#S################################################
#.#.#.#.##.##.#.#.#..#....##...##.##........##...#
#.....#.#.....#.#.##.###.####.##..#########....#.#
#####.#.#####.........#...##...##.........##.#####
##.##.#.#.#.#########.###.####....#######.....#.##
#...........#.###..........#.#######.#.####.#....#
######.####.....##########.#.#.#.##.........#.##.#
#..#...#.######.##......#........#..#.#####.######
##...###.#......#######...##.###...##.#####......#
#..####....####.#.#.#.##.##..#...#.#..#.....#.####
#####.###.##..........#..#..###.##.#.#####.##....#
#.....#####..####.###...###.##..##.###.....##.####
#####.#.###############.##...#.##########.###..###
#.......................#..###..##....#.....##...#
##.#.#.######.#.##.##.####...##..##.#.###.####.#.#
########......#.##..###....#..#.#####.....#....###
#.#.##...#.##.###########.##.####..###.#.###.#...#
#....###.#.##.#...........##...###..####.#...#.#.#
#.##.....#.##.#####.#.###.##.###.##......#.#.#.#.#
#.#..#.#.#..###########...#...##....#.##.#.#.#.#.#
#.#.##.#.#.###.....#.###.###.######.#..#####.###.#
#.#.##.#.#.#...###.......##...##....#.##.....###.#
#.###..#######.#...#.###..###.##.#.##..###.#...#.#
#.####.#..##.#######.####.#...#..############.##.#
#.#..####.#...#.#.#..#.#..##.###.##..#.#.......#.#
#.##..##....#.......##...##..##...##.....#.#.#.#.#
#####....##.######.#####.#######.####.#.##.###.#.#
##.##.#.#####......##......##.##.#.#..#.##.##..#.#
#.....#.##.#######..#.##.#.##....#...##.######.#.#
##.##.###..........#####.###..##.#.#.#....##...###
#..#..####.#####.###......#####..#.#.##.#.##.#...#
#####.#....#......######.##.....####.#..#.##.#.###
#.#.######.##.#.#....#######.##.#....##.#.##.#...#
#.#.##.##..#..#.##.###.##....##.##.#..###.####.###
#.......#####.#.##.##.....##..#.#..##.#.....##...#
#####.#..##...########.##.#..##.##.##.##.##.#..#.#
#.....##....#...#.#....#..##.#####.##.#..##.##.###
#.#.######.##.###...#.###.#...##....####..#.##...#
#############.###.#####.###.#####.####...##..##.##
#.....##........#.#..##.#...##.....##..#.##.##...#
#.###.###.###.######......#.#..##.####.####.##.#.#
####......#.....##...#.#.#######....##..##..####.#
#....#######.##.##.#.#.#.#.##.###.#####..##...##.#
###.##.......##..#.#.#.#.#.#.........##.####.##..#
#.#####.##.####.##.#.#.#.#...#.##.####...##..##.##
#..#.#####..##..##.###.#.##.##.#.....###.##.##...#
##....##.#.####.##...#.###..#..##.##.#.#..#.##.#.#
###.#........##..##.#####..##.##..##...#.####..#.#
#...##.##.#.##..##...##...##...##..##.##....##.#.#
################################################E#

#S##################################################################################################
#..#....#.##.##...#....#.#.#.#..#.#.#.............#.##.#..##......#.#.#.#.....##.#.##.##.##.#.##.#.#
##.##.#....#..###...##...#.#.##.......###.#######.#.##.##..#####.##.#.....#####..#.....#.##.#..#.#.#
#..#######...##.#######.##.#..#############.....#...##.###.##....##.#.#####.#.##...##.##..#.#.##...#
##.#.#.#.###......##.#..##.#.##.#....#...#..###.###.##.#....####.##.#.##.#....##.#..###..##....#.###
##.#.........#.##....##.##.#.##.#.##...#...##...###.#..####................##.##.#######.#..####.###
#..######.##.#####.#....##.#.##.#..##.####.#..#.......##..#####.###.##.########...#.#.##...##..#...#
##.##.#...######.######..#.#..#.####..##...#.#######.##..##..####...#.....##.##.###...####..##...#.#
#...#.#####.##.#.....###...#.##..##..##..#.#.#........##..##.#.#######.####.....#...###....####.####
###...#.##...#.#####..##.#....##.#..###.##.########.#.###.##.#..##.#........#####.########...##.#.##
#.###.#.####.#.#.#.##.##.##.#.##.#.##.###..####.##..#......#.##..#.##.########......#.#.#..#.......#
#........##..#.#.........##.#....###..######.#.....###.###....##.#.##.#..#.#.#.######.#.#.######.#.#
########..##.#.##.#.#.##..######.####.#.###....#####.#.#...##...........##.#.#......#.#.#.#.#.######
######.#.##....########..##......#.#..#.#.##.####.#....###.#..#.##.#.#.###.....####.#...#.......#.##
#...........##.#....####..#.#.##.....##.#.#####.....######.#.##.#..###.#.#.##########.#...#######..#
########.####..###.##.##.######..#.#......#.#.########.....#######.#####.#.........##.##.#####.##.##
#........#####.##..#...####...##.#.###.####.#.#.##.#.########.##.....##....####.##.#..#####..#.#...#
######.###......##...####.##.#######....#.#..........#.##.#....####.#####.##.########.#.#.##.....###
###....##..###.#####.#..#..#..#.#.#####.#.####.#####......####..#.#.#.##...#.#.#..#.#........#.###.#
#...#.####.#....#.#..##.##.#.##....#......#.####.#######.##.###.#.#.#..###.#.....##.##.###.#.###...#
##.############.#.##.##..#.#..####...##.#.#.#.#.....##..........#.#...##.#...###.#......#######..###
####.#.##.#.#.........##.#.##...#########.#...####.############.....#.#....#######.####....##.##.#.#
#.##......#.##.##.#.#.......###.#.###..#..###.#.##.##...........##.#####.#..#...##.##.####.##.##.#.#
#..######......##.####.#.##..##...#.##.##..#........##############.#.##..####.###.......####..#....#
##...##.########..##########..###...##..##.#######.##.##.....#.#.#.#....###.#.##..#######.###.##.###
#..#......##.######.#.#.#....##.##.####.....####.......#####.#.#.#...##...#.#....###..#.#..#..#....#
#######.#.......##......####.##.##.#######.##..#######.##.#........########...####...##.#.##.##.####
###.##..####.##########.##...#......##........##.##.......########.##.##.##.###..#.#.##............#
#......###....#.#.......####...##.#..##.#.#.#.##..######.##............#.##.#.#.##.####.###.########
#.#.#.##.####.#.#####.#...###.######..#######.###....##...#########.####.#..........#.#.###........#
#######..........##.###.#.#...#..#.##.######......#.##..#...#.........##...####.#.#.......##.#.###.#
#.......#.######........#...#.##...#..#.#.#..#.####.#..####.##.####.#....#....#.#.#.#.#.#..#.#..##.#
####.##.###.######.#.#####.##.####.##.#.....####......##.#.....#....#.#.###.#.###.################.#
#....##.##.........#.#.....#..#.........#.#.#.#####.#.#....##.##.#.##.###.###.##....##..###.#....###
#.##..###..##.##.#.##################.#.#.#.#..######.###.##...#.#.#.......##..##.#..#.##.....#.####
#..##...##.#...######.######.#.#......###.#.##.....######.###.#######.####..#.###.##......#.#.#..#.#
#.####.######.###................#.##...#######.##..##....#....##.#.#.##.######.#.##.#.#########...#
#.#.####..#.#.#...#.#.###.########.#..####.#.######.#..#.##.#.##.............##.#..###.....#.#.##.##
###.#.###.....##.######...##.......##.#......#........##.#..#.###.#.#.#########.##..##.#.#......#.##
#.......##########.#.#..#.#..#.##.########.#...#.##.#.##.##.#..##.#.#...#####.#..#.###.###.#.##.#..#
#######.#.##.#.##......###############.##..##.#####.#.##.#..#.#####.#.#.........##.##....#.#######.#
#..........#.#.#..#.####.#.##.#.##.##.....#####.....#..#.##.#.##....#.##.#.#.##..#####.###.....##..#
##########.#.#.########.........#.....##.###.#..##.###.###..#.###.#.#.##########...##...##.###..####
##.##..........#.#.#..#########...#.#.####.....##...##.####.###.###.#....##.##.#.#####.###...##....#
#..#..##.#.#.#.....##...#.###.###.###.#.####.#..#####....##.#.......##.#....##.#.....#.#...#.##.####
##.###############....#............####......##.#.#...#####.###.##.##..#.##....#.#######.#.#.##....#
#...###.#.#.#.#....#.###.###.##.##.#.######.#####...#...#.#.#####...##.#..##.###.......#####.##.#.##
#.#.............#.##.#...#....#.##.#........##....#.##.##.###.....###..#.##...####.#######....###..#
####.###.#.###.########.##.##.###..#######.######.#.#.......#.#.#..#########.##.##.....#.##.#...##.#
##.###...#.#####...##...#..#..##..#####.....#.##..#.##.#.####.####........##.#...#.#.#...####.###..#
#......#####.##..#....#.##.#.##..###..####.##..##.#.##.#..###.##.##.#.##.##....#.#######..###...#.##
#.##.####.......############..####.##.......##....#..####...#.#.....#.##.##.#.##......#####.########
###..#..#######.#......#.....##.......##.##.#..#.###.#....#####.#.#.#..####.####.##.###............#
#######..##.....######...#.#..####.#.##...#.##.#.##..##.#....######.##.#..#....#..#.....#.#.########
#...#.##....#.###......###.##.###..#..##.#####.#.#..##..##.#..##.#...#.##...#.##.##.#.#.#.#........#
#.#....############.###########.##.#.##..#.##..####.###.#..####....#.#.##.#.###...#.#.#.###.########
#.#.##...###....##..#............#.#####.#....##..#.#.#.##...##.#.##.#..#.#..##.#.#.#####.....#.##.#
########...####....######.######.....##..##.#.###...#...#..######.##.#.#####.######.....###.###....#
##.#.#...#......##.#......#####..#.#####.##.#.#.######.###......#.##.#...##...##.##.#.###.......##.#
#..#.#.#####.##..#####.##.#.....##..##....#####......###...#.######..##.###.#.....#.#...##.#.#.#####
##.#.####.....####.....######.#.##.#####.##.....##.#.....#.#...#.###..#.#.#.###.#####.########....##
#.....#.##.#.###...##.##.#.####.####.....#..#.#.##.#.#.#.###.#....##.##.#....##.##.#......#.###.#..#
#.#.#......#.##..####.#..........#####.#.#.####.##.#####..##.##.####..####.####....##.#.#.....#.#.##
########.###########..##.#.###.#.#.....###.#.##.##.##....##..#.....##..##...##..#.###.#.##.#.##.#..#
#..#.#.####.##.###...##..#.#...#.##.#.##...#....#...##.#..##.#.#.#.##.#####..#.##...#.###..#..###.##
##...............###.#..##.###.#.##.#.#..####.#.##.###.#.##..#.#.###.....##.##.##.#.#..##.######...#
#..#.#.#.##.####...#.##..#.#...#..######.#....#.#..#...#.#####.#..###.####..##..#####.##.....#.###.#
#.####.#######...#...##.##.###.#.###.....##.#.#.####.#.###.##..##..##....##.##.###.....#.#.###...#.#
#.#.#..#.......#.###.##..####..###.##.##.#..###.##...#..##....##..####.#.#..##.##..#.#.###.....#####
###...###.#.##.#.#...#..###.##.....##..####..#######.#.##..##..##.##.#.####..#.###.#.###...#.#...###
#...#.#.#.###..#.##.###.#....#.#.#..########..##.....#..#.##..##.....#...###.#..##.#...###.#.#.#...#
###.###...#########.##..####...#.#.##..#.#.####..##.###.#..##.##.#.###.###...####..#.###...#.###.#.#
######..###..........######..#.#.#####...#......###..##.#.######.#...#.#.###..##..##...###.#..##.###
#.#....##...####.#.#.##.....##.#....####...##.####..##..###......#.#.#.....#.####.#..#..##.#.#######
#...##.##.#####..#.#.###.#.###.#.####.#..###..#....###.########.##.#.##.####..#.#.##.#.#####.......#
##.##..#####....##.#...###.##..#.##.....####.##.####.......##....#.#.##....##...#..#.#.....#.#.#.#.#
########.#...#.##..#####....####..####.###...##.#....##.######.###.#..##.#..##.###.###.#.#######.###
#.#.#.#....#.#.###...####.#..##..###...##..#..####.#.##...##.....###.###.##.#....#..##.#.....##....#
#.....####.#####...#...##.##..##.#.###.#..##.##....#.##.#..###.#.#.....#######.####.##.##.#.####.#.#
#####........#####.#.#..###..##..#.....#.##...#.#.##.##.####...####.#.####........#.#..####...##.###
#..##.#.##.###.....####..###.#..####.###..##.##.#.#..##.##...#..##..#....######.######..##..#.##.###
##....####...#####..##..##...#.##....#...##..##.####.##..###.##..####.##...##........##..##.###....#
#####.##...#.##.#..####.#..#.#########.#.###.##.#....#..##...###...##.##.######.###.##..##..#...#.##
#.##...#.#.#.#....##.#..####.##.#.#....#..##..######.##.#..#..##.####.##...##.....#.##.########.#..#
#....#.#.#.####.#....##.#....#......#.##.####..#.#...##.#.###.##....#..##.##..#.#####....###....#.##
#.#.##.######.###.##..######.##.#.#.#.##..##..##.###.##.#.#...##.#######...##.#....##.#.##...##.#..#
#.#.##....##.......####......##.#.#.###..##..##......##.###.#..#.......##.##..##.#..###..#####..#.##
#.######.######.#.###.##.#.#.######..##.##..####.#.#.#..##..##.#.#.#.###...##..####..##.####...##..#
###......##.....#.##...#.#####.#....##...####....#.#.##..##.####.###.#####..#.###...##..#....#..##.#
########.######.#.##.#....##...###.###.#....####.#.#.###.#..#.....####.#.##.#.#...#.###.#.##.#.##..#
#.........##....#.#..#.#.#####.......#.##.#.#....###.#.####.#####.........#######.#...#.#..#.#..##.#
###.#.#.#####.#.########.######.#.#.#######.####.##......##.#.....#.####.###.##...#.###.#.##.##.##.#
#######.##.#..#.##.##.....##..###.#...##.#####....##.#.####.##.##.#...##.....###.##.##..#.####..##.#
#..#.......##.#.#.....##.####.....##.##...##...#.##..#..##..##.#..#.#.##.##.##...##..##.#..##..###.#
##.###.###.#..####.##.##...##.###.##..###.#..#.#.##.##.###.##..#.##.####.#...#####..#####.##..##...#
#........#.##..#.###..###.#####...######....####..#.####...#####..#####..#.#.....##....##..##..###.#
#####.##.###..##.####..##.#.....#..##.#..##.##...##....###...####.....####.#.##.##..#.##..##..####.#
#.....##.##..##....#..######.##.##....##.#...##.####.###...###....#.#....###.##.###.#..######..#.#.#
##.##.##.##.##..##...##......##.#..#.##..##.##...##..##..#...##.#.#.#.#.##...##..##.##......##...#.#
##################################################################################################E#

#S####################################################################################################################################################
#.......#.##.#.#...##.....#.#.#..##.#.##..#.##.#..##..#.##..##.....#.##.#.##..##......##.#.#.#.......#.##.#.#.##..#.##.#..##..#.##.##...##..##....#..#
##.####.#.##.#.##.##..###.#.#.#.##..#..##...##...##..##.#..#######...##.#.#..###.######..#.#.######.##.##.....#..##.#....###.##.#...##.####..##.###.##
####.#.............#.##...#.#.#..##.#.#####....#####..#.#.##.#...##.##..#.##.#.#......##.#....###......####.#...###.##.###.#..#.###....#..##.#..##...#
#......##.######.#...#..#.....#.##..#.#.##..##..##...##.#.##.###.#..##.##.##.#.#.######....####.######.#.######.#.#.##...#...##..#####...###.#.####.##
#.##.#.####..#######.##.##.##...###.....######.#####.##.#..#.#.....###.....#.#.....##.####..#.#..#.#.......##.#.#.#.#..###.####.##..#..###...#.#.#...#
#.######.###....#....##.#..#..#..##.##.##.##.#.#.....#....##.#####.#.#####...#.######.#.##.##.##.#.###.##.##......#...##.#.##.#..##.##.#.###.#.....###
###..........##...#.############.....###.....#.#####.###.###..##.......#####.#...###..#.#..........######.###.#.#...###....#..##.#..##....##.#.#####.#
##..#.#.#.##..#.#.#.##......##.##.##..##.###....####.###.#.#.#########...##..#.###...##.##########...##.#...######.##.##.###.##..#.##..####..#.......#
#..########..####.#######.#..#.######.#####..####....#.#.#.#..##..#..###.###.#.#.###..#..####.#.####..#.#.########.##.##..##..##....##....##.#.#.#####
####.#..##..##.#..##.#.#..##....###....##.##.#.##.##...#.#...####.##..##.#.....#.#.#.##.##..#....#.#.##....##.#.#..##....##..####.#....#.###.#.#####.#
#.#....##..###.##.#....##.###.#.#.###.##........###..#...##.##.#..###.##.#####...#.#..#..##.####.#.#..##.#..#.#.##.##.#####.##..####.#.###.#.#..#..#.#
#.#.#.######.#..####.#....#...###.#.#..###.####..##.##.#....##.#.##...##.....##.##.##...##..#..#...#.#####.##.#.......#.#.#..##...####.###...#.##.##.#
#.###.#.##...##.##.##########..#......##.....##############.##.#..###.######.......#..#####.##.###.#.#.##.....#######...#...####.##.#..#.###.........#
#..#..#.####.##.##.##...###.##...###.####.####.#####.###.......#.##....##.####.#.###.###..#.##.##..#.#..#####.##.#..#.###.###..#.#..##....#..##.######
##.##.#.#.#..#..##..###......##.##....##..#..#.#.##....##.####.#.#####.##......#..#..#.##.#..#.###.#.#.##......#.##...#.#...##.....##..##.#.#####.#..#
#...#.....##.##..#.##.####.#....#..##..##.#.##.#..##.###..#.......#.##..##.###.##...##..#.##.#.#.....#..#.####.#.###.##.#.#######.####.#........#.#.##
##.##.#####..#..##......##.##.####.###.........#.###.#.####.###.###.###.###########....##.#..#.#####.#.#####.........##......###..##.####.#######....#
#...#.##..##.##.#######..#.#####....########.###.##..#.#.####...#.#..##.#.##.....#####..#.#.##.#.###....##.#########.##.######.#.###..#......###..####
###....#.##..#..#.#.##..####.#.######....###.#.#..##.#.#....###.#.##....#.#..###...###.##......#.#.#.####..#.............#.#.#.#.#.##.###.####.##....#
###.##....##.##.#....##..##.....#.##..##.....#.#.###.#.#.##.#...#.#####...########.#....##.#####.#.#....##.##########.####...#.#...##.......##.##.####
#....######.....####.###.####.#......#######.....#.#...#..#####.....###.####...#.....##.##.#..##.#.#.####..##.##.##.#.##.##.##.###..#.###.####.##.#..#
####...##...#.#...#...##...#####.###.#..####.##.##.###.##..##.###.###.#..#.###.#######...#.#.##......#..##.##.#..#..#.##.##.##.##..######....#.##.#.##
#..#.############.##.#####.#.#.###.#.##.#....##.##.###....##...##.##..#.##.##..#.#.#####...#.######.##.##...#.##.##...##..#.##..##.#.##...####.##....#
##....##.#.#.#.....#.#.##..#...###.####.####.#####.#.##.#..###.##.###.#.......##.....##..#....##..#.....###.#.##..###.#..##..#.##.....###...##.#..####
#..####..#.#.###.#......##...###....##........##.#.#..#.##.....##.#...#####.#..#####.######.#..##...#####.#.#.#..###..##.###...###.####...####...##.##
##.#..##.#.#..########.#####.#.####.####.###.##....#.########.##..###.....####........###.####.####..##...#.#...##.##.#...###.##.#.#.#..#####..####..#
#....##......##.##.....##.#....##....######...#.####..###.##...##.##..######.###.##.#..........#.#..#####...###..#.#..###..#...#.#.....###..##.#..#.##
##.#########.#..##.#.#..#.####.####.##.##...#....##..##....##.##...##.#.###..#################...##..#.#..###.##.#.##.#.##.##.##.##.##.....##..#.##..#
##......##...##.#######.........#.......#.###.######.####.##..##.###..#.#.##.#....###..#.##..###.##.##...###.......##...#..##.##..###..#.###..##..##.#
#..##.######.....##.#.####.####.######.#####..##......##..###......##.#.#.#....####.##....#.##......##.####..#.#.#..###...###.#..###..#######....##..#
##..#####.#..##.##..#.#.#####...#.......##.##.###.#######..##.##.####.#.#.###.###.#..####....######..#.###..#######.#.###..#....##.##..###..##.#####.#
###..##...##.#...#.##...#.#.###.#######.#..#..#.#......##.###.#..#.#.......##.#.#.##.#####.#.....#..##...####.#.###...#.##.#.#####.##.##.#.##...#.##.#
#.#.####.#######...##.#...#.............##.##.#...###.##....####...###.#####.......#....########...###.###.##....#..#......#.#.##......#.#..##.##.#..#
#.#.#.#...#.#....#..#####.#############.....#.###.#.###..######..#.#....##.#.##.##.####.#.#.#.####......#...####.#########.#.#.#..##.###.#.##..#..#.##
#.....###...######.###.#..##..#.#..#.######...##.....###.#..#.##.####.###..#######........#.....#..######.####...###.......#.#.#.#####.#.#..##.#.##..#
#####.##..###...#..#.#.#.####...##.#...##...#..##.####.#...##..#..##....##.##......#.####.##.##.#.##...##..#.#.#.....#.#.#.....#...###...#.##.....#.##
#.#.#..##...###...##.#....#.###....#.#..######....#.##.###..##.#.###.#####..######.###.##.#####...##.#..#.##.####.#.##########...###.##.##.###.##....#
#.#...##..###.###.##.##.#...###.##...##........##.#..#.#.#.###...#.#.#.##..##.#.#####......##.###.#####........######...#...##.###...#..##.#.#.#######
#...#..##.##..##.....##.##.##.####.#.###########....##.#.#.#.#.#.#.....###.......##.#.####.##..##.#.#...##.#####.#.####...#..#..####...##........###.#
##.###..#..##.###.#.#####.....##.#####.##.#########.##.#.#.#.###.#.#####.#####.#..#.###.#..###....#.###.####.##.......##.###...##.####.####.######.#.#
##..###.##..#.#...####.####.###..##.#..........#.##.##.#.#.#..##.....###.#...###.##..#..##...####.#.##...##..####.########.###.##..###..#.#.##.#.#.#.#
#..##....##.#.###.##....#.#.#.##.##.##########......##.......###.#####.#.#.#.##...##.##.##.###......##.#####..#.#.##.##.##..#...#.##...##..........#.#
##..####..#.#.#.#.#####..........##.###.#.##.#.#.##.########.#.#.#.#.#.#.###.###.##..........####.#.##.##..##.....##.##..##.###.#..##.##..##########.#
#########...#.#.#..#.##########.##..#.....##.######.......#....#.#.#.#.#..#..#.#.#########.####.###.#.....###.###.#...##.##.#...#.##...##.##.##.#.##.#
#.........#...#.#.##.#..#####.#.###.#####.#..##.#...#####.##.###.#...#.##.##.#...#.#.#.#....##...#..##.####.###.#.###.#..##.###.#.###.##..##..#...##.#
###.#.#######.#...##.##.........#.#.##....##.##.#####.#....#..##...###.#..##.###.#.#...##.######.##.........##....#...##.##.#.#.#.#.#.###..#.##.###..#
###.####......##.###.##########.#....####.#..##.#.##..####.##.##.#.#.#.##.##.......###....##.#.#.####.###########.###.......#.#.#.#.#..###......#.##.#
#.####.####.#....##..#.#.##...#.####.#.##.##..#.#.###.#....##.##.###.#.#...#######.#.####....#.#.#.......##.....#.#.#######.#.#.....#.##...######.##.#
#..##...#...####..##.#...####...#.##.#.##.###.#.#.#...####.##.#...##.#.#.###.....#........##.#...####.#########.#.#.##.###..#.#.##.##..###..#.##..##.#
##.####.##.##.###.#..###.#.####.#.#.....#.#.......###.#....#....#.#..#.#...#####.#.#.#######...###....##.##.##...........##...####.##.##.#.##.###.##.#
#...#.#.##.#........##.....#.##...#####...######.##...####.#.#######.#...###.##..######..#.###..###.#..#..#.###########.#####.##...##..#...##.#.#.#..#
###.#....##########.######.#.####..###..###.#.#..###.##....#.#..##...###...#.###..#.#.##.#.##..##.###.##.##.#.#...#.##..##....####..#.##.###....#.#.##
#...##.####.##......#.####.#.#.###.#...###....##.#.#.#####.....#####..####.....##.#.#....#.#..###.##..##..#.#.###.#..##.#####.#..##.#....####.#......#
###.##.###.....##.#............#.#.###...####.........#..#.###...#.#.##..##.#.##..#.####.....##....##..##.#.#.##..#.##...##...#.##..#.#.##.#######.###
###.#....##.#####.#####.#.###.##...#.###..#######.###.##.#####.###...##.#####..##...#..###.#..##.###..##....#..##...###.#####....##.#.####.#.##......#
#...#.#####.#...###.#.#######.####.....#.##...######......##.#.#.##.###.##.#..#####.##...####..#...##..####.#.##..#......##...##.##.#..#.#...##.##.###
###...##..#####.##.....##.....#.######.#..##.##..#...####....#.#..#.##.....#.##.#....##.##..##.#.###..##.#..#..#########.#######.##...##.#.######..#.#
#.###..##.###......#.########.#.#........##..###.#####....##.....##.#####.##.##.####.....##....#.#.##.##.##...##.#.###.......##.....#.##....##..##.#.#
#...##......########.#...##.....##.#####..##.#...#.######..####.##...##.#.#..##.##.#####.#####.....##..#..###.#..#.#.######.##..##.######.###..###...#
###.##.####.##.#.#.....######.######.#...##..#.#...#.##.####.#...##.##..#...##..##...#....##.###.#####.#.##...##...#.##.#...######...#.#..#...##.#.#.#
#.#.##...#####.#.####.##.##...##.##....#..##.#####.#.#...#.....###...##...#.###.####.#.#.##......#..##....##.#####......###.#.##...#.#.##.###..#.#.###
#.#.##.###.##..#.##.......##.###....##.##.....##.#.#.###...#.#.#...######.###....##..###..######...#####.###.##....###.##.#.#.####.###.##...##.......#
#...#...#..###...####.###.#....####.#..####.#........#.#.#####.##.##.##.#..#####.###..###.##.##..###..#..##..##.####...##......##...##..##.#####.#####
###.###...##.##.##.####.....#####.######....##.#####.#.####.##.#...#.#..##...##......##......###...##.##.##.######...#..#####.###.###..##..##.##.#.#.#
#...##..#.#..#.....#.######...##..##..###.#.#..#........#......###...##..##.###.#.##..######...##.##..#..##..#.#.######.......##...###.###.##.##.....#
###....#####.#####..........#####.##.##.#########.#####...####.#.###.##.##....######.##......###..###.##.###...#..###.######.##..###.#..#...#.####.###
######..##...###...########..#.#..#..##.##.#..#.####....#.#....#.##..##..##.#..##.....######...##.#...#...##.###.##.......#...##.##..##.##.##.#.##...#
#..##..#####.#.######.......##.##.##.##.#..##.#.#....##.####.#....##..##.##.#.#######..##..###.##.###.#.###..#.#..#####.#...#....##.##..##.#..#.#..###
##..##..#.#..#.#..#.######.##..##.#..##.##.##.#.####..####.######..#.##...#.###...####.###......#.#.#.#.####.#...##..######.###.##...##.##.##.#.##...#
###....##.##...##.....#.....##..#.#.##..##.##...###..##..#..#.####.#.#..#.#..####.#.#...##.#.##.......#.#.##.#.#####.#.#.##.##...##.##..##.#.....#.###
#.####.##..###..#####.#####..##.#.#.#..##..##.###.######.##.#..........#####..##......###########.###.....##.#.#..##......###..#..#..##.##.##.##.#...#
#..###..#.##.##..##.#....###.#........####.##.##..##.....##.##########...##..########....####.#######.##.###.#.##..##.##.###..###...##.....##..#.#.###
##.#.##.#.##.#..##..####..##.##.#.#.#..##......##..#####.##.#.#.#......####.###.###.#.####.#..#.......####.#.#..##.##.#..#.##...###.####.###..####.#.#
#....#..#.##.##..##.#.###.....###.#.##..###.##..##........#.......####....#.#.#.#...#..#.#.##.#.#####..##..#.#.##..#####.#..#######.#.#....##..##..#.#
####.##......##.###.#.#.####.##...#####..##..#.##########...#####..###.####.#...###...##.#.##.####.###..##.#....##.#.#.#.#.####.........##.##.##..##.#
#.#...####.####.#.#.#.#.##...###########.#..#####.##......#.#...#.##.....##.##.######..#...##..#.....#.###...####....#.#.#.##.#########..###...##..#.#
#.###......##.#.#.#.#.#..###..##.##.##.#.##...#.#.###.#.#######.######.####.##.##...##.#.#####.#####.....#.#.#..####.#.#.#.#...#.#.#..##..##.####.##.#
#.##..#.##....#.#.#...##.#.#.###.#..#....#..###.#.#.#######..##.##.##...#.#.##..#.#..#.#..#.#........#######...##.#....#.#.#.###.#.#.####.##..##...#.#
#....##.###.#...#.###.##.#.#.#.#.##.####...####...#..#.#..##.#..##....#...#.#..#####.#...##...######..#..##..#.#..####...#.#..##...#..#.#.#..##..###.#
####..###.#####...##..##...#.#.#.#....####....#.#...##.##.#..##.#####.#.#.....##.##..#.########..#.#.##.##..#####..#.###.#.##.####...##...##..##.#.#.#
#..##.##...#..###.###..###.#.#.#.####...##.########.........##...#.########.###...##.#.#..##..##.#...#...##.#.####..........#..#####.##.#####.##.....#
##.#######.##.........##.#.#.#.#.#.####.#..###.##.#########..###...#.#.##....###.##....#.##..##..###...###.....#.##.#######.#.##.#.#.#...##.#..#.#.###
#....##.#.....###.#.#..........#.#.#.#....##...#..###.#..###.....#.#.#..####...#..##.#.#..##.###...###.##..#####..###.#.#...#.##.#.#.#.###..#.##.#####
####.#..#####.#...#.##.###.###.#...#.###.#####.#.##.#...##.#######.#...##..#.###.##..###.##...#..###....##.#.#.##.##......#...##.#.#.#...##....#.##..#
###..#.##.#.##########.######..###.........##..#....###.##.##.#.#....#.###.#.#.#..##..##.####.##..#..#.###......#.#..###.####.##...#.##.####.###..##.#
#.##.#..#.#..#...#.#...#.##.##.#.#######.#####.#.#.##.#.#.....#...####.....#.#.#.##..###..##..###...#####..######.####.###.#..####.#.#..#.#...##.###.#
#......##.##.###...#.#.#..........##.##...##.#.#.####.#.##.##...##########.#.#.#.##.##.#.##..##.###.#.#.##..##.##...##.##..##..###...##...###........#
#.#.##..#.....####.########.#####.##.###.###.#.#.##.....##..##.##........#.......##..#.#..##........#.#....##..###.##...##.#..##.##.###.####..#.#.####
#.#.###...##.##.#...#.##..###.........#..#.#...#.###.#.##..##..###.#####.###.#.#..##.#...######.###.....#.##..##....##.##..##.##..#.#.#..##..#######.#
#.###...#.#...#.###...###.##..###.###.##.#.###.#.#.###..#####.##.###......#######.##.#.###.#.########.######.######.#...##.......##...#.####...##..#.#
######.######.#..####......#########.......#.#...#..##.##.#.####.#######.##.#.#...#....#.#....##.........#.#.##..#....#..#######..###....##..#####.#.#
#.......###...#.##.######.##.##.##.##.#.##...###.##.##.##...##........#...#.#.###...##...##.#######.#.##......##.###.#####.#.#...##.####..##...##....#
######.##.###......#..#....#.#......#####..#.....#..##..##.#######.##...#.........#..#.###..#..#############.##..#...#.##..#.###.##.##...##..###..####
#.##...#..########.##.####.#.###.##...####.#.###.##....###..##...###..####.######.######...##.##..##.#.#.....###.###.#..##....##.##..###..##.#.#.##..#
#....####.#.#..........#.#.#.#######.##.#######...#.##..#..#####.##..##..###.......##.####.##..##.#....####.##.#.#...##..#.##.#..##.#####.........#.##
#######.#.....###.##.#.............#.#...##.#.###.#####.#.###.....##.###.....#####.....##..###.##.###.###.#.#....#.#..##.####.##..#.##.####.#####.#..#
#.###.#...#.#.##..#..##.#.##.#.#.#...##.##.....##.##.##...#.#####..###.########....###.##.##...##..##.##....#.#######..#.##.#.###....#.#..#.###.#.##.#
#.......#.#.########################.##.####.#........##.##..##.#.##...#..#.....##.#...##..#.#....##..#####...##..#.##...##.#.#.####.#.##.....#.####.#
###.#.#######............#.##.#.##........#####.###.#..#.##.##..#.####.##.############....#######..##..#....#..##....###.##.....##.#...##.##.##..##..#
###.#####.....##########.#.#..#.#######.###.#.########.#.##..##...#.#..#....#.##.##..###.##.#.####..##.#######..####.#...####.####.###....##..##.##.##
#.#.###.##.#.##..........#.##....#.##...##..#..#...#.#.#....#####.#.##.##.#...##.#..##........#.#..###..##.#.#.##.##.###..###..##...###.#######..#..##
#.###.#.##.#########.#.#......##....###..##.##.###.#...#.####.##....##..#.###.##.##..#####.##.#.##.##..##....#.#..#..#.#.##...###.###.....##..##.##..#
#..#....#####........#.########..##.....##..##.#...#.#....##..###.###..##.#...##....##.##..#.......###..##.#.#.##.##.#.#..###.#.#...##.######.##..#.##
##.##.#..##...#.#.#.##.#..#.#######.###..##.#....#.####.#####.......##..#.###..###.##...#########.##...##..#...#..#......##.#.#.#.###....#.#..###....#
#...####..#.#.###########.....###.######.##.######..#.#.##..#####.#....####.#.##....###.#.##..###..#.#.#######.##.#####.##..#.#.#..####.##.##..##.####
#.#..#.#.#######.#.#.#######.##.#.##..#.........###.#......##.########..##.....###.##.....#..##.#.####..###.#...#..#.#..###.#.#...##.#..##..##.##...##
####.#.#.#.#.##......#.#.#....#.#.###.##.######.......#.#####.#.##.#...#######.....######.#.##..#..##..##...###.##...##.#.#.....###....####..#.#..#..#
#........#.#.#..####.#.#.####.#.#.#......#..#.#.#.##.##..##.....##.#.#.#.#..######.#.#.#....###...##..#####...#.####.#....####.##.#.#####.##.....##.##
###.####.#.#.####...............#.##.#.####.#.######.#..#####.####.###...##...##...#.#.##.###.###..##.....###...#.#..####.####.##.#..##.#..###.#######
#...#.........#####.#.#########...##.####.#.#.##.#.####.#.#....##...####..##.###.#.....#...#..####....#.###.###.#.##.##...#..#.##.#.##..#.##.#....##.#
#######.##.##....#######........#..###........##.#.##.#...####..#.###.###..#.##..#####.###.#.##..####.#..#..#......#....#...##..#.#..##.#.#....##....#
#........#######..##.#.#.###.##.##..#####.#.#..#......###..####.....#.#.##.#.#######...##.....##..######.##...#.##...######..##.#...##......#.########
##.##.#.####.##..##......#...######..#.#######...####.#.##.#.#..###...#.##....#.#..#.#..##.####..##..#....#####.##.#.##..###.##.##.##..####.####.##..#
#..#######....##.####.#.###.##.##.##....##.#.##.##.........#.####...#....####.#.##.####.....#.##..##.####.##.#..#..#####........##.###....#..#.#....##
####.#.#.####.......#########........##.........######.###....#######.##....#.#..#.#######.##.#..###..##..#..####.##.....#.#.##.##.#...#######...##..#
#.#..#........#####.##.#.###..##.##.####.####.#.#......######.#.#.#######.#...##.#...#.##..##.##.#.##..##.#.####...############..#.##.##.####..#######
#.##.#.#.##.#.#####.......#..#####..#..###.########.##.#......#.#...##..#.###..#...#.#..##..........##.#.....#.#####....#.#.#.##.#.#......#.##.###.#.#
#.##.##########...#######.####.#######.#...#.#.#.#..#####.###...#.#####.###.##.#.######..##########.#..####.##.#.#.####..........#.#.######..#...#.#.#
#.##.##.##..#####.#.##.#...###.#...#.#.###.#.#.#.####.#########.#..#.#..##.....#...##.##..##.#.##.#.#.##.##.#..#.#..##..#.##.#.#.......###..##.###.#.#
#.##.##....##.##.........#.....#.###...#.#.....#.##....#.#..#.....##.#.#####.#...#.#..###..#.#.##...#.#..#..##.#.#.###.############.####.#.###.#.#.#.#
#.#...####.#.....#.#.#.#######.#.#.###.#.##.##.#..###.##.##...###..#...##.######.###.##.##......###.#.##.#.##..#.#.#.###.#.#..#......#.#.#.#.........#
#.##.###.#...###.#.#.#####..................#....##.#.#...########.###.....###....##.#.....####.#.#.#.##...###.#.#...##....##.#####.##.......##.#.##.#
#.##..#..#############...###.#.#.#.####.##.###.#..#.#.###.#.....#......###.....##..#.####.####........##.#.#.#.#.##.##..##.......##..#####.######..###
#....##.##.##...#.#.####.#.#####.###....##.##..##...#..##.#####.#.####.####.#.####.#.#..####.###.####.##.#.......##.############.##.##..#..#....######
#.##..#.##..###.....#............##################.##.#..#.#.....######.######....#.#.##.....####.##.#########.##...##..#...........##.#.##.#####.#.#
#####....#.##.#.###.#.##########.#..##.#..#.####.#...#.##...#####.#...##.#.#.#####......#####...##.##..##.###.#..###..##.#.########.##..#.#..........#
#.....##....#.###.#.####...#.##..##.#..#.##.#....###......###########.##...........###.##.#####.#.....##......#.##...##..###.#.#.#...##.#...####.###.#
###.#..###.##.##..#.##...#....#####.##....#.####...##.###..##....##....########.##.##.....#.#...####.##..####.#.##.#..##.##......##.###...############
###.#.##....#.###....#.#.#.##........###.##.#.#..########.##..##.#####..##.#.#..##.######.#.###.###...####.##.#.####.##.....####.##.#.#.###......#.###
#...#..####.#.#.#.#.#########.##.###.....##.#.##.#.#.#.....####...#..#.##......##....##.....##....##.##.#..#.....##...#########..#..#.#.....######...#
#.#.####........###.#.#..##.#.#..#...###.............###.#...####.##......###.##..##..##.##.####.###.##.##.#####..##.##....##.##.##...#.#####.#..##.##
#############.###...#.#.##....#.######...###########...####.##.##.#..##.#.#...#..##..######.#.#..#.#.....#.#.....###..####.#..#...#.#.......#.#.##...#
#.......#......####.#.#.#########.########.###########.##.#.##.##...##..#.#.###########.......##.#.#####.#...###.#.##..#.#.##.###.#.#########.#.##.###
#####.#...#.##..##..#.#.#.####.#........#...............#.........#.###########.#..##.###.###.......###..#####...#.##.##.#.#...#..#.##.##.##........##
#.#...#.#.#####.###.#.....#..#.########...##.######.###...###.##.####..##.........##..##....##.#.#.##.##....####....#.##...###.##.#........##.#####..#
#...#.######......#.#####.##.#..##.##.#########.#...#...###...##.#.###.##########..##.#..#########.....###.##..####.#..##.##........#########...#.####
##.##.##...#.####....##.#.##.#.##......###..#.#.#.#.###.#...#.#..#..#..#.##.#.#.#.###...#####...####.#..##..#.##.##...##...########.#..#.##.#.###.####
#...######...#....##..............####.#.##.......#.#...###.#######.##..............##.###..###.#....##.###....#.####..#.#.....##...#.##.#..#..#.....#
###.#......#.##.###..###.#.#.#.#.###.#....###.##.####.#.#...###.#.#..####.#.#.###.#..###.##.##..#######.#.####....##..#######.#####.#......##.##.#####
#...######.#.#######.#...#.###.#.#...###.##....#..#########.#.....#.##....#####...##..##.##..##.#.#.#...#.##.####..##..##.#...##.#..#.######.....#...#
###.##########.##.######.#.##..#####........#.##.##......####.###....####.##.#..#..##.....#.##........#...#.....##..##.#..###.##.##........#.###...#.#
#.###.....#.#..#.........#.######....##.##.##..###..####.#.######.##....###..#.#####..#.#...#..#.#.#.##.#...#.#..#.##..#.##.......##.#######.#.#######
#...##.##.#.##...#.#.#.#.###....###.###..#.#..##...##.............#####.####....##...##.###.##.#####.####.######......##..######.###.##...##.#.##.#.##
##.#####.....###.#.###.#.####.#..#..#...####.#####.##.#.#.######.##..........#.##..#.#####.....##....#....##.##..####..##.#......#.#....###.....#....#
#...#..#####.....###...#.#..####...##.#.#.#####.....#####.###.##.##.#.#.##.#######.#.#.##..#.#.#..#.#####.##..#####...##....####.....##.#.###.###.####
#.#...##.#.#.##.#####.##.##......#.##.#....##...#####.....#.......#####.#..##...######.###.#.#.####.##.##..##.......#....##.#..###.######............#
#.###........#..#.....##.#..###.##.####.#######.###.#.###.#####.#.##....#######.#.#.#......#.#.##...#.....########.###.#.##.##.......#.#..##.###.#####
#.#...##.#.#.#.##.#.#..#.#.##...##.#....##......#.....#...#.....#.##.#.##.............##.#.#.#.##.#.##.#.##........#...#.#...##.##.#.....##....#.....#
####################################################################################################################################################E#

#S######################################################################################################################################################################################################
#.##.#.#...##..##..#.####.#..#.##....#.#..#..##.##..#...#.#.##..##.....##.#......#.#..#..##.##...#.##.......##.#.#.#..#....#.#..##.##..#...........##.##.#..#.##.##.....##.#.#.#.#.#.#.#.#.##.##.....#.#
#..#.#.#.#####.#..##..##....##.#..####.#.##.##...##.#.###.#..##.##.###.#..######.#...##.##..#..#.#.##.#######..#.#.##...##.....##...##...###.#.##.##..##...##.##..##.####..#.#.....#...#.#.##.##.#####.#
#.##........##.##..#.##..#####.#.##..#...##..#.#.#....##..#.##..##...####.#...#....###..###.#.####..#.....#.##.#.#..#.############.#####.#.##########.##.###..##.##.....##.....##.##.###.#.##.#....#.#.#
#..########..#..##.#..##..##.#....##.#.###..####.##.#####...##.###.####.#.###.####...##.#.......##.##.#####....#.##.#.###..#..##....##.......##.##.#.......#.##.....#####..########....#.#.##...##.....#
#.##...##.##.#.###.#.####.##.##.###......##..##..##.....###..#.##...##....##..##...####.####.#####.##.......####.#......#.##.#####.#####.#####..##.##.######.####.###...##..##.#.##.####.#.###.######.##
#..###.#........#..#...##..#.#..#.##.##.####.##.##..######..##..##.####.####.#####..##..####.###....#.#######.#..##.#####..#..##.#..##.#.##..##.#.........##..##..#.##.###.##..#.#...#.#.#.#.#.....#####
#.##...#.#.####.##...#####.#.##...##..###.##.##.###...##...##..##....##.#.#...#..##.##.##..#...##.###..###.#..#.##..##....##.###.#.###......###.##.#.#.#####.####.#.##..#...##.#...###.#.......#.#..##.#
#..###.#####.#...###.#.##.....#.#.##.####........##.######..##.#..#####...##.##.##..##..##.#.####..##.##...#.##..##.#..#.##....#.#...#.#.#.###..##.#####.##...##..#..##...####...####....#.#.#.#######.#
##..##..#.#..##.##......###.#...####.##.##.#.##.##..#..###.##..#.###.#..###...#.###..#.##.....##..##...##.##....##....#####.####...#####.###.##.#...#.##.##.#..##.#.##..#.##...#.##.##.#####.#..#.##...#
###.###.#.##.#..######.##.#####..##.....#######..##.#.##.#..##....#..##.#.#.###.#.##....##.######....###..##.######.###.#.#....###.#.##...##..#.#.#.#.##..###.##.......##..#.###.##.....#.#######..###.#
#.#..##.#.##.##.#.##.#.##..#.#..##..#.#..##.#.#.###...##.##..#.####.###......##....####......#.#..#.##...##....#.#........#.####.....###.####.....###....##....##.##########.#####..###....##..##.##...#
#.##..#.#.#...#.#.#..#.##.##.##..##.###.##.......#..###..###.#..#.#.##..#.##..####....###.####.#.####..#....####.###.##.###.#.######..##..##..##.###..########..#..##...##.#.#.##..#####.####.##.....###
#.###.#.#.###.#.#.##.#.##..#.##.##....#..#######.#.####.##.....##......########....####.#..###.....#..##.#.##.##.##...#####.#.#.##.##.###..#.#####.##...#.##.#.##.##..####.#.#.###.....#####...#####...#
#.#...#.#.#...#.#.##....##.#.#.....##.####..........#.#.######..###.####.##.######.#.#..#.##.##.####.#####.##.##.####..##.#.....##.##.#...##.#..##.##.###.##.#.#..#..###.#.......#.#####...##.##..#..###
#.#.#.#.#.##.##.#..###.##..#.#.#########...#####.####.....##.##.##...#.#..#.#.##.......##..#.#..#......######..#...###..#.#.#####..##.###..#.#.###.##.....##...##...##.#.##.###.##.....##.##...##.#.##.#
#.###.#.#..#.##.#.##....##.#......#..#.###.#...#.#.####.#.#......###.#...##.#.#..#.###.##.##...##.######.##.##.#.###.##.........##..#...#.##.#.#.#.##.#####..###..###....##.#.####.######.####.........#
#..#....##.#.##....####......######.##..##.###......##..########.#.#...###..#.#######......###.....#...#.##..#.....#.##.###########.###.#.##.#.#.#.##..##.##..##.#####.###.....##....##.#..##..#.#.###.#
##.####.##.#.#####.#..####.###.##....##.########.######..##.#.#......####..##.##..##..##.#.#.#.#####.###..##.##.#.##..#.#..###..##...##......#...#....##..#..##..#...#...##.####..#####.#.##..##.#...#.#
#..##...##.#...##..#.##.#....#.#..####...###.#.....##...###.#.######..##..##...##....#######.#..###...#..##...#.#####.#...##.#.#####..#.#.####.###.######.#.####...###.###...####...#.#....##.########.#
#.#####......#####.#.#..##.###.#.##..##.##.....#.######.##..#.#.##...##..####.####.#.#..#.#..##.#.#.###.#####......##...###......#.##...###........###..#...#.#..####..#.#.#.#.#..#.#.#.#####.#.#.##.###
#.#.#.######..##...#.#.##..#.#.#..##.##.#####.####.#.#..###.....####..##.#.#..#.####...##.##.#...........##.##.#######.#########.#.####..##.######...##...###.#.###.#.##.#.###...####.#.........#......#
#.#....##.###..###......##.#.#.##..#.#...##.#.#.#..#.##.#.####.##.#..##....##.#..##..####.#....#.#.#.#####..##.##.##.#....##.##..#..##..###.####.########..##.#.#.#...##.#.##..###.#....#######.#.######
#.###.##..#...#####.#.#.##.#.#.##.##.#.####.#.....##.#....##....#.#.####.####.#.####.#.#..#.##########...#.##.....##...####..##.##.####...#.......#.##.###.##.#.#.#.####.#..##.##....##......##......#.#
#.....###.###..#.######.#......##..#....#.#...##.###.#.########.#.#.#.#...#.#....#.#...#.##.#.#.#.#.#..###.##.#.#.##.#...#..##...#...##.#...#.#.###..#..##.##...#..........###....##..###.############.#
#####.#....###.#.#.#.#..##.#######.#.####.#.#.####.#...##.#.#.......#.###.#.####...###...#......#.#.#.##.#....##########.#.####.##.####.##.#######..##.##..###.##.#.#.######...#.####..##..##..##.##.#.#
####..###.##.#.#.#...#.##......##..#...##.#.###.#..###..#...###.###.#.#.#.#..#.##.##.###...######.#...##...##..#.#.##.......##......##...#....##.#.##...##..#..##.###...##.#.###...#######..##.##..#.#.#
#..##.#.#..#.#.#.###...#..##.#..##.#.###..#..##.#.##.#.##.#####.#.....#.....##.##..#..####...#.##.#.###..#######...#####.####..##.####.########.....##.##..##.##...####.......######....###.##.###.....#
##......##.....#.#.###.##.#######......##...##.....#.#.##..#..#######.#.#####...##.#.##.##.###..#....#..##..##.##.##.##...#...###.###.....#.##..###.##.###.#..##.#....###.#.#...#.##.####.###..#...#####
#..####..###.#.....##..##.#.#.##..##.###..########.#.#....##.##..##......#..##.##.....#.#....#.##.####.####.##..#.#..####.#.###.###...#####..##...####.#.#.#.###.####.###########.##..#.....##.###.....#
####..##.#########..##.#.......####....##..#.#.##..#.###.##...##.#####.#...##..#####.##.#.####..#..#.#...#..##.##.##..##.........##.#####...##..#####..............##......#.##......##.#####..###.#####
#.###......##...###.#..##.######.##.####..##.#..##.#.##..##.####.#..####.#####..##.#.##.#.#..#.##.##.#.###.###..#..##.##.#########....#.#.#####...#.#####.######.###..#.####..#.#.#####.#.#.##...#.....#
#..######.####.##.....##....#.##.#..#.##.##..#.##..#.##.##...##..##.#.#....##..###....#.#.#.##.....#.#...#.##..##.##..#..##......##.###.....##..###.##......#.####.######.##.####.#...#...#.####.#.#####
#.##.##.#..##...#####.##.####.##.##...##.#..##.###...##..#.#####.##...##.####.##.####...#.#.#..#####...###.#..###.###...##..#.####..#####.#####.###.####.####..........##.##..##....###.###.#.##.#...###
#....#....#####.......#...#.#.##.#..#.##.#.##...##.####.##.###...####..#.##.#.##..#####.#.....##..#..###.#...##....##.#....####....##.##....#.#.#.#..##..#....##########...##.###.###.#.#.#.#......###.#
####.##.#..#.######.#.###.#.#.##.#.#####....##.##..##...##...###..#.##.#.##.#..#.##..##.#.###.##.##.###..#.#####.####.######.#..####..#..####.#...##.###...####.#.#....###.##..##.#...........#.#.##...#
#....#####.#.#.#.####.#.....#.##.....##..##.#...##..###.##.###.##.#.##...##.#.##.###.#..#..##.##..#.#.##...##.##.......##.##...##.##.##.###...#.###..#.#.####.#.#...#.###...##.##...#####.#.########.###
####.#.##..#.#.#.#.#..#####...##.#####..#######.#..##...##.###.##.#.####.##....#..##.##.#.#####..##.#..#.###...#.#####.#..###.##........#.###.#.####.#.#..#.......#####.##.##..#..#.....#######..#.#...#
#.........##.....#.##.#.#.#.####.##..#.##..##.#.##..#.#.#..#.#.#..#.#.##.#####.#.##...#...#.##..##....##.#####.#.##.####.##......########.##..#...##.....##.##.##.#.###.##..##...##.#.####.##.##...#.###
#########.######........#.#..##...##.#.#..###...#..####.#.##...##.#......#.#.#....#.#.###......####.#......##.....#...#...##.###..##.#.#.....##.###..#.#.##.#######.#.#..##..##.########....#.##.###.#.#
########....###..######.#.##.##.####.....##.###...##.#.....##.##..######.....###.####.#...######.##.########..#####.###.####.#.####..#.##.####......##.#.#....##.#......##..###.##.#.#.#.####.....##...#
#......###.##.##.#............#..#.##.####..#.##.##..#####.##....##..######.##....##..#.#.#.#.##..#...#.#####.#.##..#.#.#.#.....#.##......######.##..########..#.#.########.##.....#.......##.#####..###
##.###.###.##..####.##.###.##...##....##.##.#.#..##.##.#.#..#.######.#.##.#..###.####.###.#.#..##.#.###....##.#..##.#.......##.##....######..##...#.####..####.#.#.##.#..##....###...#.###.......###.#.#
#####......##.###.#.##########.##..####...#...##.##.##.#.##...###.##.#.#..#.##.#.#.##.###.#.#.##....####.####...##....#######..#..##.###....##..###..#.##...##..........######...#.#.###.#.#######.#...#
#.#.######....#.#.###....###...###....##.##.####.#...#...####...#.##...##....#.#.#.##.#..........#.##....###..####.####..#.#####.#####...######.######..##.##..##.#.##.##..####.########.######..#.##.##
#.#.#...#####......#..####.###..##.##.##..#.##.....#.#.#.#..#.###..###..###.##...#.##.##.###.########.##.#.##..#........##..#.#...#.#..###.##.#.#.##...###.###.##########.##.##....###.#..#...##.#.##.##
#.....#...#.##.###.##..##..#.##.....#.##.##..#.#.#####.####.#..##.##.##.###..###.#.#...####....##.#.###.......##.#.##.#....##.###.#...####.#.......#.####....#.#.#.##.#.#.##....####.#.#.##.###..#.##..#
#########....#####..##.###......##.#####..##.###....##..##....###..#.#..#.##.........###..##.#.#.....#..###.####.######.####....#.#.###..#.###.###....#.###.##...#.##.#......#.###.......##...##....#.##
#.#.##.####.##...##....#.####.#.#####..#.###..#..##.#..#####.##.#.##.##....######.####.##.##.####.####.##.#####..##.#####..#.####.....##.#.#.#.#.######.#...##.###.#....#.#.####.#.##.##....######.##..#
#.........#.####..###.##.####.###.#.##.....##.##.#####.##.##.##.#.##..##.#####.##..##...#.#...##...#.#.##..##.##..#.#.##..##...#..##.##..#.#.#....##.##.#.###...##...#.####....#.#.########.#.##.#.##.##
######.##....#.##........#.....##.#.#..#####...#.#.##...#.##.##.#.##.##...##.#.##.#####.#...####.###.#.##.##..##.##....#.##..###.######.##.....####...#.#...##.###.#####.##.####.#.#.##.#####.##.#.##.##
############...#..##.###.##.##....#...##.#.###......###.#.#..##.......##.##..#.##...#.#...###.#....#...##..##.##.#..##....##.###..#.#.#..##.######..###.##.##......#.###..####........#.#..##.##.#.#...#
#.....##.....#...#####....#######...#....#.#.###.#.##...#...#######.###...##.#....###.###.#.#.#.####.###..###.##...####.####.#.#.##.#...###...#..#.##...#..##.####.....##....###.######.#.##...#.....#.#
###.######.#.##.##.....#.##.....#.########...###.######.###.##........###....###.####................####..#.....###..####.#.#.#.##...#.#...###.##.####.##.##....##.#####.####.#..#..##...##.#...##.##.#
#...#.#.####.##..#######..##.##.#....##.####.#.#.##.##...##..#####.####...##.#.#.#..####.#######.#####.###.#.###.....####....#....#.#####.#.#.......##..##....#####..##.#..##..##...##..#.##.###########
###.#.#..###.#####..###..##..#..#.####...#.#.#.#.....###....##...#.#..#####....#.#.##..#.......#...##..#.#.....###.#..#.##.###.####..#.####.#.########.####.###...####..##..##....#..#.#####..#.#..#.###
#.....##.#.###.#.##.#...#######....##..###.#.#.#.#####...##..###.#.#.###.###.#...#..##...##.#.########.#.##.###########.##...#.###..##..##.......#.##....##.....#.##.##.###..##.####...#.#.#.##.#.##.#.#
##.#####....##.#.##.#.#..##.#.##.#####..##.....#...#.###.#####...#.#..#...######...##..##########.#.##...#.......##.##...#.#.....#.##..##..#######....####..########.#..#.#.##...#.#####.#.#.#.........#
#...#..#.##.#.....#.###.##....#...#.###..#.###.#.###..#...##...#.#.#.##.###.#..##.####...#.#.#.#..#.#..###.#######...###.#.#######..#.##..##..##.#.####..##.#.##.#.....##.#.###.##..##.#.......#########
#.#...#####.###.#....#...####.##.##.#.#.##..####.#.##...#..#####.....##.##..##.#..#.##.###.#.#.#.##.#.###......###.#..#.....###..##.#..##.#..###...##.##..#...#....#####....#.#.#..##....########.####.#
###.#..##...######.#.###..##......#.#...##.##.#....###.###....######..#..#.##....##.#...#....#.#.##.#.#.##.###...####.#.###.....###.#.##....##.#.###...##.#.###.####.#####.##.#.#.##..##...#..#.#......#
#...##..###....#.###...##..######.#.###.#.....###.##.###.#.####.#.###.#.##.#..#####.#.###.####.#..#.#...##.###.######.....#.###.#...#.#..#.##.....##.####.#.#.#......#.#.#.##.#....#.#######.##.#.######
######.##.####.#.##..#####.#.........##.#.#####....#.##.....#.#.#.#.#.#.#..##..##.#.#..##.#..#.##.#.#.####.#.###.#.#..#############.#.#.##....###.##.##.........#.##.#.#.#.#....##....#.##...........###
#..##..##.........##.###.#.##.#.#.##..#.#..##.####....###.###.#.....#.#.#.##..###.#.#.##..#.##.##......#.#.#..##.#.##...##.#...##...#....#.##...###...##.#############.#.#.#.######.#......#.#.#.#.#...#
#.##..###########.##.#.#.#.##########.....##...#.#.####...#.#.###.#.......##.##...#....##.#.##.####.#.##.#...###.#.##.###....######.#.####.#########.##........#.#..##.#........#.###.##.#####.#.#######
#.#..##.##.................#.#.##.....######.###...#.#..###.#.#.#######.#..#..###.##.###..#.#...#.#.###....###.#.#.#......####.#.#..#....#...#.##.##....#.#.####...###...#.#.####.#####....#######..##.#
#.##.##.#######.#.#.##.#.#...#..#####.#...#....###...##.##..#.#..##.##..##.#.##...#....##.#.#.###.....#.####.#.#.#...#.#.##.##.#...##.########.##.#..#.####......#.#.###.###..........#.#.##.....##....#
#.##.##.#....###############...##.#...#.###.####.#.###...##...#.##..#####.....###...#####......####.###..#.#.#.....#######..##...####.#.#.####.##.##.###.###.##.####.#....###.##.#.#.######..#####..####
#.#..##.##.###.#.#.#.#..#.####.#..###...#.#.###....#####..###....##....###.#.##.##.###..###.##..##....##...#.#.###....#..##..##.##.............##.##.......########..#.##...#.#########..###.###.##....#
#.#.##..#..###.#.#...##........#.##.###.......####...#.#.#####.###..####.###.##..#.##..##....##..##.####.###.#..###.#.#.##..##..#..#.#.#.#.#.#.##.##.########..#.#..##.####.###.#.#.#.##..##.#......####
#....##.##.#.#.#.##.#####.####.#.##.#...#######....###......#..#.##...##..#...##.#.##.####.###..##..#.#........##.#####..##..##.#.############.##..#.#...##...##.##.#....#####......#..##......#######.#
##.#.......#.#.#....#.#######....##.##.####...###.##.######.##...##.#####.###.#....##..##....######.....######.....#.###..##.##.#.#.#.#.#.#.######.....###..###...#.#.####.#...##.###.###.####.....##..#
#######.##.....####.#.#..#..##.#....#.....###.##...#.#..##..##.###..#.##..#...####.##.###.####.##...###.....##.#.###..###.##.##................##..#.#####.#####.##.#...#....######....#....####.#.##.##
#........##.##...##.#.##.##.#######.##.#####...###...##.###..#.#.##.#.###.##.##.#.....##...#.#..##.########..######..##.#.##..#.###.########.###..####...#.##.#.......#...####.#..####.#.####.####.##..#
##.#.##########.##..#.##....#.#.##......##.##.##.##.##....##.#.#.##.#..##.##.##.##.######.##.#.##......########.#.##.##...##.##...#.......#####..##.####.#.##...###.#####.##.#...##.##.#.####.#.#####.##
##.#####...#..#.###...#####.#.#.#..####.##.#..#......#.#####.#...##.#.###.##....##.....##.#.....##.#####..##.#..#.##....####....###########.##..###..##..#.#..#####.##.##......####.........#.#...##...#
#..###.###.##.......###...........####.....#.##.######.##.#..#.###..#.#.#..####.##.##.##..#.#####...##.##......##.###.#..##..#####.#......#..##...##..##.....####.###...###.####.#..###.#####.#.######.#
####.#.##...#####.#.#.######.#.##.#..###.#.#.##..##.##..#.#.##...##.#...#.##....##..#####.#..#..#.####....####..#...###.####.#.......######.##..#..##.##.#####..#..##.#####..##..##.######.##.#.#.##.#.#
###.....###.#..####...##.#.###..####.....#....#.###.###.#.#..#.###..#.###..##.####.###.#....##.##..#.#.####.#####.#####..##..#.###.#..#.##..#..######.......##.##.##....#.####..###................#.#.#
#.##.##.......##.#..####.#.#######.########.#...##...##.#.##.#.#...##.##..##...##....#.#.####...##...#.#..#.#.###..##.#.####....#####....##.##...##.#.##.####.....##.####...###.#.#.#########.######.#.#
#.###########.##.##..#.....#.##.#..##.#.#.#.######.###..#.#..#.###.#...##.####.##.####...#..##.###.###.#.##.#.#.#.##..#.#..##.###.#.#######.#..####....####.#.#####...#.#.###.#.#.....###.#.####.##....#
#..##....###.....###.###.###.#..##.##........###.#...##.....##.##....####....#.#...#.###...##............#..#.#.#..##.#.#.##.........##.##..##..#.#.####..#.#.......#.............#####.#.#.##.#.#..##.#
#.######...#####.#...#....##.##.#...######.###.#.#.########.##..##.###..####.#.###....#..###..##.##.#.##...##.#...##..#.#.##.####.####...##.##.##.....###.#...#.######.#.############.#............#####
#..#.#.###..#.##.###.###.###.#..##.##...#..##..#.#.#.#.##.#.###.#......##......######.#.##.##..######.##.#......####.##....#.##.####.##.###.......#####.#.#.###.####.######.######......#.#.#.#.##..#..#
##.#.#.####.#.#...##..##.##..##.....###.##..##...#.#.#..#.#.#.#.##.##########.##..#.#......#..###.#...######.####.....#.####..............#.#####.#.###.#...#####.....#.#.#........###.########..##...##
#..#.#........##.####.#...##.######........##..###.#.##.#.#.#.#.##.#.#..#.#.#..##.#.#.######.##...##.##.#.##....####.##..#.#.##############.##.####...#.#.###.###.#####.#.#.#####.##..........##..######
#.##.######.#.....#.#.##.###..##....#.#.##..##..##.#.##...#...#.##.....##.....###.#..........##.#######.#..#.#####.#.##.##.#.##.....#............####...#...........##.......#.######.#.#####..##..###.#
#.....##..#######.....##.#.##..############.###..#.#.####.###.#..##.########.##.....########..#.#.#.#...#.####.##.....#.##....#.###.#.##.#####.###.##.###.#######.#....#.###.....#.####....###..##.....#
##.######.##.########.##.#..##.###.##..##.#..##.##.#..##..#...#.##...##..#.#..#####.#.....#####.....##.##.#.#.....###......##...#.###.##.#######.#.##..........####.#.##..##.#.#.....##.#.##.########.##
#.....##..............##.#.###.#.#..##......##...#.##..##.###....#.#####.....##.#.....#####.#...#.###...#...#####...#.#.#.###.#....#...###............#.#.##.#....#.#.#####..###.#.######.......#.###..#
#.#####..##########.#..#.#.#.....##.###.###..###.#.#..##..#.##.###..#.######.##.###.######..#.######..###.####.#..###.#.#...#.#.##...#####.##.####.#.##.#..#.##.#.###.....##...#.#.....##.##.##.....####
#...##..###.........##...#.#####.#....###...##.#.#.##.###.#..#..##.##......#.##...#.###..##.....##.#.##.#.#.#....############.########...#..#...##.#.#################.#####.#####.#.#.##..#.###.#######
#.#..##.#...###.########....####.##.#######.##.#...##..##.##.#.###..######.#..###.#.#.##.#..##.###...#......#.##.....#.#..##...........###.####..#.#...#.##.##.##...####...####.##############.####.#..#
#.#######.########.#.#.###.##..#.#....#.#......#.###..###.##...##..##.#....#.##.#.#.#.#....#####.#.###.######.###.##.....###.###.##.##..#...#########.##....#...###...#..####.............#.##.###....##
#..##..#####...#............##...##.###.######.#...##.##..#..#####..#.####.#.##.#.#.....##..#.##.#.##...#.###.#.#####.##...#.##..##..##...#.....#.#...##.####.###.#.###.##.#..#.#####.#.###.#..#.##.#..#
##..##..##.###.############.####.#...##.....#..##.##...##...###.#..##..##....##...#.#########.........#.............#####.####..########.##.#####.###.....#...##.....#.......##....######.#.##.#.##.##.#
###..#.##......#.#.#.#.......##..##.#######.##.#...#.###..#.##....##..######.####......##.#.##.##.#.#.##.#.##.#.#######.###.###.#...#.#...#.....#.#.#######.###..#####.#############.#.##.#.##.#.#...###
####....######.......##.#.##..##.#..#.##.........###.#...########..##.#.#.....##..#.##.##......######.##.#.#..#.......#...#..####.###.###########...###.#.#.#.##..###.............##.#.#..#........#..##
##...##.#....#####.#..#.####.##..##....#########.##..###...#.#.#..###.#.#.##.##..#######..###.##.#.#######.##.##.##.###.###.##.#....#.....###.#.##.##.#........#.##.##.########.####.#.#.##.###.##.##..#
#..#..######....#####...###...##..##.###.#..##.#.##.##...###.....##.#.#.###...##.##...##.##.####....##...############.#..##..#.#.####.#####.#....#......####.#................#####..#.......########.##
#.###..##..#.#.##.....###.##.####........##.##.#.##..###.#.####.###.#....###.##...###........#.#.#####.#..##.#.##..##...##..##.#.##.....##....##...####....#####.##.############..#.##.#######.#....#.##
#.#.##..##.#.#..#########.#...##..###.####...#.#.###..#.....#.#.##..#.####....#.#..#..########.#...#.#.####.......##..#..##..#.#.##.#####..##.########..##..##....#######...##.##.#.##..##.##....#.##..#
#.#.###..#.####..######.....#..####......###...#..###.#####.#.#..##....#.###.####.##.###.#.##....#......##..#.###.#..#####..##.#..#...#.####..#.#.##.############.........#............##.....##.#######
###.#.##...##.#.##....####.##.##..###.#.######...##.#..##.#...#.####.#...##...##.....#.#.#....######.####..########.##.#.##.##.#.##.###..##..##....#...##.###.####.##.#.#.#.######.#.#....#.###........#
###.#.###.##.....####.######...#.##.#.####.#.###..#.#.##..#.#....#.#####..###.##.#####.#...######.#####.##.#.#...##.##.#.##.............####..#.####.###..#.#....###############.###.#.##.#.####.###.#.#
#............###..##..#..##..#......#..##..#.#.#.##.#.#..######.##..#####.....##.##.##.#.####.....#.#.#..#...#.####..#...##.#######.#####.##.##.###....##.#.#.#####..#.#.#.#.......#.########..###.###.#
#####.#.#.#######.###.##.##.#######.#.####...#.#.#..#...#####.#.###..#.######.##.....#......##.####.#.#.##.###.#..##...###........#.......##........#####...........##.#.....#.########.#####.####.#####
#.....#####........#..#...#######........###.....##.###.#.#......##.##..##.##.##.###...######..#.##.#.#.#...##.#.#####...#.######.##.######..###.####..#..#.##.#.####....#.#.#...#.##.#.#.#............#
###.#.##....######.##.##.##..#....####.#####.#.#.....#..#.#.####.##.##.##..#......##.#....###.##.##.#.#.#.####....#.##.###.....########...##..#####.##.#.#####.#....##.###.#######.##.#...#.############
##################.##.#...##.###.###...##..#########.##.#.####...##..#..##.#.###.##########....#.#.........##..####.#..#.#.#####.##.##..###..##.#.#......#.#.#########...####..#.#..#.##.##...#.#.##.###
#.......##.#........#.##.##...####.###..##.##.#.###..#..#..##..#..#.##.##......###.##.#.#.#.####.#.#######..##.##.#.#.##..........#..##.....###.....####........##.##..###..#.##.#.##.......#......#...#
#######......######.#.##.###.##.#..###.##..##.#...##.##.#.#######.#..#.#..##.#####......#............#####.##...#.#......#.##.#####.##..#####...########.#########..##...##...........#.#.######.#.#.###
##.#.#..##.#.#...##...##.#.#.#..##.#....#.###.###.......#.##........##.#.#####...#.######.############...#####.##...##.#.#######.#...##.###.##.##......######.#..##.#..###..###########.#..#...#####...#
#......#######.#....#......#.##.#..####...#....##.##.##.#..#######.##..#...#####......##..........##.#.####.##....#########.##.#.#.###............##.#..........###.#.###..####..#.#.#####...########.##
########.#..######.##.#.##........##.####.###.##..#..#....##.##.#...##...###.##..########.######.##..#.#.#.....##................#.....#.##.###########.#.#.#####.#.....#.###.##.#......##.#...#.#.#...#
#.....##.##..##....########.#.###.##.#.#.......#########.###.##.###.##.####..###...#.##.#......#.#..##.....##################.##...##.##..#...........#.#.#.........#####.#.#.#....#############.#...###
#####.....##..######........###..........#.#.#..##..#..#.#.#.##.....##....##.#.#.###.#..#.#########....#.#.#........###...###.####..####.##.##.#.###.##.####.#.####.####........######.#.##.#......###.#
#########....##.#.####.##.#.##..#.####.#.#.####..##.##...#.#.######.#..####..#...#.#...##....##.##..######...##.#####...#...###.######.#########.#####.....#.#..##.......#.##.#...##.#.#.##.#.#######..#
#.........##...........####.##.##.#....#.####.##.....###...#.#.###..##.#..##.#.###...###..#.##...##.###.###.###.......###.####..........#.....##....###.#######..##.#.#######.#.#................###..##
###.#####.#..###.#.##.##.....###########.##......###.##..#...#.#.##.##.#.##........####..#####.####.....#.#...###.###...#....##.#####.#...#.#####.#...#..##..###..#.#.......######.##.####.#.##.##...###
######....##.#...#.#...#######...#.##.....##.#.#####..######...#.#...#......##.##.###.#.##.#........#.#...#.#.########.########.....####################....##.#.####.########...#..#....#.#.##.#..###.#
#..#.##########.######.#.....###......############.##.....####...###.#.####.#####............##########.#######.....########..#.#####......#..##.....#.######......##......#...####.#.##.#########..#..#
##.#.#####.######.##########.#.############.#.#.......###....###.#.#.....##.#.##..#.##.###.####......#####.#.##.#####.#.#....##.....##.#####.##..###....#######.#.####.#.#.#.#...####.#####.#.##.#.##.##
##.#.#.......#.....#.##......#.#.###..........#.###.#.##..##.##......#.#.##....##.#.##...#......######.##.........##....#.####..#####.....##....####.####...##..###.########.#####.####.##..#.#........#
#..#.#######.#####.#..######.....#.####.#####.###...#..####.....#.##.#.#..#.#.###.#.###.###.######.#.#..##.####.#....####..####.#.....##.##..##..#.####.#.########..#.##..#...#.##..##..###...#.#.######
##.............###.##.###....###......####.##.....#.#.##....#.#.#..###.######...#.###.....#....#.......##....#####.####.#.##.#....##.######.####....#......#.#.#.##.#..##.##.##..#.####..#..#.#.####..##
#..#.###.#.#.#.....##.#.############.###......##.##.#######.#.#.######....#######..##.#.#.#.##...#.#.#....#.##.##.....#........#######.###.....#.#.##.###.##.#.#.#..#.##......##.#...###...####....##..#
#.##.#...#########.##.#.#.###............##.#.##.#####.#....#.#.#......##.......####..#####..###.#.###.#######.########.######.....###.#.#.#########....####.....#.##....##.####...###.#.####...#####.##
#.##.######.#.##..............#.##.##.##.#..#..#.#.#.#.####.###.##.#.#####.##########....##.####.#..######.#.........##.###.####.#...............##..#.###.##.####....##.##......#..........##.###.....#
###..##.##.......#.##.#.####.##.##.#...#.##.#.##.#.....#......#.#..#....##...###....#.#.##.....####..###.....#.##.#.##..#.#....#########.#.#.#####..####.#......#..##..#######.#.###.#.##.#....#.##.####
##..##..#..##.##.#.########..##.##.##.##.#..#.##.#####...###.#####.##.######.....##########.#####.##...#.############..##.#.#######.#.######.......##.##.#.##.###.####.###.....#...#.#.##.#.##.........#
#..####...##..#..###.#.##...##..##.##.#####.#.####.....#.##..#.##..#..##.....#.#.......#.##.......##.#.......#########.##........#......#..######.###..#.#.#####.....#...#####.##.####.##.#.#..#.##.#.##
##.#..##.##..##.####....###.##.##..#...##...#.#....#.#.#.###....#####.##.##.#####.#.##....##.#.#.##..##.######.##.#.##.##.######.#.######.###...###.##.#.#.#.#.##.####.#.....#..#...##..######.###..#..#
#####....######.#....##.....##.##.###.#####.###.##.#.#.#..##.##..##.#.##.#...###..#..#.#.##..###..##..#........................#...####.#..#..#####.##.......#.##.##.####.##.#.###.####....##....#.##.##
#...##.#.#......###.#######..#..###.#.##......###########.##.##.##.....####.##.####.########..###..##.#.###.##########.####.#.##.#......#.##.##.#.#.#..#.#.###........#.#############.###.###.#######..#
###.#..#.#.#.########.......###..##.#..###.#.###..........##.##..###.#.##.........#......##..##.#.#####...#..........#...##############.......#.....#.######...#.#.#.##.###.....#.##...#####......##..##
#.....##.#.#.#........#.#.#...##.#..#.##.#####...#.#.##.#.##.###.###.#..#####.###.####.#####....#..#.#..######.#.#.#.#.#.......##.######.#.####.#####.##..#..###.#.###......###....##.##.....#.#.####..#
####.##..###.#.##.##.##.###.#######.####.##.####.########.##...###...#.##......##########.##.##.##...##......#.#.#####.##.######.......#.#.............##...######.....####...##.#....##.##.##.#....##.#
##....##########...###..#....##.##...#...........#........#..####..#.#.##.##.#............##.####..#.#..##.########.##..#........####.##.##.##.####.######.##...##.#.#######.##..##.#..##########.#.##.#
#..#.##.....#.#..######.##.#.#.....#...##.#.#.##.#.#.###.###....##.#.#..###..##.#.##.#.#.##.....#.##.##.##....#.#....##.##.###.#...##..#..############.#.#.##.###..#.......#..#.######..#.##...####.##.#
##.#..#####.#.#.##......#..#.########.##..########.#.#...##..#.###.#.######.##..############.####.##.##..##.#.....#.######...#.#.############.#................#######.#.####.###.#######..#.###.#####.#
####.##.#.......#..#.#.##.##.##........##.#........#.##.####.###...#.#.......##..##.#.#.#.##....#..#.#..##..##.#.##....#.##########.##..#.#.....#.###.#.#.#.####.##.#######.####..#.##..#.##.#.#...#.###
#....#....##.##.##.###.##.##.##.#.#.#.##..##.##.#.##..####.....#####.#.#.###.##.##.........##.###########..##..#..##.###.####.#.....##.##.##.####...###########..........#.......##..##..........#....##
####.#.#.##..####..##...#.#..##.#.#.#..##..###..#..####....#.#...##..######..##....##########......##...##..##.#.###............#.#.....#.......#####......##...###.#.####.########.###.##.#.#.#.##.#..#
#.#..#.#####....#####.###.##..###.###.##..###..#######..#.##.##.#######.#.#.####.#......#...#.##.#....#####..#.#.#.##.##.##.##.####.#.#...##.######.##.######.#######..#.#.#.#..#.#.##...###.#####..#.##
#...##.##....#.##......####..###..#...#..###..##.......##..#..#.#.#.........##...##.#.#.#.#.###..#.#.###.##.####....#.#...#.##.##...#.#####....##.........#.#.......##.........##.#..##.#######.#####..#
##.##...##.#.#..####.#...###.#.#.##.#.##...#######.#.#.##.##.##.#...#.#.##.#####..#.#.#...#..##.####.....##.#.#..#.#####.##.##..#####.....###.###.####.####.#.###########.##.###..#.##......##...#.#####
#..##.#..#.###.##....#.#..####...##.#.###.##.......###.##.####..#.#.######.#.###.##.#.##.########.#..#.#.##...#.##....##..###..#######.####.........##..................####.#...##.##.#######.###.#...#
##.##.#.####...#..##.#.#.##....#.##.###.######.###.##..##..###.##.#.#..........######.#......#....##.#.####.###..#.##..#.#####......##...##.#.#.#.#..##.####.###.##.#####..#####........#.###........#.#
####..#.##...#.##.#..###..##.#.#.#..##...#.#########..####...##########.##.#.#......#.#.#.##...####..#.#.....#####..#.##..#.###.######.###..#.#.####..#....#..####...##.##..#.##.####.###...##.#####.###
#.#..##..#####.#..##..##.#####.#########.#.#.###.....######.##...#.#.#####.#######.####.###..###########.#.#.....##.#..##....##......#...####.#...##.####.###...######...#.##.......#.....###......#####
#...####.#.....##.#..###..#.######.....#.........#.#.#.##....###.................#..##....##......#.#.#..#.#.#.####.######.###..###.##.###.##.#.######......#.#........#....#.####.###.####.#.####..##.#
###....#####.#.##.#.###..##........#.#...#.#.#.#.#.###..##.#...##.###.##.##.###.#####..#.##..######.#.####.#.#..#.#####.##...##...#..#...#.####.###.####.######.#.###.##.##.....####.#####.......##..#.#
#...#.##.....#..###...##.##.##.##.#####.######.#.#.####....#.#..####..##..###...#...#.##.###....#......###.####..........##.####.##.####...#.##.......##......###..##..#####.####.##.......#.##.######.#
#.#.#######.###..##.#.##.####...###.#.###.#.#..#.###..##.#.####.#....###.####.#...#####....##.#.#.######.#######.#.#.###.##..#.#.######..#....##.#######.#.######.####....##.........###.#.######..###.#
#.#####.##...###.#..######.#..#####...........##...##....#..########.#......#.#.#...####.#..#.#...........##.#.#.#.#######..##......##..##.#.##......##..#......###..##.#.##.#.#.#.#######......##.#.#.#
#.#.....#..#.#...#####.##....##.#.#####.##.##..##.######.##..####....#.#.#.####.#.#....#.##.#.##.###.##.#......#.#......######.##.#.##.##..#..###.#########.###...#.############.#.###...########......#
####.##...####.#.#........#.##.....#....#...##.####.......##..#.###.####.####...#.##.#####..#..#.#####..#.#.#.##.####.#..####..##.###..######..##........##...#####.#.##.##.#.##.#...#.###........#.#.##
###...##.##.##.#######.#.##.######...##.###.#.....###.##.####.....###.......##.##.##.....#####.#.....####.#.#..#...##.##....##.#..####..###...###.#########.#..#.##.#.##.......#.#.#.....##.#######.#..#
#.#.#.#..##....##......######.######.#...##########...#....###.#.##...#.#.####..#.##.###....##.##.#######.#.#.#######..##.###..##...###...###...#.......#.######..#......#.#####.####.#.##..#.##..#.##.#
#...####.#################.#.........##.##.##.####..#.##.#.#...######.#.#....#.##.##.##..##.####........#.###.......#.##...#####..#..##.###...#.##.##.#....####..##.############....#.#####......####..#
##.###...#...##.#.###.#......#.#.#.#..###...#......##..#.#.###.....####.####.#.##.##..##.##....#.#.#.#.##..##.#.#.#.#.####.#.####.#.##....##.####...###.##..#.##......#.###....#.#.#####.#..#.####.#####
#....#.#.#.#........#.#####.##.#.#.########...#.#.##..##.###...#.#.#.......#.#..#.#..##...########.###.######.#######.#.........#.#.###.###.....#.#...#.##.##.##.##.#....#..########.##....##..##......#
#.#.##.#.#.#.#.##.#....##.#.##########...####.###..##..#...###.#.#.#.##.#.#####.#.#.###.#........#..##...###..##.#.#####.#.##.###.###.....##.##.#.#.#.###........##.##.#...####.#.##.#..######....##.#.#
#.############.#..##.#.......##.#.##.###.#.#...##.##..###.##...#.#####..#.#.#######.#.###.#.###.###.##.#...##..#.#...##..#..#...#...###.###..##.#####...##.##.##.##..#.###.............####..##.###..###
#.##..#.#.#.#####..####.#.#.##.............##.##...##.#.#.####.#..##...##....#.#.##...##..#..##.##..##.###..##.....#..##.#.###.########.#.####.....##.#.#..##..#####.#...#.###.#.#.#.#......##...#######
#..##........##...##....#.#.#..##.#.##.#.#.....#.###....###.##.#.#####.##.#.##.#.####.###.##..#..##.##..#######.#####.####.##..#.####........###.#..###.##.###..####################.##.##########.....#
########.#.#....#######.#.#.##..########.##.#.##.#...#.####.##.#..##...##.#.#.......#...#.#..######..##.....##...##.###.######......##.#.#.#####.######.##...##..##..####.#.......##.##......#.###.#####
#........#.##.###....##.###.#..###.##.#..#..#.##.#.#.#.......###.##..#.##.#...#.#####.#.####......####..#.###..#.....#.....##..#.#.##..#.#.....#......#.#..#..##..#.##......############.###...........#
#####.##.###########......#.####........###.#.######.#.###.###...##.##.#..#.###...#####.##.##.#####..####..#####.#.#...#.#..##.#.#.########.####.#########.######......####......#.###.#...###.#.#.##.##
#.....##...#.##.#.#####.#.#######.#.#.#.#...#..##....#..##...##.##..####.##...#.#.#.###....##...#.##....##....####.#.###.#.#####.#..#.#.#....#########.##.....#.####.#....########.#.#.#####...#.###...#
#####..#####............#.#.....###########.##..##.#.#.##..#.##.###.#.....###.###.....#.#.##..#....#.######.#...####..##.#.....####.....##.#............##.##....##..##.#......##....#.....###.#.#######
#...####.....#.###.####.######.###.#.######.##.#######..##.###....###.##.##...##..#.#####..##.#.##......##..#.#...##.###.#.#.###....##.##..##.##.##.###..#.#####.##.##..#.##.#.##.####.#.#######.......#
###..#.###.#.###.#.##...##.....##.....#.#....#.##......##..##..#.###..#...##.####.#.##.########..#.#.######.#.#.###....#.###..####.##..###.##.##.##..#####....##.##..##.#..#.#......#..#..##.####.#.##.#
####.#.#.###.##....####.######.######.#...#.##..#####.###.###.#####..###.##..#.##.#........##...##.#...##...#.#...#.#.##..#####.######...#..#..#.#..##.##################.#####.#.#...###.......#.#.##.#
#............###.#.#....#.......#.......#.#..#####......#.#.......##.#....##...##.#.#.####..##.##..#.#..#.#.#.#.#########.........##.#.####.##.#.##..................#.##...#########.#.#.#.##.####.##.#
####.##.#.#.##...#.##.###.#.###...###.#.###.####...#.##.#.#.#.###.#..##.#.##.###..###...########..#######.#.#.####.##..##.#.#.#.#.##......#.##.#####.##.#.#.#.#.##.###..#.#..#.#.#.##...######.#.#######
##...#..###.#..#.####.##..###...###...#.#...#....#.#.##.###.#####.##.#..###....#.###..#........##.#.#..######..#.#..##.####.#.#.###..#.######.....##..###.#####..#.....#####.......####...###......##.##
#..#.##..##.##.#.##...######..#####.#.#.######.#.###..#.##......#.##.##.#...####...####.#####.###.....##..##..##.##.......#.###.##..##...#.########..##.......####.#####.#.###.###....#.#...#.#.##..#..#
#.##..##.##..##########.##.##..##...#.###......#####.#####.#.#.##.#..######....#.#.##.....###.##..###....##..##.....#####.#.##...#####.#....#.....##.#..#.#.###.............#####..#.##############...##
#.#####..##.##................##..###.#####.##.##......#.#.#.####.##.#......#.######..#.#...#.###...##.#####....#.#..##########.##.....#.####.#####..#.##.#..####.##.##.#.###.#.##.###.#.#.#####.#######
#...####.#...##.#.##########.###.##...#......#..###.##...#.#.##.###..#.####.#......##.#.#.#####.##.##....##..####.##.....#.####..###.###..###....###.#.##.##..#.###..####........####.......#.#..#.##.##
#.###....############........##..##.#.#.##.#.####...####.###......######....#.#.#.##..#.#.##....##..##.#####..#####..#.#....##..####...##.....####.#####...#.##...##....#.##.#.####.#.#.#.#.....##.....#
###...##.....##.......#.##.#..##.#########.#.###..#....#...####.###.#.#####.###.#####.#.#..#.#.##..###....###.....#.##.##.#..#####...####.##.####...#..###.#....#.##.####..#.#........###.#.#.#....##.##
####.####.#.##..#.##########.##..#.#.#.##..#.#.####.##.##.##.....##..........##.##.#..#.#.##.#####...#.####.##.#.####...#.##.....###.##....#..#...#...##...#.#.##.##....#.##.#.#.#.#.######.###.#.######
#.....##..#..#######.........##.##........##.#..#....#..####.#.#####.#.#.##.###....####.#.....##...#.#.......###....#########.#.###...##.#.#.##.####.#####.#.#.##.##.#########.#.###.....##...#.#......#
#.#.#..##.#.####.#.#.#.#.#.#..####.#.#.#.##..##...#.##.###.###.#########.#....####.##...##.#######.###.##.#.###..##...##.#.##.#...#.#..###.#.......####.#..###.#########.##..#.###...#.##########.#.##.#
#.#.####..#.#......#.#.#.#.#.####..#.#.#####.###.##.##.....##....##...#..##.#....#..##.###...##..####...#.#...##..#####.....####.##.##...###.#.###..#.#.#.####......##.#.#..##..###.##..........###..###
#.#.#....#########...###.#####....##.#.#.....#...##.#..#######.#.##.#...##..#.#.##.##..#...#..##....#.#.#.###..##.......######.#########...###.####.....####...###.###.....##..##....#.#.#.###.#####...#
#.#.##.#..##....####...#####...#.###.#.##.#.##.#.#..##.......#.#..####.####.#####...####.#.##....##.#.#.#...####..#.###.........#..##....#.##.....####.##....#...#.#.#.#####..####.#############..##.#.#
#.#.####.######......#.#.....#.#.##..#.####.##.####..##.######.#.###.#.##......##.###....#..##.#..#.#.#.#.#######.#...#.##.#.####.#####.######.##....#..#.#.##.#.#.........#.###.#....#..###...##..###.#
#.#.#....##.....##.#.###.###.#.#..##.#.#....######..##.......#.#.##.....##.#.#.##...##.#.#####.#.##.#.#.#......#####.####..#...##.#.##...##.##.##.#.###.###.##.####.##.#.#####.#.######.##.#.####.######
#.#####.####.#######...###...###.###.####.#.#....##..##.#.###########.#.##.###.##.###..#.....#.#..#.#.#.##.#####.#.###.###.#.#.......##.##..##..#.#..##.##..##...##..#.#.............#...#.............#
#.##.##..##..#.......#.#...#..##.#...##.###.####....##..#...#.#.#.....#.##..##..#...##.#.##.####.##.#.###................#.#.#.#.#.####....##..####.###.###.##.###..######.##.######...#...#.#.#.#######
###.....###.###.#.#.####.#.##.####.#.#...####....#.####.#.#.....#.###.#.##.##..##.######.#..#.##.##.####..#.##.##.#.#.#.##.#.#.#.#....##.#..##...####.....#.##.####......###.......#.#.##.####.#.......#
#...#.#...###.#.#.#..##..###...##..###.#..####.#.#.####.#.#.#.#.#.#...#.##..#####.##...####...####.....##.#.##..###.########.#.#.#.#.##..##..#.#...###.#.####.....#.#.##...###.###.#.####....#.##.##.#.#
##.####.#.##....#.#.##..##...#.#..####.##......#.#..##..#.###.###.#####.###..##.#....#....###....##.####..#####..##......###.#.#.#.#..######.#.##.##.###.#.#..#.#####..#.####..###.#..##..#######.######
#..#....#.#####.###..##.###.#####.#....####.####.#.##..##.##....#.#.......##....#.#.##.####...####.....##.....##..##.#.#...###.#.####.....##.###.......#.#.##.#...##..##....##...####..##.....##..#.#.##
##.#.#.##..##...##..##..#....##...##.#.#.....##..#..##.##..#.##.#.#.##.##.##.##.#.#..#..##..#....#.#.#..#.##.##..##..#.#.#...#.#....##.#.##....##.#.#.##...##.#.#.##.##..#.##..#....##..##.#.####......#
######################################################################################################################################################################################################E#

#S########################################################################################################################################################################################################################################################
#..##.#.#.#.##...#.#.#...#.##.#.#.##...#......##..##..#..##.#.#.#.#..#.#..#.##.#.##....#.#..##.##.....#.#.#.....##.#.##.#...#.##.#.....##.##.#.............##.......#.#..............#.##.#.##...#.#.#.##...##..##..#.#........#.#..#.#.#.........##.#.#.#
##.#.........###.#.#.##.##..#.#.#..###...########..##...##..#.#.#.#.##.##.#..#....#.#.##.#.##..###.####.#.####.##....##...###.##.#.######....##.#####.#.##..##.######...##.#.######.##.#.....###.....#..###.#..##..##.#.####.#...##.#.....#######.#....#.#
#....##.####.##..#.#..#.##.##.#.#.##.##.####..#.##..#.#####.....#...##......##.######.##.#.#..##......#.#.#.##.#..#.###.###.#.##.#....#.#.####......#.########.....#..#..############..#.######..#.###.###..#.####..#.#.#######.##....###.......###.####.#
#.#.######.#..##...##.#..#.#....#.##.....#.##...#..##..##.###.#...#######.#..#..#.##..##.#.##.####.####.....##.#.#####..###.#.#....####....#.#.########..###.#.###...###............##....#.##..####.....##.#.##.#.##.......#.#..#.##..######.####...#.#.#
######.##....#####.##...##.####.#..#####...####.#.##..##....####.###########.#.##..##.##...##..###.##...#####..#.....##.#.#...####..#.#.####...#..##.###.#.......#.###.#########.#.####.###.##.##.##.###.##.#.##......#.#.###.#######.##.##.###..###.....#
#..#.#..####.##.#...###..#.#....#.##.....###.#....##.#####.###......##...#.#.#.##.##...##.##..##.#..###...#.##.#.######.#.#.###....##.#....##.##.##........###.#.#.........##..###..#.#..##.....#.####.#.#.....##.##.##.#.....###.##..#.......##..#..#####
##...##.#.....#.###...#.##.####.#..#####...#.##.###...##.....###.##..###.#.#.#.##..##.##..###..#.##.....###.#.......##..#...#.####.##.#.####..#.....######..##.###.#.#.#.#....#######.##....#.#.....##.#.##.#####..#..######.##....##.#.###.#####.##...###
####......#.#.......#.#..#.#.#....##.....###.##...##.######.##....####.#.#.#...##.##..##.##.##.#.##.######..#.##.######.#.###...##.##.#..#.##...#####...#####....##########.###..##......#######.#####.#..#..##.#.######.########.##....#####.#.#....###.#
#.#####.######.######.#.##...#.##.###.##..##..#.###..##.###.###.###..#.......####.##.###..#.##.#.#..#.#..##....#..#.##......##.##...#.##.#....#..#####.##.#.##.####..##..#######..##.###..#.##.###.##..##.#.###.#.#.#.#.....##..#..#.####.##..#.####...#.#
#...#####..#.###......#..###....#...#####..#.##...##.##.#...#.#...##.#######...#..##.#.##.#.##.#...##.#.####.######.###.#.####..###...#....##.####..##.##.#.#####...###.##.##.##.#####.##.......##..##.#..#...........#.#######...##...#...##.#.##...###.#
###.#.####...########.#.######.##.###.....##..#.###..##.###.#.#.###...###.##.#.#.##..#.#..#..#.###.##.#.#.##...####..#..###.#..##.#.###.##.##.##.#.##...........#.####...#..#.##..#.#.....#.#####..###.##...####.#.####....##.###..##.##.###.....###.##..#
#...#.#..##.##..##.......#.##...#########.#..##.##..##......#....###.##......###.##.##.##.#.##..##..#......#.###..##.##..##.#.##.........#.#..........####.######.##.###...##.#..##.##.#######.###..#...#.#####..#.##.#.####....##.......#.#.######.....##
###.#.##.#...##..####.##.#.###.####.#.....##..#.#..########.#.####....###.##..##.#...#.#..#..#.####.###.####...#.##...#.##....####.####.######.##.#.#.#######.##.....#.###.##.#.##...#.#.#.##..#.##.###.......#.##.##.#.##.###.####.##.#.#.#....#.##.#####
#.#.#.##...#..##....####.....#.#..#.#####..##.#.#.##.##.##..#..####.###.#####.##...#.#.#.##.##.##.#.#.#...#..#.#..###....##.###..#....###.####..#.###....##......###...##...#....##.##.#......##.##.##..#.###########..........#.##.######...#.##.....#..#
#.#.#.######.####.###....#.#.....##.##....##......##.#...##.##.#.#...#...#.#..###.##.........#.#..#.#.#.###.####.##.##.####...##...##.###..#.#######..##..#.##.#..#########.#.####...#.#.####.##....#..####....#..##..#.#.######.#..#.#.#..###.######.#.##
#.....#.#.#...##..#.##.#.#.#####.....####.###.######.###.#..#....#.###.###...##.#.######.##.##.##.....#.#.#.#.##.#..##..#...#####.#####.##.....##..########.#######.##.##.......####.#......#..####.##..###.####.##..#######..##.#.##.#.##.#.###.##......#
####.##...###..##.#..#.#####..####.###.#..#.#....##..##..##...##.#..##...##.##..#.#...#..####...#####.......#..#.##..##.#.####..#....##....#######.#...........##.#.##..###.#####......#.#.######....##...#..#.#.#..##.###.#.##....##.#.......##.##.#.####
###...###..##.###.#.#####....##..#.#.#.##.#.#.######.##.########.#.###.###..##.##.#.#...##.##.###.....#######.##.#..###.#..#.##.#.#####.##...#.##..#.###########.....#.##.#..##...###.######.##.####.##.###.##.#...##...#..#.###.#..#.#.#####..#.####....#
#.###.#.#.###.##..#...#.####.###.#.....#......#.#.##.#....##...#.#.##..##..##...###.###.##..#.#.#####...#.##...#.#.###..#.##.......###..######..##.#......####.#.#####......##..#######..###..#.##...##..........#..##.##.##..####.##......###...#.##.####
#.#...#.#.##...##...###.##.#.#.#.#####...##.###.#.##...#######.#....##..##.####..####.#.##.##.#.##..#.###.#..###.#.#.##...#####.####.##...#..##.##.#.######..#.....######.#####.........##.#.##..###....#####.#.###.##.#...#.##.#.....##.#..######.#.....#
#.#.#........####.#............#.#...###.#####..#..##.###.#.#..####.##.##....###..##..#..#..#.#..##...#.#.##..##.#.#..#.###..#...##...#.###.##..#..#..#.#.##.#.#.###.#.#...####.#########....##.##.###.###.####..####..#.###..#.#.###..#.##...#.##...#.###
#.####.#.#.#..#.###.###.####.#.....#.......#.##...###.#.#.....###.#.##.###.###.##.###.##.#.##.#.#####.#.#.#..###.#.##.#.#.##.##.##..###......##.#.##.##...##.#.#####.#.###..##....#.#.#.#.####..##..#.........####.#..##..##.##.#...#.#########..#.#####.#
#.##.#######.##..####...#.#..###.#.#.####.##.###.##...#.####.##.#.#.##..##.#.#.#..#.#..#.#.#.....##.#...#.##.#.#.#.##...#.##.#...#.##.#.######..#.......#..#.#.###.#.#.##..##..####.#.#.#....##..##.#.#########....##..##.##.##...###...#.##..##.#.##.#..#
#....###..#...#.##.#..###.######.###.##.#.##..##..#.###..##..#..#.#.##.##..#.#.##.#.##.....#.#####..#.###.##...#.#..#.###..#.###.#.......###.##.#.##########.#...#.#.#..##.###...#..#.#...####..##............##.####.###.##..#.#.#######.###..#.#......##
####.#.##.#.###.##.#####..#.##.#######....###..##.#.#.##..##.##.#...##..##.#...#..#.######....##.##....##.###.##.##...#.##...##....##.##.#..........##...###...###.....##..#.#.###.##.#.###..##..##.###.#.#####...##..##..###.#.###.###...#.##.#.#.#######
#.#..........##.##..##.##.#.##..##..#####.#.#.##.......##.#..#..#.#####.#..###.##.#..##.##.##.##..###.##...#.....###.##..#.###..#.#########.##.#.#####.#.#.#.###.#.###..##.#.#.#.#.#......#.##..##..#####...#.#.#####..##..#............###.#..#.#..##.#.#
#.###.######..#.###.##....#.#..##..##..........##.#######.##.##.#.##.##.##.##...#...###.##..#..##...#..#.#.#.#####....##.#.#.##.###..#..##..######.#.#.###.#..##....#####......#.....###.##..##..##....##.###.#.#.##..####.#.###.########.#.##.....###.#.#
#...########.##...#.#####.....####.########.####....#.##..##.#....##....#...###...###.#.##.########.#.####.#.....####..#.#.......#..##.####...#.##......#....###.##...########.#.#####.#####..##..##.#..#.##..#.#....##.##.#.#.###.##..##.#.#..#####.#.#.#
###.##.......##.###..#..#####..##...##.........#.#.##..##.#..####.#####.##.##.##.##.#......#.##..#.....##....#.###....##...#.#.#.#.##...##..###.#..##.###.####.#..#####.##..#.....###...##...##..###.#######.##.###.##.....#....#...##..#.#.##..##.#.....#
#.#..####.##..#..###.##.......#####..#.#.####.####..##..#.#.####...###..##.##.......###.####..##.###.#####.###...####.###.####.#.#..#.###..##.#.#.##.........#...##......##.#####.....######.##.##....##.##......##.##.#####.####.###..##......##..#.#####
#.#.##..#####.##...#.###.####.......#######....##..####.#.#.##.###...##.##..###.#######..###.##..##....##....#.#.###...##.#.#######.#.#.##........##.#########.######.####..#.#...#.#...##......##.####...#.#######.......##..#.#..#..#####.######.....###
#.#.###..#..#..##.##.#.#.##...####.##.#.#.####..##..##..#.#.##.##..#..#.##.##...#.##..#.##.#..##.###.###..########.##.##.....##.#.#...#.##.######..####..........##.#..#.##...#.#############.###.......###.##..#.####.#####.##...##.##..##.##..#..#.#...#
#.#.#.##.##...##..#....######.#.............###.##.####...#.....#####.#.##.###.##..##.#....#.##.......##.####.#.#...#..##.#####.....#.#....#######..#.#.###########.#.##..###.#.####.###..###..###.###.##.#.##.##..###..##.#.##.###.....##..#..##.########
#.#...#..#..#..##...##.##.#.#######.#.#####.#.......##..#.##.####.##..#.##..##..##....##.###..####.#.###......#.###.##.##.###.####.##.#.####.....##.....#..##.##.#....##.##...#.#.#....##.#...##...#.####....#.##.##.##.#.....#.#.#.##.####...##..#.#.#..#
#.###.##.####.####.#####....##.########.....###.###..#.##.#...##...##.#..##.##.##..####..#.#.##.####.#.##.#####.##..##......#.##.#..###.#.#..###..#######.##..#..##.####..###.#.....#.##..###.####....##..####.##..#.##...###........###..###.###.#.#.#.##
#..##.#..###...#......##.##.##.....#..###.#...#.#.#.####..##.#####..#.#.##..##..#.####..##.#.##.#.#..#..#.##....###.#..#.##...##.#.###......##.########....##.#.###.##...##...#.#####.#..##....###.#####.###...##.##.#..#.####.#####..#..##.#..#.........#
##.#..##.#.#.#...##.#.##.#..######.#.##.#####.###.#.#.#..##...##...##.#.###..##.#.##...##..#..#...##.#.##.##.####.#.#.######.##..#.....##.###...##....####.##.#.#.#.###.#####.#.##.####.#####.##....#.#....#.#.##..#.##.###..###...####.##..#.##.#####.#.#
#....##....#.###.##########..#.#.#.#.##.##.#..##....#.#.####.#####.#....#.#.##.....###.###.#.##.####...##.##.##.#.#.......######.#.#########..####.##.#..#..#.#......##.#.##.......#.#...##....####...#.##...#####...##...##...##.##.....##.#.......##.#.#
#.##....##.####....#.####.##.#.......##.#..##....##...#.#.#....##..##.###...###.####...#.#.#..#..##..###...#..#.#.#.#.#.#.#.............##.##.##.#.#####.#.##.#.#######.#.###.####.....#..####....##.##..#.#..##.#.#####.##..###...##.####....#.########.#
#.###.#.#...#.#.####..##..#..#######.##...###.#.##..#...#.###.##..##...####.#.#....###.......##.####...###.#.##.#.#.#########.#.#.##.#####.##........##..#..#.#.....#.#.#.#......##.#######....##.#..##.#######......#.#....##.##.###.#.###.###...#..#####
#..########.#.#...##.####.##...#......##.##.###########.#.#.#.###.###.##.##.#.#.####.#.#.##.###.#.##.###......#.#.....##.##.#####.####.#.#.###.#########.#.##.#.#####.......##.######..##.##.#######..#.#.###.#####.##.#.#####..#............######.##.###
####.#.#.#....#.####..##...###.######.#...#...###.##..........#.#..#...#.#....#........######.........######.##.#.##.##..##..#.#..#.##.#.#...#.......##.....#.#.##.#..#####..#...#.#..##.....#####.##......#...##.#.......##.##.#.#.#.#.#.##.....##.##...#
#........####.#.#..##.###.##............###.###....#.##.###.#...##.#.###.####...#.#.##...#..###.###.#..##.##.##.#.####..####.#...##..#.#.#.###.#.#.#####.#.##.#.#....#######.#####.#.#######.#.##.....#.####.####.#.###.#.##.##...#.###############.#..###
########.##.......##...##.#..#.########.#.#...####.############.#..#.###...##.#.###.##.###.##.#..#######...#.##.#...#..##.#..###.###.#.#.#.###.###..#.####.#..#...####.....####.##.#.##.#.##.#..##.####.##...##.#.#.########.##.######.#.#.##..#.#..#.####
#....#.#..##.####..##.##..##.######.......#.###.##..##....###.#.##.#.#.###.#..#######...##.#....##.....###.#.##.#.###.###.##.##...#........#.#..###....##....##.###....#####..#.##.#..#...##...##.....######.##........#.##..##....##..#.#..##.#.#.##....#
####.....######.##.#...#.#####....###.##.##.##..##.######.#.#.#.#.......##.#.###...#######.##.###..######....##.#.###.....##.####...######.....##...########..#.#.#.######.##.#.##.#.##.#####.###.#######.##.#..#.#.#.##.#..##..######.#.#.###.#.#.##.####
#..#####..#.#.#.##.###.......####.#.####.##.###....##.#.........######.##........###.##.#......#..##..##..##.#......#.#####..#.##.###....##.#.#######.#..####..........#.#.##....#.#.#....##..##..#.#.#.#.#....#########.##.###...#.#...................##
#.##.#.##.#...#.#...##.##########.#.##.#.##.#.###.##..#######.###.###.....#.##.#.###.##.##.#####.####.##.##..##.#####..##.##.#.#......#.########.#.#..#.##.#..##########...##.####.#...######..##.....#.#.###.###..#.#.#..#.#.#.###.#.###########.##.##..#
#.#.......###...##.##...##..##............#.#.##...#.##.#.#.#..##.#.####.#####.###.#..#.##...##..#.#..##..#####...#.##.#..##.#.#.##.#.###.#####..#.##...##.##.....##.##..#.....#.#...####.#...###.#####.#.##..#.##.#.#.#.##......##...#.#.#...###.##.##.##
#.##.#.##.#####.....###..#.#######.##.###.#.#.###.##.#..#.#.##.##.#.##.#.#.#.#####...##..###.###.#.#.##..##.##..###..#.##.##......######..#.#.##......#.##.#..#.#.#..##.########.#.####.#.###.##...##.#.#..##...#..#.#.#.#..##.#..###.#.#...###.####.##..#
#..######.#...###.###.##.....##.#######...#....##.##.##.#...##.##.#.#..#......##.###..#.####.#.#.#...###.....##...##.#.#..#..##.#...##.#.##.#.##.########....######.###.#.#...##....#.#.#.##...#.####...##.##.###.##.#.#.#.######..##.....####...#.#######
##..#.#.....###.#.#.#.##.#.###..#.##..###.####.##..#.##.#.#....##...##...######..##..##.##.........#.#.###.####.####.#.##...##..###.#....#..#.##.#.#...##.####.#.#...#......###..##...#.#..##.##.##.##.##..##..#..#.............####..##.###.#.###.##....#
###...####.##.....#...##.######....#.##.#.##....##.#.##.####.#..#.###..###.#.##.##..##..#####.###.####.###......##...#.##.###..#######.###.##.#......####.#.##...##.##.###.##.##..#.###...##..#..##.....##.##.##.##.######.#.####....#####......#...##.###
#.###.##.#.#..#.#...###..###..####.#..#.#.####.##..#....#######....###.##....##.##.##..##.#.#.#.###.##.#.#.#########...##...#####..##...##.##.#.######.#.......####.#....####..#.#####..#####.#.##..###.#..##..#.#...#..##.###..####.#.....####...####.###
#..##.#....#######.##.#.##.#.##.##.##.......#...##.####.#.#.#.##.#...#.##.#####.##..##.##.....#.##..##.#....#..#.#.##.###.#..##.#.##..####.#......##.#...#####....#...####..#.##.#.#.##..#.##....##.#.####.##.##...###.#######.##.##.#.##########..#.#...#
##.#....##...#.##.......##...#...#.####.###.###.#....##.#.#...######.#.##.#.#.#.##.###.######......##....##.#.##...##.#.#.####.....##..##....#.##......#.....#.##...#....##.#.#....#..##.#.###.###..#..#.#.......###.#..#.#..#..#.#............#####...###
#....####..###..###.######.#.###....#.####..###.#.#####.#.##.##.............#.#.##......##..##.#.######.#####.####......#..##..##.###.###.#######.#.#.########.###########......#.##.##.....##...##.##.....###.#.......##.#.##.##...#.###.######.#.#.###.#
###.######..###.#....#.#.###.###.##.#.##...##.#....##.#....#..#####.##.######.#.#..########.##.#####....#.##...#.##.###...####..###.#.#.#.#.#.#.#######.###.####.#.#.#.##..########...##.#######.......###..##.###.###............#.#...#................#
######..###.....####...#.##....####.#..###.#....#####.##.#.#.##.#.###...#.#.#.....###.###...##.....#.##.#.##.###.....####....##..##...............##.##.#....##.........##..###.####.##..#.##....###.#...#.##....#...#.####.####.##.#.#.#.#.###.##.#.#.#.#
#.##.#.##...###.##.##.##..##.####.#.#.##.#.###.###....####.........###.##.#.#.##.##.#...##.##..#######....##...#####.#.#######..######.############..##.#.#####.#########..##...#.##..##.#..##.########.##.#####.#.###....####...####.#.#.#...######.#.###
#......####.#......##..#.###.#.#..#................####....######.##...##.#....#.##...###...##.....##..####..####.......##.#.##.##.##.........#.#.#.##..#..##.#..###.##.##.##.###.#..###.#.##.........#..#.....#.#...#.#.###.###..#######.#.#......#.#.###
####.#...#########.#..##.#...#.##.############.#.#....###.##......####..#.#.#######.#...###.#..#.#####.#####....##.#.#.###.#.##..#.#..#########...#..##.#.##..#.##.#..#.##.##.....#.##......#.##.#.####.##.#.#.###.#####.......##.......#.###.###.####...#
#....###.#.#.##.##.##..#.###.#..#...###.##.#.#.######.#.#########..#.##.#.#...#.#.####.##.....####.##..#..##.#######.###.#.#.##.##...####...#.##.##.##..#..##.#......##.##.#..#####..#####.##..###.##.#.######..##...########.##..##.######....####.##.#.#
######........#.#.....##.#.#.##.###.#...#..........####.##......##.#.#......#.#....#.#.######.#.##..##.#.##.....#.#...##.....##..###......###..#.#...##...##....###.###..#.#.##.#...##.##.....######..#.#..####.##.#......#####..##..#...#####.......#.#.#
#...#########...#####.##.#.#.##.#...###.#####.#.#.##.#..#######.#....#.#.##.###.####.#...##.#....#.##..#..##.####.##.##..#.#####.....####..##.##...###..#..####...###.##........#.###...#.##.##...#..####.##.#######.##.#....##.####...#...##..#.#####.###
#.#.#.#.......#.####..##.#.#.#..##.###..#.##..######...##.#.#.#.####.###.#...##.#.##.#.####.#.####..##.##......##.#.....####.####.###########..#.####..#####....#..##.##.##.#####.#.###.#.#####.###.##.##.##.#.##.###############.######.####.##.....#...#
#.###.##.##.###....##....#.#.##.#....##.#..##.###....#.##.#.#...#.....######.##....#...#.#.....#.##.##.##.####.#....#####.##..#.#..#.#...###..##.##.##.#.#.###.###..#.##.####.#.#.#.#.#.#.#.##....#.#..##.#..........#..#####.##......#####.#######.###.##
#..#...#######..#######.##.#.#..##.#.##...##..#.####.#.#....###.###.###.#.....##.###.###.##.####.#..##.#....#####.#.......##.##...##...###.##.....#.##.#.#.#.#...##.#.#..#.##.#.#.#.#..........##.....##....#####.####.##........##.###.#.#..#....#..##..#
##...#.##..#.##..#.#.##.##.#.##.##.######..##....#.#.####.#####.#...#.#.##.#.##..#.#.##..##..#...##.##.#.##...#.###.####.##..####.##.###.#.##.###..............######.#.##..#.#.......##.#.######.#.####.#####..####......##.######.....#.##...###########
###.######......##....#.##....#.##..##..##.#..##.#.#..##...##...###.#.#..#.#..##.....##.##..##.####.##...######..#....######...##......#.#.#...##.##.##.#.#.##.....##....#.##.#.#####.##.####.#.######.......##.##.#.###.##.......##.#.##.##.#####..#.####
#.....##.######.#####.#.#####....##..#.##..##..###...####.#####..#..#.#.####.###.#####.....##...##..##.###....##.#.####.##.###.##.######.....#.################.#.##..##...##.......########....##.#.#.#######...#.....######.#.#..#.#.##........#.##....#
###.#.#.....#....#..#....##.##.#.###....##.##.####.#..##...##.##.#.##...#.#...#...##.##.#####.###..##...#..####....#.#..##.##...#.##..##.#.###.#.#..#.##.....########.#######.####.####.##.#.####...........#..###.#######.######.##.###..########.###.###
#.###.#####.####.##.###.##...###.#.####.......#..#.##.###.##.....#....###.###...####.#..#.#.#..##.#####...###.####.....###..###......##..###.###.#.##.##.#####.#.#.#.....##....#.####.#......##.##.#####.##...####.....#.#.#.#.##########.##.#..##.#....##
#.....#.###.#..#.##.#....#.#..#....##########.#.####...##..#####.#.#####......###....#.##...##......#.#.###.#.#.####.###.##...##.#######..#...#..#.##..#..#.##.......#####..####..#.#.#.######.......########....#.#####.....#.#.#.##...#.#....##....##..#
#.###...#...##...##.###.#####.##.###.....##...#..##..###..##...........####.#..####.##.#..###..##.###.#.###...#.#.#..###.###.##...###.##.##.###.##.#..##.##.##.#####...#...###.##.#.....#....##.######..#...######.#.....#####......###.....#####.########
#.#...#...#..###.##.....#.#........#####..###...##..##...#####.####.#####.####..##.....##..##.#####.#...#.##.##...##...#.#...###.##.#..#.##.##..##.##.##.#.......#######.###.#.#....#.###.#.##....##.#.##.#####....#.#####.###.#.#.##.###.#####..........#
#.##.#######......#####.#.#####.##...####.....#####.####..##.###.....##.#..##..#####.####.###.##.#..#.###....####.##.###...###...##...##..#..##............#######..#.#..##..#.#.######.#.#####.####........#.##.#.............###.##.###.#.#.#.##.#.#####
######....###.##.##.#...#..########.##....###...#.#..###.##..##..###..#.#.##..###.##..#.#......#.##.#.....####.##.#....#.#...###.##.###..##.##..##############.....##.#.###.##.#.#..##.....####......##.##.##....#.#.#.#.#.#.#..####..........#.######...#
###.####.##.####..#.###...##...##.#.#####.####.##.##.#.#..#.#######..##......###..#..##...##.#.#.#..#.#####..#.#..#.######.###.#.##...##.##..##.##.##.#........#.#.#..#.#....#.#.#.###.###..##..##########....##########.#.#.#.##..#####.##.#......##..###
#....##........##...#.##.#####..........###.#..##.##.#.##.#.##.##.##....##.###.##.##.##.########.##.......##.#.#.##.#.#.#........#..####..#.##..........############.##.#.####.#....#....##.###.####...#.######.#.#.#.###########.###.##..#.#.####..##...#
####.#########....#...##.##.###.###.#######.##.##.#..#.#.......#...##.#..####..#.....##...#..###.#..#.#####....#.##.#...########.#.###.##....##.###.###........##.##..#.#.##.#.#.####.#.#####.#......#...##.###........##.##......##..##.############..#.#
#.##.#.#.#.....#.####.##.#...######.##.##.#.##.#..##...#######.#.#######.##.##.#####.##.###.##.#.##.###..#####...##...###.###....#.#.#.#..##....#.########.##.##.....##......#.#....#.####.##...##########......####.#.....##.#######.#....#.##...##..####
#....#...####.####.#.....#.###.#.............#.##.#..####.#.##....##...#.#...#.#..##.##..##..#.#.#....#.##.##..#####.###..#.####.........##..##....#.....########.##..#.######...##...........#.....#.#.#..#.#.##########.###.#.#.##....##....#.####.##.##
####.###......##.....#.#...##..##########.##...##...####....#..#######...#.###.#.##..##.###.##.#.#.####.....##..##.#...#.##.#....#####.###..########.###.##..##.#..####...##...####.#.###.#.#.#.#.#.......######........#............#.####.#....##......#
#......##.##.#####.#.#####.###.####...#######.#####....#.##.##.####..###...#.#.#..##..#..#...#......#.#.#####..###.##.##.#..#.########...#####.#.#.#.#.###..##..##.###..###..#....#.#.#######.#.###.#.#.#...#.##.########.########.#.#.#.##.#.##....#.####
####.#....####.....#.#......#..#..##.##.###.#...####.######.#..#..##.##..#.#.#...##..##.##.###.######.#.##..##.##...#.##.#.##.#..#...#.###.##...........###..##.#....#.###..#####.#.#.......#.#..##.#.###.#.............####.###.#####...####.############
##.###.##..################.#.##.##.....#.#.#.###.#....##.#.##.##.##..####.#.#.###..##..#..#.#.#..###....##.#...###...##....#.#.##.###......#.###########.##..#.#.##.......##...######.#.##.###.##..#.######.#.##.########.#........######.##.......##...#
#.......####..#.#..###.####...#...#####.#......##.###.##..#.#.....###..###.#.#.#.#.##..##.##.#.#.##.#.####..#.###.###.#####.#.#......##.##.##..#...#.#.#..###......##.#.####..################...##.###...##.#..#...#..##..#.########.#.....#.##.#####.###
#.#.##.###.##.....##......###.#.#####...######.#..##...##...#####.#.##.....#.#......##..#................##...#.#.##..#.#.......##.#.#######..##.###.....##.#.###.##..#......##.#.#.#.###....##.######..######.####...###.##.#.##.#.#.#.##########.##..#.#
#.######....#####..######........##.###.#.#.##...####.####.###....#..#####.#...######..##.#######.##.#.###..###....##.#.###.##.#####...##.##.###.....######....#############...........#..#######.##...##.#.####.######....#....#...#.......###.##.##.##.#
#####.####.##.#.##.#...#########.#.............###..#.#.#....####.##.#.#.#.###...###..###...#.##########.#.##.#.####..#.#....#...####.###..#.#.#.###...#.#..##...#.#.#.##.####.#.##.####.##.#.###.#..#..................##...##...###.#######.#.##..#.##.#
#.....#.......#.##.###..###.###..########.####.#.##.#...##.####.#.##.#.....#.#.###.##.##..###.#...#.#.##.#..#.#....##...##.#######.####.##.#......###.##...#####.............#.#..#......##.....#.#.#####.####.#############..#.#...........#.#.##.##....#
#####.#######.#.##.#.##.#.#.#.##..##.##...#......#..###.##..##....##.#####.#.#.#.#.##.##.##.....#.#.#.##.#.##.#.#######.#...#.##.#.#.#..#....#.####.####.###.####.#.###############.##.#....#####.#....##....#.........##..#.#####.#.#.#.####.#.....#.##.#
##.#...........................##.##.####.######.#.##......######.#..##............##..#.##.#######.#.......#......##.....###.##.#.....##.######.#...##........######.....#.#.#.#########.####.##.#.######.#.####.#.#.###.######.#######........#.#....###
#....##.######.########.######..........#.#.........##.###.##.##....#########.########.#.........#..##.####.#.###########..........#####...##.#....#....###.##...#.#..#.#.........##...####..........###.############.##....#.#..##..####.#.##.####.##..##
#.##.#####...###...##.#.#....##########.#####.#.#.########.#..###.####...###..###.##.#.#.###.#####.##....##.#..#.##..##.##.##########....#......##.##.#...######.....#####.#.####....###....#######.##.#.##.#......####..#.##.#.##..##.####.##.#.######..#
#.#..#...###.#####....####.#..###.......##..#####.#.#.#....##.#......#.###.##.#.#.##.#.#...####.#.....##..#.##....##.##.#........#....######.#.##########..##.###.#.##.#.#.#...####.##.#.##......##.##........######.#..##..#.#.##.##.....#.##.......#####
#.##.###.......#...##......##.....##.##....###.#..#...###.##..###.####.##.......#.##.....#..#.#...##.###.#######.###..#.#.######...##..##.#######..#.#.######.#.###......#.#####.#####....####.#..###..##.##.###.#.....####...........##.####..##.####...#
#..###########.#######.##.####.#.#######.#.##..##.###.##..###.#.....##..######.##.###.#######.#.######.###.##.....#..##........##.####......#.#.#.##..............##.#.###.............##..#.########.#########....##.##.########.#.#.##..######...##..#.#
##.##..........#.##..#.####....#.#..#....#.###....##.....##...###.###..##.#.#..##.#.#...#.#.........##..##.####.#...##..#.##.#..####.##.###..........##.#.#.#.#####..#...####.####.###..##......#.#.#...###.#.#.#.###......################.######....##.#
######.#######....##.###..####.#.##...##.#...####..#####..###.#.#...##.##.#.##.##.....###...#.#.##.##..##..#.#####.###.########....#.##.####.###.#.#..#.#.#.#....###.#.#...##############..######.#.##.##.#.#...#...###.####.....#.#.##.#.#.....##.#.#####
#.#..###.##.###.#....##..##.########.#######...##.##.....##.....#.####....#.#...#.###.....############..##.#.#.#.........#...#######.#.....#.########.########.#...#.###.###..........#.##..##.##.#.#...#.#...###.#..##...##.#####.#.#....#.######.#.....#
#.##..#.......#.####..#.###..##.#.####.##.####.#...#####..#####.#.##.####.#.###...#.###.#...##.#.##....##..#.#.##.######.#.###.##..#.####.##...##.#.####.#######.###########.####.#.#...###...........###...#...#.##..#.#.....#.#......####......###.#####
#..##.#.###.#...#.###.....#.##....#.#..##........#.......##..........###.....##.#....########..#..##.#####.#.#........####.#.#.###...#..####.#......##....#.#.####...#.###.#....#.###.#..####.#######.....##########.##.#.###.....##.######.#######......#
##..#.###.#######.#.#####.#..####.#.##..###.####.##.##.#..#.#####.####.####.#######.##.#.##.#.##.##....##......###.#.##.#.......##.###.###.########....####........#.#.#.#.#.####...####....#......##.###..........#.##########.#.##..#...#.......##.###.#
###....##....###.....####.##.##.#...##.##...#.....#######...#.....#.##.##...##.##........##.#.##..##.#####.###.########.#.#####.....#...#...#.##.########.#.##########.#.#.#....#.#..#.##.#.####.#########.###.##.####.#....###########.###.#####.##...#.#
#.####.###.###...###.........##.###....########.#.##..#...#######.#..#..##.##...###.######.....##.#...##....####.##.#.#......##.###...#...#......#.#.##.#.#.##...#####.#.#.#.#######....###...##.........#...#.####.##.#.####.##.#.###........#.##########
#.#......#.#.#####...##.##.#........#.##.#.##.#######...####.##.#.#.##.##..#..###.#...##.##.####..#.#######.#.#.....#.#.####..#...#.####.###.#.#...............###.#.#.........#.#.#.#.########..#.#.#.#.#####...##.#......##......#.##.#######..##.###.##
#.######.#.#.......#.#...#####.######.........##.##.######.#.#......#..###.##..#....####.#...####.#.###.#...#...#.#.......#######.####.#########.#.#.####.######.#.....#.#.#.#.....#####......######.#.#.....#.###..#.#######.######............###.#.#..#
#...##.....################.##.##.##..##.####.......####...#...##.#...##....##...##..#.#.#.###.##.....#.###.#.###.##.##.#...##.####....##.#.#..#.############.#....##.####.#.###.####.##.########.####.#.##.####.##.#.#..##.#.#.###..#.##.#.#.#.........##
##.#####.####........####......#.....#####....#####.#..###...#..####.#####.##..#.#####.#.#.#....#.#####.##......###..##.#.###.....##.#.##.#.#.#####.............#.#####.##.#######..#.#...#.##....#..#.#.##..##.........###.........####..#.####.#########
##.##....##.#######.##..############...###.#.##.....##.#.##.########.#.##...##.###.#.#.#.#...##......#..###.##########..#####.######.###......#.#.#.#.####.#.#######.#..######..##.##...#....####...####.##.###.##.##.#.##..###.#.#....####...##.........#
#.....##..#.#.####.....##.#.#.##.....###...#.##.#.#......######.#.#.....###..#..##.#.#.#.#.####.######.##.......#..####.##.....##.#...##.######.#.#.######.#....##.#...##.##.##..#....########.##.###.####.......#.##.#..#.###########..#####.#######.####
###.#..##..........###...........###.##..#.####.####.#.#.#.#.#..#...##.##.##.##..#.#.#........#####.#...##.######.##..#....#.#......#..#.######......#...######......####..#.##.##.##..#.....#.##.....#..#.##.#.####..##.............##.....#...#####....#
##..#.####.##.##.#.##..##.##.##.##....##.###....##.#####.#.#.##.##.##...#..#....##.....#########..#.#.####..#.##.....###.######.#.#.##..........##.###.###############..#.##.#......####.###.#..#.#####.####..#....#.####.####.#.#####..#########...#.#.##
#..##.#....#..#..###..##...######..#.############........#.#.#...######.##.####....#######..##.#.##.#.##.##......#.#.##....##.###.#..###.#.#.##..#.........#......##.##......#.##.####.#...###.##.###.#.#######.######.##...##.#..##########.##.#.#.###..#
##########.#.###..###..#######.###.###.##....#.#..##.###.#...##.#######.....##..##.........##..#.##.#.##.##.########..##.#......#######..######.##.#####.#...#.####...##.#####..####.....####..##...#....#.#.##.....##....#.##.##...............#.########
###.###....######.#...##...#.#..######.#####.#.##.######.###.##.##.##...#.#....####.##.##.####.#.#............#....#.###.#.#.#####.##.##..#.#.######.#####.#####.##.###........###.#.#####..##.##.#...##......#####.##.#.#######..#.#.##.##.###........###
#.....###.###.#...###..###.#.#.##.##.#.#.#...#.####.#.........#.#.....#.#.####.#.########.##.#.#.#.#####.#.##...#.####...#.#...........##...............####.##.........###.##...........##.......##.######.####..#..#####.##..##.#.###...#.####.##.##...#
###.#.....##....#.#...##.......##..........#...#.##...####.##.....#.###.###....#....#.#.###..#.#.#.....###.###.####..###.#.#.#.#.##.#.####.######.##.####.##....###.#.#...#.########.######.#####..#.#.#######.##.######...##.#####.###.#.#....#..#.##.#.#
##..#.#.#..##.######.##..###.#.###############.#.#..####...##.#.#######...####.#.####...##..##.#...###...#..##...##.##.###.#.#.#.#######.#......#.##....#.#..########.##.##.....########........######...............#.##.###.#######.###.##.#.#.##..#.#.#
#..####.########.#.###########.#.##.##.###.......#####.#####..####.#....###.#..#......####.##....######.###.##.#.....#...###.#####.#.#...#.#.####.##.##.#.##........####..#.#.#.#...#..#.####.#........#.#############.##.#.#..##.##...##..#.#.####.##.###
##..#####....#.....##..##.........#.#....###.###.#.##........##....######...##.#.#######.#.##.######.####.####.#.###.#.###...####......#.###.#..#########.#..#.##.#....#.##.###...###.##....#.##.##########.######.#.#.#......###....#..##.###....########
#####...####.####.##..##..#.#.#.#...####.#.###........#.#.##..####...######.#.......##.#...........#.#.##..#.#####.###.#.###...#..##########...####..#.#....##.##.#.#.##..######.##.#.##.#.##.##......#.#................######.#.####.##...########.##..#
#.####.#####.......##.##.##########.........#..##.#######.#..##....#........##.#.####..#.###.#.#.#......##...##.....#......#####.##.#.#.##.#####....##...#####..#.#.#####.....##.......#.########.#.#.....#.###.#.####.#####..#.....#######.............##
#...##.##....#####.##.####.#........#.#.###.####..##....########.#.########....#.#.##.##..########.#.##..#.###..#.#...#######.#.............##.#.#####.#####.#############.######.##.#....#.##.######.#.#.#.#####....#...#.##...###..##.####.#############
###....########........##....##.##.########.##########.####....#########..##.###.........##.#....#######.......##########.##....###.#.#.###.#........#.......##.###...##.#####.#...#.#.##...........#.#.###.....###.######....#...##....#.#####..#..####.#
######..#.###...#.#.##.#..#.##..#...###........#.#.###.##.####..#.#....##.....##.#.##.####....####..#.##.#######.#.#.#.....#.##...#############.######.#######....###.#........##.#########.###########.##..###...#...#....####.#..######.#.#.#.##.##....#
#.##.##.....##########...######.#####.########.#.#.#.#.##.##.##.#.####....##.##..#..#....#.##....##.#.#####............#####..##.###..###..##..............###.####.#...##.##.##..........#......#.#.##..##..####.#.#...##########..##.##...........##.###
#..#.#..###.#.##.#.#...#.#.#.####.......###..................#.........#.###.###.#.##.#.##..#.#.##..........#.###########....##......##...####.####.#.##.###.#.####...###########.##.#.#.##.####......##..##....#.###.#..........##..#..##.########......#
##.#.#####...........#####...#.##.#.###.#.###.#.#.##.##.#.##.##.##.###.#.#....####..#.#....####....##.#########...........######.#.####.###......##.#.##............#.....#.##.##.##.#.####....###.##..##.##.#.##...#.#.#####.#.####...##...#####.#####.##
#..........#######.#.##.##.#...######.....#.#.#.#..####.###.....##.#...#####.##....####.#.######.#.####.#.##.##.####.##.###.#.#######.#.#.##.##.###.#..##.###.##.#.##.#.#......##.##.####.##.#...#####..#########.#.#.#...###.#...##.#....#........##.####
############.......###...#####..##.#..#.#.....#.##.#....#...###.##.##.####...##.##...##.#...#.######.#..........##.########.#..##.#.#.#.#.....#...####.#..########..###.#.##.#..####......##.#.#####.##..#.##.#.#####.#.#...###.###..#.#.###.#####.....#.#
#..###.##.###########..#..##.##.#..########.#.#.##.#.#.##.###....#.#####.###.#..###.###.###.#...#.#....#.#.#.##.....##.##.#...##....#.....#.###.#...#####...###.###..##########....#.#.##..#.#.....#.###...#......##..#.#.#.###...##.###..##...##..###...#
##.#......#...........###.......#.##.#.#....#.#.####.#######..##.###.........##..##...#.##....###.##.###.#.#####.#.##.......#....##...##.##...#.#.#...#.#.#......#####.......####.##.###..#####.####.#.#####.##############...#.####..##.##..#.###...##.##
#..######...#########.##..##.##........###.##.###....#...#...###..##.#.##.##..##.#..###..##.#..........#.#..#.##.#....##.#.##.#.####.#####..#######.###.#####.#.##.##..###.###.#####...##.....#...##.#.###.#......#.#######.#.#....##..#######...##.##..##
##....##..#.#.....#####..#########.#.#.....##.##..#.####.###.#...#######...##.#..##..###.#..#.#######.#####....#.#.#.#############...#.#######..######......######....##.###.#.#...#.####.###.#.#..#.#.......#.####...#.#.###############..############..#
#..##....########...######.#.......#.##.##.##.##.####.....#..##.##.######.##..##..##...###.##.......#.....##.#.###.###.##.#.##.#.###......##.#.##.##.##.######.#.#.####...##.....#.####.#..#######.#.#.#########.#..#.....####.#..##.#.#..##.#####.#.#####
######.#.##.......#.....#....#.#.#.#.##.#...#.####....#.#...###.#..#.#.....##.#..####.########.##########..#.#..##..##...........###.#.##..........#.#..#.#.............###..##.##..#...####.#...#......#..##.#....###.####.#....##....#.###.#...#.#.#...#
#......#########.######...##.#####.#..#####.#..###.#######.###....##...#.#.##.#.##.......##.............#.##.#.####....#.###.#.#...###..##.##.#.#.##.#.##...####.#.######...#########.######...####.#.###.##....#.##.###.##...####..####..#....###.#...#.#
#.##.#.#.........#......#..####....##.#.....#.##...##..#.###.##.###..#.#.######..#####.#..###.#.##.##.###..#.#....##.#.#..##.#####...##.##..#####.##.#.#..#...#######..#..####...##.#.###....###....#........######..##..#..#......###.#.##.####...#.#####
#.#..####.######.########.##....#.#####.##.##..##.####............#.####....##..###....####...#..#..#..###.#.###.##..####.##..#.####..########.#####.#...###.##.#.#.##.#.###.#.###......##.########.#.##.##########.####...##.##.#...#.......#.#.###.#.###
####.######.########.####..##.#.####.....####.#####.########.##.###.#....#.####...##.#....###.##.#####...###########....#####.....###.##.#...#..###....#...#..#.................###.###........######.##........#.#.#.##.####..#######.#######.#..#......#
##.###.#.#......##........###.#.##...##.####....##.......##..##...#.####.#...##.#.#..###.##....#..##.######.##.##.###.#.....####.##.###..##.##.##...#.##.####.#.####.#.######.#.......#.######.....######.####.##.#.#..#..#.########.#.##....#.#.##.##.###
#..........####....###.##...###.####..####...#.##..##.##....####.##.#....#.###..#.##.##...##.####..............#..#.#.#.##.####......###..........#########.###.#.##.#......#.###.#.###......#.###...##.####.###......##.##.##.#.#.#......#.##.......#...#
##.#####.#.##.#.##.##..##.#.#...#....##....###.###########.###.#.##.####.#...##.#.##.#..#.##....##.#.#######.#...##.###..#....##.#.#...#.#####.##...##.##.#.##.....###.############..##.##########.###..###...##.#######.............#.#.####..##.########
#..#.....#.##...######.##.#.######.#.###.#...###.#.........##.....#.#..#.#.#.##.#.#..##.#..#.##.##.#....########......#####.#.##.#.#.###.#.########.........##.#.#...#......##..####..#...##...#.###.##.#...####.##..##..#.####.##########.#..#######....#
##########.###.##......##.#..#########...#.###...########.####.#.##.##...#.#.#..####.#..##.####.##.##.#.......###.#.#.....###.##.#.#.#............#.##.#######.############....##..#.####....###.##...#.##.##.#...#.###.####.####.#.#..##....###.##...####
###...##...#....##.#.#.#..#.##..##.....#.#..####.###.####..##..######..#.#.####.#....##..#....#######.#####.#...#.#.#.#####...######...#.#######.##########.#...#.#.#.....#.#.##..####.#######...#..###.##.##.#.###..#..#.##...##.....##..####.#.##.###..#
#...#....#.##.###..#.####.#####....#.#.#.#.##.............####...#.###.#.#..##..##.####.##.#.###.#.......##.#########.....###......##.##....#.####.##.#...#...###.#...#.#####.##.####.....###..###.###..#.......###.##.##.##.###..#.####.##.............##
#.#.##.#.#.#....#######...#.....##.#.#.#.#..##.#.#######.###.##.##.....#.##..##..###.....#.#.....##.#.####.........##.#######.##.######..##....##.......#...#.......######.####...##..##.##.#.##.#...##.###.##.##....#.#.......#.####.#...##.###.#.##.#..#
###..#.#.####.#.#.......#.###.#..###.#.#.##..######........#.#..#..##.##.##.##..##...##.#####.##.##.#....#####.########.#.#.####......##..#.##....####.###.##.#.#.#.#####...##..####.##.......#....###..#....######.##.#.#######.#.##.#.####...#####..##.#
########.#..#######.#.#######.#.##...#.#.#..##....###.##.###...###.#..##..#.########.#.....##.##..#.##.###...#....#.##....#.##.#####.##..######.#...##.#.#..#.#.#####.#.##.###.####...#########.####.##.###.###.#.#.......#.##.#.#....#......####.##.#####
#....######.##.#.######.......#.#..#.############......###...#...#.##..##.#..##......#.#.#..#..##.#.#......########..#.##.........######..###.#####..#...##.#.#.........##.#.#.##.#.###.#..#.##......##.#.#.........#.#.#.#........##...#######....#..#.##
#.##...##.#....#.#.#.###.#.#.##.#.##.#..##.##..######.####.###.###.##.##..##.###.#.###.#.#.##.##..###.####..#.....#.##.##.##.#.####....##...#.##.###.##.##########.##.#..#......#.#...#.##.#....#.#####.#.#.###.##.##.#.#...#.##.#####.##...##..#######..#
#.##.#....####...........#.#..#.###..##.....##.#.#.#..##...#....##.#..##.#####.###.#...#.##########......##...#.#.......#.######....##.##.#........#..####.#.#..##..######.####.#...###..#...#######....#.#...#########.#.######...##.....#....###.##.#.##
#.#####.#......#.#.##.##.####.#..###..#####.#........####.##.#.##..##.##.#.#.......###.#..#......##.#.#.#######.##.#.#.##.#.#.#..#.##..##.###.###.###..#.#.....####...##......#...#...#.##.###.#.#.####.....#..##.#..##.#......##.######.##.#.##.#.......#
###...######.#.#.#.#..##.#....##...####.......#.#.#####...##.#####.##.##...###.#.#...#.##...#.#.#####.#.......#..#.###.##.#.#.#.########...##..##...#.##.#.#####....#####.##########.##.............#####.####......##..#.#.#.##.......######......##.#.##
##..#........#.#.#.##.#..##.#.###.##....#.#.#.###.##....#.##.###....#.#..###.#.###.#.#.#..###.#...##..#.#.#.###.##...###.........##.#.####..#.##..#.#.......##.##.#..#.#...........###..#############.##...#.#.################..#.#.#.....###.###########
#..###.#.#.###.#.###..#.##..#..##..##.#.#.#.#.##..#..##.#.#....##.######.###.####..######.#####.#..##.###.#######..#...#.#.##.####.......#.##.##.####.#.#.#.....####.....#.#.#########.##.##.###.#.#..#..#...#.......###.#.#.###.#.###.###...#...##.####.#
#####..###.#...#...##.#..#########.########.###..###.#..#.##.###..##.#.###.#.##.##..#.#.#...###.#.###..##......#######.#.#.##..#...#.#####.##..#..##..###.#.###..##..###.###...#.#...........#.#.#.##.#.##.#.####.##..........######.....#.#######..#.#..#
###...##...#.#.##.########.#.##.####..############.#.#.##..#.#...##....#...........##.....#...###...##.###.#.#......##.###..##...#.#.....#..##.##..##.##########..##...#########...####.#.##.......##....############.##.####....##..#.#####....##.##.#.##
#.###.##.#.#.#.#...##..##........##..##.#.###.#.#....#.###.###.#.##.##...#.#.#.##.####.#.###.#####.##....###.##.#.####.##..##..#########.#.######.##...........####..#.....###.#.####.###.#..#######..#####.##......#######.########.#....#..####.....#..#
#.....######.####.####....##.#.#.###..#...........#.##...#..##.#.##.####.###.#.##....###..##.....#####.#...#..#.####.#.###.###.....##########.##...##.######.#..####.#.#.#.#......##....####.#.#.#.##..........#.#.##..##....###..#########.####..#.#...##
#.#####.#......##....##.#.#..#.#...##.###########.####.###.#####.#..#....#...#.##.####...###.##.##..##.#.#.#.##......###.#..##.#####....##..#.##.#.##......####....#.#.#.#...#.##....####..###.#......##.####.####..##....####.#.##.#.##.#...#.#.####.####
#.##....####.####.#.##############................##....##.#.##..##.#######.####...##..###....#..##....#.#.#.###.#.#.....####...###..##..##...##.#..##.#.#....#.####.#.#.#.#.#.##.#####.##.###.#.####..#.#..###.###.#..#######.#.##.#.#....#........####.#
#.#..##...##..##..####.###.##.#....##.##.#.###.#.####.###....###.#..##......#....#..##.##..#.##.####.#.#.###...###.#.#.#....##.##.##.###..##.###.##..#.#.#.#.##...##.#.###.###.##..................#####...####..####.####...#.#.##.#.#.###############..#
#########....####..##...#.......#.##...#####.#.#.#......##.###...##..#.###.###.#.#.##...##.#.####.####.#.##..#...#####.#.#.##..........#.##....#.##.##.#.#.#..#.####.####...####..#.#.##.###.###.#.....#.#....##..##.....#.###.#.##......##.#.....#.....##
#.........##....#####.#...#.#.#.#.#..####.#....#.##.##.##...##.#.###.#.#...##..#.#..###.##.#.......###.#.##.##.####.##.#########.#.#.###....######..##.#.#.#.##....####.#.#....##.###.######...####.#.##.#.#####.###.#####.##.......#.##......#####.###..#
#####.###.###.#####...#################.....##.#.##.##.##.#.##.#.#...####.####.####.##..#..#.#.#.#...#.#..###.....#.#####.##.#####.#.####.#....####.##.#.#.#.##.######..###.####....#......#.#....#.#..#.#....#...............#########..#.#####.#....#.##
#.....#.....####....#.####.#.#.#.#.##...#.#.#..#.##..#..###..#####.###....##...###...##.##.#####.##.####.####.##.##.#.##.......#####...##.####....#.##.###.###.......##.###.#####.####.#####.########.##.#.##...#.#######.######.###.###.#.........##.#..#
###.#.##.#.###.########...............#.###.#.##.###.##..##.####.....####..#.#...##.##..#......#..#..##...#.####....#....#.#.#.....##.###..#.####.###...##...##.#######...#.....#....#.....#.......##..#.#.##.###.....###....#.#.......###.#.#.##.######.#
#...#.#..#.##...#.##.#..#.#.##.#.#.##.#.#...#.##.#....##.##.#..##.#.######.###.#.##.#..##.#.#.##.###.###.##.##.####...#.####.#.#.####...##....###..##.#..##.##..........#.#.#.#.##.####.#.####.##.########..#..##.##.##.######.#.###.###########....##.###
###.####.######........#############..#####.#.##.##.#..#.#..##....####......####.##.##.#..#########..#...##.......#.#.###..#.###..##..#.##.##...#.###.#.##..##.##.##.######.#.###..#..#.###.####........##.###.##.#.....###.#.....####.#...######.###....#
######.#####....#.##.#..#####.#......##.....#..#.##.######.###.######..####...##.##.##.##.......#.##.#.#....#.##.##.#.###.#######..##.#.######.#####..#..##..#.#..##......###...##.#.##.......####.#######...####.#.###.......#.###....#.###.#..#.#.#.####
#..........####.#..######.#.#.#####.#######.#.####......##.##..#......##....#.#..##.##.##.#.#.#...######.##.#..#.##.###...#.#..#####..#....##......##.##..##.###.####.###..##.###....###.#.##..#########.#######..#.#...#.##.##...#.##....##.#.####.#.#.##
##########.####.#####.##.........##.#.#####.#..##..#.#.##...##.##.##.######.#.##..#.#..####.#####...##...#######.#......#...#.##.####.########.######.###..#.#####.##...#####...##.#...#.#..##.............###.########.###..####...########.#.#.#..#....#
###...........####.......#.#.#.#....#.......##.##.##.#.#..######..#....##...#.###.####.#.......##.###..#.......#.#.#.##.#.#........##......#.#######..#.##.#........#.#.....#.######.#####.##..##.#.##.#.#.........##.....##....#.#...#.##.........##.####
#.########.##.##...##.##.#.######.#.##.#.##..#.##..#.####.##.....###.#####.####.....##.##.##.####..###.##.#.#.####.#.##.###.#.#.#.##..##.###.......##...##.#.#.##.###.#.#####....##......#####..#.#..#.###.##.##.######.######.##.#.###.##.###.##.##.....#
#.......#..#.....#.####..#.##.#...#.#..#.#..##.##.##..##...##.##.#.#.#...#.##...#.#..###..##....##..##.##.#####....#.##...###.###..##..#.#.#.#.##.##..#..#.#.#..#..##.#..#.##.#.##..##.#####.#########...#.##..#...#.##.#.#..#.##.#..........####....#.###
#####.#...###.##.#.#....####....#.#.##.#.#.##..#...#.####.########.#####....##.##.#.###..####.#..##..###....#####.##.#..#.###..##.##..##.....#.##..##.#.##.###.##.######....#.#.#..##....#....##.#.#.#####.##.####.#........##.##.#.##.#.#.#....#.#.##...#
#.....###.##..##.#.##.#.#....##.#.#.#..#.#..##.#.#.####.#.#.#...#...#.###.###..##.###.##....#.##..##.###.##.....#.##.#.##...##.##.##.##..##.#####.##..#.##..##.##.#.###..#.###########.#...#.###......#.#####.#.######.#.##..#############.##.#.#.#..##.##
#.##.##...###.#..#.####.###.##..#.#.##.#.#########..##......###.###.......##..###.##.....##.#####.#....#.##.#.###..###.##.#..#..#.#...##..#.#.##..#####.##.##..##.....##.#.....##.#.####.#####.#.####....##.###.#.#.#..#..###########....#.##.#.#.##.##..#
#..######.#...#.##.#.#...##.#####.###..#.#.........##..##.###...###.##.##..##.##...##.#.##.....##.#.#.##..##########...##.##.#.##.##.##..##....##..#.#####..#.###.#.#.####.#####....#..#.#..##....######.....##.#...##.##....#.##.#.#.#################.##
#.##..#####.#.######...#..###.......##.#.###.#.#.#..##.#..##..#......###..##...###.#..#..##.#.#######.##.###.....##..#..###..#.##..#.#..##..##..##.....##..##.#.###.###.##...#.#.####.#####.#..##.....########....########.#...........##.##...#.#.###..##
#####.#.##..#.##..###.###########.####.#.##..#.#.##.#..#########.#.#.#...##..#..#####.#.##..#......##.#......############...##..#.##.##.##.##..####.##.##.##.....##......##.##..........##....####.#.##.##.#.#.####.#..##..##.##.##.##.....#.#.....#.##..#
#.....#..##.#..##......##.#.#......##..####.##.#.##.##.##...##...#######.#####.##..##.#..##.#.#.#####.##.##.####.##.#...#.#..##.#..#.##.#...##.#.#...#..####.###.##.##.#.##....#.###.##....#.###.#.#..................####..#..#.#...##.##...#.#####.#####
###.#...###########.#.##......#.##..##..##..##.#.##.##..#.#....#...##....#.....#..##..##.##.#.#...#.###..#............###.#.########..#.#.#..#...##.##.####....#..####.###..#.##...###..#.##...#.###.##.#.#####.####.##.##.##.#####.######.#.#...........#
#######.##.#.#.#.#..#.##.#.####.##.####.##.##..#.#..###.#####.##.#.#..#.###.##...##..###.#..#.###...######.##.###.#.#...#.#..#.#.#.##.#.#.#.###.######....##.####....#.##..#####.##########..#.....#..#.#.....#..##.....##..#.#.##.......#.####.#####.##.#
#..#....##...#.#...##..###.#.....#.##...##..##.#.##.#...##....##.######..####..#.###.##..##.#.#######....####.###.###.#####.##......#.#.#.#.##...#...#.#.##....###.#.#..##.#.#.#...#......##.#.#.####.#.#.#.###.####.####..####..##.#.####..##..##..#..#.#
##.####.####...#.#..##.########.##..##.##..##..###..#.#..####..#..##....##.#..##..##..##.##.#...###...####......#..##....##....##.#.#.###.#..###.#.###.#..##.###...#.####....#.###...##.####.#.#....###.#.#..##...##.####.#####.#####...###..##....##.####
#........#####...##..#.#..#......##..#..##..##..##.####.##....###..##.#.#....##..####.#..####.#.....#....##.#.#.##..#.####..#.#####.#####.#.##.......#.#.###...#.###....##.#.....#.#.##....###.####..##.###.####.###....###.#.....#####..#####..##########
####.###.......#..##.####...#.#.###.##.##..####..####...#####...##.#########.###.#..######....##.#.##.#####.#.#..#.##....#.##.....#.....###..##.#.######.#.###.###...#.##..#.##.##.#..######......#.###..##...##.##..##.......#.#....#####.#.##......#.#.#
#....####.#.#.##.######...#.###...#.##..####..#.##....###.....######.#.#.###..##.#.##......##.####.##.....#.#.#.######.#.#####.#.##.###...##.#..#..###.......#...#.#.#..##.#..#.##.#.####.###.#######.######.###..##..##.#.#.#########.##.....##.#####...#
#.#.##..#####.#####.#.#.#.#.#...###..##.#####...#..#.##...#.#..##.##.........###....######.#....####..#####.###...#.#######.#..#.####...#.#####.##...#.##.#####.####.#.##..##.#..#.#.##.....#............##....#.####.##.#.#..............##.#######...#.#
#.#.###........##.#.....#.#.###.####.#......#.#.#.##.####.###.##.....###.#.#.##..#.####....#.##....##...###.#...#...........##.#...##.#.#.#......##.####......#...##.#.###..#.##.###....######.#.#.##.##..###.##.#.#...#####.#.##.###.###.####..#....###.#
#.#.#.######.#.##...##.####.#......####.###.#.###..###....##...##.########.####.##.##...#.##..##.###..#...####.###.####.########.#..#.#.###.#.#.##.....##.#.###.#..#.#..##.####....##.######.#####.########.#..#...#.#..#.##.#..#...#.##..#.##.##.######.#
#.###........#####.##...#####.#.##.##.....###.##..##...##..##.###.#.........##..##..#.#.#.##.##....#.####..##..##.....#......##########...###.#.##.########..##.#######.#..####.##.#..........#.##...##.##....###.##.##.#..#.##.#.#.#..##..............#.#
#.#...####.#.##.....##.##.....###..##.##.##...##.##..#.#..###.##..##.###.##..##..#.##.#.#.#...##.###....#.####..###.####.#####.##...###.#########...#.##.#..##....#.#.####..#.######.##.#.#.#....###..#.#####.#.#..####...##..###.####.####.#.#.#.########
########...#.#..#.#..#############.##.#...###.##.#..##.##.#....##.#####..##.######.##.#.########...##.#.#..#.##..##..#.#........#.###.###.#.##....#...#..##..#.##........##....#.##..##.######.#...##.......#...#.###.##.####..##...####....#.#.#.....#.##
###......#.#.##.###.##..##.........##.#.#..##..####.##.#####.#.##.#.....##.......#..###.##....#..#..###.#.##....##..##.##.##.#.##.#....#..#.#####.#.#...######.##.#.####.##.##....##.##....#.#.#.#####.######.#.#.....##....##.######.##.##.#######.#....#
#...##.#.###.##...#..##..###.#.#.#..#####.##..##.....###.#.#.#..######.####.##.####.###.###.#...##.######..####..##.....#.##.#......####.##....####.##.##...##.##.#....#.##.##.####..##.####...#....##.....##.#.#.#.#.#..####.....##..##.##.......#.##.#.#
#.####.#.##...##.#######.....#.#.##....##..##.#..##.###......##.##.......##..#...##...#.#.#####..#....##..####..#####.#.#..#####.##.........#.##.....#....#.##.##.#.##.###..##..####..#...###.###.#..#.######.###.###.##....##.##....###..#.#.##.##.#..#.#
####...#..##.###.##......#.#.###..##.#..##..####.#####..##.#..######.#.#.##.##.####.###.#.......#####.##.###.##.##.#######.....#..#.######.####..##.###.#.#.##.##.#..####..##..##.###.#.###.#...#.#.#####.#.###.....###..##..#..##.###...##.#.##.##.##.###
#....#.#######...##.#.##.###..##.##..#.####.##...#.#.############....#.####..#....#..#####.####.....###....#.#..........#####.###.#.....####.###.##.##..######..#.##....#.####......#.#.....###.#.#...#.....####.##.##..####.#.##..###.#..###..#..#.##...#
###.##..##.....#.##.#.#..##..##...##.#....####.#.#........##......#.##.#....########...#.####...###...##.#...##.##.#.##.....#########.#.#.##..##..#.###......#.######.#.####...##.#.#####.#...#.###.#...#.#....#.##..#.##.########...####..##.##.####..#.#
#...#..##..#.#.#..#.#.##..##.###.##..#.##.#..############....##.#.#.##.#.##........##.##......#...##.##..#.#.##.#..#..#.###.##.#.#.####......##..##..##.#.#.#######...#....#.#..#.#..#.##.#.###..##.##.####.#.####..##..#.#.#...###.###.########....##.#.#
###.##..##.#.#.##.#.#####.##...#..####..####.##.##.....###.#.#..#.#.#..#.##.#.####..#######.###.#.##..#.##.#..####.#######............##.#.#..#.###.#######...#.#.###.##.#.###.##.##....#.#...##..####...##.###.###.#..##.#.#.###.#.##.........#.##.#..#.#
#.#.###.##.###.##.###.....#..###.##....##....#...#####.#.#.#.##.#.#.##.#.#..#....##....##....##.#..#.##..#.#.##..........###.##.#.#.######.####...###...##..#......##..###...#..#..##.###########.##.#.#..#.......#.##.##......#..#....#######.#..#.##.###
#...#.###..##..#....########...###..##..##.#...#...........#.#..#.#..###.##.#.##..#.####..#.##..#.######.#.#.#..#.#.#.##...#..#.###......#.###..#.....###..##.#.#.##..####.#.####.##...........##....#.######.#.#.###.....#.##...##.############.#####...#
#.#...##..####.#.#.##.###....#..##.####.##.##.##.##.##.#.#.#.#.####.##....#.#..####..#.##.#..##.#......#.###.##.#.#.#..#.#.#.##...##.###.###.##.#.#.#...##..#.#.#.###.##...#...##..##.###.#.#.##..#.##......#####...####.##..#.#..#............###.##..#.#
#.###..#.##....#####......##.####..#....##.#..#..##.#..###.#.#..##..#######.#.###...##....#.#####.####.#...#.##.#.#.##.#.#.#..#.#.##...#......#.#.#.###..##.#.###...#..##.##.#.#..##....#.#.#######..#.####..##########...#.##.#.##.#.#.##.#.#####.###.#.#
#...##.#..#######.####.#.###....#.##.##..#############..##.#.#.####.#..##...###.###..#.#.##..##......###.#.#.##.#.#.#..#####.##.#####.###.##.####.#...#######.##..###.##..##.###.##..#.##.#......##.##...###..#.##.##.##.##..###.##.###..#####.#.....###.#
#.#.##.#.##...##...#.#.#.##..#.####...#####.##.###...##..###.#...##.##....#......##.##.#.##.##..#.#.####.#.#.####.####....####..##..#..##.##..#####.#####..##..##.###..##..#...#.##.##..#.#.####..#..###...####.#..##....#########....##....##.#.###.#####
#.#.####.##.#....#.....#####.#....##.##............#....######.#######.##.#.####..####.#.#...#.##.#....#.###..######.#.####.###..##...##..###.....#.##....##..###...#.##..##.#.#.#...##.#.#....#.##.###..#........####.#.........##.###..##..#....####.###
#.###....##.##.#.##.#.##.....#.##.##..#.#.####.##.#####......#.###.#...#..#....##....#.#.##.##.#..#.####...##...##...........###..###.###...##.####....######.##..#.###..###.#####.###..#.##.#.#.##...##.#.#####.###...##.#########.####..##...####.#....#
#..#####.##..###.#..#.###.##.#..###..##.####....######..#.##.#.#.....#.##.#.##..#.##.#.#.#...#.#.##....###.##.#.#..#.#.##.#.##.######...#####.....##.#####.##..####.####...#...##....##.#.##.###.######..#.....#.#.#.#.##.......#.###..#.####.###...#.####
#.##.....##.####.##.#.#...#..##...##..###....#####.#...##.##.####.##.#..#.###..##..#.###.###.#.#####.#...#.##.#.##.#.#..######......#.#.....##.####.........##.###.....#.###.#.###.#.##.#.##.##......##.##.#####...#.#..#.#.#.###.###.#####.###.#.###.####
#..##.##..#.##...#..###.###.##..#####.######.#.......#..###..##...#..##.#.###.##..####...#...#.....###.######.###..####......#.#########.##.##....###.##########...#.###...###..##.#.##.#.##..##.######.#......#.#.####.###.#.###.#.#.#.#.#.###..........#
##.#..#..####..#.##.#...##..###...##..#......##.##.#.##...##.##.#.##..#.#.#....##....##.##.#.##.##.##..##.#...##..###.##.###...#.###.#.#######.#.###......#.#.##.###.#.###...#.###.#..###.##.##.......####.#.###.#...##.#...#...............#.##.#.#.#.###
#..#.###....##.###..###..##...##.####.#.#.#####.##.#.##.###..####..##.#.#.#.#.##..#.##..####..###...##.#..#.#.#..##.......##.#..........##.#.###...#.##.###....#.##....#########...##.##...####.###.####.#.#..####.###..##.###.#.#.#.#.##.#....#.###.###.#
#.##..###.#.####...##...##..######.##########.#.#..#.##...##...##.##..#.###.#.##.##..##...###...##.##....####.#.##..#.##.##..##.##.##.#........#.#.#..#.....######..##....###.##.######..#....#..##.##...#.##....#..###..###.###.#.###..######...##......#
#####..####....###.#..#####.....##.....##.......####.##.####.###..##.##.###.#..#####.##.###.#.#.##.###.#...##.#####.#.#...##..#.####..#.##.##.##.#.#.##.#.#.....##.####.###.#..#####....##.#.##.##.....#####..##.##..##.####.#...#...##......##.#####.#.##
###.#.##....#.##...#####....#.#.######....####.#######...##....#.##..####...##....##.##..##...####...#.#.#.##.....#.#####.##.##....#.##..#..#.##.#.#..#.#.#.#####....##..##.#.##...####..#.#..#..###.#.....##.#...#.##.....#.###.#.#..##.########.##..#..#
#......##.#.######.###...##.#.#.#......#.###...#...###.#..##.#.#.###..###.###..##..#.##.#####....##.######.##.###.#.##....#####.#.##..#.##.##.##.#.#.##.###.....####..##.......##.##....##.#.###..##.##.########.##.##.#.#...##..#.##..#.##.#...#.###.##.#
####.#.#..#..#.#...#...#.##.######.##.##.##..###.#.....####..#.#.#...##...##..##..##..#..##...##.##....##..#....###.#####.....#.####.##..####..#.#.#..#...#.#.#....#.##..##.#####.###.#..#.#...####...#......##..##.##.#.##.##..####..##......#.....#..#.#
#....#.##.#.##.#.####.##.#.......#######..##.##..##.#.####..##.#.#.#####.##..###.##..##.####.##...##.#.#..###.#######.....##.##....#####.##.#.##.###.##.###.#.#.##.#.###..#.###.....###.####.#..####.###.#.#####..#.#..###..###.##...##..##.############.#
###.####..#.##....##..#..##.#.#.###......##..#..#####.##...#####.####.#...#####...##.##..##...##.##..####..##.....##..#.#..###########.#....####...#.##..##.#.#..#.###.#.##.....##.######.####.##.##...###.....#.##.##...##..##.##.#.###.##....#####.#####
#.....#####..##.#..##.##.##.#.#.#.##.#######.##...##..####.##.#####.#...#.###...###..#..#######...##..#.#.##..##.##..##.##......####.#.####....#.#.#..#.###.#.#.##.##.....##.########.###....#....########.##.##..#.#..####.######.#.#....##.#..........##
#.#.#.#.....##..#.##..#..##.#.###.#####.#.#####.#.##.##.........##..#.#.#...#.#...#####.......###..##...#.##.##...##.#..#..######.........##.##########...#.###..####.#.#.#...###.#.#.#.#.#####.#....##..####..#.##.##....###.###..#.##.###..###.####.#..#
#.#.####.#.####.#######.##..#.##..#.#.#.#.#.#.#.######..#.#.#.#.###...#.#.#.#.#.###.....##.##...####..#.#.##.####.#####.#.#######.###.###.##...##.....#.#.#...##....#.#.#.###.........#.......#.#.##....###.####..######.##.......####...#################
#.#..#.######.....##.....##.#..##................##....####.#####...#.###.###.#...##.##..######....##.#.#.#....##..##...#...........########.#....##.##.#.#.#####.#######.##..#.###.#...##.######..##.#........#.####.##.##.#.#.###....#.............#.###
#.##....##....#.######.###..####..#.#.#.##.##.#.######.##.......##.##.#.....#.#.#..#.###.##.####.###..#.#.#.#.###.###.#.#.#.#.###.#..#.....#####.###.##.###..#.##.......#..####.#####.######.#.##.###.#.########.......#..###.#.#...#.###.#.##.#.#.###.#.#
#####.#######.#.###......######..##.#.#..####.#.#.#....####.##.##..#..##.#.##.####.###........##...##.###.#.#...###...###.###..##.####.######.####.###....##....#.#.###.##.##......##...........#...###........##.####.#.##...#####.#.##..#.####.#.......#
#.......#.###.#...####.###.#....##..#.#.##....#...####.#.##..#.##.##.###.#..#.###..####.#.#####..###...####.##.########...####..#.........#.#........##.#..###.##.#...#..#..###.##.##.###.##.######.##..########....##.#.#..#.##....#.#..##....###.#.#.#.#
##.##.#.#.....###.#.....##.##.#.#..##.#.##.##.#####......##.#######..##..#.##...##.#....#....###.##..###..#.#..##...##..#...##.###.##.#.#.....#.#.#.##..##...#..#.#.#.#.#####....###...##.##......#.###........##.#.####.#.##.###.#.####.##.#.####.#######
#..#..#.###.#...#.#.#.#.##....###.##..#.#####..#######.###...##.....##..##..#.###..##.#.##.#...#####.....#####....#..#####.##..#.###..######.######..##.##.#.#.####.#.#.....###.#########..#.#.######...###.#.#####....#.#.#..#...#..##..##.###.....#....#
#####.#.#...##.##.#.#.####.#.####.###.#.#.....##.........#####..##.####.#..##..##.##..#.##.#.####.###.##..##...#.########...##.....##..#..##......#.###..#.############.###.#.........#.######....#####.###########.##.#.#.##.##.###.###.##...#.#.#...#.##
#.#.#.#.###.#...#.#.####.######.#.#...#.#####..#####.#.#.....#.###..##..##.##.###.###.#.##.#.......##.###..##.##.##.....#.###..#.#####...##..###.##...#.##....#.#.##.##...#.#.#.####.##.###.#######.#......#.####.##############.#....##..#.###.#.##.#####
#.....#.#...##.##.###.....#.#.....###.###.....##.....#.#.##.##.#...####.##..####...##.#.#..#.#.#.#.#....##..#.##..#####.....##.#..##...####.########.##..##.#.........#.#.#.###...##...........##.#.####.#....##...##.#.#.#..##..##.#.###.#######.##...#.#
####.#####.###..######.##.....##.#######..##.##..#.#.#.#.##..###.#..#.#..##....###.##.###.##.#.#.#.##.#..#.##..##.#.....##.##..#.#####.##.###...##.#..#.##..#.#.#.#.###.#.#.#...#..##.##.#####......##...#.####..#..#...#.#.##..##..#..##...#.##...###...#
#.....###..#.#.###.....##.##.#####.......###.#####.#.#.#..######.##.#...##..#.##...##.#...##.########.#.##..##..#.#.###.##..##.#..##.......#..####.##########.#.###.#########.#.##.#####.....########..###......###...###...###..#.##.##..#....#.#..######
##.#.##.####.....#.#####..##.##....#####.#....##...#.#.##...##...#..#.#.##.##..###..#.##.###....##....#..####..##.#.#...##.##..#######.#.#...###.#.###.#.####.#..##.........######.....#.#.######.#.######.##.#...#####...#...##.####..##.#.#.##.##......#
#..#.##...#####.########.##...#.########.#.#.##..#.#.#.##.######.##.#.#..#..##.#...####..#...#######.###...###########.##...##..#.#.#..#.#.#................####.##.#.#.#.#.#......#.#.###...............#.##.#.#..####.###########...###.#.#.##.#..#.####
####.##.#..###...##.......##.######......#.#.##.##.#.###.....##..#..#.##.#.##..#.#...##.##.#..##.##...##.#..#...##......##.####.....##.#.#.##########.#.##.###.###############.#.#.#.###...#.##.###.#.#.##.##.####......##.#.##.#.###...#.#.#.##.##.#....#
##....####...##.######.##.######....#.#.##.#.#..##.####..#.#######.##.##.#####.#.#.######..##.....###..#.##...###..#.#.###..##..##.#####.#..........#.#..#........#####..#.#.#.#####.#...#.###....###.#.##..#...##.#.##......##.......###.#.#..###..#.#.##
#..#.###.#.#..#.#.#.....#.#...#..##.###.#..####.#..###..##......##..###.....##.#.#....#######.#.###...##.##.#...#.##.#.#...####.##...##..#.###.###########.###.##.#.#.##.....#.##....##.##...#.#.####.#.##.##.###..#.#..#.##########.####.###.##...##.####
##.#.##....##.....#.#.#.#.#.#...##..##..##..##..##.#...##..#.##..##...##.#.##..#.#.#.##.......#..##.#..#.##.#.#.#.#..#.##.##....##.#..##.#...#...........#...#.#.........#.#.#..##.#.#..##.#.#.#....#.#.##.##...#.##.##.#....##.........#..##..##.##.....#
########################################################################################################################################################################################################################################################E#

#S##########################################################################################################################################################################################################################################################################################################
#.........##.#...##....#.#.#..##.##.#.....##...##..####.##.....##.#.#.#..##.##.##..##.#.#....#..##..#.#.##.#.#.##..##.##....##..##..##.#.##....##.....##.##..#.#.#.##..##...#.#..##.##..##.#.#...#.#.#.##.##.##...#.#..#..#.#.#.#...#...##.#.#.#..#.##.....##...#.#.#.#...##..##........#.##..#..#..#.#...##
###.#.#.#.##.##.###.####...##.##..#.##.####..#####..##...##.####..#.....###..#..##.##.#.####...##..##...##.....#..###.###.###..####.#.....####.##.#####...##.#.....##.#####.....##...##.#....#.###.#.#.##..#.####...##.#.##.#.#...###.####...#.##.#....#.#####.##.#...#.###..####.#######..##...##.##.#.#..#
#.#######.##.##........#.###..###.#.##.#..##..#.##.####.##....###.#####.#.##.#.##..##.#..#####..##.###.#######.##.#.#..#..##..##.##.##.######..##.##.###.##..#.######..#.##.########.##.#.####..##.#.#..##...#.#..###..#..#.#.#.###.#.##.#.###.#..#.######.#.#..#.###.......#####.##.#.##.##..###...#.#.####
#.##.#.#...#.##.##.#####.#.##..##...#....##..##.##..#.#..##.###.#.##.#....##....##.#..#.##.##..##...##..##.##...#...##...###.##..##.#...###.##.##.#...#...##........##.#.#.....#.###.#....##.#.##......##..###.##.#.##.#.##.#.#.#.#.#.##.#..#..##.#.#.#.##.#...##.#.##.####.#.##...........##...##.##....#.#
#.#....#.###..####.#.#.#...#..##..###.######.##.##.##.##....###.#.##.##.###..####....##.##....###.###..##...###.###..#.####...##.#..##.##.#.##....#.###.####.########....##.####.#.#.#.#####....##.######.###..#..#.#..#.#..#.#.#.....##...##.###.....#..#.##.###.#.#.....#.#.###.##########..###...#.####.#
#.####.#.####..#.....#.###.##.###........#.#.#..##..#.#####.#.#...#.....#.##...###.#..#..####.##...###.#..###.#.#.#.##..#.###.##.##....##.#....#.##.#.#.#..#....##..##.###..#.##.#.#.....#.#.####....##.....##.##.#.##.#.#.##.#.#.#######.##..#...#####.##....##..#.#.#######.#.#.#.....##.##..####.#.#....#
#.##...#.#.###...###....##.##..#..#.##.###.#.##..#.##.#.###.#.###.#####.#.##.###.####.#.##.....##.##...#.###..#.#.#.##.##.#.#.##.####.##..##.#####..#.....##.#####.##..#.##.#..#.#.#.#.###.#..##..##..##.####..##....#.#.#.##.#.#....##...###.###.#..#...####..##.#.#.##.#.#........##.###....##.#......####
#.####.#.#.#.##.####.#.###.##.##.########..#.###...##.#.#.....##..#.##..#.##.#.#.##...#..####.##...###.#...##.#......#.#....#.##.#.##.#..##..#...##.#.######..##.#..##.#.#..#.##...#.#.......##..####.#.....##.##.####.#.#....#.#.#######.....#.....##.###.###.##......#...###.##.#..####..#.##....##.#....#
#..#.#...#....#.##.#.####..##.#...#####.##...#.##.##..#.#.#######.#.###......#...####...##....###.##.#.#.####.###.####.####......#.#....###.##.####.#.#.##...##..#.##....##.#..##.####.#####.###.##.###.######.##...#......####.#..#.##.#####.###.###...##.#.#..####.###.####...#.##..##..#######.##########
#.##...###.######.....#.##.##...#...##...###.#.#...##.#...#.##.#..#..######.##.#..###.#..####..##..#.#....##..##....##.#.#####.###.####.#.#.....##..#....##.####....####.#....##...##.....####.#..#..##.#.#.#...##.##.###.###.#.#.##.##.....#.##..##..#.##...#.##.##..#...##..#.###..###.######......#.###.#
#.####.##...##.#..#.###.##.#..#######..###...#.###.#..#.###..#.##...##.......#.####.####...###.#..##.####..##.####.##..#.#.##...##...##.#.#.#######.#.####..#.#####..###...#.####.##..#####.##.#.##.###.....##.##.......#.#.#.........#.###...#..###.######.##.##.#..##.#..##.########....##.#..##.#.#.#...#
#..##...###.##.####.##...#.#.##...####.#.###.#.#.#.#.##..###.#.###.########.##..##..###..###.#...##...##..###.......##.#.#.#..#.##.#......#.#.#..##.#.#.###...#.##..##...######.#..##...#.#.#..#......####.###.###.########.#.###########.###...##.#...##.#.##..#.#.##..####....#.#..###.##....#######...###
#.#####..##.#...##...##.##.#.##.###.#....##....#.#.#....##...#.#.#.#.#.##.#.###....##.#.##.#...#..###.###...#######.##.#.....############.......##.......#..#...##.####.#####.#...##..###.#.##...######.##.##..#........##......#.##...#..####.###.#.#.##.#.##.##....##...##.####...##.#.#..#####.#.##.#####
#..##...##..###.#..###..##.#.....##.#.########.#.#.##.######...#.#.#.#.#......##.####.#.#..#.###.###...##.###.......##...###...##.##..###.#############.##.#######..##...#.#..#.#....###..#..###....##..##.###.##.#######..#.##.#.###.##.##.#...#....#.#..#.#...#.#####.####.##.##.###.#.#.##...#.#........#
##.###.###.##.#.##...##.#..#.###....#..#.#.#.......#...#.#...#.......#.###.####..#.#....#.#####..#.###.#....#######..###...##.###.#..##.#..##.##.#.###.......#.#.#.##..#.#...##.##.#.#.##.##..##.######.##..#..#....#.#.####.####.#.#..#.#....###.####.##.#.#.###........##.....##.#.#......##.##.#.####.#.#
#....#.#.#..#.#.#..###..##.....##.###.##.#.#######.#.###.##.###.####.#.#.#.#..##.#.####.#..##.##.#.##..#.#.##..##...##...######.#.##....##..#.#..#.#.##.#.####...#.###.###.###..####...##.##.###.##.##..###.##.##.###.#..##...##..#.##.#.####......#####.......##.###.#.###.#####..#.#.###.##.....#.#.######
###.##...##.......##.##.#..##.#######......##..#.#....##..###.######.....#.#.###.#.#.##.##.##.##....##.#.#####.####..###.#.#.##.#..###.####.....##....#.####.#.###.#.#.###...####.#..###..##.#.#.#..###..#..##.#...##...##..#####...##.#..###.######..######.####.#.###.......#.##.#.#...####.#####.....#.##
#.#.#..##########..#.##.#.######.##...########.#...##.##.###..##.....#.#...#.##..#.#....##..#.##.##.##.#..#.#...####.......#.##.##......#.##.####..####..#.#.#.##..#...#.#.###.#....###..###.#.#.#.##.##...##..#.###..###..######.#.##.#.##...#.##.#.##.#.#..........#######.##.##.#.#.###....#.#.#.###....#
#.....#####.##....##.......#.##...###.#.#.##...###..#.##.#.##..#.#.#.####.##..##.#.####..##.#.....#.#....##.###....#####.###.##..#.###.##..#.###..##.##.##.....##.##.###....##.##.###.##...#.......##.##.#####.....##.#.##.##.##..###..#.###.##......##...#.##########.#######..##.......##.###.#.#...######
###.#..#.#..#####..#####.###..##.##.#.#.#..##.##.#.####....##.###########.##.##..#.#.##.##..##.#######.###...##.#####.##.###..##.#####..##.....##.#......#.#####.....#.###.###..#.##...#.#...####.###.#..#.##..#####...........#.#####.#..##.###.###..###...........##.#.....#.##..#####.#...##.#.#.########
#####.##.##..#.##.##.....#.#.##...#.#...#.##..##...#.###.###...##.####.#...#..##.#.#.#..###..#..#.##....####..#.##..#.#......###.##..##..###.###..#.######..##.##.##....##...##....#.#####.#..#####...##.#..##...#.##.##.#######..#.#....###..##.#.####.##.####.##.##....#####..##.#########...............#
#..#...#.###.#..#..##.##......##.##.##.##....#####.#..##...#.####..#...###.#.###...#.##.#.#.##.##.####.##.##.##..##.#.#.######....##....###..#.##....##.##.###.....##.######..###.##.#.##..##...#####.##...#####.#.##.#####...#..##.####.#.##.##.#..##..##....#.####..##.###.##.##........##.######.#.#.##.#
##.###....##.##.#.#####..###.##...#.#...##.#..#.#....##..#...##.##.#.###.#.#.#.###.#.#..#.#.##..#.#.#..##..#.##.##....#.##..##.##..####.#.##.#.#..#####..#...##.##..#.#..##..##....#.#.#..####.##.#...#..#...###........#.##.##.###..#.#.#.##.##.#.##..##..######.##.#####.#.......########.....############
#....####.......#..#.#..####.#..###.##.######...####.#######..#.#.....#..#...#.#.#.#.##...#....##.....####.#.##..###.##..##..#####....#.#.##...##.#.#.#.##.####.########.#..######.#.....########.###.##.#.###.#.##.#####.##..#.#.##.......##.##.#..##.#..####.##....##.#....###.#..###.##..#.#......#.#####
##.#...##.#####.#.##.##....#.##..##.##...##.#.#.##.#...##.#..##.#####...##.###.#.#.#.#..###.##..#.###..#.#...##.####.##.##..###..#.##.....##.#...........#.#..#...##.##..#.#####.....########.#.#.#.#.##.####.....####.#...#.##.#.########.##.#..#.##..#.###......#####.#.########.##.#.#..##.#.######..##.#
######.######.....#..#..########..#.##.####.#.####.#.####.##.##.#.#####.##..##.#.#.....##...#######...##.###.##.......#.#..##...##..###.#.####.###.#.#####.#.##.#.##.###.#.#.##..#.#......##....#.#.......##..##.###.#...###........###.....#.#.##..##.......###.####...#.#......#.##.#...#####....##..##..#
#.#.#...##..#####.##...###.##..##.#.#..###.....##.....##..##....#.#.###.#..##..#.####.#####..###.####.#..#.#..#####.#...#.###.###..######..###.#######..##....#.####.#...#.#.#..########.#####.##.#####.#####..#.#.#.##.##...########.#.###.#.#....##..#######.###..###.#...#.####.##...############..###.##
#.#.##.###.##.##..##.###....##.#......##.###.#..##.####..###.##.#.#.#.#.##..##....##...#..##.#...#.##.##.#.#.##.##..###.#.#.#...#####..##.##......#.#..###.##...##.#.###...#...###########.##..##........##.#.####.#.#..##.###..##.##.###...#.#.######.#....##..###..#..#.#############.##.##.#######......#
#......#.#.#...##.#..#.#.####..####.###....###.##..##.##.#.###......#.#..##.#####..###...##....###.......#...##.#####...#.....#..##.##.#..####.####.##.....##.###..#.#.###.#.###.#.#....##.#..#########.##..#.#.#....##.##..#..##..##..#..#......##.#....####..##...##.##.##.#...##.##................##.###
##.#.#.....###.##...##....####.##....##.######.##.##...#.#..######.##.##..#..##.#.##.##.##..############.#.####.#..##.#...##.#####.....#.##....###...#.########.##.#.#.##..#.........#####...##.#...##...##.......#.###.###.#.##..####.#######.####.#.####.#..##..####.#..#....###..#..##.#.##.##.##########
########.###....#.#..##.###.#..#####....##......#.##.###...##..##..##..##.#.##.......##.###.#.##.#.##....#..#.#.##..#####.####.###.#.#....####.....#.#...##.##..##.#.#.###.#.#.#######.##..###..#.###..#####.###.#####..#.#.#..#.##.#....##....##........#...###.###.#...##.####.##...##########..##..#.#..#
#.#####....###.####.##...##.##.....##.###..###.##.##.#.#.#####..##..##.#....########.#..#......#.#.###.#...##.#..##..##.....##...#####.##.###..#######.###...##.#..#.#..##...###.#.#...###...##.#.#.##...##...#####..##.#...##...##.##.#######..##.#######.###.#.#.#.#.###...###..###..#.###.########.....##
#..#.#..####.#..##..####..#..####.##..#.####.#.##.........#..##.###......##..##.##.....##.######.#.#.#####.#..#.####..#.##.###.####.#####.#.##.#.#.##......####.##.#.#.##..#.........###.#.###..#.#.#..######...#.##.##.##.####.##.......#.#...###..##.##..................###.##..#..##..#.....##....#.#..#
##...##..##..##.###..####.#.##.....##....##..#.##.##.#.##.#.##..#.#.####.#..###..###.####...##........#.#..#.##..##..#####...#.##.#..##.#...##.#...#..##.###..#.##.#.#.#..##.##.#.######.#.#.##...#.##..#.#...###..#.#..#....##.###.######...###.##....#..#.#.#.###.#.######.#.###...###.##.########.####.##
####.#..##..###...##......#..###.###..######.......########.###...###.####.##.##.##..##...#####.#######.##....##..#.####.##.##.##.#.###.###.##...###.#####.##...##.......###.####...##........###....##...##.##.#.##.##.##.####.#.#.#.#..###..##....####.######..##.#........#.#.#.####.......#.##.#.#.#####
#....##.###...###..###.##...##.#...##..#.#.#.#.###.##.##.##..####..##.#.#...#.##..##..###..#.##..##..##..##.#####.#..##...#..#..#.#.##.......##.##.......#..###.##.###.#...#.#.#########.#.#########.#..#.#...#.#.##.#..#.....#.#.#.#.#.##.##....#.##.##.#.####.#######.#.####.#...#....##.####..#.#....####
####.#...###.###..######..####...#..##.....###.#.###..##.##.##.##.##....###.#.##.##..##.#.##.###..##..##.##.##..#...#####...##.##...####.#.#.......#######.###.......#.#.#####.#.#.#.#.#.###..#.##.....######.#.#.##.##...##.##.......#.#...#.####.##.##....#.######.##.######.#.###.#######..##.....####.##
#..#.##.##.#...##.#..####....###.##..###.####..#..###..#.##.#..#...###.####.#.#..###.##....#.#...###.##..#...##.#.####.#..###..####..###.####.####..#..##..#...#############.....#.#.#....##.##..###.###.#.#..#.#.##.###.############...###.#....###..##.##....#.##...####...#.#.#.#....#..##....##.####...#
##.#.....#.#.#.#....##.#..####.#..####.#..##..##.##...##.##.##...#.#......#.#.#.##....#.####...###....##.###.##.#.#..#.##.#.##..##..##.####.#...###.#.####...#.........###.##.####...#.####...##......##...##......#...#..#.#.####..###.#.#...#####..##...######.###.###.#.#.#.......####.###.########.#.###
#..#####.....######..#.##..#.#.##..##....##..###..###.##....#..#####.##.#........###.##...####..#####.##.....##.#.#.##.##.#..#.###.##..##.....###.###..##..#####.##.####...##.##.###.....##.######.##.####.#..######.###.##.#.#..##..#....###..#..##.#..#...##.#..##.#.#.###.##.##.#####...#...#.#.#.#.#...#
##.##..##.##..###.##.#..#.##.#.#..####.#####.#.#.##.#..####.##..#..#########.#####.#..#.###.##.##.##...#.#.####.#...##.#..#.##.#.#..#.#######.#.#.##..##..###.############.##.##.####.####....##....###.##.#.##..#.#.#....#.#.#.####.###.##...##.##..#.######....##......##...#..#.###.##.##.###.#.#.....###
##..##.....##..#..##.##.#.##.#.##..#.#..##.#......#.##..##...#.##.###.#........#.#.#.##.#.#.#..##.#..#####..##..#.###..##.#..#.#.#.##..##.#........##.##.##...#...##...##..##.##.#.#...####.#######..##.......##.#.#.#.####...#..##..##..####.#...##..........####..##.###..#...####.#.##..#.#.#.#.#.#######
#..##..#.#####.#.##..#..#.##.#.##.##.#.##....#.####.##.#####.#.....#..########.#...#.#....#.##..#.##...##..####.#..###.##...##.#.#..#.##..##.##.####...#..#.###.#####.####.##.##...##.##.#...##...##..######.##...........###.#.####..##..#.#.#.###..###########.##..#.###.######......##.##.#.............#
##..######.#.#.#..##...##.#..#.#..##....##.#####..#.##....##.#.#####.##........#.#.#...#.##....##.#..#.###..##..#.##.#..##.##......##.##.##..##..##..###.##.###...#.#..##..##.####.....#.###..###....##.#.#..#..##.########.#.#..##..####...#....##.##.#.#.#.#.#.##.####....##.#####.###..#....#.#.##.######
#..##.#.#....#.##..###..#.#.##.##..###.###....###....##.#..#.....##...##.###.#####...#######.#.##...####...####.#..#.#.##...##.#####..##..##..#####.##.#......#.###.#.##..##..#.######.#.#.##...####.##.#.##.##.##..#.##.##...#.##..####..#...####...........#.#.##.###..####...##.#.#.##.#.########.....###
##.##...####...##.##.##.#.......##.#.#...#.####.#.########.###.####.#######......###.##.#..###..###.#.####.#.##.##.#.#..###..#...###.##..##..####.#..#.#.#.####.#.#.#..##.##.##.#.##...#.#..#.####....#...##.#...####.....##.##.###..##..######..##.######.###.#.....#..##.##.###......##.#..####.########.#
#...##.##..###.##.##.#..#.#.###..#.#.#.#.....##.......###..#.#.##.#..##.#.##.#####......##.##..###.....##....##....#.#.##...##.###...###.###..#.#.#.##.#.#####..#...#.##..##.##....###...##...#..####.##.###.#.####...#####......##.####.#.#.##.##...########....###.#.##.....###.##.####...##.#.........#.#
###.##..#.##.#.#...#.#.######...##.#.#.####.###.#.#####.##.#.#.##...###.......##.###.####...##.....#########.###.#......###.##.....###.#.....##.#.#.#.....##.##...#.#.##.###..###.##.#.###..#...###.#.##.##..#....###..#.#..#######.#..#.#.#.##..###........##.###.#.#.##.#####.####..#...#..#...####.#.##.#
#....##.#.#....###...#..##.##.#.........#.###...###.#.#.#..#.#.##.####..#####..#.##..##.#.#####.##.#.##..#....######.####.#.##.###.#...#####.##.......#.#..#.####.###.##.##..##...##....##.#######.....#.###...#.##.##.....###..##..##...#.#.##.##.#.#########.#.#.###..#..#..#..#.#.##.####...####.######.#
####.##.#.####..####.##....#######.##.#....####.###.....##.#...##..#.#######..##..##....#.##..###.....##.####..##......##....#...#####.#.#.#..##.##.#.####...#.#...##.##..##..##.#####.##.....##...###.....##.#####.###.####.#.####.####...#.#.............#.#......##.##.##.##.##....#....#.#....#..#.#.#.#
#.......#.###..##.#...#.####.#.#....#.##.#..#.#...#####.##.#.#####.#..##...##.##.####.###..##..###.####..#.##.###.###.####.#...####.#..#.#.##.##..#########.##.###..#..##..#.##...#.##..##.##..########.#####.#.##.......##.....#.#..#####.....#.#.#.#######.##.#####............#.#.##.###########.##.#.#.#
###.###.#...##.##.###.#.#.#..#.###.##########.#.#..##.#.##...###.#.#.#####..#.##.####.#.#.####........##.#.#....#####...##.##.##..#.##.#.#.#...#.###.##.#.####.#.##...####....###.#.#..##...#.##..#......##......##.#########.###.##.#.#.#.############.##.#..#.......#####.#.#.####.#...............#.#.#.#
#.###...#.###...#.##......##.#.#.......##.#.#.#.#.##.....##.##.#.#.#....###.#.##..##..#.#....#####.#####.#.#.##..##.##.##..####..##.##.#.#.###.......#.....#.#.#.##.####.#.####.......##..#######.####.#..####.###....###.##...##.##.#.#.#...##.###.#.#..#.#.##.#######..########.##.#.####.#.##.##.##...#.#
#...###.#.##..#....####.###....#.#######..#.....########.#...#.#.....####.....#..##..##.#.####.#.#...##..#.###..##........##.##.##..#......#.#.#####.#.#####...#....##.#.#....#.#.#######..#.#.#..##.####.#..#.#.#.#.##...###.##..##.#.#.#.###...#..#.#.##..........#.##.#..##.##.##......##############...#
##.###.....####.##.#......###.##...#.#.#.##.#.#..#.##.##.##.##.####.##..#####.##.###.##.#..#.#.#.#.#####....###..#####.##.##....###.#####.##.#.....#.......#.#...##..#.#...######....#.###.....##.##......#.##.#.#.####.###.#..##.##.#.#.#...#.###.##.#.##.##########......##..#..##.###.###.##.#..#..#..###
#....####.##.#...#.#####.###...#.#...#.#.##.####.#.##..#.....#.#.#...##.##........#..##...##...#....##.#.####...##.##..#####.####.#....#.......######.########.#######.##.##..##..####.#.##.####..#######.#.........##....#.#.##..#..#.#.#.###..##..#.#...............#.#.####...###..####.#..#.##.#.##.##.#
#.##...##....##.######.#.#.###...#####.#..#.##.###.###...###.#.#.#.####..########.##.##.######.##.####.#..##..#.#...##...##...###.####.#####.####..##......##......###..#..##.###.#.##.#.....##..##.#..#....####.#######.##.#..##.#.##.#.#.#.#.##..##.#.###.###.############.#.#...#.##.##.#.##.##...#.....#
###..#######.##.#.##.#.#.#..###.####.....##..#..##...###.#.....#....##..##..##.....#.#...#.##..##..##....######.##.##..#####.##.#..##.....#..##.#.###.#.######.###.#...##.##...##.#....#.###.##.##..##.####...##..###.........##....##.....#.#..##.#.....##..##.......##.#.#.#.#####.#..#..#....##.###.##.##
####..##.#.#.#....##.#.#.##.#.#......#.#..#.##.#####..##.##.##...##..##.###..#####.#.###....##.##.######..##.#..##..##..##.#.##.#.#####.#...##......###.###.##...#####.##.##.####.#.######.........##....###.######.#####.#########.#..#.#.....###.#.###.##.##..#.##.##....#.#..##.#...##.##.####..#.#.#####
#.###.##.......##.#.......#...#.########.##.#...#.##.#####..####.###.....##.###.##...##..#.##.....#.#..##.#..##.#..##..##..#.#.....##.#####.#..#.#.######.#.#..#####...#..##..#.#.....#.#####.###.####.#..##.#####..#.#.....##.#.##.#.##.#.#.####......###...#########..####.#.##..#.###........##.#....####
#.....#####.#.#######.#.#...#........######...###.##.##.#..##....#...#####..#.#.###.####.####.###...##.#..##....##.###..##...#.#####..##.##...####....###.#...###..###.#.####.#...#####..#.##.#.####.####.#...##.##.#.###.###....##...####.#.##.#.##.#..##.#...#.#...##..###....##.#.#...##.#.###....####.##
#.###.#.#####.#..#..#.#.#######.######..##..####...#..#.############....###.#.#.#.#.#.##..#.####..###..#.####.#..#.#.#.###.###....##.##.....#..########.....#...#.##...#.##.#...#.#...##...#.....#.#.#..#.#.###...#.#.....#.####.####....###.......#.#########...#.#.##.##.##.####.....######..###.###..#..#
###.#.#.#.##..#.##.##.######.........##..##..#.###...##..##.#.###..#.####...#...#.#.#.#..##.##.##...##.#.#.#####.#...#.##..#.#.####...#####.##....#...###.#######..###....#.##.##...#.####.##.####...##.#.#..##.###.##.##....##...#.#.###########.##..##.##..#####.####..#.##.###..###....######.#.#.#.##.##
#...#.....###.#.#...####.....##.######..##..##.#.###..##.##.....##...#.####.##.##.#.#.##.....#.#..###..#.#..##...##.##.##.##.#....##.##...#.#######.###...#...##..##.####.#.####..#.#.#.##.....###.#.#..#.#.##......########..#.###.#.#.##..###########..##.###.....##..##.##...##.####.###..##.........#.##
###.####.##.#.....####.####.##..#.#..##....###.#.#.##..#..####.#####.....##.#..##.#.#.###.##.#.##...##...#.#####..#.##..#.##.#.#####.####.......#.#...###...###..##..###..#..##..######.#####.##.#.####.....##.######.###..##...#.#.#....##........##.##......#.#######.......####....#.....#####.###.###..#
#.#..#.#.##.#####....#.#.######.....###.##.##..#.#..##...##..#..#.#..#####..##......#.#.#.####.##.######.#..#.###.#....##.##.....##...###.#######.#.###.##.##.##..##...##.##..##.#.#.#...##.#.##....#.####.###...#.#...#..#####.......##....#.#.#.##...#.####........##.#######.#..#.##.#.###..##.#####.#.##
#.##........##..#.####.#.#.##...######..######.#.#.####.####.##.#.##.##..##.#####.###.#.#.#.#..##.#.##.....##.....####.##....#.###..###...#.#.##..#.#...##.##..##..##.##...#.###.....#.###....##.####.##....#..###.#.#.#.#####..###.#####.#.#.########......##.#.#.####.#.#.#.#.#.#########.#.##.....##....#
#..########.###....##..#.#..###....#.##...#.##.#.#.#.#...##.....#.##.#..##..#..##.#.#.#.#...##.##.#..##.##..#####.##...#..##.#.####..####......##...#.####.##.###.###..###....#..#####...####.##.##...#####.#.###..###.#.####..##...##.#########.##.#..##############.#.#.#.#.#.....#.##.#.......#.#....##.#
#.###..#.##..#####.###.....##.#.####.#..###.##.....#.#.########.#.#..#.####.##.##...#.#.##.##..##...###..####.#....###.#.#####.#.#..##..#.####..###.#..##..##.#.#.#.#.##.##.###.####.###..##........###.#.......##..#..#..##..#####.........##....#.##.##.#.#.#.##..#.#.#...#.#.#####.##.#.####.#####.######
#...##...##.##.......###.###......##.#.##.#..###.###.#..##.##.......##..##..##.##.###...##.###.##.####..###.#.####.......##.####.#.####......####.....####.##.#.#...#.#..##..##.#..#..#..########.#.##..###.#.#####...##.####.....#########....####.#............##.#.#.#.###.........##....#####...#......#
#.######.#...###.##.##....######.##..#....##..#...##.##..#.######.#####..#.##...#...##.##...##.##..#.#.###..#..#.###.######..##..#..#.##.######.###.###.#..#..#.#.###.##.##.##....##.##.##.#.#..#.#..##.#...#####.###.##.##...###########.######....##.#####.#.#..#.#......#..#########..##....##.###.###.##
#.###....#.####...#######.#.##....##...####..##.####.##.##..#.##...##.##...##.###.####..###..#.##.##...#.##.##.#..##...##.#.####.#.##.#.....#.#.#...#...##.##......##.#......#.#####.##.##.#.##.####.##.###.###.#.#....#..###...#.#.....#.##...####.##...#.###.####.#.###.##.##.#.#.#.##.#####......#...#..#
#.#.####.#.##.##.####..........####..#.#..##.#...##......##.#.###.##...#.#..#..##..##..###..##..#.#..###.##.##.##....###..#..##....##.##.##.....#.#...###...#####.###.##.##.##.#.#....#......##..#.#.##.....#.#...#.##...##.#.###.#.#####..##.###.#.#..###.######.#.#.###.#..#....#.#.#....###.###########.#
#.#.#....#.##.##..#.####.#####.#.##.####.###.###.##.#######....##..##.#####.#.##..####.##..###.##...##.#.##..#..####.#.##...###.#.###.##.####.#####.###.##.##...#..#..##.####......####.########......#.###.#.#.########.##.....#....##.##..#.#...#...###....###..#.....#.##.#.####.#...##...#.....#.###.###
#.#.#.##....#..##.#.#..###.....#.##..##..#.#.##...#...##..###.####......##..#..##.#.#...##......##.##....##.##.##..#.#..###...#.####..#....#####.#....#..#.####.##...##....##.#.##...#....###..#####.####.#.#.#.#.##..#..#####.##.#####....##.#.###.###.##.###.##.#.########..........######.#.##.##......##
#.....#..##...##....##..######.#..##..#.##.#.##.#.#.#####...#.##.#.####..##...##..#.##.##..#######..##.###...#.###.#.#.#####.##..#.##.#.####.##..#.##.#.##..##.....#######.####..##.##.####...##......##..#.#...#.###.##.#.#.#.#..#...#.##..#.#.#.#..##.##.##..##.#......##..######.#..#...#.#######.####..#
#.##.#######.######.#..##........##..##.##.#.##.###...#.###....#.#######..###..##.#.#...##..##.#.##........#.#..#..#.#..#.#..#..##.##...#.##.##.##.####..##....###.##.#.##..##..#####...#.##.########.###...#.###..#..##.#.#.#...##.###.#####.#.#...###.#...##.##.#.######..##########...###..#..##....#####
#.#..##.......#..##.##..####.#.#..#.##..##...##.##..###.###.##.#.##...##.##.##..#.#...###..##....##.###########.##.#.#.##...##.###.##.###.##.##..#.#..##.##.#.##....#.#..##....###.#..###.#..#.#.#.##.#.##.##...##.#.###...#.#.###...#....#.#...###..#....#....##.....#..##.##.....##..#...##...###.####.#.#
#.#.##..#.##.##.##...#.##.#######......##..###...#.###....####.#.#..#....#...#.##.###..###.##.####.....###..##..........##.##...#..##...#.#...##.....###.##########.#...##..#.##.#.#.##...#.##.#.#.#..#.#..##.###......###.#.#.....###.####...######...#.#####.#..#####.##.....###########.####......##..#.#
###.#..##.#......###...##.#.##....##.#####...##.##.##..#####.....#.#####.###...##.##..##...#...##..#####.##.#######.#.#.#..###.##.##..###.#.###..######.....###.##..#.#####.####.#.#..#.###.##.#.#...##.#.###...##.#####.#.#.#.#.#####....##.##.#.##.#####.#.####.###....##.#.####.####..#....##.##.####...#
###############.###..#.#..#.#####.#####....###..##..##...#.#####.####.#...####.##.###.####.#.#####..#..#.#...#..##..######..##.##..##...#.....##..##..####.##.#.##.##...#.#..#.#.....##.##..##.#.##.##....#.#.###.....##...#.#.####....####...#.#.##....#.....##..#.#.#####.###.....#.#.#############.#..###
#..#.#..##.##.....##.####.#.#.#.#...#.##.#..###..##.#..###.##.....##..#.###.....#.#....##..#...##..##.##.###.#.##..###.#.##.##..##..#.###.#####..###.##.....#.#....#..###.#.##.#.###.....#.##..#.##..####.#.#...###.######..........######..###......####.######.##.#...#.#.....#####.#.#.#....##..##.##...#
##.#.##.#.....#.#....##.#.#.#.....#.#.#####...##....#.##....#####..##.#.#.#####.#.###.##..##.#####.##.....##...###.##..#.#...#.####........#.#..##.#.#####.##.##.#...##.#.#.#.....########..##....#.##.#....###.#.#..####..########...#..#.###..######......#.#...#...###.#.###..##.#.#...#.#.##..###.#..###
#.......#########.##......#...#######..##.#.###..####.#..####.#.#.##....#.##....#.#.#.###..#..#.##..###.######..##.###.#.###.#.##.##.####.##...##.....##.#.##.#####.##........#.#...#.##...####.#......#.####...#.##..##..###..#.##.###.##.##..##....##.###.#.##.##.####......##......#.###.###..##...##...#
####.##.#.##.#..#########.###......##.##....#.#.###...#.##.##.....#####.#.#####.#.#.#...##.#.##....##...##.##..###..##.#..##....#.##...####..###..##.###.#.##..##....#.###.#.######.#.##.#..#.#####.##......#.#.#..##..##.#.#.##.####...##..##..#.####....###.#..##..#.##.##.###.#.####.#.#...##.##.####.###
#..###.....#.#.####.....#..#..#.#.###.###.###...#.#.###..#.######...##..#..##.#.....###.##.#..#.#####.####..##.#.#.##..#.####.###.#..###.##.##.#####.##.....##.##.##....########.####..#.####..#....####.######.#.##..##..#........##.#..#.####......#.#####..##..#.##.#...#.#.#####.#......###..#...##....#
##.#####.#......#.#####.##.##.#####.#..#....##.##.....#.##..#.##..#####...##..###.#####.#..##...#.##...#.#.##....#.#..##.##.#.###.##...#..#.#...##....###.###..#####.####..##.#..#.##.##.##.##.######.......##.....##..##.#.######..###.##..#.#.######..##.##..#.##....#.#####..#.#....######.##.##.##..####
#..#.#.########....##.......#..#.##.##.#.#####.#..##.##.###....#.##.#.###.#..##.#..##...##.##.###.####.#.#..###.##.##.....#.#.#.#..##.##.##.#.#####.#.#.#.#.#.##.#......#.##....##.##..#.#..##..#..####.#######.######.#..#.....######..##.##...##..##.###..##.#.#..#.##.##.##.##.##.###.#.##..#..#.##.##..#
##.....##.....####....#.#.#...##..#.#..#.###...##.####...###.#...#..#.#.#.##.##...####.##..##.#....##..#...##......###.####.#.#.##.##..#.##....#.#..###.......#..###.####.##.####..###...#.####.##..#.#.....##...#.#.#.##.#.#####.#..##.##..##.####......#.###.#...##.#........##.##.#......#.##.##.##.#..##
####.#..#####.#.#####.#######..#.##.#.##...##.###..####.##.#.###...##.#....#..###..#.#.##.###...######.##.##..######....##..#.#.##.##.##.##.####.##...#.####.##.##.#.#.#........##..####....#.#..##.#...#######.##.....##.#....#..#.##...##..#..#...######.#.#.#.######.####.#.........##.#....#.......#.###
##.####.#.#.....#.###.##.#.###...##.#..#.####.##..##.##..#.######.##..####.##.#.#.##.#.#....##.##.##...#...##..#..####.####......#.#..#.......##....######......##.......########..##.###.###...###.###....##.#..#.###..#.#.####.##.##.###..##.##.####.#...........#.##.######.#.#.##.######.###.##.#.##...#
#...#...#.#.###.#.#.###..#.....####.#.##..##...##.##.#..##..##.#...##..##..............###.##......#.#.##.###.##.##.##.#.#..######.##.#.#######..#.##.##.###.##.#..#.###..........##..#...#.##.##...#...####..#.####.##.#......#..#......##.##..#..#.#.#.######.##...........#.########.##.###...######..###
###.###.#.####.......###.#####..#.#.#..##..#.####.##.#.##..##..###.###....#.#.#.#.##.###...####.######.#..##...#.#..##...##.####.#.##.....###.#.#####.##...####.#.######.####.#.#####.###.#.##.####.###....##.#..##.......##.###.##.#.####...#.##.##.#.#..##..#############.#####...........####.#.#.###.#.#
###..##.#..#.#######.#.#..##.##.#.....####.#..#.#.##....##.#..##.#..###.#.#.########...###..##..##.##..##..##.##.#.##..###..#....#.#..###...#....##.#.#..###....#.#.##.##########.##..###.#.#..#.#...##.#####...#######.#.#####...#.###..###.#.......#.#.###.###.###.#....###.#.#.###.####.##......#.#.#...#
#.##.#..##...#.###...#.#.###....##.####.#....##....#.#####...##..##..######.##.##....#..#..####.....##.#..##...#......##.##.#.####.#.##.#####.####....##...####.#.......#....#.#..###.#...#.##.#.##.##....#.#.#####.##..###.#.##.##.###.##.#...#######.#...#...#.#.#...##..#........#########.####.#.#.##.##
#.#..##.####.#.#.###.........##.....##..##.###..#.##...#.###.###..##......###...####.##.#.###.###.###....####.##.######..#......##...##.##.##.#..##.###..####.#.#.#######.####.##..##.###...##.#.##....####.#.#.##...#.####...#..........#.#.#####.#.#.#.###.###.#.#.#######.####.####....##....####.#.##..#
#.##.....#.#.......######.#.#####.#..##.#..###.#####.###..#...#..##..##########....####...#.#......####.##.#..#.....#.##.##.########.##....#..##......##..##.................#.##.###..##.#.#....#####.###..#.#..##.##..#.#.###.##########...........#..........................#####..#####.####.##...##.##
#..#####.#.######.##.########..#####.#..#.##.#.#.##..#.##.###.#.####....##....####..#.#.###.######..##...#...##.#####.##.#....#.##...#..####.##..########..##.###.#.##########.##.##..##..######..##...#.##.#.##.#..#..##.....#.....##.#.#.#####.#####.##########.#############..#..##.#.##..##.#..###.....#
#.##.........##......#...#.###.#.#.#.#.##.#......#..##.##.##......##.##..###.##.#..##....##..##....#####.#.###.....##.##.#.####..###.#.####..###.#.#.#.#..##..#######.....##.#.##..##.###..#.#.##..###...##.#.#..#.##.###.#.#...#####........#.######....###....#.............##...###.#.###..#.#.##.##.####
#.#########.########.###....##.........##.#.###.##.##..##..##.##.##..#####.#.#....####.#..##..####.#.##.....###.####..##.#.###..##...#.##.##.#.#.....#.##.###...#####.#.###....#..##...##.##...##.##.#.#.#..#.##....#.....###.#...#.#.##.#.#....##....####.#.#######.##.#.#####..###.#.#..###...#.##.#..#.##
#.#..##.#...#.##.....##..##..####.###.##..#...###.....##..##..######.#.##....####...##.##....##.#....#..##.##.#.#..##.##.....##..#.#.......#.#.#.###...##..##.###.#.#.###.#.##...##..####.####..#.#..###.##.#..#.##...#.#...#.#.#......######.#....##..............#..#.#.###.##..##.....##.#.###..#.##.#..#
#.##.#..###.#..#####....####..#.###....##...#...##.######.###..##.#....###.#...##.########.#.##.####...##..#....#.##...##.####..####.#######.......###.#..##......#.#..##....######.##.#....###.#.##.##...#.#.####..#######.#############..##.#.#.###.#.#.##.#.#.#.######......#.######.##.....#..##.##.#.##
#..#.##.#.#.#.##..###.#..#.##...#####.##..########.#.#.##...##..#.##.###...###.#...##.#.##.####.##...#########.##..##.##..#..##.#.#..##.##.#.##.##.##..##.###.#####.#.####.####...#..#.####..##.#.#...#.#.#.#.#..##.##.#.#####..##.##.....#####.###.#.#.#..##########...#.##.###.##......#.#.###.###.##....#
##...##........#.##.####.#..##.##.....###.##.#.##.......###.###...##...#####.....####.#.#...##..##.#..#.##........##..##.##.##....#.###.##...#####..##.#..#...#.##....#.##.##.###...##.#.#..##..#.##.####.#.....##.......#.##..##.....##.##.###.....#####.###.#.#.#.#.########.#######.#...#.#........#.####
####.##.#.###.##.....######.##..#####.#.#.##.#.##.#########..##.###..#..#..#####.##.#.#.###..##.####.##..#####.#####.###..#.#####...#.#..#.###.#.####..##...###..#.####.##..#..####.##...##.#..##.#...##..##.######.##.#....#.###.##.###..#.#.#.######.##..#...........#.#......#.#.####.#####.###.##......#
#.....###.#....#####..#..##.#..##.#.#.#...##.#..#...#..#..#.##..#.#.###.#.##.#.#.#..#.#.....##...##...##.#.##......#.#.##......####.#.#.##.##..#.##.#######..###...#.##..##.#.##.##.##.###....###...#..##..#..#.##...######...#.#..#...####.#.####.##...##...#.#######.....######.....##.##.#....#..###.#.##
####.#########...#.#.##.##..##....#.#...####...##.###.##.##..##.#.#..####.##.#...#.##.####.#####.###.##....##.#.####...#..#.####..#.#...##..##.#..#.#.##..##..#..###..#.##....##....##...#.####.#.#.##.###.#.##....####.##..#.....###.###.#....#...##.#####.##.......###.#.#.#..###.###.......##.##...#.#..#
#........#.#...#.....##..##.##.#.##.##.##..###.#..###..#.###.##.#.#.##.#..##.###.#.##..#....#.##.#.#..##.####.#..###.###.####..##.....#####.##...##....##..##.#.##.##.#.##.####..#######.#...##.######.#...#....##..##...##.##.##..####...#.####.####..##.#####.#.#.####.###.#.###..##..###.###..###.####.##
###.####...#######.#####.....###.....#..##.#...#.##.##.#..##.##.#...##.#.##.........##...##.#.#....##.#.....#.##...#.#.#....##.####.####..#.##.###..#####.###.#.##.##.#......###..##.......###...#.##..###.#.##..##....#..####..#.##.####.#...#...#.#.##...#.######..#.#.#.......##..##.#.######...#.#.##..#
#...#.###.##..#.#..###.####.########...##..###...........##...#.#.###..#.##########.####.####.##.####...#######..###...##.####..#.#....##.#.#......##.##...#..#..#..#.#.######.##..######.######...###..#.....#.##..#.###..##..##.##..##....###.###.#..#.###..##.#####.#####.###.##.###.#..#...##.##...##.##
#####.#.#.##.##.##.#.#.#.....#.###.###..#.##.##.####.#.######.#.#..###.#.#.##.#......##..#.#.....###..###..###..##.#.###...##..##...#.##....##.#####..####.##...##.##.#...#..#.#..##.##....#..####.#.##...#######..##...#.####..#....##..####.#.##..#.##.#...###..####..#.#...####..##....##.###...##.###..#
#..#......##.##..#.....###.#.#.#.....##.#.##.#.....#.####.##..#.#.##.#.#.#..#.######.##.##.###.###.##.#.##..#..###....###.##..###.########.##........##.#.....###...#...###.##.#.##...###.##.##......####...#####.##..#####..#####.#....#####......##..#...###.#.##..##.#...#...###..##.#......########.####
##.######.##.###.#.#####...#.....###.##.#.##.#.#########...#.##...##.#.#.##.#.##.#.#.##.##..##...#.#.....##.##...###.##.#.###.#.#..#.#.....#..########..#####.....###.###...##.#....###.#.##.#####.###....###.#.##########..###.#####.####....#.####..##.#####......##....#.##.##.##.##.########.#.#.##..###
#..##.#....#.#......##.######.####...#..#.##...#.#.##..###.#.##.####.#.#.##...#......##.###.##.###.#.######.###.##.#.##...#.#.#.#.##.#####.##.....#.##.##.#...###..#...##.###....#.###..#.#..#.#...#.###.##.....##......#..###......####.###.####....##....#.##.#######.#########.##.##.##.#............##.#
##.##.###.##.#####.##......#########.##.#.####...#....##...#.#...##.......###.#####.##...##.....#......###......##.#.#..###.#.#...##.##..#....#####.#..##.###...##...####...####.###.##.#.#.##.#.#.......###.####..####...##.##.#######...#....#..####..##....#..#...#....##..#.#.#..##......########.#..#.#
#......#..##.##.##..##.#####.#.....#.##.#.#.#..###.#######.....#.######.###.#.#........######.###.######...###.##..#.#.###......#.....##.##.###..##...##....#.##########..###.##..#..##.#.#.##.#########..#...#.#.##.###.###..#....##.###.#.####.###...###.####.##.###.######.#...##....##.#........######.#
#.####.#.##..##..##.#...##.#.##.##...##.#.#.##..##..#.#..###.#####.##.#..##...##.###.######.#..##...##.###.#######.....#.####.##########.##...##.####..####....##.####.##.#.#.#..##.##....#..#..##.#.##..##.###.......####.##.#.####..##....#.##.#.##.##.#####.....###.....##.###.#..#############.####..#.#
#.#.......##.##.##..#.###..#.##..###........##.####...##.###.##.#...#.#.#####.######.#.#.#....##..####..##.#.##....#####.......#.##.##....#.###...##..##..#.####.....#.##.....##.....###.##.##.##....#..##......####.##.##.#......##.####.###.#..#.##....##..#.##.##.#.#####..##..#.####....#.#..####.##.#.#
#######.#..#..#.###.#.##..##.########.#####..#.##.#.###..#.#..#.###...#..##.#..###.....#.###.###.####..###.#.#####.###.#####.#...##.#..##...#.##.####..##.....##.#####.##.#.#.#..#####.#.......###.#...###.###########..##...######..##.#..##...##.#..#####.##.####.....##.##.###........##.....###.#.#..#.#
##.##.#.##.##....##.#.##.##...##....###.#.##....#.#.#.##.#.#.##.#.###...##..##.#...###...##...#.....##.#.#.#.#.#.....#..##.####.##....#######.##..#.##.##.#####....###.##.######...#.#.##.##.#..######.....#...#.....#.##..####...##.##.#.##..#......###.#...#...#..#.#..#.##.#.###.##.########...#.#...##.#
#.....###...##.#......#...###.#####..#....####.##.#...##.#.#.#..#...##.####.##.#####.#.#####.##.######.#.#.#...###.###.##...##...###.###.#.##.#..##.#..#........####.#.##..#.#...###.#..#.#######.#....###...###.#####.###...#..###.....#.#..####.####.....#...#...##.##........##...#####...##.#...###.##.#
#.###..#..######.####.##.##.#..##.##.####..##.......###....#.##...####..##...#..##.....#.##..#..#.##.#...#.#.####..#.#.###.####.##.#.#.#...##...##....##.#########.#.#..##...###.#.#.#.##.#.#.#.....##...##.####.##..#.#.#.###.##.#.###.....#####...#..#.#.##.###.#####..##.#####..#####.###.##.##.###.....#
###.##.##..##..####...##.##.#.##........##.##.#######.####.#.###.##.#..####.##.#######.#.###.#.##.#..###.#.#.##.##......##.##...##.....#.#####.######..#..###..#.#.#...####.##.....#.#..#.#...##.#####.######..#.#..##.#..............#.#.#...#.#.#...####..#######.#########.#...###.....##..######.#.#.###
##...#.##.##..##..###.##.##...#..######.##......##.##.#.##...#......##...##.##..##........##.#.##.#.###....#.##.##.######..###.###.##.##..##...#.##...##.##.#.##.#.#.###.##..#####.#...##.#.######.##......##.##.#.###.#.#####.#.#.####.#.#.#...#.###.#.###.##.#..#.#.#.#.###...###.##.####..####..#.###...#
#..#....#.###..##.....##.####.##.#.........##.####.##.#.####...#.#####.###..#..####.#####.##.#.##.#...####...##.#.....##..##.#......#####..###.#.##.###...#.#.#.......#..###..##...#.###..#..##.#..#..#.#####.##.....#.....#.#################.##..##....####....##.#.....#.###.....##...###.##.#.##.###.###
#######.#...##.####.#..#..#.#.########.##.##..##...#..#.#.##.#.#..##....###...##.######........##...###.####..#.#.#####..##....#######.##.##...#.##...##.##.....####.##.##.##.####.#.###.##.##..##...##...#.#.##.#####.###....#.#.#....#.#.#.#####..#.#.##.#..#.##....#####..##.#####..###....#....#.#.#.#.#
#.#.#...##.##.....####...##.#.#.#.####.######..###...##.#....#.#.######..##.###..#.##.#####.####..#.#.#.#.###.#.#..#....###.####.#.#.#..#.##.###.##.###...##.#####.####..#.##..#.#.#.#...##..##..###.######.#......###.###.####.#.#.#.##.#...###.##.#.####...#####.####..##.##..##.##.##.###.##.####.#.#.#.#
#.#.###..#..##.##.##.#.#.##...#......###.##...##.#.####.#.########.#....##....##......##.......####.#.#.#.#.#.#.#.##.#####..#.#....#.##.#..#.#.#.#..#.###.....#.#...#...##..##.........###..####..##...#.##.#.#.#.##.....####.......###....###.#.#######.##.##.##..#....##...##....##.##..##.......#.#.#.#.#
#...#.##.#.##...###..###..###.######..##.####..#....##.......##.#..####.##.##########.#####.##..##......#.#.#.#.#.##..##.##.....#.##.#..##.#...#.#.##..##.###...#.###.###..####.######...##..##..##..###.##.#.###.##.######...#.#.#..##.####.....#.#............#.##.#####.#####.###..#..##..##.####.#.#.#.#
###....#....###..###..#..##...##.#.#.###..####...##..####.####..##.##.#..#.#.##.#.......##..#..##..###.##.#.#.#...##.##.....#.#.###....###.##.##.#.##.##..#######..##...##..##......##.#####.##.##..##.#.#.....####.....#.##.##.####.........#.###...#.##.#######.....##.....#.#.#.##...####..####.#.#.#.#.#
######.###.###..##.##...#####..#...#.#...##..##.###.###...#..##.#..##.##...#..#.#######..##.##..##..#####.#...##.###.##.#####.#.####.####......#.#..#..#.##..##.#.###.#..##..##.###..#..##.#.##..##.##.#.#.#####.##.#####.....########.####.####.#.########.###...##.#####.###...#..##.##.##.###.#.#.......#
#.###..#.#..#..##...###...####.###.#.###.##.###.#.....#.#...###...##..##.###.##...##....#######.##.##.##....####..#..##.#...###.#.....#.###.##...##...##.###.##.#...#.#.###.###...#.#####..#.#..###..........##..##..#....#.#####.#..#....###.##.......#.#......#..#...###...###.#.###.##........#...####.##
#...##.#.##.##..##.###..###.##..#....##..#..##..####.#####.##.###.##.###.##...##.######.#.##.##.##....#..#####...##.###...###########.....#####.####.##....#.##...#####.##....#.#####.#.##.#...##.#.##.##.#.###.###.##.#######......###.####.....#######...##.#.####.###.##.##......#.....#.####...#..######
##.##........##.##.##..##.#.###.##.#####.#.###.####...##....#.#...##...#.#..####..#.#......#.#..#####...##...#.#........###...##.##.##.######....##...#.##.#..#.###.##...###.##....##.#.#..#.####...#####.####..##.......#.#...##.#..####....########.###.###.#....#.#.#..#.#####.###.##.##....#.#.#.##..#.#
##..##.#####.##..#..##..#.#.#........##......####.###.####.##.###.###.##.#.###.#.##.######.#.##...#####.#..#####.##.#.#...##.##..##.##.#.##.###.####.##..#.##.#......##.##....#.####..#.##...##.#.###.#.####.#.####.######.#.#########..##.#######.....##...#.##.#####.##.#..##........#..#.#.########..##.#
#..###.##.....##.#.###.##...#.#####.######.###....##....##.##..#...##.##.#.##....##.##..##.#.###.##..#....##.##...#####.###..##.###.##.#.##.##...##...#.#####...#.####...##.###...###....###..#.......#..#.#.#.#.#.....#.#.#.##...####.##....#...#.######.########.##..##.#.####.###.#.##.#.#######.###....#
#.##.########.##.#.##...##.####.....##...#..#####..####.....##.###.#..##.#..##.###...#.##....#.#.###.##.#.##.##.#########...##....#.##...#..##.###..###..##.##.#####...####.###.###...######.##.#######.##.#.#.....#.#...#.#..#.###.......#.##.###.##.#.#.##.#.##...##.#.....##...############.#.#...####.##
#.#..###.........#.####.#...##..###.####.##..##.##.#######.##...#..#.###...###.#.##.##.####.##.#..##.##.####.##..##.#.#####..###.##.###.##.##..#.##.#.#.##...#.#.##..###....#.#..##.###.##...##.#.#.##..##.#.#.###########.#.##..##.#########...##.#.......#.#.##.###..#.###.#..#......#.#.##......###.##.##
#.#.##.#########....##....########...##..#..##..##.#...##...###.##.....##.##.....##.#...##...#.##.##.##..#.#.###..#...#..##.##....#.#.#.##..##.#.#.......###........#######...#.##...##..###..#........##....#.#.#....###.......###...####.##.###..#.#####...#.....###.#..#####.######......#.#######......#
#.#.##...##......##.#####...##.#.###..##.#.####.#....######.#....###.###...####.##....#####.##....#..##.##....###.#.###.##...####...#.#.#..##..#.#.#####.#.#.#.##.####.##...#.#..##.##..##.##...##.#########.......##...##.#######..###....##.##..##.....###...#####...#.##.#....##########......#..###.#.##
#.#..##.##..#######.#..#..####.......##..#..#.#.####..##....#.####...#.##.##.....####...##..#####.#.###.##.####.#.#.#.#..##.##.##.###.#.##....##.#.##.####.#.#.#####.#..###.####.....##.#.....######.#...##..###.#..######.......##...#.#####..##.#..#######.#####.###.#.##.#.##......#...###.####.####.####
#.##.##..####.###.#.##.##....####.######.#.##...##.##.#####....##..###.##.######..#...#####..#.##.....#.##.#.##.........##..##.##..##...##.####....#....##.#.###.##..#.##.#..##..###.#..#####..#.##....#####...#.##..##....##.##..#.###...#.##.##.#.###.##.#...#.#..##.#.##.#..######...#####..#.#.##......#
#.#..##.##.#....#.#.##.##.#####....#.##..#..##.###....#.#.####..##..##.##..##..##...#...##..##..#####....#....##.########..##..##.#####.##..##..##...##.#..#..##.###...##.#.####.######.##..#.##....##.#.##..##########.###########...##.##.#............#.#####.##.#....##...###..###.###..####....###.####
#.#.###..#.####.#.#.##.#..#.##..##.#.###.#.###.#.####.....##.#.####.##..##..##.#..#.#.###..##..##.####.###.####.......#.#.####.#..####..###.##.###########.#.###..###.###.#..##.....##..##.##.#..#.#####....###.##.##.#.....##..#.#.###..##.#.#####.####...##..#.##.##.####.###.##.#.#.....###...####.#....#
#...##..##.###...........##..##.#..#..#....##.....##..###.##.#...##.#..##..##..#.######.##.##.##..#.##..#....##.####.##.....##.##..##..##........####.##.......#.##...#.#...###.#######.##..#.#.####..#..#####..##.#....#.#####.......##.........#####.#######...##.##..#.#..........##.##.#.#.###.#..#.####
###..##....#.#########.#####..####.##.###.#####.#######....#...#.#....####.###.....#.##.....#.#..##.#..##.####.....###..#####.....##..#####.######....#####.####..###.#...####..##..##.....##....####.##..##.#.###.#.########.#.#########.######...##...##.##..####.#..##...###.###.########...##..#.##.#.##
#.#.######.#.#.##...##....###..##..#.......##....##.######...########....#.#.#.#####..##.##...#.##..##.##.##.##.#####..##...###.#..##..##....###...####.##..##.##..#....#..#.##..##..##.##..#.####.##.##.##......#...................##........#.######..#.#..##..#.#.###.####....#...##.##..#.###.........#
#.#.##.#........###.###.###.#.####.######.##..#####.#..#####.##.##..####.#.#.#..#....########....##.#..##...........##....####..##.##.#####.##...#####..###..#.###...#######.##.##..#######.#....#.##.#.....#.####.####.#.#####.########.####.##..#.##..##.#.##..##...#.#..#.##.#######...#.####.#.#####.#.#
#.#..#.########.#.#.....#.#.#..#.#.##.###..##.#.#.#...##......#..##.##.#.......##.#.###....#..##..#.##.#..####.#.##.#..####..##.#..##..#.##.###.####.#.##.##....##.#..#.###........###.##.....#.##..#...##.####.#....#######.#####.#.##.....###..##..##.......##..##.##...##.####..##.###.#.#.#..#..########
#.#.##.##.#.........###.....#.##.#....#...###.#.#.###.###.###.#.##..#..###.######.###.####.######........###.########.#####.###.##.###...##..##.#..#.#..#.#..########...#.##.##.####.#.#..##.#####.##.#######...#.####.#.#.#...#.#....##.##########.####.########..#.##.####......###.##......#.##.##....###
#...##....###.#.##.#######.##.##.####.###.##......##...######....##.##.##...###.#..##.##....###.#.##.#.###....#.#.##...#..#.#.###...#..####.##....##.#.##.#.##.#.#....###.....#####..#.##..###...#.##.....#.###.#.#.#....#...###...#####..#.#.###.#..##....###..##.#.....##..###.##...##.######.##....##...#
###..####..##########...#..#...#..##..#....####.######.#.#....#.###.##.####.#.#.##..#.#####.....#.#..####..#.##.#.##.###.##...##..#.#.##.#...###.###.#.##....#.#.####.#.#.##.###....##.##.######.#.##.#####.#.#.......####.#####.###.##..##...#.....####.###.##.#..#.###..##.#.####.####.##.##...#.#########
#...##..##..###...#.###.##.##.##.####.##.###.##.##.#...#.#.##.####..##.#.#....#..##....###..###.####..#...#####.......#...##.###.##.#.##.##.##.#.##.....##.###.#..##.......###.###.##..##.##.##..#.#....###.#.#.##.####.##.###.....#.#..####.##.#####.#...##.#..##.#...#####.#..#.#..##......##.##..##.##..#
###.###....##.###.#...........##.##......###.##.##.##.##.####..#.##.##.#.##.###.##..####...##....#.#.##.###.##..#######.####.#.####...##.##.##.#..####.###.#.#...####.##.###...##...##.#...#..##.#.#.####.#.....####.........###.###.#.##.##.....##.#.#.###..#.##..#.#####.#.#.##.#.###.###.##...#.##..##.##
#.#...####..#.##..#####.##.##.##..######.#...##.#..#..#...##..##.#..##...##.#.#..##.##.##.######.............##.#.#.##...#.#....#.###.##.#...#.#.##.##.#.......#.#.##.####.###..##.##....###.##.........#...#.#...##.#########...###.#.......#####........##.#..##..............#.....#...####.###....##...#
#.#.####.##.#..##.#.##...###.....##.##...#.####.##.##.##.####.#..##..##.###...#.##......#.#.###..####.########.......##.##.###.##..##.#..#.###.#..#.#..#.#########.##....#.##..##...##.####...#####.#####.#####.#.##.#.##..###.#.#.#.#.####.##########.#####.##....#.#####.#.####.###.#.#.##.....###.#####.#
#.#..#.#....#.##.....###########.#...###.#.#.#..##..#.#..#.#....##..##..##..###..##.#######...#######...#.##.##.######...#.##..###.#..#.##.#.....##.#.##...##.#.##.#..####.###..###.##....##.##.#....#.##....######..#....##.###.#.#....#####....##..#.#.##..##.##.#.....#######....###.#..##.######..#.#..#
#.#.##.####.#.######.#.#.#..#.#..##.###....#.#.####.#.##.#.##.###..####.#..##...###....#.#..###.#.....###.##......##...###.###.#.#.##.#.##.###.#.##.#..##.##..#.#....##.#..#.#.##....#.####.....#.##......##.#.#.##.##.####..##..#.#.##.#.....#.####...#..##.....###.#.#.#..##.#.######.#####....#.#.##.#.##
#.#.#...##..#.#.##.......##.#.#.##....###.##.#..##....##.#.#..#.#.##..#.##.##.###...####.#.##.#.#.###.#.#....##.######...#..##...#.##.#.##...###.##...###....##.#.####....##...#####.#.##.##.####.############.#.#..##....##..##.#...####.#######.###.##.##..#.#..#########.#..#..###.#..#.#..#.##.#.#....##
#.#...#####...#.###.####..#...#..##.#.#....#.#.#####.##....##...#..##.#.##......#.#...##...##.#.###.#.#.#.##..#####..##.##.##..#...##....##.###...##.###..#####....#####.##..###.##.....#.#........##.#.###.#......##..#####.##....###.##.#...##..#.#.......####.##.#.#.##..#.##.##.#.##.#.#.####..#...##..#
#.#.#####...#....#####.##.###.#.#####.###.##...#.###.####.#####...##..#.#..########.######..#.#.##.........######.##.#..#...#####.####.#..#...###..#.....##.#.#.##...##..###.##...#.###.#.#.######.#..........#.##....##.#.#.##.##.....#....###..##.#.#####...##.........##....#.#.....#.#.#.#.#..##.####.##
#...##..#######.##.#.#.#...##.#.#.##......##.###.#.#.#.#...##.#.###..##.##.###.#.#..##.#.##.#.#..####.#######...#.#..##...###.#.....####.##.###...##.#####.......#######..##.##.###.#.###.#.....####.#####.########.####.#.#.#...###.#...##.##..##....#######..#.#.###.#..##.#.....#####.#.#...##..#....####
#.#..#.##..##.#.##.....#.#.#..#.#.#######..#.#.#.#.....##.##..#...##..#.##.#.#.#.##..#.#.##.#...##.##.....##..###.#.##..#####.####.##.#......####........###.#####....#..##......##....##.#.###.#.#......#####.#.#.....#.#.#.#.#####.#.#.######..##.###.....#.################.###..#.##...#.####.##.#####.#
####....##.#.....#.###.###.##.#...#.##.##.##...#.###.#.#..###.#.####.##.##........##.#.#.##.#.###..##.#######..##....##.##....##.#.##.##.#.###.#..##.#####....##.####.#.######.#####.####....####.##.######....#.#####.#.#.#.......#####...#.#..###...#.##.####.#.#....##.##....#####..##.##..##........#..#
#..###.###.###.#####.#.##...#.#.###..#.##.####.#.#####.##..#..#..##..##.##.########......##.#...##.#...###..##..##.###...##.####.#.##.####.#.#...###..##.###.##...##..#.##.##....##..##.##.#..##..#.....#.#.####...#####.#...###########.###...##.#.###..###.#....#.#####..###.##.###.##...#.##..#.#.##...##
##..##...#.#.....##....####...#..###.#.#...##....#.##...##.##...####.##.##.#..##.#######..#.##.##....#.....##..##..#.#.#.#...##..#.#..#.#..#.#.###.##.#..#....##.####.......##.###..###.##.######.#.#####.#...##.###.##..#.###.#...#.#.###.###.##.#.#.#.##...#.####.##.#..##.#..#.#.#.##.#......##.#..######
#..##..###.###.######.##....#.#.##.#...##.#####.##..###..#.#..#..#.#.##.#....##...##..#..##.#...#.#.######.###..##.#.#.#####.###.#.##.#.##.#.#.....####.##.####..#.#..##.####..#.##.#........#.#.....##.#.#.###...##.###.........#...#..#..##..#..#...#.###.##.#..#.##.#.##..##.#.#.#..#.#.###.#####.###.#.#
##.###.##.......##.##.###.#.#...##...####.##.##..##...##.....##.##...##...#######.###.##..#.##.####...##.###.##..#.#....#.##.#...#.#..#..#.#.#.#####.##.##.##.##.#.#.##..#..##.#.#....#.##.###.#.###..........#.####..#..##.#.#.####...##.##..##.##.###..##......##..#....##.##...#.#.##.########..###.#...#
#...##..#.####.##..##.#.######.#####..#.#..#.###.##.#..####.#####..#..#.###.#.##...#..###.#.##..##..###...##.##.##.#.####.#..###.#.##.##.#.#.#..##.#.##....##..#.#....#.##.##..#...#########.#...#.########.#.#..#.##...#########.####.#...##.##.##.#.#.##..#.#.####...####.....#............##...###....###
##.##..##.#.....##.......##....#.#.#.##.##.#..#..##.####.#..#########....#.....###...##......##.##.##.##.##..#..##.#.#.##.#.##.#.#.##.##.#.#.##..#.#.#..#####.##...####.#..##.##.###.#..#.##...#.....##...######.#.#..###.####.#....#####.##...#..#.#.#.##.#######.#.###.#..#.#.##.#.#.#####....###...#.##.#
#..#..######.#.###.#####..####.....#.##.##.##.##.##..##..##..##..##...##.#.#####.#.########.##...#.##..#..##.#.###......#.#.#....#.##.#....#.##.##.....##.##...##.###.####.....#.....#.##.##.####.#######..#..##.....####.#.#....#.##.#.#..##.##.##...#.....###..#.#.......#######.#.#.....#.#.##.#####.##.#
##.#.##.##.###.#.#.#..###..#.#####.#..#.#..##.##..##.#..####..#.#######.....##.#.#..####.#...###.#..##...##....#...##.###...##.#...##.####.#....#..#.#.....###..#......#...#.#...###...#........#..#.#.##.##.##..#.#..........#.####..#...###..#.####.#.#####.##.#...##.#.##.##..#.#.#.#.########..#.#..#..#
#.......##..#..#.####..###.....#.....##.#.##..#..##..#.###.#.##.#...######.###...##..##..###.##....##..#####.###.#..#.#...#######.##..##.#...##...##########.#.##.######.#############...###########.#.##.....##.###.##.#.#.#####.#..##.###.#.##..##.....#.##.#....#########..##.#####.######.#.#.##.##...##
###.#######.##....#.##..######.#####....#..##.#.####...#.#........###.####...##.##..####..##.####.####...##..#.#.##.#####..##.##..##.##....######.#.#..###............##..#.##.....#####..###..#.#.#.#.##.######...########..#.#..##.#...##...##.####.####..#.###.###.###..##.##.....#####.#..#...##.##.####
#....##.##...###.##..##..###....#######.##..#...##.###...#.########.#.#..#.###...##...##.##...##..##.##.###.##....####.#..##...##.....####.#....###...##.##.###########..##.###.####.######.##...#......#.###....#.#########.....##....###..####.#.##......##..##.......##.....#.######......##.####.#.....#
####.##....###....##.###.#.###.##...###.###...###...####.#.###...##.#.##.....##.##..####.####..##..#.##.#.#.#..##..#.#.##.####.###.####.#....#######.##..#.........#.##.##...##.#.##.#..#.#.##.###.######.....######.##.#.##.#.#####.#####.###.#.#.#..#######.##..##.#.###.#####.##.##..##.#.##..##....#.#.#
#.##..##.#...####.#..#.#.#.#...###.##.#.#.##.##.###..##....#.#.###..#.###.##.....##.#.#....##.####.#.##.#.#.#.######.#.#...##..#.#.#.#....####.##.##.###.#.#########.##.###.###.#.#..#.##.#.##..#......#..##.####.#........#.####.....##.#.#.#.......##..##......#######.....##..##..##.########..##.#######
#.#..###.###.##...##...#.#.###.#..........##.##.##..#####.##.....##.#......##.#####.#...####..#.#....##...#....#.##....###.##.##.#.#.####....#.##..#..##..........##.#........#.#...##.##.#..#.##.######.######...#.#####.#####.####.##..#.#...####.####..##.##.##..#.##.#######.#..##...##.####.##....##.##
#...##.#####..#.#..###.#.#.#.#...##.##.#.##..##..##.##.#...##.#.##..######.####.##..##.##..##.#.##.#..##.##.####.#..#.##.#....##.......##.####..#.##.##..##.#.######.#.#####.##.#.####.#....##.#.....#..........###.....####....##.#..##.....########.#..###..#####........##.##...####.###..##...##.#..#..#
#.#.....##.##.####.##......#.######.####..##..#.###.##.#.####.#####..##....#.##..##.#...#.##..#.#####.##..#..##..#.#####.####.####.#####..##.#.##.##..##.######.##.......######......#.##.###....#####.####.#.#.....#.#.##.####.##...###.#######..##..#.###..######.######....##.###.#....##.##.###..##...##
#.#####.##.##.##....######.#.#.##.###.##.####.#.##........#.#..##.##..##.###.#..##....###..##.#..##.#.###.#.##..##..##.#.##.....##.#.#.##.#.......##.###...#.##.#..####.##..#.#.#.####.##.....#.####......#####.##.######..#.#..##.###.#.........###.##.#.#.###.##..##...##.####.....#.####..#....##..######
###.....##.#...###.##..........##.##..#...##..#..#.####.#.#.#.##..##.##...##.##..###.###..##....##....#.#......##..###.#.######........##...#######...#..###.##.#.#########.#...#..##..##.#####......#.##...########.#.##.##.##....###...##.##.#...#.##.#.#.#.#....###.#######.#.#####..##..##.####..###...#
##..#.#....###.###..#.########.##.###.###..##.#.#####.###.#....##..#.##.#..#.###..##.#.##..##.#######...#.####..##...#.#..##.###.##.##..###.....##..###.##.#.#........###.#...########.##....#############.##.##.###.#.#...#.##.####.###..##########..#.#.......####.#...#.#.....#...#.####..#....#.##.#.###
#..######.##.....#.######.##.#.#..#.#..###.#.....##.#..#....######....####.#..###..#.#.###.....#.##.###...#.#####..###...###.#....###..##...#######.##...#.#...#.##.###.#.#.###..##.##....##.....##.#.#######.#..#.#.....###.#...###.##..###..#.##.##.#.#.#######.##.#.###.#.#####.###..##..##.####.##.#.#.#
####.#.....#####....##.........##.#.##.#.#.##.####..##.####.##.######..###.##..##.##.#.#.###.###.#....###.......##.#####.##..###.####.#####...#.##.....#.#.#.##########.........##..##.######.####.....##.##....##.#.#####...##.##.#.###.##..##.##.#.........##.#.#....##......##......###.###.##.#.##.....#
#.#....##.##.#.###.#####.#####.##.#.#......#...#.##..#.###......##..##..#...##.##.##.#.#.#.#..#..#.####...#.#####..#.#...###..##....####....###..##.######.....##..##.####.##.####.##......##...##.######..##.###......#.##.##........##..##.#...#.##.#####.##..#.#.##..##.######.######.....#......##.#####
#.###.###.##.#......##.####.....#.#.######...###..##.#.#.##.###..##..##...#..#.##..#.#.#.#...##.##.##.##.#####.###...#.###...##..##..#.####.#.#.##...##.##.######.##...##..####..#.#..###########...#.#.#.##....##.###.#.#..##.###.######......#..........#####......####...#...#..##.#####.##.######..#...#
#...####...#.######..#.##.#####...#.##.#.###.##..##....#.##..##.####.###.###....##.#.#...#.#.##.##.....#.#.#.#.#.#.###..####.#..####.#.#.#.......##.##..##..###.#..##.####..##..##...###.##.#...#.###......##.###...####.#.##....#..#.#.#.#.#.##.########..##.#.####..#####...###.##...#.##.........##.#.###
##.###.###....###...##.#..##..###.#..#....##..##..##.###.#..#####.#....#.#.#.##.#....#.#####.#...#####.#...#.#.#.#.#.#.##.#..#.###.###.#.##.###.##...##.##.##...#.###..#.##....####.##.#....##.##.#.#.######....#.###.##.#.#..#######.#.#.#####...##.####.##......#####.#.#.###......#....##.########..#.#.#
#..#.#...####...###.##.##..#.####.##.##.###..####.#...##.##...##..#.######....######.#.#.##..#.###.##....###.#.#.#...#.#..##...##...##.#..#.#.####.####..#..##.##..#..##..##.###..#..#...####...#........#.#.####..#...#.#...###..#.#.........##.##.....#####.#####.#...#.#..#..###.#####.#...###.#.##...#.#
##.#.###.#.###.##....#.###.#..#.#.......#.##...##.###..#.#..#####.#.#...##.##..#..##.#.#..##...##...###.##.#.#...#.###...###.####.###..##...#..#.#.#..##...##...##.#.###.##....##.##...###.##.###.########......##...###.#.####..##.##.##.#.########.#####.##.....#.#.###.#.##.##.###.#.####.##......#.###.#
#...........#...####.........##.#######.#..##.##....##.#.##.#.##......########.#.###.#...##..###..#####.##...###.#.....####..##.....##.####.#.##.#.#.##..#.##.###....#.#.##.##.#..#..###....#..##...#.#..##.#####..###.#.#....#.##...#..#####..#####...##..#..#####.............#..##....##...####.#.#...#.#
###.#.#####.###.#.########.###..##.#.##.#.##...##.###....##.#....##.#..#.###.#.#.#.#...#.#..##...####.#.##.###.#...###....##.##.######.#.#.....#.#.#....####......##...#.#..#####...####.##.#.##..###.#.###..##.##.#.......####..##.##.######.##.##..###..##.###.###.######.#.#...##..#.####.##..#.###.###.#
#...#.#...........#..###.#.#.##.#....#....###.###...##.###....#######.##.........#.##.####.#####..#.#.#..#.#.#.#.###.######........##......###.....#.####.####.#########.#.##.#.###..#.#.####..##...#.#.....###..#...#.#.#...##.###.......#.#.##..#.##.##.........#.......#.#.#.#..#.#####....##....##.##..#
#.#.#####.####.##...##.......##.####.#.##.#.#.#.###.#..######....#.##.##########.#.#..#.#...#.##.##.#.#.##.#.#.#.#....#...##.##.#######.#####..#####....#..###.#.##.#.##.#.##.#.##..##....##..##..#.....###...##.#.#######.####.#.##.####......##.#..#.##.#####.###.###.#########.##.#.#.##.#######.....#.##
#####.....#....####.#######.##...#...###........##..##.#..###.####.####.##..##...#.#.##.###.#.#..##.#.#.#..........####.###...####.##.#####.##.#.#.##.###.##.#....#.#.##.#.#..#.##.##..##..##.#..###.##...######....#.#.#####.#.#.##....####.#.##.#.##........####...##....#..######...#.#....##.#..#.###..#
##.##########.##..........#.####.###...###.##.#####.##...##.#.#.##..##...##.####......#.#.#.#.#.##..#...#.#####.##......##..###..#.#...##......#.#.##.##...#.#.####.#.#..#.##.#.#.....####..#...##.#####.####....##.......##..#......##..#######.......#.##.####.##.########.##.###..###.##.###....####.##.#
#...#.#####.########.#.##.#.#........###...#.....##.##.###..#....##.####.#..#.#####.###.....#.#..##.#.###.#########.#######.#.##.#...#########...#.....#.###.#..........##....#...#####..#.##.###..#######..##.###..#########.#.##.#..##.#..#.###.###########.#..##.#.###.##.#....##..##.#..#.##.#.#.##....#
###.#.......##.##.##.####.#.#.######.##..#####.###...#...##.#.#####.#.##.#.##.#.#...#######.#.#.##..#.#.#......#.######.#.#.#.##.#.#.#..#.#.###.##.#.#.........###.#.#.#####.##.######..####..#.#.##.##.###.....###.##.#.####.#.##########.##.#.........#..#..#.##....#.#.##.#.####..##..#.##.####....#.####
#.#.######.##......####.....###......###.##..#.#####...#.#..#...##..#....#.#..#.##.##.##..#.#...###...#.#.######...##...#.#.#..#.#.####.#.#.#......#.#.#.###.###.#######.##.....##.....##.###.............##.####.###.....##.......####.##..#...##.#.##...##.##.#..####.#.#..#.#..##..##.#.##..##..####.#.##
#....###...###.###.##.#.###..#######..##.###...#..###.#####.#.#####.#.##.#.##.#.#..##..##...#.###...#.......##.#.######.....#.##....#.#.#...#.#.##.#.#########....#..##...##.##..#.######.#...#.##.########..#.....###.#####.#######..#.##.##.#############..##.##..........##.#.##..##..#.##.####.........#
####.....#..####......###...##.#.#...#####...#...##.#...##....##..#.#.####.##.#.#.####..###.....#####.#######....#.##.###.#....##.###.....#...##########.....###.##.###.####.###............##########.##.##...#.#..##...##..#.#...##.#.##......#.#.#..##.##.#..##.#####.#.##.....##..##.#.....#.#.####.#.##
######.###.##.#######.##..#..#.#.###.#.##..#.###.##.#.#######..##.#....##.......#..##..##...#####.##.....##.###.##..#.######.####...#.#######..##.#.#..##.#####...#.#.#..##...####.#.#########.#.##.......###.#####..#.###..##...###....##.######...#.###.##.#.##...#.########.####..##....##.##...#.#######
#...#####...#..##........###.....##.....########.......####.##.##...###########...##..####.##..##.#..#.#.....#.....##...##.#..#.#.#####..##.#.##....#.###..#..###.....#.###.#...####..##...#.#....#.#######.#...#.####.#.#.##..###.##.####..###.#.###.##..........#.....#.#.##.#....###.##.######.##..###..#
###..##...#...#########.##.###.#..###.###...##.#######..##..##.#..#####.##.##.###.##.#####.#..##....#####.#.##.#######.##..#.##.#.##.#..##..#..#.####...##...##.#.#####.##..#.###.######.###.#.####.#.#..##...#...............##...#..##.##.#.#.#......##.#.##.#.###.#.##...##.#.####.####.#.##...##.##.##.#
#...##..#####..##.#.######.######...#..####.#....#.#.#.##..###...####.#..#.#......#..#.##....######....##.#.##.#...##...##.#..#.#.##.#.####...##..##..###..####....##......#####....##.#................##..#.#.#.#.#.#.##.##.##.###.##..#..#.....#.####..######...######.####....###.##......###.##.......#
###..######...##......###..#.##.###...##....####........#.##.##.###.#.##.#.######...##.#..####.#.##.####..#.##...###..####.##.#....#.#..#.#.#..##..##.#.#.##....#.##..#.#.##.##..#####.#.##.#.#.#.#.#.#....##########.#..#.##.#..#.#..##.##.#.#####...###.##.##..#####..#.#..####...#....######....#.#######
#...##....###....##.#.#.##.......####.#####...##.#.##.#....#.#..##..#.##.#.###..###.#..##...##...#...##########.##.#.##....##.#.####.#.##.####.#..###.#.#..#.####.#..#######..##..###....##############.##.#.#.....##.##.#..####.#.#.###..........#.#..#......#.##...##.....##.###.##.####..#####.##.#.##.##
###..####.#.##.#..###...########.#....#.#####.##.#########.#.#.###.##..#.#.#.##.##..##.##.######.#.#.#.###.##....#.#.#####.##.#...##.#.#...##..#.##.#.#.#.##..#####.####.#.##....##.#.####.#.#.#.#....###......################..#...##..####.#.###.##...#########.#..##.####..#.#.....#.##.#.#........#...#
####.#.#.....##########.....#.#..#.##...#.#.#..####.....#..#.#......#.##.#.#.##..##.#..##...#.#..#.###......###.##....##.#..#...####...###.#..##..#...#.#.##.##.##....#..#.##.##...........#.......######.#.#.#####.######..#.##...#####.##.############....#.##.####..#....##.....#####.##.#.##.###.#...#.#
#..#...#.#.#..#.#.#.#.#####.#.##.####.#.....#.###.#####...##.##.#####..#.#....##......##..###.##.#..#..######...#..#####.##...###..#.###.#...####...#............##.###.##..#.###.##.##.##...#.##.###.#.#####.........##.##....###.##.#..............##..####.....#.#.##.########.###..#.##.#.##...#.###.###
##.##.####.##.....#.#.##.......#..#.#.#.###.#.#.#.#..####..#.##.#.#.##.#.###.####.###..##..##.#....##.##.##.###.#.####.#.####.###.##.##..#.###.#..#######.##.#.#........###.....#..#######.#.####........#.####.#.#####..##.####........##.#.##.#############.#####....#...##.....#.##.#.##.#....#.#...#...#
#......######.###......###.#.#...##.#.#.#.........##.#.###.#.#..#.#.#..#..##..#.######.##.###.###.##......#.##..#.##.#.#..##..#.#.#...##....#..##.#..##.####.#.#.########...#.########.#.#.#..#.#.#.#.####....#####.##..##.....###.#.#######..#.##.##..##...#....###.###.########...##.#......##############
#.#.##.#.##.###.######.##..#####.##.###.#####.######.....#.....##.#.##.#.###.##..#.........#..##..#..##.#.#..##.#..#.#.#.####.#.#.#.###..#.##.###...###....#.#.#....####..######.#.#.....####...#########..#.#####...##..#.#####...###...###.##.....##.##.###.####.#.##..#.##..##.###....######.#.#.#.#.#.##
######.#.##.###.###.......####...#..#####.#....###.#####...#####..#.##.#.##...##.#########.##..##...########..#.#.##.#.#.#.##.#.#...#...####..#...#...##.#######.##....#.###.#.#.#.#.######.###...##.##.#.#####.#..####.##.##..##.######.#.###########.##..##.#.##....##...###......####...#......#........#
###.......#.#...#.##########.###.##.#.##....##...#.##.####.###.##...#....#..#.##..##....##.###....#....#...##...#.##...#.#.#....###.#.###.###.#.#.######..#.#.##..######.##..................######.........#...##..##..#...##.##....#.#....#.##.##..#.##.##..#.##.#####.###...######..#.###.######.########
#...#.#.#...###.#.#.#.#..##....#.##...#########.##.#.....#.....##.#...####.#####.######.##.#.###.#######.#####.##....###...#.######....##..##.###...##.#.##....#####..#.....###.#.############.#.#..##.######.#####.#..##.###..#..####...##.........##.#...##...##....#....###....#.##....#.............##.#
###########.#.#.#.....##.#..##....###.#..#.#....#..#####...##.#######.###...##....#.#........###...#..##..##...#..#.##.###.....##.####.##.###..##.###..#....######.##...#.#...###.....#.#.##.......########....##.#.#.###.#.##...##..##.#####.##.#####.#.######.##.####.####...####.#..####.#.##.#.#######.#
#.##.#............#.#.#....####.#..##.##.#.####.##.#######.#####.####.#.#.#####.###.###.#.#.##...###.##..#####...##.#...##.#####..#.##..#.#.#.##......##.####.##.#..##.##.########.##........##.#.###.#.....####....#.#.#......####.##.....########.#....#.##............#####....#.##...##.######....#.#..#
#.##.#####.#.#.#.####.#.####....##...........#..#......#.#...##...#.......#..##.###..######.###.###..##.##..#..#######.##......##.#.##.##.#...##.####.##..#.#.##.#.##...#######..#..#.#.#.##########....#.####.####.#.#.#.####.#.......#.#..##..#.#.#.####..##.####.######.##..#.##....####.....###.#.....##
#.##..##...########...######.##..###.#.##.##.##.######.#.#.######.####.####.##..#.#.##.#.#..#.#.#.##..#.###.##.....##..#..#.####..#.#...#.#.###....##.###......#.#.##.#####.....#####.#####..#.##....#######.#.#............##...#####.####..#.##...#..#.##..#...##...##.#.#..########.#.#..###..#####.#.###
#.###.############..#........###############....##..........#.##..##...#.#..###.#...##.#...##.....##.##..#..##.###..##.##.###..##.#.#.###.#.#...##..###.#.##.#.#....#.###.#.###...######..##.#.####.####.##....######.####.####.######...###....##.##.##.#..##.########..#.#.##.#####......##.####.#.#######
#.......#.#..#.#.####.#.##.#.#......#.##.#.####.########.#.##.###....#.#...##...##.##..##.##..###.....##.##.#....#####.#...##.##....#.##......########..#.######.##...#.......#####.###..##.....##..#.....##.####..##.#.##...##......#.###.#######.##..#.#.##.....######.#.#..#..##.#.#.##.....#.......##.##
#.#####.#.##.#....##..#.#..#.#####.##..#.........##.#.####.#...#####.###.######.#...##.##..#####..###.##......##..#.#..#.###..##.##......########.#..##.#.#.#.#...#.#...#.#.#.........##....#.#..#.##.######..#.##.#.....#######.##.####.#...##.#...#.##...#..##.##...##.....##.###...####.#.#...###.###...#
####...........#.####.##########....##.#########....#.#.#....###.#.#.##..#.#.##.###.#...##...##..##.#.###.#########.##.#.####.#####.##.###....#.#.#.##......#.#.#.###.#########.##.#####.#########.#.....#.#.##.#..#.######....#.##........####.###....#.#...#######.#####.###......#....#.#.#.#.#####.#.###
##.###########.#..#.#####........##........#.#.####.#.#.##.####......##.##.#..#.#.#.##.###.#######....#.#....#.####.#....#.##..##.####..###.###.#....#.##.#.....#######..#.#.#######.#.#.#.#.#.#.....#####.#..#.##.#...##.#.#########.#.##..##......####.###.##.##.#..##...#.###.##.#.#.######.#.......#...#
#...##.....#...##....#....#.##.#..########.#............#.....###.##.##.##.##...#.#.#...#...#.#.#..#.##...####.#..#.#.####..#.###..#.#.##...#.#.#.##....####.##..##.####.#...#.#.##..#.#.........#####..#..#.##.#....#............#####..#.##..######..#.#####...#.#.#####....##.######...#.##.#.##.#.##.#.#
##.####.##...#######.####.#########.##.#.....#.#.#.#.##.##.####.####.....#.##.###.#.##.##.###...####..##.###.#.#.##.....###...#.##.#.#..##.##.#.#.#####...####..###.#.##.#.###.#..##.#...##########..##.#.##.##...#####.###########..#########.###.###......##.###.#.#.#...####..#.#.######.############.###
#...########.#.....#.###..###.##.......###.#.#####.###...#.###..##.####.##.#..##..#.#.....#.###.#.###.##.#.#...#..##.####.#.###..#.#.##..#..#.#.#.#...#####..##........#.........###.#.###.#.#.##.##....#.##..###.#..######.#.#.##..##.#..#.#.......##.######...##.#.#.#.#....##.#.....##.#.#.#..#.#.##...##
###..#.##.######.#...#.##.#....####.##...###.###...#####...#.##.#....##.#....####.....#####..##.#.#..........#.#.###..#.#.#.#.##.#.#..##...##.#.....#.......####.###.###.######.##.#.........#.....#.##.#..##.#...#.##.##........##.##...##...#.#####.....#.###..#.#.#.#.#######...###......#.#.##......#..#
#...##.##..##.#####.##.#######.#.#####.#..####.#####.#####....#.##.###..##.#.#.######...#.##.#....#####.########.##..##.#...#..#.#.#.#####..#...##.##.##.#.###.#####.........####....###.###...#####.#####.##.#.###.#.....######..#..##.##..#####...##.####.#.#.##...#.#.....##..######.#####.#....#.#.##.##
###.....##.##..#....##.#.#.....#.#.##..##...##.##.#......#.##.#..#.#.##.##.###..###.#.###.##...####.#.#.####..#...##.##.#.###.##.#...#..##.##.######..######.#.###.####.######..####..########..#.##...#.#.##....#..#.######.#.####.###.##.##..##.###...##..#......###.#.#######.###.#####..#...#.######...#
#.####.###.###.####.#..#.###.#......#####.###...#...###.#####.##.#...##.##..#..##......#..##.###.#..#......##...###..##.#.#.#.##...###.##.........#####.#.#..........#####...#.##.#..##.##..#####.#..#.#...##.####.##.#.#.#..#..#.#...#.##.###....#.##.####...###.##..........##.#.#..##.##.#.#####.##...#.#
#..#.#.##...#.....#.##.#.#.#######.###........#...###.#.#.#.#.##.###.##.##.##.########.#.##..##..##.##.######.###.##..........##.###.#.###.##.###..#.##.#...######.###.....###.#..##.#...##...#.#...######.##.##....#.#.#.#.##.##...###.....##.####.#..##.#.###.#####.##########.#...##..##.....##...##.####
##.#.#..###.#####......#.#.##.##.#.#.#####.##.###.#.......#...##.###.##.....#.#.##........#.####.#..#...#.##..##..###.##.######..##..#.#.#.####.##.#..#.#.#......#.#...###.##....##....#....###...###.##.......#.####.#...#.....#.####..#####..#.##.##..#.#.#....##.#.#.###..##..#.####.##..######.######.##
#..#.#.##.#.#.########.#.#.##..#.#...##....##.###.###.#.#...#..#.#.#.####.###.#.###.#.###....##....##.#.#..##.##.##.####.###....###.##.#......#..#...##...###.##.#...#.#.###..#####.######.##.###..#...###.###....#.#.#.###.#####.##.##.#..##.##.##.##.##.....#.###.#.....#.##..##...#...##....#.#..#.##...#
##.#...##.#.#.#.#...........##.#.###.#..##.##.#...#...#.######.........#...##.#...##########.#####.##.###.###..#..#.##...#.#.#####.......#.##...##.###..#...###..##.####.####.#.##...#.######.###.##.####....######...........#.........#.##..##.#......###.#####...#.###...###....#...#####.###.#.##..###.#
#....#........#.#.###.#.###.#....#.#.#######################.###.#####.###.##.#.####.#..#..#.#.##..##..##...#.##.##.###.##.#.....###.#################.################.........##.###.#..#.#.#.#.##..##..##..#####.#######.#...##.#.####..##......#######.....##.###.#######...####.#..##..........#.##.#.#
#.##.###.##.#.#.#####.#.#...####.#...##..#..##.#.#.#.#.#.......#.#..##.#.#.#..#.###..##.##.#.#..##.#..#####....#..#.#.#.##...#######.......#.###..#....#.##.#.##...#.#..#####.####.#.#...##.#.#.#..#.##..####.#......#########.##..####.##.###.#####...##..#####..#.#....##.###.#########..##.##.##........#
#.#..#####..#....#..#.#####........#####.##.#..#.#.#.#.######.#####.#......#.##.#.##.#..##...#.##....##.#.##.###.##.#.#..#.####.##.##.######.#.#.##.####......####.#.#.###..####.#.....###....#.#.##..#.##.######.##.......#.#######..#.##..#.....##.#####.#.#.##...#.#####..##....##.#...##...#####.#.#####
######.....###.#...#####.#########....##....##.#.#.#...#.#.#..#.#...####.###..#.#.#..##.####.#..##.###........##.##.#.##...##...##.##....................######.##.....#.#.###.#.#.###..##.####.#..#.##..#.#.##....##.#.####..#.#..##.#.##.##.#####.....##.#.#.##.###.#...##....##.#....#########.####....##
##.####.########.#..###..#.##.#....##..####.#......###.#.#.##.#.###.#.##.##..##.#.##.##.#.##.#.###.#.#.##.#####...#.#.#..#..###..#.#..##.###.#.##.#.######.#.#..##.#####....#..#.#.#.##.#....##...##.##.##...####.########.#.##.#.##....##.##.#.###.#####.......#.#.#.#.######.#####.#######.#......###.#..#
#..#.######.#.#####.#.##.#.##.###.####.##.#.######............#.#.....##.#..##.......##.#......#.#......####..#.#.#.#.#.#####.##.#.#.################..........##...##...####.##......###.#.#####.....#....###..#..#.##......#....##.#####..#.#...#..#.#..#.#.#..........#.#....#.#.......#....##.#..##.####
##.#..##.......##..............#####.#.......####..####.#####.#.#####....##..####.##.##.####.###.#.#######.##.#.###...#..##......#...#.###..#..#..##..##########..####.###..#..#.#######..####.##.#####.####.##...##..##.#####.####...##.#.##.#.###.##.#.####.##.######.##.#.#.##.#.#######.##..#.#####....#
##.##.########.###.#.#.#.#.###.........#.###......##....#..##.#.#.######.##.##..#..###....##..##.#.#..##.#.##.#..####.#.######.#...#.....##.#.##.####......###...##......##.#.##.##....##..#.#.......##...##..##.##..###....##.#.##.###..#.##....##.##......###......##......#......##.####..########.##.###
#.......#.##.#.#.#########.###.#.##.########.#.######.#.##....#...#...##.....##.##..##.####..##......##..#.##...##..#.#..##.#####.#########.#.#...#...#.####.#.####.####.#........#.##..##...##.######..#....##..#..##.#.#####...#....##.#....##.......#.##...##.###..##.#.####.###.........####.##.#.##...#
#.#.#.#..........##.#.#.#..#...#.######.#....#.###..#.#..####.###.###.##.###.##..##.##..##..######.###..##.#..#####.#...###.#.##........#.#.#.#.###.#####.#.....#.#.##.####.#######.#######.###..###.#.##.#.###.##.##......#.#.###.####....######.###.##..##.###...#.##..#..#.###...###.#.#............#####
###.####.#####.#..........####.###.#....####.###.#.#########..###.....####.#....##..##.###.####.##...#.###.#.###.##.#.####..#.#..########.#.#.........##....#####.#.##..##...##.#.#.#...##..#.##...#.#..#####...##.##.####..........#.##.#..##..#..##..##.##.##..#.#..##.##....##.#...#.###.###.#.####.#####
######...##....##.######.####..###.####.#######.....##.###.##.#.#####.#.##.##.#....##..#...#.#..##.#...#.#.......##...#..##.#.#.###..#.##.#...#.#.#.#..#.#####.#.......###.#..........#####...##.###...###.####..........#.##########.##.##....###..#.#########.#######...#.#######.#######...#.#..#####...#
#.##.##.#####.#####.####..##..##.....#..#...##..###.##.#...#....##....#.#...###.##..##...###.##.##.#.###.#.##.######.##.###.#....#..##......#.##########.#..#....###.###.###.##########.###.###....#.###....#.#.##.##########.#.#.#.#.##..##.#..#####....#.##.#####..###.##......####.###.#####.####.....#.#
#..#.#..#.....##.#.....#############.##.###....###.......#...##....##.#.##.#######.##..###.#.##.##.###.#.#.####.####.#....#...####.###.######..#.#.#.#.#.#.##.##########.##...##.######..#..#...##.......####.#.####..#.#.#.#.#...#....#.########.##..##........##..##.#####.#.#..###.#.#.###.####...##.##.#
##.#.#####.##.##...#.#..###.##.#............##.#...##.##.##.####.#.#..#.##.##.##....##.##..#.##.##..##.#.#.#.##..##..#.####.######...#.#....##..................##..##.#.#..###.......##.#.##.###..###.#..#.#.#.#.##.##...#.#.#.###.##.......##.#..#######.#.##..#.##.....##.####.............##.#.#########
#....####..##..########.#.#..#.###.#.#.#.########.##..#######....####......#..#####..#..##.#.##.##.###........##..##.#.##..........#.....##..##.#####.##.######.#..###.#.##...#.#######..#.##.###.#########...#.#.##..#.###.#.#..##.###.#.##.##...##.#...#######......###.##.##...###.#.##.##....#.###.#.###
##.#......######.##.#.#.#.##.#..############.##....#.##.##....#.##..###.##...##.####.#.###.#.##.#......##.######.##..#..#.##.#.#.#####.#.#####..##########....###.##.#.#.#..###.......##.#.#....#.#.....##..###.#..##.#.#.......##....#########.####...#...###.##.##########..#.#..##.#..####.#.##.#.#...#.#
#..######.##.................#.##.#.#.#.#.......#######..####.#.###.....#..#..#.#.##...#.#...##...####..#.#.##....##.##....#.#.#...#####.....##......#...#.####..........##.....##.#####.....#.####.#####..##.#.#.###.....#.#.#..##.####.##.#.#.#.#..#######....#.####...#.#.##.#.#####.###.###.#......###.#
##.#....#####.##.#.#.#######.#.##.#.#.#...########.##.##.#.######.##.#.######.#.#.###.##...#..#.###########..###.##..#..############..########..#.##...#.#..#.##.###########.#########.####.######......#.##..#....#..##.######.##..#.....#.#.......###......######..##.##.####.#.....#.......#...##.#.....#
#######..#..######.#.#..................####.......#...............###.#.##...#.#.#....######...#.#..##.##..##...###...##.#.#.#.##.#.##.#.#######.########.##.##..##.##.##........#.....##....#.#..######..##.#.####.######...#####.#.###.#...#####.##..####......#.###.##....#.##.##.#.#.###.##.######.##.#
#.#.###.##.####.###########.##.#.##.#.####.#######...##.#.######.#######....#.......#####.##..###...##...##.####..##.###......#..#.#.##......#.####.####....#.##.##...#.#..#.##.#...#####..##.#.##..#.#.##....#..##.......##.#####.....#####.###.####..############...#....#########..#.#...#..#.....####..#
#........#.##....##.#....#..#..#..###.#............#.#######......##.######.#.#####...#.#..##.##..###..####.#.###......#.#.####.##...##.######..##.....###.##....##.#.#.##.##########...##.####.##.##.#.##.####.##..#.#.#.#..##.#..###...#.#.#.#...###.....#########.##.##.#.#.#...#.##.#.####.#.#.###..####
#######.##..####....##.#...##.######..##.#.#.#.#.#####.#.#...##.#....#.########.#.#.###.##.##.###...##.#.#......##.#####.######..###.........#.##..#####.#....#######.#.#...#.####.##.###....##....................#########..#.#.########.#...#.###.#.#####......##.....###.....########....#.#####.#.##..#
#.#.#....##..######.######.#..##...#.##..###########.....##.###.##.#...#...#.#.......##.##.##.#.#.###..#.#.####.#.........##..#.###..####.####..##..#.##.#.####.##.#..#...#.....#...#.#.#.#####.##.#.#.#.#.###.#.#.#.#.#.##..##......###.#.#.###...#......###.#####..#.#..##.######.#.###.#.########.#..#.##
#.#.###.####.#.##...#.#.#########.#########.#.###..#####..###.########.###.....#.##.##..##.##.....#.#.##...##.####.########..##.#.##.#.##..#.##....##.##.....##..#.##...#.####.##.###...#..##....#######.#..####.#........##....##.#.............#...#.####.#.#.#.#.#####......###......#.###.##.#.#.#.##.##
#...##..##...#..###.#.#.#.#.###.#..##.#........#..##.....###...##..........#.#.###...##.##..####.##.#....###...##...#.#.#.#.###....#....##......#####....##.##..##.##.##########..#.###...###.#####.#########..#.##.#######..#######.#.##.###.##.#.###.##.#.#.#.#.#.#.#.#####.##...##########.##.....#.....#
###..##..###.##.#...........#.#.##.##...######.##.######...###.#######.##.##.###...#.....##..##..##.#.########..#.###...#.#.#...#.##.#########.####.#.#.##...##.##..#..#.#....##.##.#...#......###...#.##.###.#####......###.......###..#..##..#######.#..#.#.#..........#######.###...#.##.#....#.#...#.#.#
###.##..###.....######.####.#.#.....######.#...#...##....#......##.....#...#.#...#.#.##.####..##.#.....##..###.##.#.#.###.....#.#.#...###...#####...#.######.##.##.##.##.#.#####.##...###.#.####...#...##.......#.###.####.#.#################.##.##.####.......#.#.#.#.##...........#........##.#.#.#.#####
#......##.#####.#.#.##.###..#.####.##.##.#.###...#....##.######.##.####################.##.##.##...###....##......#.#..##.##########.##.#.###.#.###....#.#.####.##.#...........#..##.########....#.#####..#####....####..#.#.......#.##.##.#.###......##..#.##############.######.#.###.#.######.########.##
######.....###.......###.##........##..#.....###########.#.......###.##.#####.###........#.#...###..##########.####.#.##.........#.#.##.#.##..#.#...####.#.##...##.#.###########.##..##...####.#######.##....#######.##.##.#.####.##.#........#..#.#####.#######.#.#.#.##.....#######.######.#.####.####...#
#......#.###.#######.##..####.#.##..##.#####....#....#.#.###.###..#...#....#..#.########.#.##.##...##.#.#...##...........#.##.#.##.#.......#.##.#.###....#.####.##.#.#.#.##..##...##..##.##.#...#.#....#..####.##.#...........#####....##.#####.####.#.#.#.##........#.#..#.#....#.#....###.....#....#.##.##
########.........#....##.#..#######.##.##..####.####...#######.##.###.####.##....#.#........#.####........###..##.#.###.##########.#.#####....#.#...###.##...##.##.....#..#.##..####.###..#...#.#.#.####.####.....#.####.##.#....#..##.##....##.#.##..........######.....##.######.#.####.#.#####.####.#...#
#.....###.#.####.###.##..##..#.#..#.#...##.#..#.#.####.###..#.........#....#####.#.########....#.#.##.#####.#.###########.#..#.##..#.#..#######.#.###......###.....###...##..##.##....#..##.#.#.......##....#.#####..########.#.##.#######.###.......###.#.##....##########...##.#......#...##......##.#.###
###.###.###.#....#....##..##.#.##.....#..#.##.#......#.#.##.#########.##.#..##.....##..##...##...#.####...#.#.#..#.#........##..##.....##.###.#....###.#####.####.########..##..####.##.###.###########..####...##..##..##.##.###........###.##.###############.##.###.##.##.###.#.######.###..######..#.#.#
#...##..######.#...##....##....#########......######...#.#...###.#.#...####..#####.###.###.####.##..##..###.#.#.##.#.####.####.###.#####....#.#.####.#.###....#.#.....#..##.###.#.#..........#.###....##..###.###..####.....#####.##########....#....#.#####.#####......#.####.#.......##...##....##..##.#.#
###..##.#.#######.####.#..##.#...##.##.######.....####.#.###.......###..#.##..#.#....#..####.#...#.###.##.#.#....#......####.#.##........####......#.#.#.#.####...#####.##...##.#.#.##########.....#####.##...#.##.##...######..#.##...###.##.###.####.#.#.#.#.##..######.#.#....#####....#####.####.###...#
#.##.##...#.#.#...#.#####.#####.##..........#####..#.#.#.#.#######.###.##..##...####.#.##.#..###.#.....##...#.####.#######.#.#.##.####.###.###.#####.#.#.#......#####.#..###.#........####.###.###...##.....###..#.##.#####..#.##..#.###.#..........##.........###....#.#.....##.#######.##.##...........#.#
#....#..###.#...###.#.#.#........#########.##.####.#.#.#.#.#..##.#.#....##.####.##......#...####.#.#####..#...........##.....#.##..######..#.#.....#.#.#...########...##.##..#.######......#....#######.#####.##......#.#.#.##.#..##..##.#.######.#....####.##.....####...#.#..#.......#.##.#..#.#.#.#####.#
##.#...##...#####.........####.#................#............##....###.##..#.....###.##.###.##...#..#.##.##############..#####.##.##..##..##.#.#####.#...#..##..#.##.##...##.#.##...##.#.#.#.####.#.##..###....#.######.#......#.###.##....#.#.#######....#..#.#.#......###.####.#########....######.....#.#
#####.#####.#.#####.#.##.##....#####.#######.##...#.##.#####.#####...#.###.###.#.....##.###..###.#.##.##.####...........##.#.#.#.....####..#.#.#.##..#.########.#..#.###.##.....#.########.............##.#.#.##....##....######.#.#....####...#.#...##.######.###.#.##...#...##....###.##.####...###.#.##.#
#.##....#.#.#.#...#.#.##########.....#.......###.####..##........###.#.#.#.#...##.####......##.#.#.##.##..#.##.##########......#.##.###...##.#....#.##....##.#..#.##.#.#....#####.#.#.#.##.#.##.#########.#.#####.###..##............#.###...###...###.......#...############..##.#.............###.#####..#
#....#.##.#.#.###.#####.#.##.....###.#########.#######.#########.#.#...#.#.##.##..#....####....#.#.....##....#..#.#....##.######..#.#.###......####.#..####..##.#....#.#.#####...........###..#.......##.....#.##.#.##.####.#####.#.##.#.##.##.#.##################...##.#.######.#####.##.#.#.##.#.##.###.#
####.#..#.#.#.#.#..##.....####.#######......##.##.#.####.#.###.......#.....##..######.###...##.#.#.#####..####.##...##..#....#.#.####.#.#.######.##.#.###.##..#.#.####.#.###.#.#.#.##########.##.#.######.####.##........####...#.####.#.##.#........#.#...#.##.##..#...........#....##.######....#......#.#
##.####.#.#.#.....#######..#.####..####.#.#.....#....##......#####.#.#####..####........######.#.#.#.....###......#..##.#.####.#.#.#..#.#..#........#......##...#.#.##.........##########...#..#.#..#.##...#...##.########.##.#######.........########.#.###.#.....########.##.##########....#.##...######.#
#..##.#.....#####.#.#..###.#.##.##.#..#.#######.####..######.#########.....###.#####.#.##.###........#####.#.############.##.#.#.#.##.#.#.##.#####.##.#########...#.##.#######..#.##......###.#####......#...#...................##.#######.#....##............#.####..######..........##.##.#.##.####.#####
##......###..##.......##.#.#.#.....##.###....#...####..##.........######.#..#........####.....#.#.##.........######...##..##.#...#.#.......#.....#.##.#.##.#.##.###..........##......#.##...#.#.####.#.###.#.##.###.#.##.#.#.#.#..........#########.#####.#########.##.....##########.##..#######....#.....#
###.#.######.########..#.#.#.##.##.#..##..##.###.#.#..##..##.####..#.#.#.##...##.#.#.##.#####.#.#..##.#.####.#....##.##..###.#.#.....##.##...########....#.#..#.###.####.######.####.#.##.#.#....##..#...#.####...#.#..#.#####.#.###.###.###.##.#.......#.##.##.##.....###..#.#.##..#####.#.#...######.###.#
########.......####.##.#.#.#.####....#######.#.#...##.############........###..#######........#.#.##..#....#...#####....##.....##.####..#..#......##..##.#.##.#........#....#.#..##########.##.#..##.#.######.#######.##.....###...#####..........#########........#.#...##......##..#.#......####.#....####
##.#.#...##.#.##.......#.#.#.#.#####.#.###.#...###.##...##.##......#.#.##########.#....#.####.#.#########.##.#.....#.#####.########.##########.####..#####.#....##.#.#.####...##..........#..###.###.#...##.#.......#####.#.##...#..#..#.#.#.#.##......#.##.###########.##..#.##.#..##.#.####.##.#.#.####.##
#......#.##.#....#.#.#...#.#...#.#...........#.....####.......#.#.##.#.#..#.........#.##.######........##.#####.##....#.#...#..#.#...##....#####..#.##..##.#.#########....##.####.##.#.#.##########..#.#......#.#.####.#########.##...######.###..#.##..............######.##..###.###.#....#.##...#.#.....#
#####.##.##.##.#.######.##.###.#.##.#.####.####.##.#.##########.#.#..#.##...#####.#.#.#..#......#.#.#.##......#..##.#.....#...##.#.#..##.###.####.#..##.#............#########..#..###.#....##....##.#.##.#.###.#.........######.#..#....##....##.#.##.#.########.#..#.#.#########..#....#######.###...#.###
#..##..#.##.####.##...#.##.##....######.#..#....#...............#.#.##.####.#.....#.#########.#.#.#.#..###.#.##.######.##.###......##..#..##.#....#.##....##.############......##.############.#######.####.###.#.##.####...##.###.##.#####.#.#####..#.#.......#####......#..#.#...##.####.#.#.......#.#..##
##....##..###....####......##.####.#.##.#.##.#.####.##.#.#####.######..#.#####.#.##.##.##.#####.###.##...###.##.....##..#...#.#.##..####.###...##...##.##..#.....##..#..#.#######....##..........##.##..###...######...##.#......#.######.###.....#.##.##.#.####.#.#.#.##.#.##.#.###.........#.###.######..#
###.#.##########.#....#.##.....#..........#..####...##.#.#........######..##...###..#........##.##...##.###...#.##.##..##.#####..##..........#..#.#....#####.#.####.##.##.#####.##.#.##.###########.##.##...#..#.#.###..###.#.#.##.........###.#.##..#.##.#....#.#.########.##.#.#.##.########...#.....#####
#.#####.##..########.##.#..#.#...#.#.##.#######.###.###############.#.###....#...########.##.....###.##...##.####...#.##......#.####.###.##.##.##.#.##....##.#.......#.#.........###.........####.#.####..#.##.......########.####.#####.#...#.####.####..#.##......###.###.##.#...............#########.###
#.......###....##########.##.##.####.#....##...........#####..##.#.....###.#.#.###.#.##....##.##...###..#.##....#.#.#####.#######.#....#..#.#########..#.#########.#.....####.#.#####.####.#........#.###.###..##.#.###.....#..#.####.#####.#####.#########..###.##..#...........##.#.###########....#.#...#
##.##.#.#.####.#.#..##.#..##.#..##...##.######.##.######.#.##......#.#...#####..##...#..#.##..#..#..##.##.####.########.#.........##.########.#.###...##.#.##.########.#....#.#..#.##############.#....##..###..#.#.....######...##.#...########...#.#...###...#..##...#.#.#.#.###..#........##.#.####...###
#...###....#.#.#.##......##########.#######.#...###.........##.##.##.#.#..#.##.#####...##..#.##.##.######.#.....##.##.#.###.##.#.##...#.##.##.#.#.#####..........##.##.###.####.##...##.........#.#.#.##..##.####.#.#.#......######...#..#.###.##.##...###.#.#.#.####.##.#.#.#...#.##.####.#.......##..###.#
##########...#.#.######.###.#.......##........#..##.##.##.#....#..##.#.##......##.###.##..####..##...##.#######.....#.#...#..#.#..###.......#.#.......##.##.#.##....##...#...##.##.####.#####.#####.#..##.......#.###.###.##..#.....#.##....#...#....#####.###.#..##..######.##.####.....#.#.####.####...#.#
###.#......#......#.....#.#.#.#####.###.#####.#.######.#####.#.##..#######.##.##......#..##....##..#....##......#####.#.###.##########.#.####...##.########.#..##.#############.......#.....####.#####.#..#.#.#####.....#..##...#######..##.#.###.#####.....####.####......###....###.#.##.#...####.##.###.#
#.....#.##.##.#.#...#.#.#.....#.....#...#.....#.#......#.....#.##.##........#.#..#.#.###..#.##.#..##.#.##..#.##...........#..........#.#......#..#........#.##.#..............#.#.#.#...#.#........##..##.#.#.....#.#.#.#.##..#.......##.##.............#.#..##....##.##.#...##.#...#.#..#.#.#.............#
##########################################################################################################################################################################################################################################################################################################E#

#S############################################################################################################################################################################################################################################################################################################################################################
#.##..##.##.#.#.##.#.#.#.##.#.#.##.#..............##.#...#..##.#...#.#...##..##..#.##..#.##.#.#.##..#.##..........##.##...#.##.##.##...##.##..##.#..##..#.....##.....##...##.#.#....##.......##..##.#.....#.#.##.##..#.......##.......##.##..#.#.####.##....##.#.##.#..##.##.#.##.##.##..#..##.#..#.##..#.#.##....##..##....##..#.##..#.......##....##.....#.#
#..##.#...#.#.#.#..#.#.#..#.#.#.#....#.##.#.#.#.#..#.#.###.##..###.....#..##..##.#.###...##...#..##.#..##.#.#####.#..####.#.#..##.#..####.#..##..##.###.####.###.###.##.###..#...###########..##..#.#####...#.#...##.####.##########.###..##.#.#..##..#..####....##.##....##.#.##..#..##.#.###.##.#..##.#.#.#####..##..#.#####.##..##.##.#########.##..##.##.#
##.##.###.#.#.#.##.#.#.##.#.#.#.###.##..##########.....#.#..##.#####.####..#.###....####.##.###.###.#.##..#####.#.##..###.#.#.##....##.#..##..##........##.#.#.###...##...##.#.###.#.#.##..##.###.#.#..##.#.....####..##...##.#.##.#.##..##......####.##....##.###..##.####.....##.##..#.......##.##.##.#.#..##.##.##.##.###......###.##.#.#.##.#..###..###..#
#..##..#......#.#....#.##.#.#.#..#########.#.#.#.#.###...##.##....########...#.####.#.##....##..##..#.###.#..........##.#.#.#..####......###.########.#..#.#.#.##..#..###.##...##..#.#.#..##...##.#.##..#######.#..##..###.##.#.#.....##..####.####...#..#####...##.##.#.####.####.###.#.########.##..#.#.##.#...#.##......###.##.##.....#.#.##.##..##.#####.#
##..##.####.###.##.#...#..#.#.##...##.##...........#####.....####.#.#..#.##.##.#.......####....####.#...#.##.#.####.##....#...##..#.#.####....##..######........#.###.#....##.####.#...##..###.#..#..##.###.##....##..###...#.#.#.###..##.#.#.....###.##.##....###..##.#.#.##.#.#..#.#.#....#.#.#..##...#.##.###...#..######....#..#####.#...##.##.##..##.##.#
##.##..##....##.######.#.##.#.##.####..###.####.####.#...#.#...##.#.##...##.#..###.#####....####.##.#.##########.##.#####.#.#####...####.####..#.##.#....#.#.##.#.########..#.#.#....###..##...#.##.##..#.#.####.##..##.###.#.#.####..##..#.#.###.##..##..####..##.##....#.##...##...#...####.#.#.##..#.#..#.#.##.##.####..##.######..#..##.##..#..##.###..#.#
#...##..###.##...##...........#...##..##.###########.###.#####......###.##....###....#.####.###..##.#.#..##.##...##..##.....#.#####.##....###.##.##.###########.#..#.##....##.#...##.####....#...#...##......##...#.###.....#...##.##..##.......#.#..####..#.#.###..###.##.##.#..###.#.###.##.#.#.###.###.##.#.##.##..#...###..#.#.##.##.#..##.##.##....#.##.#
##.##..##....##.#############...#####.##.##....#.....###.#.....##.#.....####.##...#.##.#.##...##......#.##...###.##.#######.#..##...##.####....#..#.###.#.#.#.#.##....####.##.#.###..#.##.#.####.#.#########.####.#...#####.##.###.#..#####.########.##.#.##.......##......##.######.#.##..##......##..##.##...#..##.##.####..##.#.#..##.##.#......####.#....#
#..###..###.##...#.#.#.#..#.##.###..#.##.#####.#####...################.#.#..######....#..###....######.##.#.#...##.#.#..##.#.##..#....#.####.##.##.#............#.####.#...#.#.####.#..#####....#.#.##...#...##....####.#...#.##..##..##.#.##..##...##...#..####.#####.#####.##.#.#.#..##.#####.#.###.#...###.##....#...##..##..#.##.#..#....######.##.##.###
##.#.##.##...#.#...#.#.##.#.##.#.##.#.##..###..##.###.####..###.#....##.#.##..##.#####.#.#######.#.##.#.####.###.#....##.##...##.####.##.#.##.##.##.############.#.###..###.......#####.##..####...#..###.##.######.##.#.###....##....##.....#.#####..###.#.###.####....###...##.......##...#.##.###.#.#.###.#.#..#.##.#####....##.#..##.###.##.#.##....##...#
##.#.#...##.######.#...##.#.#..#.##.#.#..##.#.##...##.##.##.#.#.####......##.##..#.#.....#..###.....#.#..##...#..##.###...###..###.#...#.#.#..##.##..#.#.##.###....#.##.######.#.##.##..#..##..###.##.#.#.#...##.##..#.#.#...##..####..#####.#.#.#.##.....#......#.####.#.###.####.##.##..###..#..##.#.#.##..#...#####..##.#.####....###.##.......#####..#.###
#....##.##...##.##.##.##..#.##...##.#.##.##....##.##..#..#....#.#.##.##.#....###.#.###.#...##.#.#####.##.####.##.##.##..###...###....#.#.#.#.###..##...#......###.##.##.#.#....###...##.##.###......#.#...#.#.#..#..##.#.#######..##..####.......#..##.##.##.#####..##..#..#...######..##...##.#.##..#.#..##...#...#.##.##....######.##...###.#####..###.#.#.#
####.##..###.#..##.##.###.#..###.#..#.##..##.#.....##.##.####.#......#..#.##..##....#####.##..#.#.#.#..#.#.#...#.....##...###...####.###.....#.##..###.#.##.#......#.##...####..###.##..#...#..####.....###.####.#.##..#....#####..##..#.#####.###.######.....##.##..#.##.##.###..#.##.#..####.#..##.#.##.##.#.#####.....#.##...##.#....###.....#.##.#...#...#
#....##.##...#.##..#....#.#.##...##....##.####.###.....#.###..######.########.##.####.##...##.#...#.#.##.#.###.#####.#..###.##.##.#..###.#.#....##.#...###########.#.###.###...##.#..##.###.###########.#.#..#.#....##.####..##.##.##.##.##.##..#...#.#...##.###.#..##..#..#.#.##...##.#.###.....##..#.#..##.####..#####.#.####.#..####.#.##.####.##.###...###
####.##..###....##.####.#.#..##.##..#.##..#.####.#####...#.##.#.####.###.#.....#...##....#.#..#.###....#.#..##.#...#.##..##.....#.##.#.#####.#####.###..#..#.#.#......##.#.#.#....#.##..##..##..........#.#.##.###.##...#.#.##.....##.##.#..##.##.###.######.......##..##.##.#.####.#..#.#.##.####..##.##.##..#.##..##.#.#.#.#####.##.#.#..#..##..##..###.####
##.#.##.##.###.##..#.#......##..##.######.#..##.....####.#...........#.....###...#########.##.#..####.##...##..###.#..##.######.#........##..##.#..##..##.##.....#.##......###.####.#..####.###########.#...##.##..##.###.#.######.##.##.##.#..##.#...#.##.##.######..###.##....##..##.#.#.#....##.###.......##.#..###.#.#.#.#.#.#.#....##.#.##..###.##...#..#
#....##....#...###...#.####.##.###.#.##.....##..#.#...#..#########.####.#####..#..##..###.....#.##.##.####..##.#...##..#..####....###.######..#.##..##.##.####.#.######.#####...#.#.##.##...#.######....##.##...##.#...##.#.#.##.#.##..#......##..#.###.#..#.....####.##...##.#####........#.####..#.######.##..##.#.#.#.#.....#.#.####.#.....##.##...###...##
##.#..####.###..####.#.##...##..#..#..#####.##.######.##.#.###..###########.#####....##.###.#...##.#..#.#..##..###..##...##..###.##.#####.#..##.###....##....#####......##..###.#.#.#..####.#.#....####.....###....#.#.##...#.##.#.###.######..##...#.#.##...###.#.#...###.##.##.#########........##..#.#.#..##..#.........#####...####.##.##.#...#.#.....#..#
####.##.##.####..##..###..#..#.##.##.##.....####.#.##....#.#.##..##..#.#.....#....##.....#####.###...##.##..#.####.#####.#..##.#..#..##.#.##.##.#.####....####..####.##.#..####.....##.#.##...####..#.#####.#.####.###.####.........##.#....##.####...#..##.######.##.####.#.......###.....#########.##.....####.#.###.#.#.....###.#..#.#####.#.#####.##.#####
#.#..##..#.#..##.###.####.##.#.#..##..#####.#.##....####...#....##..##.#.###.##.#.######.........##.##...#.##..#....##...#.##..##.#.###...#..##....##..####..##...#####.#.##..#####.##....#.###.###.#.#........###.##....###.###.##.##.###.##....###.##.##.....##..#...#.#...#.#####.#####....####.#..##.####.#..#.########.####.#.##...#.##....#.##...###.###
#.##.###...##........#..###......####.##..#.#.##.##..#.###.##.#....###.#####..#####.##...#######..#.####...###.##.#..###....##....#...###.##..##.#####...##.#####..#..#.#..#.##.....####.##..##.#.....#######.##.#.###.###.#######..#...##.##.####.#.#..##.#######.###.....######.##..##...####..#.##.##...##.##...#..#..##.#..#.#.####...##.##....##.###..#.#
#.##...##.##..#.####.#.#######.###.#..###...#.######.......#######.#.#.###.##.##.##..###.#...##..##..##..#.#...#####..###.###..##.#.###.#.##.###.#.##..###..##.###.##.....##..#####...##..##..#.##.##.#.#.#.#.#..#.#.#..##..#....##.##.##..##..##..#.#.##.......##..###.#####.##..##.#####.###..##.##.#..###..####...##.######.#...#.##.##########.##.#.#.##.#
#.#..####.########.#....#..###.###.##...###.#.#..#.##.##.#..##.#.........#.##.##..##..######.##.####.#..######.#.#...##....#####.....##.#.#..##.....##.#.#.##.......#.###.##.##...##.####..#.##..####.#.#.....#.##.#.##..##.##.###..##.###..##..##.#.#.#..#######..##.#...#.#..##.##..##...#.##....##.##.#.#.##.##.###..#.###..###.#.##..##.##...#.##.#...##.#
#.##..##....##.....####.#.##.....#.##.#####.#.#.##.########..#.#########.#.##.##.##..##.##......##.#.##...##.#.#.#.#..##.#..#.###.#####.#.##..###.###..#....#######.###....#..##.##..#.##.##..##..##....#####.#.##.#....##.....#.##..#..###..##..#.#.#.#.####..###.##...###.#.##..##.#####.#..##.###..##.#.#.##.#....#.##.#.##..##.#.###..#.##.#....#.#.####.#
#.#..#####.#######.#.......###.###.#...##........#..###.#.##....#..##.#..#.##.....##.##.#######.##......####.#.#.###.######.#.#...#.#.#.#..##.#.#..###.#.####.###....#####...##..###.#.#...#.####.###.#...###.#.##.#.##.######....##.#.##.##....##.#..........##.#.###.##.....##.##...##...#.###..##.##..#.#.##.#.####.##...###..#...#.#.##..######...#.##...#
#.##.##.##..#.#....#####.####....#.###..#######.##.##.#.#..####.##.#..##....####.##..##..#..#.#.####.##..##....#..##..#.#.#.#.###.#.#.#.#.##....#.##.#.#.#.##.#.####.#.#.#.#####.#.#...##.##..##....####.##.....##.####.#.#..###.##..#.##..###.##..#.########.#..#.#....##.#.##..###.#####.#.#.##.##.#..##.#.#.....##...##.##.##.###...#.##.##..#####.#....###
#.##.##..##.#.#.##.......#.#..####..##.##.#.#.........#.##.#.#...#.#.######..#.#.###..##.##......##..#########.#.####.#.#.#.#.##..#.#.#.#..##.#...##.#...#..#.#.#.#......#.#####.#.###.#...##..##.####.#..###.###...#.#.#.##..##.###.#..##.##...##......##.#####...###.##..#####.#.#.#.#.....#....##...###.#.#.###..##.##..##.##.##..###.....##.........#.##.#
#.##.##.##..#.##########.....##.##.##..#....#######.###..#.#.###.#...##.#.##.#.#...#.##..###.#.#..##..##..##.#....##........#.###.........######.##..###.#.##.....######.#.#.##....##....####.###..##....##.....###.#.#....##.#...##.#.##...###.##.######....##..#####.###..#.##.#.#.#...##.##.####..####........##.....##..#.##..##.##..##.######.##.######.#
#.##..#.###...##.##..#.#####.#..##.###.##.#.##....#...##.....###...###..#.#..#.###...#..##.#####.##..##..##..####..##.##.#.##.#...#.##.##.##.#.#.##.##.#.#..####.##.#.#..#.#.###.#######.#.#..#.##..#.#.####.#.####.#.##.####.###.##.#..##.##.#.#.....#.####..##.###....##.##....#...#####......#.#.####..########..#.#..#.##.###.......#####..#####...#...#.#
#.###...#.##.##...##.#.#.......##..#.#.####.#####.#.########.#.###...##...##.#.#.###.##.##..#.#...##..##....##.##.######.#.##.###.#######.##.#.#.##.##.#.#.###....#.#.##...#.#.#...##.#..#.#.##..#.####.##.###..#.#.#.##..##......##...##..##.#...#.#.#..####.#..#.####.##.#####.##.##...##.#####.#....##.###..#.#########.##...####.####..###...##..#...###.#
#.#.###.#.#..###.##....##.#.##..##.#.#..##...##.#....#.##.......####.####.##...#..##.##..##.....#..##..##.###...#...##.###.##.........#.#.##...#.##..#.#.#...####......###...#.#.####.##.#.#..##.#.###.......##.....#.#..########..#.#..##.#..#.###.#.#.##..#.#.##.#........##.......##.##..##.##.#.#####.#.##....##.##..#.#..###..#...#..##...###..###.###..#
#.#.##....#.##....###.###.###..###...##..##.##..###.##.#..##.##..#...#.#...###.#.##...#.###.#.#.##..#.##....###.#.####.##..###.##.#####.#.####.#..##.#.#.#.####.##.#.#..####......#.#.##.#.#.##.....#..############...#.##.##.####.####.##.##....######..##.....##.######.#####.#.##.......##..##.....##.....##.###...##...#.##.##...###.#####.##..######.##.#
#.#....##....#.####...#.######.#.###..#.###.###.#...##.#########...#...###.##.......#...#.########.##.###.###...#..##..#..##.####.#.##..#.#....##.##...#.#.##...####.##......##.###.#.##.#....#.###.##..##..##......#....#.#..#.#...##..##.#..##.....##.###.######.#..##..#..######..##.######.#..#####..#####......######.#.##.####.#...#.##..#..##.#.......#
#.########.#....#.###....##.#....##..##..#...##.###.##..######.#######.#.#.########.#.#....##..#...#...##..####.##..##.##.##.##......#.#######.##..###...#..###...##########..###...#.##.#.#######..##.###.####.######.###.##...###..##.#..##.########..##..##.#.#.#.##..##.##.#..##.#...##....#.##.##..###..###.####.##.....##..#.#.#.###.###.##.#....###.###
#.#.####.######.#..#####.#....##....####.##.###.#.#.##.##.##.#.#.##.#........##..#######.#..##.###.#.####.##.##.###....##.##.#..######...##.......######.#.##.#.###.##.##.###..####.#..#....##.##..##..#...#.####.##.#..##..###.#.##.#..##..#.#.##.##..####.#....#.#....###.##...#####.#######.#.##.#..##.#.##.#.##....#####..##.#.#.....#.#.#.#....########.#
#.........#.###.#.##.......##.#..##..##..##.#...#.#....##....#........#.#.##....##.#.#.####.##...#...###..##..#.#.#.##.....#.##.#.#.####.###.####.##..#..#.##....##.#.........##....##.#.#####.###.##.##.###.#.#.....##.##.##.....##.##.###.....#...##...##...##.#.####..#...###..#.#...#.##......#.#.###...##....####..##.#.##..#...#####...#.#.####.....##.#
##.###.#.##........##.#######.#####.##..##....#.#.#.########.########.#.#######.#..#.#.####.####.##.##.##.###.#...######.#...##.#....##..#.#####...##.##...##.#####.####.####.###.#..#.#..###...#..##.#...##.#.##.##....##.#..###.##.....###.##.#.###..####.######...###.#.###.#.##...#.#..####.#.......##.######..##..##..#..##.##.###.####...#.####.#####..#
#####..#..#######.######..#.###.#...###..######...#...##..#...###..#######......##...#.#.#...##..##....##.#.....###..#######.#..#.####..##..#..##.##..#..###....##..##.###.#...#####.#.#.##.###...##....###..#.########.##.####...#####.##.#.#.....###..#.......##.###...#.#.#....##.##.##..######.#######.##...##....####.#.###..#.##..#..###.........#.#..##
#.#.#####......##.#.##.##....#..###.#...##......#.#.#####...#...##.#..##.#.####.####...#.###....###.##.#..#####...##.#.##.#..##......##..##...##...##.##.#.####.##.###.##....#..##.#.#.#.##..####.###.#...##.#..##.##....#..###.#..#..#.##.#.#####...##.#.########..####.#...#.#####.######....#.#..#.##.#.##.#.#..##.##.#.#.#.##....##...##.##.#####.##.##..#
#.......######....#.##..####.#.##...#.###########.......#####.###....##..#.#.....#####....#####.#.#.#####.#.##..###..#.#..##.##.######..#####.####.##....#...##.##...#..#######......#....##..##...#####.##..#.###..####...##.####.##.#.##.####....###........##.##..##..#.#....###...###.####.#.##....#.#.##.####.##.##.#.....##.#######.#...#....####...#.##
#.#####........##.#.###..#.#....#.#...###...#.##..##.####.....#.##.#..##.#######.......####.#...#.#.#.##.....##..###.#.##.#..........##...#.#..#.#.#####.#.####..##.##.##.#.#.###.##.#.#####.####.##.##...##.#.#.##..##..#..#.##.#.........##.###.##...#.#######.##.####.#####.##.##.##.#...#..#.##.####.#.##..##..##.##...#.###.....##.#.###.#.####.####.#.##
###.....####.#.#.....###...####.####.##.###.#....#####..#####.#.#####..#..##..###.#.##..#...###.#......##.##..##..##....#.##.#########..#.#.#.##.....#.#.#.##.##.#..##.#..#...######.#.#.##...#.#.#..###.##..#.#.###..#####.#.##.####.##.###......##.#####.#.#.#..#.##.#.###...##.##..#.###.##.#.#...#.#....##..##.##..##.##.#.##.####..#.##......##..##.....#
###.#.#.###..####.##.#.###.##....##..##..##.###.##...##.#.......#.#.##...##..##...#####.###.#.....##.########....####.#....#.#.##..##..####.#.######........#.##...##..##...#....#...#....##.##.#.#.##.#.###.#.#...##..##.#.#.##..#####..#.##.###.##...###...#.##....#.#.#.##.##..###.#.##...#.#.#.###...#.##..##...##.##.####.##..#.##.#.####.######..###.###
#.#######.#####.####....##.#####.###.##.##......#..####.#######.#.#..###..##..###.##........####.#####.#.#....##.#..######.#....##.##.##.#..#...##.######.#.#..###.##.##..#.####...#...#####.##......#.#.....#.#.####.##..#...##.##...##....###.#..#.###.#.###..###.##.#...##.##.##......#.#...#....####.#####..###..###...##..###.#.#..#.#.#....#.##.##.....#
#.#..#.#...##.#.##.##.####.#..#...##.##.#######.##..##...##.........##.#.##..##.###########.##.#.##.#..#.######....###.#.#.#.#####.##.#..##.##.##...###.###...##......#####.#....#.#.#..##....##.#####.#####.#.#.#.#...##.##.##..#..#######.##..##.#.##....#.##..........####..#.####.########...##.#..#..#..##..###..#..###..##.#.#.##.#.#.##.###..#.####.###
#.##.#.##.##........#.###..##.##.##..##..#.#.......##..#####.######....#.##.##..##.######...#..#..#.##...###.####.###......#.#.##..##...##..##..##.##.#..##.#..#.##.#..#########.#.###.######.##..##.#.#.#.....#...###.#..#...##.##.#.###.#....##.......#.##.#####.########.##....##...#.##.#..#.#####.##...##..##.#.##.##.##..#.#.#.##.#.#.##...##......#...#
#......##..###.##.#...#.##.......##.###.##.#####.#.###..##.######.####...##.##.##.......#.#.##.##.#.##.###....##..#.######...#..##..##.##..##..###..#.#.##..#########.##..######.####...#.#...##.##..#.#.#####...###.#.##.##.##........#..##.#..##.#########..##.#..#..#.#..#..#######...##.####...##..#..#####.............##...#.#.##...#.#..#####.#####.###
######....##....###.#....#######.##.#.#.##..##.###..##.###.##.....##...#.....#..#######...#.......#.#..#.####..##.#..#.#.###.#.####.##..##..##.#.##.#....##..##.#.##...#.##.#..#.##...#...###.#...#.##.#..##.###..#.............#.####.#.######..#......##...##..##.#.##.##...##.#.#...###...###.#####.##..##.####.####.##.###.###.#.##.###...###.##...#.#.###
#.#.#####.#######...##.###.###...##.#.#.##.##..###.##..#.#.######.###.######...##...#...####.#.##.#.#.##.#.###.#..#.##.....#....##..#..####.##.#.##.###.##..###...##.###.##.##.######.#.#..##.###.#.##.##......##...##.###.########....#.#.##.##.#.#########.##.##..#..#.##.####.#.###..##.###...###.#.###..#.#.#....#######...##....#..##..###.#.##.###.#.#.#
#.#.#.#....#.##...#.#...#......#......#.#...##.#.#..##.#.#..##....#.#.##.##..######...#.##...#.#..#.#.##.#..##.##.#..#.###...#.####.#.##.##.##.#.##.##...##...##.##...##.#..##....########..#..##.#....##.#########.##..#####.##..####.#.#.##..........##.#......##...##.....#.#.#.#...##...####.....#.#.#.##.....##...#...###.#####...####...#.#....#.#.#.#.#
#...#.####.#.####.#####...#.#.###.###.#...###..#...##..#.##.#####...###...##..#.#.##########.#.##......#.#.##..##...#######.####.##.#..#.#..##.......##.#####..#..##.##..#.##..####.###..##.#.##....####....#.##..#######.#.#.##.##.........#####.######..##.#######.#######.#.#.#...#.###.##..#####..........###..#.#...###....##...###.#..###.##.###...#.#.#
#.#...........#.#####...#.#.###.####....######.###..##.#.##.#.#####..###.##..##...####.#.#####.#..####.#...###..###..##..##.#.##.#..##...##..#######.#.....##.##.###.###...###.#.#..#.##.......##.###..##.###.#..###..#.......#...######.#####.##......##.#...###.#...#.#........###.###.#..##.#..####.####.#..#########..####.####.##.#.##...#.##.#.#.###...#
####.###.#.##.#..##.#########....#...#.####....####.##.#.#....#..##.##....##..###.#........#####.##..#.##.##.#.#####.##.##....#..##..###..##.#.##....###.###...#.#.#..###.##.#.#.##.#.#..###.#........###.....##...##.#######.##.##.#....#.##.....#######.##.##...##.##.####.#####....##.##.#....##.#..#.#####...##.#.#####.#...##.....#.##.###.#..#.......#.#
############....##..##.#.#.#####...###.#..####.#.##.##.#.####.#.##...###.##..###..#######.##..######.......#.#.##.##....##.####.##..##.#.##.....##.#..##...##.##.#.#.##.#.##..........#####..#.###.##.#...########.#....#..#...#.##.####.#.######....###..##..##.###.##........##..####...#.####.##.##.#.#.#####.........##.##.####.##.#.#..###.##.#.#########
#.##.....#####.####..#.#.........#####...###...#.#..##...##.....##.###....##.##..##.#..##.#..##......#.#.#......#....##.#....##.##.##.....#####.#####....###..........#....##########..##...####.#.######.#.#.##.#.####.##.###.#.##.#.......##.#..####.##.#..##...#...####.##.##..###.##.##..#.#.##.#..#....#.####.#.######....#.#...###.##.#.#.##.#.....#...#
#..####.##..##..#.##...############....###.###.#.#.#####..####.##..#.####.....##.##.##......####.#.#.######.###.######....####..##..###.###......##.####...###.###.#.##.####.....#####.#..#.#........##.#.#...##.#.##.#.#.........#.####.##..#.##.##....#.#.####.##.#####..#..##.##.#.##..##.#.#..#.##.#.####....#####.##.##.#.#.###..##.##.#.#.##.#.#####.###
#.##....###..#.##.####.......#..#.####...#.##....#..##...##.....##.#.#....###..#.#...######.##.#########..####...######.#..#.##..#.##.#..###.#.####.##.#.####...#######.##.#####.#.....#########.#.####.#...####.#.#....####.#.##...##.####.##..#..####.#.#.#.#..##..##.#####....##.#.##.###.#.#.##...........######...#..####.#.##..###.##.#.#..#.#.........#
#.####.##.##.#.##.#.#..#####.##.#......###..####.##..###..#####.##.#.###.#####.#.#.###.#.##.#..##.##...##..#.##.##....####.#..##.#......##.###.##.#.#..#..##..###.#.##..##..#.##.#####...#.##.####.#.#..###.##.#.#.###.###...###..#....##....##...##.##.....#.##....###...#.###.###...#..#.#.#.#..###.##.####..#.#.###...##.#....###.#.#....#.##.#...##.##.###
#.#.#.............#.##.#..........####.#...##....##.##...##..#...#.#.#####.....#.#..##...#....##..####..##.#..#..#.##...##...##..#.######..##...#.#.##.#.##..###..#.###.###...##.#.#.###.#.....##..#.##.#....#.#.#.#.#.##..#.########.####.#..##.###.####.###.##.####...#.#.......###.#.##.#.#...##.#..#..######.#.#.#.###..##.###.....####...##...#######...#
#...###.#########.#..#.##.#####.#.###..#.#######.##..##.####.###...#.#..######.....#####.###.##..##....##..##...####..#.###.####.#..##..##..##.##.#.#..#.##.##.##.#..##.#.###.##.......#.#####....##.#..###.##.....#.#.#######.##..#....####.##.......###...#.##..#####.#########........#.#.##.###...#####..#.#.#.#....###.#....###.####...#..###.......#.###
#.#..##.#....###....##.############.##.#..##..#..###.##.#.#...#..#...##....#######..##...#.#..##..####.###.####..##..####.#.##.....##..##..##..##...##...##.##.##.#.##..#.##..########....#.#####..#...##.#.######.#.#.#.####..###.###.##.##..#.#.###.#...###.##.##.##..##..#.####.##.####.#.#......###.#.##.......#.####...##.###.#.##.##.#####...###########
####..####.#.....##.####.#.....#.#.....##..##...##....#.#.###.####.####.##....#.##.#####.#...####.......##..####..##.#.#..#..##.##..##..##.##.#####....###...#.##.#.###...#..##.#...###.#....#.###.#.####.#.#.##...#.#.#.#.#..##.......#..##.####..####.#..##.#..##..##..##.#.#.##.#######...######...#.#..###.###.#.#.###.##...#..#.##.#....#####..##.##.##.#
##.##.##.###.##.##...##..#####.....#.#..#.#####..####.....##...##...##..#..##.......#.#..#.###.###.##.#....##.###.##...##.##.######..#.###..#..##.####.....###.##...#.###...##..###...####.#..........#.#.#.#..###.....#.#.##..##.####.#.##..#.##.##.#####.#....####.#..##....#.#..#.#...###.#.###..###...##.....###....#..####.#.##.#....#.##.#.##.##..#..#.#
#.........#..######.####...#.#####.####....##.#.##..#####..##.##..##############.##...##.#.##..#...#######.........###..#....#..##..##.#.##.#.##..###..#####....#.#...##..####.##.#.########.#.#####.##.......##...###.#.#.##.#####....#.###.#..#.....##.....#.###.....######.#.##...##.##...#...##.##..######.####..#.##.##..#.#.##.###.#####.#.....##.#.##.#
####.#.##...##.##.#.#.####.........##.####.##.#....##...##.......##..#.##.#.####.#..#....#..##.#####.#.....#.#.###..###.#.#.##.####.##...##.#.###.#.##...#.##.#######..##.#..#.##.#..##.#.#..#.#......####.######.###....#.....#..####....##.##.#.########.###...#####...#.#..#.####..#.####...#.#...#.###.##...#.#.##.#...##.....##.#.#.#.##..####.##.....#.#
##.#.#..##.##.......#..#.####.#.##.##.##........#######..######.###.##.##.#.#....#######...##..#.##....###########.##.#.###.#..#.#..#..#.##.#..##.#....###.##..#.#..##......##.#....##..#.##########.##......#.####.####.###.#...##.#####.##.#.......#.##....#####.#.##.##.##...#.#..##..#.##.#####.##.#...##.###.#..#####..#####.##.#.#.#.##.##.#.....###.#.#
#..################.#.##.#.##.####.#.....#.####..##.#.#.##..#.#.##.....##...########.###.#####....###.##............#.#..#....##.##...#####.##.##.####..##.##.##.#.########..#.###.####...#..##.###...#####.##..##...#.#.#.#.###.##.#.###......#######.#..##...##..#..#.##.####.#.#.####.#.##..##........####.....##..#..##..##....#...#...##.##.##.#.##.###.#
##..#.#.#.#.#.......#..#.#..####.#######.#.#####.##...#.###.#.#.###.#######.....##.........##..####.######.########.#.##.#.#.###..##.#####...#.##.#....##...#.##.#.##..##.##....##.##.###.#.##..#.##.###.#...##..###.#.#.#.####...........####...#.##....#########.##.#..#.#....#.#.#.#.....#.##..#########.##.######...##..######.###...###..##.#..###...##.#
###.#.#...#.#######...##.#.##.....#.#.##.#.#......###....#..#.#......#.##.####.##..###.#.#####.###..##..#####.#.#..........#.#.##.#..#.#.#.###.#..####.##.###.##....#.##...####.##..#.#......##.#.#..#.#.##.####.##.........##..#.#########.##.###..####.##.#.##.#....#.##.####.#.#.#.#####...##.##...###...##..#.#.#.#####.#.#......###.##..###.##...###.#..#
#.#.#.###.#.........#..#...####.#...#.###########.#.##.#.##...#####.##.##.##.#.#########.##.##.#.#.####.#.#.#...###.###.#.####.##.##.#...#.#.#.#.##....#...##.###.###.####.###...##.#.######.##...##.....##.#.#...####.########.#.##..#..........##..##...#.#.##.###.##..#.#..........##.####.##.##.###.###.##.##.#.#.#.##..#.##.#######..#.##...##.###...#.##
#.#...#.#.############.#.###.######...#.#.#.###.#.#.####..###...#.#.#...#.#.......#..##...#.##.#....##....#.###.#.###.###..##.....##.###.#.#......####.###.....##.##..#.##...##.##.....###....###....#####..#.#.####.#.#.#.##.#######.########.#####....###.#.##..#...##...######.######.#....#..#...#..#.#.#...#.#.#.#.###...##.#..##.#.##.####......#.###..#
#.###...#.##.#.#.####.....##.#.#....#.#.#............##..##.###.#.#...#...#######.##.####........##..####...#.#...##...###..#####.#..##..#.#.######....#...#.###...##.#.#..#....####.###.####.#.####.###.#.##.#..##.........#.##..##...##..#.#.#.#.#.####...#..##.#.####.#####..#.#..#.#.####.##.##.##.##.#.###...#.#.#...###.#..#.##.....#..##..######...#.##
#.#.###...##...#....###.####...####.#...############.###.#..#.#.#.#.#######...........######.#.#####.#..##.##.###.###.##.##.#.#...##.##.##.#.#.##.##.#.###.#######.##...#####.###.#..##..###..#.###..#.#.#..#.#.#####.###.###.##.#####..##...#.#.#....##..###.##..#.#.#..#.#.##.#.#.##....##..#..##.........##..###.#.##.##.#.#.##..#.###.#.##..####..#.###..#
#.#.#.##.#####.####...#..#.#.#.#..#####.##.#..........##.##.........##.##.###.######.##..#.#######.#...##...#.##....#.#..#..#.###.#..##.##.....#...###.#....##.##...##.##..##..##...##..##.##.#.#.##.#.#.#.##....##.#####...#.##..##...#####.......#.####.##...##.#.#.##.#...##......#.######.##.##.##########.##.....##.#..#......####...#.##.##..#.##.#.#.##
#.#...#....##....####.#.##.###.#.##..#...#.##########.#.....#.###.###..##...###.#.....##.#.##.##.#...###..###.#..##.#.##.##.....#.##.#..#..#####.####..####.##.####.##.##.##..#####.###.#..##.....#....#....#.##..#.##....###..##..###.#########.###.#.##..##.##..#.#.#....#.#####.###..##.##.#.......##.#.##...#.###.##.##.#.####.#.####...#...##...##......#
#.###...########.#......##.##.....##.###.#.##.#.##....####.######.###.#####.##..#####....#.##.##.###...##..##.#####.#.##.#####.##.##.##.##...##...##..##..#.#..#.##.##..#.###..#.#..#.#.##..#####...####.########.#..####.#...##..###...##.###...#.###.#..###..##.#...###.####.#...##..##..#..##.####.#.....##.##...#.##..#.#.#.####.#.####...######..#.######
#.#.###.##..##.#.######..#..###.#..#.....#..#.#..####.#.##.#.#....#.#.##.#...##.#...####...#...#.#.##.##..##...##.....#...##.#.##....#...##.#####..##..##...#.##..#.###.#.#.#.##.##...#..##.......#..###..#.##.#..#.##..#.#.#####.#.###....#.###.#..##.##.#.#.##..###..##.#.##.###.###..##.#.###..######.#####....#######.#.#.....##....#####..#.#.##.#.#.#.##
#.#......#.##....##.....##.##.####.#####.##.....##.......###.####.#.#..#.#.###..#.###.####...#......#..##.#..########.##.##....#####.##.###...####.#..#####.#.##.##.#.#.....#.##..###.##.####.######...##.#.#..##.#..##.#.#..#.#.....####.##.#.....###.##...#..##.#.#.##..#.#..#.#..##.##....##..##.##....##.#.##.#.##.#....#.##.#####.##.#.##...#.#.........#
#.#.##.#...#####..#####.#...#.##.#.##.#...#####.#######.###...#...#.#.##.#..#..##.##..#..##.##.#.##...###.##.###..........####..##......#...###..#.#.##..##.#.#..##.#.####.##..#.###..##..######.#.#.####.#...##....##..#.#.##.#####......##.##.##.#.#..##.##.###.#....##.....##.##..#.#####..#.###..#.####..#.####..#.#.##.#..####....#..#.#..###.#.#########
#.#######.##.##..###.#....###.#.......###.#.#...#.##......###...#......#.##.##..#.#..##.#############.##.......######.###.##.##..###.##...###.##.#.#..##.#....#.##..#.##....##...#.##.##.##..#.#.....##...#.#######..##......#.#.########..#..####.#.##.##....#.#.####.###.####..##.##.#...##.#.....##.#.##.##..##..##.####.#.##..####.##.#.##..##.#.#.##..###
#.##.###..#...#.##...#.##..##.#######.....#.###.#..###.####.###.###.####.#..##.##.##.#..##.#..#.#.#....#####.###.#.#####..#...#.##.######...#.##.#.#.###...##.#..##...####.####.##.#..#...##.#...###.##.#....##.#.#.######.###.#...##.####.#.###.....##.##.####...#.#..#......##....##.###..#.##.##.......#....###.###..#.#...###..##...#.#.#..##..#....##...#
#.#....##.###.#.####....##.##.###.#.#####.#.......##.#.##...#######.#.##.##.....#..#.#.##..##...#.####..#.##..##.....#.##.###...##.##..##.###.#..#.#...######.#.##..###.#...##..##.##.#.#..#.#####...####.####......#..##..##....###...........##.#####.##....#.#...##.##.###..##.####.####...##..#########.####.#.##..##.#.###.##..#.#...#.#.####...##.##.###
#.####..#.##..#..#.##.#.#...#.#.#.#.#.#.#.##.####..#.#..##.##..##.........#####...##.#..##..###.#.#####....##..#####.#.#....#.#.....##.##.#.#.##.#...####.#.#....##.#.#.###..##.#..##.####.#..######..###.##.###.##...####.##.####.#########.###...#.#..##.####.###..#.##.#.####...##..#.####..##..#...###.....#...###..#.#.###.##.######.#.#..#.###.#####...#
#.#.###.#.###...##.########...........#...########.#.#.##...##..#####.######..###..#.#.##..##...........####..##.#...#...##.######.##..##.#.#.#..###..#.#.#.#.####..#.#.#.#.##..#.###..##..#.##...###.#.#..#...#.####.##.#.....#...#.###.........###.##.##.#.####.##.#.##....##..###..##.#.#..##..##.###.##.####.###...##.....#.##..##........##.###.#.##..###
#.......#..####.##...#.##.##.#.##.###.###..###.........##.#..#.##..##.#.##.##..###.#.#..##.####.######.######..#.###.##.###..##.##.###.##.....##.#.#.##.#...#....##.#.#.#...##.##.#.##.###.#..###..##.#.##.#.#####.##.##.##.####.###.#.####.##.#.....##..#.#..##..##.#..####..#.##.##.#....##..##..#...#.##....#.#.###..###.###.#..#######.####..#.#....#.##.#
##.####.#.##.....##.##.#...#########...###.#.########.######....##.#..#.##.###.....#.#.##..#.######....##.....##.##...###...##.....#.#.####.####.#.#.##.###...####....#.#.###...#.#.##..##.##.#.##.#..#.##.#.##.##.....#.#........##.#.##....######.##..##.#.##..##....##.###.......#.##.###..###.##.#.#.##.####.#.#.##..##..##.##.#.#.#.....##.##...####....#
#######...######....#..###.##.##.#...#.....#.##....##.#########.##.##.#.##..####.#......##.#.#.##.####.######..#.####..####..#####...#..#....##.........#####..####.###...###.#...#.##.###.##.#.#..##.#.##...##..####.##...#.######..#.##.#####......##.##.#..##.#####.##.#.####.##.#.#....##.##..##.###.##..###...#.#..###.##..#..#.#.###.###...#.#.#.##.####
#.##..###..##.####.##.##...##....######.##....####.#...##.#.##..##.##......##..#####.####..#........##..###.#.##..#.##...##.##.##..#.##.##.#..###.###.###.#.#.##..#..###.##.#####.#.##.##.....#.#.##..#..##.##..###.#.#..#.###.##.#.##..###..#..####.##.#....##..#.#...##...##....###.#.####...##..#..##....##.#.###.##.#.#..##...##...##..##..#####.#.......#
#..##.###.##..#..#.##..###..####...##.####.####......###....###.##..##.#######..#..#..#.##.########..#.##.....###...##.###...#.#####.##.#####..##..######.#....##.##..##.#..##.......#..###.#.....###...##...##..#......#####.......##.#####.#####....#.#.##..##.#.###.####..####..##.#.#..###.###...####.####.#.#.#.##...##....######.###..##...##..#.#######
##.#..#....##.##.#.###.#...##..###.....#.#..#.######.#.####.#......##..##.##.##.##.#.##.#..#.####.##....###.#...##.##..#.###.....##..#...#####..##..##..#.###.##...##..#...########.##.##########.#.###.#..#..##.####.###.#.######.##...#.#...##.####...#.######.#.#.#..###.###.#.##......##.#.#.#.###.##..#.#.......##.#####.###...#...##.##..#####...#.##..#
#..##.####..#....#..#..##.##..##.#####...##.#.#........#..#.#.#.##..##.#..##.##..#.#....##.#.#....#####.#.#.###.....##.#.#.#####..##.##.##.##..####..##.#.#.#.###.####.#.###.##.#...##..#.##.##.........#.##.###.#.#......#.##.#.#..###...##.##.....###.#.#.#.#....#.##.#.#.##..#.#####.###..#.#.#..##..#.##.#.#######...##.#..####.###.##..##..####.###..##.#
##.##..####...##.##.##.#.....###..#..###.#..#.#.##.###.##.#.#######......##..###.#.#.####....##.#.#.....#.###.#####.#..#....###..###.##.....#.###...###.#.#.#.#.#..#.#.#.#.#.#..###..##.#.##....###.###.#.##.#...#.##.#####.#..#.##..#..#.#...#####...#.#.....##.#...##.#.#.###.#..####...##.#.#.#.###.##..#...##....##.##..##..##..##.....####..##...##.##..#
#..###.#.######...#......###.#.##.##.....#.##.######.#.##.#.###...######.###...#.....##.####..###.#####...##..#.###.##...####.##.#.#..#.###.....##.##.#.#...#.#.##...#.#.#...##.#...###.#..######.####.....#####...#..#..##.##....##.##.###.#...#.###.#.#.##.######.###...#..##...##..#.####.#.#.#......##...###..#.###..##.#..###.####.#.##..##.##.####.##.##
##..#.....#######.########.#.#.##..#.###.#.##..#.##..#.#..#.#.###.#...#..#.###.#####..#.##...###.....####.###.#.....###.###..........##########.#...#.#.###.#.#..##.##.#.#.####.#.#.#.#.#.###..##.##.####.###....#.##...##...#.#####.....######.........#.#####.#...#.#.#.#.#####.###...##.#.#.#...########.##.#.####.#.##..#.##......#.#..##.##.##..#.#.##..#
###.##.####...#.........##.#.#.##.#####.....##....##.#.##.#.#.##..###.##.#.#...#.#.#.##..###.##..###.#....#.#.#####.#.#...#######.####.#..#.....#.###.#..#..#.##.##..#.#....##..###.#.#.#...##.##.##..###.#.###.##.#..######...###.#####..###...##.##.#....##.#.###.#.###.#..#.#...#..###........####..#.##..#.#.#.##.#..##.#.###.########..#.##.#..##....##.#
#....#....###.#.#.#.#.#..#.#...##.#.#...#.#.##.#.##....##......##.#.#......###.......#..##.#..##...######.#.#.#.#.#.....###...###.##.#.##.#####...##..##.##....#..##.#...##..##..#..#...#.###.....###.#.#.#..####..##.##.##..###....##...##.#########.####.##.#.#...#.##..##...###...#######.###..#.##.#.##.##.#........##..#.#.#..##.##...##.##...##..#.###.#
####.#.####.#.##########...###..#.#.#####.#..#.#######.##.#.##....#.######.####.####...###.##....####.........#.#...###.#.###.#.#.##.#.##..##.###..##..#.#..#.##.##..##.####.###.##.###.....#####..#..#.#...##.#..##......##...#.##....###..#.###.....#.....#.#.###.#.###....####..#.....##...#####.##...##.##.#.##.#######.#.#.#.##..##.#..#..##.####.###.#.#
#.......#.#....#.#.#..###.##.##.......######.#..##..#..##.#####.#...#.####.#.####....#..#...##.#.#..#########...##.##...#.##....#..#.#..#.##...##.###.##.##.####.#..##....####...#....###.###...##.##...###.##.##.######.##..#########...##.#.#.##########.##.#...#.#.#.###.##..#####.####..###.#....###.##.#..#..####..##....#....#.######...##..#.#...##...#
####.##.#.####.#.#.#.##.#.#..########.#.##.#.##..##.#.#####...#####........#.#..####.##.#.######...##..#..##..#..######....####.##...##.#.####..#.##..##.##..##..##.##.####.####.####...#.#.###.#...##.##.#.#..#....##...##.##.##.##.#.###..#.#..#.###.##...#.###.#.....##...##..###....###.#.#...#.###..#..##...###.##.#####.#.####..#.#.###..##.....####.###
#....#......##.#.#.#.##.#.##...##.......##....#.##..#...#####.##.#########.....###...####.#.#.####.###.##..#.###..#.#.###.###......####.#.#.###....##.#...##.##.##......###..##.....###.....##..###.#...#.#.#.##.#######..#.##..#.##.....##.#.#.##......###.#.##..#.########..#.##.##.###.......###.#.##.#.##..###.#.##..##.#......##.#...###.##..######.#...#
#.#.##.####...............###.#######.#.#####....##.#.###.#.#...........####.###.###...##...#.#....#.#..##.###.#.##...###.#.######..#.#.#.#..#####.##.##.##...#..##.#.###.##..###.#...###.#####.##....#...........#.#.###....##.#.#..#####..#.#.#######.###....##.#......####.#..#.#...######.###.###.##.#.##.##.#.#.##.##....#######.##.##.#.###....##..#.###
#####..#....##.#.#.#####.##.#..#.#..###.#.#.####.#....#.#...######.####.#.##.#.#.#.#.####.###.##.#.#...##...##.#..###.#.#....###.##.#.#.#.#.##..##.##.#...###.#.##..####..#..##.####.##....##.#.#####.####.##.#####.#.....####..#.#.###.##.##.#..##.....#.###.###...######.#..#.##.###.#..##.......##....#.##......#.##.####.##.#.##........#..##.######.#.###
#...######.#######.#...#.##.#.##.#.###........##...####.###..##.##.#.........#.#.#.#.##.#...#.####.#.######....#.##.#...###.##......#.#.#...##.###.##.###.##..#..#.##..##.#.##...##...##.#..#.#...#.#####...#.#.#.#.#####.###..##.....#.##.##...#######.#.#.#.#.###.#.##.#.##.......##.##..##.#.########.#.##.######.##..#.#..#.#.#########.#.##...#.#.#.....#
##.##.##...#....######........#..#.#.########..#.#...#..####.#..##.#######.#.......#..#.#.###.#.#....###..####.#.#..##.##.#.#######.#.#.#.####.##......#...##.#.##.###.##....###..##.######.#.###.#..##.##.####...#.#.##....##..##.####.##.###.##.#...........#.#.#.#.##.#..###.######.##.##..###..#.#...#..#.##.#...##.##.#.##.#..##.#..........#.#.....#####
#..#...########........##.#.#...##.#.#.#..#.##.#####...##..#.##.####.#.#...##.##.#...##...##..#.####.#.##.##.....##.##.#.....##..#....#.#.#.#...#.####...#....#..#..##.#..#.##.#.###...###.....##...###.##..##..###.#.#..##.#..###.##.#.#...#.....##.##.#####.......#.##...##.#.#.###..#..###.##..##.###.#.##..#.#.###...#.#......###.#########.####.######..#
##...#.....###########.##.#####.##.#.#.##....#.##....#..##.......##....###.#########.####..##...#.#..#..#.######..#.#....##.####.####...#.#.#.#####.####.#.##.#.##.##....####..#.##..###.##.##..###.##...#.####.##..#.##.##...##....#...###...############.##.#####.#..#.#..#.#.#...##.##..##....##...##...##.##.#.#.##.##...######.#..##.###....##...##....##
###.#####.##...###......###...............##...#######.########.######...###.#..#.##..#.#.#####...##.##...#.#.###.#.#.####..##...##.###.#.#.#.#.##..#.##.#.#..#....##.####.###.#.###..#...#####.#.#..###.#.####..##.#.#######.#####.#.#####.#.#..##.##.#.#.##.###.#.#.#####.......####.###.##.#######..##.###..#.#.#.#..##.#..#.##..#.##..#.###.#####....#####
#.###.#.#.####...##.#.###########.#.##########..##.##..#.##.#....##.#..#####.##.#....##...#######.##.##.#......#....###.###.###.##....#.....#.#..##.#..######.#.#####.#.##..#..#.#.#.##.#.##........##......##..##..#.#.#.#....##......##.#.###.##..#....#.####.#.....#.##..###.###.#...##.#..#.#.##..##....##.#.#.#.##..#.####..##.#.###.......#.#.#.##.....#
#............###.########.#.#.....####.....###.###..##.#.#..##.#.#..##..##....#.####.##.#..##........####.####.###.###..#...#....####...###...#.###.#.#####.#....##.#....##.##...#.#.##.#####.#####.######.####.###.#.#.#.###.#####.####..#.##...##...##.#..##....##.##.#######..#..###..#.#.##.#..##..##.###........##.##..#.#.##..#...#######.#.#.#..####.##
#.##########........##........##.###.#####.#.#.#.#.##....#.#####.##....######.#.##....###.##..####.#..######.........##...#.####..#.#####.###.#.##.....#.#....#.###...#.###.####.#...##....####......##....#..#..##...#.#.#....##.#.##.#.##..#.########....##..#.##..##.#..##.#.##.##.##.#.#.##...##..##....##.##.####..##.##.#..#.##.###.#..##.#.#...########
#.#...#..########.#############..#...#..............####.#..#.##.#####...##.....###.#..##..####.##.##...##.##.###.#.####.##.##.##.#.#.##.........####.##.####.###.#.#####.#.#......####.####.######.######.##.#.#####.....#.####....##....##.....##.######..########......##.......##....#.#....#####.####.##..####..##.#...#.##.#......#.##........#..#...#.#
#####.##........#..##.#.........####.#######.##.###.#.##.#.##.#...##.#.########..#####..##..##...######.#...#######..#####.....#......########.###.#..##.##.#..#..#.##.##.#.#####.###.#.#.#..#.#.....##..#.##.#.##..#.#.#......####..##.###..#.#.##.#......##.#.##.###.#.########.######...####..##.#..###..##.#.###..#.#.###..#.#.####.#.###.###.######.###.#
####.....######.##.##...##.##.###.#....#######..#.............##.##......##.#.##..##.#.####.##.#####.##.#.#####.####..#.#..###.#####.##.##.#....##.##.#..##...##.##.....#.#..#....#.#.#.#.##.#.##.##.#..##.#..#.#..######.#.####....##...##.#######.######.##.......##.###.#..##...#..####.#....##..#.##...##.....###.#.#...##......#.###.#.####.....#.#.....#
#.#..#.#.##...........#..#######....##......##############.####..#######.##....##.##...#.#...#..##......#..##.#....##.....##.....#.#.#..##.###.##..##.##.####.......#####.##.####.......#.##....#.#....###.##...##.#.#.####.#.#####..##.##....#.##...##.#...#######.....#..##.###.##.##......######.#..#.###..##.##.#.#...#.####.##....##.#..##..#####...#.###
#...##.#.##.######.#.##.##..##.##.#.####.##..#.#.#............#.##..##.#..###.##...###.#.###.#.########.#.##..###.#####.########.#.#...##..##.....###.##..#...#########.#.#...#.###.#####..###.#######.##...###....#.#.#.##.#..##.#.##...##.###.#..###....###.##..##.##...##...#..##..####.###..##..#.##..###.#####.#.#.#####.#...#######.##.###...#.#.###..##
##.##..#.####......#.#...##.....#####.######.....#########.##....##.##.#.##.#.#..####....##......#.#..#.#.##.##.#..##.####.....#.#...#####....#.#.##...##.###.#.##.##.#.#.###.#.#.#.#..#..##.#.#.##.....#.###...####.#........##..#.#..#.##.#.#...##.####.##...##..#####.##..###.###.##.#...#..####.#..##..##.#.##..#.#.##.#....####..#.#..#.#...###.#.####..#
#...######.#######.####.######.####........#.#.#.#.##.......##.#..#.##...##.....##....##..##.##.##.##.....##.##.#.##...#.#.###...###.##.#########.####.##.#.#....#..#.#...##..#...#.##.#.##..#.#..#####.#.####.####..###.#.##..##...##.###......####.##....###..##........##..##.##..#..##.##.##.##...##..##..#.###.#....#.##.####.#.##.#.##.###..#....#.###.#
#.#.#...#...#...##....###....#.#..###.##.#...#.#......#.##.###.##....###.######..######..######..#.######.#.....#..###...#######.#....#..##.##.#...##..#..#.#.####.##.#.#####.#.#...##...###.#...##.......#.#...#.##...######.###.####.##..######.#...###.##...#########.##..##..###...##.....##..##.##..##..##..##.#.####..#..##.....#.#.##.##..##.####..####
#######.###.###..####.######...##.########.######.##.##.#....#####.#.....#.##.##.#.#.#..##..#...##..##.#..#####.#.######..##..##.####.#.##..#..###..##.##...#..#.........##...#####..###.#.#.###..######.##.##.##.##.####.#.#.#.#..##...##..#.#.#.###.##..####..##.##.#...##..##.....#####.######.#...##.##.##..###.....###...##..#####...##..##......#..##.##
##.##.#......###.##.###.##.###..#.#.##..#####..##########.##############.#.##......#.#.####.###.##.##..##..##......#.#.##.###............##.##.##..##.....###.##.##.##.######.##.###.#........#..##.#.....#.##..#.##.#.#......#.##.####.##.##.#...##...##.#..##.##.#....####.#####.#...##...#.##..#.###......#.###..#####.###.#..###..##.####.##.######.###..#
#..#..#.###.##.......#...#..###.#.#....##.#.#.##.##.#.######.#.##.#.####.#.##.####.......##..##.##..##..##.#######......#.#.###.##.#.#.#.......###..#.###.#.#..#..#.##....##..#..#.#.########.#.##..#####.#..##.#.##.#.######.#.##.#.##.#..##.#.#####.##..##.##.#..####..##.....######.###.##..##.#..###.#####.#.##.####...##...##.#.###..##..#...##.##.#.#.##
##.#.####....#######.###.##.........##....#...........#.##.#...##.#........####.####.##.##..##...##..##.#...#####..####.#.#.########.#########..###.####....##...#######.####.##.#.#.#.#.##......##.........##..#.#....##.#.....##.#.##...##.....##.#..#.##..##.##....#.#####.###.#.#..#.#..#.##....##.#.#.#.#.#.#.....##.####.##....#.##..##.#.###.......#..#
#.....##..##.#.#.....#.#.#######.#.######...##.#.#.##.#....###.##...######..###.#.####...##..##.####....##.##...##.###.........#..####.....#.##......#.##.####.###...#####.#...#.#.#.#.#..###.#######.#.###.###.#.#.####..#####.##.#.####..#.######.##...###.#..#####.#..##....##.#.##.#.##.#.##.#.###.........#.#.######...#...##.###.#..###.#..##.#######.##
####.##..###.....###.#.#...###...#.#..#...#.########..####.#.#..######.####.#.#.#.#.####.###..#..#.####.##.####..###.#########.#.##.######....######.#.#.........#.###..##.###.#.#.#.#.#.##.......##..#####.#.#.#.#.##.##.###...##...#.#..##.#.##....###.....##..#......####.####.#.##...##.#.#..#.#...#.##.####........###.##.##...##.#.###..#.###......##..#
#.##.###.#...#.#.#.....#.###.###.####.#######.#.#..##.#.##.....##..#..............#.#....#.##...##.##.#.#...#.##..##..######.#.#.##..#..#####..###.....####.######..#..###.##.............####.######.#.....#.#.#...##..#.#.###..##.##...##.....##.###...#.#..##.###.##.#.#...##..#.####..#.#...######.####.###..##.#.####...#.##.####.....##...#...#######.##
#.#....#########.#####.#.#....#####.#.##.#.#......##.......#.#..##.##.##.#.#.#.##.#.####....###.##.##.#.###.#..#.##..##........#.###...##.####.#.#####.##..........##.##.#..##.#.#.##.##.###...#.##########...#.##.####.#.#..###.##..###.##.#.####.##########.#..#.#.#....##.####....##..##.#.######....#.###...########.#.#...#..###..########.#.###.#.##...#
#...####......######.....##.#...##..#.##...######.##.##########.##.#############......####.##.#.##.##....##.##...###..########.#.#.##.##...........#.#.####.###.####.......##..#.#######.#.###....##.##.###.#....#..##....#.##....##.#.#..#.####.#...##.#.#...##...#####.##...#.###.####.##.#...##.#.##....##.###.##.#.#.#####.#.##.##....##.##.#.###....##.##
##.##.#######.#.#..#####..#####.###.#.#..#...##.#.#####.#..####.##.#.##.#.#.#.###.###.#.#..#.....#.####.##...###..##.##.#..........#...######.##.#.......#....#...###.############...#.....#.##.####.#......####.##.#..####..###.##..#.##...##.#...###....#.#..###.##.#...##.##......##.......#.##.###..#.##....#....#.#.###...#..#.##.##.#..##.#...##.###..##
#...#..#.#....#.##.#.#.#.##.............####.##.#..##.....##.#.....#.##.#......#####....##.###.###..#...##.###.##..#.##.##########.#.###.###########.#.#...########.#...##..###..###.#####.#.##....#.###.#.###.#.#..##..#.##......##.#.#..###..##.##.#.##.###.##......##.###..######....#####.####..#..########...####...#.###.##.#.##..#.##..#.#.###...###..#
#.#.#.##.####...#........#########.#.####.........#######.#..#####.#.##.#####.##.#.###.##..##..####.###.....##..##...##.###.#.##.#...##......##.#.########...#....#.###.##.##.#.##.#.#.......##.####.#.######....##.#..##..#####.###.#.##.#.##.##..#.####..#...##.#.#..#.#.#.##.#.####.##..#####.##.##.#.#.##.#.###.####.#.#.#.##...##.######.#....##.###.#.##
###.#..#.##.###.########.#.#.#..#################.#.##......##.......##.#.#.#.##.#.#....##....##..#..#####.####..###.#........##.#.#####.###..#.#...####...###.####.##..##.##.#.##.#.######.##...##.....###.#.##.#....####..##...##.........##.##.##..#.##.#.####.####.......##.#......##.##.##..#..##.....##.#.......##...#.#.#..####...#.#..#.####..#......#
##..#.##.##.##.....##.##.#.#...##.##................#######....#.#.#.#.............###.####.#..##.##.#.#...##.##..##.##.####.##..#.#######.#.##.###..#.###......#.#..##....##.#.#....##......##.#####.#..#..###..##.###.###..##.#####.#.#.###..##..##.#.##.#.##.#.#..#######.##.#####.##......##.#.###.#####..#.##########.#.#.##.#.#..###.##......##...######
#..##.##..#.##.#.#.......#...#....###########.#.#.#.........########...#####.##.##.##..#.####.###.#....###.##.##.###.####.##....##.#.##.#..#.##...##.#.##..######.#.##..####..#.####..######..#..#..####.##..#..###.##..#.##.#...##.#####..##.####....#.#..#....####...##.#..##..###.....##.####...##....#.##.#..##.#.##...#.#.#......##....###.#####.####.#.#
##..#..##....###########...#.##.###.###...##..###########.#.###.#.#..#.#..#######..##.##..##...#..####......#..#.#.#.#.#...####..#.#.##.##.#.####.#.......##...##.#..##..#.##.#.##.##..##.##.##.##.###.#.###.##.##...##.#..#...###...#.#..##...#.####.#.#.##.#########..#.##.##.##...##.#####..###.#..#.##.#..#.##..#.####...#.##.#######.#####..##.#..##....#
#..##.##..#####.##.......###.#...##.#.###....#######.####.###.#.#...#####..###.###.....##.####.##.##...####.##...#...#.###....##......#.#..#.#.#..#######..#.###....###.##.##......##.##.....##.##..#......#.#..####..#.##...#.#.###.#.##....###..###........##.#.#.###......#...###.#####.##.##...#.#####.##......##.#.####.#.#....###...###...###...###.####
#.##...##...##.....#.#.#######.#..........##.##.#.#.......#...#.#######.##.#.#.#.#####.##.#........##.###.#..###.###.#.#.###.####.##.##.##...#.##....#..#.##.#.##.###.#.##.#######..#..#####.#...##.######.#.##..####.#.#..#####.#...#..###.##.#.##.#####.#####.#.#.#.######...#......##.#.#...#.#.....##..###.######.#..#.#.....#.##.###.#.###..#..####..#..#
#.#..###..########.#.#####.##..###.######.####......###.#####....#.#.#.....#.#.#.##.##.##.#######.#####...#.##...##......###.##.#.#...#.###.##..####.##.#......##.###.#.#..#.##..##.##.........####.##.##....#..##......#.##..##...###.##....#.#..#.#.##....##..#.#.#..##.####.###.##.#......######.##.###.#.#......#.#.##.##.#.####....#.#..#..##.##....##.##
#.#.##.##.#.##..########...###########....#..######..###########.#.#...#.#.............##.##.##.#.#.###.#....###..#####.##...##.####.##..##..##.#..#......######..#.#...##.#.#..##...#########..##..##..####.##..####.###..#.#####.#.#..###.##.#.##....#.######...#.##.#..#.########....######.##....###...#.#.######.#.##....########.##.##.##.#.....#####.##
#....#.##...###.#.#.##.###..###...##...####.##...#####....#.#........#.######.#.#.####.##..#........#.######..##.##.##...###.#...##.....####..#.##.#.####...#.###.#.#.###....##..##.##...#.#.##.#..##..##.....##..##..#.##....##.....##.##..#.....####.#..#.#.###...##.##.#..###.##..####..#.#.#####..####.#...####.#.#.#####..#.#.##...#.##.##...######..#..#
####.#.###.##............##...###..#.#.#.......#..##.####.....#.#.##.####.#...#.#.##...###.######.#....#.....##......##.##.#.##.#######.#####.#.#..###....###..#..#.#...####....###..###.#......#.###.#######.###.#..##.####.##..###.##..##.#.######.#.#.##.#.#####.........##....##....#.##.#.#.####..#.#.#.###..#.#.#.#.####.....###.##.#...#.#......##.#.##
##......##.############.###.###.##.##########.###.....#####.###.#.##..##....###.#.##.#..##..###.######.####.########.#..##......#.#.##...####.#.##..#####...##.##...#.###.#####..#..###..######...##..##...##.....##..#..##...#.##....##......##.##.......#.....###########.####.####.###.#......#.#..##...#...#.##...#.#...##.#####.#.##.#.#...#.#.####.....#
#..###.###..##.##.###....#...#..#..####.#.#.####..#.#...#.#######.#..####.#.#...####.##....##.#..#.#..........##.....##.#######.#....###..##..#..#.##..##.###.....###..##..##...##.##...###.#####..##.####.##.###.###.#.##..###.##.##..###.##..#..#####.###.#####................#.##.#.....######.##.####...#.#.####.#.#.####...##....##.####.#######.##.####
######...#.##..##.#...##.###.##.#.##.#.......#...######.#.##...#####..##..#.#.#.##...###.#......##.###.#.#.##.######.#...##.#.#.###.##.##..##.##.#..##.#...######...##..##..##.##...###.##........##..#.##..###.#.#.#.#.###...########.#.#..####.##.#...##..#.##..#.#.#.##.#.#.#........######.##......##..#.#.#..#.#.#.#..#.#.#..####.##..##....#.#.#.#.....#
#....###...###.##.###.#.......#.#..#.#######.###.##..........#..##.###################...####.#..#.#.#.#.####..##.#..###......#.#.#.#..##.##..##.##.#..##.##.##.##.##..####.##..#.###.#..########.###.#.#..###........#.....####..##.#.#.#.##....##.#.#####....##.###.################.######...##.#.####.##.#...##...#...##...####..#.##.##..#.##.#.....###.#
####.###.###.#....#####.#.###.#.#.##.##.......#########.##.###.##.......#####......#############.#.#.######.##.##.##.....####.#.#...##..#..##.##.#..#.###..#.##..#..#.##.....##.#..##.#.##.##.#....#..#.#.##.########.#.###.##.#.##..#.#.#..####.#....###.#.###########.....##...#..........##.#####....#.########..###.###..#..####...##.##.#####.#.#####.###
#.........##.####.....#####.#.#.#.##..#######..###..#...#..#...#######.##.#.######.#...#.....##..#....#.##..##.#...###.#.#......##.##..##.##..#..##.#.##..##.###...##.######.##.#.###...#..#..####.##...#.#..##.#.#.#.#.#.#.##...###...#.#.##.##.##.###.#.#..#.#.##.....###..###.######.#####...##...####....###.##..#...#..#####..###.....#..##.#.#.#.##...##
#########.##.##...#####...........#..##.#.##..##.##.###.######..###.#..##...#......###.#####.###...#.##..##....#.###...#.#.##.#.##.##.###..##.##.#..#..##..#..####.#...#.#.#.#....#.###.##.##.#.....##.##.#.##......#.....#####.##.###...#.##.##..#..##.#.#.##.#..##########.....###.##.#.#.##.#####......####.#..##.#.###.#####..##.####.##.###.....#.##.#..#
#..#..###..#..###.##.######.#.###...##....#..###.##.#######.##.##.#.##.##.#.#.####.##..##.....######.##.####.#....##########..#....#..#.#.##..##.##.#.####.#.##.#..#.###.#.#.#.####..#......#.###.#.#..##.#.#######...######.##.#...####...##..##.##.............##...#....#####........#.#.#..#.#...#.#.####..#.###........##.##..#.#....##.....#####..#.##.#
##...##...##.##.#..#..####..#######..####...##....#.#.##..#.........#..####.######..##.#..#.#..#..#..##..#...##.#..##..##..##.####.##......##.##.#.....##..#.#..##.....#.#.#....####.######.#.#.###.##..#.#..###....#....##.....#.###.##.#..##.##..##.#.#.#####.#####.####..#....######.#.#.#.##.###.######.##...#.##.####.##..##.##.###.##..##.####.#.##.####
####.####..#.##.#.##.##..##.#....##.#######..####.#.#..##.#########.##..##...##....###.#######.##.##.###.##.######.##.##..#####....#######..#.##.###.#####.#.#.#####.###.#.##.###.#..##.#.#......##..##...#.##.####.##.#.######.#.##..#####.#..##.##..#####.#.###.##..#.###.######........#.#..#..##..#.#.#.##.###.#...###.###..#..#.##..##.#####....#....#.##
#......###.#.##.#.##..##..######.#..##..#...##......##.##.#.#.###......####.##..##.....#.#.#.........#.#.#####.#......###.#...####.#.#.#.##...##.##...##.#...#.#.##...##...##.#.#.#.##..#.####.###..#####.#.##.#..####.###.##......##.#.##..#.###..##..#.##...##..###...........###.#.#.#...#.##.####.....#.##..##.#.###.###...##.##.###.......#####...####..#
######.#.#...##......###.###.###.##..##...#..######.##.#........##.#.#..#.#.##.#######.......#.##.##.......#.#.######.#.#.#.####.........####.##.####.#..##.##.#..###.####.#......#..##....#.....##..#.##.#.##.##.##....##.######.##..#.###.....##.#..##....#..#.##.###########..##########.#.....##..#####..#.###........####.##.....#..#######...##.##....##
#..###.....#####.###.##...#..#...##.########....##.....###.#.##.#..####...#.####.......####.##.#..#..#####.#.#.#......#......##..#.#.###.......#..#.#.#.##...#.##......##....######.####.#.#.#.#..##...#..........#####.....##..#..##...#.#.#.###....###.#.#####.....##.......##....##.##.....#######.#.#.##.......#.#.####.##..#####.##...#.###.####.#..#####
##.#.###.#..##.###.#.####.##.###....##..#######..#####...#####....##....#....###########....##.#.###.#####.#.#.######.######.###.#####.#######.##.#.#.#..##.##.######.####.####.##...#.#.#.######..###...###.#.##..###..#.#.###.##..#.###.#.#..####.##.#.#..##.#.#####..###.#.###.###..#####.####..##........#############.....####......###...#..##....####.#
#....###.##..#.##.....##..#....####....##.#.....##.#####.##....##..######.####.##........##.##.###.###.........#.#.#...##.##..#####....##......##...#.#.##...#...###..##....##..####.#.###..#.#.##...###.##..#..##.....####.#....##...###.####..##...#.#.####.....#.#####.###.#.#.#.##.#..........##..#.######.#.##.#..#.####.##..##.#.#.#.##.##.##..#####.#.#
#.##...#####...######.###.##.#......#.##..#####.##.#..#...##.#######.##...##.#.#######.#.##..###....##########...#...#.....#.##.#.####..####.#..###...#.####.#.###...#####.##..##.#.....###.#.#.#..#####.#..###..#####..########.##.###.#.###..##..###.#..##..#####..#.#..##...........###.###.####..#######..........##.#.##....#######....#.##.#..##.#.#.#.#
#####.##.....#..###....##..#####.####..##.###......##...#######..##...###..#.#..###....#.#..#######...#.....####.#########.#..#.#.#.###.#..####.#.##.##..##......###.#.##...##..#.##.####.......##.#.#.######.#####....##.##.....##.#...#...##....##.....###.##.#.#.##.##.#..###.###.###....####.##.##.#...#.###########.#.#..##.#..#.#..####.##...###.#.#.#.#
#......########...###.##..##..########.##.#.###.#.#####..##.#.##..###.....##.#.##.###.#####..#.##.#.#...###......#.##......##.......#.#.##.##.........##.##.########.#.#..#####...##.##...#####.##.#.#.##......##.####.#...#####....#.#.#.#####.#..##.####.#..#.#...##.##.########.#.##..####.##..#.#..#.###.........#.#.#.##.#####.#.##.##.#.#..####....#...#
######...##.#.##.##.#..##..##.#.#......##.#..####.##....###....##..######.#..#.##......##.#.##.#....###.##..####...#######....##.##......#..########.##..#...#..##.#.#.##.##.#..####.######.#...#..#....###.##..#........####.####.##.###.########.........##...#.###..##.#.#.........##......##.##...##.....######.##.#.......##.........#.#.#.###.####.###.#
#..#...####.#..#.#....###.##..#.######......##.#...####...####.##.##.#.##...##..###.##.#....#..##.################.#.#.#.##.###..###.#.#.##..##....#..##.##.##.###.#.#..#.##.##..##...##.##.###.##...##..######.##.###.###..#.#.#..##..##.#.##..##.##.######..###.#.##.##.#.########.##..#######....####.######..####..####.#############........#...###.#...#
##.###.##.#.##.#.##.###....##...##.#.#.####.##.###..##..#..##...........###..##.#.#######.####..####.................#.#.#########.#####..#.######.##.##.##..#.##..#.##.#..#.###..###..#.##..##....#######.#.....#####.#.##...#.##.##.##..#.##.##...####..###.##..#.##.##...##.#......##.....#.#.#####.#.#..##..##..##..##..#...####.##.#.########.###.#.##.##
#.......#.#.#..#.....###.######.#....######........#######.############.#.#.##..#.##..#.#######.##.######.##.#######.#.#..##...##...#.###.#.##.#.#.#...#.#..##..##...##.##....###.#.##.#.#..##..##..#..###.#####.##.......###..........##....#.#..###..##..#...##.#.##..##.##..######..#.#####.#....#..#.#.##..###.###.##..##.###.......#..#.##....#.#...##..#
#######.#.#.##.###.#..##..##....###.####..###.####.##.###...###..##.#.#.#....##.#..##.#.##..##...#.#...########......#.##..##.###.#..................###...###.####.##..##.####.#.#......##.###.#..##.##.#.##....######.###.#########.#####.##.##...##..##.#.####...##.##...##..##....##..#.##.#.####.##.#..##.#.#.##...#.##..#.#######.#.##..#.####.##.###.##
#.....#.#.#.#....####..#.######.##..##.##.#.####.#..#.#.###...##.#......###.##..#.###...##.##..#...###.#.#.##.#.####...#..###.#.###########.##.#####...##.###...#.#..##.#..#.##...#.#.####...#####..#.##.#.#####.#.#.....##.##........##.##.##.#..#####....#..#.###..#.##.#####..####.#..##.##.....##......##......###.##..##.#.#.##..#.#.#..##..##..##......#
###.#.......##.#..#.#.##..##..#..##.##.#.....#.#...##...#.###.#..####.#.##...##...#.###..#..######..##...#.##.###.####.##..#.....##.##......#..######.##..#.##.##...##..##.#.####.#.###..###..##.#.##.#.....##.......#.#....######.##.##.#..#..##.....####...##.#.#.##.##.#.#.#.##......##.....#.###..#######.######...#..###...#..##.#.....###.###.#####.####
#...####.##.#####.....##.####.##.#..##.##.##.....#..###...###.#.##.####.#..######.#..###...##.#....##..#.......#........##.#.#####..####.#.###.#.......##.#.#...#.#..##..#...#.#.....##.##.##..#.#..#.#.#######.########.####.#....#...#.##.##.##.#####..##.###...#....##.#.#.#....##.######.#####.##..##.#........###.##.#.###.#.##..####.###..#...#.###..#.#
#.#########...#.###.#.....##..#..##.##..###########.#.##.##.....#..#.#..##..##.#....##.##.###.####....###.####...#.#.##....#...##..##....###.#.##.##.#....#...#####.####...###.#####..#.##..##...##.#.#...##.####.##..#..#.##.########....#.#......#.###.##.#.###...##.##.#...######..###..#.#..##..##..#.##.#######....#.#.##.....##.##...#.##.#.###...##...#
#.#....##.###.....#######..##.#.##..###.###.#.#.....#.#..######.##...##.###....##.#..#.##.#.#.#########.##################...#####..########.############.###.#.##...#.###......#.###.#..##..###........###...##...##.##......##.######.#...####.###..##.##.#.#.#.######..###..##.###...##.....####....##.##..#.##.##.#......##.#.###..###...#....##..#.#..###
######.#..#.####.##..#.##.##..#.###.#.#.#...#.#####.....##.#.....###.##..##.########....#.#...#..#.#.##.#.....###.#..#.#####..##.##..#..##.#..##.#.#####...#....###.##.#.##.#####.......####.#.#####.#####..#####.##.....######..#.#..####.####....#.##.......#.#..#..###.#.#.##..#.##.####.#####.###.###..#.##....########.##..###...##.#.###.#####.#####.#.#
##.#.#.#.##.##....##.#.##..##.#.#.#.#.#.###.#.#.#######.##.#.###.#....#.###...##.#.####.#.###.##.....##.####.##...#.##...#...###.###.#.##..##.#..#...#.###...####...##.......########.####.....#.###.#.#.##.##.#...#####....##..##.##..#...##.##.###.##.####.##.#.##.##.#.#....##.#.#...##......#.##....##.#....####.#.#.....##..###.###.....#..##.#.#.##..#.#
#.........#..###.##....#..##....#.#.#.#.##......#.....#.##.#####.####...#...#.##.#..##.....##....#.#..#.#.##..###.#.####.##.##.#.#...#..##.#..##.###.....##.###.###..###.#####..##.#.....#.###...#.#...#.#..##.###.#.#.#.####..###..##.###.##....#.#.#####...##.#..#..#.#.##.#..#...##.###.#.####..##.###....#####.#.#.####.##..##.#.#.###.###.##..#....##...#
#####.###.##.##...####.##.#####.#.#.#...#####.#.#####.#.##.##.....#...#.###.####.##..####.###########...#.#..##.#.#.#.#..##....#.###...##..##.#....#####.##.##...##.##....##.#.##..##.######.###...#.###.##..#.###.......#..##.#.#.##...##.#####.#....##.###.#..##.#.##....####.###.#..#.#.#...##.##...##.####.#...#...##...#..##....#..##.#.#..##.#.####..###
#..####......#..###.#........##.#...#.###.#.###.#.............###...###.#.#..##..###..#.#...###.#.#####.#.##.#......#.##.###.#.#.#.###.###.#....##.####......##.##..##.####..#..##.#..##.##....###....##.###.....#######.#.##......###.##...###....#.###.##..##..#......######...##.##...#.#####...##.##..#......###.######.##..##.###.##..#...###.#....##...#
##.#.#######.##.#.#.########....##.##.#.#...##..#######.##.##.#...###.......####.#.##.#.#.###.#.#..#.........######..........#.........#.#.####.#.....##.#.#..#..##....#.#..##.##..##..#..####.#####.###.#.##.#.##..........#####.##......#.#...#######..#..####.#.##.#.#.##.##.##.....###..####.###..###...##.###...####...#..##..#.#..##.##.##.#...#####.###
#.........#..........#..##.####....##...###..##......##.#..#############.##...........#.#.#.#.#.##.####.##.###.#....#.##.#.#.#######.#..........#.#.#....####...##..##.#.#.###.#..###.##.##.#..#.#.#.#...#.#..###########.###..#...#.####.#####..#..#.##.##......#.######.#.....######.##..##..#...##.#...######.##.##.#..#...####.....##........##.##.#.#...#
##.##.###...##.#.###.#.##.......##.#..###.##..######.##.##.#.#.#....###...#####.##.##.....#.#.#.##.#..###....#.#.##.###########.######.#.######.###########.###.#..#####...##..##.#.#.##.##.##.#...#.##.##.##..#.##..##.....##.##.######...##...##.##.#...######.#...#.#..#####..##.#..##.###.##.####.#.#....###.##.##.#.####.#.#..#######.####.###..#.#.#.###
###########..#####.....######.####.#.####.#..###...#.##.####.#.####.....###############.#.#...#.##.#.#####.#...#..####.##.#.#..........####.######.##.####..###...##..#..#####.##...#..#.##..#.###.#.#..##.###.#..##..####.##...#..##....####.#....##.##.##......#.###.#.##.#...##....###........##.#...##.###.#..#.##.###.##.#.#.##...#.#.#..####..##.#.....#
#.#..##.....##.....#.#..#.#.####...#.##...##...###....#.#.#.......#########....#.##..##.#.###.#.#..#.##.#..###.######..#..#.######.#.####.....###.....#....##.###.###...##.#.#..###.##....##...###...##.##..#....##..###.#..###...######.##.#####.##..##..######.#.##....#..###..##.#.#...########....########.#.##.##..#..#.......#.###.....###.##..#.#.#####
#.##.#..#.#..#####.#.##.....#..###.#..##.###.###.###.####.#.####.##.#.##..##.#...##.#####.........##.#..######.###..##.##.#...#..######.###.#.....###.####.....#....###.##.#...##...##.##..###.#.###..#.###.##.#####.##....##.###.#.#.#...#.##..#.###.#..##....#.#.#####.#.##.#.##..#####...##...##.###..###.....##..##.##.##.######..##.#####.#.##.##.#....##
#.#....##.#.##..###########.##..##.#.##..##..###.#.#.#.#..####........###.##.###.##...####.##.#.#....##.#.##...#.##....#..###...###.........########...###.###.##.###...#..##.###.###...######.#...##....##..#.###....##.#..#.#...#...###.#..##....##.#.######.#.#.#..##.#.##.#.###..##.###..##.###..##.##.##.######.##.......######.##..#..##.#.#.......##..#
#...#.##..#.###................##....##.####.#.#...#.#.#.###.########..#..##.##...##.##.....#####.##..#.#.####...#####.##..###.##.######.#.##..##....#.#...###.#....##.##.##..##...####..#.#.#.##.######..##.....###.#####.##.###.##.###..##..#.#.##.....##.##.#.#...##..#.##.#.#.##.....##.##..##..###.#..##.##.#.#.########.#....#.###...##..#.##.#.########
##.##..######.#.#.##########.#....##..#..##..#.#.#.#.#...#.#.#########.##..###..#.....####.###.#..###......#.###...##...##.#.#.#...##..#######.###.###.#####...###.##..#..##.#####..##..##...#.....##.##.#######.#....#.#...#.#.#.##...##..#.####..##.####..#......#####...##.#.#.##.#####...##.##.###..#.##.....#.#..##.#....#.####.....###..##.#..####.....#
#..#..##.##.....#.#.......#####.#..##...####...###.#.###.#...........#.##.#####.#.##.#######.....##...#.##...#####....#........#.#####.####.##...####...#.####......##.##.#...##...####..###...###.....#.#.##.#..#.####.#.#.#.#......#####....##..##...#.##.######..##.###........#..#.#.#.####..#...##...##.#####...##..##.#.....####.######.##.##.##...#####
##.#####.####.#.#########.#.##..#.#####.##...####......#.###.#######.#.#..##.#######.##..##############.##.#...#.#######.#.#.#....##.#.#.#...##.##..###......##.#.#..#.##.#.######..#.##..###########.##.#....##...##.#.###.#.#.####..#..####.##.#####.#..#..###.##..#.##########.##..........##...######.##..#..#.#..##..####.####.##.#.#.##.##..#....###.#.#
######.#..##..####.............####......##.##..######....#####.#.##.....##...####....##.#.#.#..##..##########...........#.###.##........##.###.###.#...####.##.#.##...##....#..###...#..##.#.#..#.##..#.####..##.##....##..#.###.###.##...##..#...##....##.##...#..##...##.##..#.#..###.####..###...##.#..#.##.####.##..##.....#.#.#..#...##.###...##.......#
####.#.##..#####.##########.#.##.####.##.....##.##.....##...##..#..##.##.###.##.#..#.##......##..##...##.##.###########.############.#.#....#.#.#...#####....##.#..###.#####...##.###...###.#.##....##.#.#....###..##.#####...##...#..##.###..##.######.###.####.##.##.###..###.#.##.######.#####..####.##....#..##...##..#####...#.##...###......#.##.##.##.#
##.#.#..##...#.#.####.......#.#.....#######.##..####.######.###.##.####..#......####..######.#..##..#..........##.......##...........#.####.#.#.###.#.######.####.####.#.#.#.###..#.###.##.....####....#.####.##..##....#.###..###.#.##..####.......##...#...##..##....#.##.....#.##....##...##...###....###.##.##..#.#..##...#.###.##.######.##.##..#########
#..#...##..###.#.#..#.#.#.#.#####.#####......##.#.#####.#...#........###.###.##..####...##...##.#######.#.####..##.#.##..######.#.##.#.#....#.#.#.#.#....##...##..##...........##........#.#####.###.#....#.#..##....####.#.#.##.#.#..##.#.##.###.######.###.###.##.##.#.######.#....##..#.#####.##.##.###...##..##.####.####.#.###.#..#.#.#...#########.....#
##.###..##.#.#.#.##.##########.#...##...####.......##.#.###.########.....##..#..##.####..###.#..#.##.#######...############.###.###..######.#.#.....####.####.#####..#.###.##.####.#####.....#.#..######.##.##..####..#.#.#.#.#..#.##..#...#...#####...#.#.#.#.#.####.....##.#..####.###...#.##..##......###..#.##...#.#..##..#...#.##.......#..##..#..#.#####
#....##.#..#.#.#.##..#.#.##....###.#######.###.######..........##..#####..#####.##.#.#..##.#.##...##.#.#.#.###.#.##.##..##..#.....####......#.#####..###.#.#..#...##.###....###..###...###.###...##.#........#.###.##.#.#.#.#.##...###.###.#.###.#.###.......#.#..#######.#..##..##....#.###..##.##.####.##..##.#..###...####.##.##.#..###.#######.##.##.....#
###.##..##.#.#.#..##......####.#.....##.....##.###..##########....##..##.##.....##...#.##.....###.##.#.#.......#.#.....####...#.###.#######.........##.#...##.#.#.#########...##.##..#......##.###....#####.##.##...#.#.#.#.#..###.#.#.##.....##.....#.#.###.#.#.##.#...#.##..#.##..#######..##..#....######.##...######..##..........########...#.##....#####
#....##.##.....#.##..####.##.....#.#.####.#....#.##............##..##.##.#####.#####....#####.....##.#.#######.#.####.###.##.##.#........#..#######....#.#.##.#.###.#.......###...##.#####.###..####.##.....##..###.#.#.#...#.##........####.####.#.######.....#.##.###.#....##.###.#.##....##..##.####.##...##.####.####..##.####.#.##..###.##.##.#..##..####
####.##..#####.#..####....########.###..######.#..######.##.######........##...##.#####.##.###.##..#.#.##.............#...##########.#.#...###..####.#...#......##..###.###..###.######.##.#.##.#.#########....##...#.#.###.#..########.##.#..#.###.#.#.##.###.#.##.#...####..#.#......####..##.........####..#.#.#..#.#..##..#.##.###..##.#.........######..#
#.....#.##.#.#.#.##..###.##..#.##...##.##....#.#.##...########...#######.#####..#.#.##.....#.#.###...#.#####.##.##.##.#.###.#.##.###########.##......######.##.####...######..##..#.#...##.#.#..#...##.##.##.#.####...#.##....###.##.#...#.##.#..##.#.#..#####.#.##.###.#..##.....#.####.#..##..####.####..##...#.#.##.##..##....######..#...#######...##.#.##
###.#..........#.##.###...##....##.##..#####.....##.###.#.##.###.....#.#.#.##..##.#.######...#.#...#....#.###########....##......#.##....###....#.##.####.####.#.##.#.#......###.##.###........##.###.....####..##..#....##.###.#.##.##.##....#.##..#.##.##......#..##..##.##.########.#...####.##.####...####.##.#.##.#..####.#..##.#..##.####....###....#.##
#...#.##.###.#....#..#..#######.#...##.#.###.#.#..#.##..#.#....#####...#.#.#..##..#.#.##.##.###########...#.#..##.#.##.#######.#....##.#.....##.#.##.#..#........#..########.....##...#####.#####.#.#####...###.#######.##..#.#.#.##.#...###.##.#..##..#..###.##.##..##....##.###.###..#.###.##.....#.###.#....#....##.##.#.##.#####.#.##.....#.#.#######....#
###.#.#..######.#.##.##.##.#.##.##.##..#.#.#.####....#.##.####.##....#.#.#.##..##.....##.#...##.#.#.#...###.##......#..##....#####.######.#.##..#######...######.##..#.#.#.#.##.##..###.##...##.....##..###.#.#.#..#.#.....##.....##...####...#.##.##.##.##.####.###..####..#.......##.#...#.#..###...##..##.#...####..#..#.##..###.....#.#####.####...#######
#...#.##.#......#........#.#..#.##..##.#.#.#####..#.##..#.##.#..###.##.....###..#####.##.##.##....#.###..##..######...##..####..#..##.#.##########.###..####.....#..##.......######..#..##.######.#####.##......##.....#.#.######..###.##...###.#.....##.##.##.#.#.#.##..#.##.#######..##.##.##...##.####.######..####.##.#.#..##.#.#####.####...#.#.###.##.##
#.#.###..#.##.##########.#.##...##.###.#.#..##...##..#.##.#....##.###..#.#.....##............##.#.#.####.###.##.#.##.##..##..##.##.#....##.#..###..#.####....###.##..##.#.##..##..##.##.#...#.#.#.#.#...###.#.#..#.#######..##..##......###..##.##.#####.##.##.#...#..##.......###....##.....##.######.##.#.#.#..##.#..#......###.#.###......#.###.#..##.##..#
########.#.#####.#.###.#.#.####.#..#.#.....#########.#..#.####.#..##..######.#..########.#.######.........##.##.......##..##..#.#..##.#......##.##...######.##......#####..##..#.###.#....###...#.#.###.#.######.######.###..##.#####.#.#.#.##..##..#.#..##.##.###.##.####.#####.####..#.###.##.#.#.##.#..#.#.##.##.##.####.###.........######.#.....###..#.##
#..##.#..###.#.....#.#......###.##.#.####.##.##.#....#.##...##.##.#..##.#.#####...###..###.#########.#.##.##.######.###..####.....##########.#..####.#..#########.#..#.#######.#.#.#.####.#####...#.#.#.#.##.#....##......##.#....##..#...#.#..##..##...##..##...#.#...##..#...#..#.#.##.#.####........##.#....#.##.##.#..#.#.##.##.#.#....###.#.#####...##..#
##.#..##.#...#####.....#.##...........#.#..#.#..####....###.##....##.##.....#.##.##.##..##...##..########.#..#.#..#..#..########.##.##.#.#...#.##....##.#..##.######....##.##....#.#.##.......##.##.#.....##.##.#####.###.#..#.#########.##.##..##.##.#####.####.#.##.##..##.###.##.#..#....#.#.#####.###.####...##.##.##...#.....######.###.......#####.##.##
#..##.######.#.##..###.#.#..##.#.####.#.#.##...##..###.###..###.#....####.#....#..#.##.##..###..##.##.#.#.##.#.##.##.##.#.##...#.##.##.#.###.#..####.#..##..#.....#####.#...####.#....###.#.###..#....#####..#...#.#####..##....#.##.#.#.##..#.##...#.#.##...##.......###....#.#..#.##...####.#....####...#..##.###..#.##.#...###.##.#.###.#.#######.###.##..#
##.##..##.#.......##...######..###.........#.#.#..##.#..#..##.#####.##.#######.##.#.#...#.##.##..#.##.#...##.#.#...#.#.....###...##.#..#.###...##.#..##.###.####.##.#.#.###.#.##.#.#####..###.##.####...#.##.###.#.#.#.##..###.##.#.........##.#..###...###.##..##.##...##.###.#.##..#.####.#.#.####.####.##.#..#.##....#.#.#.#.###.....#..#....###..#.#..##.#
#...#.##....##.######.###.##########.#.###.###.##..#.##...##..##..#.#..#............###.......##...##.###.##.#.##.##.###.###.###.##.##...#.###..#.##.##.#.#.#.##.#....#.#.#.#.#....##..##..##..#..##..###.#..........#.###.##...#.#####.###.##.#.###..###.#.########..####..##....##.#.##...#.#.#..#.#.##......##.##.##.#####....#..#.###.##.####.#.##.##..#.#
###.#..###.###.###....#.....#.....######....#...##...####..##.###.####.#####.#.#.##.....#.#.#..###.##.###.##.......#.##...##.##.....####...#.##.#.....#.#.....#..##.#.......#.#.##..#.####..##.#.####.###.#######.####.#.#.##.###....####...##.#.#.#.####...#.##..#..##.#..##..####.....##.##.#.#.##...#####.#.....#.#####....####.####...##..#.#...##.#..##.#
#.....##.###.###.##.#.#####...#.#........##.##.##..#..##..###.#....#.#...#.#####.#..##.#######..##..#.#...###.##.#....##.##..###.####..###.#.##.#####.#.#.#.#.##.####.#####...#####....###.##.....##..#.#.#.##....#.##.#.#.#....####.#.####.............##.##..##.##..#.##..##.#######.##..##.#....##.##...####.####.#.#.####...#..#.#..#####.#.###....##.#..#
#####.#...#...#...######.####.####.###.#.#........###..##.#.#.####...###...#######.#######.#.##.###.#.###...########.###..##..#...##..##.#.#.#...#.#....#####.#...######.####..#.#####..#...##.######.....#.####.##.#..#.#.##.#.#.##.#.#.#######.#####.##...#.##.....##.#..##.....##....##.##.##.#.#...#.####.#..###...#.#.#..#...##.#.###.#......####......##
##.##.###.###.###.##.##........##..###.#######.#.##.#.##........####...###.#.#.....#..#.#....##.#.#.#..##.#.#...##.......####.#.#.###..#.#.#.##.##.####..#.#....#.#.##.#.#....##.#..##.##.###..##..######.#.#.#..##.##.#.#.##.###.##.#.#..#.#.#..#.###.###.##..#.###..#.##....#.#####.####.##..#.####.##.#.#....##...###.#.##.#####.....#..##.######.#####.###
#..#.................####.#.#.##..##...#.....#####.....###.##.###..###.##....###.####.#.####......#.##..#.#####....#.###..#.#.###.#.##.#.#.#.##.##....#.##.######.#.##.#.##.#..#...##...#.#.##.##.##.##.#.#.#...##..#..#.#.#...##.#..#.##...#.##.#...###.#.###.######.#.#..#######..........##....##..#....###.#####.###...#...#.#..#####.##...#.##...##.#.#.#
##.#.#.##########.##....#############.###.##.##.#####.######...#..###.....##.###.#...........####...##.##..##.###.#######.#....##.#.#......#..#.#####.#..#.##.##....##.#.#####.##.##..###...##.##..#.#....#.##.####.#.##...##.##..##....#.#....#...#..##...#.#.##.......##....##.####.####.#####.####...####.#.#.##....##.##.###.#.##.##..#..#....##.###.#.#.#
#..#####.#.#.#######.##..#..###.###.###.###......##....#.#####.##.#.#####.#..#.####.#.#.#.#####...#..#.###.#...#######.#..####..#.#.######.##.#..#.#....##.....####.#.....##.#.....##.####.##...##...#.##.#....#.#..#..###.......######.######.#.####..##.##.#..######.###.####...##.....#.#.###..##..###.##.#....###.###..#.#.#.#.....##.#.########.#.......#
##...##......#..##.####.##.##.....#.#.......####....##.#.#.#....#.#.#..#####.#..#.#.#.###.#.....####.....#.#.###.#.#.#.##...###.#.#.##.#......#.##.##.#..####.####..####.###.#####..#.#.#...#.####.#####....##...##.#.##.####.######.#...#.##....########.##...##.##.#..#.....#.#..##.#.####.#...##..##.#..#.##.###...#.#.##.#.....#.#.##...#.###..#...#.#####
#..#########.##.##..#....#.###.##...##########...#####.#.#.####.....##.#.#...#.##.###########.###..##.##...#.#.#.#.#.#..##.##.#...#..#.######.#.##.#####..##...#...##.....#....####.....##.##..##..##.#..#####.#....#..#.#..#.#.#.#....#....###.##.##..#...###..#.#..##.#.########.##.###.##.##.####......##.#..#.###.....##...###.######.###.#.##...#.###..##
##.#.#.##.#......##.####...#.#####.##..###.....#.###...#.#..####.#.##....###....#.##.##.##.#######..######...#.#.#.#.#.##..#..###.##.....##...#.##.#..###..###.###.######.####......###.##.##.####....######.######.#.##.##...#.#.###.###.#......#..##.#.####..##.#.##........##...#...##.##..#..##..#######.#.##..######..#.###....####...#..#.##.###...##..#
#..#.#....####.#..#.#....###.##.....#.##.###.#####.###.#.#.##.####.#####.#.##.###.##.##.#..........###.#####.#.#.#...#..##.#.##....##.##..###.#.##.#.##.##.#.........##......#####.##...#.....#..##.###......#####..#.#...#.#.#.#.#.####..######...##..#..##..###....##.##.#.#####.##.###.###.#.####.#...##....##.##.#.#..##...####..#.##.##.##.#...###.####.#
##.#.####....####...####..##..#####.#.##..#####.#....#.#.#.##..##...####...##..##.#..##.######.#.#...#.#.#.#.#.#.###.#.##.....#.#.##...##.......#..#.#.......#######..##.#.######..####.###.###.##..#######.##.#.##.#.#.#.###.#...#.##...##.#....###..##.####.#.####.##.#######.##......#.#.#...#.#....###..####..##...##.##.###.##.##....#..##.#.#..#####.#.#
#..#.#.#####.######.#.###.###.#.#.#....#.##.......##..........##..#....###....##....##....#..###.###.#.#.#.......##....#####.####.###########.#...##.#########...##..#####.##...##.#....###.#.#..##...###.#.#....#......####..#.###.#######...##..###..#...##.#.##.#.##....##.#.##.##.###.#.###.#.##.###.#.##..##..###.##.#...##..####.####.###...####.##....#
##........##.#.#....#.#.#..##.....####...##.#########.#######.########.####.#.###.#######...#######......#######..###.##...#.#.#...###.##.#######..#..##.#..###.####.#..#...###.#######.......#.##..###...#.####.##.#.#..##..##......##.#.###.###..##.##.###..#.##.#....####..#.##.#...##.#.##..#.##..#..#.###..#.##........#..#.###.#...##.##..#...##.###.#.#
####.#.##.#..#.###.##.....#######.#.###.######.##..#####......#.##.##.....###.....#.#.#.###.##..#.######.#.#.#.#.##....###...#.##.##.#.#..#.##.###.##.##.#.##...#.#..##.###.#.#.#.##..#####.###..##..####...#.#..####.##..##.#..######.....####.#.##...#...##.#..#.#.#####.##.#..####.##..#..##...##.##.##...#.##.##.#.##.#.#.##.#.#.#.#.#.....######....###.#
##...###..##....##.######..#.#......#.#.#.##....##...#.#.####.......#####.....###............##.#.................####..####.#..#.##...##.............#.....###.#.##.#....#...#....##.#.##..#.##..##.#..###.#.##.#.######..#...##....#####...#.....###...###..##.......##...#.##..#.#..##.##..##.##......###.#.....######.###.#....#.#.####.######.##.####...#
#..######.####.##.......##.#.######.#......###.#####.#.####.#######.#.....##.##...###.##.###.##.#########.###.#.#...###..##....##..##.##..#.#.#.#.###.####.##..........##...#.###.##....#..##.##.##..##.##....##.#.#.##.##...#..####..######.##.##.#.##.##.##..######.##..#....#.##.##....###.....##.#####...#.#.#..#.##...####.####.#..#.....#.#...#.##.##.##
#.##..............#####....#...##...######..##..#.#..#.##.#.#..#.#..###.#.##.##############..##.###.......#########...##..##.#..#.##..#############......#.###.###.#.#.###.##......####...###.##..##.##..##.###......##....#.##..##..##..#....#.#..#.##.....##.#.#.#...##.##.###..#.#####...#.#.#........##.##.######....###.#...#.#.#.##.#####...#.#..#.##..#
#.#####.##.##.##.##.....##...#####.##.##.##.###.#.##.#.##.#.##.#.##.##..######.####.##..#.##....#...##.####.##.##.###.###..####.#..##..###.#.##..#..####.#..#####..#.###.###..####...##.#...#..##.#..###........###.######.#####....####.###.#####.#.##.######...#.##.##...######...#.#.##.#######.#######.......####.##.###...###............###.###.##..#.##
#.#.#....###..#...##.##.#..#...#....#.#...#.#..........##.#.#..........##..##.....#..##......##...#.#..#....#..#..###..###..##....###.##...#..##...####..#.##.##..####....#..###.###.######.#.##..##...#.#.###.##.############.#.#####........##.....##.#.##.###...##.####..#..##.###.#.#...###.....#.#.####.#####..###....##.#####.###########....#...##.#.##
###.###.##...###.#########.###.####.#.###.#.######.#.#........#.#.##.#####.#..###.#.#####.#################.##.##.#...##...######..#..####.##....#.#..##.#.#...#.##.#####...##...##...##.#.......##..#######.......#.##..#.......#...########.######.##........##.##...##..##.##...#..#...###.#####.#.#..##..#...##..###.###..#..##.........#####.##.###.....#
###.#...######.#.#....##.###.#.#.#..............##.#.###.#.####.######...#.####...#.#...#####.#..#.#.#......#...#.#.#..###...##.##...##.##.#..#######..#.#.#.#.####..##.########.####.##.####.######.####.####.##.##.###.####.##.#.###..##.#...#.#......#########..###..##.##.#..###.##.###.#.#.#.#.#...####.#.###..##.#.#.##.#.##..###.#####.#......#.##.##.#
#.....###.####.######.##..#....#.#####.#.#.#.##....#####.#..##..##.#####...#..###.#.#.#####...##.#.#.######.###.....##.##..###...###.##.#..##.##..####.#.....####.##.#...###.#.#.#.#.....###...##....#.#....#..#####.#.#..#.####....##.##..#.#...######.#.##..##..##.##.......##...#.##.##..#.#...#.##.##.##.....##.#..#......#.##.######.#.#.##.#####....####
#.##.####......##.....###.####.........#.#.#.##.#.####...####..###.#.#.#.#...##.#.#....##.###.##.#.#.#..........##.##.....###..###...##...#######..#.....#.#..##..##.##.##.#...#.#.#####...##.######.#.####.##.#.##..#.##...##.###.##..###.#####...........##.###.......#.#.######.#.....##.#.###.#.....#....#####..##.#.##.###.##.....#..#.#.#....#.#.####.##
#..###....####.####.#...#......#.#.#.#.#######..####.##.###...##.......#.#.#........####.......#.#.#.#################.##...##.#####.##.#....##.##.####.#####....##..#...#.###.#.#.##....###....##.#...##.#.#..#.###.#..###.#..#....#.##.#..##.#######.######...######.#######.##..#.###.##...##....#.###.######.##......####.#....#.###.##.#...##...........#
##.##..####.....#######.#.##.#.#.#.#.#.####.###.##....###.##########.##############....###.#.#.....#.#..#####.###.#.#######......##...####.###.....#..###.#.####.###.###.#.#.#...#..####...###.##..##.##....##....##...###..##.###.##.##.#.##..##.#.#..####...###....#.#..##.#..##.#...####.###..####..##...#..#..######.#.##.#.#######...#.#.####.#.#.#.#####
###############...###.....#..#.#########.#....######.##....###..#.#.....#.##.##.###.#############.##.##.#...#.#...#.#.#.###.####.##.###..#...#####.##.....#....#.#....#......###.#.###.###........##...####.#..######.##.##..#.##..##.......##.#....##.#..#.###.####.....##....##....####.#.#.######..###.###.##.####..#.#..#.#..#..#.##.##.#.##.#########.#.#
#.##.##.....#####.....#.#.#.##.##.#.#.##.####.###.##.####.##.##...##.####............##..#######.....#..###.....#.......#.######.##...##...###........###.####.#.####.##.#.#.......##...######.##....#.#......#####...##.###...###.###.#.#####.##.###..##.#.....##.###.#####.#..#.#####.#.#.....##.#.##....##..#..#.##.#...##.#.##.##.##..#.#.....#.#.#.#..#.#
#.....###.#.#.#.##.#.##.#.#..###.........###..........##..##..#.#.....#.##.#########..#.##.#.#.#####.##.#.###.#########....#........#####.##############..#......###...######.##.#..###.#.##.###..###########.#...###.##.#.###..##.#.###..#.#..#....##.##.#.###.##.#....#######.#.###.#...#.#.###..#.###.#####...##.#..#.####.#.##.......##.#.###.#.......##.#
#.###.....#........#.##.#.#.##...###.###.#...##.#####..##..##.#######.#.####.#.###...##.##.#...#.#.#.##.......##........##.####.#.#...##...#.#.#.....#.##.####.#.....#..#.#.#######...........##.###..##.#.#....###....#.#.....###.#..#..##.##.##.#....#..#.#.###..####..##.#.#.......##.##.###.##....##.##.##.####.##.#...........#####....#..####.#######..#
###.##########.#.#.#.###################.##.#######.##.###.#..##.#.##.#..##........#..#.#....#........####.##.#..####.###...#########..##.##...#####...........#.######.#.#.##.##.######.#.##....##..###...#.####.####...#####.##..##.##.##.....####.#...##....#..##.##.###...##.###.##..##..##.####.###..#.##.##........####.#.#####..##.###.##.##..#....##.#
#....######....#.#.#.#.#..#####.#...........#..#.....#.#.#.##.#..#..#.#.####.#.######...##.###.#.##.#...########.##########....#.##...##...##.##.#.##.#####.##.###..............#.##..########.#..##...#.#.#..###.#..##.###.....##.#..##.#####.#######.#..###.##.###......###......#####..#.###.#.##.##..##.##..#####.#########.##....######.....###.#.####..#
#.##........##.#######...##.##....##.####.####...#.#.#.#.#.#..##.##.......#######.#.##.######..#.#..#.#.#.#.##.###...#......##....###.###.##..##...##.##....#..#...#.##.##.#.##....##.#.##.....##.##.#####.#.##.#.#.##..#.##.##....#.##..#.#...##.#..####.#.#.##...###.####.###.#####.##.##.#.#.#....##.###.##.##.##..#......##....#.###.#.#.###.#.....#.###.#
######.####.#####.#.#..#....####.#####....##...#####.......#.##.....#.#.#..##.#.........#.#.####.##.###.....##..####.#.##.#.####.###.......#.#####..#####.#.#.###.################....#.###.##.##..#.##.#....##.#.#..##.#.########.#..##.#.##.###...###.....#....###....##..###.#.#....#.##.#.#.####.##.#.#.##.##..##.#.########.######.......#####.##.......#
##...###.#..#.#.......##.##...#..##....#.##########..#####.#.##.##########..#.###.#.#.#.#.#..#########..#.#.###..##..########.##.#.##.####...##.#..################...###.#.##.#.###.##.#.####.###.#.##.##.#......##.##.#...##.......###...##.#.###.#.####.##.#.##...#.##..##.#...###.##.#..#.#.#.#.......#.#...#.##........##.####.#...##.##.#.#...##########
#..####....##...#.#.###..####.#############.####.#..##........###...##.##..##...#######.....##.##.##...####.#.##.###.##.###......#..####.###.##.##..#.##..##.#.#.####.#............#.##.#.##.###.#.#..#.####.##.#.#..#....##########...##.##..#.#.#...###...#.########..#.##..#.###...#....##.#.#.####.####.###......########...#.#...#########.##.##.##.....#
##..##..##..###.######..##.........#.##.#.#.#......########.#..#..###...##.####.#..#..#.#.####.#..######.#....#...##.#....#.#.##...##........##..##......##.........#.#####.#.#.##.........#.##..#.#.##.#..####.####.##.###.##.##....###...##.#.#.#.###.###....#.#.##..##..##.#..####.#.####....#.####..###...#.########.#.##.###.#.###..##..##.....#.##.#####
###....####.#...##.....####.#.#.##...##.......###.###.########.##.#.###.....##..##.#.####.#....#.##.#.##.####.##.##..#.##########.#####.#.##..#.##..####..######.##.........#.#####.##.#.#....##.#.#..#.#.##.....###.##.#.#.##..####.#.##.##..#.#.#.##..#.#.####....##..#.##..#.##.##...##.##.#.#.#..##...###.....##.#.#....#.#.#...####.###....#####..#.....#
#.#.#.###.####.##..#.#.#..#####..###....##.#.###..#...............#.#.###.#..##.......##....####.##......###......##.#....##........#...#.###...#####..##.#.##.###..#.#.###.###...#########.#....#.##.#.#..###.#..#..##........##.#....##.##.##.#.#..##.#....#.#.#.####...###.#.....###....####.#...##..#.#...#####..#...####.#...#...#...###.#####.##...#####
#.#####.#.##....##.###.##..#.########.########.#####.#.##.#.###.#.....#.####.######.#######.##...#######.#.######.#....############.#######.###..#..##......##.##..####.#...#####.....#.#.######....#.....##...##.#.########.####.###.##..#..##...##.#..###.##.#.#######.##.#...#####...##.#.#..#.###..######..##.##.#.###.##...####.##.###....##.#..#.###...#
#.##.#....####.##..##..###......##....#...#....#.....####.###...##.##....#.#.#.#.#...####.#..###..#.#....#.#...##.###.#####.#........##..##.####.#.########.##.#####..####.##.#.##.##...#.##.#...##.#.##.#######....##.##.#...##.......##.##.#..####.##.#.#.##.#..#.##....#.###.....##.#####.##...##..##.##.#.##..##....#.....####.###....###.##..#.##...#.###
#..#.####..#.###########.#.###.##########.####...###.##...#####..#####.#...........#..##....##...##.####.....#.#......##..#.###.###.####.#.....#.#..##.#....##...##..###.####...#######.#....#####..#..###.##..##.#.#...#.###..#.#.#.#..#.#....###...##.#.#.##...##..####.#.....##.##.....##.#..#####.#..#..#.###....##...#.#........####.#.#.##.##.##.###...#
##...#.##.##..##.###.###.###....#.#.##.#...#.#####.########.....##..########.##.#####.#####..###.##.#.########...####..##.......##...#.#.#####...##....####.###.##..###...#.###...##.##.##.#....###.#.###...#.#####.###.#.#.##.########.#.#.#.##.##.##..#.#.###.###.##.##...#.######..#####..##.##.##.#.##.##..##.###############.####....#.#.##.#......#..###
####.......##.##.....#.#..#####.#.#.#....#......##..##.#.####.#.###..........##.###......##.##...#..#.#.##.###########..############.#......####.#####.##.#.....###..#..#.....###.#.....######.##.#.......###.#.##...........#.##.#..##.#.#.####.##..##.#.#.#.....#.##....###.##.##..###.###..#.##.##.#..#..#.##..####.##..#.#######.###.##....#.#.##.###.##.#
#.#..##.##.##.######.#.##..#....#.#.###.#######.###.#......####..##.#.######..###...###.##..####.#.##...#..#.#.###...##.#.##...#.#.#.####.###.##.#.###.##.#####.#.##.########.....#####.#.##........#####..##...############...##.#.##..#.#..##..#..###.#.#.###.###..####..#####.#..###...###...##.##.##...##..##.......##.........#..##.####.##...######.#..#
#.##.#..#..##..#.#...#.###...##.#...#.####.##.#.......##.#......##..#.#......##...####.....##.##....###.##.....#.###.##.#..###.......##...#...##.#.#.#.##.####..#.##.#.#.#.#..###.#..........#.#.########.#####..##..####..#.####....##...##..##.#.##........##...##..#.#.##.##..##..#..#...###.#..#..####....###.####.##..##.######.##..#.#..#..###.#..#.#.##
#..#######.###.#.###....###.###...#...##...#....##.##..####.#.#..#######.#.#####.###.###.###..####.##....##.##.......#....##.#######.##.#.###.#....#.#.##.#..##.#.#..#.#.#...##.....####.#.#.#.#.#........##..#.##..##..##...#..#.######.###.###...######.#.##..#####...#.##.#..##..##.###.##.....##.##.#..####...##.###..##...##..#..##.#.##...##.#.#.##.#.##
##...###...#.#.#.#.####...###.#######.####.###.##...#######.#.####.#.#.#####.....##..........##....#####.######.####.###.##.....#....####.#.....##.#.#.##.##.##...##.....#########.################.#.#.#..##.#.###.#..#####...##.#.##...##....###..#.###.#####..#.####.#.#..##..##.##.#.########..#.#....##..###.##...##.########...###....##.##......##....#
###.##.###.....#.#.##.#.###...#..##....#.#.....########..#..###....#.#.##.#..##.########.#.#..####..##.#.#.#.#####........#####.####..##..##.#.##......##.#..###.####.##...####.##.##...#######.....#.###.##..#.#.#...##.#####.##...####.###.####..##.#.#..#.#..##.#.#....##.#..##...#.#.##.#...##...#.##..##..##..#.####..#.#...###.#.###.##.....######..####
#.#..#.#.#####..........#.###.##..##.#.....##.##.##.#.##.#########.#.#.##...###...##.....###.##....##....#.#.#.#.###.####..##...##.##..##..###########....##.#.#..##..####.#.#.....#..#..#.#.#..#########..##...#.###..#.#.#....##.##.#......#.#..##....##.#.##.#....##.####.##..##.##....#.#.#####.##.#####..####...#....##.#.####..#.##..######.#.##.#.##.##
#...##.#.###.####.##.##....#..#..##############...............##.#.#.#..######..#####.##.##..##.##..####.#.#.#.#...###....##..#.....##..##.##.#....######.##.....##..##......####.###.##.......##.##.##.##..###...#.##.#.#.####..#..#.###.##...##..####..#...##...####...##..#..##..###.###....##........#.#.##.#..###.#####...#..##.#..##..##.##.#..#.#.##..#
##.##..#........#..#######.##.##..#.#.######.##.#####.##.####..........##.#....##.######..##....###..........#.#.########.########.####....##.##.#...#.#..######..########.#.......##.#####.#.##..##....###.#####.#.##.#...##.##.##....#######..##..####.##.#####.#.##.#..##.##.###.#.#...###.##..#.######......##.#.#.###...###.##..##..#.###.##.#.##.#..##.#
#...##.########...##...........##.............###.#.######....#.##.###..#.####.#...#.#.#.##..##.#.########.#.....#.#..#....#..###...#.####.#...#####.....##..####.#.#.##...##.##.######.#########.#####.#......#.........####.##.##.####.#..###..#.##.#..##..#.#....#####.##.##..#......###....####.#...##.#######.......#.###....##..##.#.#.#.##........##..#
##.###.##.#...#.##########.#.#.##############.##....#...#####.####..###.....####.#.......########.....####.#####...##.####.#.##...###.#.##.##.####.#####.##.##.##.#.#.####..###...#.#......#.#............##.#...###.###.##.#.##....###..#.##.##....#.##.##.##.###.##.#.#....###...####...####..##....#.##.#.....##.##.###.###.####..###.#.#......#########.##
#..##..#..###.#####.#......###.#.#.#.#...#.....####.###.....###....##...###...#####.######..#.#######......#...###.#.........####.##.......##..#.#.##.....#.##.##.#...#.#..##...###.####.#.....####.#.######.##.###..##.......#####...##...#..##.####.#..#...#.##...#.#.###.##.###.#..#.###.#..##..######....##.##...#............##.##......##.#..###..##..##
##..##.##.##...##.#.####.####........###.#####......#.#####.#####.##########.##...###..####.......#.##.#.#.###.......#.#.#.#..#....#######.###...#..#####.#.#..##...#.#...#####..##.##.####.#.#####.###......#..#...####.######...#.######.#.##..#.##.##...###.#..###........#.##..#.####.#...##..###.##..#########.###############.....#.##..###.##.##..##..#
#..##......###..#.#.#....#....##.###.........##.###....##.......#.#...##......###.####....#####.#......###.#...#.#.#.########.####.#.####...####.#.##.#.#...##.##.#####.####.######.#...#.#.#.#...########.#.######.#.....##..###.#.##.#......##.#.##.##.#####...##.####.###.#.#..##..##..###..##......##.#....##.#.#.#..##.##.#.##.###.###########...##....##
##..######...##.....##.######.#..###.#.####.##########.#####.#.#####.##..###.##.#...#####.#...#.################.#.####.#.##....##......##.##....#.#......#..#.......#####...#.#.#..#.#.....#.###.###.#....#####.##.###.#..##..##.#..#.###.##.#.....#.##.##..###.##.#.######.#.##..##....##.##.##.####......#####.......###....#.######.###.##..##..###..##.##
#..##......########.#####...######.###.#....#####.......#.#..####.......####.#....###.##..##.####.#...##.##......####......##.#....##.#.....####.#.#####.###...#.#.###...###.#.#.##.####.######.#.#.#.########.#.#########.##.##..#.##.#.####.#####....#.##.##.#.##....##....#.###.##.####...#.......##.#.#...#.#.#######.#.####..###...#.#..#.####..##.###..#
##.#######..#.##....#.#.###.##.#...######.#..##.#####.#...##..#.#########......#.###...##.....##..#.####..#########...#.##....#.##.##.##.#.##......#...###.###.###...###.#...........#####.##.....#.#.#.#.#..#...#.##.###...#.###.#.##.#.##.#.##.#..####.....#.#.#..####..##...#........####.##.###############.#.....#.#...#....##.#.#.....##.#.##.##..#.####
#....#.....##..####.#.#.##.....##.##.##...##.##...#.#.###..##.#.#.##...#########...###....#.#..##...##.##.#.##..#...#.#.##################..###.##.#.#..#..###..######...##.########..#.#..######.........##.###.#........#...#.#.#.##....#.#..#.##..#.#####.#.#.##...########.####.##.##........#.#.#.#.#.####...#####.#.#...#####.###.#####..#.#.....##..###
####.#####..##..........######.......######...###...######.##.#.#.####.#..#...####.#####.#####..###.##.......##.#########...##.#.###.##.#..##.###..####.##...##...##.###.############.#.##..#.#...#######..........#####.####.#.#.#..####.#.##...#..##..#.#.......#.###.##.##........#########.#...#.#.....#..##.#####..#.######.#..##....#.##...##.####..##.#
#.....#.###.########.##...#.########..##.####...###..##.##.#....#..#.#.##...#..###.#.#.###.#.#.####..#####.#..#.##.########.##.#..........##....##...##..###....###...##..##.............##.....##############.#.#.########.#.#.#.#.##.#..#.####.##.###...##.######...#.##.#..###.##.##.###..#.#####.#.#####.##......##...####.#.#.####.###.##.###...##..###.#
###.#........##...##..#.#............###.#....######....#....##.#.##.#.#######.#........#....#.##.##.##....##.......#.#.#......####.#####.####.###.###..#######.#.#.#####.##############.###.#####.......#..########..............#.##.#.##..##...#..##.####.###..#.###.##.######.#####.#.##.#..###........#.#..##.###..###..#.#.#.##.......##..#..####.###..#
#...###.#.##..###.##################.#.#.####..##..####.##.###.......#.#..##.#.########...##..........##.#####.####...#.######.#.#####.#.......#.#...##.##.#..#......##.#.#.....###.#.....#####....#.#.#.##..##.#.#..#.#####.#.##....#....##..###.#.##..###..#.##.#.##..##.#.#......#.#.#.##.#.##.##.####.##...#####.##.###.##.#.#..##.######..##.###.#.##..##
#.#######.##.##....###.#.....#....#.......#.#.####.#.#...###...#####...#.##....##.......########.###.##..###.########....#.#......###....#.###.#.##.##..#..##...#######...####.##...#####..##.####.#####..##..#.#.##.###.#...#######.###.##..##...#..#.##...##..#.#.##.###...#####.##.#.#.##.#.##.......####.####.#...#...#..#.#.#.##.....####.#..#.#.#..#.###
#.###.###.#...###.##.#...#.#...##...##.##.....#.#......######.###.##.#.#.#####.###########.#.....##.....##.#.#........##.....#.#.##.###.######.#..#..##.##..###.##....###.##...####.#.....##..#..#####...####.#....####....#..##.......#..##..###.##.#.##.#####.#.#.#....###...###.#......##......#######..#..#.#.###.#.###.##......##.####.#..#.##.#.#.##...#
###.#...#####.#...##.##.#####.#####..#######.##.######..##.####...####...........##.##.#.#.##########.####.#.###.#.#.####.#.####.........##....##.#.##..###..#.....####.#..###..#...#####..##...###..###.##.....#####...#.##.###.#.#.#.##.##.##....#.#.....#.##.#.#.#.####...#.......#.####..#.##.#..##.##.#.##.#.##..#.##...#.####.#..#.##.##...##.#.#....###
#...###.##....#.#.....###.#...#.....###.#.#........#.#.##..#.#..#...#####.##.###.#.........#.#.##.##..#.......#########.#####.########.###..##..#.#.###.#.##.##.####.#..#.##.##.###..####.##..#.#.##.#....#####..#..###########..###.#..#.##..####.#.#.#####....#.#.#..############.##...########...##..##.#.##.#..##......#...#.#####.#..#.#..###..#...##..##
###..#...####.###.#.#..#..##.#####.##.......######......##.#.######.#.######.#.....##.##.#...........##.#.###.#.#.#.#.#.#......##.########.####...................##.##.#.....#.##..##.....####.#.#....##..#.##.##.##.##.##.#.#####..##....##.##.#.#.#.....#.##.......##.#.##.#.##...##.##.##...#.#####.#..#....#.##..##########...##....##...#####.#.#####..#
#.##.##.##.##.########.#.######..#############...######.......###.#.#.#.##.#####.#..#####################.#.....#.#.#.#.####.#........#....##.#.#####.#.##.##.##.###.#..#####.#..##..#####..##..#.###.####......#..##...........#.#######.##.......#...##.########.##.##.#.##....##.#####...###.#..#.##.##...#.##..##........#.##.##..####..###..##......###.#
#.#...#.##......##.##....##.##..##..##.......###..###...###.#.#.......#....###...#.##........###.####..########.....#.#..########.#.#.###.###...#.....###..#..#....#.##.#.#.#.##..#.##.##..####.#...#########.#...#############.#..##.#.#..#.#.#.#...######....##...####.#..###.##.....##.####....##..#.#..#######....########..#..##..####.##..###.######.###
#.###....#####.##...###.###..##.###.#..###.#.....##...#.#####...#.#.#...##...###.#########.#.....#..##..###..######...#.##.##.##..###.##..##..#.##.##..###########.#.##.#.#.#..##.#.##.##.##..#...#######.###.###...##.#.#.#....##......##.#######.#.###.####.###.#..#.#.#.##...###.#####..#.#.##..##.#.##....#.###.#..#.##..##.##.##.##..#..#.##.#.####.#.###
#.##..##..###...##.##...#.#.##..#.#.####...##.##....#####.##..#.#.#.##.#####.##..##.##.##..###.#...##..##.#.##.##.###...##.#.....##......######.#..#..##.##....##....##.#.#...##.....#.#...##.#.#####.##..#.#######..#.#.#.####..######.....#.#..###.#.#..##...#..####.#.#..###........#..##.#####.##.#....#.##..##.##......##..##.......##.##.........#.#...#
#....####.....#..#.####.#.#..##...#.##...#.###########.##.#####.#.#.##.##.#..###.#......####.###.#.##.###.............#..#.###.#.##.#.#.###.....##.##.#...####..####.##.#.###..#.###...##.##....##..#..##.#.##..####.....#.#..##.#...######.#.#.###....#.#####.##...##.#.#.##...########.##..##.#..#..#.########.##.###########.####.###.......#.#.#.###.#.###
#.#.###.##.#####.#.#.##.#.##..###....##.####.#.#...##.....#.#...#####..#..##..#########.#.#...####..#.#.####.######.####.#.#.######.#.###.#####.#...###.#...###.........#.#...#######.##...####..##.##.........##..#####.....###.###.#.##.......##..#.##...##..##.###..#.#.####..#..#.##.##.##..##.#.##..#####.#.##.#......#.#...###..##.##.#.##.###.........#
###.#.#.####...#.#.#.#.......###..########.......#....###.#.######.#..###..##.#.##........##.##..##.....#.#####...####.#.....###..#######.################.##.####.####.#.###...#..##.####..##..###.##########.#..##.....###......#....########.##.####..###..##..#.##.#.#.#.##.##.##..#.....##.##.#.##.##.#.#.#......######.##.##...#####..#.##..##.###.#.#.#
#.....#..#####.....#.#######.##..##.##.#.####.#.#####.#.....##.##..#.##.##....#.#########....##.##..#.#....##.#.#..#.....###.#.##..##...#.#....##.###.###..#..#.####......#####...##.....#.##..##....#.###.....#.######.####.#.##...##..........##..####...##..##...##..........##..##.#.###.#..#..#.............#.####.#.##.#...##.##...####..##.##...#####.#
#######.##.#######.#..#.......##.##.##.#.#.######.#...#.#.#.....##.#.##..##.#.............##....#########.##....##.###.#.###......#####.#.####.#....#...##.##.#...######.##.#.###..##.##......#####.##.#.#####....#.##..#....######.#..#.##.#.#....##.###.####....######.#.#.######.#....#.####.##.#.##########.##..##..#.##...#.##.#..#...########..####.####
##.##.#.#..#.#.###.##.#######..#.##.#......#.#.#..###.########.##.....##..#######.#########..##....##......#######.#.#####.##.###...###...#.#..####.###.#.......###.........#.#.##.######.###.#.#......#.###.##.###....#######..######.#.########.##...##..#.##.###....#####.#.##.#.#.####..##...#.......##.#.#######..##.###.####..#.######.###.###..##...###
#.....#.##............#####.##.#.##.######.#.#.##.#####.........###.####.####..#####.##.###.######.#######.##.###.....#.##..###.#.###.###...##.###..##....##.##...####.#.##........#.##.####....#.#.##.#.#.#....#.##.#.#....###.#.##.#####.#.#.#...###....##.#....###.##.......##.#.#...##.##..#...#######.....#.##.##.##..#...##..##.#.###....#...#.##..#...#
##.##......#.##.##.##...............##.#...#.#....#.###########.#######..##...##.#..........#....#.#.#.#..........###.#..##.##........#.###.##.#.##..####.#..#..#.##...#.#..#.####.......#.###.######....#.####.#.#########.#.#.#.#..##.##...#...###.####..#.#.####....##.####.##.#.##.##...#.####..#.##.#.###....#..#..##.###..##.##...#.#.####.######.######
#######.#########...##.########.###.##.###.#.###.##.#.###.........##..##..###.##.#######.#.#####.....#.###.#####.####.#.##...##.#.###.....#.#.......##.##########..##.#####.#.#....#.#.#.......#########.#.##...#.#.#.#...........#.##...###...#..##..##..##.#.#.#####.#####......#.##..##.#####.##..........######.##.##..##..##.....###....#.#.#.##...#.##.#
#.#.#######.#.....#######.......#...##.###.#.##.......#.####.####..##.##.##.#............####.######.#...###.....#.......###..########.##...###.#.#....#.#.##.####.#####....###.##.#.####.#.##..#.#.#.##.#..###.......#########.#......###.#.####..##..##.........#.#...##.######.#.##.##...##.#.#..######.#..#.#.#.##..##..##..#.#.###...####......##.##..#.#
#.#.#.##......#########...#.#.#.###....#...#.####.#.#.#.#....#....###.#.......#.############.........##.##########.##.##.#.#.######....#..#..#########...............#.##########..#.#....####.##........#.##.###.#####...###.#######.##.#.####.##..##..####.##.###.###..#..##..........##.##..#.#.####..#.####.#...##.###.###.##.###...########.####...##.#.#
#........#.##.#.....##..#.############.###.#.#.######.#.##.######.##..###########.##.#.##....###.###.##.##.##.###..#..#......##.#.#######.##..##.##....##.#.##.#.#.#....#.##..##..#########....###.###.#....#.##..##.####......##.#.........##..###.#..##..#..####....##...###.#####.#####..##.#.#......####..#...#.#..#.#.#.#.....##.#####..#.#.###..###....#
####.###.#..######.####.#.##............#....#.#.###....#####.....###.##.##.##.#.....#.############...........#.####.####.##....#.#..##.####.##..##.#.##..#..#####.##.#....##.###..##.#.######...###...##.#....#.##...#.######....#########.##.##.#.#.####.#.###.####.#..###.####.##.#.##..##......######..##.#.######.#.....#.###.##...#.#.##.#...##.#.###.##
##############.#.#.##.###.#############.#.##......#..##..##...#.#.#.#.#......#.##.##.......###.##...#########.....####.#..#####.#.##....###...#.###########.##..########.#....#.####..#....##..#..############....##.##.##.#...##......................##.........##..##.....##...##.#.##.##..##.#........##....#..##....#####..####..#..........####.#..#...#
#...#...#.#.#......#..#...#.#..............##.#.#...####..###.###.......##.#.......###.###.....########.......###.#.##.####.#......####.#.#.#....#.#.#.#.######.#.#.#..###.##......##.####....#####.###.###....#####.##.#..##.#####.##.#.##.#######.##..##.#####.####.##.########.##.........###.#.##.#.#######.#.####.###..###.#.##.#######.#.###......##.###
###.###.#.....####.##.#####.###########.#.#####.###.##.##.#.####..#.#.#.#..###.##.##...#...###.#........##.##.#.....#.........#.##........#####.##.#.#.#.#.#.#..#.#.##..#######.####..##.####.#.#.#.#.#.#.##.#..##.#.#..#.#####.##..#..######.....###..##.....####..#.#..###.#..#.##.#######...###########.#..#.#.#.##..##.##..........#.#####...####.#......#
#.........#.#.#....#...###...##.#.##.#######.####...#........#...####.#.##.#...#..#..#########...##.#.######..#.#.#...#.#.##.##.#..##.#.#..#.##.##.#.#.#.#...##...#..##.#.#......#.##.#..#.#..........#.#.#####..#.#.##.#.##.#...####.##..#...###.####..##.####.###...##.#.#.##............#######.....#.#.##...#......###.#..##.#######.....###...##.###.####
##################.###.#.#.#...............#.#.###.####.#.##...###.#..#.#..#.#.##.#####......##.#######......##.#.#.#.#.#.#..##.####..####.#.#...#.#.#.#.##.#####.#.##..#.##.#.#......##.#.##########.#.#.#.#.##.#.#.##....#.#.#.#..#####.#####........##....##.#.###.##.#....#.###.##.##.##..#..##.####.#..###.#.######.#.#.##..........########.##...####.##
#........###.#.....#.#...#########.##.####...#.....#....###..####....#######.#######....#.##.....#.#.####.##.##.#####.######.####....###.......#.............##......##.#.#..#.#.##.#.......###...#...#.#.#.#.##.#.#.##.##...#.###.##.......##########..###.##.....##.##...########.#####..##...##..#.#....##.#.#..#.##.......###.#.#.##........###..#...#...#
####.#.#..#....###...###.##.##.....#########.############...###.####.#....#...##.#.##.#.#######.##........##.#####....#..#...#.########..#.##.###.#.##.#.###..######.#......###########.###.#.###.###.#.#............#######....#...#.#####...##..#....##.#.###.#####..###..#.##....#.#.##.##.#####.#...#####.#...##..#.#####...#.###.##.#.###.##...######.###
#....#.##...#.##...#..#......##.####.#.........####...#######........####...#.#.....#######.#...######.#.#####.#.#######...#.#..........###########.##.###...##.##.....###.####.#.##.#####..........#...############..##...###.##.#####.##..#..##.###.##..#..##.#.##..###..##.##.##.#....####.#.##....#.##..#...#..##......##.###..##.####...#..###....#.#...#
######.#..#.#####.###...#.##....####...#.###.#....###.........#.#.##.##...#.#######.#####...#####.#.##########.#.#.#.#.###.#.#.########.#.#.##.#.....#######.##.############.#.............##.#.###.#.###....##....##.##.#.#.......###..##.###....#...###.#.##.....#.##.##..#..###....#####.#...#..#.##..##...####.###.##.##....##.##...###.#####.#.####...###
#...#..##.####....#...###.#..#.##....#.####..#.#.##.#.#.#.#.#.#.#..####.#.#.#....#..#.#.###.........#.#.#.##.....#.......########.....###.#......#.#.#............#.####..#..#.###.###.#.#.##.####.....###.#..####....####.###.#.#..#..##########...#........##.####.#..##.##.###..####.##..#.###.#########.#.##.###.#.######.####..#.#...#...##....#..#.#...#
###...##..##.########.##..#.####..#.#####...##.#.#....#.#.#.#.#.#.##....###.####.##.#.....#######.#........#####...###.###..#.#.#####.##....####.#.#####.#.#.##.#......##.##....######.#########.##.#.##.####..#####.##.#..########.##.##.#.##.#######.###.###....##.#.###..#.##..##..#.###........###....###.#..##........#####.#.####.####.######.#.##.###.#
#...####.##...........##.####.#..####.#.###.#..#...#.########################.....#...###.#####.###.####.#.......#.#.....##.#.#.##.#.....##.##...#.###.#######..#.##.#.....##.###.#....##...###.....#....##.##.......#..##....#.........#..............#....###.###..#...##.#.###.##.##..###.####.##.####.##..#.##..########.....#.#..#..#.####.#.....##..####
##.##.....#####.#####.#####.....##..........####.#.#.#...#.#.#..####.#.....##.###.#######...........#....###.##########.##....#.#....#.#.#...###.###...##.##...##########.#######.###.###.#.....###.##.#....##.#####...##..##.####.####...#.##.###.#.#.####.......##...#.#.....#..##....##.#....###...##...##...###......###.#######.###.#..#.#.##.#####.##.##
#..##.##.##########...#.....#.###..########.#....#.#####.......##.#....##.##..#.........##.#.##.###.##.#.######.##..#......##.....##.#.###.#..##..####.....###.#....##.....#.#........#.######.############..###.#...###..##...#.########.############.##...###.#####.########...###.####..#.####...#..##.##..###.##.#####.#...##.#...####.##.#.##.#.##..#...#
##########.....#....#.#########...##....########.###...##.####..#.#######.######.#.##.#....###..##..##.###..#.#..##...##.###..#.#..#########.##..##.###.##.#...####.######.#...##.#.#.#..#.#...#..#...#.####.##..###.#.#######.#.##...#####......##....##.#.#.....##...###...#.###.#..#.##......##.#####..###.#.#.##.........#....#.#..###.##...##....#.##.###
#.#####.###.##...#.##.######....#..####.#.##..######.#..####.##...........#.############.#.####..####..####.....##..#.#..#...###########.#....##.##..#####...###.....###...##.#####.#.##.....#.##.###.........##.##....##...........###..#####.#....##..#####.##.#####.#.#.#.....#...##....##.###..#.##..##.#........##.#.####.####.####...####.#..####.##...#
#..##.#.#....#.########......##.####..#...###.#.##.####..#....##.##.#####...#.##.....#.#.#.#..##########....#.#....########.##.#.#.#.#.#.###.##..###.#.#.##.########.#.###.#..#.#...###..#.#.####.....#######.......###############.#.##...######.########.#####....##.#.######.##.###..#######...##....###.#.######..#.#...#####....#.#.#..#.#.##..##.....###
#.##..#.###.########.###.##.######.##.##.##.#.#.#...#.##.####.############.##.###.##.....####..#.#...####.#.#.##.###...#######...........#########.#......####..###..#.....####...#.#...##.####.###################.##.#.#....#.##....####.#.######..##.#...##.###.##..#..##.....#..###.###..###.##..####........########.#.......####.###.##......##..#####.#
#.###.#.#####.#..#.....#######.##........##.#.#.###.........#..######......##..#########.#####...###.#.#############.#...#.#.###########.#.##.#.#....####.##.##.#.##.#####....###########..#.........................#.#.####....####.#....#.#.#####..#.###.........##...#######.#.##.#.....##....##...#####.#####.###.###############..#..#####.#####.#.##..#
#..#.......#..##...#.#.##.##....#.##.###........#.#.#######.##.#.##.######....##.#.##..###.#.###..##.#.#.##..##.#....#.#.....##.................###.####........#.#........####.##.#.###..####.##########.########.#......##..##.#.#..##.###.#..#..##.#.....#######..##.##.#.###...##.#.######.#####.###..##.##.##.........####..##..##...##.##...#......###.#
##.#######...###.###.#.....###.#####.#...##.#.#...####.##.#......#.........##....#.###..#......##.##.#.#.###....###.#####.##..###########.#.##.##...##...#.##.#...#.##.#.#..##..##.#.#.####....#..........#...##...#####.##..##..#.##....#.#.##.#.##..#####.##.###..###.#......###..#.#.#.#.#...##.......###....##.#########....###.##..###...#.#...#.####.#.#
##.#.#...###...#.##..#####.#.#..##.#####..#######..#.#....##.#.#...#.#.#.#..##.#.....##.##.#.#....#....#.#.####.#####.#.#####...##........#.##....#.#############...##.####.###.##.#.#..##########.#.##.#####....#####....######.#.#####.#.#.##...###...######.#.#.##.....#.#.###..##.#.......###..#.######..##..#......#.##.####......######...#.#.####.....#
#......#######.#######.......##.....#....##.......##.####....#.##.####.###.##..#.###.....######.#...##.#.#.##.#.#..##....##...#....##.##.##..##.#.#.#.#.#.#.##.#..#.##.#....#.#.##.#.#.##.....#.#..########.########.####.#.#....#.#.#...#...##.###...#.#..##.......###.#######.##.##...#######...##....#.##.#####.####....#..#.##.#####..#.##.####......#####
####.#..##.#.#..##.#########....###...#.##..#####.........##.#.#############..########.####.#...##.##...........##..####....#.#.##.#####.#..###.#####.......#....##########......#.#.#..#####.....###.......#####.........#.####.#.#.###.###.#..#.###.####..######.##.#.##.#.##..#....#.........#.##.##.#.#....#.#.#.#####.#.##.##.#.#.##...##...#######....##
#.#####.#......###...###.....#.###..##########....#.#.###.##.#.#.#.#.#.....######.............#.#...###########.#..##....######..###.#...##.#....#.#..#.#.#...####.##.##.####.##.......##.....#####.#####.#.....###.#.###.#.#.##.#.#.#....##.##.#......##..##..#....#.#..#.#..##.#.#####.#.########...###.##.#........##.###.##..#.#....#.#.##.###.######.#..#
#.#.#...###.##..#..###.##.#.#####..###.##......#.###########.###.#.#.###.#####.#..##.#.#.##.###.##.##.......###.##.#########.#..##.....#.######.##.#.######.#.#.....#......##.########..###.###..#......#######.#...###.....#.#....#.####.#...#.#####.####.###.####...#.##.#.##......#.######.....#######.#..##########...#..###.....####.###..#.#.#....#.#.##
#...###.##...##...##.#.######.....##....######.#.#.......#.####.......##.#.#.#.#.##..######.##..##.#..##.##....................######.####.#....##...#......#.##.##.######..###.#.#.#..##.######.######.#.....#.##.######.#.....##...##.#.##.##.#.#..........#.#.##.###.##.#..###.####..#.#.#.#####.###.#.##..#.#.###...###.##...#.#.......###.#.....#.####.##
#.#......########.##.#.#....###.######.##..########.#.##...##.######.##..#........######....###..#############.#############.#...##...#.##.##.###..#.##.#.#.######..#.##.##.##........###.##.....###.#..#####......##.##..##.##..###..........#.#.###.##.###........##.....#.###...#.#.##...#.#.#.#.#.#......##.....###...#.#..#.#.#.#.###.......##.##...##..#
#.##.##.####...........###.##.#####.##.##.##..#..#########.##.....#..###.###.######.##.##.###.#####.....##.######.###.#......########.#.....###...#######.####..###..........########.#....#.###.#...##.#.....###.##.....##..#..###..#.#.####.#.#.#...#####..#.#.##..#.#.#.....#.###....#.###.....#.#.#.######..#####...###.#.########...##.##.#..######..##.#
#######.##.##.######.####..#..##........#..##.#.##.#.#.....######...##...#.###.##.......#.###.###.#####.#....##.....#.####.#####..#...##.##.#######....##.#..##...#######.##.#.###......#######..###.##...#######..##.#.##..###.##..######.#......#.#.#.....######..##########...#.#.####.#.#.#.###...#.....##.##.....###......###..##.####.#####.....#####..#
#..........#####.....##.##.##..########.##.#..#.##.#...#.#...##...#..###.#.##..########.###.#.#...###.....##.####.#......###...##.#########.#.##.###.#..####.#..#.###.#.####...#.#####.##..##.##.#.#.####.##......##..#####..########.#....###.#########.##.##..###...#.#.#.###.##...#.##.#.#.###.##.##.#####.....#.#...#.######.##..#.###.....########...##.#
####.#.#.#..##...#.#..#.....##.####........##.#.##.#######.#..##.###.#.....###.#.#.......#....##.##...#.#.#.......##.###..####.#.....#.##...#.#..#.###.##..#.#.##........#.###.#........##...........#.##.#..###.#######....##.#........##.#.#....##..#########.....###...#.#.#..#.###.##.#....##.##.....#.#..##.####.###...........####...#####.#.###..###..#
#.#########..#.######...#.#.........#.##.#......#...###.##.##..#####.#####.....#.###.###.###.##..####.#.#####.########.#.##.#....#.#....###.#.##.#.##...##.#.###..##.#.#.........##.#.#.#######.##.#....#.##.##...##.##..#.##..#####.##.#....#.#####.##.#..########...###.#.#.##...##..##.#.#####....#####.#.#####.#####..###.#.#####.####.............##.####
#.#.#.#.#.##.####..######.####.#########.#.####.#.###......###.##.#...#..#####.#.#.###...###..##.#..######.####..#..##.#.#..###.#######..#.........####..#.#..######.####.####.#..###.#..##...########.#########.##..#..######.#.#...##.#.##....#.#...#.##..##....#.###........#.#####....#.#...#.##...##..#....##.#.#.##.#####...#....#.###.##.#.####.......#
#.#.......#...#.#.##.############..#.#...####.......##.#####......#.#.#.######.#.#.##..#.....###.#.###.##....###.#.##....##..####.#.####...######.##.###.#.##..###.####.###....#.##...##..#.#####.##...#.##..#.#####.######.#......#.##.####.##...###.#..##.#####.#..###.##.##.#.#..#..####.#.###.########.#.##...............#####.####.########...######.#.#
#...#.###...#......#.#..###...#.##.#.######.######.######.#######.###.#..#.........##.###.##.#.#.#.##...####.......#####....##.##........###..##...........###.#.#..##....##.#.#.####..##....##....###.#.#..##..#.##.###.#....########..##...###.##.#.##.##.#.#.#...##.#######.....##.##..#.........###.#.....#########.#.#######...#.##.#.....##.#......###.#
##.####...#.#.####.....##...#..........###..........#.#.#..##.....##..##.#########.#########.......####.#....###.#.......##.##.####.#########..###########.........#####.#####.###.##.####.#..####.....#.##..##.#.#..#.#...####.###..####..#.#......#.#...#.#...###.#..##.##.#.######..##...#####.###.#.##.##..#.##.#.#######.#.##.##.##...######.#.########.#
####.###########.####.#########.#.####...##.#####.#.....##.######..##.##.###.......#.###.#.###.#.#..#.#.#######..##########..#.#..########.###.#.#.#.#.###########.##.#....##..##...###.####.###.#####....#.##....##...#####......#.##.#..######.##.....#...###...#.#.##..#....####.#.###.#####.#####.#.#...##...#.....#.##..............#......#.#......#.###
#.#...#.##........###.#.#.......#.#....#....#.....##.##.....#.#...##.....#.###.###....#........#.##.....#.#...#.##..........##.#.##.........................##.##..##.##.#####.#..#..##...#.......##...##....####.###.##..#######...#....##.#.#######.#.#.#..####......##.##.#....#.#.#.#..#.....##.#.....#..#.###.#####....#######.#.#####.#.#.#.######.....#
#.###...###.#.#.#.......#####.###.###############.#########.#.###..#####.......#...##...#.#.#.#########.#.###.#######.#.###.##...######.########.###.#.#.##....###....#...##.#.#####....#...#.#.#....######.##.#......###.#.###...#...#.##............######.#....####.##.#####.###.#.#.#.##.######...#####.##.#.........#.##############.#######.###..#######
#.#.##.##.########.#.##.....#...#.###.#.##.#.######.#.#.#.......##.########.#.####.#..#.#.#.###.##.####.#.##...#.#..#.###....#.###..#####...##########.#######.#.####.###.##.###..##.##.################....#....####.#.........#.##############.##.#####......##.#.....#....##.###.#.........####..#.##.####..#.#########.##......#.#.........####.#.###..###
#......##..#.#.#.#.#.######...#####..........#..##........##.##..........#..#..######.#.#.###................#...##.#.######.....##.#.....#........###.###..#..............#.##..#########.#.##..#.###.####.##.###......#.##.##.#.#....##.#.####..#####.#####.##..#####.#.#####.#.#.#.#######.#....##.##.#..####..##.....####.######.##.########.#..#.#.#.##.#
#.####.###.#.....#####.#########.#..###.#.##.##..###.###.##..###.#.#.#.#...###.#.##.#.#####...#.#######.##.#####.#..###......#.###..###.###.#.####.#.###.##...#.#.##.#.#.#.#.#..###.#..##.....##...#...##.#.##..#####.###.##..######.#...........###....#.###..####.........##..............#.#.########...##.###....#.#..#.#.###....#.....#.#.#.##.#........#
###.....#..#####.##................##...####....##...##...####.#####.###.#.##..#......##.####.#.#.......#####.#..##.########.###.##.#.#####.###.......#..###.####.#..#.###...##.#.#.##.######.####...#.#.....#.##.##...#########.#.#####.###.##.##.##.#.......############.##..######.#.#.#.#.#....#.#.#.###...##.#########.#.#.#.####.###.#.#.#.#....########
#######.##.#........#####.#.#.##.#.#..#.##...##..###.###.##.#..########..#.#..#####.#.#...#.#########.###.#.#.##..............##.##...#...#.######.##.##.#....######.#.#...#..#.........##.##..##..#.#...###.###...##.##.#..#.#..#..#.########..#.....#.####.##.....#.##.#..##.....############.####.#.......#......#.#.#.#.#.#.#.#.##.#.###.#.#...##.####.#.#
#..##........####.#.#.....###..######.#.#..#####.....#.####.##.#.#.##.#######.#...#######...##........#........##.##########.##..####.###.###.#.#..#.....###.##....######.###.#########.......##..#####.##.#..####.#####.##.#.##.#.##...#..##########.#.#.....#.#.#......##.##.###......######...###.#.#######.####.....#.#.#.............##.#.#.###.........#
#.##..######..##..###.#.####..####....########.###.#.#...................##.#####..#.#....###########.##.##.##....#.#.#.......##..##..#.#..#....#####.##......####.##.#.###.#.#######.#.#####.##.#########.##......#.#.#.#.........####.#.##.#.#.##.###########.########.##.#....########.#.#..#.#.#.#....#..#....##.####.....###.#.###.#........#.#####.##.##
#....##......#############.#####.#######.###.#.#...#.###.#.#.#.####.##.###..###.##...####.#..####.#...#############...#######..##..##...##.####.#.#.###..###.##..........#............###......###.#.#.#....######.#.#.....#.#####.#.#.......#.#.#....###...#.#.###.........#.####.....##.....##.......##.#.##.####..##.##.########..##.#.#.##.#......#####..#
###.####.##.##.#....###..#.##.......##.#.........#.#.##..#######....#..#.#.##.#..###........##....#.#.#.##.#.#####..#.........###.#####..#.#.........###.##..##.#.###.##...#.########..#..####.##....#.####.####.#.....##.##.##......#######.#...###.##...#...###.#########....#.##.####..##.####.#.##..###..#....##.........##...###############.#.#...#.####
#.....####.....####...##.#.####.#.#....#####.##.####..#####.#.###.#.##........#.##...##.##.######...#.#......#...##.#.##.####...#..##.##.....#######......##..###.##...#####.#......##...##....###.#...............#.#..#.#..##.#.##.#######.#.#........#.#.#..#....##.#######......##...#####.########.....#############.##....####.###.#.#...##.#####......#
#######.###.####.####.#......#########.#.#.###....#####...........######.#.##......#.##.#....##...#.#.######...#..#####..##...#...##...#.#.###.......#.##.#..##...###.#########.###....#######.#...##.#.#####.####.#.#.#####..#####............##.#.##.#######.##.#............######..#.....#.#.....##.#.###.#.#.#.#.#.####.##.......#......#..####.####.####
#...........#.#...#...######.#..###.#....#.####.###.#.########.######.####.#..#.#.##.##.##.#....#########....#.##..#..#####.#.#.#..###.###...#####.#.#.##.#######...####....#...#...##.###.#.....#..#####.....#....#####.#...##...##.##.#.##.####.###...##........#####.######........##.#####...##.##..#.......#.#........#####.##.###.###.##.###.#.#.##....#
########.#.##.###.###.#.#.##.#.##.....##.........##............#....#......#.##.#.#..##..####.#.##.#.##...####.###.#.##.#...#.####.........###.....#.#.#######.#######.####.##.####.#..#.....#.#.#.####...#.#.##.#...##....#####.##..#..#.####....#...#########.#.###.####.....#########...##..#.##.###.#.##.##.....##.######..###........#######.......#.##.#
##.##....#.#..##...#.........#.######..##.#.#.#.##..##########.####.#.#.##.####.#.##..##.##...#.#.......#.######..........#.#.##.#.#.#.#.#..###.##.#.#..##...#..#.........#.####.#..#####.##.#.#.####.###.###.##.##.##..#####.#.....#####.#....##.######.###.######........###.......#.###....##..###.#.#..#####.##..#........####.##.#.#.........##.##.#.####
#.....#######.#..#...#######......#...#######.#.#..###.........###....#######.###.#..##..#..#####.##.##.#.#...#..#.#.####.###.#....#.#.######...#..#.##..###.##.#####.#.#.....#....####...#..#.#.##.......#...##.#...#.#####....#.#...######.#.#######.#.#.#...#.#..##.###.#...#.###.....###.####.....#.#.###..#..######.####....#.####.#.#####.#..#.##.#....#
#.#.#...##......###.##.......##.#...#..##.....#.##.#...#.##.#.##...##.##..........##.#..###.##....#..#..#.#.#...##.#.#....##..#.#.##.#.#......#.#.##..##.#............#.##.##...##.#....#.##.#.#.#..#.#.#.#.#.#..#.#.#.#.....#.##.#.#.#......#.#.............#.....##..#...#.#.#...#.##.##......#.#.#.#.#.....###......#....#.#.##....#.#.....#.##.#.##.#.##.#
############################################################################################################################################################################################################################################################################################################################################################E#

#S##############################################################################################################################################################################################################################################################################################################################################################################################################
#..##.##..#..........#.#...#..#..##..#..#.##.##.....##..#.#..##...#.#.##.##.##.##.##......##..#.#..##.##........#.##.##.................#.##...#......#....##..#...##..#..##.##..##.####.##.#......##.#.##.#.#.#.#.###.#.#.#.#..#.#.#.........#...#.##.##.#......#.#.#..##.#.##..#..##.##....##.#.#.........##......#.##.##.##.#.#.##...#..#.#.#..##.##.##.##....##.#.#.#..##.##......##..##.....#.#.##.#..##.##
##.##..##.##.####.##.#.###.##...####.##....#.##.#####..##.##.####.#....#.#...#.##..##.#######.#.##.#...####.#####.##.###.##.#.##.#.######..###.#.####...######.###.#..##.##.....###..##.......#.####.........#.#.#..#........##.....##.##.##.##.###..#.##...####...#...###....#.##.##.....##..#.....#.#######..####....#.##..#......###...##.....##...#.##..##.###....#.##..#....#.######.#..#.#......#...##...#
#..#..##...#########........#.###.#..####.##.#...#..##.##.#..#.##.####...##.##....##....#####.#.##.#.###.......##.##.#...####.####...##.##.#.#.....####.#..#.#.##..##.##..##.####.#.####.###.#####.#.####.#.##.#.##.##.####.###.#####...#.#####.##..##..#.###.###.##.###.#.####.#.....###..##...##.#####...###...#####...##.##.######.#.#####.#######....##..#.#.#.####..#.##.######...##.#.####.######.###..###
#.##.##..#..#....#.########...###.##..##..##...#.#.###.#....##.......###.##....########.#.##....##.#.#.#####.###..##...#...##....######....#.#.#####..###.##.#..##.##.#..##..####.#..##....###.##..#..#.######...#..##.##.####...##.##.####.##...##..##.#.#.#.#.####........##....#.#...#.####.#####.#...###...#.....##.###..#..##.##.#.#.#.#.#.#####.####..##.......###....#...#.####..#.#.#.##.##......##.##.#
#.#...#####.####.#..#.......#......##..##....#####.#.#.##.#######.####.#....#.####.#.##....###.##..#.#.#.##..#.##.####.#########..#.#.#.####....##.#.####.##.#.##..##.##.###.#......###.######..##.#.##...##.#.#...##......#.##.##..##.#.#...###.##.##..#........#.#.###.#.###.#.##.#.#.#...##.....#...#...#.####.#.#####.##...###...............##.....##.##..#######.#.####.#....####.#.#....####.#######..#.#
#.##.##.#........##.##########.###.#..######..#.##.#.#.##.#..#.#...##....######..#.#..##.###.#.###.#.....###.#.##..###...###..###.....#....##.###..#..#.#..#.#.##.##..##..#....#.####....##....##.....#.####.#####....##.###.....##........####...#.##.##.########....#######..###..#.#.##.##..#.###.####.##....#####.###.#..###.##.##.###.#.#.#..##.#####..##..##.#.#.#.#.##.##.#.#........##..##..#.#.#.##...#
#..#..#.########.#...###.##..###.....##.##...##.##.#.#.##.#.##.###..####.##..#..##...##..#.#.#.#...##.##.#.#...###.#.#.###.#.##.#######.####....#.##.##.##.#...##..##.###.#.####.#..###.#####.####.####..##..##.##.#####...#####.##.#########.##.##.##.#......#.#..##...#.#.##.###.##.#..####.##.#.....#####.#####.##.#.#.##..##....##...#.#.#.##......##..##..##....#.........#######.##.#####..##.#.#.#.##.###
##.#.##.##.......###.#.#..##.#######.##.###.##...#.#...##.#.##.#.#.##.#...##.#.####.##..##.....##.#####....###.#..................##.##.#.#..####.....#.#..##.##..##....#...#######..##.#.##..#.#..#..##..#.###.#......#####..##..#......................#.####.#.#####..........#.#####....####...#.###.#.....#.#.##......##.##.#############..##########..##.##.##...##.##.#...####..##..#..##.............#.#
##.#.##..#######.#...#.#.##.......#..##......##.##.###.##...##.#....#...####.#.#.#...##..#.######...##..##.#.#.#.##.###############...#.#.##......#####...##...##.####.##.###...##..##....###.#.##.#.##..##.##..##.##.####.##..##...#.#.#.#.#.#######.######.##.#...####.######.####.#.########..#.#...#.#.#####.#.##.######..##....#.###.#.##.##..#.#.##..###.....#.#.#...#######.#..####...###.#.###.#######.#
#....##.##.......###......##.##.#...########.##.##..##..###..#.####.###.##.......##.##..##.##.#.#.###..###.......######..##.#.#.#.#.#........##.####..#.#####.###...##..#.....#.###....####.....##....##..#.###.....###..#.###.##.#######.#####.#########....##...#....#.....####.#........##.##.###.#......##.#.#..#......##....####.#.#....#.###.#.#....##.#.###.#######....###....###...#.##..#...#######.#.#
####.#...#.#.###.#.#####.##########.#.##.###.##....##..##.#.##.##.#.##..####.#####...#.###.#..#.#...#.##...#.#.###.##.#.##....#.#.#####.####..####.##.#..#.#....##.####.#.#######.##.####.#.###.#..#####.##.#.##.##..##.##..#..##....#..####.#.......#..#.####..########.#.###.##.##.####.###.#############..#.#.##...#.#.##..#.###.......######.#.#...#.##..#..##...##..#.####.####...##.######.#.#.##....#.#.#
##.#.#.#######.#...##..#..#.#...###.#.#..#...##.######.#..#..#.##......##.##..######.#.#.#.##.#.#.########.#.#..##.##.#.#..##.#.#..#.#...####..#.#....#.##.##.###...##..#.##.#.#...#.###..###.#.#.####...##.#.##..####...##.##....####.####..#.#######.##...##.###########.#....#.##.##.####..#.#....##.######.#..#.########.####.#.#######.#.##.#.#.#####..##.#######..#####.#..#...######.#.#########.####.#.#
#..#...##.#.#....#####.##...##.##...#.##.###.#....#.#..##...##.#######.#..##.##..##..#.#.#....#.#...##.#.######.##.##...#.#####...##.#.###..##.....#.##.#...#.#.##.##..##.##...##.##...##..##.#.#.##.###.##......###...###..##.####.##....##.#....###...#.###.....#......#.#.####.#........##.....####.....###...##.#.##.##..####.#.##...##.#.##......#.###........#.##..##.....##.#####.#......#..##.....##...#
##...####.#.###.###.#..####.#...###......###.#.####.##.####....#.####..#.##..#..####...#.####...#.###.......###.#..##.###.#.##..###....#.##..###.#.####...###.#.#..#..###....#.##..#.###..##..#.#....#.#.####.#####..#...##.#..####..#.#####.#.####...#.....##.####.########.#......#.######..#####..#.###...#.###..#.#...##..#.#.#.##.####....##.#####..##.########..#.##..#.####.....#.#.######.#####.#..#.###
#..#..##....###.#.#...##.#..##.##.##.#.#.......##.#.#...######.#.#..##....##.#.###.##.##.##.###.#.#.##.####..#....##..###....##.#.#.####.##.########..###.##..#.##.##.#.#.#######.##.#.#.##..##.#.####...#.#..#.....##.####.#.##..#.##.#.#.#.#.##.##.##.#####...#.#...#.####.#.#.#.######..##..##.#.##...#.#...#.##.....###..##.#.#..#.#.#..####....###.##...#.##.##.##.#..####.#..##.##...#..#.......###.##.#.#
#####..####.#.#...###.##.##.#..##..###########.#..#.##.##..##....##.##.#####...#.#....#...#..##.....####.###.###.####.#.#.####........##.#......#..##.##...#.##....##.#.#..##.##..##.#.#..##.#.......#.###.##.#.#########........##..#.#.#.#.......#.####.....###...###..#.#.#.#####.##...###.##.......#.#.#.#...#..#.#..###.##.#.#.##...#.###.#.####.#.##.###........#...##.##.#.######.###.##.########.......#
###...##....#...#.....##....##.###.##.#........#.##.#...##..###.##..##.##.#..###.####.##.##.####.####.#..#...###..##.........###.####.#..##.#####.##..#..###..####.##.....##..###.#..#.#.##..#.####.##..##...........##.##.#.######.##.#.#.#.###.#....##..#.#####.###.#.##.#....#.....#.####.....##.#.######.#.###.##.##......#........#...##..#...##.#..#.....#.#.####.####.##....#.#.#.##.......##.#.#.#######
#.###.##.##...#.#####.##.##.....#...#.#.######.#.##.##.####.#...##.###..#.#.##...##.#..#.##.##.#...##.##.###.#...####.#.###.##...##.####..#.#.##...##...####.##....###.#####.##.#.##.#....##...######..####.###.##.###.....####..#...#.#...#.#####.#.##..######....##.#.#....##...##.##.##.##.##..#.#...#.####.##...#..######...########.#..##...###..#.##.#######.###...#.#.##.####......#.###.####...........#
#..#..#########.###.#.#########.###...###........##.#...##..###.#..#.##...#..###.#..#.##.##.##.#.####.#....#.###.#.#..#########.##...#.##.#.#..##.##..####.#..####.#.#.#.##..##....#.#.####..###...###...##..#######.####.###.#.##.#.....#......#######.##.#....##........#.##..######.........#.####.###....#.##.#######.#.#######...##.##.#..###.##.#.#...#.#.####.#.###...#..####.######.#.###..####.########
##.##..##.#.#####.#....##.###...#####.########.#..#.##.##..##.#.#.##..###...##.#.##.........##.#.##.#.##.#.........##..##..#.#..##.###........##...##....#.#.##......#....#.##..##........##..##.#...#.###..##.#.##..#.##.#........#.#.#.##.#####.#.#........#.##..##.#.##########.###.###.##.##..###.....######.....#.#.....##.....#..#######.....##.....#.......##....##.###.##..#....##.....##.##..#.#......#
#..##.##..#.#.##..####....#...#.#.....#.##...###.##.##..##.##.#.#.##.##.###..#.#..##.#.####.#..#.#..#.#####.####.###..##..##.#.##...###.###.######.##.####.#..######.#.####.########.#.#####.###.#####.#.##.##...###.#.##...#.#.#.######.##...........#.####.#..##..#.#.......##.#...#.##########...##.#.####.###.####.##.#.##..######..#.###..#####..###.#.#.#####..#####.#.#....##.#####.###..#..##.#.#.######
##.##..##.#....#.########.#.###.#.###.#.####..#..##..#.##..##.#.#..#.#..##..##.#.##..####.####.#.##.#.#.#.####.#..###..##..#.#.##.###.#.#####..#...#....##.##.#..##..........###..####....#..#.#..##.#.#.##....#.....#.#..###.###.#.#..#.##.###.#.##.##...##.####..########.#......#......#.##.###########..#.#.#..#.#....#..##......#.##...##.#.#.##.#.#####...####.##..#.#.#.##..#.#.##...###...##.......#.#.#
#...#.##..####.#.##..........#######..#.#.###.##.###.#..##.##.#...##.#.####..#.#..##..#.#..##..#.##.#.#.#.##.....##.#.##..##.#.#...#......####.###.#.####..##.#.######.#######.#.##.#..####.##.#.##.......###.########...####...#.....####....#.#..#..##.###....##..##.#######.##.##.######....#..#.#.#.#..##.#.#.##.#.####.##..###.##..###........##....#.######.##.##.##.#....##........#..####....#.###.....#
###.#.###...#....##.###.#.#.##.#.#.##............#.#.#.##..##.#.####.#.#.#..##.##....##.#.####...##.....#..####.##.....##.##.#...###.######.#..##.....##..##......##.....#.##....##.##.#.#........#.###.###.#.#.##.##..###..##.########.#######.####.##....##.#####..........#.##.##..###.#.####.##.#.....##..#..........#####.##.#####...#####.##....##.......##.#..##.##.#.######.#.##.#####.####.##..##.##.##
#.....#.###.####..###.#####.##.#....##.#.#.##.##.#.#.#..##.#..#.###..#...##..#.##.#.##....#.#..########.#.##.#..#####.##.......###.....#..#.#.##..#.#####.#..#########.#.#..####.##..#.....##.#.###..####.#.........##..###.####....##.......##....#####.######...##############...##.....#.#.##..#.#.#######...####.#.#..##........#.#####.#.#..###.##..#####..#.##.#.........#.####.##.........#########..#.##
#####.#.#.#.##.##.##..##.#..#..###.############....#.#.##..##.#.#.##.#.####.##..###..##.###.#.####.#....#.#..##.#.#.#.##.#########.#.#.#.##...##.#####.##.#.##..#.##...###.##.#...##.#.##########.#.##....#.#.#######..##....###.##..#.###.#####.###..##.....##.#..............#.#.##.#.#......#.##.#.....#.##.##.#########..########.##.#..#.##.#######.....#.##.##...#.#.#.###..#######.#.######.......##.#..#
#.#.......#.#..##.#..###.##...###...#.#.#.########.#.#.##.##....#.#..#..##..##.###..##..##....##.#.####...##....#.#....#...#..##.#.#####..#.####.##..#.##.#..##....###..##..#.###.#..#.......#.#.......######.#..##.##.###.###.#.###.....#....##...##.#########.#.##############################.##.#.#####.#..##....##.#.##....##.##..#.##.#.......##.####.#####.#..#.#.#.#.....##.#########...#..##.##.##.####
#.##.#.##.#.##.#..##.#.#..##.##.##.##.#.#..##.#......#.#..###.#...##...##..###.##..####..####....#.######..###.##.#.##...###.##.....#.##.##..#.#..##....#.#.###.####...##..##.#.#.##.#.#.#.#.....##.######.#....###..#..##.#...#...##########.#..###.......#....######.#...##.#.#.#.##.##..#.##.....#.#.#.#.#.##..####..#.#..####...#.##.##.#.#.#.#..#...#####..#...##############....##.#.#..#.#.######..#....#
#..######.#.##.##..#.#.##.##.#..##......#.##..#.####.#.#.##.####.#####..#.###..##.###...###...#.##.#..##..##.#..#.######.###.#..#.###.##..#.##.##.#####...#.#.#.##.###.##.##..#...##.#.###.##########.##.....####.##...##....###.######.#.###########.##.#...######......###............##.#..#####.......#....##....##.#.#.###.##.##.##..#.#.########.###.#.##.###...#....##....#.####......##.....##.####.##.#
#.###.#.#.#.....##........##.##..######...###.###.........#.##.#.#.##..##.##..##....###...#.#####....##..##....##.##..##...#.#.##.###..#.##..#.#...##.###.#.#.#.##.#.#.##..##.###.#..#...#..###...##...#####.........###..##...#.............#.###.#...#.#.#......##.###.....##.##.#.####....##.#.#.#######.#####.####..#.#.##......#.##.##.#....#.#.....#.#.##.##..#...#####.##....#.##.######.#.#.......#.####
#.##........###.#####.#.#.....##...##...#..#....########.##........###.#..###....####.##.##.##.####.####.#####.##..#.##..#.#.#.####.#.##.##.##.#.####..#........##.....##.##..#.#.#.##.###.##...#####.##.#.#.##########..###.#...#############.......#########.####...################.#..##..#.#.#...##.#...###.....##.#......#.#.##.##......##.....###......#.#..##.####..#..#.#.##.#.......###.#.#######...##
#....##.#.#.#...#.....####.##.##.#########.##.#####....#..######.###.#...##.#.##.#.##..#.##.#...##..#.#...##....#.##.#..####.#..##..#.#...#.##.#..#.##...#.#.##.######.#..#..##...#......###..###.#.#.#..#.#....#.#.#.##...#####...#.#.##.##...#.###.#.##....#.#....#.#.#...##.##.#.##.##.##.##.#.#.###..#.###.##.####....#.#.######.....#.#.####.#.##.#####.##.#.#####....##.#######.#.#.#.###...#..######.#..#
##.####.#######...#.#...#####.....##.###.#.....##.####.##.#.#....#.#.#.####...####..##...##...#####...##.######...##.#.##.#....##..##...#...##.##....#.########.#..#.#.##...####.##.###.#####..##.#.#.##.....####........#####...#...........###...#......#######.#####...####.........##..####.........##..##.#.....##.#######...##.#########.####.##.##.####......###.#####.#.#.#.....#.######.##.##....#.#.##
#.....###..#.#..#.#.#####.....######.#.#...###.##.##.#......####...#....#.###.#.###.##.###..###..#..###...##..###.........####..##..#.########..###.##.....##.####.#.#.#..###.....#.###.##.##.##..#.#.#..#.####.#.#.#.######.##.##.####.####.#####.#.#.#.####.##...#.#..#.##...#.#########..#.##.########..###...###.#........###.##............######..#.#.####.####.#.####........#.###.....#####.###.#####..#
##.##...##.....##.####..#####....##..#.#####.........#####.###...###.##.#.#.#.#.#.#.....###...##.##..#..####.####.###.###..###.####.#....##.#..###..##.#####...##......#.####.##.##...####.##....##.#...#####.#...###.........#.#..#..#...##.....#.#.#.#..#.#.#..#.....##....######.#.##.##...##..#.###.##...##.######.#####.##.#.#..######.#####..#.#.##....##..............##.###.#..##.#####.#.###....#.#####
#...#.#.#####.###.##.#.##.#...######....####.#.#####.........###..##.####.#.#.#.#.#.#####...###..###.##.###...#...#.#.######.#..#.#.#.#####.#.##.##........###..######......###...#.####......#####...###.#.....############.#######.##########.###########.....###.#.######.#.##.#.#.##.#..###..##.#...##.###.....##......#..#.#.##......#..#.#..##.#....##....#.####.##.#.##....##########.##.#...##.###.#.###
#.#.###.#.....#...#.......###.#.#.#####.#..#####.....######.##...##..#.#..#.#.#.#.#.#..####...##........#.###.###.#.###..##....##.......##.....#.#..#.######...##.##.##.###..###.##....##.#####.#.#.#.......###.....##.##..###.##.##.#.######.###.#####.#...#.#...#.#.##.#.###..#.#.#.##.##.#.#.###.#.###..#.#.#######.########......#########.#.##....##..##.###....#.############..#.#......#.#.###....#.#...#
#.##############.####.###..##.#.#.#.###.#.##..#########..##.####.##.##.##.#.#.#.#...##....##.#####.####....##..##.....#.######.#..#########.####...#####..####..#.#..##..#####......#####.#.##......###########.#.#.....##..#..##.#.......##...#...#.#....#####.###.####....#..##.#.#.##.##.....#.#.....##.#.#.###.#.#.##.#.##..####...#.#.##..#..###.#######..###.#.###.#...####.##.....######.#.#.##.###...#.#
###...##..#......##.....##......#.#.#.#....##..##.#.#.##.#..#........#.#..........#####.####.#####.#....####..##..#####..#.##....###....#.#.#.#..#...##..##.###...##.##.##.#.###.####.##....##.#########......#.#.#.#.#....##.##....#######..#...###.#.#####.##...#..#.###.##.###.#.#....##.#####.#.#####..#.#.......#.......##....###......#.##.##...##....#.##.###.###...###.......###.##.....#.#........#.#.#
#####.###.####.#####.######.#.#.........#.####...........##.###.####.#.##.##.###.##..##..##...##.######.##.##.###....##.##..##.###...#.##.#.#.#.###.####.#...###.##..#...#.#..#...#......#.###...........###.###########.#.....#.####.......##.#..##......#...########..##.##.##..#.#.#####.##..#.#.#.#.##.#.#.#####...#.######.#############.......#..#.#######.#####.#.#.....#.##########.#####...############
#.##.......###.#..######.##.#.#.#.##.#.##..#.######.##.#......####.........###.###..##..##..####..#.#.#.##..#..##.#####..##.#....#.######.#.#...#.###....#.###....##.#.###.##.#.###.#########..#.#.##.#.######.##..#..##.#.#####......###########....######.#####..#.##..#.##..##.#.#...##.....##.#............#.#####.#.##.##...##..#####.#..##.#.###...###.##....##....#.#.#.#.........#...##...#....##...#.##
#.########.#.####..##....########.#..####.##.##.#...#####.###.##.#.###.##.###...##.####..##....##.#...#.###...##......##.##...####.##.##..#...###...##.#.#.#.##.###..#..##.#.....##..#.#.##.#.##.#..#.#.........##...#####....#..#.##...........##.#..#.#.#..##...##.##.##.##.##......#....#.#......##.##.#.##......######...#.###..##.....#.#######.##.##.#....##..##.#######.#####.#.###.###..#.#.##....###..#
#..####......##.##.###.#...######.#####...........###.##..##...#.####..####.#.####..##..##..####..###....####..##.######.####....#..#..##...###...######.#......##..##.###.##.####..##.........#.#.##.##.#.#.##....###.######...######.#.########..#.##.#.#.###.####....##..#..##.#######.#######.#.###########.#####.######.......##..#####.##.#.##..#.#....#.###.##...#.#..#..##.######......############.#.##
#.##..######.#...#...#####..#.#.#..###..#.###.#.#####..##..###....#.##...##.#....##..##.###....##.#.####.#.###.##..#.##...#.#.####.##.##..###.##.####.#....#.######.##.##..##....##....#.###.###.###...#####..#######..#....#.#.....##.#.##.#.#.######........#....####.###...##.....##......########.#.##..##.........#.##..##.##....###............##...######.####.###...######....#.#.#.##..##.#.#####.....#
#..##.#.#....###.###..##.##.#.#.####.######...###...#.###.#######.#.#..###..###.####..#.#.#.####....##.#.#.#....##....##.##...#.##.##..##..#...#.##.#.##.######.##..##..##.#..#####.####.#######.#####.##..#.###.#..#.##.#################........#.#..####.###.######......#....#.#..#####.##....###...#..###.##.#.#.##.###.########.....##.###########.####.##..##..#.#.###..##..####.#.#######..#.#.....#####
#.###.#.####..##.#.#.##.....#....##...##.####...###.......#...#.......###..##.#.#.##.##.#...##.####.##...#.####.#..##.##..###......##.###.##.###....#.##..#.##...##....###.#.##.##.....#.......#...##.....####.#.#.##.............##.###...#.#.####...########..#.##.#####.####.#####.#.###.#..####.#.#.#.##.##########...##.....#######.##.........#..###.....##..##.#...#.#.##..##.#........###.##...#####...#
#..#..#.##.##.#..#...######.####..###.#.......######.#.#.####...#.#.#.#.##..#.#....#..#.###..#.#.#...#.#...##.....#####..##.#.##.#..#.##.........##.#....##..###.###.###.#......##.#######.#.##############.#.........###.#.#####....#.##.####..##..###....#.##.#.##..#.#..#.####.#.#...#.####..#.#.#.###.....#.#..#.###.##..#####.....#.##.#.###.###.####.#######......#......##.#....#####.##.#.##.###...#.###
##.##......##.##.###.#.#.##......##.#.##########...#######..#########.#.#..##.####.#.##..##.##.#.#.######.#######...##..###....#.##.#..#.###.###.#####.#.##.###...##.....#.######...##.#######.##.#.###.###.##.###################.#....#.#.#######...##.###.##.#..##.#.##..........#.#....##..##.#....##.#####.##.#...#..##.....#.##.###########......#........##.######.#######...##.#..####..#.#....##.##.#.#
#...####.#....#..#.....#..######.##.#.###.#.##.###.######..###.#.##.....##..#.##.#.#..##..#.##.#.#.####.#.#.##.###.####...##.########.##..####.###.#.###....##..#####.##....#.#...#.......#.#...#.#.#.#.#.#.##...................#.##.#.......##.#..####...#.#..#.###.#.##.##########.#.######.##.#.##......##..#..#.###.###.###....###.#....##...######.########......##.......#.######.##.#..##...####.....#.#
###..########.##.#.#.#...##.#.#..##.#.#.#.#....##..#.#.#..##.....######.#..##.#..#.#.####...#..#.#.#.#....#.##.....#.#..###...#..#.#..##.##.##.##....##..#####.##########.###.#.#.#########.#.###.#.#.#.#.#.##.########.##.#.#.#.#######.##.#..#.##......###.#.##.##..#..#.......#..#####...##.##.#.###.#.#..##.#.##...#...#..#########.##.########...#.....#.##..#.##..#.#.#.#....##.##..#.#.##..#....##.####.#
#.#.##..#.##..#....#####.##.#.##..#.......####.###.#.#.##..####.##.##...#.###.#.##...#.####.##.#.#...####....#####.#.#.####.###.##.##.##.##.#...#.######.##.#...#.##.#.#..#.#...######...##.....#.#.#.#.#...##.......####..#.######....#######.#..##.#####.........##.#.##.#####...#######.##........####.#.##..#....#.#.###.##.#.#.#.#.#.....#..##.###.#####..#.######.###.#.#.#.###....##.#.##.##.#####......#
#.#..##....##.####..##.#.##.#.###.##.####.#..#...#.#.#..##......#...#.#...##.....###.#.#.##.##.#.#.####.#.####.###...#.#..#.#.#..#.##.##..#.##.##.....##.#..###.#..#.#.##.#...####.....####.#####.........###..#.#.#....#######.#...######.#.###.###...#######.#.###..#.##..##.######.#.##....####.#....#.#####...#.##.#................#.#####.###.........##.#....#.#..##########.#.#####......#####.#..#.####
#.#.#####.##...######.......#.#....####.#.##.###.....#.########.###.#####..#####.##....#.##.#..#.#..##.....##..#...###.#.##.....##.##..##...##....#####....##...#.##.#.#....####.#.#.#.........##.#######.....##.####.#...#.##..#.###.##.#.....#.#.#.###.#.###.######....#.##...##.#..#.#..#.###############.#..########.###.###.#.#.####...#.#.##..#.#######....####.##.....#..##.....##.#.####..###....#####.#
#.#..##...####...##.#######...##.#.##......#.#######.#...####........##.#.##.###..##.###.##.##...##.##.#.#..##.###........##.##.##..##..#.####.######.##.#..###.#..#.#.#.#####.#.#.###.#.##.##..........##.#.######.####.##....##.....#....#####.....#.#.#.#.#.###..###.##..#.###....##.##.####...#.###..#...##...##.##....############.##.##......#####.##...##..#.#.########.####.#####......#.##.##.####..#.#
#.##..##.##..###.##.....#.##.#####.####.##...#.#..#..#.###..#.##.##.##....##...##..#.#.#.......####.#######..#.#.#.###.####...####.###.##..#.#.#....#..#.##.##....##.#.#..###........#.#.##..#.##.#.##.###.###.###...#.######.###.###...####.###.#.#...#.#.#.#.#.#.##......##...#.####......#.#.#.....##.#.#####.##..##.######..#.#.#.#.#.....######.#.#..#.#######.....###..#..#.#.##..#.#########..#..#.##.#.#
#.##.##...##..#...#####......#.##...#.####.###.##.##.#.#.##.######...####....#####.....#.#.###..#.#.#.#.#.#.##.#...######.#.####.#.#.#..##.#.....####.####...###.##..#.#.##.#.###.##########.############..........#....##.#........#.#..........#.##.##.#.#.#.....##.#######.###.#.##.######...#######....#.##...#.##.......##...........#.#...#..#.#.#.##.##..#.#.#####.#.##.##.#.##.##...#.#.#.##.#.##.#....#
#.##.#..#####...#..##.###.####..###...##.....#.#..#..#.#.##.##.##..#....####..##.###.########..##...#.#.....##.##.##..#.#....#.#.#.#.##......##.##.##..##..#......##...........######...#.######.#.#.##.####.#.##.########.##.#########.############.....#.#.#.###.#........#..##....#..#.....#.###.#.##.###.#..###....#######..###############.#.##.#....#..#.##.....#.#.#.##..#.#.#.....###.#.#.##.#......####
#.##.##..#########.#..#.#.#.#..######..#####.#.##.##.....#..##.#..#####.###..###..#....##.#.##..###...#####.##.#...##.#.###.##.....#.#..##.######...##..######.##..#.#########...#..#.###.#.##.#.#....#....#.#..#...##.##..##........#####.#.#.##.#####.##......#####.#######.#####.##.##.#######.#...##..#....###..##......##.####.#...#..#.##........##...##.##.#####.#.#.##.##.....#.###.#......#.#.##.#....#
#.#...##..##..##.#.##...#.#.#.###..#..##.#.....##..#.###.#.##....##.....#.##...##.###.##.....##.#.##.##..##.#..#.###..#..##..###.###.##..#####....###..####.######.#.##......##.##.##.##.....#.#...##...##############..##.#..#.####..##.#.........#.######.#####.#.#.#.##..#...##.....##......##.#.####.##.####.#.###########........#...##..###.#.#######.......##.##...#.##....#.###.......#.#.##....#.#.####
#.#.#####..##.#....#..#...#.#.#.##.##....#####..##.####..#.###.#.#..#.#...##.####.##...##.#.##..#.##.##.##..##.#.#.##.#.####..#..#.#.#..###....####...###....#..#.......####..###..##....#.#.....######.#.#.#.##.#.##..##....#####.####....#.#.#.#.....#.#..##.##.#......##.#.###..#####..######....##.#.#...#.#.#.........#.#.##.##.####..#.####.#..##...##.#.####...#.###....#.##.#####.#.########.########.##
#.#...##..##..####.####.#...#....#.#####.##.#..##..##...##..#############.....##.....######....##.##.#...##..#.#...##...#.###...##...##.##..####.##.###.####.##...###.#....#.####.###.#######.##.....####...........##..##.###.##...##..#.##############.##.##..#.#.###.###.#.#.##...####......####.##.#...#.......##.#.##.....####.....##....#.####....########.##.###.#.##.######...#####.##.#.#.......#.##..#
#.###..##..##.#....#.######.###.##..###.....#.####..##.####.#..##.##.#.#####.#######.....#####.#..##.###.##.##.##.##..###.#.##.#####.##....###.#..#.###.##.#.####...#.#.#.####..#.#.#.#.#.##...##.##...##.#########.##.###.###.#..#....####..##.#.#.#.#..##.##.##.....###.#.#....#.###.##.######.##.##.#.#######.######.##.#.#...####.#####.#.....###.#.###...##.##...#.#.#.....#.#.#....##.##...#.#####....##.#
#.#.##.##.##..##.#.#...#........###.#.##.##.....##.##..#.#..#.##................#.#..#####..##.##.##.#.......#.#...##...#.#.##.#.##.....####.#.#.##.....##.#.#.#..#######...##.##.#.#......##.#####..#...........####..#.#.#.#...####.##.##.##..#.#...##.##.#.....#######.....####.##........###....##........##....##########.#...##....##.#######.#####.###.##..#.###.....#.#...####.#.##....#.......####....#
#...##.#...##.####.###.######.#...#.#..######.###...##...##....#####.#.####.#.###.##...#.##....##..#.######.##.#.#.#..###.#.##.#.#..#.####.#.#.#....######.#.#.#.###.#..#.#...........#.##.##....##.###.##.#######.###.#.#.....#....####.....##.#.#.###..#....#.####..#.#.########....#.#.####.####.#..##.##.###.####.##.##.##.#.#..##.###......#...#####..#...#.##.....##.#####.#############.#.###.#....#.#.##
###.##.###.##..##.......###.#####.#.##.###.#....###.####.#..####.##..####.#.#.###....###.#####.###....##.#..##.#.####..##.#.##.#.#.####....#.#...#.##.#.#..#.#.........####.#.##.##.#.#..#####.####...###.......##...#.#.#.###########.#.######.......##.##.###......##.#...#.#....#.##.#...##...##...###.####.#....#........#####.###..#########.###.#.##.##.##.##.##.#####.##...#.#..###..##.#..#####.#####..#
#......#.#..##.#######.##.#..#.#....##.#.#...##.#.#.#.##.#.####..###.#....###.#.###.####..###....##.#.#..#.##.....##..##..#.#.......##..####...#####..#.##.#.#.#########.#######..#.#.#.###.......#.#.####.#.#####.#.........##.#.#......#.##.##.#######....#####.##......###.#.#.##.##.#.###..###..#...#...##.#.##...####.####.####.####.##....#.##....#..##.....#.####.##...##.##.#.##...######.#...#.....##.#
###.##.#...##....##.........##.####.##.#.#####........#..#..#.##...######..#.....##.##.##.#.#.##..#.####.#..#.#.#####..##...#.#####....##.#..###..###.#.##...#.#...##.##.#.#.#.#.##.###.#.####.######.#..#.###.#.#####.#######..#.#.######.##.#.....##.####.....#..##.#.#.......#######.#...##..#..######.#....#####.########.#..###..#.#.##.####..###.##.###.###...........###..........###.######.####.#######
#.####.###....#######.#####....##.#.##.#..#.####.####.##.##...##.###..####.####.##...#.##.#.#####....#.#.#.####..#.#..#####.#...###.##......####.##.....###.##...###...#.#.#...#..#######...######.####.#####..#..##.....#.#.##.#.#...#.##..#.#.#####..##...###########.#.#.#.#..#.###..#######...####.#####.####..#.....###....##.##.....#....###......#.....####.################.######.#.#.#.#.....#....#.##
#.##.......####.#.#.###.####.#......##.##.#.#..###..........####..###.#.#.......##.#......#.##..###.##.#...#.#..##.#.##.##..###...#.##.######....######..##..##.##.###.......####.###.###.###........#......##.##..##.####.#.#..#...###.##.##....#.###..###...#.##....#####.#.##.....######.####.####......###..#.####.###.##.####....###...##..##.###.##.###...##.............##.###..............########.#..#
#....#.###..##..#...##.......#.##.#....##...##.####.##.#.##..#.#.##.......#.###.######.####.###..##....###...##.##.#.#..###.##..########..###.####.##.#.##..###..#..##.########.###.#.#.#.#.#.########.######..##.##..##.......##.###.#.#...#.####.#.#.##.#.###....#####..############.#.....#.#...#..########.##...####....#.#.#..##...##.####.....#####..####..##.#############.##..#.#.##.###.#..#.#.#####.##
#.#.##..###.###...#.#..#.#############.###.##..#.###########...#..############..#..##...##...##.####.#..##.####.#....#.##.#.#..#####.####...#..#.#.##....##...#.##.##...#.#.##...#............#.#.#.##.#.##...##...##..#.###.#..........#.###.###....#.#..#.....#.##..#..######..........#####.#.###.####.##......###.#..####.#...###########.#######.#.#.##..#.###.###.#....#.......####.##...#.##.......###..#
#.###..##....##.###.##.####.#.#.###.#....#..#.##..##.##.#.##.###.##......#.#.##.#.##..######.##....###.##..##...####...##.....##..#..#.##.###.##.#..####..##.##.#.....#........#.#.############...........###.###.####....####.#.##.#.###.......##.###.##...#.#######.#.###.#.#.##########..##.#........#..#.####.....#.####....###..#..#.#.#.##....#........####.........####.##.##....####.###.##.#.##.##...##
#..########.##....######........#.#.####.##.#..##....#.........#..######..........###...##.#.#..#.##....#.#####.##.#.#..#####.##.##.##.#...#..##.#.##.##.###......##.##.########.#.#.#.##.##.#..#####.#.#...#..##.##...#.##..#.##########.####.###.#......###..#.#.##...#.#.#.......###..##.#..#.######...##.#.##.#####.#..##.####..##.##.#.#.#####...###.##.#..##.####.#####...#.###.#..##....####.####..##.###
##.#..#........##..#.##########.#.........#.#.######.#######.###.##.#..########.#...##.##..#.#.#####.##.....#.#.##.####.#.#.#..#.##..#.#.###.##.....#.#..#...###############..####.........#.#.##...#########.##...###.###..##.###.#.##.#....####....##.#.####......#.###.....#.#####.##.##...##.##..####.......#...#.#.#.###......##...#......#.#..#..#####...###....#.......###...#.#.####.#....#....##.##...#
#####...##.###.#####.#..........#####.###.#.....##.......###.##..##.##.#.....#####.##...##.#...#.#.#######.##...#...##........##..##.#.#..##.###.##...##.##.####......##.....##.#..#########......#..##..##.#..##.##....#..###.#.#.#.##...##..#.#.##..###....#.######.....##.#####..#.##..##.##...#.##.####.#.#######.........########.##.######...###.....######..#.##.#.################.######.#.####.....#.#
######.###.#...#.#...#####.####.###...#...###.########.#.....##.##..##.####.##.#.#.###.###.#.###...##.##....###.###.##.######....###.#.#.##...##..##.##...#......#######.##.##..##.##...##.#.#.#.###..##....##..#..##.###.##.###.#.#..###..#.##....#####..#######..###.#######.#.##...##.###.#..#........#######.##.#.######.###.##.##.#.....##..############.#.#########...##.......#.#......#####....##.#.##.#
##.#.###...###...#.####..#####....##.####......#.#..#####.##.#...##......##.##.........##..#.#.##.##..####.##.#.#........#..#.####.#.#.#.##.####.########...##.#.##.......#####..#....###....#.###.#####.#.####.#.##...##.....##.#...##.#.#####.######.######.#.#.##.#.#.##.##.#.#..###........####.######.#.#...#......#..###.......#.#.#####..###.#.###...#..........##.#....#######...####....###.######..#.#
#..#.##########.##..##..##...###.#####..######.#.##..#######...########.##..####.####.####...#.##.###.#.#...#.#.###.#.##...##...##.#.#.#.##.#.#....##.##..#..#####..#########.##.#.##.....#.####....###..####........#..#.#####....###......##.......#..##..#.#.#.##.#......##.#...##.##.#######.#####...#.....#...#.##.#.####.#.#.#.#.#.#...#.##.#.......#...#.##.#.###..#########.##.###########.###.#..######
##.#....##.......##.##.#####.#...##.###..#.##.......##.#.#...########...#..##.####.##.#.#..#.#.##.#.....##.##....##.#.##.###..###..#.#.#.##.....#####.#..###.......##.##..#.#.##.#..##.####...###.###.#.##..###.######.##...######...##.#####..#######.##..##......#.#.######....#.#..#..#.#.#.....#...#...##.###########....#.#####.......###.##...#.#.####.##..#.#...##.#####..............#.#.#..#..#.####.##
##.####..######.##..##..#.#....#..#..###....##.###.##..#.###.###.##.###.##....#.##.#..#.####.#.#..####.##...####.##.####...##...##.#...#....#####.##....#######.####.....##.#.##...#########.##.#.###....##.##.......#....#...###..####.....##.##.#.#.....###.####.#.#.#.#..##.###.##.##.......#.#...####.##........##.##.##......###.#.##.##.....###.#....#..#.######..#.......##.#.#########.....##.##..#....#
#...#...##.##.#.##.##..##.####.##...##.####....##...##.#.....#.#.##........####..#.##.#.###....#.##.....#.###.##.....#.###..######.###...######....##.#...#..####....#.#.#.......###..##...#.#..#.#.##.###..###.########.######.##.#.#..###..#........#.###.....####.#.....##...####.....##.######.####.#####.#######......###.##..##.####....#.#################.#.##.##.##########..#.###.#..#.#.##....##.####
#.#...#.............##....#..#.####.##.##.#.#.#####.##.#####.#.#.#####.#.#....##...#....#.####.#.###.##...###.####.###.#######.##..##..#........##.####.###.##.#..#.######.#####...##..#.#####.##.#.##..###.#.#........###.##.#.##...##.#.####.###.#######..#####.#....#.######..##..##.###.....##.........##.........#.##...#.#####.....##.#.#..#..#####..###.......###........#.###.........#######.##.......#
####.###.#####.#.##..####...####............#.##.................#.#.######.######.####.#.##......######.##.#.#.#......#..###..##.##..##############.#.......#...####...##.#.#.#.###..##...###.##......##...#.#.##########.......###.##....##...######.#.#.##...#.#.#######.##..####..####..#####..#.###########.###.####..#.###.#.###.#..#.#.##...##.#.#.##.#.#####...##.###.#.....##.#.####...###.#..#.#.#.###
#....#.#####.#.#.###..#.###..##..#.########.#..####.#######.#.##......#.....#.##.#.##.....#####.###.##...##.#.#...##.###.##.##..#..##.#..###...##.#....#.#####.###.####.#......###.##....###....#.#########.....##.....#.####.####.#.##.##..#.###.##.#.#.#.##.###.#.....##.....###.#.###.##.#.#.######....#.####.###########.##......#.######..#.#........#........#.###....###.###..#.#....#.#..#....######...#
#.####.##......#..###.......##..#######.#####.##....#..######.#######.#####.#.##.#.######.#.##..##..####.##.#...#..###.#.....##...##....##...###....##.#.###........##....####..##.#..####...####.#.##..##..###....#.###..##...##....##.###........#.#.#.#.##..##.#.##########...#.#.....##..........##.###....#......#...##....#.#.######.##.##.#.#.##.#...########...#.#.######.##.#.##.######...##...#.##.#.#
###.##.###.#.###.##...#.#.#....####.......###.##.##.##.....##.#.....#..#....#.##.#..####....###.##.##.#..#..#.###.####.#.########.##.##....####..#.#####.....#####.##..##....##..#...##.##.###..#....#.###.#####.#####.##..##.#####.###...#.##.#####.#......##.............##..#.#.#.#######.###.#.#....#...##.###.##.#.####.#.####.........######.#..#.###...####.#.#.#.#.#..###.##########.#.##.##..#....#.#.#
#..........#.#....##.#######.#.#.#..##.##...############.#..#######.##.##.#........##..#.##..##..#.##.##.##.#.#.####.#....#.##.##..#..#######.##.#....##.##.##.#.###..####.#.#####.###...#..###.#.####.....##.######....##..#..##.......#.#.#........#.#######.##############.##.#.#...#..########.##.#...######....#...##.#####.#######.#####.###.#.##..##.#......#######...##.#.........#.....#..#.###.#####.#
###############.#.####.#.#.#####.##..###..####..#.###.#####..##.###.......##.#.#.#..#.####..####.#.##.#..#.......##....##.#.##..##.#.###......##.############......##.#..###....##.#...#.#.##.#.#..#.#.###....#....##.#####...####.###.##.####.#.###....###......##..#..##.....#.....###.##.#..###.##.#.#......##.#.#.#...........##.###.........#####..##..##.#.#..#.#.###.##....#########.########..##....##.#
#######.##......###........#####..#####..##..##...#.#.#.#.##.#....#####.###########....##..##....#.#..##.####.######.######.###.##.#.#...######...#.#.#.#...##.#####....##########.#.#####..#.....##.#...#.####.####...#.#..###.#..########....####..##.....#.#.###.##.##..#####.#.#..........##.####.########..#.#.#.##.###.####......#.###.#.#...########..#.####.....#.######.###..##.##.##.....#.###.#.##..#
#.......#..#.######.######.#.#.##.###.##..#.#####............##.#....#####..#.#..#####.###.#####.#.#.###..###.#.##.#....##...##.#......#...#..###.....#.#.###..###.#.##.....##.##..#.##.##.##.#####..#.#####.##..###.###.#.##.#.#.##....###.##....##..##.######......#..##....##.#.#.##.###.#.....##......#.#######.#.##...#....#.#.##############...#.#.###.#...##.#.###....##..#.#.##......#.#######.#.#..####
#######.####.#....####.....#.#.##.#.#.###...#...##.########.########.#.#.##.#...##.#....##..##.........#.##..........#.##..####...#.#.###.##.##.#.##.##.#...##.#......#######..##.##..#.##.....#.##.##.#.##..##.##.#.#.#.#.........##.###.##############.###..#.#.##...##..##.##.#.#..#...#.###.#..########.#.....###.##.###.##.###..............#.#.......####.########..#####.##.#.##.######..##..##.#########
##.#.......######.##.#####................#.#.############..##.#..##.#.#.#..###....###.####.######.###....##.#########..##.##.##.####..####.......#####.#.###....##.#..##.#.#.##..##.##....#####.##.#.......###.##.#...#.#.######.##.......#....#.#..##......####.#..#....#####..#.#.#############..##...##...######...#...#..#..##.#.#.##################...##....#.#...###.#...#.......##..#.##..###..#.##...#
#..######.##.........###...#.#.#.#.#.######.#..##.#......##.##.##.#......##..#####.....#.#...##.#####..#####....##.#.####.....##.#.###..####.######.#.#.#..#..#.######.........##.#..##.##...#...##...#.######..##.#.###...##########.######.####.#.##..#.##....####.####.....######.....#.#...#.##....###..#...##.###.###########..###.#####..#.##....########.####...####....#...#####..#.##.#..##.#.##..#.###
##.###.#...#########.#...#.############.......##..######....##.##.######.###.#.#.#####.#.##.##..#.#.#.###..#.####..#..#.#.######....###.#.##.###.#..#.#.#.##.##....#.#######.###....##...###...#....###...##.##.##.......#.......####.##.#.#.........#.##.#..##..##.....##.####.#.##.#####.#.###.#########.####.....##...........##..##.....##.#.#..#.##......####.##.####..####.#....###.#......###....##....##
#..#...###.##.##.#.#...######.##......#####.#....##.##.####.##.....#.#.#..##.................#.##.#.#.#.##.#...##.##.##.#.###....####.###.##.#.#...##.#.#.#...#.##.....###.#######.####.##########.##.#####........#.#.#######.#..##.........##.####.#.#..##.##.####.####..##.#....######...........##.#.#...###.#######.#.##################......##....##.#####...#.#..##....####.###.###.######.#.##..#.##..#
##.##.##.#.##.##.#.##.######...#.#.##....#######.............#####.#.....######.############.#..#.#.#.#.#....####....##.#.#.####.......##..#.#...###........#######.#.##.#..#..##....##......########.......###.#.##.#..#..########..####.###############..#.##....#....##......#.##......#######.###..#.#.###.####...########......##.#......#.##..#########.#.#.###...###.#########.#.##............##...###.#
#..#.......#...#.#.#####.#.###.#########.........##########.##.#...#####...##.########.#.....#.##.#.....##.#.#..#.#####...#.#.#..#####..#.##...#.#.#.######...###.######.#.##.##..######.##.##.#.##.#.#########.#######...##.##.#.##.#..#....#.##......########.#.##.######.#.###..##.###.......###.##..........#.#.###.#.##...######..#.##########........##......##.####....#..#.##.#.##.#####.##.########.###
##.#######.###...#..###........##.#.#.#..##########....#....##.###..##...###...##......#.###......####.###.###.##...##..#.#.#...####.####....#####.#......#.#...#..#.##..#.##.###.##.##..#####.#..........#...#......##.#..#..#......#.#######....######.#....#####....#.####...####..######.##...#.#..######.#.#..........##.##..#.##.#.#.##.###.#######.##..######..#..#.####.##......#...#.####...#........##
#...##.##..#.###...##.###.####....#.#.##.#.#..#.#.##.#.####.##.#.##.####.....#########.###.###.####.#....#..#.....###..##.#.#.####.....###.###.##....#.#.##.##.##.##..##....#..##.#.....##.##....##.##.####.###.############.##.###.##.#.#.##..##..##.#....####...###.##.#.#######.##......########.#.#####.#####.##########...#.##.#......##......#...######.##.##..##.##.##.#....#.####.#...#.####...#.##.#..#
#.#..#.###.....###.....##.#..####...#.####.##.#...####.................#####.#.#.#...#..#..##....##...##.##...#####.##.####....#...#####.#........#.#############....##..####.##....######..##.###...######.######.##.##.##.....#.####......#.####.##...##....##.##.####.#...##.....#.########.##............#.#........##.##.##......####....#.####.###..#.#.....##.##.##..#...#.####..#.###....####.##.#####.#
#.##.......#.#..##.##.##..#.##.####.#.#.#.....###..##..#####.##.#.#.########.#.#.###.##.##.#..######.##...#.###.###..#..##..####.#####.#...########...#.#...#.#.#.######.#.#...####.#.##.#.##..#########..............##....###....#.#.##.###...#####.#..#.#.##...#.##...#.####.#####...#.#.......##.#.###.#.....########.....#..##.#...##.#.##....#..#..##...###..........##.###..##..##.####.#.#..######..####
#..##.#.##.####.##.##..####.#.............###.#...#################..##......#.#.##...#.##.##.....#######.........##.#.####...#..#.#.#.#.###.#.######.....###.#.....##.......####.#.#.......##.#.#.##....##.############.#########......#.....###.#.#.####.######.#.#..###.#..........###...##.#####.#...###.######....##.##.##.####################.##.##..######.##.#######.####..##.##....#####.#######.##.##
#.#####..####.#.#...####.#..####.##.#.##.##.....#...##.....##.##.###.#######.#...####...#.....#####.#...###.#######..#..#.#.###.##...#.#..........#####.#.......##########.###..#.#.#.#######.........##..#....####.##......#.#####.##.##.##.###.......#.#####..#...#.##.#.#.######.#.....########.###.#..########..##.....####.##.#.#.#.##.#.####.......##...#.#####....##.#...#####.....#######...#.##.#.....#
####.#..###.#...###..#.#.##......#..#########.#.##.#######.##.##.....#.#.#...###.#.####.#####.#.##..##.####.#.#.#.##.#.##.#..##..###.#...####.###.....###.##.####.#.##.#.#.....##.....#.#.....####.##..##.######.....###.####.#...#.########...#.##.#.##..##.##...###.##..........#.#.#.#.##.........####..........###.#.####.#..#.#........#....#.#####.##.###.#.#.#.##......#...##..#####..#.#..#....#.#.#####
###....###....#..#..##.#.###.#.#.##.#..###.######....#####.#.....###.#.#.###...#....###.#.#.#....##.#..##...#.....##.#.#....##..###....#.#..###.###########..###.....#.#.#.######.###...#.##################.#.#.#####.#.#.#....#.#....#.#.###....######.##.....#.#...#..#.##.#.#########....#.#.#######..####.#.###.#######..#.##.#.########.####....#####..##.....###############..##.#.#.##.#.###.###.......#
#.######...##.##.##.##.#..##.###.#..##.#.#.#..####.###...#.####.###....#..####.###.##.#.#.#.#.####....#####...#####......####..###..######.###...##...#...####.#.#####.#.#.#.......##.#.....###....#.##.###.........##.#...#.######.##......###.###..##...##.##.#.#.###.##########..##.#########.......##..#########..#.#..##....#...###.##......#.####.#...###.######.##.####.#.###.##...#.##.#.#.#####.#######
#.##.##..#.####..........#########.##....#.#.##.#..#.###.#.###..##..##.#.##.#...##.##.....#......####..######...#...####....##.#.##...#.##.#.#.###..###.###.##....#.#........##.#.##..#.#.###.#.####....#.#.#######..#.#.###......#..#.##.#...#...##....####..#####...#.#.##.#.#.#.##.........####.#########..#....##...##..#.####.###.#.#..######.#.##.#.###.#.#.##.#..................#...........##.#.#.#...#
#.....######.#########.###.###..########......#.##.#.#.#.#.#.######.#....##.##.##..######.###.####..##..#.#...###.###..#.####.....#.###.#.......#..##.....#.#####.#.###.##.#..#.#####.###........#.#.####.........##.........###.########.##.##.#.##.##.##.##..#.#..#............#.#..#.##.##....#.....#.#.##.#.#.####.##..##..............##.##.#...##...........##.#.#########.############.#####..#.#.....###
#.#.#...#.#..#.##.#........#.##.#.#.#....#.##....#.#.#.#.#.....##.####.#....#...##..##....#.#...###.##.##.###..##.....#########.###.#.#.#.#####...#####.###.#.#......#...####.#.....######.#.#.#......#####.###.###..##.#.##.#.###.#.##.#######.#.##.####..###.#.#.###.#.###.#####.#.#####.#######.#.#........#.###.#...##.#..##.#.##.####.....#.#.####.######.####.....#.##..##.......#.######.######...#.#####
#.#####.#.##.#....#####.####..#.#.#.########..##.......#.###.#......#######.###.###.#####...#.###.........#.##..#.#######...##..............###.#...##....#...###.####.#....#.##.#.####..###.###.##.#...##....#########.#..#....##...#...#....#.####..####.#.#......####..##..........##.###.#.#.######.##.##....##.#.###....#######....##.#.#......#.#......####...#.###....##..#.#.#.......#.........#.#.##..#
#.##.........####.#.##...####..............##.#..#.#.#....####.###.##.#.#.......#.#.#.##..#....#####.#.#.##..##......#.#..#.#..######.#.##.##.#####....####.####...##..#.#########.##.##..##...######.#..#.######.#...###.###.#..###.#.###.#######.#.##.##.....#.##....#.##..#.#.#.##.....##......#..##.####..##....#.##..####.....##.#.##.#####.##.#...#######...#######.######.#.####.######.#########.###..##
#####.#.####..##.....###...######.#######.########.####.#..###.#......#.#.#####...#.#.###.##.#..##.#.######.##..#.#.##...#####.#.########......#.#######.##.#.#..#....######.##.##.......#####.....#####.....##.....########..#.##.........####..#.#.##....#.#.#..#.##############.##.######.######.##.....##..#.##.#.##.###.#.########.##.##.####....#.........#.....#........#.####..............########..###
###.#.####.#.#####.#..###.##.#..###........#.#.##..##.####...########.#.####..###...#.#.#######.##.#.##.#.#.#..##.#....#..##...#........##.#.#...#.......##.#.#.##########......######.###..##.#.#...#.###.#..##.####.#.##.#.#######.###.#....##...#.###.#####.#.##.....#.###.#.####.......#........####.#..#.##.####.##.........##.######.......##.#.#.####.#.########.####.###....#.#.##.##.####.....##.#.##.#
#...####......##.####......#.##..####.#.##...#..##.#.......#..####.#..#..#.##.....#......##.##...#.#.#..#.#.##..###.##.#.#####...#.#.#########.#...########.....#.####.#.##.#####...##.....##..#.#.#....##.##..#......#....#..##.#.#.######.#..###.#........########.####........#####.#####.####.###.##########.#.##.##.####.####.......##.##.#.##.###..#######.#.##.#...##...########.##.##....#.#.###....#..#
###..##..####..#.##.#.####.#.##.##..########.##.#########.###..#...##.##.#.#####.#######.##..###.......##.#.##.############.#..###.#...##.#.####.#..........#.#...#...............#..#.#.#.###.#.#.##.#.##..##...##.#...########.#........######...#.###.####.#.#.####.##.########.#.###..#....####.#....###.#.###..#.#.....#...##.#############.#...##.##.##.#....##...#.##.#####.#.#####.##.#.##.#.#.#.####.##
#.##....######....#.###.......#.#..###.#.#.#.##.#.#.#...######.###..........######.#.#.#.###.#####.#.###..#....#...##.#.#.#.#.#######.###....#####.#.#.#.#.######...####.##.#####.#.##.#.#..####.######.###.##.########.....##.#.#.#########.#.###.#.#####..#.#.#...##......#............##.####.##.#.####.....##..##.#.#######.....##........####.#..#.........##....######...#.........#########.#...#.......#
#..######......##....########.#.#.##.#.#.#......#...###.##.#.#..##########.##................#.###.#...##.##.###.####..............##.#.#.##....######.#####.#.#######.#######.####.#######....#####......#.##..####.######............#.#.#.#.#.........#.##.....#..#.######.########.#.................##.######........#######.#....#.#.##...##.##.#.##.#.#.###.##......#####.##.#######.###..###.#...#####.#
##.##.....##.#..##.#.#........#.#.#..#...######.#.####..##.....##.#.........################.#.#.###.###..#.......#...#.#.##.###.###.......####.....##...................#.#.....####.#..#####..##.########..##..##....###..##.#.#.#.###.....#.##.########.###.##.##................##.#.#.###############..###.#..#.#.####.#...############..################...#.##.####..##.#..###.##.#....##..##.#.#..######
##.######..#########.########.#.#.##.###.#.#.......#.##.######.#....#.#####.#.#.#..##.##.#.....#.##....##...#.#.#...###.###...########.#.#....##.##.##.#####.#.######.##.#.#.###..##....##.#######..#.....##.###.##.####.####..#.######..#####.#..#......#.#....#..#.####.#.#.################.###.##.#.##.##.#.##.###........#######.#.#.##.##...##.####.#.############.####..#.###.......####..##..#.##....###
#...#.#######.#..###.##.#.##.............#.#######....#.#......##.#.#.#.......#.##.##.##...##.##.##.####..#.#.#.#.###.....#.#.......##.######.########.....###......#..#.......##....####.....##.#.##.########.###........######...##.#.##..##.#.##.####.....##.###############.#####.#.#...........................##.########.#.#........####.####..#.#.#.......##.#....#.##.......#.#####..##..#######.##.#.#
#.#...#..#......##.#.#.......#.###.###.#.....##.#####.#.######....#.#.#######...#...#.####.#..#..##..#.##.###.#.#...###.######.##.####......#.....###..###..##.#.#.##.##.#.#.#########....#.#..#.#..#...#.#.#..##..#.####...#..######....##.##.#.......#.##.##....#.#....##..##.........#.#####.#.##.#.#.#.#.##.##.###......#.#.....##.#.#..##...#.#.##.#...##.##......##....#.##########..##.##.##.#.#.######.#
#####.##.######.#......#.###########.#######.#.....#....#.##.####.#.###.....###.#.#...#.#####...##..##.....##.###.####....##.####.#..###.#.###.##...##...##..#.#.#######.#.#.###.###...#########...##.###.#.#.##..##....#.#...###.#.#.#####.##.#.##.#.##..#..######...##..##..#.#######.....###################.##...####.#.#.#.###..######..#.###........####..#.#.##########.#.###.###..##.............#..#..#
#..##.#...........###.#####.#.##......#.###....###.#.##...........####..#.#.......###.#.#.#.##.####.##.##########..#.######.....###.########.######..###.#####.#..##...#.#.#...#.#...#####.#.###.###..........#..#####.####.#.......#.#.#.#.......#####..##.##......#####..##........######....#.#..#.#.......###..#.##.#####...####..#.#.####.....#.##.#....#########...#.##......#.#...##..###.##.#.####.##.##
##..#.####.###.##.#...#..........####.......#.##...#####.########.##...##.##.######.......#.##.##.#..#..###.....####.#..##..#.####.........#.##.######......#####....#.###.#.#...#.#####.#.#.#.#.....#.##.#.#...##.##....##.##.##.#.........#####.....##..#....##.#...#.##....#.#.#.##...#######.#.##...############.....#.#..#....##.....####.#####..#.##.#.....#.#.#.###....##.###.#.####.##.######..........#
###.....####.####.##.#####.##.##.#....############.########....##########.##########.##.#...#.....##.#.##.#.###...#....####.#......#.#.###......#...####.####.#.###.##...#.#.#.#.........#.#...#.##.#######.##.###.###.#######..#.#.#.#.#.#.....#.#.#..#.###.###..#.#....#.#.#########.#......#.......#.##...#..#####.#.##...###.#####.##......#...####.##########.........##.##...................##.#.##.#.###
#.#####.#.#.......##.##.####..#####.#.##.............##.#.###.##.#...##.###.#......#.#..###...###......#.....######.#####.#.##########...########.###.##..##......#..##.##.#.#.##.########.#.###..#......##.##.#.#.#.#####.#.####.#.#.#.###.###.#.#.#.##...#...####.#.#.####.#.#.#.#.#.######...#.#.###....#...##...###.##.#.#.#.##....##.#.#.##.######......##.##.##.##.#..#####.#####.###############..#.#...#
#..#........##.##.#..#.......##.....###..#######.###.#........#..###.##..#....####...##########.##.###...#.#....##..#.#.#....#......##.#####...........##....#.##.##..#..#.#.#.##................###.##.###..#........##.#.#.##################.#.###..##.###.##.####.#...##...#.#.#....#.#.###.#.#...##.#.###....#..##....#.#.#..##.#..#.#.#....#.#..###.#####....###########.##.....#######.##.##..###.###.###
##...##.#.#.################.###.#.##...######...#.....######.#.###...##.########..#.#.....###...#.###.#####.#####.##.#.#.##...#.#.##..#.#.#.###############################.#..##.###########.###.####...#.##.#.#.#####.........#.#.#.##.##..###.###.##....#.......#.##.#######.....##.......###.#.###..#...##.#.####..#.##...##..###.####.####.....####...#.#.##........#.#..##.#.###.............##.####....#
###.###.#.###....#.#.........#...#.#..###......#####.#.##.....#.#.##.###.###......########.....#.....#....####..#..........##.########................#.##.##..#....##.#..##.#.##............#........#.#############.#..#.#.##.##.#.........####.#.#..#.##.#.##.##.###..##......##.#######.##########..###.#####...##.#######..##...#..######...#####..#.#.....##.########.#.##########.###.#.#.##.......####.#
#...#...#.##..##...#.##.##.#.###.####.#...##.#.#.....#.#..#.#......#.#.#.#.##.#.###.#.#....##.####.#.#.####.###...#.#.##.#..#.......##.####.####.#.##.........##.####....#######..#.#####.##.#.#.#.#########....#.##....##.###.......#.#.#.#....#...####.##.#..#.##...##....#.##.##.......#..##.##.##..##.......#.#.##.......##..##.###...##.###.......####.###..#....#.........##.##.#....#####.###.######..#.#
#.#.###.#.#..##..#...#...#.#.#...#....###.#..#######.####.#.##.#.#.........######.....######..#....#.#.......##.##########.#####.####.....#...##.###..#.#.#.#....#.##.####..##...##...#.############..###.#..##.#.#..#.#########.#.###.#.#.###.##.#....#.##.#.####..#.#..##.#.##.##.##.#.###........##.####.#.########.##############.#####..#####.#.#..###..##.###.#...#####.#.........##....####.#.###.#..####
#.#.###.#.#.########.##.######.#.##.#.#...##.#.........#############.#.##.##.#.#..#.#..#.....###.#.#.##.####.....#.......#...###############.##....##.########.#......###..###.#.#..#........###.....##.#.#.#####.#.####......#######..#########..#.#########...#####.##.#########...#.#######.###.###...##.#........#...#####........##....##...#.#.##...#####...#.#.#.....###.#####.#####.###.##.###.....##.##
#.###...#.####.......#...##....########.#.##.###########...#.####....###.......#######.#######.###.#.##.#..#.#.###.###########..#....###.#.#####.#..#........#.#.####.....##.######.#.##.#.###.##.##..#...#.##.#......#..#.#.##.#.#.########.####.#...###.#####..#..####.....#.#######....#.##...#.#.#####..#.#.########.......#.##.#....##..#.##########.###.#####.#.###.#...######......#####.##.##..#.#.....#
###...######.##.###.###.##########.#.##########.######.###.#.#.#..##.#########.#.#.#........#......###....####......#.#.#.#.##.##.####.#.......#########.#####.#....##.####...##....#..#.#.........####.###....##.###...####....#.#..###.#.....######..#......##...##....#.###.#.#.#.####....#.###.....#.##.#.#.......##.##.#.#####.########....######.##.......###############....####.#####.#.......####.##.##
#########.....####...####..##............##......................#####..#............##.#.#...####.####.#....#.####.............#........#.###...##..#.##########.#########.#######.#.##.##.###.##..#.......##.##...#.###.####.##...##.#.#.#.#..######...####..#.#.#####.#.............#####.#####.#####.#######.#.#.##...#####.#.#####.#.###.#..#.#.#.#######.##.##.##.##.##.###.#####.........##.##..######..#
#.##..#.##.##.##.#.###.###..#######.#.##..##########.##.#.#####.##.####.###.#.##.##.##..#######.......#.#.##.#....#.#########.#...#.##.#####.#####..##........#.#..............##...#..#.##...#######.###########.###.###..#####..###......#.##...#..#####..#.####....##.#.####.#.##.###...#.....#.........#.#.#############..#....##.....#.######..........##.......##.#......##.....##.#.##.#..#..##....##..##
#..#.##.####.......#.#...##.##.##...#.###...#........#..#.#######.....#...###.##.#...##.##.######.#.#.###..#.#.##.#....##...####.####.........##.##....####.#...#.##.####.##.######.#.##.##.####.##...#.#.#.#.#.#.#####.#.##..#..##.#.###.#########.##..#..##....##.####.#...##.#..#.....#.##.#.##.##.#.##........#.#.#......##.####..###.#....##..#.######..####.##..#...##.#....##.########.#########.###..###
##...##.#.#..###.#.#...#..#.......#####...#...#.###.#######....#..###.#.#####.##.##.###.#.........###.##..##.#..#.##.#....#..##################.....##..#####.#.#.##...########.#.#########.##.#.#..#...............##.....#.##.###.#.#####.#.###....##...######..#....#.##.##..#.##.#.#.######.##..#.#.##.#.#.####.#...#######..##..##.###.##....##......##....#####...#..#.##.######.###..####.####.###.##...#
#..#........#############.##.#.#.##.....#.##.####...##.#.###.#...##.......#.#.##.#..##..###.##.##..##..##..#.#######.#.#.###..#.#.#.#.#.##..#.##.########...#.#.#..##.##.#.##.#....#.#.##.#.#....#.######.###.##.#.##..#.#......#...#.....#.#.....####..#.#.##############...##.#.##.######..#####.######..###...##...#....##...##..###..##.#########.##.#########.###.##.##..#..#.......##.........#..##.###.##
##.###.#.##.#...#.#...#...##########.#.#####..#####.#....#.####.###.#.#.#.....##.#########...###..##..##..##.......#.#.#...##...#.#........##.............########.##.#.......#.##.....##.#####.##.#.#.##...#..#.#....##.#.##.#...#...#####...#######..##.......#....##..##.##..#.##..#.....##.#.#.....###...#.####.##########.####.#.##..#...#############..#......##..#.#..###...##.##..##.########.###.#.####
#....###.#..#.#.....#...#...##..#.######.....##.....####.#.##.####..######.##.#####...##.######..####..##..##.####.###.#####..#.#...######....#.#.#.####.###.#.#.####...#.#.#....#.#.#..#..##...##.#....###########.#..#.#.####.###.#.......#.........####.#.##...####..###.#####..##...#.#......#####...########.#....##.###...##.....#.##.###...##.#.##.#.##.####.##.#####..##.#..#.#..###............#....#.#
###.##...##.####.##.###.###.###...#.#.#####.####.#####.#.#.......#####.....##..##.###...........##.######.###.####...#...##..##...####..##.#.##.###..#####...#.#....##.##.###.####.####.#.###.###....#####.####.#.#.########......#####.##.##.#.#.##.##.############.##.#.#..#########.##.#################..##.....#.###..#..###..#.#..........#..#.............#######..##.###.#.#######.#.############.####.#
#...###.##..##.#.##.#...###.#.###.#....##.###..###.##......#####.####..#.#..####..###.##.#.#.#.##..#.###....#....#.###.#####.##.#..#.#.#####..#...##....##.###.#.#####.##.##....##..##......#.#.#.#####.#...#.#...#..##.#..##.#.#.....#..########..###....#.#.####........##....###..###..............###.##.####.#####.#.##.##.##.######.##########.###.#########.##....##..#.#####.##.#.....#..#.####........#
#####.#..##.#.....#######...#.##..###.##....##..##.#..####.##.........##.#.##..##.....##.#.#.#..##.......##.##.#.#..##....##..#.##.....#.###.###.##..##..............########.#########.#.#...............#.....#.##......##..#.#.#.###.###.##.###.######..........#.#.######.#.....################.##.#.##..##..#.###...#......#.##...#.............##..............########....##.##...###...##....##.#######
#.......######.####..#....#.#.###...#.####.####......###...##########.##.#####....#.#.##.#.###.#######.#..#..###.##.####.####.#####.#.##.#.###.#####.##.#.##.#.#.###.....#.#......##.#..#.#.#.#.##.##.###.##.####..#.###.####.#.#.#..##.........##...#.##.####.#.#.#.#......#.#.#.#....#.#.....########......####.#.#.###.#.######....#.##.#####.##.#..#.#.##.##.#.####.##..#..#.##...##.###..####.####...#.#.##
#####.####.#.####.##.######....####.........##..###.##...###.##.#.#...#..##....####.#..#####....#.#....#.##.###..##.#.##.##.....##..#.......#...#..#.##.####.#.#..##.#.#...##.#.#....##.#.#.#.###...#...####....##.#...#....#.###.##.###############.........#######.#.##.#####.#.#.##.....#####...##...##.#..##....#.##......#....#.####....#.#######.#.#.#######.#.....##...#######.##...#.###.#.#.#..###.#..#
#...#####..#..#.............#.##....#.##.##....##...#..####.........#.#.##..#####...#.##.....##...#.##.#.##...#.##.....#..##.#.####.#.##.##...#...#####.##.########..###.######.##.#..###.#.#...##.##.#....##.######.#.#.##.#...####.........####.####.##.#####....#.#..#....####.#.##.#.#..##.#.######.#######..####.##.####...######.#####......##########.#..##.#.###....####..##.....#####.......#.###..#.##
###.##..##.##.######.#.####.#.#..##.###..#..#.#####.##.#....###.###.#.#####.#.....#.#..###.#.##.#.#.#..###..#.#.##.#.####..#####.#..#..#..#.#######.##......#.#...##...#.....##..######...#.#.#..######.####.......#.###..###.#..##..#.#.#.#.........#..####....#######.#.#.##.##.#..#####.###....##.....##.###.##.##.......###...#.##.....##.#.###.#.###.##...#####...#######.##.##.###.#.##..###.###...##....#
#...###.......#.#..#.#.#....#...##...######.###.....#..###.######...#.##....#####.#.#.##...#.##.#.#.##...##.#.####.#....##.......##.#.###.#..........##.#.#.....#..###.##.#.####......###.###.#####..##...###.######...##..####.###.##.######.#.#.########.##.###.#.#.###.#.##..#######.##.....#######.###..#.#.......###########.#.##.########........#.....#....##.###........#.######....##.###.###.####.####
###...##.##.#...##.###########.####.##......##..##.###.#...#......#.###..#.###....#.###..#.####.#.#..#.#..###....###.########.#####.#...#.##.#.##.####..#.##.#####...######...####.##.#....##.......##..#..##..###########.#.####....#..#...#####...#.##.#.............##.#####....##....#.##.##..#.##..##.##.#.###.#....#......#.............##.#####...#####.#.##..#.##.##.##....##..#.##.#....###.#.#.#..####
#...#########.#.##..#.#.####...#.....####.#..##.#..##..######.###.#.##..##...##.#.#...##.###....###.##.##..##.#.####........#.....###.##############.####.##...########.###.#....###..##.####.#.#.###..#######.....####.####.#.###.#.##...#######.#.#......########.#.######.#..#####.##########.##....##.........#.#.##...####.#.##.#.##.#.####.....###....########.......###########...####.######.#.#.##....#
#.#...#.##.#..#....##.#......#.#.##.###...#.######.#..##.##...##..#.###.###.#####.###..#######.###..##..#.##..###....#.#.#.####.#####.....#..##.........###..#..#.........####.#...##.##.##...#.#...##....#.####.#......#.##....##.#.##.#.....#.#####.######......######.#...#.##..#......##.#.#.##.#.###.###########..##.##.##.#.##.######....##.######.##...#.##.#.###.#..#........#.#...##..#.#.#...#.##.####
#####.#.##.##.#.##......####.#.#.#####..#.###.##########....#..##.#..####.###..#...######........##..#.##..##.####.#.#.###....#.....##.##...##..#.##.#####..###...##########.###.####.#...#.#.#.#.#.###.#......###.######....##..#.#.##.#.###......##.##.....#.#.###.##..###.#..##.#.#######.#.#.##.###.............#.##......###..#....#####.##..###..#.##.###......########.##.#.#####.####.##.#.##.##.#....##
###.........#.####.#.#.##....###...#.#.######.#.##...#.####.#######.##.##.####...#...##...##.#.#.##.##.##.#####....###...#.#.###.##..#..#.#....##..#...#.####.#.#.............##.##.####.####.#.#.###.#.#.#.######.##.#...#.###.######..#..####.##.......##.######.#..##.##....###.#.....#.#.#.#.#...#..#.###.#.#.#####..#.#.########.#...#######.....#####.....##.#...##.##...#####.##........#...##.#..#.##..#
#.####.####....##..#.#..##.#.#...###.###.##.#...####.#.#....#.......#...#...##.###.###..#.#..#.#.##.##.##...##..##..##.########...#.#######.#####.##.#.....#..#########.##.##..#..#.##.#....#.###..##.#.###......#.#....###...#....####.##...##.###.##.######.#.##.#.##..##.#####....#.#...........#...##...########.##.##.####...#.#.###.#.##.###.#.###..#.#.###..#.#..#....#..#.#..##.#.##.###.###....##.#####
#......#....#.####.###.##..#####..##..#.....###....#.#.################.##.##..#....#####.##.#.#..#.##.##.#.###.##.##.........##.##......##...##...#.#.##.##.###.##...#..###..###....#.###.##...##....#...###.##.###.##...##.#######.##.#..###...####....#.......#.#..##.##.#.#.#.########.#####.#.##.###.#..#.#.#....#.##....#.###.#######......#####.##.###...#.####.##.#.###.....##..######.#.##..####......#
####.#.###.##...####...##.##.....####...###.######......##............#.#.....###.#.....####.#.#.##.##.##.###...#...#.##.#######.##.#.#.##..#..#######.##...........####...##...#.##.....#.#..#.#..#.########..#.###.###########......#.##..##.#...##.##...#######.#.##..............##..#.....#.####...#.##.......#.##..##.#...#...###..##.#######.##.#...#########......#...#.##.####...........#.####..#.#.##
#..#######.##.###....#.##.#..#.#.##...#.#..........##.#....##.##.##.#.....###.##..##.##.#....#.#.##.##.####...#.#.#####......#.######.#.##.###...##.#####.#.#.#####....#.####.#####..#.###.#.##.##.#....##....##............###..##.###..##..###.###...#.#...###.#.#.#..##.#.###.###....###.#.##....#.###.##.##.#.####..##..##.##.###.#.###.#.##....#....###.....#.####.#.########..##..#########....#.#.####..#
##..#.##...#....######.##.#.########.####.##.##.#####.##.##############.####..###..#########.#.#..#.#...#####.#.#...##..#.##.......##.#.##...#.#........#.###.....#.#.##..#.####.###.#...#####..#..######..#.####.##.#.#.##..#..###.########...#...##.##.#.#.....#.#.#.########....#.#.###..#..#.#.##..##.##..#.#.#.###..##.##.....#...........#.####.##.....#.###..#####...##.#.##..##.###...######........#.##
#..##....#.#.#.##.......#####..##.#########..#..#.....#..###.#.###.##...##.#.##...###..##....####.#.###....##.#.#.#.###.#..##.#.############.####.#########...#############..#....##.##.###.######....######..##..############.##.#.....##.#####.####.##.###.#.#........#.....#.########.##.#.##.#..##.##.##.####....##.######.##.##.#.#.##.##.........#.#.#####.##...##..###..#.#####......#......#.##.#####..#
##.#######.###..##.#.#.###.##.##....#.#.###.###.#.#.#.#.##............#.##...###.##...####.#....######..##.##.#.#.#..##.#.##..#.........#.#####.#.######.####...#..#.#.##...##.###########...###...##...#.###..##......##.###...#.##.#.##...##.#####...#...###.#.#.####...#####...........######.##..#.##.##....#.##..#....##...#....###..#..##.##.##.####..........#####...##....##.##.############.##...#.####
##...........#.##..#.#.#.......####.........#...#.########.###.###.##.#.#..#.#......###....#.#.####....###..###########.#..#####.########...##.............##.#...##......####...#.##..##..#...#.#..###.....##.##.#.####..#...###..#######.##...#..#.#.###...#.#.#....#.#.....##.##.##.##..#.#.#..#.##.##..##.#.#.##.##.#.####.##.##...#.########...#....##.#.#######...#.#....#####.#............##..#.#......#
#..#.##.#.##.#################.#.###.##.#.#.########.#.#.###...##..#..#.##.#####.##...###.##.####.##.#...##....#.#......##...#.#...#......########.####.#.#####.#....##.#.##...###..##.##.##.######...#.#.#.##.##.#.#.##.##.###.##..#..##...##.##.################.#.####.#.######...#..##.....####..###..##..#.#########...##..#..##.####.###.###.###.#..#.#.......##.#####.#...#.....######.#.#..#.##.#.##.###
#.##.##.#.#..#...#####..#.##.....#.###..#.#.##.......#.#.#####.##.###.########....#.#...#.#...#.#..####.####.#...#.###.##..#...#.#...##.#...#.####....#####.....#.#.###.#....#.....###....##....#.##.##.###.##..#.#................##.####.##.......#.#...##.##.####...####...#..##.###.##.##################.#........##.#.#..##.###...##.......###.######.##.#.####..#.#.###.#...#.#......#.#.#.#####.#.##.#.#
#.##.##.########.#.#.##.#.######....##.##.######.###...........##.#.#.#...#....#.##.##.##.#.#.....###......#.##.##.#...##.###.##.##.#####.#......#.##....###.#.##.###...##.#.#.#.#.....####..##....#.##.#########.##.##.##########..#..##..##.#######.#.###...#....#.#....#.#...###...#..#.............####.#.#.#.#.##########.##.##..####.#.##.####..#.###########.##.#.....#.#.#.#.##.###########.#.######...#
#..#.#...#.#.................######.....#.#...#########.#.##.#..#.#...#.#...##.###...#..######.##.#...#.#.##.##.####.#..#.#...####......#.#.####.#..##.###.#.#.##...##.###.#.#.#.#.#.#....#.####.######........####..##.......#######.##..##..........#.#.#.#...#.##.##.###.#####.##.###.#.##.##########....#.#.###........##...#..##....#.###...#.#.##....#.............###.#.#.#.#.##.............#.##.#.#.#.#
#.##.#.#.#...###.##.#.#.##.#....###.##.######...#.......####.#.####.#.#.##.###...##.###..##..#.#####.##.####.##..###.#.##.#.#.#..##.#######....#.##..#.....#.#..#.###....#.#.###.#.#.##.######.....##.########....##..##.####....##.#.#..###.######.###.....#####.#####.###..####..#...######............##.###...##.#.#.####.#.#.####.#.....#.#........#.##.#######.#.#...#.###.#.####.###.#######...#....#.#.#
#.####.#.######..#..######.#.##.....#..#.##.###.####.##.#....#....#.#.######...###....#.####.#...##..##....#..#.##...#.##.###.#.##....##.##.#.##.###.##.#.####.#########.#.#...#.#.#..#......##.####..####...#.#.####.#.....#######.#.#.##.......####...#.#.....###...#...##......####......#.#.#######.###..#######.#.#....###.#...##.##.#.#####.#.#####....##.##################.#......###.#.#.#####.####.###
#....#.#..###...###.#......#.#..#.#.#.##..#.#...#.##########.#.####.#.##.....#...##.#.###......###..##..#.#####.##.#.###..##.....#.##.....#####...##..###...##........####.#.#.######.#.#.####.......##....#.#.#########.##..#.##.#.#.#.##.#######.#..#.#.#.#####...#######..#.#######.#.##.###.....###...##.......#.###.#.######.###..##.#####.###....##.##................##.########.#..........#.##.##.#####
#.##.######...#..#####.#.#.####.#.#.#.###.....#...#.#.###....#...##.#.#..#.#.##.##..#.##..####..##.####.#....##.##.#.########.#.##.##.######.####.##.#####.##..#.######..###.#.....##.#.#...##.##.##....#.####..####.#....#.##.##.#...........###....########...##.#####.#######..##.#.#.##..##.#.###.######.####.######.####.###.###.###....#..######..#.##.#.#####.######......##.....##.###.#.#..........##.#
#..####.....#.##..##########....#######...#####.#.........#.##.#.##.#.##.#.#.#..##.##.########.###.##...##.#..###..#......##..#..#.##...#......##.#......###..##......#.####.##.#######.#.#..#########.##.#.###..##....#.##.....#.#.##.##.#####...#.######.#..###...#.#..#.######....#########..#..........#...####.#..#........###.#.##..####.##....#.####..#.....#......#.##.#..#.#.#.#....#.#.##.#####.#....#
#.###.#############.#.#.#..####.#.....###.#.....##.##.#.#.#.##.###..#.#########..#..#..##........#..###..#.#.##...###.#.#..##.####.##.#...##.#..#####.#######.###.###......#.#....#####.#.##..#.....####......####..#.##.##.###......#.#####....#.###.#.#....##.###.#...##.#.#.##.####..#.##.####.#.##.#.#.#.#........###.###.#..##...###.......#.#.##....#####.##.##.###############.#.##.#.#.#..#.....####.#.#
###.#.#.#.##.#......#...#.##.##.#.##.##.###############.#.#.#....##.###.##..#.#.###.#.#####.#.#.###..##.####..###.##..#.##.#.....#..#.#.###########....#.#..#...#..##.######.##.#..##...#..##...###...###.#.#...###.#..#.#....##.##.##.......#######......####........###............##.#.#.....###..###.#.#.#.######.#.#..##.##.##.#.#...#####...#..####..##....###...............##.#.##.#.#.#.##.###....#####
#.....#...#..####.#...#......#..###.........#.##..##....#.#.##.#######...##.....##..####.#..#.#..###.##...##.##...##.####..##.##.#.##.#..#...####...##.....##.###.###......###..####..#.#.###.#.#####..####.##.##.###.#####.#..#..#..#.##.######.....#.##......####.#.....#.#.#.######......###...########.###....###...#.##...###..#.###.#.####.###....##..##.#...##.#.##.##########.#..###.#.#..####..########
#####.###.#.##.#####.####.##.###########.##....##....####.#.#..##..#.##.#####.#..##.##.....##.####.#..#.#..#..###.##..####.##..###.#####...#....##.####.#########...#.#.##...##....######...#.#.....####.#######....#..##...#.##.###.#.##.#......##.##..#.#.##....#.#.#######.#.##.#.#.####...##.###...##########...##.##.####...##.###........#...##.#..#####.######.#.##......#...#.#.###..#.##..#.##....#.#.#
#............#.#.#.#####..##..###..###....####....##..##..#.##..##.......#....##..#..###.#.##...##...##.########...#.##....###.#......##.####.###..##......#.##.#######.###.########...##.#.####.######....##.##.#####..###.####.##..####...##.#.####..##.####.##.######....###......#....#.######.#.#...###.######.####.....#.#..#...##.#.###.##.##..#.####........######.#.##...#.#.#...##.#..##....##.#.....#
#########.##..........#..###.##.##.#.##.#.#######.###..##.#.##.#######.#...#.##..#####...#.#..###..#.##........##.######.#...####.##.##.....#..###..##.#.#......##.#.##...#..#.###...####.#..#.#....#.#.#####........#.##......#..##.##...#..###..####.#...##...#####....##..##.#.##...#.##..#.###...#####.......####.########.#####.###.#...########.#....#.#.##.#....#.###..##.####.###.#..##..##.######.###.#
#..........##.#######.#####...#.......###.#.......#...##..#.##..##.....#.#.#..##.#..##.#.#.##..##.##..##.#.#.###......####.#####..##.###.#.###...##.##.###.#.##.......########.#.#.#..#.###.##...####.........##.#########.##.###.##..##.###.####...#####.####.####.##.#####.##.#.##########.#.....#...#.##.######.##.#.####.#...#.###.#####.......#########.#..#.######.###.##....##...####..#.###....##...##.#
#.##.##.#.######.##.........#...#.#.#.########.#.###.###.##.#..#######.###.####....##..#.#.###..####.##..#.#...##.#.###......#.##.##..##.#..##.#..#.##...###.##.#.#.#..#.#.#.#.#...##...###.##.#.##...###.#.###........#.#..#...#..#.##...##...####.....###.#..............#.####.......##.###.#########.##...####.##...#....#####.##..##.#..##.####.#.....#.#.##..........#####.#####.##....####...######.##..#
###########.#....#############.####.#....#.....#.##....#.##.##...##....#....#.##.#####.#.###...##.....##.#.#.###..#.####.#.#....#..#.###.#.##..#.##..#.#..##..###.#.##.........#.#..#.#...######....#...#######.#.#.####...##.#.#.##..##.####.##.#########..##.###.#.#.#.#####.#####.##..#.##....#####......###.....#.###.######.#..#.##....###...##...###########.##########.##.....#..####....#.#......#..##.#
#...##.#.#..####.#.#.##..###...##...####...###.#..###.##.#..#..#####.#.###.##.#.....##.#...##.##..#.#.##.#.#...##.###..#.#.#.#.###.#.#.###..#.##..##.###.####..##.#.##.#.#.###...#.######..#.##..##.#.#..#.##.########.###..###.#.##.###.#.#...............##....#######.##.##.....#####......####.#.#.########.###........##......##....#.##.###....####.#.#.#.##..####.###..###.#.##.##....#.##.#.#.#####.#..#
#.#..#.....##.##......##.....#..##.##....#...####.###.##.#.###.##....#.#...#....###..####.##..###.######.#.###.##...##...#.#.###.###.....###########...#....##.##.####.#.#..##.#####.#.###...##.###.#.####.....#...##..####...#.#.##.##....##.##.####.##.#..##.#.....##..#...#.#######.#.#.##........#.#.###......##.#######..##########.#......#.#.###..........####........##...###...#.#.#####.#.#.####..####
####...###.#.....#.##.######.#.##..#..##.##.##....#....#.#.##...###.##.######.#...##...######...#.##.....#.##...#.#.####.###.###.##..#.#......#.##.##.###.##########...######............#.#.##.#...#......#.#...####.##.##.#.#.#.##.#..#.###..#....#########..#.##.####...#......#..#.###..##.##.##.........#.##..######.###..###.#.###.##.###.###.....#.#.##.#......#.#.###########.#.#####.##..#.#....##....#
##.#####.....##.##.#..#.#....#..##.##.#...#.###.#.#.#.####.##.#.#...#..#......##.####.##...##.###.##.#.#.#.##.#.#.###....##..#.#.###.#.#.##.#......##..##.....#.##.###......##.#.#########.###..##.##.###.##.#.###..#....##.#######..####.#.##.#.##..##.#.#.####..###..##.##.##.#...##.#########...#####.#.#.########...#.#.#.##.#.....#..#...######.#.##.#..####.#######...##.#.#..#.#..#.....#.##.##.###..#.##
#........#.#.#..#####.....##.#.########.#.#..##.#####..###..###.###.#.#####.#.##..#.#....####...#.#..#.#.#..#.###..###.#..##......####.######.#.#####.###.###.......##.###.##..#.........#.###.###.##.########...##.#.####...#.#.##.##.......#######........#.########.#...#.##.#.#......###.#####.....###.#.###.#.#..###.#.#..#.#.#############...###..####...##.....###.#..#.#...##.##...##.##.##.##.#.##.####
#.###############.#...#.#.######..##.#..#.#.#######...##.########...#.##....#..#.##...##.##.#.######.#.#.##.#...#.##...####..##.#....#.###....#.###.###.....####.#.##....#######.###########.####...#........###.........#####....#####.##.####.#.##.##.#.#.......#.##.##.##.#..#.#.####.......#########...#.........####.#.#.##............###..#..##.###.##########...###.##...#..#.##.#.##..#.##..#...##....#
####...##.##........#.#####...###......####..#.##...#......##.#...#.#..####.##.#.###.##.....####.#.#.#.#.#..##.##.####....##.##.#.#.####.##.#.#.......#####....######.##.##..###.........###.##.##.###.#.#.#...##.##.###.......##...##..#....#.....####.###########..#.#...###.####....#.#.#.#.........#####.####.##........#....#.##.##.#.##...###.##.........#.#.########....#.#.##..###..##.#.##.##.#..#.####
##...#.......#.##.#.#.#..##.#.....#.##.##...##....#.#.#.#####.###.######.##.##.#..##..##.##..#.#.#.#.#.#.##..#.#.....##.#.##.##.###.......#.###.##.##....###.#......###...##.....##.#.##...#.##.##.##..###.#.#.#..##...###.##.#########.##.#...######.####.#.#...##.##.#.####....##.##.#####.##.##.#####.##.....#####.#.#.#...#.#######..#....#...#.##.#.#.###............###.####.########..#.###...#.#.##....#
#..#######.#.#.#..######.########.###...##.######.#.#.#.##.........##........#.##..##..#..##.......###.###..##.###.###..#..###....###.#.#.#####.####..##..##.#.#.########..##.#.#####..#.#.......#..##...#####.##.##.#...#.##........#####.#.#..##.#...##......#.......#....#.#.###.##....##.####...###...##.##...##..#.#.#.#.#.......##.#.#.##.#.#.##.#.#..####.##.###########.##.#......########.#.###.#######
#####......#.#.########...######..####.##..##.#...#.#.#..#.####.#.####.#.#.#.###..####.#####.#####.##...#####..##..##..##.#####.#...#.#.#####....#############.#......##..##..#....##.######.#####.##..####..#.##.##.##.##..###.#.##...##..#.##......#....###.##.#.##.#######.###.#..##.#..#..###.#.....###...##.##..##.#.###.###.########.###########.####....####...#####.##...###.#######..##.#######.......#
#.#.####.#.########.#.###.#.#....##.#...####....#.###.##.#.##...#.##.#####.######...##..#.#....########.....##..##..##..#.#.....##.#######....##...###.###.###.#.##############.##.##.....##....##..##......###########..####...#..###..##.#..##.#.###.##...######.##.....#.#.....#.##..##.#.##.####.#.########...##..#.#...#...#...#########.###....#....#.#####.##.##........###........#..###.##.#..#.#.#.###
#......######.#...#...........##.##...#..########..##..#.#.####.#.#...#.#...##....#..##...##.#.....##...#.####.####.##.#####.##..#...#.#.####.##.#...........###.....#.#.##.##...###..#.#..##.#####.##.##.###.#.##....#.#######.##...#.######..#.#...#..#.#.....##.##.#####.###.#.#..####..#.......#.#..#.....##.####.#.#########.###.##.##.#.#.##.##########.#....#....#####.#####.#######.##.#.##...######...#
#.#.##..#.#...###.##.#.####.#.######.###.#........####.#.#..##..#.###.....#.##.#.##.####.##..##.#.##..#.#.#....##...##.##.....##.#.###.#...##..#.#.######.#.#####.#.##.#..#..#######.##.#.##......#.#...#..........##.#......##..#.###.##.....##.##.###.#.#.#.#######........#######..###.##.###.######...#.###.....###.........#####.....#.........#.##.#.#....#.##.##..##.###..##.#....##.##.#....###.########
###..##.#.###.#....#.#.##...#.#........#.##.#.##.##..#.###.##..##########.#.#..#.#.....#..#####.###..##.####.#..###.##..##.##..###.......#..##.###...#.####....####......##.##.#...########..#.#.#####.###.#.#.###.####.#.####..##..##..##.#.#####..#.#######..#.##...#.#.##...#.#.##...####..##....#.##.##...##.##..###.#.##.#.......###...##.#.##..........#######.###.##..##.##..#.####...#...####....#.#####
#...##.....##.##.#...#.####.#.####.#.#.#.####.##..##...##...#######...###.###.####.#.####.....#...##.##..##..#.##....##.#...#.##...###.###.######..#.....###.#....##.#.####......#...#....##.#.#.#.#...##..#.#...#.#.##########..#.##..#####..#.###......#.#####.####.##########...##.#..#.##..##.#...##..#####...##..##.#..#.#.##.#.######.######..########...#.#.#..##....###..##.#..#.#.###.#......##.......#
###.#..#.#.#.....##.##..##..###....###.#.#.....##..###.##.###.#.#.###......##..##..#.##...##.##.###..#..####.#.#..#.######.##.#..#...#...#....##..##.#.#..##.##.####.#......#.##.###...#.##..###...###..#.####.#.#............#.##..#.##.####....##.##.#..........##........#.#..###..##....##..####.########.#########..##.#.#.##.#..#...#..##..##........#.#.....##..##.#.....##....##.#.....#####.##..#.##.##
#####.####...#.####..##..##.######..##.#####.#.###.###.##.##..........##.#..##..##.#.##.#.##..#...##.##.##...####.#.##...#.####.##.#.##.###.#.##.###.####..########..#.##.#####....#.#.#####...#.#####.##...##.#.##.###.#########..#####.#..#.#.##...#.#.###.########.#####.....##.##.###.#..#.########...............##.########..##.#.####....####.#.#.#.#.###.#####..#.#.#.#....##..#.#.###....##########..##
#.....#....#.#.##...####.##.#......##...##...#...###....######.#.####.##.####..##..#..###..##.#.#..###...##.###.###..#.#....##..##.#.####.###.##.#.#.#####..#.....######..##.##.#.####..##...#######....#.#..###..#..######.######..##.#.##...#..#######..##.......##.....#.#.###...#...#.#.#####.#.##..##.#.#.########.........####.......#.#.###.###.#.#.#...#.....#.##.#.#.#.##..##.......#.##..........##..#
##.#####.#.######.#..##########.#.####.########.#####.#.##.##..#.#....#.....##.###.##.###.#####.##...###..#.#.......####.#.###.###.#...#...##.##...###.#.##...#.#......##....##.#...########...###.###.########..###...#......#.###.......##.###.....##..##..#####..#.##.####...#.###.###.#..##.#......##..#.#.....##.###.###.#..##..#.###.######..#######.######.####.####.###..#.##..#.###.#.########.##.###.#
#...##...####.#...##..##...##...#.##...##.....#.##....####....##.##.#.##.#.##....#.####...##.##..#####...##.##.##.#...##.####..##..#.###.###..##.#........########.#.#####.###..#.#......##..#......##.#.#.##.##...#.#...##.###.#.#.####.##..#.##.##..##.###..####.####..#.###.##.#######.##......####.###.#.##.##....###.######..####.######.#.##...##.##.....##....###.##.##..##..##.#...#.#...###.##..###.#.#
#.#.######......#####..###.#..#.#.##.#..##.##....####....####.##.#..#.#..#####.#####.###.##...##...##..#..##########.###..#.#####.##.###.######..##.##.################.##..##.##.#.#.##.###.##.#.#.#..........##.##.###.##.......#...##..##...########....##....#...###.....#......##..###..#.##....###.#####...#.##...#...##.##..##.....##.....###.....#.##.##..######.##..#.##..##..##.##.#.###....#.####...#
#####.######.##...#.##.#.....##.#.##.#.#######.#..##..#.##.....####.####....##...##.........#####.####.#.####...####.#.##...###.#.##.........##.##..##........#.#.#.#...#########.#.#..#...###..###.###.########..##...#.##.##.#.###.###.#######.#....##.####.######...#.#.####.#.#....#########..#.###..######.##.##.#.#.#.....##.##.#.#....#.#.....###.#.##..#.#####.#.##.######..##..#.##.#.....#######.###.#
#..##.....#...###...####.##.##..#..######.#....#.########..##.####...##..#.##..#########.##....#####.#.#.##...#...#.....#.#.#......#.####.#.###.#..####.##.####.......#..###.##.###.#.####.########.##.........####..#####...#.#...#...#...##.#....#.##.....#......#.#.#.#...##.#.##.####.#.#.###.#.#.#.##.#..#..########.##.#.##..#..#.##.###.#.###########..##..........#.....##.####.###..###.#...#.##....#.#
##....#.#...###...#..##..#...##.##.##.......##.#..#...##..##..#....#..##.#.###...#.###...##.##...#.#.#######.####...#.#.###.#.#.#.##....#.###.#.##.#.##.#.......#.##.#####.#.....##.#...##.....##....###.#.##.##.###....###.##.#.#.#.###.###....#.########.###.#.#.###.####.########..#........##.#......#.#.#######.#.##..#.#####.#.##.#..#####.........####..####.####.####.######......##..##.#.#....#.######
#####.###.###...#.######.##.##...######.#.#.#..##...#.##.##..####.##.##..#..##.#.#.....#.##..###.........#.###.###.##.#...#######..#.#.##.....#.##...##.##.#.#.####..........##.###.#.#..##.#.####.#...#.#.##......#.##...#..#####.#.##....###.####...##...#####.#...#.##........#.####.##.#.####.#.#.##.......#.#.#....########.###..####...#############.######.########..#####..##.#.#..##..#.#.##.#........#
#.....#...##..#.#.##.....#..####.###....#.#.####..#.####..##.#.....#####.#.##..#######.#.##.####.###.#####..#..#.#.##.#####.......##.#..###.#.#.##.###..##.#.#....##.#.#.#.#..#...#.#.#.#####.##...##.##.#..#.##.###..######....####..##.#..##..###.######..#..#.#.#.#..##.#.###.........###....#.#.#..###.#.###.....######.#..#..######.#.#........####.#...##.#.###......###..#.#####.#.##..####.####.##.#####
####.####..##.#.#.####.#.#.##....#.##.#.#.#.#####.#..##..#######.#..##...#.###.##......###.....#####.....##.##.....#.....##.#.#.#.#####...#######...##.###.#.#.####..###.#.#.#############.#####.#.##.##.##.####.####......#.##...######.#.##..##.......##.##.######.#.##..#...#.##.#.##...#.##.#.#.######.#.#.#.###...##.#.#.##.##.###....##.#.#.#....#...###..#.....######.#.##.....###..#.##.....##..#####.##
#######...###.#.#....#.###..##.#.#....#.#####.....#.##..##.###...######.##..##.#######...##.##.....#.#.###.....##.##.#.###..#.#.#...#.##.#########.#####.#.#.#....#.###..#.#..........##.#...#.###.##.##.##....#....##.##.#####.#......#.#....##..#.##.##..........#.#..##.##.##..#.#.##.#.#.######.####.###......#######.#.......#...#.##.##.#.###.##...###.##...########......##.#######.#######.####....#...#
#...##..#.#...#.##.#.#..########.####.#.##.#..#.#.#..##.##.#...#...#.#..##.##..#.......###...####.###########.##..##.#...##.#.#.#.#....####.#.#.##.#.##..#.#.#.##.#...#.####.#.#.####......###.##...####.##.####.####...#.....#.#.####.#.#.##....##.##.##.###.##.############..#.#######.#.#..##.##........#####.##.##.#....#.##.##.#####..##.#.##...#####.#.#..#..#.......####..#......##..#.#.#....###.###.###
#.#..########.#.##.###.##.##.###.####.###....####.#.#####....#.##.##.##.#############.####.#.######.#.#..##....##.#..#.########.#.##.####.#.#...####.#..##.#.#..#.#.#####.######...#####.#.##...###..##..##....#....#.###.#.#####....#####..##.######..#....#.##....#.#.#.##..##.......###.##.....#######.#####..........#########..##.###..#####..#...........###...#####..####...##########...##.#...#.#.#.#.#
####...#.#.##.###..###.#.........#.....###.#####..#.#.##..#.##.##.##..#....##.........##.###............####.#.#..####..##......#.##........#.###.#....##..###.##.#.##.##...#..#.#.#..####....###.##..##..##.#.#.#.##..##.#....###.#...##..##...#.####.##.#.#######.....#.##.####.########.##.#.#########.....###.#.##.#....##.####......##..#..########.##.##.##..#...######.##.#....#.#.##..#.##.#.#.#...#...#
##.###..........##.#...####.###.##.#.#.#.####.#..##.#.#####.##.#...##...#.#######.#.#......#.#.###.####..##..#######...####.##.##.##.##.#.#.........##..##...###..#..#.##.###.######.##.###.#.#...#####..##..###.###..##..#.##..##.#.####.#####......#..#.#..#.######.#...####...........#.####.........###.#.##..####.####....#.#..#.######...####.####.####...##.#.#....###.##.#.####......#########.#.#...###
#...##.#.#.##.###..#.###....##...###.#.#......#.##.....##...####.#..##.##..##.....#.##.##.##.#.###....######.##......#....#.#..##.##..#.#.#.#.#.##.##..##########.##......##....#.##.#...####...###.#.######...#...##..####..#.###.#....#.#.##..#########.##........#.#.#..######.######.#...###.#.#.##...#.#####.##.#...#######.#.##.....##.###.......#...###########.##......###......#.#######.#.##.###.#...#
###....######.####.#.#...##.#..#.##..#.##.###....#.#.###..#....###.###..#.#####.#.#.##.#..##.#...#.#.###.....##.#.##.#.#.##.##.#..##.##.#.#.#.#.######..#.#.....####.#.##....##........#....##.###........###.##.#..##...##.##...####.#.#....##.........#.##.#.##.###.#.##.....##.....####.#..######.##.###...##.....#.###.###.#...##.#.#.##.....##.##.#.#....##...###..#.#.##...#.##.#######.#......########.##
#...#.###.#.....##.#.###.##.#.##..#########...#.##.#...##.#.##.#...#...##...##..#.####.#.##..#.#####...###.#..###.##.#.#..#.##.#.##...#.###.###...##.##.....#######..#.##.####..##.##.###.######...####.#...####.##.###.#####..#....#.#.##.#.##.#.#.########.#.##..##.#..##.#######.#....####.....##..#...##.####.##.#...........#..###.#####.####...#.###.#####.###...######..#.#.##..#.#......##.#.....###...#
#.#.###.....#.###..#.#....###..####..###.#..#.#..#.##.##..########.##.#########.####.#.#.##.##...################..#.#.#.####..#..##.##..####...#.....#.#.#.......##.###.....##.##..####..#.#.###.###.###.#....#.##.#....#.##.##.#.##.####.#..#.#.#......#.#.#..#.######.##.......#.##.#....#.###.##.#########..###..#.#.#.#.#.#######.....##...##.#######.#.#.#.#.###......#.########.....#.#######.#.#.#.##.##
###########.#...##.###.##..#######..##.#.#.##.#.####..###.....#.##.#.......#.#####.....#.##..#.#......#...##......##.#.#.#..##.####...##...###.##.###.###.##.####.#....##.#.#####..###.##..............##.###.##.#####.#....######..#..##..##.###.#.##.#...#.####......####.###.###.####.#.##..##.##.......####.####.#####.#.####.##.##.####..#..#....##............######.####.#.##...#.#.#..##..##.#.#....####
##.##.......##.##..##...####.#.#.##.##.#...#..#########...#.#.#..####.#.##.#...##..##.#####.##.###.####.######.##..#####...##.....#.#.#..#..#########..##.##...#####.#.##.#.....##.....###.####.###.#.###...###...##...#######..######.##.###.##..###..#.#.#...##.#.#.###....######...######..##...#.#######.##.#.##.##.####..........#...###.#####.######.###.#.####.#.####.##....##.#######....##..#.#.##....#
#.....##.##.##..#####.#####..............#.##....#.##...#.#.#.##......########....##...##...##..##........#.##.##.###.##.#####.#.#######.##..##.###...###..###...##..######.#.#.#..#.###.#....#####.#...##.####.#..###.........##....#..###....##...#.##.####.###.#.#.#.####...#..#.#......##..##.##..............##.......##.#.##.#.####.#.#....##...##.....#.#........#.#.....#.##....#.##..##..##.#.#.##.####
##.##..#.##..##.....#.#...#.#.#.#.#.#.##.#.##.#.##.###.##.#.######.##.###......##..##.####.#######.###.#.##.....#.##........##.#.#.#.#.#.###......#.#...##.##..#..##.....##.######.#...#.####.....#.##.##.....#.#####..##.####....#.##.#####.#.##.###########...#.###....###.#...##.##.##.######...##.#.##.#.##.#####.#.#####.#..###.#.####.#######.#..##.#.##.#.#.##.#...#.#######..##....##..##.##.#.#.##...##
####..##.#..###.#.#.#####...#.#.#.#.####.#..#.#......##########....#....####.#..##.#...##......##....###..####.######.##.#.#####.......#..##.#.##.###.####..##.##.##.##.###.##.##..#.#......##.#.##..#..###.###.##..##..#...##.#.##..#.#..####..#....#..##.#..###..###.###.####.########..##...#.###..#.##.#.##....##.###.##..##..##...#.#........#.#.##..#.####.#..#.#.#.........#######.##..##...###.#.##.#..#
#.###..####.#.#.#.####.#..#########.#....##.#.##.#.#######.##...##.##.#..##..#.######.####.##.####.#...######.....##..##.#.##....#.#.###.##..####.#......####..##.##..###.#.....##.#.#.##.#########.###..####......##..######..#####.#...##....##.#.##.##..#.##...##.#.##.....#........##....###...######..######.##.......##..##.##.#.....#.#.######..##.#...#####.#####.#.#.#.###.##.###########.##..#.##.##.#
#...##.##.....#.#.##.....###.#.#######.#..#.######.....##.....#.#...###.##..##...##...##....###.##.#.#...##...##.####.##.#.##.##.#.#..##.###....###.#.##..####.##..#.###....######.#.#.#...#......#...##...#####.###..##....##.###...#.###..#.##..####..##.######.##......##.########.###.##..##.###.#.###.....##..##.###.##..##..##.#.#######.....##.###.###..##.###...#.#.###.....#.......###..#.##.##.##..#.#
#.#....#..#.#.#.#.#########.....#.##...#.##.##.....#.#####.#.##.##.##....##.##.#####.###.#.###..##.###.####.#.##..##...#.#..###..#.#.##...##.#.####.#..##....#.#..##...##.#.####.#######.#...#.#########.#....##...##....####....###.#...########..#.#.##...#.##..###.#.#..#........#...####.##..#......##.##.##..##....#..##.###.##.#....#.#####.##....#...##..#..###.##############.#####.....####...####.##.#
######.#.##.#.#.###.......#####......#.#.##..##.##.#.###...#..########.#.##..#.#..##...###.....###..##..#.###.##.####.##.#.#####.###.##.#..#.#....####..#.#.####.#####..#.#.........#.##.##.##....####.#.#.#.##..#..#.#.###.##.#...#.###..##.#.###........###..##.#...#.#.##.#.#.######..##...##...#.####...#####.###.######...##..###.####.#.#######.#.#.#.###...##.#........##..........#.#####.#..#....#..#.#
##.#...###..#.#..##.#####.#.....#.##.#.#.#..###..#.#...#.#.#.##........#.#####.##....###...#####.##..####.#####..##...##.#.##......#.##.#.##.#.#.####..##.#...##...########.#.#.#.#....#.##..######....#.###.###.######.....##.##########.......##.###.##.....#######.#.#..###.#####.#####..#.#..###....###...#.###.#.##.#########..##..##.........######.#..##.#......######....#.#.####.#....##.####.#.#######
#....#...##.####.#..##......###.#..###.#.##.##..####.#.###.#.##.#.#.##.#..####.####.###..#........##..........##.##.#.##.###..##.#####..#.#..#####..##..#.##.###.#......##..#.#.###.#.##..##........##.#..####.#.....##.##.##..........##.#.#.#.#....####.#.#....##...####...#...........#######.######...#.#...##...............##..#.##..#.#.#####.#.####.##..#.##.####.######.###########.###.....###..##..##
#.##.#.#.#....#####.######.####.####...#..#.#..##.##.####..########.##.#.##..###.#..#.##.#.#.#.#####.##.#.#.#..####.#..#.##..##......##.####....##.##..####....#####.#.####.#.#...#.#.##.##..#.#.#.###.##......#.#.#..#..#..#.#.#.##.#.##.#######.#.###.###.###.###.#..#########.#.#######...##......######.#.#..###.##.#.##.#.#####.#....####....##......#####.#..#...........#.........#.####..#.##########..#
###..#.###.#.##.#.#.#.######....##.###.#.##.#.##........##.###......####.###.......##....#.#.#.....#.##.###.#####...##.#..#.####.#####....###.####..##....##.#....##.#....#.#.##.####..#.#..##.#.#...#.##.##.#.###.#.###.#.##.#.#..#.#.##.....#####.....###...#...####..#.########.........#.###.###......######.#....###..#.#....#####.###.##.######.######.##.##.#.#.#.#######.##.##.#........####.#..###.#.##
#...##..##.#.##.....#.....###.#.#......#..#.#..###.#.##.##...###.##...##...##.##.#..##.#.###.##.######...##.....##.##..#.####..#.....####.#........##..##..#.#.#####.#.######.##..##..##.##.####.###.####.##.#..####...###..#.#.#.##.#.###.##.....##.##...#.###.#..#.##......#...#############.....#.#.##..#.#.####.#..############..........#...#.#...##.#..##.##.###.#.......####.##.##.##.##......#.##.#....#
#.#.##.##..#..##.##.#####.....########.#.##.#.##...#.##.##.#...#####.##..#.####..#.##..#..##..#......##.###.##.#####..##....##...#.#....#.##.##.#.####..#.####...#.#######..#.##.###.##..##...##..#####.#.#####...##.##########.####.#.#....#.#.#.##..##.##...######.#..#.##...####.##.....####.#.##.#..##......########..#.#.###.##.##.###.####.....#....#.###.#....#.##.####..#.#..####..#..##.###........#.##
#.####.###.#.##...######..#.#...##.....#..###.##.#.####.##.###.##.....##.#.#....##..##.#.####.#.###.###.##..##.....##..##.#####.##.########...#####..##.#..##..#...........####..##...##.#..#######.....#..##.##.######......##....#.#.#.#.##.#.###..##..##.#....##....####..#.........#.###..###..###.########..#.#.#.#.##.......##.#....#....##.#.###.#.....#.###.##.##..####...#.###.##.##..#..###.#.##.##..#
#.##...#...#..#######....##.##.##..##.###.##...#####....##...#.####.#.##.#.####.#####..#.##...#.######...##..#.#.#.###.##..##...#..###....###.....##..#.#.####.#.###########..#.####.##..##.........##.###.##...........###.##..#.##.#.#.#.##.#..##.##..##..#.######.#...##.##.###.##.##.....#####..##........##............########.##.#.#.##.######.######.##.##...#####.#.###.####.#.######.##..##.######..##
#.###.####.####...#...####..##.#..##..#.#.###.###.####.##..#.#.#....###..#.##....##...##.##.#.#....##..#.##.####.#..##.#..##..#.##...#.######.#.#..##.######...#.............##..##...######.#.#.##..#######..#.#.##.#.###...#.#########.#.#..#########..##.#....#.#.##.###..#...#########.#..#.###..##.#.#.###..#.#.##.###........###..#.#.####.#.##.#############.###.#......###......#.#.#####.##.......##..#
###...#.......###.#####....##########.#.###...#.........##.#####.##.##..########..###..#..#.#.##.#..##.###.....#.##.##.##########..#........#.####..#.###..##.###.#.###.######..##..#...##...###..##..#.#.###.#.#.##.#...##.##.........#.#.##.....########..#.#.##.####.#.####.#.........####.....##..#.#.#...######.##..##.#.#.#######.###...##.#.#....#......##.......##.###.....##.###.......#..####.######.#
#...###.#.#####.........##..##..........###.###.##.#.#.##.....##.#..#..########..##...###.#.#..######..##..#.#####..##.#..........###.####.##....##.....##.####...#...#......########.######.########.#.....###.###..#.#########.##.##.#.####.#.###.##.####.#.#....##........#####.#.#.#####..#.#.#########.#...##...##.#####.#..#.#.#####..#..#.....####.#########.#.###..###.##.##......#.###.##....#......#.#
##.##...#####.########.####..#####.#.##...####..####.#..###.#########.##.#.##.#.##..#.##..#.#.###.#.##.##.##...####.##.#.#.#.#.#.##......#..#.#.###.#.#.....#####.##.###.#.#....#..##.##............#...#.####....####..##.#.###########.##...#..........####.#.#.###.###.#####.####.#.....##.#.#..##.##.##.##.####.##...#..#.##.......##..###...#.#####...#..#..####...##...#..#..###.####.#####..#.##.####.#.#
#..##.#.##...............#####.....#..#.#..##..##....#.##.....##...####..........##.#..##.###.......##..####.###.#...#######.#.#.#####.#.#.##.#.##..#.###.#....##..#...###.##.###.#########.##.######.######.#.##....##..#.#.#....##..##.#..#.##.##.##.#...##.###.##....#..........###.##.##..#.##........####..##...#.#...#######.#.#..##.##..#.#.......#...##.##.##.#####.##.###...#...####...##.####....#.###
##.#..#.###.#.########.###.#.####.##.#####..##.##.##.#.####.######...###.##.#.#.##..#.##....#.##.##..##..##......#.#..#.#.##.###..##...#.####.#..##.#...####.###..##.#...#.##.#.#.....#.##..##.....##....##..#####.#####.......####..########.##..##########...##.###.#.#.##.###.#####.##..##.#..#.#.####....##..##.####.#......##.######...##.####.######.#........#####.#..#...##.##.#.#.##.########..#.######
#..##.#..#########.##..##....#######.##..#.##..##.##.#.#.....#.#.###......###.#..####..##.#.#..#..####..###.#.#.##.#.##........##.####.#....#.#.###.#.#..##....##.####.#####......#####....##..#######.#..##.....#.....#.#.#.####.#.##.##.....###.###.#.##.##.###.#.#.#.#..#..##.....#..#.######.###...#####.###.#.....#.#.#######......###.##...##.....##.##.#.#######.#.######..###..#.......##.##.####..###.#
##.#..#.##.......#.##.######....##....##.#####..#.##.###.##.##.......#.#.##...#.##....###.###.###....#####..###.##.#..##.##.##.##.#....##########.#.#.#.####.###....##....##.##.#....##.##.###....#.#####....##.##.###.#.###............#####..##...........#.#.###...#.#.#####..#####.####.###..###.###...#.#.#######.#.#.....#.##.###.#######.#####.####..#.#...###.#....#...#.############.##........##.....#
#..####..###.###......##.#...##....##.....##...##.#..##..#...##.#.##.#.#..##.##.#..##...#...#.#.##.#.....##..##..######..#..##.#######.####.##.##.#####....#...##.#..#.#.##...#.#.####..##...##.#......##.#######...##.#.####.#.#.#.######....####.#.#.##.#####...###.#.#.#.####....##.#.#....##.#.......#####.##...##########...########...##..#...#....#.##.#####.#...####.######....##.######.###########.#.#
##.##...##...#...#######...####.##.##.#.#..##.######.#######.##.#.##.#.##.####..##.#..#####.#....#.##.##.###..##......#####.##..#####.......##.##.#######.###.##..#.########.####....##.##.#.#..##.##.###.......######.#....#######..#.#.####..##..###.#####.##.###...#.#.....##.#.#####...#.######.#.##..####.##.###.#.#....#.###.#...##.#####...###.###########.#.#.####.#....#.#.#####.........#......#######
#...##.#####.#######...######...##..#.#.#.##..#..##..#.......##.####.#.#...##..######.....###.#.##.##..#..##.#####.#.##......#.##.#...#.##.###.##...#.#####.#..##.#.......##....#.#.##..##.#.##.##.####...#.#####.##.####.####.#.###...#.####.####...###.#........##.##.##.##..#####.##..#.####.##..#..##..#.#.....##.....#.######.#.###...#.##.#...###..##.##.........#.....####.#.#...#.#.##.##...##.###.##.##
#.#.#..##....#.......#....#.##.###.##.###..##.#.##..###.###.###..##..#.#.#.###.##.....#.#...#.###..###.#.##......#.########.##.##...#.#.##........#......##.########.#.#####.##.#######.##.####.##...####.#...........##..........##.#......#..#.#.####....#.#.#.##..##..#.##.######.#..##..#.#..##.##..##.....###....#.#.#....#.#.#..#..###.####.######.##.#..#.#.###...##.###.#.....###.########.##..###.....#
#.#.##..#.####.#.##.#####.#....##...###...##.....##.#.###...##..####.#.#.#.#....#.##.##.#.########.#...#..##.########..#.....######.###..##.#.##.###.#.#.....##...##.#.....#..#....##...##.##...##.#..###.##.####.#.#..#########.##..#####.#####........#.##.#.#..##..##.####.##.#.....####.....######.####.######.##.##########.....##.####...####.#.##.##.#.####...######.##..#.######...##....#######.#.#####
######################......#.##..#...##.####.##..###.....#.##.##.####.#######.##.#..##.#........#.#.#.#.##.........##...#.#.#...######.##..#.##...#######.###..#..#.##.##.#########..#..#####.##..##...#.##....######..##.#########.....###.####.##.#########.#.####.####....##...#.###.###.##...##.....##......#.#..##.#.###...##.###.##.#.###.##..............#.#....##...##.#........#..#.#####.#.##.......#
#........#...##....#.###.#.##.##.##.###....##..##...##.#.##..#.##.#.##..##......###.#####.#.##.#.#.#.#.#..##.##.###.#..#.#.#.#.#...#.....##.###..#......##.....##.##.##..#...#.#.#.##.##.##.....####..###..##.####..###.........#.##.#.#...#.#.#####.....#..##.#...##...#####....#.#...#..##..#.#####.##.##.#########..........#..###....#.#.#.#.##.###.##.#.########.#..#.#......##.##.###...#.#.#.#.##.#######
########.###.#####.......#.#...###....##.########.#########.#####......##..##.####....##..####.#.#.#.#.#.###..#...####.#.#.#######...#.####..##.##.#.#.###.##.###..#.##.####........####..##.##....##.##..##.......##.##.#.######..#.#.#.#.........##.##...######.###.#..#..###.######...######...##..##.##.......##..##.##.#.######..##...#...#.#....#.#..#........#.#.####.##.#..#######..#.....#.#.#....###.#
#.........#...##...##.#.####.#.#...#.###......##...##.#.#.....##..##.#..##..###....#.####..#.###.#.#####.#.######....###.#.....####.##....#.###.######...######.#.##.##.#.##.##.######.####..##.##..#..######.##.#.....#.#.#......########.######.#####..#..#.##....#.##...##........#.#.....##.#####.##.##.#.#######.##..#.######.#.#######.###.#.######.##.#.#.#.####...##..#.##....###..###.##.......####.#.#
#.##.####.###.####..###....#.###.#.#.#...#.##.##.###......#.###..###.#.###.##...#.##.#####.....#.####.#.......######..#####.#.##.....##.#.#.##.......#.#........#..#.##....####...........##.##..#.##.####.#...#.#.###.###...#.####...##........#....###.##....##.#.#########.#.##############.....##.#..##.#.......#.#..#####.#.#....#.#.##............#..###.#.###.##.###..##..#.####.#########.###.#.###..#.#
######........#..##.#...####.##..#.#.#.#.#.##.##...##.##.##..##.##...#...######.#..#..##.##.########..##.#.##......####.....#######.#####.#.##.#.##.####.#.#.##.##.###..##.##.##.#.########...#.##.##......##.##.#.##....##.######..#..#.#.######.##...#.#..#######.....##....#.....#.#....#.########.##..#.#.#.##.##.##..###......####.#....##.##########.###.#......#...##..#.##.......##.#...#..######.#.##.#
###.####.#.##.#.#######...#####.##.###.#.#.##.##.#######..##..####.#.###.#......#.###..#.##.....##...#####..##.#.#..#####.#.##.......##...#..#.#..#..###.#####...######.##.....#.########.##.##..#..##.###.##..#.#####.#.##........###.#.#......#####.#####.......###.#..####.#.##.##...####.#.####.#.##.##.#.#..####..##.....##.#........####.........##....#.#.##########..##..#.#.#.#......######.#.#....#..#
#.#......#.#....##.##...#...##...#..##.#.######....##....###.###.###...#.####.#.#..###.#....#.#....###.#...##..#.##.#.#...#..##.#.##.##.#.#.##.#.###...#.....###.....##.#..#.#.#........#.##..##.#.###...#######...#.######.##.#.#.#.###.##.##.######...##..#.###...###.##....###.....#####.........###...###.#####.##.#..###..#.#.###.#.######.######..########.........###..#.######.#.##.#....###.#.#.##...##
#...####.#.##.#.......#.#####..#.#.##..#..#.#...#.###.#.##.....#.####.##.###..####...#.##.#.#.#.##.....##.##..##.##...#.###.########..###.#.##.#..##.####.#####..#####..#.####.#.##.#.#...#####..#.#...####.########......#.##.###.....#######....##..#.###.#####.#...#..#.##...##.#.###..#.#############..##.###.#.#####...##.###..##.#......#..###.##.....#..#.#.#.#.#..#####....##..#######.#.......#.#######
##.##....#######.##.###.....##.#.#####.##...##.##.#...######.#...#.#######...##....#.######.###..##.##.##.##.##...#.#.#.##..##.#.....###..#.####.##....##..#..##.....##.###.####..#.#.#.#.....##.###.#............###.###.#.##...###.#...#.#.##.#..#.##.#.......#.#.###.##.##.#..#.#...##...####....#...##.##........###..###...##.###.#.##.####......##.##...##.#.#.#.#.##...#.#####.####.##..#.#.###.#.......#
######.#.###.....##..##.#.#.##.###.....##.###..#..#.###......#.#.......###.#..###.##...##.....########.#...######.#.#.#..##.##...#.#...##.#...##..##.#######.#####.###.......##..##.###.#.#####...##.#.######.#.###.#.#####.##############.#..###.##..####.########..##.##..########.#....#......##...#.##.##.###.##...##...#.#.#..##..#..#....#.#.##..#..######.#.#.#.#....#######.####.#..##.###.#####.#######
#.#.#..###...###.#..###.#.#.##...###.#..#...#####.#.####.#.#.###.##.#.##...##..##..#.#######.#####...#####......#.#########.####.#.##.##..#.####.##.............##.#############..#..##.#.###.########.###.######.#.#....##.........#.##.#...###..######.....###.##.##...##..#.########.#.###.#.###.#####..##..#######..#.#.#.####..##.#.####.##############.#.##############.##.....#.#.#.######.........###.##
#...##...##.####.##.##..#.#.##.#..##.##.######....#.#....###...###..#..#.#.##.##..##....####.......#.....####.#.#.......##...#####.######.#..##...##.#.##.###.###.............##.###.##.#.........#.#........#.#......#####.#.#####........#...##......##.##......#..#######.....#.######...#.#...#.....##..##....#..##.#.###....##.####....#..##.#.##.##.#........##.......#.##.#####..........###.###.#......#
###....#######...##.##.####.#..#####.#.....##..#.#######.##..#..###.#.##.#.#..##.##..##.#....#.#.#######.#....#.##.##.#..##.##.........##.##..##.###.#..#...#...##.##.###.########.###..#.###.#####...#.#.##.....####.....#######.#####.##.##.######.#.##..##.##.###...#####.#.#...#.#.############.###.###..##.#...###.#...##.####.#....#.###..............#.####.#..#######....#####.##########...#########.##
####.#..#.##...#.##.##...#####.....#####.#.##.##..##.#######.####...#.##.####.##.#..########.###...########.#.####.##.#.##..##.#.#.##.###.#..##....###.###.##########...#...##.......##.###......##.#.#.#..#.#.#....#########........###########.#####..##.##.##...#.#...##..###.#...............##.#.###.#.##..#.#...#.#.###.....#.###.##...##.###.############.####.........##...............####....#.####..#
#....#.##..#.#.#.##.#..#....##.#.#.##....#..###..##.............#.#.#.##..##..#..##.####.##..##..#.....######....#.####..##.##.###.#....###.###.#####..##...........#.#.###....#.###.##..##.#.##.##.#.#.#.##.#.##.#####.#.#.###.######.#.##.##.#.....#.##...#.#..###.#######..##.##.##############.....#..#.###.#.#####.#...##.#.##.#....#.#.#....#.......#.......#.#.#######..#.#.#.#.#.##.####.#..##......####
#.#.##..##...#.#.##.#.##.#.#####.#..##.#.##..##.#####.#.##.##.###.#.#..##.##.##.##...##.....##..##.#.###.#.#######....##.##.########.##..####.......##..#.#.##.###.##.#...######...###..#####.##..#.#.#.######.##........................##......#.########.####.##.....##...##..##.##.#.##.##.#######...##...#.#....##.######.#..#####.##.###.#.##.##.##...#.###........####.##.#.#.#####...#.#.##..#.#.##....#
#.###..#####.#.#..###.#..###.....####..#.##.###.##....####.##.##..###.##..##..####.#..##.#.###.#########.#.#.######.#.##.##.#.........##....###.#####..##.#.##...####.###......###..##.###.####..##.#.#.....##.##.##.#.##.###.###.##.#.#....##.#.#.##.#...#...##.#..#.#..###.##.##...........#...#.####.####.##.#.#.##.......#.#.###....##..##.#.##.###############.#.##.#..####.#.#.....##.##....########..####
####..##.#...#.#.##...##..##.###....##.#.#....###..#.##....##..##..##..##.##.##....#.#####...#......##............#.#.#..##.##.##.##.####.#.###....###.##.#.####..#.###############..###...#.#..###.###.###.##.#...#.#.##...#..##..#######.#######....#.#######..##.####...####.###.#.#.###.##.###.#.####.##..#####.###.#.#.####...##.#..#.##..#.##...............#.#..#...####..###.#.####....##........##.####
##.##.##...#.###..###..##..#####.##########.####..######.#.##.###.##..###.#..##.#.##..##...###.##.###..######.##.####.####..##.##.#....##.#.#...#.##....###....##....##..#..####..#.######.#.#####..#.....#..####.####.#..########......##.......##.#........###.#.....#######...##.#.###........#.#.#.#...######.....#.#####.##########.#.###.#.#..##.#.#.###.#.#####.#.#....##...#.#..#.###.####.#.#.#..#....#
#.....##.#.#..###.##..##..##...........##...##.#.##......#.#..#....##.#...#.##..#..##..###.#####......#################....##..#####.#########.##..#.#######.#..##.#..#.##.##..#.#####.#.#.#.###.####.#.#.#.###......####.....#.##.#.######.#.##.##.#.##.###.#.#####.#.......###.##.#...###.####.........#......#.###.#...........#..#.#.#..##.###.##..###...#.#.###.#.#.#.#.##..########.###....#.#.#.#.##.##.#
#.##.##..#.#.##...###.#..###.##.#.##.#.##.#.##...#######.####.##.#.######.#.######.#..##.......##.#.#.............#.#####.####.#..........##....#.##.......#.#.###.##.......##.#.#.#.#.#.#.#......#####.#.#.#.##.#.#####..#.#....#.#......#.#########.##...###.##....#.#.#####...##.##.##......#.#.#########.###########.#.#.#.##...##...#.##..##...##...#.#####..#..###.#######..#.####....##.#.#######.##.##.#
#.#...##.#.#.#..#...####.##..#..#.##.#.#..#.#..#..###.....##..##.#...##...#..##....##..###.######.#.##.#.##.##.##......##...####.#.##.#.#..##.#.#.##.##.#.####...#.##.#.#.#..................##.#.....#####...##.#..##...##.###.##.#.#.##.#.....#.###.#..####...####.#.#.....##.###.##..##.#.#####.........###.#.#.....#.#.###..##.#####.###..##..#..#.#.#.....##...##....#....##....#.##.#########.######..##.#
###.#.##.#.#.#.##.###....#..###.###..#.#.##.##.##.#...#.#..##.##.#.#####.##.###.######.#.....##.###.##.######..#..###########....####.####.#..#.#.##..###....###.#..###.###.##.#.#.#.##.#########.#.#....##.#.##.#.##..#.##...#..###.#.##.#.###.....#.##......######.#.###.#.##...#####.#..#.....#.##.#.######.#...##.##.#..###..#.##......##..##.##.###.#.#######.####.#...#.##..##.......##.#.#....#.####.##.#
#...#.##.#.#.#.##..###.#.##.#.....####.#.#..##.#..#.###.##.##.##.#....##.##.##..#......#.#.#......#.##......##.##...........###.###.....#####.#.#..##...##.########...###...##.#####.##........######.##.##.####.#..##.#.##.##########.#..#...##.#.##..##.##.####..#.#...###..#.#....##.##.##.#.##..#.#.##.#.#...#..###..##...####..#.##.#.##.###.##...#.#..###......##.#.###.##.##..#.#.#........##.....##..#.#
#.#.####.#.#.#.###..##.#..####.##.####.###.######.#.##..##..#.##.#.#.######.##########.###.#.##.#.#..##.######.##.######.########...#.###...#.###.####.###.......##.#...##.##......#.##.#.###.##..###..###..##...#.#####..#.##.##...####.##.######..#####..#......##.#.#...##.###.########.##.#..#.####..#.#.#.#.#.#####.##.#....#.##..#.#..####...##########.###.#####.#...###..##.####.##.###.#..#.#.#..######
###..#.#.###.#..##.#####.###.#..#....###....##....#####..##.#..###.#..##.......#.##....#...#..#.#.#####......####......#.##....###.##.....#.#..##.#.#....##.#.#################.#.##.#..#..##....##.#####..##..#.#.##....##.......#....#.##.###.###.....##.####.#########.##....#...##......#.####....##.......######.....#####.####..##.#.####..#.....##.##....#.....#####..#####....##..#...#.#########...#.##
#...##...#...##..#...##..##....###.#...##.#####.#.#.....##..#.##...##..###.#.###....##.##.#####.#..##...#.##.##...###.##.#####.....#..#.###.##..#.#.###.###.#.......####.##.#######..#.##.####.#........##..##.###..###.####.#.############.......#.######...##...#.....#..#.####.#.##.##.###....##.####.#.#.#...##.###.#...#####.########.#....###.##.##....#.##.##.##..###....##.##..##.#####.......#.#####..#
###.####.###..##.###.##.##..##...#####.##....##########..#.##..###..##.##..#..##.#.######...##..##..#.#.#..######...######.....##.###.#..##.##.##.#..##.#.###.#.#.#...............##.#..#....#.##.#.##########.##..####..#.#.#...#.....##...##.#.##.####.######.#...##.##.###########..#....##.#######.#.#.#####.....####.#........#.#.#######.##....#....##############...#.#.##...##.#......#.#####......##.##
#....##..#...###..##.#..##.##..#..#.####..####...#....#.######.##..###..##.#.###.#.#.#....#.##.##..##.#.##....###.#..#...#####.#####..#.##..##.##...##.....##.#.###.##.#.####.#.#..####.#.##.####.#.##.#...##...##....####.#####...##.##..###..#..#...........####.##..##.#.##...#.###.#.#.##...##.....#.#.....###.#....#.#.####.#........##....###.##.##....###.##.#.#..########.#######.#.###.....#.#.####...#
#.##..#####.##...######..#####.##.....##.##..###.##.#......#.#.#..##.#####.#...#.#...###.##.#..##.#########.###...##...###......##...##..#.##..####.##.######.#...#.##.#....###.#.###.#.###...##..#......#####.##..##........##..#.######...##.#.##.#.#.##.##....#.###.##....#.###...#####.##.#....##.####.#.####..######.#.####.#.###########.##...##..##.###.#.##...#.###.#.##......##..#...##.######....###.#
#####..##....###.#..##..###....###.##..#####..##....##.#####...#.###.####..##.##.##.###...####..#......##.#...###.######.##.#.#..#.#..#.##..##....####...##.#.##.#####.##.#.#####.....#...##.####.#.#.##.....#..##.##.##.#.#..##.#...#.##.####.#..#####.##.####.##...#.##.##...###.#..##....#.#.#.##...#####..#.##..##.##.#....#.#...........#####.##..###.#......#.###........#.#.#.####.#.#.##.....#####.....#
#.....##..#.##.....####.##..##...#..##.....##....#.##.....###.##.##.......##...#######..#.##...##.#.##....##.##...........###.####.##.#..####..#.##....#....#.#......#..###.....##.####.###.....#.#.#.#####.###.##.##.####.##..#.#.#...##....#.##.....#.#.....###..#.###..##.#.....#.##..#.##.###..##.##...##....##.....#.#.#.#####.###.#######.####..###....##.#.......#.##.#.#######.#..#.#####.##.....#.###.#
###.#.###.#.##.##.##.....##.##.####.##.######.##.#..##.##.#....#####.##.#..##.####.....##..##.###.#..##.#.#..##.#.##.##.####.....#.#..##.##.#.##.#..#.###.#####.#.##.#.##...#.###.....#...#.##.####.#...#.###.###..##....#.###.#.#.##.###.#.##.#..#.###.#.###...########.##..#.##.#####.##.##..###..#....###..#######.#.###.#....##..##............##...##.#..####.#.############..##..####...#.#.##.#.###...###
###.#...#.#.#..##..###.######.....#.#....##...#..##.##.##.#.##..#.#####.#.##...#.##.#.##..##....#.#.#######.##..#.##.##....##.#.#####.##....#..###.##...#..#..#.#..######.#.#.#########.#####.....###.#........##.###.#.##...###.####...###########..####...###...#.##.####.##.##.....###..##.##...###.#...##..##...#.#...#.#.##.###..######.#.#.####.#..#.####....#.#.#.#..#.##..##..#####.#...#..#########.###
#...#.#.#.####.###..##.###....##.####.##..##.###.##..#.##.#.###...#.#.#.#.##.#....#.#..##.#..##.#.#....#.####..##.##.##.#.##..#.#..##.##.#.###.#...##.#.##...##.##......###.#...#...##......#.##########.#####.##.#...#..##.####.#....####.#.###..##....######..#.......##..#####.########.##..###...###.#####....#.#.#.#####.##..##.####.####.#..##..#.##...####.##.......##.###.###.##..#.#.#######.#...##...#
##.##.#.###......##.####.####.#....##..##.#...##.##.##..###.#...###.....#.##.#.#.##.#.##..##..#.#.#.##......##.##.##.#..#.##.##...##...#.#.#.###.#..###..##.#####..##.#..##.#.#.#.#..##.#########....##.....#####.##.#####.....######..........#.###.#######.######.#######...##........##..##...##.####.#...##.#.#.#.#.....#.#..##..#.......###.####.#.####....#####.##.###.............##.#....#.#....########
##.#..#.##..##.######.#.......####..#.##..##.##..##.######..#.#.##..###.#.##.###.##.#.##.##..##.#.#..##.#.#.##.#..#..##.#.##.##.#.####.#.#....#####.######......#.##..####..#.#...#####.##.####.#.#######.#...#.#.#..#.#######..##....#.#.#.##.....###.#..........#......##.#..##.#.###..#.####.##.....#...####.#.#.#.#.##.####.####...#.#########.##.#..#########.##.#....#.#####.##.##..#.#.##.....#.##......#
#..##.#####.#..##.###...#.##.##....##.###.#...##.##..###.##.#.#.###.#...#.##.#...##.#.#..#..##..#.##.##.#.#..#.##.##.#..#..#.#..#..##..#.##.#..##...#.##.###.#.######....##.#.#.#.....#.....#.#.#.##...##.#.#...####...#.#...######.#.###.#.##.#.#.......######.#.#.####..###.##..######.####...####.#.#.#....###.###.#..#...##...###.##...##......##.##...######..##.##.#....#######.##.##.#..#.#.###....##.#.#
##..####..####.##.....#.#.##.#..#.###..#####.##...##.....##.###..######.#..###.#..###.#.##.####.#..#.##.####.###...#.##.#.##.##.##..##.#..###.#####.......####.....##.##..###.#.#.#.#.##.##..........######.#.#####..#.....#....#.###...###.##.#.##.#.##..#########....##..##..##.##...####.#.#...##.#.#.##.#...#.##..#########.#.#....#.###..###.##..##.#........###.##.##.#.......#########.##.####..#.#######
###..#.#.##.....###.#.###.#..##.#...##.#.##...###..##.#####.#...##......##.##..##...#.#.##...##.#.##.##....#...##.##.#..#.#####..##.#..##...#..##...##.##....##.#.##...####...###.#.#.##.#..#.###.#####.#...#.....##.#.#.####.#...##..#.######.#.##.#.###......#.###.####.####.##.###.###...#.#.#..#.#.#.######.#####..#......#.####.#.#.....########..###.##.###.#.#..#.#####.########.##.####.....##.#......##
#.##......##.####...####..##.#..##.##.....#####...##......####.####.#.###...#.####.####.#..#.##.#.##.##.#.#######.##.##.#..###..######.###.##.##..#..#.#..#.##..#..###....#.#..##.#.#######.#...#.......##.##.#.#.####.#...##.#.#..##.#......#.#..#.#...##.#.#...#.####.#....###..........#####.#.##.#.#..#########.##...#########...###.#.#........#.##....#...###...##....##................#####.#..#.####..#
#....#.#.######.##.##....##..##..#..##.#.##.....#.##.#.#.##......####..###.##...##.#######.###..#.##.##.#.....#.####.##.##.#...####.....##.#...##.#.####.##..#.##.##...#.##.#.###.#..#.#....#.#.#.##.####...#####...##.#.######.##..###.###.##.##.#.#.#..###.#.###......#.##...##.#.#.#.#...#####..#.###.##.#.##....##.#...#.#.#.#####...###.##.#####..###.###.######.###.#####.##.#.##.##.#.##.#####.##....##.#
####.#.#.##.........##.#..##.#..##.##..#..##.####.####.#..##.##.##.##.##...#..#.#...#..##....##.#.##..#.#.#.#.#.##...##.#####.##.#..##.##..##.#####.#..#..#.##.##..###.#.####...#.####.##.#.#.#.#.##....##.###.##.###..#.###.####..##.....###...#.###.##..####.....#.#.##..##.##..#.#.#.#.#....#######......#.#..#.##..##.##.........###...#..#...####.##....#......#..##.....#.##.############....######.#..#.#
#....#.#..#####.#.#..####.##.##..#..##########......##.#####.####......###.##.#.###...####.#..###.#..##.#.#.#....#.#.##...##..##...##...##..#.#.......##.##..#.#..####.#...##.######.#.##.###.############......#...##.#........##..#.#.#######.#.##..###....#.##.##.#..#########.#.#.###.##.#.......###.##.....##..##.##....##.#.#.##...#.#.##.#....######.######.###.#..##.##.##.###.##.#.#...##.#.#.##.######
#.##.#.#######..###.##.....#.#..###.......##...#.#.###.##.......##.##.##....#.#...##.#####.##...#.##.####.#.##.###.#..##.####..##.###.#..##.#####.#.######..#####....#.#.#.#..##.##.....###............##..##.#.##.#####.#####.##..####...#.#####..##.#.#.####.####..####....##.#.#.#.#####..###.#####.#.#..##.####.#..##.##..#####.###.##.#.#..##########.......#...####..#..####......#.#...#..#......#...#.##
#.#..#.##......##...###.#.#####...#.#.#.######.#.#...#######.#.###.#...###.##.#.#.#....##...#.#.#.##...##.#.#....#.#.##..##.#.##..##..##.######...#......##...#.########.#.##.......#.#...###.##.####.####..###..#.....#...#######.##...#...#...####....#.####....##....##.###..#####.....##...#...##....##..#..#.####.##.###....##..##.#######........##..##.#.##.#..##..#####....######.#.#######.#####.#....#
####.#..####.####.###...#.....##.##.#.#.########.#.#..##.#...#.##..##.###..##.#.#.#.#.##..#.#.###.##.####.#.##.###.#.##.##....###..##.#.......#.###.#########........###.#.##.#.###.#####.#...##..#####.###.##..###.#.##.#.#....##.##.#.###...#######.#.#....############....##.##.#..#.#####.###.##..#.####.##...##.###....####.##.##........##.#########..#.###..#.####....##.##................#....#####.###
###..##.##...##.####..#.##.#####.####.#...##..#..####.##...#.###..###.##..##..#.#.#.#..##.#.#.###.#.....#.#.##...###.#######.##...##..##.########.....#.##..######.#...#.#.#..#...#....######..##....##.#.#######.###.####...##########.##..#......##.#.##.#.....##.###.#.#####....##.###.#.###.#.###.####...####......##.####.####.##.#.######......##....##...##.#....##.######..#.#.#.#.#.###.###.#..###....#
#...########....###..##.##..#.#...##..#.#..##...###.#.##.#.#...#.##....##.###.###.###.##..###...####.#.####.#..###.....##.....##.##..##.........###.#....#.####.####.#.#.#.#.##.#.##.###.#..##.####.###....#####....#...##.#......##.....##.##.#.#..#.#.#..#.###..#.#...........#####.......###....#####.###..####.##.##...#....#.####.#......####.####.#.########.##.###...#.##..##.#.#.#.#...#...###.##.######
#.#...###....##...##.##.#..##...#.##.##.####..#.##.....#.###.#######.####..##..##.##...##..##.#####..#..##..##..##.#.#####.#.##...##..###.##.##.#...####..........##.###.#.#.#..###......#.##..#......#.##..##...##.#.###..#.#.#####.#.#.##..###.#.####.#.##...##.....#.#.####.###....#######.####...##..#.##...##########...##....#.####.#.#....#....###.#......#.##..##.#....##.####.#.#.#.#.#.#.##..##.#.#..#
#.#.#...########.##...###.#####.#.#..##.##.#.######.#.####......##......##.##.#######.##..##......##.#.##..##..##..#...#.#.#..##.####.#....########...#####.#.##.###..##.#.####...##.#.#...######.#.#....##..#.###########.#.#.....###.#..#.##...#..#######..####.#.#####.######.####...#......#.#.####.##.##.#..........##.##..####..##..#.##.#.##.#####...#.####.##.###.#.##..###.##.#.#.###.#.#..##........##
#####.###.....#..##.###....##...####.##.##.....##...#..#####.##.##.#.#.###.#......##...##.######.###.#.###.##.####.##.##...#.##....#####.#.######...#....##.####...#.#####...##.#..#.###.#..#.#.###.#.########.#.#.#.#..##.#.#.#.#...#.##.#..#.#.##.....####....###...##......##.#.####...#.##...#.........##.#.##.#.#.####.###......####.#.##.####...#.##.##....####.##..#..##.#......###...######.##.###.#.###
###.....##.##...##....#.#.#####..##..##..##.##.##.#.#.##.....##.#..#.#.#...##.##.####.##.......#...#.#..##.##.#.#######..#.#.###.#.#.....#...##...#.#.##..#....#.#.#...###.#..#.##.#.##..##......####.###..........#...#########.##.####..#.##.#.#..#.###....######.#..#.#.##.........##.##..#.#.###.##.#.###.#..########.#...###.#.##....####....#.#...##.###.#.##.#####.#.###.##.#.#.###.####.#.#######..###.#
#.##.#########.##..#.##.#.######..##.#..##..##..#.#.#.#..###..#.##.#.#.#.#..#.##...######.####.#.###.#.##..#....#.#.##..##.###...#.####.##.#..###.#.#..##.##.#.#.#.#.#...#.##.#.#..#..##.##.##.#..##......#.#.##.#...#.#...#####..######.##..#.###.##...#.##......#.#.##.#####.#.#.#####..#.##.########.#.##..##......#...#.#...#.######.##....#######.###..##.#.......##.#...#.#..#.#...#......#..##.#.##.....#
#........##....#####..#.#..##....###.##..##..##.#.#.#.######.####..#.#####.##..#.#...##......#.#..##.#.##.###.#......##.##.##..#.###.##.##.##.##..#.##.##.##.#.###.#.###.#.######.##.##..#..##.######.#.################.###.#.##.####.#######.#...##.#.#.#..######.#.##...##..#.#.....#.##..#........###..##.##.######.#######.#..#.#.#####.#.......###.#.######.##.#..#.##.#####.###.#.#.######.###.#.##.#####
###.#.#.####.#..##...##.#.####.#.##..#..##..##..#.#####.........#.##..##....##.#.#.#.#..#.#.##.#.###.#.####...#.#.####..#..##.####.......###..###.#.##.##..#.#..##.#...###...#.#########.#.##....##.#.#..#.#.#.##.##.###.......####.#...#.##.####.##..#.####......######.#..##.#.#.#.###..#.###.#.###...##..###....####.##.#.#####.....##.##.#.#.###.....#.#....#..###.##.##..##....##.#.#...............#.....#
#...###########..##.#####.#....#.#..##.####..##.###..###.#.####.#.#..##..#.###.###.####.#.#.######...#....###.#.#...######..#....###.#.#...##..##.#.#...#.####.##..###..##.#.......##.#..#####.#.#....##...............#.##.##...##...###.....#.###########..#.##.##.#.#.#.##..#.###...######.###...#.#####...##.#.........#.....#.#.#.....#.#.#...##.##.#...##.#####...#..##..##.#.##.###.#.##.#.##.#.###.#####
#.#......##.#.#####..##...##.#.#.##.##....#.########.....#....#.####..#.##...#.##...##..###...#.####.##.#.#...#.##.##.##.#.##.#.##...#.#.#.##.#######.###....#####.######..#.#.###....#.##.....###.##.###.#.#.#.########..####.#.##.#.....#.#...##...##.....##.##......#.#..##.#...#.#.....##.###.#.#.##..##.###.#.##.#.##...#.#.#.#.#.##.####.###.##..###.#..####..##.##.####.##.#..#...#####..#.##.#...#..##.#
###.#.#.##..........###.#.##.#.###..#..#.####..##.######.#.#.##.##.##.####.###.##.#..##.#...#....##...######.##.#........#.##.#.####.#.#.#.##......##...##.#....##....####.#.#..##.#.##.###.##..##.##..##.###.#######.##.###.#####..#.##.####.#....#..##.#.##...#.########.#####.#.#.#.#.#......#.#.#....##....#.#..###..##.####.#.#.###....##...#####...#.##.##...#####.....###..##.#.#.....####.####.#.##....#
#...###..#.#.#.#.##.##..#.##.###...##.####.###...........#.#.##.#.....##.....#.##.#.##..#.#.#.#.###.#...##...##.#.##.#.#.#.##.###.##.#.#.#..##.#.#..######.#.##.##.##....#.#.#.##..#..#...#.###..#..##.##..##..##............##.##.#######.##.##.#.#.##..#.##.#.#.......##....##.#.#.#.#####.#.##.###.####..#######...##..#....#####...######..#....##.###.#.....#....##.#.#.##..##..#####.#.##.....##.######.##
###..##.##.#.###.##.##.##..######.##....##.....###.#.#.#.#.#########.##..#.#.####.#######.###.#...#.#.#..###.##.####.###.#..###......###.#.###.#########.#####...###..########..##.#.##.#.#..#####.###.###..##....#.#.##.#.###...........#..#..#.###..##.#..#.####.###.###.#.###.###.#.....########.....###.....##..#.#..########..#.#..###.####.####....######.####.##..#.#.###..##.....#######.#.##..##...#..#
#...###..######..##.##.#######.##..##.###..#.#.##..#.#.#.#..##.##.....####.#..##...#.#.##..##.##.##.#.#.###..##..##....###.#######.#..######....#.#.#.....#.#########....##..##.##.######.#.##.....#.....##.##.########..#.....#.#######...##.##...##.##.####...##.#####.#.###....####.#.#........###.#...##.#.####.#.##......#.#.#####.......##..####.#..##.......#..##.#.#.#...####.#####.##...#####....###.##
###...##.#......##..##...##.......##....##.#.#..##.#.###.##..#..####.##....######.##......##...####.#.#...######..##.####.....##...##....##..##.......#.#..........##.##....#####...##.##.#.##.##.###.#.#####......#..#.##.#.###.....###########.####.##..###.#.##.......######.#....#####.####.###...#.#..###...##.#..##.#####......##.#.#.#######..####.##.#.##.###..###.#.###..##....#...##.#..##...######..#
###.#########.####.###.#.########..##.#.##.#.#.##..#.#....##...##....#..##....#.#..####.#..#.#.##.#####.#...##.#.##.....#.##.####.####.#####.###.#.##.#.#.#.#####.##...####.#...###.....#.#.#..##.#...#.....##.###...#####.#...#.###...........#....#..##...#.#.##.#.#.#..##.####.#####.#############.############..##.#..#####.#########.####..##..###.###..#.##...#.######.#...####.#...#######..###...##.####
#.......#.#......####..#.#........##..####.###..##.###.#.####.##..##.#.##..#.##...##....##.#.#.....#.######.##...##.#.#.#..###..###.#.....####...#..###.#.#....#######.##.###.####..#.#.#.#.##.#..##.##.#####....###..##.#######...##.#.#.#######.#.######.##.####.#.#.##..#..##....##.............##.........#####.##.##.....#......#.#####.##....###...##.##..##.##....#######.####.#.#..#....####...#.......#
#.#.#.#.#.####.#.##.##.######.##.###.###...######..##..#...##..##.#..###..##.##.#####.#..#.###.#.#.......##.##.#..#.#.#.#.#####.###...#.###.####.##...#.#.##.###.#.###.....##.##.##.###.#.#.####.##..##.....##.#.######...#.##.########.#.....#.########....###....#.#..##...###.##....#.##.##.#####..##.##.#....##..###..#.#...#.####..###...##.###.#.###############.#....##....##..####...#.###...#.##.#.####
#.#.#.#...###..####.....##....##.#.....###......##..##.##.##..#####.###..##...#...##..##.#.#...#.##.##.#..#.#..#.##.###.###.........#.#..##.......#.#.######.........###.#.....#..#########..#######.##.#.######........###..........##.##.#.##....##..##.######.#.#.#.##..#...#.##.##.#######.....##.#######.##..##.##..####.######...##.#.###.........#..#.##.#.#.#####.#######..##...##.#.#...##.##.##.#....#
#.###.#.#.#...##....#.#..##.#.##.##.#.##...#######.##..#..###...##..##..###.#.#.#####.#..###.#.#..#..#.##.#.##.#.##...#.##..#.#.#.#.#.#.##..##.#.##.#.##.....#.##.#.####.###.#...###......####.......##.#......##.##.##.....###.##.###...#.#....##....##..###.####.#######.##.##..#.##.....##..#.#..#......##..##..#####..##..##.#.#.###........##.##.###.##...........####.#..##.##..#..#####.###..##.#..#.#.##
#.##..#.#.#.#..####.###.#####.##.#..#.##.#....##...######..##.#####..##.##..#.#.##.##.##.##..#.#.#############.#.##.#.#####.###.#.#.#.#.#..##..#.####..###.#.#.##.#....####..###..#..#.#.##..####.##..#.#.#.####..####..#####.####...#####.#.#.#####.####........#....#.##.##.##.##.##.#####..####.##.#.#.###.#######....####............#.#.##..########.#####.######...##.#.##...##.##....##..###.#####.#.#..#
#..##.#.#####.##....##....##..##.#.##..####.#.####..###.#.##...#.#..##..###.#.#.....####.###.#.#.....##..##....#..#.#.#.....##..#.#.######.###.#...##.######.#.##.#.##....##...##...########......###.#.#.#....##....##........#.###.....#.#.####..#....#.#.#########....#.##.##..#.#.....###...##.##.#.####........##.#....##.#.##.################.#..#..##.#.....#######...#######..#.#.##..##.#....##.###.##
#####.####....#####..##.#.###.#..#######....#...##.##......#.#...##.###.#...#.#.#.#.###..#.#.#.##.######..##.#.#########.#.####.###.##.##..#...##.##.......#.###..#..#.#.##..#..#.#...##..####.#.##...#.#.#.#.####.#..#.##.#.#....##.#######......###.#.###...###..###.#.#.##..##.#.##.##..###.##...###....#######.##..#.#.##..#.#..###.#.#.##..##.#...##.##..#.#####.#.#.##.##.###...########....#.#.###...#..#
###....##..##..##...###.###...##..##.###.##.#.###...##.##.####.#.##...#####.#.#.###.#...##...###.........##..#....##.#...#.##....##.#..##.###.##...##.#.#.##.##..##.#######.##.####.#..##.#....#.####.###.###.##...#.##.##.#########.....##..##.#.#.###.#...#...#.##.#########..#.####.###..############.#......########.#####.####..........#.###...###...##...........#.#.......#.#.#....##..#.##.#...##.##.##
#.##.#######..##..#.##....#.####.###.#.######...##.#####....####.###.##.....#.#.###.##.#####..##.##.#.##..#.###.#....###.#..###.##....###.#....##.##..#.#.##..##.##.......#..#....#.##....##.#.###.#..##....#..##.##..####.........#####..##..#.#....##.#.#.#.#......##....##..######....##...#.#.#...####.#.##....#...####....##...########.......###...####.#.#########...#####.#.#...#.####.####.##.###.##..#
#.#...##.####..##.#..##.###.#...........##....#..###.#...##.#......#..##.#.####...###..##....##..####.##.########.##.##..#.###...##.###.#####.##...##.###.######.#..#.##.##.##.#.##.#..##.##.#.###...##..#.#####...#.##....##########.######.####.#.#######.###.#.##....##..##...##...#.#######.#...#...####..######.####...##.##.#.......##.###.#.....#####..###....#.##.####.######.#.####......######...##.##
#...####.#.#..###.#.###..######.##.###.##..##.##.###...#..#####.##.####..#..##..#.####..##.#.###....#.##.#.#.#..###...##.###.##.##......###....##.##..#......#.#.##.#######..#.#..####..#.##.###.###..##.#.....##.##.##.##.###.#........#..#...##.#..#..##....#.#..#.##..##..##.#####.#....#......#####....##...........######.#..#.#.#.#..#######.#.#..#..##.####.###....##.......##.#..#.###.##.##.#####..####
#.#.##.......##...###.#.##.#....##..##..##.##.#....#####.###....##..##..##.##..##...##.##..#..##.####.##.......######.##.#......##.##.#.#.###.#######.#.#.##...#.#...#.##.##.#.##....##.#.######.#...##..#.###########..#........###.##...##.#..#.##...##..##.###.##..##..##.##.##....#.####.#######..##.#####.#.###.#.##......##.#.#.###.####...########.##...........##....##.#.##..##.....#.##........##....#
#.#.#..#.#.#..#.#.##....##...##.###..#.###.##.##.#.#.....##..#.######..##..##.##..#.##.##.##.##....##..##.#.##.##.#.#######.#.#..#.##.#.#.........##..#.#.##.#.####.##.#...#.#..#.#.##..###.#......#..##.#..........##.##.#.##.#...#.###.########.##.#####..###....#.##..#####...######..............##..###.#.#.###.#####.##.#####.#..##......####...#.#....#.##.#.####..#.##..#..##..##.####..#.#.##.#.##.#.##
#.#.##.#.#.#.####..####..###.##...##.#.##..#..##.#.####.####.#.##.#...####.##.###.#.##..####..#.#.####.##.#.##.........##...#.##.####.#.##.##.#.#..######..#.#..##.......###.#.####..##.#...####.#.##.##.#.#.#.#.##..#..###..###.###...#..#.#..##..#.....##..###.#.#####..#.#..#...###..#.#.#.######.#####.#.#.#...#...##...###.....##.#######..#.#.###.#.####..#.#....#.##..########.##....##.##.#.##.####.#..#
#.#.#..#.#.#...###.##...##...###.##..#####.#.##..#.##...##...#.##.##.###...##..##.#.##.###...##.#....###..###..#.##.####..#.#.##....#.####.#..#.##.....##.####.####.#.####...#....#.##..###......#.##.##.#.###.#.##.#######.###..####.###.....####.#.######.##.###.....##...#.##.#.#...##.###......#..#.##.#.####.##.######..####.#.##..#######.............##.####.####.###..##.##.##########..#.#.##....#.#.##
#.####.#.#.#.#.#.#..##.##..#.#.#..##.....###.##.#####.#..#.#.#.#.......##.####.#..#.##...###.##.##.######..###.#.##....##.#.#####.#.#.#....#.##.##.###.##..##..##...#..#####.#.#.##..##.####.##.########.#...#.#.##..####.....##...####.#.##.##.####.#.##.......##.#.#.##.#.#.##.####.###.#####.#####...#......#####..#.##..##.##.#..##.......#.##.###.##.###....##...####.##.#..#....##.###.######..#.#.##.#..#
####...#.#.#.#.#.##..#..######...###.##.###..##..##.###.######.#.##.##.##.##.#.##.#.##.###...##..#......##..##.#..#.#.##..#.###...#.####.#.######..###..#.####.##.####.....########.##..#..####...##.....#.#####..##....##.#.##..#......#..#.......#....###.##.##..###.##.###..#.##.....#.....####..#.###.######.#.##...###.##....##.#..#.##.##.##...#.##..#####.##.#......####.##.#####........##..##.#.##.####
#....#.#.#.#.#...##.##.##.#.###.##...#####..##..##..##...##.#..###...#..###....#..#.#...####.##.##.#.#.####.##.##.#.#..######...#.#.#..###.###.#####...####....#.....##.#####.#.##...#####......#.#..##.##..#.###.##.#.##..#.###.#.##.###.#####.#.###.####...#..##...###...##.####..#.#.#.#.#......##.....####......#.###....#.##.#..#.##.##.##.##.#.#..##.....#.#####.###.#.##..........######..#.##..#.##....#
##.#.#.#.#.#.##.###..#.#.........#.#...##..##..####....####.#.##...#.#.#####.###.##.###..##..##.##.#.#...##.##.##.########.#..#.#.#.##...........##..#...###.####.#####....#.....#.###...###.#.#####..#..##.....#..#.#..##.#...#.#..####......#.#.##.....##.###.#..#..####.##...#####.#####.#.#.#.####.##......##.###...###.##..#.##.#..####..#..#####.###.#.#.#....##.#........#.###.####...#####..##.###..##.#
#..#.###.#.#.#....##.#########.###.#.###..####...###.####.#...##.#.###.....###....#.#...####.#...#.####.###.##.##....##......##.#########.#.##.#.##.##.#..##.###......#.##...#.#########.###.###...#.###..##.##.##.###.###.##.##.##.##.##.#######..##.####....#.##.##....#.#..#..##....#.####.######.#..##.#.#.########.##..#..#####.##..#.########.##.##..#.#.#########.##.##.####........#.....#####..##.##..#
##.#.##..###.#.##.####...........#.#...####.##.###...##.....####.#.##..#.#.#...#.######...##.#.###...##...###...##.######.#.##...#.#.#....#.##.#..#.##.##..###...#.#.##.##.#.####.#...##.......#.#....##.##..#######...##...###..##.....#....#.#####.....##.###.##.###.#####.###..####.....##.###..#.#.#######........#####.##.##.....##...###.##....####.####....##.######.##....###.#.####.#######.#.##..##.##
##.#..##..##.###.....####.##.##.#####.##.##.##.#...#..##.##..##..#####.#.#####.#.##.....#.#..#..##.###..#.#...###...##....#..##.##.....#.##.#####.#.##.##.#####.##.#..###..#........#..####.########.###..##...##.###.####.#####.##.##.#####.......########...####..##...##...##.##....#.####...##.#.###....##.#.#.##..##.###...##.#.##..#........######....###.#..#.#.###..#..########....#.##......###########
#..##.#..######..#.#..##..##..#..###.........#.###.#####..##..##....##.####..#.#####.#.#####.##.#....#.##.#.#..##.#..######.#####..#.#.#.#......#.#..###..##.....#.#.#####.#.######.####.......##.#....#####.#.....##...##....########...###.#.#.###......#.#....#.####.####.###..###.##.##.#.#......##..#######.########.#...#.#..#####.#.#.#.##....#.####...####.......##.##........#.#.#####.########.###.###
#.######.##.....##.##.##.##..##.##.##.###.#.####.....#.#.##..###.##.#.....##.....##..#..##....#.#.######..###.###.##..##........##.#.#.###.##.###.##...##..#.#.#.#.#.....#.#...#######.####.####....##.....####.##.##.###..##.#.##.#.###...#.#.####..#.###########.#.#..#.#....##.#....#..#.###.#.##....####..##.....###....#.###.###....###.#..####......##.###.###.#.#.##.##.##.#.###.#.###.#.#.#.##.#......##
#.....#######.#.#..#...#####.##.#.......#.###.###.##...#..##.##...#.###.###..#.#..##.##.##.#.####.###..#.###..#.#.#####..#.#.####..#.#.##..#..#####..#####.#.#.#.#.#.#.#.#.#.#.....##........###.##..#.#.#....#.##..#..##.##.....#....##.###.#..#.#.##..#..#.##.####.##...##.###..##.#.##...#####.###.#..#.##..##.##...##.#.#...#.#...##...#.##..#############.....#######..#...#.#..####..#........#....##.#..#
#.#.#.#.#.#.#.####.#.#.#.....##.####.#.####.......##.######...##.##..##...##.#.#.##...#.#..#.##.......##...##...#..##...##.#....##.#######.##.....##...##..#.###.#.#########.#.##.##..##.#.#.#...##.##.#.#.##.#..#.###..###..#.#...##.##...#.##......##...##..........##.##....##.#..###..#.....#..##.##....##..###..#.##.#.#.#.#.##.####.######....##.#.##....###.......##.##.#####....##...##.###...##..#.#.##
#.#.###.#......##..#.#.#####.#####...#....##.##.#.##......##.###..##.#..#.#..#.###..#.#.##.#.###.#.#.#######..#.##.#..#.##.##.###...##.....##.#.#####.####.#...###....#.#.##.#..#..#.##..#.#.##.##...###.######.##.##..##...##.#.#.##.###.##..#.##.########..#.##.##.##..##.#.###.##...#####.#.###..#..##.###..####.###########.#.##.#....#.#.#####.#.....#.########.########.....##.#####.###....#.#######.####
#.####....#.##..##.#####.##...###..#.##.###..##.#.#..######....##.#..##.####.#...##.#.#.#..###...#.###.##.###.###..##.#.#..##.###.#..###.#.##.#....##..##..#.###...##......###.##.##.##.##.#########...#....##...###..####.##..#.#..#...#..#.##..#..........##..#.##.##.##..#.#...#..######..#...#.##.##......##..#.......##....###..##.#........##...#.#.........##..##.##...#.###......#...###.##......##....#
#.##...#.##.#..######.#.....#.#...##.##..#####..#.##......##.#########..#..#.##.###.#.######...###..........#..##.##..####.##...#.##..#######.#.##..##..####.#####..#.##.#.##..##.##.##.#...##.......###.#####.#...##....#.###.#.#.###.#####..#.##.#.#.###.####.#.#...#..#.##.#.#.##......####.#.#..#####.#####..#####.##.#####..###.#..##.#####..##.##.#.#.#.#.#..##.....##.##...##.#.#####.#######.######.####
#####.#######.##..##....#.#.#.###.######.....##.####.#.##.#....#.##....###...##...###...##...#.#...###.##.#.####..##.##....##.#.#.#..##..###..#..#.##..##.##....###.#.########..#..######.#..#.#.###...#.....####.####.#.#..##.#.####......####.######...###.#######.#######..###.###.#.#....#.###.####...#####.##.#####....##..##...#.##.....##.########.###.#.##.##.#.#######.#..#.#..##.......#.#....#.#....#
#.......#.##.....####.#.###.#####.....##.#.#.##.##...#.##.#.#.##....#.######..#.#..##.#..#.#.#.##.###...###....#.###..##.#.#..######.#..##...##.######.....#.####...#...#.#.##.###..##.#..#.######...#.#.#.####.###..#.#.##.#..#....#.#.##...##.#.#.##.#####.#..###...###.###.##..#...###.#.##...#....###.....#........##.#..##.#..#.#..##.#.###.##.#...#..##.#..###..#...#.#.###.##.#.##..#.#.#...#.##...####.#
##.#.##.#....#.#...######...#.....#.#..#.###.#...###.#..#.#.#.##.#.##..##....##.##.#..##.#####.##...##.#####.#####...##..#.##..##..#...##..####...##...#.#.#...###.##.###.#.####.##..#.##########..#.#.###.......##.####.#####.#.####.#####.##......#####..#.#.##.###......##..####.#..##.#..##.###.####..#.#...######.##.#.##..##.#.#####.#...#..#...#.##.##.###########.......######..##.#.#.##.####..#...####
#..#..#####.##.#.###.#.####.##.#.####.##...####.##...#.##.###..#.###..####.#..#.#..##..#..##...#..###..##.#####..###..#.##.###..##...#..##..##..#.#..#.#.####.##.#.##.............##....##.#.#.#..##.#...##.#.##.....##....##..#....#####.#####.#.###.#.##........##..##.#####..##..##..####.##.#.####...##.######.#####..##########...##..###.##...########...........###.########..#.#####.###....##.##.###.##
##.##.##....##.#.#..........##.#....#..##.####...#.#.#..#.##..####...##.##.##.#.#.####.#.########...##......#...##...#######.#.###.#.#.##..#########.###...##.##...#..##.####.##.###.#.##........###.#.#..#.#.##.#.#..##.#####.#.##...........###..........###.#.####.#####.##.##..####...####.....#.##.##.............##.##.........#..##..######.##......##.##.#.###...#..........####..#....##.#.#..##......#
#...###..#.##..#.#.###.###.##..#.#.##.######...###.#.##.#..##..##..#.#..##.#..#.#.##...###.#......#.##.#.##...#.###.##...........###.#.#..####.........###.##..###.##.##....#..#...###..#.#.##.###.#####.####.####.##.##.....###.#..#.##.#########.###.###########.#.........#.#..##....###..##.##...##..##.#####.##.########.#####.#######.....##....#.#####.#..#..#######.#.##.##....##...##..#.#.##..###.##.#
#.######.#..####.#.#...##...##.#.#..#......###.#####.#..#.####..####...#####.##.#..###.##..#####.##.##.#..##.##...#.###.#.#.#.#.###..#.##.#.#..####.#.##...###..##.##.#..#.#####.#...#########......##.....##...####..##.###...###.########......#..##........#.##.###.#.#.#.#.#.######..##.###.##.#..####......######.#.#########.....#.##.###.#..#.##.....####.##.......#.###...#.#.####.##..########..##..#.#
#.##.....##...##.#.###.#..####.#.#.####.#.###......###.#####.##.##...#..##....#.#.##....##........#..###.######.#.###.###.#.#.###...##.#....##.###..######..##.##..#..#.##.....#.##.##...#.#.##.#.######.#.##.###..##########.##............#.#.##.####.#.##.##......###.#.#.###..#.####......####.##...##.##.#........#..##.......##.##......####.#..#.###..#.#.###.####.#...##.######.....##....###...##..##.#
#.##.#.#.##.#..#.#.#...##..##..###....#.###...##.#####.......##..##.##.###.#.##.#.###.#.########.##.##.....##.######...##.#.#...###..#.##.#.##.#.##......##.##..##.##.#..##.####.##..###........#...#.##.#.#......####.....######.#.##.########..###....#..#....####...##########.#......###.####...#.#..###..##.#.###...####.#.##.##.##.##.####.###.#########.#...############.......########.#.##.##.####..#.#
#..#.###.##.#############.####.##..####...#.#.#......#.#.#.#.###..#.#..##..#..#.#.#.###.#.........#.##.#.#.....#.#.#.#.##.####.##.#.##..#.#.####....#.##..#####.#..##.##.##....#..#.##...#.##.#.#.#....######.##.###...#.#.....####.####......##...#.#.##.###.#..##..#..#.#.#...####.#.#.##.....##.##.##...#.##..#.#######.#########..##.#.....#.###.......#.#.##.###.........#.#.###........###....##....#.##.#
#.##.##..##...##.............#..##....##.######.#.##########..##.#########.#.##.#.#.##..#.#.#.##.##..###.#.#.#.......#.#....####....##.####..###.#.##..##.##....#.##..#...#.####.##.##.#.#.#..#.#.#.#.######...#.....#.#.###.#.#.........#.#.###.#.#.#..#..##.######.##.......#...##.#.####.##############.#.##.##....#.......##.....###.#.###.....##.#.##......###...##.########...#.###.#.####.#.####.#.#.##.#
#..#.#..##..#..##.#.#.###.#.##.####.#..#....##..#.....###.##.##..##..###...#..#####....######.#...#.###..#.#.#.####.##.#.####.#..#.##.....#.##...#.##.#######.#.#.#..##.#.#....#.#####.###.#.####.#.#.##.#.###.#.##.##.#...#.#.#.#.#.#.#.#.#...#######.##.##.....#.#..##.#.##.#.######..##........#.##.##########..##...#.#.#..###.#.##..#..##.############.#.####..###.......####.###########...#...##.#.#.##.#
#.#####.#..##.#####.###...#.##.##...#.##.##..####.#.#..#...#.###.###.....#.##..#..##.#..##.#..##.##...##.#.###....######..##....##..#.#.#.#.##.#.#.##.##.#..###.#.##..#.#.#.#.##.....#####.####...#.#......##..#..#..#.#.#######.###.#####.#.#.......###..##.#####.####..###..#....##..###.##.###...............##.##.###.#.#.##...#..##.##..#............###.##.##.#.###.#.###.####.##...##.###.#.###..###..#.#
#.#.#.####.##..#.########.####..###.###...####....#.##...#.#.#.###.##.##.#.###.#.######.##...##...##.#####.###.#.###.###.#####.####.#.#.#.#..#.#.#..#..#...##...#.#..##.#.#.#..##.####........###.#.#.##.#######.##.####.......#.#....#.##.#.#.#####.###.##........#####..###.#.#.#######...#...#.#.#.#.#####.###..##...#######..#.##..#.##.##.##.#.###.####............#.#...#.........#....##..#...##..##.####
#.#......#..#.##......###....#.##.....#.#..######.#.###.####.#........#..#.#.....#.###..###.##..#.#...##.....#.#.......#..##.....##.###.#.##.######.##...#####.##.#.##..#.#.####.....#####.#.##...#.#.#........#.##....##.#.##.####.#....#####.....#...#.###.#####.....##...###.#.##......###.#.#.#.#.#.....#...##.###.###.#..####.##.##..#.##..#.#...#....##.#.##.########.#.#.##.####.###.###.##.#.###.#.....#
#.#.#.##...####..####.....##.####.##.#####...##...#...#..###.#####.##.##.###.#.#.....##.#.#..####.#.#..##.########.##.#######.#.##..#...#.##...##...#..####.#...#.#..##.#.#....###.###.....#..#.#.#.####.#.#.###.##.#######..#########.####..#.#.#########....############.######..#####.##...#####.#.#.#.###.#.#...##..#....##.##.##..##.#..##.###.#.#.##..###.#.........#.#.#.####.######...#.#..#..##.##.##.#
#.#######.##.###.#....#.#..#..##..#.....###.##..#.#.#.####.####....####..##..#.##.#######...##....###.##.....##.....###.....###..######.###..###..#.##......###.#.####..###.#.##...####.##.##.###.#...##.#.#...####.......##..##.#.#...##...####.##.##..#####..........#.####.######......#.#....##.###.#...#######..##...##.....#.##.#####.###########..#.####.#.####.########..##.......#.#.#.##.#.###.##.####
#.#............#####.##.#.##.######.#.###....####.#.#.......#.#.##...###..##.#.#......##..#.##.#.###..##.#.###..#.#...#.###...##..###.....##...##.#.#..#.#.##...#..####...#.#..#.#.#.#####.#...##.##.##..#.#.#..#.###.#.#####......###....#...##.......##.##..##.#######.##......#.##.#.###.#.#.###..##.##.###....#.##..###..###.#..#..##...........####.####.###..###.....#.##.##..##############.#...####....#
#####.#.#.#.#.##.....#..#.##.##.....#..####.##.####.##.##.#.#...###.##.#.###.####.#######.#.#..#.#...###.#.#.##.#.#.#....########...##.#.##..#..###.#.####.####.#.##.##.#####.##.#...#.##..#.#.##..#.#..##.#.##....######...##.#######.##.#.######.######.#..##..#.......##.#.##....###..##.#.###.##.##.##.....##.#..##...##...######.##..#.#.#.#.###.#####.#...##...#####.........##.#.##...#.#.#.#.#.##...##.#
###...#.#.#.#..#.######.#.#######.#.##.#........##...#.####.##.##...##.....#.#.........##.#.######.#...#.#....###.#.#.####.###..###..#.#..##.####...#....#..###.###..#.....##.##.#.#....######.##.####.##..#.###.###.#.#..#######.##...#######.###..###.#.##..##...###.#....#####.#.####..###...#.####..##.##.##..#.####.###.#.....##.#####.#####.....#.##..#.###..####..#.##.#.##.......#.###.#.#####.#..#..###
#.##.##.#####.##.#......#..##.....#.##.###.#.######.##....#..###..#.###.#.#####.#.##.#.##.###......#.#.#.##.#..######........##.##..#######.....###.#.#.###.#.....##...#.######..#.##.#.##..#...#...##..####..##.........######....###.#.#.....#.#.##.....#####..#...#.#.##....##.#....#.##...#.....###..#.#...######.####.#.###.#.##...##...#.###.##....##.....##......##..###..#.#.###.............####.##...#
#..####..#.##..####.#.#.#.####.#.##..###...#....#.####.####.#########.#.#..##...#..#####..####.#.#.#.#.#.##.##..##.#..#.####.....##......##.#.#...#.###...####.####..#.#....####.###..#..##...#.##.##..######.#..#.#.#.#....##..####.......##.##.###..#.#.....####.#####.##.##..#.##.#.#####.######..###.#.#.#.............#..####..##.##..#....######.####.#.#.#..####..##..###.#.###########.#.###########.###
##..#...##....##....#.#.###..#####..##...#.#.##....##....#####..........#.###.#.##....##.##....#.#.#.#.#.##..##....##.#....##.####..#.##.##.####.##.##..#..#.#.#####.#.#.#.##..#.##..###.##.#####..###.....####.######.#.####..##....##.##..#.....##.#####.####........#.##..##.#.##.#...##...######...#.#.#.#.##.#.####.#.##....##..#..##.#.##....##.......######.#####..##..##.#.....####.#######.#..#.##....#
###...#..##.#.##.##.#.#...##.#.....#####.#.#.##.##..##.###.#.#######.#.##.#.###.##.#.#########.#.#.###.#.###.##.#.##..#.#.###....##.#..#.##....#.##.##.##.##.......#.#.#.#....##..##.##..##.....##.#.#.###.#.....##.#..#......######.#...##.#.##.##..#.#.#######.#.#.#######..#.#..#.#.#..###......###########.####....###.##.#.##..##.#####.##.#.####.###.###.#.#.....#.##..##..#.#.#........#.#.#.#.##..##.###
#...###.##..#.##.#..#.#.#.##...#.#.##.#..#.#.##.##.##........##......#.#.....##.#..#.#.#....#..#.#...#.#.#....#.#..##.#.####..#.##..##.#..#.##.#.#####..#..###.#.#######.##.###..##...####..##.##..#...###.#.#.#....##.#.#.#.##.#....##.#####.##....##...##....#.######.#.##.#####.#.#.##.##..##.#.###.##.##......##.#...#..#.#..##..###.....##.#..##....#.......#.##.######..##.#######.#.##..........##.####.#
###.##...##.#.##.##.#.#.#.#..#####.#....##.#.##..#..##.###.#.#####.#.#.##.##..####.#...####...####.#.######.#.#.#.##..#..#.##.#.##.###.####..#####.....##.##...#.....##..##..###..#.#...###..#..##.#.#...#.#.#.#.####..#.###....###.###....#######.###.###..#########.#....#.#.#.###.#..#####..###.........##.#.#..#.#.#.##.#######.######.#..###.##..#.##.#.#.#.#..#...##.####...########..##.#.#.##.###......#
#...#..#.##.#..#.##.###.####.....###.#.###.#.#..##.##...##.#..##...###.#...#.##....##.###...#.#.##.#....##..#.###..##.##....###.##...#...###.##.##.#.#.##..##.###.######..##...######.#..##.###..#.####.##.#.#.#....##.#..##.####...##..##..###............##...##.#....##.#.....######..##...############.##.###.##.######.....##......##.##.##..##.##.##.#.#.#.#.##.#......##.#..#.#.####..#.###.##.....####.#
#.#.#.##.#..##.###...##.#....##.######.##..###.###..##.###.#.##..#.##..##.#######.##..#.###.#....#.##.####.####...######.##..##..#.#.#.#..##.....###.#.##.##...##..##.##.##..#....##..##..#..##.##.##...####.#.#.##..#.#.##....####.#..####...#####.#.#.##.####..#.#.#########.#.....##.##..#............###....###...#.#.#.#.#..##.#####..##..##.##..#.#..#.#.#.#..###.#.#####.##........##.#...#.#..##.##.####
#.#.###..#.##....##.##..#.#.######......######...##.##.#.#.#####.#..##.##...##....###.#.....##.###.##..##.....#.#..#.#.#..#.##..####.####..##.####...#..#..##.####....##..##.########.#####.##..##.####...##.#.#.##.##.#..##.###.#..##...##.###.###.#.#..#..#.#.##.#.#.##...##.#.######.##.##.#.####.#.####..##...#####...#.#.#.##..########..#####..#####.#####.##...#.#.....#.#..#.#######.#.#####.##.......##
###.###.##.##.#.#####..####...##...##.#..##....####.##...####....#.##..##.#..####...####.##.#..############.######...#.#.######..##.....##.#.....#.#.##.##.#....##.##..##.##....##.#....##...##..###....#..#.#.#..#..#.#.######..##.#..#.##.......#.#######.............#.######......#.#..##.#....###..#.#####.###.#.#.###########......####.....##....##...###.#..##############.#....##.###.##.####..#.#.#..#
#.....###..##.########..###.###..######.####.#.##.###..####...##.####.##..####....####...#..##.......###.....#.#...#...#..###...####.#.##..#.#.#####.##..####.#.##..##.##.###.#....##.#..##.####..##.#.##.##.#.#.##.####.#.##...######.#..##.##.#.#...###.######.#.#.##........##.########.##.#.##.####.....#.#...#......#.###...##.######..#.###..#.##..#.#.#.####.......###..##..##.#.....##......##.##.#.#.##
#.#.#..###.##....##..####.....##..##.....#.#.#....###.###.#####...##...##...##.##.##.###.#.####.#.####.#.#.#.#...#.##.#####.###....#.#########.##.#..###...####..#.##..#....#.###.######.#....##.##..####.######.##..##.......#......#.#.##...#.###.#.........##.#.###..####.###.....#.##..##.#..#....#.#.#...###...#.##....#..#.#.........##...##.#..##.#.#.....##.#.#.#.....###.##..#.###..############.#.#..#
###.#.##...##.#.####......#.####.##..#.#.#...##.#...#......#.#..#..#.#.#..#######.##.....#.##...#......###.#.#.#.#..#...##...##.#.##...#.##.......##..##.#..###.####..###.#####......##..##.#..#####.##......##...#.#####.#.#.#.######.#.#..#.#..##.#.##.#.#.#####...##....###.###.#....##.#####.#.##.#####.#...###.#..##.#...##.#.#.#.#.###..#..###.##..#.##.#####.#.#.#####...###..##...#####.........#.#.####
#...#.##.#.#..####.#####.##.##....##.######.##..#.####.###.#...##.##.#.##..#.##....##.#.##.##.#.##.#.#####.#.#.####.#.#....#..#.#..#.###..##.##.#.###.#..##.#......##.##..##.#####.#####..###.###.##.##.#.####..#.#..#.#..#.#.#.....##.####.####..#.#.#..#.#....##.###..#.###....###########.....#..#....##.#.#..##.#####.#.#..#########...#.##.##....#.##.#....#.###.#..#..#.#.####..#.#..#.#..####.#.####....#
##.##..#.#.#####...###....#.##.##..#.#.......#.##...##...#####.##..#.#..##....####.#..###..#..###..#.##....#.#.##...###.####.####.##.....##..##.#..##.##..#####.#########.....##.....#.##..##.....##.####....#.##.#.##...##.###.#.#..###......##.##.#.#.##.#.#.###...##.#..#..##..#.#.##.#####.#.#####.###..#.#.##......#.#.##.##.#.#.###.##.#...###.##.#####.#.....#.##...######....##.##.....###.#####.#######
#...#.####.###.###.#...#.#####.##.##.##.#.#.##.#######.#..##...#..####.####.###....##...##.##.##..##..###.##.#..###...#....###.######.##..##..#.####..#..##......##.###.#.#.#.#..#.###.##.####.#.#####.##.##.#.####..##.##..###.####..###.#.###...#.#####..#.#.#.#.#.#..##...####......#.#...###.....#.######.#####.#######.##..#.#.#...######.#.###..#.#.....#.#.#.#.##.#......##.#######.#.#.................#
##.##.#.####.#.##....#.#.##....#..##..###.#..#.....##..##..##.###...#####.#.##..#.####.##..#...##..#.####..#.##.#...#.#.#.####....##...#.##..##.####.###.###.#.#.#......#.#.#.##.#.....##...##.#....##.....###.#.######..##.#....#.##...#.#...###.#.....##.###...#.####..#.#..#.##.###.....###...#.#.#...##.......#......######.......#..#.#######...####.##.##.#.###.##.#.######...##.#...#.###.######.#.#.##.#
#...###...#....###.###.#.##.#.##.##..##...##.#.##.####..##..####..#..##......##.#.#.#...######..##.###....##.##.###.#####......##..##.##..##.##....####....#.#.#...#.#.##.#.#######.#.####.##..##.###..#.#..##...#..#.##########...##.#.###.####..#.##.##..##..#.#.##...#####....#...##.##...##.####.##.###.##.#.###.###...##...##.#.##.##.#.##.####....####.##.#.##...###.....##.#....#.#.#..##......#.#.#.#..#
#.#...###...##.......###.####.#..#..#####..#.#..#...###.##.##....###..###.##.#..#...##.##......##..##..##.##.##.#....#.##.##.########..#.##..##.##.##.##.#.#.#.#.#.###..###..##.....#.##.#..##.##..#####.##..###...##...##.......#..#.#...#..#.##.#.##..######.###..#.#....##.#.##.###...##.###..##..##...#.##.####....##.###.#.##.#.##..........##..######...#.#.##.###...#.#######.#.#.#.##.##.###.####.#.##.#
###.#####.#.####.##.##....##..#####..##...##.#.######...##..##.#...####...####.###.##...####.#..######.#...###..#.#.##.....#......#.#.##..##.#..##.##....#.###.#.#..##.##...###.##.##..#.#.##...##....##.##.#####.##..#.####.##.###.####.###....#.#.##.####.#...##.##.#.###############.######..####..#.#.####....##.#..###.###..###..#.#.####.#.###....#.##.##.#..#####.#.#.....#.#####.#.##.##...#.#.######..#
#...###.#.#.#....##..##.#..######...#####..###.#....#.#.##.###.##.###...#....#.#...###.####..##....##..##.####.####..#.#.#.##.#####.#####.##.##.#####.##.#...#####.###..#.#...#.#..###...#.##.#..##.#.##.#..#..##....####.##.#...##.##.#...#.####.######......#..#..#.#.###.##.......##......#.##....##.#....###.#####.####.##..##...##.#....#.#..##.##....#..####.....#.#.##.####.##.##.#.##..##.##....##.###.#
#####.....#.##.#..##..###.##....#.#.#.....##.....######..###...##.#...#.#.######.#...####...###.#.####.##....###....####.#.#...##....#.####..#...##.####.#.#.....###.#######.#####...#.#.###..#.###.#..####...####.#.#.##..###.#..#.#....######........###.#.######.###........#.###..##.#.#########..#.######....#.#####.#..#.##..#..#.#.#.####.##..##.#.######.#.#########...........###..##.#..########..##.#
#.###.##.##..#.##.###.##...##.#...#.#.##.####.##....##..####.#..#########.....####.#....##.##...#..##...##.#.##..##...##.#####....##......#.##.#....##...#.#.#.#.......##......####.##.#...##.#.##..#.###.#.#....#.#....##..#####.#.#.#.###.#.##.#.###.##..#...##.###...#.#.#.##...##..######...##...##.....###.#....###....##..##.#.####.#...##.###..#.#...##............##.#.#.#.#.#.###.######..........###.#
#.....##..#.####..#...####.##.#.#.###..#..##...##.#.#..###.####.##........#.#.#.#..#.#.##...###.##..##.##..#..####..#.##...##..##.#########.#..##.#..##.##.#####.#.########.##..#.#..#.##.##..#..##.#.#.....##.#.###.#####.##.#.#####.#........#.#..##.##.##.#.##...##.####.#..#.#####.##.##..#####.##..#.#...#.#.##.....####..##..#.##...#####...##.####.#######.#.#.###.##.#.#.#.###...###..##..#.##.#.#...#.#
##.##.#..##.#.###.###..##...###.#.#...###.##.#..#.#.##...#....########.##.###.#...##.#.######...###..#####.#.##....##..##.###.##....#.##.#######..#.##..##..#.##.####.##....##.##...##.##..#.##.##..#####.#.##.#..##...#.#.#.....#.#####.###.#.#.##.##..###..#....#.##.#.#######....##.......##.#.#####.####.####.####.#....#.###.##..###....##.#.##...##....##...#.##########.###...##.#####.##.##..###########
#..#..#.#####......##.#####..##.#.#.#..####..##.###.##.#...#.##...##...#....###.#..###..#######...##.##....#.#####.###.####.#####.###.....##.####.###..####....####.#..####.##..###.##..#.##.#...##.##....#..###.##..#.......#.#.....##....###########.###..###.#####..........#.#.##..#.###........##...#.#.#......######.##...#####..##.#.##..#..###..####..#.#.#..........####..###.....##..#..#####.#.#.#.##
#.###.#.....####.###..##....#####.#.##..####.##.###.##.#.#.#.####....#.###.#######...#.##.......###..#..##.#..#.##..##.#.#....##......#.#......##..##.##..##.#...#....##....##.##....##.#..###.#..#.##.##.#.##...###.#.#.##.######.#..##.#..#####.##.....##.##...#.###.##.#.#.##.#.###.#.##..##.##.###.#...#.###.##......######...##..##..#####.#.##...#####.##.#.###.########....##.###.#....##.####..........#
#.##..##.#.###.....##..##.#....##.#####....#.##...#..###.#####.#####.#.#........###.##.#..###.#..######.##.##.#....##......#.####.#.###.##.#.###..##...##....#.#...#.##..#.##...###.######..##.######..##.###..#...#.#.###......#######..##..#.#...###.#.##.#..#.....#############..##.#..##########...########..#..####......#.#..##..##...#.###..###.....#..#.#...#........#.##......###.#.#####....#.########
#.#..##..#.##..##.##..##..#.#.##....##..#######.######......##..###..#.##.#.#.#.#...#####.#...##..####..##.##.##.#.##.#.##.#..##..#...#..###..##.#####..###.##.##.##.#####..##.##.....##...##......#####..#...##.###.###...####...#.####..##.....#.#...#.#..#.##.#.###..##...#.######..##..##.##.#####....#.##..###....#.######.##..#.##..#.....##...##.####.##.#.#.##.##.#.##.##.##.#...###..#.##.##.#......#.#
#.##..##.#.#..##..##.####.#.#.##.####..#####.....#...###.##.###.#.#.##.#..#####.#.#....##.#.#.##.##..##.#..##.##.###..#.#..####..##.#.##.######..##.#..##....#..#..#...##..###..##.######.##..#.##.....##.#.#.#...##...#.#...##.#......##..###.######.##.##.#..###...##....###.#....##..##..........#####....#.##...#.##......#..#.##.###.#.#.#########.###...#.#.#..#.##.#.##.##.##.#.#...#.##.....#.#.######.#
#.###.#########..###...##.#.###...####.....##.##...####...###........####....##.#.##.###..###.#.....##..##.#..##.#...##.##....##.##.#.##......##....##.##.#.###.##.#.###..##.#.##....##....####..##.#.##..#.###.#.##.#####.#######.#.###..###......##..###..##...#.#....##.#.#.#.####..####.#.##.##.....##.#.#.#..#.#..###.##.##.#..#..##.#.#.......##....###.#.#.#.#######.##..###..###.###....#.#####..###.#.#
###.###...#.....##...#.##.#####.#....##.##..#.#..#....##.######.##.#..#.#.#.##..#..#.#...##...##.##..####..#.##..#.#.##.#..##..#.##.####.####.##.#.##..##.####...#.#.#.####.....##.#..##.#..##..###.#..##.#..####..#.##.#..##...##.#...##...##.#.##########.##.#.#.#.#.###........#.#####...#.##.##.###..#.#.####.####...#..###..#.###.#..#.#.#.##.####.#...#.#.#.#.......#..##...##..##..##.####..##...##.....#
#...#####...###.###.##..#.#.....#######..##.####.###.######..##.##.##.#...#..##.##.#.##.#####.#...##....##.#..##.#.#..####..#.#####.#.......#.##.#..####.....##.####....####.#.#####.##..##..##...#.##.##.#.##....##....##..##.##..#.#..########....###......###.#.#.#...#.####.#....##.###.#.##..#...#.####..##.....#.####..##.##..#####.#.#.#.##...##.##.##.#.#.##.##.########.###.###.##.....##..#.#....#####
##.##.##..#.##....#..#.##.#.#.#..##.##..#######....#......##....#...#.##.##.##...#.#.####.#...#.#..#.#######.#####.#.###...##.....#####.#.#.###..##..##..###.##...###.#...##.#....######.#..###.###.##.##.#..###.##..#.####.....##.#.##....##.#######.####.#..##.#.###.###..#####.#####...###..##.##.#####...####.#.##...###..#####.#.#.###.#.#.##.#.##..######.#.##.##..#.##.#..##..##...#.##############.....#
#........######.###.##..#.#####.##...##....##...#.###.#########.###.#.##..#####.##.#.#......#.#.#.##..###.......##.###.##.##..#.#.#.....#.#..#####..####..####..#.#.#.#####..#.##..##....#.##.....######..#.##...###.#..##..#.######..##.###...###......####.###.####....##....##.......#...#.#####......###...##.#.##.###.##..#..#.......###.####.#.###......#.#.##..##......#.####..#.#.#.....#.##.##....#.###
##.#.#.#.#...##...##########.#.....#####.#..#.#.#.##......##.....##.#..##.##....######.#.##.###.#..##...##.##.####.##......###########.#####...####....##...##.##.#.....###.##..#.######.#..###.#......##.####.#...#.#.####.#.....##.##......#.....#.##.#......####.##.####.#.######.#.########.##..#.####...#.##.#..#......##...##.##.##..##....#.#..##.#.#.##.#..##.###.###.#.#####.###.#.#.#......###.#.#####
#..#.###.###....#......##......#.#...##..######.#####.#.######.####.#####..##.#....##..#.##.#...#.###.###..##.#....###.#.#.#.#.#.#.#.....##..#...###.#####.##..######.#...#..##.#.#.#....#.##...########..###..##.####..##..#.##########.#.####.#.##.#..##.#.####.........#.#......###.#.###.##.##.##....#####.##.####.##.#.##.#..#.##.###.##.##.#.#.##..#.#..###.###...#..####..##.....###.###.###.##...#.....#
##.#..##.#...#.##.#.##..##.#.#.#.#.#..##....##....##..#..##.....##......#.##..#.#.####.#.##.#.#.#.#.....##..#.#.##.#...#.#.........##.#.####.#.#..##.#......##..##....#.#.#.##..#...#.#.##..#.#........##.#...##.....##..##.#..........#.#...##.#..#.##.##.#....##.#.#.##.#.#.##.#..##...........#.##.##.....#.##..##...#.#.##.#.##..#...#.##..#.#.#..#.##.#.##...##..#.##....##..#.#.#.#.....#..##..#.#.##.#.##
#############################################################################################################################################################################################################################################################################################################################################################################################################.E#

#S.###############################################################################################################################################################################################################################################################################################################################################################################################################################################################
##..#.#..#.#.#.#..#.#...##..#..#.##..##...#..#..##.#.#..##..#.#.##.##...#..#.##.##.#.#....##..##.#.#.#........##.##.#.##..#.##.##..#.#.#...#.#...#.#..#..#.#..##.#......##..##.##....#.#.##..##...##.####.##....................##.#..##.#.#..#.#.###..#.#.#...#.##..##.#..#.#...##.#....................##.##.#.##.....##.#.#.##.#....#..#..##.##.....#.##...##.#.#.##.#.#.####.##.##.#..#.....##.#.#.....#.#..#..#.##.#.##.##.........#.#.#.##..##.#.#.....#.#.#
#..##.#.##.#.#.##.....#..##.##...##.##..###.##.##....##..##.#.#.#...###.##.#.#..##.#.##.####.##..#.#.#####.#####.##....##.#.....##.....#.###.#.###...##.##...##....#.#.##..##...##.###...##.##..####..##...#.##.#.#####.###.#.####.#.##....##......#..##...#.###..#.##....##.##.##....#.#.####.###.##.####...#.#.##.###..#.#....#.#.####.##.##.....#####..#.#.##.#...........##..##.##.#.##.#.#.##.#.#.#####.##.#.##.##.........#.#######......##........#.#.#.#.#
##.#....##.#.#..########.##.###.##..##.###...#..###.##..##......##.##..........##..#.##.#.#...##.#...##.....##.#.##.#####.#.########.###.##..#..#..###...#.#####.########.##..###...##.###...##.#..##.##.###..#.#.....#####.#####..#.##.#.##..####...###.###...##.#..#.#####..#....#.##.#....#...#######.#.###.#......##.....####.#.......#..#####.....#.##.####...#######.#####.##.#.......######.......#.#.##.#.......##.#.##.#...###.#.######..####.#######.#.#
#....####......##.#.##.#..#.#.#..##.##..#..#...##.#.#..#####.##.....######.###..##...##.#...#.#....#.#####.##..#.#....##.......#.##...##..##.#.##.##.###.....#.#.##.#.#.#.#..##.#.####.####.###...###.#...#..##.###.#...#.#.##..##......#####....#.#...#..##.###....##.....##...##########.#####...#.##.....##...##############.#.#.#######.##.#.##.####.....#.#.####.#.####.#...##...#######..#.#.###.#.#.#.##.#.###.#..###..#.#.#........##..##.#.#####.#.#....#
###.###.####.#.#.....#.##.#.#.#.##...##.##.#####......##..####..###..##....##..##..####.#.#####.######.#....##.#...####..##.####.####.##.###...........##.##........#.#.....##..#.##.#...##..#..###.....#...##...########.###..##..###.##..##.#.######.#.##...##.#####.########..##.#.##.###.#######..##.##..##.####.#.#..............##.##..#.#.#...#...###...............#.##.#####....#..##.......#####...##.....###.####.##.#.#.#.#.######.##.....#.......####
#...##....####.#####...##.#.#....#.###...#..##.####.#..##.#..####...##########.##.##....#.#..##....###.##.#..#.#.####.#####.#.....##..##...#.####.#######.######.####.#.#######.#..#.#.#####.#.#######.###.#######.#.#.#..###.####...#..##....###.#.####.#..#..#.####...#.##.#..##.....#..........##.###..##.....#.....##.###########.#..###.......#.#.#########.#.#########..#.##..#.##.#.###.###.####.#..####.##########....#####.#.#..#####.#..#.#...##.#######
###..##.###.#........###......##.#.####.##.###.#.####.##....##..###.#.#..##.#......##.#.....###.####.#..###.##...##.#..##.#.#.##.####.#..#....###.....##..#.#..####.#....#..#.#.#.##.#.#.##..#..#.###....#.....###.......##.#.#.#..#########.###.....##....#####.#..##.##.##.#.###.#####.##########....#.#######...######..........#####.#.#.###.#####.#.#.#########..##.##..##..##.#..###.......#.##...##..#..........#.############.#.##.##....####.####....#..#
#...##..#.#.##.#####.##..#.#.##....#.##.##.#...#.#.#...###.##..##.....##.##...#.##..#####.###.#..##..##.##..###.###.##.##.#...####....#.#######.#######..##.#.###.#.#.####.##.#...##...#..##...##.#...#.######.#.#.#######..#.....###.##.#...#.#.######.####.###...##...#.##...#.#.###.#........#.#.####.##.######....#.#.####.#.#...##....#...###.##......#......###.....#.###.###.#.###..#########..####.##.########........#.#.##..###..#..####.##.##.######.##
###..##.#....####.......##.#####.#....#.##.#.###.#.#.###...#..######.##...#####.######.#....#.#.####.#...##..##.#.#.#...#...#.#.#####.#...###.#....###..##......#.#.#...##..#.#.######...##..###....#####...####.....###.##.#.###.....##.###.#....#.#.#.###....##.##..#.#.#..#.#.........#.######.#.#..#.......########.#....#.########.####.#####....#.####.######...#####.#.#.#.#.#.#.##......###..###............###########.#..#.##...##.#####.##.##.....##..#
#.#.##..####..##..#.###..#.########.#...##...##....#.#.###.##.#.#.#...##.###.#..#.##.#.####.#.#...##.###..##.##.#...###.#.#####...##....###.#.#.####.##.###.#####.....#..##...#......##.####..##.#####.#..#..###.#####.#.##.....##.####..#.#.#.####.........#####....####.#.####.##.###.########......##.#####.......##.#.#######.#.##...#.#.#.#.#.####..........##.###.#.#.#.#.#.#.....##.####..#..##.####.#######..##...#.#.#.#.#######..#........#..#.######.##
#......###.##..#############.##.#.#####.##.#######.#.#.#.#.##...#.##.##..##....##.##.#.#..#.#.#.####.#.##.#..##.#.###.#.#.#.###.#######...#.#.#....#.#...#......#.######..##.##.######...##..##..........#####.#.....#.#..##.##..#..#.##.#......###.##.#######.#..####.##.....#...#.#####.#......##.###...#.###.######.......##.#......###.#.#.#...#######.########.........#...#...##.##..#.#####.##...##....###.##..##.##.#.#.#...#.#.#.##.#########.......#...#
##.#.#.....##.##..###..##.#...#.#.##.....#..#.##...#...#.#.###.##.#.....######.##.##...##........#.#.#....##..#.#..##.#.#...#.#.#.#.##..###.#...#.##.##.##.######.#.##.####..#.....####.####....#.###.#.##.##....###.....##..########..#.##.###.#.#.#####.##.#...###.#.##.#####.###....##.#.##.#..####..#.....#......##.##.#......#.####.........#....######....#.#.#######.#.#...#..###..##.#.##..##.###..##......##.....#.#.#.#.###.#.#..#.....#.#.##.######.###
####.##.##.......##.##.#..###........#.#...##..###.###...#..##..#.##.####.#.....#.###.#####.##.###.#.####..##.#.#.###.#.#.###.#.#...##.####...#####..##.....#.#........##.##...#####.#..##...#.##.##..#.##.##.##.#.#########.#....#.##.#.#....#...#.#.#.#..#...####..#.##.##.##.######.##....######..#.###.####.##.###...##############..######.#######...#..####......##.###.###.##..##.##.....##.#......#################.#...#.#.#.#...##.#####....###.##.#.#.#
#....#..#..#.###.......##.#######.#.######..#.##.#...#.#...###.##.....#.#...###....##.##.#..######...##.#.##......#.#.#.....#.#...#.#..##.#.####.##.###.#####...#.#.#####.#..#..###..##..##.#####..#.####...#.####..###..##....####..#.#.#.########.#.#.#.##.#.##.##.......#.#....##.#.##.####....##.#..############...#..##..#.##.##.#.###.#.#######...###.###.#.####.....##...#..####.....###......#######.######.###.###.#.###.......###....#...##...#.##.....#
##########.#.##..#.###.......##.#####.#.#..##.#..###.###.###....###.###.#####.#.####..##.#.##....#.#..#.#..##.#####.#...#.###...######....#.##.#.##..#........#######.#.#...#####.##.##.###.#.##..##...####....###.##.#.##..##.#.##.##.#.....#..##.........#.####.#..#######.#.#####.####....##.#.#....##.#........###.######...##..#.#..........#..#.###.#.#.#.....###.####..####.##.#.###############..#.#..........#.#.#.#...##.#.#.##.##.###.########.#..#####
#.##..#..###.##.##.#####.#.#....##.#..#.##.##.##...#..##...####.##...##...##..#...###....#.##.#######.#...##..#.#.#.##.####.##.##..##..####....#..##...#########.#.##.....###.#....#.##.##.....#####.#.#..#.####.#..#.#..#.#####..#.#..#.#####.####.########..#.#.#.###.#.##.#........##..#####.######..#...#.######......#.#.#####.#.##.###.#.###.##...........#####.###....##.#####.#.#.#...##......#.##...##########.#.#...###..######...............#.#.######
#.###.##..##.####..#.....######.#..##.#.#......#.#...#####...#...###..###.###.#.###.####.#.....#..##..###..##.......##...##.##.###..##......####.##..#....#......#.##.######..##.###.#.....#.#.#.#.######.....#..#.##.#.##.#.##..##...##...###..#.#.##.#.####.#.......#.#.##...###.##.###.###....##..##.#.#####..#...######......##........###......#.#######.#######..##.#.###.#.#.#...#...###..######.#..#....###.##....#.###.##..#.##..###############...##...#
#.#......#####..##########...##.##....#.####.#.#####..##.###.#.###...##.#.#.....#.#.#.#..##.####.####.#...#######.###..###..#...###....#.##..#.#....#######.######.##.....#..##...#..##.##.#.#.#.#.##.#.###.###.##.##.#.##.#.##.###.####.###.#.##.#.#......##.#.##.##........#.#.######.#.#.##.####.##........##...####.#...#.#.###.###########.#.#.........#####...##..###.#.#.#.#.#.###.#..##.##.###....#####........####.###.##.##..#.###......###.#.#.####.###
#.#####.###.#..##.##....####.....####.#.#.##.#..#..##.##.##..#.#####.##.#.#####.#.#.#.##..#...#..##.#.###....###...###..###.#.###.##.#########.#.####.####.....#.#..#.#####.#####.#.##...#.#####....#.#.##....#..#..#.#....#..#..#...##...............#.####....######.##.#.##....#..##.#.#.#...#......#.#.#####.####.....#######.............###.#.##########....#####..#................##.......#...##.....#####.#####.....#.#...##.......######........#.#...#
#....##.#.#.#.##...####......#.#..#........####.#.##..#..###.#...#.#.##.#.#.#.#.#.#.#..##.#.###.##..#.....####.###..#..##......##.#....##.##...#...##....##.####.#.##.#.###..#.#....##.#.####.#..####.#..##.###.##.##...#.##.##.##.####.######.#.#.#.#####.#.####.##.####.#####.#.#.###.......#...#.#.######.#.#......#.#####..##.#.######.##...#.#.....#....##.###..##.##.######.##.#.##..##.##.###.#####.#####..###.##..#.###.#.###..#.##.###.##..########...###
###.##....#.#..###.##...##.######...#.###.###.#.#..##...##...#.#.#.#..#.#.#.....#.#.#.##......#..##.#####..##...#..##.#####.#####...####...#.#.#.#######....................##...#.##..####.#.##.#.##.#.###.....##..#.#####...#.....#.#.####.############......##.#.....#....######.#.#.#####.###.#.#..##.##.#.#.####.#...#.##.##.######.#####.##.#.#####.#####.#.##.#........##...#######..####.........###.##..##......#####..#.##..##..####.....###.......###.#
#.#.###.#...#.##.#.##########.#.###.#.#...#.#.#.#.##..######...###.##.#.#.#####.#.#.#.##.##.###.##..#.##..#####.##..#..#.#......##.##.##.###.###..#.##.##.#.############.######.######..##....##.#.##.#.##..###..##...##.##.###.#####.........#.#.#...#.###.##..#.#.######.#..##.#..........#..##.#.#.##...#.#...##########..............##..######....................#.########.###...##.###...#.##.#.##....##..###.####.#.##....##.######.##.#####..#####.....#
#.#.#.#####...##.#..##..#.#.........#.###..........#.##.##.###..##.##...#.#.##......#.#####...#..#.##.###..##...##.##.##.##.#####...#.##...#..##.##..#.##.###.###.###.####.##.#.#.#..##..##.###..#.......##.#.##....#.....#..##....##.##.#.#.##.....###..##..####.#....######.#..##.######.###..###.#....#.....#.....#...##.##.#.#.###.#..#.###..##.##.#.#.##.###.#.#.##....#####.....######.###.###########.###.##.............####..#.##.#......#.##.....#.#####
#.#.#.##.####.##...##..##.##.##.#.#.######.#.##.##.......#.##..###.####.#.#.#####.#....##.###.#.##.##...##..##.##..##..#.##..####.###....###.##...#.##..........#.......##.##...#.#.##..##....##.#.#######.....##.###.#.#...###.#####.######....#####...##..###.....##..#.#.###.###......######.#######.####.#.###.###.###...#.#.#..##.##.......#####..###..#..##.#.#..####...##..#.#.....#...######.#.#.#.#........##############.##........######.##.#####.##.##
#.........##...###..##.##....#..#.#..##....#.#...##.####.#.#..##....##....#..##.#.###.###.....#.##..###.###.##..#.##..##..##.......##.##...#....#......#######.##.########..###......##.##.##........#.#...#.########.#####.#.....#.....#.###.#.....###.###.....#.#..##.#.#.##...#..#.#.###.##........#...##.#..##.........########..#.#..#####.....##.#######..#####.###########.#.#.###...#...#........#.#.####.#.........###.......#.##.#####.##.##..##.###...#
#.##.####.###.###..##...######.#######..##.####.###.##...#.#.####.#######.#.##..###.#...#####....#.###...#...#.##..##....###.#######...#.###.############.#.####.....#.#.#.##...#######.#...#.#.##.#.....###.#.#.#..#..##.....###...#.#.....####.####.#.....#.#.#.#.#####....##.##.##.#.#....############..#.#.##..##.##.####.#.#.#.##.##.....#.#.######.....##.###...........##..###...##.####...#.#.##.......#####.#.#.#.##.#.#####.#.##.#.#.#..#.###.....##.###
#.#..##....#....##.###.##..#####.#...####..#....#....#.#...#..##....##.##.#..##.##..#.###...#.#.##.#.###.###.#.#..#####.##........#..#####.#..#####..........####.####.#....###..##.##....#.######.#.#.#...###.....###..##.##..##.#.#.##.##....#........##.##.#.#.#....##.####......###...####.........###.#######..####......#...#.#####.#######........#####....#.#.#.###.#####...########.############.######.#.#.#####.......########......#.##.#.#.#####....#
####.###.#.###.##..#.#.###...##..#.###..######.#####.#####.##.#..####..#..#.##...##.....###.###.#.....##.#.....#.##.#...####.###.##.##.##....##.#.#.######.#....#.##.#...####.##..#.#..#.#####.#.########.##...#.#...####..##.#########...#######.#.###..#.####.#.##.#.........##.#..##.#......##.######....#.##...###.#.####...#.#..###.......####.####.###.##.#######...########.####.#.#............##..........#.....#.#.#.#....##.###.#.#....#.#....##.#.####
##.###.###.#.#.##.##.#.#.##.####.......##.##...#.######.#...#.##.#.###.##.#.###.##..#.###.#.##..#.######.#####.#.#..###..##..#.###........##.........##.#########..#.#.#...##.###.#.#.#######......#####...##.######....##..#.........#.#..#....#.#...#.##...##.#.##.#.#.#####.#####..#.##.######....#.####...##.#.....#...########.##.#########.##..#####...####.##..#.#.....##.####.......#.#.#.#.####..#######.####.#####.#.##.#......#.#.#.##.....##......#.##
#...##.....#.#..#.##...#.#...##..#####.....#####....##....#......#.#.#.##....##.#####.#.#...###....##..#.##.##.#.#.##.#.####....#..##.#.######.###.#..#.#.#.#...##.....######.#.........#.#.###.####.#.######.#.#.###.#.##.##.#.##.##.#.##...#.##.##.##.##.#..#####..#.#....##.....##.#..#......##.###..####.######.####.###.....#####..###...##.###.#.##..###.#.....##.###.#..#......#.#####.########.##......##...##....##.###..#.########.#..##.#.###.#.##....#
###.######...##.#..###.#.##.######.#.####.##..###.#....#########........###.##..#.##..#.##.##.####..##.#.##.#....#.##.#..##..####.########..###########.......#..#.#######..#.#.#.#.###...#......#.#.....##.........#.#.##..#.#..#..#######.#####..#..###..##..#.#####.#.######.#####.#.##########.....##.##.....##....#.....#####.#.#.##...#.....####.#..##.....#.###..######...##.###....##...........##.#.#.##.#..#.#.##....##.#......##..#.##..#...#.#..###.##
#....#######....#.##.....##..#.##..#.#.....##...###.######.#.....#.####.##...##.#.###.#.##.#...#.#.###.#..#.####.#..#.#.##..###......#.#.##.........###.##.##.##.#..###..##.....#.#..####...#.##.....###..#.#######################..#.##.#.#.#.#####...#.####.......#.#.....##...#.###..##......##.##.##..#.##.####.#######..............#.#.#####.##.#.##..##########....#.##.###...##.####.####.#.####..#.######.#######.####..########..##.#####.######...####
####.......###.##..##.##.#..##.###...#####..##.######........#.#.###....####.#....#.#.#.#..##.##...#.#.#.##..##..#.##.#..#.##.#.######.#..#.#########....##########.....##..#.######...##.#######.##..#####........#.#.#####.#.#######....#.......#.#.###..##..#.###.###.#####..#...####....#######..#..##.###..##......###############.#.###.....#.##.#.##.#####.#...#.##....####..###...#.#....#########.#..#.#####.#.#.###..##.....#####.####.##..##...##.###.#
#.########.....##.######...##......#.......##..##.#####################......##.###.......##..##.#...#....##..##.#..#.##....#.#.#.#.##.#.##...##..##..#.###..#..##..######.##......##.##...#.#.######...#.#.####.###....##.......##....#.##.#.#####.#...########...#...#...####.#.#....##.#.......#######...###.###.#.#...............###...##.##...................#########....##...###...#######.##...#.##.................##..#.#....##.......##....####.....#
#...#.##...###.##.##.##..###########.#####.###.#..#..######.#.#.#..##.######..#...#####.#####..#####.#.#####.##....##.###.###.......#.....#.#####..#.#####..##.##..##.##...#############.#..........##.##.#...####...##....####.#####.#############.#######.####.#.###.###...####.####..####.#.######.#...#...#...#.#.#.#.#.##.#.#.#.####.########.#.#.###.########..#.##...####..##.##.###.....##...#.#####..###.####.#.####..##.###.#.####.#.#.###.##..##..#.#.#
#.#......###..........##....##.##.#..#..#...##.#.##.##....#...#.##......##.##.#.###..#...##.##..##.#...###.#.##.####..#.....##.######.#####..#.##.##.#.#.##.#.....###....#.......#.#...####.#.#.##.######...###.##.#########.#####.#....#.##.##...#.##.##.#.#..#.#...#...#.#.#.##...#######..#....#.....#.######.##.#.#.#.###..########...###...##.#.#..##.......#####....#...######......#.###....#....#..#############...########...#..##..#.#...#.###..####.#.#
####.##.#######.#####.#..####..##.##.##...#.#..#..#.#..##.###.#.###.###.##..#.#..###.##.###..##..#.#.#.#.#.#.......##...######....#.#.#.#.#.##.#..........#.#.#####...####.#####.....#....###.###..#.##...#......#.#.#..#.##...#.#.##.###.#...#.###.#.........##.#.#####.###....#.#...###.##.#.##...#.###....#.####.###.#.####........#.#.....############.##.####.#.#.######......####.#####.#########...#####........#.#......####.##.##..####.###...##...##.#.#
#....#..##..#######.#.##.##.#.##..##.##.###.##...##.##.#...#.....####.#..##.....##.#....#.#.##..##.###.#.#...##########.###..#.####.#.#......#...#.#.######...##....###############.########....####.###.###.#.###.....##.#..#........#.#...#.........#.###.#########.##..###.#.###.#......#.#..#.###.#.##.#....##...##.#....##.#.#############.#.#.#.###...#............#.####.#######...##...#.##.###.###.....#.##.#.####.#.###..#..#####.##....##.########..###
###.###..##.................#.###.##.#####...#.###...#####.#.#.#...#....######.###.#.##...#..##.#...##...#.#####..##.##...##......#.....#.####.##########.#.####.#####...##.....#####.#....####...##..#...######.#.######...####.##.#.....##########.##...###..##.#....##...###...#.#####.##.##.#...#....###.#.########.#.####..#.....##.#.#......#.....#.#.#######.####.#.#.#####.#..#.#..##.##.#....###.##.####..######.#####.#.#############.#..#...#....##...#
#...##..#####.##.#.#.######.#.#.#..###.#.###.#.#####.##....#######.####.##.###.#...######...###.#.######.......##.##..#.###..#.####.#######.......#.#..........#.##....#....#.#.......#.#######.#####...###.#.##....###.#.###.#####.##.#####.####..#.###.#####....#.###########.#.#.....#..#..###.#.#.##########.#.#..#.#....##.#.#####......######.##.####.......######.......#.#.#.#######.....#.######.......##..#...#.##.##....##.#.##.##.#.####.#...#######.#
#########.....#..#.########.#.#...##.....#.#.#.#.#.#.#..##.######........#.#.#.###.##...##.##.#.#.##.##..#######...##.#.#...##.###.....#.#..#######...##.#.#####.#..######.##.######.##....#..#...#.##.####....#.####.#.#..#....#.###.............##..#####.#..####........##.######.####.###.##..###........###.#.#.####.#.##..#...###.##.###.......###.###.########..#.#.#.###.#.#.#...####.####.##.....###.#.#..##.###.##....##.......#..#.##########..##...###
##...########.##.#.#........#.#.########.......#...#.#####.#.#.#..##.##.##..........##.##..##......#..##.#.#.#.###..#.#...######.#.###.....##.......#..###..####...####..#..#......#.#..####.##.###.##.#....##......#.#.#.##.####.####.#.##.##.######..##.#...##....########......##.################.#.####............#.#..##.#.#......#.....##.##.......#...##.#...##.#####.#.#.....###.##.#.......#####.########...#.....#.##..#.#.#.#.##..........##....#...#
#..#....#......##########.#........##..#######.###.#..###......##.#####..#.#.######..#.#..##..###.##.##..#...#..###...#.####.###....#####.##..##.#####.####......#......#####.########.##.....###.#......######.#####.#.#.##.###....##.####..#....#.####....#....##.....####.#.####.......##.#.#..#.###....###.#.#.########.###.###.###.##.#.#..#.##.###.#####......#######.#....##.####.#.#....#######..#...#.##.#..###.##.##..##.###.#......##.########.##.#.###
#.###.#.#.###.##..#.#.##..#.###.######...#####.#.#.#.##...###.#####.#.#.######.##.##...##..#####..##..##...###.##.###.#.##...#...#.##.#######..###.#.###.####.#.##.#.######.####..###...##.####...###.##......#...#.#.#..........####.....####.####.###..#.##.#.##..###......#..###########......##...#.##..######....##.##.##...##..#########.##.#..##...#.###.#####.###.#.#.####..##.#.#.#.########...##.###.#..#.##.#.#####.##..###.##.#.#.##........#.##.#...#
###.###.###.#.###........#####....#..###.............####.#....#.#.......##.#..#.....###..##.#.##..##.####.#.#.#..###.#....#...#####.......##.##......##....#.#..#######.#...#.##..#..####.##.##.###..###########.......######.#....####.#########......#####.#.###...##.##.##.##.#.#.#.##..#.##....#.#######..####.#.....#####.####.......##...#.##..###.....###..##..#..#......##...................#..........##..........#..##...#.##.###.##.#.#.####..#.###.#
###..#..###.###.##.#.#####.#.#.####.##...###########..###.##.#...#.####.###.##.#####.#.##..#.#..##..#..##..#.....##.....#########.##.#######...##.###..#.#######.........#.###..##...##.#..##..#.##..##.#####...#.##.##......#.#.####.#####......##.##.#####..#...##.###..#..#.............##..#.#.######.#.#.##.############.###.#..###############.####.#.#.###.###.##.##.#######.#######.#.#.##.####.#.##.#.#....#.##.##.###..#######....####.#.#..######.##..#
#.##.##.#...##...#######.......#.#..###.###.#.##.....##.########.###.#...#..##.#..##.#.###.#.##..##.#.###.##.##########.#.#...##.......#.##..#......##......######.#.#.#....#..##..####...###.##..##.#........########..#.#.#########...#.#.######...###.#.############..###.####.#.##.##.######.#...##...#..............##.#.....##.......#.......###..#######.....#..#.##.#.#.##........###.#..#...#############.##########.##.####..##.#..#.########....#####.#
#.....#.###.####.##.##.#######.#.##.#.###.#....#####.#.....##.#...##.###.##.##.##....#..##.#.##.##..#.#......#..#.#.##......###..##.#.##....##.#.##.##.######.#.#############.####....##.###.....##....##.###.#####.#..####...#.......###.#...#.#..#...#.#.#.#.####...##...#....#.#..####....#########..#...########.#.#......##.##..##.##...########..##..#.#..#.###.##......#....#.#.##..##.#.##.#.............###.#.##.###..#.#..#.######....#.#.....##.#####.#
#.###........##..#.....###.....#.##.#.##..##.####.##.#.##.##....#..............####.##.##..#.##..##.....######.##.#.##.######.#.#####.#..#.###.#..#.#.......#...#.#.#.#.#.#.#..##..#.##....#.#####..#.###..##...#.#.####.####...#####...#...#...#.##.###..........#.######.#.#######....#.##.....###...##.#........#.#.#.#.#################...##.....####.#...######....##.#...#.####..##..###..###.###.#.##.##..........#.#.#####.#.....#######...##.#####.##..#
######.#####..##.#####.#.#####....#.#..##.#...##........#######.#.##.#########.#.##.##..##.#.###.#..#####..#.#..........#.#.#...#..##...####.######.#####.#...###.....#.#.....###.##....##.........##...#.##..#.............##.##.###.#...#.###....###...##########.#.#.########..##.#.###########.#.#######.##.#.########.###.##.#........#.###..#####.#....###.#....#.###.#.###....#.###.#######.....#.#..######.#.##.###.....##....#####.##.##.#######.#...##.#
#...######.#.##..#.##....#.####.#.....##..###.###.#####..#####..#.####.####......#...##.##...#.#.##.#.##..##.#.####.###.......#...####.##.#.....###.#####.#.#.....#####.#.#####.#.##########.#.#.#####.#####.##.####.##.#.###.......###.###...##.#######...#.#.#.##.#.#.#.#.##...#######.##.###.#.....#.###########.#..#####.#.#....#.#.######.##..#.##...##.......#.##...###...##.#.#...#....##.###.######..#...######..#..#####..#.##.#...#..##...#.#.#.#.#..#.#
###.#.#......###.#....##...#.#..#####.###.#...#.###...##..##.##.###.#..#..######.##.##..###.##....#....##.#......#####..##.#.##.#..##.......#####.###...###.##.##..........#.#............##.#.#.....###.##...#..#############.#.######...#.########.##..#..............#....#.###.#####..........#####.#.#######.....##.##..#.#.########...#...##......#####.###.##.#..#####.#########.##.##..#..####.##.##...#####..##...####...##....#.###.##..#.........####.#
###.#.######.....#########.#.####..##.#...###.#.#####....##..#####..##.##.##.....#..##.##.#..####.####.#....####.....#.#####..####..##.##.#........#..#######...#####.#.##.....#.##########..####.#####...##.###...###.#.##..###..#...#.#.#...#.#.......##.#.#########.##.##.....#.#.#.###.######..##......#.##.###.####..##.......#.#.##.###.###..########.#...#######..##....##.#.#.####..##...##........#####.#.##.####......#..####...##.....##.#.#.######.###
#........#.####.##.#.##......#####.#..###...#.#...###.##..##.#.#.##.......######.##....#....###.#.##.....#.###.#########..##############..##########.###....##.###.########.#.##.........###....#.....#.###...##.###.#......####.##.#########.....####.#######.#.....#..#..#######...#.##..##.###.##..#.#.##.#...#...#.#.##..#.#.#.#....#.#.#.#.##..........###....#####..##.#...........######.###.####.#####..........####.#####...##.#....##.#######.....#....#
########...###..#..#..####.###...#.##.#.###.....###...###.#.......#######.#.#.#..#####.####.#.#....####.#####......#..#..##.###.#.#.#.###.......#.##.....#######.#.#.#.#.######..#####.#..##.#####.##....####.##.......#.####..#.......#.#.####.#....###.........#.####...##....#..#....##..#...####.######....###.###.#.###.#######.####...#.#.##.##.#.#.##########.#.##..#.#.#.#.#.#.#......#.#.#....#..##.#.###.##.#....#....#######.#.#.###########.#####.####
#...#.####.#.##.##.#.###....#..#......#.#.#.#.#..######...####.##...........#.##..###..##.#.#.#.#####.#..##.#.######.##.##.............####.#.###....##.##.#.##..#..........######...####.##.###.###..##..#####..#.##.##..#.##.#####.###.#.#.####.######.##.#.##.####.##.####.#...########.##.#####......##.####.#.###.#..##.##.#.##.###..###.......#.#.#..........#.#..#.####.#.#.###.##.#.###.....#######......#..#.#.#.##.##.....##..###...#####.#.####.#.....#
#.#.....##...#.....#...##.#...#######.......####..#..####.#.##.#..#########......##.##.##...#.#.##.#....###...###..#.......#.#######.#.#.########.########.#.###.#.##########.#.##.####.######.#...######.....#.#####.###....#.....#...#........####.#...##########...####.####.#####.#.#...#..##.##.#####....##.#.#.#.#.##............##.....#########.#.#.#.#.##.....##.#.######...####.#...#.#.#.........##.#.#.###########..#.#####.#####...##..#..#...#.#####
#.##.##....#...#.#.#.##########.......#.##.####..##.##.......####.#.........####..#.#..####.#.#.#..###.##.#.###.##.#.#########.#...#.###.#.#.#....###.##...#.#.#..........................#.##.#.###.#.##.#######.#.#..#####...#######...##.######.#.#.###.###..#.##.##.#...##..#.##..#...###.##......#.##.#####...#........#.##.#.#.###..###........##########..#.#.#.##.....#.###.###.#.#.#.###.##.#####.#######..##.#.#.######..#.#....##..#####.##.#.###.....#
###..#######.#####.#.##.##.#....####.##.##.##.##.....####.##..#.######.##.#.#..##.#.##..##..#.#.##.#.#...........#....##....#....######..#.....##.....##.###...#.##.##.###.#.#.#.##.#.#####.##.....#...##....#.##...##...#####.......##.##..................#..##.#.......#.###.#..#.##.#####..#.######..#.#.#.##.##.###########.#####.#.######.####....##..###.##########.##...#.###.#.#.#.#...#.##.########.#.###..........#.##.##.########....#...........#####
#...##.......#...............#.##....##.##.#.....##.###.#####...##.#.#########.........##..##.#..#.....####.#.##...#.###.####.##..#.#.##...#.#..###.#........#....################..######.....#####.####.##......######.....#.#.##.#######.##.####.##.######.###.#.##.#.####.#...##....#...#.##......##.....................#.####.##.#....###....#######.##.#####.####.#####.##..##.#.######.##.##.............###.##.#.####..###..###.##.##.###.###.##.##.....#
######.##.########.##.####.#.######.###.#..########.#.#.###...#.......##.#.#...#.###.#..##....##.#.#####.#########.####........####.#....#.#.#.####.#.##.##.##.##.........#.#.#.###..##..#.#####......#.#####.##.##....##.#.####.##......##.#.....#..#......#.#.#.#..#.#...##...####.####.###....#######.#.###.##.#.#.#.##.###..#.#.#....##...#.########.#..#..#.#...#......#####.##......##########.#.#.#.#.#.#...##########..####.##.#....##.......#.##..#.#.#.#
####.######..####...###....####.#.#.##..##.#..........#.#.###########.#....########..##....#.##......#.#...#.#.###......###.##.###....##########..#.#..#..####..#.#######...#.....##....##.......#.##...########....#.#####....#..##.######.##.#.##.###.###.........########..#......##.#.#...##.##......#####..#.#.###.#....#.##.....######.####.#......#.##.##.#.###.######.#.#..##.#####.###.#....#################....#.#.###.#.##.#.######.#.#######.##.#.#.#
#.......##..##....####..#.##........#..##############.#.#.#.##.##.#...####.#..#.#.####..#.##....##.#.....###.#.#.#.#.##...#.##.....####.##..#.##.#####.#.###.##.#.....#.#####.#######.#....##.#.#####.#...##.#.######.....##.###.##..##.#.#.####..#..##...#.##.##.###.#.#.##.##.##.#........####....########.######.######.#...##.###.....####.#....##.###.................##.#.#.##.....##..#..###.###.#.#.##..#.##.#.####.#.#.#.#.##......#.###.......#..#######
#######.###....#.##..######..#.##.###.##................#.#..#.#..###.##.#.##.#........########..#######.........######.#######.####.....##.#.......####..#...#####.###.##........##..#.#.###.#.....#.###..........##.######..##..##......#....##.#.##..###..#.#........#.##..#.####.###.#.###.####..#.#.#.#......###..##..###......#######..#.#.#.######..##.#.#.#.#.#.##...........###..##...##.#.##.......##.#..#................##.######.####.#.#.###...##..#
##.##.#.#.#########.##......##################.##.#####.....##.#.##.#.#.......##.#######.##.#...###.##.####.#.#.###.##..#.###.####.#.#####....#.#####.#####.####.######.#..#.#.######.#.###.#########..##.#.#.##.#.##......##.##.####.#.######..###..#.####.##.##.#.#####....##....#.########.....##.........#.##..###..##.##..########.....##.#.####.##..#####.##########.##.##.#.###########..#.#..#.#####..#...##.#####.##########..##.#.#....#.#.#.#.#.###..##
#...........####....####.##..###.##.............#.#.....#.#......#..#.#######..#####.##...#.###.#.#.##....#.#.#......##.#......#.#.........########.#...#.#...............####....#.#.#...#.##..##.######.##################...#...##.#....###########....####.#..#.....##.####.######.##.#...########.##.##########.#.##...##..#.....#.#####.....#.#.#..###.##..........#.#..##.#......#.#.#..##.####.....##...####...#####.##.###.##.##.#...#.####.###.###.##..#
#####.#.###....####.......####....#.#.#######.#.############.###.##.#.###.#.##..#.....###.....#.#......########.#########.######.#.#######.###.#......###...#.##.#.#.###.#####.##...#.#.#......###......#######.#.#.....#####.####.#########..###...###.#..#.####.#.#.###...#.###..##..#....###.###.#######...##.#.#....##.####...#####.......#####.....##....#######.#.#####..#.########...##.#..###..###..#####....#....##..#.#.#.....#...#####.######..#..#..##
#.....#.#...##......#.#####..####.######......#.#............#........#.#.#.###.#####...###.#.....##.#.....#..#......#.#................####.#.#.#######..######.#.#######.#.########.#.#.##.#..#..#.#.####.#...#.#.###.....###..#...#.###.#.##.#.###.####...##.###.#.....#....##.####.#.##............#..#.####.....##..###.#..#.####..#.#.#....##.###....##.##.##.###..###..##.......##.###....##.##..######.#..#####.#####.......#####.####.##.#.##.##.#.##.###
##.#.##.###########.####..##.#.....#.#.##.#.#.#######.###############........##.#####.#.######.#.##..#.###...###.#.#.....##.#.###########.#.......##.#...###...###............#.....#.#.###..##...####........#......####.#.###.######.#...#......#.#.###..#......#.#.##.##.##..#.####...###############.##.##.#.##########..##.#......######.#####.########..........##...######.#.####....##.####..#.##.##.#.##.....####.##.#######.###...........##..#.......##
###########..#.#######.##.##...###...#.#########......#.........#.....###.##..........#........#..##.#...#.#.#.###.##.#.#####......##.......#.#.#..#...#.....#####.##.#.#.#.#...##.##.#...##.##.###############.#.##...######...#.##.....#...######.#...##.#.#.######..########....##..#...#...##.#.#.#..............#.###..#####.#.#.####.##............########.#.#..#.###.#.######.#..#####..#.#.##.#..##......###..##........###......##.#.#.#####.##.###.#..#
#.#.##.##.##.......##.....###.####.#.#.#..##.#.################.###.#############.###.##.#.#####.##..#.#.#.#....#######.#..###.#.#....#.##.#######...#.#.###..##...##.#.#.####.######.##.##..##....#....###.#########.##.#.###.##.#..#.#####..........#.##.###.....###.###.#..##.#....##.#...####...#...###.##.#.###.......###.########.#...##.#.#.#.#####.#.#.###########.#.....#.##.#.##.##..##...##...###.####...##.###.##.##...#.#############.#.#......####.#
#............#.#.#..#####...####.###.#...##..#...#####....##.#......#.............#...##.###......########.##.#...##.####.##.###.#.#.##..###.#.#.##.####...##..##.###.###....####.#.############.#...####.#.#.##.#.#####.#...#......##...##..#.#.#.#.##..#..##.#####.........######.#..###.#...#..#...##########...#.#.#.#.##....#.#.#....##########.............###.#.##....#####..#.#.....##....###..#.#......#.######....#.##.###........#.#.#..#...#.##..#.###
##.#.#.##.#.##.####..#.##.###.....#..##.####.###.#...####.#....#.#.####.#.###.#.#.##.##...##.#.##..##.#.####..#.#.....###.....##.###..##.......#.####.####..#.##..##....####....#...##.###.##..###.#...##.#....#.#.#.#.#.#.###.###.###.###..##.#.#####..##.###.....####.#######.#.#.##...#.#.#...##.#####.##.####.########.#..####.#.#.####.#.#.#..#.#.##.####.#..#.....###.##.#.##.#.#.#####..#####..####.#.########.##.######......####.#...#.#.##.#########...#
#..#.####.#######.##.......######.##.##.##.#.#.#.###.#......##.#.#.##...#.##..###.#...##.##..#..##.#.....####.#.###.#.....#.#..#...##.####.#.#...........####..##.##.########.#...#......#....##...#.####...##...#.#.........#..##...######..###.##.######.##..#.#..##.....##.....#..#.#.#.####.###...#.#......####.#.#.#####..#........##........####..#....####...#######.#.....#...#.##.###.#.#.##...####.....##.#.#...##.#####.#....#.###.#...#.....#......###
##.#.##...#..........##.#.##.#.#.....................##.###.##.###.####.#..##..##.##.###.##.##.##....#.#....#########.##.##.##.########.####.#.##.##############..##........#.###.#.##.#...#.#######......######.....#####.#...##..#......##...#.....#...#.###.####..##.##....#.###.######...#####..#.....#.#.##.#....#..##.#.##.#.##.#....#.#.########.#.###########..##.#...#.###.###.............#.###.##.######.....#.......##.#.#.##########.#.###...####...#
#..#.#..#########.#.#####.##.....##.##.#.#.#########.#..###.##..####.##.#.####..#.#..#.###..#...##.#####.####......#####.########..#.##...##.#.##.......#......##.#..#####.##.###################.##.#.##......###.#.....###.#####.###.####..###.#.#...#####...##.#####..#.#.##...###....##.##.#.####.#.#####......####.##.......######.#.########.#.#######.#.#.##...###...#.#.........#.#.#.##.####...............##.###.####.####.#.#.#...#.#......###..####.##
#.##.#####.###....###.##...#######..##.########.#......##...###.#.......####...##.#.##..#..###.###...###..#.##.###...#.#...##.#.#.##....######..#.###.#...#.########.#...#.####.##.#.##.#...#.##...######.#.##.######.##########.#..##....##...######.########.....##.#.##.####.#.....########......#.#.....#.#######.#.#..#.##.####.######..###.........##.........###...#####.#.#.#.###.###..#...#..##.###.###########.#....###.######.#.###...##.#...#.##.#####
#.#..#.......####.##.....#....####.##..##.....#.####.#..##.##.######.#.##....#..#.#####...##...#...###.####.#....###.#.###........#..##....######...#.#.###....##..###.#####.##.##.#.#....###.##.####.#...#..#......#..........#.#############.....##..#.#.##..#.#..#.####..#.###.#####.##.#.#.####.#.##.#.##.............#####..#.#.#...##.##.#.#########..##.#.####.###.#######.#.###....#####.#...#######....####.....#.#.####.#..###....##.######.###......#.#
#.######.#.#.......###.####.#.......##..##.##........#.###.#.......#.#.#..#.##.####.....###..#####..##..#.....##..####...#.######...##..#.##.#####.####.##########..#...#.....#........##.....#.......##.##.##.######.##########.####.####.#############.#.#####.##....#.####..##....#...#.....#########################.####.#.##.....###...#.#......#..##.##.#............#...#.#..###.#....####.#.......#.####....##########.#.#.##.#.##......#.##..##.##.###.#
###.#.#..####.##.###.####.#.#.##.##.###########.#.######...###.#.#...#.##.####..##..##.##...##.....###.##.#########.##.###########.####.#.#......#.#..###.######.##.#.#...#####.###############.#############.....###........###...............##............##..###.#.....#..###.####.###.###.....#.#.##.....#......###..##..#.#..#####.#.###...#.##...##...#.###.#.####.#...###.##...#.#.#.##.####.###.#.#......##..#.#.#.#.#.#.#......##.##.#....#.#########..#
#.....#########..#....#.....#.#..####.##........#..##....#...######.##.##.#....####..######..##.##.#.#.##.......##...............####...#...#.#.####.###.......#.#....###..###....####.#.#.#.##.#.#...#.#######.#...####.##.##...#.#.#.##.##.###..#.#.#.####..##..##.#.#.#...###.......##....#.#.###.#.#..#.#...#.####.##.##.#####...##.....##.###########.##################...#..#####.#.#......##...######.#.#####...#.#.......#.######..##.#.#.####.##.##...##
#.###.#.#..#.#..###.#...###.####.#.#.....#.###.###.##.#.###.###.#.#..#########..#.##...#..#####.#.........###.#....###.#####.###....##.##.########.......#######.###.####.##.##.###..........##.#...#....##.#.###.#....#.##....#############.#.#.######..#######.##..#.#.#.#...#.#.#.###..#########..#...############...#.##.#.#.#.###..#.#.......##.##.................##.#############.#.##.#.#.##.#....#.###.....#.#.....###.###......####..#.######.#...#.#..#
####....##.....########.#.....####.#.#.######..#...####.##..#.......##.........##....#.#.##.....###.#.#########.##.##.....###########..##...##.#.##.########.#.#.##...#.#....##.#.#.###.#.##......#########.#.######.###########.##.#.#....###.......#####...##...#.####.#.###.###.#.....####.#.#.##...###.#.###.#....#####..........#.##.##.#.#####.#..##.############..........##....#.#.#..#.#..###.##.....##.#.####.#.########..#.####.###.#....#.#.#.###.####
##.####.###.##.#.#......###.###.##...#.#......####...##########.#.#.##.####.##..########.#..#.#####.#.........######..#.#...##.#######.###.##.......#....#.#.#...#..###.#######.#.....#.#.###.#.#.....###.#.#....#.#..#.#.###.....#.#.#.##..##.#######.##..#.#..#.#...####.###...###.###.#......#.##.#####.........######...########....###..#...#.....##...####.#..#.#####.######..#.######.##.##.###..############..###..........##.......##.##.#...#........#.#
#...#....#######...#.#.##...##.....#.#.######.#....#..##.#.#.####.#.##.###..#..##...#.#....#####....#.#.#.#.#......###########......##...####.#####...####.#...###.##....##.#.#...#.#####..##.###.#####.#.....##...##.........#.#........#####..###.....#.#######.#.#....#...#####.....#...##.#............#.#.#.#...#..##.##..########..##.####...########......#.##.###.####..##.##....#####...###.##..............#####.#.#.##.####.#.##..#..###.#...##.###...#
###.####.#.#.....#.###..##.#######.###.##.....#.#.##.##...........#.##.#...##.####.##.##.#..##...##.#.#.############.###.##....#########..##.....####.#.#....####.....####......#.#.....#.###.###....#....##.#########.#.#.######.##########...##.#.#####.#.#..##.#.#.##.#.#....##.#.#.#.#..#.###.#.##.#######.###.#...##.....##...########....#.#...###..#.##.#...........#.#.##...###.##.#####..##.###.#.#.#.##.##.....#.#.###...##..###..##.####.##.########.##
##...........#####.##..######......##...###.#.###..#.####.###.#.#.#.##.##.######...##....##..#.####.#.#..#.#.#...#.#..#...#.####.....######..###....#.....##......###...##.#.#######.######.#...####...#######..##..######......####.##.#..###............#.#.###.#.#.####.##.#..#.#.#.###.########.##.......############.#.#....#.....##.#########.##.#.#######.#.#.###.#........########.#..######...#######..#####.##.#.#####.#.#######.##..##...##........####
#..#.####.##.##.....##.#....#############.#.###...####.##..##.#.#.#.##.#..#..#...#....##.##.#####...#.##.......#.....##.###.#.##.#####.##.##.####.###.#.#..########.######.#####.#.####.....###....#.#.....####.#..##.#.##.######....##.#.##.#.#######.##.......#.#.#....####.#.####.#..##........#.##.#######...##.####..####.#######.....#....#.###.....##.#####.#..####.#.#.####....#.#...##.#.#..#......##.###.#######.....#.#.......#####..#.#..##.##.#####.#
############.#..#.#.####.##.#.#.............#...#...##....##..#.#.#.#####.##.##.##.##.#...#.#.#...#.#..#.#.#.#.########........#.#.#.#..........#.#####.#.##.........#..#...##.....##...#######.##.####.#.##.#....##..#..####.#.###.##.....#.........#..##.##########.##....###...####.####.#.#.#.#.##.......###.#.....##...##.....#########.##.......#.#..#.....#.##....#.#.#.##.###.##.#.###......##.#######.........###.###.#.#.#.#.#...#.#.##.#.###..#....#..#
###.#........##.#.###.##.#......#.#.###.#.###.###.#..##.#.###.#.#####.#...#.....##..###.#.###...#.#.#.##.#.#.#..##......#.#.##.........##.##.#.##...#########.#####.##.##.####.###....#.......####....###......##..#.##.###......##..##.##.#.###.#.#######........###########...#....#...##.###.#.#.#..#.###..##.#.######.######.#............##.#.#.####.##.##.####..#.####.#.....##..#.......##.###########..#.#.#.#...#...#.#.###.####.##.#..###.##..##.#.##.##
#.....#.###.#######......###.##.###.##..#.#...##..#.##..#..##.#.##.##...#.#####.##.######..##.#.#.###..#.#.#.##....#.#.##.###..##.###############.###.##.#.#.....####......#.#..####.######.#..#.#.##########.####........#.#######.###..#.....###....##...########.##......#.#.#.########..#######.##.#...##....#.#.##.#.##.############.#.####.###...##.....#..##..####.##.#.#.#....##.###.#..#...........##.############.##.#...#....#....######.#..##..#....##
####.##.##....#######.####...#..##..##.####.#..##.#..#####..#####.....#.###.....#..##.....#######.##..####.#.#..#.####..######.#.....##.#.......#####.#......#####.#..#.####...##.####.#.#####...#....#....##....##.##.##.......#.......##.##.############...##.#.#.#..########.#........##......#####.#######.#......#.#..#...........#######.#..##.#.##.##.#######......##.###.#.####....#.#.###.#.####.#..#...##..###..####.###.####.##.#..###.####.###.#.##..#
###..##..######.#.#.########.#.####.#...##..##.##.#.##.....##..#..#.#.###...#.#.##.##.###.#.#.....###...##.#.##.#.########...#.#.#.#....##.########.#.#.########.#.#.####....###...###.......###.##.#...#####.#.###..#####.#.##...#.###.########.####.##.###..........##.###.#..#.#.##.#.###.#.###.#.........#.##.#.###.#.##.###.#.###.........#.#####.##.##.#.#.#.#.#######.#...#......##.#.#######....###.###.##..##.##..#.#..##...##..####......##....#.#..##.#
#...##..#####...#.#..#....##.###..#####.#..###..#.#.##########.##.#########.#####...###.....##.##...##.###.###..#..#.##.#..#.#.#.####.###....##.#.#.#..........#......##..#.####.###.#.########...#.#.#..##.#####.######.###..##.########..#.#.#.#.........###.#.#######.....##.#.#..#####.###.....##.#.######.#..#.......##.##########.########.....###..#........#..####.###.#.##.########.##.#.##.######...#..##.......##.#.##..#.###....#.#########.#####.##.#
###..#.##...##.##.##.##.#......##.......#.##...##.###.#.#.......####........#####.######.##.#..#..###..#.####..###....#.#.######..##......##..#.#.#...####.#.#...##.#....##....#..............#.########......###.##.#.#...####........##.##.......###############...#.#.##########.###.#....##.##.##.#.....#####.#.#.###.......#.#...#......##..#.#..###.##.##.####.##....###.#.#........##.......#....#.#.#######.###.####.#######...#.####..#...#.#......###..#
###.####..#..........#####.#.#####.#.#.##.#..#..###.......#####.###..####.###.#.#.##......####.##...##......#.#####.#.......#.###########.###.......###########.##############...#.#################.#.##.#.###..........####.#####.#.##.....##.##............#.####.............#####..#.####...#.##.##.##...##..#.#...##.#.##.....###.#.##..#########.######.....#....####.#########.#.###.#.##.#####...#.....#.#.###........##.####.#....##...###.##.#.####..##
#....##..##.##.#.###.#.#...#..##.#.#.#..#.#.###.#############.....#####...##......##.##.###....####.##.######...##..#.####.##.#.###.#####...##.#.#.####....##.#..........#...#.######.##.####.##..#.....#.#...#.#.###.####.#...######....#.###...####.#######....##..#.#.#####.#.#.#.#.##.####.#.####.######.####.###.#.####.####.#.#########..#####..#..#.##########.#....#.##.#...######.#.#.##..##########.#.#.....###.#.####.....###.#.###.#.....##.#..##..###
#.#.####.##..#.#.#.....##.##.###...#.##.#.###.###.#.#...###.#####..##.###.##.##.#.##.#....#.#.##.....#.....###.####.#....####...........##.###.###..#...####..##.#.#####...######.#.#..........#.##.###########.#####........#......#.#.################..#########.####....######.#...#.....######.###.#..#.#.#...##.#....#...######.##...#####.#.##.#.##.#.#...##.########......#........#######.......#.#######.######.####.##.##########.#.#.#.#..#.##..##...#
#.#..##..#..##.####.##....##...#.#.########.........###.#.#.#.###.##......#...#.#.##.#.#.##.#.#..##.##.###..##...##.##.#..#.#.#######.#..###.#...##...#..#.##.####.....##.###.#.#...#.####.###.#.#..........#.#..##.#.#.###.##.#.######.####.#.......#.#.##.##.#....#..#.##.#.#.##.#.###.###....##...##...####...#..#.##.###.#...#.#.....###.#...#..#.#..#.....#....##.####..#.#.###.#.##.######.#.#.#.#...#.#.#.#......####....#.####.##.##...########..##.##.#.#
#.#.##..###.##..##..#..#.###.#.#.#..##....##.#.#.##.##.............####.#.##.####.#..#.####.#.##.#..##..##.##..####.##.##.........#####.####.#####..#.##........###.#.#####.#.#.##.##.##.###.###...#.######.....###.#########..###..##...#.#.#.##.##.#.......#...##...#######...##.........##.#..#.###..###..#.#.#######...#.#.#.....#####.....###.##.#.##.##########..#....####...#.#..###..#.#.###########.#.#.#.####..#...#.##.#........###.##.#..###########.#
#.#..##.#...###.###.##.#.##..#.#.##..###.##..#####.....#.#.#####.#......###..##...##.###....#.##.##..#.###..##....#..###..#.#.#.#....##.........###########.###..####.....................##..#..#.#.#....#####...#...##....######.####.##.#.#..#..#...###.#...#.###.##.#..##.###..#.#.########.##.#.##.....####...#.##..#########.#.###...#.#......#...##....#.#.#.#.##.####.##.######..###..........#..###..........##...#####....#.#.##..####..#.##.##..##.####
#.#########..##.#.######..#.##.#.#..##......##.....#.########....#.#.##.##..##..#.#...###.###.##..##.#...#.####.#.#.####.##.#.#####.####.######...........#.###.##.##########.#.#.#.#.#.#....##.####...#####..#####.###..####.#.......#........#####.#...#.#.#####........##......####.#####.#####......#.######.###.##.###.#.#.######.#.############.####.####.....#..#.......###.##.##.#.##.#########.##.##.###.#.########.....######..##..##..##..#..#.###.#.##
######.#....##..#........##..#.#.##.#..#.##.####.######.....###.####.##.##.####.#.#.#..##..##.#..##..##.##.##...#####....####..#.##...##....###.#.#.###.#####.#........########.#.#####.#.##......##.#.....##.........##.#......##.#.##.#.##.#.....###.#.###...#####.#.####..##.#...##.....#.#.#.#.####.####.#.###................###..............##.##......#.#####.##.########...#..#....#....#.#.##..#......######..#....###....####..####..###.##.##.#.#.#..#
#........#.###.##.######.###.#####..##.######.#####.#...#.#......###.##.##.##...###.#.####.##.##.###..######..#....#####....##....#.####.##...#.###...###.###.####.#.#.......####....####.###.########.######.#######......####..#.####.###..#.##.###########.##.#.######.#.######.#####.#..........##.........#######.##.##.##.#..#..###.###########..##.#####.#.#.#..#.##.##....#...##.##...####....##.#.#########.#.##.####.######.###..##..###...#.#....#.#.##
###.#.##.###.##########...##...##########..#...##.#...#.#.##.##.##...##.##..###.#...#....#########.#.####.######.###.....#.##..#.##.##.#####.######.#..##...#...######.####.##.#####...##...####..#..####..........###.##.##..#.#####.########..#........#.##.........##........##....######.####.#####.##.#.###.#.#....###...#.##...##.####.#.###....###.###.#.......##.#.....######..###..#......##...........#.#.............##.....#######.#...#.....####.#.##
#...###...##.##.##......#.##.###..###.#.##...#......#.#.###..#...##.##...##...####.##.#####.##.#...............###...#.#.###..##.#####...#.###.#....##..#.###.###...##...##.......##.####.#..#.#.##.###...#.#.#.####.###.....##.#.#.....#.#.###.#.##.#.#.#..##.##.######.##########.#......######...#.####.#.......##.#############.##...#.#.....##.###.#.#.#...##.##......#######..#.#####.#.####.###.#.#.####.....#######.#.#..#.#####.##.#....###.#.######.#..#
#.#.###.#.#..#..#..#.##.#.#....#.##.#...###.#######.###.##..###.###.#..#########...##...##...#.##.#.#.###.#.#.##########...##.##..###..#.......####..##.......#...#..#.#..#.#.#.#.##.##.####............#####.#.......###.##..###.##.####....#########.###.###..#..##..........#..#.##.#.####...###...##.#####.#.#..#####.#.####..#.#..#...#.###......#.......######..#.#.###.#....#####.####...##...#####....###.####.#########......##..#.#.#.######..........##
#####.######.##.#########.##.#.#....###.....#.......#....#########..##..##.##....###..#..###......###.#######.....####...########.....##.#.#######..##..#####...#.#.##.#.########..#......##.##.#.##.########.##.###.##.#########..#.#.##.####.#.#...#..#....#######..##.#.#.#...###########..#...#####...#.###########.#.#...#..####.##.#.....##.#.#...#####......##.###.......#####..#....##.##..#....##.##..######.....##.#.####.#..##...#.####.###.#.#.#.##..#
#......##.......#.##..##...#.#.##.#.....###.##.#.#.##.#.####.#.#.#.####....##.##.##..########.###.#...#....##.#####....#....######.#####.#.....#.#.####....####.###..#.#####....##.#.#.#.###..###.##......#.#.####.####.###.###.##.....##........#.######.#######..##.########.###.##.#.##.##.###...##..###....##.##..#.#.#.###.##.#..##.#.###..#.#.###....##.###.###...##.#.####.#.##.#.###########.#####..##........#.#......##########.###.###....###.#.#.#..##
#.##.#..#######....##....#.#.#.##########...##.#.#.#..####.#...#...##...#.#####..###..##......##..#.#...####...###..#.###.#...##.......####.##...#.##...#.##..#..##.#####.#..#####.#.#####.#.###..####.####.###.##..#.#.#.#........###....########....#.........##.#...##.#..#####.#..#.#.....#########.....#####.###.#.#............#####...####.#.#####.##...####...###..###.##.#.#......#.##.#######..#.##..#.#########.#.#.....#.#.#..........##..##.#####.###
#######.##.#..####.####.##.###.#..........#..#.######.#..#.###...#..###.#.....##...##########..##.#.#.#....###...####...#.#.#.##.#.#.#....#..#.#.#..###.#....########...#.#.##.#.###.......###.##...##.......#...##.#.#.#...###.#.###..#.#####.##..####.#########....#......##.......##.#.##.##...#.##..#####.##...##.....##.#.#.#.#...##..#....#.#.....#.##.#...####...##..##..#.#...######..........#.######.#.........#.#.#.#.#...#...##.###.#.######..#.##.#.#
##.##.#.##.##...........##...####.#.###.#.##.#.###....##....##.#.##.##..#.##.#########.#......##..#.###.#######.##....#.#.#.######.#####.##.##.#.##...#.#.##..........###.#......###.#########.##.#.#..###.#...###........#...###.#.##.#........#.##..............####.#.##..###.#.#.#.....#####.##.##.##.##..##.#######.#####.#.#########.#.#.#####.#.#####.#.###.##.#####..#.##...######...#.#.######...#.##.##.##############.#.#...############....##....#...#
#.............#.#.#.#.#.#..####...##############.########.#..###.##.##.#######...........##.#.###.####...#.#.##..###.######..##.#.....############..########.######.#.......##.#.#.###.###......#.#.##...#.#.#...#.##.##.########.#..####.#.#.#......#.########.#.######..##.....#####.###..#.#...#.....#..#.##....##..#.....#.#......##.#.#.###.#.######....#...#..#.....##....#.#####....#########.#..#...##..#.......#.#....###.##.###.##...#.##.#######.##.#.#
##.##.#.###.#.#.#####.####....##.##......#.##.##.#.###..####......#..#.....######.##.##.##..#...#..##..#......#.##...#.##...###...#.###.#.###....##.##..##.......#######.#.#####...........##########..#.#.#.#.#....#..#........###.###.#####.##.##.##........###....######..#######....#####...#...###...##..#.######...#######.#.##.#..#.#............#.#.###.##.##.#.#######.......##.###..##...#...##.###..##.#.#.#.....########..##.....#....#.#..#.#######.#
#######.#...#.#..##....##..#######..##.#.........#.#.##.########.##.##.###....#.###...########.##.####.#.#.#.##..###....###...#.#.#.........###.######.#####.#.#......####.....#.###.##.##.........##.##.#.###.#.##.#.############.......#.#####..#..##.#.###...####......##...###.##.###.##..#.#.#..##.#####.#.#..##..#......#########.#####.#.#########.#.##.....####......##.#.#.#....#.##..##.##.######.##################.....##....#.########.#.##.......#.#
##......#.#.#.#.#####.####..##.#...##..###.#.###......#.#.#.##...##.#....##.#...##..####.#.#....###....#.#.#..#.##...##...##.####.###.##.####.#....#.#.##.####.########..##.#.########...##.#########..#.#..####.####............#.#####.....#.#######..#...##########.####..#.............#.############.##......###.#########.#.##.##..##################.##.#.#....#.#.##.##.###.####....##........#.##.....#.#.#.#.##..#...#.#..#.#.##....#.#.#.#.#..#.#.#####
#..#.#.###########.#...#.####..#######.##..###...#.##..........#..####.####.##.##..##.#......##...##.#.###.#.##..##.##..###.....#...####.##.#.#.####.........#..###.....###.#........##.##..........##.####....#....##.#.##.#.##......####.#.........##.#.#..#.#....##..######.#.##.#.##.#..........#.###.#..#.##........###..........#.##.#.#.##.......########.#.##.#.#.##.##..##..########..#.####......#.###..........##.##########..##.#...........#######.##
##.###.##....#.......#...##...##.##.####..###..#########.####.###..##.....#..#####.##...#.#.##..#..###...#.#####.#..###.##..#.#.###....#...........#.#######.##...##.####.###.####.#..#.##.#.#.######.....##.#.####.####..#.####.##.#..#####.###.#####..#.##...#.##.###.#.#..#.#..#.#.#..##.#########...#.#.############.....##.####.##.........#.#######.##.#####..#######...##..##..........##....#.#########..########.....#.#.....#.###.#.#.#.#.#.###.#.#....#
####....####.#####.#.#.###..#.......#.#..##...###........#....##..##..###.#####.#...###.#.###..######..#.#..#.##.##.#.#..##.#.#..###.#.#.#.##.######....####.#..###...#.#..##.############.###......#####.##.#...##.#.########.#..#.####..########...####.##.#...##...#.....####.####.#.##....#.#.....###.#.####.#.###########.....###..#.#.###....####...#....#######.#.####.##.##..####.##.#####.#####.##.##..#########.#####.#.#######...#.###.###.........##.#
#....#.##..........#.#...##.#.###.#...#########...####.#####.####..##..##.##....##.##...######...##...##.##...##.#....#.##..######...#.#.#.##........####..####.....#.....##.....##.##.#.#..##.##.#....##..#.#.#.##......#.##..##.#..###.##.#......###..#.##.###..##.###.#.##.####.##.#####.#...#.#####.#.#..#.#.............###.#..#..####...##.#......#...####.###........#.##..##....#.##.#.#####.#.#.....##.........###............###.##..##...##.#.#.#.#####
####.######.#.#.#.##.################.#.##.#####.###.#.##......##.###########.#....##.#.#......######.##..##.#####.#.######.##.#.###.#.###..##.##.##......###.#.##.##.##.####.##.........#.###..#.#.####..####.#####.##.##....########.#......#.##...#.#####..##.###########........#.##.#..#.#.#..###..#...##...#.##.#.####...#.##...##.#######.#.#.##.######.#.....##.##.####..####.#.####...#.##......#.#....#######..##.#######.#.##.#######..#.##.#.#########
#.....##....#.#.###..##..#.#.##.###........#...###.....##.##.###............####.#..#.#####.##.###.#..#####......###.#.#...........#.#..##.##...#..##.#####.#.###...#..#....#..##.####.######..##.#.#.##.###....##.###.....##....#.#.....###.##..###.....#.##.##......#.#....##.#####....#.##.###.##.##...#....###..###..##..#.#.###.##........###.#..####.##....######.####.###...##.#....#.#...#..#.#.#####.#.......####........###.....##.#.#######.####.#.##.#
##.############...##..##.#..........######.###.######.##..#..#.#.#.###.##.####.#.#.####.....#....#.##....##.####..##...#####.#.#.###.##..#..##.###.##..........##.####.##.####.##....####.#.#######....###.####......##.##..##.#.....###..############.#....#..###.####.#.#####.....#.#.##.##......#.##.###################.####..##.#..#.####.##########..#..##......#.......##.#..#.#.##.###.#...####.....###.#########..##########.#####.....##.##............#
#..#...#.###.###.##..##..###.#########.#.#.#...#......###.##.#...#.##...#..##....#.#..#####.###.##....####....##.##..#.##....###.######.###.##.##...##.#####.###.....#.##..#.#.##.######..#...#.######..#.....#.#.#.###.###.####.#.#..###...##.#.#.#############..............####.##.#..#.##.##.#...........##...........#....#.##....##....###.##...#.##.#.########.##.#####################.###...####.#...###.#.##....####....#.###.#.#.#####...###.#.#.#.##.#
#.####............##.###.#.###.#.####........#...#.##...######.#.#.##.#.#.##..#.####.##.###.##...####....###.###..##.######.######.......####..###.##..###########.#.#.##.##.#.##....#.##...###....######.#######.###....##....###.##...###...........#.#...##.###.###.#.##.########..##.######..##.#.#.#.##....#####.######.###..#.#.###.#####.....###.#.....#.##..#..####..##......#.##....#..####....###.###......##.####...##....##...#.##.#..#..##########..#
#.##...###.#.###.#####...#.##....#....#.##.#.###.#.#..#.###....#.#.##.#.###..#####...##.#...#..#...##.#.##.....####..###....##..##.#.#.###.#####....##......##.#.#####..#....###..##......#.....#.##.###.......##.#####.####.#######..#..##.#.##.##.#.#.#.###...##...#.#..#........##..#....####.##.#.#.#..####.....#......#...#.####...###.....#####.#...#.#......######.##.##.######....##.##...#########.#.##.###..#.##.##.######.##.###......###..........##.#
#.##.#.#...#.#.....#####....##.#...##.#.####.#...#.#.####...##.#.#..###.######.#.###.##...#.#.##.###..#..###.#...###...####.##.##..#.#.......####.###..##.####....#..#########...##..#.#.##.##.#####.#.#.########...#.###.##.......#.##.##..#.#######.......#.####.#.###################.##...##..#.#.#.##...##.##.###############.########.#####.#.....########.#...##.#.##..#......#.##########......##.###.##..#####.##.##.##.#.####.....#.##...#.#.#.#.####..#
###..#.##.#####.####.####.#....#.#.##.#.#....##.##.#.##...####.#.#.##.......##...#......#.#.###...###.##...#.#.#...#.#.#........##.#.###.#.#...##.##..##.......##...####....#######.##.#########.....#.#..#.#...###.#.....##.##.#######..##.#....#..##.#.####....#.#.....#.#.##...#..#######.##..##.#.####.#########.##.##.#######...##.#.#.##.##.#.######.#...#.##.##..#....##.######.####.######.###.....##.#..##.#...#...#......##...#.#.###..#.###.#.#....##.#
##..##.#...##....##..#....#.##.#.#.######.##.#..#..#.#######.#.#.#..##.##.#.####...#.#.##.###...#..##.##.###.###.#.#.####.#.######.#.#...###.#..#####..##.########.###...##..####.###............###.....##...#...####.########.......##.##.##.###.###.#......############...##.###.##.###.#..##..###.###......................#.##.##.......#.##.......#....#####.....##.#####......#.#.....##..#...#######..##.##...#...#...##.###..#.###...#.##..##############
#..######.######.###.#.#.#####.#####.#.#..##.##.#.####.###.#...#.#.##..#..#...###.####.#...##.#.##..#.##...#########.##...#..###.#######..##.##....##.##..#####..###.#.#####.......###.#######.#..###.#.##..#########......##.##.##.####..#.##.......####.#####.#.#.###.##.####............####..##.....##.#####.##.##.#########.##.###.##.#...##.####.##.##....###.#####.#.##..######...#.#....########.###.##...#.#######.#.##.....##...#.#.#.#####.#.#.#.#.####
#.###.....##.....#...#####.#...##.#......######.######.......#.#.#..#####.##.##.#..##..#.#.##.#.#..##.#..#.##......#..###.##.....##.#.#..###..#.##.##..##.......###........#.#.#.#..##....#######..##.#....######...#.##.#.....#.##....#.##.###.##.#...##.........#.#.#....##.#.####.#.#.#...##.##..#.#.#......#########.....#.#.........########...####..#######.#####.....##.###...#.######.#...##.#...#.#..###.......########.##.####.######...###.....#....#.#
#.#.###.#..###.#.###.........###....#.##.##.##..##.#.#####.###.####..##...##.##...##..##.#..###.#.##..##.#..#.######.##...##.#.#......##...##.###...##..#.#.#.#...#.########.###.#.###.##.....#.#.###.#.#.###.#.###....####.####.##.##.######....#.#.#.#..##.######.....##........#####################.##.######.....#..#.#.#.#.#####.#....###.#.###.###...#..#......#.######.....###...##.########...#...##.....#.#####......#..#...##....#######.#.#####.####.#
###.....##############.#########.#.##.#..#..#####....#####.##.....##..##.###.#..#.########.##...########.##........######..#.#.##.#####..###....##.##..##.#.#.#.#........#######.#...#..##.#.##.#...#.#.#...#.#.#.#.######.....#..#.##....##..#.##.#.#.##..#........#.#.##.##.#.#....##.#####.##.#.#.#####........#.#...######......##.##.###.#.#.#.#.#.#.###.##.######........#.###...#.....#.#.#...###.#....########....#.##.#.###.##..##...#####..............#
####.#.##..#.##.##.#....##.......####.##.##..##...##........##.#.##..##..##..##.#..##......####...##.#....##.#.#.#.##.#...##.#.##.....##...##.#..#####.##.#.###.#.##.#.#....#..#.##.##.##..#....#.###.###.###.#..........#.##.##.#####.######.#.######.###.#.##.#.##########..#.######...#.............##..######.####.##.#.#..#.##.#...#...#....................##.#.#.########.....#.#.###.......########.#..###.##..##.#.######.####.##..#.......############.#
#.##.#.###...........##.####.###.##...####..####.####.#.##.##..#..##..#.####..#.##..###.##...##.#....##.######.###....#.#..#.#.#..#.#.###.######....#######..##.######.######.####..########.####..##...#.......#.##.###########.....#..###.#.#.#....#...#.#..#.#.....###..####......#.###.##.########..##.....##.###..#......##.####.###.#...#.##.#.#.#.#.#.###............#######.##.#..#####.##.....##.####......#.#####..##.##.##.########.##.#...#######.####
#....###...###.#####..###....#...####.#.###.##.####.#.#.##..#.###.#..##..##..##.##.##....##.##..####.##....##....##.#.#.#.####.##.#####.#....#.####.....##..##...#.###.........######.#.###.....#.##..#.#.##.#.##..#.........##..##.###.....#.#...#.###.####.##.##.#.##.#.##.####.##.....#..#......####.##.#.#.##...##...###.###....#######.###..#.#####.########.#.###.#.#.......#..######.#.#####.##.....#.#.#.####..#..#####.#......#.#...#.####.#...........##
###.############.....##...#.##.#.#.####.....##.##.....#..##.#..##.##..##.#..##..#..####.###..##....#..##.#.##.#.#######.#....#.#........##.###....#.#####..#####.....#.####.#.##.###....#.##.#.########.#..#.###..##.#######..#######.#.##.##.#.######..#.##..###..#............#..##.##...###.#.###..####.###.##.#..#.###.....###.###....#...##.#....##....#...###...#####.#.#.####......#.#.###.#..#.###...#.#..#.#.##.####.....##.#.....###..######.##.#.###..#
#.###.........####.#.####.#..#####...######.......##.##.##..#.##..##.###.#.####.##.#....##..##..#.##.#####..#.#.......#.#.####.##.##.####...#..#.##.##.###..##...##.##...####.##.#.#.##....########.###.#.##..##.##........##.........#..####.#......##....#.#####.#.###.##.########...#.#.#.#####.#.####....###..##.#######.#####.....#.##.#..########..##.#.#####.####.#..#.#....########.#.....#.##...#.#.#.##.........#.#.##############.####....####.#...##.#
#..##.#######......#....#######....#..#..#..#.##.###.#...##.#.##.##....#.###.####..#.##.##.####.#..#.....##.####.####.#.#..###.##.##....#.#...##.##......#.##..#..#..#.#..##...#.....########.#.#.#.#.#.###..#####..#.######..##.#.########.####.###.##.#.##....##.#..##.##......#.#####.#....#.#.....#.##.####..###.....##...#..##.#.########.##.##..##.####.....#..#...#.##.##.#####.##.#.#.#########.##.#.###..###.##.##.........#.#.##....##..#####.##########
##..######.#..###.###.####....##.####.##.####.#..#...##.##..###...##.#######...###.######..#....######.#.#####.#....###.#.##.####.###.#.#.#.#.#####.###.######.##.#.##.#.#####...##.##.##.#.#.........####..##.###.##......##..###......##....##.###.##.####.##..#.#.###..##.#.#.......###.####.#.##.##..#....##...##.#.##..#...##..#...#...##.......#####.##.########.#.#..###...##.#.##......#.#.#..####.#.####...####..#.##.#.##...#....##..#.###..#..#.#.#.###
###..##......##....####....##....##........#..#####.##..###.##..#.##.##.#..###.#.###..###.##.##....#######.......######.#.......#.#...#.#.#.###.......###.##....#.#.##.#...##..#..#.#...#.#.#.#####.#..#.#.##....#####.###..##.############.####...#..#....#..#.####.#.##..###.#####.###...........#....##.####..###..#..##.##.####.#.#...###..#.######.#.........##...#######..#.........##.###.....###.#####.##.####.####.####..#.###.########.#.#.##.##.......#
#.##....#.##..###.##.#####..##.#.#####.#.#...##......##.#...##.#####....##.......####.#...##.#..##.....##..#.#.#......###.#.###.#.###.#.###.####.#.##......########..####.####.#.##.#.#...........####...#....#####.##...####.......#...#......##.###.#.#.###.###.#.....####.......#..######.#############.##.#######.##..#..#.#.#######.#######..........##.##.#....#..#.##.##.#.#.#.##.##...#..#####.#..#.##..#...#....##..####.#.#.#.#.##.##............##.##.#
#.##.#.##.#..##...#....#...##..#.#.....#.##.####.#.####.##.##..##....########.##........#.##.##..##.##..##.#.####.#.#####.#...###.#...#.##....####.##.##.####...###.##.....#.###..#...##.#.##.#.#...##.####.#####.#.##.########.#.###.###.#########.#.#.###.#.....##.#########.#.####.#....########.##.#.####....#.###########........##.....####.#.##.####..#####.#.#.##.....#.#.#.#.##.####...####.#...##.###.##.##.####..##.######...........##.#.#.##.##...###
#..###..#.#.##..#.####...#..#######.##.####.##.#.#....####.##.####.#....#.#....##.#.##.##.#####.##..########.##...#.....#.##.######.#.#.###.#....###..##..#...###.#####.##....##.#####################....#.........##........######...##...........#.####..#.######..#.#..#####...####.#####........#........####..##......#####.#.#.#..#####....#.##....##...#.###.#..#.#########.#.##....#.#........####..##..#.##..##..###....####.##########..###..#####.####
##.....####.###.####...#.#.##.#......####...#....#.##.##...#....##.##.#...#########.##.##...##...##......##..#..#.#.#.#####..#....#####...###.#####..####...#.......#.#####.#.##..........##.#...#...###.##.#####.#..##.#.######.#.#.###..########.#####...##....##..##...##.....#...##.##.#..##.#.#...###########.##..##.#.....########.###.###.##.###.#..#.#.....#.##......##..####..#.##.#############.#.##..####..####.#.#.####..#.##.##....##...##....##....#
####.#..##..#...#....#.#.#.##.#####.##....#.##.#.#..#.##.#.#.#.##..##.#.###.........##.##.#..###.##.#.##.##.##.##.###....###...#.##.....#..##.....##..##..#.####.####...##..#.##.###.#.##......#...#######.....####.########.............##...######.#...###..#.####....#######.##.####......###.#####..##.####.....#.#################........#.##...###.##.#.##.##.##.##.#..##...##.##.##.##..........#.#.#..##.###.#.##.......###.#.#.....######.##..#.##..#.##
#....#.####.######.#.#.#####.........##.######.#.##.#.##.###.#.###..#.#.#.#####.#.#.##.#..####....#.#.##.##.#..##..###.###...#########.##.####.#.###.######.#######.#.#####.#.#...####..#.#.#.##.#......######..#####.##.#.#.#####.#.#.#....#.#...#....#..##.##...##.#.####.###.##......######.####.###.......##.##....#.#.###.##.#.#.##############.###...#.#..#..####..#.##.#..#..#.#####....##.#######...#.##...........#.#.###.......#.#......#..##########..#
##.#.#.##...#......#.#.#.....######.##..#......#.##.#.#..#######.##.#.#.#.......#.#.#..##...###.#.###..#.##.##..####.....###......##...####.##.###...##.##......#......##.######.##.##.##.#.######.##.#.....###...##..#.......#.####.#.##.###...#...########.##.###..#....#...#.#..####.........#.#...#####.####..#.##........................#.#..#.#...#.#.#.######.##.###....#####...#.#.#####.......#.###..#.##.#.#.#.##.#.....##.#########.###.####..#.###.##
####.#########.#.#.#.#.#.#########..###.#####.##.#..####......##....#.#.##.##.###.###.####.##...#..##.##.#..###...###.#####..######..#......##..##.#.#...##.#####.####..#.###..#.....#..#.#....######.#.#.#...###..##...##.#.##...##.###..#########........#.##...##.#.##...######....#.#.#.###.....#....#####...##..###.######.#.#.#.##.#.##.....##.##.###########...##...##.#.....#.#.#.......##.######.#.#.##..###.#.#..#########.........######......##.#.####
#.##.###.#######.#.#######.........##.###.#...#####..##..##.#####.#.###.#..##.#....##.#.#...##.##.###.#####.#.##.##.......##......####.#.##..#.###.#...#.#...........####.#.##...######.######......#.#######..###....#.##.###..#########.........##.##.####.##.###..###..####.#...#.##.###.######.##.##....#..#..##..##..#########.###..#.#..#.#..#.#......#.#.#...####.#..###############.#.#.####...#.......#.############.##.###########......##.###.......#.#
#....#......#.#######.#######.#.#####.##....#....##.####..#...##..#...#.##.#..#.#.##..#...#######...#...##..#....##.##.#.##..#######...###..####.###.#.#.#.#.#.##.##.........###......#.##.##########.##.#.###.#.###.#########.##.#.#..##.#######.##.##....#..#...##...##......###.#.##.##......##..#..#.#.##.#####..####........######.#####.#.#.####.#.##...#...####.#######.#.###.#.#.######...###.##.#######.#.............#...###.#.###########...##.#.##.#.#
#.#######.#.....##.....#......#####...#..##.#.#.##....#####.####.###.########.###.##.##.#...##....#############.##..##.#.###....##...#...##.......##.#.#.#.###..#####.###.#.###..##.#.#.#.........#####..#.#.###...###.##.##.#........##........#..####.#####.#.###..#.#####.#.##..#..###..#.###########.####...#.##.#.##.###.##..##..#.....###.#..##..###..#...###.#..............#.#....#####.#.....##.#.#.##....##.#.####.#...#...........##....#.######.##...#
#####.#########.######...##.#.###...#...###.#.#####.###........#..##.#.#########...###..#.#######......#..####...##..#.#.#...##..##.##.#####.#.#####.#.###..###....##..##.#.#.##..#.#.#...##.#.####.####.#.#.##..#####..#..#...#.#.##.##.#.#.#.######.#.....#.#...#.##...#####..#.###...####.........#.#..#.#.#....#...##########....###.#.####.#.####..#######.......#.##.#.##.####.#.####.#.###.######.#......#.###.#....###.####.#.#.#.##..#.#######.#######.##
##.......#.##.....##...#.##.###.##.####.##..#.#.......#.#.#.##.#.##..#..##.#.....#.####.#..##.....#.##...##.#..#.##.##.####.##..###.##...#.#.#...#.###...##...#######.#######....######.#.#######.....##.#....#.##.#.##.#.##.###.###...###.#.#........#.##.####.########....#####...##.##....##.##.#...####.#.########..........##.#...#####..#.#....##..#.#.#####.#.##.##.#..#................##..........#.#.####.#.##.########.#####.#..##.................#..#
#..##.##......###.######.##.##......##...##.#.###.#.###.###..#.#..#####.#....##.##....#.#.#####.#.#.##.###....##.##..#.##.#.#####.###..###.#.###.....##.##..#...###.####.#.##.##......###....##.#.######...##.#................#####.#...#####.###########..##.....#...##.###...#.#.##..##.#..#.##.#.#..#.#........####.#.###############.#..####.##.###........##.#..#.#..##.##.##.#.#.#.##.#..#.#.#.#.#.####......####.............##.#.##..####################
#.##..#..###.##....#......###..##.#.#..#..###..####..##...##.#.#.##.......##.#...###.##.#.#######.###..#.#.##..#.##.####............##.....#..##.######..##.###........#....#####.#######.##...........#.#.####.#.##.#.#.####.####.########.##.#.###.....###########.#######..#########..#.#.##..#.#.##.....#.######.##########.#.#.#.##....##.#######...#.#.#.###########.##..#..#.###.#..#.#.########.#....##.#.####.####.#.##.#####..#..####.#..#..#..........#
###..###.##...##.#...##.####..##..#.#####.######....###.###..#.#..#######.#..##.##...####..##..#....##...#.##.####...##..##.#.#########.##.#####....##..###..###.#.#.#.#.#####..........#####.#.#.#.##...#...##.###############..#..#.......##.......###.##.#.###.##.#.#.#...###.#...###.#.#.#..######..##.##.#.##.#.#.#.#...............##.......#.####.#.######.#.##.#.###..##.##...###.####......######.#..#.#..#......#.####.....#######.##...##.##.#######.##
##..##.#####.######.##..##...##..######.....##.####.##....#.##.####.##.#..##.##.####....######...#.###.###..#.#.##.#..##.#..#..#..#.##..#...##.##.#####...##..########.......####.##.##....####.######.#######.....##.##....###.##.##.########.#.#####.###..#.#.#.#........###.....###.#####.##..##.###.#####..............#################.####....##..#.................##..###..###......####.#......#.#########.##.###....#.###.#.#........#.........########
#..##.........#.#....##.#..#.###.#......#.####..###..#.#.########....#...##..#.....##.#####..##.##.##..##..####....##.#####.##...##..####.#.#..##.##.#..#..##...#.#.###.##.####....#.##.##..###...##.....####..#.#.....##.#..................###........#..##.#.....#.##.#.....#####.#...#######.....##...##..#.####.#.#.#...............#.#########.##.##.###.###.#.#.#.#..##..###...##.##########.#.##.#...#.##..#..#..####.##.#####...######.#.##.######....#.#
#.###########.#...#.##..######.######.#.####.#.##...##.#..###.#.####...#.###.##.#.##........##..#..##.##..##.##.##.##....##.##.#....###...#...##.....##.#.##..#.#.#...#.##....##.#.#..#####.#.#######.##......####.#.#....###.#.##.##.##############.####.##....##.##..#.#.#.#.......#.###..##.#.#.#..#.#.#..#####.#.#.#.#.#.###.#.#######.##.....####..#....#...#######.#####.##...####..........#.#..#.#.#....##...###...#####....#..#....###########...#.####.#
#..##.........#.#.#.#..##...##.###....#.##........#.#..##...#.#.#....#.#..##.##.#.#..#.##.########.##..##.....###...##.#.##.##.#.##...#.#.#.#..##.####..#..##.#.....#######.###..#.##..#.#....#####....#.#.##....#.#.#.#.###############.....#.##.#######....#####..#.##.###.#.###.#.......##....#.#.##.#.##.......###.###.#######............###....##.#.#.###.############...##.#.##...##.#.#####.#.######.####..#.#.###...#.####...#######....##.#...#....#...#
##..##.##.#.#######.##.####....#.###.##.###.#.#.#.#.##..###.#.....#.####.##..##.###.##.##.##.#.#....##.##.###...##.#######...#.###..#.#.###.##..#....##.#####.#.#.#...##..#..##.##..#.##.####.....###.########.#########......###.##.##..#####..#...#.....##.....#############...###.##.#.##..##.###..#####..#.###...#..##.......#.#.######.#..##########.#...#....#.#.###.#####..#..#.#.##.#....##.#..##..#......##.....##.##.####.#.........#####...########.###
#..########.#..#.#######.###.#........#.#...#.#.#.#####.##..#.#.#.#.##....##.#...##..#.##.##.....#.##...#...#.###.....##...###.####.#.#.##..##.####.###.....###.###.#....###..#.##.##.......##.#####......#.##...##.#.##.#.####.#.......###.###...###.##.#########..##.##....#.#.###########.##....#.###.###.#...#.#.##.##.###################...##...#####.######.............##.#.####..#.#.#.###.####..##.##.#..#.#.###........#.#.#.##.##.####..#..#.##..#...#
#.##.#......##.......##......##.#.#.#.#####.###.#..#.#...##.#.#.#.#.#..#.##..##.##..##..#..##.#.##..##.##.#.#.#...#.#..###...#...##.#.#.##.###....#...#.#.#.###...#.##.#..##.##..#.##.#.##.###.....##.###....#.#..#....###........#.#.#......##.###.#.#####.##...##.......#.######..##.#.#.######.##.......#.#.########.##.........##........##.###.###.##......##.####.###.#.###.#..##..##.###.##.......###..###.####...##.#.##.############....#.#####.###...#.#
####.##########.##.#....#.#.#######.#..##...#...##...##.##..#.#.#.######..##.#..###..#.##########..###.##.#.###.#.#.#.##...###.###..#.#.#..#...#.##.#.###.#.#...#.#.####.##...##.#..###..#...#.#####....#.##.#.##...##.#####.##.#######.##.#.....##.....#.#....#..#.##.######.#.##.###......#.#.#..#.##.##.#.#...##.#.####.#.###.#..##.###.######........###.#.##############...#.#.##..###########.###.##.#.###.....##.###.#..#...#.#.##...#.####.#.###.#.#.#####
#..#.##.#.###.#.#######.#.#.#.......#.#####.#.#.##.#.##.###.#.#####......##..##...#.####.###.#.#..###..##.#...#.#.###.#..#.##....##.######.#.#.#..###.##..#.#.###.#....######.##.####...######....###.#.#.########.###....########.#.#######.#.#....#.#.....##.##....#...#.##....#..#..######.#.####.#######.#.###.......#.#...######....###...##.######...###........###..####.#.#.###.....#....##...###..#...###.######.######.#........###..............#...###
##..............#.......#####.##.##.#...##..#.#.######...##.#.##....#.#.####.###.####.#..........##...###.#.#####.#...##.#..##.###.....##..#####.##....#.##.#..#####.##########....##.#..###.#.##..####.#.....#.##...##.#................##..###.##.#.##.##..#.##.#####.##..#.####.##.###.#........#....#.########.#####.#.##.###.#...##.....#........####...##.###.#...##...##.#####.##.##...#.##..#.....###.###............###.####.#.#..##.#.#.##.#.#.#...#...#
#..#.#.##.##.#.##.#.#.#.#.....##.#..##.##..##.#......#.#..###..##.###.#.#.#..#........#.#.#.##.#.####...#.#..#.#..#.#.##.#.##..###.#.#..##.##.######.###..#.##.#...#.....##...###.######.....#.#####.########...##.#..#.##.####.#.##.#######..#######..#..##.#..#...#.#####....##..#........##.#.###.##..........#.....#.#..#.......#.##########.#.##..##############.#....#..#..#.....#.#..#.#####.#.#####.####..#####.##.###......###.#.##..#.#..#####.##.######
##.####################.###.#.#..##..#.##.##..##.#.########...##..#...#...##.###.#.##.#.######.#....##.##.#.##...######..#..##.#.#####.##.........##...######....##########.#..##...##...#.#.###.##.........###.##.#.##.#.....#.###.......###.......#############.#....#.##.####..##.###########...####.#.####.#...#######.##.#.#.#.#...####.#####..##....##.#......#.##.#########.########.#.###...#..........##.....#..#...#.####..####.#####.##.....#.##......#
#####.#..........#.#....#...#.##.##.########.##..#...##...###..##.###.##.##..##..#.##.###......##.#########.#..#.##..#..##.##.......##.##.##.##.######....##..##....###.#.#.#####.####.###.#........##.#.##...####.######.##.##...##.######.###.########..#.#.########.#.#...#.##.##..........####....#.#....###.#.##...##.##.#.#.###.#..........########......######..#...###.###......##..#...##.##.#####.######.#.##.##.#.#....##....#..#.#####.##.######.#.#.#
#.......##.#####.....##.##.#####.##..##......##.##.######.....##..###.##..##.#..#####.######.#.##........##.#.##..##...###.###.######...#.#...#.....##.#.#######.##...........##...##....####.#.##.###.#..##.####......##.##.##.#.##..........###.##...##.....#....#####.#.###.......####.###....##.#####.#.###..#....#######.#.#.##..#.###########.#.####.##.#######.##.#.......#.########.#.#..#.#......#..###...#..#..###.##.###..#.#####.#.#.#..###...##.#.###
##############...#####..####.##...##.##.#.#.#####.......##.#.####.#....#.######.....#....###.#.##.######..#.#.###..###...###.#......###.#.##.##.#.#.##.###.#...#.##.##.#.#.#######.##.#.##....#.####.#######....##.######.##..######.#.#.#.##......#.###..#####.####.##........#.###....#####.#.##.....####...##.#.####.###.#####..##.#..................###........#######.####..........#.#.######.#.#######.#####.###.######...##.#...#.#.....##.##..#.##.#...#
#.#.......#....#######.##.......#.#..##.#.#.##....###.######...######.##.#......##.##.#.##...#.#......##.####...#.###..#..##...##.#..####..#.#..#.#.##..##...#....###..#.#.....#####..#..####.#............##.####......#.##.###.#.#####.#.##.####.....#.##.............#.#.#.##...##.#####.##########..###.#.##.#.......#...#.###..###.#.#####.#.#.#.##...####.#.####..#.######.####.##.##.#..##.##.#####.###.....###.###.##.#####..#.#.....###.##....####..#.###
#...#.###...#.##.......########.#.##.##.###..###.###...##....#.#.##....#.#.#.##.#####.####.###.#.##.#..#..##..###.##..#######.##..##...##.##.#.##.#.#..#####.##.#...#######.##...######.##....#.#.#.##.#.#######.#.####.#.####......#.####.##....#.#.#....##.###.##.#########..###..####.......#.#.######.#####..#.###.#...#....#######.#.....#######..#.#....#.#......##......#.##########.##....##...........#######.###.##.##.###.#.#.#.#..##..#.##...###.#...#
##.##.#...#.######.#.#..##......#.##.#...###.##....###.##.#.##.#....#.####.####.....#.##...#...#..###.##.####..##..##...##.....##..#.#..####.#..#.#.#.##...###..#.#....##...##.###.#.##.##.##.##########.........#....###......#.##.....####..##.#.#.##.#......#..#.#.#.....#.##...###...###.###.#......#....###.#...####.###.###.#.#.####.#.###.#.##.##.#.#.####.#.##....##.#.#..........######.#######.#.#.#.....................#.#.#.#.#.###.##.##.#..##.#.#.#
#...####.####......#.##.#..###.####..##.##....##.#..##..#.#..#####.##....###....##############.##...#..#.#..##..##.##.#######.####.###.###.###.##.#.#....#.####.#.##.####.#.##.......####..##..........##.###.#######..##.#.###########....##.####.#.##.#.##.######.....#.#.###..#...#.#####.......######.####.####.########.............#.#........###########...#..#.##########.#.#####...##.........#########.#.###.#.#.#####.#####.#.###...###..#####..#.#.#.#
#.#.#....##...##.#.#..#.##.##.....#.#######.###..##..#.####.##......##.########......#.##......##.######...##..##..##.......#.##....##......##..#.#.#.#.##.#....#..#..#.#.#.##.#.#.#....##.#..##.#.######...###.#.####..###.........##..####....#########.##......#.#.#####...##.#.#.......###.#####..##........#.#....#...##.##.#.#.#.#########.##...........#.#.#.##....#.#...###....##.#.###.#.##.#.........#.#########...###.....#.#####.#..###.....########.#
#.####.#.#..#.#..#.#.####...##.##.###........###.##.#####....##.##.###.##.......######..######.#.......##.###.######..#.#.#.#.####.##..##.#..#.##.#.#.######.##.##.##...#####..#.#.##.#..###.###.#......#.#####......#.#####.#.########....##.#.....#...#..##.#.#.###....##.#..###.#.#.#.#...#####.#.##..##.###...######.#######.#.###.##......######.####.######.#..##.#.....#######.#####.#...#.###########.##..##.##.####...#.#.###.....######...###...#.##...#
#.##.########.##.#.###.#..####..#...####.#.#...####.#.#.##.######..##...##.#.##........##......##.#.##.##.##...##....##.###.#..##...##..#.#######.#.#.....####...#.#..#.....#.##.#.##.#.##...#.###.##########.#.#.#.#####.####.......##.####..#.###...#.#####.######..########..##########.####.........#########.#####........###..##....##.#......#....####.#####.##..###.#......####...####.##...........#####..........#.#.#.#.#######..#.#####...#.#....###.#
#.#..##.#.##..##.#.##....##....##.###.####.##.##.........####.####.##.####.#..##.###.####.###.###.#..#.#..####..##.#.##...###.####.###.##.......###.#.#####....#.#.##.##.####.####..#.####.#....##.####.##......###...#.#...####.##.##....###.#...#####..###...#.#.##..##..#.####..##.#.#####...#.#.#.#.#.......#.......#.#.#############..####.###.#######......##..##...###.##.#...##.########..#.#.#.#.#....##.###.#.##########...######......##.#####.####.#.#
#.##.........#####.###.#..##.#..#.##........###..#.#.#.#.##.........#.##...#.##....####...#.....###.##.##....##..#.#.##.#.###.#......#.#####.#.######.....##.#.###..#.#....##..##..##.###..#.#.###.......#.###.####.#.....#....#..#..##.#..##.#.########...#.#...#.###..##.#.####.##......#.#.###.#####...##.#########.####.###........##.##.....##.........#.#.##..###.#..##.#########.#.#.#..#.##.#.#.###.##.##...###........####.##...#########...####...##.###
########.#.#..#..###.#.#.######.#..####.#.####..####.###.##.#.####.####..#.#.####.###.##.##.#.#.##..#####.#.##..####.#..#...#.####.###.....#.#.....##.##.##..#...##.####.#..######..#...##.###.##..#.#.#....##....#.##.#.##.#.##.##.##..#.##..#.#.#...##.#.#.#.#.....##..#......#.##.###.##.....#..##...######..###.##..#####...###.#.###..#.#.#####.##########..##...####.##....####.........##.##.##########..###..#######.#...##....#.........#.#..#.###......#
#..#.....#.####.##.....#.#......#.##....#.##...##.##...###..#.#.....####.#.#.#.##.....##..#####.##.##.#...####.###...#.##.#.###.....####.#.#.#.##.###..#####.#.###..##...######....##.#..#..##.##.####.###.########..###..#.#.##..#######..##.#.....#..#.#.#.#.##.##..##...#.####.#....#....#####.##..#.....#..##.#.#####.##..#..##.###.##.###....#####.##.#..#.###.#....#.###.###..##.####.######..##.##.###..####.##....####.###..#.###.##.##.##.##.#...##.#.###
##...#.#.#.#.....###.#.#####.#.##.##.#######.#.##..#.####..#######.##.#..#.#.#....###.######.#..##....#.#....###...#.#.#..#..##.#.#....#.###.#.##...##.###.###...#######......##.#..#.##.####..#.....#####........##...##########.......##..#.##.#.##.######.#..####.####.##..#.#.#.#####.#.....#####.#.#.#...###.....##.....#####...##..##########.#.#.##.#.##...####.#####.......###.#.#####.####.........##....#....####.######.##...#..#.##.##..#...######...#
#..#.#.#.####.##.....#...##..#.#..####...#...#..##...##...##.......##...##.######...#....##....####.#.#.#.#.#####.##.#.#.##.##..#.#.#.#####..###..#..#.....###.#.#.#.#...#.#.##..##.###.....#####.####.....#.#.##.##.#....##.#..##.##.#.#####.#..#.####.#######.##.####....##........##.#.#####..##.###.#.###...##.######.##..##.#####..##.....##.#.#...##...##.#....#....##.#.##.###....#.#......##.#####.##..##.#.##.........#.#..##.##.####..##.##.#...#.######
##.###.####...###.#.##.#.#..##.##.#.####...#.##.##.#..##.#######.#.##.#..#.##.###.###.########.#.##.###.#.#....##.#..###.#...##.###.###...##...#######.###...#####.#.##.##.#..#.###...##.####..##...##.##.#######..#.#.####....########.#...####.#.......#....#....##.###.###.#.###.##..####.###......###...###............#####.#.#.##.####.####.....#....#..#.#.##.#.##.##.#.##.....##.....#######.....#####.##.###..#.##.####.####..##....##..#..###.#........#
####...##...###...#.#..#########..#......#.#.##.#..#.##....#####.######.####.......##....#.#.#....#...#.#####.##..##.##..###..#####.....###..#.#...##..#####...##........###.#####..#.#.......##..####.##.......#.##.#..###.####.###.####.####...##.####...##.##.#......####..#...#....###...#.#####.###..#.##..##.#.#.###...#.#.#.#.#...##..##.##.######.##.####..#.#..#.####..##.#.##..#.#...#...##.####..#####...##.#.##......#############..#####...#.########
#.#..#..##.#####.#####..#.##.....###.#.#.#.#..###.##.##.#.##.....##........###.##.##..#.##.....#.##.###.....#.##.###..##.##..##.....#.#####.##...#####...##..###..#.##.#..##...#.##.#.###.###.###....#.##.##########.##......#.#.#....##...#.##.##.....##.######.#.#.##....##.#####.##.....#....##.###...######..#.#.#...#.###.........#..#.###.........####....####.#.##....##..###..##.#.###...###..##.##.#.##..######..#.####.#..#.#...##.####..##.#.#........#
#...##.#####.....##....##....###.##..#.#.#.##...#..#.#..#..####.######.##.##....#.##.####..##.####....#.##.########..###.#..##..##.##.....#####.###.####..##...##.#.#..#.###.###..#.#.#.....###...######.........#.###..####...#.#.#####.###.#####.#.#..####.#.###.#..##.###.....##..#.###.##.#.....######.#.#..####.##.##.....#.#.##.#####.#...##.#.##....#.#######.#..#.##########.###.#.##..#...##..........##...#..#.##....#...##.#.###....##.#####.#.#####.##
###.#..#.....##.####.#.#..##.##..###.#.#.#####.##.##.##.####....#.##...##..###.##.##..##..##....##.#.##..#..##....##...###.####.##.##.#.#...##..#.#...##.###.####.#.##.####......#######.##.##..#......##.##.##.##.#########.#.....#.#.#..#...##.###.#.###.#...#####.###.####.##.##.##..#####.##.##..##.#....####.####..##.#.#.#.#.##.#.#.....####.#..########.....#########.#.###.#...#######.#.#..####.#####.##.###.##..#.#.##.#......#.#.##......##..#..#######
#...##.########.#.##.#.##.########...#.#.##....##..#.#..##.##.#.#....#..##.###.##.##.####.##.#.##..#.##.#########....#.##...#.#.####..#.#.#####...#.###....#....#####.....#.#.##....##...##..#####.#####...#..#............###.#.#.......##.#.#....#.#.......###...#...###.##..#..#..#.##.##..######......##.###.....##..#.#####.#.##.....###....#.#.###.#.##..######.#..#.........#.#..#...#######.####..#..#..#......#.####..#.###.####.#.####.##..##.##.......#
##.##..#..........####.#.....##....#####.#####..#######.#.....#####.##.#####....#..#..##...######.##.#.......##...##.#.###.##......##.###....##.#....########.#...##..#.###.#########..#.###.###......##.#.#####.######.#.####.#####.##.###.###.######.##.##.....#.######...#.########....#####.##.#.####..#.....#########.....#.#.##.###...##.###.#..........###.#...##.#.#####.#.#.##...#....##......##...#####.########.###.#...#...........#..##..#.##.##.#.##
#...####.###.#.##...####.##.######.#.....#.###.###.##...#.##.##.....##.##....#.###.####..#......####.###.##.#####.##.#.#.#..##.##.##...##.##.##.#.##..#...######.##..##.###.........##.#..##.#...#.#.#####....##.....##.#.##.......#..#......#....#.#########.#.##....#.##.##.......##.##.......##.###########.#...###...#.#.########...#.###....#.#.#.########.#...####.....#####.#####.###.#.#..##.#.##.###.###............#.#.####.##.#.#.####..##.#..#..#.####
#######..##..#.##.###.....#...####.###.#.#.......#..##.#####.####.#.##.#####.#.#.#...###.#.##.#....#..##..#####...#..###...##...###..#.##..#.#..#..##...#..#.#.########...##.#.#.####..#.#######.#.#.#.##..#.##..##.##..####.##.#####.###.##...####.#.##.#..#.#..##.#......#####.#.###..##.####..#..#......###.###.....###.#..#..###..##############.#......###...####.#.#####.###...#.#.#.######.#..###...##...##.##.###.##.###...##..#.#.#....####..#.###.#....#
#.#.#.######.#..#######.###.###....##..#.###.#.#...###.#.##.....###..#..##...#...#.#..##.#..#.#.#####.#..###.#..####...##.####.##...##.##.##.#.##.##..#.##.........##.#.#..#####...###.#..##.....###....####..#.##...##..#.###.....##...#..###.##...#.#....####.##..##.#.#....####...##.##....##...##.######.#..##.#.#...###.##.##.##..........##.#####.#.###.###..##....#.##....#.###.#.......#####...#.#....######....###..#######..####.##.#####..##..##.######
#.......#....#.##.........###.##.#.#..##.##..#.#.#...###....#.#.#...##.##..####.##.##..###.####.....####.....##..##..###....##..###..###..####.#...#.##..##.##.#.#....###.###....#...#.#.##..#.#..##.##....#.######.####...####.#.##..####.##.....#.....##..#######..######.#...###.######.##.###.##...#..##.#############.........##.#.#.##.#....#.#.#.#......#..####.###....#.####.#...#######.##..#.#.##.####...##.#...##......##.##.##.##.....#.####.##......#
#.#####...#.##..###.#.##.##...#######.####..##.#.#.######.#.#######.##.#..##.....#######.....##.###.##...#.####.##..##...##.#..#####...##...#####.####..##...######.#..##...###.###.####..##.#.##.##.#..#.####.#.####..#.###.########....#.#..#.###.#.#.#####.##.###....##..#.#...#....##...#...#....###.##...##....#.#.####.##.##.##.########.####.#.####.#####.##........#.##......#.#.#.#.##...########...#...########.##.#.#####.....#..##.#######...##.#.####
#.#...###.#..##...###.#...###...#.#.###.###..#.#.#.....####.##.#.#...#.#.##..#.#...#..####.###....#.##.#.#....#.#..####.##..##..#.###.##..#..###...##..#####.....##.#.##..#..##...#...##.##..#.#..####.##...........##...........#.##.#.#######...#.###............##.#.##.##.#.#.#.##..##.##.#.####........#....####.#....#######.##........#####......##..........##.##.#####.########........#........###...#........##########.#######.##........###..######.#
#####.....#.####.###..##.##.###......##.#...##.#.#.#####.#..#....#.#.#.#.#..####.#...##....##..##.#.##.#.###.##.#.##.#..###..##....##..##.#.##...#..##..##...#.#..###..##.##..#.#.##.##...#.#####..##...#.#.#.#.#.######.#.##.##...##.###.#.#...#.#...###.##.#.#.#.#######.##.#.#.#..#.######.#..##..#.#.#.##########...#.####.#.####.##.##.####.#.########.#.###.###...#.....#......##..#.##.#####.#.##.#...#.#######.####..###.#......##..##.##########.##.##..#
##.#..###.#..##..#.##.##.#......##.#......####.###....##...##.##...#.#.####.##...#.#####.#..##.##.######.###.##.#.##.##...######.###..##..####.#.#.##..#####.####..###..####.##.#..#####.####.#.#.####.##.#######......#.#..####.####..#....##.######...#.########...#.#.###..#.###.#####.....##..##.#.###...###....#.######........######.........#.####...#..##...##.##.#.#################.#..#########.#.#...##.#####.#.##.#.#.####..##########....##.....#.##
#....###..#.####.#.#..####.##.#..#####.##.##...##..#.#####.#..###.##.#.###...##.##.....#.##..####.....##...#.##.####....#.####.....##..##....###.#..#.##.#....####...##..##...####...##..##.........##.##......##.###.##.##..#.#....##...####....#.########.#...##.#.......##.#####.#.#.##.##..##.#..#...###.....##......#...####.####...###.#.###.#.#..##.#####..#######.#...#######.#...#.#.#.##.####....###.#....#.#.#.............##.####.#.....#######.#....#
####.#...##..##..#.##..###.#..####.....##.##.#.#..##...######..##..#.#.#...#..#.#..#####.#..####..#.#.#..#.#.##..##..#.####....##.##..##..#.##...#.####....##..#.#.#..##..##.###.###..##..###.#.#.#.##..##.#.#.##...########.#.##.#.###.##..##.#..............######.###.#.##.....#......####.######.#.#...##.#.####.#.#...#...##......#...#.#..##.....###.....##.......#.#.###.........#.#.#....#..#.####...#.##.###.#.#.################..#...#######...#.#.##.#
#######.####.###.#....##...##..####.#.##..##.####..###.#.#....##..####.##.##.#####.....####....#.##.#.#.####.#######.###.###.#.#...########..#.#.####...##..##...#.##.#####......########.##..#.#.#..##.##.#.#..#.#..#...#.#...####...#....##..#.#.###.#.##.#..#.###..####..###.###.##.#..##..#.##.###.#.####.#...####.#.#.#.####.#.#############..#.###.###.#.##.#########.....###########.####.#.##.#.#########..............#......#.#..##.#.....#.#.##########
#.........##..##.#.#.#####..####.####.#..##..###..###..#...#.####..##..#..#...##...#.#.##...####.##.#.#...##......##......######.#.....#######.#.###..########.###.##.....###.##......##...##.#.#.####..##.#.#######.#.###...#...##.#####.######.#..######..##.....####..##...#..##..#.#.####....#.##..####.#.#.#....#.########.###.......#.#.#.####.......#####......##.######......###.##..#.###.#......##.##.###.##.#.#######.##.###.#.###.##.#.##.#..#.#.#...#
#.####.#.####.######..##...#####.#.#..#.######.##...#.##.#.#.##.##.###.#####.####.#######.#....#..###.#.#.###.##.##..#.##..###...#.#.#....######.#.####..........#..##.####.###..#.##..##.##..###....##..#.#.....#.#.....###.#########.####....#.##...#.######.###......###.#######.######.#..####..##......#.#.##.###..##.......##.##.##..........#.#.#.####..##.#.#.........#.#.#.##....#.##.##....#.##.#.......#########.#.##.####.#........###......##.....#.#
###....#....#.#......####.##.....#...##..#.###....###..###.#.##.....##.##.....#.#....##.#.##.############...#..####.##..#.##...#.#.#.#.##....##.......##.#####.######........#######..##...##...##.#####.#.#.#.###...#.#...#................####..###.....##.#...##.#.#...#....##.....#....##......##..#.##.###########..##.######...#..#.###.#.##.########.#.#####.##.#.#.#.####.#....####.......#########.###.####.####.#.#.##.#.#....#.#.##...##.#.#....#.#.###
####.#.##.#.#.#####.##..#..##.##...#.##.##.....##...#.##...#.#..#.#..#.#####.##...##....####........###...#.#.###....##.######.#.#.#.#..######..###.##########.##.#.##.#.###..#.#.#######.##..#.##..#.##.#.#.#...##.####.#.#.#.#.###.####.#....##.##..##.##..##.########.###.#####.##...#.####.##.####.###............##.........#####.##..##.#.##......#.#.#...#####..#.#.###.##.##.#.#.##.#####.....##.##...#####....#..#..........####.####.###..###.#.##.#...#
#.##.#..#.#.###......##...######.###..#..##.##.###.######.##.##.####.#.#.#...####..#.####....###.##...##.##.#...##.#.##..##..###.#.####.###.#####...###.#...........##.#.######....#.#.##.##.##..##.#.#..#.####.##....##.#.#.###...#....#.##.########..#....##...#.#.#.###....##....#####.#.##.##.##.....##.#.##.#.####..##.################..#..##.#.#.......#.....####.####...#..###.........#########.##.#####.##.###.##.########.#######.######...###.#####.##
#....##.#.######.#.#..######.##...##.########..#....##.##.##.##...##.###...#..##..##...##.##..##.##.#.####..##.###.#.###....##...#.##.#.......#####.....##.#.####.#.##.#......#.##......#.##..#.##....##.#...##.###.###..###.#####.#.#.#####.#.#.##...########.#.....#...########.#.....#...##.##..###.#.##.#..#.#...#####....####....#.#####.##..#.#.#.##.#.###.##.#.##...#..###.##...##.#.##.#.#.#.#...##.....#.....#...#.#......###...........####.#.......#..#
##.#..#.#..##....###.##.........#.##....#.####.##.#.....#.##.#..###....###.##..######.###.##.###.##.#...###..###.###.#...#.#########....##.####.####.#.##..#....###.#####.###....########..##.###..#.###.##.##....#...##.##.....##.###.#.#.#......###.#......#.#.#.#...#..#.#.#.####.####.#.##..##...#.###..#.##.###..#.###.#......##......##############..##########.######.#########..###.##.........#....#.###.#####.###...#######..##.######....####.##.######
#..##.#.##..###.###...###.####.##.##.#.##.#....##.###.#########..##.#.##...##.#######...#.##...#..#.#.#...##......######.#.##........##.##..#.#....#.#..##.##.#####....##...##.#........#.##....##.#...#.##.##.##.#.#..#####.##.##...#.....#.##.###.....#.####.######.###........##.....#.########.#.#..#####.#######.....###.#.#.##..#.####.#.###.##...##....#.##.#.............##..##..##..##.###.#.####.######..#........#.........##.....######..#.####...####
##.#..#..##.#...#...#...###....##.#..#.##.##.#.#..##.......##...#########.##......##..#.#.###.##.####.##.###.#.##....###.#..####.##.###..##.....#.##.##..####.....##.#.##.#.##.########.#.###.####.#.#.#.##..#..#.####....##.##.##.###.#####.##.#.##.#.##....#...##.###.###.########.#.#####.....###.##..#.##.......##.##...#.#.#..##.####.#........##.###.#.##.##.#.#######.###..#.########.##...#.#..###.#.#..##.#.######.#.#.#.#.#..##.##......##....#.#####..#
#####.#######.################.##.#.##.#.....#.#.###.#.#.#.####.#.##......##.#.#.###.##.###...##.#.##.#....#.#..##.###...#.##....##.#...####.#.##..########...#.###..#.##.#.#........####..##..##..#.#.#.##.##.##....#.##.##..#..#.##......#.##....#.#####.#.#.#......#...#.....##.###...#.#.###########....#####.#.##..##.##.###.##.........#.#.##.##.#.######.#....#.#####.#.#.##..#.##.######.####.##.###...##........##################..#.######.#......#..##
#........##...#...#....##.#....##.#.#..##.##.#.#.#...#.#####......#####.#.##.#####....#..##.#..#....#####.####.##....##.##.#######..##.###...#########......#.#..#####.##.###.##.#####..##########.#.###.##..#..#.##.#..#..##.####.##.#.####..##.#######.#.######.#####.####.##.....##.#.....##.##.....##.#########..#.######.##...##.#.##.#####.#####....#.#.#...##.......###.#####.#......##......#.#...#..#....##.#####.#.#..##.#.##..#####.....######.####.###
#####.#######.###...##......##..###.##.####..#.####.##...######.###.#...#..#...##..##.#######.###.#..##.....##..##.#.##..###.######.#####..#.###.....##.##.##.##....##..#..##.##.......###..###.##.#..####..##.#####.####.##....##.#..#####..##....###.#.####..######.#....#..#.#.########.#.......#.#.#..#.......#.##....#.####.#..###..#....####.#...####.....#..##.#.##......#.##.#.########.########.##.####.###...........##.....##....##.#.#.#...##..#.#...#
#.......##....####.##..#.#.###.#########....##.##...##.###.##...#.#...###.####..##.##.....###.#.#######.#.####.###.#####..##........#...##.#.....#.#..#.#..##..###.###.##.#######.#.####...##....####....##..#.#.##....##.##.#.######.....##..##.#...#...##...##.##.....##.#.##.#.......##.#.##.#########...#.#####.#######.##.##############........###..###.###.########.####...##.........#####..##........##...#.##.######....######.###########.#######.#.###
#.##.#.####.#...##.#########...#....##...##.#######.##..##....#.#...#.#....###.##...#.##.##...........###..#.####...##...####.#.#.#...#..####.####.##.#.##..##...#...#.##...##....#....##.###.#####.##.####.##...##.#.###..#.#.....##.#.#..##.##.#.#...###..#.......##.#######..#.#######..#.##.......##..#.#.....#............######..#..#####.#.##...##...#...####.#.#.###.########.###.####.#.#.####.#####.##.#.#.##.....##########.....##..##.#...#####....###
#.##.#.##...#.####..###.#.####...#####.#.#..#.#.#...###..##.#.####.##.##.#...#..##.##.#...###.###.#.#.#...##.##.###.####.##...######.##.###.#....#..#.#####..#.#.#########.######.#######.##.........#....#..##.##..#...##.#.#.#.####.#.##..######.#.#.....##.###.#..####.#.#####.......####.#..#.#######.###.#.#####.###.##.###.#..##.#.##...#.###..#....#...#..#.#.......#.#.#.###....###.##.#.#.#.#...##.###########.#####.##.......###....##....#..##.#.####.#
#..#.#..##.##..#.##.#..........#.....#.####.....#.#..###.##.#.#....#..#..##.###.##..####.####...#.#######.....#..##....#####.###.#.#.####.....#########.....##.#........##..#.###.##.#.......#.#.########.##..#####.#.###..#.#.#..##..#.#..###..##.###.#.#..#...#.##....#.....##..#######.#####.#....##.....#.#.##.##...####.#.#.##.........#.######.#.#.##.#.#.##.#.###.###.#....#..##..##.#..........###...##.#.###.#######.#..#.###..########.#.#####..#......#
#.##.##.##..##....#########.##.##.######....#.#.#.#.##....#####.#####.##.#....#..#.##....##...#.#....##...#.#...##..##.#.....#..........#####......#.##.#.#..#.###.#.#.##..##..........#.##.##.#.....#######.###.##.#.###.######.##..##.##.....##...##.###.##########.###.#.#.###.#####....##.#.##.######.#.###.....######.###.#.##.###.#.######...#.###..#.###........#.......####.####......####.#.#.##..#.......#...#........##...####..####..###.####...######
#..#.#..##.##..#.##.........##.#......####.##.#.#.#.########.######....#.#.##.#.####..#.##..#.####.###..#.#.#.#..##..######.###.#.#.#.###.....#.####..###.##.#...###.#..#.######.#.#.###.##..#.#.#.#.......#.#....#.#...###.#.#..###..#..##.#######.#...##...#...#.##.....#####.........##....#..#......###.##..#.#..............##...#.####.#...###...#######..#.######.#.##.###......#.#.##...##.#.#....######.#...#...##############...##..##.....#.##.#...#.##
##.#.#.##...##.#.##.#####.#.##.###.####.....###.#.#.#.##...#..##....#.##.#.#..#.#....##..##.#.##.#...####.###.#.####..##....#.#.#.#.#..###.#.##...###...#.#..#######.####.##.....###..##.##.##.#.#.#.#.########.#####.####....##...#.#####.....#.#####.###.#...#...##.#.#.##.#####.#.###########.#.###.########.###.#.#.####.#.#....#.#........#...#.#.###.#.##.#......###.##.#.##.###.#####..####.#.##.####...#########......#.#.#.#.###.##.##..#####.#..#.#....#
#..#####..###..#.####.....#.##.##..##...#.#####.#.###..###.#.##..##.#..###.#.##.##.#.##.##..#....###.##...##..#....##..##.#.#...######.#.#.#..#.#.....######.....#.#....#.##.#.#...#.##..##.####.###.#..#.#.#....#.##......##..##.##.##....#.#......##...#.##.##############.....#.#...##.####.###...#......#.#...#.#.#....###.#.#.##.#.##.##.##.#######.#....#.###.########........##....###....#####.....##.###...##...#.####...#....#......#.###......##.#.#.##
##..#.###..###.#.#.#..#.#.########..###.#.....#.#.####.....#....###.##.#...#..####.#.#...##.#.##...#.##.#.##.##.##.##.#########....##..#...##.#.#.##.###.##..#.#...##.###..#####.#.#..##.##...##..##.##.#.#...##....##.#########..##..##.#.#.##.#.#.##.######........#.#.#...###.#.#.#.......#...#.#.#.#.####...########.#.#######..###.##.#####..#.#.#....########...##.##..##.#.###..##..##.##..#.##.#.#........#..##.##......###.####.##.#.....####.######.#..#
#..##.....##...#.#...##.#..#..##...##...###.#.#.#.#....#.#...#.##...##.##.##.####..#.#.#.##.#..#.###..#.#.##.#...#.##...##......##.###.##.##..#.#.##.#....##.#.#.#.##..########..#.##..#.#..#.##.##..##.....#..##.#..#..#.#.#####..#.##..#.#.##.#.#.##..###.##.##.##.......###########.###.###.#####.###...##.#....#.#...#...##.###...###...##.##.#.#...#.###.##..##.##...#.##..#..#######.#...##....#.#.##.#.#.######...###.#.##.........##########.#.....##.##.#
##.#####.#####.#####.#..##...##..#..###..##.###.######.####.##.##.#.##.#..##....#.##.#.#.#..####...##.#########.######.#####.##..###...##.#####.#.#....####..#.#.#####...###.#..##..#.#####.###...######.#.######.##.##.....#..###########.#.##.#.#..##..#...#.##..#.#.#.#.........##...##...#...###..###.###.##.#...###.###......#.#..####....####...###........######.#.#.###.##..###..#.#.###..#.##.#.##.###....####.######....#.##.##...####.##....###..######
#..#.....#.#...##.#####..##.##..##.##...##...##.##.....##....#.####..#.##.##.##.#.#..#.#.##....##.#####.....##....##.....#####..##...#.#.....##.####.#....######...#.#.#.....##.##.##.#.##..#...#...#.####......####..##.##...##.##.#.#.#######.#.#.####...#####..##.#.#####.########.###..#...#...##...###.###..#.#..##..##.###.##.####.###.#......#...##.###.#..#.#.#.#####....##.....##.#...#.#######.##...###.##..###...##.#.##..#.#..###....###.######......#
#.###.##.#.#.#..#.#.#.##.##..##..#.##.#.####.##..####.####.#####....##.#...#..#.###.##.#####.#..####.##.###.#..#.###.#.###.....#######.#.#.#..#####..#.##..#########...###.#.##.#..##...###.#.#.#.#......##.#.#.##.##.##..#.#...........#.#.#.###.#.##...#..#.##.###.#.....#........#.##..###.###.###.#####...#.##.#.##..##....#.#####.....###########.##########...........##.#.##.########.#.#.......#.#..#####..##.###.##############.####.####.#.##...##.#.###
#.#.####.#...#.##.........##.###.#.##.#.#....##.##.##.#.#....######.##.##.##.##.##..##...##..##......#####....##.#.#.#...##.#.##.##....#.#.##.....##.#..##...#..####.#...###.##.#.###.#.#.###.#.#.#.##.#..#.###....#####.##.##.#.######.........#.#..###.####..#...####.#.###########..##.#.#######.#.......############..###.##..##...###..#.......##..#.....#.####.##.##.########........#.#####.#.#.#.##..##.####..........#.#.####...##.#...........#..###...#
###.#....##.##.###.###.#.###...###.########.#####..#..#...##.#.......#.##..#.##.##.###.#####..#.##.#..##...#.##....#.#.###..#.....####.#.#..##.#.###.#.###.#...##..#.###..##.##.#...#.#.....###.###..#.#.##.##..##.....#..#.##.#.....##.##.#.#.##.##.##.......####.##.###.....#.###.#####.....##.#..###.######.#......###...#..##....#...##...#####..##...#.#.....##..#.#####.#.#.###.#.#######.####.#.#..##.........##.##.##........###......#.#####.#.##..######
#.....#.#####..#...#...#.##..#...###.#.##...#..###...##.#..###.##.#.##.##.##..#.#..#.####....##..#.#.####.##.##.##.###..###.####.###...###.##..#.#.#.#.##..#.#....##...#.##..##.#.######.####...###.#######..##..###.#.##.#.#####.#.###..#######..#...###.#.#...##....##..#.#........#..#.#.#......####..###.#...#.##..##.#.##..##.#####.##.#..#.######.#.###.#.###..##.#.#.........###............###.#.####.##.#.######...##.#.########.##.##...###.#..##..##.##
#####.#.#.####.###.##.##.###.#.#.###......#.#.##.###.#..##...#.#..#.##.##..#.##.##......##.#..######...##.##.#...######..##....#.#...#...#..##.#...#.###..##.###.##..#.#####.#..#...##.#....#.#...#.#####.######..#######.#....##.#...##..#.#.#####.###...#.#.####.#.##..##.##.##.##...##.#.#.###.###.####.....#######.##.#..#.##....########.##...##.###...#.#...#######.#.###.#.#.###.######.#.#..##.####....#.#......#.#..#######.#.##..###..#...#.#.####..#..#
#.#...#.#.#.##############.#.#.###...####.#.#........#.###.#####.##.#...##.#.##..###.#.##..##.....##.#.#..##.##.###.....##..#.########.#.####..##.##...##.##..######.#...##..#.####....#########.##..#.#...##..##.......###.##.##.##.####.#....####...##.##.#.##.###.###.####...#####.#########.###.#......#.#.......#.##.#.######.#...###.##....#.....########.#.#.##.#......#.###...#.....#############.##.#.#.#.##.###.##..#.#.......##..##.###.##.#.##.##...##
#...#.#.#...#.##.............#.#####.#....#.###.####.#.#...##.....###.#..#.###..##...#..#.##..##.##..###.##..##...##.##.##.#####.......####.####...##.##..#..##.##.###.#..##.####...##..####.#.#####.....###..####.#.####...##..####.#.##...####..#.#.##.##.#....###..##....###....##.##.###.#...#....#.##.#.#.#.########.#.#.####.###.....##.##.#.#####.##...#.#........#.#.##...##.####.###.#.#.#.#.#....#.#.#.#..#...#..##.....#######..##....#..#.#.....##.###
#####.###.#.#....##.#.####.#.#...##..#.#.######.#....###.#..#.#.#...#.##.#...##.###.##.##.#..##...####...###..###..####.##..###..#.###...#.....###..#.##.###....#...##.#.##..##.##.####..........#.#.###...#.###.##############..##....##.####...####.#####.#.##...#####.##...#.#.#####...#....#...#.#####.#.#.#..###.#.###....##...######..#.##.#.#.#......######.################....##...............########.#.##.####..#.#.#.......##..#.###############....#
#.....##..#...##.#..#.####.#.#.#..####.#.#.##.###.##...#.##.#.#.##.####..#.###..#....###..#.###.#..##..#...##..##.##.....##...#.####...#...#.#..##.##########.#...##########.##.....#.####.#.#.###....##.#.....#.##.#...##.#.###..##.####......###.##..##.#.####.#.###.##########.#..###.##.####.#.#..##.#.#.####........##.#.###.#......#######.#.....#######.##...........#.....#######.#.##.#.#.####........#.#.##....#.####.#.#.#.#######........#......#.#.##
###.#.#####.#..####.#.#....#.#.#.#####.#.#..#.##..##.#.#.##.#.#.##....##.#...##.#.#.##...####...#.####.##.###.##...##.#.#####.#.#.####.##.##.####.........##..#.#.##....#.#...##.#.##..##..###...#.##.####.#.###.#....####.#.#.##.#.....####.#.#....##.##......###.............##...##.#.......######....###....##.#.#.###..#.##..##.###.......#.##.######.#....#.#.##.#.#.##.#####.##..#.#..###.####...#.###.##.#..#.#.##..##..#.#.#.....##########...#.####.#..#
#...#.#.....####....####.#.#.###.##....#.##......###.#.#.#..###.##.#.######.##..#.#..#####.#..#.####.#.#....######.##.#..##...#.#......##..#...##.#.#.#.#####.###....##.#.##.###.#....####...#.#.#.##....#.#.......######.......###.#.#...##.#...#####..#.#.##...###.#.#.##.####..###....#.#.#....#.#.#.#######.#..###...##.#..#.##....##.##.#.###....#......#.##.#..#.###.......##.#..#####...#....##.##...#..#.#.####.##.##..##.#.#.###..........#.#.#....###.##
##.######.#.#....#.###.#.#.#...####.#.##..##.##.##...#.#.##..##.##.#.#.#.....##.#.##...##....##....#.###.##...##...##.#.###.#.####.#.#..#.###.##..#.#######...#...#####...##.#.####.########.###.#####.###.#.##.##........#####..##.#.#.#.##.#.#.....#.####.####...##########..####.##.###.###.####.#.#......#####...###.#..#.##..#.#.##...###...###.##.##############.############...##..##.#.#.###############.#....#.##..##..###.######.#.#.#######.#.#####...#
####......#.###.##.##....###.#.##...#######..#...###.#.#.##.######.#...##.#.##..#.###.####.#.##.####.....#########..###.##..#.###..#.#.##...#..##.#.......##.##.#.....########.##......##.##..##.###.....#.#.######.#.#.#.....####..#.###..###.############.#.###.###.##....##.#.##.#....#####......###.##.#...##..#.########.##.##.#.####.###.#...#........#.#.##.#####..##.###..#.#....#########.............#.######.#######..##.###.####.#...##.##.###...#####
#.####.#.####....#.##.##.#...###..#.###.....##.#...###.###....##...#.###..#..######......#####.....###.#........##.###...##.#...##.#.#.#..#######.#.##.#.##..#..###.#......##...###.#.###.######...##.#.####.....##.#.#.#.########.##..##.####.........##.......#.#....##.###..#.#....######.######...#..#.#####..##.....###...#..###...####.###.#.##.#####..........##..##....##.#.##.###.#..###..##.#.#.#########.###..####.##.##...#....###.#.....####..#.....#
#.#.##.####...##.#..#.##.#.#...##.###.###.#.##.#.#.##...####.##..#.#...#.##.###.....##.#...##..#.#.##..###.##.#.####...###..#.###..#.####.##.##.###.####..##.##..##.#.#.##..###.#...###........#.#.##.#....##.#####.#.#.#........#####.#.....###.##########.###.#...#####.#.##.....##...##.#.######.####.#.....#.#########.##.##.##...###.#....#.#..#....##.########..#.###.#####....#.#.#.##..#..#######....##.#.#.#.####..#.##..#.#...##########.#..#...##.#.#.#
#.#.######..#.##.#.##.#..#.#.########.#.######.#.###..#...########.##.####..##..#.#.##.#.#.###.#.#..##.##...###.#....#...##.#.##..####...........##...##.##..##.##..#.#.##.###....#...#.###.#.##.#..###.#.##......###.#.#.#.#.######.#.###.#...#....##.##.....#.#.#............########...........#....#########....###.#...#.#..#..#.......#.##.#.##.##..#...#.#######.##...##.##.#####...##.##.###.#.########.#.#.#..##..##.###.#.#.#.........#####...######.###
#.#.#.##...##.##.#.##.##.#.#.#..#..............#...##.#.#..##..##..#...##########.#..#.#.#...#.#.#.##..##.#.#####.#.##.#..###..##.#.###.#.##.###..##.##..###.######.#####....####.#.#.....#.###..#.##...#..##.#.###...###.#.#...##...###...###.##.#.....#.#.#.###.#.#.#.#.#.##.#......##.##.#.##.###.#.#..##...##.#.......#########.##.##.#.######.#..##.####.......#.#....#..........##.####...........##............###.##...######.#.####.##.....#.#.##.#######
#........#.#...#.#..#.#..#.#.##...#.#.##.#.#.#.#####..#.##....##..##.#.....#.##...#.##.#.##.##.###..##.##.#.....#.###..##...####..#.....#.##.#######..##..##.....##.....##.###....####.#########.#..##.##.##..#...#####...#.#.####.#######...######.##.####.#...#.#.#.#.#.#..#...##.#.#########....######....#######.#######.#.###...###..#......####..#.##...#.#.#.....#.##.#.#########.##.#.##.###.##..#.###.#.#.#.##.#.#..###.##...#....###..##.####......##..#
#.#####.#####.####.#####.#.###..#.#.#.#..#####.....##.#.#..#.##..##..#.##.##.###.##.##.#.#..##..######.##.##.##.#.##..###.#..##..#####.##.##.....##..#######.#.#..#.###..#.#...##..##.........##.#.########..###.##...###.#.#..#.#......##.#....##...#..###.#####.#.#.#.###.###.###.###.#.##.###.#..#.#.#.##...#.#.#####.........###.###.###.#.#######.#.###########.##.####.#.....#.#.........#.#.#####.....#######........##....#.#.#.##.####.########.###..#.##
#.#.....#.#.....##.##....#.##..####.#.#.####...#.####.#.##.#..##.###.#.##.....##..#..######.##.##......##..######..##.##..#.######.#...##.##.##.##..##.##....###.##.###.######.#..##..#.##.#.#####.#.###....##.#####.####.#.##.....#.#.##..####.###.###...#.....###.###.##....###..............####........#####.........###.#.####....#..##.#.....##..#.........#.#.##....#.#.###.....######.##....##.#.#.#......##.#.#.##....#.####.#..#....#.#.#.#..#...##....#
#.#.#.#.#...#.#.##..####.#######.#..######.##.##....######.##..###...#####.#.##..###...##...##.###.#.#..##.....##.##...##.###........#.##.##..#..##..#.#..##.###.##...#####....##..####..######.#......##.#....##.##..#.###.##.##.####..##...####....##.#.#.##.####...#.##.##...#.#.#.#.##.#####....#.#.##...#.#.#.#.##.######....##.######..##.#.####.##.####.#...#####.#.###.#####.#......#.##.##....###############.#####.###..###.#.#########.....##.####.####
#.#####.#.#.#.#..#####...#.........###.........##.#...##.#..##..###.###.#..#####...##.#####.##...#.#.##..#.#.#.##.#..#.#....##.##.##.#.##.##.##.####.#.##.#....#..#.#...##..#.####..##..#####...##.#.#..###.##.......##..####...###..##.#..###.####.##..########....#.#..#.#..#.#.#.#.#..#...#.####.#.#.##.#.....#.#.##......#.####....#####..#.#....###.....###.#....##.#..####..##.#.#.##.#..###..#####.#.......#.##..#.#########.#.#...#...####.#.###..##.....#
#.##....#.###.#.##...###.##.##.#.#.#...##.#.##..###.###....####..##.....##....##.#.#....##...##.##.#.#..##.#.#..######.##.###..#..#..#..#..#.##..##....##.##.####.#.#.#####.#..#.##..##..#.#..####.#.#.##....#.#######..##.####.....######......##...##.......##.#.##.#######.#.#.#.#.#.##.#......#.######.#.#.#####..###.##########.#.....#.####.#.##...#.#####.##.#.#..##......###.#########..###..##.#...#.#.#....##...........#.###.#...###.##.####..######.##
#.#..#.##.#...#..###.###########.#####.####..##..##...###.######.#..#.#..##.###..#.#.#.#####.##.####.#.##..####..#.###.##..##.##.###.#.###.#.#####..#.#####.....#####..##...####.##.####.....###.###.#..###.##.......##.#.....#.###..#.#.##.#####..#.##.#######..#.#......##..#.###.#.#..###.#.#########.#.#.#.....#.####...#.#...##.##.##.#....###.##.#.#...#.#########.##.#.#####....###..#####.##......#######.#.####.###.####.....#.#.#...........##.....#####
####.#..####.###..##....##.#.....##.....##..##..##..#..##.#.##.###.#####..#####.####.#.....####...##.#.###..#.####.#....#.##..#..#...#.##..#...#.####..#.###.#####.###..###.##.......##..#.#.#.#.##..#.##....#.##.#.##....##.##..#####....#.....##.#.#........##.#.##.#.#..##.#.##..#.#.########......#..#####.#######....###...###...#..#.##.#######..#.###....##.#.#.####.#.....####.....##.##..##.####....#.##.#..##....####.##.##.#.###.####.###.#####.#.....#
##...##..##...##.##..##......###.######.###..##..#.##.##....##.........######.....##.#.#.###....###..#...##.....##...##.#######.####.###..##.#....####.#.............##..##.#..##.#.####.###......##.#####.######.#....#.#########.###.########.##.###.#.######..#..#.#.##..#####..##.#.....#.###.#####.###.##...##.###.#.#...#######.####.##.....####.#.##..##...........#.#.#.######.#.#.......###....##.#....###.###.##.......##########.####...#..#.####.#.#.#
#..#.#..####.###..######.##.###...##.#...##.###.####..#..##..####.##.#....#.###.#..###.###...##...####.####.#.#.##.#.#........#.#.....###..#.##.#....#.###.#.#.##.####..##..##.##.#...##...##.#.#.##.###...##.#.####.###....#.###..........##.##########.###.###.#.##.#..##.....##.##.#.#.#.......##.#.......###......###...####...##....####.#####.#..#..##..##.##.#.#.#.#.###......#.#.#.#.###.#.##.###..####..##...#..#######..#.##.##......##.###...#.####.#.#
##.######......##.####...##.##..###....######......##.##..##.##...##.##.#....#########.#...#.##.#...##....#.#.###..#.#.##.##.#####.#.##...##.#..#.##.###...#.#.##....##..##.##.#..###.##.#.####.#.##.#.###........##...##.#.......#.##.#.#.....#.###.##.......######..##..#.#.###...#.#.#.##.#.##......#####..##.######...#......#.##.######........##.#.####.##.##.###.###...###.#.##.#.#.####....##.#.##.#######..#.##.......##......##.#.##..###.###.....####.#
##.#......##.#..#.#....#..#.###.#...##...#.####.####...##.##..#.#..#.#..##.#......##...#.#.#.##.##.##..##.###...##.#.#.##.##.#.#...#.###.######.#..#.##..#.#.#.##.#.###.##..##.#.##...##.#....###.####...###.#.#.##..########.#.##########.##.##.#.#..##.###.##....#.##..##.#...##.##.###..#.#.####.#.##...##.##..#######.#.#.#.##.##....#.##.#######..#..#.#.##..###.....#.###...#..#.#.#.##.##.####....#.......##.#..##.#.##.##.#######.#.##.###....###.###.####
#..##.#.#.##.##.#.##.#.##.###.#.#.#..##.##.........##.##...##.#.##.###.##..##.#.####.#.###.#.##.##..##..###...###..#.#..###..#.###.###......#.#.#.##..##.#.###..#.####..##.##..#..###.##.#.####........#.##..#######.###.#.#######.#.##.####.......#.##..##.....#.##..#.##..#####..##..##.##.#....###.#..#..#####.......##############.#.#.####.#.######.##.#####..###.#.##...##.##.##.#.#....##.##.#########.#.###########.##.##.......#.#.#......#.########.#.##
##..#####.##..#.####.#.####.....####.#...##.#.#.#.##..#..######.#...######..#.#..#.#####...#..###..####...###...##.#.#.#####.#.#...####.##.##...#.###.#..#.##..##....##.##.##.###.#...##.#....#.#.###.######....##...................#...####.##.#....##.######.#####.#####....######.#####..#.######...##.####.#.##.#######.#.##.##.#.###.#.#..#.#.#.##....##..####...#..##.##...#.####.#.#.##......###.########..#.##.########..#.#.#######.##.#####...........#
#..##......#.#####...#.#.######.##.#######..#####.#..###..##....#.#..###.#.##.##......##.#.#.##...##....#.##..#.##.#.#.....###...#.#..#..####.#.#...#.##.#..######.####.##.#...##.###.##.#.#.####...#..##....#.#####.#.####.##.###.#...#...##..####.#..#......#....##.....##.#......#..#.##.##......#.#######...#..#...##.#..........#####.....##......##.#....##########.######.##...##.#.#..##.##.##..........##.............##.#.#.....########...##.#####.##.#
#.#######.##...#.###.#.#..#.....##..#.##.##.....#.##.##..##..##.#.##.....###..#..#.##.##.#.#.###.#####.##.#..##.##.#.#.######..#.#...###.##.###.#.#####..##......#....###..#.###..#....###.#.#..##.##.###.##.####....#....#..#...#.##.##.#..#.####..##.#.#.#.###.###..#.#.##.#.#.#.###....#.##.#.#.##...##....#.#.##.#......##.########....######.############.....##...###.#.####..#.##.######...#....###########.##.#.###.#.###.#.#.#.#.#.##.###.###......#..#.#
#.#.......##.###.#...#.##...###..##.........#.#.#.##.#..####.#..#.###.##...##.##.#..#.##.#.#.#.......###..#.##...#.#.#.##..#..#####.###.....##..#.....##.#..##.#.#.#.#####.#...#####.###...#...##..##...#.#.....##.###.#####.###.##########.#....##..#.#.###...#.#.########..#.#.#.##..####..#######..#..##.########.#.#.#.##...........##.................#.###.#....####......###.#.##......#.#.##.###..####.#.#.##########...#.#.#.#.#........#.#.#.######.####
#.##.##.#..#####.##.####..#####.########.##.#.#########....#.#.##..##..######.#..#.##..###.###.#.###...##.####.#####.#..##.#.##.......##.##..####.###..####..###.#.#.....#.##.##.......#.#.###.###.##.###.##.##.##.#...#########........#.#.##.###..####..##.#.#..........##.#.#.#####...###...##.###.##.........#.###.#.#.####.####.#.##..####.###.########..#####.#.#.#..##.#...#####..########..#...#.##........#.#.##.###########.###.#.#.##...........####.##
######..#####..#.....####..##....#.#......#.#..#...##.#.######.##.####......#.##.#.##.######...#.####.###..##.....#######.....##.#.#.##...#.##......######..##...#.###.######..##.##.#.#.#...#...#.#..##..#..##..#####....###..#.##.###...#.##...####.###..#.####.######.##..###....####..##.#......#.##.#.###.#....####.#....#....#.#..##..##############.#.##...#.#...#.#####.#.....##....#...##.#.#......####.#...#........##.#.##########..##.#.##.#.#..##...#
##.####.....##...##.##....###.#.##.##.#.#.####...####.#....#####...##..######.##.###..##.#####.#....###...####.##..##.....##.##..#.#####.##..#.##.####.#...####.##..##......##.#..#..#.###.#.#.######..##.##.#..##..#..##..#..##..###...#.####.#.......##.##....########..##.###.#.##....###.##.#.###.##.#...#.#.####.######.####.##.#.####........#.....#....#.######.##.....###.##.####.#...###..#.##.##############.########......##.##.##.##..######.#.###.###
#.......#.####.#.#...###.##...###.....###..##..###......##.....##.####.########....##.#....###.##.###...#.##....##..##.##.##..####.##.##..######.....#.###..#.#####.##.#.##..###.##.##...#.#.#...##...##..##.##..##...####...###.######.#..##..############..#.###.....#.##....#######.#.##..##.#.######.#########.....#######.#######.#.#..#.#.##...#.#...##.....##.#..#.##########.##...#.#...##.####..#.#....#.##.#........#.####.##.....#..##...#.####.......#
#.#.#.#.#....#.####.###...#.#.##..#.#.##..##..#####.#.#.#####.###...##.......##.#####.##.#......#.#.###.#.##.##..##..#.#..###..###.....##...##...#.#.....##....##...##.#.#####....#..##.##.###.###..#..##.####..##..#.#..##.###.....######..##..#........##.##.....#.###.###.#####..##.#.##.###.#...##.#....#.#.#..#.#...#.###...#.##....##.#.#####.##.##.#####.###..##....#.......#..###.#.##.##.....##.....####.#....########.####....##.##.##..#.#..######.#.##
#.#.#.#.#.#.##.#....##..#.#.#.#..####..##..##.....#.###.....###.#.###..#.#.###......#.######.#.##.....###..###..##..##.#.##...##...#.#..#######.##.#.#.####.######.###.#.....#.##.##.##.####.....##.#.#####.#######.#...##..#.#####......#.####...#.#.##..#..#.##.##...#.#...###.##.######..##..#.#....##.#.......##.#.#...#...#...###.#..#.#....##.##.##.....#...##.#####...##.####.######..#..#.##.#######..#.#.#.#######........#.########.#..####.##.#########
#.#.#####.####.#.#.##..####.#.##.#....####..#.##.####...#.####......#.##.#...####.#####.#.#..#..#.#.#...##..###..##.####.##.#.#..#.#.##.....##...#.###.#.......##....#.##.#.##.##.##.##..#####.#..###....##.........#.#..##......##.##.#.#....##.####..#.##.##..############......#......##..##.#.#.##.##.##.#########.#.#...###.#..##.##.#.##.####.##..##.#.#######.#..##.#..#....#....##..##.####...#.#####........###..#.##.#####........#.##.............#.#.#
#.###........#.###.#..###...#.#..#.##....##.#.##.##...#.#....##.#.###.#..#.###..#...##......###.#########..##...##.....#.#..####.###..###.###..#.####..##.#.####..#.##.##.#######..#####.....#.#.####.######.###.#.##.##.##.#.##..#..#####.##.##...#######...##....####.##...##.#...###.##..###.#.#..#..#.##.....#.#######.#..########.#..###.....#####.##.######.#....###.#.#######.######..#...####......##.#.##.###.#.##.####.####.#.#####.#..#.##.###.##.....#
#.##..#.#.#.##.##..##...##############.#.##.#..#..##.#####.######..#####.#.....##.###..##.#.##..........####..#.##.##.#######......##..##..###.#....#.##..#....##.#.##.##....##...##.....##.####.##......##....#.#..###..##.#.##.##.###.##.#####.#....#.###.####.#.......###.##.#.###.###..##.#.###.##.##.##.#.#.........#.##..#####.####...##.##.....#.#....##.#...##...#.#.......#...##...####...##.#.##..#.#.##........#...#.....#.#####.####.#.##...###..#.###
#.##.##.#.#.##.#..####.###.............#######.#.##..##........###...#####.###..#...##.#..#.###.##.##.#.##...##.##..###.#.....#.#.##..####...#.#.##.#.##.##.#.###.#..####.##..##.#######..#...####..##.#####.#.#.##...##.##.#.##.#...#...#..###..#.##.....#.#.####.#.#.#...#.##.#......##.##....##..##.####..#.#.###.###.#..#.##.#....#.##.##..##.#.######.#......#####.####.#.###.########.#..########..#.##.###..##.#.#...#...#.#######.#.##.#####..#...##.#...#
####..#.#.#..###.###.....##.#.######.#....##.#.#.###.#####.##.##...#..##....######.##..##.###...####..#..##.##...##.##....#.#.###..##....##.##.###..###..##.#...###.##.....##..#...##....##.#....##.##...##..#.###..#..#.##.######.#...####.#...##..##.####......###.#.#.###.##.##.#.#..#..#.#.##..##...##..####..##.#####.##......#.##.....#######....#.#.#.#.##.....#....#.###########.#....#####.###.##.##...##..#.#.#.####.##.##.##.#.#.##...#############.#.#
#....####.#.##...##..#.#.#..####.#...#.##....#.#.#...#......####.####..###.##.##.#####.#..#...#...######.##..###.#######.######...###.#####.#....##.###.##..#.#####..####.###.###.##..#.##..##.#..#..#.###..##..##.###.#..#...##...#.####.####.####..#...#######...#.#.#...#.##..#.#.#.##.##.#..##.####..##....#.##......#..####.########.#.....##..##.#...###..###.####.###......##...#.##.#.........#.##.#..###..####.#...##.####..#..#....##.##.#.#.###..##.###
#.#.####..#..#.#.###.#.####.##.....#.#.###.#.#.###.#.##.#.#.###...##..##..........###########.#.#.....##.#..##....##.....#...###.##.....#.#.##.#.##...#####.#.....#.##......###.#.#..##..##.#..#.##.##..##.##..###...###.##.###..#.#..#....##...#.##.#.#..##...###.#####.#.#..#.####.#..#.##.#.##....###.##.#.##..##.#.#.#.#####..####..#.##.#.####.######...####......#...#########.#...##.#.#.#####.###..##...##....####.#####.##.##.##.#####......#...#.###...#
#.#.#.#..##.##.#.#...#..#.###..###.#.#...#.#.###...#.######...###.##.##..#.#.##.#..##.........#.#.###..####.#..#.####.##.###......###.#...###..#..###....##.###.#.#.##.##.#.....####.##.###.##.#..#..##..#..##...##.##...##.##..##.##...##..##.##.##.#.##.#..#..#####.######.##..#####.##.##.#..##.#..##.##.#..#.#######.#..#..##..#.#.##..#.######.#.##.###.##...#.#.###.###.##.##..#.###..#.#...##...#####..#.#..##..##...#................#..#.####.###...#####
#.#.#...##...#########.##.##..##...####.####.###.#.###.##...#.######..##.#.#######..#########.###..##.####..#.##.#.....###...####..##.#.#####.##.##...#.#####...#.#.##.##.###.#....#.##...#.##.##.#.###.###.###.###..###..#..#.###.##.#####..#....##.#..#...###.........#.########.######.##.#.###.##.##.##.##.#......#####...####......#.##....##.........#.###.##########.........###########.#.##.#.....#.##.##..##..###...#.#.#.#.#.#.####.######......#.....#
#######.###.##.........#..#..#####....#..##....#.#.#......#.#......#.##..#......##.###.........##.######.#.##.##.#.#.#..##.#.##...#####.....####.###.##..#.####.#.###...#...#.##.###.####.###...###.##....#.#.....####...##.##.#....#....#####.#.##..#.####...#######.#.................#..#.#...####..#..######.##.#..##...#....##.########.##.###.#.#.#.####.###.###.#.#..##########.......####.##.#.###.#.##.##.####...##.####.#.###.#..###.#......####.#.#.###
#.........######.#.#.####.##..#.##.#.###..#.#.##.#####.##.####.#.#.###..###.##.##..##..##.#.#.##.......#.###...#.###.##.#..#.#..#.....##.####......#####......###.##..#.#.#.######.....########.#######.#######.#....#.#.##..#.###.###.###.###########...##.#....#.####.#.##.#.#.#.#.####.##.#.####...###.##..##.#####..##.####.########.#.####.#.#.#####.#.#.......#....##..#######.##.#.####..#..#.#.#.#####..##...###.##..#.##.#..#####.....#.####....#.#.#####
####.#.#.##..##..#.#.####.#..##....#..##.##.#..#.##....##.##...######..##....###..####.##.#.#.##.##.####.##..#.####..##.##.####.###.###.....##.#.#....##.#.##...#..####.###.....##.#.#...##.#........##..#.#....#.####.#..##.#.##....#.###......#.#.##.#.##.##.###...#######.#.#####....#..###..#.###.#.#....##......#.##....##............##.###....##.......#.#.#...#.##..##..........####.#.###.###.....######..###....##....#.##.....##.##......###.####.....#
#....#.#####....######.#....#####.###.##.##.#.##.#####.##.####..#.#.##.###.#...##..##..##.#.#.##.#######.##.####....#####..#....#.....##.#######.#.#######.#..###.##......#.##.#######.###..##.#.#.#.#..##.####.#.####.##.##.#####.#.#.....######...######...#.....###.#.#.###..#..#.#.##########.#.....#.#.#######.##..#.#.##..#.##########...##.##..##.##.#.#####.#.#..##....##########........#####.#.###.#.##.######.########.##.##.##...#.##.#####....#.##.##
##.#.#.#...##.#.##.......#.##.......#..####.#..###.....#....###......#...#.#.#.##.####..###.#.##..........###....#.##..###.#.#.###.##.#...#.#.##.#.......#.##..##..####.#####....##........##..#.#####.##..#....#....#..#.#....##..#.##.#####.###.###.#.####.#.###...........##...####..###..####...#.#.#.#...#..##..#.##.#.##.##..#.###.###.####..#.######.#.....#.#.##....##.....#...#####.##.##...#.#.......##..#..##........####.##.##.#.#..###.#.###.##.##..#
######.###....#####.##.#.#.######.###.##....##.##..#.#.##.#..###.#.#####.###.#..#..#.##.##..#..##.#.##########.#.#####.....#.###....#.#.#......#.#.#.#####.###..####.......###.#####.#.#.#..##.#....##.###...#.##.#####.#####.########...##...#.#.#........#.#...#.#.####.######.##..####.#.##..##.##.#.#.###...####.#..#.#..#####..............#.##.##.....#.#######.##.#.##..#.#...###.##...#####.##.####.#.####...####.###.#....###...#.#.##.........#..#..#.##
#......##..#.###....##.#.#...##.....#####.#..#.###.#.#.#..##..##.#....##...###.##.##.######.#.##..#..........###.##.#..#.#.#.#...#.##.#.#.##.#.#.#.#.....#...##...##.##.##..##..##.#.#.#.#.###.####.##..###.##..#.....#....##..##......#....#.....#.##########.#####..#####.#.#####.###.#......##..##.#.#...#.####.#.#.##.##..##...##.#.#####.###.##..##.#.##......##.#..#..#.##.#.#........#........#....#####.##.#....#.#####.#######.##.#..##.#.#.#.###.#.##..#
######..######...####..###.###..#.#..#.#..##.#...###.#.#.###.##..##.#.####...#.##.....##.#..#..##.#.#.#.######...#....##.#.#####.#..###.#..#.###.#.##.##.#.#..#.#.##.#...##.######...#.#.#...#....#.##.##....##.#.##.###.#..##.####.##.###.##.#.#.........#.#####.###..........##.#.#.#.#.###.############.##......########..#####..#.#....##...#.#..#####.##.##.####.##.######..###.#.#.#.##.#####.###.#.##.##.#..#.#.##.....#.......#.##.#####.#.#.#.#.#.#..#.##
#......##...####....######.####.#.####.##.#..#.#.##..#.#.##...#.##..#...##.#######.#.##..#####.##.#.###......###.##.#..#.####.##.##...#.#.##...######.##.######.#######.##.......##.##.###.#.###.####..##.##.##.#..#.#.#.#.##...##..##.###.##.###.#.#######...##....#.######.#............#####.#....##.....#.#######.#.####..#.########.###########.#.#####...#####..##....##..##...#####.##...###.#.#####..##.####.#..#.#.#.#.##########.....#####.#...###.##.##
##.#.#.####......#.##.........###..##.....#.##.#.###.#######.######.#.###......#.#.#..##..##....#.#...#.#.####....####.#####.....#..###.#..##.####.....#..#.###.###.#....###.#.#.##..#.#...#####....#.#####..#..#.##...#.#..##.####.#....###....#.#.....#.#.###..#.##...##.####.#.###.#.#....##.#.######.#.##..#.##.......###........#.#.........#.###.#..##.#.....#.####.#..##.###.###.#######...#....#.###..#..###.#.##.#.#.####.....#.#####.....#.##.######...#
########.###.#.#.#######.#.#.##...######.##..###.#.#.##.........#.#.#...#.#.####.#.######....##.###.#####...###.#.#..#####...##.###...#.##..#....####.###.....#.#.#.####.##..#.###..######.##..#.###########.#.######.#######..##...#.##...##.#.#.##.##.........##.##.#.....#.###..##.#.#.##........##.###.###......##.##..##.##.#.#...##.####.#.#.###...##..##.#.##...##.#####...#...........#.#.#.##....###.#.##.#############.##.####..#.##########.......#.#.#
#..##.#......#.###.......#####..#.##......#.##...#...###.##.#.#...#.#.#.###.##.#.###....#.#.##....#...##..#..#######.##....#..###...###.##.###.#####....##.##.#.....####.##.##..###..##.......##....##.##.##.#..##.####.#...####..###..##.##..#.###..###.##.###..#.##.#.#####..###.##.###..##.#.#.####.##...##.##.#..#..##..####.#.#.#.##.########...#.#..##..#.#..##.##......#.#.#.##.###.#.##.#.#..##.#...#.#.#...#.##.#.#.#.#.........##..........#.#.#.#######
#.##....##.#.######.##.#.....#.##..####.#.###..#.#.###...##.#.#.#####.#.##.........#.##...#####.#.#.#..#.##.##.#.##...####.#.###..#...###..##......#.#.##...#####.###..#..#####...##..###.##.####.#.......##.##...........#....##.#...##...##.#...##..##.##...#.#######....##.##.###....#########..#.#.###.###..#.############.#####.#.#......#.##.###.####..####.##..####.####.######...#.#..#.#.#.##..#.#.#.....#....#.#.#.#...##########.############.####.#.##
#....###########.####..#.##.##..######..#...##.#.####..####.#.#....##.#..##.####.#.#..##.##...#.###.#.##..#..#.#..#.#......#...##.###.##..###.##.#.###..#.#....##.....###...#.##.######...#####...#.#.#.#..#..##.#.##.##.###.#######.####.##..#.###..###.#..###...##.##.##.........####.....######.......#.#.##.#####............##########.#...........####....#..##..##....##....##..##########.#..##.###...#.########.#.#...#..#######.............##.........#
####.#.............#..##.##..#.##......###.##..####.##.##...#.#.#.###.#.##....##.#.#.##...###.....#######.##.....#####.#.#.##.##....#..##.#....#.#...#.##.#.######.#.##...#.#....##.....#.....##.##.###.#####.#..#.########....##..#...##.##.##...####.#.##...#.#.....#.##.##.#.####.########.#.####.##.##...##.......###.###.####.##.#.##..##.##.###.#....##.###.###.###.#.##..######..#.#.##.####.###.##..#.#....###.......#.##.........#######.#########.#.####
#....#.#.##.######...##...##.#.#######...#.##.##.......####.###.#...###.#..#.###.#.#.#..#..##.#.#......######.##..##...###.####..#.##.##..#.#.##.##.##..#.#....##..#..#####.#.#.#####.#.#.#.######...##..###..##.#........###.####...####.##.##.#......#####.####.#.#.#..#.####....#...............#..###..#..##.####..##..##............##..#..#.##..#.####....####..#.#.#.###.###.###......#.#.##...#.##.##.##.#.....##.########.#.#.##.......#.....#.#.########
##.#.#.#.#######...#..###.##.#.#.......#.#..#.##.##.#.##.....##.#.#.##..#.##...###.#.##.##..###.##.#.#...#.#..##.###.###......####.####..####.#####.##.##.#.######.##.....#.#.#..##...#.###......###.###...##.#..#.#.######....##..#....####.##.##.#.#..##....#########.##....#.####.##.#.#.##############.####.....##..#.####.###.#.##.##..##.##..##.#....####....##...#.#.#.........#.#.##.....##.#####..##..#.##.#.#######.#.######.#..#.#.#.#.#.###.#..#.##..#
######.###.#...#.#.##..##..###.#.#.##.#####.#.##.#..#..##.#.##..###.#..##..#.#..##.#.##..##.#....#.####.##.#####.#...##..#.#.##.......##.##.......#..#.##.#.....##.##.###.###.#.####.##..##.#.##...#..##.#.####.##.#.....##.#.####.##.#..##..##.####.#.###.##.........#..##.#.#......######......#......##....##.#####.##...##...###.##..##.########..#.####.##############.##.#.#.####.#.##.#.####....#####..##..#.#..#........#...####.####.#########.#.##..#.##
#......#.....#...#.#..####.###.#.#.#.....##.#..###.######.#.###...###.##..####.#####..#.###.##.###..#.#....###.#.##.###.##.#####.###.##..##.#.###.######..##.##..#.#....###...#...##..##.#..#.##.####.##.#..###.##.##.#######....#.#..#.####.##....#.###....##.#.###.#####..#.##.#.#...#.###.###...########.#.#......########..#..####..##......##.##.#..###....#.#.##.#..###..###....#.#.#..#....##.#.....##..##.#.#.##.##.#.#...#...##.#.##.....##.......#.##.##
#.##.###.#######.#.##....#.#...#####.#.#.##.##.##..##.....#...#.#...#####.#.##.....####.#....#.#...##...####...#.#####...#####...#....##.##.###...###.#####...#.####.##...##.##.#..##..#.##.#.##.##...##.##.#.#..#.#.......##.#.##.##.#...##.##.#.##.#####.##..#...###.##..##.##.#.###.....#...#.###......###.#.##.####.##.##.###..###.####.#.#..#..#.##.....####........####.#####.#######.############.#####..#.###.....#.#.##.######....##.#.#....#.###....#..#
#.#....######....#.##.#.#####.##..#..###.#..##.#..#####.#.#.###.#.#.##......####.#....#.##.#.#####..###......#.#..###..#..##...#.#.#.##..#...####.#.......##.#####....#####..##.#####.####..#..#.#..#.##.##...#.##.##.#.####..#..###..#.#..#.##.###....#.#####.#.####...##.##.##.######.#.##.###.....########.#.##..#.#.....#.#.##...#...##.####...##.###.##....#.#########.####.##..#.#.##..####.#.#.####.#.#######..##.##.####......##.######.#.#.##...##.#...##
#.#.##.##...######.##.#.##.....##...####.##.##.##.#.###.#.#..######..##.#.#....#.#.####.#..###..#..##...#.#.##.##...##.#.##..#.#.#.#.##.##.###......####.###.....##.#.....####..#.....#.##.###.#.##.#.##..#.#.###..##.#....##.#.##...##.##.#.##...#.##......##.#......####..#.##.##...###.##..##.#.#........#######.....#####...##.###.####.##...######.#####.#....##.#.##...#.#..##......##...........##.......##.##..#.##.##.#########.....####.####.#.##.##.###
#.######..#........#..#..##.#.##..#.##...##..###..#.#...#.##.....###.#..#.###.##.#....#.##.####...##..#.#.#..#####.#####.##.####.###..#.#...###.#.#....###.##.##.#..##.##....######.#....###...#..#.#.#..####..###..####.###..######.##.##.#.##.###..#.#.##..###.#.##....#.##.#.....#...#.##.#####.##.#.#####..##...######.#######..##..##..##.#...#.#...##...#.#.##.....###.#.#.###.#.##..#.#.###.#.#....#.###.....####.##.#..........#.#.#..##.....###.####....#
#.#...#..####.##.####.#.###.#..##.#..###.##.##...##...###.###.##...####.#...###..#.#.##.##.#....#..##.#.#.#.####.####....#..##.....#.#####.##...#.####......####.##..#..##.###.##...##.#...#.#.#.#######...##.##.##....###.##...##...##..#.#.#...##.####.###...#.#.##.#########.##.##.######...###..###.....##.####...##....##.#.##.##.###.#####.#.....#.########....#.#...........#.#..#.##.#...#.########...##.##..######...##.#.#####.#.#.##..##.###....##.##.#
#.###...##.#..##...##.###.###.######.#....#.#..#..###..##..##.##.#.##...#.#####.####..#..###.#####..#.#.#.#.......#.####.##..##.#.##.##.....#.#.#...####.##....#.##.#####.......##.###.#.#.#.#.#...#.##..#.##....##.#.####..##.##..#.##.####.#.#.#.....#.#...#####.#.......#.##..###...#...##.##.####...#.#.#...##..#....##.......###..##....##..#.##.##...###.###.#.#.##.##.#.#.###.####..#.#.#.####.#####.#..#..##......#.#..###.....###.#.######...##.#.##..#.#
###.###.#....##..#.#......##.....##..#.##.#.##.##.#...##..##...#.#..##.##..##.####...###########...##.#.####.#.####..#.#..##.##.#.##..#.##.######.#....#..##.#.#.##.....##.####.#..##..#######.##.##....####..#######..#...##...##.#.##.#.########.#.#.#####.....#.##.####....##...#.#.#.###..#...#.#.#.#.#...########.#..#####.#...##..#.#.####.#..#..#.#......##.###.##..###.#..##....#.####.#..........#.#.########.####.#.###..#########....##..#..#.#..#.####
##......#.#.####.####.#.###..#.#.##.##.##.###...####.##..####.##.##.##..##.....#.##.###........#.######.##...#......##...##..#..#..##.#.####.#....#########..#####..###.#....#########.....##..#######.##..##...#.####...#####.##..#.##....##.#.######....###.#.##.#.....#.####..###.#.....##...###.###.#.#.####.....#.##.....###.###..##.#..##..#.########.#.#.##...#####..##.######.#.#...##.#.#.###.#.##.#......##.....###...##.....#.##########.#.####.##..###
#..#.#.#######.#..##..#..###.###..####.##...##.##.....##..##...########..##.##....#.#.#####.##....#.#...#..#.##.######.#..##.####.##..###.#....##.........##.....##...####.###.##......#.#.##.##..........##..#.....##.#..#.#..##.##..##.#........##...#.##.#.#.##.#.#.#.#....##...#.#.#.#.##.#.......#.#.#......#.###..#.#.#...#..##.######..##.#...#.##.#.#.#.##.#.....##..#......#.#.###..#.#.#.##..#..###.######..#.#..##.###..#.###.#.#####.####....#######.#
#.######.#.......##..###.#.#.##..##.....##.##..###.#.####.#..#......##..##...##.#####.##....###.#...##.###.#.##....#.###.##..#.....##..##...#####.###########.#.##..####........#.#.##.#.#..#####.###.###..##.#####.##.#.##.##.##..##.#..#.##.#.#####.##....#.#.#..#.#.#.##.#.######.#####..#.#.##.#.####.##.#.#.#...####.#.##.###..####.....###.###......#.#.####.#.#.#..#.####.#.####...#.##.#.#####.##..##....#.#########....##.#.#.#.#..........#.######.##..#
###.####...##.#.####..####...##.####.#.###..##.#...#...##.##.#.#.##..####..###.........##.#.#...#.#..#.#.#.#.##.##....##.###.##.##..##.#..####............#.#.#..##....##.#.#.###.####.###.##.....#.....##.##..#..####.#.....###..######.###..#.###.#####.#.###.#.##.#.####.#......#....###.###.#..###.####..###.#.###################.#####.#.#.##..#.##.###....#.#.#.#.##...##.#...######..###..#.####..###.##...###...###.#.##..#.......####.#####.##........##
#....#.###.#..#.##...##.###.##..##...#.##..##..###.##.###..#.#.#.##.##....##...##.##.#.##.#####.###.##.#...###...##.###...##.##.##.##..#####.####.#.###.#...#.#.##..#.##..#.#.#.###......#..##.##.#.#.###..##.##.###.###.######..##.......###.#........##.#..####.####....#.##.#.#####.##.#...#.#.###....##.######.............##.........##...#####.#.##...##.###.#.#.#####.##..#.#.....###...##......##...###..#.....#...#.#..##.#.##.##....#.....####.####.#..#
####....##.##.#..##.##.......#.#####.#######..#######...##.#.###..#.#####..###.##..#.#.#...##....##..####.##...#.##...##.##..##.##.##.##..........########.####..##.#.##.##.#.....#.##.#########..#.#..###.##.....#...##......##..##.##.#.#.###.##.#.###..##..##....###.###.##.####..#....##.##.#.....####......###.#.#.##.#.#....#########..#..##...#.##.#.##..######.....#..##.###.#.#..######..#.#.###.###...##.#.###.###.#.#####..#..#.#.##.###..#.#.######.##
#####.#..###..#######..#.#.#.#...##.......##.###.#....#.##.########....##.##.#..#.##.###.####.#.####.##...###.##..#####...##..###...#..##.##.#.##.......####..#.###.#.##.#####.#.####........########.##.#..##.##...######.#.##..##..#..#....##.##.#...##..##..###.##.....#.##......###.#..#.##.#.#.#######.##.##...#.#.####.##.####.##.######.##..#.#.#..#.##.##.#.##.#.######...##.#.##.#.#########...#..######..###########..#.#####.#######...##..........#..#
#..#####.####......###.#.#.#.##.##..#.##.##..#.....##.#.##........##.#..###....##.##.#...##...#.#.#..##.#.#...###.....##.##..##...#.##.#####.#.#..#######....####...#.##....##.#######.#######.....##.##...##...#.#.##...###..######.##.###.##...#.#.####.####...######.#####..#.##..##.####..#.#.#...#..##########.#.#....#..####.#........######.#.###.##..#.......#.#......##.##..#..#..........###.###..#...##..#..###.######.....###.#.#.######.##.#.########
##.#.#.#......###.##...###.#..#######..####.####.#.##.#..##.##.#.##..#.##...#.###.##.###..##.##...##..#######..##.#.###...##.###.##.##.#.#...####.#.#.#.#.###########.##.#.##...#.#......##.####.#....####..##.##.#....#..#######.##.##.###.###.####..##....##.#....##.....###.#####..####.##.#.#.#.#...##....#.#####.##########.#.#.########....#.#####..#.##.#.#.#.#.#.###########.#####.#.###.###.######...#..##.#.##.#.#.##.#.###..............######........#
#........#.##...#.##.#.##..####.......###.###....#..#.##.##..#.#####.#.####.#...#..####..###..##.####..#.#.#..##..#.###.#.##.#...##.##.#...#.###............#.#.##.#######..##.##.#.#.#.##...#######.##.##.#########.####..###....##..###.....###..#.####.######.#.###.#.#..##.######..##..####.#.#.#.#..#.##.#...##......#...................######.....####..#.#.#.###........##....##.#.#...#......#.#.##.##.###.................####.#.##.#.#####.####.#######
#.#.#.##.#..##.##..###.###....#######.#.#..##.##.#.##.#...##.####.##.###....#.#.####....##...##....###.#.....######...#.#######.###.##.#.#.#.#...#.##.#######....#.#.#.##..##.....#.#.#....###.###......##...##.##....######.#.#.######...#.#.....#####........###.##..###.###...##.##..#.##.########.##....#...#..##.#.#...#####.#.##.#.#.##..#.######.##.#####.#.#...##.#.##.####.#....####.###.#.#......#.####...######.########....#.#.##.#.........#####.#.##
#####.#..##.##.##.##....##.##...###.......######.#..####.##........#...######.#...##.##.##.#.###.###...##.##......#.###.##.###....#..###########.#..#.....#.#.####...#.###..##.##.###.##.###.#.#...#.#######.....#.##..#.#.#...###....###.#.##.##.....##.#.##.####.#########...#.....##.......##.#.#...#.#.###.##.##..#.#.#.....#.#..###.#..##.....#..###...#.###########.#.##.#.#..#.#####.#.#.#.#.#.######....#.#......###......####.#.#..###.#.##.##...##.....#
#.....#.#####...#.###.#.##.##.###.####.#######...#.##....###.#.#.#######......##.##...#.######.....##.#####..#.#.##.##.....#.###.###.##..........##.##.####........###...#.##...#..##.##.......##.##.......#.##.######.......#.....##...###..#..#.#.#..###.##.##.#.........###.#.#.#.####.###......##.#######..######.###.##.#.#####..##.#.###.#####.###..#......##.#.#.#.######...##.......#...###.#.....##.##.####.#######.####....#.#.########..#..#.#....#.#.#
#####.###.....#####...#.##.##..##.#........##..#.####.##...#.#.#.......####.#.##.###.##.#......#.#.##.##.#..##.#.##..##.#.##.#....##..##.###.###.##.##......##.#.#.....#####..#.##.##.##.#.#.#######.#.##.##..#.##.....#.#.###.#####..######.######.#.##...#.....##.#.##.#.##..#.###..##....###.####......#.##....#.#..##.####...##..#####.##..........##.###.####......#...#..######.##.#.###.####.##.#.######.###.............###########.#.####.#.##.#.#.##.#.#
#.......##.##...##..#.###...#.##....#.##.#####.#....###..###.#.#.##.#.##....#..#..##..#####.####.####.##.##..#####..##..#.##...#.###.#####...#...##.##.#.#.###.#.#.######.##########..#..#.#.......#.#.##..#.#####.#.#.#.###.....####.#.........##########.#.#.#.######..#.##.#######..##.#######.#####.#....##.###...##.....#.#..##...##...#.##.########...#.##.#.##.#####...##....#.#..###.#....#..#.#....#.###...#.#.#.##.######.#.#.#........#.###..#.####.#.#
###.#.#.#...#.#..#.##.##..#.#..###.##.##...##..##.#...##...#.#.#.##.#..###.###.#.##..##......##.....###.....##.....####.#.#..#.#...#.#.#...#.###.#..##.#.#.#.#.###.........#.#.##.###.##.#.###.##########.##.....#######...##.##....###.##.##.#...##.##....###.#......#######......##.##.......##.#.##########..###.#..###.###.#####.######.#.##......##..###.......#########....#######...#.##.###.#####.#.....##.##.#.#..#..............##.#.###...##.#..##..#.#
###.#.#.##.#####.###..###.#.#.##...##.####..#.###.#.####.#####.######.####...###.##.####.#.#.##.#.#.##..###..##.##..##..#.##.#.##.####...#.#.##..##.##.#.#...###...#.##.##.........##..#.#..##.####...#.#..##.##..##.....#..#..##.#...#.#..##.#.#.....##.#...####.###.....##..##.#.##.##.###.#.........#.#.#.##...######....##.##..#......#.#.#..#.#.##..#########.####.#...##.###.####..#....###...#.#.#.#.#.####..###.##.#.###.####.##.##..#####.#######.###.#.#
#...###.##.#.#.#..###.#...###.#..#.##....#.##.#...#..##....##..##...####...#.##...####.#####.#..#.#..####...#######..##.#.##.#..#.#.##.###.#.#..###.##.#.#.#...###.#.##..##.#.####..#.##.#.###....#.###.##..#.###..#.###.##.##.##.###.#.#.###.#.##.#.###.#.#...##...###.#####.#########..#######.###.#........##.###.########.....##.##.#.#.#.##.###....###......#........####......#.#######...###.....#.###....#.###..##.#..#########...##..#..#.....#.###.#.#.#
###...#.#......##...####.##...#.##.##.##.#..#####.#.##..#.####....###..##.##..##.##....##....##.#.####....#.......##..#####..#.##....###...######....#.#####.###...#..#.#####...#####..###.#...##........######.##.###....#.##.##...#.#.#...#.#.##.####..#.#.###..#...#...##........####......##..##.#.##.#####..#.#.....#####.#.##...#####.#.#...###.#.....##.###.##.######.#.#.##....##.#####.##..###.#..##.####.##..##..#.##......###.####...##.#.#.......#.#.#
##..#.###.#.#.########.#..##.##..#.#..##.##..##...#####.#...##.##.####..#.#..##...##.#####.#..#.###....#.###.#.##.#..##..##.##..##.#######.#......#.##....##...##.##.##....####.....##...#.#.#.##.######..##.##.####...#.##.##.##.#######.#.#.#.##....#.##.#.######.####.####.#.#.###....#.#.####..#.#.#......##.....#.#.....########..#.####.##.##.####.##..#####.##........#.#..#.##.......######...####.##..###.##.######....##.###.....##.####.#.#.##.#.##.#.#
#..####...#.#.#.#####....##..##.#####.######.####..####.#.#.#...#...##.#####..###.....##...#.##...####.####..#..#.##..##....##.#######.#...#.#.####.##.############..##.##....#.#.#####.######..#......##.......#.######.##..#.##...##.####.#.#.##.##.#..#.#....##.....#.#.#..#.#..##.#.####..#.#.####.##.###..####.######.#.##.##..##....###.#........#..##...#.#..#.##.###.##########.#.####....######....##...###..##.....##..#..####.###.....#.#.#.#########.#
##....##.##.#.#.......#.####.##..##.......##...###..##..#.###.###.#......##..####.#.#.##.#.#.###.##.......##.##.###..##..#.##..##....#.###.#.#.#....##....#.......##.#...#.#.##.#.....#..##....###.###..##.##.#....##.....##.#.##.#.......###.#.#..####.##.##.#..##.##.#...##########.#....#.##...######....##...##......###.......#####.##.####.#.#.######..#.#.##.#..#..##.......##.#.#......#######.###.#####...##..###.#..#.###...##...##.####.###.........#.#
#..####...#.#####.#.#.####....##..##.##.###..###.#.####.#.##....#.#.#.######.#..#.#.#.#..#.#.#....###.#.#.#..##...#.###.##..##..##.#.......#.######..##.#...#.###.##.##.##.#..#.##.##.#.#####.##.....#.###.##.#.##.###.##..#.#.##.##.##.##########..#####..#..#####.####.#####.#....###.#########..#...#.#.##..#####.###...##.##.#.....#....##...#.#...#######....#.#.##.####.#######...##.#.#..........##.....#.#.##.####.#.##...#.#.##.#.##....#...#.#.#########
##..###.###.##.##.#.#....#.#.####.#####...#.##.....##...#..##.#.#.###......####...#.#.##.#####.##.##..#.####.##.###...#.#..##..##..#.#.##.####......##..#.###...####.##..#.####..#.##.#..##....####.##...#.##.#..#.#.#.##.##.#.#..##.##.......##.##...##..###...##....##.........##.##......#.####...#########....##...##.##..####.##.##.##..##.##.###.......#.####.#..#.##....##...#.#..#####.####.######.#.##########....#..#.#.#.#..#.#.#..#.##.#.######...#..#
#..##.....###.....#.#.########....#.....##########..#.#.#.#####.#..##.#.#.###...#.#.#.##...##..##..##.#..##..#...##.######.###..#.##.#.#.....######.#####...##.####..##.##...##########.####.#....#..#.#.#..#.#.####....#..#.#.#.###..#.#.######....#..#####..#.##.##.#####.#.#.##...###.####.#....#...##....#.#######..#.###....######...#.##...#.#...##.##.#...##.#.##..##.#....###.##....##....#....##..#....#.#.#####.###.#.#.#.#.##.###.##########.#.#.###.##
##..##.##...##.#.####........#######.##..#.#.##....####.#....##.#.#########.###.#.###.####..##.#..##..##..##.#.#.#.....##..#.#.###############.#.......##.######..#.##...###...##....##.####.#.##.#.##.#.#.####...###.#.##.###.#.#.#.##.#....#.###.###..##.##.######......#.#.#..##.####...##.#.##.#.#....##.#.......######...#.####.####.#.##.###.##.###################..#.##.#..##.##.##.##.#######..##.##.#.........#.##..#.###.#.##..##...#.##.##....#.##...#
#..##...#.#.##.#....##.##.#.##...#.#.##.##......##..##..#.####..#.......##......#...###.###.#####..#.##..###.#.#.#.##.######...##.....#.##.#.#.##.##.#..#...#....##..###...#.#....##.##..##..#.##.########.#.######...#..####..#...#.##.#.##....####...##...#......###.#.##.#.####...#.#.#....#.#..###.#.##..#.#.#.#..##..##.##.......#.#####....###.....##.#.#.#.......#.##.##.##..###..####........##..###..#.#.###########.#..##.###..##..#......##.##......###
#.##..#.#.#.#..##.#.##.####.#..#......###..#.#.####.###.#...##.##.#.#.#########.##.####.#.###.#...##.###.#.###.###..#.##.#...#.##.###.#....#......##.#.##.#...######..##.#####.#.#########..##.##...#.####........##.##.###.#####.##..#.#..######.####.####...###.##...######....##.##...##.###.##...#.#.#####.###.##....##...#.#.#.#....#.###.#...#.#.#..........####.########..##..##.##....#.#######.#####.#.#.....#####...##.##..##.####.#.######...#.##.#...#
#..##.#.###.##.#..#..#....#.#.###.#.#...##.###.##.#..##.##.###..#.#.#....##......###..#....#....#.##.#.......#.##..##.##...#.######.....##...#.##.##.#..#.#.#......#.##...#.####..#.##.#...##..##.#....#.#.#.##.#..#.#.........##..##.#.#.####.....##..#....#..#######.....########..###.##...####.###.#...###..##..#.##..##.##.#.#.##.#....##.#.#####.#.#.#.#.#.########..##.######.##..##.###...##..#.....#####.#####.#.##.##..##.#####.#..#...###..#.#.##.#####
#.###.#..##.#..##.#.###.###.#.#...#.#.#.##..##.#....##...#.##..####.##.#.###.#.#..###.####...#.##.##.#.#.#.###.#..########.#####.#..##.##..###.##..#.#.##.###.#.#.##.##.#.....##.##.##.#.#.##.##..#.##...#.#..###.##.##.##.#.###..##..###....#.#######.###.###.....##..###........#####...#.#..##....#######.#.##..##..#.########.#..###.##.##.###.....#.#.#.#.#.....##.##........######.##.#...#....######....##..........#.##.###.......##.#.#.....####.##...###
#.##..##.#..#.##..#...#..##.#######.###.###..####.#..##.##..##...##..###.#...#.##..##.####.#.#.##.#..###.#...####....#.##..#.......##..###..##.#..####.##.###.#.#..#.##.#.#.#..###..##.###.##.###.#..#.###.##...#######.##.#...##..##.##..##......##.#####...##.##..##...##.#.#.#####.##.#########.####.###..#..#.####.#...###.#####..##..###...####.#.#####.#.#.#.#.......######...##.###..###.##.#....###########.##.#####..#.##..##.#####.#.##.#.##..#.##.#...#
#..##.##.#.##..##.#.####.####.......##...###.###..#####..#.##..#####..##.#.#.#..##.#.......#.#.##.#.##...###...###.#...######.#.####..##...##..##...##..#...#.#.#.#######.####..##.###.#####....###.##...#.##.#..#..##...#.#.###..###.###..##.#.###...##.#.#.##.###.###.##..#.#.......##........##..........###.#..##..#.#.....#..#######...###....###....####.#.####.#.####....###.##...##...#..#.#.####.####.#.#####..#.###.###..##..###.###.##.#....##.##.##.##
#.##..#..#.#..##..#...##....####.#.####.##.....#.##.....######.#############.#.##..##.###.##.##########.######..#####.##......#.#....##..#..##.##.####.########.#.....##...####.##.#.....##..##...#..###.#######...##..#.###..#####....##.#####..#..#....###.##...#..##..##.#.#.##.##..##.#.#.#.##.#.#.#.#.##.####..####.#.#####.##.##.#######..#.##...#.##....#....#.#......##.##.....#..##.##.####.................##.....####..####.....#####..#.##.##.##..#..#
#.##.##.##.#.####.###.##.##.######.#.....###.#.#.###.##.#.##.....##.....##...#####.##..##.#....##............##....##.##.#.#.##.#.#.#######.##.##....#........#.#.###.#..#..##.......###..##..##.###...####.##...###..##..##.##.##..##.#......##...##.#.####.###.##.##..##..#.#.#####.###.#.#.#..#.#.#.#.#.......#.##....#...................##.#####.##..###.###.#.#.#.##.#.######.#.###.#####...##.##.#.#.#.##.###.#..#.#.##.#.##..###.#.....#.##..#.##..####.##
#.#..##.##.#.#......#.##.##.#..########.##.#.#.#.#...##...##.#.#....########.##.##..##..###.##.##.#.#.#.#.##..##.###...#####.#########.##...#...##.####.#.#######..#####.####..#.#.#...##..#.##...####.......##.#####..##.##.....#.##..##.#.#..#.#..#####......#..#.#..##..####.....####..#.#.#.######.#######.#.#..#.##.##.##.#.#.#.######.###...#.#..##.#.....#.#.#.#..###.....##.#.#.###.#.##.###.######.#.#############....#..##.....##.#.####..##..##...##..#
#.##..#..########.###..#..####...##.#......#######.#.#..######.##.#.##..#.#......##.#######..#.######.#.####.###.#.#####......####.#......#.#.###.....###.......##....##...###.#.#.#.#.##.#######...#######.##......##.##.###.#.##.#..##..###.#####.....##.#.#.#.##.##..####....#.#..#.##.#.#.#....##........###.##.#.##.#..########...#.####.##.##...###.##.#.######.##...#.##.###.#....##....#.#.......####.......#.....##.###.##..#.#..#####.###.##.##..#.#####
#.##.######.........####.###...#.#....##.####.#..###.##....###..###....##.#.#.#######.......####......#....###.#.......###.#.##.#....##.#.######..##.####.#.#####..#.#####.#...###.#.####...##.##.#..##.#.#####.#.####.##..##.#######..##...###.##..#.####.###.#.#...##...###.#.####....#.#.#.##.#####.###.#...#..#.#.##.##...#.#.####........#######.#.###..#.#.#.####..#.####.#.#.##.#....#.##.#.#.#.#..######.#.##.#####...######.####.........#..#..#.##.....#
#.##......####.#.#######...#####...#.##..##.....##....##.###...##...##....###.......##.##.#..##..##.#.#.##.....#.#.#####...#.#..###.##..#.#......##.....#.#.....##.#...###.#.#..####....#.#.##....#.###....####.#####..##.##.....##...##..#......##.#....#...######.##..#...#.#...##.#.#########..##.#...###.##############.#........#.##.#####.#.##......#.##........##.#....###.###..#.#.##..###.###.##......#.#........###....##..#....##.#.#.#####.##.##.#.#.#
#..##.######.###.####..#.####.#..#.#..##..#.##.###.#.##....#.#..#.#..##.####..#.#.###...###.##..##..#.#..#.#####.#.....#####.##.....#..##.###.#.###.##.##.#.##.##..#.#...#.#.##....##.#.#.#..#.#.##.....##..##......#.##...##.##..##.####.#.#.##..#.##.###.#...###...##.#.#####.#########..#.##..###...#.###....###..##.#.#.#.##.#.###.##.........######.##.#..#.#######.##.####....##.#.#..####...##...##.##.####.#.##.#.######.##.#####.##.###.....#..####.#.#.#
#.##....##..........#.####..#...##.#.####...##...#.######.##.#.####.###....##.#.#...##.##....#.####.#.##.#.....###.######.#..#..#.#.##..#.#...####...#.####..#..##.#.#.#####.#..#.#####.#.##.#.#.##.#.#####..##.#.#.###..########.#...##..#.###..##.#...####.#...##.##..#.##.#...#####..##...###...##.####.##.#...##......#.#.##.#.######.#.###.###.#######.#.##.......#.##..#.#.#######.#####.###..##.###..#....#.#..#.#......######......#..##.######..#.#######
#..##.#####.###.#.#.....###.##.#####.##...#.##.###.##.....####.#.####...##..###.#.#########.##.#....#.#..#.##.####....##....###.###..#.##.###....##.##...##.######.###....##.##.#..######..#.#.###..#....##.###.#.#...##.##.###.####.####.#...#.##..#.#...##.#####..#..#####...#..##.##....#...#.#.#....##.###########.#.####..#.#...##.###...#...........###.##.####.##..##......#...##.........##..###...##.#.#####.#.#.#.#####.#...##.#.##.##......##......#.##
#.######.#####..###.#.#.#...##.....#..###.#.##..##.####.#..##.......###.###..##.#.##........##.###.##.##.#.#.....#.####..##..######.##..###...####..###.##.......###...#######..##..#.######.#...##.#########.#####.###..........##.....#.#.#.#..##.###.###......#####.##....#.##.......##.#####.####.#..#.#...###.##..###.###.#.###.#...##.#.###.##.#.#.####.##....#.#..###.##.#.#.################..###.###.#.....#######..##.#.########..#..#.#.##.##.#.##.#..#
###.##.#...#.##..##.#######....##.##.##...#..##..#..##..##.##.#.#.#.##...##.##..#..#.#.###.##...##.##.#..###.##.##....##.#..##.##....########....##...#..##.#.########.....####..##........#.#.###.....##......##.....##.###.#######.#.####.#########.....##.#.#..##....##.#.#.###.#.##..#.....#...####.##.#.###.#.##.####..##.#...#...######.###..#.######...##.#########....###.#.###.###.###.#..##..##...#.#.#.#....#.###.#..#.#.##.....###.#.#..#..#.#.##...##
#...#..###......###..#.##...#.##...######.#.##..##.####..#.#..#.#.#.#..#..#####.##########..##.##..##.##..##..####.#.##..##.##....#.#####.#.#.#######.##.##.#.......##.###...##.####.###.#####...###.#....#.######.#####..##....#.#..#.##.......#.###.#.#########..##.#.##.#.#...#.#..#.##.######.##................#......######.##.#.....##...####..#.#.#####...##.#.####.####........#.....#.#.##..####.##.#####.##....##...##....####.##.#.#.##.#.##.#.#..#..#
###.##.....##.#...##....##.##.###.###..#..#..##.##...##.#####.#.###.#.##.######...##.......###..##..#.#..####..##..###..##..##.#.####..............##.##..###.##.#.###...#.#..#..##....#....##.###.#.#.#.##.....##...##..###.#.##...##.##########.#.#.#..##.#.##..#####.##.####.####.#################.#####.########.#######.##..##.###.####.#....####......##.#......#.####....#.##.#...#.#......##....#.##.##.####..#.##..###..####....##.###.##.#..#####.##.##
#......#.#.#..#.#.###.#.##.#....#...##...##.###.##.###....##..#..##.#..#..#.##..#..##.##.#...#.####.#.##...#######..###..##..#####....#.#.#.#.##.#.##..######.####.##..######.#.####.###.####..##....#.#..###.#..##.####...###..###..#........#.#...####.......##.#.##..##..##...##............##.........##..##.#.#...#####...####....#....#.##.#......#.##..###.####....##..#.##.#..#.#.###########.#.##..#.......##.#..##..##.##..#.##......#..####....##.##..#
##.#.#.#.#.##.#.#..##.#.##.###.########.##..##..##...####..##.##.##.#.##.##..##.##.#..#..#.#.###.#..#..###.....##..##...####..##...##.###.#.###..#..##...##.....##..#.###.#.######.....###.###..####.#.####...####..##...#...#.##...##.#.#.#.##...####.#.###.###.....#.##..##..#..##.#.#######..#.###.#.#.###........#.......#....##.#.#.######..#.#.#.##.##.##.....#####..##.#..#.####.#.##........#.#.##.###.##.######.####..#....#####.#######.##.#.##..#.##.##
#..###.###.#..#.##..#.###..##.......##..#######.##.#....####..#...#.#.#.....######.#.###.#.#.##....#######.#######.###.##.#..###.#..###...#.##..###.##.###..#.#..##.#.........##.##.##..##..#####....#...####....##..#####.######.####.#.#.#.##.#####.....##...##.########..##.#.###.#...######.#.#...###...#.##.##.##.###.#.#.#.###.#.#####..##.#.########..##.#.#...####.####.##...##.#.#..#.##.#####..#..##..#....##....###...##..##.....##.####..#..##.#..#..#
##.#....#####.#..##.#..###..##.#.#.####....##.#.##.##.#....##.##.##.#.#.###....##..###...#.#..##.#.##............###...##.##.#.#.##.##..#.#..##...####..##.#####..#.#.##.#.#.##......##....##.###.#.##.#..##..######...##.....##..#....#.#.#........##.##.##.###.......######..#.##..#.#......#.#####.###.#.#.##..#.##...#.#####...######....#####..#..#.######.#.#####..#...##.###.###.#...##.##....#####.######.####..#.##...#..#.####.##....#.##.###..###.##.##
#####.#.....###.##..#.##.#.#####.#..##..#.##.....###..##.#.##.#...###.#...##.#####..##.#.####.##.#.##.##.##.###.###..#.##....#...##..##.#.#.###.#.##...##...##...####.######.###.##.##..##......#.#.##.#.####....##..#..##.#.##..##.#.####.##.#.#.######..##...#.#.#.#..#.###.##.###.###.##.#.###.......#.#.#.#..##.##.#.#....##.####.##..##.....##...##.#.##.###.......##.####...#.#.#.#.##########...##...#..##....#.#######.######....##.##........#####..#####
#.....##.####...##.##.#....##....#.####.#.###.##...##.##.#..####.###..##.##.....##.##..#...##.##.#.##.##.#....#...##.#.#..#.####.##.##..###...###..#.#..##.##..#..###......#..####...##..#.##.#.#.#..#.#.##.#.##..##.##.##.#..##.####...##.##.#.#.##...####..#.#.#.###.##...###....#..##..######..###.###.######..####.#.##.####.........#####.#.####...........#.#.##.##...#.#.###...###....###...##########.##..#.##.#.#..........####.####..#.########.##...#.#
##.##..#.##...#.#..####.#.######.###....#...#.#..#.##.##.#####.....#.###..##.#.##...##.#.#########.####..##.#.#.#..#.###.####.##.##..#.##...#...#.##.#.##..##.##.##.##.###.##.#.##.###..##..#.#.#.#.####.##....##..#..#######.####....######..###....#....#.####.#..#####.#...###.#######..###.##.#....##......##.##.#########.#.##.######...#####.##.######.######..####.#.#.#####.#..##.#.##.###.##..........#.##.####.#####.######..###.##.##...####.#.####...#
####..######.#####...##.#...#.#....###.##.#.####.#.##..###...##.#######..##..#.#..###..#....##.....#..####..#.###.#####...##......##.#.####.###.###..#..##.##.#.....##...######.....##.##..##.#####....#..##.#.##.#########.....###.#.##.####..##.#.####.####....##..##.#.#######.#.....##..#..#####.#..#.#.##.##......###.#...####........#..#.##.........#.###.##.###.###....#..####.#..#.........#.####.#.###..###.##.##.....#.....##......##.#...........##.##
#.##.##.........##.#.####.#...##.###....###.##.#.#..##...###....###.....####.####.####.#.#.#######...##.##.##...#..##...########.##..#.#......#...##.#.###.##.##.##..#.#..####..##.###.#..##....##..#.##.###.###..#.#...##..#.###...#......##.###.####.....##.#.####.......##.#.....#######...##.#.#.##.###.######.##.##.#.#.####.##.##.#.###....###.#.#.#####....#..#....##.#...###.###.##.#.#.#.#.....#########..##..#..###.#...##.####.#.#..####.###.###.##..##
#....####.##.##..#.#..##..###.##..###.#...#.##.#.##.##.######.#...####.#####..##.....#.###.##......#.#......#.###.###.#.##........#.##.#.##.#.#.#..#.#.##..#...#.##.##.##..##..##..#.#.##..##.#.###.#..###....###.....#..##.#...###.#.#.##..#.#.#....################.#.##....###.#..#.##.#.#......#.##.###..##.#..#####.#.#.#.#...#.##.#...##.#.##..#.####.#..#.#####.##..###.#......##..#.#.#.#.###.###.#.....##..##.##.#.####.##.....#.#.##....#...#..######..#
####...#####.##.#####.###.##...##...###.#.#.##....###..#......#.#..##....##..####.#.##...#.######.##.##.##.########.###..##.##.#.#######.#..#.#.#.##.#.###.#.#.#..####..##.###.###...#..##.##.#.#...#.###..#.##...#.####..#.##.##...#.#..#.##.#...##..#.###.##.#.##...#.##.##.##..#.##.##.####.#.######...##....##...#.#.#.....#.###.#..#.##########.#..##....####......##...#.#.##.####.######.#...#.###.#.#########........#.#..##.########..#.###.###...#.###.#
#....###......#.##.....##..###.##.#...#.###.#..#.###..######.##.######.#..##..##..#..#.#.#.#..###.########.#.#......##..##..#..#....##...#.##.###.##.#..##.#.#.##....##.#...##.#...#.#.###.#######.####...##.####.#...##.##.##..##.#####.#.##.##.####............###.##.####..###.#.##.......#.#......#.###..####..#.......###.#...####.#....##.#.#..##..#.####....##.#.##.#######..##.#####..#.#.#.#...#.......#.#.###.##.#...#.##........###.###.#..##.#....##.#
#.#.###..###.##.##.#.#.##.##...##.#.#.#.##..##.#...####......##...#.#..#.##..###.##.####.####......##.##.......#.##.#..####.##.#.######.##.##.##...#.#.##..#.#####.######.#.##.###.#.###.....#.##....###.###.#....#.#..######..##.....##.#.#..#...#.#.#.###.##.#...###.....##...###....#.#.######.##.##...##...#####.##.##...#...####.#.#.##......##.###....#####.###.###........##.....#.#..##.###.#.#...#.#.#......#...####.##.##.#.#.##.#.......##..###.##.##.#
#.#...#####..##..###.####.##.#..#.#.#.#####..###.#.###..#.##.##.#...#.##.##.##...##...#####.#.####.##....#.#.########.##.####..#....##..#..##..##.##.#####.#..##........#.#.#...##.#...#.#.#...###.#...###.####.###.#.###.##..####.####..#.##.#.#.#...#...#.##.###..###.######.###..#.##.#.....##.##..#.###..#...##...#..##.##.#...#..#######.###..#..##.##...##....#...##.#.#.######.#.....#####...#.#.#####.#.#.##...#########..#.#.#.####.##.##########.##.##.#
####.##.....####.#...##....#.#.####.#.###.##..##.###...##.#..##.##.##..###...###.##.#..###....#.....##.#.#.#.##.##..#..#.#.###.#.##..#####.#..##..##..##...##..#.##.##.##.###.#.##.#.#.#.#.#.#...###.#......##..##..#......#####......##.#.##.######.##.###.#....##..##....#.#...##.#.#..#####.##..####...##.##.####.##.###..#.#.###.###.#.##...#.##.##...#.#....########..#.#.....##.####.##..######.#.....#.#.#.##.#..##.#.#.######.###....##.#.##.....#..#.####
#....##.#.#...##.##.#####.####.#.#..#...#.##.##....##.##..##.#...#####..###.##...#..#.##...#######.##..#.#.#.....#.##.##.....#.#####.##....##..##..##..###..##.#.##.##.#....#.#..#.#.#######.#.#...#.#.###.##..##..##.#.#######..#.####..#.##....##..#....#.##.####.####.#.#...#.#..####.....#####....#.#.##..#.#.....####..####............#.#.#.#...##.##.##.#........##.#.###.#..#...##..##.#....#.#.#.###.#.#..#.##.............#.##..##.#.....#.###.##.#....#
#.#####.###.#.##..####......##.#.#.##.#....#.#..#.##..#..##..##.####.####...###.##.##..#.#.#...##...######.###.#....#.#..#.#.....#.#..####..##..#.####..##.#####.#...###.#.##.##.#.#..#.#.####.#.#####...#..##.##.##..#.......#.##....##.#.##.#.####.#.#.##.#.....#.##...#####.####....#.#.#####...##.#.#.#..##.##.##....#########.##.##.#.##.###.###..#######.#.#.#.#.#####...#.####.#####......######.#...###.##.#..#.#.#.##.#########.#####.###.....###..#.####
#.##....##..###..##....##.###....###..##.###.##.#.##.###..##.##..#......##.##...##..#.##.#####.###.##.#.#....#.#.####.##.#####.###...#####.###.##....##.#..#.###.###..##.#.##.##.#.##........#.#.....##.##.##..##..##.##.#.#.##.#..#.########.###.##.#.#.#####.#.#######.#.....##.#.##.#.#.....###.######.##.####..##.#.##.#.#...#..####.###....###...###.###..#.#######.....#.#....#....##.##.#...##...#.#..##.##.#.####.#.##.##.##.#.####.#...###.##...##.#.####
#.###.#..##...##.###.#.#..####.#.#...##....#.##.#.##.#...##...##...#.##.##..#.#..##.#.##..##.......##...##.###.#...####..##......#.#.##......#.###.#.#..##.....#.##..###########.#..#.#####.##.##.####..##..##..####..########..##.#...##......##....#.#..##.#.#......##.#.#.#.##....#.#.#.#####.......##.#...####..#.#........#.##..#.########...###.......##.#....#..##.####.#.#.#####.##..#.#.#####.####.##..##.#....###..#.#........##....###.#.#########....#
#.#...#.##..###..#.######...##.#####..#.#.##.##.#..####.####.##..###.##.#..##.#.###.#.##.#####.#.#..###......#.#.#...##.#####.#.##.#..###.#.##..##.###.##..##.######..#.#.#.##...#.##....#######.....##.#..####....##........##..#.#.#..###.#.###.##.####.#..###.##.####.#.#.#..###.######.....#.#.#.######.#...##.##.#.#.###.######.#.##.....#####...##.#.##..######.#####....#.#.....#.##.##.#.###.###.#########.##.######.#...##.#########.....#......#.###.###
#.#####..#.#####.#.#......###..##.##.##.####.#..#####.#..##...##..##..####..#.#...#.#.##.##.##.####.##..##.#.#.#.#.######.....#..#.#.##...#..#.##...##.#..##......###.....#..##.##.###.#...#.#####.#######...###.#.###.##.#.##..####.#.####.#...###...##....##....####.#.#.#.#.###....#.########.#.#.###..#.#.#..#.##.#.#...#...#.#.......###..######.##.#..##........##.##.#.##.##.######..##.#..........##.###.#.##......#.#.####.....#.#.##.##.###.##.....#...#
#.######.####.#....##.###...##.....###.....####.##......###.####.##..####..##.##.##.#..###.....###..#..##..#.#.###...#.###.#.##.#########.#.##..#.####.##.#..#.#.##...#.#...#####...##.#.#.......####.#....###.###...#.####..##....#.#.##...#.######.##..##..###.###...###.#.#.#...##.........##.#.#.....##.#.####.##.####.###.##.###.###..###......############.######...########.......#.##..##.#.##.##........#..#.#.##.#.#....#.#####.#.#######...##.##.######
###.......#...##.#.#..#...####.#.#...##.##..#.#.#..#.##...#.#.....##....##..###..##.#.######.#...##.##..##.#.#..##.#.#..#..#..#......#.####.########.###..##.#.#.##.#.#.##.##.##..#.##.#.#.#.######...##.#......###.##....##.##.#.##.###..#.#.##......##..##..##.....#..##.#.#.###.####.#.#.#..#.#.##.#.##..#...##.##..##..##.......#..###...##.#######.#.#....#.....##.#..#.#..###.#.####..##.##.#..####.#.#.##.#.##.#.######.########.#.#....#.####..#.#.......#
##..#.###...#.##.#.##.#.###..#####.#..###..##...##.####.######.#.##..##..##...##..#.#.##.....#.#.##.##.###.###.##..####.#.##.##.#.#.##........##.#...####.##.###.##.#.#..####.##.##.##.#.#.#........###..##.#.#..##..#.##..#..#####...###.#.#####.#.#..##.##.##..#.###.##..###..##...####.#.#.######..#.######.##...####..####.#.##.##..###.#####.#.#.#.....##.#.###....##.....##.#.#....#.#####..##..#.############..###.#.##..............####...##.##.#.#.#.#.#
#..#####..#.#.##.######...##.......##...#######.##.#.....#.#...#..#.####.#..####.####..##.##.#.#.#..##.#...##...##..##.....#.#..#.#####.#.#.#......#...##..#..##..###.##.###..##.##.##.#.#.##.#.#.#...##.#..###.##..##..#.###.....#####...#....##.#.#.##...#..##.#...#.###...#.##..#...####.#......#.##....##...###....#.##..###..####.##.###.##........##.##..#..##.#.#####.#....#.#.#.####.....####........##.#.###........##.#.#.###.#.#......#######.#.#.###.#
##..##...#########......#.##.#.#.###..#.....##...#.#####...###.#.##....#.##..##.....#.##..#..#.#.##..#.#.#..##.####..####.#####.#..##...#.#.##.######.##..##.##..##...#......##...#.##.#####..#.#.##.######...#..#.####.###.##.##...##..#.#.##.##.#.#..##.###..#.##.####.###.#..##.#.###.####.##.#.###..####..#...#.########.##..##........#.....#.###.##...#.###.####.....###.######.#....###.#.#.###.#######......##.##.#############.#.#.#######....#####...#.#
#..##..#........##.#.##.###..###..###.##.#######.#.#.....#..##.#..#.#.######..##.#.######.##.#.###..##.####.#.....##.##.....#.#.##.##.#.#.#.#.......#..##..#####.##.#.#.#.#.###.#.####.....##.#.#..#....##..#.######.#......##..###..##.###..#..###.##.##...######.........#.#.###.#.......#######..###....##.##.##......#.#....#####.#.##...#.#.####...##.##..####.###.##..##....#######.##.###....##.#####...######...#........#..#.#.#.#.........#.##.....###.#
##.##.##.##.#.#.#..#.#....##.##..##.####...##....####.#.##.######.#.#......#####.#..###.####.#####.###.##...#.###..###..#.#...####..#.#.######.#.#.##.####....##.##.###.#.#...#.#.##...##.##..###.##.######.#........#.#.##.###...####..#...##.###..##.#..#.....##.###.##.##.#.##..#.##.##.......##..##.#.##..##..##.###...#.##.#.###.#.#..#.#.#....##.##...##...##...####.##..#.##.##.####....#.##.#........#..###.###.##.#######.##.###.#.#.#.############...###
#..#..##..#.#.#.##.####.#..#####.#.....##.##..##..##..#..#...##...#.##.#.#..##.#.####........##....##...###.#####.#####.#.##.##....####.###..###.####....##.####.##.##..#.#.#.#.#.#..#..#..#.##....#.....##.##.###.#####.##.#...#....######..#.##..###.##.##.#####..##..#..#.#.###.#.#..##.#.##.##..###.#..##.#####....#.#.#.#..#.#.#####.####.#.#####.###.#####....#....#######............#.#####.##.#.#.####......##..#.....###......#.#.#.#....#.#.#.#####...#
#####.#..###########....#.##.......#.#.##..##.#..####.#.######..#.#..#.#.##..#.#....#.#.#.#.##..##..##.##.......####....#.##..#.##.##.....##........#######....#.#..#..##.#.#.#.#.##.#.#####..###.##.#.#..#.#....#....##.##.##.#####..##....##..#.##...#####...##..##..###.###..##.####.##.#..#..####.#.##..#....##.#.##.###.##......#.##..##..#.....#...#....##.##########.#....##.##.######..##.###..###...###.#.####.##.#.#.....##.###.###.#.##...#.#.....##.##
##....##.#.#.##...#####.#######.##.#.#####..#.##...##.#.##.....##.##.#.#####...#.######.#.#######..##..#..#.##.##....##.#.##.####...###.#..####.#.####..##..#######.##..#.###.#.#.##.###...#.###..##.#.#.#####.#####.#########.#.######..#.###.#######..##...#####..##...#...#.##..##....#.##.##..##..###..###.#########.###.###.###....#.####.#.#.###.####.###.........#...####..#.##.....#####....##.##..###.###..##...#.#.##.##..#######...#..#.#.....#.#######
#..####......##.#...........##...###.....##.#####.##..#..####.##..##.#...##..###.....#######.#####..#####.#.##.##.##.#..#..###....#...#.#.##....#......####.....#.#.#..######.#.#.#......#####.#.##..#.#...##.....#######............##.##.##...##.....#####.....#.########.##.##.####.#.#..#..##....#####..##......##.#...#.#.....#.######.##.#.#.#.#...##...####.######.###..##.#.##.##.##.#.#.##..#..##.......##..##.##.####.#######...###.#.##.##.#.##.......#
#.##....#.##..###.##.#.#.####..#.##..#.####....##..##.##..##...##.##.#.#..##..##.#.###...##........##.....#..#.##..###.###.######.#.###.#.###.#.##.##.###...##.##...##......#.######.#.#....##...##.##.#.#.##.###...#.##..#.##.###.####.##.###.#####.#..##...#.#####.....##.##..###....#.#######..#####..#.####.##.###...#.####.#.##......#.#..###...##.#######..#............#####..#######.....#####.#####.#.#######...#####..........#####.###...###..#.#.#.#.#
#####.#.#..#.##...##.###.#..#.##..##.#..##..#.###.##..##.####.##...#.#.#.##..##..#..##.#....#.#.##.#..#.#.#.##..#.###..##....##...#...#.#.#...####..#...###.##..##.##..#.#.######....####.######.##.##.#.#.##...#.#....##.#.##...#....###...##.##....##.####.#.....#.###.##.##.##...#.##.......##.....#.##.##....#...#.#.#..##..#..#.######.#.##...#..####.#.#..##.#########.###.###.###.#.#.###....##..##...#...#..##.#..##...###.########.#.###.#.##..##.#.#.###
#.....#.#.####..#..#.##..##...########.###.##.##..###.##...##.##.#.###.#..##.###.#.##..#.#.##.#.##.##.#.###.##.####...#####.####.##.#####.#.#..##..##.#..##.##.##..#..##.#...##.##.#..#.#...##...##..#.#.#..##.####.##.####.##.####.######.###..####.##...##.#.#####.#.############.#.##.#.#.####.#####.####..#.##.###.#.##..##.##.#...####.#####.###..#.#.#.#.#######..######.#..##...........#.#.####..#.#.#.#...###.##.##.#...#.####.#...#...#.#.###..#.#.#...#
#####.#.#....##.##.#.##.##..#....#.######..##..##.#...###.##..#..#...####..#...#.#..##.#.#..#.#..#########...#.#.###.##.......##.#...#.##.####..##..#.#.##..#...##.#.###.#.###.....##...###..###.##.####.##.#....##.##...##.#...######..##...#.##.....##.##..#..........##..#.#.....#.##.#.#....#.####.....##.#.##..##.#..#.##...###.#.........##..###...#.#.#....##.#.##...##.#.#########.#.#####.##.#.####.#.##.##....#.#..##.##........#.##.##.#.#...##.###.###
#.....###.#.###.#..####.##.##.##........##.###.#..#.#...#..##.##.#.#.###..###.####.##..###.####.##.........#.###..####..###.###..###....####...##..##.#..##.#.#..###.##..#.##..##.##..#...##..##..#.#.##..#.#.####...##.#####.#..#.#...##..#.#..###.#######.##.#.#.##.#..#.##.###.###..###.#.##.#......############..###.######.####.#.#.##.##.##.##...#.......####....#..#..#.#.........###.....#....#....#.#.##..###.#####.##..##.##.###############.###..##...#
##.##...#.###.####..##..##.#...##.#.#####....#.##.#.#.#.#####.##.#.#...#.##......#..##...###....#####.#.#.##..##.##.##.###....##.#...####..#.#..#.##..#.##..####.##...##.#..##.##..##.##.###.##..##....#.##.#...#########.....##.....##########.#.......#.#.##.#.#..#.##....#.###.##..##...#.####.#.##...#.#....#.####......##.....#############...###.#.##.##......##...###.....##.#.##.###.#.###############..##.##.....##..##..#.##...#.##.#....#.#...#.##..###
#..#..#.#.....##...##..##..##.##..#.....##.#.#..###.#.#..##...#..#.#.#.#..##.#.########.#######.#.....#.#.###........###...#######.#..####.####.#..##.#..####.....##.##..##.#..##.###.##.#.#.##.####.###..#.###........####.#..##.#####......##.###.#####...####.####..##.#.....#..##.###.##..##..#..###.....####....####.#.##.#.#.............##.###..#..#..#.#.#.###.#.#.####.#####.####.######....#.##.#.##.##...#.#.#..##.#..##.##.#......#.####.#.#.#.###.###
##.##.#.###.###..#..##.###..#####.##.##..###.####...###.####.###.#.#.#.#.##..#...##.....##......##.##.#####.#.##.#.###...#..##..#..#.##.##.##...#.######..##..#.#.##..##..#.#.##....###....#..####.....######...###.#.##.#..#.##...##...##.#..#.#.......##.##....#####.#..##.#######...##..#.####.#.##...#.###..#.####.##.#.##.#.###.############.#...##.##.##.###...#.#...####.....#...##.##.#...####....#.####..#.#.####.##.#.##...#.#.#.##........#.#.#...#...#
##.#..#.##..#.#.##.##...###.....###...######.###..#...#..##..#...#.#.#.#.###.#.###..###..####.#.##.#...##.....##.#..###.##.####...##.......###.#####.########.#.#..#.###.####.##.#.#####.#.##....###.#.....####..##.####.##.#.##.#....#..#.##.#.###.#####..##.##....#####.##....##...#.###.#....#.######.#.##..##..#...##.#..#.###....##.##.#.#.###.#..#.##.##...#.#####.#....#.#.###.#.........#......##......####.#....######.####.#.#.#.##.#.####.#.#.#.#.#.###
#..#.##.###...#..####.###...###...#.#..#.#.###...##.#.#####.##.#.#####.#.#...#...######.##....#.##.##.#####.###..##...#.##..#.###.#..###.###.#....#...#.##.####.##.###.#..##..#..#....##.#.##.####...#.###..##..##........#.#######.#.#.##.######.......##.##.#..##....##.##.##..###.#..##.#.#.##..##....#####.##.##.####.#.##...##.#.............###.##.##..##.##.##.#####.###.#.###.#.###.#.####.###..#.#.####.##.#.####.........###.###.####..#####.#.#.#.#...#
##.#..#..###.##.##......#.#..###.#####.....##..#.##.#...#.#.##.#..#.#..#.#.#.######.....##.#.##.##.##.##.....##.###.#.#.#..##.....##..##.....#.##...#.......##..##.....##.##.###.#.#.###.####....#.#.#...#.####..##.#.##.##...#.#...#.#.##...##...#.#####..##.##..##.######..###.##..#.#####.#.##.##..##..##.#.#........#####..###..#.#.#.#####.#.##...#..##.##..#........####..#...###...#.####.##########.###..####....#.##.##.#...#...#....##...###.#.###.#.###
####.#####...##.#..#.#.#####.#......##.###.###.#.##.#.#...####.##...##.###.#..###.##.##..#.#.##.##.##..##.##..#...###.###.###.#.#.#..##..#.#.#.#..#.#.#.#.#####.#..#.#.##..#..##.#.####...##..##.#.#.##.####.##.##..#..#.##.#.#...#.#.#..#.#..###.#.....##..#####.##.##..###...#####.#....##.#..#..##..##........####.#..#.##.#####.#.#.#.....#####..#.#####..##.#.##.#.####.######...##.##...#....#..##.##.#.##.#..##.###.#..##.##.##.#.##.#.##.#...#####...#.###
#......####.######.#.#.#.##..##.###.#..###...#.#..#.#.#.#..##...#.#.##.##..##.....##..##.########..##.##..#..###.##....#####..#.####.#####.#.####.#.#.#.#....##.#.##.#.###.#.#####....#.#####..#####..######.######.##.#.##.#.###.#####.##.#.###..##.######.#.....##.#..##...#...##..#.##.##.#.#####..####.#.##.##.#####....#.##....###.#.#.####..##.#.###.#.##..#..#.#..........##.#..#..#####.####.##...#........###...###.###.#..######..######.#....####.###.#
##.#.#.#.......##..#.#....#.##....####...#.#.####.#####.#.##..#####.##.##.##..#.#.##.######.......#######.##.#.#######.....##.#####...####.#....#.#.###.#.##.##.#.##.#...######....##.#...#.#.###.###....#.#.#.#.##..#.#..###.#...##.####..#...##..#.....##.##.#.##....####.##.#####.#..#..#.#....###..##..#..#........##########.#.#...#.#......###.#.....#..#.##.##.#.#.###.##.#..##.##..###..........#.##.#######.#########.#.##.....###.....##.#.#.##........#
#..#.#.#.#.##.####.#.#.#.##..##.#.#....#.###...##.....###.###....##.##.#####.##.#..#.#......####.###......#......##....#.####.#...###....#.##.###########..######.##.#.#.##.#.#.##..#.#.#.#........##.##.........##.#####...#.#.#.......##.#.#.#..##.########..#..###.#######...#.##.#.#####.#.##...##..##.##.###.########.#.#.#..#.###.####.#####...##.#.##.#######..#.#...#######..#..##.....#############.............#...#.###..#.#...##.#.#####.#..#.#.#.#.##
#.##.#.###.######..#.###.##.##..####.#.#...##.##..##.####..##.#.##...#.#.#.#.##.##.###.#.##.#......#.##.###.##.###..#.##....#.###.....#.##.##..........##.####.####..#.#......###..##.######.#.#.#..#####.#.###.###...##..###.###.#.############.###....##....##.###....##.##.#....#.#...#####.#..###..##..#...##...####.....#.######.....##...#.###.#######...#.####.#.#.###.....#.###..#.#.#.......###.#.#.#.#.###.#.#...###..###.###.#.##.#.##.###########.#..#
#.##.#.#....##.#..##.#...##..#.##....#.######..##.##....##..#.#..##.####......###...##.#.##.####.#####..##..##...##.#.##.#.#######.#.##.#####.#.###.#.##..........##.#.#.#.#.##...#######..#.#.####...#.###...###.##.####..####...#.........##...#...#.##..#.###.#.##.####.#####.###.##.##..#####..##.####.##.##..#......###........#.#.#.#..###.###.......#.#.....##.#.#...##.######.##.########.##.......###############.....##.....########......#.......###.##
#.##.#####.###...##..#####..##..###.##...###..##...#.#.##..#####..#.#.#..##.#...##.###.#..###........##.###.###.##..####.#.##...##.#..#.....#.#...###..##.#.##.##.#..#.###.#..###..#.##.##.###..#.#.###..##.#.....##.#..##..####.##.#.#####..##.####.#..####.#.....##.##.#....##..####..##.##.#.##.##...#####.###.##.##.###############.#.##.......##.####.###.#.#.#..#.#.#...........##.......##..##.#.#####.#.#...#.#####.##..###.####.##.##.#.#.##.#########..#
#.##.##.##.#.###.###.#.....####.#...##.#...##..#.#.###.##.####...####...#####.######.###########.#.#.##.#....##..##..##..#.####.#..#.###.#.##.#.#...##..#.#.##..####.###...####.##...........##...#.....#####.##.##....##..##..#.##.#.....#.##..#.##.#.##....###.####......#.####....##.....#.#.##..#.###.#...#.######.............#.##.#####.#.##.##....#..######.##.#.#.####.####.######.############...........#....#.##########.........##.######.........#.##
#.##.##.......##.#.#.##.##.##.#.##.###.######.####...#.#...##..#.#.####.#.........#..##...#......#########.#..##..#.####.###.#....##..##.#..#.###.#..##.#.#.##.###.....#.#...##....#.##.#.#.####.###.#.##.#...######.#..##..##....#.#.#####..##.#....#..##.#.##...##..##.###..##..#.##..#.#......####..##...#.......##.#.#.#.#.#.###..#..##...#..#..#.#.###...#.####..#.#..##.....#.....##.........#.####.##.###.##.#.##.#.#.###....####.##.#.........##.#.#.##..#
########.#.#.##..#...##.##..#.###..##.......#.##...###.##.####.#......#.##.##.###...#####.######....##.##..#.####.####.#..##...##.##.###.##.#...######..#.#..#.#.###.###.#.#####.#.#..#.#.#...##..##.#....###...#.####.##..##..#.##.#.....#.###.##.###.#######..#..#.##....##..#.##..##.#.#.#.##.#####..###.#.##.##..###.###.#.#...##...#####.#.###.###...#.#....##..##.#.##..#.###.#.#.##.#.#######.#.############.#..........###.#####..####.##.###..#########.#
#........#######.###.#..###.....##.###.###.##..#.#..####..##...##.#.#.###...#.##..#.##...........#.##.....##..#.#......##..###.#..#..#.#..#.#.#....##..##.##.#...##....#.#..##.#.#.#.##.#.#.#.##.#####.##.##..#......#.##.######.##.##.####...###...##..#.#....###.#..##.####.##..#.###.###.#..#.....######.#..#.###...#...#########..#....##.#..##..####.#.#.#.####..###..##.#...###.#..###.............#.###.##.###.##.########......##..##...#.##..###.#.#.####
#.#.####.##.#.##.#...##.#...########...##..##.##.##..##..##..#.##.#.#.##..#.#####.###..###.##.#.##..#####.##.##...#.##..#.##...##.####...##.#.#.####..##...#.#.###..#.##.##.##...#.#.######.#..###.....##..##.#.##.########.......#..#....######..#.#####...##.#...#####....#.#..##.#.....#.##.#.#.#..###...####.#...########.#.#########.######..##....#.#.###....##.##..##..#.#..#####...#.#.#.##.##.#............####........##.###..##..##.##.###.#..........#
#.#.##........##.###..###.#.....#.#..#.##.##..##.#######..####.####.###..##...##...###.#...#..#.###..##...##..##.##..##.######.##.#....#..#.#.#.##.##..##.####..##.##.##..####.###.#....######...#.###..##.##.#..#....##.##.#.#.#.##.##.#..##....##....##.#.#..#.#...#.###.#####.##.###.#####..#.#.#.##...#....###.#........#........#.##.....##.###.######...#.#.#######.#..#####..#####.##.#.####.##.#.#.##.########.##.#.######..##########.##..##...#.########
#.#####.#.#.#..#...########.#####...##.##..##..#...#.##..##......##.#...####.#####..##.##.#####.#...####.##..##..##.###..##.....#.#.#.##.##.###.....##.##....##..#.##.#..###.....#.##.#......#.######..##..##.#.##.##.##..###.###..#.##.#.####.#..##.####.#.####.#.#....##...##...#.##......##.#####..###.#.##...#.##.###.#...##.#####.###.##.##...#.##...##.##.#......##.##.....##...#.###..#....#..#.#.#.##..........##.#......##.......##.#.#####..###..#.....#
#..##...#.#.#.##.###.........#.####.#..##.####.#.#....##..###.#.#####.#..##...##...###.####.##..##.##.....##..#.###.##..####.#.##.###.##..###...##.##..#..####..####..##.##..#.#.###..##.#.######.#...####.##.#..####....##....##.####..#....###.##...#.#.###....#.######..#..##.##.#..##.###......######.###..#.###...##.###..#.........#..#.##.###....####.##.#.#.#.##...##.####..#....###.##.#.#.##.###.##.#.######.##.##.##.###.#.#.###....#...##...##...#.#.#
#.#######.######..########.#......####..#.##.###.##.#####..##.#...#####.###.#.#..#...#.#.......###..####.####.###.#..##..#.###.##..##..##...#.#..#####.##.#####....##.##..##.#.#..###.##.###......##.##....##.##..#.###.####.#.##...##.##.#.##....##.##.#.#...#.##......#.#####..##.#.###..##.#.##.##......###.#...##.##....#####.#.##.####.#.##...##.#....#.#..#.###..#.#.#....##.###.#...#.##.#.#############......#..#########.#######...##...#.##.####.#####.#
#..##........##..##.###....#.#.#.######.#.....##.##...#.##..###.#.#..#....#.###.##.#.#.####.##.##..##....#.....#..######.#......#.##..##..#.####.....#.#.....##.##..####.##..#.##..##.##.....###.#######.#.#...##....##....#.#..#.#..#..#.#.##.##.##..#.####.##.##.#.####.#.####.####...#.##..#..#.###.#.#...#.#.####..##.#...#.#####.....###.##.#..#.#.#.##.##.#.##..#######.###....####.##############...#..##.##.#####...##.#..########.####.##.#.....#...#####
##..####.#.#..##.##...##.#.#.#.#....##..##.##.#..#..#....#.####.####.#.#.##..##.#..########..###..##..#.##.#.#...#####.#####.#.##..##.###.#.##.##.####.##.#.#######.#....#..##.#####...##.##..##...###.#####.###..##..##.#.#.#.####.###.#.######...##....##..##..#.#...##...#.#.....##.##..##.#.##..##.#.#.########...##..#.#....#.########...#..####.###..###..#######.#.#.....#.#.###.#..##.##.##.##.#.#...######..##.##.###.#.##.#.#.####.##..####.##.#.#.....#
###.##...######..####....#####.##.###..##...####.#.###.#.#....####.....#.##.######..#.##....##...###.##.##.#.#.#.#.....##.#..#.#..###..##.#..#.#.....#.##.#...###.#.####.####......##.##..##.###.#......##.....##..#.##..#.#.#....#.#.######.#...###..#.####..##.#.#.#..##.##...#.#.##..####..#..##.##.#.#....#.#.###.##.##.##.#..........######.#########...##.....###...###.#.###.....##.#.............##.###.#.##.........................##.##....##.#.#.###.#
#...#..#....#.##..##..##....####....#.##..#.##...#..##.#.##.#.##...#.#.####.#.##.##....###.##..#...#.##.#..#.###...#.#.##...##.##.##..##..##...#.#.#####..#.#...#.###....#....#.#.##...##.##...#.#.#.#.####.##..#.######.###.#.#.##..........#.#.#...##.##...##..#.##############.#####..#########...###.##.#......####...#..#.#.#.########.##.......##.######..###.....#.#...#..###.#####...##.#.#.##.####........##.#.##.#.#.##################..##..#.###...###
########.##...##.######..#.##....#.##.##.#####.#.##.##.#.##.#.##.#.###.###.....#..##.#.#...##.###.##.####.##..##.###.#.####..#..####.####.##.#.#.#...##..####.#.....##.###.##.#####..#.##.##.###.#.#.#.#.#...##.#....##....#.#.#.##.#####.#.##.#.##.#######.##..##....#..###........####.#.#.#.####.###...#.##.###.#.###.##.##.#.#..........##.#.#.#..#....#.##..##.#.#####.#.##..##...#.################.######.#..###..###.#............#.##.######.##..##.#..##
#.........#.#.##.##.....####..#.##.##.##...##..###..##.#.####..###.###...##.#.##.##..#.#.#.#..#...##..##..##.###...#.#.#....##.##......##..#.###.#.#..##.#.#####.####....###......####.#..#....#.#.#.#...###.#..####..#.#.##.#.#.##....##.######.##.#.#..#...#.####.###.##.#####.##..##...........#.##..#.#.##...#....########.#.#.######.#..###.#.##...##....##.##.#...##..#.###.##.#.........#.#.#.###...##.#####..##.######.#######.####.........###..##..##..#
#.##.###.##.###...####.#####.#####..#.#..#..##...#.##..#...##.##...#...####.#.##..##.#.#.#######.###.####..###...#.#####.##.####..#.#.###.##...###.####.....##......#.#####..#######...####.####.#.#.###.###.##...###.###..###.###..########...###..#.##...#.#.#......#.##....##.##.####.##.#.#.###.###.###.#..#.##.#.....##...###......#.##..##.#.##.#######..#.##.##.##..##..##.##.##.####.#.........#.###......#.#####....#.......#......####.#.####.##..##..##
######....#.####.##.....##...##....##.##.#.##..###.#..##.#.##..###.###.###..#..##....#.#.#.........#....####...#.###......#....####.###....#.####.....##.######.#.#.#..##.##...#.##..#.#......##.#.###.....#.###.##.###...##.....##..........#..#####....#.#.#.#.##.#......##.#..##...##..###.#...#.#.#...####.####.###.###..#...#.#.####.#..#####.##..#.##.######...###..##..##..#..##....#.##.##.#.#.......#.#.####.####.#.#.#.#.#.##.###...#######.#######..###
###.###.#.#...##..##.##.##.#..###.#####..#.###...#.##.##.#..#.##....##...#######..##.###.#######.#####.##....###...#.###.#####.##.....##.######.###.#.#....##.#.#.#.#.###.##.#....##.######.#..########.#.##..##.##...###.##.#.#####.##.#.#.#####..##.##.#.########.############..##.####...#########...#.#..#....###.....####.#.#.#...#####.#..##..##...........#.#..###..##.###.#.##..####.##.##.####.########...#.......#.###.######...#.###.#.#.#.##.#####.#.#
#.......#.###.##.#####..##.#.##....#.###.#...##.#####.##.##.#..####.####......######.##..#...........#..###.##...###.#......##.##.#.#.#...........#.####.####...#.#.#.#......#########......##..#.##.######..##.....#...#..###...##..#..#.#.....##.....#.#...##.#..........#.##..##....##.####.#...###.#####...##..##.#.#...##.###.#.#..###..#.##..#####.######.#####...#.##....#.#..##..#####...#..##....#.#.##.#...#.#.#############..#.#.................##...#
######.##...#.#...##...##..#..###.##.#.#.#.#.##.#.##..##.##.#####.....##.###.##.......####.#.#.#.##.#####...####..######.#.###.#..#.#.###.##.#.#.####.......##.##########.#.#####.#..###.##..##.........##..####.#.####.#.##...###..#####.#.########.#.#.##.##....#.##.#.#...###..##.#.##........#..##.#.##..#..#####.#.##.##...####.#.##.##....##.####...#######...#.#.#####.###.#.####.....###.##..##.#......###.###.#.##.##.###.#.##.####.###.#.############.##
#..#.#.##.#.#####..###..##.#.##........###.#.##.#..##..#.##.#.....#.###....#.#######.##....###.#..#...##..#....##..##.####...#.##.#######.##.#.###..##.#.####.....##.#.##.#.........###..#..###.##.###########...#....#.######...##.#...###..##.##...#.#.#...##.#.#.#..#.#.###.##.#..#.#..##.#.#######....##.##.....###.##.#..#....#.###...#.#.##...##..#.....###.###.#.#.......#.#....##.######.#..##..##.#####...#####....##...#.#..#...##..####.#########.#...#
##......###..#.#..##...##..#..##.#.#.#.###.#.##...####.#########.##...##.#####........###.######.##.###..###.#####......##.###..####.##....#.#..##.##..#...##.#.####......##.###.####.##.##.#...##...........##.##.#.######....#..###.####..###..###.###.#.###..######.###......#.##.#.##..#.#..#.###..#.#####..#.#..####..#.###.###.....#.#.#..##.##..##.#.#.......###.###.#.######.###.......####.###..#.##.####.....#.##....#.....###.####..##............###.#
####.##..##.##...###.#..####.##..#.###...#.####.#.#.##..#.#......##.###...#..#####.##.##..#......##..######.....###.######..##.##.......#.##.##.....##.##.##..#....####.#.##.#........##.##.#.#.##.########.##...#####.##.#.#.###..#.....##.....##.....#.###...##......##..#.#.####..###..####.##.#.####.##.##.#####...##.##..##...####.##.###.##..###..#.###.#.##.####.##..#...##.....#.##.##....#.#...##.....####.#.######.#####.###.####.#######.##############
#.##..#.##...###.##..##.##....##.#...#.#.#..##..#...#####...###.##...##.#...########..#######.#.####..###.#.###.#........##.####..#####.#..#.##.#.#.##.#########.#.##...####.#.#.#.#####.#..#####.........###..#...##.....###...##...##.####.#.##..#.#.#.##..#..##.###..##.#####.###..###.#.##.........###.........#.#..#####..#.#...##.####....##..##.##..####.#####.###..##.######.#.###...#.#.##.#.#.##.#.###..######...#....##..#..........#.##..............#
#....######.####..##..#.###.#..###.#####.##.###.#.#.....##.####..##.###.#.###.....#####.#.....###.###.#.......#.#.##.########....####...##.######.#.##.......##..#..###.##...###.#.....#.##.#.....#.##.#.#####.#.#....###..##.###..#..#....###..####.#######.#.#####...##...#.#..#.####......##.#.#.##...#.#.#.########.....##.#.#.#.####.#####.##.##...####.##.#.##...###.#......##.#.####.##.#..#.#.#.#..#.....#####.##.####.####...###.#.####....####.####.##.#
#.##......#.#....####.#..##.##.###....##..###...#.##.#.###.##...##....###.####.##..#.#..##.##.....#.####.##.###.###.........######....###......##.#.##.#.#.#.###.##.##..####..##.##.##.#.##.##.##.#..#.#.....#.#.##.#..##.##..##..###.#.####...##.........##.###.##..#.##.#.....##...##.##.#..#.#.############...#....#.##.##..###.#.......#..####.##.#.......#......#.#.#.#.#.#.#####...##..####.###.#.##.##.##..#.#.......#####...#..############.###########..#
#..##.#####.##.#..##..#.##...###...#.####..##.#.#.##.#...######.###.###.....#####.##.##.#...##.#.##.#....##..##.###.#############..##..##.##.###..#.##.###.###...##.#..##.#..##..##..###.####..##.######.#.#.#.#.#####..#####..##...########.#.###.#.#.#.##..#......##.##.#.#.####.###..#..#.##.#...#.##.##....#...#.##..#####.###.#.##.####.####..##.#.###.####.##.##...#.#.#.#....##.####.###.#.#...#.##.#...##...#.##.####.#.#####.##.#.#....##.......#...#####
##.#..##########.####.###..#...##.########.######.##.######.#.#..##...##.####.#...........###..#.#....#.####..#.#...##.##..##...##..##..#..#...##.#.##...###...#.##.##.##...##..##..###.....##.#.....##..#.#####.....##...##..##..#....#...#.#..##.#.###.##.##.##.#.##.#..#.#........##.##.###..#.#......#####.##.##..#####......#.#.##.........####..#...#..##...#.########.#.###.##..###......###.#.#.##.##.###.#....#.........#.##........######.######.###.###
#..##......##....####...##.#.###......##.......##.##....##......##..#.#....##...#.###.#.#.#.##.#.####.#.#..##.#.###.......##..#.#..####.#.###.#####.#..#######.#.##.##.##.#.##.##..##...#.###..#.##.###.##...##..#.###..#########.#.#.##.###.##.##.#...#######..###.##.##.#.#.##.#.######....#.######.##..##...#...######.###.#.########.#.#.##....#.###.##.####.##.......####.##...##...#.##.#..##.#####...#.#...##.####.#.#.##....####.#.#####....####...###.#.#
##.##.###.####.#..##..#.####.#####.##.#..##.#.###..##.#..#.####.###.#.##.#..#.#.#.#...#.###....#.##...#...##..###...##.##....########...#...#.##....##......##.#..####..###.#..##.####.##..##.##.##...#.##.#####.#..#####.##.##...###......#.#..####.########..##....###..#.#..###..##....#.##....#######..##.##.#..#.#.#.##..#........#.#######.#.#.#....#....#.##.#.##.##.######.####.#######.###.##....#.#####..#....########.##..#.###.....##.#......###.#.#.#
#..##...####.###.##..####......########.##..#...#.##..##.#.#.....##.#.##.#.##.#.#.###.#.####.#.#..##.##.#.#########.##..###.##.##.....#.#.#.#.#####.##.#.#######.##....##...##.##.##...##.##..##..#.#.####.##.##.##...........#.#.###.#.#.#####.#........##.#.####.#...##.#.##..######.##.#######.......##.##.##.##........##.###.##.#.#.##.##.###.#.###.#####.###..###.........##....#.......####...##.#.###.....##.##.....##.#..##.....###.#.####.#.##.........#
####..####.#.#####..###...##.#.......##..##.###.#.##.##..####.#.###.#.##.#..#.#.#.#...###....#.#.#####..###.#........##..##.....####.##.#.#####.##...#.#.....##..##.#.###.#.#...#.##.#.##.###..##.###....#.....#.##.#.##.##.#.###...#.#.#..###..##.##.##....####.#.#.#.##.#..##...##.####......##.####.##...####..##.#.#.####...#.##.#.#.....#.#########.....######...#.#.#.#.####.#.######.#..##..#.##.#...####.##...#.#.#....##.##.#.#..######.##.#..###.#######
#####..........##..##.##.##..#.#.#######..#.##..#.##.######.#.#.#...#..###.#########.######.#######.#..##.....#.##.####.#####.#.##....###..#.#..##.###.###.#####..###...###.##.##.####.####...#######.####.#####.##.#..#..#.#.##..#.#.#.#.##.####..##.##.#####.#...#####..#.##..#....##...#.####...###########.##.##.#.#....##.#######.#.#.#...#...##....#.#......#.###.#.#.#....#.#......#.##..####.#..##.##.....##.##.####.####.#..#.##...#.##..#.##..##...#####
#.....#.###.######.....#.#####.#.##.##...#####.##.##..##......###.#.####...#.#.#.#.#.....##...##......#######.####..##......#####..##..##.##.#.##...##..##....###...#.#.##..#...#..##..#....#..##........#.....####.#.#########..####.###....#.##.###.#........#.#..#.###.#.##.##.#####.#.#....###......###.#......#######.##......##..#.####.##.#######.###.######...#.#.#.#.####.###.########...##.#.##..##.##.#########.####.####.#..###......########..#.....#
#.###.#..##...#..##.##.#..##...#.....###...##..##.##.##..##.#.#...#...##.###.....#...#.#.#..#######.#.##......##...##..##.####.#########........##.###.##..####...#####.###.#.#.##..##.#.#.###..#.#.#.##.#.#.####.#.#....###.###...##.#...##...##.##..##.#.#.#.#.##....##.#.##.#......#.####.#...##.#.###...#.#.#.###.#.######.#####..##.##.#......#.##...##.##.###########.#....#..##.###.##.######.#..##..####...................####...#.######.##...#.##.#.###
#.##..#.##..#...##..##.##.##.#.#.##.######..##.##.##.##.##..#.##.##.###..#######...#.#.#.##.##.##...#.###.#.#.###.####.##........##......#.##.#..###.#..##...##.#.##.#..#...#.#.##.##..#.#.##..##.#.#.####.#......####.#..#...##.####.###..##.##...##.##.#####.#.##.#.#####.##.##.#.#.#..#.###.#..#.#..#..#.#####.........#.#......####.....###.#.##.#..#..#.........######.##.#.##.##.............###.##..##....##.#.####.#.########.###.#######.....###.#..#...#
#####.####.##.#..##..#..#.######..#.....##.#####...####..##.#.#..##..#####.######.####.####.....##.##..##.#####...#.##..#.#.######..#.#.##.##.##.....#.####.###.#....##.##.##.#.######.#.#.#..##..#.#..######.#.#####..##...#.##..##...##.###.###.###.##..#.####.##.#..#.#...######.####....##.#.##.##...##.##....#.##.##...##.#.##############.#.#....###.#.####.##..#.#.###..#######.#.#.##.####...#.##.#####.#####....###.###.##.....#####.....###..####.##.###
#........#.#####.##.#######.##...###.#.#####.....#..##..##..####.##.##..##.#.......###.###..##.##...##.#..#.....#...#######......##.#.###..##..#.#.###..#.#...###.#.##..#..##.#.....##.#.###.####.#.##.....##.#.#.#.#.####.##########.##..##...##...#..##...#.##..####.#...####........#.#.##..#.##.#######.#####.#..#.##.###..#.......###.##.######.#.##..#...##.###.....####.......#.#.####....#.###.##..##....##...########.#..#.###..##.#.###...##..#####....#
###.##.###.....#.##....#.#.....#..####....####.#.##..##.##.####...#..##....######.##.###...########.#..##.#.#.#.##.##.#####.#.#.##..#..###..#.##.###...##...#..####..#.###..####.#######.#....#.#.#####.#.###.#.....#.#......##.#.#.#..##.##.#####.##.##..###.##.####..###.##...#.#.####.#.#####.##....##.#.#.##..######....####.#.###.............#.###..##.####..###.#.##..#####.###.#....######..##.##.#####.##..#.#....###.#.##.#.##.#.....##.#.#..##.####.#.#
#...##...##.#.##.##.####.####.##.##.#..##..#.###..####...####...#.#.##..##............##.#...##...#.##.##.###.#.##......#.########.##.##...##.##...###.##.#.##...##.##...##..##........####.#...###..#..#.#.####.#.##.#.##.#..#.....#.##...#.....#..#####.....##.##.##...########.#....#.#..####.#..##....#.#..##.....###.#...##.#..###.#.##.##########..##.....#.##...#..#.#####....#.##.#.....##.###.#..##.....##.#...####.#.........#.###.############....#.#.#
##.##..############...##......#.....##..##.....##..##..#....###.#.####.###.#.##.##.####..#.#....#####..#..#...#.###.#.#....#.#...#.#..##.#..#.##.#...#.#..#..###..#..###.###..##.#####.##...###...##...##....##..######.##.##...#.#######.##.#.###.######.#.###......##.####.##...#.#######....###.##..#.####.###.#####.########.##...###.##....#.#.#.#.#####.###..#.#.##.......########..#####..####..#.##..##.#####.####.....#.##.######....#.##.##.##..#.######
#...##............###..###.#.###.####..##..#.#..#.####.#.#.####.#....#.#...####..###....#####.####.##########.#..##.#.#.##.....###.####..##.######.#.####.#.####.##.###..#...##...######..###...#####.##########...#.#####..##.##..#....######..##....##..#...##.#.####.##......#.#..##.#.###.######..##.#.#...................#.##.#..##..##.#.......#.#.....###.#######.##.########.###.....#.###.####..##..#.#..........#.######.###.#####....#.#.....####....#
##.###.######.#.#...##..##.#.##...########.#.#.##...##.#.#.#....#.#.##.#.#.##...##...##...#.#.......##........##..#.###.##.###...####...###......#####....#....###..##..###.####.##....##.##..#..##......###...###...#.##..##...##...#.##......####.#.###.#.#..#.#..##..#..#.#.##.##....#.######.###.###.#...#.#.#.##########.##..######..##..#.###########.#...####..#...#####.#.......#######..#...########.####.#.#.##.##..#.#.###.#..##.#.####...#####....####
##.##....########.#..##.##.#.#..#.......##.########.##.#.#.###.##.#.#..###..###..###.##.#.#...#.###########.#.##.##.###.#....#.#####..#...#.#.##....##.##.#.##...##..##.#.....##....####...##.#.#####.##.....#...###....##.###.###.#.###..##.#.##...#..##.#.#######..##.#.####.##.##.##............#.##..#.#.#.#.#.........######..#.####.###.####.###.#..####.###.##...#.#.#.#...###.#.......##...#.......#####.#.#.#..#####.#.......#.###........#...##..#######
#..##.##.....#.#####.##.####.##.#.#.#.#.##.##.#...#.#..#.#.#...##.#.##.#...##...###...#.#.##.##.....##......#.#..##.#...#.#.##.....##.#.###.#..##.###..##.#.##.#..#.###.###.###..##...###.##..#..##....#.##.##.#.########...##...#.#####.##..#..######.##.#.......#.##..#.#.....###..#..#.#.#.#.#.######.#.#.#.#.#.#.###.#......####...##..##.##.........##....##...#.#.#.......#...####.##.###..####.######.#.....####....####.#.###.......####.########.####...#
#.##..##.#.#.....##...#..##...###.#######.......###.####.#.##.###.#.##.###.####.##..#.#.#.##.###.##.#..#.##.#.#.#####.#.#.#..##.#######..####.########.##.#.#..##.#...#.#...#...###.#.#.#####.##.##.#.####...#.#........##.####.##.....#..#####....##..#..#.#.##.####..#####.#.###..##.##.#.#.#.#...#.##.#.#####.#.#...#############.#####..#.#..#.#.#.#..##.#..##.####.##.###.##.#...##..#..##.###.#...##.....###...###.#.#.#..#...#.#.###...#####.###........#.#
#..#####.#.##.#####.#.##.##.#.#.......####.#.##..##..###.#######..#.##.#....##..##.##.#.#.#....######.##.##.#.#..##...###.#.##........##....#.......##..#####.##..#.#.#.#.#.#.#.##..#....##....######..####.##.##.####.##..#.####..##.#####.....#.###.#####.#..#....##...##..#...##.#...###.###.#.###.####...##..#.#.#..#.###.#......#...#.##...##.###.##..#.##.......###...########.###.##.##......#.#..###.#.####.##...#.....####.#.#...#.#...##......#.#.######
#.##.....###......#.#.##.#######.#.#.##....#####.##.##...#...##..#######.#.####.##.#..#.#####.###.....##..###.#.##..#...#.######.#########.##.#.######.###.#...##.#.#.#.#.#.#####..###.###..##.....###....#..####...##..##......##..#.....###.#.###.###.....##.#.######.####.##.##..#.#.###.#####.......##.#..##.#.####.....#.#.####...###..#.###....#..##.#.####.#####...#....#.##....####..####.#.######...#....#####.###.#.##.####.##.##.#.#....#.#.##.#####.##
#..###.#...###.#.#######...##....#.#..##.#.....#..#.#..#####....##.#.....#.#..#.##.##.####......#.###.##.##...#..##.#.###.....##...##.##....#.#....#.###.....#.##.###.#####.##.###..##...####..#.###.#.#.###..##..#..##..##.###.##.######..####.......#.#.#..#.#..###...##...#...##.#.#...#.....##.#.#####.##.##.#.##.##.##......###.#...##.#...##.###.###.#..##..#####.#.##.###..#######.####.#######...#.#.##.####......#.#......####..##.#.#.######..#........#
#.###..#.###.###...##....#.###.#.#.####..##.#.########..##.###.##....#.#.#...####..##..##..##.#.#.#...##..###.#.##..#..##.#.#.##.#.....###.##.#.##.....####.##.##.###.#..##.#......##..#...##.#####....#.#.######.##.##.###..####.......##...##.###.###.###.##.##...########.#.#.####.##.##.#.#.##.#.....#.#...###.....#.###.#.#...#.#.#######.#######...#.#.####.....#.#.##.....#####.#...#.#.#.....#.#.#.#.##.##...#.#.##.##.#####.###.##.#.#......#.####.##.#.#
#.#...##.......#.#..##.#.#.#...#.#....##.##.#.....##...##.......##.#.#.#.#.#..##..##..####.##.#.#.#.#.##.##...#..##.#.##..#.#.##.##.#.##....#.#.##.#.#..##...#..#.#...##....#.#.#.##..###.##......##.#.#.....##....#.##...##....#.#.#.#.##.#.##..##...#.#...##.##.#....##....#.#.#....#...#.#.#.##.#.#.#.#.##.##...#.#.#...#.#.##.##.#.......#.......#.#.#.#.##...#.#.#.#.##.#.#.........#.......#.#...#.#.#.##.##.#.#.#..#.#.........##.##.#.##.##.##....#..#.#.#
################################################################################################################################################################################################################################################################################################################################################################################################################################################################E#

#S##################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################
#.##.##..#..##.##...##.#.........#.##.#.##.....##.#.##.#.##.##.#.##...##....##...#.......#.....#.#.##...#....##.....##..####.##.##.......#....##.#..#.#.#.#.....##....##......##..##.......##..##.#.#.......##.#..##.#.##.#.##..#.##..#.##.....#..##......##...##.##.#.##..#.#..##..##.#.##..##.##......#.##....#.##.##.#..#.#..##.##....#...#.##.#..#.##.#.#.##.##..#.#...#.#.#.#.#.##....#.#.#..#..##.#..#...#....##..#.#.#.#.#.#..##.....##..##....#..##.##.#.#.#....#.##.#....#.......##..#.##.##..##.#.#.#....#
#....#..##.##..#..#.#..####.###.##.#.....#####.##.#.#....##.......##.##..##..###.#######.#.#####.#..###.####..#####..##..##.....###.####.#.####..##.#...#.###.#######.#..####.###.########.##.###.....#.#.####...##.....#....##....##.#..##.##.##.##.#########..#.#..#..##...#.####.##.#.#..###..###.##.#..###.##.#.....##.#.##..#..####.#.###.##...##.##.....##..##.#...###.#.#.#.#..####.....##...##..#.##.###.######.....#...#.##..#.#.#####..####...##.......#.###.##.#....####.#####.##.##..#..##.##.#.#.#.####
####.#.###.###...#####.##.#.#........##.##.....##...####..#######.....##.##.##.#.....##.......##.#.##.#.#.##.##.#...##..##..###.#.####......##..###.###.#.##...#.#......##..###.#..##.##...##...#########..#.###..####.##.####..#.##....#####..##.....#..#.#.##.#.##...##..###..##...#.#.#.##.##.#.#.#....##...#..#####.##.#.###...##..#....##.##.###...##.####..##..##.###........##.##...########.###.#.#..........##.###.#.###.###.###...##..##..##.#########...#.#.##.##.#..##......####.##.##.##...#.#.#......#
#....#..#...####.#.#......#########.##...#####.####.#.#..####..######..####.#..#####.#####.####....##...#.#...#.###....##..##.....##.######.###.##..#...#..##.##.#####.####.##..##..#.#..#.##.###....####.##.#.#.##.#...#.##.#.########.##..##.#..#####.##........#..#..##.#.#.#####.....#..#.##.#.####.###..#.#.##..#..#.....##.#####.##.####.#....##.##.....##..##..#.#.#.###.####..####.#...#.##.....#.#.##############..#.#.#..##.##..###..###.##...##..#..###.#.#.##.#####..##.######...##..#..##.##.#.#.##.###
####.##.#.#..##....######..#.#.##.#####.##.##...#.#.#.##.##.##..##.#..####..#.##...#...#.#.#.###.####.#.....#....###.##########.###.......#.#.#..##.###.#.##.....##......#..###..##.#.####.##...####..#...##.#.#......###.##.....#.##.#..#.##....##...#..########...#####.......##.#####.##......#..##..###.####..##.##.#.#####.....##.....##....#.##..#..######.####.#......####..##...#..#.###..#.###.#.........##..##.##.....#.##..###...#.##.#..##.##..##.##.#.#...##.#.##..###...#..#.#..##.#.##..##.#.#..#.#.#
#.#..##.####.###.####.#...##.#.##.##....##..###.....#.##.##.###....##..#.##.#.####.###.....#...#..#.#####.#.####.......##.#.#.#..########.#.#.##.##.#.....###.####..#.#.##.##.##..#.#.#.......###..##.###..#.#.######.##..###.####.#..##.#.#..#######.#.##.#.##.###.#.##..#.#.###..###......#.##.#.##..##....###.##..#..#....##.########.####.#######.##.####....#.##.#.####...##.#####.##...##..######.#.##.#.##..##.#.....#####.###...###.#.##...###.#..###.##.#.#.###..#.##.##...#...##.##..#....##.##.#.#.####.#
#.##.....#.#..#...##..###.#..#.##..###.##..######.#...#..##..####.###.##.#..#..#.#.#.#####.#.###.##.##.#######...#.#.###..#.#...##.#.#............#.####.##.....#######.##.#...##.....#######.#.##.##...##.......###..###..#..###....##..#.##..##.##....##.#.#..#......##.#####.##.....##.###.##.#.#..###.####....##.##.#.#####.#.##..#..#.#....#.##...#.##.####.#....#....#####..#.###..#.###..##.#.......###.#####..#####....##.#.#.#.....#..#.#.#.....##...#..#.#.####......###.######..##.##.####..##.#.....##.#
#....#.#...##.##.###.##...##....##.#.#....###..######.##.###.#....##..##.##...##.........#.....#.#...#.#.#.#.#######.#.##.#.###........##.#.###.###.#.#..####.###.##.#.....#.###..#####.#.......##.####.######.###...##...##.##.##.#####....##.....###.##..#.##.##.#####...#.##..###.###...####....##.##...#.####..#.#..#...##..#.###.##.#.#.####.##.###.#...##..####...######...##.#.##...####.##.####.##...#.#.#.##.#.##..####..#.####.##.#.##.#####.######.##.......####.##.#.#......#####.#....###....##.####..#
#.########.....#..#..##.#######.#..#.####...##.#.#........##.####.###.##....######.#####.###.###...#.#.#.#...##.#.#..#.##...#.########.#..#.##...##.....##.#....#.#..#####.....#.##..##.######.##...#...#.#.#..#.###..##.##...#.##..##.####..#.#####.#..##.#.#..#...#.####......##.###...#..####.#.....##.##.#.#..##.##...#####....##......................#####..##..#...##.##.##..#..###...#..##....#.########.#.##.#.##.##..##...##.###........#.#..#.##...#####.##.#..####...#.######.#.....####...#####.#.##.##
#.######...###.##.##.....##...#.#.##......####.#.########.##.##.#......###.##....####.#......##..#####.#.###.#....##.#..##.##..##...####.##..###..#####.#..##.###.##.##....##.##..##.##.##.##...###.###.....##.#..##.##..#..#.#.##.##.....##.#...#.#.##......##.##.##..#.#.######...#######.#....##.##.##....#.##.##.#..#.##..###.#######.########.#.##.####..##.###.###.###..#..##.#.##.#.###.######...#.##.##....##.#.#.....#####.##.##..#.######.##....#.#..##....####.##.#.###...#.#..##.##.##.###..##...#.##..#
###..#.##.###.....######.####...#.#######..##..#.##.......##.##.#.###.##.#..##.####.#.######.###.###.......#.##.###..#.##...##..###.#..###..##.#.####...##..#..##.#...######...##.#..##.....##.####.#.#####.#..#.##...##.#.####.#...####.##..#.###...######.##......##.#.#......#.#..##.########.#..##.#..##.#.#...#.#.####..##.#.##..#.#......##########.#..##........#...##.##.#....##.#.....##.#.###.#..#.####.##..#.#.#.#..##...##.#####.....##.##.#######..##.#..##.......#.#.###.##.##.#####..##.#####......##
####.#.####.#####.....##..#####.#...######.###.#..#######.#..##.###.#.##.#.##...##..#..###...#.#...###.###.#.#..#.##....###....##.....#####.#....#..###....##.##..##.##..#####.##.#.#######....##.#.#.#.#.#.##...####.##.#...##...###..#..##.#...###.#.###...##.###........#########.##..#.#.########....###.#.#.###...#.###.##.#..##.#...####.#...##..#....##..############...#.###.###...#.####.#.#...#.##..##...##.#...####..###..#..##...#.####.#....#.##..######..######.##.....#.##..#..##.#.##....##..#.#.###
#.......##.....######.##.##.......###........#...##.#.#.#.#.###.##.....#.#.###.####...##.#.#...#.###.####..#.##.#....####...#.#####.###..#######.#.######.##...##.#..##.##......#.....##....##.#....#.#.#...####.#.#...#...######...##...###.#.###...#...##.#########.##.#....##.##..###...#...##..###.####........###....##.##.##..#.###..#.###.#####...######.##.##...##.###.#.#.#.#...#.####.#.#.###......####.##..#.####.####.##...#####.####.#.##.###..##....#.##.#.#.##.##.##.##..##...##.....##.#####.#######
#.#.#.#.######......#.....#######..##.##.#.#...####.#.#.#.#......#####.#.....#.#..##.##..#.###....#..##.##...##.####..#.#####.#.#...#.##.#.#.##....##.##...###.##...###..######...#.#######.#..##.###.#...#..###.#.#.###.###.#.#..####.####..#.#.###.#.####.##.#......#########..##.##...#.###.#..##.#.#....##.#.###.#.####..##.###....##.##..##.#.##..####..##.....##.##...#..#.#.#.#.######.#.#.#.#.#.#.#####.#.###.#.#....##...#..###.#.#..#.#.#.##.#.##.##.####.##.#.#.#......####.##..#..#####.#....#.#..#.#.##
#######..##.#######...#.#.#.#.....############..#.#.#.#.#.###.##.........##.##.#.##...##.#####.#.##.##...###.##.#..#.##..#.#....##.##.##........##.##.#..###...###.##.#.####..###.####..#.#.##....#.#.#####.##.#.#...##..###...#.###...#..##.#....##.#.#.#..##.##.###...#..##.#.###.######.###.##......##.######.#.#...##...##...#..####.....###...##.##..##.#..#####...###.##...#.#.#.#.##.#.#...#...###..###......#.....#.#####...###....#.##.#.#.#..#.#...#.#.##.#....#...##.#..##...##.######.....####.#.##.#..#
###...##..#.#.#.#.###.###.#.#####.#.##.##..####.#.....#.#.#.############.#..##....##.##...##.#.###...###.#.#.#..##...#..##.###.##..##..####.#.#.#.....##.#####..##.##......##......#.##.#.#######.#......##.##.#.##.###.##.#.###.#.###...##..#.####..#...##.#...###...###.##....##...##.#.........#.##..#####.##.#.##.###.######.#.##.#..######..###...##.##...##.#.###..#...###.#.#......#.#.#.###.######...#.#.##...#.######....###.####.#..#.#.#.##...##.##.#.##...##.#.###########.##....#..##.##.##.#........##
#.##.####.#.......#.#.#...#.#.#...#.##..#.##....#####.#.#....#.#####.######..##.####..##.##..#...###..##.#.#.#.#####.#.###.#....##.##.##..###########.##...##..##...####.#########.#....#.##.##...####.###..##.#.#.......#....##...##..###..##..#.##...###....#.#####......####..###..#.######.#.##.#######........##.#.#..#.#.#....#...##..#.##...##.###..#.####...####.#.###.......######......##..##.#..#########.##.###..####.#.#.##.#.#.##.....##.###...#.#.####.#....###.##..##..##.####.##..####..###.#######
#.....#...#######.#.#####.#.#.###.#..##....####.###.....####.#.#.....#.#####.....##..##...##...###...##........#.#...#..#..###.##..##.##.###.#.##........#####..##.##.##.#...##....###.##.#...###.###..#.##.##...##.##.#.#.#######..##...##..##.#.#..###.#.######.##..##.###.###...##.#..##..########.#...######.####.....##.#.###.##.#####....##.##..##..##..#.#.###.#.....#####.##.....##.#######.##....##.##.#.##.####.##.##...#.#.##........#.#.##...##.##....########.#.#..##.###.##.#.##..##...##.##.#.#.##.##
#####.###.#.#........##...#.....#.#.#####.##......####.##.#..#.###.#.#.#.#.####.##..#####.###.##.###..########.#.###...##.##....##.#..##.#......######.#..##.##.##.##.#....######.##....#.##.####.#.##.#....####..#..#####..##..##.#####.##.##......###..#.#..##..###..###.#..##.###....####.##.#.....#.#.........##..######.#.##.....#..#..#####..##..##.#..##.....#.##.####...#.###.####...#.#..#.#..##.....#.#.#...##...#.####.#.#.###.##.##########.##...#.####.##.#.....#.##...#..#..#..##.#..###..##.........#
#.........#.#####.##.####.###.#.....#.#.#..####.###.##.##.##.#...###.#.#....##...##..#.##.#.#.##.#.##..##..##....#.###.##.#####..#.#.##..######...###..##..#.##.##.##.##.####.#.#..###.##.........#....####.#.#..##.######.##..##..##.#..#..##.######.##.#.##.##.##...###..#.##....##.###.#...#.#####.###########.###..#.##..#.#..#####.##.##.#.#.####....#.###.#####.#...##..#####...#.#..###...##.##..#.#####.#.###..#.###..##..#....#####.#.#.#.#.##..##.##.#.##.#..###.###..###.##.#.##.##....##.##.######.#####
#####.###.#.##....#.......#.#######.#...##.#.#...##..#.##.#..#.###.....##.#..##.##..##....#.#..#.#.#..####.#####.#.##..#...#.###...#.###..##....###.######.#.#..##.#..#...#.#...#.##.#..##.######.####.#.##...#.###....#.#.###.###..#.##.##.......###.#....##.##.####...##...##.####..##....###.#..##..##.#.###....##.##..##.#...####.#...........##...####.##...#....##.####...#####.#.#.##.#.###.....####.##..#.##..##..##.####.##.###.#.........#.#..##.......##.##.##..#.#.##.#.##.#.##..####.#..##..#.#.#...###
##.####.#....#######.####.#..#.#......#..#.#.###.###.#.##.#.##...####.######.##.##.######.#...##.#.##.#.#...###.....##.##.##..####.#...#.######..##.#.#....#...###.##.#.###.#.#.#.##.#.#######.##.........###.#.#.#.####.#.#.#.#.##.#.#...###.#####.....#####.##..##..#####.##..#..##.###.#.#...##.#..##......####.......##....#........###.#.###..###.##.#.###.##.##.##..#.###.#.##.......#.#.#####.#...##.###.#..##..##.##..##..##...#.#####.#####.##.#..#.#.###.....#..##...##.#..#.#....##..#.#.##..##.#.#.###.#
#..#.#....##.#..##.#.#....#.##.#########.#.#.###..##.#.#.......###.#....##.......#.##.##..#.###.....#.#.###.#.##.##.##.##.##.##.#....#....#.#.#.###.#.####.##.##.#.##.#.###.#.#...#.....#.#.......###.###.............##.#...#.#.#....##.##.......#.###..##......##..##.#.#.##.##.##...#..#.###......########......#####....##.#.#.##.###############..#..#.#.#..#..#..##...##..#..###.###.......#.###.###..#.#.##....##..##.####.##.###..##.#.#.#.#.##.#.######.#####.##....###..##.....######.#....#.##..#.#..#..#
##...##.###..##..#.######...##.#.#.#.#.#.....#...##......#.#####.#.###.#########.#.....##...#.#####.........#.#####.##..#.##.##.####.###.##.#.#.#.#.#.##.......#.#..#.#.#.#.#.###...##.##.###.#.#.#######.####.##.#.###..##.##...#.####...##.########...########..##..#.#...##.#...##.##.########.##..##......########.#.###########..###...##....#.##.#.##...#.##.###..##.####...##.#.#.#.#.##.##..#...##.##.#..####..##.#..#.#..#..##..##..#.#.#...#.....##.#..#.#......####.##..##.####.#.##.###.##.###.....##.##
#..#########.###....##..#.#..........#.#####.##.####.###.#...##..#.#....###.#.#....########....#####.######.#.#.#....##.#.....#.#..###..........#.#....#######...##.#.......######.##..#...##.#.#.#..#..####....###.#.##.##.####.#.#.####.#..##.##.####..#.#.#.##.##.##.#.###..#.###..#..#.##...#####..#####.##..###..........#########.#.###..####.#..#.#..###.##.#.####...##..#.##.###...#..#####...####.##.#.##..##.##.#.##.#.##.####.###.....#.###.#####..##...##.###.#.##.##.##...##..#.#..##..##..###.##.....#
#.#######.#....###.####...###.#.####............#.##.##..###..##...####..#....####..#.##..##.###...####.##....#.###.##..#.#.#.#.##...####.##.##...####.##.##...####.###.###..##..#####.#.###########.##.##.####..####.#..##...##.#.#..#.#.##.#.......###.......##.##....#.#.#.##.#.##...##..###.#..##.##..######.#.#####.####..#.#..##..#...##.##.#.##.#.#.##.........##..#..#.#####...###.##..##.##.###.#.##...##.###.#..#.#.........##..#####.##.#.....##..##..#..####.....#.#...##.####...#.##..####.#.#.###.####
#..#.##...###.###..#..######..#.#....######.###....#.#..#####..##.##.###.####.##...##.##.##....##.##.....####.#.###..#.######...##.###.#########.##.....#..###..##..#####...####.##....#.##..#.#.#..........#...##.##...##..####.....##...#..#.#######.##.####.#..#..####...#.##...##.###..##.#.##.#..###.#.#.##.#.##.#....#####.#.###.##.#.#.....#.##.#....#.##.###########....##.#.#########....##.#.#.#..##.###.##..##.#...#.#.##.###.##.#.#......#.#.##.####.##..#.##.####.##.##...#.###.#..##.#.##.#.....#.##.#
#.##..###.#.#.#.##.#.##.###..#######..###.#######.#####.#...#.###.##......#.#.####.##.#...#.#####..#####.###..#.#...##..##.###.###.##....#.##.....#####...###..####...##..#.##...#####.#.#..##.#.##########.###..#.##.#.###.#.#..#.#..###.#.##.#..#.#..#####...##.##....###......####.#.#.##..#.##.##.#.#.#...#.......#.####.#.#...##..##.######.##..#.#.#.#####.....#.#.#.##.#..#.#.#.#..#.###.###..#.....##..##...##..#.#.#######..#...##.#...#.##.#.###...#.#####....#..#.#.##..##.##.##....###.#..#.#.########.#
#..##.##..#.....##..........##.#.#.####....#..#...#.##..###........######.#....##..##.###.#.#.#.#.##.##....##...##.####..#.#....#...####.#.##.###..#.#..####..##..##.######..##.##.#.#.#.#.##.....#.#.#.......##.#..#.###.....##.######.#...##.#.##...##.#.##.###.##.#####..####..##....#.###...##.#..#.#.###.#######.#..#.......#####.....##.##.##.##.#.#####.#.##.##...#.##.####.#...##.#.#.#...##...#######....#####.#.........##.#.#.#..##.############.##.########...##.#.#..##..##..##.###.....##.#......##..#
##.#..###.##.##....#.####.#.##......#.#.##.##.###.#.#####.#.######.#.##.....##..#.###.#...#.#.#.#.##.#..##.####....#..##.#.##.#...###......####.##.#.#.###.##..##.#....###..##..##.#.#......#####.....#####.#....#.##..#####.##...#.#.#.#.#.......#.####........#.##.##.#..##########.###.#.###....#.##....##...........##.#######.#.#.#####.....##.##.#..#.#..#..####.#.......###...####.#.#.#.######.......####...##..#.######.#######.##....#.##.#.##.##.#....##.#.###.##.#...###.##..##....##.####....#######.##
#....##.#.##..##.#.#...##.#########.#.###...#.##.....###..###...........##.##..##..#..###.#.......##...##.......##.#.##..#.#####.#########.#.#.......#.##..##.##..#.####.##..#.##..#.###.####.....###.##....#.##......##..#...##.##...#.###.#######....##.###.#.........##.....###.#...##.#.######....####.########.#.#....#.###.#.#.......#####.##.#....##.##.##..#.#########...###..##....#.#.#.##.#.########...#####.#...#..####.#.#...####.#.#.....#......#####.#.#.#.##...###....##....#####..######.#...##...#
###.##.....##.#..####.#######...##..#.#####....#.#####.#.##########.#.#.######..##.#.##...####.#.####.####.##.###..#.#..##.#.#.#....##...#...#######....#.##..##.##..#.#..##....##.#.#...#..###.#.#....##########.#.#####.##.##...###....##...##.##.####..##..##.#.###.##..#####.#...#..#...#.#####.###.##..##.#..#####.####...#.#...####.##.....##...####..#..##.##.##..##..#.######.###.#.#.#...##.....###..###...#.#...#...####....###.#.##.#.#.#####.######.##.........###...##.#..####...#.##.#.##.....#.#..#.#
#....#####.########.###.#.....#..##.....######.#...##..#..#.#..##########.##.#.##..#..###.##...####.###.##########.#.##..#.#.#.#.#######.###.##.#.###.#....##.##....##.##.###.#..#.#.###...###########.#####.#.#..#.###....#..###...####.##.####..#.##.#############....##..#.##.#.###.##.###.........#....##....###.##.#.##.###.##.##.#########.####..####.#.##......##..##.#.#.#.#..#.###.#.##.##..#####.##.....###...#.#.#.##.####..##.#.#..#.#........#..##.########.#####.######.##.##.###.#.....###.#####.####
####.##....#.##.##......####.###..#.#####......#.#####...##.##.....#.##...........##.##....###..#.#.#...#.#.##.......##.##.#.#...#.#.#.....#.##.#.#.####.#.......#####.##...####.#.#.#.#.###...##..###.....#.#...##...####...##...####...##..#.#.##..#.#.#####.#######.###.##........#.##...##.######.####.#####.....#....##...#.#.......#.##..#...##.##.##...###.######.##....#.#.##...##.......##.##.#.#..#####..###.####.###..###..##....##.....########.##...##.##.#.###....##.#..##......#.##.####....#.##.####
#.#...#.##...##.####.#####.######.#...#.#.####.....#.###....######....####.#.#.##.#..####.##...##...###...#....#####.......#.###.#.#.##.##.#.#..#.#.###..#.###.####.#...#.#####....#.#.#.#.#.#####...#####...##.#####..###.######..##..#....##....##.#.#..##.#.#.#.......#.#..#.#.#.####..###..##...#.#..#..##.###.#...#####.###...#######..##.##.##......###..##.#.#..#..###.##.#.####..#######.##.##...##..##.#.##.#..#######.##...#####.##..#.####..###...##.##...#.....###.###.##.####.####.##.#..##.###.##..#.#
#.#.#.###..#...........##..##.#.....#.#.####...##.##.#.#.####.#..###.##..#######....##....####....#####.#...#########.#.##.#.##....#.#####...##...#.#.######...###..##.##..##.###.##...#.#.#.#.##..#.##.####..####....##.....##.#.##..#####.##.#####.....##....#.#####.#.#.#.########.###.######..#...##.##.##.#######.#.##..#.##.##.##.###.##.##..##.#####...##....#.##.##.#.......##..##.......##.##.###..##..#.##.#.##.###.#..###.#.#.#.##.##.##...##.##.##...###.##.##..##.#.......#.#..##.......###.###.##.##.#
#.#.########.###.###.###..##....#####.#.##.##.##...#.#.#..##....####..##.##.#.#..#.######..##..######.#####.#.......######.#.###.#.....#.###.####.#...###..##.##.##..#.#..##..#.#..###.#.#.#.#.#..####...#...###.####.#####.##....######..#.#........##.###.##...#.#...#........##.#...##...#..##.#.#..#.##..#.#..##.#.#..#.##.##..#.##..##.##.###.##.#...###.####.##.##.##.##.###.####..#####.#....##...##.##.##.........#.#.##..##.....#.##..####.####..#.#..#.#...#####.###.######.##.##.#..#.#####...........#.#
#.#...#.###..##..##....##.#######...........###..#.....##..####.#....##..##.#.####.#.#..##.#..####..#..#.##########...###.....#####.####......##..###.#.#.##......##.#.#.####.#...##.#.#...#.#.##..#####...#.......#...##....#.##...##.##.#...#.##.#.##.#....###...##.###.#######..###....###.########....##.#.#.##....#.##.#...##.#.##.##...#.#........#.#.#...##.#...#.##.##..####....##.#.####.#..#.###......###.##.####.#..##.###.##....##..##...##..##.#.######.#.#...##..###..#.##.#..#.##.##.#..#.#########.#
#.#.#.#.#...########.#.....#.#....#########.##..###.##.#..##.##.###.####.##.....#....##....#.##..##.##...#.#.#.#.###.##.#####.#.##..##.######.##.###..#.#.####.#####.#.#...##...#......##.##.#..#.##.#.###.##.####.###..###.##..#.###...#.#.###############.##.###.##.##.....##.#.##.####......#.#.#.##.#..#.#.#.#####.#.##.###..#....#.###.##.####.#####.#...###....###.....#.##.#####..#.#..#.#.##...###.######...####..#.#.###..########.##.###.#####.#..#...##...#.###.###...##.#.##.#.##..####.#.#####.#......#
#.#.###.#######.##.#.#####.#.########..........#######.##.##.##.#....##...#####.#.######.#....##.#...###.#.#.......#.#...#.##...###.##.##.....#....##.#.#..##...#.#..#.#.######.##.#.#.....#.##.#..#.#..##.#..#......#.###.....####.###.#.....##..#.#.##..###..###.####..#.###.....#..##..######.#......##.....#..###..#.....##.##.####.#....#.##...#########.#.##.#...###.###.....##.#.##.#.##.#####.##.#....#####...##.##.#.##..##.#.##....#.#.#..#.##...##.######....#...###.##..#.##.#.##.###.#.#.#.#.#.#.####.#
#.#..#..##.#.#...#.###.....#...##.....######.#####.#.#.#...#.#..####.####..##.#.#.#.##.####.####...###...#.#.#####.#.#.#....##.##....#.##.###.###.###...#.##..###.#.##.#....##############.#.##.#.##.##..#.##.##.###.#...##.####.##..#....#######.#.#.#..###..##....##..##...##.####.####..##.##.#####.#####.#.#.##.##.##.#####.#...#.#.####....###.....##.#..#.##.#####....##.###.#....##.#..#..##...##...####..##.####.##.#..##.##.#..####.#.#.#.##.#..#.#...##.#####...###.#.###.#.##....#.#.#.#.#.#..........#.#
#.#.##.##......###.##..#.#...####.#.###########.#......###.#.##.##....#.#.##....#.#.##..#...#..###..####.#.#.#####.#.######....#####.#..###.#.#.#.#.###.#.##.####...##.##.###..##.#.#.##..........##.#..##########...###.##...#...##.###.##.##.#......#.##.##..####.######.####.#.#...##..##..#..##.#..#..####.#.#........##.#..#.###....####.###...##.##..##....#..#..####.#....######......##.#####..#.###..#.##.....#.##...##..##.#.##..#.......#..##.###.####.#.#.###.###.#.#.#.#.#..####.#.#.......############
#....#.######.##...#########.##.###.#.............####........#..###.##....####.#....##.#.#...###..##.#..#.###........##.#####..#.##.#.###..#.#...#.#.#....#.##.##.##...#.....##..#.#..#####.#.####..#.####..##.####.##...#.###.####.###..#.##...#.####.##.#..##......###.......#...#####..##...##..#####..##......#.#.##.##.##.....#.##.#.#...##.######..###.##.#.##.##..#...#####.#.######....##.#..##.##..##.#..#.#...##.###..##.....##.###.#####.###..#..##.............#.#.#.#.#.#.####......########...#.....#
##.#.#.#.##.#.####.#.##...........#.#############.#....##.#.#...##...#####..#.#.#.#####.#####.#.##.##.##...##..#####.##....###.##.#......##...###.#.#.####.#..#.##..###...#.#####.#.##.#..####...##.##..##..##..#.#..#..#....##.##.#.#.##.#.#..#####.#..##.##..######.#.##.####...####..##..#.####.##.#.#.##..#.##.#.####.#..##.#######....##.##....#..#.##.#.#........##.#.#...##......##...####..##.##..##..#.#.#########.#.##.#####.##...##....##.....##.#####.##.#.####.#.#.#.#......#.#.#.####.#.##.#.###.#####
##.###.#.##.#..##..#.#########.######.#....#.#.#..##.#..#######.####..##.##.#.#.#...##...#.##....#.##..##.##..###.....###.##...##.###.#######..#..#...##.....##.##.##.#.#####.##..#.##.##...#..#.#...#.####..##.#.##.######.##..##.....##.#.#.##.##..#.###..##.###.#....##...##.#..##..##..##.#.#..##.....############......##......##..#####.##.####.##..#.#.##.#######....#.#.######.#####...##.###..#.##..##.....#.#.##....##..##.#.####....####..#####..#.##########....#.#.#.####.###.###.........#.#.#.#.#...#
#...##...#....####.#..##.###....##.#..##.#.....####..##.##.........#.##...#.#.....######.#..####...##.###..####.####.##...####.##..#....##.###.##.##.#######.##.##.##....#.##.###.#.##..###.##.####.##.##.##....#.##.#.#....##.######.###.#.......#.##.#.#.##..#.#.####....######.####..##.#..#.##..#####.#.#....#########.#####.##.##.##.##..##.#.##..#.##.#.#......#.##.#######.#....#.#...####.##..##.##.##..#.###.#..###.####.##....#.####.##.##..##.#.##.#..##.#######.#...#..##..#.#..##.#########...#.#.#.###
##.#####.##.####.....##..#.####.##...##..##.##.####.#########.#.##....###.#.#.#.#..##....##.#..##.##..#.##..##.......####..##...##.##.####.#...##.##..#.####.##.##.##.##...##.#.#.#..##.##...#..#.#..#..#..####...##.#.####.##.#.#.#..#.#...##.####.##...#.#..##...##.#.#.###...#.##...##..#.##.##.###....#.####.#.#.#.###.#.#....####....##.##..#..#.##.##.####.#####.#......##..####...###..#.#..##.##.##.#..####.#.#.##.#...##.###.#...##.#..#.##.##..#..#.##..#..#.#....###.##.###.#.#.###.###.....#.#........##
#..#.#.........####.####...##.#.####.######.#.....###..#.#.#########.###..#.######..####.##.#.###.###...#..#####.#.#..#.#.##..#.#..##.##.#.#.#..#.##.##......#..##..####.####.#.#...##..####.#.##.##...##.##..#.#..#.#.#.#..#..#.#.#.##.#.######.##.#..###.##.####.##...###.#.#######.###.##.##.#....####.#.#.#..#.#.#.........##..#...#####.###...##..#....##...#.##..#.########.##.##.##...##.##..#..#....#.##.##.#.#.##.#.#.#..#.###.###....##.##..##.#.##.##.##.##.####.##.....#.#...#..#....#.########.##.##..#
##.#.#####.###.#....#..###............###.#######..###.#.....#.#.##....##....##....##.#.....#.##...####.##.##.#######.....##.##.#.##..##.#.#.##...##..######.#.###.##..#..##....###..##..##..#.##.#..#.#...##.####.#...#.##.#.##.#.#.##....#..##..#.##.##..#..#.#..#..####.......##.#.##.....#..#.#####.#.#.#.##.#.#.#########.#####.###.##..#.###.#..##.#######....##.#....#.##..##.#...###..#..##.#.##.####.....#.....##.#.####.#..##...####.#...##.#..#.##..#....##.#.......#.#.#.#.###.##.####.#..#.#.#.########
#..#.#.##..#.######...##.###########.##.#..##.####.#.#.##.##......##.#..#.##.###.#....#.###....#.###....##..#..##.#...###.####.....##......######.#..##...##.#.#.#..##.##..####.#.##..#.####.#.##.##.####.##..##...###.#..#.#.##...#..###.##.##..##.##.###.##...##.##......#.#.####.#.######.##.#.#.##......#.#................#.#.#.....##.##.##....##....#.#.#.####....####..##.#..##.##.#.##.##..#......###.####.#####.....##..#.####.####..###.##.##.#..##.#.####..#######.###.#.#.#.#.##.#......##.#.#.#.#..#.#
##.#.#.##.##..#.#...#.#...##..............##..............#######....##....###.###.######...##....#####..##.#.##....#.#....##..#.#..#####.##...##.#.#####.#........##...#.##......##.##..##.....#.#...#.#..##.###.##...##.#....###...##......##.###..#..##..##.##.....###.######....#......#.#......##.#.##...#######.########.#.....#####..##.#..#####.####.#.....#####..###.##..##.#..##...#...##.##.#####.#.#.##..#..##.#.####...##....#.##.###..#.##...##..#.#.###.##.#.####...#.#...#.##.#.#######.#.#.#...##.#
##.#...##..#.##.#####.#.#..######.##.##.###..#.####.#.##.##.##....#.#####.##...##.....####.####.#.#.##..##....#..#.######.##..#####....#...###..#.#..#.#....#.#.##.#..#.#..###.##.#..#..####.####.##.##.#.###......#.#.##.#.########.####.####..##..##.##..###.####.#...#.#.#.#####.######.....#########.#..######.####........#.###.#.#.##.##.##...#....#.#.#.###...##..##.#..##.##.#.#####.#.#.#...#....##.#.#..##.#.#####.#.#..#######...##.#.#.##.##.#####.#....##.#.......###...#.###..#......##.#.......#....#
#....#.###...##.##.##.###.##...########.#.#######.########.....#######..#..###.#..#####....##...###....######.##.######....##.#...####.###.#.##...#.##...####.#######.####.######.#.##.####...###....##.#.#.####.#####.#..#...##...#..##...###.###.##...#.##....#.###.#####.#..#.#..##...###.#..#..##....##..##....#.#####.###.#..####.#..#.#..##.###.####.#.#.#.#####..##..#.##........#.#..#.#####.#.####..#...##.....#.##.#.##.#..##...####.#.#.##.....#.#....####..#####.###.###.#.#.#.##.######..#.##.#.#####.#
##.#####.##.##..##.#...#...##.##.#.#......#.#.#.#.##..#.##.#.#.##..#.##.##.#.#.##...####.###..#..#####.##.##..#####.#...##..#####.##...#...#.####...###.###....##.#....##..#.##......#..##..###.####.##...#.##...#.##..##...######.#.####.##...#.#.###.##..##.###..#..#.##....##.##..#.###.####...##..#.####.#####.#.#..######.#.##.##...##.#.##..##....##.#.#.#..##.##..##...######.##...##....##.......###.#.####.#####.#..#.#..#.#####..#.#.#.#.#..#.#...#.#.##..#.##.#.#...#.##......#........##.##..#.###.#.###
#...#.#...#.###.##.###.###.#.......######.#.#.....##.##....#.#####.#.......#...##.###..####..###.#.##..#...##.#.#.#.#######..#.#..####.###.#.#.###.##.###.####..#.##.#####.#..#####.##.####..##.##...####.#..###.#.###.###.###.###...#.##..###.#.#..##.##.###.#.##.##....##.####.##.##.#...##.#.####.####.##..##.....#.##.#....#.#...#.#..#.#..##..#.####..#.#...##.....###.#..##.#####.#####.#..##.######........#.#.#.#.#.##.##....##...##.#.#.#.#.##########..##.#..#.#.###.#.#####.#.#.#.######..##.#####..#...#
###.#.##.##..##.#.......##.####.##...#.#..#.#####.##..#.##.#.#.......#.#.#...#......#.###.#####.....##.##.##..........######...##.#.#......#.#.#.#.#..##..##.##.#.....#.#....####...##..####.##.####..##....##...#.#.#..##...#.#.#.#...###..##...#.##...#.#.#.#..#.#..####..###...#....###.#..#.##.###.#..#..#######......####.#.##.##.####.##.##.##..#.##...#.########...####.#..#.#....##.###.##....#.####.#.####.........##....######.###.#.......#.#..#.##..###...##.#..#..#.#.#...###.###.##.##..#.....##...#.#
#.........##.#..#.#####.##..##..####.#.##...#.#....#.####..#####.##########.##.#.####.##..#.#.#####.##.##.###########.#.##.##.###.#...##.#...........##..##...#.####.##.##.###..###..##..##..##..##..######.####...#.##..##.##...#####..##.#####....###...#.#...##.##....##...##.##.####.....##.....##.##.##.#.##.#######.#.........#...#.#.##.##.###......###.##.#.#...######.##.#.####..#.##.....#.##..#####...##.#############...#.#..##..#.###.###.#.##..##.#.###.##.##.#.##.#.###.##...#...#..##.#.#####..#####
###.#####.#..#.####.#...###..####.##.#.#..###.#.##....####.##.#######.....#.####....#.###.#.#.#.#.#.#..##...##..#..............#..#.###..###########.##.#####.#..#.#.##.##.##..###..####..##..#.##..##..##..#.####....#.##..#..#.##....##..##.##.####.#.###...###...#.####..####.##..#.##.##.##.#####..##....#.#...##.....###.#.##.##.###.#.#..##.#.#.###.##.#.#..#.###..##.#...#.#.#.##.##.####.######.##..#..###...##.#....###..###.##....######.#.#.#..#.##....##..##.##.#.##.#......##.##.###.##......##..######
#.###.....##....##..###.#.##..##..#......##.#.####.####.##.#........#####.###.###.###..#..........#.#.####.####.##.#.##.##.###.##.######.##...........#..##.#.##........##.##.##.##.#.#..####....##..##.#..##....####.#.##.##.##..####..#.###.##.###......##.##.##.##.#..##..##.....##.#####....#.#.#.######.#.###..#####...######.#..#.#...##.##......####..#.#.##..##.##..##.##.....#......##...#.##...##.##.#.##.##..#.####.##.##...##.###.#..........##.#..##..##.##..#.#.##.#####.##...#.#.#..##.#######.##.#.#
#..######..#.######.#.....##.####.######.##...##...#.#..#######.###.##.....##.#.#...##.##########...#..##..##.#..###########.#....##..##############.##.##.....#.#####.##..##.#...#.#.#.##..##.###..##..##..##.#........##.##.#####..##....#...#...######.##..#.##......##..##..###.#...##.####.#.#.#..#..##....#..##.#.##.####....##...#.####..##.#.###..##.#....#.##.....##..###.##.##.#######.##.##.####..#.......#.##..#.#.##..###.....##.######.##.###.##.###.#...##.#.#.##.##.#..#..#.......##.....#.#...#.#.#
##...#.###....##.#..#####.##..#.#.##.#.#.##.#..###.#.##.#.#.##..#....#####........###........#.####.#.##..##..##.##.#..##.#..####.##.##.##............#.######.###...#..#.##..###.#...#..##.#..#.##..##.###.##.########.#..##..##.##..#.##.###...###......##.##.##.###.####.##.##.####.##..###....#.##...######.#.##....##..#.####....###..##..###.#####.##..#.##....#####..##..####..##...##....##.....#.##.#.#####......##...##.##.#.###.#...#.##...###.#.##...#####......#.##.#..##...##########..#####.#.###...#
####...#.####.##...##.##...##.#........#..####.##..#.##.#.#..#######..#....#.#.##..#########.#..#......##..##.##....##.##.##.#..#.#.....####.#.##.###.#..##.##.#####...##..##.##..###.#.##..##.#.#..##...##.#########.#.#.####..#....#####.#...###.######.##.........###....#..##..##..###.#.##.#...####.##..#.....####.##.##.##.####.#.#.##..##.#.###.#..##...########..#.###.##.#..##..#######.#####.##.#.......##.#.#######....##...#######....##.##...#..###...######.###.##.##.###.##...###..##.#..##.#.....###
#..###.#.#.##.##.###...##.##....#.####.##..##..###......#.#.##.#...##...##.#.#####...##......##.#####.###.##...####.##..#.#..##.#.##.####..#####..#.....###.#....##..#....###.#..##.#.#..##....#.#.####.###..##.............###.##.######....#..#...##.#..###.####.########.##.###..##.#.....######..#.#..##.####.##.##.##.##....##........#.###.......#.####.##.##.#.##...#.#.##.##.###.#.#.#....##....#.#.##.#######.##..#...#######.#.##.#####.##..###...###..###......#.#.##......#.####.#...##..#.##..#.###.#.#
#.##..........##...##.##...########.....#.##..##.#.####.#.#..#.#.#####.##..###...##.########..#....#.......##.#####.#..##.##......#...#.##..##...##.###.#.....#.#########.##..#.##..#...#####.##...##...#.#.####.######.#####....#..#.#.####.####.###..##..##.##.###...##........##.##.###.###.##...##...##..#.......##..#..####..##.###.###.#.##.#.####..##..#...#.#..###.#.#.##..........#.##.#######.#.#..#.......#.###.###..###.##...##.#.....##.###..###.##...######.#...#####.###..##..#.#####.#..##.#.#.###.#
#..##########.#..#.#...##.##..##..#####.#..##..#.###......##.#.#.#.#.###########......#.##.##.####...#.#.#.##..#......##.....#.##.##.##.###....######.#.#####.#####.#.##..###....##.##.##.##...##.####.##.....#####.......#.####.#.##.........##..#.##..##.#..#...##.#######.#.#..#.##.....###..##.#####..##.#####.###..##.##.##.#####...##..#.#..#..##..###.##.###.#.##.....#.#########.#.#.##.#.##..#.#...###.#.#.####.#.##..##.#.###.##..#####..#...##.##...##.##.##.#.#.###.#....##.####....##.#.#.###.#....#..#
#.##.#.#......#.######.##.##.##..##.##..##.###.#..####.##........#....#.##.......##.###.#..#...#.###.#####..##.#####.############....##.#.#######.##....#.#....#.#..#..##.#.####.##.#..##.####.##..##..##.#.###.#...#.##.##.###....##########..##...##.##..##...###........#.####.#.######...##......####.##.#.....#.#.##..##.##.#...###..##.#...#####..##...#..###.#..###.###..##..##...###..#.#..##.....#...#######.#..#..#.##......#.##.##.#.##.#.###...#.####.##..#.#.#.##..###.###.####.#####...#.##..#.####.##
#..#.#.##.###...#.#.#.....#..###.....##......#.#.##.######.###.#.#.##...####.###.#...##.##.###.....#..#.#####...###....#.#..#.#.####.##.#.###........##...###.##.##.#.###.#.###.....#.##...##..##.####.##.###.....#.####.##...##.###.#......##..#.###...##..##.##.##.#.##.######.....#.##..######.####.#.....#####.#.#..#.##.....##.##.#.##....#.#.#...####.##.##.#.#.##...##..####.####..###...#.####.#########....#.##...##..####.###..#.#...........###.#..##...##...#....##.##...#...##....#.###.#..##.#.##.#..#
##......###.#.###...##.##.##...###.#..######.#.#.##.#.#.########.####.#..#.#########..#.#..#######...##...####.##.##.###...##....##...#.#.#.#######.#####.###.##.#..#.##......###.#....#.#####.##..#.#.#..####.######.....#.####.#.#.######.###.#..##.#####.##.#..##.######.##.###.###..##..##.#...##..##.######...#...##..###.#.#.....#.##.#.####...#.#.#..##..#.#.#..###..##...##....#.##.###...##........###..####..###.##.##......##.#.########.####.#.#.#####..###...#####.#..###.###..####.##....##.....#...##
###.###..#.....####.####.....###.####.###....#...##.#....###.#....#.####....#..##..##...##...##..###....###.#..##....#.#.#..####.####...#.#..##.######...........##....####.##########...##.##.#..##.#...##.####.#.#####.##.#.#..#.#..##..#..##...##..#..##.#....###..##.##.##......##.##..###.###.##.##..##.#.###.###.##.######.#####.#..#.######.#####.#.##..##.....##.#.###.#####.#....#.#.#.####.####.###.##..#.#.##....#..##.##.##..#..##.##.#..##.......##.##.#.###..###..##..#....##..##..##.####..#####.####
#.###.##.#####..#.#..#######...#.##.#.#.####.##.##..###.##.#.####...##.####.##.#..#####..###..#.##...##..##.##.#####...####..#....#.###.#.#.##....##.###########.##.#####.#.##....##.###.##..#.##..#.##.###..###.#.#.###.##...##...#.####.##.#..#..##...##..##.###.#.##..##..######.....##.#.#.#.#.#...##.##.#.#.#.##..##..#.##....##..##....#.#.#...##..#..##.####.####.#.#.#.##..###.##........##.....#..##.#..##...#####.#.######..##.#.##..##.##.####.##.###.#....#.##.#.##....##.######..##.....##..##.##.....#
#.##.....##....##.##.#.##....#.#.##...#.##.........##......#......#....##...##.##.##.#..##.##.#.####.###.#..#...#.####.##.##.####.#.#.#......####.##.#.#.........##.##..#....###.##..#...###.#....##.##.#.##.#.#.#.#...#..##.##..###.#.#.....#.#####..###..###.##.......###.##..####.#####.#.#.....##.##..##.#.#.#..##.##.##..###.###.####.###.....###..##.##....##.##.#.#...#..##.#############....#.#.#.##....###.###.##......##...###.#..##.#..#...##..#####..###.##.##.#.#####.....##..#.####.##..##.....#.#####
#..#####..####.#..##.#.####.####..###.#.#######.##########.#.##.###.##..##.##........##.##.#......##...####.###.....##.#..##.#..........#.######.....#.#########.#...##.###.##.#..##.###..##.####..#....#.#..#.#.#...#.##.#...##.#.#.#.###.#....##.##.##..###..#..#######.#..##....#.###...#.#.##.##..##.##......#.###.##.##.##.#.##...#.#...##.######.##...#.#####.##.....###.###.#.#..#.#...#..#.##.#.#.#..####....##..####.###..#.#.....##..##...###..##.#.##......#.#.....##...###..##.#..#.#.#####..#####..#.##
##.#.#.#.##....#.##....#.#....##.##.#.#..##.......##.#...#.###..#######.....########.#...#.######.##.#..##..#.####.##..##..#.##.#########..#.#.##.##.#..##.##......###..###.##...##..#.#.###.##.##...####...##.#.#####.#..##.##....#.#.#.######.##..#..##.#.##.#.###..#.#.#.######.#...###.#.#.######.#..####.##.#.##...#.##.#.....###.#.#.###.....#....##.##.##.#...##.#.##.#.#.#.#.##.#.###.#.#######.#.#.##.###.#####...#..#.####...#######..###...##.#.....####.#.#...########...##.##.#.##.......##.##.##.##..#
#.........####.#..####.#.##.###.......##..######.##..###.#..#####.##.#..#.#.##...#.#.###.#.##.#......######.#.#..#..##.###.#.######..#.###.#.#.#####...##...######...##.#...###.####.#.#..#..##....###..###.##.#..###..##..#..###.##.#.#.#.......#.##.##..#.#......##.#...#...##.#...###.....#.#.##.#.##....###..#.###.##..#.####.##...#.#.#.#.#####.####...#.##.#.####.####.#...#.#.##.............#######.#...##..##...#.##....#####.....#.##.#...####...#.###..#.#####...###....#######.#.####.######.#......#.##
###.###.#..#.#.#.####.........#######.###.##......#.##...#.##.##...#.#.####..###.#.#.#.#.#.#..##.###..##....#.##...##......#..##..##.#.#.#.#....##.###.####.#......####.###.....##...#.##...######...#.##........##.#.####...###..#..#.#.#####.#.......##.#.#.#######...###.####.##.##.#####...#.#....##.#######.#.#.#.##.##.##....###.#.#.#......##..#####.#.##.#.#..#.##.#.##.##...#..##.#.##.#####.##.#..#.####.##..###.###.###.##..#####.##.##.###...#####.##.#..##.##.##.###.##.#.#.#....###.##.##..#.###.##..#
#.########.....#..#.#######.###.####.......####.#.#.####.#.##.####.#.###.###...............##..###...######.#..###..######...####......#.#.###.##..#....##..######.###..#.#####..###.#.##.###..#.#.###..######.###..#.##.#.#.#.##.##.#.#.....###.##.####.......#.##...####..#.#..#..##.#.#.#.#...####.##..#.#....#...#.##.##.#####.##........#.#####.##.##..#.##.....##.#....##.####.##########.#..#..##.##....#.#.#####....##..##.###..#.##.##.##.##..###..##..#.#.##..##.##..#...#.#.#...#.##...#...##.....#.##.##
#..##.#....#.#...##..###....#.#.#..##.###.##.####.#..##....#...#.#.#.##...####.#.#########.#..###..#.#.##...#.##...##.#.####..#.######.#.#.....###.###.####..###.#.#.##.#..##...###.......####.........##.#..#...##......###.#....#....#.##.####..###.##.#.#.###.##.###..#.##.##.##..#.#.#.###.###.#...#.##.####.###.#.##.##.#.#.#..###.####.#.##........##.#.#..#####..##.####..###.....##.#.#.#.##.###.#..##......#..#.##....##...##.##.##.##.#..###.#.##.###.....###..#.###...###.#.##.#######.#.#####.####.#...#
##.##.##########....##.####.#.#.##....###.#..#.#..#.######.###.#.#.#.#..###.########.#.#.#.#.##.####.#..###.#.####.#.....#...##....#.....##.#.##.......##.##..............#####.#.###.#####..#####.###....##.###..#####.###..####.####....####.#.###...#####.#.#....###.##.##.##.###...#.#.##..###...#.#.##.###..###....#..#.#.#...##.#....#####..####.###....#.##.##..##...##..##.#.###.#.........#..#....####.#####.######.#.###.##...#.#...#...##.#.#.#...######.#.##.....##.####.......###..#.....#.#.#.######.#
#.....#..###.....#####.#.##.#...##.####...##...##....##....#.......#.##.#.#...#.##...........##.#.##.##..##.#..#.#.#.#.#.###.#####.###.###..#.####.###.##.#########.#.###.#.#.#.#.#...#.....##..##..#######...##.##.......##...##..#.####..##..#.#.###..#.#..#...#.##.#.##.##....#.##.##.#..##...#####....#.#...##...#.##.##...###.#....##.#..##.#######.####.#.##..#.#####..##..#...#.######.#.####.##.#########..##..##.####..##.###.##.###.###.#..#.#.#.###.#.........######.##.#.#######.##.#.#####......##.#..#
#####.##.#.#####.#.##..#.##.###..###.####.#..#..##.#######.##.####......#.###.#.#####.#####.##....#...##.#....##...#####.##.....#........####.#.####........#.......#####.#.#.#.#.###.#.#######.#..##.#.##..#.....######.##..#####.#.#.###..##......##.##.##.#.######....#.##.####.#..#..#.##..####.#..####.###..#####.#..###.##...####.#####.#.......##...##.#.##.##..#.#..###.##.###.##..####..#.#.##.###.##..##.###..#.#.#..##..#.#.##.#.#.##..##.#.#.#...#.###.#####....##..##.#......#..##.#.#...##.#####..##.#
###........#.....#.###........##.##...#...####.##...##.#.#.#########.##...#.#.#.#...####..#..####.###.##.####.####...##...#.#.#...#.###.##....#.#.#########.######.##..............##...##.####.##.#.....#.#####.##..#...###...##....#..##.######.###..##.#..#.#.##.###.##.#.....#.##.##....##..##..##.###......##.###...##....###......#.##..#.##########.#..#.##.###...##.##..##.##..###.#.###.............#.##..#.#.##.#.##..##...#.##.#.#.##.##....#.#.###..####.#.##.###..###.#.######.##....#.###....##..##..#
#.####.###...#.#....#####.#.###...###.###.##....##.##........##..#...####.......###.##.##.#.###....##.#..###...#.#.######.#########.#....####.#....###.##.....#.#..#######.#.#.###..###..#..##.......#######......##.#.#.#.#.####.##.##.##.#.##.....##.##.##.........##..#.##.####.#...####..#.##..##....#.####.##.#.#.#..##.###...####.#..##.....#.#.#.#..##.#.##...#.#.#...#.###.#..##.#.....#.#############..##.#.#.##......#####....#.#.#..#.###.###...###.##.#...........##.#...###.##.###.###...##.#####.###.#
#.#######..#.####.#.#.#.###.##..#.#.#.#.#..#.##..#.###.###.#..##.##.##....#.#.#........##.#...###.##..#.##...#.....##..##...############..#.#.#.####....#####.#.##.#.....#########.##...##.#########.#.#.########.##.###.#.#.##.####.#...#.#.#####.##..##.#..####.####..##.##.#.##.##.##.##.##..##..##.#######.......###.##..#.#####......###.#####.#...##.#....##.###.#####.#.##....###...###.#.####.....##.##..#.#...#######..#..##.###.#...##.#.#..##.###.#.##.#####.#####.##...###.#.#...##..##.###...##.#.....#
#.....#.##.#.#....#...#..#...##.###.#.....######.#...###.####....########.#.#.##.#.#.#......###.#..##....##.######....##..###.#...##.####.#.#.#..#.####.#.#.....#######.###.####....###..#.#.##..#.#.....#.#..#.#.##..#..#....#.##...###......##....##.#..##.#.####....###..#.#.#...#.#........####.#..##.##.#.####.##....##.#.##.##.#.##.##..#.##....###..##.####.#.#..#.##.#.#..#.##.######.........##.##..#..##.##.##.#..###.##.....##.##.###.#.#.##...#....##.##.######.#.###.##.#.#.#.####.###.#.#.###..##.####
##.##.#.########.####.##.##.##...##.#####.#.#.#..#.#.#.....#####...##.###.#.#.#..#####.####.##..#.####.######.######.##..##.#.#.#.......#.#.#.#.##.##.....#####.#.##....##...#.###.##...##.#..##.#.#.#####.##......##.##.####.#..###.####.###....##.##.##........####.##.#.##.#.#.###...######..##..#.###.##.####....###.##..#.##.#######.##.##....#.##.##.##.##.#.....##.#......####...#.#.#####.#########.##.##........##...#..####.##...#.##..#...##.###.####......##.......##..#........#.#.#.#.#.....##.#.....#
####....#.#.#.#######..#.......###..##.##.#.#.#.##.######.##..####....#.###########....#....###.#.#.##..##.#.....###.##.##..#.#####.###.......#.#..######.##.......####....#...#.#.###.##....##.........##..##.###....##..##..#.##.#.#.##.#...##.#####.##.###.##...##.##......#.....###.#.####.###.##.##.....##.###.##.#.###.#.##..##.#....#.##.######..##.##..#.#.#.####...####...####.............#.#.#.#.##..##.##########.##.###...###.#.###.#.#......#..######.#####.###.####...########.....#.#.######.#.#####
#.#####.#.#.#.#.#.#.##.#######.#.##..#.#..#.#.#.##..#..##.###.#.#####.#..#.##.....#########.....#.#.##.###.#####.#......###.#.##.####.#######.#.#.##..#.#....#.###.#....#.####...#.#.#..##.######.##.#####.#####.##.#.###.###.#.##...#.##.##.###.#.#.#.#..#.#########..##.###.#.#####.###.#....#.#.#...#.#.#..#.###..#.#..##.#.##.##..####.#..#..##.###.....##...#.####.##.##..#####..##.##.#####.###.#.....##.##...####..#...##.#.##.##.#...#.#.####.#####.##............#....#.##.##.#.##.##.##.#......##..#....##
#.#..##.#.#...#.#.#....##...#..#.###...##.....#..##...##..#.#....##...##.#..#.###.#.##......#.#.....##.#.#.##..#.##.###..##.#.##.#.#..###..#..#.#..##...##########.########.####.......###..##.##..###.##..##.#..####.........#..###.#.########........#.##.....##.#..#######.#..#.##..#..####.#...#.########.#.#.##.#.#.###....#.###.##.#.##...##...##.######.###..##..#.....##..#..##########.........#####.....###..##.###.##.#.##.##.###......#.#..####.################.#...#..##....#.#...###.########.#.##..#
#.##.#..#.###.#...####.####.##.#.#.##.#######...##..#####...####....#....#.#####.....#####.####.###..#...#..##.#.####...###.#.##.#...##.##.##.#.#.#####.#.###.......####.#....###.####.##..##.....###...##.##.##.#..#######.#...##.#....##..#.##.#####......###..#.##....##...#.##.###...##......#.#.#.###..#.#.#....#.#.#...####.#...#.....#.#####.##...##.#..#.#.####.#.###..##.#.###.##.##.###.#####..#.##.#####.##.##..........##.#...##.####.#.#.##.....#.##..#..#.########.#.####.###.#.#..##.#..###.....#####
#....##.......###......#.#............#.##.##.#..##.#.#.###...##########...#.#.#.##.###.####....####.#.###.##..#.#.####..#.....#.###.......##.#...#.##..#.#.#.####.##....##.#..####.....##.#####.##.#.####.#..##.#.##.....###.####.#.######.#..#####...#.#.##.####.##.#.#####......#.###..####.#####.....##.....####...#...#....#.###.###.#.....#.#....###..##.#.#...##.#.#.#####.#.##..#...#.#....#######..#.#.#.#.....####.###.###....#..######...#..#.#####..##.##...#.##.....#.#.#...##.#.####..#.##.####.##.#.#
##.#....#####.#.#.#.##.....#.#.######.#.##.####.##....#...###...#.##.....#.#.#.#.#...#.....######.#..#.##..###...#.#.###...###...#########.##.###....##.#.#.###.....##.#..####...#####.##...#.##..#....##..##.#..#.######.##..##.#.#...##.....####.###.#####..##.#..#.###.#...######.#...##.#...#.##.###.#..###..#.###.#####.##.#...#.#.#.###.###.###.##.##.##.....###..#....##.#....##...#...#.####.....##.#.......#####.####...#.##.####.#....#.###.##....##.##..####.#..##.##.#...##.##.....#.##.......##.......#
###########.....#######.##.#.###........##..###..####.##.##.###.#..###.#.#...#.#####.####.##..##..##.#.###.#.###.#.#.#.#.#.#...###...##.....#.#.####....#.#.##..###.#####.##.##.##.###.#..#...###.#.#####.##..##.#..##.#.....##..#...########.##.#.#.#.######.##.##.#..##.##.####.##.##.##..#.###.##.###########........######..###...#.###...##...##..#..#.##.#####.##...####..#.###########...###..##.###.#.#####..##...#.#..#...#..##.######.#.#......####..###.#.##...######.##.###.##.###.#....#.#.#####.######
#.##.##...#.#.#..#.#..###..##########.####.##.#.##..#.#..##..#....##.#######....##.....##..##.#..##..#..##.#.#...#.#...#######..####..#####.#...#..###.##.#.#####...#.#.#.#..........#.##.#####.#.#...##..###.##.#.##..#####..##.#.###.#..#.#.#......#.#.#.##.#...#.#.##...#.##.#.##..#..##.#.#.#.#.....#.##..########.##...###...###.#..####....###..##.##.##.##.......#...###.#.#.#.#...#####.....#####.#.#.....#.#####.#.##.###.##.....#.#.......##.#.##.##..##......###.##..........##...###.####.###..##.#.##.#
#.....###.#####.##...##...##...#.#.#..##.#.#.....##...##..##.####..#..#.#.#####..####.####.##...####.##....#.###.#.##.####.....##....##.###.###.#.###..##...#.##..#.#...#.#####.####...#...#.##.#.#.###..##.#.##.#..##.......###....##.##.....#.####.#........#.#.#....###.#..#.#..##.#.##..#.......#####..##..........##.###.##.##...#.##.#..#.##.#.###..........#.##.##.###.#.......#.###..#..#####..##.#...#######.##..#.####......##.##.#####.########..##.####.#.####.....##.#.######.####...###.##..##.....#.#
#####.#....#.....###..########.#.#.##..#.#.###.######..##.##.#.#..##.##....#....##.....#.#.#..#.......####.#..#..#.#...#.#####.#####.##.#...#.#....#..#####.#.#####.###.#.#.#.########.###...##.#.#...##.##.#.##...#########.#.##.####..#####.####.....#.#.######.#.######...##...##.....##.#####.###..##.############.##...#.#...###....#.#.####....#.#.#####.##.#..#######..###.#####.#.##.##.#.#.##.#..#.#####..##.###....##..#.####..##....#...##.#.###..#.######.#..#.###..###.##.#.#..#.##.##.####.##..#####.#
#.....####.#####..#..##.###........###.....#.#...##...##...#...##.#..#####.##.#....###.#.#.##.###.###......##.##...##.##..#..#..##......###.....##.#.###.#..#.#.##...##.#.#...###...#..##..###..#.#.####.......##.###...####.#.....##..##.#....#.###.#####.#..##..#.##.#.###..##.####.##.##.....#.####.....##..##.##.#.####.#.##.#####.###.#....####.#.#...############....##.#....#.##.#.....#......#.##...#.....##...#####..####..#.######.#...#.......###.#..##.##...####.####......#.#.##.##.....#.#..##.#.#.#.#
###.#..###.##.###.##.##...########...##.##.#.#.######.####.##.##....##.###..####.###........#########.#.##.##.#..###...##.##.##..#.####..####.#.#....#.#.##.....###.##....###.#.###.##..##...##.#.#.##.######.###...##.##......#######..#.#.##........#######.##.##.#....##..##...##...######.#......##.#####.##.........##...##.##.#..##..#.####.##.#...###.....#.##...#####.#.####..#.#####.#.######.##.###.###..###.#.##..##.###....##.######.######.##...##..#.##.#.#.#...##..###.##.#.##.#..#.#.#...##..#.#...#
######..........#.##..#.###.#.##.##.######...#..##.....##.....#..#####.#.##..#.###########.##...###...###.....##.#.##.###....#..#####.#.##....######.#.#.###.####....###.###....##.....##..###..#.#.##.#.#.##..#..####.##.#.##.##..#.##.#.#.###.#.###..#.##.#.#..##.#.######..##.####.###...#####.#####..###...#.#.#####.####.##.#....####.#.#.#..##...###.#.#####..##.##.##.....#.#.##.#.##....##.#.#..#.##...#####.#.#..##.#..#.#.#.##..#.#.#......#######....##..#.###.#.#######......#.##.#.######.####.##.#.###
#.##.########.#...###....##..........#.#.###.##..#####.######...##.##....###....#...#......####.#.###.#######....#.##...####...##.#.....#########....#.#.#.#.##.#.##.##..#.####.#..#.#..##.#.##.#...##...#..##.#.###.#..######.#..##......###.#######.##.##...##..#.#.##.##..###.##...#.#.####......#.##.#.##.#######.#...##...#.##.###..#.#.#...##..#.#.#....###..###..#..####.##.#.##.#.#####.##.#...##..#.#...##....##.#..##.....###..##.#...######.#.#.##.#####....##...#.##.#####.#......#...#.#..............#
#.#..#.....######.#.#.#.############..........##.#.#....##.####.....####.#.##.#.###.######..##....##..#...#...##......###..###.#..#####..#.#.##.####.#.#.#.#.#..#.#...##....##....##.##.##.#.##...###..#.#.##..#.##....##......#.########.##..###......#.####..##.#....#.#..###..##.#.#.#..##..####...#.....#..##.#...###.####.#.##.#.##.....###.##.####.#.####.##.#.##...##.#..##.#.##.#.#.##.......###..####.#####.####.##.#####.###..##..###.###..#.#.#....###.###.####.##.#...###..##.#.#...###.#.#######.######
#.##.#####.#.####.#.#.#####.##.#..###########.#....###.##...#.#.#####.##...####.#.#.##.#.#.######..##.###...#.#######..###.#.....##.##..##......##.#.#.#.#.#.#.######..###.#########.#..##.#..#.########.#..##....####..######.#...##.##...#.##.#####.##.#.#..##....####.##.#.##..###.#.#.####.#....###.#####.##..#.#.#.#.#.##....#....##.##...#.##.##.......##.#..#.##.###..##.##...##...#..#.##.##.#.##..##....#.#.##.#.....#.#......####.....#.##...#.####...#.##...##...#.##.##.#.###.#.#.#.............#####.##
#.##.#.....#..#.....#..#.#..#..##....##.#####.##.####...###......###.....#.#.#...............##.##.##.#.#######.#.##..##.#.####.##..###.##.##.#........#...#.#..##..##.#....##.###.####..#.##.#.....#.#..#.###.####.###..##..#.#.####.#..###.#...##....#.#.#.##..####.##.##....##..#..#......###.##...#..#.#...##.###.#.#.#..####.#.##########...##..####.##..#.##........##.#..##.#..###.##...#######.#..###.#.##.#..#.##.##.#...#.#.###.#####...#..###..#.##.##..##.####.##.##.#..#...#.#.###.#.#.##.#.#.###.....#
#.##.#####.##...###...##.##.##..###.##........##.#..##.##.##.##.##.####.##...###.#.#.######.##......###.##.#.##.#.###.##.#.##...#..##....#############.###.#.#.###.##..###.##....#.##.#.##.#..#.#####.##.#.##....##..###..##...#..##..##..##.#.###..##...#...###.##.#.##.##.######.##...###########.#.#.##.#.####.##....#...##.......##.###....###..##..#..##...##.####.####.#.##..####.#..###.#.##.##.#.##.#.####.##.#.#####.###.#.#.#.#.#.#...#...##.#.##....##.##...#.#.##.##.##.#.#########.#.##########.##.####
#.#..#.###..#####.##.##..#..###......####.#.#....#.##...#.####......#.######.....#.########.####.##.##..##.#.#.........#.#.##.#.#.####.#..#.##.#.#..#..........#.#.#..##...#####.........#.##.#...#.#..#...#..#####.##...#####.##..##..#.###.....#######.#.###...##...##....#..#.#.###.##.###..##.#.#.#..#.#..##..#####.###.##.#####....#.####.#.##..##.#.#######..#######.#....##..#.#...##...#..#.#....##.#..#.#.##.#..##.#.#.#.#####.#.#.#####.###.....####.##..##.##.#.##.#...#......#.##.#.#...#.##..##.#....##
#...##.#.#.##.##......##.##.#.#.#.#.##.#########.#..##.##.#.#..#.####..#.#####.#####..........#####.###.##.#.#########.#.#.####.#..#.####...#..#.##...#.#.#.##...#.##.####..##.#.#######.#.#..#.###.##.###...##.##...###.##.#...##..##.#.#.####.##.#..#......###..##.##..####.##.#.#....#.#...##....###.##.#.##..##.##..##..####...##.###..#...#..##..#.#.#.##..##.#..###..###.##..##.#.######.#.##.##.###..##.#.#.##...##..#.#....#.#....#..###....##.#####....##..#.##...##.###.##.#.#......#######..##.#..#.##..#
###....#.#..#..##.##.##..#....#####.##.#.#.#.#.#.#.##..##.#...##....##.#.#...####.##########.##.#.......##.#.#.#.##........#.#..#.##...####.##.#.#..############.#.##.#.##.##..###.##.##...##.#.#.#.##..##.####.##.####..#..##.####.##...#.##.#..#.##.###.#.###..###..##..##..##.#.####.....#######..#..##...###....###.###..#####..#.#.##.###.#.####.....#..#.##..#.##.#.####.###.#..#...#.#.....#.##..#..##..#.#.##.#####.....####.##.#...##...#####...#.###.##..##..###.##.##..#..########..#.##.##.##.##....##.#
###.##...##.##.##.#..###.###.####..............#.#.###.##.###.###.#.##.....####.#.#..#........#.#######.##.....#.#####.###.#.##.#.##.###...........##............#.##.#.#...##..#..#...###..#.......##.##..##.#.##..#.##.##..#.#.#...###....#.#.##..#.#.#.###.##.#.##.##.###.##..#..##..#.#.#....##.##.#####.#.####..##..##.##..###.....##.##.......#.###...##.###.#..#.#.##.........##.###.###.###.#..##.####.....##.##.#####.##.##..#####..#.#....#..###.....###..##..##.#...##.#.###.#...####.#......#.##.#######
#.######.#..##..####..#..###.##.####.###.#.###.....#.#....##...######..###.##.#.#.##.#.######...###......#####.#.#...###...............######.##.#..##.#.######.##.#....##.####.##.##.#####.#.###.#.##..##..#.#.#..##..#..##.#.#.##.##.###.##.#.###...#.#..#..##.#.##.........##...##..######.####......##...#.#.#..####.#..##.##.#.#####...##.#.##....##.#..#.#.#.##......#.#####.###..###.##...##...##...##..##.##...#.#.#...##..##..#.#..#####.###.####.###..##.##..##..#.#.#..........#.##...##.#####.#.....#.##
#...#.#..##.##.######.##.#.#.##.#......#########.#.#.###.##..###..######........#.#..#####..###...#.#.##...##......######.#######.#.##.#...########..######........####.##.##.#.#......#....###.#.####.##..##.#.#.##..##.##....#....##..##.#.....####.#.##...##....####.####.####.###.##.#.#...####.##.#####.....##.##...#.##...#.#...##..########..#.######...#.#.##.##.#####.#.....#.##....##.###.######....##...###.#...###..##....##.##..##....##....####..##...##..##.#.####.#.#.#.########.#...##.....#.#....#
#.###.##.##.##..#.#.#.#..#.#.#..#.####.##.#..#####.#.###.###..##.##.#.#########.#.##.##..##.#.#.##########....##.#.###.######.##..########..###.#.#######.##.#.###.###.....##...######.####.##.....##...##.##.#.#.#..###..####.##.#..##.#..#.#####....#.####..##.###.#..##.#...##...#.##...#.#.#.....#.#.#.##.##....##.#...####...#.###..######.#####......#.#.#.#.##.####.##..###.###.##.#####..#..#.#.#..##.######.....###...##..#####.###..###.##..#####.##..##.####.##....##..########.##.#..##.##..########.###
#.##..#......#.##.....##.#.#...####.####....##..#......#..###..#.##.#..###.#..#.#.#...#.##..........##############.#.#..##.....##..#..##.##.#.#.....##.#..#######..#.###.######.#.##....#.#..##.####..#.#..##...#.#.##...##.##.####.##..##.#.....####.#.#.#..###..#..#.###.##.#####.#..##.##.######.####...##.###.#..#####..#.##.##...##....##...#.##.####.#.###.#.....##.....####.#.#.##..###..##.##.#.##..#...##.#####..####..##.#.##...##.##......##.##..#..##...##..###.#####..#.##....##.##.##.#..##..#..######
#..##.##.###.#..#####.##.#...####...#.#..##..##.######...##...##.##.#.##...##...#.###.#.####.##.#####.##.#.##..##..#.#.#######..##.#.##..##.....#####....##.#.#.##...#...#.#..#....####.#.#.##..##.####.##..##.##.#..##.##..##.#.....##..#.#.######.#.#.....##.##.#.##......#.##....#.##......##..#...###.#####.####..##...##..#..#.#.##.#######...#....#######..##.#.###.######.#.#.#.##.##.##..#.#....##.######...##.#.##.#..##.....###.##..##.#.###...##...####.####..##..##.##....###.##..##......###.##.##.#..#
#.##..####...#.##.....#....###..###.....####.....#.#.###.#..#.##....#.####..###.#.#.#.....#####.#.##..#.....##..##.#...##.##.##.#..#..##.#####.###..####.##.....####.###...##.#.####........###.....##...##.##.#..#.##...##.##.#####.###.....#..##....####.###..#.#.##.############....##.###..##.#.###.....###....##.####..##.#.##.####.#.##.####.#.##....###..#####.##..#.#.#........##.##.###.....####..#.#.##.###..#.#....###.#####...###..#.###.#.######.#.#..#.#..##..##...##.###.#.##.###.##.###.#.##....#.##
#..##.#.#..###.######.####.#.#.##.#########..#.#...#.#...##.#######.#.#.#..##.......##.#.##.#.#.#.###.###.#####.##.##.###.#..##.##.#.##..#..#..#.##..#.#.##.#.#....#.....###..#.#..##.#.###.#.#.########.##..#.##.#....###......#....#.####.##.######.#.##...##.#.#.##.#.###.#.##.##.###..#.####..#.#.##.####.####.#..#.##.##....#...##..#..#.#.##.#.#####.#.##..##....##...#.##.##.##.#.......##.#####.##.#.#.##...##.#.##.#.#.#..##.###..###.#.###...#.#.#..#.##...##..##..#.###..#.#...##...###....#.#....####..#
##....#.##..##.#.#.......#.#.#..#.##...#.#..##.###.....#.....##.#...#...##..#######.####...............#..##.#..#.....#.#.##..........##.##.##.#.###...#..########.#####.....##.##.##.#####.#.#....##.##..##.#......###########.##.#........#...##.#....##.###..#.#.##.........##......##....####.#.#.##..##...#...##.......##.###.#..##.#.##.#..#.#...#.###..#.######.##.#.#.##..########.#.###....#.#.##.#.#..#.###.....###.#.#.###.##..##.#.....##.##.#.##.#.##.###..##..##.#.##.#.#.####.####..####...####.###.#
#..##...#..##..#.#.#.#.#...#.##...###.##...###########.#.###.##.###.#.###..##.##.#..#.################.##.##.##.#####.....##.##.#.###.##.##.#..#.#.###...###.#.##..##....#.#..#.#..######.#.#.#.#####..##.##.##.###...##.##......#.##.####.##.###..####..#.#.##.#...##.#######.####.#####.##.#....#.#.##.#####.##.####.###.##...##.####.....#.##.#.#.###..##.##.#.##...#..###.##.###...#####.#.#.####.#.#......##...####.###....#.....##.##....#####..##.#.#..#.##..###..##.#.......#.#..#.#.#.#..###...#..###.#...#
#.#####.#.####.#.#########.#..#.###...#..#.##.....####.#.#....#.#.#...#.##.#...#.##.....##..###...###...........###.#.#.#....##.#.###.#...#...##.#.#.##.##...#.#..##..#.#####.#.#.##.##.#.#.#.#.#.#.#.##..##.######.#..#.#######.#######........##....##.#...##.#.###...###.####.......#...#.####......#.##..#.#....####......###...##..##.##......#.#.#.##........###.##.##..#....#.###.##......#.#......#.#####.###....##..##.#.##.###..###.###..##.#..#.##.#.##.##.#.##..#.##.####.#.##.#...#.###..#.#.##.#...###
#.##.......##..#.##.#.#.#..##.....###.####..#####....######.#.#.#.###.#.#..###...######.#..##.###.#...#.#.####.##...###.##.######.#...###.#.###..#....#..###.#.##..##.###.......#..#.#............#.#..##.##..##....##....##...#..#..#.###.#.#######.##..#.####.#.....#.......#####.####.#####.#######.#.###.#.#.####.#######.####.####..#####.###.#........#.######...#...##...####.##..####.####...########.##....####.######.#.####.#.##.....##.#..##...##.#.##.##......##.####..#....#.###.......####......#...#
###..##.##.###.#........##..#####..#..##...##...####.##.#.###.....#.#.#.#.##...#......#.##.#...#..###########.....#..#########.######.#...#...##.####.##.#......#.############.##.##.#####.####.###.#.###.###..##.############.##.##.....#.###...##..##.##..##....######.######.##..###..#.##...#.##.#.#.#.#.#.#..##...#.#.#..#.##.##.##..########.#.##########..#.###.#.#.##.#..#.#..##..#...#.###.##.#.#.#..##.####....#.##.#.#..##.....###.###..##..###.##...##.#####.###....##.##.####...###.#####.####.####.###
#######.#..#.#.########..#.##.#.##.#.#######..#............#..###.....#.#..##########...#....#...##......##.########..###.#......##.#.###.#.###..#.##.##.######.#.#.###...........##..##.#.####.##....#....##.###....##.###.##.#...#####.#...###.###.##.###....#####.#####.#..#.#..##.##.#..###..........#.#.#.#.#####.#.#.##.#.#..##..##..##.##.....#..#.###...##.##..#.######.##.#.####.###....##.##.#...##..#...#####.#.##.#.#.#####.####....##.###......##.##..#.##....##.####..#.#.##.####..........##....###.#
#..#....##......#.###.##...##.#.......##..############.###.#######.##.#.#.###...#...#.#...#.###.########......#...##.##...####.#.............##.##..#..#............#.###########.##.##..###....#####.#.####...#..##....#.#.#..##.###.#....###.#.#.#.##.#.###.##.##...#.##...##.##..#.##...##.########.###.#.....##....#.#.##.#.#.####.##.###.######...##.#.###.##..##....##.#.....#.##...#.#.####..##...#.###...#.#..##.#......#..#.#.....##.###..#.######.......##..##.####..#.#.##....#.##.#.#######.#########..#
##.##.#.######.##.#.#....#.#..#######..##..#.##...#..#####.#.##..####.#...#.###.###.#########.#.##.#.#.######.##.##...###....#####.#####.##.##...##.##.##.#.#.#.#.###.#...............##..###.#..##.....#.#..#...########...##.#...#..##.###.#.#.....##...##..#..##.###..#.#..#..##.#..###..#.##..##.#...#.####.####.#........#....##.......#..###...###.....#..###.#####..#.##.####.##.#...#....##....#####...######.#..#.##.#...##.#.######.#.##...#..######.######.#..##.##...#....####.##.#.##########..##....##
#..######.#....##.#.######...##.......##..##....#...##.....#.###.##.#.##.##..##.#....##..#.##...##...#.##.#.#.#...#.########.##..####....#...##.###.##..#########.#.#.#.#############..##..#####.######.....####...##.#.##.##..###.##.....#....#####..#.#####.#.##....#.#####...##....##.##....##..#.#.###.#.#..#.#####.#.###.#.########.####.##.###.#.##.####.##.#..##.#.##.#..#.#...#####.#.####..##..#.####..#.##....##..####.##..#..###...#..##.##.##..###.#.#.#..##..#.####...##..##..............#.#.###.#####
##..##.#..####..#.#....####.#########.###..#.##.###..##.##.#.#.#.#....##..#.##..##.#..##....###..#.#...##.....###.#..##..#....##.##.####.###.##.##...##..#.###.#......####.#.#.#......##..##.#....###.###.###########.#..#..##.##.....###.#.####.#.##.#..##.#.#.##.####..##.###..##.####....######.........#.#.##...########........##....##..#..##........##...#.##.##....#.#.##.##.###..#.....##.######..##..##.###.#..#####.#..##.#.##.###...##..#...##.#.#.....##....##.#.#..#.###.#..##.#.##.##.###.#.##...##.#
#..###.##.#.###...####.........##..#...#..#######.#.#####..#.#.#.##.####.##.###..####.##.##.#.#.######.######.##..##..##.####.##.#..#.####.#.....##.##..##..#..##.###.##.........#.##.##.##..###.##........###.###....##...##..##.#####...#....#.#....#.##..#.#.##.#.#..##..##..##...#.#.##.#.######.#######....###..#.#.#.####.########.####.#.##..###########......###.#.....##.##.#.##.#.#####...#.##..##..###...###.####.....##........####.###.#.####.#.#.########.###.#.#.####.####..#########........##.###.#
##.....#.....##.###..######.######...#.#.##.##.#....#..###...#.#.#..##.#.##...##.##.#.####..#.#...#.##..##....###....###.#.......##.....#..##.#####.###..##.##..#...######.#########.....#..##...#########..#..#.####..###..##..#########.#.####.####...###.#.#.#......####.###.####......#....##.......##.####.#...##.#.#..#.#..#.##..#..#.#...###..###.##...###.#.##.####.####..##.#.##.#..##...#....##..##.##..#.#....#.###.#..#.#.###.##........#.#.#..#.#...##.......#.#.#...##..#.#.###....#.##.##.####..#.#.#
######.####.##...#..####.......#.#.#.#...#..##.####...##.##.##.#.##..#...####....##.#.#.###.#.##.##....######.#.####.##..#####.########.##.##.##.#....##.#..###.#.####.#####.##.#..#####.##.####...##.#.##.##.##..##..##.##.###..##.......#.##.#...##.#..#..#.#.#.######.##...#..##..####.#.##..####.#####.#.#..##.##..#.##.#...##..##.##...#.###.#.##...#..###.###.##..##..#..#.###...##.##.##.##########.##.##.######.##..####.####.#.###########.#.#.##.#...####.##.##...#...#####.........##...########.##.#...#
#..##........###.##.##...##.####.#####.#...##...##..###..##.#.......##.#.#..##.#.##.#.#...........####.##.....#.##....##.......##...#............##.####...##.#.#.##.#.#.....#....##.##......##..###.......#...#.####.##.#...#..####.####.#.##.##.######.##.#...#.....##..###...##..##.########.##.#..##.#.#.##.#...##.#.##.###..##.....#.#...##..#..###.#.##.#..#..###..##.#.##.#.##.##...#.##...###.#.#..#...#.#.##...##.##.##..##..#..#..##........#.#....####.######..#.#.###.##..##.####.######.#.##.#.##...#.#
#.##..#.####...#.#..######...##..##.######.####..##.#.##....#######..#.####..###.##...#.###.#.#.#....#.###.##....####.########..###.####.##.#.##.#..#.#..#......#..#...##.##.#.####..####.#.####...#######...###.##...##.###...##..#.##.....##......##...##.##.##.###.##.##.###..##..#.#.#.#..#.##.##..#.#.#.#..##.##..#.#..#...#####.#######.###...###....##.#.##.##.##.##.#.#....##..###...#..###...#.##.#.###.#..###.##.##.#..##..##.##.##..######.#.#.######...#...####.#.#...##.######.###.#.#.......#..##.##.#
#.###.########.#.##..##.#..#.##.##...##.##.#..##....#.#####.##..#.##.#..##..###..####.#########.####...#.######.##..#.#.#....##.##..#..######.#..##...####.##.#.#.##.######.....#.##.#.####.##...#.###..##.####...###.##...###.##.####..###.#..######..#.....#.....#####..#.##..##..##.#.#.#.####.....##.#...#.###..##.#.##.###...#.#.#.##....#.##.###..#####.#.#..##.##.##.#.#.######.#.###.#.#####.##.#..#..##.#.##...##.#..##..##.##....#####......#.#.#.#..##.##.####...#...#.##..##..#..##.#.#.#######.##...###
#...#.#.....##.#.###.#..#.####...###.#..#..##.#####....##...###......#.####.#.##..###.##...######....#...##.#....##...#.####.#..###.#.##..######....#..##..####.......#.##..#.#...##.....#...##.####.##.....#.#.###...##.#...#..#...#######.#.##..##########.###.###.#.##.#.#..####..#...#.#..##..###..#.##.##.#.#.##..#.##.##..###.#.#..####.#.##.#.##..##.#.....##..##.##.#....##..#.#.##.....#.##.##.##.#.##..#.####.#..##.#..##...##.###.##..####.#.#.#.#.###.##..#.###.#.######.####.#.##......#...###..#.#####
#.#########.#....#.#.##.#.#.##.#.##..##.##..#.#.######..###.....####....##....#..##.#.####..#...#######.###.####..###....##..##.#.#...###.#.##.#######.#####.####.#####....######.######.##.##..#.#...##.#.##....##.########.##.#.###..##.#.#..##.#.#..###...#.#.#.....##.....##..##...###.#.######.##.#.#..##.#.#..##.#.#...##..##...#.##......##...#..###.#.#######.##..#.#.######.#.#..##.####.##....##.#..##.#.#.#..##.##...##..####.#.#..#.###.#.#...#........##.#.#........#.#.#.#.......##.###.###.#.##.....#
#.##.#.##.#.####...#.#......##.#####.......##.#...#....##.############.##..##.##........###.#.###.###.#.##.......##.###.####..#.#...###.#.#.#..#..##.#.#..##.#.##...########................###.#.##.#####.##.#####.##.##.#.....#.##..##......##..#.#.##.###.#...#.#######.#####.#####..##.#....##..##...##.##.#.#.###.#.##.##..#####....##.#.#.##.###.##.#.#....#.#.....##.#..##.#....#.##..##.#.##.#####.##..#...#.##.##..###..##.#.#..#.#.##.#...#...#...####.###....###.######...#.##.#.#.######...##...##.#####
#.##........##.#.#.....####..#..##.#.#.###....###.####.#...##..##..##...####...#####.##..#....#.#.#......#######.#..###.##.##.#.##.###..#.#.##.##.#....##.##.#..#.###.#.###..#.##.#.#######.#.#.#.#...##...##..#.#...#.##.#####...##.##..#.######.#.#.##.###...###...#..##.#.......###.##..#.#####.##..###..#......##.....#..##..##...#########..#.#.#..#.#.##.###.#####.#..#.##..####....#.##..#.##...##..##.##.###.#...#.##.##.##.#.#.##.#.######...####.#######...##..##....#####......######.#.###....####...#.#
#.#..######.#..#####.#.#####...##..#######.##.#.#........#..#.####....#..##..####.######.#.####...######..###.#..##.#.#.##.........#.##.#.#.#..#..####.#..#..##.#...#.#.#.####.#..#.#..##...........######.##.##.#.###..#.##..##.##..##.##..#.##..#...##.#.###.#.#.###.##..#.#######.#.##.##...##...##...##.##.######.#.#.#.##..#####...##.#####.#.#.#.##...##.#.#.###.....##..##.#.#..####..##....##.####.##.....##.##.##.##.#..##.#.........##.####....####...########.#..####.##..#.#.###.#.#.......####....###.#
#...##.##...##..#..#####.....#####.###.....#....########.##.#.##.###.##.####.##.#...##........###.##...##.....##.........#####.#.#..........##.##.#.#....##.##....###...#.#.##########....##.#.#.#.##.#.#..##..#.#.#.##.#..##..#.###.######....##.###.##.#.##..#.#.##...##.#.#.#.##....##..##.#####.#..###..##....#.#####...##.##..###.##...#.##.....#....###......#.#.###.#..##..#.#.####..##..####..#.#...#.######.......##.##.##.#.#####.####.#.#..######..###.#.##...##.........####.........########.###.###..#
##.##..#..#.###...##..####.#...##..#.###.####.#.....######..#.#..#.####..#.#.##.#.########.####.#.#..#.######..###.#.###.#.#.#.#.#.##.###.#....##.#.#.##.##.#####...#.#...#..##.#..#.####.#..###.#..#.#.##..##.#.#.#..#.#.####.#.#.#..##..##.#..#.##...#.#..##......##.##........#####.##.##...##.....##.#.####.###.##.####.#...##..##.#..###.##.#####.#.#####.#####.####..##....##....#.##..##.##...##...###.#.##.#######.##.##..........###....#.##.##...##.#.#.#.####.#..###.#.#.#.##.#.####.##..#.#.#..#....#.##
#..###.#.##.#.###..##......#.#..##...#.###..###.#.#.....###.#.##.#.##...##......#.#..#.#.#.#..#.#.#.####.##.##..########...#.#######..##..##.#......###......#.#..###.###...##..##....###.##.#...##.....###.#..#.#...##.#..##....#.#.###.######....###...#.######.###...###.######...#.##..###..####.##....##...##..##..###.##.####.##...##.#.#........####.#.....##.##.##.###.###..####.##.##...###..###.#.....##.#.#.#.#....####.#############....#..##.##....#.#..##..#.##########..#.#.########.#...##.#.####..#
####.#.####.#.#.##..#.#.#######..###....###.##..#######............####..######.....##...#.##.#.#.#..##...#....##.#.##...#.#..##.....######..######...##.#.#...##.#.#######..#.##..##......#.#.#..##.#.##...##...#.####.##.#####.....#.#.#....#.####.###....#.##....#.####.....#.#.#....##.##..##....#..##..###..##.##.##...#....##..###.##.....##.##.###.#.###.#.#..#.....#.#...##..##..##.##.###.##..##.#.######...#.#...####.....#...##..##.####...##..#####...##..##......##..###.######...##.....####....###.##
#.#.....#.....#.##.######.#..##.##.#.####.#.###.##....#######.####...##.##.#.#..########........#.##.##.#.####.##....##.##.#.#################......###..#.##.##.....##.####.#..########.#############..###.#..###..#.#.##..#.#..###.#.#.####.#.##....#####.#..##.###..##..##.##.#.####.##..##.#####.#.######.#.###.##..#.#.#.####..##...#####.###.#####.....##.####.#####...#.###..##..###....##..##.##......##.#.###.###..##..#.#...###..##..#..###.##.##.##..####.##..####.##.##.#.#.#.#..#####.##..#.#.####.#..#
#.#####.#####.#.##.#.#.#....##..##.#.#.##....########.....#....#####.#.....#.##...#############.#.##.####.#.....###.###.#....#.#.#..#.##...##..####.#.##.###..##.#.###..#.##...##.#.#..####.#.#.##.###.##...##.#.##.#.#..##...####.......###.....#.##.#.#...##.#...##.####..####.#####.....###..##.#.#.#..###.#.#.#....####.#.##.##..###...##....###.##..##.###..##..##.#..#...#.##..##.#.#.####..##...#.#######...###...#.########.###.##..##.##.#...##.##.###.#.#..###...####...#.....#.##...#.#.#####..........##
#..##.#...#.....#..#.#.##.#..##.##......###.##.##.#.#####.######.#...#####...#..###.##.....##.#.#.##..##..#####.#.#.#.######.#.#.##.#.#..####.###......####..##..###.##....#.#..#.#.#.##..#...#.##.....####.#....##.#...####.########.####.##.##.#..###.###.##.#.###...#.##..#.#..##...#####.##.##.#.#...##.#.#.#.#.##..##....##..#.##...#####.####...#####.#.##..##.##.##.###....#.##..#......#.#####...#...#.###...###....#.##.##..##..#.##..##.###....##..##.#.#.##...###.##.#...#####..#.###.#.....###.#########
#.##..#.#...###...##.#.#####.....#####.##....#..#.#...##...##....###.##.#..#...###..######........##.##..##.#.#.....#.###........#....##..#.###.####.#..#.##..##.##..#####.####.#.#....##.###.#..#####..##..#.#####.#.###.##.##..##.....##..#.#..#.###..##..#.....###.##.##.##.#.#####..###..#..##.#.#.###......#.#####..###.##..##....####.#.......###.##..#.#..##..##.#######.###..##.#.######..##.###.#.###.#.#.###.##.###.##.#..##..##.#..###.#...#.##..##....#.##.###.#.##.#.####..##.#...#.#.#####........#..#
#.##.#####.##.###.##.#....######.##.##.#####...##.###.####.#####.#...#....####.....##.#....#.####.##..##.##...##.##.......#.####.####..#.##.##....#####...##.##...##.#.##..##.#.#.###.##..#.#.#.##.#...####....##.#.#..##.#..##.######.##..#####...#.##..##.###.###.#.#..##.##.#..##...##.##...##..#...##..#.#.##..#####..#...##.##.######..#.###.###....##.#.##..##..#.#.##.#..#.##.#........###..#.#......##.#.#.##......##....##.#..###...###....#.#####.##.##.#.##.....#.####.#..##......#.#.#...#.##.###.###.##
#.#...##.####.##..##.#.####...##.##.#...#..###.#...##..#....##.#.###.####.#....##.###.########....##.###.##.#..#######.#.#####.#.#..##...##..####...#.###.....#.###....###.#........#..##..........###.######.##....##..#.##.##..##....###..##.###.#..##..#.#.#.###...#.###..#.#.####.###..###..##.###..#.########..##.##.##.##...#...#..##.#...###...####..#.##.####.#.#.#..#.##.##...########.##.#.######..#.#....#####.###.#####...##.#.###.###.##..#.#...###.......#####..##..#.###.######.#...###.##.#.####...#
#.#.###..##....##.##...#..##.##..##...#...##.#.###..##.###.##..#.#....########.####.#.#.##..#####..#.##..####.##....#######......#.#####.##.##.##.###.#.###.#....####.##.....#.##.#.##.####.#####.##.#..##....####.##..##..#..##.#####.#...##...#....##..##.#.....###.#.#...##.#..##....##.#.##.##.#.##.#..###...##.#..##.......###.###.##....####..#.#.###.#.##..##......##.#..#....#####..#.#.#....###..##.#...####...#..#..#.#.###........#..####..##.###...#.###.#####...##..##.#......######.##.#.#..#..#.###.#
#...##..#####.##...###...##...##.#..###.###..#.####.#.......##.#.##.###.##......##.......##.#..###....##.#.#..####.##.#.#.##.###.#.#.#....#.........#.#.######.#..#....#####.####.#.......####.........##..##....#..##..##.##.##..#.##.###..###.#.##..##..#.##.####.#.....#.##...####.####.#.##.##.#.##.#.##.##.##....#####.#.#......##..##.####.####.#..##.#..##..##.######...##.######...##.#.##.#.#...##....####.###.#.##.##.#.#...########.##.#..##...##.#######.#.#.#.#####......##.#.#.##.#..#.#.#.##.##.#...#
#.#####..##.#.#..#.#.###.###.###.##.#.....##.#.#.#..######.##.......#.#..######..#######....##...####.##.#.##..##..##.#....####......####.######.####...#..######.#.#####.#####...####.#####.#########.#########.#.###.###..#..##.#.##.#...##...#####..##.#.#..##.....##.#####.###.##..##..#.#...#.#.#.....#.##..####..##.#####.##.#####..#...#...##..##.#....##..##..#.#..###.##....#.###..#.#..#.#####..##.####.#.##....##..#.#.###....##..#.##.##.##.###...##.......#.#.###.###.#########.##...##...#.##..#.###.#
#..#.#..##....#.####.##.......#..########.#......##.##.#......#.###.....##.#..#.##...######.#..#....#.##.#.#..####.##.###.###.#.#.##.##.....###...#####.##..#........#.#....#.#####.##...##..#.##......#..##...#.....#.#.##.##.##...##.#.######.##..#.##..#.#.####.#######.##...##.##.###.##.###...#.####.##.##.##....##...#.#...#####.##.#.###.#####..#.##.#####.#..##.##.##..#..####.#...##.#.##..##.##.##..#...#.#####.##.##.#.##..####..##.#..##.##..##.#..####.#.##.....#.#...####.#.#...##.##..###..##....##.#
##...##..####.#..##..########.##...##.###.#####.##..##...#.#.##.#...##.##..##.#.####...###....#####...##.#.#.###....#.#.#.##....#.#...####.##.##.##.#.#.###.#####.####.####.....##..#..#.###.#.###.###...#####.##.####.#.##.....##.###.....##.#.###...##.##...#.#..##.#.##..#.#....##.##..##.#.##.##.#.#..#..##..####.##.###...#..##.#.##........#.##.##.##.##.#..#.##...#.##.##.##.##.###.#....##.##...#..##.#.###..##....#.##....##.#.###..#.#.##..##.######.#.####.##.#####...#....#.#.##.##...##.#...##..#####.#
####..##.#.#..#.###.##.....#..####..#.#.#.###....##..#########..#.#.#...##.......#.##.##...#.##...###..#.#.#...####.#.#.#..###.##.#.#............#......#.#..........#..##..#.#..##.##.#.#...#.#.###.#.#..#.#...#..##..#..####.##..##..#####....#.###.#...###.#.#.##.....##.###.####...#.###...##.#....##.#.###.##.......#.##.##.###......#.#.####.##.##.#...#.##.#.####.#.##.#......#.##..##.###...###.#.##......##..####....##.###......##.#.#.##.##...#.#.....#.#.......#.#.#####.##.........#.##...#####.#.#.#.#
#..#.##....##.#.#.#..#####.##.#..##.#.....#.##.####.##.##..###.########.###.####.#.....##.##..###...##.....#.####.#...#.#.###########.#.##.#####.######.#.######.#####.#########....##.#####...#.###.####.#.###.#.####.#.##.....##.###..##.####....##...###..........##.##...#.....##.##...##.###...#####.#.#.#.####.###.#.#####.#.#.############..#..##...###.#....#.#..#.##...##.###..##.#...#..#.#.#.#.####.####..##....#####..##.#######.#.#.##..###...##.##...##.####......#..####.###.#.#####..###..##.#.....#
##.#.###.#..#.#...#.##.##.....##.##.#####.......##..#..##.##.###.#.#.##.#.###....#.##########.#####....###.#.#.#..###......#.##..#.#..######.......#.#..#.##.#....##.#..##.#.##..##.....##.##.##.#....#...#.#.#.#..##..#.######.##..##.##..#.###.#..###...####.###.#########.#.######..##.##......#####...#...#...##.##..#.#.##....#...#.#.#.#..##...#####.#.#.#.####...##.####..#.....##....###.####......##...##..#####.##.#.##......#.##.......#.##...#..####.###...#####.##...####..########.###.####..#...##.##
#....#...##...###...#..######.##....##..#######.###.#.##..##..##........#.#...##....##..##..###.#.##.###.......##.#.######.#..##.....####.########...##......###.###.#.##..#..########.##..#..##.####.##.##.#.#.##..##.#.#..#.#.###.#...##.#..#####..#..####.#####.##..##.#..#.#.#.#..###..##.#.#####.###...#...######..##.#.#..#.##.###...#...##..####.##...#...##.##.###.#.##.############.#.#.#.###.##.##..####.##.....##....###.####..#.##.####.##.###.###.#..####...###########.#.##..#.#.#.#.#.#.###...#..####
####.########.#####.##..#.#......##..#.###...##.#.#.#.###..##.#########.#.########.##..####.##.....########.#####.#.#...##.#.#######.##....##.#.####.##.####.##....#.#..##.##.#.#.#.##..##.##.##.##......##.#...##.##..#.##.....#.#...###..##.#.#.##.##..##..##..#..#.###.##.#.......##.#.##..###...#..######.#..######.##.#...#####.#.###...###..##.#...###...###..#..#.#...##..##.#..#.#.......#..####...##..#.#.######.##.#####...###.####..##...##.#.####..##.#.#..#.....#.#.##..#.#..##.#.#.#.#.....#.####..#.#
#..#..###.......###.#..##.##########...#.###...........##.##....##.##.#.#.#..#.###..##..##...#####..##.#.....##.....###.#......###########..#.#.#.....#####.....####.#.##.......#.#.##.##..#..##..######.##.##.##...##....#####.#.#.###.##..#.#....#.###..##..##.#.##..#..##.#.#######.....##..####...##..##..##..##.#.....##.##...#....##.####..##..###.#.###...##.#.##.###.##.##....##.##.#.####.##.#..#####.#.#..#.#.......#.#..###....##..###.###.....##..##..#.##.##.####.#..##.#.#.###.#.#.#.#.#.#...#####...#
##.##...##.###.##...##.##.#....##.####.#.##..#.#.#.#.#....###.###.......#.##.#.#.#.####..#.########......##.###.#.#.....###.####....#.##.##.....#####.##..#####...##.#.##.#####.#.#....###...##..##............##.###..####..#.......##..##...####.....##..##.##.#..##...##.......##.#####.###..#.#.####.########....##.####...###.#.##..#..#.#.##..####.#.##..#.#..#.#..##..##.###.####..###.##........##.........##.######.##.#.##.##.#####.##..#.#.#####..####.#.#...###.#....##..#...#.#.#.#.#.#.####.##.##..#.#
#.....######.#.##.#.##..#.##.###....##....###############...#...###.#.#....#.#......####....##......######....#########.##..#..##.#.........#.#..###...##.#.#.###.##.#.####.##....##.#.#.###..##..###.#.######.##..#..##..##.#.#.#.#..##....###.######.###..#.##.#.####.####.######...##.#...##.#.#.##.#.##.##.####.##.....#.#..#..#####.#.##...###..#.#...##.#####...#.###.##...#...#.#.###...##.#############.####....#.##..#....#.##...##...##.#.#.....##.#.#......###.....#####.##.###.#.#.#........#.##.##.####
#####.##.##....####..##.#.#....####....##.##....#.#.#.....#...###.########.#.####.#..######..##.###########.#.######.##.###.#.##..#######.###.##.....#.#...............#.#...####.####.#.#.##.#..##.#.#####.....##...##..##..#######.####.#####.#.###....##.#.##....##...##...###.##.##....###..#.#..#.#....#...##...###.######...##..#.....##.##...##.##.##..#.##..###.#.#.####...###.#.##..###...#.#.#.#..##.....####......##.####..##.####.##..#.#.#####....####.###.####.##.#.#.....##.#.#.#.####.#.#.#...#....#
###...##.#####...##.##..#.##.###....##.#.....##...#.###.#.###.##...#.##......#..####..##.#..#####..##.......###.#.#............####.##....#######.#.##...#.##.#.#####.##.###..###.#.#....#.##...##..###.....#.#....#####.#..###..##...##....#.#...#.####......##.######.##..###.#.##..#.####.##.#...##.####...######.#.....##.#.#####.#####.##..##.##..##..##......####.#...#.##.###.#.#..##..##.###...#.##..##.####.#######..#.##.##....##....##.#.#...#.##.#####...##..#.#.#....##.####..........######.##.#######
#.##.##..#.##..#.....##.#.#..#.####.##.##.#.#####.....#######..###....#.####.#.###.#.##..#.##..##.##..##.##..#..#.############..##..#####...###.###.####.#.#..#.##.....#.##..##.....####.#..###..##.##..#.###.#.##.##......##...##..#####.###.###.#.#.#######.##...##.#.##.###.....##.....#..##.#.###.....#.###.#....#.######...#.##..##.....##..#.###.##.###.#.#####.#.##.##......#.#.#.####.##.#.#.###.##.###.#.##.#.....##.#.....##.#####.###..#...#...##..##.##.####.#.#.#.####...####.#####.#....#####..#.#.#.#
#..#.###.#..##.####.###...##.#.#.....#..######.#####.##..#..#.##.####.#####....##.....##.#.###.#...#########...##.##..#.##...##.##.##.#######.#.#####..######.#.#..###...#..#######.##.....##.#.##...##.#########...######..##.####.#.#.#..##...#.....#..#.##..##.###...##...#.########.###.###.....#.#.#.......####...#....##.##.##.####.##.##.##..##.#....###..#.#....##..#.####.......#.##.##.#.#..##....##.....#.#.###..#.###.###..#.#.#.#.##...####.####.#..#...##.........##..###.#....#####.####...##.......#
##.........######.....###.#....###.######..##....###..##.##....#.##.#.###.####.#..###....#..##...###.#.##.#..###...##.#..##.##..##..#.#.#.....#.#.##..##################.#.##.#.##..######.##......#.######.##.#..#..##.###.#....##.#...#.#####.#####.##......##...#..###..###.#.###.....##.##..#####.#####.#####.###.##.####..##..#.#######..#..#.##..#.#######.#.#.####..####..####.##...##.##.....#####.####.#.##.###.##....##...##.#.#......###..##..##.#.##.##.##..##.########..##...##.#...####.#.####.#######
###.###.##.##.##..#.###.#.##.#...######.##.#####...#.##...####.#.##............#######.###.#####.#.#.#....#.#####.##....##.....##..##...###.#.....###.##.#.#.#.#......#....##.#..##.........#.#.##.###.#....##.#####.##.#.#.##.####.#.#.#.#.##....##...####.#....###.##.##.##..#...#####.##.###.....####.##.#.##..........#.##..##.#..##.#.##.#.##..##.#...##..#......#.#.##.##.##.##..#####...#.##.######.#.#..###...##.####.###.####.#...#.####...#######.......#..#.###...##..##.##..####...#####....#.#....#...#
#...##..##.....####..##....#.###.##..#.....#.#.###.#..###..#.#.#..##########.#..###.....#...##.......####.#.##.#...####.##.#.#..##..##.##.#######......#.#.#...######.####..#...##..#.##.##.###.#...##.####......#.............#.#..###.#....##.###..###.##.##.#..##.##.##..##.#.###.##..##.#.##.##..##.....#..#########.##..##.#..#.##..#.#.....##.##...#.###.###.####......##.##.#..###..#.#...####.##.#.#.##.##..###...#...##...#.#...######.#.#...##..#######...##...######.###.#..##..#####.#...####.##.###.###
###..##.######.#.##.#####.##.#######.#####.#.........#####.....#.##.#.##.######.#.#####...#..######.##.#.....#.###.##.#..######.##.##..##..#.#....##.#.....###.##.....##.##...#############.#######.....####.#.#...#.#.###.#.#.#.#.##...###.##..##..##.#..###..#.##..##..#.###....#..###.#..#.#...#.####.##.#.##...##....#..##..##.#.##.##.##.#####.####.###.#.#........##.###.....##...##.###.###.#..##...#.##..##.#####...#.####...###....##..#.#.#####..####.###.##.####.#.#.#.#.##..##..#.#....####.#..........#
#.#.##..#...........#.#.#..#.....##..##......#.#.#.#..#.######...#.....#.#.#......#.#####.#####..#.......#.#....##....#.###..##....##.##..##.#############.#.#.#..#.#....####...##.#.#......#..#.##.#.###..#.####.##.#########......###..##.#..##..##..##..#####.###..##.....#.####.##...#.##.#.######.####....###..###.##.####.##.#.#..##..#..##.#..##...##.#.####.##.#####.#####.#..###..##....#...##..#......##......#####.#....###...####..####.##.##.##....##........#.....#.#.#..###.##.#.#####.....####.#####
#....##.######.#.##...#...##.#######..##.##.##.######.#.#.#.####.###.#.....######.#.#.#....##.##.##.#.#########..####.#.#.#.####.###...##.##..####..#........#.#########.#.##.####.#...#.##...##..#.###.##.####.#..#.###..##...###.##.#.###...####..##.##.##.##....##..##.####.##....###.#..#.#..#.#.#.##.####...#.##...##.#.#...#...##..##.##.#..#.#####..#.#.##.#..#.#..##.#.##..#.##.##.#..#.##.############..##.###..###....##.#.###.#..##.#.#.....##..##.#..#.####.###.#####.#.##..#..#......#.#.##########.#.#
##.#######.....######.###.#...##..###.###########.##.............#######.####.#.........####..##..###.###.#..##.##..#........##....#.#....#..##..##.########.#.##..#.###.#.##...#..###.######..##....##..#.###..######.##.######........#.###.##.#.###.#...#.#..#####.###.##.#..##.#.#.#.#.##.#.##.....##....#.###..#.#..#...###.##.###.##.....#.##..#.#..##.#.#..#.####.##..#..##.#.#..##...##.#...#.#.##...#..###.######.####.##.#..##.#.##....#.###..##.#####...##.####....#.#.#.##.##.##.##.#.......##....##.#.#
####..###..#.#.#..........#.###..##.#..##.##..##.....##.#.#.#.#.##..#....##.#.###.#.###..##..###.######...##.#...##...######.#..#########.#.##..##..####.#......##.#.......###.##.##.#.###....#####.###.##.....####.#...#..######.##.##.#.##..##.....#.#.###.##.#...#.##..##.#.#####.#.#....#.#....##.######...#.##.####.#.###.#.#..##...#####......##.##..#.#.##.#..##..###.#.##....#.##..########......###.##..#.....##...######.#.##.....###.##.######.....####.#...#.##.###.#.#...........#####.###..#.####....#
#####.#.####.#.##########.#.#...##..#.###.###.#################..##.####.##.#.#.#####...####.#...##.##..###..##.#######....#.##.#..##.#.....##.##..##......##.####.#######..##..#..#.###.####..##........#####.##.#.###...##...########.#.###..####.##.#.#.#..#.##.##..#.###....#.#..#.##.###.#.#######.##.###.#.##..##..#..##...##..##.##.....#.#####.###.....##.#.##..##.#.#..##.###..##.##.#####.######....##...#####..#....##..#....##.##...##...##.###.###.#..#.###.#....#.....#.#.#####..#.####.####..##..##.#
##.#..#.#.######........#.#.#.#####...##...##.#........#.#...###.##.#.#..##.#...#######.#.#..###.##..##...#.##....##..####........###.###.###...##.#########...##..#...#...####...##.##....###.####.###.##...#..#.#.....#.##.#.#.#..#......#..##....##.....##...##.###...#.#.####.##...##.#.#.#....#.##.##.#......#.####...##..###..##..######.###.#.....#.#.#..#.#.##.##......##...##.##.......#.....##.###.##..###...##.####.###.##.###..####.##.####..##..##.##.#.###...##...#.#.#.####.##.##...##..#.#.##..#####
#..##.#.#...#.#########.#.#....##.###.#..####.#.#.#.##.....#.#........##.##.##.##.#...#...##.###.#..#####....##.###..##..##.##.##.##..##...##.####..##...##..#..##.###.###.#.#..####..####.......#..#...####.##.#.#####.######...##.######.#.#####.##..#######.##...##.#.#...###..###.###.....#.####.##.#..####.#.....###.###.##.##.##.##.###...##...#.########.#......#######.##.###...##.######.#####...##.###..##.###..###....#....#.####....##.#..##.##.##..#..#...##.###.#.#.###.......####.#####......##.##.##
##......###......####...#.#.####........##..#.##########.###.#######.###.##.#...#.###...####.#.#.##..#.#####.#..##..###.##..#####..##..###.#...##..#####..#####.##.#.#.....#.##..##..##....#.###.#.####.#.#..##.#.##.#...##..###.#...####.....##....##.####..#....#..#.###.###.##..##...###.###.###...#.##.#.####.#####.....#..#.#..##.##.#.#.####.#####.##.#.#.#.####..##...#.##...#.####.#..##......###....#.#.###.#.####.####.##.#....######.#....##..##..##.##...####...#.###...##.##.#####..#.##..######......#
######.##.######.#....#...#...#########..##.#.##.##......#..................###.#.#.###...#......###.#.#.#.#.##..##.##..#####.#.##..##.#.....#####..##...##.##...#.#.#####.#.###..##.###########.####.#.#.##..#...##.##.##..##...##.##....#.#..###.##.....##.#.#.###....##..##....##..###....##...#.###.#....#.#......#####...##.##.##..#.#...##.#.##.##.#..#.#.....########.#.##.###.##.#.#.####.#####.####.#.#...#....##...#.#..###.####..##....####..####.##....####...###..##.#..#..#..#..#.##..##.#.#.#..#.##.#
#.......#.##.....########.#.###.#.###...##..#.##.#..#.##.##.#.#.##.##.#.#.#..#....#.#.###.#.####.#............##.##.###..###....##.##..#####..##.#.#####..#.#..#.....##.#........##...##..##.....###....#.###.#.###..#...##.##.#.......######.##.#.##.######.#####.#.#####.######....##.##.###..###.#.#.####.#.#.######...###.##.##..##.#.###.#....##.##.##.#.#.#.###.#.##......#...#.........#.#.#.##...##..#...#.#.#.#####.#.#.####..#.##..##.#..####..##...##.###....###.########.####.##.##.##.##....#...#####.#
#.#####...######.###.#.#....###.#.#.###.###....#.#######..###.#.#..#..#.####...##.......#....#.#####.#.#####.##..##.#.##.#.####....##.##.....###....#.###.#.########.##.########.#..#..##.######.#.##.#....#....#.##.##.##...#####.#######.#.......##.#.###...#.#..#.#.#...#.#.##.##..#.##.##..####.#.#.#.##.#.#..###.###.###.#..#..##.....##.#.#####..#.#..#...###......######...###.######.##...#..##.####.#.#####.###.###...#....##....#.######....##..##.##..#.#.######..##.########......#.#.....####.#.....#.#
#.#...###..##..........###.##.#.#...##..#.##.#...###.#.######.#.##.##.####.#.#.##.#.###.####.#..#.#######.##..##.##.#.##.#...#####.#...#####...###.##.#.....###..........#.##..#.#.######.#.####.#.#######.###.##.#..##..###..#..#####.....##.####....#.#.###.#.##.#.#.#.###.#.######....#....###.#.#...#.#..#.#.##.#..##.#.#.##...######.###....#..##.#.##...###...#.#.##....#.###.#..#..#######...##...#.#.....##...##.#.###.#.#####.####.####.#.####..##...##.#....###.#.###...#.##.###.##.....#.####...#####.###
####.##...####.######.####.##.#.##.####.#..#####...#.#.###....#######.##.....#..#######........##..##.#.#.#..##..#.......###.......#.####....###......####.##.######.#.#.#.###.#.#...#.#.......#.#..##.###.#....#.##..##...##.#.##...##.##..####...####.#..##.#..#.#......#..#.#.#..##.###.####.#.#...###.##.#....#.#.##..#.#.###.##..#.....#.##...##....###.##.##.##.#######.......#.##.##.##.#..#.###.##.####.#####..#...##.....#.#..##.#..##....#.#..###.####...##.........#.###..#..####..########.###....######
##.#..##.##.####.......#.#.##.#..#.##.#...###....#.....#.####.##..#.###..##.#####.......#####.####.#..#.#.##.###.#####.###########....#.####..#######.#.#..##..#.#######.#.#...#...###.#######.#.#.##......#.#.##.##.#####.##.#..###..#####.##...#...#....##..##.#.#.#.####.##.#.##.##..##........#.#..#..##.#.####.#..##...#.#.#..##.#####.#.###.######.#.#..#..#.########.###.#####..#.#...#.##.###.#.#..#.#....##..##.#..####.##...###...##..####.#.##....##..######.#######.##..##.##.######...#.#.##..##.#.##.#
#..##.#...#.#.###.#.##.#...##.#.##.##...###.##########....##..###.......##..##....###.#####.#.#.##.##.#...##.#...##..#..##.##.#######....##..##.##.#..#.##.##.##...........###...###...##..#........######.###.#..#..#.#......#.####.###.##.########.#.######.##.#...#####..#..#.#...#.##..####.#.#.##.##....#...##...#####.#.#.#.##..#..##...#.#######..#.##.#.##.#.##.##...##.##.#..##...#.#.##..##.#.#.##...######.##.####.#...###.#.###.##.##.#..#.#..#.###.###.######..#.#..##..#.##..###.#.###.#..#.#####.#..#
##.#..###.#.#.#...#.#....#.......#..##.##...###.#.#....#####.##.#.#.#.#.##.#####.##...#.......#.##.##.###.#..###.###...##.............##..##..#.##.##.#....##..###.#######.#.#.#..##.#####.###.####.#.#.....##.##.#.##.#####.##..#.#..#...#..#.##..#.#..##.##.#..###..##.##.#.##.###.#..##..#########...##.###.######.#.#.....#.#..##.##..##.##..####.##.#.##...........###.##..#....###.#####.##.###...#....###.##.......##....###...#.##..##.##...##.####.##..#..........##...###.##.#..##.#.#...#.#.##.##.##...##
##.##..#....#.########.####.###.##.##..####.#.#.#.####...#.####...#.###.##.#.###.####.#######..........##.##.##....###.#####.##.#########..##.#.##.#..####.#..######.......#.####..#...##..#.###....#.###.#.......#..#.##.....##.#.##.###.##.#..##.#...##..##...###..###..#.#.##..##.#.##..##.##.#.#..####..##..##....#.####.##...##..##.##..###..##.......###.#####.####...###.#.####...##.##.#....###.#.##......###.#########.#.###.#.##.##...##.##...###.###...###.#.#######...#....#.###.#.###.#.#.......##.####
#..###.####.#....#.#...#..####..##..##.#.##........##..###.##.########..####.#...#.####.......##.#.###........####.#.#..#.#######.........##..#.##.##......##.....########.#.##.##...#####.#.######.#.#######.###...##..####.##..#.#..##.....##.##.#.#####..##.##.#.##.##...#.##.##..#.#..##..##...##.##.#.####..####.#.#.##....#..##.##.###..#..#######.###.#.....####.###.#.#...######..#......####......#.##.#..##....#.##.#.#.##..#..#..##.##..##.#.#.#.#...#####.####.##.#.###.####...#.#.##......##.####..##.#
##.#...#.##.#.####.######.##.##..##.#.....###.########.##..##.##..##...##......#.#...###.#.#.##..#.#########.###.....##....########.#####..##.#.##..######.##.#####...........#..###...##..#.#.###....#.#...###...#####..##..###.#.##.######.##.##.#..##.##..........#.####...##..##.....####.#..###..##.#..##..##......#..##.######..##..##.##.##.#.....#.#.#.#######...##...###....##..##.######..##.##.##########..####.#..#.#.###...##.##...##..#.###.#.###.....#..##..##.#..........###....##.#.#.####.##.##..#
#..###.#.#..#..###........#.....##..#####..##.#.#.##.#.##.##..##.#####..#####.######.....#.#.#..##.#.....#.#...#####..####.#.##..#####.#..##.......####.#...#.....#######.###.##.#.#.#####.#.#.#.####.#.##.##...#..##.##.###.#......#.#.#....#.....##.##.#####.###.###..##..###..####.##..##....##.##.##.#.##..########.##......##.##.#..##..#..#..###.#...#.#.####..##.#####..##.####..##...#.#...######.#.##.#.#.##........##.#..##.###...###....##..#..#..##.########..##..#.########..##.####..###.#..........##
##.##....##.#.##.########.#####.#..##.###.##..#...##.#.##.###....##..#.##.######.....##.####.##..#.#####.....###...##.#.##.#.###.#.#...##.#####.#####...###...#####.##.####........#..#.#....#.#......#.#..#######..#.##..##.####.#.......##.#####.#..##.#.#.###.#.###.##..##.#.##.#...##....#####.##.##.#..##.#.#.##.#.##.#.#.###..#.#.####...##.##.####.##.#....#.##..#.####.#....##.##..###...#...##.....##...#.##.#####.##....##..#.#.####..#.####.##.##..#.###..#.##..##......###.####....#..####...#####.#.###
#.....##....#.#..##.####..##....##.##.#...###.###.##.#.#....##.#..##.####.#..#.####.#####.##########.....#.#...###.#..#..#.#.#.#.#.###.#..#.##......###.##..#..###..........######.##...#.####.######.#.##..#.#####....#.##..##.#######.#.##.......##.##.#.#.##..#.#.#.#..##.......##.###.####.##..##.##.##.#..#.#.#..#.##.#####.##...#.######....##.##...##.#.####.###.#.#.##.##.####.###.#.#.###########.####.##..######..###.###..##....##..####.##.##..##.#.#.#.##..#.####.###.#....#.##.###.##..###....########
##.#.###.##.....##..#..#.######.#..#..###..##.###........########.##..#.#.##....#.###.#....##.....####.#.#####..#..##.##.#.#.#...#.#.#.##...####.#####..######...##.#######.##.#.#..###...###..#.##.#.#.###.#.#.#.##.#.#..##.##.##.#.######..#####....##.#....##.....#.#.####.#######.#.####....##.##..#....##.#.#.##.#.##.......####.#..##..##.###...###........#...##.#.#.##..#..#.....#......#..##.###...##.....####....##.....##.#..####..#####.#.....###........#.##.##.....###.##..........###.########.#.#.##
#..#...#####.##..##.##....##....##.#.##.##....#.########..#...##...##.#.#..####.#.###.####.#..###..##..#.#..###.##.##........###........###.#.#...##.##.#.##.##.#####.##.####..#...##.#.###.##...##.#...#.#.....#.####.##.##..#.#..#.#.#.###.#...####.##.####..#####.#.#.#.##.#.#.#......##..#.##..###.####..#.#.#.#..#.#..#######......####.#..#####..####.######.###..#.#..##.##...#####.######.##..#.###..##.#####.##.#.###.#####.#.###.##..##.#.##.##.#.#.#.######.#...##.#####..###.#.#####..#.....###.....#..#
##.#.###......##.##....##.##.##..#.#.#...####.#.#.##...#.##.#####.##..#.#.###...#.#.#.#.##.#######.########...#.#...########.#.######.#.....#.##.##..##...#..##.##.#..#..#.###...#........#..###.#..##.##.###.###.#.#...#.###...##.....#.#.####.##.#..##.##.#.##.##........#..#...#.##.####.#####.##....#.##.......##.#...##..#..###.##.#.##.##.#.#...##.....###.#.#.##.....##..#..####..#..##.#...#.##.##..###...##...###.#.#..###..#.#.#.##.##..#.####..#.#.#.#####....####..##.##..###########...#.###.###.###.##
#..#...#.##.###.....#.##...#####.....###.##.....#.####....#.#.##..###.#.#.#.###.#.#.#........##..#..#.#.#.###.....####..##.....#....#######....#..#.#####.#.##.....##.##.#..#############.#.###....###.##.......#.#.###.#.#.#.#.#..###......#.#.##.##.##.##.#.##..#####.####.##.#####...##...##.#..####.#..#####.#.#....###..##.##.####.#.#..##.#.###..##.####.#.#.#.##.###..##...##..##.#.###...#.#.##.##.###..######.##......##.##.#.#.#.....##...#.###.#.#.###...##.###..##..#.##.##..##....###.######.#....##..#
##.#.#.######...#.#.#.#..#..#..##.#####..######.#.#.#..##.#.#.##.##.#.#.#.#.##....#.########.###.##........######.###..#######.####.##...#####...##..##.#.#.#####.##...#.##.#.##...#..###.....####.#.#..#######...........#.###.######.##.#.....#................####...#.##.#..#.##..######....##.##...#.##.##..######..#..###.#..##.....##.##.....##.#...#.#.......#######.##.#####.##.#.#.#.#####.##.#....##.#.#.#...#####.###.#........########.#.#.#.#.#..####..#...#.##..##.....#.###.####.######...####....##
####.#####.###.##.#########...##...##.##...###....#.##.####.#.##.##...#.#...#####.#..#..#....#.#.#########.#.##.#.#.##..##...#....#..#.#...#####.##.##.......##.#.##.#......#..###.#.##.####.##.#..#.##..##.#.##.######.#...##...##..#..#######.#########.#.##.#..#.###.#..#.#.##....###.#...#####.####.#.##..##.##.#.#.##.##.#.##..#####.##.#####.##..#.###...#####..##..##.#.....##.#.........#.##.##.##.###..#.#.##.###....##....########.##...#.#.#.......##.##.##.###....####.####.#......#.##.#.###.#.##.#####
#....##.........#.###.......#..#.###..####.#.##.#.......##..#.##..###.....###..##.##.##.####.#...#.#.##................#####.####.##.###.#.......#...######.##..#.#####.###.##.#........##.#.#..##.#....##..#.####..#.#####..##.##..######.##......#.#.####.#####.#.#.#.#.##.#..##.####..###.#.##...##..#..##..#.#..#.#.##..#.#.#..##.##..##..#.#..###.#.#...#.....#.###.###.#.###.##...##.######.##.##....#.#.##........####..####.#.##.#....###.#...###.#####..##.##..#..##.............#.####..........#.#..##.##
#.#.#########.#.###.######.###...#.##.#.#..#....#.#####..##.#.#..##...##.##.##..#.##...........###...###########.#####..##...#.#..##..####.#####...###..#....##....######....#...##.#.#..#.#...##..####..##...#.###....##...##...##.#.##....#.#.##.....#.####.##..#...#.#..#.#.##..##.#.###.....###.###...##..##.##......##.#.#.#.##...##.###.#.##.#.#...#.############...#......#####.#####.#.##..#.#####.#.#..#.####.####.#.###..........#.##...##.###....#.##..#.#..##.##..###.#.#.#.###......#.##.###.#.##.##..#
#.###.........####..#..##..#...#....#...##.###.#####.##.##..#.#.########.##..##...###.##.#.###.#.###.#.#.####....###.#.#####.#.##..##.#..########.##.##.###.###.####.#.#####.###########.#.###....##....#####....####.#####.####..#.#.####.########.##.#..##...##.###.#.##......##.#....#.##.####.....###..##.##..#####.###...#.#.##.###..#.#.#.#..#.#.###.#..#.#.#.#.###.#.###.###.##....##......##....##.....##..#.###.#..#.#.####.##.#########.##..#..####.##.##.#.###.###..##.#.#.######.##.##.####.###.#...#.##
#.#...#########..##.##..#####.###.#.#.###..#.###.#......###.#.#..##..##...##..##.##.########......#..#.#.#..###.##......#.#..#....##....##..............##..#.....##.#...##.....#.##.#.#....#####..####.#.#.#.#.##.##..##....####.#.#..#.#..##.##...#..#.####.##...##.#.###.#####....##.#..#..#.###.#.#...##...#.##.......#.###.#..#.#.##.........##...#.#.#.##.#.#.#.##..#.#.###....##.###..#######.######.#.####....##.#.##....###.####.##..##..###.#.##.##.##..#.#..#....#.###########..#..#.####.....##...#.#..#
###########.####.......##.##..#...#.#.#.##.#..##.######..##.#...####.#..#.#..##..#..##.##.#######.##.#.#.##......#####.##.##.####..####..####.#.#######..##.#.#.###..##.#######.#.##.#...##.#..###..###.#...###.##....######...#......##.##.#...######.#.#.#..####.##...#....#..##.#.#####...##.#...#####..###.#..####.####..##.##.#.#.#####.####..###.#...#..#.#.#.#.###......#####.##...##.....##..#.##...###.#..#####...####.##...#.#...##.#..##.#.#.##.#..#..##.#.##.####......#......##.##.#.####.######.####.#
##..###.......########.....#.######.#.#.#..#.##..#.#.###....#.####.#.##.####.###.#.##...#..#.###..#....#..######.###.#.......##.#.##..##.#.#..####....##.##.###.....##..#.####.......######.##.....##...#.####...####...##.###.##.###.##.##...###..#.#.#.#.#.##.#..####...##...##..###.#####.##.###..#.#..##.#.##.#.##....##.##.##.#.#.#..##.#####.##..#.###.##.#.#.....##.#####.#...##.#####.######.#..###..##.#.##...###.#.##..###...#.####.##.##......#.##.#.##..........#.####...####..#..###..##....#.#...#.#.#
#..##.#######.#.#......###.#####.##.....##.#.###.#.#.#.####...#..#.#.##..#.#.#.#.#.####.##.#...##.####...##.######...#.#.###......##.###.#.####....##........#..#######.#......#.###.#.##.#.######..###....##..#.##...###.......####..##.###.##.##.....#.#.#..#.##.#.###.#########.###..##.#.##.##..##.##.##.#..#.#.##.#####..#.#..#.#...#####...#.###.......##...#.#####..##.##.#.####.#.#.#...##.....##.#.###.#..##.##.#.#.#..##.#.###..#.#.##.#######...##....#.####.########.###....#######...##..####.##.##...#
#.###..###....#.##.###.#....#.#.....#.#............#.#.#.####.#.##...#..##.#........##..##.##.##...#.###.##....#####.########.#.#..#.##....############.####.#.##.##....#.#.#######..#.##.#.#.#..##.#.##.###..#######...###.###.##.##.##..##.##..#####.....##...#..#.#.#.....#.##....#.##..#.#..###.##.#..##.##.#...#..#.##..##.#.##...###.#####.#.#...#.#######.##..#####.##.##......#...#...#..###.###....##..#.##..##...#.#.##..#.....##.#.#....##..#.###..####.####..##.##.....##.####..#.###....####..##.#..###
#.#.#.##.#.##....########.#.....###.##############.#.#.#.#.##.#..###.##.#..##.#.###.###.......####.#.###.###.###......#.#..#######...###.###..#####.######...#..#.##.##########.#.##............##..#.##.#.##..##..#..###.#.#....#.#..#..###..##.......##.###.#...##.#...#####....#.##.###.#.#.##.#.##.##..#.#....###.##.##.##..#.##.###.#.#.##......########.##..#.##..#..##.##.######.###.######.....#.##.###.#..##....###.#..##...######.#.###.####.#.#.#.####.....##.#...#.#.#######.#.##.##..#.###.##......####
#......#.#####.####..##########.##...##............#.#...#.##.#.##...#..##..#.#.#...#.#.#.#.#..##.........#...###.###.#.##.#..######..#..#.#.##..........###...##..#..#.##.#....#....#.#.#.#.##..##.#.##....##..##.##.##..######.#.##...##.##..#####.#.##.#.####.##....#.....##.#####..#.#.#.#.##....#.###.#.###.##....#.#..##.##..#..##...#.##.##.#...##...#.#..##..##...##......##......#.#.##.###.######..##.#.#####.##...#.####.##..#.#.#..##.##.....#........#.#..###.###.###.#.#........##.#####...#####.###.#
#.##.#....#.#...#.#.##.#.#......###########.######.#.###.#.##....###.#.###.##.###.#...########..#########.##.##.####.....#.#.##.##.##.#.##.#.###.####.##.#.###.###...##.##.####.####.#.#.######.##....###.#..#.###..#..#.###.......####.##.##.##.#######.....##...##.###.######.##.###...#.#.#.###.###..##...###.#..####...##...##...####.##.#######.####.###...##..#####..###.#.####.#.###.#..#.##..#.##.#.##..#...##...###...##.#..#.##.#.#.##...##.##.#.##.#.######..........#......########..###.##.##.##..##..#
#.#..####.#.##.##.#........##.#..###.##.#.####.##........#..###.##...#.##...#########..#.#.####.#.#.......##..#.##.#####.#.#.#..#.......#.....#####.####........##.###..##..##.......######.....####.##.####.#.#.##...##.#.#####.#..#....#.#..##.#.##.#..###.#..#######.....#.#.##...###.#.#.#.#.#...#.##..###.#...###.###.##.######...##.#...##..#...#.#..##.#####...##..##.#.####.#.#.#...#.##..#.##..#.#..##.#.###..###.###....#.##.##......###.##.####..#.######.#####.#.##...####........##..#..##.#...##..##.#
####.###........#.#######.##..#.##.........#....#####.##.#.##.#.####.#..#.#..##.##....##.#..##....#######.##.##.#............##.#######.#.#####.##..##.#####.#.##....##.#..##..#.#.####...#.###.#.#..##.##...#.#.#..###..#..#.#####.###.##.#.##..#.##.######.##.#.##..##.####.#.##.###.....#.#.#.#.###.###..##...###...#.#......##.#.####...#####.###.#.#.##..#####.#####.#.....#.#.#.#####.#..##.#.#..##...##..#...##..#..######...##..##.#####.#.##.#.##.##..##.#....###.####.#...###.#########...##....#.##.##..#
#..###.########.#.##.#.#...##.#.#..#######.####.......#.....#.#.#.#....#####.##.#####.#....######.#.#......#.##.#####.#.#.##......#...#.#.#.##..###......#.###.##.#####.##..##.######.###.###.#.#.#.##..####.#.#.##...##.##...#.##....#.##.#..##.#.#..##...#....#..##.#..#..#.#.#....#####...#.#.#..##.#.#.#####..####.#...##.###.....##..#.#.##...#....#..##.#.##....##....#####...#..#.#..#.##....##..##.####.#.####.##.##.#.##.####.##...#.##...##.......##.#....####.####.#####...###..##.#...#####.#####.....##
##.#.......##............####.#######..##.......#.###.#.#.#.......###.#####..##..##.#.###.##.#......#####.##.#..#...#######..####...#.....#..##..#######...##..##...##..#..######.#.#.#.#.##.........##..#.#.#....#.###..##.#....####.#.##.#.##....##.####...##...##..#.##.##.#...####...###...#.##.##.....#.#.##..##..#.######.##.####..####.####...##.#.##..#.###.#####.####.##.###.##.##.#..####.###..#.#.#....##.#..#.##.#..#..##...###......#####.##.#..###.##.......#.#.##.#######..###.###.#.##....##..######
#..##.#.##....#.#.#.##.#..##..#.....##.###.####.#.#...#.####.##.#..##..##.##..#.##........##.######.##....##.##.#.#######...##..######.##...###.##....####.##.###.#####.##.##.##.............##.#.##..##...#.##.#...####.#######...........#.###.###...####.####.####...........####.###.####.##.##.#####.##.#.###..##....#.##..#.....##.#.##..#####.####.##.##.#.#.#.##..................#.#.####..#.#.##.#.##.####.#.##..#.##...#####.#...##.#...##...####..##.##########....#...###.#.###..#.#...#..######...##.#
##.######..#.##.######.#.####.#####........#....#.###.###.....####.###.##.###....###.####.##.##..##.###.#..#........#.#...#.###..#.#.######.#.#..###.##.##....##...##.#.#..##..##.##.#.#.##.###.#.###..###.#.######...##.#.#.#.###.#.#.###.#..#...###.##.####..#...####.##.#.##..#.#.#.#.#.....#..#..##.#.##.#..#..###.####.###.###.#.#.....##.#...#..##...#....#......#.#########.#.###.##.#.##.##.#.#.#..#.##.#..#.#..##...####.####....#..###.#.###.###.##......####.####.###.###.......##...###.##.#.#.##.#....#
#....#....##.#####.#...#.##.###.....##.#.#.####.#.#.....########....#..#..#.####...####...#...##......####...####.###.#######.##.#....#.#.#.#.##.#......#..##.###.###.....####..#############.#####.##.#.#.#.#.#..##.###.#.#.#.###########.##.#.###...##..####...#..##...###.#####.#...#.#####...##.##....##.##.##.##...##..#.#...#.###.#####..###.#.#####...####.######.##.#....#########....##.#....#.#.##.##...##.#.##..###.....##..#############.#..#...###.#.##..#............#.##########.##...#.#...##.######
####.#.##.#...###....#####....####.#####.####...###.#.####.......##.##.##.#.##.###.##.###.###..######.##.###.##...##...##.....##.####............######...##...#..#.###.#...##.###.##.#.##.....#.##..#.#.#.#.#.##....##..#...#...####.#.........#.###..#.##..###.##..###.#####.###.###.#.##..###.##..###.##.....##..#.###..##.##.##..##...#.##.##.....#..##.##.##..###........######.....####....####.#.#..#.##.####.#..#.##.###.#.##.##.#...#.#..##.##.#.##########.##.############......##.##..##.##...#.#...##.##
#....##########...#####.####.##.##.#..##.#..#.#.########.######.##..........##.#....#.#.#.#...###..##.##..##.#..#....########.....###.#.##.##.##..#.#.########...##.#.####.##..##..#..#..#####.#..##............####..##.###...###.#..#########...#.##.#.###...#####.#.#.#.###.....###.#..##.##..###.##..#####.##..##...##.##.#.....###.###.#...##.####.##..#.....##...######....#.##.####.##.####....#.#.##..#.##...#.##.##..####.........###.##..#.#........##.#.#.#..#....#.##.##.#######..##.##....#####.####..#
####..#.##......#.##.........#...####.#####...###.###.....###...##.#.#.####.##.####.#.#...###..#..##..###..#########.##.#...#####...#####...#####.....#.##..####..#.#.##...###..##.##.##..##.....##..#######.#.##....##..#####..#....##.#..######...##.#...###.#...#...#...#.#.##.##.....###.###..##..##....##.###..#.###.....###.####..##..##.##....##..##.#.########.....###.###.#...##..##.##.####.#.#.##.##....#...##.#..##.#####.#######..##.##...#.######........##.####..#.##..###.#..##.....########.#..##.#
#.###.#.###.##########.#####.##.##.....##.###.#...#.#####.#...#..#####.##...##.##.....##.##.##.#.####.#...###.#.........###.#.#.##.###.########.#####...##.##.##.##....###...##.##.#..###....#.#..######.....#######..##.#...##.####.#....##..####.##..###..##.###.###...###....#..####.###..#.##..#.##..####..#.#.##.#.###.###.#..#.##.##.##...##.#.#..##..#...##.##..###...#..##.#.####.##..##.##........#.#..########..#.###..##.#....##.##.##.###.####.#.#..##.#####...##..##..##...#.##..#####..#...#.#.#.###.#
#.#.#.#.#.####.#...#####.###.#...####.##..#######.#.#.....##.##.####...####.#..######.##.#...#.#.#.##.###...#.#####.##.###..#.#.##..#.......#.#.###...#..#.#..##.###.#...###.........##.###.####.##.#....###..#.#.#..##..##.##....##.#.##.##.##.....##...##....#.....###.#.#.#######..#.#.##.#..##.#..##.#.###.#...##.....#..##...##.##.#...#.#....####..##...#.##..##..######.##..#...#..###.##.#..##.#.#.#...###.##..##.#.##..##..#.#####..#.##..#...........######..#.#####..##....###.##.##..###...#.#.......#.#
#.......#.###..#.###.#.......##.##.#..#..##.##.#..#.#####.########.##.##.##.#.##...#...#...#.....#.#..##..###.#.######.#.##.#.#..##.#####.#.......######.....###...#.#.#.....#.#.#.#....#.###.#..##.######...##.#.##.###.#...####.#..#.#...#.######.##.#####.#...#####...........####.#.#.#..#.##....##.....##.###..##.####.#####.#...#.##.####.##...##.##..######.###.##.######..##.###.##...##...##..######.##.#.#..##.....##..##.#...##..##..##.#.###.#####....#.#.##...##..###.####.#.....##..#..#####.#######.#
#######.#.#.##.....#.####.##.##.##.##.##.##.#..##.#.#...#.#.#.###...###...#.#.####.###.###.####.##.#.####.#.#.#...###.......#.#.###.#.###########..###.#####.....########.######.######...##..##.....##..###.##.#.##.#.#...#..#.#.##.#####.....##.#.#...##...###.##.##.#.##.######.#..#...##.#.####.####.####....##.##.#..#.##.##.#.#.#.##..##..######...##..#.#.#...........##..##..#.#.####.########..##.......#.#.#######.#..##....###..####.......####.########.#..#.#####.#.#.#.##.#.##.####.##.#.##...##..#..#
##...........####.##...####.....##.#......#.#.###.#.###.....#.#...#######.....#.##......#######...........#.....###.##.####.....##..#.#.##.##.###.##.........###.##.#..######....##.#####.#..###.#.#..#.##.#.##.#.##.#.###.##...#.##..##...#.#.#....###.########.##.####.####.##.#.##...####.#...##..##..##.####.##..#...##..#.##.#.###..##..##...#..##.##..##.....#.###########..##.#....##....#######..####.####.....##.##.#.######...##...##.##.####.##.#.##.#.#.##...#.##..#.#.........######.##.#.##.####.##.##
#..#.#.##.##..#.#.####.#.#..###..#.######.#.#.##..#.#.#####...#.###.#..##.###.#.#######.#.#...####.#.####.##.##.#.#.####..##.##..##.#.#.##.#......########.#..#####.#.##.#..#.#####....##.##.#.######...#.....#.#.##.#...######...###.########.###.##...#..##....##..##....##.#..#..###..#.#...#####..##....###...##...#..##......#.##..##..###.###.##...##.##.#######..###.#.#..##....#####.####..##.##..##...#.##.####........####..###..###..####....#..#..#.#.#.##.###..##.#.#.####.#.###.##...#.#.....##...#..#
##.#.#.##..##.......##...#######...#.#......#.###.#...#.#.###....##.##..####......##.#....###....#######...#.#.........##.######....#.#..#.######..###.#.####...##..#.##.#.####.#.####..........#.#.###...###.....##.##.####.#..#..#...#.##.#....#.####.##.###.#....####.###..#.##.##.#.##...###.#.##.##.####.##.###.############.#..#.####.#.#...#.###.##......###.##.##.....##..##.###.##..##.##.##.##.##..#.#.##.#####.#.#.#..#.##...##...##.#.#..####.##.##...#........###........#.###.#..###.#.#.######.###.##
####.#..##.###.#.##..##.##.#..####.#.######.....#.###.......###.##...##.##.###.#.##..####...####..#.##.###.########.####..#.##.####.#.##.#..#.#.##.#.#....####.####.#.##....##......#..####.#.#......##.######.##....##.##.#.#####.##.##......##...#.#......#######...##.#.##....#.#.....##.##.#.#.##.##.#.##.##.##.....#.#.####....##.##.#.#.#.###.#....##.#####...##.##.#.#####.........##.#..#..##.##..#.####.#.....##.#.####...##.###..####.#.#.###.#..#.#..###.######..#..###.#.####.....##..........#.#..##..#
#....#.##..#.#######....#..##.#.##.#....#######.#.#.###.#.#......###....#..#####.##.##....###.###.#.##.#.#..#.##.....#.##.#..#.#.#.....#.##..........####..#....##..#..###.########.####....########.#..#.......####.........#.#.#..#..##.#.###..#.#.#.#.#.##.#..#..###..#.####.##.###.###..##.#.#.##....#.#......##.####.#.#....#####.##...#.....#.####.##.##..#.###...###.#.#.#.##.###.##..#.##.##..###...#.##.#.###########.##.##...###...#.......#....##.#.####.#....##...####.###.####.######.########...##..##
##.#.#..####..#...#####.##.#....##.####.#.##....#...#####.######.#.####.##.#.....#...####...#........#.#.##....#.#.#.#.#....##.#.#####....#######.##.##.##.##.#..##...##...##..##...#.#########....#.############....####.#.##.#.##...############.#.#####.##.##...##.##....#.#..#.......##....#.#..##.###.#.###.##..##...#.####..##.#.##.###.#####..##..##.###....##.####......#..#.#######......##.##.###...#.........##.#.#.##.#..###...###.####.##.##.............##.#..#....#.###...##..##..#..##....###..##..#
##.######.###.###.#...#......##.........#..####.###.#...####............#..#####.###.#.####.########.#...##.########.#.####.##.#.#.#.####...########.##....####.##..######..##..###.#..##.###.####.....#........######....#.##.#.##.###.##.#...##..#.##.#.....##.#.#...#.####.##...###.#####.#.#...##...##.#.#.#####..##.##....#.###......##...#.##.####.##..##.####...#.####.###.####..#.#..##.#.##....###.###.#.##.####..#...#..##...#.#......######..#.#.#.#######..######.##.###.#.####.####.##..###.##.#.##..##
#..##.##....#.#.#.###.#.###.###########.##.###..###.##.##....##.#.#####.#.####....##....#...##.##......####..#.##.##.#.........#.#....###.#........#..####.#.##.###..##.#..##..##...#.##...........###.#####.##........#.##..#.#.#..###..#.###.###....#.##.##.####.##.##.#.#..####...###.#.#.####.##..###....#...##..##...####.#..#..########.##.##.##....#.##.....###...###...##.#.#..##.#######..##.###.#.#.#.#######.##.#.#...##..###.#.####....#.#.######.......#.##############....##...##..#..##.#..#.#.##.###
#.##.....##...#.#...#.###.###.#.##.##.#.##.#...##.......#############...#.##.####.#####.###..#..####.#..#...##.##....####.####.#.###.##.####.#####.##.#.#.......#.#.##..##.###..###.#..####.##.######........#..###.#.######.#.#.#.##.##...###.#.####.#..####..##......#.....##....###...#....##..###...####...#####.#..###....##.#.##...#.#...#.....##.###..##.####.#.###.#.###..#.##......##....###..##.#.#....##.#.#....#####..##.#...###########....##.#############.#..######...#.#####..##.##....##.#.......##
#######.#####.#.###...##........#.....#.#..###..######.##..#..........#...........#.......##.#.##.#####.#.####.#####.#.#####.#...#.#..#..#.###........#.######.##.#.###.#....#.##...##.##...####..#.##.##.##.##.#...###.#.#....#.#..#..##.##.#.#.##.#...###.##.##.####...###.#####...###.####.##.##.##.####..###.##....#######.#.....#.#.#.#.###.##.###.....##..#.#..#.#.#.#.#.#.##.##.##########.##..###...#.##......####..#.#..##....###.....#.###.#.###..........##.#.#.##.##.#.#####.#...###.##.####....###.#..#
##.####.#...........#.#########.#####.#.##.#.##..###...###...####.#.#.##.########.###.#.#.......#.#.#.#.#.##....##...#.#.......#...##.##.#.#######.##.#.#..###.##.#.#...####.#.###.##..######.###.#.#######...####.##.......##.....##.##..##.#...##.##.##......#####.#.#..####...###..##..#...##.##..#..#.##...#..##.###..##.....#######......##.#####..#######.#.#.##...#.#.#....#.##..###.##..#..##.....###.#########..##.#...####.###.##.####.#.#.###...##.#.#####.................##.###.##......###.##...###.##
#..#..###############.#.#..##...........#....#..##.#.#..##.#.#....##########.#.....#########.##.....#.#.#..#.####..#...#.#########.#.......#.##....#....##......#...##.##.#.....##..##.#..##..#......##.##..####.################.##..###.##.###.#........#.##.#.#.....####.####.....####.#.#.##..##...##..###.#.###...##..#####..#.#.######.##...##.##...##.#..#.#..###...#.##.###..##...#..##...##..#####.#...##...#..##..###.#.#...........##......####.#######.##.############.#.##...#...##.#.#.#.#.####...####
##...###.#.....#.##...#.##..######.#.##...##...##..####.##.####.####.##.#......#.#...#.#.....#..#.#.#.#.#.##.#.#..####.####........#######....##.####.#..######.##.##..##.##.####..##....####.######.##..#.###...####.#.#.##.#.......##...##...#.##.###.######...#####..##...#######...##.###..#.####.####.#.#...#.#.###..##...#.##.#..####...##.##.....#..#.##.#...##.###.#......##..#.###.#####....##.###...###..###.####.#.#...##.############.###..#....##.#.#.....###......#########.#.########...#....#.####.#
####.#.#.###.#....###......##.##.#############..#.###....#.##.#####.......##.#.#.#.#.....##.#######.......##.#.#######.##.#.##.###.##......########.###.##..........#.##...#....##..####.#.#..##.....#..####.###.#.#.......#.#####.#..###..###...####.####.#.###.##.##.##..###..##.#.####..###.#.#.##..##..#...###.....#.#####.#.#....##....####.###.#######.##.##.###.##....##.#####........##.####..#.....###.#.##....##......###...........#.#...####.####......#.#.#...#.##....##.##....#....###.###.####...#..#
#........#.######..#######.......##.##.####..##.#...###.####......###.##.##..########.#.######......#.###.##...##..#......########.##.####.....##...###.###########...####.#.#####.##.#....##..#####.#.##.#..#.......#####.#.#.#.#.####.##.#.##.##.#...##..#.#...##....###...#.##.....##..##.#.#.#.###..##.##.##.#.###.#.#.##..#...#.######.##.#.#.#...#.#.#.##.##.##.....##..###.####.#######...#...##.###........####.#####.#.##..###########...#..##.....#.######.#...#.#.#####.##..####.#.####..........##.##.##
######.#...##.####.........#####....#.....##....#.###.#.#.#######.....#..######.#.....#..#.#...#.##.###......#####.######.##........####.#.########.....#.#...###...#..#.#.#.#.##...#.###.##..##.#...#....##.############...........##........#.#..###.#..##...#..####.#.#.###..####.###.###........###..#.##.##...#####....##.#.######.#........#...#...#.#..#.#...#####..#.###...#.#.##.######.###.##...#####.####.#..#.#####..##.#.........##.###.##.###....##.############..######.#....#...####.########..#...#
###..#.###.#.......##.#.##.#.....##...#.#....##....##.#...#.###.###.#.#.##........#.#.#.##...#########..###.##.##..........###.#.##.##........#.#.#.###.#.###.#.##.###..........###.#.#....##.##.###.#.#.##...............########.######.###.#.##..#..##.######.##.#..#.#...##.##...##....#.##.#####.#.##.##..#.###.##..####.....#.##..####.#.###.#######.##...#.#..###..##...##.##.........##.........#.##..#.#.##.##.#.#.##..###...##.######....#......#.#.##...##.......##.##.##...####...###..#........##...###
#.##.#####.#.############..#.#.#.##.#.#.#.#.######..#.#.###.#...##########.####################.#.##.####...#...#.#.##.#.#..#######..#######.##.#.###.....#......########.#######.....####.#..#...#....########.##.######.#...#.##.#.#######.....##.##..#..###...##.##.....###...###..##.#####...##...#..#.#..##..##..##.#..###.#.#..#.####..###.....##.##..##.#####.#.##.######..##.################.######.####.##.##.#.#.##.##.#.######..##..#.#####.#########.###.########..#..###.###..#.#.##...###.####..#...#
#.....##.#.####.##........##.######.###.######.####.#...##..###.#.##.###.###.##..#.#.#.######..........####...############.##.#.#.#.##.#..##.##.....##.##...#.##.##.##.##..##...#.###.#.##.##.###.####..##..###########...###....#.#.#..##.###.###...##.##...###....######.#.##.##.##..#.#.##..#.####...##.##..#.####..#...##...###.##..#...######.###...##.#...##.....##.#..#.#.##.....##.#..##.#.#...#.#....##...#.##.#.#.##..#.#.##..##.##..##.....#.......#...#.#.###.##.##...##.#.#.##.###..##.#######.####.#.#
#####.##.#.##....#####.##.##.#......#...##.#...#.#....#.#..##.........#..##...##........##..####.#.##.##.#..#.##.#.#..#.#..##.#.#......##.##..####.#####..#.####..........##..#####.....#...#.#.#.#.##.###.##.##.##...#.####..##...#.##..#.##...####.#...#.###.##.#......#.#.....#.##.##....##.#...##.###..###.#.#.##.##.######..##..##.##.##..##..#####.#..#.########.##.#.##.#..##.#.###...##......###.#.#######.#.#.........##......###.##.###.##.####.#####.###.#...#.....##.##....#.#...###.##.....##.....#####
##....#....#####.###.#########.###.##.#.##...#.....##.####..###.##.##.##.###.#####.####..##.#.##.####......#####.#.##.#.#.##....####.#.....##..#.#.##.#..##.##...########.###...##..###.###.#.#.#...##..#..##.#...###.####.#######....##....##.##.#..###...##...########...#.#####.....#.#.#######.#....##..##............##.#..####....##.##.####.#.##..#.##.#.##..##.##.#.#..##..#.####..#####.#.#..##.#..#.##...#.##.#.##.#.####.####.#......######..#...#.#..##...#.#.##.##..###.###.###.#.#.#..#.#..#.##.###.##
#..##...##.#.#.#.#.#..##.##.#####..####.####.##.#.##...##..##.####.#.........##.#####.##.#..#..###..###.##..###..#.#......#####.##.######.####...#.#..#################....##.####.####.##....#.###.###.#.##..###.#.#.##.#..##.######.####.##...#.##..####..###..#.###.###...#.######.##.#..##.....####.##.####.####.#######...##.#..#.##.....#.#.....##....#.#..##.#..#......####.#..#.##..##...###.##....##..##.##.####..#####....#..#.#.##.#....###.######.#.##..#####.######..##...#.##........#####....###.#..#
######.##......#.#.##.##.#..#.#.####....#.############....###.##...#########.##.#.#....#.#.##.#####...####.##.##.#.###.##..#.#......#.#.#.#.####.#.#.##.#..##.###.....###.##.....#.#.....####.#.#.#........#.##.#.#.#.##.##.##.#.......##..####....#.##....##.##...#....###.##.#.##...##.########.###.......##...######.#..##.###.##.#####.####.#.#.######.##...##..##...######.#....##....########..##.####..##.....#.##.###..####.#.##.#.#########.#...###.....##...##...###.##.####...##.######.#.#.###.##...#.##
#.#.....###.##.....##.##.##.#...#.##.####...##.....#.#.####.#.########....#...#.#...##.#....#.##..###.##.#.##.##....######...#.####...#.#.#.#........##.##......#####...#.##.###########.##.......########.#.##........#.##.#....#.###.#..##.#####....####.##..###.###.##.#.##.#..###.#..##.##.#....######.###.###..##..#.##..#.#.##..#.#..#.##.#.###..###.##.#####..###.#.#.#..##.###..#.#######.##.........#####.###.##.#...##.#..#........#....##...###.##.####..#####.##.#.#..#..###.##.#...##.......######.#..#
#.###.#####..##.##............#...####....#..#####........#.#.#...#..####.###.#...####.####...##.##...#.......###.###.#.####.#####..#...#.#.#.#.#.##.##.##.#.##..#.####....#.#.#.##.#....###.#.##.............########......######.#...##........####..##.....##.#.#...##......#.##.#...##...#.###.###.......#..#..###.##..#.##.#.###...##.#..#.#..##.##....#.#.##..####.......##..###.####.##.......#######.#.##..##..#....#.##.##...#.######.##....####..##..##..#####..#....#.##.##.#.#..#.###..#.######.##....##
#...###.#.##.######.#.#.####.####..#########.....#####.####.#.###.##..........##.##.......###.##..###.##.#.#.##.#.###...#.##.##..#.####.#.#.###.#.#......#######.#..##..##........#.####.#.########.#.#.#####.##..##.######.#.#.######.#####.###.##.#.####.#.##..#.###.#######.#....###....###.##..#.####.#.##.##.##...###.#.##.#...###.#..##.#.#.###..###.##...#..##....#########.#.#..##...#######.#.....#.#.###..##.#.#######.##.######.#....##.####.##..#.###.##..#..##.####....##...#.##.#.########.#...#.#####
#.####....####.##...######.######.##..#.###..#.#..........#.#.#...###########.######.#.##........####....#.#......#.###.#.##..##.####.....#..########.#####......##..#####.########.##...#.###...########......##.##.###.##.#.#.#..##....#.###...##.#..#.###..##.#.#.#..##.....#.####.#.####.#..##...##.###........###..##.#.#..#.####..#.##..#.#...##.#.#..##.##.######.##.##.#.#.....##..###.##......#######..##.##..#.######...#...##.#...##..#.........##...#..##.#.###..#.#.#.##..###.##.....#.##.....#.#.....#
#..#.####.#.#...########.#.##.#.#..##.....#######.####.##.#...###.#.#.#.........#..###.###.#.#.#..#.#############....#.......##...#.#####.##...#..###.#.#.######.#..##.#...##..#.##..###.#.#.###....#######.##.....#.#..........#.##..##.#...###.#....##.##..##......#.#######.#.#.##.#.##.....##..#....##..##.##.##.#.###.#.##.#.#.#..##..##...#.###....#.##..#....##.#.##..#.....#######...#..#####.##..###..##...##......#.###.#.####...#..#.###.########..###.##..#...##...#.#####.....#..#.#.#..##.#######.####
##....#...#.##.##.###.#.....#.#...####.#.##.#.#.###.....####.##.#.#...########.##.##...#...#.#.##......#############.#######.####..........##.##.##...#.#.#..#.#.##.#....#....##..#.##...#....####.##.#.##########.#.##########.#..#####.#.###...###.##..###.#######.#.#.#...#.....##....###.#######.######..#######.#.#.#...##.#...##..#.###.###..#####.#..##.#.####..#..##.#.#####.#.##..#.#.##......##..#..##..#.#..##.###.#.#....#.#.########.###.##.#.##.#.#.##.##.###..###..##.####.##.######.##...##.##...#.#
#####.###.#.#...#.#.#.#####.#.#.#..#.###.#....#.#####.#..##.......#.#...#..###.##..#######.#.#..######.#.#.#....#........##..#..####.#.###....#..####.#.#.##..........#.##.######...####.#.#.##.#.....#...##.#....................##.#...#.#.###..##..#.##.#.#...##....#.###.###.#####.#..##...##.#...####..###..##..#...###.##.#.###..##.#.#.#.##.#.##..#.###...##.##...##.....#.##.#..#.####.#####.#....##.####.####..####..#.####...#.....#.#..##...#.#....#.#.##.#....##..#..###..#.#......####..##.##...##.##.#
#.............#.......#.....#.####.#.##..####.#....#####.#######.######...##...##.##.......#.##.#............##...##.###.###.##...######...##.##..#.#.#.#.################.#....###...#....###....###.###.##.#########.##########..#.###...#.#.##....##.##...#.#.###.#....##.#...##.#####..###.##...###.#..##.##..##...####.........##.##.#.#......#..##...#.#.###...###..##.##.#.##.##....##..#..#####.###...#.#..#.#.###...##..##..###.#####.#.##..###.#.####....#...####..##.##...##.#.#.##..#.#.##..##.###...#.#
#.#.#.#.####.######.#...#.#....#.....###...#..####.#.#.#.#.###.#..##.####.##.#..#..##.#.##.#..#####.#.#.###.########.##...##..###..##.#..#.#.....##...#....###...............####.###.####..#######.#.##......##.#..#####..#.#..##...#####.#.#.#####....###.####.#.#####.##..###..#.#..##.###..####..##.##.##..#.####.##..###.#.#####..##...#.#.##.#.##..###.....##.##...###.####.#.....#.####...##..##.####.##.##.#.#.#.###..#.##..##.......#....##.##.......####.#.#######.##.#..###..#.#######....##..#.#...#...#
#.#.##########.#..############.#####...###.##.#............#.#.##..#.#.#...####...###########.##.#..##########.#.#.######....##.##.#....##.#####..###.###.##...###########.#..##..##...#.##.#.##......###.###.##.##.#.#.##.#...#####.#.##......#...####.#.#.##.....##.#...#.##.#.##.#.##....##..##..###....##.##.#.##..#.##...####..##.####.#.######..##.....##.###..###.##..#.##.#.#######.##.###..##..#.##.##.#..#.#...##..##..##..#.#######.####..####.######.#...#....##.##.#.##.##.......##..######.#.#.###.###
#.#.#..........#.#######.#.##...#.#..#..........##.##.####...#.###.....###.##.###.####.##..#####.########.##.#...#.##.....##.........#.######..##.#.#.#....#.#######..##...#.##..#####......#.#######..#####.....##.#.#....##.###.......######.###..........######..#.###...##...#..#.#..#.####..##..#..#.##...#.#.###...####..#.#.##...##..#..#..##.####.########..##....#.##..#...#....##..#...##.#..##.##.##...##.#.#####.###.##.##.#.##.##....##..##.....##..##.##.####.....#.##.##.####.###.##.##.#.......#####
######.##.#.##....#.#.........#.....####.##.###..######....#....#####.####.#.......##..#..##.#.#.##...#....#.###....##.#.##..#.#.#.#.#..#.#.##......#.#.#.#####....##..###.#####..#..######.#...##....##.#.##.##.##.....##.#....####.####.#.##.########.#.#..#.#...##..####.####.##.#.#.#####.##..##...#####.#...#.#.#.###..##.#.#.##.#####...##.##....##.##.#.#...##..##.#..##...###.#####.##.####.##..#.##..##.##..#.##.#..#.#....##......##.#####.###.#.#####.##.##.#..##.####.##......#####...#..#.#.########..#
#..#....#.#######...###.###.#.#######....##.##..##...###.#.###.##.##.......#.###.#..##.#.##....#.##.#...##.......##.##########.########.#......#.##.....###.#.####.###.###..#.##.##.##......##.######.##.#.#####.###.#####.##.#.#.....##..#....#.###....####.#.###..##...........##.#.#.#.#.#.#..###.###...#####...#.#.#.##.##...#.#...##.###..#.##.####...#.#.##.######..##.##.###.#...##......##...##....##..#..##......#.##...##....#.#####.#.##..#.#.#.##.##.##..#...###.#.##..##.#####.#.#.###.##.#......#.#.##
##...#.######.....#...##########.#..#.#.##..###..###.....####.....#..##.##.#####.##.......####...##########.#.##.##..##....###.#......########.###..###.##....##...#.#.#.#.##.##.##.#######..#..##....##.#.#.#.#..####......#.#######.###.####.#.#.########....#.#.####.####.##.##..#.......#.##...#.#####.##.##.#.......##.##.###...###..#...##..#.#.##.###.#.##......##.#..#...##...#####.######.#####.#####.#.#####.####..##.#####.######.#...###...#.####.##....##.###.#.#.###..#.....#.........#....##.#......#
####.###.##.#####.#.#.###.###......##########.####.####.##....#.#...######.##..#..##.####.#.###.##.#.....####.#..###.###.#.....#.#.##..#.###....#######.####.#####...#.....##.##..#.#.##.###.##..##.#.#..#.......##.#######.#..#.##.....#.#.#........#.#..####.#.#.##.########...##.###.###.#.##.###.#.##..##.#######.####..##..####..###.###..##.#.#.##.#.#....##.#####..##...#..#.####.##...##.#..#.#....##..#.##..#..#.#.##..#.######...#...###.#.###..#.#.####.##...##...#.#.#.##.#####.#########.#######.##.###
#.....##..#..###..###.#...#.###.##..##...####....#......####.##.##.##.###...##.#.######..........#.#####.#.#######.#...#####.#.#.#####.#.#.######.#.....#.#...##.###.#####.##..#.##.#.#.......#.##..#.##.#######.##.#.#...#.##....##.##.....######.#...##.#..#.#.#.##.##....#..####.##..#.###.#.........##.....##.##.....##....##..##.#.#.##..##.......#.#.#.####....##..##..######..#.#.###.##..#.##.####..##....##.#.##...##.##.#....###...####....####...#..##..#..######.#.........#.##.......###.#...###.######
#####..##.##.#.##.#...###.......###.##.###..####.####.#.#.....#######.#...#....####.#.#.#.##.###.#.#.#...#..###......####.####.###.....#.#......#.#.###.....###...##.......##.##..#.#.####.##....####.#....###.#.#....###....##.###...####.###.....#.#....##...........####.##..##...##.#..##.#.#####.###..##.##...##.####..##..##....#.#..##..##.###.##.#.#..#.###.####....####..##.#...#.#.##.##..#.#..#.####.###..#.##.###...#...#####..###..#.##.#....###.####.##...#.##.#.#####.#......#.#####.....#...#.#.##.#
#...##.#...#....#####...###.##.##.#.##.#.##.#....#....#.##.#.####.....######.#.##.....###.####.#.#.#.###.##.#.####.#.###...#########.#.....####...#######.#.#.###..#######.#...#.##...#.#..#####..##..####.#.#.#.####.#.###.##....#####.#....###.#.#.##.#....#######.###.#...#.####.##..##....#.##.#######..#..###....#.#####..####.#...#.##..##..######.....##.##..##.####.##.##.##...#.#.........##.##.#.#.##..##.##.#......#...#.##..##.#.##.#.####.######..#.#....#.#..#.#.#.##############..##.###########....#
###..#####.##.#.##.####..##.####....#..#.##.####.########..#.#..###.#...######.####.#..####.#........##...#.#.#.####.#.###.#.###.#######.######.#..#...####.#..###..#......###.#....###.####.####....##.#..#.#....##.........####.#.##....#################.#####.##.##....#....##...##.#####.#..#..##...#.#####.##.#.....##..#########.#..##..##...##.#.######..##....###........##.#######.##.####...#.#.#.#..###......##.###.#####..##.....#.#...##.##...##.#.##.######.#.................##.##........##.##.####
#.##..##....###....#.##.#####.#####.#.##.##..#....##.#.#####.##.....###.#.#......#####..##..#######.##..#.......#.#.....##.#.#.#.#.##..####...####.###.#.#..#.##.##.######.#.#...#####...##....###.#....##.#.####....##.#.##...........##.###..##...##.######......#..#########.###.##..#.#.#.#.##.##..###.#.#.#.##.#.#.###..##.##........###.##..###..#.#.#.#..##..####.##.########..#.##.#.##...####.#.....#.###..###.##########..##..##.####...###..##.####.#.##.##.##....###.#####.###.###...##.#######..#..#..#
#.##.##..#.#######.......#.#........#.#...##.##.#......#..#########.#...#.#####.##..###.###..........#####.#.##.#.###.####.#.#.#.#.#..###...#..#.#.#...#.##.#..#.#...###.#...##.##.#.###.#####.#.######.........########################..#.#.#####.##..#..#####.#.#.##..###....#.#.###.#.#.#.......##.##.........#####...##.....#####.##......##.#.##.....#.#.###.##.#.......##.##..##..#.#..###.#....###.###.##..##.###...#.##...##..##..##...###.#.##...##..#.#......####.######..#######...####.......##.##.#.##
#.....##.####.##.####.##.#.##.#####.#...#..#.#########.##...#.#.###.###...##.......##.#.#.##.#.#####..##.######...##..#.#..#.#.#.#...##.###.##.....###.#......##.###.#.#.###.##..#.#.#.#..##.#....#.#...##.##.#.#.###.#........#####.####.#.#..##....##.##....####....##.#.####......#..#.#.###.##.###..##.#.############.##.#####..########.###.......#####...##...#.######.##...##..##.#...#######.#..#..##...##.....##.###..#.###..####..#.#.###....#.#####.#.#.#.####..#.#..#...###...##.#.##.#.########.##.#.##
#.#.#.....#.#.#..###..#..#.#####......###.##..##..##....###.....#.######.########.##......######.#.##.##..#.#.###.###.#.##.#.#.#.###..#..#########.......#.##.##..............##.#...#.##.##.####.#.#.#.#######.......####.###.....#.#........#####.##...####......#.###...##...#.##.#.##.#.##..#####..##..#####.##.#.....#....#.##..##......#...#########...#####.##..##..#..#.###..##....#..#.##.####...###.###..######..###...#.##.#.##.##.###.##.#...#.##..#...####.##.....##.###.#.###..####....#...##..#.....#
#######.#...#.##.#.#####.#.#.#.##.#.#.#....#.##..######.#.#####.#..##......###..#.###.#.#..##.#.......##.##.#.....#.#.#.##.#.#.....##...##.##......#########...##############.#..##.##.#...#.##.....#####.#.####.####....######.##.....##.###..##...####......###.##.....#....#.#.#..#.##.#..##.#.#.##.###..##...##.#####...####..##..######.#.###.....#.###....##.##.####.#.##.#.##..##.######.##.##.##.##.#.#.##......#.##.#.###.##...##.....##.#..#.###.###.#.###..#..##.#####........#..###.###.##.#####.#.###.#
##.#.######.#.#..#..###..#.#.#.######.###.##.#..##.###..#.#...#.##.######.##.##.....######.##.#.#####.#...#.#####.#..........#####..###.##.############...###.##.##.###.###.#.##.##.##...###.#####.###.#..#.#..####.##.###...######.##.##.####..##.##.####.##.#...##.#.#.######.#.##........###.#.#.#..#...#####..#.#.....#......####..##..#.#.#.#.#####.##..##.#.....#.#..#.#..#.##.##..#.##...##.##.#..#.......#.######.##.#......#.####.##.##....##..##..##.....##.##.#....#.#.########.##.#..#..#....#.#.#...#.#
#...........#.##.#.##.##.#.#.#.#.#.####.#.##...###.#.##.#.###.......##....##....###.##.#...##.####....###.#.##..#.#####.####.#.#...##...#..#.#........###.#.#..#.##..............##.####..##..##....#..##.....##.......#.###.#.#.#..#...###....###.##..#####..#.#..###.################.#####.#.#.#.##.#.###.#...##.####.###.#.###..##.###.......#..###...##..###.#####.##.#...##..#..##.#..##.##..##.##...#######.#.#..#......######.##...######.#######..##..#####..##...##..........##..#....##.##.####.#...#.###
#.#.#######....#.#.##.#......#.#....##.....###.##..........#######.######..###.###...#...#.....#.####.#.#.#..##.#.###.###..#...#.######.##...########.#.#.#.##.#.###############.#..#..##.###.####.##.##..#####..#.###.#.##......#.###.######.##....##.#..###.#.#.#######.......###.#....#.##.#.....#........###.##..##...######.##..#..#..###.###.##.#.#####..#..##.##.#..#.####.##.##....##..#..##.....###....##.#.#.##.###.###.##..##.###.#.#..##.##.#.####.##.###....######.#.#######.##.####..##........#######
#.#.####....##.#.#....##.#.#...####..###.#.#....##########..##.##...##.###..####.###...#.#####...#........#.##....#.#..###.###...###.#.....###....................##.#.#...#...#.##.##..#...#.#.##.##.#..##.#.######.#.#.#######.####..#...#...###.##..#.##.########.##.####.#.##.#.####...##...#####.#########...##..##.##.#.#..###.##.#####...#.....#..##.##.#.##...#.##.#..#.#.##....####..##.#######.....####..#......#####....#.##...#..#.##.....#.....##.##..####.##...#######.##......##...##..##.#.######..#
#####....##.#......##.#######.##....##.###.###.##...#....##.##..###.....#..##.#..###.#.###.....#...######....####.....##.#.#...#.#.#.###.###.#.#.##.############.##..#.###.###....#..##.##.##...##.#..##.##....##.#.......##.###..#.######.##.##.#..##....#.##.#.#......#.####.#.....#...#....###.###.........##.##..##...#.#.#.##.......##.##.##.#####.##...#....##.##.##.#.##.#.####.##.###.##.#.##....#.#.#.###...##.#....#..####.###.##.##.###.####.######.#..##.##..##.##.#.#....#.####..##.###.#####...#.#..##
##..####.#######.####.#.#.#.#..####.##.##.......###.####.....##.#######.##.##...##.###########.########...##...##.#.#.##.#.#####...#.#.#.#.#.##############.###...##.#.#.....#.##.#.##...#.##.#.#..#.##...##.###..######.##....##.#.#.##...#...#.#.######.#.##.#.######...#.#....#.#.########.#.#.....#########..###.#..###.#.#.#####.#.##..##.#...#.##.####...#####.##..#.#.##.#..###.##..#..##.#..##.#######.#...#..########.###.#..#...#.##..##.#.#....#.#..#.##...##.#...#...#.####...###..#.......#####.#.#.###
#..###.###.##.#####...#.#.#...##.#..#..#..###.###....######.##..#.##........###.##..#.#..#...####.##..########..#####......#.#...#.........#.##.#..#..........##.###.....#.#...#....####...####.#.##..##.##..##..##.......####.#.......###.###.#...##..##.#..#.#..##..###.#.##.#.###.##...........###......#.#..##.#.##.#.#.#.#..#.####..##......###.....#####.#.#...###..........##......##.###.#.##.....#.##.#.######....##....#.#.##.###..##.##.....##.....##.##.###..#.###.###.#....#...##...#######.#####...#.#
#.##.#.##..#..#.#.###...#.###.##.##.##.####.....####........###....###.####.#...##.##.##...#..#......##........###########.#.#.#.##.#.####.#.#..##.#.#.##.###........#.#.#.##.###.#..#.###..##.....##.#...##..##.#######.##....#######...........#..##.#..#.##.##..#.##......######...#######.############.#.#.##..#.##.........##.#.#..##..#.####...#.###.......##.##...######.#.####.####..##..#....#.###.##.#...##.##.###..####.#.#......##...###.#####.#.###..#.#.##...#...#.#.#.########..#.....##....##..###.#
#..#....##.##......##.#................#.#####.##..##.#####.#.#.#####...##....#........######.######..##.#####..#.#..###.#.#.########.####.#.#.##..###########.###.###.#.######.####.#...##..####.##..##.##..##...##..##..##.#..##.#.##.##.########.#..##.#.#..###.#..######.##.#...#...#..##.##.#....######.#.###....#.#########....##.#####.#.##.############.##..####.##########..#..#.##..##...#.#####...#.#.###..##...#.##..#.....########.##...#...#####.##.#...##.#...###......##.##.#####.##....######.#...#
##.###.##.....#.#.##..##.##.##.#######.#.#.#...##.######.#........##..################.##.#.#.##.....######.###.....##...#....##..#####..#.#.#.#..###...#......##..##..#.##......##....####.##.##..##.##..##.####.###....######.##...#######.##.#.#.##.##.....##.#.##.#.#.##.#..##.##.#.##....##...####..##......####.#..##.....#.#.###..#.#..#......##..###.#...##..##.......##..##.#.##.##.##..#####.#.#.###.....#.##..###.###.#.###.##..##.#..###.#.#####...##...###..#.#.....##.#........##.#..##.####.#.....###
#.......#.##.####.#########.####...###.#.#.###.##.#.##...##.###.#..####...####.#.##.##.#......######.##.#.....##.##.####...######.#.####.#.#.#.##...###.####.#.###..############....#.##.#..#..##.##..##.##....##...####..#.#......#..###.##....#.......#.#.#.##......#.#.##.##..######....##..#.####...######.#####....##..#.#####.#.##.#.##.#.######..##.....###..##..#######..##.....#.##..##.###...#.#.#.#.###....##.##...##.#...#..##.##.#.##......##.###.#..#.....##.#####..#.#.########..#.###....#.###.#####
#######.######.#..#.##....###....#.........##..##.#.#..#..#.######..###.#......#.#.....######..##....##.###.######...#.###..#.##................##.###..##.#####.#.####.##.#.....##.#.##.##.##.##..##.#..##.#.####.##..##...###.##.##.#...#..##.######.####.#..#.#.##.....##....##...#####..##....#.#.###....#..##.####..##.###.##..#.#............####.#####.###..##..###..#.##..##.####.##.##..#.##.##.#.#.....##.####..##.##..#.#######.#..#..##.##.###..##.##.##.########..#.######.##.....####.####.....#.....#
##.##...###.##.##.#..####.################.#..###...#.###.###.##.#.##.########.#.#####.#..##..######....#.#..##.####.#..###...###.#.##########.##...#..##..##......##.#......##.#####...........##.##.##..#.####.#.##.####.##.######..###.####.....#.#...#####.#########.######.####.#.#.######.###.#.#.####...##..#.#..##...#..###.#.######.####.##.....###..#.##..##.#.##...##.###.##.#..#..##...#..##.#.#.##.######.##..#..##......##...##...##...####..##..##.######.###..####.#.......#####.##..#########.#####
#.....#...#.#.......##.##.#.##.##.###.####.##.##..###.#................#...........#.#.##..##..##.#####.#.#.##.....#.##.#.###...#########.......###...####..#####.###.######..###.####.#.#.#.##.##.##.###....#.#.#.##.##.#.##.##..###.#.#.#.##.#.#.....###.#.#..#.#...#...#.#....##..#.#..#.##...##.#.#..#.#.#.###...##..#.###.##.........#.....#.#..###.#.##...##.##....##.###...#..##.##.#.###.###.##.......####...#..##.#.##..########.####.#####..#.#.####.##.#.#......#.##.##...#.#.#..........##.##..###.#.#.#
########.##.#######.##.#.......#..............##.##.##############.###.###########.#.#.##.##..##.............#####..........#.#######...#######...###..##..##.....##...###...####......#.######..#..#..###.#...#.#.#...#.#.#...##.......#....#########..##.#.##.#.###.###.#.####..##...##......#.##.#.#.##.###..####..##.#..#..####.#####.#.#######.######.#..####..##.###..##..###.##..#....#.#.##.....##.##..#.###.#.##..#.###.#..#.##..##.#..##.#.##.#.#.#..##.....##.#.........#######.#.##.#####..##.##.#.#.#.#
#.#.##....#.#.###...#....#.###.##############..#.##..##..#.##.#..###.#.###.##.#.#......##....#######.###.##.##.########.###...##..#.###...##.####.#.#.##..############.#.#####....#.##.#...##.##.##.#.##.###.###.#.###.#.#.###.########.####..#.###.##.###.#.##.#.##..#.#.#.#.###.####.#########.##.........#..##.##.##..#.##.##..###.##........##......##...###...###.#.##..##..##..##.##.#......##.#####.#####...#.#..##.#..#....##.###..#.#.##..#.##.#...#.##..##########.#.#.###.##.##########.###..#.##.#.#.#.#
#....####.....#.#.#...##.###.......##....#####.#.#..####...#..#.##...#.#.#.#....######.#####.##.#.#####..#.....#.##..#####..#..##....#..#..............#.##.#..###.#...........#.##.#..#.#.#.............##..##........#.#.##...##.......####....#..#..##.........###...#.#.#.#.#.#....#.#..#.#...##.##.#.###.##..##.###.......##.##..#####.#.#..#.##.######...###.#.#...###..#.###.###..#.##.#####..#.#.###.##..###.#.##..#.##.##.##.#.##.#.#.###.#.##.#.###..##.#.###.#.########....#...#.##.#.....##.#.#..#.#...#
####.##.#####.#.##############.#.#..####.........##..#.###.##.#.####.#.#.#.####..###...#...........##.######.#...##.##.#.#####.#####.#.###.#########.#...##.##.....###################.###########.#####.###..######.#........#..##.#.##......##.##.##.####.###.#..####.#.#.#.#...####...##.#.##.##...#######..##.....####.#####..###.#.#...######.####..#...####......###...##.##..#.#.#####..#.#..##....##.##.##.#...###......####....##.#.....#.#.#.....##.###............##.#..##...###......######.#.##.#.#.###
#.##.#..###......##.....#...#######.#.########.#..##.....#.#.....##...........##.#.###.####.######....#.#.######.##.##...###.#.#.....####..#....####.#.###...####.###.#.###..........####.#.##.....####..#.##....##..########.##..#############........#.#..##..##..............#..#.###....#....##.#######.#.#######.#.#......##...#.#.###..#.....#..##.##.##..##.##.######..#..##...#...##..##...###.####...#.##.##.##...#.####.##.####....#####.#.#.######.#.#.############..#.###.#...#.########...........#.###
#.#..##...######..##.##.###...#.#.#.#.#......####.######.#.#####.##.###.#.#.#...............#......##.#.#.#.#.....#.####.#.#.#.#####.##.#######.#..###.#.##.##..........#.###.##.###...........#.#.#..##.#....######.#......#####...######.#.####.#.##.....####.##########.#######...######.####..#..##.#.#.#.##.#....#.##.#######.##.#.###.##.#####.##..##..##.....####.##..##.#####.#.#####....####.......###..#.#...#####..##........##.###.##..#.#...##.#.............##.##.....#.#.#..........##.#.##.#####...#
#.##..###.###..#.######.###.#.......#.######.###...##......#.....##..##########.#.####.####.##.#.#.#........#####...#....#.#...##....##.##..##..##.....#.....#.########.#.#############.####.###.####....####..#..#########.##.#..###.##..........###..##.##.#..#.##.###.####.##.###.#.......##..##.##.........#.####....#.##..##..##.#.#.#.....##.#..##.#..#######..#.#..##.##.#.##....#.#.#.####....#.#.######...##.##..#..##..########..#....##...#.###....###.###.###.#..#..#######.##################.#.##..###
#.###.##..#.##.....##.#.#...#.###.#.....##.#.#.###.#######.###.#....##.###.#.######....##...####.#.###.####.#.#####.#.##.#.#.#######.....##.#..#######.###.#####............##..##.#....###########.####.##.#.##.##.#...##...#...###.....##.#.#.#...##.#...#.####.........##...#.....######.####.....##.##.#.###.##.####...##.##..###...#.#.#####....##..##..##..###.....##...#.#..#.##.#.#....#.#.#########...#.###...##.##..#.##.##..##.##.######.##.#.#.######...#..####.##.#####.#####........#..##..#......##.#
#..#...##....###.###....#.#######.#####.....................#..##.#.#...#......#.#..##.##.#....###.#...###..........####......##########..#.##.#.##....##.....#########.#.#####.##.######...#..................#....###..###.##.##.#####.#..#.#.##.#####.###.##...#.#####..###.####.#######.#.#..#####..######.#..#.#..##.##...##.#.###.#.#.....#.######..##..##...##.#.#####...#.####......##......##.#.#.#.###.#...#.##....##.......##.....#.##....#.#........########.##.##........##.#.########.####.###.#####.#
##.#.######.####...####.####.#..#.#.....##.#.#.##.#.#.#.#.#...#########...####.....#####################.##########.##...##.#..##..#...##.........####..####.##..#...####.##.#.....##.##..#...##.#.#.#.#.##.##.#.####...##...#.....#.##..##.#########.######.###.##.#.....##.#.##...##........##..##...##.#.#..##.#.##.##..##.###.#..##.....#####..#.#.#.##..##..#..#.###.#####.#..##..##.#.##.######....#....##...#######.###..#.#####..#####..###.##...####.#####.##.#..#..#.########.........#.#...##.#.....#...#
#....#.##......###.##...##...##...##.#.#####.###..#.#######.#.##.#.##.##.##..#.######.#.###..#.#.###.......#.#...##.##.#..####..##.###..#####.##.##.#..##.#...##.#.#.#.#..##.#####.##.##.##.#.###############....#.####.####.#.##.##..##.##...###.#.#.#.......##.#..#####..#.#.####.#########..#.###.###..#.#.##.......##.##..##..#.#####.####..##...#.#..#.#######.#..##.#..#..#.###.#######.........####.#####.###..#.#....##.####..#.###....##......#...######.#....#.##.##.#.#...##.#########...####.###.###.###
####....######.##...###..###.#..#.#..#.#.......##.####......#.#...........##.###.##.#.#.#.##.#.#.#.####.##...##.##...####.##...##..#.#.##..####.....##.##.##.##..###.#.##.#..#.........########.#.#.#.#.##..##.#....##...##..#.#...#.###.######.#.....#######.#########.##.#.#.#.....#..#.####.#...#..#..##.#.###.###.##..###..##.#.##.#.......##..###.#.##...#.##..##..#.##...##.#.#....#.####.####.###.....#.#...##...##.####..#.#.##.#.###.#######.######.##.#...####.##.#......###........#...#..##....#.#.....#
#....##.#.#..#.####.###.##.#...##.##.#.######.###.#....###.##.####.#.#.##.#..##.......................######.......#.##.######.###.....###..#######....#......##..#..#.#..##.##.#.####..#.##....#.#.#......##..##.######.###.#####.....###.##.....###.#.##.##..##..##.#.#..#...##.##.##..........###.##.##......####...##..###.#..#..#.#.#######..##.....##.###.###..#.##.##.####.....#.##.#.#########.#.#####.#.#.###.##.....#.##........##.....##.#.#.#.##......###....##.#.########.########.########.###...#####
######....##.#....#.#.#.##.#####..##.####.....#.######.#...##.#....#########....#.###.#.#.##.#.#.####.##.....#.##.##.....##.#....#####.#.##.#.########.###.##..##.##...##.##..#########.#.#####.#.#.###.##..####..#.##.#..##..#..#.######...#####.#.........##..##.##...##.#.#######.###########..##..#....#.#.###.###.##.##.#...##.##...#.##..#.######.##...##...##....#.#.....####.#####.#.#.##...##....#.##.#.###....#.#####.#..#.###.##..######.#........##.#####.#####........#.#.###.#.##...##.#.#.#####.##..#
#########......##...#...##...####..####.###.###.##...#####.####.#.###....#.#.#.########.#.#########...##############.#.#..#.###.###.......#...#..........#.#..##...#.####.#..##.......#....##...#...#######.#.###....#.#.####.##.#.##.##..#....#####.#.####.###.#...###.......##.#.#.#..####...#.###.##.########....##.##.##.##.##...###....##.#.#.##....##.#####.##.####.#.###.#.....##.#...#..#.######.##.##.#..#####.#.####....##...#.##.#####.....##.##.###...#....#.#..####.###.#...#.#..#.###....#.#.##..##.##
#....##.##.#.######...#.####.#.##.##.....####....###.#######.######.####...#####.#..###.###.###.#.##.##.##.#.....#...#.##....##...#######.###.#.#.##.###.####..#.#.#.##...##..##.#.##...##..###.###.#.##.##...#.####...#.##......#.##..#######.#.#.######.#.#.#.###.#########.##.#...#.##..###.#.........###..####.###.##....##..##.##.#.####..#.#.##.#.##..#.#.#.#...##..#.#.######.##..#.###.##...##...#..##...##.##.........##..#.######.##..####.######...#####.####.#.##.##..##.#.###.#.##..#..#.##....##..#.##
#.##.......####.####.##.#....#..#.######.#.#####.#.....#..##..##.##.##.###.##.##.##.#.###....#........#.#..#####...#######.#..##.##.##........###.#..##...#.##.###.#.####.#..#############.##...#.#.#..#..###.#.#..###...##.####.#..#.##.##.##.#.#..#.##........#.#.#.........#..#.#....##.#.#...##.####...##.#.#...#.....#.##..###..#...#..##.#.#..#.####.##.......###..##....#..##..##........#.######...###.####.###.##.#.#######..#.##...#.###........#.#..#.#...#.#.#.##.###............##.##.######.#####....#
#.#..#########....##.#######...####..............#####.##....##............##.#...#.#.######.#######.##.##.#.#...############....##..####.###.##########.##.....#.....##..##.#.##.#.#.##.#.####...#.##.##.##......##.##.##...##....##.#..##..#.#.#.##..###.#.##.#.#.#########...#####.####.#.###..#..########.#.###.####.##..##.#.##.#.###.##..#.#.##..#.#.####.##.##.##.#..####.##..##..########.##.#.##.##...###..#.#.####.....#.####..###...#.#.#############...#.#.#.#.....###############.....#.##.#..##.#.####
####.#..##...####.#...##.#.###..####.##.##.#.###.#.##...####.###.#######.#......#...#.#.#..........#.#..##.#...#.#...#.##.#.####.###.#.####.#.#.###.##....#####...#.#.###.##....#.#.#.#....#....#.#.##.#...######.#.....##########..#.##..##...#.#..##.###.#.#..#.#....###.####.#.#.#.#.#..#.###.#####.##.#.#........#.#..#####.#.##.#.#.#..##.#.#..##.......#####..#.##.#.##.##.###.###.......##.#....##.##.###.##........##.####.##.#.##...#.#.#...#...#.#.#####.###.#.#.#.###.#.##..##.#..##.####..#.#.##..#....#
#....##..###.##...###.##.#.###.##.##.####..#.#........#....#.#...#..######.#.##.###...#.##########.#.##......#.#.###.#...................#....#.#...#####.......#.###.....#####.....#.####.######......###.##.###.#####...##.##..##.#.##.#####...#.##..#...#.##...###.##.....##.#.#.....##.#.#.#....##.##...##.###.#...#.###..#...##.#.#.#.##....#.##..#.#####.#.##...#.....#.##.#.#.....#.#####....####..##...#..###.###########........#.#####.#.###.###.#...##...#......#.#......##......###.##.#.##.#.##.##.##.#
###.####.#.#.##.#.....#......#.##.####..#########.##.###.#...##.###........##########.#.##.###..#..#..###.#.########.######.##.#.#######.####.#.#.###...###.###.######.##....######.#..##......#..#.##..........#.###.##.##..#..##..#.##..##.###....##.###.######.#.#.##.#.#......###.###........####.....######.#####.#...##...#.#......#....#.##.##.####..##....###.##.####.##.#...##.####.#.#.##.#..#.###.###.####...##.#.##.##.####.##..#.#..#......##.#.###..#...##.#####.######..#######...#.#.##.#.#......###
#.#...##.#.#.#####.##...####....#..##..##.####.##.#####..###.############.##...##........#.#.##.##...##.##########.#.#.#.##########.##.#.#.#......#.##.##...#...##..######.###...#..##....#.##...##..##.#.##.##...#.#..#.###.##.###.#....##..#####.##...##.##..#.......########.#.....##..#####.##..#.#####...#...#......########.###.####.######..##..###.#####.##.#.##.#....##.###.####.........###.##.#.#.##...#.#.#.......#..#...#####.##.#.##.####.#..#.##..#############...#.###.##....##.##...##...#.###.####
#.#####......#.#.###..####.###.##.##..##...#....###.#.#.####.#.#.#.####...##.#....#.##.#.....##.###.###.##..##.#.#..............#............##.#......#######.####.#.#.##.#.###.##..###.##.#..#.#..##..#.##.####...##.#......#.#.#...#.####.#.....#..########...##.#####.#..########..#####.....##.#.....###.###.######....##.#....#...##..##.#..###.##.#...###..#....#...#####.###.#.####.#.###..##....#....##.##.#.##.#.##.#.##.###.##..##.#.##.#######...##.##.#.#.##..#.#.#.#........####.....######.....#....#
#..#.#..####...#...#.###.#.....##..##..###.####..#..#.###...............######.####.########.##.#.#.##..##.##..#.##.##.#.######.####.#.##.#.##..####.#...#.#.###.............##.....##.#########.#############.####..#.######.#.#.#.######.#.##.##.##....##.####.#..#.##....##..###.##..##.#####..#.#.###.#...##...#####.####..####.#.###..##..##.##..#..#.###.##.####.#.#..#.#....#....##..###.#####.##...#.##..#....######........##..##.##.#.##.....##..###..........##...#.###.######.##...#####...#..###.#.####
#.##.####..###.#.#####...#####.###..#.##...##.##.##.#...######.#.#########.#####....#...............###..#..##.#.##########.#.#.#.#############.#....###...#...##.##########.##.###..#.##..##.#####..#...........###............#.#....#.#.#..####..##.###....#####...#####....##...###.##...###.##.#.#.#####.##.###......##..##.#....#.##..#.##..###...##.##..#..#.#..#.####.##.###.##..##..#...#.#..##########...####.#.####.########.##.##.#.##.######.###..#####.#####.###..#..#..########.###.###.##...#.#...##
#.#...####........#.#..#..##.#.#.##.#.####.##..#......###..###.####...###..#..##########.#####.##.#.#.##...##.....##.##.#.......#.......#######.#.#.###..###.###..#....#.#...#######......##....#.##.##.###.##.#.....#.#.#.####.....##.#.#.##..#...###.#####.##.#.###.#.#.####.####.#.#.##.#.#...##...#..##...##..#######..#.###.##.###..#.##..#.##.#.####..##...##.##....##..##..##..##.###.#.###.##.....#.#.##.###........######..##..##....#.#..#.#.#..#.#.###.##.###.#.#.#.##.##.##.###.##...#.###..#.#######..#
#...#...##.######.#.#####.........#.#..##...##.##.###.#.##...####.###...##.#.##.##.##..####.....###......#....###..#.#..#######.#######.#.#.##..#####.##.#.#.#.#######.#.###.#.##..###.######.#......######.######.#.#.#.#.#..##.##.####.#.###...#..#..#.##...#.#.#.......##.#........#.####.###.##.###.#####.###.#.#.####.#.##......##.##.##.##.##.#.###..##..####..##.#####.#..###.#####.#.#.#....##.####........##.#.#####.#..##..#.###.####...##.....##.#......#...#.............##.#.#.#..###.#.##......#.#####
##.####....#....#....###..#######.#.#.##..#.......#.....####..##....###.##.#.#.....###.##.##.#.##...#######.######...#.##.#.###.#.###.....#..####........#.#.#.#.#..#....#...#.##.##.#.#....########...##.###.#..############....##..##.....#######.##....###.#.#.#######....##.#.#.#.#..##..##..#..#.#.##.#...##.#.#....#.#.###.#.####.#......#.#..#.#.##..#.##.#..##..###.#.#.##.#...##..#.....#####..#.##.#####..#.######..#.##..##.##..#.##.####.#####....##########.####.#.#.#####...#.#.##........##.###.#.#.#
#####.####.##.#...##.....##.........#..################.#..##.##.##.....#....#####.#.#.##.###############.#.###.####.#.#......#.#.#.###.#...##..#.##.###.#.#.#.#.##.##.#.###....#.#....#.#####.#...###.....##.#.###.#.#.#.##..##..##....#####.###....###.##.......#.###.###.#########.#.####..##.##.#....#.###.##.#.####.#.#.#.###....#.#.###.##.##.#.#..##...##.#.##..##.#.#.#....##.##..##.#####.##..##..#.#...####..##....##.###.....##.#.##.#.#.....##.####.#.#.#.#...##########....###.#.#..######..###.#.....#
#.#....##...#.##.##..#.#.##.#.#.###.#.##.##..##..##.......##...#.#..#.#...##.#.#...#.#......##..............#............##.#.#.....#.#####..#.#######.#.#.#.#....#..###.##..##...####....#.#....#..######..............#.###.#..#####.##...#.#.###.##....#####.#............#.#.#.#..#..#.#.##..##...####.##.....#.#.#........##..####.....#.##..#.#.#.##..###..#.###.##.......#####..#.###.......##.####.....###....##..#.###.#.###.###...........#.###.........#.....###.##.#.#...######.....########.......###.#
#.##.#....##########.#.#..#######.........#.##..##..#####..##.##########.##....###.#.#####.###########.######.##.#.##.#######.###.#....#.###.#..##.##....#.#.####.##.#...###.####.#.#..##...#######......#####.########.#.#.####.#........###.#......###.##.################...#.#.##...##.#..##..###..##...###.###.#.####.#######.##...#########.#......#.##.##.#.#.#....#.#.#..##.#.##.#.#.########..##..#####.##.#....####.....###..###.###.#.#.##...##.##.###...#######.##.#...######.#.###.......##.##.########
#....##.#...##.......####.##......#.#####....##..#####....##..#.#..#.########.##............#.#..###.#.#..###########.#....#..########.#.#.#...##.....##.#.#.###..##.###..####........#####.##....####.#.##.#####.........#.##.#######.####.#.#####.##....#.#.###..####.##...#.#......#....#.##..####.##..###.#.##.....#.....##..#.##.###...###.#...######..#.##.#.#...############.#.##.#.#..##..#.#.##..##.#...##.###.##..###.###.#.##.....###.#.####.....#.#####.#####.#......###....#.#.#####.###..######.#....#
#.##..###.########.#.##...#####.#.#.#...####....##.#.####....##.##....##......###.#########.#.##.....###.##....###....####.##.#..............#####.#.##..#.#...##.#...##.##.#########.#.#########....###......#.#########.......##.#.#...##.#.#......####.#.#.#.##....#.######.##.#.#.#.##...##.##..#....####....###.#.#.#.#####....#.#...###.#.###.....###.#.##.....#...###.#.##.#..........##..##.#..##......#.....#####.##...#.#.#..#.###..####..####.#.##.....#.......#.####.##..####......##...##..##.##.#.####
#.##.##....##......#.#..###.#...#.#.#.#......##......##.####.....###.########.#.####..#.#.....#..###..#...####.#.####.#..#.##.########.#####.#.#.#######.#.#.###..###.#...#...##...........##.##..##..#######.#..##.########.##........####...####.###.#........##.##....#..#...############.##.###...#####.#.########.#.####.#..##.....#...#.#..##.##.##.#.#.#..#######..#..#.#..#.##.##.######.##...####.###########.##...##.##.#.#.##.####....##.#.#####################.#.####..##.##.###.#########.#..........#
#.##..#.##########.###.##...###.#.#######.#.####.###..#.#.######.#...#........#.##.##.#.###.#.####.##.###..###...#.#####.#.#....##.....#.....#.#.##.#.#..#.#.#.##.#.#.###...###..##.#.#######..#.####...........##......#.....##.#.###.##.#.####...##..########.##.#..##.##.###.##.#.#.#......#...###..##.#....#.#.#......##..#####.###.###.#.##.....####.#.#...#####.###.#.##.##....########.#..#..####....#.###.####..#.###...#.#.........#######....##.#.##.##.###.#.###.....###....#...#####.###########.#######
#.#..##.#####.##.#.##...###.########.#########.######...#.#.#.##.#.#.######.#...##......#.###..##.......##.#.###.#.#.#.#.....#.#############...#.##.#.##.#.#.#.#......#####.#.#######.....#.##.###..###.#######..######...##.########...#.#..#.#.#..##..#...##...######..##.##.......#.###.##...#####.##..#.####...#####.####.##..#.#########.##.#.#..##..#.##.##.......###.#..###.#######....##...##..##.###..#.....#.##.##..###...##.#.##.......##.#..........#.#.#.#.....#####.##.###.###.#.#....##.#.#.........#
#.#####.#..#..##.#####.##...#..#.##...#............####.#.#......###.#...#####.########.#..###.#..#####.##.#.#.......#.#######.#.##...#.##.###.#.##......#.#...######.#.###......#.#..#####..#..###...###.......##......#.##.##...#.#.###...##.####..##.###.##.#..#.####.......#####...#.#####.##.#.#..##.#...##.#####.....#...##......##..##..######.###...##.##.#######...#.##.......##..#####.#..##.#....##.#.###.#..#.#..##...############.#.##..#.##########.....#.#####.#.#.#..............####......###.#####
#.##..####.##.#..##.#######.##.#.####.############.#.##.#.######..#..###.#.#...#.#.#.##.##.....######........#######......#.#....####.#.#.........####.#.....###.##.....#.###.####.##...#.##.##...###.####.####.####.#.##########.......###.##..#...##..##..#####......######.###.##.#...##....##.#.#.###.#.###...##.###.###.#####.#.####.###.###.#.#..##.####.##....######.#.##.#.#####..###.#..####..#.####.....#####.#.##..##.####........#####..##....#..##.#.###...............####.######.###.##.###..##..####
#####.###..#..##..#.#.#.#...#....#.##..##..#.##....#.##.#.##.#.##.##.#.....###..........######.###....#.#.##..######.####.#.####..##......#.#####.#.########..##..#####...##...##.....###.##.####.#.#.#.#####...#.######.#.##...##.#.#.###...##.#.#..##.###.#.########........#...######..####.##.....#.#.#..####.#..#.#..##..##.#.###..#.##....#.#.#.##..##......##....##....##.#.....##.#.#.##..#.##......##.####.##....##.##.....#.#########.##.####.#.#.###.#.####.##.#.###.#.#....#......#..........#.####....#
###.#.#.##.##..##.#.#...###.####.#.###..##......##...#..........#.#..#####.....##.#.###.#.#.##.....#.########........#.......#.##....###.#####......#.##...##..#.##.#.###..##.####.##......#.#..........#.#.#.#...#.#.......###....###.#.##.##..####.#..#.#.#..#.##....#####.##.#.#.#.###....#..#####.#.#.##..##....##.##.##.##.....##.##..#.####...#..##..##.######.#.######....##.#.##..#.#..##...##.#######...##.###.###..##.###........#.....####.#####..........#..###..##.#.##.#.#.#.#################....#.##
#...........#.##......###......#....##.######.######...##.#.#.#...##.#.##..##.##..###..........##.####.####.########.#.#####......########.##..##.#...#..#..##...##...#.#.##....#####.######.###.######.#.#...#.#...####.##...###.##.........##..##..##...#...##..###.##...######.#.....####.##.#.##..#.#.###..##.###..##.##..####.###..##....#####.#.####.#.......#####..#...#.#########.#...###.###......#.#.####..##...##....###.##.###.#.######.#.###...#.#.#.#.##.####.###.#..#.#.#.#...#.##.#######.####.##..#
###########....######.#...##.#...##.....##.#..#......####.#######.........##..#..######.#.#.#.#####.#...#.#.##.##.########.##.#.#.#........##########.##.##..###..###...#..##.###.#.#..#.##..#.####...#.#.#.#.#####.#.#######.#############.###.####.####.##.####.########.###....#####......#....##.##.#.#.#.###.#.#.##..##.####..#.#.##..####.....#.#.##...###.####..##.##.#####.##..##.#.###.#.#.#.######....##..##..####.####.########...#......#.#.##.####.#.#..#....###.###.####.#.#.#...............######.##
#..###.#..##.#..##......#..##########.#....######.#.###.####.#.###.##.#.#.##.##.##......#.######.#..###.#...........#.#.......#.#.#.##.#.#...###.#.#..##.###.#.##.#.###.##.##.#.#...##......##.##.###.....#######...#.#.#.#...#..#.#.#...........##..#.#..........#.##..##.#.####..##.######.####.#...#.#.#.#.##..#.#..##.##..#.##.#.#..##...####.#.#......#...####...##..##..##.#..##....#.###..........#.####..#.###.##.#........#.....##.##.######.#.......#.#.#.##.#####...##.#..#####.###.#####.#.#.#......####
##.#.#.##.#####.##########.##.#....####.##.#.#.######..............####################.#.##.#.#.##.#.....####.####.....##.##.#.#.#.##.#####.....#.##.####......#.#.#.#..#....#.###.###.######.##.#######.##.##.###.......###.##.......#.####.####..##.###.#####.##..##..#.#.#..##..#.#......###..###.....#.#..##.#...###.#..##.##.#.#.##..###..###.####.####.####..#.###.##.##..##..##.#.#.....#.######.....###...##.......####.#...#.#..####....#.#.##.##.#######..#.####..#..#...###.####.....###########.#####.#
##.#......#.##..#.#.#.##.####.####......#..#.#.#.#.###########.###.#.#.####....##.##....#.##......#.##.##.#....#....#.###..##.###########.######....#.#.#..#.##.#.....##.####...#.#.#.#.##.##..........##.....#.#.#.####.##.#..#####.#.###....#..##..#...####....###..##.......####...######.....###..#####.#.##..#.####..#.###.........##...##.##...#.#...##.#..#.####.#.##..#.##..#####.#.########.#.#######.##.###.###.#...##.#.##########..#.##.#.##.#####.#..######....##.##.###......##.#.##..#.#.#.####..#..#
#..######.#.###.#.........##..#..##.#.#.##.......#.#.#.###.....#...#....#.####.......##.####.#.##.......####.#.##.#.####..######.#.##.##.....######.....######....###.....####.##.#...#..#.#####.#.#.#....###.....###.....#.##.#.###########.##.##..##.####.####...##.###.####.##.##.###.#...###..#..##.##....##.##.##.##.#...##.###.#####.###..####.#.#.#..###.##.#.#..#..##.#..##..#.#...........#....#.##.#.##.......#.###.##.####.#.#.#.##.####.#............####.###.#########.##.#####..#.###...#......##.#.##
##.#.#.##.#.#...########.####...#######.#..#####...........###.##.###.#....#.#######.#..###..######.#.###....#.#..####.##.##.#...........#.#...#.#####.####.####.########.#.#...#.###.#.##..###..############.#.#.#######........#.###...##..#...##....##.#.#....###...#####....#.#...#....#.####.##.##..##.#........#.##.##.#####.#..#.#..#.##.#.#......##..##..#.#.##...##....##..##.#.#.#######...##...##.#....#.##.########.................#.#...##.######.###.#.....##.##.##........###.#...##.##.#######....#
#.........#.###.#.#......#..###..#.#.#######.....##.###.##.#...#..#.######.#.##..##..####.####......###.###.#####.#.......##.#################.....##...#...#..#.#...###....##.##..##......##.##.####.#####.#####.#.##..########.#.#.###.###.#.#####.####.#.####.##..###.#.##.#.#.###.########.......###.####.###.##.#.##..#.#.##..#.##.##.#.#..#.###.##.###..##...#.###.##..######.##...####....##.####.###.#.##.#######.....###.######.#.##.#.....#..#......#.#.#...######....##.###.####.#.##.##.....###.##..#.##
##.######.#..##.#.######.#.#####.......#.#####.#..###....####.###.#..#.###...###..####.##..#######.###...#..#.#.#####.#.#.##.......##..#..##.#.###.####.###.##.#####.#.####..#..##.##.###.##..####.#................###.#.##.#...........#.#.#.#.#....##.....#.#..##...#.#.####.#.##..#.###.#..#.#.#.#......#####..###....##....##.#..#.##.....##.#.###....#####.###.#....##...#.#..#..#..#...#############....######.#.##.##############################.#######...#######..##......#....#.#######.#.###......#####
##.#....#.#.##..#.#####.....#.########.#.#.##..##.#...#.###...##..##...#.#.#...##..##.....##.##....##..#.#.##.........#.##########..##.##.#..####...#...........#......##.##.##.......#.#####..##..#########.##.#.#.#.#......###########...........#########.....##..###.#.#.#..#.#..##.#...########.####.###...##..##.#######.##....##..##.#.###....###.####..#..##...#.##..###.##...###...###.####.##.#.##.###.#......#...#.#..##.......#.#####.##...####.#.###.###.#.....#####.#########.##.##...#..###.######..#
#..##.#......##.#.#...#####....###..........####..#.#.###.############.#...###.###.##.#.#..#.#..##..####.######.###.#####.....#.###....##.##.##.###...#.#.#.###...#.##.......###.##.#....#.#..####...##..##########...######..##.......##.#.##.#.#..#.#.#.#..###.##.##.....#.##.#.##.##.#.###.#.##........#.###.#..##...######..##.####.#####.#.##.#.#.#....##.#.##..#######.##..#..#..##.####...##.....#.#........#.##...###.#.###.#####...#.#......###.#.........##.#.######..#......###..##..##.#####.#......##.#
#.########.###......###...#.####.##########...###.#######.#.##.#.##......#.##..#.#.#..####.#.########.#..##.##..######..#####....##.##.......#..#.###########.#######..#.###.#.#######.###...###.###..##.#.##..#.#..#..##....#####.###.####.#..#.##.......##.#...##.######...........##.#.##..#.#########.#..##...#####...##.#.##...##...#.##...####.#...##.#..#..#.#######...##...#########...#####.####.#.###.########.##.............#.###.#.########.#.#########.....#.#.#.###.##.##.#.####.##..##.....######..#
#.##.#.......#.#.##..####.#..##...#..#.#..###.#.#######.#.#.#.....#####.######.....####......#.#..#.#.##.##..####......##.#...#.##..####.###.##.......................####......##.##..#.###.##...###.#....###.....###..##.#..##.####.....####.#######.#########.....###.##.########.#..#..##....##..#....#.##..###..#..###....####....#...##.###.#..#.#######.#.##.##.#.#..#####.######.#...####..#...##.#...#.....#.#####.###.#.#.#.#####.#.#..##.##.#....##.#.#...#.#.....#..########.#..#.#.###..##.#######.##.#
#.##.###.#.#...#..##..#...#.#####.##.....####.#..##.#...#.#...#####.###..######.##.#.#######.#.##.....##.##.##.######.##..#####.#..##....#......#.#.##.#.##.#.######.##.##.#.##..#.###.#..##.#..###.#.##.###...###.#.##.#####.##.##.##.######..##.#.....##..#.######.#.#..###.##.#.#.##.##.#####..##.####.#.###...##.##...##.###..##.########.#...##.#..#.##.#.#.......#.##..##...#.#..#.#.###..##.#.####.#.######.##.#.#.#...#########.###.#.#.###..#.#.####..#...###.#.#####.##..#.#.#...##...#.#.##.............#
####.#####.#.#.#.####.###.#..##.#..#####.#..#.##....#.#...###...#.#.....##.##...#............#.######.#..##.##..#........###.#....##########.##.#.######.######......##....#.###.#..##.#.###.#.##.#........#.#####.#.....##.#.#..#..#....##.####..#.#.#..##.#.#.##.#...##.##................##.#.##..#.##.#.#.##.##..#..#.#...##.##...##..#.#.#.####.#.##.##.#.#.#####.#..##.##.###.#.##.#...##.##...##.........##.#..#.#.#.######.#..#...#.#.#.....##.#...##.##.#########.##.....##...##.##..###.#.##.####.########
#..........#.#.####.........##..#.##.#.#.##....##.#######...##.##.####.##...######.##.######.#.#...#..##.....##.######.#..#....##.##.........#..#.##..#..#.#.####.############.#.#.##..#.#.#...##.#.####.######..#######.##...##.##.##.###..#.###.######.##.#.#.##...###...##############.###..#..##....#.#.#.#..###...##.##.##..##.#..##...#.#.###.....#.##.#.#..##.####.##........#.#....####..##.######.######..#.##.#....##.#....##.###.....#.####...#.#.........##.#..##.######.####..##.#.#.#....##.####..#..#
##.######.##.###....#.#.###.###.#.#.......##.#....##.#.####....#..#.#######...##.#######...#...###.##.####.###...##.#####...#.##..##.##########.#..##.##.#.....######.#.###.#......###.#.#.###.#..####....#.#.##..##.....####..........#.##.#......##.........#.####..####.##.#.###.........##.#.######.....#.##.#.#.#######.###..###.#####.....#.####.##.#......###..##.....########.#.##...#..##.....###..###.####.##.#.##..#.#.#####.....#.#####..#.###.##.##.#####..##..#...#.#...##..##........##.##..#.##.#.##
#..#.......#.#...#.#######....#.#.#####.#########....#......##...##...#...###.##.##.##.###.##.##.#.#.......###.#......#.#.###.###.#..#....#.#...#####.########.#......#.......#.##.....#.#.##....###.###.##.#.###.######.#....###.#.##...##.#####.######.#.##...#.#..##.##..#.......#.#.#.#..#.#.##..####.###.##.#.#.##.###..#.##..##...#.##.####..#........##.#.#.#.######.###.....#.#.######.###.#####.#.##....##..#.....##........#..############.#.#####...#....##.####...#.#.#.#####.###.##########..##.#.....#
########.#.#.#.#.#.#...#.#.##...#.#.#...#..#####..##.####.######..###.###.###.##..#.#..........#.#.#######.#.#.######.....##....###.#####...#####...#.#.##.##....#.##...###.#.#.#..###......###.##.#.....#..#...#.#.#......####...###..#.#....###..#.#...######.....##...##...###########.##......##.#..#.##...#.#.#......##...##.##..###..#....##.###.###########.....##.#.....#.###.#.#.#..#.#.#.#.##.......######.#.###..##########.#####.##.#.##.#...##..#.#######.#.##.#####.#...##...##.##.#...###.###.#.#####
####.....#############.....####.#.#.##.##.##.#.####..#.######.###.##......#...###.....##.#.###.......##.#..#.#####.####.#..##.########.####....####.....##....#.#################.######.####...##.#####.##.#.###...#####.##....#...##.#...##.#...##.##.###########.###.########.###..#####..##.#.#..##....###.#...#.#########.##..##..###.##.###..#......##..#.##.######.#.#######.#.......##.#........#######...##.....######....#.#.##.....#.#.##.#.###..##.####.#..#.....#.##...######.........#...............#
#..####.###.#.#.#.#.##.#.#.#...............#.#.#.###....##..#......######.##.##.##.#.###############..#.##.#..##.....#..#.##..#...#.......##.#....#####..####.###.#..###...#.#.#####..#...#.###.##.##.....#.....#.#..##....###.###.###.######.###.##.#####.##.......#....#.####..#.#.##..##.##..#...######..##.##.##.##.##..##.##.##..##........##.##.#####..##..#..#..#..#.##...##.#.#####.#....#.#.##....##.##.##..###........#.##......###.....##...#.##.####..#.##.#.###....#.###..#...#.##.#.##.####.##.#.###.#
##......#..............########.#.###.##.#........####.####.######.#.##.#....#..######...........#.##.#.##.#.#######.############.#######..######.#####.##.######.##.#...#.....#.#.##.###.#.#.#.##..#####.#.###.####..####.##..#...#...####....##.##.#.#...#..#.###.###.##....##...#.###.##########.#.##...##..##.#..#...#.##...#.##.#########.###....#...##..##.##...##.##.##.###..#..#.####.######..##.####.##.###...####.#.#.#.#..#.##...##.#.####.##.#...##..##.##.#.######.....#.##.######.###########..#..####
#####.###.##.####.#.#####.#.##..#####.#..##.#.#.#......##...##.#......#.####.#.##.##########.#.#...........#.#..###...##...####....##...##...............#..###......#########........###...#.#.##.##.###....#####.##...######.##.##.#.#..####.....#.#.###.#######...##.#####.####.#..#...##..###...#.#..#..##..#.#.##.#.#.####.......#.###.....#..####.####.###.####............##.#.##.#.#.......#.######.#.#...##.############...##############.........#..##.#...........##.###...........#.###.#...#######....#
#.....#....###....#.##.........##.....##.#..#.#.###.##..###.##.######.#.##.#.#.#...#.##......#.##.#.##.#.#.....##.###.##.#....####..#.#.#..###.##.#####.##.##.####.#...##.#.#..##.###.#.###.#.#.#..##.#.##.###.##..##.#..###...##########......#.#.#.#.#....##.#.###.#...##....#.#.##.#.#####.#.#.#...##.##..#.##...##.###.#.#..#######.#.#####.#.##.....##....#..##..#.####.#####..#..#.#.#.#######.#..#.#.#...###.......##.#.###.##.#.###.#.#.#..#.##.##.##......#.#.#.#####...####.#.#.#.#.#.......###.###.####.#
##.##.##.#######.############.#######..####.#.#.#######.#.......#.##.....#.#.#.###.#..######.######..#.####.#.##..##...######.#....####.####.##########.##.##...######.##.#.#######.........#.#.##.##......#...###.##.#.##.#####.#..###.##########.#.#.##.#.#..#.#...##.##..##.#.#..#....##.....####.#######.#..##.###..##.#.#.###.###..#.##.#.....#.######.####.##..##....#####.##.#.##.........#.####.#.#.#.#.....########...#.####.........#.#.####..##.##.######.#.#....##.#....###########.##.##...........##.#
##########...#####.............##.....###.#.#####.........###.#......#.#...#.#.....#.##.##.#####.#..#####.###.###..###..#.#...####.#.#..#.#..#..............###.#.#.....#.#..##.########.##...#.##.#######...###.#..###.##.#.###.##..#..#####.#.#....#..###.##.#.#.#.....##.#..#.##.#.#########..#.#.##.##...#.##....#.###.#....#....##.#.#....##.##.#.##....###....###.######...##.#....###.#.###..##..#.#.#.#######....#...###..##..####.##........####..##....###.#.#.##..#.#.#####.#.#.#.#####..###.###.######.#
#...###.####....##########.##.##..#.#.##....##....###.#.##################.#.#####....#.#...##.#...##.............##.##...###.#.#..#.##.#.##.####.#.#.#.###.#.#...#.#.#...#.##..#.#.#########.#.#...#.#....#####.##..#..#..#.#.#.###...##.......####.##.##.....#.######.######.#.#......##...###.#.......###.#.##.####.#.#.###.##.####..#.###.######....##.###.####...###.##.###......##.#####.....####.#.#...##......####.###...####.#.##..#.##.#.##########.####.########.####...............##..####...#......#.#
###.#...#.#####..##.#......#..#########..#.#####.##.#.#.#....#.#.####.#.#..........####.###.#....#.###.####.#####.....#.#.......##.........#.##.##########......#.#.#####...###.#.......##.##...###.#.####.###.#..##.##.##.#.#.#.#.###.#..#####..#.#..#.######...##..#...###.#.#.##.##.#####.#.#.#####.###.....##.#.##.#.#.#.#.#.....##...##..##.#.#.####..##....##.####...#.#.#.#######.....#.######.......#....##.#........##.##.##...#####..#######..##....#.....#.#.#.####...########.#.##..#####...###.#.##.#.#
#...###.#..#.###.#....####.####.........##....#####...###.##..............#.#.##.#..##..#.#.###.##...####...#.....##.########.#....#.#####......##.#.#.##..###.#######.#..#.......#.#.#.....###........##..#.#.#.##..##.##.#.#.#.#.#.#.######.##.#.##.....##.###.###.###..#......#####.##..#.....#.....#.####.##.....#.#...#.#.#.########.###..#.#.#....##..##.###.....##.##.#....#....##.####......#####.####################...#.#..#....##.###.##.#.####.#...###........#.###......#########...#.#.#...#.#..#.###
#.#.....##.#.#.#.###.##....############.#..##.#.....#.#....##.#.##.##.#.#.#.###..##..##.....#.#########.########.##...##...#####.###.#.....##.#...........##.....#.##....##.##.##.#.###.#.#..####.####.#..##.....###.#..##...#.#.....#.#.#..........####.###.#........###.##.#.#.#.#.#..##.#####.#####.#.#.......##.##.#.###.......##.##...##.##.....#.###.###.....#.####..#.#.####.##################.........#.#.#.##.##.#...###...##########.#.........###.########.###....##.##.#........##.###.#.##.###########
#.##.##..#.........###..##.#..##.#########..#######.###.#.#################.########....#.#...##...#.#..##.#.....##.#.####.#.#.##########.############.#.####.##.#.####.######..############......#....##.#####.##.#.##.####...#####.#.#.#.#.##.#.#......#.#.########...#.######.......###..##......##...##.###.###.##.....####.#####..##.##.....##.####.#.##..########.##.#.#.##.#.............##.#.####.######.............#...#.###....#.##..#.#########.......######.#############.##.##..#.....#.##...#.##.##.#
#.######...#.#.###.....##..##..#...........##.......##..#.#.#..#.##.##.#.####..###...##.#####.#..###.##.#....########.#.##.....###.##.######.#.#.....#####.####....#....##...####.......##.##.#####.##.....#.#..#....##.#.#..###.......#.#####..#.##.###.#.#.#.#.#....#....##.#..##.##.#.#.########..###.####...#.###..##.##.#..#.##..##...##.#######.#..#.##.##...###..#..#.#.#....####.######.##....##......###.#########.##.#.......####.###.#.#.......##.##.#.....#...##.#.##.##.####..##.##.####.#..#.........#
###...######.###...#.#..##.###...####.###.######.#.####.###.##...........#.###...###.##.##.##.##..#...#.#########.##.....###.###.#..#....#.#...#####..##....####.#...#.#####..########.##..########.##.###...##.####.##.#.##.######.##.#...####.#######......#.#.#########......##..#..#.#..##......##.....####.....#####..#.##.#.##.####.##.....#.##...##.#.....###.##.##.......##...#####...####.####..######........##.######.########.........#.#####.##.##.#.#.###.###...........#.################.###.##.#.##
#####........####.##.#.#####.###.#....##..#......#.##...#...#..#.#.#.#.#...#.###..#..####......##.###......###..#.#..###.#.....#.##.####...##.###.#..#####.##....#######.#.#.##.#.#.##.#..##.#......##.#####.##.#.#........#....######.#.###.#####......#.##.#.#.#.##..#.#########.###...##.#######..###.###....#####.#...##....#....#.#...##.####.##.###..#.###.##..#..#..#.########...##..#####....###...#..##.###.#......#..#...##.#.##.###.##......#######..#.###.......#.####.##....###.#......##.....#.####.##
#.....##.##.##.....######.....##.#.##..#####.##############.##############.....##.####..######....#.######.#.##.#.#.###....###.......##..#.....#..##...##..####.#####.#.............#....##....##.#.##.#.....##.#.########...####....#.#..#...##.######.###....#.#..##........##.###.#.#.....##.#.#.###...#####.##.##.###..####...##.#.##.###.#.....#...##.....####.##.##.##......#####..##.#.#.##.###.#.#...##....####.#.###.####...........#.#######...#.######.....#.##.##...########.#.#...##.######.#####.....#
##.#####.#...#####.##.#.###.#..#########.#.######.##..##.#...##.#.#.#.##.####.###.#.##.##.##.####.#.###.......#.#.###.##.#.#...#####..########.##..###..##...#####......#.#.#######...##....#############.#.###.......######.#.#####...##.#.###..##.#.######.#...#.####.#####.##.##....##.##..........###.#.#.#.##.##...#.##.###.#####.....#....#####.###..#.#.##.#.#......#.##.###.######..#.#.#..##....##.##..##..#.######...######.#.######..####.#####...###..#.#.###..##.###.#....#.....#..#######......##.#.##
#..###...##.##.....#....######..#...##.....##.....###.#....#...............##.##........#...........#.##.#.##......#..######.#.##..##..##.##...###.#.#.#####.#.#.##.#.########.#.#..#.###.#####.#..#.##.###.#.#######.#.........#.####.##.#.#.##.#........######.#..#.#.#......#.###################.##.............###.#..#.#.#.##.######...####.#....#..######......##.##########.#....##...#.#.##..#.#####..####....#.#.#.###...######....##.......#.#..#...#.##.#..######.......#.##.##.#######.##..#.#####.####
####.#.###########.##.#....####...#....#.#..#####.#.....####.#.#.##.#.##.#.......######.###.#.#.###....#.#.#..##.#...##..#####.###..##.##..###...#.#...#.##..#...##.####.#.#.......####.###...#.##.#.##.##.....#.###....###.#.#.#.#.##.##.#.#.##.#.######...#.##...##.#####.##......###.#.........#...####.######.###...#.##.....##..##.###.#####...####.##.#.##.####.####..#...#.#.#.#######.#....##.###.##..##....##.......##..#.#.#.#..##.###.#.##.....##.######.#.##....##.##.#####..##..####.#..##.###...#..#.#
#....#####.........#######..##..#.##.#.####.#.#...#.#.#.#....########.#..#####.#.#.......#..#########.##############.##.##.#####.##.....##.#...#...###.#.###.###..#####......###.#.#....##..#.........#.#..#.#.......#.########.#.#.#..##.#......####.#...#......#..#..##.#########.......#.#.#.#...#..##..#..#....####....###.####.##..#.#.#.....#.##....#.#.##.#.####..##.#.###.#.....#.#...##.#.....##.#..####.#.###.##.#....####.#.#.#####.#######.##.##......###....#.###..#....#######....#...#######.######.#
####.##..####.##.###.######.#..##.##.####.#...###.#############.##....########.###.#.#.#...###.#.......##.#..#.###...##.#.....#..######.#..#####.#...........####..##.######.#...#.##.#....##.###.###.#.##.###.###.#.#.#.....#....#.##.##.####.#..#.#.###.#########.#.##...#.##.#.######.####.#####.#.#######.####..#.####.#......#.##.##.....##########.##.#.##.....##.##..........#####.###.#..#####......##.####..#######.####.##.#.#.##.##.##.#..####..##.######..#######..#####....#.##.####.###.##..#....#...#
#.#...##.#.#####.##...#.......#####..##.....#.....##.#.##...#....#.#.#####.....##..#.#.#.#.##....##.##..#.##.#.#.###.##.#####.##.#.#.#..#.##.######.###.####.#.#..##.........###.#.#..#########...#........#...###.#.#.#.#.#...##.#.......#.#####.......###.#.###.#.#.##.#...##.#.####...#....##....#..##.#...#.#..##.#.#....###.##.##..###.#######..#...##....#.#####.....#.#.#.##.....#.#...##.....#.##.#.....####.#.....#.###..##.#.#..#.##.#....###.########.#.##..##.#.##.....#.####.######...#...##...####.###
#.##.##.....##.######.#.#.#.#.#.....###########.#....#.####.###.#######....###..##.#.#######..##..#####.#.#....#..#.....#.#...##.#.#.##........##.########.#.#.##....#.#.#.#.##..####.#......#..#.##.#.#.#.##.##...###.#######.#....###.#.#..##.######.##..............#####.#..#.#..#.#.#.#####.#.###....###.#.##..#.#.#.#########.##.####.......##.###.##.####.#...##.###########.#####.##.###.###.#.####.#.###..###.#######.#.###.....##......##......###.#.#...#####.....#.#.#####..#.#.##.#.###.###..#........#
#.#...####.##...#.###.################....########.#.#.#.#..#....##.....##.##..########.#.#..###.##.......####.##.#.###...###.#..#...######.##.##.###.##.#.....#..##.#.#.###.#..#####.###.##...####..###.#.######.#########.#########.###.#.##..........##############.##.#..##.#.#.#########..#.########.##.....#.##.#.#..#.#..##..##.##.#.#####.#..##..#.....#...####..##.#.#.#.###.##..##.#.#.#####....#.#.#.##..#.......##.......##.###.#######.#.####...#...#.......##.####.##.###.#....#.#......##.#######.###
#...#..###..##.##.#.#.##.......#.#.#.####.#.#.######.#.#.##...##....###.#..#..##..........#####...###.#.#......##.###...#.....##.###.#.#....#.....#.#.#....#.#...##..#.########.##.#..##..###.##.#..##...###.##...#..###.#......##..........###########............##...#.##..#.#....##.#.#.##.####.##.......###...##...#.##...##..###.##.....#.####..##.#.#####.####...###.......###.#..##......#...##.#.#####.##.##.#########.##########......#.###......#...#.############.##.....##...####.#.#######.#.#####...#
#.###.##.##.#..##......#######........#...#.#.#.#.#.........#..###.#######.##..##########.#.##..###.##########.##.#########.#............#.####.#.......#.#####.##########.##.###....####..##.#....###.#.#......#.##.......#.##....##.#.#.#....#..#..#######.#####.####.#.###.....#####.........##...#############..###...##.#####.##...###.#....##..###.....###.#.#..###.##.######.#.##....#.##...###..#...##............#..##........#.#.######.###.###.###.##.###.#.....#...##.#.##..###.......###.#........#####
###....#.#..##..#####.##...#.##.##.##.###...........#.#####.#.##...#...#.#######.#.....#.......##....##.....#.....#.####.########.#.###.##.##...##.#.#.##.#.....##....##..........#.##....######.#...#########.##.##.#####.######.#######.####.##.##...#####.#..........#.#.#####.....######.##.###.##.#...........##.###.....#.#...##.##...#.#####.##.#.#####.#.....###..##.....#..#.#..####.##.#.#.####.#####.###.##.####.##..#.###.##.......##...#...###.####.#.....#.#...##########.##..#######.#.#.##########.#
######.#.##..#.##.....####....#######.#...#.#.##.#.####.....#..#######...##.###....###.#######.#####.####.#...###.........##......#.#...####..#.#..#.#..#####.#.##.##....##.####.##.####.##.###..##.###.#.#.#######..#####..##....##.#....#.....#..###.....#####.#.####.....#.###.######..##.##.#...#....###.##.##..#.##..#####.#.###..####.###.##.......#.##....#####.#.##..#####.##.#.##..########...#####..#.#.####.........#########.#####....###.#.....##.####.########....##.###.....##...##..#.#............#
#.##.....###.#.######.#.####.##.........#.#.######.#.####.#.##.#.......###....#######..........#.......######.#...##.####....##.#.#.##.##....##.#.##.######...#.##.#..##.##.#########.#..#......##..#........##.##..##...####..#.###...#.######.#.##.#####..#.######....#.#.#.#.#.#.#..##.####..###.#.#####..######.#..##..#.##....##.##.....#...##.##.###....#.######......##...#.........###.##.##.###.#.##......#.#.#########.#...##......#.##..##.#.######..##......#..##.###...#..#.#.##.#####.....#.##.#######
#.#####.##.#.#..#.###.#.#....#################.##..#......#.#..##.#.##.#.####.#.#.#...#.###.#.###.##.#........#.#.#######.#####.#.###..##.##..###.##.#......###..####.##.####..##.......##############.#.###.......#####.#..######.#######.#.............##.....##...##.###.......#.##.##...###...#.###.....##.#......##..##..##.####..###.###.###...####..######......#.#.###.###.#.#.#.####......#...#.#.##.###.##.###...........#....###.######..#.###..##..####.#####.#####.#.###.#######.......##.#####..###.##
#..........#.##.#.#.#.#.####.#...##.######.##...#.##.########.########.#.##.........#.###...#############.#.#.#.###.........##..#.####.##..##.##...#.##.##.##...###.######.###.#..########.#.#...#.#.#####...#.##.##..##.##..##.#...##.....###.#.#.#####....###....#######..#.#.#.#..#..##.##.###.#...#######..#.#.##.##.###.##..#.#..##.#.#.#...##.###.##.#.#.##.###.##.#.##...##.#####.##.#.####...#..........#.....##.##.##########.######.#.#########.###.##.##.####...#.#..#...#...#.#.#.###.#.##..##.##......#
##.#.#.###.#.##.#.#.#.#.##.#.###..#.#...#.....#....#######.#####.#.##.....###.##.##.###...#.##.#..........###.#.#...##.#.#.####.#.#....##########.##.####...#.###.......#...#....##.#.###..#...###......#..#.########.##.##.##....#..#####.....#.#.#..#####.#...##.###.....######...##.##..#........###..#.###.#####.....##...##.#...###...#...###..#.#.#.........##########..#.....#.####.......#.###.##.##.##.#.#.#..#.####.##....##....###...#.#.###.#.#....#..#.#....#.....##.###.###......##.#..##.....##.#.#.#
########........#.#.#...#.....###.#.###...#.#.#.#.##........##.#......#.#.#...####..##..#.#.#....##.###.#.###.####.###.#.#..#.###.##.###.....#..######.#..##########.##...#...#.##....#.##.###...######...##.#.........#.......####.###.##.###.######..###..########...###.#.######.##..##.#.######.#.##...#.#.##.####.#..###.#....###.###.#.###.##.......###.###.......#....######......#.#######...#.##.##.####.#.##...........#.####.#...###.#.....#.....####.##...#####.##.##..##.#.##.######.#.##..##.#########
#.#.#.####.##.#.....###.#####.#.#.#.#####.#.#.###..###.##.#.##.#####.##.#...#.#....##..##.#################.###..###.#.#.#.##......#######.#...##..##..#####.#..#.###########.#######.#........#...###..#######.#.#.##...#####.##....#..##.#...#..#.##.....###....###.####.#..#.##...#.##..###.#....#.##.#...#.#...######..##.#.#####..#.........#..#########..###.######.####...##.##.###.#.....##.##..####....#####..#.#########...####.###.#.#.#####.#######.....#....#######..##............#.#..#.#####...##.##
#.......####..#.#.#...............#.#.....#.###...##...##.#....#.....#####.####.##..########.####.###.##.##.####.......###############...#####..##..##.#.#.#.##.#..##....#.#####.#......##########.....##.......#######.##...#######.##..########...#..#.#.#...##.#.####.####......#....##.##..####....#####.#.##.##.##...##......#.##.#.##.######.##.#.....####.########.####.###..####.....#.#.########..##.#...##..##.......#######.##...........#.#.#.#.#.#.######.#.#.#.####.#..#.#######.##.#.##..#.##.###...#
#.#.#.#......#######.##.###.#####.#.##.#.#######.###.#.#..##.#...###.#.....#.##.#####....##.........#.#..##.#..#######..#.##.....##....#..#....####...........#...######.#.#.#.#.#####.##..........##.#####.######.#.....###.##.##.#....###.#.#.###.##.#.####.##..........#.#.#.#.##.##.....##.#####.#..##.........#..###....##.###......##....##.......#.#......................##......##.######...##.##.#####.##..##..#.###..........#.#.##.#.####.#............#.#####.#...##...####.#...############.##.#.#.###
#.#.####.##.##.#.....##..##.#..........###.#.....##..####.#####.##...###.###.....##.####....#.#####.....##..#.##.......##....###..####.##...##....###########.###..#.#.#..........#.#############.#####.#####........##.##...##.#....##...........#..#.####.######.#.#.##.#.#.###.#...##.##........####....#.#.#.#...##.####.####.####.######.###.##.####.##.##############.#.######.#.#..#...#.##.###...#....##########.#...##.#####.#.#.#..#.#...#....#######.####...##....######.#.##.#.####.##.#..##...........#
#.###....##....##.#.##..##..###.#.#.#.##.....#.#####.#.....##.#.##.#.#.....##.#.###.##.####.###########.###....####.##..####.#...##.####..#######.##..#...#...#.##.......#.#.##.#.#.#.#.#.#.#.....#.###.#..##.######.#..#..#......#.####.#.######...####....####.########...#####.#.##########.#########.###.#.#.###.##.#..#...##.#.#..###..#......#....#..#..####.###....###...#.######.######........###.####.#.#...#####.##...######.#.#.####.#...##......##......#..#.####..#................#...###.###########
###...##.##.#.#####.#############.###..##.##.#.#.....#.#####....##.#.#.#.#.#..#.#......#..###............####.##.#########.#####.##.#.#######......##.###.###...######.#.#.#.#..#.............##.##.......######.#.##########.###.#.##...###.#.##.#.#.#####.#.#..##.#.#.###..##.#######.#.......##.#.#.#############....##.#.####.#.##.....####.#.###.####.##..........######.#.....#..#.#.##.#.##.#.#........#.#.#.###.#.#.##.#.#...####.#....###.#..##.###..##.#.######.#....##.##.###.#.##.#.##.###.#.#.#.......#
#####.#..#..####.#..#.............##..##..#..###.#.#.###.....##.##.#####.#.##.####.#.#...##...##.###.#.#.......#.#.#.#.......##........#.##.#.##.#......#..####........#############.#.#####.##...###.###.##.......##.####....#...#.##.###.....####....#.#....##.#........##.##.###.......##.#.##..#.#..##.##...##.####.##.#.##.#.#.#..#.###....###......#.##.#.#.####......###.#####.####.#....######.#.######.....#.#...######...#....#.#.##.########...#####..#....##....####...#..#########.##.#.#.#.....#.###.#
#..####.###..#.#...####.###.####.####..#.###.#...#.######.##.#..####.....#######.###.###..##.############.##.#.......######.##..####.#........#..#.#.##.##......#.#.####......##.#...#####....##.##...#...######.#..#.#.#..#.###.##.#####..#.#..######.....##.##.#######.###......###.##.#####....##.##..#..###.........##.#.##.#.....#########...###.######..#.#....#.##.#...###.###..##....#.##....#.#...#....###.....########.#.#.#.#######...##.#.###...#######.#....##......#.#.##.#.#.#####........#.#####.###
##..##....##...#.#.#....#...#......###.#.##..###.#.##..########..#####.###...........#...#####.#..........#..#.##.##...........##....#.#.#.##.########..#..#.################.#....####....####..#..#####..#.######...#...##.##..##..###..#####........#.#.##......###.....#.####.....#..#..##.##.....##...##.##.#####.##..#.##.#.#.#.#.#....##.###........##.###.#.##..#.#.###.......##..#.##....#.####.#...##.#####.###.#.##.###########...#####..#..######.#.#.#####.###.#.########..#.#.#.##..###.#######.##..##
###....####..##########.######.#.###...#########.#.#..##.#......##.......##.##########.#..#.#..######.###############.#####.##.#..#.######.##.###.#.###...##.#..................##.##.###.####..##.##...##.#...######.###.##..########.####.#.#.##.#.#.###.###.#.#.....#.#...##...#.#######.....###.######.##..####.....##.#.##.#.###.....##..###.####.##.##....#.####.####...##.######..#######.####.####.#..#...##...............##...#..#####.##.#.##.##.#.#.#....##.#.#######.#..##.....#.###.#.####..##...##..#
#.##.####.##...##.#.#.#######..#.###.####.#.##...####.#....#.##.#####.##.######....######.....##......#.........###...##....##.######.#.#...###.........#.##.#.#.###.#####.##.#..###....#.##...#######.##....###.#.##.#####..##......#.#.#......#..###.#...#.########.######.##.#.#.#.......######...##.#..###..#.###.#......##.....##.##..##...#.#.#######..#.##....###.##.#...........##....##........##.#.##.#######.#.##.########.###.####.#..................#.#####.##.##.#...##..###.#..#..#..#.##..#.###..##
#.#..#.......###.......##...##.###.#####.......#..##....#########...######.##.####....#...#.#....##.#.###.##.##.....###..#.##..#..........####..#.#.###.###..#####....###..#..##.######....#####.##.....####.##.........############.....##.##.###.##..##.##.##.#.#....###....#.#.#.#.#.##.#####...#......##.##.......####.###..#.#############.....#.##.#####..#.#.####..###.########.##..#.##..#.##.####.#..#.......###.##.....#..#............#.#.####.#.#.#.###...##.....#....#####.#.###.##.##.##....##.#.#.###
#...###.##.#######.#.#..###..#####.###.#.#######.#####.###..#.###.#..#####....##.####...#.####.############...##.##.##..##.###.###.#.##.#.#....######...#######..######.#####..###.#.##.#####.#..######...#...##.##.###...###...##...###.#..#..##..##.#####.........#.##.####.#.#.###########....#.##.##.##..##.#.##.####..#.#.####.#.##.#....###.###.....#..##.#.#......#######.....####.######.#.##....#.#.########..##..###.###.##.##############...##.#.#.#..###.###.#####.####.#.#....##.#........####........#
#####....#.#...########.#.#.##.....#...###.......#.#.###.##.....####..##.##.#.......#########..#...#.##.##..###########.#..#...#...#.#..#####.##.#.#..#.#.#.#...######....#.####.....#####..#.##..#.#.###...#....####.###...###.######.....###..##.##.##....##.#.#.####...###.######.##.......#.#######...#.###########.##.............#.#.########.#.#####.#######.###.##...#...#.#..#.#.#....#######.#.###.......##.######.....................#######..#.####...#.#...#...#..#.#.#...####..#.########..#.##.#.###
#...##.#.####.##.##.#...#.#..#####.###...###.#.#.#........##.##..#.##.#..#########.###...##.######.........##...#.......#.####.#.######.##....#....######.#.###.##.....##....#.#####.#.#.##...###.#.#.####.###.#.#.#....#.###....##.##.######..##..########..#######.###.##...###.....#####.#.#.##......#....#.#.##.##..#..#.#.####.##......###.##...........######...#.#..#...#.#.##.......#####.#.####...##.#.####.......###.#.######.##.#.#.#.......####.##.#.#######.#.###.##.....#......##.###.#.##.##.######.#
##.##..#.##....#.##...#...#.##.##......###.#########.####.....##......##......####.....#....###....####.#.##..#...###.#.#.##...###..#.#.#..#.#####..##.#....#.#.###.########................#...............##.###...##...#.###.##...######...######.#......######...#.#.#..#.#.###.#.......######.####.##.#.........##...####....#.##.##.#........#.#####.#..#.#.###.#...########..##.#.##..#........##.######..#####.##.##.###.#########.#####.#.###..#####..###.###...#.#......##.####.##................#.####.#
#.....########.#.########......#..##.#...#..##..#.#####...##.####.###....##.#......###.##.#.....#.##....#.##.##.#.#...#.#..##.#####.....##.#.#.####......##......#####..##.#.#.##.#.##.#.#.##########.#.#####..##..######.#.#...###.###...#######.##.#####.###.#.###.#.#.######.#.############.#.###.####..#########.####....##.#.#..#..#.#.#.#.#.##.##########...###.#####.#.#.############...###########.#.###.....#..#.....##.#....##.####.##.#..###...####.###.#.###.....#.#.##....####..#.######.#.#.#.#..#...#
#.##.##.##...........#.#..#.##...#######.#.####...#.#.###.#..#..#..###.#..####.#.###...#####.#.######.#####..##.#.#.#.####.#####.###.##.####.#....##.#.#.####.##..##.##.#....#.#..###########.....#####.####..####.#........##.##...#.###..#.#.#......##.###...........#.######.#..#......###..#.##.......####.....#..###.##..#.#.#.##.##.#.#.#.###.......#.#.#.###.#####.#.#...........##.#######..#.#........#.#.#.#.##.#.###....##..........####...#####.#..#.#.#.##..###.###.#######.#####.#####..#####...##.###
#######..######.####.....##.#..#.##.#......######......####.###.##.#.#######.###########.##..###.##.####.###.#..###.########.#.#..####..#..######.######.#....#..##.......##.###.##...#.#.#.#####.#..####....###...##.#####.#...###.#..###.#.....###.##..#############.#....#.#.##.####.#...##......#.#.#.#....###.##......########.##..#.#.#.#...##.######.......#.##........#.#.##.##..........#.##.#.############.#.####.######..##.#.#.###....###..#.##.##.#.#.#..##..########....#..#...#.....##.....#.#......#
##.##.##........#....###..###.##.##.##.#.#..##.###.#.#......#....###.##.###..#####.##.#...##..##.....#....##.#.##...###.#.#......##.#####.##.......##.######.###....###.#.####....###...............##.####.##...######.......#.......##.#.###.#.###..##.#.#.............####...#..#..#####....###.####.#.##.#.##...#.###.####..###..##.#.#####.#.#.........#.#.#....#.####.#.#.######..#.######....#.#.........########..#......##..#.#.############.##..#.##.#...#.##..##.##...#.####.##.#####.####.##.##.#.#.####
#........#.###.########..##...#..#...######.##..##.####.###.###.###.....#.#.##.#........############.####.##.########.#...######.....#.#...###.###..#.#.##...##..####...#..########.####.##.###.#.#....#.######.###.....########.####..#.#.....###...##......####.##.###.##.###.##.##.##.###.#.#...##...###########....##.#....##.#######.##.##.#.##.#.#.#############.#.#########.###.####..#.######.#.#######..#...###.###.##.####.#.#..##..##.##.#....##.##.#.###.###.#...#.###.#.......##..#....#..########....#
###.##.#.#.#...#....##..####.#######...##.#.##.##..#....#####.....###.#..........######..##...#.#.#..#.....####.##....###.#.##...#.#.....#..####.##.#.#.#..##########.#.####.##.##........###...######.#..##.####...#.###......#######...##.#.##...#....#.####....##.#....#.#.#.##..#.#......#.###.########...#...###.##....##..........#.....######.#########.....##......#.#.#.....###.##.##..##.##.#.#.##..##.#.###....#####....#.####....##...#.#######..#.#.#.#.......###.#.#...###.#.#..##.##.#.###.##.###.###
#...##.#.#.###.##.#....##.####..#....###.....#..####.####.....#.#..#######.###.#.##.....##..#.....##.#####..##..#####...#......#.#.########......##.#.....##..........#.##...##..#####.#######.###.#.#.#.##..#.#..#####...####.........#....#..##.##.##.###....##..####.#.......###.#.##.###.#.#####.####...#...#......##.#..#.#.####.####.#.####..#........#..###....#.####.....#.#......#..#.##..........##.##.....##.###.#.###.##....#.#.#####...##.##.#.##.#.....#.#.#.........#######...##...###..........#...#
###..###.###....####.#.##.#.###...##..#..###.#.##.#####...#.#.####.#.###...#######..#.#..########..#.#..###.###.#.....#...####.###.#......####.#......##########.###.#####.#..##.########.#..####.........##...######...########.##.#.##.#.##.################.#..##..####.##.#.....#.####...###.##.....#.#######.#.##.##.#.####...##.##.###....##...##.#.#...#########.###..#####.########.##....#####.##.....########..#.....##############.#.#.###..#..#.##.#.##.####.#####.#.####...##.######..#####.#.#.#.#.#.#
#...##...##..#.##..#.#.##....#..#####...##.....##.#.#.###########.....#..###..#..##.####..##.##.##...##.#.#.#.#.##.#.######....##..######..#.#####.#.##..#.#.#.#######.#.####.............##.##.######.######.####..######.......#..#.#..#.########.#.###......######.##.###..##.##.....####.#......###.#####.#...#.##..#.####...#.##......#.#####.###..#.#.#.........#.....#########.#..##.###.###..##..#.##.###.#.#.#.##.#####.#.###.#..##..#.#...##.##.........#....#.#######......########.###.....###.#####.#.#
###.##.####.##..##...#######.####.....#..###.#..........##.#.##.##.##...#####.#.##..#####..........#..........#.##############.#..####.###.#.##....#####.#.#...##...........#.#.#########.#..##.#.......#.#.#.##.##...##.####.#.#######.####.#.##.....#.###.##.###........###########.#.#.#########.#.#.###.#.#.#.#.#..##.##.#.#.#####.##.##.....#...##.#.#.##.#.##.#.#.#.#......###....###.#.......##..####....#.#.........#..#.........##..##.#.###..#..######.##.######.....#.##.#..#.###.#..###.#########....#.#
#...##.##...#..##..#.#........#######.##.##..##.#.#.#.#....#.#..######.###..#.#.#####.#...##.##.#############.#.#.#.#.#........##.#.............#.####.#.#.###.#..#########.#####.#.......##......#####........#.#..#.........#.#........##.......#.#...#.######.########.#.##.....####...#.#.#.....#...........#.#.##.##....#.#.....########.#########.#.#.##.#..###.#.#.#.##.###.#.####.#.#.#####..############...###.##.##.##.#########..###.#.#.#.##.####.####......#..#############.#.#.#.##.........#.##.#.#.#
#.#.#..####.#################...##.#..##.######.###.#.##.#...##.#.#....#.##...#.#.##....#.##.##.#...............#.#.....#.#.#.########.##.##.##.####........#..#######.####.##.##.#######.#..###########.###.#.#.########.#.#####.#.#.#.##..##.##.#####.#.##.##...##........######.#.#..#.......#.#.##.#.#.#.#.##.####..#.#.######.#......##..........#.#.###..##.#######.#..###.#..........#.....######.#.#.#.#..#...###..............#.#.##.....#.#.#...#.#....###.####.#####.##.#.#.#.#......###.#.#.###.######.#
########.######...#...#....####.#....#####......##..###..###..#.#.######....#...#.###.###.#..#######.##.##.####.....###.#.######.##....#..##.####..########.##.###.............#..##........##........########.....##.....#.#.....###.#.###.#..####.......##.####.#..####.#...##.#.....##.###.#######..#.#.#.#..###....##.#.....##.#.###.####.###.#######...##.#.....#.#####.......#.##.#####.######.#.......#...########.##.#.#.#######.#..##.##.......###.#.####.####.#............#.#.#.######.#####......##.####
#..#.......##.###.###...##..#.#.#.##..##...####.##.##...#####......##..########.......#...##.#.....#..#########.#.#.##..#.#.........##.##.####.###.....##.#.##.....###.###.###.##.####.####.###.#####...#...#..###..###.#.#.###.#.#...#..##.##....###.###.#.........#########......###.#..#...#.......##.#####.##...#.##..#.###.##.#.#####.##..#######..#.#.##.#.##.##...#.###.#.#.####.........#..#.#.##.##...###.##.#.######.#.###.##..#.###..#.##.#####..........#.....###.#.#.##............#.....#.#.##.......#
##...#.##.##..#.......#..##.....#.##.####.##....##.#######.####.##.##.##.#.#....##.#.##.#.##.#####...##.........#.#..##.####.####.###...###........#.#.........#####.###.####.......#..#....#...##....#...#...#####.###.#.###########.##..#####.#.#...#.....###.#.#.##...#.#####.#..#####.##.##.#.#.#..####.#...#####..#.##..##..#.#....#...##.........##.#.##.#..#..##.##.###.#.#....##.####.#...##....####.#........#.##...#####....##.......##.##..##.##.#####.#...#.#...#########.#.##.#.##...##.##.###..###.###
#..#.###...##.#####.#.#.####.##....###..#######..###.###.#...##.##.#.........##.##.#.#..#.####.#...#########.##.###.#####....#....#...###...#.###.##.#.#.#.#.####.....#...#...#####...##.##.###.##.#.###.##.#.#..#......#.#............##################.#.#####.######.........##.#.....#...############....#.##.##.##.#####..####.##...###..##.#.##..###..#.#.###.....#...#.###.#.##....######....##....######.###......#....##.##..###.######..##...........#.##.####.######.#.#################..######...#...#
##.#.#...#........##############.#...##.......######.....#.#....#..####.####.#..##.######.#......#..##.......#..#.......##.####.#########.#####.###############.#####.#.#...#.#.....#.##.#..##...#####...#######...#.##########.######..###.##.#.#.###....###.##..##.....#.#.##.#######.#.#.#.#............##.###......#.....##.#.#...#.#...##..#.#####...##.#####...#####.###...#.#.##.##..##.####.#########.###...###.#############.##........##.##.#.##.##.#.###..#.##...#.#..................#.####....##.##.#.#
#######.###.###.#..#.#.####......#.#.#..#####..#.#...###.####.#.##......#....##..####.##########.#.###.#.#.#.##.###.##.#############....######...##...###.#.#.......#...##.######.#.#.##.##..##.##.....#..##.#...#.#..##.#.######.####.##....#.#.....#.##.#......#####.#.#.###..####....#####.##.#######.#.#..##..##.#######..###.###.###.#######...##..#..#.....###.#.#.....###.#.#..#..##....#.#####..###.....#########.#####.#.##.....#.####..###..#.#####.#.####....###.....##.###.#####.###....#.##.#######.#.#
#.#.#...##..######......##..##.#.#.#######.###...#######.##.########.##.#.#.##..##.......#.###...#.#...#.###.##.#....####.##.#.#..#..####...#..#..###..#......##.##.##.##..#......###.#...####...########.#....#.#.##.#..#.....##.......##.#.....#.#...########.##.#...#.######..##..##.##.############..#.##.#..##......####..##.##...##.......#.#####.##########.......###########.###.#..####.......##...#.#..##.#......#..#.#.##.###.#....##..#####.....###....#.#.####.##.##....#....##.####.#...#....#.#.#####
#...###..#.##......##.#....##..#.#.###.....#.#.#..###.....#.######....#.#.#.#..####.####.......#.####.##.#...#####.####........##.##.#.####...###.#.##.####.######...############...#.##.##....####.......###.##.#.#..##...###....####.######.##########.##.#...##...#.#.#......####.##.#....##.#.......#####.##.####.##....##.....##.####.##.######.##..........####.##...##.....##...####.#....#.#.###..######......#.####.##.#.....##.#.#.##..##...#.#.#...#.#.####....#.##.##.#.##.#####....###.#...##.........#
#.#.....#################.####.#.###.##.##...####.#.#####.#.#.#.#..#.##.#.#.#.##.###########.#.#####...#####..##.#.##...##.#.#..........#.#####.#......#######.##..#.....###.#.##.#.###..##.#####...###########..#.##.#..#..###.#.##.....###########..........#..###.#####.#################..#...#.#.#.#.#.###...##..##.####..#.###.....#..###.......##.####.#.###...##.#....#.#.##.#.##.....#.##.#.....###.#.#.#.#.##...........##.##..#######....###.#.#.#.#.#...##.####.##.##.#.#######..#.#############.###.#.#
#.##.#.##.#.#.#.##.........#.###.##..#######..#.#.#.##.#....#.#.##.#.####.#.#..#.#........######.....#.##....###....##.##############.#...........#.##....##....##.#####..........######..####....######........##.########.#.########.###.#.#...#.###.##.#.#.#.##...##.######.#.##.##.#.#.##...#########.......#####.##....##.#...###.####.###.#######.....#.#.#.###..#.#############.##.##.########.####.....###.#.####.##.#.#.###..##....#.#########.#.#####.##.###..###..#.##.#.......######........##.....#.###
#.#######..........##.##.#.#.#######...#.####.#.....#....##...#....#...####.#.##.########..##.#..##.####..####...#.#####.....####.....##.###.##.###.#..##..####....#.....####.###.###.###.#....#.##......###.#.#####...##.###.##.#......##.#.###...##..######.########....#...................####.#.#.####.#.####.#...#.#.#####.###.....##.....##...####.#.#.#...##..##........##...####.##.......##......#########....#..###.#...##.##.####.#.####..#.#.....#.##...##.#.#######.####.####.#....###########.###.###
#.#.......###.###.##..##.#.#...###.###.#.#.##...#.#...#######...#.##.#..###.#.#..##.##.###......#####.##############.######.##....#.#..####..##..#########..######.####.####..###...#..#####.#.#########...#.###.#####...........####.#.#.....####....##.#.##.##...######...#.##.#.##.#######.##............####.....#.#.###.#...###.#.###..###..#.###.##############.##.##.###..#.#####...##.####..##.#.#.........#.#.##.##...###..###..............##.#.##.######.##..........#...##..##....##..........##...#.#.#
#################.########.###.#.#............#.####.####.....#.#..#.#.##.######...........##.###.#....##.....###.##.#.##......#.##.#####...####...##...###.#.###..#....##...##...###.##.#.#####.........#.#.#......#..######.##.##...#.#####....####.#.......##.#....####.####..###..#........##.#.#.#.#.####...#.#.###.###.###...#.#...##..##.##.###.#.#.#.......#####.#....##....##.#.#.##....#.#####.##.##.#####.#..#..###...##...##.#.#.##.#.#.###.#.##.#.##.#####.##.###.##.#..##....##..##.##########.###...#
###.##.#.....##.###.###.#####....########.###.#.#....#....#.#.#.##.#####...#.#...###.##.#.###.###.####.######........#....##.#.#..####.#..#..#.##.#####.......#.#########..#..###..##........########.##.#.########...##......#.....#####.....##......####.##.##.#.##......#....#####.##.#.#.#.##.#######.#....#####...#......##.#.###.####.###......#.#.#...#######.#.#.#.#.##..##....#.#.#..####.....####..####..###.###.#...#.##.#.#..#.#..#.#.#...#.####....#.##.....########.#####.#.####..#.......###...##.#.#
#...##.###.#..............#.####......#####...#####.####.##.#.#.##.##....#.....#.#....###.#...#.#.##..........#.####.####.#..#.####......###....###.#.#####.#....##.#.####.##.#...#########.##.###....#..#.##.....#.#..##.##.#####.##..##########.#.#.#....#..#######.####.###.###....##.###.#.#####.#.######.##.....####.#.#..#.#..##..##..##..######.....######.#....###.#####..##.########...####.#....##..#.##...###.####.##..###.#.####.####.#.###.###..#.##..#.#.#......##......#.#....#.######.#...#.#..###.#
###.#..#.####.##########.##...###.###.#.#####.##....#.....###.#.#..##.##.##.##.#.#.#########.##...###########.#.####......#.##.##.######.##..####...........#.##.#.........##.#.#.##.#.........#.#.#.###.########.#.####..#..#.#######...#####.##.#.#.#.#.###..##.#...##...#...#...####..##..#.#.#............######.##.#####.##.#.####..#.####....###.###..........#.####.....#.###..#....##.#....#.##.#.###......#.....##...#########.#.#.....#.#.##....#.##....##.#.#.##.#..#.#.#.##.#.####......###.#.#.#.######
#.#.##.#..#.#######..#....##.##.#####.....###.#########.#.#...#.#.#####..####..#.#.#.....#.#####.##.####.##...###..##.#.#####..##.....#..##.##..#######.#.######...#####.#.##.#.#.#....#######.....#######..#.......##...#####.#.#...###.......############...##....#.#..#.###.#.###.#..####.###...#.##.#.#.#..##.......##.#########.###.#.#....##.......#.#############...#.#.#...##...##.#..######..###.#.#.#.#.########..#..##.#..##...##.####.#..##.###.##########.#.##.######.#..###....##.#.#.#####.#.#.##.###
#......##.#.#.....##.#.##.#..##.##..##.####.###.........#####.#.#.##....##....##########.......#............#..###.########...#######...#######.#.......###..#...####....#.##.#.#.##.####......#.#.####.###.####.##.#..#.#.......###.#.#.#.###.#.#.#.#.#.#..#.##############...###.....###.#######.#..########..####.##......##.#......#.#.##.#..##.##.###...........##..#.#.#.##.##..####.##......##..##...#.#.#.#......#####......##..####...##.#.###..##.........######......##.#####..#########.....#####..#.#.#
#.##.#..#.#.####.##....#....##..###.##......###.#.#.##.##..##.######.##.#..##..##.#.#....##.##...#.#.#.#.#.##.##.......#..###.#.##.#..#..##...#.######.#####...####...#.##..###.#######...#.########.#............####.#.#.#####.........#.#.....#.........##..#####.#.##.##.#.#####.#.#....#......#.###.#.....##.....#.#.#.###...#.##.#.#..###.##..#....#.######.####..##.###.##.###..#.#####.###..#.##..#.#######.######.#.#.###.###.####..#.##.#...##..##.###.##......##.##########.##........####.#..#.###.....#
#######.#.#.##......#.##.##.###........##.#.....###.######......##.#########..###.....#.########.#####.#.#.#...#######...##...#....####.##..#..........#..#..#.#....#.#.##.##....#.##.##.######.#......#.##.#.######...#####.....###.##.########.#########..####.............#.#.....#.##.#...###.#####..###########.######.....#.#.####.#.###...#.####.##......#######..#...#..#...##....##....#####.##.##......#...........#...###.####.##.#######.####.##...############.......##....#.#.##.#...##.##.....##.####
#..#......#.#..#.##.######......##.##.#####.##.##....##....#.#.##..##.#...#..##.#####.#.#..#.##..#.....#.#.#.###.......#..########.######..##.#.##.###.##...######.##.###...##.#.#.......##.......###.##.#..#.#......####.#..##.##...##..##.##.............##....###.#.##.##.#.##.#.##.#..##.##....##.##................##..#.#.###....###...##.####.#..####.######...#.####.#.###.###.#.####.#....####..##.##.#...#.#.#.#######......#....#.......####.#.#..#..........##..###.###..#.#########.#######.######....#
##.##.#.#.....####..###.#..###.##..#..#.######.##.#.####.#.#.#####..#.###...##..#.#.######...########.###################.##.##.#......#..##..#############.##.....####...####.###.#.##.#######.#.#...#####.###.#.#####.#...##..#..#.#..##.....#.#########..######...#.#..#..#.##.#..#########..#.##...#####.#.####.##.####.###...#.#.##...#..###.##.##....#..#.#...###...######.....#.#####..#.##...###.##.##.##.######.......#.##.#...#.###.##.####.#.####.###.#.########..##.....##.#.#.#.###...#.##.......#.#.##
#..##########.#.##.##...##.#....##.##.#....#.######.##.###.#####.##.#.#...#.###.#.#.##.#.###.#.##.##...##......###................##.#...##..##.........########.#.#....#.###..##..#######......####.##.#.###...#.##....#######.##.####..###.###.###.......##......#.#.##.#.##..#######.###.###.######..###########.##..##...##.#####..###.#.###..##....#.###.....#...#.#.#.#.###.####...##..##..#####.#..#.##.#...##.###.#################.###.........###..#####........##..##.##..#.........#.#....##.####.#.####
##...##..##...#..######..########...######....##.##.#......##.........#######.#.#....................###..##.#...#.######.#.#.##.#################.####......#######.#.##.#...##..##...#.####.#.#....#........#.#######.#####.#..###....##...##..#...##.##.##.####.###.####.##.####.............##.#.##.....#.#......#.###.#.##.....#.##...#.....#####.##...#############.......#....#.#..##.###..###..####.##.###.....######........###.#..#########.#...##....##.##########..####.##############.##..#...####.##.#
####.###....#.##..##.###..........#.##.####.#.##..#.#.############.##..#..##......#.#.#####.#.##.#.#.##..#######.###.###..######..#.#.####.##.##.#.#....#.##.........###############.#.#.##...######.#.#.#.##.#.######..........###..##..##.####.#####..##..###....##...##...####.########.#.####.......#.#.....#.######.######.#.#.#..#.###.##.##.#...#..#..#####.#.#.##.#.#.##########.##...##.##...###.###..#...###...#....########.....##.#.....#.#.#..##.###..........###..##..#............#####.#.###.####..#
#........##.#..##......####.#.#.#####..#.####....##.########.#########.#.##..#.#.##.#.####..#.#..###.##.##.......##......###.#.####................##.#.#########.######.#.###.#.#.###......#.#......#.###.#..#.#.##.######.###.##..##########.#.##....##..###..##.##.####.###.............#######.##.#.#.#####.#......#.##.....############..#....##.##.###............###.####....#.####..#.#.....#......#######..##.#...##......#...#.#......#.###.#.#.###...##.##.##.#...##..##...#############.####.......#..##
##.#.###.#..####..#.##..#...#.#...####...#..###.###.#......#.#....##.#......##.#.#..#.#..#######..##..#####.#.##....#.####......##..#.#.##.#.#.##.##..#.##......######.#.......#....#..#.##.#######.####...#.##.#......#....#...###.#.###........#..##.##.##...##..##.#....######.########.##......########.....#.####....###.#..#.#.##.#..#.###.######...##.############........##...#.###.#.##.####.#.##..#.#.###..#.##.###.#.##...#####.#.#######..#####.##.###..########.###.###.##........#.#.....##.######.###
#..########..##..######...#.#.##.##.#..#...##...#.########.#.####......#.##.############.#.......###.##...###..##.#.###....##.#....##.###..#####..#############..........#.###.####.####..####......#.######..########.##########...#.....############.##.#..#..##.##.##.###.##.###........#..##.###.#.#.#..##.##....######...##..........##.#.#.....##.#.##..........#######.##.##.#....##.#.#.....#######......##.#####...#.###..#..#..#.#.......##........#...##.......####....##....##.#####.#.##########.##.#.#
#.##...##...#######..#..#.###..####.######.##.#.#..##..#.#........###########.#.##.#.#.....##.##.#....###..###############.#..##.#.############..##.##....###...###.#.#######..#....#.######.####.#.#....####.#...................#.#.#.###.............####.#.##..##.####......######.##.#########......#######..##.....####.##.##.##########.#.#####..#.##.#.###.####.#.###..#..######..###.#.#.#######...#.##.##.#.#.#.###..######...#####.#.##..#.#.##.#.##.##..#.###...##########.###..........#..#.#.........#
######....###.###.##...####...##........#...###.#.####.....####.#.#####.#..#...........#.##########.###.##...###.#.....#...##..###.#.##.#.##.#..###.#####.....#.###.#####.#.##...##....##......#..#.####....######.#.##.#.#.##.#.##.#.###...####.##.#.#.#....#.##.#####.###.###.#.#.##..###..#.##.##.#.#.........####.##....#.##..#........###.......####.#..#...#..##......#####.....#######.#.#...#.#.###.#.##..###.#.######.....####...#.#####..##.######..#####.#########.#.##...#...###.#.##.#...##...###.##.##
##.....##.##.........###.####..########.###..##.#.#.####.###....#.#.....##...#.#####.#.########.#.###.#.####.......###...#.#..###..#..#...#....##.....#.##.####.#...###...#....#######.#######.##.###....##..#.##..####.###.#######.#.#######....##.######.#.#.##.#.##...#####......###.####......######.#######...##.#..########.#.#.##.###.#.##.##....#.##.#.####....####..##.#.#####.##....###.#.......#.#####...........######....###.......##..#..#..##.###.##...#.##.##.#....#####...#########.##..#####..#..#
#..#.#.#..#############.....#####.##....####.##.#.#.#......###.####.#.#....#.#.#.....#####.##...#.##..#..#...#.#.#.###.###.##.#...###...#...##..##.##....###....##.##...#...##.##........#.#......##########......##....#....###..#####.#####.#.##..##.....#.#..###.#..#.#.#.###.##..####....#.##........#.......#######........#.#.#.##.....####..#.######..#....#.##....#.##..#........#.##..##.#.#####.#..##...#.#.#.#####....##.#...##.#.#.###.###...##..#.#....#...........##.....#.#....#.#######.###..##.#.##
###########.#...........#.#..##.#.#####......#........#.#.##.....######.#.##.#.####.####....###.#.###.##.###.#####.#...##..##.#.#..###.###.############.##############.######..#########.#.###.##.#..........##.##########.###.##...###.#...###.###.#..#.#.#.##.##....##.....#######.#.###.#.#..##.#.#.#.#.#####.##.#....############..#.######.#.##.....##.##.#.##.####.##....###.###.#######.##.##########..##.##.#####.....##.##.#.#..#.#.#...###.##.####...##.#.#.##.####.#.############.##.#.###.#.....########
###.#.#.......##.#.######.##......#.#...##.#...##.#.#.###.##.#.#.#......#..#####....#..#.##..............######.######.##.##..######.####..#.....##.##...#.#.####.##.####.....##.##.........#############.##.#..##..#########...##.##.#.###.##...##.##.#.#.#.#...#.#####.###.#.##.##.#..######.#####.#.######.......##.#..........##..##........###..#.######..###.....#.#..##..##...#....#.##.##........#.#####..#.......#.#..#.##.######.#.#######..###.#..#.##.#.#.##....#.#...........##.......#....#####.##.#.#
#.#.#.###############..#...##.#.#.....###..###.##.#.#.###.#############.#.##.....##.##.####.#.#.#######.##.#......#.##.##.#####.........#####.##.#..####.#...........##.##.#.##...####.#.##..###.#.#......#####.###.....#.#...#..#..#.#........#.##.####.#.###.#####.....##.....#......##.#.####.....#.#..#...#.#.#.##.##.###.##.#######.#.###.#####.#..##.###...##########.##.####.###.###.#..##.#.##.#.......####.#.#######.#####.....#########....####.##.####.#.#.#..#.##.##.##########..##.##...##.##.##......#
#...#.#.##.#.##.#.#.##...##########.#.#######..##.#.#.#...#...#.#.#####.#######.#####.....#######.#.#...##.######.......###.#######.#.#...#####....##....###.##.####.##..########.#.##.#..##.........###.##.#.....##.##.....####.##.#.#######.##..#.#....########.#..#####..###...##.#.......############...#.#.#.#..###...#####.......###..##..#.##.##......#.#......#.#...##....#.#.#.....##.##.####.#.#####..#####.......#...##..#####.#.##....##.......#.##.#.#.#.##.#..#.##.#.#.#.##.##.##.##.###..##....#.#.##
#.#.....#....#.........#.##.........###.......#####.#.##.##.#............#.#....#.....#.#...##.#......#....##.#.#.##.##.###.#.#...#######..#.#..##....##.....##.#.....#.###.##.#.....#.##.###.###.##.#...#....#.##########.##.................##.####.##.#...##.#.#####.#..##...####.#.#.###...#.####...##.##.#.####..##.#.....##.#.##...#.####....#.##.#.#.##.##.#.###.###.##.#.##...##.#.##..#.....###..#######.###.#.#.####.####....##.#.#..#.#############..#####..#.#.#####...........###..##..###....##.######
#.#####...##...##.#.#.#######.########..###.#...##..#..########.###.##.###.##.#####.#.####.##..###########........#..####.#.#.###..#.#..##.....##..##..##.#########.#...##.......#.#...####.#.#...##.######.#####.#.##......#####.##.#.#.##.#..#.#.#########.#....#.#...#####.#.#....#.######.##......#....##.#...###.#..##.#######..#.#.#....##.###.##.#.#..#..#.#.......####.#..#.##########.##.##...##.....#.#.#.#####.##.#....##.#........##....####.#.##..###.###.#.#.##....#.#######..##.####...#.#.##########
#####.##.#####.##.#####....#########...##...#.#.#..###.#........#...##.##..########.####.#.###.#.#####.#####.#.##.####.#......#.##.#...####.#.####.##########.##.#..#.#....#.###.###.#.#......##.########.#.#........######.##....######.##.##.###..###.#....####.#.###...#...###.#.##.#...##.#####.#.###.###.##.##.#.##..####...##.##.#.#.##.#...##.##.#.#.###.#.#.########.###.######.#...#####..#.###..#.#...........#....#.####..#.#.#.#.##..##...........###....#.#.####.##.######..#.###.##...#####.##.##.#.##
###.......#.#####.##.#####.#.#.......#..##.####.##...#.####.#.#.##.###..##.#.##.#...#........................#.#####...######.#.##.###.##...###.#...##.............#######.#.#...###.####.#.#.#..##.......##########........#..##.#......##..######.#.#.####........#.###...#.##..########.#........###...#.###..##.#..##.##.##.########.#..#.##.##...#.#.#..####.#....##.#...##...##.#.#.###.#...##...##.#.#.#.###.#.#.######..##..##.###.#..#.###.#.#.###.#.....#.####..##..#.........##...###..#.#.###....##....#
#...#.#.###...##..#....##....###.#.######..##...#..#.########.###..#...##.....#.#########.#.#.#.#.#.#.#.#.##.#..##...#........#.#......#..#.##....#..##.#.#.##.#.###.#.#...###.###....##..#.#.##.####.#.#....#.###...####.#.##.##.##.#.#.#####......#.#.#....######.#.####.##.##.##...#.##...#.##.#.##..#.....##.#....##...............###.####...#.#.###.##....####.####...###..#..#.#.#.....#.#..#.#..#.#.#.#...#####......#####.##...#####.#.#.#.#.#######.#######.#..###.###.#.##.#..###.####.#.....#.#####.####
#############....#####....##.....####.####..#.#.##.#####...######.##.#..##.##....#.#.#.##########.#####.######.##..#.##.#####.#.####.#...##.####.##.##..#.#.#..####......#.######..#.####.###.#..#....###.##.......#.##...#.##.##.####.#.#.#.###.##.....##.#.#.............##.#######....#.#.#.####..##.##.#.######.#.##.##.#.######.#..####.##.#.#.#...#####.#####.....#.######.##.......########.#.######.###.#.##.###########.########...###...###......##......#..##...###.#.#.#####...#.#.####.###.#...#.#....#
####.#.##.#.#.#.##.#...##.###.#.###........######..##..###...##.#.##.###########.......#.#.#.#....##....#.......#########............##.#####.#...###..##.####.#..##.#.#.###......##....###...##.##.#.#####..###.#.######.#########.#..#.#.......#..#.#.#######.#.#.#.#.#.#####.#.#.####.#.#.#....##.#..#..#.#......#.##..#.#......####..###.##.#.#.#.#.#......##...#.#....#...#..##.###.#####.#.###...##....##.#.....##.#.##..#.##.#.##..#..##.###...#.##..#.##.#...##..#.....###....##.#####.#.##..##.###.....##.#
#.............###....#.####...###.#.#.##.#..##.###.###.....#....#..#####..##.#########...#.#...##.##.##.##.###.##.#.##....#.#.##.#.#######.##.##.##...###.##.####....###.#...##.#..#.#####..#########.#.....##...#.#......##........#.##.##.###.###.###..##.##..###.#.#.#.#................###.#.########.########.##.##.####.##.#....##...#.####.#.########.#..#####.##.#...######...####.........#.#..##.#.#..#.#.#.#.....##...##......######...##.##.##.########.##############.#####....##....#.#####...###..#.#
###.#.##.##.#...#.######....####....#.#..#.##........#####.##.#...####.##......###.....#.....#.#..#...######...##....########.#..#.#..............#.#.#...#.......#.########.#..#.##.##....##.........#.#.#..###.#####.#######.####...##.#..##..#.######.#...##########.############.#.#.#.##..#.##.#.##..#.##.....##.##..##...#####.#####....##..#.#####....#.##......#.#.#..#.###.#..####.#####.##########.#.####.#...#.####.###..#.#.##.##.#.#.##..#.##..#####.###.#.#.##.#.#.....#.#.#####.#######.##.#...#.##.#
##########..##.####......##.#....#.##.#.#####.##.##############.####......####.#.#########.#.##########...##########.#........#.#####.##.###.####.#.####.###.####.####.......#.####..####.####.############.##...#..####.......####.#.##.##..##.#..##.#....#..###.#####.###.....#....###.#.##.##.#.......##.#..###.##..#.##..#..#.####...#.##..##.#...#.##.#.###..##.#.#.#.##.....####.......#.####.#.###.#..#....#.#.#.#...#......##.#.......#.#####.#..##...##...#...........##.#.##...#.##..#.#.#.#.####.#.#..###
#..##...#..#####.#..#.#.###.##.#.########.#.######..##....##.####....###.###.....##........#.##.......###..#.#.....#...##.#######.#.###..#.....##.###....#.#########...###.#.#..####.#....##.###.......#.##.#..#.##......#.#.#.#....##############.#..##.#.##.....#.#.###.#####...##.#...#..#.##.##.###.##....##....#.##.######......#.#######.##.###...##.#...#######.#.###..###..#.#######..............##.##.#.###.#####...#.#####.#.#########..#######..###..###.############.#..#.#....##............##########
##....#...##..##...####.#...########.#.#.....#.####..#.#####...#..####.....#.#.#..#######.###########.#.##.#.#####...#.#####............##.#.#.#..######.#......#....#.###.#.#.##....#.#####.#...#####......##.##################.#.##.#...###.....##.###########.#.#.##........#.##.###.####.##.##.#...####.##..#.##..#...##...#.##.........#..#...#.#.##.#.#..##.#...#...##.######......##.#.#.###.#.####..##.#..##.....#.#.#.....###....#.#####.......##.....###.......#.....#.#.#####.#....#.#.#.#######.#...#.#
#..#####.####....#.#.####.###.##.......#####.#.#..##.......###...##....#.#.######..##.###..####.#.#......#.#.#.....#.#.#.....#.#.#.##.#.#..#.####...##...#.#.##...#.####...#.###..##.#####...####################..##.###.#.#.#.###.##...#...#####.#..#.#................####.#.#..####.....#.#####.#.#.#....###.#.##.####..##.##..#.#.##.##.#.###.##.#..#.#.##....##.##.####......##.########.#...###.####.##..##.####.#######.#.#..##.##....#.#..########.#.#.....#######.#######.#.#.###.########...........###.#
##.##.....#.####.###....####.....#####.#.#...#.#.######.####.#######.###.#.##.#.##....#.####.#......####.......#.###.####.##.#.#.#.##.#.##.#..##..######.########.###.###.##.###.###.#.....#.........##.##......##.#.............#...##.###.###......##.######.#.#.#########..###.###...##.####.#...#.#.#.##..##.#.##...###..#.##.##.#..####.###.####.#.##.#.#..##..#.##.##...#.##.........#######..##....#.##.###.#..#......##.#.#.###.##.##.....###.##..#.#.###.#..........#...####....##........#.###.#.#.#..##.#
###########......#####.###.#.#.#.#.........#......##.....##...###.######.####.#.#####...##.....###.####..#.#.#.#.##..#....##.#####..#####..#.##..##......##.##....#.......##...###.######.###.####.#.......####..#.########.#.##.##.#####.......##.#.#..#...####.####........##...#...#..#......###.#########..#.#####.##...##.##..#.##....#........#.#.##.###.####.#.##..##.#####.#####.#.......#.####.#.#..#.#.....####.#.##..###...#..#..##.####....#.##.#...#.#.###.#.##...###.#..##..########.#.#########.##..#
#.......#.##.#.#.#...#..#..###.#########.#######.######.##..###.#.#.#..#####....#.####.##############...######.#..######.##..##....##.....##..##.#..###.##.....##.#####.#.##.#.#....##.####.#########.####.#####...#.#.##.###.#...####.#############.##...#......#....##.###..#.#.#.####.##.#.#.######.###.#..##.#......##.#####..##..#.#.###.###.#####.#..###....###..#.##..#.#.#.....#.##.########..#.###.####.#.#...########...###################.##.##.##.##.#..##.#.##.#.....#.####....#.#####....#.#.##....##
#######.#.##########.##.##..####....##.#####......#.#....##.##....#.##..##...##........#.#######.##.###..##.##.#.##.......##.###.#..########.#####.####..###########.####.#######.#......#..###.......#....#...###........#######..##....###.###.##.....######.#.####.##.#...##.#######..##.#.###.......#....######.##.##......#.####.###.#.####....###.#.##...##...##.#..##.....####.####....##.####.#######.####.#####.#.#.##.######.##.#.......#.......###..##.#.##..###..##.##...##.####......##.##...#.####.###
#...........##..#..#.......##..####.#...##.######.#.####.##.###.#....##..#############...........#......###....######.##.###.#...##..##......##.####..####..####.##........##.#.########.#.##...###.#.#######.##.########...##.##.##..##.#.......###.#.###.#.#####....##.###.######.....##..#.##..#.#.#...##..#..##.#...#.#.#.##.#.##.###...##.####...#######.##..#######.#..##.#######.#####....#.#...........##.............#.............#.#.#...##.##...##..#######..###..####.#......###.#.#..###..#.....##...#
##########.####.##...###.#....##......#.....#...............#.######..##.##.##.####.#..##.##.###...##.#...#.######....##...#.##.######..#.####...####.##.##.........#.#.#.##..#....#..........###########.#.#........#....#..........###.#######.#.######.....#.####.#####...#.#....#.#..#.##.##.#######.####...#######.#####..#...##...##.###....###...##.....##.##....#.##.#..............####.....#######.#.##.##.###.#.######.#.###.#.#.#.#.#.#..###..#.###..#.##.##..##.###.#.#.######.######.####.#.#.######.#
#............##....#.#...####.#############.#####.#.##.#.##...##.#.#.###..............##..####...#.#..##.#######...##.#..#########.....########.##.#.....###.#.###.##.###.###...##.#######.##.##.....##...#.##.#####...##.##.#.###.###..................###.#..........####.##.####.#.##.#.#..##.#........##..#.#.###......##.##.#.##.#..#.....#.##...#..##.#.###....#.##.#..#.#.#.#.#.####...##.#.#.#.....#.#..#.#....#.#......#.#...#.#.#####.#.#.#########.##....#.##.##......#.#............####.####.#####.####
##.#.######.#####.#####.#####.#.#.##.#............#..###.####......#.##..##.##.######..####.#..###.##.#..#.#.....#..#.#.####...#.#####.##....##..#.##.##.....#...######....##.###.....#.#####.######..###...##.#.....#.#..########...##.#.###.#####.###.#...####.#.#.#...####...###.#..#.#.#.##########.#..#.##.#.....#.####..#..#.##.##.##.#.##..###.####..#.#...#.#####.####.#.###.#....#.###..#####.#####.##.#.#.#.##.###.####.#.#.###...##..###....#..###.#######..######.######.###.##.#.#...#.....#.......#..#
#######...........##..####...........####.#.#.##.##.##....####.#.#......##..#..##.....##......##....#.#.##.###.#.#.#######.###......########.###.#.#####.#.###.###..#####.##..#...#.#.......###.#..##...#.#..######.#####....##....######.######....#.....###....###.#.#.#.#..#.....##.###.####.#.#.....##.####.#.##.##...###.##.###...############....####.#.##.##.....#.##...#...#.#.#.##..###...##...######..#.#.#.##...#....###.#..##.#..##..##.####.##.#.....#.#.###.###....##...##..#.#.###...###.###.#.#...##
#.#.#...##.#.#.######.###..#.####.##...#..#.#.#..######.#.#.#..#.###.##..##.##.###.##.#########..########......#.#..##.......#.##.#..............#..###..###...####.#......##########.#.###.##..##.####...##..##....##....####..##..##......##.###.####.#..#####.#...###.#...#####.##..##..#........#.#.##.###..#.####..#..##..####..#............####.#.##.#.#...#.#####.####.#.#####.#####..##.#....#......##.#####.##.####.#####.#.##..##..##..#.#.#...#...#####...##....#.######.########...#.#...#...#.#.###..#
#.....######.######.#.#.##############...####.##.#.##...#.#...##.#...###.##.##.#.###..#.........####.#.#..###.####.###.#.###.#######.######.####.##.....##...#.#......##.#####.###.########..##......#..#..##.##.##.#..##.#....###.##..#.####..#.#...##.#.##.##..#.#.#...##.##......##.#..##.####.#.###.##.#...##...###.#####.##..##.##.#.##.#.##.##......#.###.#.#.....###....#....##.....##.##.#.#######.#.##.....#.#...##..##..#.###..####.##.##.....###.###.##..#....####...##.#........##.####.###.#####...####
########.....#......#.#.#.#.##..###....#.##...##.#....#.#.##.#####.#.#...##.####..##.#####.#.#.##....#...##...##.....#.#.#....#.#######......##...##############.####.#..###................##..##.#...#####......###.###.###.##.##########.##...##.########....##.#.##.######.#.#.###.#.##..#....#####.#####.###.###...###.#.###.....###.####..#.###.#.#.#...###.#.#.#...##.#.#.####..#####..####...#.#####.##.##.##.###..##....##...##....#.#..##.#.#.#.#.##...#.###.####.######.##.#.#.###....##.###...###.#....#
#........#.########.........###.#.##.#.#####.##..####.###.####.....####.#####.###..###.#######..##.#...#.####..##.#.#########...#.##....#.#.#####.##.#.#.##...#####...####.#############.##....##..##.##.#.###.#.##...#...#...#.....#.#.#.#....#.....#.#.#.###.###.#.##.##.....###...#########.######......##.#.....###.....#..##.#.#..##....##.###...###.#.####..#####.######.#...###.#.#.##...##.#......####...######...#####.###.#..###.##.##..###.###......#....##...#...#.##...#.#.#..###.######.###...####.###
#.##.#.######.########.##.#..........#.##.######.#....##..#....#.#.##....##....###.............###.###.###.##.##..###.#.#.#####.#..####.#.####............###..##.###.##........############.#..##.#..#....#...#.##.####.##########.........#.##.#.###...#.......###.##..###.#.#...####........#......#.##.######.#...##.#####.##.###.####.#..#..##.#...###....##..#.##...##...##.##.......######..###.##...###.###.#####...##..#.####.########..###......#.#.####.##..#...#......#.#.####...####.##...##.#...##...#
#.#######.##...........######.##.#.#.###..#.#.#####.#.##.###.#.#.###..########...#############.#.#########.....#####............##.#.#..####.#####.#####.##...##...##.#########.........#....#.#########.#...#.#######...#.....#....##.#.##.#.##.#.#...#...#.##.##...#############....##.##.########.##..#...##...#####..##..######.....##.##.#.##..#.#...##.#..##...###.#####..#.#####.##.....###...######..##........##.#####....#.#.......##.##...#.####.#....#..####.###.#.##.###..##..####......#..#.#.####.###
#.#..........#.#.###.#.#.#.##.####.######.#.#..##...#..#..########...###.#..#..#.................##......##.######...##########.##.#.######...#.##.#......###.####..#..##.##.###.######.##.#.#.#..##.#.#.##.####...#.#########...##.##.######.##.#.#.#####.###...###..##........##.##..#.#..#.........##.#.#..###.##.###....####....#.#############.###.######.###.#...###.....##..##....#.#.#..##.#....######..#########..##...#.##.#.#.###.##.####.#.######.#.###....#...#.###....##..##.##...##.###.########....#
######.####.##.#####.#.#......#....##..##.#.##....#.#.#####.#.#..##.##...##...###.####.##.##.#.#.##.##.#....##...######............#.#.##...#......#####.##.#.#.#..##.##.....#.#####.....########.........###.####...####.###..#.##.#..#.......###.####.##.####.###############.....#.##.##.##.##.#.#..#.#.#.##...#...##.#.###.###.##.....#.##.#.#...##....###...#.###...##.##..#.#####.####.#.##..#.#.##.##.#####.####.##..##.##....###...####.#....#....##############.#.#.#########.##.....#.##..####.#.#..#.#.##
##.#...#....#..###...####.##.###.#.###.........#.####.##..#.....######.#....#.#.#.#.....###..#.######..#.##..##.##..#.#########.##.#.#..##########.#..........#.##.####..###.......###.#.##.#..####.##.##.#.....####....#.#.##.#.#####.#.##.#.########........#.#..##..##.......##.##..#.############.####.#..##.###.##..#.......#.##.###........##.####.#...#.#.#.##..#.##.#..####.......####..##.#.#........##.#.#....##.###..#.######.#####..##.#.#.##....#.#.#.#...#.###...#.....#.##.##.######......#.#.#######
#....#.###.###.#...#.#..#.##.#...#..#######.######.....##.#####.##.##..##.#.#...####.#.##...##.###.#..########...##...#.#.###...#....#.##.##.##..#########.##........#############.#####......##.###########.##..######.#...##.#..##.#.########...##.##.#.#.######.###....#.#.#..###..##.#....#.........##.#.#####.#.##.###.#.#.####..##..#.#.####...#.####.########..##.#..##...######.###..#.###.###.#.####........#.##..#.####......####..#####.#.#####.###...#...#.###...#...#.#.#.####....#.###.#.#.......#.#.#
####.#.#####.#######.##...##.#.#.#.##.###...#......#.###........##....#####.#.#.##...#..##.##..#.....###...#####.##.#.........######..........##.##.##......######.###..#..###........#..##.#.....#.....###...##....###...#....#.##....##..#.####.......###..#.###.#.#.#.##.#.##...##.#######...##.#.#.##..#.#.#........#.#####....##.##.######..#.#....##........###..#.##.##.#...##.......#####....#.#...##.##.##.######.....##.#.#####...##.#.###..##.#.....###.#################.#....##.#....##.#.#.#.###...#.#
#.######......#.#########..###.#####......####.#.#.#..###.##.##.####.##.#...###.####.#.##...##.#.#.#.##..#........######.########.#####.#.#.#..........#.#########.#.##.##...########...#########...#.#.....#.###.#.....#.##.#.###########........#.#.#.#...##..#......###..#..###..#....##...#.#..#.#..##.#.#.######.#....####.#.##..##........####.##..##.###.###.######..##.#.#.####.###..##.##.###.#.###..#######.#####.#.#####.......#..#...##..###...###.#.......#.#.........######..#.#.##..#.###.#...#.#...#
#..########.#......##..##.#######.###.##.##....#.#.##.#.#.####..#....##...#.##..#....#####.#######.#.##.###.#.###....###.#..#.......#####.#.##.###.#.#.###..#............###.##.......#.#.####....#.#.###.#####.####.#.##.#..####.#........#.#.#.##.#####.#..##...#.#####..###.#...##.##..##.#####.#.##.#..###...####.#.##..#.###..####..####.#..##...##.##..####.#..##..##.####.#.#......##....##...###...##..###.##..##.#.#..#.##.#.##.#####.#..##.#...#...#...#######...#######.....##.##.#..#.##...###.#.###.#.#
#.##.#.#.#########..##....##..#.#.....##.#####.###.##.#....####.###.##..#.#.##.#####.#......##.....######.#.#.####.#.....##...#.###...#...#.########.######.#####.##.###......###########...#..##.###.#.....###.############.##...####.##.##.###.#..#.....#.##..#.###.....####.#.#.##.##.##...##...#..####.##..#.#....#..##....###....##....####..##.##..##.##.#....##..###....#.#.#.##.#..####..###...#########.#..#.###.####....###..###.##..#########.##.#########.##.###..#.########..####.#####.###...#..##.#.#
#.##.#.....#.......##..##..##.....#.#.####.....###..###.####........##.####.##.#.#.#######.######.###.##....#.#..####.#.####.######.#...#.###........##.....##.##############.#....#.#.####.####..########.##...#.#.#.#.#########......##..#.#...##.##.##.#.###.#.#...#.#..##..#.#.#..#..###.####.#####....#..##...##.##..##.#..##.##..##.#..#.#####.##.##.......##....##.#.##.#.#.###..##....######.######..##..#.##.#.#.##.#.#.##...###.....####.##....#...................##........##...##.....#...###.####..#.#
#......#.#.#######....##..####.#.######.########.####...#....#####.##..#.##.#..#....#.#....##.....##.....#.#####..#.#.#..#.###......#.#.#.#...#.#.#.#######.##.#.##.#...........##..........##...##..##.#######.#.......#.##......#.#.##..#####.##..##.##.#.#...#.###.#.##..##.######.##..##.#........##.#.##.###.###.#..######.##..#.##..##....#..###..###.###.####.#.##.#..#.###.##..###.##......#.##...##..##...........#.######.#.....#.#......##.##.#.#.#.#.#.###.#.#.#....#.########.##..##.##.###......######
#.##.#.###.####.#..#.####.##...#.#.#.....#...##....#########.#......####....#.#####.#.##.#.#..###.#..#.#.###.#.##.....#.##..###########.#.###.###.####.#..............###.#####.###.#.#.#.#....#..##.#....##.##.#######.#..##.##.##.#..########.#####..##.#####.#..####.###.##...##...##.###.##.#.##.#####.####...##..#.##.#######.##..##.#..##...#####..##...#....###....##.#.##..#..###..###.########.#..#.##..#########........####.#.##.##.########..#.###.#.#...#######.#.##..#.....#..##..####..##.#.##......#
########..........##...##.##.#.#.#...###.###.###.###...##.##.####.#.#.##########.........###.##...##.#######...#..###.#####..#..........#...###...##.#.#####.###.##.#.##..#.....#.#.########.#.####..####.#..#..........##....##.#########.#.#..#.....##..#.....####.####...##.#.####..####...#####...##...#....#..##.#......#.#.#####.#..##..#.#.....#.##..#.####.##..#.###.#..##.##...##..##....#.#.#.##......####.#...############..###..#..###..##..##.#...#.###.##...##.#####...#.#.##..#.###.#.##..#.##.##.#.#
#...#.#..#.#####.##..###..#########.##.............###.#.....#....###.....##.#...#.##.##..#######..####....###...########.##.##.####.#.##.#######.#......#.########.#####.##.####....##......#######.##.#.##.######.#.#....####..#.#...#...#.##.#.#.#..#####.##...##......#.####.#....##....#.#.....#..#.#.#.####.#####.#.##.........####..##.###.#####..####....#.##.####.###.#######.###.####.#........######........#......#.###.##...#####.....####..#.#.###..##....#..####.##.#######..##.....#..##.#.##..#####
###.#.##############...##..##.#.##..###.#.###.###.##...####.###.########.###.#####.##.#..##.#.#.##.##.####..####.##.............#....#.#...##...#####.##........#...##.....#######.#..####.#.#......................###.##.##...##.###.###.#.#..#.####.##....###.####.###.#....###.##.##.##.#.###.#.#.######.#....##.#..#..###.##.########.##.######.#####....##.#.##..##....#.#.##......####...##.#####.....##.#.#.#.#####.#........#.#...##..##.###...####.##..##..#.###......##......##.##..##.########..##.....#
#.....#.#.#..........#####.##....####.###########.####.#.##########.......#...####.##.##.#......#####.#....##.....##.###############.#.######.#....##.#..#.####.##.#######.#....#..#.##.##.#.##.####.#.#.##.#.##.#.######...#####..#.........####.##...#..#.##...#.####.#.#.##..##.#...#..###.#...#####..#####.##.##...##.##....###....##..##...##.#....##.#.##..#####....##.#....#####.###.#.#.##.######.#.###.#####.....####################..#...##.##.....##..##.#.#.########################.......##.##..#.###
#####.#.#.####.##.#.###.#..#####.###.........#.....##......#.##.....#####.#.#......##..######.#.#.##....##..###.#..###...#...........#..####..####....##.###.........###.####.#...####.....#..####...#.#.#..#.#..####.....#..#####.###.###.#..###..##.###.#..##.##.#.#....#.##.#####.#.#.##...#.#.#..##.##.#...#..####..#..##.#..###.#####.##.#......#######..#####.#..#.##########.........######.#....###...#.....#.###..#.#####.#.........##.#.####.##.##.####..#.#......#.#.#.##.#..#...#...##.###########.#...#
#...............#####.....##.....#.###.#####...###....#.##....#######.#.....##.#.#.##.##......#....#######.##.########.#...######.#.#####....##.###.##########.###.#.#....#.###.#.#....##.##.##....#.#.####.#.#####.#####.#.##......#..##..##.....##...####.##..#......##.####.#.#...##########.#.##.......###.#.##....##.##..##..#...##.####.##.#.###.##..#####..#.######.##..##...#.##.##...##.....##.###.###.##.##...####.........#.#.#.#.####....#.##.#...#.##.#.#.#.##............##.###.######...#...#.#######
####.##.#######.#...############....####.#######...#.##..####.#.#..#..####.#####.#.##..##.##.####.##.#.#.#.#..##.###.################.#.#######.#.#.##.........##..######.......#.##.#.##..#######.#.#.##...####..........#.##.##.#...##..#####.#..##.##.....#####.#.#.#...##..#...#...##.##.##.#..##.#.##.....#..###.#######.###...####.##.###..#..#.....####.##.#...........#######.##..##.##..#.#..#...####..####..#......#.#.###########..###.#.####..##.##....###.####.##.#########........#.###.##.###..#.#..#
#.....#######...##.##.##.......####.#.#..........###.##.##......##.##.####...###.###..##..####.....#.........##.......##.##......#.##.#.#.###.......####.#.##.#######.######.#.##.#..####.####.....###..###..##..##.#.###.#######.#.#.###.##....#.##...####.##.#.###.#.#.#.##.##.#.#.#.##.......#####.#..##.##.##.#.......##...##.####.#.##...##.##...#.#....#......##.##.#.###.#......##.##..####.##.#.#....##....####.#.###########.#.#.###...###.#..##..#.##.##...#####..#............########......#.#.#.##.#.##
#######.....##.##.....####.##.##........###.#.##.##...########.##..........###.....#.####.#.#..###.#######.#..######.##.....#.##..........#.####.####....#.#...##............#.##.#.##....#....#.#.#...###..######..#########.#.#.###.#...####.##.##.#.##...#........#.#.#..#.##.#.#.#..##.#.#.##.....#.###.#..##.#.#.#.####.#.#..###.......####..##.#####.###.##.#.##.##.#.##..#####.##...##....####.#.##.####.##..###.#....##.#...........###..##...##..##.##.#..#.....##.#.#.##.#.#.###.##...##.#####.#.#.......#
#.......###.#########...####...##########...#..#.###.###..........####.##.###..#.#.#....###...###..........##...........#################.#.#################.#####.#.#.#.##.#.##.#..##.#.###.##.###.####..##########....##.......#...##.##.....########..#.##.##.#.##.####.###..#.#.#######.#..#########...##..#####.#....#.#.##.....#.#.#.##.#.##..#.#.#......#.#.##..#.#....##......##.##..####....####....###..##...#.##......##################.####..#.##.##.##.#.#####.#..########...##.##.....##.....#######
######.####.#.#.#.....#...####.#.#.#.#####.##.##.#.....####.#.#.###....##.##..##.#.############.##.#########..##.#.##.####...#..#.#.#...........#...###.......##....###.#.#..###..#.##..#.#...##.##..#....##.##...######....#.##.###.##...####.##........##.#..####..#.#..#...##.#.#...##....#.##....#.####..##..##...##.#.###.#..#.#.###.#....#.###.....###.#.####..#.##.##.###..#.##..#..##.##.####....##.#...#.####.##..#.#.##.#.#.#####....###.###.#######..#...#.#..#..###.###.####..####..##.######.#####....#
#....###..........#######...#..#.#.#.#..#####..#.###.###.####.###...##..#..####..######.#.#####.####.........##..#######.###.##.......#.#.#####.###.....###.#..##.#..##.####.##..############.#..#######.##.....#...#....#.##.##...#..##.##.....######.###..##.#....#####...#.##.#.#.#..####.#######........####..###.##.#...#.####.#######.##.###.#.#.#...#.#....#.###############..##.#.###.......##.#..#########..#.#######..#...........####.........##.###.##.#####...##...#....#.##......###.##...........####
####.....####.#.#.##....###.##.#...#.##.#.#...####.#.#...#.########.##.##.######..##..#.#.#......###.#.##.#####.###.##.......####.##.#######........##.######.##..##..####...###.#.#.#..##..#.##.#.......####.#####.###.#####.#..############.#...##...#...########.#.#...#.#.##.#####.##....###.....#.##.#....##.##..##.#.########.###.######..##...#########.######.####.##....##.##..#.##..#.#.#.##.##........###.#.......##.#.#.#.#####.###..####.##.....##.##.#.##..#..###...##.#....##.###......###.##.##..#.#
#....#.#.#....###..###.####.#....#....#.#.##.##....#####.....##.###..#..###......####.......#.##.....#..####....#...########.......###.#.#.##.##.#.#####.......##..##.##.###..##.#.....####....#.##.#.#.##.#####......####....####..#####.#####.####.####.##..........###.#.###....##..##.####.#######..####.########.##.#...##..............#####.#......##.......#...##.....#.##...##.#..##.#.###.#..##.##.###..##...#.#.#.##.#.#.#....##.....##.#########.##.#.....#.##.####.###....#.##......##.#...#..#####...#
###.#########.#...##......#...#.#####.....######.#..#....###........###.#####.##.#.#..##.#.####..#.#.#.###...##.###...#.#....#########.#.#....##.#...##..###.#.#####..#....#.#########.#....#.############...#.######....##.#...##.##.##...........####.#.###.###.#.#..##.#.##..#.####..####....#.###..##......##.....#..#.#..#####.##.#.#######.###.#.##..###.###...#..#.#####..##.###.#.###.#...####..#..#.##..###.#.#.#.#..#.#.#.#.#.#####.#......#.####..##.##.#.##.##.##.....###.######.#.#..#.#.####.##.####.#
#...#.#.......##.########...###.#.....#.#...#######.###.##.###.##.#..##.#......###.#.##..###....##.#####...#.########.#.####.##............#.#####.#.##.##...#..##...#####.###..#........##.#.#...##.#.#.###.#.#.#.#####....#.#.#........##.###.######......###...###.##..#.###.#...##.##....##.......##..#.#.##..#.#.#.##.#.##.#...##.#..........####..####....##.####.......#####.##..###...#.#..####.##.#..##...###.#####.######.#.###.###.###.##......##.##.#..####.##.#..#.#...#####.####.#.####....###...#####
##.##...########.##.##....###...#.##.####.#..##.#.#.#.####.....##.##.#..##.#.#.#......#######.#.##.#..####.#.#...............##.#.####.#.#.#.##....#.##..###.##..#####.#...####...#.##.##########.#......................##.#.###.#####.#####...#......##.#######.##..##.##.#.#.#########.##.#..####.####.#.#..##.#.#.#.##.#.#....#..#.##.###.#.#....##....##.#.##.#####.#.#.####.#####...#.#.#.##..##...#.#.####.#######.##.....####.......###....#.#.##.##..####....#.####.####.#...##....####....#.######.#...###
#...#######.##.#.##....#.######.######.##.##...........#.#.###.##.#..#.##..###############.####.##.##......#.###.#.#.#.#.###.####.##...###.#.##.######..##.#####.###.....#.#....#.########..###...#####.#.#.##.##.#.#.##.##.#.#####.......#####.##.##.##...##......##.####..#......#.#.....####.#.......###.#.#######.#.##.####.#.##.#.##.#####.#.#.###.##.##.#.##...#.#.#.#........##..#.###.#####.##.#.#####............##.###....#.#####..#####.######################....#.##.#.#....##..###.#.##........#.#.#.#
#.###............##########.#.#.##.#...#..##.#.##.#.##......##.#####.########.#.....#.#..........###########...#####.#.#.###.#....##.#.##..#.#..#.#.###.##.....###.###.###.####.#.##..##.#.##.###.......#.#.############.##.#.#.....##.#.##.....##.##..##.##..##.#.##...##.####.#.##.###.###....#.##.#.##...#..##..#..####.##...#.##.#.##.....#.###...#..#.#..#..#.#...#.###.#.##.#####.#..##..##....#.#..#.####.#.#########...##.###.....##....##.......#.####.#.##....#.##....#.#.##.###..##.###.##.##.#.#.###...#
#########.#.##.#.#.................###...##..#..###.####.#.##..#.....##.......#####.#...#.#.#.#.##...........###.....#####...#.#.##..#.#..####.##........###.#.##..#.####.......#..##..#.#.#......#####.#####.#..#.#......#.#.##.##.##.####.##.##...#.###.##.##..###..#.####....#....##....##.###.#..#.##.#.#.####...###...#..#.#.##.#..#.##.##.##..###########.####.#.#...#.#..#.....###.####..###.#####....##..#.........#.#.#....##.#.###.#.#######.#.#...........#.##.###.#.###.##.####......#######.#.#...#.###
#....#.####.##.############.#.#.##.##..#.###.#.##...#....#..####.###..##.#.##.........#.###.#.########.#.#.#.#######.#.....#.#.#..##.#.####.#..#..#.###.##...#..##........##.#.##.####.....###########..#..##.##.#.#####.######..#####.##...#...##.##.#...##..##.####.#.#....##.##.#.##.#.######..##.#.#..#.#...####.#.##.###.#.#.##.##.#..#..#.###.#.###.####...##..#.#.#.###.###.########....####.....#.##.##.###.###.#.#######.###..#...#####....##.#...##.#.###.#####.#...#...#.#....#######.......###.###.#...#
####...#.#..####.....#.##...###.##..##.#.#...#..###.#.##.#.##....##..##########.#.#.###.##..####.#.#...#.#.###.##.######.#####.#.#########....##.#########.#.##..#######.###.#..####.##.##.............###.................#.###.#.....##.#####.#...#.###.##.##....##.#.###.##..##.#.##.#.#.##...##..#.####.##.##....#....##..###.##..###.##.##.#..........#.###.##.##.#.#######.#......#####.##....#.#.#.##.##..##..####.#...##....##.#.#..#.##.####..#.######...###...###.#.#.######.#.......##.#.##..######.##.##
#....#.....##....#.#......#.##..##.##..#.#.#.##.#...#.##.#..##.#..##..##........#.#.#....##.#........#.#.#.#.............#.....#.#.........#.##..#.........#..##...........#.#.##.......##.##.#.#.#.#.##...#.#.##.#.##.#.#.#.....##.#.##..#.....##.##.#...##.#..##.##.#.#...#..##..#..#.#.#....#.#..##.#....#...##.#.#.#.##..##....##..##..#..#.##.#.#.#.#.....#..#..#.#.........##.#.#.....#..##.#.#.#.#..#.##.####..##....#.##.#.##..#.##.........##.#.....##.#.....#.##..#.#....##..#.#.#.#.##.#..##......#.##..#
##################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################E#

#S.###################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################
##.##.#....#..........#.#.#.#........##...##.#.##...##.##.#.##..#.#.##....#.#.#...##.#..........##.##......#.#....##.#....#..#.....##.#...##.##....#.#....#.#.#.##.##...#..##..#.#.##....................#.#.##.....#..#.#.#..##..#..#.##.##.#.##.#...#...#.#....#.##.#.#..##.##..#.#...##.###.#.#.#...##.##..##.#...#.........#.#..##.......#.#....#.#.#.##.#.##.##.....##.#...##.#.#.##...#.##..#.#.#...#.#.#....##.#.##.....#...#.#.#.#..#.##.#..##.##.#.##..##.#...##..##..##...##.#....##.#.##.##.....##...##.#.##..#.....##.##.##....##.#...##.##....##..#.#.#.#
#..#....##...#.##.#.#.#.#.#...#####.####.##.......#.##.##.#..##......###.##...###....########.####..######...####.#..####.##.####.##..##.##..####.##.##.#.......#...###.##..##.....###.#.###.##.########.....######.##...#...####.##.........#.##...#.###.....##........##.#.....##.##.###..#........#..#.#..##..###.#########.....#########.#.#.##........#.#.##..####.##..###.........###....##.....###.......####.......#.#...#.....#.##.#.##...##..#.....#.##....#####..##.##.###....##..#.#.##..#####..##.###....##.#####........##.###..###..#.###.#####.#.#.#.#
##...##.###.##.#..###.#.#.#.###.###..##..#######.##....##.#.########.#.#.####.#.#.##.#.##.....#.#..##..#.#.###..#...##.#..##.##....##..#.#..##.##.#..##########.##.##....##..#.###.#.############....#####.###..#......#...####....#########.#..##.##.#######.####.####....##.####..##.#.##.########.##...#.##..##...#..####.#####.##.##.......#######.###......##..###.###.#######.##.##.####..##.#####..###.#...####.#.#.#####.#####.#.#....#..#####.###.#....####.#.##..##.........#.######....##..##.#.##....#.#####.#..##.####.####.##..##.##.#...#..##.#.#.#...#
#..#.####....####.##........##......####..###.#...####.##.#.#.#.##.........##.#.#.#....######.#.##..##.#...####.###.##...###..####.###.#.##.......##.#.##.#.#.......####....######...##.....#.######.#...#.#.##...##.####.###.##.#...###..##.#.######.....#.###.##########.....#.##.##.#..#.###.##...####....#.#####.#.##....##........#####.#..#....######.##.####......##.#.##..####.##....##..#..##.####...#####.####.###########.....##.#.##.##.#..###.##.#.#....#..##.##.#.#.##.####..##..#.###.##.....####.#..#.#..##..###.....##..##.##.....#.#.#.##........###
##.###....#.###########.#####..####.##...##.....####......#......#####.######.#.#####.##.........##.##.###.#.#..#.#.#..#...#.##..#.#.#....#.#####..#...#..#.####.####.#..##..##..###..#####...#.##.#...#...#.##########.....#.##.###.#.#.##....##.#.###.#....#...##......##.##......##.##...#.#.##.#.#....##.#...###.#..####..###.##.#...######...#####.....##..#.###.##.##.#.##.###.#..####.###...##..#.#..#..##.#.#..#####.#.##..#####..###.##.#..##...#.####.####.#.##.....###..#.#..##..##.####...###.#####..#.##.##.##.######.#.#..##...#####.###.#..###.##.#####
#######.#.####.#.#.#.....###..##.....###.###.#####.#.####.######..#....###......###....#########.##....#.#.#.##.#.#...####....##.....#.#######..##.###.##....#.#..##..#.###.####.#.#.##.#.##.##.#..##.####.#.#.#.##.#.##.##....###.#.#.#.####.###.......####.###.#######.#..#..#######..###...#..###.######..#.###.....##..##.##########...##.##.##.#.###.#####.#..#####.........#.#...##.##.#.#.#####.#.#####..#.#.#.###.......##.###.#.##........###.###.#....#.##......###...######.####.##..##..###....##.##...##.##.##..#.#.###.#.###.#..###...#....##.#.##..#..#
#.....######.........#.#.#...#######.#.#.#.#.#.....###....#######.##.#...######.#.##.###.........#####............##.##....##.######.#.##.##.##....##...####.#.##....####.#.#.#..#.#..#.#.##.#..##.####...............#...######.........#.#....#########.........#####..#####..####...######.##..##########.....####.####.##.#.##..#.#..###..##.#..#.#.####......##.#...#.#.###.#.###..#.##.#......##.#...#.#.##.#...#.#######.##.#.#.#.########.##.#.#.######......###.###..#####.##..##..#..##..##.#.#.##...###.#..##.##.##.#..##.#...#.####.###.####....####.##.##
####.###.#.#######.#.#.####.###........#.#.#######..#####..........#####.#.#...........#########.#.##..##########.####..#####.#.##......#.#..#####..##.##....#..####.###......##...##.#.#.#..##..#...#..#############.#.######.###.#####.#.##.###.#...###########.....##.#.#.#.##..#.#..#.#......##.##....####.####...##.#.#.....##...##..###.#..##.#...##...##.#.##.#########.#.#.#.##.#.#....#.#####.###.....##.##.##.#.................#.#.#....#.#.#..#.#.######...#.#.######...##.####.#.##..###.###..##.##...##....##.##.#.##..#.#....##....#.##.#.######...#..#
##.#.##............#.#.##.#.#...##.#.#.....###...##.#.#.##########.##.#....##########.##.#..###.....######.#.#....#.###.#..........####.#.##.#.###.##...####.#.####...#..####.####......#.##..##.###.#####...##..........##....#.#####.#.#.##...#.###.#.##........#.#.............#####.#.######..#.#####.#.....#.###.##...###.###..#####..#..##.#..##.##########......##.#.##...#.#......##.#####.##....#####.##.......###.#.#.#.#######.#.#.####.......##.....###..#####.#.#..#.###...##....##.###...#..##...#.#..##.####.##......##.##.#..####........#.##.###.#.##
#..#.##.##.#.#.###.#.###....###..#########.#.###......#.................##..#.#.##..#..#.##.#.##.######......####.....#.####.#.######.#.#.##.#.#.#.####.##......#.###.######...##..##.#...##.###.......#.###.##########.#####.##.##.........###...###...##.############.#.#.#.#.#.#.#......#.#.##....###..#####.#.#.#.####.#.#.##..##...##.##.#..#.###.##.#...####.#.#.........#...######.##.##.##..##.###.#.#.##.#.#.###.#.###.#.#.........#.#....########.#.#.....###.##.#.#.##.#.##.######.##...###...####.####.##...##...######.....######.#######.#.#..#.##.....#
##.#..#####################.###.###...###.....#######...##.#.##.##.########......##.##.#.##...#..###..######.######.###############.#......#.#.#.#..#.#.######.##.#.#..###...#.######.#.#......#######...##...##........##..#.##..####.#.##..##.###.###..###.#...#.#.#..#######.###.######.#.#..##.###.##..###.........#.#.#...###.####..#....##.#.#.#..#...#...###########.#.####.##..##........##.##..#......##.######..###########.#.###.#.###.####.#..#######.###...#..#.#..#.#.##..##.#..##.####..####.#..##..####..##.##..##..#.###..##..#.#.#####.#.##.####.###
#..#.###.##.#.#...#.##.#....#.#.##..#.....#.#......###.##..###..#####.......##.#..........###.##...##.#.#...........#..##...#.##......#.##...#...#.##.#..##.#..##.#.##.#.###.###.##.##########.#..##.###.####.#######.#..##.#..##.##.#######..#.##..####.##....#.....#####.#.#...##..#.......##..#..##..##...#########.....##.##....####.##.#..#.#...##.##.##.#..##....##.#####....###.######.####..###...###.##...#.#.#.####..#.#.######.........##...#.##..#.#......###.##.#.##.#..##.#....##..##...##..#.#.####....##.#...##.#..##...##..##.#......#..#.##..##....#
##.#.##..#..#.###......######.###..###.##.######.#.#.#.#..#######...#####.#.#######.####.###...##.##....#########.#...#####.#..######.######.###...##.#.##..##.##......#.###.###.................##....#.#.#....########.##.##..#.##.##.##.##.#..#.##....#########.###.##......#..##.#####.#####.##..##.##.#......#.######..#.##.#.##.#..#####.#.#.###...####.##..####.##...####.#......###...#..##.#.##.###...##.##.....##.##.#...#..#####.#.###.###.##..##...##.###.###.#..#..#...##..###.####.####..##...#..##..####..#.###..##..#.###..##..######.##.#..#.##..##.#
##.#.###.##.#...######.##.##...#..###..#..##.#####...###.###.##...#.......###.#.....#........#.....####...###..#####.##.#...##.##.....##..#......#......##.##...######.......#.###.#.####.#.#.##.#####.......####........#..###.#.##.##.#..#..##.#.#####.#.#.###....#.....####.##.##..##.#..##.#.##.###.#########.#..##..##.#.##.#..#...##.##.......###.##..#.###.......#.###....###.##.#.###.#.##..#.####.##.##..#####.###....###.#.##..##.####..#.#..##..###......#.#.....##.##.#####..##.#.#...##..#####.##..##.##.##...#...##..#####..##..##.##.#....##....##.####
#....#.#.##.#.###.#.#..##....#...###..#####....#####..##.#....######.#.#####....########.#.#####.#..#####.#.##.#.#....#.##.##..##########...###.##.#.##.....###.#.#.###.###.##.#######.####.####.#.#.######.####..#.#.##...##.#.#.##.#..##...##......##..#.#.#.####.##.######..#.....##..##.##.#.#..#.#...##.#....#.####.##.#.#####.#.####.###.#.##..##..##.###.#######.#.#.####.##..#....#.#.#..##....##..#...##..###..#.####.##..#..##..####.##...#.##..##.####.###.##.##.....#..##.##.##...###.##.#####..###.##..#.####.###..##.#.#.##.##.###.#..####.####.##...###
####.....#.....##.#.##.#########.#.#####....##.......########.##.#...#####...##.#....##..####.####.##..##......#.###.##.....##..##..###.##.#########..###.###.#.#.#.#.###.#.#.....#.#.....###........##.....##.#.######..#.#..#....#.##.####..#.########.......#.#...###.##.#####.##....##..#....##...##.##..####.#..##..#.....##...#..##...#######.##..##...#...............#.###..#####.......####.#####.###.##.##.##....##...##.##.###..##...###....##.##..###...#.##.##.#####.##...#.##.###...#..#.##..##....##.#.#.##..##.###...#....##.##..##.#....#.#...###...#
#....#.#...##.##..........###.#..#..##.####.########.##.#.#.#.##.######....#..######....###...#.#...##..######.#.#.#..#####..##.##.##.#.#..#..#......####.#.#.#.#.#.#..##.#.#.#####.##.#########.##.#####.#..#.###..######.##.#.####.##.#..##...###.##...#####...###.##..#...###..#####.###.##.######.#...##.#..#.#.####.#####..###.#.##..###.#.#...#..###.#.###############.#.#######.########.#.#..###....##.##..#.####.#####.#..##.#.#.#####.####.###...##.#.#.########....##...###.#.##...###.##....##..###.##..#.#..##....#.##.##.##.#...##.##.####.#.##.##.#.###
###.#########.##########.##...#####..#.##...#.##..##.##..........##.##..#.###..#.####.#.#...#...###.#..##.##.........###.###.##...........###...#.##.#............#...##..#.#..#.##.##.##.#....####..##.#.##...##..##.##......#..##..#..#.#####.#.#.#######.#..#.#....##.##.##.####.###.#.......#.#.....###..##.....##.#.##....##.#......##...#.##.##.##.###.#.##.....##.....#.#.###............#.##.#.####.....#.##..#.#.#.#.#.##.........#.#....##.#.##.##....#..#.##.#..#####.###.#.#.##.#..##..###.##..###..###.#.#.######.#.#......#.##.###.#..#....#....##.....#
#...#.#####...#.##....##.####.#..###...####.#..##.....#######.##.#.....####...##......#.#######.#.....###.#####.#.##..#...##.##.#.#.#####...##.####..###.#.##.###.###.###...#.##.##....##.####..#...###.######.##.##...######.#.####.#.##.##......#..##.##....#######.#.....#...##..#.#.#######.#.#####...#.#######......#####.#..#####.#####.#.#..##.#..##.....#####.######.#.#.#...##########.#.#....##.###.#....##...#.#.#...#..#.#.#.#.#.####.##...##.#####.##...##.##.##..#.###.#....####..##..##..##.##..##.#.#.#..#.#.......#.#######.##..##.####.####.##.##.##
###.#..#....#......##....#.##.#.##.###...##.##.#..#.#..##.###.##...#.###.###.##..##.#.###.......#####.#....##.#######.#.#.....##########..######..####.########.#.#.......#......###.###....###.###..#...##.#..##.#..###........#.#.....#..####.###.##..#..##.#.#.#.#.#####.##.####...#.##......#.##.##.#.....##....#.##...###...##.##....##..#.##.#..#.###.###..##.#..##....#...######.#.#.#.....##.###......##.######.#.#.#.#...########.........###.##..##....#.###..##....##...#.####..##..####.#..##...##........#.##.##.##.###.###.##...##.##.#....#.##.#...####
#.####.#######.#.####.##........##.#####.####..#######......#.###.######..#####.############.##.......###.###.#..#....####.##.##.#.##..####.#.#..##.......#.#.....###########.#.##.....#.##.....####...####.##.##.##..#########.#.#####...##.#..#....##.#####.#.#.#.#...#...##.##.###....######.......#####.######.#######.#.###.##.#..######...#....##...#####.##..##.#####.###.#........#.####.##..#.###.#.######.#.......#.##.###.......#.#####.....#..####.#.....##.##.##.#..###..#.#.####..##....##..#####.##.##....#.#####..####.#..##.###....###.##..#.#.#..#.#
#.#......##....###....##.#.##.#..#.#.##..#.#..##.#.##..##.#.....###.##.##.#.#.###..##.....###########.....##..##...##..#.###...#.#..##..###.#.#.#########.#.#####.##..##.#....###..#.##########.#.####.#.#......#.###..##.##....#..##...#.##.##...####..#.#.........###.##.##..#....##.#..##.########.##......#.####.#............#.##..#.#...#...##..##.###.....##.#..#.###...#.########...#.##.###....####..#.##..###.#.########.####.#.##.##.######...###.#####.###..#..#####...##.#....#.##..####..##.#...#########.##.#.#.#.##.##.##..#...####.##...##.....####.#
#.######.###.#.####.######.#..##......##.#.##.........##..#.#.#.#..............#..#######..##.###########.###.#..#.###....####.#.#.##..##.....#.##.#.##.....#.#...#..##..####.##..##.#.##.##..#..........#.#.##....#..##...####.#.##..#.#.....###..#.##.#.#.#.####.##.#.#...##...##.#####..#.#.####....####.###.#.#..############.#.##.##.###########....#.#####....#.##.#...#.#.#.##.#...#....#.....#.##.#..##..##..####...##.#........#.####..#.#..##.##.#.##......#.##.##.#.###.##...####.###.#.##.##..#.#######.##...#.#.#.........###.##.###....###..###.####.#.#
#............#.#..####.#############.##.......###.#.#..##.#########.##########.##.#.##..##.#.........##....#..######.#.##..........##.#######...##....##.##...###.##..##.##....##..###.#...##...#######.##.#######.##..###.#....#.###########.#.#.##.##.#.######........##.########.#.#.#.##...#..##.###......#...##.##.##.#.#.#.......##....#.#.#.####.##..#.#..##...##.#####.#.#.#....#.####.###.######.##....##..##.#..###..##.####.####.###...##.....#....#####.##.##.#..#.#.#.####...##..#.....#..##.#.....##...##.##...####.######...##...###.##.#.##.....#....#
#########.#.#####.##.#.#.##.###.........####.######.#.##...#.##.....#...##.............##....##.#.##.#####.#.####.##.#############....#####.##.######.####..#......#.##..#####..##..##.##.########...#...#####.....#..##.....##.....##.#.##.....#.##.#..#.##.#.########..#..#..###....#....###.##....#.####.###.####....#........##.##.##.####.#.#..##.....##.#.##..#.##.#.##........####.##.......#.##.#.##.######.##.##.####..#.#....#.##..#..#....##.##.#####.##.#..#....##.#.#..#####.###.#.#.#.#.##..#.#####..#....#..###......#.####..#.#..#..##....##.####.####
#.##.#....#..##.................#.##.##.#....##.##..#..##.##..#########....#.###.##.##....#####.#.#..#.##.............#..##.#.##.####..##.#.....#.#.#.#.#..##.####....#.##.####.#..###.##.####.#.###.###..##.#####.##..##########.####....#####.#.##.##.#.##..........##.#.##.##...##.####......####....##...##..#.####...#.#.#######...#.##.#.....##..##.###.###..##.##.#..##########.######.#.##...##........##...#..##....##.######.#..##...##.#.##.....#.##...#.##.#.#####.....##.##...##.#####.#.###.....#.#####.#.#.#######.###..##..#####.##..####.##..#......#
#..#.############.#.#.#.#.#######.########.#.....##.#.##...##...........####.##..##.###.#.###.######......#.#####.###.##.#.......##.##.#....#.#.........##.#..#######.#.##.#....#.##....#..##....##....#.##..##.#..##.##..#.###....#.####............##...##.##.#.###......##.####.#.....######.##.#.####..#.##.##.##.#####.#.#.....##.##..#.###.#.###.#####....####...#.##.#####...##.#.#..#######.#######.#######.##.##.####..##..####.###############.###..###...##.#.#.#.###.####..##.##...#.#..#.#.#.#####.##..###.#..#.##.#.##..###.##.#...##.##.##....##.######
#.##.##.###############.########..#........##.##.##.#.##.#..##.###.##.#.##....####..#...###......#.###.#.##.#...###......###.#.#.#.....#.####.###.#.#.#....##.#............####.#..####.##.#####.###.#....##....##.##..##....#..####.#....##.#.##.##.#..###########.######..#.#.####.###....###.#.....#.####.##.#...#..###########.##..###.#.#.#.###.#..##.###.##.#..#......#...###......##.###......#.###....##.......#.....##..##.#.#...#.###.##.#.....#.##.#.###.##........##..##..##..####.#.#.##.#.......#.###..#....##.#..#.#..###..##.##.###.##.####.##..######
#..#.#....#..##...#####.##.....##########.##...######.##.#######...#..#.##.#######.####.#####.##.......#.#..###.##..####.##..###.#####.###.########.####.#..######.##.#.##.#.##.#.##.#......###...######.######....###..####.##..##..#######.#######.##.##..#..#.#....#####.#...#.####.##.###.....###...###.....###.#.##..#####.....##..##........##...##...##.##...#######.###.#.######......#####.##.#.##.#####.####.#.#####..##..#.###.......##...#.#...##.#........#.#.####..####..##.#.##.#....#.##.######...##.###.##..##.#.#.##.#.##.....#.#.##.#.#..###......#
##.....##...####.##.#.###..#.#........##...##.###.##...#####.....#.##.#.#####....#.##...#.########.#.#.########.#####..#..#.####.#.#...##...##......#....#.##..########.#....#....##.######.#.##.##.#.....#.###.##...##.###..##.##..###.......#.###......##.##.#.####.#.....###.#.#.#...#.#.#####..###.##...###.#.....##.##.#.####.##..######.##.#####.##.###..####.#.#..#...##....##.#######...#......#.##...#.#####........##..##.#.##..#.###.##########..#.###.##.#.######.##..#.#.##..#.#..##.###.#.....#.##.##...##.#..##...........##.###.#...##.#.##.....#.####
#..#.######.#.#........########.##.##....#.##.##.....#..##...#.#.###..#.#.#.####.###..###....###########...........###.##.####.......#.####..########.##.#..##....##.#######...#.##.....##..#.##.##...###...#.######....#.##.#...##...#########.#.#####.###.#.........#####.#.#.#.#...#...#.#.######.#..#.####....###..#.##........##.##########.#.##..##...##.#.####.##...###..##....#..#.####...##.#...##.###..#..#.#####.###.##..#.#######....#.#..##.##.#.########.##.#.#..##...#.###.#...##...##.#.#####.##..##.##..#.####.##.##########...###......##.#####....#
##.####.#.#.#.########.#.##.#.#######.##.########.#.##.####.##.#.#...##.#.........#..##...##..##....#.###.#.###.##.........#.####.#.##..##..###.......#..########............###.######..##.#.#...#####.###.#.###.#####.#.##.##.#####..##.##......#.........#########.#.#...#...#.#######.#.#.#..##....##.#..##.#####.##..########.#....##...#.#.#..##.###.##....#.#...###.#.########.##...#.###.##..###..#...##.##.....###.#....##.#..###..####.#.##.#.....#.#.##.##...#.....#####.#..##.##.###.###......#.#.#..##...##....#.###.....###.##..#...#####.##...##.######
#####.#.......##......................##.###.#.#..#.#####.######.###..###.#.#.###...#########..####...#.#####.######.#####...##########.##.##.####.########.##.###.############...##..##.#..#.###.##.#..##..........###.#.#..##...##..##..#######.####.##.#...#...#...#.###.#.#....##.......#.##.#####.#####.#####....##.#####.......#######.#.....##..#.#..####...###.#.#.#..##.###.....#.....####.##...##.####.#..#####.#####.##..#.##.#.##.#.........#.#.........#.#...##.##..#....##...#.##....##.#####...##..###..##.###..####.###.#.#######...##...##.##...##.##
#.#...##.####.#####.#.#.#.#.######.#######.....##.###.#.#.###..#.########.#####...#...##....##....###.#.##.#.....###########.....#.##...#..#....#######.##.........#............#..##....##...##..##.#.##..#####.##.#.#.#.##.#..#####..##.#.....#.##.#.######.###.###.#.#.#.######..#######.#.##.#......##.#..##.####....##....#####.#..##.#.###.#..#.##.#.##.####.#.....#.#.###.#.##.#.######.##.######.##..#.#.##..#.#...#.#..#..##..#.#.##...#.#.#.######.#####.##.##.#######.####.####...##.##.##...###.###..##.##.##.##..##......#.....##....#.####..#.####.....#
#.###..####....##.##############.####...#####.#####.....#.#...####.##.#.########.##.#####.#....##..........#####.#.##......##.##......#.##.##.###.#......####.##########.######.##..###.#####..##......#####.....#......#.##.##.#...##.#..#####.#.#..###.##.#..#..#.......#.###..##..##..........##.###..#.##.##.###..############...#.##....##..##.#.#..#.##..##....#.#......#....#######.....#...##.#.....##.#.###...##.##.##.##....##.#.####.#########..####.##..###...#.##....#....###.####.#...#.###...#.##..#.#...#....######.###.########.##.#.#..##..#.#.#####
#.#.##.#..####..#.##.#.#.#........#.###..####.#########.#.###.#.#...#....##.#.#...####.##.##.#.###.##.#.##.##.#.......###.##...##.#.#.#........##.######...##.##.........###.######.##..#.####.#######.#.##############.#....#....###....##.#.#.#.##.##..#..##.##.#######...#.##.#..############.#######.#.#...#.#.##.#.#..#.##..###....#.######.##.#.#.##..##.#########.#.##...##..##.#.#####.#.###..#.#.#..#.#.#...####.##.##..###.##....#.####.......##.##....##.##..###.#####.###.##....#.#####.#...##.##.###.#.###.#.#######...#......#.#.###..#.##.###.#.#..##.#
#......##...###.#.##.#.#.########...#.#.##.....##.##............###.###.##......###..#.#..######.#..#####...#...##.#####.....##############.##..#.#..#####..#######.##.###.#.#.##.#.#..##.#.#..#..#.##.#....###.....##..####.###.##.###.###.#.#....#.###.##.........##.####...#..#.##..#.##.#.#...###..#.#.##.##..........##..##.....##........#.#..#....#.##...###......#.###.####.........#....#.##...#.##.....###.##.#.#.....##.#..##.###..###.#.###.#..#..##.....##......##.......###.###..##.#...###..##.#...#..##.#.#.#.##..#.#.###.##...##..##..#.#.#...#.##..#
##.###....#.....#.#......#.#.##.###...#..####.###..######.#.###.##..##.....#.####.##.#.#.##.#.#....####...#...#..#####.##.##.#.#.....#.#.....##.#.#.##.##..####...######........#.....##....##.##....#.##.###.#####..##.#.........#.##...#..#.##.###.#.#..#########.#...#####.##.#.###....#.#.##.##.##.....##..#####.####.###..#.########.###.#####...####.####.#.##.##.####.###.###.#.####.####.#..########.###......#.#.####.##....##....##.#.#.###.#.##.########.##..###.########.##...#.##.#..##.##.##.##.#.###.###.....#.#..##.....######.#..####.#.#.#.###..##.#
#########.#.#.#.....#.##.....##.#####.#.##.#..#.##..###...###....##....###.#.##...##.#.####.....##.##...#.##.###.#........##.#.###.#.....##.##..........##.##.###....#...##.###.#####.###.#.#...##.#.......##.#.#.##....#.##.#.#.##..###.##...#..#.#.#.##.###.##.##...#.#.##..##.#.#.####...........####.#..#.##.##...##....##.####.#.......###.#.###....#.#.##.#.#######.##..##.#.###.##........#.##.##.....#.###.####.#.##....####.##.#.##..#.####.......###.........######..##.#..####.#.##.##.....#.##..#....##.##..#.#...##.##.#.###........##.#..........##....#
#....#.##.###.#####.#######.###...#.....##.##.#.###.#.##.##...##....##.#...######......##.####.#######.################.#.##.#.....##.#.###.##.#.#.#.##.......##..##.######.###........####.#.#########.####..#.#..####.###..###.##.##......#.##.#..........#.....#####...###....#.#.#..##.#.#.####.#....##...##..#.#..##.####.##...#######..##.......####...##.#.#...##...##.##.....#..#####.##...##..#######..#..##.....#####.##......#####.#..##..###.#...#########..#..#..##....##..#.#.##..#####....##.##.###.....#####.#####..###.##.#.###..#.#####.####.##.####
##.#...######.#.....##.......#..#...#.#..#..#.#.#.#.#.#######.#..##..###.####.....###.##.....#############.##.#.........#.##.##.#.#######...##.##############.######.#.#....#...#.###.##.#....#.#.##.##.#..##...#.##....###.##....#.######.##.#....#.######.#####.#.....#..###.#.....##.######.#.############....####.###..#.#..#.#.#.######..#######...##.###..#.#.#..###.##..##.##.#############..##.#.#..###...##..###.#.#....######..##...#.###.########.#.#.#.#.#.##.##.######..##.#.#.##.###.##.##.##..#.#.####.#########.###......#####.##.#.##..#...#####.#.##
######..###.######.##..##.##...#########.##.#.#.#.#.#..##.#.########.######.###.####...#####.##.##.##.#.#.....#####.#.#.#.#..#..####.#.#..#.#####.#.#.##.###...#.##..#.####.###.#.#....#.####.#.#.##......##..#.#.#####...#######........####.#.##.###......##....##.##.##.#.#####.#.#..#........#.#.#.##.....##...####...##.#.####.......###..##.....###..#.##...#.####.#....##...###.......##.###.##.#.##.#.###.##.##.###.###.##.#.#..###.###.#.####....................#...##.#..##....#.##.##..##.######......#.#.#.#.#.#.#...#.#######.#.....#.###.#.###.##..#..#
#.#....##...###.##.#..##########.#.#.#.#.#....#.#.....##..#..#.....###..#.....####.###.#.#.#....#..##.#.#.#.#.#.#.###.#.##########.#.....####............#.##.##..##.#.#..#.#...####.#...##.....#..###.########.#.#...##.###.#.###.##.#####.#.#############.#####..####.#.....##.#.####.###.####.#.#.#.########..###.####.......##..####.##.#.#######...##.#..###.#..##..####.####..######.#......#.##.#.#.........#.##..##.#....#.#.##..#..#.#....##..#########.######.#...#.##...######...##....##....#.###.#.#.........#.#.###....#.#..#.##.##.#.#.#...#.#..##...##
#...##.####.#.#..#######.##.###........#.####.#.##.##..##.##...###.####.###.#..#.......#...####...###.....#.#.....##..####.##.##...#######.#############.#.#...##.#..#.##.#####.##.#####..#####.#.##...##.##.#......#....##........#..##.......#..##.###......##..###.#######.##.#..##...#####..........##...###.##....###.##.#########...#.#.#.##....#.##...##...##.###.##......##..##..########......#.###.##.##....#.##..####.....###.##.#.#.##.######.#.......##.##.##.##.####..#.#####.#####....##.#...#.#####.#######...######.#.#.##.#..#..#.#.#.###...##..#..#
#.###..#.##.#.##..##......#.....##.###...#.##.#.##.#..###..##.##.....##.#...##.#####.#...#..#.###.#...##.##.##.##....###.#.....###.#.#.......................#..#.##.......#.####..##..##.#.#.#.#..##.###..#.#.########.########.#.##..####.##.#.##....######..##.##...#.#.......#.####.##.##..####.##.#####..#..##.####.####.#.#.##..###.#...#.#####.#..###..##.##......######.####..##..##.##.###.##...#.##########.#.##.##....#.#...#.#.......###..#...####.#.##......####.#..##.#.#.#....##...##.####.######.##...###...###.###....#.##.#####...#.#.....###..#####
#.#...##.#..#..##.###.###.##.#########.#...##....####.##..#######.#.##....#.##.......######....##.##.###############.#...#####.##..#...#.#.##.#.#.##.###.#.####....#######.#.#.###..##..........#.##..#.##.#.###.###....#####..######.##..####.#..####.##.#.#.##...###.#...#.#.#....##......#####....#####.##.##.##..##..##.#.#.#.###.#.#.#.###..#.#####.#.#.##..#######..#.##...##..##..##......####..#...##.###........#.####.######.#...###.######.###.##.#########.#..#.####.#....#.#.##..##.###.#.##.#.###..#..###.##.##.#.#.##.#.#....#.#.##.##.#.######..###..#
#####....##.##.##.#.####..####.........#.#..###.##.....##.#.##..###..####.#####.#.##.###..##.#.#.....##.##.##.#.#.#####.##.....###.#######.##.############.##.####.#.......#.#.#.##..##########...##.##..#.#.##..#.####..##.##.##.##...##.##.....##............##.##.#.###########.##..####.##..##.#..#.#..##....##.####.#..#......##........#..##.#.##..#.#.#..##.#...##....###.#..##..########.#.##.####....#.#######.##.#.#####.......#########.....##.#..##.##.#.#.####..#.#.###.##....##.####.....##.#...##.##.....#..##.....##.######.....#..##.....###..##.##.#
##.#####.#...#....#.##.##...#####.##.#.#.##..##.######....#.#..##...##.######...######.##..###.##.##.##.##.#......#.##...####.##.#..###.########.#.#.......#..####.#######........##.###.##.#.##.###..##.#.#..#.##.##.##.##.##....####....####.####.#.#.######.##.##.#...##.#.#.....#####....##.#####.#.##..####.#..##.#.##.######..########.#.###...###.......###.###.##.####...##....##...........#######.#...##......##...#.#.#######.........#####.##.##............##..##....##..##.######.######..#.##.##...##.####.#######.....#.#...###.##.#..#####.##..#.#..#
#..#.##..###.####.#.##..##.##.....##########.....##.##.##...#.####.##....##.#######.#.....##....####.#.....######.#..##.###.#....#.##.#..##.###......##.##.##....#.....#...##.###................##..##....##....#.#..#..#...####..######.#.....#.###.#.#..........#.##.##..#.###.#..##.###.##...##.#.#.###.#....##.#....##.#.#....###..##...#...###...######.##...##......#...#.#..##..#########.#.#..#.######.##.####.####.#.#..###.#..#########.#...##....##.#######..##..####.###....#.#.##..#.....##.##..##.###.#.##..##.#...#####.#######.##...##..##.##.##.##.#
##....##........#.#..##.#...#######.#.#.#####.##..#.####..###..##...###.##..#.###.....#.#..##.###..#.#####........##.##.##..####...#..#.##....##.#############.#...###.##.##########.#.#.#.###.#....####.#.#####.#.##.##.##.##....##.####.#####...#########.###.##.......##...#...##..#.#....#.###....#.....##.#..#.####.##.#.##.#.#.#.#####.###.##..###...##.####.#######...###...######.##.##...####.#.#.##....####....##..#.#.##.....###.###.##.##.#####.#####.#.#.#.##..###...#.####...#..##.###.#....##.###.##.......##..###..##.#..###..#..##.####....##.....#.#
#####.#########.#.#.##....#..###.#.......##.#####...#.###..##.##..#..##.###.#.#.#.#.#.####......##.####.#########....##.###..#.###.##......#.#####.##.######.#######...####.##..#....#.#.####..##.#...####..##...........##.#####.........##.##.###.##.#..########.###.#..#.#.##.####...####.#.#.####.#.##.######....#...##.#..###...#.##.##...#.#..##.###....#.##.#.##.###.######.#..##..#..####..##..#.#.####.###.###.####.#.#.######...#...#.##.#...#.#####.#.........##.#.###...#.##.###.##....####.###..#.#.##.#####.###..##.###...##.##.##.##..##..####..#####.#
#...................####.###.....####.####..#...###.#.#.##.##..#####.##..#....#.########.##.###.#...##..#.##.##.####.##...##.......#####.#.#...##...#.#.##........####.#.#..###.####.#.####...#######.#.#..#############.##.......#####.#.#..#..##..#..#.##........######.###.##.#.###.##........##.#.####.#.#####.#.###.##.##...###.#.#..####.....##..#.####...##.......####....#.#.####.##.#.#..####.....#.#...#....#..##..#.#..##.##.###.###..#.###.....#.#.#.#.####.##..#..##.###....#.#.#..#####.#.#.##...#.##.#..####.##..#.##..####.##..#.##.####....##.......#
########.#########.##.####.#####......#..##.###..........#.##.####....##.#.##....#.####..#..###.###..##.#.#..........####.########.#.#.######.##..#......########.#.#....##.#...#..#####....#.#.........#.##.###.###.#....#.#.#.#####.###.##.##..##.##.#.#########.#......##..####.#....#######.##.....#.#.#.#.#.###.##..##.#..#####.#.##...######..##.#.##...#######.##...#####......##.....#.##.##.#####.#.###.####.##..##.#.#.##..#...##.#.##.#.#.###.#.......#.#.....##...##....####.#...##..##.#.#...####.#.#..#.##.##....##..##..##...##.#.##.#.##.#####.###.###
#.....####.##.####.#....##.......#.##.#.##......########...#...#.####.##.#######....#.##.####.#.#.##.#......#.######.......#..#.##...#.##.##.....##.##.#.#.#.#..#.#.##.#......#...###..################...##.........####.#######......#........##..#..#..##..##.########.###.#.#..###.##.##.#...###.#...#.#.#....#..###.##.##..##.#.#..###..##.#..##....###.###.#.####..#..##.###.#.#######.#.##.##....##...#.#.#.##..##.........##...####.#..#.#.#..##.##.#.##########.####.#..######....####.##..#.##.##..#.#...##.#..####.##..##..###.###.......#.##.........#####
#####.#.#..........#.###########.###.....####.#.#.....###.##.###.#.#..##..##...####....#.##............####.###...########.##.#.####.#.##..###.#.#######.#.#.##.#...##.###.##.###.##..##.#......#.#######..###.#.##.###...##.#..######.########.###.##...###.##...#.###...........####.#..#..##.###..###.....####.##.....##.##.##..#.#.##.#.###.##.#..#.##...#.#.#....##.##........#.....##..#.##.####.#####.#......#.####.#.##.#..##.####....##.#...###.########.#.#...........###.#.####..##...##.#.#..###.#.#.###..#.##.......##..##.#...#####.###.##.######.####.#
#.........##.#.#.#.#.#.#.##.##.#########..###.#.#####..#...#.#.#.....####..#.#..#.####....##.#.#.##.#.###.#..####......................##.##.###.#....##..........#....#...#..#...##.###.#.#.##.#.#...##..##.######.#.###..#...##.#..............##....###.#..###...#.###########..#...##...##....##...##.##...##..#####.##.#..###..........##..#....#####.#...#.#.####..###.###.####.######.#.#..#.#..##....######....###########....##.####.##.###.#.###.#..........#####.##.##.#....##..##..###..#.##.#.#.#.....##....####.####..##....###.....###.##.#...##..#.#.#
##################...#.#.##....###..#....##.#####.#.##.###...#.#####..##..#####....####.#..############.#.####..####.####.##.##.#.####.##..#...#.####....####.##.###.#.##.##.####....##..#####......#..##.##..#.#.#.#.#.##...###..##.###########..##.#.##..##.##..#.............##.###.####..###.#####.#######..#.##..#..##...##.#.########..##.####.....#####......###.##.###.####......##..#.##.#...######.#.##...##..#.#.#.#######.##...##..#.#.#.#..##.#############....##.##.####.##.####.#.##.#.##.....#.#.###..####.....##..######..######.#.#.##.#.#..####.#.#
#......#.##.#.#.#..#...#.#####...##.##.#.....#.#.......#.##.##.##.#..####.##..####...#..#####.#.##.#.#..#.###..##.#############.###.#...##...######.######....##..#############.####.###.##.##########.....##.#.#.#.#.#.#..###.##..####..........#####..##..#.#..##.##.##.#.#.#......#.#..#.##.#....####.#..###.#.###.##..#.####.###.##..##.##.......######.#..######.###..##..##.#####.##..##.##.###.#.##........#####...#.#.#.##.##....#####.#.#.#...##..#.##.####.##..#.##......##..#...##....##...###.##.#.###.#.###.#####..##...#.#..##.#.##.#.#.##.#.######....#
######............####.#..##.##.###.########.#.#.#####.#....##.##.##..#.#..##....###.##..#.#.......#.##.#.#.##.#...##.....##....#...###.###.##..##...##.###.###..##.#.##.#.##.........#..##.#.#.#...######..#.#.#.#.#.#.##........###...##.#####.##.#..####.#.##################.###.#.##.#..#.##.###.##.##..##....#..###...###...#...##.##..#######.#..#.#.##...#.#...#..####..#..#.....##.#...#.##..#..#.#.########.###...#.#.....#.#.##.#...#...##.####...##.#.....#########.#.####.###..###.#####.#.###.....#..#.#.#..#.#..##..#...##..#.#.#..#.#..#.#..##....####
#.#....#.#####.##.#....##.#..##..#...##........#.#.....####.##.#..###.....####.#......##.#.#######......#.#.#....######.###########......##..##....#.........###.#....##......#.#.###.#.##..#...##.##.##.##.#.#.....#.#.##.######...##.###.#......#.##.#.##...#.#####.#.##.#.#.###........##.#.##...#.#..###..####.##.#.###...###.##.##...##..#.####.#.##...#..###.###.##.#.###.##...###......###..##.#.#######.###.#.#####.#.#####.#.####...###.###..#..###..#.####.##.#...###.#..##...##.##....##.#...##..##.##.##.#.#.##.##.##.########.......##.#.##.#.######....#
#.##########.#########.#..##.###.###..########.###.###....#.##.##..###.####..########..#...##...#..#.##.....####...##....#.##.###.#####.###.#########.###.#.##...####.##############.....##.###.#...........#.#####.#.#..####...#.######.########.#.##.#.####.#..##........#.#.####.##.##......##.###.##..###.##........####.##.......##.####.#.#..#.#..###.##..##.##..##.#.#.#..############..###.......##.#.....#.#.#.......####....##.##.##...##..##.##.##.#.##...##.###.#.###.#####..#.#####..#.#.###..##.....##.#.#.##.#..##...##.#.#######..#.#.##.#.##...##.###
#..##.##.....##..#.#...#.##...##...##.####.....########.#.......##.#.#......##.....###.#.######.#########.########..#.##.#.##.....#.#.#.#.#...#.###############.##.....##.#.##.#.#...#.#.#..#.....#########.....#.#.#.#.###.###...###.#..##.##.........#.#.#..#.#######.##...#......##.###.##.##...##....##......##.#.#.......#####.####.###..#.##.....##.#.#..##..##.##..#.#...##..##.##...##.#.##.###.###...###.....#######.#....####.....###.###.##..#..##...####.#...##....#..##.###.#.#.##..##.....#.####.####..#.#.##...##..#.##.#.#.##.#..##.#.#.......###....#
#.##...#####..##...###.#.####..###.#..#..##.##...##.....##.#.##......##.##########.#.#.#.#.##.....##....#.##.......#####.#..#####.#.#.......###.#..#.##...##.#########.......#.....#.###.##.####.##.....####.##.#.....#.##..#.###...#.##.#...##.#.#.##...#.##.#.#.#.#.######.###.#######...##.####..####..###################.#.##...##...#..##.######........##..##...##...###..#.##..#..#.##.#.####.....##.##...#.#..###.##.####.#..#####..##.#.#..##.##..#.###......#..####.##.##..##.#...###.##.########.#....##.#...##.#####.####.#...##.##.##.#.#.########..####
#..#.###.####..###.....#.#.#..##.#.##.##..######.####.#..###.###.#.#..#....#.##.#........#..#####..####....#####.#.#.#.#.##.##......###.#.#..##.##....##.##...###....##.####.##.#.##.##......#...####.#....####.#####...###.#.#.#.###..#.###.###########.#.##...#.#.#.##...#.#.###.#.####.##....#..#####.###.......#.#.#...##.#....#..###.#.###..##..##.##.##..##..##.##..#..###....##.####.##.....#####.########.####.#.#.#...###.#.##...##.##.#.##.##..##.#..######.###..........#.##....###....#...##.##....#.##..#.###..#.##...##..##.###..#....#.......##.##.#.##
##.#.##.....##..##.#.#...#.##..#.#.......####.##....##########.###.##.#.####.#..##.#####.#.#######.#.#..##.#.#...#.#.#.#.##.##.####.##..###.##..##.##.....##.##.##.#..###.......##########.#.#####....####.###......###.#.#.#......###...#.#.#.#.#.#.#.#.#..###.#.#...#..#...#.##..#.#.########...##...#.#.####.##.......#..#.#.##.##..##.#.#.##.#..##########....##...####.##.###.##....#..##.##.##.###...##.###.#......#.##.##......##.##..##...##..#.##..##..##.#..#.##.###.#.#....###.##.##.#...####.##.########....###....#.#####.#..#.##.##.###.#######...#.#..#
#.......#.#.##.#########....#.##.#######.........##....###..##.#...##.#.#..#.##.##.###.....##..........##....###.#...#.#.#..#####.#.######..##.#####..#.#..#.#..#..#########.##.###.##.###.#.....#########.....#.##.#.#.#.#.##.###.#.###.......#.#.#.......##...#.###.######...###.#.#.#.#......####.#.....##.#####.#.#.###.....#####.##.......#...##.##....#####..###..##..##.##...####.##..####.#..#.#.####.#.#.######.......#####.##..##.#####..#.##..##.##.##..##.#....#...#.##.#.....##.#####.##..#.#..##.##..##.###...##...#.##..##.#.##..#.##..#.##.####.#.##.#
###########....##...##...##......#.#.#.############.####.#.###.#####......##.#..####.#.#.#..###.############...#####...#.##..##.#.#..#.#.##.#..#.######.##...##.##..###.#....####........######.#######....###.###..#.....#.##.#.....#.#####.#...#.#######..###.#.###...#.##.#..#..........####....#.####.##..###...#####.#.#.###.##.....#####.###..#..####.#.#.##.###.####.##.#..###....#..####..##.#.#.#.#....####.....#.###..#.#...##..#.######......##......##.####.##.#.#.#..#####.####..##....##.#...##..#..##....##.#####...##.##.....##....#.##.....##..#.##.#
#......#..####..#.#..###########.#.#.#.#..#.#.#......##....##..##.#..##.#..#.##.#.#..#.#.##.#.####.##.#.#.####.##.####.#.##.##......##.#.#..##.#....########....#..##.#.####.#.###.#.###..#.#...#.......#.#########...#.#....#####.#.......#.#.#......#..##..##.#...###.#.##.##.###.#.##.########.#####.#..##...#####.....#.###...##.#.#.##.....###...##....#......#.#.#.#..#..##...####.#.###.#.##..#.#.#...#####.###.########...#.#####.#..##..###.#########.##....##..##########..#...#.##.##.#####.###..##...##..#######..###.##...###.#######...##.#######.#.##.#
######.#.####..#####..#.#..............##.#.#.######..####.###.#....######.#.##.#.#.#######.#.##....#..........##........##.#..##.#......#.##....####.##.######.##.##.#.###..#.....######.#.###.##.######.##..##..##.#####.#..##.###.#.###.#####.####.##....##..#.####....#####...########......#.#.##....####.##.#######.#######.############.##...#######.####.#.......##.#.###.###.......#.......##...#.####..#.#.####.#.....#....#.#..##..##..##.#..##..##..#.##..#####.##..####.##.##.#..#...#.#..#.#.###.#####..##.####...#..##.##......##...####.#.#.##..#.##.#
#.#.......#.##...#.##...####.#.#.#.#.#....#...##...#.##.....##.#.#.###..##.#.#......#.#.##.....####...##.#####..########......##########....####.##.#.##.#.###..##.#..#.#.##.########.......#.#.##.##.##..###..##.##..##.####.##..#######...##...#..#..####..##.#.#..###.##.#.###..#..#.#..####.#.#.###.#..##..#..#.#.#...###..#..#.#.#.#.##...####...##..#.##...#.###.###..#.##...####.###.###.###..###......##.#....#.....########.#.##..##.###.#....####.#..##.###.#..#...##.#..........##.##.##.##.....##....#.#.##..#.####...##...##.########.##........##.#..#.#
#...#.###.#....#......#..#...############.###..###...######.##.#####.#.##....######.#.#..###.#..#.########..###.#.#..#.##.######.#....##.####.##.##....#.#.#.##.#..##...#.##.#....#.#######.#.#.##.##....##.##....######.###..###..##.#.##.##..####.##..#...##..#.#.##........####.#.##.######......#.####..##.##.....###.#.##.##.#.#.#...##.#....##.####....##.#####....##.#.####..#.####....###...#####.#.####.##.#...##.###...###...#..##...##...#####.#...###..#####.###......##.###.#.#...#.#..##.###....####.#..##.#.#..###..##.###..##.##....###.######..##.#.#
#.#.#.#.....##.#####.###...#..##..#.#.###.#.#.######.#.##....#..#.#.....####...##...#.##..#####....###.##..##.#.#.##.#.#####.#.#.####......##.#...####.#.#........#####.#.#####.###..##.#.....#.###########....##..##..#...##.#.#.###.#.#...#####.#.###.###..##...#.###.#####........##...##.#####.##..#...##...##.##.......#.........###..#####.##..#.##.#######.#.####.#..#.#.###...##.####..####.##..###.##.#..##########...#.....#.#.####.####.##.##..###.#.##..##.#..#####.########.#####.#.##..########.###..##..#.#...##.##..#.#.#.##...##.###.#.#.##.#.##....#
#.#.#.####.#######...##..#.#.####...........#.##.#......####.##.#.#####..#.#.######.#..##..##.####.....###.#...........#.#.#.#...####.###.##..#.###.#....######.#.......#...#.#.....##....###....###..###.##.#.###.###.###........#.#.....###.#.#.......#.##.##.###.#.###.########.#....#....#.....###.##.##..#....#..#####.#########.####..##.#..##...##..##..#.........#.##.#.#.##.##....###.#.....#.##....#.##..#.###.#...#######.#...#.#..#.#...#.###.##....##.###.##....#####.##.....#.#.....#.##............###.##.##.##...##.#...#.####.....##...#.##.#..####.#
#######.#####.##...#.##########...###.#.###........####............#####...#.#.##.#.#.##..###..#####.#..##...##.#.#.##.#.....#.#.#....#....##.....#.####..##..######.##...###.#####.#..########.##.##.#.#.##.#.#....##.....##.###.#.#####.###...###.#.#....#.#...##....#..#.#.##...#######.#...###.#.#.#..######.######.....###.###.#.#..##.##...##..#####..##.#########.#.##.#.#.#..#####.#.#.####.##..##.###.###.........#.#..##.#####...##...###.#.#...#####......#.#####.#.#....#####...#####.#..########.##.##.#.##.##.####.##.###....##..###.####.#..#.##..###.#
####.#.........#######.#..#.#.##.##...###...##.######...#.###.##.#.......#..........#..##.#.##...######.#..#.########..#####.###.#########..#####.#.##.##.###.##.##..####..##...#...##.#............#.#.#.#########..#####..#####...#.......##.##.######.#...##.####.#.##.....######.#.#######.#.......##..###.####.#...###.#.........##.....###.##.##.#.#.##...##.........##.#.#.#.##.##........##.##.###.###..###.#.#########.#........###..####....##.##.#.#.######..#.#....####.###...####.##...##..#..##.##.##.#.##.#...##...#..##.#####.######.#....##.##.##...#
#.#....######.##.##.##.##.#.#.#############..####.....#.#.#...#######.#############.#.##....####.#.##.....####...#.###.#.#.#.##.....###.###....#.......##..##.##..##..####.####.###.#########.#.#.#........##.#.....###.##.####...#.###.#.#.#..#...#.#.#####..#.#..###....#.#..##.#.....#.#.##########.#..##.#.##...#####.#.#######.#..##.#.##......##.#.#....###..#.####.##..#...#.#..#..##.##.##...#.##..#.#.##.#######.#.##....######...##....####.#..##.#.#.#..#.##.#.#.##.##.#.#.###..##.....#####.##.#...###..#.##...######.##......##..##..##.####..#.##.####.#
#.########.......#......#......###..........##....##.##########.#.###..##.##...........###.##..#.#....##########.#.#............#.#.........##.#######..##.##.#..######.........#....##.#.#...#.########.###..#####.##...####.#####.#.#.###.##.##.##.#..#.###...#.##...#.#####.#..#####.......##.#.......##.....##.##.##.......##...##.####.##.####....#.#.####.######.....##.###.#.##.#######..####.#..##.#.#.##.##.##...#..####.#......#....#####.#.##.#....#.#.##.##.#.###.........###.######.##.##..##.#.#...##.#.####.....##.####.#.####.##.##..#.#..##.##..##..#
#.#.###....##.##...##.#...#.#.##.#####.#.#.###########..###.........####.....##.#.#.#.###...##...######.##.#..#..#...###.#.##.#.####.####.#.##.##.#.#..##.......###.#...#.##.##...##.##.....#.#.#.........###.###......####.........#...#......##.#..#.##..####.#..#######.#.#.##..#.########.#..#######..####.##...#.#..#.#.#..######.#.#...#.#..####.#.#..##...##.#####.##......#.##...#..#..##.#..##........##.##..###.#.##....###########.#.##..#..#.####........##....####.###.#.....#.##...##.#..##....#####....#.#..#####..#.#..#..##...#.#..##...##..##.####.#
#.#.#...#########.#######.###.##.#.##########.##....#..##.##.##.#.#..##..###.#..###.#...#.######.##.##..##.##.##.##.##...#.#..#.#....#....#.#.......##..#######.#.#.#####.#..#..#.#...#####.#.#.#.#.#####.........#.##..#.#########.#########.###.##.#.#..##.#..#.##.##.##.#...###.#...####.#.##.##......##.#...###.#.########.#####.....##.#####.###..#.#.##..###....##..###.###.#..###.##.##.##.##..######.####..#.##......##########...#.#.#..##.##....#...############...############....###..#.##.#####..##.####.#.#.##.#.##.#.#.#######.##.#.#####.#..##..##...#
#.#.#####....##.#.#.......#........#.#####.....####.##....##########.#..##...##########.#.###.#..#..###.............###.##.#.##.#.#####.#.####.##.#....##.#.#...#.#.#..##############.#.....###.########..###.#####.###....#..##.....###...#.............##..##...#..#..##.#.#..##.###.#..#.#.....######.##.##.##...#.####......#..#####......#.....##.#...#..##.####..##.#.###.#.#.##..........#..##..####..##.#.##..###.##.#..........#.....#.##..#####.###..##.##.#.#...###.##.##.#..###.##.#.##.....##...###.##.#...#.##...#..#.#.#.#.##..#..#.##....#.##..#####.#
#.#..#.##.##.##.##############.#.#...#.#.#####.......####.#....###.#.##..##.###...##.##.....#.##.##.#...#.#######.#.#.###..###..#####.##########..####.##.....#.......##..####.....##...##.#########.....#######....#...##.##..#####.#.###...##.#.#.####..##.####.##.##.##.####.#...##.##.#.##.#####.....##.....###.#.#..######.#.##.#.######.####.##..###.#.##...##..##.....#....#.###########.#.####......##....#..##.####.##.#.#.#.#.#####.#.#..##..#..#.#.##..#....###.##..##.##.#.##...##....####.####.###..#..#.###..###.##.#.#.....###.##....####.#..##..##...#
#.##....####.##..#.#..##.#..#..#####...#.##.#######.##.##.####..#.....########..#.......###.#.......########......###.####.####.##....##.##.#.#####.....############.##..##..#####....#.#####..##.#..#.#.##.###..##.#.#.#.....####......#..##############.#...###.##.##.##.##.#.###.....#.#.#..##..#####..#####.##....#.##................#...#.#..##.##.#.#..##.####..#####.####.#.#..###........##.###.##..####.#.##..#....####.#.#.#.###.....#.####.##...#..##.#.####....#.###.#....##.#..#.##..##..#.#..#.##.##....##.##.#......#.###.#......####....#.###.#####.#
#..##.#..#.#.##.##...##..##...####.###.#....#.###.#.#.......###...#.#..#.#.#.#####.#.##.#.#.#######.####.....##.#..##......#..#######..........###..#.#....###.#####.##.####..##.#.#.####.#.#.##....##.#.#....####..#########.##.######.####.....##.........###.#.#..##.##.##.#.#######.#.#.##....##.....###.#...###.##.###.#.##.##.#.###...#...##...........##..##.##.###.#.#.#....##.#.#.###.##.#....#.###.........##.####.#.##########.#####.#..##..####.#.##.......####.#.....####..####.#####.###.#.##.#.##..####.##.#..####.#...#.#####.##.#..####.#.##....##..#
#.##..##.....##..###.###....#.##.......####.#.#.#.#.#######...##.##.##.....#.###.#####..#................#.###..#.###.##.#.##.....############.#.##.######.#.......#.##.#.#..##..######.......###############.#.###.######...........##.#.######..#########..##...##.##.##......#.#.....#....#.#########.##..###..##.#..#.#############...#####.##.#.#.#####..##.##.#..#.#.....##.####...########.#.######.#.#.##.####...#......##.#..##........##....##.##.#....#.######.#.##.##...#..###...##.....#..#.#.......##.#..##...##..#####....#..####...##.......###.##..##
#..##.##.#.#..#.##.....##########.#.##..###.#.#.....##......#.....########.#.#.#.######.##.#########.##.#######.###...##.#.#..###.........####....#####......#####.#.##...##..##.##.#.##.#.##.#.#...........#....####.#.#..#.#######........###..###.#..####.####..#.#...#####.##.#####.#.##...##.##.#...##.#####.##.#.##..#.##.##.#.###.######..########....##..##.##.#.#####.#.....###.##..##......##.#..#####....####.##.##.###.#.##..######.#####.##.#..###.#####.##....#######.##...###..###.#.#.##.##.#######.##..###.##.###....####.##..#.########.###....##..#
##..###..#.##....#####.#.....##...#..##.........###....##.#.#.#.###.....#....#.#.#.#..######.........##.##.......##.#..#.####.####.######......##.......######.##..#..###.##.##.......#######.#.##.#.######.##.###.#......#####..#####.#.##.#.#.###..##...#...#.##.....###.#.#.##.##....######.##.##.#.#....##..........#.##....#..#.#.####.#...####..#.####..##..#.##.#.#.#.#.#.#####....#.##..##.####.##.##.#..####..#..####...#.#..####.#......#.#.##...##.#...##..#####.#.##.##..###.#.##..####...#.....#.#.##..###..##..#.#.#.##...##..##...#..##.##...##.#####.#
##.#####.#.###.###..##.#####..###############.###...##..#########.#####.##.#.........####.####.#####.##.#..##.#.###############..###.####.#.##..###########....###...##.......#####.###.##......##.#.#...#.....##..######.#.#.##.#.#...###........#.#####...#...#####.##.......#...####.##.#...##......####.#########.#....####.##......##..###..#.##.#...##.####....#.#.#.#.....#.######.#.######.#.#..#.....##....#.##.##....###.#.##......##.#.....####.##.#.#####...##....##.###.###...##.##.####.#####........##.#.####.#.#.###..#####.####...##..#..###..###.#.#
#.....####.#...#.##.#...#..##.#.##.#.#.#......##..#######....##...###.#.######.#.#.#.........####....##.#.###.###...###.##.#.###.##.......#.##.####.#####.####.....#..######.###........######.##..#.###.#####.###.##.##..#..........###...######.#..##...#####.......########.###..#.#.##.###.######.##....#.#..##.#.######.##.####.##..##.##..##.#..###.##.#..###.##.....#####...#.#.......#.#.#...##.#####.###.###.##..####.#.#.#..####.####.##.##..##...#.#..#.#..#######....#.#.#...#..#.##.#.#..#.....###.#.###....##....#...##...##..#..#.#..##.##.#.##.....#.#
##.####.######.#.##.###.##.##.#.#....#.##.#.#.#..###..##..##..###.#.#.#.#.#.#..#.###.#.#####.##...##.##.####..####.##.#.#........#..#.###.###..##..............#.#.##..##..#...########.#......########............##.##.###.################.......########.########.#.#.##...####.#.#....##...##..####.##...##.#.....####..#..#.######....#..##..#.##.#.#..#.##...###.####..##.#.#.#######.#.#.#.###...##.....#...#.##.##....#.#...##....#....######..###.#.#.##.#.##.....####.#.#.##.###...##.#.##.###.#..######.###.####.#...#####.####.##.####.#...#.#..#####.#.#
#..#.##...#.##.#.##.#.#..#.#....####...#..#.#.####.##.#####..###........#.#.#######..#.##.......#.#...####.####.........####.#.#...##.##..#...##..#.##.#.#.#.#.#.#..##..##...####.##.#..####.#..###.##..#.#.######.##..#########.##.##.##.....#.#.#.##.#................#.####.#.#..#.####.##.#####..#.####.#..#.####.##..##.##.......#####.##..##......#.##.#.##.#..##.#..##.#..#.#.#.......#......####.##.###...###.##..###.##.###.##.#.#######.##.##.#...#.#.##.#.######.##.#...#.########.##.#.....#####...#.#..##..##.#.###.#.##..#.##.##.##.....###.#.##.##..#.#
##.#..###........#..#.##...##.###.####...##.#.#....#....####.#.##.#####.#.#.###.#...####..##.#.##.##.##..#.############....#.#.###.#..###.###..####.##.#.#.###.#.######..###..##...#.##..######.#.#.#..####.######.###..#.#.#...........###.#.#####.#..##########.##.##.#.#....#.##.#.##.......####.##.##.####....#.#.#..###.###.#.####.#....#.##..####.#.......####.##.##..#.##.###.#######.###.####....##.###.#..##.##.###...#.##...######..##..........#...#.#.....#.#......###....##.#.#..##.#.#.#..##...###...####..#.####....###...##....##.#.#.#.#...##.###...#
#....##.########.#.##....#.#...##.#..##.#######.##.###.##..#.#.#..#.......#.#.#.###.#....##..###########......####..######.##########...########.#..##.############.#.##.#.#.#####...###.#.##...#.#.####.##.#..........##...####.##.#.#..########.....##..........####....##.#...##...########..##...#.#...#.####.#.#.#.##.#...#.#..##....##...######...####.##..##......##.#.##..##.#..##...#...##.####.####.####.##.##...###.#..##.###.....##..##.#.#.#.###.....#####.#.##.#..###.###..#.##....#.####..###.#.###..#.##...##...####...###..##..#.###.#.#.###...###.##
#.####..##..........##.###.#.###..##.####.##.##.#.......##.#.#.##.####.##...#.#.#.###.##..######...###...####.#..##.#.#....##.##.##.###.###.##.#.########.##.................#.#####..##.#..###.#.#.#.....#####.##.#.#..###....#########.#.#.##.###.##########.##...#####.######.####.#.#.#####..#.###.###....#.....#.#.##.#.######.##########..##..###.#.######..#.####.##.#.##.##..##..#.#...#.....##...##..##.#.##.#..###...##.#..#.#####..##################.####.#.#######.....#.##.#.###.######.##.#.....##..##.#..######.#..#.#...######.####........###.#.#.##
#.##.##..######.###.#####........##..#.#..##.######.#.#....#....#.#....#..#...#.#...##########.###.#.######.#.##......####.......##..####.#.#........###...#########.#######...#.##..##..#.###......##.##..#.#..#..####...####..#.##.#........#.##.....#.#..#########.......##.#.#.##.#.#.#..###...##....####...#.#.....##.#..#.#...#.####.#.##..##...#.....##.##.###.##.##.#.##..##..#.####.######.###.#####.#....##.#.######.##.#.##..##.#.##.#..#.#.##....###..#.....##....#####.#.##.#.#.#..#.##...#.#####.##.##..##.#..##..#.####.###..##...##..#.######...#....#
#..#..##..##..#####.#.#.########.###.....###.#.#.#######.#...########.#####.#.....####.............#.#..#.....#######...########..##.#.#....########.....#.....#.....#.....###...###.###.#.#.######.######.#...#####....#..#.##.#......##.###......#####.##..##.##....#####.#..#...##.....#.##.#.#..####.##.###########.##.#.##.###.............#####.###.###...#.###..#.##...##.####....##..##.#.#.##...##...####.#....##.#...#..#..##.##.#.##.##.#.#..####.....##.#####..#######....##.#.....##.####...##....#...##.##...####...#.#...##.##..#######.##.#.###...##.#
##...##..##..##.....#.#.##.#.##..#.#####.#.#.#.#.#..########.##..##.#.#.###.##.##..#.#######.#####.#.##.###.#..#.#.#..#...###....###...####.##.#.#####.#######.#.###.###.###.#.###....#......#.#.#...##....######.########...#..###########.######.##.##.#..##...####.#.....##.###..#####....#.#.####.#.....####...........#.##.#.#############.#.##........###.#...##....###.##.#.####.######....#..##.#####.##...###.###.###.##...##........#.##.#.##.#.#..#.#.....##.##...##....#.##..###.#.....##..#######...####..##.##.##.###.###..#..##.##..##...#.#.##..#..###
#..#..#.####..#####.#.#.#....###.#..#........#.#.#.##.#.#.....##.##...#......#####...###..#####....#.#..######.#.#.##.###.#.####...###..............########.#.###.###.#.#.#.#.######...##.#...#.###.#####.##......#.###...#...##.#.#.##.#..#..............#####.##...#####....###.##..###.#......#.#.#####....##.##.#.#.#....#.#.#......##.....#.#######.#..#....######.##...##.#..##..#.#.#####...###.#.##..####.##......##...###..########.#.##...#....##.####.####.....#########..##.....####.##..######.###..#.##.#...#.#...#...##.##.###..##..#.#........###...#
#.###.#.#.#..##.#.#.#.....##.#.#.##.###.#.##.#.#.#.##.#...###.##.####.#.#.#.###.####...##.#.#.##.#.....##.##...#...##.##..#.#.#..###...##.####.####..###.#.#.#.###.##......#.#.#.#....#.##.#.#.....#..#.....###.##.......#.#.#........##.##.######.#.#.###.##..#.#..#####.##.#.....###.....#####.##...##.#..#################.#.#.######.######.#.#.##.#####.#.##..#.##...###.#..#.##..##....##.###.##..#.#..##.#..##.########.##.#.##.##.##....####.####..####.#...######.######.#..####.####.....##.##.##...##.##.#....#.#...#.#.###..##.#...####.#####.######.#####
###.#.#.#...###.......#.#.#..........##.###....#.#.#..######.......##########...#....#....#.#.########.##.#..#.###.######.....##...#################.........#.#....####.#.........####.##.#.##.##.##.#####..#########.#####.#.#.##.#.........######.####...##.#.##.###......#####.#.#.#.####.....##.##..##.#.##.####.##......#....###...#.#......#.#....##..#####.#..##.###..##...###..#.#.##.......##...##..#.##..#..###.##..##.#.#..##..####.#..#.#..##..##....###..##..#.##.....##.####.#####.##......##.###.#..###.#####.####...##.##.##.####...##.....####..##.#
##....#.##.##.#####.###.#.##.#.##.##....#...##.....##..#.##..##.####..##.#.####.#########.#.#.#.#.##....#.##.#......###.#####.##.###.###......#......##.#.##...####...#####.####.#.##...##.#.#..#...#.##.###.#.#.##....#..#############.#####.#..###.##.##.##....####.#####.##.....#...####.#####.....##.##.#.##..##...######.##.###.###...#.####.#.####.###.##..#.#.##..#.##..#.###...####.####.#.#..###.###.#..##.#.##.#.#..###.#.#.###.##..#.##.....##..######.#.##..##.#..#####.##..##...##.#.#######.##.##..##.#.....##..######....##.#..#.#..#####.####..#.##..#
#..##..........##.....#####..#.#######.###.#######.###.#.##.##..##...##..#..##....#.#..##.#.#.#.#..##.#.#..#######.##.#.##.....#.#.#.#...####.#############..#..#####.....#.##...#.#..####.########........#.#....#######..##.#...##.##.#.......##.###......##.###.#..#.########.#.###.#......#######.##.##.#.##.##..#.#.#.##.....#...##.#.#.#...............###...#.##.##....##.##..#..##..#..######.#...#.#...##....##.#.#.##.#.....##...##.#..#####.###.##.##..#..##......##.....##.#####.##............#.#..##....#.#####..#...####.#....##.##..#.#...#.##.#..#.##
#.####.#.##.##....##.##..#..####.##.####.###....#........######.###.####.##.###.#...##......#.#.##.####.##.##......##.#.#..#.#...#.#.###.##.#...##.##.###...###.......#.#....###.#.##.#..####.##....######.#.#.##.......##......#....######.#.#.....#..####.....##.##.#.#..#.#####..#########.#.#.##...#..#.#.#..###.#.#.#..#####.###.#..###.#####.#.##.#.##.....#...##..####..#..#####..##.##.##.##..###.#.#.#####.#.#..#.#..#.#####..#.#..#.#.##.........#..###...####.##.#######.....##....####.##.####.#.#.##..##.####....##.######.####.##.##.##.##.##..#.#.##.##
#.##.###.######.###...##.#####.........#.######...#.####..##.....#...##..##.#.#####.#####.#.....##.#.#..##.#####.#..#.#.#.######...#.#.###....#..#.##.#.###..##.#.#.#.#.#.#.##...#######.##.#.#..####........##########..####.#.##.#..##.##.#.##.##...#########.##.##...##.#.....##.#.#.#.........##.#.##.#.#.##.#.###...#.##.#.#.##..##...###.....#.##.#.#..#.#####.#..##.##.##.##.##..##..##....###.#........#.####.##.#.##.#.#...#.#####.#.#..#########.#.##.##.##.#####..##..###.########...#####.####.....###.##..#.####.##..##..#.#....##.##.....#.##.##.......#
####.#####.......####.#..#.#.###.#.##.##.#.#....###.#####.######.##.####.#..#.#####..#..#######.##.#.#.##..#.######.#.#.###..###.###.#.##..#####............###.#.#####.#.#.#..#.#...#..........############..##..###.##......#.#..##.......#..####.#.#..........#.##.###..###.###....#.###.##.##....#......#.##.#.##..#...##......##.#..####..#.#####..###.#####......###.#..##..#..##..##.###.###...########.#.#.#..#....##.#.###.#.#.#.#.....###........#.#..#...#..##.##.##.##....##.##.#.###.#.#.#....###...####.##.#.......##..##.####.#...####.##.....##.#.##.#
#..........#.#.#.#.#####......####.#..##...###.######......##....#..#.##...##.#.#.##...###.#............##.#.#..#...#.#.##..##....##.#..##.#.....#.#####.#.###..#.##....######.#####.#######.#####....##.####.###.....#..###.#####.#..#.###.#####.#.####.##.####......#.##..#....##.#....#########.####.###.#....#..####.#..######.##.##..##..#####.#########.#.#####.##...##.###...##..##...##.#.###.##.........#.##.##.###..#.#.#.#.....###.#...########.#.##.##.##.##...#.##..###.##..#....#.#.#.##########.#####...#.#####.#.#..##...##..#.###.......#.#....#..###
######.#########.#.#.#.####.#.#.##.##..###...#.#...####.##..####.##....##.###.#...####..#..#.##.#.#####.#..#.##.###.#.#.###.####.##..#.#########.###########...########.##.#...#.....##.########.####.##..........###...#######..#############.#..############...#.##....##.#.##########..##.##....######.#.####.#.##..####.#..........#.######.......###.##.....#....####.##.#.###....#####.##.#.....#########.##.#.......##...#.#...##.##...#.###.#..#...............###.#.###..##..##.###.##.#.#..#..#.......##.##.##.#.#####.##.##.#####.#.#.#.##.#######.#.######
#.#######........#......#####.#.######.#.###.#####...######.#.##....##......#.###.#.###.##.########.....##.#.##.#...#........###..##...##.#...####........###.##.#.#.#..#..##.######........##...##...###.###.#.#.#...#.##..#.##..#.##.##.##.#.##..##.#.#....#.#.#..####.#....#..#.#.####.#..##.##.#.#......##.#.#.##.##....##########.#......#####.#.#...###.##.####..#.#.##.#.##..#.###.#..##.#####.#.#.##.#.....#.###.#.####...###.######.#####..##.###.#.##.#.##.#.#...#.#.##.###.##.#.#.#..#.##.##.##.##.#..#.#..##.#.#..##.##.##.#.#.#.#...###...##.#.###..###.#
#.......#######.##.##.#....##.#.#.##...#.##...#..###..###........#.###.##.#...##...........##...#####.#....#.##.###.########.#.#.#####..#.###.#.###.#####.....#....#.#####..####.#...###.##.####....#..##############.#.###.#.###.#.#..........###........##...#.#####.....##...##.#.#......########.##.###..#.#.#..#..##.#..#...........#######.####...#...####......##.#....#..####.#.#.##.##..##...#.#..#.#####.####..###....#.#.#.#.#.#...##.##.#..#.###########.#####.#...##..##..#.#.....##.#..##.########.#.##.##...##.##.##.##.#.#.#.#.####..#........##.....#
##.######..##########.##.#.........###.#..###...##...##...#####.####....#####....#.##.##.#....###.#.######.#.#..#.#...##.....#....#..##...##.....#####....#.######.#.###.##..#.#.######..#...#...#.###.#.##..#.#.##...#.#...........##.#####.#.....#.##.#.###.##.#.....##.##..#......######.##.#.##..#######...#...##.######.###########..##.##..#.######.#..##..####..#.###.##.##......#.#..#..#####.#.#.##.#.#.#.##.##..#######.....#.#.##.##..##.##.#.#..#.##.#....##...##.###.####.#.#.#####....##..#.#.###........##.##..##.##.##...#.#....#.#.#############.##.#
#...##.#..##......#.#.#####.#####.####.#.##.#.######.#..###........###.######.#.##.#####.####.##..#.###......##...##.#######.###.##.#####..####.##.....#######.#.....#....##.....#..#.######.########.....##.#.#..#################..###.....###.#.#.##.#..#############...####.#.#.##..##.....#..##.#.##..###.###.##..#.#......###....##.##..##.#..########.######.##.#.###.##..#####.##.##.#.##.##..#....#...#...#..###..##..######.#.#.##..##.#..##...##...##.##.#.###.##...#...##.......##.####..##.#.#.#.###.###.###.##.##..#..####.#.#.##.#.#.....#.#.##..######
#.#.#..##.#######.#.###...######...#.#.#.#..#....#...#.###..#.#.####.####.#...#.#..#.....###...##.#.#.##.###.####.##.#.###.#.#......#.#...##.##..#######.#.#.#.#####...##.######.##...#.#.#...#.#.#.#####......##..####...#.......##.####.#.##...#.#..#.#.##.##...#######.##....###.###.####.#...##.....##.........##.##.######.#...##.....##.##.#.##....#...#.##......#.#...##.##.#.#.##.##......###.####.###.###.#.##...####.#..#.....#.#..##..##....#..###.#..##.#.#....###.###..#####.####..##..##..#.#.#.######..........##.##..##....###......#####......##..###
#.#...###.#.#.#...#.#####.##.....#.......##.####...#####...##.#.##...##...#####.##.###.#.#...#.........####...#.#......#.#.#.###.####...#.##.#..##.##....#.#.#.###...#.#..........###.#.#.###........#....####.#..##..###.###.###..#.#....#..##.##.#.##.###.....#.........###.#.#.......#.######.###.#########.###.##.##......#.#########.##..##.#.#####.###.#..##.###.....#....##.#...##.###.###.#.#...##.#.....#....###...##.##.#.###...##.###..#.#####.....##.####.####.#.#.####.#.#.#..#.##..##..##.#.#.#.#.##.####.#######..###.#..####...####.##.##.####..##.#.#
###.###.#.#...###...#.##.....#.#.###.#.#..#.##.###.#..#############.#####.#.....##.#...#.#.#.######.##.##...#.....#.##.........#.##.#####.#..##....#####.........################.#.#.#.#.####.#####.#######.....####.#.#.#...####.....#######...###.########.#.##.#.#.####...#.#.##.##...#.#..#......##.#.#.###......####.##.#.#.###.##...##.##.#.#.#.#...#...##..#...#.#.##.#.#..#.#.##..######...#.####.###.#.#.####...###..#..####..###...#..############....#.##.#.#......#.#..#.#...##.##.##..##..#.#.#......##.#..#.##.##.#.....##..#.####....#.##...#####....#
##...##...#.#..#..#....##.###############.......##.#.##...#.#####...##....####.######.########......#...#.#.#############.####.......##.....###.####..###.####.####.##..................#.#.####......#....####.##.##.#.#.#####..##.####.......###...#.....##.###..##########.#####..####.#.##...####.##.....#####.##..#####.............#.##.##.......###.###.#####.###.######.#.####.#..##.##.###.#.#.#...####.#....###..###.#.###.##...###.#.##.##..#.#.####.##.#....####.###.##.#.###..#.##..#.####.#...######......##.##..#.###.#####.####.###.##....#.#...#.#.##
#..#..##.#####.#.#####..####............##.#.##.......###.#.#.#.###..####.#.##.#.######.#.#.#######.###.#.########.#.#....#....#####..####.##....#.##..####....##....#########.#.######.#.#..####.#.#.#.##.......#.#......#.##..##..##...##.##...##.######....###.###.#.......########.........####...######.#...#.###.#...######.#.###.##.......#####..........#..#########......#.#..##..#.#......#.#.###.#.#..#.####.##.......#.#..##.##......#..##........#.##.#.##...#....#.##.#..#..##.###....##..###...#.######.##..###.#..##.#.##..##...##.....######.#####..#
##.##.##..##.#.###.####.##.###.########....#######.##.......#....#..##.#.....###.#.##........####...#.....##...........##########.###..#.#.###.###.#..##.#####..##.#.#....########..........##..#####.##########.#.######...###.###########.##.######.#.###.#.#...##....##.####.#.#..###.########.#.#..#.##..###...#.###.####.#.###.#####..##.#.###....####.##.##.##...###.###.##.#.#.##..##.####.#...#..##...##.#...##.#######.##.##.##..######...###.#.#.##...##.######.####...##.##.##......####..##.###.#.#....###.#..##.#.#.##.....##.####.#..#######.##.##.##.##
#..#...#.##....##.......##..####.#.#.##.##.#...#...#..#####.####.##.##.####.###..#..#####.##....#.#.#######..##.###.#.###..........###...#.#.#..##.#.##...#.##.###.######..........####.#.#..##.###....##.#......#.#..###.#......#.#.####...##...##.......######.######.#..###..#.#.##.########.#.####...###..####...##...##......###.####.##.###.######....##.##..###.#.....####......#.##..##.#####...#####.#..#.###..#..#.##.#..##..#.####..#.###.##########.....#.#...##.#.####.##....##.###.##.###.#...######...#.#.###...#.###.#####.#..#.##.........##..#.#..##
######....####.########.##.##.#.........#..#.#...#.##.#.................##..#.##.#.##.#########...#.###.####.##.#...###.###.##.###...###.....##.##.#..###.#........##.#...############..####..#.#.####......####.#...##.######.#........#################.##.##..#.#########.##.#.#.##.###........##.###.#.#.##.##.######..#####.##........######.###########...##.#.#.#####..#.####.#.#....###.##....#..#.#....##.#.##.##.#......####...##.##.....#.##.##......#.#.#.###.##....##...##.#..####.....#.#.###..##..###.......###....##.###...##.#....###.#######...##..#
#...####.###...#.#..##......#...#.#.##.###.####.#########.#.##.####.#.#..##...##........##......#####.#.#.#..##.#.#.#.....#########.#####.####.....#.###..###.##.#..#.#########.##.....###.##..........######.##.###.##.##.#.##########...#####.#.#.##........####.#...#.##............#.###.#.##..........#..#.#..#.##.#.##.#.#..####.#####....#.#....#####..#..#.....#.####........#...#####..########.#.####..#.#.#..##.##.###..##..###...##.####.##.##.#.#.####...###.#####....###..##..#.#####.#.#.#...##..##.##.#.##..#####......##.##..##.########.#.#..####.##
###........###.....##..####.##.######..##..#....##........#..#####..###.###.########.##########.###.........#####.#.#.#.#....#.......#.#.....#.#.#.#.#.##.#.#######.#.#..#......###.##.#...###.#.##.##.#..##..#............#.##......####.#.##.......##.#####.#.#..###.#.#..##.#######....##.#############.#.##.##.#.##.#.##.#...##.#####.##.##...####.......###.####.##....###.####.###.##..##..#..##.#.#..####.....#.###..###...##..#####.##....##.#...#######.####.#....#.###.#...##..####.#.#.....#.###..#.##..#######.##.....##.###..###..#.###.###..#.##..##...#
#.#######.###..###..#####.#.....##....###########..###.#.##.####...###....#.##........##.#...####.#####.##.###.#############.#######...##.########.#.#.#..#.###.#.#.#.##.######.#.######.#..##.#..#######.###...#.#.#.##.#....######.#.#....#####.#.######........##.....########.##.###.######..............##.#.....#.#.##...#.....##.#..#####.###.##.#.##.##.......####.#######...#...#..####...##....##.#..###.#.....##..####.###..#.#.....####..#.####.#.##....#.#.##.#...#####.###..##..#.#####...##..##..##.#.#.##...#####..#.#.#.##.#.##...#.#.##....##..##.##
#.#.#.......#.#####.#.#...##.####..####.#.#.#.###.########..#....#.#...##.#.######.##.#..###...#..###.#######....#..##...........#.###.....##.#.#....#.##.#.#.#...#...#..#####.....#..####.##########.#....##.##############.##.#.#..#.####...#####.##.#.#####.##..#####...#..#..........#.###..#.##.#.#.#.#..#.#####.#.#..######.#####.##.##.##......###########.###..#.#.##.##.###.###...##.##.#######.##.##..##.##.#.####........##.#.#####.#####.#.#.#.....####.#.###....####....#.##..##.#.#.#.###.#..##..##..#......####....####...##.#....###.#..#.##.###.#...#
#...#######...#.......###....##.#.##....#.........#..##.#..####.#####.###.#..##.#####.##.##..#.#.##.#.....#.####...##..#.#.###.#...#...#.#.##.#.####.#.##.#.#.###...#.#.##...#####.##.#.#...##...##.#.###.#####....#.##.#.....#.#.##.#...#..###.##.............###...#...#.##.##########.#.#.####.#..###.#.##.....###.#.#.##.####.##.#..##..#.#..###.###.#..#.#...####.....##.....########....##..####.#....##.########.#.#######.####.#.##....#..##.#.#.####.##.#....######..#.####.#.#..##....#.#.....#.####.###.#####.###.####...####.#..#.##.....##....#.#...#.###
#.#..#...####.######.##.##.###..####.##...####.#####.#....##..###.###.#.....###.#.#.......####......#####......###..##############.##.##.#..................#..######.#..##.####..........#..##.##....#.......####........#.#...#.##.###.##..##.#..#.###.#.##.##...#.#####.......#.###.......####.######.######.#.....#.#.#..#.#...#.##..##.#.#####......##.....###.#####.###.###..##......######..##..####....##..##......##..#...##.....###.##.##..#.#..#...##.##.#........##..###...##.###.###.##.##.#..##..#...##....#.#.##.###..##..##....#.#####..########.#...#
#.##.###.#.##.#..............##.##.#####.##....###.#...#.####.##...#..###.#..#..#.####.####.##.####..#.#..#.##...#.##.#.#.#...#.......#####.###.##.#.######.#.##......#.###.#..#######.##.##.....####.####.####....####.#######......#...###..#.####################....########.......###.#....####...#####..#####.#.#...#.##.##.##.###.#..#..#..######..###.####..........#####.#######.##..####..##....####.##.#####.##..##.###..##.####.#..#.###...##.###.##....########.##.##.###.##.#.#..##.####..##..##...#######.#.#.##.###.####.#..########...##..##.#..#.###
###.........#########.####.####.##...#.#####.###.#.#######.#..#..#...#######.#.##...##.##.#....#..##.#.#########....#.#...###...#.#####.#.###...#######..#.....######.#.#.#.#.##..############.#..##..##.#..#.######.....#.#.#######...#..###....##....########.#.####.##.#.######.#.#.########.##.###..##.#.########.#.#.#.#..##..#.#...##.##.##.##.#.##.#.####.#########.###....#.#.....###..#.##.##.##..##..##..##....####....##.#.....#.#.##.#.###.##.##...######.#.###...#..#.#...##...##......###....###.#..##.#.....#.##.#...####.##.##.##..##.##..##..#.##.#.#
####.######....#......##....##.....###.....###......#.##...##.##.##.##...###.#.####.......##.#.##......#..##.######.#.###.#.###.#.##......#######.#.#.##...##.##.##.#.#.#.#.#..##.#..##.###.#####..##......##.##...##.#.##...........#.##..###.#######.#.#.##......#...........###.#####.###....##.#.#.##.....#.#..#....#...#.###.##.###.#..#..#..##........##....#........#.#.##...###.#...##.#.##..#####..##..#.######..####.####.##.####...##.#.#.#..#.##.#..##.#....#.###.##.#.###.##.###..######.##.#...###.##..#####...##.###..##..#..##..##.##.##.##..##..#.#.#
#.##.#......##...##.#..###.##..#.#...#.###..#######.#.####.#...#########..#.....#.####.#.#############.#.##..#.#................###..####...#.###.#.#.#######.##.#......#.#.#.##..##.#........#.##.#####.#.......######..####.#.##.###..##......##..........######.#####.##.##.....#.....#.####.##.....######...##...#.##.#...#.#..#.##..##.##.##..#.######.#####.########.#.#####.##.####.##.....#.###....####....##..##.#.#...##.......####.##.#...##.#.#####......##...#...##...#.#..#.#.#.##..##...####.###...##.#..####..#...##..##.#.##..##..##..#..##..##.#.#.#
#.#..##.##.##..#.##.#.##...########.####.##..............#.###.###.#.####.#####.#.###..###..#.##.........###.....####.####.#.##.##..##....#....................#.######...#.#.#..##..#.###.##......#.###########...#..####.####.#..##..##..#.#.###.#.#.#.##.#.#.#...#.##.##..##.##.#####.........#####........#....#.#.#..###.#.##.#..##....#...#.##.#........#.#.##..........#.##.#..###..####.#.#...####.##.###.####......##.#######.###.#..##.#.###.....##.###########.###.####...##.#.#.#.##.##..#..##....##.##..##..#.#.##.#####.##...##.####.###.#.###.##..#...#
#...##...###..##.#..########.........##..##.##.#########....##.#........#..##.......##..###.#.##########..#####.########.##########..####.###.#####.#.###.#.##..........#.#.#.##.###.########.####......#.########.#.####....#################.#.#########......###.......####...###.....######.##..###.###.#.#.#.#########...#.##.#.##..##...#....####.#.#.#......###.######.#.#....##.##.#..#.#...###....#..#.#..#.######....######...#..##.......###.####........#.##...##..#####.##.#.........#####..##.####.###.###.#.#.##..##....#.####.#.##..##.#.##..###.#.###
#.#..#######.##..##.#..#.##########.###.#####..#.......##.###....######.##.########....##...#.#.##.....##.#..##.#...#.....#.........###...#########.###...#.##########.##.....##...#.##...#.#.#....####.#.............#.####...#.##.#.##.###...#..#.#.#..####.#..#..##.##..#######...#.#.#..#...###......##.#.#####.##......#.........############..#.########.#.#..####.##...#.##.###.......######...####.##...##......##..##..##..###.#.##..#######...##.###.#.##.#.#..#..##.#.##.......#####.###.#.##.##.#..#.#.#.......#.###..####....##.....#.##.....##.#.#.#.#.#
#.#.####......########.....##.#.#.......#.############.....###.###.......#.#....#.####..###......#####....#.#######.###.#...###.#####.#####.##......##..#####......##########..###.#.####.#.##########..#.#.###.#.#.#....#.###...........#.###.##.....#.##....##...##..###.#...#.#######.##...#..###.###.##.###......###########.####..##.......#..##.##.#.#...####.#.#.....#...##...#.####.##.#.#..###.....###..###.##..#####.###.##.#...###.#...#.###.##...######.#.#####..#.#.##.##.#.##......##.#.#..##.#.##.#.#######.......##.#..######.####.##.#####..#.......#
#####....#.#.##...##.##.##........#.###.#.#.#.##.#.#######.......##.#.##...####.#.##.#.##.#.####.##.#..##.....##.##..############..............##.####.##.....#.##.#.#..##....##.#.#..###....#.###...##.#####.#######.##.#.#.#.#########...#.#.#..#.#......######.###.##.#####...........####.##.....##...####..####.###..##.######...#########.#.##.........######.#.#####.#.#....######...##.#.#.##.####.##...##.#..######.#.#.#.##.###..##.#.###..##..###...##.#...###.##...#.#####.#########.##...##.##.#.##...#.###...#####.##.##.##.##....##......#.##.#.#####.#
##.###.##########.#..######.#.#.#.#####...#.#.........########.###########.##.............###....##.#######.#.......##.#.##.......#.######.#.#.##.###..#####.####....##..####.##.#.#.##.####.#...###....##.#...#.#....##...#.###..###....#.......##.###.#.##...####.####..##...#.##.######.#...##.#.####.####..##......##...........#..##.###.#.#.##############.#....#..######.##..#.#.###.##.....##..#.#..###....##..#.#............####..#.#.....####..###.##..###......###.#.#.#.####.#.#.#..#..###..##......#.#...###.#........##.##..#.######.#####.#........#.#
#......##.#.##.##.##.#.#.##.#####.###.###.#.#####.#.#....#..####.#.#.#.#....##.#.##.#####..#####..#.#.#.#...#######.#..#..###.#########.##.########...##..####....##..#.##....##.#.#.#..##...###.##..##.##.###.#.#########....###...####.#.##.#.##...#########.#.#..##.##..###########.......#.#..#..#.###....####.#.#....####.####.##.............###..##.###.#.####.##.#.########.#.#.#...######..#.##.#.##.##.###..##.#.##.#.###.###.###.....######.##..#..###...######.....#.#....#.#.....##.##..#..#####.####.###..##########.###..##....##..#.##.#..#.##########
##.##.##.....#...........####.....#..........#.##.######.##.#.#..........##....########.#.##.#.##.........#.#...#...##.##.#.###...##..#..####.##..#######..###.##..##....####........#.#####.#.#..####...........#####.#.####..####.#.######..#.#..#.#.#.##......##.....#.##..#.#......#.#.#.####.#.##...####...#######.#.##...###..#..#.#.#.####.##.#.###.#......#.........#.##..........#.....###......#.##......##.##.#..#####...##....##.#######.#....##.##.##.####.######.#.###.##...#.#.....##.#.##.##...#####.#.##.##.......##..##..######.#.##.##........#.###
############.###.#######.#.#..#.############.#....###.........#.######.#..##.####.........##...################.###.......#.####.####.##.##......##.###...##.#########.#..#.########.#.#.#.......##.#..###.#####.#..........#.##....#.#......#########....####.#....###...##.##.##.#.#.#######....#..##.##..##.##.......#.#..###.##.##########....##...#.#.######.###.#.#.#......##.###.#.#####..#######.#.##.##.###..#..####..####.###.###........#.##.#..#.#..##.##...#.#.#....###.#########.##.#..#.##..#.###.##....##..#######.###.##.###.#.#.......#.########...#
#.#####.......######.......#######......##...####.#...#####.#...##.....##.#####...##.####.####.#...##..####..#......#.#.#...#.#...##......####.#..#...###....##.##.#...##....##........#.#######.#..####.####......#.######.#.###.#...########.#.########.##...##.#.#####.....#.############...##.####..###.####..###.#.########.######.#.#####.#.####.....####.#.#.########.#.#.#..##..#.#.....##.#.....#.####....##.##.##.##....#.#.#.##..####.#...####.##.#.##..####.......##......#.##.##..#..##.#.##.##.#.#.#####..#.###....#..##.#........######.##.######.#.###
#..##.####.##.#.##.###.###.#.##....####..###.#.#####.####...##.#####.#.#..#.#...#..######.#.##.#.#....##..##.##.#.#.#.#####.#.###..###.##########...#..#####.#.......#..####.###.##.##.#...#.....##.###..##.##########.##...#.#.#####.##...###.#.#.#.#..#..###..#####.#.#####.#.#.#.#.#..#...#..####.##.#.#.#.############.###.#.#.##.#.#..#..###....#####......#....#.#.#.#.#.####.#..######.#..#.#####.#.#..###.###.#..##..####........##....#.#.###.##.##....##...##############.###..#....###......##......#.#.##..##.#.####...##....########..#.................#
#.##...#.###.........###......#.#####...##......##.####...#.#..#.###.#.##.#.#########..........#.###.####.##.####.#.#.##....#.#.##......##....########.#.#.....##.#.######...#.#######.###.#####....#.##.##.#.##.##.....###.#.#..##....##.##...#.#.#.##.#.##...##.................#...##.#########.............#.#....###....#.....##...##.##.##..##.......#.##...##.........####...#.###.....##....#.##...#.##.#.##....##..##....######....#########......####..##.##..#..#.##.#....###.######.####.#....#.#.##.#.#..###.#.##.###....#####..#..##.##.#########.######
#..###.#...##.#.#.##.######.######..###.#######.......##.##.####.#.########......#....##.#####.#####.#.#...#.#.############........##.#..##.#..#.#.........###.#..#.#......#....##.#........#.#####.#.#..##.#.....#####.....#...#####.##..####.#.#.#.#.....#####..###.#.###.##.##...#......##.#....####.#.####.#.###.##.####.#.###..###.##.##....##..#.#.#.#.##.#.#..#.##.##.#....###.##..###..##.#....###...#.....###.####..######.##.###.###.###..#####.###.#.###..##.##...#..##.#..##.###.##.#..#.####.######.#.##.##..#.##.#####.####.##...##...#.#....##.#####..#
##...#.#.########.#..#.#.##.#.##.##.#...#.###...#.#.#....####.........##.#######.####.########.##......###.#.#..####.##.....###.#.######..####.#.######.##.##..##.########.#.##......##.###.#.#.#.....##.##.#####..#.######...###.#.#.#..##.##...#.#.###.#..#######.#.#.##..##.#######.#.#....####.#....####...#.##........#.###...##.#.##..#.########.#.###.#########.#...#.##.#.#....###############.#.###.#.#####.....###..##.##..#.##..#.#.#.##..##.#.##..#.#.#.###.####.#.######.##.#.#....#.######...#.##..#.##..##...##.#..#.....#..##.#####.#.#.#.##..###...##
#..#.....#..########.....##.#.##.#..###...#.##.##.#.##.###.###.##.###.................#.........#####.##.....##.#.#...##############.#.##..##......#....##..##..#####......################.......#.#....#.....###.#.#.###..###.#.....##.#...###.#.#..#####.#..#.#..############.###...#.###.##.####.##.#..#.#...#######.#....####......##.##.#...#.#######..#.#.#.#######.###..########.##.##..#####....#...#.#.#.##.####.##.#...##...###...#.#..##.#.....##.....#.##....#......###.....#.##.#...#.##.##.##.###......####.##..##.#####.#.###..#.#....#.####.##.#.#..#
#######.##.##.#.##.##.##....#.#..##...###.......#.#.#####......##..##.#.#.######.#.#.###.#.##.#.....#..#####....#.###............#.#...##.######.#.#######.####.#...######.###......#.##..##############.#####.#.#...#.#.##..##.####.##..###..##...##..##...##...##..#.##.##.###...###.#.#.......#########.#####.#.##....####.#.#######.#...#####.#...####..##...#.#.##.##...######..##..#..#..##.#.####.###.#.#.#....#..#.#..###.####.#.#.###.##..#.####.#####.###.#####.###.#.##.#####....#####.#.##....##...#####.##.#...##.....###....#.#.##.##.###..##.....#.####
#...#.#.#...#.#.#..####..##...##.####.#...##.##.###.#.....#.##.##.##########..##.#.#########..##.##...##.#.####.#.#.##.#.#####.#...###..#.#..#####..####.####.###.#..##.####.######....##.#..#............##.#.#.###.#.#.##.##...##...##.....####.##..#####..###....##.......#.###.#.###########....##.##...#.#.....##.###....#..#..#.....#..##.#.###..#.#.##..#.....##..#####.##.#.####.##.##.##...###........#.#.####.##.##.#.#........#..##.#..##..##..##.#..###.#.##....###.#....#.##.###.......#####.##.#####....#.#.#####.#.##.####......#.#..#.#.##..#####..###
###.......#.....#.##.###..###...........###..##.###.###############.##.#.#.##.#######.#.#..##########....#.##...#.#.########...###.#.##.#.#.##..#..##..#.###...#####......#.........#.##..##.##.#.#######.........#....#.....###.#..###..###.##....##.##.##.##.####..##.##.#...#.#.#...##.#.#.####.##...###...#.#.#....###.##.##.##.########.#....##..##.#########.#..##.##.#..#..#.#.##..#.#..#..#...########.#...#.##..#.#....#.#.####.#.##..##.##.##..###.##.#...#..####.##..##.#.#.##.#.#####.#.#..##....#.#.###.##....##.###.##.#.#..######...##.#.###..###..##.#
#.##########.##...#......##...#.##.#.#.####.#####.###.#..............#.#.#.#...##.##......#####.#.######.#..###.#.#.#.#.##.#.#.###......#.#.###.#.####.#.#.###.#...####.#...#.#.#.###.###.##.#########....###.###.####.#####.....##..#####...#####.#..##.#...#.#.###.##.#..#.#...#.#.###..#...#.#.....###.###.#.#.#.#.##.###.........#..#..#.####.###.#...##.##....####.....##.##.#...###.#.##.######..........##.##..##.#.####.########.#.#..##.....##.##...##.#.#...##....###..###......#..####.#.##.##.####.#..##..#.##.#...#...#.#.##....#####.##.#.#...##.##..#.#
#........#.######.#####.#####.#.##.#.#.##.#.#......#..#####.#.######.#.#.....#.......#.##.......#.#.##.#...##.#.#.#...#.#..#####...##.#......#....##.....#.#.#.#.####.####.##.######..........###......#.######........##....###..##.#.##..#..#.#....###.##.##...#.#.#####.#####......###.###...#####.#.#.###...#.#.###...##.###.###.##.##.#.##.....#.#.###...##.#..##..###.#.......###........#.##...##.#####.....##.##...##.#.##.#.......#.###.###.##..###.##.#####..####.#.#.#########...##..#.#............##..##.#..#####...#......#.####.###..#.#...#..#..##...#
########...###.#..#.######.#########.###....##.#.#.##..##...#.#..........##.######.############..........#........###.#.#.###.##########.#.#...##..##.##.#.#.#.#.#.#..##.#######.#.#########.##.###########.....##.###.##.#.##...##..#..#####.#.##.####..#..####.#...#.######..#.##.###.#.#...#...............###########.####...#............#####...#..##.#######..#####..####.##...####.###.#.#..#######....##.##...##.##..#.#..#######.#.#.####...##..#..##..#....##.#.......#.######.#..#.#######.##.#######.##..#.###..######.#.#....#.#.#.##.#.#.######.##..###
#........#.....##.#.#.#......##......#...##.#..#.#..##.########.#.#.#.#.######.######.##...#.###.##.##.########.#...#.#...#.#.#.#....#...#.#.#..##.#####.#.#.#.#.#.#.##..##.##.....#..........#........##.##########......######..##.#.##.##..#.#.....##.##..##..###....#.#.##.####.##......#.#######.#.#.#.#.##.#.##...#.#.#..#.###########.##.##..#...##...####.##..##...##########.##.#####.....####.....####.....###..###...##.#.........#..##..#..##.##.###.####.##.#.#.##.##.#....#.##....##......#..##.....###.#.#.##.#.##...####.#.#.#.#.##.#......#.#..##.#.#
##.#.##.###.##........###.##..###############.##.##......#..#######.###.#.##......#....###.......#..####........#.#...###...#.#.####...###.#.####....#.....#.#.#.....###....######.##########.#######.##..........#..#.##.#..####.##.#.##.###.#.###.###..#..####.#.####.#.#.##.##....#.###.##.#.......###.#.#.#....####.....#######..............######....#..##...##..##.##...#..........##.########.#.##.##....##.##.#.##.###..#.#########.#.##..##.##...#..##..#....#.######.##...#.##.#..##..#####.##########.#...#.#.##.#..#####....###.#.#.##.#.######.#.##....#
#..#.#..#...#..######......##.......#..##..##..#####.#.#...##.......##..#....##.#...##..##.#.#.####.#..###.##.#.#.#.#...##.##.#..###############..##.#####...#.#####...#.####...#..##.#.........##.....##.##.####.##########...#..#.....#.#.#.#.#.#...##...###.#.#..##.........####.#####...#######.#..##.#.######..###.###.#.#.##..######.####.##......#.###..##.##..##..####.##########.#..##.....#.########.###.....#.##.#.##.#..###.##...#..##.####..###.####.####.#..#.#....#####.##.######...#.#...###......#.#...#....#.##..#####..##.#.#.##.#.#..#.#.#..##.###
##########.###.###....#.#.####.####.##.##.##..##...#######.########..######.##..##.####..#####.######.##.#.##.#.#######.....#.#.##.#####.##.#..#####....####.#.##.#..#....##..#...###.#########.######.#######.##.#.##..##.###.##.####.##.......#.#.######.........##..#######..#....##...#.#..#....#######.###....##.####.......####.#..#####...##########...##...##..##.#.#..##.........##.######....#..#.#######.####.#....##.#.##.#.####.#.##...##..##...##....#.#.##.#.##.###.##...#####..###.#...###.######.#####.####....##..##.##.##.....##.....##.#.#.##....#
#...#......#...#...#.##.###....#........#.######.#..#.#.#...##.#.#..##....###..##..#..#.########.#.#.....######.##.#....#.#........#........##..##...##........##.#######.#######.#.#.##..#..........#.#.##.##....#..##.#.................##.##........###.#######..####.##.###.##.###########.######...#####.##.#..#.##.###.#.#...##.#.####.###..#..#.##...#..##.####..#.#...###.###.###.#...##..####.##...#.##.....#.#.####.#....##....#......##.##..#####..##.#......#.#.#..##...###..##.#.##.#...#..##....#.#..##...#.#####.#..##......#.#.#####.####....#..##.#.#
###.##############.#.##..##.######.##.#.....##.####.#.#.###.##.#.########..###..#####...##.#.#.......###..#.#####....#.##.#.######.########.###.#..#####.###.#.....##.#.#.#.##.#....#..##.#.#.#.##.#.....#..#####.##......##.#.#.#.##.##.#####..##.#####.###.###...##.##..#.#.#....#.##........##.#####...##...####..........#####.#.....#.#.#.##.##.#.#######.....#.##.#.##.##.#######.....#..##.##.#.####.#.######.#....##..####.#####.###.##.#...##...#.##..########.#.#.##.####..###.#..#.#..##.#####..####.##..#.#...#.###...########.#.###.#.#..####.###.##..#.#
#....#.####.###....#.#..##..#......########.##.##...#.#.#........##....###.....##.....#....#.####.##...##...#.##..###############........##.....#####.############.#.........#...##.#.##..#####.########.##..##......###.#####.############.#####...###...##.#.###....###.....####....########......#.##.#####.##...######.#.###.....#.#........#.#......#########.#.#....#.....##..######.###.......#.#.#....#.#....####..##......#.......####...####.###..##.####.#.....#.#..#.###.#.....##.##.#....##..##.#..##.######.#.#.###.#.#..##....##..#...##.##.#.#....####
#.##............#.##.#.########.#.##.#......#...###.......##.#.#..####..###.##.###########....###.##.######....####...#.##.#......#.#.##....#.#...#.#.#.#...#.#.##.####.####.##.###.#.##.##..####.#..##...##.##.######...##.##.#....###.##.....###.##.###.#..#.#.##.#..######..#.####.#..##.###.#.#.............######..######.###.#.####.#.###.#.####.###..##.#...#.####.##.####..##..#####.#######.#.#.####.#.####.##.##..#.#.##.#####.###....#..#.#...##.#..#.#..#####.#.##.#.#...#####.##....##.###..###.#.##...##.##.#.#.##..#.##..####..##...###.......#.##.#.##
#.###.###########.########.#....###....#.##.###.#.#####.#########..#.#.##....###.#.###.####.#......###......##..##..#........#.##.#######.#.#.#.#.....#.###.....##.#######.#.####.....##.###.#.##.##.###.##..#####..##.#..#.#####.#........#.#......#.#.....##...#####.#.#.###........#.##....#################..##..##.#...#....#####....#.#.....#.##.#.##.#..#.#............##..####...##...####.......##.#.#.##.........#######.##....#.####.####.#.###....##.##..#.#.....#.#.###..#.#...####.##.#.##.#.#.#..###.##....#.#..##.#.##.##.#..#####.....#.#####.####..#
#.#.#.#.............#.#.#....##.########.##........########.#.#.##...#....####..............#.#############..##..##.#######.##.##.#..#.##.###########.#.#.#####.......##...#.#..#####.#..............#.#..##..##.##..#.####.....#.####.#.#.####.#.#...#####..###.#.#.#.......#.#.####....###.###.##.##....#.#.##..##....###.###.##..###.#.#######.#.......#.##.######.####.##..##....##.#####.#....#####...........#.#####...#.#...#####.........#.#.#.#.####.##.###.#.#####.....####...##.##.##.##.#..#.#.....##.#..####.....##..#.##.##.##...##..#####...##..#.##.##
###.####.#.##.#.#.###.#...#.#####.###.....##.#.#.#...............###.#######.#.#.#.###############.#.###....####..####.#....##..####......#####............#.########.####...#.##.......##.####.####.#.##.#..##...##.####.#####...#....###...######.#...#...##.#.#.#.#######.######...##.....##......####........######.##......###...#####.......####.##.......#.############..##.###...##...###########.##.##.#.####.....###.###.#.....#######.#.#.#...###...#.#.#...#..#..##.##.####.##.#..##.##.#.##.#.###.#..#.##.####.#..##...#..#.....#####...#######..##.##..#
###.##.#####..#####...#######.......##.#####.#.######.######.#.#......#.#....########.####...##......#.####...###..##....##..#########.####.#.###.#.######.#....##.##.#.####....######.#############.#.##.##....#..#.##....#####.####.##...###.#.######.#.####.#.#.#.#...###.##.#.##.###.###.###.#.#....########.#.......###.##.#.###.##.###.####.#....##.#.#.#...........##...##..#.##.#####.##..#....#######..#..#####.#..#..#.#.#######.##......#.#.###.#.#.#...###.##.####...#.#.#..##.##.#.....#.##.#.#.####.#.#.......##..###.##.#####....##.###.###.##.#..##.##
#.#....######...#####.#.##.#..###.#..###..#..#.#..#...#......####.#.#.#.##.#.##.#........###....####.....######.##....#.#######.#.#########.#.#.#.###....#.####.#........#####.##.#######.#...##.............##.##....###.##..####.#####.#.##......#.##.#..##....#.#.###.#...##......#...#....##.#.####..........#.#####.##..#...........#.####.....#.##########.#.#.####..###..##.......##....##.####.#.##.#..#####.....##...##.#.#.##.##.#######.......#.###.#.###.......##..#.#...##.#.....#####.#.#.......#.#.#.#.#####..####.#.#..##.#..####..#.#.#.#.#....###.##
#.####.#.#.###.##..........##.#...##..###.#.#####.###.######.#....###....###..#.###.#.##.#.####.#######.##.###...########.##.#.....#.##.....#.#.####..##..........####.###..#.....#.....#.##.##..#.#.#.##.#.##..#..##.....##.##.#..#.#.#########.#........######......#..###.##.######.#.###.###.###....########.###.#...##.########.#.#....#.###.#####..........#########...##.#####.##....##....##......#.##.#.#.##########..#.#.#.##....#.#.....#######.##......#######.#####.###.##.####.###......#.#.#####.#...###.#.##..##....#.##....##.#..##.........####.#..#
#.#.#..........##.#.#.###.#######..##.......#.#....##.#......###.#####.#..###....######..#.#.####............###.#####.#.....####.##.#..###......#.#########.#.#.####..#.##.##.##...###.#....#####.#.#.#..#.##.##.####.##..#....##.#.#.##.##.#...##.#.#.#...#########.#.##.#.####.##########.#.####..#.###........##.###.##########..#.##.#...........###.#####.###.#......#..#..##.#######.#..##..######....###....##.#..#...##.#.#..####.#.###.#...##.##.#####.###.#..#..#.##.........###..#.####.#...#####.#.###..#.....##.####.##..####.##.##....#########.##.##.#
#...####.#.##.##..#####....#.#.#..####.###.##...##.######.#########....##..#####.#.#.###.....#.##.#########.##...#.....##.##.###..##.#######.###...####.#....#.###..##.#.....####.#####.###.##.#######.##.#..######.##.###.####......#....#....#.##.###.###.....#.#.#.#.##....##..#....###.#...###..####.########....#.#.#.#.#......###########.#.##.############...####.####...###.##..#...##.###......###.###..##..#.##.###.##.#.#.##.#.....####.###..##...#.#.#.#.##.##...#######.##.#.##.#.#.######..##.....####.####.##..#.#..###.##...##....####.##..##...#.##.#
###.#.#######..#####.#..##.#.#.##.##...##...###.#..#.#.#####........#.####.........#..######.#.#######.......###.#####.#..#....##.##.##...#####..#......###.#######.#....##.###.#.#............#.##....#####.##.##...#.#...#########.####.####.##############.#.....#.#..#.##..##.##.###.....###.####.#...###.....##...........##.#..#####.##...#.##.##.......#####.##...#....#...#..##...#.##..###.###..##.#.######...#...#.........##.#####.#.#..#.##.####..........#..###.#.##..#.#.........#.#..###.####.####.#..#.#...##.....##...###.##..######...#.##..#.#..#.#
#.#.#..###..####.##....##..#.#.######.########..##.....#.#.#######.##.#..##.#.####.##...........###..###.#.#.#....##...#######.##..#..###.#.##..##.##.#...###.#...#.#######.##..##############.#.##.####.#.#.##.#..#.#####......#.##.##....###.#...........#####.##...##.#####.##.##...#####.##..###....###...#.#.#..##.#.#.##..###.##.##...##.####..#..#.#.#........#.######.###...#####.#######.#####.##......##.###...#...#.#.###.#..###.#.#.##.#.##...###.#######.#.##.#.#.##.######.#.###.#.#.##.#....#..#.#.##.#.###..#####..#.###....##.###..##.##..####.#.##.#
#.....##.##.##.#..###.####.......##.###.####.#########.#....##.....#..##..###.##....####.##.###.#.##.#.#####.####..###.#.##.......##.##.#.#....#####..###..#..#.#......##....##.###.##...##......######....###....##.##.#..##.#.......####.#.###.#########...#.######.##.##.##.......####.##..##.#.####.#.##########..############..#..#..#.....####.######.##.##.##.####..#######.######.###.#.#..##....#.#.##.....#######.######...##.#.#.#....#....###..######............#.#...##....#####.#.#..#.##.###.##.#.#........##.....##..#####.##...##..#.###..##..#.#..#
#####.#..##.##.#.##.###.##.###.###...#.......#######...##.######.#.#.####.....#..##......#..#...#.#.....#.#..#####..........#.###.##......################.##.###.#.##..####....#.#.####..######..###...##..##.##.#.......###.#.##.##...#.....####.###.##..#..........#...#..#######.#.#..#..###.#.#....#.#.###..#...###.#.##.#..#####...###.#.##..###..##...######...#.##.#.##......##.###.#.#.##..###.#########.#...###.###.#.####.##.#.#.####.##.#.....##.##.############...###..#######....#.##.......#...#.#.########.######..#.##.#....###....##.....##..##.#.##
#.....##.##.##...#..##.....###.#.###.#.#.#.#.#..##.###..#..##.#########.########.##########.###...#####...##.#...##.#.#.#.#.###......#.##.......##.#.#.........########.#.#####.......#..##...##.##.##.###.#########.##.###...######..#...#.#..##....#.##############.###.##..#...##.#.##.#.###......##.#.#...##...###...#.#..##.#.#.###.#...#.#..###..####.####.#..#.#.#....#####.###...#..#......##....##.#..#..###.#...........##.#............####.####...#.##.##...##...###.##..##...####.#.#####.#.##.###.#.##.#.#....##.##.##..#.####.##..#.##..######.###.#..#
#####....#...###...######.##...#.#.#.#######.##......##.#.##...##.#.#.#.##.#.#.###.####.#...##..#..#.#..#......######.#.#####...##.#.#..#######....#.#####.###..##.........##########.##.###.##..#..####...##.##.#.#..######.####....####.####....##....###.###.#.#.#.#.#.###.##.##...........#.#.#.##......##########.#...##.##.#...#.##########.#.##.##.#.##...##.#.....#.##.##....###.##...####.#####..#.##.####.....####.####.#....#.#.######..##.....###...##..###.####.#.#..##.##.#..##......##..###...##.#........##.#......#.##..##..##.#####.##.###....#.#.##
##.#####.##.##...####...######.#.#...##.#.#..####.##.......###......#.#.........#.........#.#..###...##.#.#.##...#.#######.######..#.#######..####.#.#.########..#######.#...................###.##.#.####.#.........##...#####.##.#.#....#....##.#####.#.#...#................#..##########.##########.###.#.#.#.#..#####.##.#..###...##..##.......#...#.######.##.#.#.#.#....####.##.#.##.####.........##..#.#.######..###.#....####.#.#.###.###....#####.#.#####..##.#......##.#...####....##.#..##..###.###.####.#.###..###.#.##.##.##..##...##.#..#.#.####......#
#....##......###..#.###.##.#.....##.###.#.##..#.#####.###.##...##.#...#####.#.#...#####.#.#.########..#######..#.......##....###..#####.#..##...................##..#.####.##.#######.#.####........#.#.##.#########.####.#.#.#.####.##.####.#.####.......###.#####.###.######.#.##.###.#.#...####.######.#.........###.......##.#.###.###.########.###.#..##.#..########.####.#....##.#.#####.#########..#.##.#.#.##.####.######......#.###.#..#####.#..##...##..##..#.####.###..###..#.##.#.#####.#..##.....#.##.########.#####.##.#..###.####..#.#.##.#..##..###.##
####.#####.###...##..##.#....###.##.##.....##.#.##.####....##########.##....#######.#...#.###.#.#.###.##.#.########.##..####.#.##.##....##.###.####.##.##.#.#.#..##...#....#####......#.#....#.##.#........##.#.#.####......#.#.#.##.#####.###.#....#.#.#.#.#...#.############.#.##.#.#.#...###.#...#####.########.##.####.##...........#...##..........#.##..#.##..##.####.##.####.#....#.#.....#..##.##.#.##...#.##.##...##.#.#.#########....##.#.#...##..#####..##...#.#....##...##.#..#####.#.#.#.###.#####.#..##.#........##..#.##..##...##.##.#..#...##..##....#
##.#..##.....###..##.##.###.##.......#####...........#####..###.##.#..#..#####.##.....#.#.##................#.#.#.#####............####.##.#.####...#...#######.#####.##.###.#.###.##.#.####.#..####.#.###....#....######.#.#.....##.#.#.#.######.#######.#.###...##...#.....#.#.#........#..##.#.#..##.....#.###...#.##.##############.###..##########.#.###......##..#.#......#...##.###.#####.##.#.......####.#.##..###..#.#.#####.#.##..##....#.##.####.#####.#####...#.#.###.###....###.#......#......#.#..#.##..########..##...##.##..#.#..##.#.##.##########.##
#..#.#####.###...##...#.#.##########.##.#..#########..#.#..##...##.##.####......###.##########.#.#########.##.#.#.########.#########.......#.##...###.####...#....#.#..###.........##.#.###..#.####..###.####...##.#.##.###.####.#####.#...#.##.####.#.#........#....#...#.#.......#.##.####.#..#.##..##.##...#.###.#.#...#.######........##.##.............######.###...######.###.#...##....#.......###.###.#..#.#..##.##.#...###...#..####..##......#.#....##...##.###.###.##..#.##.###.....##.#...######.##....#.####..#.##.###.##..##.#####.##.#.#...#.##..##...#
##...#.#.....###.##.###...##.#.####.....#.##.##....##.....##..#........########.#.#.###..#.#...###.#####......#...#.##.#########...#######...####.##..##...#...##.....#######.###.##..###...##.#....##........####....#.##.........##....#.#.##..#.......#.#.#.##.#.##.###.##.####.#.#..###..#.######..######.........###........#######.##...#.#.#.###.##.##...#....###.#.#....#.#...#######.##.##.#.#...#.#.##.#.##.......###.#.###...##.#..###.####.#.#.####..###..#.#..#...##...##.##############..#.##...####.#..#.##.#.....##..##.##...##..##.....#....##.###.##
####.#.#####.#...#....###.##.#....#.##.#####..####..#####..###########.#..#####.#.###.##.#...#.#.........#.##...#..............###..##.....#..#######.####.##.#######......#...##.#..#####.######.#.####.###.##....##....#######.#.##.#.##...###.###########.#.#..#.#..##..#..##...######...##.#.##...###.####.######.##..######.##.##.#.###.##.##########..###...##..##.#.####.#...#..#####.....#..#####.....#..#..######.###..#..####.##.####...#.........##..##.##.#.##.##.#####.#....##..##.######.#..##.###.#.##.#.#....###.#..##...###..##.###.####.#####.#....#
#....#.......###...####...##.##.#...#..#.#.#.##..##....###..##.##.#.#....##...#....##....#.#######.#######..##.##.#.####.#####.#...####.#####.#..#.#..#....#..#..#....##.#...#.##.#####.####.##...###..###.###..#.######.#.#.#...###########..##..##.........#.##.#.##..##.#####.####.###.#....#.####.#.#.#.####.......#######.#.#.........#..####.##.##...##########.........#.######..##.##.#.######.######.##.##..##.##.#.##.#.##.##......####.####.####....###.#.....#.##.##....###.####.##.#.#.#....###.#.#...##.#.##.####..#.#####..##.##..#.#.#.####.....####.#
####.#######..###.###.###.#...########.#.#.#.##.######.....###......####..###.###.##..##.#.##.##.########..############..#...#.###.#.####.#.#.##.#.#.###.#.#####...#.#######.#..###...#..#...#########.##...#######..........###..##.#.#.....##..##..##.#.##.#..##############.####.#.....#.##....##..#.......##.#####.#.#.......#########.#.###.........#....##.#....#.##.##....#.#.##.##.#######......##.....#....##........#.#.##....####..#.####.####...#.##...###.#....#..####.##...##...#.#.#.###.##.#.#.##.##..#.#####.##.#....###.##..##.#.#....######.##....#
#.##.#.#...#.##.....#.#.....###..#.##.........#..#..######.#.####.#...###.#...#.#.##.###...#..............##.....#.#..######...##..#.#.#.........#.#########...###.#.#.##....########.##.###.#.###.....####.#.##..######.#.#...##.##.#.###.#..##.###.#..#.#..#.###.#.##.#.##...##.....##.########..##.######.######........#.#.#.............#.#.###.########.#....####.#...##.#.#.#.##.##.#.#.#.######..#####.####.###.#####.#.#..####.##.##....##...#.#####..###.#.######.##..##...##.#####.#.#...#.#.##.#.#..#..##.#.#.#......#.####....#.##..#.#.##...##....###.##
#....#.###....####.##.#####..###.#....#######.##...##.#......##.#####.......#.#.#.####...#####.##.###.#.#..###.#...#.##......#....##.#.####.##.#....###.#.####.#####.#.#..#.##..#.##...#..##.#.#.#####.#.#.......##......#.#.#.........######.#...##############.....#.......#..##.##.#..#.##.#...###.##..##.####...#################.###.##.#.##########.#.#.##.###..##########...#.#..##.....#.#....##.#.......#..#.######....#.##..###...####....#...#####.##.....##...#.##.###.#..#....##.#.##.##...##...##...##....#.######.#.#######......##.#.########.###....#
##.#.....###.##.....#.##....##.#.##.#######......#.##.####.###...#.###.##.###.#....##..##########.###.#.#.##...###....###########......#.##########..#..#.#.#.....####...##..##....###.#.##..#.#.##.##.#.##.###.########.#######.##.##.#.####.##.##.##.#.##.#.###.##.##.###.##.#########.#......#.....###.#...##..####...##.#.#.#########.#.....##.###.........###...###.##......#.#.##.######...##.#......##.##...##.###....##....##..##.#......#.##.#.......#####.#####...##.#.####.#.####....#..####.####.#..###..##.#.#.###.......##.#####.##....#.##.#....#..####
#..##.##.#....###.#...#####.##.#.##.#.......#.##.#....##...#.##.##..#######.....#########..#......#...#.########...#.###..........#.##...#.#.##..###.##.#.#.#####..#...#..########.#......##.#.#.##.#..#.####...#.##..#####.#.#######....#.#........##.#.#.....#####.####.###...#.##..########.###.##.....##.####.##.###............##....##.##.##.#.##.######...###.##.....#.####.......##..#.#######.###########.##.#.#.#.######..##.#########.#.#####.##.#..##.....#####.##.#..##..#..#.####.##.#.#...###.##.##..#####.#...#.##.####..#.#.#.#..##.#....####.##..#.#
##..###....##..#####.##.##...#...####.##.##.#.#..####..###.#.#..###.#.#..#####.##..##.#.##.##.#.###########...####.#.....###.##.#.######.#...##.##.#..#.....#...##...#.#.####.##.#.######.#.......#.##.#..#####......##.##.........#####.#...##.###.#..#.#####.#.#.#.#.#...####.#....##.#..#.#.##..##.###.##.#.#####.#.##.##.#.#.##....##..###..##.#.##.#......###...#####.####....#.###..##.#.##..#.###.###.#......#...######.#...##..#.#.##.######.#.#######..###.###.....#..##..##.#.##.#....#..#...###...##..##..#.##.##.#####....##.......#.######.###.#.....##.#
#####...#.####..#.....#.####.###.#.##.#..####.########.....#.#.##.#.....##.....##.##....#..#######.#.#.##.##.##.#..##.##..#####.#.#...##.##.##..#..##.###.#.#.#....#.#.###...........###....#.###.#.#..##....###.#.#..#..######.##.........#.##.###.#.##.#.#.....#.....##.##.##...##.##.##......####..#........#.#........######.###.#.########....#.#########...###...#...#.#######...##.#.....##.#..#....#.######.###..#.#.#.###.##.##.#....#.#.##.#.##..#.#.##.#.#.###.#...###.##....#..#.##.##.###.#.###.##.##..##..#.#...##...###########......##..#.#.####.##..#
#.#.###.#...###...#.#.#..##.........#.#.##.######...######..........#.#.######.##..####...##.#.#..............#.#########.#.....#####.......###.#.##...####.#.############.######.##.....#.##.#...#.#.##..####.######.#.##...######.##.##.#####.#.....##.#.##.##.#####..........#.##..#....##.#..#######.#.#.#.#.#####.#.##...####.#####.#.#..##.#...#.#.#.....#...###...###...#########....###.##.##.####.#.##.#...#.##.#.#.#.#...##.##.####.#...##.#.##.##....#.#.#.#.#.##.##....####.#.#####.##.#.#....##.#..##.##..##.###..##.##...#.#.....########...#.##....##.#
#.....#######.##.####...#########.########...##.##.##.##.#####.#.#.####.#.#.##.##.##..###.##.#.######.###.###.#.#.##.#.############.####.##........#.###.#..#####.#..###.#.#.......##.###########......##.#.##.#..#......###.#.#.####...######..#####.##.#.#####.#######.###.########.############.......#.###...##....#.#..#.......#.#....#.#####.#.......###.##.##...#.##..#.....###.###.##.#..#.#.........#..###....#.#.#.#.###.##.##.#.#..###..#...##.#####...#.#.#.####..####..##.....##.#.#....####..#.#.##..##.##..#.##.#..####.#.#####.#....#.###.#..###.##..#
#.###.##.##......##...####.#.###....###..###.......#.....###########.#..........#.##.##........#.#.##########......#...#.##.#............###.#####...#.#.##..##.#.#.##.#.####.####.#####....##.#######.##...#..##.######.#.#.#.#.#.#######.#.####.....#..#..##.#.#.....###.#.###.#.#...#.###.#.#.##############.##..##########.####.#.####.#..##...###.###.##..##....#.#.#########.#.#.#.###....##.#########.##.#.###.##.#...#.#.#.#..#......#####...###....#####.#.#.#..##..##.#..######.##....####.#####.....##.###.###...##.##..#.#.#.###.....##.#.......##.#.#..##
####......####.######.##.#.#.#.#.#.##.##...#######.#####.....##.#.##.##########...##.#####.#.#...........#..######.###.#..#.#####.###.##...###.....#......##.#.......#.#..#.###.####.#.####.#..#.#####.####.##.##.##...........#.....##.#......######.##.#.##..#.#####.......#.......#.........#..##...#.........#####..##...####...#.###....##..#.###########.#..#.####..###.##.......#.##..##....#.#.#......#.#.##.....###.#.#.#.##.######..#.##.#..#####.#.#.......#.####.##...###......###.#####.#..######.##..#...####.#..#..##.#.#...####.###########........###
##.######.#.#####......#.#.#.#.###.##..##.##.#.#....##.##.#.##............#.####.###....#######.#.#.####.##..###.......##.#.#.....#...#..###...###.###.#####.#######.....##..#..#.#.........##...............#.#.....#########...#.#..#.####.###.#.......#..##...###.#####.######.#.####.#####.#.#####.#########..##.##..###.##.#.#...#.####.#######.##..#.....##.#...##.##.#..###.###.#..########.#.#.######.....###.##..................###.#.#####.....#...##.##.#...##....###...#####.##...##....#.##.##......##.###.#..##.##.#..#.#.###.##.#..#.#.###..######...#
#...###.#...#.#.####.#...#.#.#..#...#.##..#......##....####....#.#.##.#.#.....#....#.##...#...###.###.......##...#####........###.##.###.##..#.#...#....#.#..#..########..##.##.#.#######.#..###.#.#.#.##.##.#.########.######.#.#.##........##..#######...##..#......##...##.....###.#####.......#.#...#..#.###.##..#..##.#.##.#####...........#.#...##.#####..##########..##.#.###.....##.#.#........#.#....#.#.....##.##.#.##.#.#.###.##.#....########.###.#########.#####..#..###.##...###..####.#.##....####..#.##....##...#.##.#.#..##.#..#.##...#.#####.#...###
##.##.#.###.#.#.#.######.#.#.##.###...###.###.######.#..##..##.##############.###.#######.###...###########.########.#####.#.######....####.##.########.#.##.#.##........###.##....#########.....#.########......#.#.........#.#############.##.##.##.##.#..#.#######....#..##.####....##.######.##.###.##........##.##.#....##.##.#####.#.#.##.....#.....##.#####.#.##.###.##.#.#####.#......####.#.#.....##.#####.#.#...###..#####.#........####.#..###.....#.#.##.#...##.##.##.##..####.#.#.##.#..#.#####.#####....###.#####.#.##...#.##..##.#..###.#.###...###.#.#
#.....#.#.#.#.#.#.#.##..........#.###.#.#..#####..#####....##..##.##.##..###..#...#.#.#.#.....####....###.......##.#..######.#..###.#.##....#..#.....#..........###.####.#.#....##.......#.#.#.#.#.#....###.#.##...###.#####.####.#....##....##.##.#...####.#####.#####.###.##########.#..##.###.#..##..#########.##.##.####.##.....###..#.#.#..###.#.###.....##.#...##.#.#.#......##########.##...#.##.#.##...#.#..#.##.##...##.....#.##.#.#........##.#####.#.#.##...#....##.##.##.##.#.........##.#..##.#.#...#.##......##...#..###.#....##....##...#.#.###.....#.#
#.###.#.............#..####.#.#...##......##.#.##.#.....##.##.###.....##.#.##...#...#.#.#####....##.#...#######.#....##....####.....###..###########.########.###...##.....###.##..#####.....########.###.########.#####......##..####..####.#...#.###.###..##.#.........####.#.....#..##.##.#.#.##..##.#.#.......#.............#.#.....##.#######..####..#.#....###.#..#.#.####.###..#.##.....###.######..##.##...####...###.##.#.#.#.##.#####.#.##..#...#.#.#.#.#######.#..#.#..#.....####.###.##....##..#.#.#.#.#..####..###.#.###..#.#######.##..###.#.#.#.###...#
###.....##.#.######...##....####.##..#.#.##..#....########..###.#####.#.....######.##....##.##.########.#.#...#.####.#..####....###..#######.##.#......####....##########.##.#########...#.#.#..#.##.......#.#.#...#...######..#.##.###.##.#...#.......#.##.##.####.##.###.##...###.##.....#.#....##.##.#.##.####...#.####.#.#.########..####.###..###.#.####.##..##.##.#...####.#.##......#.#.....##.....##...###.#.######...#..############...#####.###.......#.#.##..####...##.#.##.##..#.#....#.##.##.######.####.#####.#.#.#.#.#.##..##.##..##.###....#.######.##
#####.###..#.#......#.########.#.###.#######.####..###.....##...##.#....#.#..####..##.##.#..#...##.#..#.....#....###...##.##.##.##..##.....#..#.###.##......##..##.##.###.#...#.#.#..#####.####......#####.#.#.#.#...###.#....##........##...#########.#.##..#.###..######....#####..##.##.....##.......#.#############....#.#.#.#.#....###.#.....###..#.#.#..#..##..#....#.#.........##.#.#####.#..#.#.#.######...#..#.#...###.###.#.##.#....#####.#.#...##.##...#..##...##.#......######.####.#.####..#..##.#...##..#..##.#.#...#.#..##.##..#.##..#.####.#..##.....#
#.#####...#############.###...........##..##.##.#.##...#.######.#....#.#####......######.##.###..#.##.#####.####.#.##.##..####..##########.##....######.#####..##.......#.###.#.....####...#....#.#.###......#.#####.##..####..########..##.####..........##.#.#.##..###.#######....##..##.#.#.##.#####.#.#.#.....##..##.#.#.###.....##.#...###.###...####.##.##..##.###.##.##.##.##.#####..#.##.##########.######.##.....#######......#.#######........#..######.#.####.##..##.#.#...##...##.###.##.##.#.##....#..#####......#.###.#.##...##.#..##.#.##.#.#.######.##
#.#.#########.######.##.#.###.####.##..##.#..#..#.###.####..#.#...#.####.#.#####.##..##.....#.##.#.##...#.###.#....#...##....####.###.##.#..####.#.#.#####.###.########.#.#.#...###..#.########.#####.######.#.#####..##...###.#.##.#.##.#####.####.#.#.#..#.#.#.#####.#..####.####..#######.#.#..##....#...#####..#.##..#.#.##############.#.###...#..##...#####.#......##....##..#.#..#..##....#...#.##..........##.#.#.##...#..#.##...##.##.#####.#######.........#.#..#####.####.#####.##.##..........###.######.....##.#....##....###....##....#.#....#..##.#...#
#.#.#.....##.........#....##..#.....##.#..##.##.....#######...###.#.#......###.#....#######...##.#..###.#.##..####.##.###.####.##.....#....###.#...#.#..........##.###......#.#.#...##..#.##.#####.##.#...##.#.#.#.##.####.#..........##..##.#..###.#.####.#.....#.#.#.#.##.........##.##.##.###.######.#.#....###.#.###.###.#....###.###.....########.####.##.##.#.#.#.######.#..#####...####.#.###.#.####.#.#.##.##.###..###.##.#..###...........###.#.#.#########.....##.#.####.#...##...#.###.#######.....##.#.###.#########.##.####.#.########.#.##.#.#.##..#.###
#...####.##..##.#.##.####..##.##.##.#....##..#####.#####.####..#..####.#.#.#.....####.#.#####.##.#.##...#..##.#....##.##...##...#####.##.#.....###.#.##########........#.##.#######.###......#.##.....##.##..................#######.####....#.##.######.....#####.#.....########.#..#.#...########.#.#.######.#.....#.########.#.......#####.#.##.#...#.#...#.#....#.#.##.....##..#####.#######.#.....#.##.#.####.####...####....##########.##.##..#..#....#.#.#.##.#.#.......#.....######...#.####.#.####.####.#...#.##.#...##....##.#.#....##......####....##...###
#.####....#########.....##....##..###.##..##..###...#.#..#..##.#####.#####...#.#..##....#......#...####.##.##.####....####.####.####..##.#####.....#.##.........##.########.##.#.....#######...#..#.#.......#.#.#.#.##.#.###.###.#.#.#.###.#.......#.#.#####..#.##.###.#..##.#######.#.###.##...#........#.#...#####....##..#.#######.#.#.#.#.#.##.###.....###.####.#.###..###.##.##.##....##.#..#####...#######.###.#..#.#....#####.#.#......#..##.##.####........###.#######.#####.#.##...#.#.##...#.#.....#.#...#####..#.#..##.####...##.########.##.#####.#..###.#
#..#.####.#.#..#.#..#.####.#.###########.###.##.##.##.##.##..#.#.##...##...######..####...##.#.##.##.#...#......####.##.....##.....##..###########......##.##.#.##.##............#.#....##.#.#...##.####.#.######.############.....#....#######.##...#.#.####...##.######.##.....#.#.#.#.#..###.####.###.#.###..#####.#####....#.##.###.#.#.#.#.##.....###..##.##...#..###...#######....#.##....####.##.##.#......##.#########..##.......#.#.#####...#.#....#.##.#..####.##....##..#.#..##.####..###.#.#####.#.#.###.##..#####.....#.#.####.....##...##.#.###.##..##.#
##.#.#.##.#.##...####..#.#.###.###..##...#.#..#.#...#.#..###.....####..#####..#.##..#.#.#.####.##.#..###.##.##.##.#...####.####.######..##....#.###.###..###########..##.#.#.##.##.####......###.#####...#.##.....###.......##.###...####.#.########.#........###....####.######...........##.....#####.....###.#...#.#...##.#...#..#.....#.#......#####...##..#..#.##..##.#####.#.####.#..##.#.#.......##.####.###..#.#.##..##.########.#.#.#.#.#.#.....#.##.#####..##...####.###.....###.#.###..##.#..##........##.#..##.#.#.##.##....##..########.##.#......#.##..#
##.#.#.#.....##.##..##...####..#.#.#####.#.##.#.##.##.##.#.##.##..#.##.##..##.#.###...#####.......##.....####.....##.##.#..#.#..###..#.##..##...#.####..##...........##..###.#..##.#....#.#.##...#.....###.#####.##...##.##..#######.#.#......##.....######.#...##.###.#..#.#....##.#####.#######.#.#.#####..##.###...#.########.##.###.#.....######.#####.###...###########.#.#...#######.##.#######.#..#.#.##..###...#..##.##.#........#####...#####.#.#..###.#.##.###.##.##.#...#.#..#..#.#.#.##....######.######.##.##...#.#...####..##......##...#.######.#.###.#
#......###.#..#.##.##..###..##...#..##................##...######.........##........#..#.########.######..##..#.#....##.##.#.##...##.#.#..##..#....#.######.###.#.#.####.######..#.##.#.###..##.##.#.#.#...#......##########..##.#.......#.##.#####.####.#####.##......##.#.#########.....#.#.#.#.#...##.##.##..#####...#.#.##...##..######.#####.#.........####..##..##.##....###.....#.####.#..#######........##.#.#.#.###....#.#.#.#.########..####.#.#.##.........##..#.#..##.##.##...##...#.#..#.##.##...###.#.....#..######.##.###..#.######..###.##.##..#.#.#.#
#.####.#.####.......##...##..###.#.##..#####.##.#.#.#..#.###.#.#..#.#####.###.#.#.#.##.....#####....#.#..######.####.#...#...###.###.#.####..#####....###...##..#####..###.###..##.######...##..##.#.#.##.#########.###.#....###...##.#.#####.#.##..##.#..##.#..######.##.#.##..#.#######.......#.###........##.#.#...#.....##.#....##.#.######...##.#.####.#.#..####.##..####.#.#####.#.##.####.........#.####.##.#.#...#...##.#####.####.#...##..#...###.#########.####.#.##.#####.#..#..#.###.####.#..####.....#####.##...##...#..#.#.##.#..##..####.#..#..##.#.#.#
#.#..#...##.#######..###.##.##........####....#.#.####.#.#.#.#.######.........############.#.....##.....###.########.###...###...#.#.....#####.....##.....########.#..##.......#####.#.###.####.##.###.#..#...............##.##..#.#..###.#........##....###...###..#...#.#..##.#.#.#.#...#.###.#.#.###.##.#........#######..#####.##......#....#..######...#.####.....##.#....#..##...#.##.##.######.##.###.....#.#####.###.#####....##.....#####.#####...#..............#....#.#.#######.#.#.#..##..##..#.##.####.#......#.####.##...#.#..#.##..##....##...##..#.#.#
####.###....#...####......#..##.#.#.###....#.#######...#.#.#.#..#######.#.##.##.......##.#...#.########.....#.###........#...###.#.#####.......######.###.#..........############.#......#.##.#.####...#.##.#.#.##.#.#.#.##.....#####.#.....######..####...###...##.###.#.#.##..........#.###.....#.##..##.##.#.#.###....###.##....#######...##.##..##..###.#..######.###.####...#####....#.#...#......#########....#.##.#.###.#.###########.#.#.......##.#######.#.#####.###.##...##.##.#.#.#.##.###..##.......##..######.###.#..###.##.##...#..######.####..##.#...#
##...######.###.#.#..#.##...#######.###########..#...#.......#.##.#.#.#.#.###########....#########.#####.##...#...##.##.####.###.#.##.##.##.#.##......#...##.#.#.###...##.......#.######....#.###..##.###########..#.########.#....##########.##.##..##..#...##.###.#..........##.#.#############......##..#..#.#####.##.#.#..####.#.##..##.##..###..##.#...##...##.#.##...#...#....#..##.#.###.##.##.####.##....##...#..#..##.#..#.#...#........####.###.#.##.#######..#.#.#..###.##.#....#.#.##.....#########.###.#..##...##.##..#...#.#..#...##.##.#..##..##....#.#
#..#....###...#...#########.##..#####.##.##.#.##.#######.#.#...##.#...#.###.#.#.#.....##....#.#..........##.#.##.##..####........#.....#.##.#.#####.###.#.#..#.#######.#..#.#.#....#####.#.##..##.##..##..........####..#.#...#.#.##................########......#.###.#.##.#.#..######.##.#.##..##.#..###########.####...##.#.......##.##..##...##......#..##.##.....###.#####.##.####....##...#######....###.#####.##...##..##...###.###.#.#####.#.#.###.#...##.#.##.#.#.#.##.#.##.##.#......#####..##.....#.#.#.##.###.##...##.#.###.##.###.#..##.##..##.####.####
#####.#...###.##.##.##.........##..##.#........#.#.##.#######.##..###.#.#.......#.###..##.#.....##.#.##.#####.########.######.##.##.###########.######..#########........########.##.....#.#..##...##..############.###.....#.#.#.##.#########.##.#..####.###.#.#.......#.##.####.##...........#.##..##..##.........##...#......####.##...######.#######.###.#...#####.#.#..######.....####..##.###.##...##.###.#..#.....#..#.#####..#...#######......#.##..###........................###.##.#.......#####.#...#.#.....##.####.##.#.##..##..#####.##..#.###.#.##.####
#.....#.#........##..#########....##....######.#.#.#......#.#..##.....#####.###.######.#..##.##..########.......#.#.#......####...#....###.#.#..#....#####.####.####.##.##...........##.#####.####.#..##...#.#.##.......#.#######.####.........#..##..#.#.....#.##.##.#.#.##.##...###.#.#.##.#...#..####..###.#####.########.#.###.#.####..#.#.#..##.....##..###.........##.....#####.###.##.....#..######....####.########...#.#.##.##.##.#.#.#.####.#.###.#...#####.##.#.##.#.######.##..##.##.##.#..##.#####.#.####.##...###.#..#..##....##...#.###...##..#.#...#.#
#######.##.##.##....##.#.....####.##########.......##.#.#...#.####.##.#######...##..########.#..#####..########.#.#...#.##...#..#...####.#...##.##.#...#...#.#........####.############.##.....##..#.#####......############.#.####.#########.#######.....##.####..##.#.#.#######..##.######.######.##...#######..#...##...#.###.#....####.#...#########.###.....#.###.########.#.#.#.#.#..#####.#.##.#.###.#..#....###.#.###.#.#.#.....##.#.#.#####........#####.##..##.#.####.######.#####..##.####.##...##......#.#..##.##.....##.##..#.#####.#.#.###..##.#.##.##.#
#.......##.#..###.#....#####......#.#..#...#######..#######...#.####..#.#.#...###..##.#.##...##.#..#..##....###.#.###.######.##.###...##.###.#..##.###.###.....#.##.####.#####...........#####....#####.#####.#...##.###.##......#..........####......##.#####.###.#..###..##...##.#..##.#...##......#.###..##.##.###.####.####..###.##..#...###..#.......##########....##.##...........##.##......##.#..#####.####.#.......#.....###.#.........#....##.##.#####...##.##.#.#..###......#.#########.##.##.#..######...##.....#####.##.##.####.##......##..##....##..#.#
##.####.#####.#.#.##.#.....######.#.##.##.##....##.##..##.##.##.#.#..##.#.###.#.##.#.....#########.#.######........######.#..######.###...##.##..#.###.#####.###.####.....##.######.#.#.##.....##..##......######....#...####.##.###.##.###.##.#.#.##.##.##.##.....#.##...#####.####.##....#.##.###########.......#...#.##..##..##....##.#.#...##.###.#####.....#######.#..#####.#.#.##.....######.##.#.##.#.#.###....#.###.####.##...##.######.#########........#.....#####.##...####.#.#.#.##.#........####.#.####....#####.#....#.##..##..#######..##..####..##.#.#
####....#.#.###...##.####.##..###.#.#......##.###...##.......##.#.##..#.#........#.####.##.##.........##.########.##.##.#.##.#.##...#.##.##...#.####.#...##..##...#######...........##############.#######......####.###..#.####.#.###..#........#.##.#..##....##.#########........###..####..####.#.##...#######.###.#.#..####..####.##.#####....###.#.....###..#.#..#.#.##..############.##..#.#.#..#.##.......##.######..##.#..###########.#.##.##..##.########.##.##..##.##.#.#...........#.########..##....#.###.#..###..####....##..##..###.##.##..##.#..###...#
#.###.#.#.#.....#..#####.....##.......##.#......###.#####.##.##.#..##.#.########.#.##...#..########.#.....#.##....##.#..........##.##.##..###.#.#.#..###.##.#######.......###.#.######.#.#.#.###...#.#..#######.......###....#...#...#####.#############..##.#.####.#.#.########.####..##....##.......##.##..###...#......##.##.##.##.....#.#####...#########.#.##.##.#...###.#..###........##.#.#.##.#..####.##.#####.#.##..#.#.##..##.#.....#.#.....######.#.#...#...##.....#########.##.##....##..#.#.######.#.#.####...##.#....#.##..###.##....#.#..##..##.##..###
#...#####.############...#.#....###.#.##.#.##.#.#....##.###.....#.##....###.###.....###.##..##.##.#####.#....####.##.#######.##..#.##.###.#.#.#.#.##.##...###..###..#.############.............###.#.##.#.#.#.#######...##.#...#...###.#.########.##.###.#######..........#.#.....##..##..#.########.##...##.#.###...####.##.#..##....##.##..##.#.###..#.#......##.##.##.##.#.#.##.########........#..#.##.####....#......##......##..#.###.#...#####.#.##.......#.#.#.###.##..#.#.###..#######.####......#.#.#.....##.#.###..####.#####.#.#..####.....##..##..#..##.#
###.##.##.#.####.###.###.#.#.####...#..########.###.##...######....####.........#.#...#.#..##..#......#####.##.#...#.#.##.....##....#..##.#.#.........##.#####.#.##########.##.#.#####.#####.#.....#.#......#..###.####....#.#.#.#....................#..##.#.##########.##.#####.#..####.###...........#..#....###.##..#.##.##.####.##...#.##..#..###.#...##.#..#.#.....#..#.#.#..#........######...##....#.#..##.######....##.#####.#.#.#####.#..##...############.###....##.........##........##..##.#.....####.##....#.##..###.##.#..#.#.##..###.#####..##.#.##..#
#........................#.########.#####.#.##...#.....#.....###.#..##..#####.#######.#.##..##.#####.###.....#.###...#..#######..##...##....#####.#####..##........#.#.................#.#.#######.#.#.####.#.##.....###.###.#.#.##.########.######.#...###.................##.#....##########.#.#.###.###.#.##..######.#.#.....#.#######...###.#.##.#.#########.....###.#.##.#.##.###########...###.#####.#.####......#..####...#.#..#....#......##..#.#.#.##.#####.######.###.##.#.###########.#..##..#####..#....####...##.##...#..#.##....##.###..#.###.#..#.##.##
###.####.#######.#.#.###.#.#........#........###.#####.#####..#####..#####..#.#..#.#.....##.##..##.....#####.....###.#.##.#.##..####.######.#.#....##.##..###.##.#...#.####.#.##########...##.#........##........#.#.....#...#.#.##.##.....###########.##.###########.#.#.#....####.#.##.#...#############.#####...#........#.#....########..##...##...##.##.#.#.#####.#.#.##.#.##.##....#.#.##.##....#.#..#.#.###.#.#...##....#.#.##.####.######..####.#........#.###...####.##########.###.#.#.######.##.###.####......#.#..####.##....####..#.#.#.##.....##.#..#..#
#...##...##...########...#.########.##.####.##.#....####.###.##.#.##.#.#.##.####...####.##..###.######.#.#...###.....#......###.#.....#.#.....###.###..##..#########.####.################.#..######.######.#.##.####.##.##.##.#.#########.##.....##.####...#.....#.#####.####.######.##.###.##.#.#.....#...#.####.###.#.##.#####.##.##.#...###.#..###....#......#.......#.##.#.#..#####.#...##.#####...##......############.#.#....#.#.#..#.##.##...#..###.#.#.##..####.#.#..###...#....#.#.#...#.#.##.#...##....######.####.#.#...##.#..##..##.#.#.#####.##....##.##
######.#.####.#.#......#.#.###.......#.#.........##...#...................#..#.##.##.#...##.#...#.#.#......#.#...#.#...##.#...#######...###.#.....#.##.###..##..#.#...##..##.#...............##.#....#..##..#.#..##.#.##.#..######.#...##...####.##..##.###.###.#....#.#####...#..............#.....#.#...#...#.#...#..###..##.#......#.###.##..#######.#...############.#.##.#.##..##...###........###.#####.#...##.......########.#.#.##.......###.##...#####.##.##.#......##.###.####.#...###...#.######.####.##..##...#.#...##.######..##..#.#.#..##.#.#####.##..#
#..##..#.#........##.#.#####.####.##########.#.#.##.#...#.###.###.##.#.##.##.........###.#..###.#.#...#.##.#######.##.#####.#..#.#..#.#...#######.#..#.#.#.###.##.###.###......###.####.#.##....####.##.#..####.##....#######...#....#..###.#.##.##.###.##....######.....##..#...############.####.######.###...###...#######....#.##........##..#.#..####.######.#.###.....#.#.#..##..#.#.##.##.##.......##..##.#########.#####........#####.##..##..##.###........#.#####.###.#.#......#.#####.#....##.##..##...##.###.##.###......##.##..##.#.#.#.##.......#...##.#
##....########.##.#..#.#..........######.....#########.######.#...#..###.....###.###.#.#.##.........#.#.##.##.......####.#####.#.##...###.###.......##.#...#.#.##.........#.####...##...#.###.#..#.####.##...########..##..####.####.##...........#.##..###.#.####...#.#.##.####.#.....#.#.#...#.#####.####...#.....#.##.###..#########.####.#..##.#.#######....#.......###.#...##..##.#.#..####.########..#####.#.##.##.#.#.#.########.#.#####..##..##..#.########.#.#..#........####.#....##.######.##..##.####.##.#.#..#.###.#.####..#..##..#...#.#####.##.#.#.##.#
#######.#.#.....############.####.#..#.###.####....#.######...###.##.##..##.##...#........#######.#.#.#..###..#.##.##.....##...#.#..#..####.#######.#....###....#############.####..##.####.####....##.....#.#.#.#########..##..#.######.##.#####......##.#.###.#..#.#.#....#....###.#.......#...##.#...########.#######.....##.#.#.#####....##.##.#..#.#.#####...####.##.....#.###..###.#.##..###....#.#.##.##..#.#.........#.#.##.......#..###..##..##.#.#.#....#...##...######.##.#####.##..##..##.###....#.##.#....##.#.#.###...###.##.###...###..#.####..###.##.#
#.........####.###.##.##..####....##.......#....##......#...#..##.#...#.###.##.###.#.##.#....#....######.#...##.#########..###.#.####.##.##.###...#.##.###.####.#.#..#.###.#...####..######.#..##.#..##.#.####...#..##.#.#.####.#..##.#######.....####..#....##...#######.#.###.##...###########.##...#......#.#####...###.###............##.....#.#.##.#.......#.#############.#.##.##..#..##.######.#.#..#.###...#########......#######.##.#...####..#.#.#.####.##.##..###.#.......##.##.##.####......####......##.###....#.##..###........###.#.##...#.#..###..#..#
########.##....##........##....##.##.#####.#.#.###.#.##...###.######.####...#..###.###..#.##...##..##....##.#####..##.#...##.....#.##..#.#..#.###.#.#...##..#.#.#.##.#.#...###.#.######.#.#.##.##.##....#.#.####.##.#....#.#.#....##.......#####.###.##.####....#..##.#.#####...####.##...........##########....#....#......###.#.##.###.#####.#...#.##.###########..##.#..#.#..#.#..###.##.#.........#.##...#.###.#.##.##.##.#.#.........##.###..#.##...#.#.#.#..#..###.#...#######...........#.####.#..#...#.##....#...####.###.#.######.###.....##.#.#...##.##.#.##
#...........#.####.#.###.##########..#...###.#.#...#.##.#.#...##......###.###.##.###...##.#..#.##.###########.....##....#.######...#..##.##...#.#.#.###.###.#............#...#.#..##.#.............###.##.#..#........##.#...####....#.#.#.......#......##.###.##.##.....#.######..#######.#.####........######.####.######.#...#..#######.#...###.#.##.#..###.#.###.#..##...##.#.#.##......#########.#.####...###...##.#.....###########.##.###.##.#..#...#...##.##...#####..####...#.#.#.###.#......##...#########...###.#....#.#...##.#..#####.##..#####..#.#.....#
##.#######.#####.######...#.###.########.#########.#.#..#.##.##..#.#.##...#...#......#.#..##.#.#....###.#.##..#.#....##.#....#####.##.##..###.#.....#.#.#...#####.#.##.#####.#...###.#####.######.##...#####...#.##.####.###..#...##########.######.###......#######.###.....#####.###...#####.######.##....###..#######.######.#.##....##...#.#...#.##...##.#.#.#.#.##.#..#......#..####.#...##........#.####...##.##..#######......#.....#...#..#.######.###.#..##.#####.#.##..##.##.#.###.....#.##.##.#.#..#.#####.###..####.#.##.##..##.#.#....##..#.##.##.##.##.#
######.#...#.#.....##.###.#...#.#.#.#.#.....####...####.#.######.#.#.###.###.###.###.####..###.##.###.....#..#####.#######.###.#.........##.#.#####.#.#.#.###..##.###..##.##.###.....#..######.....###.#.....#.#######.....##.######..#.#.##.#......#...####.###.#.###.#####.........###.##.#...##.#######.##.##.#.###.#.#.#.##########....#######.#.####...............#########.#.##.######..########...#.#..#.....##.#...########.#####.###.##....##.##.#.#.##.##..##.#....##..###########################.#....#...#..##.#....##..##.##.#.##.####.##.#..##....####
#........#.#.####.##........#.......#.##.##..#...#.##.###.....####.###...#...##...######..##....#########...##..#####.#....#.#.###.####.##......#.#.......#.##..#########......#####.#.##.##...#####...####.####.......#.#..#.#.##.##........##.##.#######.....#...##..#...#########..##......#......##.#.....##.#.#.#.....#..###.....#######.##..........##.##########.###.#........#.#.##.#.####..#...#...#####.##....##.##..##..........#....###.##.........#...##.##.###.##..##.....##.#.###....###.#.#.#.####.###.##.#....#####.###.#..#.##..##...#.##..##.#....#
#.#.#.##.###..###.#################...######.##.####......#.###.########.##.###.#.#....####..#.##...#.##..####.##.#.....##.........##......##.#.....#.###.#.###..##..###..####..###....#...#########################.#.####...........#####.###..###.#.....###.###.###.###...###.##..####.#.####.#.#......#.#........#####...##...#.#.....#......##.#.#.#.##.##.##..........#.#.####...........#.##...#.#.#........####.....##....#.##.###.##.#..#..##########.##.##..##.#.#.###..###.#........##.###.#.#.#...#.#..##.....####..##...##..##.#.###.##.###.#..#####.####
#############.....#.....####......###.#.#.#......#############...........##.#...######.#.##.#######......###....#.####.##########.#######.##..#.#.#.#####.#..#..##..##.#####.##.#.####.###....#.......##...#.#...########.##.#.#.##.#.#..#####..##...##.#.##.............###.#.#..##.##.######.######.##.###########.##..###.############.#####.###.#.#.###..#.....#.#.####.######...#########.#.###############.####.#####.##.#.#######...#####.##.#.#........##.###..#.....#.#.##.#####.##.#..#.##........#.....#######.##...#####..#.##.....##..#.#.#.#.##.##...#.#
#..#.##.....#####.##.##....######...........#.####.###.....#.###.###.#.#.#..#.#.##..........##..#...#.##.#.####......###..........#........##.#.###.#.......##.##..##....#.#....#.##.......##...#.#.#....#.#.##.##.#####.....#.####.####..##.#######....#####.#.#.#.#.#.##.....##.....#.##.##..##...######.#.#.#..#.....##.#.#.#.#........#.#.####..#.#.######.#.#.#######...#.....####..........#..##...#.##.#..##.........########.##..#...##...#.#.#####.##..#..###.#####.#.#..#.##.########...#####.##.##.###.##....#..###..##.##.#.###.######.#.#.#...#...###.#.#
##....#####.####...#######..#.#.##.#.##.###.###......#####...#####...#####.##.#########.#.#####...#.###..#......####.##..###.####.##.##.#.###.#####.###.#.#.##.###..####.....##.#....#.##.####.#######.#.#...##.##...#.####.####......###..#.#.#.#...#.####.#####.#####..#####.######.#.#..##.##..#.....##.....##.####.###...#...########........#.######......###..##...###.##.#####...##.###.#...#####....#.#.###########..##.#.#...##.#.#..###.....#########.#.##.#..##.#...##.#.##..##......#.....###...###...#####...##...##..#....#.#..#.#.#.#.#.###.#.###.#.#.#
#####.###...#....#..#.#.###......#.#######....###.##.......#.....##############.........####....#######.####.####.....####...##....###..#.#...#.....#...###..#.#.##.#.########....#.##.#....####.#.#.###.###..#.####.#.#.##############.##.......###.#.#..........##.##.##.##....#.#......##.....###.##.######.............#.###..#.....##.##.##...##..###########.#####.....######.###..########.#########.#.###.####.#####........#..######...#####.#....#.##...##...##....####.#..##.###.##.#####.############..###..#..##.####.####...#.##.#.#.#.#.##..#...#...#.#
##......###...##.##.......######...#..##.##.#.#....###.##.#####.##..##.#..#..##.#.########.########...##########..###.#..###.#..#.#######.#######.#.#######.##.#.##.#.#.#.###..#.############........########...#.##.#....##.#.##..##.#..##.##.#..##.#.#.########.#........#####...####.#....##.######..#..#...#.####.##.###.#.##.#####.##.####..#####...#...###.####.####.#...##.#.######...#......##.#.......##.#....#.....##.#.####...###..#..#.##.####......#....#######.#.#..#.###.#.###..##.....#.###.#.####.#.#.###.....##...#####......#.#.#.#.###.###.#.#...#
#..##.#..####.###########........#.##.......########...#..##.....##.##.##...#######.####......#...###.##.#.##..#.##.....##...##.#.##.##...####.#..###............##.#.#.....####..###.##...#####.#.#...##.....#.#.#..##.#....#..##.##.##.#..#..##....######.......#.#.#.##..#.####.##.#############.###.##.#######....#####.................######..####.###.#.#.##.#......###..#.#.#.######.####.#..#.###.###.#..####.###.#########.##.##.#####......#.#######.##.#..##.###.#.##.#.#.#.#.##..####.##.........#.#.......######..###...##..#.##...#.#....##.##..####.##
##.#..##..##..#...........##.#.#.#.##.#.###..##..#.#.###.##..##.##...#.#..###.##.#.....######.###.#.........##.###..###..###.####.#...###.#....#.#####.#.##.##.#..#.#.#####..######.#..###.#.....#.#.#..#######.#.##.#######.##..#..#.#....##.###.#####.#.#.##.##.###.#####.........#..#.##.#.##.#.........##.#.###.#.#.#.####.####.#.#######..####.#.#..##.........####.#.####...................##........#####..###.###.#...#.##.....##.#..#######....#########.##.............#.#.#....##..#.######.###.#.....#.#####.#.###...##.####.######.....####..#..##.....#
#########.##########.#.##.##.#.#.#..#######.####.#.###########...###.#.##.#.#....#####............###.##.##.....###.#...##.###.##.##.##.#####.#####.######..##.##...#.......##......#.##...###.########.#..###..#.....##.#....##.##...#.##.#..#...#.........##..###...##.##.#.##.##.#.##..#...#..##.######.......######.#...#####.#######.####.#..#...##....####.##...##.###....##.##.#.#.#################.#.#.#.##.#.#.#####....#.###.##.#.##.##....##...........###.###.#.#.##...#...########.#...######.##.#.##.#........##.###...#.#.###.#####.###.##...######.##
#.##.##.....##.##..###.#..##.########.....#.#......##...#..##..#..##.#......#.##.......#.###.####..#######..#.#..######..#.###..#.#..#...#.#...##...#.#.#..########...#####..######....###..##.#..#.#.....##.##.####.###.####.##.####.#######.#.#.#.##.#.#.######...#.#..######..##...###.###...######.#.##.#.##..##.#..##.##.##..##.##.#.#.##.##.###..###.#########.##########.##.#..#.########.#.#...............#.#....#.##.#.#####...........######..##.##.##.##.####..########.###..#.#.##..#.#......########..##.####.##....###.#.###.#.#.###..#..####..##.#...#
#.#...#####.....##.##..#######..#.#.#####.#.###.##..###.#.##..###.#..####.#.#########.############.#.#..###.#.##...#....##.#.##.####.###.#.###.####...#.########....#####.#.##..#.###.##.##.#####.#.###.#............#.#..###.##..#.#.##..#.##########.###.#......#.#.##..##.#..##..#......####..#.#......#######..#.##.#..##..#.##..#..#.#.#...#..#..######....#.##.##.#..##...##.##.###........#.###.##.##.#.###.#...##......#..##...#########.#####..##..####..#..###..###.#.#.#.##..##.#..##.########..##.#.########....####.##.....##......#...##.##.#..##..##.##
#.##.##.....###.......##....###.#....#.#..########.##......####.#.##...##.####.#.#..#.#....##......#.##.#.########...##..#.#.#..##...#.#.#.#.#.#.####.....#.##...##.#........##....##.#..#...###..#..######.########.#.##.#.#.###.#.#..##.#...###......#####.####.#.#####......####.#.#.##......##.######.##.#..##....#.##.###....##.##...#.###.##.##..#...##.#.#.##.#..##.#..#######.####.#####.......#..####.#.....#.##.#######.######...............###.##.###.##.....##..........#.##..##.##.##..####.###.#.#.##.######.#.#...####.########.###.##.##.##.###.#...#
#..#..############.#.####.#.....##.#...##.###.##.#..###.##.#.#.....#.###...##....##.######.###.###.#.#..#.##.#.#####.###.#.#.##..###..............#.#####......#.#..########..#.##.##.##...###.##.##.#.##...##.................#..#.#.##..##.##.######...##..#....#.#..#######..#.#########.#.#......#.##.#..#.######.#.##.#.####..#....#...##..#..###.##.##..#....#.##......####.....#.#####..##.######.##....###.#.#.######.##.......####.#.#.#.#.####.###....###########.###.##.#....##.##.##....##....##....#.##.#..........#..###..#.#.###.#......##.#...##.#.###
##.#.##.#.##..#..#####..#######.######....#.#......##.####...#####.....#.#######.#...#.#.#..####...#.#.##.##.#.#.#####..........##.#####.#.#.#.##.........#.#.##.############.####.#...###..##.#.....#..#####..###.#.#########.##......##....##.#....#######.####.####.#.......##.##.#....######.###....#.##.#..##..............##.#.#.####.###.##.....##.########.#.#####.###..#######...#.##..#.#.......##.#.#...#.###.#.....#####.###.########.#####..######..##.###.#.#####.####.##..#.#...#.##..####.#####...##.#######.#.##.##...##.#.......###.##..##.##......#
#..#.#.....##.##.##.###.##.......##.###.#.....####.....#.###.##.######.#.##.#.#....#...#.#.##..###......#.#..#.#...##..########..#.#.....###.#..##.##########.##.#.............#.#.##.##.#.##..#####...##.....##########........######..####.##.####.###.#.#########...####.##.##....###.##..#.###.##.#......#.#########.##.###....#####.##.#.#.####.#.#..#.##.##.......#####..##..###..#....##.#####.########.#.#.#####.#.###.##.#...#....##.....##..#.##...###................#.....##...##.######..##..#.....###...###########.####.##.#########......##...####.###
##.#...#.####..#.##........#####........##.#.###...#.#....##.#............#.#.##.#####.#.#.#..########.##.##.#.###..####...#####.#.########..#######.##.##.#######.#.###.###.#..............##.#.#.##.#########..##.##...#.##.#........##.##.##.#.#....#.#..#....#.###.#.####..####.##....##..........######.#.#.##.#########.####.##.#...........####.#.##.#...####.##.#...##....##.#######.....#.####.#.####.#.#####.....#........#.###.#######.###.#.###.##.###.#.###.##.#.#.###.###..#.....##..##..##.####.##.##.##.....##.....#.#.....##.#..#####.#....###......#
##.#####.##.##.#.###.####.####.########.#..####..#.#.####......####.##.##.#.#..#.##........#.###...###..#.##.#.#.#.##....#.#........#.....##.##.#.##.#.....#..#..#########.###.#.#.#######.###.#...##.##.##..###.......############.##.......#....#.##...##.####.#.#.#.....#####.....###.#######.#.#.##.#.##...#.#.........#...#...#....#.######.##.#.....#.###...#...#####..##.###...##...####.##...#.....#.#######.##.#.#######.#.#.....#.###.###...#.#.#.#....##################.#...###.#.##..##..##........#..#.######.######...#.###.#....##..######.########.##
#....##...........####..###.........#.####.#..##.#####....##.###########..#.##.#######.#.#...#.###...##...#....#...#######.########...#.#....#.....#.###.#.#.##.##......#..###############.#.#.###.......###.#.####.####.....#.#..####.#.###.####.#####.###....#.#.#.##.##...######.##......###########...#..#...#########.#.#.###.##.#.###.#.........#.#.......#...#..##.#.##..#.##.#####.......###.##.##.#..#.##.#..#####.......#######........#..#.........######....#.#####.....#.#.#.###..##..##.#########.##.#..#.###.#.###..#...#.######.###..##.#...#.##..#..#
####....####.##.#..##..##...#######.#.##.####..####.####.#####.....##.###.#.##.###.#########...#...#.####.####.###.#.##.......#.#.##.###########.#...#####.......######.##.#.#..#..............#.#.#####.#.#....######...###.....###.######..#.##.##....#.####.......#######.#.#....#####.#....##.#.#.###.######.##.#.#.#..###........####....##.#.#.#####.####.#.####.......##.#.....##.#####.#......####.#.##.#..##.#..###.#.#.###.#.#########.#####.#.####.##.#.####.#.#.#.##.#.######.####.#..##.....#...........##.#.....#.######.#..##.##.#.##.##.##.##..##.#.##
#....##.#....##.##..##.#######.#.........##.##.##.#......##.####.#..........##.#......#......#...###...#.............###.##.#........##..........#.#.......#.#.#..##....##.#.##.##############.#.###.........##.#.##.########.##..#...##..##...#...#.##.#..#.######.##.#####...####...########....#.........#.............###..##.#.#####..##.##.#.#.#...###....####.##.##.#..#.####.##..#.#########.###......#.##....##.....######......#####.........####...##....###...#.#.######.#.#..#.#..##..#####.###########.#..###.#.#...#....#.###.#....#..##.....##.##.#..#
###.##..#.#.###..##.....##...#.##.#.###.##........####.#.#....####.##.###.#..#.######.########.#.#...#...#.###.#.###.#.#############..###.###########.##.#.#.####.#####.##....#...................#####.####.#....##.#.##...#####.###..##.####.#.######...##.##.........##.###.#.####.#..#...####...#.#.###.##.#.#.##.#.#..#..##..#.#...################.######.##....#######...#.....##.....###.....#.#####.##.#####....#.#.#......####.....####.###.###.#.#..##.#.#...#...#.#.#.#..#.##.#.##..#.##.#...............#.##.###.#.#.#.##....#..####.##.#####.##..##.#.##
#.###..##.#.#...####.##.####......###......###.##.##.########...########..##..........#.##.....#.#.#.#.#.###...#..##....#.##.........######...........#..#.####.#..........##.##.##.#.#.##.######..#..#.#..####.#.##.#..###..#.#...#..##.......#.#.##.###..#.######.###.#....#.#.#.#..##.##.##....#.#####......#.###..####...###.######.#.#.##.#######.#.#.#.#######.##...#####.#####..###.###.#####.........##.#..####.##.#.##.###.#....#.#......##..##..####..#.####.####...#.#.##...#....###.#.##.##########.#.##.#.#...#..###.#####.#...##.......#.#....##.#.....#
#.####.######.#.##.###...#.#############.#..####.....##.#.#####...##.#.#.####.#.##.##......##.##.############.#########....##.#.#.##.##...##.####.##.###.#.#....#######.####...######.#..######.##...#####..#.###..#.#.##.##.#.###.##.#..##.##...#.##.#.##.#.#...##.#...####...#.#.##........######.#####.#.#######..###.#.###.####..........#...#.#.......#...#.#.#..###..#....#..##.##.............#######.##.#.##.#####.########.####.#####.##.###..##..#.##.#..#.#..#####.#.#..###...##.....#.#.........#######....###.##..#...#..###.##########.#.####.##.#.#####
#.......##.######......#....#.#..##..#####.##....###.##.#.#..####....#.....##.#########.##.####..#..#......####.#.......#.##############.###########..######.##.....#####.#..###..###.##.#.........###.#.##...####..............##......#####..#...##....#.#.###..#.###..#####.#.#..###.###.#########.#...######..#####.....##.##.##########.###.#.#######.###...#.##.#.##.####.##....##################..........##..##.###...#....##...##....##..#######.#.#....##.####..#......##...#.##.#.#...##.#####.##.#..#####.#.#.###.###.##.#......#.###...#..##...........#
##.#.#####..##.############.#.#.####...##...####.#........##...#####.#.#.#######.....#######.###.##...#.##.#.##.####.#.##.##.#.#.#.####...#.#........##...#########.#..#....##.##.#.##########.###...#.#.##.###....#.#.#.#.####.#..#.##..#.#..####..####.....#.#.####.##.........##.#.#.#....#....##....#####..##..###..##.##......#...............#.#......####...#............##.##...####.##..##....######.##.##..##....###.#.#.##########.######.#.#.#.#...##....##.##.######....#.#..#######.####........##.#.##..............##.###.####...#.#...######.########
####.#...##.....................#.##.#..######...##.#.###..###.......###.###.#...###...........#####.####............###.........#.#.#..#...#.#####.##..#.#.#..##...##.####.##..#.#.###.##..#######.##.#.#..#.######.#####.##.....########.########..####.##......##...###.###.#......####.#...##....#.##.....###.##...###########.###############.....#.##.#.#..#...#.##.#.###.....###.......##..####.#.##.####.##.##..####.#...#.#.......#####.#.#.........#.#..##............##.#.#.##.##.##.....#########.........##.#####.###.....##..#.###.####.##.#.##...##.###
#.#..###....###.##.#.###.#.#.##......####.##.#############.#.#######.###.#...#####...#.#######..##.###.#####.####.#.##########.#.....######.....###.#####...##....#....#.....##...#...#..##.......#.##...##.#..###############.#.##....#....##.#.##.##.#########.#####.....##..######.##.###########.#.######.##...#####..##.##......#...#.##......#.#.#.#......####.########...#############..##.#....#.##.###..##.##.##.#..#.########.##..##...#.######.##.####..##.#.#.##.##....########.....###..##.##.#######.##.#..#.....##..###.##.##..##..#...##.#.#..####...#
#...##...#.##....################.##..##...#.#.#####.........#...#.#.#.####.##.....#.####.#.##.##........#...########..........####.###.....#.###.###.#####..#########.#####.####.###.##.########...###.###.#.##....##.#.###.#########.####.#.......##.#.#.##.....#.##########.#.......#.##..###.###.#.#.........#.##.###.##..####.#...#....########.######.###.##....##...##.#.###......#.###.##.####...##.#.##.##.##.##.##.####.#.#.#####.####...#.#....#....###..###.####.#..#.###...##..##.#####.#........#.#..#####.#####.#######.....##.###.###.##...##.#..#.###
###.#..#.######.##........#.#.##...##....#...#.#.##..##.#.##.###.#.#...##....#####.#####.....#.######.##...#.#........##.##########.#.#.##.#####.........###..............#...##..........##..##..#...........##.####......#.##.##.#.#.#..#.#.#####....#....#####.#.....###.######.###....##.........#.##.#.#.####.##.#.#..##.##.###.#.####.#.###....##...################....#.#...#.##..........##...#......##....##.#..##..#........#.#....####.#.########.##...##...#..########...#######..#.......#.####...##..##.###.#####.##....###.#...##.....####..#.#.##...#
##########..#...######.##........#.##.#.####...#.#..#######........##.#####.##...#####.##.##.#.#.####.##.#.#.##.##.############...#.....##.#.....#.#####...##.#.#.#.###.#.###.###.#######....##..####.##.##.#.....##..####...#.......#.##.#.#.#...####.####..#.##...###.#.#.#.##.########..##.########..#########.......##.##.#...##.#.#......#.##.#.#..#........####......#.##.##.####..###.##.#....#.#.#.##....##....##.###.#.###.##.....##........#.###....#..#.###.###.##.##.####.##......####.##.#####...#....##...............####.#.##.#######.#..##.#......###
#.###...###...#.#..##..#..#.#.##.######..##..#...####.##.###.#####.##..#.##..###..##.#.####............#.###########.#.##.....###...#.#########.####.....#....#.#########.......#######.####....##....##.#######.######.####.#######......#.#####.####.##.##.#..######....#.#.#...##....##....###......####.....#######.......###....######.#......#.##.########......#.##.#.##.#...######...#..###.##.###.##.#.####.#........###.#####.##.##.#.#.##.......#.##.####.###...............########....#...##...#.#.##########.#.##.#.####...........#.##.##.##.#.##.#####
#.#.###.....######..###############.##..########..##...#.#.######.....##.##.##.##..#.#.#.#..##.#.#.#.###.###...#.##.....###.#.....#.#..#####....#....###.##.#.#####.......#####..##........####..##.#..###.#.............##...##.....#.##....#.#.............##.##.#.##.#...#.###..####....#.##.#.#.#.###.#####.#.##..#######.....#.####.####.#.##.#######.......##.#.#.#..#.#..##.##.######.##.#....###....######.#####.##.#..##.##.....#.#..#######.#.##.#######...#########.#.#.#.#..#...#########.##..#.#.#..##........######.#....#.##.#.##.........##.#.##.....#
#.#..####.####.#.##.#.#.##.#.#.#.....####........##..#......#...#.#.#.##.#..##.###...#.#.##..#.#.#########.###......###.....##.##.#.##..##...##.#.##.###..###.#.....####.##..###..#####.##......##..#####....##.#.###.##.#..#..####.########...##.##.###.#.#.........######.#.####.#.#..#.##.#....######...##......##.###.##..#.###.#.........#.##...##....#.##.#######.##.#.##.#..#.........######.###########.....##.####.##.......##.##.##.####....######..##.###.#.##.#....########...###.#.#.#...###.#.###.##..#.######......#.#.##.#..#.##.#.#####.##....##.##.#
#.#.##.##.#...........#..........###......######....###.#.#.###...###..#.##......#.#........#######.##.##......############.####..#..#.#####..###.#..#.#.##...########.#####.....##.##..###.#.#..##.##.#..#.##..########...###.......##......#..#######..####.######.#.#.#....#.#......##.#..#.#.###.#.###.#..####.#.........##..#######.#.##.####.#######.#.#..##.#.#######.#####.#.####.#.##......#..######.#####.#.......#..##.##..#########.#..##.###.###..#.##....##.###.##....#...#.##........#..##.#..##.########.#######.######..##.#..######.#..#..#####..###
#.......#############.###.#.##.###...#.####..#####.##...###.##..######.#.#..#.##.#########.#####.....#.#..#.##.#............#....##.##...##..###..##.#...##.#####.##....#.#..#.#.......##...#.##.##.##...##.#..###.......#.##..#.##.####.######.....#...##..#######........##...####.#.#####.######..........##......##.##.####.##.......#.#...##....##....####.##.#.#.##.####.#.#.#.#....#..###.##.##................##.#.###.##.#######.#.#.....##..#.....##...#..##....#.#..####...###....##.##.##.##..####...###.....#.#.....#......#########.#.#.##.##..##.######
#######.##..#.##......#...#..####..#.#######.......####.##.....##......#.##.#.#...##.##.##.#.#.#####.....##.##.##.#.#.####.###.#..######..##.#...#######..###.....#..##.....#######.#.#######.##.#..#..#..###.##...##.#.########.#####.######.#####...#.###.........#.##.###..#......#..##...##.#...#.##.##.#####.##.#..##.##.#####.#.##.####.####.#.#..#.##....#....#..#.#.#....######.#.#.##...#######.####.#.##.#.##..###....###.......#.###.#..##.#.#.#....#...######.#.####.#######..#.###.#...###..##....###.#####.#.###.####.#.###.#..............##.##.......#
#....##..##....######.#########...#####......##.#.##.##.##.#.#.###.#.#....######.##........#...##....##.#####..########.....#####.###..##..########.#.###.##..###...####.##..##.###.####.###...####.##.##.#....##########.#.#.#...##...........##.###.###...##.##.#.#.#..#...##.####.##.###.##....#.#######.##....#..##.#..##..#.##.######....##.######.#####.#.#.##.##.#.#.####.##...###.########.......#....###..#.##.##...#.##...#.#.#.......#.#####.#.####.##.##.........##...####...####...#.#.####.#..##.#...##....#.#.####.######....#####.#.##.#.......#.##.##
####.##.######.#..###...######..#..##...##.#########.####..#.#.#...#.##.#...##.#.##.#.####.###....#.######.#..##........#.###.#.......##..###.#.#.#.....########..####.#.###.##......##......#...##.#..############.##.#........#.#..#.#.#.#.#.........##.######..######.###.#..##...##.#.############.#.....###.###.#..#.####...######.#####.##....#.####.########...........##..###.##..####.#...##.#.###.#.##..##.#...##.##.##.#######.#.#.#####.#######.....######.#####.##.#......###.##.#.#.#.#..#.##.####.#....##.....##...##.#.#.##.#.....#######.#.#.#####..#
#....#...#.#...##.#...###.#..#################.......#.###.#.#############.##.....#####......##.######.#.#.#.##..#.##.#.###...###.##.######...#.#.#####..##.##.#####.#....##.###.##.##..##.#.##.###.#.##.#.###.#.......########.#################.##.###..#...#####.......##########.##.#..#.#.#.##....########...##.##.###..###.#.##.#.#.###.##.##.#.##...#.#.###..#.#######.###.#....####.#....#.#..#.##..#.###.##.##.#####..#######.#..###.##.#..#.......###.##.....#........##.###.##.....#.#.#.##...##.#..######.#..###....#.........#####.#..##.....#.#...#.####
####.###...###.#....#..##...##.#....#....##..#######.....######.###.##.#.#....###.##.##.##.######.............##.#.#..#####.#......###.#..###.#.........###.#...##.....#.#####.#.##..##.####.#..#.#####........##.####..........##....#.#.#.......##...######....#..#.#####.#.###.##.#####..........##.#.#......#.##.#######..........#.#...####.#..#..###......#..#####........#.####........#.##.##.#####.#.#...#..#..##....##.#..#..##.#####..##...#.#.#######..#.#.##.#.#########...##.#.##.#.######..###.####....##.#...##.#######.#####...####..##.##.#.###.####
#....#####.#...###.##.#####....#.##.####.###..#.##.###.#..#.#...#....#.#...####.........#.....######.##.###.#.#..#.##.#.....#####.####...##.#.#######.#.......#....#.#.####.#....#..#####.####.##..#.####.#.##.....#########.##.#####.#.#.######.##..#.##...##.#...####............###...#.#.#####.##......#.####.####.##..#####.#.##.....####.####...##.##.#.#...##.##..#.##.#........##.#.#.#.##..####.##.#.#####.###..####.##.##...##..#..##.#####.#.#####.##################.##...######.##.###......##........#.##..#.########......##...#.##...##..####........#
#.##.........#..####...#....##.####.#.....###.#.#......##...###.####.#.###.##...#.##.#.##.#.###.#....##.##..#.######..#####.##.......##.##..#.......###.##########.#.####.#.###.##.##...........##...#.#########.###.####.##.##.#.......#.##..#...#########..####.##.#..#.#.#.###.######.#.####.#######.##.###....#.#...##.#.##..#..#####.#.#...#.###.#..####.###.#.....#####.###.#.#.#####.###..#.##.......###.....#...##.#####.#..#....###..........#.#.....#.#.#.#.#.............#...##....############..#.######.###.#.###.#....#########.#.####..##....##.##.####
#..##.###.#.###.#.####...##.##..#.#.#####.#.#.#...#.#######.##.....#.......##.#.#.#..#.#..####....#.#######.#.#......####...#..#.#.#.#..###...#.#.#.######.###.....#####........#..#..#.##.#.#.##..#....##.......##........############...###.##.##.#.#.#.##.##.####.#.#########...#.#...####.#.#.#.....#...##.#.##...#..#.#.#####.##.....#.##.##.#...##...####...#.#####.#.#####.#.#.##.#..##..##.####.#.#..####.#.##.###.#.....##.##.#.#...#.#.############.........####.#.#.#.#.####.##.##..##.......##.####.......######.....##.#.........###.##.##..##.##..#....#
#######...###.#.#......########...#.#.#.#.#.#.#####.#.##.......#.#...####.##..#.####.#.##.##...####.#.......###########...#.##.#.######.#.#########.#..#.......#.#.#.....##.#.#.#####.###..#.##########..###########.##.##.##.##..###.##.##.#....##.#................#####.#.#...#.....#..##..#...#####.##.#######..#.##........#########.#.##.##.###..###..###.#.####.......##...#.#.#....##..##..#.####.#.##....####.#.....###....##################.#.##...#.#####......#.###.#..###.##.#..###.#.#.#..#######.######.#.#####.#######.##.##.#......###..###..###.###
###.#...#.##......#.########.####.#.......#.#.#..####.###.#.##.#.######...##.##.##.#.#..#####.#####.#.##.##.#......##.#######..#.##.#.....#.##.#.#..##...#.#.#.#.#.#.#.###..#.###.....######.#..###.....##.#...###.#######.##.###.#...........####..#.#.#.#.#.######.##.#..#.########.###..##.###.##.##..#.#..#..##.######.####.#.#.#.##.....#.#..#.##.####.#.######.#######.#..#.#.#.##.#..#.###.##......#.##.#####...####.###..####...#.###.#.............#.#.#.....#.#.##.#...##.#...##.##.#.#.#####.###.#.#..#.........##.#...##.#######..####.#..##.##...##.....#
#...#.###.#####.#.#.#....##..#.#....#.###.....#.##.#..#.#.###..#.#......#..#.####....#.###....#.....#.##..#####.##.#...###.###.#.#....###.#.##.#.##.####.#####.####################.#.#..######.#.#####.##.###.#.#.#...##.........##.#.#.#.####.###.#########.#....#.#..##..............##..............#####.#.#####..######............#.#...##........#.....#.##....#.#.....##.#.######.####.######.####.####...###########..###...#.........##.###.####.#.#.###.#.#.#.##.###..####.########.#.#..#..##....#####.##.###......###.......#####..#.####...#######.##.#
###...#####.#.###.######.###...####.#########.#..#.##.#.###########.###.#.####.###.#.#.##..##.####.##.#######.####...#.........####.#.#..................##.....#.#.#.#..#.#.##.#...####.#.##.#................#.#.###....##.##.#....#.#####.........#.#......####...#.##########.#.#.#####.#####.##.##.#.#.......####....##..####.#.##.######.#########.###.#......##.....###.##.###........##........######.####.............##.#############.####....###.#.#..##.#.#.#.##.###.###.#..##......####.##.#####.#.#.####.#...######.#######...####....##..#.#.##.#...#.#
#...#.#........#..###....#.###.######....##...##......#.###.#.#.#...##..#...##...###.###..######....###.#.#....#...####.#.#######.#######.##.##.#.#.##.#.#..##.##.....##..........#.#....#.##.####.##.#.#.####.#.#.#.###.##..##.##.#.#####...#.###.#...####.#.######....##.##.###.###..##.###.....#..##...#######.#....##....##....####.##......#.###.##.#...##.###..##.#.##...#..###.####.#..######.#.#.......#...##.#.#.#.##.#................#.####.##...#.####..#.#.#.####...##....###.#.##..#............#.#....#####.#####..###.....#......#.###.##......##.####
##.###########...##.####.......#..###.##....#.#######.#.#.........#..##.##.##..#.......####......#####..#...##...#.#....#######.#.##......##.###########.####...###.#....####.#.#.######......#.###########......#.......###.###########.#####..####.###..#####......##.............####......#.#.##.#..###.##......#.###########.##.....##.#.#.......##.#####..##..#####..###.#.##.####...#.##.#.####.##.##.#.###..###.#####..##.#####.#.##.#.##.......##.#####.##.#.###.#.##.#..#.#.###..#..##...##.#.##.##...####.##.####...#.##.########.##.##.##...##.#.###.....#
#..#.#.###.##..#.##......#.###.#.##.######.##...#.#.......##.#.#.##.###..####.##.#.##.##....#.##.#...##.###..###.#.##.#.##...........#.##.#..#.#.#...#########.####.####.#....######.#.##.#.#..........#.#######.#####.###.###.#.###...........##.#...###.##.#..#.##.##.#.##.##.##.############.###..##.#....######.###.#.#.#.....##############.####..........####..##...##...#.#...#.##.##.##........#..####.....##...##....#####.....#.##.#..##.#.#.###.#.##.....#...###.#..##.#.#.##..#######.#######..##.#..............#....#..######...###...##.##..#.#.#######
##.#...#......##..##.#.#######.#.##.##.###.#..#.....#.###.#..#.#..###...####..#..#.#..###.#.#.#..###........##...#..###.##.######.##.###..#.##...###.#.##......##...#....##.####.#.#......#.##.#######.....#.#.......####...#..#.#.###.#####.#.#....#.....#....##.#..#..#..#######.##...........####.######.##.######.........#####...##.#.......########.#.#.###.##.##.#..#########.......#.#..###.#.#####.###.##.##.###..#####.#..#####.#..#.#######.#...#....###.#.#.#.....#######.##.##...#.###.#..#..########.###.#.#.#.####.##.#....#.######.##...##.#......##.#
######...#.#.##..#######...............#...##.##.#.##.#...##.#.#.######.#....###.####..##.#.#.##..####.###.#####.###############..######.##.##.#...#....##.#.#.########.###.#........#.##.######...#######.....#####.##.###.##.........#.....#.#.##.##.##.###.######.########..#.#.###.######.#.#.####.......#.#...########.###.....#..#.#########..#...#.#####......#######.##.##...##.#.####.###..####.##.....#..#######.#.....#######..#######...#..##.###.#.#...#.#.#.##.##........#..###.#.....##.#.##..#################.......####...#......##.#######.#.#....#
#.#.###.####..#.##.......####.##.#####...#######.#.##.##.##..#.#.#......##.#.##..#....##..###.#..##.##.#...##..#.####.##.##......##......##.######...##....#####..#.....##..####.#.#.###...#.####.##.......#.#.#...............###.#.###.#.#.#.#..###..#....####.##..####...##...###.#####....#.#.#.####.###.#.###.#.####...####.#####...#.##.#.###...#.....####.#.###.##........###.##.#..##..##..###...####.#.##.#.....######.##.......##.......#...#####.#######.########.##.#.##.#.####...#####....#####..#...#..##.#.#.#####.##......#.##.###.##....##...#.#.#.##
#.......##...#####################.#...#.#...##..#######..##.#####.#.#.##..#..##.####..##.##..#.##.....#.#####.###..........#.#.##..###.#####.#.######..##.######.#####..###################.#.......#####.###.#####.##.#.#.######.#.#...###.##############.##.#.#..##....#..#.#..##.#.....#.####.#...##.#...#.##.........#.#.######.###...#........#.##.#.##.#######.....#.##.#.....####.####.#..##...#......#.##.##.##...........###.#..##.####.######.#...#......##.###.###########.##...#...#.####.....##...#...##............#..##.#.#.##.##..#..#.####.##.#.####
#####.#.####..##.#.##...........#....#.#####..##...##..##..#.#.....#.#..##.#.##..##...#######.#######.##.##........######.#.#.#####.###.#.#......###...##..#.#.#........##......#.#.##.........#.##.##.....##..#.....##.#####......#####..#####.#.#.#.#.###......####..#.###...##..#.#####.###.##...#..#####...##.###.#######.#.#....##..#...##.#.###.##.#.#..#.#.#.#######.######.#..##..#..######..####.#####.#..####..#.#######.######.#####...#........#...####.#...#..###.........#..#####........#.#....#.###.###.#.####.##.####..###.##.##.###.#.#.#..#..#....#
#.....#.#....##..#.###.#.#.#.##...##.####.###.##.#####....##.#.###.#.##..#########..#.#.#######.......#..####.##.#.#......###.#.....#...#.####.#...###..##.#.....##############........#.#.#.#.#.#######.#.#########.#...#..#########.##.##.#.#...........######...###.####..#..##......####...#..####..#....#..########.#.#....####.###.##.#####...#########........##.....#......#.##..###.##.####.#....##########....#######....#..#.###.#.#####.#.#.##.##.##....###...##.#########.##.#.....#.#.#.###########....######.#..##.#....##...####..##..#...##.#.##.####
##.##.#.##.#..##....####.######.#.##.#............#####.#..###.#...#.##.##......#######...##.###.####.##..##..##.#.####.#..##.##.#.###.##.#.######.....######.#.####.....#.#########.###########.#.......###.###.....#.#...###...........#....###.####.##.....##.###.####.##.##.###.#.#..#####...###.##.#######..............##.#.....####..##....#####.#.#.##.#.#.#..##.##.###.##.###..##........#######.#...##.########.#.....#####.#.##........###.####.########.#####.#...##..###..#..####.######..####.##.#####...#.#....######.#..##.##.#..####.######.#..#.#.##
####..####.#.######...######....###..#.#.####.#.#..##...##...#.#.#.#.##..######.#.#######.....###########..##.##.#.#....############.###......#.#..##.##.###..#.##...#.#......##.......##.#.#.#########.##.....#.#.#.#.#.#.##..##.#.#.##.####..####....######....#.#..##......###...#.##.#.#.#.#.#.......#.###..##.#####.######...###...##.####.#.##...........#.#.##..###########..##.#####.##.#..##.....###.......###.....##.####........####.#######..#.#.#.###..#.......#..##...#.#####....#.##...##.#...........#...####.#.#....##.##.#....##.#...###.#.##.#....#
#....###.###.##.#####...##...#############....#.#.##..#..###.#############.###....#.#..#..##.##.#...######.############..###.#.##.#...#######.....#####......######.########.##..#.##.##.................#####.###.###.#.#..##.##.########....##.#######...#####.#.##.#..#.#.##...#.####.#.#...###.#.###.....#.#####.....#..#.##.##...#.....##..###..##.#.#.#.########..##.........#####.#.######.#####.#.#...#.#####.####.#####....#.###.####...##..###.###.#.#...###.##.#.##....######..######..###.#....#.##.##.#.#.#..##....##.####.##.####.#....#.....####.#.#.##
##.#.#...###.##.....###....#.####.###.#.###.#.#.#.######.#...##.#.#.##.##......##...##.##.#..#..###...##.###.##.#.#.######.#.#.#....#.........#.#.##.#######..###.####..........####...####.#.#.#####.##.###.#.....#...###.###.#..##...######.....#.#....#..............####..#.#.#####......#.##..#######.#...##.#####.###.......#####.#.###############.###.##..##.##.#####.##.#.##.#.....#.##..#.##..#.###.#.#.##...#.###.##..##.#.######.###.###.#.#.##..#...###.#########.##...##.#.##.#####.....##.#.#..######.#.##....##.##.#....##.##...##.####.#.####..###.##
#######.##.########.#.########..............###.#..#..####.###.......#..###########.##.#####.##...###.##..##....#.#.#.#..........##.##.########.#.##....#######.#.##.####.##.#.##....####...######....##.#.....##.##.#####.##..##.#..#.#.#....###.....##.#.#.#.#.######...##.####..##.###.#.##.##.##.......#.#.#...#.....###.###.##.....#...##.....##.....##...##.............#..####.#####.#.###...###########...###.##.###.#..#######.##........#....#..##.######...#.#..#.#..###.##..........#######..#.#.##......#..##.#.##.##.#.#######..###...##..#....##..##..#
#.##........#.#.#...#..#.##.##.#.##.######.##...##...##....########.##.##.##.##......#.#.#....#.###...##.######.#.....##.#.#.#.##########.......###..##.......#.#.#..####.#..#.#####.#....###..#.#.#.#######.#.#..##.##....##.##..#.##.....##..##.#.##########.###.########...##..##......#.##.#...####.##.#.#####.##.#.##.###...######.#.########....###.###.#######.#.####.##.##..............##.##.##.##.#####.....##.#.....##........########.####...###.#.##.###...##.....##....#######.##.#.#.....##.#.###############.##.########.#######..#.###.#.#.###.####.#
#.#..######.#...###.##...#...###.#..###....####.##.#..######...............#.#######...#.#.##...#.###.##.#.#......#.#.#..#######.....###..#####.########.#.##...#.##......##.###..############.....#.##.#.##.###.##...##################.#.#..#######...#.#....#............#.#..#####.##.#.#..##.###....#####........#.#......###.###..###........#.##...#...##......####.#.#..#####.##.##.###.....#.#.....#.###.#.#......#.#.########.##...#......####.....#.#..#.###....##.#####.##########......#.#.#..#.#...............##.#.#............##.#.#.#.###...#..##..#
#...##...#..###.....####.###.#...####.####..##...####.##.###.######.#.#.##....###....#...######..........#.#####.####.#####.#.###.##...#####..###.###.#########......##.#.#######.#.#.##.#..#..###.#.#.......##..##.#.#####.###.##.#.....####.##......#.....##.###.##.####.########....##.###.#####...#.###.#######.#######.##.###.....###..#.##.#.#..##.###.#####.##.#..#.####.#......############...#####.#.#...#.#.##.#.#####.#####.....#.##.##.##....###...##....##.#.#####.#...##.....##..##.#.#.####.#####.#.##.#.##.#.##.#.####.#.#.###....#...####..#.##.##.##
########.##.#.#####.#.#..##..#####.........##..#.##...#......#####..#####..####.########..#.#.##########.#..#######....##.......######.###.#.###..#...#.#.#.....#.#.#######.#............##...##...#########..##.##.###..............#.#.####.###.#.#.###.#######..##########.......##..#####.#..####.###.....##.#####.#.#######...#.#...######..#.#######.####.#..#####....#.########.##.###.#.....#...........#.#.#.####.##..........#.###....#.....##..####.#####.######..##.###....###....###.#.###....##.#..###########.#..#......###.#...##.#.#.##...##.##.##..#
#..#.#....#.#.#.....#...##..##.###########.###.#..#.#.########.....###.###.......####.###................#.##..##.##.#..#######....#.#.#.#.....##.###.....###.###.#.#....#....####.#.#.#....#####.##.........##...#######.#######.#.##.###.#...########...#.......##......#.#########..##.....##......#####.#.#............#...###.#.##.##......####...##..###..##..###..##...##.##.####........#.#.##.#.##.#.#.#######.#######.#.##.###..###.#####.#.##.##....#...#.#.#.###.#......#.##...##.#...#...##.####...##..##.......##.##.##.##...###.##.#.#..#.#.##..#.##.##
##.#.####...#.#####.###..##.##.#.##..........####.#.#.#........#####.......###.#..........##.######.#.##...##.##..####.##...#...##.........#.#......#####.#######.######...##.##...#######.####...##########..##.####.##########..#######....#.#.....############.####.##.#.#.##.#.#..##..##.#######.##.#.###...#.########.##.###..#..###..##.#.#.####..##.#.##....##...#####.......#.#######.###.#.#..####.#.####..............#.#..###.##.#.##....#.########...#.#.#.#.#.....#.#.##..###.#..#.#.#.######....#.###....###.#..###..##.########.#..#.#.##.#..##.###...#
#..#.##.###.#.#.#.....##............#####.#.##....#.#.####.#.####.#####.##.##..#.##.#.#.#.#..#..#.###.####.##.#..##.#..####.#.#..##.#.###.#####.#.#..........#.....#.#...######..#.##...#..#..##.##...#......##..##..............##.......#.##.###.#...........##.#.#..#....#.#......#########..##.####.#.##..#.#.###...#.........##.#####..#####.#.###.#....#..##.#..#.#..#..#.###...#.#.....##..####.##...#####..#.#.#.#####.#####.#...#.....##.#.###.#....##.##.........#.#.#.#.#..###..#.####.#.#######.#.#.#...####...##.######..#...##...#.##.#..###.##..##..###
##...#............#.#.###.##.##.##.##.....#.##.#.##.#.##...###......#.#.##..##.#.#..#.#########.#.#####....##.##.##.##..##..#.###############...######.###.#...##.##...####.#...##.####.#####....####.#####.##..######.###.##.##.########################.####....#...#####...##.#.#..##.#.####.....##.....##.#.###.###.##.##.###.##.##....##.............##...######.#.##...####...#.....##.##..##....#..#.#.....########.....#...####.#####.##..#.##..###.########.##.##.#.########...##.###.#..###.##....###.##########..###.#.#######.#..#.###..#.##....##..##.###
####...#.##.##.#.####.#...##.##.#...##.####..#####..#.#############.#.#..##.#..#.##.####.#.##.#.#.#.##..##..#....##....####.#.#..........#.#..###.......####.#.##..###.##.....#..#.#......#.#.##.#...........##.#.##.#############....#..#.#.###..#.#...###....#.###.###....#....###.##..#.#.######....###....#.#..........##.###.######.#..###.###.#########.##......#.####..##..#.##.##.##..##.#..##.##.###.###..##.##...##.####.##....##....##.#####..........###.#..##.#.##.......#######..##.##...####...######.......##.....#.##......##...#.##.####.####.##...#
#....#.#..#.#..#.#......#.##.##.##.########.###....####.#...............#############................######...##..####...##.############...##.#...#.#####....#.##.##...###.#.###.########.#.#######.##.#.########....##..#...#.######.##...#.#.##.....#.##..##.###.....###.###.####..###.....#.#.#####.###.#.##.#######.##.##.#....##..###.##...#.....##.......#####.##.#....####.####.#..##.###.##..#######..#...##...########.......##.#######..###.#####.####.....#.##..#..##.#.##.##....##.#######.#..#.#.###....#.##.####.##.#.#######.###.##..#.#......######.##
######.#.##.##.######.#.####.#...#.#..#.....#...####.#..#####.#######.#.##.#.##.##.############.####.###....#####......#.##..#.##.##.#...#..##########....##.#.####..###.###.#...##.#........#.###..#..######.######..##.###.#...........#...#..#.##.##....##..####.##.#.####..##.#.##.##.##.......#...#...####.#........###..##.#.###......#.#.#.#.#########.##......#####.##.....##..##.#....####.##.......#########.##....####.###..###.......##...###########.##.#..##.#.#######..#..##....#.##......##.###.###########....#....#.##.....####..##.#.#.##...##....#
###....#..######......#####..#.#.####...##.####.##...##.......#.......####.#........#.#.###.###.#....#.#######.#..#.####.###.#.#..#....####.###.##.#.##.#.#..###.###.##..#######.#....#.####.#.#.##.##.#..........###....#.#.#######.#######.#.#########.#..####.##..#.#..#.##.#....##.#..#..##.##...#.##.##....####.#.#..###..###...###.##.#.#########.......###.#.#.##.##..#######..##..#.#.##..############.###.#....#.####.#...########.######..#.............#..##.##.####.#....#######.#...#####.#..#####....##.#.###.##.#.##......#.#....#.#######.#..#..###.##
#.####.#.###.....####.#.....################.#######.########.##.#.#.###.#.########.............##.#.............######..#.#.#.##.#######........#......###.##....######.#.##############.........#########.#.###.....##.#.........####.#.##.#..##.##....####....#..##.##......##.###..##.####..##.#.#############.###.####...####.#.###.#..###.........#.##.##...#####.....##.......##..####.###..#..###..........####...##.#.##.##........#......###.###.#.#.#.###..#.##.##.....##..##.....#.#....#..##..##.#.##....#.#.#..#.#.#..#.##.###.##.#.......###.###...#.##
#......####..#.#.#....###.#..#####.#.#.#..##..###.#...#.#.....########...#.#.#.###..######.##.#.#####.##.#.#######.##.##...#......##.##.##.#.###.##.###.##..#####...##.#.#.#.#.#..####....#.##.##..##.#.....#.##..#.###....#.#####.##.....##.##.......##.#..####...#####..##.#.#######.######..#######..#...#####......##...#.#....###...##.##..###.#.#####...##.#####..#.#.####.#.#..##.#......##...##...#.#.#.##......#..........####.#########.######...###.#.#.##.###..####.#..##..##.#.#######...####.##.#######.......#######.#.#..##...#.##.#.#.##...##..#.#..#
###.##..#.##.############.####.#.......#.##..##.#.###.#.###.#.#.#.######...#.#.#.#####.....#..#.#.##..#..###..........####.######.#........#.#......#...#####.####.##....#.#.#.##.#..#############.##.###.#.#####.###...####.#........###.......##.#.##..##.#.##.#...####.#..#.#........###...##.##.###.##.##.....####.#..#.#.####.##..#.##.#..##...#.#..##########.#..##.#.#....####..####.########.##############.##.##.##.############.##.#.####.#.#..#.#...#.#......##..##..######.####.#.......###.......##.#######.#.####.##..#.##.#..#####..#.######.##.#####.#
#...#..##.#..#..##..###.###....#######....##..#.........#.#####....#.#####.#.#.#..##...######.#.#....##########.#.###.#....#####....#.####.###.#.########.###.#..#....##..........##.....#.#..............#####.######.##############.#...###.#.#..###..###......#.#.#..#.#.##.#######.##.###.#............#########...##.#.#####..##.##.####.#####.#.##....#.#.#.....##..#.#.#####...##..#######........#.#.#.##...#...#.#..#........##.........##.#...########.###.##.##.##..##..#.###.##########...#######.#..........#..##.....########.....##.#..##....##....##.#
######.#..#.###..##......#####.#####...##..##...##.#.##...##.#####...........#.#.########.....#.##.#.#......###.#.#...####.....######.####..########.##.....#.##.########.##.#.##....###.....#.##.###.#.#.#..........####..###...##.#######...####...##...##.#.#.#.####...#######..........#..###.##.#.#.#...#.###...#..#.#####...##..##..#####.....#####.#.......#.#..####.###.....#..##..#....########..........#.##.#####.##.#.###..######.##.#....###.##.....##..##.##.#######....##............####.#......#.####.#.#.#####.#.##.......#.#..#.#.####.#..#.####..#
#........####.##..##.###..##.......##.####..#############..#.#..####.#####.#......##.##...#.#.#########.###.#...#####......###.#.######....##.........#####.#.#...##.#....##.#.#..##.#...########.#...#.#####.#.####.##.##.#.###.#...##..#..#.##...#####.#####.#.#.##.###.##......######.#...##...##.###.###.......#.#.#####....#.##.##..##.##..#.#.###.#.##.#.#.##.##..##....############.####...#.##.############.##..##.########.##.##.#.####...##.#....##.#.####.##.##..##.....##..###.#.#.#.#.##.#....#.#.##.##...#.#.##....#..##.##.#.#.##.#.#....###.##....##.#
#.#.#.#.##.#...##.#######.####.#.#.#..##...##.##.###....##.#.##..#####.....#.####....######.#.#...#.#.#.#.....#.#...######.##...........#.####.#.####.......#.###......##..#####.###.###.####.#.#######.#.....#.##.#.#.....#.##....#..##...##..###....#####....#.###.......#.#.############.####.##..#########.#.#.###.....##.###.##.##.###.#..##.#.#.....#..###.##.#..#####.##....#.#.##...#####.#.#.......###.###.#..##..###.#.#..........##.#.#..####.#....#.#..###..#..#####.#.###.....#######.##...#.##.###..#..#.#.#..####.##..#.####.#..#.###.##.#....##.####.#
###.######.###.##.#............#.#...##..#.....#...####.#....###.#.####.#.######..##..#..########.#.#.####.#.##.###.######.######.##.#.##.#....####...##.##.......#.#.##..##.....##..###.#...........############......#.#...#..#.###..###..#.#########.#.##########.#.#.########..............#####.#..##.##..#.#.#...#########...#.#..#.....########.##.##.#...##.##.##....#####.#.#..###...........#####.#.....######..##.....##########.##...#.##....###.#####..######.....#####.#####.##......#..###.#..#...###.#.#.##.##....#.####....#.##...###..###.##...#.###
###..##...........#####.##.###.####.##..###.##.###.##...####.#.....#.#..###......####.##...##..........#.#.#..###............##...#..#..#####.##....#..#####.#.#.##.#.###.#..#.#####.#...##.#.##.###.#.#.#.#.###..##.#.#####.#.##..###.....####.........#.#.##.......#.###..#.#...###.############.####....#..##.#######..##.#.########.##.##.##.....#.#...####.###########.##.......##...##.########.##.##.####.###.####..#####.#.............#.#####.###......###....##..#####............##.###.##.##..##.###..##.#.#.##.####.##....###.##..#.########...##.#.....#
#...####.########.......#..#######...####.###...##.#..#....#.#####...#####..####.##.#.####..######.###.....############.#.#.##..#.##.##.####..#####.####.....###.#..#.#.####.#.#..#####.##########............#..##..#.#.......#..##.##.##..####.##.###........#.#.###.#...##.###############.##.#..#.####...######.#.###.##.#.#....##...###..######...#.#.##.#.##.##.##.###########.##.###############......#.....#.#.#..##.......#.#.##.#.##.####......###.##...##.#....#####..########.###..#....##########...#####.#.#..#.....##.#####.#..##.......####.##.#.#.###
##.########..##...#.#.#.##...##....#####...###.##....###.#......####.#.#.#####.####.....##.#####.#####.##.###.#.........#.#.#############.#..##.#########.##.#...##.#.#..#.###.##...#.###.#........####.##.##...#########.###.##.##......##.#....##.####.##.#.##.#####.###....................#..##........#..##...............####.######...##......#.#.#.#....#..........#..####.......##.#........#..####.#####.#.#.##.#######.##.#..###.##.#....#.#.###...#########.#.#...#.##.#......#########...#.#......#..##...#.#.###.#.##..#.....##..##.###.##....#..#.#...#
#..#.##.#.##....#.###.#####.##..#.##.....#........#############....#.#.#.#.#....#.##.##...........#....##.#...#####.###.#####.########.##.####.............####.##..####...########...#...######.###....##.#..#.#..##.#.###...#..###.##.##..#.#.#####....#..#.##.#......###.##.##############.##.#########.##.##.####.#.#.##.#..###..#.#.#########.#.########.#.#.########.##......#.#.#....########.#.####.......................#..####...##.##.#.#.#.#...#.##.##.#.#######.#.##.#####.##.#.......###...#.##.##..##.####.#...#..########..##.##..####..##.##.####.##
####.........##.#.#...##..#####.#..#.#.#.##.#.#######.#.#.#...####.....#.#...##....#######.##.###...##..#####.......#...##......#.##.#.##...########.##.#######.###..##..#...#......#...#..#.....#...##.##.##.####.......####.##.#...#..##.##.#.#.#...##.#.##############...#####................#.####....#...#####..###.#####.#.##.#.#.#.##......#.##...#.#.#.###.##.....#..##.##########..........###....##.#.##.##.##.##.###.##.##....#..#.##.###.#.#.#.####......###..#....#........#....#.#.#######.#.#..##.##....##.##.###.#...##...##...##....#.##...#...#####
#....#######.##.#.###..##.#.....#.###############.......#.##.##....#.#.....#.##.##..#.......###...###..##.....#####.#.#..####.#........##.#.#.#.#.##########.#..#...####.###...######.####...#.#.#.#..#..######....#####.......###.#.#.##########.##########.##.#.......##.##.#.#######.#.###.##......####.##.##.....######.##...........#.#####.#.###..#.....####.....#.#...##..#..#..###..##.###.#..#############.##.#######...##..##.####.####.#...#.#.#.##...####.#.##.##########.##.#.#.####.##......#.#####.#..#.##..##..####.#.#..#.###.##..######..#.#.#.....#
###.##.......###########....#.#.###.........###...#.###...##.###.###.#.###.#.#..###...##.#.##...#..##.####.####.....#.#.##....###.#.##....###.#.......##.......###.###...#...###......#..##.##.#.#.##.######.#########...####.##...#.####.#...###..###.##..#.##...#.#.#..####.#.#.#.#...####..#..####......#..#..#.#.#.......####.#####.##.#.#.#######.####.###....#.######.#######.#.##.#####..#####...#####.#.#.######.#...##.###.######.#..#.#####.###.#..#######.....#...###.###..#..#####.....##.#.#.#.#.....##.#..##.#..##....#...##..##.###...#.###.#.#.#.#####
#....###.#.#..##.##.###..##.#######.######.##...#########........#...#.#...#.####.###.##.#..###.#.###.#....########.#######.#######.#####..#..#####.###..#.##.##.....#.####.######.##.##....##.###.#..###.......#.##.######...#########.#.##.##.#.##...#..##....########.##.......#.######.#####.#..#.###.##.###.#.####.##.#...######....#.#.#.##.##.###.#########.#.####.#.#.#.#........#.#.####.#.##.##................#.#######..##.#.....##....#..######.#####.#####...#.........###.##.#..#.#.##.###.#####.#.##.####..##.##.#.###.####.##.#...#.....#.#.###.....#
###.##...#######......##.#..##.##.###.........#.#.........##.#.#.#.#.###.#.#.#........##.#####..#...########........##...##.#.......#.#.##.##........#..##.#...##.#.#####...#.......#########...##.##...#######.............###...........##.##...####.##..###.##..#.##...#####.#.#.#.###....#.####.....######.#.#.##...##.#.#........##...#....#.#...##.#.##......###.#....#.#.########.....###..........#.#.##########....##.#.####....#.#..####...##.##...#.....#####.#.##.#.#.#.##...##.##.#.#..###...#.....###.....#.##########......#..#.#.#.#.#.###.#.#...#.###
#...##.#.#..##.######.#######...#..########.#.#.#########.##.#.#.###.#####.####.#.#.#.##.##....###.##........#####.#####....###.#####.......########...##..##.##..#..##...####.#.#.###........#..########.#.....#.##.####.#..####.#######.......#.......##..######...#..#.......#.........##....#...#.###........#.#..#########.####.##..#...##.....#.........#######....##.#...#.##########.#.########.#############.##.##.#....#.#..#.##.##.###..#.##....#.##.##.......#..##############...#.###.######.###.#.#####.######.........###.#######.#.#.#..##.#.##.##...#
###########.....#.....#.####..#.#.##..###...#.#.#..........###.#..##.#.....##.#.#.###..####.#.##########.##.###....#.#############....##.##..........###..##...##.##.##.#.##.#######.###.#.#.##########.#.####.##.##.#....#.##....####....#.#.#.#.#.#.#....##.#..###.##.##.#.##.##.#.#.#.####.#...#.#...##.###.######.#...#.#.#####..##.##.#..#######.##########.##.##.#.#..#.#..................#......#..#.............#....##.....##.##.#..#...##.#..#.##.#..#..##.##.#####.#.#.#.#.....#...#...##.....#...###..#..###....#####.#.#.......###.#.#.##..#.#.#...##.##
####.##...#####.#####....#.####....##.#.###.########.##.#.##...#.##..#.#.#.##...#.##..##..#.###.#.#.#.#######...#.##.#.###.........##..#######.##.#.##...####.#############..........###.#####.###.##......###.##..####.#.#.##.#.##....##.#.#######.####.#..#.##......###..#..##########..#.#######.########....#.#.#####.#...###...##..####.##.......###..###.......###.##.####.##.#.#####.####.##.##.###.###.#.#.###.#.###.##..###.##..######.#.#..#.##..#########...#.#.............#.#.#.#.#.#.####.#.###...##.##...##.#.#.....###.##.####.#.#.#.##.####.#.#.##..#
#..#.#..#....##.###...##...#.#..##....#.#.#.#..#.#...##.#..###.#####.#####..##.##.#######...#.................#.#.#........###.###.######.#....##.######...##...######.#.###########.....#............####......#.##....#.#.##.#####.#..###.##...####..####...#######.#########..........##....#.#....##.....##.#...##.##.###.#...#..##.#.....#########.#.##...#####......####.###..#.#......##.....#..##...######..##.#.#....##.#....#####.###.###.##.#..##..##.#...#.####.#.###.###.##.#.#######.#....####..#.#.....###########.##...#.......###.#.#.....#.###..#.##
##.#...#####....#...#.##.#...######.#.....####.#...#.#..#.##.#...#.###..#..##...#.#.......######.###.#.#####.##.####.#.##.####..####.#.#....####..##.....#..#####.##.#.....##.....#####.###.##.##.#.#.#....#.#.######.#.###.#..###...###########..####..#.###.#..####...#.#.#.###.##.##.####.#.....#.#####.#.#..#.#........#....#.##..#########.#.#.###...######.....#.#.##.....#######.##.######.#.#.##..#...#.#..#########.###########.#........#.#..#.####.#....#.#...###########...#.#.#.......#.##.##...######.#.......#.#...###.##.#.#.#...#.####.#.##.###.##..#
#....#.#.###.##...###..###.#..##....###.#..##....#.####.#.#....###..###...####.#############.......######....##.#..#########.####.#......#.######..####.###.#.....#..#####.######.#.....##..#####.########.#.#...#.###########.#...#.#....##.#...##..##.........##....#........##########.#######.##.##....####.##########...#.##..######...............#........#######..#####.........#..##.....#.#########.....##..#.#....##............#.##.#.#.#######.....#.##.#.###...........#.#.#.##.##.#.#.#..##.#.#.#....##.##.###.#####...##.#.#.##.##..##..###..#....#.##
#.##.###.....###.##...##...##....#####..##.#####.#.##.#.########.##...######.#.#.##......#.######.###.#.##########......###.........#.#.####....#######.#.#.#####.##.#.#.#..##.#....#.#######.#.####.##.##.###.#.#..###...###############....###.###..####.#.##.#..#.####.#.##............#.#.#....#..####.##.####.######..#.#..####......##.##########.##.#.##.###...#####...###.##.#####..###.#.####.#.#.##.###.###.#...##..###.#.#.######.##.#######.#.#####.#.##.###...##.##.##.##.#.#.####..#.####..#.###...#.##...#.#.#.#.....#.#..#.###...######...##.#.#.##..#
#.#..##..#.###...###############.#.....##...###..#.#....###.......##.##.##.#.....#######.......####...#..####.#..######.#...#######.#.#.#.#..##...........###.##.....#.....###.#########.#.#...............##..####.#.###.#.#.#.######.#####......###......####.#.####....#.##.#.##.##.##...#...##.##...##.#...##.........##.#.###.###########..........##.#.#..#...#....####...######.....##########.........#####.#.###.##.##...#########..##.##.##.....#.#.#.#.##.########.##.#...###.#.#.###.#.#..#.##.##..#.###..#.#.#...####.#####.#..####.....##.#..#.######.##
#.#.########...#..###..##.#.###############...#.##.##.#.#...#.#.#..#.##......#####.......#####...####.#.##....##..##......#.#####...#.#.#...####.#####.######.###.##...#.#......#.#......#.##.##.#.#######..##.##.#................#.#.#.....##.#.....##.#.##...###.#####.#..###.##.##.####...#.#...##.#######.####.#.#.#..######..#.###.......#.##.#.#..#############.###....#....####.#.##..........#.##.##.#...........##.##.#.#..#......###.#..####.#.......#.#..#.##.#...##.##.####.###.....####....#..##.#.#...##.#.#.#......#.#...##..##..#.#.#..#.##...##.#.##
#####.#......######.##.#...........#.##.#####....#################......#.#.##..######.#.##....###.##....###.####..####.#.###.....#.#.#.###..#.###.......##...#.####.###.##.#.#.....##.#...##.#..#.#.......#####....#.#.##########.#.#.#######..###.#.#########..##..#.#######...#..##..#####.####.##..##.......##..#.######....##.#.#.##.#.#.#############..............###.#####......#.#..###.###.#######..###.###.##.###.#######.###.##.#.#.##..#########.#.#.####.#....#..####....#.#####.###....#.##.##..#.##.##..#.#.##.#.###...#.#..##..######.##..##.##.....#
#..##.##.##.###..........##.#.#.##............#.##...#...#.......#.##.#.#######.#.##...#.#..##........#.##.#.#.#..##....#.#...###.###.###...##.##..#.#.######........############.########....#.#########.##.....##.#########.#..........##.###.#...#.#.#.#.####..##.#.#.#.....####..####.##...##...##.####.###..########....##..#.#.#..#######.#.##.#.##.#########.##.#..####.######.#.#.##..########.......######...#....###.#.#....####....#..##.#..##.....#.###.##...#.##.##....##.#.#.##########.#..#.#..##.##..##.#.#.##########.#.##..##.....##.##.###.#..##.##
##.##.#######...##.##.#.#####.#.###.#.#.##.##.######.###...#####...##.#....#.##....##.####.##..######.#..#.#.#.##..####.#####.#.....####..#.#..###.###..##.###.###.#.#..#.#.......#...#.###.#.###.#.#......#####.##.#...........#.######........#######........##......#.####.##....####.....####.#..###.####.##.#.#.##.###.####...#.#.###.#.#.....#.#.....#.##.#.#######.#.#....#....#########.....#..#.##.###.##..#.##.#.##......##...###.###.###.#.##..#.#.#.#......#.#..#..##.#..#.###.#.##.......##.###.###..##.##.#.#.#.#........#..#.####.#######..#...##.##.##
#......##.#######..#..#.##.######.#.###.##.#...##....#.#.####....#.#..#.####....##.#####....####......##........##.##.###.....####.###.######.##.#########.....##..#.##...###.#######....##.####......#.#.###....####.######.##.#####....#.##.####.#.#..#.#.##.#######...#.....####.##...#.#..##..####.....#..............###.####.#.#.#.#.#.##.##.....###.#.#.....#.##...#...##.####...###...#####.#########.#.#..##.#..#####.#.#.####..##..####........##.#.#######.##.#.##.###.##.#.##.......#.###.#...##...##.##..###.###...#.#.#.##.##..##.......###.#.#..###...#
#.##.#....#.#.####.#.##.##..........#...#####.######.#.####.#.#.#####.########.##...##.##########.#.#.###.#.###.##.#..#######.##...#......##..........##.###.###..##..###...#######...##.#..##...#.##.#.#...##.###.#####.....##.#.....##.#.#..#........#######..###....#...#.###.####..#####.####...######.#####.#.#.#.##..#.....................##.##.#.....###.#......#...###.......###.###.##....#...#.##......######...#.###.###..##....##..####.#.###..#.#........#.#.####...##.#..######.########.#..##.###.##.######...#.#.#####...#.####.######...#.#.##...#.#
#.#######..........###..##.#.####.#.###.#......#.###.#.##.#.#####..#####.....###..#..#.#.##.......#####.#######.#....##.#.#...####.##.##.##..###.##.#..#.#######.###.##...#####...###.#....##..#.#..######.#####.....#.####.#####.#.#.#..#.##.#.#.#.##.#.#.#.#.##...##.#.#.#.#.....#..##......#.#####......#.#...#.#######.##########.#.###.##.#.###########.#######.########...##.#.##.#.#.#.#####.###...#..##.#.##.....#.#.#...####....#.###.##....#.#...##.#.#####.##.#...####.########.....#....###.#.###.##..##.##..######.#.#.....#.####.....##.##.##.#.####.###
###...#.#.########...##.#..#.#....#..#####.#.#.#.............####.##.#.###.####..###...#..##.#######..............##......##.##.....###.....###..#####.....###.###.######.#.#.###.#...##.#.##.##.#.##..#...#.###.###.....#..#.....###.##.#.##.###.#.##.#.......#..###..#.#.#.#####...###.###.##.###.######.....#.#.##........#........#.#...##.###....##.......##.##.###.#..#####..###..........#...#####.#.##..#..###.###...###.#....##.###......#.######..#.###.....##.#.#.#.....##.##.##.#######.#...#...#..##.##.###........####.#.##....##.##.....####.###.##...#
#####.....#####....#..####.###.#######.....###.#############..#.............#.####.#.#.#.##########..####.###.###.##.####....##.#.###...#.#.##..##.#.###.#.........##.##............#.##.#.###########...###.#.#..###.##...##.#.#.#...#..#############.###.#.#...##...####.#.#.....#...#.#...#...........##.#.##.#..########.######.#.#####..#.##..##....#.#.#.....###.....##.####..######.#.##.###.........#..###.#....###.###..##.###..##..#.#.####.#.##.######.#.#..#.#.#.#.#.###.....####..##.....#.#.#.##..###..#...####.#...##.#..##.###..##.##.####..##.....#.#
#..########.....#.#######..#####.##..###.###...#..###########.#####.##.#.##.#.#.#..###...##.#.....#####...##..#...####....##.#..#.##..#.#.#.##.##....#...#.#.####.##...####.#####.###.#..#..###.#.##.##.####...####....##.###########.##.#.............#...#.##.#####..##..######.##.#.##########.##.#.#....#..###.###..............#.##....######.#..######.##.#.###..#.#..#......##.########......#.##.#.###.##..##.#.#...##..###.##..######.#.#...........##...#.#.##.#########...###.#.#..##..##.##.###.##.##...##.###....##.#####.##....##.#..##....##.##.##.##.#
##...########.#.#.##....####.##...##.#.#...######..............###..####.#......##.##..#.##.##.##.###...#####.#.#.#....####..##.#.###.#.###.##.###.#...#.#.###.....###.#######.##...####.####........##.#..###.#########..##.#.########..##.#########.###.##.##...###.#######.#...##.#.#..........##.###.##.##.##..##..##.##.#.##.#.#.#..##..##..######...#...###.....#####...#######.......#..#.####.##.####...####..#.##.####.#...###.##.....#.##.#.###.#.###.#.#.#.##..#.#.#.#######....##.#..###.#...##.#######.##.##..#.##....###.##.#.###.#.##..##########..##.#
#..#..........#.#######.#.#...###.#....#####.########.##.#.#.#.....##....##.#.#.....#.##....#####.#.##.##.....#.######.#....###.#...###.###.#..#.###.#.###########.........#......##################..####.##......#...#####....#.#.#########.......#.##..#..#..###...#.###.....#..###########.##..##########..#..##..###.##.######.####.#..####..#.#...#...#.#...##.##.....#.#####...#####.##.#.#....#..##...###....##.#..##.#.###..##.##.##.##.##.#.#...#.##..#####.#..##........##.####......###..#.#.##...####..#..#..##.#..#.##....#.#...#.#.###..##.###....##..#
#.###.######.######.........#.....####.##.#..#.#.######..######.#.#########.#.##.##.#.#..##...#.....#...##.#.#####.#...##.#...####.##...#.######.###########.##....#####.#...####..##.##...........##.##.#.###.###.###..##...##...#........#..#####...#..######.##..###.#...#.#.#####.#...##########........####.##..##...##...##...##...##.##.##.....#.###.#####.##.###.#.##.#.....#.#........#.##.#.##..#.#.#####.###.##..#.#####.###.#####.#..######.#.#.######....##..##.#####.#..##...##.#...##.#.#.#..#..##..###.##.#..####.##.#.####.###.#..###......##.#.#####
#.#...##.....#.#....####.########.#....##.##.#.#.#..####.##.#...#..#.####.#########.####.##.#.#####.##.#####.##....##.##..##.##.....#####.##.##....#.....#.#.#..#.##.#...##.##....###..########.##.#..##.#.#.####......##########...#.####.#.###.####.#####.##...##.##....#.#.#.#.......#.....#..######.##.##.######.#######.######.##.#..###...##########....###..#.#...#######.##.#.##.#.#.#.#..#.#.#..##.#.#.......#.###.#.#.....#.#..##...####.#.##.#.#.#.###..#.##..######....##....#..####.#####.####.#.####..##.#####.#....##.#..##...#####.#...#.#.##..#.....#
#.##.###.#.#...#############.#.#....##.#...#.#.#.##.#.#..#....#.#.##.......#.#.#.....#.#.##.#..........#.#...#..##.....############.#.###.#.....##.###.#.....######....#######.#.##...##..#.....##.##.##......#.######.##.####.#..######.#.###.#.#....##.......#.#..###.#.########.#.####.#.#...##.#.####..#...###.###.#.##..##...######.######..#.#.#.#.###.##...######.#.......#..###..###.#.#.##.#.##..#######.#.#####...#...###...#####.#.#.........#####.#.##.#######.##.####....########.....##...##..#....##.##..##...###.##..##.#..#.....####.##.########.####
###..#...#.##.###..##...#........####....#..............##.#.####..#######.#.#.#####.....##.##.##.#.##...########..##.##.##.#.#.#####.......#.#.#..#...#####...##...##.##....######.#..##.#######........####....................###.##....##......#.######.##.#.#.##.#.###........############.##...#.###...#.#.#.##..#.#####..#####.#..#...###.#.#.#...#...###.##.#.#..##.##.#.##...##.##..#.#.###########.#.#..#.....#.#.#####...#.##.#..####.##.#.#.###......####.#.#......#...##.##.......#.###..#..##.##.######..####.###..###.####.###.####....##..##.#.......#
#######.##.##...##.####.######.#.#....##.###.##.####.##.#..#.##...##.................##.##..#..############.....#######...#.#.....##..##.#.#######.#.###.....####.#..#.#####.#..#.#.##..#.#.##.#..#.#.#####...#.#.###.#.##.###.#.#......##..#.#.##.###.###..##.#.#.#.....####.###.##....##.#.##.####...#.#####.....###....#.###..##.#.######...........#.#####...#......##...#.#.#..########.#.#..##.............###.##.#.#.#.....#.#.#....####...#######.#.####.###..#...####...#.##..#.#.##.##..##.##.##..##...#.##.##....#...##.....##...#....##.#.###....##.#.####
#.#.#.###..#..#.#...#.#.#.#.########.##..###.##.#.....####.#.######..#####.#.##.###.##..#..#####........#.####.####.####.##.####.############..#.#.#########.#..########.##..##.#.#####.....##.##.#.#.#.....#.#########..####..#####.######...####..##.#.##.#..#.#.#.#####.############.##.#.........#.#.#.....#.#.#.###.##.#.#.##.....##.###.#.##.#.###....####.##.#.#..##.####.##..##...##.###.#######.##.##.#.#.#.###########.####.##.#....##.##.......####...#.##...#.#....#.#..##.######.##.###..###..###.###.....#######.####.#.####.##.##.##.#.#.#.#####.#..#.#
#.#.#.#...##.##.###.........#.#..#########...##.#.##.##....###.#.#####.#####.#..#...###.#####....#.##.#.........#........##.##.#.#..##..#.#.##......##.##.##.#.###.##.##....##.....########....######.####.####.....######....###.###########.##...##.......##.###.#####.#..###.###.#.#.##.###########.....###.###........#.#.#..#####........###..########.......###.#.##...######.#####..###...##.##...#..######.....#.#.#......##..##.##.###..####.###.##.###....##.####.##.#.##..#.#......##...##..##.##.....####.##.###.#..##..#..##..##.####..#.#....##...##...#
#.#.#.###########...####.##.#...##.###.##..#.######..###.#.##....#.#.........#.######.#.##....##.#.#..##.#.##.#...##.#.#...........####.#.#..#####.###.#........#..##.####.#######..##.##.####.#.#######...#.#..#.#.#.##.###.##...#.....##.##.#..#..#######..#.######......##.#.#.#.....#....#.##.#.#####.####.#######.##.....##.#.####.#.#.#.#...####......##.############.##.###...#.##.##...###.....####.#......#####...####.#.#..######.#...##....#.......####.#####.#######.#..######.##.##.#..#.##...#.#.#.#.....#.#.....####.##.#####.....#.#####.#.####.###.##
#......###..#.##..#.###..#....#...........##.#...##.##...####.##.....#.#####.###.####...###.#.####.#.###.###..#.#.####.###.#.#####.#.#....##.#.#...##..##.#.###.##.....#...#.#.....##......#......#.##.#.###.######.#.##.#.#..###.#####.......####.######...####.##.######......#.#####.####...........####....#........##.##...........#########.#....##.#..####........##.##.#...#.#....##.#...####.##....####.####....#......#.####.##.####.#########.#.#.##.....#.##.#.#.###.#.##.#....##.##.#.##..##.#########.##.#...###..#.#.##...##..##.##.##....#..#####.#..#
#.####.#.##.#....##.#...########.#.#.####.##.###.....##.##....#..#########...#........#.#...###....#.#...#...######.#..##..#.#.#.#.#.##.#..#.#...#..##.##.#.#....#####...#...#####..######.######.#.#..#.###.###......##.#.####.........#.#.#....####...#######............####............###.##.###.##.#..#.########.#####..#.##.##.#.##.###....##.#.#..#.###.########....#....########..#########...###.####..##...#.#####.#.###........#.####.####.#####.######..............#.#....#.##..##.#.#####....##..#....###.#.#...##.#.#..#..##.####...##.#.##.#.......##
#.#...........#.##..##.##........#.#.##...##.#...#.###..#..##.####.##....##.##.#.####.#.##.#####.###########.#........####.#.#.......#####.....###.##...########..######.###.#.#...##.#....######.#.##.###.....#####.##.....##..###.##.##.#.#.#.##..###..#..##..#.####.#########.##.##.#.#.....#..##.......####........##....####..#..#.#...#..#######.#.##.#.#.##.###...##.#.##.#..##.###.##..#.#.#.###...#....#####.#.#.....#.#...######.#.##..............#......###.###.##.#.#.#.#.##..##.#..#...##..##..##...####...#####.##...##.#.##.....##.#####.##.###.######
#######.#.##.##.################.#.#.##.#.#..###.#.####.####..#.....####....##.####...#.####.......###..#..#####.###.##....#.#.#.##.##.##########...###.##.#.####....#####.#.....#.##.####.#............######.##....#####.####.###################..###...##..##.##########......###########.###.###.#.##....#.#.###.######..##..###.#####...####.....#.#..#..........#.##########....#.#.##.##.#.############.##....#.###.#.#.###..####..#..##############...####.##..#####..#.#.#.####.##..##.##.##..###.##..###....###......#####..######.########...##.#.......##
##.#.#..#.#..##.#................###..######...#####.##############.#....#.#####....#####....##.####.##.##.......#....####.#######......#.#.###...#####.##.#....##.#.........#.###.##.##.#.#####.#####.##.##...#..##..##.#.##...#..##.#...####.#.##.##...#..#######........###.##.#...##......#.#...######.#.######...#.#....##..####.#.....###....##.##.########.########.#.#.#######.#...........##..##.##.....##.#.####..#.#..##.##..##.##.#######...#####.##.....##...##..####.#.##....##.##.##..##...#.###.##..#.#######.#.....##.##.#........##..#..####.##.#..#
#......##.#.###.####.#.#.###.###..##.####....#.#.......##.............#.##...######...###########..#....#####.#.########...##.#.#..##.#.....#.###.###....#.####.###########.##.#............##.#.#.........###...###.##.....#.####....##.##.#.....#..######.#...####.##.##.#....#####.##.####.#...###......#..##.####...###.##..##.#..##.#.##...####..######.######.###.#..#.#.#.#...#.##.#.#.##.#..#.##...##.##..#######..##.#.##...##...............#.......###.#.####.##..##.#..##########.##.#######.##...#.#####.#..#.##.##.####..#....##.##.#######...##..#.##.#
#.###.#####.##..#....############.##.##.###.##.####.##..###########.#.###..###.#.##.#.#.....#.####.####..#.##########....####.....#####.#.#.........####.#.##.....#.#...###.#..#.#######.##....#.##.######.#.######.....##.#####.####.#..#..##.##...##.##.....###.#####.#....####.....####.#..##.#####.##.##.##...####.##...######.#####.##########..##.##.......#..#...##.........#......#.#..####.#.####.##.######......##..#..#.#####.###.#.#.##.#######.#.#...#.##.########.#####...###...##......##..#.###.#.....##......##..####.#.#####..#.##......###..##.##.#
#.#...##.#...#########..#...##....####.......#.##...#..##..##.#.....###...##........#####.#.....#.....##.#.#.##..#..########..#.#...###.###.######.##.#..#.######...###.....##.#.#.......#..##...#..##.....#.#.##.##.#####.#.##...#...##.##.#######....######...#.#.#.#.##.#....#####..##....###....##.#..##.####......###.##.......#..####..#.#....##...#######.##...#....###.##.#####.#.#.#.##................###..##.#####.#.####...#####.#########......#####.####.##.#.#.........#.....#.###.##.##..#####..#####.###.##.####....#.#.##....##.#####.#.##..########
########.#####.#.#...##...#..####.#....#.#.#####..#.##..##.#....#.#...###.###.#.#.#.#..######.#...###........###.##.###......##.#.###.####..#..#.#.##.##.....######.#.##.#.###.#######.#.##.##############.....##..#####.#.#.####.###....#..#.#..####.##.#.###.##.#.#.############.###.##.#####..##..######..#....##.#..##.##.#.###.##.##.##.#.####.#..#..#.........###.#.##....###.....#.#.#..##.####.#.#.#.##...##.#..##....###.####.......#.....#.####.#..##....##..#......##.###.##.#.###..##.##..######...##.....#...#.....###.####.###.######.....#.###..#.##..#
#..#......#......#.#####.###.###############.##..######......##.#.#.#.#...#...###.####.#.#.######.#...######.....#......######..###....##..###........####.#.....#.....#.###...##......######.###....#.##..#.#..#.##.......#..##....####.##.#...##...........#.#.......##.#.###.#.........#.....####.##..#######.#####.##..####.#......##....#......#.###...#####.#.###.#..#.#.##...#.###.#.#.######...###.#.##.#######.#####.##.......##.#.######........#.####.#.###.##.#.###..#...#..###...###.###....##..#..##.#.######.#.#######....#...##.###.#####...##......##
##.##.###...####....#.####.#.#..#...###.#.#.....###..#..####.#..#.#######.#.#..####..........#.##########..##.##...##.#.#......#######.###########.##......#.#.#...#.#....###.#######.##..###...####......##.##...########.##.###.#.........##.####.#.######.#.#####.#......#.#.##.####.#####.#...######.........##.....##.#.#..##.###.#####...###.##..######...###...#.##.#.###..#.#.#...###..#.#...#.##..#.##...##....#.....##.#######..###.##.##.#.#.#.#.#....#.#......#########.###.##..#...#.#...##..##.#.########.....#...#.##..##.###......###.....#..#.#.##..#
#...######.########.#.#.#....##.##.##.#.....#.###.##...##....##.#.##.#....######.####.##.###..............##...###.##.######.#.#...#....#.#.#.......##.#.#.#.#####.###.#.##.....##....###.#.###..####.#.#.#######..##..........############.....##..###.#.#.......#######.#.....####.######...###.#......###.#.######.######.########.....##.#.#....####.####.#.....#.#..###.####.###.#.#.####.#.##.######.#.###.####.#.#.##.########.###.##.....########.#####.##.##.#.#.#...####..##...####.#####.#..##..#.#....##....###.#.###..##.##..###.###.#...#.####.###..#.##
###.....#####.............##............###.###......#..####.#..#.#....#####.##....####..#...#.#.##.##.##..#####....#.##.....#####.####.#...######.#####.#.#.##....#...#..#.#.###..##..##...#.##.#.#..###..####.##.#..#.#.###.##.###.#.#.######..#####..#...#.##.##.#.##..##.##...#....#....#...##########.#####......###......##.#.###.#....#.#.#.##....#....#.###.###.##...#.##.#...###.#....#.......##..#...###..###.#..####.#.........##.#.#..##.#.#....###.#####.#######......##..#.#.......##.##.##.#####.######.####.#.....##...####.#...#####.#....#####.#####
#######..##.#####.##.#.##.#..##.#.#.#.#####.#...##.#.####....#.##.##.###........##......##.#.###.#..##..##..##.####.#.#####.#####...###.###.#.####.#####.#.#.#..##.#.#.##.#.###.######.####..........#######.#..##...#######......#..........##.##.#.##.##.####.....#....#####..#...##...##.######.#....#...#.#..######.####.#........######.#.#.#.#..##...#.##..##...########.#..###.##..##.#.#####.#..##.##.##...##...#.####....##.#.##.#######........##.#.......####.#.##.#.##.#..##.#.#.#.#.##..####.##..####.######...##.##.###.##......###..#####.#..##.......#
#.#.....##..#......###.########.#.#.####....##.#####.#....##.#.#..#..#####.###.####.#.###..########..#.####.......#.###.######.#..#......#..........##...######.##.#.#.##.####...###.###.#..#.##.#.####.####.##.#..#.#.....##.###.###.##.###.##............##...#.#...##.##.#..###.####.##..#......####.###.....####.....##..#.#.#.##..#.##..#.#####.####.##.#..##..###..........####.###########....##.#..#######.####.#.##...##..########.#.#.####.##.##..#.#.######........#.#####.######.#.#####..##...##....#.#..#...#..#..###....##.#.#...##...##..##.##.##.#.##
#...#.#..##...#######..#...##...#.####.####.##..##...#.############.##..##...###....####..####......####.###.#.##...##...........###.###...#####.#.##..####.#.########..####.###.#.#.###...###########............##.#####..####.......#####.###########.#.####.####.##..#....###..##...##.##.##.#..........###.#....###....##########......###########...##.##..##..########.##.#....#.....#.##..##.#######.#..#....##.######.###.#.....#....#.###..#...##.#.#.###.#..#.##.###.#.......##...#.....##..##.######...##.##.##.##.##...#.#######.#....#.##.###.##..#.####
#.#.####.#..######.#..##.#....#.#.###........##..##.######.##.##.######....####..#.###.#####.#####.##.#..#...#####.####.#.#.###.##############.#.###..##....#.###.#.#####....###.#.#.#.#####.#.#####.#.#.#.######.####.####..#...#.##.##.................#.#....##...###.######...###.#.#...######.#.####.#..#####.#.#...##.#.#.##...###########.#......#..#####.###..##...#############.##......##....#.###.##...##.....##....#.#######.####.#.#.##.##.##..###.#.....####..##..#.#.#.####.#.#.##.#######..#.#...#........####.####.#.##.#....##.#.####...####.##....#
#.###......##........##..##.#.#.###...#.##.#####..####............##.##.##.#....#####..#.#.#.###...##.##.#.#..##...##.#######...#.#.##.........#...########.#...........####.#.......#.#.#...#.#.#.#.########......##.....##.###.##########.##.##.##.#.#.#.##.#.##.#..#########.#...######.##......#.#....####.#.#######..#.#....###....##.#.#.#...#.#.##.##.......#######.#.##.##.......##.###.####.#.#........###..#.#..##.#.#...###..........#.##..#..#.##########.##...####.#####....###.#.#......##..##.#.###.#.#.##....###....####...##.##.#....#.####.#.###.#.#
####..###.######.#.#.#..#####.#######.#.##...#.#####.#####.####.#........#####.##.#.##.......#.##.##.......######.###.##.#....###......##.#.##...###.####.#.###########..#.#.#######...#.###.#.#.....##.#.#.####.#.###.##.##.....##..##......#######.#.#.#.##.######.##.......#.##.###.#.#..##.#####.##.#...##.#.###.....#######.....##..........#.###..#####.#.#.##.............###.#.###..##..######.###.#.##..##.####.########.##...#.##.###...##.##.#####.###......###...#####.##.#.###..#.#.#.##..##.##...#...#.#.#..#.#####.#.#....#.##.##.##.#.#..##.....##.#.#
##.####...##.....######..##...#.......#.##.###..###...........###.#####.##..#####......###.#......#..###.######.####..#....##.#...##.#..######.#..##..##.............###......#.####.#....#....#####.##......##..#.#...#.....###..##....#.##.#.......###.###..##.#...#####.##....#.#.......#####.....##.#.####...#...#.#.##......##.######.#.#.#.#.##..##.....#.#.##.#.##.#.#.##..##.#.##..####..#############..###.##...##.#.#...###########...#.....#..##.......##.######.##.#.#....#.#.#.##.#.####.##...#.#.###.#.####.#.....#.#.##.#.#.#..##..#.###.#####.#..#.###
#..######.######.##.##..#####.###.##.##.#....##.....#.#.#.#.#########.#####.#.#.#.####.###.#.#.#.#####...##.....##.##.###.######.##..#.##......######..#########.###.....####.#....####.#...##..##.#....#.##....#########.##...##.#..##.#.##.#.###.#.##..##..###...###..##.##.##.####.#.##.#.....#.#.#..#.##.###...#.#.#########..####.##..#.#.###..##..##.##.#.#..#####..#.#..##....#####.#.###..##......#.###.#.#.####.##.....#.......##.###.###.##.####..#.##.#####.#....##.....#.####...####....#.##.#.#####...#...##.##.##.#.###..#.####.###.#..##...##..#.##...#
##........#......#.....###....##..####..#.#.####.####.#######...##.....#.#........#....#...###.####....#..#####.#..#......##...#..##########.#.#..#.#.##.#######...##.##.#......#####.#####..##......####..####.#.........##.#.#######..###..####..#..##.#####...######....#...#.#..#.#.##.###.#.#.#.##.####.....#####.##.#.#....###......##.#.##..####.#####.#.#.##.....#####..###.##.......#.########.#.........###....##.#########.#........#.#..###....##.#....##....#.######.##..##..#...##.####.#..#.##.####.###.##.##.##.######.#..##...##.######.####.#.##.###
#..#.##.#####.#.###.##...##.#.###..###########.###########..###....#.#.....###.##.###.##.#.#...##.####.##.#.....##...#.#.#####...##..........#.##................#############.##.#....#.##.######.#.##...##....##.#########.#..##.....##...##....##.##...##...#.##...#.#.####.####...#.##.##..#.#.#.#..#....#.####.####......#.##...##.#.#..#.##.##....#.....###.########.######....#.#.#.#.#.##....#######.#.##...#.#.#####.#.......#.#.#.##.#.##...####.#..#.#.####.#.###..#.#..#.##..##.#..#....#.#.##.#....#...####...#.#...##....#.####.##.....##....##.#..#####
##.#######....###.###..#.######.##...###.#.#.#.##....#..#..#######.#.##.#.#########...#..#######.....######.###.#..#.###.#..###########.###.##.##.#.#.#.##.###.#..##.#######....#.####...####......#####.##..#.########......##.########..#.########.#..#.#..#.#.####...###.#..##...#.#.##..###########.#.########.......#.#.##########.#.#.##.##..##.#.#.###.#####.#.......#.#.###.######.###..####.#.###...#.#..#######.##....#.##.##.#####..#....###....#.####..#.###.####.....##..##.#..##.#.#.##.#.#..##.#...#...###.#####.###.####.#....###.##..##.#.##.##.....#
####...#...##.#....#######...##..##.##.....#.#.#..##.##.#.###.##.#.#.####.##..##.###.###.##......###.###.####.....##..#####..##.##.......####..#..#####.##.#...##.#...##.#.####.#.#.###.##.####.#.####....##.####.#.....##.#.####........##.#........##.###.######....#####...#####.#.#######.....#.#...#.#...#....#.#.##########.#.....###..#..##..#.#.#####.#.##....#.###.#.#.#.#...#.##..###.#.......#..#.#.##.##.#.##....#######.##.#.....###.#...####.#.#....##.#...#....#.#..#.###.##.##.#####..#.#.#######.#####.#.#.##..##..#....##.###....##.##.####..##.####
#....#...#.##.#.##..#.#.####.#..##########.......##.....#.##..#....#..##...##........#...#..####.#.......#.#..###..##..##.#.##.....#####.#.##.###.#.....#..##.#######......##...#.#.#....#.#.#..#.#..###.######.#.###.#.##.#..##..#.##.#.####.##.#.#.##.##..##..#####.#.....#..##...#####.#.#####...#########...#.######..#.#.#.#.###.#.#...###..##.#.###........#.######.....#.....###....##.....#.#.#...####.#..#.......####.#.#....####.##..####.####.#.#.#.#.##....#.##.#.###.##.#...##.##.....##.###.##.#.......##......##..#.###.#.#...####.###.##....##.#...###
#.##.##.#####.#.###......#.....###.#.#.#.####.#######.#...###...##.#.##..#####.#####.##.############.###.#.#.##...##..##....#..#####.###.#....#.#####.#.##.##.#.##....##.#..###.....####...#.#.#####.######.##........#.##.#.###.#######..##..##.###.##.##.####.......###.####.######........#....#........#..#.###.#.###.............#####...##.##.#.######.#.#######.######.#.###.##..##.###.#.####.##.##....##.##.#.#.##........#.###.####.##....##.....###########.######.##..#####.#####..#.########..#.####.##.##.#.#.##..##.##..#.##.##......######.##..#.#...#
#.#####.#.....#.#...####.#####.#.#.#......#####.##.######.....############.###########..#.##...###...#.......##.#..##..####...##.......######.#.......#.#######.########.##..#..#.#......#......##......#....#.###.##.#.#..#.#...##......####.#...##.#..##.##...###.#####.#....#.######.##.#...##.##.#####...##.##..#.....#.##.#.###.###.##.#..###..#.#......###..#.....#.#.....##..#..##..#...###.#..##.##.##..###..##########.##.#.#....#...###.#..##.##.##..........##.##...##...##..##..##.#....###.####.#.....###..###.#..##...##.#..######.#####.#....##.###.###
#..##.####.##.########.#.#.#...#.#.####.#...###........######..##.#.###.##..##.....###.##....#.....#.##.###.######..########.##..#.#.#.##.###.#.#####.###....##.#.#.##.#..##...####.#.##.###.##..######.#.##...###########.#####.#######...####.######.###..###.#...#.....##.#.#....#####..###########.....#..#####.#########..#.###.##.....##.###.#######.#.####...###.....##.##..###.######.##.....###.##..##.####.##.........#..######...#..##.#.##..#...###.##.#.###.....######.###....###.######....#.#.###.########...##.#..#.##.##...##.........#.#.##..##..###
####..##.####.##.#.....#.....#.......######.#...##.#.#........###....#..###.####.#......####.#.###.######...##.....##..#...#..#.######....#...#######..#####...........####..#...####.#..#...######.....######.#.............#####.......###.#....#.#....####...#.######.##..####.#.......#####.#####..#.#.######.#.###.##.#..##...#..#####.##.#...##......#.#..#########.###...##.##..#.#######.###.##..##.###.#....######.#.########....#.##.##.#..##.#.#..###############....##....#.#.##........##.#...............#######.##.#.##.##.#..###.#.#.#####..##..##...#
#..##.#...#.####.###.#...#.#.#.##.##.#.#......#.##.#####.####.#.####.##......#.#####.#.##....####..##.....#..####.####.###...##.#...#####...###.....####.....#########..##..###.##.#########.#.##.####.##..###.####.#.###.####..#..#.#.###.....#.##...#.###.########.....#..###.####.#.#.##.......##..####.##................##..#.#.##.....##.##.####.#.#####.##......#######.##...##.#...#.#.####...##.#....#.#.##.#......####.#.....#.##.##..##############.##.#.#........#.##..#.####.##.##.#.#.##.##.#.##.#.##.##.#...##..##.######..#.##...#.#...##..########.##
##..#.###.#..##..##..#.#.#.#########.#.######.#..#.##.####....#..###.#####.#....#.####.#######....#######.#.###...##....####..#.###.......#.#######.##.##########.#.###....##.#.#...###.##...#....##.#.###.#.#####..#.#...#####.########...#.###.#..#.#.#....#.#.#...#.###.###.......#.#####.##.#....####...##.#######.#####..##.###..#####.##.##..#.#####........####.#.#......#.########.....##...#..#.#.#.################......#####..#####..#.##.#..#.#.#.#......####.###.##.##...##.##.#..###.####..#.##.###..#....#..##.##...#.###.#.####.###.###..##.........#
###.....#.#.##..##..##.######.##.#.#.#.#.#....#.##.#.......#####.#....##.#####.##..#####.#.####.#.#.......#.##..#..##.#...########..##.#.####.#..........#.###..........#.##....##.##.#..########............###...####.#.#..##...#.#.###.##..##.##.########.....###########...#.#.###.#......######..##..######.#.....#.....###.##..##.....##.##.##.##....#####.####......#.#.##.#....#######....#.##.###.#.#.#.#.##.#...####.###.#.....##.....##....##.......##########..###.####..#.##.##.##..##....##.#.#...##.##.#.##.##...##.##.....###.....##.##..########.##.#
#...###.#.#.##.####.#####................#.##.#..########.#####..####.##.##.##....##.###.#.#.#..######.##.#..#.######.#.#...#.##...##..###....###.#.#.##.....#####.#.##.#.##.#.###......##..#.....##.#######.....#.##...####..###.........##.##...####.#########.##.#.#..####.##.#...######.###......######.#.#....#.#.###.###...##.#######.##.##.##....##.#..#####.#.####.#.########.##..####.#.##.##..##.###.#.#.#....#....#.#...##.##..##.##..####....#.#.#..........#.##......######..##..##..##.######.##.##..##.#.######.##..###.#.##...#.#.##..##...##......#.#
#######.....#...#.###...##.##.##########...#..#.###.#.....#...##.##...##.##.#####.##.#.#.#.#.#####.....##.#.##.##...#######.#.###############.#####.########.#.#.########.######.#.##.#..##.###.#..#######...#.#.#####.######.....##.##.#..#..###.###...#...#....##.#.##......##.#.#.##.....####.#.#.##.##......##.###.##...####.##..#.#....##.##..#.#.######.#.#...#.#....#.##.##.##.###......###...#.###.##........##.##.#...#.#.#...##.#..#..##....##.#####.##.#.###....##.#.#..##.##.########.##.##.######..##..#.#..###....##..####.####.#.#..##.###.#####.#.####
#.......###.###.#...###.#######.#........#.##.####....#######.#.....#....#........#..........##....#.#..##########.###.#.......##.##................##..##.....#.##...##...##....#######.....#####.##......#.#.#.##....##.#...#####..#####.##..##.#...#...#...##..#......#.##..##########.#.#....###.##....####.##.##..##.#..##..##.##...#.#####..##.###.###......#...#.##.#.#......#.#.#.#.####...#.#.##..##.##.#.#######.#.#.#.#.##.##..##.##..#.#.#####......#.#.#...#.##..#.#.##......##......#.....#.#....##..#####...##.#.###....###....#.##.##...#...##..#....#
###########.#.#.##.##.#.#.#.......#.##.#.#.#..###..#.##.###...#.#.######...######.#########.#################.##...#.#.#####.#..#.######.####.#.###.###.######.#.####.####..####.##......###....#######.##.#.#.#####.#.#....#.#.....##.....##.######.########..##...##.#.#.#..##..#.#.#...#.##.#...###..#.##....##.#..##..#.####..#####.#####.#..#######.#...#.####.#.#.######.####.......#.##...#.#.#..##.#..#..#.#.......##########..##..#####.#############.######.#.####.##.#..####.#..##.#.#.##.##.#...##.###..##.#.####.#.#...#.##...##.#..###..#.#.#.##.###.#.#
#...............#..#......################.####.######....###...#.#......#.##...............#...###.#.###.#.#.####...........##....##.####....####..#.....####...#.#...#.##.#.#...####.#######.##.##.#...#####.#.....######.#####.#..###.#.##..#.#.###...#....##..###..#.####..##.#.#.#####.#################.#.#..##..##.###.##.##.....#.....#.##..##.#.###.###....#.#.#......##...#.#.#.#.#..#.###.#.#####.##.######.##.###.#.#.##..#######....#....##.#.......##...#.###...#.#.##....#.#######.##.########...#####.......###.##.#########..#.#####.###.#.#...##.#.#
#.##########.##.##.#####.##.#.#..#...##########..##.#####.####.#############..##.##.#.#####...###...#.#.#.#.#.#..##.#.###.#.#####.##..#.#..#####.########.#....#...###...####.###..##..#.............###..##...##.##.##.....##....##.##..#.##.##...#...#...#.######...#####.#.##........##..#.#.##......###.###.#.####..#.#......##.##.######....##............####.#.####.#.#..##.####.#.####.#.##..#..##...#####.....#..#........##.##...#..#######.#....#.#.####.#.#...#.#.#.#..####.#..##......#.#........#.....###.#.#...###...###......#####.....######.#.##.#.#
###......#####...#..###..##.#.##.###.#.#........##..#.###.#.####..........#########.#####.###.#.###.........#.##....#####.###.###..##.....####.#.##.....#...######.#####.#.#..####....###.##.##.#.##.....###.#.#..##.###.##.###.#.####..##.##..#.#...#####.###......#..##.....##.##.#.#....##....###.####.......#....##.####.##.#####..#......##.###.####.#.####....#.##.######.##.#....###..###..####.##..#.....#.######.########.....###.#######......#.##.#.##...#####.#.#.#.#####...#######.#.##.#.#.#.#.###.####...#.###.##..###.####.#.##....#.#...#.##.#.##.#.#
##..####.#..####.##...##.............#.#####.##.###...#...#.#.####.##.#.#..#.#.##.###.....###.#.#.#######.#...########....##......######.##.......#####...#.##...........#...##....#.####.#..##.####.###.##..####.##.#...#...####.#....##...##.#####.#.......###########..##.#####..######.#####.#...##.#########.##.#..##.###..#.##..#####.#.##..#######.#.#....#.##.#.........##.#.##...##.....##....##.##.#.######.#.###........#.####..........#.##.####.#####.##.....#.#.####.#..#..##.#...#.#..#.#.#.#...####...#.#...#..##........#######.###.##.##.####..#.#.#
#..##....##.#.#..####....#.#.#.#.###.#..##...#......#.###.#....##..#######........#######.#...#.#.##.#.######.#.##.##..##.####.##..#..####..#.###..##...###.##.###.#####...#....##.#..##..##.####....##..###.#.....#####.##.##.#####.#..##.######.######.#.###...........##..##.######.##..#.....##.###..#######...#.#.##...##.##....##.#...###..##.#.....#.##.#.###..##.###.##.#..#.#..#.######..##.####.##.#...##.....##..#.#.##.#.##.###.#.#.##.####.##...#.....######.#.####.....#####....#.####.#.#.###.#....#.#.#.##.##.####.##.#####.##...##..##..#...##.##.#.#
######.#......##..##..##.##########..##.###.####.#.##.#...###.######.#.#...######...#.###.##.##.#.#......##......#....##..#....###.##.#.#..#######....###...##.##...##...#.#.#.##..######.##.#.####.####.#...##.#.##......####.......#.###.##............#..###.#.#####.####.#..#.##......##.#.#......##.........#####..###....##.#.##....#..##.###...#.#.#################..#######.##.#.#......###....#.#..#.#.######....##.#.#..#.##.....######..##...#######.#.#..##..#.##...#.#..#####.#.#..##..######..#.#.######.##..#..##...#####......#..##..##...#..#..###.#
#.#....####.#.##.##..#####....#.#.##.##.#.####...###....#..#...#.##....##.##....###.#.....##......######..##.###.##.####.#######....#.#.####.##.####.####.#.#..###.####.##.#.##########.###..#......#..###.#.#..#..###.#.##..##.##.#.###...##.###.#####.##.##.#####.....##...##....###########.######.#..##.##.#.##.##.##...##.##.#.###.#.##.####...#.#.###.................##.......#..####.#.#.##..#.###########.#.#####.##.#.##.#####.##.#..#...##..#.#.......####....##.###.#####.....#.#.##..##.##...##.#.#..##.....##.####..#.###.###.##.##.#..##..#.##.##..##.#
#.##.#.#....#.....####.######.............##...#.#...#.###...#....###.#########.....#####.##.####.##...#.#####....####...##.#######...#.##......#.####....#.####...#....#..#.##..........###.##.#.#...##...#.##.#.##########.#..#..#.#####.##...####....##.#...#....#.#..###..##.#....#.######.#........###.#..#..#.##..###.##..#.###.#.###....####.###########.##.##.##.#.##..#.#.#.##...######.###.###.#.####.##...#.##...###.#.....########...#..####.#.##.#.###.###.###.#...##....##.####.##.##..#..#....#.##..##.#.##...##..##.#........#..#.##.#..####...#.###.#
#....####.####.#.##.#..#.##...#.#.#.#.##.###.#.#####.############.#....#.#.##.#####.#.#.#..#.#.....###......####.##....#.#.....#.####.#.#######....##..##.#.##...#.###.###.###..##.##.##......#.#.##.#####.###..#.##....##.....###.#.#......##.###.##.#..#####...#.##########.#######.....##.#########.##...##.##...##.##...#..##.##....####.###..#.##......#...#######..#######.#.#..##.##...##..##.##......#...#.#....##.##...##.####....#...#.#.##....###..#.#...#.....#.###.####.##....##.#..###.#####.#.#####.##.#.###.##..#######.#.##.#.##.##.##..####.##.##..#
###.############....##.#.###############.#.#######.####.#.###.##....##.....##.##....#.....########.#.##.###.#.#...##.######.##........#....#######.#..#####.##.######..#.#.#...#####..#..#.##.#.#.##.#.#...##..##.###.#....#.#..####.##.#.#.#..#......#.##..##.#####.#.#.#.####.##....###.##.##.#......###.###.#..#..#..##.###.##..##.###......##.#.##.#.##...#...#.##..####.##..#.##########....###..######.###.######.....###.#...#.#.##...#.#.#.####.##...######.#.##.########.....##.#.##.##..##.##....#.##.##..#.#..##..##..##.....#.#..###..#...##....#..####.##
######.##...#.###.#.......#.##..####.#.......##..#..#............##.#..###....#####...###.#.##.#......###.......#.##.##..####..#.####...##.....###...##..##.######..#.##...###..#.###.##.#.##.#.#.#....###..##..#...####.#.####...##..###.####.#.##.#.#..##....##.#........#.#.....####...##.#....##.#...####..##.#.########.#.##.##...##.##.###.....#.######.##.##.#..##.......######.##.#.##.#...#.##..........##.#...##.##...##.##.######.###.#.#....##.#.#........#######.....###..#.#.#...#.##..###.#.#..#.#..##.##.###..##..##.#.#####..##.###.#####.###..#.####
#.##...#..#.#.....##.#.##.#.##.##.#....###.#####.##.########.#.#.#..#.#####.#.....######.....#...##.#.########.##..###..##.#..#######.#.#..###...###..##.....##..##...##.#.#...##.....#..###..#.#.#.#.###..####.######...#.###..#..##.##..##.#####..######..##.#....####.#.....##########.##.#########.#.##...##..#...#.#......##..##.##..#..#...##.#####.....##.##.##.##########.#.........####.###.###########.#....###...##.##..#...#.....#...#####.########.#.###....##.#.#.#.##..##.####.##..#.##.#.#.##...##..#.#....#.####..###.#.....##...##..#.##...##.#....#
#.####.#.##.##.#########............#.###..#.##..##..##......#.#.####.#..#..####.##....##.##...#..###...#.#..#####.##..##....##.#...#####.##...#.....###.#.#..##..##.##..#.#.#..###.#.##.#...##.###.###...########.##..#.#.#...##.#######.#..##.#..###.#...##..##.#.#....##.#.##.................##.##.###..#.#..##.###.######..####...#######.#.##..###..#.#.##.#.....#............#.#.###.......####.###.##......##..###.###.###.#.#...#.#####.##.#....##.#.#####...##....#########.##...##.#######....#.###.##..#####.######.##.#...#.###.######..##....#.##.#.##.#
#..#...###.....####.###..#.#.##.#######.##.#.#..###.#####.##.#.#########.##.#.......##....####.####...#...#.###....###.##.####..###.##.######.###.##...###.######.....##.#.####..##.########.##..##.##..#.#.##...#.#..##.#.###..###.###.####.#....##...###..#################.########.########.##.....##..##.##.##.##.........##....###.......#.##.##...##.#..#.##.##.#####.#.##.#.#####...##.#.##...........#.#.###.##...#...#...#.#.#.###.....#..#.####..........#..#.######........##.##......#####.##.#....#.##........##.....###.#.###......##.###.#.#..#....#.#
##.###.##..##.##.....#..##.####.#####..........##....#.#########.........#######.#.##..##.#.#..##...###.#.#.#.####..##.####.###.###.##.#.#.#..##...##.##...####.#.##.##..#.#....######........##..#.##.##.#....#...##.##.######.###.#....##..####..##.##.#######.#.##.....#####.##.#.#######.#.....#.#..#.##..#..##.#..##.##.#..###.##...#.#.#.#..####.#..####.#.#####.##....######.##....#.#..#.##.##.#.#.#.######....##.###.###.##.#####...#.#.##.####...###.#.#.##.##...##...##.#.#..#..##.#####...#######.#######.##.#######.#.##..###...###.###...###.####.######
#......#####..######...##..##...#...##########.#####.#.#.#.##..####.####.#.#.#...##########...##..#######...#.#..##.#..#.#..#..............##..###########.#......#...##.#.####...###..##.##.##..##.#####.##.#.#.#.....####.....#.#.####.###......###....###..........###.#.##........#........#.#.#.#.##.###.##..#.##.##.#..#.##...##.#.#.#.#.##.##...#####...###.#...####.##...#...#.#.##.##.#.##.######.####.....##.##.##..#...##.#.....#.#.#.#...#.#####...#.#..####.####.####.###.###.#........#.#............#####....#.###########..#...#...##.##....###......#
#.####.#.######.######.##.##..#.#.#......#.#....##.#..........##..#.#..........#####.....#..#.###.#....####...##....##.#.##.#.##.#.#.##.#.####.#.....#.#.#.###.##.##.###.###....###...######..##..###.#...####.#.##.#.###.#.#.#.#............#.##.##..##.....#.#.##.#.##....#########.###.#.#.####.###..#.#...###.#.##.#..##.#..###.##.###.#.#.##..###.#.....#.##....#.#.....###...#.######.##.#.#...##....#....#.###...#..######..#######.#.#######....#.##.#.####.##......#.##...##..#.###.#.#.#.##.##.#####.#.###.#...####.....#.###.####.#.##.##..###.#...#.##.###
###......#.##..........######.#.#.##.###...####......###.##.#....########.###.###....###...##..##.#.##...####..####.##.#..#.#############..#.#.#####.......##..#..##...#.#...##.#...#..##....###.##.....###....####.####....###.#.#.#.#.###.##..####.##################..##...............#.#.##.....##.#####.#...####.#.##..#.##...##.#...#.#.#..##...#.###.#.#####.#.#.#.###.#.#.###.......###.#.#.###.#.##.#.#.##..#.##.#......##.......#.#.......##......#.##.#..##.#.############....##.#.###########.....#.....#.#....#####.#.#.#.###..#..#.###..##.#.#.###....#
######.#....##.##.####...##...###.##.#...#......#.#.##...#..##.#.###......##..#.#######..#..##.#########......##.#.....##.#.###.#.##..###.##.###.##..##.#.######.##..#######..###.#.##..##.#.##...#.##.#####.#.##......##.#..##.#####.#.#....##.#.....#.#.......##.#.##.##..###########.#.#.#..##.#.###.#.....#.#.#....#####.#.###.#####.#.########..#####...###.#...#.######....#..######.####..#.#..#######.#.#.#..##..###.###.########.########.#####.#.#.#.#....##..#...#####...###.######....#..##.#####.###.##.###.#.##...............#######.#.###.#.#..##.##.#
#.##.#####.########.#..#.######...####.#.####.#.#.#.####.##.#..#..#..####.#..##.........##.#####.###...##.#.#....##.##.............##.#.......#...#.##..#..#.#######.###..###.#...###..##..#####.##.##.#.....#.###.###########..#.....#.##.#########.##...#.#.#..#....###..##...........#.###.#####...#.##.#.##.####.#..##.#.###...##....#.#..#.#######....#.#.....#.#.#......#.##.##.#.#.....####.#.##.....#.#.####.#..##.....###.##.....##..#.#####....###.####.#.##.##.#...##..#..#...#####.####.##...##...#....#...#.#.##.#.###.#####.#....#.##.....###.#.#####..#
#...........#.#.##....####.#.######....#.#....#.#####....##.#####...##....##.#..#.#.##.#####.##...#..#..########....##.###.#.#.###......#####...#...#..##.##...........##.#...#####...####.##.....#.#..##.#.##.#...##...##.##..######.#.##.#..........#.#.######.####.##..####.#.######.#.##..##....#.#.#..###..##...#.###...##..#.##.#.#####.#.#.#.#.###.####.#.#.#.#######.####..##.....#.###....#.##.#.#...#.##.#.#.##..#######..#########.....#.####.##..##...###...####.#######...#..##........##.#....#.##.#.###.#.#.##.###...####..#.##...##.#.#..##.#.#.####.#
#.#####.###...#.#..##..##.....##....#.#######.####....##.##..##...######.##..#.#########.##...###...##.##....##..#.##..##..#.###...#.#.##.....#.###.#.###########.##.###....###..###.#########.#.##.##.#..#.#..#.#.##.###.....######..#..#######.#.##.#####............##.##.###..##.####..##..###.####.##.######..#.###...#..##.########.#...............#.#..#.#.#.##.#....##...##..#.#.#...###.##..###.##.##.#....#.#..###.##.##.#...##....#.#........###.####.###.####....##.....#.######.#.#.#.##.##.#.###..#.##..#.#.##...##.##....##.##.#.##.#.##.##.#......#.#
####....##..#.....##..##..###..########.......##...##.##.###########.....#######.#.......####.#.###.##..##.#..##.#..##..##.#####.#.###.#..#######...#.####...####.##.##..#######.......##...##.####.#######.##.#.#.#...#..#.#..##....##.##.......###..#..#########.#.#....##.######.......####.###.#.####..#......####...#######.#...#.##...#.##.##.#.#.###.##.#####.##...##.####.###.#.####.##...#..##...#..#..##.#.######...##.#....#..############.#.##....##..#.#.##.#.##..###.#.#.....##.#######..#..#.##..##.##.####.##.###..##.#.##...#.#..#.#..#.####.#.#.####
#....#.##..##.#.#.##.####.####.##.##.#######.#####.#######.#.#.#.#.###.#.#.###.....#.###........#####..######....######.##..##...#############.#..#.#..##..#......##.######......##.#.#####.#.....###..###..##.#.#.#.#...##.#.##..#.##..######.######.##..#........###.#.##.........#.#.#..##..#........#.##.####..#####.##.###..###......#####..##.#####......##....#..#.#..#......#.#...##..###.##..##.###.##.##.#.##.....#......##.#.##.##..#.#....#.##.#.##..##......#.#..###..#.##.##.##.....#########..##..###.....#.##.######..#..###.#.#.####.##....###.#....#
#.##.#.#####..#.#.#..##.#.#...........#.......##...#.#.##..#.......#...#.#...#.#.#.############.#.####.##.#.##.#...##...##.#####.##..............##.#.######.#.#.##..#......#.##.#######.##...#.#####.##...############.###.###..######....#####.......##.#.#####.##...#####.######.#.#.#.####.##.#.##.##.#..#....##.....#......#####.##.#############....##.#..##.#.##.#.####.#.##.####.####...###..###..#####.####..#.#.####.#.###..#.....##...####.###..#.##.#####.#.#####...##.#.#..######.####.........##..##...###.#.##.#......##.##...#.#....#..##.#...#.#.##.#
#..#####.#...##.#.#####.#####.##.##.#...##.##.####.#....##.#######...#.###.#...#.###..............#.#..##......#.#..##.##..##....##.#.#.#.##.###.######.##...#.#.#..###.#.###..###.....#.#..#.###.#.#.#..###.##.##......#.....##.#.#..######.#...##.#.##....##....####.#...####.....#####...##..###.##..#.##.###.##..###.#.#.##.##....#####.#.#.#.##.######..##..###.#..####...#.##..##..#..##.##...##...##.....#....####.#....###...###.##..###..##..##..##.##.##....###.....#########....##.....##.##.###..##.####...###.##.##.###..#..#.#.#.#.#.###.##.#.#.#.#..#.#
####.......#.##.#.####..###.#.##..#####.#..##..#######.##......####.####...#####.##..#.##.##.####.#.##....##.#.#.#.##...##.##.#.###########..##...##.##....#.###.##.##..###...##...#.#.....##.##..#.#...###...#.#######.##.##.####.##.##..##.########..###.#####.##.##.###....#####.##....#####.#....#.##.#####...#.##...###.#..###.#.#............#...##...##..###..#####...#.#.##.####...##..#########.##.###.##.#.#.##.##.#.#...###...###.#.##....####.#..##.###.#...#####.###.##....#####.#.###..#..##..###..##..#.##...#..###...##.######.#.#..##..#.###.#.##.###
#....#.##.##.##.###..##.#.#...############..####.###...#######.#......##.#..###...######..####.........##..###.###.###.##..##.#..#.#.#.#.###.#..#.#...####.#.#...#..#####...#.#..#.#.#.##.#######.#.#####.#.#.......##..#...###....#...#.##.....##....##.....###.#.....##..##..##...##.##...#.####.#.#..#.#.....#####..#.##..##.#.###.#.#.#.####.#...#....#.######..##.....#.###.##.#####.####.#......#..##.#...##.#.#.....#######...##.##.#...#..##...##.#.##..#...##.##.#.....#..###.####.#.#...##.##..####.#.##..##..##.###.#...#.##.##.....#.#.##..##...#.#.#....#
#.#.########.#..####........#.#.##..#......###.#.#.###...........#.#.########.##.###.....##....#####.#.#..##.....###.#.##.########...#.......##.###.#......###.#.##..##...#.#.#.##.#.#.##.##...........#....##.##.#....###########.###....#.#.#..####.#..#.###...#.#.#..##..##....#.##.####.#..##..#.#.#######.#######.#..##.##.#.....############.#.##.#.#..##....#####.#.####..##..##.#.##...######.####################.##.#.##.#######.###...##..#..#.#########.#..##...#.###.##........#.##.#########.......#.####.####.#######.##..###.###.#..##..##.####.#.#.##
#.###...##...#.##....###.######..##.###.#.##...........######.##.#.#...##........#...#.#########.....#.##.####.#####....#.#........#...#.##.##....####.#.#.#...#..######.##.#.#.#..###.##.#####.#.##.#...##.#..######.##......#........##.######......##.###.###.#.#.######.###.#.#.#..#.#####....####..##.#...##.#.##.##.#..##.########...........#.#..#.##..#.##.##....#.#....####.##...#######..........#.#.#.##.##...###.........#.#.......#..##.#.####.........##..#.#.#####....##.##.##.#..##....#...##.#.##.##.#....#.#.......##.##.....#.##.##.##.....#.###..#
#######....#.#.####.##...#...###..#.#.##############.#####.....#####.#..#.#####.#########.#####..#.#.#.##.#....##....#.###########.###.####.###.#.##...#######.#.##.......##########...##...##..#.#..##.##..####.......##.#.#...###.####...#.#.#.##.#.#..#.......#.#.#......#.###.#.##.#..##.##.#.##...##..######......##.##..########.########.##.#.#.##.##.##.####..#.#######...##..###.#.###.###.#.#.##.............####..####.#.##...##########..#....####.##.#.##.##.#.##....#.##..########..####...#..###..#....#.#.##.##.#.#.##...##.#.####..##..##.#.####...##
#.......####.#.#....##.#.###.#.##.....##.##....###...##....##.###.#..#.####...###.#...#.........##.###.##.##.#..##.#.#...##.....####...#.....##.#..##.###......#.#..#.#.#.##.........###..#############..##..####.#.#####.####.##...##...#.......#########.##.##.#.####.#####.#...#.##.##.......#..##.####.#.#....#.##.####..##..................###.#.#...######.#######.##.##.####.##...#.........#.#.####.##.#.##.#..##..##....#.#..#######....##.###.###...##.###...###.#..##.#..##.....##.##....#.#.#.###..##.#.##.#....##.###.#..######.#..##.#..##..#..####.###
#.#########..#.####.##.###........#.#.......##.....#####.#.#..#...#.#####...#..#..###...#####.####.#########.####..#.#.#.#..#.#...#..#.#.#.#..#########.###.##.#.##.########.######.##...##...##.#......####...#######.#...##..##.#.##########.#.#.##..###.#..#..####.#.#####.###.###...##.#.#.##.######...#...####.####.###.##.#.#.#.##.##.#.#.##...#.##.##..##...#.#.#.........#.#..##.###.#####.##.###.#...###.#..##....##..#.#####.#.......##.##.##....###.#...##.#..##.##.##.#.###.##.##.....##.###.#.##..##..#..#.#.##..####..##..##......##..##..##.#.##....#.#
####........##.##...#####..#.#.############.#..#.#.##....#.######.###.#.######.##.#.###.#...###......##.......##..####.#.#.######...##.#.#.#####...#.#......#..#..####.#.#.####..#..####..###.#..######.##.#.###.#.#.....#####.#..#.#..........###.###.....##.#.##......#.........##..###..#.#.##.##...###.##.##.....###.....##.#.#########.#.#.#..###.#...##....#.#.....#####.#...#.#####.#########..#.....###...##.#..#.#########..#.###.#.#.#.....##.####...#.#.##.##.##.##.####...#.##.#..#.###..##..#.##.####.#.####..#.##....##..####.#.#..##..#.###.#..##.#...#
#....#.#.#.##...##.##.#...##.#.##......#######.#.#..####.#####.##.#.....#.##...##.#.#...#.#.....##.#####.###.####.##...#######.###.#####.#.##....#.....######.######.......##.##...##....##...##.#.#....#....##......#.#.#.....##.#.###.#.#.##.##..#...#.#.##.#########.##.##.###..##..##.##.#..#..###.........##.#.##...#.#.##.####.##.#...#.#.#.###..##.#####.##...##.##.....##.##.#.###.##....############.#########.#...###.#.##.###...#.#.#####.#.....##.##.#.#..##..#..#.#.##.#.#..#.#.##...##..#.##.##.#.##.#.##...########.###...##.#.##..##.#.##..#.###.##.##
#.#.##.#.#.#..###..#....#.#..#########....##.#.####.##...#...#....#####.#.#..#......##.##############.#...##.##...##.#.####.#.........####.####.##.###.##......###...#.###.....########.#####..#.....##.#.##..####.########.##.####.#...######.###...#.#.#.##.##..###....####...##.#..##..##.#.##.###..###.#.#.##.#.#..#.#.#.######.....###.###.###.#.##......#####.##########.#####.#...#.#..##....##.#.#.....#.##..##.#.###.#.#.##.#####.######....##.##.##.##.#.##.#..###.###....###.######..#####.###...#....#.#.##.#...#.#....#...######.##.##..#.###.#.#....#.##
#.######.#.##.#...##.#.#########.#.#...##......##...#..#.###...##.##.##.#.##.#.####.####.#.#............#.#####.#.#..#.#.#..#####.#.###.####....##.#...##.#.#.##...###.##..###...........#.###...#.###..#.#..##....#........##.#....###.##.....#...#.#######...##...###.##....#######.##.##..###..#...##...#.#..###.#.##.#.###......###.....###.#......###.####...#######..........#####.....###.##........#.#......##..####...............#..##..##..#.##..#..#########...#.#...#.##....##.##.####....###.##.#.##.#..###.###...##.#.#.....##.##..##.###...###.#.##..#
#.###.#..#.####.#.#..###.##.##.......####.#.#.########.###...#.#..........#######.....##.....##.###.###.###.#.######.###.##.#.##..#.###...###.#.######.##.#.#.#..#.##...##.#...###.##.#.##.....###.##..####.##..######.###.############.#..#########...##....######.....#..##...##....######..##.##.#.#..#.#.#.##...#..##########.#...##.#.##.#######.##......#.#....##.#####.#.##.##.####.#.#....###.#.#.#######.#....###.####.#.####.#.#.##....##..##..##.#####....###.#.####.##.####.##........##.###...##.#.##.##..##...###.##.#.##.##..#..#.###..##.#..##.#..##.#
###.....####....#.##.##......###.#.#.##...#.#.##.#..#####..#######.######..##.#.#####.######.#..###.#...##.....#.#.#.#...........####...#.....#.#.#....####.####.#..##.##..##.##...#..#..##.######..##..##..###.#......##...#.#.#.......########.....#####.#.#.#.########.####.##..##.#.##...##...###.##.#.#.#.####.#.####........#.###..#.#...#.####.##.#.#########..........#..#.##......#.########.###.##......#######.......#.##...#.#..##.#..#.##..##...##...##..#..#....####...##..###.##.#.##.##..#..#.#..#.###.#..#..##.#..#.#..##.###.#...##..#.##..#.#.##..#
#...#.#..###.#.##.##.#..####.....#.######.#.#.#....##...############...###...................##.#...#####..#.#.......########.##.##...#.##.#.##.#...#.##....#..###.##..##.###..#.#.##.########.....####.##.##...##.##.####.##.....#.#.#.#........##.##..#..###.#.#........#....##.#####....#####.##...#..#.#.#.#....#..#.##########.#.##.#.###...#....##.#.#...#.#...#.#.#.#.##.##.###.#.#.###..#.#.#.##..#..##.#######...#####.#.####.##########.#####..#.#.##.#..##...##.#.###.#.#.##.####.##.#..#..##.#.####.####...##.##..#.#.####.##...##.#.#.##.##.###.#.#.###.#
#######.##...#..###..##########.#####.##..#.######.####..###.#.#.#####.....###.##.##.##.##.#..####.##.....##.#.#.#.####.......#..##.#.#..###.######.#..####.##.....###.##.#...####.#####.#.#.###.#..#.#.##.#########..#.#..##.#.##############.###...##.#.##.......#.#.#.##.##.#####.###.#....##.##.#.##.#.#.#.##.#.#.##............#....#######...##.##.#.#.#...##.##.#.#.#.#...#.#...#.######.....###############.....#.##....###......###.........##.##.#.#..#.####.##..#.#.....#..#.##.#.##.#.##.##..#..##..##...#.##..#.####.##...##.###..#.#.####....#.#.#..##.#
#..#.#######.##.##..####........##.....#.##.##......#.##...............#####...##.#...##########....###.#..###.######.######.##.###.########..##.#..#.##....#..###...###..###.#.#..#.......#.#...####....###.....##..##...########.....#..#....#...###..#########.##.#.###..####.#....#####.#..#..###.#..###.################.#.#.#.##.#.#.....###.##..###.###.#..#.####.#.####.#####.######....###.###.###.#.......##.##..###.##...##.###.#####.#.#.##..#####.##.##....##.#.###.#.#.##.#..#..#.#.##..##.##..##..###.#.##.##.#.#...###.#...#####.#..######.###.##.##.#
##....###.##.####..##....####.#..#####...#..###.#.#......#.#.#.#.#.##.###.###.#####.#.##....###..#.##.#.#.########....#......##.#.#####..#...##....##..##.#.#.##...#.#######..#...###.#.##.....#..##..#.##...#.#.#..########.#.#.#####.##.##.#####..###.###.......#..#.#...##....####.#.#.#.##.#.###..##.#....##...#.##.......#.#.#.##.#.#.###.....##.##.....#.##...#.#..#.##...#.#.###.##.########.#...#.#.##.####.##.##.##...##.#.#..##..#.....#.###..###.#..#..#..##..#######.#.#.#####...##.#..#.###.##.##..##.#.#..#.##.#...#.#######.....####....##...##.##.##.#
#..##........#.###.####.##....#.####...#.##.#...#.#.#.##.#.###.#.######.......#.###########.....##.#....###...##.####.###.##.####.###.##.###.###.#.##.#####.#..##.##.#.......####.##..###..###.#.####.#.####.###...##..#...#...#.#...........##....##.......####.###.#.#.#######.#...........#####.#.######.###..#....######.####.#..#######.#.#.#..#.##.#.########.#...####..#.#.#.##..............###.#...#######.##.######.##..########...##.##...##.##....##.###..##.##.#..#.###..##...#.##.#.##.#...#...##.##...##.#..####.##.#..#....#.#####..##.###.###.#..#..#
##.#..#.##.#.#..####.....####.#.##.#####.#..#.#.###.###..##########..###.##.#.....##........#.#..#.##.#..####.....#.#.....##.#....#.#.#......#...#..####....#####..###.###.#..##...#######.#...#..#.#.###....####.####...#.###.#.######.##.#.##.##..#.#.###.##....#########.##.#...#.##.#.##..####.####.#.###...#####.#.##.....##.####.........#.#.####..#..#.##....#.#....######......#.#.#.######.##....#..........###.##.#######.....###.##..#..#..#.##.####....##.#.....##...##..####.##..###..#.###.#.#..#.#..#.##.####..#.#####...#.##.....##.##..##.#.####.#.##
##.##.#.#..####.#.#####.##....#.#........##.#.#.##....##.#....##..##.#.#.##.#.#.###..##.#.###.##.#######.#....###.....#.#.##.#.##...#.####.#.#.#.#.##....####.....##...#...#.####.##.......###.#.##.##########.#..#.######.........#.#..#..#.#..#..##.########.#.##...#.#........#.####.#..##..#.#.##......#..#.#.#........#.#.##.#....#####.#.###....####.##..####.###.####...###.###.#######.#....#..#####.###.#.#.#.......#..#######..##..##.##.#.####....##.#.##..##.#.###.#.##.##.....##..##.##..####.##.####.####....##...#.#...#.#.##.#.#.##.#..###....#.#.#..#
#..#..#.##.#.............##.#.#####.#########.#####.#.#######..##.........#####..##########...#....##....#.##########.###.#..####.#...####.#.#.#.#..##.#.#....#.#.#..####.####....#######.######.....##.#.#......##..####..##.####.....###########..#.##.....###.##.#.....##.#.#.###....#.####......####.#...####...#.##.#.#.#..#########....#.##..#.##.....##.#....#...####.#.....########.#....##...##......##.######.####.##...######....##..#..#....##.#.#..#####.##.#.#...####..##.#.##..##...#.##.##.##..##..##.##.#..##.##...#.###.##.#.#..####...#.##...#.#.##
#.#############.#######.#######.....##....#######...###...####.###.##.#.#...######.##..#.#..#.#.#.##..#.##.####.........#.##.##...###......#####.#.##..####.#.#.####.###...########.......#...##.#.#.#..#.####.#..##......##..#....#.#.#.##.#.##...####..#.#......#.###.#..#####..####.####....##.#.##.#######.#..#.#.##.#.#.#.##.........##.###..###########..####.##.##..#####.#.#..##.#..#######.#..###.#.######.#.###.....###.....####.######.##.#.###.#.##..##....###.###.##...##..#..##..###.#.#......##.###.....###.##..######.##..####.#.##....#######.####..#
#..###.#.##.#.###........##.....#.#.#####....##.#########..........##.#######.......##.....####.#########..#..#####.#.###.#..#..#.##..#.##..##...#.###.###..###.#....#...###..##.###.#.######....###.##........##.###.#.###..###########.#.......#..####.####.##.##.#...#.###....##.#....#####.#..#.#..###.###...##.#.####.#.#.#..#.#.##.#######.#####.#.##.##......#..###.##.##.####.##.##..#.##.######.###..##..........#.#..######.#.#..##.#...##.####..####.##..##.##....###..#..#.##.####..##.#.###.####...###.##.##...##.#......###...####..####.......#..##..##
#.##...........#######.#.############...##.####........#..#.#########.#.......#.##.####.##.##.....##...######..#....#.##..#######..##.#.#..#####.###...#...###############...##......#.#...###.#...######.#########.###.######.##...#.##.####.#.##.##..####.#.##..#####.####..##.#....#.##.....#.##.##.........####.#..##..#.#.##.#####..#........##.#.#.#..#..#.#.##.##...#...#####..#..###.......#.#.#.#...##..####.##.#####............##....#..#....##.##...###..####.#.##...##.####.....##..#.###......##.##....#..#.#########.###...#...##.##....#.#####.##..###
#.##.#.#.###.#.........###............#....##.##.#.###.#######....#.####.##.#.#.#...#.####..#.#.#..#.#..#..###...##.#..######.....##..####.##......###.###.##.......#.######.####.#.##.###.....###...##...#...............##....###...........###..###..#......##.##....##.####..###.##..##.####.##.####.#.#.#..##..#.####.#.#.##.#.....##.###.#.##..#...##.##.###########...#..##.##.##.#.#####.#.........#..##########..##...######.###..###.###.#.##.#..##.###...##....#.#..#.#...##..#.#.##.##...####.###...###.#####.#...........##.##.###...###.##.#####..##...#
#.#..###############.#..##.#.#.##.##.#####....#######...##.#.####.#.#....##.#######...##.#.##.###.#####.#.##.###..#.#.###...#######..###....###.#.###..##########.#......#.#......#..###...#.#...#.###..##############.##..##.#...####.##.##.#####...##.##.##.##...##.#.##.#.##.###...##.#...##...###....######..##.#.##.#.#.#.########.#..#...#..##.###.....#######.#.#...#.##.............#..#####.#.#.#.#.##..........##..#.#......#...##...##..#..#.##..#######.#####.#.##.#.##.####.#.#.#...#.#.##....###.##.......#.#.####.#.#.##...#...#.#...###......##..#.###
###.##......#.###....###########...###.######..##.#.##.##.............##.##.##.##.###.......#####..##............##.#...###.........##...##.##..#...####.###.#....###.##.....##.#.#.######.#.#.#.#.########.#...##.....##.##..###......##.#..#.....####....##..##.###.#.#.....####..####.###..##.##...#####..##.##..#....#####..##.#######.###.####...#####.##...#.#.#...#######.#.#.######.#.###.######.#.#..##.#.#.#.#############.###.##..#.###.#.##.##.##.........##..#.#######.#.##.#.###.#.#.#####.#..##..###.#.###.####...#.#..##.###.##.#.####..#.######.#...#
###..######.....####....#.#......###.....#####.##....#..#######.#.###.##..###...#.....####.####...#####.#.#.#.##..#.#.###.###.#.#.#..##.###..##.#####.#........##.#...###.##.##.#.####.....###.#.#.#..........#....##.###.#####...#.##..####.###.#.##.###.###.######..#######....##..##..##..##..#######....##...####.##.....####........###...##.###....##.####...#...#.#..##.#######...................#.#.###.#.###.#..............##..#.##.#...#..###..#..#.#.#.#..##.#.#.#.#......#.#..##.#.#.#.....#.##..####.########...###.#.#####....#.#..##..##.....##.#.#.#
#.######..###.#####..##.#.#.#.#.##...#.#.......#####.#.##.......#.#....######.#...##.###...##...###.#...#.#.###..####.#....##.#.#.##..#.#.##.#...##.#.##.#.###..#######.####.##.#.##...###.###.#.#.#.#.####.#.##.#.#..#....##...#.#..##...##.#...#.##.......#.#....####....#####....##..####.###.#.......##....###.....##.#####.######.#...######..#####.....##..#...#.#.##.....#.#.#####.##.#.#.###.#.#####.##..#.#...######.#.#.#.#..#.##.##.##.###..##.###.#.#.#.#.##..#.#.....##.#.#########.#.####.##.#..##........##.###..##.#..#.###.###.##.###.##.#.#.##.#.#.#
#.##.#...##.#...#.##.####.#######..#.####.#.##.#.#........#.#.#####.#.###.#.#######....##.#########.###.#.#.#...##..######....#.#.#..##...#####.###.#.#..#.##..####.....#....####.#..#.##....###.#.######...##################.##.##..#####..##.##.#..#.#.########...#####.......######.#.....#########.##..##.####.#.##..#.##.......####.##.###..##.#...###....###.##.#..#####.#.#.#.#...#..#.####..#.##....##.##.##.##......#.#.#.##.####.##.#...##.##..#.#####.###.#####.###.#.#..####.##...#.#.##....#.######.#.#.####..###.#..#.##.....###..###.#.##.#####..#.###
#.#..###....###...####.#...#.#.########.######.....#.#.##.#.####.#..###.#....#.##...#.##....##..........#.#####....###.#####.##.###.##..#..##.#.#.......#########.#####...##.#....#.######.#.##..####.#.###.##..#.#.##.#.##....##.#####.....#####..#.##.###..#..####..##...#####...#.##.#.#.#..###......###.#.....#.#.###.#....#####.####.##.#.##.##...#..##.#.##....#.#.##.............#.##.#.#....####..##.#####.#...####.#.#####.##.##.###..###..###..##.........#..##...#...#.##.........#.###.####.#######...#.#..#.##.....#.##..###.#...##..##...##.######.#...#
#.##..#..##...###..###...#...#.#.##.##...#.#...##.##.#.#..###......####.####......#####..#.####.#.#.###.#.##.##.####.....##...#####.###.##.##...##.#.#.##.....#.#.#.#...#..#.###.##.#......#..##.##..........##.............##.#....##############.#.##.####.##.#.###....#.##....#....#####.##.#...#.##.#...##.####.#...#########....#.#.............###.##..#######.#####..#.#####.#.#.#.#..#####.####..##...##...##.##########.#..#.......#.#####...##.##.##.##.#.######.##.#.#.#..#.#.##.##...###....#.##..#.#.#.##....##.#.##.##.######.#####..##.##....#.##.##.##
#.###...##..#..#..##...#####......#..###.#.#.#..###..####.####.##.##.........###########.###.##.###########.......######.#..#..##....##.##########.#.######.#.........#.#.##.#....#.#.#.#.##.##..#####.#.##.##..####.#.#.##.#..##.###........##....#..###...........###.##.##.##.##.#..##...##.#.#.####.##.###...##.#.#.##......####.....#.#####.###.##..##.###......##.##########..#.##########....##..##..#.##.####.#............###.##.###.#.....#.##.####..##.#.#.......###.####.#.#..#.##.#.##..##....##.###.####.#####.#.#..####..........####..##.##....#.#...#
#.#.##.##..###.#.########.#######.#.##.#.....#.##...###.###.#..#...####.#.#########.#........##.##.....#.#####.##..##......##.##..#.#####.##.###...#####.#####.##.##.##.#.##.###.######.#.##.##.##.#.#############.#.###.##.#.##..########.#..####.############.###.#.#.##.#...###..#.##..#.#..#.#.##....###...##########..####.##.#.#######.....##..#..###.#...#.##.#...#.#.##....#######.#.....#.####..##.#.#..##...#####.#.##.#.##...#...#.###.#.#.####....##..#.#####.#.##..#....#.####..#.###..##..#.###..#..##.....##..#.##...##.##.#.#.###....##..###.#.####.##
#....#######.......#.##.......##.......#.##.####..#.#.......#########...######........##.###.######.##..........##.#####.#.#...##.###..#.........#.###.#.#.#.######...###.####.....##...#.##.####.....#.#.##.#.#.....##...#.#.#####.#.##.####......#............#.......#..#.#...##.#..##.#.#.####..###.##...#...##..#..####.........####.####.#.#..###.##..##.##.##.###........##.#.##.#....##.##...##.##..#.##.##.#.##....######..##.###.##.##..#.#....##.#.##.####.....#.###.##.#.#....####.##..####.#...##...####.####..##.#..#.##.#..#.#...###.####..##.####....#
####.##..##..#.#.#.#..#.#####.########...#.....####.##.####.####......#.#......###.#.##..#####.#..#####.#.###.#..#.#.....#.##.##....##.##.###.#.####..........##.#..#.##....###.#########.#...#######...#........#.#.#..#.###.#.......#...#.#.##.#.##.#.##.#.########.#.##.###.#.#..###########.#..##...####.#######.#.##.#####.#.#.##.....#.#.#.##...#####.##.#...#######.####.#..#......##.#...#.#.##..####.#...#.#.###.#.#......##....########.####.######.#...##..###.###.####.#.##.#....#.##.##....#.#####.##..#..##..######.###..##.###.#..##...##.###.##.######
#.#..##.##..######.#.####.##..#.##.##..####.##..#########...#..######.#####.#.##...#.###...##..##.......###...########.#.###...###.##..#..##..###.###.#.###.#......##..###.##.####.#.######.###.#.....#...##.#.#.#.####.#...####.####...#.....####.#..#.#..######.#...#######..#.##...##.#.#......#####.#.....##.#.#.#.#..#.....#.###..#.#.....#.####.#.....#..##.###...#..####.##.###.#.##..#.#.#.#..##.####.#.#.#####.#######.#.####.#.....##...##.#######..##.#######..##.......#..####.############.###......##...####....##....##.####...##..#.###..#......#..###
#...##...####.#.......##...##...#.....##.....##.#.....#.###.##.#.###..##.##.#.##.#.###...#####....#.#.#.###.#....##....#...###.##...##...##..##.....##########.###..####...##...........######..########.#############..#.#.##.#####..#.##.####....##.####.##.......#.##......#####.###......##.#..##...#.#.#.#......#.##.#####.#.#...#####.#.##..##..##.##.##.##...###...##.....###...#..######.#.#.##..#....###.##....####.#..#.#....#.###..##.##...##.##..##..#...#...####.##.#.#.##.......#.###.......###.#.##..#.##...#.##..##.##...###.##..##...##.##.#####.##.#
###.###.##.#..#######....#....#...#.#.#####.##..#.#.#....#.......#.##.#.....#.#..#######.###.########.###.###.##.#..##.##.##...##.#####.##..####.##.##.#.....#.##..##....#..##.#######.##.##.##.#.#.##.####...#........##.###........##.#..##...##.##.##.#.##.#.##.##.#..##.#.##......#.##.#.##.#.##..###.#.#.######.#.##.##.########.#.....#..##..##..#.#..##.###.##...#..###.#.#####.#.####.##.###.######.#.#########.#.#....#####.#.#..##.##...###.......########...#...##..###.#..####.####.#.##.##.###...#..##.#..##.##..##.#...##.##....##..##.##..##.......#..#
#....#...#...##..#.#########.###.##.#.#......###########.###.###.#.########.###.####.......#.###.##...#...#....#######.#...###.#...##.#..##.##.####.#....#.#...##.####.#.#.#####........#..............#..###.###.##.#.##.##..#.#.##.#####.#..#########.....#####..####.###.#####.##.##.##.#.####.###.#...#.#.#..............#.#.#.########.#.####.###.####..###.######.#.##...#.#.....#..#.#.....##.#.##...#.#....#........##.....###.#.###..##.##...#.###...###....#.##.##..######.##.....###...#####...###.#####.#.###..##.#..##.##..##.#.##..##..###.#..#.#.#...##
####.###.###..##.#.#.###......##.#..###.#.#.##.#.#.#.#....##.###.#.#.##.....##..##...###.###.#......#####...##...###...##.##...##.##....#####...#.#.###.##.##.#####....#.#...##########.##########.#.#.##.#.#.#.#.##.#..#####.#####..#.#...######.#.#####.####.#..##......#.#..##..####..#####.##.#...##.##.#.##.#####.##.##...#.#.#.#......#..##..#...##.######.##.##########.####.##.##.#.##.##.##...##.#.###.##.###.###.##..##.##...#.#.####...###.#.##..###.######.#########.....####.#...#.#.#.#...###.....##..####..######.##.###.#..#..##..####...##.#.#.###.##
#..#.#...##..##..........###.##############.##.....#.##.#....#..........###..##.###.##....##...#.##.##....#..#.#.#...###..##.#.##..#.#.###.####..........####.#.#...##.###.#.#............##.#.#...#.#............##.##..##...########...#.##...........####.....####.#.#.#.##....##....##........##.######.#..###.....##.#..#.........#.####.####.#.#.#...............#.#.#...#....##.##.#.....#.#..#..#######.##.....#....##..######.#....##..#.##..#..##.#....#......###......#.#.#.####.#.#.#.....#..##.#.#.###.##...##..#.#.#...##.#.##.####....##.##..#.#...#..#
##...###.###.#..#.###.##.##..##..####.##.##.#..#.#......#.##.###.#.#.#.##...##..#....####.####.########.#.#.########.##..#####.#..####.#........#.##.##.##......###.##.#...#.###########.##......#.#.#.#.##.#.##.##...##..##.##.#.######.#.############.##.####.###.#.#.#.###..#.####.#.#..#.#.#.#####.###..#.######.#..####.#.##.#.##.####....#.#.###.#.########.#.##.......#.##.#..#######.#.#####.##.##......####.#.#.#.##..##......###.####.#.###.#.###.####...#.##...#.#.##.#.#.....##.#.###.#.#.##..#.#.#.#....#.#.###.....##.###.#.##...###.#..#####.###.#.#.##
####.#.#.......##..##..#####.##.##..........#######.#.#.#.######.#.#.#.##.#.###.###.##.#....##.#...##.###.#....##.....##...###.##..##..##.##.####..#.#..###.#.#.###..###.#.#.###............###.########.##.####..##.####.####...........#.#.###.###.......#......#.#####.####.###.#..#.##.###.###.....#.######...########.#.#.####.##.#....#.##...#...#.#........#.##.##.##.#.##.#.##.......#..##....########.##.#..#####..#.######.#.##..##...#.#...#.##..##...#.#..##.##.#.####.##.##.##.###...#.#..#.##.#.#.#.#.##.#...#####.##...#.#..#.###...#####.#..##..######
#........###.#.##.##..##.....#...#####.#.##.###.#.#########.##...#.###.##.#..##.######...#########........#.#.######.##..###....##..##.#..#..#....#####..####.#.#...##...###.#...#.###.#.##.###..###.....##.#....###.##.###.####.#.###.#####.......#######...###.##.........##.##....##.##.##....#####.#.###..###.......#....#.#....####.#.##..##.###.######.#.#.#############..#.#..####.#.###.##.#.##..#.#...#..##..#.###.####.....#####..#.#.#.###.#..##.#..#.#.#.##...###....###...#.##...###.####.####.#.#.###.##.#.#.#.....#..###.#.##.##..#.......#.####..#...#
#.#.#.##.#...#..####.###########.#.#.########.....##.#.##......#.#.##...###.##..#....######.#.#.#..###.##.#.#.#.#.....##.##..#.####.##.##.####.#.##.#.##.#....#.#.#..###.##..#.#.#.#...###..#...##...#.#.#..#.#.##...#...........###.####.#..##.##...#.....#.#....#.#.###.#.##..###.###.#..#..####.........#.##.#.#####.#.##.#.##.#.#....###..##....############..###.###......#####.##...#.#.####.#..##.....#.##....##........##.##..##...##.#.#####.##.#..#.####.#..##.###..##..##.#.#.##.#.#...##....#.###.#.#...##.#.#####.#.##..##.###..##.###.########..##...#.#
###.#.#..###.#####.####...#.##...#.#.####.#######......#######.#.#..##.##....##.####..............###..#..#.###.####.##..##.#####....###..#....#.#.......###.##.#.##.##..##.##.###.##.###..######..#.#.#.##.#.#..###.###.#.#.#.#.#....#.....########...###.#.#.##.#.#.#...#..##..##...####.####..######.##.#....###.......##.#.#..#.#.#.##...####.####.#.#.##....##....#..##.#.#.....#..#.#.#......####..##.######.#..###.#.####..#..####.##..#..##....#.####..###.#####.##..##..###.########.#.#####.#....####.#.#.####..##...#####..#...##.##.##........###....#.#.#
#...#.##.#.....##...#...#.#..###.....#.#....#.#.######....#....####.##.##.#############.#.##.#.##.##..###.###.........##.#..#.#...#.########.########.##.#...#..#..#.#..##...###...####...##......####.#..######...####..###.#.######.#####.#..##.#..#.#####.########.#.#.#.####.##.###....###..##.####.#....##..######.#.##.#.#.##.#####..#.####..##.........#.####.#...###.###.#.###.##.####.#.#..#.#.######.....#.##...#...##.###..##...####.#####.##########...##.....##.##.##.#...##.....###.....#.##...####.#.#.###.####..##.#.###.######.####.##.#...#.#.##.#.#
###.#.#####.##.####.#####.##.#.#####.#.####............##...#.##....##.##.##............#.##.#.#...##.#.....##.###.##.#..##.#...#.#.##.#.....##........###.#.#.##.#####.##.#.#######.###.##..##.###....#.##......###....##...###..........####.#....##.#.........##...#.###..##..#...#######.##.#.......########..##....#..#####.####.....##..##..##..#.##.#.##.##...##.##...###.#.##..##.#....#.####......#.###.#.#..###.#.#..###.#.#####....#.#.###..##........#.####.#.##.#.....#.#####.##..###.#.##..#.#....#####.#.#....##.##...#.####.#.....##..#.##.##.#..###.#
##..###.##..##.#.#..#.#...##...#.###.#.##.####.##.####..##.##..##.#.##.##..##.#.##.##.#.#.#######.##..###.###..#...##.#######.#.#.#.#..##.##.######.##..##.#.#.#...##.####.#.#...........#..##....##.#.######.##.###.#.####.########.###.###.....##.##.##.#.#.##.##.#.#.#...######.###....#.......#.#.#####.##.##.#..#.##.##......###.###..#.######..#####.#.#..############...#######.##.#.##.#.##...#.####..######.###..#.##.##....##....##.###.#...##########.#...##.#..#.#.#.#.#...#.###..##...#.##.##.##.#.#.........#######..#...##.....#.###..####..##.##.##..#
#..###.....##..#.##...###.#..#..............#######....###.#..###.#.##.##.##..###...###.#..##......######.#...####.##...##....#.#.####..#.#..#......##.##..#.#.##.##...#.######.#.#.#.#.#####..####..#..##....#....#####.#####.##.##.#.....##.##.##.#..#..###.####..###.###...##....##.##.####.##.###..##...........##..#..######...###.#.####.#########...#.####......######.##.......##.###..#.##.#.#.#..##.#.#.##.#...##.##.##.##..##.#.##..##...#.##.##......#.#.##.#.##.#.#.#.#.###...##..##.##.##.##########.#.#.##.......####.######.#.#...##....#.##..##..####
##...#.##.####.#....#.......##.#.#.####.#.#...##.#..##.#.#.##.#...####.#..##.#####.###..####..##.#.#......##.##....##.#.#####.#.#######...##.##.#.#.##.#..##.#.#..####...################.####....##.##..##.#.##.#..##.....#.........#####....##..####.##.##.....##.#...#...#####.#######.#.##.#..###.####.##.###.#..##.#####.....####....#.......###.#..#.#.#....##.#..##.##..#########..#...##.####.####...........##.######.######.##.#.##.###.#.#.##....####.#.#.##.#.##.#####.#.....#####.##.#..#......##.#...#.#.##.#.#####.......#####.#.#..##.###.#..####....#
#..#####..##.#########.####..#####.##########.#....##....#.#..#.#.##...##.#..##.#####..##....##..#.#.####..######.##..#.#.....###...#...#.##.##.#.#..####.#..####.#.####.#.#.#.#.##............#.##..###.##.#..####.######.#########.#.....##.##.##.....#####.####..###.###.....####.##......####.#...##.######...#####..##.##.#.##....##.###.###.....##.#.#.#.#.##..##..#.#..##...######.###.##..##...#.##.#.#.#.#.##...##........####..#..#.#.#.#.#.###.#.#....#.###..#.##...##..##.##..##...#..##.#.#.##.#..###.###.##.#.....####.####.....###.##....#.#####.#.####
##..#.#..##..##.####.###....##.....#..#.........##.##.##.###.##.#..##.##..##.#....#.#.#####.####.#####....##.......##.#######..####.###.######..#.#.##....##.##......##.............#.####.##.##..##.#...##.#########.##....##...############..#######.##.......###.##..#...##.##....#######......##.##...#..#..#####.#.###.##########..###...####.##....#.#############.....##..#........#....######.##....#.#.#.#..##.####.#.##.##....###.#.#...#.#.#...#.######...##.#.###.#######..##..###.##.#..###.##.##......##.#..#.#.#####.....#.#.#...#.#..#.##.#..........#
###...##..##....#........##..########...#.#.#.#.#...#.#..##..##.#.###..##..#.#.##......##...#.....#.###.#..###.#.#..###.......##.##.....#......##.#.###.#..#.#####.#..###.##.###########...#...##..#####.#######.#.#...####....#........###...###.#....##.#.#.#...####.##.#.#######.##.#.....#.##.#######.##.#.##.......##.............##...#.#.##..###.#####......#.....#.#.###.#.#.###.###.#..##....##.#.######.#.##..#....#.##.#..#.##...#.#.#.#.####.##.###....#..#.###...##......####.##..##.##.##...######.#.###.####.#.###.##.######.##.##.##.#..#####.#.#.####
#.##.######..##...######.######..###..#.#.#.#.####.##.#.###.##..#.#...##..######..###.###.#.#.#.###.....##..####.##.##..##.#.##.....#.#.#.##.####.#.#...##.###.##..####...#..##........###.######.##...###.#.........#..##..######.##.#.....#.#.#.###.#######.##.###...##.#..###....##.############.#.##.......##.#.#.#.##.####.#.###.#####.#.#....##....###..#.##.###########.#####.#.....####..####.#..###......#.###.##.#.####.##.#.#..#.#.#.#.#..##..#..#...#.##.##.##..#.##.#.##.####.##.##..#..##.#.###.#..#...######.###.........##..##.##.##.#.###....#.#....#
#......###..####.###.###.#.##.##.#.##.#.###.####.#..###.##..##.##.#.#..##....#######..##..#.###.####.#.##..##....##..##.#..#..##.##.#.#.#.#..###..#.#####..##.....###############.####.#.#######...###.##..########.###....####.#######.##.####....#...#.#.##.####...#..###.##.###.##.......#.##.##...#######.###.#.#.#.######..###...##....#.#.#.#####.##...#####..#...........##...#.##.##....##.#####...##.###.#..##.#..#.##...#..####.#.#.###.#.##..###.##.##.#########.#..#.###...##..##..#.#####..#.#...##.#.#..##......######.####..#####..##.#...########.##.#
##.#####.####.####.......#.........#..###....##....##...##.###..###.##..##.###..#....##..##.#......###.########.##..##..##.#.##..##.#.###.##...#.#####.##########.#....#...###..#.#............#####......###.#.#####.##.#.#.....###.#...#..####.#...###.........###.#.######...##..#######.........#..#......##..#.#.#.#.#....##...#..##.###.#.###.....###.##.#.##...##.#.####.#########.###.###........#.####...##..#.#.##.#..#.#.##....#.###...#.#####....####...#.##....#.##.#...#..##..##.#.#.....####.#....#.######.#.###.........##.##.######.##.##.#.##....#.#
#####.#..#.#.......#.###.#.#.#.###.##...##.#..###.#####..#...#.##...##.###.####...##..##.##.##.#.###...#.........##.###.#..#.#..###.#.#...#..#.#..###..#.#........####.###.#.##.####.##.#.#.##..##.#.####..#....#.##.....#.#.#.#.......#.#.##....#.#.#####.#.#.#.#...####.#####.###.#.#.....#.##.#.###...###.######.###.#...#.###.#.#.##..##..#########..##.#.......#..######.....###.#....##...###.###.####.###.##..##.#..######.#.#####.###...#.#...#########...#....#.####..#.#.#.#.####..#.####.#.##....##.#.#..##.#..#...###.###.#.#........##...###.......#.####
#.....##.#.#####.################.....#.##.##.#.....##..##.########.##.##..#..######.##...######.#...#.#.#.#.#.######...####.##.##..#.###.#.####.##.##.#.############...##......##....#.#######..#.#######.####....##################.######..##.#.#.#.###.#.#.#####.##.....#...........#.#.#.#..#.#...#.#...##.#...###.#.#.#...#.#.#######..##......#..########.#.##.####....#.#.......##.#..#.#...##....##..#..#..###.##.##.....###.#.....###.#.#.###.#.......#.####.#####..######.#.#....####....#.##.#.##..#.##....##.###.#....##.#.##.#######..#.####.#.#.##....#
#####........###.#.......##.#.#...###.#.##.##.###.#####..#..##......##..##.##..#.#...##.#.###.##############.#.###.###.##....##..######...###..####.#.....##....###.##.##..####..########.....##....##......######..##..#.#.#####........####.#..#.###.....###..##...##.###.###.#.##.#.##.###.####.############...###...#.####.#######.####.########...##.##.##..#######.#########.#.##..###.##.##.####.#####...###.##..##.###.##..##.###.###...#.###...###.#.#.###.....##.#.##......####.#....#.##.#..#######.#####.#.##..#####.#..#.###........##.#...##.#.###..#.##
#..#########...########.##..#.##.##...###...###.......##.#.##..#.#.##..##..###.....#.##.#.#.....#.#..........###....########..##.##..#..#.##..###.#.#####.###.#.....##..#######.###.....#####.#####.#######...#.###.#..##.#..#.#..###.#.##....##########.###...##..#.##.##..##..#.#..#.#..##..#######.#.#.#.....#...##########.#...##........#.#.#...####.#.....###....#.#.........#..##..##..######.#...######.##...#.###.#...##.###.......###.#..##.#.....###.#####.#.#.....#####.##....#.##########.##.##.......#####..##.....#.####...#.#.#.###.##.##..#...##.#..#
##.#.#.##....#..#.......###.#.....###.##..######.#.#.##..#..##.#.#..##..####.#####.#..#########...#######.##..#####.#........##..###...##..##..........#...####.###..##.###.......####.##...#.#...........###.......##.##.##.#...##...###..#.##............##.######.######....##.#.#####..####..##.........##.###.##.......#..###.########.##.....#.#....##.#.##...##.#.######.##.##.##.####...#.#....#..##.....##.####...#####....##.#.#.######.##..##.#####.....##.#.#.#.#..#.##.##.#.##...##..#....#.....##.####.....##..##.##...####.#.###...###...#####.######.#
#..#......#.###.###.###.......#####....##..##....###..##.##.##.#.#####.##..........##..#.#......#.........##.##.......##.##.######...#..#.###.########.###.#.####.##........###.#......####.#.#####.###.#######.#.#..#.##.#..###.##.#.##..##.##.#.##.#.#.#.##...##....###.##.#.#..###...#.######....##.#.##..###.######.#.#...####.#.#.#.#######.#.######....#.##.#.##..........##.##.#.....##.##...#.###..####.##....########...##.#..###.##.#...##.##...##...#.#..###.###.##...#####.#.##.#####.##########.##....###.#.###.#..#..###.##.#.#...#..##.#.#......##....#
##.#.##.#.###...########.##.######..#.##..######.##..###..#.##.###.....######.#.##.##.##...##.#.##.#.#.##..#####.##.#..####.##.....#.#.#####..#..#.#.#.##.....##...####.#.#.##..#.#.##..##....#.#####...#.#.#...####......##.....##.#.##.##..####.##.#.#.#####.#####.##......####.#...#...#......##.#..#.#..##..........###.#.#...............##.#.#..####.#.#..###..####.###.###...####.##.#...#.#.#..##.##.##.###.#..##.##.###.##.#.###..#....#.##.#..###..#.####...####..#..#...##..####...##..##..........#.##..##.###...##.##......###.###.#.##..####.#.#.##.#.##
##.######.##..#...........###......##.##.##..#....##.##..##..#.##..#.#..##....#.##.#...###.#########.#..##...##..#..#.####..######.#.###.#...###........#####.####....#####.#..####.###....##...#.#####.......####.#.#.##....#.#..###.#...##.#....##.#.#...##...#.#...######....########.###.##.###########..#.###.#.#.############.#.##.####.#..#.##......####...#######.#.....##.##....##.###.###.#.#####......##.#.###........######...##.##.####.##.#...##..##..#.##.#.###.##.####.##...#####.###.##.#.#.##..#.##....##.#######.#.#...####..#..#####.#.#.#..###..#
#..##..######.##.#.#.#.##.#####.#.###.#...##...##.##..##..##.#.##.##.#.######.#.####.#.##..#.#.......#.####.####.##.#.##...##......###.....###.##.#.#.#....#....###.#..#.#..#########...#.#####.....##..###.#.#......###..##.#.####...##.##..##.#.####.##.#####.#...#####....####..........#######........##.#.#...#.#.#..##....##..#.#..#....##.#######.#...##.###.......####.#######.#.##.#...##..#..#.#####.#.##.#.#...###.##.#...#..#.##.##.###..####.#..##..##.#.##...#.#.##....#.####.#.........##.#.#.#..##..###.###..#.#....#.#.#..##..##.####...#.#.##.##..##
##..##.#.#.##.##.##########.....#.#...##.#####.##.##.####..#.###...#####......#.#.##.#..##.#...#.###.###.#..#.....###.###.####.##.############....#.######.##.###.####.#.######.#..###.##.#..######.#####...####.#.#.####..###.##...###..###.##.#...##.#....##..##.##.....##.##.####.#.#######.#.#.#.#.##....####.#######..####....##.#######....###.....#####..#...###.###.....##.....#.##.##.###.##.##.......#.#..#####.#....#####...##.##.##...##.#....####..##..###..#.#.#.##.#.##.#.#..###.##.#.###.#.#.##..##.#.....#.##...#.##.####.#..######.#.#...#..#.#..###
###.#..........###..........#.#.####.#####.....##.##.##...##.##..####.###.#.#.###....#########.#.#....##...####.#######.....##.#..##......#..#########............##.#.#.#.##.....##...#####..............#..##..#.#.#....##...##.#...##...###..###.##.##.###..##...##.####..##.#.######..##.......#.######.##....#.......##.#####.#..#....##.##.#...###.....##.#####....###.#.#####.###.#..#..##...####.#.##.####.###....#.#.##.....#..#.#...###..####.#...###.###...######....#.#..#.#...##...#..#...###.###..##..##.#.##.##.#####.....####.#.#......##.##.##.#.##.#
#.....#.####.########.###.#####.##.....##..#.#..#.##.####.##..##.##.......###.##..#####.#.##...#.##.#.###.##....##......#.#..####..######.#.##.......#.#.######.#....#.#.#.######.######.#.##.#.#.#.###.#.#.########.#.##..##.#####.#####.#####.##..##.##...#.########.#....##....#.#.###.##.###.###..##.....############..........#######....#..#####...#.#..######..##..##.#.#.......#.####.####.##....#.#....##.##..#.#############.##.###..##.###.#.#.###.....###.##.....#.##.#.#####.#######.##.####....##..##..###.##.##.#.....#.#...##...#.###.##..#...######.#
###.#.#..#####...############....###.###..####.##.##.#....##.##...#####.###...#..####........#.#..#####.#.##.##.###.#.#.#.#####.#####.......#####.##.###.##.....####...............##.##...####.#.#####.###.#.####...#.#####..##......##..#...#..##..#..###.####.###.############..........#####...#.#########.#..........##.##.#.####.#.##.#.#.##.....#.###.##......####.#..#.####.#.#####...##....##.###.#.#.###..########.#.#.......##.#...#####.....#...###.###....#.#.#.#..#.###.#.#.#..#.....####.##.###..##..##...##..####.#.##.#.#..##.##.##...##.###.##.....#
#...###.##..####..............#.##.....##.#.....#..#.##.#..#..##.##.....#...#######...#.####.#.#.###......##.##..##.#########.#.##..###.#.#.......#..#####..#.#.##...###.#.#.#.#.#.....###.#.######.....##..#......#.#.#.....##..#.#.##..####...####.#####..##.#......#.####.#..#.##.#####.##....#####.......#.######.##.##..#..###.........#.#..#.##.##.##..##.##.#...##.##.#.#....#..##...#..##.####..##.#.####..##.#.#.#......#.##.##..###.##....#.#.#.#...######.#.###.#.##.#.##......##...##.##........##.##..###.#..##.#....#..###.#.###..#.##.#..###......#####
#.###....##....#.##.#.##.#.#.##.##.#.#.##.##.#.##.####..#.###########.#####.#..##...########.#.#...##.#.#.##.##.######.##.....#..##.#.###.#.#.###.##.......##.#####.##...#########.#.#...........###.#.##..#####.#.#.#.##.#.######.#..##.#....#....####.#..##....##.#........##.######........##...#########.......####...#####.#...#.#.#####.##.###..#..##.#########.##...#.###.##.####..#.##.#.....##.##.#.##...###.....#.##.#.###..#####....##.#.#.###.##.##......#..##.#.##.#.##.#.#.#####.#...##.#.#.#.##..#####..##.##.#.##.#.##...#...#.##.##.####...#.########
#.##..#.##..##...##.########.##.##.#.###..##.####.#....##.#.#.#.##.#####.#####....###........#.#.########..#.#..#.........###.##....#.....#.###...#..#.######.##..#########...#..#####.#.#.#.#.#.....########....#######..#..#.#...#.#######.###.#..##....################.#.....##.####.##.#.#..###.#.......#.#.#...###.####.#####.#.###.....##.##..##.##..#..#......##.#.#.#####....##.##.##.##.##.#..#..#..###...###.#....#.######.....##.#..###.#.#...##.####.####.#####..#.#.##.###.##.####.#.#..#.#.#.#..####...##...#.#.#..#..##.##.#.#..#.##..##..###........#
###..######..##.##...##......##..###...#.##.....####.#.#..#........#.#.....#.##.#...###.#.#.##.#####.#.###.####.#######.#.###.#####...##.##.#...#.#.####.##....##.##.##.#.###.#.###.#..#.#.#.#.#.#.#.##.#.#.##.#.##......###.#...#.#.##.......####.######..#.#####.#.##.#..#.#.#......#######.#.##.....###.#.#######.#...##....#....###...#.#..#..##..########.####.#.##.#####.....#.#####...####..####.##.#.##...####..##.#.#####....##.##..##.##..####.##..#.....##..#.#...##.#.#..##..#.......####.###.#.#.##....###..###.#.##.#.##..####.#.##.###.###.##..#.######
####.#......##..##.###..####..#.##...#.###..#.#..##..#.##.#.##.###.#.###.#......#.#..##.#.###..##.............#####.....###.....#...#.###############.#.....####......#.........##....####.#####.###.#.........####.##.#.#.####.####.###.#.#.##......####.##..............####.##.###...##.####..####.##...#.#.........####.##.############.#.##.####.#...###.......#.#..##.######.#..#.########..###...#..#.#..#.##.#####.#..##...##.##.###.##..##.#.....##.##.#.####...##.##..#.##..#####.####..##...##.#.#.#..##...##...#.#.##.#.#..##....#..###.....#####.#.#....#
#..#######.######...###.##...######.##.##..####.#################.....#########.#.#.##..#.###.##..##.#####.#.####.####.##...#.#...###.#.##.#.#.#.#.#....#.#.#....##.#.#.#######.#######.#...##...#...#.#.#.##.##.....#.###.#....##...#...#.#..##.#.###.....###.##.#########.#######.###..#......##....##.#.#.##.########..####.######.......#..#.#....###.....#.###.#.##.##........#.##..........##...#.##.####.#.#........#####.#..###..#....##.##.##.##..#.#..#.##.##.##...#.##.###.##....##...###.#..###.####.##.###..###.#.#..#.##..##.#.#.######.#####.#.###.##.#
#.###......##.##..#.#...###.##.#.....#.#..##......####........#.##.####.#.###...#.#..##.#.#...#..######....###.....#.######.#.#.#.#####.#..#.........##.#.#.#########...##..##..........##########.#.###.#.#...#####.###.....##.##.#.##.#######..#.###.#.###.####.#...#..##.#.##.#..####...#.#######.#####.#..###...#.###..#..........##.##.##############.##.###...#.##.###.####.##..##.#.#.#.#..#.###.##..##..#.##.##.#.##.....##..###.#.#.######.#..#..#####.#..#.##.#..#.####.#....###.###.#...#.##.##..##...##...##.#####.#.##.##.###.#.#.....##..##.........####
#...#.#.##.##....####.#.#......#.##.#####.#########..########...............##.##.#.#####.#.#.#.##......##...###.#........#.#.#.###..##.##...##.#.##.#..#.#.######.###.####....##.#.#.#.###..#.#...#.##..#.##.##.......##.#.##..#..#.#.....##...##.#...#.##.......###.##.#.......##.#.##.#.#.###.#.###.###.##.#...#...#.##.###.###.##.#..#.....##..####.#..#....###.#.##..#####...##.##..#####.##.#...#.###..##.#########..#.#.#.##.##...#.#..##....##.##..##.#.##....#.#.######..##.#.#...##..#.#####..#..#####.##.#.#....#####.##.#..##..###.##.##..####.#.##.#.#.##
#.#...#.##.##.#.###...#####.#.##.#....##......###.##......#.#.##.#.#.#.#.##....##.####.#..#.#.#.##.##.#..###########.####.##########....##.#.#########.##.#.#........########.#########...##...###.#..##.####.#..##.#.#########.##.#.##.#.##..#.##.#.#.#.###.#######.....#######.........#.###.............##.##.####..........##..#..#.###.#.##..##......####.##...#..####.#.###.######..##....###.#.#..######..#.##.....######.##.##.###.##.##.#.##..###.##....##.#.###......##.########..####....###.#.####...#..#.##.#.....#..#######.###...#.##.##....####.#....#
#.##.##.#...######..####....#.##.##.#####.#.###....#.##.#.....#..#.#.#.#####.#..#..##....##.#.#.#..##.##.##.##..#.####.#...#.#.##....##.######...#..####..#.###.#.##.##.##.##..##.......#....#.....#########..#.##..#.#..#.##...##.###..#..##.#..#########...#..##...###.....#.####.#.##.#######.#.#.##.##.##..###..#######.##..##.##.###.#.#..##..#########...##.#.#.##...........##.##.##..#.###..####.#......##..#####...#.#..##.#..##...#..###..##...######.##..#.##..##.######.#.#.##.##....##...###..##..#.#.#####.#.###.##..##.......##.##..#..#.##.##...#.#.##
###...#.##.##......##..#.##.###...#..#.#..####..##....##########.#.#####.....#.##.####.#.#..###.##.##.#####.###...#.##.###.#......#.##...##..###.##.#.#####.##..#.#...........####.#.##.##.#.##.#.##.........######.####......#.##.####.########.##.#.#.#######.####.#...#.#........#..###.......#.#..####.##.##...##.......##.###.#..###...#.####.......#...#.##.#.###..####.#.##.....#..##.#.#...####..###.#.####.##....###...##..##.#..#.#.##...##..####.....##.##.##.##..###.#..........#.#.####.##...####.#.#.##....#..##.###..####.####...##.##.#######.########
####.#####..####.#..##.###....##.##.##...####..##..##.##.###.....###.....###.#..#.##...#.#.##...#..##.#.....#.###.#.#...##...##.#.######.#..##.#......#.###.#..######.#.#.#.#.##.#####..##.#.####.##.###.##.##......##.##.##.##.#....##...##.#...#........#.#.#.#.#..#.#.#######.#.##.#####.#.#.##.#####.#######.#..#######..#.##..#.##...#.#.#.###.####...#.#..#####...##....#..##.##.#.##..#.###....#.##...#.#.......#.##...#.##.###.##.#.#.###.####.##.#.##.######.##.###...#.#.##.##.#.####..##..#..#...##.#.#.####.###..###...##.....####.##..####..............#
#....##..#.##....#.##...#..##..####.#..#....##..########.....###...##.#.##...#.##.####.#.#####.##.######.##...........#....#..#.####.###.##.##.######.#.#.######.#.########.####..#.##########.#..######..#######.#.##....##..#.##.###..###....#.###.####.#.....#.##.###.#.......#..#.##....###.#...###........####.#.#.....##..##.#.####.###.#.....###..#.#.#####.###.##..##.##.##..#.#..#######..#.#######.######.#.##..##.####..#...##.###.#.....##.#....#....##...##...##.##.######..#..##..####.#.##.#..###.#.#....##..###..####.###.#..#..##....####.#.###.#####
####..##....########..#.#.####....###.##.#.##..#####.....###.#...###..#####.#######....####.....####.#.###..#.######.###.#.#.######.............####.......#.###.#..##.#....#..##..............##..##....####.....#..##.#.#..##.#..##..###..#.##########....###......#...##.#.#.##.##.##.##.##..#.#...########.##.......###..#.##..#.#.....##.###.###...##.######...#...##.#...###..#########.....##..##.......##...###..##..#....###.##....#.##.##..####.#.##.######.##.#.##....##.....###..##..##..#.#..#.####.#.##.#..##.#.##....####....###.#..#.##.####.###..##.#
#....####.#.#........##...#.##.#.##...##.#..##.#.....###.##..#.#...##.##.##..###.#####.##...##.##....#.#...##.#......#...#.#.#.##.####.##.#####....####.##.......##.#..###.###.#..#.##.#.###.#....####.#.#....#.#.#######.#.######..####.####.#.##.#.....#.##...####.#.#.#########..#.#..##..##.#.#.########......##.##.###.##.#..####.#.######.###...#.##.#......#...#.##.##.##...##...#...#####.#..######.#.####.##...###.#####.#....##.#.####..##.#..######...##....#.#.##.##.#..###.#.##..##.##.##.##.#....#########..#.#....#.###.#.#.###..#.#####.#.##...#.##..#
##.#.#....######.##.##..#...##.####.#..#.#.########.##...#######.#..#.#.....##.....#.#####.###.#####...##.#############.##.###.......#.#..#.....##..############.#....##.#####...##.#..#.##..##.#.#.#..#.########.#.......#....#.##..##.......#......###.#.#..#..#########.#.......#####..#####.#.#.#........##.#.##.####...##.##.#....#.##.##......#.#######.#.#.#.###..###...##.##..#...#.......#.##......##########.##....##...##.###..#..##..######..#.....###..#.##.#.#...####..##.#....##..##.#..##.#.##...##.#....##.##.#.#.##....#...#.##..###.......###....##
#######.#.##.....####..###.###....#.#.######........#..#.#.......#.##.#.###.###.##....##.###...#...###.##########........###########...##.##.#.####...###.#......####.#...#.#..#.#####.#..##.##.###...####.#.#....####.#.##.####....##..##########.#.#...#.##.#.##.##.#.#..##.##.#...#.######...#.#.####.#############....#..#.############.###.########.###..#.###.##..##...#.##.#..######.#.###.#.#######..####.##.#..##.#####.###..##.##.##..###.#.##.###.#.##..##.##.#.#.####...##..##.#..##..#.##.####.######....#.#####..#.#.###.#.#.#.####.##...###.#...#.#.###
#.#.....#..###.#.#....##.#.#...#.##.#.##.....###.##.##.#.#.###.#.#..#.#.##..#...##.##.....####.###...#.#.#.##.#.##.###.#.#...##....##.##########....#.......##.#..###.###.#...##....#######...###...#..##......#.##.##.#.##.##...##.##.##..#.#.###.#.#.#.#########.##.#.##.#..##.#.#...##.....###.###....#..##.#.##.##.##.#.####.#.####.#.......#............##..##..##..###.#..#.####..#...#.#...#..##.####..##...#.#.###.###.#.#.#.##..#...##.#............#####.##.######..##..#.###.##.##.##.#######.....#######.##.....##.###.#...#.#.#..#.####.#.##..#.#####...#
#.####.###.#...######.##...#.#.######..##.##.#...#..######.#...###.####..######..########.#.######.#.......##.#.####...#####.#####.#....###.#.#..######.##.###.##...........#.#..##.#.#.##..#.#...##########.#.#.##....#..#..##.###..#####.........#.#.#.######.....#.#......#######.########.##..##..##.##......#.....##.#..##...........#.###.###.###.####.###.##.##########.####.###...#.###.#.####.......#####.....#.###.....#...##.###.##..########.###..##...##....####..######.#.#...#.##.#.#.....#.#.....##..#..##########.###.###.##...###..#.#####.....##.##
#..###.##..#.#.##......###.#.#.....##.###.##.########....#####.##..##...####....##..#.##....#.#....##.####......#.#..#...###.........#.##.#.....##.#.#######...###.##.##.#.##.#.##..#.#....##.###.#..........#.#..###.##.##.#####.####..######.###.#.#.###.##.#####.#.####.#.#........##.#....#..#######.#..####.#.#.#.#..#.##..##.#.#.####..#####...##.#.....##.#..##.#........##...###.##...###.#....#####.#.##..###....###.##.#.#..###...##.####......###.##..#..##.#.#....##........##.##.#....##.##.#.##.##..##.##....#.##....##....####.#...##.#.#.....#.###...#
##.#....##.#.#..####.###...#.##.####....######....#####.###.....##..###.##...#.####...#####.....#.##..#....#.##.....######.#######.#.#.#....#####.........######.#########.##.#..##.#...##..################.####.######..###.###..#.##........##..#.###...................#####.#.#.###...#.###.#.#...######......#.#.#.##..##.#..#.###....##.#.###.#..##.#.##..##.#....###.#.#####.#....#.#########.##.....#..##.#...####.########.#####.##..##.##.#.#.#....####.###.###.##..###.#.##..#.##.#.#.###.##.#.#...#.###..##.#....#.#.####.###....#.#.####.#.#.#.#...###.#
##...#.##..#.##.####...#####..#....#.##.#..##..##...........##.##..##...#..#.###.####..###..##.###########.#.#..##.##......#.##....#.#.##.#.##.###.######.#.#.#............##.#######.###..##....#.#...###......###......##...#.##....###.#.##.###.######.#.####.##.#.#.##.##....#.#...##.##..####.###..#.#####.#.####.###..######.#.####.####...########..#..##..######.#...###.##....##.#..##.#.....#..#.#...#####.#.##......##.##.....#####.#...###.#.#.#.##....##...##.#..##...#..##.#.##.#.#...#.##.#.##.##...#.###.#.######.#....####.#.#.#..##..#.#.#.#.#.#...#
#..#.####.##.#..#....#.#.....##.##.#.##.##....###.###.#####.##.###..############..####.....#####...........#.##.##.##.####......#.##.########....###............#.##.###.###....##.#######..####.#.#.###.###.####...###.#####...####.##...#..###.#####.########...##############.#.#.#.##..####....#.##.........#.##...##..##......#.#....#....#....#.##..##.##..##..######.###.....##.##.#.###...#.#.####.#.#..##...#.##.##.#.......###..##...#.#..#..#.###.#####.##.#..####.###.##.##..#.##.###.#.###..#..#.##.#.####..#.####...##.#....#.###.#.######.#.#.#.###.#.#
##.###....#####.###.##.#.#.#..#.##.###...###.##...#...#......###...##..........#.##....#.#.#.##########.##.###...####.#....####.#..####.......##.#####.##.#.##.####..#.....##.#.#..........##.............#....####.#...#..####.#....####.####....##...#.##.....###..#.#.#.......#.######.##....##......####.##.#..##.####..######.######.####.####....#.#####..####..........##.#.##..##.###...##############.#####.#..###..##.##.#..##.####.#####...##.#......##.########.#.#.########.###..##..#..##.###.#.#..#.##...##....###.#..##.###...###.##.##..#.#.#..##.#.#
#....##.#...#.#####.##.#.###.##.##...##.##....###.#.#.#.#.##..##.#..##.#.##.##.#.#..##.#####.#.#..##.#..#####..####.######.#....#####.##########.......##.###..#.#..####.#.##.#.#################.#.#.#.#...##...##.#####.##....###.##.#####.###.#####....##########.......#####.###.......##.#####.#####.#..##.##..#.#....####.##...##....###.#....##.......##.##.###.#.#.###########..#.#...#.#..#......#........####.####..###..##..#...####.....#.#..##.#.#.#....##............##......##..####.##...##.#.#.####..#.##.##...#######.###.#..##.##.#..##.#.#.#####.#
#.#.##..##.##.......##.#.#....#..##.##..#..#.##...###.#.#..#.##..#.##..######......##..##......##......##.....###.#.##.....#.##.###....##.#......###.#.#...#####.#.##....#.##.#####.#.###..##.....#.#.#####..#.###..##....#####.###.##.#.#.#..#...##.####...#........##.##.###...##..#.#.###..##..###.......##...##.#.##.####.#....#.##.#.##...##.#####.##.#######.###.###...##...##...####.#.#.##...#.##.#.#.########.....#.####.####.#.#.#.####.#.#.##.##.#.####.#.###.#.##.##.#..###.##.#..###...##.######.#.#....##.#..#..#.##.#......#.#.##..##...#####.#..##...#
###.######..###.#.#..###.#.#.##.##..######.####.#..####.##.####.##..##.###..##.#.#.###.###.###.#..####..###.#.#........#.#.#..###.####.#....####.#...#.##.##.......#..#.##.##.##........#.##..##.##.#.#.....##...##.###.#.#............#...##...#.........#...#####.##..##...###.##.######...###.##########.##.#.##.#.##.###....#.##..###############.#..#..##.##......##..#..###....#...##.#.#####.##.#..###....###...###.###.....##..#.#.#......#.#.#..####.##.###..##.#.#..##.#.##....#.##...###.##..#..##.#.#.#.######.##.#.##...##.#####.#####..#.#.##..##..###.#
#####.#....##...#.#.######.#.##.##.##.##......######.##.#..#....########...#####.#.#....##.#.....############.##.#.#.########.###.#......#####...###.#.##.######.#.##.#.##.#..##.##.###...#####..##.#.#.##.###.###..#.###...#.#.##.#.#...#....#.#.#.##.##.#.#.##....###.#..###....###.#.###.##.#.##.####....####..###..###...##.#..#.###.#.####.#.......##.##.....##.#..##.#.##.####.#.#.##########.##.##.....####...#..##.##..#.#####.#.#.####.#.#.####..##..#......###.#.##.##.###..#.####..#.##...##...#####.#.#.#......##.#..###.#.....##...##..##....##..#####..#
#..##.###.##..#.#.#.##.....###...###.....#.#####.#......##.#.##...###.#..#..#....####.#.####.##.##....###..##.##.######.#.#.###.#.####.#.#.....#####.#.####......#..#####..##.#######...#..#.#..##..###.#..##..#.####.....###.#.#..#####.#.##.#.#####...###.#.#..#.##...#.###..#.##.....#.###....#.......##..####...######.#.#..#.##.#..........####.##..#..#.#.#.#..#.##..###.......#.#....##..##..##.####.#....##.###.##.##.##...#.#######....#.#.##.#.##..##.##.#...######.#....##.#.#..##.#..##.###.#.#.##..#.###.#.##..#.#.##...##.##.#..#.##.##..##..##..##...##
##........##.##.#.#.##.#.#...########.##.#...##....##.####.###..###.....###...##.##...###....##.#####.#.##.##..####.#.......##....##.#.#.#.#######.###.#....#.##.#.##.....#####.......#.##.....####.######.###....#####.#.#...#.####.....#.#..#..##...#.########.#####.##...##.#####.#.##.######...#.##.####....##.###.#.#.####.#########.#.###......#..##.##.#.#.##.#.###.#...#.#.#.####.#.###..##.####....#.#.##..##...###..#..###..#.#.###.#.###....#######...###.#..##....#.#.##..#...#####.##..#...#....##.#########..##.#..##.##...#.#.#######..####..#.####.###
####.#.#.#####..#.#..#####.#..###.....##.#.#####.#..####...##..##...#.#...###..###..#...##.#.####...#.#.#...######....####.######.#..##########....#############.#..#######.###.###.#.#..##.#.#######......#...##.#.########.########.##.####.#.##..#.###.##.#....##.#.#..######.....#..#.#.#.########...#.##.#.##.#.....###.......###.#..####..#.##.##..#.##.#####..#..##.###.########.#.#...##....#.#..##.#.#.##.####.#####.##...##.........#####.#####......#.##..########.#.#..##.#.#####....##.#.#.#.#.##...##.##.###.##.#.###.##.#.#.#.......##....#.##.##.#.#.#
#....#.#.##.###.#.#.##.....#.##.###.#.#..#..#.#..#.###.#.#..##.####.###.###...##...##.###..###....#.......######.###.##.....#.....##.##.##....####.#.##....#.#...####.......#.####..#.##.#..###.##.######.##.#..#.#.#..#.#.#.#.#...##.#..##...#..####.#...##...##..#.#######.##########.......#.#..####.##..#.#.#..##.##..##.##.##.#...##.#....##..###..#####.##.#####.###.#...##.........#.#.#..#.##...##..###..#.##.......#..##.####.#.#.#.####...###...##.#.###..##........#.##.####..#.#..#####.#####.#..##.###.........#.#...#..###.###.###.#####.#.#..###......#
#.##.#.#.#......#.#..#####.#.##.....####.#.##.####.#.....#.#####.#####..##..######.#..####.######.#######..##.........#####.#####.#..#...####.###..#.#####.....#.##...#.###........########.....##........#..#.####.##.......#...#....#.#####.#.##....#.#....#.###....#.###....####...###.#.#.....##....###...#.#.##..###....##..###.#....###.###.##...##.#...#........#.#.###.#..#.###.#.########..#######...##.#..##.#.####.##..#....#.#.###....#...##.##..#..###..##.####.####.....##...#.###........#.#.##..##..####.##.#.#.#.#.##...##....#######.#.##.##..##.###
###..#.####.##.##.#.##.....#.#..###.#....#.##.###..#.#.#.#...##....#.##..######.#######.####...######.#.##..###########.......#.#.##...###..#.#.##.#.#.#.##.##.#..#######...##.#.#.#....#.##.##.#####.##.##.##..##..###.##.#.#.#.########.###.######.#####.###.#.#.#.##...####.#....#.....#.##.##....##...###.#.#..##.#...#.####..#####.###.....#.####.#..#######.##.#...#.#...##.#..####..##......##.......####.####..#...####..##.##.######..##.#.#..#.###.##.#...##..#......##.#.#.#..#.#.#...#.#.#.##.#####.#####.....#.#.#.#.###..#..##.####..##..####..##.##..##
#...##.##....#.##.#.####.#.###.##...##.###.##.#...##.#.#.#####..##......##.......##..##...#..#..###......#.##.#.#####.#####.#........#..###..................###.####.....###..########.......#.#......###..#..####..##.#..#.#########.#.......##.####.#.#.#...#...#.##.#........##.####.#########.#..##.##...#.#.##..###.#..#.##.#.#.#####.#####.#......##.......####.#######..####.#....#####.########.#.##....##...##.#....##..#.#..#......#####.#.##.#....#####..#.###.#.###..#####.######.#.#.#.######.....#.#####.#.#.#.#.#...##.#.##.......####....##.##..##..#
##.########.##..###..##..#...#.##.#.#..#####....#.######.#.....##..####.###.####.##.##..#.#####.#.######............#.#.....#.####.####.#.######.####.#.###.##...##...#.#..######.#.#...##.#.#####.#.#########.#.###.#..#.#####.##.......#.##.###...#......###.##.##.##.#.#.###.###.#.....##.##....#.##..####.###.##.####.##.#.####.#.###.###...#####.##.##.#.##.##.....#.#..##.##.#.##.#..##...####.#...###..#.########.###.##..#####.#####.##.....########.###.#..##.#...#...##...##.......#.#.###..#.#######.#....#..#.#.#.#.##.###.#####.#.#.##..##.###...#.####.#
#....##.###..##.##..####.#.#.#.##.#.##.#..###.###.#.#....##.#.####.#......####...##.#####.#.##..#.#.###..#.##.#.#.#.....###.###.....##......#.####....#.#...####.#..#.####.#..##....###.##.#...#.#######.#.#.###.#.#...##.#........##.##.###..#...#.##.#.#####..#.#..##########...###.#.#.#.....##.#.###..##..##..#####....###.#.##.......##..#..##....######.#..##.#.#...##.####....#..##..##.##......#####.##.##.........#####.#.#.####.....#.#.#..##.##...#.....###.###.#.#.#########.##.##.###...##.#.......####...####.#.#.##.##...##...#.#..##.##..###.##..##..#
#.#.##......##..#..##.####.###.#######.##.......#.#...##.#..###.####.######....#............###.........##.#..###.#.#.#.#...##..#.#####.#.#...#.#..#.##.##.##.#..##.####.#.##....##.....##.##.##.....................#.##.#.###.##.####....#.######.######.....####.##..........####..#####.#.###..#...##.#######..##...#.####.#....#.#.#....###....##.....#####.##.#.######.#.#..##.#.#########..###.####...##..###.###.#....####........##.####.#.###....#.#.###...#.#...###.......##..##..#.#####.#..##.##.#.#....#..###.#.#.#...##.#####.###.##.....##....######.#
#.#####.##.##..###..#..##....###...#.#######.#.##.#.#.#..#.##...#.####....########.####.#.#..#..##.##.####.#.##...########.####.#.##.##.#####.....########.##...#######..##########.#.#.#...#..##.#######.##.#.#######..#.#.##..#..#....#.##.#.......##....#.#..##..#######.#.#.##.#.###.##.#.##..###.#####.#..#..#####.#.##.....#.##.#.###.##...##..#.##.##...#.#..#...##.......#####.##.....#..##...#....#####.#....##.##.#..##..#.##.#..###.#..#...##.#.#.#..##.######.##...#.##.####..######.......##..#..#.###.###.#.###.####.###..#.##.#######.##..##.#..##.#..#
#...##..#..#####.##...####.#..##.#...#.......#..#.#.###.#####.#.....####.##.###.####.#######.#####.##.##...#..##.##..#.....#.#######.#####....###..##......##.#..##...##..........#.#.#.##.##.##..#.......####.##......###########.##.#.##########.#....#.####.####.#.......###.##...##.....#..##..##..##...##.##.#.....#.##.#.##########....##.##..##.#...#.#...##.#.#######.#.##..#...#####...####.##.##...##..###.###.##.##.##.#######.###....###.#####.#.#.###...###..###.##.##.#....####.#..##.#.####.##.#.#####.#.....#.##...#...##.........##.##.##..##....##.#
#.#####.##..#.##..##.###.###.#######.##.#.#.##.############.####.##......##............#.....#.#....#.#..###########.####.##.#.#.#.#.#.#.####...##.##.#.##..###.#####..##.##.####...#.#.##.##..#.##.#.###..##..#..##.#..#####.####.#..#..##.##.....#.#.##.#....##...#####.#..##..##.#####.###.###.##..#####.#.....###.###.#..#..##...#.#..#.##..#..#####.######.#####....##...#.###...####....#.##...##.###.##..###..##..##..#.##.#.......#...##...#...###.#.#.#.#.###.####.#.#####.#.#.##......###.#.##.#..###.#.#.....#.#######.###.#####.#.#.#.##.#..##.##..#.##..#
#.....#####....##......#.#...##.#....####.###...##.##....#...#.#########..############.###.#...#.##.#.##.##.###.#.#.......##...#.....#.#......#..#..#####..##....##.##.#..##.#....#.#.#.##..##.###..#.#...####.#.#####.##.#.....#..##.##.##..###.#.#.#.#######..###.##....##..########.#....#.##...##.#.#.....#.#.##...####.##.#####.....######.##....##....##..#.....####..#.#.#...#.##.######..###.##.#.#.###.##..####.##.####..#.#.#.###.#.###.######...#####.......##.........###.#..######...###.##...##...#.#.#.#.#....##.#..##.##....###.####.##..#.#..##.##.##
#.#.#####.##.#..#.#.#.##...#.##...##......##..#.##.#####...###..#..##..##......###.....#######....#.######........###.#.#..###...###.....##.#.#.##.###.###..#.#.##.......#######.##.#.###..##..##..##.###.##...#.#.....##.#####...##########.#.#.#####...#.#...########.#.##.##..........#.####..#..###.####.##.#..##.##....#..#..#..##.####.#..###.#..##.#..##.#.#.#....##.#######.####........##....#.#....##..#.###...##...#####.#.#######.#.....##...#.######.#.##.####.#.#.#.##..##.##.....#.#....#.#.##.#.#...###.#.##.##...##...##.#...#..##..##.##.##.##.##..#
#.###...#....##.###.######.#.##########.#.##.####.....#..#.#.##.##.###....#.##.#...#.#....#.#..#.####......######..#..#.#######.###..#.###..#.#.##.#.....#.####.##.#.#.#...##....##.#..##.####.###..########.#.#####.#.#....###.#.##.##.#.##.#...##....#.#...#..#.###.############.###.#.#.##...#####........##.#.##...##.#.##.##...##...##....##...##.##.####..#.#.##.#..####.#....##.##.#.#.#.##.#.#####.#..#.##.#.###.#..#...##..####......###.#.##.#.###.#....#..#.#....###.###..#######.#.#####.#.#.#.##.#.#.#.##..#.#####.#..##.###.###.##..##..#.##..#.#...##.#
#..##.#...##.##.##..##.....###.#.#.#....###...###.###...##..........####.####....######.#...##.#....######.#######...##.#.....###...##...##.###..#####.#...##....#######.#######.##.#.##..#.....#####........#.##....#.#.##.....#.#.......#....#.###.#.#.##.##.##......#.#.##.#....##..###.####.#...######.#.##.#..#.#############.####.######.#..#.##.##....##.#.#.#..##.##.....#.##.....#.########...#.#.#.##.##.#.....#.###.###.###.#.####.##..#.##.####....#.##.#####.#.##....##...##....#....##.#####..###.###..##.#.#.#.###.##..#.....#.##.####.#.#..##.##.###.#
#.##..#.#.##..#######..#.#.##........#.#####.##.###...#.#..####.#.#......#.########.#.###.#....##.####.....#.......#..#######.#####.#..#.#....#.###....#.#..##.###.......#.##.....#.#..##.##.#.##.#########.##.##.#.###########.#####.#.#...##.###.#.#.####.##.#..##.#..........##..##.#....##..###........###..#.#####.##.##.##.#.#....#......##.#.##..##.###..###.##..######.#.#####.#.#####.##.##.###...#..#..###.#.#.#..##...###...###.##.##.##.##.##...#.##.##.##....#.#..#.####.##..#.##.#######.....#########.##.#.......#.#..##.#.###.####....#.##..###..#.#.#
#.##.##.#####.##......##.#####.##.####.#...####.#####.####.#....####.##.##.#.#.........#..##.####.#..###.#.#######.##.###...........##.#.##.###.##..#.##.#.########.##.#.#....###.###.##..#..####...#.#.....##.##.###.#.#..###..#.....####.##..#.....#.###...######..##.##.#.##.#..######.#####.#...#.##.#.##..####.#.#.#..........#.#.##.#.#.###.####.##...#####....##.###.#..#.#.....####............###.####.##...#.###.##..#######.##.....##.##..#.####.#.##.##..###.#####.###..#.#..##.##.#######.#.#.##.#......#..#.#.###.#.####..#...#....##.###.#..#####...###
#.####...##....#.#.#.##..##....#..#....#.#......#.#...##.####.#.#.....####.#.#########.########.####.#####.######..####.####.#.#.#.##..#.##..##.##.##.##.#.##.......#..####.#.#....##.###.#.##....#...#####.##.##.##..#.##.#.#.########....##.###.#.##...###.##..###.####..#######.#..#...####..#####.#..#..##..###.#.#...##.#.#.#.###.#..###.#...##...##.#..##...#.##..#.....##.#.###..##..#######.##.###....###..#.###...###.#..........###..#.#######....####.#..####.#.#.....##.###.#####.....##.#.#.###....###.##.##.#..####.#....###.##.####...##.#.###....#####
#..##..#######.#.#.#####.##.#.##.#########.##.#.....#.#.......#.####.##............#.#.#.##.#.#.........#..#....#.##.#.......#.#######.#.#..#####..#..##.#.#..#.##.##.##....#.##.####.#.#.#####.#.###........#..#####...........##......##.##.#...#.#..####...##.....#....###.#....##...#.#.#..##.....#.#####..##.......#.##.#.#.#.##..##.##..#.######.##.#####.#.#.##.######..#######.####.#........#.#...#.###########.#...#.####.#.#.#.#...##...###...##....#.##.#..###...#.####...#.##....#.#.##.######..#.####.##.#####....####.#..##.##....#.#.####...####.....#
#.##..##..#....#.#.#...#.#..#.##.##.....########.#.####.##.####.#.....###.##.##.##..............#.##.##.#######.####...##.##.####.#.#..####..##...##.###.#.#.####..##.#..#.####.....#.#...#.....#.#...#.###.##.###..##.#.##.#.#.###.##.##..##.########.##...#.####.#.###.##...#.#.####.##.#...##..##.##.##....#####.##.####..#.#.#.###.##.#..##....###.##.#.....#.#..####.....##.......##.######.###.#.###.#.##...#.##.####.#####...#.#.####.##..#...######.#.##..#.##.####.##......#.#####.#.#.####........##.#....#...##.##.#..##..##.##..##.###.#.#....#.##...#.#.#
#.##.####...#.##.#####...####.##.###.##...##.#...###.....###....####.##...#########.#.#.#.#.#.########...##......#...###########......##....#####.##...#####.#.###.##.##.#.#....#.############.######.#.#...##...##....#..#####...####.###.##.##.......#..#.#.#....#.########...#...#####.#.#.#..###.#..#..##.#.....#..##...##.#.###...##.##..##.###....####.#.##.#####.##.#.####.####.#...#.#######.#.##..#.##.#.......#....##...#.#.#.#....##.##.###.##...####.####.......##.##.#.####..###.#....#######.##..##.###.#.....#.##.##.###.#..###.##########.######.###.#
#.##..#.##.##..#####...#.##....###...#..#......#.#############.###...#..###.#.......###.#########......#....####...####.##.###.####.#..####....##.###.###.####.....##.#..#.##.#.#..##......###.#......###.#.###.######.#.####...####.###....#.#..##.#.#########.##.#.#........#######...#.#.#.#.##...##.##.########.#.####.###.#.#...#.#########...########..#######.#.....#.#....#....#.#...........#..##.#######.#.##...#.#####.#.###.##.#..#.#####.....#..##...##..#.#.#.##..#.#......##...#.#####.......####....###.#.#.###..#..##..##.##....##.#.##..#........#.#
###..##.....#.##.....#.#.###.#..#######.####.#.###.#..####...###.###.#.###....###.###...##.#.##.###.##.#.######..####...............#.##....##.##...###........##.###.##.########.##..####.#...##.#.#.##..#...####.#...#.##...###.#......#.#####.##.###.##..#############.###.#..######...#.#.###..#########.#.########......#.#######..##.####..########.##.##........#.#.#.##.#.#.#########.#.#.#.###.#....##....#.#..#.#...###.#.########.####.....###.##.#..#####.#.###.###.###.##.#####.####.....###.#....##.####..#.#...#.###..#.##..#..##.##....#####.##.#.##.#
#...######.##..#.#.#.#.#.#...#.##.......#....#.#...##....#.#..#......###...#.############....##.#.###########.######..##.#.#.#.##.#.#.#####.##.##.###...######.#..#.############...##.##.....#.##.#####..###.##....###.#####.##.....#.##.#..##.#######.....##.##.##.##.##.#...##........#.###...##.#...............######.####.##......##.......##............#.#.########.###..#.#.#.........#.#.####..###.####.#.#.#.##.##.##...#....##.....##..#.#.##..#..#.####...###.....#.########.......###.#.####.##.###..##...##.#.###.##..##..##.##.##....##..##.#..###..#.#
#.#.##.....##.##.#.#.#.###.#.#..#####.#.##.#.#.###.#..#.#####...#.#.##########......#.##..##....#.###.#.#......##..#.############.#.#..##....#.#...#########...##...##.....##.#..#.######.#.##..####.#..##.#..##.#........########.##.#..#.###..#.##.###.#................###..#######.##..##.#.########.##.#.####..#.#...#########.##.######.#..##.###.##.##.#.#.#.....#....##.###.##.#.######.#.#....##......#####.###...######.#.#.##..##.####.#.#..#.###.#.#....#...##.#.##.......####.##.##...#.#....##...##.#..#.##.#...#####..##.##.##.##.#.####.#....###..####
###..##.#.##..##.#.#.####..#.#.##.....##########.....##...#.#######.#....##########......##..##.#.#.#.#.######..##...#.##.#.....#####.####.######.##.###.....###..#..#####......##..##..#.####.###.....###...######.#.#####...#....##.##.###...##.##.#...##.#.#.#.#.#.#.#####.#####....#..#######.#.#.....######.##.....#.....##....##.#......##.####...##..###.#.###.#...##.#####..##.###......####.#####.#.#.#.....###.###......#####..##..#.######.##..##.#.##.#.##.##..#..##.#.##....#.##..##.#####.#.##.#.#..#.##..###.#...##..##..##.#...###.#.##.##.#...##...##
#...#####..##.####.###....####.###.#.####...#.####.#.####.#.#.#..#######.#.#.#.#....#.##..##.#..#.......####.#.##..#.#....#####.##.#....##....##..##.....##.##...##.###.######.####.###...##...##..#.###.###.##.....#.....###...####..##...###.........#.#..###.#.###.#.#...###.....#.###...##.#......######........#.#.###.#.##.##.##.##.#.#.#.....###..##...#.#.#...###.####.....########.#.#####...####.#.######.##.....#.##.#...####..#.##.........##########.###..##.###.#..#.#..#.##..##..###.#...#..#.###.######..##.#.#..#.#########.###......#.#..##.###.#..#
##.######.###..##..##..##....###.#####..#.#......#####.#..#.#.##...#...#.#.#.#.####.#.#..######.#######........###.#.####............#.##..#.##..##..##.##..#..######.#.#.......#.#.#...#.#..#.#..#####......##.#####.#.###.#####....##..#.##..#.#.##.##.##.#...###...###.#..####.#.#.##..#..#.########......#.##.#.###.##..#.#..#...######.#.##.#.##...####.##.#.#.#.#......####.##........#.##....#..##..#..#.#...#..#.###.#..##.##.##.######.##.#.######.#.##....##..###...#.##.##.#####..######.#.####.#..##..##.#..###.#.#.##.#.##........##.##.##.##.#....###.##
#....##.....##..##..######.###....#.##.#########.##.#..##...#..###.###.#............###.##........#######.#.##.....####...#.#.####.#.#####.#..############.###.##.........#.##.##...#.#.#.##.######.#...#.##.#######..#.##........##.#..######.#.#.##..########.##..#...####......###..##.#.##........####.#.#.#..#..##.#..##.##.#.#.###....#.##.#..##.##.....###.#.####.##.###.###########.#.###.#.#.##..##.##...#.##.#...###.###.##.........######.##..........#.####..##.#.#..#.##.######..##........##.#.###.###.##.##..#.#..###.#..##.#.#.#..#...####.#.#.###...#
###.#####.#..##.##.##......######.#.....##..#.##....##..#.#...##.........##.##.###.###..#########.....#######..#.#.##...#.#.#.##...#..##...####.............##..##.##.#.#.#.#..##.#.############......#.#.##.#.......####..#.#.##.#..##....#.#.#.###..####.#.#...#####.###.#.##.#.##..##..#####.###.###.######.#.###.####.###.##.#.###...##.#..#.#.##...###.#.##..#.#....##.#.#..#...##.###.#.#...###.###.######.##.##.#.###...#....####.##.###...#...#.##.###.#.#....#.###.###.##.#....##.#.##..##.#.###..#.##..#.......##.#.#.####.#####.######.###....#.#.#.##..###
#....##...#.###.#######.#.##..#...###.#..##....####.###.#####..####.##.#.##.##.##..#...##.........###....#.###.###.####.###.###..#.#.##..#....##.#.#.#.##.#.#..######.###.####..#.#.##.##........####.#.###########.##.###.#.#.#..##.##.#.##...########......##.###....#.....##.#.###.#..##...###..............#.#....##..#...##.#..####.##.#.####.##.#.##..#####.#.##.#.####.##.#.###......#.##.##....##..##.##.#...#.#..##.#.##.#.#.....#.#####...#.#.#####..#.#.##.#.#.....#..#.##.#..#.#.########..###.####.######.#.######.#..#.###...##..##...##.#.#########...#
##.#..#.#.#.##...##.#...#####...#.....##..##.#...........##.#.##....##.######..##.##.############.######.......##..#....##..###.##.#..##.#.#.##..#####.##.#.#.###......##.##.#.##.#.#.....##.##########.##..........#......#.####.#..#..###..#.#........#.##....##..##.#.##.#######...#######.....#.#.##.#.#.#.#.###.####.###.##.#.##....#..#....#.#..#####.###.###..###.#.............#.##.#.#...##.###..##.....##.##.##.#..#.##.###.##.####.#.##.##.#.#.....##.#.#..####.#.##.##.##.#.##...#........##......###......#......####...#...#....##..#..#.#...##...###.##
#..#.##.#.#..##.##....#.....##.###.#.####....#.#.##.#.##.........##.##.##.....##..##.#............#......#.#.#..##.#.#.####.#...#..##.##.#.#..##.##....#..#.#...##.#.#.#..#....##.#.##.#.##..#..........#..#.#.##.#.#.#.#.##.##...##.##...##.#.##.#.#.#.#..##.#..##.##.#.##..##.....#.##......#.#.#.#.##.#.#.#.#.#....##..#...##.#..##.#.#.##.##.#.##...##.......##.##...##.#.#.#.#.##.#.##.#.##.##..##..####.#.##...#.#..##.#.#..##..##...##......##.#.#.#.#..#.#.##...##.#.##.##..#.#..#.#.##.#.#.#..##.#.#.##..#.##.##.#.#..##..#...#.##.#..##.#.##.#.#..#.#......#
####################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################E#

#S######################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################
#.#.#.#....#.#.#....##..............##.#..#.#.#.#...##.##...#.#.#.#.#.##..#..#.##....#.#.#...##.........#.##...####.#.....#.#..##.##...##.#..##.#.##...#.#.........#.#......##.#.......#.##.#..##..........##..##.##.#.#.#.##.##.##....#.##.....#..##.#.#.#.##.#.#..##.#.##.##...##.#.#...##..##.........#.#..##....##.#.#.#.#.#.#.#.#.....#.#.#...##.#.....##..##..#.#.#......#.#.#.......##.#.##.#.#.#.#.##...#.##..#..#.#.#...##.#.#...#.#.##.#..##.....#.#.##..##.##.#.#.##.##.....##.#.#.....###.#..##.#.#.##...#.##.##.........##.#.####.##.#..##.#...#.##.#.##..##..##...####.#......#.#.##..##.#.##.##.#.#.#.#.#
#...#.###.##.#.####..########.#####....##.....#.###.##..###.#.#.#......##...##..####...#.#.#..#########.#..###..##..##.##.#.#.##..#..#......##....###.##.#######.#.....#.##..#.###.#.#....#.##.###########..##.##.#...............####......###.#.##......#.#......##..#.#..####.#....#.#....###########.#.##.#####.#..............#.#####...#.###.##.###.#.###..##.#.#...#.##.....#######.##.#.#......#.#.####.#..##.##...#.#.####.#.###.....#....####.##...#.#..##...#.#...#..###.#####.#.###.#..#....##......####.#.......##.######.....##..##.#.##..###....#.#.###..##..###..##..##.#####.#.##.##..#.##.#..#...#.#.#
###....#..##.#...###.#.####...#.....##.####.#.......##.##.......##.###..###.##.##.####.#.####.#..#.##...#.##.##..##..###....#..##.#########.##.##..##.##..##.#######.#######.......#.##.#.#.##..##.##.#....##..##.#####.#.###.######.####.###........##.###.######.###.#...##..#.##.########..##.##..#...#.##.#.##....#####.#.#.##...##.#..###.#...##.#.###.#.##.##.#.##########.#####..#..##...######.#.#.#.#....###.####.....##.....#.##.##...##.#########.#.##....###.###.##.#.#.#.##..#..#####...##..#####.##....#.#.###.##....#.#####.#..###....##.#.###.##.#..##.##..###..####.##....##......##.##.#..##.#.###.#.#
######...##..###.#.#........######.##.......#.#.###.....#######.....###.....##.##..###.#.##...##....###.#.#...##.#..#####.#...##...##.##.....#.###.......##..#..##...##.##...##.######..#....#.##.....####.##.##...##.######..##.##..##...#...######.#..#.#.#.##.#.#.#...#..##....#.#...##.##.##..##.###........#..##.#.....######.#..#.##.##..###.##....#..#.#..##...##.#.##......#.##.##....#.##.#.........##.###.#..#.####.#####.###.##..######..##..........#.#####..#......#.#....##.##.#.#.###.###.#......####.#.#########.#....##.#.##.#.#.#####.#.#.#.##.#.##...##.##..###.#....#########.##.....##..#.#.##..#.#
#.#.#..####.##.....####.#.#.##.#####..###.############.############.#.#####.##.##.##.#.#.####.#####..##.#.##.##..##..#.######.##.#.#...##.#.####.#####.#####.#.#######...##########..#######....#####.#.#...#.####....####.##....##.#########.#.#.#####.#.#.#.##.....######.###.#...#.###.....##.##..##########.##############.#...##...##.##.##.#.#####.##...#.####.##....#..###.##.#...###.####....#.#.#.#....##..##.#.#..#..#.#..#.#.##.##......########.#.#...#.#.##.#.####.#.#.#.###.#....#.###.#.#######.##.#..#..#...##.#####.##....##......##.#.#.....##...####.......##.#...####..##.###.###.##..##...#....##.#
#...##.##....###.##########.#........#######.#..........#.........###....##.##..#.##.#.#......#.#.##.##.#.....##..#.##.#..###..#.#####.####..##................#.##..###...##.##....##.#.######..##.#.#.###.#..#.####.#.#..####.###.##..##..###.#.#.##.........#####.#.##...#.#####.#.#.##.##.##..##.#.##.........#.#...#..##..##.#####.##.##.#......##..####....#.#..####.####....#.##.##....##..#.##.######.#####......##.#.##.##.#.#.#########.##...#....#####.....##.###.#......#.#.#.####.....#...##.##...#..##.#.##.###......#..####.##.#.#####...#.#.#....###..#######.#..###...##.##..#.#..#..########...#####.#
###.##..####.##..#.#...#.######.####.#.......##.###.###.#########..#####.#...##...##...######.....#.......#.#..##...#....##.##....#.#...##..##########.####.##...##.##.###.....####..#...#.#....##............##........#.##.#...#.....####.##.........#.#.#.#..##.....#..#...##.#.......###...##.........######.##.###.##.##.#####.###.#...#.#####.##..##.#####.....##.....#####.##.##.####.###########....#.##.##.##.#.##.#.#..##.......#.#.#...####.##.###.....###.#..##..#####.####.#.##.#####...###...###.#.##....#...##.###########...#.###.##..###.######..##.##.###.#.#.##.##.###..##.#.#.##.##.##..##.#.##..#.#
##...##.#.##..##...###.#..##.######..##.####.####...#...####......##.##....#..#.######...#.####.#...#.#.######..##.##.####..###.###.#.#..##..#.###......##...###....#......###.##.##.###.#.####.#############..########...##.###.#####.##...#..###.#########.##..#####...####.#....#.#.#..#..#..###############................#.##.#.#.##.##.##..#.###.##.......##########....#..#..##.#.#...##.#.#..#####.#.....####.#..#.#.##.##.#######.#.###..##..#####..###..#####....####...#.##.#..#.#...###...##.##.#.#.#####...###.....#.##.#.##.##..#...##.#.#######..###.##.#.......#...#...#.##.......#.....##..###....##.#
#..#......##.#####.##..##..#.#.#....##..#..#.#.#..#.###.#..######....########.#....#####.#.#.####.#.#.#.#######..#.##.##.##.#.#.##..####.##.##.#.########..#.######.########...#..#..##....#.#...####....#.#..##.########.....#...###...###.####.######.#....#..##.#.#####....####.######.#.#####.#...##......###############.##.#..........#.###.....#.####.#.#..##...##.####.##...##....###..#.#.#.##..#....#####..####......#.....##.#.#.#.#.##..##..##.####.##..#######.##.###...##...##.##.##.#.####.##...#..##...###.#.#####.##...##.##.##.####.#..##.#.#.##...##.###.#.#...###.###.#######.##.#######.##..#####.#
#########.##.##.#...##.###.#.#.###########.....####.###.#.####..####.#.##...#.#.####.##.........#########.#.#.##......##.##.#.#.#..###.#.#..##...##.......##.#......##.##.####.##.##.#..##.#.##.##..####.#.#.###.#....#######.#.#.#.###.##............#.##.####....#.#.##..##......##.#......##.....#########.......#.......#....##########.#.#.#####.....#######..#.###..##....###.###.####..##.....###.####.#..###.##.####.#...#.####.#.#.....###..#.##..#.#..#..##.#......#.###.######..#.##......#.#...###...##..####..#.#.#.#..##.##......#..#.#...##......#..####.#.#.#####..##..##..##.##..#.....##.#.###.#...#.#
#.##......#.....##.##...##.....#..###.###..#.#.######.....##.##.#....#.####......##...######.#####.#.#.#......#######.#..##.#.#.#.##.#...##.###.######.############.##.##..#....#.##.####....#.....##..........#.####.#.##.#..#.#...#.#..####.#######.#.##.#....##.....#########.#.#....#.##.####.#..#.#......###.#.#######.####.##.####.##.#.#..##.##.#.##...#...##.#.##..###.##.....#.#.#..#######..##........##......##...##.##.###..#.##.##.#.##....##.#.##.##.##.######.#.#...##...##.#..######...###.##..#####....#.##.......##.....######.##.###..######.##..##..#.###.....###.##..##...#.##.##.##.....##...###.#
#.#######...#.####.#..###..###.##.....#...##.#....##..#.#.....#.####.#.#..####.######..#.#.#...##....#.######.#.#..##.#.##....#.#.##.###....#.#.##.....###.##.###....#..##.####.#.##...#####.#####..####.#.#.#....###...#..#.######.#.#.###...##...#....######.####.##..##..###..####.#.#.#...#####.##.#.#.##.##..#.###.#....#.#.#.....#........##.....#.####.#.#..#.#.###.#.#..#.#.#.....##..##.#.##..######.#########.####.##.####.##......#....##.####...........#.#........##.####.##..#.###.#...#.....##.##.#...####.##.####.#######.....##.##..##.##.##.#..##.##.##...#####.#.#..##.####.#..#.#########....###.#.#
#.#.#.#####.###....##...######.#..###.#####..####.###########.#.#......##.#.##.##.####.....#.###..##.....###....#.##....####.##...##..#####.#....##.#.##....#.#.####.#.###.##......#.#.#......#.#..##.########.#.##.###.##.#.#.#........#.########...##..##..####.#..##..##.#.####....#######.#.##..#..############.#...####.#.....###...######..#####.#.#....###.##.#..##.....######.###..#.##..#.##.####.##.#..###......#####.#.##..####.#.####.##.##.###.######.##.##.#.#.#....#.##..##.#.#.#.##.#####.##..##...######.......###..#....######.##.##..##..#.#.##..#...#.###.#.....#.##....##...##.#.#.#...#.#.####.#.#
#...#.#.###...####....###........##.#.#.....####..#.##.#.#.#....##.###..............######...##..#######.#.##.#....##.#..#...##.####.##.#.#.#.#############.#...#.#.....#...######.#.####.###.#.##..#..##.#....#.....#.........####.###.#.#####....###..##..###.#...####......#######.##......#.###.#.##..#..#.#.#..###........##.##...#.##...##.#.#.#.####.#..#..#..#.#######....########....##...##.##......#.##.######.#.##.....#.##..########.##.##.######..##.##..##########......##........####.#....##.####..##..#.#####.####.#.##..##..#.##..##..#.##....##.#.###..#....#.#...#..######.##....#.###.#.###....#.#
###.#...#...###.###.#..############.#.########.##............##.######.######.###.###.######.#####.#.......#####.#..####.##.##..#.#.....#.....###.##.##.#.#.###...#####.###.#.#......##.###.#.#.##.##.##..##########.#######.###.#..#.....#...#########.###.#.#.###.#..######.#...##..##.####....#.....##.##.#.#.##.#.################.######...........######.##.##....#.####.####.##.....##..##.##..#######.#..#.#.#.##.#..##.####..##..#.##....##..#.#.##.##..#.##.###.#.#.#.######.######.####.#..###.##..#.#..####......####.#..#####..##.#..##..##....#.##......#.##.#.########.##..###.#..#.####.##..#..#..#.##.#
#...###.##.##.#..#####..##.##..##..........#...################..##....#.......######........#.##..###.###.#.#.###.##.....#..##.#.##.##.###.###.#.##......#.#.###.#.#.........######....##......##.....##.....#.###.......#...##.#.######.#.###..###..#.#.#.#.#.######.#.##...###....######...##...#.#................##.....###.#.#.#....###.##.#.####..#.##..##.#####.#.#.....#.#..#########.##..##..##.#...#.##.#.#.#....##...##..####.#..#.##..##.#.#.#..###.#.#..#.#.......###.#....#.#...#.#.##.#....##.#.#.#####.###.##.##.##.##..##..#.#.####..###.##.######.##..#.#.####........##.#...##.#....###.#.##.#####.#
###........##.#.##.#.#.##..###..########.#.###.#.#..............##..##########...##.##.##.##.#..##.#######.#....#..######.#.###.#..####..##...#.#..######.............#.#.#.#......#.##.#..####.#####.####.##.......#####.###..#.######.......##...##.....#.#.#.#..##.....###.########.##.###.#..#.###.#.#######.####.######...#...#.#.####.###..#.#....##.###.#...##.....#####.#...###......#.###..#.##..###.#.##.#...##.#..###.#..##.#....######.##.#.#...##.......##.#######.#.....##.....###.#.#..####..........##..#.####..#.#..##.##..##.#..##..##.#.####.##......##.###..######.#......####.#.####.#....#.#.#.#.#
########.#......##.#....##.#.##.#.#.#..###...#.#.##.##.###.##.#..#####......##.####.#..##.#..#.###.#.##......##.##..##.##.#.##..#.###.##.#..###.##..##..#########.###########.####.####.##.#.....##.....#######.##.##.........##..#.#.####.#######....###.#...#.##..#####.#.....##............#.##.##..########..#....#.##...#.###.#.####....########.#..#.#.#.###.######..#.##.##.##.######...#.#.##..#.##...#.#..###..####.#...#.##..#.##..##....##.#.###..##.#.##..#.##..##..############..##.#.##...####.#.######..##..##..##.##.#...##......####.##.#..##...####.###..##..##...####.####..##....#.##.##.###...#.#.#
#.###..########.##.###.##..#.#....#.##..#..#......###..#########.#.#.##.###.#...##..########.#.....#..##.##.##.....##.....#..##.#.##.....##..##..##..##.....#.#.###..#.#.#.#..#.....#.#.######.#.#####.##..##...#############.###.#.#.#......##.##.#.###....#....#.##.#...###.###############.###...#####.......#####.#..##.##.....#.##.####.#.#########.#.#........#...##.#.##.#...#..##..###.#.#..##.#..###.#.##..##.##..#.###.#.##.######..####....#.#.#.#########.#.#..####..#####.#.....##.......###.####.###..#.####....##..#..##.#####.##..#.#..#.##..##.####..#.#.##..#####.#.#..##.####..#.##..#.#....###.#.#.#
#.#.##.##.##.##.#..#......##.####.#.###.#.######.#####.#...#.#.......##.##..#.#..##.######.#.#####.##.############..#####...###...######.#..####.##.#######.#.#..##.##.....########......##..###.#.#.#....##..#.#.#............##.#.#.#####.###.#..#.#...#.###.#...##.#.#.###.#.#.#...##......###.###.#...#.##.###.##.##....######...##.#..#.#.#.#.#.......#.####.#...#.#....##.###.#.##..##.....#.##..##...#.#.##.###..##.#.#.....##...#.##.##..####.......##.#.##.#.#.#.##.#..##.......#.#..#######.##..#.#....##....##..######.#.###.##.....#.##.##.#.##.###.##...##.#..##.#.##..#.##.##..##..######...#.#####..#.#.#
#......##....##.##.###.####...#.#.#.#.#.###.###...#..###.###...#####.######...##.##....##......#...#...##..#.#.#.#.##.#####.#.#.#.#.#....##.........#.##........##..####.###.#.#..######.###.##........##########.####.###.#.#......#.#.#.#...#.####.#############..#.###.........###..####.###.###...##.#######...#...##.#.#..#.###..#.##.#.#.#.#.######.######..###.######.##.##....###..#####.#..##.####.#...##..#..##..#.#.##.###.###..#.##.##..######.###.#.#.........#...#############.##.#.#.#..##...##.###..######..#.##..#.#.#..####.#####......#..##..####.##.#.###.#.###...#...##....###...###.#..#.#..##...#
###.##.#####.#..##.#....##..#...........##....###.#.##.....#####.##..#.#########..##.####.####.###.##.####...#.#.#.##...##......###.####..######.##...#########.###...##.##......##.#.#...#...########...#.#.#.##.#.#...######.####.....#.#.###..###.#....#.###.###.#..####.#.###..#..##..####..###.#.####.##..###...#..#.####.......##.#....#.#....##......##.##.#....#.#.......####..#..##.#...#.##..#.#..##.####.##..##.#.#.#..#.#..###...##.##.##......##....###.##.##.#.#..#..##.###....##.#.#...#####..#..###..#..##.##..##.#.#.#.##....#.#.######.##.##.##.#..##.#.#.#.#.#...#...####.####.##.##...#.##...####.##
#...#....#...##.##.####..#.###.#.#.#.##....##........##.#####.#...##.#..##.#.##..##..#..####.#.#.......#.###.#.....####.##.##.#..##...#..##...######.##.............####..######..#.#.###.###.#.....###.##.#.#........###.#.####....###.#.#..###.#.######....#........##....#.####...####.##.##.#.###.#.#..##.##.#.#.##.####.#######.##.####.#.##.#######.#.....######...#######....##.##..#.###.#.##.##.##.##.#.#...#.##..#.####...##.#.###.#..##..######..####..#######..####...##..#.####.##.#.###.#.#.##.##..##.##.##..#..###.#.#.#.#####...#..##.#..#..##.#....###...#.#...######.####..##.#.##..#.#....##.##.....#
##.#####.###.##.#.......####.#############..####.###.##.#.##....#....##.#.......####.##..#.#.#...#####....#..#####.......####.#.#####.##.####.#.#.....##.#.###.###.##.#..##.#.###...#..##.#...#####.#.#.##...#.#.##.###.......####.##.......##.#.#..##.#..##.######.#######.###..###..###.#.......##....##.##.#..######..##...#.........##........###.#####.###.##.#.##.##.##.#..##.....##.#.#.....##........#.#.###....##.#..#...###.....##.#.##..##......####..##.##.#..###...#####.#.##.#.#........#.#..#.##.##..##.##.##.##.#.#.#.#...#.#.###.##..##.##....####...###...#.###.##....#.##.##....#.#####.###..#####.##
####......##.#..#######.#.#......##.#.##...##....##........#########..#.#######...##.###.#.#.#####..#####.##.#.#.#######..#.#.####........#...#.#.##.###########...##.##.##....####...##..###.........#..###.########...#####...##########.##....##.#..####..##......#.#.#####..#####..#..#######..#.##.......##.##.#.#.#####...######.####.##.##.#.#.#..#..##..##..........#.######.##....#.#####.##.######.....#.##.###..##.#.#.#.####.##..#..##..######....##.##.#..##...###.#.#...#.#....###.####.#.##....#..#.##..##..#....#.#.#.#.###.#.##..##.##...#.####.#..###.#.#...#....####.#..#.#..####..##.....##..##.#..#
#.#####.#....##.....#...#.##.#####.......#####.#.#..##.###.......####.#.#..##.##.##..#.#.#.#.#..###.#............##.#.###......#.###.####.###.#.###...#..##..##..#..#.#..####.##.####..##.#.##.#.####...##.#.##.#.########....#............###.###..#.##.###..####.#...#.#.#.##..#..##.#.##.###.#.######.###.###....#.#.##.####.#........#..##.#..#.#.##.######..####.##.##....##.#..#####.#.#......#####..#####...##...##......###.#.....##.#.##..##.##...##.....#.##....###...#.###...####.#.####.#....###.##.##..##.#..##.##.#.....#.##.....##.##.#..#....#.#.#.##...#####...####.##...##...###.##..###.###..###.#.##
#.#..#####.#..#####.###.#.##.##.#..##.#####.##.####.#######.#.##........##.#......##.#.....#.##.#.#.###.#.#.#.##..........#.#.##.#.#####..#...#.#####.#.##..##..###...#.##.#..#.....##.#....#########.#..#.#.##...#.####.#########.##.####.......##.#.##.#.##.#..#####...#.#..##.##..#....#.#......##.#####....####......#..#######.####...###.##..........#.#..##..#########.##..####.......#.##.####..##..##...###..####.#.#####..####.##..#.###..#.##########.##..####...###....####......#.##.#.###.##...#..##.##..#.##..########....##.##.##.##.#####.###.#.#..##.####...#..##..#..###..###.#.##.##.#..##.##.#....#
#.##..##.####...........#.#...#.#######...#.#..#....#....#########.####.##.######..#.#####.#.##.#.#.#.#.#.#.#.#..#####.#.##.####.#.##..##.###.#.#.#...#..##.#..##.###....#.##.#####..#.####.#.#.#.....##.#....###...#..#.#.#.##....##.##...###.###..#..#.#.#..##.##..###.#.##.##..##.##.#.....#.##.##.#.#.####......#.##.#.##.##.#..##...###...###########.#.##..##.##.##......#.##..#######.####.##.##.###..###...##.##.###.###...##....###.#...##.#...##........#.##.#..#..#####.#.#######.#.#..#.###..###...###..#.##..##...#....####..####.#...#.#.#.....#.#.#.##.....######.###...##.##..##.#.##.#..#.##...#.#.##.#
#.###.#...##..####.#.##.....###.#.#..####.#...########.#..##.#.#.#####...#.#.##...##.#.#........#.#.#.##########.##....###...#.#...##.##...##.#...###.#.##..####......##......#.#.##....##..#.#.#######....#.##.###.##.#.#....#######..##.####.#.##.##.....##.##.###.............##..######.#.#.##.#.........##########....##.##.##..###..######...#.......#.###.##.##.###.###.#.##.##.#......#.#..#.##.#.##.#...####.##.##..#.##.#####.##.#...###..###.#######.#......##.####.##..#...###.......##.....##.###.##..##.##.###.###.#####.##..##..###.#.#.###.###.#....##.#####.#.....##.###..#.##..#.##.#.##..###...#.####
#.#.#.###.#####.###########.##..#.##..#.#...###.#....####........##....#...#.####..#.#.###.####.....#.##.###..##############...##.###..##.##..#.###.#.#..##.###..############.#.#.###.#..##.#.#..###########.##.##.......##.#.#.#.....######...........###....##..#####.#.#.####....##..#########....#.####.###..###..####..#.##..######.##......#...##.##.#.....##.#..#.####.....#..#.#.#.##.....##.#.........###.#......##.#.#..#.##..#..###.##..##......#..########.#...##..###.##.##.#######.######......#.#..###..#..#....#.#.##..#..##..##.#.#.#.##....#.#.####...###..####.##..##..##..#.##..#.#.###..##.###.#.##
#.#....##..#.#...##.#.......##.##.###.#.######..####..#.########.##.#.####.#.#.###...#.##..#####.##.......#..##.......##.....#.#....##..#..##.#.#.#...#.##....########.#.#..........###.##......##.....#........########.##.#...#######......########.#####.#..#.##.#.#########..#.###.##..#.#.#####.###......##.#...##.###...###..#.#.########.###.######.#####..#.##.#.##.###.###.##.#######.##.#....#.#####..##...#######.#.##.#....##.##.#....####.###...###..##...##.####...#.#...#.#.....#.#.##.######.#.#.##...##.##.####.#.###.##..#.##..#.#...###.###.#..#.###.#.##.......##.##.##..##.##.##....##.##.........#
#.##.#####...###....####.##.##.##.#.#.#..###...###.##.#.#..##.....#####......#...###.#..####..##.#..#####.##.#######.######.#####.#####.#.###...#.###.#.#####..##........##########.##.....###.#######...#####.##.........#####.###...####.#####.#######.#####...##.....##.#..####.#.#..##.....#..###########.##.###.#......###.##.#.#.##..#....#.###.###....####...##.#.#..##..#.#..#.##.#.####..#########....####.##.##.#..#.#..###.##..#..##.#.##.###.#.#.#.#.#####.....##..#...###...#####.#.#.#...##.##.#....##.###......##.#.#...###....##...#.#.#...##..#.##.##..#.######.#..#..#..#.###.##..####..#..#.#########
#.#..#.#.###...#.##...####.....##.#.#.##.#.##.##.#.#..#.#.##..##.###.#######.##.##.#...##.###.#..#.##......#...##.....#.....#.##..##.#.....#..###.....#.#.....##..######.#.#.#.#.......##.####.#.#.#.#####.....#####.####..#......#.###.#####................###..###.###..#.#####.#.##.######.##..##..#..#.#....#.#.###.##...#.#.......##.####.#.....#.####......#....#.##.###.#.#.##.#....#.###.##.##.#.##.#..#.#.#.....##.#.##..##..##.#.##..###..##..#.#.....#.######.########.#.###.###.....#.###.##.#..###.##....#.######..#.##.##.#.#.#####.#.#####....##.#...##.#.....#####.#.##.##.#.#.##.##.#..##.##.##...##.#
#.##.#.......########.#.#..##.###.#.#.#..#.##..#.#.##...#..####...#...#.........#..##.###.#.#...##########...########.#####.#..##.##.#####.##...#####.#.##.##..#######.........####.#.##..#......#....###..###.#.#########.######...##..#.#...####.#.#######.#.##.#.#.#.##.#.##..........###...##.####.##.#.####...#.#.#####.##...#######...######.##.....####.#####.#......#.#.#.#.##.####.#.#.#.........#####.#.#.#####..#.#.##.##..##.....##.###.##..#######.##.#......#.###..#....##.#.#####.#.#.#.#..##.##..#####.....##.##...##.##.#.###.##.....##.#.####..###.#..#####.#.#.....##..#.#.#.#..#..##........#.###..#
#....#######...##..##.....##..#.#...#.##.#..##...#..###.#.##.####.###.######.##.##.#..#.#.#.##.##.#.#.##.###.#.##........##.#.###.##.#.##...##.##..#..#..#####.#.#.....###.#.#......#####.######.###.##.#####....#.#........##..###.###...######...###...#...............#.#..##.#.##.##.#.###.#..#.#............#.....##....####....##.#.#....#.########.......##.######.#...#.#.#.##.#.#......#######.#...#...#.#.#.#...##.#.##.##.##..#####....#..##....##....#.######.#.#.##.####..#.#.......#.#.#.##..#..##.....##.####...###..#.#.....#...##.##.#.......##.#.#.#.##.#.....#####..#.##.....##...##..#.##.#...####.#
####....#.####.###..#####.###.#.###...##...#####.#.##........#.##.....###.####.......##......#.#.........###.#.##.##.#.#..........#..#.#..###...##.#.##.###.#..#.#######.#.##########..####..........##.###.#.####.#######.####.#....####..##....####..#...#.#.#.####.##...##.#########..#.#.#.#.##.##################.#####..###.#####.#####.##.##..#..###.#.###..####.#.###.#.#.#.##.#.######..##.#######.###.....#.###.##...##.##..##...##..##.##....####..##...#..#.......##......##.#.#####.#.#....##.#.##..#####...#.##.##.#.##.####.##.###..#..####.#####.#.#.#.##.###.#.....#.##.#..#.####.###..#####.#####.#..#
#....##.........###.##.####...#.#.#.###..#######.#.########.##....#.#...#......#####..##.###############...#.#..##########.#.####.##.#...##.##.##..#..#.#.#.##...#.##.#..####.####.###...#####.#.#.#....#.#.#.###...##......#.#.###.##..#.####.####.####.#.###.#.#.....###....#.##...###.............#...................####.....###.#.###.......##.##..######.#.##.#....#.......#..#.#.#..#.#.##..#.##..#.##..#####..#...##.##...##.##.####.##..###.####.#######.##...####.########.##.#####.....##.###....###.#.##..###.##.##.......##...#.#.#####.####.####.........#.#.#######.#......#####...#.#.##.#.####..#.##.#
##.#.###.###.##.....#...#####.....#.##..###.##.#....##.##.#..###.######...##.#.#..###.##...#.##......#.#.#.....####.#.##.######...##.###.##.##..##.##.#.#.#.##.###.#..##..#..........###.#.###.########.........###..######.#.#.#.#.###......####...###..###########.###...##...####.#.###.#.#.##.##.###.#.#.##########.##.######.#.#.#.#.######.##.....##.####.#.##.####.##.####.#.##.#.##.#...###.#..##....##.#.#.##.#.#....####.##.##..#.#####..##....#.###.....###.###....#.#.#......##....#.#.....#####.....#.##.###...#.#####.##.##.###....##...#..#....####.####.#.#.##.#....##.#####.#.###......#.#..#.#.##.#..#
#..#.#.####...#####...#.......###.#.##.##.#.##.###.##.......##.###......#########.#.#.####....##.#.#.....####.##..#...##..#.#.###....##..##.#..##..##.#.#.#..#.#.#.##..##.##########.....#.#.######...########.##.##.##.#.....#.#.#.#.###.#####.###.#.######.#..#....#.#.#####.##......#############.#####.#.#..............#####.#.#.#.#.##.##...####.##...#.#.......#########......#.#.#..###.......##..##....#.#....######..#.#..#..##.#..#.#..##..####.#.#####...###.###.##...#####.#####.#######.##..######.#.##.#.#.###..##.#.#...#.....#######.##...#####.####...#.#.##.#.##..#..#.##.#..######.##...##.#.#..#.##
#.####..#...###.....###.###.###.........#.#.##..##..#.#.###.##..######.###..#.##.......#.##.#..#.#####.######..##.###..##...#.#...##..##.##.##..##.##.#...##.#.#.#.##.##.....###...#####.#.#.##..#..#.#.###.##.......##.#####..........#..#.##......#.####.#.##...#.##.###......####.#....#.#.#.##...#..##########.#.#.##.###.....#.#.#.#.#..#..######.##.#.....#.###....#..#.######.#.#.##.#.#######.##.######...#.####...##.##.##.#.##..#.##.##..##..##..#.##.#..####..#...####.##..#..##.###.#.#....##..##....#.#........##..#.####.##.######..##..####.#.##...#.#.#.....##.#####.#.##..#.#.##.###...#.###..#.##.#.##
###.###...#.#.###.#.#######.##..##.###.##.#..##.#..#######...#.##..#####.##......#.#.#...#..#######.######....##..#.##..###...#.#####.#..##..#.##...#.##.##..#.#.#.##..####.##.#.#####.#.#....##.####.....#.##.#####.#..#.#.###.######.#.##..###.##...#.........#.####...######.#.#######.#.#....###.#.##.#.##.....#####....#####.#.....#.##.##..##....##.####.##.######.##....#.###.....##...##..#....####.#####.#.##.##.##..##.#....###...##..##....####......##.##.##.###..##...##...##..##..#.####..##..#.##...#.##########.#..##..##....#.#.##..##.##.#..##.##.#######.##.##....#.##.##...##.....#.#..###...##.#..#
#.....##.####.#.#.###.....##########....#.#.##..##..####.###....#.##..##..#####.########.##..##.##..#.#..####..##.#.##.##.###.####..#.#.####.#..###...##..##.#.#.#.#..##...........#.#.#.###.##..##...###.#.######...##......####......#.##.#########...#.#.##.#####.##.##.#.##.#.#.#.....#.####........#.#..#####.#.....##..#....###.#.#....##.######..###.####..#.........##...#.#####..###.###.####..##....###....#.##..##.#....####.##.##..#####.##########.....#.#...##.#####.####.###.###....#.##..##...####.......#..##....##..##..#.##.#.#..##...#...##..#...#.#.....#.#####....#.###.#######.###.##.###.##...##
#####.#..##.....####..#.#........###.##......##..##.#.#....####...###....##.#...##.....#..#.##...##.#.##.#..#.###.#.#..##.##..##.##.....##.#...##.###.##.##..#.....#.#############.#.#.#.##..##.##..###......##..###..#.#.#.##..#.####.#.##..#.##..###.######...##......#....#......#####....#...##.#.#.#.#.##...###########.###.##...######.....##.##.###....#######.#.##.#####......##.##.#..##.##...####.#...#.####..##.#..####.#.##.##.##.##.#.....##...#.###.#...###.....##....#...#.#.#.####.#.###..##.##....#.#.#...######.###....####..#.#.##..#...#####.#.#...#####....##...##...#.#.##..##...##......#.#..####
#.......#######..#.#.###########.#.########.##..##..#.####.#..###...####.#....#.######.##.#.###.##..#.#..##....#..#.##.....##.##..#####.##.###....#...#...##.#.#.#...#..###....##.........#.##...#.########.####...#.######.#..#####......#.##.###...###......######.##.####.#####.###.#####...#.##.#.#......#.#####.........##...###..##..####.##.....#.###.##.##.#..#.##.#.##..#.##.......##....####..#.#####.#....##......###.#....#.##.#.....##.#######...###.###.#.#####.#####.###.....#.##.#.#...#.#####..#.##.#######......#.##.#....##...#.#######.###...###.###.#.#.##..#######.##....##..##.###.######.#.###.#
##.#.#.###.#####...####..####......##.#......##.###.#..###.#.##.##.##......####.#....#...........##.#.##.###.#.##...######.##.#..####...##...####.###.###..#.#######.#.##.####.#..#######.#.###.####..........####......###.##.###.######.#.##..####..######.#########........#.##...........#.###..#.##.#.#....##.#.#.#####.####.##..##..####...#####.#.#.#.##.#..#########.#..######.#.##..###.##.#..##..##.#...##.#..###.##.#.####.#.#....#####..##.#.###.##.#.#...........#.##..####.##.#.##...###.#.#..#######...#..########.#.##.#########....###......###.##...##.#.###..##..#.##.#..######.#..##....#.#........#
#..###.#.......###.##.##....######.##.#####.###..##.#.##......#....#################...######.#.##.....#..####.####......#....##.#..###.##.####.......#.#.##..####...#.##....#...###....#.#.#.#.#..########.###..###.####.......#..##.......###.#..##.....#####.##.##..######.#.##.#######.#.#..##.#########.##.#..#.#.###....#...###..##.#..##.##..##.....#.#..##.#.##...##...##.#.####..##......#.##..##.#..###.########...#.#.##.....####..#.###.#..#..##.#..######.#.####.#.#..##.#####.#..###...#.#...##..#.###.##.##.#.#..#...#...#.##...####...###.##.#....##.##......##..##.#....#.###.##..##..#.####.##.##.#.##
##.###.#######..#...#.#####.........#.#.##......##.....#.##.#...####.##.##....##..#..#.##..####.######.#.##.#....#######.#.##.##.##.#.#.#...##..#.#.#......##..#.###.#.#####.#####.#.##.....#...#.##.#.##....##.##....##..#####...####.##.#..#..#.#######..##.#.#..#..##......#.######...###########.#.#.....##...######.####.###.#.##..#.##.#..##.#######.#.##....#..#.#....###.....###.####.###.#.##.##..##.#.#..##.##.###.#.#..####.##.##.##.#...##...###.#.###..#######.....#.##..#.#.....##...#...###..##.#.#.......#...##.##.##.###....###..###..#...####.####.####.######..#.####.#...#..#.##..##..###.#...######
####.####....##...#...#.#.#########...#.#######..####.#########..#.#..#..####..##.#.##.###.#.#....##......#.####...###.#.####.#..#....#.#.#####.##########..##.#..##.#...#.#..#.##.#.#..#.#...###.#.....###.##...#.##.##.##.#.###..##...####...##.#.#.....##..#.##.##..######.#.#.##.##.##..##...........##.#####..##.#....#.........##.#.##...###..#.#.......####.##.##############.#...##...#.........##.#..#.#.###.#..#.#.#.##.##....#.##.#..#.###..####..#.#.##...#.#.#####.#.##.##.#####.##.#.###..##.###.#.####.####.###.....#...##.#####..##.##.###..##...##...#.#...##.##...#.#....###.##.###....##...###..#.#.#
#.##.##.###.####.####...#.#.#.###.###....#......##.....##.######...##...##.###.##.######.#.#.####..######......###.#.#.#.##...##.##.#...#.#.##..#..#.#.#.#.###...###.#.#...##.#..#.##########.#.#.#####.#.#.##.######.##.#....#...#######....#.##...#####.#..##.##....#####.....#.##.....##..################.#...##..####.#######.#..#.#.####..#..##.###.###..##..##.##.#.#.........################.#..#.##.#.....#.##.#...#.#...####...##.##....###..#.##.#.#..###.#.........#.##.##.#..#..#########.##..#.....###..#.#...#####.#.###......##..#......##..##.##..###.#.#.#..###.##.##.###.#.##.#.#.######.##...##...#
#....#...#...#.###.####...............##.######..####.##..#.#..###..##.##...#..#..##.###.....#.###.##...##.#.#.......#...####.#..##.###......#####...........#.###.#.#.###..#.##.#.##.##.####...............##.##.#...#######.###.#.###.######....####.#..##....###.#.##....#.#....####.####.#..##..#..##..#..###.###.#..#.##....####.#.....###.##.#..#.######..##.#..##.#.###.#.#.#....##.###......#.##......###.###......#...###.#.###.##..#..#.##...##.#......##...####.####.#.##....##.##..##.##.#...##.#####.#.##.#.#.###.#.#.#..###.###.###.#####.###.##...##.#.#.#.####.#.#.##.##.#.#...##.....#.##...####.##.###
####...#...###.#......#######.##.#.##.#..#.#.#..##....###.#.##.####....####.##.##......#####........#.#..###########.###.#.#..##..###.##.###...##..#########.#..##...###.##.#.##...##.....#...#.##.######.#....#..###.#.#.###...#...#.#.#..####.#..##..##..####..####.#####.#.#.##..#...##.....####.##.###.##.#...#.#.##.#..####..#...####.##....#...##.###..##.#..##.##.#.#.########.#.##.#.######.#####.###..##.####.######.####.#.#....##.####.####.##.###.##..###...#####...#.#####.##....##.....##.##..###...#.........##.#.....##.#.#.###.#............##.##..#.#....##......#.........#.######.#..###..##...#..##
##########.##..#.####..........#########...#.##.#####..#..#.#....##.####.##.....#.####.#.....######.#.####..#.#......#...#.#.##..###......###########......#...#####..#..#.....##.#######.############....##.#...##...#.#...###...#.......##..####..##..##.#.##.##.####.#.#.#.#####.###.######..#.#..#.#......###........#.##..##.##.##.....####...###......##..##....##.#....#.#.#.###......###.....#########.#.....#.#..#.#..#.#.#.##.###...##...#.#.##.##..#####.###.#.#...#.#.#.###.#####..#####.##.###...###.#####.######.##.####.......##.######.#.##.###..#.##.#.##..##.#.#...###########.##.#.#.###..#####.##..#
#....##.#...#.####.#############..#.##.###.......##.##.##.#.####.....##...#####.###......######........#.##.#.######.###.....#..##...###.##..##.#.#.######.##.##.#.##.##.####.##..##.#.#....#..##....####.#..##.#####.#...###.######.####.##.##..##.#..##.....#..#.#.#..#.######.#....#.#.#.###...##...######.....##.###.#.#..##........##.##.##.#####.#.##..##.##.##..#.##.#........#######.#.#####..##.##..#...#####.##.#.##...#.#.##...###.####.....##.###.#.##....#.....###...#.#.#..##...##......#.#.#.###...#.##.....##........##.#######.#.###..####...##.#.##....#.###.#####..........##.#..#.#.##..##.##..##.##
##.#....###.#..##.....#####....##......#.#######.#.....##...#######.###.#####.#.###.#.#.#####.#######.##..#.#............###.##..###.#.#..#.###...#.##.#.#.##.#....##..#..#.#.###..#.#.####.##.##.##....####.#...##.#.###............#..#.#...##..#.##.##.###.#.##...##.#.##.##....##.....#.#.#.###..####.##..#.#.#####......##..#.#.#.###.#......#..#######.##.######.#..#####.####.........#.#..###.....##.###..#.#####.#.####.#...##.###.#.#.##.##.##......#.###.#.########..#.....##..###.#######.#.#....####.#.####.########.####...##.##..#.#.#####.##.##..#.#..#.####.####.##.###.#######.##...#.##.##..##.##...#
#####.#..##.#.##..###.......##.#######...........#####....#....##.......###.#.#.#.###.#.#.....#........##.#.########.###..##..#.##.#.#...##...#.#.............#.######.##.#.#...##.#.#.###......#######......#.#........#.##.#.####.###.#.###..##.#.##..#.###.#..###.#....##..##.#..###.#.........##..##...####.###.##..####.##.########...#####.##.##..##.#.#...##..#.##..#.#####.##.#.####...##.#.##.##......##.#.#.##..#.#.##.##.###..##.....#..####..#.##.#..####.##.###...####.#....##.#..#.###....####..#.......#....#.##.#....###..#..##.....#.##.....###.#.#.####.##..##.....#.####..##...###.#.##..##.#..#..###
###...##.........##...#.######.#.###.#####.#.###.##..#######.#....#.###.#.#...#.#.########.##.#####.##..#.#..##...#####..####.#....####.###.######.#.#.##.#.#....###........#.#.#........######..##.#######.########.##.#########...#.....##..###...#..####.#.#.##.....##.##.########.####.#####.####.###.##.####....#######....##..#.####.#.........##......###..##....##...#.#....##########..........##.#.#..#.#.#.###.#....#.#....#.#####.#.##.#.########...##.#..##...#.#.#....#.##..#.##.....####.##.##.#.#.#.#.##.#.#....#.####.##...###.#####..#####.#.#.#.#.#.##..##.####.#....#.#.###.#........#.##..##.#.##.#
##..#.#..##.#.#.#####.######.#.#.......#######...##.##.###.#.##.#####.....###...#.#.##.#.####.##..#####.#.#.#####.#.#.#####.#.##.####...#.#...##.###.#.#######.#...########.###.#####.######.##.##.......####......#.#..##.##.#.#########.###.#.###.##..##......######.#..#...#..###...#.###...#..##..........####.#.........##..##........#####.###..######.....#####.#####.#.####.###........#.#.#.#.########.......#.#.##.#...###.##...#####.##.....##.#.###..#.##.####.#######.######....###.#####..##.##.#######.##.######.....##..##.###..#.#.##.##.##.#..........##.##....####.###.....#######.####..##.#.....#.#
#..#####..#####.#.#.#.##.......#.#####.........#.....#.#...#######.#..###..####.#.#.##....#....##.##.#.......##.....#..###.......#..#.#.....###...##.#.#.#.#.#####.#.#.......#........#.##.#.#...#.#####..########.####.....#.#..###.#.#........#.#.###.######.##..######.###...##.#.#...#####.#.##..##.#####.#.#######.###.##############.#.###.######.#.#####.##...#.##....#........###.##.#.#############..#####.#......#####..##.#..#.#.##.....#.###......##......#.#..##.#.####.#..###.##....##.##.#..#...#.##.......##..#.#######.#....#.##.#.##.#..##.####.#######...####..#.......#######.......##.##..#.#####.#
######.##########...##########.###.....#.###.#.#####...##.####...#.##.####....#.#...#####.####.......#.#.###..#####.#.##.#######.#.#####.####.#.#....#.#......#......#######.##.#####.#.##.#.##.######...##.#......##.#.#.#.....##.#.#...####.#.#.#.#.#..##.....##.#..#.#...###......#.#.........######.#.....#.#.#..#####..#.##....................##...........###....####.##.#####......#####....#.####.##.....########.##....##..#.####.#..#####.###.#.##....####.....###.#..##....##....#.##.......##.###....#####.#..##.......##..#.####..#......##.##.#.#...#....##.###.##.##.######...#.#####.###..###.#.#.....#
###.#.....#.#.#####.####.#......#..#.###.##..#.#.....#..#.##.###...####.###.#...##.##.##..#..#.#####.######..##..#.................#.##.......###.##.########.#####.##.##..#.#####......#..#.....##....#....######.#..###.##.##....#.#.#.#....#.....#.#.##..###.##.##.#.##.########.#####.######.#.##.#####.#.#.#.##...#.##.#.##.############.##.##############.##.##.###....#####.#######.##..####....##..##.###..##.#....#..##..##.....#..##.#.#####.#########.###..#.#..#....######.#####.#####.####.##.#.#.#.##.#####.##..#.#######...#.###.#####.###.##.#...#.#.####...#.....##..#.##..###.#.#.....##..##...#.###.#
#...#####.......##....#....##.#...##..##..##.##########....#.#.###..###.#.###.#....##..##.##...##.....#.#.##..##.#############.###...##.#####..##.#####.#......###...#..##.#...#.#.##.#.##.#####.###.###.##.#.#.##.#.#############...##############.#.#..######.##.##.......#.#..####.#######.##...##.##.####.....##.#....###..###.#.##.###.###.....##..##.........##.#.####..##....###.#####.########.#..#####.##....####...####....#####.##....#.##..##.#.#..###.#######.####.#.##...#.##..#######.#..#......###.....#..##.######.##..###..##.#.##..##..##...###.#....###.####.####.#..##...#.#.#####..#.###.#.....###
#.#.......#####....##.##.#.######.#..###.######..####.##.#.......#.##.#....#######..##....##.#..##.##.....###.#...###.#.#......#...#........#######.##..######.#.###.#.##..###...####.#.##........#########.#.#..#....#.######.....#..#.#.#..##.....#.##.###....#..########.#.##.#.#...#.......###.##.##..####.#.#####.##.##..###............###.######.##########.##.#.##...######...#.#.##..##..#....##.##.#...####.#....#.#.###.#...###....####..##.##...##.##.....##.#.###..#.####.#..##...##.#..##.######..###.##...##..#.##.#..##...##.##.#.###.###..######....##.#...#..#..#.#.##..#.#...#..#####.#.#.######.####
#####.#.#.#.....#.###....###...#..##.#.#.#.###..##..#.#..#.#####....#.###.##.#.#.##.#####.###############.#.....###.#.#.#####.###.#####.###.##..##..###..........##.......##.#.#..#.###..##.#####..##...#.....##.###.##.#.##.########.#.#.#.##..###.#.##.#.####.#.##........#.#..#.###.#######.....##.##.##.####..######.....##.######.#####.#...##.......##.......#..#..###..#..####.#....##.###.####..#.#..###.###..##.#.###.#.#.#####.###.##..#.##..####.#...####.##......##......#.##.##.#.#..##.#...###...##.######.##.##..#.#.###.###..##.#..##.#.##.#.##.##.#..#####.##.#.##.#....####.###.##...#.#....##.....#.#
###...#.#######.#.##..#.###..#...#####.###.#.##..##.#.####.#.....##.....#.##.#....#.#.#.#.#.#.#.#.#.#.##..#####.##.........####.###.#...#.#####..##..#########.#..#######.##.####.#.##..######....#####.#####....#........#....#.##.....#.#.#####.#.#..#.#........##.#.####.#.##....#..##.##.#####.....#..#.#.###..#.##..#.#.....#.######....###.######.##########.##...##.##.#.##.#..####....#....####...##.#...#.##.######.......###.#.#....##.#.###.#.#..###.###...###.##....####...#...#.####.##...###.###.#...##.#...#.##.##.....#.#.##..#...###......#....#####..##.#.#.......####...#...##..###.#.#.#######.###.#
#.#########.....##########..###.##......##.#.###...........#.##.##..#.#....#...##.#.......#.#.#...#....##.#........#######.#.#........#....#.#..##..##.##..######..##...#.##.##........#####.####.#.##....######.########.####....#####.......##..#.##.#.######.#..#####.......#.##.#.###.#....#.#####.##.#.#..##.##.#..##.#.#.#..........##......##.....#.##.......##.##..##...#..##.#######.#.##....###....#.#...#...#..#..#.###...#...####.......##.#.##.#.#.#.###..###############.###.#..##.....#.#.#..##.##.##....#.#.#...###.#......##.#.###.######.#.####.....###.#.#####.###.#..###.####.##.......##.#....#.#.#
#.#.##.##...##.##........####.###..#.##........####.########.##.#..####.##.#.#.#..#######.#.#.###...##......##.###.#..##.......##.#.###.####.##.##.##...##....####..###....#..########...##..........##.#.........#.##.#..##...##.##.#..#.#.#....##.#..#.##...####..#..###.###.####.#.##..##.#....####.##...##.#..#....#######.##.#.###########.#..#####.#..###.#.#.....##.#..###.###.#.....#.#######.######.#####.###.##.######.###.#.#####..####.##.....#.#.#.#.##..##.#.###.##..#...###.##..#.#.###...#.##...#.#######.....#.#######.####..#.....##.......##.#####.#.#.#.....#..##.##..##..##..########....####...#.#
#....#.##.#..#####.###.#.#.#......######.#####......#.........######.#####.######.#.##.#....#..###.###########.######..##############....##...#.##..###..####..#.##.#.##.#...##.##.....###########.##############...##.##.###.###.#..#########.#..#.##.#.####.##.##...##...##..........#.#######.##.....##.##..##.#######.#.#..#######.####.....##..#.##.##..#########.###.#.###..##..###.#....##.............#.##........#.#.#...##.#.#.#.##...#########.........###.#..#...#.###.###.#.#.#..#######..#....###....#.#.#..#.#####.##.#...####...#########.#.###..##.......#####.##.##.###.###..##....##....##.##.#.###.#
#.##...#############...#.....######.#.####.....#.#.###.###.#.##.......#.....#.#......#.###.##.##.###.##...##.###.##.##..#####.#########.##..###....##.##.#.###.#..#.#.######.##....###....##.###.#...#.#....##.####.#..##..####.#.##.###.#.#.####....#....##.....##.#############.#.##....#.#....######.....##.##.#.##..#.#.##.#.#........###.#.###......##.##.#.##.##.........##.###..#######..#########.###......#.#.##.......#..#...#.#.##.###.#.##....######.##...##.###.......#...#.#.##..##.#...#####.#.##.###.....##.##.#..##...#.#..#.#.#.#..##.#.###.##..#####.###...#.#..##...#...##.#..#.#####.#####..#.....#
#..###.#.##....##....#.#.###.##............#######.##..#...##########.#####...######..........##..#..###.##...#..#..###........##.#.##..##.##.####.........#.#.##.#.#.#.#.##.#######.##.###......#.###.####.##....#.##.#..##.#....#........#.##.#.##.####.######.##.#.##.###.#..#########.....##..###.#####.##.##.#..##......###.###.####.....#.#.##.#.#............###.#####.##..#.#.##.#.#.##.##.###..####..#.##########.#.#.###...#...#.#....#....#########.#..###........#####.###......##.##...#.##.........#.###.#..###..##..###.###.####.#.#.##.....#..##.##.##....###.#.#.##..###.###....#####.##..#.###...#.#.#
##.#......####..#.#.#######..##.#.#.####.#.#..#.#...####.#.#........#.#..####.####...###.#.##.###...##.#.####.##.##.#.#######.##.....##.##.....#.####.####.#...##.#.#.#.#......##.#.......######....##.#....#####......##.##.####.######.#........##..#...#.#.#..##...##...#.#.###.##.....##.##..##....#.##.#.......########.###.....#....#####.#..#.#.#.######.#.#.....####..###...#.##...........#.#.##....####.###.#.#..#.#...##.##.#.#.#.####.#######......#.##.##########.###.#.##.#.#..#..#########.######...#.####.##..##..##....##.#.#.......#####...###.##..###.##.#......##...#.#.####...##..#..##.#.##.######
########.##....######.#.#.##.##.#.###########.....############.#.##...##...........#.########...###.......#.........#.#.#.###..#####.....##.####.##.####...###....#.#...######.##.######.##...#####..#.####.#.#.####.#............#..###.######.#.###.###.#.#.#.##..######......#...####.##..###..####........####.###.....#.#.##########.##.#####...#######.##.###.#.###..##.#.###.#..###########.....#######.....#......##.##.###..###.#.#.###...###..######...##.##................######.#.####..#..####...##.##.###...##..##.#####..#.#.##.######...#.###.#..##.#.#..#.####.#.##.###.#...##.#..##.#.##....#....#.##
#.#..#....####.##..#....#..##########..##.#.###.###....##......######..######.##.###.#......###.....#.#.#...#######.#.#.....##...#.#####.#..#.##.#..##.###.####.#.....###......##...###...#.#..##.##.#.##.#......###########.####.#.##.#.##.#.#####.#...#..........####.###.###.##.##.########.##..#####.#.##.#......#####......##.##.#...##..##.###.##.#........##.######......###.#.##.#.#...##..###..#.#.######.##.##.##..##.#...##.....#.#.##.##...##.##.##.##...###.##.##.#.#.##.##.#...#.#..##.##..#.###.##.#....###.##.##..#.#.#.##...##...######.#..##.##.#..#.##....#####....#.#...###..#.###....####.###.##..#
#.##.####.#.#...##.#.##.#.###.##.##.#.##........####.#....#.##.#...###.#.#.##.##..##.##.#.#.....#.#.#.#####.#...........###.##.#.........##.#.##.#.##..#.....#######.##.######.####...#.######.#.......##.##.###...##.###.####.......#.###.....#.#..###.##########.##.#...###.#.#......######.....##.#...########.####..######.##.....##.##..##......##.###.#.#######....#####.##.#.#..#.#.###..######.##.#..#......####..##.##.##########.#...##..##.###.....#..###...##############......#.....##...##.#.###.#..###.##...##....##.#.#..###.##.###..##..#.##..##...##.###.#.#.####.###.#.###...####.###.##.#...##..##.#
#.........#.##.##..####.#.##...........####.#.#.#..#.##.##########.............#######..#.##.#.##.#######...##.##.##.##.##.....##.#.##.#............##.#####..##.....##..##.....#.###....#.#...#######.#..##.#...#..........##.###.#.#.##..#.#...##.#...#...##.#.#..#.###..#..#.#####.##.##.##.##.##.#####...##....##..##.####..##.#########....#.#.##......#.##########.##....#....##...#..###..###......##.###.##.##.####..######..#.....#.####.###.#.#####...##.#.####.##..#.#...####.#######.##.#......#.....##.#.#..#######.##.....##.#.#...###..##...#..##..#.##...###.#.#.##..##.#...###.##...#.#.##.###.###....#
#########...#...##.##.#....####.##.###.#.#########.#######.#.###.########.##.######.#..#####.#..#.#.......#.##.#...######..##.##..#..####.#.##.##.#..#.#...##.##.###.#..#######...##..##...###.##........##########.##.##.#.####...###.#########....###.###......#.##..###.##...###....#....####..#...######..####..##.#..#....##.....#.#.#######.###..#.#.##.#..##.......####...##....#...##.##...#####.##...####..##.#..####.##.##.#####......#.##..#..##.##.###.#.##....##...###.#..###........########.###.####.#.##..#.##.#.#..######.#...###.##.#..#...##..#######..#....#.#..###...####...#.#........###..##.####
#.#.#.#.###.###.##......##..######.#.........#..##.##.##.#...#.#.#........#..#........##.....##.####.###.##..#.##.##...###..##########....#.##.##.##.....###...#####.##.#.#.#...#..#####.#.#.#..######.###.##.#.######.#..#..##..#..#..#.##.#.#####.#.#.#.####.#....##...#.####.#.####.####.#.###.##.##..####..#.##.##.##.####.###.####.#..####...####.#.#.#..##..#######.#....#.###.#.#.#..#.#..#..#....###.##.###.##.##.#.##.....#..##.#.##.###..##.#.##......#....#####..###.##..##.########.#..##.#....#...##...#..#.##.#......##..##....###.#.##.######..##..##.#.##.#.##.....##.##.##.#..#########.####...###..#.#
#.#..............###.##.##.##..#.#######.###...##...#.#....#.......###.##.##.##.##.#.#######.#####...#...#..####..##.#.....##...#......##.#..##########.##.##.###.......#...#.####.###.#.###.#.##.##....##.#.....#.#...#####....###.#.##.#........#.#...#.##.####.#..###.#..##......#....##.#.#.#.#..###...###..........#.#.........#.#.##.#..#####.#########.###.#..#....######.#.########.#.#####...##......#..##.#..##.#..####.##.##..#.#....#.##.....######.#.##...####..#...##.##.#.#......##..#.####.###..###.##.#..#.#####.####..##.###.#...##..##....###.##..#.##.########.##.#...#.#.##.##.#..#..#.###.#.#.##.#
#.####.##.##.#.#.#...#..#...##...##.##########..###.#.####.###.#.#.##..################.####.....##.####.##..####.#####.##.##.#...#.##.#..######.#......#..##.#...#####...######.........##.....#..###.###...#.#.....#####.######.#.#.##.###.####...###.#..#..#.####.##..#.########.#.##.##.....#.##.....###.##.#.##.##...####.##.#..........###.#...##..##.###.#.##.####.#..#####.##.#.##..#.#.#.###########.#.##....###.#.##.......###.####.###.#..######..##.#####.##..##.###.##.##.#.######.###...###....#.###.....#.##.##....#.##.##..##..#.####.######.#.#..##.#.##..##.......#.#.###.#.....#.##.#.##.#.#...#....#
#.#.#..#######.#...#.##.#.#....#.......#.......###.....##....###.#.#####.##.##....##.........#########....##.#..#....###########.########.####.#.######...##..#####.##..###..#...#######..###.#...##.....#.#######.####.....#..............###....#.....##.##.#.###...##...##.##.#..####..#####...###.##..#..######...###.##...#############.#.#.##.##..##...#............#.##.###.#.....##.#.#.#.#..#.###..#....#.##.#.#.#..#######.#.#..#.#...#.##.#.#..##.#...#..#..##....##...........##.####.#.###.####.#...#####...##.#####.#.##..##..#.##.##.#..#.#.....##.##.#.##.#########...#.##....##.##.......#.#.###.##.###
#...####.##.#####.##..######.#.####.##.#######...##.##....#.##...#.#.........####..#######.#....##.....#.######...####.#.###.#.###.#.##.#.#.............#..##.#.#...###...##.#####...#.#.########..####.#####.#....##.#####.###.###.###.##.########.#.#.........#.###..###.##.#..##..#.#.##...###...###..##.##.#..#####...#..#.#.#.##.##.##....#.#..###..###...#.##.#####...##...#.#.###.#......#.##...#.##.##.#####....#.##...#.#.#.#.##.....###.#..#.#.##..###.##.##..###.##..###.#.###.#..#.#....##.......#.###.####.##...#.#..#..##.##.##.##..#.##...#####.##..#.#.##.#.#.##..###.#.##.#####.#######.##.#.#.#.#...##
##.##.##.#...##.#.###....#.#####....#.....#.####.####..#.#######.#.#######.#..##..##.......##.######.######.....#.###....#................#.#.#.#########.##..#.###.#.##.##.....####......#.##....##.....##...###.##..#.###.#####...##..##.#.##..####.##.######.....##.##..#..#.####......##.##.#.######.##.##...##.##..#...##.#............##.#.##.#.##.#######..###...##.#####.....#.....#.##....###....#.#..#.##..##...####.#.#.#.#.#####.####.##.#.#..##.##..##.##.##.#..##.#########.##.#...##..#######.#.##..........###.##...###.##..#.##.##.##.###..##.###...#.##......##.#...#.#...##.###.#........#.#.#.###..#
#.....##...###......###.##.#####.#.######.#.#.#..#....##.#....########.######.###..##.#.#.######..####......###.#.#.####...#######.###.#############.......##.#.#......#.#####.##..######....####..###.#..###.#######.#.#...#..#..#.#..##.....##..#########.....#.###...##.##.#...#######....##.#..##.##..#.#..#.#.....##.#..#############.##..........#...###...##...#.....##.##################.##.####.#.##...#..####.##.............##.#..#.#.##.....##..###.......##.#.#####.###.....##...#####.#.#........##########.#.#.###.###..##.##..#.##.##.#.##.#....###....####.#.##.###.#.#.###...##.########.#.#...#.#.##
#####....#..##############.#.#.#####.#......#.##.###.########..###.......##....###..#####..#.#.#.##.####.#.########..##########....##...##.##..#.....###.#......#.#.##.#..##...###..#.#.###.##..##.....######...##......###.##.#######.####.#....##.......#.#.#.#..#..###..#....###.##.#####.#..#.##..###.....######.#..####.##.##.........###.###.#.#.###.#...#..#########..#.#.##..##.#..##.##..........#.#..#...##.....###.###.#.#.#......##.#.#..#####..##.##.#.##.#....##....#.#####.#######....#.#######.##..#.##....#.#.#.#.##..###..##.#.##.#..#.#..####.####.###....####.#...#....##.####.#...##.....###......#
###.#.#####...##...##.###.......#.#..######..........#.##.#.#.##.#######..####...##.##.##.##.....##.#..######.##.##.##..###...########.##...##.#######...##.###...#.#..##.####.#.##......##.###....#.#..##....######.##..##..#..##.##..#.####.##..#######.########.##..###.##.#..##.....#....##.#..##.#.#.##.##.#..######....#.....##.#.##..####...###.#.#.###.####.##.#....##.#..#.##..#.##...##########.#.######..##.##.#.#.##..#.###.####.##.#.#.##.#.##.##.#######.#.#.######.#..#.#.....##.####.#.#.##.#...##....####.....#.#.#..##.#.##..#....##...#.##....#.#..#.##.#..##..###.#.##.....##..###.######..##.##.#.#
#...####....###..####...####.##.#.##..#.....######.#.#..#........##.##...##....#...........#####....#.###.#..........##...###.#.####.######.....##.....######...######.#...#.#....###.##.##.#.####.####..##.#...#.######..##.#.##...##.#...######.#.##.#..##..##.#.#..##.#.#####..#####.####.##...##....####..#.#.##..#.##.####.##.##########....#.#...#...######.#..#.####.#..##....##...###.##.#.##.##.....###...##..#.......##.#.#...##....#.#.#..#.#..#.#....#.#.....###.##.#.##.#...##.##..###......##.###.#####.#.####.###...#.##..#..##.#.#####.###..####.#.#.##..###.####.#......#.#.#.#..###...##.##.##..######
###.###..##..##.##.#..########.....##.####.##..##..####.########.......#....##.##.#.##.#####.....##....#..#.#.#.####..###.###...............#.#..#######......#.##.#.#.###.....######.#..........###....###.###....##..##.##....##.###.#.#...#......#..##....##......##..#.#.##..##..#........###..###.##..#.##....##....###########.#.#....######.###...###.#..#.##.#.##...##.#####.####..........##....#.#...######.####.#.#.############.#.....#.##.#.##...####.#####..##.#.......#.####.###.#.##.###............#.#.#.#..#.###.#..##.#.###.....##....#.##.........##.##..#.#..###.#.#########...##.##......##.#.#.##
#.....#####.##..##.#.##.#..#######.#...#######..#####.#.#.#.#.########.##.#.##.##.#.#...##.####.######.##.#.#.####.#.##.#.#...##.####.##.#.#####.###.#...#.#.##.#......#.#####.##.#.#########.#########.#.###.###.####.#.....##......#######.######.##.#####.#######.###.#.#.#..####.#######.##...##....##...#####.##.######.#.##.#....####.#.#.####.###.##..##...........#....#.#.#..####.#######....#.##.#.#...##.####...#.###.#.##.##.########.#.#.....###...##.#.#.##..#.###.###...#.....##....#############.##.....#.##....##.##.##.#...##.####..#.##.###.#.##.#.#...##...##.#...#######.##..####..######.........#
#####.#.#.#..##..#.#.##.##.#.........#....#.#..##.............#.##.....####..#.#..#.##.##........#.#......######.#........#########...####.##..#.....###############.#...............##.#......#.#.##...#.##......####.###.#.##.##.###..#....##.....##.#.#...................##..##...##......###.####.##..#..##...##..#.#.#...##...##....#.#.#.#.#...##.###.#####.#.#########.....#.##.#####...#####.#.##.#.#.#....##.#######...........#.#.##.#.#...#.#.#.#.####.#.#....##...#...#########..####.##............######.#.####.###.##.##...###..###..##.##..#########.##.####.##..##.#####.#..###..#.#.##.#..##.########
#.....#.#...####...#.##.#..##.###########.#.##..######.##.#.#...#####.##....#####.#..####.#.##.#.#...#.##...###....##.###.##.#.##...#.#....###...###.#.##.#.#.###.#####.#.######.#.#......#.#.##.#..###....####.#..##...##########...##.####.######......###########.###.###.##.#####..####.#..##.#.##..#####..#.#.###...#.###.###.###.##.........###.....##.#..######.###.#...#.#......#.#.#.###.....#..##########.#...##..##.##.###.##.#..........#######....##..#.####..##.#######..##.###.##...########.######.##.#...#.##...#.....#.#.#.##.....######.##.#........#.#.#..##.##..##.#....##.#.##.#.##.##.##........#
#####...###..##..#.#..#.##.#####....##.........##.##.######.##.##.##...##.###.....##.#....#.#..#####.###..#.#...#.#####......#.#############...####...............#..##.#.#......#.#.####.#.#.#..#.##.##.###.####.##..#..##.##.#.##.##...###........##.#...#.#.###...##..#...#..#.##..##.#####......###..##.#.####.....###.#.....###.#####.####.###.##.#.##..#.##.#.#........######.###.....#...##.#.########.......###.###..#######..##...##.#.#.#..##..#####.##.##.##.#.##..#.##.#..##..#....###.#.#.#.##..###......###...###.##.#######.#.##.#.###..#.#.##.##.#####.#.#...###..##..#...#.###....#.#.##.#.....########
#######...##.#..#####...##.#.#.####.######.###.##.#...##....#...#.#..#.##########.#####.#.#.##.##.#######.#########..#####.#....#..#.##......###....####.#.######.#.##..#.#.#.#.#######.#####.##.#.#..##..##..##...####.##..##...##..###.#.#######.###.###...#.#.######.####...##.##.###.#.#.###.##.#.#.###.#..##..#.#..#..###.####..#####.####.##.....#..##...#......######.#......#######...#########..#.#..###.#..##..##.##..##.#.####.##..###.##..##..#.##.##..#.##.#.#..##.##.##.###.###.###..#.#.#.#####.###.##.#...#..#..##.#...##....##.#####.##.#.##.#####.#......###.#.###.##.#####.##.#......#.#####.####...#
#.......#......##.#.###...........#.#.##...#....#.#.#..####.###.#...##..##..#.#.#.#.#######.##.##..##......##.##.###..##...##.#.##.#.####.##################.#.......############.#.#....#.#.....#.##..#.####....###.#...##.####.##.##.#.#...#.....#.####..#.............#####.......##......#.###......##..#.#########...##.#.#.#..##.##..#....#########..###.#########.#.#######.##...#####..##.#.#.##.#.#########....##...##.##.###..#############.###....#..##.#.##...##..#..#.#..#.....#...##.#...#.#.#.#.#.###....#.##.#.##..#.#######.##..##.#..#.#.##..##.#.###.######.#.##...#....##.######.#.##..........##.##
#.#####.##.###......####.##.#####......########.#.####.#.#####....#.##.####.....###..#...##.######..######........###....######.#.....#.###.#..##.#....##.#....#####...#..##.#......####.#.#####.#..##.#.##.####.##..##.##..#.##.##......###.####.##.##...####.###.#.#.#.#..##.###.#######.#.....####.#####.#.#.##......###......##.#...#######....##.##..##.#.....##......##......##.#.......###.#........###..##.##.#..##.##.....####.#...###..##.....####.#.##..#.####.###.#.##.##.##.##...###..###.#.#.#.....####.#.#.##....##.#..#..##..###..#.#.##...##.##..#.#...#.##.#...###.##.####...##.#..#########.#####...#
#.#......#####.######.#######.....#.##....#.....#.##......###..##.######....#.#..###...#..###.##.##.##..###.####.##...######.#....#.#....##.##....####.##.###.##...###.#.###...####...##....#.##.##.#....##.#.##.###....###.#.#...####.#.....#######.#..#.#....#...###.#.##....#....##.#.#####.###.#..##..#.#.#.##.####.#######.###...#####.#####.##.....##..#####..######.#####.#..####.####.#.#.##.#####.#.##....#####.....#.#.#.#.##.##.##.##..###.###.......##.#..##....#.#..#.#...######.##..##...#.#.#####.#.####.#####.#.##...##.####.#.##...#..###.##..##...###.#.##...###.#.....#.#.###..##..#..##.##.##.##.###
###.#.#.##......#.##..#.#...###.#.#.#####.#####...#######.....######.#####.#####.#.#.#.##..#..##.#...##..#######.#..#.#........##.####.#..#....##..#.#.##...######.......#.######.###.#####......##.####.##....#.#.###.##.....##.###...##.##....###....##.#######.############.#.##.......##.#.#.#.##..##........#.##.....#.##..#.###.#.#.#.#..#.....#.#..#.##.#.#.##.......#..###.#######....#....#####...#.#####.#.....###.#####.........#...#.##.....###.#.#....#.######.#.#.##.##.###........###.#......##...#.#..####.####.##.###...##.......###.##......##..#..#....####.#.#.###.###.#...##....##.##.....##......#
#...#.####.#.##.#..##.#.##.##...#.#.#.......#.##.##.##..####.##.........####.#.....#######.##....###.##.##.##......###########.##########.########...#..##.###.#.#####.#.#.##.#.#...........#.##....#.##.#####.#.......####.#..#.#.###..####.####.####.##.#..###...#.##.##.#############.##....#.#.##.#####.#.#########.###..##.#..##.....#.##.###.######...##...#..#######.##.#####..#....##...#####..###.#.#...#.#######....#.###.##.###.###.#..###.#.#####.##.#....##........#.......########...#####.#######.#.#.####..#.#.....#.#.#######.##...#.###.##.#######.##.###.##.....#...###.#.#######.#..######....#.####
#.#.#.##.###.#..#.##....#..############.###.........###....#..####.###.##.##...#.#..#.##...##.##.........#..##.########...#....#.##.#.##..#.###..###...###.##..........#...#..#.###.#.#.###########.#.....##.#.#.##.##..######......#####.....#.#.#..#.##.##...#####..........#.#.#.........##......#..#..###...#.##.##...##.##...#######.#..#.#.####.#.###....#...##.###.#.##.#..###.#########.#.##..##.....###.#.#...#...##.#..########........##.#.###.##########.##..######.##.##.###.....##.#..##.#..##.##..#....#.##.#.###.###.....##.#######.#.#...####.###.#.#...##.#####.##.###.#...##.##.#...##.#.#..#########
#.###.##.....##....###.##.##.#...#.#..######.##.###.#.###.##########...#...########.#..###.#########.#.#.##.####..#.#.###...####.##.#.###...#...##...#......##.#.###.#####.##.#.############.#.#......###........##.###.#.##.#.##.#.#.#.###.#.....##.#########..##.####.#.###.......#.#.#.######.##...##.##...###.#..####.##.###.##.#..#..##.#.#.###........##.###.##.#.#.#.#..#.##.............#.###..####.##.#.#.###.######.#.##.##.#...##.#.#..#.#.##....###.#....######.....#####.##..###.#####.#....###.###.##.#...#........#####.###.....##...#.###...##.#.#.....####..##...##..##.#.###..#..##.##....##.#.#.##..#
#.#####..#######.#.##..##..#.###.#...##......#..##....##...##.#..#####.###...##.#.#.#.##....##..##.#####......###......#######..........###...###..#.##.#.#....#.#######..........##.#.#...#...###.#.##...##.#.###..#.#.#.#..######.#.#.#.#######.##..#..##..##.#..#..########.############....###..#..#..###..##.#.##.##.##.#.#.##.##.##..........###.###.##..#....#.#.#.#.##...##############...#.##..###.##.#.#..#.....#...#.##.##...#.#..####.....###.###.#...#.##.##.#####.#.##...#####..#.#...###.##.#.#.#.######...######.#.#.#...##.#######.#.#...####.#.#####.##.##.####..##.#..#.#.##.#.###.###.####.....###.#
###.####.##....###.###..#.##.#...###..####.#.##.#..##..###.##.##.#...#..##.#......#....###.####..#.##.#######.#.#####.##..##...######.#######.##..##..############.....#######.##....#.###.##.###..#.##.#.#..###...##.....##..##.#..#.#.#.##.####..##.#.##..##..##.##.##.#.....#..####.#.#####.....###...##...##..#.##..#.#....#.#........######.###.###...###.#.##...#.....####..#.#...........#......##...##.#.##.#####.###...#...###.#.#.#######.#..##..#..#####.##..#..###....####..##.#.##.###.#...##.#.#.#..###...####..##...#.#.###..#..#.##.#.###.#.#....##..#.##..#.#.##.##..##.#.#.#..#.#.#.#.#.##...#####...#
##.....#######.......##.#..#.###...#.##.####.#########...#..#.#..###.##..########.####.#....#.##...##.#.###......#.##.###.#..#####.#...##.##.....#######.#.#.##.######..############.....#..#.....##..#.#.##..##.#####.######....##.#.#.#.......##.#.....##.#..##..##.##.###.#.##...#.....##.##.#.##...#....#..##.#..#.##.####.#.##.#.######...#.##...####..####.#..#...#.#..##..##.###.#.#.#.#.##.###....#....#.##.#......####.##.##.########.#.#####..#.##.##.##..###.##.#.##.#...##.##....##.#.#.###..#.....#.##.######.##.#..#.....#.##.#.##.#.....##.#...######....##.#.#.#..##.##....#.#.##.#.#...#.#..####..###.#
#..###.###.#.#.#.#.#....#.##.#.###...#...###.#...#..####.##.....##....#.##...##.#.#.##.####.#.####..#.#.#.##.#.#............##.......#.....#####..##..#..........#####.##....#.......###.##.###.#.#..##.##########..#....##.####.#....#.####.##....###.####.##..##.#..##.#.########...###.#...########.#.####.##..##...##.##.#.#.#######.#.###.#..###..##..##.########.#####..##.##.#.###########....###.##.##......######.......#....##.###.#.#...#.##.#.##.##..##..##....#.####.#..#.#####.##.....#.##.#####.#.#..##.#......#####.####.##.#.##.##.##..#...###..##..##....#.#.##.....####...#.##.#.###.#.##..##..##...#
##.#####.#.....#.#.#.##....#.#.#.###.###.#.#####.##.#.##.##.#.#..#.##....##.##.......#...........##.#.#.#..#######.###.#.##.#######.######.......####...#.##.###.......###.#...##.#####.....##..#.########.##.#..##.#.##.........##.#...##.#######.##...#.#..##.##.##.#..#.##.##.######...###..#.#.#.#####.....##....#.##.#....#..##.#...........##.#.#######..##..#.###.#.#.##...#.#..#..##.#.###.###############.##..#.#######.#.##.#...#....###.#..#.#....###.#..#####.##.#..####....#....##.###....#.##....#.#.##..###.##.####....##......##.######.#.####..###.##..##...#.#####.###.###......#.##..#..##.###..##.##
##.#.##..###.#####.#######...#.#.##.........##......#.....#####.########.......##.##...#.##.#.#.##..#...#.###.#.#############.......#......#.###..##..################.....#.#.##.#.....###....##.###.##.#.#....##.....##.##.#.#..#####....##.##...####.#.#.##..#.....##.#.##.#...#.#####.#.##.#.#.#.##..#####.#######..#.##.#.#.##..#########.#......#..##.##..##.#.##.......###...##...##......#.##..#...#.#.#.#..##.#.##......#.######.####.##..##.#.###.##.....##.#....#.#.##..####.####..########.#..##.#......##..####.......#.#######.##...##......###..##.#####.#..###.#.###...#.#.#.#.####.#..##.##...#..###..#
#..#.##.###..#..######.#####.#.#.#..######.########.####.###.#....#..####.####.##.#..######.###.###.#.###..#......#..##.#.#####.#.#.##.#.#.#.##..##..####..............##.####..#.#.##.##...#.#####.#.##.#.###.####.##.#..#######.########.....###...##.#.#.###...#.#.......#.###.#.#.###.#....#.#.#.##.##.#.#.#.##.##.##..###...##.##.........##.#.#...##..#..##....########.#.###.####..######.#####.###.#.#.#.#.##..#..######.#...##.#.#....###.#..#...#.#####.##..###.##.#..##...........###..##...##.#######.#####....######.#####.##...####..######...##..#..##.####..##...#.###...#.#.###.##.##.##..#.###.##...##
##.#.##.#...###..........##..#.#.####.......##...............####.##.#.####.########.##...###.......#..###.######.#.##.......########..#####..##.######.###.###.######.##.#....#######.##.###...##....#.........#.######.##.#.##..#.#......###.#.###.#.......##############.........#.#.....##...#.#.##......#.#........##.##..#.#...#####.##.#########..##.##..####.#..........#...#..##.##......##.#.##......#....##.#.##.#.##...###..#.#.##.#.#.##.###.....##...##.#.#.##.#.######.######.#.##.##.#..#..##.........###.##......#.#.#..###...###...#.##.###..##.##..##.#.###.###.#.###......##..#.#..##.##..##.####.##
#....##.#####.######.###..##.#.#.#.########.########.##.#.##......##....##...##.##.######.##..#.###.#.##.#..####.....####.####.#.##...##.....##..#.##........####......##.##.#.##......#..#...####.##...#######.......#####...###.#.##.##.##.........#####.#....##.#.#.#..#########.#.##########......##.#.#...###.####.#..#####...###.#.#######.#.#.###.#.....##.##.#.#.######.###.#.###..#.####.##...#..#.##...####....#.......#...##.#.####.#......#####.###..###....#.......##....##...........####.#.######.######....######.....##.#.##.##...###.#....##..#.###........#...#.#..###.#####..##.##.##..#.##...##...#
#.##......##....##.###...###.......#.........##..############.###..###.##..#.##.#..###.#...######.#.#.##.#.##..###.#..##...##....##.###..#.#.##.##..##.##.#.##.#########...###..##.#.#.##.#.#..##..#..#.#.....#######.#.#...#.......#########.######....#######.##.#.#.##.#.#............####.######.#########.#.####...##..###..#..##.#.##.##.#.#.#.....#####.##.##.#######....##........####.##.##.#...#####.#....####.##########.##....##.#.######.#.#.#.#.##.#.####.#.##.##.##########.#####.####.#...#.#..#....######..##.####.####.......##.###..##.###..##.#.####.#.#...###.#.##.....#.#.##..##..##.#..#.#####.##
#######.#######.....####.#.#.#####.#########..##.#..##.#.##.######.#...#####.##.##.#.....###.#..............##..#####..##.##..##..########.#..#####.....###.#............###...##..#.######.##.##.###.####.##...#.#...#.###########...##.#.####......##.#.#.#....#.#......#.########.#.#..............#.#.#.......#.###.##.##.#####.##...##.#......#####........#.#...#.#..####..#.#.#.##..##.....##########.######..###.##...###....####.##...#.#....#.#.#.#.##....##..###..#...##.###.#..##.........###.#.##.#.####..####.#...#....#.#######.##...##.#....##.##.#.#.####.#.#####.#..####.##.#.##.###.##..##.#..##.#.##
#...#......##...###.#.#....#.#.........#.#.##.##...##..#..#..##......#..##...##.##.#####..##.####.#.##.#.##..##..##...###.###.##.##....##..#.##..#####.####.##.####.#.##...#.#..##.###.......######...##.####.#.....#....#..###.#.##.##.....##########....#.####.#...#.##.#.#.#....#.#############.##.#.#.##.###.##..##..#.#...##.#.##.####.#####.##.#.####.#.#.#...#...##.#.###.#########.##.##.##.##.##.#.....#.#.##...#..#.....##....#.####.#.##.#.......#..##.#####...##.#.#.#..#.#.####..##.##.#..##...##.#.##.##......###.###.##..##.#.#.#..###..##.###..##.#.#...####...#.#.##..##..##......##...#.###.#.##.....#
###.#.###.#######.......##.#########.#.....##.####..##.##.#.######.###.#####..#.#..#..#..##....##.#.##.####.##..##..#...#...#.#..##.##....######.......#..#######...####.###.##.##.########.###.#...#.#.......#.###.####.#.##........##.###.#........####..........#.#.#..#.#.####.####.#..........#.......###....##.###.#.###..#....#..#.#..###.....#...#..###.#######.#....#...##.##......####.##.##.#..#####.....####.#####.########....##.....#########.##.....#.##.########.##.#.#.#.#####..##.##..#.###....##..######.##...#...#.##......##..##.##..#.##.##.#.#.###.####.#.#.###.###..##.########.#.##..#..###.###
#.....#...##.#.##########...#.####.#######.#..#.##.##........##.#####..#..###.#.##.##.##..####.#..#..####.#..##..##.###...######..#########.##...####.###..#.##.#####....##..##.####.###.##.#...#####.##.########...##.....#######.#..####..#######.###.####.###.#.###.##......##...##..####.#.###########..#####..........#.##.##.#.#.##.##...#####.#.#...####.##.#.#..####.##.###..######..#.#..#.#..##.#...#####.#....#.....#...#######..####.###.#..##.....###...##..#.##.#.....#.....#.#...##..###....#####.#..###.#.#.####.###.#..######....##...##.#.##.#..#.#..##.#.#........#...##.##.####.##.......##.##.....#
##.######.#..#..###.#..####.........#.##.....##.....##.#####.##..##.##.#.##.....#........##.##.########.#.#.##..#########....#.##..#.##.###..######.####..##.#...#####.#..##.#..#.##.#......###.#.##########.#.##.#..###.#...##.#####..#.##.#.#.#.....#..#.###...#######..####..###.#..##..######....##.###.#.####.#.###.#...##.####.#.#..##.#####...#######.......#.#.##.##.#..#.##.##...##.#.##.#.##.#..###.###.....##.#######.#.......#.##.#..#.#.##.###.##.####.###.##.##.#####.#####...#########.####....##.#.###..#....###...#.#.##.#..####.###.##..#.##.#.##.#.###.#.######.###.###...#......##.####.###..##.####
####.##.#.##.#.##.....##.###.###.##....#####.######..###.##...##..#.......#####.######.#.....#...#.#.#.......##..#.#....#.####..##.#.#....##.#.###...#.##....###....##.##..####.#....###.##.#.....#..##.#.......#.####...###....#.#.##.#..#.#...#####.##.#.##..####..######..##.#.#.#.##..####..####........#.#.###########.##...###.#.##....###.###..##.###.##.##.#.........##.......###......##.#.#..##..##.#.###.####..###.##########.#.##.#.##.#..#.#.######.#..#.#..#.##..........###.##..#.#.##.#.##.####......##.###.##.###...#.##.##.#....#.#..##.#..#.#.##.#.##..#.###....##....###.#.##########...#...##..#.##
#.#.......##.#.####.#.........########.......#..####.##.....#..##.###.#.#........##....##.##...#.......#####..##...####.#.#..##.#....##.####.#...###.#..###.#####.#..#####.#....##.#.#.######.###.##.##.#######.#.##...#.#...##...#.#..##.#.###..........#..#####...##.##...##.........##..#.##.##.########.#.#.#.#.##..#...###.##...#.##.##.#...#.#.##..#.#######.##.######.########.#.####.#......##.###.##.#..#####.#.##....##.#..#..........##.##.#.#..#.#...##.....##..#######.##...#..##.#.#.........##.#####.##......#....###.#.#..##.####.#.#.##..##......#.#..##.#.#.####....#####.....#.#####.###.#.#####....#
#...#.#.#........##.##.##.##.##.#..#.#######...##.....##.#.###.##..#..#.##.##.##....#.#######.#####.##.#...##..###..#...#.#.##..###.##...#.#.###.#.#.##.##...#.#####.##.############...###.#####..#......#.##.#.######.#.#.#.#..#...##........#######.##.#.##.#.##.##..####.#..#.#.###.###.#.#..##.##.............#.###.###.#.#..###.#.#...#.###.#.#..##...##.#....#####...........#..#..#########.##..#.#.##.##.#.#.#.#..###.###.##.########.#.........##...###..###.###..##...#.####.#...##..#.##.##.#.#.#....##..#######.####.#.#...##..#.#....#.#..##.#######.#...##..#.#.#.####.####.##.####...##...#..#.#.#...#.##
#.#.#.#.##.#.###..#########..#..##.#.##.##.#.#######.##..#.#....##.##########.##.#######......#......#.#.#....##.##.###.#.#..##......###.#.#.#...........##.##.#.##.......##.#.##....#.....#.#.##...#.##...#.....##.###########.#.#....#.#.##...##....##.#.##.#.##.#..##.#....########.........##.....#.#.###.###...............##...#...#######.#...##..###..####.#.#...#.#######.##.##....#.#....###.....##........#.##.#.#.##...#.###...#..##.##.#.#.###.#####.....##..#####.#.##.#####..##.#.#######.####.#.###....###..##...#.###.###...####.#.#.###.#.##.##...#####.#.#.#..##.....#.#.....##.###.#.##.#.#.##.#####
#.#.#.###..#####.####.#...#####....#.#.....#.#.##..#..########.##..###.##.#.######.....######################.##.#........#.######.#..##.#.#.###########.##.##...##.#.#.#....#.###.#.#.#.#........#.###..#...###....#..###..#.#.###.#.##.######.###.#.#....#.......##.#..####..##.#....#.##.##.#####.######...##..#.###.#.#####..###.###..#.#..#.##.###.##.#.##..#.....######..........####...####...#####.#########....#.#.#..###...#.###.########.###.#.#.##..#####..##.##......#..##....##.....##.##...#.###.#.#.####.##.####.#.......###.##.....#.##....##.#..###.##..#...##.###.####.####.##..#.###.#..........##.#
#.#.#.########....#.#.##.##.#.####.#.###.#.....###.##..##.#.....##.#.#..#....##.####.###.###.#.#.......#####.......######...#.###..##........##..............#.#..###.######.....#.#.#.#.##.####.#############.####.#.##.##.#...#...#..#####.#...#########...#.###.##.##.#....##....##.#######...#.###.#.###.#################..##.#.##..##.##...##.##.......###.########.#.###.#.###.###...#..#.##.##.#.#.#.#.......##.....#.##.#.#.#.#....##......#........##.....##.##..######.#.######.#####.##.....###..#.......##...#..##....#####.#.#.###.##......####..##..##..##...###.......#.#..##...##.#.##..######.#####..#
###.###.#.##.###.##......#....##.#.#.######.##..##.##.###.#####......##.##.#....#.#..###.#.#.#...###.###.#...#.#.#.##...###.#...######.####.##..##.#.###.##.#####..##...###..###.############..####...#..####...##..#.##.#..#####.####.###.#.###.#.#.#.##########.....#..####.###.#..####....###.#.###....######.............##.........###.####.#...#.#####.#....#.###.#....##.#.###...######.........#.....####.##..#####.#.##.###.#.##.#..##############.#######.....##.##.#.....##.......#...#..###..###.#######..###.##..#.#.##.#.....#.#.######.#######.####....####.##########.#.#.##..#.#.....##.#.##.......##.#
#####........##...######.####........#.##.#..##.##.#...#....#.#.####....#####.#.#.##.#.#.#.....####....#...#.#.#.######.....###.#.#..###.....##############.#.#.##..##.##.######.##...#.#.###.##..###.#.##..###.###....#.##.##..########.#....#........#....#.#.#####.##.#.####.####.##.##.#.........###.##.#.#..#.########.###########..#..#.##.#.#####.......##.#.#.#.####.######.###.##.#.##.#.####.###.###..#######.......##..#.....###.##..#.##..........##..#####.#...#.####.#########.###.#####..##...###..###..##.##.######..#####.#.#...##.#.####..#.##.####.##....#.#.##.##...#.#..##.##.####..#.####.######.#
#.#######.##....#..#.#....#.##.###.#........##.....###.####.#.###....##.#.#.###.#.#....#.#####.##...##...#.#.#######.###.##.......#.########..##.##.##.##.#.#......##..#...###...####.#.#.#.#..##.#.....###.......####.#.#.....###..#.##.##.#...##.#.#...##........#.........##.##...#...######.###.##.#.##...########......#####..##.#.##.##....#..#..######.###.#.#.#...#...##.#..###.##...#..#.##........##.####...####.#.####.####.##....##....#########.##..###.##.###...#.#..##..##.##.##..###...####.##...##...##..#...######.##.#......###.......##....#.#....####.##.#.##..#.###...#####...#.##....##....##.#.#
#.#.#.########.###.....##......#####.#.###.#####.#...#.##.#...########....#.##......##.........#..#.##.#.######.##.......##.##.##....#...###.##..#...#.#....###.##########.#.###..##......#.#.##....#.#..##.#.###..#...#.#####.#.##.#.#..#####.#######.###..#.##.#...#.#.###.##.#..###.#..#.##..#.........##.##.#.##.###.##..##.##.##...##.#####.#.##.##.##.###.......###.#.####.##.....####.##############.#..##.#.###....#..#.#.#.#...##.#....#####.##......##.#...#....###...##.##.##......##.#.###.####.#..######..##.###.#.#.##.##.####.#.#.####.#.#####.##.###.##....##....##.#..##.###..###.##.###.#####.####.#.#
#.#.............####.#####.#.###.##..#...####....###.#..#...#.#.#...#####......#.#.####.#.##.#.##.##########.......##.##############.###.#.#.###.#.#...####.##..##..#.#.#..#.#.#.######.#.....####.#####..########.##.##.#.##.........##.#.#.###.##.####...##.#..##.#######..#..##.##..##......##.#######..............#####.#..#...###..#.#.#......#.##.#....###.###.#.#.#.#.#...###.#..#.......#.##..#......###.#.#.######.##.......#########..##....######.#..###.##.###.##.##.....#####.#...........##..#.##....##..#..##.#.#........#####.#..###.#####.#.##.#...####.##..#.###...##....#.##.......##...#.#..##....#
#.########.###.##....#.....#.##.....##.###....#.####.##.#####...###.......#.#.######.######..#.#..#.....##.############....#..................##.####.##.#...##..##.#.#.##.......#.##.#######.#.######.##...###.#........#..#########....#.#..##.#....####..###.###.#.....##...###########.#.#.#####......##.########.###....##.###..###.....######.#.##.##.###.####......#.#.###.######.#.#.###....##.#.##.####..#...##.....########.##.##.#.#.######.#..##..#.##.#.#..##..##.######...#########.####.####...#####.###.##.#....###.###.##.##....##....#.#.....#.###..##..#####.#.###.#####....#######..###...#.##..#.##
#.##........##.#####.#.##.##..####.########.######.......#....#.#.#############.#...........#######.#.#......#.#.....#####.####.############.##...##..##...#..##.##.#...########.#.#..#####.......#.#...#.###.#.#.#.##.#.#.##....#.####.##.##.##...##.#.#######.##..#####.####.#....##..####.#.#.....#.#.##..###..........##.#...###.#.#.#####........##.##.#.#......####......##.#.##.#.#########.##....#...#.##.###..#####..#.#.###..#.#..#...#.##.#.##..##.#.##.#.##.###.##..#.#.#.#...#####.###.....#.###..#.#..#.#..#.#.####.####......#.##..####.#.#####.#.#.##.###..#.#..#.###..#.##.####.##.#..######.#..##.####
#.##.###.##..###.....####.#####....##....#######.##.#.##.###.##.........##.#.##...#.#.#.###.##..############...####.##.#......#.####.##.##.#.####..##.#######..#.##...###....#.......##.#.#######.#.###.#.#.#...########...###.#.....#........###.###.#..##.....##.##.....#....#.######.#....#.##.#.##.#.##.##.####.#.#.###....#.........##.#####.##.##...#...#########.######.##.........#.##.#.#..#.#.####...##.....##.....##.......##.##...#.#..#.#..##.#....##....#...#.#..##.#.#.#.#...#....###.##.......##.##.#.#.##.#..#.#.##.####.#######.#.#.....##.#...#.##.....##.##...#.#.##....#.##....#.###.###.#.##...###
#....#...##.#######.###...#.....#.####.#..##..#.....###......#..##.####.........#.#####.##...##....#.##.#.####.#..#.##...####.###....#..#....#.#..##.....##.##...##.#..#####.###.###.##....#.#..#...#.#.#.#.###..#.#.#####.#.#######.########...###.#.##.######.#########.####.#.#.##.#.##.#.#########.#.#..#.......#########.##.#.#.#.#..#.#..#####..###...###..##.....###.##.##########.#..#.....##########.####.##..#####..#######.##.##.###.##.....###.####....##...#.#.##..#.#.#######.####.....#..#.###.##.#....#.#..#.##...##.##.#.##.##.......#####....###.######..#....###....####....##.#...#.#.#......###..##
##.###.#.##.##......##..#.##########.####..##.#####.#...#.##.#.########.##.#.#.#####....#..#######.#.#.....##..##.#.#######....#####.##.#.##...##..####.##.....######.##..##.###.#....#.##.#.##.###.#.....#..###.#............##.#...#.#....###..##.#.##..##.####................#.#..#.######....##.#####.###.#.#.##.....#####..#.######.#.#.##.#.##..###.##.##.######.#.#.#...#.##.#.##.##.#####..##...#.....##...##.......##.#.....##.#####...#.###..#..#.###.#..##.##......##....#.#.#..#....##.#####.#...##.####.....##..#.#.#..#.....#.#..#####..##.####...#.#.##.##.####...####.#.##.########.##.#.#####.#####..#
########.#..##.####.#..#####..#..#.#..#.##.#....#...#####.#######.......#..#.#..##.#########...#.#.#.#####.###..#.#.#..##.####.#.##.......####..##..##..######...##...##.##..#.######.####.#.#....#.#.###.#.##...####.###.###....###.#.#.#.##...##.....#.##...####.##.#.########.#.##.#..##.###.###..#######.#.###..##.##....###.#.##.#.#...#.#....##.##......##....##......##.##.#..#.#...........#####.####.####.#########.##.#.#.#....#.#.##.####.##.##.#.#.#.##.##.#..#.##..##.###.#.##.#########.#######......######..#.####.##.#####.#.######...##..##.###.#.#.#..##.##.#.###.##...##.....###........##.#.##.#..##
#.#......###############...##.##.#.##......#.##...#.##.....##.....#.###.##########.#.#.#...#.#........#.##.#.##...#.##.#...#.#.#.#..####.##.###....##..##..#.##.#####..#..##.#.##......#.#.#.####...####....####....#########.##.#.#.....######..#####....##.##..########........#.##.#.##......#...##.#..##.###...#######.#..######......###.##.#.##.####.#####.##....####.##.##.##.#...#.##.#.##..#.#....##.##.###.#.#......#.#######.##...#...##..##.#..#.#.##########.####.##...##...#...####.##.....#.#..#.##....#...##..##......#.##.#..##..###..##..#.#...#.#...###.##...#.#.#..####.#####...########.......##..#
#...#.#.#####......##.####..........####.#...##.#######.#.##..#.#.#.#...##..#.###..#.#.#.######.#####.........###........#.......##########.....##..##.###.#.#......##...##.....######........#...#.##...##..##..##...........#......###.##.#.#.##..#####.##.##.###.##.####.##.#......#..######...#......##..###########...##..##.#####.#.....####.##.#....#...#..##.#.#.....#.#..#..##############.....##........##.#.######.#.##......####.##.##..##..##...#..##.#.##...##...#..####.#.###.#....####.#.....#####.##.###.#..########......##.###.###.##..##.###.#.#.####...###.#.#.#.##.#....#.###..#..#..###.#####..##
#.#.#.###...######.#....###.###.###.#.##.##.##..###...###..##.#.#######.###...#.##.....#.#.##.####....#.#.###..###.##.#.########...#....#.########.##........##.#####..#######.##..####.#.#.#.###.#..##.####.##.##..##.#.#.##.#.#.####...........##.#.#.#.##..#.#.#.....#.#######.#.#...###.#...#.##.#.#..##...#.#####.#######.##...#...####.##.#.....####...#.##.##########...##...##..#.#.#####...#.###########.#.....#.......######.##.##.....##.###..##.##.##..#..##.###.#...##..###.##..####...#####.#.###..####.###.##..#.##..######.##..#..#.#..##.##.#.#.#.#.##.##.##.#.....#.##.##.###.##..##.##.###....#.##..#
#.#.#######.#..#.#...##.#.#..######...##.########.###.###.#########..####.###.#.#..#.#...#.#..##...#.####.#...##.########......#.#.####...##..##.#.#########.#.....###...##.....##...######.#.#.####.####....######..#################.########.##......#.##.##.#.#####.#.##.##.#####.###...#######..####.####...#.##...###..#..###.######...##.#####..#...########.#.#...####.##.#..##.#.....#.##.######.#.##.#..#####.#####.#..##.##.##.#..#.#.....###....##..##...#####.####.####.##..###.#.##.#..##...###.##.##.....#.##.##..#.##......###.##.#.##.##.##.#.#......#.#..#..#####.#.##.#.......##.#..##...##.###.##.##
#######.....##...##.##......##......#..###..............###....#..##...##.##....#.######.#.#.##..#.#.#.######.##..........#.##.###...####.##.##.....##.#.......#####...#.######.####.#.#.####.#.#.....####.#..##.#..##....#.##.#.##....###......#####.#.......#.#..#.#.......#...#.#..#####.##...###.#......####....###...##.##.##...#.#...#..#.#.#.##.##.###.##.#......#...#...####.##.#####....###.............##.......######............#######.##.####.##.####.##.##...#.#.##.#..##..##.#.####.#######....#..#####...#...##.#..######..##....#.#..#..##.#.######...##.#.###.##.#.#....##.####..#.##..###....#.#...#
#.......#.#..###.##..##.##############..#..###.##.#.###...####.##.####.##..####.####..##.....##.######.#.#.#.....###.#.#.#####.##..#..........#.##.##....#####.##.###.####.#......#....#..##..#.#####.#..####..#.########.#.##......#.##...####..##.########.##.##...#######.###.#.##.#.##...###...#.####.#......#.##.#.#....#..#..#...######.#.#.#.#.......#.##.####.#.###.##.###...##..##.###.########.##.##.#..##.####....#.###.##.##.##.##......##.###...#..##..#..##.#......#.#.####.#.....##...##..#####...##.....#...###..##.##.#...######.#.##.##....#....###.####.#.##..#....#.####...####.#..#.###..#.##.##.##
############..##....##..#.........#####.#.#############.###.#..#........##.#.....#.##..###.######.#.#..#.....#.#..##.#####.#......##.#######.#####.###.#.#......#.#.#.#.##.######.####.##.#..##.#.###.#.###.##....###.#........########..#######.....#...##..##.####.##.#.#......#.##.#.###.##.###.###.########.##....######.##...####.#.##.#.#.#...###.#####.#....#######.......###.##.##..#....#.###.##########..###....##.#.###.#..####..####.##..#.#...#.#.####.##.#########.#...#.#..#####.###.##..##.#####.#####.####..###....##.###....##....##..####.###.##.#..##..#.###.##.#...#####.##.#..##.#.#.#.#####.....#
##.##.##..###..#.####..##########.#.#.#.####..##.#.#..#..##.##...######.##.#####....##.#.#..##.#....##.##.##############.....##.#..#######.#.#.#....#########.#.#.#.#...##.#.##.....#...#.##.##...#......#..####.##.#.#.#.#.#.##.###.######....#####.#.#..##.#..#.##........####........#.#.....##.##...........#####.##........#.#.............###.##...###..####.#.#.#.#######.#.#.##..##.####.#.#.#..#..#....##.##..##.#....#.######.#####.######.#.###.#....#.#.##.#.##........#.#.#.##..........##..#.#.##..#.#####.###...####.##...#.####..##.##.##.#..#.#.##...####.#...#.#####.##...####.##............#.#.##.##
#..##.#..##.#.####.#####.##..............#.##.##.#.##.##.#.....###......#.....##.##.#....##.##...##..#.####.#.#.#..###.#######..####...........###.##.#.#..####.#...#.####...####.#...#.#.....###.######.##.#.##....#.#######.#......#.##.####.##.#..####.##.##.#....##.#.#.#....#.###.##.#####.#...#.#.#########.....#..#####.#########.######........###.##.##.......#.............###..#.#.##.#...##.##.####....###########.#.#..##...#...............#.###.##...##....####.###.###.#..#.#.#.####.###.#.#.###.#.#.###...###..##...###....##..###....##.#.##.#.#..###......###...##...#.#####...###.#####.####.####..#
#.##....##......##...##..#..#.#.#.####.#...#.....#....##.###########.##...#.#....#..####.....#######....##........##.#.#.##.##.###.###.#####.#...#.##.....##.##.##.##..#.##.##.########...#.#..##.##.###.#..#.##.##...###..#######.#............#.##.##...#.......#.###.#.#.##.#.###...#..##.##.###.#######.##.######...##...####..#.....#......#.####.###.......#####.#.####.###.##...##..........###......##..##..#.##.#.#...#.##..###.#########.##.######....#.#####.#......#....##...##.######.#...............#.#.###...##.###.##.#.##.#..##.#.##......#..#.##.#.######..###.####.##..##.#.#######......#...###..##
#.#####..######.####..##.##########....#.#...###...##.....###.##.###.#..######.#.##.#.#..######.#.#..##..########..............##...####.#...###...######.......##..##.#.##.##.#.#...###.#####...........##.#.######.##.##.#.#.################...#...###...###.#.#.#...#.############.#.##...#.##...#.##....#.#.###..#.####..#.##.####.###.###.###......###########.#...#..###...####.######.####..#####.#.###..##..........#.#.###...#.##.....#####..##.#..##...###.#############.####.######....###############.#.#.#.##.##......#..####.####..#..######...##.##....##..##..##..#......###...##...#######.#.###.##..#
#.#.#...##.......#.##.##.#.#.#..###.#.##.##.##...#..##.##..........######...######....##.#.#.#....######........##.#######.#.#.####..##..#########.....########.##.###.#.##.##.#.###.#.###.#...###.#.#.#......#.#.#...#.#.........##.#.####...###.##.##.###...###.#.#.#.#.###.#.#...#.....###.#..#.#.#.#####.........####.###.#..#.#.##########.#######.##...##.#......####.#######......#.#####...##.#####...######.#.#######.#.#.###.#..#####.......##..####..###.#.##.######..#..#.#....##.##.#...........###...#.#.#.#...######.#.###....##..#######.####.#..##.####..##..####.##.###...###..##.##.......#.#.#.##.##
#...###.########...##..#.#.....##...############################.####.####.##.#.#..##......#.####..##.#..######.#####......#.###....####.#.#....######...##.....##.##..#..#.##.#..##.#.......#.#...######.###.#.#.##.##.###.#####.........###..#........##..#.#############...#.#.#...#.#..#....####...#.###.#.####.##.#......#.##.#..#..#....###........##.##..######.#....#.#...####.#...#.#.###.##.#..###.###.#######.####......#.#.#.##...#.#####.###..####.##..#.#.......##.#.##.#.##.##....##.#.######.....#.....#.###.###........####....##.#.#....#.#...##..##.##..##..##..##.#.#####.##..#..##.####.#.#.#..#..#
##.##.#.#..##..##.####...#####.####.##.##.......#.###.##...................#......###.#.##...#....###...##....#.#.#.#############.#..#.#.#.##.#......###.##.#.#..#..##.#.##.##.##.#..####.####.##.##..##..#.....#.#.....#.#.#.....#.#.###.#.##.########.#######.##.#.#.#.#..#...####.#####.###.##.####.#...###########.###.##......##.##.####..#####.#.#.#...##.##...######...##.##.######.....#.#.##...##.#......#.#.#.....####.#.......####.####.#....##.......##.#.###.###.......#.#.###############.##############.#.#.....########.##.####.##...####.#.###.#..###.#..####.###.##....#.##..##.#.##..#......#...##.##
#..##.#.##..##......####..##.....##.#...####.##..........####.##.#.#.#.#.#...###.##...#.#..#...##.#.###.###.#.............#.#..#####...#.#.########.##.#..######.#.##..#.#..##.##.##.##.#############.###.#.#.#...###.###.###############.......###.###.#.##.#...#.#...#.######.##.#.#............#.##.##.###.##...#.#.#######.###.......#.###...#...###.###.#...##.##..#.###.##.#..#.#....#.#......##.##..#.####.#.#.###.#....####.#.##.#.....##..###.########.##.....#####..#.#.#.......##.##.#.###......#..##...........#####..##.#......##...#.###......##..#.##.....###.#..##.##.##....##..#.#.##.#######...#.....#
##.##....##.#..#.#.##..##.#..###.#..###..#.######.#####.###...#############.##...##.############.....####.####.##.#####.#...##.#.#.###.......##........##.##.#.#.#.#..##...##..#..#...#.##...##.......#.########.###...#...##..#.#.##.....###.#.....#.#.#..#.#.#.....#.....#..#.##.#######.#.#.##...##.........###........##.#..######.#.#.....#...#.#.....#...###...##.......##.##.....#.#########.....#.####....#.#..#####.###..######.#####..##.....##....##..##.####...#########.##.###..##.#.#.######.##..#####.#####.#..###....######.####.#.#.####.#####.#..##.#####....##...#.#####..##.#.#..###.##.###.######.#
#.....##..#.######..##..#.#####..#.#####......#.####....#.##.##.#..###..#...#..#.#####.#.##.###..##.##.#...##########.#####..#.#...####.#.##.######.##.....#.#.#.#.##..###.###.##.###....##.#########.#..#.#.........#...#####.#.#..#######.#######.#.#...##.######.######.##...#..####....#.#.####....#.#.###.....#.#.##.##...##.##...#######.##.########...#...##.#########..#....###.###.#.###...#.#....##..##.#.##.#.#.....##.##.#....#####.#..#.#..####.##.##...#####.###.#.#...#..#.##.##.#...#...##.###.#..#####......##.##.#..##.##..#.#.#.#.#.#..##.##...##..#.#.####.####......#####....##..#...#.#...#...####
#########.#.#..####..##.#.#.#.##.####....##.#...##.##.#.#..####...##.##...####.###.#......#.#.####..#....#..#.##.#.......###...###.#....#.#.........######.#.#.#.#.##.###...##....#.##.###...##...#.....##.###.#.#.#####.#.##......##.##....##.#.##...###.##..#.##..#.###..####.#.##.#..##.#.#.#....#.##.#.#...#.#####.#..#######....#..#.##.#.#..##.......###.###...##...####...##.######......##.##.##.#....##..#.##.#.###.###.....###.##...#...#####.#....##..##.##.##........######...#..##.###.###.##.#...#.##.##..####..#..####....###.......#.#.##.##.##.#####.....##.#.#....###.##.#...####..##.###.###.#.###.##
##.#.#........##.##.##......#.#...#.###########.#...#.###.####..#....####.#..####....#.##........##...#####....#.####.##.#...#.......##.###.###.#.#.#.##............#.....#######......#.##.#####.#####.##.#########........######.#...####.#.....###.##..##.##..####.....##.........#####.###.###.####..###.#.###.....##..####.#######.#.#..#########.#.####...#..#####.##.#..#..###......#.##....#########.####...##.#.##...#..######...###...#.#.....##.#....##..##..########.##.#.###.##..#.##...#.....###.......########...###.####.#.#######.#.#.....#.##.#..###.####....####...#.##.##.##..##.##..##..##........#
#....########.##.##.#######.#.##.##.#.###.##......###.###..#...#####...#####.##.###.##########.##########.####...##...##...#.##.####.########...#####..###.#####.##.#####.##.##.######.#.#..#.##.............###..###.#.##.##.#.##.###.##.#.#####........##...##.#..#####.#..#######.#.#.#.#...#####..####...#..####.#..##........##..#...#.###..##..######.#.#.##.##.#..##.##.#####..#.#.####..#.##...##.#####.#.#.#.....###.#.##..#.##.##...#########.#######.###..##.#..####..#....###..##.#..###.#####...###.#.###......###..#.......#.#.#.#.#...#####.#.##...##......###.##.##.######.#...##....##.###.##..########
####.#######........#.#.##.................###.##..####.##.#####.#####.#.#.#.#...####.##.#......##.#.##....###.#....#..##.##.####....#....##..####.###.....#.....##..#.##.#...#.##.##....##.#..#####.#.##.##.#.##.....#.#..##.#.............##.#..#.##.#..###.##.#.##.....######.....#.#.#######.##..##.####.####.##.######.###.#..##.###.#.#.##..#.##........#....##.##.##.#######..#################......#.#.###...#.#........##.#.#...#######..#.#..#.#.#...#.#.##..#.##..##.###.##.#.##..#.##.#.##..#.#..####.##..##.######.###.###.....#.#.#.###.#.#...##.#####.###.#...#..##.#..##..##.#####.###.#.#..##.##.##.##
####.........##.###........#.#####.#.##.##......##..##.....##.#..#.##........##.##.........#.##..#......##...#################.####.#####....##........#.######.####......###.#.#...##.#....#.##..####.#####.#..##########....########.##.#......##..####.#.#.##.#.######..##..#.###...#..##.##..###.##..##...##...######.########..........#....##..######.######.....#.##...#...####.#.#.#.#.....#.######......########.####.###..#.###..#.#..##.#.##.#.#.###.....###....##........##....##.#......###.####..##...####..#.#.#..#########.#...#.#..##.#.###.##.#####.#.#####.##.##.#.##..##...##...#.#...#.##..##.#...#
#....#####.######...#####.####.#...######..#.#.####.######..#.##.#.#..#.####..#.#####.####.#####...####.####........###.##..#...#####.############.#####.##.....#..######.##..#.###....####.#.#..##.####.#.#.##..##.##..#####.##.#...########.##..####......#.##.....#.#..####.#######.#.##..#..##.#..#.#####.####...............##.##.####.###.####........#......###.#.####.##.##.##.........#.#...###....####....###...#......##.#..###.#.##.#.....#.#.#.#.#.#####.##.#########.#..##.#.#..######.#....#.##.###.##.#..##.....##..##.##..###.....##..#.##...#.#.##..#..##.#.....#.#....####.##..###.#.###....##....###
#.#.##.....##..####.#.....#.#....#.##.....##.#.#.....##..##..........##.##.##....##.###..###...##.##..###.#..#####.##...###.#.#..........#.###.###.##....####.#...##......###.#.####.###....#.##.##.#.#......###.#..##.##.#.#.#..###..#.##.#########.######...#..#.#.....###.#..##.#......##.##.##.##.....#####....#######.###.#########.........#.############.#.##......#.#.#.....###.##.#.#######...#######.####.#.##.#######..#.##.#.#.#....##.##.#..........##.#.##.#.##.#.####.#####.##.##..#..####...............#######....##.....########..##.#.####.#....##.#.##..#####.#.#.####.#..##.####....#####..##.#####
###.#..###..##......###.#.#...##.##################.##..##..#####.#.#####.....#.##..####.##..#.######..#..#####..#.####.#.#...##.#.##.##............###.##....#.#########.........#####..##.#.##.##.#.###.##.......##.........##.#.##.#....#.######.....#.###.##.#######.....#.##..######.##.#.....##.#####.######.#....####.#.#.#....#..#.####.##.#............#..######.#...###.#.#.#########.#....#####.............###.......##.#..#.#.###.###.#..##.#.####.###.#.#..#.#.....##..##.#......##.#.####..#.#.#.#.#.##.##.##....##..########.#.#.##..#.#...#..###.###.#..##.##....#.#.#.##...###.##.#.####.###.###.###.#
#...##.###.####.#.#.##..###.#.#..###.....##.#.#........########.##########.##.#..#.##.#..#####.#.#####...##.#.##.#..#.#.#.##########...##.######.#.##....#.##.#.##.#.#########.####.#.##.#....##.##.#.##########.#..######.##.........####.#..##..#####.......#####...#####.##.##.#######..#...#.#.....#.##.#..#######.##.#....#.####.##.###.....#.#####.#.###.##########.##.##...###.##.##.#...####..##.###########.####..#.#.#..#.##.#...###...####.#######.#.#.#.#.##...###.#..#.##....##.#.#....#..##########.###..#..####.###.##.#...........#.##.###.#.####...#.#.###..####.#.....###.###..##.#.###..#.#.#.......#
#####..#.#.##.#.#.#####.##..######.#####..#...####.###..#.##.....#.#.##.########....#.##..###.....##...#.......#.##...#.#.#.##.############......#.#..#.##.#..#.##..............#.#.#..######.##.#..#.#..#.##....##....#####..#.#.#.#...##.#.##..##.#.#######..##.#.#........#.##.#.....##.#####.#####.#.#..#.##..#.....#.####...........#######.#.#.#.#####.###...#.........####..##..#.#..###.##...##....#.##.#.....##..####.##......##.##.###..#.#.#.#.#.#.#.#.#.#..##.##.####....####.####.####.#.####.##...######.#.##..###....#.#######.###...##.#...#.#..##.##.#...##..#.#.#.##.##.#.##..##......##.#.#...#.###.#
##....##...##...#.##.#...##.##.##.....###.###.#....#...##..#####...#.##.#...##.####...###...####.#############....###.....#.##.#.#..##..#####.##.#.##.#.##.##.#######.#.#######.#.#.##.###.......##.#.##...#..##..###.##..#..##########.##...###.#....#...####..#.##########.#.##.#####..#.##.######.#...##.#.###.#####...#....#.##.#.##.#..####.#.#.#.###...#####.#########.#.##.####.#.#.##....###..####........###..#######..##.#.#.....#.#.##...#...#.....#.......##..#....####.#####.#.........#..#.#..##.####.##...###..#####....##.#.###...#....###.#.#.##.......#####.....#.#####.#..##..####.###......#.#######
#..####..#.##.#.#.#....######.....###.#.#.#.....#.####.###.#...###.#.##.###.........#.#.#.###.#...#.###.#.#....##.##..###.#.##.#...##..##.#...#..#.#..#.########.#....#####................#.###.##.#..###.##########..##.####.#...#.....###...#.####.#.#...###.#.##.##..#.#.#.##....###.#.##.#.##.#...###..#.#.#.#...###.#.###########..##........#.#.#.##.##.#....#.#.........#..##......#####.#.##..#####.##.#.###.##.#.#.#####.######.##.#..###.###.#####.####.######.#.####........########.##...##.#.##...#.#.####..###..#.#..####.....#..####.#####.#.#.#..#######.#.##.##.....##..#.##..##.....#..#.#.######..##
#####...#########.##.#.##.###########.#.....#######.##.#.#.##.##.#.#.##.....#.####.##...........#.....#.#.######...####...#.##.###....##....#########.###...###..######.....#.#.#.#.##.#####.#....#.#.##.#.##...#.#.##.#..##...###.###.#..##.#.#.#.##.#####.....#.##..##.#.....####.##..........##.###.....##.#...###.#...########.#.#########.###.....#.#..##.####.#.#######.#...########.#.##.....#.##..#########........#.##.#..#.........#.##.#..#..#.#.#.##.....##......#.####.######.#.######.#..#....#.#...#.#..##...##...##.##.#.#.#...###.....#.#.#.#...##...##..#.#####.###..##.#.###.######.#.####.#.##.##..#
###.#####.#.##.####..#.#..#...........##.#.##......................#.##.#.#.###....###.#.#.#.#.######.....#.#.###.##.####.......###.#.####.##..##.##..#####.#...####.###.##.###.#.#.#..####..####.#.#.##....###.#........#####.#.#.######..###...#.##..##...###....##.#....#.#..##.....###.####..#.###.######.###.#...###.#....#.#.#.#.##.##...#...###.#.##.##.#....#.##......#.#..#.##..#....#.###....##.#.#.##.#..####.###....############...#..##.##........###.########.##.##...##.##....#.##.####.#.########.#.#.##..######....##.#########.####.##...#.#.######..##....##....######.#..##..#.#.#...#.####.#..##.##
#.....###.......#########.###.#####.#....######.######.#.##.#.##.#......#########.##...#.#.#####.###..#.#.................#.#.#.#.###.#.#...##.....####.......#..........#####..#.###.##....##.........####.##....###.##.##.#....#.#.#####..####....##..###.####.#......#.#####....##.######..##.......#.###...#..###.#.#.####.#.#........#..#.##.###.......#..####.#.############....##.###.#########..#.#.#.#....###....#####.###....#######.##....#######.#..##....###.#.##..###.....#.##...........#.#.#.#.#.......##...##.##.###..##.#.#....#.#...###...#...##.#.##..#.######...##.#.##....##.#.#.###...##.##.....#
#####.#.###.##.##...#.#.#...###.#######.##...####..###.#.##.#.######.##...###.#.#####.#######........#####.#.####.#.#.#.#.#.#.#...........########..####.###.######.##.#.#.....##.##..#..#.#######.##.##.##.#####.#...#...#.####.....#.#.##.#..####..##.#...#..####.###.###.#.#.#.######.....########.##...#.#.#.##.......#.#......#.#.##.##.#.#..##..#####.##.####.#.#.#.##.#.#.####.##.##...##..#####.......##.###...##....#..#.##.#.........#####.#.#...####....##.#.....##.#####.####..####.######.#.#.#.#.##.####.###.##.......##.#..#.####...##.##.###...#.#..#....####.#.##.###.....####.##.#.#.###.###..###.####
#............######.......#..#....##.#######.#.#..##...###..#.#.......##.##...#.#######.#...#####.#.##.#.###.#....#.#######.####.########..#.#.....##..###.###.###..##########.##..##.#.##.#.......#.....#..#.###.#######.....###.##........#.##.#..##..###.##..#.#.##..#.......####.#.#.###.##..........#####.#..#######.#.##.#####.#.#.....####.##.##......#.#....#.#.#.#......##.#.##.####.###.....#.#####.########.##.##...##.############..#........####.##.#..#######.#...#.##.#.###########.#.........#.#..#........#####.##..#.##...#....#.##......##.#####.#.####......#....#.#######...........#.####.#.#....#
###########.###..#####.#####...##..#.#.##....#.##.###.##...##.###.#.#.####..#.#.#.##.#..#.#.......###....#####.##.#..#.##...##.###........##.##.##..##.##..........##.##........####..##############.#.#.##...#.#.#....#..###..############......##.###...#.###......##.#.###.####...#.###.#.####.#####.##.##..##.....##..#....##....#####.###....#...##.#.#...####.........####.#........#.#.#.#####.###......###...###..####.##..##.#.#.#.###.#.######..##...####..##.##....###.#....#.#.#..##.....#.#####...###########.#..######....###.#.#.##.######.###..##.#.#..######.#.###.##...##..######.######.#..#.#.#.####
#.#..##.....#.##..#.######...#..##......####.#........###.##..#...#.#...###.#.#.#.##.#.#######.##.######....##.#..#.##....#.#......#.#.##.#...#..##.#..#####.##.#####..#######.##....####.#.#.##.#######.####...######.####...##.##..########.##....#.##.####...##.####.#########..#...##.....######.......##.#######..##.#.#.##########...##..##.#.######.###......#.###.#.##.....#.#.##.....#..###...######.##.###..#####.....##.#............###......##..#######..#.#..####.#.##.#.#.#.##..####.#########.##.#.#....#....##.##.###.###..#####....##.....##.#..#.#.##.#..###.#......#####.##.#.#..####....##.#....###
#.#.##..###.#.##.##......##########.##.##.#....##.#.#..##.##.###.####.###.###...........##.##...###.#....##....#.######.###.#.####.#.#.#..#.#...##....##.###.##.##..##...##.....###.##....................#####.##.#...#....#.......##......#######........##.#######.####........####.######.#.##...##.##..#...##..##.#..###.##.#####.##.####.##.#.#.......###.##.##.#...################.##.##.....#.#.#....##.#.##.#.#####.#......##.#.#.###.####.#.#..##..##.#.##...##...##...####.#.#.##.###.###.##...........####.####..#.#...#....##.##.#..##.######..#.#.##...##...###..######..#..#.#..#.##......#####.#.####.#
#.#.##.##.........######.#.##.##.##.#.......#.###.#.#.##..#..#.###....##...#..#.#.###.#.#.....#####...#.####.#.#.#......###.#.##...#.#.##.#.##.######........#...##....#....###..##..##.#.#.###########.#.......##.###...#.########.#######..#.###..###.####..#..#.......###.#.#.##........#..#..########..##.#####.#..##.##..#.........####.###..########.##.#.##.######.###.#.###.########...#######.#.##.#.........#.#.#...################.....######....###....###.#..#####.##.##.#.#....#...##...#########.####....###.##.###.##.###..##.#####.#..###.##....###.##.###.#.##..##..##.##.##...##.#.#####..#.#..##..#
#....##########.###..##..#.#......#########.#.##..###.###.##...####.#..###.############...##.##.....#.#.#....#.######.#...########.#.#.#..#.####...##.#.##.#.##.####.#.##.###...##..##..#.#.##..........#.##.##........#.###.##.###.#.#.#.##...#.#.##.#...######...#.#.###.###########.###.##.##........##..#.##.#..#.###.##.##.##.#.##..##..######...##...#....#..#.#....#..........#.##.#..#....###.....###.###.#.#.......#####.###.##.#.#.#####.##.######.#.#.####...##...##..##.#....####.###..###...##......#.#..##........#.#.#...#..###.#.#.....##.#....####...##.##....###....##...#..#.#....####..##.#...##..##
##.#..#.##........##.###.#.####.########....#..#.####...#.#..#.#....####.....#.#.##.#######..#..##.####.####.####.....##.##........#.#.##.###.####....#.#..#.#..##...#.##..####..######.#######.#########.#..###.##########.............#....#...####...###.##.#.#.###.##..##.#.##.#...#.........####.#####.#.#..##.#.#.#.##############.###.#.#.##.#..##.##.#####...###.####.#.####........####.##.##.##.###.#...####.##.#.#..........................#.#.......#.#..#..#.#####.#..##.###.#...###...#.#########.#.#.####.#####.#.#.###.#.##.#.#...#.#..#.###.#######.#...##.###.#.##....###.##.#.##..#.#.##..#.###..###
#####.#.#..#.#.##........#.##....##.#....##.#.##.#....#.#.#.############.#.#...........#.###.##.##.##...#....##.#####.#...##.##.#.##.######........##.####.####..##.####..##....##......##......##........####...#######....#.##.##.#.#...#.####..#.###.#.#.##.######...##.#..#....##########.##.####.###...#.##.##.#.#....##..##.#.#.#...........####..#..#.####..#.##...###.#.#....#.#.#.###.........#..#.#####.############.##.#.######.###.###.###...###.#.###...###.....#.#.##..#..#..#.#..####.#.#.#....##...###.######..................########.#...#.....#.#.##.##..###.######.###...###.#..##......##.#.##...#
#.##......#######.##.#.#....##.#..#.##.#.####.#..####.#.######...##......#.###.##.##.#....#..#..#...###########.#.....#.#..######.##.###.#####.#.#.##...##.#..#.######...######..###########.#.####.##.#.##....#.#.......##########.####.##..####...............#.#.###.##.##.####......#.....##.#......###....#......###.####.##.......#######.#.##.##...##.#..##.########.#####.##.#####.##..#.##.#.##.##.##.####.#.#.##.##..#..#.#....############..#..#..#..######.####.##...###.##.#.#####..###.....####.####.##....##.#####.######.####.#####.###.###...##.##.......##...#..##.#....##.####.##..#.######..#..#.#.#
#....##.#.#...##..##.######.#####...#..#.#....####....####.#.###....#############.#..####.####.##.#.#.............#.########..#...####.#...###########.######...##.#.##.##......##...####.#..#.##.###..#######.####.#.#.####.#......#....##.##.###.#####.######.............#.##.######.#####..#.######...##.#...####.##...##..##.##.#.###.#..###.#..###.######.#########...######################..###...#.##...#......##.#..##########.##.......#...###...###...###........###.#.#........#.##.#.###.###.#...###..####.....##.#####..###...........#...###.######.#.###....###.##..###.##..##.#####...##.....##.##.###
#.#.#######.#....##..##.#.........#...####.#.##....##.##.........#.##.............#.##.........##.###.#.#.####.#.#####.#.#.##.#####.##.###...##.#.#....##.....#.##.......##.#.#..###........#####.....###......##########......#.#.#######..#..#.####.....##....##.##.#####...................#######...#....######...####.##.##########...##.##....##.###.##...#.##.##.###...#..#.###.#.###.##.#####...#....###.######....####.##.#.#....#####.#...#.#...###.##.##.######.###.#...#####.##.#....#.##..##..###.#.##.########.##.##....##...###.#####.###.#.#.#.##.#######.#####...##.#....##.##..##.#.########.....#...#
#.###.#.....##.#.#####....#.##.##.##.##.#..#..##.#.#..####.###.##########.#######.########.##.######..###.##...#..##.................#.#####.#....#.#.###############.#.#####.####.#####.######.###.#.##..#.####.#.#.#.###.###.#.###.#.#######........###.###.###..##.#.....#.#.###.#.#######..##.....#.#.##.#......#..##...#.#####.######.##.#####..#.###.####...##.#...####.##......................#.##.#.#.#.##.##..##.#.#.....#.####..###..##.#####.##......##.#....#.#...##.##..#...####.#.#....####.##.....#.#..##........##.#..#########..#..#...#.#.#..#.##.##.#..##.#.###..####..#.#..##..#.##.##.#..#####.###
#..##...#.########.##..##.##########....##.##########.#..####..##...##.############...##...##.##.....###########.##..#.#.###.#.#.#.#.........####...###.###.##.#...##.#.##....##......####...#......#####.######...#.......##..#.###.....#.#.###########..#...##..########.##.#.#...#.#.......########################..###.#..##....#.#...##.#...##.#.#.#.#....#..#.###.#.#.....#.#.#.##.###.##############.#.........##....#####.#....##.#.####..#.#.#########.#..####...#.###...##.###..#####.####.##......#.#...##.#######.#..#.##..##....###.##.##.##.....##....##.##.#..#.#.##..##..##.#.####.#..#.##.##.#####.#.#
##..###.#####.#.##.##.###..##........#.###.#..#.#.#.####.###..#####.##.#.#......#####....#.#...##.####......#.####..##.#.#...#.#.###.##.####.#.########.#........#....#..##.#.##.####...####...#.#####..####.....#...#.###..##.###...#.#......#.##.......##.#.#####.##...#..###########.#.##.####.#####.....#.#.##.####.....#.#####.##.###.#..##.##........##.####.......#.######################.##.#.##......####.##.#####..#.##.####.#......###.#.......#.......##..###...#.##.##....##..#.#..#..#.############.###.#..#.#####.#####..####.#......#...#.#.#..####..#.#..##.#.#.##.##..##..#.#.#....##.##.##.#...#.#.#
#..##...#..........#..#...######.##.#####..##.....#......#.####.#..........##.#....##.##.#.##.###########.#........###.#.###.#.#.#...##.#.............#.##.#.##.#####.##.#..####.#....#..###.#.#.#...##.##.####.###.##.##..#######.#.#####.##......#.###..#.#..##...#..#...##...........######.#..#...###.#......#..#.#####...#.##..#....#.##.#...##.##.##..#######.##.#...#.#.##.#.####.#........#....#####.###########.#.##.#.##........#.##..##########.#######.#..######.#.#..####.##..##.##.##.#..###..##.##....#.##.#..##.#..##...##.#..######.###.######..####.....##......##.###..##.....#.#.##.....##.#.###...#
##..#########.##.#...###.##......##..##...#######.######.....##.####.#.##.###.##.#....#..####..##....#.###########.#...####..#.####.##..####.###.##.#......#..###.###..#.##.###..#.#.###.....#.#.#.#............#....#.###.##......#.#......##.#.#.#..##.##.##.####...####..##.##.#.##.##...##.##.###.#.########.##....##.#.###..##...##...#..#.#..#######.####.#.###..###...#.##.#..#...##.###.#...##.#.#.####....##............#######.######.#.#.#................###.###...##.#.#..##.##.....##.##.#...##..###.#...##.##......#####....##.#.##....##..#.##..##..#####....#.####..#.#.####.######.####.###..#.#.###.#
###.#####.#....###.###...#####.#..##..#.#.#.......##.#.###.#....############..#####.#.##.#..########.#....####.....#######..##.#....###.#....##..#####.##.###.###.....#######...####.#.#####.#.#.#######.##.#.#.###.##.#...#..##.#.####.##.#######.##.##..#..###.###.###...##..######...###.............######.#....#.###.#..##.####.#####.##.#.##..##.#....#.#.#..#..######....#.##.###....##########.#.#.##.###.##############.##.#######...#.#.#.###########.####..#..#.###.#..#.##.#...#####.....#.###.##.##.#####..#.####.##..##.####....#..####..##.#..##....##.....#.##.###..##....##...#.##...##....##.#.#..##.#
#...#.....##.#.##..#...#....##.##.#..##.#.#.#####..........####.#...#...##...##.....#.#####.####.#...##.###..###.#.##......#####.##...#####.####.#.....#####..#.#####..########.##...#.......#####..##...########...##.#.#.#.##..####.######.####..##..##.####.......#.###.##.##.#....#..####.##.#####.##.#......####.#.#.#.##...#.####.......#####.#..####...#.##.#.##..###.####....####.#.#..#.#.......#.#..##..##.#..#.####..........#.###.....#..........########.#.##.#.#.##...##...#..###..###....#...#.##..#.#..##....####.##...#.####.#.###.##..#.##.##.#########.######.##..####..##.##..###..##.####.#.#.###.#
##.####.#....#.#..##.#.#.#.##..##.##..#########.#.#.#.#.#.##......#.###....#..##.##.#.#............#......##...########.##..#.#...##.###.##.#....#.#.###.#.####..#######.##.#....########.#####.###....#.#........#.#..#.#######.#....##.###.#.#..####..####.#########..#...###..##.#.####....######.#....########.##.#...#..#.###......#####.##....#.###.###.#....#####.#...#.#####.#.#######...#####.#...##.#..###.##........#.#.##.#.......#.#.####.#.###..##....#.#.#.......###..##.#####.####...##.###.#.#..##.##.##.######..#..#........#.#.#..##...##.##..##.#####...#.##.#..##.###.......###..##...##..#...##..#
####.#####.#.#.##.#..###.#.##.##..#..####.........#.###.#######.###.##..#.###.#..##.#.##.#.##.#.#.#######.#..#####..###..##.#.##.#####.#....####.###.#......##..##..##.#.##.######....##..##........#.##.########.#.##.#.#..#.######.##..#.....#.###.####....#.#.....##...####..########...#.##........##..##.#....#....#.##.#.#.##.#########.#####...#.#..#..#.#####.#....#....#.#.....##.#.###.##.######.##.#.##.#..######.#.#.###########.####.#.######.##..####.#...######.##...###.#.#...#.###.###.#.#.....##...#....#.##.##.###########.....#.#####..#.##.##..#.....###.##.#.##..#.####.####.##..###..##...#..##.#
#.#....##..#.###..##.#...#.##..##.#.###.#########.###...##.#.#####.....#####..#.########.###..#.#.#.#.....#.##.#.##.#...###.#....#.#...#.####.##.#...###.##..##.###..........##..####.###.########.##.#..#........#########...#.##....##.#####...##..#..####...####.##..####.##.#####....#################.#..##.#...##.#..#.#.#..####.##......#....#.#.##.##...##.#..#.#.###.###.####.##.....#........##.......##.##..#.#.########.###.......###.#.#.##...###.#......#....#.#.####.#.#.#.#.###..##.#...#.###.###..#...####.#......##.....#.###.#....#.###.......##.#####.##..##.#.#..##.##....#.#..##.#.##.#..######..#
#...##....##.###########.#############......##.#######.##..#...#...###.#.....#####.#.#.####..##.###.#####.#.#..#.#....#...######.#.###.#####...########..###.....####.#.##.#.###.#.........###......#######.#.#.####.##.#.###.#..####.##.#.##..#..##.##.#.##.####....##.#....#...##.#######................##.#####.##..##.....##..##..####.##.######.#.#..####.##.##.#####.#..##.#.....#####.#######.##..#.#.#..#..##......#.#.#.#...#########........###.#.....####.##.#......###.#.#.#.#...##..#####........#######.#.##.######.######....####.##.....###.#.###...##....##..#...#.##...##.#.#.#.##..#..#.##..#.##..##
######.##.####.#.####.....####.#.#.##..####.#..#.#...#####.###...###...#.##.##.#............#####...##.#....##...###.#######..####.##...#..###.##.###...##...#.#......#.#..#.......###.##.##...#.######.#.########.#.##.......#.##....#.......##.##...#.#.#...#.####.#######.###.#..#.###.#.#.#######.####......#.#########.#####.##..##..####.#.###....##.#.##.##.#...#.#....###.#####..##....#.........#######...#######.##...#.###..##.......######..#..#####..##..##.###.##.#.#.......#.#####.##.#..#.##.#..#.#......##.##.#...#....####...##.####.#######.##..#######..##.###....###..#.#...#.###.#.##.#..##..#.###
####...##.#.#.....##..#.#..##.......####.##.##.#.###.#.....#.##.###..###.#.....###.#.#.######..####......##.####.#####.#.##..##.#.....#.##.#....#.#.##############.##.#######.##########...#.######.#.#........#......#######...#####.#######.##.##.#.#.#.##.##.##.#.#.#.###.....##.#.#...#####.#.######.###.##......###..#..###..###..##.##.#.#.#.###.##....#..##.###...####.#.#.###...######.######.####....##.###.#......###...#.##.###.#.#.###...##.##..##.######..####..#....###.###.#.#.#...##.##.#.##.##...######.##.#..###.###.##....#....#.....##.##..###.#..##...##..##..#.##...####.###...#.#..#.#.####.#.#.#
#....#.##.#...###....##.######.####.###..#.......#.#.###.#...#....##...####.####.#.###########...#####.#.#....##.#.##....###.##.#####.#..#.####...#.#.###..####.#..####.....###.......#########.#.......#.####.#####.##.#.#####..#.#..........##..###.........#.#..#.#...#.#####..#.#.###..#.#.......#....####..#.##.#.##...##.##..##.##..#..#.........##.##...##...###.####....#.#.###.##.#.#.#.#.#########.##...##.######.....#.......########.#.#.....##.#..###..#.###...###.#.....#.....#.###.##.##.#.#..##.#...#..#.##.##.......#..####.#.##.###.#.#..###...#.#.#####.#..####.#####.##.#..#.###...##...#..##......#
##.#.#.##.##########.####......#....#.##.####.##.#.#...#####...#####.####.#####....#.........###.......######.......####.#....#....#####....#####.#.#.#.##.#.#..##..##..###.#######.#...###.#.#.##.##########....#.#.##.#.#.#.##.#.#####.####.##.##...#.##.##.#.##.#.###.#.#.####.#.#..###.....#.#.#.####...###.###..#..###.......##...##.##.#####.###.#######.###.##....#.##.#...#.#..............#.#...##.....#..#.##...#########.##.##.#.#.#..######.###.##.#.##...#...###.###.##.###.##..........##.####.#..###.##....#.##.#####.#.##.#############...##.##.##...#.#...#.##.#...#.#..##.##.#..##.###..###.#####.####
#..###.##.##.#.........############.#.........#....#.####.####.####..##.........#.###.####.#.######.#.##......#.###.##.#.#.##.###.##.#.##.#................#.##....##..##...........###...#...#.####.#...#..##.#.......................#####...#..#####..#.#.........#.......#.#....#.##...##.##.###...####...######...##.##.##.######..#.#...#.######..##.#....#...##.#......#.#...###.#######.##...###.#########.#.##.#.....##..####.##.#.#.##.##.##..#....#...###.#######......####.#..###.#.####..####.####.#...####.##.####........#..##.#.##....##.##.....##.###.#.#...##.###.....##..##.#.##..#.##.##...##......#
#.##....###....#####.###.##.###.###.###.#.#.######...###...#...#....#####.#.#.#.###...####.#........#######.#####........####.#.#.#.....#####.#########.##......##.##.######.#####.######.###....##..###.##.######.##.#####.##.####.##..##...#.####.....############.#######.#...##.#..###.#..#..##..#......#..##.#..#.....###...##.###...###...#.##...###.####.#.###..##.##.##.###..#####.##.######.##....###........######.##..##.....#.#.#........##.####.###...#####.#.########.##.##########....##....########.#....##..######.#.#...###.#.####.##...#####.#......#####.....######.###.##....##.#.##.#..#####.#####
#######.####.#.#########..............#####.##.##..#.#.###...####.#..#.##.###.#.##..###....##.####.###.####.##.#########.##.#...#.####.###.####.........###.#####..#####.##..#.....#..........##.###.#.......##########.########....###.###.#########.#.#..#######....#.##.#.###.#....##.####.##.#########.###....########..####..#.#.###.#...#.#..###.#............####...######...##.........#.#.#..##.#.....###.#.###.....###.######.#.#.##.##.##..#..........####.#.....##.###..#...##..########.#####.#.#.#.##.####.##.##.#.##.#####.##..#.#.#...###.#.#...#.###########.####.#..#..##.#####.##.#....##..#.#......#
#.......#....#.#....##...##.#########..#.####.....##...#.#####....#.##....##..###..######.######...##.....#.#....##......#..###.#.##.#.##...###########...##########........#########.##########.......##.##.#.#.######..........#.##.#.#.####....#...###.##.....####.........#######.#.....######.##...##...###.####.#.##.##.###.#.#.##..#####...##...#########.#.##########.#####..##.#.####.....##.##.#######...####..#.#...................######...#####.##...#....###..#.#.##.###..##.#.#.##....##.#.#.#.......##...#.##....####.....##.#...###.......###....##.##.#.##.#.##.##.#.##..#.#.#.##.#.#####.##...######
#.#.#.#.##.#.#.####..##########.###.##.....###########.#.#.####.########.##..#######......#..#.###.#..#.#.####.#..######.##.#.#.........###.#...........#.#..........#.######.##.######.....##...###.#######.....#.##.##.#.#.##.##.##........####.#.#.#....###.#......#######.#.##....#.#######.#..####.######...##........#....#.#.#.###.##.#..#..###.##.#....#.###.......#..#.#.##.##.###.######..#..####.##...#..#.###########.#######.#.##.#......#.#.....####.#.#.#####........#.#.##..#.#..###.###.#.#.#######....###.#####.##.#####....#.###########.#.##.###...#.#.#....##.#.....##.#.#......#..##.#..##.#####.#
#.#.#############...##.###.##.#.#...###.#.##...............#..###..#.##...#####.######.#####...#.########.##.####..###......#.##.#####.###..######.#.#.########.#.##.####..........########....#.#...#..##.#####...#.....#####..##########.#####..#####.##...#.##.######...##.#.#####...##.##.....##......#..###.####.#.##.##.#........#.......###...#.##.####.#...#.#####.##......#..####....#####...###....##.###.#.#.#..##.#...#.......#.##.#.#.##.#.#.#.###....#####..#####.#.#.....##.##.##.#.#...#.#.#.#.##.###.#..##........#..#.##.##....##...#.#..........##.##.#.####..#.####.##..#...####.#.##..#.##........#
######.#......#.###.........#.#.###.#.###..###.##.##.###.#...#####...####.###.......#####....#....##...#.....##.##...######.#....##........##.##...#.#..##......#######.##########..#..####.#.##.#.#.##.....#.#..#...##.##.....##......#.#.#.#.##.##.#######....#####....#....#.#.#.###..#.######..######.#.##.#.#.#######.######.##.#...#.#.#.#...#....#.#.#....#.###......######...##....##.....##.##.####.####.........##....#.##.#.#.####..######.#.##########..#..##.......#######.##.##.#......#.....#.#.#...####.####.##.##.##....######.#####...###.####.###..##.#.##.#.##..##...##.###...####.#..##..#.########
##.#...######.......#######.....#......###.#.###############..#.#..#...####.#######..##.#########..###...#.#..#.###.###.##....##..####.#.#.......#.#.#.##..##.#.##..#...#.##.#.#.##.##.#....#.#..#.####.#.#.....##.###################.......#.##.##...#..#..####.....##.#.##...#.#.#...##.#.#.###.##.#...#.#.......##.#...#.#########.#.##############...#.###.###########.###.##.#..####.######....##....#.#.#####.####....##.#################...#####.....#####.#.####.#.##.###.....##.##...##.#######.....##.##.#...#.######..#####.##..#..#..####...###.##.#.##.##.#.##....##..###.##.#...#...##...###.##.#.#....#
#..###........###.#.#.....#####.#.#.##.#......#.##.##...####.##.####.#...#...##.####....##.##.###.##.##.#####.#..##.##...####..#.##....#.##.#.##.#.#.#.#..##..#####.###..................##.#########.################...#.###.......#######...#...###.##...###.############..#.....###.##.#.#.#.#.##.###.#.#######..#.#.#....#.###.#######.#.#.#.##.####.#.#....##..##.##.........####..###.#..####.#####.#.#..##.###....###########.#.#.#..###..#..#.######.#.....#..#####.####.#.###.....########....#..###.##....##.##..#..#..##..##.###...##.##....###......#.#..##....###.###.##...#..###.########.##...#.....####
##.....#.#.#.####.#####.#.........###....####...##.####..#.#....#.######.###..#.#.###.#..#.#......#..######.#...##.....#......######.#.######.##.#.###.#.##..##...#.#.##.########.#.##.#.######.####..##.#........##.###...#.#######..###....#...###...##.#.#.#.#.##.#.##....######.##.........#.#.#...#......###.##.#.######.#.#.#..###..........##...##.....##..#.##..##########..#.##.##..#.##....#.#.....#.##..###########....##......##.#.#####......##....###.##..#.####....####..#.#....##.#####...##....####.....##.##.##.##.##....###..#..####.#.######.#.##..####...#.#.#.####.##......#.##.##.####...#.####.#
#..###########....##.#####.#.##.#.####.#####..#....#.###...#.##....##.#...###.....#.####.#...####...##.#.#....#....##.###.###..###.#.#.##.....##.#.##..#####.####.#....###........######.#.......#.#.##....##.#.#..#.#####...#.######.#.##.#####.#.###.##.###...........######.####....#.##.##.....###...#.##...#.#....#......#.#.#.##.##########.####..###.#####.#..##..#.#..##...##.#...##....####.#.#####....#.##.#.##....##.#.####.##..#.#.#.#.#.####.####.###...#.##..######.##.#########.#...##...#######.##.#####.##.....#.....##.###.##...###...#.#.#.......#.##..###.....#.#.#...######.#.#..##.#.##.#####..#.#
##.##.....#########....#.##########.####...##.##.#....####.######.##..###...#####..........#.#....#..#.#.###.#####.#...##.#...##.#.###.#####.############.####......##.##..#.#.##..##....#######........#####.#.##...#.#.#.#............#####.#........########.#.#####...........###.##.########.##.##.#####.#.#.####.######.....#.#.............#..##..##.##....#.##..##.##....#.#..##.######..#.........##.#...##.#..###.#####.#.##..##...#.#.#.###....#.#####..#......##.......#.###.#.##....###..####.#.#..##.##.##.######.#.#.#.#.......##.##.###...#.#####.#...##.###..#####...#.#........#...##..#.#..##.##.##.#
#########..#..#.###.##...........#..#.####..#######.#..##...#.##...##.#.#.########.#######.###.#####......#..#.....##.###.###.##.#.#####.#...#.##.....##..#..######.#.....##.#.#..####.####.#.###.####.####.########.#.#.############.#..##...##.#.###..##...#..#.#.###########.#......###.#.#........#####.###......#.....######.#.###.##.###.##.#.####.########....##..#.###.###.##.#...#.#.##.#####.#.#..#####..#...##.#...##..#..#.##..#.......######.........####.##.#..#.#.#.#.#.#.#.#####..##.##....#.##.##..#.#..#.#......###########.##.#..##..###.#...####.###...##.###...######.#.###...####.##.#.##..##..#.#
#....##.##.##.....####.##.######.#.##..#.##.###.######.####.#.###.##.......##...#####.#.#####...###..####.####.##.##..#...###.##...........#...######..##.#.####....###.#########.#.#####.........##...##...##.#####......#.#.#.##.##.##....#.######...#####.##.###.#........#####.##.##.....####.##.##..#...#######.#####........#..########..#............##.####.###.##..#####.......#......#.#..##.#.##..#.###...#..#.###.###.#.#############.##......###.#######...##########.#.#...#.#..###.########.#.#...##.#.##...######..#.##.....#.##.#.####..##...####.#.#.###......###...##...###...#.###...#.#.###..##...#
####........#####.##.########.......##...##.#....#.#...#.##........######.####.##.......#.#...###.#######.###...###########...##.#.#.#.#.#####.#....#.##....#..###.##...##..##..#.#..##.#####.#.#####.#####.....##...####.#............##.###..##.####..##....####....##.#.#.......#########.##...#...##.##.##...#...##..########.#.##.#.##.####.#####.#.#.##..#.....#..##.##.#.#####.######.#.....##..#####....#######.......#.#.#..###...........#.######.####.#.#..#..##.#.#.#....#.#...#.##....##.###....###.##.#..##.##..#...##..###.#...#..#.##...#####.##.....#..#####.####..###..####..###...###.#.#...#.##..###
#.########.##...#.#..##.#...#.#####....###....##...#.#...###.#.#.#..##.....##...###.#.#.#.###.#....###....#.#.###.....#######..#.#.#######..#######.#.#####.#.####..#.#..##.###.####.#........####....##.#..###.####.#....####.#.#.##.#####...##...#.#.######.##...##.#######.#.####.#..####.#..####.##..#...###...#.#..##.###.##.#..#.#....#.#..#...#####..##...#.#.##.##.##.#..##...##.#######.#..#####..####.#.#.#.#######.#...#.##.##.#####.##.###.#.#...##......###....#.#.####.#####.#.#####.##...####.#.#.#..#.##...##...#..##.#.#####.##....###..##....#####.#.##.....##.##.#.#####.######.###...#...###..##.#.#
#.#.#...#...###.#.#.##..###.##########.....#.#####.#####..#########..#####..##.##.#####....#####.#.....##.....######.##.......##.#####..###.#.#.#.....#.#.#.#.##.#.#######....#.##.#.######.#.#..####.#..####.#.#.#####.#....#.#########.####..###.......##.#..##.#####...#.#####.##.##........##.....##.###.#.#####...##......#..#.##.####.#.#.####..#.###.########....##..#.##..#.#.#......######.#.#.##.#..........###.###.###.#.##.#####.##.#...#......#....#.#.#####.#...........#.##..........#.###........##...####..###.##..#.#.###....###.##...#####.##.#.#.#..#####.#..##....##...###..#.#.###...#..##.##....#
#...###.###.........###.#.#..##........##.####.....##.###.#.#.#.#.#.##.##..##..#..##.#..#.##..######.#.##.###.#.......#####.#..#.###.##.......#.#####.#.#...#..#.#####.#.##.#.#..........#######...#####..#..........######.#####.#.##....#.#.##.####.##.#....#####.#####....##...##.########.##..#.#..#.#.#.#.##.####..######.##.#..#.###....###.#..##......##.#....##.###....##.########.###...............#.#.####.........##.....#.#.##...#####.#####.###.#.#.###.#.###.#.#.#.###.#.###.###.###.#.#.########....#..#.#.########.......####.#...####.#.##...........##.#.....####.######.#.##...#..####.#####.#..####
#.###.#.#...#.#.#.#.........###.##.#.#.####....###............#.#.#.#..###.###.##.##.####.#..##...#..###..#...##.####.##....#.####.#.#..#.###...#.#.......#.#.##..#.#..#.####.##########..#####..#..#####.#######.####.#....#.##..#.#####..........#####.####...##......####..###.#............##.####..........#.#.###...##.#.#....##.#.####.##..##..######.##.#######.#.####..#..##......##..###.##.###.###########.#.#####.###.##.#.#.#..#####.#...##############.....####.#####.....#.###.###................##.##...#..#..##.#######......###.#.#.....#####.#.###..#.##.#####.#.##.#...#.###.##.##......#.#...##.##
#.##....#########.#.#.#####.#.#.#..#.###.###.#.#####.######.#.....#...##....#......#.#.#..##.####.##.#...####..####.#.####.####.#......########.#.###.#.#.#...#..##.##.#..##....#.#....#.##.#.####.##.#.#.##.......##..##.#....##....##.##########.#.#......#.###..####.##.#.##...#.##.##.#.####..#####.#.###.#.........#......####.##.#.##.#..##..##.##.#...##..##.#........##.##..#.####..#.###...###...##..........#.#.......###..#...##...#.#.###.#.####.#.#.#.#####.#....#..######.#.##...#..#.#.####.####.#####..#...##.##..#....#######.#.#.#.##.####.....###...##..#..##...#.#..###...........##.##.##.###..#..#
#..####.##.##.....#####.##......####.#....######.################...#..####.######.#.#.##.##.#.#.....#.#..###.##.............##...#.##.#..............#######.#.##.......##..##...####........#.#............#.###.###..####.#.#..##.##.#.#..#####.#.##.#.#...##..##..........###.############.####.#.#####...#.#.#####.######...........##...###.##.....#.#.###..#.#####.####...#.########.###.###.####.##..#.#.#########.###.#####.###.#..###.#..#......#......#.#...#.####.##.............#...############.....##..####.##..##.##.#.........#.#.#.#...#.####.######.###.##..#.#.#...##.#########.###...####..#..##.##
##....#.#..####.#.##.#.....##.###########.#.#.#...................####.......##.#....#.#.........#.###.####.######.###.#.#######.##..####.#########.#.##.#.#.....#######.######.#......##.###...########.###.###.....##.######...##.......##.#.......########....#####.######.#.#.##..#.##.#.#.###..........#.#.###......##....#.#.###.#.##.#.#....#####.###.#.##.#.#.###....###....##.......##..####.##############.###.####..............##.#.##.######.######.#.###...##.######.#.##.#.####.###.#.#........##.#########.##.##...#########.#.....#.###.#.##.####.........#..####.#.###..#.###.#.#.#.#.###..##.##..#..#
#####.#.##..##..#.#....#.####.##...##...........######.##.###.#####..###.###.##.####.....##.###.#####..#.....#..#####..####.#.#########...#....#.######......#.#...#.##..#.###..#####.#####...#..........#...##..###....#.#....#..####.##....######.##.#.#.#####.##.#####.....#.#..##....#...#.#.########.#.#.#####.#.#.##..##.#########.####.###.##.....##...........#.####.#.###.#########..##.#.#...##.###.#.#.....#.......##.#.#.###.#.##.#.#...###...##.##....#.###.....##....####.#.#....##......######.#..##.##.#......####..#.#..#.#######.#.#.#.#.##.##.#####.###.#.##.#..#...##...#.#.#.#.#.#...##..#.##.##.##
#.....#.###.########.#.####.######.#..#.#.#.#.###......#..#...#...##.....#.......##..#.#.####...#.#.########.##..##...##....#...##.#.#..#.#.##..........#.########.#.###.#.#.######.####.###.#####################...##.....##.####.....####................######......###.#...#.##..##...#.........###..#.#####...###..##.####.....###.#.#......#####.##..####.####.#..#.#...#.#..##.#.####.##.#.##.###...#.#...###.#####.###..#########....#.##.##.###.#..#####....######..######....#.##.#..#.##.####...####.#.....######.#.#..##.##.#.##...#........#.#...#.##.####........##.#.######.#.#...#...#.#..##.#.##..#..#
#####.......#.##.#.###.#....###......##.#.##########.####.######.#######.#####.#....######....#.#.....###.......##..#..####.#.###....##################.#.#...##......##.#.#..###...##.#.#...#.##.#.##....#.##.#...#.#..#.#.######..######...##.##.#.#####.##...#######...#.###....#######.#########.....####.....#.##..#####.######.......######.#.##...####.#######.##.#.###.#.#.##......#..........#.###.#.######........#...##......#####......##.##..##.#...####.....##.##.#.#..#.#####.#.########.##.###########.#........##....##.#..###.#.####.###.##.##.#..#..######.####.#..##.##.#.###.##.##.####.....##.#.##
#..####.###.#.##...########...#####.#######..........#..####.......###...#.....#.#.##.#....##.#####.#..#..###.#....##.##......#.##.#.#.#.#.##.........#######..###.##........##.###.##.#.###.#......#####.#......#.####.#.#.#......##......#.#..##.#####.#.####.#.#.##..#...#...##..##.###.#.........##.##..####.##.###.##.#...###.#######.##.#...#.####.#.#....#........#.##......####.##.######.#.#...##..#.#.##.###.#.##.########.##.......####.....##.#..###......#.#....##...#######..#####.#....#....##.###.#.#....#.####.##.##....#.##...###.##..##.#...#...##.##.#.##..##..#.##..#..#.##...#.##..##..#####.....#
##.#.######....###....##.####..##.#.#..#....###.##.#.##..#.#####.#.....####.##.#.#.##.####..###..#####.#####..####..#.#..##.#...####.#.....#########.##..#.###..######.#####.##.###.#..#.#.########.#..#....#.#.######..###.#.#.##.#..#.#.##.##.##.##.............#.######.####..##.##.#.###########.####..##.#####..##.#..###.#......#.........#...#........##...####.#......####.#.#####.###.########.###.....#..#####..####.##.##.#..##.######..#.#....##.#.######.#.##.#..###.###.#.##.......####.####.....#....#########....#####.#....###.##..#..##..###.##.##..#....#..####.#..##.##.#.####....##..##.#.##..##.##
##..........#.##.####.........###.####...##.#...########.#..###..#.#.#.##...##.#.#.#..#.#..#####...#.#.#.#...##....##########.#.#.#..##.##.#.###.#....##.#.#.##.#.#.####.#.#........##.#.#..#..##.#.##...#.######....######.#.#.##.########...###...####.######.#...#.#....#..#.##..#..#...########..#....###.#.....######.......#.##.##.#.###.####...#.#.#.#####.##...##.#.######....##.#.#.#..##.#....#.#####.##.#.########...#..##########.....#######....#.###....#.#####.........#.########.........#####.####..####.#.####.#######.##.....###.##.###.##..#..###.####.##..#.#...###.#....#.####.###.##.......######
#..#.####.###.##......#.#.#.#......#.############.####.#.##.....####.####.#.##.#.#.##.#.##.##....#.....#...#.#######..###.#...###.##....#........###.##....#.##.....#.#....########.#..#.##.##.#.....##.##.#.##...##........##########.#.#..###...##########.######.#.##.####.#####.##.##.##......#######.#.#.##.#.##.#####.#.#.#####.##.####..#....#.#.#.#.#.#####..###..#####....##......#.#.###.####.#.##.#.........##.#...#...###.###.#.###.#.##......##...#...#.####.###########...#.###.##########.....#.#.###........##.#.#.############.#.......##..##.##.#.#.#.#..##.##...####..####.#..###.##...#######..#.#.#
#.####.####......#.#.########.##.#...####..##..##..#........###.#.#..##...#.########....####..##.#####...#.#.#.......##.....#..##.##.#####.###.#......####.#.#####.##.####.##.##....##.#.##....#####..######..###.#..##.#.###.....#......##...#.#.##...#.....#.#.........#....##.#.....##.#######.#.#.........####.#..#.#######.#........##...####.##.###.###.#.##..########....##..######.#...#.#.##...#.#....#.#.#.#..#.#######...#...#.#..########.#.######...#.#.#.##..##.......#.###.#.......#..#.##.##.......##.##.##.#.......##..#.#.......####.##..##..#........##..#.####.#.#..###.....##...##.###.#.#.#.##.#.#
#.#.#..#.###.###########.#.#########.#..##..##.###.####.#.#.#...#...##..#.#.#........##...##.##..#.....#.###.##.####..########.##.#####..#.#...#.####.#.##.........#...........####.#..#..####....###..##.##.##.####..###########.######....##########.#####.....####.#.#####..#...###.....#.#.#....###.#.#.#.#..####....############.##.#..#.#....##.#...##....###.##.#.....##.#####......###...#.####...##.#.#.#.#.#.##.####.####.###.#.##..##...##.###......#.#.#.#..##.#..#.#.#...#...#######.##......#..#.#.#.....####.###.###.###.....#.#####.#...##.###.########.###.#...#....##.#.####.#####.##.##..#...#.#....#
###.##.......#..#.#.#.#.....#........##.###.#...##.#.#..#.#.##.###.##..######.####.######.##########.#.#...######....##...###..##.#.#.##.#########......###.##.###...###.#.###.##.#.##.#.##.#####.....###.##......###.###...#.#...##.#########.#.#...........########.###.#.##.###########.....###.##.#######.#.######.#..#.#.###.....##.##.#.##.#.##.#.#.#..##.....#..#.#.#.##.#...###.##.....#.#.#.####.############.#............###.#..##.####.####...#.##.###.#.##......########.##.##.##.....#############.###.#.#........#.......#.#.#.#.....##.##......#.#..##...#..###.#.#.##....##...#.##......##.#.#.....##.#
##.....#.#.#.##.....#.#.###.##.##.##..........#......#.####..###....####.#.#####.####.#.#.#.#.#.##.###########.##.##..###.#.##.##.#.#.#...##.##.#######.#.###..####.##...#.#...##.#.##.......##.###.#..#...###.####.###.###...###.#..............########.#.###.......#........#.###.#.#######......#.#....#.....#.#.####.......#####..###..#.#..#.##.###.##.#..##.###...###.######.....###.##.#...........##.#.#.#.##.#.########.#...#.##.......#.#.########...##.#.#..#.####.#.##..........####.##.###...##.##.##########.######.##############.#..#..######...##.####...##...###..##.######.#.#######.##.#####.######
#..#.#.#.##########.#.####...#..###..###.#.##.#.#.##.....#######.#.###......##....#.#.#...#.#.#.#....#####.....######.##............#.##.###.##.#...........####....########.#.........#.###.##.....##...#......#.#.##....###.##..####.#####.#.#.#.#......###.##.##.#.#.######...........##.##.#.##...####.#####.#...##.####.##...###.#####.####.##############.########..####.#.########...#..##.########.##.#.#.#.##.###........#.#.#..#######......##.#.#..###########.#......#..########.##......#.###.....###.##.##....#....###.........#.#####.#.###.....###...##..######..#..##..###..#...#.#.#.#.#...#.##..##.##
##.#.#.###...#.#.##...##...#...#####.#####.##.#.#.#..#.###.#.#.#####.######.#..##.....###.#.#.#...#.##.#.#####.#.#.#.....#.########..........##.##########.####..#.##........#############...##########.#######........##......##.#.####...#####.#.#########.....##.######.....#######.#..#.#########.##.........###.........#..#.....#.....###..##.....####....#.#.#.#..##............#######.####.....................#####.#.#####.#.##.....####.####...######..###########.#.#.##........#######.....####.####....##########.#######.#.#....###......#####.#.###.###..##.###.##.###...##.###.........#.###..#.###..#
###########.##......#....#.##.##.....#......#.#.#.##.#####.#....##............#######.....#...#####.......#.#........##.#####...####.###.#.#..#..##.##......#.########.##.#.##..........#..#..#.##...#####.##...#.#.##.###.#.#......#.####..#.#....##.#.###..##.######.#.####.#####.##.##...#.#.#.##.....##.##.#.....##.#.##.##.#.#.#.#.#.#.#...##..##.##.#..####.#.#...##..#.##.##.##..####...#.########.###.#.######.##.########.#....##.###.####.#..###.#.#..#.##.#....##.###.######.#.##..##...#.#.#...#..##.##.#..#.....#...........######.#.##.###.##.##...........###.#....#..##.#.##.###.#.#.#.#...#.##.#..#..##
#...#.##.##..##.#.####.#.###..##.#.#.#####.##.###..###...#.###.###########.##.#....######...####.########.#.######.#.####.#.##.##..#.#...####.#.##.....####.#.#.#.#.#####.#############.#####...####.#.#...#############.########.#.....###.#...##.#..#.#.#####.##............#......#.##.#.......###.##.#..#..##.#.##..#.#########.#.#.#.#.###..####.....####......#######.###########....#####.....###...#######..##.##.#....#.#...##..####.........##.#.#.##.#.##.###.##...#...##....#####..###...#####.##.#..#####.#.###.##.#.#.##.####.##.......#.........#########.#.#.##.#.##....#.#....#########.###.#..##.#.###
###.......##..###.##...#...##.#########.#...######.#####.#.###..##....##....######..#######..#.#.#.#.####....####..#.#..........##.#######.......#######.#...........##.#####.#.........###...#........###.#.###.#.##.....#.......#.###.......###..##...#.###....###.#.#####.###.#.#...##.#.#.#.#......####.##.##.#.#####.#.##......#.#.#.############.##.#####.###.##.#..#.######.#....##..######.#.....###.#.#.##.#..##.####.#.#######.##.########.##....#.##.#..#.#......#...#..####.###.##.....#.####...#.##.#.#.....#......#####..#.......#.##.#####.##.####.###.##.#.#..###.##.#######.####.#.#.#...##...###.....#
#####.##.####.##..##.#.#.###..#...........#.##..####.#.....#.##..###.##..#####.#.##.....####.#.#.#.#......##.#....##.#####.##.#....##.##########..###.#....########.###.###.#...##.####.#.######.#.###...#.#.#.#.#..#####.######.##.#...##.#.#####.####.......#.##.#########.##..####.##..###.######.###....##..###.#.#...#....##.#.#.######...........#......###....#.#.####.##.#.########....########.##.......##.##..#.#....#.#.##.#.....#..#.#....##.#.#.##.##.#.###.#.######.##.##.#......##.####.#..#...#..#.###.#.#####################.#.########..###....#...#......##....#.#.#.##..###..#...##.###.#..#..#.###
#.....#...##.....##..#.####..##.#.##.#.#.######.#.#..#####......##.#..#####.#.....#####.#.#..........##.#.##...##.#..#.....#..###.##..#..##.#....##.....##.#####..........#.########....#..##..#########.....#.#.#.###...........#..##.##..#.#.......########.#.##..#.#......###.#....######..##.#...######.#..##...#...####.###########.#.####.#.#.#####.#.#..#####......##..##.#.#.#.#....##.#.##.#....###.#.#..#..#.##.####........#####.##.....##.####.#.#...#.#.#.#####......##..##########..#......####...##..#############.#.#.##.#.#...###.#.#....#####.#...#.######..####........##.#.##.##.##....####...####.#
#######.#....##.##..#####.##..#####..#.#.#.#......##.#.....#.##..#...####.#.#.#.#...........#.##.##.##..#####.#########.#######....##.#.##....##..###.#.##.#...###.##.#.#......#.######...####.##....#.#.#.#.........####.#.#.#.###############.###.##........#.###.....#.##.#...##.#..###.##.#....#...##...##.#..#.###.#....###.#.........####.#.#####.#.#.##..#.###.##.####.#....#.....####.......#.####.######.##....#.#..########.###.#.#########.#.#....#.#.....#..#.####.##.###.##.##.#.###.##.#.#.#..###.##.##.#.#....................####....##.#.##..#######.##.....##.######.####..#.##.#...##.####.##.##.#..#
###.#######.#########.#....####.....####.#.####.#......#.#.#.###...####.#...###.##.#####.####.#..######.###.####.#.#######......##.........##..##.....########.######.####.###.#.#.##.##.##.....####.#.########.#.##.##.#########...............#......#####.####.#####.#.#..##.######.#......####.###.##.#.#####.#.##..##.#.#.....#.#.###......#####.....#..##.......#.......####.###.############.#####..##........##...#.####..#............#.###....####.####.##.##.#.#..###....#.##..........#..#####.##......##.#.##########.#####.###.##...##....#..##.##.#.....#####.#...###....##..##.##.###.##.#.#.....#..#.##
#...#.##....#.###.###.#.##.#..#######.####.##.######.#########.###..#.#...#.##..#####....#....####.#.####.#.##.#.#.#.#.#.##########.##.#.#..##.###.##.##.##.##.#.##.#########.............#####.#.......#.###...#.#......#..##.#####.####.#########.#.###....#.#........#########.##.######.#..##..###..###.#...###..###########.#.#.#.#...#.#.####...#.#.#######.##.###.####....#.#.###.....#......###...###.###########...##.##...#.########.#.#.####.#......#####....#.#.#####.#...####.###.#.######.......#.##....#.#.##...#########.##..####.##.########.#....#.#.#.###...###.##.#.#..##...#.#...##...#.###...##..#
###....######.#.#.....####.##...#.#............#.#########..#......##.##.##.#####.#...#.#####..##....#.#...........#......##.#.#.##.#..#########...#..##..#..........##.#.#.##.#.####.#.#...###.#######....#..##########.#.##...##.########.####.#..###.###.##.#.#.##########.........#.###.########...###..###.....#####.#.##...#.#.####.##.####...###.#.#........#..##.##...##...#.#######.######...###.#.####.##....###.##...###.#.######.#.#.....##.##.#####.#.####.....#..######.#.##.##..###.##.#######.###..##........#.#..#......###.#....#...##.##...########...#.###.#.#..###.##..##.##.###..##.#######.##..##
#...##....###.#.#####.##.#.###.##.#########.##.....###.#.##.####.#....#####.#.##....#.###.....##..##.....##.###.##.######....#...##.####....#.##.#.#.####.#####.####.##.#....######...####.##...#.########.#####.##........####.##.#....##.........##.......##...#.#...##.#.#######.#.......###.#....#...#.##.#.###.##.........#.#####.....####.#.###...#.#######.##.##..###.##..#...........#..#.##.###....##......##......##.##.###.#..........#.#.#..##...##.....####.##.#.##.##...#..#.###.#....#.........#...######.###.####.#.##.###...######.###...###.###...#..#.........#.###...##.##..#.#...###..##......##..#
#########..............#...........#.#.#..#####.##.#........#..######.#.#...#.##.#.##################.##.#..######........##.###.#...######......######....#.##.#.......#.##..#.....#.##....###.............##....##.#.#.#..#.#.##.###.##..#.#.#.#.###.#.#.#####.#####......#....########.#.#.....####.#.###....#....###.##########.#..#.####.#.####..#.#.###..#..######..##################.##.#.##.#.####.######.########.....#.#######.###.#.##.#...##..######.#...####.......####...####...####.#######.#.#.#.#......##..##...############...########..##.....#...##########.#.#.##.##...##...###.#.##..#####.####.#
##..#.#####.#.#.######.###########.#.#.#.####.####.###.#.##.##..#.###.#.###....###..###.........##..###..####.##.#####.####........###.#....##.#...##.####......#######.#####.#####.#.####.######.##.######..####.#########......#.##..#######.###.#...#####.######....####.####.#.#......#.##.##...##.####..#.###.####..#......##..#.######.....#.##.###.#.##.##.#.#.#####.#.###......#.....#....#....##.....######.#.#....#.#...#.##....############..##...#.######.#.########......###.######.#...##.###.#.########.#####..###..#.###.######.##.##..###.#..#.#.##.###....##.#.#.......###.##.###......##..###....#..#
#..##.......#.####.#.#.#.##.##.#.#.....#.#....##...#######...##.#.......#.####..#####...#.#.#.#..##..#####.##.#.....####.######.##.###.####.####.###...##..#######.#.....#.#...######.#.....#.....####.####.##.#...####.#.##.###......##.###...##..#.#.###......#.######.............##.#.#..###..#..###....##.#.#.#....###.#.#..##.###.#....#.#....#####.#....##.#....##.........#.##.#####...##...##..###.###...##...###.######....##.###.##.#.##....##..###..###..............#.##.###..#.##....#....#.######.#.....##..##..###...#.#......#.....##.#...###########.####......######.##...##...####.###..##.##.###.##
##.#####.########....#......##...#####.#.####.####.#..#..###....#.#.###.....##.##.##..#####.####..##..#.#..#..#####........#....##.#........#....#...#....##.........###.#.#.#......####.##...#.#.#.......#.##.##.##.#.......########....#.#####..######.######.#.##.##..##.##.##.##.#..#.##########.####.######...##.###.######..#.##..###########..##.######.#..##.###..####.##.####.#.....###..#.###.........#....#..####.#.#####..####...#.#.##.##.###.#.##.#.##########.#.#.####...##....###.##.##........#.####.####....##.###.#.######.####.###.###...#..######.#####.###..#.#.#.###.##..###..#.#.#.##..##..##..#
##.#..#####..##.####.######.####.##......####.#.#..##...##.#.##.#####.##.##........###########.##..##.#.##.##.#.....#.#.##...#.##..##.#.#.#.##.#.##.##############.#####.#.#######.###.#####.##.######.##.........#....##.##.#.#......##.#.#.########.##.##.............##..#..########.######.###.....##.##..#..########.#..#.##....##.##.##.#.###.##...##......###.#.#####....####...##########.#...##.##.#####.#.###..............####..#...#.#..#...........#.#....##..#######....######.##...#..#..#.####.#......#....##......#.#.#.##.#......##....###.#.##.##.......######.#.#...#.#..##.####...#.#.###.###..##.#
#..##.#.#.##..#.##.....#.......#..######.#....#.##..###....####..#.#.....#..##.#.#..##..#.##.#.###......#..#....##.##.###..#.#..#.##..###.#.#..#.#..#.......#......#........#.####.#.........#..#.......##.#.####...##########.###.#.##........###.#......#####.#.#####.######.#........##.......############.######.#..#.##......##..........#......#.######.#####.....##.########..#..........##########..##....###...#.###.##.###.#....##.#...######.####.####.####.##.####...####.###.##.##.#.#####.####.#.#####.###.#.###.#.#.....#.##.######..###.##.#...##....#####............#.....##..#.####.#.#.#.#.#.##.##.#
##.#.......##...######.###.###.#.##.##...####.#.##.##.####.##.##.#.##########..####..##.#.#....#.##.#.#.##...##..###..#...####.##########.####.##########.#...#.#.####.#.##........########.##.##########..###....#####.........####..#.##.###.#...###.##.......#.#......###.#####.##.#..###.###.#...##.##.#...##....##....##################.######...#.##.###.#...#.#..#.#.#..#.##.########.#..#.#.##.###.######################...###########..##.#####....#...##.#.##.##.##.##....#.#.#...#####..#####......###..#...###...####.##...##..#...#.##......##.##..##.##########.#.#.#######..##....###.#.#.#.#.#.##.##.#
#..######.#####..........#####.#.##..###.##.#.#...........................#######...##..#.####...######....#.#..#######.##########.#.##.####.#.##.......###########....#######.#.#...........###......##..##...#.##...#########......####..#.....#...#####.####.####.##.##...#......###.##.#####.#.###..##.##.##..##....##.##...###............##.####.#.##..##.########.#.#.##...#####.##.#####............#.......##...#...##.###.#######.####.###..##.####.###.#....##........####.#.#...###.....##.....#.##...##.#.#######.##.#..##.####.###.#.####.#.##...#####.#.....##...#.###.......####.###.....#.#.#...##..#.#
##.###......#.##.#######.#........##.##.........####.#.#.####.##.##.##.##...##....#..##.#...####.#.#.#..##.#.##.##.#######.#..#.#........#.#.##########..#.###.##########.##...####.#.#.#############..#########.#..#..#.#.#.#..##.#....##.#########..##.####...##.###..####...##.###...##.........#.##.#..##..####..#.##..#..#.....#.#.######............#.##...###.#........##.##.#.#.##.#.#.##.###.##.#.###.###.#####.###.................#.....#.##...##...#....####..######........##.########.#..###.######....#.#....#..#....##...........#..#.###.###.##.#.####.##....#.#.###.#####.#.#..#.#####.#...###..##.#.#
##.#.######...########...#####.##.......##.##.#.##...#.#.#....##.#######..#..#######....###........#.############.....##.#.##...##.###.#...#..##.#.#.###........#............#.##...######.#.#.##.####.#.#.#.#...##.##.........###.#.#######..###.###.##.##...#.#......##....#.##.#...#..#.###.#.#....#.##....######.#####.######.#######..#...##.#####.#....##.##.#.#####.##.##.##...............#...#######..#.....##....#########.#######.#####.#..###....#.####...######.#.########....#..#.###.######.#......#.##.####.#######.###.#.#.####.##.#..#............#.#############.###.###.#.##.#..##.....###.##.##...#
#...........#..##......#.......#####.#####.####.###.########.##..#.##.######.#.#..#####.#.########...####.####....#.#.......##.#####.#####.##.#........########...#.#####.###########..##.........#.#........###.##..##.##.#.#.##..####.#.###..........#....###.#.##.#.#####.#######.#######.########.#..##.#..#...####.#...##.#####..####.###.##.#.....##.#............####......####.###.##.##.###.##.#.#.#######.#####.##.#.#.#.###...............#########..#.#.#....#...#...#.#.#####...##.#.#...##...##.##.##.#..#.....##.#####.#####.#.......##...##.#.####.##..#.#.###.#.#...#..#.....##.##.#####.##......##.###
#.##.#.####.##.#######.##.#.#.##.##...##...#......###.........####.......#.#.#.#.##.....#.##.###.###.......#.######.#.#.#.#......##...........########.#.##.....#####.....###.##..####....#.##.##.#...#.##.#.....##.###.##.#.#..##.##.....#.#.####.#.#...###############.....######..#.##.#...##..###.##.#####.#.####.#.###..........##.........############.##########.#.#..#.#.##.#..#...####...####...............##.............############.#.#.##.#.#####.....####.###.###...#.#.##..####...##.####.##..#..###########.............##########..#.#.#######...###.#.....#.#.###.##.#####.##.#...#.##.#####.#....#.#
###..###....#...#.##.###..######....#.#####################.#.##...##.##..........#####.#.##...#.....#####....##..############.###..#######.#....##......#########.###.##.#....##.#..###########....#.#######.##..###.###..#.#.##########.#.#####..###.#.#....####.##.########.##...##......#..##.........##.#....##........#####.##..####.#.#.##............#..........#...##.#..#.#.###.##.###.##....#.##########.#####.#####.###.#.#.##.##.#..###......#...####.##..........###......##.##.##.##...#.########...#.###################.#.#.#.####.######.#.#.###..##.##.##...#.#.#.#...##........#.#.#...##.###.##...#
#...##...#.####......#######.....#.##.#.###.####........#...#.##.#..######.#####.###.......###.########..####.#..##..#.#.#......######.#.######.#####.##...#.#.#.#.#.#######.#.##.##.#.##.....##########.......##.#.......####.##............#....###########.#.#...............##########.###..#######.#....####.#..##.#.#.##....###....#####..##.##.#####.###########...####.##......##.#..#.#..##.#.#.###.###..........##....#..........#..###########.###......##.#.####.###...##.#..#.#.....####...##.##....###.#.#...######.#.................#.#.##.......##..#.#######.......###.####.####.###...####..#####.###
#.#.##.#####.##.#.##.........##.##..###..........##.#.#...#.#..#######.....#.....#.##.###.##.#.#.##.##..##.#..##..##.....#####.##.###....#.##...#.#.######.........#.##..#.###.....#....###.#............############.###.#.#...###.#.######.###.##...#.#.#.#.....#.##.##.#####..#.#.#.#.######.#.......####.#......#############..##.##.##.###########.#....###........#.#....##.#.#.##..##.#.###########...#.###.#.########.#.####.#####...##.##...##.......####..#####....####.######...###.#..#.###.##.#####.##......#........##.###.##.#.#.#.#......#######.###.#..##.####.####.#......###.#...####..#.##..##.#...#
###.#..##.#.....#..##.#.##.#.#####.##...######.#.#######.##.######.....#.#.###.#......#..............##.##.##.#..#######.##.....#.#.####....###.#.#..#.###########...###.#.#######.###.##.######.##.#.#.#######..#....#####...#####.###.##........###.........##.####..####..###............#.#.#######..###.######..##.......######..#......##.###.##....####.####.###.###.##.####.########...##.#.#.#.####.....#.#.#........#.#######.####.##..###..###.#.#.##...##.....##...#####.#...#..##.####.###.##.#.#.##################....#####..#.##########..#.#.#......##.#..#....#....####.###...###...###.#..##.#..#.###
#...####....#.#.##.#..#..###.#.#....##.##......#..##.##..#####.#.#####.#.############.##.#.###.#.###..........##.#.##.......#.#.......###.####....##...#.#..#.#....#.......#.###.#.........#.#...##.###.##....##.##.###.....#.#.#.####.....####.###.####.##.#..###....##.###..#############.#...##....####...###..##..###.##.##..###########.##..#.....##.###.........####..#..#.######..#.###..#.#.#.#.#.######.###########.##.#...#.........##.#.##.##..#.#.###############.##.#.#.######.##..##..#.#.#.......#.#...###...###...#.##.....#####.#....###...#.######.#..##.##.######........###..#..#.#...#.##..##.....#
#########.#.###.##.##.##..####.##.###..##.####.##.#.....##.#.#.#..##.######............#####...#.#...#.#.#.##.......#######.####.####.#.#..#.####.####.#.##...#######.#.##.........#.##.##.....#.#..#...#####.....#########.#.#...##.#############..#....##.##..##.#.##...###..##.###..##.#.###.#####..##..#...##.#########.....##.#.#........##...########.##.###.#.###.##.##.#...##.##.....##.....#............##.#.........#####.#####.###............##.#.#.....##.#.#.#..##...#.#..#.#.##.####.#...####.##...#.###...#.....#.########.#.......##.#...#....#.#.#.##.#...####.###.#.####.#.##.##.####.##.#..###.#.#.#
#.......#.#.#####..##..####.#...########..######..#######..#...#.##...#.#.#####.####.####.###.##.#.#.#.#.#.####.##.##.##....##.####.......##..##....#.....#.#...###.#.#..######.##.#.#######.#.#######.##.....##.####.#.....#####.#...##......##.##.###.###.##.##########..###........##..........#.##.###.#.#....#.##...##.###..#.....#.#.##..#.###.....##....##..#.#...##..#####.##.#..#.#....###...##.#.#.###....######.#####.#......##########.#.#.###..#.##.##..........#####...#.##.#.##..##....###..######.....##.##.#.######.......#.##.#.##....#.#.##...#....#.##.###...#...###.............#.#.##.##.#.###.###
#######...#.#.....##..####....#..........##...#####.##.###.###....###.......#....##..##.......#..#.#.#######....##.##....#.##..##.#######..##....##.#####.####.##.....######....##.#.#.......#.##.##.####.##.##.........######......#..######.##.##.#.####...####.#...###.##.##.#####....########...##.#.########.#..###.#######.####.####.###.....###.#....#.##..##.#.#..#####.#.......#####.######.##..#.######.#.#.#..#####.#...##.#............###############..########...#.###...##...###..##.#####.##..#...#.###########..#...##.#.#####.######.##.######.####...##.#.###...#.#...###########...#.#..##.#.##...##
#.###.#.#.#.##.#.##..###...#.##.#.#.#.##.####................####...#######...#.###.##..#.#.######.#.##......##.#.....#.######......#..###.###.#.#..#.......##.######..#.#...#.##..#.##.#.##.#.#......#...#..##.#.##.#.##..#.##.#.#.##....#.#..........#.#####..#.###.#....#.######.#.####......#.#.................##....##..#..##.###.#..#.##.####...##.#.#############.###.....#.#.#####...##.....#########.##.#.....####.#.###########.#.#.#.####.##.##..##..####.####.#.#...#####..###.#.##.##.###...###.#####..#.##..#####.##########.#...#.......####.#.#.#..###..#.#.#.##.########.#.#.#######.#.##.##.#..###..#
#.......#.#.#..#.###.##..#.#..###.#.###..#....########.#.#.#..#.###.#...#...#.###.#####.###.##.....######.##.#..#.#.#.####...###.##.##.#.#.#.###.##.######.##...#.....##...#.#######.##.#.#######.#.#...#.##.##.###..#####.#..#########.#.....##.#####.#....###.#.##....##...#.#....#.#....#.##...##.#.##.####.####..####.###.##.##.##....##....#.##.#..#####..##...#.#...#.#.##########.#..#..##.##.#....#..#.#####.##.........####.#.....#.#.#.##.......##.#..##.#.......#####.#.#.#.###..#.#.....#.###.#.#.##.#..##..##..#.....#.#.##.#....#.#####.####.........##.##.......####.#.....................#..#.#.####.##
##.###.######.####....#######.##..#..###.###.##.....##.######....##.###.#########.##..###...###########.######.##.#.#.#....#.######....#.....######...#.......#...##########.#.......######.#.#.#######.#.#######...##.....##.##..##..######.#####.......####.....####.#####.....##...#.#.######.##..#..####.####.##.......#..#......############..###########.####.#.###...######.#.......##############.##.....#.#####.#.#.##........#.#.#.#.###..##.##....##.##.####.##..####.......#.##.#.####.##.##....#.#..##..##.###.#####.#......######.#..####..#######.#.......#.###..##..##########.##########.##.#.#.##.#..#
#..#....#################.#...#..#####.###...#..#.#..#####..##.#....#.#.#.#####.#.#..########.###.##.#...#.#############.###....#.####.####.##.##.###.##.##.####.#####.#.######.#.##.#......#.#.##.#..#####.#...##########.##.##.##..####....#..####.###.##.#####.#.##.##.###.###############.######.#####...##......#.###.##...#.##...####.###...###.#...#.....##.....####..##....#####.###.###.#..#......#.#.#.......#.##########.#.####.###############.#..#.#.......###..#...##.##.#.##......#.##..####.....##..###.#.#..#.##.###.##.#.#######.#.###.#.#.....#.#.#.###.#...####..#.#.#######...#..#.#.#..#.#.#..#.##
#.####.##.#.##.#.#..........###.##.#.#.########.####.##..##.#####.#.......#.#.#.#.#.###....#...........#.#.#.##.##.#.#.####..##.........#.#.#..##.###....##.#....##........##.###########.#.....#....####...#.####.#..............##.##.#######..#####...............#.#...####........#.#.#....##.#.##....#....#.##.#.#......#.####.#........###...#.###.##.##....#.#...###.#####..#######......##.##.###.#.#.##.##.#...##....##.######...##....###....#####.#.#######.#.##...#.##.##......####.#.#..##..####.####.#.#.#.##......#.###........##............#.###############..#.##.#.#.....#####.##...#.##.#.#.##....#
######.#..#.##.#.########.#####.##.....#.#.##...###..###.##.#.#.#######.#.............####.#.###.#.#.###.#.#.##........##...#####.#.#.#...#.##.##.#...#.##..######..###.##.##.##.#..#.#########.####....###...#.#....#####.#.#.##.........###.##...#####.###.#.#####.#####.#....#.####.#.#...##......###.######.####.#.#.##.#.#.#....##.#.#.#.....#.#........#####.#####......#.##.##...#.######.##..###.#...##########.######.........#####..##...####.#.#.......#.....#..###.#..#####.###.##...#.##.###.##....##.........######.#.#####.####.#..#####.##.###..##.......##.#..##......###.#...##.....#...........##.###
##.#.####.#.##.#.#.###....#......###.#.....######.##..........#.##.#....#.##.###.###.##.#....##########....#.#########.######.##..###.###...........###..#########.##...#..##.##.##.#....#.####.#..####...###...#######....###..####.####.#....##.##.....#...####.....##.#...##.#####......#..###.####...#......##.###.#.#..###.##.#.####.####.##.#...########.######.#..#.##...##.##.#....#.###.###.##....#.##.....#.####.#...###.###.#.#########.####.....##.##...###.##.....##.##....##..####.......##..##.#.#########.##........#.#####......##############.#..##.##....##..####.#.#.#####....#######.#.###.#.##.#.#
#.....##...............##.#.##.###.#######..#.##.....#.#.####.#....###############....#.#.####......#.#.##....##.................##...#...##.#.#.##...####.........#..#.##............##........##.##...#######...###.##.###...########.#.###.##...###.#.######.#####.#....#.#..###.##.##.##.##...######.###.#####...######..##.#..###.#####.###########...###...###..#.##.####.....######.#......#.....#.##.######.#.##.#.###.#...#........##.###.#....#.#.##.#..####...##.####..###.#.#..##.##.##.##....#####.#.##.##...#########.#.#.#####.##.#....##.###.####.#########.###..#.#.#...##.####.###.#..#########..#...#
#.###....#.#.##.##.#.#..###.####....#.#.###....#########.#....####.#..##.##.#...#####.#.#####..####.#.#######..#####.##.##.#.#.########.#.##.###.#..#.##...#.#.#.#.##.#..##.#.##.#.##.#..####.#.......#..##...###........##..###...............###..##########..........##.######.#.####...#####.##..###########.#.####.####.#..#####...##....#.#..#.....#...###.#.##.######.##.#.#..##.#..##.#.#...###.#.#...##.##.#.#.....###########.###..........##.#.###..#####...########..##...#.#.###....##..##.#..##.........###.#.#...###.....#.#.########.##..#...#.####.##.#.##.#.##.#.#####.#...#####.#.##.##.#...###.#.#.#
#..###.#####.####..######......##.#......####.##.#.##########.##...##.........#..##.....###.######............##.###########.#.##.##########...#.##.#.########.###.#..#.#####.##.###..####....##.##.####.###.##.###.#.#####.##...##.#.#.#.#.##..###.#.#........######.#.##..##....#.#.###.####.#####.#.###.......#..##...#.####.##....#..####.#.##...#######..#.......##........####....##.##########...########.#....#####..##...##.#..#...#.#.###########...##.....#.#.#.#....###.#.#####...#.##..##..##..##.######.......#.###.##.##......#.##.##.###...#...#.#..##.#.#..........##.#.###.#.##..........###..##...###
##..####.....#.######...###.##.#####.#.#.............#...........#....##.#######.######...#........##.#####.#......#...##....###.......#.....###..#####.....####...##.####.####..####.###..##.########...#.#........###.....###################.#.#.#.########.#......#####..####.....#.####....#.#..#.#.#####.#.#.#####...#..#######.##....#...#########.###.#######.######.#.##....##......#.##########...##.....##.#.#.##.#..#......##.#.######.###.#.####.######.###...###.##...#..#.###.####..########.#####.#.##.###.##.##...#.#######...........##.####.#.##......#########.##...........#########.##.##.####..##
#####.########....#.###...######.#.#.####.###.#.####.######.#.#.##.##..########...#.#####...##.#.#########..##.#.#...#..####.##..###.#...#.#...##.##.##.###..#######..##........##....#...#####.#.##...#.....##.#.#.##..#.#.#........#.#........#.#.#.#.###.############.#####.###.##.#..#...##.#.##...#.##.####...#.#.###.##..###.##..##.#...#..#.###.....#....#####.#..#...#..####.###.#.#....#...##..###.########..#.#.##...##.##.#..######.........#...#..#....#######.....###.###.#.....#....##.........##........##......#.#####.###.#####.###.#.####.......######.######.##.############.#.#.###.#.#..#..#.###..#
#.##.....##.#####....###.###.##....###..###...####....##....#####..##.##........#.........########..##.....###.###.#.##.......##.#...##.####.######...###.##.#.#.############.###..######.##......###.####.#.#..###.##.######.##.###...#####.##.......#.#....##............#.#.....#####.######.#.#..#.#.##.#.####.#.#.##..###..#...#.##########...#.#####.##.#.......##.##.#####.####.#.#.##.#...#.#..##.#..####.###...#.###.########.###.....#######.###.#######.........#####...##..#.########.##.##.##.#....###.#########.##..#.#.......#.#####..#...######.#...##.#.#.......#......................#.##.##.....##.#
#.####.#......######.#.#..#..####.#####.####.###.##.#....##..#.###.###############.#.##.####..#.###.##.##.##.#.#...#####.###.##..#.#..###.....##.####.##..##...#....#####.#.##########.####..##.#..#####...####.##...###.#.###########........##.####...##.#..###.#.##.#.#...##.##...#.#.##.#.....####...#..#.#..#...#..##...##...########.######.##..##....#########.......##...........#..#######.##.##.#.##.....#..#...#...#.##.....#...###.#####.#.#....##.....##.#.#####....#.##########.....#...#######.#.##..####.###..#..##.####.##...#.#.#.###.##...######.#....#######...#.#####.#.##########.#.##.##.###.#..#
#.#.#######.#...#.##.#.##.#.##.##.##....#..####.....#.##.###.#...###.##.###........#..###..##........######..#####.#..####....####.####...#.###........##..###.####.#.##..#.##..####.....#########.......#.##....##.##......##.##......##.#####..#..###..#.##..############.########...#.##.#####...####.##...##.###.##..#.######..#.#.##.....#......##..##..#.#......#.###..#########.#.####..................###...####.###.#....#.#.###.##..#.........##.#############.#.###.####........###.#.#.#.#.......#..####....#.##...###....######.....###.#.###.##.#....##.#..#.#.####.#####.#######.#.#.......#..###.#.##.#
#.....#.#####.#........##.#.##....#####.#.###.############...###............##.##.###.####.#######.#..#...##.##.#####.#.###.######.#....#####.#####.##..#.##.#.#......###......##....###..###.#..##.##.#.###..#.#########.#....############.....###.###.######.#.#.#.#..#.#.##.#.##..#......###...#..##.....#.....#.....##.#.##...##...######.######.#######.#.###.#.#####..###.#.#....##########.#.##.#.##.#.##...###........##.#.#.#.#....##############...##..###.#.#....#.....##.#.####..###############.#####.#####....##.##...#####.#.###.#..#....#...#..####.#####.......#..##.....#.#......#######...##.....#..#
###.###.....####.#.###.##......##..##.#...##......##.#...########.#.#.#####.##.#....###..#.#...#.####...###..................##..#########.##.#.#.#.###.#.#......#.##.....####..######...##...##.#..#..###...#####.##.########.#.##.###..####.###...#.#.#.#.##.....#.##.#.#.#.....######.##.....#.##....######.##...#.#....#.####.####..##.#..........#.#........#####.#...##.......#.##....#.###.#.#..###..#####.#######.#.#..#####.###.#.##########.#.####.###.#.......##.###.########....##.#..##.#.###.###......##...##....####.#.##....######.####.###...###....##.##.####.#########.#...##.#.###.....#..#####...##
#.....###.####.#######.###########......#####.##.##....###.###..#.########...####.######.#.###.#.######.#.###.##.#.#.#.##.#.####..#.####........#.###...#.###########.##.##....##.######.####.##.##.##.#######.#.#....#.###...........##.#.########...#......#####......#.#.#####...#.....#####.#.#..####.##.#####.#####.#.....#....###.#....##.#.##.##.####.##.##..#..############.#######.#.#.######.#######..####......###.###..#.#######...#.........##......##########.##...##...###.#......###.#.#.#.########..#.#######..##.....####.#..#.#.##.#.#...#...####..#.######..###.#.#...###..###.#.####.###.#.#.###..#
##.#.##....##..###......##.##...#######..##.#.##....##.....#.##...##.#.....####.###.#.#..........#.##...#..################.#.###........##.###.#..####.#...###.#.#.##########............##..##.####..#.#.......#.##.#.#.###.#.#.#.#..#.#.#.##.#.###.######.##....#.##...#.#..####...#.###########.#####.....##...#..####.###.##.###.#.###########...#.#.#####..##...###.#.#.###.####.#....#.#..#.##..#..##.##..#.##.#.#.######..####.##.####.####.###.##..##.#..##..###......#..###.#...###.##..#...........#.#.##.####.##.#.#######.#.#..##.#.#.#..#.#######..####....###.##.......###.#...##..........#.#.........##
####.##.##..##.#.#####.##.....###.##.###....#.###.#####.##....#.#.#....#.#.#..#.##....##.#.#####.#.#..#...##.##..####.##.#..#.#.##.#.########...#.##.#..###.#........#.###...#####.#.#.##..##......#####...#####.####.#.#.#.##########.....#.#..#.##..##..##.############.....##....#####.#.....#####.....###.####.#.##.######.#..##.....###...#.####.....#.#...#####..#..#.#......##..####.#.##....#####.#...##...########.##.##.#.#...#.#.#..#######..########.####.#.###.##.##.#.....#.#....##.#######.###........#.......#.##.##...#.##......#.##.#..###..#.##.####.##....##.####.##..#######.#########...#.#.###..#
#.#...#####.#..#.#..#...####.###.......###.####.###..########.#######.####.##......##..###.#.......######.#...#.##.#.....####.#.######........#......##.......######.#.#.#.##############.###.#.##....#######.....#..........#..####.#####.#.#.##..##.##.###...##.#.##..#####....#.###.##.####.##.##..#.###........#......##.#.##.#####.##.###...#.######.#.###....###.##...######.###.#....#.#####..##.#.###.####.....#.#............#.......##..##.##.#.##.##.........#....##########.########........########.###.#######.#..#..###.#..####.#....#.##.#.##.#.##.#..#.####.#####....###.##.#....#.....#######.###.##.#
#.###..##.#.##.#.##...#.##...#.######.##....##....##...#.#.....#.#.#######..###.######.....#######...#.##.###.#.##.#####.###..#.#.#.#..####.####.#.#....####.#####..........##...##.##........#######..#.##.#.#.#...###.####.#.##.#...#........##.##...#.#.##.##.....#.##.#####.##.#.......#.#.##.#..##.#...#.##.#######.##....##..##..........#.....#.......##.####....###.##.##......####.....##..##..#.#.#.#....###...####.#.##.##.#.#.#.#....##...........###.#####...#.####.##.#.....###....#####.###..#.####...#.##....##.##.#.#.##.#..######...#.......#.#..##...#.#..#.######.#.#..#.##########.#.#.##..#......#
#.####.##.#.......#####..###...##.###.####.####.######.#.####.##.#.#.#.#.#.##....###.####.##########.............#.#.###...##.........###...########.##.######.....#.##.##.#####....##.#.########.####...#....###########......#....#.###.#.##..#.####.....#..######....#.#..##.#..#.###.#...#.##.##################.##...####.##.####.#############.#####.#.....#.####.#.#.#.....#.##......#.###..####.#.#...#######..#......##################....#.##.####.....#####.#.###.....#.#######.####.#.......##....##..#....####....#.......#.#.###..####.#####.#.....##..#.....##.#.##...#.##.#...#.#.............##.####.#
#...........####.##.####.#.###.##.#.#.#.#...##..##.#...#.#.#...#.#.#.#.#.#########.#.######.......#..###.#.##.##.....#.##.##..#####.#.#.##.##.#.#.####..#...#..##########......###.###.#######..#....###...#####.#.##.######.#...####.....#..##........###.##..##....##...##.#########.#####..........##.###....##...#..#..##.....#..#####.#.###..#........##.##...##.......###.#.###..##.###.#.##.##.....###.#..##.##.#.#.######.#.##.#.#.#...####.#.#..#....#.###.....#.######.##..##.......####.##.#.######.#..###.#..#.##.#.#.#####.#.#.#.##.......##.#######.#########..#.#.#..#......###.....##.##.#.###..###....#
##.###.#.#.##...............#.......#.#.###.#..##..###.......#............#.#...##.......##.#.#.#...###..#########.###.....####..######....##.......###.###.####....#..###.#.#.##..#.###.....##.####.#...#.##.......#.#.#.##.###.#.######.######.###.####.....####.######....#.#....#..##.#..#.#.#.##.#......##..###.#####.#..###...####.....#.##.#####.#######..#..##.####.#.#######.#####.....#...####.##.#.##....####.#.#....#.#.#......###.#....####.##.#.#.##..##.##...###...#.#########.#.#######..##....####...##....###...###..........##.##.#..#.##.###..#.###.####.....#########.##########.############..##.#
#####..#.###..###.#.#.#.#.#...#.#.#.#.#.#.#.##....##.##.##########.#.###.##.##.######.##....#.####.##...##...........####.##.###...#.##.##..#######..####....####.#...##.###.#..#.##...#####.#..##.....#.#..#####.#........#######.#.#.#######.#####..#.#####.#######.#####.##.####...##....######.#....#.#.####...........####.##.###.###.#.........#######.######.#####.......###.###.##..###.###..#....#...##.####.#..######...#.######.......##.##...#..#######.#..#..#.#...#...#.##.##.....#.#..#..######..####.####.#.....###...#.##.#.#....#####........##.#.#.#.#.#..###..##.#.#.........###...##.....#.#..##..#
#.#...####...##...#.###########.###.#.#.#.#.#####.#.....#..........#.##.........##.#####.#.##.#....###.#####.#.#.#.#...........###.#..#######..##.#.##.#####.#.######.##.######...#..#######.##.###.######.##.....##.#####.###.##....#.#.##.....#....##.##.....##.....#.###.##.##...#....##.#.####.###.####..##..####.##.#......##.#.#..########.###.#.#......##....#.#.###.#.###...##...#####....##.####.###.#...##..####..#.###....#.#.#.####.#######.###.#..##.####.#.####.#.##.##.#...#####...##.##..##.###.#.#..##.####.##.#####.#.######.#.##.#.##.###.#........#.#.#####..##......#.#.###.....#..###.#...####..##
#.###.#.####.######.###.........#............###....#.#########.##.#####.##.#.#..........#.#########.###.....#.###.##.#.##.###.##....##...#.##.##........#.......##.........#.###.##..##...#.#..#.####..#######.#.#..#............##........###.#.#####.#..#.#..#####...#....#.#######.#.#..#..#.########...###############.#.#......##.#.#.###..#.......#.##.#####......####.#.##.####.##.#.####.##..##...##.###.###.#.###.#.##..##.......#....##.#.#####..##.....#...####...#.##.##.##.##.####.##..##.###.#...#.####..#....##.#.....#.#......###.....####..#.#.#.##.......#.##.#..##.#.##########.##.########.#####..#
#.....#...##.#......#.####.#.#.######.####.#.....##.#.#..........####.####..####.#.##.##.###.#.#.###.#############.#..#.#####..#####..###.#....#########...##.##....#.###.#........##..###...##...##.##.#.#...###.#####################.#.#.#.....##....#######..###..#...##....##.#...#.#####....##..#.######.##....##.########.###..........##.######.####...##...####...##.......#.#....#.##...###.####.#..........#.#.#...#######.###.########...#.#.#########.##.##..#######.............#...##.#....#.###...#####.####..####.##.#.#.#.#.########.##.#############.###........#####.##.....#....###...........#..##
#.##.####....##.#.###..#...#.#.#......#....##.##..#.####.#.#.#.###....#.######...####.#..##..........#.##...##...########.#.##.#.#.#.##.#.####.#.###.##..#..#####.#.#############.##..##...#..##.##...#.#.#.#.....#...##............#...#.#############.#.#.#.#.##.#.###.##..##......#.###...####.###.#.##.##...####.....#.#.#.#########.#.#.#####.#.####.#..#..#####....#....#.#.#.....##...###.##....###.###.#.##.#...#.###.#.##.########...##.###.....#.##......######.##.#.####.###.##.##...#....####...#.###............##....#..##########.##.#.......#.#.#...###.#...######.##....###.##.##.###...#.#.##.##.#.###
#.##..##..#.##..######.#.##########.#.##.####.#..####....#.#####.###.##..###.######.######..####.###....###..##.##.....#....#...........................######.#######..##...#.......##..####.......#...#.####.##.###..########.###...######.#####.#.#...........#.###.#####..###.##.#.#####.#.....#.......####.#.###.##..............######..#.#....#.#....###.......#.##.#.#########.#####.#.#.#..##.........#######.##.#.#...##..........#....#######.#..######.#.#.#..#....#....##..############...#..#...###.#.#.##.###.##.##.##.##.#.##....#....##.##.......#.....##.##.......#.####...#.....#####.########......#
###..##########.#......######.##.##.#.#..#....####.#######..##....#.....##.#.#.......##.#..##..####..##.....##..##.#.#.####.###.##.#####.#.########.#.#.##......##.#.##.####.####.##..#####.###########.#.##.#########..###...###.##.##..........#.#.#.##.#.####....##..#..####....#.###.#.#...###...#####.#.......#############.#.##.#.##...##.##.#...##############.#.#..###.####.#####..........#####.###.###..............#....##.##.#######.#.#.#.....##.##.#.#.#.##.####.##########.##.#########...####.....#.#############..####.....####.###.###############.#.###.##.###.#.###########.##...##..#........##.###
#...###.#..##.#.##.#.#..#..#........#.##.##.###.#...#.#....######...#.#....#.###.###.#..######.###..####.##.###..#####......#....#########.##.......###..#####.##........#...##...###.#.#.....####.#.##...##..##.#..###.#.###..##.##############...#.######..######..##.#.##....#.#####..#.##.#####.###.#....####.##.##.##.#.#######..#..###.#..######..#.##.#...####.#######...#.....#.####.#.#.###.#####...##..##.#.#.########.###########...........#.#.........#......####.###.##.##........#..####.##....##.######.#...########....#.#..###.....##............#####...#####..#.##....###.###..##########.###.##.###
######..##.......######.##.####.###.#########.....#...###.####.#########.#....####...##.###........##..####.#.##.##.#..##.#...####.....######.####.##...##........#.#.##.###.####.#.#...#.#.#...........#####.#..##.#...#.##..##..#.#.#..##......#....#.######.####.##.......#.##..##...##..####.####.....#.##........#..#.#.#.#..###.##.#.#.##.#.#..##........#......##.#....#.#####........#.#.#......##.#..##.#..###.#..###.#.###.##.#....######.#.##.####.####...####.#...........#########.#.##....##.##.####.#..#.###..##.############.#...#.#.###########.#.......#..##...##..##.#......###.##.#.#.#...#...##...#
#.##.##.###.###.###.#.#.#..#....#....##.##.##########.#....##......#..######.##.#..#....#.#####.#.####............#...#######.##...#.#........#....####.####.#.####.#.#.......#####...###############.#.#.##..##.#..###.#.###..##.#.#.##.##########.#...#..##.......######.############.##.####...#...#.#.###..#.#.##.##.#.#.#.##......#........#.#.##..##.######.#.###....#.##.#.##########.#.#.##.#.#....##.##.##.#...##...#.###.#..#.####.#......######.##.#....####.#.#######.#.#................##.####...###.##.#.####.##....#.....#.....#.###..##.........##.##.#.##.#..#.##.######.###.....#........#.###.##.###
#.#..##.#.#.##..#.....#.##...#.####.###.......##.#.#..##.#########.#.##.#....##.#######.#.#.#######..#######.#.##...#..##..######.#####.###.#.###.##.....#.#############.####...#####...##.##.##.##.###.#..##....##.#.#.#.....###.........##..#.#...###.##..#######..#.######.#.###.##......#.###.#####.#...######.#............####.#...#.#.##........######.##..###...######.......#####.#####.#..#.##.#.##.#...##########.#.##..##.....#####.#.#.##.##.....#.##.#.......############.##.##.##.#.#.##.#....#.#.............#####.###.#...#.#.#.#...####.##.#.#.####..#########.##.##.....#...##.##.##.#.#.###...##...#
#.##..#.#.#####.#####......#.#.#......#.#.#.#....#.##..#####.##.##...##.#.##..#.#.#..##.#...#.##.#..##.###.###############.#.#.####..#####..###....#######.##.##....##.#.#..##.##.#.###.##.#.........#....######..........###.....#.#.#.#####...#####...###.#.#.#.#.##.#........#.#.#..####.#.#.#..##########.############.#.##......#.#.###..##.#.###.##......##.#######...#..#.#.#.............#######.#.#..#####.....#.#.....##..#####.#.#.###.#.#.....##.#######.##.##........##############.#.#..##################.#.#.#.#.#..#####.#############....#######....##.........##.###.##.###.#..##.#..######..#..##.##
#.###......##.####.#..#.#.##.###.###.#########.#......###..........#..#.#####.#.#.##.#..###...##.##.##.#...##.#.##.#.#.#.#.#.#......##.#.#.##########......#...##.####.####.....#...##.......#######...##..#.#########.##.######.######..#.####..######.#.#.#...#......####.#.#...#.##.####.#.#.#.##..##.......#.####.##########.##.##.#.##..##..###...##.####..###.##.#..#...##.#.##.#.#.##.##.##.......#######..####.##.#####.##.####.......#########.#.##.##......#...####.##.##.#..##.##.#...#.#####.####.#..####.##.###.#.#.#.##.#...#.....#.....######.......#.##..###.#.#..###...##.##..##.##.#.##......##.##...#
#..#######.....##....####..#.#...#....##...#.####.###...#########.###.#.##.#.........##.##..#........#.###.#.............#.#.######......####.#.....######.###.##...#...##..###.###.####.######.#########.##......#....#..#......#.##...##.#.###....#.#.......#...#.##..##..#.#.#......#...........#.########.##.#.#......#.#..###..##.#.#..##..######..####.##.##.......####.##.#.#..#.#.#..#######.#.#.##.##.##.#.#...#.###....#.##...#####.#.##.#.###############.######...#.......###..#...#.####...........##....##.#..........#...#.#.###...###.#.###..#.#########.#...#.##..####..#############.#..##.#.##.###.##
##..#.#.#..###.#..##.##...##.##.####.#####.#..#.####..###...########.........#####.#..#.###.######.#.........#########.#.....#.####.#.##.##.#.#####.##............#.##.##..##.....#...######...............##.###...#.###.##.##.##..###..#....###.#.....#.##.##########..#########.#.#.#.#.#.#.#.#.#.##.....#.##.#.######...##.....###.#.##..##.#......##..........####.##....##.####.########.#.#...#####.....##.....#.....##.#....#.#####.#......#.#.#.#.#######...#...#..#.#.#.###.#.##.########.########.##.#####..#####.##.#.#...#.#.#.#...###.....#.##.#.#.........##.######.#.#####.........##..#####.#.##..##..#
###.......##.....###.##.#.#..#...#########.##.#.##.##.#.###.#...##...#.#####.#.....##....#####.############.##.......#######......#####.......#......###.####.#####.#.....##..#.#...#.#.##.#####.#.####.##..###.#######.###########.#.##.####.#.####.##.######.#.#.##.#.##.##....#################....#####...##.#.#......#....##.##...#..##.##.##########.#####.#.#.....###.#####....#........#.###.##....#.#..###.#.#####.#######.####......##.#...........##....#.###...########.................####.#.###....#.#.###.....#######.#.###.#.#.#######.#.########.#.###.####.#.####..####.#.#####.#..##.....#..##.#..##
#...##.#####.###.##...###.##.#####.##.##......#.#........##.###.####.###.....####.####.#...##.....#.##.##....#######...###.####.####.###.####.#####.##.###.#####.#..##.#.##..########.......#.#############..##.#.###...#####.#......................#..##.......#.##.......####..##..#..##...#.####.##.#.###........#.##.##.#.#..####.##.##.####.....#.############.##########.##############.#..#..###.#.#.##.....#.#.......##....##.####.#.#######.#####.##########.#.#.#.##..###.#####.#.#.#.##.........#####......#..#.#.####....#..########.#.......#.##.....###...#.##.#.#.###.#..#####.#.#.#########.##..#.##..#
########...###.#.#..###...#######......######.....###.##....##..#.#..##..##.####..#....#.#....#.#.........#.####.####.##.........##...####.#........##.#....##.....##..###..##.#.####.#.###.#.#.#.##..###.#.###.#.#.##.##.##....##.#.##.###.#.#.####.##..#######....##.####.#.###.###.#.##..#.................##.##.##.#..#..#.##..##..##..###.######.#.#.#.....#.##.##..#....#..##.###...##.#.##.####.###.#..###.######.####..##.####.####.#..##.....#.....#.##.##.##.#.#.#..##.....##....###.#####.#.####.......##.#...######.#..#.###.#.#.##.....#.###.#..#.#.#.#######....#.#.#...##.##.#......###.#.#...#..##..##.#
####.#####.##....##.#...#.#.......#.##........###.#...#..##.###.....##########.#########.#.##.#.#.#.##.#.#####........#########.#####.#.#....#.##.#..#.####.######..#####..###........#####.#.#......##...#.#.#.....#.....#######################.##.#..####.....##..####.#...#...#......#.#########.##########...####.##.##.###..##..####.##...........#.#####.......##...##.##.#....###.#.......#.#......#.##...##.#.#######.##..##..#....#.##..##.##.#.#..............#.##....###..###########....###....#.##.######.##.#.#....##..##.#....###.#####.....##.###.#..#.###.#...#.#.#.......######.#.......####..##.#..#
#......#...#..#.##..###.####.##.#.#.#..####.#.##..#.#######.....##.##.####.......##.######.###############.#.##.##.##.#.####.##.##.##.#.############.#.##...#..#.##...##..##.##.#######.....#.###.##..###.....#####.#####.#.##.#....#.##..##.#.#.....#.###.##.##..##..##....#...#.######.###.#.##.#..#..........#####...#..######.##.##....#####.#.#.##.........##.#.####.##...#.####..##...###.#.....######..###.#.....#.........####.####.###################.#.#.#.##.#..######...##......##.###.######.##.#..#......##.....##.###.#######..#####.#..#.#..########.....#####...#########.#.##.#.####.##....##..####.#
###.##.###...####..###....############.##...#####.####.#....#.#.#..##.#....#.#.#........#..#.##..#.#............#..#.........#...#.#....#.###.#..#......###.##...##.###..##.....#....####.#...#.#####.#.#####.#...#...#.#.#....####....##.##.#.##########..##########....#.###.##.#.###...#.........###.#.#.###.#.....######......#...##.###.....#.######.##.##.###########..#....####....#.#...###.#####....#######.##...##.####.##........#.........##...#.######.###..#.#########..######........#.......########.##.###.##.##.#...#.#.#.#.##.#.....#####..##.#....###.##.####.##..##.##...#.........##.######...##.#
######.#######.#####...####.#..#.......######..#..##.....##.###.##.#....#.##########.##...##..##.#.##.##.##.###.##.#########.##.##.####...#.#.##.##.##.##......#......#######.#.##.#..#.#####...##............###.#.#.....####.###..##....#....#.##..##.##.#.#.##.#.#.####..####....#.###.#.#####.#..##.#.#####.#.######.##..##.#.##################..###########.#.#.##.##.#####....###.####.#.###.##....#.###......#..#.#..#.......#.#.#.##.#######.#..#.....#.############........####.#..#.#.#.####.#.#####......##.#...#...###.#.#............#.#.#.#.##.#..####.##......#......##.....#...#.#.##.##......##.#..#.#
#..#.#.#.#####.#.########...##.#####.#.#...###...#########...#####.#.######.#.#.##....##.####.........##.#..######.######........#.#.####...#....#####..########.###.##.#.#######..##....##.###.######.#.##.#...#.#######......#.########...##....#.##.........##.#.######.##....##...#.#.####.#..##.######.....######....##..###.#####.#..##..##.###.#....##.............###.######.############...###.#.###.#########.#.##.#.####.##.###.#####........######.#.#.##.#...##..########..#...##.#.###.#..#.##..######.#..##.#######..#######.###.#.######........##.##########...##.#....#.#.#.###.####.###.#####..####.#
##.............#.#.##.#.#.#.....#....#.###.#.#####.#.......#..##...#.###...........#.##.....##.#.##.#..######.##.###......####.#.......####.####.#.#...###.#.....#......#.#..#.###.###.#...............####.###....#.####.#.##.....#.##...#..##.#...#..#.###.#.#............####..###.#...###....#####.#.####.###....####.######..#.....##.###........####..############.####............##.###...#.#.###.##...###.#....#.##.#.#....#..##...##.###.#.#.##.###....#.##.#.###..##....####.###.#..#####.##.#####.##.....##.##.#.##....###.##...##..###...#######.#....#.##.###...#.#..#.#.##.###.#...##....##.....##....#.#
##.#.#.##.#.##.#.#.#..#.#######.#.#.####.....###.....###.#.##..##.####.########.##.#..##.#######.##.#.##.............##.#.##...#.#.###.#.#.......#.###..#..#####.#.####.#.##........#####.#.####.#.###.#..#.######......########.#.#..#########.###...##.#...#...#.#.#.##.#########.#.#.#.....##..##.......#########........###..####.#..#.#.####.###.#####.##............#.###.##.####.###.#.#####.#..##..###.#.#...#.##.#..#####.###.##.###...####.###......##.........#########....#.....##.##.......##....####.#.#..####..###.##......#.#########...#.....#.##....#.....#.#.#.####..########.####.#.##.#.####.#.##.#
#..#.#.#######...#.##.#.##.##.#.############...#####.###########..#....#........#######...#.#.##.##.########.##.##.#..###..##.########.....#.#.#....###.##..##...#.#....#.##.##.#.#.#.....#.#....########.###......#.##..#.#..####.##.##.#.##.#...##.#####.#.##.##.#.#.##.##...##...#.####.#.####.####.###...#..###..###.##.....##.#####...#.#..###.#..........##.#.###.#.......#..#.....#....##.#####..######.....#.#..########.#.##..##.#...#..################.#.###.##.###.....##...#.#.##..##.#.#.###.##...#..#.####.##.##.########.####.###.#...#...###########...#.#.#.#.#.#....##....#.#.##.###.##.###....###..#
##.#.###.......#.................##..#.#.###.#..##.###....##.#########.#####.#.##.......#.#.......#.###......#..#..####...##..##.......##.##.####.#........############....############.########.##.......#...#.#.######.#.##.#.#.....##........####.##....###..##.#.#.#...###.#..#....#.#.###.##.#....#...#...##.######..#####.#....#.###.#.##..#....####.#.#.##.########.#.##.##.##.##...##.....##.#.##..#.####.#####.#..###.#...###..#.######...###............#.###........##.##..#.#.#.#..###.#.#.#.######...####.##..#.#............###...#...##########.#......#.###.###.######.#..##.....##.##...#.####.#..##.##
##########.#.#.##.#.##.##.#.##.#..##.......#.##.....#####.##....#..#.#.......#.###.###.#######.#.####.#####.#########.##.####.######.#########....#.#.##.#..#.#.####....#####.##.#.##....##......###.####...#.#####.#.........#.#####....#.#.#.###....######...##..#.#.#.#.#.....###.#.....#......##.#######.#....##.....##.....#.##...#.....###...#.##....#.#.#..#........#.#..##########.######.......##.#..#.#.#.######.......#.#.##.#####..#.#...############.#.#...##.#.###...##.#.###.##.#...#####.##.#####..##...##.....#####.######.###.##.##............####.#.#...##..#......#######.###.....#.#....###.##...#
#.#.##.####################.##.##..#######.#######.##..#.....##.##.#...#####.###.#.###.##......###.#...#.####.....##...####.###.##...#..#########.#########.#.#..#.####...#.#.#....#..#.##..#.#.##...#....######......#.#####...#.....##.#.#####.###.##.#....#.##.############.###.####.#.##.##.#.##.#.......#.##..#####..###.#.#.####.#.#.#...#####.####.##.####.##.#.##.##.##.#.#..#.##...######.####.##.##.....#..##..###.###.#...######.##.#####.#.#######.#..#.###.#..#######..###..##.#..#.#####............##..#.#..######.#######..........####.##.#.#.###....#.#.#..##.#.#.######.#.....##.##.#.##.###....###.#
#...#..#..#..##.##...###.##.######..#####...#.#.....##.#.#.###.....###.#.....#...###....######.##....#.....#..#.#..###.##..........#.##.#.##.##.####....#.#.#.##.#.#.####.#.#.####.##.#..#.####.#########.#......##.#.#####.###.#####.##.###......##.##...#.####...##.#.#.##.#####......#.#..#..#.##########.#.###.##....##...#.#.#......#.#.#.......#.#####...#########..#######.##......###......##.........#.#.##..##.#.###...##.##......#...##.....#.........######.##.##......###..##..#.######.#####.####.#..##.#...###.##........####.#.##.##.....###.#.##..##.#####.##..#####.##.....########..#.##...##.#...#.#
###.##.##...##.....###...####.#####.....##.##.###.#..#.########.##.#########.###.########.#.##.##.########...##.##...#..##.######.##.#....##.......####.....#.##...#........#.#.##.##.#.#####...#.###.#.###.#.#.########.........##.#..######.#.#.....#.###..##..###....#.#...#....###.##.##.##.###...##.....#.#......##.###.##.#.##.#.#.#.#.#.###.#.#.......###.##.#.#####.##.##..###.##.##..#.##.#..#.##.##.#.#.###......####.##..####.##...#....#.#...##.##.#.##.....######.#.####..########.#....##....#....#########.##.....##.#.#...##.#.##.#..#.###...#..##..#####....#####.#.....#.#...##..###.######..#.##.##.#
##...#.####..#####...#.#..##...##.#####....##..#####.#.#####.#####.#.##.###..##....###.......#######.......#.#######...#####......#######..#######...######...####.####.###...........#####...#.#...........#.#.#..#.#...###.###......##......####.#########.###..#####...###.#######...###...#######.#..#.#.######.#..###.#.##.####.#.#.#.###.#...#####.#.#.#...........#...#.#..##.########.#.##.##.#..###..#####.##.#.#.......##.#....###.###.#.#.###..###..#..###.#.#......#.#....##..........##....#.########..##.#...#.#.##########....#..####.#.#...#.##..##..##...#.##.......#.#.###.#..##..##....##..##..#..#.#
#..#...#.#..##.....######.###.##...#.#####.###.#.#.....#.#.#.#.......#......##..##.#.#######..#.##.#####.###..##.#.###.##.###.#.###.#.#.##.#.#######........#..##........##.###.###.#..#.#..######.#.#####.#######.....###...##..##.#.###.###.###...##.##.####.####.....#.............#########...#.....######..#.####.##....#..##...###.#.#...######..#.######.########.###.#.##..........##########.####...##........####.##.#.#####.#..#####..#.#.#...##...##.##...#.#.#.#.#####.###..#.#####.######.#.##.....#.##....#.###....##......#.##.##..#.####.##.#######.#..###.#..##.##.#.###...#.####....##..##.##.#######
######.#.##..#####.#.##...#.#.####...#.###.......#####.#.#.#.#######...##.#.######.........##.#.##..##.#####.##.....#...#.#.#.###...#............##..##.#.####..#######.##....###...#.##...###.#.###########.#.#.####.##...#.###.#..#.#...#...#.##.##.....#.##..#####.#.###.#.##.###.##.#.......#...#.#..##.###.#.#.....#.#.#####..#.#...#####.##...##...#......#..##.##.###......#.###.##...####.#......##.####.##.#.##....#..#.#.....####.#...##.#.########..######.#####.###.#.######.###.#####......#.##.#.#......#.##.#...#.########.#.##.###.####.###.....#.#..##..##.#.######.#..###.##.#....#.####.##..#......##
#.#....#.##.##.##..#..###.#...#.####.......#.###.#.##.........#.##.##########.##.#######.#....#.##.##......######.#...#.#.#.#######...##.#.#.#.#..##########.##...#####..##.###...###..##.##.....##.#.....#......###...###.#..#####.###########....##.#.#....##.#.....####..#.##.#...##.##.##.#.##.####.###.......###.###.###.###.######.##..######....#.#####.###.#...#.#.###.#.####...#..#..#.....#.#.###.##.###..#.###.####.#.#.#.#.#......#..#.#######.#..##...##...##..#............#.....#######.##..#########.##.#..########.#.#...#.####....##..####.####.######..#.####.#...##.#...#######.#....#..##.##.#.#..#
#.####.#.#...#.###.#.##.....###..#####.##.####........#.##.##...#...##...#........####.######....#.#######.####.###.#.#.#.#.###.####.############...##.#.#.#..##.##.....##...##.#.#...#########.##..#####...##.#.#.#.#..##.#.##.######.#.#.###..##..###.####.#....##.##..##.###..###.##....####.##.#....#...#.#.#.......#.#.....###.#.#...##.#...#..##.####.####.....#.........###.###.##.###...#####.####..##..#######.#.##...#.###########.###.#####.......#####....#.#..#####.##.###.##.#.#...#......#####.####....###.###.#.#.#.#.#.#.###.#####....##.....##....#.#..######....#..###.###.......#.##.####...#.#.#.##
#.#..#...###...#......#####..#..##.###.#######.###.############.###..###.######.#.......#.....##.#.#...#.....#..#...#.#.....#.#.#..###....#.#.#.###.#........##.....#.#.####.##.###.#.#..........##.#.....#..###...#.#.##..#.#...#.##......#...##..#######.....##.#...##..######.##..#..####.##.####.##.#########.##.#.########..#......###..###...######.....#####.###.#.##.#.#........###.######.......#.####...##.#....###.#######.##.....#.#.#.....##.####.###.##.#.####.###################...##.####.....#...#.####.##............#..##.......##..##.##..##.#...####.##.#######...###########.#..#...###.####.#..#
#.##.###.#####.####.###.#.##...##....#.#.#.#.########............###.......###..###.###.####.###.#.###.#####.##.###.####.#.##...##.######.#...........######.#..#.#.#.#..#####..##..#.#.##.#####......#.######...#...###..######......####...#..#.##.......##.######.####..##....###.##.##......#....####.........#..#..##.##.##...#.#.##.##..####.#.##...###.......#.###.#..###.#.#.#.###...###.####.#.##..#.###.#....#.##.######.#...#####...#######.##.#........########..#.##.....###.#.#....#######...###.##.##.##...#..#########.##.########.####....##.#######.#.#...#.#...#...####..........#.####..##...##.#.##
#...................#.#...###.##..##.###......#...#.##.#####.#.#...##.#.##...#####..#...######.....#......#......##.#..#.#..###.##..........###.##.#.##........##.#.#.####...#.###.#######.#.....#########.#...#########.###..#####.#.#....#.##.#.###.#.#.###.#..##..#....##..####...#..####.##.######.######.##.###.#.##........#.#####...##.#.##.#.######...###.#.#.##..##..##.#######.#.#...#.###..#.#####.#...##.#.#.#..##.#.#.###.#.....#.###.###.##.##.###.#..##.#..##...######.#.#.#.#.##.##..#.#######.#...#####.##.######.##..##.##.........###.######.##..#.#...#.....#...#.##...##.####.##....##.##.###..####
#####.#.#####.#####.#.###.#.#....##..##..##.#...#....####....####.#####.#..#.....######....##..###...#.##.##.###.#..##...##..##.#..#.##.##.##...#########.#.#.#####.#######.####.######....###.#######.#.....####.###....#.##.......########.##.#.#...###.##..##.##.#####....##....#.#.##....##.#...##.........###.############.#####.####.#....####.#.##########.#....##.#..########.##.#####.......##..##.#.##.##########.#.......##.##.#.##.#........######...##.#..##....#...##.......#.#..#####.............####.#######.........##..#..#.#.##.##.#.#...##.###.#.#########.###.#..###.##.##....##.#.##.##.#.#####.#
#####.#####...#...............######....######.#####.##.#######......##.#.######..######.#....###..###.#.....##....#########.#....####..##.#..#.#.#.#.....#.#.#.....#........##..##.#.##.#####.#.........#.#.#........##.#.#..#.#.#..#.#.....##.#.######..###.#.....#.....#.##..############..#####..###########....#.##.##.....#.##.........##..##.......##......#.##.##.##.#..##.#.....########.##.##.##........#.##..##....#.#.#.......#.#########.#.#....#########.#..#.###.####.##.#.....####.######.##.#.#.#..#.#.#.#########.#.#..##.##########...###.....#....####.##...#...#.##....#####.#.##.#.##.#.....##...#
#.....##....#.#.#.#.#.##.###.###.....#####.#.###.###..#.#####.####.#....###.##.##.#.#.#..#.##.##..#######.##.##.#.###.###......#.##....##########.....#.#.#.#.#######.##.#.#..##.#..#.#####....##.#.##.#.#######.#.#.##..#...#########.#.#.#..######.#...##.####.#.####.###.###.###..........###.##.##.#.##########.#.....####.##..########.####..##.#.##.#..#.#.##..#.########....#####.#.#......#..##..##.###.#.#..##....#.##.####.#.##.#.#.........#####.#####..###...####.#.......####.#.###......#.#.##.###.##.................####.#..#...#.###..#.#...###...##.........#.###.#..###.##...###.##.######.#.#....#.#
#.#.#..###.####.#####.##.#.....###.#..##...#.#.......##..........####.####..............####..#..##.......##.##.####......##.#.#.########.........#.#.###.#.#####.######.#.##..#.##...#.#.####.######..#.###...############.##.#.........#######.#.#.#####...#.######....##..####.###.########...##.#..........#......###......###.##.#.......###....#.##...##.#.#..####.##.#.##.#.........####.#.#.####.########.##..#.##.#..###..###..#.######.#.##.#.........##..#..#.##.....#.##.##....####..#.##......###...##.#.#.#.####.#.##...#########.......#####.######..#######.###..##.#.##...##.#.....##.######.#.#.#.####
#.#.#.######.#####....#####.#.##...##.##.#...#######.##.#.####.#########.###.##.###.###..#######..#######.#..####..####.#.##.#.###.####.###################.#............#..##...###.##.#....###.##...##.#.#.#......#...#.###....#.#####.#.........#...#####........###.##..##.....#####.......#....####.##.##...#.#.#######.###...#....#.#####...#.##############.##.#.......####.######.##....#.#...##.#....#....##.############.....#####.#.###.#..#########..##...##..#.#####.##..##.#.#....######.##.##...#.#..###.#.#....#..##.##.##.#.#..#.###.#.....#......##........##.##..#.###.######.##.##...##...#.#.#....#
###.#.#..........####...#.###.####..####.###..........#####....#.#.#.#...#.###########..##.##....####.#...##.#.###.##...######.#..........######............########.#.#.#.##..#......#.####.##...########.#.######.###.......##.###.....#.#.#.###.###.#.######.#.#.###.##.##..###.......#.########.##...##.###.#######.##########...##.###...###.######.#.####.#####.#.#.###.#.#..######....##.#.#.#.#..####...##..#..##.##.....#####..##.....###.##.###.#...#.##..#..##.#.#.....#############..###....#####.##.##.#...###.##.#.##..#..##...##.#..##.#.#.#.##.#.#.####.##.#.##..##.#..##.##...#.##.##.#####.###########
#...#.##########.#....#.#..####....##..############.#..#..####...#.#.###.#.###.#.......##...#######.#.###.####.....#######..#..#.#.#.####......###.###.##.###........#.#.#.#####.##.#.........###.#.###....########...#########..##..#.#.#.#.#####...........##.#.#.....##..#####..#.#.#.#.#...........#..###.#######.#.#...#...#..#.#....##.###..##.#.#....##..........###.......##......##.##.###.#.#.###.#######.##.#.....#.#.......####.##.....####...###....#.###.#..#####.#.#.###...#.######.##.###..#..##.#..#.#..#####.#..##.##....#..###.##..#.#.######.#.#.#######..#.##..#.########...##..#....##..........##
###.####...........##.#.##...#########.###.####..#####...##.####.#.......#.......#.###.####.#.#.#.#.#.....#....###....#..##...##.########.##.#..#####..##.###.##.##.##.#.###.....##.######.##...#.#.#.####.##.......#...........########.#.#.##....#.#.#####....#.##.##..#.####.##.#.#.############.#####.##.....#.#......#...#...##.##.####.##..##....####.#####.##.#.###..#.##.########.#..#...##.#.###......#.........##.#######.##..##..###.##.#.####.######....#####.##.####.#...###.............####...##..##.###.##.#...#.########.###.....###.#####...######.........##.###.#.#......###..#.##.##.#..###.##.#..#
#...#....##.#.##.#.#..#.#..#......##.#.#......##.#.#.###.#.........#.#.#...#.#.#.####..#......#.#.....#.########.####.##..##########....#######.#.#.##.####...##.#...###########..#############........##.....#.#.#.#.#.#.#.#.#.##.......#.######.##.#####...#.####..#..#####......######.#.###.....##....####.#...##.#.#.##.###.########....###..##.#............######...##.#..#........##.##.##############.#.#.##.##.####.#......##..##.#....###.........##..##...##..#.......###.....###.###.#.#.#..###..##..####..#....#.######......###.##...####.##.#.....#..#.#.##.##...##.####.#.#.....##..#..#.##...#.##.#.##
###.##.####.#.##.#.##.#######.#.#..#.#.####.#.##...........##.##.#.#.#.##.####.#.#....###.#.#...##.##.#.#..###...#.......##........####....##...........#####.#########.##.#####.##......##.#...#.#.##....###.###.###.#.###########.##.#.#.######.#..#...###.#..##..##.##.##..#.##.##.##........###.###.#..##..###....########.#.##.##.#####.....#######.#.#.#.####......#.########.##.##.##.##.#....##..........#..######.#....##.########.#.#.##...##.##.#....##..#.##.###.#.####...###.###.#...#####.#####..#.###.##.##.###....##..###.##...#..#.##....#######...####.#..#..#..###....#.###.#.##.##.##.##.###.##.#..#
##..##.#....#.##.#.##.#.......#.##...#......#....#######.#.#..##.#######...##..################....##.####.#.###.####.##.#####.#.#......##....####.#.#.##..####..................#######......#.#.#####.#.#...#...#...#.#....#.##.##########.##...######.....#.#######.##....####..#.....##.#.#.##..#.####.#########.###.##.#....#........##.#.#..##.....###############.###.##.##..##.#..##########.#########.#.#.##........##.####...#..##########.########.#.##.##.####...#.#....#.##..#...######..........####...#######...#.####.#...#..#.##.###..##.##.##...#.##...##.####.#######.###...#..#.##.##..#.#####..#.##
#..###.#.##.####.#..##############.#...#.#.####.##.......#.########.#.################.#.#.#.#..#.#####........#......#....###########.##..#.###...#.#..##...####.#.#.#.#.##.#.###.......####.#.#..##.###.###.######.##.##.#.......##.##..#.....####.....#####...##.....##.#..##..##.##.##..#.#.###...##.###.........##.......#.###.#.#.#....#.##..###.####..............##........######..###.#.###.#.........#.#####.##########..###...###.#.#.#.#.#.#......#.#..##....##.##.##.#.#####.#.#.#......##.##.#.##.####.#.##.#..#.#..##..##.##.##.#....##.#........#.#.####..#.##...#.........##.##.####..#..##.....##.#..#
##.##..#.#..##...##.#......#.......##.######.#..####.##.##.#........#..##...###..#.........#.######.#######.##...##.#.####.#..#.#......###.###...#.#.####..#......#####.###..######.##.###....#.##.#...####...#.......#..######.##.#...##...##.##..##.#.###....######.###..#.####.#..##.##.######.##.##...#..#.#.##.####.#.##.#######.####.#.########..#....##.####.####..#######.##......##.....#.#.##.##.###.#####.###.#.##.###.##.###.#.#.#.......#...##.#.#.##..###.##..#...#####.....#.#####.#.###.#..###..#.#....#....##.######.##.#...####.######.##.#####.###....##.####.##.##.#.######.....####.####.#####.#.##
#..##.#####.##.#.#########...#.#.#.####......##.#....#..###########.#.####.##.##.#####.###.#.#.#.#..#.......#..#..###.#......##...#.##.#.#####.###.#.##.####.###.###.#######.#......#....##.#.###..#.#...###.###.####.#.##......#....#####.#######....###.####.##......#######.#..##..###########.#######...#########....####....#.#..#....#.#.....#..###.###..#....#....######....######.#..###......######....##.........#.......#.#...#...##.###.###.##..#.#.###.###..#####.###.####.######....#.##..##.####...####...##.#......####..##.##.....##.#..######.....###.###.#.##.##.#..#..##....##.##....##.......#.#..#
#.#####.#.####.#.#.##......#########.#######.#######.#.##.....#####.#.#............#####.........##.############.#########.#....#.######.......#...#.##..##########...###....#.###.###.#.####.##..######.....#...#.#########.#####.#..#.#####.#..####.###.#.....###.#.##.........########.#.#.#.#.#.#.#...###.#.#.######.#....####.##.####.#.#.###.##.#.####..##.####.##.#....##.#.#...##.##.#...##.#.....####.##..#.#####...#.###.#.###.###.#....#.#.####.####.#.....######...#........#......########..###....#..#.#.#.#..##.#.#.#....##...###.###....##.#....#.#..##.##..#....#####.##..####..#.##.#.####.###.#####.#
####.#.....#.#####.##########.##..##..#.......##.#...#.######.#.......##########.###.##..##.##.#....##.##.##.##..##.##.....##.#.#.###.#..#.#.#.#.#.#.###.#.##..###..###.#.##.#.#...##..#.#.##.##.##......#########.#.#####.#####.#.##...#.#...##......#.....###.###.#.###.#.####.#.#....................#.#.......#..########.####.....##..#####......#.##.##..#####...######.########.#####.#.#.########......#######.#####.###...#.#.#.##....#.####..#.....######.#...##...########.#.#########..#..####...#.###.....#.#.###.########.#..############.#....#.##.#.#######.###.##......####....#######..##....#...#.###
##.#.#####.#.##.....##.........##.###.#######.##.###.#.#......######.####...#.....#..#..###########.#..#......####...###.#.##.#####.....######.#.#.###.#......##.##..#....##.####.####.#.#....##.#####.####.#.###.....#.#...#.......##.##.###.####.##.####.######...#..##.########.#.######.#.##.#.#.##.#.#######.#.##.#......#....#.#####..#.#..####.#.......####.######.....#.#.##....###..#####.#.###########...............###..........##.#....##...#.###.#.#..#.#..#######......#.####..#.##...###.########..#.#.###.#......##....#.####.###.##...##.#####..#....##...#...####.#.##....##...##....####.#######.###
#.....#.##.#..#####..#########.#......#.#.#...##...##########.##.....##.###.#####.##...########.....##...##.#..#####.#####.#####.###.#.#########.###.....####.##.###.###.######.#..#.#.#.#.#.#####.#...##.........###.#.###...#.#.#.##.............#####...##.....#.#.##..##.........#......###..######.#.###.......#..######.##.#######.##.#.####....####.#.##....####.#####...#.###.###.######............#.############.###########.#.#.##..#############.#.#...##.######...######.###..##......#..........#.######.#...###.####..##.#.#....#.#.#..#.#####.###.##.#########.##.##.#..####.#..#..##.#..##...#.##.#...#
###.#.#....#.###....##.##......###.##.......#..#.#####........#..#.#.........####.##.###.##.##..###....#..####.........#####......######.#.#..##########.#............##.#.###....##...###.#.#..#..##.##############....###.#########..#.##.#####.##.....#..##.##.###.#######.##.#.#.###.#.##...###.....#.#...#.#.#.##...#.....####.#..#.####.######.##....#.#####.#..#.##.####.#.#.#.###.#.#..######.#.#.#....#.##.######.#...#.##..#.#.#.#####..........##.#.###..######.###...##...####....#.#.###.##.#.##....##.#..###.#....####.#########.......##.#..........###.........#.....#.##....#.##.##..##..#.#........###
#####.##.#...#.##.#..#..######...#####.###.###.#..##.####.###.##.#.#.#.#.##.##.....####........##...##.#.##....###.#.#.....######.#.#.#......##.##..##.#.#####.#.#.##..###.#...#.##..#.##..####...#####.#.######.....##.#.####.#.#.###.#.#######..##.###.#.######.##..#..##...#################.##..##.########.###..###.####.##....##.....##.#......#####.#.#..##.##.#.#.............#.#.#.#.##.#....#.#.##.#....#.#......#.#...###...#.#..###########.#..........###...#.##..#....#.#.#######.###.#.##.###..##....##.########...####.#.......##.#.########.#.#.#...###.##.#.###.#.#######.##.##..##.##.##.##.#.#.#...#
#.##...#.#.#....####.##..#.....#..#.########.#.##.##.#.#..###..#.#.#######.....#.#....####.#.######..###########...######.##............#.##....###....####.########..####...###.##.############.###...........###.####................#.#.......###.##..#.##.....##.###.######.#.####...##.#...##.##.....###...####...#......#####.#..##.##....##.#.#.....####...........#########.#..............#.######..####.....##.#.#####.....#.###.##..##..#....##.#.##.##.##..#...#..#########.#.#########....######..####....#........#..##..##########.#..##......#.#.#.###....#########.#.......##..##..#.#...#.#..#.####.##
#..##.######.#####.#..##.#####.##.#.#.##.###...##.#..#.####.#.#######.#....##########.###..#.#......###.##.#.....#.#.........###.####.#######.#...####..##....#.#.###..#...#.##..####.##.###.#.#.#.###########...####...####.#.##.##.###.##.#.#.##....##.#.###.##.####...#.##......#.##.##....#.#..#..#####.##.##..###...#.#.##..#....##.....##.##.###.#.#.#..#####.#.#####.........##.#.##.#.#.##.#.#...###.#....##.########.###.#.##.#######.###.###.##..#..#.#..###.###.####.#.##.#.........##...######.#..########.#######.##.####.###..###.######..##.#.#.#.#.####.###..#.#....#.##.##.##.###.#####.####.##..#.####
#.##..#.#.##.##.#..##.#...#....#....#..#.#.###..#.##...#.#....#.#.#...######..#.##......########.#.###...#.####.#######.#.#.##...#....#.......###.##.##....##......###...#.#####..##...#.........#.#.##.#..####.##....#.##...######..###.##.#.#.##.#.###.#.#...#.....###.#.#######....#.#####.#.#.########...#####.....###.#.###...##..##.##.##.#############.......#.#.....#####.######.##.#.##########.....####..###.#.......####.##...##.#...#...##..####.#######.#####.............##.##.#..###..###.#.#####..##...#.....#..####.......##......####.##.###.#.###.....###.#...##.#.#..##.#..#.#..##....###.###......#
#..##.#.#.##.##.#.###.###.####.####.##.#.#.#.##...##.###.####.#.#.###.#..####....#####.##.#.##...###.###...##.####......#.#..######.#.###########....#..##.##.##.#.....#.#.##..##.####.#########...#.##.##.......###.######.####.#####....#.#.#.#######..#####.##.#.##......#.##...##....#.####.#.##.......#.##.#..#.#.#####.#...###..###########.##.##.#.#.#########.####.##.....##......######.##.#.###.##.#....##.....#.#.#.......##.##....#...#....##....##..#....##.#######.##.#######..##.....##.....#.##..#######.###.####..#.#####..######.#.#..##.##..####..#.#.#...###.##.###.######...##.#..##...###...#.####
##................#.#.#.#.##.####...##.#.#...####.....#..#......#.#...#.##.#####...##........#######.##..#....##.#####.#######.######.##..##.##.####...###..###..#.###.#.#..##....#..............#.......######.##.###.#....##.........#.####.###.#...##.#......######.#.##...#..#.#..##........############..#.##.#.###.#######.#...###.#..#.#...........#.#.#.......##...###.#.######.#..##...........###########..#.#.########.#.##...##.#.#####.#.######..##.###.##..###.....##.###..#######.##.##.#.#...###..##.###.#...##.##.####.###............#######.#....########.##..#####..##.#.#.#..#.#####.#######.#....#
#..#.######.#.#.#...#.#.......#.###......###.#.##.###.##.######.....#.#.##.#.....#....##.##.###.##.#..######.###..###..#.#.#.#.#.#.##.###.#..........###...###..##.#...#.##..###########.#.#.#.#.######.##.............###.####.#.#.#.##....#####...#..#######.###.#.########...##.##.###.#.#.#.##.#...#.####......#.###.#.###...###.#...##.#.#########.#.#.#.####.#.####.##.#####.#....##..##.#.#.##.#.....#.########.#.##.......#.###.##..###.....#..##....###.#....#.##.#####.#..#...##.......#..#..###.#...##..#.#.#####.##.#...#.#...#.#.#.##.##.##.......##.#..##.#.......##.#...###.....##.#.#..........####.#.##
##.#.#......#.#.###...#######....#######..........#......###....#####...#..###.#.##.#.####..##.......##.#.##...##...##.#..............#.....###.##.#.##..#.#.##.##.#.#.#.##.##...........#####.######.#.#..#.#.#.#####.#.#..#.#######.#..#.##.....#.##..##.#####.....##.##.##.###..#..#.#########..###......##.#.#.#.#.........#########......##...#.####.#........####.###........####.###.#..###.#..#.###............######.#.#.###....#.#######.#####..#.##...####......#.##########..##.#.##.##.##.#######.###......##......###.#.###...###.##.##..###.#.#.#..#####.####.#.##....#.#...#.#..#.#.#.#.##.#.#...##.#..#
#######.##.##.#...###.......####.#.#...#########.###.#.#...############...########..#.#.###.#..##.##.........######.####.#.#.#.#.##.#####.###...#..#.###.#.#..#.##.###.#..###..#.#.########.#..###......#.##########.......##.##.##...##.#..##.#.######......######.##......###########....#.#.###.....##.#....########.##.###.#.........##.#....#...#.#....##.###.#..#.##..###.##........#.#.###############.#.##.##.##....###.###...#.####.......#.####.######.##...#.##.....#..##.###.##.#..######..#.........######.#######.#.#.....#.#..#########...###.#.##.#......###.######.##.##.##.##.###.#.#.##.###.#########
#.......##.########...##.##..........#..##........########..........#####.#..##.#####.#.......#########.####..##....#.########.#.##.#......###########.######...##.#...#.##...##.#.#....##....##...##.#....##.#.#....#.#.#.#..##....#.##.#######.#.#.###.##.##.#..#.#######.##......#...##.........######.##.####.##....##...#####.#.#.#.#..##.#.###.....#.##..###.##...##.######..#.##.#.######.##.#..#......#######.#####.....#...#.#..#########.#......#......#############.##..#.#.#.#######......###.##.###............##......#.#...##....##.....#.#...#######.#.#......#.#...##.#..##.##..####.#.#...##.......###
#.#.#.#.#.....##....#.#...##.###.#.#.##....#.#.##...#.#....#.##.#.#.#.###.#.##...#.######.#.#.#.##.#....#....######.....#.#.#..#.##.##.#.#.#.##.....##.###....########.######..########....##.####.####.#.##....####.#.#.#.##....####.#.....#.#..#....####...#.##.#.#.##.....######.###.#####.#########.####.##......#.#######.....#####.##..###.#...#####..##.#...####.#..#......####..#.##........##...#.######.#.###.####.#.###.#####.#.....###.#.#.#########.#.#.#.#.##....###........##.#.########.####.#...#.#.#.#.##....#.##.###.#..#.##.#..#.#.########.#########.###...#.#..###.##...##....###.##.##..#.###...#
###.###.##.##.##.##.#####.##.#######.##.##.#.####.#.#...###########.#.#........#.....##########.#..#.##.##.#..#.#...#.#...#...##.##.##.#.###.#..#.#..#.#.####..#.##.##..##....###.##....##.##.#.....#####.#..##..##..#.#.#####.#.#....##.##.#...##.##......#....#........###..##.##.#.###.###.######..........###.##.#..##.....######.######.###.###.##....##..##.##.#....######.##.###.#.##.#.####.###.#####........##.#.######......##.#.###.....###.###................####.#.####.#.#...............##.#####.#.#########.######..##.##.#.############.....#...#.#.##..###.#.###.####..#.#.###.###...##.###.#...##.##
#...#...##..#..###..#..####..#.......#..#..#.##...#.##########.#.#....########.##.##..#.#..#.##.##...##..####.....#.#####...#.##.##.#..####....#####..........##.#...##..##.#.#......##.#...#########.....######.#..##.#.##....########...#####.########.#.####...########...##...............#......##.##.##.###.##.####..#.#.#.......###.###.##########.####..###....####......#......########........#.....#.##.#........#.####.#.##########.##...###...###.#.#.##.###.........#...#.###.#.##.#.####..........####.##..####......###.##.#...#.##.....#####.###........##...#.##..#....##.#.#.....##.##....#.###..#..#
###.#.###..##.#####.##...#..##.##.#####.##.#.#..#.###......#.......##..........######...##.#.......#.######.##.##.#.##.#..#.#..#.#..#.###.##.###...##.#.#.###.#....#....########.###..###.#..##.##....#.#.#....#...##..#######.#........#########.#......#######.##.....####.#..#.#.#.####.#.###.##.##...####.#...##.###..############.#.#..#...##.###.##.#.#########.##....########.#####.##.###.##.##.#######..####.#.#.#........#.#.###.......##.######.#...###.##############.##.##.##..####.#.#....#.####.###.....##..#######.##...##.#.#.#....###.......##############.##..##.###.###.#####.######..#.##.#...##.##
#######...######.#######...##...###.....##.#.####...######...#####..##.#.#.#.###......#......#.#.#.#.#.........##.#.#....##.#.#####.#.#...####...######.#..##.##.###.#.##.##########.##...#.##.....#.#########...#..####.......##.#.###.##..#.###.#.#.######......#####...##.##########.######.############...#.#..###.####...#.#.###....##.###.#..#.#.......##........##.#.#........###...##.....#..#..##########....#.###.#.###.##.#.#...###.###..##.....#.#.#####.##.##.#.##......#..###.##...#.##.#.####....#####.####.#..#....##.#..#.#.#.#.#.#####.#.##.........####.#..##..###.....#.##.##....##..##.####.#..####
#..#.####..##........##..#.##########.#.#..#.##...####.....#.#.....#####.#.#...#####.###.#.#.#.#.#######.##.#.##..#.#.#.##..#..###..#####.#....#..##....##.#..#####..#.##...#.#.#.....###.#####.######.#.#.#...#.####....#.##.##..#.#....##...#...######.....######...###.#...#########..###....#.###....#..#.#.######......#.........##........##.#.###.###..##.#.##.########.#.##.##.###....###########......######.#.#######...####.##.##...##..#######.#####.##.............####.##..##..###.###..####...#.##...#......##.####.#..##.#.#.#####.##....#.###.#.####........##..#####.#.#####....######.##..##..##..#.#
##........####.#####.#..####.#..#.##..####.#.##.####.###.#.#.###.#.#.....#.#####.#...##..#.###.#.#.......#..#.##.##.######.#####...####.....##.##....##.##.##.#.....#######.......#####....#.####........#.##.##.##...##.#.#...##.####.######...#..#...###.#.#....###.#.#.#.###.#.#.#.#.##.####.#.#.####.####.#.####...#.#.###.######.#..######.#........###########...#.#.#.#.######...###.#.#....###.#..###.##.#.#..###.......#..##...######.######......##.#...###.##.#####.##....###.#..###....##.#....#.######...##.#.........##..#.#.#.##....####.####.#######..#####.####.##....#.....##.#....#.#.##.####..##...#
#####.#.#.#....#..#....##.##.##.#....#############.#.#.#######...###.###.###.......#.###.#.##..#######.#.##.#.##.##.###......####.##....#.####.#..#.##..##.########..##.########.##.....#.##.#....##.#.#......#...##.###.#.##############.####.###.###.##..######..##...........#.#.#.#....#.#....#.#.#.......###....###########.#######.##.......###.##...##..##.###.##.......#......#.....###.##.#...####........##.##..#####.#.#####........#.##.###.##.#....#..#######.#.#####.#..##.#.##...############.#...###.##..##.#.#.#.###.##.#.#######.#....##....#......##........#####.#.##.#.###.#.#.##...##...##.###.#.#
#.###.###########...####......#.#.##.#..##..............#.#.####################.#.#..##.#######...###.#.#..#########.##.##.##.#######.######..##.#..##..#.#...#######..#.#......######.###....##########.#.#.##.###.##..#####.#.#..#...#.#..#####.##...##.#....##.##.##.######.#.#.....##.#.####...#.#####.#.#####.###.#.#.#.#......##...#####.#.#####..#.###.........#####.#.##.#.#.###.#.#...#....#..####.##.##.#..#########.#.#...##.##.#.##......#.#######.##...#.#...........##..#.#####.##.##...##....#.#.....##.##..#.#####...##.#..##..#..###.######.##.###.###.#.#.#.##....#..###.##..#.#.####.#..###....#####
#.#.....#######.#########.###...######.####.#.#.#######.#..................#.....#.#######...#####.....#.#.###.##.##......####..######..###.#####.##.#..######.....####.#.###.#.##......#########...#.#...###.##...#.##.##.......##.###.#.##.##.#...###.#######....#..##.#..........###.##........#.....##..###...###.#...#.#.######.#..#####...#.#.....##..########.####....#..########..####.###.#.##...####..#....##.........#####.#..############.###.#.##...###.#.###.#.#.#######.#.#..####...###....#.#####.#########.####.#..#.##.##..##.##.##..##........#...#...#.#.#.##.#.##.##....##.###..##..##...##.####.##
#...##.##.#.............###.###..#..#...#.#########.#.#.##.##.##.#######.#...#.#.####.#.###.##.#.##.##.#####...##.#..#.#.###.##.#.##...##...#.#....#.##.#.##.#####............#..##.#.###.#.#.#...#.....####..##.#.#..#####.#.##....##.......##.##.##....##...####.##..####.#.#.#.#.##..#..##.##.######....######..#....#......#.#...##.#...###.###.##.##..##.###....##...##.#.###.......##......########.#....####.####.##.###.##..#.####.#.#.#.#....##.......#.#.....#####.####.#.#######.#.###.##.#.##.###.#.#####.#.....##.#.#.##.##..#.##...#######..#.##.#####.###.#####.#..#.##..##.###....##.#..####.##........#
#.#######.#############.##..#.##.##.##.##...###.............###..#.......#.#########....#.#.##......#..#.....#......##.###...##.#.####.#..#.....#.#######.#........#.##.##.##.###########.#.#...#.########...##..#.####.....#######....#####.#..#...###.#####.##......##....###.#.#####.####...###...###.####.#.##.#.##.######.#.###..#####.....###..#.######.....#######..#####.#####.#.##.#######.##......#.###....##..#####...##.#.#.##.#.#...####.#..####.########.#.....##......##.#............########....#....####.##.......####.#######..##..###.#.######...##......#.#.##.#..##....##.####.#.##....####.#.##.#
#..##....................##.#..#.#......##.##.####.######.###...###.#.#.#####.#.##.####......##.#.###.##.######.#.####..####.##.#.#.#########.#.#..###....#.##.##.####...#########.#.#........#.####.......#.#..##..#######.##.#....#####....##.###...#...#.#.###.#.#..##.#######.....###....#######..#####..........########....#.#.###....#.#.#...##.#......###.###.....##...........#.#######.#.....#.##.###.###.###.##...##.##...........###.##.....###.####.........#.#.###.#.#.##.############..#.###.####.####.#.....##.#.#.##....#.#..###..##.....#.#......#.##.##.#####.##.#.####.###.....#.###..##..#######..#
#.######.##.####.####.##.##.##...###.#.###.##.######........#####.#######.#.#.#..#..#######.##############.##...#.##...##.#...#.#.#.#.##.######.####.####...##.#####...####.##.......###.#.#.##.#....#.###.#.#.######..#.##.#....#.####.####........#...#.........####.####.......#############......##.#.#######.##.#........##.........#.####.##.############...#...#.#..##.##.##.#.####.#.......#.###.##.##........######.....##.##.#####........##.###.......######.######.#.###....#.#.##.....##.#......##....#....#.########..##.#...##..###....#.#.####.#.###.##.##...##..#..###....##..###.#..###.###...##....##
#...##...####....#....#......###..####.#.#.##.#..#####.#.##.##.....#.#........##.##.#.##......###...###.#...###.#.##.###....#.#.#.#.#.....#.##..##.#.#.#..#..###.....#.#.......##.##.....###..####.######..###...#####.#..#####.####.........##.##.###.##.#.##.##.#..#.#.####.###.##.##.#.####..##.#......#.#......#####.#.#.####.#.##.#####....##.#..##........#.#.#.###.#####..####.##.....##.#######..##.#..#.#.#.###.#.##.#.##...###.....##.#####..#...#.#.###......#.#......###.##.#.#.####.###....#.##..####.##.#.#...##.....###.##.####.....#.##.#.##...###...#..##.#####.##...####..##..##.##.#.....#.#..####..#
#.#..##.##.#..##.#######.##.##.##.#.#.........##.#.#.###.#..####.#.....##.#.#..........#####.##.###.#.#.###.##..#############...#.#.#####.#..#####.#.#.#.#########.#.#.#.#.###.#########.###.##..####.#.##.####.##...#...###.####.############..####....######.##.##...#.#.########..#....#..############...##################.######..##.#######....#######.#.##.#.#...###.#...##....##.#.#..#####.#.##.#####.#.#####.#.#.#..#.##.###...##.#####.####.##.#########.#.#.#.###.####.###.......#.#.#.####.#..##.#....#..#.##.#######.##...#.#....###.#.##.###..#..####.##.##.....#.###.##....##..#####..#.##.##.########.#
#.#.#####....##..##.##.###......#.#.##.####.#............##..########.################..##.#..#.#............#.###.#...##..####...#..###..##..###..#...#####.#.....#.###########.#..###..#....##..#.#...####.#..####.###.##...###.....#.#########....#.##......##.###.##....##...###.####.#.##.#..##.#.####.#.#.###..#.####.##.#..##..##..#.##.#..##.##...#..#.##.#.##.##.....#..##.#..###.##.#..........#...#####...........##.####...#.#..##..........###.##......#####.#.####....#..##.#.##.#...#########..####...#####.##.......##.######.###..#.##.#...#####.##.##..##.####..######.#.###...########..##........#.#
#.####.###.#####.#......###.###...#.#####...#.##.##.#.##.##.##..#.######...#.##########....##.#.#######.####.###.#...#....##....#.##.#.##....##.##.#.#.##.#..##########.####.....##.#.##.##.#####...###...#..##.#.#.......###.#.#####........#....##.#.###.##.#####...#..##.####......#.....##.##.........#.#.#.#.##.#.#.#.......##..####......##.##..###...##.##.########.#.##.#####.###..#####.##.#.#.####.#############.#.#...##..######.##.####.##.##......#.#####.#....##.####.#.##..#....#.###...#.#.##.######...##...#.###.###..##.....#.##.######.#.#.........##.#.....####.#.##.#..##.#...##.....####.##.#.####
#.##........##.####.###.#.#######...#.....#.#.#..##.#.#..#..###........###...........#####....#.#.##.##.#....##..########....####.##...#####.##....###.##...##..#..###...#.#####......##.#####.#..#.....#...#####.#######..........###.##.##...#.#######.######.###########......####...###.....###.##.##.......#.#......#####.#....###.#.####.##.######..#..########.##...#######.#..#.####.....##.#.#.#....#.#.##.###....####.#######.#.#.#..#....##.####.########...####.....#.#.##########...#.###...............#.###.####.....##..#####.#.....#.##..#.##.##.#.#.##.##.#.##....#.#..##.#..#.#.#..#.#.#.##..#.###.##
#####.####.###..#####.#.#.##......#...#.#.#.######..#.##.####.###.##.#.....#########.#.#.####.#.#.##.####.##.##.##..#.#.#.####.#...###..#.#...####..#...##.####.#.##...#.#.#.#...#.##..###.#.#.#####.######..#.#..###...####.##.##..#########.##.#..#.#..######.#.#.##.##...#.####....#.#...#.#.....#######.###.#.##.#.#.......#.####...###.##.####.##.#.##########...###.##..#......##...######.####.#.##.#........#.####.##.####........#######.#.#...###.#........#..####.##.#.#.##.#.#.#####...#...#.##.##.####.##...#.#.#####.##..###.##.##.##.#....##..######.#######.#######.....##..#.####.#.##.#...###.#......#
#..#####.#.#.##..#.##......#########.##.#.####.####.#.######...####..##.#.###.........................##..#...#.###.....###.#....#.#...##...###.###...###..##...#..##.##.#.#.#########..##.#.#.....###.#.###.#.##.#.###.###########.#.#.......#..##.#.##.#.##.............#.#.#....##.####.##.#.#.#.#.#...#####.#.#######.##.#.########.##......###..#.###.#...##.###.#.#####.#.##.####.#..##....#.##########.#.#.#..............######.#..##.##..####.##...##########.##....#................####.#####..######.##.###.##.#........#.##......#####.##.#..####...##.#####.....#.####.##..##.#...##.#..#.##.##.###.#.#.##
##.#.#.#.###..##......##.#....##......###..##.......###.##.###....##########..#.############.##.#####....####...#.#####.##....#.##...#..###.#....####...##.####...###.#......##.#.##.##.##.#.##.##.##....#.#....#.#.##......#.###...#...#.#.#######.#.##...####.###.#############.######.############.###.##........#..#########........#..####.#.##...##..###.#......#.##.#..######..#.##....#.##.#........#########.##.###.##.###.....##.....##.##...####.##.####.#.....##.##.#.###########.#.##.####..####.#......########.#.#.#.#.##.#.#.##.....##.#####.###......##..#.###......##.##..###.#..#.##.##......#####..#
#.........###..###########.##....###.###..##..#.#.#.#........##.###.#.##.#.######.....############.#..##.#....#.....##...########..#.##.#...#.####.####.#...##..#...########.#..#.#......#....###.....##...####.#.#..######.....###...########.##.#.#.##.#..#...##..#....#.#.#.#####.#.#.###.#...#.##.#....#####.##.#.##.##.###..#.####.##.#....#..##.####.###...####.#..#.##.##..###.#########.##.########.#..#.#.#..##.##...###.#####.#..#.#....###.##.####.......###.####..#####...................#####...###.##...#...######.#.###..#######.#.##...##...######.#######...#####.##...##..##.#.##..#.#..##.####.###.#
###.####.##.##.##..........####.##...##..####.#.##########.#....###...#..#.###..#####.......#.##.#...##..####.#####..###..#.##.#..#####.###.#.#.##......##.###.##.####....##.##.#.######.####.##..##.##..#.##.#.....##.##.#####.#.######.##..#.........####.#######.##.#.....#...##..#...#.#.###........##...#.####.#.##.....#..#####....######.##.#....##...#.#.#....##.#..#....##....##.#.....##.#.#.#....##.#.#.#.#######.####..#######.#.#.##...###.......##.##.....#..#####.###########.#.#.#.##.......#.###.##.#...###.#....######.##.#.####.##.#.####..........#.##..#...##..###.###.###.#.#..########.##.#.#.###
######............#####.##..###.##.#..##..##..#.#..##......#.##.#.###.##.#.#.#.##.#.##.####.#.#....#.##.##....#.....#####.#.##.##.##.............######.##.#.####..#.##.#......................####..#..##.#....###.##..#.#..........#....##.#######.###......##..#.#..#####.###.###.###.#.#.#.#.##.#.#..###....##.....#####...##...####.##.#.#.##.#.####..##########.##.##.####..####.##.########.#.#.####...........#.######....##..##.#.##########...#####..###..##.###...................#.#.#..##.##.###.....####.###.....##..##.####.........##.#.#.##.##.##.#.##....##.#..##.#.....#...#.####....###...........##
#....#.#####.######...#.#####....#.##..######.#.##....###.#####.#.##............#.......##......#.##.#####.##.###.#..#..........##########.###.###.#.##.#..#.##...##..####.#.#.#.##.###.#.#.##.#.######.#....##.##..###.#.##.#.#.###.####.##.#.#.....#.######..##.#.##.#......##..##.#.........###########...##....#.#.#.....######.#.........#.##.#.#.#..##.####.##..#..#..#.###.##.#.#..#..#..............##.###.#.##..##.#####.##.##....##...##.###.###....##########.#####.######.###.#.##.###.########...#.#....#...##.##..##.......########.##..###....#..##.#.#####..#.#.#######.###.###.#....#.##...#.##.##.#..#
####.#####.####.##..#...#.#.####.########.#.#######.########......#..#.###.##.#...##.#########.##.##.#...######.#.##.#.##.#.###.##...###.###...##..#.#..##.#.####....###.#####.############.#.....#.#.#.#.#.##..###..........###.#........#..#.#.#.#....##.##.##..#..######.#..##.##.######.####...#..###..#..##.###.#...#.####.#.....#.#.###...#....#.##.##.#.#..###.##.##...#.#.##...##.##.###.##.#.#.#.#.#..##..#####..#..###..#..##########.##..####.#######..#............#......##..#.##.##..#.....####.#.#.#.######..#####..#.######.......###.#####.###.#..#.....#.##.#.##........#...####.#.#.##.#.#.#...#.#.##
#.....#.....#.#....###.##...#..####..#.#.....####.#####.##.######.##.#..####..###..####.#.####.#...#####.##.#...####.######.###.####.....#####.###.#.##.......#.###.###...##...#.......#.########.#.#.###.#..#.##.#######################.##.#.#######.##..#...##.####......##............#.##.###...##...###..#######.###.##...###.#.#########...##......##.#.##........####.#.#..###.##.##..#####.#.###.#.#.####.######.##.#.##.##.#.#.###.......##.#...##.#.##.#####.#.##.####.###..##.#..########.##..#.#.###.#......##.#.....##.###.#..##.##.#...#.##..#...#.##.##.##.####..##.####.###.###.###.#..#######.###.#..#
#####.#####.....#.######..#.##.##.#.##.#####..#.#.##....#............#.##....##...###.#........##.##..##.#..##.####...##.####.#..#.###.#...##....#......#####.#.#.....###.############.#.#.#...##.#.#.#####.####..........####.##............#...##.#...##.#.###..##.##############.#####....#..###.##..#.#.##.#....#..#...#..#.....#.##.#......#.#####.#.........####.#..###.#.##.#.#.#..###.#.#.##############.#.#.##....#.............#.##.##.#..#...###.............#.######..##..##..##..##.########.......###.#######.#.#.#.##.#.#...#####..#.#.#....####.#.#..##..#....#####.#.....##.#.#.....##...##......#.##.#
#.##..#..#..###.###.#.###.#.....#.#.#...#.#..##.#..####.###.######.#.############.#.....##.#.#.#..###......##...#.##.##...##..##.#.######.##..##...#.#####....#.#.#.#..##..##.##.####....#.#.#...........#####...########.#.....###########.##.###..###........##.#..#.#...##...#.###.#.##.#...##....##.#....#.####...##########.#.####....########.###.##.##.#.###....##............#.##.#.#......#.##..#.#.#.#.###.#####.#########.###.#.########.###.#.###.#.##.####.#.#....####..########.##...#.#..####.#.##......##...#.#.#.#..#...#.##....##.#########...#.##..##.#.##.#...####.#.###...#.#.#..#.######.#.####..#
#.###.##.##########.......#.#.#...#.###...##.#..#.##.#...######....####.##.##.#...###.#..##########.##.###.##.#......####.###.#..#.#.###.....####.####.#.####.#.######.###.#..#.......##.....###.##.####...#.######.......#####..............#.#.##.######.#.#.##.##...###..###....#....######..###.##..#.######.######..........#.#.###.#.#...#.#......##..###.##..##..##.#.##.####...#......#.##....##..........#....##......#.#####......##.##.............#.##.#....#.##.#......###.##.##..#.#.....##....#..###.##.#..###.###.####.#.#..##.#..####.####...#.####.##..#..#####.###..#...##.####.#.##.###.##.#######.#
#..#...#.#.....##.######.##.#####.#.#.###.##.##.#.##.#.#..##..########..........###...#.##..#...#....###.#.#########.#.##.#.#.##.#.#.#.#####..##..#......##.....##.#....##.##.######.###.###.##..#..##...#...#.##.#######.#.#.#######.######.....#....########.#.....#.....##.####...##..#...##.#....#######..#...#.....#.##########..########.....##.#.#..##....###########.#..#....#...##.#.#####.#....#.##.###.####.#..#.##.....########.......######.#.##.#..####.#.#..####.###.#.........##.###.#..#.#.##.####.####.##...##..#....#.#.##..##.##......##.#####....##.##.##....#.##.#.#.##...##.#..###......##.#.####
##...#.....#.#............###..........#.....#.....#.####.##.##...#....#.#.###.###..#######.###.###.##...............................#.......##..######.##..#.#....####.##.##.##.....##..##########..#.#.###......#.##.#..............###....###.####.....#.##.####.######.##.##.#######.###....###.#####..##...#...##.####.#.##..###.#.#.##.#.#.#.##.######..#.##...........#.###.#.###..#.#.#.....##.#.########.##.#.###########.#.##.....##.##.#......#######.##...####.##...##..#.#.##.#.#####...##...#.#.....#....###..#.##.#####.#.#..##.##.#######....##....##.#...#######...#..#.#.#..#.##.##...####.#.........#
#..#####.#.########.##.###########.###.###.#...###...##...#..####.###.##########.##.#....#..###.#.#..###############.#####.#########...##.#.##..##.#.#.....##.##.#.............###########.#..##....######...#.##.#....####.#.#.##.##.#.##.#.##...####.##.......##..##........#....###.......##......#..##..############.#.....##.#............#.###..###....##..####.#.##.#.#.#...#.#...##.#.#.#.###..#####............###..##.#.......###.##.#..#.###.##........###..#.#.#..#.#..##.#.#..#.##.#..#..##.##.#.#.#.#######..##.#..#.....#.##.#..##.#.......##.###.#..#.#.#.##.##.#.#...##.#.##.#..#.###.##....#.#####.###
#.###....####.......#####....##....###.#.#####.#####..###...##.#...####.####.#....######.##.#.#.....###......#.......##....#.........#.#..#.#..###.....#.#.##.##.############.##.#.###.###.##.####.##.#....######.####......#.###..####..########.#.###########..############...##...###.###########.#.##..##..#.##........###.##.##########.#.######...##.#..##.#....###..#############.##.###.##########.#####.##.#.#...##.##.#####.#.##..##.#.######.#..#####.##...##.#########..########.##...######.##.#.#.#.##..##..##..##.#.#.#.#.####.#########.#..###.###.##.###.#.......##.##..#.#..#.##.#.#..##.#.#....######
####..##.#..##.######.#.####....#.##......#.##.#.####.#.##.###.##.##.##..#.#.####..##.#.....#.#.#.#.....##.#.###.#.#..###.##.#.#####.#.##.#.####.###.#.###.##.#######....##...................#.#####.###.###.##....#..#.#######..##.###.##.#.#...#.#.#.#####.#.##.##.........#..##.##...##.............##.###.#..##.#####.#......#.#........#.##.....#..###.###########..##.............########.....##......###########........#.#..#.###.##.###......#.####...###.##...##.......##.........##.##.#.#...#.#.#.#....####..##.#..#.###.###.#####.#.##...##.#........#...#####.###.#..##.#####.#..###...##..#.#.##...#..#
###..######.########....#########.#..####....###.#.#...........##.##.###.....#.###.##.#####.....####.#######.....#.#############.....#.####.#......###..##..###.......##....####.#########.##.....#....####......##...##.#.......##.............#.....................#######.##.#.....#.#..###.##.#.##..........########..######.#.####.#.#####..##.##.##...##.##.......##..#.#.#.#.#.#.#.##.#######.#..####.#.#.###.....##.#.#.....##.#....########.#.#.#....#..##.####.#..#.#.#..####.#.##..###......#.#.#.#.##.#...##.###.##.###...###............#.#####.##.#.##.#..##...#...##..####....##.##..#.###.#.#..###...##
#...###.#....#.....####....#....#.##########.##..#.####.##.#.#.##.#....#####...#......####..#.###....#.......###.#..###.#..#..####.#####.#..######.....##..##...###.#.#..##.##...#.........######.###.##....####.#..#.####.##.##..#.##.#####.#####.#.#.##.#.##.########.......#####.##.#.##.#...#..#..##.#.#.#.#....##..#####.#.....#.#######.#..##...#.#..###.....##.##..##.#############.#............##..........##########.#.#.#######.#.###.##...#.#########.#..#......####.####.#..#..####...#.##.#.#######..#.#.#....####.#####.#...#.#.#.#.#.##.#.....##.#.##.##.####.###.###.##.####.##..##.###...####.##..#..#
##.##.....##.#####.#######.###.####.#...##...###......###..#.#......#####.####.#.#.#.##..##########.##########...#.##.#.##.##......##......##......#.#..##.##.#.#...#.##..######.#####.###.#......#.#..############.###.##.##########..##....#.....#.#.#########....##..####.##.#.#.####.#..##.###.##.#..#.######.#..##.#.#.#.#####.#.#.#.#.....##..######.#...#.#.#..#..######.##......##.##.##.#.#.#######.#.#.##.##...##.##.###.....##..#.#......#.#.#..####.#######.#.#.#....#......##.###.###.#.#..###..#####.###.##.#.###....#######.#####.#.#.##.####.##..#.##..###.#..#...#......##....##.#...##.#..##...##.#.##
##.#####.###.......#............##....#....#...######.####.#######.##..#...##..#####.###...#.#......##.#.##.######.##.........###.####.#.#.######.##.#.##..##############.#...#####......#####.##.#.#.##.#.#........##...###.#.###.#..####.#.#.##.##.#.#......#####.##########.......##..##.#..#...##.##.#.#......##..............#.#.#.#...#.#.###...##.###########.###.##........####........###.#.####....#.###...###.......##..#.#..########.#.##.####.......##...#.#############.#..###...#...#.##...##..#.#....###..#.#.##.###.......##....########.#####.##.###..##...##.#.###.##.##.#.######.##..#.##..#..###..#
#...######...#####.############.####.##.#.##.#..#.###......##.......##.###.###.##.##.#.###.#.########..........#....##.#####.##...##.#.#####..##..#..#####.#.........#..#####..###..#######.#####............#.####.####..#..#...#...###...#.####.#..####.###........##.....#####.#.##..##..######.##.#..#####.#.##..##.##.##.#.#.....#.#.###.#.#...####..#.##.......#.#######.######.##.##.##.#...#.#..############.#.#####.#.###.#.#.##.....##.#.##.##.###.#.#..###.###########.....#.######...#.#.#..#.###.....##...##.###......##.##.#.###.#..#.#.#.....#.#..#...##..###.#######...#.#..#....##...##.#######.#######
#.###...#..#.#.....##..###.#.....##########..##.......#.#.##..#.#.#.........##.##.....................#.#.#.##...#.#####.....##.#.##...##.###....###.###.####.#.#.##.#.###.###.....######....##.##.#.##.#.#.##.###..#.###.##.###.#####.###.####.###.###.#.#...##.#.#....###.#.#...###..##..##......#..##.###########.####..#######.##.....##..###.#....##....#######...##.#..####........##.#..########...#.#.##.###.........#...#.#.#.######....#.##.#......#.##.........#.#.....#.#.####.#.##########.###.##.##.##.#.#...####.#.######.#.#...####...#####.....##.###..##....###....########.#.###.#..#.##............#
#######...########.###.....#.#.#....#..#.###.##.#.#.#.######.##.#.##.##.###.......####.#########.#.##.###.#.#..#.###.####.#.#####.###.##......#.##.....#.########.#....#....#####.##....####.......#.##.#.#.####.####.#.#......#.###.....####....#..#.....###########.#.#...#.########..##..#########.####.#..#.#.####....##...#...###.##.##.##...#.#.######.######..#.#..#.##..#####.##.#..#######.#.###.#........#.###.##.##.#####.#..######.###..###.##.##############.....#.#.#.###........##.#.##...##.#..#...#.###.###.#######.##..#.#.#.###..#..#....##.###..##.########.##.#..#.#.#...#...#.#.#########.#.#.####
###.##..####...#.#.#.#####.########.##.#.....#..#######.......###.##.#..#...##.#####...#.........#.#..###.####.#####.#....#.##.....##..####.#.#.##.#.###.#.#.#.#######...##.....#####.#....#####.#.##########.##.#......######.....##.##.##.####.##.#.#.####.#.##..########...##.##.##########.........###.##.....#..####.####...###.#.##.#...###.#.#.##............#####....##.#.....##.##.#.............#.####.#...#...##.#......######......#...##...#...##...#........#.#.#############.##.........#....##.#.#.#.##..##...##.#.#....########.#####...##.#....#.##..#...........##.....##.###.##.#...##......#.######
#....#####.###........#.#..##.#..........###.##...##.####.#.#.##..##.##.#.#.#..###...#.##.##.#####.##.#...##.#.#...#.###.##.##.#.########...#.###..#.#...#.#.#.........###..#.#..##.####.#..#..######....#.#...#.######.#.#....#.#######.##.##.#.#########........##.####...#....##..##.##.....###.#.###....#####...##.##.#....#.#......####.##...#.#.#..#.#.###.##..##...#.##..####.#########.#####.####...#....##.####.##.##.######.##..#.#.####..##.###.#####...##.#.###.#.#..#.##.......#..###.###.##.###..#.#.#..##..###........#.##...#.#..#.#.###.##.##.#.#..##.#.###.#.#.#.#..#.###....#..####.##..#.##.#......#
#.######...#.####.#.#.....###...#.###.##.#...#..###.......#.#####.#..###########.###.#.#####.##....######.#....###.......##.#..#.#...#.#..#####...##.###.....#######.###########..#.##.####...###.#.####.#.###...#.#........#.##..##.#.........#.#.###.#.####.###.#...#.###.####.#..##...##.###########..#.###....#....##.##.#.###.###.##..#####.#############...##########....##..####.##.#.###.#.####...#####.##..##....#..#.#.........######.#..######..##.###.#####.#...#.##......##.#.###..##.##..##.#...##.###.####...#####.#.#######.#.##.........##.####.##..#####...#.#.#.##.#..##.#.###..##...####.##.##.#.###
#.#.##.###.#.#..#########.....#.####..#..#.#.##...##.##.#.####.#..####...#.......#####.#.....##.#.##......##.######.###.##..##.#####.....##.....#.##.##..###.##.#.######.###.#.##.#.#...##..#..#...............#.....#.###.######.##.#########......#......######.###.#.#.######.#.##..#.####.#.........##.#.#########.....#.#.#...##...##........##...#..##...#.#.....#######.##.####..##...##....#..################.##.##.####.#.##.#.##..##.####.##...##..#.###.....##.##..##.#.#.##.#.##..##..###..#.###.##..##..#.#######...#..##.#........#.#####.####.....#.##..#..###.#.#.#..#.#####...##..##.##....#...###...#
#.#.#..###.....####..#..#######.#....##.##.#..##.##..#..###......####..#...#####.......####.################.###.######..##.#..##....#.#.#..#.#.#.#..######.........#...........#...###..#####...#####.####.#.###.#.########.#.##..............##.#...####.#.##............#.......#####..##....######.##..#..##.#.....#.#.######.##..#..##.#.#.#..###.##....#.#.##.##....#.......##.##.##.#######.##..###..#..#.###...##..#.###..#.#..#..##............#.###.......#.#.###########.#.####..##.###.#...##.#....#####.##..#.##...#.####....#.#.#.#####.....##..##.######.##.###.#.####.###.#...#.###.##..##.#.##.##...#.#
#.#.#.##.#####.##.##...##.##....####.##.#..##..########.#####.##.#..##.##.#######.##.###....#.##.##.#......###.#.#......##..##.#..##.#.#.##.###.#.#.##..#...#.#####...#.#######...###.#.##.#.##.###############.#.#.#.#..##.......#.#.###.##.#.##########.......#####.#.##...#####..#.###..####.##.....###...##..##.##.###.##.#....##.#.##..###.#.##......##.###.######.#.####.##.##........#.#.#.....##.##.##...#...#.#..##.#...###########.##.#.##.##.###...##.#.######.##.#.#.#..#.#.#..#####.#####.#######.###...###.#.#..#.#.###..##.#.#.#..##.##.#.##..##.....##.....#...###........##.##...#..#.###.#.##..##.##.#
#............#.##....#..#..#######...##.#.#######.#.#...#.....#..##.#######........######.###.#...#...####.........#.#.####..#########.###..#####.#.###.#######.#...#.####....###...............##...##....#....#.###.##....####.##.#####.##.###.##.......##.#######..#.##.#.#...##.#.#.##.##.#..#######...#.###.....#.#...#....##.#..#######...###..#.##.########.#.####......#...#####.##.......#.#..........#...#.#.#.###.###.#.#.##......##.#..######...#.#..###.#.##.#......#.##.#...##......##......##.....###.#.......##.#.#...##..###.#####.##.#.###.####.######.#.#.#..##.#.#.##.##..##.##.##.##..#.##.##...###
######.#####....##.#.##...####.#.##########.###.......#.#.#.#.#####.#.##.####.##.####...#####...#.######.######.#.####...###.###...#...##..##..######.............#.###..####.....##.###.#.####.#..#..####...##...##..########....###.....#..##.....#####.######.....##.####.###.#......##.##.#####....###.#.....#.#.####.#####.##.##..#.#....######.######.##.###.#.#....######.#.....##############.#.##.##.###.####.####....###......#.#.###.######.####.#.##.#..........####....#####..####.#....#.####..##.##########.#.##.#.#.#..########.....#..#...#.#.....##....#.#.#.#####.#..#..####...#.######.#.##..##.####
#......#...###.#######..#..#.#.....##.##......##.#.##.###########.........######.##...#.......#.#....##....##...#..###.###.###...#...#..##..##...#..####.#.#.#.##.######......#.#.##.#...###....#.###......#########.##.#####..#########.########.####.####......###..###.#..#.....####.##.#...#.#..#.##...#.#.#.#.############.##.##.##...##.#...##.#...#..#....#.#.######......###.#................#.##.#..#....##.....##########.#.##.#.##...##..#....###.#..#.#.#.#.######..#.###.###...#####.#.#....##.##..#.#.......#.##.#.#.####........###...###.##.#####.###.#.#.###.##....#.###..##..#.#...#.#..#..##.#.....#
#.#.#.##.#......#.#.#..###.#.####.###..#.####..#.########..#.##.#########.........########.#.#######....##....#.#.##...##......#.##.############...###.#.#####.##.###.#########.#.#####.######.##..####.#.##..###.............##..#.......####..####....#####.####...###..###########......###.#.####....#.#.#.#.#.#...#.#.#....##.#..####..#.###..#####.##...##......##.###.#.#.#...####.######.##.#.###########.####.####...##.....######.#..#.###...##.....##.#.###.###......##.##......###.#...####.####..#.##...#.##.#######.#.##.######.#.##..#...#.##.#######...###.#....##.###.#...####.#.###...##.##.######.###
###############.#.#.#####.......#.....####.##.#####.###.##.......#........####.##..####....#.#.#.##..##.###.###.#####.##..##.#.###...###..#.#.##.#.........#####..#.............#.#.#.####......####....#.###.....#.########.####.######.##..##..#.###.##.##########.#.##.......#.....##.#............##.###.#.#.#.#.#.......##.#####.#....##..###..........#####.#.#........#####.#.#....#.......###..##.##.#.#....##....###....###.#...##.#.##..###.##..##.#######.....######.##..##.#.#.##....#...##....##.#..##.####......#######.........#..##.##.####..#.......#.#...#.#.###..##.##.###...#...###..#.##.#.......##
###..#.##.##........#.#.####.##...###.#.#...#..##.#.....########.####.###.#....###.#..###.##.#......##...##..##.#.....#..##..###...#.#.##........#.###.#.###.....########.##.#.##.#........#.#.##....##.#..####.#####..##....#.........#####..##.#.#...##.#.###......#..#######.#####.##.###.##.#.#.#.#...####.#.###.##.####.####.#.###.#.######...####.#.#.#.....#.##.#####.##....#.##.#.#.#.#####...##.........####..####...##########....#..#.##...#..#####.##.#..#####......##.###########.#.#.#.##.#.##..####...###.######..#.#..##.#.##.####..##..##..#####.#.##########...#.###.##...##.###.##...##..#.###.#.#..#
#.##...#...###.####..........#..#####.#.###.#.##..#####..##........##.#...##.#.#...##.....######.####..#..##..####.#.###..######.#.#.#....#.#.##.####..#.#########.........###.#..###.##.#.#.#.####.##..####.#####.###....######.#####.......###.#...#......#.####.####...............#..###..#####.####.##....#######..##....##........#.##.##..###....#.#.##.###########....####.###..#####.#.....#..#########.##...###########...#.###.#.##.#.####.####.#...##.#####.#..#.#.##..#####....####.#.#.##.#..##...###.##.....##.##.#.##.####.##.#....###.####.#.....#..##........###...#..##.###.#.#.##.#..####.#...#.#.##
#.####...#..#####.#######.##.##.##.............##..#####.#########....##.########.###.###..##....#....##.####.###..#...####.##...######.#.#.#######.######.#.#.....#.#.###.#...#.##...#..#####.#....###.###..........######......######.####.##....####.#.#........##.######.###.#.##.####.#####.##.###...####.##...#..####.###..#.####.#.#.....##################.##.#....##.#.....######.#..##.##.######........###.....##......#.......#.##.###.####....#.#.....#......##.#..##..##...##......###.##.#.#####...######.###........###.##..#.#.##.##..##...#####.##.##.######...#.#.####..#.#.#....#.##....####.##.#..#
#..#...####.#.#...........#...######.##.##.#.#.##.##......##.......##.#....##.#.#.#.....##.##.#.#####.##.#.####...##.###.......#.#..#.#.#######.#....#..##.....#.#.#.###...##.######.###.##....#.#.##.###.##########........#.####......###.....##..#.###.##.#.#####.........#...#.#..#.............#...####...#..#...##.#..#...##.#....#.########.#.###.#.##.#.........#.##..##.#.##........#####..##.#...#.##.#.##..#.#.#..#.#.###.#.#.##.#...##..####.#.###.#.#...###.#####.##..#######..###.##...##.###.....#.##.#.....#######.##......##.#.#..###..#.#.#.....##.#..#......#.#.#....##...#.##.###.###.###....##.####
##...#.#........#.######.##.#####.....####.#.#....######.#######.#.######.##......#.#.#.#..#..#.#.....####.#.##.#.##...############.....##......####.##....#.#####.#.#...#.##.##..####.###########.##.....##.#.......##.##.###########.##...#######...##..####.#.....#.#.#.#.###.#.##.##.####.#.##.##.#..##..####.###..#.#####.######.#.#.######................#########..#####.#.#..######.##.###.#....###.##.#..##.#.###.####.#.###.###..##.####...####..#..#.###.##..##....##.##.......##...#..#..#...##.#.##.##.####.##.....#.#####.#..###.#.##...##.###.##.###.#.####.##.#.#.#.####..#.###..#####.....#.##.##....#
##############.#####......###.....#.####.########..##.#....#.#####..###...#..#.#.##.#.#.##.##.#.#.#.#.#.#.......#..##.#######.......##.######.#.........#.#####.######.#.#..#####...##.###....#.######.##.#....#####.#...#####...#.....##.#..##.....#..##.#.#..#.#######.#.#.#...##############.##.#..#.##..###.###...##.#.#......#.###.#.#......#.#.##.#.####.##.........##.#...#.##.##.#...#......##.#.#....#.#####.#...####...#.....#...#####..###..####...#####..##.##..##.###########..#.#.#.###.##.##..#.#####...#######.#.........#.###..#..##.###.##..#..##..#....####.###.#..#.####..###.#.....#.###.#..##.#.##
#.#.##..#.##.###.#.###.###############.#.##.#..##.###.#.##.#.......##.########.####.#.#.#..#..#########...#.##.###.##.##......#.##.##..##.....##.#.###.####......##.#######.....###......##.#.....##.####.############.#.##.#..#...##.###########.#.#######.####.##.#.##.######.####...##....##.##.#.##.###.#.......#.##.....#.####.##..#######.##.#.#..#####..######.##.##....###.#..#....#.#.#.#.###.###.#.##.##....#.#.##...#####.#.#.#.##.###.....##.#..###.....##..#..#####.##.##.....####.#..##..#.###.###.....#...##.#######.#.#.##.#.##.#####...#.###.##..##.#.#.####....#.##......##..##.##.#.########.##..#..#
#.#..##.......#.....#####.#.##.#.#.#.....##.##......#.#.#..##.##.###.....#.#...##...###.##.#.##.........#.##########..###.##.#########.######..#####....########.#....#.#.####.#########.#####.##.##.#....###.#....##..#.#..#####.#####.##.###.####...##.#.......#.........##...#..###.#..##....##.#.#...##.##.##.#.#.###.##.#.##.#.#..##........###.#.####.##.#......##..####..########.#.#.#.###.#...##..#.##.###.#.#.######.##.##########....#####......##...#.#..##.####......#..####.##.####.##..##.#.....##.#.####..#.#.#.##..#.###.....######..#.###...###..###.###....#.#####.#.#.####.##.#..###.........##.####
#.#.#####.#.#...###..##............###.#..#.#####.#.#.####....##.##..###.....#..##.####.#########.#.###.###...#.#.#####.######.##.#.#..#......##.....##.#..##.##.##.#.....##.####.###.##.#.#.###...#.##.#.....####.###.###.##.###...##.....#.#......####...####.##.#.##.##.##.#.##.......##..##.##.#.##.##..##.##.#.#...#.##.#.##.....##..##.#.#.########...#..##.#.#..#.#####.##.#.##################..##.#.####...#.#..##..#.#....#.#.#######.#####.#.##..#####.##..###########.##.......#..##...##.####.#.#.##.#######..........##...##.#.###.....##...#####.##.##....####.#...##..#.###.#..##.###########.####.....#
#.#.#.#.#.#####.####.#..##.###.###.##..##...#.##..#....#.#.##..##########.####.##..##.....##......#.##..#####.......##...#.#..........#######.####.#.####.##...#.######.#.#...##.........#.#.#####...########...#......##......#..########.....##.#.##...#.#....##.#.#..##.##.#####.#.##.###..#.#..#.##.###..#.#..#.#.#.##########.#.#############.##.#...#...###.###.##.#......#.#.#.#.#.#...##.##....###.#.#....#.#.######.######......#.#..........#######......##..##...#........#.#.#...####.###...##.###.#...#.#.######.#.######.##..#.#...#.#..##.##........#..##.#....#.###..######.#####..##..........#####.###
#.......###.....#......##..##..#....#######....#.###.#......##...#.#......#....###..##.##..##########..##.#######.#..###...############.#.#####.######.#..####.#.#.#.####.###.##########.#.#.#.##..#.#.#.#....#...#.##########...###.......#.#.##.#.##.#.###.##.#######.##..#.#.....#.#....##.####.#..#.#...##.##.#.###...#.#.#.#..#.##.#...#.#.#.......#.###.##..#...##.##.##.##.....#.#.###.#.....##...#.#####.##.#.##......##....#.##...###.#.####.###.#...#.##.########...##.##.####.#.###....##..#.##.##..##.##..........#...##...#..##.##.####.##..###.#.#.####..######.#...##....#.#.....##..####.###.#.....#.###
######.######.#.###.##.#..####.##.#.###.....##...#...#####.##..###.###.##.##.#.#...###..#.###....#.#####.....##.####.#.###...##.######.................##..............#...##.#.####.#.#.....#.#..##.....######.#.######.##.###.##.###.#.#.#.###..#.####.##..#..#.......##.##.##.#######.###...##..########..#.##.#.###.#.#.......##.#....#.....#########.##...##.###..##############.........###.###..#.###......#.#..###.#.###########.#..####.#....#.....###..#..####.#######.#..##...#...##.#..##.#.##..##.##..###.#####.##.#.##.#.##..#.#....##.#####.########...##......##.####.#.....###.#..##....#...#.##.####.#
###.....#.##..########.##..##..#..#...###.#..#.#.#.######...#.##.#.....#..##.#.###.##..##.#.####......#..#.#.....#......####.#.........########.#.##.#..##############...#...............#.#.....###.#.#........#.#.........#.####...#####.#...##.###....#..######.###.##...#######..##..##..#..##.#....##..####..###...###.#.##.##..##.####.##............##.#######.##..............##.####.....#...########.#.#######...#..##.#.#...####.#.######.######.#...##.##............#.#######.#..#.#.##..#.#..##..##.######.#....#.#..###.#..##.##.###..#......#####...#######.#.##...##.#.#.#.##########.#.#.###.#.......#
#.#####.#.###.##........#.#######.#.#.....##.#.#####......#.####.####.##.##..###....##..###......#.##...##.#.#.#...##.#......#.#.##.####......#########.......####.#.###.##.#.#.#.##.##.#####.##.##..####.##.######.#######.#.##.###.##.#..##.##....##.#.####.##...#....##.##...#.##.#..##..###..#.###.##..##.#..######.##..#.#...##.#..#....######.#.##.#.#####.##...##.##.##.#.##.#..###....#.#####..###.#.############.###.##.#.#.#..#.#...#.#.####.#....##.########.#.#.########.......#.##.#.#..##.#.####.####..##....#.##.#.##...##..#.##.#...####.##..#.#..#.##......#..#.#.####.###....#.##..###.#..##.#.#.##.##
#.###.....#.#.#..#.#.#.##.#.##....#.##.##.##.#.#..#######.###.........####..####.#.##..##...#.#########..#########..########...##############.##.#..#.##.##.#........#....#####.###...###.....##..##.################.###.................##..##.#.#####.##......#.#.#.########........####.#...####......###...##......#..##.#.#..#.#.#####.#......#.##.###.#...#######.##..########.##...##.####.#####......#.#.#.#...###........####.#.#.###....##....##.#####.#.#########........#.#.#.#..#.#.#.##..###.####.###....####..#.#..##.####.#.##.###.##...###.....######.##.##.##.###......##.#......##...#.##..#.#.##..#
#.#.###.#.....##.#.#.#..###..####.#.#..#..#..####...........#.#.#.#.#.#....###...#.#..##..#.#####.#.....##......###.##.....#######.##..##.#....#.##....####.##.#####...#.####...#...#.#######.###..###.#.#......#.##......##.#.#.##.#.#.#####.##.###.##...##.###.#.#.#.#..##.#####.#.#.##...##.##.#####.#...###.##.##.#.##.#######.#.###.######.##.##..#####.###.#.###...######.#.###.#..####.##.....######.#.#.#.#.##.###..#.####.##.....#.#.###.######.#..#.#.#.#.#.####.#########.###.#.#.##.###.##.####.#.#...#####.##...##.#####.#..###.##.#...##.#.#...##.##.#.#..#...#.##...####.#..###.#.#.####.##..##.#.#####.#
#.....#.#######..#.###.###..##.#..####.#.######...####.##.#.#.#.###.###.#.##...#.###.##..#####......#.#.###.###..#########.#..##...###.#..####.#..####......#..#.....#####..#######.###.##.#..#.####.......####....##.###.##.#.#.#..#.#.##....##..##..#####..#...###.#.##.....#....#.#..#.#.#..##.......#.#.##..##..######..####.#######........#..#..####.........#...###.#.#........##.##...##.#.#...#....#.......##.##..####.....#####.#.#.#....##.#..##.#...........#............#...###.##.##...###....#.###..###...###..#..###....#########.#.##.#.#.#.#..##.....###.#######.#....#.######.#..##...##.##.#.##....#
#.#.#...##......##.#####.#.##..##.##.###.##.....#..#####..#.#########...######.#.##...####.#.##.#.#.#.#.#.######...#.####....##..#.....##.##.....#########.###.###.#.##.###.#.#..####......####.##.###.###.###..##..###...########.####..####.##.####.####..####...##########.####.#.##.###.#.######.#.##.#.###########..####.#.....##...#########.##.##...##.####...#.###.#.####.#.#.##.##.#.##.#####.##########.#.#...########.##..##.#.#...###.##....######.##.#.#.#.#.##.#.##.##.#.#..##.##..##.#######....###.....###...###...##.#.##.##.....#.######.#.#.######.##.........#.##.#.#..#.######.##.#.#..##.#.###.#.#
#.####.##..###.##..#.###...###..###......#..#.#.##.#.....##.###.......#.###....#.####..##....##.#.#######..#.....###.#....##....######....####.#.##..#.#.###.###.#####........##.#.####.##.#.##.##.#########...####.....#.#.#.#....#.#..#####.##.##........##########.####.........#..###...#.#......#.##.###.###.##..##.##...###.#..##.##.......####..###.#..#....#.#.#.....#....###..#..###.####..##....##.##.###.##.##.#.#.######........#........#.#####.##########...#######.#..###.###.##.##..##..#...##.#.####.##...#...#.#..###.##....##.####.#....######.....####.##.##.#.#..#.#.##.#.##.###..####.##.###...#.#
####.#.#..##....####.#.###..##.###..#.##.######.##.###.######.###.#######.###.##....##.###.#..###.##.#.###.#####.###.##.#.###.#.##..#####.#..###.###.#...###.##...######.#.##.#.....#.####.#..#.#............####.##.##.#.#.....#.##...##.....########.###..##.####.#..##..#.#.###.##.##############.######.....#.###.##.##.#.######.....#####.#......###########.##########.####.#...##.##...#.###....##........#.....#......#.##.##.#.#.#.#.##.#.#.#...##......#.#.###.##.....######.....#.##..##..##.###.##.........#####.#####.###..##.##.#..####...#.###...##.#.##.#...###..#.##.#.#...........######...#...#####.#
###....##.########.....#.#.##......##..#####.#..#####..##.#.......##...#..#########.####...##..####..............#.#..#####.#######..###....##.........#.#...#..#..#.#.######.###.#.#.##.#.##.#.#####.##.######...##..#.####.#.##.###.##..###..##......#...##.....#.#.##..########.####...............#.#######.#.#.#.#...###...##.###.###.....####.#.##.##.##.####...###.........###.#...#####...#.##..##.#####.#####.######.........#.###.#.##.###.#.######.##.........####.#........#.###.##.####.#...#####.##.#.#.#####....##..##..###.#..##..#.###.###.###....###....#...##.####.#.##.##.###.#..##....#.#.###.....#
#...#.#####.#.##.#.###......###.#.##..##.......##.#.####..###.###.####.##.#.#..##.###.########...#..##.#.#######.#.##...###.#####...##.##.#######.#.#.##.###.#####......#.##......#.#..................######.###....#####.#####....#####.##..##..####.###..###.#......##.#........#.##############.###.#...#...#.#.#.###..##.####.#####.#######....###.....#....####..#..#.###.#.#...##.###.##.#...#..#######.#.#........##..#.#.###.###...#.##.#...#..##.#...##.#.#.##...####.####.#.#...###...##..#.#........###.#.#.....#.##..##..##.#######.##.....##......#.##...##.##.##...##..#.#...#.######.#..##.###...##.##.#
##.####.##.....#.########.#.....#..##.###.#.##.#.....####.#####...#.......#.##.##.##..#.#...####.#########..........##.##.#.#.#.###........##.#########......#.#.####.#......#.#.##...#.##.#.###.##.#.###......#..##.##.....#.#..####......##.##.##....##..##########.######.###.#....##.##....###...##.###.###.........##.#...##................##########.####...###.#######..#.#####..#......#.#.##.#.......#.##.#.#.#....##.###...##..#.#..#####.#.###...########.###.##.#..#....###.#...##.##..#####.##.#.##...#.#.#.#.#..##..##.##..#.##...####.#.##.#.#.######.##...#..##.####.#.#.#.#......#.##.#..###.###...#.#
#...##.....#.#....#.......##.#.#####....#####..#.###........##..#.#.###.#..........##...#.###......#.##..########.#.....#.......#.####.###.........#.###.#.#......#...##########.#..#.####.#.###.#..#.#...##.#...##...###.#.....########.###..#..##.#.##..###.##.##....#..####.###.#.##.....##...##.##..........#.##.##....##.####################.##.......#####.##.#.##..#.##.#.##....#####.#######..#.#.#.#......#####.##.##.##..#.##.##.#.##.....###...#.###.#.#..#.###....###.#.##..#.#..#.###.#.#...#..#..###.#.#####.#.####..#####......#..##..#.##.#.#.#.......##.##.###...##.#.###.#.##.#.#.##.##.#....##.#.#.#
#.#.######.#.#.##...####.##..###.#.####.#.....####...####.#####.#.###...##.####.####..#.....######.#.##.##.##.#...#.#.#.#######.#.#.####...#.#.###.......#.##.#.#...#.#..........##.####...#.#...##.#.#.######.#..############.##........##..###.##.#..##.#.........##...##.#......###..#.###..#.....####.#.#.#.#.#..#..##....#.##.##.###.#...#.#..#..##.##.......#.....##...########.###.#...#..#.#############.##..##...##.##..##.#.##.##.#..##.##...#######.#.....##.....##.#...#####.#.#.##..##.#...#.##.#.##...#.#.....#.##.#####.#####.###.####.#..###.#.#.##.#.##..##.##..#.#..#.#...#.#..#.####..###.##.##.###.#
#.#..###...###..###.#.....##.#...#.#.##.#######.##.######.##########..#..####....#######.####...#..#.#..#.......#.#####...............####.#.######.#.######..####.#######.#.##.##..##...#.#.##.##..######.###.#.##.###.###....##.###.##..##..##..####.#..#########.####.##...####...##.#.#...###.#.##....###.###############...##.#..#.#.###.#.##.##########.#.#.####.#####.#..#########.###.##....#.#.#.#.###..##.#####.##.#..########.##.##..###..#.#####.....##.##..#.#.#####.##.....#.#..##..###.#.######..###.#.###.#.#..#.####..#.....##....##.##..##.######.####.##..##.##.##.#####.####.#..#.#.###...#.#...##.#
#.####...#.####...####.#.#######......####.####..####.......##.#.#.#.###.#....##.#.#.#.#..#.###.##.#.##.##.#.#######..#########.#.###......###......####..#####....#.#.###.########.##.#.#####..###.##.#.......#.#..........##.##.##...##.##.###########.##.........#.....#####....#.##.#.##.####.#.##.##.#...##.#....###.#####.#..##.....#.#.#.#....##.#..####.#.......#......##.##.#.....#####.##.#.#......#..##..#......#.##..#.#.##..##.#..###..##.#.....##.##...####.###......###.#.############.###......#########..#.##......##...##.##..####...##.##.##.....#.....##..#..#.##.#......#.#.##...###...#.#.##.##..#
#.###..#.###.######..###..##..###.#.#..##.....##..#.#######..#.#.#.###.###.#.###.#.#...##............#..###########..##.##.###..###...##.#...##.###.##.##..#.##.##.#.......#.........######....##.###....#.#.#.###.##.#.##.##..##.##.###...########.#.....###.#.#.#.#####.......##.#.##.#.##.#.#..#.##.##.##.##....##.#...#.#.#.#.#####.#...#.....##....#.##.########.#...##.#.##.##.#####.#.#.###....######...####.##.#.#.###..##......######.##..#########..########.##...###.#.##...#...###.#......##..###.##..##.....##.##.#.#####.#.##.#..##....#..#.#..##.#.#.#.#.#.###.######..##.##.##.#..#.######.####.#..##.##
###...##.#........##.########.....####..#####..##.#.##......##...#.##...#######....###..########.#.#...##.#.#...#.##.#.....#.######.#.#..#.###..#...#..###....######.#.#.#.##.###.#.##......#.###.##..##.#.###.#...##.#.#...##.##.##.#...####.##..#.##.#.##...#.#.####....#.#.###..#..#.#.####.##.#.##.#..####..#.###.###.......#.##.#..###.#########.#....#.#.#.#.#..##.#####..#.##..#........##..##..#.#...#..#.######.#.###.#####.##..#.#.#####..#.#.##.#.####.#.......####..#.#..#.#.#.....##.#.####.##...###.#..###.##..#.#.....#.###..####..##.##.#.####..#######.#.#...###.###.#####.#..#.##..##.......####.##..#
#...#.##.##.#.###..#.#........###.#####.###.##.#....##.#.##..##.##..##.##.#.#...##...##.#.###....#.#.#....#.###.#.##.##.##..........#.#.##...#########.#.###.##...######.##########.##.##.#.###......##..#..##.#.#.#..####.##..##..#####.#..#..##.#....####.#.#.#.#....##.#.#.#...##.######.##....#..####.#.###.####...##.#.###....#.#####...##..#.#####.#.........#######.####....##.####.###.#..####.....#.#.##........###.#.##..###..##.........##.#.#....##.....###.#.#....##.##.#.#.#.##.########.#..###.#.....##...##.#####.######...######.##.#..#..###.#######..#.#.#......####.......##.##.####.#.#.##..#.#..##
###.#.##.#########.....#.#.########.##......##.##.#..#######....##.##...#.#...######.##.....#############.#.##.....#.#####.##.#.###.#.#.#..#..###.............###.#.#....##..#.......#.####.##..###.##..###.##.#.#.####.....##..####.....##.#.###.########..###.#.##.###..#.#.###..#.#.##......########...#..####....#....####..##...#.##..#..##.#.#...########.##...#.#.....#####.#..#....#...##.#.###.#.##.#.#####.###.##.....##.....#####.#.#.#.#....####..####.##...#.####.##.#..#.#.#.##...###......##...####.#####..#.#.#.#...#.####.##.....##.##.#.##.####.#.#..##.#.#.##.###..####.#.##..##..##..#.#..##...##..#
###.###..#.#.......#.#.######....##.####.##.....####.##.#.####.##..####...##.##...#...###.#.....#.#.#..........###.#.#.#...####.##..#.#########.#####.#######.........#.####.###.##.####.########...##.##...#..######...#.########.###.#.##.....#.#.####...######.#####..##.#...##.#.#.####.#.####.##.###.##..########.##.#....###.###....###........#####..########.#.#####.......##.###.####....#.#...#.#..#.#......##..####.####.##..#.#..#.#.#.##.#......##....####.###.....####.#.#.####.#...#.##.##########...##...##.#.....#....###.###.##.##..#.####.##...#.##..###.###...##.##....#..##..##..##.#.##.#..#.##.##
#....#####.#####.#.#.####.#.##.#.........####.#.......#.#.#....###..#####.#######.##.##...#####.#.#.#.####.#######.......#..##...##.#.#..##.##........#.......#.#.##.####.#.......#.#.#....#.#.#..#.##..#.#######...#######.#.##.....###.#..#.#.....#..###.##.#####.#...#####.###..###.#.#..#.#............##..........#..#.#.##....#######.###.#.##..##.##.#..#.#.#...#...#######......####...#.##...#.#.##.###.#.##.##.###...##.#.##.##.#.##.#.######.#.##.#..#.##....#...#.#.###..#.#....#.#.#####..#........#.#.#..###..##.#.###.###...#...####..#####.#.####......####.##..#..#.###.###.####.##.###.###..##.#.#...#
#.#.##..##.......###.###..#.#####.#.#.#.##.####.#####.#.#.#.##.#.#.##.##......#.......########......###....#.....###.##.###..###..######.....###########.##.#.########......#.##.##.#...##.......##.#..######.....#.####.#.......#.#..#..##.####.##...##.#.##.#.###...#..##....##.##.......#####.##.##.##.####.#######.#.########.#...###.......#####.....#.##.......#...#.........###.###.###.#.###.#######.##..#.#..#..#...#.##...##.#....##.#.##.....#.##.##.#.#######.#.#.###.##.#.##.#########...#########...#.##.##..##..#...###...###.#....####.#.#.#.#..####.#....#..##.##....##...####.#.##...#####.##..#.#.#.#
#.#.###..###.###..##.#.##.....#.#########.......#...........#......##.#######.######.###.#...#####.###..##.#####......###...##...###.#.#####.###.##.##.#########....#####.###.##.#####.##..#.#.#..#.##..##....#.###........##.#.##.##...##...##..#..#......#......######.####.###.###.#.##.#.##..#...#######.####.####.###.#.##.####.##.#######.##.###.##......#.#.#.#.####.##.#.###.#.#.#.#.#.#.#...#.#......##.#.#.###.##.####..#..####.#########.##.############.......#.#.#......#.##....#.#....#..##....####.###..##.####.##.####.###...#.####........#...##....#.#.##.#######.###..#..##..#.##.#.....#####.#.#.#.#
###.#...##.###...#####.###.##....#.#.######.#####.###.##.#.###.#.#..#.#.####....###......###...###.....######....#.######.#####.###....##........#......#.#..#.####.......##..##...#.#####.#####.##..##..##.#.#.#...##.#.#..#####...##.####.####.########.##.##.#..###.#.#......###...#.####..#####.####......#......#####......###...#.#.##....#......#..#.##.#.#.######.#.#######............#.#.#.#...#.#.##..#.#.#.####....##.##...##.###.###.#########.##.#.#####.##.#.####.###.#..#.##...#.#.###..##.#........##.##....###.....######.##....#.#.####.#.######.##.#.##.##.#....#.####.####....######.###....#.#.#.#
#...#.#..#.##..###.#.....#######......#.#.####....#...#..#..#######.#.#....####.#...##.#.....#.....#.###..#.####.###.......##...##..##.####.#.##...#.##...##....#.#######..##.##.#.#.......#......##..##.##.######.##..###.##..#..####.##...##.#.#........##.##.##.....#####.#.##...#.#.#.###.#.#...##.######.######.###.#.##.#.#...#......##.#.##.##########..###.##.#...###.......##.#.#.#.#.########.##.####.##.#.#......#########.##..#....#...##.#.#...............###.#######..#.##.#..#.###.#.########.#######...##.#.#...#.#.##.....#..#.##.#.##...#.#.#.#..#..####.#....##....###.##...#.###.#.####..#.####.###
########......###....#.#..#....######......#.#.##.#.#.##.####.#.........##..#...###.##.###.#.#####.######...####.##..#.##.###.########......#.##.#.######....##...##......##..##.#.#######.##.##.###.##..#..##.##########..###...##.#..#..#.##.#######.#.#############.##....#..#####.###.....#.##.##..##.#....##....#.#.####.#...#.#.##.#....##########...###...###....#..#######.##..#.#.#.#...##.....##....###..######.#..##.##.########.##...#........#.###.#.####.##.....##....##..#.#.##...###..#.#.#.#.#####.###..######.##.#.#..##.###.###########.........###.##.###.##.###.#...###..#.#..........##.#.##.....#
#..######.##.##...#.#####.####.....###.###.....###########......##.##.#####...#.....##.#...##########..####.#.....##.#..###...#..###...#.#############.#..#.#####....#.#.##..###.#.#.......#####.#....##.#.##...##...#....##.#.#.#....###.#.##..#.##.#.###.#..............##.##.##.....######.#..#####..#...##..####..........##.##.#.##.##.####.#.....#.#.#.#####...#####..#..#.#..##.#.#.####.#######.##.#.#######......#.###.#...........#..######.#.#.#.#...###.....####.####.#..##.#.###..######.......###.........##..#...##.####..###.#.#####.##.###.##.###.#.......####...##.#.#.###.##.#.#.#.#.#####.#..##.#.##
##..#.##..############......####.#.......####.##........##.##.#.#########.##.##.#.#.##.##.##......#.##.#.#....#.#.#..#####..#.##.....#######.............##.#.....#.##.#.###...######.#.#.##.....###.##########..###...##.#....#####.###..#.###.........##...#.#.####.##.###..###..##.##........####.##...#..##....##.###.##.##..#..#.#...#.#..#...###.###....##.#######.##.##...##.##.###..##..#.###...##.###...########.#.##....##.##.#.#.##.##.#...#.#.#.###.####.#.#####.##...##..###...####...########.##..##.#.#.####...#.#.....####.......##.........#....#.###.###.#.#..#.##.#.#...########.###.####..#.##..#..#
###......##.#.#.##.#.##.#.#......###.#.###....##.#.#.##....#..###....#.......##.#.#.#...#########..........#.##.#.##.##....######.##.##.#....#.####.##.#..#######.#.#..#.#.#.#...##.###.######.#..##...###..####.#.#####..###.##.....##..####...####.#.##..#.#.###..#.#..##..#####..#####.##.##..#.#....####.###.#....###.######.#.#####.#####.#.#.#....#..#.##..#...........###.....###...####.#.....#.##...#.#..........#..###################....#.###########.#######.....##.###.###..#...####.#.#.#.##....##..#.#.##.##.##.#.##.##....#.##.###.#.##.#.###.###.#....##...##.###..#####..##.#.##...#....####..##.#.##
#.##.#.###...........########.##.#...####..##.######.####.##########...#.#.#..###.########.#.##.###.#.#.##.#..###########.###...######....#.#####...#..#.##.....#####.##.#...##.##......#..######..#.#.#.##.#.##.........##....##.##.#..##.#..#.#....#####.#.#.####...##.##.##.....###....#..#..##.#######.###.####.#.#...#....#.#.#......##.....####.#...##..##.###########.####.##..##.#.##...#.###.#.##.#.#.###.#.#.##.##..##...........#.....#######...#...##.#.#.##..#.###..#...##..###.##.#.........#.##.##.####..#.##.##.#.##..##.#.#.##...###########...######.##..#.#...###..#.###..#.#....####.#...######.#..#
#.########.#.#######.#.#.##....#######....##..#.#.####.####.###.##.##.##.###.#######.#...#..........#####..#.###.#.#........###.....#####.#.#.....#.##.#.######.##.#..##.##.###########.##........##.#.#.........#.#.###.##.##.#####.#####.#.#####.#.##.#..#.###....###..##..###.#.#.#.#.######.##.#.##.............##########...#.#.##.#.##.#.####.#####.###....#.##.##.###......##.##..#..##.####...#.##.#.#.#...###.##..##..##.########.###.#####.#.###.###......#..#.##...##.#.#.#..##.#.#..#####.#.#...####..#....##..#.##.####.##..#.#..######.##.#.....###.......#.####.#...##....###...#.##....###.#...##.#.##.#
#....##..###.#..#...........#.####.....######.#..........##...........##...###.......###.#.#.###.#.###....#####....##.#.###########.......###.##.##.#..#..##.........##..##.##.#........#..##.##.###.#########.#.#####....#.#...##...#...#.#..####.#.#....##.#...##.#...####.#...###.#####..............#########.#.#....##.#..#.#.#.##.#..#####.....#.####.####.............###.##..##.##.###.##...#.#..#.###.#.#.#...##.######..##..##.#.#...#............####.##.##...##.####.###.##....#.##....##.#####...#######.####....#....#..##.#.######.#.......##.######.#.###.##...##.##..##...##.##..##.#...#.###....#.#..#
###.##..#######.#########.#.####...##.#####...##########..###.#.##.#.##..#######.###.......#######.##..#.##.#.####.##########.##.#..#####..#####.#####.#.#####.##.############...####.#.####..#..#...##........####.###.######.###.###.#...####.#..######..############..#.###.####...#.#######.#.##.####.###.....#.#.##......##.#########...#######...#.#..######.######.#.##...###.##.##.##..########.##...###.#.#.#.#..##.....####........#.###.##.#.#.#......#.....###.....###...###.###.###.#....##....#.#....#...##..##.#.##.#.########.#.....##.##..#.#......#.########.##..##..##.##..#..##..#.###..##.####.##.#
##.....##..##...#.#...#.#.#.#....#..####..#######..#.#.##.....#.#..#..##.##...###########.##...#....######...........#.#......#....##.....##......###..#.#.....####...###.##.######.###...###.##.#####..#.#.##.#.........#.#...#...#...#.#..#.....###.##..##.......#.##.##.#...##...#...........###..###....#.#.#.#.#####.#.#.####..##.#.#####.##.####.#.##.....######....#.####..##.#..######.#........##.#.#...#.###.#.######.##.######.##.####..##.#.#.#.#.#.###.##...###.###...###.....#.#.####.#.###.#.###.##...#..##..###..#.#########....#.#.#..##.##.#.####.#.....##...##.##..###..##.##..##.#.######...#####..#
#..#.#..##.#..#.....#.....#.###.##.##..##.#.###.##........##.##.#.##.########.............#..#...#.##......####.##.#.....####.##.#..###.#..########.##########..##..#.....##.#.##.......#.#...##.#.....####.#..###.###.#...###.###.########...###.##.....##..#####.........#############.#.##.########.####...#.#####.....#.#.#.###.......###...#.#.##......#.#...#....#.##..###.##..##...##...#.###.##.##.#####.#.#...#....######.#.#.....###....##..#.#.#.#.###....##.##.....#######.##.####......#.#...#.#...#..#.#.####..##.##.#####.#...#.##.#.##.#...#.#.#....##.##.##.#..#..##...##..#.##.##..#......#.#.#.####.#
#######......####.####.#.#############.............##.###.##.##.#..###....###.#.###.##.#.######.##..#########....#.#.#.#.##......#.##...####.##.##...##.#.#.##.####.#.#.#.......##.###.##.#.#.##.###.###.###########...#.#.###.#...##.#.#.##.########.#.##..###....###.##.#####.##.#.##..#..#####......#.#..###.#..####.#.#####.#.#######.#.###........###.##.#.#...##.#.#..##....######.##..###.#...#..#...#.##.#.##.##.#.##..#.#.#...##.##...##.#..##.#########.#.##...##.##..##.....##...#######.###.#####.#.#.##.#...##.##...###.##....#.############.########.##...#..###.##.###.###..##.##..##.#.##.###.#.....##.#
###.#.####.#.#....##.#.###.#..##.##....####.#.#.##.##.#...##.#..#.#######...######..#..#..###....##.#....##...#.####.########.#.##..#######..#...###.#.........##...#.#.##.##.#....##...#.#.###..##..#............####.#.###...###.#......##.##.......#..####.####.#...##.#.............######....##.#.....####.##....###.#.........###.........####.#.#....#######.##.###.##..#.##.......##..####.####.##.##....####..#######.#.#.###.##..##.##..#.##....##.##.###.####..#.##.#####.#.##.###.......#...#.....###..###.#.##..#####......##.####.####.#.......##.#...###.##.##...#.##....#.###.#..##..#.##...#.#.#.####.#
#........#.#.##.#.#..###...##.##.#..######..#####..##.###.#..######.....###.##.##..#####.##.####.#..##.#..#.#.#.#.#####....##.####.##.###.##...###.#.#######.#.##.#.#.#.#..####.##..##.##.#####.##..##.#.###.####......######.####.#.##.#....#..#.###.##..##.......#.#.##.###########.###.###..########.##.##...#..##.#####.#.###.#.....##.#.#############.###.#....##...#####.#.#####.#.##..##.......###..##.#.##....##................##.#...##.#.#..####............##.#.##.#.....#.#....#.##.#####.##.#.#.####.#...#.##.####.##.########....#.#..##.#.####....#.#....#####.##..##.######..##..##.#.###.##.#.#....###
########...#..###.##.....#....#....###.....##.....###.##..##.##..######...........##.#...#....###########...#.#...#.#.##.#....##...#.......###..#............###..#####.##.#....#..##...###...############.##########.##...####..######.##.#.#.##.###..##..##.#.##.######.#...##.###..#.......##....#.####..#.######..#.#######...#.#.########.##..##.##...##....#.##..#####.#.###..##.####.##..##.#.#####..###..############.#.#.#.#.####.##.##..###.##..#.#.#####.####..#.#..####.##.##.###.#..#......#.#.#.#....###.#.#........###......####.....##..#.#....##.######.##..#.##.##...#.#.##..##..#####...##.#.##.#..##
#.##.....#.##.##..##.#.#.##.#...##.#...###.###.##.##...#########.#..#...#.#.#######..###.#.##...##.##.#.#.#.#.#.#.#......##.#..#########.#..###...##.##.##.#...##.##.....####.#.##.###.##...#.....###.#...............###.##.###.####.####.#.#.####...####..########....#####........#####.##.##.##...#....####...###.#.#.##....#########.#.#...##.......#.##.##.#..##.##..........#######...##.##.###...##..##.##...#.##.#...#.#.#####....#...#####..###...#.#.....##############..##.#...#####.#.#.#.###########.##..####.####.##...###.##....#.#....##.###.###..##.....##....#.##.#.....##.######.....#..###.#####..#
#..##.##.#.##.##.###.#.#.#####.###.##.####..##.#..#..######.##...##.###############.########..#...........#.#.########.#.#..#.##....######.##.#.###..####..#.#.##.##.#.#.#....#..#.#....##.##.#.#.......#.#.#.#.#.##.##.......#....#.......###.#.###.##########..######.##....#.##.#.#.######.#..#..#...#.##....#.........########.##.......###.#..##.##.#.#..#..#.############.#.##.......#.##.##...###....##...###.#.#....#.###.##.###.#.##.####.##..###.##.#.#.#........#.##....#####.#.....#######..##.#.#.....###.##....##...##.###.....#.##.##.#.####...##..##..#.#.#..#.##.##.#.#.####......###.###.###...##...##
##.....###.#..##.#...#.###...###....###....#####.###.#.........#.....###.............#.####..####.##.#.##.#.###........#.##########.#...#.........####.#..##.#..###..#.#.##.###.#############.#.###.###.#.###.######.##.#.###.####.###.#######.#.......##.#.#.##.#.#....#####.###..#.#...##.#######.#.#.#######.###.#####..#.###.#..#####.#...#...######.####.##.#.#.#..........#..####.##.#.##.##.###...#.####.##.......##########...#########..#....##....#######.#.##.###..##.#.#.....##.#.###......##......#####...####.##..#.##.##..###.###..##.#..#####.##.####.#.#.##.#..#.##.#.#....#.#.##..##.#.....#.#..##.###
######.#...##..#####.#.#####.....#.#####.#..#.#####..#.#############.....#.#########.#.#.#..##....#..#..#.#.#########.######.#.##.....#...#.##.####.##...######.#...####.#..##...##.#.#..##.#########.#####...#.......#######.#.##..########.#.##.#.##.#...........####.#.#.############.#...##..##.#.#.#..#.##########.##.#.....##.#.#######...#.##.....######..#...#####.#.##.##..##...###.#..##.#####.#.##...####.#.#.###.##.####.##.#.##.###...##.##.##.#.......#..######..###.#.##.#####...######.##.####.##....#..##..###.######..##.....#####.#.##.....##..##..#.#.####.#####.###.######.###..###.#.#.######...##
#####..#.#.#..###.####.#..#..##.#####....#.##...##..#####..##........###.#######.....#.#...######.##.##.###.#.........##.....#.####.#.#.#.###..##......#...##.#.##.##....##..##.##......##...#.##..##.##.#########.#.###.#.........##.#....#.####.#.#..#.##.##.#.#..#...#.#..##.#.#.#......#....##########.#..###.##.......#####.#.......#..###.#.#..##.##.#....###.##.....#.#...##.###.######.##....##..#####.##....#.#.#...................#.##.##...###..##.#.##.##.....###.....###..##.#..####.....##.#....##.#.###.###.#.####.####..##.#.##.#.###..###.#..#.###.##.###........#.##.....##....####...#.#......###..#
##....##.#.##.#.....#####...#####.....##.######.#####.#...######.#.#.#...#.......#.#.....#.#......#..####...#.###.#.#..##.##.#...#..##########.#####.#.##.##....##..##.#..##.########.#..###...#..##.......####.#..#.#.....#.##.##.##.####.#.###..#.##.#.#...######.###.#.#.##......##.##.###.#..#.#.#.....#.##.#.#..#.#.#.....#.##.####.##.....###.#####..####.#....#.##.##.#.#..#..##.##.....###.###..##.....#..####.#.##.#########.##.#.#......###.#####.##.###..##.##.##.#.#####...##....###.#.##.#######.##..###...#.#...##........##..#.#........##...##.#.#.#..###...#.#.##.#..#.#.#######....##.####.#.#.##...##
#..#.###.###..#.#.#...#.#####..######.##.###.##.#.##..###..##....#.#.#.#.############.#.##.###.##.##..#####.#.#...#########..###.#####.#.##......##..#.##.####.###############........##..####.##.#####.##........################.##....#.#.....#####.#.#.#####.............#.##.#..####.##..##...#.###.#......#.##########.#......#.......#.####...#.###.#.#..####.#.##..###.#.##.###.#..#.#..##.#...######.##.###...##########.....#..###.##.#..##.#.....######.###.####....##....#..####.....####.##......###.#...###...#########.#.#####.###.##.#..###.##.#...##.#####.###..###.##.#....##...#.##...##..#.######.##
##.###.....########.#....#####........#..#......#.###.#.#.##..##.#####.###......#.....#.#..#...#..#####.#.##########.###.###.##...##...#.#..##.#.#..##.#...##...##....#......##.#.#.#..##.........#.############.##.#.#.......#.......##.....##.##.#...#.#..##.#############...##.##..#...#..####.##.######.###...###.#.##...##.#.#.####.#.##.#....###.........####..#..##.#...#.##.##..####.##..####.##...#######.######.........##.###.#...#..#.##..#.##.##.#....##.....####..##.#.#.###...#.#.#.....#.##.#..#####.##...#...##......###.....#....###.###...###.#..###.....####...#######.#.###.##..#.#.###.#..#.###..#
#....##.#.##........#.##.....##.#.#.####.#.#.##...#.#.....###.#####.###########.#.#.#####.####.#.##.#......#..###......#......###..###...##.#..####..###.#.##.#.##.##...###.###.########..##.##.#........###.....##.....#####...#.##.###.#.#.#####...#.#.####................#.######...#.#.##....##.#..#####.###.#.#.#.#..#############.#.######.##.###.##.##.##...##.#######.###...##.#....##.##.....###..##..#.......####.##.#..###.#####.##.#..#.##.#####...######.##..##..##..#.#.#...#.#.######.##.#..##.#.....##.#.##.##..#.#.##...#.####.###...##..#.##..##...#####....#.#....##.#.###...###.#.#..##.##.....##.#
#.#.#####.##.#.#.##.######.#....#####....#.######.....#.#...###.......#...#.##....#####...##...####.######.#.##.######.##.###.#.##.#.###....#.###.#.###..#..#.#..######.#.......#........###########.#.#.....##.####.##.##..########.##..#.###.#.###.#.#.#....#.##.#.#.#.#######.##.##########.##..#.##..#.#............####.............#..##....##.#...#..##.##.#..####.##...###.#.##.#.##.#..#####.##.##.###.####.##.##.###..######..##.#..#.##.###..#.....###.......######.###.#.####.##.#####....##.#.##..#.#.#.##.#.##..##.###.##.###.###..#######..##..##.##.###.....#.##.##.#....#.##..#..######.######.##.##..#
#.###.#....###.######...##.##.#.#.....##.#.#...###.#.##.#.#..########.###......#.####.###.#..#####...##.##....#.#.####.####..............####.#.....#...##.##.##.#......####.##.##.#.###.#.##..#.########.#.######.########..###.#....##.###.........###.#.#.#############.......#.....#.#.#.#####...###.#...###.######..###########.##.#####..#.##....#.#.##..##.##.##.#.#..#...#.#.##.###..#.##.....#...#..........#......######.#.#.##....####....#####.##.#...#.#.#...##....##.#.#.....#.##..####..###..######.#.#..#..#.###.#...#..###.#...##.......###.##..##..#####.####..##.###.##..##.##....##....##.#.##..##.#
#.##..#.######.#...####....####.##.##.##.#####.....#..######.#.#.##.#.#.##.##.#####.......#.##.....#.......##...........##..##.#.##.#######...#.#.#.###.##..###########.#....#...######..#..##......#.#######..#.#.##.###.##.......#.#####...###.#.#.##..#.###.##.#.#.#.########.###.#.....#..##.###.......#..####...###.#.######....##..##...####..#.####.##.##..#..#......###.##.#.#..####.#.##.#.#.###...##.##.##.#.##.#...###.........##.##...#.##......###.#.###.##.##..##.##.######.##.###...##.#######......#.##.#.##.#...##.#####.#########.####...#.###.###.#.#.....##.##...##..##.##..##.#.##.##.##....#.##..#
#.###.####.#.#####......####....##.#..#....####.##.#####.................########...#.###.#..##.#.#####.##.#..#.#.##.##..##..#.#..###.......#.###.#.##..##.####.##...#######.#####......###....##.#....##..###......#.#....#######.#....##.#.#...######.##.##...#.#..................#####.#.##......####.##.##.####..............#.###.##..#..####.#.#.....#.###.##.#.##.#.##...#####.##....#.##.#.#######.#...#############...###.##.#.##..#..#.#.#..##.#.#...###....#..##.##.#####.###..###.#.#..........#####.####..########..###.##...##.###...##...#.#.#.....###.###.#..#.###.##..##..##.##..#..###..#..#.##..##.#
###...........#.#..#.#######.#.##..#.###.###.#####.###.####.#.#.#####.##..##.#.#..#.#.#...#######.#.....##.#.##.#.#..###....##.####...##.##.###...#.#..##..#.....###.#.#.#.#####.##.##.##.##.#..####.#..##..#######.#.####.........#.#.###############..#..##.#...#####################....#....####.#....#..#.......#.#.#.#####.####....##.####..######.#.##..##.#..#.#..#.#..#..#..###..##.########.......#######.####.#.####.###.#..#.##.###.#.#.##.##.#.#.#.##..#.###.#####..##.......####.####.#.##.#.##.....##...###.....##.###....#......###.###.##.#.#.#.#####.....#.##.#...#######.####..#####...###.#..#.##..#
#...##.##.###.....#####......#..####.##..#.........#........#.#.###.#####........##.#.##.##..##...#.###.##.#.#..####.#...##..####.###..###..#...#.####..##.#####............##.#.####..#.....##.##...##.###.#..........###.#####.#.#.###.##.##.....#.############....###.......######.####.####.#....#.##.####.#.##.##########.###############.##........#.##.##..##.###.#####.##...####.##..##..#.###.#.#.##........#..............##.#..#.##..#.#.#..#..###########.#.###.....###.#.#.#.##....#.#.###..#####.##..###...#####.#..#...##.##.#.#......##..#.###.###.....#.#.###..#.#......##....##....####.##..##.#####.#
###.#...#.##########....#.##.#.##.######.##.#.#.##.##.#.#########...##.######.#.##..#.######..########...#.#######.####.##..###...###.#####.#.#.####.####..########.####.##..#.#.#.#..###.#######..#.#........####.###.#.###.....#.#####.#...#####....##..##.#.#####.#...##.##...........#.#....#.#######.#....#.####.#.##.....##.#.#.##.#.....#..####.#.#.##..#.##..##...##...#..###.....##..##.......#.###########...#.#.#.#.##.#..####.####.##.##########.#.#.#.#.....##.#.#.##..#####.#..##.......##..##...#####.#.#.#.......##.#.#..#..#.##.#.#..#.##..####...#.###.#...#.##.##.##.####.#####.#.#.##..##.##...##..#
#...##.####........####.#.#######........##.###.#..#######.#.#.####.##.#......#..##.#.#...###.#.##.#...#.####.#....##.#..##...###.....#.....#.#.#.........##....#...###..###.....#...########.#...#####.##.#.####..#......########.#.....###..#..##.#..##.......##...###.#...##.#.#.#.##.....######.......######.#.......#####...........#####...##..#.#.###..##..######.#######.######.####.##..##.#.##.#..#.##.##..#.###.#.#.##.##..##..##.#..####.#####...........#.###..#.#.##.####...##..##.#.#.####..###.#.......#.#.##.#.##..#.##.#.##.####.##.#.#..##.####.#.#...#######..#...####.....##..#....#.##...##.##..##
#.#.##.#.#########.#.######.....#.#.#.#.##..######.#...#.........#.....##.##.##.###.#####.#..........###.#......##......####.#####.#.##.##.##.#.##.#.#.######.#...###...##...#.#...###.#.##.....####.....###.#....######.##.##.#########.####.##.#####..#######....#.....#.#.##.###.#.###.#.##...#..##.#.###.....#.#####.#.#...####.####..##...#..##...#.##..##..###.......##.......##...##...##.#..#..####.........##...###.#..####.##..##....##......#.##.##.#.#.###...##.#.###..##...#.#..##..###..#.#.##...######.##.#..###.##.##..###..###.##.####.#.##.......#####.......##.##.####..#.#..##.##.###..##.##...##..#
########..##..........##.######...#.#.#..####..##..#.#...#.###.#...###....#..##.#.#####.#.#.####.#.#..##.####.#..##.#.#...##.#.....#..######..######.#.#......#.#######.########.#..##....#.######.########..##.###.#..........#.###.............#.#.#.####.######.##.#.######..#...###.#.#..###...#######.##.##.#.#.........#.##########.####.#.####.##.#..##..##.#####.#.##.#.#.#..###.##.#######.#####.####.#.##.###.####.#.##....###.###.#.##.#.##...#######.#..##.#.##.#..#############.##.##...##...###.######...###.###..##.#..##...##.........#.#.##.#.#.###.....#.#.###..#..##...##.#.###..#..##.##...##.###.##
#.....###.#..######.#...........#####.#.##.###....#####.#####..###..###.####.##...##......#.#....#.##.##.#..###.##..#.#.#######.##.##.##.#...##......#######.##.#........##......#.######...#......##.......######....#.#.####.......###.#.#.#.#........#.#.#.##...##.#..##....###.####.###.##...#.#.#..#.....####.#####.##.##.#...............####...##.#.####.#..#.#...####.###.##.##..##.#####...#..........#.#...##.##...#..####.#....##.#..#.######.#.#.#...#.##..#.##.##.#..............#.###.##..#...###......#.###.##..##########.########.#.#######.#.#.####.##.#.#...#.##.##..#..#.#.##..##.##..##.#.#####...#
###.#.......##......#.#.#.##.##..##...####.#.##.###.#.###.#...###..##...#....##.#########.#####.##.##.##.##.....##.##.#..##.#....####.#....#.##.###.##.......#########.#####.#.#.####.###.#######.##..#.###.##.....######.##...####.##...#.###.#.###.##..........#.##.#.##..#########........##.##...##...#.###.####.....#..##.#.#.#.#.#.#.#.#.##.##.#####...#####...###..##....#..#..##.#....##..#.#######.#.##.###..#.###.###.##...#.#.##..#.#####...........#.#.###.#..#.#..#.#.#.##.##.#.####...##.##.#.######.#.#...#.##.##............##.....###.....#####.#..#.####.##.#########.##.#####..###..##..###.#.....#.#
#.######.#.####.#.#.###.####..##..###.#.........#......##...#.#...#########.##..##.#.......#.##.##.#..##.###.##..#.##.#.##....#.##....#.#.##.#..#...#..#.#####............########....#...#..........######..#.#.###.......##.##....##.#.#.##..###########.#####.###..#.##.##.#.#.#.###.###.##..#..############...#..#.#.##..###.#.#.#######.#.##....#.#...###.#.###.....####.#.####.##..#.#.###.#################...##...###....##.##.#..##.#..##...#.#.##.#.##.#..##.##.#.##.#.#.#.#..#..#.#..###.##.#..###......###.#.#.#..####.#.#.##.######.#..#..#.####....##......###...#####.....#.##....##.######..######.#.#.#
#.##.#######....#.#.#....##..##..##...##.######.##.###....#########.#.##.##.###.#..#####.#......##.##.##.#....##.#.##.#.#..##.#.#..#.##.#.##.##.##.########....##.#.#.#####.#.#..####...#.##.#.#.#.#.##.....######...#.##.###########..#.#.######...#....###.....########..#............##...#######..#.##.#..###...##.#.#..##...#.#.#.......#.#..##...######....##..#.#..##..#....#####.#.#...####.......####.#...#.##.#.###.#.##..#..#.##..##.#..#.###.##.#.#..#.###..#.#.#..#.###.##.#.##...###...#############..##.#.#.##..##..#.###..#......##...#####...##..#.##.#...#.#...##..#.#.#.###.#......#.###...##...#.#.#
#.#.....#.#..##.######.#.##.####..##.######......#####.#.##..#.#..........#...####.#.....##.#.#.####..#..#######.#.##.###.##..#.####.####..#..#########.....##.####.######......##.##.#.######.#.#.#..#####..##.###.##.#..##..........######.#....#.####.####.##.#..##########.##.#.#.#.######.#.####....#.##.#####.##.#.##.###.##########.#.####.##.####...####.##.##.#.####.##.#.....#.#.#.#.##...#.###...#....#.#..#.###...#..#####.########.#.####....###.#.##.#.#.####.#.##.##..####.#..###...#.##.....##.....###.#.#..#############.###.##.##.#.#.##..#.##.####..##.##.#.#.##.##.#.###...##.#.#.#...#.#####.##.###
#.#####.#.##..#######..#.##...########....###.#.##.....#.###.....##.#.#.#...###......#.#.####.#.#....##.##.......###....############...##########.#.#.#.#.#.##.#....#....#.####.....###.##..#..#.######.....##..#....####..######.#.#.#...##.##.###............#.##...#.###.#..#..#.#.#.#.##..........##............####.#...##.##..#.##...###....#.....###..........#.#.##.#.##.##.########.###########..#...#.##.#.##.##..#.#.##.......##.....#.##...#.##...#.##.#.....##.#..#######....##..####.#..#####.##.##.##...#.#.##...#.#.##.##.###.##..#.#...###.####..###.##...#.#.#.#..##.#.####.#########.#......##..#...#
#.##.#.......####.#...##..#####.###.#####.....############...#.#.##.#.#.#.#..####.#.######.#..###.#.##..###.##.#.##..#.###...........#..##..#.#.......#############.####.#.##.#.#.#.....###...#####.#.#####.###...####....##.###..###.#.#..#.#####..#.#.#.##.#.#..###.........#####.###.#....#.#####.###.#.#.####.#.#....###.#...##......#...####.#.#.#.###.##.#.##.##.####...##.##...#.#.#..##......#.##.###.#.##.#.##.#..####..##.#.##.##.#.#.#####.######.##.#..#.##.##..#.##..#######..##..##..#.##.........#####.#########........#..#...#..##.##.##.####...##...##.###.#.####..#.###............#.###.#.##..##.###
#......#.###.#......#.##.####.#......###..#######.......######.#.#..#.########.####.#.#.##...##...#.#..##...##.###..####.##.###.#.#.##.####.#...#.###.##...#.#..###.###..###....#.###.#..###.##.......#..####.#.#.#..######......##...####.#..##...##.###.##.#.####...#.#######......##.##.###########...#.#.#....###.#.###..##.########.##.###...#####.#...##.#.#..##..#.###.#...#####...##.#######.#.######.#..###..####.##...##..#.#..##.###.###...##...#.####.##.#..#########.........####.#..##.#..#.#.#.###.......#.#.#...####.#...####.#.##..##.......#.#..##.###...######...####...#.##########.#...###..###...#
#.#.##.#.#...#.#.##.#.##.##...#####.##.#####.##.###.###..###...####.#.#.............#......###..#.#.##..###..#.#...###.......####.######.#..#########..###.#.##.#.###.##..#..#.##.##..#.##...########.#.##.#..######.##..####.#.####.####....#####.#..#....#.#.##...######......#.#.###.##.#...........#.#.#####.##...#.#...######........###...#..#..#####.##.#.##.##.##.....#.#.....###.####................#.###..###.##########.#.##.#..###...######.#.....##..#.##..####...###.#.#.#.##...#.#####.######...###.##.##.#.#.#.##...##.###...#..####..#.#######.##..##..####.#.###...##.#.#..........#####...##.##..#.#
#.#.####.#.#.#.######..###..#..#....##.#.#.......#######.#...#.##...#############.######.######.#.#####.#...####.#.#...##.##..######.....##.#.##.##.##...#.#.#.........##...#######..#########.#.#.#.......##....##...##.#.######.#####.##.#..#.#######.#.#######.####.#.##.#.#.#.###.######.##.#.#.#.####.#.....##.#.#.##.##......##.##.#####.###...##.....##.####.##..##.##.###.#.###........#.##.#.####.##.#.##..##...##.#.#####.###..####.#####.##.####.#.##..######....#.#.....##########.#....####.#....#####.#..##.....############..#.##..##..##.#...##...##.###........##..#..#.#.##.#.###.###.....#..#..##.###
#.#....#.#.#.####.....##...###.####.##.#.#####.#..##.....##########.##............#.......##....#.##.######.#..#####.#..#######......###.#.............#.....#########.######.##.#..##.#.##.#........#.#.#######....#........#.#...##.#.#####.#.#.#.#...###.....###......##.###.#.#....##.#..##.###.###.########.##.#.#..#.#######.##.##.##......##.#######.#..##....##.##.##.#...#...##.##.##.########....##.#.###.####....#.#.##...##.###....##.......##..#..##...##...#.######.####.#.......##.#..##....#.##.....##..##.##.##.#####.#...##.#..####.##...#..##.##..#...###.#.##..##.##.####.#...#..###.##.#.##.##....#
#.###.######.#..#.#.#########..................##..#####.............#######.#.#.##.##.#.#####.##.##...##.....###.#..#####..#...######.....###.####.##.##.##............###........##.........#.########.#.#.###.#.###.#.#.#.#.#.###..................#...#####.#####.##......#######.##....##..##..##...........##.#.#.####.#.###.#..##.##.##.#.#..##......##..###.##..##.#..##.##.#.#..####...##.#.###.#.#..#..####.##.##.....#..#..###.##.#....#.##.##..###..##.####.##..##.##.#......##.#.###.#.##..#.##..##.#.###.#####..##.#...#...#.##.#.#########.#####...##.###...###..##..#.##..##..##.###...#.#..####..##.#.#
#..##...##...##...#.##.#.#....##.#.#.#.#.#.#######.......#.##.###.#.##.......########..#..#.#####..#.#....#.###.....####.##.##############.#....######.#...##.####.####.#...##.#.#######.###.####............#.#####.#######.........#######.##.##.##.###.#...#.#...########.###.......####.##.####..###.#.####.#####.###.##.#.#.#.#.##..##.##.#.##.###.#.#.##.##....#####.#.#####..######....###........###.###.#.......#..#.#...#######.##.##.#.#.#..###..##.###..##..#####.....#####.##..#...#.#..##.#.###..###.#...##....###...#...#.#.#..#.####.#.##.....###.##.###.####..##..##.##.##..###...###.####..#.####..#.#
#####.#..#############.#.###########.###.#.#.......###.#.######...######.##.###.#.####.#.##.......#####.#.#.#...###.#.....#.#.#............#.####......##.#####....##.....######.##......#...#.###.#.#.#####....#.##.#######.#.##.##.##......##.#..##..######.#.###.###....###...#.#.#......##.#....##...#.#.....##...##.......#...#.###.##.##.######...#.########.#..##.#####.####.##.##..##.#...##.#.#.###.##..#.########.#.##.##.......####..#.#.##.....##..##..####..##...#####.....##.##.######.####...##.##..##.##..####...###.#.#.#.##.#..##..#....############......##.###..#.#...##...###...#..####......##.###
##....##.##..............#.#.#..#..##########.#######..#####.####.###.....####.........#.####.#.#..##...#.###########.#.#...#.###.########.#.#....####.#..##.########.##.####.#...####.#.#.#.#.....#.####....##......#.#.#.#.###...#..##.#.#.#..##.#####.##.#...###.#.####...###########.##.############.#.###.#..##.#####.###...###.#...##.#..##..##.#.####..#.#####......##.......##..#.#######..###.###.#..##.#######..###.##.##.#.###...#..#######.##.####..##.#..##..#####.####.##..#######.#.###.#..#..###..###.#####....#.##..#.###.#..##..##...##........##.###.#.#.#..#.##.###.#.##.#.##..####..##..###########
#..##..########.##.#####...#.##.#.###..##.#.#######.##.##.....#...#...##.##....#.##.##.#.#....###.####.#####.###......#####.......#........#.#.#.########.#....###..######....##.##....#.#.###.###.#.#....#####.#.##.........####.##.###############.#.#.#..###.#.#.#......###.##.#......##.#............#.#...#.#####.######..#.###.#.#.##.#.####....#.##.##...#.....##.#..###.#.#..##.....###...##...##....##..#.....##......####.###...#...###......#...##..###...##..###..........#.###.........#....###..##.##....###########..##.##..##..#######.##.#.##.#.##.....#.#.##....#...###..#.#.###...##.####....#.#.##.#
#.####..##...#######.....#..........##..#.#.##..........#.#.#.#####.#..#.###.#.#.#...#.#.#.##..##..#.###.#.......###.###....##.#.#####.#.#.#.#.#.#....#.#####.##.##.##.######.#..###.#.#.#.##..#...########.....#########.##...##.##.#......#.#........#.##.........######........###.##..####.#.##.##.#.#.##.#####.##.#..#.##.#.#...###.##.#...#####.#.#.....#...###..#.#.##...#.##.###.#.##...#####.##..#.##..##.#.#..#.##.#....#######.##.###..####.##.####.#.#.###..##...###.#.####.#...#.#.#.#...##...##.#######.##........###.##..##.#..##.......##.#.########.##.#.#.##.##.######..##.#...##.##..##.##.###......#
#....##..###.........##.##########.####.....##.######.#######.......##.#..####.###.#.#.###..####..##.##....##.##..####...#.##..###.....#.#.#.#.####.#....#.##.......##...###....##...#.#.###..########.#....#.#..##.####..##.##############...###.#.##....#####.###.#...#..#.#.##.....#..###...#.#...##########.....##.##......#.#.#...####.#.###.....####.##.#.#..##.##.#.#########.#...#.####.##....##.####..###.#.##...#..##.#.#........###.####....##...##.#...####..#########...##.#.#.#.#########..#..###.####...######.#......#.######..####.#.##..#..##.##...#..###..###...#...##.########..###.##........####.#
##.#.#####...#.###.#.#..#.............#####..###.####....##...####.###.##.#....#...#.#####.####..##.....#######..##....#.#####.###.###.#.#.######.######......#.###.##.###.##.#.##.###.#####.###.........######.##.......##########...#..#..#.....#####.#..########.###...##.####.#.#.##...##.####.####.#.##.######.......#.#.##.#.#.#.##...#.#.##.#.##....#..#.##.#...#.#.#.....##..###.#.#..#######..###.###.#...#..##.##.########.####.####.#.#####..##.#####.###....##..#......####.#.#.#..##.......##.##....##..###......###.#.####.##.####.##.#..##.##.....###.##...#####..#...###........##.##....###.#.##....#.#
######.#.###.#.#...#######.#.#.##.#.#.###.#.###.......#.##..#...##.##...####.#.#.#.####....#..##.######.##......##########.....#...#...#.#.#..##...#.#...#.######......##.....#.####...##....#...###.#.#.#.......####.#####.##.##.###.##...####.#....#####...........#######.##...###..##.#####.####............####.##.#####.##.###.#..##.####....#.###.#.##.#..####.####.#####.#..##...###.##.......##.......#.#.#.#####...#.##..#########.......#...##....##..####.#.###...#.##.##...#.#.#.##..#####..#######.#..#####.#.#.#...#..###.#...##.....#.#######.#.##...##.#...##..##.#.#.###.##.#.##.##.####...####.####.#
#.........########.#.....############.#.....##..##.#.##..#####.##..#..#..##..#.#.#..##..#.###.....##....#..##.#..##...#.###.##.##.######.####....#.....#####......#.##....#.#.#..#########.####.##...######.##.######.#..................###.#..#.####.#.##########.##.......###.##...#####.......#######.##.##.......#.#.....##.##..#####.##...##.#...###.#..##.#.....#####.#.....##..#.#....#######.#####.#.##.#.#.#.....#....##..##.......##.##...#.###.#####...##.#.#...#.#.##.#..#.#####.#########.###.##...##....##########.#.##...###.#####.##..##.....######.#..##.####..#.#....##..#.###...#.#....#.##....#####
#####.#.#..###.....###.#..#.#.##.#......#.#....##..#.##.##......##.#.##.####.#.#.######.######.#######.##.###########.....###...###.##...###..##.####.###.####.#.######.#.###.#.##.#####.####...#######.#.#.#..##.....##.#.#.#.#####.##.##.....####.......#####........#.#.#.#...####.#.....#####...#.########..#.#.########.##...##..###..#..#.#..##.##...#.###.##.##...##....#.#.##########...#.#####.#...#.##.#.###.###.#.#.####....#.#.#.#..##.#####....##...####.#.#.#.#.####.########...#.#............###....####.#.#.##...######.#..........#.#####.#....##..##.#..#.##.#####.###..##..##.#######.##.#..##.....#
#...######...############..........##.#.###.##.###.#.#..#####.###..#..#...##########.#####.#.#####.########.####.#.######..######....#####.############........###.#....#.###.#.#..#......#.#####...........##.#..#.####.#####..##...#...###.#....#######.....###.#.##.###.####.##....#.#.#.###.###......#.######.####.#.....###.######...###.#.#####.##.#.#.#...#..##.#####.#.#.###..#.#.#####......#....#.############...###.######.####.#.##.##.##.#..#.###.#..#.#.###.#.#..##..#........#.#.#####.#.#.#.####.##.##...#......###........#.##.###.#.#.#...#.######..#.##....#.#..##...#.##..######.#....##.##.###.####
##.#####.###.#.#..##..#.##########.##.#.##...#.#...#.##..##...#######.##.##........#.#.#.#.#.###...#.##.......#........###.#.##...##..#.....###.##...#..##.###.##....#.##.#...####...#.##...##.##########.#.##.##.###....#.....##..#.##.##...#.#.####.#######.....#.#####..##....##.#.#######.......####..........##.#...##.##...##.....#.#...#.#.....#..######.#####...##...#.#.####.#.#.#.##..#.##...##.#......###..#..#.##...##....#....#.##.#..#....##.#...##...#.##..#.#.####.#.##.#.#.###.#.....###.###....##.####...#.##...###.#.#.##.#....###...###.#....##..##.##.##.#...##..###.##.###.......#.###.#...##....#
#...#.#........##.###.#.....#......######..#.#.###.#######..#.#..##.##########.###...#...#.#.#.###....#######...#.####.......########.###.#...#....#...######..#..#.####..###.##.###.######.#.............#.#..#..#####.##.###..##.#.#..####.#.#.#............##.####.....####.###..#...##.####.##.######.#.#.#.#.##.###.#..####..##.#.##.##.####.#.#.##.##......#####.##..#.#.#.#.............####..#.##.##.#####.##...##..#.#..####.##.#.#.#..#.##.#.##..#.####.###..####.#.##.############.....#.#..##.#####.#####....#.#..##.##...#.#.##.##.#..###.##...##.#..##..#.#..##.##.####..####....##.##.###.##..##.####.#.#
#.#.....######......#.#####...##.###.#.#..##.###.....##..#######.##.....##...#######.###.#.#.#.#.####.#.##....#######..##.##.#.###.....######...##.##.##......#######.###.##..##.....##.......##.######.#.#.##.#.##.#....#.###.##..###.##.####.############.#.##.##...#.#..##....####.###.....######......#.###.#.##.....##..##..##..#..###.....##########..#.##.#.....###.#.#.####.#.#.#.#.##.##...##.#..#....##.....#..##.######....####.#.##.######..#.####......#.##########.#####.#.#..#######.##..#.#..##.##.###.###.#.##..###.##.#.##.#..##.#....#.#..#.#.###.#####.##.##...##.##.########.#..##...##.#..#.#..###
#.##.#.##......####.....#...#.#..##....##.##.#...##.####...#.#....#####..##.###..#....................#.########.##.##.#..#..#.#.#####..##.###.##..######.##.#####.#...##..##..###.#.##.##.#.##..#......###.##.#.#..###.####...##.###..##...#####...........#.##.#..#.#.#.####.#####..##..###..#.####.#.#.#.##..###..###.#..####.#####.###..#.#.##.#.......####..#.##.##.###.###....###.###.##.#..#.#####.#.##..##.#.##.###.##.....##.#.##.#######.#...####.#####.#.#.##.....#.#.#.#.......##.......##.##.##....#......##..#..##.#...#..#.##.##..#.###.#####.#.#.##.....##.##..##.##.........##.####.##.#######...##.###
###########.#.##....###...#.#.##.#..##.....####.##.....###...###.##.#.#.##..#.##.###.######.#######.#....##.##.#.#..########.#.#.##.##.##...####..##.#.#########.....#.################################.##..##.#.##.....##...#..#.#...#####...#.####.#####.####..####.#.#...######.###########.....#..#.#.#..#####..##...##...##.....####..##.#.#....###.#.#.#..####..#...#######.#.#...#...##.####..##...#.##.#####..###....##.#.#####.....##.......#..##........###.#..###.......####.##..###.##.##..#..####.####.##..##.#.###.##.##.##.#####.##.##..#.##..#.#..##.#.##..##.##...##.#.##.#....##...#...#.##.#.###....#
###.....###.#############.#.#..####.##.#.#..##..##.#.#.#####.##..........##.#.##.#...#.......#########.#.........##..##.#....#.#..#.##.####.#.#..##......#.####..#####..##.#.#.#..#...###...#.#.##.......#.#######..#.#..###.##.########.####......###......####.#....#.#.###........##.....#..###...##.#.#.##.....##..#.#..#..##.#.##....##..##########.#.#...######...#.#.##.#..#####.###.#...####..##.##..#...####...####.##.####.###.#.####.#.#.##########.##..#####..##.###.#...##.###.##..##.##.##.##.##.#.....##..###.##..##.#..#..#.#.#.##..##....#.##.#.###.#..##.##..##.###.#.####.##.##.#.###...##.....##.#.#
#.#####.#.####.#.......#..###.#######..#.#.##..#########.#......##.#.###....#.#..########.#.##.....#.#.####.##.#..##.#..####.#.##.#.#.........##########.....#..#######..#.#.#.##.###.#.###........##.#.##.#.......########..#####.###.#....###.##..####.#.##....###.####..#######.#..#####...##...###..#.#..##.#.######.##.#.##..#..##.#####.##.#.......#.#.#.#.#....#.#.#..#.##.#.......####.##....##..#..###.##.##.#.##....###........#.#.####.###.#........###...##..###########.####......##...#######....##.#.##..####.###..####.####.....###..##.#.#..#.#...#.##..#..##.##.##..#...##..#..#.###...######.###..###
#.###......##..#####.#...#######.#.###.#.#..#####.#.#.#..###.#.##..###...##.#.#.##..##.#..#####.##...#########.##......##.............#.####.##.#.#.########...##.......##.#............#.###.#.##.#..#..###########.#.##.##..###........##..######.#.#..#..########..######.##.#####.#.#.##.###.######.###.##..#....##..##.#.##.##########...##.#######.#.#.#.#...#.##.#.##......###.#.#.#....####.####.#.###..##....#.#..#.###########.###.#.#...##...#.##.#.#.#.#####.##.#...#....#.#..##.#.#######.#....#.#####..##.##....##.###...##...#.#...##.##.#.##.#.##.##..#.##.###.#...##.#.###..##.##.#...#.######...##...#
#.#.####.#..##.##.#########.##.........#.#.##...#...#.##.##..#.###..###.###.#....##......####....###.#..........######.#########.#.#.##.#....................#..####.##......##.###.#.#.......#.###########..#.#.##.....#.##.##.######.#..##...##.......##.###.......##...........#.#.#...#..#....##.....##..##.###########.#..###.###.#....#.##.....##..###.####.##..#.#.###.###.###.#######.##......##.#...#######.#######.##..........##....##.##..#.###..#.#...#.##..##...#...##.....##..#.....##....#.##.#.....#######.###..#...#.##.#.#.#.#.##..#.#.##.###...#.#####...###.######..###..#.##.###.###.##...#.##.###
#....######............##...###.###.#.##.######.###.........##.#...##.####....##....#.##.#....#.###....#.#.#.#.##......#.#.......#.###..#############.###.#.#####....#..###.#####...###.##.#.##.#.#.#..#..##........###....#.#..#....####..###....##.#.##....#.###.##############.#.#.#.#...##.##.###.##..####..#....#.#....#####........#.#########....#######.###..######...#...#...##.......##.#.#.##.#.#.#.......#.##....##.##.#.###..##.#....##.##.#...######....##.#..#.######.#.#.#####.#######.#.#.####.#.#...##.#...###.###.#.##.#.#.#.#####.#.#.##.##..#.#..##.#.#####....##..##...##..#####.#......#.#..#..##
#.##.#..#.#######.####..##.##...##..#.####..........#.#.#.#..#.#####.....###.##..#.####..#.##.#.#.##.#.#.#.#########.#.....###.#.#.######.######.##....##.###.###.#####.######.#..#.##...#.###..#...##.##..#.#.##.######.######.####..######...#.##..#.#..#.######.#....................###.#######...###.########.#.....##..##...#.#.##.###.........##.##.##.......#####...#.###.#.#.##########..#.#..#####.#.#.#.#.#....#.##...#.###...##..##.#.##.#..###..##....#.###.#.####......#.###.........##..#.###.#..#.##.##....#..##...########.###....##.#.#.##.#..##.##....#..##...#####.###.#.##.##.....#.##.#.#.##.##..#
###..#.##..#......#####.......####.##....##.##.##.#.#####.#.############...#.###.#.#.##.##.#..###....#.#.#.#..#.##...####.###..###.#..##.......#....#.######....###.#...#........######.##.##..##.#.....##.#########..#..#.##.#.#.###..#.##..#.###..##.##.#.##.....##.#.##.#####.#.#.##.##..#.#.#...#.#.......##...#.#.#..##..##.##.#.##.##..#######.##.#.....##.##..##.##.##..##.#.#.#..........#####..##...###.#.#.#.####.##.#.#.#...#.###.#..#.#..#.##...####.#.#...###.#.#################.#.#####.#.###.#.##.#..##.#.##.###.###........#...####..######.##.##.##.##.##..##.##.....##..####.##.##.#####.#.#..#.###.#
####....##.####.#.#...##.##.#.##....##.############.##.#..#.#.##.....#.###.....###.#..####.##..#####.#.#.####.#.###.##....##..###..##....#.###...####.#.##.####..#..###.####.#.#..##....##..########.##....##......##.##.#.#....#..###......##.######..####.#..##.##..#.#..#.....#.#.########...#.#######.#.#.#..#.#####.##..##...###.##..#.##..###..#..##.##.##.#####.....###.##.#.###.#####.#.##.#...#####.#...#.###.#....#..###.###.#.#...#.####.##.####.#.######.####..#...................###.....#.#......#.##.#..#.#..##..#...###.######....##.##.....##.####...#####.##.####.#######....####..##....#.#.##...#.#
#....##.#.......#####....##.#####.########.#.#...#.....##.#.#....###.......#######.##....#######.....###.#.......#..##.#.####.#.#.####.#.#.####.##....#.....####.##.#...####.#.#.##..##.#####.#.##.###..##..######.........####...##.###.##.####...###....#.#.##...#########.#.#.###.#...#.####.####.#.#..#.#.##.###..#...##.####.##...#.######.#...###.#..##.####...##.##.#...#..#########...#..#.#.#....##.###.#.###.##.#.##.##....#####.#.#..###.#..#......#.#.#.....##.#####.#.##.#.#.##.#...###.###.##.##.##..####.#.#.########.##..##.....#####..#.#.####.#....#..#..#.##..##...##.##..##...##.##########.##.###.#
#.#####...##.#.##..##.#.##..#......##.#......###...#.###..######.#...#.#.###...#...#####.##.##.#####.###.#######...##..####.#...########.#.#.....##########......##...###....###..##.#..#..............####..###.#########..#####.##.#...####.##.#.....##.#.###..#.##........###.#...###.........#.......##.####.####.#.#.####.##.###.####.#......#.#.####.##..##..#....##.#.#.##.#.........#.##...#.#.#.##..#...#.#....##########.###.....#.##...#.##.##.#.#.#.....##.#####.########.#.#.##.#.###....#####.#...#.###...#.#...###.....##.##.#.#.....##.#.#.##...#.##.#.##.#####.###.#.....##.##.#..###.###.......#.###.#
#####.#####..#####....###..##.##.#.##.######.....#.###...###.....###.###..####.#####.#...##............#####.....#.#..##......###..##....#########.#........####.####.####.#..########.#######.####.#.##.###......#...#.###.#.#.#.##.##.##.......##.##..#.#..##.##..##.#########.#.#############...##.#.##..###..#......###.........#.#......##.###.#.......#.#######.#.#..#.#.#..#.####.##.###..#.###.#..#####.##.#.#.##..#.###.#.#######.####.#.#.#####.#.####.#.##..#.##.....##....#.#.#..#...##.#...##..###.###.#####.#.###.#.##.###.##.###.#.#..#.#.#.##.#.####.#....#.##....###.#####...#.######.....#.##.##...###
##.....##############.##..##########..##.....##.##.##..#.#.#######...###.##.#........#.#....#.##.#.#.#..##...##.###########.#...##....#.##....###....#####.####.......#....##..###.....#.......#....#.##.#.##.#.#...#.....#.#........#####.#.#.#.#..##.#####.#..#..######........###.............####.#..####.######.##...##.#####.#######.#.##.######.#.#.##.##......####.#.#.#.#####....#...##.#...####..##.#.######.###.........#.......##...#.###.##..#.##...#.#####.#..###.#####.###.##.##.##..#.#..##.#...###.......#.#.....#..#....####..#.#.##.#.###..#.##...##.#....#.#.##.......##.##.#..#.#####.#.#...##.####
#..###.#...###.##.#....##..#.#.##.###.######.#..##.##.##.#......####.#...##...#.####...##.#.#.#..###.#######.##.#.#.##.###..#.#.###.#.#..##.#.....#.##.....#....#.#.#.##.#.##.##.#################.####.....#######.###.#.....#.####.#.#.#####.#.#.##.....#####.#####.#...###.#.##...#.##.#.#.#.##....#.##.##...#.##.###.#######......##...###..#......#.#.#..#..####.#....#.#####.....#.###.##..#.###....##....#.#..###.##.############.#####.##.#......######.##..##.....##..........##..###...#.##.#.##..###.#...##.##.#.###.#.#.####.##....##.###..#..##.##..##.##..#.####.######.#####...#.##.........#.##.##.....#
####.....#...#.##.###.####.#.................##.########.######.#.##.#.#..##.##.#....#.#..#.####.##..##.##.###..#....#.....##.#...#############.##########.##.#.#######..#######.#..###.###...#.####.######.##......#...#.#.###.##........#.#########.##.##...####..#.##.######.####.####.#####.####.##.....###......#.###.###.#.##.#.#..#.#...##.##.###.###.###.#....##.###..##...#####.##...##.#...##.#.##.#.##...##......#.......#....##....##.##.#.#.#......##.##..#.#..##.#.##.#.##..##...###.##.#..##.#...###.##..#####...#.#.#.....##.#..#...##.##.#...#.##...##.#...##...#.#......##.#######.#.#.#####...#.#.#.#
#....#.#.#.#............##.#######.#.#.##.#.##...##.##.####..........#.##.####..#.##.#.#######....##.##....#########.#####..########.##....#.####...........###.#.......##...#.#.##.#.......#.....#...##.#.....#.#.####.#######.##.#.#.##.............##..###.##.##....####.##..#....#....##.#..#.#####.###.##..####.#.....#.....##.####.#######...#.#.....#.#...##.#.##.##..###.######...##.##..#.#..########.##.#....####.#.#####...##..#.#.##...#####.#.#.#.##..###.###.##..#.##.#.###.##.#.##..##.##..#####.###.######.######.######.#####.####..#.#..#.#.#.#..###..##.#######.##.########.#.#...###.##....#.#.#.#.#
######.###.##########.###########..#.#..###.#..#.##..#..##..#.#.##.#.#.#..#....##.########.#.#.#.##..#####...####.......#..##.........####.#......#.#.#.#.####..##.#.#.##..#........######.######.##.##....##.##.#.##...###......###.#.##.#.#.#.#.#.###..##......####.##.......###.#.######....##.........#.###.#....#####.###.#.##..#.###.......#######.#####.#..#.#.######.##..#......#.##.###.#.####.....##.#####.#.#....####....#..######..######.##.###.#.#..##.....#######.#..#.#.#.#..#..##..###..####...#...#.###...####...##.##.##.......######.##.#.#.##...#####......##.##....##.#......#.#....####.###.#.#.#
######.###.#...........#.###......##.####...########.#.##..#######.#.####.##.#.#..#............#..####.###.###..#######...#####.#####.#.#..####.#.#######.##...##..#.#.###.#.###.##..###.#.#....#....#..#.##...#.####.###.#.#.##..####..#.#####.#.#...##..####.#.......###############.#######.###.##.#.###.#.#.#.#.##......#..#.#####.#####.##.##........##...#.##.#..##.....##.#####.##..###...#..#######.#..#.....#.#.##.##.###.###.....##.##.#.#......#######.##.######......##.#...####.##.##.####.##....###.#.#.....#......###......##.#.##......######.#####.##.....####.....##.###....##.#.#.##.#.##.....#.#.#.#
#........#####.#.###.###.#...#.#.##..#..#.###.##.......###.#.......#.#....#############.#.####.####.#......#.##.#.#.##..####..#.#.....#.##.#.######.......##.#..####.#.#...#####.###.......####.####.##.#####.####..###.....#.#..##....#####.#..#####.##.#########.###.#.######.###.#.....#.####....#.#...#.#...#########.#...##.#.....#.#...##.###.###.#.##.#.#.#..#.####.####..####...#.#####.##.##.#.##....##.#.#.#.######........##.#.##..##.....#.##..##...#######..#..##.#..#.#.#..##..##.##.##...##.####...#.##.#.##.#.##..###.#.#.##.#..###.######.....##...##.###....#.#.#.##...####.##.#.#.#..#####.#.####.#.#
##.#.#.#..##...#.#...#.#.##.####..##.##.#.#...##.##.##..##.#####.#.####.#.#.....###.##..#########.....####.#.##........###.##.#######.#........#.##.#.###..####.#....#.######......##.#.##.#............###.#######.##..#.#.#.##..####...##....###.##.#..#.........#.............#....###........#.####.######.###.....####.#..###.#.#.....#..#..##.#...#.##.#.#.#.##.#..#######.#....#.#.##....##.##...#..#.##..########.##..#.##.#..###.##.###.#.#.####.#####..##...##.#######.##.###.##..##...#..##.#####....#.######.#..#.#..##.#.#.#.#..####......#.####.##..#..####..#.##########.##....#..#.####.##..###...##.###
#..#.#.#.####.##.##.##...#####...##..#....###..###..###..###.....#..##..#.#.###.....######...##.#####.##......########.#.......#.#......####.#....########.########.#####.....#.##########.##.#####.#####.#.####.#.....##.#############.####.#......#.##.#.#.#.#####.#.##.#.####.####.####.##.##.#..##...###.###.#####...#..##..##.#.###.#.#.##.#######.#..#.#.#########..#......#.#.##.###..#.##...###.##.#..##.##.#.##.....##.#..#.##...#..#...###.##.....####..###......##....##..##..##.###.#####...##...##.#..##....#.##.##.#....######....####.###.##....##.#.##....##........##..###.####.#.####....##...#.##...#
#.##.#.#...###########.#..##...#.###.##.######..###..###...###.#.##..##.#####.#####.#.###..#....#......#####.##.##.#...###.#.#.....#.####.#######..#.##.####.#......##....###.###..#.#...######.....##....#.#.#..#.#.#.####..#.............####.#####.########.#.....#########....#...#....#...###.##..#..#..##..###.###...####..#.###...#.#.##.#.##....#.##.###.....#.##...##.#####.##...##.########......#.#####.......#.#.##.##.#..#.#.##.###.##..#..##.##..##.#.##.#.#....##.#..##..###.#.......##.####.##..#.######.#.#..#..####....##..#.###.......##.#.#####.###.#..##.#########.#.#..#.#.#.#.#..#.##..#.#.##.###
#.##.#.#####....#.#....##....#.#...########.#..##.####.##.##.############..#..............##.##...##.#.###....#......#.##..#.##.#.####.....##.####......#....####.#..##.###.######...###....#...#.#.#####.#.#.##.#####....##.#.###.##.#.#.###.......#.#.#.#.##.####.###.##.#.##.#...####.#.#.#.#...##.###...##..##...##..#.#..##.#..####.#.#..###....##.###....#.#.#......#######.##.###.#######.#######.#.#.##....#######.#.####..#.##.#.##.##..##.##########.........####.#.####.####...#.##.#.##.#..##...##.##.#......#.##.####....#.###.##...###.##.#####.....#..##.##.##.......##..#...##...#.#...#####.####..#..##
#..#######.####.....##..##.#.####.###.#.....##.#..##.#.......##.##...#.###...#.##.#.#.###..#####.#######...##.###.#.##.#..##..###.#....###.........#.##.##.#.#.##.#.######...##..###.####.#...#.#####..##.#.#.##.##.#..#.###...#....#.#.#.#...#.#.#.#.#........#..#.#......#....###.##.#####.###.#.##.#...#####..###....##...##..#.##....####..##.#.##..#...#.##.####.#.#.#............#.##.##......##...#.#..######.......###.#..##..#####..##.######.......####.##.#..#.###..##..##...#.#..###..#.##..##.##..#..##.#.#.###..#....##.#.##...##.##....#.#.....#.#.#.##..#...##.####..##.#.######.#######.#.#....#.###..#
##..##........#.#.#.#..##..#.#....##..#####.##.#.##....##.##.#...#.#.....###.###..############.####...#######.##..#..####.#..##...##.#.#...##.##.#.####.####......#..#.#...#..##..#..#.#####.####..###................####...#.###.##.#####.#.#.#.#.#####.#######...####.#...#.##...#..##....#...#.##.###.#####.##.#.##.##.#######.##.##.##...##..#..#####.##..#.##...#.######.##.#.#.##.##....#.##.#..#.#.##.#......##.##.##....######..#..##..#....###.#.#......##.####.###.##..##..#.######...##..##.########.##..#.#.#...###.#.#..#..###.#...#.#.#######.####.#.###.##.###....#######...##....##.........##.#.##..##
#..####.#####...#.#.##..########.####..........#.##########....#.#######.##..#...##......##....##.#.###..#.......##.###...##.######..#.#############..#.#.#..#.#.#####.#####.####.##.#.#.#.###.###.....####.#.##.#.##....#####.##..##..##...###.#.####....#.....##.##....##.#######.##....#.###.##.##..####.##..#....##.#....##.....####.##.#.##.#####......##.########.#......##.#.#.##..####.####...##.#.#..#.#.##.#####..##.#.....###.##.###.#.##.....#.#####.###.#.........#.##..##....#.##.#########.##.#####..##.#.##.##...#.####.#######.##.#......##....###..#####.##..##.....####.####.#..##.##.#.#..###..##..#
####.....##.##.##.###..###....####....#.#.#.##.....#.########.#####.##....######.#######.#####........##.##.##.#.####...######...#######....##.##.###.....##.#.###.#....###....#..#......#.#.......##.#######.##.#..#.#.##.....###..##..#.#..##.###....#####.##.....##.#.#..##...#...##.#.#.#...##..##.#.....##.#.#.##..#.#.####.#.##....##.#.#..#.#####.##..#.###......####.#.#..#.#.#####....##.#.####.####.#.####..##...##..#.###..##....#...#####.##.###.....##..##.#.#.#.##.###.#..#.##.....#...##.........#..##..#.#..###.#####.........###..###.#.####.#...##.#.....##.##..#.#.#.....#.#.##..####.#.##...#.##..##
##########......#.#...##.#.##....##.#.#.#.####.#.#.....##......##....####.#.#..###........##...##.#.#.......##.###.#..#.##.#####...#..#..##...........#.#....#####.####...####.##.#####.##.#####.####.#....#...#.##.#.#..##.##.#...###.#####.##...################.##########..#...###..#.#####..#########.#......####.##.#..##..#.###.#.##.####.......####.####.#.##.#.#....#.##.#.###.....#.##.....##..##...#.##...#####..####...######.#.##.###....#..####.##..##.####.###..#..##.#.##.#..#.#...#######.#.##...####.#.#.##...#.....##.#########..##.###....##########.#.##..##.########.##.#####.#....#..##.######..#
#......##..##########.##.#####.##########.#....#######..######..####........#.###########..######.###.#######......##.#.#..#.#.###.##...############.#####.#.##....#....#..#............##.#.#.####.######...#.#..###.#.##..##.#.#.##...##...##.###.......##.......#...###....##.#..##.##.##.#..##...#.....###.#.###...#####.##.####.###..#.#....#.##.##......##.#########.#.###..#..##.#####.#..#.#.##.####.######.##.....##....#....#.###.####...#.###.#....##.##..#....##..##.##..#.##.##.#.#.#..##..#..#.#..#..##..#.###..#.#.##.##......##....##...##.##..###.##.##.#.##.##.....##..........##.##.#.#.###.....##.##
###.##....####..##.####...#.#...##.#.#.##########.#####........##.#########.#..#.#.#..####...##.#.######......#.#.##..####............###.##...#.#.#.#.#...#..##.#...##.##...##########....#.#.##.#.##.....#.#.#.##...#..##.##.###.##.#.####..#.##..#.###.#..###.#.##.##.####.#..##.#######....#####.#######...#.#.###...##..#...##..#...####.##.#..#..####.####.##.##.#...#...##.##.#..##....##.###.##....######...#####.####.#.#.#.##.....#.####.#.#.###.#.###.#..###.#.###..#.#..##..######.###.####.#######.#.####.#..#########..#..#.##.##.##.###.##..###.....##....####.##.###.#..##.###.###..#..#.#.#...##.###.##
#########.#..##..#.#....#.....#..#.#.#.#.##.####......######.#..#.#...##.##.##.#.#.##......#..#.###.##.#####.##.###..###.###.#.##.##.####.#..#.........##.###.#..##.########.#..........##.............#.#.#.###.####.##.##.##.#...#..###....##.##.##.#.....########..##......#.##...##..###.#.##.......###..#.###.....#..#.###.####...#..#####..#.##.####..##...........#.##.##..#..##..##.###..#....#.#.###.#...###.....##...#.#.#.##.##.##....#.###.###.###.######...#...#.#####.#..###.....######...####....#....#.#.##.###..#..###.#..#.##.##...#..##.#...###..####....#.#..######.##..##..###.##.#.###.#..#.#....#
#.........##..##.#.##.###.#.####.#.#.#.#.#.....######.###..####.#.###.#..........#.#####.#.##....#.....#.###..########.......#.#..##.#......###.##.##.##..#.####..###.#......##.##.#.#.##..###.##.#.#.##.###.#.....##.#..##.######.##...##.############.#.#.##..#####....##.#######.####.....#.#####.##.....##.##..###.#.#####...##..#.##.....##.#..#.#....############.##.############.##..##..##.#.##.###.....#...###.#..###.#.#.#.#..########...##..#.#.#....#.#...###.###.#..##.##...###.#.#..#.###.#..####.#.#.####.#....##.#.##.#.#.##.######.##.##..#.#..##.###...#.#####.....##.#..####..##.####..####.##.#.##.#
#.##.#.##..##..#.#..###########......#.#.####.##........##.##.#.#.#.#...#.#.##.#.........#.###.#...#.#.......##...##########.######..##.###.#...##..#######.#######.....###.######.#.#.#..##....###.###..##..##.#.##..##..###.#.....#.#.##...#.#..#.###.#.#####..#.#..##..####.#.##.########.###......##.##.######.##..#..##...##########.##.##..#.##.#.##.##.##.##.#...#...##.####.#...##.####.#..#.##.##..#.#.#.#.##..#.##...#.#.#.#.##.#.#..#######.....#.##.....###...##....##..##.####..#.##...#.#.##.#.##.#.#.##...####......##.#.####...#.##..#..##.#.##..#.##..#.#...##..#.###..##....##.##..##..##....#..###..#
#.#..#####.###.#.##..##.##.#..######.#.#.#.##.#########..#.##...#.....#.#.#.#####.#.#.######.#####.#.##.#.#.#####.#...###....#......###########..#.##...###.#.#.....#.#######.#....#.####.#..#.####.##..####.##.###..####..##...##.##.###..###.##...#.##########.....#######.........##.......##.##.###..#...##....#..##.#######....#.#....#####.###..###..##.........#.#.#.#..#......#.##.##.######..#####.###.#.#..##.#.#..#.#.###.###....##.#####...#.#.#.#..#.#.#...#..##.#.###.##..##..##..###.............#.#.##.#.##...#.##.#.......#.#...##.######.#.##.##.###.###.#######...#.##..####...##.##.#####.###...##.#
#.##.##..###.....##.##..##.#.##..................#..####.#.####.###.#.#.#####.##..###..##..........####.#.#.#..##...#.....#.####.####.#....##...##.####.........#.###.#.........#.##.#..########....#..###.#.#..##..###...#####.#..##.######...##.#...##.##.##.##.##.#.......##.#.#.########.###########.##.####.####.##.#..##...##.....##...##....#####..######.####.#.###.##...#.##.#.##.##........####...#...#.#.##..#.##.#.############.#........#.#.#.####.#.#.#.#.#.###.#..#####.####.##.#####.######.###.#.#..#.#.####.#.##.###.##.##.#.#.#.......#.#.#..##..##.#.......##..#.#.###....###.##.#....##..##..###..#
####..##..#..#.#.....##.#.......#####.#.########.##......#.#.#......#.#.##.......##############.#.##....###...##..#.#.###.###.#..####.####.#..#.####....#.#.#.###.#...#########.#.##.##....##.#..##.####.#...##..##.#...#.....####.#..#..#####.#..###.#.....#..##.#####.##.#.##.#.#.#........#.##.........####...##...#....###.#.####.#.#..######.####.####.##.###....#..######.#####.#.##.#####.#.#....###.###.#.#.#..#####.#####.##..#......####.#.###.#.##...#.#######.#.####..##......#.#..##.....##....##..####.###.#.######..##..##..#.#.###.##.####.####.#..######.#.##.##.##.###...##...#.#..#.####..####...####
##.#.####.##.#######.#....###.#.##....#.##........######...#.##.#.###.#..######.##......#####...###..#.##...#####.##########....##...........##...#####.#######...###.#.........#..#####.#....#.#######....#.###.##.#.#.##.#.##....#####.#.##..####.#.###.#...##..#.#...#..####.#.##########...##.#.##.#####.###.##.###.#.###..#.#....#.#.###.....##...............#.##.##.#..#..##...######.....#.##.#.##..###.#.####.##....##.....##.###.#.#####.#..##.#..##.##.##.........##..##..#.#.#####..####.######.###...##.###.#........###.####.#.#.##...#..###.##...##.....##.#.#####.##...###..#.#.#.##.#.#....###...#....#
#....##...#..#.........##.#...#.#..#.##.#######.#..###...#......#.###.#####......#.##.#.......#.##..##.##.#...#.####.#.......##..##########.##..###......##.....#..######.#.#.#.#.##..#######...#.......##.#..##..#.###..#.#.##########.....##.###....#.#####..####.######.#....#####.....##.########..##........####...#...##.#.#.##.#.#.##..#.#..###.###.##.###.##.#####.##...##..#......##.#.##.##.#.#####...#..##..###.#######.##...####.#.....#.##..#.##..##.#..##.#.##.###..##.#.#....##.###....##....#...####...####.##.####.#...##.###..##.###...#..##.####.#.###.#...##..##.#.##..######.##.#.##.#...#.###.#.##
#########.######.###.#######.##.####.####.......##.....#.##.#.#.###....##.######.#.##.##.#.#.######..######.#.#........###.#..##.##..........##.#######.#####.#.#.##.##.#.#.###.#####.#.#.....#.#.#.##.###.#####.######.##.###...#......#.#....#.####.#.##..##.###..##.#.#####.####.#####.....##.##...####.##.##...####.##.###.#.#.##.#.#..##.#.##..##.#...#..##..##.#........#..##.##.#.####.####.#..#..###..#.#.####..######.#.#.####......#.#####.##.#####.######..###..#...#.##..########..#...##.#..##.#.#.###..####.#.#..####...#.##.##..##....#.#.####....##.#.#...#.###..#########.....##.#..###..##.##.#...####
#..........#.....#...#.......####....#....##.##..##.#.##..#.###.##..#.##...##....#########.###.#....##......#.#.##.#.#.#...#.#########.##.#.##..#..####.##....######....#######.##........###.#.###.#....#.#.....#.#....##..####...##.#.####.#....#......##........##....##.#####.........#.#.##..##.##..#.#..#..#.#.##..#.##..#.###..#.##..######.##..###.#.######..##.#.#.#.#.######.###.#..#....##.##...####.#.##...##.##...#...#.###.##.######....#.##....#......##...######..##...###.#..###.######.#..#.#...##......####.#....#.###...##.###.#.#.#....##.#.#..#.#.###...##....##.....########.##...##..#..###....#
##########.########.####.#.###.####.############.##.####.####...#..##.##.#....##..##.......##....##..##.##.######..#.#.##.#####.#.......###..#####.......####.##.#.####.##.##....##.#.#.#######..##.##.#########...####..#.##..###########.######...#.##....######.#####......#...###.##.##.#..##....###.####.#.##.#....####..#######.#.###...##....##.#...#.#......##..#######....##...##.##.#.##.#..###.##....#.###.##.....#...#.......##.#......#.##.###.#.###.#.#####......######.##.....##.####.#...##.#.#.###..#.##.##...##.#.#...##.##...##.#.#.#.####..#.##.#.#.#...#####.#..#.#.#......###.##.############.##.#
#...#......##.###.####...#.#.........##...........####.....###.###.##..######.###..#.#.#.#.###.#..##.##.##.#......#########.#.....#########.####.####.####..#.##..............############...##.##..##...##.#....###....#####.##.###.#.##...#.#.###.#.###.#####.......#######...#.#####...##########..##..#...#..####.#....##.#.......#...##.####.#..#.#.#.######.#..#.#####.##.####..#.##....#.#..#.##....##.#.#...############.######.########.#.#..###.###.##..####....#.######..#.##.#.#.#.........#.##.#.#...#.##..###..######.##.##...###.##.#.###....##.#..#.#.###.#..#.#..##.######.#.#...####.##..##........#.#
###.######..#.#........#.#######.#.#.########.##.##....#.###.###...###.###....#...######.#.#.#.##.#...#.######.##.#...........#####...###.####.#.##.#######.#..########.##.##..########....#....##.###.#.#....##.#...##.#.#.#.#.........##.##.......#.#...#.....##.##.#.##....#.#.#..###.###.#.......####...#.######..#.##########.##.######.##.###.########......#######.#........##.#..####.#.##.#..##.#.#..#.##.##..#....#.##.###....##.......#.##..##..##.#..##..######.##.#.##....###.#.#.####.#.##.##.#.#.#####..#########....##.####..##.##.#.###.##.#########.##..##...#.######.#...########...###.#..#.##.#.#.#
#.......###...#.#.#.##.#.#####...#####........#..#..##.#..##.....###...#.###.###.##...##.###...##.##.####.###########.#.###.#.##....#......##..#..#.##...#..#####.###.#.#####.##.##.#.##.###.##.#####..####.#.#####.#####.......######.###.####.#.#.###.#.##.#.#####.......####.#.##.....##....#.#.#.#####.##...##...##...#.###....##.##......#.#....##......##.#.#...##....#.#.#.###.#.###...#..###.########.###...##...##......#...##..#.#.#.#.#.###..##....##..##.##...........##.#..##.#######..#.##.##.#.#..#.#..##.........##.##..##..##..##.#.#.#..#...#.##.....##..#.###....##....#........##.##.....##..#.#.#.#
#.#.###...###...#.#.##.###.#...#.##....#####.##.##.##..##..#####.#######.....#.#.#..#....#...#.##.####.....#.##..#.######...#.####.###.##.####.##....###.##.##.#..#.....#.....##.#.......##...###.#...##....#.#.....#..###########......#...#########...#.##.###.....#.#.###....########.###.#.#####..##...##.###..#.##.###.#.####.#...#.#.#.##.##.####.#.##.####.###.#..#.##.#.#...###...#.#.####....#.#.##....##.##..#..##.##.###.####.#####.#.#.#.##.#####.##.##.....####.##.####.##.####.......##.#..#..#.##.#...#########.#.##.#..####..##.#..#...##.##.##....#.#.#..##..####.######.#.#.#.####...###.#.##.####.###
#####.###.....###.###..##....#.#.##.#####.#..##.##..##.##.########..###..##.##...####.#.##.#.####.#.###.##.#..##.....#....#####.####.###.......####.###........##.####.#####.##....#.###..##.##...##.##..##.#.####.###.............####.##.##..#.#.###.##.#######.#.##.#...###.###........##.#.#.....##..#..#...##.#.##.#..........##.##.###.##.....##..###..#....#.....#######.#.#.##..#.#.#.##...#.##......#.##..###.##.##.#...####.##..##...#.#....#.#......#######.###...##.#..#.#....##.####.#####.###.###..#.#.#....##.#.#..####...##.##..#.###.##..#####.##.###.##.##.##..#.##.....#.#.#..####.##...#.#....##.###
###...#...###.##..#...####.#.#.######.##....##...##.#..#..#.....###.....###..#####....###..#.##...#..#####.##..#####.#######.#........#..#.#.#..........##.#.#..........############.#...##..####....##.#######....##..#.#.##.##.#.#........##.#.#.#.#.#..#.......#.##.#.#.#####.#######.##..###.#.#.###.##.#.###..#..#.#.#.###.##.##..#..##..####.##..##########.#.#.#.#.......#.#####.#.#.#..##.######.##.##..##..##.##.#..##.##.......#####.#.##.###.#.##.#.#.......##..#..#...##.##.#.##.#....##....#.....##.#.######.##.#.#####...#..#..##.#.##...##...##..##.##..#...#....#####.#.#.#.#.##...##..###.####.#..###.#
#.###...#.##...##.#.#..##..#.#####.#...#.##.##.######.###.##.##..#..##.###..##.....#.###..##.##.#.##...##...##.#####.#.#.#.#.########...##.####.##.#.##..###.##.#.##.#.##.........#..###..##.#..##.#.##.#.......##.#..######..##.##########............#########.##.#..#.###..............##.#...#.###.#..#.#...##.##.#######...##.#..##.##..##.....##.#......#...#.#.#.###.#.#.#....##.######.##..##....##.##.####..###..##.##.##.#.##.##.#...###....#####..######.##.##.###.#############..####..#.##.#.#.#########.....#....###...#.#.##.##..#####.##..#####.#...##.##.##.#.##.#...#.#.#####..#####.##...##..##..#..#
#.....#.#..##.##..#.##..####.#.......#...#..#..##...###...######...#####...####.####.##..##...######.#....#......................####.#.##.##...##########....#####..#.####.#.#.#...##...##..##....#..#.####.#.##..#####.....##..###...#.###.##.###.##.###.#.....##.##.#.#...##########.###..##.#####....##.#.#..#.#..##......###..#.##...##.###.#.###.#.##.#...#######.##..#.#.##.#..#####....#..####.#.#..##....##.##..##..#...######.##.##.#####.#.#..#..###.....#..#####.........##.....####..####..###.##..#.#...###...#.##...#.#.####.###.##.....##....##.#.#.##.#..##.#....###.###.....##..##...##.#..##.###...##
#.##.##.#.##..##.####..##....##.#.##.#.####.#.####.######.#....##.###....#...#############..#.##.....##.#.##.#.######.###.##.#.#......#.#..#..#.#..........##.##.###.###....#.#.###.#..#.###..##.#.#.####....#########.#########.#.###.......#..##...###.....########..#.#########.###..##..#####.....#.###.#.##.#.##.#..##.#..##.##.##.#.#....###.##..#.#..###.##.......##.#.#.##.##.###.#.##.##.#.####.##.##.#######..####.##.##......##....#..##.####.#####..######.#.....#.##.######.##.#....##....##....##.....#.#...###.#..#.#.#....#.#...##.##.##..#########.##.##..###.#.####.#...#####..####.##..##.##.#...####
#.#..##.#.##.##..#....##..#.##########..##..###.#...#.########..#.#.##.#.#.###.........######..###.#..########.#......#...#..#.##.###.###.###########.####..###........###.##.###...##.#.#...##..#.###########....##.#......#.####.#...##.####.#####..###.#.##.....##.#####.#..........##..###....#.#.#...#.#..#.#.#..##.#..#.##..##.##.#.#.#.##...###.#.#.##...######.######.#..#..###.....#..####......##.#...#.#.###########.######.####.#...##...##..####..#####.####.##.#.##......####.##.#.###.#####.#.######.####.###..##.#.#.##.###.#.####..#..##.##..##.#...###..##...#....###.#..####.###....##.#...#.###....#
#.#.##..#.########################.....######.....#...#.###.###.....##.###..###.#.#.##.#.###..##...####.....#..##.###.##.##############...#...........#....#########.###....####..#.##.#.#.#.#..##.#..#.######.##......####....###.###..####....##...##...########....#.......##.#####..##...######.###.#.#.##.###########.##..##.##.##.###.######..##.###..#####.#....##.....#.##.##...#.#.##..##..##.#.##.##.##......#.##.##....##...##...##.##..#.###......##......##..##.#.###########...###..##.#.....#..##....##...#.##.####.#.#...##.####...#####.....##....#...##..##.##.##...####....#.##..#.#####.#####...##.#
#######.###....##...##.#..##.##.#..#.#..##.####.#####...#.#..###.#.##...#####.#######........#########..#.#...#####....###....#.........#.####.##.#######.###.##.....##..#.###...##.#..#####.##..####..........#..#.##########......###.##...#.####.########..##...#####.##.#.#..#.....##..######...##..#.#.##.....####.##..##..#.##.##.##..##.....###.#...##.....###.##..##.##.##..###.#.#..#####.##..#..###...######.........####..#..##.##..#..####.##.##.###.##.#....###.#........##...#.#...##..##.#.###..####..##.##.....##..###.#..#####..#....##.##.######.##.##..##..##..##.##....#.##..##.#.....#..#.####.#..#
##.#.##..#####.#..#..#.#.##.......####.##.....###.....#...#.##...######.#.....##.#.###.###.#.#.........##.###.##.############...#.##.##.###....#..#..#....#....####.####.###...#.##.##.#.....#..######.#.##.#.###.#.###....########.....###.##....####.##..##....#.##.....######.#.#.#.#####......###..##.#..#.#.#.#.......####.#..#.#..###.##.#.#.#.#####.##.###..#..###.##.##..##.##..#.######...##.###..##.####...########.##....##.#####..#####.##.####..#...#..#.#.##...##.#.#.#.##.#.#.#.#.##.##..#.##..##....###.#..#.#.###.#...##..##...##.#.#####....##....###..####.##.##..##.##.#####..###.#.#.#.##......#.##
#.......##.....##.##......#.####.##.#..#..###.####.######.#.#..#...##.#####.#......#...###.#.#.####.#########.#....#.#.#.##...#.#.#..##.#...#.######...##.###.#####...##.#...#.#..####.##.##.#####.#.#.#.############...##..........#.#.#...#..#####.#.###..##.#.#.#..#.####.#...###.#.#.##########...######.#.#.######.#.#####.#.##.#.##.#.#..#.#.#.##.....######...##...##.##.##..###.#.#......#.#######.##.##.###...........####..####....##.###.##.#....###.###.#.#.##.###..#.#.###..#.########.##.##.#..##..####...##.###..#####.####.##.#.##.#....##.#.####.#.#...##.##.#..###.##.#...##.#.########.#.###.###.#..#
###.###..#####.######.###...##....#.########..#.####.#........###.##...#.#######.#...#.#...###.#.....##.......#.##..........#.#.#.##.##.#####.#.#####.#####...#.....#..####.####.##..#.####..#.........#.#...#.#......#..##.###.#.###.#.##.###.##....#.#.##.#..#####.#####.#...#.#######.#.#.#.###..#.....######.##.....#...##..#########...#.##.#.#....#.#..##....#.##.#.#..##..####...#####.##.###.#.#.######...###########.##....####..####....#.##.####..##..##.#.####...#.####.#...######.......#.##.##..####....####.##..##.......##.####..###.##.##.#..#.#.###.#.....#.##..##.#####.##.........##..#.#.###...####
#...#...###......#.#..#...#.#####...##...#.##.#.#.#....##.###..##.####.#.#.#...#####.#.###..#####.#.##..###########.###.#####.#####..#..#.....#...##....#####...#.#.#.##....#.....##...#....###.#.##.#.#.#.#.....##.#.##.####...#.#...###..##...####..........########.#.#.###.###..#.##...........##.#####....########.#.#..##......###..#.#.#..####.#.####.#..#########.##.######...#.##.....####.......##.####......#......#####....######..##...........####.######....#.#....#.#.#..##..###.##.####..#..##.###.#.###..#..####.##.###..#....###...#..###.##....##.##.#######.###.#.#....##.##.#.#.#..##.#.....#....#
#######.#.######...######.#..##...######............##.##.##..#####........###.###...#.#...##.#.##########.....#.#####..#.........##.#####.##.#.#....####.#...#.#.###.#..##.####.############.###..###.###.#.##.##..######....#.####.#########.##.#..#.##.#.#.#..#..........#######....#####.#.#.#.##.......######.###..#.##.###.#####...##.#.##.##.######.####.#.###.###.##..###.###.#.##.##.####..#.#.#..#.#....##.#.###.#.##.....#.##......####.##.###.#.##...#.#.##.#.##.#.#.##.#.##.###.#.####...###.##.#......#.#...###..##..#....##.#.##...##.##.##...##.#.###.#......##....###...#.######.###.#.###.####.##.#.##
#.......#........#.#......####..###......####.#.######.##.###...#######.##.........#.#.#.#.##....#.#..##.#####.#.#.....######.#.#.##.##.....######.####.#...#####.###.##..####...#.#...........##.##...##..#.##.###.#..###########.#.##..###...##.##.#.#########...####.###...##.###.#######.#.#.#.##.#.##.##..........##.##.#.......###..#.#.#..#.......#.###..#..#.......##.......###.##..#.#....##.#.##.....##.##.#.....#.##.#.###..####.###########...#.###.##....###.##.#.#.######..#..........#...######.#.#.##.##.##.#.####.##.#.####.##.#.##.##.#..#..#.#...###.#.#.####.#..##.#.#..##......#.#.##..#....#..#..#
##.##.#.##########...###.##....##...#######...###.......#.#...#.#.##....##.##.##.#.############.##.##.....#........###.##.....#.#.#...##.#####.#.###......#.##....#...#..####..#...####.######.....##.####.###...##.##......##.##.....##...#.#.#.....#.#.........#.####.##..#..#.#....##.....#.#.####.###...#.##.#.#.#..###..#.##.#.##...##.#.##.###.###...#.#####...##.##.##.##.#.##...##.#####.#.##.#.######.#..#..#.#.#.#.##.#..#######..#####.#.##..#.#..##..##.#.##...#####....##..###.#.#.#.#.#.#...##...#.#.#..#..##...##...#..###.....###.##..#.#.###.#.##.##...#.#...##.#.#####.##..#####.##.#.#######.###.#.##
####..###......##..#.##..###.#.##.#######...#.##..#.#.######.####.#####.##.##..###....#.#.##.#...#....#.#...#.#.##.##..###.#.##.#####.######.........######..##.#.##.###.#....###.########.....#.#.##.#.....###.###########.#.....##.#####.#########.###########.#.#....###.##.....##....#.###.#.##.....##.##..#####.####...##.#..#.#..#.##.#.#..#...#.###...#.#.###.#..##.##..###..##.##..#.#.###.##.#.#......##.######.#.#..####..###..####.##.......##.#.##..###.#....#.....#.##..##...###.#.#.######.###.#.######.#.####.####.###..###.##.##...##.#.#.##..####.###.##.##.##..#####...##.##......#####.........#.#..#
#..##.####.#.#..##.#..####.#.###..#.......#.#..##.###.##.#.#..##........##..##.#...#.##........#...####.##.##.###...##.#...#.##.#.....#......##.#######.....##..#..###...#.##.##..#........#######..###.###.#.####...#........#.#.##.#......#.#.###..##.##.......#####.##.######.#.#..##.#..##.#.###.##..#..#.##......###.#.#..##.###.##.#..######.#.#.....#.........#.##..#..##...##...##.#........#################....#.#.##....##.##...##....#.#.#..###..##.##..##.#.###.###.##.##..###...###.....##.##..#.##.#.###...#####....##.##.#..#..##.#######..##....#.#...##.##..##...##..#.##..##.#.#..##...##.##.#.####.#
#.#####.#######....#.#####.###########.##.###.##########.....##..#.#.#.####.#..###.######.###.###.####...######...########.######.##.####.#.##..#.....##.#.####.##.#...#.#..#.###.##.#.###.##...#..##########....###.######.#.#.######.##.#.........###.#..###.#.##.#####..##.#..####.##.#.##..###....#############.#...###.##..###...##.#####.###.#.##.#.######.##.##.#####.#####.##.#.##.###.#.#.###..##.#####.##.####.#.#..####.#.....#..#.##.#.######...##..##.###.#.##...##..#.######..#####.#.#.#..##.####........#.#.....##.#..##.#.######......##.##..##.####.##..##.##..#####.#.#..##..#.##..##.##..##.#.##.#.#
#.#.##....#.##..##.#.#......##...##....#..##..#.###.##...###..##.#.#.#.##...#.##...##.....#...#...#....###......#....##....##.#....###.######..###.##....#...##.#..##.##.#.##...########.#.##.#...###.##..######.#.#.#.#.##.#.#.##.....#..##.###.#.###....##...#.#......##......##.....#.#.###.##..##......##..#....##.###..#..##...######.........#########.....####....##.....##..#.#.##.#...#####...##................#.##.#....##.##.##...##.#.##.#...#.##.##..#...#.####..##.#...##...##.....#.#.##.####.#..#.#.##.####.##.##.##.#.....##....##.###..###..#..##..##.##...##...#.###.#.####.#.#..###.###..###....#.#
#...#####......##..#.##.###.##.#..##.####..####........#.##..#####.#.#.####.######..#.#.#.###.#.#.##.#.#...###.##.#.####.#.#..####.#....###...##.#######.##.###.##.#...###..#######.#.......###.###...###.#.##.#............#.#..##.#######..##..#.##..#.##########.#.#....#.#.#####.#######....##.###.###..##...##..#.#.#.###.####.###.#################....#.#.#....#.####.#.##..####.#########.#..#.#..##.#.#.#.#.#.#.#..###.##..########.#######....#.####..##.##.##....##..###.#.#..######.#.######..###...##.#..###....##..########.#######..#.####.#...##.##..#######.###.#...##..###....#.##.#....##.###..#.####
##.##..#########..##.#####...####..#####..##.#####.##.##..##.##.#..###..##..##.....####.#.#...#.#.#..#.#.#.#...##.#..#.###.##....######.....#.#...........###....###.###...####.#.#...####.####.#...#.......#....####.#.#.#.#.#########.....####.#.##.##..##.#......########.#.#.......##....#.##..#...####.##.###..####...##.....###.#..#.#.#.#.###.##.####.######.#.#...####.###.#.##.#.#.####..####...##..#.#########.####...#..###........#.#....##.#.#....######..##.#####..##.#.#####.##..#....##..##...#.##.##.####.#..####...#.#.....####.##...##.###..#..##...##......###.#####...##.#.###..#.#.#####...##...##
#..###.#.###.#########.....#..#.##..##.#####.......#...#.##..##...##...###########...##.#.###.######.#########.####.##..#...####..#.##############.#.##.#.##..#.##.....##.##......###########.####.##.#.#.#...##.#....#######.##.#.#..###.#.##...#.#..#..##..#.##.####.#.....#.#.##.##..###.##.#..##.#....#.#..##..##.#..#.##.#######.##.............#.......##.#...#.#.###.#...####....#........##.#..###..#####.#.#.#..##...#.##...##.####.##...#.##..#.####.##.....##..##....#####.##.....#.###.#..##..#.#.#.##..#.#.#..#.##....#.....###....######.####...##.##..#..##.#.#...#.....##.#####...##.#####.#...#.#..#..#
##.......#...#......#########......##........#.#.#.##.##..#.##..#..###.#.####.####.#.##.#.##..##.##..##.#.......##..###...#######.#.#.#.##.#.#.#.######.#.##.##.##.##.###########.........#.#.##....###.#####.#..##.#.#.......#......#######################...#..#......#.###.#.##..##.##..##.##..####.######..##.##...##.#####.##.#..###.#.##.#.##.##.###.##..###.#.#.....#.#.#.###.#.##.#.###.#....####.##...........###.#.#..##.##..#....##.###..##.#.##...###.#.#######.#.##.###.#..#.#...#...#.##..####.#.##.####...####..########...#.##...##......##.#######.#.##..#.#.#.#.###.#...#.##.####.....#.###.####.####
###.##.#...#...##.#...#.###.##.#.#....#.#.##.#####.#...##.#####.#.##...#.#.........#.##.#..##.#..#..###.##.#.##.###..###.##....#........................#.#..#...#.##.#.....#.#.#########........####...##....##.##.###.#.#.#.###.##..#.##.###.##.##.#.......#.##.###.#######..#.#..##...##..#.###..##....###..##...###..#.#.#...#....##.##########.....##...##.....###.##.######...###.#######....##.##...##.###.#.#.#.#...#.#####..#####.#.#..###.##..#.###.##...#..#.#....#..#.#...##.#.###.###.#..##..##..#.####.#..#.##...##........#.#..#.#####.##.##.......##.#..##.#.#.#.#..#####.##.....##..##.##...#.##......#
#.###..##.###.###.###.......#######.###.####.##.####.###..##....#.#..###...######.##..#######.##...##....#####...#####.#####.#...##.####.###.####.####.##.#.##.#########.##.............##.#.##.#######..####.#####..##.#.###########.......#..........#.##.##..###...#.....##.#.##.##.###..##.#.#.##..##...##..##.###..####...#...##.##.##.#.##.###.##..##.###.#.#..##.##....##..#..####...#.#.##.##.#..#..#.#...###.#####.#...##..##.....#.##.#....##.###.#..##.##.##.####.##...##.##..#.##...##.##..##..##.###.##...##.##.########.#.##.#.##...##...#.##.#.#.#.##.##.##.###.#.##...#.######.#.##.######.#...#..###.##
#.##..##..#...#...#...#.###...........####...##........##..##.#.#.##.##..########..#.####.....########.#.......#..##...#..##.######.#....###.##...#....##.#.#...#.##.#########.########.##.#.####...#...####..#.....###.####.#...#....#####...#.#.##.#.########.##..#.###.#....#.##.##...##.##.#....##..##.##..##....##..#####.#.###..................##.##.#...#.##.##.###.#####.##...####.....#...######.##.##.##...##....#.#####..##.#.##.##.##.#.##.##....###.##....##....#.#..#.#..######.##..#######.##.##.....#.#...####.##..#.#.#..#..###.##.#.#..###.###.####..##..##.#.##.#........#.#.####....#####.#.##....#
#....####.##.##.#####.###...##.####.####.##.####.#.#.#..#.##..#.###..######.......##....#.##.##........##.####.##..###.##.##.#......###.##....###.##.#.##.#####.#.#...#.#......####........###.####.###.#....##.#.#.##..###....#...#.########.#.#.##.#...#.##.#############.##.#..#.##.###...###.#.##..##...####..##..####..#######..###.#.##.#.#.#.#.#..##.###.#..#.#...##....##.#..#..#####.#.##.###......####.####.#..#.##.#..##.###.###...###..#.##..##.#.##..#..####..#.##.##.####.#.......##......#########.##.####.###.#.###...#.#.##.#########.#.##....##....##.##.##..#..###.##.###.###......#####....#..###.##
#.##.#.##.##.######.######.######....##......##..#.#.#.##..##.#.#...##......#.###..#.####.########.#.#######....##.#.........##.#.###....##.#.#...##.#..####......#.#.....##.#.#....##.###.##....#..#.######.##.#########.##.#####.#.#........#.#.#..#.###........##.##.###..#.#.##.##.#...#.##..#..##.####....##..#####.##...#.....###..###..###.#.####.######.#.#####.##..###########.#.#...#.##.##..#.#.####...##..##.#..####.#..##..#...###...##..##..###..#####..##..##.##.##...##.#.###.###..#.####.##.##.###.....###.........#.#.#.#.........##.#.###.#..##.#.##.##..##.######..#...#.##..#.##..#..##.#.#.###...#
#.####.#..####.#............#.#...#.##..#.#.##########.##.##..###.######.#.####...##...##.#.#......#.##.#....#.###.####.#.##..###.###############.#..#.###.#####.######.#.##.#.##.###..##...####.##....#.###.##.#.....###....###############.##.#.##.#..###.##.##...........##.#.####..#########.#.##....###.#####...##..####.#####...##.#...##...#...##.#......#.#.#.#.##.###.#.#.#........#.#.##..##.#.#.#....#.###.#..#.##......####.#.#######.##.####.#...##.....####.##.##..#.############...##.#....##..#..#..#.#...#.#.###.#.#.#.#.##.#.####.##.###.#.#######.#...#.##..##.....##.#.#..##.#####...#####.###.##.##
#.#......##....###.##.##.##.#...#.#..##.#.#.##.##.#.#...#.##.########.#########.#.##.######...#.#.##.#..##.#.#...####...#.#####...#..###.#.#.#....##.#.#...#......##.####..######.##..###.####......##.#......###.###.#.######.#.##..##.##.#..#.#.#..##...###..###.#.#####.#####.#.###.#.##....#.#.###.#..##...##..#..##.......##.#.#######.#####.###.#..##.##.##.#......###.......####.#.#.###.#..##..#####.#.####...##.#######.#..#.######.......#.#.####.#.##.##.###...##.#####.##.##.#...####.#....##.###.##.##.#.#####.#.#####.#.######.#....########........##.##.##..##.#..#.#..#.#.#.###....###.##.##......##..#
######.#.#####...####..#.#..#.#.#.#####.#.#.#.........###.#..##.............#...#..#...#.####.###.##.##....#.#.#.##...###.#.....####...........#.###.#.#.#...##.#.##..##..###.....#####.#####..##.#.#....##.#.#...##....#...........##.......##.####..###..#####.#####........####..####....##.#.###...#.####.##..##.#########.......#.#....#......##.##.#######..#.#.#.##########..###.###.#...##..##.#.....#..##..###..##......#.##.##.#...##.#.##.#......#.##.#....###.#...####.#.......#......##.###..#.........#....######.....#.##.#...##.#...##.....##.#.#..###...##.####.##.##.#.#.#.#...#.##......###.#.#.##.##
##.##..###.#.###.#....##.######.#..##...#####.#.#.#.#..##.##.#..###.#.#.#.#...#.#.###.##..#####....#####.###.#.###..########.##.##...#.#####.#.#.#...#.###.#..#######....##.##.####......#....#####.##.#.##.#####.###.#...#.##.#.##....#.#.####.#....##...##...........#.#.####.#..##.#..##.#......##.##..##...##.#..#.........#.##.##.##########.##..##.#.......######....#.#.....##...##..##.##..#####.###.########...##..###.##.#..#....#.#..#.##.####.#.#.##.##.###...#.#....#.#.#.##.###.#.#.#....#####.#.#.####.#.##.#.######.#....###..#.#.######.#.##.#.#.########...##..##..#.#.#.####.##..###.##.#...#########
#.....##......#....##..####.....##.#..#.##....#.#.#.##.####..#.##...#.######.##.#.##...##.#.######.#......##.#...##.#........##.##.#.####....#.#####.#.##..#.##.......#.##......##..#.##...##.##....####.##.##....#...#.#.################....#####.#####.#..#.#.###.#.###......##......##..###.#####..######.###.##.##.#.####.###.....##....#.#...##..#.#.##.##..##....##.#.##.##....###..##..##.###.####...##.......#.##.####..####...#.##.#.#########..###..###...####.#.#.########.##########.#.##..###..#.#.#....###...........##.####..##.#..#####.#.##.#.#....#####.#..#.####.#.#.#..##...####....#.#.#.........#
###.#.###.###...#.##..####..##.##..#.##..###.####.#.#....###.#.#########......#####..####.......#..####.#.#..##.########.###..#.#######.##.#.#.##....#.#..##.#######.##.#..###.######.##.#..#.#####..##...#.#..#####.#######....#.##.##.#..#.##.......#.#.#.######...#.###.############..#####......##...#..###...####..#.#....##..#.#.#..##...##.######.#.#..#..###.#.##..#.##.##.##.##..####..###.#..#####.##.#.###.#..###....##..##.#######.#.##.#....##...##...#...######....###...#...#......#..##...####.###.##...##.##.###.#.##..##..###.##..##...###..###.##.....###.##.##...######.###.###.#.#.##.####.########
#######.####..#.#####.##...##..###.#..#.####..###.###.#.##.#.#.#...#.#.#####.####...##....#.#.#...###...##########.#.#...#...####.#.#......#.#.####.##########.......##.#.##...##......####.###.##..####.####.##########.#.####...........#######.#.###...###.#.####.#.#......###.##....##.#...#.#######...##...#.#....##.##.#.#####.#########........##########...###..##.#.....####.#####....##.....##.....##.#.#...##.#...##..##.....##.###...##.##.#.##.#..#.#.#.###......##...#.#####...#.##.#.##..#####..##..#..#.#..#..#...#.###.##.##.###..#####...##..##.##.###...#..#..###.....####...##....###..#...........#
#........#...##.##.##..##.###.##...#.##.#....##...##..#.##...#.#.#........#.....#.#.##.#.####.#.#.##..#..#.#...#.......#####..##......#.##.#####.....##.##.#...#.###..########.##.######....##.....###...##...#...#.#.#.........#.###.#.#....##...####..#.#..........######.#.#......#.##....###....#.####.#########.#.#..####.#......##.......#.##.###.##.......###...#######.#.##.#..##...##.##.###....###..#.#.###..#.###.#######.#####.....#.##....#.#####.#.#.#.##..###.####.######...###.##.#.#..##.....####.#.####.##.###.##..##.##......##....##.#.##.##..##...#.#.#.##.##...#.#..##..###..##...##.###.##.#.####
#.###.##...#.####..##.#####...#..#.#########.##.#..##.#..###.#.####.##.##...#.########.###.#..###.##.##.##...#...#.#.#.#.....##..######.#..#.....#.#.#.......#.#.##..##........##.#......#.######.##...#..#######.......#.#.#.#.#.#...#.#.##..##.####..#####.###.#.####.##..#.##.#.#.#.#..#.##...##......###.........######.#..####.#..#######.#..#####.#######.##...#...##....#.#....##..#.#..#########.#...##.###...####...#........##.####.##..##.#.#.#.....#.#.#.###.#.....##..##....#.##...###.##.####.#.#.#..#....######...#..##...#.##.####.#.##..#.##.##.##..###.#.#..#.#..#.#.#.####..###.###.###.#...##.#....#
#.#...#..#.#....##.#...##...#.####....###.##..#.##.#..##.#...#.##...#..##.#.#...###....##....###...#.#...###.#.###.#.#.#.#.#######......##.#.##.########.#######.##.#######.#.#########.##.#......###.#####.##....#.#.#.#.#####.#.###.###.##.##..##...##...####..#.#.......##.###########.####.#.##.##.#..##.#.#.##.###.#.....###.#.#.####.....##.#.....#.##.....###.###.####.##.##.#.#..#######.#...#...##.#########...##.#.###.#.##.#.......##.##..#.#.##.#.##.#.###.#.##.#.##..#####.##.##.####..#...##..#...##.#.#.#########.##.###.##..#....#.#####.#.##..#####.##..#.#.####.##.#####..####.....###.#####.##.#.####
###.#.#.####.####....#.####.#.#....####...#..#######.###.##.##.##.#.##.##.#.#.###.##.#####.#.##..#.####.##...#########.######.###..##.#..#####..#........#.......##.#.#.....####.#.###...####.#.#..####........#.##.#.#.#.#.....#.#...##..##..##..##.#####......#########.#####...........##...#..#..###.#####.#.##...#.########....#.##...#.#.##.##.##....##.#.###..##..#....##.#..####.##........#...###..#.......##.###########.#..##.##.#..#.#..##.#.#..#.##.#.#.....#..#..####.#.#.##.#..##...##.#..##.##.##..#.####.##.....#....#.##.###.###....##.#.###..#.##.##.##.#..##..#......##.#....#.#.###.......##.#....#
#########.####.##.#.####....####.#..##..#...##.#.....#....###...###.#..##.#.#.#......#.....#####.#.##...###.###..##.######........#####.##.....###.##.#.#####.####..#.####.##..........####.#.####..#####.##.########.#.#############..##..#.##..##....########.#.#.#......#.###.#.#.#.##..###.#.##.##....#.####..###.#....###...##.#.##.#.###..####.#####.####.##..###.###.#..#.####.....#######.###.############.##.....#.##.....##.#..####.#####.#..#.#.##.##.#.#.#.#.##.##..##.......#.##.####.##.#.##..##.##.##.#.......###.#.#.##..###...##..####..#...##....#.#..##.##..##.#.####..#.###.##.###.###.#.#..#.#.####
#.###...........#.#.##...##.##...##..##.##.###...###.#.#.##...#.#...##.##.#.#.##.#.#.##.###############..####.##.#....##.#######.###.#..########.#..###.#..#####...##.#....#######.#.#..##....##...##.....####..#.########.#####.#....####.#.###.##.#.##.###.#..#.....##.#.....#.###.####.####.#.##..#.##......###########.....#.#..#.######...###.###..........##.##.####..#.####....#.#.#.#.#####.#.#...###.........#.###....#.#.#..####.#......####.###..###..#.#.#.#.##.###..###.#.#.#..###....##.#..##.##..#..#############.#.#.#..####.#..##....##.##.####.###.#.##...#.#####..######.#....####......#.##.#.#....#
#...###########...####.#.##..###.#..##..#....##.####.######.#.#####.##.######..#.#.#.#..#....##.##....##.#.........##.##.#.###...#.....##..........#######.......###..######.......#.########.#..###..#.#.#.###.....##.##........###.##..#.#...######.#..#...##.#.##.##..#.#.###.###.##...##...#..#.##.##.##.####.#.##.#.#####.#.#.##.#......#.##...#..###.##.#..#.#.......##....####.#####...........###.....##.#.#.#######.#.######.###....#.####..#...##.#...##.#.###..###...##...###.#########..####.##.##.#####..##.........###.##....###.###.#.##...#..##....#.#..###.#.##.###....##..##.#..##..#.##.#.#..#.#.##.#
##.###.#........#....#####..####.##.#..##.#.##..##...##.....####.....###.##...#########.####.#..###.######.##.###.###.#........####.#.####.#.#####.#...#.##.##.######.##.##..##.####.###......#.#######.#.#.....#.#.......##.#.#......##...##.###.#...##.###.##.###...##.###.##..#...###.#####.##.#.##.##.####.............#...#.#.#..###.##.#..#.#...##...##.#.##.#.####.##..####....##....#.#.##.##...####.##..###..##.....####.....#.#.##.#...###...####.#.#..############.#..###.##...###......##....#..##....###....####.##.##..#..#.###....#######.###.###.#####.####.#.....###.#####....##.##.##.#..####.#.#..###
##.##..###########.####.##.###...##.##.####.###.##.#..####.###.####.##......#....##..#######.##.....###########...##..###.##.###....#...####.##....###.#.#...#####..........##..######.###.#.#####.#########.####.##.####..#####.#.##..##.##...#..#####....#....#...####.#...######.##...#......#.#.##.##....#.##.##.###.#...#.#.####.##..####.#####.#####.##.#..#.#.#.....##....##.#.#####.#.#.#..######....###.##..##..##.##....#.#.#...#..#.#...###..#.#.####.##....##.#...#.##...##.###...#.#.####.#.#.####.#..##.####....#..#..###.#...##.#...##.#...##.#....##......#.##.#.##.......##.#.##.##..####.##.###.#.####
#...##.##.#.##.....#.........##.########.....##.##.##.##...#........####.##.##.####.##..........###...##..#.###.#.###.....#..######.#.#.#.....#.#####....#####.....####.#.#..##.#..###.....###.#......##.#.#.##...####....##.....#.#..##..##.###.###.###.#...#.##.#.##...#.#...##...####.##.#.###.#.##.##.#.################.#.#.##...#####.....##.#.##.....####.#.###.###.###.####.#.#..#..#.####.#....####.#.#.##.######..############.###.#.#.###...##.....##..####......#.#..###..###.##.####.#.#..#.#..##..#.##..#....#.###.##..##.#.######.#....#.#..#.##.#..##.###.#.##.#.###.##.#.#..#..#..##..#.#.#......#....#
###.....#......#.#.#######.######.##.######.###.#..#..#######.###.#.#.....#.##.###..####.###.##.##..#..##.#.#.#####.##.#.##.##......#.#.#.#.#######.####...#.#######....###.######.#.########....#.##.........##.##....#.#####.#.####.###.##.##..##......###.###..#..########.####.##.#...###...#.####.######.#.##...........#.#..##.##.######.##.....#.#.#.#....#..##.##..#...##.###.##...##.##.######........#.#..##..#..##............#.###.#..###.##..#.#.###.#....#.##.#.##.##..##......##...#.####.#.##..##.###.##.#########..##..#..#..##.#.#.####.##.##.##.#..##..###..#.#.#.##.####.####.##..##...##.##.###.#.#
##..#.#...####.#.#.####.....##................###.###..##.....##..#.##.#.#######.##.#.#####..#..##.###......#.##.......###...###.#.####.###.####.........#....######.#.#######.#......##.##...#.######.#####.##...###.##.#..#..#.##....##.#..###.#####.#.#...#...##.##....#.....##.#....###...#####.....##....#.###.#.#.#.#.##.#.##..##........#..#.#.#.######.#.#.##...##.#.#.#..##..###.###.#..###.####.##.#.####..##...##..####.#.#.###.....####....####.#..#####.###..#.########..##.#.#..#.#......#.#..##..#.#.#..####.#.#.#..####.##...#####.#...##.##.####..#.####.##..##.#....#.#......######..###.#..##.##..###
#..##.###.##...#.#.#..###.#..#######.#.##.##.###...###.#####.####.#.#..###.#.....##.....#.##.##.#...###.#.#...#######.##...#.###.#.#....#####.#..##.###.#####.#......#.#...#.#.####.#.......#.###.##.#.#.....###.##...##.##...####..#.##..#.##.#.......#####.###.##.#####.###.###..#.##.###.#.....##.##.##.##....########.#.##.####.###.##.#.#.#.##.######.#...#.#.##.#.#..#.#.##....##...#.####.#....##..##.#####..###.#.#######..#.#######.#....##.####...##...##..##..##.##.......#######.#####.#.######.#..##.#...##..........##....##.###.#####.#.####.....##.#..##..##.##..#.#.########.##..##..##...#.##...##...#
##.##.##...###.#.####.....##.#..##...#..###....#####.###.#...##...#.##..##.#####..#.###.......####.##...#.###..........###.#.#...###.#.##.##....#####.###.......##.#.#.#.#..........##.##.#.#.##.......##.#.##.######..#####.##.#..##..##.#.#....###.###.....##..##.#...........####.##...#.##.####...#.#..#####.#.#.#....#.#...#.###.########.#.#...##..#.##.####.##.###.##.#.##.#.#####.#.##...####.###.##..##...###..###.......######.....#.#.#####....#.##.#.###..##.#...####.#.##.#.....#.#.###....######..#.#.######.#.#.##..###.##......#.##..###..########.#.####..#.##.####..##.####....####..###.#..#.#..##.##
#..##..######..####.##.#.######.###.###...###.###.....##.#######.##.######.#...##.###.##.#.#.##..#.###.#######.####.####...###.#.##..####.##.#####.#...###.##.#..###.###.#####.#.#.#####..#.#.###.#.#.##..#.##....######...####.##..####..####.#.#...##..###.###..##########.#######.#..#.###..##...###.#.##...........####.##.##..#...##.#.##.#####..##......##...##...#.#..#.#..#.##.##.#..###..........###.#..#.##..##...#.########.###.#.#.#.#.#####.##.##.###.#.###.#.#####..###....###.....##..##..##....##.####...#.#.#..##.#....##.###....##...#.#######.#.###.#..##..####...##.......####.###..##.#.####.##...#
##..##..##....####.....#.#.#.........##.#.##....#.#.#.....###..######.##.#.#.###...#.....#.#.###...#...#.......##....####.##...#####.##...#####......#.#.####.#.##....###############..##.#.#...#####.###########.#.##.###.........##....##....#.#.#.#..##....##.###.#........###....#.##...##.#..#.############.##.#.##....##..##...#..........##...#####.#.##..#..##.#####.#.##.#.#..####.####.#.#.#.##...####.###..#####.###....#.......#.#.#.....##..##.##..##...##..#.#.#.##.#####.#####.##..####..############.###...#.#####.#.#.##..##..#.#####...........#..##...######....#..###.#.#..##...###.#..#.##....##.##
#######..####.#....##.##.#.###.#####..###..##.###.#####.#...##..#.##..........#..#...##.######.##.##.#.#.##.##..##.###....########.######..##.####.#.#...###..#.###.###...............##..#.#.#.#.....#.#..##.#...#.#...#####.#.#.##..##..##.#.###.#.##..###.##..##..######.#...#.#.##.##.#######.#....##...##....#.######.##..##..#.##.#.###.#.##.#.#..##.#..##.##.##.#.#...#.#..####...#...#.#####.#.#..#.#....##..##.....######...#####.###.###.#.#..#####..####.####.###.#....#.##..#..#...#.###...###..##...##...#..#.###.....#.#.#..####.#.....##.##.##.##.#.##..#......##.####.##..#.##....#.#.#.##.#..###.##...#
#.......##....#.##########..####.....###..##...######...##.####......#####.##...##.#.#....##.......########..##.#######.#..##.##.#.#......##..#....#####.#.#.##.#....###.#.####.#####.###.#########.#.#.##....###...###...#.#.###..####..#####...#.#.##.##...###.###..#.....#.#.#.####..#..##.#.#.#.#######....##.#####.##.###..##.#.#..#.#####..#.####....#####.#######...#.#.#.###...#...#...##.#..#.##.#.##.#..##..##.##.#......#.##....#.....###.#.##.#...##.....##..###.#.####....###...#.#...#.#...#.###.#....#.##.#...####.##.#.##...####.#.###...#.##..#.#..##.#.#.#.###.#....#######..#.####.###..##.###.##.#.#
##.##.#..###.#####.....###.##.#..#.#...#.##..###.##.#####.......####.##....#..#..######.#############.#.#.#.##....##....#.##.....#.####.#..##.######.........##.##.#..##.###....#.........##.#.#....###.#####.#.###.##..#......##.##.#..##.....###.###..#..#..####.##...#.#.#.#.#.##...###.#......#.....####.#..#.#........#...############.....#####.#.##.##..........##.##.#####.##.###.####.#....##..#.#..####..##.#..#..######.#.###.####.##..####....#.#..##.#.####.#.......###.#.#...#.###.###.###.....#.####.#....##.##....#..####.#...##.#...#.#.####.##.#.##..#.###.#.######..####...##.#.##...##.##.#....###.#
#..#..#.##...#.....#.#..........##.#.#.#.#..##............#.#.#.#....##.#.###.#.##......##...................##.#..##.#.#.#..#.#........##...........#.#.##.##..##.##.##.##..##.##.##.##.##......##.#..................###.#.#.##.#....##..##.##...##..###.#.##.......#.#.#.#.#.#.##.#...#.##.#.#.#.##.##....##.#.#.#.#.##.#.#....##........#.#...##.....#.##.#.#.##.#.#..##.#........#...#......##.#..##.#.##....##..##.##.##.....#.#....##...##..##..##.#.##.#..#.#....#.##.##.#...#.##.##..##...#.#...#.#.#.#....#.#.##...##.#.##..##..##.##..#.#.#.#....#..#.#..##.#.#.....##.....##....#.##......#.##.##.##.#..##.#
######################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################E#

#S########################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################
#.##.##......##..####..##.##..#....#.#.#...##....#.##.####.##.#.#..#.##.#.##..#..#.##.#...##..#..##.......#.#.#.#.#....##..#..##..##.#.......##..........#.#.##..#.#.........##.####.##..#..##.....#..#.##.#..##.#.#.#.#.##...#....#...#.##....##......#.#...#.#.#.#.#..#.##..#.#.##.#..##..#...#.##.#.#.#...##......##.#.##.#.##..##...##..#.##..#.#.##..#.#.####..#.#.#..#.#..#.##.##.#.#..#.#.....#..##...#..##.##.#...#.##.#........#......#.#..##.##.#....#.#.#..##.#.#..#..##...#.#.#.#.##.#..##..#.#....#.##..#....##.#..##.#.......#.#.#.##..##............#.##..#.####.....#...#.##.#.#..#.#.#.##.#......#.##.#.#.#..#...#.#.#.#....#.#.#...##..##.#.......##...#
#..#.##.########..##..##...##.#.####.#...#.#..####.....##.......##...##.#.#..##.##.#....#####.#.###.#####...#.#.....##..##...####....###.#.#.####.##.#####...###.#.###.#####..#..##...##...#####.#.#.##.##...##......#.#.##.###.####.###.###.####.######.#.###...#.#...##..##.#.#.##.#.####.###.#.#......#.#..#.######..#..#....#.#####.##.##..##.#.#..#.##....##..##.....##.#.##.#..##.#.##...##.####.#####.##..#.#....#.#.##.#.#.####...######...###..#...##...#...##......##.#####.#.#......#...####.....####..##.##.###....###.###.#####.#....#.###.##########....##....##..#####.###.##...##.#.#...##.#.######....#...##...###.#.#...####.#.#.#####.##...##########.#
##...##..##.####.##..##..####.#.#.#....######.#####.###########..###..#.#.##.##..#.#.####.##..#.#.####.###.##.##.######.#..####.#.#####..#.#..#.#.##.#######..#..#..#####.###...###.######..##.#.###.##..###....##.#............#.#....#.#.#.##.#.###..#.#.#.###.#.#.#####..#.#...##...##....##.....###.##.##.#......##...##.####..##.#.##..#.###.....##.####.###.#######..#.#......###.#.#..#.#..#.##...##...##...#.######.##...#...######....###.#.##.#.####.###.###..####.......##.....#.####.####.##.#######.##.........####.#..#.....#..#.####.#.#.........#####....#####.##.#.#.##.....###......###...........####.####.###.#.....###..#.#....##....#.#.....#.##...#
#..###..##...##...##.###.##.#.....#.####..#...#..#..##.##..##.#.#####.#.#.##..##.#.#..##...##.#.#..#.#.#.#..#.##...#.#####.##.#.#.#.#.#######......###.....##.##.#.##.#.#...##.##.#..#.#.##....#..##..#.#######.####.######.###.....####......#.....##.#.#.#...#.#.#.###.#.##.#.#####.#####.##..###.#.#######.#.########.##...#.#.###....##.#.##..##.##...##..#.#.#..##...##.#.######.....#.#####......#..###..##.##.##.##.....#####.#.##.#.####.#.#.##......#.###.#.##.#############.###.#...##.##.#..#.......#..##.####.###....##.##.####.##..........#.#######.#.####..............#..#####.#.######.##.##.#.#.###......#....#.#.###.#.##.#.#.#######.##.###.###.###.##
#.##.#.#####..###.##.#....#.#.#####.#####.###.#.##.##..##.##.....#......#....##..#...###.###......##.....##.#.#..#....##......#.#...#..##.######.#..###.####.....#.#..#.###.##.##.#.##.#..##.###.##..##..#.#.#.....#.##...#.#######..#####.##...######...#.#.###...#........#.#.##.#...##.#.###...###..##.##..#.##....##..##.##.#...###.##.......#######.##..##.....#####.........####.##...#.#.#.#########.##........#.##.##.###..###.##.#...##...#..#.########.#..........###..###...########...#.#.##.#######.######.....##.####.#....##....#.#.#.####...##.#.......##.#.#####.###...######....###.#.....##########.#####.####.#...###.##.......##..#.....####.#..#...#
#.##.#...#.##.##..#..##.###............##.##..#.#...##.##..#####.#####.##.######.#.####..##..########.##.#..#...##.######.#####.##.##.##...##.#####..##.###..###.....##.#.#.##.##.#.##.##....##..##.###.##.#.#.#######..#.#....###..##..#####.#######..###.#.#.###...########.#.#....####.#...###..##.###..#.##.##.######.##..#.#.####...##.####..###.#..##.###.######.#..#########.#######.....#.#.#.#.##..####.##.#.......###.#.##........######...##...##.##..#.###.#.####.#.##.##.##.#.##...#.#...............##..####.##..##.....######.#####.########......##.#######...######..####...##.###.#.#.#.#########.......##.##.#.#.####..##.#########...#####.#..##.#.###
#..#.#.###.....##.##.#....##.###########..#..##...#.##.#..##.#.#.##........##..#.#....#.####...#.##.###..#.##.####.#..##....#.#.#......###.#.....###..#.#.##.##..#.###......#...#.#.##.#..##..##..#.##..##.#.#.#.#.###.#########.#####.##.....###...#.###......#.#.#....#.##..#.#.######....###...##..#.#.##.#..##.#..#.#.##.##...###..#.....####..#..##.....#...#.#.#.##......#.#...##.###.#####...#.#.##.##.#..####.###.#........##.#######.#..###....###...##.#.#######.............#......#.#...##.#.#.####.#..##.#.#...##..#####..##........#...#....##.#.#.####.##..##.##.##.#####.##.##..........#####.#.#.##.#######.##.#......##.##..##.#.##..#.........##....#.#
#.##.#.#.#####.#..##...####.....#......##.#.##..###.#....###......########..##.....####...##.###.##..###.#.##.##.###.##..####.#.#.######.#.####.##...##.#.####..##..####.##.###.....##.##.######.##.##.###...#.......#...#.###..........#####.#.#.###.....##.#.#...##.#.#.#..##.#..#.#.##.###...#....##.#.##.#.###...##.#.....#.###.#.##.#####.#####.##..#####.###.....##.#.####...####.#.#.#...##.##.#..#.##.##...##.#######.#######.###.##..#.##...####...#.........#..#.#######.###...###.################.####.#..#.##.###.##..##.##..##.#########.###########..#..#.###..#.#......#.##..#.#####.##.....#.#...##...###........####.##....##.....##.###.#########.###.#
#.##...#..##.#.##..###......###...####.#.....##...######...#####.##.#.##.#.###.###.###..###..#.#..##.#.#...#......##..##..##..#.....##.#.#..###..###.##....##..######.#####.#.##.####.......#.#...#.##...##.##.#######.###.....###.######..##.......#.###..#######.######...###.#.##....#..#######.####....#.......#.##.###.###.#.#.#.#####.##..###..#..##.###.#...#####..#.######.##.#.#...#.####.##.#.##.##.##.######.##..#...###..........##..###.##.#.######.######.##.......#...##.##.###.#....#.#.#.#.#...#####...##.#.#....##.....######.........#.#.#.#....##.##.#.####...####.#.##.##....##..##.##.....#####.##.##.#.######.#######.##.###.....#######.##.#.###.#
#.##.###.##..#.##.##.#.##.#..##.########.##.##..####.##..###..#..##....#...#.#..####.##.#.##...#.##....###.#.######..####..#.##.#.#.##.#...##.##..##.#..####..##.##.#.#.#.....##....#####.###.###.#.##.###...#.#....##.##..##.########..#.##..#.##.##...#####.##.....#.#..###.#.#..####...##..####.#.#..####.###.###..#..##.........#.#.##.....##.##.##.#........#..##...####...#.......###.#...#..##.#.......#..#.###.....######.##.##.#.####..###........#..##.........#.########.##.......#.#.####.........###.##..#.#......######.#####.#.#.#########.#.....####........####.##.####.##..#.######.#######.#.##.#........######....##.#........#######.##..#.#......#.#
#....##...##.#.##.##...###########.....####..##...#..###.#.##.##..####...#.#...##.##.##.#..#.###.#####.###...##.##..##.#..##.#..######.#.###..###.#..##..##..###.##.#.#.##.##..#.#######..#.#.#.#.#..#...##.##.#.#####....###.#..##..##.#.#..#######..#.#.....##.#.###.#.###..#.#.##....#..##.#.#......##......#..###.#.##..#########......#.#.##..#.##...###.##########.######.####.####.....#.#.##..#.#######.##..#..#####.##.#.....#####.##.##.#.########.##..##.##.#.....##.#.#####.#.##..........#.#.#.###.#.#####...#######.##...#..........##.##.....#.#.#.##.########..#..#...##..#.##.....####.#..####..#.#.##########..###.##....##.###..#.##.#..##...###.####.#
####.##.###..#.#...##.##.#.##.##...#######..##..###.##.#.#.#...##...####.#...####..#.##...##..#...##...#.###....##.##..##..#.#.###.##..#...##.#.#.##.##.####.#.#.##.#.#.######.#.#.##..#.##.#.#.....##.####........##..####.###.##..###.....####.####.####.#######.#.#.#.#.##.#....#.##.####......#######.#######..####.##.###.##.....#.##########......#..####.#.#.#..#..#.##..##.#.######.#####..##....##.##...#.##.###.##..#.###.####.#..##.#..............################.....#.#######.##.###.##########..#.#.##..###...#....##.##.#.#.##.#..#.##.#########.#.......#.##...##.###..##....#.###.##...##.##.##.#.######.#.##.#.#..##.###########.##.##....####..#.##.#
#.#..#...###...#.###..##....#..##.###.##.#.###.##.#.#..#.....#####.##..####.###.##.#..##.####.#.######...#.##.###...##.###.#.#...#.###.#.###.........#..#.#..#.#.##.#.#..##.#.......##.#.##.....#.#.##.###..########..####...##..##.#.####.##.#..#.#...#.....#.##..#.......##...######...#.######..###..#.....#.####.#..#.........###.###..##.#####.##.###...##.....##...##.#..##..#.....##.#.##..####.###...###.#......#.##.##..##.#......###.#.########.#.#..##.##..#.####.#.##.##..####.#.##...####.#.#.#.#.##.#.###.#.#.###.#.###....#.#.##.##.#.......#.#.##.#.###.#...##.####..##.##..#.####.#....###...#.#.............##.#.#.###.###.##....#.##.##.#####.##......#
#.##.##.##.#.#....##.##..####.###...#.#.....#..#..#.##.###.###.##..##.##....##..##.#.###..##....#.##.###.#..#.#...###..#.#.....###..#......#########.#.##.##.#.#.##...#.##..####.#####.#.###.#.######..#.##.#.##...#.##....#####..#.#.#.#..#....##.#.###.#####.###...##########...#.#..###.....##.##.#.##.#####..#.#.##.#.###.#.#...#...##.##..##.#.####.#####..#.#..###.##.##.##.##.#####.....##.##.#.#.##.##.....####.......##..#...##.#.##.......###.######.....##...........#.##.##.#..####.###....#.#.#.#.##.#.#.#.#....#..#.##..#.#######.##...#######.#........#.#.#.....#.#.##.....####.##...#####..######.####.##.##.#..#...##.........#.##.##.....##...##.######
#.##.#..##.####.####....##.#..##..#.#.####.##.##.##.#..#.#.###..##..#..####....##..#...##..##.###..#.###.##.....#...#.##.#.#####.##.#.######.#.##......##.##.#....###.#.#..##....#..#.....##.###.#..##...........#......##...#.##...#.#...##.####..#.##...####...##.####.##..#..#.#.##..##.#####..##......#.#.#.##...#..#.#####.#.#######...##..#.#.#.#.....##.#####.#....#.##.#..##...##..######..#........#####.##.###.###.###.##.#.######..#.#.#......#.##########.###.##.#######......##..#...##.###.#.#...##.#.#.#...####.####..####.#.#.###..#...........#.#.#.######.#.###...##.#####.#...#.#####...###.##.....#.########...#####.###########.#..###..##.###.##.#.#
#.##.##.#...#.#.##.##.###..#.###.####..#.#.##.##.##.##.#.#...#.####.#.##.###.#####...#####..#.....##.#....#.##.######.........#..##......##..#..####.#.#..##.####.##..#.##..####.#.##.#####..###...##..##.#.##.#####.#########..#.###.#.####..#.##.#....###..##.##..##.#..##...####..##......##..##..######.....##.#.##.......#####.##.#..#..#.##.#.....#####...##.####.###.#..##.##.#####...#..##.#.###.##..##.#......###.###.#....###.####.#######.#.###..#.#.......###..#####.##..##.#####.#.####.#.#.#.#.###....#.#.###..#..##..##.#.......###.##.#.##############.#.##.#...##.###...###...###...#.#.#...#.#..#######.##.##..####.##.....#.#.#.#.#.##.##.##.#.#.##...#
#.#..##.#.###.#.##.##.....##.#.#..##..##...##....##.#..#...###.#.#.....#.#.#..#.#..#####.##...###.#..####.###....##.#####.#####.##..########...##.##.####.##..#.#..##...##.##....#.....#..##...##.##..#######...#.#####...##.##.#.#.#.#.##.#.##.##...#.#####.##.###.##.#.#####...###....########.##.##.#.##.########.##.#######..##..#.#.###...##...###...##..#..#.##.#.##....##..##.#.#...###.##....##########.#.####..##..##...#####...#.....#.#.#######.##...#.#.#...##..........#####.##..####.#.#.#.#.#...##.#.#.#...#.##.##..##....###.#...######......###...###....#######..##..#.....###...###.#.#####.##.....##..##.###....#.#..#####...#.#.#.##.#####...#.##.###
#.#.##..#.##..#..#....#.###..#.##.##.#####.##.#####.##.###.....#.##.##.......##.##...#.#.##.###.#.#.##.#...###.###..####...##.#..##.#.#.#.####.##....##.#.###.#.##..###.##..####.#.#####.###.####..##...##.####.........###..##.#.#.#.#..#.#.......#####..##.##..#..##....##...###.####.#.##.##..##......##.#.#..##..##.##.##.##.##.##.#.#.##.###.###.##.##..###.#..#...##.#.####.##.#...####..###.###.###.##...#...#####..###.#...#.###.#.###.......###......#####.#.#..#####.#.####..#..###..#.#.#.#.#.....######.#.#.###.#..###....#.######.#..#.##########.##.##.#.#####....##....###.##..####..#.......#.....#.#..##..#..#..####.##.#.###.###.#.#......#.##.##......#
#....##.#.###.##...######...##.##.##.#.#.#.#...##......###.###.#..#####.###.##..##.###.#.#...##.###.#..#.###....##.##..##.##....##........#.#...####....#.#...#..##.....#..##.#......#.#.#.#.#..##.#..#.....####.#.#.#.##.##..#.#.#...##.....########.#..###..##...###.#####.###...##.#.#.##..##..#.###.###.....##..###.##....##.##.##.#....###.......####..##.####.###..#.#.#.#..#....#....##.#.....#...#.####...###.#.##.....###....##.....#.####.##...##.#.....#.#.##..#..######...##.##...##.#.#.#.#.##.##.#.#..#.#.....##..##.#######..#######...##.##.#...#..#.........##.##.##..######..#.##...##.####.#######.####...##.###.#......#.#..##.#.#.##.###..#.##.######
###.##.....#..##.###.#.####.#..##..#.#.#.#...######.####....#####..#.####.#..##.##.#.#.#...####..##.##...####.###...##..#..#.####..########.##.########.#...###.#####.#...###.##.#.#.#.#.#...#.###.#.####.#....##########.#..##.#.###....######..##.#.#.###..#####.##..##.#....###.#..#....##..##.....####..##.##..###..##.#####.#.....#.#####..####.##.##.##...##....#.##.###.##...##.#######.#.#####.###..###.#..##....#.#.#..#######..#.###########.######.#############.######..#....####..#.#.#......###..#.##.#.#.#####..##..........##.#.#.##.##...#.#.###.##.############...####.##.####.#..#.####..#.##.#.####....####...#.#.#.#.##.#.###.....####.##....#..#...#
#....#####.##.#...##.#..##..##.#..##.#.#.###.#.#.#..##.###.##.#.##.#.#.#....##..#..#.#.###.##.##.##.###.##......##.####.#.##.#.##.###..##...##.##...#.#.###.##..#.######.##...####.###.#.#.###.#.#.#.#.#####.#..#.###.#.#.#.##......###.##.###..##..#.#...##..##.#..##....#.##..##.##.###.###.##..###.##.##.######.#.#.###..##...#.#####.....##.##.####.##.##.#######....#.##..##.#..####..#.#......#..##..##...##.#..####.####.....###.#####.#....##......##....#.#.##......#.#.#.#####..###.##...#.#########...##.....#.#.#.##..####.#.####.#....#.##.###....##..#.#..#.#.####..#.###..##..##....####..##.#..#....######.#.#..#.#.#####.#......##.####.#..#####.#.##.###
####...##..##.#.####...####.#....###...#.##..#.#.#.##...##..#.#.#..#.#.###.####.#.##.#.##...#.##.##.#.#..####.###...##..#....#.....#..##..###...###..........##...#.##.#.##.###.#...#....#.#.#.#.#.#.....#.####....#....#.#..##.#######..#...##..##.#...#####..#.#.##..####.#####..#..##.......##.#####..##...##.....#...##..###......##.#####......#.#..#..#..#.##.###.##.##.######..#.##...##.##.##.####..#.#.####.##.....#.#######...####....#.##..##.#..#.#.##......##.#........#######.#.#..#...........###..#####..........##########.#.#.##........##.####.##.#.##.#..##..####...##..##..####.#..###.#.##.####.##.#.#.#.####.##.#..#.######..#.##.#.##.###.#.#....#
#....####.##.......#.#..##....#####..#.#..##.#.#.#.####.##.##...##.#.#.##...##.....#.#.###.##..#.##.#.#.##.#...####.###.#.##...#####.##..##.###.#.###.#.####..##.##.##.#.##..#..###...####.#.#.#.....#####....##.#...####...##..##.##...##.#####..#...########...#.###.#..#..##.##...##..#######..#...##.##.######.#...#####.#...##.###.....###.###...##...##.##.##.##..#...#..#.####...###.##..#####..##..####....#.##.#####..##.....#..#...########.####.##.#.#..#.#.###.#.##.#####...#.#.....###.##########.##....##.##.#.#####....#.#.#.#...##.########.............#.#.####.#.##.#.##.####.###....###..#..#.#.#..##.#.#.#.#.#...#.##.....##.##.#.#..#.##.#.#.....####
####..##..###.######.##.####.##.##..####.##....#.#..##........####.#....##.#####.###...#.#..##.#.##.#.#..#.###..##....#....##.####.#..##..#.##..#..########..##.....##...###...##...#.###........###.......####..#.#..#.###..#.##...###..#...#.##...###.#.######...#.#.#.##.###..##.####.###...##.#.###..##..#..######...#...#.#..###.#.#####...###.###..###..##.##.#..##.###.##..#.#.###.#..##...#.##.#..##.##.####..#..##.#.#####.####.#.###..##.##.#.#########.####...#.#.##.....#.###.#.###..#######..##.#..#.##.#...###.....##.###.#.#.#.######.##..##.###.###.#.#.....#.#.....#.###..#.#....#.####.##.#.##.....###.#.#.#.#...###....#####..#......##.##.#...#.#....#
#.###....##...#.#.##.####.##.##..##..##..##.####.#.#####.##.###..#.###.##....###.#.##.##.##.##.#..#.#...##.##..##..####.#######..#.#.####....##.##..##.#..##.##.######.#..#..########...##.####.##.###.##.##.###.#.#.##.#.##.#.##.######.#.#.#..###..#..#..##.##.###......#.#.##.#..#.#....##.##......##.#..##.##.#.##.###.###.##..##.#.##..###.#.###.##...##.##.##.#.##..###..##...#..##.#.####.##.##.##.#......#.#.##.###.#.#.#.#..#.###.#.##..........##..#.#....#################.##..#.######.....#.###.##.####.##.#####.####...#...........##...#.##...####.######.##...#.###.....##...##.###..##..##.#.#..#####...........#...#.##.#...##.##.##.##.......#.########
#.#.###.##..###...##.#.##.#...#.###.####..#.#.##.....#.#.####.##.#.##.....####........##.#..#....##.###.#..#..##..##.#...##.##..##.#.#.##.####...#.##..##.##....#.##.####.##..##..##..###..##.###....#######..#########.#.#..#.#...##.#..#.###.##.##...##.##..##.##..######....#.#.##.##.####.#..#.#####.#.##...#.#.##..##.#....####.....##.##......#..#.#.....#.#..#..##...##.####.##..#.#.#.##............#.##...#......#.........##..##.#.#..##.#.###....##...####.#.#..###.###..#..##.#........#####.##......#.#.##.##..####.#.###.#.##.#.######.##..##.##.#....###...#.#....########..###......###.##......####.######.##########.#....####.#...#####.#.####...##.###
#...#....##.....####....#.###.#..#...#.##.#.#....##.##.....#..##.#.######.##.######.###..##...####....#.##.#.##..###...#.#...##..#.#...##.#..#.#....##.##.###.###.##..##...##..##..##.#.##....####.###..###..##.#.##..#.#...##...###....##..##.##....###...##.#..###.....###.###...##.#...#.#.#.######.#.#..##.##....##..#...#####.##.####.....#.#.##.#####.#.##.##.#.###.###...##..##.##...#.#..#.#.#.#.#.######.##.#.##.#.#########..##..#.#.##########.#..#.###.##.....##.#.#.#.##.##....#########..#.######.##.#.......####....###.########.#.##.##.###..#.#.####.##.#########.##.#.##.#.##.#.###.#..##.######.#.##..##.......##.#####.###.#.#.###..####...######....#
###.##.####.#.###..##.###.#.#.##...###..#.#.##.#.####..#.#...###.....##...##.#.##.#...##.###.##..####.#..#.#..#.###..######.####...##.##..#.#######.##.....##.#.#..##..##.####..##.##....#.####.#....##.....###....##.#.#.###..###.####..#.###..####.#.##.##....##.##.####...#.##.##....#.#.#.....#..#.#.#.##..####.##..##.####.#..#.....#.#####.#.##.#.#####.##.##...##....###..##.#...#.#...#.####.#.#.#......###..######.###.#.....####.#...........#######.##...#.###.#..#.#...#...####.........##....###....#.#.##.#####.#.####.#..#.#####.#.##..#.#.#.##.....#...#####.#.###....#.##...##.#.#.....##....##.#......###.#######...##.#.#.#.......##..##..#..###...#.##
#.......##..###.#.##..##..#.#.##.#...#.##....#.###.#####.#####.####.####.###...##...###......##.####....##.##...#.##....##...#.#.###...##.#...##.....#####.##.#...##..##..#..##..#.#..####.###....##..#.##.###..#.###...#.#.#.##.#..#.#.##.#.##..#........####.###....#..##.##.##.#..######.#.##.##.##.#....#.##.#..##.##.......##...#####.....######.#..#.#..##.##.#####.###.#.##....#...#####....#######.####..###..##.##.......##.##.##.#.######.#.##.#.###.#..###.#.####.#.##.##.###.##.##########.####.####.#....###.#.#....#.#.#.##.#.#.#....##.#.#.#....#.#...#..#.#........##.#.##.####.####.####..##......####.##......#.##.##..#...#.########.##..###.....#.####
######.####..##....##..##.#...##.#####.#####.#..##.#.##...###...#.#.#.#..##..#####.##.######..#.##.####.#..##.#.#....#.#####.#...#.##.##....########..#.#..#....#####.##.##.##..##.#.##..#.....######....###.#.####.###...#.#..#.#.##.#.#.....##.###.##.###.#..#.####...##..##.##.#.##.#.#.....#..#.##.#.##.#..#.#.##.....#######..#....##.######.#.#.#.##.##..#..#..#.#..##..#.###.#####..#.#..#.######......##.#.#.##...#.###########..........#######.....#.#.##...#..#.#.#............#.#......##..##....#.#.##.#..##.#.#.####......#.#.....####........###########.....##.########.##.##....#.#.##.#.####.######.#####.#####.#...##.#.###.#.#.##.#..##.#.#########..#
##.#...##...##..####..##....###.....##..##.#...###.#.#..#...###.#.#.#.##.##.##.##...#.##..#..##.##.#.##.##..#.####.########..##.##.#...#.####.##.###.##.##.####...##..##.#..###..#....##.#.###.....###.#.###....##..#.###.#.#.##.#.##.#...##.###.##...#.##....##.##.#.###..###.#..#.##...##.#######.#....####.##.#.###.####..#.##.####.##.........#.#.#.##..##...##.##.##..##.#..##...####.....#####.#.###.#.#####.#....###...#....##...###.##.###.#.##..#####......#...##.#.#.###.#.######.#.######..######.#.#.##.##.............###.##.#.#####..###.####....##.###.########.#.....##.##..#.##.............#####.....##......##...###..#..........#.#.##.....###.#.###.#
#..#.#.##.#..##....##..##.######.####..##..#.####....####.####.........#.#......##.##..##.#.##...#.#.##.###....##....##.##..##...#.##.##...##.##.#.#.##......#..#####.##.##..##.##.####.....########.#####.#.######.#.....#...##...##...#.####....##.######.####..#.#.#.##.#...#.##.##.###....#.###...##..###.##.....#.##...##....#.######.###.#.##.#.#.##.##..####.##.##.##..##....###.####.#...#.#.#...###..##.....##.##..###.##....#..#####...#.#.##.##.....#.####.###........#######.......##.###.#.##.#.#....#.###.######.#.#...####.#...#.#.##......##.#.........#..#..######.###.##.##.###.#########.##...#.########.#######...##...####.#####.#.###.####.#....##.#
##.###..####.##.####..###.#.#.#...##..####...##...######..#..#####.#.#.....##.###...#.##.....#.###...##..#..##....#.##..##.#####.#..#..#.####.##.....#######.#.##.#.#.##.##.##......#...#.#...###.....#.#....##.##....###.#.######.####.###.##.####..#.#.#..##...##.#.#.##...###.##..#.#.##.###.#.###.#####.#....#####..#.####.####.#.##.#.#######.......#.##.##.#..##.##..##.#..##..##.#.##.#.###.#.#.#####.######.#######......#.##.####.#.##.##.........############.##.##.#####....##.##.####..##.#.##...##.#.#..#####..########..#.#.##.##....###.#######.#.##.####.##.##..#.#.##..##.##.#.###.#.###.######....#..##.....#..##.###..#.#######.#..#.#......#.#.####..#
#...#..####......##..##.......##.###.##..#.#.##.###.##.##.#.##..#..#.##.##.####...#.#..##.####..##.#####.#.####.#.#####.#..##.##.##.##.#..##...#####..###......##...#.#...#..#####.##.######.##.#.#####.#.####...######.......##...#.#...#.....##.##.#...#.###.#.........##.##.#..##.#...##.#.#.#.##......#.####.###.#.##.##.#....#.#..#......#.####.#####.#..##.#.##..##.###...#######.#.######...........###.......#.##...#.#######..###.#..####.#######......##..##......#.##.#..#####.####..##.......###..#.###.##.#.#.##.#.#.#####.#.##..##.###.#.#....##########.......##.#.#..##.#..##....##........#.#.####.#.#####.###.##..#...##.....##..##.#.#.#.#.##.#....##.#
###.##.##.####.#..##..######.##..#....##...###...#.....##...###.#########....######.#.###..##..###..##.#.#.##.######.#..#.##..##..#.##.#.#####..##.#.##.#.####.###.##.##.##.###...........##...................#..########.#######.#.#.###.#####...#.#.###...###.#.##.####..#..#.##....###..#.#....##.#####....#.#.#.#....##...####...##.######..##..#.##..##.......##.#..##..####.##...#..##.#..#####.###########.###..##.##...#.#.##...#.#.###.....###.########..##..#.#.#####...##.##....##.##..##.#####..##..##.##...............##.#.##.###.........####.#.##.##..########...##.##.#.####.#....########.#..#.#....##.#...#.#..##.#####.####..##......######...##.#..#
##..##..#.##.####..##..#.##..###...##..#.#..#..###.#####..#..##.#.#..#.###.###.#.#..#.##..##..##.#.##..#.......#.##..##.#..##..##...#.....##...##..#.#..####.#..#...#.#..##...####.##########.#.#.#.###.####.###.##...##...##.#.#......#.#.##.####.....#.#.####..####....##.##......####.##.....####...#.#####.#.......#####.###....####.#....#.####.#.##.####.######....####.##.#.####...##..#.###.######.#.##..#...##.....##.##....##.##.#.#.#.###............##.#..##.###.#.##.##...##.####.##.#######.##..##.....#.###########.###..#.#...#..##.#.#.###.#.#.....##..###.##..###...#.#.#.##.###.######......##...##.##.#.###.##.....#.####.##.###.####..#.#.#.#######.#
#..####.#.##.##.##..##...#..##...#..#######...##.#.....##.####......##.......#...##.#..##.##.###.#.###...#####...##.##..#.##..##..###.########..##...##..##..##.##.##.##..##.###...#.......##.########...###.########..###.##.#.#.###.##.......##..#####...#..######..####..#..##.#...##....#.#.###..###.#.#.#...#######......##.######....##....##....##...##..#..##.####.##.......#...#....##...#...#..#.#..##.##.###.######....##..#...........####.#.#.#.#####.#.##..###......#..####.##.#.##.#.###...##.#####.###...#####...######.#.##.##.##########......###.##.##.#.##.##.###.#.#.#.#....####.....##.#####.######.#.###....#.###...##.##......####.#.#.#.....##..#
#.###...#.#..##....###.###.##..######..##...####.#.#.###...###.##.########.###.####...##.....#.....#.###....#######..##....##.###.##.......###.##..#.##.####.##.#..##.#..##....###...#.########..#.#.###...###..##..##.##...#.#.....#.#..#########.....#.###.##.##...###.##.#.###.#####..########.#.##.#.#.....#..#.#....##.###.....#.##.############.##..####.##.###.##.#.##.#######.###.######.##.###.##.#.##..##.#........##.#.##.##.#.##.##.#...##.#####.###.#...#####.######...##.#..##.#.##.#.#.###.##..#.#...##.###.....#..##.##.........##.#.###.#.####...###...#.#.##.....##.#.#.#.#.#####.##.#########.#.##.##......##.######..####..##.#####.####.....#.#####.#
#.#.###.#...######.#...#....##.#.##.##..###..#.#...###.##.##.####..##..#.....#..##..########.#.#####.##..####.#.##..######..#..##.##.####.##...#####.#....##.##.##.##...######.##..#####.#.#.###.#.....#.#..##.###.###.####.....########..#.##...#.#####..#..##.####...#.##.#...#####.##.#.#...##...##.#...#.###.##.#.#######.#.#####.##.....#.#.##...###..##.....#.#.#..#..#.#.....#.#####.#.#..##..##..#.#..##......###########..########...#.#########.##.......#..##...##.##..###..#.##.........#..##.##.##.#.#......#.#####.###.##.###.#.#.......#....###########.##.#.#..#.###..#.....#.##.........#..##.#....#.###.#####...#.##..###.#.##..###.#.#.#..#.#.###..##.#
#...##..##.##......#.###.####.......##.##...##.#.###.......#..#.##..##.###.#.#.##..###.##....#.###...##.###.#...###.####.##.#.##..#.....####.#...##....##.#..##..#.###.##..##..#..##.......#..#..#.#.########..#.#.#.#.#..####.##..#.##..##.#..###..#....##.##..#.###.##.##...#..##........#.######......###..##.........#.#..#.##.##.##.#####...####.#.##..#.#####...#.##.##.#.#####.#.......##.#..##..##.#.###.##.#.......#.########.#..##.########.##...###.######..###.##.###...##.#.#..#####.#...##..##.##.#.###.##.......####...####..###.#.#.###.####...#.##.#..##.....##...##.#.###......#.###.#.#.###.####.#..#......##.##..##.#.#....##...........####...##.#..#
#.#####..#.####.##.#.#.#..#.##.###.##..###.###.#.#.###.###.#.##.###........#....##.##...####.#.....#.##.......###....##..#.....#.##.##.###.#####..##.#..####..##...#....##..##.#.###.#######.##.##.#####..#.#.##.#.#.#.##..##...##.#.##.##..##.#...##.####...##.#.#......##.#########.######....####.#.#..###..#.##.#.####.#.##.#...#.##.....#.###.......##.#.#.#.###.#..#.......##...#.#######..##..##.##.......##.######.##.#.##.......###...#.........#####...##.##..##.#...##.###..#.##.##.######..##.#.........####.##.#####.#.#..#.##...#.#.###.#.###..###..#.#.###.########.#..#.#.###.############...#.###....##.#######....##......####..#########....#.###..#.##
#..##...##....####.#.#...##....#.###..##...##........#.#.#.#.##..#..###########.....##.##.##...#######..#.###...##.#####.###.###.##.#####...#.#..######..##..#####.##.####.##..#.#......#...........#..##.#......#.#.#.###.#..###..#.##..##.#..#.###...####.##..#.####.###...#.#.#.##...##.#.####.#..####..###.########.#..#.##.#.###.#..#####..#####.#####.#.#.#.##....##.####.####.##....##.##.##.###....#.##.###......####......##.#####..#...######.##.#.##.##...##....#.#..#..###.#.##.......####.##.#.##########.######.#.#.###.##.##.#########.#...##...#.##.#.#.#.#.##..#####.......#....##...#.#..###.#.##.####.#.#.#.#.######.###....##.....##.#########.##.#.##
##..##.##..#####.....#.###..####.##..#####..#.###.######.#.#.###.####...##....##.####..##..###..#.###..##.##..#.#..##.#.......##.##.#.#.##.##...##.##...####..##.#.....##...##.#...####...######.##...###.#.######.#.#.......##.##.#..#.##....##.#.##.##.#...##...#..#.####.##.#...##.###....##.#...###.##...#...#.#.##...##.##.#.#.#...####.#.##.##..#.##...........####...#####.#.....#.##..##.#...#..#.##.##...##.###...#..###########.##.#.#######..#..#.#####.#####.######.#.##.#.#.##.####.##.#####.#.##.###.......#.##.#.#.##......#..#.#.##.#.#.####.###..#.#.#.#......##.#.###.##.##.##....###.#.####.#.#...#.#.#...#.#...#....##########.####....#..#.##.#.....#
###.##.###.##..#####...#.##.#.##..##..#.###....##....##.......##..####.######.##....##.#..##.#.##..#..#########.##....##.##.###.....#.#.##..#.####.####.#.###..#...#.#..###.##...#....##.###.########.#.#.#.#.##.#.#.###.#.#..#..#.#.##.#####....#.##.##.##.#####...##.#.#.......#.#...#####.##...#......#.#######......###..#........###......##.##.##.######.#######.#..#...###.###.#######....#.###.#####.#######...#####.######.##.....#####.#...##.#.##.#.#.#.....####.#...#.##.#.#.....###.##.#.#.#..........#.#.#..........#..#.##...##.#.##.....#.#......##.......###.##.....#...####..##.#..#.....#.#.#.##.##.#.#.###.#.###.####..###.#.#...##.####.##.#....##.##
#....#..#...##.####..###.#.....#.###.##.#...##############.####..##..#...####.##.####..##.......##.##..##.....#.###.#######.#.###.###...##.##.##...#.##.#.#.##.##.#####.#.#....###.#######.#...##..####.#.#.#.##.#.#..####.##.#.##...##.#.###.##.#............#####.##.#.#.#########.#..#.#.....#.####.#.#..#.##.######.#.##...##.#.#..#..#.####.....##..##.##.##.##.....######.#.##..#..##.##.###.###.#.#.###.....#.#.................######.##...######.#........##.###.#.###.#.#..#.#.#####.###..#.#.#.##.#######.####.##.#.####.####..#....#.####.###...###.###.#####.###.###.####.####.##########.#####.#.#.##....#....##...##..#.##.##.#.#...###...#.#....####.#####
##.#.##.#.####.#..##.#.#.#.#####.#....#.#.#...##.##.#.##.#..#.##..##.#.###.....#....##.#####.####...##..##.######...##.##......##.#.#.###..##..###.#.#..#.#.##.####.#.#.#.#.#.###..###..##...###..##.#........#....##...####.......#.##.#.#.#.####.########.#.#.###.#..........##.#..##...##.#######.###.####..#.#..###...##.###########.#####.#####.##.###.##.#..##.###..........##.##.##..##..............#..#.#.###.###.##.##########....#.#..#.....##.#.####.#######....#.#.#.##.....##.#...#..##.#.#.##.......#..#.#..######......#.##.####..##..#...#######......####.###.#.#.#.......##.#.#.##....##......##.####.####..#..##.#.##..#.#...#.....#.....#####.....#.#
####.##...##.#.##.##.........##....####.####.###..#.#.#....##.##.##..#.#.#####.####.#...##...#.#..#####..#.#.#..###....####.##.#......#.##....##...#.##.....##.#.#..#.......###.##.....#####.#.##..#.#####.####.#####.###..##.########..#.#....##..#..##.######.#...###.#########.##..###.....##.#.....#...##.##.#.##.#.###...##.#.#.###..##...##.##.##.##..#....###.##..#.#.##.####.##..#.####.##.###.######.####.##...##.####.##..#..##.###.#.#########.....####.#.#.####.#.....##.######...###.##.......#.#.#.####...####..##..#########.##.##.##.##.#####.###.######.##..##.#.....#######.......####..#.#######....#......#####..#.#..##.#.######.#####.##.#.###.###.#
#.#.....#..#.#.##.##.#.##.#######.##..#..#.#...##.#...##.#.##..#..##.#.#.#.....##.#.#.#..##.##.#.##..##.##.#.#.####.####.##.######.####.##.##.####....#####.##.#.##.##.####..##..##.#.###.##.#..##.#..#.#..#..#.#.#.#...#.##..###.#.###.#...##....##.##...##.##.###.#........###..##.#######.###...#.###.###..##.#.##.#.#.##.###.....#.##..###.##.##.##.###.##.####...#.##.#######.#..#.##.#.#..######..........############.#.....##.##...##.....###.#.##.####.##.#.#.#.#..####.##.....#.#.###....##.######.#.#....#.#....##.###...#...#.#.#..##.##........#.#...#.#.#...#.##....#.#.......#.###.#.#..#.##.....#.#.####.######.####.#...###.#..#...#.....#......##...##.#
#.#.######.#...##..#.########..##..##...##...####...######.##.##.##..#...#####..#.#.###.##...#......##..........#.#.##.#....#.##....##.....####..###.##.##...........#.#.#####..########..##.#.##..#.##.#.##.##.#.#.#.###.#..##.#....#..##.#####.##.....#....##.#.....########...##......#.#.#...#####.######.##.#.#..#..........#####.###..##..#.##....#.#.#..##.##.########..##..#.##....#.#.##.##.############.#.###..##....#####..##.###..##.##.#.#..#....#..#.#.#...##.###...##.####.#.#.#.#####......#.#.##.##########...#..###.###.####.##.##.########.#.###...#.###.##.#.##.#.#######.#.######.#.###.####.#...#..###..#.#.#..#.####..#.##.#######.#.#.#.#####....#
#.######...#.#.###...######.##.##.#####.##.###..##.####.#..#......##.#.###..###...#.##...#.###.#######.###.#.####...##.####.#..##.#####.####.#..##.#..#.###.####.#.#.........#.##.#..#.##.##.#..##.#..#...##..........##..##......####.###.#.#####..#######.###.#####..##.#..#.#....###.##.####.##.##...#..##.##.#.##.#.###.#.####.#.#..##.###.##..###.##.#.##..#..#...#..#.#.####....#.####.......#.##...##.##...#.#.##....#.####.##.#....#.#####....#.##.##...##...#.###..#.##.##...................#.#########..#.##..#.###.#.##....##..##..##.##.###...##....#..#........#.####.#.###.##.....#.##..#..#....##.#.###.##.##.#...##.#....##.......####.#.#####.#..#..####
#.##.....#...###.###.#.##...#...#.#.##.......#.##..#..#.##.#.#######...##..##.###.#..##.##.##......##...#######.###.##.#..#...###...##.....#.#.##..##.#.#.######.######.######....##.#..#.#..#.##..#.##.#####.#.###.#..##.#..#.####......#...#...##.....###.#.........##..#.####.####.####..##........#...###.#....##.#..########..#...##..#...##.####.##...##.##.##.###.##.....##.####..##..#.#.#......#.#...#.###.#.##.######....#....##....#..##.###.##.####..#.###..##.##.#.....#.#.####.#.#.##.#.#.....#.#.####..##.#..##....#.#####.####..#..#...#.####.####.####.##.#......###...#..##.####..##.##.##.####.#........##...###..#.#####.##.##..#.#.###..#####.##....#
#..#########..##..##....##.##.###....#####.###.##.##.##.##.#.###.#...#####..#..#....##..##....#.#####.###.#.##..###.##.##.#.###.###....##.##.#..##.#..#.#........##......#.###.#.###.#.##.##....##.#.....#.#..###########.##.####.###.####.###.###..#.###.##########.####....##........#.##.##.#####.###.###..###.##..#.##.#.#..##.#.#####.#.###..##.#.###.###............#.#####....##.##..##.#.##.#########....##.#.......##..####.########...###...#.......##.#.....###.##...###.###....#######..#####.#.#...###..##..#.##..####...#.#..###.##.##.###.##.#.#......####..#.##.#########.###....#.###.##.....##....#.#.##..##.##.##.....##...#######.#..###..##...#..####
#.##..#..####..##.##.#####..#.##..##..##.....#.#.....##.##.#.#.#.###....###.##.####.#..##..####..##.#..##....##.#.#.##.#..#.##...##.##.#####.#.##..##.#.#####.#.#######.##...#.###.#.#.##..#.#.###.#.#####.##..##....##....#..##..#.#..............#####...#..##.#.#..##..####..##.#.#.......#...#########.#.##....##....#.....##......##..#.###.###.#..#....#.#####.######.#..###.####....##..#..#.###.##.##.#####...#######..###.#.##.#.###.###...###.##########.#####.#..#.#########.##....#..##.....#####.###.##.###....##.#..#.###.##..#...................#.#.##.###.#..#.##....###.....##...##...#.#####..#.##########.....##.########..#........##.##.####.#.###.#
#.###.#.##.###..#.#....#.#.##..##..######.####.#.#####..##.#.#.#.#.#.####........#..##..##...######...##..####..#.#..#.##....##.##..####.##..#.##.##..#..###..#.##......#..#....##.#.#.##.##.####.....#.....#.###.########.#.###.##.#.##.#.##.#.#.##...###.#.##....##..##..#.##.#######.#.##...#......#.#.....####....#.##.###..##.#######.........#.##...####.....#.##.#.#...##...##.#.##..####.####.#..#.#.....#..#......###..............#..##.#####.###...#.#..#####.##...........#.##.#.##.##..###....#......##..##.#####.#.##......##.#.####.#.#.##.#.##.####.....##.#.##..#.####...###.##.######...##.##.####...#..##..#.#.#..#.#.#.##.##.###.####.......##.......#
#........#.#.#.##.#.####.#.#..##..###.##..##.#.#.#.#.##.##.#.#.#...#.#.#########.##..#.##..###.###..#....##..##.#.##.#.##.#####.##.##.##..##.#.##..##.#.##.##.#########...########.....#...#..#.###.###.#####.#....##.#.#.....#...#....#####..#.#....###......####.##.##..##......#.##..#.##.###.######.#.#####.#..#######.#.####....#.##..#########.##.####...#######......######..#....##..###.#.##...##.#.#.#...###.#####.#.######.#.########...##.#.....###.#.##...#.##.#####.#.###########.###...#.####.########.#....#.#.#.##.######.......#.#.#.####..#...##.#.######..##.....##.#######.....##..####.##.######.#.##..#######.......##......###.###.######..###.#.#
##.##.##.......##.#..###...##..#.##...#..###.#.#.#.#.#..##...#.###.#.....##.......##.#....####.#.####.####..##..#.##........##..#..##.#..###......##..#.##.######.#.####.##.##.#.##.####.###.##.##...##....##.#.####....##.##...#...##.....#.##.#.####.####.#..#.#..#.##.###.###.##.############.###.#....#.##..##..###..#....##..####..##..#.#.##.#.#.....###.....##..########....##.##..####.###....#......####.######.##.........#.#....#.#.##.###...#.#####....###.#.##...#######..#.##.......#####.......##..#.#.##.###.#.#.......#.#.###########.#..#####.#########.##.##..##.###...#...#########.#.#......#.#.#...##.##.#######.###..##.###..##..##.##.#...######.#
#####..###.#.#..#.#.##.#.#####.#.####.##.#.#.#.....#.#.####.##.##..#.#######.#.##....###.###.#....##...#.##.###...###.#########...##..#.##.##.#######.#.##.#.##..............#...##..##....#....###.##..####.......##.####.#..####.##..##.#########.##..#.###.##.##.#.##.#....##.....#.#.#.###.###.#.#.####..##.##.##.##.#.######.###..###.##...##.#...#####.#.#######.##.#.#.####.##.###.###..##..#.##.##.#....###.#.##....##.########.##.#...##.#.#.###.###.###.##.#.#..#.###.##.##.##....##.##.....##.##.#..##.#.#.....##.#...#.#.###...........###...###.####...###.#.###########...#...###.##.##.#.....#.##.#...##.##..#...#.#.#...###.##.#.##....##.......#......###
#.#.###########......#....#.#.....##..#..#.#...#.###.....##.##..##.#....#.##.#######.###.#.#.#.######.##.##...###.#.........##..#####.#.##.##.....##....##....#####.####.##.##.####.##..####.####....##.#..#.#####.##....####....#..##..#####.##.##..##.#.##...#.##...#..#.#######.#.#.....#.#..#.......##..###.##..#.#......#.#....##..#..##.####.###.#...#.#......##..#.#.#..##...#.#.###.#.##..##.##..#.##.#..#.....#.##..#........######.###..#....####.#.##.....#...##......#.#.....#.############...###.###...#.##.###.#.#######.##.##########...#........#.###.......#...##.##.#######....#.##.#.##########.#.#...##.#.###.#...#..####.....#######.###.#.###.######
#....#.#.##.#.####.###.####...#######.#.##.#.###...##.####...#.##..#.####.####...#.#.#.#.#.#.#..##..#.#...##.##.#.#.#.#.#######..#.#....##....#########.##.######...#....#####..##...##.###..#.####.##..#.##..#.#####.#####.#.#########...##.....##.##....####.#..###...##....#.##.#...#.###...##.#######..##...#..##.#.######.#.####..##.##...##...##.#.###.#.###.##..##...#.####.##....##......##...#.##..#.##...###...#####.#.#.####...#....##.#.####.#.....####.##.#....##.#.#...##.#####.#.####..#####...##..###.#####....#...##...........############.##.......#.#.#.#.#.#.......####..#.##.#.....##..#..##.####.##....#.#.##.###...#..#.#..#.#.#...############..#
###.##........#.##.#.#..#.###..#...##.........######.....###.#.###.#.##.#...##.#.............##..##.#.#.####.##.#.#.#######.#.#.##.####.##.####..##.##..##.##.#.########.#.#.##..##.##....##.#..#.#..##....#.##...##....##.....#.###.#######.#####...###.##.##.#.###..####.##....#.#.#.#####.####.##..##..#####.##..#.#.....##....#.##.#.....######..#.....#...#.#..##.##.###.##.#....##....#.##..##.##.##.##.##.#...##.##.#########.####.#.####.....#.....###..##.....#########...######.....#.#....####.#######...#..##.##.#.#.###..######.####..##..######################.#.##.##.#......#####...###.###.#.###..##...#.####.#....#.#.###.#####.......#..##.##.##....##
#...######.##.#.#..#.#.##..##.##.#####.#.#.####.#.#..#####.#....##....#.#.################.#####..#..........##.#.....###.#.#.#.##....#.##..#.##.#..###..#....#.###..###.#...##.##...##.###..#.##.##.#..##......###..#.#####.###...#.....##..#.#.##.###.....##.#.#.##..##...##########.##..#.##.#..##..#.##.##..###...#.######.####.##...######...##...#####.###.#####..#..##......##.##########.###############.#.#..###..#...##.##..###.#....##.####.#.#.########.####..##.#########.#####.##...##.##.#....##.##.##.##..##.###..###.....#####.#.###.##....#..#...##..#.#.#..#.#..####.#.####.##..#...#.#.#.....##.#..###...##.#.##...#.##...######.#.#.##..#....#..#.###
###.#.#..####.#.##.....##.###..#..##...#.######.#...####.#.##.###..#.##.#..#.##.###.#.##....#..##...###########.###.###.#...#.#..####.#..##....#.##.#.##.##.#...#.##.#.....###...#.###..#.##.#.##......##..###########..##.......###.#######...#.#..#.#####.##.#.#..#.###.#...#....#######.#.#....####....#.##.##.#.###..#.#.#.##.#.####...##.#.######.....#..#...#..##...##..#.##.##..#####...####.##.##......#.#.##..#..##.###.....##.....#####....#.#####.##..##..####...............##...#..#######.#.####.....##.##.##...##.##...#.###.##....#....#.####.##.#####...#.#.#####....######.#..####.#####.#.#####....##...###.....#########.##.#.######..##.#.####.####.#
#.#.#.##.##...#..##.#####.#.##.#.##..#######..#.#.#.#..#.#..#..##.#####.#.##.#..#...#..##.###.###.###.#.##.......#....#.#.#.#.#.##..#.#.###.####....#.#..#####.##.#..#####.#...###..###...##.#.####.######.#....#.###..##..##.#.##.#.#.##.##.###.#.##..#.........#.##.....#.###.####.##.##.....####.#####.#.#..##.#.....##.#.#.......##..###.....##.##.#####.##.###.##..###..####..##.##.....#####........###.##########.###..#..#####..#####.#.#.####..#.##..#.##..##.#..##.#.##.####.###.###.####...#.#..#.####.##..#...##.###..##.######.#..####.##.....##........##.##...#.#.#.######..#.#.##.#....##..#..#..###.##..###.#.#######.#####..#.....#.########.#......##.#
#.....#...###...###.####..#.##.#..##.##.#..##.#.#.#...##.##.##.#...##.#....#.##.###.#.##..###..#.........#######...####...###.#..##.....#.#......##...##..##...##.##.##..#...###...##.##.###...#.#...##.####.####.#.##..#.#####.##.#.#....##...#.#..##.#########......#.#.###.#..#.#.##..####.##.##..##.....#.##....#####......##.#.####.....#####..#...#.##.##.###.#..###..##.#####.....##.####.#.#####.######.##...#.#...#.##.##.###.##.#.#.#.#..#.#.##.##.##.###..#...###.#..#...####....##......###.##.#.#.##..##.#.###..#.##.##...##.....####...#######..#.##.###...##.##.#.#...#..##.#...##.##.###..##.##.##.#.#..####.....#.#.....##..##.###....##...##...######..#
##.##.#.###...#.##..#..##....#...###.#....##..#...#.###..##......####.##.###.#..#.#...###...##.#.######.##..#..###..#.##.###..#.######.##.#.##.#.#######.#####.##.##..##.#.#...##.##..#..##..###.###.#...##.....#.#.###.#.#...###..#...#.##..###.##..#.#....#.##.#.#.########.#.##......##........##.###.#.##..##.####....#.##..###.##.#.#.#####.##...#.......#.#.#.#.##.#.###..#.###.#####............###..##...##.##...###.##.........#.#.#.#.#.##.#.##..#..#.#...##.###...#.##.#.#..####.##.######...##.#.#.###.#....#.##.........####.######.#.###...####.######.##.###.##.#...###.##..###.##.##.#...###.##.##.#.#.##..#.#####.#.#####..##...###.#..#.###..#..###.##.#
####....#.#####.##.##.#####.##.###.#.#.######.#.########..#.####..#.#.#......##.#.###..##.###........######.#.##.#.##..#.#.##.#..##..#......######.#.##...##.#.#.....##....#.#..#.###.##.###......##.#.####.#####...#.#.#.#.######.#.#######.#.#..#.##.##.#.#.#..###....##.........##########.######...#.#####..#....#.########.###.#..#.###.#.#..#.#.##.######.....#..#.#.#.#.##.#.#.....#.#.##.#.###...##.##.#.##..###...#.##.#########.#.#.....##.#.##.##.##.#.###..#####.#.####...##..#.##.##...###.##.#.#..#..#.####.##.##.###.##...............##.##.#...#..##.##.##...#...#####.##.###..##.#....####..##.#....#.##.##..........##.##..#.###.####.....##.##.#.#..#.#
#.#####.#..#.#......#..#.#..##.#.#......##.#......###....####.###.....#.#.#####.#..##.##..#.##.#.#.#.#.##...#..#.#..##.#...##.#.####.##.#####.#.#..#.#..####...#####.##.#########..##.#....#.####.#.....##....####.##...#....##.#....#..#.##.#.#.##.##..###.#.##.#####.####.##.##.###.#.##..#..##..###....##.#.##.####.....##.###.####.#..##.#...####.######..##.####.##.#...#....#.##.#.####.##.#...#####..#..####.###..#.#.#.....#.##...#.#.#####.....#.##..#.#...#.##.#.#####..#######...#.....###........##.##...###.....##...#.##.#########.######..#...###.###.......#...###.#.#......##.#..#.##..#.##..#.#.####.#.....########.......##.#.#.##.#####.##..###.##.#.#
#.#.#...##.#.###.####.##.##.#......##.###..##.#####.####..##...##.#######.###...##....###.#....#######..#.#.##.....###.##.##..#..##.............##...##....###....##.#....#....##.##..##.###...#####.#####.####.##..###.#.#####.##.###.##.#..#.#.##.###..#..#.##....####.#...#.####...#..##.##....##.#.#####.#....##.#.#####...#...#.#.#.##..###..##....##.##.##..##.......#...####..###############..#.###.#.###.#.#.#.####.#.#####..##.##....####.#####..#.##...#...........##.##...##..#.#.#####.###.######..##.###.##.####..#.###...#.###.######..##...#......#..#.#########.....#.######..##....#.##..##.#....###.#.######.#.######.####...........#######..#..##...#
#.#.###.##...###...##..#.#..#.#########...##.....##.##.##.###.##..#.##.#....###.##.####.....#.####..##.####.#..#####...#...##...##..###.#########..#....#####..####....#.##.####...##..#..##.###.#.#........#.#.###..##...#.##..............##.#.#....##.##.#.##.##.#..#.##.####.##.###.##..##.#####....##.#.#.##.#..#.##.##.###.###.#.#..#.##.##..##.###..##.##.##..####.##.###.#..##....#..##.#.##.##.#.#...#.#.#.#.#.#.#........#.###..#.####..#.##.##.##..#.###.#.#.#######...###..##.###.#.###..#.....####..#.##........########.###.......##.#.####.#########.####.....##..#####.##..##.###.######..##..#.##.#.#......##....#..######.##.###.######..##.#.##.##..###
#.....#.####.#.##.####.#.##.#..##...####.##..#####..#..##.#....##....#.##.###.#.#..#.#..##.####..##..#..##..##.#.#.###.###.##.########........#.#######..#.#..##.####.##.##.##.#.#####.#.##....#.#.#.########....##.##..###..###.#############.#.#.####...#....#.####.##.#...##.......#.##.##....#.####..#.#.#.#####..........#..##......##.##.##.##......###.##..#.##.####........####.###.##.....#........#.#.#.#.........##.#####.#.##......#.##....##.##.##.##########.##...#.#...##...##.#.#.#.##.#####....##.##.##.#.###.#.#..#.#.#.###.####...##.#.#.###..##..##..#####..####.#..##.#..##..#######.###.#.####.#.######..####.##.##.#......#..###.#.##........##...#
#####.#...##.#.##........##.#.###.###.##.###.#...##...##..##.######.##.##.##....##...##.####.###.###.##..##.#....#..##......#.#.#.###..##.#.###.#.#.....##.##..#..#.####..#.#..#..##......##.###.#.#.#.#.###..####...##...##.#.#.###..##...##........####.#.####...##..#.#.#########.##..#.####.##.##.##...#.#...##..##########.##..######..##.##.###.#####...##.##.......######.###.#.......####.#######.#####.....############.#.#.#..#.#.#.##.#..#.###............#......#.######.##..####..............####.#......#.#.....#.#.##.#.....#.#..###.##.#.....##.##.###.##..##.###...#.##....####....#.#..#......##..#..###...##.##.....#.#.#########.#....#.####.#.##.###
#.......###.....#.#########.#.#.#.#.#..#.#.#...###..#....##.....##..##..#.####.##..###...###..##...#..##.#..##.###.#######.##.....#.##..######....#####.##....##.##..#...##...##.###.#######..##...........##...###.##..####.#.......##..#####.###.###....#....#.###..##.#...#.##.##..##...#.##.....#.#..###.#.#.###........#....##..###.#.##..##..##.....##.###.##.####.##.########...##.##..##......#######...###......#.....#.#.....##.######...####.#.############.######.##.##...##..#...###.#.###.#.###...#.####.####.####.#.##.#.#####.#.###..##.#.##.###.##.#.#..##.##.....###.##.##.##.#.##...##.###.####..##.##.#.###..#..#####.#......##.#...##......#.#.##...#
######.##.##.##...##....##....#.....#.##...#.#####.#####....#######.###...#.##..##.##..###...###.###.##..##.##.......##.#..##.#####.##.###.#.####..##.#..##.#.##..##.###....#.#...#...#.##...####.##########..#..##..##..#.#.##.########.##.#..#####.####.#.####.....###...###.#...#.##..###.#..#####.#.##.#.#.###.#.########.#####.##.#....##..##..#.######.#.#.....#####..#........######..###.######...#.###...#.#.####.#####.#.#####...#.#.#.###.#.....##.#.##.#.......##..#.#..####.##.#######.#######.###.....##########.#.#.#........#.....##.##.#..####..##.#...##..#..#####.#.##..###.....#####..#.#......##...#.....##.#.##..##...##.###....#.#####.#####....###
#.##...##..#.####....#####.####.#####.####.....#.###.####.#..#.##.#.#.###......##...##..####..#..#.#.#..##..##.########.##.#...##.#.#....#...#.#..###.##..###.#..##...##.########.#.###..#.#..##....##...#.#.#######..#.##.#.##.......##.#..##.#..##.#.#..#......#.####..####..###.#.##.###..##...##.....#......##....#.###.#.#.##..##.##.#.#..####....##..#.#.#.#####..#..##.########....##.#..........#.#.#.#.##########...#.#.#...####.##.#.#.###...###.#.........########.##.##......##.......###..#.##.###.#####.#..#.##..#.#...#########.####...#.##..#.##....#.###..##.##.#.....###..#####.####.##.#...########.##.######.#....##..#.#####..#.##.....####.#####...#
#.####..##.###.#..##..#.#..##.#.##..#...##.#####..#....#####.#..#.#.#.########.##.#####..##..##.##.#.##....##..#..#.##...#.#.###....#.##...###.##.#.#..##.##..##.#..####..#.##..#....##.#####..##.#####.##.#....#.##.##..#.#.##.#######..#.##..#.###.#.##.#.###.####..##.##.##..##....#...##.#..#.#..#####.##.#.##.####...#.#....#.##..##.####.#..#.##..##.#........##.##.##....####.#.#####.##.###########.#......#.#...##.##.#.#.###.#...#.#.......#...####.####.#..........##.##.####.##.###.#..##.##.##.#....#.##.#.##....##...###.#####.####.###...##.##..##.###...#.###......#####...##.##...#.#.##.###......#......####...#.####..####.##..#######.####.#...###.#.#
#.#.#..###..#..##.#####.##.........##.###......##.#.####.......##.#.....##......#..#.#..##..##...#....#.#.####.#.##..##.##.#.#.####...#######...#.#.##.#.....##....###.##....##.####.##.#.#.##.##.#.#.#....#.####.#...##......#.......##.#.###.#...#.#......#.###..##.#...#.##.###.####.###....##.##.###...#######......#...##.###..##.##..#.#.##....#.##..#.######........##.###..#.#.....###........##.##.#.######.#.####....#.....#...#.....##.#.####.##.#.#.###########.#..#.#.....###....#.#####..#.##.###.##.#.....#.######.##.#.#......#.#.##..###..#..###.#.##.##.#.##.######..##.###.####.#...##.##..######.######..###....#.#.##.#...##....#.#####.....#...#.###
#.#.##.#.##.##.......##....##########..#..#.#.##.....##..#####......#######.#.#...##.##.#..###.###.######..##....##.##..##.......##.###.##..#.###...##.#####..###.##.#..#.####..#.#.......#.#...#.......##....#.#.###.#..######.#######..#..##...###...######.....##..###.#....##...###...###.#####......###.#.##..###.##.###....##.#..#..##....#.########.......##.#.#.##.....##.##...######..#####.##..#......#.##......###.##.###...#.##.#########.####......#.#.##.##.####...#.###.##..########...##.##.##..##.#.###.#.#..##...#.....##.#......##.#.#.##.##.#.#.##..............##.#....#.#.#....####.###..##.##.#.#.##.###..##..........####.####..##.#.######.##...#
#.#.#....##.#####.########.#.#.#..#.#.##.########.####..##..##.####.#...#.#####.#..#.##.#.##.#..##..####..##..#####..##....#######...##.##.##.#.##.##...#....##......##....#.##.#.##.#.##.....#...#.#.#########.#..##.##.##.##...###.#..##.#####.#.###....#...#####..##.....#####.###.#.###.#...##..######...#.##.#######..##.#.##..#.##.######.#.#.##..#..##########.#.#..###..#....#..###...##...#####.###.##...##.#.#.####....#############..##.#...####.#####.#.........###.##.#####..###..#..###.#...#..##.##.....###...###.#...###############.................#.#######.###.##....####.#.##.####.#..##.##..........#.....##..##.##.#.###......##.........#.########
#.#.####.##..##...#.#.#..........##......#..####....#######.##...####.#.#....#####.#.##.#.##.##..#.##.#..####..##.##.###.###..#.####..#.##.##.#..#..###.####.####.#####.####.#..#....###..###.##.##.###.#.##.##.#.##..##.....###...#.#.##....##......#.####.###.#.##..###.#...##....#...##....###..##...##.###.##.......#.#####....##.....##.........##.#.##...###########...##...#.##.##...#....#####....#..##.#....######.#.####...##.##.#...###...###.##..###....#########.###....##..##.##...##...###.#.##.....#.####..#.#...#.#..#.#..#.#.###.##.#####.#.##.#.#.........###########..#.#.#......#..#.##.....#.##.###...#.#..#.###..#.###.#.#.#####.#########..#.###.#
#.....##..##..###.#...####.#.#####..######.##.#..####.##.#.....###.#..####.#..##...#.##.#....###....#.##.#.#..###.##.#.....##.#..####...#.......##.##.#.##.#..#....#.#..#.##.##.#.##############..#####.#..#.#....##.##..#.#.##..###.#..##.#####.#.###.............##.##..##.####.###.####.#.##.#.####.##...##....#########.##..####..#.#..##.#.##.#..#.#....###.##.##.#.##.##########....####.###.#.#.##...######.#..#.##..#..###.###...#...#.....###....#.##.#.##...##.##.#..###.#####..#.##.######.##.....##.######..##.#####.######...##.#.#.#.##.###.#.######.######.######.##.##...##...####.###.##.#..########...##.#########.####.......######.......#....##.#...#
#####.#..##..##.#...####.###..#..##.##.#......##....#.#....###.....##..#.####.####........####.#.####.##.....###..#..#.##.##....##.####...####.###.##.#.##.##...####.#.##.##...........#.#..##.##..##.....##...#.##.....######..##...#.###.#.#.#.###...#.###.###.####.###.#####.#.....##...#.##.#..##.....###..##.##.....##..##......##########..######.#.#####......#...##.....##.#.##.#..#.#####...#.####.#.##.#.##......##.##.#.....#...#####.#.#.#.####.......#.#.......##..#....##..##..#....##...##.####.....###.###..##....#.#.#.####.....#..#.#.#.#..#.###......#....#.#....####..#.#####..#.#.#..#.#####...##.###...##...#.....##.#.#.###...##.##.###.#.##....###
#..#..#.###.##..#.####...###.##.##...#.#.########.###...####.##.######...##.....####.########.....#.#.#..##.##.##.#.####..##.#####......#...#####...#.#.##.####.##...#.##..##.##########.#.###.#######.##.#..#######.##.#.#.#..#####...#.#...#.#...##.######.#####.....#....##....#######.##.##.##.##.###.#.##..#####.######.###.#####.#.#..##..###.##....#.#.#.######.###..#.###.....######..#..#.#####.#....#..#####.#.#.........#.#.#.#.....#.#.....##.##.#############.###.##.#####.##..##.####..###.......#.###.#.##..##..##..........##.####.##.#.#.##.....#.#.##.###.##.#.##.#..##.#.##..##.....##....#....#..###.########...##.#####.#.#...####.#####..#..#.#.####
##.##....#...##......##.##.#.....###.......#..#.#.#.#######......#.#.#.#######.##.#..##.#.#.##.####.#.##.##.#..##.#..##..###...#.###.#.###.##.#.###...#.##..#....#.#....#.##........##.#...#.#..##..####..#.###.#.#..####.#.##...##..#...##.##.#.###....##.###.#####.#...#.######.##...##.####..##.##.#####.##.###.....#.##.........##.#.#.####.#....##.###......#.##....##.#####.######.####.#.##..#.##.##.###.###.##.#.#.#.##.#.######.#.#.#####.#####.........#.#.###.###.#..#..##.#..##....#..##.#.##.########...#..##.##.####.##.#.#####....#..#......#.##.##############....####.#.....##.##.###....##...#####..##....#.#.#.####.#..####...####.....#.#.###...#..#.#
#...##.#...#####.##.###.##.##.####...##.####.##.#.#...##..#####.##......#.#.........###.....##.##.#.#.#...###.###.#.####.....#...#####.#.###....##..#....##.###.#######...###.########...###...##..##..##.#..#..#.#.##.#....##.####.#######.##...#.#.####..........####.####.#..#....###...##..##..#.....##.##.#.#.#####..##.####.###..#.#..#.#...####...##.######....########.....#...#.#.##......##.##.##.........##.#.#.#..#.#......#.#.#...##......#.###.#.#..........##.#.##.###.#.##..##...##..#.#........####.#.##.......#########.#.#.####.##.########...##.#.##...#.#.##..#.#.#.#####..##...####..##.####.####..####.#....#.###.##.##.####.#.#####.#...########.#
###.######.##.##..###......#.....###..#....#.##.#.#.#####....#.....######.####.###.##.#.######.##.#.#.###..#..#.#....#.##.########.##....####.#..#####.###..##...##..####..##...#.##...#.###.###..###.##..#.##.##....#.###.##..##.#.....##..#..#.....###..#.#.####.#.....##..##...##..##.###..####.###.####...........##.##...#.#...##.#.#.##.#.#....##.##.....#.#.##....#.#.####.##.###.#..#.#######.##.##.################.######.#.##.####.##..#.####.#.######.##.#.####.......#.#.#.###..######.##.##.#######.##....##.######.##..###.#.#.##.#.##......#######....###.##....####.#.#..#..##..#.#########..........##.#.##...####.##......#...........##...#...#####..#
#.#.#.#....#...##..#######...######..#######.#..#....#..####...#####..#.#.#.#####..##......##.........####...##...##.#.##.#..##..#.#..####.##.####.##..####..###.#..##..#.###.###....#.###.#.#.##.##..###.#..#..#.####..##..##......###..##.#.########.#.######..#######..##..#.#.######.....####.......##..##.#.#######..###.#.#####....#......####.......#.#......######....#.#..........##.#.#.##..#.................##...#.#.##########.#####.#..#......#.#.######....#######.#.#.....##..##.#...#.............##.###..........#.##.#.............######.#.#.#.####......####..#.#.##...##..##..##...#####.#.##.###.......#....#.##.#######.#.##.##.####.######.#.#.##
#.#...####...###..##.###...#####..##...###.#.##.#.####.#######.##.#..##.#.#..##.##.##.#.####..#########....#.##.#.####.#..#.##..##...####......##...##.#.###.....#.##..##.#.#.#.###.####.......##..##.......##.##....##.##.#####.##.###.##..#...#......#..##.###..#.##.##..##...###.##.##.####.#..#.#.#..#.#######...#.##.#.....##..####.#.#########.###.###.####.#..#.#.#.####...##.#.#.####......##...####.#.########..##.##.#.#....#.#.......#.####.######....##.#######...........##.##..##....#.#.####.#########.#.##.####.####.#....#.##.##.#####.#....#..........#.#.######.#.#.#..####.###.##..#...###.#######..#.#.###.##.......#....#.#.##..#..#....###.#......#
#.##.##.###.##.#.##..#.###..##.#.##..###.#.#.##...#..#.##...##.##.#.###.#...##........#####..##..#.#..###.#######.#.##.##.#..##..###.##.#.########.##......#####.#.#..###.#...#.......####.#######..#####.###...#.#####.##..##...####.#####...###.######.###..#..##....###..#.####..#..#....##.####.####......#.##.###......###.##.##.#.....####...###....##..#####.##......##..####.#######..######..###..#####.....########......####.##.########..#.####...#####.......######.####..#.###..#.######....#######..#........#.#.##.....##.###..##.........####.####.#.#.#.#.....##.......####..##.....##.###.#####..#..####..###########...##.#.#..##.##...####.#.#.######
#.##.##.#.#.......#.##..##.##..#.##.##........###.#.##.####....#.....#..###.#########..#..##.#..##.##..#....#.##..#.##.##.##..#.##...##...####.#.#.###.#########.#.##.##....###.##.####..#....#.#..##...#..##.###..##....##.####...##.##.#..#.#....#.#.#.#.##.#.#####.##.#.##..#.##.##...#.###...######..####.#.##..###.#####.###...#.##.####....#######.####.....#....#######.###.#######.##....#.##.###.###.##.#####..##.##.####..##..##.#.#.#..##........#.....#.#######..#.#.#..######.##.#...#.#..#####....##.##.#######.####.#####....##.####.#.#.#..###....#.###.#.#.#.#..#######.##.##..##.########...#..#.##.##.###..###....###.#..###.#.###..###........#......#
#....##.#...#######.##.##..#..##.##.#..#####.###........#.#.##...#####.##.....##.##.#.##.##..#.##...##.#.####..##.#.##.##..##.#.####.##.###..#.#.#......#.##.....#.#...##.###.#.##....##.#.####.##..###...##...##.#####.##..#.##.####..#.##.###.####.#.....##...#.#...##.#.##.##..#.##.#####.##.##.##.##...####.##.##.#...#.#..###.##.#.......#####..##...##..######.#..##.#.#......##.#.#.##.####..#...#..........#...##..##....##....##........####.#######.#.#.....##..##.......###..##.#....###...####...#####..#.....###..##..#.#.#######..#####.#.##.....##.#...#.###.#.####.##....##.#..###...##.#.#.###.##.........##.....##...########.#...##...##.#####...###.##
###.###...###..####.##....##.##.......########.#.########.######.##..#..###.#.#.......#...##.#..##.##......##.##.....#.#..##.....#...##..##.##...##.#.#.#..#####...###....###.#..##.###.....###.##.##.###....####.##.##..##....#..##..##.....##.###....##.###.###.#.#..#.......##.........##.#.....##.#..###.#...#..#.#.###.##.#.#.##...#########.#.###.#.###.....#####..#.#.#.#######...#.##...##.##.###.#####.####.#####....#######.###.###.##..##........######.##.#..########.##.##.##...####...#......#...#.##.##.####.#.###.##....##.#.##.....#.#..###.###################.#.#####....#.###..#..#.#..........####.#.##..##.###.#........###.####.###......###.######
#.....###.###.##..#.#####.##..##.#.##..#...###....##.#.##.##.##...##.#.##.#.#########.#.####...##...##.######..##.#.##.#.####.#.##.#####.#...###.######...##.#.###.#.#.#.##.#.#.###.#.##.##.....##.#...##.##...#...#..##.##.##.#.####.##.######.#.#.#####.##..#.#.####...##.####..#######..#.#####.##.#.###....#...##.#.###.##.#...###.##.#.#.......#.#####.##.####...##.#.#......##.##.##....####............#.#.#.....##.####.##.####.....#..##.#..#########.#.#######..##.#.......##..###.##.#.#####.#.###.##.........##.#..#.....####....###########.###.....#.###......##.#....######.##.....###.....#.####.#....#.#.########.####.#.##########.#######.##...#....#.#
###.#.#........##.....##..##.###.#######.###.##.####.#..#.#..###.##....##.#..#.#.###.......##.####.###.#.#..##.####.#..#..##..###.....##.#.###....##.#..###..#.#.#.#...####.....#.###.#...#.#####....#.#..######.###.##...###..#..#.#..#..#.#...........###..##.#..#.##.#####..#.#####.#####.##.##..#.#.#.##.####.###...#.#.#....###..........#.###...#####.##......#.##.....##.####..#.####.###.#.#.#.##.##.##.....##.##..#.....#..####.###########....#####........##..##..####.#####.##.#......##.######.######.#######....##.##.###.#.####.#......##...##.##.......######..###.##..###....#####.#####.#...##.##########...#.##...##########.##.....#.#....#.####.#...#
#...#####.######..#######.##..#...##.###.#.#.##..#.#.##.#.#.##....#.#.###.#.##...#.###.######.##...#.#.#.#.##...###.#.##.####..#..#####..#..###.#..#.##...##.........#.###..#.#....#....###.#.#.##.######...##...##...#.####..##.##.##.#.##...########.#####..#.#.##.#.....###...........##...#.##.##.#.#.#.....###.##.##.#.##.###.#.##.#.#.#.#..######.#....##.#.#.#.##.#.#..####.##.....##.#.#...#####...####.##.#######...#.###.##....#.#.#.####..####...###.######..###.##.....#.#...#.#.####.......##....#.##..####.#.##....##.#......#.#...#.#.##..###...##.#.##.#...###.##...##.#...#####........#.#.####.......#.#..###....#....###........#.#...#.#.#####.###.###
###..#.#....#.###.....##..##.##.###....#.#...##.##.#.##.#....###.##.###.#.#.####.#.##....##....###..........##.##.#........###...###..##.##...#.##...###.#########.#####.####.#.####.########.#......##.#.###..######......##.##..#.##.#....####.########.###...#..#.##.##...##.#############.#.##..#.#.....#.#####.....#.#.#...##.#.######.#.##.#.####...#.#########..#.#######.#.#####.###.#...#...##..#..#.######.#####.#####....##.#.#......#.##..###.###.#......##.##...####.##.##.##.#....##.######..####.#..##.......#.##..###.###.##.#.#########...##.##########.###....##.##..###.#.#.##.#############..#.#.#...##..###.######...#.#####.##.#########.#.#..##...#
#...##...####.#.#.#######.##.#...##.####.#.####.##.#.#....##.#...##..##.#....##.....##.######.##...######.####.#....#.###.##.#.###.##.##..#.#######.##.#.#.#.##.#....##..#.#..#.##....#...##..##.#.####.#.....##..###.#.#.##...#.##......##..........###...##.###.##..#..#####......##..#.#.#.#..##.#.#.#####.....####.##.#.#.####........#.#..#......#.########..############.#.#.#.##........#.#.#..##.##.......##...##....###.####..####.#####.##.##....##.#.######..####..#.#..#.#..##.#.#######.#..##...#..##..#.####.##########...###......##.##...#######.#.####...####.##...##.###..........###..#.##.######.#######.........###.##.....####.#....#........#######
###.####.#.#..#.#.#.#.##..##...###.....#.#.##.#.#..#.#.##..#####.#..###...#.######.##...#.##..##.###.#.#####.#.###.#########.#......#.##.##....#.##......#.#.##.##.#####.#.#.######.###.#####.####.##.#.#.#.#.##.##...########...##.####..##.#########.#.####..##.###...###.#..#######.##.#...#.##..........#.#.#...##..#...#.##...##############.#.#......#.##..##..##..#.#.#.#.#.#.#..#.#.#.#######..######.#######.##..####.#.#.#..###.#...###.#...#.####...........##..##.#.#.##.##.##.#.####......##..###.##..##....#..##..###.#.####..##.#.....#.#####........##..###.#.....####...#.####.#.###.##...##....##..##.##.#.#########.###..##.###.#####.##.####.#.......#
#...#.##.#...##.....#.##.###.####..###.#...##.#.##.#.#####..##...##.#...#.####.#...###.##.#..###..#.....##.#.#.#.#.#.##..##....###.##.##....####.#######.#.#.#...#.#..##...#...#.#......#.#.#..##...#.#...#.####..###..#.#.#####.##....#.###.##......#.#..##..###.#.#.#...#.#.####.##..##.###....#.####.###########.###.##.##.##.#######...#.#.#############.#..###.##..##.#.#.#.#.....##.#####.###.####...#######.#...##.##.#.#.#.#.##.#.#.###.#.#.#.....##.##.######..##.#..#.#.##..............####....##....##.##.#######..##.#.#.#.#..###.####.#####..####.###..##..##.####.##..###.#.##.######...#.###..######.................#..##.###......##.#.#....####.#######
###........#..#.#.###..#.#.#.##.##.#######....#.#.....#.###..###......###.###..###..##.##.#.###..##.###.##.#...#.#....##..####.#.###..##.##.#..#..##.#.#.#...###.#.#.#####...###...######...#.####.##.#.#####..#.##.#.##.#.#.##..##.####.##.....######.#.####.##..#.###.###.#.......##..#.######.....#####..##.######.#.##.##............#.........#.##.##.#.#.##.#....##..#.#.#...#########.##..#...#####...##..#.#.####.#..#.#.............##...#.##.##....####.#.#####....##....###.#####.####....#.####..####..#......#.##............##.#..#######...##.##...######..#...##.#..##.#....#........###.#.##.#..#.#.#.###############.##....#.######......##.#..#...#...#
#...##.#.########..##.##...#.....#.#.##..##.###...#####.#.##..#####.#######.##..##.##..#....#.#.###...###..###.#.#.####..##.#......##....#####...##....#...####....#..##...###.###.#.#.##.###.##.#....#..#..##...##.#.##.#.#.###.##..#######.#.#######.#...##..##.#..##.#.#.#.#########.#.#.##...#.#...#.##.....#.##....##.#..#.##.#.#.###.#.#######................####..##.#...#......##...##.##.###.##..#..##.#.#..##..#.##...##############.###.##..##.#...##....##.##.#######...#.....#..#####.#####.##.#..##.#.####.#..#.######.######.##....#.#..###.....####.#.#.##.###..##..#.##.###.######............##.#####.......#..##......####.....####.#######.##.###.###
#.#.####....##.#..##...##.##.#####.#..##..#..#..####.##.#.##.##.##...#..##..##.##...##.##.###.#.#.#.#..###.#...#.#....##.##.#.##########.#.###.#######.###..#.####.#.##..#......##.#.#.##.#.#.#..####.#.##.##..###....##...#.#.#.##.##.##.######.....#.#.#.#..##..##.#............#.#.......###.####.###.#..##.##.#####.##...##..#########.#....##.#.#######.#.####..####.##...#####.##....####.....##.#..######.....###.##.#..#....##.....##.......###.#####.##..#####..#.###..####...#.####.....###.#.#.##.#.##.......#.##...###.########..#######.#.########.#.#..#.#.#....##..##.#.##.#.......########.#######.##.##.#######.###.#######.###.###....#.#..##..#.#....##
#####.##.####..##..#.###......##...#.####...##.##..#.##......##.#..###.####.....###.##.#..#.....#...##.#.#.###.#...####..#....###.#####..#..#...##.#...##..##.#.......####.######....#.##.......##.##.#.....##...####.#..###.#.#.#..##......#.##.###.#.#.####.###.##...#.#.########.##.######....#####.#...######.#.##.....########.#.##.#########.........#.#....#.##.....###....##.##.##......#.#....#.##.#..##.####.#....#.###.#....#.######.###...###.#######.....##.#...##..###.######.#####..##.....##.#..##.########..#............##.#.#####....#..##.#...##...#...######.##.#.##...#.###.......##...###.#...............#.#....##....####.####.#...###.#######..#
##.#...#..###.####.#.#.###.##..#.#....#.##.###..##....##.#.#..#.##..##..#.##.####.#..#.##.###.###.######.#.#.#.###.##.#.##.####....##.##.#.##.####.###.#..##..######.##.##....####.#....#.#####.##......#.#####.##.##.#.##.#.#.#...###.######..#.#.###....##..#.#.##.###.#.#.....##.#.......###.##.##..#.###..#.#....###.#####.##.........#.##.#...#.#.#########.#######.####..#####..#.##.#.#.##.##.#......##.##...##...####...#.#.##.####..##...###..##..#.#.##.######.#.####.##.#.##.##..###.####..######.#.##.......##..#########.#.###..#.....##.###.##..##.##..###.#..###.#.##.#.#..#.######.###########.#...##.#.##.#.#.###.#.##....##...#..#.#....###.#.#.####..##
#....###.##.#.#........##..##########.#.#......##..##########...#..###.##.#....##.##.#.##.##...##..#..##.#.#.#.##..##.......#.#.####...........##..##....####.#.##.#.##.#..####.#..##.###..##########.#####.#.#..#.##.#....#.#.#.###.#.....###.#....####.####.#...##...#######.####.##.####.#....#..##.....#.##.####.#.#........#.####.##........#.#.#...##.#..###.#.##.....##.....#.##.##.###.##..#.##.######.#..###..###....#####..#.#..##.##.######..##.#.#.#....###..#..##..##.........##....#.#.##.##...#..##.########...##....###..##.##.######...#.###.##.###.#.#.####......#.#...#####...###..###.#.#....###..#.######.....#..#.##..#####.##...####.#.#....#.#.###
####.#...#..#.####.#.####.##.#.##.##..#.#.####.###..#####.#.###...##......#.####.......##.#..###..##.##..#.#.#..##.##.###.#......#########.#######.#####..##....##.#......###.#.#.#####...##..##.##......##.#.##.#.#..#.####...........##.##.#...####....#.#..#.###..####.#....##.#.......#####.##.##..#.#.#.#..##.......####.#.....##.###################....##...#.###.####..#.######.#########.########.#.#.#.##.#.##...##.#..##.#####.#...#.#.#.######.....####.#.##.#.####..###.###.####.####.#.#...##.##.##..##...#.#.####.#######.#..##......##.##..##.##.#........#.######.#...###.#.#.#####.##.#.#.#.##...######.#.####.#.#.######..####..###.#.##.....####.....#
#....#.###.##.####.####...#.....#..##........###.#.##.##..#.##..#..##.#.#...##.#####.####.##.#...##..###...#.#.##......#####.#.#.#.##..#.#...###....##...####.###..####.###.#.#...##.#..###..##..####.#####.#.##.#.##.#....###.######.######.#.#.#.#####.#.#.##.#...####..####..#.#.##.#####........##.#####...#######.########.########...#.#...##......#.#######....##..##..####.##.###.##..#.###.####.#.#.............#.##...##....##..#.###.......#.#..######.#.#.#..#.##.#.##.#...#####..#.##...#.###..##..##..#.###.#........#..#####..#.######..##.##...#.####.###.#.##.#...#.#.......#........#.#...#.######...##.....######...##.##....##.##..#.###.######..###.#
####.#..##.##.#....##.###.#.#####.##..########........###....#####..#######.#..#..##.#.#...#...#....##.###........##.###.#########..##.#.#.###.###.#####.#......##.##...........###..#.##...####..##..##.#..#.##.#.#..##.###.#.....#####.#.#...###..##........#...#.##...##.##.##.#..#...#.####.##.##.....##.###.#............####.#..#..###.#.####.######.##.##.##.####.####.#.##.#...#...##.#..#...##..#.#.#######.#.#.###..###########.#.##..#######.##....##..#.#.#.##..#.#.##...#####.##.#..#.###...##..#.##..##.......########.##.##..##...#.###..#..##.##..###.#.###.##.###...##.#.#.##.####.#.....#.....#..#.###..#.###.#.#..#.#...#.####...##.#..##.#.#..##.#####
#....#.##...#.####..#.#.#.#.#.##..###.##.##.######.####...#####..##..#.##...#.##.##....###.#.########..##########..#..##..#.#..##..###.#.#..#..##..##..#.##.#.####.#..#.#.##########...##.####.##.##.###...##..#...##.#..#.#.#.#####.#.#.#.#.####..#######.####.######.#.#..##.##.#.####....##...#.##.######..##.#####.###.#.###.....##.####....#.#....##...#..#..#.###...#......#.#.###.###....##.#####.#.#.....################.###.#.#.#.##.####.....##.######.#.#.#..##.#......###.#.#......##.###.####.##..##....#.#.#..##...##.....#.##..###...##...##...#.##......#..##.##..#..###.#....##.######.###.#.##.##..#..####.......####.###..#.###......##..#...##......#
####.#..##.##..####.#.#.#......#.##..........#.###..#.#.#.#.#.##.#..##..###.#.##.##.####......#.##....##..####.#..##.##..##...##..##.#.#.##.#.####..##.#.##.####.#.##.#######..#...###....##.#..#.#....##.####.#.###..##.#.#.#..................##...##....###....###..###.##..#.......##.#####.#####....#.#.##..##....########..#####.....#.##...#.#####.###.##.##.#...###.######.#..#....###.###.#.##..#...###......#.#...###.#.#.#.............#.#####....#.##.......##..#.####.#.....####.###....#..##...##.#..###########..#....#####.#..##.#.###..###..###.##.######.##.....######..#.##.....#.#####.#####..##.##.###...##.#.##.#....####.##..#.#.##..##.###..######
##.#.#.###.##.##.#........##.#....###.####.###.#.#.##.###.#...##.##..#.##.#......##....#.##.###....#.####......#.###....###.#####.##...#.#.....##..##....##.##.#...#...#.#..##.#.###.#.#####.##.....####...##....#.##..#.......########.#.#.#.###..#####.#.#.##.###.##..##..##...#.##########...#.#.#.####....##..####.....##.#.##.#.##.####.######..#.#..##...#.##.#.###.#.#...##.#.##.####...#.#....##.##.##.#####.##.#.###.#...#.#.###.#.##.#.##..#..###.##..#.##.#.####.#.##.#.#.#####.#......####.###.####.#.####.#.##..#.#########.....##....#.#.##.##...#.##..##.##.##.###.####.##.#..##.####.........###.##...#.#.##.########.#.######..##.########..#.#.##.#..#.#
#....#.#.#..#.##.####.#.#..###.#.###....######.#.#.##.##..###..#.#..##.#..###.##..##.######.....######..######.....#.##.##...##.#.#..###...#####..######.#...#.###.##.##.#.###....##.#.#.#.#.######..#.##.##..####..##...###########..#.###.#..###.....###.#.#......##.##..####.#####.##.#..##.##.......#..######..#...##.##..#...............##.###...#.###.###..#.#..##.#...###........####.##...#.###.##..#..#.####..#.#.....#......#########.##.##.##....##.#..#####....#....###.#.#.#.#.######.........#.#...........##.......##..##.#.##..#.##.#.##.####......##..##.#....#..#....####.#.......#.#.##.##......#......#.##.#.#.#......#.##.#...##.#..##.....#..#.##.#
####.#.#...##.##.#.####.##########.##.###.##.....#.##.##.##...##.##.#....##.#.#####....##.##.####...###.#.#.####.#########.####.#.#.##.###.#.#.##..##..#.#.###.#.#.##.......#..#.##........#.#.##...##.##..##.##.##..#.#.##..##......####...####.#.######..#.#.######...##.#.##.##..#.#..#.##.....##.##...#####.##.#.########...#.#.##.####.#.....##.#.........##.#...##..#.####..########.#.....###.#....##...##...###...#.############.#.#.######.....#.##..#...#########.#.#####....#.#........###.#######.#.####.#.#####.#####....###.####.#####.#.#..#.#..####..##..#...#######.###########.#.#####..#..##.######.##.##..#.#.#...####.#.##.#.#..#.#.##..#####.##.##.#
###....#.###..##...#.##....#.##.##.........###.###.##.##.###.##..##.####.##.#.#.#.##.###...#......###.....#.#..#....##.#.#.#.#....#.#...#..#.#.###..##.#...#.#.#.#..#.#######.######.#######.#..###.......##...#.##.####....##..#.############.#.#..#.##..##.......####.#........##.....##..###.####.#######..#.#..#.....#.##.#######.....#########..######.####....#.##.##..#.##....#.##....#########.####..#....###.##.##.....##.##....#.#.#.##.#.#.#######.#.###..#.##.....#...##.###.##.#######.#....#.........###.........#.######.#......#.##..#...##...##.#######.#.#####.###....#.#.#.#######.#####.##.......########.#.#.#.###.####.##.####.#.#.##.###.##.#...#.#
#.###.##...##.####.#.##.####..#.####.#######.#.##..##.##..#..##.##...###.##.#...#.#....###...####..######.#.##...####..#.....###.##.##.##.##...#.#.##..#.###.....##...##.#......#.#..###..##.#.##...##########.#.#..#.#..#.###.####...#.#.###..#...##.###....#######..#.#.######.##.#######.#.#....#...####..##.##...#####..........#.#.#....##..###..##.######..#######..#.##.#..####..#.##.##.#..##...#.#.###.#...........#.###...#.####.#....#.#.###..#....#.####...###.####.###..#.#.#.......##.#.####.#.###.######.#.##.#....###.#.#.######..##...###..###.....##.............##.###.#....####...#.#######.#######.##.#..#.#.#.....#.##..#.##.#.#...............###.#
#..##.#..####..##..#.##...##.##.#.#...#.#.##.#..##.#..###.##..#..###.#.#.##.#.###.##.######.##.#####.##......###....##...######..##.##....###.##....##.#.##..##.#####......#.#.##.#.##.#.##..#..###.#.##.#####.#...##...##.......##.###.#.#.##.###..#..##.##.#.....##.#.#.#.#.#####.###.##..#...#.######..##....#..#.......############.######..##.##....#.#..##.##.##.#.##......###.##....#.##.#.#####...#..################.#.#.###.##.#.##.###....###.####.#...##.#.#.#...##.#.##.....##.#######........#...#####..###.##.##.#.#.#..........#.#####.##..##.##.#####.##.##########........####.#..###...##.##.#.###.#..#.#.##.....#####..#.##.#..#.#.#######.##.#.##...#
##.##.#.##..##..#.##.#..###...#.#...#.#.#.##.#.##..#.##...###...##...#.#.##....##.##..##.........#.#.#######.##..#####.###..#.#.###.##.####....####..#.#..##.#########.#######.##.........##.#.##...#.....##.#...###..#####.##.#.....#..#.#.##.##..##.##..####.######.#.......#.##..#....##...#####....#.###.##.#.##.#.#####.#.......##..##.#..##..##.####.#.##.....##.#....######......#.####......#####.#.##.#............#......##.##.#.##..##.##..##.##...#.####.###.##.###...##.#####...#.##.#.########.#####.#.#######.######...#.##.#.###.##.#...##........##.####.##.####.#..#.#######.#.#.####.####.##.........##.#.##.#####.#.##....#.##......###.#####.######.#
#...#....##.##.##..#.##..#..#.#...#####.#.#.....##.#.#..#..###.#####...#..###.##...##.####.#######...#.###....##.#.##..#.##...#.#.#......##.#####.##...#.###...#.##.....###.######.#########.#.####...##.##..#.#####.####.##########.#.##.#.#.....##...##.#.#....##.#...##.#.##.###.#.####..#...######.....###.....######.##...#####..##......####..#.#.##.#..#.######...####.#.##.########..##.#####.##.....#.#.##.##.######.#.##..#.##......##..##.###.####.#.##.#..##.#....##.###...##..#..........##.#.####..#.#.#.....###.#.##.###..#.#..##..#.###....###.#####..##............####.####......##....##.....#.##.####...........#......####.#..#.##...#...#.####..#..#
###.#.#####.##.###...##.##.######.#.##..#.#.######.#.#.#####.#.##.####...####.#..###...##....#.#.##.##.#.####.##......##.####.#.#.##.#.####...##..####.....#.###.####.###.#...#.##....#.##......##..########.#.###.#....#.###.#....###.##...##.#######........#.###...#.#######.#.......##.######.##.#.######..#.#...##.#....#.###.######.###...##.##.#..#.#.##.#.##.###...##.......##.#.#..##.....#...##.####...##..#..#########..##....##.#..##..###.#..##..#..#.#.##..##.###..#.###....###########.......#.##.#.....#####...#.....#######.####....##.####.####..#.##..#.#.########.#.....#.#.##..##.#####.##########...####.#.####.##.###.#..##.########.###.##.##.#.##
#.......##..##..##.###.......##......##.#.#.#.#.#........##.....#..#####..#.#.#.##.##.######......#..#.#.#.#..##.#######..##.......###.#.#..#####..#####.#.#.....#.#..#.#...###.#..##....######.#..##..###.#.#.#.....#.##.....#.#####...##.##..###.##..#.#.#.##.....###.#..##.....#.#.###.....##...#.#....##..########....#.##...#..#.#.###.######.##.#.##.#.##...##.###.####.########...#.##..#####.###.......###..###.........#######.##########..##...####...##.#..##.##.#.##....#..####.#.###...#.#######.#....#####..####...#####.##.####.#####..........#.##......#######.#.#...#.#####.#..####...#.#.......#.##..#############.####...#.##...#..##...#.#..#..#.#.##
###.#.#.##.###.##....##.#########.####..#.#.#...##.#######..##.##.##.....##.#....#.##....##..###.##.##...#.#.##...#.#..##..####.#####......##.##..##..####...#####.##.#...###.#.#.######..##.##.##..#.##.#.#.#.#.#######..#####..##.###..#.##.##.#....##.#.#..##.##...#...##..#.#######.##.#######.....####..##.#.##.#.###########.##....##..###.#.##.#.#..#..###....#.#...............###.#..####.#.#...###.####################.##.##.#####..##..####.##.#..###..#.##........#.####.###.#.......#####.##.##...####.#.##..#.#.######.......##.#.#.#.###.##.#...####.##..##.#.#.#.#.###.#.#...##..###.###.##.######.###.#.#....###.......###.#..##.##.###.###.#.##.##....#
###.#####..#.#..#.#####..#.#.##....#.##.....#.###...###..#####....######..#.#.####.##.####..##.#.#...##.##.#..#.###.#.##..##.##..#.#..#######..##..##...##.####.##.#..#.###...#......#.####...#..#.##.#..#.#.#......#.##.###.###..#.#.#.##..#.#....##..#####.##...#.####.######...##.#........##...#####..##.#.....#.#.#.#...##.#..#..####..##.#.#.#....#.##.##...####.#.#.#.###.##.##...#.##.##.#.#.#.#########.###.#.#.#.##.#.#..#.#...##.##..##..##.....##.###.##..#####.####..###...#...##.##...##...#....###.......##.#..........#######..#.#....##.#####.##.##..#####.................#..####.#........####.#.#.#.....####.#.########..#.##......#...##.......##.###
#....#####.#.#.##..#.#..##.#.#####.#.######.....##.##.##.###...##.#.#....##....#.#..#.#.#..###.####.##.....##.#.##.....#.###....##.##.#.###.##.###..###.#.......##...##.#.##.##.######..#.###.##....#.#.##.#...######.##.#.#..###.#.#.#.##.##...#########.#####.######.###..##..###....#.########.##.#.##.##...###.........####.#.##.##..##..#.#.#.#.####.#.....#..##....##########.######.#..##.............#.#................##.#...###..##.####.##.######........##..##.##.##...#.###.########.##..#...#.####.###.###..#.#############.#..##.##.####...#.###...##.##.#..##.#.#.#.##.#.#.####..#...###.##............#.#......#.###.#.#..##.##.######.####.###.####.#.#
##.#..#.#..#.#..#.##...###.#..#.##.#..###...#####..##.##...##.#####.#.##..###.##...##.#...##.#..##..######.##....####.##.#.###.###..#.......##...##..#....##########.#..#..#.#...#.#.##...##..#..##.#........#....##...#...#.##.#.#...#.##....#...##.###...##.####.#.#.##..##..###..########..##..#....##..#.###############.#..........####.#..........#.#.##.###..#.#####.......#...#.#..#.##..##.#.##.###.#...############.###..##.##.##.#...#.#.#....##.#.####.#.#..##........###......##.#.####..#########.#...####..##.......###...#.##.##.##....#.#.#.##..####..#.#.############.#.####.##.#.####...#.############.#.#.####.#.#.#.##.##.#..##.###.##.#..#####.....#
####.##.##.....##..#.####....##....#.##.###..##.##..#.##.####...##..#####.##..##.###....###....####.#.##....#.####.....#.#.##..#.#.##.###.######.###...##..###.##......##.##...###...###.####.##..####.#####.##.###..#.#.###.##.#...###.##.##.#.###....##.##...#........##..##.#.##...#.#..#.####...#.####........##....#.#..##.##.######.#....#.#.######.#.#########.#.#.#.###########.#.##..##.####..#######.####.####.#..#..###.....#....##.##.#.#.#.##......#######.##.######.....####..#....##..###....##....#..#.##....#######.#.###..#.##.##.####.###.##.###.#.##.#.........##.#######..##.#.##.#######..#.##############.........##..#.#.##.........#.##.#.###.###
#.#..##.######.##.##.#..##.#######....#.##..###..##...##..#.##.##..###.#...##..#...##.#####.#####.#....####.#....####.##.#.#..##.#.....####.##.#...##.##..##....###.#####..##.##.#.###.....##.###.##.....#########..####.#.#.##.#.###....#..########.###...##.##.##########.#....##.###.##.#.#.#..#####..##.########.####...###.#####..##.##.#####...........##.#.................##.......#.##...####.##...#..............###...#####.#.#####.#......######.#.##.#.##..##......##.##....#.##.####..##.##.###..#####.#.##.####.#.........##.#.##.##..#.#####.##.##..#......#########...#..#.##.#.......#...####...#......#.#.#.###.#########.#......#.#.##.##..#.#.##...##
#...##.....###.#.......##...##..###.#....##.#.##.##.#####.#.##..##.##..##.##..##.###............#.##.###..#.##.###.#..#....##..#.#.#####.##.##...########..#.##...#..##.#.##.........#####.##.#.#..##.####.###.##..##.##..........##..####.######.#....##.##.......###.####.##.####..#...........#######..#..###.#.#..##..####....#.#.##..#....###.#.##.###.##....#.#.###.#.#.#.######.#####.##.###.#######...####################..##.#..##.....##.#..##....###..#.###....##.#########.####...####........###.....###.##.##.....#########....##.##.##..##.#.#...##...####.....#.#.#.###.##.##...##.####.###.#..#...######...#.#.#...#..##.#.#.###############.#.#....#..#
#.#..###.###...#.#####..#.#..#.##.###.####..#.##..#...##....###..#.###.#.....###.#.##.###########......##...##..##.##.#.#####.##.#.#..##.....###.#.#.#..##....#.#.#.##.......#.#######..#...#.#.#.###...........##.##....######.####.##.##.#..#.#.#.#####..##.######.#..##...#.##.#.##.#.#.#.##.###.#..##.##.#.#.#...###.##.#..#.##....##...##...#.#..########.######...#########.#.#...##....#.#.#.#.#.#...#..###.#.#.#.##.#.#.#..##..#.##..###############..##.##.#.####.##..##.#.##########.#.#..#.#.##..#..######...#.#..###.........##.#.##..#.###..#.#.#.####.############.#..........##.######....#.#...####......###.#.#.#.###.##...........##.#..##.#.#.#.#.##.##
####..##..####......##.#####......##.....##....##...######.##.##.#..##.##.#####..#.##..###.#.#..###.#######....##...#.#...#.#.#..#...##..#####.#.#...#.##..####.###.###.########.#.#.##.##.##...#.#.#.###########..###.###..###.##.#.#...#.#.##.#.#...#.#.###.#.####.#.##..###.##.#.##.###.#.##...#...##...#.......###........##.#..####..########.#####.......#.#.#######.#.#.##...###..#.####...........#.##...........#....#.#.####....##.#.###.#.#.#..##.##...#....##...##.##......#.#.##......##########.##.#.#..#.....#####.###########....##..##.##.#..............####.#.#.##########.....###.####.#.###.######.###..#.........####.######.###...##........#######
###..####..##..######....#.##.#####..#######.####.####.##..##..#.#.##.....#.#.##.#.###...#.....##.#.#.#.#...##..###.#...###.#.##.#.#####..#.##...#.#...###.##.####...#....###.##......#.#..####.#.#...#.##.###..##..#..###.##.###..#.##.##....#.#...###.#.#.#.#.#..#.#.#..##...##.#.....##.#..#####.######.#.#####.....############...###.#.#.#.####...###.#####......##.#.#......###...##..##..#.##.#.#.##..#.#.#.###.###.####......##.####.....#.....##.#...#.#...##.#..#..####.######.#..##.#.#..##.##.###........####.###...######.#..##..#####.##..#....##.###.#.#.###.................##.####.#...##.......#.#######..##.#########.#.......#.##..#.#####.###########
#.#.##.###..##......######.#...#.#..##..##....##...##...##.##.##....#####.#...##.#.#.#.#...#.####.#.#.#.##.####.##....####..#.......#..##....#.#######..##.##..##..###.####.#.##.###.##.##..##......#..........###.##.##...##.####.#.##.#..##.....#####...#.#.#.#.##.#.##.##.####...#.#..######......###.#.#....######...#####..#.#.###.#.........####.......#...######......##########.##.##..##..###.#..#.##.###########..##..#.##.#..#.#..###.#.#####..#.#######..###.##.###.#...##.#.##.#..######.........#.##.#..#######.#####..#.#.##..##.##...##...#.##....#.#.#...#.#################.........####.#######.#..##.#.##..##.#......##.#########.##...##..#.#.#.##.##
#.#.....###.#..######.#.#..##.##.#.####..#.######.#####..#.#..###.#....##.#.####.#.....#.#.####.......#.####.##..###.##..##.##.######.##..####....##.#.##..###..##..##....#...#...####..#..###.##.####.#.#######...##.####.#..#.#..#.#....##..###.....##.##.#.#.#..#...##.#..#.#..#.####..#.#.######..#......##....##..#.......##....##.#.#########..#.#####...######...##.#....#.#.##..##....##########.####..........#.##..##.#######.....##...#..##.#.##.##.##.#.#######.#.#.#.###....##...###.####.##.#.###########..#..#.#.#.##......##..#.##.###..########.########....##.###.###.#...##.#########.#...........##.......##....#.#.##....##.###...#######.#.#...##..#
#...#####...#.#######.#.#.##...#.#.##.##......##....####.#.#.##.####.#....#..##....#.#.#######..#.#.###.#.#.....##.#..#.##..##...####....##....####.....#.##.##..##.#..####.#.#.###..##.##.#.###..##########.#.###..#..##....##.##.....######..##.#.#.#..#........##.####.#.##.#.#####.####...#.#.###...#.######.#..#.##.####.###.##..........#...##.#.....##.###.....###########....##.##.#.###.###...#....###.########.#..##...#.##.#.##########.##....#..##.##......##..........##.#######.....#.....###..#.####.####.#.##.#....####.#..##......####........#..#######.##..............#.#....##.##.#...#####.#.#.#..#.###.##.##########.###....#.#..#.#.#..#.#.####.##
###.#.#.###.#.......#.#.#..###.#.#.....###.#####.####...........##.#.#.##.#.#####.####..#.##.######.#.....####.###.#.##..##..#.###..###.#####.###.#####.#.##.#..###.#.##.#..#.#..##.##...#.#..###.#.#.#.##.......##...#####.##..#..#.#####.##.#####.####...#########.##...#.#...............###.#.#.#.#######..#.#.############.#..##.#########.####.#.########...###.....##......#####.#..#.##..#.#.####.#####........#.##....###.##......#.#.##.....##.#.##.....#########.####.#......#.##..#.#...###...####..##............#.####..###.###.###.##.##.###########.#.#.###########.#########.####.......#....######...##.##........##.#.#......######.##.#.##.#.#.#.....#
#...#...##..#.#######.#.##.#.#.#...#.###...#.#.#..#.#####.#.###.#..#####..#.#.##..#.###...##..##.#....#####.#..#.#......###.##...#.##....##....#..####....##.##.#.#.#....#.####.##..###.##.#.##.......#..#.#######..###......#.##.####......##########.###.#.######...###.....#.#.####.######...#.#....#.##...#######..##...##....##.........##.#..#.......#..##.##.#####..###.#.##.......##..##........####..#.########.#..#.##....###.####...#####.#####..##.####.#.#.#.#....#.##.#####.#..##.##.########..#.###.############.#..##.##....#.#####..##.##.#.#.##.#......##.##....####.#.#.#.......##.#########..##..###...##.##.##.##...##.###..#.##..#..#.#........#####
##.##.#####.#...##.##.#..#.#.#.#.###...#.#.#.#...##..##.#.#.#.####..#.###......#.##.#.######.##....######.#.#.##.#.#######..##.###.###.######.##.##..##.#..#.#........##....##...##..#.......##.#######.##.###.#...##.######....#.#.#..##.####.##.##..............##.##...#########..####.##..#.#...##......#.#.#.#.##.##.####.######.#.#######.#.##.#######.##...#.###.####.#.#######.#####.###.#####.###.#.#####..##.#...##.####.###...###.###.#....####.###..##..#.#...#.######..........##...#......#.##...##....##.##........##...##.###.....##.#..........#.#.#######.##.####..#.......#.##.##......###.#.####..###.##...#######.#.#...#####.#..##.##.##.#.#.#.....#
#..##..##.#.#.###...#.##.#........###.####.#.#.#####.##.###.#..##..##..######.##.......###....##.###.##...#.#..#....##...##.##..##..##.#.##.#.##.###..####...##.####.#########.#.#..##.###.####......##....#.#...#.....##....####...#.#######..##.######.##.#.#####...###......#.##.###...##.######.######.####.#.#....##..##....#.#######.###........###.##..###.#.#....##.....#.#..#.###.###.#....####......##.##.##.#.######..#...##.##.#...#.####..#.#.##..####.....#.......######.###.#####.########..##.##..####.....#.#.#.##..###..#.#.######.#.###.#.#.##.#.....#.#.##....##.#.#######..#..#.#.##........####...#####.##...#.#.#####...##..#.###..#....###########
##.#..##........##.##.##.####.###..##.#.#.......##....#.##..#.####.###..#####.#..#.##.##.###.###.##..##.#...##.#.######.##..##.##..###.#.##.#.##...##.##.##.##...#.####...##...####.##...#####..####....##...#.#.####.######.##.#.###..#.##...##...#.#.#.#######..###...#.####....#...###......##.#...######.##.#.#.######..#.##....##.#.......####.###.#.##.##.#.....######.####.#.##.......#...#.##.######.##...#.#.......####.#.###.......###......##...###.#.#..#.####.#.##..############....###....##.....##...##.#############...##.#....#.##......#.###......##.##.#.#..##...........##.##.##.#.##.###.##..##..#..#.######.##.#..##...#..##.#.#.#.##.#####.#.#...##
#....#####.##.###..#..##.#.##...#.#####.####.########.#.#..##...##.#.#.##.....#.#####.##.###.##..###.####.#.......#.##..##.##...##..#..#.##.#..###.##.#..##..###....#.#.######..#.#.#..####..##....##.####.#####.######.##............##..###.####.#.#.#.......##..#..###.#.##.#.##.###.#.######....#.#..............##..##....####.#..##.######.######...##.##.#.#######.#............##.#.##.######..###.#.##.###...#######.##.#.#.#.#.#.######.###....#.#.#...#.#####.###..#.##..........###.##.#.####..#.#....#............######.##....####.#..###.##..##.#.#.######.#.#.######.######.##..#########...#####..#####...#.#.#..##.#.#####.####.........#...##......#..#
###.##.##...######...##....##.######.....##......##.#.#.##.##.####.#.#..#####.......###..#.#.###..##.#..#####.###...###.....##.##..##.##.##...###...#...##..##.#.##.#.#..##.##.##.#.#.##..##..#.########.######......##..###.############..##..##..#.#.#.#########.#.##......#.####.#.#.#....#.##.#####.####.#########..##..#.##..###.##.....#.#.#.##.###..#.#....#.#.#.#.#.####.##########.......##..##.....#....###......##.#..#...#.###.....####...######.##.##.#.#....##.######.#########.###..#.#..##.##########.#.########.##.#....#.###...#.#######.#####.#....#..........###......#########.....#.#.....##....##.###.....##.....#.#...##..#########.#..#.#########
#.#.#...##.##...##.#######.##.#.##.#####.###.#####......##.##..##..#.#.##.##..##########...#..#..##..#.##......######...#.###...##........##.##.###.###....###....#.#.#.##..##..#.#......####.#.#.####....##.#..####..##..#....##.#.##.#..##..####.#.#.#.......##..#....#.#.######....#.#.####.......##.#######......##....######..#...###.###.#.#..#.#.##...#.##..............#..........###.#######.##.##.##.######.#######.##.##.##..###.#.##.####.###.##.##........##..#..##.##.##.######..###.#...##...#.#..#..###.....##....#...######.###.#.##.##.####.####.####.##.##.####.##########.#.#...##.##.##.##..##.#..#..######.###.####.###..##.####.####.##.......#...#
#.#.#.####..##.##..###.....##...##..##........##.#.####.##.##.####.#.#..#.###.......#.####.#.##.####....######..##.####.###.##.##..########..##.##...#####.#...######.#..##.##.##...#.##.#.##......##..#####...##########...##...........####.##.......#.#######..##.######...##.##.###......####.#####.....##..#########.####.##.##.###....##.#.#.##.#.##.###..##.#.#.#.#.#.####.#.#.###...#..#####.....####....##.#.#.#.#.#.##..#....##.#####...#.....#.##....#########.######............##.#.#...#.##.#...#.##.######.#######.##.##.#.##.##..#........##.....####....#.##....#.###....#.....#.##############..###.###..#.##...#.....#.#.##...............#.#.###...#.#
#......##..##...#.##.###.#..#.###..######.##.##..#.#..###..#...#.#.#.#.##.#.#.#######.#.##.#....#..###.##.##...##..#.##..##.##..##.....###..##..#..###.#...#.###.##...#.##..##.#..###.####.####.##....####.###......#.##..#####.#####.#.##.#...#####.#.#.#.##.###.........##.###.##...##.#####.#........#.#..##.#.##.#.##.#.#...#.#....###.##..#....#.#.##.###.###########.#....#.##############..#..##.##.#..#####.......#.#.###.##.###...#..###.###.###....##########.###.#....####.#.#####..#.#.######.#####........#####.##...##......#...##.#.######..##.#####...#.######.#.....#.####.###...###.#.......##.####..##.##..###.#.#####.#.##.###.#.#.#########..##.###.#
#.#.#.###.#####.#.##.#.####.....##..#.##...#####.....#####.#.#.....#.#.#..#.#....###..#.##...####.##.#.##.#..#..##.#.##.###.##.###.#####.##.#..##.###..###...##...###....#.###...##.###.#...#.#.####.###.#.##..######.#..##.#######.######.#.####.####.#...#....#.#######.#####...#.###.....##...#####.####.##..#..#...##.#.##.##.#.####.#..##...#.##.#.##........#..##.##.##.########...##.###..##.######.#.###.#..#######.#.#.#.##.#.##.##.##...##..##..##.##.#........##.#.##....###..##.##.#.#..#.##........######...##..####.##.######.###..#.###.###.....###..#.#....#.####.####.#.##.#.###...#...##.#######..########.##.......##..#.##...#.###.######.######...###
#.#####.#.##.##.#....#..#.###.###..##..##.###..####.##..#..######.##...#.##...#.##.##.#.####..##..##.#.#..#####.#..#.#..#.#.#.......##.#.##.##..#.#.##.#.###.##.###.#.####.##..###...##.#.###.#..###.#.#...###...####.#.###..#.##....#.#.#....##...##....###.##.....##..#...##..###...##.#######.##..#..#######.#.##.###.....#.#....#.#....##..#####.......#.#.##...##...#######.##.#..#.#..#.#.###....#.#.#...#...##.#.##..#.#.#.#........#..##.####.##.#####..#.########.....###.#####....##.#.##.#.##.######......#.#..##..##......#.......##.........#.#####...#########..#.####...........##.#...####.....####.##..##....###.#######.#.##.###..##...........#.###..##
#.##.##....#.#..##.###.##..##.#.##.##.##....#.##.##..##.##.##.#....###.#.##.######.##.#.#..##..##.##.#.##.###.....##.#.##.#...########...#..##.##...##...##..#....#.#.#.##..##.#.#.###..........##.###.#.###...###..#...#.##.#.#..##.......#######.###.#......#.##.###.###.####.#.##.##...##.##.....#####.#####.#.##..#..###.....##.....####..###.###.###.##.#..##.##..####...#.......####.##...#.#.####.#...###.###.....##.....#.#.########.##...##..#.....##.##.#......##.##...####.#######....##.#.........#.######.####..##..###.##.########.##.####.#.......#...#.##.###....#.#.######.##.#########.##.####.#...#.#####.##.#..#..#.#.#.##.########.#.##.#.#.....##..#
#..#.#..####...##...##..##......##.....##.###..#.#..##..##.##.####..##.......#.#.#.#....#.##..##...#.#.#..#.#####..#.#......########.###.#.##...##.####.####...####.#...###.##.........###.####.....##.#.#.###.#.##.###.#.##.....##..#.#.#....#.#...#..#.#.#########.....####.#.#.##..#.#..#..##.####.##..#.##..#..##.#.#####.##..#.#.#....##......##...#..#.##.##..##.##.#.###.####.##.##..#.#.#.#.#..#.#.###.#.#.#.#######.####.#.##.#.#.#..###..##.#.######..#...#######..##.##......##..#.##.##...####.#.##......#..####..##..#####..#.#.#.#.#####.####.##########.#...##.##..........#..#....##......#.###..##.##..###...#.#.##.##.#.#.##....##.###########.#####..##
#.##...####..###..#....########.##.######.#.##...##..#.##..##.#.##.##..##.####.#.#.#.####..#.####.##...##.#.##....##.#.#.##.###.......##...##.####..#.#.#.##.###.##.#.###......####.##...#....########.#.#.##.....#.##.......#.################.###...######.......##.#####.#...#.#..####.##.###.......##.#.###...###....#.##..##.#####.####..#######.################.#..........#####..#.####...#...##.#.....#.#....###.....##..#.#......#.##.##.......#.#.#.##.###..##.#.#######.##.##..####.....#....###.############.#..####...#.##.........#.#....#######.#.####.#.####.####.##.##.##.###.#..##.#######.##.#...##..#..#.#...##.##.#......####..#..##.....#.##.###..#
#.####.##...##.##.#######.###.......#.##..#.####.###.#.###.......#..##.#.....#.#.#.#..#.##.#.#.##.####....#.##.##..#.#.####.#.#.####.#####.#..##.##...#.#.##..##.##.....##.###....####.#.#.##...##.#.#.#.#.#..#.#.#.#..##########.###.#.#.####..##..#..##.###.#######.......###.#.#.##.##..#.....###.#..#.#.#.#.#.#.##.###..#####...######.#.##.#.#.#..#....##.#####.....######.###.#.##...#.####...#......#####...####.####.####.#...##.###.##.##.##.####.#.#....####.##.#....#.#...#####..##..#####.######...#########..#.##..##.##.##.#####.#.....##..#.##........#...##.....##################..#.#..#.##..#.##.####...######..#.##...#######.##...##..#####......##.#
#..##..###.##......##.#.#.#.#######.#.###.....##.#.#.#...##.#.#.##.######.####.....##.#.##.#...#.....###.##.######.#....#.###...#..#.##.#....##..##.###.#.#..###.##.######...##.#..#.#####..#####....#.#.#.#.######.##........#.....#.#.#....##..##.####..#...........#########.....##.###...############.#.#...###.##.....###..#.###.##.#.#........#.##.#####..##.##.######.####.#...###.##.#.#..#####.##.####..####.#..##...##..#.######...##.##.#...........##.#.#.......####.#.####.###..#.##.#.######.#####.....#.##....##.#.....##.#..######.#..####..##.#######.######.###.#.###.#.##.#...####...##.##.##.##..##..###..###.##..#.######....####..#.###.#######.####
#.###.##.#....####.#......#.##.........##.#####..#.#.#.########..#.##.#....#.#.######.#.#..###...#####.........##....##....###.##.#####.####..##.#...##.#.##.#.#.##...#.#..#######.....#######.##.####.#.#....##.##.##.###.#.##.###.......####..##.....##.#.####.########.##..####.##...##.###.##..######.#.###..##.#..#####.#.#####..#......#.##.#..........##..#.#...###.....#....###.#..#.#.##.##.#######..##.###..#.#####..##.#...#..###.#..#####.#######.#####...#.#.#.........#...#.#.##...........#.##..##.####.##.##..#.#.######...##.#.#######..#.###.....#....#.#.#.#.#.#............#.#..#.###........###.###.....##....#.##.#.#..#.####.##.##...........###..#
#..#...#.#.##.##.#######.##.#######.#####.##..##.#.....#########...#..##.###.#...##.#.#...##...###.#.#.#.##.#.##..#.####.###...##..##.#......##....###....##.#.#.##.###...######.#######..##.#....##.....##.####..#.#...####......#.#########..##..######.#.#.######..#.#.###.####.##.###.........##.#..#.#.#...##..##.........#.#.##.#.###.##.###############..##.#.###...###...#.##.#.##...#.##.......#.##.##....##.#..##.##..#.#.###.##.#.##..##.........#.##.###.######.#.#.##.##.###......###.#.#.#....#.##....##..####.##.#.#.#..#.####......##.##.#.....#.###.####...........######.#.######.....##.#####.#....##.#########.#........##............#######.###...##
##...###.#..####..##.##...#.#.#.....##.....#.###.#.#####.##.#..###...##..###.#.####.#.###.####...#.#.###.####..#.##.##.####..#....###.#.####..####...###.###.#..........#....##...##.#.#.###...#####.#####..##.##.....#...###.#.#####.##.#..##.###..#.##........#..#.##.#.#.#.#.....#...##.#.#.#.##..#.##...###....###.#.#######.#.#.....#######.#.#.#.##....##........#.############.#.###.##..#.#######.#..##.####..#.###.#..##.#..##.##...#..#####.##########..##..##..#######..##...####.###.########.###.###.#####.##....#.....#.##..#.#.#######..#.#.#.#.#.....#.##.##.#.#.##.#.#.######..#.#.#####..##.#######....#..##.#.#.#.###.##....##.#######.....###.#.###.##
####.#.#...###.##.##.#..###...#####....#####.##..#..##.#.##.##.#.##.####.#......##....##...#.###.....##...###.####...#..#.#.##.#####..###.##.##....###...#.#.#.########.##.######..#.#.#.#.###..##.#.###...###..##.####.#...#.###.##.......##..#.#.##.##.######...##..#.#.....#####...####.#.#######......#.#...####.#.#####.##..#.##.#.##.#.##...........#.###.####.#...##...#.#.##..#..##..##...........#.##...##..##..#..##.##.#.##...##.##.##.##.........#.##..#.##..###.#..#####.#.#..#.###......#.###.#.#......##..####.#.#####....##....#.##.#.##.#.#####.###.......###.#.##......##.##.##....##.##..#...##.#..####.##....#.....#.###.###.......##.#####.###..##..#
##.#.....#...#....#..#.##...###...##.####.....##.#.###.#.##.##...#...##....#.#######.###.###.####.#######.#.###.#..###.##.#.#####..##.##..#...###.##.###.#.#.#...######..###.##.#.##.#.#.#.#.##..#.#.#.###.#.#.##.....#########...##.#.#.#..##......#.##.....####..#.##.#.#######.###..#.#.#######...#.##.#.#.#..##..#..#.....##.#.##.###....##.####.#.######.#...##.##.###.###....##.#.####.##.#.#######....###..##..##.#.###..#....##.##..##.##.#..#########..##.#..#.##.#.#.##.#.#.####.......######.##....#.######..##..#......##.##..#.####.##.#....#..#.##.###.#.#.#########..#.#####.##.#..##.....#.##.###..##...##..##.#.#.###.###.######.#.##.##....##..#..###.##
#....#########.####.##..#.###.##.##...#.#.#####..#.##..#.#...###.#.###..#.####...##..##....#.#.##.#..##.#...##..##...........##.##.....##.###..##.....##.....#.###....#.####.##.#.##.#.#.....##.##......#....#.###.####..#..#####.##.#####.#######.##.#..#.#....####.##......##.#.##..##.#.....#.##.############..##...##.#####..#.#...#..#.##....######.#.##...####..#.#.#.#.#.####.....#....###.#.##.#####.....####.##...#.##.##.####..##..#.##...###...#.###..#.##......#.#.#.......##..#.#.#...#.##..##.###..#.#.##..##.#.#######.###.....##..#...####.##..#...#########..#.#####..##.#.##...##..#.#........##.#..#.##.#####.#..######.##...############..#.##.###...#
###.###..###.#..#...##.##...#..#.####.#.#..##.##....##.#.#.#####....###.#..##..###..####.#.#....#...##..#.#####.##.########.##..#####.##...#..##..#######.####.....#.####..........#.#.##.####...###.##.#.####.#.#.#..##...##..#...#..#.#####...#..##.#.####.##..##..##.##.###.....##......#.#.#....#.#...##.#...##..#.......#..##.#.###.#####.####.#.#.......#....######.#.#....#.##.####.#####.........###.#####.##.##.###.#..##.#..##.##.##..#.#.#.#.###.#.#.##.##.######.#.#.#.#.#.##.##########.#..##..#.#.##.#.###.##.#.#.#.#.....#.#.#..##.#.###.......########..##.#.##.#.####..#......##########.#.#.#.##.#.#####.#.##..#.##.##.#.#..#.....#.#.#######..#...###.#
#...##..##.#.#.##.###..#..###.##..##..#.#.##...###.##..#...#...##.###.####..##.#.##.##.#.#####.##.#####.....##..#..#.####.####.##.#...####.##..##..#.#.##...##.#######.######.#.####.#.#.....##.##.#.####.#.##.#.#...##..#..##.#.###.##..##.###.#.##....#.##########.#..####.###.#..#.#############.....#.##.##.##..##.#######.##....###..##.#.#.#......#.#.#.#.##....##......#.##.....##....##..#.#######.###.##..##..#...#.#.##..#.##..##.##.####.#.#..#..#...##.#..#.#.#....#.########.#.#.#.###..#.####.#...#..#.#.#.#..........#.#.#########.#.#...#######.#....##.............#####.#######.#.....#######.##...#.#.#....##....#....#...#####.##.#.....#...##.###.#.#
###..#.###.........###.##..##.###..##......##.##.#..##...###.###...#..##.##..#.#.#..##.#..##..........###.#####.##.........#....#.###..###.###.###.#.#.#..###.....#.##...##.###..###.#...######.#..#.#.#..#.##.#...#####.#####.#.##...#.###..#....##.##.....##....##.#.##.##...###.##.#.#.#.####....########.#...#.###..........##.###.#.##..#.....##########.#####.#.##.########..##.####.###..######.#.#.##..#..##..##.###....##....##..#.#...##......##.##.###..#.##.....##.#..#.#.#...#...#.#.#.##...#..#.###.##.......#.#.####.###...##.#.#......#....#.#....#####.###.#.#.#####.#...#.........#####...########.#.#...####..####.####.###.#####....#####.####.#.#.#.#
#.##.#.....#####.###.#....###.#.##..#.######.....#.#####..#...####.#.##..#..##.....###.#.#######.######.#...##.....#########.####.#.#.##.#..##.#.#.......###..#.#....#.###...#..##.....###...#..##.#.#.##...##...#.##.##..##.#.#....#.....##.####.....#.######.####..#.##..#.####..#.........#.####....#.##..###.....##.#.#.######..##.#..#.##.#.#......##.#####..######.##.##.##.######.#..###.#.#..#.#.#..##...####.##.#.#.#####.##..##...#.#####.#.#.....#.#.#.##....#.#..####.#.#...#.#.###.#.#..##.##.##..##.#..##.#.####....#.#####.#..#.###.#####.#.....####.#.#...#####...#.....#...#.########..##.##...#.#..#.#.###.###....#.#.##.#.#.#.##..########....#.......#
#.#....#####..######.##.#.##.....##.......##.###.#.######.###..##..#.##.##.##..#####.#.....##.......##....#..#####.#.#.##..#.#.##.....##.#.##....#.##.#.##.##.######...#####.##.##.#######.#.#.##.........#.##.#####...#.##..#...#####.#.##..##.#.##.##.....#...##..##..##.#..##..##.#####.#....##..####..##...##.############.##..##....##..#.##########....#...######.............##.#.##..##...#.##.....##..#.#.##.#..#....##.#..####..###...#.#.####.#.##........#.##.#####.......#####.#.#.#.##.##.##..##.#....#######.#########.######.#.#.#.###.###.#.#..........####.##.#...##.#############.##..#.##.###.##......##.#.#.##.................####......####.###.###
#...##.#.###.##.#..#.####..##.#.####.##.#..#.##.....##.##.##..###.##.....#.###...##..#.########.#######.######.....#......##.#.#####.##....#####.#.######..#.....#######.##..#..#.....##.#.###.####.#.##.#####...##..###..##.#.###.#.#######.##...#########...#####.##.###...##..##...##.####.#.###..#.##..###.........###.#.#..##.###.###..##.##.###...#.####.####.#.#.###.###.#####..#..##.##.###..##.####..####.##...##.#####.#.##..##...#.###.#.##.######.####.#.#######.#..###.#....#......#..#.....#.##....#.###..###..#####.##....##..#.#.....#...#.#.#.####.#.#.......#.##.##......##.........#.##.#...#..####.#####.#....##.####.#.#########....#.####..#...#.###
#.#.#..#...#.##...##..####.####.#.##..###.####..##.###.#...##.#...######.#.#.#.#.##.##..###......#.##......#.#####...####..#.#..#.##..####.#.#.......#.###...#####..###..###...##.######...##...##..#######..#.#####.#.##.##..........#.#.##.##.###.#..#.#######.#.......###.###.####.#..##.#####.##....#.##.##.######..#..#.#.##..#.#.#.##...........###.##..............#..##.....##.#.##...#.###.##..#.###..##..####..#.#.##.....##..#.###.....#.....#.#.#.#.####......#..##.########.#.######.##.#.#......##.###...##.#.##...#.#..######.....#.#...#####.##############.######..#.#.######.##.#.###.##...#...##.....#.#....##.##...#######........##.#....##.#.#####.#
######...###.##.###..##......##.#.#..######..##.####.#.##.##..#.###.##...#.#.#.####.##.##.#####.##.#####.###.......####.##.#...##.#..##..#.#.#.###.###..#..###.#.#.##.#.##.#.#.#...#.##..####.#.##.####.#.##...#..#....##..#.#####.####.#..#.##...#...##....###..####.####.#.#.#...##.#.##...#.#.....####.#..........####.##.#....##........#####.###...#....######.#.#.###.#########....####........##....##.####..##..##.#....#######.#.#...###...#####.#........########.##......##.###..#.#.#.##.#################..#.#.##.###.#.##..##..#.#.###.###.##....#...#.#.######....##.#.#..#.##..#######..##.####.#######.#.#.#.#######.##.#.#...#.#.##..########..#....#..#
#......###.#.#..#.##..#.##.###....##.#..##..##....##.#..#..##.#..#...###.#.#.#..##..##....###.#.....##.#.#.#####.#.......####.###.##..##.#...#####.#.#.##.##.#...#.#..#.##.###...#......##..#.###.....#.#.##.###.##.####..##.##.####..#.#.##.##.###.###..####.##..##....##.#.#...###.......###.##.######....############...#.#.######.#####.....#...#####.######.########.####.#..######..##..#####.#####.##....##.##..###.#.####.#.##..#...#...#.#...##..#.##########..##...##.#####...###...........#.######.....#.##.#.#.##.#.#.#.###.#..##.#..##......##.###.#..........##.########.##.###...#.#.##.......###.#...#.....###..#.#####.....#.#.#..#####.##.#..##.####.##
######..##.#.#.##.##.#####.####.###..#.##..#####.##..##.##..#.##...#..##...#...##..###.####.#.#.#####....#..##.####.####..##...#..##.##..#.####..#.#.#..#.##.#.###...##..#..##.####.#.#.##.##...###.###.#.##.#...##..####.##......##.##.#..#.#..###.#...####..#..####.###..#...###.#.#########..#.####.####.###.##...#.###.#.#.###.#....####.############.#..........#.....##....##.#.#..####.#..#####....##.####...##.........#..#..##.#.#######.#.#..##.#.#.#..##..##.###.##......#.#..#..####.#.####........#.#....#...#.#.........##.#.##########.#.######...##.##.##.###...##.#.#####..##.###.#.#..#####...#.###.#.###.....##.#.#...#########.#####..#..#.##...##...#
#.#.##.###.#....#..#..###..#.#..#.##.#..##.##..#..##.....##....#.###.#####.#.#####......#.#...#..###..####.##...#...#.###..#.#.#.##..###.#.##.##.#.#...##.#........#####.#.##...#.#.#.#....##.###.........##...#####.#.##.#..#.#####.##...##.##.#.#.#.####.##...###.#...##.###...#.#.##...##.##.#....#..###.....##.###..##.#.#.#.#...####.####.####.#.......###.######.###....##.##.#...##.##...##.#.##.#.#.....##.###.#####.#...##.##..#.......######.##.#.....####.....##..#.####.###.##.###.######.#.#.#.#.#########.#.#.#.####.##......#.......#######.##..############.##.##......#.#.###.#.#...##.#.#######.##......#.###........###.....######..##.##....##.####.##
#.#.##..#..##.###.##.##.##...##.#.##...##...##.##..##.#######.##...####..#.#..##.#.####...###...##...##..#.####.##.##...#.####.#.###..##...##..#...#.###....##.##.##.##.....##.##.###.#.#####.#.##.#.#.#.#####.#.##..#.##...####.##...#.###..##..........#.##.###.#.##.##..###.###....#.###..#....####.##.#.######.#.#.##..#.#.#.#.#####....#...#.#.#.#######.###..##....#.#######....####.##.#.#....####.#.######...#.#..#####.###..##.#.#########..###..#.#####.#..######.##...#####..........#.#.#.#.#####.....###.#.###.#...####..####...#######.......#..####.##.##.##.##.##.######.........###.#.......#..#.#..##.#######.####.###.#.#####.##.##.#..##.#.##...##...#
#.#.#..##.##..##..#...#.##.####.#..#.#..#.###..#..##...#.##.#....#.##.##.....##......###.##.###..###..##.#..#.#.##..#.#######..#..###.##.#####.##.##.##..#.#########.#####.##.......#######.#....#.#######.#.#......##.##.###.#...#.###..###.#..#.#.###.##..#.#.#...##.##.##.#.#.###.##.#.##...##....#.#....##..........##..........##.##.###.###.#.#.....###..#..###.######..#.#..####....##.###.####.#....#..#.##.##.#.##.#####...##..#....#.##.##..###.#.#.#.#.#.###.##...#.###.#...##.#######.#.#....#.########.#.#.##....#.#.###....##.####.#.#.#######.###.#........#.#..#..###..##.########...#.##.##.#.##.##..####.##.###.#####..#.#.##...#.##.#.###.######..##.##
#.#.##.##..##..#.##.###.##.##.#.#.####.##...##.##..#.###.#..#.######...####.####.##.##.####..#..##...##..#.##......##....#.#..##.##.#..#.#..##.##.##....##.#.##.###...##.#....#####...###...##.###..#.####.#...######...#.....#.###..#..##.#.#.############.#.....####.#.........##.......#..#..##.###.#.#####.#.#.##.#....#.########..#..............#####.#.##.###......###.....##.####.##...##..#.#.#.####.##.##..........#..###..##.#.####.##.##.##.#.#.........#.#.####....##.#.########.........##.........##.#....#.######...#.########..........##...#.....##.#####.#.##.##.##..#.#.##.#.###....#.####.#..##.###....#.###...#.##......##.##.##.....#..#.#.#.##...#
#.......##....##.#..#.#.##.##.#.#.##....##.##...##.#.....##.#...#.#..#.#....#.#...#..#..#.##.##..###.##.##..######..#.####.##.##.#..##...#.###.#..##.#######.##.#.##.##..#.####..######.###..#..##.##..#.#.###...##.##.##.###.....#.##.##..#...#......##.#....#.#.#....##.########..#.###.#.#########.....##.#.##########.########.###.#.#########.####...#........##.###..##.#####...##...##.###.##.#....###..#..#.##########.#####.#.........##.##.#......#########.#..###.####..#........#.##.#.###############....####.#.#.##.#######....##.###.#.#..#.###.######.#####.#..#.....##.#...##...##..######.##...###.....####...#.###.#..#######.##..##.####.##...#..##.##
##.#.##.##.####..##.....##..#.#.#..##.###...##.###...#####....###.#.#######.#.#.######.##.##....##...##..#.##.##.##.#...##.##.##.#.##..###.##..##.#.......##.#....##..##.....##.##.##...#.#.##.###....##.......####..#.##.#########.##..##.#.#...###.###.#.#########.#.......###.##.#######.##..#.#.#.###..........#.##....##....................#......#.#.########...######.#...##.##..#.#..#.#..#.###.##.##.#.##.##...##.##..#.##...#######.......#.##.#.#####..#..##.#.#.#####...##.#.#...#######........###.####.####.#......##.##...####....#.######.#........#.....#...##.#####..#.######....##...##..###.#.#.#########.##.#.#.#.##.#.#.#.###.#....#...#.###.##...#
######........##..##.######.#.#.##..#.##..####.#.###...#####.###..#.#.##..#......#.###..#.#####..###..##.#..#.#..##.#.###..##.......##.#....##....#.########.#.######..##.##.....#..###.....#......###########.##.##..........##..#.#..##..#.###.#####.#.#...#.#.#.#####.#####.#.#......##...##.....#..####.#.######..###.##..###.###.#.#.####.#.#.########....##....#...##...#.###..#..#####.#.#.##.#............#.##.###..##.##.#..#.##....#########..#.#.......##.##..#......#..######.##.##.#.#.#.########.#.#...........######..##.####.#.#########...#.########.#####.####.##.##.##.#.##...######.###.##.......#.###..##.##.#.#.............##.#.####.###.##..#..###
#.#..###.#.##.#..###...#.#..#.#.##.##..##..#.#.#.#...###.#.....##......##...######.#...##..##.#.##.#.##..#.##...##......#.#######.#.##.#.########.#.###..##..#....#.##.##..#.###...##.####.##.###.#####..#.#.#..#.#..#.##.######.##.##..##.....###..#..#.#.###.#.#..#.#....#.#.#.#.######..#####.####.##.####.###..##.#.###..############...######...###.#..#####.##.########....###...##.##.......#...##.#.#.#.#.#..#.#.##.........##....######.#.#...####.#.#.####.###...###.##.###.#####........................####.####....##..##.....#.#......#.#..###.#..##.####.#.#....#..#.##..#.#..###.#.#.#...#...#.#.#####...#.###..#.#.#.##############....#.....#.###...##.#
#...##...#..####.##..###.##.....##..#.##..##.....###.#.#.####.##..#.#.#####..###.....#####.##...##.#..##.#..###..##.#####.##.##...###........###......#.####.#.####.#..#..####.######.#....#...#####..##.....#.##...#######.##.#..#.##.###.#######.##.##....##.....##.##.###.........##.##.#.#.#............###.#.##.....###............#.#....###.###...##........######.#...##...###.##....###.#...#.##.#.#.#.#...##.#.##.#######.########.#.#.#.#.##########..#.#.#.##.##.####.......####.#.####.###.#####.##.#....#.#####.#....##..#####.#.######.#.##.#...###..##....#.####.##..#.##.#.##.......##.##.#####.##..#.###.#.#.##..............###.#.####.#####...###..#.#
###.##.####..##...#.####..##.######...###..#.#####.......##...###.#####.....##.#.######.#...###....#.##....##.#.##..###.#.##..###..###.#######.####.###.##.#...#.##.##.#.##.#...#.#.#.####...###...##.######.#....#..........#.#.##.##...#.#.............######.##....#..##..#.##.##..#.##.......#.###.#.#####..#.##.###.....#.#.#.#.#.####.##.#.###.#.####.####.#...#..#.#.########....#.##...###.#.#..#####.#.###...............#..............#.#.##.#.##.#####.#.#....#...#...#.#.#....#.#..##....#...######.##.#.#.....####.#..##..#.##....###.#.#..#...###...###.####.###..#..##..#.#..##.######..##....##..##...#...#.#.##.#.#.##########.#....#......##.######...#
##...####...#####........##......####...#.##.....###.########......########.#......#.#....####..####..###.###...#..##.#.#.###...##..#...#..#.#.#.##.#.#....###....#.##.#.##.##.##......##..#.##..###..#.##...#.####.#.##.#.###....#.####.....#.####.##.#..###########.#.##..###########.##.#####.#..######.#...##..#.#.###########.#.######..#....##....#.#....####.##.##.#.###.#..####....#.#.###.#.#####.####...#.#.##.##.#.##.###.#.#.##.######....#.#.#..#.#.#.#.#.####.###.#########.####.##..#.##.#......#..#.#.#.###...#########....#.####.#.#.#.##.#...##.##....#.#.#.##.#.###.##.#.##....#.#..##..#.###.##..###.###......###......#.###.#.##...#.#.###..##....###
#..####.###..#.###.#.#######.###.#.###.##.##.#####.#....##.#######..#.#.....#.#.#.##.####.##.##....##..##.#.#.###.###.#.#..##.###..##.###.##...#.#......#######.###..#.#....#...#.######..####..##.##.#.####...#############.###.##..#...#######..#########.##.##...#...##.##.#####.#.#.##.#...####..........#..##.#.........#####.#.##.#.#.##.##....##.....##....###.......#.#...####..#.##.#...###..#.......#.#.#.#.##.######..#...#.###....###..##.......##.#.#.#.#...........#...#.####..#####.#########.##########...##.##.#.##....##.................###.##..##.###...#.##...##...#.#..##.###.#.###.#####...##.........##.#...##.#####.#.#....##########..##..######
##.#.#....##....##.####.#.#....###.#.#..#.#....###.#.#####..#.#..#.##.#####...#.#.##...##.##.#..####..##....#.#...#.#.#.##.##.#.##.........#.#...#.######.##.##...#.##...#.##.###..###...######.##.##.#.#....#......###.#.#......###...#.####.##.####...##...#..##.##.####.....##.#.#........####.###.##.#.#.#####...#########.#.#####....##########..#####..#.##..###.######.#.####.#.#######.#...##.#.##.########.#.##..#########.###########.#.##..#.###............###########.###...#..###.#####.##.#######....##..###..........######.##.###.##.##.#..####..##....###.#.###.##..###.#.##..#.#.#.#.#..##.##.###.############.#..###..##.#.#.#####.#.#.#.##....##.##.#
#..#.####....####...##....#.######.....##...####.#.#.#...##.#.##...##.#.#.#.##########.##..#.##..#.##.###.#.....###.#.#.##.##.#....##.##########....#.###..#.##.###.##.######.##..##.###.#.#.#..##..#...#.##.########.#.#.#.####..##.#####..#.##..#.#.#####.##.##..##.##.#.######.....#.########..############.....###......##.#.##.#..######...##.#######..##.#####.#....##.......#.#....#.#####.##.....#.#.....##.#.##.##.#.#.#####.##..###.#....#.##...#.##.#.#.##.####.######......###.##.#.#...........##.##.#####...##.##.##.#......###....#.##..#.##...###..##.####..#..##..##..#.......##...#.#.#.##............##......#########..#.#....##.#.#.#.#.###.#.##.#..#
##...#.####.##.#..#..##.###....#.#####....#.#..#.#...#.####.#.#..#.#..#.#.#.#######.##.###....#.##.##...#####.#####.....##......#.#####.#...#.####.##.#.##.#.##.##..##...##....#.##..#.......##.##.##.#.#.#....###..#.#.#.###..##..#.#.####....##.#....#.#......##.##.##......#.###.######..#..#.##.##.....#######...#.##.####......##......###.....##...#.##..#.##....##.##.#######.#.##....#########.#.#...######.#######......#.##....##.....#.#########.##.#.#.##.............######.#.#......###.#.#####..#...#..##.###.##..#.#.#.##...##.######.##..#####.##.##....##.#.##..##..##.###.#..##.##...#....#.#.#.###.###.####..#.#.#..##.#.#.#####.#.#.........###....##
##.###...#...#...#####..#.#.####...#.#.#######.#.##.##..##....#.#####.#.......#.#.#.#....####.#.##..##.###.##.#.#.#.#######.#######..##.#.###..###.#..#.##.#.##.##.##..#####.###..##...#####.#..##....######.###.#.##.#.#..###..##.....#.#..#.##....####.##.#####...#..##.#####..#...##....##.##.....#.#####.#.#.#.###..####.#.##.####.######...######.#########.###.####.##....##.#....######.#.#.#.#######..#...#..#.#..#.######..####....#######.#....##..###.#.#..##.#.#########.........##.#.########.##.##.###.###.#.#.##.##.#######.########.####.####.........####.....##..#.##....######..###.##.###############....#####.#.#.##..#.....##..#.#.#####.########..#
#..#####.###...#######.##.#.#.####.....###.#.#.#.#.....######...#.##....##.####...#.#.####.........###.##.........#.#.##..#..##..##.##..#...##.#.....##..#.#.##.....##...##..#.##..#.###.#.####.#..##..#.##...........#.##...##....#####...######.###....##.#..##.###.##...#.###.#.#..###.###....#####....##.#.#.#.#...####.....#.#..#.#.##.###..#........##.#...#......#.#..#.###...##..##.#....#....#.#.###...######.##.....###..###...##.....##....####..########.##..#...........#.#.##.#######..#.#.#.......#.....#.#.###..##...##.##.#...#.#.....###..####.####..#.##.##..#.##....#######.##...#.##...#....##...#.##.#...###...#..##...###..##......##.###.#...##.##
#.##.##..##..#...##..#.#..#.#....#####...#...#.#.#.##.##.#####.##..###.######.###.#.#..#.#####.#####.#..##.###.####....##.##.#..###..##...###..####.##..##......#####..#..##....##.#.##....###..##.###.#.#..#.####.#.##..#.#######...##..###..##......#####.#.##.......#.#.#..##...####.#.#.#.####.###.##.##.#.#.#.#.####.##.#######......#...##.#.######..#.###...#.######.####.###.######.#.####.####.#...#.#.##.##...###.###...##.###.########..#.#########.##.######.#.#.####.######.##..#..##..##.#.#.#######.#.#####...####..#.....#.#.###.#.#####...##.##.##.####.....####.#..##.#....#..####.#.##.###.######.##.#..#####.##.##.##..#...#####.#######..##...#.#...#
#..#..##.#..####..##.#.#.##...######...###.###.....#####.#...#..##..##....#.#..##.#...##.#.##.....##...###.#....#.####.##..#.#.##.#.#####.#.##.###.....##..#########..###.##.####....####.##.##..#.#.###...####.########.#.##.##...###..####.##..####..##.#.#..##.##.#####...##..#####.............#.#.#####.#............#......#.###.##.#.###..#......#.##.##..######.##..#.##.#.#.#.##.#...........#.#.########..##.##.......####.##.....###.##.###.......#.......##..#.#.####.....########.###.##........#.###.####.#..###..#####.######.#.#.#.##.###.##.........###.########...######.###.##...........#.#..#.#.##...###....##.##.#..####.#...#....##.##....######.##
##.#.##..##.#######......##.###.##.###.##...####.###.##..#.#...##..###.#.##...##..#.###....####.######...#####.##.#.#...#.##.#.#.....#.##...##.#.#.###....####..#..##.#.###....####.##.##.##..##......#..#...##.#.#.#.#..#..#.####.....###....##.#.##.##..#.#.##..####.##..#####..#..##.############.....##....#.#.####.###.######.#....###...##...#.#.#####.##.###.#.#..##...##.#..........#.#.#######...####.##..##...###.#######...##.####...#...####.#####.#########.#.#....#####...#....#.##.....########.#....#.#.#.##.#.##.#.####.##..#.#.......##..######.##........#.....#.#..##...#...####.###.####.#.##...##.####..#####......##.######...#####..##.###.##.#..#
#.....##.....#..#.####.#..#..##.##.#.#..##.##.#....#..##.#.###.###.#.###....####.##..####.##.##...##.###..#.##......#.#.#.#......#.###.#..####.#...######....##...###....###.###.......#...##..##.#####.######........##...##.#.#..#.#.#.#.#####.#.######.#...##.##.##..##.#.###.##.##............##.#####..#.######.####.#.#......###.####.####.#######.#.#.##.#.#.#.##.#..###....######.#########.#.#.###.#...##....####...#..#.###.#...#.#.###.#..##..#.##........##..#.##.#....######.####..##.#.###.###.#...####.#.#.#....#.......#.###.#...##.##....##...##..#.########.#######.##..###.###..#...#.###.....#.#..#.#..##.#.##..#.##......#.#..###.#.##.....##.##.#.##
##.##.###.####.##...##.####.###.#......##..##.#.####.###.###.....#...###.####..#....##..#.##.#..####.####.#....########.#.##.#######.#.#.##..#.###...##.######..#.#...####....#####.##.#.#####.#......#....##..#.#########..#.#...##.#.#...###.#.#..##.#....###..##.##.##.....#........##.##.######..#...##.########.#.#..#.#.######.#.#..........#.#.##.#.#.##.#.#.#......###..##......#...##.#..#.#.........#####.####.##.##.##..##.#.#......##.######.#....##.#########..###.##..##.#...#.##.#..####......#.###....#.#...####.#######..##.#.###############.##.#####.###.#....#.#...#.###....##...#####.##.#######.....###....#.#####.#.####.##.###.#....#####..#.....#
#..####.#.####..#.#.#...#.#.##..######..##.##.....##.##....#####.##.##......##.#.######.#.##...##..#.#......##.##.#.##....#.......##.#.#..##.#..###.###.##..##.#####.##.###.###.##...###..##.#.#.######.####..####.#..##.#.##.##.#######.###.#.#...###...####.#.###.#.....#.#...##.#########......##.#.###...#.#.#.#.....##...#.#.#......###.####......#.#.#....#.#.#.######...##..#.##.#.#.##...##.#.###.#####..##.#..#.##..#.#..##....###.####....#.#....#.######..#...##...#..##......#.#.#....###.#.##.###.#.##.###...#......##...##.###......###.####.#.......###....#.#.#.##.#.#.......####..#....##......#.#.#.#.###...####.....#.####.#.##.....#.##.....##.#.#####
##..###......#.####.#.###.#....##.#.###.##..##.##.....#.####...#.##..###.#.###....#.#...#.####.#..##.######..###....#####...#####.#....#.###.#.##...#.#..##.#....##......##.###..###.##..###.#.....#..#.#.##.##.##.#.##..#.##......##.#....#.....###.#.#.#.##...##..#.##.#####.###..#.##.#.###.####....#####.#.#.....#####..###.#.#.###.##.#####..######.#.#.####.#..........#####.#..#.#####..####.....###.#.#.##..#.##.##.##.#.##..##..#######.#.##.#.######.##.#.##.#.#..#.#####.#.######.##.###.#.#..#.###..........#.#.#.#.###.###..#.#.##.#...#......#.##.####...####.#.####...#.##.#.###.#####.####.######.#.###...###.##.#.#####..##..#.##.#####..#.#####........#
#..##...###.##.#.#.....##...#####....##.##.##...#######.##.###...##.##.#.###.####.#.###...#.#....###..##..#.####.#.##..###.####.#####.##.##..#.###.##.##......#####.####......##.#.#..#.##.....##.##.##...##.##.##.#.###.#..##.######.##.###.#####...#.###.##.#####....#...##....##....#.....#####..####.#.#.....##.##.#.#.###.......#####..#..#.##.####............####.#.#...#.#########..##......#.#..##...#.###.#.##.#..##.#....####.........#..........##.#.......####.#..##.#.#.....##.##..##.#.#.####.#.##################.#.#.##.#....#.#####.####.####.#....######.#.##.#.##########.#..##.#.##.#....##..#.##..###...#........######........###.######.#.#####.##
##..##.######....#.##.##..###.#.####.##.#.....#..##.##..##.#...#..#..#.#..##.#.#....###.###.##.####..####.#.##.#.####.##...#.....##.#..#..##.#.#.#.##.####.####.#.#...###.#.####.....##.###.##.####...#.###..##......#...#.##.....#.#.#..##...#..###....##.##...##..#####.###.##..##.#...#.#.#...##..###.....#########.........#####...#.#.##.##.......#.###.##.#.#...########...##.##.##..##..#.#.##########....##.#.##.##......#.###.##.###.#.##.####.#####....#.#.#...#######..#.#.##.###.###.#........##....##.#####.#.....##.#.#......####.....#....####.#.#.#.####..#.#.#.....#.#..#.##.#.##.........####..##.###...###.#.#.###.##...###.#.#####...#.##.#......##..#
##.###....##..######...#.###..#.#.##.#..###.#######.##.##..######.#.##.#.###.#.##.###....#..##..#.##..##.....#.#..##...###.#.######...##.###.#.#.#..#..#.#..........#...######.####.##...#...#..##..#.....##.#..##.###.###.##.#####.#.##.#..#...##.##.###..#..#####.##..#...###..##..#.########.##..##.##.##.#..#.##...#######..######.........###.#.#.....############.#.#.######...#.###.##.######.####.#.#.####..#.##.#..#.##.###....#...#.####.#.##....##.############.#..##.##.#..###.#..##...###.#####.#####.....#.#.######...#.#########.#####.#####...#.#.####.##...#...#####...##.##.#.##.###.##.##....###.#.#.###.#.#.###.######..####.....##.##..#.#.##########
#..#.##.####.##..##..#...#.##.#.#.##.#.##.#..####.#..#.##.###.......##.#.#.#.#..#..#####...####.#.##.##..#####.#.#####.#.#.#.##.##..###..#.#.#.#.#.##.##.##.######.###.##..##..##.#..###...###.###.###.#####...#######.#....#...#.#.#.##.#.######...#.#.#.##.##.#.#....###.###..#########.#.##...##..#.##.#####......#.......##......##.#.##.#..####.##.#.###.##.#.####.#........###....##.##.#.#.#...#.#.#.#.#..##.#.##...#####.###.####.#.#.##.###.########..####.#.#......##...#.##..##.#.##..#...#........##.##.####.#.###....###.##.##...###.#.#..##.###......##...###.#.###.#.#.###..##...##..##########.##...#.#.#.#......#....#.###..##..#####...#.##.#.##..#.####
##.#.....##...##.##.####.#....#...##....#.##..#.#.##...##...##.###.##..#...#.##.#.##.##..####......#.###...##....##..#........#.##.#####...#.#.#....#.#..........#.#.#####..##..#.#.##.#.###.###.####...#..##.###.#......####.###......#.#....#.###.#.#......##.....##..##...########.#.....##.###..##.......##.###.###.##############..####.##...##########..........#.#.############.###..#.#.#.#.###...#.#...###...##.###.#.###.#....#.#.#.....#....#......##.#......##.#....###..#####...##.#######.#.#.#....##..........####...........#####.#.#.###.#.#.####....####....##.......##.##..####.##.#.###.#...###.#.......#.####.####..##.##..##.####.##.##.#.##.##....#
#..#.######.#....#######.#.####.####.####.###.....##.###..###..#...###...###.#..#.##..##.#..######.#.#...####.######.#.#.#.#.##..#.##..###.....#.####...#.########...##.##.####...#.##........##..##..###.##....#.####.###.##.##..#.##.#.#.####.##..#.#.######..##.##..##..#.....##.....#.###..##..##..#######....###.######.#.##.#####....###..###.##.##....##########.....##..##..#..#.##...........###...#.###...#.##..##.#..##.#.########.#.#...####.######....##.######.##...#######..#........#.########.#.#..####.#.###.##.###########...#.#.....#.#.#.##.######.#..#.##..########..##.#..#....#...#.###..#....#.#.#####.#.....##.......###.#.#...#......#...#.#.##
##........####.###.###.#.#..##..##.....##.....#####...##.##.######..####.##..##.#.##.##..#.##..#.....###..#.#....##..#######.#..##..#.#####.#.##..###.###.....##.###.##.#.....##.##.##.########..####.##...#.####..##..#.#.##....#######.........##......##.##.######.###.##.#######.#.##.#.##.##.###.###.##.#.##.....................#.######.##.......##.#####.###.#..#.#####..##.#.##.#..###.#.#.###.#.###.#.###.#####.##.#.###.......#.########...#...#.##..##..#...#.#########..#..#####.#######.##..##.#####.###.######..#..###.........###.#.#####..........##.#.##.#####...##.#.##.##.#.##.####.###..###.#.#########.##...###.##.#######.#.#.#.###.######.#...#.##
##.#########....##..#....##..#.#####.########.#.##..#.......#.#.##.##....##.##.......###.#.###.##.####...##.#.######..#.#.#..##..##.#.##..###.##.##.#...#.##.##...####..#.#.###.........#...#.##..##...#.###.##.##.##.##......######.##..###.#.#.##.######........#.###.######.##.##.######.##.#..#.#...........#.#.#.#.##########.##.#...##.###..#######....#.#...#.#.####..###..#.#......##########.#.....#.#.##...##.#.##.......#.#####.#.#.#.####.#.#....#.##########.#....##.##.#.##.#.#.....##.....###...###......#...##.##.....###.#.###.#....##.#####.######..#.##..#.#..#..#....#..#.#.....##..#.#.##.#.#....##..#...#.########...####........###.##.###.#.###..#
#......###.####..##.##.#####.#.##.##....##..#.#.##.##########.......##.#.....#.#####.#...#.#.#.##.#..###..#.#.##..##.##...##.#..##.......###..##.##.#.######.##.###.###...###.###.###.###.###.##.####.##.##...#..#.#...##.#####..##...##...########.#.###..##.###.....#.##.##...#.##..####...#.#.##.#.######.##.#.#####..........##########..##..###.#.#..#.##.#.###.#....##..###.#.#.#.##........###.#.###.#...####....#....#.##.##.#.#.#.#.......##...##.###.##....#.##...####..##.#.##...#.###....##.##.##.##...######.###.....###...#####.#.#.####....##.......##...##.##.#.#####.##...##.##.######.#.#.##.#...#####.##.###..##.##...#.#....########..........#...####
##.#####.#.#....###.#.....##.#.##.##.######.#...##.########.######.#########.#.#.#.#####...#.#.##...##.#.##.#.#..###..##.##..#.##..##.####.##.##..#........#.##.##...##.#..##.....######...##.##.#.#...#....#.#.##.##.###.##.##.##..###..#...##.#.#.#...##..####..#.###.##.####.#.###..##..###.............#.####...######.###.#..#.##.##.##.###...#.....####.....##.#.####..##.#.#.#.#############.#.#...####.##.#..##...#######.##.........####.####.######...#.####.#..###....##.....###.#.#.####..#.#........#.........##.###...#####..##........###.##..##########.#........###...###..#.##...#.#......##.#.#.#.#.#......##.....##.#######..#..###..##.#.##.#######.#
##....##...####.#.#...###.##.......#.##.##..##.##...#........#.#...##........#.#....##.###.#...##.###.....#.#.#.##...###....##..##..#.##.#.......##.#####.##.##..###..#.#########....##..###..##.....#...#.####..#.##.#.#..#..#..##...##.#####......#.####.###.##.####..##..##..#.#.##..##..##.#######.#.###...######..############.#........#.#.###.#####.####.###....##.##........#..#..###..##.#.....#..##.......##..#.#.#.#.#####.#.#.##....#..#.####.##..#..........####.######.#####..#....####.#.#.#####.#############.########.###..##.#######.#..##...#.##.##....##.#.#.....########....###.#.#######.#.###...#.######..###.......##.#.##.##.#.#######..#.#.....#
#..#######.##...#.###...#####.######.##..##.......#...#.######.###..########.#.#.#####..##.#.####...#.###...#....#.###.####....###.#####.#.###.####..#.#######..####.##..##.##....######.#.#.#####.#########....##......##.#.##.##..#......#.###.####.##.#......#....##.###..##......##..##..........#########...##.#.##..##.####.#.#.########.#.....#......##....#.#.##.....#.#.##...##.##.#.##....#.#.######.########.###.#.#..#.######..#.#######.###..#..##.#.#.#######.#.#.#.#...#..##...####.######....####.####...#.#......###...##.##........#.#.##..###.....##.##########.#...#.##...#.####.#...##.#.....#..#...#.#.##.############..#............#####...#.#####
##...#.#...####.......#..##.#...#.##..#.##..####.########.#.#...###..##.#.##...#..##.#.##.....#.#.#######.###.####.#.#.#.####.##.#.#.##..###.#.#.#..##.#.#.##..##.......###..####....##........##..........####.##.######..#.##....###.##.##..##.###.......#.#########...##.###.##.#.###..#.##.##.#####.##.########....##..#...#........#.###....#####.#######.####.#######.#########.........#..######..##.#.......#.###.......##...#.#########.#...#.##...#######..#####..#.....##.##.##..###.....##.#..####.......#.#.....#.####.##.##...#.########...###.#.#.######...#.#.#..#.#.###.##.######.#.#.####.#.###...##.#..............#.##.##.#.#.###.#.##..#.##.#....#.##
#..#.#.###...#####.####.###.#.#.#..##.#..##....###..##.#..#.##.##.#.##..#..###.#.###.#..###.###.#.#..##.#..##..#.#.#...#.#.#...#.#.#..##.##....#.#.###.#....##..#.########..##....######.##.######.#########.#..#...###.##....##.###.######..##....#.#.###.####.##...##.###.##...#####.#.##.##..#####....#.#.####.#.##.##.##.###.######.....##.#....#..##.##..........##.##.#.#.##.#..##.#.####.##..######..#.###.###..####.#.#.##.###.............###.##.###..#.#####...##.#.#####...#.###..##.#####..#.#######.###...#.##.#####.#.....##.##...###..###.#.#.#.#.#..##..###.....######.#.#...#.#.#.#.#..##......#.#..#.#.#.###.#.######..#......#..##.#######.#####.#....#
##.###.##..###.....#..###.#.#.###.##..#.##..##.###.##..##....#.##....##.##.#.....#.#...##.#..##.#...##..##..##.#.#.#.###...##.##.#.#.##..####.##.#...#...####..##.....#....##..##....#.#.####..##.......#.##.##.#.###.#.##.#####...#..##.#..##..#.####...#.###...#.####.##...#.###...........##..##.####.#..........#####.#.......#.#########..##.#.#.##...##.#########............##..#####.##..##.#.##.##.#...#####.##.#..######..##.##############......##.##..##.##.##..#...#.#.###..##.###.....#.##.....##....##.##.####.##..#.#####..##.###.#.###........#.#.##..####.#####.#.#..#.#.###...#.....###.###########.#.#...#.#....##..##.#.##.##.##...#.........#.##.###
#...##..##...#####.#.####...#..##..##...#..#####.#.###..####....####.##.#..###.###.##.##..#.###.#.#####..##.##.#.#.#.#####.##.##......##.#.#.......#...###..##....#####.#########.####.#.#.###.#..#.#####..#.##.#.#.#.#.##.#.#.#.###.##..#.##..####.##.###.#...###..##..####...#######.############..##....#.#.######.#.....#.#.###....#.##.##.######....###.....###..####.####.######....##....###....#.#..#.#............###.##..##...#.#.######..#.##.#..#.#..###.#.....##.###.#.####.##.#.#.#####.##.######.##########.#...##....##.##.##........#..#.######....##.......#.##.#.##.#.#.###.###.#####.........#.###.#.#.#######.####....#.#...#.#..#...#####.########.#
##.##..###.####.#..#..#.###...####.##.###.##.......#.##.#######..##..##.#.##.#.##..##..##.#.#.#.#.##..##.##.##.#...#...##..##.##.######....##.######.######.##.####.##..#.##..#.#..#.#.#....##.#.#####..##.#.##...#.#.#.##.#.......#..##.#.###.#.##..#...#.##.####.###.##..##.##.##..#......##.##.#.###.##.#####.#.##.#.##.##.#...##.###..#.##.#.#.#..#####..#####.##..##....######.###.####.##.....#.##.#.##.##.#####.#.#......##.##.###........##....#.#.##.#.##.#.#.#####..#.#.#.......#.........#.....###.#....#...##..##.##..##....##..#.########.#####.##..##....#.#.#.#.##...#......#.#.#.#.......##.#.##.....###.#.......#...#..#.####.######.#.#####.#######.#..#
#...##.#.#.##...##.#.##.##..#.#.##........##.#######.##.#..##.#.####..#.#.#.....#.##..##..#.#.#....#.###.##..#.#.###.###..##..##.###.##.####.......#...#.##..#.####..##....##.#.##.......#.###.........##..#.####............#######.##....#.#....##...######.##...#.#.##.###.....##...##.#.#.........#..#.##.##......#..#######.###...#.##.##...#.#.####.##....##..##.##.####.......####..#.###########.#.#...###...###.##.#.#.....#.....###.#######.####.##....#.....##..##.#.#.#.#####...##.#.##...#.#...#.#.####.#####.......##..##..##.#.##..#.##.##..#....##..#.########..###...#.####.#.....#.#.#.######..#.#.######.#.##.#.#...##...#####.##..#.......###.#.....##
##.##.......###.#........##.#.#.#..####.####....#.##..#.#.##..#.##...##.#.##.##...###.###...#.##.#...##..###.#....##..##.####.##.#....#.###..#.##.##.#......##....##..#.####....##.#########.###.###.#####.#..##..#####.#.##.....#.#.##.#.##.#.##.#..#...###.....###.#.#..##..##.###.####.#...#.#.#.#...####.....##.#...###..#.####..###..#.#..###.#.##.#.#..#.###.###..#.##.#.#######.###.....#....##.......#####.#####.##.#.#.###...##########.##.#....###..####.#####..##............###################...........##.###.##############....##.#.##..##.##.#########.#.#..##...#.#.####.#...#########.....###.#####....###.####.#.#..#.#..##...##.###.####.#.....#.####
##.#..#######.#.###.#########...##.#######.#.####....##.#..##.#..###.##.#..#####.##....#..###.#..#.###..##.#...#####.##..#..#.##.#.##...#.#.############.##.#..#####.##.#.###.#.......###.#..###...#.#.#...#.###.##..#######.###.#......####.#.####.##.###.##.######...##..#.#####.#.##.###.##########.##.####.########.....##..#.#.##.#.##.#.####....#.#.#.####.#.#.##.#.......##.##...#..#####.####..#####...........######.#.##########...#.#....#.######.####..###.#.###.#######.##.....#.#.#..#..##.##############..#.#....#.#.##.#.#..####.......###.##.###.##.#......###.###.####...#.#......#.####.###.#.#####.########.####.#.#####....#..#.##.....#...##.#####.#
#..#.##..#.##.#.#.......##.###.##......#.#.....#..####....##..#.##.#..#.#.###..#..##.###.##.....####.#.##..##.##.##...##.##...##....#.###.#...####.##########.###..#..#.....######.####.....##...#####.###.#.#.#.##.##.#.#.#######.#######.#.#.#.#...###...##....#.#.#####...##.##.......##..........#......##.....#..##.######.#.#.#.......#.#....####.#....##..#.#..#.#.#######..####.#.##.#.#..#.##....##.####.####.###..#####..###...##.##.#.#.##.##.#.#..#.#.##.#.#..#......######.#####.....##.##.....#...#.#.....##.#.####....#.#.##.##.##.######.#......#.#....######...###..##..#...##.#.#......###.#.###.#.#.#.##.##...#####..##.##.##########.#.##.#########..#
##....#.##.##...###.######......##.#####.###.###.##..##.#####.#.##.#.##.....##...##...##..##.####.#..#.###.....#..##.##..###.##..########...#..##....#..##.##...##.#.##.######.##....##.######.####.##.##....#.#.##..#.#.#..##.##....###...........######.###.####....#.#..#.....#.######################.#....#####.#######.##...#...#####.....######..##.###..##...##....#....##..###....#.....##.#..##..#.###....##.....##..###.#.##.##...#.#.###...#.#.#.##.#.##.#.#.##.####....##....###.#.#.......#.###.###...#.###..#.###..####.#.##....##..##.##.#.######.#.#####..#..###.##.###.##.##..#.#.#.#.##...#..##.#.#.#.#...#.###...#.##..##.##.##.#.####.##..#.##.#...##
#..####.##..##.####.#.#..#####.###....##..##.#.#..##.#..#.##....#....##.########.###.###.##...###.##.#...#####.##....##.##.#..##.######.##.######.#.##.###.###.##..#.....#.##..##.#####.#.#.#..##...##.###.###.#.##.##.#...###..##.###.##.#######.####.##.#.#.##.####.#.#.#####.##........########...#######.#..##.#....#..#..##.##.###########..#.....##...##.##..####.####.####..##.#.####.#.###....##..####.######..#.#####..##.#.#...#.###.#.#####.#.......................##.#..#.####.#.###############.....#####.#.##.#.##.#..#....#.######..#.##.#.######.#.#.##..##.###..##..##.####..#############.#.###.#.#.#.#.###.....######.###..........##...##........####
##...##..#.##...#.#.#.#.##.#.......####..##......###.##....####.##.####.#.##..##..##...#..##.##.#.##.#.#####.#.##.#####..#...###....#.#.##.#.##.#.####.##..#...##.##.#####.##.##......#.#.#.#.#####.##..##.#.............#.#.##.##......#.....#.####....#.#......###.......##.####.########........###..#########....##...##.##..##........#.#####.#######.##.....##..#.#......###.##.#....#.###.#.########.##.#.#######.###.#.###...##.##.#.#.#.#.#.#.#.###.######.####.##.##############.....#.#.#.###.##...###....##.#..#.#.##...##.##.#.#.##.#.##..#..........#.#..##..#...##.##.##...######......##.##..#.....#........##.###.###......############..###..##.#.#....#
#..#####....###..........#.#.##.##.##.##.#..##.###.#....####....#...##.....#.##..#####.#.##.......##...##.......#.#...#.##.####..####.#....#.##....#.#..##.###.#........##.##.#..######.#.#.#.#.##...##......##########.####.##.#..####...#####.##.#.####.#.######.#.###.###...#.#.##.###.#.###.##.#.#.##.#.##....#.##..#.....##..#.########.#.#.#...##.#.....#######.#.#.###.##.#.##.#.####.###.....#.#.##..#.......#####...#.#.#.####.#..#.........#...##########...##..#..#####.##.##.##.##............##.##.##.###..##......##.##...###...##.#.#..##.##########.#.##..##.####.#..#..#...#.##.######...##.#.#####.######......###.####.###..#.#...####..##.##..#.#.##.#
##...#.##.#########.###.##.###...###..##.#.######....####..####.##.####.####.###.##.##....#.##########..#######...#.###.##......##....#.####..#.####.#.##..##..##.#######..##...###..##...#.#.#..##.##..########.....####.##.##...##.####.##.#...#............#.##.#..##.....###..............###............##.###..####.#.####.##.#.##...#...#.##.##..##.####.#..#......#####.........##...#.#.#####.#.##.##.#####.#.##..###.#.#.##.....##.#######...#..........#.###..###.#.##..#..##.##.###############..##.####...##..#######....#..##.###......##.......#.#.#.#..##.##.#....##...######.##..#..#..###..#.#..#...#.#.####.#..##..##....##.....###..####...##.###.####
#..#...##.###...###.#.####..###.##...##.....#...####..##..##........##.....#.#...##.###.#...#...#.#..##..#.##.###....#.....###.######.#.##.##....###.#.##.####..........##..##.##.##..##.##.#.#.##..###.#.##.#...#.#.#.#..##..#.###....####....#...#####.#.####..#.#.####.####.#.#########.##...##.#.#.#.#.#..#...##..#######.#..........#.#.###.##....##.....#...##.##.#....#######.##....#.#.....................###..##...#.#.#..##.##.#........#.#.#.##########..#####.###.##.##.###.........###......##..#...#..####.####.#.#.#####..#..##.###.####.####.#.#.....##.......#.####.##.###...#.##.##.##.##.#...##.###.#..#.#######.###.##....##.##.#.#######..#.##.....#
##.#####..#.###.#.#.#..#.#.##....###.##.#####.#####..####..#######.##..#####.###.##.#.####.##.###...####...##.##..####.#####.######.#.#.##..#.####.....#..#....###.#######.##.....###.......#.#.###.#.#......#.#######.##..##.#.###.####.##.####.#.....#####.###.#.#...#####.#.#.##.###########################.#######.##.#..##.###########.#.#..##.####.#####.###...#.####..##.#.#.#########.##.##.####.#.##.#.#####.##..###.....###.####.####.#######.....##...#.##.##..##..#...#.##..#.##.####.#.######..##.###.##.#...#.#.#...#..#####.##..#.###.......#.#.#.#####..#########....##...###...##.##.##.##.#.####.###.#.##.##.##.#.....###########.......#.##.#..##.####
#...##.##...##..#.#...##....##.#..#........##.#.#.##......##........##.##.##..#..##.#.##...#....#.###..##.##..##.####..###....#.##..#.#..##...##.#.#####.##.######..##.##..##.#####.#.##.####.#.#.#.....##.###.....##..###..#.....#....#.##....###.######.##.#.#.#.#.###.#.#.#.#..............##...####.#...##..#.#.###..#.#.##........##.##.#.#.###..#.#..#.#...##.############.#.....#.##.#..#####..##########.#.#.#.##.##.#.#####...........#......##.#.####.#####...##..##.#.###.#..##..#####.........##.##.#.#..#.#.###.#.#.###.##.#.#.#..##..##.#######.#....##.##.###...######....####..###...#.##.##.#................#......#####.#.........#######..#.#.##....##
###..#.#..#####.....###..##.##.##...#.#.####.......######.#####.###.##..#..##.##......###.##.####...##....#..##..##.#.##.#.####..#.##.##....#.........##.#....#..####..##.##....#.#.#.######......#.#####...##.#####..##...##.#####.####.#..######....##..##.#.#.#...............################.##.#....#####.......##.#.#..#.####.####..#.#.#.#.#.##...##.#.#.......##...###....#####..#...##.#.####..#.##.####.#.#.##....#....##.#########.#.#.#.########.#..#.####.##.###.........####.###.#.###.##.###........##.#..##.#.#.#....#.#.#.##.##.##..#....#####.####....#.#.###.##.#.#.##....##.##.##.##.#....###########.##...######.##....#.#####.........########.#..#
##..##.##.##.#####.##.##.#..####..#####....#.#.#####.......#..###.#.##.##.##..#######..##.##...#..#######.#.##..###...##.#.##.#.##.##..#.######.#######..#.####.#####.##...##.###...#...##...######..#####.##.....###..###......#.#..#.#.##.#.#..##.#.##.##........#.#.##.########...........##........##.#.#.#.########.....##...#####.#.##...#.#.#.#..#......#.#.#######.##.####.###.#.##.####.#..####.#..#..##..#.#.##.####.#####........########.##..##.....##..###.##.##..##.#.#.#######.......###..#.##.####.###.#.###.....#.####.#.#........##...####.#...##...####.#...#.#....######.##..##....#....#.##....#....#..##.##.........#.##....##.####.##.....##...##.#
#..##......#.#.##..##..####.#.#..###.#######.#.#.#.##.#.##.#.###....##.#..##.##.#.#.##..#..#.###.##..##.#.#..##...##.###.#..#.......##........#.#.....##.#.##.#.##.....##.##..##..###.#####.####.##.##...#####.####.##..##.#.##.....##.#.#......########.#..######.#.#..#..........#.###.##.#####.#.#.#####.#...#.##.##..#####..###.#.#.#..##.##.......###.##.#########.##..#.#.#..#.#.............##.##.#.##.##..##.#.##......#.##..###.####.#.#.##.##.#####.####.##.#....##.############.#..############.##.##.###.#.#.#.##.####...##.....###.####..#.##...#.#..###....#.#.###.##.####.#.#.#..##..####.#.##..##.###.#####..#....#.##.######..#.##.....#.##########.###.#
##.####.####.#....####..##....##.......###.###.#.#.#######.#.#.####.##.#.##..##.#.#.###.##.#.#.#....##......###.####.....##...########.###########.##.#.........##.##.###.###..##..#...#.#...#.#.#.....#.##.##.##.#.#..###.####.#####..#.#.######...##...##..##.######.###.#.################.##..#####..##.###....#.#..##.#.##.#.#.#.#.#.###..#.##.##...####..##.##..#.##.##...##.#.#.#########.#....##....#..##.##.#....####......##.#...........####..##....#.#.##.##.####....###...##..##.....###.#.##........##.#.#.#.##.##.#.####.###.#####....####..######..#..####.......#...........#.##..###.#.#######...#......######.##.##....######.###.#.##....###.#.###.###
#..#.#..#.#..####..#.#.######....#######....##...#..##.##..#.#...##..#...##.##..#....##.##.#.#...#.######.#..#....#..######.###.#....#....###..##...####.#.####.##..###....#..###.##.###.#.###.#...#######..#...#.#...###...#.###...##...#.#.####.######.##.##.......#.#...#........##.##..##.###..#.###..#.##..##...#.##..#.##.#.#.#.......#.##.##########.####...##.#.#...#.###..........#..##########.##.#.##..##.#.########.#.#....###.##########.##....####.#.#..#...#.#.##..#..#####..#.#####...#.######.####....#.#..#.#....###..#.###..####.##..#.##..####.#.#####.#####...#.###.###....##.#.#.#.###.#.###...#.######.#########.#......###.#####..####.#...##..###
##...##...#.##.###...#.##..####.##.....##.#..##.##.##..###.#.###.###...####.###.###.###..#.....#####.#..####...##.#.##..#.#.....#.####.##.....#####..#.###.##.#####.#####.##.##....#.#.#.#..##...#....#.###.##.##...###...###..#..####.###......#....##..##.##.#############.#.#.#.##...##..#..##.##.#.#.##.##.##..###.#..##.##...#.#.#######......#.............####.#.#.###.####.##.##.###.##.#.##..#..####.##.##..#..###...#.#.#.##...#.....####.#.##.####..#.#.##.##.##.#.#####.##..###.#.#.###.###..#.##..##.#.####...##.#.####.##...####..##.....##..##..##..#.....#.#...###.#...#.####.#..............#.##..#.#..........#.###.######.#####....##.##..#.#.####.##.#
##.####.###..#.#.##.##.###...##.##.#########.##.##..##..##.#.###..###.##.#...##...#...##...#.#...##..##.##.##.#####.#..##.#.#####......##.#.###.##..##.##..#....##....##..##..##.###.....##..##.#####...#.#..#..#.###.#.######.#.##.#..#.#.#.####.####..##...#........##.#####.######.#..#.##.##.......#....##..####...#.##...##.##...........#.####.####.#########.................#.####.#.#.....#.##.##.##..#..##.#.##.##.######..#.#.#.#####....#.#.....##.#.#.#...#.##.#...##...##...#..........#..##.###.##.#.##...###....#.......#...###.#..###.###..#.####.#.###.....#.######.##...####.#.############.##.#############...#.......######.#.#########......#.#....#
#...#.#..###.#.#.##.##.#.###.#.......#..####.##.###....##..#.#.#.##.#.##.#.######.#.####.#########..##...#.#..##.#..#.###.........##.#..######.....##..##.##.####..####..###.##..##..#######.##.##..#####.##...##.##......#.#.........##.#.###.##..##..###.###.########..#...####.#.#.####.#...#####.###.#####.##..###....#.###.....#.#.#.##.##........##......##.####.#######.#.#.####.#......#.###..#.##.###.##.#............#.##.####.#.##....####.##.#####.....##.##.##.#.######..##.##.#.#.######.##...##.##.#..##.##.##.###.##.########.#...##.###.##.#..##.....##.##.####...######.##.##.#...................#.#.#.#########.###.#...##.#.#....#..##..##.#.....#.##
#.###.#.##...#.#.##....#.##..#.#######.##.#..##..##.######.#.#.........#...#...##.#..##..........##..#.#.#.##....##.#..#..###.#.##########.#.#.###....###.#...#.#.###.#.##.#..##..##..#.#.##.##..##....##..###....##.######...####.#####........#.####.....#......#.#.##.#.####.#.....##.#.#.###.##..##....##...#.##.#.####.##..##.##.###########.##.#####.#.#..#.#.#...###.#########...#.#########..##..#..##.#....#.##########.####.########.###.##.##...##..######...........#.###.....#.#####.##.#.##.####.##...##..##..#..##.####.#.#......#.##..##......####.##..#..#..##..#.#.#.####...#####.#.#.######.##.#..................######..#.#...##...##..##..##.#######
#..#..#..#.###....#.##...###...#.#.#.#....##.##.##..#.###....##.###.##.###.#.####.##.##.###.#######.####.#.#..####..#.##.##.###..#....##.#......####.##.#...###.#.#.#.#.##.#.####....##.#.##..#.##..#####.##.#.#####..#######....#.#.#...########.##...#.#...#.####.#.##....##..#.###..#.#.#..#...##..#.#######....#.#.##.#....#####............#..#####.#####.##.#.###.#.#.#.#.#.#.##.##.#.....#.#.##..##.##....#.#####.#...##...##....#.#.#..#.#..#..##.####.##.#.##.######.###..##.#.#.....###.##...##..##...##.####..#.##.###...##.#...####.#....###.##.###.....#.##.#####..####.#...#..###...#.#.#......###..#.###.#.#.##.#.#.###.#.#####.#.######....###.#######.#.#
##.#.##.##..###.########..#..#.........####..#..##.##..#..#########.#.........##..##.#..#.###...##..#.#..#...###.##.#.##.#....##...#####.#.######.#####.#.####..#.#.#.#.##.....###.###.....##....##..##.#.##.#..##...##...##..#.####...#......##...##.######.#.#..#......##..#.####.#.##.....##.####.##.###..###.#..........#.###.################.....#.##.##.##.#.##..................#.#.#####.#..##.##.##.####.........#....#....####.#.#.##.##.#.##...##...#........#######..##..###.#.###.#....#####..###.......##........#.###..#.#....########.###......##.#######.#.##.#.#....###.##.##.###########...#.##...#####..#####...................#######.####.#..#...#
#..#.#...##..#...#..##.##...####.#######..##.#.###..##.##..#.#.##.####.#.#.##..##.#..##....##.#####.#.##...###...##....#...##..#####..#....#...#....#.#.#..#.##.#.#.#...####.###.....##.####..#.###.###.#.##.#.#####....#####.######.###########.####...#.####...##.########....##.......#.#..#..##..#....##..####.###.##.#####....#.......###.#.#####.......#.#..#..###.#####.########.......#.#.#.##.....##....####.#.#.############.#.................####.###.########.......###.########.#...#########...##.#######.####.#.....##...#.####..#####..###.#.###..#.#.##....##...##.###.......#.#.#.#.###.###.###..#..#..####..#######.###.#.#.####.....###..#.....##.###
##.....#####.###...##..####..#####.#.##..##........##..#..##.#.##...##########..#.#.###.####..#.#.#....###...##.####.#.#.#########.##.#.####.###.####...#.##.##.......###.#..#.###.###....##.##...#.#.#.#..#....##.#.####..#...#.#....#.##.#.#.#.#.#..###...##.#.......###.###.####.##.#.######.##..##.######..##...#####....#..####.#####........#.#############.#.####.#.######.#############.#....#.#####..###########..#####.###.#.#.###.##.#.##.######.#......#.##.###.#######..##..#.##.#.###..#.##.#.###..###.#.#....#.#.##.##..######.##.....#.##...#.######....##.###..###......#.#.#.........#....######.#####.###.##...#.###...########.#######.##.#.#####..#.#
#..#.####.#..#.#.#####...##.##..##....#.######.#######.#.###.#....###.#...#.###...#.#.#....#.##.#.####.....###...##..###.#.#.#.#.#.#......##..##..#.##.##.##.####.###.##..##...###...#.########.#.#.....##.#.#####......##...#.....#.##..........#.#.###..#######.#.#.##.#..##.#.##..#######..#.###......##...##..#.....#.####.##.....#########.###...##..##.##.#.#..#.#......#........#....#.....##.#...##..###.....#.###.............#.########.#..#.##.#...####.#.##..#........##..#.##.##.#.####...##.#.#.##...#.#.#.#############..#...#..#.#####.###.####.#..##.####...##.#.##.###########.#.#.#...#.##.##.###.###..#..##.###...########.#.#..#..##..##.........##.#
#.######..##.#....#..###.##..#.##..####..#.#.....#.#.#.#..#..#.#####..###...#...#.....#.####.#....##.####.###..#####.##..#.........#.######..##..##.##.##..#..##..#######..#.###...###.#.#.##.#.###.######.#.#.#.##.######.#######.#....##.#.#.#.........###....#.###..#.#.#####.#..####...##....##.#########.##.##########.......#.#.........###...#####..#.##.#...##...######.########.####.###..###.#.###.##..##.##.#.######.#.##.#......#.######.#.#..##.##.####.##.##.#########.##.#.....#...#..###....#....###.#.#..#######.##.#.##.###.##..#.##.#.#..###.#.##..##.#.####............##..#.#.#.##.##........##...#.##.###.....#######.#..#.#.##.####....##.####....#
#.#....##.##.#.##...##.#....##..##..###.##.####.##.#.#...##.##.###.##..####.#########.....##...####..###....#.###.##..#.##.######.##...#.##.###.###.##..##...##..##.##..##.#.#####..##.#...##....#.....##..#...........##.....#.####.#.#########.#.#######.#.########.##......##.##....###..#.#####....###.#.......##.#######.##.##################..#.##.##..#.#.#.####...#.......#.#.#.#.##.####..##.###.#....#####.....#.#.########.####.....######.#.##......###.#......##.#.##...#...#.###.###.##.###.##.##.........##.#.#.#..#.#.........##..........##......##.##.#.###..####.##.##....####.#..#####.#.#.#....#..........#####.#...#.##......#..#.#.###############
#.#.####..##.#..#.#.#..##.#..#.####...#....##.#.##...###.##..#...#.#..##.....#.#.#.#..######.####.##...####...##...#.##.........#####.##.##.##..#.#.##.##..###..##...##.##.#.#.##..##..#.#######...###.#..##.###.#######..#####...##.###...##.##.#...............##.####.######.....##.#...##.......####.#.####.####....#.##...#..##.##.##.......##.##..#..##.#.#.###.#..###.#######.#.#.........####...##.#.##.....##.####....#.#..########.####.#.#.....##.#####.#...#.##......##.###.###.###.........##.....##.####.#..........##...#######.#..#############.#####.#......##....######..##..##########.#.#.#.#.#.###.#####.#.........###.#..#.#.##.##.#.##.#.#....##..#
#....#.##..#.#.#######.#####...#.#..###.####..#.##.###.#.##.##.###.##..#####.#.#.#...##.##.........###..#.###.####....##.######..#.#..##.....##...........#####.####..#.##.#.#.##.###.##.#..##...#...#.##.##...##########...#.#.#..####..#....##.#.#.##.#####.#####.##...#....##.#####...####.#######.#.....##.......####..#.######...#....###.###.....##.##..#....##.#.##.#..###.##.#...#.##.#####.##.##..#..#.#.###....###.###...##..#...#.#.##...#.##.##...##.#.#.#######.#####..##...####.#.###########.##..#....######.##.##....#....##.####.##...####.##...##.....######..##..#...########........#.#######.#.#.#.....###.###.#.###.....##.#................####..##
#.####..##.......#.##....##..#.#.#.###...#.##.#....##....#..##.#.#.##.###.##...#.###.#...###.##########...#.#..##..####......#####.##.#..##.##..###.########.#...##..##.#....#.##..........####.##.#####.....#####.....##.###...##..#.#.###.##########......###.#.#.####.#.#####.#.#.######....##.###.#.#####..########.##...##.#...###.####.####..#####...##...#####.#....#.##.#..#.#.########.#.#..#.###.#.####...##.###....#..#.#..##.#####..###....#.####.........#.##.######..###.#...##.#.##.#.#..##...#.###.#..#...#..######.##.#.##...##.....#.......##.######.###.##..####...#......##..##.#.#.#..#.#.####.#...#.#..########.#.#.######.#.########.#.######...###
#..##..##..#######..##.#######.#...#.###...##.##.#.#..####.##....#.##..#...###...#.#.#.###...#.#.#.#.####.#.##..#.##....######.#.#....#.#######...####..##.#.###..##.##.##.###.###.#########.##.####.##..##.##...##.####......#..##.......#####.##...####.####......#.#..#.#.#........##..###.##......#..#..##.#.#.#.#.....#......###.........##..####.##.##..#####.#.#.####......##.#......##..#.#.##.#.#.#.#.######..#.##.###.####.###.#.##..##.###.####..#.##.##.#....#.##...##.....######.#.#......##..#.##########.#######.##..####..##.###.##.#####.####....##.#......#.###.##.###.######.#########.##....######.#####....#.##...........#.####.#..######.##.##.##.#
##..#.##..##.....##.##.#.####....###.....###...#.####.##.#.#..##.#..##.###...###.........##.##.#.#.#.#.......##....#.#####.#.#.#.##.#....#.####.###..##....#...##.......##...#.#.#..##...##..#...##.....#######.##...#.##.#.########.##.####....###.##..#.##...#.####.##.......##.#####..##.#.##.######.##.##..........#.#.##.#.#..###.##.######.###...##..##..##.#.#.#.#.#..####.##...#.######.#.#.##.#.....#..##..##.#..........##.#.#....#.##..###...###.#..#..####.###.##.#####.####..##..#.#.#.#.##..##....#.##..#....##...###..####.##.##..####.######.##.####.###.####.#.#..#.#.#..###.#.##.#.#.#...#.####.##.###...##.###..##.##.#.#######......##.#.#......#.#..#
###.#.#..#####.###..#..#..#.####.#.#.#.###.##.##.##.#..#.#.#.#####.##..###.########.##.###...#...#.#.######.##..##...........#....#.##.#....##..#.##..##.###.#####.#.#####.###.#.#.##..#####.##.####.####.###.#....###.#..#...####.#######.#.##..#.....##.##.#####....##.####.######..##.#....##....##..#..#..###.########..########.#..#..#.#.......#.#..####..#.#.........########.#.###..##..#.#..#.##.##...###.##....##.#.##.###.....####..##.#...###.....######.###.#.......##....##.###.#.#.######.####.###..##.#.##..##.##.####.####...##...#.....#.#.#.....#.#.#..........####.##................###..........#..###......#####..#....#.###.###....#.#.######.#.##
#.....#.###.##...##.#.##.##..##......#####....##.##.##.#.#.#..#.#...#.##.#...#.#..#.########.#.###.#.#.##.#.#..#####.#.##.#.##.######..#.######....#.###.#....##...#.#..#...#.......##....##..#..##...###.#.#.##.###.#...####.#......#........##...#.######..##.##.#####...####.##...###.#.##....####..##.##.######################....#####.#.###.#.###.##..#.##.#.###.#.#......##..#.....##..##...##.#...##.###..#..############.#.#####..#.##....#...###.###.#.....#....##.#.##..#.###..#....#.##.##...#.###.#.###...######......##.#.###.###.#.#.###.#.#.#.#####.....###.##.###.##.##.#####.########.....##.#.#####.######.####...##.######.#.#.#.######.#.#.##......#
#.###.#...#.##.###....##.##.##..#.####...####.#..#..##.....#.##.##.##.#....###.##.....##.##..#.#.#.#.#.##...##..#..###########...#.#..##..##.####.##.##....######.#####.###.#.###.###..######.##....###.#.#.#.##.......#...####.####...#.#.##..#.#######.###.#...#..#.#..###.#..##.####..#.#####......###.#............#.##.#.#.#.##.###..##.#..#######...##.#.##.....###.##.#######.#.#.#####.#..###....###....##...###.#.#.#...#.#.#.#.#.##.#..########.#.......#####.##########.####.##...#.##.....###.#..##.#.##..#.#.#.#..###.###.#..##.#.#.###.###.#.#.#...##..###..#######.......###...####.#####.##.#####...........##......########.##.........###.........###.##
###.#.#.###.#..#.##.###..##.#####.##.##.##.##.##.#.#######.#....##.#..###.##...###.####..###.#.........##.#....##.###.#.##.#.##.##...######..#.#..##..#.##..#.##..#.##..#.#.....######.#.#.#..##.##.##....#.#....##.##.#.#...#.....#.#.#.####.########.#..##.#.#...##.##...#.#.##..###..##....#####.####....#####.##.#.................#.###.##...#.#.##.##....#..#.########....#.#..#######.....###..##.####.###..####....#...###.#...#.#.#....##...#......##.####.##..##.#.#.#.#.#.##.#..#.#.##.#####.#...###......####...##.#.####....##..#.#..##...#.#.....#####.#.####.......#.#######.#####......#.##.....###############.###..##.##.#....###.#.###...##.##.#.###..#
#........#..##.#.##...##.....#.#..##....##..#.##.#.#.#.#.#...####..#.##....###.#.....#..##.#...###############..#.#.#.#.........##.#.....##.##.##.#..##..####..##.#..##.#...#.#..#..##...#.#.##..##....####.#.#.######.#.#.###.############.###.#..#.#.#.##....#####..##.###.#.###.#.##.##.####.###.##.####.....#..###.###########.#####..#.....###....#.#..####.####.#.##.####.#.##....##.#.##.##.#.#####..####..##..#.####.###.#.#.#.......##.#..###.####.##.##.#..#.##..#.#.#......#.#.####.#.....##...###.#.##.#.#.#..###.....#.###.####.....###.#####.#####.#......#.#.####.##...........#.#.##.#######.######.#.###..#.##..###.##.##...######.###.#.#########...####
#######.##.##..#.#..#.#..#####.##..##.#####.#..#...#.#.#...####.##...#####.##..#.#.#...###.###....##.##..#..###.....#.#.#####.#.##.####.##..##.##...###.####..##....##....###.##.#.##..#........####.#........#....#.#########.#.##.###.##..###.##...#.#.##.#####..##.##.......#.#....#.#.........####......#.#.##...#.#...###...#...###.##.###..#..#.##.##.#.##.#.#....#...#####..##.####.####.#....#.###.###.##..#.##.#.##.........#.##.#######.##...##########.#.##.#..##.#.#.######.#.#.#####.####..####....####.....###..###...#.#..####.####.#...##...##.#.#.####........##############......#......##......#.......##.#####.###.....#......#...........#...##.###.#
#..##.#..#..##.#.#.#####..#.#...#.##....#.#.##...###...###....#..##.##......##.#.####.###..##..####...##.##.#...#####.#..##.#####...#.#####.##....###.#....##.###.#..#.###########....##.#.##.#...#####.#.#.#.#.##....#.####.#.......#.....##.#..###.#.#..........##.....##.####.####...#.####.#####...###.####..#.######.##...#.#####.#....####...#####.#.....#.....##.#.###..##.##....#..##.....##...#...#.#.##.##..#.#..#.######.########...##....#....###.##..#..#.##.##......##.#.......##...##.##.##.##.###.#####.##.##..######.##..##.........#####.###.#.....##.#.#.#####.###.#.#.#####.##.##.#.###..######.#######.....##..##.#########.##.###########.######...#
#.##..##.#.##....#...##..##.###....##.###.#..###.#.##.##...####.##...#####.###.####.#...##.###.##.###..#.##.##.####.#.#.###..#.#..#....#.##.#####.#.#.#.#####..####.##.#.#..###.#..################.#.#####.###.##.#.##..#.#.#.#####...#####....##.......#####.#.####.#########...#.#.###....#.##.#..#..##...###.#....#.#.##.#######.#.##.###..##.##.#...#.#####.########...##..#.###.###.####.#########.###.#.##.#..##.#.##.##.#.###.##.##..#....#.####.##.#.###.#.##.##.#..######....##.##.##.#.##..................###.....##.###..##.###.#.#.###..##.....#...#.########.........#.........#.##########..##...##.#.#.#...#.###..###.#.##.#######.#.#.####..#.....#..###
#.###.#....##.##...###..##....##.####.#.#.#.##...#.....###..#....##.##..##.##...##....###...##..#.#.#.##..#.#..##.#.....#.#.##.#.#######....#.#.#........##.#.##.#...#.....##.#.#.###.#.#.#.###...........#...###..#..##.#.........##.#####..######.##.###...#####.#......##..#.#.......#.#######...###..##.##.#####.##.......#.##.#.#.#..###.#####..###.....##....#...##.###..##.#.#......##...#.#.#.##..#..#.#..#.###............##..#.##.##.#.####.####....#.#.#....#....##..#.#.#############..###.####.####.#.##...##.##..#.....##..##..########....#.#...#.#..#.###############.#####.#.#.#.#...##.#######..#...#...#.######..............#.#........##.#.#####.##.#
#..##.##.####.#..###.##....#.##...#.#........###.#.#####...##.####..###.....###..####.#.##.##..##.#.#..##...#.###...#.#.....#.......#######.#.#.#.########....##.##.##.#####......##........#.##.#.#.#.######...##.#.##....###.#.#######..#.##.##.#.##.#####..#.##...##.#.##.#######.####....##.#.######..#....##.######.###.##..#.#.#.##.#.#.##.###...#.#####..####.###..#.##....#...####..###..........##.##.##...#.#.##.##.####..#.##.##.######.#...###.####.#...#.##.######.#........##.##.###..#.....#....######.####.###...#######..##..#.#...##.#.#.#.#.#.####...#.##..............#######.#.####....##.#.##.###.#####...###.######.####...##.#.##.##.......#...#.#
#.##......#.####...#.##.####.#..###.#.########.#.......###..#....##.#.#####...##..##..#.##..#.###...##....###.#.##.######.###.###.#....##...#.#.#....##..###.##...........##.######..########.##.########.#######..#####.#########.....##.#.##..#.#.####.##..##..###.####.##.#.#.#.#......##..#.#....#.##.#.##......#.##...#.#..##.#.#.##........#.###...##.##.####...##.##..##.###.####.#####..#.#.###.##..##.##.###.#.#######..#.##..#.#...#####...###.....##.###.####.##.##....#.######...#.#.##.#.#####.##..#.#.####....########..#..####...#.#################.#.###.##.############....#.#.....#.#.#####.#.##.......####.##.#......#.####.#..#.#########.#####.###.#
#..######....##..###.##.#######...#...##...#.#...##.#.##...##.#####.#..##...#####..##.#..##.#.#.##.##..#.###..#.##.#.#.#####...#####.#.##.#.......#####.##.#..####.###.####..#.##.##.......#..##..#.#.#.........##....##......#.##.#####.....##.#....##.....####...#..######.#...#.###.########...####.######..######.##.#####.##......##.########..#..####....#....###...##..........#...##.#.############.##.#....#.#.#.#.##..######.....###.#.###.####.####....#..##........#.##...###..#.#.#..#...###.#######.#..#.####.#.#....##...##.#..###.##..#.#.#.#.#.#.#.#.....#...#..##.#.#.######.#.#####.....##.......##.#.##.#.......####.#....######..##.#.#...#.#.....#.#
#.##.##.#.#.####...#.##....##.#.###.#####.##...######.###.##....##....#####.#.##..##....##..#.#.....##.###.##.#.#.......##.#.###.#.##########.#####.##..#....##.#....#.#####.#.......#######.####.#.....#.#.##.##..#####.####....#..#.##.###.#..#.#.##..#####.####...##.##.#...###.#....#.....###.#.##.#.#..#####.#.#.....#.#..##.#.####...#.##.###...###.###.##.####.###....#####.####.###...........##.#..##.#.####.#...#..##.#.#.#..##.##.#.#.#.#.#.#.....###.##.###.###.###########.##.###.##...#.#....#..#.#...##.#.#......#.##..###..##.#....##.....#.#.........#.#...#...##.......##.#........##.####..#.########....##.###########.##....#.#####.#.###.....#.#.#.#
#.##......###.##.###.##.####...........##..###.######.#......#.####.#..###....###.#####..##.....#.####..##..#.....#####........#.#..#.#.##.#....##...##.#.####....######..##...#####.##..#.#.###....#.#.###.########.##.....##.#...##.....#####...#.#..##...#.#.#..###..##.#.###.#.##.###.#####.#......#...##.##..#.#.###.....###.###.###.##..#..##.###.#.##......#.#..##.#####..#...##...##.##########..##.#....###....###.##..#...#.######.........#.#.###.##...#.##..#########.####..##.##...##.####.####.##.#.#......##.#########.####.##...##....#.###.#.#####.#.#.##.##.#..##.####......##.###.........#######...##.####...........#..######..##.#...##..##.######.#
#.##.##.#..##....##..##.#.######.#########..##.#.##.####.#########..##..#..##.#......##.##..########.##..##.###.#########.#.##.....##....#...##....###....#####.###...##.#####.....#..#.##....#..#.####.#####.##.##..#..##.#####.#....#.#...#.#.######....###...##...##.##.#.#.#...........##.#.#.####...#..#..##.#.....#.#.#.##...##.#.#..##.#.###.#.#.#..##.#####.#.##..##....##.#..#.####.#..##....##.#..#.####.##.####.....##.###.##.##..#.#######...######.###.##.##.###..#..#..##.......###...##............########......##.#....##.##.#######.#..#........#.#.#.#...#.##....#..###.##..#...#.#.##.##...##....###.......#####.##.##.####.##.##..#.#.###.####.#.#..#
#..#######..####..#.###...#.#.#.........###.##...##..##......####..####.##.######.####...##.#.##.##.....##..#...........##########.#####.###..#.####.####....##..####..#..#.#..##.##.##.#..####.####.####.##..##..##.#.######.##.##.#.#######......##..##..##.#####.##...#.....#.######.##..#.#.#...#########.###.##.########.##.###..#.#.##....#.#.#.#.#.##..##..#.#....##..#.#####.##..#.#.#.##..#####.##........##......#.####.##..##..#.####.##.##.#.#..#...............#.##.##.####.#######..####.#####.#.#####..##.##.#####..#.#####.##...##########.##.#.#.#.#.#######..#.##...#######################.####.#...#######.....##########.#..#..##.#.###.#...##.....##
#.###.##...##.#..##.....###.....#####.###.#.####.##.####.#####.#..##.#.......##......#.####.......#####..##...#.#####.####.#....####.##...##.####..#.#.##.####..##..##...##...##..##.##...##.##.......##...##..##.##......#.#..#########.######.####..####.#....##...###.#.###...####.#######.....#...###.#.#.#.#..#.##....####...##.##.#.#..####...#.#......###.##.#.####..##.##..#.#..##......##.###.#.#..########..##.######.#.###.#..##...##.....#.###.##.#####.#.#.###..........##....##..##........#####.....##..#.##.....##...##..#.#..#..#......##..#.#.#.#.#..##..##.##.##.#.#...#......#.##.#.##.####.#..#.###..###########...#...#.#.##.##.....##...####.###..#
#......###.#....###.#####.#####.#.#.###......#.#..#.#.#......#.#####.####.##########.#.##.#.####.##...#.###.###.....#......#.####.##.####.#..#.###.....##..##..###.###.####.#####..#####.###..##.###.##..####.###....#.##...#.###..#.##..#..##....##.##..#.###.##..####......###......##......##.##.#...........##......####.###.##..##.#.#.###.#.#.....#######...#...##.#.###....####.####.#.###..#.#...##..#..#.#..######.#.......#.#.###.#####.####............###.#########.#.##.#..######.#..#.#.#.##.####.####..##.#..#######.####.....###...#.####..##.#.#####.##..##...#..#.#...#.#.####.#...........##...####.#.##..##.......###.###.......##.#######.###....#.##
######.#.#.##.###.#...#.#.##.........#######.#.#.##.#.##.#.###..##....#.#.#.##.........##.#.##.######.#.##....####.###.##.##..#.#..#.#.#..##.....##.####..####...#.##..#.#......#.###......##......#####..#.#.#.#.########.##.#...##..##.#.##..#####.##.####.#.#..##..##.#.#######.##....########################..#######.#.#.#.##.##......##..####.####.#.#.#.#...#........#.##..##....####.#.##.....####.##.##.##....#.....##.##.#.#......#.#.......########.#.##..........#########.##.##....##.#.#......####.#..##..#.##...##...#.#.#####.#.######...########.####..####.#####.#.#.###.#.####.#############.##.#.....##..#.####.####.#.#.#######.......##.....#######
##.##..#.#.#....#.#.###.#..#.##.#.#.##.####......##.#.##.####..######........#######.#.#..#.#...#.#.#....##.######.#.#..#####.#.#.##...##....#.#.##.#.##.##..#.###..##.#...#.######.#####.##..##.#..#.##.##.#...#......#.####...####.##..#.###.#.##...#..##......####....#.....###..#######.#.#.##...##..##.#.####.#.#..#..#.#....#.####.##..##..##...#.#.......##.###.##.#.##..#.##..####.#.......#.#.##....#.##..#.####.###########...##.#.....#######.##...###..##.####.#.###..#.#.........#.##..#.##.#.#...##.##..##.#..##.##..#.......###.###.##.#.###.##.#.#....##.##.......#.#.#.........##.#........#.#.....#.#######....#.####..........##.#.########.#######.#.#
#...##.....#.####....##...####..#.####.#..######.##...##..#.##....##..##.#.###.##.##.####.#...###...###.##.......#...#######.......##.#####.#######.#..#.###...#.#.###...######.##..#.#....#.########.##......#.#.######..#.#.###.#...##.#..##......#...######.######.#.##.#####.##...#.#.#.#......####.##..#.#.#......##.##.#.##.#..##..#####..####.##.#.####.##....##########.#.##.###.#.###.############.##.###....#.#.......#.##..#..#.#.#.#..........#.######.##....#.#.##..##.###.#.#.#.#..####..###.##.###....###.#.##.....#######.##....##.##.#..........#.####...####.##.#.###.##.##.#..#.#.######.#...#####.##.##...####.##.##.#.#.#####.....##.#.#............#
##.#######....##..#.##..#####..##.###....##.###..#..#####.#.#..###########..##.##.....#.....#..##.#####.##.#####.#.#####..#..#######...##.#.##..##..#.##..####......#..####.#.#..##.#.###.##.....###.....#.##.###..##..##...........####.#.##..#######.###.##.....##..#..#...##..######.#.#.#.######.#...##.#.#.#.#######.##.#..###.##..##.#.##...##.#.......###########.#.########....#.#.##...#.#.#.####......#####.....#.#####.##.###########.#.##.#.#.#...#.########.###..##.##.###.##########.###.##..####.##.#.#........########.#####.####.......##.#.#.#....#.#.###.####..#.##...#..###.##.......######...#.#.#.....#..##...#..#.#########.######...##.#.####.##.#
#...##.#.##.###..##..##..#.#..#####.##.###....##.##...#.#.#...##.#..##..##.###..#####.#.#.######...##.#.##...########..##.##.##..#.#.####.#..##..##.#.#..##.#..######.###.#.#.#.##....##.....#####...#.###.####...##..###.##.#.######..#...##.##.#...###.#.##.##.###.#########..##.##.#..........###...####.#.#.........#..#.#.####..#.##..#.####......########.#.##........##.#.#..####....##.##.#....##..###.##.#...##.######....#..###..#######..#######.###.#.#.######...##..#.......#..##.#.#...#.###..##..##.###.########.#.##...#.##.......###############.#.#.#......###.##..#.#.##.###....###.###.##.##.##.#...#####.###.###.##.##.##...#....#.#.####.###..######
#.###....##.#.##.#####..##.#.##.##...#.#.####.##.###.##.....#..#.#.##..##...#..###......###..#.##.##..#.##.###......#.###..#.##.##.#.#.#....##..###...#.##..##.##.....#.#.#.#......####..#######...#########..###..##.#.#.######.##.##...###.......#####.#..#.#..#.#.#.#.##..##.........##.#######...####.#.....#########.##.#..#.#.##.##.##..##..##.#...#..#.#....####.#.#..#.#.##......####.......####..##.###..##.#####.##.##.###.##.#.##.#.######..#.#...............#.#.###...#.#.#...##..#.#.#####.##.#..##...#........##.#....#....#.##.##.........#.#.#.#####.#.######.#########.##...############..#.#...#.#.####.####.#............###.#.##.#.#........##.##.###
#.#.####......##..##.##..#.#..#.####.#.#..##.....#.#..#.########...###..###.#.##.####.#..##.##.##..##....#...#.###.##...##.#.##.##.#.#.####..#.##.##.##.###.......#.#.....#.#.######.##.##.#.#.#.###.###.###.##.#.##..#.#...#.#...#..###..##.#######.#.#.#.#####.#........#.##..#####.###........##.###.#.##.##.#.#####...##.#.##.#..........####..#.#.#...##.#.####.#..#.##.#.#..##.#####..##.######.##.##...###......##..##.##...........#.#...##.##.#...#.####.#.#.########...#######.#####........##.#####.####...#.#######...#######....#..##.######.....#..#.##.#.##.#....#.#############..#.#...#.#.##.##.##.#..#....##....#############.....###.#.###.####.......#
#...#.###.##.##..###.###.#.##....##....##.#####.##.#.##.##########.#.##.#.....##.#.#####.#..##.##.####.###.###...#####.##.......##.#.#...###.#.##.#...#...###.#######.###.....#.#.##.#.....................#.##.#..#.##.#.###.#.###.##...##...#.#..#.....#.#.#...#.######....##..#.#####..#.##.###...........##.......#.###..#.##.#.###.##.#.##...####.#.#....#.#.#....#######.#.##....##..###..##....##..##.##.##.###..#.##.....###.#######...#.........###.############..#####.##.#.####.#.#.########..#.##...#.#.######....##.##.#.####.######.......##.####.##.#.........##......#.##..##.##.....###.#.##.##.##.#.##.######.###..#.#.#.##.##.####.......#..###.#######
#.###..#####.#..###..#.#......######.###...####.##...##.....#..##....#..#####..#.....##....###..#..##..##..#...####.##..##.######......###.#....#.###.#.####...###.########.#..........##.##.#######.#######.##.##.#.##....##.#......##.###.###...##.#####...###.#...#####.#....##.....##.#.####.##.####.##.###.#######.#.##.#.##.....########..#.#.####.#.####.....##########....##.#####.#.#.###.####..###........###......###..#####..##..####.#.#.####.###...#.#.#..#.##..#........##..........#..##....#.###.#....##..#.###.........####.#.###.#.#..###.##.#....#.###############.#..##..###.####.#.#.##..#..#.........##....##.......#..##..#.####.####.##.#.......#
#.####.#.#.#.##...##.#.#.#.####..###.#.#.###....###.##..#.#.#.######...##..###...#########...#.##.####....##.####.#.#..##....#.#..####.#.#...####.##.....##..#......###..#####.##.#.#.##...#..#....####...##.##.#.......#####...#######.##......#........##.###....#.....########..##########.##.#.....######.###.###.#.#.##.#..#.###....##..####....##########.#####.#.#.##.###.##....##..#........####...#.#.##.#..###.#.#.######.##..###.##.####.#.......#..###.#.#.##..##...####.###..####.#.###.#####.##.#.#.#.#####.#####..#.#####........###.####.##.......#.#####......##.##.#.#.####.#.#.####...#..##.#.##.##########.######.######.##..##.#.#....####....##.####
#.#.##...#.#.##.####.#.#.###..##..#..#.....####......#.######.###.###.###.##.###.#..#.##.#.###.##..#.#.####...#.#...#.####.###.##.#.####.##.##..#.#..#######.########.##.#.##########..########.######..####.#..##.#.#.##.#.#.######..#....#.#.#######.###..#.##.#.#.###.##.##..##...#.##..##..#...#.#.....##..##..........#.##.#..########.##.#..####....##..............##.###.#..#.####...#####.##.#..###.####.##...#####.........##.##.......##.###.#####.##.#......##....#...##...##.#.#######..##....##.#...#..##.....#.#.#####..##.#.###...#....####.##.#.#####....##.###.......#..##.........#.#...##.............##.#.#..##.......#..#.##......##.#.####.########
#...####.#.#..#..##........##..##.##.###.####.###.##....##.#...#...##.##..##.#.#.#.##.#..#...#.##.##........#...#.###.#.#...##.#.....##...#.#..##.##.##.##....#.##.#..##.#..#.#.######.###.##....###.##.##...##.##.#####........#..##...#.######.##..###.##.#.#..###.######.#..##..#....##..##...######.######..#.#####.####.#..#.##.####.#.#....##....#####.##############..#.....#####.###....#####.#.##......#########.##########.#.....################.#.#....#.#######.############......##.##..#.##.#..#.###.###.#.###.#..###..#####..#######.#.......###..##.##.######.##.######.##..#.##.####.##.##..####.#####.##..#.#.####.#.##.#.##.###.########..##..##.#...#
##.##.#..#...##.##..####.#.##.##..##.##....#..###..#.##..#.###.##.##...#.###.#.#.#.#..##...###.##.####.##.#######.##..#.##.###...######.###.##....##..#....##...#....###.#.##.#.#.#.####.#....####.#.#...##.##..##..#.#..#.#.##...###.###.....##....###..##...##..##....##..#.###.########.###.#.....####...###.#.#.#.###..#.##.........#...#.#.##..####.#.#.####.##.###.###.####.##.#.#..##.####.#.#.#.#..##.####.........##.#.#.#####.##......##....###.#.....########.##..#.#...##.##..######.....#####.#.##.###.....###.#.#.##.##....##.##.###.#####.#.#..###...........#......#.#.#....####.......######....####.#####.##.#..#.#.####.#........####..#..####..#...###
#...#.##.###.....##.##.######.#..##...####.#.##...########.##...#..###.#.##..........####.##.#..#.#.##..####.###...##.#.#..#.###....#.#.#.#.#..#####.##.######.##.####......#.........##...######..#...###...##..##.#.#.###########.....#.#####..####.##..###....##########.......#.###.#..#.#.#######..##.##.......#..###...##.#######.#.#####....##..#.#................##.##.#......#.##...###...#.....#####....###.#.####......##.#..#.######..#.##.#...#.#####.##.#.###...#.####..#.####....#####.##..#.#......###..##.#.#.......#.######.#.#.....######..######.#.#####.######.#.#.#######.#.#.#..##.##.######..#.##...#.#.##.#..#.###.#####.##....##.##....##.###.#
###...##...#.#####..#.....##..##..##.###.#....###.#.##.#.#.#..###.##.#.#.###########..##.......##.#.###..#.......#.##.#.#.##..##.####.#.#.#...###.#........#.####.##...##.#...##.#.#.##..###....##.#.###.#.####.##.......##...##.#..#####.#.#...#####..##..#####.#.##.#..##.#####.....#.##........##.#.##...##.######.##.#.#.#...#....#.#.##.#..######.....################..##.#.######..##.##...###.######..##.#######.##.#.####.##...#####...#.#####.#.######.....#.....##.##....##.#.##...####.##...##.#.#.############.#.#.####.#######.#.....#.#.##.#.#.##.##.###....#.....#.#.#......##.##########..........##....##.##.#....#.##.##.....######.###...###.##......#
#...######.#.##.###.#.#######.##.##..##..###.##............##.##..##...#.#..#.###..#.##..#.##.###.#.#.#.##.###.######.#.#.#..##..#.#..#.#.##.##.....########..##...#.###..##.###.#######..##.####....#.#....##...##.####....###..#.########...#.....##..##.#.##.........##.....####.###.##.########..#..##.###...###...#.#.####.##.######.##.##..#.....#.#######.###..#.#.##......####.#.##...#.#####..###.#.##..#.....####.#.#######.#.#.#.##.##...##....##.##..##.##.######....#####.#.##.####...###.##.........................####.#.##..#.#########....####.....##.#.##.###.#.#.#.####.....#.#.#.#.##.#########..#####......##.#.#...##.##...##.#.#.##.###..##.######
###.###.##.......#.......##.#.##.#..##..##......#.###########.##.#####...##...#.##...#..#####.#.#.#.#.#.#...####.##...#.#.##..##.....##.#.#...###.######.##..##..###.#######...#.##.#####..#..#.##.###...#####.###.....##.###.##.........###.####.###..##..#.#..###########.####..####..............##.###..#..###.###......##.......#.#..##.##.##.###.#.............##.#.#..#.##....#.#....###.#.#.#.##.#....##.#.#####.........##.#.###.#.##....####.####.....######...#.#..####.##....##.##.##.##.#..##.###########.#.#.##.#.###..#.#..##.......##.#####..#.#.###########.#####.#....##..#####..............###.#.####...###.##......####.#######.#........##.......#.#
#.#.#.#.###.######.#######.....#...####.###.###.#..##..####...##.##....###..#....###.#.###..###.....#.#.#.###.##.####.#.#.#..##..#.###......###...........##.###.......#.#.#.#.#.....##...##.##.##..#..#####...#.#.##.#####...##.#########.#.#.####.##.##.##.##......###.##...##.###.##.##.######.####.#.#.##.####.#.#.#.#.####.######.##.##.##....#.###########.#.#.##.#.##.#####.#.#.####.###.#.....##.#.#####....##.###.#######.....##.#.##.#####.#......#.####.#.#.###.##..##..##.#.###.#..##.#....##........#.#.########.#.##..##...###.#######...##.#.##......#.##.#.#.#.##....##..#######..###########.##.#......##.##.####.######..#..###..#...#.#.#.###.#######.#
#...#.#.#.#...##.#.#.....#.#.#.#.####.#.#.#...########....#.#..#..####...#.#####.#.#.#...##.##..#####.......#.##..##..#...#.##..####.##.#.#.#.##.##.##.#####.#...##.#.##...###.#.##.#####....#..#..##.##...###......###...###...........##...#.#.##.##..#.#.....##.###.#....####.........###########.#.........#.#.....#####.#......#..##.##.##.####..#......#########....#...##.#####.#..........#.#............##..#.#...........###..........##.....########..#.#.#..##..##..##.##.####....###.#.####..########....#.#.#.#####..###.###.#.#.#.#.#.####.#....#.##...##.#........#.####..###....######..#.####....######........####.....##.##.##.#.#########.#.......#.#
##.##.......###..#.#.#########.#..##......#.####.##..#.######.##.##....#####.#.....#.#.###...##.#...#.#######..##.##.##.###....###...#..#####.#...#..#.........#..#.####.#############....####.##.##...##.##.#.#######..###...##.###########........##.##.#.#########..#.#####...#.###.#####.....##....#.#######.#.#####..##...##.###.##...#.........##.######.##.#.###.###.###...#.##.##.#####.#.###.#.##.###.#####...#.######.##...#.##.###.#....###....##.##.##.#.##..#.##..##...#.##.#.####.#....#.##.......#..####.#.#...###.##....##...#...#..........#.##.######....#####.####..##.#.###.##....##.#.#.##.#####..###.#####..#.##.##.##.....#.#.##.#.###....#####...#
##.########...##.#........#.#....####.###.........##.#.##.##...#.#####...##....###.#.#.##..#.##...###......##.##...#.##.....#.##.###.#.##..#....###.##.###.#.######.##.#.###..#.#.##.####.##.#.......####.#......###.#.##.##.######.#.#.##...#.#######.#............##....##.##.########.#.##.####..####.#..###..#.#.#.##..##.#####.#..#.#.#.#####.#.##.##..#.......#.#..#......#...##.#......#.####..#..#...#####.###........#..###.#.##..#####.#..#######.....#.......##.##.####.##..#.#........##......#####...###.#.#.#.###.#.#..##....#...###.#############........##.....#......#####.#.#....#####......#.###.#.##.#...######.##..###..###......#....#..##..########
#..#.##.##..####.#.###.####.####.##.######.########........###.#.#...##.########.....#.##.######.##.#.###.##...##.##.##.##.#####..#.....##.###.################.######.#.#.#.##...#..##........#.#.#..#.#.#.####........#.#.....##....#..#.#####.#.##..##.#####.#######.###..#....##..##.#..#.#..##..#.####...##........##.......##...####...#####.###...##.#.#.#.###.#.##.###########.#.###.#####.##.##.##.###..#...##.####.###...#.#..##.....######.#.#.#.#####.########.##...#...#.##.#.######..#.#.##.....#.#.#.................####.###.####.......#.##...##.##.########.#####.###.##..#.#.####.#.##.#####.#.#.#.#....###..#.#.##.##...#####.#.#...##...###.##...####
##.#.#...##.#.#..#.#.###.....##..##.##..#..#...##.##.#########...###..#...##.#######.#.##..##...........#####.##..##.##.######.##.###.###..#.#..#.###.##.##.#......##..#......##.##.####.####.#######...#.#...##.########.##.#####.####.##...###.#.##.##......#.###..##.#.##.#.##..#.###...##.#.####....#.#.######.##.#....##.#.#####..##..###...#######..#.#.###.##...............##..#...#...#....#.#######.##...#..########.########..#.##.###.#.#.#.#.#.#.###....###....#.###.###..........#####.#..#.#######...#.########.#.#.##.##...#....#.#####......#.##..#.###..#######.###.#.###.#.#..#.....##..###..#.......##.....##.#.##..##.##...######.###.###....#.###..#
#....###..#.#.#.##....#..#.#..##.##.###.##.#.###..##......##...######...###..#.#.....#..#.###.####.#.#.###.....##.....#...#.#..##.......##.#.##.....#.##.##...####.#..##.######.....##......###.#.#.#.#.....#######..####.#....##..#..#....#.#.#.#..#..##.#######.#.##.........#####.....#........#..#.##.#..#.#.#..######.####.##.###..#.###..#####.#.#.##.#..####..#.#.#.###########...#.#.#...####...##.......#.######...##.###.##.##.#.#....................#.##...####...........##.####.##.######.#.....##..#.#........#####....##.#.#.##......#########..##.#...##...##.#...##.#..##.....##.#####..##.#.##.####.###.#.####....#.###.#..#......#...#...##.#.....#.##
####..##.##........####.#######..##...#.#....###.##..###.####.##.#.####.#.##...#####...##.#.#....#####...####.###.###.#.###.#.#####.#.#.........#####.#...#.####.###.##......####.###..###.##.......#####.#...#.#...##....#.#####.##.##.######.#.#.##.###......##......###.#####.#...#######.######.####..#.##.#...###...#..######.#.#.##.#.#.####.#.#.#..#.#.##.###.#####........##...##################..#.#.#.#####....#....#....#..#####.#.#.##.##.#.##.##.##.########..#######.###.....###.....##..###.#####.#######.#####.##.#.##..###..#.#.#.##.#.#.#.#############.##..#.####...#####.####.##..#.##..........###.###..#.#.####.#.#...###.##########.######.####.##
#.###.##.#####.#####..#...#.##..#####.#.#.####.#.#..#######...#..#.#.#..#.####..##.###........#####.######.....#...####.....#.##..#.#.##.#.#.##..###..###......#..#..#..##.#..##..#.##...#####.#######.######...#.#######.#...##..#........##..#..........##.#.##.####..#######....#.......#.##.#....####.#.##...#.....######.##.#........#.#....#.#.#.#.##.#...........#####.#.#..###....#.#.#.....###.#.####.#.##..#.#.###.###.####.###.####.#..#.#########.......#.##.##.#########...#######.###.###...#...##.......##........#######...##.#.###..#.........##.#.##.##...##.#.##.#.####.#..##.#.##.##..##.##.##.#####..#####.....##.#.#.#######.##....##.....##.......#
#..##.#...#.#.....##.##.###.#..##.###.....####.....##...#.###.##...#.##.#....##.##.#.##.###.######....##.#####.#.###.##.###....##.#.########..##.....##.#.######.##.##.######..##......#######.#.##.......####.##.###..##...#####.#.##########.#.#.#.####..#.###....#####.#.....#.###.#########...####.##......#########..##..##.#####.##.....####.#..........##.####.#.....#.#######..####.#.#.#####.#.#.######..##...#...###.#.#.##........#.#.##........######.#......##.......#####.....#.....###.##.##.#####.####..##.###.#.##.#.#..###..#..#####.#########..#.....#.####.........#.#.##..#.#..#....##...#..#..#..#.##.##..##.##.........#.##....#.##..#####..##.##.#
#.##..##.##.#.#.###..##.#.#.##..#.#.#####......########.#..##....###.##...#####.#....#....#...#..#.####..#.#..............####.#.....#..#..##..#.#####..#.#.#.#.........##..####..##.#.....##.......#.#.#...##........##..###.#.#.#.......##.....#.###########...####.##..#.############...###..###..#..###.#####....####.###.##.#.#.#..#.#.#..###...#.#.#.#.###########.#.##..#.##.##.#.........#..#.#....#...##....####.###.........#.##.#####.##.##.###......#.##.#######.######..#####.##.######...#######.##..###.##....###......##..###.##........##.###.##...#.###..##..#.#######...##.##.#.##.####..####.##...##.##..#.########.###.#......#.##.###....##.##...###
#....##.....###.#.##..#.#.#.##.##.#.##.#..#######.##.##.#.######......###.#.##..####...######...##.#.#..##.####.###.#.#.#.#######.####.##.######.##.###.#.#.#...#.##.##..##..##..#####.######.####.##.####.#####.#.######..##.#.#.#.#########.########..###.####...##..##.#.#.#.##.#.#.###...#.##.##.#.##.#.......#.##.#...##.#..#.#.#.##.#.##...#.#######.#..#.#......#.#######.##.##...#.##.####.##.#.####.#####.#....###...##.###.########.#..#...#...##.#.#.#########.....###.#.##..#####........#####.##...##...#..#.#.####.#.#.####...#..#.#.##.#...........#####.#.###.#######..###.............#.##.###########...##......##......###.#.#.####....###.#######.####
###.##..######.....##.#.#......##.#.##...###.###..##......##.#...#######....###.##.###.....####........##...#.#..##########..##.#...##.##..#.######..##.......############..##..###..#...........#.#####.###.#########..#.###.#.#.#........##...#.##.##.#.#.#.##.#.#..##..#............##..###.##.#.........##########.#.###..##........#.#..#.#.......###.#.##...#.###########..##....#.#..####.#........##.....#.#.#.###..#.########.#.##...#####.####..#########.##..#.#.#........#.##.#.#.##########.#....####.##########..############.#.##.######.####.#######.#..#.#.#.#.##..#.##.#.###.##.####........#.##.###..####.######..#.#####..#####..####.#####.#######..#
#.#.##.##....####.###.#.#.######.....###.#.....##....####.##.###..#.##...##.#.#.#..#...###..###############.#.#.##.#.#.#.###..#.#.###...#.##.#.##...##..#.#.#....#.##..#.##.#..##.#.###.############.#.#.###.#..#.#..##...##......#.##########.##.##..#.#.#.#..#.####..##.#.############..##....#.#.###.#.#####...##.#.....##....###.#.#######.#.##.##...###.##.######.##..##.##.##.##########.....###.####..#.#.#.###..#..##.......##.#....####..###.######.#.......##.#.###.########.#.............#.#...#####.#######.#.##.###.#.#.##..#.###....#.#.....#.........#.##.....#..#.##.##.#.#####...########.#........##.##..........##.....##.......##.####.###...##.##.##
#.#..#..##.####.#.#.#.#.....##.#.#####.#...#####..#####.####.##..##..######.#...##.##.#####.#..##.##.##.#.......#.........##.##.#..####....#.#..###..##.######.###.###....#.##......#.#####.#####.##...........##.#.#####.##.####......#.#.##...#....##.#.#.##....##..##.........#....##.####.#...#.###.#..#..##.###...#########.#######.#...#.#..#.####.##......#.##..#..###.##.##.....#......##.####......#############.#########....#.#####.##..##..###.....#######..#..##.######.....#.#.#.#.#####...#.....#.###.#.#......##.........##...######.#.######.#.#.##.#..##.####.##..#.#........#.#........#.#.#.####.....##.##.###.####.######.#.####...##......###......#
#.##.#.##...##........#.######.#...##..##.#######..##.#..##...##.##.##..##..###.##.#......#.#.##...#.##.#.#####...#.##.####..#..##..##..##.....##...###....#.####..#.#.#.##.##.#.####..##............####.#.##.##.#.##.##.#.....#.#.##...#..##.##.#####.#....##.#####....##.##.###.####...##..#####.#.####...##...#..#####.#.##.......##.#.##########.#####.##.###..#.##.##.#.#...#.#####.###.##.....##.###..##.#.#..##.....##....######.###.#..#.###.##.#.#######...##.#.#####......#####.#.###....#..#.#.#####.#.....#.##.#....#.#######..###.##.........##.#########..#.##...##.##.#.###.#.##.#.#.#.#.####.#....##.##.....#.#####.##..#..####.#.##.###..#.##.....######
#.##...####.###.#.#####.#..##..##.###.##.......##.##....#####.##..#.##.##..##...##...########.#..###..........#.#.######..##...##..###.###.########..#..#.##..#...##.###.......#....#.##..#.#####.##..###.#..###.....#..#.#.##############.##..##.####....##.......##.#######..#.#.#.##.###..###.......##..#.#..#...####.#.#..##.####.........#.#.###...#.#.##.....##.##..#.#...#..........##..###.#.#########..#.##.###.####..#.##....#...#...##.##........#.##.##.##..#.##.#..##.###.#####..##.##...####...##....#.#....#.########.##.#######..##.##.###..####...#####....##.###..#.#.#.##############..#####.##.######.####........##...##.##.......#..#####.###.#.#.##
#..###.......#..###.#.#.#.###.##..#.#.##.####.###.###.####....###.#..#..##.####..###......##....##.#.#####.#.####.....###..###..##.#.....####.######...######...####..##.#####.##.#.#..#.######.#######.####...#####.#.##...........#.#.##..##....#..###.############.....###.##.....##.#.##.#...#.#.#####.#.##.#####..#.#.#.###.#.###.#.#.#.##.....#.###.######.#.#...##...##.########.##..##..####....#....#.##.#...##.##...#######.##.###.####..##.#.#.#...#..##..##.#.#....###..##...####.#..##.###.######..#.####.#.##......##......#....#.##...#.####.###..###.##..####..#.#.##.......##.##......##.....#..#...#.##....###.##.#.##.#.....#.#.##.##.##.#.#####...#..#
#.##.###.###...###..#.#...#.#.#..##.#.##.##.###.#..##.#..####..##.#.##.##..#.#..##.#.#########.##..#.....############.#.##..#..##..#.#######...##....###...#..#..#.##..#....##..#####.##.#.##....#.##.#....#####..#....##.####.##.###.#..#.##..####.##....#.#....###..#####.###..######...##...#.#.###.#######...##.##...#.#.#.#.....###.#######.#.##......#..######.#####.##.....##.############.#######.####.#....#....#..#.#.#.#.#..#........#.###.###.#.#.#.##..###.....#####..###.###.#####.##...#.#.#.#..#######.####.#.#####.######.##....##.##...####.#.##.#..##....##........##.####.....####..########.#.#....#.##...######..#.#.#.########.............###...##
#..#..########...##.#...###.#.##.#..#........##.##..#...##.#..##....##..##.#.##.#..#......#.#..###.#.######.#.#.###.###.###.#.####.....##..##.#####.###..###.#####.###...##..##..#.#..##....##.###.##.#.#####..##.###.##...########.....##..##..###..###.##.#.####.##.##.##..#..##.##.#.####.#####......#.#.#..#.#..#..###.#...#.##########.#.#..#....##.#...##.#.##..##.#.##.#####.......###.##.....##...##.#...#.##.####.####.#.#.#.##.####.###.#.....#.###....##.#...#######.####.#...#.#.#######.##.#.#...###..#.####.#####.#.......##..#.####..###.##.##.#.##.##.##.#####.##############.###...######.....#.#.#.##.####.####...#.#########.....#.##.#############.###
##.#.##.#..##..###..#.####..#.##.##...##.#.####.###.#.####.#.##..####..##..#.##.##.#.######...##...#...###...........##.#.#...##...#.#..##.##.#.##..#...##......##..###.########...#.###.#####.###.##....#..##.##..##....###.##..#..#####..####.#.#.##.#.#.....##......#....##.##..#.....##......##.#####.#.#.####.##.####.###.........##.#.#...#####..#####.##....##......##.##..#.#######.#....######.####.#.########.##.#.##.....#.......#.......#.############....#####...#...#....###....#...####..#.#.###.##.#.##....#.##.#.########.####..##..##.##..#.#.##..#.#..#.##.........#.##.....####..##.#..#########.#####.###.#..#####.#.#.....##########.#.##.#.#.####.#
#..#.##.##.###..###....#.##.#..#..###.######..#..##....##..#.##.####..####.#.#...#.#..#.#.###..###...###.#.#####.#####......#####.#######..#.....##...####.#######.##...##.#########..#...##.#......#.####.##..##.#####.####..#.##.##...##..#........#.....#####..#.####.####..#..##.#######.##########.#.#.#.#.#...#..#.#..###.#####.###.....###.#.##.##.####..#####.#.####.....##...........#.##..##...#.#......#.##.....#..#.#.#...########.#.####...###..##.###.#####.###.#.###.#####..####.###.###..........#.#....####.............#.#.#..###########.#.#.##.##.#.##.##.#########....##.##.###.#..##......#.####.#....##.##...........#.#..##..##.#.....#.#.#.#.#..#
#.##..#.##.....##.##.###.##.##.#.##......##..##.###.#.####.#.##.##.##.#.#..#.###...##.......#.##...#...#.......#..##.######.##.##.#####.#.##.#####..#....#.....##...###.##...##.#..##.#.###....######......##.##.....##.##.#.##.#.....#####.#.##.###...##.###..##.####....####.#.###..##.##......#.##.#...#.#...#.###.##.#.##.....#####.#.#####.#....####.#.#..##.#.#.####.##.#####.#.#.###########....###...#.##.#....#.#...##.#####.....#.######.######.#.###.#.....#.#..##.............##.##.#....##.#.#.#.####.#.#####.####.##########.#.#.##..##.###...#.#.##.#...........#####.#..#.##......#####.##.##.#..........##.......######.#.#######..###...###...........##
#..#.##..#####.##..#.#.#.##.#....##.#######.##....#.###.##...#......#...##....####.##.#######.####.##.##.########.#...##.##..#.#...#.#..#.##...##..###.#...########..#.....#......##....#.#.####.#.##.###.###.####.###...#.#..#...#######......###...#.##.##..##...#.#.####....#...##.....#.####...##.###.#.#.###.#.#....#..##.####.##............##..#.#.#.##..#......#.#.#........#######....#.#..##.###.########.###########..#.######...#.#.......#.#.#.##..###.###.#.##..#.#.##.#.##.....#.#.#####.#####..#.........#.#.#..................#.##..#.###.....##.#.##.####.#.......#.######.#.#.#.#.#.##..#.##.#.#.#.#..##.#.##..#...###.....#.##.....#...#.#.#.#.#.#..#
#.##.#..##.#.#..##.#.#.#.##.#.####...##..#...####....##..###.#.###.##.#######.#.#..........##..#.#.#####.#...##.#####.##.##.##.###.....##.##.###..##.#.#.#..#.#.#...##.############..####.#...##....#.#.####...##..#.##.##.##...####.##.##.#.#..##.#.########..##.##........####.#####.####....##.##..##.......##.#.#.####.###.###.....####.####.######.#.#.##.##.######.#.#.###.##.........####.##.####.#.....#.#......##..#.##......#######.#.#######.#.#..##.....###......######..#####.##...#..#........##...#.#.#####.#.#.######.#.#.#.#####.###.#.#.#.###.#.....#########.#.####...##.#######.#.#....##..#######.#.#####.###...#...###.#......###.#.###.############
#.##.##........##......#.##.#..#####..##...###..#.######..##...#.#.##..##.......#.############.....#.#.#...###...#.#...#.#...#.#.#.#####..##.#.##..#.#.####...#.##.##..###.###..#.##........#....####.#..##..#####.#.##.##.##.###..#..#.#..#.##..#######.#.##.###....######..##....##.......########.##..##.##.##.#..............#.###...#####.###.##........#..#..#...........#.##.####.##...##.##...#....#####.#.########.#.##.####......##.....##.##.#.#.######.##.#.#######..######.#...#.#...##.#########.#.#.#................#.#.###....#...##.#.#.#..#####.##........#######...###...#.###......#.####.....#######...#...##.###########.#.#######...####........##
#.#...#.######..#.######.#..#.##.##..##..###.##.....##.##..###...###..#########....###..###.######.......#####.###.###...###.#...#.#.##..##.....#.##.##########.....##.#.#.#...##.##.####.#.#.#.###...#.##..######.#.#..##.#..#.##...##...######..#.##...#.##.#.##.#####..##.##.##..#.#.#.####.#.##...#####..#..#...############....######.#.#..##.#..#####.##.##.##.###.####.##.###########.##...##.##.######.#........##.....#....#########.######.#..#.#.####..............##..#.##..#.#########....##....#.#.#.##.##.##.##.#.####.##########.####.#.#.#.##.#.#..#.#.##.#...#.#.#.###...###..#..########.########.##....###.#.##.........#.#.#..#....#.####...##.#.#..#
#...#####.##...##..#..##...##.##.#..####......##.####...##.##..######..#.##.#####.##.##.....#.#....#.#####.#.#..#..##..###...#.###.#....##..#.#.......##.#..##..#####........###......#.#######.....###..##.#..##..#.#.###.#.##..#.###..###.##...##..#.###.#.....#...#.#.#####...##...#.#.#..#.#..#.####..##.####.#........########...#.##.....###...###.####..##.....##.####..#........#.#####.####.#....##.....########..#.#...#####.........#.#.#.##......##..#.#.#####.#.##..##..#.#####.#......##....#.########...#########.##.#####.##.#....#.#.#.#.#..#.....######..###...........###.##...###...###.....#.##....##########..#.##.#.##.####...##.#..#...####.###.##
###.#.##..####.##.##.####.###.##.##..##..######...#####..#.###.....###.#.##........#..#.#####.####.####.#..#.#.##.##..##.###.#..#....#.####.############...####.#.#.##.##.####...#.##.#.......##.#####..##..#.####...#.#........##.#.##.##...######.##.......#.###.#.....##.##.#####.####.#.##...##.#..##.#...#.#.##.#.###.#......#.###....#.#.#.#.####...####..##.#######..####.#.######.#.##...##....######.####.#.#.#..##.##.#####..#######...#.#.#..####.#..#######.########....##.#.#.#...##.#.##.#.####..###########.#.###.....##....#.#.####...#.....##.##.##########...####.####...#.#..#.....###.#.#####..#.####.##..#.############..##.##.###.#.##.#....########
#...#.###.#.....#.##...#..##...#.##.####.#.#.#..###..###.#..##.##.##.#.#.#########.#.##.#.##..###...#.#.#.##.#..#..##.##.#.#.#.##.####....#..#.####.##.##.###.#.........###..##.##..#...##.#.#####.#.##..##.#.##.#.#.#.#.####.###..........#.#..##..#..###########.###.#.##.#....#.########....###..#.###.###......###..##...##.#.###.#.########......#.###..#.###.....##..###.#######....#.##.###..####...##.##.#.......##..#####..##..#.##.#.###.#.#.###.#.##..##.#.#.#.#.##.#.####..#.#.#.#########.#####..##.#.###.........###.#....####.#.##.###.#.######.####.#.#...#######......###.....#####.###........#.##.......#.##......#.##..##....####.#.####.##.#####..#.#
###.#.#.#.#####.#.#..###.#####.#.##..##......#.##.##..##.##.#...#.#..#.#...##..............##...##.##......#.#.##.##...#.#.#.#.#.....######.##.......#.#..##..#.##.##.#.....##...#.###.########.#.....#.##.....#.###.#....#####...############.##..##.##.##.#.#.....######....#.##....#.##..##.#.##.#.#.#.#...#########..###..#######.#...#.#.#..##.###.#.##....#..#.#..##.#.......#.##.###.##.####.##.#.###.......#########..##.#.##..##..#.####....#.#.#.###..##...........#......##.#.........####.....#..###.#.#...###.##.###########.......#.#.#.#.#...............#.....#.####.#..##.###.....#.#.#.####.###....#.#.#......#.####....##..##....#.####....###.#.##.#.#
#...#.#...###.......##...#.##..#..##..##.#####..#.###.##..#.#.#####.##...#########.#.##########.#.....######.#.##..##.##.#.#.....######..##.#..#######.##..##.#.#####.#.#.#....#########..#.##..##.####.##.#####.##..#.##....###.###.###....#...##..#...........#.#...#.#..#.##....####..##..###..#.#...#.###.#.##.#.###..######.##.#.#.###...#.######..#....####.##.##......#.#.###.#...........#.....#.....#.######.###.######.#.#..##..##.##.####.#......###..##.######.#...##.#.##.#.#######..#.#######.##.......#..##..#......###..#.###.###.#.#.....#.#.#.#####.####.####.#..#.##.##.#########........#.....#.##################.####..###.##....#.#.##..##...#..#.#
###.#.###.#.####.######.##....##.##..##....#...##.#.#..#.##.#.#.##...###..##.#.#.#.#####...##.....#######.##.#.##.##..##.#.##.#######.#.##....##..#....###....#...#.#######.#.##.##.#.#..##..##.#.....#.#.....##..##...#######.#.#.#.....####.####.##.##.###.#######.##...######.#.#.##.####..##.##.#.###...#..........##.................##.##.##.#.##...####.#...#####.#######.....##.###.#.##...#.#...#.######.#.......#.##.#.#...###.##...#..#.#.#.#.####...##.......###.#..#.#.#..........##.#.......#..###.######..#.#####.###.##.#.#.#####.#...##################.#........#####.##.........#.#.#.#.##.############..##.#.....#.#....##.#########.#..#######.#.##.#
#......#....#.#..###.##..####.....##..##.###.####...##.#.##.#.#.##.###.##..#.#...#..##.#.#.######.......#..#.#..#....##..........#....#..#.####..##.####.#.####.###......##.#..#.##.#.#.###.###.#.#####.#.#######.##.###.#####.......##.###.#.###..##.######.###.#.#....#.####.#####....#.#..###.#......###.##.#############.########.#.#..#..........###..##....#..##.###....########....#######.##########......#.###.###........#......##.##.##...#.####.#.#####.###################.#########...#.##.##.##.#...#..##.#..######.#.##......##.#...#........#.##.....#..##.#.#.#...##...###.#.##.####.#.#..######.#.#.#.##......#####...##..#...#.##.#..#.###...##....#.#
######.####...#.##.#..#.##..####.##..##...##....##.##....##...#.#..#.#.#..##.###.##.#..#.###.##.#.###.###.##.#.##.####..######.###.####.##.##.##....##.#.#.##....#..##.#.##.#.##..#.......#.#.#.....##....###.##..#............###.###........#.##.........#.......##.#.#..#.#.##.##.##.#.##.#.#...######.#..........#.#.######.#.###.###.##.##########.#.##..##.##......##.#..###..#..####..#.######.#....##.###....#######.##############..##..##.##.##.#.....##..##......#.##.#.##.#..####.#.###########.##.#.#...########..###...##.####......#.##.##.##......#.#...##..############.##..###....####.##.##.....#........#.#.###.#..#..#.##.###.#..#.##.#.#.#####.###.#
#...##.#..###.#....#.##.#..##..#.#..####.###.#####.####.#####.#.##...#.#.##..##..##.#.##.##..#..#.#####...##.#.....#.#.##.#.##.....#.#..##.##.#..#.##....#....####.#######..#.###.#.###.###...#.##.####.###....##.#.##.#.###.#.################..#.##########.#.#.#######.##...#.....####.##.#.#.###..##....##########......#.#.....#...#........##..##.#.##.##########.###.##...##...##..##.#....##..#.####..####.###.##.#...........#.#.##.#..##......#.#.######.###.######...........##.........#.##.##..##.#.#####..#.#.#.##.##.##.....###.##.#..###...#.#.######.#..##.......###..#.###...##.#...##.##....#####.###.#########..#.########..##.#.##.##.......##...##.#
###.#....####.#.####..#.##..##.#.#.##.##.##....##..#.##...##....#..###.#.###.#..##..#.....##.##.#.....###.##.#.#####.........#.##.##.##..#......##.##.##...##......##.#..######.#.#...###.#.######..#.#.#.##.###.....#.#...###.......#.#...##.##.#.......##########.##.##....###.#####.#..##.#.#...##.##.##########.##.#.##.#...###########.##.#####.##..........#.##.#.##...#.#####.####..#...######....##..##..####...#.#.##.##.#.###.#.##...##..######....#.#.#.##.........##.###.##....##.##.###..#.###.#....###.##................##########.##...##.####.###.#####.##.##.#.##.#.####...######.#..#.#..##.......#######.#.#.##....###.#.#.##.....#.#..#.#.####.###..#
#.#.####.##.#.#...##.##.##.##..#.#.##.......##..##.#.##.#..####.##..##....##.##..##.#.######..#...#.###.#.#......#####.############...##.#.####..###...########.##..#.#.##...##.#...####....#.##...##...#........#.################.##...#..#......#.#####.#.#....#.#...#.##..##.....#.#.##..#.#.###.................#.########..#.#.#...#######.##...##.#.###.###..#.###..######.##..#.#.##.####.##..#####.##..####..###....########.....##.####.##.#.#..#.##.#.#....#.#.##########..#.#.########.#.##.#.#.#.####.#....#.###.##.#.#.#..........#..#.#..#.##........##########.###.......###......####.####..###.#.#.#..##..........####.#.#.#.####.#.....#######.#.....##
#.....##.##.#.#.#.##.##..#..##.#...#..#.#.########.#.#####..#.#..##..##.#.#...##..#.#...#..##.#.#####...#.#.######.#.#..#.##..#.##..#..#.#....##..#..#......###..##......#.####.##.###.#.####.####..##.##.#####.#####.####....#.######.####.#.####.####........##.#...######.###.#####.#..##.#...##..##.#.#####.#.#.##..##..####.#.....###.#......##.##..#.##......##...##..#.##...#.##.#.#...#.#....#####..###....##..#..##..#...#####.###...#.#.##.....####......#.######.###.##.##.#########.##.#.............#...#.######.######.###.###########.##.#..######.###.#.#....#..##.########..#.##....#####..##########.###.######.#..........#..#.#.##.#.#####..#.#.###..#
#####...........####..#.##.##....###.#######...##.....#####...#.####..#.####.##..##...###.##..#.##.####.......##.#.#.#.##.#..##.##.###.....######.#.#####.#...##.###.#.#.#.#.#..#...........#..##..##..#......######...#.##.###.#.##.#.##.###.#.#####...###########.###.##.#.##....###.#.###...#....#####.....###.#....##..##.##...#.###.#...######.....######.###....###..##..#.###.##.....###.#.####.....##...####..##.######.###.##...###.##....#.###...##.######..##............#.##.#.##.#.##.#.#######.#.#...#####.#..#.#.#.##...#...###...#.####.##.#...##.#.......########.#......#.#####.##.....##.....#.#.#.........#####.#.####.#...##...##.###.#.##.#.....####
#.....#.##.#.##..##..##.#...####...#...#.#...#..###.###.#####.#.##.#.##..##..##.##..###.#..##........######.#......#.#.#..##..#......##.#.###.#.#.......###.######...#.#.....##.#.####.##.###.####..##.#.######..#.##.##.##.#.#......#.#...##....##...####..#.##.#.........#..##.###.#.#.##..########.###########.##.###..###.##.######....###..#.##.####....#.#.######.#.####.#..##.##.###.....#.#.##.#.#..###.##.#.##......##.#....###..#..##.####..#######....#.##....#.######.###.......#.#.#........#.######.###......##.#...###.##.#.....#....#.######.#.##...#.#####....##....##.#.#.....#..#########.##.......#########...#.#....#####....#######....##...########
##.##.#.########....##....###.#..###.###...########..##..#.#....##.#.##.####.#..###.##....##..########.#..#.######.....#.##..##.###.#####.......###.#.#####......#.#.#.##.####.....###.#####..##.##.##....#.#.##.#.##..#..#.....######.#.#....#.###.####.##........###.######.#..###.#.#.##.###.####..#.##.#..#.###......##.#.#..##.#.#.##...##.#.#.......####.#..#...#.....##.#.##...#...##.####....#.######......#....#######.#.####.##.#.##...###.##.#.#.#.##....##.###......#.##..#.###.......#.######.....##.....#.#.#####.###.#################..##.#..#..###.#...#.#.####..###########.####.....#.##...#.####.###....###.#######.###..#.#.##..##.#.####..#####....#
#####.###.##.....#####.####.#.#.###......####.##....##..##.#.##.##.#..#.####.##..##.##.##..##.##.#.#.#.##....#.######.##..##.#...####.#####.##.###..###...##.#.#.###.#######.###.###.###.#.##.##.##.#..####...##....##.#.##.#####.###..#.#########..........##.#.###.####...###.##.....#.#...........##.##.#.##...#.#.#.##..#.#.##.......#.#........##.#####.####...###.######...##.###.######..#.##......#.#.######.#####.##.#....#.#.##.#.##.###....#...#....#.#.##....#.###.#####.##...##.#.##.###.#.#..##.####.#.######.##...........#####.######.##....###..##.#.#......#.##......#.#.##....##.####.####.#...##.....##.........#####.#.####....###...#..##.#.#.#.####
#.#.####...##.##...#.#...##.#.....#.####.##.#..####..#.##..###..##.##....##...##..#.##..#.##.........#.##.##.......#####.##..#.###.##....####....##...##.##############..#.#.#.#.#....#.....#.##.##.##..####.##..##.#.........###.#.#.##..#.##.#...#.#.#.##..#.#......#...####..######.....#.##.#######.........###########........#.#.###.##.#####.##.###....##..###.#....#.###.#...##...#.##.##.#########.#...........#...#.##.###.#.#...........#.##.###.#.####..##.###.#####...###..#.##.#..#####.#.#.######.###...#.##.#..####.##.###...............####...###.#.#.##.#...#..###.##.#..#.#.##....##.#.##########.######.########..##....########...#...###........###
#.#....###.#####.###.#.####.##.####....###....##.##.##..##..###.##....######.##..##.#..#####.#.#.#.#...##..##.#.##.#.#.#..##..........####.####.##..#.....#.#.#..#.###..##.#.#.#.#.####.#####.##..#..##....#.###.#####.######.#.#...#.###......#.################.#.###.###..##....###.#.######.....##..###########..#.#..##.####.#################.#....##.#####...#.#.####.#.....#..##.##.##....#.##.#.#....##.#.#.####.#...#...##...#####.#######........##########...#.....#.########.##.##..#...........#.#...#####..#.#.##..#.##..##.#.###.###.###....#####.#####..###.#...##........##.#..#######......##..#.#.....######.##.#.##..####.###..#.#######.#.#.##.#...#
#.#.####...#.#.#..##....##.......#..#####..####..#..###..##.#.#..#.#.####.##..##.##.#.##.##..#########.#..##########...#.###.##########..#..#.########.##.......##.#.##....#.#...........##.#.###.#.###.####.#.#....##.########...###.#.#.#.##...#..#.#.#..#...####.......##.##.####.###......#.#######....##.###.##.#...###.####.#.#.......##....#.#.##......##..###.#..#.#...########........####....#.#.##############.#.###.######..##.........###.##.#....#.....#####.#.#..........####..##...##.###.#.##...######..##......#########.#########..##.#####.#......##...#.#.#..###.###.######.#.##.#..#.##.##.##.##.##........#.....##..#.#.#.##.#....###....#######.##
#.#.#.#..#...#.##.#..##.##.#.#.###.##.#.##.#..##.##.#...##....#.####.#..#.##.##..#..........###.##..#####.##.#.##.###.##.##..##.#######.##.##.##.#.#######.######....#####...###.######.##.....##.#.#.#.#..#...#.####........##.###.#.....#..##.##.##.#.#.##.###.###.#.#####.#...##...##.#########.##...####....#.#....####.....#.....########.######.#########..####.#.##.#.####.#.####.#####.#....##.#......#.#..###....####...####..##..#.#.##.############...#.#.##########.##.##.###..##..##.##....#.####.###.#..##....#.####.##..#.#..##.##..#.#######.#.#.###.##..#.#####.##.#..####...##.#.##.#.#######......#####.##.####.###.#..##.#.#.#..#.####.#.######.#.####
#.....######......#.##########.#.#.##....#.#.##..#..##.######....##..#.##.#...##.#.######.###....##.#.##...#....#.#.#.#...#.##......................#.#.##...#.#####..##.#.####..##...#####.#.###.#.#.....##.###..##..#########.#.#.#.#.####..#....##.........##..#######....#.###..####.#...###....###......##.....##......#.#.#.#.#.###.##.#...#.####.##.#....##............##....#.#...#.####.#######.###.##...##...#.###...#..##..####.######............#.###.#.........##.#..####.##.######.###.#.#..#.#...#.##.#..#.####.....#.##.##.##..#.####.###........###########.#.....##..##..###..#..#.#.#.#..#..#######.########....####.##....#.##.#...#.....###.#.#.##.#
#####...#.###.#.#....##..##.##.#......#.##.#..##.##.##.#...##.######.#..#.##.##..#......#.#...#.###.#..#.###.####.#.#.#.###..#.######################....#####..#.###.##....#.##....#..#.##.####....###.###....#.####.###.##..#.#.#.#.####.##########.#.#.#.#..##..##.#.####.#..#..###.....#..#..####...########.########.###.#########.#.#..#.###..##..##.#.#.######.##.#.##....##.#...#.........##..##..#####.####.#####.#.######..####.......##.##.##.#######.####.############..............###...####.....#........####....#####....#.....##.#.#......#.#.##...##..#..#..##.#.####....###..###.#.......##.##..##.....#..#.#.####.#...##.###.#....#...#.#.....#......#
#...###.#.....####.#####.##.##...#.######....##..##..#.#.###...##.##...##.#...##...#########.#####....##..#....##...#....##.##.#.###.#............###.#.###.#..##..##..##.###.###.######.##..#.##.###.#...##.###.#.#..#.#..##..........##...#..#.###..###.####.#..###.#.#.#..##.#.###..##.#####.###.#.####.########....#########.#.#.#..#.#.##.#.#.##..##....####.##...######.##.##...#############..###.##.##...##.....#.....#.#.##.#.#..#.#.#######.#######.##..#.#.###.....##.##.###########.##..#..##..##########.#...####.#####..####.###......#.########..#.#####.#.##.###.#.##.######.####.#.#.####.##.....###.#####.##...#.##.#.###..#.....#.##.#####.###.#.######
###.##..#####.###..#.##..##.##.######.##..####..####...#..###.##..##.#.##.###..#.#......##.#.#.##..######...#######...#####.#..........#.######.###.#.####....##..##..##...##.#.#.##.##...#.##.##..##.##.##......#.#.##.#.##..#.###.#.###.###.##...##.######.###.##.......##.#....#.##..#.#.###.#.#.#.##.#.#.####.#.####.##.##.#...#...##...........##.#..#.###.#.#..#..#.#.####.##.#..#.####...#.#.##.........#.##.#####.#.###.#.#..#...##.#.......#...#........##.###.#.#####...####........#####.#.####..###.#.###.###..##......##...##.##########.#.#.#..#.#####.#.......#.######...##....##........#####.#####...#..#...###...#..#...##.#.#####.##.....#..##...#....#
#.#..##.#.#####.##.#..##.##.#....##.#.##.##..##.##.###.#.##.#..##.####..#.#.##...#.#.####..#.#..##.##..#..#####..##.####..#...##.#.#.########.####.....##..##..##..#.#####.##...#.....##.##.##....##..##....######.#.........########..........#.###..#.##.#..##.##.#######..###.##.#..##...#.#.#.............##..#......##.##.#.###.###..#########......#####....#.#####.#.##.#######........###....###.##########...###.#.###...##.#.#######.#.##.###...##.#.#.....#.....##.#.#..#.#.#########.####...###.......#.########..###.###.#..........##...#.....##...#.#...#######.##...##.##..#.####.#####..##.#.....##.##.##.###.##.##.##.####.......#.##.#####.##..#...#.##
#.##.##.....##..#..#.##..#....##......##..##.##..#.##..#.##...##....###...#.##.########.##.#...##..###...####.##..#.#..#.##.###########.##.....#...#####..####..##.#.####..####.#.#####......##.#####.##.##....##....##.#.##...#....##.#.###.###.#.##....#...##..#....##..##.###.#....#######.....##.#.####.#..#.##.#######......##..##..###.##.##########.##..##.#.#.##....#..#####.#.#.#.##.....####.....###.##...#.#.#.###.#.###....###.#.######.###.####.#.#.#####.#.#......##..........#......##.###...##.##........####...#.#...####.#######..###.######.###.#.######.#.....###...#.####.##.....##......###........#.#.#.#.........##..###.#.####.#.#.#####.#.######
#.....##.######.##.#.###.#.####..#######.##...##.#..##.#.####..##.###.#.###.##.##.#.#.#.#....#####..##.###....##.##.#.##.##.#.#.#.#.#......#####.####.##.##.#####..#..##..##........##..#######.#..##.....#.##....#.###.#..###...#.############....###.###.#####.#.#####.##..#.#.#.####..#.##.########....###.##.#...#.##...##.#####.##.##.#.##.......####..#.#####.#.#..##...##.##..#.############.##.#####.#....#####.#..##.#.....####.......##.###.###..###.#.......######.####.#.###.##...##.####..####.##.#########.#.###.####.########.#.#.#.###.....#.####....###..#...#####...###.#..#.#..##.##..##.#.####.#.###...#...##.######....######..##.......#.##.#.####.#
#####.##.#.##.#....#.#.#......####..##.#..##.###.#.##..#..##..##..##..#..##.......#.#.#.#.####.#.##..#.#.#.#####..#.#....#............##.####.##..#.#.#...#..#####.#.####.####.######..###.##...#.####.########.###...#.##..##.###.##.####..##..####.#.......#.#......#..###.#.#.....##.##......###..##.#...#.#....###..##.###.#.#.#.#........#.#######..##.#...##......########....##...##................#.#.######...#.##....###...##.#####..........##...#.#.#.#.#....#.####.###########.###....####.#...#.........#.........##.#..................##.##..#.###.##.#.##.###..###.##.#.#.##.##.########..#....###...#.###.####.##..###.#.....#####..#.#.#....###...#..#
#.....#.....#.####.....##.######...##..#.##..##.....##...##..####..##...######.####.#.......##.#.#..##.....##..##.....##...###.#####.###..##...##.#.#.#.###.##..#..#..##...#.#........##.#..###.#..##....#.#..#####.#.#####..###.####..#.##..##..##..#.#####.#...######.##...#.#.###..#.##.##.#...#.#####.###.#.#.####.##..#.###.#.#...#####.##..#.#.##.##..#.####.#.####.###....#####.#....##.#.#.#.#.#####....#...###......##.##..#.##....#####.###.#....#######.###.##....#...##.##..##.###.##.###......#.#.#####.#.#.#.##.#####...#####.##.##.#.#########...##..............##....................#.######.#######.#####.##....##.#.###.#.#...######.###.##..##.#...##
#####.####.##...####.###..####.##.##..##..##.#..##.####.##..##.###..###.#####....##.#####.###..#.#.##..######.##..########...#....####.#.##..####.#.#.#......##.##.#.##..###.#.###.#.###...##.#.##.##.####...####.######.###..#...##..##....##..####......####.####..##..###.......##.......#.###....#.##...###.####....#.##.###.#...#.##.#####.##.#.#...##........#..##......##...#.########..#####.#.......##...#..#..#######..#.##....####..##...#####.##.....#..##########.####....##...#..######.##.#.#.#.....#.#.#.#.##...#...####.############......##.###..######.#####.#..########.##.##.###.#..#...#.#.#.###.###.#..##.#........###.#.###..###...#..####..#.#..#
#.#.....#...##.##.....###......##.###..#.##....#####.#...##.##...##.#....##.#.####..##.#....##.#.#....##..#.#..##....#...######.###.##.#####......#.#...#.#####..#.#.###.........######..####.#.##.#....##.###..#..#.#.#...####.###..##..######..#...######.##....##.#..##.###.##.######.#.####...##....#.#####..#.#.####.#........###.....##.#.##.....#....#.#.#.#####..##.#.######.##.######....#############.######.##.....########.#...##.#####....##..##.#####..###....#.......##..#.###.##.##.########.#.##.##.###.#.##.###.####.....##.#..#.##.####.##...##......##########.##.....#.##.##.#####.##.#####.#.#.###.#.#.###.##.#.#.#########.#.##.#.###.#####.##.####
#.#####.###.##..#.###.#...#.##.##...##....####.##.##.#.###..###.###.###.##..#.#..##.##.#.####..#.#.##.#..##.#.###.####.######.#.........#..#.####.#...#######.##...#..#..######.####..##..##.........####....##.#.##.#.#.###......#.##..##.##...##.###.###...##.###....###.##...###....#.####...#..#.#######..#.##.#........##.##.#####.##....#....##.####.##.#####.##..#####...###.........#######.#.###.#.#.#..#........######...#.###.#.......###.#.#####...##.##.....##.#.#########..............##.#..#.#.##..#.##..#.##..........######.#.##.#.....#.#..###..########...##....#.#####..######..##.#...#.#..#.#..##...#.#.#..#.#.###.#.##..#.#....#...#.....#.##....#
#.#.##..#.#.##.#####....#########.#####.#####..#..##.#.##..##.#.##..##.....##.#.##..........##.....#####.##........##.........##.#.##.#...##.##.###.#..#.##.#..###...##.###.###....##..#.######.######..#.#####............##.###....#.##...###.##.#.#.....####...##.###.#.#..#.##..#.#####.#####.#####..#.##.#.##.#.#####.##...###...######.##.####....##.##..#.#.....###.##.###.#.###.#####.##.#..#.#.......##...######.##.#...#.....####.####...#####.....#.....#.#.####..........###.#############....####.###########.##.#####.##..###..........########.#.##.#...##.###..###.##.#..###..#.##..###.#.###.##.#.#.#####.......##.#..##.#....##.#.#.##.#.##.#########.##
#...###.....##..##.##.#######.##...##....#..##.##.#..#..##..#.#.##.#######.#.....#.##.#######..#####.##.....##.###....###.###########.######.....#..####....##..##.###........#.######....#..##...####.##...#.#.#####.#.#.##....######..#.###....#.....#.####...####.........##....##.#.#...#...######..##.##....#.#.#...##########.#####.......######.##...##.....#####...#####.....####.#....#.#.##.#.##.#.##############....#.##.#.###.....#######.#####.####.########.##.#.#.###...#..##....#.#####.###.##..........##..###...#..#.##.##.##########.#.#.#...##.#.#..#..#..##.#.#..#.##.####..##..#.....##.........##.#.#.#########......####....#..#####...##.#.######
###.#.#.###..#.##..##.....#.#..###..##.###.##..##...##.###.##...##.##.#....###.#####...#.##.##...#.#.##.#############..######..##.#.####.#...#.#...##..#.#####.##...###.#########..#####.##.##..###.......#........#########.#####...##.....##.#...#.#.#####..####.#.####.########.##.#...#.#.####.#.#.##...###.##.#...####..####.#.#.#.#######....#.#####.##..#.#.......###.##..##.##.##...####.#.#.....#.#................#.##.######.#####...#.#.#..##...#.#####.#.#.#.###########.##.##..####....#......##.#.####.#####.....########...#..................#.##...####.##.###...#.##.##.####.##..##.######.#######..#.#.###.#....##.#.##......#.###########...........#
#.....######....##.##.#####.#.###..##...##.#..###.#.#..#.#....###..##.####.##....##..#....#.##.###.#.##.............####.##.##.......#...#.#######..##.#..#.#...#.#..#...##.#.####..##...##..##.##..##.#.###.#######.#.#.##..#.#...#.##.#########.#######..##..#.#......#...#.##########.####....#.#.#.#..###........###..##.#....#...........##.#...#####.#####.##.#.##......##.####...##.###.......############.#.##.#.#.##..###.#....#.##..#.#.....##..#....##...................#..#####.##.##.###.#########....#####.##.##.##.##..###...######.##.#.#########.###..#.##...###....#..#.#..#.##.##..............###......#....#########..###.##.......#.##..##.##.#.#.#
###.#.##...####.##.#....###.#.#.##.###.##..#.##.###.#.##.#.##..##.###..##.....####..#######.#..##.......######.#.##.####..#.##.#######.###.####..####..#.##.#.###.##.##.###.#.#.##.####.####.#.....###########.#.........###.....######..#.##.#.#.#.#.#.#.####.....#.#.##.#.#.......##...#.##.####.#.#...##.####.#.###.##.##...####.########.#######...##....##..##.#..##.######.#.##.###....#.#####..###.#.#######.##.#######..##...####..#.##...#.####.#########.######.############..##....#.##.##...#.....###.#.......##.##.....#.##.#.#......#.####..#...##.#.####....#.###...##...##.#.##.##....##.#.#.#######.##.#.#...##..#####..##...#####.######.###..######.###
#.###.###.##.##.#....#.##.#.....##......##.#.##..#....##.#.##.##..#.##.#..#.#...###....###....####.######.###########..##...##.#.#..##..##.#.#..###.##.#.#....#.####.##.#.#.#........##.#.#..#.##.##......#.#....#########.#.##.##.##.#.##.##.#...#.#.#.#...##.#.#.########.#.########.###.#.....#.#.#.###..##...#..##.##....#.........#...####.#.###.##########.##.####..##.#............##.......#.##.....#.....#.#...#..#.####..###.#..######.#####.........#.#....#######.##.#..#####..#.##.#.....#...#.###.#####.#.#.#########...##.#.##########.#####.####......####.#.#.###.##.#.......#.#..###########.###....#.###.#.#####.##..##..#..#..###..###..#######.##...#
#.....#.......#.##.#####..##.######.###.##.#..##.####.##....#####.#.#..#######.##...#.##.###.###.#..................##.#..#........##..##..#.#.##.#..#.#...####..##...#.......########....##...#####.##.###.#.##...##..##.....#.....#.#.....#.##.##.#...#.###..######.##.####..###.##..#.#.#.#####.#.#.....##..#.##.##....#.##.#.#######.####.......#......##.##.##....##......#.##.##.#.######.##.#....#.#...########.##.##..##..##.#...##.#.####.##..##.#.#.##.#.##..............##.######..#.#.############..##.######..#####.####.............##.....#.......#.####.##.#....##..###########...###.....#.##.#...##.#..##.#...#.#....##..###...#####.#.##...#.#....#####
#####.###.###.#.#.....#..##....#..###.#.##.#.##..#.##.#..##..##.......##...#...####.####..##...#.#.####.#.#######.###..#.#############..##........#.##.###...##.#####...########.#.##..####..#...##...###.#.#..###..##....#.#####.#.....#####.##..#.#.###..#..###.#.#..#...###...#..##...#...#.#.#.#...######.##########.#######..............####.#####.###...####.##..#.#.##.####..######...######.#.##.######...#.####..##.##.###...###.....###.##.##########....##.###.###.#.#..#...#.###...#....#.#.#.#.##.##...#.#####.##..#.###.##.##########.###.#.#####.#.##.#.#..####.#..###.##.###...###...#####......#.##.####..#.#.....############..#.##.#.##.###.#.#####..#
#.#....####.#.#.#.#####.####.###.##......#.#..##.#.##...###########.######.###..###..##..###.###.#.##.###.......###.##.#.#.####.#....##..#.########..#.###.####.#.##..#......#...#..##.#.#..####..#.#.##......#########.############.####..##.#..##.#.#.#.##.###..#.#.##.###...###.###.###.###.#.....#..#.#.#...#.####.........########.###.#....#....####...###....#######.##....##.##.#.#.####...#.#..#........###.##.##.....#.#.#.######.####.........#.#.##..#.#########...#.#.##.###..####...##.......#.#..##.###.#.##...##.....#..#.........#...####..##.#####..#.##..##....##...##.#.##.##...#...#.#.##.#####...###.##.##.######.#..##..##...................##..##
#.####..###.#.#.#..##.#..##..###..#####.##...##..#.#..####....##.##.#.#..#.#...##.#.##..##.#..#........###########..##............######.#.#.#..###.##...#..##..#.###.########.###.##..#.#.#####.##.#.#..#######...#.##....#..#..#.#####..###.#.###.#.#........#.##.#.##...###..##.#.#..##.#.....###.####...#.###.#.#..#.#.#.#...############.#.#####..##..#...##.#...#.###.###.#.##.........#...#.####.#.##.##.##.#.##.#..###.......###.##....###.###.#.....##.####..#..#######.#.##..##.##..#.######.##.##.#.##....#...##.###..#.#######.##.#####.###.##.##...#.##.##..#.#####.###.###........#.###.###....#.....#####.#######..........###.#####.#.##.#####.#######.###
#.##.##.........##.##...##..##...##.##..####.#..##.##....#.#####......##.#.###..#.#.###.#....##.#.#.##..##.#...#.##..#.###.###.####.##...#...#.##.#....###.##..##.#.#.##.##.##..##.###.#.#...#.####.####.......#.###.#..#.##.##.##..##...###............########.#.....#.###.#.###.....###...#####.####.#.###.#.......##.#.#.#.#........#.#####.....##....######..#.#.....#...###..##.###.##...######.#.#.##.####..#.#....####.####.##.#..#.####...#####.###....#.##.##.##.#.#########..#..##.....#.########.#.###.###.###....##.####.#.#####.........#.....###.#..#....##.#.#...#.#.#.##.###.#...#######.#.###.##..####.##.##.############......##.#..#.....#.##...#....#
#.#...###.#.##.###.##.#####..#.###..#..##..#.#.##..##.####.....####.###.....###.....#.#...##....#.#..##......###..#.##.#####.###.#..####...#........##.#....##..............##.##..#.#.#.#.###.##.#..#.#.##.####.......##..#.#..#..#####.#.##.#########.....#.##.##.####..##.#.....###.....#........#.#.#.#.#...##.#.#######.#.#.#.#.#.##.....##.#####.#######.##.#.#.#.#.#.#..##.##...#######..#.#...#####.....#.##.#.####..#....#......##......#.....#..##.#.##.##.....#...#.##.#.##.##.##..###.....##.#.#.#.#...##...#####.##..#......##.######.####.###.....#.##.#####...###.#.#.#.#...######...###...#########......##...........#.#.#.#########.##.#.#.#.#..###.####
#.###...######.#.#......##..##.#.##.##..##...#..##..#..#.#.#######....##.####.#.###.....#..##.#.####.###########.##......###..##.#.##.#..####.#.#.#.####.#######.######.#.####.###.#.#......##.##...##.#.#####...###########.#.##.###..#...##.........#######..#.##..###.##....#.#...#.#.##########...........#..#.#....#.####.###.######.#########..#.....#....#####.#.##############...##.##.##.#.####.###.####..#.#......###.###.#.##....#.#.###.############...##.####.###..#.#.##.#..###..########..........#..##.##..##.#..##.#######..#.#.###......##.####..#.##..###.#...........#..#########.#.####.#...##.###.###.###.##.####.#......#.#.##############..##..#.#
#.....####.#...#...######..###.#.##.###..###.#.####...##.....#.#.##.###....#.....########.###.#..#.###.......#.#.##.###.##...##.......#.###.#######...##....##........######....##.#.##.######..##.##......#.#.####..###.#..........##.#.####.###.######.##...##..#.##....#.#######.##.#..........#.##.#.#.##########.#......###......#.#...##.##...##.#####.#####.##.#.##.#.#.#.##.##.#..#.##..#.#........#....#.##...#.####.....#.#..###.#######.....##...#.#..####....#.#.#.##...##...##...##.#..#.##.###.#########..#.###...###.##.##.##...#.##..##.#######.##.#..#.##...###.##########...#.......#.##...#.######.###.#..########.....##.###.#.#.#.####.#.##..####...#
#####.#.#..###.###..#...##.##..#..#.#...##.#.#.##.##.##..#.###.#.##..###.#.####.##.##.######..####.##..#######.#.....####..#######.#.##......########.##.#####.########..#.###.##.........##.##..#..##.#####...##.#.##.#...##########...........###.###..#..####.##....####.###...#..###.#.#.#.#.##..#.###.......##.####.#.#####.#.#.##...#.......####..............#.#...........#..####....##.....#.#.####.##......#.####.#######.########.#.#.#########.##...##.#..####......#.####.#####.###.#.##.....####.....#.#.##.#.#.###.......#....#......#########.#.##...##..##.##...........####...#######....###...#.##..##.##...#..#...#########....#.#...#.....##..#.#.###
#...#.#.##..##.###.##.###..###.#.##.#.####......#.##.##.######.#.###.#.#.#..#....#.........#####.#....##.#...#.#.#####.#..##.#..##.#....##.#..#.#..####....##.........##...##..##.####.##..#....##.##........###....##...####.##.#.#..#.##.#.####.....##...##.......##..........####...###########..##...#.#.#.#.......#######.#####....###.###.####.##.##.##.#.##.####.#.##.######.###.########.#.##.#....###..#.##.#.......#.#######.#.......#.....###.#.###.##....###.#.######.##.....##....#.#....#.#..##..#####....#.#.#.#...#.#.#...#.####.#####.##.##..#..#.#####.#..##.###.#.#.#....#.#####.#...#.##...###.#..##..##.###.##.#####...##..####.#.###.##.##..##...###
###...#.#..##..#.#.##.#.#.##...#.#.....#.#####.##.#..##...#..#.#..#..#.####.###.##.#########.#.....#.##..#.###...........##....######.#######...#.##.#..#.##..#.#######..#####..#.###..###.#.####.....#.#.##.#.##.###..####.#.##.....##########.###.###..####.############.####.###########.#....#####.#.#.#.#.#.#####....##.......#.##...#...#.###...#.##.##.######.####.##..##.#............##.##############.#..#.#.#.#.#......###....####.##.#####.#....##....#####......##....#.#####..####.#.#########..###..###.##.#.#.#.#############.##.....#..#....##.##...##..#.###.#####.#.#.##.####......######.#####...####.##.#.#......#...#..#.##..#.....#.######..##.##.#
#####.#.##.###.#.#.##.#....###.#.##.####.##.#..##.#.##..###.##.##...##..#.#.#.#....##..##.##.##.##.###..##...##.#####.##.##.####.##.#.###..######......######.###..#.##.##.##..####.##..####..##..############.#...###.#.#.....#.#####.#...###....#.#.##.#.#............##....#...#.##.#.#....#.##.#.###########..#..##.###..#.#.#.#.#..#.#.#.#.....###..#.##...#.#.....#####......#.#.#.##########....##.##.####.##.#.#.#.#.####...#.##########.#..##.#.#####.##.......##.#....####...##..####..#.....#.##..##.#.##..............##.#.######..#######.##.####.....#####.#..#......#.#########.#.###.###.#.#.#.#.##.##.#.........######.######..##...#####.#.##.#.##...#.#
#..#..#.#..#.#..........####.#...##...##.#..##.......##.#.#.##....###..##.#...#.######..#.#......#.##..##..###...#.#####.##.#.##.##.#.#.#.##.#.##.######.##.#..###..........##..##...#.##.##.##..####..#.##.#....#.........##.##.#.#.#...###.##.###.#........#.#.####.#..##.#.#####..#.....#.##..#..........#.###...#####.##.#########.####.###.#.##########..#.....###..#.###.#.#######......#.##..####...#....####.#.#.#.#..###.#..........##....###.....##..#######.######.#.##.#.#####.##.##.#.#####..#.##.....##.####.##.#.###.......#...######.#..#......######.#..##.#.###.########.#.#....##.......#.#....#.##.#.#########...##..#.####.###.#####....#....##.###.#
##.##.#.##...######.###..##....#.#..####.##..####.####.......####.###.##..###...#.##.#.##.#.########..####...#.###.#.#.###.....#.#.........#.#.#..##......#.##...#.#####.##.#..#####.#.##.#...##.#....##.##...#.###.#.##.#.##.#........#..##..#.#.#...###.#.####....#.#.########....##.#########...#.##.##.##.#.##.###..#.#...###.#.##....#..##.#..........####.##.#####...#.#.#.......########..#.##..###.#.######..#####.#.##.####.##########.####.#.#######.......####..######.....##...##.#....#.#.#.##.#..#.####...##..###.....##.####.###......#.##.####.##.##..##.......####.##.#.#.#...####..#######.#.####.#............#.###..##.#.##.#.#.....#.####.#####.#...#
#..##....###.##.##..####.##.##.####..##..#..###....####.######.#....#.##.##...#...................#..##.#..###...#.#.....###.###.##.########.#.#.###.######..###.#.#.#.#######..##...#.#....#......#####..#.#################.##.########..#.##.#...#########.#######.#..........####....#..#.############......##.#.#.##...#..#.....#.##.#######.#.#####.#######......#.#...#.#.#.##.###.#..##.##..#.##..........######...####...#########.#.#.#.#..#.....#.#.###.#..#.#.##.#.#..###.####..#.##.#............#####.#.#############..#...##...##.#####......##.#...##.##.##.####.##.#........#....#.##..........#.#...###.##.#####.#.#.###...#......#####.####..#.#....###
##..####......#.###...########.##...####.##..#..##.#.#..##...#.##.###..#..#.####.#####.#.#.####.#.#.##..#.###..###.#.#####...##..#.......#.#.#.#..#.....###.##.#.#.....###.##..#####.....#####.###.......##....#.#..###.#.#.####.###....####.##.#.#####........##.###.##.#.##.##...##.####.##.#.##.......#.####.##........####...###########.##...#....##.....##..#.#.##.#.#########..##..#.###....##..##.#########.##.##.###...#.........#.........##.###.#.#.######......#.#.#.######.#..##.##.###.####.#.#...#.#.#.#.##..#.##..##.#.###..#.##...#.###.####..###..#.##.####..#.##.#.##########.####..#.#.#.##.....#..##..#.#...#.......##.##.########......#.##.#.####.#
#..##.#####.#...#.#.###.####.#..##.##.....##.#.#####.##....###.##..##.##.#######....######....#####.#..##.#.#.##.#.#.#.#.###..##.#.#######.#...#.##.#####.#.#......#.#.#.#.##.##.##..###....##..##########..####...##........##......#####.........#....####.#......#.####..#.######...............##.#.##....#.#..#.##.#..##..#........###...###.##.#..###.###..##.#.##.#.......########.#.....#####.##....##....#..#..###.#.###########...#.#.#.###...####.....#####.#.#........#..##.##.#......##....#########.#......##.#.##.#####.#...#####.###..##..####.####.#.#.....##...#......###...####.#..##.###..##.#.#######.###.###.########.....#.#.#.###.####.#.........#
##.#...##.#####.......#..##....##...####.##..#....##..#.#####..###.#...#.#.#..#..####.#.###.#.#..##...##....#.##.........#.#.##..............#........##..#.##.#########...##.....##...########...#.#.##.##..###.#####.#.#.###..#######..###.#######.##..############...##.##.#.#.##.##.#.#.#.####..######.#######.###..##.##.###########...#..#####.##..#################.#######.#.#......#.#####.#....##....####.##.###..#....###.#.##########...##.##.#..#.###.#.##############.###.##...##.#..##.#..#.#.#.##...#.##....#.##.##.#####.##.#.#.#.##..#.##.####.#......######.###.####.....###.##.#.###...#######.......#..................#.#.........#...##...#.#.#.#.#
#..###..#.##.######.###.##..#.##..#.#.....##...######.......#.##...#.###.#.##.##..##.....#######.##.#####.###.##.#########.#.###.##.#.####.#####.#.#.###.##.#.......#.####..##.####..########...#...........##.#.#.##..#####.##.#...#.##..#.......##..##...##.#.....#.#..######.#.#..####.#.#....##....##......#.#####.##...###.###..##...#.##...#.#..####.##.#.#.##.#######.#.#.#...###.########.....#.#########.#.##.#.##...####.#....####.#.####.........##.......###..##..##.##.##...#.#..####.#####........###.######.##..#.....##....#...#....#.##.....##..#.####....#.#.###.##.###.###.#.##.....##.###.##...#.##.##.#.##.#.#.##.###.##.##.#.#.####.###..#########.#
##.#.#.##.....###.#..##.###.#####.#####.#..###..##.#..#.#.###....###.##..#.#.....####.#.##.##.......####...##..#.##..........#.#.###########..#..#.###...##.##.###.##..##..##....###........###.#.###.#######......###..#.##..#...#.#..##.#.#.#.#....#######....#.######.##..##.....##.#######.#################..#..#..#.#..#..#.##.##.########...##.................##.###.....#.###.#...#.#....###.#...##.#.#....##....##.##.##.#.####..#.#.#.#####.#.#.###.#######.##..#.###.....###...##..##....#.#.#########...#..######...###..##.###.###.####.##.#.#####......#.####.....#.##..######....#.########.#..##.##########.##.###.##..########.#.#..........####...#####
#......#####.##.#.##.....##..#.#..###.####.##..##....######.####.#.#..##.#.#####......#.#...#######...#..#..##......##########.............##.####..###.##...#.#.####.####.#####.#.#.###.##.#########......#..##.###.##.#.###...#####.###...#.###.#####.#.##.####....#.#####.##.#.#.......######.#.#.....###..##.##.########...##.......###############.##.#.##.#.#.###....##.####.###...#.#.#.########.###..#.#.#####.####...........###.##.#.#.#.#######...#.##.#.##..#.##.....#.#.#...#########.###.###.........#...##.##...#########.##.........#.##.###.##..#.####.##...#####.##.##.#..###.##.#.##...#...###....#.##.##..#..######.#......#.#.#.#.#.##.#....##.##.###
######.#..##.##....##.#####.##.#.##....#.#.###..##.###.#.##.#.#..#.#.##..#.#.#...########.#..##.#.##.##.###.#..###.####.#.##...#.##.##.######....####.#..###......#.#..##...##.........####.#..#....#.####...###.#.#.#........#....##.....###.#######.#...#....##.####..##...#..#.#.#.###...#.#......#####.##........###.#.##.###.#######.#.##..####..########..###.#.##.###....##...##.####.#.####...###.##.............###.###.###.##.#.##.#...#.......##.#####.#.##.##.##.###########....########....#..##.##.#######.....#...#.###.#.##.###.###.......##....#####.######.#.##...#.##.#.##.#.........###.#...##.###....##.###..###.....###.####.###.####.##.#.........#
#..##....##...####.##.#...#.......###.##....#..##..##....##.#.##.#.#.#..##.....#####.#.#..####..#.##.....#####...####........#.##########.....####..#...##.#.#.#.##.#.##..######.########.####...#.##...##.#...###.#.#.##.##.#####....#########.........#...##..#....##..###...##############.#.###.##.#.#.#..##.###........#...........#....##....#.###.############.##.#.##.###..###....##.#......#####....#.#.#########.....########.#......#...##########.##..#.#......#...#.##.##.#.##....#####.##...######.........##.##.#.....#.#.##...######.##.#..#.##.....#..#.##.......#....#........#.##.##.....##.##..##..##..#..###...###.#...####...##.....#..###.##.#.#.##
#.#####.####.##.#..#..#.###.##.#.##....####.##..##..#.#####.#.#....#.#.####.##.#.#.#.#.##.##.##...##.#####.##..#..#.#.####.#.#..##..#.#.#.###....##.###.#....#####.....#.#####.#....###.#.##.#.#####..#..###.#..##......#.##...#####.####...##..###.##.###.###.##.######..#..###.#.#.....##.......####.#.#...##..#########.##.#.#.##.##...##..#.####.#.....#.#.#..##..##.#.#....##.####.###....######.#...######.###.###.##.######..##....##.#####....#.#.##..###.#.#.######.###.##.#.....####..##....#.####...#.###.#.#..####.##.##........####..##..#.##....##.####.##....############.####.#############..#####..#.####.####...#...#####..#.###..##.#.###...#.####.####
#.#.#.#.#.##.#..##.##.#.#.#.########.#...##..##..#.##..##...#.##.###......#.#..#.#.#.#.....#..###........#..##.####.#.#.##.#.#####.##......##.##.#..#.#.#.##..#.##.#####..#.#....#.##...#.##.......#.#########.###.########..#.....#..#.###..##.############.#######.##..##.##.#.#...#####..#####..#.#.....###..##.##....####.###########..####.##.#.#.#####...##.###.#......#.###.#.##..##.####..##....#####.##.........##...##.#.####.#######.#######...##.##.#...#..##.#...##......###....##....#.##..#.#.############....#.####..######......###.######.####......##.#######...........#####.........############...###############..###.....#.###.######.##....#..#.#
#.#.#.#.#.#..##.##.#..........#.##.#####.#..##..##.#..#####.#.#...##.#########.....#.##.####.##.##.#######.##...##.......#.#.##.....#.#.##..#.#####.#.#....####..#...#.#.##.#.####....###.##.#############.######.....##..##.#.##.##.##..#..##.....#.##.#.##.###.#.#.##.###..#.#...#####.#.###.#####...###...#####..#.######....##########...............#.#.###..#.#.#.#########..#.###.#...###.###.####.#....#.#########..#.........#.....##.......##.###..##.##.##.##....#....#.##.###.#.###.##.#..#.##..........#.#.##.#.#..####.....##.###.###....##.#....##.#####..####....####.##.#...#.#.##.######.###.####.#.###.#....###.#####.#.##########.....##..##.#.#####.#
#.#.#.#.#.##.#..#....######.###....##.#..#.####......###..#...#.#..#....#.##.#.#####.##..###....##..##.#...##.###..#.##########.#.#...#..######.##....#.####..#.##.###.#.........#.####.#.....####.##.#..#.#..#.###.#....###########..##...###.#####...........#.#...##.#.#.##.#.###.#.#.#.....#.##..#...#.#..##.##.....##.##.#...##.##.####.#.#.#.#.#.#.#.#...##.#.#......#.##.##...#.#...#...#.#.#.####...#######.#....##.#########...###....########.#.##.....#.#.....#.##########...#.#...#.#######....#.########.#.##.######.#..#.#.#....###.#.####..#.#######.#.##......##....#..#.#.#......####..##.#.#..##..........#.##...#...#.#.##...#.#.###.#.#..#####...###.#
#.#.#.#.#.#..##.#.##..#...#...###.##..##.#.##.#.######.##.#.######...##.#.##.#..#.#.....##.#.####..###...###......####.######.#.####.###..#.##..##.##.#..#.##.#..#..##...##.#.#.####......#.#....#.##...##.#.##.#.#.##.#..##..##.#.#####.###.........#.#.###.#.....###..#.#................#.#......###.#######.....###..#.######.##.##..#################...####.#...####......###.##.#.#####............#.....#.#...####...#.###.#########.###..#.##....###.####.#.##.#########.#.###########.......##.###.............#..#.#...##.#.#.##.#..##.####.##.#...#.##..#....##.###..####.###########.###..###.....###.#####.######..#...###.#....###.#...######.....###.#.#.#
#.#.......##.##.###..##.#######....##.##.#.##...#....#.#....#..##..######.##.#.##.#.#####.........##...#####.######.#....#.#.......#..##.##..#.######.#.##.##.#.##.##..########....##.##.#######....#.####...........###.####.##....#......##.##########...###.#####.##.#...#####.#.#.##########.#####..#.#.##..##########.#.#.#####.#..##..#.###..##.#.#..###.#....#....##.#.###.#.......#.###.#.##.############.#.####.###........##.#..#######.#....####.#.........###.#.#............#....#########....##.##.#.##.#.###.....##########..##..#..#.#.#..#.###.###...#.###...##....#.......##.####.#.##.#.##.##.......####.##..######.#...#####..#.####.#.#.##.##.......#
#.#####.###......###.......#..#.##.#.....#..#.#.#.####.####.#.####.##.##...#....#.....##..##.###.##..#...#.#..#...#.#.##...##.######.##..##.##...##.....##..#....#....##......###.##...####...####.##..##..#.#.##.##..##.#.#...#.#.##.####.............#########.###..#.#.###.#.###.#..#.##.#.######.####......#####...#.#......##.#.##....##..#..##......####...#####.###..###.#.##.####.....##########.#.#....#.#.##....##.##.###......##.#..#....#.##.##...#.####.####.....###.#.#.##.#.######...#.############.#######..#.#..........##.###...##.#.#.######..##.#.#...#.#..##.######.##.................####.#.##.##..#..##.#.##.#.#.#.....##..........#########.##.##
#..#.#..#.####.###.#.#######.#####.##.##...####.........#.#.#.##.#..#..##.##.##...##.##..##..#######.#####.#.##.###....#.###.....###..#####....######.#..##...####.####..###########.###..##.##.#####.##..##.#..#..##..###.#.###.####...###.####.#.#.#.##....###...#.##...........####.................#..####.......###.#.######..#..#.####..##.###.#######...###.#.###.#####..#.#....##.######.#.##....#.#.####...##.####...#.######.#......##.#######.#..###.###.......#.###########......##.#.###.#.....##..##.#.#.#.####.#.#.##.######..##.#.........##..#.###.###.###########....####.#.##.#####.#.#.###.#.####..##.#.##.....#.#.#.#######..####.#.#####.#.#########
#.##...##.##.#.##..#....#.##..##.#.#######..##..#########.#.#.##.#.##.##...#.####.##....####....#.#...##.....#...###.#####.#.#####.##.#.##..######....##....######....##.#.......#.....##.##.##.#.#.#....###.##.##.###..#......#.##...#..##...###########.##.....###..###.###.#.####.#.#.#.####.##.###...###.####.##........###.##.#.##....#.##..........#.###.#......##..##.##.#.#.#####.............####...##.##.##..##.##.####..#######.#.##...#..##....###....##.#.#.##..#........###.##............#.#....##......#.#.######.##...##...###.#.#.#.###..##.#.##...##..#.#.##.###.#####.#####......###.#..........##.........#####.......##.###.#.##.#.....#.#......####
#..###.##.#.....##.#.####.###..#.#..####.#.###.###.#.##.#.#.#.#....#...##.##.#.########....######.#.###..###...#..##.####...........###..#.##.##.###.#####.###.....#.###.#.#######.###................#.##.#.##..#..###...####......#.#.##..#...#..###..#.####.###.#.##.....#.#....#.#####....####...###.#......#..##.#.#####....#......####.#..####.#.###.#.#.#.########..#.##.#.......#.##.#.###.#####...#........##.........#..##..#.########.##.##..####.####..###.#..##.#.######...#####.###.#.#.############.###.....#.#.######.#####.##..#.#.######..#......#..#.##.#................####.#.#..##.#.##.####.#########.#....##.#######...#.....#########...######.##
#.##.#....####.##.....##..#.#.##.#.##.#...............#.#.#.#.##.###.####.#.....##...###.#..##.##.#.#.##...#########.#.#..#.#.#.######..##....#...#####.##.#.#.#######.......#..##..#########.#.#.#.#.#....#####.####...#....#.##.#.#.#..##.##.##.##.##.....####.#.#..#.############.....#######.#######...#.#####..#.#.###.##.###.###.###.#...##.#######....#........#.#.##......#######..#.#...#####.#.#.#.##.###....#####.#...###.##...#.#.##.#...##.##.#.############.##....#..########.###...#####..#.#.....#...###.#.......#.#####.##..#.##.#......##...#.####.#####.#.#.####.##.######..###.##..###..#.######...##.####.##............#...#.#.#..#..#.#.###...##..#
#.##.##.####.#.##.#####..##.#..#.#..#.####.##.####.####.#.#......#.#..##....#.#..#.#...#######...........#####.###.#.....#########.#.##.#..#.##.###.#.#....#.........###.#.#...##..##.#.#.###########.#.##..#.##..##..#.##.######.######.##..####..#....#####.#......##....#.#.#.#.#.#########.........#.#.#...#.########.#.#...##..####.#...#..#.......####...####.###.#.##.###.##....##.##.#.#..#......#.#.##..##.#.###.######........#.#.#.##.#.###............##.##.####.##...##.#....#..##.#..#.###.....##############.#.##......#..###.#.#..#.##.#.##.###....###.#.....#....####......##..######..##.##.#..###.###..#..######.#.#####.##.########...##.#...#.###..##
#.##.#...##....#...#.##.##....##...##.##...####..######.#.#####.##.#.##..##.###.##.######.##.##.####.#.#...........#.#####.#.#.#...#..#...##.##.#.#...####...##########..#########............##.#..###..##...##.###.#####....##....########..#.#.##.######.#.###.#####.####.#.#.#......##.....#.##.#.##.#.#.#....##..###.#...####.##.#....#.##...#######....#....###.#.#.#....###..#############...#.##.#####..#####.......#.###########..............##.#.##.#####.......####.#..#...####.##..####.#.#.######.#.##.....##.####.######.##.###.#.##.##.#.##.####.#.......##.########.##.##.####..###.##########.##.#.####.#.###..####..##########....###.##....###...##..#
#.##.###..#.##...###.....####..###..#.####.#.#..####......##.##.#.....##.#########..##....#..#...#####.#.###.#.##.##....##.......###.##.#######.#.#.###....#......###.##....##..#..##########......#####..#####....#.....#.######.###.#..#.##...........#.#...##..........##.......###.##..#.#.#..############.#.##..##.#.#.###..#......#.#####.####.##.###.#######...#.#...######.##.#.###.#.#.##.##.##.....#.###.######.#.............#.#.#.#.#.##.#.######..###.#.########.####...###.#...#####.#.#.#..###.#.#.#..#########.###.###...#.#####.##..#.###.....#########..#...##.#....#..###....##......#.#.###.##.#.#.##.#.#.#.##.#####..........####...##.####.#.###..##
#.#..###.######.##...#.###.#..##...##..###.#.#.##..####.###..#..#.#####..#..#.###..###.####.##.###.#####..##.#######.######.####.##...#.##.##.....#...##.#.##.#.###......#.####.##......##.###.#.####..#####.###.#####.#######..#####...##..##.##########...###..#.##.###..##.####.#######.#####.####...#.#.######..###...#.#.##...########.#.#.......#.#.....#.#####.....#..###.#...............#.######.##.###.#.#.######.##.#.#.##.#.#.#####.######......##.......##.##.#...#.###..#....#..##.#.......##.......##..##.####..###.....###...###.##.####...#.####.#######.#.#......############....#.####.#.#.#.##...............#.......#.#.#.####..###....#.#........###
#.#.##.#..##.#...###.###.....#####..#.##........##.##.#..###.##.#.....##...##.#.#.###...###..#........##.##....#.#.....#..#.#..#..###.#.#...####.##.######.######...########.##.##.#######..####....##..#.#....#.#..##.#.....##.###.#.###..##...#.###.#.###.....#####.####.......###..#.......##.##.##.##.#.#.#.##.##.###.#......#............##.#.#.##.###.###....##.##.#####.#...#.#.#.#########...#.########..#.#......######.#..#.#.#....##......#.#.##.##.#.#.#.........#.....#.##.#####.##...##.####..#######..##...#.#.##...######..#.#.#.##...####.#.###..#.....###.#.####.##.##.#.##...####..#.#.#.#.#..#.#############...#.#.###.#.#......##.#.####.#.######...#
#......#.##....###.#...#.###..##.#.##.######.#####..#.#.##...##...#####..#..........##.##.##...#.##.#..#..###.##.##.####.##.#.###.#...#.#.###..#.##.....##....###.###.###.##.##......#.#.#.##.########.##.#.######.#####.###......#.......##..#.....#.#.....###.....###..#.#.#.#..#..##.#.######.....#.#.........#..#.#.#...########.#.#.#######.###.##.##...##.##.##.####.#...#.#######.###....##.###......#.##.....#.######.###########.##.##.##.#.########..#.#.#########.##.##.####.##.######.######.##.#.#.#.#.###.###......#....##..####.####.#..#####.....##.#########..######..#.#.#..#..######...#.#.#.##....#.....####.#.#.#..#############.....##.........#####
######.#..####..##.#.#####.##.#..#..#..###.#..#..##...#.#..######.#.#.#.##########.##...#..#.###############.....##......##.#.#.#####.#.......##..#.#####..##.#...........##..###.####......#..###.#.#.#.......##..#......##.######.#########.##.##.....#.#..##########.#########...##..#...##.#.#.#.....#########.##.#...#.#......#.#.#.###.#.#####.#...#.####.####.......###.#......##...#.########..######....#.#.#.#.##.......###...#######.##.#######..######.........#.########........##.#...##........#.#.....#.###.######.#####.#####....#.#.##...##.##......#.....####.##.#.##.....###......##.##........##...#.#....#.########.#.#.###..#..#####..##.########.#
#.##.....####..##......##...#.##.#.##.##.#.##.#.#####.#...####..#..........##.#.######.##.##..##...#.##.#..##.####..#.#.##..#....#.#....##.#.####....##.#.########.########..##.#.###..######.##.........#.###..##...#############..#.......#.##..#.#.###.##..............#.#.#.#.#....####....###########..#.......#.##.####.#.#.######........##.####.##.##.#...#..#######.#.#.###########......#.##.#.##.####.#####.#..#.#.#####.##.###.##.###...##.#.#.##.#.###.#.#.#.####.##.#.#.########....###..###.#.##.#.#####.#.#.#.#.######.#.#.#...####.#....###..##.####...#.#...........##.##.##.##.######.##.###.#.####.##.#.#.##...##.............##.##..##.#####.##.#.#.#
#.#..###.##.##..##.#######.##.#....##.#..#.##...#.#.#.#.###..##.#.###.#.#####.#..####........#####......#.#########.#######.#.####.##.########..##.#..#.#..#.##.##........##..#.#.#.#.####.......#.#.##.##########.###..######...#.##.##########.##.#######..#.#.#.###.##.......#.#.##.#..#.##...##......##...###.#....#....#.#####.#.###.#.#####...#.#.....#...###.##..##.#..........#.#..#.######.##.#.##.#.#....#####.##.###.....#.......#..##.#...............#.#.#.#.#.##............#.#..####.#.##.######.......#.#.#......##....#...#.#########.#..##.##....###.##.#.##.#.####.....####.#####........#####.##.######.#########.#.###.##.####..###.#.....#.........#
#.##.#.###..#..##.....##...##.##.###..##...##.###.#.#.#..##.##......###..#.#....##.#..######.#.#.##.#####.#.###..#.....##.#........##..#....###.#..####.#.##..#.#..###.######..............##############.#...##.#...##.#.##.###...............#######....#.############..###.#####..#...##########.######..############.####.......#...#####.....###.###.###.#####..##..#.#.##########.#.##.....##.##.#.##.#.##.###.##......##.###...#####...######.###.#.##.##.########......###.####.#.....####........#.#...#######.....##.####.##...#..........##.##..###..##..#####.#..#.#....##.##..#.#...#.##.#####....####....##...##.##...#.###.#..####.##..##.#.#####.###.#####
#........##.##.###.####..###.......##..##.##..#.#.#.....##...##.##########.#.####..##.##.#####...##.#.##....#.##.#.######.##.#######..##.####.#.##.##.#.#..#.##.#.####.#.####.##########.###.####.#.####..##.###.#.###..#........#.##.###########.###..#######....#....##..##.....#.######.##.#.#.#.....###......#.#.##.......#.#####.####.##.######.......#......##..#.##.#.#.#.#....#.#....#####...#.#.#............#.#######...#.#.....#.#..#.##....#.#######..#####...#.##.##########.#.####.#.#####.##.#.####.####.#####.......##.#.#.#.##.#.####.########..##.....###########.##.#..##.#.###.#.....##.##..###.#######.....#.###.....##.##....#.##............#..##.#
####.######.##.#.#....##...#####.###..##...##.#.#.#.###.#..###.........##.......#.###.##.#.###.####.#..#.####.##...###.#..##..##.#.##......##.#.#.......#.##.........#.#..##......#...######.........##..##..........##...###.#.##.##...............##.#.#.#.##.###.#####.##..#######.......#.#.#.#.#####.#.######......#########.##..##....#...##.####.####.#######.##.##.#...#.#.####...#.###.###.##.#.#.#####.#.##...........#####.########....#.#.##.###.#.####.#.#####.##....#.....#.#............#....................##.###.##..#.########....#....##..#.##..#.####.##.#..##..####............#.#.####..##.....#.###.#.###..##.###########.##.##.##.###.#.####....#
#.##....##...#.#.#.####..###.#.#.#.##..##.##..#.#.....###.##.#.###########.######.##...........#.#....##.#.......###.#.##.##.###...##.####.##.....###.#......##.########.##..#.##...#..##..#.#####.#.##.###.###.#.##..#.#..######..##.######.##.#.#...................#.#####.........#.#.#............##.#.#.#..###.####....#.#...##..#.##...#.....##...........#.#.##.#....###......#.######...##....#......##.#.##.########.###.##....#.#.#############.....##.#.#.#...######.##.#######.#########.##.#.#.#.#.#.##.##.#.##...##.###.#..#.##....#####.#....########...........####..##..##.#.#.##.##.#...###.#..#.###.#.#####.##..#....##.####........##.#.#####.####.##
#.#..#######.#.#.#..#.#.##.#.#...#.#..##.....##.#.###..#..##.#.##..##..##..#..##...#.###########.#.#####.#.########..#.#..#...#..####.#########.#######.#.##..######..##.#..##..#.####..#.##.#########..#....########...##.....##.###......######.#.###.##.######.#.#.....#.######.#.######.##.#.#.#####....#.#.###.......##...###..#.#####.##########.###.#.###.#.#.#....##.....######..#.#...#####.###.##.#..#####.........#.....##.##...........#.#.##..######.......#####.##..........#.#.###.######.#######.#..######.####..###.####.#..####...##..#.##.#.#..###.#.#.#.##.##.#######.##############.#..##...##.##..#.#####..#.##.#####..##..###.#.##.............####
#.##...##..#.#.#...##.#.##...##.##...####.##.##.#.#.####.##.....#.####..##.#.###.###...####.##.#.#...#.......##...##...##.#.###.##.#......#.#.....#..########..##..##......##..##..####...........#..##...####.#.##.###############...#.#.#########..##.##....#######.##.##.....######.#.###########.#.##.###.#.....########.###.#.##.#.##....##.##.#...##########.#.#.######.######.##.##.#.###.##.......#.##..#.###.#.#.####.#.#..###..###.#.#####....#.###.#.#.#.#.#..##.#..##.#.#######.#.#........#.......#.##.....##....##.###.##.###.##.###############.#.##.###.#########....##................#.##.###.###....##.#.#.##.#.##.#.#.#.###.##########.#.#.######....#
#..###..##.....###.#.....###.......####....####.#.#.###.....#.###.#.##.##..#...#..##.###..#..#.....###.#########.####.##.............####...###.###.##.#.#.#######.#..#.#.########..#.###.###.#####.###.#.........#..............####.#####..##.###.###.##.##....####..###..#####..###.....#.##.#.#.............##.###...#.###.#.#....#....####.......#...#.#...##.#.......####..#.#.....#........##.##########.....#.######################.#.......##...........###.##......#####....#.####.#.###.#.##.#.#.###..#.##.###.#.#####.#....##..##..##.##.##.#.##....##...#...........##.##.#.###.#.#.#.#.##..#...#...####..............#.#..................#.######.#.######
##.###.#######.##..#.#.###.####.##.#..####..##........##.#######..#.....##...###.###...##.#.##.###.......##.#.##...##..###.###########.######.#..#.......#.#.#.##....##.#......#.##.....#...####......#.#.#.###.#...#.##.#.#######.##..#.##.##....#.#....#..##.#..#.######.####.#.##.#.#####.#......##.##.#.#.#..#.....###...#.#.#.####.####..##.##########.#.####.##.######..##.....#.#...#.#.##.............###.###........##...###.#....####.#.#.##..##.#.############.##.###..#.##....##..#.#####.##.###...####..#...######.##...##..#.##..##.....##....#.####..#.#.#.######.###..###...#########.##.###.##.#.####.##.##.##.###.....#.#.##.###.#######....#.#....#####
#..#.#.#.#.#...###...####..#.#...####..##..#####.######..###.#.##.#.#####..####..#.##.##........#####.#####.#.#..###..##.........####......##.##...###.#..........########.#.#...##.#######..#...######.#.#...#.###.####.#.......#..####.#.....#.#####.#.#.##..##.....##.#....#.#....#.###.....##.#.####..#.#.####.#######.###.............##.##.#.##...#......##..##.##.##..###.########.##.#..#.#.###.#.#######..####.####....###.....#.###.############.#..####...#.##..###.#.######.#..##.#.....###...##########.#.#..#.#.#....###..##....###.#######.#.....##.######..##..#...#.##...#......######....######....#..#.##..#...##.####.#..#...#.......#.##.....####...#
##.#.#.#.#.###..#..####.##...#.#..##..##..###.##.##.....##...#.##.....##..##..##.......##.#####.....####........##.##.#..##.#.####....######.....#...####.#.#.#.#.....##.#####.####......##.##.###......####.##...#....#.#.##.##...##..#...#######.#.#.#.#..###########..#.####.#.####...#.########....######..#####.###.....###.###########..##......#.#.##.#..##........##........#.#.#.##.#.##.#..##.#...##..##....#....###.##.##.######........##..#.####......###..##.......#...##.##......###########........######.......##...####..#.##.#.......###.#####..#..#######.##########.###.###..#.####.#.##...##.####.#..#.##.###.....#.#.##.###.###.###.##.###......#.#
#........#.#.##.#.###.#..###.####..##..##.#.#.##..#.#####..###.#..#####..####..#.#####..#.....#####......###.#####....#.#########..####..##..###.#.#....###.#####.#.#.......##....#.##.#.#####.....#.##....#..##.##.######..#..#######...######.##.#.##########.##.#..##.#....#.#..#.#.###.#.....##.####.#.#####..##.#.#.#######.##...##..##.##..##.#####.#######..###.#.##..####.#.....#..#########.####.#....####.#.#.#########.....##.##.##.#.#..##.#.###..#.##.....##..##.##...#######.##.#....#........####.#..#.#.#.############.#..####....#.#####.....#...##.##.####....#.#.#.#...##...##...#.####....#..#.##...#.##..#...##.#.##.#..#..##..##..##..#...#.#.#.####
##.#####.#...##...#.#.#.##...##.#.##..###.#.#..##.#.#.#.#.##...##.....##.#.#..##...####...#.#.###.############.#.#.####...#####.#.###.##.##.######.########..#..###.#.#.###..#.#.##.##.#...#.#.##.#####.#######...#####.###.######..##.####.....##.#....#.##.........###...####.##...........###..###..#...#.###.###.#...##..#.#....###..##...##..#....#.....##.##.#########.#.#######.###.##.##..##...#########.##.###.###.....#.#####..##..######..#.#.#.##.#.##.##########..#.#.....#.######.##...######....#.##.....#........###.....##.##.#######..##.####.###..........##.......##.###.######....####.#.#.##.##.#.#.############.##.#.###.#..###.####.##.########.##
####.....###..#.###.#....#.#.......##..#......##..#.....#.#..###..##.##..#.##.#..###..#######......###...#.##.......#.##.##.#.#........#.#.......#......#.##...####.###############..#.#.#......#.....#......###.####.#.#.####.....##.......#####....####.####.#######.###..#.#.##.#.##############...##.###.#.#.......###..##.#.####.##..##.##..#######.######.#......##.#........#########.....###.#..##.####..##..##.....#.#.....#.#.####..#...##........###.#......#..##..##.#.#.###..#.###..#.###..########.##.#.###.#.######.##.#####.....##.#.##..#.#.#...###.#.#.##.##..##########.#....######....#############.#............####.###.####...######..#....#####..#
#.######.#.##.#.#.#...#######.###.###.##.#######.##.#####.#.###..######.##.##.#.##.#.###..###.#.#.##.#.###..###.###...##........##.#.#.....#######.#.##....#.#.#..#............###..##.#####.#.###########.#...#..#.#......#...######.#######.##..#####.#.#.#...#......##..##.#.##.#.............####............#####.....##.......#..##.....##......##.##.#.#.#.######..#.##.#####...##.#..#.#...####.........####..##.#.#####.##.....#.#..##.#########.########.#.###.###.###.#####.#.##...##.#...##........#..###...#.#######..##.....##.####.....##.......#..#..#########.######.#.##.#.####.######.###.#########..###.########....#.....###..####.##..###.#.#.#.#.##
#.................#.###..##.#####.##......#..##..##...#.#...#.#.###.##...#.##.#..#.......##.###.#.......###.##..#.#####..##.#.#..#.#.#.#.#...#.#############.#...####.#.#.######.####..##.##.#..........####.######...#.####.###.#.#......#.#.#..##.##......###...########..#....#.###.######.##..##..##########.....#.#####..#######.###.#####..##.###.......#.#....#.##....#.###...#.#....#########.#.#.#.######.#####.#..#######.###.....###.#.#.....####...#.###.......###.####.#.......#.####.###..#.#.##.##.###.#######...##.##.######......###..###.######...#####.##.###.........#.######......#......#.##.##..###........##.##########.##......###.#.#####......#
#######.#####.#####.#.#.###.##.....#.######.####..##.##.#.###.#...#..###....#.#.##.##.#.##....####.##.###.#..#.##.####..##..######.###.#.#.#.......###.#.######.##.##.###.##..#.....##.....###.#.###.####.####..##..#.#....#.#.#.#...##.#.......###..##.#####...####.###...##.####...#......#########....###.#############.#.####.###.##......##.####.#.#######.#.####..#.####.....########.#.#.##..#.#.#.#......#.##..#.####.#.##....#.#.#.....#...#.#..#...###.############...#...##.######....####..##.#########.####.##...###..#...#.#.#.######.####.#..#.#######..#..#...#..#####.#....##....##.##########....###...#.##.##.##....#.#...##..#.#.#.##.###...##..##.#.#
#########.##...#.#..#...#.#.######.#.#..##...##..##........##...###.##.#.#.##.......#.####.#####.#.######.##.#.##......#######.#.####..###.##.######.#........#..#.##...#..##...######.##.##...###..........###..#.#########.#.#.#.########.#.#.....###..##.###........##.##...##..#.#.##.####.##.#.#.####.#..........##........#.#.#..##.#####..#.#..........#....#.#.##....##.#####.#.##.........##.##########......#####.#.#..##.#.#####.#.#...#.####...###.#....###.....###...###..###.###.####...#######.##.#...#.#.##.###.##.#.###.#.#....###..##..##....#.##.#.##.##.###.##...#.#.#.###.#####.....##.#...####.#.#################...####.########......#####..#.#.#
#.....###..#.#...##.#.###....#.##..#...#####..#.####.###.#..#.#..##.##.#.####.##.#.#####.#.......#.#..#.#.#..#.#..#.#.##.##.......#.#.##....#....#.#.#.##.########..########..######.################.#.#.###...##.#.#.####......#...#.#..#.#.#.#.###.##.##.##..##.##.##..###.##..#######..##...#.#.#.#......#############.######.....##..##..##.#.#.######.#...##........#.##........#....#####.###...#.#.######.#.###.##....#.########..#.###.#######..###.....##.....#.###...###.##.......###.#..###...#.#.##.##.##.#.##.#.#.#.....##.#...####.##..##.##.####....#..............#.#####.##......#######....#.#..#.####.#.#...#.#.#.#..#...#..#.###.##.#.####.##..####.#
#####.#.##.####.##..#..##.##....##...#.#..###....##...##########.##.......#.#.####.....#.#.#########.##...#.##...######...##.##.#...#..##.###.#.##......#......####...#..###.##.......#..#.#.....#.####.###.#.#.#...........##.#...###...##.#.#######..#.#...#.###..#####...#..#.##.#.#.####..#.........######.##..##.#..#.#.##...#.#..##....###.....#..######.###.############.##.##...#.########.#.#.#.......######....#.##.#...#####..######....#..####.##.#############.###..#..##.##.#.####.##.....###.#..........#.##.#.#.#.#####....#....#.##.###.........#.##.####.##.##.###.#####..##.#.#.........######.##..#.#...###.#.#.#.#.##.#.#.##..#.....#.#.##....#######
#..........##.#..##...#########.###.####.##.#.#.###.###.#.##.##.....###.###.#....#######....#.....##..##.##..#.###..#####.....#######.##....######.##.##########.#..###.##.#....#.#####.##.#.#####..###.###.#.###.##.##.###..###.#...#.######.##.#..##...##.##.#.#####....###.##.........##..##.#.#.#.####.#....##..#.##.#...##.###.#.##..####...#####.##.###....#..........#.####..##.##.......##.#.###.##.##.#..###.####..#.#.###.#.#.##.#..######.##.##.#...#.#.##....##.#...##.##...###..#.#....##.##.#...#.########..#.#.#.....#.##.######..........###.###.###....##############.#.####..####.#.##.#....##...##.#...###.#.#........#.#....#.##.##.####..#.####.#.###
###.######......##..####.#.#.....#...##..#..#.###.#.#........##.#######.......##.##.##.#.##...#######.##.###...#.#.##.#.##.##.......#####.#....##...#........#.#.##.#.#......####.###.#.##.#.#.###.##.###.#.#......###....##...#.##.##.##.#####....##..###...........####.##..##.####.##.##.###########..#...##..#.##.#....####.#.#######.##.##.####.#......###.##.#.#.#.####.##.#####.##########..#..#...#.####.##.#.#.##.####.....#.#......##...##.##......#........####..##.##...##.#####...#.##..###....########.#.##.#.....#.#...........#.####.#.#..##...#..#..#.##.##.......##..#..##..###.######.#########.##.#.####..#.#.###############....####..##.#.#........#
#.#####..######.##.##..#.#.#####...#####...##..##...#.#########.......#.#.###..#.......#.######..##.#....#.#.###......#.#...##########.##########.####.#######.#.#..#.#.#######.###.#.#.............#.##..#.#.####...##.####.###.##....#..#...####..##.#.##.###.######.......###.#.########....#.#.#.###.##.####....#.#.##.#.#.....#.#.#.........#.#.#.####...###..#.#.#..........##.###...#..#.##.#.##.#####.#.............##..#####.#.#########.#.....#.#.###.########.##.#.....###......#.#....##..####.####........##...#######.#.##.######....#########.####...##.....#.#####..##...##..##....#.#.#####.#.##.......##.##............##.##....#.##.##.##......#.##.###
#.##..##...........##.##.#.##..#.#....###.###.##..###.##.##.#.#.###.#.#####.######.#.#.#...#.###.##...#.##.#.....####.....#......###......##.##.#...#######..#.#.##..............##.....#.##.#.#.#.##..##......#.#########.#.#####..##...##.#######.##.#.#...##....#.####.##.........##.#...####.#.#..##.#....#######.#..###.#.#####.#...#.##.##...#......##.####.##.#.#.###.#.##.....##.###.##...........##..#.####.#.######..###.#.......##.##....#.###.#.##.....###.#..#.#.#####...#.#########..##...##....#####.#####.####.#.####.##....#.##.#.........#....##.#######....##.##.##.###..####.#.....##.......##.######..##.###.##.#.###..##.#######..#.#..#.#.#########
#..##.##########.###..##.#.###...######...#....##.#.#.##....#...########.#.......#######.###..##....#.###....###...###.#.#########.#.#######..#...#.#.....##.#......#.######.###..#.##.#######.#.####.##..#.##.#....##.##..#.....##.###.##...#...##.##.#...####.####..##..#####.##.#......####.......###.##.###.##.##.##..##.#...###.#.#########.#...#######....####.#.#..####..###.###..#......##.##.#.####.##.#..###.##.#.##.#.#...#######.....#.##...#.#####.##.#.#.##.#.....#.#.#####.#.#.####..######.####.#.#..##..........#..###..####.####################.......##.###..####..#.#.##..#.##.#.##..#######.......##......#.######.##........##..##...##.#....#.##.#
##.#..#.##.#.....#.##.#..#.#.###..#...###.#.####..#.#....##...#...##.##....##.##..#.#.#......##..#.########.########.###....#.#.##.#..#.##.#.##.#####.######.#.#########.##########..#########.#....#..#.#####...##.....#.###.####....#.##.###.###..##.#.#....#..#.##.###...########.#.##......#.######..##...#.##.##..#.###.#.#...............#.#.#.......###.###.###.#.##.#######..##.##.####.##..###.#.#.......#######...##.....#......##.############..#.#######...##.#.#####.#.#...........##.###.#.#.##.#.#...####.#######...#########....#.##.....#.###...#############..##.###.#...###...####.###....##.##.#######.#.#.##....##.....#.###.##..###.###########.##.#
##.##.#.#..#####.#.##...##.....##.#.####.....#.##.#...#.##..#####..#.#..##..#.#####.#.#.#######.####.##.##.......#.#.########........##..#.........##....##..#.......##.....##......#####.##.########.##.....############.#########.#.####..##.#.##.#....#.#######..#.....#........######.########....##.##.###..#..#.##.#.....#.##.##.#.#.###.#.###.###########....######....##..#.###.#.....#..##..##.....#.#.####.##...####.######.#.#.....####..##..####....#..##.##......##......#.#.#####..###........#.#.#.###........#.##.###......##.###....#.###.#.#.####...#....#.#.###..#....#..###.##.####.#.##.#.....#.##..#.###########..##.##########..........###.##.#..#
#..##.#.##.##.......##.#####.###.....##..#####.##.#.#######.....#.##...########.##..#.......#.#.#.##.##..##.######.#.#...#.##.#.#.####..##.#######..#.####..##.#######..######.###.##..#..##..#.###.#..#.########.##.#.##..#.#....###.#....##..#.##...#.##....##.##...###############.#.###....##..####..##..###...##.##...##.##..###..#.#...#.###....##.#....##.##...#..##.###..#####....#.###.###.##..#.#.#.#.##.#.##.###..#..##..#.###.##.##..##....###...##...##...###.####..###########.########.#.#####.#.#.#.####.#.###..#...#.######...##.#######.......#...#...##.......##.#.#######.#..#..###.#.########....##....#.#.##.#.#.#####.#........#.##.##.##.#..#...##
##..#.#.#...######.##....#.#...####.####.#.#.#.#....##..#.#######.###.###....##..##.##.##.###...#.#..##.###............###....#.#...###.##...#####.##..#.##......#.....###.##....#####.#.###.##...#...##..................##.#.##########.####....#.#.##########.##.######.#.######......##.####..##.##.##..##.#.#.......########...#.##.#.#.#..#####....#.####..######.##..#.##.#.#.##.###..####.#######.#.#.#...........##.#.###.#############.#..##...#.#####.##..#.#.#.##.##....##.#.#.#.....#.####.##.#.........#...###...####..........###......##..#.###...###.#.###.##.###......#.#.#...##.##.#.....#.#..###.###.####....#......#.#..#.#####.##..#.####....##.####
###...#.###.##.....####.##...#.#.....##..........##....##.###.###..##.#.#.######..#.##..#..#..###.#.##..#...#.##.#.##.##...#.####.#...#.##.###...#....##.##.##.#...#####......######.#.#.#......#...#....##.##.#.#.#.#.####.......#.##.#....#..######.##.###.##.....###.............#.##..#.#.###.##.#...##.#....##.#.#.###....##.#.#############.####.#....#.##......#.###..........#....#.##.##.##.######.####.##.########.#.#.#.#.##.##...##....##..#.......###..####...##.#..####........#.#....###..#...#######...#.....###.######.#.#.#####.#####..##############..############.###.#.#.###...#...#####.#.###..#.#..#.#.####.####...#.##.#...#..#.##.#.##.#####.#.##
#.#.#........###.#...##..##.######.######.######..##.###........##.#.......#.#.##....#.##.##.##......##.#.##############.###########.##........########..#...###.#.......#.####.##.#.#.....##.#.#.##################.###.##.#######..#.####...###.##...#......#.#####.#.#########.#.#.##.##...#.#..#.#.###....##.####.#.....#######.....#............#.#.##......######.#...##.##.##...#.#####..#........#####.#.##..###.#.#.#.......#..##.###..##..##.#.#.#.######.#.#..###....###...#.#.#########...##...###....####.#.###.......##.########.##.......##.#......#.######.#####..###...#......##.###.###.###...##..##...##.........#######....#.######.#........##.#....#
#.###.#.###.##.#.#.#....##..#.#.#...#..##.##.######....#.######..####.#.#.##.#.#..####..###.....#.#.##..#...###.#....#......#.#.##.####.####.#.#.###.#..##.#######.##.#.##.......#.#...#.#.#########.##...........#####..##.###..##.##.#..##.###..###.##.##.###...............###.#.#..#....###.#.##.#.....#.##....#####.##.......#######.#####.#.######.##.#.##....#.#.#.#########..###...#.#.##.#.#.##.......#.###...........#######.##..#.##..#.###########.#.#..#.##.....##.....#####.....#.########.#...#.####.####...#.#.###.##...##.#.#.##.#####......######.........##.#.##.#.###.#.##..........#...#.#####..##.###.##.####.........##........#.##.#.#.#......####
#..######....#.########.##.##.#...###.##.........##.##........##..#.#.#####......###.#.#####.####.####.##.#...#.#.####.######.#..#..#.#..###.###.#.#.#.###.###..#########..#.#####...#######.#.#.##.....###########.#.##.#......##..##.#.##..#.#.##.#.....#..#..#.#.#.##.####...###.##.#.#####..#......#.###..###.##.#.####.#.###......#...#.####....#####..#..##.###.........##..##...#.#........################.##.##.##.##......#...##.#.#..####..#.#.#.##.#.#.##.#..#.#####.#####.########.#..#.#...#.#.........#####.#.########.###.............#########..##.####.####..#.##.......#####.#########.###.#.####.........############.####.##.#.######.#.#.#.###.###.#
#.##....####...##.##.#...#..#.##.###...#.##.#.##.##..##.####.######....#.#..##.#........#.#.....#####..#..#####.........##.##.#.##.##...##.#####.#...........#.##.##.#.########....#...##.#.........###....#.#.#.##.#.#....#.##.#..###.#..#.##...##...########.#########....#.#.########...#.##.#.##.###..##.##...........###..##.######.###..###.##...####.#.###.....#######....###.###############.##.#....#.##...#.#...#..#.##.###.###..#.#.######.#.#.#.#...........##...#.#..........#.#.#.#.##.#.###.###.##.#.##..#######...##....##.######.#.#.......#.#.###.#.#####.#.##.##.####.####.#######.##.........##..#####.#............#....####.#......###.#.#...#.....#
#..###.##.##.#..#......#...##.#..#.###....##########.#....####....##.###.##..#.#.###.####...######..##.#.######.#####.#....##....#.####.##..##.#...#.####.##............#.#.#.#.####.#......#####.#..##.##........#.#.#.##########.#.#.##.#.##.###..#......#.#.#.#.#.#.#.######.#.##..##.#.........#..##.#######.#.#.##.#...##..#...##.......##.#..#.#...##.#.#.##.##....#########.#####...####.#.....#.##.###.#..###.##.###.#..#.......##.#...#.#.##.#.#.#.#.####.#.#.###.#...#.##########.#.#.........######..#.#..##.#.###.#.###..##........####.#.###.#.#.#.##.....##...#....##....###...............#.#.#######...######.#######.###.#.###.#.##############.####.####
#.###..#..#####.####.####.##..##....##.#####.#.##.#####.#.#.#..#####.#.#.##.##########..#.######.#.##.........#.....#.###.##..####.#.#.....##..#.###..#.###..#.#.#.######...#.#.#.#####.###############..#.##.#####.........##.#.#.#....#..........###.#.#.............#.###.####....#####.#####.#.#.###....##...#.###..#.#####.#.#####.#######.#############.#.########............##.##.##......#####.##.#.....######....###.##.##.##......#...................###.#...#.#.###.##.............##.###.##.##.#.#######.....#..#.#.#.#####.##.#..###.###.#####......#.#####.##.####..#.###..####.############.#..#.#..#.....##.....###...#.###...#.####.#.#.##.##.##.#....#
#.#.##.##..###...#.####...###..###.##...........#.#.#######...##...#.#......#####...##.##.#...........#######...#.###########..........#######.#.####.....#.##.###.###.##.#.#.#.#..#######.......#.##.#.#########.#.###.#.###......#.##.#.#.##.##.###..####.##.##.#.#.####.#..##..#.##..##.....#.###...#.#.####.##...##.#..#..#.#...............###.#.####.#......#.###############.....#..##.#######........######.#####.###...####..##.#.#.#.####.#.#.####.#.#...#.##.####..##....#.#####.#####....#..#....#..##.#.#.###...##......#.########...#####..#.#..########..##.##.###..####.#.###.####.#...##.#####.#.##.#####..#####.#.#.#.#.....#####........#...#....#.#.##
#...#...#.##.###.#..#.###.#.#.##...##.########.##....#.#.#..######...#.####..#.#..####......#######.#.......#.###........##...###.#######.#.##......#.##.###########.#....###.#.#.##.#.#.#.#######....#....#.##.#.#.#.#####.#.######.##...######....#.###.#.##..###.#..###...###.#####.####.#.##...#########.#####.####.##...####.#.##.###.##.#..........#.##.#.#...#.......#.###.#######.###....##.#.###.#####.#.#.#.##....##.###.####..###.#....###.#...##.####.#######.#..####.###.....#....##.#.###...#####..........######.#.##...#.##.#########.#.##.##..#.....##..#..#.#.##..###.#..#.........####.#.#.#.#.##.....##.....#...#####.#.#....##.########.###.##.#.####
###.#.#......#.#.#.##.#...#.#..###.##.#.###.######.#.....##.##.##..#.....###...#.###.#.##.#############.#.######..##.######.###########.#.#.#..#.#########....##.###.#.#####...........#.......##..#####.###........#..#.##.#..###.###..#...#..#########..#..##...###.##...###...#.#.#.#.####.#########.#.#......#.##.###..#..#####.##..##..#.#.#.#.######.####.#.#...#.#####......##.##......##..#....######.#.......###.#..#........##..##.#.##.###.###.##...##.#.#.....#.##.#....#.#.#.####..#.#...#.#.#######.##########....####.#.#.#...#...........#.##.##.#.###..##.##.#.###.#.#.#.##.###.##.##......#.#.#.##.#############.###.####.##.#..#.#.#.###...##.##.#.#..#
#...######.#........#.###.#...##.#.##.#...#..##.##.##.##.#..##..#.######.#.##.##.......##.###.......###.#...##.#####....#.#..##.##....#.#.#...##...........####..#.#.#.#.#.##.###.######.#########.....#.#.#.########.##.#....##.#.##..######.##.....#.##.#####.#..#####.####..#.....#.#.#.##...............######......#####.....#.#..###.##.#####.#.###....##.####.####..##.#######....########...##...##.....###.#...#.#.##.###.##.#####..####...#..##..##.##......#######..##.#.########.#######.######..#.########.#....##....#####.#.###.#####.#####..#....###.##.......#.#..........#...#######.######.#.#.....#.##.##....#........####.##...#.......###...######.#
#.#..##.######.####.#.###.###..#.#..#.#.###.##......#######..##....##.####..#.#..#######....#.##.##...###.#........#.####.#.##.....#.##.....#..#.##.##.###....##.#.#.#.........##..........#.#.#.#.#######.#.......##......#####.#..#.##.##.#....###...##.###.#.##..##.#......###.##........##.#.#.###.##.########.#.##.....#.#.###.##...#.##..#.##.....##.###...#.###.###.##..#.##.#.####......##.###.###..#.#...#.#.########...######...##..#.#.#.##.##########.##.####..##.##..####...........#.#######..##............##..#.#####.#.....#..##.####...#.##.##..##.#..#.#.#.....###.#.##...#..##.#.#...#.##.....#.###..#....#####.#.###.##.####.#...##############.##..#
####.#....#.####....#.#.#.##..##.#.##........##.###..##.##..##..#####...##.####.##.###.####...#####.#..####.#.##.######........#.###.###.#######..##############.#.#...##.#.#######.####.#...#......##.##....#######..######...#...##..#......####.#####......#.###......####...#.##.#.##.######.#.###..#...#....###.##.##.####..####..#######.#..#.#.#......#.#.#.....#.#....##.......###.######....#.....#############.#...#.#..##.#..#####...########.#.#.#.#####......##...##.###..##.#.#.##....#.#.#..###.##################.##..#.###...##..#.##.###..#..##......####.##.############.##.###...#.###..#.##.##.....##.##########..####.....###.#..###.#....##....##.#
##.#.####.....#####.#.#.#..#.##.......##.#####...###..#.#..####.##.#..#.....##.......#....#.#.....###.##.##########.#...#.###.########.#.###.####..#.##...#..#.#.#.#.######..#....###.####.#...####..#....##.##..###.###.#.##.##.####.##.########...#.#..#.#.##..#####################.##...##...#...#.####.#.######..#########.##.###......##...####.#.#.#.#######.####.#.####..###.#......###.########.###...####..#.....#.#.##..#.#.###..########..##.#.........######....####.....#######..##.#.#.#.##.##......##..####.##.##..##.....##.####.#.....##.##.##..#.##....####..###..#.#.##..###.##.##.#...##..#..#.#.#..........#..##.#.#..#.#..##.#.##.#...##.##.####..#
#.....#######.#.........##.#..##.#########...##.##.####.#.#####.#....###.##....#####...#######.#.#######..##.##.#.#.#.############.##..#.#.#...##.##..#.###.##..........####...#####.....#####....####.####...##.......#....#.##...#.....##.#.#...#.....########...............#.##.###########.###.##....#........##..##.#.#.#.#....##.########...##.###.#...#.##....##........#######.#.#...#....#####.....#....##.#.###########...#.#.#.##..#..#..##..#.#######.##.####.####.###.#..#.#.###.######.#.#...##.#####..##.....#.#..###.##.#####.##.#.######.....########.####.####.#.##.#.######..........#....##.####.##.#.###.#...#####...#############...######...#.##.#
#.###...##......##.#.##......###......#.#..###.......##.#...##....####.###..##.##.####.##.##.###.......#.##..##...#.#.##.##..#.#.#.###.#.#...#..####.##...#.##.###.#.##.#..##.####.#.######.########.#.######....#.#.#...##......###.#####......#.#####.#....#.##.##.#.###.#####..#.#.#.####.####.#.##.##.#.#.####..##........#.#.#####......###.#..#...###.###.##.#.##..#.####.....#.#######...####.#.########.#......###...##.######...#..##...##.##..##.##.######.....#......###.#.##.....###.#.##.#...###....####.###.####.#.###...####.##..#.#.##.#.#.###...#....####.#.###.....#...#.##...##.##.#.###.######.#...#.#...####.###.##.####..#.#.#.#...#..##.#..###.#..#
#######..##.##.##..#.#..####.#.##.###.....##...##.####....###..#.#####.####.##.......#.........#.##.####.##.##..###.#.....#.##.#.#..##.#.#.####..##...#.###......###..###.##.........##.#.#.#.....#.........#.#.####.#.#######.#.....#.....####.#....####.####.###############.##.............###.###..##.#.#....####..#.##.###.......##.#.###.##############......#....##..#########..#.#.#########..........#.#.#.####.#.###..#.#.##.###.##..###...##..........####.#######.###.######.######..#.##.###.#.#.####.#...##..........##.###.#.#..##...##.......#.###.######..#.#.##.#.##.###..##.#####..#####...#.#..##.####.#.##.###.......#.##.#.#.#.#.####..#.#.##...#.##
###.##..######.##########.#....##.#.#######..#######.####.#.#.#####..#.#.####..##.#.##.#####.#.######.#........####.#.#####.#..#.#.##.........##....#.......###.#####.##...###.###.#....#.....#####.##.####.#.#...####......#####.##...##.#######.####....#.....#####..#.###....##.#########.##.#.####..#.###.##...##.##.##..###.##.########.#.##.##.#.#....##.#.#####.####.#..#.#.##.##......##.....###.#.##########.##.#.#.##.#.#.##..##..##...##.###.##########.##.....###.......##.#.#.###..##.#..#...#.#....#.#.###..##########..........##..####.#######.....##.#.##.#......####.#.##.#......##...##..###...##.....#.#.....#..#.###..............#..##........#....#
#....##.##.#.#.#.##.......##.###.....##...##...#.#.#..#.#.......#.##........#######..#..####.####.##..#.#####.###........##.#.##....#.##.#.##..#.#####.#.##...#....####..#...#...#.#.####.#####......#....#######....##.#.###...####.#..#.......####...#.##.#####.##..##.#.#.####..###########.......#.#####...#.#######..##..##..#####.#..#.#.#..##.....####..#...###...####.##.........####....#########.#..####.#..##.#...........#.##..##..###........#.##.###.#..#.#...###.######.......#.##..##.##.##.#.####.#.###.##..........###.######..####...#....#.#.#.......#.#.#######..........#.##.##.#..##.....#..#########.#.#.#.####.##.##.#.######...####.#.########.#
##.###..##.#.#.#..#####.#..#.#...##.##..###..###...#.##.#.#.#.###..#.########...###.###....#..##...##.......#.#.####.#####.......##....#####..######.###.##.######......##.#.##.####...#........###.####.#####..#.###########.####.###.###.#.##..#...#####....#.#.#..###.#.#......##........##.#########.#.###.####.##.#########.###....#.##.#.#.###.#####.#..##.#...#.#.#.......######.##.###.#........####.##.#..##.##.#.###.##.##....##.##.##.#.########..#.#.#.#.##############..##.######.##.##..##.......##...........#.#.###########.####......#...################.#.#.#.#.#.####.#.###..###..##..##.##.#.####..######.###.#.##.##########..##.####.###.......##.#
#..#.##..#.#.####.#...####.#...#..####.##.##.....#...#....#####.##.........##.###.#######.###..##.##..#######.#..##...#.#..#####..#.##.....##...##....##..#...###################....#...#.##.#...#...#####.#..##...##..###....#...##...##.#..#.##.###..###.###.#.#.###......#.####..########..###...###.#..##..........#.#..#.###.##.###..#.......#.........######.######.##.##......#......####.#######.##.#....##...#...##########.#..#.##.#.......#..##.##.#...#...#.#..#.##....##...#...#.#...##.##.#.#.#..##.#####.####.#.#.##.#..#...#.#..#.##.###..##.#..#######................#.######..###.##############.##..#.######.........#.##.##..######.#...###.#.#.##.#
##...###......#.#.###.##.....####.##.#.#..##.###.#.#...#####.##....###.#.#.##...#..#.#.#######.##..#.##.##.####.##..###.#.####.#######.#####..#....##..#.##.#.........##.....#..###.##.###..#.##.##.#...#.#.#.###.###..##.#.####.################....##..##.#.#.#.....##.##########.##.#.##.#.##.#.#...#.#.###.########.#...##...#.##.#.##...#######.#########.#########....########.####.#####.####....#.##...#######...#...###.#.#######.##.#.#######.###.##...###.###...##....#####.###.###.#.####....#.#.##.......##...######......##.###.#.##########..#...##.......##.##.#####.#.#####...##...###.###.#..#.#.#.###.#...##...#########....##.##.##.....###########..#
###.##...#.##.#.#.##...#####.#.####..#.#.###..#######.##.#.#.##.##########....###.##.#...#.##..###.#..#..#..##...#.##.#............##......######.###################....#####.##.###....#.############.....#.#.###.##.##...#..#.#.......###...###.####.##..#.....##.###.#.##.##..#............#...#.#.......#.##....####.#.###.##.#.......###..#.#.......####.#.#.#.#.###.####.######.######.#..#.##.###..#.###.####..####.##.#.#.#.#.#.#.##......#......#.##.###....#..####.####.#.#......##....#...##.#.#####.#.#####.#.#.#.##.##.#............#.###.###...####.#######..##..#..###...##..#####.####.#.#.##.#......#....#..###...........#####.......######...#.####.##
#......#.#.#.........#.......#..##..##.#..#..##.###.####..........#.....###.#..........#....##..##...##.##.##..###......#.########..##.#####....#....##.#.###......#####..###...#...###.##...##.##...##.##.##....##.#.....###.##...#######.##.##.#.##.#.###...#.#..###.........##...########.###.###.#########....##.#.#..#..#..##...##########.#...#######..#.#.#.#.#..##...............##.....##.##...##.#.###..##..########.#...#.#........#.#.##.######........##...###.#.#..#.....#.#####.####.##########.#.#...#.###........##.#.#.##########.......#####.#...#######.#####.####.#....##.#####........##...######.########..###########.##..#####.#.##.##.##..#.####
##.#.#.######.############.#...##..##....##.###..#..##.#.###.##.#...#.###.####.####.#.########.####.##...#....###..#.#.##.......##.##...####.#####.#........###.####...#.##.##.##.###.#########..#.###..##.#..##......###...#.#..###.#.##.....##.#....#.....###.##.##..##.#.#####.#.......##.......#.#.....###.##..###.#.#####.####.##.#.###.##.#.####.##.#.##.#...#...##..################.#####..##.####.....#.##..##..#.#.#.#.###.#.########.#...........#.########.##.#.....##.#######.#.#.#.....#.....#.#.###.#.....#.##.#.#.####.#...####.....###.#.....#...#......####......#.######.....########.####..####........###.##..##..###.##.###..#.####.....#..##....#.#
#..#.#.##.#.#####.#.#.######.#..##.#..##......##...###.#...#..#.##.#####.....####.#####.##.#.####.#.###.##.####.#.###################.#.........#####.###.####..#..#.#####.............#.##.#.##.#.###.##....####.#.#####.###.#.###.....###.####...####.###..##..####.###.#.......#.#.#################.##...###..##.....##..#.##.#....#................#.#.#....###.###..##.#...##.#.#.##...#.#..##...#.#.#####.###..##.#.#.#.#.#.#.#......#####.#.##.#.#.##...###.#..##...######.#....##.#.....###...#####....##.#.########.###..#####.#......#.#..########...######.###.#..#.##.....####.###..#.##.##....##.##.##.#.#.###.#....##..##..........##.#.##.#####.###.####.#
#.######.....#............#..##......##..#.##.##.###.#...####.######.##..######.#.............##......#.#...#.#......##.##........#.#####.#.#####...#..#####.#.##.##.#.##..#.####.#.#.##..#.#.#......#..####....#.#...#.####....#.#.#####.#.###..#..#.#...#########...#.#####.##.####..#.#.###....#.##...##.#########.##..##.#.##.###.##.####.#.#########.....#.##.#.###.##....#..#.#......#.#.#.##..###....##.#.#.#.##....#...........####...###.#..#.#.#.##.#.#...#####.###..#.#.#.####....#.#...#.####....##..#.#...#####....##....##.##.#.#.#.##.....####.#..#..####.....####..#.#....#.######.##.#..#####.##....###...#.#.######..##.#.#####.##.#.......##...#..###.#
#.#.#.######...#.#.##.#.#...##..#.#.####.#.##....#.....#....#####.##..#.###.#.#.#.#.##.####.#.###.#.#.....#.....######..##.######......##.#.....#.###.##.#.#.#....#.......####..#.#.####.##.#.#.###########..######.#...###..##.....###.#.......###.....####......###.......#..#...###.#.......####....#..###..#.#.####..##....#..###.#.....###...#.#.#.#.#####.##.#.#......##.##.....#.#.####....##.....##..#.#.#...#..####.#########...####...###.##.#.######...#.#.#.#.##..##.#.#......####.#.###.##.#.######.#####...#.####.##.####...#.#######..#.#....####...##.#..#.#....##.#.##.#####.##.#.##.##.....#.#..######.#......#.#.#.##..#.....###....#######..###.##.#.#
#.#..........#.#.#.##.#.##.##..##.#....###..#.#.##.############...##.##.#.#...#.#.###..##.#####.#.#####.#####.#..#...#.##..#....#.#######.##.####.#.####.....#.####.#####.#.##.#######.#.#......##.#....#.######.#####.##.##.#####.##.#.#.#.#############.#..#######..##.#.##.##.#..##...##.#####.#.#####..###........##..##.###.##.....#.#..###.##.#.#.#.#######......##.#..#####.#.#######...####..##.####.#.....#.#.###.#.##....###.#....#.#..##.#######..##.#####.#...##.##......##.#...####.#####..#..########.######....#.##....##.##.......#.##.#######.###......##.###############.##..#......##.#####.#.##....####.#.#.....#....##.###..##.#.####.#.##.....##.#.#
############.#.#.#.####.#..##.###.#.##.##..##.#.....##.##.###.##.###........#......###.##..#.#..#....#############.###.###...########...####........##...#####..#.#.#...#......#..##.#.#...####..#...####.........##.###..##.#.#.###..#...#.######.##..##...##.##.#..#####..####.#.#####..#.............####.#.##########..#.#.#.###.#######...###..#..........#..##.#..#.##..##.#####.#.#.##.###.##.#####.#####.#####.#.#......##...###.#.##.#.##...###....##.....##.###.#...##.#####..###..###....##.##.##.##.#.#.#....#.#######.#####..##.######..#..##......###.#.######..##.#####.##...##.#.#######...#.#......#####.#####.#.#...#.#####.#####.####.#.#.#..#####..#.#
###.##.......###.#.#....##..#.#.#.#.####..#####.#.#.....#.#.#.##.#.#.####.#.######..##.##.##.##...####.##.#..#..........#..###.#.##.#.####.####.########.#.#.#.##.#...#.#.#.####.##......#....##...#...#..#.#.#.###...###.#.......##.##.#####...#.....###.#.....#.#.###.######.######..##.##.#.########..#.........##.#.##...#.............#.#...##...########.#.############..#.##........##.##......###...#.#.....##.....#.##..#.###################.##.####.######.##....###......#.#######.######.........#.......####....##.#####.################....####..##.#...#.###..#.#.#.#.#..#.#.....#.#.#..###.#.######...#.##.###############....#.#.##.#.#...#.#######...#
#....###.#.#..##.#.##.#####.#...###....##...##..#.#.###................#######...##..###........###.........##.#####.##...##.....#..........###..##.#.#..#..........##########...##.#######.#####.####...####.#...###.#.#.#.########..#...##..#...###.....#.#####.#.#.#...###..##.#.#.########.####..#####.##########.#..##.##.######.#########.##..#..##.#.####....#.##.#..##......########.....###.##.##.##.#.#####..###########..##.##.##.#.#.#.###..#.##.####..#...##.#.....#.####.##..#.#.##.#...###.#####.########.#.####...##.#.##.#.#......###..#.########..#.#....###.......#...#####.####.#.##...........##.###.#.......###..#.##..####.#.##.#.#.###.##...####.#
####.....####.##.#######.##.##.##...#.####.##..##.#...##.#.#.#.#.#.###...#.#.#.#####..#..#.#.##.....##.##.#......#######.##..#.#.#.##########.####....##...#.#.#.#.###.###.##..###........#.....###########...#####.#.#.....###.##.#.##.#####.#######.#########.#.#.#...#...##..#...........##......##.###.###.#.#.#..#.###....###.##...#.#######..##.###.#.#.#..##.#......###########..##...#.#.#####..##.##....##.##...........##..#..#.##.......#.##.......#.##.#.###..#########..#####..........###########.#.##............####..........####...####.##....###.#.##.#.....#####.#.###.#.#.##.#.#..#.#####.#.#.....##...#######.#.##..#.##.#............#...#.###.##.#
#####.#.##.....####.##.#.#...#.##.#.###.#...####..#.######.#.#.#.#...#.#...........##...####.####.#.#######.#.##......##....######.......#.#...####.####.#####.#####....#...#.##.#.####.#.##.#.###.#.####.#######.......###..............##.#..#....#.###..##.#.#...#.#######..##.#.#.#.###..#.##.#..#.#.#...#.#.#.#.##.#.##.###....#.#.#..#.#.###.####.#.......###...##.###.###.#.#.##....#######..###..#..##.####.#..#.##.#.##..##...##.#..###.#......##.##.........##.###.#.#.#..###..#.########...#.##...........###.###.##......##.###.#....#####.#.....##..##.###..##.####...###................##.#############..#.###..#.#.......##.##.#.###.##.###.#.#....##.##.#
#.....#.##.##.###...#......#.###..#.....##.##....##.....###########.####.############.#....###.####....##...#..##.###..##.#.#.#.#..#######...###.#...##.....##.......#.##.###.##....#.########............#.###...#.#.#...#.#.##.####.##......##.######.##....#...###..#.#####.#..##########.#########.....#............#.##.....#.#######...#.#.....##.#.###.###.###..###.....#.....#..##...####..##.##.#.##..##.#...##..###########.##..#.######.#.########.##.#.#.###.........#.##.##.........##.#......#.####.#########...#.##.#..#..##.##.#.......##.##..#.###...##.#.......####..##.#.#.#.#######.......#....####....##.##.#.#######..#......####...#...####..#.#..#
####.##.####..##..#...##.###...##.#.###..#..####.##.#.#....##..##......#.......#.##.##########....####..##.##.###...#.##..#.......##.#.#...#.......#####.#######.#.#####.........##.......#.##.#.##.#.#####...#.###########.#.##....###..##.#....#.####.##.####.###.##...#..##...###..###..#....##.###.##.##########.####....########..##..###...#.#.#..#...#####..###..##.###...#####.#######.#..##..##......##....########.#.##.#######........###.#....#.######.#.....#.#.###....#..##.##.#.#..####.##.#######.......#.########.#.#########.#.#.#####...##.#...#.#..###.#.#.#......#########.........#.#####.####..##.###..##....####...##.#######.#.#.#.#....####...##
###..##.#.##.####.#.#.#...##.###..#...#.###...##.#..#.#.##....####.#.#########....#...###......##....##..#######..###..##.##.##.#....#...############.#.......####.##....######.######.####..#.#.#######....###....#.########.##.##...##..#.####....#.#.##.##.#.#......###.###.####..##...###.####.#.#.####.##..##.#########......#.##.##.##.#.########...###...##.#.####...##.###.........#.#.#.####.#..#.##....##....###.#.......#.#.#..#.#.#.######.##....##.########.#.#..##.#.##.###.#######..#.###........##.#.#.##........#.#....##...########.###.##..#.#####.######.#.###.#.##.......##.#.##.#.#....#...##..########..#.##....#.###..........#.###########.###..#
#...#####......######.##.##....##.#.###...#.#.####.####..###.##.##.#.......########.###...#######.####..###....#.###..###.##..####.###.###.##....###....#######..#....#####...###..#####..##.#####.#.#...####.#.####..#.....###...#.#..##.#..######.............#.###.###.........##.##.####..##.........#...##.....##..#.#..######....##...........##..#...##.###....##..#.##...##.##.#####.#.#..#.#...######.#.##.####.#...#######.....#########..##..#.##......#.########.########.#.#.......##...###.#.#######.#.####.#.#.###########..#............#..##.#...###.##.....#######....#####..#.#..#.###.##...#..#.##..##.##.##.#####.#.#...#.##.###########..#.#..#.#.##
##.###.####.####......##..##.#..#.#..##.#.#.#..##....###..##....##.#.#.#.#.....###....##.####...####.#####..#.##...##.##..##.###.####...#.....####...####.#.....##.#.##...###..#..##...#.###...##......#...........##...#########.###.###.#.##.#####.##.##.#.##....#####..#########...#..#.#######.##.####.###..#.#####.#.##....#...##.##.####.#.####..##.###......#.####.########...#####.#.#...##.##.##.#.#######.####.#.#..##.###.#######.#.##..##..####..#.####.......#########...#.#.#####..#.#...#.#.......###..#.#.#####...#.......####.#.##.##.#####..#.#...######.#...#.####.#.....#######.#...#####.###......##............#.....#.#.##....#.##.#.##.#.#.##....#
##.##...#...##.###.##..##..####.#.##.##.######..##.###.#.##..##.##.###.#.#.#.###.#.#####......#..##...##.#.#######..#####.##..........#...#.#..#.#.#........###.####....###.#.##.###.###.#...####.########.#.#####....###.#...###...#...#.#........#.#####.#####.#...#.#.##.##...##.###.##...##.#...###.#...##.########.#.##.####.#######...######.##.##....#.#.######.#...#..###..#####.#...##.##..##.#..........#........##.........###.#..#.#..##..##.###.###..##.######.#.##.#..#........###########.##.##.#...##......#.##.###.#.#####..#.##############.#.#.#####.#..#.#.....#####.#########..#.#.##.####.#.#.######.##.###.##.#.##.######..##..................#.##
#..####.###.#....###..####.##.###.##.##..#.##..##...##.#####.#####...#.#.#.#..........#..#.#.###.#..###..........#####.##..###.#.##.#.########.....####.#.#####....#.#.###..#.#.......#..#.###.#.........#.##########...#...#...#.#.#.#.#.#.#.#.#.####.#.#....####.#.....#.....###..#......###..#.#.......####.#.#..##.......###..#.#.##..###.#.#..##.#####...#..###...##.##.##...####.#...###...##.##...######.#.#.#.#.#.###.#.#.##.##.#.#.##.#.##..##....#####.##..##.#.#.#......###.#.#.#...........#.#...#.#######.###........#.#######.##..#.###.#.#...#.#.#.....#.#.##.#.#.#....##.......#.##.#.#......##...#..#.#....#...#..#.#..###.#.###..###.#.#.####.#.#####..#
#.##......######..###.##........#.##..##....#.##..#......##......#.###.#####.#.##.###...###########.#.##.###.#######....#.####.#..###......#.###.#....###.....#.##.#####.##.#.#.##.####.##.......#.#######..........#.#...#######.#######.#####.#........######.####.#.###.#####.##.#.######.##.#.####.#.###.#.#.#.##..#.#.#.....##......###....##.....#####.##.##.##.##......#.####.#...######.##..##.####.#####.#.#.#.#.##..#.#..#.##......#......####.#####....##..........###.##.#######.########.#####.#####..##..###.####.#....#....#.#####.........#######.#.#...#.#..#.#.#.########.##....#.#.#.##.######.##.....#.###.########.........#.####.###.######.....#.##
#.#####.#..#...#.##....##.#.#.#.#.##.##..######..###.#####..#.#.##..##...#####..#...##.####.#.#.#.#.#.##...#####.#.#.##.#....#.##...#.##.###.###.##.########.##..####.#..##.#....####.#..#.###.#.#.....###.##.#.#.#####.#.......####.#.##...#####.###.##......#....###.................###.........#######.#...#....##.###########..##.#...#.####..#.#.....#..#....##.##.######.#.#....#...#.#..###.##...#......#.#######..#.####.##....######.######.#........####..##.##.#.##...........##.......###########..#.####...#....####.#...#.##.#.###.##.#.#####.#.####.#.###.##.#.###........######.####.#.##.###.#...##.#.##...#........#.####.#.##..#.#####....############
###.#.#.##...#......#.#####.#.#####...##......##..##..##.####.#..##.###.##.....###.###.#.#...............#..##.#......#####.############.###.#...####.#.####.######.....##....#####...#.##...#######.#...#..#####....#####.####.##......#.#....##..####..##.#...##...#.##.#.#.##.###.###.#.#########..#.#..#.###.####...#..........######.##....#.##########.##.#.###.....#####.....########.##........#...#.#######....##.#...##..#.#.##.##...#....#.#.######.#.##.#############.##.###.####.#.####.#.#.#.#.##.#...##.####.####.###.#####......#..###...........####...#.##.#..###.########..####.##.###....#.##.##..#..##.##.#.#.#.##....###..##.......##.#....#####.#.#
###.#.######.#.#.#.##.#..##.#....###.####.#.#####.###.......#.##.####.#####.#.###..##......###.##.#.##.#######...####..######.##.#.#.#.#...#.###...#.......#..##..##.#####.######.###...#..#..#.#.####################.#.###.####..#.##.#.#.#.####....##.#########.#.#..#.#.#.##..##..##.............##.##............#...##.#.#.#.....##....####...#......#.##.#.#...#.#.......#.#####.#.##.#..#.#.#.###.##.##..#...#############.#.####.#..#...####.#...#..###.......##.#.#.#.###....###.##.#.................#.####....#......######.####.####.################.####.#..####...#....#.....##.....#.##..##...######.#################.##...##..##.######..#.##.........#
#......##....#.###.##.##....####..##..##..#....##.#...###.#.#..#...#...#.#..#.#.##.##.#.####.########.....#....#....##..#.###..........#.#...##..#...########..#.##...#.#.............#...###.......#.....#.#.#....#...#......##..##..###.#.#..##..####....#.###.#####.##########..##....##.#.########...##.######.#####.#####.#.###.#.##.#.##....#...#############.###.#.###.#######.#........####.###.###.....##.####.#.#.#.#.########..#.##.###.##...###.####.########.........##.#......###.##.############......#.#.##.######.###.............#.######.##.###.#.#####.#....#.#.##...#.#....##.##..##..#.#....##....##.##.#.#.#.#.######.###.##......####..##.#.###.##
######.##.##.#..##..#####.#....####..####.#.#.#######.#######.##.#.#.###.##.#....####.#.###......#.###.####.#####.#######.#.#.###.#.#.##.###.##.##.#####.#..####.##.#.....###.####.#.######.#####.#...#.#.#.#.#.####.###.######..########.###.####....##.#..........##.......##.##.#..#.########..##...####..#########.#..#.####...#.#..#.####.#.#######.#.##...##....#.#.##............###########.......##.##.##.###............#.#..##....#......#.#####..#.#..........#############.#.#..##.##..........####.#.#.#.###.............#######.###.............#.#.....#.####.###.#..##.####.#.##...####..##.#.##..##.#.....#.#........#.##....#.##.####..######..#...#..#
#..........###.##..###.##.##.#....##..#.#.#.#...##.........##.##.#.......#####.#....###.....###.##...#.......##.#.#.#.###.......#.#####..#####..##..#......##.....#.###.#...#.####.#.....##..##.####.####.#......##...##.#.##.##.#.##.#.########...#####.#.##.##.######.######..####.####.##.#...#####.###..##.........####.#.########.##..##..#.....#......##.##..#.##.#.###.#.#########.##...##.################.#.##.##.########.#.###.#####.###.........##...#####.##......##.#.#.###.#.##...#.##.##.##....#.###.#...##.##.###.#.###.....#...##.#.####.#####.#.#####..##...####.###...######..#..####.####..#.##..###.#.....###.##....##.#.#.#.....##......####.####.#
#.#####.#.##...##.##.......###.##.##.##...###.#.##.#.##.#####.#..##.#.##.#.##..#.#.###..#.#######..####.####....###.......#.#.#.#..#.#####...######...#.#.#####.###..##.#.#.#....###########.....#.########.###.##..#....................#...#.##.####.#####...#...##.###.##.#.##.######.......###.#.#...##....####.##......#.......######....####.#...#.#####....#########.#.#.....#.#.#.#..###.....###.......#........##.....#.#..........#.#..#####.##.#....#.....#..####.#....#.#...#.######.###...#..#.#.#########.##...#...###.....#######.####..######..#.......#.#####...##...##.##.#.######...##.#.##.######...####.##...#..####.##.###.###.####.#.##....#...##.#
###.....#.####.##..###.#.#..##..#..#.##.#...###.##.#.##.#.#.####..#.#..#....##.#.#.#.####.....##..##.####..##.#####.###.#.#.#.####....#.##.###.#..##.####.##.#...###..########.#....######.#.###....#.#.##...##....#############.#########.###..#.##....#.###.##.#..#......#.......##.#..#####.......#.###..###############...#######.#.##.#.##.####.#####.#.#.##...#.##....####.##.........##.##.####.#.#######.#.########.####...#####.####.##...########.#.##.#.###.########.###...###..##.##..###.###.#####.#.....###..###.######.##.......#..######..#.##.#.#.##.##.....#.####.#.##.......#.#.##.###....###.#.###.###.#..##.###..######...#.##.....#.#..#.#.##.#.#..#
#####.#.#.#.....##..##.#.##..#.###.###..#.#...#.##.####......##..##.#.###.####.###.#....#####..##.##.#.##.#######.#...###.#.#########............##....##..#.##.##.#.###.#.########............#.####.#.##.#########.#.#.##.#.#####.....##.##..##.##.####.#.####.####.######.########...#######.######.#.##...#....##....##.#...........##.#......##............###......#.###.###..##.#.##........#.#.........#.####.....#.##.###.....#...#...#####.###..############........#.#.#.#...#####..##...#..##.##.#....#.##############.######.##.#.#.##...###.#......#..#....#######..#.#.##.#.#####.#..#.#...#.####.#.#.#...#.#####..#####....###.#####.#.#####.#.#########.#
#.....#.###.##.##..###.###..####.#...##.#.##.##.#..##...########.####.#.#....#.##....#########.........#..........#.#####.#..##.#.########.#.##.######..##...##.#...........#.#...#.#.#####.#.####.##....#.#########.#.#........#.#.######.##.#####....##......#..##....##.#..##.###..####....####.#.#.#.##.#...#####.##..####.#.#.#.##.####.#.##..#.##.#.#.#.#...#.#.##.#.......##..#.###..###.##.....#.#######..#.#.#######...##.##.####...#..###......##..##.#.##.############...#.####.#..####.##.##.....##.#####...#.....##.#.#.##.###########.###.#...#######.#.##....#.#..######..#.....#...####.#.#..........#.#.......##.......######..#..###.....###.......#.#.#
#.#.#.#####.##.###...#.#...##.##...####.#.##.##.##.##.#....#.#.#....#...#.#.##..##.#...##....##.#.####...######.#.....#.####.##..........#.#..#.#.###..#####......#.######.##...#.#.#.....###..###..#.##.....##..........#.####.....#..##...#.#.##..##....###.#####..#####.#.##......##.#..####..#.#........######.#...##....###.###..#...##.#..#.##.##.#####.#.#######..#.#.#.#.##.##.####...####.########.#.###.....#.##.####.....###.###.##.##.#.###.####..................##..#####......##..######..#.#.......##.###.###.#..........#....#.#.#.......####.############.....##....####.#.#...#....###.#.##.#.#.#.###.#####..#.#########..####.##...#.#...##.######.###
#.###.#......#..###.######.##.####.##.#.#..#..#.##.#######.....#.#.##.##############.#....#.#####....#.#.###.##########...####..##.#.##########.....##.....#.#.####......#....#####.##########...#.##.###.#.###.########.#.#####.##...####.##.#..#.####.########..##...#.#...##.##.###....###.##.....#.#.##..#.#.#.#.#######..##.####.#.#..###.####..##..#.##.#..#.#.###.#####.#.##.####..#.#....###.##.#......##.#####.....###.###.##....#..#.......#######.##############.#.##.###.####.#####.############.#.###.........####.#.#.##.#...##.......#.#.#........##..#.###..#.###..#.###...###.####.#...#.#.##.#.#.####......#.####.####..#.###....###.#.#.###...........#
#...#.##.##.###.#.#...#.##....#.##....###.#####.##.#...###.#####.#.#.....#.#.##.#.#..##.###....##.####.#.......#.####.#.###.###..#####...##.####.##.##.#######....#.##.###.#.###.#######.#..####.......#######........####.....#.##.####........##....#......#.##.#..###.#.###...#.....#.##.#....#####.#####...............#.###...##.########....#.####....####......#####.####..#......#####.#..........#.####...#.#..###.......#....########.######.#.##......###......#####.......#.#.#........##.#.#.########.##.######.##.#########.########.##.#.#.#.#.##..##.....#######..####...#..##....#########..#.#.#....#.##.#.#...#.......##.#.#.####.###.#######.##.######
#.#.####.##...###...###....##...##.##...#.#.###.##.#.#.......#.######.##..........#.##....######.....###########....#...#.#.....####...####...##########.#..####.##..#######......###..#.#.##.###.####..##.#.#.########..#.#.#####.....##.#####.##.#######.###.#....###......##.##########....##...######.###.#####.##.########..#..#......#.###.####.#..##..#.##.#.#...#.#..##..###.#.#...##..###.#.###.####.#..#.....##############.####.########.........#.##.....###.###.#..#####.#.#.#.####.#.##...#........#..#......#.##..#.#...#######.#####..#.#####.#..####.######.#.#.##.####.##.##.#####.#...##.##.#.#.####.##.#.###...###.#........#.##..#####...####....##.#
#.#.##...##.#...###...##.#..##.##..##.###.#.#.#.##.#.####.##.......##.###.############.#.###...##.#.###.##.#####.####.###...##.###.##.###.#.###.#.###.##.#.##.#########....#.######.##.#.#..#..####.###.........##......######..###.####......####...#.#####.#.###.##.#.###.##.........##..#########.##.#...###.#.####.....##.####.##.#.##....##..###.##..##...####.#.###.#.####...#.#.#.#..##...#.#...#...#....###.#.###.##........####.....#.#..##.######.####.#.#..####.#...########.#....#######..###.########.####.##....##.#.#.###.#.##....###.#####.#####.............#.#.##....#######.....#...#########.#...##..#.###...#...###.#.#.##......##.##..#....######..#
#.#.#..###..#.###...#.#..##..#.###.#...##.....#.##.###.....#.#.#####..#...........##...#.....#.##.####.........#..........#.####.#.##.#.#.#.#.......#.............##.#..#######.#.#.##.#...##.##.#....##.#.####..#.######.#.#..##.#..#.##.#####....###...##..#..##..#.#.#.####.##########.###.#.####......####.....#.#####.......#..###..##.#.#####.#..#######..#####..##......##.########.##..#.#.##.##.#...#.##.#.###.#....##.#######..#.###.#.##.......####.######........####....##...##....#.###............###.######.#..#.#....##...##.#.##.######.....##.#############.#..#.####...#.#######.###.####....#.###..##...##.##.#...#.#.#..##.#.#.......###.###.##...##
#.#.##.##..##...##.#####.#..##..##.###..#.#.######...##.#.##.#.....######.#.#.###.##.#.##.####.#####.##.####.#...#.##.#.###..##...........#...##.##...##.####.#####..#.####.#.#......#.#.####....#.####..#....##..........#...##..##....#...####.###...###..##.####.#......##......................#.####......#####..#.#####.#.##.####.#######.#.#...##..#.###.....##....#.####....#..###########.##..#.#.#.#....####....#.###.......#.######....#.#########......##.##########..##..#.#..######.#.#.#.###########...########.#...#####.###..#.....#.#...##.##................#.##....###......#.........#.######...####..##########.#######.#..#.#.#.#.#...#...#.#..#..#
#.#..#####.#..#..#.#.....##..##..###...##.#..#.#.#####..#..#.#.###..##.#..#.#...#..###..#.####.#...........#.#.#.#..###...##....####.#.#.##.#########..#.#######.###....#.......#.#.##.#.#....####.#.###.#######.#.######...#####.#######.###.#....#.###.##.##.##.#.#.##.###..#######.##.###.#.#.#....#.####.#...##..##.#.#.########.....#.#..#.#.#.#####....#########.####..#.###.##.##.##.#...####..##.#.#.#.####....#.##...#.#######.#.##.#.####......##...#########..##.#....####...##...##.#.#.#.####...#....#.###.##.#.####.##.#.#.#...########.#.#.######.##.#.##.#######....####.#.######.##.##.#....##.######.#####.#.#....#.....#.####.#.#.###.#.#.###.....###.#
###.##.....#.##.#####.#.####.###...##.######.......##..##.####..###....#.####.#.##...##.#....#####.##.#.#.#########.#######..##....#.#.#.##.........##.#..........#..##...############.....##..........#..####.#.####.#########.#.#.#...........####...#.##.##.........###.#.###.#.####...##.###.##.#......#.#.#....###............#######...##.#......###.###.#..#..#....##...#.#.#..##......###.###.########....###.############.###..............#######.#####.....##......##....###..#.#...........#...###.####..##.##.#.##.#.#........#............#.#..#.######..#....#.###.###....#..###...#######.##.#...##.##...###.....#.##.#####.##.#####.#####.#...#.#########
#....###.#.###..#.#...#..##...###.##.......###.#.#####.##....##..##.#.##...####.###.##..#.##..##.#..#.#.###.#...##........##.#######.#.#....#########..####.#####...#######.####.#.#.#.##.#####.#.##.#.####....#..........###.#.#.#...###########.##.###..#.#..#######..##.#.#.......###.##....#..#.##.#.#.#.####.#.#...############..####.###..#.###.##.#.#.#.#.##.###.########.###.####.#####.....#.......##.####.#......##..#.#.#.#.###.##.#.#.###.#.........#.#####..###.######...#.####.#.##.####...#...#...###..#..#.#.##.....############.##.#.#####.##...#.##.#######.....###.####.##.##.##.#...#.####.###..##.###.#.#######...........##.####.######.##..###.#.##
####..####..##.##...#.#.##..#...#.####.#.#..####.##.####..##.###..###..#.#...##..######.#..##....#.####.......#.##.##.##.##........########..#......##....#.....##.###.###.......#.#....#.....###########.#.#####.#.#######.#.#.#.#.#####.###.#.#......##.....#########........#.#.#...#.##.#.##.##..#.#.###....###...###...##.##.#..##..#.....##.#####....#..........#..##.##.#..##.#.#....##..#.#.#########.........###.##..##........#############...##.#.#.##...#.#.#######...###.#...##.###....##.#.#####.###.##.#.##.#.##.###.........############.#...##.##..###...#...#.#.....................#.###.##.##..##........#..#.##############....##.#.##.#####........#
#####.#....##..##.#.#.#..####.#####.##.####....#..#.#..##.##...##...#.##.#.#..##...#.#..#####.##.....##.##########..#.######.########.#.####...#######.#.##.#####..........#######...#.##.#####.......#.#......######..#..#.......#.........#.#.#.######..#.#.........#.#.#.#.##.#.#.###..#.#.##.##.##.#####.####...#.....#..#.##...####.##.#####.....####...#######.######.#....##......##....###########..##.##.#.#..##..#.##..#.#.####.#.##.#.##.#.##########..###.#.......#.########.##....#.#.##..####.#....#.#..#..#.#......#####.#.#..........##..##.##.....######.#.#######.#.#########.#.#.######........##..#.#.##...##.#.##.#.#.##.#..####...........###.##.#.#
#..#####.#.##.##..#.#.######.....##.....#.#.#.#####...###..###..#.########.#.##..#...##.....#.##.#.####...####...##.#..##........#.........#.#.......#####.....##.#.##.#.#.##..#.#.##########.##.######.##.#####.#.##.##.##.#######.#######.#......##....#####.###.#.##.#.#.########.####.#.#.##.##.##.....#....##.###.#.#####....####....#.#.#...#####..#.###.....####...#.#.##....#.##.####.##.#.#.......###..#.#.#.######....####.###..................#.#.##.##.#...##.##..........######.####..##..##....####...##.##...#################.#.######.##.....######.##.........#######.###.######.#..#.#.#####.##..##.#..#.#..............#.##..##..###.#.#.#####.##.#.#
##....####.######.#.#.##.#...#.#.####.#...###.......#...#.##...##......###.#..##.#.#.##.#.#.#..###....#.#......#.#######..##.#####.#################.##.###########.##.#.#....##.#.##.#.##.....#........##...###.#...............#........###.######..####.#.#####.#..###.#.....#..#....#.########..##.######.####...######..#.##....##.#...#.#.#####.##....##.######.###.#.#..###########.####......#.###...#.####.#........#.##..#...##.##.#.######.###.............#.##..#####.#.######.####.##.##..###.#####...#.......#...........###.#.######.#.#.##.#####.##.#.##.#.#######.#.#..........#####.##.#.#########.###################.####..##..##...#####.....######.#
####.##.#.....##..###.#....#.#.#.#....#.#...#.##.####.########..#.#.##...###.##..#.#.##.#.#.##.##..##.###.##.#####.#.####.##.#.....###..###.#.##.###.....#.##....##..###.#.##.......#.#.##.#####.#####.###.###.#.#.###.#.#########.#########..#.#.##.####....###.###.########.#...##.################..#####..#..#.#....#.##....##########.##....##.#.##.####.........#.#.#.#.########........#.##.#.#...##.##....###.#.####.#....####.....#.#....###...##.####.##.###################.....#.##..####.##.........#####.#####.###.##.##..#.....#.#........#.##.#..##.#.##.####..........#.#.#.####..##...........##....##.#.##.###...######.##.####.#..####.####.#..##..#.#
#.........##.##..##...#.##.###.#.##.#.#.#.###.##...##...##.#...##.###..#..##..##.#.###..#.########..#...#..#...##.......######.#####.#.##.#........##.####..#.#.##..##...###..#.#.#.#.#.#.........#.####.#.##....#.#.###.#.##.#.#.......#..##.#...........#.##.#.##.......#####.####...#.##.#.##.#..##.....##...#####.###....##.......##.#....####..#.....#.##.#.#.####.............#..######....#.#.#.#..#.##.########....#.##.#..####.#.####.##...#.#..#.####..#........##.....#...##.##......###.######.###.####.##.....#...#.######...#.#.....########....#.##........#...##############......##..##.##########.###.....#.....#.#...##.##..#.#...###.#..########..####
#.##.#.#.##...##.##.#.#.##..##.#..###.#.#...#.###.##..###..###.##...#.#######.##.#...#.##......#.#.##.#######.##..#.#######.##..............##.########.##.##.#####.##.#..##.##.#.#...#.#.#########.#.#.......####.....#..........#.#####.##....##.#.###.##.......##.##.#....#####.###...#.........####.#####.#....##.....##############.#.##..#.##...#.#...#..######.##.#####.##.#.#.########.#.#.########.##......##########..#.##.##.#..#####..#.#.#.##....#.##.###.##....#####.###..#######...#..#.##...##.......########.##..###.#######.#####.###....#.##.##.###.##.#.#####.....#.#.##.#######.###.##....#.##.....#####.#######.###...##.#...###.#.#.##...##.##.####
#.##.#.#.###.##...#####.#..##..##.#...#.#.#.#..##..##...##......##.##...##.##..####.##.##.##.###...##..#.##.###..######.#.#....#.#.###.#.##.##.....#.#...#.....##.#.##.##.##.######.#...................#.#.###.##.#####.########.#..........#.##..#########.####..#.##.##.#.........#.#...#.#######.##.....#.##.#..##.##..##..###.#.##.....##....#.#####.###.###.#.#.#......#..#.#..........###.#....#.######.#.##..........####.....####...###.##.#######.######...#..######.#....#..##.##.######.##.#..#..##.#.###############...........####.##...##.######.....##..#.........#.#......#....###....###..####.#..#####.#.#......#...#..###....#............###..#...#.#
#.##.#.#.#.#.####..#.#..##..##..###.#.###.####.###..##.###.#.##.##..#.#..#..##...##.##..#.##.#####..##.......##.##.#......####.###...#.######..#.#.....#...#.#....#.##..#.##...##...#.#.#.#.###.#.##.##.###............#........#.###.#.#.#.##..##.........#....####.##.##########.###.#####.##....#.###.######..##.##.##.###.##.#....##.##..##.#.......###.......#.#.#.######.#######.#####...###.##......##..#..##.##.##.#...##.#.#..#.##.##.#######.#..#....#.########..###...##...###......##.#.#....########.#.#......#.#.####.#.#.#######.....#..#.##.#.#.#.#..#.#########.##.#.###########.#.#####..###.#...##.....#...######.#.#.##...#.#####.##.####.#.##...#...#
#.#..#####....####.#...##..##..##...#.#...##.#...##..#...#.#.#...####.##...##..#.#..##.#####.#.....##..#.######.#....######......###.#......##.#.##.#.##.#####.######..######.##..#.###.###...###..######...#.###.##########.##########.#.#.#####..#####.#.#.##...#####..........#...#....##....####..##......#.#####..#.......#.#.####..##.#####.##.#####..#####.........####......##.....#.#########.#.#..##.##.#...#.##.#############.##.....#.###....##.##........#.##.....#..#.###.#.####.#..#.#.####.###..###...##.###.....######....##.##.#######........####.#........##.#######.##.#.###...#.##..##.#...#.##.###...#####.##.###....###.....#..########....###.#.#
#.##.#.....##....###.#.###.##.##..#.#.###....#.#.#..##.#.###.#.#...##..##.##..##.##.#......#.###.#..##.#..........#.##......#.#######################..#.##.######.#####.##.#####.####...##.######.....######...#.........##..........###.#.....##.....#.#.###..#..##.####.##.#.###.####.####.####...###.#.#.##...####.###.#.#..........###.....#..#..#....######.#.#.##.##..#.#############.#.#.###.#.#.##..#.####.#.#..#######.#.#.#.#..#.#.#.......#####..##.##.####....#.########.#.#..#####.##..........#.####.########.##.##.#######.##.....##.#.#.###.##....#.#.#.####..#..##.##.....#.#.##.##..#.##....###.##.#.#######.#.#...#..##...#.#####.####...###.#####.###
#######.#.##..##..######....###..######...#.####.##..#.#.##..###.#..#.##..######..####.#####.#...#####.##.####.#.##..###.##.####.#.##.#.#...#.#.#.##..####....##....#.....#.##.......##.##.......##.##..#.###.####.###.######.#######...####.#.##..#.###.#.#######.......#..###.##..#..#..#.####...###.###.########.####...#.#.#.######...#.######.#.##.##......###.####....##....##.#######.#.#.#.#.#######.#....#.#.#.####.............##.#.#.##.##.....#.########.##.#######...##......##.##.....#.###.##.#.##....##.#.....###...#.##.###..###.#....#...###..########....#.###.......#.###.......#.##....####.###.....####.#.#.###...###.#.#....##......#.....##..#.###
###.#...#..#.##..##.##...##..##.##......#.#.#######.####..##...#.#.######..###...###.#....######.....#.##...############.##...............###.#....####.#..#.###.####.#####..#.#.#.###..###.##.####..##.....####.#######.##.......###.#....#######.#...#####.#.#.##.#.#.###...#####...#####.##...#......######.#.#.....##.##.#.#......##.##.....####.....#.######......#.#.####.#..........###.............#.#.##.#####.#....##.#.##.#.#..###.#..#..#.##.#####...###....##.##.#.###..####.......#.#.#...#.##......##......###..###.##.#...#..###....##...######..#....##.#.##.####.###.#########.####.##.####.##..#..#.#....#.#.#.....#...########..#.#.#.######....####.#
#.....#.#.########.....#..##.##..#####.##.#..#.###....##.##..#.###......##...##.##.....##..##..##.##.#.#..#.#.#.#.##.#.###..#.#####.#####.......##.#......##............#.##.#.#.#.####...#.#...#.#.##..#.#......###......#####.#.#.#########....#.######.#.......###.###.##.##...#.######.....##########.#........##.##...######.###.#...#.#.###..#.###############.#.###########.#.#.#.#..#..#.#.#.#.#######.#####..#...##..#.#..#.#.##...###.##.##..###.#.#.###...##.....#.....##.#.#####.##.#.####.####..##.#.##.#.#######..........#...##.#.##..#.###.#..####.####..#.##..#.#...#....#.##...................##.#######.#.....#.###.####.######.#.#.#...######.##.##.#
#.#.#.###.#....##..#.#.##.######...##..#..##.....#.##.##.###.#..##.#.#.##..#.######.#.####..#.##...#.#.##.#........#.#.##..##..#.#########.############.####.##.#.###.###.#..#.###...##.#.###.#.#.#####.#.##.#.#.....##.#.....###....#.#.###..#.#####..#....#.#.#..######.#...##.##..#.#...#.#....##.####.##.#####.##.####..##......#.#.#.###.....##..............##.#.##.#.##.#.##########...##########.##..###.#.#.##.#..#.##.#.##.#.##.#...#..#.###..#..........#.##.#.#.#.###..........#..#.#..#.###..##..#.#..###.......##.#.##.#.####....#######.......#####...#########...##.#######.###.####.#.##.######......#..####.#####...#.......#...#######.#......#....#..#
#.#.#.#.....##.###.#.#.#......###.##..###.##.#.###..######...#.###.#######.#...######....##....##.##.#..###.###.#.##.#.#..####...........#.#.#.##.#..##....#..###...###.#...##.###.#.#..#####.#.......#####..####.#.##..##.##..##.#.##.#...#.####...##...##.#.#.##......#.###.....##.#...###.#.####.............#######..#.####.#.#####.#####.#.#.##.#######.#.#######.#..........#.#.#.#.#####.#.#.#.#.....###.......####.###..#..######.#.#.####...##...#.########..#.#.#.....##.##.#########.##.......###.#####...##.###########..####...##..#....##.##.#.......###...#######..#.#.#.#....##.########....###########.##.#..#####.#.#.#.#.#...#..###.########.###.#...##
#.#.####.#.#####...######.###..##..####...##.#...##.....##.#.#...#....#.##.#.#..##....#.####.###...###.###..##..#..#.....##########.#.#.##..........##..#.######..#..#....#..#...#.###.###..#.##.##.#....###...###########..#########..#.###.#.#..###..#..#####..##.#.#...####.#######.#######......#####.#.##.##.#.##..##...##.#..#.######.#.###.##.......#.#....#.##...#.##.##.##...#...............#.#####...#.######.#####.###......#.#.#....##.##..#.#........##.###.##.########....##.######.##.#.###.....###.##......#.....##..#.##.####...#.##########.###.....###.##.#####.#.#...####.........##.#..........##......##...#########.#.####..#....#.####...###.#..#
#.###....#.#.###.#...##.....##..##..###.#.##.#.####.#.####.#.#.####.#....###########.#####....####..####...####.##...###.#.##....####.#.#..##.##.##....####.#..####.##.####.##.###..##.....##.##..#.##.#...##.##.#.#.#...#.###..##..##...##....#.###..######..#.##..####.##.#####.#.#........#####.##.#.#####...#.#....##..###..####........#...####.#.#.#.#.#.##....##.#####..###..#...#.###.#.#.##.##.#.#.#.###............###.#.#.####.#.#.#.#####..##.##.########...###.........##.#.........########.###.###.####.#.##...#######....###.######..........#..##.#.###.........##.#.#.###....##.###.###.######.#.#.##.#.##....#.##.#....#########...####....############
#..###.#.#.....#.#.#..###.#.##.##..##...#..#.#....#.#....###.#....###.##..#.#.###.#....#.###.##..##...###.##..####.#..##......##....#####.##..########.#......##.####....##.##...##.##.#.#.##..#.##.##.#.#..#..........#####.#.##..##..#####.###...##........##..##.######...##.#.....######....####.....#..#.#.....#.####...##......#####.########..#.#.#########.######.#...####.##########.#.####...........##.#.######.#..##...#.######.#.#.....##.##..#.....##.########.##.#####..##.#.#.##.##..#.#....###.#.##.#.#..###....##...##..#......######.#########..#..###.###########.#.....#.#########.#.....########..######.##....#.####..##.#.######...##........#.###
##...#.###.#.#.###.#.####.########.###.##.####.##.###.#####..#.##..######.......#.###.##..##.###..#.###.#....##....##.##.#############.######........#...#.##.....##..#.#####..#######.###########..#..#.####.#.##.##.####......##..##..#.##...#.###..###.#.#########.#.#..#......#.#......##.#...#..#.#...##.##.#######...#.##.##.#.....#........##.#.#....#.##.####.##..###.......##.#.#..#.#....###.###.#.####.#..#######.###.#.#......######.##.##.##.##.###.....####.#..######.##..#.#.########...#.#.###.......#.#.###..##..##.####...######.####.........#####..#......###.##....#.#.#..#.#...#..#.#.#.....#.##.###.#####..##......##.##.....#..##.####.#.#####...#
#..###.#...#####...#.#........##...#...##.##....#...#.....##.#.###.....####.#.#....##....##....##.......#.#.######..#.##...#......#....#.#.####.#.#.##.#.#..##.##....####...##....##....#.#.###.######.#...##.###...#..#.##.######.###.##.##.###.#...#########.##.##......####.#.##.#.#.#.#####.###.###########....#...#######...#.##.#####.##.#.##..#.#.##.......##.....##...#.###.#......####.##..######.####.####.......###.###.#.##.#....#.#..#.##..#.##...#.#.#......##........##.##.#..##.#.##.###.###...##.#.######...####.##....#.#...........#.#.##.######.####.######.#....#.####.####.#.###.##.#.#.#.#.#....##......##..#.######..##.#####.###.##.#####.#.#.###
##..######.##.##.#.######.##.########.###..##.#.#.#########..###...#.###....#.##.#.##.#.#####.##..#.#####.#..##....##.##.#...####...####.#.#.####################.##......###..####..#.##.........########.##...#.#.##.............................####.####.........#.##....#.############.##.............#.###.#...###.##.###.##.##.##.###########.#.#..#.#.#.#....#.#.###.##...#...##.#....#..##......#.###.....##.##.#......##.#.#..#.####.##.#.##.##.#..#.#.####.##.##..#.######..##.##..........##..####.#############.##.######.##################.##......................#.##...##.##.#....#...###.#.########..#.#############...##........#.#....#..#.#....#...#
###..##.....#.####..##.....###........##..##..#.#.........##...##.######.#.#####.#.#..####....#..##...###.##.#..#.#####..###....###..........#..##.#.##.#.#.#.#.#########...##....####....#.#.#####.#.#..#..#.###.#.##.##.#.###.##.#.####.#.#.##.#..##..#.#..###.##.##..#.##.#...#.#.#.......##.############.#.#.#.#........#.#.##.##.........#.#.####.#.######.##.#######....##.##.####.#.#.##.##..##.#####...############.#.#..###.#.####.##.######..##.##.###..##...#..##.#..#...##..####.##.###.#....##......#.#.#.#.#.#......##............##.#...###########.#.##.#.##.##.###..########....##...##########.#.##..##..##.#####.#.#.###..##.#.#.#...####.##.#.####.###
#.##.##.#.#....##..##..##.###..#####.####.#..##.#.#####.#.##.#.#.......###.....#.#.##.##.###.##.####.##.####.##.#...####...#.#.###..##.###.#...##.......................#####..#.#####.##.#######.#.#...##.##...#.#..#.#..#..#####.#....###.#######..#.##...######################...#.#.##.##.................##########.#...####.##.#.###.#.......##.#.....########.#..####.##..#....############..####.##.#...######.#.###.#.######..##...#.#.#..##.##.##..#######.##.##..##...#####.##.####.#####.#######.####.#.......#.#.##..###.#.##.#####....###.#.##.########..####..########..#.##..#.##..#..##.##.##....###....##...##.........##.########.#............###...#
#....##.#.#.#.####..##.####...###.....##..##.##.#.....###..#.#.##.#.#####..##.##.###.....##...#.#........#.#.##.#.#...##.#.#.###.####....#.#.#....##.#.#######.#.#.#.#.###..######......#..#.##.......#..#.##.###.#.####.###.....#.#.#.##.....#.####......#......#.##.##.#.......##.##.####.####.################.#.#.#######....#.####.#####.###########.#.##.##.#.#...##.##.##.###.#..#.#.#.....##..#.#....#.#...##.#....####.....###....#.......##..##..##.....##...####.##..#..#..#..#....#....##.....#.#.##.#.#.####.#################....##.##..##.#.#.........##....#.###..##.##...#..##.########.....##.####...#####.#....#########...#####...#.#.##.#.#.###.#.###
#.#.##..#.#.#....##.#....##.#.#...#.#####.##.#..#.#.#...##.###..###.....##..#..#...###.#####.##.#.#.#.##...###..###.#..#.#.#........##.#.#.#.#.#.###.#....#.##########...#.##.#.####.#.###......#######.###########...##...#####.#.#.#.##.#.#....##..##.##########.........#.###........#.###.......##.##.....#............##.####.#.......##....#.....##.#...........###..##.##...#.##.#.....#######.....#.######.##.#.##..####.####.#.#.####.#.#######..##..###.#..#####...#####...###...##.##.########.............#.###.###.##.#......##.#.....##........##########.######...##.....#...#####.##.....#.#.##.##...#.......##.####.#...###.##.#.##.###########.##......#
#####..####.#.##.#####.##########.#...##...####.###.##.##..#...##...#.#..##.#.##.#.##.....##.##.#.###..#.#...##..##.######.#.##.##.##..#####.###...###.##....##.#.#.####.........#.###...##.#.###.##########.#..##..###..#....##.#.#.#..#####.####..##.....##......##.###.##...#.##.###.....##.#.##.......###...#.#####.#####....#.#.#.#.#########.#####..#.############..##..##.#.#.##.#.#####.##.###.##.#..##.#####.#.###...####....#.#....#.#####...##..##.##########.#######.#####.##.#########.#######.##.##.#.#....##..#.....#.###.##..##.#.##..########.#......#.....####.#..######.##.##...#.##########..#.########.#######....###.#......##.#.#.##..######.######
#..###..##..######......##........##.####.###....##..#####.##.####.##.##..#.#..######.##.##..##.#.#...##.#####..##.......#.#..#.##..##...###..##.#...#..##.#.#......#.########.#.#..##.#.##.#.........##.#.#.#.####...####.#.#####.#.#.###.#....###..#.#.#....##.#..#..############...###.#.##.#.#..##.######.#.#...###...#.#.########.#..#.##.###...######.........##.##.############...............#.#####......#.#.....###...##.######.#.######.#.########.#..#.###.....#.#.........####..##.##..#....#######..#.#.####..##.#####...###..##############.......############......###...#....####........#.#.#.##.#.##.#.####.##.##.#####.#.####........##.##.##.#.###.##
##.#.#.####.##..##.#.#.####.###.#.##.##.....#.##..#.####.###..##....#.###.#.##...##.#..#####.##.####.###...##..#####.##.##.#.##..##..#.#...#.##..#########.#...#.##.....##########.##..#..#.#.##.#.##............##.#....###....##.#.#.....##.#..##.####.####.##########..#.##.##.#################.##......#.#.###...#.###.####.##.#####..........###.#.###.#.#.##.....#..#.#.##.#.###.#.#####.#.#.##.....###.##.#.#.###########.......#####.##.#.#.##.##..###.##.#.##.####.#.#########..##.##..#.##.##....#.#######......##....##..######..##..##..#...#.#########.#.##..#####.###.#.########.##.########.#.#.#..........#......##.#.#.#......#.####.#.................#
#.......##.....#######....#.#...###..#..##.##.#..##..#.#...##.##.#.##...######.#....#.##.....##.#..#.#.######.##.#...####..#####.##.##.##.######......##...##.####..#.#.......#.#...##.##.#.###..#####.###.#.###.##.#########.######.##.#####.#.##....##..###......####..##.#......#.#...#.##.#.#.#####.#############.#...#.##....#..##.#.#.####.#.#.#.#...###.#####.##...##.#........###.....#####.###.##.########.......#.###...#######..##.##.#.........###..##.#..#..##...........##.##..#..##....##.#.##.....##..##.#.##.######...#.#######....##.###......##......##..#.#...........#.##..##...####...#.#.#.#.#.######.#######.#.#.##.##############.#.#.#.##.######
######.##..##.##..##...#.######..##.###.#..##.#.####.....#.##..#.#.##.#....##..##.###..##.#.######.....##.##..##.###....##.....#######..#......#.##.#..###..#....#.#######.##.....###...#.#.####.##.########...####........##..#.#....#.....#.#..#.##..####.##.###..#.##..#.#.######...#...........#.##........##...#######..#.####.##..#.#....###.......#...#....##.##.#......##.##.#####.#.###.##...#..#.#.##.###.#######.#.##.##.##.###....##.#.##.#.####.##..#.#.##.####.###########.##.##.###.#########..###############.##..##.###..##.#...####...#..#######.#.######.#.##.###.######..#.##..#.#....#.#.#.#.###..####...##.##............#.#....#.########.##......#
#.#....#..##...##....#.#..##....###.#.####.##.#..##..###########.#..#.###.####.##.####..#####.#....#.#.....####......#.##..###.##.##.######.##.#..#.##..###.#.#.##.#.....#..###.#####.#.#.#...##......##.#####....##.#.#######...###.###.######.##########...########..##........#.#.###.#.#.#.#.#....##.########.####..##..##..##.....####.##...##.#.#.##.#.######..##.#.#.#######......###......##.###.###.............##.#.##.....#..##.#####....#####.#..#..##...............#.##..#.##.##.#.#..#..##.#..###..#..##.#.#.#....##...##.##..#.###..##.##.###.##.#.#####.#....##..#####.#.##...#..####.##.###.......##......#.....##.###.#.#.#.....##.....#.#.##.##.##.###
#.###.##.##..#..##.#.#.##.##.##.##..#.......#.##..##.####.#.######.##...#..##..##....##..#.#..###.##.##.##...###.##.##.##.##..........##.##.##.##########.###.###....#.#######......###.#.#.#..#.#.##......####.######......###.####..##.....##...#........#..##...##.###.###.#.##...##############.#..###.##.##.....#.####..#.###.########.##.#..###.####.#......##..#.###.......##.###...#.#.############..##.#.#.######..#....#####.##....##..#####.##.##.#.##..#.##.#.#.#.##....#.##.........#.##.###.#.##.#.##.###...#.#.#######..#.###.#.....###..............##.#.###.###.##.#...#.##.###.##.#...####..#.#.###..##.#.##.#.##....###.###.######.#.#......###..##...#
#......#..####.#######.##.##..#.#..####.#.#.#.#..##............##...#.###.####.###.###..##.#.##...#..##..###...#.#..##.##..#.#.#.#.##.....#.#.....###..##..########.########.####.#######.#.##.#.#.##.##.#....#...#.###.#.#...#.##...###.###.##.#...###.#.###..#.####.....#####.##.###..#.#....###..#####...#.####.###.##.#.##.....##.#.#.#######.###..#.##########..##...##.#.########..#.#.###..#.#.#.#.#.#######.####.##...#####.......##..#.####..............###############.#....####.######......#.........#.##..#.........##..##..##.#.#####.#.#.#########.##....##...........#...##..##......#..##..##.#...#########..#....#########.......#.#.#.####.####..##.##
#.##.#.#.##.........##.#...#.#######.####.######.###.##.##.#####..#.#...########....###.......######..##.#########.##..##.####.#.####.##########.##.#.###.##.#..##.....#.#.#.#..####....######.#.#.##..#.########.....#.###.#.###..#.#.#...######.#...#.#...##...#.#..###.....#.##.....##...####.##..#.#..###.#.#....#.##......#####..#.#.#########.##....#.......######.#####.#......##########.##.............##..........#...#.#.#########.#.#....###.###.#.##...#.##.#.####.####.#........##.#.######.#######....##.#.#.##.#.####..##..#.#..#......#......##.#######..##.###########.##..###.##########.#######..##.....#####.#.........#.###.#.########.###.#########
###..###.####.##.##.##.#.###...##...........##....##.##.##.....##.###.#.##.##....##..###.#.##......##.##.......##...##..#....#.#..##.......##.##......##.......##..#.#.........###.#.#####.#.#.#.#..##.#.....#.##.#.#####...#..##.##...#.#......####.######.##.###.#.##.#########..#.#....#.......####.#.##.#.#.#.####.##.#######.#..##.#...##.#.##.#######.#####......#...#####.###.####.#.#.......##.#.#.#.#.####.##.#.#.##.#......####...#.....##..##..##.#.#..#.........#.#...##.#.#.##.#.......##.##...###.##.#....##########.#..##..##.##.#.########.##.....#.#.#..###........##.#####.#.#...###.#.#...#.#.#####..#.#.....#.##.#.#.####...######.#.##...##.......#.#
####..##..###..#.##.#..#..##.#########.##.#..##.#.#####..##.#####..##.#....##.#.####..##.#..##.##.##..#..##.##..##.##..##.####.########.##.....##.#####..##.############.#.#.#.....#..#.#....######.##.###.#.#.#######.####.##..#####.##.###.##..#.###.##....#................##..##.##########.#..##.....#.#.#.#..........####.#.#.###.#.###.......#.#.........#.##########.##...#####.....##.#########.#####..##...#.#.#..#####.##......#.#.#.#####..#.##..###.###.#.#.##.....###..#.########.#.#.......###.#..#.##.#.....#.#.##.#.###.###.#.....#....######.##...#.##.....########..##.#......#.#.#.....#...........####.#.########.#....#.#...###.......#.#..#.#####.#
#....####...#.##..###.###.##.#.........#..#.###.#.#.....#######.####..#.#.#####..#.#.##..#####.##..##.##..#.##.#######.#.....#..#.....#.##.##.###.....##..#....##.#...######.#######.##.#.#####.#.#.##...###.......#.....##..##....##.##...#####.......##.#.######.##.####.##.#..##......#.#.#########.####.......########..................##.######.#.##.##.###....######.....###.#.#.#####.........##....##.####.##.#.##....##.##.###.##########.##.#..#####....###.#.###.####.##.#........###.#.#.#.#..##...####..##.####.#..#.#.#....#....#.#...#.##.##.#.#..###....###.###......##....#.#.##.....###.#.#.#.#.#.########........#.#.##.#.#####...##.#.##...#####.##.#
###.###.###.####.##...##..##.##.#.###.##.##...#.#.##.##............####.#.....#.##....##.....#..#.######.####.......##.##.#.###...###.#.#...#...#.#.#....##.##......#......#.######...........#...###..#####.##.####.#####..##..#.##...#.#.###.#.#.########.....##..####.####...######.#...#..#####.#.....#.###.########.###########.#.##.#........##....########.#.##.#....#.#...........#.##.######..#.#.##....##..###.#..##..####...###.#..###.#.#####..##.##.#...###..##......##.####.###..######.#.##....###.########.##.#.##.....##...##.#.##.####...#.######...#.######...########.#######..#.#...#.###.#.######.#...#.##.################.#.######.#..###.##.....#
#...#.#.....##.#####.##..##..##.#.##..##.##.#####.##.##.#.##########..#.#.#.#.#..##.#.#..##.##.##.##.....#.###.##.####.#..#...###.#######.###.#####.#.#####.######.###########....#.##.##.#.#...#..###.....#.#####.#.#...####..##..##.##.#...#.#####.#.#.####.#..##.###...#.###......####.##.##.#.#.#.###....##...........###......#.###..###########.#####..##.###......#.##.#.#.#####.###.......########..########..##.##..##....######....##.........##....####.#####.##..#.#.###..##....##.....##.#..#.#.###...###..#..##.#.#..##.####.###.#..#......###..#.###.#.#.#...#..#................######.#.#.###.####.#.....#.###....##.#.#...###.#......########.#.##.###.#
##.##...#.#......##...#.####.##.#.#..##..##.##.#..##.##.#....##.#.##.####.#.###.##..###.##..##.##..##.#.##..##.#..##.###.##.#.#......#.#...##...#####.....#.....####.###.#.##..##....#..###.#.#.####.#.#.#.###.#.#.....###.#####..##...###.#................#.##.##.....#....##############..##........####.#####.#########.#.###########..####.........#.##..#.#####.#.##..#.#.#.....#.....#######..##.#####....##..###..##..#.#######...##.##.#######.#####....#.....#.##.####.##..####.#..#.#.####.#.##.####..###.#.##.##......######.###.########.####.#.##.#.#.#####.#.#.#######.##.##.#######.########.#......#.##.##.####.#....#.#.###.#.#.######.##..#....##.#####
#...###.####.#.#..##.#####.#..#.#.##.#..##.....##..#.#..##.#............###..##..##..##.###..###..##..#....##..##.....##..#.######.#...##.##..#....###.####.#.#......#.#......####.############..#...#.#.#.........#.###.......##..###.##..##.#.#.##.#.#.#.#####.###.#.##.####.#...#.#.#.#..###.####.#....#.#..##.....#.................##......#####.#......##.#..##.#..##.#.#.#.##.###.####...##..###...#...#########..##..##.........#######.....#####...##.#.#.#.#.#.##.#.##..##..##..#.##.#....#####.......##...........#.#.###...#.###.#####.#######....#.#.#..#.####.#.#.....#.##..#....##....##.#.#..##.#.#....###....#########.#..##.#...........##.#.####.....##
##.#######.#.######..##......####.#..##.##.#.###..##.##.##.##.#.#.#.######..####.##.##...##.#####..##.##.#####..##.##..####..##....#.#.##..##.##.###.######.#.###.##.....##.#..##.........######...###.#.##.##.##.##..##.########.##########..#.#..#.#.#.#.....#...#.#.##..#.#...###.#.#.##.#.....##.#.#.##...##..#.#...##.##.#.#.##.#.#####.##.....#.##.###......##..#.##..#.#.#.##.##...##..#....##.##.##.####.##.#.##.###.##.#.##.##.###.#...#####..##.########.#.#.#.##...#######.##.##.####.##...##..##.##....##.########.#.....#.........#.#.#.#.....####.#...##...##.#...#########.#.####..####......###.#.#.#.######.##.#.#.......##....##.########......##.###..#
#......##.........##..###.#.#####.##.##.##.###...##..##..#.#..#.###......#.##.....#..##.##......####..##.....####...##....#.#####.##.#.#####..##...#......###.########.#..########.#.##.#...#.####..##.######...#.###.........#.#.....##...##.###.####.#.###.###.#.###..##.....###.#.#.#.#....#.#..#########.##..##.#.#..#.#############......#.#.#.#..#...##########.#######.#.#..#..###....##.##..#.#...............##..####..#.##..#...#...#.......###.###.#.####.#.#..#.#.....##...#.##..#######.####.##..#.##.##........#.#.##.###.#.##.#.....#...######.#...#..##.##....###..#.##.###..#.##......######.#####.#.....##........###.#.##.##.##....#.###.#.####...#####
###.#.#####.#####.###..##.#..##.#.##.##.##..##.#.######.####.##...#.#.########.#.###..#..##.######...##..#.#.#####.##..#.#####.#...#.#.....##.##.###.#.######....#..#####.##....##.#.####.#......#.#######..###.#...##.#.#.##...#.#.#..##.###...#..#####...#...#.#...#.#####.#.............#######.........#..##.#######.#......##.....##.#.#.#.#.#.#.####.......##.........#.###.###.#...##.######.....##########.########....########.#...####.######.#...#.....##.#.#.##.##.##.##.#.#..##.......####...##.##.####..#.####.##################.##...###.##.#...###.###....#.####.##.#....##......####...........##.#.#######.#.#.#.##..#.....#####.#.#.....#...#..#...#.#
#...###.........#...##.##.####....##.##.##.###.#....##..##...##.#######.#.#.####..##.##.##.......###.#####.#....######.#..##.....#####.#####..##.....#####..#.####.##.#.###..#########.##.#.#.######..#..#.##...##.##########.########......##.###...##..#.#.###.#.###.#.###.#.#.##.#.#.##.......#.#.#.########.......##.#.######..#.########.#.###.####...#.###..##.#.#.####.##..#.####.###......#.#.#.......##.####.#.######...##...#####....#...####...#...###..###.#.####...#############.#.##....##.##..##....##.#....#.......#.#.#....##..##.#..........#.#####.#.####...........##.######.#####.##.######.##.#...#...#.#####..##.#.#.####.##.#...##.##.#...####...#
#.#.####.##.#####.#..###.....#.#.##..##.#..##..##.#..#.#######................##.#####...##.##.#..##...##..###.##.#.#..#.#####.#..#.##.....#######.#..##...##.............##...........####.#....###.##.##.######......##...#......#.###.####....#.#..####.#.#.###..####.#...#####..#.#..###.##.#########.....#.#.#.###..#........##....##.####.######.#.#.#...##..#####....#####....##....##.#######.#######.....#.......###..#....#..#.#######.#......#.###..#########.#.###.###.##.#.#.#.#######.#..#..##..##.###..#.#.##.#.#.#.......########..#.####.###.#...###......######.#.####.....###.....#.##......#.#..#.#.#.###....##.#######.#.....#.#.####.##.#.#.##...#.#
#####.#####....##.#.#####.#.##.#..####..##.###..#.#.##...#####.###.#.##.#.#.#.#..#...##.##..##.#####.#####.##.......##.#.##.####.##.####.#..##.#...##....####.#####.#######..#########....#.#.####.#.......#.#####.#.#....###.##.#....##.#########.##...##.#....###.#.#..###.....##.#.##...#..#....##.....##.#########..###.#.#####..####....##.....#..#.#####..##..####.#.####...#.####.#.#..##.#.##.....#######...#######.##.##.#.##.....##########.###...####.#.#.#####..##.##..##..........#.##.#.#######..#...######..#.###.##.##.#..##..######....#...#.#.#.....#.##......###....#####...############.#.#####.###....##.#.###......##...#.#####....#..#####..#####.#
##.##.#.#...##..#.###.....#.##.##....##.##..##.##.###..###...#.###.######.######...#.#...##..#.....#..##...###.##.########........#....#.##....##.###.##....#...###.........##..#.#######.#.#..#.....##.##......##.#.#.#.##.#######.###..........#.##.#########...###...###..######.#..######.#.##....##.#####.#..##...##...#....########.###########.#####..#.####..#.######.#.#.#.##.#.#.##.......##.####.....##.####......#.##.###..###.........##..###.###.....#.#.##..#######.##.######.#....###....##...##.#....##..##...#.##..#.#.###.##.#.##.#.##.###.#.####.##..#.#.######.##.....#.####.###.....###.##########.#..######..########.##....##.#.###.....##...###.#
#.........#..#.##...#.##.####...##.###..#..##..##...####.###.....#...#.##...##.##.##.##.####.#.#.###.#####..##.##.......##.#.#.##...#.##..##.#.##...#.#..#####.##.###.##.####..##....########.##.###.######.#.#..#######.....#..#.#.####.##.##.#.#.##.##.##.#####.....#...##.##...####.....##.#..#.##.#####.#....####.###.#.####..###...#..........##.#.##..##..##..##.##.#.#.#.#.#..#.#####..#.######......#.#.##..#...###.##.##..###...#.##.##########.#.....##.##....##.#..##.#......#######.#...########.##..##.###..##..###.##.####.....#..#..###..####..#...##..#.#########.######.###..........#####....#.#.##.########.#.##....###.##########.#.##..#.####.#...###
#.#.####.##.######.####.....##.##...######.##.##..#..###.#.#.##.####....#.#.....#..#..#..#.#.#.#.#########.##...#.#.#####..######.#.#.###..###.##.#.#.##....#####.#####.....##....####......###....#....#.###########.#####.##.##.#...##..########.##..........#####.###.###....#.##.##########.#######...#...##....####..#...##.##.#.###.##########.......########.....#.#...#.#.####....###.#......###.#########.##.#####..#..##..###.##.##......#.#.#.##.#.##.....#.###...##....####.#...#.###########.####..##...##.####...###....###.####.##.#####....##.#.#####.#..##.........#.####.####.#########.##.#...#................###.##.#.###.####.###..##.#..#.#.###...#
###.#....##.#.##.#..##..#.####.###.##.......#.###.##.#.......##....#########.##.#.###.#.##...#.#......##...##.#.###.....##...##...#.#..#######.#..#####..##...#.#....#####.##..#####.#.#.#######.########.####.#.#.#......#.......######.####.#.#...#.######.#..##.#######.##.#.#...........##..........#...####.#####.##.##.##...#.#.#.....#.#.####.###.#.......######.....#.#.#...#..#.##...##.#.#.##..........#........#.##.##..##...##.##.##.#........#.#######.##.....###..######....#........##.......###.##.###..##.#.#.#...####...............####.##.#...#.#.##....#.#.#.#...#.#...##.............####.##.##########.#.########.....#.......###..#.##...#...#.#.#
#...##.#.##......#.####.#..##....#####.##.#.#.#....###.#.##.####.#.####..##...###...#.#.##.#.#.#.#.##..###.##.#.###.##.##..#.#..########.##..####.##.##.##..#.....#.##.##.....####.#.#.###..#...............#........#.#####.#.##..##..#..#.#.#.###.#.....#####.....#.#.#...#.####.#.##.#######.#.####.####....#........#..#.####.......#.#............###.###.#......##.#.######.#...#####.#..#.###..##.#######.##.##.###############.##...#..#.#.#.#.####...#.############.##.####.########.######..#.#.#..##..######..#.###.#.#....###.####.##.###...#####.#.#...#..##.###.#.###.#.....#..##.##.#####.#..#.####.#######.######....#.#.#####.#####...#.##.#..#.##.##.#.#
#.#.#..#.##.#.#.##..#.#.##.##.#.##.....#..###.##.#.###.###..#.##.#......##..#..##.#.###.##.#.#.#.#..#.##....#.###....#.##.##.##.............###.......#..##.##.####....##.#.#.##.........##.#.#############...#.#.#.######.#######....#####......##.#.#.#.....###.#.......#######..#.##.......###.##.######.#.################.##.#.#.#.################.....#.#.###.#####....#####.###.#.###.##..##.##.......##.##.######.#......##....##.##.##.###.#.####.#.....###.#..###.##..........#.#####.##..##.#.##..##.###.###.....###.##.#.##.....####.###.###.#.###.##.###..#######..#####.#.###############.##...##.#...........#.##.####...###.#.######.########.#..####.#.#
#.#.####.######..#.##....###..#..##.##.#.##....#.#...#..###...######.#########..#.#...#.#..#.#.###.#####.#.##.##..#.############.##.#.#.#.#...#.##.#.##.###.##....#.#.#####.#....##.#.#####.#.#..#.#.#######.##.###...##......##.#.##.......######..###.#.###..##.##.##.#.###...####.##.########......#.#.#######.#.#.##.##.#..##.###.#..............######.####..##.....####...##..###.....#.#..###..##.######..#...........#.#.##..#.###..#.##...#.#....#.##.##...#.#.##.#....#.#.####.......#....#####.##.##........#.#.#.#####..#.####.####.#...#.........#.##.#.##.###...#.##.#.###..###.###.##...########....#.#######.........##.##.........##...#.##.####....#####
#.####.......##.##..##.#...##.#.########..##.######.###..##.#....##....#.###.####.#.#.###.##.#..##.....#.#.#####.##...##...##.....#.#.#.#.##.##.##.#..####...#.####.#.#.###.#.##..#.#.##.#......##........#######...#..#.######..#..##.##.#......##.##..#...#.##..##.######.##.########......##..#.#.##....#.#.#..............##....####.#.#.#.#.##.##.####....#.####.#######.#..##...#.#####.##...#.##.......####.###.#########.###.#...##.#..##.##.##.#.####.##.#..........#.####....##.##.#...####.###.#######.####.#.#.#.....#.##...##......##.###.########.##....#.....#.#........##.....#.#.#..#####......#.##.#....############.....#.####.###.#.#.##.##.####..#..#
#..##..##.#.#####..##..#.#.####.#.#......###....##...##.##..#.##..##.#.........##.###.#...##.#.##..##.####..##...##.#....#.#####.####.#.#.##..#..#.#.###.##.##....###.....#.#..######......##.#....####.#.......##.###..........###.####..##.#####..#..##.#########...................#.#.######.#.#....##.#.....#.#.####.#######.####.#.#.#####..###.....#########......#..#.#.##..#.......###..###..##.####....#.##..#####...#...####.######..#..#.##.####.#.##.#.###.###.##....#.####...#.#.#...##.#.###.......####.###.#.#.###.####.##.###.#####.#.##.#.#######.#.#.###.#####.##.####.#####.....##.#.#.######..###.####.#..###...##.##.########.#####..#.......##...##
#.##..###.#.#...##..##.#.#..##....#.#.##.##..##.#..####.##.##..##..#.#.##.#.#.##....#.###..#.#.##.##...##..####.##..####.#..##...#.##.#.#..#.###.#.#.....##..##.#..##.###.#.#.####.##.#.#.##..##.#....###.###########..#.##.##.######.#####......##.#.##..##.#....##.#.######.##.#.####.#......###.#.##..###.#######....#.......#.##...######.###..##.#########.#.######...########.#.#.#.###########.##....##.#.#####.......#.##.##.........#.###.###...#...#.##.#...#########.###...##.#.###.#.#....#.#####.#.#....#...###.#...#....#.#...##....##.............######.######.##..#....###.##..#.#...........########.#......##.##.##...####........#..##.#.##.#.##..#.##
#..##.##..#...#.##.##..#.#.####.###.###..###..#.##..##...#.##.##..####..########.#######..##.#.##..###..##..##...##...##.#.##..#...##.#.#.##.##..#.#####..##.##.#.##...####.#......####.########.#.######.##.##.#.#.##.#.#######.#.#.....###.########..##......#.###.#......######..######.#####...#####..#...#.#..######.#.#####..##.####.....#####...............#.#####.......##.#####.#.#...##.####..##########.###.#.#.##.######.#.###.#####..##..#...#.#..####.###...##.###.##.##..#...#.#.#.##.....#.###.#.#.##############.#.##.#.#####.#..###.##.########.#.##.........#.###.#..#.....#######.########.###..#...#.##.#........#..#.#.##.#####.##.....###..##.#..#
#.###.###.##.##.#..##.##.#.#.##.##..####..##.######..##.#####..##....##........#.##.##.####..#.##.###..##..###.#.###.#####..##.##.##..#.#..#..#.##.....##..#.##.#..#####.####.#.####.#.........#.#......#............#.#...##.#......#.###.#......####.###.##.####.###.#.##.....###.....##.....#.#.....##...#.....#####.###....###.#.....##.####.##..##.############.....#.##.#.##...#.##.....#......###........##...##.#.#..#.....####...#.....##..##.#.###.#.##........#.##..##.#########.##.#.#.##.#####.#####.#.#..###..#....###..###.....#.##...#.##............##.#.##.######...##...##.###...#####..#..#...##.#.###.##...#########.....####...#.#..#.#...#.##..#.##
#...#.#...##..#.##.##..###....#.###.#....##...##....###..##...##..#.###.######.#.....#.#####.#.#....######.##..#...#..##...###.##.###.#.##.#######.#.#..##.####.#.##.#....##..#......##.#.##.###.#.###.######.####.#.###.#.##...######...#.##.#####..#...###.....#.##..#..####.##.#.#.#####.##.#.#.###.##.####.#.###......#.##..####.######.........######........##.##.############....##.#.##.#.##..####.##.#..#.#.##.###.###.####.#######.########..#...#.#..##.##.########......#.....######.###...........####.#.##...##.######.###..#####..#.############.##.###..#.##....#####.##.#..#.#.##.##.#.#.##.##.###......###..#......##.##.##...##.###...##.#.#.#####.####
#.#.###.#..#.##.##.##.##...#.####...####..##.######...#.##..#..##.####......##.##.##.#.....######.#...#.##..##.#.#.#####.#.##..##...###..#..##.#.#####.##.....#.#......##.###.##.#.###..#..#..##.#######.####.#.##.#####.#....#.#....#.###.#####..#.#########.##....#.###....###..###..##....#.###...###.....#.###.#.##########..##....#.#..#.#.######.#...####.#.....####...#.#.####################....#.##.##...###....########...#.###.#..#.#.#.##.##.##.####..##.###.##...##.#...#.#....##..####.#.#.###.##.##......#.........###...#######.#...###...#.#####...##.#####.#...#.######.####.##................##.#.######.##.###.....####.###...#..########...##....##
#.#..##.##.######..##..###.#...####.##...##....##...###.###.#.###..##..#.#######...#...###...##...#.###..#.##..#.#.####..####.##..#...##.##..........#####.#.##.#.#.#.#####....#.#...##.#.###.##...#........###..#.....###.#.####.#######..#.#...##.#.###..######.#.#...##.#...##...#.#####.##..##.#.##..#####........##..##.#####..##.....######.##.#...#..######.#.###.###..........##.##.#.##....######..#.##.#..###.#..#.#.#.#.###.....##.#......#.#..########.##......#.#############.#####....#####...#....####.#.###.#.####..####.......#####.....#.......#####......###.#...###.####.##.#..##.########.##....####...#.#....########.###.##.##.###...###.#######..#
#.#.#####...##.###.##.##...#.#..##..#..#.##.#.####.##.....#.#...##..##.#....#.###.####...###..#.#.#.....##.###.#.#....##..##...##.#####...##.##.#######..#.########.###...#.#.##.###..#.#...#.####...###.##..##.##########.###..........##...#.###......#.##.#.###########.#.#....#.####.#...#.##..#..##.....#.#.####..##.##.#.#.##.########.#.#.......######....#.#.#.#.....##.##.##.........##.###############.##..####.##.#.#.......###..#...#.#.##.##..##....#.#..####.............#.####.##.##.....##.###.#...##.#...###....##...####.#.#####...#.#############.###.##..##.##.##.#..##.......###.......####..#####.##.#####.#..........##......#.##..#...#...#.######
###.##....#......#.##.####.#.######.##.#.####.##....###.###.##.###.##..##.#....####..#.#...#.##.###.##.#####...#.##.###..##..#.##.....##.##..#..........##...#.#......##.####..#...##.#.#######....#####..##.............#...#.###########.###...#.####..........#.#.##..#.####.###.##.#.##.##.##.##.###.#.#.###....##...........##........#.....#.###.##.#...########...######..#..##.#####.###.............#.#####..#####......##.##..##.###.##.#..#.###....####.##..##..##.#.#.#.##........##..###.###..##..##########..####.###.#....#.#.....###.#...##....##......#####.#..##......##..###.###...#.#.#....##............#.#.##.#.#####....######....##.#####.#....#.#
###..####.##.#.#.####.#....#...#.#..##.#...##.#..#.##.....#.##...#..##.##.#.#.##.##.####.######.##...#.#...#.#.#.#..####..##.#..##.##.#...##.###.#.##.#.##.###...##.#.....##..##.#..###.......##.#.....##..####.##.#.#.#.#.#........#.#.#......###...##.#.##.#.#........#####.#.###.......#..#.##..####..###...#.##..##.#.#.###.##..####.#...##.##...#....#.###.##..#..#......#####..#.....###...#.#.#########.##..##...##..##.#..#.##.#####.######.##..###.#...##.##.####..###.###..#.#.########..##...##.###.####...####....###.#.####.#####.#...###.#....##....#.######...##..#.##.#####.#########.###.###.######.##.####...#.#..#.....##.#..###.#.#####.########.###.#
#...##.....#####.##...#.#.##.###.#.###.#.#.##.#######.#.#######.##.##...###.#..........#......#..##.##...#######.##...########.##...#.##.###.##..#.######....##.##..###.#..##.##.##..####.########.#######..##############.#.#.##.###.#...#.##.....######.##.#.#.####.#...##..#...####.#.##.##..##....##..##.#.#..#####.#.#.##.....#####.#.#.##..##.##.##........##.#.####.######.####.#######.#########..#.#.....##..#..#.########.#.........##.########.#.###..####....######.########........##.##.######.#......#...##.##..#..#.##.....#####.#..##.#.#.##..#.##......###.##.##.####.#.#.......##....########..####....#########.#.#.#.#####...........###.#.##.....#.#
#.#..#####.##.##..##.####.#......#.##..#.###..#...#...#......##.##..##.####.#.######.###.#######.##..#.#.##.#.#..##.#.....##....##.####....###..##.....##.#.##...##..####.###..#.###...##..#.#.##........####..........#####.#..#.......###..#.#.#......#.##.###...#########.####...####..###..####.###..##..#.#.#####..#.####.##.###..###.#..##..#.##..#.#.####.........#..........##..........#.#.#..##...#.#######.##..........#.#.#.#.#.#..#..##.#........#.##....##......#........#.#.#.##.##.##........#.###.##.#..#.###...##.##.###....#######..#.##########.#.##...#..####...##.....#.#.#..##.#..##.##.#.##..#.##.......##..#.#.#..##.#####.#.#####......###.###.#
#.####.#.#.....#####.##...##.##.##..####.####.###...#.#.##.#..#..####.....###.....##..##.....#.###..####......##.#..##########.###....##.########..#.#..#######.####.#.##...#.##..##.#####......##.##.##..###.##.#######.###.##.##.#.##.####.#.####.#.#.#.##...#.#......##.....######..##########.#.########.###.....####..##...#.#.#.####.#.########..##.#..#.####.#.#.##.###.#.#####.##.#.#####.#...###.###.....##..##.#.#.#.########.###.##...##..#####.#.####..##..##.#.#####.##########..#.##.##.#.##.###..#######.####...######....##.#..##...#.##.......##.#######.##.##....#....##.####.##..####............##..#.#.##.##..####.##........#.#.....##.###.........#
#.#........#.#...##..###.##...#########.....######.####.##.#.###..##..#.#.##..#.#..#.####.##....##.##.###.#####..##......##......##.#.#....#.#.###.####......######.....#########.##.....##.######..#.##.##.#.##..##.##..#.####.#..#.##....#.#.##.#######..##.##.##.######.#####.#.##.#####.#.##..#......##....#.#.#########..#.#........###........##.#######.########..#...#.#..##.#.####.#.#.#.#.###.......##.####.##.#######....##..###.##.#.##.##.###.#...#####..##..#....##........####.#.##..###.##...##.......#....#.#.##...###.###.##....###.##.#.##.##....###.####.#..##.##.#..###.######...####.#.#.#.#.###.##.#######.##.#..##.#.#.####.#.#.#..#..##.##.#.####
###.#.#.##.###.#####.#.#.##.#......##...##.###.....##....#.#.##..##..##.#..##.#.#.##...##.#####.##.##.......##..####.##.#####.##.##.#.##.###.....#....#.#.##..##.#..###......#.############......##.###........####...#.##.##.###.##..##.#####..#.##...###.##..####.........##.....#...........#.#########..#.####.........##.#.#.##########.##.########.#.#.#.....#.#####.#.####....#...####.#.#.......####.###########....#.##.######...#.#..#..#......#.#.#..##...####.##.#####.###.#.#.######..######..######.##.####.##.#....#.##....#.#..#.####..#.###.....####.#..#.#.#####.##.##......##.##.#...######.#.###.###...#.##.###..##.##.#.#....#.########.######.#..###
#...#.#.#...##....##.#...####.#.####..#..#.##..###.####.########..#.##..##.##.#.###..#.##.....#.##..##.##.#..##.##...##.#.#...##.##.#.#......#.#.#.############....##...######........#.##..#.#####...#.##.#.#..#.#.#.........##..##.##......##......#...#.###.##.##.#.####.#..#.#...#.#.###.#....####.#.####..#############..#.#....##.##.###..###...##.#.....#####.#.#.######.########.#.##.#...##.##########.#.####.##.#.........#.########.##...####.#####.#####.#.##.##...#.#######........##......##.....##.##....#..#.#.######..#.####.##....#.##...#.#.#..#.#...##.######...#.###.######..#.#.###.######......####...#....##.##..#.####.######.#.##....##...##...#
#.#.#.#.#.#..#.#.##..##.##....####.#.##.##..########.#.........########..#.##.#...#.##.##.###.#.#..######.#.######.#.##...###.##.##.#.###.####.###...#.#....#.#.#.###.#...##.#.########..##.#####.#.#.####.#.##.....##.#.###########..##.#.#..##.##.########.......#.######...##########...#.#.##...........##.............##.#.##.#.........##.....###....###..###........###......#.####.##.#.###.....#..........##..##.##.########..###.#.######....#....####.###....########......####.#######.#.####..#.#.##..#.#.#######......#.##.#.######.#.#..###.###.#.##...#.....##....#.#.#......#.#.######....#...#.#.##....#.###.##.##.##.#####.#.##.#........#.###.#.##.#.#
###.#####.######..##.##..####.###..#.##.##.##..........#######.###.#.##.#######.#.#.#####..#######..##....#.#.##.###.##.#.#...##.####.#.....##..####.....##...###.##..#.####.#.....####.##........#.#....###.##.###..#.#.......###.####..#######.####.....####.########...##.##.#......###.#.#.##.#########..##.####.#.#####..#..###.##.#.#.##..#.#.#...####.####.#.########...######.#.##.##.#...###.#...########..#.######........#.##.....###.###.########.##.#.##.#.....###..#.##..#######.#.###.#####.#####..####.......##.#.#.####....###.#.####.##..#####....#########..##.#.####.#.#......##.##.####.###############.#.#####..######.........##.#.#.#...#.#.##.#.#
#.....##.....######...##.#........##.#..#...###.##.#.#..##.#.###.....##.#.##....###.....##......##.##..##.#......##...###.##.##...##..##.#.####....#.#.#.##.#.##...##.#........#####.....#.##.#####.#.#.######...##.####.##.####....#.##....#.#.......#####.##..........#..#......###############.........#.##....##.#...#.##.##...####.###########...#........#.....#.###...###...##...##.##...#...###.#...#.#####....#...#.#.#.####.##.#####.....#.....##.#.#.....#.#.#.#.....##.###...........#####..##....##.##.######.####.#.#..##..####.#.#..#.#####.#..##.#####.#.#.########.######.#.####......................##........#.#.###.#.#######.###..#.###.##########.#
##.####..#.#.....######..###.#.#.#####.###.##...#..####.......#..##.###.#....##..#####.##..#.#####.###.#..##.##.##..#...#.##.##.#.##.#####...##.##.#####..#.#.###.##..##.##.##.......##.##..#.....###.###..##..#..###.####.......##....######.##.##.#........#.#.##.##.##.##.##.#.....#.........#.##.##########.#..#.#.#.#.#####.#####.....##....##.#.##.#.#####.###.......###.##.##..####.#..#.#.#...###.#.......##.#...#########.#.......##..#.####.####..#.#.#####.###.#.##.###..####.###.#.#....##.#####.#####......##....#.#.#.####........#.##....##...##.............#.#...#...#.####....#.#.##.###.##.#####.#####.####.#.#............####...##.#####...#####..###
##.#....##.#.#####....##.##..#####.#####....##.##.####..#.#.#.#.#####...#.#.##..##...#..#.##...##..#.#.##.##.########.#.#..###..#..###.....#..#..#...####.#####.#.##.##...####.#.#.#..#..#####.##..##..#..####.#.####....###.#.#..#.#.#####.#..#..#######.##.#.#..#.#######...#####.#.#.######.##..#.......##...##.#####.....##......#.#.#....##########.#..##.....#.#.###...#.....##.##.#...############.#.########.#.###.##.#.##.#.#####....#####.###..#.##.#.###.############.####..#...#.#.#.####..##.####.###.####..######.###....#.#.#.#.#####.####..#..#.#.#.#.###.#.....###.###....#.#.####..#...#.##....##.........####...##########....##.##......#####.#.#.####
#..#.##..#.#...###.##.#...##.....#.#.####.#.#..##.#..##.#####....#..###########....######..#.#..##...#.#..##...#.#.##.#.##..########...#.#.#.###.###...#####.##....#..###..#.###.#.#.###..###...#.####...##.##.#..#.##.##########.###..#..#...######.#.##.######.##.......#.#....######.....#####.####.##.########..##...#.#####.#.########.#.....####.#######.###############.#####...#...###.....#.##.###........#.#####.......#.#.#...#.##..##.#.####.............##.##.##.##......##########..#.##.##.#.........#.##.##########.######.#.#..##.....##.##.##.#.#.#..##.#.#########...#.##.#....##.#.#.#.#..####..#.#.#.###.####..############.######.#.#..#.........#.#
#.##.###.#.#.###.#.#####.##..###........#.#.#.##..##........##.#...##.##.##..###.#......#.##.##.##.#.####.##.#......#####..##........#.#.#.#...#.##..#...#....###.###...##.....###.#..###...##.####....#..#.####.##.##.........##.######.##.###.##.#....###.#.##..#.#.#.######.#..###...#.#.....#.#.....###......#.#######....##.#......##..##.####.#.....##.#.#.###......##.......#.###.###...#####....####.#.#########.#.#######.#...#########.........#.#.###.###.....#.......####.#....##.#####.##......###.#.#....###....###........#.#.##....#####...#.##.#####.###.#.#####.##..###..#.##.####.########...###.#.#.#........##............#.....#######...##.##.#...#
#.##...#.#.#..........##.###...##.##.#.##.###.#..####.##.#.##..###........##.....#.#.#######.##.#..#.##...##.####.#..##...####.#.##.##.###.#.###.###.###...#.##.....##.##..#.###...##...##.##....##.##.##.....##.......#.#.##.#####.##...............######....##.##########.#.##...##.################..#..##.#.#.....##..#.#####.#.#####.###.#.##...#.#....#...#.##.#######.######.###.###.###.##..####.####..######.......###...#.####.##.###.###########.#######.#.#...##.##..#####.##.....###.....#.##...###.#.##..#..##...##.##.#.##.#.##.##.....###.#..#...##..##..#..........#######..#....#.##.#..##.#...#######.##.###########.#.#####.#####.#.#.###.########.##
#..#.#.###.##.#.##.#.##...#######.##.#.##.######.#....#..#.#..##...##.#########.####.###...#######.#####.##..#....##..#############..#..##.#.#####....##.###.####.######..##...##.###.#.#...##.###...#####.####..#.#.##########..##.##.####.#.##########....##..####.#.#..#..###..#.....##.#.#...##...##...########.######.#.#.#####.###.####..#.###.##.##.#...#....#...#.###.###..#.#.#............##.....######..#.#.#######.#.###.......................#.......#.#.#.#..#######.....########.#.################..##...##..#..###..#..#.#.##.##.#.#..##.##.#.#..#####.###.##.####.......#.##.#.##......###.##.###.#.####..##..#.#######....##.....#.....#####.#.##.####
##.###...#.##.#..###.##.#.......#.##.#.##.#......##.#.#.##.##.###.##.....##.......##.....####..#.....##...#####.#..##..##..##..###..###..###...#####.##...##...##......#.#######..#...#.#.#..#######.##.......##.#.#......#...##.........##.###.....#....#.#######.#.#.#.##.#####.##.##........#....#.####..#...#.#.....##.#.......#......#.##.......##..#.#.#####.##.###..#..#.##.#.....##.#.########.#####.##.#.##.#.#...##........#.######.#.#.#.#.####.###.##.########.###.####.#####.#.##.#.#......#...#....#######.#######...#####.#.#.#..##.######...###.#.#####....#..#######.#.#.#####.#..###.##...####..........##....##.......#.####..#.#...###...............#
#....##.##.#..#.###..#..######.#######.##.#####.#####.#..#.##...#..#.#########.#######.#..#.##.###.####.###.#.#.#.####..##.##.##.##.#.####...#....##..##.#########.##.##...######.#.#.###.##..##..##.##.##.#####.###.#.##...######.############.#####.##.#..#.#....#............####.#..##.##.##.#.##..####...#...##.##.##.#.#.#.#.#.#.##...##.###.#..##.#.#...###......##...##.##...#.#..######...#.#.................#.#....##.#.#.#......#######.#..###.###.##......##..........................#.##...#...####.#.#.#...#######.....#.#.#.##.#...#...##.####.#.....###.###.......#.#.#.....######...##.#####..##.#.#.###..#####.#####.#....#######.###..#.#.###.#.#####
#.####...####.#...##.##.....##..######..#.##.#..#.....#.##.##.###.##.......##...##.###.##......##.....#..##.....#.#.##.##..##...........####.#.#.##..##........##..#####.#.....##.#.#...#..##..#.###.##.##.....#..#############.#.........##...........####.#...####.########.#....#.#.###..####.#..##...##.#.#.#..#.##.##.###.############.##..##.#.#####.#.#...##.#.#....#.......#.#.#.###.#...###.#.######.##########.###.#######.#.##.#..#.#..####...###.#####.#######.#.#.###.#################.###.###.##.##.#.#.#####..#.######.########.#.#...#..#.#..#.#.#.#####.##..##.#.####.###.####.#.######.....##..#.#.#...##..........####.##.......###.####.##########.##
#..##..#.##...#.#.#..##.##.##..##.##.##.#.#....###.##.#..#.#...#############..#..#...#..#.##.#.####.###.#####.#.#...##....#######.#.#.#...##.#.####.####.#.#.#####.....###.#.#..#.#.#.#.#.####...##...####.##.###.#.####...#..#.##.########..#.##.#.##.##.###.###.#........#######.#.#.##..###.####..#.######.####.####..###.............##..#.##..#....##.#####..###.#.#.###.#.##.#######.....#...#.......##..##.###.....##.#...##########.##.#.#######..##....##...##.########................####...###.###............##.##.....#####.#.#.###.##.##.##...##.#.#.....#####..#.#...##..#####..........#.#.#..#.######.#.##.##.#.##.##.###############..##...##.#####...#
#.##..##.###.#######.##.##.###.......##.###.#.####.#..#.####.#.....####..##..###...#.####..#####.#..###..##...###.#####.###.......#.#.###..###.##....#.#.#.###.#.#.##.##...#.##.#####.#.####...#.####....###..##.....#...#.#.##.#........##.############...##.......##.#####.#.#.#########........##.####.###..#.#....##...###.###.##.#.##..##.##.##.##..#...##..######.#...#.#.#..##.#....###.#.###.############...##.#####...###.##.#...#....#....#..##....#.#####....#.#.#.##.#.#.#####.#.##....#######...##.#####.#.#.......###....#......##..#..##..##.########.######.##.####.####.#.#.#.####.###.#.####.###...#######..#####......##.######.##.#.####.###...#.##.##
#.###..###......##....####...##.#.##..#.##..#..##..##.#..##..#.#.#......####..###.##....##...##..##...##.##.#.#...##.##...#.##.#.##.#.###.########.#...#.#.......#..######.#.##.##.##.#....###.###..#.#######.##.##.##.#####..#.#.##.#.#.##.#.##.#.#..##.###..############.#.#....#.#.##.#.#############....##...######..#.##...###########.##..#.##..#.##.#..##......#.#.########......#.##...#...........#......####...#.#.#..........###.##...##.#.###.######...##.###...#..#.#.#.....#.#####.#.........###......#.#.#.#.#.#...####...########.#.####.####.##.#....#......#....#.#.##..........##########.......###.#.#.##.##.####.##............#.#.#.#####..###.#...#
#...##...###.#.##..#.##..#.######.###.#####.#.####.#..##.##.##.#.#.#.#.##.##.##....#.##.##.####.##..#..####.#.#.#.....#.###.##.###..#...#......##..#.#.#.#.###.#.######..#.####.....#.#.#.##.......##......##.##.##....##.##.##...########...........###...##.........##.#.....##...#....#.###......##.#.######.#####.##.#.#..#....#.#.#.#####.##..##.#.##.##.##.#.#.##.#...##.##..##.##########.#.#.#######.##.#......#...#.#.#.####.#############.....#.....##.#######..###.######.#####...#.####.#########..##############.#.#..#####......##..###.....##.....#.#.##.##.#.##.#.#....#.##########....#.#.###.###.##......##.....###.#..##########.....#...#.##.###...###
#.###..#.##..#####.#.###........#...#.##....###..#.##.##.#...###.#.#.#.....#.###.#########......###.#.###...#.####.#.##.#####...###.#.#.####.#..##.###.#.#...###.##.....##....#.###.#.#.###..#.###..#.##.###..##.#..##....##.#..#...##..#..#.#.#.#####.#.####.######.##....##########.######.#.######.........#........#####.###.#.....#.....###..##..#.##..####.#.######.#.....##.##..........#.#.#......##..#.##.##.########.#...####.#.###.....##.#.##.###.....##.#.##.......#.##.....#.#.....##...........######.......####.##....##.#.#.####...##.##....#######.....######.#.#.##.#.....####.##.###.#.##...##....#.####..#.#...####.........####.#...###.#......#####
#.##..##.#..######.###...##.#.#.#.#########...##...##..#.##.####.#.#.#.#.#.#..##....#....#.#.##.#.###...#.#.#.#....###.....##.#..##.#.#...####.##....#.#.##.#######.#####..##########.#...##.#...#######...##.####.##..##......##.#..##.#.######.##..#.#..........######.#######.#.##.............####.##############.###.#...##.#.#.#...#######.####.#..##....#.#....##..#.#####...#.#.###.#.####.#.##.#....#####..#.....#.########.##.....#.##############..######.#.##.#######.##.###.#.##.#.####.#######.##......#.#.#...##..#.#######.#..##..#..#.###.#.....##..#.#......#.#.#.##.#####.......#.#.....###.###.##.#....#.##.#######..###.#.#....#.#.#.......#.##..#..#
#..##.#..##....##..#####.##.#.#.#.......####.##..#..#.##.##.##...#.###.#.#.#.##..##...##.#.#.##.....#.#####.######...#.##.#####.###.#.#.#..###..##.###.###.....##.......##..........###.#..#.#.#.......#.###...##...##..####.#.#######........##..##.#.#.##.#.#####.#.#.............#.########.#.##.##....####.###.#####..##.##..#######.......#.#.##.#.##..####.#.########.....###.#.#...###.#.##.#.##.##.#...##..##.#.#.#.#.#.#.##.#..#.#.....###.#.#.##.##....##.....#.#.####...#.############.##.......#....####.###########.#.....#############.#.#...###.#####.#.#.#.########.##.....##.#.##.....#.#...#...###..#.#.##..#.....#.##########.########.##.#.##..##...##
#.###.##.##.#####.##.....##.###.#.###.###.....####.####...####.###...#.#####.###.#########.#..#.#####.###...###.##.###.#...#.#....#.#.#.##...##.#...##..###.##....####.####.##.##.########.#.#.#.#.#.#.#..##.#.##.#..##..#####...#.#.##.#.#######..#......###...........#######.#####.#......######.##.####..........#.#.##..#..###.#.###.###.##....#.#..##..#####......##..#.#...#.#.##.####...##.#..###..#.#.###..#.###..............##.#.#.###.#........####.###.#.#..........###....#.#.###...##.########.#....#...####..#.#.#.###........#.##.###.#.#...#####...#.#.#...#.#..#.##.#.#..###..#.#############...##.###..##.#.#.#........#########.#.##..#.#..#.##..####
#...#.##.##...##...##.#.##....###...#####.##.#####.#.########..###.###...##...##...###..##.#.##....##...#.#.#.......#####.##...#.######..#.###..#.#######....##.#..###....#..###.......#.#######.#.#.#.##.##.#..#.#.####...##..#.....##.#####..###...#.##...#.########.#####..#.........##.####.#.#......#..#.#.##.###....#####........##...#..##.###.#.####.....##.##.####.###.#####..###..##.######..#########.####...#.#.##.##.###.#######.....#.######..#####...#.##.##.#.######.##.#.....##.###........#.##########.#..##.########.##.####....#######.#.....###.#.#.#.#.....##.#..#.#####..##......#.##.#######....##..#.#.#.###.#.##...#.###.....##.##.##.#..##....#
#.###.##..##.##..###..#..##.#..##.####..###..#..........##....##....##.########..#.....#####..##.#..###.#.#.##.##.#....##..###.#..###...##.######.##.#....#.######...##.#.##.#...#.###....#.#..#.###.#..#.#####.#.#...###.######.#.#........#.##.#####..#.#.#........#.......##.##.##########.#.....##.#...#########.#.##...##..###.#.##..####..#...#.#.#....##.###.##..##...##.....##.....##.....##..##.##...#...#######.#..#.##...#.#.##.####.#.....#######..##.#####...#.#...##.#######.####....#######.##..##.#........##...#.#...#.#####.#.####.#####.#.#.#.##..#.###.###.#######.#.....##.##.##.#............#.#.##..##.###..######..#.......##.#####..##.##..#.####
#..##.###.#...##..##.######.####.......#######.###.#.##..#.#.##..#.##.......##..##.##.###..#.##..##.#######.##.##.#.######.##..##...##.##.......#....######......##.#####..#####.#...##.#.....##.###.#.##.....#.#.#.###.#.#.######.##.##.##..........##.#.#.#.###.#.###.###.##..##.....#.##.#.##.#####.#.###.#.##.##.#..#.#..##..########...##.######.#.#.##..###.#..#######.##.######.#.#..#.#.#.###.......#...#.......#.#.####..###.........###.#.###...#.##.##.#...##.########...#.##.#.##.#.#####.#.######......#.#######.###.##.####.#.......#....#.#####.#.##.##...#.##......#.####.#.###..#######.##.#.##.###.#..##########...#.#####.#.######.....##..###..##....#
##..#.#...##.##..###.##........##.##.#.....##..#...#..#.########.#####.##.#####.####....#.######.#..#...######.####.....##..##..##.##...#.##.#######.##.....######...#####..##...#.###..#.#.####...#.#.##.##.##.###.##...........#.##..#..######.#.#.##.#####...#.####..#######..#.#.#...#.........#.###.......#.......#######..##...#..#.#..#.#...##########.....##.....##..##...###..#.##########...###.#####.#.#######.###.###...#.##.##.#######.##..###.#.......###....#.##.##.##.#...........#.#....###...#.#.##.#####.#.........##....#.##.##.#.##..#.######...#.#.#.#..####......#.#.#.##.....#.######..#...####...#..#...#.#.......#.#...##.###.#..#.#####..#.#.##
#..##.##.##...##.#...##.#.##.####..#.##.#.####.##.##.##.##..........##..#.##......#####....###...##...###.###..#....##.##..###.##...#######........###..#.#..#.#.###..#..##..#####...##.###....##.####.##.##..#.##...####.###.#.######.###################.##.#.#..#.##.......########.#...####.##....##.##.##...#.#.#.......##.#..#...####.####.#....##.#....###..#.#.#####.####...####..#.##....#.#.###....####....##.#####...#.############...#####.##.#...##.####.####.#............#.##.##.#.....####.#######.##.........##.#.#####.#.####.....####.##.#.#.###.####.####...###.#.#.#.#....#.###.#.....##.#######.##.##.##.###.###.#.###.#.#......#.#.####.....####.##
#.##..##.###.#######.##.#.##....#.##.##.###.#...####.##.#..#.#.#.#.###.##..##.###..#.##.##...###..##.###....#.####.##..##.##...##.#......###.##.##...##.#.##.....###.##.######...##.###.######.##....#..####.######.##......###.#.##.#..............#.......###.##...##.#########.####.#.#..##...#.##.##.##.##.#.#.#.##.######....##.####....###.##.###..##.#...#.####..#.####....###.##.##..#.######...#.####.###.#.....##.#.######..#..#.##..###.#.#.##...#..#...#..######.#.#.#.#########..#.##.#.###.#.#.##.######.##.##.#####.......###.####.#..##...........#...##..##..#...###.###.#.#.##.##....########...##.........#...#...#######.#.#.#.##.#####.###.#.##.#...#
#..##.#..#....#.#.##..#.#.##.#.##..#..#.....#.#.#.....#.##.#####.#.##..##.##....####..#..#.#########...#.#######....##..#..###..#.#.##.###.#..#.##.###..####.###.#.####..#.#.#.#######......#############.......##...###.##...#....#.########.#######.###########..#.##............#.###.#.####.##..###..##.#..#.#.#.###########.######.###.##....###.#.##..###.#...##.##.#..##.#......#....##.#.#.##.#.#..#.#.#.###.#.#..#....#.#.#.##.##..##.#.#.#.#.##.######.#.#.##..##..########.##.#.####.##.###...........##.#####..#....##.#.#.#####....###.###.###.#######.#..##.#####.#..########.#.##..##.#..#..#.#..#######.##.#...####.###.##.#####.#.##........##.#....#.#.#
#.##..##.###.##......##.####.####.##.##.##.####.##.#.##.##.##....#####.######.#...##.##.##.....##.#..#....##.#.####.##.###.#...##.#..#.....####.##.#.##.#....###...###..##...........##.##.##.#.##.##.######.#.#####.##..#..#.#.##.........#####.#.#......#.#.####.#.##.##.####.##.....###..##...##..###########.###.........##....##....##....#####.....##...#.#.####......##..#.###.##.#####.....##.#.####.#....#########.####.#....#....##..................#.###..#.##..###..##.#.........#######..###.#.#.#........#.##.##..###.#####.##.#####.#.....#.......#.#.##.....##.#.##.#...####..#.###.##...##.#.##.#.##..##.##.#######.......#.####..#.#.##.###..#.##.###.#
#..##.#...##.#..#.##..#..##.....###...###.....#.####.##.##.#####...##.......#####.....#####.#.##..#.##.##........##..#...#.#.#..#.##.##.##....###....##.####...###.....##..#.#.##########.............#.##.#.#.##.....##.#.####..###.#.#.#...........#.####......#.#.##..#....#..##.##..###..##.####......##..##..#########.#####.##..####..##.......##.####.##.#.##.#.########.#...####...#.#.#####..#.##.#...##...#.#.###....#.#.####.######.#.####.#.#.######.###.##..##.##..###.#.##.##.#####.#.#.###########.##.##.######..##.......#..#.#.#.#...#.###.#.#.##########.######......#....##.###.#..#.#............##.##..#..#.#.#..##.####....##.######...##.#..#.##..#
#.##..##.##..#.##.#..###.##.#.#...###.#####.###.#.....#..###.....#..##.#.##.....###.#.....#.#####....#..##.#.#####..##.#####.#.##..#.##..#.##..##.#.##..#....#.##..###....####......#...##.##.##.#.##.#.##.#####..##.##..#.#.#####...###.#.###.#.#.#.#......########.##.#####.##.#...#.##.#####.##...#.####..####........####.##.....###.#####.#.#.#..#..#.#..###....#.####.#.###.#....#.#.......#.##.#......#..#.###.......####............##.##########......###.#....##...#.##......#..###.#.#.............#.#.##..#.....#####..#.###...##.....##.##########..#.#.#.#.#...##...#.#.####.##......##.####.###.#.#.######..###.......###......##..####.#.###.####.######.#
#..##.##..##.#..#.##...#.#..#.#.#.##......#.##..##.##.#.##...##.##.##..#.#..#.#..##.#.###.###.....#.###..#.#....##.##....##..#..##.#.##.#########.#..#.####.##..##...####...####.##...##########.####......##..#.##..##.##.......#.#...###.#######.###.#.##....##.##..#.....#.########........#..###.#.#.###.#..#.##.#.#...##.###.##.........#.#.#.#.###.#.##...######..........####.#####.##.####.#####.##.##.##.....#.###...##.#####.#.#.###.........##########..#.####..#......###.###.........#.#.#.##.##...#######.#.#.....####...###....#.#..#........####.........###..#.###.#....#..##.#.#.##..##...##########..##...#####.###.#.##.#####.###.....####.##...#..###
##.#...####..#.#####.###.####.#.#####.##.##..##.#..#..########...#..##.#.#.####.###.#..#########.##...####.#.####...##.#..##.##.#..#.#.......##.#.#.#####...##.##..#.###..###.######.####.##.##.....#.##.###..##..##.#..##.##.#.##.#.#...#......##...#####..##.....#.###.#.####.#.######.##.#######..#.........##.##.#.#.#..#..######.#####.######.#.##....##.##########.#.##.#.###.....##..#..........#..#..###..#.#######.#.....######.#.#.#.#######....###...##.....##.###.#.#...######.#.##.#.##########..#..#....#.#.##.####.######...#.##.#.###.##.##....##.#####.##...##..##.#.#.#####..#.###..####.##.#.#.#....##..#.....#.....###....#####.#.###...#...#.#...####
#..#.#######.#...##..##....##.#...##...########.##.######.###..#.##.##.#.#....#...#.##......###..##.#.##...#.######..#.#.###.##.##.####.####....######..###.##.##.##...##.........##.........##.#.###..#.....##..##..##.##..###.##.#.##.####.#####.####.######.###.####..#............###########.##.#.#.#.###..#.#..#.#.####.##.#..#.#.#####.#..#.#..##.#.##..##.....##.###..#...#.#.#..######.#.###.###.##...##.#....##...#.#.#......#.#...#....#.#######...####.###......#.###.####.#.########.##.#.#.#######...####.#.##....#.#.######.#..###..#####.##.#.###.....##########.##.###.....##.#...##.#.#...........#.####.##.#.###.##...##.#..#.#......#.#...#.#.#.####.#
##.#.##......#.#####.##.##.##.###.###.####....#.#..#..........##..#..###.##.#.#.#####..##.###...###.#..##.##......##.###.##...#..#.##......####..#.#.##......#..#.#..#..##.##.##.###.###.#.#..#.#.##..###.######..#####.##.###...#.#..###.##.....#.......###.#...#....##.#.###.########.##.##.#.#.########..##.#####.###..#........##......##...##.#.##..#..##....##############.##.####.....####...###....##.###.########.##.###.##.######.##.####...###.#.###.#....#.#.######...........#...###.#............#.#..###.####.##........##..#.#####.....#.#..#...##.##.########...##.###.#.######.######...#.##.######..##...#######..#.#..#.##.....#.######.#####.#......#
#..#.##.##.#.#..##....#..#.##.#....##.#....#.##.#.##.#.##.#.#..##.####....#.###.....##..#...###.##..#.##...###.##..#..##.#..#.#.#######.########......##.##.##.####.###..#######...#########.########..##....#.#.##.....#....##.#####......#######.###.#.....##.##.####..#...#.......##..#..#...#.......##.###..###...###...#.#.##.###.##.###.#..#.#.###.#.####.#..........#..##.######..#####.####..##########.#......##..##...######..##.......##.###.#.#..##.#.######.....####.###.#####.###.###.#######.####.##...#....#..#.#.#######.##..#.###########.#.####.####.##...#####....#####...##.##..####.#.##......##.##.#.....##..###########.####......####.#######.#.#
##.###..#..#.#.##..##.#.##..####.#.##...#.############.#..#.#.##...##..##.#...##.######.#.#..##.##.##..##.###...#.###..####.#.#.#.#............#.#.####..#...#..##..#.##.......#.#..#.....##..##.####.##..#.##....##.#.##.#.##..##....#.##.......#...####.#.######....####.###.#.######.##.##.###.##########.##...###..##.#######....#..#...#.######.#.###...##.#.#.###.##...###......##..........##..##........#.##.#..##..#.####.....#####.#.#......#.#.#.###...###.###.#.##.#####...##........#....###.########..#.####.#.##.#....##.#..##...#......##.###.##...#.##....#.....##.#..#.#..####....##.####.#..####.##..#.##.######.....#.##.##...##.#######.#..##.#.#####
#...##.#####.#######..#..####....#####.##......#.#.######.#.#..##.##..##..#.#.##...##.#.####.##.##..#.##..##..###.#.#.##..#.###...###.##.#.#######....##.##.##.####....##.##.###.##...#######.....##...##.#####.####.#..#.#.###..#.#.######.#.#.###.####..#......#.##....#...#.#.........#.........#.###.....##.###.####........#.#.##.##.#.......##....##.###..#.#.#####..#...######.##.#.##.#######....###.#.##.####.##..##......######.######.#.##.....#.....#.......#.###....#.#.#.#..#.#.##...##.......#..######..########.#.##....#.####.##.#######.###..###......##.#.#.####.##.....###.#######...##.##...##.##.##.##.....##.#.###.#..##.#.#...##...#.#.##.....#.##
#########.#.....####.###....#.##...##...###.##.#...#.##.#.#.#.##..#####..##.#.##.###......##.#...########.###..##...#..##...##..#.#.#.##.#.......##.######..##....##.###...#...#..#.#.......#.#.#.##.####....##....#.#.##.#...##.###...#.####.#...#....####.##.#.######.##.#.#.#.#.#.#.#...#.##.##...#.#.#####..#...####.#.###########.##.##.########.###...##.##.#.....##.###..#######..#.##.......#.######.###.....####.####.#.#......#..##.####..#.###...#############..###.#...#.#...########.##..#######.##.#.###...##.#.###.##.#.####.##..#...#.#.#...#.######.#.###.#.#..#.#####.#####..........###...#.#..#########..#.#..#.#.....#.##..###.#....###.#.###.##....#
#.....##....##.##.....###.#######.##..#..##..#.###.#......###..##....##.##..#.#....#.##.####.##.###.###.#.#...####.###..###.###.#.#.#.##.###.######..#.##..###.#.###...##.##.######.##.#.####.#.#..#..##..##..##.#####..###.#.#....#.#......#.#.#.#.##....#..###....##########.#.#.#.####.##..#.##.#...#....#####.###..#.#...###.##..#######........#.####.###..#.##.#.##....##.......##.#..##.#.####......#######.####.####.########.#.#.###....####.##..#.........##..##.....#.#.#.#.#.#.#.####.###...............##.###..#...########.....##...#.......######.###.#...###.##....#.##.###.#.####.##.###..###.##..#....###.##.#.######.#...###.#...###.##.#........#.####
###.#....##..#######.##...##.#.##.###.#.##..#####....#.#.##...##..#.##...########.##.#.....###..........####.##......####.....#.#...#.#####.......##....##.#...###...#######.....####..#....###.#.##.####..#.###.....##.########.#.#.#.#.##.#.#.###..##.#############.....#.####.#.#.##.###..##..#.#.#...####.##......####.#.....###.##.##.#.######.#...##...#.##..#.###..######.######..#.##..#....#.#.#.###..###......##.#.##.#.#####.......##...##..##.##.#.#.##....####.#.##.#####.###....##...##.#.####.##.###..###.##...#######.##.######.####.#######.#.#...#.#.#####.##.####.#.........########.##...#.###...####.####.#.#.#.######..######...#......#.#.##.#...##
#...#.#.####..##......###......##..####..##...##..##.#.#..#.#.##.##.####......########.#.######.##.##.#..##..####.#########.#.####.##.....###.#######.###..##.###..#..##.##..###....##################.#######.#.###.##......##..#.#.#.#..###.#.##..######.#.#.##.#...#####...##.#.#......##..##.#.#.#.#.##.#.#..#.#.##.#..#.#.#...........#......#.#.#.##.###.##.##.####...#..#......##.#######.#.######.....##.######.##.#.#........##.###.###.#.#..#####..#.#####.####...####...##......#.####.###.#.##.#########..#.....#...#.##..#.......####.#...#.#.#.#.#.#####..#..#..#####....#.#.#.#...........#.#.#...##.####.....###........####..###.##########.########.#..#
##.##.#..#.##..##.#.#..###.#.#.##.##....####.####..###.#.##.#..#.#.....##.###...##.#...#.....##.##..#.#.####..##........##..###.....##.##.###.###...###.#.##....##.##.....##..#####..##........#..........#.#.....##.##.##.#####.#####.##...#######...............#.####..#.########.##.#####..#.#.#.#.#........##.####.##.###.#.#.#.#.#######.#.######..#.#####..##....###...##.#.####........###.....##.#.#..#.###.####..#...#.###.#######...#.#.##.#...##.#..#.#####.###....##.####.##.####.##...###.....##.##.#####.##.##.###.##.##.########...#.#.........#...###.##.######..##.#.#.#.#.###.#.#.#.#.#.#.#.###.....##.#.##...##.#####..##......##.##.######....##.##.#
#..##.##...##.#####.#.##...#.#..#..###.###...#..#.##...#..###.##.##.#.##....###....###.#.#####...######...##.####.##.##..##..###.#.##...#.#.......####..######.##..##.###..##....#####..##.#.#...##.###.#...##.##..#..###..###....##....######.#..##.###########.##.#..##........##..####..#############.#.#.#.######.#.##...#.###.###......######.#.#####.....##..#.#.##...#..###...##.###.##...#######..#.##.......#.###...##########....#######..#...#######...........##########.#..#....#.#########.##....##.#.#.#..######.#.##.#.......##..#.#.#.##.#.####.###.####....#...##..#.#.#.###########.#########...###....#.##.###........##..##.#..#.#.....##..#.######.#
##.##.##.#.##...###.#..##.#####.##.##..##..#...##.##.#.#.##...##.#..#..##.######.#..##.#....##.#......#####....##.##..#.##..##...#.##.#.#.###.######.#.###.###..##.##.###.######....##.#######.#..#..##.#.###..##.###...##...###.####.#......#...##..##...#.#######.#.##..#.#.#.####......##..#.#..#########.#..........##.#.#...#..##.#.##..##.##.#...###.#.###..##.#.##.#.##...#.#.##...#.#..################.#.##.......#....#...#...##......######.##.....#.#.#.########.###.#.#.##.#.##......##..##..#.##..........#######........########.########..#..##.......#.#.####.#####.###.#.....###..#####.###.##.#...###.########..#.#.#.##..##..##.....###..#.####.##.###
#...####.#.#..###...#.##....##...#.##.####.##.##...###.#..##.##..#.##.##......##.####..##.###..#.###.####...##..#.#..#####.##..#.#.##.#####....##.#..........#.##..#....#...##########....#.##########..########....##.##..#.##...##..#.#.##...#.###....#.........#.#....######.##...#######.##.#.##.#.##.#############.##.#.##.######.#..##.........#.#.###...#######.##.#.##.#########.##.##.........#.#.####.#####.#######.#...###.######.##......#....###.#.#.#..........#.#.#...###############.##..##..######.#.#....##...##.######.#.#...#.#.#.###.##....#####.......##....##.##..##.##...##........#..####.###....##.##.##.###.#########.##.##.#####.....#..##.###
#.#.#....####.###.#.#####.#.#..######...##.#...##.##...#.###.###.#.##..##.#.#.##....#####...##.#...#....#.#..#.#####..##.#####.###.#..##.##.##......####.#.######.###.#.#.#.....##.#...####..##.#.##.#####...##..#.##...##.#.#..#.###.#.#..##.##...#.#.###.#.######...##.#...##..###.....#.#.##.#.#.........#..##.....#..#.#.#.....#.####..#.######.####..####.#.#.###.#..#.##.##..##.#######..##.#.####.#..##.....##.......###.#..........#.######.##.##...#.#.#.##.####.##.....#.###.#.#.######.....#.####......##########..###.............#........##..#.##.###.#####.###..#######..##...#.#..#.########.##.####.####.......##...########.#..##..#..#.########.##....#
#.#.#.##.##.....#.#.##....####...##.#.#.##.#.#..#.#..#.#...#..##.#..##.##.###.###.###.....#..#.##.##.####.#.##.....##.......##..##.##.....#####.###..#####....#.###.#.#.#.#.#.#..#...###.##.##........##.#.#######..###.#..###.##..##.#.##.#########.#...###....##..#..###.########..#.#............#########.###.###.#.########.###...##.###########..##...####.....#.#.##.#.....##..#.....##.####........#######..###.#.#.###.#.#.#.##.#.###...####...##.######.#.....#..##.##..................##.####..##.#####..#.#.#.#.##.##.#.####.#.#.#.#.#.########..#.........#..##.###.#.##.###.#.####.....##..#..##..###...##.#.##.###.#.....##...#####.###....###.##.....####
#####.##.##.#.#####.###.#..##..#....#####..###.#####.####.##.##..#.#####...##...#...##.#.##.####..#..######.###.##.##.###.###..#####..#.###.......####...##.#.......#.###.#.#.##...#...........##.#.#............#.###..##...#.#..###.#.##...#....##.###...##.###..###.....#......##.#.#.####.#.#.#.................#.#..#######.....###..............##..###.#..#.###.#..#.###.#..#.##.#####....##.########.#...##...###.#...#.#.###..######..#....##.#####..######.##.########.#.#######.##.##.#####.##.###....###.............###....##############..##.######.####.###...........###.###..##..#.#.##.##.##..##...#..#.######...#.##.##..#..##.#...##.#........#.#....#
##.#...###..###.......####..##.#.#.######.##.....##..##...##..##.#..##...########.#.#..#..#...###.##....##....###..##..##..###..#.###.#..##.###.####...#..#.##.######..##.#.#.###.######.###.#..#.#.#.#.############.######.#####.##..#.##.#...##..#.###.#.##.....##.#######.###########..#########.#.######.###.##.####...#.#.###.#######.#######.######.##....######.#.##.#...#.##....#...##.#.##........#.#.#.####...#####.#.#...#.##..#.#.##########.##..##.##....#####....#.#.......###...#....#..#....##.#..##.###.#.#.#.#...#.##..#.#.#.#.#.#.#.###.##.###....#..##.#.##.##.#..#..##..####.#.#..#..#..##....#########..####.#.####..######...#..#####.########.#.##
#....####..#####.##.###....##..###.#..#.###..##.#########..##..###.#####...#.#########.#.##.#.#...#..#.####.#..###.###.###...####...#.#.###.##.......########...#####.#####.#...#....###...#.#.####.#.#................##....##....##.###..#.#####.#.#...####.#.#............#.###.....##...##.#.####......#...#.#####.###.......#......##########..#.#.#....####.##.############....##...#########.#.####.....###.#######..#.#.#.#.#..##.#.#.#.#.#.........##...####.###.##.#####.#.#.#...##.#####...##.###########.#.#####.#.#.#########......................#.#.######.#..###..##...####..##..#.####.##.##..#.###.##.#...##.####...##.##.##.##.##.###.#........##.#..#
####....#.##.....#...##.######...#...##...##.#.....##.#...###.####.##.##.#.........#.#.#..#.#.##.###.#####..#.##.###....##.######.#...#.##..###.###.###.##..#.#.....###.##..#.########.#.#.###....#.#.##.#.####.##.##.##..#.##..#.##....##.#.##.##.#.#.#..#.###.##.###########.#.#.###.##.#........##.#.#.####.#...##...###.##.#.#.#.#.##.#......####.#.##.#...##..#..#.#.#####...#.####.###...###..#.####.#.#..#..........##.#.#.###.##........#.#.###########.#####............#.#.###.#.##.....###.....#.#.#.##.#.....##########....##..######.##.#######.########.##.#.#####..##..#.##...##..##....#.##....##.#........###.....#.#..........##.##.....##.##.##..######
#....#.##..##.#.###.###.##.....#####....#######.#.##....#.##.....#.##....###.#.##.##.###.##.####..##..#.#..##....#####.##.......####.##.###.#....##........##.##.#.###..###.#........#.######..#.##.#..#.#...##.##..#######.##.##..##.####.###...#.###.##...######........##........#####.#.#.#.#.##..#.#....###.#....#...#..#.#.#.#.#......##.#..#.#.#....#.#..#.##.##.#.#.#.###.#...##.##..#...##.#....#.####...##.##########.#..##.#..##.#####...........##..#...##.#.#####.#.#############.##########..........#.#####..##..#.#.######.####.########.#.###.######....#..##.######.#..###..####..##......##..#...#.#.##.....##.####.##.####.##...#.#.####.##..#.###.#.#
###.########..#.##....#..###.#...##..#.###.##...#..####.#..#.##.##..#.#.###..#..#.....##..#.##...##..##.####..##...##...##.####..##..####.#.#.##.#..#.#.#.###..###.....##.###.####.#........##.###########.#.##..#####.##....#..##..#..##...#..###..##.#..#......#####.##....#.##.###.#.#.#.#####..##.###.#.####.#.#.####.#.##.###.###.#.#.#####.##.....##.#.####.#...#.#.#.#...#######..#..##.###..###.#####.#.#.#......###.####.##....###..##.#.#.#######..##...####.#....##.#........#...##........####.#.#.#.#.......##..##.#.#.#.#.#..........###.....##...#.#.#.#######.....#.#.##.#.##....##.#..###.##..##.#.#.######.#..########....##..#.#.###.##.###..##...#...#
#...#.#####..####..#.##.####.##.####.#......#.#.##.#....####.#..##.####...##.##.##.#.###.##..##.####.......##.##.####.#.#....##.####..##....#.#..##.#####...#.######.#..#.#...####.##.###.#.##..##...##############....##.#.##.##..###..#.#...##.####..##.##.###.....#.#####.#.##.......###....###.##..##.#....#.#.######.#..#..##..##.#.#....##....###..###...##.#.###.......###..##.##...########...###.#...######.##.##.#...##..###.##.##......#....#.#####..#....#.#.##..#######.##...#..#.#.#.##....#######.#.#.###.#..###.#.#.#.#.#.##########.#.###....#...#.......###.#####.###.....##########..##.##.##..#.#.....####.###.#...#.#.###.##.#...#.....##.#######.###
#.#....##.#.##.###.#######...#.....###.###########.##.#....#.#.##..#....#..#..###..####...#.##...##..#.#.#.##.##.##...#.##.####....##.##.##.#.##.#......##.##......#.#.##...#....#.##...###..##....###.#.##.#.###.#.##.##.###...#.##.#.####.#.....#.#####..#...#.#.#.#..########..############...#..##..#.#.#.####..#.#.######.##..##..#.#.#.#####.####.###..#..........#.##.##.##.##..########...###.......#......#.##......###..##....#.#########.##.....#.#.###.###.#..##...#################.####.#####.#.##.#.#######.##....................##....############.#######...........##.##..##.#.#....##########.####.##....#.#.....#####...#..#.#.#.###.#..#.........#.#
####.###....##.......##....####.######..####.#.#.####.##.#.#.#..##.##.#.#.###...##....##.######.##..####.#.#..##..#.#.###..##.##.#.##..#.##.#.##.##.#.###..##.#.####.#..##.###.###..###..#####..##.....#......#......###....##.##.##.###....#.#.#....##.#.##.#.#.###.##.......###............##.#######.#.#.#.#.###........#####..####.###.#...#####......##.##.##.######..#..........#####.##..#..###.#.#.##.#.####.##.#.###########.#.......##############.....#...###########..........##.##..###...........###......##.##.##.#.###.##.#.##.#....#.##...#........###..##.##.##.##########......#.##..#.#.##.#####.#..#.######.###...##..#.##.#.#####...#.##.#.#####...#
#......#.##..###.##.####.#.##........####.........##..##.###.##..###..###...###.##.####....#.#...##..###.#.##.#######...##.....#.#.#..####..#.##.#..#...##.##.#...##.#.##...##...##...####...##.######...##.#...##.#...#.##.####.......##.#.#.#.##.###..####.#.#..##..#.#######.############..###.##.##.#.#.#.#...#.#.##.###.######.#....###.#.....##.#.###..##.##.#...#####.#.#.####........#.#####.##########.##.#.##.#....#.###.##.#.#####.......#........#.#.#.#....###.#..#.###########..##...##.#.##.#.#..###.#.#.....#.####...#..#.######.####....#...##.###.....##...#..###.#.#.#.###.##.#####.##........#.#...##..##.#....#.####.##..######.####.####.#....##.#.#
###.#.##.##.##...##...##.#..##.##.##......###########.#...##.#..#####.###.#...#.#.....##.###.##.####...#.#.#.......######..#.###.####....##.####.##.#.####..#.#.#.##.#..##.##..#.##.#####..####.....##.########..###.########....#######..#.#.#.#..#.##....#.#.#.####.#.........##........######.....##.#.#.#...#####..#.....#.#.#..##.#####.####.##..#..###.#...#...###.###.###....#.##.#.#....###...#.#..#..#..#.####.#.#.##.#.#.##.#.....#.##.####.###################.#.##....##.#####.#.###.#..###.##.######.###.###.#....########.#.##.#####..#.#.##.#.############..########.........#######....###.#######.#.#..##.#....##.#....#####.........#.#....###.#####.#.#
#...#.#..##..#.#.##.######.###.##.##.#.######.##.#.#..#.####.#.##.......#.##.#####.#.###.....##.#.##.#.#.####.##.#.....###.#...#.#..##.###..##.###..#####..##.########.##...#.##..#.##....####..#.#.##.#####..##.##......#.#..##..#####..####.####......####.######.###.#.#####..#.###.##........##############.....######.#.......##...##......#..##.##..##.##.##.#...#...#...#.#######.###.##.....#.....##.###....#.#####.........###.##.##..#.##.................#...#.#....##..............####..##..#..........########.#.......##.####.......######..#...##.##.#.##.###.#.#.#.#####.#.##....##.#..##.........#.#.###...#.##..#.######.####.#.#.##...#.##.......#.###
##.##.##.##.######...##....##..#..##.#....#.#.##.#.##.#..##..#..###.#.###.#....##..#.##..#####.....#.###.#.....#.#.#####.####.#####......##.....###.....##.#.....##....###.####..##....#####.########....##..##...##.###...#.####.#...####....#....#.##....#..#.##....###.##.###.....#..#.#.#######..........##.#.#####..#.#.#.######.#.###.#.###.##...##..#..###..###...####.##.###.#.#.######.##.##.#.#......##.#....####.#.#.#.#...########.#....#############.###.###.#.###########.##.######.##..#.##.#.#.###.###...##..##.##.#..#......#.#.###.#.###.#.#..........................#####..#.##..##....#.#.##.##.#...##.######.#......#.##.#####..#.###..##.##.#.#.###
#...###..#...##....#..##.#.#..###..#.##.#...#.##...####.##..##.###..#...#.##.#..####.###....##.#.#####...#####.#.####.....##...#####.#.#..#.###..###.#.#####.###..####...###.#..###.#.#####.........##.#....####.##....##.##.####...#....####.#.#.##..#.#.###......##..##.....##.#.######.#.........#.#.#########.......##.#.#..###.###...#.#.#####..###..###...##.#...#.#..#.##.......#......#..#..###.###.####..#.##..#.#####.#.###.......#####.#.##...#.....####.#.............##.#######......##.##..#####...#.....#####.########.####.#.###........##.###.################.##########.#..######.#..#.##.#######.##.##.....#.####.#.###.##.##.##.##.####..####.#.#...#
#.###...##.#..####.#.#####.####.#.##.#..#.#.#....#....#..##..###...##.###.##.##..###..##.#.##..#.....###.#.....#..#.#.#.####.#...#.#.#.#.##..###.#...#..#..#...##....##.##.....##...#.....##.#########.#.#.##.######.#..#.#...##..####.###.####.#..######.#.##.##.####.####.#..#.#....######.#.#.#.####.........##.#.#.#####.##.......##.####...####...##.#.#########.##...####..#.#.#.#.##.###.#################.#..####.##.##############...##..#....###.#####.##.#.########.##.....###.#..######..###...##..###.###...##.......##....####...#.###.#.#####........####.....##....#.........##.#.##.#.##.##.......#.##..##.####.##########.#...#.#######.######...#.#.#.#
#..####.##.#.##....#..##...#.......#.##.#.#...####.#.###..##..##.#.#....###...##...####..#.##.##.#####...#.#.#.##.....#....#.#.#...#.#.#..##...#.#.#.##...######..##..#.#####.####.###.##............#.###......##.####.#.##.####..##.........#.##......#...##..#..##...###.#########...##.###.###..###.##########.#.#...###.##.#.#.#.##..##..#....#####.........##...##.#...###.#.#.#.####..##.#.#.#.###..##..##.##.##.......##.#........#.#####.##.#.....###.#.#..........######.####.#.##......#.##.###..##...#.#########.####..####..#############.....##.#.###....#.#.#..##.#...#.###.#.......###.##.##.#.########.##.......#.#.#.#......#....##.##....##.###.#####.#
##.#....#..#####.#.######.##.####.#####.#.#.#....###...#####.##..#.##.#...##.##..#....##.#######.....#.#.#####..###.###.####.#.#.###.###.##..#.#.#.#.#..#...#####.###.#..##.#...##...#####.#.##.#.####.###.######..##.###.#..#.###..###.#.#.#.#####.#.####.##..###..#####...###...###.#.....##...##...#..........#.#.#.#...#.############.########.###.#.##.#######.#.##.#####.#.#####....##.#..#.#.#.....###.##..#.....#######....#.##.###..##.#.######.#...#.....##########.#..#..#.#.#.##.######......#.##..#.#.......#.#....##....##....###....###.##.###.#..##.#.##.#########.###...#####.#.#.###.#...#.#.....##...###.##.#.........#.#.###.#.......##.#....#..##...#
#..#.##.##....####.....##.##.##.....##..#.####.#######...#.#..##.#.##.#.#..#.###.##.###......##..#.#######.....##....##....#.#.#...#.##...##.#.#.#.####.###.....#..##.##....#.#####.######.#..#.#....###.......##.##...##.##....###..##.###.#..#.####...##.##.#####....####.....#...#.#.##.#########.###.###.##.######.#.#####.#.##..#.##.......####.#.####...####..#..#.......####.########.##.......#.#.##...##.##.#.#####.###.######...#####.......##.#.#...###..............###.............#.########..##.####.#.##...#.#####.#.####.#.....####.####.##..##..###.....#.#.#.##...###..#.######.#.####.####.#.#..##.##....####.##.##.####...###.#####.##...#####..##.##
#.##.##..##.###.##.#.#.####..#..#.#..##.#..##........##.##.####..#.#..#.#.##..##.#....###.##.##.######.....#.#.###.#.##.##.###.#.#.#.###.###.#.#.####.#...#.##.###..###..####...##.....##..#.######.###..#.#.###...#.#######.#.##.##.#########...#.##.####..###.#.#.##..##..#.###.#####..###.###.#.###.#...#.####.#.##.####.#.....##....#.#.#.#.#.#.......###....#.##.##.###.#..........##.####.#.##.####..#.#..#########..........##.###..##.##.#.#####.#.#.#####.##.#.#.##.#######.##.####.##....#.###.#####....#######.##.....#.#.##.#.#####.......#.#.##.####.##..#.#........###...##...#.#.##.#.##.#..########.#...##.#...##..#.##....##.###.....##.##.#.....########
#.##.#..##...##....#.#..#######.######..#.##..#.##.#.#......##..#####.#.#..#.##..#.##.##..##..#.#.#..###.#####...#.#..#.#..###.#.#.#..##.##..#.#.##.....#.#.##.#.##...##...##.###..###.##.##.....##...#.##.#.##..#....##.....###............##.#....#..#.##..##.#....#.###.##..##.....##...............##.##...##.#..####.#...######.############.##.######...#.##.##.##.######.#.#.###.#...#.###..#..######.#####.###....######.#....######...#.#.....###.#.....#.##.###.##..##.#.#..#....#.##.##........#.#..#.###.##.#.##.##.####....#.....##.##.#...####..##..###.#.#.#####.##...########....#.#....##........###.#.##.##.##..#######.###.#.##.####...#.##.#######.#.#
#.##.##.###.####.#.###.##........##....##..#.##..###.#.#.######..##...####.#####.#..#..#.###.##.....##....##...#.#.####.##...###.###.##...##.#####..#.#.###..#...##.###..#..#...##...###..##.#.#.##.###..###....##.##..###.#..######.#.##.###..#.#.##.##..##....#.##.###....##.##.#######.#.#.####.########..#.##.##..#.....#.........##.##..#.#..##......###.######...#....##..#.###.....#.....##.##....##...##...#.##.#......########.##...#.#.###.###...#.##.##..#...#.##.##....####.#.####...#.######...######....#.#########..##.#.##.#.###..#.#.#....#####.##...#.#.#.#.#####.##..#####.######.##################.##..#..####.#.#####.#...##.#####.####...##...#...#
#..#.#..#......#.#...########.#.###.##.###.#.###..####.#..##.#..###.#..######....#.##.##.##...#####..###.##..#.#.#....#.##.#..##.#######.##...##...####...#.##.###....#.###.#.####.######..#.#####....#####..#.##..#####.#.##...#.#..#.##...##.#.#.##....##..##.###....#.#.##..##.####.######....#......#########....##.###.##.##.###..#.###...##....#.##..##.....##.#.##.###..##...#.#.#.####.#######.#####.###.###.#..#.##.#..#.#.##.....#####...#######.#..#..##.#.#.#.#.....##....#.#....##.##...####.#..#####.####.##.##.....#######..####..##.##########.########.#........######.#......##.#..................####..###..............##.##......#.#..#.#..#.###.###
#.#########.######.######.....#...#.##..####..###....####....#.##...##..#.#...##.#..###..##.#..#######.#####.#.####.###.#####..#.....##...########..##..#.#..#...#.##.#.##..#..##......##.##.....##.#..##...##..##.......###..#...##.#..#.######.###..##.#####....##.#.###..##.#.........#.####.####.####.######..##......#.##..#...##....##.###..########..##.#######..#...######.######....#.....##...##.#.#.........########........###..#..#######.##..#.######.#.#.#.#.##.########.#.#.########....######.#.#....#.##....##.###....#.###.########.#.#.#.#.##..##...#.#.#.####.#.#....######....#.##.##.#####.#.##....##.#.##.#.###.#.####..##.#####...#####.......###
###.........###.##..##.#..#.#.#.#.#..#.##....##...######..##.#..##.####...###.##.#.##...##..##.....#.#.##.####..##...##..#####.#.#.###..#..###.#...####.####.##.####..#.##.##.##..#.##.#...#.#########..##.###.##..##.#.####.##.#..#.##.#....##....##.##.....#.#.###.#####.##..##.##.##.##....#.#.####.#.....#.##..#.##.###.##.##.####.##..#.#.##...#.#.########..#.#####.###.#..#...#.#..#####.##.####..#.#.#.##########.....####.#.#.######.##...#.#..##.#......#.###.#.###.........#.#.#......####.#.##.##....#.##....#.#####.....#######......##.#.........##.####.##.#.#...##.#.#.####.###..#.##..#..#.....#.#####.#.##...##########....#.##..#.#######.##..##.####.#
###.##.####.....##.##....####.###.#.##..##.#..#.#...#..##..###.##..#....#...#..#.#####.##..##..##.##......#.###..##.####.#.#...#.#...#####.....#.#.##....#.######.###.###...#.##.##..#.##.########..##.##....#..##..#.#.#..#.#..#.##.##.#.#.#####.##...#.#.#######....#..#.##.##..##..#....######....#.#.###.#..#.#####...#.#...#....#..##.#......#.#.#.#.#######...#..##.......##.#...##....##..#....##................###.##########...###...###.#.#.#####.######...###...##.#.#.#.######.##.#...####.......##....##.#.......#.##.##..##.#.####....#.####.#####..#.#.##.#.##.###.......#......######.##.##.#.##...#.###.##.#......#.#####.##..##.........#.#####...##..#
#...##.##...#.#.#...#.#.##....##..#.##.##..##.###.#...####...#.##.##.##.##.##.##....##..##.##.##.....##.###.#...##...##....##.####.#..##...#.#.#.#..##.#...###..#.#.#...###.#.##.#..##.#...........#######.############.#.#######..#.##.#.#...##..##.#.###...########...##.##..##.##.##.#.####.##.####.#...###.##.#.#.##.#####.##.#.##.##....##.###.......#.##.#..#...###.#.##.#######..#.#.##..##.#.##..###.##.#########.#..##...#..##.##...####..........#.##.####.###########.#.###.#############..#.###.#..##.#..#.#.##.###########.##.....###.#......###.#.##...#.##.####...#.#####...###.##.#.#######..#.##.#.....#..###.##.#.......#..#.####.##.#.#...#...#.#....##
###.######.##.#.#.#.###.##.#.####.###...##.##.##..#.#....#.########..#..##..#####.#####.#..##..##.#########.##.#####..##.###.....######..#.#.###.####..#.#.....##...#.#####.#.##.##.##.#.####.#.#.###..##.....###.#.###...#.#.####.#..###.#.###..##..#.#...###.#.#..##.#####..#####...###.........##.....#..#..........#...##..##.#..#.#..##.##...#.###.#........##.###.###..#.......#.##.#####.#..#..##...#..#.......#.#.#.###.###.##.....#......#.#.#.#.##.......###.........###......#.##.##.#....##...#########.##########.##.##.#..##.#.#..####.####..##....#.######....#.#....#.####...#........#...##.#.##.#.##.#####....###.#.#.###.#####....###.###.#.###.#.#.###
#...#......##.#.#####....###.##.....##.##...#####.#.###.##....#.##..##.####..#.##...#.####.#..##............##...###.##....##.##.....##.##.#..##....##.#.#.#.#....###.#...#.#..#..#.####....###.####..###.###.........#.#........#.#.########.##..##.#.###.........#####...####.#...#.########.#.##..#.#.##...##.##.########..##..##.#.##.#...#.#########.######.##......##.##.###.#.#.##..#.##.#.##.####.##.##.#.##.##.#....#.......####.###.###.#.#.######.#.#######.##.##.########.#.........#.##########.##.#####.#.#............#.###.######.##...######.####...##.#.##.#.#.##.#.#.#######.##.##...#########.#.#..#.###.#.###..#.#...#..##...#.########.....#####...#
#.#.#.#.##.##.#..#..##.###....##.#.##...#.#...##..#...####.####.#..##..#####....#####.###..#.####.#####.###.##.#...#.###.#..####.#.###...###.##..#####.#.#.###.##.##....#.#.#.##.##.#....##...#......##.....##.###.#.#####.#.#.#####......##.....##..####..#.#.#.####.#..#.#.##.##.##...########....##.#..##.##..##.....#..#.#######.#.##.##.##.........#......#..#####.###.##..##########....#.#..#...##..#.######.......##...#####...####.#...#.#.#......#.#....##....######...########.###.#........#.##...#.#.##......########.#........#.#.#.####...##........####.###..#.#..#...#.....#.######..#......##.###.##.....###.##..######.#######.#........###.#...##..#.#
###.###.##.##.#.##.##...####.##..#..#.#.#.#.#####.##.####.....#.##..##..#####.#....##...##.#..##....##..##...#.#.###..##.#####.###...###.##...##..##...###...#.##..#.######.#..#..###.##..#.#.#.#.#.###.#.#..#...#.#...#.#####....###.#.###..##.####.##...##.#.#........##.......#..#.#......#####.######.#...##..###.#...####.....#.###...###..##.#.#.####.##.##....##...#..##...#...#.###.#####.######..##..##.###.#.#.#####..##.#####.#..#.#.#.#.#.#.#.##.##.#..#.#####.....#.....####..#####.###.#....###.#.#....######.#...####.#.####.....#.#.#######.######.##...#########.#.#...###........#####.#.###..#######.##########.....##....##...#.#.##.#####.#.#.##.####
#....####..##.#....##.#...####..#####.#.#.###.....##....##.####....####..##...#.##..#.#######..##.#..##.###.####...##.##.......##..###...##.#.##.###.#.#####.#.#..##...#.####.#####...#..####.#.#.#.#.###.#.###.##.#.###.##.##.####...#.##..##.....#..##.##..###.##########.##.#.#.##.#.##.#.....###...######..##...#.##.##.##.#######...####..##..#####.##########.###.#######.#...###.#.#....##..##.#..####......###.#.....##.....#.#....###################..##.......#.###.###.#..#.#.##.#####.######..##.....##..........###.###########.#.#.......##......##..#.###.#.#.#.#.#.##.#####.#.#.###.#.#.#...##.#.##.##...##.###.########.#######.#.#.##.....#.#.#.##....#
##.#...##.##..##.#.##.#.###....##.##..#.######.##..##.#.##..##..##...##.#####.#..##....#...##.##..#.###..##...##.###..##.#####..##...#.#.##.#.##...###....##.#.##..#.#......#.....##.###.#.########.#.#####..##.##.#.........#....##.##..##..##.####.##...######....####.############.#.#####.##.....#...#.########.#..####.##.##.####.#.#....#######.#....##.#.#####.####.##...#.#.#.#...#.######....##....##.###...###.###..###.#.....##..##.#.#.#.#.......##..##.#.####...#..#######.#.....#.#...#.####....##.#####.##.#.#..............##.#...#########.#######.............#####.....######..#....#.######.#.....#.#.........#.#...#..######.#.#####.####.#.####.####
#..##.##..##.###.#.#..#...###.###....##.##..#####.###.#####..##.###.##....###.##..#.##...###..##.####.#.##..###...#####......#.###.##########..##.###..##.##.####.####.#.#.####.####..##.#.......##......##.##...#.#.##.#.#.##.####..##.#######.####..##.##......##.......##..#.#.#.#.#...#.#.##.##.####......#.######.............#.#####.##.#.###.#...##............###...##.##.#.#...#.#....##..####..#.##...####...#..##.###..##.#.####......#.....###########..####...####...#.....#.#.#.....#.....##.#####.#...#..#####.##.#.#####.#..#.###.####.#.#........##.#.##.##.##########.###.#######.####........#.########.#.#.#.##...######.##...#....##....#.#.###...###
#####..##.##.##..####.#.####....#.#.###.###.........#.....#.###..##.###.#.#...##.##.#..#...#.##...###....##..##.#..##...##.###.##...........####....##.##.##....#...####.#..##.....#.##....###.#.##.#.####...##.##.#..#.###.##...##.###..#.#.......##..######.#.##..#.#.#....##...#.###.###....#..#...##.##.###......#.#.#####.#.#...##.####..........#.##.#.#.##.###...#.######..#.#.######.#####...###.#..###...##.###.##....##.####....#.###.##.##########....##......#...####...##.##.###.##.#########.....#...#######.####..#.....###.##..##..........#####.#####..####.##.#.#.##.......#.##.#...###########.#.####.###.#.#....#...###...##.##.#.##..#.######.#.#...#
#.....##..##..##..##..#.##.##.###.#.##...##.#.#.#.#####.###...#.##....#.####.########.###.######.##.##.#.##.#####.####.###..##..###.###.###.##...##.##.##..#.#.##.#.#.#####..##.####.##.##...#.###..#....###.##.##.##.#..##..##.###...##...#.#.#.#####...#.#..#..#.##.#.##.#....#...##....###.#######..####.....#.#.#########..#####.....##..#.#.#.#.##..#.#.#.##...###.......#######...##.###.#.###..##.##.#...####.##...###.###....####.#####...............#.##..##.#######..##.##...#.#####..........#.#.###.#............##.################.##.#.#.#...#####.####....#......#..##.####...##...#..##.#.#.###.....#...####.###.##.#.....#..#..#######.#.....##...#.###
##.#.##..##..##..####.###..##...#.#.##.#.##.#.#.#....##..##########.#.####..........#.#...#.##......##.#.##.....#..#.#...#.##..##.....####...##.##..##..##.#####..#.......#.##.....###...##.##..######.#...#.#...#.#..#.##..###...#.####.#######.##..##.##...##.##.####.##.####.#.#####.#...#...##..##..#.###############...##.##..#.######.##.#.#.#.#..##.#.#..##.#####.##.#..#..###.#.....##.#...#.##...#.#.#..#.#..###..##...##.#....#.....##.##.######.#.##..##.##...###...##...#######...#.#.##.##.##.#..##.#.###.##.#.####.....###....###.#.####.###.#....#.....#.#.#######...##.....#####..######..#.#.#.#.#.#...#....#...#..#.###.####.#.####.....##.#.###.#.#...#
#..#.###..##.#..##......##..#.########.###..#.####.#####.........##.####.##.#.#.#####.#.#....####.#.##.#.##.##.##.##...###.##.#####.#....##.###.#####..##......##.#.###.#.#####.##...#.###...##.#.##.###.#.#.##.##.#.######...#.#.###.......#.#.....##...##.###..#.#.##..#...##.#.##..#.#.#######..####...##.##.##.#.#.#..#.##....##......#.##.#.#.###.#####.#.###.....#########.##.#.########...#.#####.##.#.##...##...##.##.######.#####.###########.################.##.#.####.#..###.##.#######..#####.#####.#...##########..###.....##.....#..#####...######.##.######.....#.#..##.##...###.###...##.#.....#.###.#####.###.##.##..#########....####.#######.#.#.##.##
#.##..##.##..##..##.#.#..##.....##.#....##.##.#.....##...###.#########......###.....######.#..########.#.#..#####..###...#.#.....##.#.####..##......##..#.###.###.#..####.##....##.#.#..##.####......#######.##..#.#......#.############.##...##.####..###..#...##....#.##.#.#..#....##.#..#......##.####..#.##....#.#.#.##..#.#.##..###.##.##.#.#.##..#.###.###...#.#.....#.###..#............#######...##.#.#..#.##.#..#.#.......#....##........###.....#.#.##.#..##..........####............######.##......#.###..##.#.#..##.#######..#.######....##.#.........###.#.####.######.##..#.#...#.#...####.#.#####..##....##...###...##...#..#.#####..##......##..#.###..##
#.##.##..###..##.##.#.######.##....#.#.###.####.#.#.####...#.........##.###..##.###..##....##........#.####...#.#.##...######.#.##..#....##.##.##.#.###.####....#.##...##.##.#.###.#.#.##.....#.#.##.......####.##.##.##.##....#.#.....#.######...#.####...###.##..#.##..#.####.##.#.##.##...#.#.##....###......##........######.###...#.##..###.#####.....#...##.##.#.#.#...#...##.#####.##.#.......###..######.#.##.##.###.##.######.###.#.#.####.#.###........#.####.##.#######.##.######.####.#.....#.###########........##.....#.#####......##.#..#.##.##########....#.#......###..#####.##...###..#.#....#..####.###..#...#####..#...##.....#.####.#.#..#.#######..#
###..###.#...##...#.#...##....##.#.#.#...###....#.#..##..#.##.##.#.####.##..##....####..#.####.#########..#.#...######.####.###..##.###.##..#...#####......##.#######.##...#####.#.###.#..#.###.#.##.##.#####.#..####.######.#.....#.#.#.#......#.....##.####...##.#..#.####.....#.#..####.#######..##..###.###.##.#.##.#..#...###.##.##..#.##......##.##.##.######..###.###...#.......##################....##..#.##.####...##......#...#####.........##.######.....##.##....#.#..##......#..#.....#.#####.........#.#.###.#####.#.......#.#.#.##########......##.#.##.###...####...##..##.#....#...##.....##...###.....##.#.#.....##.#.#....##.##..##..####...#.##.###.#
####..##.#.#.##.#.#.##.###.##.##.#.#.#.#.######.###.###.##..###..#.##....##..###.########..##..........##...#.#...##.....#..######...#####.####....####.####....##.#..#######....#..##.#.##..##.###...#..#....#.##......#.#..#.###.#.#.#.#####.##.#####.....###.#..#.#########.#.#.#.##.......#.##.####...#...#..###..####...#.....####..##.##.#.#.###.#######..##..###...##.#.#.#.###...#.##.###...#...###.##..##.##..#####..#.##.###.####.##.###.#.#..#......##.##.#..#######.#.##..#.#.###...#.#.####.###.#################.####.#.############..#######.#.#.#...........#.##.###..##....#.#.##.#..#.#######.##...#.########.#.######.#.##.##########....#.#....#.#.#.#
#..#.###.###..###.#..###...##..#####.#.#...##...##....####.#######..###.##..##..........##..##.##.###.#####.###.#.###.##...##....###.....#.#.#..####....##.####....##..#.##...##.##..###..##.#...##.#.#.##.#.##..####.#...##.#..######.#.##.....#..###..#.########.#....##.###.#.###..##.#.##.........##.##.####...##.##.###########..##..########.#...........####.#.#.#.##.###.#.##..#..........###.#########.##.###.....##.###....#......##...#.#######.#.####..####............######...##.########..#.....#.###.#.#...#.#.#.####...#..#.#...#.##..#.######...#.##.####.#.....###.###.###.#..####......##.########........###...#..#.#.##...#.##.#.####.#.##.#.....#.#
##.....#..##.##...##...#######....##.#.##.##..#..#.#.####.......##.###..#..####.#.########.#####....#.#.......#.###....#.#....#######.#.##...##...##.##.#....##.#.####....#.####..#.##...#######..###.#....#######....##.######...#.##.#.#..###.#.##.##.#......##..#.##......#.#.###.##..#..##.#.#.##.##..#...######.................####.###....####.####.#.#...##...#.#..#..##.#.##.##.##.###.#..........#..######...#.####...##.######.######.#.##.#..#.#....#.##....#.#.#.##.###.#.##.#.####.#.##.##.#.#.#.#...#.#...###.#.#....#.#...##.#.###.##.##.....##.######....#####.#...#...#..##.#.###.#.##.#.......##.###.##.##..##.#...##.#.####..........##.#..#####.#.###
####.###.###..#.#..##.##.......#.###.#.##.##.##.##.#.##...#.##.###...#####..##..#...#.##.#...##..####.###.#.###.##..#.####.#.####..##.#.####.#..#.#..#....#####.#....##.#....#.#.##.##.#....#.#######.##.#....##.##.#..#....#.#.#....#.#.##.##..#....#####.#.####.##.##.#.#.####...#..#.##.##..#.###...#.##.#......###.#########.##.##.####.#.######.....#####.###..#.###.###..#.#.##.#...#...###.##########.####.###.##....##.###....######..##.#......##.#.####..###.####.#.##........###..##.......##...#####.###.#.###.......####.#.#.......#...#.##.#########...#.#.########.###.###.#####.....#..#####.######.#.########.##.#.#..###....##.###.######.##.....#.#..##
####.#####...##.####...##.#.#.##.##..#.#..##.##..#.#.##.#.######.#.########.##.##.#......#.#####....###...#...#.#..##....#.#....#.##..#...##.#.########.#..##.#####.##..##.#...#.####..#.##.........#.#..######..#####.###.##.#.##.#####.#..##.##.##....####.##.#.##.####.#...#######.#.##.##.##...###.####.#.#.##...####...##########.#.#.....###.##.##....##...#.##..##.#.#.##.#..###.#.##.###......##..#...#.....#..##.###..##..##........###.##.######.#.##.##.##....##.#..#.##.##########..#.#.#.#..#..#.#............##.##..#.#############.###.......##.....###.#..#.#.#############.###.##.###.....####.#.#..........#.##.#.#######.###...#######.#######.#####..#
##.....#####.##....##.##..#.#..###..#####.##.#..####.####...#....#......#.#.#..##.##.#.#.#....###.#.##..#.#.#.####..##.###.####....##.###..#.#.#........##.#...#.####..##..#.#.#....#.##.##.#.#.##.#####......#.##.#.###......#..#.....####.##.#..#..####.......###...#######......####.#...#.#..#..##....#.#.#.##.#####..#..........#.....#.#......#..##.##########..##....######.###..#.##.#.####.#..##.#.###.##.##.##..##..##..####.#.#.###.####......###.....#.##.#.##..####.##.......##...######...###.....#.###############....#..###.##..#...#.###.#..#.###..#####.#...................#..#...#.##.###.......#.#############.......#.##..#...##.....##.##..#.##..##
#..#.#.....#.###.#..#..##.###.###..###....#..##..##....##.#...####.#.#.##...##..#.#..###.######...#######.#.####.#.##....#..##..#.##..##..##.#.####.#.#.##...###.#..####..##.####.###########.#..###.#.##.#.#....#.....###.#.#######.####...##.##.##....##.##.#####.#...##..##.###....####.####.###..##.#####.#.#........###.##.#.####.#######.#.#.##.##..#......########.#......#...##.#.##.....#######.........####..##.###..##...##.#.#.##.....##.#.####..#.########.###..#####..#####.#..#.#.#.###.##.##.##.#.....##.##.....#.##...##....##.#.###.#.####.....##.....#...#.#################.##.#.#..#.....#.##.##..........##...#.#.###.###.###.#..###.....##....##.##
##.#.#.##.##..##.##.#.###...#...##...####.##..#.###.##.#..#.#...##.#.#.##.#.##.##.##...#......#.#......##.#.##.#....#.#.###.#..#########.#######.####.###..#.......##..#.###...####......##...##.....#.#..########.######..#####.###....###.##.##.###.#######.....#.#.#....##....#.##...##...##...##..#..##...#####.######.######............#.#.#.##..##...##.#........####.#.#.#.#.#######.#.#.....###.#####.#....####..#...##..#.#..#.#....##.#####....####..#.#..##...##...####.....#...##......##.##.##..###.#.###..#..#.#.#.##.####.##.......#.......#.#.#..#####.#.#####.#.###.#.#################.#.#.#..#####.######.####.########...####....###..##.###.##..#..#
#..#.#.##..#.###.##.#.##..####.###.#####..#..####...##.##.#.#.########..#.#.#...#.#..###.#.#.##.##.#.####.#....##.#.#####.#.##...##.##.####.#.#....#....##.##.#.##....##.##..#...##.##.######..##.##.#.##....####.......##..#.#....######...##..###....##.#.##.##.###.##.#..##.#.#.###.##..#..#####..##.#####..##.#...........#######.##.#.###.#.#.##.####.##..#.##.#.#....#########...##....#.##.##.........#########.####.#..#.#####.####.#..#.....##.#....####...####.##..#....#.##.##.#.##.#.####...#.###...###.#.##.#.####.#..#......###.#.##.#.##.######.##.....###...............................########.....#...#######.......##...#....#.#.##.#.###.##..#####.##
#.##.#.##.##.##..##.#..##...##.##..##..#.###..##..#.##.##.###.......##.##.####.#####...#.#.#.##.##.#....#.#.#.###.#.##.#..######..#.#...##......##...####...#####..#.##...##.#####...####.#.####...#....#.##......###.#.###...##.#####..#########...##.#....##.########..##..#.#.#...####.######.###..#...##..##....#.#.##.#.##.....#..#.#..##.#.#.##..##..###.####.#.##.#.....##....#..###.##.##..#.#.#.#.####.###......##.##.####..###....####.#.#..#.#########.####....#.###.###.####..#..#.#....#.#.....#.#.##...........##.##.#.##.#..####.####.##..#.#######.######.####.######.############.###########.#########.....#.#.#.###..#####.#.##.#....#.##..###....##..#
#.####..#.##..#.##..#.##..#.#...##....##.#...######.##..#..##.#.######..####.#.....#.###.#.###..##.#.#.##.#.#.##..#....#.###.##..##.#.#####.#.####.#....###.##.#####..##.##........####.#.#.##.#.#.#.#.##.##.#.##...#####.###..........##.##..##..#.#....#.##....#....##..#.######.#..##..#.#.#...##.##.#..##..###.#######.#....#.#.#.####.#######..##..##..##..#.######.##.####..##.##..##.##.##.####.#.#...#....#.###.###.##..#.##.######.#########.#..............###.##.##....#.#.######.#.##.######.####.#..#.##.###.#.###.##.#.##.##...##.......####...##.##....#.#....#......#..##.....#########.#.#.#..........#.#.#...#.#...##..#.##.#.#####.#.#..##..##.##..#.##
#.#....##.#..##..####..##.###.###..##..#.##.#######..#.##.##..#...##.##..##....###.#...#.#...##.##.#.#..#.#.#####.#.##........##........##..#.#....##.###......#.#######..##.#.#.#.............#.#.#.#..#.##.#..#.#..#.#..###.#.#.#.##.....##....##.#.#.##..##.#...#.####.#.....##.#.####...#...#..######.##..##......##.###.#.##.###..##...#.#.###..#.##..####......#.###.....#########..#.#..##...######.#...####.#.###.#####..........##........##.##.##.#.#.##.########..##.###......##..#.##...##.#....#.#.##.#....#.###.#.####..#..##.##..#.#.#..##..#....##.####.######.#.#####....#####...............#.#.########.##.##.###..##....###..##...#.#.####..#..#.#####
####.#.####.##..##....###.##....##.##.##.#..#.##....##.##..##.#.#.....####..##...####.####.###...###.##.###.#.....#.##.#.#.#.##..#.#.##..#.######.##...####.##.........#.##..#.####.#.####.##.##.#.#.#.#####.#.##.##.....##.###.#.###..#.####.#.##..#.#..####..##.####.######.#.####..##..#...#######.#####..####.###......######...#.##..#.......#.##.#..##.####.####...##.##..##....##.####.###.#...#..###.#.........##.##.###.##.#######.#.###.##...####.#.#..#........##..###...####..####.#..###..#.#.##.########.######.###.##.#####..##.##.#.##....##.########....#######.....#.#.#####..####.##.###.#.#.#......########....####..#.###..####.##.#....####.####.###
##.#.#..##..#########...#####.####.#####.##.#....#.##...##..#.###.########.##..#....#...##...##.##...##...#.##.####..#.#.#.#.##.##.###..####......###.##....#..##.#.########.#..##..#...#####..###.#.#.#...#.#.##.##.##.##....#######.##.##.###..##.###.##....##...##..#.#.####..##..##..##.#............##.####....#.#.#####...#########.##.######.##.##.##.#.#..####.####.######.####...###...###.###.##########.#.#.........#.##.......###...#####.###.###.#.###.#.#.#####...###....#.#####.####.##.##########.##...............#.#..###..######.###.####.....##...##.......#########.......#######..#########.#.##...##.#########.##.###...##..#.#..#.#.###.###.....##
#....##..##...##......#...##...##......#..#.#.##.#..##.##..##..##..##.......##.#.#.#######.#..#..##.####.##.#....##.####.###..#.##.####....###.#.##...##.##.#.#########..##..#.######.#.....##..##.#.#...#######...#..#....#####.##.####.....##.##...##..##.###..#..##.......#####..####.#..#.####.#.##.###..##..##.######.#..#......#.##.##......#.##.##......##.........#...#.#....######...#..##..#..#........#######.#.#.#.#.###.########.#....##.......###...#######.#.#.###...#.##.....#..................#.##.#.#.#########.#...##.##......#..##.##.#######..####.#.#.#.......##..#####.......##....#.#.######..#......#.#.#.#..#...##.##..##.##.#.#......#..#.#..#
#.##.##.##..#..#####.##.####.#..##.#.####.#.#..###.#######..##.##.####.#.#.##..#.#.......#.########...##.##.#.#.##..#.####...##..#.#.##.#.##...#..##.##...###...##.#....###.##...#######.#####.##..#.#.#....#.######.##.##.....#.....#.##.##.##.###.####.##...##.##....##.##....###....###.##.######.##...##.##.##...#.##....###.#.#...##..##.###.#.#..###.#.####.#####.###.#.....##..#...##.##.####...##.######...##.##.#####.###.#........#.##.#####.#.##.####.###.#.#....#..##.###..##.####.####.#.#.#.#####....###.#...#.....#######...###.####.###............###.###.###.#.#.#####....############.#.#........##.##.#####.#.#...##.#..#.#..#####..#.#.#.##...####.##
#..#..#..##.##.##.....#..##..##.#..#....#.#.#.##....##.....##..##....#.#.#..##.#.##.##.#.#.....##...#.#...#.#.#..##.....##.#.##.##...##.#.##.#.##.##..#.#.##..#......#.##...##.#.....##......#..##.#.#.#.##.......##.##.#..#.#...#.#...##..#.##...#.##....##.##...##.#..#..#.#.##...#.##...##......#..##.##...#.#..#......#.##...#.#.#..##..#...#.#.##.#...#..##......#...#.#.##.####...#.#..##..##..#........##.#....##....##..##...#.#.#.##.##.....#.#..#....#.........#.##.##...##.##....##....#.#.#.#.....##.#...#.#.#...#.#.........#..##...##...##.#.##.##.#.......#...#.#.#.....##.#............#.#...#.#.#.##..##...........#..#.##.#...##.....##.#.#..##.##.....#
########################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################E#

#S##########################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################
#..#.##.##.##.....#.##..#.##...##........###..##.#..##.#..#.##..........#.#.#...##.##.#..##.##..##.##...##....##..##.##.#.##.#.##..#..##.##.#......##....##..##.##..#.#.#....##..#.#.##........#.##.#..##.#....#.##....#.#...#..#.##.....#..#.##.##.#.#.##.#.#...#..##.....#..##.##....#...##..##....##.#..##...##.#.....#.##.##...##...#.#...#.#.##.##...##...#.#.#.##.......##...##.......#..#...##...#.....##.##.......#.#......#.##...#.##.....#...#.##..#.##.....##...#.##.....##.......#.#.##..#.#.#..##..##........#....#.#....##.....#.#.##..#.#...##..........##.....#.#.#..##....#...##..#.##..##.......##..##.......#.....#......##.#..#.#..##..#.#.#.#...##.#..#.#......#.#....##...##.##.#.##.##.#.##.##.##.#.#
##...##.##.######.#..##.#.####.#######.#..#..##....##..##....########.###.#...###.......##..##.##...##.##..#####.##..#..#.##....##.##..#.#..#####.######.##.###..##.....###.##..##.#.###.#####.#.##...###.#.####..###.##.###.#.##..###.#...##.#..##.#...##.#.###...##..#.###.##...##.###.####.####.###..#.#####.##.#####....#.#..######.#...#.#....#.####..###.......##.#.##.#####..###.#####.##.####.#.#.######.#..#######.#.##.#...##.###.######.#.###..##.#..##.####..#....##.####..#####.#.#..##.#...#.###.###.##.#####.####...########.##....#.##.###..#.#.###.######.####...##.#..#.##.#..##.#.##.##..###.#####.##.#######.#####.#######.#.##.##..##.....#.#.###....##.#.####.#...#.##..###...........#.#.#...#.##.#.#
####.##.##.#..##..#.##.....##...##.....##...######.##.######.###......###.##.########.#####.......#.##..##..#.#...##.##...###.###..##.##...##.#....##.##.##...##.#..#####...#..##....#.####.#.....##.###.....#.##..##.##..##...###.#.#####.##.##.##...###........###..#####...###.##...#.##....##....##....##...#...##.####.#.#.##.##.....########...#..##.#.##.#######.########.##..##...#......##.###......#.#...###...##....#.######.....#.#.#........##..#.##..#.#..#######..#.#####.#.......##..#.###...#.#.###......#...##.###.#.#..#.###.###.##.#...#######.....##..##...####.#.####..####..#.....##.#####..##.##.....###....##..#.#.#..#.##.#..#####.###.#.#.##.###.....#.###.#######.##..#.#.##.#.##...#.###.#....#
##.#.#..##.##.###.#..####.####.############.#.##...##.#.#......##.###.#.#.##.##.##..#.##..####.#.####..####.#.#.####.####.#.#.#.##.##..##.###.#.#.##........####.##...#.###.#.######........##.#.###...##.##...##.##..##.#####..##...##..#.##.##..##.#########.#...##.##....#.#......###..####..##.####.#######.###.#.........#..#.######..#.#.##..###.##....#...##.##.....##.#...#.##..#...##.#.#...#..######.###...#.####.########..#.#####.#.##.#####..##......##...##.##.#..##..#.#..####.##..##.#.#.##.##.#..####.####.###...#....##...#.#..##.##.##.##..##.##.#####.##..####...#.#.###.##.##.#.######.#.####.#..##.#####.#.####..##.#.#.##.##.#.##..##.#.#.#..........#####..#...#.##....#.#############.##..#....#.##
#......##...#..##.#.##.....#.#..##....#.###.#.#..###....####.########.#.#.#...#.###.#.##.##.####.#.###..#.#......##....##.....#.#...##....#...###..####.#####..#.####...#.#.#....####.#####....#...##.######.####.###.#...##...#####..##....#.##.##.....##.#.#####..#..####.#####.#####..##.###.#..###...##.##..#...#########.##.#.#.#.###.#.#..##.##...####...#.##.##.##.##..###.#.#..#############.##...#..#.#.#.###..#.#.#.#.##...##.#.##.......#..#######.#.###..###..#..##.##.##.##.#.######....#......##.#.##.##.#.##...##.##.#######...#.##..#...#.##.##.....#.##.....##..###.#....##.#..##...##.#.#.....##.#.##...##.#....#.#.###.#.#.##..#....##.##.......#.######.....##...#...#####.#.#...#.##.##...##.##.#######
######.####...###.#.##.###.#.##..####.#.#.#.#.#.#######.##....##.#......#.#.###..##...#......##.....##.##...########.########.#.###.#####...#..#..###...#...##...#.#..###.#.#.####.######.####.##.###...##...#.#...##.#.######...####..####...##.#..##.###.#..##.##.##..##...#.##..##.##..#.#.#.##...###..#.###.###.........#.##.#.#.#..##.#.#.##...##.##.##.###.#.....######..##.#.#.##.##.##..#.#..##.###.##.#.#.#.#.##.#.#...###.##..#..###.###...##.#.#.###...##.###.##.##..##..#.#.....##.#####...#.####..#.##.#.....#.####.#....##..##.##.###...###..#..#####.#.##.###..#.##.#.#.####....##..#..#.#...##.##.......###..##.###............##.###.##..#..####################..#.###.#.....#.#.###.##..###.##.#....#.#.#
##.....#.#..###......#.#......#.##.#.............#.#.#...###.###.######......###..###.##.########.###...###..#..##...#.##........##..##.##.###.##.#.###.#.######...##..##...#..##..#.##...##.####.#...#.#..#.....####....##.#..###..##.#.#..#.##.#.######..##....##..#.####.##..##..#.#..##........###.#.##.....#.####.#.##....#.#...#.##..#.#.##.###..##.##..#####.####.#.#..##..........#..##.#.##..#..##.##.#........#.#.#.#.#.#.###...##.#...#.###......##..###..........##.##.##.#####.##...#.#.###.#..##.#.##...###....#.#.#.####..###.##.#.#.######.##...#.#.#.##...#.##..#.......###.###..#####.#.#######.#.###...##........#.#.##.#####..##...##.#.##.....##......#......############.#........#.##.#.##...#.##.#.#
#..###...##...#####.##.#####.##.#..############.##.#.###..##.#.#.###....######.#.##...##.....##.#.#.##.####.##.#####.#.######.#.##..##..####.#.#..#.###.....##.###..##..###...##..##..###.....##..#.######.##.####....####..#.##.##..#...####.#....##.#.##..##.#.###.#..#.#..##..##.#.#.########.#####.#.###.##.#.##.#.####.##...#.###..##.#...##...##.#...##...##....##.#.#.#####.###.####.###.#..##.#.##...#.##.##.##.......###.....###......########.#######.....######.###..##.##.#..##.##.#......##.#.###......#..#######.#....#.##.##..##.#.#...#.##..###.#...#....###..##.##.######.....##.#..##...###...###.#######..###.#.#######...####.###.##....##.#####..#.##...##.#.#.##..####...#.########.##.#..#.######...#
####.##.##..###..#...####.#..#..##..#.#.........##.#.#...##......#.####.#...##....###....#####..#.#.##.##....#.#.#.....#.#..###.###..##.#.##.....##...##.####...###.##.##.#.#####.##.##...##.####.#...##.###...######..#.##.#.#...##.###.###..###.##....#..##..#.....#.##.#.####.##.#.#..#.#.##...##......####..#.##.###....#..#.....##.##.#.#####.##..###..#.#####.####.#.#..#.#..#.###.##.....##.#.....##.##.##..#..#####.#...#.#####.##.###.....#..#..##.##..#.#..#.#.######..#.##.##.##.#######.######.#...#########.##......####.##..##.##.#.#.###.##.##.#.###.#.##########.#....##.#####.##.#.###.#...#.####.....#.###...#####.#.#.#####.....#...#.##.##..#.#..#####.#..###....##..#.###...###.##.#....##....#.#...#.#
###......#.##.##...#..##..##.##.#..##.#.#.##.##.#..#.###.###.#.#...#....#.#######..####.##.#.##.#.#.#...####.#.#...#####.##.##..#...###...##.#.#..#.####....#.#......#.##.#.#.##.....##.###.....#...###..##..#.#.##.#.##.##.#.###.##.#.#.#.##..##.####.##.##########..........##....#.##.#.#..##.########.#.#..##.#..####.#.####.#.###...#.#....##..##.#.##...#.##.....#.#...##.##....#...#.###.##.##.####......#.#####...###.###...##..##...#.#.###.##.###..##.######....#..##.##.##..#.#...##...#...#.#..#.####.##..##.##.######.##..##.#..........##.##.#....###.#......##......##..#..##............#####.#..##.####..##.####.#.......#..#####.#.###..####.##.#.##.#.########.#####.##.#.#.###.#.#....#####.##...#.#####
#.####.#....#..######.#..##..##...##..###.####..##....#...######.#.##.#....#.#..#.##.....#.#.##.#.#.#.###.#..#.###...##..##..##.###.#.##.#####.##...#.#..###########.#.##.#...######.####...###.#.###.#.##..##...##.#....##...#.#.#........#..##...###....#..###...#####.#.########.#.##...#.##...#.#..##.#.##.#..##.#.###########.#####.#.#.####..###.#....###..##.####.#.####..#.####.###...###..##..#.####.###.#.#.###..####...####.##..########..##...##.#....##.#.####.##.....###.#.###.####...###.#.##..#.#.#..###.##.##.##...##.##...#.########..##.###.##.....#.#######.##.#####.##..#######.######.#.#.##..#....##...#.#...#######.##..#........###.#.##.........#.#.#.###..#...#.#.#...#.#.#.#####....##.###..#..#
#..########.#.##..#.#...####.##.#..#.######.#..##..##.##.##.#.####.#####.###.##.#.######......#.#.....#.#.##...##..#####..##.#..##..#.#....##..##.###.##....##...##..#.##.##.##..##..#.######.#...##..#..##.###.##....#######.#...###.#.##.##....#.#...####.##.##.###....####.##.##....###....#.###.##..#...##.##.##.#.#.##.....##...#.#.....#.##.##.#.####...#.##..#.#..#..#.##.........##.####..##..##.#.#...#.......###...##.###..#.##.##.####.##..#.####...#####.#...##..#.###.#.....##...#.###.##.....#.##...#.##.#.#...#.###.###..##.##..####....###...#.###.#.#######..####.#.#.#..##..##.#####.##........##...#######.....####..##...##.####.#####.#...##.#.#.#####...#..#..##.###.....###.....##..##.######...##.##
#.##.#.........##.#.###.......#.##...##.##....######.....##....###..##.#.#.#....#.#.#.###.#.###.#####.#.#.###.###.##.##..###.##.#..##.#.########...##....#######..##......#.....##..##..#.##....#..##.#.#####......####..#.#..###.#.#.#.#...###.######.#.##.#..#..#.####...#..##.#####.....####.##...##...#.....#.##...#..#####.#..###.####.##..#..#.#.##.#.###....##.##.#.##.#..##########....##..##......###.#.#####.#...###....##...........#..##.##...#..####..#.#.#####.#.#.######.#####.#.##...####.##....###..#.#.#.###.#.#...#.###.#####..####...###.#..####..###..##..##....#...###.###.#..##.##.##.######.####..#.##.#####.#.####.##....#........#.#..#.######.#..#.#.##.##..##..#.#.....######.##..##.##..####.##
#....#######.####.#.#.#######.####.###...####.#.#.##.#.#.#..##.#.##..........#.##...#.#...###...#.#.#.#.#.#.#.##..#...##.##.......##.....##..##..#..#.##.#..##.##..######.##.######..##.#..###.#####........######...#..##...##...#.#######.#.#.#.#.##...##.##.##....####.##.##..#.##..##.####...###..##.######...##.###.##.#.#.##.#.#..##...##.##.#.#.#..#.#.#.####...#.#....##..##...###..####..####.###.#.#.#..#.######.#.#.######.#####.####.##...###...###...##.#..#.#..#....##....#.#.#...#..####...##.#######.#.#....##.#.###...#.#...#.##....##.##.....##.#..##.#.###.#####.##.###.#.#.....###..#.####..##...#.##...##...#......#.#..####...#####.####.##.##.##..#.####.##..##.###.######.###.#......###.###..#.#..#
####.##......#.#....#.###......##..##..####...#.#..#####...#####..#####.#.##.#####.##...######.##.#...#.#.#.#..##.#.###...####.########.####..##.##....###.##..##.##.#....#...#####.##....##....##.##.#######.###..###.##..######....#.#..#.#.#.#.#.##.####.##....####..#.....##...#####.....###..##.#######.####.##.#.#.#....#.##.#.#.##..####.##...#.#.##.#.#..#.##.##.#.######....###.##..#.##.###...####.#...##.#.#.#..#.#..##.##.##..#.###..####.#.#.###.##.###.#.##.##.#.######.###.....#.#.##.#..###....##.#......#####....###.##.#.###..##.####..##.##.#..##......##...#.#..#..##....#.#####.#.##....##..##.##.#..###..###.####.#...##..###.#..####.#...#..#.#..##..##..#..##........######.#...##.#...#.#.#.##.#.##
#.....######.#.####.#.#.##.###..##..#.##..###.#.#.###.###.######.##.########..#.#...###.###.#...#.###.......#.##....#.###..###..##.#.##.#.##.#######.###....##.#...#.####.#.#...##.....#.######..#.#...##..##.#...##.#..##.######.##.#.##.#.#.#.#....#.#..#.#####...###...##.####.##..###.######.##...#..##...###.##...#.####.#.#..#...###.#.#..#..#.#...#..#.#.##.#..##.....##.#.####.#.##.##.....#..#...##.##.##......##...#.###.#.....####.#.##..#.#.#...#.#..##..............##.....#######.#.##.##..#..####....#.##.#.....####.#.##....##.##...##..######.##.#..######..###.##.#.###.####....#..#.##.######.......#.#####..#...#####.#####.#.....##.##.##.##.##...###.####.#.###.########...##...##########.#.#.##...##
#####.##.....#.####.#.#..###.#.####.#.##.##.......##....#...##.#.......##..##.....####....#...###..####.#####..##.###...##.#.#.##..#.##.#.##..#.#..#...####.##.###.#..##..###.########.####.#...##.###..##....##.##....###...##...#.........#.#.####.#.#.##.#.####.##.##.#####.......##.#.###.......###.##..###.#.###.##.#....#.##...#.#...#.##...######...##....#.##..#.#.#.##.#.##.#.#.##.#####.##.######..#...#.####.#..###...#...#####.##.#..##.......###.#.##..####.##.##########.##...##.....#.#..##.##..##.###########.###.#.#.##.####..##.#..##.#.##........#####.##...#..#....#...##..#.##.##.#....#.#..#######..#.#..##.###..##.#..##.##.#####.#.....##.##.###.#....#.#..............######.#.#.#.#.#..#.#..#.#..#
#.###..#####.#.#..#...##..#.....##.....#.#######.######...####.######.####.#..######.###.##.#.#...##.#..###.##.##.#####.#....#..#.##.##...##.##.##...#..##..##...#.#.####..#...##..###.##.#.##.##..#.#.#####.##...##.###.#.#########.#.####...#.##.#.#....#.#.#.##.#..##.#.#######.###..#.#.###.#####....##.##.....##.#..####.#.###.####.###.####.#.#..###..###.##.##.##.######.#..#......#..#.##.........##.#.###.#.#####..##.###.#.###...#..#.#####.#####.#.#.##.####..####.#.##...#..#.#.######.#.##.##....###...###.#.#.#.##..#.#.....##..#####.##.....########.#.....####...##.####.###..####...#...####.##.....###.##.##..#.....###...##...#.#..#..##.####......##...####.#.###.#.########.#.#............##.#.##.####
#.#.##.#.#.#.#.##.##.####.##.##..#####.#.#..##.#...#.#..#..#.#.#.#....##.#.##.#####.......#.###.###..##.#.#.##.##.#.##....##...##.#...##.###.##..###.##..##.####.....#.###.##.##..##.#.##.#.#...##.#....#.#...##.##...##.#.#..###....###.####...##.#.#.####.#.#.##.#.##......##....#.##...#..##.##..##.#.##..#.#.#.#..##.###.........##...##..##....#.#####.#.#.##.....#..#.##..#.##.#.####.##.#..#.#.#.###........#.#.#...##...##.###.#.###.##.##.#...#.##.........#.####.##.#..###.#.##.###.#.##...##.##.#####..#.....#.#.#..##.#.#.######.##..##.####.#..##.##.....#.#.#..##.##...###.#.##.#.####.#.###....#..#####.#.##..##...######..######...#.##.##..#....##.#....#..........###.....##.....##.###########..#.....#.#
#....#.#.#.#....#.#..#.#...###..##..#....##.#..#.###.#####.#.#...####.......#.#...#.#.###.#.##....##.##...#.##......####.#####.##.#.####.##...##.##..#..##..#.####.###.#.#.#...##.##.#.##.#.##.##....##.#.###....##.#.##.#...##.####.#......##.##....#.##.#...#.##.#.#..########.#....##.##.##..##.#####.##.######.#.###.#.######.#######..##..#.####.##.#.........#####.##.#..##.##.#####...#.##.#######...########.....#####.##...##.#.##......#.###....##.##.#.###..##..##.#.##.#.#....##..#.#..###...#..##.##.#######.#.#.##....#......#....##..#.#..##.#...####.######.###.###.##...#..#....###...#.#.####.###......#..#####......#.####....#....#.##.##.#####.#########.#.#.#######.####.######.......###.##.#.#####.#
####...#.#.##.#.....##...#..###..##.###.##..##.#.#.#.#.##....##.##..#####.#.....#######.#.#.##.#####.##.###..####.###.#####.#..##.#..##...##.##...#####..#.##..##..#.#...#.###..#.#....##...#...######....##..#######..#.##.###.##.#######.##..#####.#..#.###.#.##...#.###.....######.#...#..##.#....##...#..##.#..#.##..#..##........####..##.....##.##.#.#.#.#.#.##..#.##.#.##..#...##.#.###.....#..#####...##.#.##.##..#.#.....###..#.#..######..##.#####.#######..##..##..#.##...#.######.#...##.#.###.##.........##..#.#....####.#.####.#####.##.#.###...###.#....#.#..##...#..##.###.##.####...###....#.......##.#...###.##.######.##.###.####.##.##.##.....#.........#.###.......#........##...####.##.#..#...#.###.#
#..###.#.#..#.#.###.###.###.#.#.###.##...##....#.#.#...#..####...##.##.########.##.##........#.##.#...#..#..##.##.#.#...##..##.##.#.#####.#..##.###.#.#.##..##..##...###...#.##.#.###.#####.#.###..##..##..##...#...##.#.##.....##.##......###..##.#.#.##.##.....###.......###.#####..###...##....#######...##..##....##...######.#####.###.##.#####...#.#.#######.##.##.##.#..##...#.......###.#.##.##..##.###..#.....#.##.#####.#.#.##...##..##..##...##...#.#.#.#.###.####.#..##.##.#.##.#.###..#.#.#......######.####.#...##...##.###..#.##.#..##.###.###.#.#.##.###.##.##.###.##...##.#....##.###...####.##############.#.......#.#.##.#####.##.##.##....######.#.#########..#.#################.#.#####.#.##.###...#.#
#.##...#...#######..#.####....#.##..###.######.#.#.###.#.###...####.##.#.#.###...#..###.###.##.#..###...##.##..##...#.#..##...........##..#.##....#.#...##.##..##..###...#......#.##..#..##.#.##..########.##.###.####.#.######.##..######.#...##....#..#.###.#.###..#.#########.#...##.#.#####.#..###.##.###..#####.#####.#.##......##.#.......#..###.#.........####..#..#.#.###.###.#.###.#.###.....#.##....##...########.#.##....#.#..###..###.####.###.###.#.#...#.#.####.#.##........#.#..###.......##.#.....#####.#.##.########..##.##..#.##.##.##..##....#.#...##....##..#...##.###.#.#.###.#.###.#.#...##.##..#.##.#...#######.#.##.#.##.....#.....##...###..#.....#.##..##.#.#...####...#.#..#..###..#..#..#..###.#
#.####.###..##.#.##...##.####.#..##..##..##.#....#.......#.###.##.#.#..#.....###...##.###........##...###...##.####.###.########.########.#....####.###.##.##.####...##########...##.##.###....##..#.##.##..#.#.#..##......#.##....##......##.######.#.##.#...###.####.###.#..##.#.#......##.##.####.#.#....##.##..#..#.#..#.###.#.###..######.##.##.#.#.##########.##.#.##.#.##..#.#####.###.##..##.##....#######...##.#.#.#.###.###...##.##..#...##.......##.#.#.###.#..##..#..###.###.##.##.#.#.########.##.#.##.#.#.#.#....##.#.#.##..##.##..#.##..##..###.##.##.######.##.##.###..##..#.####..#.#.......####.###.#.#..###.#.#####.#.##.#.####.#.#.###.##.#.#.##########..#######...###..##.##.##...##.##.##...##.###..#
#.#.#..##..###......#..#.#.##.##..#.####.##.#.##...####.##.#.#.##.#.##.###.#.....###..##..##.########...#.###...##...##...#.#.#....##.#.#...##.#.#..##..........##.#..###....####....#....###.##..##.#..###.#.#...#####.####.###.######.##.....##.#.....#.#.#.##..#.#........##..#######.##..##..##..#.##.###..###.##.#.##.#...###..###.##.#....#.#..#...#...#####.....#.##...###......##..##..##.####..##.##..##..###..#.#.#..##.##..####..##...###..#.#####..#.#.......##..##.##.....#.##...........#...#########.#.#.#...##.#..#.#....##...##.#.##.##..##...##.#..#.##.#.#.......##....##..#.##.#.#.########.#.#.#.....##.#................#..###.#..##.##.###.#..##.###..##.####..#.#.##.#...#.##.###...#.##.####.##..##
#...##.###.#.#####.###...........##.##...##.###..###...........##...##.###.#####...##..####....#.##.##.##.#.###....####.#.#.....#####.#.##.###...##.###.#####.######.##.####.#..####.#.####...###....##.#.#.#...#.##.##..#.#..##.#..#.########..#.##.####.#.#####...##.#########..##...#.#..####..##.#..#.#.#.##.#.##...#..###..##.##...##.###.##.##...###.###...##.##....##.##.#.########.#..###....##.##.##.##..##.#.##...#.##...##..#.##.##.####..####...##.....##.##..##.##..###.######.#.####.####.#..#.###..#.#.#.#.#.#####.....##....####.#.##.#..#####..#.##.#.##.#...#.#####..######.#....#........##..#.#.#.######...#########.#.#.##.###....##...#.......##....##.#...##..####.##.##.##.....##.###....##....##..#
#.#.#..#.....##.####.###.#.#.#.#....##.#.....##.#####.##.#####..##.##..#.####....####.##.#..##.#.#..##.#....#.##.#..#.###.####.####.#.#.####.###..#.#.......#.#.#.#...#.##.#.#.##.#..#..####.##...####..#.#.##.#####.#..##...##..##.#.##.......##....###.....#.####.#..#....##.#.#####.#.#.##.#..##..##.#.#...##....#.#...###..##...##.###.##..##.##.####..##..########.####.##...#.##.##....###..#####.#..##..##......####.#.####..#.##.##..#..#.##.#.###.####.#########.#...#.##......#.###.#....###..##.#...##.#.#.#.#.###.##..########.##....#.##.##.#..###.#.#..#.##.###.###..###.#.##.#.#.##...######..#.##.#.....#..###.##.#....#######..##..#.#####.##.##.#..##.####.#.###..##.#..##.......#.####.#.#.########.##.##
#.####.#####.#..#.#..#.##########.########.#..###.....##.###...###..##.#..##..##..##..#..##.####.#.##....####.####.##.##...##..##.......#.#...#..##.##.#.######.#.#.###.#..#....#.##...##.#..####..##..##.#....#.##..##..##.####.##......#.##.##..##.#.##.####.#.#..##.#.####..#..##.#.#.#.#..##..##.##.#.#.######.######.##..####.###.##..##.###.#....#..####..####.......#..#.###.....##.###.##..##.####.##.###.#.##..##......##.##.....##...##..#....#...#.#....#..#.#####.#.##.##.###..#######.#.##..#.#.####.#.#......##..##.#.#.#.########...##.#..##.#.#.#.#.##..#.##...#..##...#......#.######.#######..#.#.#####.##.#.#....##....##...##..########..#######.............##..#.#.#####.#######.#..........##.#.##..#
#..##...##...#.##.##.#.###..##.....#.##.####.##...#.#..###...#..#..###.#.########..##.##..#.#.#....#####.#..#.#.#......###.#..###.#####.#.###.##.#.....###.#.#....#..#..##.##.#...##.#.##.##.#.###..##..#.##.#....##.#..##...##..###########...#####.#......##.#.##.#....#.###...###.#.#.#...##..###..#.#.#.#..##..#.#....#..##.#..##...##.##.....#.####.##..##..##..##.####.##.....###..#..##..##.#...##..#......##########.#.##..##.########..##...##.#.###...#.##.##..##......###...#..##.##.#....##.####.##.#.#.##.###.##.###.#.#....##.##.###......##......#.#..##......#...#####...####.....##.#.....###.##.#....##.##.#.#.#####.#######.#..#######.######.#.##.##.#########..##.....##...###.##...##.#.#.###....##.##
#.####.#####.#.#..##.#.#.##..#####.#.#....#...#################...##......##..#.##.....##.#.#.###.##..##...##.#.#####.##.#.##.#.###.##....##.....#.######..#.####.##...##..######.##.####.##.#.#...##..##..#####.##..##..###..##.#.##.###....#..##.#...######..#.##.##.###.#.##.##.#.#.....#..#.##.##.#.#.#...####.#.####.##.##.##.###.###..#.##.##.####..##.#..######..##......###...####.##..##....#..##.#.##.#.....#..##..#####.#..##..#.#..###.######...###.###.....#####.#######.##.###.#..####.....##..##.#.#.##.#.###..#.#.#.#.####..##...###.##########.#.#.####.#####.######..###.###.####....#####....#...#####..#.#....##.###..#.#....##.#.##..###..#.#.########....#.##.##.#######.##......#..###########.##..##
#...##.##.#..#.#.##....#....##.#.....####.##.##.#..##..#.#.##.###.###.#####..##..####.##..#...##...##.#..####...#.#.#.##.........##..###.#######.#.#....##.#..##.....#..##........##..##..##.#.###..##.#..###.#...##..##.##..###....#.#.###.###......####...##....#.##.###...##.##.#...##.###...##.##.#.....####.#.#.#.#..#..##.##.......#.#####.##....##.##.#.##...###..##.#####.########..##.###.#.####.....####.#.##.###.###.##.#.####.#.#.##.#.##.##..#.##......#.######....##.##.##.#...##..###.###..#.###.#....#.#..#..##........##..#####..##....##.##.#.#.....##.#...#.##.##..##.....#.##.##.#..#######...###.#.##.#...####....#.##.####.#.....##.#.##...#.#.#..#.#.####.#......##.##...#.######.###...##.##...##..#
#.###...#.##.#.#.#####.###.##..###.####.#.##.#..##..##.#.#.........#......##..#.##.....##.##.###.####.##.#..###.#.#....########.##..##....#.#......#.####..##.#..##.##.###.#.##.#....###.##..#..##.##..#.##.#.#.####.###.##.##.####...#...###.######..#.###..####.#.##...##.##..##.###########.##..##.#####..#.#...#.#.##.##..#.##.###.#.....##..#..#####.#..#..##.##.##.##...##...##.#....##...##.#####..######.#.#.##.#...#.#.##.#.#.#..#.#.#..#....##.####..########..##..####..#...#.##.##..##.....##.....#.#.##.#...##.###.#####.####.#####.###.####..#....##.#.##....######..##.#..##.####...#.#.##..#.##.####....#....####.#.####.##..##....#.#..#.#.##.###.#...##.#.#..#...#.#####....###..#.######..####.####.##.##
#.#.#.###..#.#...#.###..##.###.#.#.#.#..#..#.#.###.###.....##.###.##.########.#....##.##...#.#.#..#.#.##...###....####...#.####.###.#####...#####.##..#.##.#..##..#..#.#...#########.#.#..##.#.##...##...##.#.#.##.#...#.##.##.#..###.#.###......###.##.....##.##...##.###...##.##.##.#.##.#....##.##..#.###...###.#.#.##.#..##..########.#.##..##.###....#.##.##...#.#..##.####.#..#.#.#######.....##...####....#.###..###.#.#..#.#.#.##...#.##.#.##.##..##..###..#.##.##..###.##.#.###.##....#####.#######.##...######..........#####.#...##.#..#.....##...##....###..#####.##..##....#####.##.#####....##.#.....#.####.######..#....#.#..##..##.####...#.##.###.#.#........##.######..#.#####..##....#.#.###.#..#...##..#
#.#.#...##.#.###.#.#.#.##..#.........##...##.#.##..#.############.......#..##.####.#.....#.#.#.#.##...###.##.####.##.#.###.......##...###.###.#.#.###...##.##.##.###.#########.#...#...#.##.....#.#.#..###.......#.#.###.##....#.##.#...#.#####.##.#..#.#.###..###.##..#.###.#..##.##......###.###.###.#..##.###.#........##.#..##...####.#####.##.#.####.......#.#.....##...##..#.##....##.##..########.#..#.#######..##.#.#.#.##......##.##.#..#.######..##...##....#..##......#.#.##...###.##.###.###.#.#####.##.#.#..#.#.##.#.......##.##..##.##.##.#..#######..###.#...#..#.##..####..##.##...##..####....#.#....##..###..##.#.####.##.#..##.....#.###.##.#.#.#.#####.##.......#.##...#.#.##....####.#...#.##.###.##.##
#.#.###.##.#.....#......##.#########..###..#.#.###...#.#.##.###...##.##...##....####.##.##...#.#.###.##.#....#....##.#...##.####.#..###.#.#.#...#.#.#.####.##.##.#.####.#.##.#.###...#....#.#######...##.#######.#.#..##....####....##.##.#.....##.#.####...##..##.##.##.#.#...##...##.###..##.#....##.#.##...##.######.#......#####.#.#...#.##.##....##..##.#.####.########.##.#####.#.##...##.#...##...#.##.#..##.##.##.#.#......#######..#.##.......##.##..####.####.##..##.#.#....##.###...#.#............##....#.##.#########.#.####..##.##..##.########.##.##.#.#...###.##.###.##...###..#.###..##..#.######.#.###.##.#.###.#..#.#.#....##..#.#.#..................#.#..#.#.###..##.##.#.##.#####.#.#.###.#..##...#..#
#...#.#.#..#####.#####.##..#.##.##.#.##.##...#..####.....##.....###...#.#######.#.....######.#.#..##.##.#.##...##.#..#.######.#....##.#.#...###.#.....##.#.#...#....##..#.##...#.#######.##..#.#.##.#..#..####...#...#####.##..####.#..#..#####.#.....##..###..###....##.#...######.#####..###.#.#####.#..##.###..##.#######.###.#.#.#.#.#.#.#...##.###..#########....##.##..#....#...######.#....######....#.#.##..#.....#.#.####.#..#.#..##.#..#######...#.####...##..##.#########.##......#...###.#.#.######..##.#.#..##.#.########.#..###..#.##..#.##.##..#..#......#.##...#...#.##.###.#.##.#.##..##...###..#####.#.##...#.#.##...#.#.########.#######.##.##.##.##.#######.#.#.##.#.....#.....##.#.......#.##..#.#...##
###.#.#.##..###...#.#...##..............####...##..###.#..##.#######.####.......####.###.#.#.....##...#.#####.######....##.#..###.##....##.###....##.###.#.#.#.#.#####.##..###.#..######..##.#....#.##...##..###.#.#.##.#...#.##....##.##..##...#####..##...##...##.####.###...#.#....#.##.......##.#....##....#.##..#.#.#...##..#.#.#...###.##.##..##..##.##.#.#..####..###.#.####.####.##..#.#####.##..####.#..##.###.###.###......##.##..#.#.##.#.#.#.###.##...###..##..##.#.#.#...#####.######...#####.#.#..#####.#.###.#...#..##..##...##....##.#.##..##.##.###.#.######.##.###....#.#.#..#.#.###....#...#.#####.....##.##...##.###.....#.#.#####.####.##..#.##..###.#.#######..#.#.###...#.#......##.#.##..#.##.#.#..#
#........##.#.###.#.#.###########.#.#####....#.###..#####.#######.......#.#####.#.#####....####.##..#.#..#.#..##.##..####..##..#..###.####.#.##.#..###...#.#.###.#.##...##..##.##....#.#.###.#.#########.##.##.#.#.####.##.##..####.##..#.#####...###.###.####.####.##....##.#.#.####.#..###.#.#..#.####..#.####..##.#.#.###..##.#.#.###.##.....##.##..###..#...##...###..#......##.##.#..##.#.#.#...###.##.#.#.###.##..#.#..#..#.##.....##............#.##...###.#...###.##..#.#.##.##.###.#.##.###..#.##.#.#.###.##.#...#...###.##..###.#.#####..#...##.##......##.###..#.#.....#####.......##.#..##.#####.##..#.#..######..###.##.####.####....##......#.##.##..##............###.......#.#####.####..#.###..##.######.##
#.#.#######...........###..##...###..#..###.####.##..####.#.##..####.#######....#.#.##..##..##...##.###.##.#.##...##.#..##..##.##.#...##.#.#..####..####.#.#..#....##.#####..#.#####.....#.#.#....###.##..#.#.......#.#.##.###..#.#..##.#.##..##.##.#.##..#.#..###...#.####..###.#.##.##..##.####.#.#....##.#..##.#........##.##...#..##..#####.#...##.#.##...####.#...##.#.######...#.#.##......#.###.#........##..##.##.##...#############.########.##..##.###....#..#...##.#.#.##.##.#.....##.##..##.##.....#.#.#....###.###.#.##.##.###...####.###.##..#####.##...#..##.###.#...##..#######..#.##....##...#.##.#.##.##.##...#.#....##....#.#####.#########..##..##.#.#.#.#####.#.#.#########...############..#..##.#...#
#.###.###.##.#.#.####...##.####.##..##.###...##..###.#.#..#..##.........##.####...#.#######.####..#..#..##.#..###.##...####....##.##.##..#.##....##..##..#.##...##.##.##.###...#.#.#####.#.....#.##.#..#.##.#####.#.#...##...##.#.#.###.#..##.##.#..#..##.#.#.##.###.#..##..###....##..##.#####.#...####.#..#.##..########.#...###.#.##..##.#...###..#.#..#.####...#####.......#.#.###......##.###...#...#.#.#.####....#..##.###.##.#.#.##......#####.###..#.#.#.#######.####...#.##.##.####.##...##..#.#####.##...##.####........#.....##..###..#.#.#.##.##..#...##.##.##..#.#.#######.#.###.#.##.#..#########..#.#....##.##.###.#.#.##..####..#..#.....#.#.#############.#....##...#.####.#..###.....##.##.###.##.##...#.#
#..##.#.#.########.##.###...##..#..##......###..##.#...##...#########.###..###..#.#.#..##.#.#.###...##.##....###...#.#######.#........##...##.##.###.##.##..#.######..##.#.###.#....##.....########.##.#.##.#.#.###...###..####.#.#.##....##...#.##.##.........#.#.#...##..##.####.##.##...##.#.#.####...#.##..##..#.#..#..###.##.....##.##.###.####...#.##.##.###..##.##.######.#.....##.##########.#.#####.###.###.#...###.#.#....#.#..####.###...#.#...##...#.###..##....#.#.#.##..#..###.##.#....##..##.#..##.##...##..########.#######.#.##.#.#.......##...###..##.##.##....#.#.#..#.#.#.#.##...##..#.###..##.#.####..##...#...####.##..#.##.##.#####...........##.#####.######.###......##.##.#.###.##..##.....##.####
#.###...#.#.#...........##.####.#.########.#.#.##..###.####...###......###.#.####.#.##......#..####..#.##.####.###.#....##...#.#.##.#..##.##..####....#.##.##.##.##..##....##..##.#..#####...##.#.#....#..#.#.#.##..#...##..##.......####..###...#.....####.#.##...###..##....###..##..##.##......##.###......####...##.##.#....#.#.####..#..##.#.###.##.##......##.#..............#########..##.##.......######..######..#......####...##........#######..###.#.#.#.##..######.#.###...##....####.#####..#.#.##..##.#.##.###....##..#.##.#.#.##.#.#.##########.##..###.#...####.#.#.##.........#..#####...#.##.......##..###.###.####....##.#.##..........##.##.#####.....#####.......##.#####..#######...##.######......##
#...##.##...#########.####..#.#.#...#####.......##......###.###.######..#..#.#.#..#..######.#.##.#..##.#..###...##.#.#######.#.#.####.##..###.#.#..##.#.##.##..#.###..####..##.#####.#.#.#.###..#.####.#.##.#...##.######..#######.###..#.######.###.#..########.###.##.##.####.#.####.##..####.#..#.##..##.#....##.##..#..####.###..#.##.#.##....#.#.##..#.#######...##.#######.#..####.#...##..####.#.###.##.##.#.#.#..##.###.##..#.#####.#######..#.#..##.#...#.#..#.##..##.....##.#####.#..##.....###.#.#..##....####.#...#####.##.##.#.#.#....#.#.##.##.#...##.##....###.#..#.#.##.######.##.###.##.###.#..####.###.##.....#.#....#####...##.####.###########.##..#####.#.#####.###..#.#.##.#.#.#.##.##...#.#.#.##.#..#
##.##...##.###.#..#.#.##.##...#.#.###...##.###.###.###.##...#.#.##.####...##.#.##...##..#.....##.##......##.##.##......#.#.###.###.....##.#.#...##.#....##..##.....##.##.##..#.#.##..........##...##.....##.##.##....##.##.##.#....#.##...##..#..######.#..#.#...##..#......#.#...##...##.##..####...###..###.####...##.##.#.....###.#.##....####.#.#..##...........#..###.#...####........###..##....###.#.##..#.#...##......###..##....##.......##.#.##..#...#.#.#.##..#.#####.####.#.#.#.####..#.###.#.#.#.###.#####.#...####..#.##.#..#...##.###...##..#.###..#.###.####..##...#.#...##..###......##.#.#.##..#.####...##.####.#.##..##.#.#.....######.####..##.###...#.#.#..##...#.#.##..........#.##.####.#.#....######
#...##.##..#.#.##......#.####.......##.##..#...#.###.#..###.#.#.#.......###....####..##.####.##...##.#####......##.#####.#..##########......##.######.###..##..#####..#..###.#.#.#########.####.######.#.##.##.#..####..#...#.####....###..##.##.#.####.#.##.##.####.####.###.###..##.###..##..#.###.#.#.#######...#.##.##.###.#........##.###.##.#.#.##..###########.####...####.#.#.#.####.#.######..##...##.##.#.#..#.###.#####..#.######.######.....##...#.#.#....#.##.#.##..##.....#....##..#####..#.#........##.#.#.####.#.##.##.##...####...##.####.#.#.##.#..#...##..####.##.#.#..##..##.#######.#.#.##.##..##..####.###.....#.###...#######..#.#..##..###..##.###...##..###...#.##.###.####.#.#...#.....####..#.###
###..#..##.#.#.#######.#..#######.####..######.#.##..#.##.......##.####.#.###.##.###.......#..##.##...#.######.###...##....##.##.#..#####.###..##.##....##..#.####.##...##.....#.#...##.##...#....##.###.#...#.#.##..##...###..##..####...##..#....#.#....##.#..#.#..###..#.#.#...##..#.##..##.#.#...#.#..#.##.#####..#.#..#.########.####.#...##.#.#....###..###.#.####.#.###.#..#.#.#..###.....###..###.####..#.####.#.#####..#..##..##..#......####.##..#########.##.##....##..##.##...##..##.###.##.#...##.#.#.##.#..........##....###.##....#.#..##.#.#.#..#.##.#.#####..#.#.##...##....###.##..........##.#..####..........###.####..#..#......##.#.###.##.#.###.....#.#..##...###.##.#####.####.###.##.#####.#.##.#.#
####.##..#...#..##.......##.#..#.....##..###......##...#####.#########..#.##..##..########.##.#..###.##.#.##.#...#.###..####.....##.#.#.#.#.##..#..##.#####.#..#...##.########.#.#.###.....###.####..###.###.#.#.##.#####...#.##..#######..##.####.#...####....##.#.##.##.....###..#.##..#.##....###.#.#.##.....#.#..##.##.#..#.#.#....##..###.##...##.####..##.#...##.#.#.#.#...#########.##.####.##.#.#....##....##..#.....##.##.##.####...#######.#....###.##..##.....##.#####..#########.##...#..##.##.#########..#.########.###.###....####.####..#.#.#.#.##.#..#..#.#..##.#.#..######.##......##.#######....##.##.##.#.###...#..#.#.###...##.####.#..#.....#.#.#.########.##.#.###.#....##....##..##.#...##.#.#.##...#
#..#..##...###.#########..#.##.##.##.###.#.#####.##..###..#..#.#.##..##.#.###..##...#.#.#.......##.#.##...##.##.##..#..##..###.#..#.....#....##...##....##..#.##.####.##.#.#.#.......#####..##...#..##...#.#.#...##..##.#.#.#..##.....####....###..#.#...##.####..#.##.#..#.###...##..##.#..####.#.#...#.####.#.#.##..#.#..#.##...##.#.##.###...###.##..#.##.##...####.........###.#..####.#....#..##.#.#.########..##.#.#.#.#...#.##...##.####.#.#..#.#.###...##.#..#####...##.#.####.#.#...##.###.###..#.##.#.#.###.......######.#.#.###.##.....##..##...#.#.##.##...##.#.###.#.#.##....#....#.#.##..##..#.##.####.#...#.#.###.####...#.###########...#.##.#####.#.#......##...###.......####..#####.##..##.##..#.#..##.##
##...####.##....##..#..#.##..#.##..#.#......##....##...##.#.##...###.#.....##.#####.#...#######.##.#.###.##..##.##.##.##..##.####...###.#.######.######.###.#.#...#.#.##.......#.##.##.##..###.###.#####.......#####..#.#.####..#.#####.#####.#.##.###.###.....##...##...####.###.#..###.##.#.##.....#....#.###.#..##.#.##.#..###.####..#...##.##.#.##.##.##..#.###.#..#######.......##....##.###.##....#.....##.#.##....#######.#....#...........##.###.#.##.###.##.#.##..#.##.#..#.#...###..#..##.#.#.##.##.#.#..##.#####.#...##.#....##..#####.###.####.#.#....####.#....##.........#.##.#.##########..##......#....###.#...#..#.###....#.####.#.##.##.....###......#########..#..#######..#.###.#..###.#...##...#.##..##
####..##...##.#####.##....##...##.#########.###.#..#.###.......###.#...#.#.##..##.#.#.#.##......##.#..##.#..##...#.....#.##..##.#####......#####.##.#...........###.#.############..##..##......##.#..########...#.##.#.#..##..##..##.#.#..........##....#.##.###.######.#.##.......###...#....#####.##.#.#.##..#.##.........##...#.#..##.####.##.#.#......##....#....##.#.####.#########.##...##.##.####.#####..#.###.######.##...#.###.#.###.#.###..##...##.##...#......####....##.###.#.##...##....#.##..#.#.#.##.....####.####...######..##....##.#.#......####..#...#######.####.#######....##.#.#..##..#.#.##.##...###.####...###.##......#.#.#.....#####.#.######.#..##.##.#.####.##..##.......##...#.######....##..#
##.##.###.##...#.#..#####.##.#.#..#.##..#.#..#####...#.######.##...#######.##.###.#.###..###.##....#.##..#.##..###.#####.##.##...#.######.##.##.....#####.##.####.....#.#.#.##..#..####....######..##.#.##.....###.##.#.#.####.###.#..#.##########..###.##.####.#.##..#....####.###.#.###.###.###.####..###..##....#######.#.####.#.##.....##...#...#.##.###..##...##........#####....###..##.##..#.......#.#.##....##.###.#..##.###.#.#####.#####.##..#.####.####...#########.#.##..##....###.######...#..##.....##.###...##.#.#..###.#..##.#####.##.#.###.####..##.###....#.##....#....#.###.###..#.#.##..######...#####....##..###....##.###.#.....#####.##.....##......##.............##....##.#######.#.###....######.#
#..##..##..###...##.#..##.####.#.##..##.....##.#.###....###...####.###.....##.##....##..##...#..##.#..##....##..##.##.##..#.####...#.#..#.##.#..###.#...#.#...#.#####.#.#.#..##.##...##.##.#....##.#..#..#####.....##...#..##...##.#.##........####.#.#..#...##....##.###.##.######...##....#.##....###..#..######..##.#.###..##..#..#.###.####.###....###.##.######..#.#.##.....#.####.#.##..###...#######...#####..#.#.#.##..#.#####...##...#.#..###.#.##.#...##.#....##.#.###....##..#.##.#...##.###...###.######...######...##..##...##...##...##..........#.##...#..####.##.#########..##..###.#.#.##.#####...#####.#######.####.#.##....###.#########..##.######.##########.#.##.##..#.##########......#.####.##.#.#.#
##.#..###.##.#.###....##...##..#.###..####.##........#.##.###..##..#.#####.##..####.###.####.##.#..#.#####.##..###.##..#.##..#.###.#.##.#....#.##...#.#####.###..##...#.#.#.##...#.####.#..#.#.##..##.#.##.####.#######.#.####.##..#.###.#.###.#.##.....##.####.#####..#.......##.#.#######....###.##.#.##.##.#.###..#.#..###..##.##.#.#......#.##..#####........######.###..#.###..#.#.#.#..##.##.##...#...###.#.##........##.#....#..###..###.##..##.#..#.#.###..#######...######.##.#####.#.###..#####........##..###..#.#.###..####.###.#####.##..####.#####.####.##.#.#...#.#.#.##..#.######.#.#.#.#....#.##.###..#.#.###.###..###.##.#####....###...##..#...#.#...#.#..##.#.########.......###..######....##..##.#...#
##.##.##..##.#.#...#.#####.###.#.#.##..##...###.#.#.#####.#...####.#.#.....##.###...#....#.#.##.##....#.#...##.#.#.##.##..##.#.#........##.########.....##....##..##.##.#....###....#.####...#..##.##...#..#.....#.#.##.#..##...##.#...######.....#####.#..##.#..##.##.###.######.#.##....###.##....#....#.##.#..###...#.##...##.....####.#.###.###.#.#.#.########.#..#...####..##.##.....##.##.#...##.##.###.#......##.#####....####.#####.....##.##....##.....##...#.#.#.###..##..##..##.#.#.#.#.##...#.########..##.##.#.#.#.##.##...#.#.##.##.#####.......##..##..##...#.###......##.#.#.###....#.....##.#..#.#.#.##.#.#....#..##....####....####.#.###..##.###.#.###...##..#.###.#.####.#####.##..#.##..#####.##..##.##
#..#..###.##.#.#.######..#.#.....#.#..####.##.#####.#.#.#.###..##....##.##.##.#.###.####.#.####.###.###.##.##..#.#.##.##.###...########.##.#....######.##..######.##.##.#.#########...##...#######.####.##.#####.....##...###.###....####.#.#####.##.##.#.##..##.#...#.#.....###.....####.##...####...#.##.##.#.##.#.#...#..########.##.###.#.#..##........#.........##.###.###.##..#####.##.##.###.#......##.###.#.#######...##..#......##.#####..##.####..###.##.###...#.#.##..##.##.###.#.#.#.#..###....#.....##.#.....#...#.#...###...#.##.#....######.######.###....###...#.####........#.####.#.#########..........#.#.####.######..#.####.##...#..###......#.#.#.#.#####.........#.#####.##..##.#.#..##..#...##.##..#
##.##.#.#.##.#.....##.##.#.#####.#.##.#.#..#..##.#....#.#...##.##.#######..#..#.##..##.#.#..#.###.#...#....###.#...........##.###.###......#.####.#.....##.##.#.#.#..##.#..###.####.#.####.##.##....##..#........#.####.###.....####.##.#......#........#.##.##..###...###.###.#.###..#.#.####.##.###.####.#.....#.#####.##.##.##.....#..#..#.#.###.######...##.##.#######....#..##..##.#.##.##.#.#...#######.##..###.#...##.######.######......##.#...#.##...###...##.###....##.#..#..#.#.......##.#.#.####.#####..#.#####.###.###..##.###.##.#.####.#.#...###...#.####.#.#.###.##.#.#.######..###.........##..#####.##.#.#........#.##.##..##..##.###.##.#.######.#...#..##.##.########.#.##..#..###.#.##.###...#.#...#.##
#..........#.####.###.##......#..#......#.##.###.####.#.##.##.......##.###.##...##.##..#...##.##....#...####.#.#.############...#.#...####.#..##..##.####...#.#.#...###.#.##.#......###.#......####..##.########.###..#.#.##.##.#....#..######...#####.##.##.#..##.##.##...#.#.#.######.#..###.#..##...#.#.###.#....#.#..#..##.######.##.#.##.#.##....######..###.....##.#.#########..#.#.##.#..#.#.###.#.##..#..####.###.##...##.#..##..####.###..###...#..#.####.##...##.#####.##...##.#.##.#.##..#....###.#.#.##......##..##.#...##..#.#......##...#.##.##.###....##..#.#.##.....#.#....##..##...###.#.###..##.##..##.....##.##.##..#..##..##.##......#.#...#.##.#.#.#.##...#.#...........##.#.##.#.#.##..##.#######...##
####.###.#...##...#.#..###.##.##.######.#....##..#.#....##.####.###..#.#.#.####.#...##.###.##..####.###...##.#......#..#.#..###.#.#####......####.#....###.##...#.#.##....##.######..##.#.######.#..###.....#.#...###.#...#..#######.#.##.##.#####.##......#.#.###.##..#.#.....#....##....##.#.#.####.##....##.##.###.##.##.##..##.....#.#.##......##.....#########.#.......##.##.###.#.#..#.##.#.#..#.....##.#.###.#..##.#..#.##.#.####..#.#...##...#.###.####.#...##.###.#.##.....####.####.#....##.####.#.#......######..##..#.#.##.##.#.#########.......#...###.####.#.#..#.#####.###.###.####.########.##.#...#.##..###.##..#.##.#####..##.....######...#.#..#.#.###.####.....##.##.######.#..#.#.#.##.##..#..#.#..#..#
##########.######.#...##.###...#......#.#.######.#.##.###..#.#######.......#.#..##.###.###..#.##..#####.###....##.#.#.##.#.##.#...##.#######.##.....####...####...#..####.##.#.#..##.##.#.#..#.#.##...##.##.#.##.##.#.#.###.##.##.#..#.##.#..##.......##.###...##..##.######.###.#######.##....#.##.#..##.######..#.#....##.#..#######......#.#.#.###.###.......#########.###..##..##.#.#.##.##...#.##.#####..#.......##..#.#####.....###.#.#.######...##....#..#.#..#.#.#.#.######....#.##.#####.##.....#.#...##.####..##.##..##.####.#..#......#.#######.##.####..##.#.#.#.##.###########...##......##.#..##...#############..##.......###..#.###...##.#.#####.##....##.#.##.###########.###..#.##.#.#.##..##.#.##...#####
#..##...#...##......###...####.######.....#.#.#.........##...#.##.########.#...##..##....##.#.###..##.....####.######.##...#..###.##..#.##....###.#..#.##.##.####.######..##.#.#.##..##.#.#.##.#.#..######....##..#.#.#.#.#.##.#..##.#.##.##.#####.#.##...##.###..###..##....#.#.##......###.#.#......##...#..###.#.####.#..##..#..######.#######.#.#####.#.#.#.....##.####...##..##....#.#...#.#....#.#.#.##...#.#######.....#.#.#####.#.#.#.##.#####.#..#.##.#####.#.....#.#..##..####..#.##..#..#.#####.#.########..##...#.###..##....##.######.#.####..##..#.#.###....................###..##.##.##....##..####....##....######.######.##...#######.....#.#...##.####.#........#.#.##....##......#...##.##.....##.##.#.#
#.#####.###..######...###.......#.#.#####.#...###.####.#####.#.##.#.#...##.###..##..###.##.....##.#####.###..#..##.##..##.##.##....##.#.#####..#####.#.#..##..##...##..##.##.....###.##.#.#.#..#.#.###..#####.##.##.#.#.#....#.##.##....#.....##.#######.##..####.#.#.#####.##.#.#######..####.######..###.#.##......###.##..##.#.##........##.#....###.#############....##.#####..###.##.#.######.#.#........#.#####..###.####.#.#.##......#..#...##..#.####..#.##....#####.#.####.#..##.#.###.##......##.....##...#.###.#.#.....####.####.#.#.##.#.#..##.###...#.#.##.##########.#.######.##....#####.#####.###...####..####.#.##..##..#.#..###.##.#..#####.##.##...##....########....##.########.##.###...###.###..##...#
#.#.#.#..###.##..##.###.#######......###....#######.#...##...#.##.#.###.#....#.##..##....###.####.##.#...###.#.##...#.###.##.#####....#.#.####..##.#.#.#.##..###.#..##..#..#####..##.##.#.#...##....#..##.#....#.##.#.#.#.####.....####.#.##.##...##.....##.##.#..#.#.#.##..##....###.##.##.#...##....##......##.#####.#..#.##..#..########..#.#.####.#..#.#.#......##.###...##...##.#.##...###..#.###.###.##.#.###...##.#.##.#.#.#..#.###.##.##.#####.#....##.#.#..#.##.##....##.....##..#.#...##.##.#..##.#######.#...###.#.#####.#...#.#.#...##.#.##......###.#.#.#...........###..##.#...##.#...##..###.......###.##.##.......#.####.#.##.##...#.#.##.....##..###..##.#####.#..##.###..#..##.##.##.##..###...#.##....#.#
#.#.#.##......##..#.#.#.##.##.##.##.##.####.##..##..##.###.#....#.#.#.#.####.#..#.####.#.#.#..##..#..##.##......###.#......#..#..##.#........##.#.........##.#.###.####.#.##...##....#......####.#.##.##..####.#.##...#.#.##.####.##..#.#.#######.##.#.#.......##.#.#...###....####......#..###.####.#######.##....#.#.##...##.##.##.#.#.###...#....#.#.##.#...######..#.#.#..#.#.......##.##.##.#..#...#########.##.##....##.#.#...##..#####.#.....##...##.#..#...####...##.#######.##..##.##.##...######....#.#.#.#.####..#...#.#.##.##.#.#.###..#..##.#.#####.#.....###.##.##.######..##.#####.#####.....##.##..##.#.....#########.#.....#..#.###.#.#..#######..#..###.#.#.#.#.##...###...##..##....###.#...#......#.####
#.....######.##..##.#...##..#.####.....#.#...##.###..#.#.#####.##...#.#.#.#..##....#####.#.#.####...##..##.######.#.#.#.##.#.##.##..##.#.###....##.###.#####....##.#..#....##.####.#...###.##..###.##..##.#..#.#..###.....##..##...##.#.#..##.#....########.#####.#.#.###...####..######...###...##..#.#.#.#..##.###......#.#..##.##......####.#.####........###.##.#.##...###########.##...#.##.##...#...##.####.#...#.##..#.#.#.####.##.#.#...#######.######.###.#.###.###..#..###..##.##..#..###.##.#.##.###.#.#.#..#.##.#.###.#..#.##.#...#.##.#.###.#####.#.#.###...#.##.####.##...##....###.#.#.#.##########.##...######.....#..#.##.##.##.##..#.#.##.###.#.##.##.........#.##.#..#..#####..#.####.#...####.##.##.#.##
#.#.#..##.#..###.##.#.#####...#.###.#.##.###.##.#.##.#.#.##....####.#.#.#...######..#.#.......#.###..##.#......##.....######.#..###############.####.....#.#.####..##.###.##..##.#####.#######..##.#..##..##.#.#.#######.##..#####.##.#...###.#.##..#.#.#.#..#.#......#.###...##.##.#..##.##.##.##..##.#.#.#.##...###.#####...##...####.#..##....#.##.####.#.#...........#..#.##..##...##.###.......###.#..#..#.#...#######.#........#.##.#.##.##.#.##.....##...##....##.#.#.##.##.#.##..###.#.###...#.#....##....#.#.##.#..#..##.##...##...###.##.#..#...##.#......########...##...##.####.###...#.#.......#.##.###..#...###..#####.#####.#......##.#........#.#.....###.#######..####.#.##.####.#.#.#....#....#########..#
#####.##....##.#.#.....##.###...#.###..#.#....#.#..#...#.##.##...##.....###.##.#...##.#######...###.##..##.######.###.##..##.##....#.###...#....#.####.###.#..#.##.....##.###.##..#..#.#...##..###...##..###......#.#.##.##.###.##..#...#..#..#####.#.#...##.#.#####.##.#...###...#.##.#...#.##.###.##.#.#.#..#.###.#########..###.#.#####.##.##.#.......###...#.#######.#.##..##..###....#.#.##.##...######.##.###..#.##.#.#.########.#..#.##..#...##.########.#..#####......#.#..#.###..##.#..#..#...##.####.####.#....##.##..#..###..###.....##.#.##.###..##.###...############.##...##....###...#.###.###..#..#..######.#.##..##.#.##..#.##.####.#.########.#.#.#.##.....#.#..###.#.#.##..##....#.##.##########.#.##..##
#..#...####.##.#.#.#####..#.###.#.###.##.####.#.##.###.#.#######.####.#.....##.###....###...###...#.##.##....#.#....#..#.##.....#.##...###.####.#.#.#..#.#.#.##.######..#..##.###.##.#.#.###..##.#.#####.#.####.###....#.##.##...##...###.##.#####....#.#.##...##.##.#..###...##.##.##.##.##.#..#...##.....##.#.##..##......#.##...#.#.##.....####.#.#.#...########.########..##..##.####...###...###...##.#......##.#.##...#.......##.##.#.##.##.###.....##.#..##..##.##.#####.##.#...#.###.##...######..##.#.#.##.#.#####.###.#.##.#.##.#.######.#.#..#.##.#....#.#....#..###.#..##.###..####...###.#####.##...##.##.#.#.....##..#....##.#.##.#..#........##..#.######.#####.#.##.#...#.##.#####.##.##.##.###.#.#......###
##.##.##....##.....#.##..##.#...#................#.##.....##........#######.##.##..#.##.###.#.###....#..####.#.#.#######..##.#########......###.#...##.....#.#..#.#.###...###..##.#......#.##.......##......#.#...##.#.#.#..##.######.######.##.#..######....###..##...###..#.#...#....##.##.##.#.#..####.##.....#.########.#.####.....######...##.#########..#.#.#......####..##.##...#..####..#...#####..#.######.....###.#.###.####.#.....#.#....##.#####...##..###.#.....##.##...#.#..#..##.###....##.##.#....#.#.#.##...##.#.#..#.##.#.#.#.#......##.#....######.#.##.##...##.##.#.#.##..###...#.#..##.####.#.........##.##..##.####.....####.#.##########....#.##....###...##.###.#.#...##.#.##..#............#.#.##.#
#.....#####..###.###..##.#..###.###############.##.####.###########.##.#.#..##.###.####.##.....#####...##......#.#.#.##..##......##.#####.#.....###.###.##.#.#.##.#...###..#..##..#####.##.##.###########.#...#.######.#.##..#...##.....##.#.##.##....##..##.#.##.#..###.#.######.#.##.#...#.#..####.......###.###.#..###.....#.###.#.##.#..#.###...#.#.##.##.#.#...######..#.##..####.#.##.#..####.##..##...#.##...#.####......#####....#####...#.###.#.#.###..##...#...#.#.#...#.######.##.##.###.#####.##.#.####.#.#.####.##.#...##.#..#.#.#.####.####.####.#.#.#######..###.#..##...#..#.###..###.#.##...##....#.############..#.##...#.#..#.#.....######.##.###.###.###.#.###..#.#.#...####....#.##.###.############..#
#####.#.....##.#.#.#.###...##....##.#...##..##...#.#.##...##.#......##...##.#...#...##..##.#.#..##.#.#########.#.#...##.##..#.#.###.#.#.####.##..#...##..###.#.##.#.######...####.###.#.#..#..#..##.#...#####.#.#.#.#.....##.#.#######.##..#.#..#####..####....##.##..##.#.#.##.#.#..#.###...##...#######.##.......#.##.##.##....####.##.##.#.#...#......#.##...#.###..#.##.#..##..#.#.#..#.##.#.#####.##..###..##.####..##.###.##..####..#....#####.#.#...###.#####.#.########.##..#.#....#.##.#.#...##..##.#.##.#......###.##...####.##.#.#.#..##....#...##......#..##...##...##.#..#.#.##.#.##..........#....#######.####...##.##.###.##.#.##...#.#......#.##..#...##..#..#...##.#.#.#.#####..##.#......#......##.#.##.##
##.#..#.###.##.#.#.#...##.####.####.##.####..###...#.##.####.######.####.##.###.#.####.#######.###.....#.#.....#.#.###.....######.#.....##.#####...#..#.###....##.#..##....###............##.##.##....####.#........#.###.##...#.#..##..##.....##.##..##.##.##.##.##.##..#...##.....####.###.##.###.##..#..#.#######.##.#######.##.#..##.#......#####.####.##.###.#.#.##.##...##..##.#.#.##.#..#.#.##...##.....##...##..##...##..##..###.##.##.#.##..#.#.###....#.#........##.#....##.####.#.#......#####.#..#.#....######......####.#..#.#.#.#.##..####.###..######.#####..##.##....####.##...#..######.#####.##.####..#..###.#..#..#.#.######..#.###.#.#.##.##.##.#####.#.##.####.#.........#####.#.###.####.##.......#..#
#..##.#.#..........#.###...#.#..#.#....#.###..#..###.#...#.#.##......#.#..#.#...#..##...#.#.##.#.###.###.###.#...#.#.##.####..##..####.##..##.####.##...#.###.###...######.#############.##..##..###.###...###.#########...##.##.#.##..######.##...##.#..#####.##..#.###.#.####.#####.#..#.#..#..#..###.#.##.#.###.#.##..##.....##...###.#####.##...###.##.##.#.#.#...#...#.###..##..#.#.#....##...###.##..#######.####.#..#..#.##..##.#.##..#.#..##.#.....#.##.....###.####..#.####...###.#.#.#.##....##.##.....####..#.####.#..##....##...#.#.#..###.#.##..##.####..##...###....#.##....##.###.##.####.....#.....#.##...##.#.#.##.##......####.###########..##.##.#.##....#...##....##.######.........#...#####.##.#.##.##
##.##.######.#.##.##...##.##.##.....####.#.##.##.###.###.#.#..######.#.##.#.###...##..###.#..........###.#.#####......#......##..##..#..##.........##.#.#.##....###..#..##...###..##..#...##.#..##.....##.##.#.##....##..####.##....##...###..###.##....##.#....##...#.#....#.#....##.##...##.#.##.##.....#..........###..####.#####.#.#.#.#......#####..#.##.#.....#...###.#.#.####...#.#.#.##..###.#....##..####..##....##.######.##....#.####.##..#.##########.#####..#.##........###.#.#.#.#####.#.#...##.####.###....#.###.#####.###.###.#.#.##......##.......##..###.##..##########.##..#........#.#.###.#.#...##.###....#.##..##.#####..#..##.##.#####.#.......####.##.#.#..########...#####.#.#######.##..#######..#
#..##..##..###.#...##.##......#####.#.#..#.##.#....#..##.#...##.........#.#..####.##.##...###.######...#.#...#####.##...#.#####.####.#.##########.##..#...####.##.##.#.##..###...####.#.####.#.#####.####..#....##.###..##..#.####.####.##.##..##.#####.#..##.######.#.#.##.#...#####.#..###........###.#...#.###.####...##.#...#.#..#.#.#.##.###.......##.#....#########.......#.####.#.#.###..##.#...##..##..##..##..#####....##...###.##..##...#.##.#.#.##.#.#.....#.##.##.#.##.#.##....#....#..#######.##..#.#.#...##.#.##..##.##.##..##..#....#.#######.##.####..##.#....##.#.#..##..##.##.##########.#####.#.#.##.....#.##.##.##....#.##...###.....#.#..#.#######.......####..##..#.#.####..#.#####......####.#.#.#.##
##..##..##.######.##..##.###.##...#.....##.##.###.##.##....############.#.##...#...#..##.##.###.###..###.##.##.##..#########.#....##.#.##...#.#.#########..###.##.#..#.##.######..##.....##....#.#......##.####.#..##..####....##...#.#..#.##.##...##.#.##.##.#.#.##.#.#.####.####.#..##.#.####.#.#######.#######.#..###.##.###...##.#...#.##...#.########...##.#....##.####.####..#.#.#.#..###......########.####..##.#...########.##....##.##.###.#......##...#.###.####.#..############.#.####.###.##.#.##.##.....######.##.##..##.##.####.#.####..#.##...####..##.##.#.####..#...##..##..............###...#######..#.######.##..###.##.####.#.#.#####.##.#.#.###.####.##..#.#.###.##.#.#.#..##..#..##.#######....#....#
#..##..###.#..##...##.##..#######...###.##.##...#.##....#.##..##.#..##..#.####.###.#.###.##.##......####.##.##..##...##.##...##.###.....#.#.....##.#.#....##......##.#.#..#..##..#######..##.###.###.#####..###.##.###.#.#####..#.#.#.#.##.#.....###..#.##.##.#.#.#..#.#..##.......##.#..#..###.#...#.##.....##.####.#.#.#...####....#.###..#.#####..####..####...#####.#.##...###.....#.#.##.#.#.##.###.#.#...#.##..#...####.#.##...###.##...#..##.#.#########....##.##.#.##..#.###..##.....###..#.#..#.#.##....###....##..#...##.##.##..##......##.##.##.###.##.##...#.#..#.#.##.####.###.###.#.#.########.####.#.#..##...##.#.##.##.#.##..##......#.###.##.....#.#..###..##......#..##.#.#.#.##..##.##..#..##.##.###.####
#.##..##.#.#.##..#.##.##.##.#########...##.##.#....##.###..#.###.##..##...#.##.###........#..#.##.#.##...##..##....###...##.##..#.####.##.##.##.##.#...##.#######.##...##...####.#..#.#..##..#...##....##..##............#.##..##.###.#..#.###.###.##...##.##.#...##.#.#.##..##.#####.##.#.##.####.##....#####...##..#.#.##.##.#####....###.......##....#.##..#####.##..#.##.###.#.#.#.#.#.##.#.######.....###....##.#.#####.....#.#..##..#.#.#.###.......#.#.##.#..###.....#.##.#.##.#####.##.#.##...##...#..####.########.#.###..#..#..#####.####......#.##........###.#.##.#.##..##..#.#..######...#.##.#..........#####.#....##.##...##.##..#.####.#.#.##.#####.#.##.#.######.###.###........##.....#.##.###..#.##.....#
#..##.##.#.#.#..#####.##.##..##.#..##.#.##.#####.#########....#...##..#.###.#..#.####.##.##.#######..###..##..####..#..#.#...##....###.#######.....######...###.#.##.#..#.###.#..##...##..##...####.######..#####.#.##.#....##.#...##.##...##..#.#..##.##..##.###.........##..###.##.......##...##..#.##...#.#.#.#..##.#.#..##...#.#.####.###.#####..##.#.###..#.....##...##...#.#####...........#.##..######..####....##..##.######.##..####...#.#.#######....#.#########.##..#.#.##..##...##.#..#.######.#.##..#..#..##.#...#.##.##...##..##....##.#####.####.#######..#.#..#....####.#.#.##.#.##.#......#.##.#.#.#....#######.##..##.##.....#####........#.##.#..#..#......#####.#.#.##.###.#.##.###...#....##...##.#####
##....##.......##.#.#....###.##.#.#####.##..##.#...#.#..#####.###.###....##.##.#.##....####..##..#..##...##..##.#..##.####.######.##....##.#######.##.....#...#....####.#...#.#.#####....####.##..#....##..##.#####.#####.###....####..##.####.#.#.##...##.##.####.##.#######..##.######.#####.##..####..###...####.#..#.##.####......###.#...###.##..###..###...########.#..###.###...##.##.#.#....##...#..##.##.##.#####.....##.##.###.#..###.........#.####.#..#.#.##.#.#..##.#.#..#####.##.#.##...##........##.##.##....###.##..###..##.##.####....###.#..#....##.##.....##.#####.#.#.#.#.....#####.##....#.#####.##...##.....#.##.....#####.#.#.########.##.#.##.##.######..##.#.#.##..######..#.#.###.####..####.#.#.#
####.###.#.#.#.##.#.####.#.#.##.#..#.#..##.##..#.###...##.#.....#..###.#....##...###.#..#.##.###.##.####.##.##..##.##...##.#.##....###.##....#.#...######.###...#####.....###.#.#..#####...##..##.#.######.##....####.#.....####..#.##.##..#.#...#..##.##..##......#....#.##..###...##...#.##...##....##..####..##..##.#.#....#######.#.#...#...#.#..####.##.#.###.#.#.##...##...#.######.######.#####.###.###.##.#...##.#.#####..##..##...##.##.########.##.....##.#.#......###...#.####.#..#.#..#.######.##.####.##..###.##.#..##..###....##..###.#.##.#...##.#####.#..######.#.#.#.........#.####.#...##.######.##..##########.#..##.######.#...#.#.##.###.##.#.#...#.###....###.#...#..##.#.#..##.####....###....#.#...#
####.#.#####.#..#.#.##.#.....##.#.##.##.##.###...#.###.#..##.##.##...######.####...###.##..#.#.#......##..#..##.##.#..#.#....####.##.#..####.#.###..##..#######.##..#####..##...#.##.#####..##.#.......#.#.##.####....####.##.#..##....###.#.##.##.###..##..#########.#.#..##...#.#####.##..##.##..######....##..##.#..#.##.###..###....#.#######.##..#.#.##..............######.#..###.....#.####.##..#.#.#...##.#.#.##.#.##..##..##.#..####.##...........#####......####.###.#.###..##..##.#.#.##...#.####...#....##.###....#.##..##...####..##.###....#.###...##...#.##.#.#........#.#.#.#.#......###.##....##...#####....##...#.##...#...#.#.###.#..#.#.#.##.....###.....##.#...###...###.#.##.#...#.#.####.#.####.#.###
##.....##.#####...#.##.#####......##.....#.#...###.##....######.##.####..........#.##...##...#.####.#..##...###.#....####.####.........##.##.#.#.##..##..##..##.###..#....####.##.##...###.##....#######...##...###.#......##.##..##.###...#.##.##.##..##..##.###.###.###.###.###.#.##.....##...##..#.#.#.######.##.##.#.##.....##.####......##.#.##.##.#..##.##############.##..#.##...##.##.#.##..##...#.#.###....###..#.#..##..###.##..##..##.###########..#..######.#..#.#...#.#.####....#......#.#...###.##.#.##..#.####....##..###...##.##..##..#.##..##.######..........######.###.###.#.############.####.####....#.#####...#..###.###.....#.#.##...#..##.#####..#.#.##.##.###..#.....#..#...###......#.#.###..#.###
#..##.##..#.#####.#.#....####.#########.##.##.##....####.#.##...#.....#####.####.######..#.###.##.#.#######.##..#.##.#.#...#.#########.##..#...#.#..##..####......##.###.##....##..#.###.#.##.####.##..###.##.###.####.###..#.##.###...#.#....#.##..##..##..#.#.#..#...##.#....##.#.####.#####.##..##.#...##.##.....##.#.######.##.#..##.##.##..#.##..#.##..#.####.###...#...##.##..######..#.#..##.####.#.#.#.##.######.....####.##...##.###.#...#.#..#...##.##.#..##....##.#.###....#.####.##.#####.#.###.#..#.#####...#.##.####..#####.##..##.##..#####.##.......####.#.#####....###########.....##...##...#.#......#######.####.#.##.#..##.#####.#.####.#.##........##########.#.##.#######.##.###.###.####.#.#.##.....#
#####..##.#..##.#.#.###.##....#.##.##......##..###.###......###.##.###########.#..##....##..##..#......##.#..##.###......###....##.#.#..##.###.#...###.###...####.#....#..####..#.##.##....##.###..##.##........#.##.######.#.##...##.#######......###.###.##.#.##...###....#.###.#.#.##.#.##.....##..###..#..#####.##....##.......#.###.######.#..#.##..##..........##.##.####..##..#.#...##.#.##....##..........###.##.###...##.#..###...##.#.#.#...##.###..#....#####.##..#.#.###.##.#.##.#....#####.##..##.#.##..###.#.#...#.##.##.##..#.##...##.#.#....##.######....###..##.######.......#.######.###..#...#.######.#.##..#...........###..........##....##.######..##.##.##.....#..##.##..#...##.#.#.#.##.#......##.##
#.##..##..#.##..#.#.#.#.#####....#.######.##..##...#.####.###...##.#.##....#.#.#.####.#.##.####.###.####..##.##.##..######...#####.#.#.##..##..###.#.#.#.#.#.##.#.####.##..#.##.#.#..#####......#.##..#######.###.#..###.#....####.##..##.#.###.####...#.#..#.#..###.#.#.#######...........####.###..##.##...##..##.##.#.##..#####.#.##..#.##.#.##.#..#.##..####.#####..#...#.#.###.##.###.......##.#..###.####.#.#...##.###.###....#####.##..#.###.###....##.##.###..#...##.#.#..##.##........####.##...##.......##.##....###.......#.#..##.##.####.....####..##..####.####.###...##.#.#######......#...########........#..##.####.##.######..##############.........##.##..#.##.###.#.##..###...####........#.#.##.#.#####
#.###..##.#.###.#.#.#.#..##.#.##...#.#.##.#..####.##.#..#.#.###.......####.......#.####.##..##..##..#.#..##......##..#...##.###.#..#.#.#..####.........#.###.#.....##..##.##.##.#.##..#.###.#.#.#....##..#.....#..#.##...####.#..#..##.##.#.#.#..#.###.....##.#.##.....#....##.##########.##......##.##....#####.##.#..#########.#.#..#.##.##.#..#.#.##..##.##.####.###.##.##.....#.##.##..##.####..####.#...######.###....#...####.##....###.#..#....##.####.#....##.###....#.#.###..#####.######...#.######.#.#.##..##.#..#..#######.##....##..#.#.###.##.##..##.#.##.#....#.#.#..#.......#.###.##...#####.##...########.##....#####.###..##.###.......##.#.###.########..##..#####.#....##.#.###..#.###.##......#####.#.#
#.#.##....#.#.#.....#.#.##.....#####...##.#.###.#.#..##.#...#.#######..#########...#.#...##..##.##.##.#.########.#..##.###..#.#.##.#...##.#.#..##.##.#.#...#.####.####.##.##.##.#..##....##.#####.######.#.###...##..###.####.##...##..##.#.....##..##.#.#......##.###.#.#####.#...........####.###..#####...#.#.##.##..##.##..#.....##.##.##...##.#..##.##.....#.#..##.##....#####.#...#.######.##..#.#.#.###.#.##.#.###.####.#.....###.##.#.##...####...##..#.##..#.##..####.#.#.#.###.#..##.#.###....##....######.######.##.#....##.#..#####.##...#####..#..##..#.#....##.....####.#######..#########......###.......##..###.##.#.......##..#.#.#######......###.##..###....###..#.#.#####.#.#.##.#...#####.#.#..#.##...#
#....####...#.#####.#.#..###.#..#..##.###.#.#.#.#.##....###.#.##......##..#.#.##.###...#####.##.#...#...#.#..###.#.###..##.##......#.#.#....#.#####..#...#####.....##...#.#..##.#.##..####...#.#.....##..#.#####..#.##.#.#....##.####.###.###.#....##..#.##.########......##.#.###########.#.##.##..##.#...#.#....#.#..##...##.###.###..#...###.#..#.##..##.#.#...#.###..##.###.#.#.###...#.##...##.##.#.#..##.#.......##.#.#######.##...##.#.#..#..#.###.###....####.###.#.##........#..##.##.#.#...#.######.##.##...#.##..##.#.#####...##.##...###....###.##..##.....#.####.#####.#....##...##.##.#..#.######.#.########.##...#..###.#####..##...#..#.#..##.#####.###.#.#.####.##.#.#.##..#.#.#..#.#.#..##.########..#.###
###.##..###.#..###..#.#.###..#.##.##..##..#...#.#.#####.##..#.#######..##......#...###..##.#.##.###.#.#.#.#.##.......#.##...###.##.###.##.######.#######...##..##.#####.....##..#..##.#..##.##.##.######.###.####...##.#.####.##..##..##..#####.##..#.#####.#.##.##..###.##..#.#.#..#...#........##.#..#.########.#...###.###..#...#.##.###.#.#...##..##..#.####.##..#..###.##..#.....###....#.###..##.#.#.###.#.#.#####....#.#.##...###.#..#.#.###.#.#....###.####...#.#...##.########.##..##...#.#.###..#....#..##.##..##.##.#..##.##.##..##.###.#.####...##.###.###############....#.###.#..#..#.#.##.##.#.#....#.#..#...###...###......#.###.###.##.#.#####.....#.#......#.#.#..#.#....##...#.##.#.#####..#.#.#.##.#.#.#
#.#..##.....#.##.##...#.#.#.#####.###.###.#.###.#..##...###....##.#.#.########.#.###.##.##.......##.#.###.#.####.#.#...##.###.####.##......#.#.#.#..#.#..#####.#..#..####.#####.#.##..#.##...#......#.#...##.#.#..###.....###.#..##..####.#.###.#######.#...#.##.###...#....##.#.##.###.###.####......##.##.#.#.#.#.####..#.##.###.#..#.#.#...#.#.#..###.##..#.#####.#.##....##.#.###.##..#.##..###.##.#.....#.#.####..#.#.##...##.#####.##.#.#.#.###.##.###.#.#.#..###.#.####.#...##.#..##.##.#...#..###.####.#.##...##.......#.##.....##.##..#.#.#.##.###.##.#....####..##.##....#######..####.##.#.##......##.###...##.###.#.#.#.##.#####..#....#..#...#...#####.#.#.######.#.##.....##.###.##..#....##...##.#.#.##.#.#.#
#...#######.#.##..###.#.....#.#.#.#....##.#..##.#.#####...####.##.....##.......#.##..##.#######.##.....##...#..######.##......##...####.##...#.#.##.#.##..##.####...##.#...#.##.#..##....#.###.######.##.###.#.##.#.#####.......####..##..#.#.#...#..##.###....#.#...#########.#.#..##....##########.###....#.#.#.#..##..##.#..##....##.#.##.##.####.#.#....##..#.##....###.##.....########.#..##.#.##.#.#####....#.##...###..###...##.#.#........###.##.#...#.....###....##...#.###..#.##..#..########.#.#.#..#.####.########.#....#.###..##.##......#.#.#.#....#.##..##....#..##..##.#.##...##.##...#..#.#####..##.###....#.###.#.##.#.#.##.#.####.##.###.####.##.#.....###....##.##.#####...###.#.##..###.##.....##.#.#.#
##.##....##.#.###.##..##.##...#.#.####.##.#.###....#.####.###...####.#######.#...##.###.#..##....###.######.#.####..#..##.###.#..#...#######.#...........###.##.###.#..##.##.#..#.######.......#.##.#.#..#.#.#.#....#.####.#.#.##.##.####.#.#.#.###.##..#.##.###.###...###.#.#.#.##.####.##.....##.#.##..####.#.#.##..##.#....####.#.##.#.#......#.#.....#####.##..##.###.#.###.####.#.####.#.###.........####.####..###.##..##.##.###.....###.####....#.###.#.#####.##.#..###...#.##...###.#.#####.##..#.#.##.#..#.#..##........#.##...##..#.#..##.###...#.#.#######.##..#.##.####.........###..##.###.#####....##....###.##..#..#..#.#...##.#...##.##..##..##..#....#####.####.##..#..#.##.###......#.##.#.##.#####..#.#.#
#..#####....#.#.#..##..####.#.....##.#.#......#.####..##....###..#.#...##..#####.##.....#.######...#.###.......#.##.#.##..########.###.#.#.....#####.#.###.#.##.....##....#....##..##.##.#######.##...##.#.#.#.##.###.#.######.##.#...##....#.#..##.###.#.#....#.#.#.###.....#.#.#...##..######.##....##..#.#......##.##...#.##..###........####.#.##.#####.......##..#.#.#..##..#.#.#.#....#.....##.##.#...........####..##..#.##.#.####.####....#.#.##.##..#.#.#.#.##.##..#..#......###...#.#...#..##.#.#.##.#.##...########.########.###.#.#.#####.###.#....#.##......##....##...#########.##.##..#....##..####..#####...##.##.##.#.#.####.#.####..##..#.####.#.####.##..#.#..##.#####.##.#.##.########.#..#...###.##.#.#
##..#..####...#.#.##..##..#.###.####...######.#..#.##..####.####...#.#####..#....######....##.#..#.....######.##....#.###....##.##.#.#.#.###.####....#####....#####..####.####.##.##..##.#.##.##..#.####.#.#....#..##.#.#.#.##..#...#######...#.##........###.##......##.##.##.#.###..##..#.##...##.#..#.##.#####.##.....#.#####.#####.#.#.##.####.#....#.#.#.######.##.#.#.##..##.....#.##.#.#########.#.#.#########....##..##..#.#..##..##.#.####.#.....##..........#####.#.#######...###.....###.###...#.#.....##.##.##.##..#.##..####.#.#....#.#..#.#.#.####....##.#..#.##..##.####.......##.##.##.######......##.#.##.##..........#..#.#.#.#..##.##.##.##.#.#.###...##.#.##.....##...##.#.#......##.#.#.##.###....#...#
#..##.##..###.#.#.###..##.#.##...#.##.##......#.##..#.##.#..#.####...#.#.##.####...##.#.####..#.####.###..##...####.#.#.#.####..##.#.#.....###..####..##.##.#..#.###.##.....#..##..##.#..........##..#.#.#.####...##..#.#....##.#.###.#...###...###.#.###.##...###.#######...#.#.#.##.##.##.#..#######......##....##.#.###.###......####.###....##.#.####...#.#..............##..##.######......#.#.#.#####.#.......####.###.##.##...####..#.#.#..#######....##.##.##..##.......#..####.#.#.#####.....#.#...##.#####..#.##..##....#.##.#....#.####.#.##.#.....#..#.##..####..#####....#.#.#####.....#...##.##.######....#...###.#####.##.##.....#.##.........#.#.#...###..#.#.#..#.#....####.#...#.#####.#.#.##.#.####...###
#.##..##.###....#.#.#.##..#.#..#.#.....#.####.#.##.##.##.#.##...##.###.#.....##..####....#.##.####.#...##..##.##.#..#.#.#.##.#.##..#.#.########.#....###..####.#.#.#..###.#.##....###.#.###.########.....#.##.###..##...####......##....#.#...#..######.#.####.#...#.#..###.##.#.#.#..##.##.##..##.#.###.########....#######.###.####.#....###.##..#....#.#####.###.#.####.#####.#.....####.#####......#.####.#######.#...##..#..###.#.##.##.####..##.#...#######...#########.###.##.####.#...#####.######.##....#.#.##.###....#.##..#.##.#.#..#.#.#.##...##.##.########..#####..######.######..#####.#.#..#...#.#.####.#.###########.#...#.#####.#..####.##...#...#.###.##.#.##.##########....#####.##..#.........#.#.###.#
#..##....##..##.......##.#######.##.########..#..#.##.#.....##.##..#.#.#####....###.###.##.#..##.#.###.##.##...#.##..........#..##.......##..#..####.#.##..##......##.#####....##..#....#######..#####.###.##..###..#.####.##.###....#######.#####.#.#.....##..###.#...##.#.##.#.#.#.##..#..##.###.#..##.###..######.##..##..##..##.....#####...##...#.##.##.##...#.#....#.#.#.....#####.#....####.#####..##..#.#..##.###..##...###..#.#.....##.##.##.###.#.#.########.##..##.........##..#.###.##..##.##...####.....##.#.####.####.##.####...##.#.#.####.####......#.###.##....##..#.#..#...##..##...#.#.##.###.#..##.....##.#.......#.###.##.##...##..#..#.###.###.#...##.#.##....##.##.#.##....##..##...#.#.#.#.....###.#
#.##..############.##.##.#.##.#...#...#.#..##.#.##.##.##.##..#.###.#.#..#.#####.#.#......#...##.....##.##..###...######.#.#.##.####.########.##..##.....##.######.##.....#..######...####..#..##..##.#..##..#.##...##.##.#..######.###.#.##....#.#.#.###.#####.##....#..#.#.##.#.#.#..#.##.###.#.#.#.###.#.##.#.##....#.####..##..###.###.#.###..#.#####........########.###.#.#######...##.###.##.....##..##.....##...##.####.##.##...##.####.....##.###.#.....#.###...##....######.##..##..##.##.###..##.##.##.#####.....##...#.......#####.##...#.#.##...###.#####.#.#.#..######.....##.#####.#..#####.##.#.....#####.####.###.#.#...#......#..#..##.##.###...#######..#.#....####.....####.####..####.########.#####.#.#
#..##.#.##.##.##...#####.#.##.###...###.##....#..#.##.######.........#.##.#.#.#.#.#.###.##.########.#...##.#.#.###...#..#.###..##...##..#.#..###.#####.##.....#.#..#####.##.##...###....##.#.##..##..##..##....#.#..#.##...###......##....##.###.#.#......#.#..#..#######.#..#.#.#.##....#.##..#.#.#...#.#.##...####.##...##.####.##......#.#.##......##.##########..#.###...........###......#.#..#####..##..######.####.##...##..###.#....##.######.#...#.##.##...###....##..##..#.##.##..##...#..#..##..##.#..##.#..########...#######.#...#..###.#.##.###.#.....#.#.#.#.##.#.#..###.#....##..#.##.##..##...#####.##.....#..########...##.###.###.#...######.##.##....##.#.####..#.#######....##.#####.#.#.#.####.###.#.#
#.##..#.##.##..##.##.##....##..####..#...####.#.##.#...##....#.#.#.#....#.#.......###...##.#.#......#.###..#.#.#.###...#######..###.##.##.##.#.#.#.#....#####.....####....#.####.##..#.###....##.##.###.#####.#####....##.##.####.#####.#..#.##..#.####.#.#.##.##.######..##.#.#...#####...###.....#.###.#..##.##.##.##.###...##..###.#####......######..###.##...##.#...####.###.#.##...##.#...#.###.#..###.##.##...##.#..###.##.###..#.####..#.#.#..###...#####.###.########....####..###.##.###.##.####.##.##..#.#.##...##...#..##.##..##.##.##.#.#.##.......#.###.#............####...######.........###.####.##..#.#.###.##.#.#.##.#######....###.#..##.#..#...####.##...##.##.#.##....##.####.#.##......#..###.#.#.#.#
#.###.#.##.#..##..#..#####..##..##..##.####.#.#.##.#.################.#...#####.#..####.#....######.....##.......#.#.#..###.#..##....#.##.#..#.#.#.####.#.#######.#..####.###....##.####.###.##..##.##..#.##....#.###.##..#..##.....#.####.#..##.#..#.###.#.#..##....#.##.##...###..#..###...#####.#..##.##..#.#..##.##.#.#.#..#.##....#..######..#...##......#.####...###......#.#############.#.#.#.#.##.#.#...##.##..##..##..#.#.##...##.##.#.#.##...##.##.##...##..#.#####.########..#......##.##.##.#..#..##...#.##.#####.###.#..###.....#.#.........#########.....####.###.###..########...##########........##.###.#.#..#.#......#.#.#.#.#####..#####.#.##.####.#..#.####.##....##.####.##.#...##.######.##.........#
#.#.....##...####...##.#.##.###.#..##...##..#.#.##.....##....####.######.###..####..##..#.#####..####.#..######.##.###.##.#.##.#####...#..##.#.#...#.##.#.#.###...#.##.#...#####.##..##..##..###.##.##.##..##.###.#....##.#.#####.###.##...#.###.##.#.##......##..####.....##.##.##.##...##.##.##..#.##..###.#.#.###.##...####.#..##.###.##..#.##...####.####.#....#.###.###.####..#.##.##.#.#..#.#......#.#.#.###...##..##....##....###.........#.###.##......#.#####.#...##...#..#..##...######...#..#.##.#.#####.#.#....##..#.####.#.#####.#...#.##.##...####.#..#.#...#########..###.##..###.######.#.###.######...#..#.#.##.###.##.....#.#.#.#.##.##..#.#.##..##..#.##.##....##.####..##...#...###.....##...##.###.#.##
#.####.#####.##...###.......#...##.###.####...#..###.######.##.#...##..#.#.##.##.##..##.#...##..##....######.....#.##.......##..##.###.#.##....###...##.......###....#.##.##.##..#..####.###.#.#....##..#.###...#.####.##...#.#....##.####.#.#.#.##.#..######..##.##.####.##..##..#..###.##.##.###...###...#...#.##..####..##....##...##..##....##.####..#.#####.###...#.##...#.####.##.##.#.##.....######......##.####.##..##....##.#.#.#########.#....##.#####...##..##.##..###.##.##..######.##.##.##.#..#..##...#...######....#.#...##..#.#.#############......########.#...##..###...##..##..............#....###.##.....##..####..#####.#.#.#.##....##...#..####.#..#....####..##...##..###.###.#.########......######
#..###..##...##.#..########.##.###.#.#...##.#...##.#..##.##.#..###.###.#.#.#.....#..###.##.####.#####..###.####.##.##.#.##.##..##...#..#..####..#..#..####.########.##.#...#..##.##....#.#.....#.##..#.##.##..###.#.#...##.##.##.###...#.....#.#.##.##........###.##..##...##..##.##.##...#..#...###.#.###.##.##..##..#...######..##.##..######.....#.##.....##...##.###..#.###..#.#..#.#..#..#.######.#####.#####.......##..###.#####...#####.##..#.####...#.##.####.##...##.#.#.##..##..##.....#..#..#.##...#####.#.####.#.#.####.#.#####...#..#.#..##..##..######.#.#......#####...##.##..##..#.#.#.###.##...######.####.####.##.#..######..........####..###.##......##.####..##..#.#####......##.#..#.####..####......#
##.#.#.#####..####.#..##.##.#..#.#.#...#######.##....###.#..##..##.#.#.#.#.#####.##.#....#..##..#.##..##.#.##......##.####.##.#####.##.#.##..##.####.##.##....#.###.#..###.#.###.##.####.####.######.......##.##....##.##...#.#....###.#####.#.#.#..#########..#...#.##..#####..#.##.####.##...#####.#..##.##.##.####.#.######.#.##...##.#.#....#####.##.#####..#....#.##.......##.#.##.##.#.##.#.###....###..##.#.##.#.####...#.##.#..#........##...##.###.#..#..#.#.#..#.##.#....#.##..#######.##...##....###.##.....#.#.#.#...##.....##..###.##.#.###.####.##.#...#...##.#...##..#.##..##....######...######..#.#.#.#.#....#..##.##.#....#.##.##.####.##.###...######.#..##.##.##.##.#.##..#.#####...##..##..######.##.##
#......##..##..#.#.#.##..#..#.##.#.###.#####.#....#####....####..#.....#.#.###.#.#..####.#.##..##.#..##....##.##.###...#.###..#.###....#.##.##...##..##..#.####.....##.##....##..##.##.#.##....##.#..#.#####...##.###...##.##.#.####...#.....#...##..##.#.####.#.###.#..##..###...#..#.#...##.##...#...###.##.....##.....####..#.##.###....####..#....##.....#.###.###.####.#####....##.#..#......#.#.####.##.##.#.#######...######.#####.###.######.##..#....##.##...##.####.#.####.###...##.#..#..######.##.#.#..#####.#.#.#.######.#####.##.....#.##...##..##...###.#..#####.#..####..####.#####.####......##.#...#...##.###.##.......####.#####....#.#......#.##.......###.....#.#..#....####.#...###..####......#..#..#
######..##.###........##.##.#.##.#.#.#...##....##.#.#.###.###.##.##.##.............####..#..##....##.####.######...##.##.##..##.#.####.#.#..#..#####....##.####.###..#.##.##..##.#..##....####.##...#####..##.##...####.#..##......###.#####...#####.##..........##..#.####...###...##.###.#...###.###.#.#..#####..###.#..##..##.#..#.#.######..##.####..###.#.#.#####..#.......####..#.##.#.######....#.#.#..........##.###.#.##.#.#.#.#..#####.#....##.###.##...###.#...##......##...#.####.##.##..##..#..#...##.##..#.#.#...##..#...##...#..##.##..#.###..##..####..##..#.####.##.###..##...#.#...####.##.#######.###.........#####.###.##.#.#.######.#.##########.##.###.##.####.##.#.####.##.#.######...##.##.###.##.##
#......###.#.#.##.##.##...#...##...#.#.######.##.......##.#.#..#.##.#..##.#.##.##.##..##.##.##.####...#.#.##.#.#.#.#..#..##.###.#..##....##...##.#.####..#....#.####.#..#####......##..####.#...###...#.##.#..####..##..##....##.#.#......###.##..##.###.#######..##...##.###.####.##..##..#.###...##..#.#.##..##.##...######.##.##.#.#.##...##.#...####.#.###....##.##...#########..##.##.#....###.####.#...####.######.##..#..#.#.#.#.##...##..##.#.##.##...#.###...###..##.#####..###.##.#....##.####.#.##.###..##.##...#.#####.##.#####...#####..##...##..#.###...######.#.#......#..##..#.#.#.###.##..#......##.#######.###.#.##................###...........#####.###..#..##...#.#..#.#.##.....#.##.###..############
######.#.#......#########.###..##.##......#.######.######...##....###############..##.##.##.##..#####.#.#..#.#.#.####...##..#.#.#.######....####......#.##.######....##.##..#.##.#####..##..###..##.###.#..#.##.###..##.##.#############.##...##.###...###....##.##..###...##.......##..##....####..##.#.#..##.##.####..##.#..#..##...#..##.##....###.#....###.####..##.###..#.##.##....##...####.#.#.#....####.###.##....##...##.....#..#.###..##..###...###.#.##..######..#.###.##.#.#..#.##.###...#.#.#.##.##..###..###.#.#####.#...##...###..###.##.####.##.....####.#.......#.#.##.###.##......##.###.########....#..##..####..##.####.#.#####.##.##.##.##.#.##.#.#.#...##.####.##.#.##.#....#####.##...##....#.#######
#......#.####.#..#.###........##..#####.###..##.##..####..#.###.#.##.##.#####.#.##.##.##....###.#.##......##.#....##..#####...#.#.##.#####.##..######.#.##....######.#...##.###..#.#.#.##..##...##...##.##.#..#.#...##...#.##.#.#.#.###...###......##.#######.##..##.#.##.#########..##..##.#..##..###.#.#.##..#...#.##..#.##.##.##.###.##.....####.....##........##.##...##.#..#.#..##..###.###..#.....#.##.....##..###.##..#..##.##...##.#.##.###..####...#....#.##.#..##.#.#.#.##.....##........###...#.##.##.##.#.##.#.#...##....####.###...##.#.......#.#..##.##.#....#.##.######.......#.######....#..##.##.####.#.##..##.#..##....####...#.####.#..#######.#........#.##.#.##.........#.#####.##..#.###..#.##.#.##.##
######.#..#.####.#.#.###.####.###...##...###.##.#..##..#.####.#.####.#..#.#............##.###.#....#####.##..###.####...##..###....#.#.....#..##.##.#.#..##.###........####.##..##.#....##..###.##.####....#.##.###..###.#..........#.###.#.##.######.##..##.....###....#.##.##.####....###.#.##..##.#.#.#..##.##.##..##....#..#.##...#.######..##..#.###..##.###.....##.##..#.##.##.#####.......##.#########.######.##..##.######.####..#.#.#..#.##..#.###.#.####.##...##.........####.#########.##.#.#.........##.#.##.....#######.##.....#.####...#.#####...######.#.#########.#.###.###.##......#.##.##.....#.#..#.#.###.##.##....####.##.###..#.#.##...#.############.###..#..##.########.#.##..#..##.##..####..#.....#
##.##..##....##..#...#.######..##.######.#......##..##.#.##...#..##....##.##.##.####.####..##.##.###......##..##..#.#.#####...####.#.#####.##.#..##.#.#.##...#########.#.#...##....#.##.##.####.....#.####...##.....##.....#######.##.#.#.#.#.....##..#..##..###.#.#.##...##.......####.#.###.#..##..#.#.#.##..#...##..####.#.##.#..###..#.#...##..##############.#.#.#...##.#....#...##.##.#######..#.#.##.......##..#.###...#..#.#....##.#.##......##.##.........#..######.#.#####.....##.##.....#.###.##.#######.#.##.#####.####..##.#####..#.#.#.###.###.###........#.#.#..##.#..##..######.#####.#########.#.##.#.#..##.##.###.####....#.##..##.#..#.###.#.##..##.##...#..##.###..#.###.#....##.#.##.....##..##.#.#####
#..###..####.###...###..#...#.##.....##..#####.##..##.....###...######..#.#######....#..#.##..##.#.######.###..##......#.#..###.##.#.#.##.......##....#..###..#.##.#.....###..####.#.####..##...#.###..##..########.####.###..##.####.#.#...##.######...######.#......#.#######.##.##.....###.#.####.#.#....##.#.#####..#..........#####.#.###.###.#.##.#....##.#########.##.#.##.#.###..##.#...##..##....##.####.#..##..#..#.#.######.###....##.#####..####.#.#####.##.##...#..##.#####.....####.##..#####...#.##..#..#.#.#.#..#.##..........##.#.####..#.......#.######.#.#.###...###.##.#.######.......##.####....#.#.##..##........##.#######.##.##.#...#.#..##.#...##.##.##....##.#.......####.......###..#.##..#.##..#
##.#.##...##..#..###.##.###....##.######...#...###..#.#####...###.#.###.#.#.#..#####.#.##.###.##.#.#..###..##.########.#.#.##.#.##.#......#.##.######.#.#####...##.#####.#.##...##.....##.#####.#...##.##.##.##.#....##..#.##.##..#.#.#.###.##..###.###...###..##.#.######.#..####.####.###...#..##..#.#.#####.#..#.###.#####.#######.#..#.#.#..##....#.#.##.##..#.#.##....#...####.####....#.###..##..#####..#.####.#..##.####.#.#....#.#.####...#.##.##.#..#.###...##.####.##.....###..#####.....##.#.#...#.#.##.##.##.....#.##.#..######.#.......#.##.#.#########..............#.............#.#.########..##..##...#.###..####.#####.....##....#......###.#.##..###.....#.##.####..#.##.#.###.##.####..###....##....##.#
#.....#.#####.#.###...#.######.#....##...#.###..###.#.##.####..##.#.#.#...#.##.#.#.........##.#..#.#.##.##.#..##...........##.#.#..#.##.#.#.##..##.#..#..#.#..###..###......###..##.####...##.#.#.#.##....##..#.###.####.#..#.##.##.#...#......##.#..##.###.##.##.####.##..#.###.........####.#.####.......#.#.#.##..##.#.....##....#.#.##.#.##..#.####.#.####..##...##.##...###.##.#.#####.#.#.##.##.##.#.#.##.##.#.#.###...#..#.####.#.#...##.#....#.##...####.##.###..##...###.###.##....##.###......##.####..#..#.###.####......##.###..##.#.##...#....##.###.##.######.#.#.#.#.#.#.#.#.###.........#....#########.#...##..##.....##.###..###.##.###.##........##.#####....#....##.#.####.#.#.#.....##..####.###.#####.#
##.##.#.##.#....#.##.##....#.....######.##.###.##......#...###..#.#...###...##.#.######.####..##...#.#..##.#.############.###.#.##.########..##....##.##.#.##.##..##.######..###.#...#.##.###.###.#..#.######.#.#.#.##.#...##.##.##.###.######....##.#...##..#.....#.#.###...#.########.##.#....#..##.#.####...#.#..##..#####....#.##...##.#.#..##..........#..#####..#####.##.#.#.....##.#.#.#.##..#.##........##.#.#.....###.##.##.#.#...####.#.##.#....#..###....#.#.####.#######..##.############.###....###...##..##..#.#.#######...#####.#.##.###.####..........###########.#######.#...#.#.#.#.###.####.###.##....###..#####.###...#####.......########.#####...##...#.##.####..#.#.####.#.#.##.####.#.####.#.#.#.#.#
#..#.......#.##....#.#####.#####.#..##..#..#....#####.##.###.##.#.###.#.##.##....###....#.##.#####.#.#.##.....##..##...#....#.#.##..##.#.##.##..##.#..##.#.##.###.##.##...##..##.#.###.##.#.#..#####....###.......#......####.##..#.#.#.##.#...#####...#####.##.####.#.#.##.##.............####.#.##..####.###.....####.##....#######.#.#....##....#.######.#.###....####.#..#.....#####.........#.##.#..########......##.###...#.#....###..#.###.####.#####...###.##...##.#.##.##.##..#.#.#.##.........##.###.###..#.###.##.#...##....###.#.######......#.##.#######........#.##..#.#.#####.########...#.#.##.#.#.#..##..###.##..#.#.###..##.#.####.##.##..##.#.#####..##.#####..#.##......##..#.#.####..###...##.#.....#.#
####.#.###.#######.#..##.#.#.##....#######.###.##.##..##..#........##.#..#.#..##.#...##.#.##.####..#.#..###.#..#.#####.####...#.###..#.#.#########.##..#...##.#.#..#.####....##........##.#.#.##..####.##.#######.####.###..#..##.....#.##.###..##...###.###.##.#.##...#.#...#########.#.###.#....###..##..#.###.###..#..#.##.##.##.###.####.#..#.#####..####.#.####..#.#...##.#####.######.####........##.#...####.#######.###.#.####..##.##.###....#...#.###.##...#.####....#.##.###...#.#.#########.##...##.#...##..#..#....#.#..##.......##...##.#.#............#.##.#.#....##........####.#..#######....#.#.#.##.###.#....##.......##.##.#....#.##..#.###.#.#.##..##....#.#.##.#..######..##.#...##.##...###..#.#.###.#
#....###.#.##..#...#.###........##..##.#.#.##...#..##..##.#####.####..##.....##########...##..##..##.#.##...####.#.#...##.###.....##.......##.##....##.#.###..#.#.##.#.#####..###.######..#....#.##.##.....#.###.........##.##..##.##.#.##..#..##..#..##..#..........###.##.##.##...####.#.#.##.###.##..#.##.##....##.##.###........##..#.##.#.####.#.##.#.#.....##..##.##.###.#.##..#.##.#....#.##.#.#.##...###.##.###.##...##.#.#.#..##..##.#...####.###..#######......###.##....#.###......###.##...##.#..#.###.##.##.##.######.####.######..#..#####.#.#.###############.##..##.#.#.###..#.#.##...####.###.#.#.####.#.##.#####.#.#.###.##.#.#######.##.##..#.#.##.##..#.##....#.##.##.##..##..#.###...##.#####...###...#
#.####...#..##.###...#.#######.######.......###...###.##..#.....#..##.######.#..##.##.###..#.####.##....###..##....###.##.#####.######.#####..#####.#......#.##.#..#.#.#...#.##.#.#...###.#.####....##.#####.#.######.#####....##..#..#..##.##.######..##.##.###.#.#..#..##.##.####..#.....#.#..##..###.#..#.##.#.##..##..#..##########.#.##.#...#..#.##.#.#.#######....#....#....##...#..#.#############..###...#..#.#..##.###.....##..##..#.#.#..##....##.#.#.##..######.#.#..#.##.#.##.#####.#..#.#..#.####.##...............##.##.#..###.#.###....##.#.#.............###..##..#####.....##.#..#.###..#.....#.#..##..........##.######.......#.#.#.#..#..##.#.#.##.##.########.#.##.....##.##.##.#.#.###..##.##.######.##
#.######...##....##.##..#.#.....#.#.###.#.####..#.#.#..##.####.##.##..#.#.#..#.##..##.....##.#.#..##.####.##..#.#####...#.#.##...##.#....#.##..###..###.####.##.##.#.#.###..........###.#...#.###.#.......##...#...##.....#.##.######.#.##..#....##.#.##...###.#.####.#.###.#..#..##.#####.#.##..##.#.#...##..###.#..####.##......#.##....##.#.###.##..#.#.#.#.##..####...#.##.####..#...##.##.##..#.#.###.#.###.#.##.#.##....#####.##.###.##...#.###.##.##.#....##...##.......####.....#...##..##.####....##..###.#####.####.#.......####.#....###.#..#.#.#.#####.#.#.###.#.#############.##..#.##.#.##.#.#####.##.##.####.#####...##....#.#####...#...##.###.#.#.##.#...###..#.......######...........#.##..#.#......##..#
###...####..####.#.....##.####.##.#..####.#.#..####.#.##..###..##.###.#.#.##.#.#..#######..#.#.#.##...##..##.##.#.#.###.#.#..#.###..##.###.#..##.##.....##.#.##.##.#.#.##..######.###.#.##.##.#.#.###.#.######.###.##.#######...#.##..#..##...####..#..###.##.....#.###.##..##...##..#.......###........####.###..#.####..##.###.##.#####.##.#.....##.##.#........##.##.#####.....######.##..#.##.##...#.#.#..##.#.##.#..####..##.#.#..##..#..#####...#####.##.#####.####.######.#..#.###.###..##...#.##.#....##.....##.....#.##.#######.#...#.##.####.#.###.....###.#.....####...#.#...####..##..#.#..#.#.#.#.#.##..####.....#.#.#..######.##.#..###.####.#.#.#...##...###.##...#.#.#....#.#.####.#.#.##.#..##.#.######..##
##..#......####..##.####..#.#...#.##...#......##.##.#.##.##.##.#...##.....#....##..##.#...##.#.#..##.####.....#.#.#.#.....##.....#.##..#.#.##.##.###.##.##......##...#.######...#..##.#.##.##.#.#####.#####.#...##.#..#..#.#..#.#.#..##.#####..#.##.#.##....####.##..##.##.##..#####.#####.###.#.####.#..#.#.#.##....##..##...####..#.#...##.#.#####..#....#.###.##...#..###..#.###.##......##.##.##.###.....###.#..#...##.#..###...##.#..##.###.####...##..##...##...##..#.##.#.#.#####..#.##..###.#....#########.######.##########.......#.###..######.###.###...#.##.##.##.#.###...###..##.##.##...##...#.#.#.#..##....##.##.#.####.#.#...#.#.##.#.##...#.#...###..#####.####.#######.##.#.#.########..#.##....##...##..#
#..#######.##.##.....#.##...###....###...####....##.#..#.#..##.#.########...##....###.#.#..#.#...###.########...#.#.####.######.##..##.....##.#..#.####.#..##.######.#.#.##.###.#.##....##.#.....##.#..##...##.###.##...##.#.####...###.#.....##.##....##.#..###..#.###.##.#..##.##..##..#.##..###..###.##.#...##.##.###.###.##.##.##.###..#.#...#.#.##.####..#######.##..#..#####..####.#####.#...#.###.#####.#.##...###....##.#.###..##.........#.#.###..####.##..#####.#.##.#....###..##.#..##...##.#..#.###........#####.........##.#.##..##.##.#.####.#..######..#.#####.#.#.###.##..##........#.###.##.....##..####..###.........#.##.##....#....###...#.#.#.##...#.#..#.#.#########....#.#.#.#####.#..###.##..###..##
######.#.......####.##..###..#..####.#####....#.###.#.##.#.##....#..###.#.######.##.....##.....####...##.#.#..###.#.##...##.#.#.###....######.##....#.....######.#.#.#.#.##.##....####.##..##.####..#.#####.#...#...#.#..#...#.####.##..#####.#..##.##.#####.#...##.#.#.##.##.#..###..##.#..#.#####.##..##...#..###...##...#.......##.#.##...#.###.#.##...#####.#.#...#..##.##.#.##..##......#...#.....#...##..#..###.#.###.###...####.#..######.##....###.#.#..###..#..#.#....#.##...##.##.#.#####.#####.....###.######.....##.#.####..#..##...........##.##......######.##.......##....##..#.#.##.#.#...####.###..##.#..#####.########.#.....####.####.#.###.###.##.###.#.##.#...#.#.#####.##.#....#.#..#.##......##.##..#
#.#.#..#####.#...##.##.##.##.##.###...#.#####.####....##.#.#..####.##...#####....###.##..##.##..##..####...##...#.#..###.##.#....####.##.......#.##.#####..####.............#####..#.#.###.##..####...#.##..###.#.######...#...#.##.##.##.##....###.####.#.#.###....#.#.##.#....##.##..#...##.#...#..##..#.######...#.#..###.########.#..###...#.#......#..##.....###.##.....#.#.#..###.######.###.#.#...###..##.##.#.#...#...##.##.#..##..#.#.#######..##.#...##.#.##.##...####..##.###.##....#.#...##.#.#####...##.###.###########.##.##.######.#######..###########.##..###.###....#.####.###..#.###.#..#.#...##.##.##..#.#.....###.#.###.#####...#.#.#.#....##..#..##........###.#.#.##..##...####.##...##.####.##..#.##
#.#.##.#.######.##......#.##.#..#.###..........#.##.#......#.####..####.##..####.#.#####.######....###.###....###.##.##...#.##.###.#..#######.####....####..#.####.#.#.###.##.....##.#.#......##.#..###..##........###.#.####.##.##.##.##..##.####...##..#.#.##..####...##.##.###...##.###.#..###.#.####......#.#####...###....##...#.##.#.#.###.#.#######.###.######..#.#####.#.##.......#.#..#######.###...##.....#.#.###.###...#.##....##....##..###....##.##........##.##.##.#####.#.###.###.##.##.....##.##.##..........#.#.#....######...####.#...##...#.......#.#..###....###.####.#....########.#.##...#.#......##.....#####.....##......###.#.#.....####..##.##..##.#.#.......#..##..##.##.#..##.####.#.######.#.##
#.#.#......##.#..##.###...##.##.....#.#.#####.##.##.######.#..#.##.#.....##.#......###.###.#.#..#####..#.###.##...#..###.##..#..##.##.#..#.#..#.#..####.#..##....#######...######.#....#####.##..##.....########.#..#......#####....##.###..#....###..##.#.#.###.##.##.##.....#####....###.#.##.......###.#.###.###...#...#.#######...##.#.#.##....#.#..##.#........##.#.#.#...#.#..#######...##.#######...#######.##.#.#.#.#.###.#.#..#.###.#####.##.#.####..###.#######...#.......##....##..##.#..######..#.#..##.####.###.......##..##.##.###.##...###..#...#######.##...#.##..##...##.#.#####..##.###.####.#######.####.####..#####.##..#.####.#...#.#.###..##..#.#..#######.###.###.##..###......##...#.#.....##.#....#
#...#####.##....#####...###..##.##########....#...########.#.##..#.#.###..#.####.###...###.#.##..#..##.#...#..###.#.##....##.#.##..#..##.#.##.#.##.##.....###.#####.#.####..##.##.#.#####..#.###.##.#####.#..#.####.#.######.#.####..#.#.##.#.####.#.##.......##..#.#...#####.#.###.##........##.###.##.#.###.....##.##.###.#.##.#..####...#..#.####...#########.#####.#.#.##.##.##..###.#..#..#.#.#.#####..#.##........#......##.#.####.#.#..##.#.##.#.#####..##...###.##.##.###########.##.###...##.#..#.##.##.#...###...###########....#...#.....#.#...##.#......#..##.###..#########..#.###...##...#.....#..#.#.#.....#.#.##.##.#.#..##.####.....###.######..#.##...#####.####.###....##.....#.##....###...######.#.####
##.##......####.##.####..#..##..##.#.#.#.##.#...###..........##.##.###...##.#.....####.#.....##.##.###.###.#.##.#.#..####.#..#..##.##..#.#.##.......#####......#.#......###.##.#....##..##....##.##..#.##.##.#..##..#.##.......##.#.##.#.#..#..###.#..####.#.####.#.#.#####.#.#...###..#.####..#.#......#..#..#####..#..#.#.#.##.#.###.###...##...##.###..##.###...##....#.##.#..##.##.....###...#.....##..##..#####.####.######..#..##......###...#..#....###..#.###.#..#....#.#.##..#.#....#.##.##..##...#..##...###.########.###..######.###.#######.####.########.##..##..###.####.#.##.#.#.######.####.##.##.#.#####.#.#.#...#.#.##.....#.##.####....#...##.#.##.###.##..#.##.##..####..#.#########...###..#.##.......#
#..#######..#....#.#.##.##.####.##...#.#..#####...#########.###......###.##.#.##.##..#.####.##..##..#...##.#.##.#.##..#.#.##...##..###.#.#.#####.##...###.####.#.###.####.#.##.#.#.###.#####.###.#..##.##.##...####...##.###.####.#..#.#.##.#.##.#...##.####..##..#.#.#.#.#.#.#.##########....#########.#.##.##..######.#.....##.#..#..###.#.#..####.....##..#...######.##.#....##..#..#####.#####.######.##..##.##..#.........##.##..##.#####.###.##.#.##.#.##.#.#.#.##...##......##.#.#.####....##.#####.#.##..#......#.##........###..#........##.##.###........##..##.##.##.#..#.#.#.##.......#.##....#.#..##.#.###...#.#.#.###.#..#####.#.#....##.####.####.#..#......#.##.#...##..##..##...##..#####.#...##..###.#####
##..##.#.##...##.....#..##.#.#..###.##.##...###.###..##.....#...####.#...##.####..##...........####.###..#...##.#.###.#...##.#..##..##...#.#.########.#....#####.#...#.##.#.##.###..#..##..#.##....##..##.####.##.#.#..#.#.###.#..##.#....#...##.###.##..##..####...#.#.#.#.........###.#####..##..##...........##.##.#.#.######...##.##...###.##..#.#######.##.##..##..##...######...##..#...#......##.#.#..##.....##.#.#.#####.....##..#####.##...#...####.#........##.####.#.#####...#.#.###.#..#.##..#.#.##.#######....#.#####.##.##.#.########..##.#.##.###.###..##..#.......##.#.#....#####.#..####...#.##..#.#.###.#.#.#...#.#.##.#.#.#.#.####........##..##...######....##.####..#.#########.#..######.##.###...####
###..#....###.###.##.##.##...##.#.#.....##.##.#.#.##.######.#.###.#####.##..##.##.############.##...##..##.####....#..#.#######..##.##.###...#..#.##..##.###..##.###.#......##.##..##.####.#.###.#####.#..#..#.##.####......#..##....#.##.#.###..#.#..#.####...####.......#.#########.......#.####..#.####.#######.##.#.....##...###...#.#.##...##....#.#.#..##..#.##..##..#...#.##.####.##.###.######....#.#######.##.###....#####.###.##...#.####...###.#..###.######.....#####.#.###.#.#..##.##....##.#.#..........#.##.......####.##.#..#..##.##.##....#####.#.#.##..##.########.....##...######.#..###....##.....##..#.#...#...#.#..#.#......#.##.#######..##..#..##..#.####...#.##......###......##.##.#..#.##..#....#
#.##.###.######.###.....###.##......##.##.....#.#.#...#.##..#..##..##.#.#..##..##..##..###......###.###.......####...##..#.##.##..#.#...##.###.##..##.##..##.##..##..#####.###..##..#.#.##.#.#.#....##.##.##.#.##..#.#.######.######.####.#..###...##.#...##.###....#####..........########....##..##.###..##.##.#.#..##.#######..##.#####.#..#####.###...##..##.#.#..####.#####.......#..#......#.#.##.###..##.##.......#.##.#.........##.###..###.#.###.#.##...##..##.########....##..#.#.##..####.###.#...#.#.###.##.###.#.######..#..#.##.##......#.#.####.###.#..##..#..##.##.#.###..#.###..##..##.##..#######.#..##.#.#.#.#.#.#.##.#...####............##.##.###..##.#..##..###.##.######.#####.##..##.#.##....#######
#.....##.#..###.##..###..##.######.######.#.#...#.###.#.#..##.##..##....#.####.###....##.######..##..###.###.##....#####.#.##....##.##.###.##...##.#..#..##...##..##.##....#.##..#.##.#.##.#.....#####.##....#..##.#.#.##.##...##.#...##....##.###.#..#.###....###.##.#.#.######.###.#...#####.###..###.##.##..#.#.#.##...##..##.###.#..##.#.####....##.###..##....##..##...##.##.######.##.######.#.##.####.#..###.#.#.##########.###.##..#.##.#.###...#.#..###..#.##...#..#.#..##..##......####.#..##..#.#####.######...###.#.##.##.##.........##.#...#..#....##.#.####...##.....#.####.#.####.##.##...#.###.##.###.##..#.#.#######.##...###.#########.#####..##..#####....####.##...#..##.#...##...###.##....#.####.#.#.#
####.###.#.##.#.#..##...##..#.#.#....##.###.###.#.##......##...##.#####.#..##...####.##..#.#####..##.#.#.########.####.....#####..#.##..#...#.#..#.##.#.####.##..##...####.#.###.#.##...#..#.##.#####...####.#.##..#.#.#...##.###...#######....#.#.##.#..####.##.#.#....#.#..#.#####.##.##.......##..#..##.#..##.#...##.###..##...#....##..#.##.#.####......####.###..###.####.##..##.##.##...##.#.#.##.#.##...##.#.#####.#..##..###.#..##.#.##.#.##..###.##.##..##..##.##.##.##.########.##.#.#..##..#.##..#.####....#.#####.#.....#..###.###.#######.#####.####..#.##...####.#####....###......##..###.#.....##..#...##.#.#.##..##..####.#.#...###.#.####..##.#..##..##.#######.####...##....####.#..##.##.####....#.#...#
#.............#.#######.###.#.#.#.#####...#####.#.#####.#..###.#...#.##...##..###....###.#.#...#.###.#.#.#..#.##...#.###.###..###...###.##.#####...##.#.#.#..##.#####..#.#....##.#..###.#.#####.##..##.##......##.##.#.#.###..##..####.##.####.#.#.#..#.##..#..#.######...#.##..##....#..#####.#####...##....##..###.#...###.###.##.####..##.##.....##.#######.....##.#.#.##....##.##..#....#.##.#.#.##.#.###.###.#..#.##.##..##..##...##....##...###.....##..##.###.....#.##.##...#.##....###.#.####.#..#.##...##.########.####.####.##.#..#####..#.####......##.##.####.#..........#.####.#######.##.....#######.##.##.........####...##.....###.#....#.#.##....##..###.#.#.##...##..#####.###..#.#.##..##......####.#.###
########.####.#.###.#...#.#.#.#.#...#.#.#####...#..#######.##....###..##.####...####.#.#.#.###.#.##..#...#.##.#..###.##....#.##.##.##.#.##..##.#.#....#...#.###..##.##...####..#.#.##.#.#.#.#.#..#.##..######.##..##.......##..##.##.#.....###...#.#.##..##.##.#..##..###.#.#..##..####.##.#....######.####.###.##.....###....##.##..#.##.......###..#..##...####.###.....##.#####..##...######............##..#....##....##.##..####.##..#.##..###.##.####..##..#.#.#####.##.#..###..###.##.....##.....##..#.###......##.#..#.#...##.##...##.#.##......#.#.#####..#..##..#.#############.###.####...#####...#.##......##.#########.##.##..##.####...####...##.##..#.###....#.#..#..##.#.##....#.####..##....######.##.#.#.#
#......######.#.#.....#...#.#.#.#.###.#..##.###.#.##...#....####..###.##..#####.##.......#.#...#.###.#.###..#.##.###.#####.#.##.##..#.#..##..#.######...###.#.#.###..###.#####......#.#.#.#.#.##....##.........#.#####.#.###..##...#.#####.#.#.#...#.#..##..##.#.##..##.#.#.#.###.##.##..#.####..##....#.#.......###.###.##.###..##.##....#.#.#..#####.##..#####..#.#.##.##.....#..####.##.#.######.##########...##....####...##.##....##.#####..#..##....##.#..##.#....##.##.#.##...##.#..###.#####.##.##.##.#.##.######.##.#.#.###...#.#......#..#.######...#.##.#.####...........#.#.#..#.....##.##..##.###..#####.##........##.....###.#####.##.##.##.###..#####.#.#.####.##.#####.#..##.###..##..####.####..##..#.#.#.#
######..##......##.##.#.#.......#..##.#.###..##.#..###.####.#.#..##.#.###..#.##..##.####.#.###.#.#.#...#.#.##..#.#.#..##.#.#.#..##.##...##..##..##..##.##.#.#.#...##.###.......#.##...#.#.#.#.#..#########.###.#.#.##..###.#.####.##.#.###.#.#####.#...####.##.#..##.##.#.#.#.#.#..#..##........####.#.#.#.#######.......##.#.##.##.#..#.####.##....##....###..##.#....######.###.##....#.....##.##.#.###.##.#.####.##..##..#..#.####.###..#.##.##.####.###..##.#....#####.##....##.###...##.#.#...####.#...#.#.#....##.#.##.#.....##.####.####...####..##..###.#......##.######.##...#.#.##.#####...##......##.##.......#.#.#########..##.#.#.#............##.#.###.#.#.#.##.#...#.#....###.#.#.####..##.......###.##.#.#.#
#....#.##..###.##..#..#########.#.##......##......##.#..........##......##....#.######...#.........###...#..##.#.#.#.##....#.##.#..#..#####..#.####.....#.#.#...#.##.#.#######.####.#.#.#.#.#.##.#..##...#.#.....#.###..#..#.###..##.#.#.#.#.##.#....#..##.......##...#.#.#...#.#.##.##..#####.###.###.#.#...#.#.##.##.####.#.........####.#####.##.##.#.##.#.##..#.######.##...#.#####...######.##...#.#..#.#....#..#.#######.#..###.##..##.#..##.##...#.#.###.#.####..#.....##..#.#.##.##..#.#.####.#...#.....#.##..#.#.##.#.######...#.....###.#.##.####.......###.##......####..###....#.###...########.##...#####.#.###.##.##...##.##.#.....##.#########......#.#.#...##.##.##.#.####.#.......###.###.#.#####...#.#.#.#
####.#..#.###...#########..#.#....##.##.#######.#....##########..#.##########.#.#.##...#...#######...###.##..#.#.#....##.#....#.##...####.##.....##.###.#.#.#.#.###......##..####.###.#.#.....##.#.#####.#######...#...##.##..#..###...#.#.#.#..##.####..##.####....###.#.#.###.#..#..#####.##.#.#.##......###.......####.#.###.###.#.#.##.#.#.######..####....##.#..#.#.#.##.###..##.#.#.#.##.#.#..###...##.#.#######..#..#.#.#.##...###..#...###.####.#.#.##.........##.##.######.#.#...##.....#.#..#.#.###.#....####.#..#.....##.###.#.###...###.##..##..#.#####.#####.###.#..####.#.####...###..#.#.##..####...#.#.########..###.....#.#.##.#####...#.####.#####.#...###..#..............##.####...#.#.####..##.##.#...#
#......#####..#..##..##.##.#.####.#..#####.##...###.##.##.#####.##...#######....#.###.###.###..##..#......##.#.#...##########......####...#..#########..#.#.#.####..#.######.##.#.##....#.##.##..#.#.##...##.#####.#.####.###.#.##.###.......##.#.....##.##########.###......##.##.#.##.#...##.#...##.####...###.######...#.##....#.#...........#..##.###.###.###.#.##.........##.###...###.##...#.###..###..#.....######.##......###..##.##.####...##..#.#.#..##.#.##.....###..##..#.#.########.#.##.#.#####.##.####.#.#.##.#####..#.#.....######...#.##..####.###..##.....#.#.##.##....#.##.##.#.##.#.###..#.###......##.###..##.####.##.#.#####.####............#.#.###.##.#.######.########....###........##.##.##.#.###
####.#..##...###..##.#.....#.#.##.#.##.#.#..#####.......#.#.....##.###..##.####....####.###.##..#.######.##..#.#.####.#.#.##..##.#..#.###.##..##.#.#.##.#.#.#..##..##....##...#.#.###.###.#...##.#....###.##..........#.#.#.....##...####.#####.#.########.#..........#####.###..#.#..#.##.##..###..#.#....####..#....#.#.#.##.####.#####.#.#####.##..#...###..#..#....#.#.#####....###..##.####.#.#.##.#.##.#.#####.###..##.####.#.##.#........###.###.#.#...##..#.#########..####.#.......#.#..#.##.#..#..#.####..#......#.#.####...#.########.###....##...##...#.##..##.####.....##.###.##..#.#.##.#..#..##.#.##.##.###.....##..###..#.....##.#..##..#.#.#.###.##.#..##.#..#.##...########.#.#.########.#####.##..#.#...#
#.####.##########.##...###.....#.........##.#.##..####.##.##.##.#...##.##....###.###.#..##.....#######...###.#.#.#........##.######.#.#...###..#.#.#.##.#.#.#.####..#.##.##.#.......#..######.#....######..###.#.###.##...##.####..###.#...##.#....#.##.##.##.#####.###.##..#.#.##.##.#.##.###...#.#######....##...######.#.##..##############.##..##.#.###.##.##...#########..##.#..###.....##..#.........#.#.........##.##.#.......#.##.#####.#....#..#.#.#########.#..##.##.##.#.#.###.###.##.#.##...##.####.###...####...#...##.###.###.#..#.##..####..###..###.###.#...##..#####..#...##.##.#..#.##.##.##.#.#..#####..#######.#.##.#.#####....###.########.####...###.#.##....#..........#.####.#......###...##.....#.#
#.#.##.####.#.#....#####...###.#.#########....#####..#.##.####....###...####..##..#..##.######.##..#.###.#.........##.#########.#...#.###.#.#.##.#...#..#.#....#.#.##.########.####.#.##.##.#.####...##...#########..##.####..#.##.##..##.###.##.###.#..##.####.#....#...##.....##.##.#.##...#.#...#.##....####..#.###.#.......##.##.....#.#....##......##..##....###.#.#.#.##.##.####.#.#####..##.#########...#.#######..#####.####.#.##....#######.##.#.#.#.##.#.#....###..#.##.#.....#####....#.##.###....##.....#..#.#####.###..#.#.......##.##.##..##.#.##.#.#.#.#####..##.....##.#.####.##.##....#.##....#.##...#.##...#.##.......#.##.##.####.#...#.##....#.#.####.......#.###.#.#.#.######...####.###.##.####.######
#.#.#...##..#.###.##..#######..#......#.###.#..#####.#.##..##..##...##.###.##..##...##..#.#.....##.........#.#.#.#######..#.#.#.###.#.##..#......###...##.#.####.#.##...##.....#....#..#.#..#.#.##.######..#.###..##.##..#.#.##.....##.....#..##...#.##.##.#.#..####.##.##..#####..##.#.#..#####.#....####..##..####.#.#####.####.##.#####.##.####.#.######..####.........#.##..#..##..#.#.##..##........###.#####..#..##...######.....##.####.#.##..##........#...#.##...##.#.#..#.#####...#.##...##.##..####..#.####....#.##.#.##.#.#.#######........###.............##.#.##..#####..#.#.#..##..###.##..##.#...#..#......###..#######.#....#....##.#.###..###.##.#....##.##.###...#.#.######...###..#.#.....##..###......#
#.#.###..##.#.#...##.##.#.#.##.#.##.#.....###.##..##...###.######.####.##...##.####.###...####.##########.####.####.##.##.....#.##.....##.##.##.######.##.#.###..#..##.####.#######.#.##.##.#....#.##.#.#.##.#.##.##..#.##.#..####.#######...##..###.##......##.#.#...#.##.##.##..###.#...##.#######.##.###.##.##.##...##.##.##.#....####..##.##.#.####...##.##.#.#######....##.#.##..##...##.###.######.#......##.##.#####..#.#.#####......##.#..##..##.#.#.###.#...######..#.##...###.##.######.###.###.#....############.##.#.##...........##.##.##...##.#.##.#.#####.....#.##.##..##...##.#..##....##..#####...##.######.##.##..##....####.#####.#...##.#.#......#.##..#######.####...##.#.###.##.#...#######..#..######
#...####.#....###.................#.##.#####...##.#..#.#.#.#.##....##...##.##...###..##.#...#..#..###.......##.#.....#.#####.##..####.##..#####..#.#.#....#...##...############.#........#..#.##...##.#.#..#.#....#..##..#.#.##..#.#.###...#####..##..####.###....###...##....###.#...#.####.#.##.#..##...#.##....###.###.##.##...####..#.##...#.#.##...#.#..#.....#...#######....##.##..####.##...#..#####.######.....##.##.#.#.###.###.#####...##..##..#.#####.###..##.###....##.##...##...#.##.#.#.#.#...####.#..#.#.###.#....##.#######.####.#######....#..###..##.####.##..#.##.###.#.##.#.####.###..####...#######..##.##.##.##..#.#####..##.#...###......##########..##..####.##.#.##....##.#..#.#.....##..##.##.##.#
#.###.##.#.##...##############.#########.##..###..####.#.#......##..##.###..##.##.##.######.#.##.##.#####.########.###..##.#.##.##.....##.#.#...##.#.#.####.######...##.##.#......######...#######..#...#.##.####.##.###.#.#..##.#.#.#.#.#...#.#.###.####..#.####.#.###.#..####.#.###.#..##..#.#..##..###......####...##..##.#..####.##.#..##.##.#..##.#####.#####.#.###.###.####.##..#.###....#.###.##.##.....#...######......#.#.#.#.#..##.#.#####.##.#####..#.#######..#..####...##.###.###..#.#.#.#.#.###.##.#.##.#.#.....##.....##.#.####.#.#.#.##..##.##..##.##...#.#....##.#....#.####.#.##....##.###.###..##.#.#.##..##..#.#..#####..#.###...###.##.#######..#####.####.#.##..#.#####.####.#.##.#######..##.....##.#
#.##...#.#####.##.#..............#.#.##...##...##..###.....##.#####.##...##.##.#..##.#.#.......#.#...#.#..###....#..##.##..#..#.######.##...###..#.#.#.#.##.#.#..##.##...#.#####.##....##.##.#..###.#.###..#.##...#...##.#...##........###.###........#.##.#..##........##...##.#.#.#.#.####.#.#.##..##.#.##.#.##.###.##.###.##...#..#..#.##...#.#.##...##...................##.#..##.#...###.##.........##.####.###.##.######.....#.#...###....##....#...#...##....###..##.##.###.###.#.#.#.##............##.............#.#..#.#.###.....##..#......##.##############.#...#.##..#.####..##..#.#####.##...#.#.#.###.#....##.###...##.#.#.##.......####...#.......#.##.##...#......##.#####....##....##..###.#..#####.####.#
#.####.#.##.#..#..#######.####.#...#.###.##..#####.#...##.##..##.....##.##.......##....#######...##.##.##...####.##..#..##.##.#.#..#...#..###.##.......#.##.....##...##.##.##.########.##....##..##.#...##.#.####.#.####...#..#####.#####...#..#.#.####.#....######.#.#....####.#.#.#.#..##..#...##.##..######....##..##.#.#.##.###.##.##.####........#..########.#############.#.##....###.#.###.########..............##..##.###...#.#...###.######...#.#.####.####.##..#.##..##.##..#.#.#.##.#####.#.#.###.####.#.#.##.####.#.#.....#####..##.#########.#.###.##.##....#.###..##.#.##.####.#..##.#.##.###.#...#.#...####..#.###.##.#....#.########.##.##.#######.......#...###.###..#..##.#######.##.##...##...##.......#
#.#.#..#.#..##.##..###..####...#####..##..##.###.....#..#..#.######.##..###.##.####.##.##.####.####.#..#..###.....#.##.##..#..#.##.###...###...#####.###..#.######.###..##.#...##.#....###.####.##....###.....##..#..#.###.####.##..##..###.#.######.#..##.####..##.#.####.###......#.#.####.##.##..##.###.....##..##.##.#.#.#...##..#.#...##..####.#######.###.......#.#..###....##.####.#.#.......##.##..#.#.#.##########.####.###...#####.#.##..###.####.##.#.#..#.###.#.##.##...##........####..#.#####...########..#.##.###.#.###.......###.#....#.#..#...#.##.####.#####..###....#.##.#.#.##..#......#.###.....###..##.......##...##....#.##.#..##.##.#.##....##.##########...##.#.##...#.##.......#.#....####.#######
#.#.##.....##..#..##.##..#.###.####..##..##....##.##.#.########.#....##......###..####.##.......##..##.#.##.##.####.##..##...##.#...####.#.###..#..#.#.#.##..##.#....##.##.#.###..####..#..#.#..###.###.##.######.#.##..##..##...##..#.##.......#.##.##.....#.##....####...#.######.#....##...#..##.#..#.#.##.######..##.#.#.#.####.##...#..##.#.####..###....####.####.#.##.#.#.##..#........#.##.##...#.########.#.#..#.#..###..####..##...#.##.##.....##..#.#.#.##..##...##..###....#########.##.#.#######......###.##......###..##.##.##.......####.#.##.###.##..##....##..##.#.####..#.#.#.###...######..#..######..########.####.####.#...##.#.##..........#.#####.#.##...#.###....###.##..###.#.########.#.#...#.##.#
#...######..##.##..#.###...#......##.###....##########..##.##.....##..###.#####..###...##.#####..##.#..#..#.#...##.....#####.##.###.#.#..#...##.##.#.#...##.##..###.##..##.#.#.##.##.##.##.....##.#.#.#.##...#.#....###.###..##.####....###.###.#.....#.#.###.##.#####.###.#..#.#...#.#.#####.##..#.#.##.###..#..##..###.#.#.#..#.#..#.######..#..###.##.####.#.##.#.##....#.###..##...#####.#####....#...#.#.#.#......##.#.##.##..##..#####.#.#..###.####..##...#..##.##.###..##...##....#..##..##.#...#.##..#.##...#####.#.#...##..#.##.##.#.#.#..##...........##.####.#####.##.#.##.#.##.#.#.#.###..###.##.#.##.###..###..##...#.#..##.#######..#..#.###.##.#####..##....#.#####.##.#.#......##.#.####..###..#.#.###.#..#
##.##....#.##...##.#..####.###.#####.#.####.##.#.####..##...#########..##.##..##...###..###.####.##.##.#.##.###..##.#.##.##..##.#.#.#...##.###..#..#.##.##...##.##...#.##..#.#.#..##.#...#####..#.#.....##.###...##..##...#.##..##...#####..#######.#####...#.####.##........##.#.#...####.#...##.#.#.#..##..##.##..##.....#.#.##...##..#.#.#.##.##.#.#...##..#.##.#....####.##..##..####..#...##..##.#####.#.#...####.#..#.#..###....##.#.....##..#..#.###..#.###.##.......##..###.##.####.###.##..#.###..##.################.#############.#.#.##.##.#######.#.##.##.#..#.#.....#.##....#.#.#....##.##.#.##........#.##.##.####.#.##..#..#.##.#.##.##.###.#####.##.###.##.....###.##.#####.#####....#.#.##.##...........##
##.#####.#..#.###..#.##..........##..#.#.#..#..#..##..###.#.###..#.###....###..#.####..###.....#.....#.#.##.#.#.#####.##..##..#.#.....#.##..###.##...##..#.####.####.#.###.#...##..#.#.#....###.#.#.######...#######....###.###..#.###...##.#....##.##.#..#....##..#####.###.##.#####..#.#.#.###........####.##.#..######.##......####.##...#.##....#.###.###...##.#.####.##.#..###.###.#.########..#..##.#.....#....####.#.##..#####.#..#####..##.##.....#.##.##.....###.#####..####....##.##...##.#.#.#.##......#..#.##.#.########.##.##.#######......#.#.#######..#.#.##...#####.#..##.#.#.####.........####.######..#.##.#.##.#.###.#.##..#.#.#.......###.#...##..#...#.#.#.....##..#.##..##.##.###.#.#..##.##.#####.###
#...####.##...#.##.#..########.#####...#.##...##.##..##.#.###.##.#.#.####...#.##..##..###..#.#...###.....##.#....#.#..#..##..##.#######.###..#..####.#..##.##....#.#.#.#.#.###.#..##.######.#.#...#....##..###.##.####.##...#.##....##.###....#.##..##...##.######..##.####...#..##...##.#.....#######.##.#...#.#.##.#.##.####.####....#..#.#.##.####.#.#.#.##.##.........##.##.#.#.#......####..##.####..#.######.####.#......##.#.....##.####..#.#..#.###..#.#..#####.####....##.#..#####..##.##.........##.#####.##.##.#.#.##.##..........##..##.###...#.#..##.#.##.#.##.###.##....#####.#.#.##.#.#######.......#.##.#..#.#.#..#.#......#.##.#.#.##.#####..#.#####.#.#####.####.###.##.##.###.##.#.#.#.##.##..#.##..#...#
##.##....####.#.#..#.##..#.###.#######.#.##.####..#####.#..#.......#.##.###.#..##.###...##.#######.###.#.##...####...##.####.#....#####.#.##.#.##.#..##.....####.#.#.....#.#.#.##..#..##.#....###.##.###..###.......#...##.##..###.##....##.#######..#####..#.###..##...#.###.#.####.##..###.###.......##.###.#...##.#.##..##....###.###.####......##.#.#.#.##....#########...........###.##....#####..##.#......#####..####.#..#.#.#.#..#.#.##.##...####.##...#.#####.....###.##..##...##..###.#..#.#####.....##.#.#..#..#.#.......####.##.###.###########...##.......#..#..#...##.###..##.#.#.####...#...####.####.##...##.#.##.#.###.####.#......#####..##.#.#.#.#.#.....####.####......#.#.#.##.#.....##..#.#####.######
#...####.#.##.#.##....##...#.#.#.##.##.#.##..#.#.##.#.#.##.#######...#....#.#.##...###.######...#..#.#.###..#...##.###..##.#.####.#.....#.##........##..#####.##.#...#.#.#...#..##.#.##..####.##..##...##...#.#.###.#.####..#.##...###.####..#.#..##..#..##....#..##..#.......#..##...##.##..#.#######.##.##....####....#.###.##..##.#.#.#.#..#######.#...#.#..####.##.##.######.####.###....##....###.##.#.####..##...########...#####.##.#..#.###.##.#..##.#.........######...##.#..####.##.#.##.###.##########.....##.##...#.##############..#.###.###.#.#######.####.##.##.###....#.###.#.#..##..###.###......##.###.###......#.#......#.#.######.##..##..#.........######.#..##..#.#.##.#.#..#...#.#####....##.#.####.#
#.#...##.#.##.#.#..##..###.......##.#..#.#..##...##.............####...##.#.#.####.#.#..#.#.###.##.#.#.#######.##..##..###...##.#.###.#.#.####.#.##..##.#.##..#....#########.#.##....#..##....###.#..#####.#######..#.#..##...####..##..#.#.##.##..#.##.##..##.##..#####.#.##...#####..#.#..##.##......##.#..#.###...#.##.#.#.#####......#.##.##..##..###...##...#.........##.....##....#######.####....#......####..####...#.###.##.##..#.##....##..#.#.###.######.####.##.###.#..##..##...#.#..#..##....##.#....###.......#####.#.#...##.#.##...#.#.#.#....#..##.....#.##......##.###.##....##..##.#....#####.###...#....#####.##.##.#####.#.##.##...#.####.#.##.#.#.######..#.###.#######.#...##.#####.#.##.###..#..#.#.#
#.#.#..#.#.##.#.#####.##.####.#.##..##...##..#.#####.####.#.###......####.#.#..##....#.##.#..........#....##.#..##..##.#.##.##......###.#.#..#.####.##....###.####....#.#.......####...######..##...##.##....#.#.##.#...##..#.#.#..####.........##.#.##..####..##.##.#.########.##..#.##...###..######.##...####.###.####.#.......##.#####.#...##..##.#####.#..###.##.##.#..###.###..#.######.#########.#.######..##.##.###.#.#....#.##.##..###.##..##.#.##...##.######...#..##.#.##..###.###.##.#.##..##......##...###.######.##.....###..#.###.##.......####.####.#.##.#..###.##..#.#..####..#.##....####.###...###.#.#####.##.#.....#.#.#.#.#.....#.....##....#####.#....##.#.......#.#...##.###.#.##..#.#......##.##.#.#
###.##...#.##.#.###.......#####..##.####..#.##..#.####..############.###....##.#####.#..#.##.#.#.###...####..#.##..##..#..#..#####.###..#.#.######...##.#..##..##..####.######.##.###.##.#.#..#####.##..####.#.#.##.#.###..####.##.##.#.##########.#..##.#.###.##..#...####......##.#..##.##...##......###.##.#...##..#.#.##.#######..#.##.#.###..##..#.#.....###...##########..#########.....###..##......##.###.##.#...##.#.####.#.##.###...#.###..#....##.###...#..###...##....##.###....#.#.......###########.#...#.##........######..##.#......#.#.#.##.#.##...####.#.######..##.##..#.#.##.###.#####..#.#.###.#....#.#..#..##.####.#.#.....#####.#.###..##.##..#...##.##.#.#####...###.#..##.....##...##.#####..##...#
#####..#..........#.##.##...##..##...#.##....#.##....##.##.#..##...###...##......##....##.############..#.##....#.###.##.##.##..##...##......###.##.######..#.####.#.##.##.##.....#.#.##...##.##..#..##..##..#.#.##.#...##...#..#..#..#.#..###.##....##..#..##.###...###.#..###.###...###.####..####.#..##.#..###..#.##.#.#...#.##.##...##...####.##.##.##.##.#...#..#..#.##.##.#.#.#.....#####.##.###.#.####..##..#.#.###..#.###..#..#...#.#...#.##...####..#.#.###.##.##.######..#...####.....##.#.#####.####.#####.###..#.#.##.#.##.#.###.##.#########.#..#..###..#...#.#....##..#.###.#....#..##.#.#.#.##.#..##.#.####.##.##.#..##.#.....###.....#.#.....##.....#########....##..#.#.#...##.#..#.###..###......##..##.##
#.....#####.###############.###..###.#.##.#.##..#.#####.##.##..###..######..####..####..#..##.#.#...###...#####...##..##..#.#..##..###..####......#..#.#...##...##...##.##.#..#.#......#.###...##...##..####.#.#.##.#.######.##.##.##...#.##.#..####..##.##..#.#...###.#.####.#.#.###..#...##..##..####....#.##.##....#.#...#...##.##.###..#...##....#..#####.#.######.##.##.##.......###...###..#.#...#####..##..##.....##...#.##.##.##.######.#.##.###.###.........##..#.#..#.##...#.#....#.########.##.....#....#####..#########..#.#.#.#.##....#.#..###.##.##.#.##.###.#.#####.##.#.#.#.####.###...#...##.##..#.#.##...##.#....##....################.#.#########.##.#.#####.##.########.#....####.##.#...#.####..##...#
#.#.#..###..#.##.#.#.##.#.#.#.#.###.....#.#####.#.#.##..##.#..##.##..#.#########.##....##.###...###..####.#.#.###.###..##.#...####..###########.#...##.###.##.###..###..##.###########.#.##..#..###.###..#.#...#..#....#.##..#.....####.#......##....##..###.#.##.##...#.#.#........##...#####..##.##...##.#.##.##.####.##.######.....##..##########.#.##.#...#....#.#.#...#.#..###.#..##.###.##.#...#.###.##.###..#.########.#.##.##.##..##....#.#...#...#..####.######.#.#.##....#.#####.######.####.#..#.#...####.##..##.####.###.#.#.#.#.#..#.##...###..##.##.#......#....##....#.#.#.#..##....##.##.####.##.##.#..##.##....##....##........##.#.##.######...###.....#..##........#.##.#.###.##.##....##.#####.##....#.#
#.######.##.#.##.#.#.#......#...##..###.#..#.#..#.#.#..###.##.##.###.#.#.###......####....#.###.#.#.##......#.#....###.##.#.####.#.##.##........###..#.#........##...##.##.#..###....#.#.#..#####.....##.#.###.##.#.#.##.###.#####..##....##########..##.#.#....#.####.#.#.###.#.#.#####.##.#..###.###.###....#.#..#.##.##.#.#..##.#####.##.##..###..#.#..###.#.####.#.#.###...##.##########..##...#.#.....##..#..##.###.##.#.#.#..#...#.######.#...#...###.#######.##...#....#.#.#####.#...##.....#.#...##.###.#..#..##.....#.#.#.....#.#.....######.##...###.##...######.########.#.#.....####.###.....#.#..##.##.#.##...#.####..#.####.##.#.##.....#.##.#.##.##...#.#.#.######.#####..#.#.#.#.##..###.##...##.#.#..#.####
####.#........##.#.#.######.###.#####...#.##.##.#.#.##.##..#..##.....#.#.#.##.##.###.##.###.##..#....#####.##.##.#..##.##.#..#.#.#.....##.#.#.######...#####.#.####.##...#.#.##.##.#.......##.#.###.####.#.#.#..#.#.###...##...##..####.###..##..#.#.##..#.####.#..##..#....####.####.#..##.##.##....###.###.##.##.#..#......#.###..#.#......#.##.##.....##.#.#.#.##...#...###.##.##.#..##...##..######.######.#.###...#.##...#.##.###.#.##.......###.#..##.#....##..###...######..##.#.#.###..#.#.....#..#######.##.##..##.##.#.####.##.#.#####.##.#..##.###..#..####..##.##.#.#.#.....###.##.....##.####.#.##..##.#....#.#####..#####.##########.####..#.........#.#####..##.##..##.##.#.#.#.#.##.##....##.###.#.#.#######
#......######.##.#.#...##...#.#.#.#####.#....##.#.#.##..##.#.#####.#.....#.##.#...#......##.###.#.####.#.......####....#....##.#.###.######.#.#....##.##..##.####.#..##.##.#.##..#.#######.#..#..##..##..#.#.##.#.#.##..###..#####.#.#......####.#.#..##.#.#.#..#.####...####.#...##..##.##.##.##.#####......##.##.#.##.####.#.#.##.....#.####.##..##.#####.#.#....##.##.####..#.....#.#####..#.#########.#.#..#...#.###..###.#.#..##..#..#.####.#######..#.#.#####.######....##..##..#.#.....#####.#.#####...###.##.##.#####....###..#...............###...##...###.#.###.##.....#####.###..##.####....##.#..#.###.#.#######..##..##.#..#..#.#.#...#.#.##.#########.###...###.###..#.##...#.#......##.##.....#.......##.#.#
#.#.##.#.......#.#.##.#####.....#.#.###...####..#...###.##...##..#######.#..#####.######........#...##.###.#.#.##.####.#.##.#..#...#..##.#########.##..##.#...##..##.##.##.#..##.#####.....##.#.##..##..##...#..#...###.#.##..#.#..#.#.#.##..##......##..#...##.#.#..###.##.#.###..##.##....##.#...#..######..#.#........#####.#....#.#.#....#..##.#...###..#.#.####..##.#..##...###....#.###....#.#.##...#.##.#.#.#..#..###..#.#.####.#.####.........##.##....##.#..#.#...#.##..####.....#.#...#.#####.#.##.##..........#.##.####.##.#.###.######.####.#.#####.##.#.#.#.#.#..######....#.####..#.####.##..##...#......###....##..##..#.##.##.#.#.###........#.#..####.###.#.#...##.#..##.##.###.#.##...##.##.#.#.##.##..#.#
#.#.##########...#.#...#.#..###.#.#.#...###.###.##.##...##.####.###..#.#.##..##.#.##..#########.#.####.#.#.###.#...#.....#####.#.###.##...##.##.....##..#.###..##.#..##....#.##..###.#####.##....##.##.#####.##.#.###.....###...##...#.###########.#..##.##.##..#.##.##.....#..##.##..####.##..#.###.##.##.#.##.##.##.#.##.##....####.########.##..#.###.##.#.#..####.##.#.##..#######.##..####.##....##.##....#.###.##.##...##....#......##..##.######..##.##....##...##.######.#..###.#########.##.#.....#..#.#.##.#.#.......###.#......#...##.######...#.##..##.#.#...#.#.##.##.#.##....####....##...##.####.#.######.####.###..##....#..#.#.#...#.########...##.##.#.#.#.#.###..#.###..#.#...#####.########.########.#.#
#####.##.....###.#.##.##.#####..#.#.###..##..##.#...###.##.#..#.#.##.....#..##.......##.###..#.....##........#####.#####...#.#.#.#....##.##..#####.####.#.##..##..#.##..##....#.##.#.#...#..###.###.#..#.##.....#.#.####.##.###.###.##...#.#.#.#.###.##..##.###.#.##.###.##...##..#..##.##.###.#.#.#.##..#.#.#...#.#######.#####.########..##..###....##.##.#.#.##.#..##.#.###.#.#.#####..##.#.....#.##..#####....##.##..##.######.####.########...##.####...##.####.###..#.#.#..#.###.....#.#.##......#####.####.##############.#.#.##.#.#.#.#...##..##.##.##.##..#.#.###....#.##.#.#..#.##.#####....####.#.#............##..#.#.##..####.##...#.###.....###..###...#.#.#.#.....##.....##...###..#.##.#.##.###.###.####...#
##.#...#####.###.#.#..#...##.##.........##..###.##.##.#.#..#.##.#..#####.##.########..#.#.##.#####..##.#.###.#.....#..###.##.#.....####..#..##......#.#.#.#..##..##..######.###.##.#.###.#.##...##....##.##.#.#...#.##.#............##.###.#.#.#.##...##..#.#......#...######..##.#.###.#..#.#...#.#..##.....##.##.#.#.##..#.##.....##..##.#..##...#.###.##.....##.#.##...............##.###.#.#########..##.#.####...##.#....##....##....##.#...#......####..###.#..#.##.#.#.##.#.....#####.#....######.###.#.#....#.#.#.##.##..#....###########..##.#..##.##.###......##.####..#.###.####..#.##..######....##.####.#.######.#....##.##......#....##.#####.##..##.###.......#.###..###..#.#...##.#.##...............##..###
#..###.#.#.#.#.....##.#.###...#.#######.##.###..#.......##.#.##.#.##.....#..#..##.#..##........##..#####.#.#######.##.....##...##.###.##.##....###.##.....#.##..####..##.....##.##.#.##.....###.#..####...#.#####.#..#.######.#####......#.#.#.#.#..#####.#.####.###.###....#.##..........##.###...#.#######.##.##...#..##.#.#..#.#..##..#.#.##..#.###....##.##..#.#.##.##.####.#.###.##.##.........#..##.##.#....###..#.##.#######.#####.##.##.#######.#..##..##.##.#.#..#.#.#..#.#.#.##.#....##..#.##........##.###.#...##..##...#.###.#..##.#..###.#.##......####.####....##.##.##..#.###.#.###......###.##...#.##########.####.##....#.#.###.#....#.##...##....#...#.##.#####..#######.###.#..#....##.#.#.#.####..##.#.#
##.#.#.#...#.###.#....#.##..#.####.##...#..#.##.######.###...##....#####.##.##.#..##..####.#.#..##.##.##....##.#.#..#####.#..######.#.##..######.#..#####.#.##.##..#.######.##..##...#..#.#.#.#.##.#.#..######.##.##.#..###.#####...#.####...#.#.#.##.##..#.##.#..##...##.#....##########.....###.##.##.#.#..#..##.###.###.....#########...#.#####...###.###..##.........############.#..##.#########.##...#.##.###.#.##.##..#.##...#.##..........##.####.####.#...#...##.#.....######......##.##.##....#.#.####........#.##.###.#####...#.###.#.###..#.#..######.##....###.##..##.##.##..#..#.#.#.##.#.#...#..###..#.#...##...###.##.#################.#..####.####.########.#.##.....#.####..##...#.############.####....#
#..#...###.#.#.######.#..####..#.#..###.#.##..#.#.#.#..#.#.#.##.#####.#..##......##..##..######....##.##.####..#.#.##.....#.###..##....##.#..##....##.###.#.##.###.#..##.##..##.####.#.####.#.#.#......##.##.#.........##....##.###.####.#.###.#...##..##.#..#.#.###.#########..##.#..#...#####...##.##.#.##.#.##........##.####.#.#..##.###..#.##.#####.#.#.##..###.##.###....#.##.###.##...#.##..##..###.#.....##.#.##.###...####...####.########....##..##..#.###.###..#.##.##.#.#..##.#########..#.#######.#.##########...#..##.###.##.#.#.#.#.##.....##...#...##.####..##.##...#..##.#.##.#.#..#######.##...#.##...#####.##..........#.#.#.#.##......##.#.........###.##....#.#####..##..####.####.##.#..###...#####.##
##.###.#.#.#.#.##.##....######.#.##..#..#.##.##...#.##...#.###...##.#.##.#####.#....####.##.#.####.#..##...###.#.#..#####.....##..##.###..#.######......#.#.#..#.#.#.##.....###.#.#..###.#..#.#.#.#######.#..######.#######.###......##..#.#.#.###.#..##..##.........##.##.####.#..##.##.##...###.##....#.#.....#.####.###..#.##.#.##....#.#.##.##.##..#...#####...#..#.....####.#...#.....#.#..##..##.#.#.#.######.#.##...#.###..###..##...#...###.######..##.........##....####.#.##.########.##..##....##...#...###.######.##.....#..##.#........#.#####..###.####..#.##.#...###...##..#.##.#...###.#.#..##.###.##.#######..###.########.#.#......######....#########.#..####.....#.#.##..#####.#.##....#.##.##.##.#...##
#......#.#.....##..##.####..#.....##.##...##.##.###.####....####.##.#.##.#.#.####.###.#..##...##.....####.##.#.....##.#...######.##....##.#..##.###.###...#.#.##...#.#..#.###.#.#.##.##..##...#.#.##..#.#.##.#......#..##.#...##.#.#.###.....#.##..#.####.#####.######.......#....##.....###.###...####.#.####.##.#.####.##....#.#.#####...#..#.#...##.###..####.####.#.#.#.#......###.#######.##..##..#.#.....##...#..###....##.##.##..##.##.###.#.#.#.#..##..######.####.#..##..#.##..##..##...#.#####.#####.#.###.#..#.##...#.#####.###...#.#.##.......##.###..##..##..#.#.###...#####........###.#.#.##............##.##..###..#.#.###......###.###.#...#####..####..##..##..##.##.#.###.#.##..#....####.#......#...#..#
######.#.####.##..##...#.##.####.##..##.###...#.##..#.##.##.#.....#...##.#.#.......##.##..###.######..##..##.#####.##.###...##...##.####....##...##.#...#......###.#...######.....#.....#####......##.....##.######...##..#.###..###.#.#.#####..##.#..##...####...##.#######.####.####.#..##..#..###.#.................#.#..#.##.#..#.#..###.##.#.###..#.##..##..##.#####.###.########.##...##..##.###.#.##.#######.#.##...####..##.#..##...#.....#.......####..#..##..#.####..##.#....###.###.###...#####.#.....###.#.##.##.#.....###.##..#####..#.#.#.####.#.##.##.###.##...#.###.#.#.####.#######.#.#.######.#.#.#####.###.##..##.#.#.##.#######.......#####.#.##..##..##.#..#####....#.#.#..##.#.#####.#.#.######.######
##.##..........#.####.##.........###....#.###.#..##...##.########.###.#..#.#######....##.##....##.#..####..#.#..##.#....#.######.#...######..###.##########.#.####.##.####..#####.###.#...#.###.####..#####..##...###..##.#..#####...#.#.#.##..##..#.##..###..#.###..##..#....#.#.#..###.##..##.##.#.#.##.####.####.####.####.##.#.##.##..#..##.....##.#.###..##.....#.####......###.#..#.###..###.#.#.#.#...###.......##.##....##..#.####.##.#####.##.##.#.##.##.######.##.#.##....#.##........##.###..##.#####...#.#..#.#####.####.#.##.###.#########.###..#..#.##.#.#....###..#......#.#........#.#....##....#####...#.#......##....#.##.#.....#.#.#####.#......##..#.##..#.###.####.##.....###....##.....#..###......###
#.....######.#...#.#...#######.#...####.#.##....##..#..#.#.##.......#.##.#.#.##.###.###...####....##.#####.#...###.#.##......##..#.###.##...###..#.##.##.#..####.#.##...#..##.##....#####.#.#.#..#.#.###..##.#..###.#.##..#.##..##.#...#...##.####....##..###.#.#.##..##.####...#.#.##....#.##..##.#.########.....####...#.#..##.#.#..###...####.####..#..##.##..#.###.#.#####.###.#.##.#.##..###..#.#...##.##.####.##.#.....######.#..##......###..#######.#......#.#.#.#..#....#.##.#..##.#.####...#.###..#..##.##.##....##.#............#....##.#.####.##...##........####.##.#.##.###.#.########.###.######..#.####.#.######.##.####.##.#.#######.###.....#.##..#.##.###.#...#..##...##.####...##....#####.##...##.###.#
#######.##.#####.....#.....#.#####.#.......####..####.##....####.##....#.#.#.#.......####.#..####.....##.#.#.####..####.###.####....##..###...##.#..#..#.##..##....##.###.##..#..#.####.......#.##.#.#.#.##..##..#..#..##...#..######.##.####..#.##.####.##.#......#.##..##.###...#..####...###.##.#.##.###.##.######..###.##.#....#.##...######.#.#..##.###..#.##........###......#.##.#..#.##...##.#.###...#....###....######.......##..#.##.#.#.##.##.#..##.#####.#.#.##...####..####.#######.#.###.#.#.##.###.##..#.####....#######.##...####......##.##.#########.#...##.##.#.####...#......###.##...##.###....##..#..#.#.#..#.#.#.........##.####.#.#########.#.##..#..#.###.####.###...##.####.##..###.....#.######.#
#.###...##.##.###.#.##.###.#..##...###.###..###.##.##..###.###.#######...#...##.####.#.##...###...#.#.##.....#..##..#.#.###..#.#.##..##...###.##.##.##....##.#####.#...##.###.#.##..#.#######.#.#....#.#..##..##...##.##..###.##.##.#.#...#...##.....##..#..####.###..##.#..##..###.###.###.#.#..#....#.#.#.##..#.#.#.##.#.#..#.####.####.##.##..#.##.#..#.##.#.#######.###...####.#.##...##.####.#..#.#.###...########.##..#.#######.##.#######.#..#....##.....#.##.#...##.#..#######.#...#.##..#..#......##..#..###.#....##.####.#..#.##.####.##.#####..##..#.##.##..#.####.........###...#.#.##.#.#..####.#.#.######.#.##.#.##.#.....#.#.##.##...##....#.##.#.####..##...##...#..##..#.#.####....#..####.##.######.#..#.#
#.#.###.#..#....########.#.#.#####...####..##.#.....##..##..#.....###..#...########.......#.#.#.#.#.#....#.#.#.##..##.#...##.#.###..#####.#.#.##....###.###....##....###...##.###..##...##......#.####...####..###..#.#..###..##.#......###.#######.####.#.##.##.##..##..##..##..##..#....#.....##.####.#......##...#..#.#.##...#..#...##..#..##.#.##.##.#.##.....##.####.###.#.####.###.###..##....##...##..#.#.##..##.##.##..##.#.#..#...##.#..#.##.#.####.##....#.##.##..####..##.#...###.##.##.##.########.#.##.#.#.####..#.#....####...........#..##.##.##.##.#..##.##.####.#.#####..#######..#.##.#.#..#.#.#.#.#....##...##.#.##.##.###.....####.####....#.#.##.###.#####.##.####...#......########.#..#.....##.#.##.#
#...#.#.##.####..##...#....#.#..####.##.##..#.#####..##.###...#####.######.##.##..###.##.##.#.#.############.#.##.##....######..###.#.##.......###.##.....##.###..########..#..#..####.######.#....##..###..##...##.#.#.##.##.##.######..##.##.##...#.##.#.##.....##.#..####.###..##.####.####.##..##.#.####.#..#.###.##.#.#..###.##.###..##.##.....#.#.......#.####..##.........###..##.#.##..####..#.###..####.###.#...#.#..##....##...#.#....##.##.####.####.####..#.###..#.#.##....###....#.##........##.#.............##.....##....###.#.###.#.#.##..#..##.#....#####..##...###.##..###.#.#..##......##.#.#.#.#.##.#.####..#.#.#############..##.......####...........##....#..##..#...####.....###....##.#####.......#
###.#....#.##.##.####.####.#.#.##.##.##..##.#.##.##.##..#.##.##..#..###.#..##..##...#.#######.#.#####..##.#....##..####....##..##...#..######.##.#..#####.....#..##....#.##.##.##..##....##.#####.##..##.##..###............#.##..#..###.....#..##.##.#..#.#####.##..#.##.....###.#...##..###...##.#..#.#######....##.##...##.....##.#.##.##..####.##...#.##.####.#..####.########.#.##..#.#..##.###.#.#.#.####...##.###.#.#.#####.##..#####.#####.....##..##....#.##....#..##.#.##.####...##.#....##.######.#.##.#####.##.####.####.#.##.#####.#####..##.#.###.##.###.##..#####..##.###.......##..####.###..#.#...#.##.###..##.#.#...##.##.....####..#.#.#....#.######.#.##..##...####.###....#######...#####.....##.##.#.#
#...####.#.#..##..#.#.##.#...#.##.#..###.#..#.##.##..##.#.##..##.##.....##..##..###.#...##.#..###.#.##.#..##.#####....#.####..#####.#.##...#..##.##...#######.##.##.####.#.....#..#####.##...##.#.##.###..##.#...######.#####..##.##.#.#.#####.##...#.##....##....##....####.##.#.##.###.##.#.####.#.##.#..##.##.###.....#.#..###.##...##.#..##.##....#.#.####......##..#.#.###..#.#.###.....##...##........##..#.#......#.#..##....##.#.##...##.#.#######.####.##.###.#...###...#.......######.##..###......#.####...######.#.....#.###.....##..#.##.##..#.#...##.###..##.##.#..##..#.#.########.##.#..#.##...#.#.#.##..##.##......#..#.#..######.#.##.#.#.####......#####..#######.#####..#.####.#.##.##.##..#####...#####
###.#.#....##.###..........#....#.##.#.#.##.#.##.##.##..#.##.##...#####..##.#..##.#...###..##.##..#....#.##...#.#####....#.##..##......###.##....#..#.#..###...#..#...##.#####.##..#.#..####.#..#....#.#.##..#.#.###.#...#.##.##..##.#.#...##..####.#.####.#####.###.####.##.#.....#.#.#.#.........#.##.##.........##.######.######..#.#..##.##..#.#.######..###.######.#.#...##...#..###.#######....#########.#########.....###.##....#.###.###.......##...##..##..######.##..###.#######.#.#..#######.######....#.#...#.#..#.##########.####..##.##.###.#.#.####...##.#..##.##..##.#...##.#.##...#.##.#..###.#.###.##.###.##.#########.#.####.......#####....#.####.##.###.##...##..##...#####.#...##.##.#..#####..#######
#.#.#.#.##..#..#########.####.#...........#.#.##.#...#.##.##....#..##.##.##.#.###.###.#.##.##..##.##.#....##.##..####.##.#.##.#######.##.#.#####.##.###.##.###.##...###...##.#.###.#.#.##....##.#.####....##.#.###.#...###.##.##.###.....####.##......#.#..#.#.#..#..##...##.#####...#.#.##.#.######.##.########.#.#..###.#.....####.####.##.##.##.####..##.##...###.#..#.#.###..###.##...#.####..##...##.##.#.#.##..#.##.####.######.##..##.#...#########.##..###.##.#..#.#..####.........#...##.##..#.#.#.##.######.###.##...#.#.##..#.......##.....#.#...#......#....##.##.##.##..#.###.....###.#.#....##.#.#..##.##.#.#.#.......###.......#.##.##..#.##.##....#.####..##.##.###..#####.#.##..#.###...#.##..#..##...#.#.#
#.....#####.#.##..##.#...#....##.#####.##...#.##.###.#....###.####.#.....##...#.#..##.#..#..##.##..#####.##..##.##..###..#.##..#.#....##....##...##..#..##.##...#.#...##.##.............####.##......####..#.####..###..##.##.##.#.#####.##.#..####.###...##.#.##.#.#####.##.#.#####......###.##..##.##.#.#.#..#.####.......#####.##..##..##.##..#..#.##..#.####.#.#.#.##.#...##..##..##.##..##..########.........##...##.#.##.##.#......###.#.###.##..##...##.##..#..##.#.#.###.#.#########.###...#.##.#....#.##.##...#...###......##.#.#.#######.####...#...#.#.###.#.#..#..#...##....##.######......##.#......###.##.#.#.#.###.#.....#.#.#...######....#####.#....#.##.#..##.####.#.#......##.#...###.#.##.##.##..#...#.#
#####..##.#.#.#..##..#.#####.#####.....####.#..#.##....#.##.######.##.##..##.##...###.#.##.##..###..#.......##...##...##....#.##.####.#..#######.###.##.....#.#.#.##.##...#####.#.#.#.###....#..####.#.###.#..##..##...###.##..#.#..##.#......##..#..##.#.........#..#.#..##.#.#.#.##.##.###.....###........#.##..###.#####....##.#..####.#..###.#.##.##.##..#.#.#...#..#.#.####.##..##...##.#..###.##....############.#.....#.##.###.####..........##..###.##.#..##.##..#.#.....#.##.##.#.#.###.###.#..#.####.##.#..###.###.#.#.#####.#.#####.#.#..#####.#####.###.######.##.##.####.###..###.#..####.#####.#####.#.#....#.....#.##.#.########...#.#..##.....###.#.##..#.##......##.#.##.###.##...###...#..#.......####...#
##.###.##.....#.##..#####.##.#.#...#####.#..##.#.####.#####.##..#..######....####.##.....#..##..###.####.#.#####..##.##..##...##..##....##.#.##..#...###.######.#.#######.##.####.#.###.####.##.######.#.#...###.#####.##...##.#.#.##....########...######.######.#.##.##..#.#.#.......####..#.###.##.#####...###..#......#.####..#.##..#.#.##.....#........##.#.#.###.##.#..#.#..##.#..####.##...#.#####.###..#.##....##.####.##.##..#.##.##########..##....#.#.##...##.....#.###.#.......#.#.#.###...##..###.##...##.#..##.#.###.#...#..##.#.#.#.##.#.#.....#.###..#..##.##.....#.#..###.....#.###...#.#.#.#..#..#.##.###.#.#.#.####...#....#.###.######.#.######.###....##.######.#.##...#####.##.#.#...##.#.#.#..#######
#..#...##.###...###..##.#..###.######.#..##.##.#...##.#.##..###...##.#.###.#..##...####.##.####..##..#####.#.##..###..#####.#####.####.##..#..##...###.#..#.##..#..##.##..##.#.####..##.#.#.........##.#.###..#...##....##.##..#.#..##.###...##.###...##.####...#.........##.....#.#.#..##..######.##########..##.##.######..#.##.#..##.#.#..##.####.##.#.#.#..#.#.#.#.##.##...##..#.#.##....##.###.#.#...#.#.##..####.##..#...##..##.#..#......#.#.##..####.#....##.####.######.....#######.#.#...###.#..##.#..##.##..#.##..#..#....###.##..#......#.#...#######.#.##.##..######...#.##.#.#######.#.#.....#.#.##.##.##..##.#######.######.####........#.######.#####.##.####....#.#.#....###..##..#.####.###.######.#...#.#
##...######.###.#.##.##.##..##.##.##..##....##...###.....##...###....#.#.###.##..####.#.#..#.###..##.#.#...#.#..##.##..##.#.#.##..#.#.....##.##..#..#..##...###.##.....##....#.#.###.##.....#.#.#####..#.#.##.###....####..###.....##....###.##..#..###...#.###.########.######.#######..##.#.##.....##.......##.....####.####.##.#.##....##.##.####..#.#####.##.#...#..#.##.####.##....#.##..#.....#.##.##....#.##.##.###...#.##.##....##.###.##...###...##.#.#.##..##.#..##.##.######.##.#...#.###.#.#.##..##..#.##.##..##...##.#####...##.##.#####...#....#.##.#.##....##......###..#.#.#.#.##..#.##.####.#..#.##..#.###..#.#.#...........####.##.###.##.#.#...##...#..##..#.##.#.##.######..#.##..##........##.###.###.#
####...#.#........##..#.##.##.....###..##.#....###...######.###.#.##.#.#.##..##.##..#.#.##...#.##.#..#.###.....##...#.##....#..##.#.##.##.##.###.##.##.##.###...##.#######.#..........#.#.#.#.#..##.##.#.#......##.#...##.##.#####.#..####...###.##..####.#.....#....##...#..####.#.#.##....#..#.###..#######..#.###....#..#.#.##.#..####.##.##....#.########.#....###.##.##.##.#.##.##.#.#..##.###.#.##..#.####.##.#..#.##.####..#####....########.....###....#####......##.....#..##...#...###.......#.##.####.#.......##..#.##.#.#.#.####.#...#.####.######.#..#.#####..######.###.##...#....##.####.#.##.##...###...#.##.#.#...#.#.##.##...####.............#.####...##..####....##......##....##.##.##.#.###....#..##.#
#....###.###.#.##....##.#..######..##.#####.##..###.##..##...##.###.......##.#...##...#.#..#...##.##.#.#.##.#######....####.#.##..#..#.#####..##.#..#.....#.###.#....#.######.#.#.##.##.########....##...#.##.########..#.##.#.#...#.##..###..#..###..##..#.###.##.#####.##.##.##......####.#.##..#####....##.##.########.##.#.##...##....##....#.##.##...#.#.###.##.#.##.#..##......#######.#....###..##......#.##.##.#.##..##..##...#.####..#.#...#.###.##.#..##.#.#.####..###...####.##.###...#####.#..#..#.....#.#.####.####....#.#..#.#.#.###....#....#.#.##.#..##...##.###..#.#..#.###.#.##...##.....#..#.#...###..........#####..#..#####.############.#####.####..##...#####.#..#########.##..#..####.....####.###.#
####.##....#####..##.##.#.##...###..#.##.#...##..##..##..#.#.##.##..#####..#.#.######...##.######.#..#.......##...###.##.......##.##....##.##..####.####.##.#.....####..#.#...###.#...#####......#######.#.####.#.#.##.##.##...###....##...##.##.#.##..#.##.#...#...#.##.##.....######...........##.#.####.....#.#.##.#.#.#.....###.#####....######...###.....##...#.#.##.#.###.####...#.##..##.####..####.#####.#..##....#.####..###....###.##.##.######.##.#####.#.######.########.#...#.##..####.#####.#.##.##########.#.#.#..####.#.##.#.#..##.##...####.#..#.#.##..###..#.##.....##.###.#####.######.##.##.#####.#.###.##.#..#.###.#.####.#..###.##.######..#..#.##.##..#...##..##.#.#.#.#....##...##..#######..#.#.#.#
#.......#####.###.#........#.#..###........####.##..###.####.##.#..##.####.#.#.##...#.###..###....##.######.##..###.#..#.###.###...##.####.#..###...#.....#.#####...##.##.###...###.#..##.####.#.#..##......##..#.#.#..##..###.##..######.##..##...###....#.###.###.#.#...###.###.###..##.#########....#####.#...#..#.#.#...######...##.#.######..###..#..#.###..###...##.....#....##.##....##.....##.##.#.####..##..##.###...##.##...####.#.##.#...###.#.##..##......##........##.#.##.##..##.##....##.#.#.##..#.#.#.##..#.....##....#..#.#.##..#..##.##.##...##...###.#.##.#....#.#.........#.##.#.#....##.....#.##.#.#########...#.######.#.#.##...##......##.##.#.##.##.######..##........###.####.###.####...##.......#
######.##.##...#########.######.#.#.##.#######...##..#...##..##.####.........#.###.##...##...####....#.##....#.##...##.###.#...##.##...#.#.##.#.###.##.#.##..##.#.####.##.####.####.##.##...####.#.########..##.#.#.##..##..##....##.####..##.####..##.######.#.#.#.#.##.##....##.#.####......###.#.####.###.#.#...##.#.#.###.##.##.##..#.###....##.#.##.#######.....###..#.#...###########....#####.......#..##.##.###..##.###...##.##.##.#.##.#.###.#.#.##.#####.####..####.#.#..#.#...##.##....####......#..##...#.#..##.#####..####.##.#.##.##.######.##.###..###.....##.####.#####.#######.#..#.####.##.###.#.#......###..######..#.##..#.#..#.####.######...#.#.#...#.#.#..##..##.#######...##.#........#.###..#####.#
#....#.##.###.##.#...##..#.##...#.####.#.....###..##.#.####.##...##..#.#####..........####.###.###.#....###.##.###.##...#....###...#.###.#.##....##..###..##..#.#..##.......#####...##..##.##.#......##.##..##..#....#.##..###.##.#...##..###.#.#..##...#.##....#.....#...###.###.#.#.###.#####.....##.#.#.#####.####......#...#.#...##.....#.####.........#..##.######..########..###########..#.######.#.#.##..#..##..##....##.##.....##.#.##.#.##.......#...##...#.#.###.#####.##.##.##...#.####..##.#####.##..###.#.##......##.#....##.#.#.......###..#....##...#.##.##...###.#####.....###.##...##...##.###.#...######.#.##.##.##.#.###.#.#.##..#...#....###.#.#.##.##.#.#.####.##.#.#.#.###......########..###...#####
####...##..##.##...#..##....###....#.#######...#.##.....#.#.#..#####.#.#.....#.####.#..#.#...#.#.####.#.#.#.#..#.#..###.####.#.###.#.##..#.####.####..###..##...#.##..#######.##..#..##....##.###.####..##.####.####...##.##.####.#.#####.#.#.#.#.####.##.#####.#####.##.##...##..#...#.#.......#.###..#.#..#.#...#.##.###.#.###.###.##.##.##...####.##.####.##....#..##....###.##..#.##...#...##..#.#.###.#..##.#.####..##.####....#.#.##.#.##.#..###.###...#####.##.#.##...#.##..#.#...##.##..#.##.##..##...##.##.#.#.#..#.##......##.##...#.#######.#.##.####..#.####.###.##.#...#.#.#.###...####.####..###.....#..#.......#...........#..#.#..##.#.###.####.#.#......#..#.#..##...#.#.#.#.#.##.######.#.#...##.##.##.###
#....#####.##..######.####.##.####...##.#.#..#....###.###.#.##...#.######.##.#.#..####...#.###.#..#.###.#.#...##.##...#.##......##.#..##....##...#.##.#.#.#####....##...###....##.#.######.##.##..#..##.#....#....####.#.....##...#.#..##.#.#.....#.##..#..##.#.###....#..##.####.###.#...#######..###...#.##.##.##.#..#.###......##.##.#####.###.#..######..##.####.##..####.#....##..###.##.##..##...##..#.##....##.##.##.#.#..#.######..#.##.#.##.#...#.#.#.##..#.....##.##.###...#.###...##.#..#.##.#####.#...#.......#########.###.####.....##..#.#..#..#.##.####.#..#..##.#.###.#.#####.#.#.#.....##..###.#####...##.##...#.#.##.####.##...###....#...##..#.###.####.##...#####.#.#.#.#.#.##.#..........####..#......#
####.#.#.#..##.##.#......#.#..##.##.##....######.##.#..##.#.##.#.#.##.#.#..######.##.#.###.##....##.##....#.###...###.#..###.####....####.#..#.#........#.#.....#####.###.####..#####.#.....#.###...##..####.##.###.##...########.#.#.##..#.#.#####.#..##.###...#.#.##...##....#...##.###....####.##...#......##.#....##..#..##.###...#.#.##..#.#.##.#.#..##..#.##.#.##.##.##.#.#####.##.#.#.....###.#####.#.###.###..#..##.#.####.##..###.#.##........#.#####..##.##.#####.##.#.#.###..#..###....##.#..#.##..#.###.#####...##....###.###.##.###.###.#.##...##.#...##....##.##..#.###.#####.#.###.###.#..#.##......###.##################.#.##.###.#.####.#####....##.#.##.#..###..##.#.........##.#.##########..##.#.######
#.##.#.#.##.##.##...####.....##......####.#.#.#.....##..#.#.##.###.#......##............##.##.####..#..##....#..####..#.##.#..##..####.####.#####.#####.#.#####..#....##..#..##..#.#..###.#.......####.###.#..#..#...##.###.#.#...#.#..##.....###.#.#.###.#.###.#.######..####.#.###...#..#.##..#####.#######......#####.##.#####.###......##.#...##.#.#.##..##.##.........##....#..#.##...#.#####.#...##.....#....##...##.....##...##..#.....##.###.######.#..##..##...##...#.#.#.#.#.##.#######.##.#.##..##....#......#.#..####.###.##......####.#......####.##.##..#####..##...#....#..#.#..#..###.##....###.####.###.##........##.##..#.#....#.#.##.#.#...#.##.##.#.##...##.##.#..#.#########........###.#..###....##..#
#.#....#..#.##.###.##....###..######.#.#........#.#..##.#.#.##.##..##########.##.#.#.#.###.#...#.##.####..##...###.##...##.##....##.....##....#.####..#.#..##...##.####..##.##..##.##..##########.#.#..##..##.##...####.#.#...###...##..##.#.##...#.#.##..#.##..#.##.##..####..#...###.#.######..##.###.##..####.###.##.......##....##.#.####.#.###.......##.#.....#.#.#####..#.##.##..###.....###.##.##..###...#######..###.#..#.#####.#.#####....#.#..#.#.##.###.##.######...#.#.#.#.......##........#..##..####.###########.##......###.##...##...##.#.##.#.##..##..##.#.#####.#.####.##.#.##.##.######.##.....#.........########...##.#.#.##.#.#.##.....######..#.#.##.#....##.##.#.......##..#.######.#...##.#.####..##
#.####...##..#.#...###.###...##.#.#....#####.#.#####.##.#.#.##..#.##.#.###....##.#.###.#...##.##..#.###..####.##...####.##.#..########.######...##.##.#.##..###.##..#.##..#..##.#..###.#..###.......#.###.##...###.##...#...###.#.###..###.######......##....##.#.#...##.##.##.###.#.......#.##.##..##..##.##.....##.##.#.#########.##.#####......##.####.#....##.####....##.#####..#.##.##.####.#.##..#.#####.##.##.###..#####.#....##.#..##...######.##.#.#...##.##..#..##.#.#.#.#.#.##.#####.###.##.#.##..###.......#.#.#.#.###.#######.######..######.#..#..##.#..##..#...###....#.#..#.#........#.#....##.####.#######....##.###.##......####...##.#####.##.##.#......#######......#######..####.#.##...###..#......###
#.##.##.##..##.###.#...#...#..#.#.####..##.######..#.##...#.###...##.#...#.##.######.....###.....##.#.##.#.....##.##..#.##.##.###.##....#..##.###........#.##...###...##.##.###.##.....#.##.#.###.#...#...#..#####..###.#.####......##.##...#...##.#########.##.#.##.###..#.#...##.####.####.....##.###....######....##.###..#.##...#...##.###.#####....####.####.##########.#.#.##.#.##.##..##.....##.#.....####..#.#.#.##.##....####....#####.##..##.##.#.#.###.....##.###.###.#.#.#..#.##......######.##.##...#######.#.....#.#..#.##.#...##.##..##.####.##.##....###.##.###...##.....##.#.########.###.###.###.......##.#.###..##.##.##.#...###.##...#.##.##....#.####..##.#.#####.####.#.##...##......#.#.##.#.######.#
#.#..##..##.#..###########.##.#.#..####.#..##.#.##.#.##.###..##.#..#.#.########..#######.####.#####...#######.##..###....#.#....#..##.###.##..#.####.###.#..###.....###...#.##...#####...##.#########.###.##..##...####.#.###..#.##.#..#..###.###..#.######..#.....#.#.##.#.###.##..##...##..#####..#.##.#....##..#.###...##...####.#.#.##.###...#.#.#####...###...#..##.#.#.#.#.#....##..#.##..#####....#####..#.##.........####...####.######..#.##..##.......##.#.##....#..##.......##.##.##.####.##..##..##.##...#.#.#.###...#.##..#...###..##.##...##..##.#..#.##.#.....####..#.######....#....##.#.#.#.#.....#.##.##..#.....###.##.######..##..##.##.##..#.##.#...###.##.#.##..#..#.#.#.##.###..####.###.##.....#....#
#.##.##.##..#.##..##.##.#..#......##....##.#.......#..#.#.##.#####...#.#.##.##..##.....#.#.##..##.##.##.##.#...##..###.#.....####.##...##..##.#.#..#.#.....##...#.#.#.##.##..##.##.#.###.##.###..#.....##.###.####.##.....#.####.#####.##.#.#...##.#.#.##.##.#.#.#.....##.#.....###.###.##..##...##...#######....#####..####.###.#..#.####.#.###.#.#.#.#.###...##.##.###.#.......#.######....##.#...##.#.....##.#.###.#########.#.###.#..####.##.#..##.##.###.#.##.#..#.####.##..#.##.########........##..##.##....###.#.#.#.#####..##...###.##.##.##.#..##..#...#####.#.#####.#..#####.#.#.####.####..........#.###.########.##.###.......#.###.###..#..#.#..##.#....#..#####.#..##.#.##.#.#.#...##.###.###....#.#####.####
#.....#..##...###.#..##.########.######....#######.#.##.#.##..######.#...##.###..###.#...#.##.##..#..##.##.##.##..##.#######.#.##..##.##..##..#.##.#######.######.#...##..#.##..##.#..#...#.#.##...###.##.#.#..##...#####....##....##.....#...###.......#.#..#######.####.#####.#....##....###.######.#.#...####.##....###....##.##.#..##..#.##........#.#.#.#######.#.....#######.#..##..#####.#.####.#######..#..#..##.##.##.....##.##..##.......##......##########....#.#....#######..#.##..#.#.#####.##..#..##.............##..###.###.#..#.##..#.######.###..##.#.#.#####...##.#.#.#....##.....#####.####.#...#..##.##....####..#.#.#.....#.#...##.##...#######.###.#.##..#.##.............###....#.######..........#.#
####.##.##..#.#...##..#.#.#.........###.##.###..##...##.#..##.#.#.#..##.##....#.#######.##..#..##.##.#..#......#.###..##.....#..#.###..##.#..##.#...##.#.#..##.##.###.###......###.##.###.#...#######.........##..###.#...#####.#.#######.###.##..##.####.##..#.#.#...#.#.#.###...#.##..####...#.##...#.#.###..#..##.###.####.##.#..##..##....###.######.#.#...#.##..#.##.###.#.##...##..##........##...##.#.##.#.##.##..##.##.#.#..#.##.#####.#######.#.###.#.##..##.####.#.####.#...##.#.#..######..#...##...##..#.#.##.#.####..###...##.#.##.###....#.##...##.###.........###.#........######.####.#.....####.######...#.#.####..################.......###.##.#....###.###.#..###.###.#.###.....####.#.#.###.###.#.#...#
##.#..#.#..##.###.###...#.#########.....#....##..###.#..#.##..#.#.##.#...####.#.#..###..###...##...#.##.######.#.##..##..#.#...##.#.##.##.#.##..##.##..#.#.###..###....##.##.#.#....#.#.#.###...#.#.#########..##..##.###..#....###.###.#.#....##..###....##.##.#...###.#...#.#####.#..#######...####.#.#.##..##.##......##.#..#.#.###.##..#####....#.#..#.#.###.##.##..###.#...##.#.#..########.####.###....#..#.#...##.##.####.####.##...###..#..##..####.....#.##.....#.#.###....###..#.##.#.#..##.#.#....#.#######..#.####.#.###..#.#....##..#..####.####.##.##..#.#######...#.########..##....##.###.#...##.##...#.#######..#.##.#.#.#.###.##.#.#####.##..##.##.####...##.#.##....####...#.#.#..........#.#..#######.##
#..##...##..####..#.###........#.#####.###.#.###.......##..##.#.#.##.##.##.##...#.##.##.#.###.####.#.#...##.......##..########.#..#.#...#.#.#..##...##.#.....##.##..#.###..########...#.#..##.#.#..........##.##..##......##.##...#.#.#.#.###.####..#####.##.#..##.##...###.#.#.##....###..###.###..#.....###.##.#..#######.##.#.#.##...##...#.##.###.#.##.#...#.##.##.##.....#.##.####...##.##..#.....###.###.##...#.##.....##....##.##.###.#.##.##..####..##.##....###.#...#...####.##.#....#.#.##..#.##.###..#.#.#########....#.#.######.##..##.###.#..##.....#..##.##....###.......##...##..#####..##.###.#####.###..#.#.###.#.#..........#.#....##.######..#.#...#.#.###..#.##.####.##.#.###.#.#.###.#.##.#.##.#...#..#
##..###..##..##..##..######.##....#..###.###.....#####.##.##..#.#.##..#..#.####.#.##.......##..###.#.##.####.###.##..##.##..#..#.##.##.##.#.#.##..###..##.#.##..#####...##..#.##..###.#.#.###.############.#..##.#####.#####..#####.#.#....##..##..##.##..##...##..###.###.......###.##.#.##.#...##.####.##...##.##...#.##.......#..#.###..###..#..#..#..#.#.###.##.#...###.#####...####.##...#.##.###.#....##.#..#.#..#####.#..####..##.##..#.....##.#..#.###..####.#######...#.#.#..##.####...#..##....#..###......##..#..##.###.....#.#...##.##...#.#.#####.#...#####..#####..##.######.####...##..##...####.#.#..#..##.#...#.....##.###.###.###.###...##.##.#.#.###.....#.##.........##########.#...#.#.##....#.#.######
#..###..###.##..####..#####.#..##...###......#####..##.#...##......##.##.#.#.#..#..####.##..#.##.#.#.......#.#....##.##..##.##.#.##.##.##...#.#..##.##.####.###...###.###..##.##.##............#.##...##.#.#.##..##....#.#.##.##.##...####.##.####....###.#..#####..#..#.#######.#.#.##....#.#.###...##...###..#.##.###..#.####.##.##.#.##..###.##...##.##.#.....##.#.###.#.##..###..#.#..###.#....########.##...########....##..#.##.##..##.#.#####....##.#.######.....##.#.#####.#.##...##..###.####.######.###.##..##.#.##...##.#####.##.##...#.###...#.#.#.#.#..#.###.#.##..######.##..##...#####....###.##...##...##....###.##########.#...##..#.#.###...#.#.....##.####..#.#####.#........######.##.#..##.###...#..#.#
##...##.##...##.#..##.#...####.#..#...########...##....###..####.####.##.#.#.##.#.##....###..........###.#######.##..##.##..##...##.#...###...##..#.##.#.#...####.#.#.#.##.##.#...#####.##.###...####..#.#.#..##..####.#.#..#.#..####..###.#...#.###.##...##..##.##.##....##.....#......####.#.##..######.#.##...#..#.#.#####.#.##.#..#.##.##.#..#.###...#.#.#####..#..##......##...##.#.###..#.####..###.#..##.###..###..##..##.#.##.##.##....#...##.####.#.##.#.#.######....#.#.....###..##.#.#...##.##.#....######..#.#....###........##..##.##..##.###...######....##.#.###.#.###..###..###.#.#####.###...#.#####.##..####.#.####..#..###.###..##.#...##.##...###.##..#.#.##.##.#####.##.##...##.###..####..#.#.###.##.#
###.##..##.###..#.###.###.##.#.#####.##.##..###.######.#.#.##....##...##.#.#.##....##.#.#...########..####.##.##.##.##..###..#.#..#.#.###.##.##..##..#.#.###.#.##.....#.#..#....####..####.#####.#..##.#.#.#.##..##.##.#.#.##.#.##.##.##.....###.#.#..##.####.##..#..##.########.#.######..#.#..##.##.##.....###...##.....#.#.#......##....##.##...####.##.#.....##...####.########.......#..##.##.##..#....##....##...#####.###.#.##.....####.#.####..##.....#.#.#.#.#.#..####.#.###..##.##..#.#.###..#..#.####.#..####...####...##########....##.##..#.###..##....#####....#....#.##..##.##......#.##.....#.#.#..##.##.##.#.........##.####...##....##.###.##.###.#####......#.##...#.####..#.###....####..##.....#.#....#
#...###.#...###.#.#.#.##.....#####.#..#.#..##...#.#........##.##..##.##..#....#.##########.####.#.#..##.#..##........##..#..#####.#.#.##...#..##..##...#.#.#.#..#####...#.##.#####.##.##.###.#...##........#.#..##...#..........#..##..#####..#....#.##..##.#.###...##...##......#.##.....##.#.##...#.###.########.#..#####.#...########.###..#..###.##.##...###.##.#.#.##.###.#.#####.####.##...#..##...#.##..#####.###.#....#..#..#.#####.##.#.#..#.###.###.#...#.#.#.#.####......####..###.#...#.##.#.##.##.#.#.###.##.###.###...#.##.###.####...#.##..##.######..##...####.####..#.###..##.#####....#######...###.##.#....#######....##.##.##..##.#....#.##.#.#..#.#..####.#..#.###....#.##.###.####.###.#..#####.#.####
#.#..##...#.#..........#.###..##.#.#.##.##..##.##...#.##.#######.###..##.####.#..##.##.#.#.#......#.##..#.####.###.#####...###..#.#.#.##.###.####.##.###...#.#.##...###.#.##..##.......#..##.###.#####.###.....##..#...###.##.#.#.##..##.####.#.####..##.##...#.##.##..#########......#####.....##.##......#.#..#..#.##.....#.#.#..#.###.####.##.##..##..#.###.####.###.#......#.#.....##.#.#..###.##..######.###.#...##.####.##.#.##.#.###.##.....##.#....######.#...#.#.##.##.######.##.#.#.#.###.##.#..#..#.....##.......#.....#.#.##..#.......#...###..#...##...##..###.##......##...#.##...##.##.###.##.##.###....#.#.#####.#.#######...#.##.##..###.##....#.##.#.##.##.####.......####..###.#...##..##.##..........#.#
####..##.######.##########.##.#.........###.##..#.#.###.....###..##..##...###...##...#...####.#.#....#.##.#.####...#.#.###...##...#.#.##..##..#......#.###.#.#..##.##.#.#.##.######.##.#.###.#....#..########.########.#.########.###..#.#.##.#.###..##...###.#.#...##..#.##.#...######...####.##..####.#.##.##.##....##.######...##..#..#.#..##....####........##...##.#.######.#####.#....#.###..##.####.....#....####.#.#..#.....#.#.#......######.#.####.##.....###.#.##.##.#..##.....#.#............##.##.########.#####.#######..##...###.#.#.#..##.##.######..##.#.#.##.########.##..##.###.........#.#....##.#.........#.#.#.#.#.###.......####.#.##.####.#...........#.#.###############.#.#####.......###.##.#...#
##.#.###.#.##.#..#.##.#.#.....###.##.##.#.#....#########.####.##.###..##.##.##.#####.###...#########.#.##....##..#...#.#.#.######...#..##..##.###.####.......#.###.#.......#.####.####.#.#.#.####.##.##........##.#....#..##.#.#..#.##.#...#......##.##.#####.#.###.##.##.#..###....#.##.####...##..#.###.##.##..#.##..#....####.####.#.##.##.#..#####...#.#######.###........##.##....#.####.#.#.##..#..###.###.#####.#.#.##.##.####.#...###.##.##.#.#.#.##..####.##.#......##...##..#####.##.#########....##.##..#.#............###.##..#######.#######..#.#.##.##.##.#...........##..#..###.#.#.#.#.##.##...##..#.####.####.......#.#.##..#######.#....#...#.#.##.####.#####.........#..####........###.##############.##
#..#.#.#...#..##.#.#....#####.##..####....##.#.#.#.##.#...##..##.#.##.##.#..##..#.#..#...###.#.#.....#..##.#########.....#.#.##.###.#.##..##..##.....##.##.#.#.##..##.##.###..##...##..#.#...#.#..##.#..#####.##..####...###...##.#.#..###.#####.###.##..##...#.##..##.##.#.##...##.#.#..##.##.##..##.##..#...##.#..####.####.##.#.##....#.#....##.#.##.####.###.#.#.##.#####.##..####.....##.....###.#.##....##.#.#.#.#.#.#...#.###..##.####.#...#..........##....##...#########..##....##.#....##....#.####..##.##...#.#.##.#####......####.######.#..#.##.#.#.....#....#.#.#.#######.##.##....#.#.#..###..#####....###....###.#####.#.###..#.###..####...###...##..#.#.......####.####.##..###.#.####.#..#.##..##..#.####
##...#...###.##....#.####......####.###.#..#.###.#.#....#.###......##.##.##.##.##.##.#.#.##......###...##.....##########.#.#.##..#..#..##..##.##.###########....##..####.#.##..###..##...###.....##..######....##.##.#.###.#.####.#.##..##.##.....#..##.#####.#.###....##.#..###..###.##.##..#.##.##..#..##.###..#.##.....##..##....##.###.###.###...#...##....#......#....#####.###.###.####.#####......##.###..#.#.#.#.#.###.#.#.##....##.###.###.##############..###..#.##..##.##..#.###...####..#######...##...###.########.#.#.####....#....##..##.#.##.#.#####...########.####.#..##.##.#########..###.#.#.#.##...####..####...#.#.#.#.##...##..##..###.###.#..##.#######....#...#...#.###..####...##.#..##.###...####
####.##.##....####....#######.##.##...####.#.##..#.###.####.######.#..##.#..##.#..##.###..#.##.###...#..#.##.##..#.####..#....##.##...###.##...#....#..##.####.####.##......#.##.#.##..#.#.###.#..##.#.#..###.##..##.....#.#.###..#..##.....####.##.##...#.##.#.#.#.##.#....##.##..##.##..##.#.#..###.##.#....##....##.#####.##..#.##..###.....#.#.###.####.####.######.####.##....#.##...#.#..#######.####...##.#.#.#.#.#.##..#.#.###.#..#.##....#.#.##..##.##.##.##...##.##.##.....####.###.##.##.###.#.###....#.##....##.##.........##.#.#.#.##..##..#.#......##..###.....####..#.##.#...#....##.####..#....#.####.#########..###.#.#......#.#####.#..####..##.#.##...###..#.######...###...##..#.###..#.#.##...##.#...##
#.....#.###.####.##.###.##.#......#.#.........##.#..##.#.#..###.##.##..#.##..#...##..##..#######...#.##.#..#####......##.#.####.....###...##.###.####.##...###.##....#####.##......##.####.###.##.##.#.##.##...##....#####.#...##.#.##..###....#.##..##.##.##.#.#.####.##.###..###.##.##.##..#.##.#.#....###.####.####..##......######.#.#.###.#.#.#.........###.....##.#..#.#####.#.#..#...#.##..##...##.#.###....#.#.#.#.###.#.#..##.####.###.###......##...#.#..####....##....###.##...#.#.##.#........#.#.########.###...#.##############.####.####.#...########.....###..##..##.##...###.#####..#...##.####.##.###.....##..##.......##.#.....#.#.##.#..#.##.....#.###...##...#.######.#.#..##.#.#.##.#.#.#..###..###..#
#####....##..##..##.....##.#####.#####.##.###....#.##....##.#.........##....##.###..####..###.##.#####....###..#.####.#..#..#.#####.#.#.###...##...##..#.#......###.###.#..##.#######..##....###.....#.##.#..#..##.###.##..#.###..#.#####.####.#..##.#..##.#..#.#.##.#.##.#.##..#..#......##......#.##.###....#.#.##.#.#####.#.##.#..#...###.........####.##.....######.#.##.#..##.#...######....#####.##.#...####.#.#.#.#...#.....##...##..#.#.#.#.#########.....##.#..########.######.#...#.#....########.#....##.#..#.#.###....####.######..##....##...###..#..##.#.###.####..##...#.#.......#.##.###..#.###.........######.##..#.##.########.##...#....##.###.####...#.######......###.#.####..#.#.##.#.#...#####.####.#
#..#####.###..##.##.#####...###..#.#...#..######......####..########.####.#......##.#.##.##.#..####.###.#...##.###....##.#.##.#.##......#####..#.#####.#######.##.#.##....###.###.##..###.#####..###.#.##.####.##...##..##.#.#.##....#.#..###....###.##..#.##.....##.#.#.....##.##...############...#..#.##.###........#.#.#.###..##...###...#.##.####..###########.#.#.#..#...##..#.###.#..#.####......#...#####......#.#.#.###.####.###..##...#.#.......####.####..##...#.#..#.#.##.#####.#...##.###........#####.##.........#.##.....#.#.#.###.####..#...##...##..#####..#.##.###.####.#######.##.#.#.##...#.#######.###.#.....####......####.##.#.##.###..#.#......#......##########.#....#.##............####..#...####
##.#...#..##.###.#...#..##.##...##.########.#....#.##...##.##....##..##.####.######...##....##.##.#...#.###.#..##..##......##...#####.###..##.##.#.##...##.##........###.##...#.#..##.#.#.##.#..##........#.#...###.#..###......##.#.#.##.#.####.#.#..#.##.###.####..#...###.#...##.##.##.#.#..####.##.#.#....##.#######.#.#..##.#####...#######.....##..##...##.#....#...##.#####.#...#.##....########...###.#.#####.##.###..##..#.#.#...###.#.#...###.###.....#.##.##.#.#.##.#.#..#..#.#....#.####...##.##.##.##...##.##########..#####.#.#.#.#...######.##..#..##.###.##.#.##..#...##...#.##.#.##........#.....###.###.....##.##.###.#####..######.....##.##.#.######.##.#.......##.#...####....#.#.#.#.#.###.##...#.#.##
##.###.#.##...#..#.#.#.##...###.##.#..#.......#.######.##..#####..##..#.###...###.###....#####.#..###....#####..##.#..####..##.##.#....##.##..#.....###.##..####.###.##..####.....##.......#.##.##.#####.##...#.#...#.##.##.########.#.#..#.#........##..#.#......##...###.####.###.......#.##.#....##...####.#....#.##......##...##...####.#.###.######..#.###..#.####.###...####...###..##.###.#.#..###..#..#..##.#.##...##.#..##.#.#.###.###.#.###.###.#.#.#.#.##..#.###.#..#.##.#.##.##.#####.##.#########..##.####.#......##..#####........#.###.##....##.####............##.#.###..#.#.#.....###.###.####.#.....##..#.######..#.###.##..###.#...###.##..#.#...##################.##.########.#.#.#.#.#..#...##.####..#
#......#.##.#.#.##.###..##.##.#.##.##.##.###.#####..##..##..#....##..##...##.##.#.#.##.####.#..#.##.###.##.#.#.########....##..##.##.#.##..##.#.###.#......##..#.#.#..##..###.##########.###..####.#......#####.###...##.#...####.#..#.##.#.####.#######...##.###.###.##....##...#..#######..#.####..###.##.#...####.###.##.##..####.#..##..#..#...#..##.##..###..........###..##..####..##..#.#.....#####.#.##.##....##.####.#.##....#.##..##.........##.#####.#.###....##.##...##.........##.##.....#.###..##.##.##.#.#.########.....##.#######..#..#####.....#.##.###.#.######.#...##.###...#####.#.#####.######.#....##.....##.##..##..##.#...#######..##.....#.....##.###.##..##..##.##..#.##.###.#.####...#.....####.#
######....###........##.#..#....#..##.######.#.#.##.###..##.####.#..#####.##.##.#.#..#..##..##......#.#.##.#....#.#..#####.###.##..#.#..#.##..#..#########.###.###.##.##.##.#...#..###....##.##..########..#.#...####......###..#.##.#.##.#.#....###.####.######...##.#..####..#...##.##.###.#.##...##......#.###.##..#...####.###.####..##.##.##.##.###.##.##...#.#.######...####.#....####.#...######.##.#.##..###.###..##.....#.#.##..##..####.#######..##...#.#...####...###.##.#######.......#.#.#...#.###.##...........###...#####.....##.##.#.##.#...#####.#...######.##.#.#.####..##.###...#.#.#.###.....####.##..#.######..#.##..##..#.###..##...##..#.#########...#.....###.##...##.#.#....#########.###.##...##.#
#......##..#..########..##.####.#.##....#..###.#.#...#..##.....#.#.##..##.#...#.#.##.#.##..#####.##..........####...##.#........##.####.#..##.#.##.#.#..##.#....#..#...#.##...###.##...#.##...##.##.##....##.###..###.###.#####.#....#........#.##.#..##..##.#.##.##....###...####.#..##..##.#..###.#######....#..##.##.####........##..###..#.##.#....#.......#.###.#.##.###..##....####.#....#####.#..#....#..##.#.#.#.######.####....####.......##.#.##..###.#...#.#..##.##.#.#......#####.#########.###.##...#.######.#.##.###..#.#..#.####.##.#....###...#.#.#.###.#.##.#..#.#..#...##..###.#...#.#.#.#.###..###########.#..#.##.###..##.#..##.#####....#####.##...#.###.#####....##.###.#.#.#####.##.#.####...######.#
#.##.#####.##...####.##..#..##..#..####.##.##....###.##.######.#....##......###.#.##.#.###.#######..##.###.###..###.#..#.#.###.###..#.#...###........#.##..####.##.##.##..###..##.####.#####.##..##..##.#....#.##.#....#####.#..#.##...###.####.##.##.#..##..#....##.####.##.##....##....##....##.#.#.###.##.###.###..#..##..#.########.#.##......#.####.#############.#....##.###.###.##.##.####..#.##...#.##.###.#...#..##..#..##..##...##.#.#.#.#....##.##.....#####.##..##.#.#.######.#####..#.#.##..##..##.##....########..##.##...####..#.#....#####..###.#.#..##.#..#.#.##.##...####.##.#####.......#...##....##.###.....##.##..#..###.#.##..##....#.##.#......###.#.#.###...#.##..##.........#...#...##.########.#.#
#######.......###.....##.#.##..##.#####.#...###.##....#..#..#....##..####.#####......#..##..##..######.##..##..##...##.#####.....##...#.####..########..##..##.....##..##.#.#.##..#....##....###..#.######.#.#.#..####.#.#.#.##.#####.######.#...#.#..#.####.####.#........#######.#..########.#....#.........#..#.#.##.###.####....##..#..##.###.#..........##.#..##..#.##.#......#.#.#.....###..##.##.###..#.##....###.####...###.########.########.#.#...#####.##.#...##..................###.....##.##..##...##.###.##.#.##.#...#.#######.#.#.####.#.##.#.#.#...###...##...##.##.#####..#...#.##.###.#...#####.#......###.###...#.##.###....##.####.###....##.######....#...#.#######..#.#########.###.#.#...####..#.#.#
##.#..#######.#.#####.##.#..##..#.##..#...#.....#####.##.##.####.#..##.....#..##.###.#.####..##.#.##....##..##..##.##...#.####.######...#..##.#....#.#.##..#######.#..##.......##...########.#.##....#.#.###.#.#.##........#.##.##..###..##..###.#.##.#.#.#...#.#...######.#...#.#.##.#..#.#...####.#######.###.##.#.##...#.#.##.#.####.#.######....#####.####....####....#####.##.......#####.##.#...#.####....##.####...#####..#...#.###.#.##.#.#.#.#####..#.##.##.###.##.#####.###.####.###.#.######..#.###.#.#....#..#.#.##...#.#....#.##.#.#.##.#.#.##...#.#.###...######..#..#..##.#.##.###.#....#####..#..##########.....###.#..#...#.##.....#.####..##..#..#.##..##...#....#.##...##.##..##.##.#.#.#####......##...#
#..##..#.#.......##......##.###....##...#.#####.#.##...#.##.#.#####..####.##.#####.....#.##.###.#..#.######.##.##...###..........#.####.#.###.#.####.#..##..#.#..#.##..##.#.#.##..#.....##...#..##.#.....##..#.#..###.######.....##..##.###.##.....##.#.#.###.#.##.##....#.###.#.#.#..#.##.###.#.....###.#...##.##...##.###.#..#.######.#..##..###.##..#####...##.#....##..##.####.#.#####..##..#.##.####....####...#.###..#..##.#.###.#.#...##.#.#.#..##.#.##.#..##.##...#...##....####.#####.#.#.##.#.##.#.#.####.###.##.#.##.#####.#.##.##...#.#..#....##.##.#...##.##.##.#.##.##.###.#.##.......#####.###...###....##.#.#####...#.##.######.#####.##.##..####.##....###.########.#..####.###..#..#.#....#.##.#######.###
##.###.....###.#..##.###.#...##.###########.#........#..........#...###.#..#...#####.###.#..#...#.#####......#..##.##.###.#####.##.#....#.##......##.##.###.#.##.#..##.######..#.##.########.#.#########..##.....##.#.#..#.#.#######....##...###.###.......##...##....#.####.#.....##.#....##..####.##.#.##.###.##.#.##..##.#.##..#.##..#.####.##...##....#..#######.#######...#.#.#####.##..#.##.#...######..#.##.##.#.##.#.###.#...#.#.##.###.#.#.##.#....##.#.##...###...#..####.##.#..#.........#.#.##.#....#.#..........##...##..###...###.#.#.##.####.......###..#..##....#.##.#.#......########.#..#.##.###..#.##..#..##.###........##.#...#.#.#...#.####..##.####.####.####..#.####...##.##.##...##...##.#.##.#...##
#....###########.#####.#.##.###.#.#.##...#..#.#.####.#.########.###...#.#.##.###.#...#.#.##.##.##..##...####.##.##..#.#.###.###..#.####.#..###.#####.##.#.#.#.#..#.##..#..##..##.##..#..##...#..#.##.#...##..#.#..#.#.#.##.#..###..####..###.#.#...#.#.#.######....######.#..#####.##...#.##..##.#...#.#.##.#.#.##.####.##.....#.##.###.#..##...#.#..#.####.##.#.##......#####.#.....#.#..##...##...###...##.##.#.....#.##.#.#.#...#.#.#.#..#.#..........#.##.....##.##.#.######.####..#.##.#######.#...##.#.####.#.###.#######.#####..#..#.#.....#.#...#.##.####...##...####.###.##...#.##.#....###...##....###.#.######.#.##....###.#######.##.##.#.#.#...##.##..#.#.##..#......##....#.###..#..#....#..######.#..#.###..#
##.#....##.......#.##....##..#....#..###.##.#.####...###.#.......##.#.....##..##.###.#.#..#.##.##.##..#.#........##.#...##..#.#.##.###....##...#.##..##.....#.##.#..##.#.##..###..#.##.#####.#.##.#..###.###.#.##.#........#.##.#.##.#..##...#.##.####.####.....##....##..##.##.#..#..#######.#..###.#.#.##...#.##..##..##.##.##.#...##...#####.#.##...###..#.....##.#####.#.#.###.###.#.##..#..##.##.##.##..##...#####..#.#.#.##.####...##.#.#.##.#.#.#########.##.........##...#.###....#..#.##.####.##..#....#.....#...###.........##.########.#...###.##.#..#.######..##....#..##.##.#########...###..##..#....#.#.##......#.###......#.#..#..#.#.#####.##..##......#.##.#######.####..##.##.##.####.##..#.#...##.#...##
#####.##########....####.###.##.###.##.#..#.####.###.###.#######..######.###.##...##.#.##.#.#...#..###########.###..###.###.#....#.#.##.#..###...##.###.###.#.#..#.##....##.###..####...#.........##.#.#.#.#.#.#..#.##.#.#....#.#.##.##..###.#.#...##...#.#####.#..####..##..##.##.##.##.#.#..##.....#.#..#.#......####..#.#####.#.###..###.#.....####...#.##.##.##...###..#.#.##..##..#.#..#####......#..##.####..#.##.##.#.#......##.###.......#.#.###.##.##.#.###.##.###.##.###..##.####.##.....##...##.#.####.######.##.###.####.##...##.#.#....####..#....####.#.#..##..#.##.##..##.#.#.##..#.###.##..####.####.#.#..#########..#.##...##.##.#.#..##...##.##..#.#.##......###....#.#.###..........#..##.....#.##.##.###
#.#.#...##.##....##...##..#..#...##.##.##.#.##...#.###.......####.##...#.#.#.###.##....##.....###.##.##.....#..#.#.##.#.#.#.###.##.#....######.###....#.#.....##....####.##.##..#######.####.##.#.##.....#.######....##########...##..##...#.#.##.#####....#..####...###..##..#.#......#.#.#.#######...#.####.####..##..##..###..#.####.###.#.##.##.####......######.##.##.#.#..##.#..##.#.##.#...####...##...####...##..#.....##.####..##.###.###.#.##..##.#..#..##..#.#####...###.....#.#....#####..###.....#.#.####.####..##...####..#.#..#.###.###.##...##..###.#.#.##..#####..##.#......##.##.###.##.###.#..###.....##..##.##..##..#####.....#.#.####.##.....####....######.##.###.#...#.##.##.#######..#.######.#....#
#.....####.##########..##.##.##.##..##.#....####.#..###.###.##.#...###.#.#.#..#..##.########.##.#.##..#####.##.#...##.....#.##..##.####..#.#.......########.#######..##......##.#.#..##.#.#######..#####...##..####.###..###....####.#####.#...##.##....####.###.#.#.#.#.####.#.#.###.##.#...##.#.####.#..##....##.##..###.##.##.....##...#.####......##.######.##.#.#..##...##......##..#.##.#.######.#####.##.###.####.##.########.#.##....#...#####..##..##...###.####...##.##.#.###.....#.###.##.#####.####.........##..###.###.#..#####.......#.#.##.#######.#.....#..####.#.##..#.######.......#..#.......##.#.#######....##.#######.###.##.#...##.#....#.###.##.#####...#..#.##..#.###.####....#.##..#####.##....#.##
###.#..##...##..#...##..#.##.##..#.###.#.####....#.##.###....#.###..##.#.#...##.###...##.##...#.#.##.##.##..#....########.#....###.#.###.#.##.###.##..###...##.##.#.#####.####..#...###.#.#.##.###.###...####.##....##..##...##.#....#.###.###.#...####.#.#..##....###.#...##.#.###....#.#.###..#.#......##..#########...#.#...###.####.###..##..##########.#.#.##.....##..#..####.#####.#.##........#.##.##.##.#.#..##..##...##.#.#.#..#.#####.###..##..##..##.##.....##.####.##.....##.##.#.........#.#.......######.####..#...##.#.##.#########...........###..###.###.##.#..#..##.#.##.#.#.####.##.##.#.#.####.....##.#..####..#..##.#.#.###....###..#.####......###...#.###.##.##.##......####.###.###.#.##...##.######
#...##..#.#####.##.####...##.###.#.##....#.#####.#..#.######.#.#.##.#....#.####.##..###..####.#.#.##.#..###...#####.##.#..###.##...........##.#####..##.###.##.#....#.##.....##.#.###...#...##.#.....###.#.#..#####..##.#..#.####.##.............#..##......######..#..#.###.....#####.#.....##.#...##.#####.#.#.##.#..###...###.#.##.#..#..####...####.#.......##.#########.##.##.#.##..#.#..#.###.#####.......#.#.###.###.#.#....#.##.#.##..#.#.#.##..##..##...##.####...#.#.#..##.##################.#.#.###....###.#..##...###....##..##..##.#.######.####.#.##.#..##.#..##.##.#..#..#.#.....#####....#####..##.####..#.##.#..##.###.#.#..##.##.####...#######.#..##.###..##.##.....##.#####.####.........##.####.#.##.#
#.#####...#.##......#.###....#......###.##..##.....##.#...........#.####...##...#..##.##..###.....##.#.##.###.#.#.#.#....###...##########.##....##..###..##.##...##....#.###.#..#...#.###.####.###.#####.....##...##....#.####.###########.#.#####.####.#####.##.##...##.#.#####..#.##...##.##..##.##...##.......##.##...##.###.......##.#.##.##.###..#...##.#.##...##.#.##..#.....#..##.....##...###.#.###.#.#.....#.#.##..####.###.#.....#.####...###..#.####.##...###.###.#.##..###.##..#.#.#.#..##....#...######.###.##..#####.######..##...........#...##....#.#.###...##.......##.##.#.#.#...##..#.###.##.###..#.##......##..#..#......##...#.#.#..###...########......###.#..######.........##.##########.###..#.##.#
####.####.#.##.##.#.......##...######.#..##.######..#.###########.#.#.####..###.#.###.###.#.#####.##.#.#..##......#.####.##..####...###....#.#####.##.##.#..##.#######...#.####.#.###..##.##....#..#.#.#####.####....####.#.##..##..##..##########.##.#....##.#..##.###..#.##.###.#.#..########.#######..##.#######....####...#.########.#.#.........##.########..#.#.....##.#####.#.##..###########..#...#########.#....##..#....##...##.##.#.##.###.##...#.##....###.#..##.#..#.##...#..##.#.....###.#.####.##...#.##..#..####.#..###.#.####.##.#.############.##.#.#.###....#.#.#.........#######..####.#.##.#.#.##..##.#####..##.##.#########.###...####.###.##.#.####.###.#.##.#.##...##.######...###..###..#.##......#
#....#.#.....#################.##..##...##...#.#.#.##.#.#.#.#.......#.#.#..##...#.##..#...#.##....##.#.##..##.###.#.#.##.###.##.###.#.##.#....##.#..#.#..##.######...#.###..##..#..##.##...####.##.#.#.##.##..##..#.##.##....#.####..##.#.#.#.........#.#####.##.#....##.#.##..##...##..#..#.#..#.##..##..#...###.####..##..###.#...##...#.#.#.#######.....##.#..####.#####..###...#..##...###...##..##.####.#..##..##.#..##...##.##.#..#.##..........###.##..###.##.#.##.##...##.###.##.###.#.######..#...#####.###..##.#.###.#...##.#.#..#.#.#..#..#..##..#.##..#.#.#..#..#.######.##.####..#.##.#.##.##...##.#.#..##..#....###..#......####.....####..#.#.#....#....##......#.#.....###.####....##.##...##.##.#.###.#####
####.#.##.#####...##.#.#........##..###..##.##.#.#.##.#.....#.#####.#...##.####....##.#.#....##.#..#.#.###.#####......##.#.#.##.#...#.#####.####...##.#.###..##..###.#.#...####...##...##.##....#..#.#.##.#..####.#..#.#..####..#.##.#......####.#.##.#..#.#...#.#.##.##......##..#####...##.##.#..##.##.##.###.#.#.###..##.##..#.######.#.#.###...#.#.#####....##.##.#.#.##.#.###.#.###.###.#.###..##..##.#.#.####.#####..#.###..##.########.#########...###.###..#...##.##.###...##..#.#.#....##.#..##.###.#.#...#.###.......#.#.##...#.##.#.##.##.#.####....##.#.#.##.#.##..##.#####...#####..#.#.#.....####.#.#.###.##.####.##...####.#..#####..#.#.##.#...####.#####.####.#.#.#####.#.#.#..##.#..#..###..#....#.#.##.##
#.#..#.##.#.#.##.##..#.########..##.#...##..##.....##.#####...#..##.#.###...##..####..####.#######.#.#...#..##.###.##.........#.###.#..........###.##.....#.####.#.....#.###....######.##..#.##...##.#.#..##..######.#.#.##..#.##.#..##.###.#.#######.#.##.###.#.#.########.#..##...##..####..#.##.##...........#.#.#.##..#.##.##.#..##.......###.##.........#####..#.#.#....#.##......#.#.#.#...##.##.##.......#.#.#.#.#.##...####..###.#.#........#####..##.#.##.#.###.........####.##.#.##.####.#.#######.#.#.###.#.##.######.####.###..#.###...#.#....###.##..#.#.##....####...##...#...#.##.......#####.#....#..#...#..#.#..###...####.##.#.##.#.#..#.#.####.#.##.....#####.#.....#.#.#...###.##.#.##.##.#.####.......#
#.##.#.#....#.#...##.#..###..###.#..###..##..####.###.#..###.###..#.#.#.##.###.##..##..##...##.#...#.###.##.##..###########.###..##.########.###.#..###.###..##..#####.....####....###..#.#######.##.#.#.####..#.#...#.#..#.##.##.##..###......##.##....##.#.#.#.....##.#.####..###..##.##.##.#.##.###.#.######.#.#...##.##.........#####.###..#.....##########..##.#.#.##.###.###.#####.#.....###..##..#######...#.#.#.#.##.###..##...#.#...#.######.##..##..#.##.#.#.##.######............#....#.....###.#...#.##....##..#.#....##...##.##.##..#####.####...###.#.#.#..##.##.#.#####.###.##.##.###.####..#.##.###.##.###.##.##.#.#.###.##.#..#.#......##.#.###..#....###.#.##..#.##.##.....###.####................#.#####
#.#....##.###.##.##....##.##.....##.#.##.#..##.##.##..##.#.###.##.#.....##.##...#.##..##..####.###...##..##.##.##.##.....##.#.#.##...###......##.#.###....#.##..##.##..#.###.#..####.##.#.#.#.#...........#.#.##.#.#.#...##..#.#...#.#########.##..####......#.#.######....#...##.#.###....##...##.#.#.######.###.##.##..#..##.###.##.###..##.##.#####.#.##.#.#.###.#.#.##..##.#.#.#.#.....##.##.##.#..###.##.###.#.#.#.#.#....#.##..###.#.###....###.###.###.#.##...#.##.....##.###.####.#...##...#####.#...###..##.#####.#...#####.####..#....##..#...##..#.#.#.#.....#####.......##...####.##.#.####.##.#.##..##............#.#.#.#.#.##...##.#.##.####...#.##...####.###..##...#####.######...##..#.##.#.##.#.#.##....##
#.####....#.#.#...####..#..##.##...........##..##..##.##.#.##..##.#.#####..#..###.###..##.##.#.#.##.####.#......#..###.#......#.###.##.##.###.##.....###.##..##.##..####...#.##.#.##..#.#.....###.##.##.#......#.###.###..#.##.##.##.##.##.#.#..##.#..###.#.##.#.##...####...#..#.#...####..###..#.#.#.###..#.##..##.##.##.###..#####...#.###.#....###.#.##.#.#..#..#.#.#..###.#.......###..####.##.#.##.#..#.#.............####.###...#.####..####.#.#.#..##.#.##.#.#.#..#####....#....#.##.#####.##.##...#.####.##...##....#.#.#.#....##.#.####..##.#.###.###...#.#####...###.###########.#.##.#..#.#..#.#.#..###.##########.#.#.#.....##.####.#.#####.##.##.#..#...##..#..##..#...#.#........####.#################.##..#
#..######...#.#.#..#.##.#.###..##.###.#.##..##.##.##..#..#.###.#......#.##.##.##....##.#..##..........#..######...##.########...#.#.##.##.#....###.###.#..##....##.##.#..###.#.....##...#.#####.#########.##.#.#.##..#.#.##..#.##.##.##.#..#.#.###.#.######.##....##.##.###.###.#.#.###..##.#.##.#.....#.##.#.##.##...#.##...#.##.#.###...#.###.####.#.#.##.....##.##.....##.....##.#.##.#####.#.#..#.#....##.#.#.###.##.#.##.##.#.#.###..##..##..#.#.....###.#.##.###.#.#############.##.##.....#.......#####.......######.####.#.#.#.###.#.#..#.###.###.#...###.#.#.####.##....##.#...##..#..#.#.##...##.#.#.##............###.#.#.#####...#.#....##...........###.###.##.##..####.....####.#.........#.#.#.##...##..###.#
##...######...####..........#######.#######.....#.###.##.....#...##.#.#.##.#...#.#####.#.#####.####.#...##.###..####.##.#...#.###...##.#####.#.#...##....######.....#.##...#.##.#######.#..##.#..#.##.######.###..##...#..##.#.#...#.##.##.........#.##.##..##.##.##.##..#####......#.##......##.#####....#....#.##.#......#####..#.#.###.#.##...#.#.#.#.###.####..##.##.#######..#####..###.#.....##.####..#.######...###..#............###.##..##.#####.##....##..#..#......#.###.#######..##.##########.#####.#.###.#.##.#.##.#.#.####..#.#.##.#.#..##.#.###.......#.##.###.###..#.#####.#.##.#....#..#.#.#.#..##.##.#.####...........###.#.##.####.##.##.###.######......##.#..##.##...####.#.#.###.#.#.#....#..##..####
####.#......####.#######.####..####.##......###....##.####.#.########.#.##...###..#.#....#.#.##########.#..#.##..##..##.###.#.#.###.##..##.###...#.##.####..######.##..#.#.#..#.#.##....##.##.##......#..##...##.#####.##.#....##.##.##..#########.#.....##.#..####...#.##.#.######....####.###..#.#.#.##...####.#####.##.###.##.##.#.#.#....##.##........#....###.#...###.##.#..#######.#...####.###..##..##.##.#.##.#######.###.###.##.##..##.##..#.#.#.#####.##.##.##.####.............#.###..###.....#.#.#.#.###...#.#............#.##.#.#.##...#.##..#.#.#######....#.#.#...##....#.#.........#.#####.#.#...########.##.####.########.#.#.....##...#..#...#..#.#.#.####......##..##.#....#.#.#...#.#.#.#.###########.##
##.#.##.###..##......#.#...###..#...##############....#..###.##.#.#.....####...#.##.####.....###..........##....####.##..........##.#..###..###.####.....##...##....##.###...##....####.#...#.#######.##.####.#...##......##.####....##.#####......#.#.#....##.#.#..#...##......###.##..#.#..###.#...#.######.##..###..##.#.#.#...#.#.#...#####.##.########.####.#.#.####..#....###.#.##.#.###.#......###.##..##.#............#######..#.###.......##...#..###......#.##.#..#.##.####.#.###...##.#.#.#####.#.#.#..####.#.##.###########..#.#......#....##.#.....###.#.####...#.###..####.####.######.#..##.#...#.......####...##..#....##..#.#.###....###.#######..........##.##.####.##.#.#.##.#########..........#.#.....#
#....####.##..######.#.#.###.##.###.#..##.#...#....####.###.......###.#......#.#.##.#.##.#.###.##########..####.#.##..#######.#####.##...##..#....####.######.####.###..#..###..####.#..###.#...###......#.##.#.#######.###...#.#.#####.##..######.########.##...#.###########.##.#.###.#...##.#.###.#.#.##...##.##.#.#####.#.#.###.#...#.#.##...#.#.##.##...#.#.#...#..##.####.#.#.#..#.#.#.#.####.####..##.##..###.#.#.#.##....#..######.#.#.###..###.#.##.#####.##.##...###############..#..###.#.##.##.....##..##....##....#.##...##...#.######.#.###.#.#####...#.##.#.###.####.##.#.#.#......##...###...#####.###...###.##..##.######.#.#...##.#...#.......###.#####.###..###.#######.#.####..##..####.##.#####.##.####
####..##..###.#.##...#.#.###.#......#.##..###.####.#..#.#...#.###.#...#####.####..#.#.##.####...##.##.#...###.#.#..#.##.#.#...#.##..##.#####.##.###.....#.##...##..#.##.##...##.#.#..##.#...#.###.###.##....#.#..##.###..####.......#.#.#..##.###..##.#.#.#.#..###.#....##.....#..#.#.#####.##.#.##.........###...#.#..###..#....##.#####.#..##.##.......##.##.#...###.##...#.#...#...##.#.#.#.##...##.#.##...##..##.#############.####.##.#.######.##..#.##..#.##.....#.######.....##.#.##.#####.......#..#######..####.##.####.##.#####.##......######..#.##..###.........#....##.#........#.##..#####.#.###############...##.##...#.##......#..####.####.#.#..##...##....##...........#.#...###..#.##.##.#####..#.##..###
##.#.####...#.#.####.......#.##.###.#.###.#........#.##.###.####..#.###.....#..##.#.......##..#.#.....###.#.#.#.##.#.##...#.#....#.##...##.......#####.##.#..#####.#.##....#.#....##.##.###....##.#.#######.#.#.##..#.#.##.##.#####.#.#.##.##.#.##.##.........##.#...#########.##.#.#..#.#..........####.##.##..###.##..#..##.#####.##.#..#.###..##.######..##...###....#.#.#...###.###..#.....###.###....##.##..##...#.#.##........#.#.##...###.######.#..##.#.#..###.....##.#.##.###....#####.###.###.#.###.##.##..##...#..#.#....#.##.....##.###..#.##......##...#.#.#.###.####..###.##########.....#.#.#.#.#...#.##..###.#..##.###.#..##.####.##.#.#.######.##..###..#.#####.#.#.###########.##......##.#.#.#.##..##.#.#
#.....#.###.#...#.#..###.###.#..#.........###.##.#...##..#####.##.#########.#.##....#.#.#.##.####.#.#.......#......#.#..######.#....##.#########.#.#...##.##.#.##..#..##.###.####..#.#..#.#.#####....#.#........###.....##.##.#..####.#.##.#..#.#..##.#######.##.#.###.#.#..........#.##.##########.###########..##..##...###.....#.##...##.##..##.....###.##..#...##.#####.###..##..###.##.####.....###.##..###.#..###.#.#######.#.....##.###.#.#.##.....###.#.##...#.#.#..#.#..###.#.######...##...####........##.##..###.##.#.####.#..##.#####.##.#.####.#######.###.#####....##.##......#.#.###.####.....#.#.###.###.##..#.##......##.#####.###..#.......##..##.###.####.##########.#..####..##.######..#.#.#.##.##....#
####.##..#..###...####....##.########.###.##########.##.##.##......#...###.....###.######.##.#########.##.#...###.##.##.###..#####.##....####..#.#.##.##..##.#..##.#.##....#.#....##.##...#.##..#.##.#.########..######.#..##...##.#..#.#..#.##.##.######.....##...#.#.#.####.###.###.##..###.#.#.#.....#.###...####.##.###.#.#####..###.##.#..###.#####.#.#..######...#.#..#.#.####..#.....#..##.####....##..##.##.###....##.##..#####.##..##.#....##.#.##.#......#.#.####.....####...#.##.##.##..###.##.###.#####.##.##.#......##...##.#######..##...#.#....#.#.....#####...####...##.###.#...#.####.#.#####...#.#..##.#..##.####.####..#.#....#..###.##.###..#####.######.#..#.#.#.....##..##.##....#.##...........#.####
#.#...##.##...##.###...#.###..##....####.....#####....#.##..######.##.##.###.####....#.####...#.##.#...#..##.###......#...##.##.##....#.##..##.#.#..#..##.#..##....#.#..#########.##..###.#..##.####.#.##..#....##.##.....#####..#.##.#.##.#.##.#...##..#####.##.###...#.##...#....##.##.##.#.......#####.#.##.###.............#.#..###..##.#.###..#..##.....##.##.#.###.##.#.#....##.#.##.##.##..#..#.##..##....##.#.#.#####.###..#..###..##....####..#..#.#.###########.#.#.###..##.##.#..##.#..###..##..####.............#########.##...#.##..#####.#.#.####.##.##..##.###.##.##.##..#.###.###..#.#.#.##..#.###.#.##..##.#...##.....##.#...####.##.#.######.##.##...#.#.#...##.#...##.##..##..#..####....#.##.####......#
#.##.##..###.##....#####.#.##..##.#..#.##.##..##.####....##.##................##..####.#.####...##.##.######.#...#.#.##.###..#...#.########.#....#.##.###.##..###.##.##..#.##.#.#.###.#.#...##...##....###...##..#..##.##.#.##..##..#.#.##.#.##.###..##..####.#...##.###..#######.###....##.##.#.##.##.##.#.#....####.##########.##.#.#.##....#.##...###.######.##...##.....#...#####.#..####..##.#.#####.###.#.###.......#.#.....##.###..###.##.##.#####...#.........#...###.####.#.......###...##.##.##.##..#####.####.#.##..##.#......#....##.##....#.#..#.#.##..#####..##.##.#...##....##..##.##.#.#..##...#.#....##.##.##.##..######...###.#...#.###.##.###..####...#.#.#..#...###...#.####...###...#.#####....##.#####
#....###...#..###.##..##......######.#.#..###.#..##.###.###..#.######.#######..##.###..#..#.#.###..#####.#.#########.#....##.###.....#.#.##.####....#.#.#.##.##.#....##.##.##...........###.##.######.##...#..##.#.#####....##.##..##.#.##.#.##..#..##..##..#...####.##..##.##.#....##.####.####.#...#.##.#.###.##.#......#..##..##...#....####.##.####..#..#.#..##.#######.###.#.##....####..##..#..###...#..####..##.####.#.#####......##.#.####...##.##.##.#########.#######.##.#.#####.#...#..#.##..#.##.###.##..#########..#.#.####.##.#.....####...#.##.#.##.##...##.##.##.###....##.##.##..#......###.###...####..#......##.#.##...#..##...###..#..##..#..##.#..#.....#.##.#######....#.##.##.#.#####.#.#########.#.#
##.#..####.#.##.#..##....####..#.#.......##.####.#..##..#.#.#####.#...##......###.#.#.##.##.#.#.##..##...#..#...####.#.#####...##.####.#..#......##.#...#.##.#..###.##......#.#.#####.#.#....#.##.###.####.#.###.#.####..##.#...##.##.#.##....##.##..#.####.#.#####..##.###..#.##.###...##....#####.##.##.#.##...#.##.#####.###.##..#...#####...#...#.##.#.##.#.##...#.#.##..#....##.#####.##..##...##.#.#...####..#######..#.#.###.#######.....####.#..#.....###.......#.#.##...#......######.####.##.##.##..#..###.#..#.##.#.##.#.##.##########.##.###.#.#..#.##..##.##.....##.#.###.######..##.#.######.#.#.#.###..##.#.#.##.........######..###.##.#.###.##.##....####.#####......#.#.#.##..#.##...#####......#.#.#....#
#####...##.#.##.#.######.#....##.###.###..#..##..##.#..##.#..##.....#.#######.#.#.#.#..#.#..#...##.#####.##.###..#.#.#.##.#..#.#..#..#.##.#.#.##.#..#.###.##.##..##..###.####.#####.###.#.##....#.#.#.#.##.###...#..##..##....###..##....####..#..##.....##.#.##..##.#....##.#.#...####....####.#.#.##.##.#..##.##.##...#.#.##...#.##.###.#.###...###.......#.#.##.#.#....##.#.#####.####..###..##.##..###.#..#.#.##..#..##............##.#.#####.#..##.##.####.#.#######....#.###.######.#.#...#.#..#.##..##...##.#...##..#.#.#.......##.##.#.#####.#...#...##..##..#..##.####..#..##.##.#.#.##...........#.#.#...#.##..#####..#####.#.##.#.##.#.#..#...........#.#.#####...##..#.####.#######.#....#.#.#.#.######.#...####
#.###.###..#.#..#..#.#.######.#..#.###.##.#.####.##...##..#.#######.###.###...........##.##...###....##.....#.##.......##...#####.#.##.##.#########....##.#..##.##..##...##.####.....#..######.##.#.#....#######...####..###.##.##..####.#####.##.###.####..#....###.#.####......#....####.#.##.#...##.##.#.###.....##.##.#.##.#####....#.#.#.#.###.#.#######...##.#####.##........#....##.....##...##..#####.#.#..##...###.#####.#.#.##.....##.#.#.##..#....#............####.....##..##.....###...##.#..##..#.#..#.###..##.#.#.#####.......#...#...###...#####....##.##.....##...##..........###.####.####.#.#.###.###..#.#..###########........#.##.###.#.#######.#.#.#.###..##.#.##.##.##.....##.#.#.........##.#.#...##
#..#...###.#.##.##.#.#..#.#...##.#.##..#..#..##...###..##.#.####.#####......###.####.###..##.######.##..###....#######..###.#.#......#.##.##.#..####.#....##.....##.####.##..#.#####.##.##.#.#.##.#.#.#####..##..#....#####...#.#..##.#..#..##.##.#...#.##.##.####......#.###.##.######......##.###.....#.#.#.##.#####..#.#.##..#.#..####.....#.............#.###...#.#...##.###.###.#########..#.###..##.......##.##.###.#.###.###########.##.......##...####.##########....#.#####..####.##...##.##..#.####.###.##...##..#.#...######.##.###.###.#######..#.##.####..#..#.#####.##..#.#.#.####.#....#..##......#.#.#.#.##...##.....#.##..###.##....#.#.#####.#..##...#.###...#####..#.....###.########.#########....#.#..#
##.#.#........#.#....##.#.###.##....##.##...####.#####..#.#..##...##...#.#.####.#.####.#.##..##.#.#..########.##.#.#.#.##.#...#####.##..#.##.##..#.###.####..#####...#.#.###.#.#.#................#.#.#.##..######.####...###.#.#.###.#.##.##..#..###.#.#..##.##.#.####.#..####...#.#.##.#####....####.##.....#......##.....###...#.##..#.#####.###.##.###.##.#.###.#.##.##....#.###.#.#.##..##.#.#.#.######.####......##........#.#.##.#....####.#######....#........########..##.#.###.#####.##...##.#..#....##..#.#####.#.#.###...####..#.#.#.#..##.#.#.##.....#.##.#.##.#.##..###.#######......########.######.#.#...###.###.#####..#.##.#####.#........##.#.##..###..#..#...##..##.#####.#..##.#.##.#.##.##.##.#####.##
#....########...#.#####.#..##..###.##...###..##..##....##...##..############....#...##.#.###..#.#.#.####................#.#.###......#.##.##..##.#.##...#.##.....#.#.#....##...#.##.#.###.#.#.###.#...#..##..##.#.....###.#.#.#.#.#.....##..##...##...#.##.##..#.####.#.#.##.###.##.#.#..##.###.###.....####.##.##.####.#####.#.#.#..#.##.........#..###.####.#...#.#.#...#.######.#.#....##....#......##.....#.##.###....#.#.####....#.###.##......##.#..####.######....#.....##..#...#..##.#..#.###..#.##.######.#..##.#.........#..######.#.#...###...#.#..#.###.##....#.#.###..#.....##...##.#####.###...###.#.#...#.#........##.##..........#.#.#.######..#..##.....##.######..##....##..#.##..#.##.#.#.........#.#####
#.##.##.#.#####...##..#.##.#..##......#####.####..#.##.####..##...##.####.#####.#.###..#..##.##.#...#..#########.##.#.#.....#.######.......#.##....###.##..##.######.###.###.#...############.##..#.#.#.####.##.#.#####.#.......#.#####.#..#####..#.#.#.##.##.##.###..#....#.#.#..#.#.##.....##...#####..##...#.####..#.#.##..###.#.##.##.##.#.########..##.#.#.###...###.#.##.###.#...#######.##.###.#######...##.############....####......####.###..##.#.#...#.#.####...###..##...###.###.##.#...#.##.......##....##....######.###.#.#.#..#.#.###.###.#.#.#####...##.#####.#...##.###.####.######.....###.#.#.#.#.######.##.####...#.#####.#.##.#.#.....###.#.##..#####...######..#.######...###..........#######....##.#
######......###.#..#.##..#.##.#######..##.#..#.##.####.#.##.####.##..#.#..........####.#.##.....#.#.#.##.#.#.....#..#.##.##....##.#..#.#.#.#..####.#....#.##....#.#......#.#####...#.#...####.###...#.#.#.#..##.......#.###.###....##...#.##.##..####.#.##.##.#..#.##.###.##.#.##.#.#..##.##.#..###.#...#####.#....##......##.##..#.##.##.####.....##.##..#.#....#..#####....#.#.#.#.####.#..#.#....###.##....###..#..#.##..###.####.####.##.###..#.##......#.###....####.########.###.#...#.##...###.##.##.#####.##....###########.###...##.#...#...#.#...#.#.##..###...#.##.###.##.#####.#...##....#####.#.#.#........#.####...###.##.....########.#.#####......##.#.....#.....##.##..#.##..#..#..#.##.#.#......##.##....#
##..#######.#.####...##.##.#..#.#.####......##.##.##.#...#...#.#.##.##.##########.#.#.......#.#####.#.#..#.###.#.#######.##.#.##..#.######.#.##.##.####.#..##.###.######...##..##.##.###..#.###.##.####.#.##..###.#####.#.###.##.######.#.##..##.#.#..#.##.##...##.#......##....#.#.#.#####..#.##...###.#.#.....#######.##.....##.#..........####.###..##...##.###.####.###.##.#.#......#.##.....####...#..#.##.##...##.##.##.#....#....####...##.#..#####.##.#.#.####.#####..##.....#.#.###.#..###....#.#####.#...#######.......#...##.###....###.###.###.#....##...##.##..#..##.#.....##.#.###..####.#.#.#.#...#.##.###.##...###.#.#..######.#..####..#.####.####....############.#..##.##.###...#########.#.#############
#..##.##.#.....#.###.##.##.##.#.....#######.##.##.#..###.###.#.#.##.#...###.##......##.########.##....##.#.#.#######.#.#..###..##.#####.#.....#.##.##.....###.......##...#####.#..##..###.#.##.....#.##.#.#..###...#.##............#.##.#.##.###...##....#..###..#.######.###.###.....#..###.#.####.......###.###..##.#.###.#####...###.#.####..###.#.##..###..##...#.#.#.#.#......#.####.#..###.#.####.####.......#............####.#####.##.###...####...##.#.....#...##.#.#####.#.#.#..##.##.###.##.#...#.#...###..##.#.#######.###......#.##.#..##.......####..###..#..##.##..#.######.#...##.##...#.#.....#.#.####...####.........##.#......##..#.##..#.#.#....##.....###.#.#..##.........#.#..##...#####..##.##.###..#
##.........#.#....##.##.......####.##.#.#....#....##..##.....#.#..#.##.##....####.###........##..####......#.##.##...#.####...##...#.#..#####...##..###.###...##########.#.##..#.###.##...#.##.###.#.##.#.##..#..###.#######.###.###.......#...###..####.#.##.#.##.##.........##..#####.##......#####.###.###...#.##..#...###.##..#.##..#....##.##.....##...##..#.###.#.....#.######......#####..#..##..#.#..##.#.##.#######.##..##..#.##.......##.###.###..#...#.###.###....#.##..#.#...###..#......#.#.###.#.###.##................##.###.####.#.#######.#...##.##.##.#.##...##.....#.#....###..####.....##.######.##.###..##.######....#.###.###.#####.##.....#######.###.#.#...##..###############.###...#.##.....#.#.##
###############.#..#.######.#.#.#..##...#.##.#.#.##..#######...##.#..#.#####..#.#.#...########..##....###.##.##.####....#.###.####...##.##..##.####.##...####......#.##..#..##.#.##...###....###.#...##.#.###...##.#..#.##.####....####.##...######.#.#....##......######.#.#..##....#...####.###.#######.#.###....##.#.#..#..#..##..#########..###.####..###..##.....#####...#..#####.####.#.##...####.#.#.############...#..######....####.##.##.##..##..##.#####.#...##.###.#####.#.###.##...##.#####.##.........###.##.############.#.####.#.#..##.##..######.##..#.#..##.####.####.##.###.##.#.##.#.#.##.....##..#.##..##..###.###.#.#.#.###...#.#.#..#####.####.#####..#.###.##.###....#..#.##.#...#.#####..#####....#
#..##.#..##.##..##......#.#.###.##..###.####.#.#####.##..#.###.#....##.#.#.##.#.#.###...###..##..##.####......#.#.##.##.#.#......#.####..##.##...##.##.###.#..#.####..##.##.##....#.###.##.####..###.#.....####.##...##....##.###.##.#######.###.#....####.####.##.#...#######....####.###.....##.#.###.....##..#####.#.##.#.##.######.#.#.#.##.#...##.#.##.##....#####.....###.##.#####....#.#..###........#...##.#...#.##############...##.####..#..###.###.##.##...#.#...##...##..#.###.##.#######.#..##.##.####.....##.....###.##.#.#..#.#.#.##.##.###..#.#.#.#..##.#.##...#.#.###...#.#.#..#.#.##.######.#.#.#..##..##..#.##.....#####....####.#.#.#.###.......#.#.#.##........#.....####.##.#....#.........##.##..####
#.##....###....####.###.#.#.##...##.....##.#.#..#.#...##.#.##..####.#..#.#.#........#.###...##..###.##.##.#.#.#...##.#....######.#..#.##.....##.##..#...##.#.#####.##.##.#...####.#.#.#.##.##.##.##..####.##....####..####.##..#...#.#.#.#.....#.####.#....#.#...####.##.#.#.####.##...#.#####.#..#.#.#####..##...##..#.####......###.........#.#.#.##...##..##.###...####.##...##...######.#.#.##.##.###.###.###..#.#......###..####.##.##..#.###.#.###...#........#######....#####.....#.#..#.#.#...##.##.########.#.##..###...#.##...#.##...#.##.##.#...##.#.#.#.###....###.......#.#.......##.#.##.####.########.##.####.#....#.#..#.##.##..#...#.#.#.#.###.#####.#....###.#.##.#.#####.........######.#######...#.##.##
#..####.#.####.#....#........#.########........##.#.#..#......####....##...###.####.#...##.##..##.####..###.#...#..######.#.##...#.##.#####.###..##.#.###....#.#.#.#..##.###.#.##.#.#.#.##.#..##..##.......####...##.##.#..###.###.#.#.#.###.###..##..##.#.#.#.####....#.#.........#.###.##......##.#.#.....##..#####.#.#.##.######.##.####.###.#.######.##.##......###.#...#.#..#.###..##....#..#.#####..##..#.#.####.######.##..##..##..##.....#.#...###.#.###.######.....######.####.##.##.#...#.###..##.#.#....###.###...##.##..##.##.####.#.##.##.##.##..#.#.....###.##...###.#...#.#######.........#...#.#.#....#.#.##.#.#.##.##.#....#####.###...#.....#....##...####.#.###..#.......###.#.#.....#####.##...###.....#
#.##.........#############.###.##....###.#.###.##.####.######....###.#####.#####......#.....##.##..##..##...###.#####........###.#.##.#.#.....##.#..#.######.#.#.#.##.##.#.#.#......#.#.##.##.#..#########.#.##.###.....##..#...##.#.#.#.#.#...##..##..###.#....#.###.##.#.######.##.#.#..####.###..#.#####.#..##.##..#...##....###.##..#####.#....#.#.#.#.....######...###.#.####...##.#####.##.#..##.##..##......##......##.###.##.##..######.##.#.#####.....#.####.#####.#..#.#.##....#.#..#.###.##..##..#.#.#.####...#.#..#####........##.....#.#........##...##.##.#.#..#...#.##.##....##.#.####.####.###...####...#..#.#.####..###.####.#.#.####.##.#####.#####.####.#.####..##.###################......##.##.#.#####
#..#######.#######.....##..##...####.#...#.#....#..#.#..#..###.###.#.##.#..#.##..####.#.###.##..##....#####.#....#..####.###.##....##.#.#####.#..##.#...##.........##.##.....######.#.#.##....#.##.##...........####.######.##.##..#...#.#.##.###.####..#....####.##.....#.#.##....#.#...###.#.#.##.#.##.##.#.##..##.##.###..##.#.#..##.#.##....####.#.#.#.######...##.##......#.#.#.##..##...#....###.##.##..###.##..######..#.#.....##..#.#.#.##.#.#.#.#.#######..#..##...#.##....###.##...##.....##.####.....###..###.######..#..####.#..##.##...##.###.###..#######.#...##.########..####..#..######.#.#.##.##....###.##......##.###.####.#.#...#........##...............##..###.##.##.#..#...###.##.######..........##
##.#.##.....##.#...#.#..##.####.##...###.#.##.#...##.##.##.#.#.##.....#.##.#..##.#....#####.###..####...########.#.##..###.#.#..##.##.#.##.##.#.##..#.######.#.##.##..####.###........#..##.#.#.....#######.###.#..#.#.#.#...#..##.###.....##...#.##.##.##.####.#..##.######.#####.....#.#.#.#.#..#...##....#.##.##..##.#...#####.##.#..#.#..#####...#.#.#...###..###...##.#####...#....#####.#.####.#.##....##.#####.....###.#.#.#######..........#.#.#........#..##.#####....#.#.##....#.###..#####..#.#..########.######.#.##.#.#######.########.##.#.######.#...##..#.######..##########..##.##..#.#.#....#.####.###.....#########..........#.#.#.###.#####.####.##.#.######.###........#.##.###.#.##.##...##.##.##.#..#
#.....#####.##.########..#..##...###.....####.###.##.#.....#...######.#.##...########..##.###.##.###..###..##.#.....##.##..#.####.....#.#.......#..##.##.#.#####...##..###...#.####.#.#.#####.#.#.###.##..###.#.#.##...#.###.##......###.#..#.###.#......#..##....##....#.#...#..#.#####.#.#...#.##.#..####....#.###.##...#...##..##.##.#.#.###....###.#...###.##...##.##..#.#.##.###.###.#...#.#.##...##.##.##..#.#..#####.....#..#.#..#.##.#####.#.....####.###.##...##.#.#.##.####.##...####....##.##.##.###...#.....#.#.#.#........##.....##....##.#..#..##...#####.......###..##.#.##.##.##..#.##.#.#.####..##......#.#...##...###.#######...#....##...##....#########..##..#.#.########..#..#..#.#...#.###...#########
#####.....#.##.#.##.#.##...####.##.########...###..#.###.#.#.#..##.#....#..###.####.#.##...##..#.#.##.#.##..#.####.##..###...#.######.#...#.#.#...##.......######.###.##.#.#####..###.#...##....####...##.#...#...#..#...##...####.###.####.#..##...##.#...####.######.##.###.##....######.###.#..#.#####.###.##..##.##.###.#####..#.##.#.....#.#####....####...###.#...##.....##..#####..###......#.###...#.##.##.#.####.##.####.##...########.#..#.###....###.#..##.##..#.####..#.#####.##.#..#.##..#.........###.#####.#.#.#.##.##.############.##..#.##.##..###.#.#.#######.##..#.#.##.#..##.##..#.#.#...###.###.#########..###.....###.####.##.##.########.###.#.##.##.###.##.#.##.##.###...##.##...#.......#...#.#.###
##..#####...##...#..#.##.#..##...#.##.###.#.#.#...##..####.###.##..#.##...####.#.#....##.#####.#.#.#..#..##.#.#.....##.#.###...#.##...#.########.####.##.###.#....##..#..#..#.###..##.#.######.###.#.#.##.###.###...##.######.#.#..#.#.##.#.#.############.##...#.#.##.##...#.#..#.##...##.#.#.#.##..#.#..##..##.##.....#####.#.#.##......#.###.....##.#####..#.#.#.#.###..###.##.##.#.##.#.##.#####.#.#.######.##.........#..##.....###.#.##.#.##....##.##..##.#.##...##....#.#.##..#.##.#..#.######.#.#######.......#.#........######.#.##.##.....##....#.##.###..#.....##.#..##.##...##...##...#.##.#.#.###...#.#.#....#.###...##.##.#.#....#.##..###.##.#.#...#...#..##.##..............##.###..##.###########.###...#.#
#..##.#####..###.##...#..##.###.##.#..#.#.#######.##.##.#..##.....#######.##.....####.....#.#......##.#.##....####.##..#.#.###....###.###..#.#.....#..######.###.####.##.#.##.#...##..#.#.#....#.#.###.##.#....##.######..#.....##.#...##...#..#.#.#..##....###.#.#.#...###.#.##.###..###....#.#....##.##.##.##..###.##...##..#.#..#.##.###.....######.....#.####.#.....##.#.###..##...##...#......#.#......#.#.#..#########.##..#####...........#.############.#..###..#.####....##.#.##.#.##..##.##.........#########.##.###.#..##.##...#..######.###.###.#....##.####.##..##..#..#.#####.##..#....#.#.....##.##.#...####..##########.#.#.####.#####...##.#.#.###.###.##.....#.##.#.##.#.###.#...###.#.###.#...####..###.#
##.#..#.##..##....###.####...##.##.##.#.#..#.##.#.##.#..##.######..##......####.##....###.#.###.#####.#.#####.#.##.###.....#.####.#...####...####.##.##..#.#.....##.#.##....#.###.###...#.###.##.#.##..##.####........###.#####..#.#.######...##...##.#####.#.#.#...##.##.#.#.#...###..#####.#...#.##..##..#..##..#...#.#..##.....####....#########.#..#####.#.##...###.#.....###..##.#####...######.##.#####.#...##..#.#.#...##.#...#.#.#######....##...#.#......##.#.##.#.#..#####....#....#.##...##.##.#.#..###.#.##......######..#..###.##.#....#.#...#.#.#####.......##..##.#.##.#.##.....##.##.....#.#.##.#....######.##...##.#.#.#.#.######.#.###..#.............#..##.##..########.......####..........#..#.##.##..#
#..##.#..##.#####.#.#.#.###.##..#..#..#.##.#.##.#.##...##..#..###.#######.##.....########....##..#.#....#.#......#.#.#####.#.#....###....###..###..#....##.#####..#.#.###.###.#.....###.#.##..##.#.#..##.......##.#####.#.#...##.....#.#.#..#..###.##..##.....#.###.##.#..#.#.###...##..##.#.#.#######.###...####...######.#..#########.###..###..#.#.####.#.#.#..#..#####.####.#.##...##.###.###.#........##.#.###..##.....###....#######.##....#.##..###...##.#.##.#.#......##.##..####.####.##.####.#######.#...#..###.######..##.#.###..#..####.#.#.###.#.#...#.#.##.###.###.#.#.....#.###..###############...##...........####.#..........###.#...##.##.##########...##...##....##..##.#.##..#.#.###########.#.##..#.##
##....#.##...#....#.#........##.##.##...........#.#..#..##.#.##.#.#.#..#...###.#...##...##.#####.#.###.##.#####.##.#....##.#.####.#.#.#######.#.#.##.####...##.##.............###.#........##..#...##.####.#.#.#..#.##..#...######.###.#...###.#....##.######.#.#......##.....##..#.###.#........##.#....###.#.##.###..#.####.....##.#..#.##...##.#.#.#....#.#.##.##...#.#..#.#.#..###.#..#.#.#.#.###.######....##..####.#.######.##..#.#...###.#####.###..#########.....#.#.###.##.##.........##..#.#.#.#.##..#.###.###...###.##.##...#.##...##.##.#....##.....########...#.#.#.#.#.#####.####.##..###....##.###.###############...####.#.#.#...#.#.###..##..........#.###..#..##.#....##..#.###..........##..####.###....#
###.#....###.##.#.....####.#....#..##.#########...#.##.##.....#.#.#.##.#.###.###.###..#..#..#.#..#.##..#..##.#..##.###.###....#.#.#...##................###.##..####.#######.##...#.#.#.##..##...####..##..###.##....##.###.##......#..##.##.#####.##....##.#.#.##.##.#####.#####.###...#####.#####.###.##...#.##..###....#.#.######.##.#..##.##......#.####......######.#.##.#.#.##...#.##.....#..##.###..####..#.##.##.###..##...##.#.##.##...#.#.#...##......###..#.#####...#.##.#####.#######.##........####.#.#.#.#.#...#.#...###.#..##.##..#..#.####..#.#..#.#.#.#.###.#.#......#.#.....###..##...####..#.#.#.#.####.####.##.##.##.######.##.#...##.#..#.#.###.##...#.##.###.##.####.####.######.##.##..##.##.#.#.####
########.##..######.#..########.##.######.##.####.####..##.##.....#.##.#.#.#..##...#####.##...##....##.##..#.##.##..##...####.....##.############.#.##.##....##.##.#...####...#.###########....####.##..##.###.###.####......#####.##.##...#..#.#...####........##..###.#....#.##..####.###..........##..###....##.#.#.####.#..##..#.##.#.##.....#.##......##.#.#..#####...#......####....##.####.##....#.##....##.#......##.####.##..#.#...###.......#.#..######.##.####..##.##.....##.#.....##.....#.##.#..##....#.#.#.#####.#.###...#.###..##.##.#.#..##.######.....#.##..#...##.###...#.#..###....###..##.#....................##.#...#.#.###....#.##...##.#..##.###.####....####.##.###.##.....####.....##...#.#......#
##.#.###....##.#.#..####.........#.#.##............#.#.##..#..#.#...#......##.##.###.#....#.#######.#..###...##..##..##.##..#####..#...###.##.#.#.########.###..#....#....##.#####...#.#####.#....#.##.#####.###.#.#..###.##..#.......##.###.##.##.##....#.####.###..##.##.#....##..##....###.####.####.##.##.###..#....###.##..##.#....#....#.#####..##.####.######...#.#...######....#.###....#.#..#.##..####......######...#.#..##.#.##.##.#.#.##.#####...#.##.##..#.#.##########......#.######.##############.##.#.#..#..#....####.#.##..##..##.....##....##.#####....##...########.########.#.#.####.##..#.####.#######.###.####...###....#..######..#..###.###...#....###.##..#.....##....###.#.######.##.###.#.##.###
#......####.##...###############......####.##.####...#.#####.######.##.######.##..##.####...#.##.##...##.###.#..##..##...##.##.###.#.###.#....#....#..##.#...##.###.####.#####.#.###....##.###.####..#.##.#...##...#.##.#####.###.###.....##..#.#..##.##.#.#......##.##.####.####..#####.##...#.####.#..##..#...##...##.#.#..##....#.####.#######..########.#..#.#...#######....######.####..##.#.#.######.#..##.#.#.##.##..###.##..#.#..#.##.#.#########..###.##.##.##.#.#..##.#.#..#.####.##.##..##.##.#.###.#..##.#.#.##.##.####..#.#.###..##.####.####.####...##...##..##.######..#..#.#.#.#...####....##.#...####..#.####.###....#.##..####.####.##.#######.#.##.#############.###.####.##...###......#..#.#......#####
##.##.##.....###...#...#.#.....#.#.#.##.############...#.#####.#....##.#.##...#..##..##.###...##..#.#.....#..##.###..###..#.#...##...##..####...##...##..#.###..#....#####.#.......####.#..##.....##.#.##.##.#####....#.##.....####.##.#####.##.#.########.##.###.##..#.#.#...###.######.##.#.#..##..#.####...###..###..#.#.##..####.#.##...#.##..##....#.#.#.##...#.#..##...####.##....#.##..###.#....##..##.##.#####...##..##..##.#.#.##.##...##...##.##.#.#..#.##.##...#.##..#.##.###.#####....##.........#.##.#.......#..#..#.##...#...#.##.....#..#.#.##.#.######.###.##.##.##..##.##.......#...#..##.##.#.###.##.##.#.##..###.#######.###................#....####....#.#..#..###.##.#.#######..######.##.#.##.#####.#
#..#...#####..####.#.#...#####.#####.#..#.##.##..##..#...#.##..####......####...####.#....##.####.#######...###.#.#.##...##.###.####.#..##....###..#####.#...##...####.##..#.#.###.#.#..##.##.#.####...##.##.########....####.##.......#.##...#.#..###.###..###....##.#.#.##.##...####.#.####.##..##.#..#.###.#.##...####....##...##.#..#.###..##..#.####.#.#..#.#####.#####.##.#..##.###.##.###....######.....#..#.##.####.##..###.#.........####.###..##.....##..#.####.#....##.##..##.#.##..#.##..#####.###....#.#####.#.##.##.####.###...######.#.##............####.#........##.#..##.##.##.###...######.#.........#....##..#...#.##.......#.#.#.#.##.##.###.####.###.##.##.##...###.......##.##...#######....#####.#.#
#.###.##..##.##.##.#####..####.##....##.#..#.#..########...##.##....####..#.##.#####.####.##..##...##...###.##.......###.#..#.#..##....###########...#.#...######.##.#.##.########...#.###.#..#.##.##.##......##......#####.#.##.#.###.#..##.##.##..#..#.########.##..#...##..###..##.....##.....##..#.##.###.#.##.###.####.###.###....##.####.###.....##.#.#.##.#.##...#.#.....#.##..#.#....#.##.###.##.#####...##..#.#.#..#..##.#.#.#####.#...#....##....#######.#..##....#.##..#..##..#..##.#####.#.#####.####....#.####.##.#...##...###.##.##.#......###.######..##..#.########....###..############..##....#.#.#.###.####..##.###.##.#####################.####.#.#.#.##.#.....#.######.#####....###..###..##..##.#.#.#
###.#..##.#..##......###.##.....####.##...##.#.##..######.##..#######....##.##...##.......###.####..###.#.#..######.##...##...##.#..#####..#.##.###.##.##.###.##...#.#.#...##.##...#...#.#.##.####.##.#######..######..##.#.#..######....##..#...##.##.#..###.#...###.#.#.#..##.#.#####.######.#..##...##.#.#.#......#..##....#.#.####......##.#.#.#.###....#.......###.#.####.##..##.#.#.####.#......##....#..###..##.#.##.##..#.#...##.####.###.####..####..#.#....##..########.#.####.#.##..###...#...##...##..#.##.#.#...#.#.####.###...##.##.#.######.####...######.#.#..##.###.###...####.#...##.#.####.#######.#.#.##.##........##.###.##.#.#.#.#...#.#....#.............##.####.#.#......##.###.#.##.#.####.#..#.#.#
##....###.##..####.###...#####.##....#..####.#..##...#....###..##.######.#..###.#########.#.#.#..##.#.#.#...##.###..####..###.#..##.....##...##.#....#..#.#.#..##.##...#.####.######.#.....#...##..#...##.....##.##.#.##......###.#.####..##...###.......##...###..##.#.####.##....##...#.##...#######......#.#.##.###.####.###....#.#.#######.....###.####...#.#.###.#.#.#.#...#.##........##...##.#######.#.##.#.##....##.###...#.###.....#.###.##.#.###.##.#.#.######....##.#......##....#.##.###.#.###..#####.###....#.###....#.#...###.##.##...#.#.##..#.#.########.#...##..#....#..#........###..#..##.....#.####.#..#.##.##.#####..#....#...#.....#.#.#.####.###.#.#.#.###..#.##...##.######..##.#....#.#.#####.....#
#..##.#.#.##.###.#.#.###.#.##..#####...##......#####.####..#..##..#.##.#.#.##.#.####.##.....#...##......###.##...##.#.#..##.....####.#######.#..####...##...#.##..##.#.#.#..#.#.##########.##.####.#.#..#.###..#.##....######.#.#.#...###..##.##.##.##.######.####.......##.....######.##..###.###..##.###.##....#..#..##.#.##..####...#.##..##.#.##....#####.###..##.#.#...###.#.#..##.#.######.######.#..........###.###..#.#.#.....#.#######.#.##...#...##.#.#....#.#.####..#.####..###.##.##...........##.##...####.##..#####.....###.#.##.#..#.#.#..##.#.#.###..##..#.####.##.####.###.##.#.##.##.#.##..#.#.#..##....##..#.####.#.##.#.####.#.#.#######....#.....##############....####....#.#.##..#.####.....#.#.#####
##.#......##...#.#...##....###..##.###..######.#.#.#.#.###...####.#.#.......#.#..##..######.#.###..####.#.#.##.####.....#######..##....##.##.##.######..#.###.#..#####.#.#.##...#..##.#.##......##.###.######.##..##.###......#.#.##.##...##..#..##.######.##...##.#####.##.#.#.#.##......###......##..#....##.####...##.......#######.#..#.##..######.##.#....#####..#.###.#.#.#...#######..##....##.#.######.#####.....##.#.#.##.#.##.###.##..#..#.###.###..#.#.####....#.##...#..##.##.....#..############.###.##.##..##..#.##.#####...#.##.#.##.#.#.###.#.....##.###.#..##...#...##...#########.##.#.##.#######.#..#.###.##.#.##....#....#.#.###..#.#.#..####.######.#..##..#.#..#.##.#..####.#.###.....##.#####....####
#######.#####.##.##.##..####.#.##....#.##.##...#.#.#.......#..#.#...###.#.###.##.###...##...#...##.####.#.#.##.##.#####..##.##..##..##..#.##.#..#..####....#..##..#.##......###...##....####.####..##...##.......##....###.##.....##..###..##.#.##....##...####.#..##..#.####.###..####.####..##.#########.###....#####..#####.....##....##.###....##..#..####...#.##....##...#...###..#.##.##..#.###.#...##...#.###.#.#.#..#...####.........##.#.##.##....##.#......###.##.#..###.#####..#.###.##..#.#.##.....##.#...##..##.#.#..#.##..###.#..#.####...#.#.#.#####..#.....##..###.###..#..#.###..#.#..#.#.....##.....#####...#.#.#..####.##......#..##.....###............##..##...####....###.#.#..##.#.####..##.##.###..#
#.#.#.....##..##.##.#..####.....##.#.......###.#.#.##########.#.###..####.#.#.##..###.##..#.#.######...........##.#.#...###.#..####.##.##....##...##..###.##.##..##..##.#####.###..####..##...####.####..#######.###.##########.#....##.#.##....###.######..#.#.##..##.#.#.#...##.##.#..##.##.####.#.##.....#..######.##.###########..####....#.######.#.##.##.###..####.####.#.####..##.#...##.####....######.....###.####...#..###.##.#.#####.......##.####.#.######........####.#.##..######..##......##.####....#####.##.#.##....##..##.##.#..##..###......#.###.###.####.##.#.#.##.####.#.##...##...#.#####..#####.#.##.##.#...##..#..##.###...###.######..#.###########.#####.#.#####.........###.#####..##.......#.##
#.#.###.#####.##.#..##.##.#####..#####.###.#.......##.##..##..#.#.##.#.#.......##.#.#..####.#....####.########..#.#.###..#..##...####..#####.###.##..##.#.##.##.###.##...##.#..###.##.##..##.##.....##..###.##.#.#.#..##......######.##.#.#####.......##...##.#.###.#....#.#.###..##.##.#..#...##..#..#####...##..#.#.........##.#.##.#.##.####...##.#.#.##..#...##.##.#..##..#.##.#.##....#.#...#.###.##.#.#..######...#.#.####...########...##.######...##.......#.####.######......##.####...###.######..#..##.######..........####..##.....#.####.#.#.######.#.#.#.#.###..##.....##....#.#.###.##..###.##.###...###.#.#.......#####...######..#............####..#.##.#.#.##.##...#.##..######.##.#.###.##....#######.##
#...###.#.##..##.##.##.##..###..##.....########.##....###....##.#......##.######....##..##....#.##.#####.#.##..##.....##.##.#..###.###..#.#....#..##.#..#.##.##.....##.####.#.##...##..##.#...#####..#.##.#.##.....#.####.###..#.#.#.......#.##.####.##..###..#..#######.#.#.##..###.#....##.#####...##.#...###..##.#.#####.###....##...#.....#.###....#..##.#.###...#.##..##....#.#.##.#######.##.#....#.#.#.####.#..###.....####..#.##.##.###....#.##.###..#######.##.#......###.####...#.###........#.##.#.##..###.#..###.#.####.##.#######....#...#............#.#.#.#.##.#..#.#....#.##....##.##.##.#......##.##.#.#.##.######.##..###.##.#####.#.##.##.#.#..##....#.#.#..#.#..###..##.....##........#.##.##.###..#...#
###.#.#.#.###.......##..#.##.##..#####.#.##.#.#####.###.####.##.######.....#..####.###.######.####..##.#.#.###..#.#####..##.#.##.#..##.##.####.#.###.##...##..#.#####..##.#.#..###.#..##....###..###....#.#.#..###.#..########.#.#.##.#.####.######..##.##.##.#.##.#.##....#..##.##..####.##..#..###.##.##.###..##..#.#.###...#.##..##.##.#####.#.####.#.##..#...###.#.##.######.#.#......#.##.....#.####......#.#.#.######.###.#####..#.#..#.###.##.#..####.####.##.#..#.######.#.#.##.###.#.#.######...#....##.##...##.#.###.........#.#..#..####.###.############............#######.###..##.##..#.##.#.####.##......#.##.....#...##.#.......##.#############.##..####.#.#.##...##.#.##..###.##.########.##.####.#.##.###
##..#.#...#.##.#.##..##.#....###.#.###.#.##...##.#...##..#...##.##.....#.#...##....##..##.#....#.#.##........##.#..#.###.#.....#.#.##...#..##..#..#...###..#.##..#.#..###...#.##.#.#.#####.###..##.##.###.#.####.#.##..#.##.#.......#.######..###.##.##.##..#.#.#.....#.##...##..###.#.##..#.##.###...#..#...#.###.##.#...##.######.##..#.##.#....##...#..##...#####...#..##.....#.#.######..###.#...#.####.####.#....#..##..#...##.#.##.##....#...#.#.##.#.....#.##.##.#...#.##.....................##.##.#####..###.##.#..##.#.###.###.##.##............###.#.##.###.####.##.##.#.###..##.#####..##.##.....####..######.##.#####.####...####.##...#.#.##.##.##..##....#.#.#....###....#..##.#########...#.#...##....#....#
#..##...###.########..#.####.#.#.#.#...#.####.#..###..##.##.##...#########.#######.#..###.####...#..######.#......##..##.#####...#.####.##.###.##...###...##....##...##.###.#..#.#...#..##.##..##..##.##.....###....##.#.##.#######.#.##...#.##......#...#.##.#.#.###.######.#..##.#.#.###.#.#..#.###.##...#....#.....#.#######.....###........#######...##..###.#.###.#.#######.#.#...##.##..######.#..#.#..##....##...##..##.#..#...##.#####...###.#.#..#.#####.........#...###.#######################..##.#..##.#.##.#.#####...###.#.#.....###.##.#.#.#.#.#.##.#......#.#####...#.##.......###.......#.#...###..#.#.................#...#######.#.#.#......##.##.####.#...#.######.##.##...#.##.....###.#.#####.###.####
##..##.##.#..##.#.###....##........##.##..#.....##.#.##......#.######.##.....##....##.##...##..#.#.##....########.###....##....###......#...#...##.##.###.###.#####.###..##.##.#.###.#.##..#..##..##...##.####.##.#..#...##.##.........##.##.#######.#.###....#.####...#.##....##....#.#.#.#.#.##.#.#.#..#.##.#...#####.#.#.#.#####.#...####.####.##.#.####.##...#.##..#...##........####..#.##.#..#.##...#.######.########.#..#.##.###....##..#.###.#...##..##.#######.#######.#........#.#...#.#.###.#..##....##..#.#......#########.#.##.##.############.#...##...###.####.....#....##.#.####...##.#.####.###.##.#.##.#.#.##.##.##########.#.##......#.####.#..#....##.#.#####..##..#.....###.#..#####.#.#.#..##...#.#.##
###.#...#.##.##.....###.##########.##..##.#####.#..#.###.###.#.#.#..#.####.#######..#.###.##..####.#..####........#.####..####...######.###.#.#.#..##.#.#..#...#.#..#.##.#........#.....##.##.###.###.##..#.#...###.##.###...########.##...#..#.#....#.#.####....##..###..####..###.##.....#.#..#.#.#...########.##..##.#.....#.#.....#....#...#..##....##.....###..##...###########..#.##.#.#..##....#.###.#.#.#......##.#...##.....##.######.###.#.#.###..##....##.##...##.##...##.#####...###.....#.##.###.#..##.....######.##..#.#.#..#..#.#..##.#####....####.#######..###.#############..##.#####.#..###.#..#...##.#####..##........#.#...##.######....#.##...##.##......###..##.#.##.##.#.#.####.#.#.....##..###....#
#...###...##.###.#.##....##..#......#.###.###.#.##.#..##.#.......##....##.....#####...#....#.###.....###.#####.##...##.#.##....#.##.#.#.#.....####..#.#.##...###.##.#.##.####.#.#...#.#.##..#.#.#.#.#.##.##.#.####..##...###..##....#..#.###.##.####.#.#.#..###.##..##.##....##..#...####.##...##.#...####.....#..##.##...#####.###.######.#.#...###.##.######...##.##.###.##........##.##...#.######...#.#.....#.#######...###########..#.##...##.#...#.#.#####.##.....#..#..#.###..####..####..#####.##..#..##.#####.###.##...##.#.#.##.#.####.###..#.#..#.###.......###.###.....##...##.##.###.#...###.###..#.##.###...#.##.####.#.#.###.#.###....#.#..######..#..####.######.##.#..#.####.........#.....##.###.##.#.####
###.###.###...####.#####.###.##.###.......#.#...##.##.##########.###.#####.##.#...###.##.#.....#####.#.#.#.##..####.......###.####........#.#..#.##.#.#..#.#..##.##.#....#.#######.########...#.#.#.#....##.#.#.#..####.##.##.#####.#.##.#.#.##.#......#.#.###...##..#..####.###.#.#####...###.##.##.###.##.#######..##.#####.#..##...############.####..##.##.###..#...#..###.##.##.#...##.##..##..###.#.#.###.#.##.##.###...#.#..#..#.##..###..#.#.###...#.##..##.###.##...##.#.####..##.##.##....#..##.##.#####.....#.#....####.#.#.##.....##...#.##.#.#####..##.#.##...#.#.#####..#.....#.....#.####..##..##..#.....#....####...######.....###.###...#######.######.#.##.##..##...##.#.#..#########.########.#..#.#.##.#
#...#.#.##..###.#...###.........#####.#.#...###....##..##...###...#..##.##.######.#....###.#####.....#.#.#..#.##.#..#.###.#.#..##############.##........#####.##..#.#.####...#..##.#.#.##.###.#.#...#.#####.#...#.###...##.#...#.#.....#.....##.####.#.....##..#####.#.####...##.#.##....###....#.##..#..##...#.##..###.#.#.#.#.####.##...#..##.##.##.#.##..#...###...#...##.####.##...###...##..##.#.........###.....#.##..###.#.##.##.###..##.##...#.#.###.#..###.########.#......##.##...#.##.####.##..##.....#####.#...####..#.#.#....#####..###......#.#.#.##########.#...###.#.###.####.#####.#..##.##.###.##.###.#######.###....##..#####.......####..#.#.#.##...#..#....###.###....#.######.#......##.##.##........#
###......##.#.#.###.#.###.##.####.########.##.####.#..#####...###.##.##.#..#.##...####.###.....#####...#...#####.#######..#.#.##.##.##.........########.#.#.#..##.#......###...##..#.#.##.#.....###.#.###.#.###.....###.#..###.#.#####...#####..#.#######.####..####.#..#.##.##..#..####...####...##.##.##..###..##.##..#........#.#..###...##...#.#..#..##...#.....#.#.####.##.####.###.###..##.##.##.####.#..#..#.###..##.......##.##.#.#.##..#..###.#..##.##...#....#..####.#######.#..#...##....#..##....#####.##..#.###..##.#.#...#.##.....####.###.##.#....#.####......###.....##.....#.#.##..#.##..##.#....#...#..........##.#####.##.#.##.######..#.##......###...##.####...#...##....#.......######......#.###.#.##
#####.####....#.##..#..#######....#.##.#....#.###..#.#####..###.#.....#.##.#.##.#......#.#.#####..####.###..##.#.#.#.#.##.....##.##..#########....###.....#...###...#.#.##...#..#.##.#..#.#.###..##.#...#.#.##..##.##.#.##.#.......#...#####.##.#.#.#.###.##.##..##..##.#.#...##.#.##.##.###.###.##..##..##.#.##.##.###...########.#.##...#..##.##.##.##.##.###.###########..#...##..#.#...##..#..#.####.##.####.####.##.#..##.####..##.#.#..##.#.####.#.###.#..###.####.##.#.....#.#....######..####.##..#.##.##..###...#.#.##......#.#######.###....#####.#.####..#.####.###...#######.####.#..#.##..##..#.#.####.######.#.#########.....#........#....##..##.#####.##.###.##.#.#...######.##.#########.####.####.#.######
#.##.....####.#..##.#.##.#..#####.#.#..####.#.#.##.....##..##...#####......#..######.#...#.##..##.#....#.#.##.............#.#.....#.##..##...###.##.#####.#.###...#############......##.#.###.#.##....###...###..#.#.....#.##.##.#...#..#....##.#.#...#...##.###..##....#.###.#....##.##...#..##.###.##.##....##.##..##.###....##.....#.####....##....##.##...#.#...##.#..##.##.##..##.#.###..##.##..##..##..#.#.#.##.##.#.#####.###..#.#.#.###.#..#.#.#..#..##.#.....##.##.#.##.##.#.####..##..##.....##.###...##.#.#.###......##.###.##.###...#..####.#.....#.###....###.####.#####.####..#.#.##.##.##..##.#......##.###.#..##.#.#.#.#####.####.#...####..##......#.#....#.##.####.###.######.#.####.....##....##.#..#.#.#
#.#..######.#.##..#.#..#.#.##.#.....##.##........####.####..##.###.#######.##.##..######....#.##..####.#.#.#######.###.##########.#.###..###.#....#..####.#.#####.###..####.#.##.#####..#.##....#..##..####.....##.###.#...#####.##.###...#.##....###.###.##.#.#.####.###.#.#.##.####.####.#.##...##..#..##.####.##.##..#.#.####..###......####.#####.##.#..######.###.#.##......##.##.#.#.#.###.##.####.##.##.#....#......#..##..##.##.#...#.#.#.##.#.#.##.##..#.##.##........###..#.##.#.##..######.##....##.##....#.###.###########.##.#.#.#.#.##..#.#.#####...#.####.....#........#..##.....##.##.##.##....##.#......#######...#.#.....#...######..#.#.###.######.#.##....#..##....#...###.........#.#....##....#.##...#
#.##.##.#.#....##.#.##......#.##.##..#.########.####.......##..##....#.##......##..##....#.##.##.##..#...#..#.#.#####..###.#.##.....#.##..#..####...##........##..#.##..##..#.##..##.##...##.##.##.#####.######.####.####.##.#.#######..#########.#.#.#.#.##.#....##..###.........#.#..#.....###.##..##.##...#.#.....##..........##.#########.###.#...##...###.##..#.#.#..######.##.##.#.#.#.#.......##..##..#.#.####.####...###.###.##.#.###.#.#.##.#....#.###....###..###########.#..#...##.##..##.....#####.#####.#.#...##...#.#..####.#.###.#..##.#.....###.###..##..##.##.###.##.#.####.#####..........##..######.####.##.#.###.#.#####.###....##.....#.#.##..##.#.####.##.###.####.###.#.###########.#.####.#.#.###.##
#.........###.##....####.#.##.######...#.#.........##.###.####.#####.#.######.##..##..#.##....##..##.###.#.##.#.#.#.####.....###.##....##.#.##..##.#######.#.####....##..##.#....##..####..####......##...###.#..##...#.#.##.#..#.##.##....#.##...#..........###.###.##.#######.#...##.#.#####.#..#.###.###.##.#.#####..#####.##..........##...##.###.#..#...#..##.#.#.#.##.##.#.##.##.#.#.#.#.########.##..##.#.#......##.#.#.#..........##....#.#....####.#.#.##...##.##.....#.##.#.##.###..#..##..###....#....###.#...###..###.##..##..#..##.#.##..#.#####...#.##.##.#####...#######..#.......##.####.######..#.#.#####..##...##....####......##..###.###.#....###....######.##..............###.....##.#..#.#.#.#..#...#
#######.###....####.#.####.##.#.######.#...###.#.#.####...#.#..#.#.#.#.#.#.##.#..###########.##..##....#...##.........######.....#####.......##.##.##.####.###..##.####.###.###.####..####.##...#.#####.###.#.#.#####.#...#..##.........####..###.#.#.##.#.#.#...##..##.##.##.####.##....#.###...##.##...##.##.#.....##....##################.###..#..#.####.#.##....#.#.##.#....##..#.#.#.#.......##.#..#.##......##.######.#.##.#############.....#.##..#.#...######.....#####.#..#.##..##.##.###.##.######.####.#.#.###.##..##..##....##.###....##.#.....#.#....#.#...#.##.###..#..##...#######..#.##..##.###.#....##.##.##.######.##..#.###############..#.####.###.##.##......######.##.####...##.######...######.#.###
#######.#.###.##.#..#..##........##....######..#####.#..#...##.#.#.#.#.#...#....##............#.######.##.####.####.###......#.#.#.....#.#.####..#..#.#.....##.##...##......##....###.#..#..#####.###.#.##......#.##..###.#.####.#.####....##..##.###..#####.###.#..###.##.#..###..#####...#.##.###..##.###.#....#####..##...##.#.###.##.##.#...##.##.#...####..#.#.##.#.##.####..##.#...#...#.######.##......#.#.##...#..####..#.#..###.##..###.#######.##.###.#.##.##.####..#..##.#....##..##.#.#.....#...#.#.#..#.....#....##..####.###...#..####....#######.##.....###..#.###.##.##..###.##.###.#..#####..####.####...#..#..#.#...###.#....#.#.##...#.##.#..#.#..##....#..###.###.##########..#######...###...##.......#
#..........##.##.##...#########.#####.#####.##.##.##.######..#.#...#.#.###.#.##..############.#.##..#..#..#..####.#.#.##########.##.#.####.#.#..##.##.#####.##.###.##..###.####.###...##.#.##..#....#.#..#####.##..##.#......#.#.####.##.#..##.....##.###.#......#.##.#.#..#.##.##.#.##..###..#...##.##.#.#.#.#####....########.#.#...#...#.##.##..##.#.###.##.##.###..#.##......##..#.###.######.##..#..############.##.##.###.#...##....##..##...#.#.#..#.#......#.##...#..##.##....#####.##......#####.###.#...##.#####.##..##..##..#.##.##.##..##.####..##..########.##...#.......##.#.#.##.#.#.#.####.##...##.##.###.#.##.##.###..##.#.####....##.##.##...##.#.###.####.#######......#.##.##..#..#...#.#########.####.#
#########.##..##..###..#.#.......#.#..##..#....##.#..#..####.#.###...#..##.#..####....##.........##.##.#.##.###.......##..###.#########.#......###.....##.#.##..##..##..#####...#.###.......##.##.###.##..##.#.##.##..#####.##.###....#..######.#######.#.##.#.#...##.#.##......##.#.###.####...####.#....#.#.#.#.##.####.#.#.#.#.#.###.###.##..##.#......#.#..##..#..##..##.###..##.#.#.....##...###.##..####.#.#.##..#..#.#.#...#######.#..###.###.#.#.##.###.##...##.###.##...####..#....##.#.##.#.##..###.##.##.........##.###..#.##.##.#.....##.....#.###.##.#.#.#...#.###.#######.......#.#.#...#.....#.###......#..#.##....##..##......#..#####....#..#..#.#.##....##.....#.#.####.#.....#.##.##.#####..#.#.#....####
#..####....##.###.#...##.##.#.##...##..##.####..#.##.#.##........##.##.##....######.#..########.###.##.#.##.#.#######.###......##.##.#..######...#.#####..#.#..##..####...#.###.....#######....#...##..##.##...##..##..##....#..#####.##..#####.#..#.#..#.########.##.#.###.#####..#.#.#...####.#.#..#.##...............#.#.#.#.........##...#.##..###.####.#.###.##.##..#######.##..#.#.#.#.#..###......##.........####.##.#.##.##...##..##.#.#.....#.#.##.##...#####..##...#.####.#.##.#####.######..##...#.##.#..#.#.########.##.#.#..##.#.#######.####.##..##.#.#...###.#.#......###.####.....#.###.#####...##.###.#.##....######..##.#####.####.#.####.#####...#..####..#####.#.#.####.###...........###.##...#.####.##
##.#..####.#......###.##.#########.#..###.##.##.#.##....####.###.##.#...####.....#####.....##.#.##..##.#.#........###..######.##..##.##.....####...##..##...##..##.##.#.#.#.#.##.####..##.####.##.##..##.....###..##..######.#.##..#...#.##.##....##.##.#.#.....#...............##.......###.#....##....#.#.##.###.######.#.#.#.##.#.######.##..##.##..###..#......#..##..#.##.#.###...#.#####.##.#####.###.##########.#.##.#.....##.##..##......#####.#.##..##.###.###..##.##.#.#.......#.#...###..##.##.#.#....#.####..###.##..##.....##....##.#.#........##.#......#.........######.#.######.###.##...##...####.#.###..##.###.##.#.##...........#.#.#.##.#.##..###.###.#.##..##...#...#....#.##.######...#..#.#.........#
#..#.##.#..######.##..#..#.#.#.#...##.#.#..#....#.#..#####.###.#.#....###..#.#####.#.##.##.......##.##.#.#.########.##..###....##.##..#####.#.###.##..#####.##.##.....#.###.#.##..#.#.##....#......#.#######.#.##.##.###..##....##...#.#.#...##.###..##.#.##.##...###.######.########.####.#...#####.#############.#.##.#.#.#....#.#...##.#.##.##...##.#.##...#.#.##.##..##......#.###.#..#.#...#..##..........##..#......#.#.#####...##..##.###...###.#..##.#..##..#.##.......#.##.######...###.#.##...#.######.#..######....##..##.######.####.#.#.########....#######.####.###...#........######....#.###.###.#.#...##.##......#.#.#..#.#.#######.#.#.#.....##............##.##.###.###.##.####...#.######.##.##.########
##........###.#....##.##.#.#.#.###.#....##.##.#.#.##.##.#..##....###.##.##....#.##...###########.##.##......##..##..#..##.####.##.##.##.###.#......##.##.##.....#.#####.##..#.#..##....##.#...#.##...#.#..##.#.##....#.##.#####.###.##.....####.#.##..#.#.#########...#.......###.##.......#.#...##....#.##..###.###..........#.##.#####.....#..##.##..#.##.########..##.###.###...##....##...#.#.#####.#########.##.######...#.#.#.###..###...##.##...#.##..##..##.#..##.######.##........#####.#..##.##..#.##....##....#.#.##..##...#.##.....#.#.#......##..#####.##.############.#.######...##.#.######.#.#.#.#.#.###.....######.#...####...............#.#....##.#######................#....###.#..###....####..#.##.##
###.#.###.##..####.........#.#...#.###.##...###.#.#...#.#.######.##..##.##.####....###.#.#........#..###.####..####.#.##.....#.......##.#.....####.##..#..####.##.##.##.###.#.#.####.#######.#######.#.#.##..#..####...##.#......#####.##.###.....###...#.#.#.##....######.#.##...#####.######.###..##....##......#..###.#########..##.#####.#.##..###....#.#.##.#.#.##...#####..#######....#.###..##.........#.#........####.#.#.#...##.#.#.########.##..##..#.###...##......#.....#.###.####.#.#.##..##.##.#..##....####.#####..###......#####.....##.###..##..#...........##.##........##.#.##.#.##..##.#.#.#.#.#.#.#.##.###.#.#.#.###.####.##.######.#####.#.###.......#.##.#.##.#########.#######.##.##.#..##..##.....#
#...####.....######.##.#.#...###.#.#.#..##.###....###.#....##....###.##.#..#..####..#..#.########.#.###.....#.##..#.#.######.#######.##.#.########..##.##.##.#.....#.##..##.#....#.#.#.#.#.####..###......##...####..###..#.#.##.#.##..#....##.##.#.##.##.#.#..###.##....###.####..##....##.##..###..######..#.####.##.###..##.#.####..##..#.#..##..##.####.#.........###...#.##..##.#.#.########.####.####.#.#...########..#.....#.###....#...#.#.##.##.####...#...#.#..######.#######.####.#.#.#.###....##.#.#########.#..##.#.##...######...##.##..#...##....##.###########...###.############.#..##.#....#.#.#.#...#.#####....#.#.##....##..###########.######.#.#.#.#.#..###..#...#.....###...##..#...#.##.#..###.#####
######.#####.##...##########..##.#.#.#.###...####.#.#.#.##..####.#.#.#..##.#.##.###.##.#.#.##.#.#.#.#.##.####..##.....#.#.##.##..###.##.#####......##..##..#.#.#.#.#.##.###.#.####.#.#.#.#....##.#.##.#.#..###..#.#.##.##.#.#.#..#..#####.####..#.#....##.#.##..########.###..#.#.#####.##..#..##.#.####..##.###..#.#...##.###.#.##.##..##.#...##..###..#.....#.########..#....#.##.......##.##....##.....#####.####.##..##.###.#.#.#.###.##.###.#.##.##..#.###.#.######.#.#..#.....##...#.#.#.#.#.....#.###.......#.#.#...###.#..###..#.#####.##..#.######..#####.......##..###.#.#....#.#.#.#.#.#.###...#.##.#.#...#.....#.#.####......##.######.................###.#.#.##...#.##.###.#########..##.#.######.#.##.#.###.#
#............##.###...##..###..#.#.#...#.##.###.....#.###..###.#.#.#.#.##....##..##.................#.#...###.##..#.#...#.##.###......#.##..######.##.####...#.#####.#..#.#...#..#.#.#.#.#.####..#.######.##.#.##.#.##.##.######...##......##..#######.##...###...#.#........##...##.#...##...##.......##.....###.#...#...........#.#..##..##.###.##...##.########.#.##..###.#....####.####...##.#####.####..#........##.##.##..###...##...#.###...##..#.##.##......##.......##.###.#..###.#.#.#.#.##.####.##.######.#.#.###.....##...##...##..##.#######.##...#.#.####.###.###....#.####.....#.#.#...#.######.#.#.#######.#....#.#.####..###.##.#.######.###.#######..###.###########......##.##..##......##.#.#..........#
##.#########.##.#.###..##.#.##.#.#.###.#..#.#...###.#..#..##...........###.####.#####.###.####.#.##.#.#.###....##.#.#.#........######...###..###...##.#..###....#.#..##.#.###.#.##.#.#.#.#.##.##...#.#.##..#.#.........##..#.##..#..#####.####...##..#..##.##...###.##.#.#.#..###.##.##.####.###.#######..#.#..##...######.########.##..##.##.##..####.##.#...##...#.############.#.#.......#.....##.#....##.##.#######..##.###..#..#..##.##...##.###.##.#...##.#####..#.#.#.##...####.#.#.......#.####.##.................###.######.##.#####.##.###.#.#.#..#.......#####..#.##.#.....#..#.#.#...#.###..#.#.#.........###...####....######.............#...#.......##..##..##.#..#..###.##.....#.####.#####..#.#.##########
####.##.............#.##.....#.#.#.#...#.##.##.##.....##.########.####.#.#.##......################.#.#...##.###############.###....#.#...#.##.###.##.##.#.#.####...###.#..##.#.##..........#.####...#..##.#.##.###.#####.##..#####.#.#....#.###..##.#.##...##.##.#.#########.#.#.##..#.##.#.#.#.#####.#.#####.#..#######....##...#..##.##....##.##..#.#....#####.##.#.##.#...........##############...#.###.##...#..##.##...###...#####...#.####.....##...###...#.#..#########.#####......##.####.#.##.#..#################.#.##.#...##.#.###.....#......#.##########.#.#.##.#####.####.#######.##.....##.#.#.#.###.###.#####....##....#.##.#################.#.####..######..#.##.##.#.########.##......###.#.#..........#
#.#.....#.##.#.##.#....#####.....#.###.#.##..#.######.#...##.###..#......#.##.######.#..................#.##..##.#.#.#....#..#.###.#####.##.....#...#.##.....#.##.####..##.##...##.###.##.###..#####.##.#..#.####...#.##...##..##...#.####.#.#.#.##..#.#..####......#.#.#.#.#.#.#.###......#.#.......#.#.#.#.####..#..#.#.#.####.##.###..##.#..#..##...#.####..##..#.#.##.######.####.....##.....##..#####.#.##.###.##..##.###...#.#.#.##.##.#..##.#######.#.#.#.....##.##..##....#.##.########..#.#..#.#.##..#.#....##.###..#.#..##.###....#..###...######...####.#.#.#.#.##..##...##.#.#.#.##.....#####......#######.#..#.#..####..##...........##....##.#.#.#..#.#####..###.#....##.....#....#.####.####.#.....#.####.#.#
#...##.##..###########.#.#.#####.#.#...#.##.####........####.#.#######.#.#.##.#.##.#.################.###.#..###.#.#.#.##...##..#...##.#.######...#....#####.#.#..##.##.#..#..###..######..##.##.....##.##.#..##..#....##.##..#####..........#.#.#..##.#.###...###.##.#.#.#.....#...####.###.#.#######........##..##.##.#####.#..#...#..######...###.###....##.#..##....#..##.##.#.#..##.###.#######.#####.#.##.##..##.##..#.##.####.#.....#.#.##...###.##.#.#.#.#.####..##..##.###.#.......####...#.##....##.#...####..#.##.#.#.##....###.##.######....###.###..#.....#.#..##.####.##.......#..#.###..######.###...##.#.##.#.#####################..##......######..##.#.##...#.####..#####.####..##..###..#.##.####.######
#.###...#.#####.##.#.#.#.#.##.##...###.......##..#.####.#.#..#.#.##.##.#...##.#.##.#.##.##.##..##.##..######.##..#.#.###..#..##.##.##.....##..#.#.####..#.##.#.#.###.#..#.##.###..##..#.#.###..#.###.##.##.#.########.##...##.##.###.##.####.#.#.#.###...#.###.#####....#.#####.#.######..##.#.#.###.#.#########.##......#.##.##.#.###.##....###.##......#####...####.###.##...###.##..####..#...##..#.#.#...##.##.###..#.##.....##..##.##.....##.###.#.##.#.#.#.#....#.##..###.#.#.#.##.####.####.#..##.####.#.###..#.##.##.#.#..##.###.#.#.......#.####.#..###.#.#####...###..###....#######.##...##..#.#.#.#.##.##..........#...##.###.#.........##########...##.##....####......##.##.##.#.###..##.#.##.#.####.#..#.#..#
######.#####.#..#.............###.##...#.###.#######........##.#.#...#####.##...##.#.##.#...##.....##...##...##.##.#..######..#..#.######.##.#########.##.#.......#..##.#..#...######.....#.#.####.#.##..#......##.#...##.###.#...####..#......#.#...##.##..##...###.##.#.##.##.#..##..#.##..#.............##.......#.####..#.##.#..##.###.###......######.##..###....#.#.##.#####....###...##.#####.....#.####.#......##..#####..##.##.########....#.#.#..#.#.########..##.#.#.#.#.#.#####....##....##..#........##.#.##.##.....###.##..#.#.###########....##.#.#..#.##.###.#.##.#.######.#.#..#.#.#..##.#.#.........#.#.####...####.......#.##.#.##..#..##.##.###..##.###..##.#####......#....##.##..#....#.#.#..##.....##
##..##.#.##..##.#.#.###.#.##.##....#.#.####...##..#..####.#.##.#.#.#..##....###.#..#.##.###.######.#..######.##.#..##.#.##.##.##...#..###.##..#####..#.##...####.##.##....##.#..##.###.##...#.#.#..#..##.#.#######.##.##....#.#.###.#########.##...####.#..##..###.###....#...#.##..##....##...#####.#.#########.##.#......##.##...##...##...####.###.#.##.##.##.###.##...##..##.####.#.#.####..##...#.###.##.#...####.###...###.###.#...##.##.##.###.#.#.##....#.#.###.##....#.#.#.#.....###.#####.####.#.####.####......##.#####....##.#........#.##.####..#.#.#.##.##...#.#.##............#.#######.#......##.##.###.#....######.#.################...###..#..#..###...#.##....###.##.#...#.##...##.#.####...#.##..######
#..#####.###..#.#######.#.#...###.######..###.###.#####.#.####.#.####..###.##...#.##.##.......#.#....##..##..#..##......#..##.####.#.##....#.##.#.##...#######.#.....####..#.####....######.#.#.##...##.......##.#....##.####....##...##.###..##.####.#.##..##..##..#####.#.#....##..###.##..#.....###.#.###.#....###########..#.####.###..###.#..###.........##..#...#.#####.##..#.#.#.....#..###.#####.#.##.#.###.####.#.###.........#..#..#.##.#.#.#....####.....#.#..#.##.....#...#####...##.##..##.......####.##.######...#####.###...########..#.#.##.##.........#.###.#....#.#.######.....#.#.#.#.###.######...#.##.#...##.#.#.#.##.#.##.#.##.##.##.#.##.##.##.#.###..#.####.#..###.######.###..#......###..#.##...##
##.##.#..#.##.#.####....#.###.....#.#.###.#.#.#.#..##......##.....##..##.#..###......########.#.##.#..##.###...##..####.#.##..#.#....#####....#.#..###..##.##..#.#######..##..##..######....#.#..###.##.#.##.###.####.....#.###.#####.#..#.##.##..#.#.#..##.##.##..##..##...##.#..#.##.#.#..##.###.#####.#.#.####..##....##.##.#...#....##..#..##.#.##.######..##.#.###.#.#....##.#...#.#####.##.....##....##.#..##...##....#########.##.##.##.##.#.#.#.####....#####.#.##..#####...#...#.##.###.#..#####.#####..#.......##..###.##....###.#.#.#.##.##....#.#..####.#.##.#.#.#.######......##.##.....#.#.########.#.###.##.#####..............#.#.#...........#.##.#........##.#..#.#.####....#.#...##.#.######...##.#..#..#
#...#.##.#....#.#.#..##.###...#.#......##.......##.#######..#####..##.##.##...###.####.##.###.#.##.#.##...##.#######.......##...####..##...##.#.#.##.##.##..##....#.##.#.##..####.##.#.##.#.....##.#.####..###.#.#..#####.#.###..##...##.#.#...#.##.....##..##..##..##.#..#..####.#.##.#...###.#####...#.#...##.##..###.###.#..#.###.######.##.##.#.#......#####.....##.#.#.####..###.#..#.......#.#####.###....###.###..####...###....###.................##.#.#.#.#.#.###..#..##.##.#...##.#.#.#.##.#.#.....##.#.#######..##.#.####.##...#.........####.#.#.##########............#.#.#.#######.####.#.#.##.##..#...###....#.#.###.####.#####.....#.#####.###..#...#.##.#..#.#.##.#.##.######.#.###......##.#.####...##.##
##.##..#.####.#.#.####....##.##.####.#####.####.#.....##...##.###.##...#....###.#...##..#.#.#.#.####..###......##.####.###..##.##.###..######...#..#.#..###.###.#...#..#.##.###...##.#..####.####..#.#..##..##.....##.....#.#.##..###.##...###.#.##.#######..##..##.#..#.######..........###.###.....#.#.#.####.###..#....#.#.##..##...##...#..##.#.#.######.#######.##.#...##.##.##..#.##.###.#.###......####.###..#.##.#....###.#.##..##.######.#.##.###.####.#...#.#..###...########.###..#.#.#..#.#...#####..........#.###.#.#.....###.#.######.#####.#........#.#.#.###.############.....#.###.#.........#..##.#...#.#.##.#.###..##........#######..#####..##.###########.#.#..#..#..##.##.#.#.#.#######.....#..#.##.##
#...##...####.......####.##...#.##.#.##.######..####.#####......#.####.####.##..#.#####.......#.#.#..#####.###.##..######..###.##..###.#.##.#.#.##.....##.....#####.##.#......###..#.#.###.#....##...#.##..#######..#####.#.#.##.##.#.####.......##...##..#.##..###.#.####.##...######.####......#####.#....##..#.##...####.#.#..###.######.#.##.........###...#.##.....##.##..##..##........#.#######.##.#.#....##.#.##...####.#.#####.#.......#.#.#...####.#....###...##.#.###..#.#####.##.#.#...##.#.####..##.#########..#....###.#..##......#####.......##.#####.#.....#....#..#.#.##.#####..##.#.#####.#...#######.######.#...#.##..#.###.###...###..##.##.......##.#.#...#.#.##.##.##..##.......##..##..#.###.##.##..#
###.####.#....##.##..#####..#.###..#.##.#.#..##.#.##...#...#.##....##...#.#..##.....#.#######...#.##.##..#..#####.##.##.##.#.#..##...#......###..#####.##.###..#.#..##.#.####.#...##.#.##....#######.#.###.##....##.##.##.#....#.##...#.##.#####.#..#####......###.....##...#########..###..#.###########.#####....#.####.#.....##.#.##.##..#.###.########.#.###.####.###...##.##.####.#########.....###....#.#####.#.##.###.##.#..#.#....#.###.#.#.#.#.#.#..##.###.#.####...#.#.##.#.##..##.#.#.#.#.......#.##...#.####...##.####.####..##.#####..#######.##..#.##....##.###.###.##.#..#..##.##..........#.######...#####.#.....###..##.#...###...#..##.###.##.#######....#.#.........#.#..##..###.###..####.###.#.########
#....###.##.######..##.###########.#.##...##......#..#.#.###.#####..#.#.....##..#####...#######...##..##.#.##.##..##.#..#......##..#.###.##..##.##.##...#.##..##.#.##.....#.#####..#.#..####.##.##.#...#....####..#..#......####.###.##..#####...##...#.#.######.#.######.###.........##.##.###......##.#..##.##.#....#.#.#.###......##..##.#..##.#.##.##..#.#.#..##...###.##..##..#.#.#...##.####.#####.##.#.....#.#........##.##.#.##.#################.##.#...#..#....##.##.........##.##.#.###.#.###.###..#.###....###......##.##...##....#.##..#.##....##...#..##..#.##..##...#.#.#####...#.###############.###.#.##....##.########.#.####..#######.#.#..#...#.#.##.###.###.#######...###.##.#####.##.#...#........####
###.##.#..###..####..#.#.###.##....#..##.##..####.####.#######.#.##.#######..##...#.###.........#..##..#.#.#...##.##.##.######.#####.#######.##.#...##.####..##....####.###..##...##.##.......#.#..###.###.##.###.##.######.##.#..#...##..##.###.#..###.#..###.#....#.##..#.#####.###.##.....#..#.#.###...###..#####.##.#.#.#.##.######.##..#.##.....#.##.##...#.####.##....##..##.......#.....##...#..###..#.#####.#.##.#.####......#..##.#...#.#..##.##.#....###.##.#####....####.#.##..##.#.##..#.##....##.#.#.#.####.#.######..####.##.####..#.##..###.####.##.###.######....#.#....##.###............##......##......#.##...#.###.###....##..##..#......##.###...##...###....#.#.##.###...##..##.#.#....###.###.####..#
#...##.#.#####.#.###.....#.#.#####...###.#######...###..##.##..#..#..#.#.#..##..###.#.####.#.#.###.#..##.....###..##..#.....#....##....##.#...#.##.##..#.#..######..##..###.#####.##.######.###.#.##.......##..##.##..##.##.#..##...#..#.##..#.....###..#.##.#.###.##.###.#..##.#####....###...####.#.##.##.##..##.#...........###.#..#..##.#.###.####..#.##.###.#.##..###.###.#######.#######.###.##.###..##..#.##.#..###..##..####...##..#.###.#.##...#.###.##........##..##.##########.##.#..##....######......#...##.#.#.###..##.#..##......##..#.####...#####.#.###.##.######.#.#####.#.##.############.#.#####.##.########.#...#.####.#..##..##.#.#######...#.####.########.#.#.#....###..##..#.#.#.####....##..####.#
##.##....##.#......#####...#.#.##..###.....##..##.##...##..###.##.##.#.#.##.##.###....#..#######.#.#.#####.###.##..##.###.#.##.#####.#....###.#.#...#.##.##...##.#.##..##.#..##...#..#.#.#....#.#.######.#..##..#.###.#.....#.#####.##....##.#####...##.#......#.#.##..#....##...#..##.#########.####.....#.#..##....#.##.###.##.....##.##......#..#.##...##.#.#.#.#..##.#.##...##.#.#.##.#..#.#......#.##.##.##.#....##...######.#..####.##.##..#.####...##...###.########.##.....#.##.#.#..#.####.###..######.###.###..#.....##.##.##.##.###.##..##.##.#.###.##............###.###..##.........#.#.#.##....#.......#####.##.####.#.....########.##.....##.#.##.##.##.#...#.##.........####.#.###.##.#.#.####.####..##.#..#
#...##.####.###.##..##...#...#..##..######.##.###.####.#..##.#.#.................####.##.#####........#.##.#.#.##.##...####....##.####.##.#.......#....#....####....##.##.##..###.##.#.#.##.###....##.#####..##....##.#####.....##..###.###....#.#.###..#.######.#..##.##.######.##...............######.##.#.####.#.#..##########.###...####.###.##..#.###....#.#.#.##.....##.##..#.#.#....##.##.#####.#..##......#####.#.#.#.#..##..##...#..##.#..#.#.#####.##.#..##.##....#######.##...##.#...##.#.#.##.#..#...#...##.#.#####..#...#......#..##..#......#.#.##.#######.#.##....###..##.####.#........#.######.#.###.##...#.#.##.#####.....###.....#.#..#.#.##..#....##.##.####.#########..#.##...............#######...##
###.##..##...##.###.####.###.##.###.#.#.##....#........##.#......####.#.#####.####.#..##.#.#.##.#####.#.##.....##.###.##.####.##.....####...#.##.#####.####.#..##.###...#.##.##.............##..#####...#.#.##..####..##.#..######.##....###.#.....#.##.#....##..##..#.#..#.##.#.####.###.#########..###.##...##.#.####...#.##.#.#...##.##.#.......##.#...##.###......####.##..###...#.#.########.#..##.#.##..######.#.#####...##....##..###.##..#.##.#....##.##.##.....##.#####.#.#.####.##...###....#.##.##.#.###.###........##.###...#.#.######.##.###.##.#......#.#.#.#.###.###...###....###.#.######.###.######.#..#.###....#.##.########...#.#.######.#.##.##.####..#...##..#.###...##.#.#..#.#.##.######.#.#...#.####
#....##..###.####.....####......#.#.#.#.#####.########.#..########.####.#......#.#.##..#.#.#.#..#.#.#.#.##.#####..#.#..#.#.#..####.####.#####.#####.........#.##....###.#.##..####.##.#.###..##...#.###......##.##.##.#....#####.######.##.#######.#.##.#.######..##...##.#.#..#.#.#....#........##.##......####.#.###..###.##.....#.#..##.##.#######.#.###...##.#######.#.##.##.###.......#.##...#.##..#.#..###..#.....#.###.######.###..##..##.#.##.#.#####.#...#.#####..#.#...#.....##..###...##.###.....#....#....##.#######..####.######.###.......###....#.####.#.#####.#...###.#.#.########.#.##.#......##.#....##.##..####.##...#.#.###.#######...#..........#.##.#.#####.......###..#.#.##.###......####...#.#.##.#
####.##.##....#####.#......#.##.#........###..##.#.###.##.##..#.##.#.########.##....##.#.....####........#.##.###...##.#.#.##..##...##......###...####.##.#...##.####......##..##########.#.###.###..#######.##.##....####.#...#.##.##..#..##.#.#............#.#.#####.#..#.##.#.#.#.####.#.######..##.##.###..#.....#.##....##.#######.##..#.#.#.##..#.#.#.####...##.#..#.#..##.##..#.#.#.#..##.##..##.#.#.##.##...##.##.#.#...####.#.#.##..##.......#...##..#.###..##...##.#.###.#######.#.#.####.....##.##.####.#####...##..##.#.#....#.##.#.#.#.##.###..#.####..#....#.#..#.###.#.......##.##.........######....####...#.###.#....###.#.#...#.#.#.###...#.#.######.#..#.##..#.####.##.#.##....######.#.###.##.###.#....#
#.....#.####.##.##..##.#.#####..#######.##.##.#....#......###.#.##....##.#..#..#.####..####.##.#####.#.#...#..#.#.####.#.#..##..##.#####.######.#....#..#####.##.##.###.#####.##.#######......#.#.##..##.###.##.##.####....#.###.#..###.#.##......########.###.#.##..#.#.##.#..#.....#.########.###..####...##.#.##########.###.##.##...###...#.#.#..##.....##...####.##...#.##..#..######.#.###.##.##....#.##.##.#######...##.##.........##..##.######.#####.#.#.#.####.###.#......##.##..#.#.##...#.######..#.##...##..####.##....#.####....#.#.######.####.#..##.#.####.##.#...#.##.#.##.....##.#.###.##.###..##....#.###.......####.#.....#.......#.##.####....##..##.#..##......####.#..#.##..##..###........#.###.#.##
#####.#..#.#..#..#########..###...###....#.#....##...##.#........##.#..#.##.##.....###.#.#...#.#..#..#####.#.##...##.#...#.##..##...##.#..##..#####.#######.#.##.##..##.#.#.#.##.#.##.#..##.#...#.##.##.......#.#..##.####.#.##..#.##.#...#######.....####.#......##.#.#.##.##.####.##.#.#.##.#.#.##..#.###..#........#.#.#.##......###.#.###...#.##..###.####.#.#.#..####....##.##.###.####...#.##....##.#.........#.#.#.###...#########..##......##.#....##.#.#....#.#.#.#...######...##.#.#....#####....##.#.##.#####.#..#..#.##.#......##.#....##.#...##....##......##.##...#...##.###################......########.###.####.##.##...#.#.#.#.##.##.##..##########.##...####.######.#.##....#####.####.########..#..####
#.....#.##.##.##.##..##.###.....#...#.##.#...#.####.##..#######.######....#..##.##.#.#.#.###.#.##...####........###..#.#....##..###.#....##..##.......#.#......#.##.###.#.#.#.##.#.##.##.#..##.##.##.###.####.#.##.##.#.##....##...#..###..##.#.#.#####..########.#..#...##.##...#.........##......##...##..##.######.#.....###.#####.#...#####.#.###..##....###.#.#.##.#####.##.#...#...##..###.##.##..####.#####.##...#..####..##....#..##..###.##..#.#####.#.#.####.#.#.##.####.#..#..#.#.#.##.....###.##.....#..##.#.#.##.#####.#.#########.##..#.###..##.###..###.##..#..#.##.##....#.##.....#.##.###.####.......##...#..#.####..#.#####.########..##.##.##.#.##..##.###..#.##.#.#.#.#..##...#.#.##.#.########.##.###.#
#####.#.#...#..#..##.##..#####.####...##...#.####.#############.##.#...##.##.##.####.....###.#..##.##....##.########.######.##.##...#.##..##.######.#...##.#.#...##..#......#.##.#.##..#######..#.....#####.#.#.##.#..#.##.#######.#.####.###.....#...##..#.#.#.#.##.#.####..###...#####.###..#########..##.##..#.#.#####.###.#..##.#...###..##.#..###.##.####.....#.##..##...##.#.###.#..#.###..##..#####.#...#.####.###.##.#..######.##.###.#.#####....#.#...................#.#.#.###.#......#.#.###....#####.##..#.#.#.##..##.#...#.#....#..#####.#.#.##...#..########...#######..####.#..#####..#.#.....##.#.#.###..###.##.##...##.##.##.##.#...##....#...#....##..#.#.##.#.##.#.#.....#######.#.##.###.............#.#
#..#....###.##.##..#..##.#.....##...#####.####....######........##.#.###...#....#..##.#.##...##.##.#######...###..#...#..#......##.####..##...##..#####.########.#..##.######.........####...##.#.#####.#.......##.##...##....##.....##.....####.##.###..##.....#.#....##.#.##.###.#.#.###.##.##..##.#..###..##.......###..##.#.###.#.####..###...##....#.##.####.##.##.#####.##.#.#.#.#.##.#.##..#.#####..#.###..#.#..##..#.##..#.#.#..#..#.....##.#.#.##.##.##.##.#.#.##.###...#...#.####.#.#######.####..###...##.......##.##..###.....####.##.#.#.#.#....#...##.....###.##.##.###........##.#.#.##.#.#.#.########.##......#.#..###......#.##.#.####.##...###.#####.##.#.##.#..#.....######....#.......##.#####.##.####.#
##.####.#.#.#..###...##..#############.########.###.##.##.###.#..#.####..#.####.#.#####.####.....###..#.###.##.##.###.##.######.#..#.#..#####..#.####...#.#.#....#.###..##..#####.###.##.###.#.......##.#######..#..#.#.#..#.#######.###.####..#.#...#..#######.#.###.###....#.##.......##.....##.##.#.##.##.#..#######.##.##.#.##..#..#.#.##.###..##.###..#.###...#.##.#..##.#........###....##.##.....##.#..##.##...###.##.##.##...##.#.##.######...#..#.##.#######.#.##..##.###.###..##..#.#####...#..#.##.###..#.########..##.##..#####..#.#..........#.##.#..##.##.#....#..#..#..########.......#...#.#.#.##..#...##.#.#.....###..###.####..#..##..######...#.#.#.##........##.###......#.####.###.#.....#######....#.#
##.##.....#.##..##.####.###.............#..#.#..##..##.##.###.##....#.####...#..#...##...#.###.######.#.#...#..##.#.#.##..##......##.##.#.####....#.###.....##.#.....##..##..##.#.#.###........#.#####..#.......##.####.#.####..###..#.#...###.#.#.###.##.####.....#....##.###.#..#.#.####.######.##......##.##..#.##.#.##.#.....##.#.##.#.##.##..##....##...#.##.##..#...##..##.###.#.##..#.##..##.######.#.###.##.###.#..#.#...###.##.#.##.###..##.#####.##.#.##.##########.......##.####.###.#.###.##...##..##.##....#.##..##..###.#.#.#.##.#.#.#####.##..#.##.....######...##.##.##.##.#.#.#######.#####....##.#.####.####.#.##.#.######..##...####...#.##.###.#.#....##.###.##.########.........####.#.#.......######.#
#..######.#.##.##...##..#.#####.#######.##.#.##..##.#...###.#######.#..#####.#.##.######...##..#...##.#.###.#.##..#.#..#.########.##.##.#.#..##.###.#######....###.####.###.###.#.#...####.#.###.#.#.##.#######.##..##..#.#.##.##.##.#...###........#...#.#..#####.####.#..##....#######.#.#.#....#####.####.##.##.##...##.#.###.##.#....#.##.###.###.###..###.....##...#####.#...########.#####.#.....#.#.#.....#...#..#.##.#.###...##.#.#....##.##.#.#.#.##.......##.#....##.#.#.##..#..#.###.#.#.#.#..#..##.#..#..####.##.####..##.#...#..#...#.....#####.#..########.#...####.......#....#...##.......##.####..#..##....######.........#.##..###....###....##..#...#.##....#.#.....#.#.##.#.##.#...#########.#.####....#
##..##.#....##..##.####......####............#..###.##.###..##......##.#.#.#.#.##.##.#.###.###...####.........###.#.##.#..#.#.....#..##.#.#.##......#.#..#####.#.#..##..#.#.##......###..#.#####...#....##.......##.###.....##.#...#.#.###.##.#.###.#.###.##..#..#.#....##..###.###..#.......#.####......##...#.##.#..#........####...##.......##.#...#.##...##.#######.#.#...##.##...#.#...#.##...#####.#...#####.###.##..#.#..####.##...#.##.#...#.....#.#..#######....#######.#####.#.##.#.#.#.#.....###.##.#.##.##.##.#...##..##....###.##.##########.#####...##.##..###.#..#.#######.##...#....###.#..#..##..##.##..####.####.#########.#..#######.##..#.####.#.#######.###...###......############...#.#######..#.####
###.#..###.##..##...#.######...#..#.######.#.##...#.##.##..##..####.............#.##...##......###..####.###.##.#...##.#.##.###.#...##....#.###.#####.##.#.#.###.#.####.#.#.#..####.#.#.##.###.###.#.##########.##..#.##.####..###......##..#####......##.###.##...###.##..##.#.#.##.#.#######.##.##.##.#####.#..#...######.#####.##.###########..###.#.####.##.##.##...#.###.##..#.###.###.#....######....######...##..#.##.##..##..####...#####.##.#####.##.#.####..####..#..####..#...##.....#.#.##.##.###..#.##.#...#.#.#####..##.####...................######...##..#....##..#.#.##.###.###################.......####...#.#.####.####.##.##.##......##.#..#.#....#.##..##.#..####.######..##.#.##.###....#.###...##.#
#.#.##.....###.###.##.##.##..#...######.####.####....#.##.######.#..###.#.####.##..##.########..##.###.###....#.#.####....#...#####.#####.#..##.###...##.#.#.##....##...#.#.#.###.###.#..###.#...#.#.#..##.##....##...##...##.##.##.#.###..##...###.####..#.#.####.#.#..##.#..#.#..#.#...#.##..##.#####..##.....##.###.#######....##....##.#.####..#.....##..##.#.....###..#...##...#.#..##.#.######..###.###...###.###...##..##.##.##..###...##......##.#.#..#....#.##.###.#.###.##...####.#.###.#.####...###.#.##.#.###...##.###.##......###############.#.#.#..##.####...#####.##.......####.##.....#.##.##.#..##.##......#.............#.##..#.###.#########.#...##....##..####..###......##.......#.#.#.####..#..#.#..#
#......#.#.....#.#..#.##.##.##.####.....#.#.....####.#.#...##.#....#########......##..#.##.#.#.##..#.#...####.#......####.#.####.#..#.#.#.#.##..#.###........#####..###.#...#.#.#.###.##..#..###.#...#.##..####.##..#.##.###..##..#.#..###..##.##...##.##.#....#.#.#...##..##.#.#.##.#.###..#.##..#.#.#.#####.#..#...........####.##.#.###.#...###.##.####..##....########.##.##..#.....###.#......##..##.....###....##.###..###..#..#.##...###..###.##....#.##.####.....##.......####..#.#.#####....###.###.....##.....#.###..#.#..##.###...#.....#.##.######.#.##....####..#.......#.###..##.....#####..#..#.#.##...#.#.####.######.#.####....##.#....##..##.#.#.#..##########..##...##.#####..#.#####........#.##.#####.#
##.##.####.###.....##..#.########.#####...#####.###......####.#######.##.#.######.##.##.##.....###.....###.##.####.###.#..#..##..#.##.#.#.#.##.##.#.###.##.#.......##...##.##.#.#.#.#.###...##.#.###....##.#.#...##.####...##.#..#####...#.##..####.#.....####.#.#.#.#####...............##.#..#.##...#...#####.##.############...##.###.#...###...##.#..##.##.####..##.##.#..##.###.#####....##.####.##..#####.##.###....##.#...##.##.####.##..##.######.##.#.....#.#####..###.#..####.....###...##...#.#.#####.##.##.##...##.#.#.##....#.#...###......#.#.##.#..####..##..##.############....###.......##.##....#######...##.....######.###.###..##.#####.#..#...#.###.....####.##.#.####.....####..##.########.#....#.#.#
#..####....#...###.#..##.#.#.##.......###.......#.######.#.#..##.##.#.#....##.##..##..#..##.##..###.####.#.#...##..##..##.##..##.#.#..#.#.#.#...#.#.....#########.#####.##.##...#.#.#...###....#.#...#.###.#.###.#...##..####.##.#.#.##.##..##.#.##.#.#######......#.#########.##.#.##.###....##..###.#.###..#......#.#.#.##..###.....##.#.###.###.##...###..#.#.##.##..##...###...###..#..########.#.###.....#.##...##.####.#.####.##.#.#...##.##..#.##..#....#.#......#..##.####.#....#####.###..#.###.#.##.....#.####..###..#.#..#.#.##.###...########...##.#.##..#.####...............##.#####.########.##.####.##.###.#########.#.##..##.####.#....#.#.#.##.#####.#.###...#...#.###.####.###.###......##...#.#.####...#
####....########...#.###...#..##.#.##...##.##.#......#.#.#.##.#.....#.####.#..#..####.#.###.##.##....###.#.###..##..##..#.#..###.#.#.##.....#.###.#####.#.....#...##.#..##..##.##.#.#.########.#.#.######........##.####.##...#..........#.###.#.#........#.######.#...##..##..####.#...###.###..##.#.#...##.#.####.#.#....##.#...######.#.##..#.#..###...##........##.#####.#.#.######...####..#.....#.#.#####.##.###...#.#.#..#.#.#....###.##.###....##.#.######.##.#...##...#.######...###.##..####......#####...#..##...##...#.##.###...##.#..#.##.##.####.#..##.#..##..#.###.#.###########..###.#.#.#........#......####.#.........#.###...##.##.###..................#####.#####....##.......#..#.#####.#.#......#.###
##...#.#####.#####.#.#.##.##.########.#..#.##.##.#.#........#.#####....##..##.##..#.....#.###..###.###.#...####..##..##.#.#.##...#...######.#..##..##########.##.##..##.#..##...#.#....##..##.........#.########.##...##..###.##.##.####.#..#....##.#.#####.#..##..#.#####..##..#####.###.#.#.##.##.....###.......###.#.####..###...##.#.#..##.#.#.##.#.###..#########.##.#.......##..###..#.##.#.#####.#.###...##...##.##.#.#.##.#.#.####....#..##.####.......#########.##..#.#.##.##..###...##.##.##.#######....#...##..####.###......#.#########.......#....#.##....##..##..##.#.##......#.#.###........##.###...#.#####.#.##.########.#.###..#.#..#.###.###.#.#.#########.##.##.####.##..###.#...##.###...#.#.####.#.#.#
#..#.####......#...#.#.##..#.#.##.#.####....#.########.#.##.#.#.######..##..#.###.####.##..###..#..#.#.#.###.#..####..#.#.#..###.#.###.#.##.#.####.#..###..#..##.###.#..#.#####.#.###.####.#######.####.#.##..#...#.###..##....#######...##.##.####.###.#.#.##..##.....#.##.##.##...###.#.#....#.##.#.###.####.######....#.#.##...####...#.##....#.##....##.###.#.###..##.#.#.#.#..#.##...##.......##...#.#.##.##..###...#.#....#.#...##.##.###.##...####.######...#..##.##.####.##.#..#####.##...#.##.##.#..###.###.####.#....#...#.########.#..##.#######.####.####.##..###.#####....######.....##.###########..#######...#.#....###.#....#.#.##.#.##..##...#######...##..........#.#.....####.##.#####.##.####..#.###.#.#
#######.######...#......##.#.#.#....##.##.#####...##...###......#.###..####....##..#.#.#..##.##.##.#.#.#.##..#.##.###...#...##.....###...#..#..#.#.#.##.##.##.##.#.#.##.#.#.#...#.##...#....#.#..#.#.##...###.##.##.#.#.####.####.##.###..#.##..#.#..##.#.#..##....#.#.#.#..#.....###.....#.####.##.####...##.....#.#.####...#..###.#..#.#..####.#.##.####......#...##.##...#.####....###.####.########...#....##.##.##.##.#.####.##.##..#....#..#.###.#...###.##.##.##...#..##..#..##.##.##..##.##.#..#..#.##...#.###.#....##...#.#.....##.#...###....#.##..#.#.#.#.....##.####..##.#........#.###..#.#.......######.....###.##.###.#.#.####...##....#.###.####.#.#..#.#..#####.#.##...#.####.######.##..##.#.#..##..##...#
####....####.##.#####.###..#.#.####..#..####.##.#....#.########.#.#.##....###.####.....##..#.#..##.#.#.#.###.......##.#...########.#.###.##...##.....##.#..........#.##.#...###....###.####.#.##...#.###.##.......#.#.#.#.....##...#.####...##.##...##..#.##.#####.#####.##...#####.#####.#..##......#.###..##.####.#.##.###...###..#.####.###.............######.####.#..#############....##..#....##..###.####...#.#...#.#.#.##.....##.#.####.##.#.....###..........##.##.####.#.##...#.##.##...#.#.##.##.####.#..##...#########.#.#.####...###.#.####..#.##...#.##.#####......##..#.#####.####.##.#...#.########.##.####.#.##.#.#.#.#.#.#..#######..............#.#####.#.#.#####..######.#..#.###..#.###.#.#.####..##.##
#..#.##.......####..#.#.#.##...#..##.##..#.#..####.#.#.#........#...#..####....#.###.#..##.#...##........#.######.##..###...#.##.#.#.#.#.##.####.#.#..#.#.########.#.##.##.##...#####..........##.##..##..####.##...#.#.#####..##.##.#..###.....###..##...##..##....#.##..###.##.##.###.....###.######.#.##.......#.#..#...##.##.#.##..##....##########.##....##...#.#.##..#.##.#.##.###.#####.#.##..##..##..##..###.#.###...#..####.##....###...#.#.#####.#.#####.#######...##..#..##.##..#..##.##.#....##...##...#####.####....########...###.#...##.#.##.##.###.#......#.##########.....###.##......#######....#..#....#.#.##.#...........######.#.#.###.###.#.##.#.##.......#.##.###.#.....##.#.##...##....#.##...###.##
##.####.#.#.#..#.##...#.#..##.##.##...##.#.##..#.#######.######.###.##.#.#..####.#.####....#.###########.#.#.#.#...####.##.##.#......#.#.##..#.######.#.######.#.#.......#.####.#.#.##########.##.##.##..###...##.#...#...###.##...#.#.########.#...#####.#..##..##.#.###.#.#.#...#...####.###....#..#.#.#####.####.#.##.###..#.....#.#####.#####.......##.####..###.#.##.##.#..#..#.#.#...##..#.#######..##.##.##.#.#.##..###.##.....#.####.##.##.#.#...........#....#.####..#.##.##...##...##..#....####..###..###..##....#.#####.....##.###....###..#.##..#..##.#.######.#...#....##.#.###.....##.#.........#.##.##.####.#......#.##.#.#.##..##....##############.#.####.#####.#........#####.......####.####..##.##.#..#
#...#.########...####...##.##.#...##.##.....#.##.##.#.#####.#............##...##.#..#.####......###...##.#.#.#.###..##...#.##.#####.##.#.##.##..#.#...#.##.....#.#######.#..##......#..###........##.###...##########.#.###.#..###.....##.#.#...#.###.##....######.....##.#.....###.###..#.#.##.###.##.#..##.#.####.#.##.#.##.###.###..#.##.##..##.###.######.##..##...##......##.##...##.####.....##.#..##..##..#.#.#..#.##.#..##.####..###..#.#......#.#.##.#.#######..#.##...#..####..##.####...##....##.##..##.##.#..#.##...##..######...##.###.##.#..#.##.###.#.##.#.#.#.#...##..#####...#########.#####.####........#.#.##.#.########.#..##..######.###...##......##....#.#...#########.##.#####.##.#.#####..#.##.##.#
###....#.###.#.#......#..#.##.##.##..######.#.##.......##.#.####.#.#.#.#..#.###..#.##..####.#####.###.#..#.#.#.#...#####.#.#..##.#..##.#.##..##.#.###...##.###.............##..##.###.##.######.#........#.##.##.#.##.#.#...##..##.#####....###.#.#.#.#..####..####.#####.###.#####..###.#...##.#.#.##.#.###......#.#.##.#.##......#..##.#...##..###.#.#.##.#.###..##.###.#######.#..####..##..######.#.##..##..##.#.#.##..#.##..#.#....##.##.....##.#.#.###..###...#.#.##.#..###.##....##...##..#.####.##..##.##..##...##....#..#.####..#.###...##..#.#.##.##.#..............#########..####.#.......#.....###..##.#######.#.########.#######.###......#.#.#.#####.###..##.###.#.#.....#.##...#.#..#####.#....##.##..#.#..#
######.#..#..#.##.#.#.##...##.##.##.##.#......#######.##....##.##########...#.##.#.###.#.##..#.##..#..##.#...#.###.##..#.#.##.##.##..#.#.#..##....###.############.#.####.##..#####...........####.####.#####..#.#.#....#.#####..#.##..####...#...#.#.#.##..##.#.....##.#.#.#...#.#.##...#.###......##.#.#.##.#####.#.##.#.#####.###.###.##.####.##..#.........###..#...#.#.##..#.##.#..##.###....##.....#.###.###.#....##...##.##.#.##.....###.########...##.###.###.#....##..##.#####....###..####.####..###..##.###.####.######.##.##....#..#..##.........#...###.#.##.#.####.#.##.##..##....#########.#.##..##..#..#.##.#...#.##....#.##....##.######.#...#.#.#.#.#####...#...#.#####....###...##.#.#.#.#####.##.##.##.#
#...##.##.##...##.########.#.........#.######..###....#####.....#.#.#.#.###.#.#.....##.#.###.#..##.#.##..###.#.##...##.#.#.##.##..##.#...#.#####.##.#.##.##....#####.#....#..##.##..#.###.#.#..#.#...#####..##.#.#...##....##.##....##..#####.##.##.#.#..#.##..####.###.....#.###.#....#....###.###.#......##..#..#.#.##.#...##..##....#.##.##.#..##.#.#########.#.##.###.#..##.#.##.#.##..#...##..#####.#.##..#.#.#.#####.###..##....#########....##.#########.#.##....######.....##...#.###..##.#....###.##..###.#.#....#..#.###..#.##.##...#####..##.#.##...#########..#....#...##.##.##..####..#...########.#..##.##....#.#....####.#.##.#.##...#.#.#...#..........#.#..#.#.#####.##..##.###.####.#...#.##.#...#.#..#..#
###..........#.##.#..........####.####.#.#.##.##.####..##.#####.#.#.....#.#.#.####.###.......#.###.#..##.###.#..##.##..#.#.#..##.##..###....####....#.....####....##.##.#.#.###..#############.....###...##.#....#######.####..##.#####.#........##...#.##.###.##...#.##.#.##.##..#.#.##.####.#...######.#.##.##.##.#.##.#.###..####.###..#..#.##..#.#..#.#...##.#.##.#.#.#.##....##.#..##...###########.#.###........##.....##.##.#####...##.#.####...###.#.#.......#.##....#.########.###...##....####....##.#.#.....#######.#.#.##.##..#.#....##.########.###....#.#####.####.####.##..#.##.##.##.###.#.#.#..#.###.##.##...###.##.#..#.####....###.....#.#.#.##.#.###.#.####..#.#...#.#####.#......###....#.#.###.##.#.##
#.####.#.###.#######.###.##.##....#.##......#.#...##..##..#.....#.###.#.....#...##...#.#####...#.#...##..#.....##..###.......##...##...####..#.##.#.#.#####....##.#######.#...##.##..#..##########.##..###..##.#....#....##.##.##.#.##..########.####...##.#.#..###.#.##.####..##.#####....#....######.#.#.##.#........#.#.#.##.#.##.#.##...##.###.....##...####.#.##.#.#.#.###.###..#.##..###.#.#.#...#.#..##.###########.###...#..##.#.####...##.#.###.......#.###.#..####...##...##...###.##..####..####.##.#.#.##.####...............#########.....#.#.......##.......#.........#..##....#.#.............##.....#.....#########....##..##..##.....##.#############.#.....##.##.#.###...##....######.#.####.#.###.##.#..#
#.###..########.#######...#####.#.#.###.###.#.###..##.###.#####.#..#..#.#.#...#.#..######.####.#.###.###.###.#..##..##.###.#..#.#.#..#......##.####.#.#...#.#####..###.#....####..##.##.#.#.#.........##...########.####....##..#.#..##..##.##......###.##.#...###..#.##..#.#.##...#.###.###.##.#.#.#....#.#....#.#.#.##.#.#..#.#.##....##.##...##.###.#..#####..#.##.#.#.#..#....##.#.##.##.#.#.#.###.#.#.##....##.##.#.#...##.##.##..#..##..#........#.#.##.##..#######....#..##.#####..##..##.##.##..##...#.....##.##...########.####.#.#.##....#####.##.##.#..##.################.##..####.#.########.#.##..#####.#####......####.###.##..###.###..###.#.#.##..###.#.#####.........#.####.######.##.#.###..#.#.#.#....##
#.#.######......#.#.#...#.##.####.#..##.#.......##.....##.#.....##.##########.####..#.#....##....###.#.#..####.##..#######.##.#.####.######.##..##..#.#.#######...##.....##.##...##..##...#.#####.########..#.#..##.##.##.####.##.#.##..##...####.###.#.##.###.#.##.#.##.##.#.##.###..##.###..###.#.####.####.#####.#.##.#.#.##.#.#..####...#.###..######.#.#.##.#......#.##.#.####..#.##..#.#.....##..#.#.###.####..#.#.#.###...#..##.#.###.#####.#.#.#.####..####.#.#####.###.##.##..#.##..##...#.#..#####...#####.....#........####.###.#....#.####.#.#####.#.######..#.##.##..#.#..##...##.#.......#######.####....##.##.#####...........##.######.......#.#..##.#.........##.####....#.#...#..#.##.....##.....#.#.#####
#.#.##...####.#...#.#.#####.........##########.#######....#####....#.#.#.#.#...#.##.#.####.###.###.#.....##.##..##.##.##.####....#.#.###.......####...#.#.##..###..########.###.##..###.#...##.#..#...#.#..##...##......#..##..##.#..##.###.##.##.#.#.#.#..#.#...##....#.##.#.#....#.###...##..##.#.##....##...#.######..#......#...##..#.#.....##.#.###..#...##...#.##.#.........##.#.###.....#.#####.#.#..##..#.#.##.......###.#.##....##...##.#######..#.#.##..........#.#......###....##..#.#.....##.##..#....###.##.#####.#####....##.#.#.#####.....#.#.########...##.....#.##.#.##..####.#.#######.#.#......###.##...#.#..######.##.##.........#.#.#.###.#.##....##.###.###########.....###.##..##.#####.#####.......#
#....##.##.######...####.##########.#.##.#.#.#.##.#..####.#..#..##.........###.#.#..#..##..#.#..##...#.#..#.##.###.##.##..##..####.###.#.###.###.####.#.#..#.##.##..###............##.####.##..##.#.###...#####..######.#.####....#.##..#...##..#.#.#...##.#.###.#####...##.....##.#.#.#.#.##.##.....###.##..###..##.#..##.#.####.###..########..#.#...##.#.######.#########.#######.#.#.#.#######.##....##....##.#....#.#.###......##.#####.##........##...#####.####.####.###.##.#.####....####.#####..##.#####...#.##.....###.##..##......#...#.#.#####.....##.##..#####.####..#.#..##..#.#.#.###.##....##.#####.#....###.#.##.##...#####.####.##########........##..#..##..#.##..###########..##.##..##..........##.#.##
####..#.#...##.####..##.....####.##.#.#.............##....##.#.##..#.#.#.#.......##...####.....##########.#.##.#.#.##.##.##..###....##.####..#.#.#.#..#...##.#..##.##.#.#.#.##.#####..##.#..##......#.##.##.#.##.##.....#..##..####..##.###..##.#.#.##.##..#.##...####.#####.#######.#.#.#..#..##.####...###.###.##..##..#.####.#...##.#.##.#.#.##.#.####.#..##.##..##.#.#.#.##.##.#.#........#.#..#####.###.####...########.##.###.#..###......#####.##..####.#.....###..########...##.#.####.#...#..##.##.....#.###..#.#.#.##...#.#######.######.........#####...#.##.##...####.#...##..##.#.#.....##.####..#.#.#.#.##........#.##.#.....#...##......##.#..#.#.#.##..#########.###.#.........##.##.###.##.##.###.#.#######
#..##...###.##.#....#######......##.#.#########.#.#..####.#..##############.##.#....#..#.#####.#..##..#......#.#.#..#.##....##.####.##.##.##.#.#.#.##.#.####.##.#..##.########...#.##.#..##..###.##....#.##...##..#####.#.##..####..##..#.#.##..#.#.##..##...##.###....#.##....#.##..#.####.#.##...###.#..##.#.#..##..##....#.#.#.####...##...........##..##..#.#..##..#.#.#.##.##.....####.#.#.#.##..##..##.###..#......##..##.#####.##...##.#.###.###..####....########..##....###.##.#.##.#...###.##..##.###.##############..#......#######..##.###.#.#####.##.##.##..##.##.#....#####.#......######....##..........##.#####......#######.#..#.#.#.###.#.######..####....##....#..#.##########..#..##.##.########..###..#
##.##.#..##.##.###.##..#########......#.#.##.#..####.#.#....###.#...#.#.#....########.##....##.#.####.#####.##.#.##.#.####.##..###.....##.##.#.#.#.#.....#.#.#....##..##.#.#.#.###..#.##..##.##..#####......#####..##......##....##.###...#.##.##.#..##.####....#####.##..#.####..##.#.##...#.#..###.####.##.#...####....####.#....#.##.#######.#.#######.###.#.#.##..##.#.#.##.##.###.#.######....##.##.##....##.##.##.####......###.##.########.#..#..###.##.####....##.######.##..##.#.#....#####..##.#...######..#.##.#.###.##.#####...#.##.....####.....#..#....##.##..##.#.#####.#....##.#........#####.####.##.#####...##.###.....##############.#......##..########..##.###.##.##.......##.#.###.##........##...##.#
#..#####.......#......##..##.....####.#.#.#..####........##...#.###.....#######.......#####.##.#..##..##.....#.#.##.#..##...##...#####..#.#..#.#.#.###.###...####.##.###...#....##.##.##.##..#####.#.####.###.#.##.#####.####.####...####......##...##...####.###.##...##.....##.##.....###.#...##.#..#.#......###..####...#....##...##.#..######.##.#.#...#.........###.#...##.##...#.#..##.#..#####.##..###.##..#######..##.#####.#..#....##.##.#.##.##.#.#..##.##.###....##....##.##.....##.....#.##....###.#....##..#.....####.......###.##.#####.####.#...##.#.##...#.##..........##.############.####......#..#....#..###..#####.#........###..##...#.#.####.....##...##....#..#.##.########.#.##..##.##########.##..#
##.#.######.##...##.#..##..##.#.###.....#.##.#.######.#.##..#....###.##..###.#..#####..###..##...####.###.##.#.#.#....##..###..###..###...##.#.#.#.##....##.##.##....#.###.###.###..#.#...##.#.##..........#....##...###...#..###..#..#.######..###.##.###.##.##...##.#####.####..##.####.#.#.####...##.#.##.###.##.#.##.###.#######.##.#.##..#......#.###...#.#######.#.#.####....#####.##..#.####.#....##.#..#.##.##.#..##.....##...##.####...........#.#.#.##...#.######..####....##.######.#####.##.####.....######...#.#.##.#.#########.##.#.##.....#####.#..####.###.##.########...........#.#.###..##.###.#######...##.##.#...###.###.#.##.##....###########.##..###.###.###.##.##.##.#.##.....##.#.....#.....###..##
#..#..##..#####.######.###.######...#.#......#.#.#.########.###.##.####.##.....###....##.##..###..##...#####.....####..##.#.##..##.##.#.#.##.#...#..##.###..#..###.###.###.#.#.##..##.##.##.....##########.#.####..#.....#.##.#.#####...#.##...##.#.#...##.#...##.##..##..#....##..#..##.......#...#.##....#.##..##...##.....###..####.....##.###.####..#..#######.#.#.#.#.#..#.##.##.##..##...##.#.##.###..##.#.#.....#.##..##.#####.#..#....##.##.##.##.#.#..#.#.#...##...##....##....#.##.###..##.##......#####.#.###.######..#.##...........#....#.###..#####..##............#...###.#.#.#.#......##.###..##...#.####.##..##...####...######..#..##..#.######.#######.#.#.#........#........##.####....#.###.###..###..#
##.#.##..###..###.##....##.#..############.#.......#.#.#.####......##....#######.##.#....#..##.#.#####.#.#.###.#..#.#.##..#.##.##...#.###.#..##.##.##..#.##.#.##.#...#.#........##.#..##..####.##...#...........########.#.......##.###....###..#.#.##.##..##.##...##..##.#.######...######.####.#######.#######.##.####.#####.#.##..##.####..###...###.##.##.##...#.#.#...#.#####.##.###..##.###.......##.###...#.#####.#..######......##.####...#######.#...##.###.######.###.#.#####.......##.###..#.######.##......#...#..##.#....###.####.##.######.##..###..###.############.#############.####..#.....##..###...##..#.####.##..#####.#..##.#.####....#.##..##..##..#.#...##.#.###.#########..#.##.###..##.####..##.##
#..#.#..###..##....####.##.#.##.##...#.#.#########..........###.##..####.....###..#.#.##.##.#.....#.##.#.#.#.####.#.#.###.#.....###.#.##..##.#...#..##...##...##...###...##.#.#.#..##..##.#.##.####.#######.#######....######.####...#####.#.##.#.#..#.##.##..###.##..##....##.#.#.###.##.....##..#.##.#.#...#.#.##..##.....#.....#.##...####.#...###...##..#..##.##.#.#.###..##.#.#...#..###.#.##.###.###..#..###..###....###.#.##.#.####....##########..#.#..#..##..#..##...#####.###.####.##...#..##.#.#.##....######.###.##..#.#.####..#####......##.#..##.#.###...#.#.###.###..##.##.#.####...###...##.######...#..##......#..##...##....###.#....##.###..##.#..####...#.#.######.#.###.#.#.##...##.####.......####...#
##.#.##.#.##.#####..##...#.#.##..###.......##.#..#########.##.#####.##.#####.#.##.#####.....#####.#.##.#.....###..#.#..##...#.#.#...#..##......###.#####..#.#..###.#.##.#######.#.##..##..#.#...##..##.#.##.#.#.#...##..#.###....##.##.#.#.#.##.#.##.#.##..##..#..###..####.##.#.....#.#..#.####.##..#.#.#.###.#.##.##..#.#...#.#.#..#.###..#.#.#.#.##.####.#.##..##.....#.#.##..#...###.###....##.#####.#.##.##.#.##.####.....#.####.##.#.####.#.#.##.##.#.####.###.##.##..#.#..#....#.#########...##.........#.###..##.....###.#.###..#.##..##.##.#..#.##.##.#.#.###.#.#.#.......##........#.#.#...##.##...#.#...########.########..###..#####..#.#########.##..#.###.###...###.#.#......#...#.#..#.##....#.#.#.####.##.##
#.....#.#.##..#.#..##..#...#..##.####.###.##....##.........##.#####.#...#.##...#..##.###.##.........##.#####...##.#.#.####.######.#...#######.##....#.###.#.##.#......####.#.##.#..##..##.....#####....#.#......#.#.###.....#.####..##.............#....##....##.##...##.#.....##.####.##.#####...##.#.....#.#...##.##.########.####.....##...#.#...##..##.....##.#..#####.#..##...#.#.#.#.####......##....##.#........##..#####..##.....#......#.#.##.#.....#.#.#.#....###.####.####.#.....##..#.####.############..###.#####......##.#####.###..#.####....##.#.#.##........##.##....#.####...#.###..#.######.###.#..##..........###.#.##..##.##.#.#.#.....#.###.#...#.#####..##.....#.##...#.#.#.####..##.########.#.....#
##.##......##.#.##..#.####.#.##..#.#..#......##.##########.#..#.##....#.#.####.##.#..#.#.#########.##..##..###....#.#..#.#.#.#.######.#.##.#...####.#.#...#..######.###..#.#.#..#.###.#######...##..##.....##########.#####.#.##.#.#####.#.#######...#######.##...###.#..##.####...#.#.##..##.#.###..#.#.###.#.####.#..#.#.#.#####.#.########.#####..#.####.##.##.##..#.##.#.##..###.#......#...#######.##......####.###..####.#.##..#.###.######.#.#..#.#####.#.#.#.####.#..##..#......#######.....#...##.##.#.#.##.#.#...##..#.##..#.#.#.#.....######..####..#.#.##.##.#.#.##..##.###....#.##########...###...#....##..#.###.##...#.#..#.##.........#.#####..#..#.###.#..#..###.########.#.###.....##.######..###..#.#####
####..###.##..#..#.#######.#..##.#.#######.#.#..#.#.######.##...###.###.#..#......##.#.###.##....#..##.###...####.#.#.##.#.#....##.#..#....#.###..#.#.#.#.##..##.....###.#.#.##...##...##.#...########.#.#..#...#####....#....##.#..#..###.#....#..###...##.....####....##...#.###.#.#.#..###.#..###.###...#.#..##..#.##.#.....#........#.##..##.###....#.#..####.###...##.#..##.#####.######.###..##.#####.###.#.####.##.........##.####.........#.#.##...........#.##.#.#.####.#####.##.#####.###...#....##.....##.#.#.####.########.#.#.#.#####.##.##.#..##.#.#.....#########..#...#.#.##.....#....#####.###.#.######.#########.##.#.##.##.#########.##..##.#.##..##.##.##.#.#.#.#.##.###..###.#.##.....##..##.##.#.#...#
#.#####.#.###.##.#..##.#.#.#.##.....##.#...#.##..........#..###.#.#####.##.##.#.####....#...####.#.##..#.###.............#.#.#####.##.####...#.#.##.#.###..##..#####..#..#.#.###.###.###..###..##.##...#.##...###.#.####.####..#.#.##.##...####.##..###.##..#####..###.##..#...#.#...#.#.##...#.##....##.###.#.##..##......#####.####.###..##.##...###.##...###....##.###....##....##......##...##..#.##.#..#####...##....#########..###..#########......###########..#.#.#..##..###........##....##.###.######.###.......##.....#.###........####.##....#.##......#.#......#.####################.####..##..##.#......#####..#.#####....#..#........#...##.##.#.#..###.##.#..............##.##.#.#####.######..#.#..#.#.###
#....#....#.#.#..##.##.#...#..#####.##.##.######.#.#####.#.##.....##....##.#..#....####.##.###......##.#.#.##########.####.#.#.#.#.##.#.####.#.#..#.#.##..##..##.####.##...#.#.#.##...##.##.##.##.###########.#.#.#.##....#.##.#.#.##.#########.###.#.#..##.###.##.#...#..##.#.#...###.#.####.#..##.###..#...#..##.#..#.#.##.#.#....####..##..####........###.###.###.#.##.###..#####.#.#####.####.##..#.#.##.###.#######.##...##...##.##..#.#.##.#.######..#######..##...#.##..##.###.####....##.####.###.##.....#.#####....#####.#.#.##.#.#....#....####.##.#.#.#####.#.#.....##.##.##.#.##.##.#....##..#.###...########.##...#.#.#.####.##.###.####.###...#.#...##.#.#....#.#.#.##.#.#######....#.#.......##...#.##...#.#
####.##.#...#.##..#.#..###.#.###.#..##..####...#####.......######.####.##..####.####...........###.##..#.#.#.#.##.....#.##...#.#.#.#.........#.#.##.#..##..##.##.#.#..####.....#.##.#.##.##.#..##..#.########.....#.#..##.#......#.##.#.#.#.....#.#.#.##.#..#...##.###.#.#####.###..##.#..##....##..#.#.##.#...##..#.#######...##.####.##.##.##..#######.##....##.#...#.#...#..#####..#.#.#.#.##.#.###.#..........###..#..##.######..#.##.##.#.##.....###..##.......#####.#..##..#.##..##.#######...#....#.#..#####.#.#.####...###.#...###########.#####.#.#..#####.#.###########...........#..#...#####.##.##..#...#..#.#....###..............##..###.#.#.#.....###....##.###.########....##...####.#.#########.##.#..#...#
#.#...#####.#..##...##.#.#.#.#...##.###..##..#..#.####.#.#...##.....#...##.#.#..##.#.#.#########...###.#.....#..#####.#.###.##.#.#.###.#####...#.#....###.##..#..#.##.#.######.#.#..####.##.##.#..##.#.#.##.#.#.###.#####.######....#.#...#####.....#.##.##...###....#...##.#####..##..#.####.#####......#.#######....##.##..###.......##.##..#.##..#.....##.####.###...#.###.###..##.###......#.#..##...###.#.##...##.##........##.##.##.##.#....##.##.#.###.#####.#.#.#.#.####...###.....##.#.#.#...####.#.###.#.........#.###.#.#.###....##......##.#.#.##....##...##.#.#.##.##.##########.##.###.##........##.###.##...##.....##.#####.#######.#.#.#.#.#######.##.####...####.#.######..###.###..#.....#.#.#.#....####.#
#.#.###.....#.#####.#..#...#.#.###....#.##..###......#######.######...###....##....#.#.#...##.#..#.......###.##.#.....#.#.#..#.#.#...#.#######...##.####...##.##...##...#.##.#.#.#.####..#..##...##..#.#....###.##...##....#.#...####.###.#..######.#.##..##.##.####...###..#.#.#.####....##..#.##..#.####..#...##.####..##.#####.######.....##..##.####.##...##..#.###.#.###...#.##...##.######...#####...#.#..##.##..##.#.#.####........##...########.#......#.####.#...#...###.##...#####....####.###...#.#.....#.##########..#.#.....##.##.#.####..#.#..#.######.##....#.#........#.#.........##....##.#.####........#####.#.###....##....#.####.....#.##.##...##..##..#..#.#.#...##.####...#.##.#.#####.#.....####.##.#
#.#.#.##.##....##...##.#.#...#...#.##....####.####.#.#....##.#.#.#..#...####.#..####.###.#....##.#######.#........###...#.##.#.#...#####.......###...##..####..###..###.#.#......#.#..##.##..##.####.#.####..##.##.#######.#.###.#.##..##.##.#.####.#..#.##......#####.####...#.#.##.#.##..##......##.##.#.##.###...#.#.##..##..#..##.###.#####.##...###..##.##..##..##.....#.###.###.##......##.###.#.#.############.##..###..#.#.######....###.##.##....######..##..##.##.###...####.....##.####.###.###.#...#.###..#.#..##.##.....#########.####.#.##.##.....##......#.##...#.#.##.....#.#####....##..######.#.########.#.###...##.#.##.##.....####.###.#...###.##.###.###.....#.###...#.###.#....#.##.##.#.#######...#.#
#...#.#######.##..#....#####.#.#######.#..##....####.##.#........######.#....##.#.#########.#....#.......#.#.##.#.#...#......#.#.####.######.#...##.##..##.#..###..##.#...#####.##.##.....##....##...#.##.#.##...#.##..#...#.#......#.##..##........##.#..####.###.#.#....#.#...#.##....#######.#######.....#.#.##.##....##..##.##.#...#...##.#.####.#.##.....#.###.##..###.#..#..#.#..##.######..##.#........###.##...##..##.##........#.##......#.#..#.##.#####..##.#..#..#.##.##.#..###..#.......##..##...###...##.....##.....#.#...###.#....#.#......###.#####.####.#.#..#.#.######.#######.###.#######.#.#.###..##........#.######..#.##.#####.##.#.#...###...##...#.#.#.##.##.#.##.##.#.#...##.......#....###....#####
###...#.#..#...#######.###......#.#..###.######.#.#..#######.###.###....#.##.......##..##.###.#.#######.############.###.#.#...#.##.#..##.####.###.....###.#.##.##.#..###....#..##..####.####.######.#.......##.##..##.###...####.###.###.###.#####....#.##.##..##.#.#.######.#.#..##.####..###....#.###.####.#.##....####..###.##...###.####.#.#.......#####...#.#.#..#######.#.##...###.#.##.#.###.##.#######....##.##..###.####.#########.#.#.##...####......##.##.##.#.##..#.##.##.######.########.##..#####.###..#.#####.######.#...#.##.###...#.####.#..##.#.#.######.#######..##..........#####.#.#........##..#.####.###..##.#####.######.#.##.#...###.##.##..#.....#.#####.#.##........#.##.#.#####.####...#.######
####.##.##.###.#.#.#...#.#.####.#.##..#..#.##.....##.#.##.######...##.#...####.###..##.#......###.##....#.####..######.#######....#.##....#.#..#.#####.##..#.##.##...##.####.##..#.##.#..#.##.#.##.#.####.####...##.##.#...#...#...#...##..######.####.#.##..#.###.#...##.##..####....##.#.##...##....##.##.#.#....##...##.##.#.##.####..##.#...##.####....##.###.#.#.##...##..#.##.###.#.#.#..#.##..#..#.##.#####.#.....##.###.#...#.##.#.###.#.##.###.##.#.#####..#.##...##.##.##.#.....##......##.#..##.#...#...######.###.#.#.########.#....#.######...#.###.#.#..##.#....#.....###.##########.##..#.#.#########.##...##..##.##...##.###.##.#.#.##...#.###..#.##.###.######.#.#......#.#.#.#######............#.#....#.#
#.#...#.#..#.........#...#.#....#..##.##.#..#####......#..#......#..####.##.#..####.##.##########....#.##..#...##.#.#..####.###.###..#.#.##.##....###...##.#.#..####............##..#.##.#..#.#.##...##.#.###..###..##.#######.##.##.#####.#.#.....##..#..##.#.#.#.#.###...##.######.###.#..##.#########..#.....#.########..#...##..#.#.##....######..##.###...##......##.##..##.##.#...#.....##..##.##....#..###..#.###.##.###...#..........#.#.....#...###.##..##....##.##...#.##...###....##.#..#.#.###.#.#######.#.#...#........#.###..#.####..#.#...###.......#.##....##...#####.##########.#.###...#.##.##...#.##.############.##..##...#.#.#.##.#####.##...##..######.#..#.#.##.#######.#.#..##.#.###.#.######.####.#
#...#...##.#######.####.#######.#.##...#.#.##.#.######.##.########.#######....##....##.##....#..#.#.######.###....#.#.##.#..#.#...##.#.####..##.###.###.#..#.#.##.##.##########....##.##...##.#.####.##.......##...###..##........#...##.#.#.#####..##.#.##..#.#.....###.####...#.##.##....###...##..##..##.##.##....###.##.#.#####...#..####....##..##....##.###.##.###.....##.......###.#####..##..#..####.##.##.#.#.###..#.#####.#############.####.####...##.##.####...#.###.##.########.#######.#.#.#......###....###...########.#.##....####.#.#.###.#.#####......#######.....................#..#.........###.##......##..##..##.####.##...#.#.....##..##.##..##..#.#.#.##.#.#####.#.##.#...###.#...#.#..##.######..#
#.#.###.##.........#....#.##......####...#.#....##.#.#.##..#..###...#.#.###########.#..#####.##.#####.#.#...#####.#.#.##.##.....###.....#.##.##..##.#.....##...#..#####.#.......####...#.###.....#.#..##.#.##..##.###..##########.#.####.#.#.#.##..##..#..##.#...#####.#..##..###..#..###.##.#.####.####.#...#####.#.#.#.......##...###.###.#.######..###.##..#.####.#.#.##.###.####.##.#.###.#.####.##...##..#.#.......##.##.#.###...........#.#####...##..#.#........#.#.#..##..........##.#..###........#.####.##.###.#.#.#.#.#.#.......####..#.#.#.....#.....##.#.#......####.##.##.#.#.#.#.#####.####.#####.#......#######.####.#...##...##.##.#.#####..##...##..#.##.#.#.#..#.#.#...#..###.###.###.###.##......##.#.##
#.#.###..#.############...#####.###..##.##.####.#......###.##.#...#........###......##..##.......#.#......#...........##..#####.#.####.##.##.###..#.#.###....#.#.##.#.....#####.##.##.##.#.####.##.##.####..#.###.....##..#.##....#.##...#.#...##.####.#.##..#.#####.....##..##.##...###..#.....#.#..##..#.#####.#####.#####.#####.###..#.........##.##...###.#..##..#...#####..#.##.##.........#.#.....###..##.#.###.####.##.#.#.##.####.#####.....#.#######.#.####.#.###.#.##..#.##.#.#.####.##.##.#.#####.##....#..##.###.........#.#.###..##.......#.#...##########.######.###################.##.#.##.#...###.###.####...#.#.##.#.######..#.##.......##..##.##..##.#......##.#.....#...####.#.#..##...#..#.#######....#
#.###.##.####.###.#..###.##.#.#.#.##.....#..##..######..##.#..#####.#.####...####.#..#.######.##.#.#########.###.####.##.##.#.#....##..##.#..#.##.#.####..######..#.#.#####.#...#..##.#.....##..........##.####.#####..##.#..##.#.#..###.#.###....#....#..##.......###.####.###.####...##.#.#.###.#.####.#.#.#.#.##.##.##..#...##....##.#####.#####...##.##.#...##..##.#...#.##.#.######.########.#.##.##.##.......##....#.#..#.#.#.....#####.####.##.#.##.#..#.##.######..#..#.#######.#.#.##..#.##.###...#..#.####.###..#..#.#.##.##.#...##..#.##.########..#.#.##..#.........##.###.#.#.#.##....##....###.###....#####...###.#.##......##..##.##.#########..#..##..#...###.##....##########.#.....###.######..####.##.###
#.##......##..#.#.##.#......#.#...#####.##.####....#...###.##.#.##..####.##.###.####....##..####.#.##.#.##.###...#............#.######....##.#.##....#.##.#..##..##.####....###.##.##.#.######.###.#.#.##....##..##.#.##....#####.#.##...#..#####.####.##..#.#######...##.#.#.....##.###....#####...##...........##..#..##.##.####.####.##.##...##..#....##...####.##..#####.#..#.#.#.#....#..##..#.####...##.##.####.####.##.......###........#.#..#.#.#..##.#.....#.#.##.#.##.#.....#####..##....#...##.#####....#...##...##################....#####.#.#####......###.#.#.##....#.#........###.##..#.###..#.##.###.....####..#.#..######..###.##.....##..##.#.###.##.#########.###..#.###.....#.###.#......##...........#
#.####.##.###......#.###.##.#.#.###.#.#..#.##...##...#.#.#....#..#.##.......##...#.###.##..##....#.#.......###########.######.#..#.#...#####.#..###.##.##...###.###.##.####..##..............#.#...#.#..##.###..###...#####..#.#.....###...##..#...###.#..##.##..#.##.###.#.#.#####....####..##.##.##..###########..##.##..##.#.#...#.#.##.##.####.#####..###..##..#..####.#...##.#.#.#.####.####...#.#..###...####.###....##.#####..###########.##.#.#.##.##.#.#####...##.#.#....######.#..##..####.###....###.####.###..###.#.#...###.####...#####..#...#.#...#.##...#####..##.###.#.######.###....####.##.#......#.######.##.#...###.##..##.#....###.#..##..#..#.........##......##.#.#.#.#####.....##########.##.#.#.###
#.#.#####.#.######.#.#.####.....#.#.#.##....##.#######...####.#.#########.#..#.###..##.#..######.#.#######.#.##.#.#..#####.#....##.#.#..##...##..##.##.#..#.#...#.#.##.#..##..###.#####.########.#####.##...###.#.###..#....##.#####..##.#####.##.##...##.......##.#..##..#.#..#..#.##.#.#..##...#.#..##..##....###.....##.#..#.#.###...#..##..#.####.##.##.##.###...##..#.###.##...............###.#.#.##.#.####....#####.#......#.##.##.##.###.#......##..........##.###.#...##......#.##.#..##.#....##.###...#..#.#.##.........#..#.....###...#.##.#.###...########.##.######...........####.#.####.##.#....######.#.##.#..#.#.###.#..##..#.#.##...####..#.##.##.#############.###............#.######.....#.#.##.#######
#.#..........##.........#.#####.....#.####.######.#..##.##.##....##.#.#.####...#.##..#.##...##...#.#...#.#.#.#..#.##.###.#.####..#.###.##..#..##.##.##.##.#####.#.#.#....####.#.####.#..#.##.#####......###.#.#.#...##...##.....#.#..##....#.#.#..####.#..##.#.###.##..#.##.##...##.##.....##..###.##.#..###.####.####.##....##....##.#.#.##..##..##.....##.#..#.#.#####...#.#..##.##############.#.#...........#.##...#.#.#.########..##.##.#.#.#.##.#..######.#####...#....###########....#.##..#.#####.....#...##.#.##.##########.#.#####.#.#............#........#.....###.#############.##.#.#.....#...##.#.#.#.........##.#.......##..##....#.####...##.##.........##.##.#....##.#####.##########.#.#####.##########.#
######.##.#.###########.#.#.###.#.#.....##...##.....##......##.#.#....#..#.#.#....##.#.#..######.#.###.#...#.##.#.##.#.....#.###...##..######.#..#...#.#...#.#..#.#.#.####....#..##..##...##.#..######.##.#.#.#.#.###..#.######.#.##.##.####.....##....##.######.#..##.#.##.###.##########.##.###..#....##....##..#.##..##.#####.######....##..#.####.##.##.##.#.......##.##.#.##...#.....##..##..#...###.#####.#..#.###.#......##.##.###..#.#.#.#.########.......#.###...#.###.#####.#####.#..##...#.##..##########.#.........####..#.##..#.#.#.#.#.#.########.#.####.#.#...........##.##.#..#.#.#.#####.#.##.......##.#.#.##..#.#.#######..#.####..#.##.###.###.###.#####..#.#.#####.....#...............#.##..#..##.#.#.#
##.########..##..##.............#.##.##.####..#####..######.####.####.##...#.##.#.#..#...###.....#...#.#.#.............#.#....#..#####..#..##.##...###.#.###.##...#....######...####.###.##....##.##............#.#.####.#..##.......##.#..#####.#####.##.#.#.#....##.....#..##...####.#.#......##.#.########..#.##.##.###.#####....#####.##..##.##.####.##.##...#######...#.#..#.#.#.###..##..##...#####.....###.####.#.###.####.....##..##...........##.#####.###..##.###.........#....##.#.##..#......###.#.#.##....##.######..####.##.##.#.#####.#........###....######.##########...#.#.##.......#.#.#.#..#.#.############.#.###....##.##....##...##.##...##.######..##.#.#.......#.####.###.##########..#.##.##....#.#
#....##..###....######.#.#.#.#.#######....##.###..##.###....#.#........###.######.##.###...#####.###...######.#.#.#.#########.##...#.##...##..#..###.....##...###...####...####..##..#.#..##.###..#..#######.##........####.#..#.###.##.#.##.#....##.#.##.#.#.##.#####.#.##.##..###.#..#...#######.#.#....##..##..#.##.#.#...##..####..##..##.##.#..##.......#.###.#.##..###.#.##.###...##..##..###.....##.#.###....#....##....##.######.#####.##########.##.#..#.##.##...##.########.####..#....##.#######......##.#.###..##..#.##.##.##.#......#####.###.############.#.#......#.#...#......##.######...####.#.#....##.#.####.....###.##...#.#.####.###..##.##.....#.##.##.#...###.#.#.###....#.....##.##..##.#...####.#.#
####..##.....##.##..######.#####.##.#..##.....#..##....####...#######.##.#..#.##......#..###.....#####.##.###.#######.#.##.##..##.##....#####.##..####.#..##.##.###.#.####..###.####.....##....##...####.....#####.#######..######.........#.###.##.......#.#.....##...####.###..##.##.###.#..###......##..##....##.##.....###..##..##.#..##..#..##.########...##..#..##.#.........#..#.###.##.##...########...#.####.######.###....#.#...#.#...#..##.##..##.##.#.#..##.#######.#.##..#..##.#.#####....##.#.##.####.###.##.##.##..#.#...#.#.######.##....#......##...#....######.....#.#.######...##.##.#..#.#.########.....##..#####.#.#..#...########...###..##.####..#......#...###.###.#.#.####.###.....###.#.###.##...#
#####..##.#.##...##.#.#.#..##.........##..#.#.#.##..##...####......##.#..#.##.#..####.##.#.#####.......##...####.#.#..........##...###.##..##.###..#.###.##..##..#..#..##..##....#.####.###.##########.#.###.#.......#.#.##.####...#.####.##.#...####.###.....########..##..#.##..#.#..#.#.#.##.#.###.######..##.##..##.##...##..#.##..#.##..##.##...##.##.#.####.##.##..#.###.###...##..####..####.#.#.#.######.#.....##.##.#.##.###...#...##.##.###..##..#.##...#.##....##....#.##.##.##........##.#.......###.....##.#####..#.##.#.###.#.........######.#.#.##..#...#.#########.#####........#.......##...####.#...#.#######..#........###.###.##.####.#.#.###...##.##.########.###...#.###....######.####.#.#.##..####.#
#.....##########.#........###########.#####.#......#####.#.##.##.#....##....#.##.#....##.#..##...####.##..###......##.#.#.###..###.##...##.#....##.#..#...##.###.#.##.####..####.#.##.#.##...#.##.##.#.###...#####.###.#.#.....########.#.#..###...######.#.###..#..###....##..##...##.....#.##.....###..##..#####..##...######.##..#.##..##.##.###.##........#.#.##.###.....#.####.######.###.#............##.#.#.#####..#...........#######.......#.####.#.#..###.##.##..####....#..#.#..#.#.#.##..##.####..####.####.#.##..##.......##...#####.###....#########.#######......#####..##.#.##.###.####..#####......#....#.#....##.##.#.#..####.#.##..##..#.#.#.#.####..........####.###....#####..##.#...##......###..#.#.#
#####..###.##......#.#.##.#.#.#.##.....##...##.#.####......########.#....##....######....#.########....##.#.####.#..#####...##..##..##.##..####.#..##.#.###...##...##..##..##......#.....#.###.##.##....###.##.......#.#.##.####.####.#.#.#.#####.##.#..###...#.##.##...#.###.###.########.#..#.###...##.#..##...##..##.###.#...###.#..##.##.....##..######.###.#..#.#.###.#.#...####..##..#.#...##.#########..#...##..##...#.#######...##....#.#####..#.#...##..#..##.#####.#..####.##...##########..#######..###..##..#....##..#.#.#....#....####...#.########.#.##.#.###.#####.#.#.########..##..########.####.###.##.....##..#..#.#.##...#....##.##..##.#.#.#......########.......###.#.....#.##..#.###..###.##.##.#.#.#
#.#.##..#..###.#.#.###.#..#........#.#.###.##..####.######.#.##.#.######..####.##..#####...##.#.#.###.##....#.#####..#.#..#.###..##.##..##.##...##.##...#.##.#####.###.#..########...###.#...#.##.#..####.#########.##.#.#...##..#.#........##.#...#.##.##..###.#...###.###...##...##...##...##..######..##.##.###..##......###..##.#.##..##.######.##..##..###.#.##...#.#.####.##.##.###.##...#.##..##.###.##...####.##..######.##.#####..######.##..##.###..#.##.##.....##.#.##..#.#..#####.#.#..######...##...##.###.#.####..####.###.##.####.#..#.#.##.#.#.#.........##..#..#......#.#...##..##....###....#.#..##..#.#.#####...####..##.##.#####.###..#.......#.##........##.####...#############.#.#.#.#######.#..#.#.#
#.#.###...##.################.#.#.####..##########..##.......##...##.##..###....##.......#....#...#......####...#.##.....####.##.....##.#..####..#.####...##..##.#.#.#...##.#......#.#...#.###.##.##.##...##.##..........#.#####...##.###.####...#.#..#.###.....#.###.#..####.###.#####.###.####.#.##.#.###......##.##.#.####...###.#..##.##..##.#...#.####.#.#....#.###......####....#.#.##.#.#..##.........###..#.#.###..#.##...#.##.###...#.##....###.#.##.......#.#####..#.##.##...##.##....#.####..#.######....#.#....#.#.##..#.##...#...##...######..#.#...#.#.#.#..##...##.##.###...#..#.######...###.##.#.###########.######.###.#......#.#...###.#.#######..##.#.#.#.#############..#..##.#.........#..#.#.##.....#
#.....###.##.##.#....##..##.#############.#.#.#..##....#.###..##.##...##.#...##....##.##.####.###.####.#..##..###..###.######..#####......##..##.#.#..###.##.###.#.#...####.######.#####.#.....##.##..#.###.....#.#.####.#..#..###..###......##.##.##.#..##.##.##.##..#.##.#..#.#...##...##........#..#.#...#######..#.####.###.#.#.#.###.###....###.#..##..#.#.####.####.######...####.#....#.#.####.##.##.##...##...#.#.##..##.##.#...##.###.##.####.#....###.#####...#.##.#..#.##.###...#.##....#.##.......##.####...#.##.#....#########.#..#.###.#.#..##.#.#############.###...#.....#.#######..##.#..##........###.#.#.#.#.##....####.#.####.##.##.#.........#############.##...###..##.#.###.#.##.#.####.##.#.#..##.##
#####.....##..#.##.#..##..#.##.#.#.#.###..#...##.##.#.####...##...##.#######.#..#.#####..#.............##..##..###.#.######.##.......####..#.##....#.##.#.##.#.#.#...###..#.#...#####.#....#####...##.#.#.#.##.#######...##.#.##.##..####.########.##...##...####..##.#.##.##...#.####.#....########.##...#....#.#..##..##....#.#.#.#.##..#.#.#####..#.####...#..#.#......##.#.#.###.##...#.####..#.############....###.#..#.##.....#.###....#.##..##..####.....##.##.###.#....##.##..#..#....###.##....#.#.#..####...#.#......####.##.##.###.##.#.#.#.##..#....#.#.#.#.###......###.#.######.##.#.######....#.###.##...#.#.#......##...######.##.##.#....#.#########..#..##.#...#.###.#.##..#.#.#.#.######.....#...##.#####
######.##.###.#..####..##.#.#....#.#.#.##.##.##...#####....#.####.....#.#.##.#.##.##.##########.##.#######..##..##.#.###.#..#####.#.####..##..####...##....#.#.#.#.#..##.##.###.#.#...####...#.##.##....#.########.#.###.##.#..#.##.##....#.##.#.#.##.######..##..###....#.####....#.#.####.....##.#....#.######.##..#.####.###.#.#.#..#.##.#.#.#.##....##..###.##...######.......##.##.###########.##..##.#..##.##.##....##.#..#.###.#...####.##.##..##..###.#..#.##.#.#.#.#####.#..##.##.##..######.#####.#.####..########.#..#..........####.........#.##.####...........####..######..#.#..#....#.#.##.#######.##.###.#.#.###.##..#..##.##.....#.#.##.#.####.#..##...###.#.###........##.#.#.#.#.....###.####.####.#...#
#....###......##.####.###.#.####..........#..####..#..######.#.######.#.#.#..###..##..#.#.#.....#..###...#.##..##....#.#.#.##.########.##..#.###.#.#######.#...#.####.##.##.#.#.#.###...##.###.##....##.....#.#.#...........##.#.....####...##......#.###..#.##..##.###.##..##..####.####.#.######.#.##.#..####..#..##..##....#.#...##....#.#...#.##.####..##....#.###.#..#.#######..........#..###..##.##.#.###.######.####.#.####.#.#.###.#...#..##..##..#####.#.##.#......###..#.##...#######.##.#.##..######.#.##......#.##...#.########..##.######...........####.##########..####..##...##.####....#...##..###...##.#.....##########..####.#......#####..#.#.###.###.........##.#.####.#.#.....#####.#....#..##....###
####.####.#.#..#.#.#..##....##.##########.##..#.#.##.##.#.......##....#.#.##.####.###.......##.#####.#.#....##..##.#.#.....##.#..##.......##.....#..#.#....#.###..#.#.........#.#..####.#..#.#..#.##.########.#.####.######.#..####.##.####.#######.....##.#.##.###.###....####...##..##......#.#..#.#####.#..##.##..##.###.###.##.######.#.###...##..#.##..####.#.###.#.##.##.#.#..##########.##.##..#.##.#.##....##....##....#.##.....#.#...###.###.##..##.##.........######.#.##....#..#....#.#.......###.#.#......#.#.####..######.#.###.##.....#.##################........####.#..###.####.#....#####.##..###..###....######..##.#.##...#######.####.#..##.#..#..#.#.###############...#.#.##.###.##...####.##..####.#
#.#.......####.....##.#..##...........##.....##.#.##..#.#####.#..####...#.####..#..###.#.#.#####.....######.##.##..#.##.##.##.#.########.#######.#.##...##.....##.#.#####.#####.#.##....#.##.##.#.####.##...#.#.#..#####......##.#..##.#....#.#..####.###....#....#.#.#.####....###..######.###.##.....#.####.##....###.#.#.#.#.#....##.#....###.##..##....##..#.#.#.#.......#.....##.#....###.##..##.#..#.#.#..#######.##..####.#..#####.#.###.#.##...##.#...####.####..##.##......#####...####.#.##.####.#.#...#.##.###...###..#.#.#...#.#.#..###....#.###.######....##.###.#......##...#..##....##....######.#.##.....########..##..#.#..###.#.....#......##....##.##.#...........#.#.###...#.####.#....####.#..##......#
#...###.#.##...#.#......##..#.####.##..##.##.##.#..##....##.####.#.####.#..##..#####.###############.##.....#...####.#..####..#.##.#.#.#.#.##.......#.#..###.###..#.##....##..#.#....##....#.##.#...##..###.#.#.##.##..######.##.##.##.####.#.##..#...#.####.##.###........####..###.#.#.#..##..##.#####..##...##.###.#...#.....##.#.#....####...###.####.###.##.......##.####.###.##.#.####....#.###.#.##.#.#.##.####.....##..#.#.###.##...#......###..#...###.#.....##.......#.##.....#.###.#....##...#..#...########...#...#.##...##.##.....#########............####....#.##.###.##.###.##..##########.##.#.#....#.#####......##..##.##..##.#####.#.######..####...#...#.#.#######.#..##.###...#..#.##.#.#..#.##..#.##.#
#.#.#########.######.#.####.###....###....#.......######.....#..........#.##..##.##..##.#.#.##.#.#.#.######...#..##....##..##............#..#.##.#########.....##.#.#####.###...##.#######.#.##.#.####.##.#.#.#.##.###.##..#..##.#..##..###....##.###.#.##...##...##.#######.#..##.#.#...##..#.##.....##.####.##...##.###...######.######.##.###.#.#..##..##.....##.#.###......###..#....##..####...#....#.....##..##..#######.....#.#..#.#...#.####.##...###.#.##.#.####.#.#.##.##.#.#.#...#.#.#########.##.####.##.######.######.###.....######.##.#.#.######.#.#......#.#########.#..#.#.###......##.#..##.....#######....#######.##..##.##...##........####.#..##.##.#####...........###.#...###.##.####...##.##.#######
#####.##.#.####...######.#..##..#.##.##.#.#.##.##..##..#####...###.####.#.###.##.##.##......#........#.######.##.#####....##############.#.#####...#.##....##.##.....##...#.#.#######.##.....##.#..#.#.##...#...##.#....##.##......##..##.##.###......#..#.#....###......##..##..#.#.###.#..##..##.#####.###...#.###..#.##.##.##.#..##....##.#...#...####.###.#########.##.#.#.#.####.#####.##..#.#...##...######.##..###.#.#..#.#...##...#.###..##..#..###.#.#....###.####.#..#..#.###.#.#........................#...#######.#.#.##..#.#.####..........####.###.##.#.#.###.##.##.###.##....#..###.##....###.######.##.##.#####.#....##..#.#..###..#.###.##.#....###......####.##.#######.....#...#....#.##.###...#.####.##
##.#..##...#.#..#....###.######.#.#.....##########.###.##....#.######..........#.##..###.##...##.###.#........#...#.#####...###..##....#....##...###..#######.###.#######......##.##..#####.###.##.#.#.####.###....##.#.....######..##.##.#..#.######...####.##.##..########.##.##.#.##..##.##.##...##....#..###...##.#....#..#....######..#.###.#.###..#.#....#.######.########..#.#.##.#...#.#####.#######..#.#.##.###....#.##.######.#######.####.##.#.#.....##.......##.##.##.#...#.#.##.#.#############.#######.#....###..#.#.##.####......#.###.##.#.....#############..#.##..#.....#.##.########.###..............#...#.#...##..##.#...###..##...#......##.....######.#####..#.##.#####.#####.##...##..###.##..#.#..#
#..##..###.....##.#.##....###.#######.#.#...........##.##.##.#.#..#.##.#.#.#.#....#.###...##.##..#...########.#.#....#....###.##.#####.####..##.##.#.##.....#.#.#.##..##..#.#####.###...##......#..#.#.#.#..######..#######.##...##.....#.##...#..##..#...#..######.##.#.#.#.##.#..#.##.##..#...###..####...##...###..####.#.##.####.##.#.##.#.#.....##...#.##....#.#.#.#.#.#.##.##........#.#..##.#.#.##.##.##....#...##.###.######..#.#.##..###.#.....#...###..#####.#..#.##..#########..#.#....#.###....###.#.###.###.##.##........#.######.##...###....#.#.....##.#.##.#.##.##.##.#######......#.##...##.#############.###.#.#######....###.####..########.##.#.#....#.......####.#...#.##.##.....#####..##.#.#..##.#.##
##..#.##.##.#.#####.####.##...##.#..##############.###.##########......########.#.#...##.###########.#.#.##...######.####..##......#......##.........######...#.#..##..####.###.#..###.########.#.##.....#.##.#..#.####.....####..####.##..###.#.########.##...##.#..#...#.#.##...##.##..##.#.#.####..##..######.####..............#.#..#..#.#.#.########....#.####.#.#.#...#..#.####.###.####.##..#.#.##..#.#####...###..#....##..##...#..##..##.#####...########..###########.....#.####.####.#.......#####.........#####.##.######........##################.#.##.....#.#.#...#......#####.######....###..####.##.#.#.#...........######..##.#.###.##.#.#.###..###.##...#.###......#.###.##....#.#...####.##.#...###....#
###...##.#..#.#.##...##...###....#.##..#.#.....#...#.#..##.##.#.##.#.####.#.#.###.#.##########....#......#######.#.#...#..##..####.######..#####.#####.##...#.....####..##..#.#.##......##.##......#####.#.##.##.#....#####....##..#.#.##.##.....##..##.#.####..#.##.#.###.#.##.###.....##....###.##.##..####......##.#.####.#####.#.##.#.##.#.#..##.##...#.#######.#...#.###.##...##.#.###.#...##...#..##.......##.#####...##..#.####.##.####.##....####.#.....###.#.#.##.#.########.#.####....####.##...##..#.###.#..##.#.#.......##.#.#######.#.#..........#######.#.##...#.###.######.#.#....####.###.##...............#.#.#.#.###...##.##..#.#.#.#..#.#...#.#######.#.#...##.#.###.###.#..##########.##......#.....#.##
#...#....#.##.#....#..###.#.####.#.###...#####.###.....##..#.......###.........#........#.##.#.##...####.#.#.#.....###.##..####.#..#.#..#.##.#.#.#.##...#######.#....#.##..##....######.##.####.##.#.#.#.#.##..#.#.#####.####.####.#...##..#####..##........##.##.##....##.#..#.#.#####..####..##.#...#.###.####.######.#.......####.##....#.#.##.#.....#####.#.....#.###..#...#.###.....#..##.#####.#.##..#.#####........#..####.##....#..#.#.##.####..#.#.###.........##.#...#.##.#.#...##.##....####.#....##..##.##..#.....###.#.##.###...........####.##.########.#####.##.#.....#..#.....#.##..#......#.#.####.##########.#########..#..##.#.#.#.#.##.#.#####..##.################.#.#.#.##.#.######..#.####.##.#.#####
########.#########.##............#.#.###.#.##..#.#.#.#..##.#######..##.#.#####.####.#####.#..#########.....#.#####.##...##.#.##.##.#.##.............##.##...######.###..##..#.####...##.##..##..####........##.#.#.#.##.........#..###.#..##...##..########.##.#...#.#####.##.......#.#.######..#.#.###...#..##....#.#######.####.#..#####.#.#......#.#....##.#.#####.###.##.###...##.####.###.##.#.....##.####..##.####.########..##.###.##.#..#..#.##.......#####.#.###..#.#........#.#########.###.####.#####..#####...###..##.#######..############.######..#.##....#.#..#.#.#####.##.#########.#.#.##...#########....#.#####.##.####...###................###.##...#.#.#.##..###.........#.....#...##.#...#########.#.#
#......#..#.##########.#########.#.#.#.#.#.###.#.######.##.#.##....########..#...##...##....###.#......###.#.#........#.........##...##.#.#####.#####...##.##..#.....##.#..##..#.###.....##.#..##..#.###.#####.#......##.######...##.....#####.##.##.#.#..#.#..##.##..#.#...#.##.#.##.#..#...#.##...##..###.##..####...#.#...#.#..#.##..##.#.#.########.#.##.......##.#....#..##.#.#........#...#.####.###.##...##..#.####.#......###.#.#.#..##.#.##.#..#.#.#..#..#.#.#.##...##########...#.#..##........#....######.####...#.##...##.#.#.##.##.#........##.##.##.##.####.##.#.#....#........#.##.#...######..#....##..##.#.#.#.#..#...###.##.####.##.##.##.#.##....##.##......#.##.#.####.##...###...###....###.#.#..#..#.#
######.##.#.#.#......####....###.....#..............#.#.........##...##.#.##.#.####.#######..#..###.#.###......#########.#.#.#######..######....#.#####.#...##...###.##.#.####...######.###.##..#.####.#.##....#####.#####.##.###..##.##.#.##..#..#....##.#.##.#.....##.###....#####..##.###.#..##.##..##.#.###..#.###.#.###.#.##.#..##.##.#.#.##.#########..########...#.##.##..###.########.###..##...#...##.##..##...#....##.####..#.#.#.##.........####.##...####......#..#.#.#.....###...##..########.##.#.##.#....#.#.#..#.#..#.........#...#.#.#.###..#.#..#..##.#..#.#.#.##...######....#.#.#..##.###...#.##..#####...#.#.##.###.#....#.#...#.##..###....##.......######..#......#.##.#########.##.###.....##.#.##.#
#.###..#..#.#.##.###....####.#.#####.##.##.###.####.#.###.#.#######.##..........##...####.##.##.#.#####.##.##.###........###....##...##..#.####.#...###...#.######...#..#.##...###..##..#...#..##..##..#.#..#####..#.##.#..#..####..####.#..##.##.#.####..#.##.###.###..#.#.#####.##.###.###.#.###.##.##........##..##.#.##..#.##.#.###..#.#.#.##...#.##.#..##..#.##..#####...#.###........##..###.##.###.###.....##..###.########.##.#.#.#..##.##.###...##..#.#...#####.#.##.......#####.##.#############.##........######.#######...##.######.#########.#.##.#.##.##..#.##.#...##############.#.#.#####...########.###.###.##....#.##..#.####.###.###########.####.##.#....#.##...#.######..##...##.#.##...#.#####..#..#.#
#.#.##.##.#.#..###.####.#.##...###...#######...##...#...######.#.###########.##.#..#..##..#...#.#..#.#...######.#.#.###.##...####..#..##.....##...#.#...#####.#..###.##.#..##.##.##..##...###.####..##.#.##...#.##......##.##.#..##.###....##..##......##...#...##...##.#.....#.#....#.#.#...#.##...#.##.####.####.##....#..##.#..#.##..##...#.##.###.##...####....##.#.##..#.#.#...#########.##.#.#...##.#...##.####..#...#.#.#.#........##.....#...##.############.###.#.####.###.....#.#....#.##......###..#.#.#.##...##....###..####.##........#.#.##.#.#.....#.##.##....#.#.#.#.#......#####.#...#.#.#####..#.#.#.#..##.##.####..##.#..#.#.##...#####....####.#.##.##.###....###..######.#..###..#.##.###.##.##.##.##.#
#.#.........##.##...###.#..###.#.#.###.#..####.####.###..##........##..#.######.####.####.###.#.##.#.###.##.##..#.#.########.#..#.###..####.##..#######..#.#....##.#.#..##....##..##..###.#.#...###.##...##.###.##.###.##...#.##..#...###.####..##.########.###.#..###....##.##...####...###...##.###..#.#.#####.#.#####...##..##....##..###.#......#.##.###.#..##.........####.#.####.#.##....#.#.#.####.#.#######.##...#.....#.####.######.###.#########.##.#.##.#.#.###..##....#.###.....#.##..##.###...##.###.####.#..#.####.#.###.#....#.#.####..........#.###..#.#..##...#.......######.##....###.#.#.#.##...#.#.#.##.....##.#.##..#.##.#.#..#..##.#.##....#.###..####.#.#########.#.#####...##.......##....##..#....#
#.#########..#..#.#.......##.......##..##...##.#........########.#..##...#.##.#.###.....#.##.....#.......##..##.#####...##.#.#.####.#.###.#.#..###.#####...####.##.#.##.##.######..##.#.....#.###....###....#.#.#####...###.#..##.##.##.#.##...##...##..###.#...#.##.####.##.##.###..###..####..#.#...##.#.#.##....#.#.###..##..##.####.####.#.######..#..#..#.###.#.####.##.##.#.###..#.#..####...#...#........##.....#########..##...#.#.....#..#.##.#.#...............####..#.##..##.#.######.##....##.##...##....#.#######.#.###...#.#.##.#......#.#############.....####.##########..#....#.####.........##.###.#.#.##.#.#.#..#..##...#..#.#.######...###.#.#..#####.##.#...##.##.#....###..####.#######..#####.##.####
#.....#..###...##########..##.####..##..#.#.####.######.#.#.#..###.#####.#..........###.#..#####.#.#.###.##.##..##.###.##.......##..#.##....##.##...#..##.##...............#..#.#.###.#.###...#.####.....####.....##..#.......##........#..##.####.##..##...###.#.#...##..#####.#.#.##.##.#.##.##.#.###....#.##.####...##..####....##...##.#.#.#.#..##.#.##.##.#.#####.#####.#..#...##.....##.####...###.#####.###.#.#....###..##.#..###.##.#####...#..#...###.###.#.#.#####..##..#.#####.####.#.##.##############.#....#..#.#.#.##..#.#.#######.##.##......###....#.#####..######.#..##.##.####.#.####.#######...##.#.#..#.#####.##.#####...##.#.##.....#..######.##.###..#.#.####..#.#.####.##.##.#....##.##.#.#.........#
#####.#.##.###.####.......#########..##.###.#.#####.....#.#.#.##....##.....##.#.###.#.....##.......###.........##.........#.#.#..##.#.####.##..####.#.###..#.#.#######.##.##.##.#.#.#.#######.#.##.####.##.####.########.#.##..#.#.####.#.##..#.#...##.####.........#####...#.#.#.#....##.#.#...#.....###.##.##.#.##.###..######.#..##.###.#.#...#.##..#..#..#....#.#...##.#.##.#.###..##.##...##..###....#.#####..#.#.##.....###.#.##...##.....##.##.##.#####...#####.##..##..#.####.#####.#..#.##......#.#.########.###.##........########...####..#.######.####......##.###.#.#.#.##......###.#..#.....#.#.###........##..#.##.##..##...####....##.#####...#.##.##.#.#.##........##.#.#.#..##....#.####..##.....#########
###.#.#.##.##...#.###.###.#.##....##.#...#..#.#.#.###.#........####..##########.##..####.#######.#####.#.#.###..#####.#.###.####.##.#.#....##.##....#.#.#.#########....##.##..#.#.#...##....#...##.##.......##...##.##.#######.######.#.#.##.##.##.##..#..####.###.##.#...###.#.#.#.####..#...#...######...#..#.#..#.##..##.##.###.##..#.#.#...###..##.#.##.##.####...#.#....##.#...##..###..#####.....##.....##..####.#####.###..#.##.###..#.#..####........###..#######.####.###.#..#..##...##..#.######.....##.##.......###.########.#....#.##.#.####.......##..#.#.##...#......#.#..####.#.#...##.#####....##.####.###..##.....##..###.##...#####...#.##.##.##...........#########.#.....##..####..#.#.##..###.........#
#...........###...###.#.....#..##.##.###.##.#.#.#.##..##.#####....##..##.##.#######.#.....##...####..########..##.#.#####...##.#....#.####....#####.#.#...#.#.#...#.##.##.###.#...#.#######.##.##...###.########..#.#....##....##.#.......##..#.#...#.##.##......####.###..##.#........##.######.##..##..###.##...##.#..##..##.##..##.##...###.#.##..#.#.#..........#######.###.#.####.#####..#.##.##.####.#.####...####.###.#.##...##.....##.####..##.##########..#.##.#...#####..##.#.##..#####.#.####...#####...##.##.#..........##....####....#..###.#####..##.######.###.######.##.##.#.....####.#.....##.#..#.####.##....#####..####..##.##...#.#....#.#..##.#####.#.#.......#.#...##.####.#.##.##......##...#.#.##.##
#######.#.###.#.###.#####.#.####.....#.#...........#########.####.###.....#.#..##.####.##..##.##..##.##.#.#.##.##....#.#..####.###.##..##..##..#.##.....###.#.###.#######...#.###.#.#..##.#.....##.##.#..##.#.#..##.###.##..##.##.#######..#.##.##.##.##.#..##.####....#..##..#.###.####....##.#..##.###...#.##.###..#.####.##.#..###..###.##.....##.......#.#########.#.##.#......##..#...#.##.#...#.#..#####.#..#....#.#.#.#.##.####.#########.##.....####...#####..#...#..###..###.#.##.##..#.........#####.#.#####################.##....#########.......####...#.#.....#..##.##.....#.########.....########.##.#.##.###.####.##.###...###..#.###.########.##.....##.###.#.#.#.#.#.######..........###.#####.#.#.#..#..#
#....####.##.....##.##.#..#...######.#.###.####.##.#.#..#...........##.##...##....##.#####.#...##.#.............####.....##....##.....##..####...####.#.#...#.##...#.##...#...###.#.#.##..####.##.....#.##..#.##..#.#...######.#...####.##.#.##.##.#..##.####.....####.##..##.....#.##.###.##....###..##.###.#....##....#.#.##...###..##....#.#####..##.#######........#.##...#.######.#.###..#.#.###.#.###.#....##.####.#.###.#............##.#..#.###......#...####.#.######.##...#.#.##..##.#.##.#.#####......#..##........##...#.#..#.#####....#.##.#.#####...###.##.####.###....#.#....#.#.#.###.####...###.#..#.##..##..##.......##.###..##.##...#.##.#.....##########.#######...###.##.###.####.......#.#############
###.##.#..#####.##.....######.#........#####....#....##.########.#.########.#####.##..#.##.##.##..############.##.#..#########.######.######.##.##.#..#####.#.####...#######.##.#...#..##..#.#.######....##.#.#..##...###.##.#.##.##.....#.#.#..##...##....#####.##.#..#..#####.#####...##..####...##..#.#.#.#.#######.##.#..##.##.##.#####.#.....##.####.#.##..##.#####.#..#####...##...###.##.#.#.###.#.#...#.######......##.##.#######.###..##.....#.###.##.#.........#.#.#.#..###...###..#.#.####.......#.#.##.##..#.##.####.###...######.#.####.#..#...#.###.....##.####.#.##.########........##.##.#.###.#...##.###..#.##..#######....#.##.....#...##.#.#######.#.##.####.#.#..#...#..#.###.#..#.##.####..#.#........#
#......##.#.#.#.##.###.#...##.########...###########....##.##..###..#.##.....###...##...#..##..##..#####.#........########............#.##.#.##.##.##..#.##....##..###..#....##.#.###.####......###...#####.#.#.###.###............#####.#...##.##.#######.#.#.#....##...###.##.##.####.##.####..#####.#.#.#.......#.#.#..##.....#.#..#.#.#.#.##.##.........#..##...##...#.#######.##..#...#.........#......#####..#.##.#####......##.#.###.##.##.####################.#.....#...##.##.##.##.#.#...####.##.#######.##.##..####.#.#.##.##.##............######.#.#.#####.....#.............#.########..#.....#..##.##...###.#....###.##.####......#.#.###.........#..........#.......##.###.####.....##.##......##...########
######.#..#.#....#.#.....#....#.#.####.###.##........##..#..#.####.##..#####...##.#####.##.#..###.##...#.###.#.##..##....###########.##.#.....#..#.##.##..##.####.##.##.####.##.#........#####.##.###...##....#.#.#..###.#.#######..##.#...###..##..##..#........#######.##......#..##...#.##.##.###.#.#.#.#.#.#####...##..####.##.#.##...#.#.######.######.#.##########.#..#.#.#..#..##.#.#.###.#.#.#.#######..##.......##.#####.##..#..##.##.#.......##.....#..#######.#.###.####.##.##.#......#...########..#.#.....##.###...............###.####.#...##.#.#.#...##..#####.##.#.##.##.##.....##.#.##.#####.##.....#..##.#.####.#....##...##.#.###...##.###.##...#.######...##.##..#.#....##..#.##########.#....#........#
#......#.##.###.######.#.####.#.........##.#############.##.#.##...###.......####.#.#........##.#.####.#.##..#####.####.##....##..##.#..#####.##.#.#...#.##...##......#.##.#..#.#.########..##.....####..###.##.#.##...######.##.##.##.###...##.###..##.####.#.#.###..##.###.###...#####.#.#..#..#.#.#.#.....#.#######.#..####..##.#.##.#...#.#.#.#.......#.......##.##....##.#.##.#.###.###...#.#.#.#..##.....###.#######..#.#.#..##.#.##..##...##.#####.#####.##.....###......#.#.##..#.#.##########.#....##...#.#####......#.##.##.#####...#...#####.###...#.#.###..###.##.######..##.##.#.###.........#.#.#..#.######..#.#.##...#.####.#########.#######..##.###.....##.#..#..#######.####.#####.##....#.#.#.####.#.####
######....#.##...###.########...##.##.#....#.#..#####..........###...##.####...#....##.##.##.##.#.#.#..#..####.....#.#...###.####.#....##...#.##...#.###.#..###..####.#.##.##.#........#.##..#####..##..##...##.#.##.#####........#.#..#.##.##...##.###..#######.#.##.#..#.#...#.###.##..#.##...##...#...##.####...##....##..##..#.#..#####.........##.#####.#######.#####......#..#.#.####..#########.###.######.......##.##.#...##.....##.#..######.#.#.##.....#.#######.##.###.#.#..##.#..............#######.#.....###.#.##..###....###########.#.####..#.#...####...........####..########.#.#########.#.#.####....##......##.####.#..........#.#...#.#####...#.#.#.##.#####.##.##...###....#.#.##.##########.#######.#
#.#.#..##.#.####.#....#.##....#.#..######.##.##.....##.#.#####.....######.####.###.##...####....#.#.##.#.#########.#.###.#....#.#...##..###....###.#.#.#.#.#######.#..#.##......########.#..##.##..###.####.##....##.##..########...##.#.##..###.#...#..##..#.#..#.##.#.##...#####....##...###.####.##.##########.######..#.###.##.##..#.#..#.#.##.###...#.#####.##...#.###.#####.##.#..#.##..#####.#.........#.##.#######..#.#.####.###..#...####.##......##.####....#..#..#.##....#.###...##########.#...#.#.#...#.#...#.#.##.#######.......##.#.....#.#.#####.##....#.##.#.####.#####..##.#.....###.##.#.#.....##.####..##.####...##.#.##############.#...#.############..#.####...###.#.##.###.#........#.###........#.#
#...####.....##..###.##.#..#.#####.#.#.....#..#####....#.#..######.#.##...#.##......#.####.##.#..........##..##.#....##....##.#.##.####...###.##.....#.#......####.#.##.##.##.###..##.#..##.##.###.##..##.#.####.###..##..##.#....###.......##.#.#.###.####.#.##.#.##.#.##.###..###.######.#.#.####.#....#.#.#.##.##.....##.##..##..#.##...#########.#####.###....###.#.#.#..###..##.#.##..##..#.#..#.#########.#....##.#..##.#.##.#...##...#....#....######..###..####.#######..##.......#........##..#.###.....#####.#.#####........##.####......#.###.....##.....##.###..#......#.####.##.#.#####.#.##.....###....#.###.####.#..###..#.........#.#.#..#.###.##...#.#.#.####.#.#..###.#.#.#........#.#.####..#..########.#
##.##.####.#....##.#..#.######.#.###.###.#...###....##.####......#.#..###...#######.####...#####.#.#####.###.##.##.#..####.#.......#....#........###.....######.......#..####.#.#.###.#.##..##..##..##.......##......####.##.####.#.#.#####..........#..##..#.##.#.#..#.##...##..#....##........##....####.....##..#####.##.#..###.##..##.##..##......#.##.#.#.##..##.#.#.#.##.##..#......##..##.#.##........##...#.##....###...##.#.######.##.#...##......#.##.#.##.##.#.#.######..#.###.##.#.#.#..#.##.#.###.####.#######.###.##.##.##....##.#.#.###.#####....##.########.#.##.#...#.##.##.#.#####...##.###..##.####..##.#.##...##.##...#########.#.##.#.###.##.###...#.####.#.##..##.#.#...##.##.##.#..#.#.##.##..#.#...#
#..##..#.######.##...##..##.#.........#####.##.##########.##.###.....##.###....#....###..#...#.######...........#..######..##.#.#.###.###.#.##.########.###.#.#######.##.##.........#.#..##.##.##..##..#.###..###.#####...##.#......###########.#.##.#.####.#.##.#.#.##.###.####.#.####..#####.##..##..#.#.###....##.##..##.##.#.#.##.###....##..##.###.##.....#####..#.#.#.##..#.##.######..##.....#.#########.###..###.##.#.###.....#.###..#.##.##..#.##............#.#.#.#.##...##...#..#######.##..#.............####.#..##.##..#..##.#.######.##..#.#.##.#######.#...############.##.##.#.....#.####...#######.##.##..#....#.#...##.##.#.#.#.....##.#...#........#...#....#..#.##..#.#.#.##..#..#.##.....#...##.#...###
##..##.#.##.#.#.###.####....#########.#.#.#.##..##.##.##..####...###....######.####.#.######.#..#.#.###########.##.##.#.#.##..#.###.####..#######..###..#.#.#..##.##..##.##.#.###.###.##.#..##..##..#.#######...#...#.#.#..#.######.##....#..#######....##..#.##.#.#.#...#...##.....#.##.####.....####.......##.####.###.##......#....##..####..##.......##.####.#.##........##...........##.##.#.#.....#..##.#...##..##.##....###.##...#.####..#####.#..#.##.##.####.......#..###.##.####..#.#.################.#.#...#....#####..######.#...#.##.##.##.#.##.....#.#...######..#.##.#.##.#..#.#####.#.#..#..###.#...#.#..##.######.####.#........######.#.###.###.####.#...####.##..##.....#..#.###.########...####...###.#
###.##...#.......##...###.###.##..#.......#.#..###.##..##.#.##.########................##....#.##.#...########.....##...#####.#.##.....#####.##.##.#.##...#.#.##...##....######...#.#.#..##.##.##..#####...####...#...#.##....#.#.#..####.##.#.###.####.###...##.....#.###.#....###....###..#.###....#.#.########..#......######...######.##...####.##.###.........######.######.###.####.#..##.#########.##..#.#..#####..#.####....#.#......##.....#.##########....##.######.##....#########.#....#.#.###.....###.#####.####.#########.#.#####.####..##.#..#.#####...###.#.#..##.##...##...##.....#.#...###.....##.##.##.##.###.##.##.....#.##.#...##...........#.######.####.#..##.#..#.#.#.##...#####....#.#..#.#.####..#
#....###.#.####.##..###.#.##...##...#.#.#...#.##.#..##.........#....#.#######.#####.##..####.#.#..##.##......#####.####..#.###########.#.##..#.....#.##.###.#.#..#######..##.##.#...#.##..#.##.##.##.#.###..##..###.#########.#.#.##.#.##.......#..##...#.###.##.###....##.#.##..##########.####..########.#.#.###.####.#..#.#.#.#....#.#.##.###.#####.#...#########....#....##....#########.#...#.###..#..#.##.######...##.##.##.########.#####.##.#####.#....#.##..#..##.....###.####.#..##.#.####.....#.#######..#.#.........#.#.#.#.###...#.#..##.##.##.#.#.....####....#.###.##.######.##.##.##.#.###.##.#.###.#...#.#..#.......##.###########..#.##.#.##.#.#......###......###.#.########..#..##.###.#####...#.##.##.#
##.###...#####..###..##.#..###....#.#.####.##.##.##.#########.#####...##......##....###..#.#.....##..#######.###.#.#.#..##.#.#..#.####.#.###.#.#.#......##....#.##.#.#...##...####.##..##...##.....#.#..###.###..####.##.#.#....#.##.#.######.###.#####.#.#....###...#.###.#####.#.##..#.#..##.##....##.##......#...##..##...#.#.##.###...........##.#####......#.#####.#.#######.###....##....#.#.#.##.#.##.#...##....###...............###.##########.....#.###########..#####.#........###.#.#..#.#####..#....#.##...##.#.####.#.....#####.#.#.##..##.#..#.#.#####..##.###..........#.##.....####.#.###..###.#.#.#.###.#.##.#.#####...#.###.#.#####..#.#..#####.#.#####..######.......#.#.######.#..#.#.#.#.#####.....#.#
#..#.###..##...##.#.##....####.#########.#.##.##.#...#.##.#####.###.#....#.#######.##.##.....#.#.###..###....#.....#.##..#.#...##........#...#####.####..####......#.###..###.##....##..##.#####.###.#.##...#.#.##.##.##...####...##.#.#..##....#.###.#...##.#########.#....#..###..##.#.##.#...##.###...##.#####.##########......###...######.#.###.###...######..###..#....##.#.....#####.######.#.##.#......#..##.#.#.##.#.##.##.####..##..#.#.###.##.#########.##.#.##..###..#.#########..#...##..##...##.#######.########.##.#.#####.##....#..##.#..##.#.....####.#......###.#.####.##.######.#.......######.#.#..#.......#.#...#.###.............########.######.#.##...#.####.#.#.........####.##.#......###..#.#...#
##.#...##.####.##....####.#..####....##........#.#.###..........#.###.#.##.#.....#.##....###.#.#.....##.####.###.#...###.#.###..#.######.###..#.#..#####..#.#####.##.#.##..##..###.###.##...##...##..#.##.#...#.#..##..###..#####.##.#.##..###.##..#..##.##...##..##...#.####.###..##..#.#..##.##..#.##.##.....##.#.##.....####.####..#############....#.#.##..#..##.##.#.####..#.#####.##....#.##.#.##...############.#....######...######..##.#...#.##.#.#.#.#.#.##.#..#.##.##.#.#.##.#..##...###..##..#.##..#.##.......#.#...#....##.#..#.##.#.##..#.##..#.#####.##...##.#...#####.........##.....########..#..#.#.##.##.#######.##.###.########.#.########......##.#....###..#.#.#.#.###.#####.##.##.#.###.##.#.####.#.#
#..#.###..#..#.##.####....##..#.##.#....##.#.#.......#.##.##.##....#..##########...#..#.####.#######.##.#......####.##......##.##.#...#..#.#.##.##.#..##.##.##....##.#.###.#..##...##..##.######..##.#..#####...#.###.###..##.##...#...###......##.##.##..##.##..#####........#.##..##.#...##...##.#..#..##.#####...##.#####.##..#.##.#.......#.##..######..##.#.##...#.#.##.##.....###.##.##.#.##...#..#......##.#.#....##..#...#.#...###..##....###.##.......#....#.#.##............#.#.##..#.####.#..#####.##.##.###.###.#.###.##..#...#####.#.#..##..##..........#.######.###..#######.####..###..##.#..##...##.......#####.#.#.#....#.......##.#..##.#....#.#####...######.##.#.#####.###.##..#..##....#####.....####.#
##...#.##.##......#..####.###.#.############.#.#.###.###########.#...####.#......#########...##.#....##.####.####.#.###.###.....#####.##.#.#..#.#####.#......##.#....#.#.#.##..###....###.#..###.###.#.########.#.#.#.#...##..####.###.#.####.###..#...##.#...##.#.#.###.######.##.###.##.####.##....##.##......##.##...#.#.....##.##...####.##..##....##..##.....###.#.#.#..####.###.#.##..###....#...####.####..#...######...#.#.#####.##....####.#.###.###.##.##.#....#.#####.##.#........####.#....##.#.#.#...#.###............####.###.#.#.#.#.###.##..#.##.###...##.########..##.##...#.#.#####.#....####.#####.###.###.#...#.#.####.###.#.#####......########.#.###.##...............##..##.#.###.####.#.#.###..#####
####.#.##..##.###.#.##.#..#...#..##...##.....###.#.#.##.#...##.###.#.##...########..#......####.####...........#....#.#.##..###..#.#.......##.#.#.#.#.#.#.#.######.###......#.##.#.#####..#.##.....#.#..#.#.........#.#.#####..###.........#....##.###....#.###....#..##...####..#.##..##..##..##.####..##.######..####.....#.#.#..##.##########.#..####..#####.###...#.#...##....#.#......####.####.#.#.####.###...#...#..##########.##....##......#.#.#.######..###.##.......#..#.##.#.#.#...##...#####.#.....#.....#.#######.#.###.#.###.....#...##.....##.##..##.#....#......##..#.###.##.#....####.####.#..#.##....#...#.##.##.#..###...#.#.....#.##.#.###.#....#.....#..#.#.#.#######....##..#.##....##......#####.###
#....#.#..###.#......#.##.###.##.####.##.###.##..#.####.###....#######..#...#.#..##.#########........#.#.##.##...##.#.##########.#.#######.#........#.#####.#.##...#.##.#.#...#..#...#.##.#.##.#.#...#.##.####.#.##.#.#.#..###.#.###.#####.###.##..#.####....#####.#.####.##..#.##..##.##.####....##.#.##..#.##.##..#.#########.#.###.###...#.##.#.###.##.#.##....#.#.....#######.#.#.####..#......###.....##.#.#.###.#...###.#.#.##.....##.##.######.#......#.##..#..##################.#####....###.#.#.#.#############.##.######.#.#.#.#####.###..#.########..##..######.######..##.#.#......####.##....#.##.#..##.####.##.##.##.#.##.#.##################.....##...#####.######......###.####.##....##..#.######.##....#
#.##...##...####.#.#...##.##..##.#.#..####.#####.#..#.#..#####....#.#..##.#.....##..#..####.#####.##.#.###..#######.#.###.##.......##...#....#.#.##....#.#..#.####.#..#######.#.##.#.#.#..#.#######.##.##.#.##.####...#...##.....#.####.#..#.#.#..##.##.####..#.#..#..##...#.##.##.##..##..##..#####.#..##.#.....##.#.##.....#..#.#.#...#.###..#.#.#.#.##....#.######.#.#.#.#.##.........##...#.#.##########..#.....#####..#....#..##.##########..#.#.##.###...###.#.##........###.##.#########.#..#....#.#.#.##......##.....#.#.##.#.#....##....###.#........######.###.##...##.##.##.....###.##..#.##.####.##...##.....####....##.#........##..#....#..#.#..###..###.####..#.#.#########.####.#....##.###..........##.##.#
######.##.###..#####.####.###......##.#.#...#.##...##.##.#.####.#.....#########.###.##............#..########.###.#.#.#.#.#..#.###.####...##.#.#.##.##...##.#.#.#..#.######........###.##....##.#.#.##.##....####...#...#.####.#...##...##.....#.##...#......##.##...#####....#..#.###.#..####...##....##....#.#.#..#.######.##.#.....#.#.#.##.#..........##...###.#..#####...###.##########.##.###.....#.###.#.##.###.#####.####.##.......#...##.#.#.#..#######.#......########.#.#.......#.#######.####.#......######..#####.#..#...#.#.#####.##.#.#.########.#.####......#..#.#...##.##.#.#####.#.#..#.##..###.##.######.####.##.#.####.####.##.####.##...###########....##.......#..##..##....##..#...##.##########..###
###........###.##.#...##...#..##.#.##.#.##.##..##.##..##.#......##.#.##..#........#.#######.#.###.##.#....#.................######.#.##.#..#####.#..#..#.#..#.#.##...##.#.#######.###...##.###.......#.#####.#..###.#.###.#..#.###..###..#####.#..###.#####.###....###.....####.##..#....##..#.#.###.#####.########.#.#.###...#.#.#######.#..#.#.#####.#.##..#.#...##.###...###.#..........###...###.##....#.....###.....#.#.##.#.##.#######.###....#.#.##.###.#.#.##.#......##......#.###.#.#..............###.##.#.###...###...##.###.###.#....#.#.#......##.....##..#######.#.#.####.#..#.##.#......##..#.##.#.....#.##..#.##.##.#....#...#........#.#..#.#..##.#..##.#####.#.###...####..##.#####.###.##.......##.#.####
#.######.###.#.#..###..###.#######.#..#.#..###.#..##.###.####.##########.###.#.##...#.#.#######....######.########.#.##.##.###.....#....#.###.#..#######.##........####.#.##......#.##.##..#.######.##....##.##...#.###.###.#######.#.##..#......##...........##.#########.###...##...######.#.###.#....##..#.#.##..#.#.#.###........#.#..#.##.......#.#..##.#...###..#.##.##.....##.#.#.#...#####.###..##...###...#.#####.#.#....##.#####...#.###.##....#.#...#....#.##.#.#.#..######...###.#.#####.##.#.#####..........###.##.##..#.#..#..####.#.....#.####..##.###.####..####.#.#..#.##........#######.##.##...#.#....##...........########.##.###.....####.###.#.###..##.#.#######.#.#..###.##.##################......#
#.#.####...#.#.##..#..##.#.#.#.##..##.....##.#.##......#..#######.#.#.#......#.####.....#.########.#####...#####...#.########..#.#...##.#.#.....#####.#.....##.#.#.###.....######.#.#...##...#.##...##.####...###.#..##.##...##...#.#..##.####.############.###..##..##.##.#.#.###..########.#..##.#.#.###.##....##.....#.#.##.#.#.###.##.#.##.##.#############.##.##.#..#....#.#..###########.#.#..#..##..###.#.###...##..#.#.#####.#.....###..##....#.##.#.###.##############......##.####.#.#...######.....##.#########.#.....##...#.##.##..#.##.########..#####........##.#......######.#######.#.#.#.....#.######.#....##.#.#.#.####.#.#...###.#######.#...#........###....##.#####.##...#..#.#.##..##.#..###....##.#.#
#.#.#....###.#..##.##.##.......###....#.#..#.#.####.####.##..##.#.....##########..#.###.#.#.#..#####.#.##.##...#######.##.#...#####.###.#.#.#.#.##....###.#.#..###...#####..##....#...###..###..#.#.....##..###.#.#.###..###..###.#...###.#......#.#.##.#...#.##.#..###........##..##....##....##..#.####..##.########.##.#..#.#######.##.#.#...#...#.#.##.##.####.#..#.##.######.###.#.#.###....##.#.######.#.####..####.##.#...#.....#####.#.##..######............####.#.##..##########.#.....#####.###.##..###..##.###.##.####..###..#..##...##..........##.##..#.##.###..#.##.######...####.##.#.....###.....###..##.#..#####.#....#.....####....##....###...##.#.#.....##......##..##.###.##.#....###.#.##...#########
#...####..##.#.##......##.####.....##.####........#..##...#.##..#####.#.....#.###...##....#.##.#..#.....#.####.#............#.##....##..#.#####.#..##.....#.#.#####.##.#.##..####.###..###.#.#.######.#####..#..#.#.##..##.#.###..###.#.#.###.####......###.#.##...##.#.##.#######....######.#..##....#.##.....###.##..##.##.....##..#.##.#...###.#............#.#.##.#..#.###..###.........#.##.##.....###.....#.#.###.#..#.#.###.###.#.#.#.#.#..####.##.##.###.###..##....###......#.#.#.##.#.####.#.#.#####..###....#.#....##...##.##.#.#####..#.##########.....##########...##.#..#.###...........#.#..##.#.#...##.##.###########.#...###......#.###.####.#.#########.#.#####.#.##..##...........##.#.#.#....#.........#
###.##...###.#.###.##.######...#.########..######.##..###...###.#.....#####.#.#...#######.#.#..##.#####.#........#.########.#######..#######.#########.#########.##..#.#.##.##....#...##.#.#.#..##.....#..##.##.#.#..##..#.#.#.##...#.#...#.#....######.##....##.###..####....##...#.##.#.##.#####.####.##.#####...###.##.##.#.#####.#.#....#.###.#.#.##.#.###...#.#..##.......###..###########..##.##.##...##.##...#.#.##.......#...#...#.#.#.#.###.#.##.##.###...##..#.####...######.#.#.##.###..#........###.....#.##...#####.####.##.....####........#.###.#####.##.#...##.#####.##.#.#.#####.#.#.#.#.##..#.#.###..##......#.##.###.##############.#...........###..######.########.###.##.#.#####........#.###.########
#......#...#...#.###..##.##..#.#######..#.##......##.##.#.###.#.#####.##....#.######.#......##......#...#.#.##.#.#####..##..##......##...#.#.#.##.#.######.#.#...###.#.#.#...##.#...###....#.#.#######.#.##.........##..##.#.#..#.#...###.....####.#.#.....##..#...##..##..##.#..######.#.##..#.#..#.#...#..#.####.#.#..#.##.###..##.#.#.######.##########...##.##.##.##.#######.#.####.#..#.###.....####.######..###.#.##.#######.#######.#.#.....#.#.#...###.#.#.#####..#.###.#.##.#.#.......##.##.###.##...####.#######..##.#.###.....#####.#..########.#.#...##..##.#.###.....##..#.#.#....####.#.#.#..####.#...##.##.#.#.##.....##.........##..##.#.#######.#...##....#.#.....#.#.......###.....##.##.#######.....#.#.#
#####.####.##.##..###.##..####.#...##..######.###.......#...#.#.#.#...##.##...#.##.....####.#..#.##...#...###..###...##..#.########.##.#.....#.#.............###..##...#.###.######...####.#...##.##...#.####.##.######.##.#.##.#####.##..###...##.#.##.#.##..##.#####.##.######.#.##.#.#.##.##.##.#.#.###.##..##......##.....##.##..#.......#....##.#.###.#######.#..##.#.#.#.#......#...##..####.#####...##..##...#...##.#.##.##.##.#........###...#.#.#####.#####.#.##...#............#.#.#..#.##.#.######...######...##.#..#.....##.##.#.#.##.#.##.###.....#....##..#.....#.###..##.#...####..###.####....###.#..############.######.##.#.#....##.........######..##.###.#.#####.#.#.#.#..####.######.....##.##.####...#
#######.#......##......#.##.######.#..##.#.############.#.###.....###.#######...######.##.....#######.##############....####.#.#..#..#######.#.#####.##.###.##...#####.........#.##.###....##.##..####.#..#####....##......#.#...#.##.#####...###..#..#.#####.##..##.#.##..#.#.#...##.#.#.##.##..#.....#.#.#..########..#.#####...##.#.#######.####......####..#.....##......#.#.##.###.###..##.#......###....###.###.####...#...#..#...######...#.###..........#.##.#.##.###.##############.##.#.##.......######.#.#..###..#.##.###.##..#.#...............##.##.######.#.#######.##.##...#####..#######.#.#.#######.##..#.#.#.#....#.##########.####.#.#.#.###.#.#####...##.#..#.##.#.###.#.##.........###.#..#..###.##.###
#....##...#.#.######.#.#.##..##......##..#.#........#.#.#...#.##.##....##.#...#..##.######.####.#.#.###.##...##...#####.#.#..#.##.########......#.#########..###..##...###.#.#......#.####.##..#.##..#.#.##.##..########.###.##.##....#..####.#.##.#.####......##.##...##.##.#...####.....#...#.##.#####.#...##.##.#.#.##..##.##.###.#.#.##.##......###.###.##.###.#####.###......#####.#.#.##..#.######.#.####.#......#.##.##.###.##.###.##########.##.####.##....#...##.........##.......####......#.#####.#......##...##.#.....########.##.#.##.#.#.#.###########.......##..#......###.......##...##..######....#.#..##.......##........#..######..#######.#.....#.#.####...##.##.#...#########.########.##...####..#...#
##.#....#.###.#.##.###...##.########..##.#.#####.##.......#.###...###.##....####....#.#.####.##.....##...###..###.#.......##.#.#...##..#...#.##.#.#....#....##.##..#####.##########.#..##..###....##......#.###.#.####.#.##......####...##..............######.##.##.###..##.#.####.##.##...###.#.....##.#.###..##...#..#.##..#..#.#.#.#..#.#..#.##..####...##..##.###.#...##.##.###.........##....#.#.#.#.#.#..#.#.####..#.#....#............#.#.##.....#.#########.###..##.#.##....##.####..#.###.##.#.#.#.#.######..####...#####.##.###.##.#..#.#.#####.#.#..##.##.####..##...####.##..#.#.#....#####..#.#.#.#######.###.##.#..#.#.#.#.##.##.##.##.##.###....#####.#..#.##.##.......######.##.####.#...####.###..##.#.###
#####.#.###.....##..####.#..#.##.#.##.##.#.##....########.####..#.#....#.#####.##.###.#.#.#...###.#..##.##...##.#.#######.##.#.#.#####.#######..#.####.####.......##..##..#.##......#.###.##.##.#########.....#....##....######.##....#####.#.###.########.##.....##...##.##....#.#.#####.###.....######.#.#.##..###.#.##..##.#.##.#.#.#.##.#.#####.##.#..#####.#..#.#...##########..#####.#######.#.#.#.....#.##.####.##.#...##...####.#####........#.#...##..###.......#####.#######...#.##.#####..#.........#..#.##..##..#.#.###......#.##.######..##.......##...#.#.########.#.####..############.##.##......##.#.#.#.#.####.########....##..#.#......#..#.####...#.##.......#.###...#.#......##....#..##....##..#.....#
#.#.#########.#..#.##......##.#........#.#..##.#.#.........##..######.##.####.....#.......###.#.####.....###.##.#.##.##....#.#.#.#.##..##.#.###.#.#.#....####.###..#.####...#######.#.....##.##..##.######.####.########..###....####.#..######.....#..##..#..######.###..#..#.##...#.#.......###....##......##.##........###.#.#......#..#.....#.####.##.#####.#.##.##.####.#.##.##.....####.##.#.#.#...#####.##..##.......#.####....#.....#.#.###.######....##.##.#######..#..########..........##.###.##.#.##.##..#.##..####.#.#.######.#.......##..###.########...#.#.##..##.....###.#####.##.#.........####.#............##..###..#######..##.#.######.####..###......###.#.#...#####.#.########.##############...#####
#...##.##.#...##....###.##......###.##.....##..#.#########.###..#####..###..#####.##.####..##....#.#.##.##........#...##.#.......#..##.#.....#....#.###.##..######...##...###.#.....###.####.#..##..........#.#...#.##.#.##.##.####.....##.#.####.###.####.##.#.##.....##...#######.#.####.#######.#######.###..######.####.......#.##...##.#####.##.#.##...##....##.#..##.#....#.#..##.##..#.##.....#.###.###.###..####.####....#.#.###.####.#.##...##.###.#....##..#......###........########################...#.##.#..###.......#.##.#.#.#####..####.#...#.##...###....#.##..#####.#..#.#.......###.#.###..####.#######.#..##...##...#...##........##.....#..##.#.####.#########............##.#.....##.#.#.#####.####.#
#.#..#.##.#########...######.#.##....#####..#.####...#.#.#.#.#.##.#.#.#####.##.#...#.##.##..####.#.###...#####.##.###.##########...##..###.#...##....##.#..###.....######..##.#####...#..##....########.###.#.#.###.#..#.##.#..#..###.#..#.#.#..#.##...##.....#..###.######.#.#.##......##...#...###.##.....##.##..#....#######.###..###.#...#.#.......##.#####.####.##.##.#.####...#######.#..##.####.....#.#.#.##..##.....##.#####...#....#######.##..#.####.###..##.######.#.##.########.......#.##.##.##.####.#....#.##.###.#####.##.#....#########....###..##.###..####..##.....#.##...#.###.#...#.####..###.#.......#.#.##..#....###.###..###.#.##..#####.###......###...######.#.#.########...######.#....##.#......#
####.#.##....#.##.###.##...#####..##.#.....#########.#.#.#.#....#.#...##....#..##.####..##.#####....#..###.....#..###.#.#.########....##.#########.#....##.#.#####..#..###..#.#.#.###.##..##.####.#.#####........##.##....#.#.##.##.####.#.#.##...##.#..#####.#.##...##..##.....#####.###..###.####...##.##.....##.####.#.#.#.....##..##...#.....#.######...##...#.#.##....#...##.#....##.#.#.##....##.#####........##..###..########.##.##......##..#.##.##.###.##.......#.#.#######.##....#.#.#.#..#.##....#.##.#.####.##.#.#...#.#..#...##.....#.#...##..###..#.#.##.#.##.###.#####.#..#.....##########.#.##.#.#.####.######..##.####.#...##.#######..####.#.#.#.#######..#...#.######......#.##.###.#.#.#.####....##.###
#......####.##.#....#..###..#.###.########..##.#..#......#.####.#.###.#####.##..#..####.#...#....##.##...########.#................##.##.###..##...##.#.......#.#..##.##.##.#.#...##.....##...##..#...##..######.....###.##.......#.##.....#..##.######..###..#.####..##..##.####.#...#.##.#....##..####.#..######.##.#.#...###.#####.###.########.#.##.###..##.##.#.##.####.###..######.......##.###...##.##.#####..#.#########.#.#####..#.#.#.####..........#..##.#.#.###.....#.##...#.##########.##..#.####..#.#..###.#....##.##.#.##.##########.#.#######.##..........##.##....##....##.#.#..#.###.#.#....#........#...#.#####...###.#.###....##.###..#.#.#.#.#....#.#..##.#......##..##.#....#.#.......#...##.#######.#
######.#....#..####.##..##.##...###.#......##..##...#.##....##..#..#...##.#..##.#.##.#..###.##.###...###.#..##......######.#.###.####.##.#.##.###############.#.##....##......###.#..#.#....#..##.#.#####.#......#####....##.######..#####.#.##...#.#.##.#.##.#..##..####..#.##.#.###.#.##...#.####..#.####..###.#.##.#.###.#.#.#.#.###.........####..#..##.##...#.#.##.#.#..#...###..####.#.####...###..#.#.....###.......#.#.#.....#.##########..##.###.#.#.#.###.#####...#.###..###.#..###..##....##.#.##.##.#...##...#.#####..#...##.###......#.......#.#..##.##.##.####.#..####..#.##########.........##...##.#.#####.......##.##.#.#.#.##.###...##.##.........####...###.##.#######.##.#.##.#...###.###.###.......##.#
##.#.#.####.##....#.###.##.##.###...######.###..###########.###.#.##.###..#.##....##.##.#...#######.##.#.#.###########.....#.#...#.....#....#.#.###..#..##.#....#..#######.####.#.#########.#####.#.##..####.###.#.#.####......##.##.##....#.##.###.#.##........##..##.###....#.#.##.......######...##.##.##.....#.#......#.#.#.......####.####..##..##.###..###............##.####..##.####.#.#..###.##.#...#####.##.#.##...#...#.###.###.#.#.###.##..########.......##..#######.##.#.#.##.##..###.###....#.#....#..###.#.....##...####...#.######.#######.#.##..#########....##..#.##.##...#.#.#.##.###.###.#########.###.#.#.######...#.#.##.#.##.###..##.####.###.#..###.#######.##.###########.#...#.###..#..#######..#
#.......##.....##.....#.#..##.#.###.#.#.#..#.#.##.#####.....#.#.#..#.#.##....####.##..#.###.#.#..............###.......#.#######.#####...##.#...#.##.##..#.####.##.###...#.#.#..#.#.#.#.....###...#..#.#######...#.#..##..######..##..####.#.....##.#.##.#####.####.##.#.##.###.#.#..###.#..#.#.###.#..##..##.####.####.#.......##.####.......####..###.##..##.##.####.#.##....###..##..#.#....##.##..##.#.####.....#.#.##.#...###...#.....#.#.....###.......##.########.###.##...##.#.......#.##.....#.####.#.########....##.##..###..#.#......##........#.#..##..##..#..#.#.####....####.###.#...########.####.##.#.....#######.##.##.##......#.##.#.##.......#####.#.##.#..#.......#.##.##.#.##..#######.##...##..#..##.#
##.#.##.####.########.#.##..#.#..##.#.#.##.#.#.##.#.#.###.#.#...#.##.#.#####.#....###.#..##.#.###.#.#.#####.##...##.#######...####.....#.#..###.#.#..###.....#...#...###.#.#.##.#.#...#####...###.#.##..#.#.####.#.##..##.#.#.#..##..##....####.##..#.####..##..##...#.#.#...##...#.#########...###.#.##..###...#....#####.#.#.######.####.#######.##....#.###.##....#.#.#####...#.##..##.#.#####..#.##.........##.###########.#######.#####.#.###..####.##.##..##.#.##.......##.##....#######.#####.##..#.#.....#.#..##.######..####.##.###########.######...####....##.####...##.#####.#...#...#...##.....###.......######.#.##..#.##.##.######.#....##.#####..##.#.#......##.#######.##.......##..#..##..###.####...###.#
#######..######.###.#.#.#..##.##..#.....#.......#...#.#.###.###.#.##.#...###.####.....##.#....#######.#.....###.#######.#.###.#.#####.#####..##.#.##...#####...#...#.....#.#.#..#.##.###.###.###..#.##.##...#.#.....##....#...##..##..####..##.....##..##..##..##..###...##.##..#......##.###.###.#.#.#..##.##.##.####.#.#.######.##...#.####.#.....####.#.#.#.##.######.#...#####..##..#.#.....##.#.#..#################.#.##...##......#.......#.##..####.#..###......###.#.##..###.##.#..##..##....##.#.#.###...#.##..###.#..###........#...#..##...#..##.##..#.#####..##..####.#.#.#...#...########.#####...##.####.#.#..#..#.##..#.#...##.#..#.#####.....##........####..#.#..####..##.##.#.###...##..##.#.##.#.###.#.#
#...#.#.##..#.#.#.........##..###.#####...#####...###....#...##.#.##.##.##...##.##.##..#.####.#.##.########...###..#..#....#........###.####....#....#.......####.###.##.......##.##.##..........##.....###.#.####.####.#...###..##..##..##.#####.##..####.#..####..##.####.#####.#######.#.#.#.#.#.#.##.#........#.#....#.##.#.#..#.#.#..#.#...#####.................####.#####.#.##..##.#.#####......######...#.#.#.#.#....#.#....######.##########.##..####...##.##.##########..#.......##..#####.##....#...#####.##.##.#.##.#.#.########.###.##..###.###..##.#.....##..#.###.#.......###.#...####.#..##.###..#........##.##.#.###.#...###..##...##....#########.#.#....#.##...##....##..######...#..##.#.....#.#...#.#.#
###......##.#.#.#########..##..##.##.#######.##.#.######.##.##.......##..###.##.######.....##.#.##.#.#.#.#..######.##.####.########.##...#.####...#.###.#.##.###...##########.###.#..#######.######.#.#.#.......#....#####.##.##..##..##.##.#..#...#.##..#.##...##.##..#.#...#.#..##.##.#.........#.#.##.#.#.######.####.#........##.####.#...###.####.#.#######.#.####.#..#.#.#.#..##.##.#.#...##.######...###...........#.##.##.###.####...###.##.#..##..##..###...####..####.#.##.#######..##.##..##.##...#####.#...........................#..##.#.#...##.##...#######.#.#.#...###.#########....#...##..#...###.#######..##.#..##.#.######....#....#.#####....#.##########..#.#####.#..##.#.#..#######.#.#####.#.###...#
########.#.......###.#..#.###.##......#..#.#..###.#.#.#..##....#.#.#..#.##.#.##.#.#..##.##.#....##.#.#.#.##.#.#.#..##.#.#..##.###....###...#.##.###.##..######...#.#..............#.##........#.....###.###.###.###.##.#....#.##.####.#..#..##.###....##.#.##.###...##...##.##.##.#.......#.#.#####...##...###..##...##....########...##....#.....#.####.#.#.#####.####.#.##...#.#.###.#..#.#.####.##.#.#.###.#.####.##.########.........#.###.#..#.##..#.####.....####.##..#.#....#.###...##.##..##.##.###.####.#.#.###########.#.#.#.#.####.##.##......####....###.##.##.#.#.#.#######.#.##..######.#..##...###.#...###.#.##..#.##..#..##.##.#####.#.#.......####.......#.##.####...#.#.##....#.###.##.#.#.###.........#.#
#.#......######.##.#.##.#.#.#..######.##...##.##....#.##.##.#.#######...#..#.##...##.#..##.##.#.#..#...#........##......##......###.##.###...##..#####.###..#..######.#.#.#.#.#.#...########.##.###.#####.#####..##.##.###.##.##.####.##.##.##..#####.##...##.#.##.####.##..##....#.#.#.#.#.#.##.####....####..#####.###.###......##.###.#####.####.#.#.........####..#.#....###.#.#.#.#.##...#.#.......#...#.....##..#....##.#..#.#.#####.......##.##.##..#.#.######.#....##.#.####...#.###...#.###.##..#####.#.#.#..........########.#...#####..##.#######..#.####..#.##.#.#................###.##..##..##.####.###.#.#.#..##....##...###.#..###.########.##...##.#.#.###.##..#####.#.#.##.####................##.#.####.#
#.#.####........##............####.#..####.......##...##.########.#.###.##.#..##.###.####...###.##.###.#####.##########..######.##...#.####.######.#.###.##...###.#.#.#.#####.####.##.#.#.#...#.#.###.##...#..#.##..##..#...#.##..##..#..#.....##.....####.##.#.##..#.#..##..####...#.#######.#...######..#.##.##.#..#....##.#######...#.....#.##.....#.##.######.##.##...#####....#.#.#....###.##.######.###.#####..#####..#.#.######.#.#.#######..#.....##.#..........#####.#.##.##.##.#.##.##..#..##.##.#.#.#.#...#.########.#.#.######.#.#.#.###.....#...##....##..........#.#.###.##.##.###.....#######....#..####.#...##..#####.####..##.#....#.#...####.#..#.#######....##.##..#.#.#...###.#####.####.########...####
#.####...#.##.#..##########.###....##.#.#############..#.#.#.#.#........##.##..#...#.#.####.##.....##...##....#.#..##.#.##..##...###.#.#.#...#..##.#.##...#.###...#.######.######...#.#.#.###.#....##..###.##....##..##...#....##..##.##.##.####..#.#....#.#....##.##.##..#.##..#.######.#.#####.##......##.##.##.##.#.#####.##.#..###...########.###....###......##..###..##.####.#.#.#.####.#.....###.#.........####.#.##...###...#..........#.##.##.####..#.####.######..#.#.#........#.##.##.##.###....#.#.#.#.######.####....#..##.####.#.#.#.#.#####.####.#####.##.#.#.#####...#.########..#.#....##.#.####.##.##...#####.##.#...#.##.##.#.####.#.####.###.########...####...##.#.#.#.###.......#....#......####.##.##
#..#.##.##.#..##.#...........#####.#..#.#.#.##.....###.#.#.#.#...##.#.#.....##.#.#......##...#####.####.#####.#.#.##.....##.####.......#...#...##..#.####.#######.#.##.#.#...##.###.....#.#.#...#####.##.#.####.###.#######.####..##..##.##.#.##.#####.#.....####...#..#.##..##.#.#####.....###...####.#.##..#.#..#........#.#..#.#####.###.##..###.##.###...##.#####.#.##.....##.............##.####.#...####.##..##....##########...#.#.#.####.##..#....##.#.#.####..#.##.#.....##.#.###..#.##.#......####.#...#....#.#.#..##.###.##....#....#.#.#.#.#.#.##.#.####...#####.....#.#.###.#.###..##########.........#....#.#..##.#....#...##.#....###..........##......#.###.#....####.#.......#.##########.#.##.#....#.....#
#.##..#.##.####....#.#######..###..##........###.#...#.#...#.###.#########.##..#.######..##.####...#.#...###.........#.#.....##..#.###...####.####.#.#.##..##.#.....#..#.#.#........#.#.#.#.#.###.##..#..#.#....#.#..#.###..#..##.###.#...#....###...#######....###.#.##.##.##......#.###.#.#.##.##.####.##.##.##...##.#####.#.##..#.#...#...##.##..##.#.##.#####..##.#.##.#######.####.########...##...###..########.####.#.##.##..##########.#.##.##.#####.......##.##.#..#.##########.##.#.##...####...##.#.###.####.....##......#..####.####.#............#.#..#.###############..##.....##.#.#.##.#...##.######.##.###.##..##.#######..#.##.....#.####.#..#.#.#.##..##...##..##....###.#...........##.#..#.#.#.##.##.##
#..##.########..##.#####.###.##.##.#..#.###.##.#####...##.##..####...#...#....#####.#.#.##..##.###.#.#.###.#.#.#############..##.###.##.###......#.#.#.##.##..#.###.##.#.#######.##.###.........#..##...##.####.....##.#.##...###..##.###.#.##.#####.###...#.######...##..#..##.#####..##.###..#.##..##..##.##....#######.#.....#.##...###.###...##.##...##....##.##..#.##.##.##......####.###...#.##.#####.####.##...##.#...##.###..#..##.#.....#......##...##.##.##..#.#.##.........##.##.#....##########....#.#.##...#######.#####.##.##.#.#..#.############.#.##...#.#.##....###.####.####...........#..#.........#.##..###.....#.#.##.##.##.#################.#..##.####.#####..##...#.#.##.########..##.#####..#..#..#
##....###.##...#####.................####...##..##.###.##.###..#####.###.####...##.......#.###.#.#.#.#.#.#.######.#.#.#.####.######...#.#.######...#.......##.###......#.##.#.############.#.##...#####.#....######..#.#.#..###.##.##..##.#.####.##..#.###....#...###.###.##........##.##..#..##....##..##...##.#...........#####..###..#....#.####.##.####.#####.###.#.#...#.##.######..#.#.##.##.....#..........#.####...###..#.#.##.##..#.#####.####..###..######..##...##.####.####..##.#.####......###.##.#.#..##.##...#.#.##.......##.#.#.##.#####.#.##.###..###......#.####.####.#.#.###.####.#.#.##.##.#.####.#.##.##.##.##......#.#...#.....##........########...##..#.#.#.##############.##...##############.###.#
###.#......###.##.#..#.#####.##.#.#.##....#..#.##..#.#....#.#.##.##......#.###.#########.#.........#.#.#....#.#.#.#.#.#.#......##.###.###.#.######.######.##...#######.#.#.....##.##.......#.##.######..##.###......##.#.##.#.#.##.#..##..#.#.##.###.#..####.##.#####..##.#..#.#.####...##...#####.####..##.#####.###########.#.##..##.##.####.#.#..##.#.#..#.##...##.#.#.###.##.#..#.##.#.#.#...##.#.##.########...#.#..###.##.#.#.....##.#.#.##...#######..####.##.####.##..#.#####.##.##.#.#.##.######.####.....##.....###.#..##.######.....................#..##...######.##.#..#.#.#.#..#.....#######################.#......#.##.#.....#.#.###....###.####.###..###.##.##.#.#.#......#....#.....#.........#.######.###
#...##.#.#...#.##.########...##.###..##.####....##.....##...#.#...######........#.#......#########.....#.####...........####.###...#..##........#..#.##.#.####..#.##.#.#.#####.##....#.#.#####...#.##..###...######.##.#.##.#.#.##.##.#..##...##..##.#.##.##.....##...##....#######.##.##..#######.#.###.##..#.#.....#.###.#.....##.##.#...###.#.#.###.#.##....##.##..#.#.#.#..#.#.##.##.#.#.#.########........##.###...####.##...#.######.....##.###..#.#..##..#.##..##...##.#.#.#....#.#....#.#.....#.#..#.#.#####..#####.#.#.##..#.##.##.#########.#.#.######.#####.....#.......##.#.#.#.##.########.#.###.#.##...#.#.#...##.########.##.####...######.###......##.#...##..........##.#...####.#.#.###########..........#
###.########...#...##.#....#..#.##..#########.#....#.######.#.##.##..##..#.####.#.######.#..##.....#.#....####.###.#.##......#.###.#.##########.##....#.#.#.#..##.#......#.#...##.#.##.#.##.####....##..#..###.###...#.#.#......##.#..##....####.##....#.....########..##.###.#.#.#.#...##....##......#...##...##.####...#.#.##.##..##...#.#.#.#...##.....#.####...#.##.....#.##...##.#...........###...#.#.#.#####.##.###...##.#.....##.#.#####......##.##..##.#.###..#.####.......#.##.####.....#####.#.##.#.#..#..######.#.#..##.#.#..##.#......#########.#.#..#.##.###...#.#####............###..#....#.#....##.##.#.###..#......########.####.#####...##.######..###.##.###.######..###......#######.....###.##########
#...#........#.#.#......##.##.#.#..##.###.#.####.#.####.###.#.#..###.#..####....#.#.#..#.##..#.##.#####.###..###############.......#.#....##.....####.#.#.#.##.##.######...###..###.######...####.#####...##.#.#.###.#.#...######....##..####....#####.#.#.#...##.#.##..#.#.......#.##.###.##########...####.###..##...#......####.###.#####.....###..###.#...##.###.##.#####....#......##.#.#.####.##.##.#####..##.#....#.####.##.##..#.......##.#.#.#..###......#.##.#.##...##########.#..##.#####..#...##.#.#.##.###...#.#.#.##......###...##.#.#.#.#.#.#...#.##......##.####.....######.###...##.#.####...#####.##.#...#.#######...##.....#.####.....####.#.#.#..##....#.###......#########.#.##......#.#...........#.##
##.###.#.#########.###.##..##.#.##.#..#......########.....#.#.#.##.#.####.##.##...#.##.#..##.#########..#.#.##...........######.##...####..#####.###....#.#.##....########..###.###.#.#....#.#.....######..#.#.#.........#..##..####.#..###.##.#..#.##.######.##..#.#..##...#######.#...#......###.###.###.#.#.##....#.#.######.....#.....##.############...#.##..##.#........#.##.#.#.###.#.#.......#..#.......##..#.##.#.##....#..##...##.#####.######..##.######.#..#.##.########.##..##.##....#..##.###..#.#........###......#.####...#.######...........###....#.####..#.###.#####.###...#.#.......##..#.###.#.##...###.......#.#....#####.#.#..###..........#.######.#...#####.##.##....###....###.#####.#.#.######..#
####.######.....######.###.##.#######.#.####..#.#.#.###.#...#.#.##.#..##..#######.#..#.#.##..##..#.#.##...#.##.########.##..########.#.#..##.........##......##.###........##.#...###.##.#.#.#.#.#..##.##.##.#.############..##..##..##.##..#####.......#..##..#.##.#.#####..#.#.#....#.#.######.....#.#.#........########..#.####.##.######.##..#.#.#..#.#####..###.#.#################.#######.#.#...###.#.######...####..##.#########..#...##...#..##.##..#.##.#.##...#............##.#.....####.##....##.....##.#####.#.####....#.###......#######.##.##.....#.##..###.##..##.###.....###.#.#.###.####.####.#.#....#.....#.##.##.#.##...........###..##.#.#.###.#.###....#.##.##.......##...##.#.#.###.##..#.#........##
#.##..#.#.##.##........#.########.#.#.####.##...........###......#.##..##..##.#...##.#....#.####........###.####.........##.#.###.#..#.##..####.##.#..#####.##...####.####.#..#.#..##.######.######..#.#..#..#.##.....###.#.##..###.##...##..##.######.##.##..##.#....##.#..##.#.###.####.#.#.######.#.#.#.######...#.#.#..##.#.#..##.........##.#.#.##.#..#..##.#.#....##.##...#.#.#.##...##.######.#.#.######.##..###.#..###.#..#...###.#.###..###.##...##.........#.###.############....#.#..#.#.##.####..##.##.............#.#.##...#.#.####.#####.##..#.##.########.#####........#.#########.###.##...#.#......#.##.##.##.#######.##.#.#########.#######.#####.#.#.##.#####...##.##.###########...##...##.#.#.#.##.#..#
#..##......######.##.#.#.##..##........##.....#.#.#.##.#####.###....##.##.##..###....####.#.##.###.####...#..##..#.####.##....#.#.##.#.##.##.##########......###..#.###.#..##.#.##..#..##.#...#..###.#.##.##.#.######.#.#.#.###..#...##.##..###.#..#.#.#...#.##....##.##.##.##.#..##.#.##......##....#.......#.###.##...##.##...##.##.######.##....#.##...##.##..#...##.##..#.###.....##.###..#.#.####....#.#.#..##.#.#...##.#.#.##.###.###.#.##...#.#..####.#######....#.........##..##.#####.##.......###.###..##.#.#.##.#.#.#.#..##.##.#..........#..#.####.......###..####.###.#.#####...#.####.######.....######.#####.##..###..#.#..#........#...##.#######.#.....##.##.#..#..####.........##..#....########.#######.#
##.#####.#........#..#....##..########.###.####.#.#.#####....######.#...#..##..#####...#..#.##...#.#....#...######.#.......##...#......#.......#.##.#.##.###.#.#.##..#..##.##.#####...##..###.#.##.#.#.##..#.#..##..........#.##...###...##.....#.##.#...#...##.########..#......###.#..###.########.#.#####....#####.###...#.####.....#...#.####.##.#..####..#.##.#######.##.#...#####....##.......####.##.#.#.##......#.........#.......#.#..#.###...####..#.#.#.######.#########..##.....##....##.####.....#.###.##########.#.##.....#.##.######.##.####.####.#####.##..##....###..##...###......##.#.##.#########...#.###..##.#.#####.#.#.#.##...###..#.###.#...#.#.........######.#.#.###.#..##.#.##..#.###........##.#
#..#.##..##.#.##.#####.######.#............#....#.###.##..####.###..###.##..##...#.###.##....###.#####.##.###....######.##.#..#.######...#.###...##....####....#..##.##.#......##.###.##.##.....#..#.#..##.#.##..######.###.#..###.#.#.#####.####..#.#######..#.##.##..##.##.#####.....####.##.##....#.....###.##.#.#...##.##..##..#####.#####.##.##.#.###...##.##.....##.......###...###.###.#######..###..#.#..##.#.#.###.#.##.##.#######.##...##..###..##........##.#...###.#....##..#######.#.##......##.##...#...###.#.####..##.##.#..#.....#####.........###.##...##....##...##....#.....#.##..#.#.#....##....##.##.###.###....##...###.######..##.##.#.#.#.#####.##.###.##......###.#########.#.#####.#.#############
##.#.#..##..######..#####.#...#####.##.##.##.#.#####.....###...#.##........#####....##..###.##....#.####....##.#####..#########.##.###.#.######.####.####.####...###.#....##.#..#.#.#.#...#####.##...#.##..#..##..##..###.#.##.#.#.#.#..#.##..#.##.#.##......##.....##.#..#...#.#..#.###....##..####.#.#######........###...#.##..###.##.##.##.#..##.....###.....#.#####..#######.##.####...........#.#####.#...###.###########..#......#.####.####.##.#.###.######......#.......####..##....####.##.#.##..############.#....#######..#.####.###.....#.#.##.######.##.####.#########..#.##.##.####..##.#...##..#.#######....####..#.##..#...####...##.....#.....#....##.##..##.#..#.##...#....#....#.#.....................#
#....##..#.####.###.#.#.#.###..###..##..########.....###.#.###.#.#########.#.#...##..##.#....###.##.#.###.#.##..##.##.#.....#..........#.#....#.#.#...##...####.##.....#.###.##.....#.###...##...###....##.##.##.##..###.........#.#.#.##.##.##.##.#..####.#..####.##..##.#.###.#.####.####....##......#.#.#.##.#####...###....##...#.##....##.##.##.#####.#.#.###.....##.#.##..#..#.##.#.####.#.#.##.##.##...#.......##......#.##.######..#.#....#..#.#.##....######.#.##.##.####.###....#.##.#####.#..#.####.#.....##.#.##.....##..##...#######.######..####...#.##.#.#...###...##.##########.######.#.#####........#..#####.#.########.#......#.###.####.#####.#######..##....##.##.###.##...####.##.#.##.#.#.###########
####.########.#.#.#.#.#.#.####...##.###.#...#.####.#.#...#.......#.##....#.#.######.##....#.##...#..#.#.###..##.##....#####.#################.#.#.###.####.......##.####.#....#####.....###.####.##..#.###..#.##..##.#.#.#####.#...#.#.#..##.##..#...##..####..##...#.##..#..#......##..#.##.######.##.....#.####.#####.#...##..#.###..#.#####.#..##...#.#.#.#####.###..#....#.##.##..#.#.#.########.....##.####.#.####..#########.#.##.#.##.#.####.##.#.##.####...#############.....##.#####......#.#.##..#.#.#.###.......#########.######.#...#########..#.###....#.#.#.###...####...#.###.....###........##.######.#.##.#.#.#.#.#..##..#.#.#.##...#...............#.##.###.#.###..#..##.##.#....######.##.#.#....#####.##
#.##.#.##.#.#.............#.#..#.....######....#################...#..##.#.#..###.#..######.####.#.##.......##..#####.#.##........####..#.#.............#######.#####.##.#.#.##.....###.##..........####.##....##.##.#.###.#######.#.#.##.#..###...###..###.##.###.##..##.##.#.#######.##.##.#.##...#..###.#.#.##.#..##.###..####.####.....#.#.#.##..###.......#.#.#.####.##.#.##....##..........##..##.###...#######.##.....#.#.#.#.......#.#.#.##.##.#.##...##.###...##.##.#.###.####....#..##.###.#####.........##.####......#.####....#...#......#.##.##..#####...#.......#....###.#...###.###...#.#.#.###....#.###.##.....#.#...####.#.#.#..##.###.#.#######.##....#...#.#.#.####.#####..#.##..##..#.##.#.######......#
#....#.#......##.#.######...#.########.#....#.##.##.#.##..###....#...##......##.#.##..##.#....##.#..#######.###.....#.#..####.###....##.#.#############.#..#.....#.#..####.#.###.####......####.#.#.#.##..####.#..##.#.##.....#.##.#.#.##...##.###...##..#...#..#...##.##.#....#.#.##..#.......#######..####........#######.##....#..###.###......##.#.##.######......##...###....####..############.####.##.##.####..##.#####.#.#...####.##................#.....#..####..#.#.###..##..####.#####.####.####.#.#.#.##...#########..#####.##.###.####....#.##.##.#...###.################.###.#.##..#.#.#.#...#.##....#.....#####...#....###.#.#.###.##..#.......###..####.#.#.#......#.##.##.##..##....#######.##.##..######
####.#.####.#.########.####.####..###..######.#........##.#.####.##.#######.##.......##..###.###.#.##..##...#.#####.#.#.###.####..##.#....##....#...#.#.##.#####.#.##.#..#####.####...##.#.#....###....##.##.#.##.##.#..###.#........#....####..#..#.###.###.##.###.#..##.#.####....##.#.#######.##..#.##.#..######...##.....###.##.##.#...##.#####.....#..#.###.####..###..#..##..#.##.#....#.#.#.#.#.#..##.....#.##......##......####.###..#.#.#.###.####.##.####.###...##.....##..##.##....#.##..##.....#####.#..#####.###.#.#.##.###......#....#########..#.###.###...####.#####.##...##.#.#..##.#####.#.#.###.#...###..#....##############...#..##.#.#.#.#...##....################...#######..####.##....#...##.##.#.#
###.....##..#.#.........#.#..#.##.#.##.##..#..########....#.###..#####.......#######.##.##...#.#...###.####.#..##.#.#.#.##..##.####..##.#######.###...#.#...#.##...#..#.##..#...#.#.####.####.########.##.##.#....##.##..###########...####..##...####.#..#...#.##....##..#.#.##.####......##.##..##...##...###.###.####.#.#..#..##.##...####.###.#.#####.##.#......####...##.####...##...####.#...#.#.#.##..#####.##.###.####.#######...###.#####..##.##.#.#####.#.#.##.##..######.##.....####.##.##..######.#####.##.##.#.#.....##.#...#.#.###.#......##...##.#.#.....#..........#.##.####.#...######.######...#.#.#...#.##.######..#.#.##..#.###.##..#.###.#######.####.#.#...#.##.###.##..#####.......#######.##.......#
#...#.#..#########.####.....##.#..#.#...##.##.....##...##.#.#.####.#.#######...##.#..##..###.#.###.#.#.#.##...##....#.#.#..##...####.##.#.##......###...###.#..###.##.#..##.###...####.########...###..##....#.##..#.##.##.#..###.####...##.##..#...##.##.#.#....#.##.#..##.#.##.###..######...##.###.##..#.......####.######...##..##.####.....#......##.#....#.#.###.###.##...####....#...#....###.#.#..##...##..##.#.#####...##.#.#.###.......#.######.###...#......#..#.######..##.#######........######.....##.##.#......##.###...#.#.#################.##.#...#######.########.##........#.....#.......#.###.#.#.#.#.....###.##.#.#....##########.#..########...##.......###.....##.###.....##.####..##..##..##.###.##
#.######...#.##..#####..###....##...###.##..##.##..#####......#.#....#.#...###.##.##..#.##.#.#.##.........###..####.#.#.##.#..#......##.#..####.###.###.#.#.#.###.....##.#...##.#.##....##.#.####...##.#####.#####.#....#....##.#..#.#.#.##.##.###.###.##.######.#.#####.##...##.#.##...##.#.###..#......###.#.##..##..###....####.##...#.###.###.######....####.#.##...##.##.#....#.#.######.####.#.#.#.###.###..##.....#.#..#..........###.#.#.#.#.#.....####.#.####...##......##.#....#.#.#.####.#........###..###....##.#..#.##..#.###.##.#.##...#.##.....#...#..#.#.########.......####.###.#####.#####################.#......#.....#######....#..##........###....##.######.######..#..#.###..####.###.##..##...#####
#.#......#....##.##....##...##....#..##....#######.......#.##.#.####.#...#......#.###.#.#......##.#######.##..##.#.......#.##.###.##......##.#....#.##......#.#.#####.##.##.#####.##.##.##........#....#.#...##..#.####...#####.##.....###..##.#.###....#.##.....#.#..##..###..#......####.#.#.##.##.###.#.#########..##.####..#.#.#..###.#.#...#......##.###.#######.###.....######.#........................###....###.....######.##.#####.#####.#.###.###.#.......#.#.#..######..#.####...#.####.#.########.#####..#############.######....#..##.##.######...#.#.##.....##...#.##.##....#...#.............###.##.#.#.#.#..#.######.#.###...#.####.#.####.##.##..##.##.##..#..........#.##.#######....###.#..##.#..#...###
###########.#.......##.#######.#####....##..#.#....#.#.#.####.#.##...######.#.#...#.#...######..#.#..##....##......#####....#########.#.#..#.##.#......####...#.#..#.....##..#.#...#..#############.##.#.###.###......###.#.##...###.#..###........#.##....###.#...#.##..#####.#.##.####.....#.##.##.#####.#####...##.....####.#.#.#.###......###.###.##....#...#.##..#.#.##.####.#########.#.#.#.#.##.##.#.#..###.#######.#.#.##.######.#.#..#.####..##.#.#.#.#####.#.###.####..##......#.###....#.#.....#.#...#..##......#.##.#.#.#.#..##.###.##...#.#.#.##.########.#######.##.####..######.#.##.#.##.###...#.##.......##.####.#...#...#.###.#.##.###....####..###..#..##...##.#.#####..#.#.#...#.##..##.#.##..#.##.#..##
#####.###.###.#.######.#.......##....##.###.#.############.......##.##....#######.#.###.#.###..#####.###.#..###.#.####.#.##.#...###.######.#.#####.#.#.#....#.#.##.#####..##.#.###.#.###...##..###..#..#.##....#####.##......##.##.####..#..############.#.##..#.#....##.#..##....#..#.#.#####.#..#.....##.#.#.#.###..#####....#.#.......#.######.#.###..####.###..##.#....#.......##.################.#######..........##.###..#..##.#....#.##..##..##......#.#.#.######...#...##..######..##.####.##.####...#.#.###.######.##.#.#.#...#####...##.###.#.#.#...#.#.##.......#........##....#####.####..#.####.##..##.#######...#....#######.#.#.#......##.#....##...####.##..####.#####.#.##.....##########.#.###...#####..#
#.#.#.....########.#.#.###.###.##.##..###.#.#.##.##..#########.#....#####.###........##.#.#.##.#.#....#####.....###......######.#.#.##.....#.#.#.############....#.#.##..##..#.#.#.#.#.##.###.##.#####...##.#####.##..###.##..#.#...#...##.#########..##.#..#######.###..#.##..##.####.#..###..##.#.#####.........##.##.#.##.#.....#########..#.#....##.##.##.##..###.#.#.##.###.#..#............#.#.#.#.....#.##.#.#####...###...###...#.##....####..##.#.#...#....#.##..#...####.##...##.###.#.########...###.#..#....###..##.#.#.#.####.#..####.#.#.#.#.##.##.#.##.#######.##.#######.###.#####.#######..####.###...###.##.##.#####.##.#.#.#.#.#######.##.######....#.###..#.####.........######.#####.#.#.....#....##.##
#.....#.#......##....#.#####...#...####..........#..##.#.#.########.#.#...#.########..#.#.#.#....###.##.#...##.######.##..##......#..#####.#.#....#.#.##.#.#..##.....###.##.##.....#...##.##..#....#.###.....#.#..#..##.#####...###.###.#..........##....######..##...##....##..###..#.#.##.##.##.#.#.#.#.##########..#.#.####.########...##.##.####.#...#....#..##.#...####.#.######.######.#.###...#...#.#####..######..#.....###...###.#..##..##..##..#######.####..#.########...###..#.#.#....###.#.##.#######.#.####.##..#.#..........#.###.#...#.#.#.##...............#..#.......#####.#.###.#.##.##.###.#.....###...##.##....#.................#.####.....##.#.##...##........##.#.##.........##.......#.###.#.###..#
##########.#.#..####.###.########.###.####.#####.##...........#.........#.#.#.#######.#...#.###.##.#.#..##.#####....#####..######.##.##........##...#.#......#####.#.........#####.#.####.###.####.#...#####.#.##.#.###....###.##....#....#.############..#.#.#.##..#.###.#..#.#####.#.#.##.##..#.........##.#.....##......##...####..##.##..##.#.##...###.####.###...#....#....#.##......######.##.###.#####..######..##.##.#.######.#.####.#######.###.##.#.#....##.##...##.#.##.##.#.##...#.####.#.#.##.##.##..........##.##...##########...#.##.##.....##.#####.##.######.######.####........#.#.............#.#.....######..####.###.##.#.###.#.##....##.############..##.################.#######.#####.#...#####.#.##
#.##.##..######.##.#.##..#..##..###...##...#......#####.#####.##.##.#.###...............#...###.##...##.#....#####.##..###...#........##########..#...###.##.#..##.##.##.#.#..##......##......###..###....##.#.##...#.##.###.#..####.##.#.#..##.#.##..##.##........##.#.#.##.#..#.#..#.#.##..##.#.##########.#.########.##..###....##.##..##..#.#..##.####.###......#############..##.#####.#.#......##...#...##..#...######.#....#.#....##...##.#.#..........#.####..#..###..#.##..#.#.##.###.###..#....#..#..##.###.###.##.##.#######......###.#.....###........###....#.#..#..#####.#..#.######...###########.#.#.#####.#.##.##....##############.##.####....##...#.######......##.......######.###..###.####.###.##....#
#.....##.##.#....#.#..##.#.####.#####....########..#.####........#..#.#...#.#####.##.######.#.#..###.#..######.#....##.#.###.####.#.#.#......########..####..##..#.#######.##.#####.#########...##.#.##.#.........#.#.##..##...##....#..#######.#.##.##..#########.####.####.#.##...##.#.##.##....##..#.##.#....#.##....######..#####.##.####.#.#.###..#.#.#...####.##.#.....##.#.##.....##.....####..#.###.###..##.###..#.###.####.#.####..###..#...#.##.#####.##.##...##...##.##.##............#.##.####.##.##....########..#.###.....####.....##.########.#.###########.#.##.##..##.#.########..###.#.#.#.#.########......#.....##..............#.....####.###..###....#.##.#.#..#.#######.##.....##......#.#......######
####.##..##.#.##.....##..#.#.#......#.#.##.....###.#.#.#..#.#.##.##.####.##.#.....#..#........#.##...##..##.##.###.##..#.##....######.#####.##...##.##.#....####.###.##.#####.#.##.....##.#.##.##.....##########.##.#.##.#####.#####.##...##.#..#.#.....##.##..#....##...##..#....###....##..#.##.##.##.##...####..###.##.##.##.##.#......#.#.#.......##.....#..###.#..#.##.##..#.##.######.###...#########.#.##.##.#.##....#####.#......##.#.##...#.#.#####.....#..##.###.####....###.######.####.............##.#####..##..##.#.##.####..#######.....#.#######.#...####.....#....###.#.####.....###............###....##.#...#.########.##.########.####..###.##.#.#.####.#######..............#####..####...######..#.#.#
##.#.###....####.###.###.#...######.##########.........####.##########.#######.#########.##.#...###.##..###.#..###.###....####.#.#.#..#.###..###.#...#.##.#.##....#......##...#.#..######....#.######.#.....##.###....#...#.#...##......###..##...#####....###.####.####..##.#.####.#.######.#..#.......#..###..##..##....##.#.......####...#...########.########.####...######........##.....##.##.#####.#.........#.#..##..##.#.###.####.....#.#######.#.#.#####.##..#....#.#.####.#.....##......##.#.#.#.#.##....#.##.###.......#.#.#..###..##..#.#......#.#....#......#.#...##...#.#..#.##.##.....###.#####.##.####.##.##.##........####........#....#.##...##.#.#...........##.#.###.#.#.##.....##.#########.#.####...#
#.....#####.##.####...##...###...##.#####......###.#.#...#####.##..#...##.##.####.....#...#####.....##.##...##.......###.####....#.##...#...##.#.###...##########.#####.##..#.#...###.#.####.#..#.#.#.#####.....#####.###...##.########...##....####..###.##...##.#......##.....##.......##....###.#.##...#####.###.##.##.##.##.#.##....###...#...###.....###.##...##..#...##...#.####....##.######...#.#.#.####.####.#.####.##.#.##...#.###.###..#.#.##.#.#.####...##...####.#.#.#....#.#######.#.##########....#.##........#.#####...#.##.##.#..######.####...#.##.##.#####.######...#.##.#...#.##.####.....#......##..#######.####.#.##...#.##.####.#....##.##....#.######.##..#.#...#.######.######......#.......#...#.#
##.#.##...#.#..##.##.#####..####.#..#.#.####.###...#####...#....##.###.#.....##.##.##.#####..######..#.####..#####.#.##..##.#.##....###.###....#.#...#.#.#.#.#.....##.#.#..##.###..#..#.##.....##.......#######.#.#....##.###...##......###..####..##.##..####.#..###.##.#..########.##.##..##...#.###..####.##..##.##..###..#..#######...##.##.#.....#.#......##.###.########.###############..#.#.###.#......#####..#.##.###..#.###.##..##.....##.#.##.#......##.####.##.##.......#.##.......#.#.#.#..#######.##....#.###.##.###.#.###.#.......#########.###.########.##.####....#.#........#########.#.#.#.#########.##...#.###########.#########.####.#..#....####.##...#..####.##.##...##......#...######.#######.#####
#..#..###.#.##.#......#.#..##....##.#.#.#.###########.####...##........###.#.....####..#####...##.#.##..#...##.#.###.###.##.####.##.#.#.#.####...###.#...#...#####........##...###.#.##..#.#.#..#######.#.#...#.#.####.#..#.##.#####.##..##.##..##.#..##.##.##.#.##.####.##.###..##...#####.##############.#..##.##.###...##.##..#....#.###########.#.#####.#####.#....###.##..#.#....#.###.#..##.#.......########.##.#..#.##..##..##....##..######.#.##...######...##........####.#############.#.#.#.##.#.######.#.##...#.####.#.#.......#.#####.#.#.##..#.#....#.#.###.....##.#####.#.##.#..#######..#.#.#.##.##.#.#..###....#....#.#.####.##.#.....#####...##.##......########...#.####..##.#.#...####.#.........#...###
#.###.##....##.######.#.##..####..#.#.#.#.#.##..####...####.####.#.###.#######.####.##....#..#.......##.###..#.#.##..........#.####...#.....####.#######.##.##.....#.#.#.#####........#.######.####.......###.....##.....##.##.##.##..##.......##..##..#.##.#....##.##........#.####.###..#....##.#....##..#.###.....##.####..#.##.#######....##.####...###.........####....##.#.#.####...#.#.###.#.#####...#.#..#.##.#.##.###..#.###.#####.##.#.#..#.##.###..##..###..######...####.#.....#########.#........##.#######.##...##.....#.#.###.....#.#.#..##.#.#.####.#..##.#####.....##.#.##.##..#.##...##.#.###...#.#...##.#.####.####.#.##....#.#.###.#.####.#####..######.##.#.###.#....#.##..#.#.#........#.###.#...###.#
####...####.##..........##.##.###.....#.#....#.##..###.#.###########......##.#.###...####...##.#####.#......##.#.####.#.####...##.###.##.##........##....#...#####.##########..##.###.#.#.#.#..##...###.#.#.#####.######.##.##.##.######.########.####....#.#.##.#..#######.###.##...#.##.#.##......######...#.##.####...#.##....#.#.#.#.##.###.....#####.##############.#####..........#.#.#..#........#.###.#.##.##...##..###.#.##...##.#.#..#...##.##.###.###.##.##......#.###.#....#####...##.#..#.######..#..#.#.#####.#.#..##.####...#.###.....#.##..#.#...##.#.##......#.#####..#..####.##.##.####.######.##...####.#.............###.###.#.#.###..#.####.##.###............#.##############.#.###############.##.#.#
##.###.#.##.#######.#.#.......#.####.##.####....##.###.#...#.##.#.#######.#..#.#.##.##.#..######.....######.##.#..#######....####.##.....#####.###..####.#.###..#####.#.#.##..##..#...#.#.#.##..#####.###.#.#.#.#..#.....##.##.##..###.#.#.#.##...##.##.###.####.##.#...##......###.##.##.#.####.####...####...##..#.##.##.###.###..........##..#.####.##...#....#.....#..##.#.############...##.#.##.###..##......##.#..##..#.......#....#.#.##.####.##.#.#.#.#.......##.#.#.##..#.####.#.#.####.#.##.#########.##.#.#.#.#####.##...##..########.####.###.#...###..#....#.####...#.##.#.###.####..#.##.####..##....#.#......####.########.#..........##.##..#.#..#..#..##################.#.#....#.#..######.##.##.####.#.#
#........#......#.###.##.####........##.#..###.##......###................##.#.#.##.##...####.######.#.#.........##.##..##.#..#.#.#..#.#.#.#...####........#.#.##..........#.########...#.#.##.##.##...##.#.#.#.##.#####.....#.##.##.#.#......##.##..#...#..##.#.#..##.####.##.##...#........#######..###....#####...##....#.#...#.####.#####..#####.#....###.#.##.#####.##......#.###.##...####.####...#.##..#########.####...#.#.#.#.##...#.#..##.#.##.........###.############.#.#.#......#.#............###............#.##..##.##..###.#...#...##.#.#...###.##...######.#..#....#.###...##.#.##.....#.##....#.##...##.#.######...#.##.#.###########..##.....##.##.####.#..................##.#.##.....................#
##.#.#.#...##.#....#..#..#....#.##.#....##.##...#####.##...###.#.###.#.##........##..#####...............###.#.#.....#.##..##.#.....######.#####.########.##.#.########.##.#.#..#.....#.....#...#.#..###......#..#.#.####.#.##.##..#.#.#.######...##.###.#.##....##.##..##...######...##.#.#....#..##.#.##.#.##..#.#####.###.#.###...######.##.#.##....##...#.###..##.#..##.######......###.#.......#########.##.##.##....##.################.#.##.......#####.#..##.....#.#.#.##.#.....######...##.#########...######.#####.##.######.###....#.#.#.#..#...#........#...#.#....##.######...###.......#.#...#####.#####.#####.....##.###.##....##.##.##.#.##..######.....#.#.#.#.####.##.###############.#.#.####.#.######.##
#..#.#.#.#.#####.#...#####.#.##.#..##.#....#..#.##....#..#.#######.#####..#.#.##..#.##...#######.###.#.#.#...#.##.##....####..#####.#.##...#####.#........##.#....########.####.##.########...###.##.#.###.##...##.#...####..#..##.#.......#..##.##..#.#....####.##.#..##..#.##.#.#.######.######.##.....###.##.##.##.#..##.....##.###.##.#.##.#.##.####..#....#..##....##.........###.##.#.#.##########.##......##.###.###..##.#.#.######.##....##.####.....###.##..#.#.#.#.#......######.#...####....##.#.#.###....#####...##.##.#.#...#.###########.#.####.##.#####.##...#.#######.####.#.###.#########..##....##.#....########..#.#.###.###...#.#..#....#####...###...#...###..#.##.............##..#.#....#.#.##.###..#
##.#########.#####.#..##...#..#.##.#..##.#...##..####...##.#..#.#...#.#..##.#####....##.##.#.#....##.###.###.#.##..###.######.#.#.###..###.#...#.###.##.#....####.#...##....###.####......###..##.##.#..#######......###.##.##.##..##.#.#.##.##...##.#.####..##..##.#.######.##.#.#.#.#.#####.###..##.####...#......#.##..##.#####.##..##.#............#.###.#...###.######.##.#.########.#......#.##.....###.#####..#....##.##......#.##.....#####....#############.###...#.#.##.#......#...#....#.#####......##.######.#.####.#....##.##...#.#.#.##.......###.....####..###..........###.#...........########.###..######..###.##.#....##.#.##.##.#.##.#####....#...###...#.....#####.#.#.##.#.#.####.###.#########.#.##.#
#..##.#.......##...#.##..####.###..#########.###...#######.##.....#.....##..#..#####...........#.##..#....##.#..####..............####.##..###.#.#.#######.#.##.#.###.#..##..#...####.###.####.##.##.#.##.#.#.###.##.#.......#....#######.##....#....#.#..##.###.#......###.........#.......#...#.##...#.###.#####.##.#..##..#.##...##......####.#.##.##.#...###......#.##...#.#......#.#.#.######....#.####...##.##.#.####...##.#.###.#..#.#..##...#####.##......####...#......########...##########...##.#####.......#.#........#.#######.##.#.#.#..####.#######.##....####.##########.....###########..##..#.#.##........##........####..#...............#..#.##.#...#.#.#.##.###..###.########.##....##...#.#.#.#...####
#####.#######....#.#..#.###.....####.##.#.##.#...###...#.#.###.#.#############.#.....#.#.#.#.#.#.######.#..###.##..####.#########.#.#...##.#.....#.........#.#..#.##....####.#.###.######.#..#.#...#.#..#.#.#..##.#..#######.#.####.##.....##.#####.##.#.##...#..###.####...#####.#...#.#####.###.#..###.#....###.....##.##.##....###..##.#....#####...########..##.#......######.##.##............#.####.#..####.#....##.##.##..###.#.#.##########.#.#.#....#.##.#.######.#.##..#.##.####....##.#..#.#.....##.#.#######...####.########..#.##.#.....###.###.....#....##....###.#.##...#####....###....##..##.#.#....#####.###.########.###...###.#.#########.#######.###.###.####.##.###.....########.###..#.........#...##
####.....##.######.##.###.#######.#..........#.#...###.#.###.###.#....###.##...###.#.#.###.#####..###...#.##....##.#....##..#.##....##.##..#####.######.####.##.#..####.#......#.#..###...##.#.###.#...##.#.##..####.####........##..#####..####.#...#...####.#.##......##.##.....#####..#..........##...####.#.##.####..##..#.#####..##..###############.###.##.####.#.##.##.#.######..#.###############.##.###..#.#####..#.###..#....#.....#.#.#......#.#########.....##.#.###.#.##....##.#....#.####.######........##.##########..##..##.##...##.##.......##.##.##..#.#####.......###.#.#.####.#.####..##......##.....###.#...###........#...###.................#..##.##.....#..#...##.##..#...##...###.#.#.#.#.#.###..#
#..#####............#.#...##.#.#....###.###.######.#.#...##..#...####.....####.....#.#.##..#.....##.###.#########....##..##....####.##.###.##....#.##.###.#.....#.##..######.###...##.###.#..#...#.##.###.#..##.##...#..####.##.####..##.#.##....###.#.###....#..###.###########.#########.##.#####.###.##..#.#.##.##.##.###......#..####......#.#...###.......#....#.#..#.......##.#..####....#..#.#.#.#.#..#.##...#.##..##.#.#.##.####.#####.#.#.#.####.....#..##.########...#......########.#....##...####..#.#######..........##.##.###....#..#....##############.######.#.#######.#.......##.....###.#..###.###.#.#..##.##.##.#.#####.##.#..##.#.##.##.###.##.#####..##.#.#...##.########...######.#.###.###.#.#.####.#
##.#.....###.#####.######.##.#.#.#.##########.#.#....###.###...#######.##......#.#.#.####.########........##......##########.#...##....#.#..####.#.#..##....###.#.#..###.##....##.###.##..##.###....#.##..#.##...###.##.#.....####.#.##..#..####.##....######...##.#......##.....##.....#...#..#..#.#.#..##.#.#..#.#.........#.####.##.#######.....###.##.###.###.#####.####.#.#..#...##.#..####.##.#.#.#.##....###...###.........#................####...#####.###.......##.####.###....#.#.#########.###..#.##.....#.#.##.#######......#..#.##.###.#.......#.#.##.#####..........#.#.#.#######..###..##.#.######.######.##.##.#.......##..####..#.#.#######.####...############.###.#.#.##...###.#..###..##.#######....###
#....#.#.#...#.....#.##...##.#.#####......##....####.###.#.#######..######.#.#.#.###.#.....##......##.#.###..#.##.#....#..######....##.....##........##..####...#.##..#...###.##...#...##.##.######...###....##.##....#.###.#..#.#....##.##..##...##.###..#...#.##...##.#..###.#..#.#####.######.####.##......#.##...#.###.#.#...#......##########..#......##.#.####.####..#####.##.####.##.##.#......#.#.##.####...###.#.###.#.#...####.###.###.#......#...........########...##.##..#.##........##.#.....##.##.#.#......#....##.##.###...##..###.####.#.##.........#.#..###.#.####.#.#..#....##...#####.#..........##.####.##...####.####..#.#.######.#........#.###.#.######.####.......###...#...####.###......###.#.###
##.#.#.#######.#.#.#..###......##.#######.#..##...#........#.##..##.#.##.###.#.#...#####.#.##.#.#.##..#...##.####.##.#...##.##...##..##.##.######.##..####.####....##...#..#..####.###.......#.#....#...###.##...####.#.#.####...###.##...##..##.##..#.##.#.###..###..####.#.#.##.......#....###...##.#######.#..##.############...####..........#.##.#######.............###.##.##.#.#......#...#.####.#.##...##.###.#.#.#####.#.#....########..#.##.###.###.##.##........#.#..#.###.#....#########.#.######..#.#.####.####.###..#....##.###.####..#.##############.....##.#####.#....#.##.#####.#####.#.#.###########.##...##.#########.##...#..#####...######.###......##.#...#.#.#######.###.#.###..#...###.####.#.#...#
#..#.####.#....#####.##.#.##.#....#.#.###...##..#...#.#.##....##.............#.#.#.#.....#.##.#######.#.######....#####.##.....#.#..###.#....########...#...#.####.#######.##..##...######.#.#.##.###.#####..##.##.#....#.##.##.###...###.##.###.##.##.#..####..#####..#.###.####.#######.####.###.##..##..##.#.###.#.##......##.#....##.##.#.##.####.......###.#########...#..#.#......##.###.#######.....##.##..###...#...#######.##......#.####..#...#...#..#..##.#.#####.#.##..##.#.#####.#..#.#..........##.#..###....######...#####...####.##.............#.######.....#.##.#.####.#..###.#...#.#.#.#...........#..###..#..#....#.#..#.######.#.#.######.######.#####..#.###.#....####...###...##.#.#######.##.####.##
#.##.##.....##..##.........#.##.#.....#.######.###.##.#..##.#....#.#.#.#.#.###.#.#####.###.####....#..#.#.#..###.##.##...#######.##.#...##.#....###...#...#................###..###.#.#.####.#.#####...##.##....##.####...##.#....###.##...#.##.....##.##.##.##.#...##.#..#..##...#.##..#.##.#.#.#.#..##..###.#.##.......#.#########.###############..###########.....###.###.#####.########...#####.##.#.##...#.##.#.###.###.##.##.##.####.....##.######.#.##.##.##.#.....#.#.######.#####.#.#.##.#.##.###.###..####.##.#####.##.#####.#####..#.#..##.####.#.#........#.#.#.#..#.#...##.#.##.#.#.###.#.#...###########.##.#.##.##.##.....#####.##..............##.##..#..##.#.#.....####....####..#.......##.###.......####
#..#.######.###..##.#####.########.##............#############.#.###.###.###...#.#...###...#.###.#...####.#.##.####....#...#.###.#..###.#..####.#.###########.#.#.#.######.#.#.##........##.....##.##.##...####.#..######..#.#.##.#....###.#..#.#.#..#.##.##......###....##.#####.#..#.##..#.#.#.#.##.##.##...#.####.#####..##########.....#.#.###.##..........##.#####.###....##.#.#.#.#.#..###.#.#.##.#####.##..#....##.#.......###.....#.###.####...##.#######..#.#.#######...##...................#..##...#####....#####.#.#..........#.##.#.##.############.#.##.####.#...##.#.####.#.#..............#.......#.##..#........#.########.##.....#.##########.....#.##.##......#.#..#.##.####.##.###.#.#......#.####.###.#
#.####........##.####......#####...#..#.###.##.#####...##......#.#...#.....##.##.###.....###.....#.###.##.#.#.....########.......####...##.##.....##..####.####.#.######.......########.##..##.##...#.#..###....#.##..#.##......#####.##.....##.####...##..#####.##.##.####..#.#....##..#.##.#.#.#.##.##..##.##..#.#....#####.##.#.###.#####.#.#.#....##########...##.#..###.####...........###.........###.#.##.##.#####.#.#########.#.#.#...###.##.####.......#.####.....#####..#.#.#.#.#.#.#.#.#.#########..##.##.#####.#.#...###.#.#.##.#..................###..#...##.#.#.......#.#.#...#.##.############.####.##.##.######.............#.#########...#..##.#.##.....#.###.#######.##..#.#.##.#######.##.###....#.#...#
#....##.#.#.######.#########.##..#.##.####..##.##....#..######.#####.###.#..##################.#####...##.#.#####.......#..#####..###############.#..##.........####...#######..#.#.##...##.#...###.#.##..###.#....##.#.##.##.#..##....####.##..##.#.#####.......##.##....##...##.#####....#...#...##..##.##..#.##...##....##.##.#.......###...#.#.##.#.....#..##.##....##...#..##.##.##.##.#.#.#########.#.#.#...........#.#.#.#.#.########.###........##.#.#########.#.#.....#.####.###.#####.#.#.........#####.##...#.#.#.#.#######.#......#.#.#.#.###.##.#.##..##.###..####.#.##.......#.###...........#.####.#.##.........#.#.###########..#.#.##.#.#...##..#....###....####.####...#.##...........##..#.###.######.###
#.#.#########...........##.#.#..##.#..##.##.##..####.##........##....##..#.###.###.###.....#...#..#..#.......#....#.#.#...##.....##.#.##..#.....#.##..###.#.#.####.###..###.###......###..####.###..#.###..#####.#..#.#..#######..####...##..####....#.####.####..#.#..######.##.....##.####.###.#####.#...##...##.#########.......#.#####.#.###...####.#####.##.....##..#.#...###.####..####.#..##...##..#.#...####.#.##.....#.#....#.###.#...#.#############...#.#.###.##.####..##....#....##.#.#.#.#####.....#....###.#..........######.##.#.###.#...###..#..#.##....##....#.####.##.#.#######.#.#.#.#.##....#.#.#..#.#.##.####..#......#.##...#......#.#####.#.#.#########.##..#.###......#.#.#.#########.#......##....#
#.#.#.##..#############.##.#.##.#####.#.....##.#########.#.#.######.##..#####..#.#.#...#.#...#.##...###.#.##...#.####.##.#####.#.##...###...#.#....#.##.########....###.#.#.#.######.....###.#.#.##.#.#.##...#.####.#.#.##..##.#.##..#.#..##..##..####..#.####.##...##.##.#....##.#####..#.#.###..##...#.###..###.....###.##.##########.##...#.#.###.##..........##.####.####.##......##..##..#.###.#####.....#....#.#####.##.....####..#..#####.##...##.#####.###.....###.....######.#.#.##..#.#.#.#.....##.####.####.....#.##.#.#..##.##..###...#.#.###############.#####.###.##.########.#...#.###.#.#..#.####.#...####..#..##..##.######.###.##.######.#######.#.....####...##.#..##.################.######.##.###.####
#.###.##.##.#.#..........#...####.#.####.##..####......#######..#.#####..##.##.......##############.##..#..##.##.#.########.##.#..###.#.##########.......##....####...............###.##..............#.#..###.##.....#..##.#..#.##.#####.###..##..#.##...##....###..#....#.##......##..##.....##..###...##..##.#.#####.#.#....##.#.#.#....#..........#.#.###########.#####.#..#.#.######.##.##.##...##.#.#########################.#..##.###.##.#..#.##.#.#.....#.###############.#..#######.#.#.#.##.##..#...........###.#.#..#.##.....#.###..###.#.....#.#.##.#.#....#.#####...............#.#...######...##.....#.#..#.##.####....####.#...#.........###.##.######.#......####.#.##..#.#...#.####...#...##....###...#..#
#####.#.........#.######...###.#....##...#######..####.##.#.###.......####...##.#.#.##.....##.#.###..##.##########.#.#.#.......#.###.......#.#.########.######.##.####.#.#.#####.##.#..##.#.###.##.##.#.##...#.#..###.#.##..##.#.##.####..#...##..##.##.######.##.##.#.#########.######..#.#####..##...#####.##.........#.#.####........#.###.##.#.##...###.##.##.....#.##..#.####.#.##.###..#...###.......##...#.#.##.##.#.##........###..........####....#.###....#.#...###.##.#.##...###.#.#.###.##..#.###.##.#.#.#...#.#.#.##..#.#.#.#...#.#######.##..........######.###.##.#.#.#.#.#.###########.##..#....##.##...##..#...##.##........#...#.#.#######..#.#.#.####.##.####.#.#..##.....###..#.#.###.###..##.####.##.##
###.#.####.#.#.#####.....#.....####.#..###.#.#.####.............###.#..#.###.###########.#..........##...#.#...###.#.#.####.##.####..#.#.#............#.#.##...#....########.....#....#####.##...#.#.......###.#####.....##.##.#.#...#.##.###..##....##..#####....#..#....##.#.#...##.#.##...##..#####.##.......#.#.#.#......#.#.##.#.##########.####.#........##.#.###.###....##........###.#.###...#.#.#....###...#..........####.###.#.#####.##...##.##.#.########...###.#..#....#####...###...#..#.##..##..#.#.#.#.#######..####.#.#.#.#.###...##...##############..#.#.#.########.######.##........##.##.#..#..##.##..##.#.#...##.##.#.##.#.###...###.#.##.#.#....####......#.#.##..#####.##.#...#.#.#.#.#####.##.#...#
#.#.#.#..#########.#####.#.###........##.....#.#########.#.####.#...##...#.....#...#..#####.#.##.##..#####.###.#............#..##.###################.#...####.####.#..#####.#.#...####.#######.#####.####......##.#.######..#.#.#.###.##.##..##..######..##.####.##.#.####..#...#..#.#.##.####.###..#.#####.######.#.##.#.###.#..######.#.####.....####.#.######.####..#.#.#####.###.####...#.#...#.#.###.##..##.###.########....####........#.#######.####......###.###.#...##.######.#.######.##.##..#.##########.#.......##...##############.#..#.#..####.##..#..##........####.#####.#......####.###..#####.####..###..#######.##..###.##.#...#####.#..........#####.###.##........######.#..#.###.#.#.#...##..##...###
#.....##...####.#..###...#.#####.##.#..##.##......#....#####..###.#..###.#####.###...##.#...#.########.#.#..#....##.###.###.##.#......#.#.####.##.##....###.##...##...##.#...#.###.####.#.....####....#....#.##....#.#.##.##...#....##..#.#..###.##.##.#.###.##....#.#..#.##.##.#####.#.##..#.#.#.##.#.#.##.......#.######...#.#.##..#......#.#####...####....#.#..#.##...#..###...#########.#.#.#####.##..##.##...##........#.##......#.########.#.......##.####...........####.#.##......##.#####..##.#...###.#########.##.##.#........##.##.#.#########....##.##.###.########.#....#.....##.#...####.##...#.####.##...#.###.#.##..##..##..#.#.####......##.##.#####.#....#..#.###.#####...#.##.#.#.........#####.#..#####
#####....###.#....##.###.#.#..#..#..########.#.##.###.##..#..######.##..........####.#..#.#####.#.##.....##.######..#####...#########..............##.#......###.####......#.#####.#..#...###....########.######.#...#.#...###.###.####...#.###.....##...##..###.#...#.##.##.##.##..#.#.#..##.#....#.#.#..#.##########..##.###....##...######..##.###....#.#.##.#.##.##.###.##.#.###.#...###.#.#.....#..####...#.####.#.##.#.########.##.#####.##...#####......###.#.######...........####......#.##..#.###......#.##.########..##########........#.##..#..####...#.#....######..#.####.########.#.#.##.###.##.##.#..#.###.#.#....#.##..##..######.#..#.#.###..#.........#####.#..##.....##.##.#......#########..#....##...#
##.##.##.......##........####.####.##..#.#.#####.......##.##....#####..#.#.####........######......#.###.#.......#.##.#######.#.##############.#.#....#.####.#........##.#####.....##...###...##.###.#.####.##.#####.#.###.#.#..##.##.###.#.##..########.###.#.#####......##.##..##.#.#...##....####.#.#.##.#.#....#.##.######.####..#........###.##########.#..#.#...#...#.##.......#.###.#.#.#.#.########..#........######.##.....####.......##.###...##.#.#..####......####.##.###..#.######...###.#.####.#.#.............##.....##..##.######...##.##.##..#.###...####....##...#......##.#####.#..#.#.####......##.#####.#.############.#.#.##...#######..##.#.#########.###.####.##..#......#.##.........##.#.##....###
#...###..#.#.#.#..##.#.#..##........##...........##.##....#####...##..############.###..##..######.#.#...######.####..#.#..............##...##.#.##.#####....#.#.##.#######.####.#.###.#########.#.#.#.#.##.#..###.........#.#.##...#.##.....##..#.##.....##.#..#.####.####...#.##....#.###..##.#.#......##.....####..#..###........########.###.....####.####.##.##.##.###..##.######.##........#...##...#.##.##.##.#########..#.#..#.#.#.#.#....##..#..#.#.##....###.#.#####..######........#####.#####.#######.#.#.#.#.#.##..#####..##...##.#######.#..##.##.#.#.#####..#####.###.###.###.#.#####.##....#.#.#########.###.#...#.#.#.#..#.#.#.#..####..#.##.####...........#####.#...##...#.#.######.##.######.#.#########
###.##..####.#.##..##########.####.####.#.############.##...##..#######.#.#...##.#####.####.#.#..#.#####.##......##..##...###.#.##.#.#..#.#....#######.#####...#######...........###.####...##............#...##...#######.#.#.##.###..####.###.##.######.##...##..##...#.#.###.###.###...##.####.#.######..###...##.##.##.#.####.#.......####.##.##.......##.....##.#...###.........#.##.#############.#####..#######..##.##..##.##...#.#####.##....##.####.##.###########..#.####.##.#.##.#..#.#...#.#..#.#.#.#.###########..#######.#..#.....##..#....##..##.........##...##.......####.#.....##...#.##...#...#...##....#.#.###...#...####...#.###.##....#....#.#.###.#####.###.###..##.##.#.....##.#####.##......#.###.#
#...#..##....#.#..##.......#####...#..######.##.#.##...####....##...##......#.##.##.....#.#...##....####.#######..##....#...###.#..#.##...###.###.#..........#..#.###..#.#.##.#.##........#.#..##########.#.###..#.#.........#.##.##..##....#.#..#..##.....##.##..####.##.#..#...##.#.#.###..#.#.....##..##.####.##........#....#.#########.#......##.#.#.##..#.#.##.#.###.#.#.#.#.#...............##....#.#####.##....##.....##########...##############.#...#.........#...##......##.#.##.#.##.#.###.##.......####.#.#.#####.##...#....####.#####...######.##.##.#.####..#....####.##.##.#.###....#....#####.###.###..##.#....#..#...#..##..#.......#..#############...............#.###.###########..........##.###.#.#.#
###...######.####.########.#.#...####......#.........###.#####..###..###.#.##....#####.##.###..##.#..#....#######.#..#.#################.##...##....###.##.#.####.#.####.#.#..#..###.#.####.######...........###.#.####.##.#.#.....##..###.##.##.#.#######.#...##..##..#....##.#.##.#.#...##.....##.##..###...######.#######.####.......###...##.#..#######..#######.#.#.#...#####.#.#########.#.######.##.#.##.....####..##.###.#.....#.###.##....##.###.######.#.######.###..#.##..#.#..#####.....##.##.###.#...........#.##..##.##.#.##.####.##..###.####.....######...###.#.#######........#.##########.#..........######.###.####.##....###.##.#...##.#.#..#.#..#####.#.#.#.#.#####.....#.#.#...#.#######.###.........#
#.##.##..#.#.######.##.#.#.#.#####..######.#.######.##....#.###.#.#.###..####.##.....#..#.#...######...##.........######.#.##.##.##.##.#####.########...##.####.#.#.##############.######...####.########.##..######.....###.#####..##..##.##.##.....##..#.###....####...#####.####.#...#####.##..###..##...#....##..#.###.#.############.##.######..#.#..##.#.#.##........#######.#.......#####...#.##.........#####....###...#...#######.#.#..##....#.#.####.###.........#####..#.########.#..##.##.......###.###.#.#####.###.##.##.###....#...##......##..###.###..##.##.###.....##..###.#.######.####.#...##.##.##.#..#....#.....################.#......#.##.#.##.###########...##..###.......#############.#.##.#.#.##
#.#...##.#...#.#.##.#.........#####.##.###.###.##.#######.............#####.########.##.#.##.##.############.####.......................#.####.##.#####..#####...........#####.#.#.##.#.###................##...#.#..#.#.##....###.##..##..##.#..#######.....####..#.##.####.#..#.#.#.###.#....#.##...####.##.######..............###...#.##.....#####.#.##....#.###.###.#...#.#.####.###.##...###......######.####...#.##...#...####..##..#...###.####..........##.#.####..#.#####.#.#.##.#...###....#.#########.###.###.#..####......##.####.###..########.#####.##..#......#########...#.###.##..........#..#######...##.####.#######.##.#.#.#.######.###..............#..##.#############.##.#.##.#......##..#.#########
#.#.###....#.#........##.###.##.............#......#......##.##.#######.##...###.#....#.......#.#.#.#.#.##.####...#.#####.#############....##.........#.####.#########.###.#.#.#...#.....##########.###.##.###.##.########..##...#.#..####.##...#####..#####.#.#..##.....#.#.#.##.#....##.#.#########..#.#.####...###.#############.##.##..#.#####.#.#.#.##.####..##...#.#####...##.#####....#...#.##.#.....##.##.#.############......####...###.####.#.###########.#....##....######.#.#....#...######..####.......###.#...##.#..#######..###..#..####.##.....###..##.#.#######..###.#.#####......###.#.#####.......######........#.#.#.#.............###.########.###.###.##........###...#########...#######.####.#.#.#.#
#.....##.#.#.##.##.#.######...#############.######.#####.##..##..####...####..#..####.##.##.###.....#.#.##.##.#######..####.#.#..#......##....#.#.###.###.....###.......##.#...###.#####...##.##############........#.#.##.#####.#.##.##......###...##.##.#..#.##.####.###.#...##.##.###........#.##..##....###.###.#.#........##...#...##....#..#.#.#.#.##...###.##.###..###..###..##..#.##.##.##..#.#.#.###..#....##.#.##....##.#.#......#.....###..#.........#.###.####..#.##...##.....##########.###.#....#.######..#.###....###.#..#.##...##.###.#..##.####.#.##.........#..##.#.#.....##.#####.#######.##.###.####....##.#####.#.#...#############...##.....########.....#.######.###.##....##..###.###....##........#
##.##.####.###..####.#..#.###.##..............#.#.....########..##..##.##.###.##.#.#..####...######.....##....#.######...#..#.##.######.#..#.######...#######.#.######.##..##.###..##.####....#...###....######.#.#......###..........#######.....###.....##.#.....##....#.#.###.......#.#.######..##.##.#.##.#.#.#.....###.##..##.##.####.####.##.#.#.#.#..#.#.#.#....####.#.#####....##..####.##.##.#.#...##...##.......#.############.#####.#...#.##.#########..##...##.##....###..###.....#.##...#.###.########..##.#...####.#.#...##..##.##....#.#.##..#....#..##.###.####.###.#.#.#####....#.#..#.#....#########.#.#######.##......#.........###.##.##..#.###.....#..########.##..##.....####..###....###.###.########
#######.##.######.#####........###.##########.....##.##.#..####....##.....#.#.##.#.##.#.#..#..##..##.##..####.....#.####.##.#.##.#.##...#######..#..#...........##......##.#..#.#.##...######.###.#.##.###......########..#..####.#.#..##..##.###..######.##.#.#.#####.#.#.....###.#####.###.##.#.##..##.###........#.###.####.##.....#.....##..#....#...#.####...#.######.....#.#..#####.####...#..#.#.#.###..#.##.#.#.#........#.#..##..#.####.#.#.##.#.#.......####.#########...##...#######..#.###..#....#.##.#.##....###....#...###..##.....##......##.#.####.##....#......##......#.#.##.###.#.##.#.####.#..##........##...##.####.###########.........##...##.####.###.##..#..##.##.#####..#.##.##.###.......##...###
#.#.##..####.#.##..##.#####.##.#.####.#.##....#.####.##.#.##..##.########.#...#...........##.####..#####.#.######...#.........##.#..###.###.#.##.#####.#.######.#######.##.##......##.##.##.......#.#..##..########....##.##.##...####.###......####..###.##.###.##.##.#####.###.#..##.#..#........##..#.###.##.##.#####...#.###..#####.######.##.##...###..####.##...##.#.###.....#####.....###.####.#.#.####.#..#.###.#.##.#.###...####....#######..#.#.#.#####....#.##.#....##.##..####.#.##.##.###.##.####.#.......##..#####...###.#.###.##.##########.....##.....######.##..##.###...#..#.#.#.#.#...........##..#.########.##....#####....#.....#####.#########.......#...##...###.##.....##.#.........##.#.####..#...#
#....##.#.##.#..#.###.......#..#.##......#.##.#.#..#.......##.....#..###..###.#.#######.#.#..#.##.###.......##.####...#.#####....##.#.###.........#..###.#...##..##.##......#####.##........#.#.#...##.###.###.#..###.##..#######.##.....######..#.#.##.#.##..#..##.#...##....##.#.###.#.##.##########........#.##.####..###..#..##.#.#..#.#.#.##..#####.#.##.#.....#.......##.#.#.....###.#..##..#######....#.#.##...######.#.....###.####.##.##.#..##........###.######...##.######..#.#....#.##......#..#.....#.#.#####..#.##.###.#.#......#######......###..#.#.#....#######....##..#...##.........#############.###.###.#...##.###.#.##.#...#####...####.###.#..#####...#....###.#.##.######.#.#.##.#.##..#####..######
#.##..#.#.##.##.#...##########...#######...#######...####.#######.##.#.##.#.#.###.#.#.#####.##.#..##..#.###.#.......#######...##.......##########.##.#######....##.....####.##.#...################....#.###.#.##.#....##.#.#.#.#######.###..##.##.#.#..#..##.##.##.#.#####.###...................#.#..##########...#.##...##.#.###.....##.#......###.#..#.##...#.#####.#.#..#.####.##.###.######.....####.#.#.#..#.#...##.#####.#........#.#.....##....#.#.####.####.#.##.#####.#.#..##...##...#..##.###.##.###########.####............#.#####.##.#.##.#...##...######...##..#.##..####.#....#.###.#####.#.#...##...##...#.#.###...........###.......####.......##..##.##.#######...#.....#.##....##########..#....##.##.#
#####.#.#....#..#.####.#.#.#.###..#.#.####.#.##....#.#.....##.#...............##.......#.#.......##..####.....##.##..#.#..###.##.#.#.#..#...###.........##.####.#####.##.......##.###.#.##.#.#....##.#...##....##.###.##........##...##...##.........##.#.###.##.##.#.##.##.#.#.########.##########.##...#.#.####.#.#..#.###......##.####....##.###.#.##......#.#....#########....####...#..##.########.######.#.##.#.#....##..#.####.#.######.####..#.######.##....#.......#.#..#.##.##.########.#####.#......#..#.#....##.#.##.##.#.#.##.....#.##....####.#####..#...#.#....##.###....#.#.##.###.............###..####.###.#...#.######.##...#.#######....########.##...#..##..##.###.#####.##.##..#....##.##...#####.##.#
#..##.#.####.##.#..##......#.####......###.#..####.#######......#.#.#########.##.#####.....#.#.#######.#..######.#..##.##......#####.##...#.#.#######.#................####.##..........##...###.######.######..#.#.#....######.####.##.#######.######....#.#.#..##.#.##..#.#....###.#########...##.##.###....#.######.....##.#####..#.##.#####........#.###.#####.#...###.#########.######......##.##.......#.#.##.####.#....############.##.....##.####..#...#.####.####.##.#.##.....#..#..##.#....##.#.######.##.#.####....#######.#.#..#.#....#.##..#.###.....##.###.#.#.###..##.######.##...##.###.##.#.###.##.###..#.....###......###..###.....###.##........#..#.######..##...##..###......##...#####..##.##.#.#.##.#
##.#.....##..#..##..######.#.#..######.#.####.#....#.......#.#.##.###########.####...####.####..#.#.#....###.....##.##....###.###.#...##.##.....###...#.#.#.###.##.#.######.#####.#.#.#....#...#...###...##.###.#.#.########.##.#.#...#..##.#...#.##.###.##.#.##.##...##.##.#.####.#....#....#.####.#...#..####..#.#.#.#####......##..........##.#.###....####.#.#####..#....##.###......##.##.#.....#.#########..#..##..#.#.#####....##.#.##.#####..##.##.#.###........####.......#####.##.##..#.#.##....#.##....#.#....###.##.##.#######.#.##.#....##.....#####......###.#.##..###....##...###..#...######........#.##...#.#.....##.##############.#....##.#.#####.##..#.#.##.##.####.##.##.##########.#.#.###..#.#.#.##.#
#..#####.###.#.####.#.#..#.#.##...........#.#.####.#######.#.####.##........#....###..##...####...#.####.#...###..######.####.#...###.#..#..#.#.....###########..#######....#.....###.##.#####...###...#.............#.##.....#.#.#.#...##....#....#.##...#.#....##.####.##.#....#.#.####.####..#.....###.###.#.##.#.#.#.##..######..#####.##..###..##.##....#.#....#####.##........###.##...###.#####.....#...#.###..##.#####.#.#.#####.#.#....#.##.#...........########.#..#.#####.#.#.....##.#.###..#.##..#.####.#.####.#............##.#.####.#########..#.#..#.##.#########.#.#########...##.##.###.##..########.##.#######.#..#...#.#.##.##.####.##########.##..#.##.#.##..#...#............#.#.##.#...#.#.##.#.#.#..#
##.#.#.#.....#.##.....##......###.#.#.###.....#.####.#.##..#.#..#####.#.###...####...##..###.##.###...##.######..##......##...###.#.#######.####.#.###.#.#.#....###.##.##########.#########....#..#..#.##.#####.##.#......#.#.......###.###.####.###.####...####.##..#.#..#...####.#.#.#.......##.###......#................###.#.##.##.#####.############.###.#.####.#.#..##.#.#.###.##########.#.##..#.#...#.#...########.#................####......#######.####.#..#....##.......#...#####.....#..#####.##.##.#..........###.########..#.#............##...#.##..#...##.######..##....##.######.......##....#.#.#.#........#.#.####.............##..#..##.#.#....##.......##...#...##.#########.#....###...#.##.......##
#......#####...####.#....##.#.#####.#.#...###.....#.......#####.##.######...#.##.###..##.#......#.##.#####.##.##..######.########.#..##.....#..#.####........#.###.....##.##.###..#..##.....#.###...#######.#....#####.##.####.#.#.##.....#####....#.#....###.....##...##...###.##.#.#.#.#.##.##....#.##.#...###.#.#####.#.##......#......#.###...###.#.#........#.#......#########.#..#.#.#...###.#..##.##.##.###....#.#.#...#########.#.##......#.#.#####.####.#....##.#############.#..#.#..#####.##.#.#.....#.#.#.####.###....###...#######.#.###.##.####.####..####.....##..#.##..########...###.###..##.#.........######.###....#.##.##.#.######.##.##......#####.###.#....##########.#.###.#...####.#.###.##.####.###
######..##...#...######.##..#...##..#.##.##...###...#.##.##......#.#.#..#####.#..#.##.#####.###.#.#..#.##.....#####.######.####...##..#####.##...#....#.####.#.#...#.#.....#.#.#####..###.#.#..###.##.#.#.....#.##.....#####.#####.#####.###..###.##.####..######.#..######.#.#.##.#.....#######.#######.###...#.###.########.####...##.#....#..###.....###.##.###.#.####...##.#.#....##.....###.....###..#############.#.###....##...###.#..#.#.#######......##...####.....#.#.#......####.#.##.##...#.....#.#.....#....#...####.....#.#..######...#..#..#.#....##..####.##.##.##.##.##.##.....###############.#.#.#.#......###...#.################...#.##.##.#..##.#...#.#.#####..##.###.#.......#.##..............##.#.#
#######.#######.##.#.#####.####..##.###############.########.#.#...#...##.....##......#.######....##...##.##.##.....#...#.....###.###.#.....########.####....####.######.#.......#.##...########...##...#####.#.######.#...........#.......##.##..##.#..##..#.##..##.#.##............#.#..#..##..#.#.#.#..##.######.....#.#.#.#####.######.###.##.#.#####...##..#....##.#####..#.#.####..#.#...##.##...##.###.##..##.##.#.#.#.##.##.###############..#.#.######..#.###..#####.#...#.##............#.###.########.#.#####.#.###..##.######.##.#.#..#.#####...##.#.#..##..#..####.#...........######......##...####.#.####.########.####.##.#....#......#......##.####....###.#.....#.###.......#.###.#..####.####.##.####...#
#........#.##....#.#.#.#.#.#....##..##...........####.....########.###.###.##.#######....#.#.###.##..######...#####.###.###.#..#......####.##.#...####.###.#...####.#.#####.##.#......#..#.#.#.########.#.#######......#.##.#####.####.###.##.###.##.#.###.##.###.#..#.###.######.#.#######.##..##.....#######.##...###...........#.##.######...#.#.....#.#..##...##......#.##.#.#...##.####.###...########.#..##....##........###....#.##.##.##..##...#..###...####.#.#####..#.######.##.#.#.#.#.........##.#####.#.#####..##.##....#.##......##.#.....###.##.#.##....###..#.#...#.#.#####..###.##.#####..#....#######....###..#...#...#.#.####.###.####.##..#......#.####.#.#.#....#..####.##.#####.##.#.....#..####.##.##
########....####.#...#.#.######..###############.#.####.#..#####.#.##...#..#..#.#..#####.#........##.##.##..###.#.#..#..######.######.#..####...#..#.......#.###.#.....##.#.#..##.#.#.##.........###..............###########.....##...#......#.#.##.#..#..##..##.##.#.#.#.##########.#.#.#.#..###.#######..##.##.#...##.############...#.#.#.#.#.##.#########..#..########.##.....#......#####..####....##.#.##..####..##########.##..........##..#.###.##.##.##.##.#.......##..#...########.###.#.#.#.#.....#..###.#.####.....##.#......##.#..####.###########.##.#.##.##...#.#####....###............#.##.#####..#.##.#...##.###...###.#.#.#...##########.######.#####.#####.#.##...##########..##.##.#.######......#####
####.....##........#......#.#...##.##.####...........#####.#.#......###.#####.#.##.#.....####.#.#.##.##.#..##...#.##.##.#..##...........###.##.###.######.##.##..#####......#.##################.#.#####.###########......##..##.####.###.#.#...#.##.##...####.#..##.#.#.#............#...#...###........#.##.....#.#.##.....###.#.###.##.#.#.###.#......#.######.###.....#....#####.#.##..##.##.##.#.#####.#.##.##.###.#..........##.##.########.##............#......###.###..##.####.##..#...#.#####.###.#...###......##.##.###.#.#.#.##..##..##....#.......####.#.....#.#.......#.##...########.#.#....#####.#.##..########.#####...#.......#....##....#.....##.#.#....########..#.....##..###..###........#########.#.#
#..########.#.###########.#.###.##.##......#####.#.#...#.......####.#....###.....#...#.#...##.###.##..#.##..###.#.##.##...##..#########..#..####.#.##.##########.#.....#.##.####...#.##.#.#.#....#..#.####.##.####.##.#.#..##.#..#..###.#######.#.##..###.#.##.#.##........#.#.#####.##.###.###.#.#.######.##.################.................##...#.##........#..#..###...##.....#.#.#####..##.#........#.#.##.##..##.#.######.####..####..##.#....####.#.#.#...##.#..####.##............######.....#...#.#.#.....##.#..#..#...#.###########..####.#...#.######.####.#.##.##.#.####.##.#..#.....#.#.###.####...#....###.###.....###.#...#.###########.#####.####......##..#.##.############.##.##..#..########.##..#.#.#.#
##.#.#.##.#.#######.........##......####.#.#..########.###.########.#.##.#.#####.###.#.###.#####..###.#.##.##...#.#...###.#####.....####...##.#.....#.#..........#############.###........#.####.##.#.#.#.............####.########.#...........#.###.#.....##.#..####.##.##.#.....#..............###.#.........###..##.#.#....##.#####.####.#....##########.##.##...##.##.####.########.#.##.##...#.###.##.......#.##.........####.##.##.#.###...##....#######.#..###.##.##....########.###.#####.####.#.#.#.#.#.#..#.#.#######.#.....###.####..##..##.#####.##.....#.####.##.######.##.##...#######..#####.#.###.####.......#.#...###.#.#...##....##......####.####.#..##..............###.....##.##.##...........##.#.#.#
#...........#.....####.##.#..####.####.######.#.#.##....#..##.........#..............####...##.##.#.#.#..#..###.#.##.##....########....##.###.####.##.##.#.#####..#.#.#.#..#.#.#.#.##.#.#.................##############.#.#.##.#.#.###.##.##.#.........##.###.#.##.##..###..#######.##.##.#.##.#..#....#.##.##...##........#.###.....#....#.####.......############.....#..##...#.##.##.........###...###..#####....##.######..#....####.......#.##.#####..#########........#.###.#.#####......##....#####.#.#.#.#.####......##.#.#####.#.#.#######..#........#.##.##..#.####......######..#.......#.##.#.#............#.#######.#######.###..#.#####.######..#..#############.##.#.#####.#.#####...#.##.#######.#........#
#.##.#.#.##.#####...#######.##.##..##..##.##.......####.##########.##.#######.#.#.#.##....#...........##.#.##.#.#.##.###.###..######.#....##..........######..###...#.#.##.....#.####.##########.#####.##.##......##.##....#........#.##########.#.#.##.#...#....##.#..########.##.############.##...##.###...##.##..#.########.#.###.##.#.#....#.###.#......#.....####.########.........#.###.#####.#..##.###.###.#.........####.#####...##.#.#####.....#.##.##.##.###.#.##.####..........##########..#.########.#...##.###.########.#........##.############....#####......#.##.#####..#####.#.#######.#...##.#.####.######..##......##...##..............##.#.##..........###########.......#...#..........#.####.#.#.#.#
###########.##....###.#.##..##.#..####.#..########...#...##.#......#..#.......###.#..####.##.####.###.............##..#..##..##....######.###########..######..####........###....#.#.#####...#..#...######..####.##.##.##.###.####...##.###.#.############.####.##.#.###.#.#.#.##.###.##.#...####.#..#..####..#....##..........#.######.###.##.#.###.#.#.####.###.####.#.#..##..##.#.#.##########.######....#...#.##.##.#.####.#.....#.##########.##.####............#.###...#.#.##.#####..........##....##.#.#####.#######...#####..#.##.#####....#.##.....##.#....###.##.##..#.......####.#.###...#.#...#.####....#..##..#.##########..####.#######.######.......######.#...#..#.##.####.####.###.#.#.#.##.....##.#.#.#.#
#...#.#.#.#######.#.#.#.#..###.##..##....##.....####.###.##.###.##.#.####.#.#.#...#.##.....#.#....###.#.#.#.##.##.###...####..#.##.####.#.#.#..####...##.#.#..##..#####.#.#####.#...###.#.###.######..##.##.##....##.#####.#.####.###.................##.......#.##.#.#.#.#.#.#.........#.#.####.####.##...##.###.#..#########.##......#####.####...#####....#.#####..#.....#########.#...............#.#.##...#.#.##..#####.#....#.###..##.#..##..##...##.####.#############......###.#.##################.....##.####....#.#...#.##.#.####...####......##.##########.#..###..##.###.###..#.######.##...#####.########..##.#.##.#..#.###....#.......#......##.######....#.#####.##.##.#.##.##....########.##.#.###..#.#.#.#
#.#........#.#.#......#.##.#.#.##.######.####.#..........#..###############.#####.#.#####.##.##.###...#.#.#######.#.###.##.##.###..#.#......#.##..###.#..#.##..#.#####..###..######.##..#.#.#.###..##.##.########....#.#.#...##.......###.#.##.##.###....###.#..................#####.#.............############..##........####..#.##..#..#...###.###..######.#.##..##.#####.#########.#.######.#.####...###.########....#....#######..###...###.#####.##....#...##.#.#....##.#.#..#.............##..#.#.#.###.....##..#.##.##.##..#.#...###.###.#.#.########.######..#.#####..#..#####..##..##.#.....#.##.##....#.#.####.....#.##....##.#.##.##.#.###.#.#...........####..###...#.##.#.......##.#.#.#.#####.#...#.##.###.#
#####.####.....##.#.#...........#.##.##..#.#############.##.#.##.##.#.#..#####.##.###.#...#######...#.#.#####.#.....###.#..##..###...####.#....##.#.#.#.##..##....#..##.####.#.#.#...##.#.#.#.#.##.#...#..####.#####.....###.#####.######.#.#..#...#######...##.#.##.####.#.#.#.....######.#.#.##.#......#..##.##.#..#.##.###.##.##.###...####...###.#.####.........###...###.#..##.#####......#.#.#.#..#..####.#.#.##.##...#.##.#.#.#.##...#.....#.##.....########......#.##..#.##...####.#.##.#..##.........##.##....#######..#..##...###.#.##....#.#....#.#..#.....##.##..#.#####.#.##.###.##...##.##.......####....#.##.##...##.#######.##..###...#####.#.###############.#.###.##...#.#.#..#...........#.#.###..#.##..#
##.####....###....####.##.#.#.#...##.###...#.#...##.#.........##......##.#.##.....##....#.#.#.....###.#.##......#.#...#.#.##..##.###...#######.#.........#.######.##.####..........#......#.#.#.##.###...##.#..#.#.#####...#.#.#.###......####.#.###.#.#####.##.###...#########.#.#..#.############.#.####.##...#.#.##.##......#.####.#.#....#####.....##.##.########.#####.#.#.##.....###.#.#####.....###...#......#####.###...........#.#######....#####......##..#.##########.##.#....###########..###.######..#.#.####.#######..#.###........##.#...##.....##.#########.##.........##.#....###..###..#.#####.##.####.##..#.#......#...#######...####.####............##.#...##..#..###.#.##.#.#.#.#.###.#.#.####.#..##.#
#.......#.##...#.########.#.#.#.#......##.##.###....#########.##.###.###...###.#.####.#.#.#...#####...######.#.######......##.#......#..##.......##.#.##.#..##.#........########.####.#.#.......#......#......##.#.##.####.......##..#.##.###..#.#........#########.#....#....######.#.....##.##..######.#.##.#####..###..#.#.##......#.#.##########.###.......###......#..........#####.#####...###.#######...#.##...##..#####.###.###........##.##.....##.#####..##...#.#.#########.#.###.##.#.#.##...#......########.#....#.####.....#.####.#######.####.####......#.#.#.###.#########.#.######.##########...............##.#.#.##...###...###.#.........##.#.##########...#..##...##.########.###.#..######....#.#.##..#
#########.#..######.#.#...#.#.#.#####.##.........##..............##..#.##.##...#.##.#######.######..#..##..#####....####.####.#####.###....#####.####.#..#.##..######.###...#....#..###########.###.#.###.#.#..............#.#.#....####..#...#######.#.#......##...#.##...#.###.##....#.#.....#.###.#...........#####...##########.#.###....#...##......#.#.#.....######.#####.##...###.....##.###...#.#.###.######.####....##..##..##.#.######...##.#.##..#.#.#.#######........#.######........#.##.#.######....##.##.#.####..#.##.##......#####.#.#....#..##..######......#####.###..#.....##......#.#.#...##################.#.####...###...####.##.#############.#.#.#.####.#..#.....#.#..##...######.#.#########..##.#
#.....#########.#.......#.###.#######.###############.#.####.#.#.###.#.......#.#.#..#.......#....##.#.####.########......##.#..##.###.##.#.#...###.#..##....##..##.....####...#####.##.#........#####.#...####.##.##.#.#.#.#.####.###.##.######.#.....#.##.###....#.####.######...##.###########.......#.###.#####.#.###.......####.#..###.#.#.###..##.#.###.#.###.....##.....#..###...#.#####....#.#......##.....########.#..#.####..######..##.###..#####.........#####.###.####..##.##.####.###.#..#...##########..#.#....#.##....#######.........##########.###.###.####.#.##..#.##.#.##.#####.####.#.###....#####.......#####.#.####.#...#...##..####.##.####..#.#.#.#.##.###.####.#.....#####..##...........#.#####..#
####.##.##.##.#.##.#.#.##.#####.......................#.#....#.#.#.....###.#.######.######.##.##....####.....#.##.##.#.#......##..##.....#####.......#####.####.#..#.#..#######..........#.#.##.......#.#.##.###...###.#.###.##....##....##.....####.##.#..#...##.#....#....##..#..#..........###.##.######..#.##......##.####....######...#.......###.#######.#####.#..#.############.....#.#.######.#.#.###.#.###.#.##...#.##....##........##....##....###.##.#.#.......#####.##.##........#.......##.###....#.#...##...####..#.##..####.######.##.#####.###........#.##.###....##.##....#######........#.#.####.....#.#.#...##......######.#######..#.#.....#.#.##.#.#.#.##..#...#######.###.#########.#########...######
#.#..##..........###.#.##.#.....#.##.##.#.#.#.#.#####.#.####.#.####.#.######..##..#.###....########.#....#.#...#...###.#.#.##..##.###.#####.######.#.#......##....#####.#.#.########.#.#.#.#.##.##.#.##.#.#......#.###########..#.####.#..#####..###..########.##.##.######....##.##.#.#.#.##......#......##....#.###.##.....#######...##.###.#######.......##.....####......#.#.#..##.##.##.......##.###...###........###.#..#.####..#.#.#.#####.##..#.##...####.#.##.##.............#.#.####.#.#.#.######.####.#.###..#...##.######..........#######.........#.#.####.....#..#####.##.####..##...####.#........#.##############.#.#.##.#.#...##...####.#.#####.#.##.#.#.#....##.###....####.........##..........#.###....#
#.##.######.#.##..#..#.##################.#.#.###.....###############.#..##..####.#.#.##.#.#.#.#....###.######.##.############.....##.#.........#########.#..####.#.#.......#.#......#####.###..#..#.##.###.##.###...##.##.##..##.#.##.####..###.....##.........#.##.....##.##########.###.##.##.###.#.#####.##.....######.#.........###..#.........#.#.#.######.####.###.####.#.#.######....#.########...#...#.####.#...###.#####.######.#.....#..##.#.##.#....#.####..##.#####.#.##.###....#.#.###..##..#.##.#.#.#.#.######...##..#.####.#####.#.##..#######.#.#......###.#.####.#.##..#.##.###.#####.##.#.#.#.#...##...#.#.#.#######....##.##..######....#..#............##..#...#.##......#####.###..####.#####...#.##.#
#..#.#......#####.######.#.......#........###.#...#.#.#....##.##.#.#####.###.##.#........###...##.#.#####.........##.##.#.##...##.###########.#..##.#.#...##...####.###.###.#.##########.....#####.#.########..#...###........###.#....#..#.##.#########.#.#.#.####..#.#.##...#......#...#.##.##.#.#######.###..#.#####....#.#####.#...##.#.#.##.###########..#####...###......#.#...##.##.#.#......###.#.#.#.#....#.#.####.............#.###.#.#.###.###..#.#.##....#####.....###..#.##..######.####..#.##.##.....#...#.#.#..#..##.....#####.#.....##.......#.#.#.##.###.###.##......##..............######.###...###..###.#....#.#..##.###..#..###...#.####.##.####.####.####...###.#######.....####..###.####.#..#....###
##.....##.#.#......##.##.#.#####...##.###.##..#.#.#.#.####...........#.#..####..##############....###.....#.#####.#..##....#####..#...##########........#.#..#..........##....##.#.###.#.#.###...###.#.....###.#.#.#...#.#.##.#...#.#####.......#.###....#.#.#....##.###.####...#######.##.##.##....#..#.....##.#.....######...#####.#..#.#.#..#####.#.#.#.##.......#...####.#.#...#....####.#.#.####.###########.##.#..##..#.#.##.##.###...#.#.#...#####.##.####.##...##..#.#####.######..#..##....##.........###...#.....##.######.##..##.#...######.###.#.########......##..###.#.####.###.#.#.#.###...####...#..##.####.#.####.#.##....##.#.##.#.###............#..######.###..##.#.####..#.#..#.#.##....#.#.#.###.#..##
###.##############.........######.##..##...############....#.##.##.#.....##.###.#.##...........#.######.#.#.#...#.##.#####.##..##...###.....##.##########.##.#.#.##.#.#.#####............#...###.##..#.#.#.....#####.########.###.###.....##.##.......#.#######.###....#..##..#......########.###.###.##.########.#.###....#.#.....###########..##.......#.##.#.#.#.#.##########.########..#####....#..#.#.#.#.#######.####.#.####.#....##.######.####..###...#.#.##.#..##.#.....#.#.##.##...####.#.##.#.#.###..##.###.#.#.#...#.##...##..#.#.###.#.#...#######.....########..##.#.###.#...######.#...##.##..#.#.#.##.....#.#..#.#....##.###.............##.##.#.##.##....#.#.####.........#.#######......##........#####..#
#.#####.#####......#########....#####..###.###.#.#..##########..#..#.#.#....#.#.#.#########.#.##.#......#######...#...##.#....####.##.#####.#..###.........###.####.#.###.###.#.####.###.##.##......##.#.#.#.#.##.##.##.......#####...#.#..#####.#.#.####.#.#.#...##.###.####.#.######......#.#.#.........##....#.#..#..#.##.#.######.##.#.#.##....#.#.###....#####.#..#....#.#.........#.###########.##.............########....####.######..#######..######.#.######.###.#.#.###.......###...##.#..#.#.#...#.###..#########.##.#..#..####...........###.#.#...###..#####.##..#.#..#....#...#.##.#.#.......##.#.#.#..#.#...##.#.#.#####.##..#####.##.#.###..##########.###......#############.#.#.#.################.#.##.#
#..##.#.#.#.###########.#######.....########.#.#.#.##.##....########.######........#.#.##.#########.###..#.#....#...#..#.####.#.##.#...##.....##.###.#.#.#.#...#....###.......#.#....##..##..###.#.##..###.#.###......##.######.###.#.####.##..#.########.......###....#.##...#####....#.#.####...###.#.#....#.##.##...##..#.#.....#..........#.#.##.#.....##.....#.##...##.....##.##.###.##.#..##.......##.#.#.##########.##.#####.#.#.#.##.##.###.##.#..##.........#...#.#.#######.#.#..###.###.##.#.#.##.##...####.#.#.##..##.#.###..###.############......###.####...#.##.##...##.######....###.#.###.########...##.#.###.......##.#.##.###.#########.#####.##.##.###...#.##..........#.#......#.##...#.##.#.##.#....###
##.#......#...##.##........#.#..#####..#.##....#.#.##..####...#......#......#.#.##........###..#######..##.######.#.##...##.#.#.#..###.######.#...##.#.#.#.#.#.#.##.####.##.#.#.##.#..##.#..##...#..#####..########.#######.......###.#..#..##...##...#.######.######.##..#.#.....##.#######.####...###.###########..###..#####.##...###.##.#.#####..#.#.#..#.#.###..##.####.##..########....#.##..#.#.#..#######.##.#.##..##.###.#.#........##.#.#.#....###.#.#.######.##.#...#.###.#.##...#...#.##.########..#.............##....#.##.........###.#....######.#..#####....#..###.......############...#......##..#.##.#.....#######...................#.####...#.#...##.######.##.##.##.....#.##......#....#.#....#.######
#....#.##.###.##..########.....####.##.#.#..##.#......##....#...##.#.#.#.##.#######.#####.#.##.#.#.#.####...###...#.#..#..#.......##.#..##.#....#....###.############....#..#.#.#..####..##..##.##.####.##.###.####.###.....#.#.#..#####...#####.##.#....###......##..##.####.#.#.........##.#.#######........#.####.####.....######...#.#..#.....#.##.###.##.####..##....##..##..........#.##....#######.................##........##.##.#.###...#.#.#.##.#####.....#######.#...#.#.########.###.##..#.#...##.#.##.#.#.#.##....####.##.#########.#...##...#.##.#.##.#.#.####.###..###.#.....###...##.############.#.##.#.#.#.......#.####.##.#.#.#######.#....#.....#.##.#####...#..######.#######.#.####.#.....####.#.##.#
#.#.##.#...#...#.##.##.#.#####.##.#.#......##..######..#######.###############...##.#..........#.#.#.#.#..#.....#########...#.#.#....#.##....#.##.##.##..##.#.#.##.###.####.#.#.##########..########....####........#...##.####.##.......#.#......######.#.###.######.#....##.#.#.##.######....#.....##.####.##.#..#...##.###.###.########.####.###.#....#.##....######.#####..#.####.#######..##......####.#####.######.###.#.##.#.#########...###...####.##.##.#.###.#.#####.#...#.......##...#..#.##...######.####.#.#.###.#......##........#....#..#.###......##.#.#.#.#......#######.##.....###.........#.#.###..#######.#.#.#......#.##.#.#####..##...#.##.#.#.####.#.#.###.#.##..#####.##.#######.###.#.#...........#
#.#.#..###...#....#.#........#......##########..###...##.###.###........#.###..#....#.#.#.#.##.#.....#.######.#.#.........#.######.#......#.##.#..#...##.#.............#....###.#..........##.#...##.##......#####.##.#.#..#....###.##.#.#.##.##.##...............##..#.##..#.#.#.##.##.#.#.####.######..#.####...####..###.###.....###.##.#..#..####.#.##.#####......####..####...#######.##.##########..#....####.##.####..#..#.#........###.##...###..#.....#.###.#.#.#.###.########.#.##..#.##.#....####..##....#.###...###.#.#.##..#.#.####.##########..#######.#.#.#...#.##.....#.#####.####.####.#.##.......##...##.##.#.#.#.##.#####..#.###.#.###.##############........#######....#...#.#.#.#.....#######.#.#######
#.####.#...####.#...#.##.###...####.#.##.##.###...###..#.#...##..######.....#########.#######....###.#.#.#.####.#####.#.#.####.#...#.#.#.##..#######.##..###########.#.###.##...##.#######.#..#.#..###..#.#####.....#.#.#.####.##.########.##.#..###.#####.#.#.####..##..#.##.#.####..................##......##.##.######...##.###......#...###..###.#.##..#####.###....##....#####.##..#.#...#.#.##.#..##.####.#........#.##.##.#.########...####...##.#.#.#######.........######.#.#.#.#####..#.#.#.###.#.####.########.############.###..........#.###..##.#.#.........###.##.#####.##..####...#..#.#.#############.....###.#.###......#.##................##.#.#....#########.#.##.####.#.#.#.#.#.######.#.####.......#
#...##########..###...#..###.#.#.........##.#.###.#.##.#.###.##.###.....###.#.#.#.#####.......##.#.......#.#.#..##....#.#.#......#.#####.#..##........##.##...##########...#########.#.###.#.##.##..#########.##.##.#.###########.#.....##.##.##.#.#####...#.#######..##.#.####....#.#.##.#.###.#.###.##.######...#......#.####...######.#.#..##.##.###.#..##..##...#.##....##.....#.##.##...#..........###....#...#####.#####.##.#.###.###..#..##..###....####.#..##.##########......###..###..##.#.#.#......##...#.##..........#.#..####..##.#.#.#.....##.#......###.###..##..#..........###.#.###.####.#.##.##...###.###...#.#...##.########.#.##.####.#.####..#.##.###.....#.#.#.#...###.###.#.#.......#......##.#.#####
#####.##..#....#####.##.##...#####.###.#.#....#...............###...#.####....#.....#########.##########.......##..#.#############.##....##..######.######..#.......#....###.###.#............#####..##..........##.#.##.#.#.##.....#.#..#########.......#.#......##.##..#....#.#.##.#..#.#...#.#...####....####.##.##.#.....#..#......######..#......####....#####.#..##.##########.......####.##.##.#.##..##...#.....#.....###..#...#.....###..##.....##..#.....###......#.....##.#...##...#######.#...####.###.##..##.#.###.#.....###.##..#.###########....##.#...#...##..######.#########.........#####.#.....#...#########.#.#.##........#.#.##....#####.###...##..##.#####.......#......##.....#.###...##.######.....#
#......##.###.##......###..#..##...#...######.###.#.####.#.#.###..#.###....##.##.##.#.....#####..###.....#.#.#.##.##.#.............#####..######.#.....##..###.##.#...#.##.......#.#.#####.#.###..##.####.##.#.#.#..#.#....#....#.#.#.##..##.......###.#.#.##.#.#..#..#.###.###.###..#.##.##.##.##.###.######.##.....#######...##.####.....######.#######..#.##.#####.###...#.##.#...####.###.#..#..#.#..##..#.##########.##...####.#...###..######.#######...#####...##.#...##.##..##########.#.#####.#...####.#....#####..##.#.##.###...##.#.............#.###.##.##.#..##......#....##.#.##.####.#...##..#.#####.#..#......#.#.#.#..#####.##.##########.#...###.###.###.....#.##.#.##.#.##....#################...#######
#.#.##.........##.##.###..######.#.###..#.##...#######.#####.#.#######..#.###.##.#..#####.......##.###.#.#.#.#.#..#..#.##.#.####.#.#.....#####.....##.######....####.##.########.###.#.....#...##......###################...#.####.#####..#####.#.#...#.###..#.#.###.#.#....##..###.#.##..#.####................#.#.......##.##.....#######.##.#####.#.####..#....####...#........#..##......#.##.####.###.#####.##.##.##########..#.#..#####.##...####.######...###.########...##................##..###...#..##.#....##.##..#..#.....#..###.#.#.#.##.#.##...#..#..#.##..######.#######.#.##....###.#..##.#....#######.#.#############.##########...#..#...###...........#.#....#.#.##.###..##..###.##.....#.#...#########
#########.#.##.##..###.#######...#.####......#..##.#....#.#..#.###.#.######...#####.......#.###........#.#.#.#.##.####.########..#.#.#.#.##....##.##....##...##...##..###.#......########.##.###..##.#........#.#.##.#.##..###..######.###..##.###.###.#...##.#.###.#######.####..##########....##.###.#.##.#.#.########.#..#..###.#..#.#.#......#.........##...##....###.#.#.###########.#.######....#...#...##..##.#...##.####.##.######.##..####.........#.##.##.....#.#.###.#####.#.#.############...#.#...##..#.#.###.###.#.###.#.###..##.###.#..#######.###.#.######...#.##..##.##..#.##.#########......####.#..##.#...#.#.#.#..#.....#.###.###.#.##.###.###.#########.##.#.#.#..######..##........#.#.....###.......#
#....##.#.#.##.#..##....##.#...#.###..#####.###......##.#.##.#.#.#.#.###.#..#..###..#####.###.####.##.##.#.#.###########.#......##.###.###..#.##..##.##..###.##.#.#######.######.#.###....#..###.##..#.######.............#####.#..#...#.##........#...#.###..#..##....##.....##.##.#......#.#.###..####.##.#.#.......########...#.##.#.....#.##...##.###.##..#####.#####.#.#.......##.####....#.######.########.###...#.......#.#####.....#..##..#.#########.......#.#......##..#.######.....####.##..#####.#..##.###.#.#..####..##.#...#.##....#.##.##.#.##..####...##...#....####.....##.##.#.#.....####.###......###.#.###.....##.#.###.....#.#.#....#......#......###################.###..##.###########.#.....###.#.#
##.#.##...#.#..########......#.#.####.#...####..####.#.........#.#.#.#.....###.#.####.....#....##..##..#########.....##....##.#.#..##..#...######.##..####...#..#.#.#................######.##....######......##.######.###...####.###......#.#.#.####.######.##....#.####.##.##......##.###.#...##....#.##.#.###.###......############.##########..#.#######.....#.....#.#.#.#.###.......##.#....########.####..#...####.#.##.#.#.#...#.###.####........##...#.#.#######.######....#####.#.#.......##.....####.##..####.##...########.#.#####.#.####......###...###.####.#####.##.#.#####.........######.###.#.######...#####.#####......#######.#.#.####.#.##.#.####........##.#.#.#.#.....##..#..........####.#.#.##..###
####.###.####.####.##...#.##.#####......#....####....###.#####.#.#.#.####.##.....#.#..#.#.#.##....####.#######.#####.#..##..###.##..#########.....###.##.###.#.##.#...#.#.#####.#.##.........########.######.#####.......##.#..#.#.######.#.#######.##..##....##.##.#....#.##.##.#.#.###.#########..#.##..#.####...##.#.##..#.###.#.##...........##.#.#.###.##.#.##.#.#.#.#.###.##..#.#.###..#.##.............##...####.#####......##.#####..#.#..#.##.#....#.#.#......##......##.###.#.###########..#########..##.##.##.#..#......#####.##.####....#.#.##..##.#..####........###........##.#.####.....#...#...........#####....#.###.##.########......#.#.###......##.###.#.##..........##.##..##.#.##.#####.####.####.####
#.#......#.#####......#.#.##...######.#.####......##.#...#.......#...##....##.##.....##.#.#..##.#....###.#.#.#..###..##.#####...#######.###.#####...###......#.####.###.#.##....###..#.#.##.#####.#......#####.####.#.#.###.##........#######..........#####.##...#.#.#.##.##.####.#.##.....#.#######.#####....##.#####..##.#..........####.#.#######........#.#.##.#.#.###########.#####.##########.##.#.###....#..........#.#.####...##.##.#.#.#######.######.###.##.##.#.####....#.....##.#....######.....##..#..#....#.##.######.#####...##########..#####.##....####.#.#####.##.#.#....#...########.###.#########.....##.###..#..#####.......##.#......####.#####...######.####.##########..#.#..#..........#....#.#..#
#...##.#...#.#.#.####.#.########...######....##.#.#..###.##.#.##.###.#..##..#..###.#..#.#########.#.##.........##.##.....##...###.##..............########.#####....#...###..#.#####.#.######.......##.#............#.###.######.#.##.........##.#.##.###....###.##.###..####....#######.#.##....#..#.....##.#.##....###..###.########...##.#......##.#.#.#.####.##.###....#.....##....#......#..#####..#...##.#.#.##.############.##.##..............##....#############.#..######...#.#......#####...#.#####..##.##.#########.#..#.#.###.#.#.####.########.#####.#...##.#####....#####.##.#.#......................#.#####......##.##.#.#.#####.#..#.##.###..#.....#.####.#.#.##########.##.####.#.##.#.###.#.##.#######.#
###..#.##.##.....#....###........#..##.#..####..####.##########........####.####...#.#####.#.#....#.#######.##.....###.#..###.#....######.##.#.#.##...#......######.#.###...####.....###......##.##..####.#.##.##.#.####..###.#..#.###.######.#..#.##...##.#.#.#.######.##....#####.#.####....##...###.#######..##.#...##.###.#.#..###.#..######.#.####.#.###.##########.#...##.##..#.##.####...##..#####.#..###.#.##.#.#.#.##.##........#.###.###.##..#.##........#.##.####...#..#########.####...###.#.###########....#.#.###.#.##.......#....................####.#.##.......##...###..#.####.###.##.##.#.#.#.########..#.######..##.#.#....#########....#.###.#.##..............#......##....########...#####...##.#.#.#
#...###########.#####.###.#.###.###....####....###.###.###......##.###....########.#.##........##.#..##......####.####.##.#...####.##.....##.###.#..#...#.#.##...#######..#....####.#######.#.#...#####.#.#.#..##.#.#....##.#...##...###....#.##.###..#.#..#...#...##...#####..........##..##.####...###.#...#.##..#.###..........##.#######.#####...##.#.......#...#.#..######.#..##.......######.##.######...#.#..###.#....#..##.###.#.#.###...#.##.####..#.#.####......##.#...#####.#.##....#.#####.......###.##..####...#.#.#.##.###########.##########.###.#.####..##.##.######...##.#....#..#####..#.###.#.....##.##.#....####........##.#.#.#####.##.....######.#.##.#####.#...######..#####...##..####.######......#
##.#####.....####.###.#.#####...#.####.###..####....##.#.###########...####....###.#####.###.#.##.#.##########.........##.##.##.......#.#..###...####.#.###.####..##.#...###.###....#.......####.##.......#.##.##.#.##.#......#..##.##...##...#....##.####.#.#.########....##.#.#.#.#.####..#....###.......#.####.##...#.##.###.###...#.#.#......##.##..#.#.#.###.###.##......####.##.##.##..##............##.##.##..#....####.##..###.###...##.####.....##.######...#.#.#####.#.#........##.#.#.##....#######.#..##.#.#..#..................###..........###........####...#..##.###.##..#.#.#####.#.##.#..##.##.####.......####.##.###.#.#####.#.#.#.#####.##..#.#.###..#.....#####......##.#.##..#####.......#.##..##.###
#...##.#####.#.##.#.###.###...#.#......#.#######.##......#...........#....####.#......####...#..###.#......#.###.##.#.##..#########.###.####...#.#....#.##..#.###.##.#####.....#.#####.#.##.##....##.####.###...########.###.##.#####..#.#..#.###.##..##...#.#.....##...#.##..#.###.#.#.##.##.##...###.##.#####....##.##..#...#.....#.......#.#####.###.#.#.#.........#######....#.##..#####....#.#.#.#.#.######.###...#####....##...#.###.#..#...######.#...#.#...#####.#..##.#...##.#.######.#..####......##.##......#.####.#.####.##.#.#.##.###.#.#.##...#.#.#######.######......#######.#....##.#.#######...#..#.#.#####..#.#....#####..#.#......#...##...##......##.##.##.###.###.#####..#....###.####.#####.##.#######
#####..##....#.##....##...###.########.....##..######.##.######.##.#.#.####.##.#.#.####.####.##.########.#.......##.#..####....##.....#####..#.######.#.#####..#.....##.#..#.#######.#.#.##.#..#.#####....##..#.#........#....####.###.####.#.#...#..#####.#.#.#.####.#.#######.##..#....#.##.###.####..#..##.#######..#.##.#.#.##.##.#######.....#..##.######.#.####.......#.########...##..#.#############.#.###.#.#.......##....###...#.#.##.#..#...#.#.#.....#..#..#...#####.#..#.##########.##.##.#######..#.######.#.####.##############...##############..###........##.####..#.###..##.#..#.........##.###.........####.#.####.####...#.#.####.###..#..#.##.######...####....###.#.##...##.....#.##...#.#..........#
#.#.##.#####.#.#####.###.##.###..#.....##.####.##.#.###.........#..######........#.#.#........#.#.##.#...##.#.#.##..##.#....##....#######.#.##.#......###.####...###.#....##..##.......#..####.#..#.####.##..####.#.##.########........##...#.###.#.##.#...#.#.#.##...#....#.#...##.#.#.##.##...#....########.......##.###..#####...#.......#.##.###.##.....####...####.##.#####..##.#.###..##...#.#.#.#...#.#..##...#####.#..##.#...##.####.#####...#########.#.##...###.###.#..#.#####..##.##..#.....##.#..##.#....##....#..###......#.#.##..#.......#.#....##.....##.#.####...##.##...##..#.##...##.###.###...##.#.##.#..##...........####...#........#.##.##..#.##..##.#.##...######......#..#.#####..#####...##.#######
#.......##.........#.....#...###...###.#...###......##..#.#.###.####......#.#.##.#.#.#######.####......#.##.#.#..##.##.###.##..#######.......####.#####.....#######....#.##..###.#.#.#.#####.####.#..######.##.#..######..###.#######.##..#.#.#...#....###.#.#.#.##.#.###.##.###..########..##.###.#...#.###..##.####...###..#..###.#.##.#.###########..#.#....#.#.#..#..#..##.##....#..###..#.#.........###...#####.....####..########....#..###..#...##....#.#..#.###.###.#.######...#.##...##...###..#.#.###...##....####.####.####......#.####.#.#.....#.####.##..###....#.#.#.....#####.#.##.####...#...#####..#..#.##....####.#.##...######.#.#.#.#########.#....##..#....#........#.##.#.#####.##.####.#.####.......#
##.##.#....#######.#####.##.##.#####...#.#..#..##.#....##.#.#...########.##.#.##.#.#..........##..##.#.###..#.#.###..###....##.#.......#.###########.######.#.#.##..##.#.#####.#####.####.#...######........#....####.###.......########.##.#.##.###.###...#.#.#.####.##...#.####........#.##....#.##.##.#.##.#########...##...#############.##.###.########.#####...###.##.......#.##.##.#.####.#.##.##.....#.##.#..#.####.##.....##.#.#.###...####.###..######.##.......#.#.#.#.####.#.##.####.#####.##....#..#..#.##.............##.#.##.....########.###..##...##.##..#.######.#.###.##..#.#..##.#.###.##########.##..##.#....#.#.####.....##.#.#######.##.######.######.#####.####.##..#.###.#..............#.#########
############.............#.....#.##..#.####...######.#.#..###.#.#....###.##.#..#######.#.##.#..##.#..#.#...##.#.#...#############.#.##.###.....#.#.#..##....#......##..#...###.##.#..#......#..#.#...##.##.#####.#........#.#.#..........######..#.######.########.....###.....##.###.##.####.####.##.......#.........#.###..#.....####..........#.......#.#.#.#######.####.##.#.##.##....#....#.#.##.##.#.#.#....##.#.......#######..######..###..#...##.#...##.##########...#.#..##.....#.......#..#.#..##...##.######.#.##.###.#..#.#..#.#.#.......##...#.####.##...##.#....###.#......##.#.##....#..##.###....##########.#.#.##.#....##.#.##..#.....##..........#.....##.....#...##..##.#.......#.#.#.#.##.#....##...###
#.#..#.......#####.#.#.#...#.#......#########.##.....###.########.##......#.#.###.#.#..###..#.######.#.##.#########.##.#.###.##.#####..#...#.#...#...######.######..#####.##...##.#.###.######.#.###.#..####...#.##.#.###.#.####.##.##.#..##.#..##.###.##.......##.##.##...#.#.##.#####..###...######.#.###...######.##########.##..#.#.#####.##...#######.###.......#..#.###..#.####..#.####.#######.#..#.#.#.##..#.#.###.#.#####.##.##...##.....######....###...##..######.##...##..#.###.#######.####.###.#########.###.##..#####.#.#.##.###.##############.....##.###.##.#...#.###.#.#########.###.##......##......##....#.#..#.###.#####..##.#.###....#.#########.#.##..#.###.##########.#.#.#####.########.##....#...#
#.##.####.#.####.########.######.##..###.##....###.#.##..##.......#..#.#.####.#.....##...##.####.#.#.###..##......####.#.#.#.....#.#######.#####.###.#.##....#.######.#.######....#######.###.....#####..#####...##.###...####.#..#.#..##.#....##.........#####.##..#.#..#.#.#.##.....##...#.#....##..#...###.....##.#.#....##...##......#.#######....##.#.##..#.###...##..##.##....#.##.#.##.#.#.#.###.######..####.#...###.............###..#####.#..#.##..###.##..##...##..#.###..####.......###..##....#.......#.#...#####.....########.#######.#.#####.########....###..#.###...#.#.#.##.#.##...#..#####.############.###.#.##...#....##.#####...##.###.........#.#.##.##...#..##.#.#.######.....#.##.#...#.#########.#
#..#.#..#####....##########.#.######.#......#.###..#.###.###.##.#.##.#.###.##.#.#.#....#######.#.#...#...########.###....#.#.#.#.#.........##....##.......##......#.#.#..#.######.##.#........#.#.#.#.####.#...#.##.#####..##....#####.#..#.#.#####.#.#.#....######.#.##.###.#.##.#.#####.##.#.######.##.#############.#.#######..####.#.#.#.#.##..#.##.....#.##.########.###########.##....#.....#..####..####...##.##.####.#.##.#.#.#.#####....##.#.##.###...#....#####..#.##.....##.###.######.##....##.##.##.#.#.#.####.###.#.###...#.###..........#.....#.#.#.##.#..##.##...##.##.#.........##.###....##....####.#.##...#.#.#..#.##.#######..#.#.##...#.#############...##.#####...........###.#.#......#.#.......#####
##.....##..###.#...#.#.#.##.#..##.######.##.####..####....##.#..#.##.#.##.....########..#.###....##.######.#.####.#.####.#.#####...#.##.#.######....###.#.#######.....##.....###...#.#######.####.#....###...#.#..###.....##..#.###..####.#.###.##..###.##.#....##..#.##.###.###..#..#.####..#.....##.##....##.##..##........####....#.#.......#######..#.#....#.#.#####..#.###.#...###..#.##.##.##.##.##.##.##.#.##.##.##.###..#.#.###.#..##.##..#.#.#....##.##.#.##.....##..##.#####.........##.##.###############.........####...#.###..##.##.#.#.#...#.#.......##.#.###.##.#..#..#.###.##.#.##....#.#.#####.##.......#.#####.##.###..##.##.#.######..#.#.............#####.....#..##.#.#.##.#####.#.##.###.##.#.##.....#
######..##.#...#.#..........##.##.#.#.....###....##.#..##.##.##.######.##.#.####.#.######.#.###.#####.##....................#.#..#.###..####.....##.#...###.#.#######.#####.##.###.#.#.#.#...#.#....##.....#.#.#.###..#.#..####...##.######..##.#..##...##.###.###.##.#....#...##.####.#.##############..####...#.####.####.##.####.##.#.#.#####.#####.####.######.....#.##.#.#...#...####..#..#..............###..#.#.....##..#######....#######.......##.##########.###.##.##....##..#.##.##.............#.#.##.#..#.####.##....#.......###.############.####.##..#.#.##...####.#.##...#..#######.#.#########....##########.##.##...##...........#..##.#.#.#.#.#.#.#####...###.#...#####.####....##.###....#.########.##.#
#......##..#####.##.##.#.##...........#####...#####.#.##...####.##......#######......##.#.......#.##...######.#.#.#.#.#.###.....##.####..##..#.#.#..##.##.......##.....#.......###.#.#.#.#.###.###.#######.###.#.##..##.#.####..####.#.#.#..###...#####.##..##.#.###..##.#.##.##..###.....###.#.....####......#...##......####....######.#....##.#.#.....##...#.#..#.#..........#####.##...##.######.##.##.##...#######.#.####..##.#.###.##..##.#.##.##.##.#.#.##.#.###.#.......####..####...#.#.#.#.#######........##....#####.#.#.#######.....#.#.#.#..##########.#####..####.#.#..#.#.##.....##..#.##.#.##...##....###.#....#.#..#..#.###.##.####.#####.#.###.#.#.......####..#.#.....####.#.#.###...##.#.#...#....#..###
######....##.##..##.#..#.###.#.##.##.#####..######.....##.###...##.#.#.##.....####.#....#######.#.####.#......#.#.#####.#...#.#.##.#....####.######.###########.######.#####.#.#.#.......###.......##........#######.####.#....###.........##...#.##.....##.#......##.#..####..##.....###.......#.#.#....#.#.###.##..####..#.#.##..#.##..####........#.########...######.#.#.##....######.###....###..#..####.#.....##..#....#.##.....####..##..###...#..#...........#....#####....##....#.#.#.#.#.#.....#...##.##.###.#.####...#.#......#..#.#.........###.......####.######.#.#.#.####..#.#.###..##.......##.##..#.##.....######.###.########........###.#..############....##.#.#.##.###.#.######..#..#.###.#...#.##.####
##.####.#..#....##########.#####..#..#...##.#......#.#.##.#.##.##############...#######.....#............##.#.#.####.##.#.#.#.#.####.#.##.#####.#.#.#...#.................####.....###.#..#..#.#.#..##.#.##.##........###.##.#...#.####.##..#.###.###.#.##..#.#.##..####....##.##.#.#..#####.#.#######.#.#.#.#.#####....####.#.###....##...###.#.##.##........#.###.#.##.###########.#..#...#.##...#####....#.###########.####.###.####.##.##..##...#.#.####.##.#.####.##.....##.#....#.######.#####.#.###.###...#...#.####.##.####.##.#...##.#.##.#.#.##.#.########.#..###...#.###...##.##.#####.##..#.#####..##.##....#.#####.##..##...#.##.#.#.#.####.####....##.##...##.#.##.###..#...#....#...#.##.#########.####.....#
#.......##...##.#...###.##.#############.#..#.##.#.###.#..#..#.##.##..#.#..#..#...#.....#.#...#.#.#.#.#.##..#.#.##......#.#######.#######..##.....#####.####.#.###.##.##.##.#..##.##...##...####.#.##..#..######.#.#.##...##.##.####....#..######...#.#..#.##.####.###.#.##.#..#..#.##...##..#....##...#.#.#...##.##.#####......##.####..#...##################.###.#.##.............#.###.##..###...#.#.####.........##.....#................###.###.###.#########.....####.##..#.#.####.#.#.....##.#.......##.###.##..#.#..###.....#.##.###.#..#.###.................##.#.#.....#.#.#..##.....#..##.#.....##.##.##.####...#....#.###.#......#######.......#.##.......####.#.##..##.##.###.##...#.#.#....##.##.###..##.####
#.#.#.#.#######.##.##...#....#.###.##.#....####..#..##.#####...#...##.#.##.######.##.##.####.##.#.#.#.#####.#####..#.#.#####.......##.##..#####.#............#.##..##.#.......###.##.#####.###...####.##.##......###..#.#..#.#..#..####.####.#....#.#.##.###.....####....##.##.#.####..#..####.######.####.#.#.............#.##..#....##.##.###.#.##.########.........##.#.##.###.####.#.###..##...###.######.#.#.###..#.#.#.##.#.#.####.##.#...#..##......##.##.###.##....#..#.##.###.##...##.#.##..#.#.#.######.#####.#...##...###.###....###.##...#######.#.#.#.#.#......#.#.###.####..##.#.###.#..#.######.##.##..#######.#######..####.#..#.######.#######..#.######.#######..######....##.#######.#...........##.....#
#####.###.####..#..####.####..........###.##.###.#.##..##....#.#.#......##.#..###.....####...#..###.####..####..##########.#######.#...##.#.#.####.####.###.######.#..#.#.#.#.##...####......###.#....#..#..##.#.###.#####.####...##..###......##.###.#..##..#.#....####..###..#....##.##....#.....##...##.#.#.#.#.#.##.#.##..#.##.#####..#.................#.#######..#.####..##.#.##.....#.##..#..........#.#.#...##.#.#.#..###.#....####.#####.###.##.#....##...#.#######.####.........####.#..#.##.#.#.....#......#...#.#######..###.#.#########.##....#####.#.###.##.###.#...#..#.#.###.#.#.####.#......#..#.##.##.####...#....##....#.##....#.##......####.######........###........#####.#.#..##.##.##.##.##..#.#.#.#
#.....###....#.###..##.......#.#.##.#..####......###..#############.#.#.#....##.###.#.#....#.##..##.#....###.#.####.#.#.#..##.###..###......#.##...###..#....####..##.#.#.###.##.####.#.###.#########.#.##.##..#.#......##..#.##.####.....#.##.#...##.#.####.#.#.##..##..##...###.######..#.##.##.###.####.#.#.#.#.#..#.#.##.####......##.#.#.##.##.#######.......#.##.#....##..#......#.#######.#.##.####.##########..#.#.##..#####.#....##########...####.#..#.###......##.#.##.#.####.####..#.##.##.#.#.#.#...##.#.###.#..#....##...#.#.#..###.####..#.###.##.#.##...#..##.#.######.###.###......#.#.##.#.#.#####.........#...#.####.#######.#......######.#####.....###.#.##...##.##.####.#.....##...#.#...#..#.####.###
#.##.##.####.######....####.##.#.#####......#.##...####..#..#.#.#.#####.####.#...#..#####.##############.#.#.#..#.......##.#....##.....##.#......###.####.####.#..##..#.#.#....###......##..#.........###..#..#####.#.###..##.#...#.############.###..#..##..#.###..####..##.##.......###.#..#.####......#.#.#.#.#.#.####..###.######.#####.#.####.......##.#.#.#....#.#.#########.#.#.#....#.##.#..#....#...#......##.#.#####...#.#.#.##.##.....#.###..#.#.##.......#.####.....###....#....#.##.##.##.#.#.###.######..#######.######.##.#...##.#.#.##.##......#.#..##.###..#.#...###........##.#.#.###.########.##..#.##.##.#####....#.......###.##.#...........#..#.#...###..###.##..#......##.#.####.#####.#####...##...#
#..###.......##.#.###.##....##.#.#...#.#.########.######.##.#.....##...........#...###.####.#.####.##....#.#.##.#######.##.####....#.#.##.##.#.###.........##....##..########.##...#.##..##.##.#.#.##.#######.##....#..###.##...#.#.....##.#.#.....##.##.#####..##.##.##.##...#.##.##...####.#..##########.###.#.###.#.###..#......##..##...#....#####.###..#.#.#.#.##.#.##.#.#.######.##.###.####.##.##.#.#...#.##..###..##.#.#...###.#.....###.....##...###..#.###.#....##.####...###########...#..#.#.#...####...##...#.#...#...##..###.#......#.#...###.#.####.###.#.##########...####.###..#.#.##.....##.##.#..##.##..#....##.####.#.######..##.#.#.#######...#############....##.###.#.#####..#####.#.#.#.####.##..#.#
#.##...###.#..#.#.#...#####.##.###.#...#.####.....##........#####..###.##.###.###.##.....#............##..........#.....#...#...#.######..##.#.#######.#.#.###.###..##.#.......##.##.##.########.#.#..#........####.##.#.######.#######........#.###..##.#.##..##..##....##.###.#..##.#....####...#.##############......###...#.##..#.####.###.#.#.##############.########...........#..#..#...###########.##.#############..#.#.#.##..##.#######.##.##.#..##.##.######.####...####..........###.##.####.##.###.#.####.#.#.##.##.#####...#.#.######...#..######.#####....##.##......#....###.###########.####..#.##.##..##.#.#.###...####......#.#####.#......######.#....#..####.#..#..##.###..###..#.#....#......#..#.##.#
#..###.######.#.#.#.#..##...#..#...##.##.#....#.#..####.###.#.##..##...##.#...##...###.#...###.##.#.#.###.#.#.#.#...#.#.###...#.#..###...##..###.......###..##...##.#....####.##..##.#..#.#####..####.####.#.###.#######.##.#.###..###..#####.##...##.##.#.#..####.##.#.##....####.##.##.#####..#..............####.#.###.#.#.#..####....#..##.#......#........#####.##.##.###.########.#.##.###.###.#...######.##.#.#.##...####.#####.#.....#.####..#####.##.#......####..###..#.##.#########.###.....###....#......#####.##.##.....#.#####.....##.######.#........##.#.......#.###########...#.#...##..###..##..#..#######.###.#.#.#.##.##.#.#..##...#.#.##..##......####.##.##.#####.##..#..##.####.#.##.#.##.######..#.#
#.######............#.####.###.##.##..#..####.#.######..#.....###.#..#.##.##.#######.####.###..##.#.#..######.####.####.....#.######.###..#####..####.#####..##.##..##.###.....##.####.##...##..##....##...#.#.................###.....##.....##.###...###...##.##..#######.###.....#..#.....##.#.#####.#.##.#...##.#.....######...##.#.##.######.#.#...####.#..........#....#.......#######...#.#.....###...#............#...##....##.#.#.#......####.#.#..#####.####.#..#######.#####.##.##..####.#.##...##...####....#..##..#.#######.#########....####...########..#.##.#.##.............###...#####.....##..##.###.####..##.###....#.######.####.##.#####....####...#.....##...##..###...###.##.....####.##....########
###....##.#.##.#.##.#.#....#...#########.##...#.#....######.#.......##..#######.###...##..#...#####.#.##.#.######..#....#.#.####.#.......####.##########....##..##.######..#.#..###....####.###..####.######.####.#.#.##.#.###.#.###.#.###.#.##..####.#####.###.#..##.........##.#.###.#.#.#.#..#...##..#######.##..##.#.###.##..############.#...#.#.#....###.##########.##.#.#.#.###.#.#...###.#.#####.###...##############..##.######.####.###..##....##.##...........###.##...#.........##....########..#.#....#.##...####......#.##...##.#.##.##......###.#.##.##.#..######.#.#.#.##.##.....#.....##.##..##.##......#.##..#..####.##...#.####....##....###.#.##.#####.##.###.#####..##.###.#....#.#....#..###.##...#.##
#####.#######..#.##.#####.###.##.........####.###.##........######.##..##...........#....#######.######...........##.#.##.#.##...####.##.##...##.....#...#.####.##.#..#.####.##...##.###.#......##.....#####.#....#.#.##.####........###...#..##....###.........#####.##.##.######...#.#.######.#.#..#####..#.#..##..#.#......#####.####.##.#.#.#.###.#.#.######.##.......########...#.#.#.#####..........##.###.##.##......####.....##....##...##....##..#.#..##.####.###.#.#..#...#.#.#.####.####...##.#.##.#.########.###...######.##.###........####.#.##.....#.#######..#.##########..#.#.###.##.##..###.....#.#.##....#.##.##.#####.#.....#####.##.##...###...........#...#..#.###.#......#.############.#......###..#
#...........##.#.##.##....#...##.#.#.#.#.#.....##########.#.#####..###.##.###.##.#.##.#.##.###.....#.#..#.#####.#.#######.#..###......##.##.#....#.#...#.#..##..##.##........###.###.###...#.######.####.....##.#.#.#.##.##...###.##...#.######..##...##.##.#.######..####....##...#.#.#....##..#.##.###.#.##.##.##.##.#.#.####.#.#.#.#..#....#.#..#########..##.#..#.#.#..##.#.######.....###.#.#######.##..###.#.....#.##...###.#.####.###..#####.##########.##....#..#......###.####.###......###.##..#.##.#.##.....###.###..##.##..#.#...#.#.##....###....#####.#.#...##.#.##.#.#.##..##.#####..#####...##.#.####..####.#...........#########..####...#.#..##.#.#####.####.#####...#.#.#.####..###..#...######.#####..##
####.#.###.##..#.##.##.######..#.#.#.#.#.####.##........#.###.....##....####..##.#.##.#.#....#####...##########.###.#.#...##.##..#.#.##..#..#.#######.#######..##...######.#...#.#...#.###.#.#......##.###.#..###.#.#.######.##....########.#.##..#.######..#.###....##....#.##..#.###.#.##.##.##.#.........#.####...#.###...#..........##.#######.......#.##......#######.......###.#.###...........#.####.##.#.#.##########..#######...####....##........##..#..##.##...#.##...######.....#.####...#..####..#....#.#...#.#.#.##.....##.#.###.#..##.############...#...###............##..#.....##..##.#####..#....#.########.#.#.######..##.#.##...###.##.#.###.#....##...####.....###.#.####.#.##.##...###.#.##...#.#.###
#.######......##..#######..#######.#.#.#.####..#.#.####.#.##..###.####.###.##..###########.#....####..........#.#.......#.#..#..##.#.##########..........##...########.######.########.#...####.#.#.#...####.##########.##.#.###.######.#........##...#..##.#...###.#####.##..#.##...#.#..###########.##.#.##...###.##.##..#...#.##.#.#........##..#.#.#....##.#####.#.#.###.#####.#.....#.#.#.##.####..#.#.##...#.......#.#####.#.#.###....#.######.##.#.####.##..#.##.###.#######.#.####.##....#.#...##.###.#.##########.#...#..###........#.#########.##.#.#...#.#.#####.#.##.############.######........####.####.......##.########.##.........#...######...#.#.##..##.##.##.#####.###............#.#####...###.##...#.#
#...#.#..###.#######.##.##.#.##.#..#######....######....#.##.##....##..##.....###.#############......###.#.##.#######.#.#.##.##.#..###.##.####..###.##.#####.####.#.#.........#.#...##...#...####.#####..######.##.#.#...#...#.#.###......##.#.#.##.#...###.#.###....#.######.###..###.#.####....##....#.#.##.###.#..#.##.###.##..###.#.#.#.##.#..##.###.##................#.#..##...#.#.###.#..#....#.##.#.##.###.#######.#.#.#......##.##.#......#########...##.##.##..##...#.#.#......#.##########.##....#.#.....#.##.#.###...####.##.#.#######.###.#........###.........#.##..##.##....####.#.#####.###...##....#.##.##.##........#.##.#######.###.....###.##.#..##.#...............###.#.##.#.####..#..#.###.####.###.#
###.....##...#..#.................###...###.#..##.##.##....###..#.###.##..##.##....##.#.##......############...#......#.#############.....#.#..##.#.##..##.###.#......###.#.#...###.#..#.#####.#..##.###.#.##.#.##.#.###.#####.###...##.#.##.#.#.##.#.#.##..#...##.###........##..####.#......##.##.#.##.#..#.....####.#...##..##..##.#.#########..#####..#.##.#.##.####.#.#...##..#.#.#####.##.#.##...#.....#..##.#.#..##.......#.#.###.##.##.#####...#.#.###.##..#.##.###.#.....#.########.####.##...#.####.#.###....#.#.##..####.###..#....##.........#.##.#########.#.#.#####.......##...##......##...###..##.#.#..#..#.##.#.##.#....#.......#...###.#..#######.#######.#########.#...#.######.##.#.##.##...#..#.#.....#
###.##.####.###...##.##.#.#.###.#...###.#.###.##..######.#.#########...##.##..####.......########........#####.#####.#####.###.#.###..#.#.....##....#####......##.###...###.##.##.....#####.#..##.#........................##...###.##..#.#..#.######.#.##.###.###..##.#.##.#.###....#.###.##..#..###.##.##...#.#...##.#.#####..#.##..#..#.#.###..####...#####.####.#.########....##.#.....####.#.####...#.###.###.....##..#.#.#.###...#..####....####.......#..##.#.##...#.#####.........#..........#......########.#.#.#..##.......###.##.#..#.###########......#############.######.#####....##.#.##.#.##..########.##.#..#.#.##.#.##...#.#.###.#######.##...######.##.######.#.###########..####.....#.#..###.##...#####
#...##.##...#...#..###..######..##.##..........##..##.######.#.#.#...#.#..##.##.##.##.##.......###.####.##.#...#.#...#...............##.##.##..####.....##.###....##..#######..##.#.###.....#.###.#.#.##.#.#.#############....#......##.#.##.#..#..##.#.#..#.#...##..###..###..##.#.##...###..###.#....#.##.#####.#..###...#.#.#####.###.......##....###...##...##.....##.#.####.############.###....#.#.#.........#######.##########.###....#.##..##..#.#.#.#.##..#.##.###...####.#.##.#...#.##.#.####.#.#...###.######.#.##..#.##.##.#######...#.#.####.####.####.........#.#.#########.##.#.#####.##.#####..#.....#..#.#.##.###..###..#####...#...#..#####.###.......................##.#.#.##.##.#.###.#.##.#.##.###.###
#.#.#...######.#####...##......##..####.#####.####........##.......#.###.##..##....#..###.#.##.....#.....#.###.....####.###.#.#.##.######..#..##....#.#.##.#...##.#..####.#...##..#########....#..########.#.##............######.#####.#.#..##...########...#.#######...###..##..#..#.#..#####...###.##.##.....###.######...#.....######.#.#.#####.####.#.#..#.##.#.#.........###.##.#...#.....##.#####.##.##.########.#...#.#.##.#####..##.#####....########..#######.##..#...#######.###.##########..###.#.......#.#.......#####.....#....#.#............##......#.#.#.#...........#.#.####...###.##.....##...##.##.####..#...##...##....##.#.#.#...##.#....##.##.##.#####.#.#.#.###......#.##....####..................#
#.###.#.####.#.#.##..###..####..####.####.....##.###.####.####.#.#.#...#####.##.##.##..#######.##.######.......##.##....###.########...######.#..#.##.#..####.########......#.######...#..####.##.#........######.##.####.#####.......###.##.####..##......###.###.#.###.#.##..##.#.##.##.....##.###...#.##.#.####.......#.#.#.###....##..#.#...###....######.#..###.#.###########.#..#.###.#####......#.#...#............#..........#.########..#.####.#.#..####.#.##...##.#.#.......#.######.##.#..##...#.#.#.#.#.....#.###...#.#.#.#...##.#.#.#.#####.##.##.#.#.######.#.#.###.###........#.#...#..##.#####.#..#############.##..#.##.############.###.#.##....####.....########...###.#.##.#####..#.##.##.#.############
#.#...#.#......#..#####..########.##..#########......#.........###.#.#.##....####...##.#.#.#...####.##########.##.#..####...#..##.####.#.##.######.####.##....##.......#.##.#..##....#.#.####...#####.##.####.#...#..#....#.....#.##.##...#.....#.####.#.#..##.......#####.###..#.#..#..##########...#.#..#.#....#.#.#####.###...##.####.####.#...#######.#.###.####.#.......###.#.##.#...#...######.#####.#.#.##.##.##.#####.########..###.#.#.##..........##..#....##.###.#.###########..#........####.##.#####.##.#.##.###.#...###.##.#######.#....########.###...#.######...#...##.#######.#.#########.#.###.###..#.#.##..#..######....#.##.#.#.####.....#.##....#####.#.#.#.############...#.###.......###.........#..#
####.####.##.####..##.#####.......##.##.#.#.#######.####.#.#.#.#...#.#####.###.##.#.####.#...#.#...............###############...........#............#######..##.##.#.###..##########.#.##.##.##..########.#.#########.######.##.##.###.###.#.###########.####.##.###.###.....####.###.......##...#.#.####.#.#.##.#....##...#.#..#....#....###.########..#.###..#.#.#.#####.......##.#.###.#......###..##.###.####..##....####..#.#.##.#.#.#.#.##.#.#.#.##..##.#.#.##....#.#......###.##.##.########..#######.####..#..#...#.#.#######.......##.##.#.#.##...####..#.#......#.#####..#..#....#.#...##.#.......#####..##.#....###......#.####.##.....##.###.########.##.#.###.........##..#.#..###.#...###.#...#.#.#.#####.##
#....#.##.#....###....#.#...#.###....##..........#####.#.#.#.####.#####..#.#......###.#....#.######.#.##.#######.#......##.....#.####.##.##.#.###.#######..##.#############.###....#........##.###...#.........####.#.###.......#..###...#...#.....##.####...##.##..##.#...#.#...##...#.#.#.#..#####.#...######.####.##..##.##.##.##.#.##.###...###....#.##.#.####.#################........#.#.##...#.#######...###.##.##...##.##.#.............#.###.#..##......#..#.#.##.##.#####.............####.####.......###.####.#####.......##.#.##..#..#.#....#.####.####...########.#########.########.##.#.#####.#.#.#.##....#.##.######.#.........##.##..##...#.#...#.......#..#.########.##.##..##...#...###.#####.#........#
####.#..####.#.#.####.....##########..######.###.#.##....#.#.#......#.##...#.#.#.##...##.#####......######..####.######..##########.###..#..####.....##.##..####....#.##.####.####.#.######.#....###...#.#.#.#......#.#####.##.###...#.#.###.#.######..#...#.##.##.###...#.#.#.###..##########.....#.#.#....#####.#...#.######..#.##.#..#..##.#.....####...........##.##...#######...#.########..#.#.........#.#...#.##..#.#.........###.#.#.##.#########.################...#.......#.##.#.##.#....#..#.#.#######.....##..#.#############.#####.####.##...........###..#.##.##.#...#.#........######...#.#####.#.#.####.#####..#.#.####.##.#.#######.##..#.....####.#.##...##.##.##..#.##..##....#####..########.#.#.#.####
#.##.##..##..#.#......##.##......####.#.#..#.#........#.##.#.#####.##.####.#.#.#..###.##########.#.##...###......#.####.##....#.#....###...###.##.####..###.##.##.#......#.##..#.#.####.......#.##.###.#.#.###.#.##.#.#.#....#.#.##.######...#......##...###.##.##...#.#.#.#.#...##.##.#.#.##..#########.##.......##.##......##.####.#.##.###.#.#.#......###.#####.......#.........#.#..##.#.##########.#.#.##.#.#.###..#####.#.#.#.##########....#...##...........##.#.####.###.##.####..#.#########.##.........#.##.####.......#.#....##.....#....#.#..#.#######..###...........#.....#.######.##.##.##...##.......##...##.##......#.#########..##.....#########.#######.#####...##.#..##.#..##.....####.##.#.#####.######
#.....##..#.######.##.######.###......#...#########.#.#.#..#.#####......##.#####.##...#.##.#.##..#..###.....####......#.###.#...####.....#.##........##.#.#....#########.#..##.#.#.##...####.##........#.###...#.##.......#.##.#.........###.#.#.#.##..#..##.##..##.##.#.#.#.##.##..........##...##.##....#.####.##...#.#.#.##...#.#.#..#.##..###.##.#.#..##.....##.#.####.####.#.#####......#.#.##.#.#####.##.#.######..######.#.####.......######.#####.#.#.#.####.....##....#.##...##.##.....##.##....#.##########..##..###.#.....#.######.###.###.##.#.###...#.##...######.#.###.##.####.#.#.##.##....###..#.#.#####.##...#.######.###.#.##..##..#####.#.##..........###.###.#..#.#.##....####.#####........##.#####...#
#########...##.....####......##..##.#...#..##...#...#.#.##.#.#.....###.##..##.#######...##.#.#..##.##.##.#.##....####.#.#.#####......###.#..####.##.##....###.##.#....##.##.#.........#.#....##.#.###.########.###..#.###.#.##.####.####.###.###.#####.##.##.#..##...#.#.###.##.##.#.#.#.##.##.#.....###.##...##..##.##.###.####...######.#####....#.#.####..######.#....#..#####.....##.#####..........##########....##.#.#.#######.##.####...##......####.#.#..#.##.#.####.######.###..#..###.......#.##....##..#.#.####.#####.#.#####.######.#..####..#.....#.#..###......#.#..########.#.#.#.#...#.####.#.########....###......###.....#..##.#..######......#.##########.....####...###.#....#..##.#.###.##.....##.###.#
#####.#...#.#..#.#.#....#.##.#############.####.#####.#..#.#.##.##..########..........#........#####..########.#.#........##....#.##.##..#####...##.###.#...#..#.####.#.......##.####.#.##.#.#..###...##.......###.##.#...#.##..##...#####.....#.###....####.##.##.#.#.#...###..#..#.#####...###.#.#..##..##.##..##...#...#..###.####.#####.....#.##.#...########.#.##.####.....##.####...###..#.##.#.###.###....##.######......##.........##.###.######.#######......####.#......#...#####...#####.#.##########.##...##......##########.#...##.##....##.##.#.####.####.###########..#.#.#...#.#...###.#....#.#.#.##.###.##.#.##.#.....###.#.##....##....##.#####....#.##..####.#######.#.#.#.##.##........#####.#####.#.#.#
#...#.###.#.#.#########.######........................##.#.#.#..#..##.##..######.#######.#.###.##.###..###.....#######.##....##.#.#..#..#####..#..#.#...###.##....#.....#.##.#####....#.#..#.##.#...#..####.#.##...##.#.#.#.#..##..#.....###.#.#...#.##..##..##.##.###.########.#.##.....#.#.##..#.#.###.##..###..##.#########............##.##.#..###.#..........#.#...#.##.#######.####.....####..#.........##.##..##.#..###.##..#.####.##..##....##.#.#.#.####.#.#..#.#.#.#.#.##.#...##..#....##.#.##.####.#...##.##..#.##........#.#...###...#.####...#.########..#......##.##..##.#.#.###...###.....####.#.#..#.#.#.#....####.#####.###....####..#####..##.##.###....##.##.....##..#...#.##.#..#.#.######.####..#.....#
###.#.#.#.#####.....#...##.....###.#######.#.#.#####.###.######.##.#...##..##.########.#########....##.#...##.##.......#..####..##########....###.#.###.##.....##...#####.##...####.#.#.#.##.#..#.###.###...######..#.#.#.####..##.##.#.##...#.#.###.#..####..###..##......#..###.##.#.#####..##.#####....##...##..#.......####.#.#########..#..#.######.#.##.########.##.####..#.#.....#.###...##.###.##.######..##......##......##...########..#####.#.#....#.#####.##.#.#.#.######.#..##.##.###..#...........#..#####.#.##.#.#.####.#.###...#########.##..#.#..##.#########..##.###.#.#.#.##.###..#.###........##.#.#...#.##.######....##.####..##.#.##..##...###.#.#####....#.#####...######.#.##.#......#....##.#.#####
#...#.....#########...#######.#######......#.###.......#.#..##########..##.#..#.#............#...##....###.##.#######.#####....###.#.......#.##...#..######.#.####.##......#.###....#.#.#..#.#.##.#...#.##.##......##.#.###....##..##.#####.##.#...#.##..#.##..##.##..#.##...####.##.#.....#.##...#.####.###.#####.#.###.#....###.........##.#.##....##..#.##......#.#......##.##.#.###.#...###..###.###.....#.#.###.#.#.######.#..#.###...#.###...#.#.#...##.......#......#.#.....####.##..##..##.######.########....####..#.#.#....#.#.....###..#....#####.....###........#..##..#.#.#...#........##...###.##.#..#.#...#####..#.##.#.####....##.##..#.##.##..#..#....#.#.##.#####.##..#..#.#.######.########.#####.#.##.##
#.#.##.##.#.#.#.#.##.###.######...#.#.##.#.######.###.#####..#.#.##..#.###.##.#.############.#######.#......###........###..##.....####.##.#.##.#.####.##...###.#...###.##.####..##.#.#.#.##.###..##.##.##.##.#.#####.#.#...#.###.##......#..###.#####..##....##..#####..#.#....####.#.##.#######......###.#.##.######...###.#####.#.#.#.##..#.#..#.##..##..###.##.#...####.....#....####.#..###.....####.##...#.....#.####.....#.##.###.###.#.#.###.....#.###.##.#.#.#.##.#.#.#.#....#..##.##.###......#....###.#.####.##.####.#.##.....#####.##.#.####..######.##..########.##..##.#...#.#.#.#.##..#####.#..#.##.....###...##......#.#..####....###.#....#..###...####....#...##..#..###...#......#####..#.#.#.#.#.......#
###....##.#..........##.....#####.....#..#.#......##..#.#.##.#.#.###..........#.#.#...........#......#.##.#...##.#.#.###.##.#..##.##.....###..#.#.#.......###...##.##....####...###.###.#..#.#...#####..#...#.#..##...#.##.##.#....##.##.###.#.......##.####.####..##...####.##.##...###....##.#..#.#.##.............#.#...#.....#.#.#.###..##.##.#####..##...#..###.#....##.##...##.#.#######.#######.....#####.##.##....####.##..#.......#.....#.#.##.##..#########.########.####.###.##..##...#.#.##.##.#.....#..#....#..#####..##.##.##....##......##.#.########...#.##....##..#.#.#####.#######..##.#.#.######.##.....###..######.#.##.##.####.....####.##.###.#.##.####.#####...##.#.#...########.#.##.#.#.#.#.##.#.##
##..##.#..##.#.############.#.##..#.#.########.##..####.#............#.#.####.#.#.###.#######...######..####.#######.#......#.########.#####.##########.#..##.#....####.###.###.##..##..##.############...#.###.####.####...####.#.#...#..######.#####...###..##..##..#.##....###..#.###.##.##...##.#.#..###.#####.###.#.#.##.#.####.#...#######.....##.###.#.#.####.##.#.#...#.#..#...............#####.#....#####.##.#.##.##.##.##.#.#.#...#.#.....#####.##..#.#..#.......##....#########.##.#.#.#..###..#.########.#######.####.##.##....#.###.######........#.#..#......#.###.##.#.#.###.##.#.#..###.#......#.#..#.##.##.##....#.#...##.#....#..#.#..........##......##.#.......#....####.##..##..#.#..#.#.#......#.#..#
#..##..##.##.#.#..####.#....#.#..##.###...##...#..##......##.###.#.###.#.#........#...##......#.#......##....#..#.#..####.###.##.##....##.....##.#.#######..####.#..##..#........##..##.#####.#.#.##.###.####...#.#..##...#.##...#####.##...#.#......##.##.#.####..##.#..##.#...####...#..####.#..#.#.##.#.......#...#####..#.#....#.###.##......#.#######..#.####.######.#.###.##.##.######.###.#.#..##.#.##...##...#.####.#######..######.####.###...#.####.##...##########..##......##.#.#..#.#.##...##.#.....###...##.##.....#######.#.##......#.#.##.##.####.#.####.######.#.#.............#.#####..#.######...##.#..##.#..####.#.###....##...##.###.######..##.###......#.#.#########.#####..##.#...##.....##.#.#.#.##
#.####.#..#..#.##........##.....##..##..#....###.##..#.#.##..##..#.###.####.#.#.#...#.#..#.##.#.######.##.#.###.....##....#...#...####.##.##.###......##.#######.##..##.###.##.####.##...##................######.##..#####..###..##....#.#...##.##.#####......##.######..#.##.###...####....#.##.#.#.#..###.#.###.#....##.#####.#.#..#####.##.###...#.#.####.......#...###...#.#...#.....##...#####.#####..#.####.###............##......#.##.....#.#...........#...#####.#######.##.##....#.##.#.##.#..###.###.....#.......#######...###.##.##.#.....##.#####...#.#..#..##.##.#...########.####.#...##...###.####..#.##..#.#.##.#....#.#.####..######........##..####..#.#.####.........#..##.#.##....#####.##############
#...##.#.#####.#..#.###.####.##..##..##.#.#.##....##.#.#.#..####.###....##..#.#.##.#####.####.###.......######..#.#.##.#####.####.##...##.#....##.#.#.....##..#..######.#...##.##...##.#.#..#.##.###.#.#.###.........##.....##...#####.####.###...#.##....##.#.#....##...##.#####..#.##.###.##.##.###.##..##.#...#.#.####.....####.##.....###..###.#.......##.#.#.###.###...#.#.##.##.#####..#.##.##...##..##..#.#..##.#.#.#.#######.#.#.######.##.#####.#####.#.#####...........#.#..##.#.##.####.##.#####....##.#.###.##.#.........#####.##..#.#.#.#.....###..#.....##.###.##.#.###.#.#.######....###..#......###.######..........##........##..#..####.##.#..##....####.####...#.##.####.##..#..#.##....##.##.#.###.###.#
#.#.#..###.########.#...#....##.##..#########..#.#######.##.##...#...#.######.####.#.#...##...#####.######.#.#############...#.#.....#.##.#.#.##..#.###.#..##...##......###.#...###.##.######.####...###.##..##.#.##.###.##..##.##.#......#..##.###..###.##..#.###.####.#####.....##......#.##.#..##..#..##..##.####....##.####.####..#.#..###.#...#.##.#####.#.#.......##.##.#.##..#.....####.......#####..##...##..###.#.#.......#.###.....##.#......#..######.......##.##.#######.##..#.##..##..#......##.###..#.##...#.#.#.##.##.....#.##.##.###.#.#.#.....###.#######.#.#...............#.#.####.#.#####.#...#...##...###.#.####..#.##.#..##...##..#..#.#.######.###.....###.#.####.#...##.#.##..#.#####.......#...#..#
######.##..#.##..#..#.#.#.####...##.#.........##..##.....##.##.#.##.##.#.#....##...#...#..##.##.#######.......##.#.##.#....###...#.#.#.#..#######.#.##..##....#####.#.###...##.##....####.#...#....###...##.##..#.#..#...##.######.####.######...##.##...##.##.##..#.##...###.##.##..#.######..##.#..##.####..#....##.####.###.....##.####..##.##.##.#......#.###.#.##.##...#.#.##.###.##...##.#.#####...##..##.##..####.#.###.#.###...#####.##.##.########...###.#.##..#.##....#.######.#..######.##.#.###....##.###..#.#.######.##.#.###..#.##.###.#.#.#.#.#..##...#.##......#.##.#.###.####.#...........#####.#########...###....############..#....##.##.#.....####.###.#..######.#....#.##.#..#.##...##..#.#####.###.##
##.#....##....##.##########.#..#.##.###########..##..###..############...##.#.#..#####.#.######.#.###.#######.#.........##.##..#.###.#.##..#.##...#####.###.#.##....#...###.#..#..##.##...########.############.#.####.#.#..#....#...........##.##..###.##..######...##.###...##..##.#.....###..#.##.##....##.##.########......#.####....#####.#..##.##.##.#####..#..#..##.####..#..##.#..#..###.....#.###..#####..###.###...###...#.#.....#.#..#.....#..#..#..####.#..####..#.##..###...##...##.#..#.#.###.#.###...########..#.###..#...######....###.########..#.#......#.#.##..###...###......##.##.#.###.#.###.....##..#...##.#.......##...####.#.###..#########.##.#.######.#.#....####.#..##....##.##..##....#...#...#
#..###.######.#....##..#.#..##.#.#..#.....#.....######...####.#.##.#.#.###..#.##.##....####.#.#.#.#.#.#...##....#.####.###.#..##.#####..##.#..###.###...#.###.####.##.###...#.##.########.##.##.####.#.###.#....#.##...#.##.##.#...##.#.###.###..##.#....##....##..#.##..##.#.##.##..#.#####.####.######.#.##.#......##.##.#.#####....####...####.##.#...#...#.####.##.###....##.#.##..##.##..##.#####.######...##.......###...########.#.####.###.#.##.##.##.##.#####....#######.##.###.##.#....#.##.#...#.#...#.#...##...##.....##.#.#####..##.#####.##.#.##..#####.##.##.###########.....###.#####..#........##.#####..##.###..#.##.##....#....#.###.#####.#.#.#...#.#..#.#.#.....####.##.##....#######..##..##...#...#.#
#.####.##.......##..##.#.##..#########.##...##.##..##..#.#....#.#........##.####..##.#.##.....#.#.#...###....###########...##.####.#######.##.....#...###.##...#########..#.####.#..##.#..#.......##.........##.#.###.##.#..#..###.#..#.##....#.##..###.###.#.####.#..##..#.#..#.##.##..........###......####.###.##.....#.#.....##.#.#.####...##..####.####...##....#.#.#########..##..#.###..####.##...#.#..#.##.##.#.###########.#.###..##..##..#.......##..#..##.##.#.....##...#...######.##.###..##.####.#.#.#.#..##.###.#####..#.......##......#.......#.##..##..####..##.###.######.######.########.#.##.......##.###..##.##.##..##.###########..##.#....#.#.###...##.#...#####.#...#####.####.#.#..####..##.##.#.#.#
#..#.#.######.#..##.#.....##....#.#########.##.##.##..#####.#.....###.#.#####..#.##..#.##.#.#.......#.....####...........#..###.#...........##.#.#######.....#.#.........##.#..####..#.##.#######....######.##..#..##.##.#######...##.#.###.#######.#.....#.#.#....##..#.##.#.####..##.###############.#.#....#....##.####.##.#######....##..#.###.##......#.#.##.##.#.....###.####..##.#...#.####.....#.....##..#..###......###.......#######.##.##.##.##..####.##...###.###..##.##.###..##...#..###.##..#########.##...........###.###.#.#..##.#.###.#.#.###....####....##......#.#.###.......#.#.#.#.##########.####....##.#######..##..##.##.......##..####.#.#...#.####...#####.....#..##...#........###.##..#..#.###.#
##...###.#.#..#####.#####....##.....#.#.....##.##....###....#########.###..###.#####.###..####.#.########.##...##.#.##.#.#.###....###.#.#.########.###...#.#.#####.#.###.#..##.##.##........#.#...#.##.......#####.##..######....#.#..###.#.##.#.##.###.#.###.##.#.##.#######....##.#.......##.##....###.##.#.##.#..#....####.##.#.##.##....##..##.##.#.#.######..##.#.#.#.......##.###.##.##......###.#####..####.######.##.....####.##.#.#.###..##.##.###..##...#.#####...##.......#.##.###.###..##..##......#.#...#.##.###.####.#...#.#.#.##..#...#.#.#...####.##.##.######.##.#.#.#.#########...#...#.#.##.##########.###....#.###..##.......#####..##.#.##.....#...##.#.###.#...######..##.##.##.#.#.#....#.#########.#
#..#.##....######....#.#..##..#####.#...##.###.#..##.#...#.##..........###...........#...##############...#########.#..###.#...#.####.###.###.#.##.....#.###.....#####...##.#..##.#######.#.....#.#.####.##.##.....#..###...###.####.##...........#.#...#...####.#.##.......##.#.#..##.#.##.......##...#.#######.##.##.#..##.......##..##.####.##...#.#.#......##..#####.##.#.#.###...#.##.###.#.#..##.....##....###....#..###.#....#..#.#.#.#########....##....#.......##.##..##.##........#...#.###.####.#.#...##.##.##...#......#####.###..##.##.#############....##....##..##..............##.###.###....#.........####.##.#....##.###.#.#.####.###.........##.##.####.........#......#.##..#...#######.######.##.##.###
##.#######.#.##.####.....########.....######...##..###.#.#.##.##.##.#.##.#####.##.#.#######.#.#.#...#...#.#.#.##.#..##..##.#####.#.....##.#........#.###.##..#####.....#.##.##....#.#.....#####.#.#.#....##..##.#####...###.....##....####.#.############.####...#..###.#.###..####..#.#..##.###.##..#####..###...#..########.#.#.##..##...#.#.#..#.#.#.##########...##...#####...#.###.##...#.###.##..#.#..#######..####.########.###...............#.#.##..#.####.#.###############.#######.#####.######.###.####..####.########...###...##.##..#...#.#.#.....##.###########..####.##.##.#.#.........#..##...#########.##..###.#.##..#...###...#....#######.#..#..#......####.#.##.##.###..##...#..#.####...#.#...#.##..##
##.##..##.....#.#..#.#####..###...#.#.#...##.#.##.##...###########..#.#.........###.#.............#...###.#........#############.###.#.##.####.##.#####..###.#.....###.#.##..##.#.....#.###.....#.###.#.####..#.#.....#######.#.###.######.#####...##........#.#.##.##..###.##..#.##.#.#.###...#####..##...##...#.#.##.....##.#.#####..###...#.##.###########..##..###..#....##.#.###.#.###.########..##.#.####.#.##...##........#...#.######.###.##########.#..#####.##.##.#.##.#..#.......#..........##...##....#.##...........#.#.#.#.###...##.#.#.......#.#..#..#####....##...##.####..#.#.#.#.##.##.####.####........##.###.#..##.###.####.##.##..#...##.#.###.#.#.#.##.############.#####.#.##.#..#...###.#.###.###..#
#...##....###...##.###.####.....#########....#.##..##.###...##.##..##.#.##.#.#.####.#.###.####.#.####...#####.####.##.............##.#.##.#######.#...##.#.#.#.#.###...#.##.#####.##.#########.##.#...#.##...##.##.#.##....####...#####..........#####.###.#####.##.###..##....##....#####...#.##..##..##.##..#.#.#.###.####..#.....##.#...#####...#.#.#......####..#####.#.###.#.##..###...#.##...##..###...........#..#.#.#.########....##...##...#.#.#..######.#####...#...#....##.#.##.###.##.#.##..##.##..#.##..####.#.#.####.#...#...###..###.##.#.#######.##..##...#.#####.##....##.#.#.#.###......##...#.#.##.##.##....###.#####......#.....####.####.#.##..#.#.#....#.#.##.##.##.##..#.######.##.####..#..#...##.##
##.########...#.....#.......###########...####.##.#####...#.......##..####.#.#.##...###...#....#..###.#.##.....##...##.#######.#.##..#..###...#.#####......###.#.#...#.#..####.#..#..##........#..###.#..#.#..#.#..#..####..###.####....##.###.#.##....#.....###.##...##..####.#####....##.#.#....####.....##.#.#.#..##...##.#####.##..#.#.##.####.......##.###.###.....#.###...#....######.#....#.##.###########.#.###.#.#.#.......####.###.#.#..#.......###.##....##..###.#...#.#######..##...#########..############...#.#....#.#.#.###..######...#.#.......#..##..#.#####...#####.#..#.#.#.#.######.######......###...#.########.###.#.#.##.#.#..##.....#.#.###.#.###.##......#..#.##..##....##.#...#..#.##...##.####..#
#...#.##.###.##.###...#.#####.....#.#...###....##..#.########.#.########...#####..#.#######.#.#####...#.###.#.##########.###...####.##.##...#....##.##.#.#.##..#.##.#######......###.####.###.##.##...#.##.#.#####.#.#####.##.###.#..##.##.#####.##.######.#...#..##.####...##..##...#.##..#.##.#....###.#..#.###.##..#.######...###..##.#.....##..###.#..#####..##.##.##...##.###.#....##....#.##.#...#.####.#.#####.#.#.###########.####.######.#.#.#.#........##....###..#######.##########.###..#...##......#.###.###.###.########...##......##.##.#.#####.#.####.........#....##.####.#.#.#...##........##.#.#..##.#......#.##..#.#.#.#.#..####....#.###.#..##.#..##..#.#.####.##..##....####....#.#.##....###...#...##
#.#..........##.#...#######...###.....#...####.##.##...#.##...#.#........############.##.######.#...###.#.###########.#......#.###..##.##.#.##.#.......#.#.##.##.#..#.#.#.####.#.#.###.####...##.##.#.#.####.#.#...###........##....###.##.....#######.....#.#########.##.#.###.###.##.###.###..#.######.#.######..##.#........#..########.#######...#.##.......##...#..##.###...#.#.##..#.#.##.####.#...........#....#.####.###...##.........##..#.#.######.#.####.##.....###.#.##...#.#.##.#...#.##.#####.#####.#.#...#...#...#.#.#######.##.#.#..##.#....##.#.#.#..###############...######.#.#####.#.##.########..#.#.#.####..##.#.########....##.###.######..#.##..##.#.#...#...#.###.####..#.######....##.....#...####
#.###.#####.##..##.##.......#########.###.#....##.##.#....##.###############.#.#.#.#..............#.##....##.#.##.......#.####.#...##..##.####.##.#.####.###..##.##.#...#..#######..##......#.##.#..###..##....###.########.#..####.##..##.#.#...##....#.#.#.......##.....#..##..##.##.#...######......###......##.#....#.#.#.###...##.##...###.#..#.#####.#.#.###.#.##.#....#.#.###.###.###.##...##.###.#.#.#.#...##.#..........###..##.#.#.##..##.#..#.#####....#..#.#.###.#......###.#....###.........##.....#.#...####.######.#..##.#.#.##.####.##.#.#.###.#...##.....#...##.##.#.#...#..###....##.#..#...##.####.#.###..#.#.###......##....####....###.##.####.#..#####.##.##.###.....#####.#...#.#..##..#.###.##.###.#
###...#.....###.####..#.#.#.#...........#.##.#.##..####.#....##......................#.#.######.###..######.....##.##.#.####...##.####..####....###.#....##..##########.##.#.######....######.##.##.###.####.####..#........##.......##..#.#.##.###.##.#.#.#.#.###.##.##.##.###.##..######....##..###.##...##.#.##.###.######...#.#.....#.#.....##.#.....#.###.#.###.##.###.##.#..##...#...#..##.###..##.#####.#########.#####.###.##.####.#####.##.##.......####.#.##.#.......##.#.......#######.###.######.##.....#...##.#.##.#.#.###...####.##.####.#####.#.#.#.#..#####.###...#.#####...#####.####.#.##.#.....#.########.....#...#.##..####....#.#.###...#..#.####....####.........#.#....##.#.###...##..##...#.##.....#
#...####.##...###....####.#.##.##.#.#.###..###.#..##....##.#.######.#.#.####.###.#.#####.##.....#...##......#.#.....#.#####..#.##.#....##....#.##...####..##..#.##...#...#.#.#.#.####.##.......#..###....##..#....###.#.#.#..##.##.#####.#.####...###..###.###...#######.#....#..##...##...#.###.###...###..#.####.##....#.##.###.#.###.#.##.#######.#.#.#.##.....##.####...#######..#.#.#.#.##..##..##.....##.....#.#.###...###.......###....#####..#.#.#.#...##.#..####.##.#..#.##.#.##..##...#...#.....######.#.###.##.............#.####.###..##.####.#..#.###.##.......#.#.#......##.#....#####.###..####.##....#.##.##.#.#...#.#####..#.####.#.#.#...#...##...##.##.#..##.#.##.#.###.##..........###..###.#.#..##.#.##
###.#....####...###.##....####.#..###...#.##...##.####.#####.#......#.########...#.##.....#####.##.#############.#.######...##.##.###.##..##.#.####.#....####.#....#...#...........##.##.#.##.##.##...#.###.##.#.######.#.#.##..#....##..####.#.######.##..##..#...##....#.#.#####..#..##.##.#.###...#.#.#.####....#..##....#...#.#...###.#....#..##.#######..#.#.##....###.......##.#######.##.####..#.#.#####.####....##.####..####.##.######.##..##.#.#.###.#####...##..#.#.#######.###....###.#.#.#.#.#...####.##...##.#.###.####....#.#..##.##...#.....#####..##.#.###.....######.##.##.###.##....#.###.#.#..####.....#.#.#.#.#.....##......#.#.#...###.#..#.###...#...##..####.#..##..#.#.#.####...##...#.#.#.###.#..#
#...##.#....#.#########.###..######...#####..#.##.#........###.####.#.#........#.#####.#.########..#....#.##.#...#...##...#..###...#########.#...#####.#.#..##########.#.##.######....##.#.#..####..#.###...##.#...##...######.###.#..##......#.##.....##.###.####.##.#.####...#.##.##.##.#.....###.##.#.....########..##.####.######..##.##.#...##.....#.#########..##.#...#.#.#.##......##.##.##...##.#..#.#.......#####.##.##...##......#.##.##.#####.#.###.....#.###..##.#...#.#####.######.###.#.#####.###..########..#.##....##.####.#.##..#..###.#####...##.##.#..####.#......#..#.##........####.....####......#####.#.#.#.##.#.#####.#.##.#.#.#...####.....##.##.#.###....#.##..#.##.#.#.#############.#.#...#.##.#
##.#####.##.###.#.###.#...##........#..#.###########.#.#.#.#...#....#.##.####.##...#.######.......###.#........#.#.#####.##.#####.##.##..##..#.#.#.....#.##..##.#......###..########.##..####...##.##.##..#..####.####.##.......##.##..##.##.#########..###......####.#..##..#....#.####..#.##.##.########.#..#..##...##.....#.#.#.######.##.##.####.####...##.#.##.######.##.###.#..##.#..#.##.#..####.##...###.######..#.##....######.#.##....##.....#.#.#...#.#.#...##..#.#.#...#.##...........###.......#.#.###.#...##.#..##.###.........###.#.##....#..#.#.####..##....#.#.#.#.#######..##.#.#....##.#####.##.#.#...###########..####.##.#..#.#.###.#....##.#.###.##.#.#.###.##..#.##..#####.............#.#.#.###..#.#
#...##...##.###.#.#.#.#.#####.#.#.#.##....###.#.###..#.#.#.##.##.#.##.####....#..#.#....#.##.##.###.#########.##.####.##..###.....##....##..##.####.##.#.###......####.#...##........##.##....#..###..##.##.##.....#.#.###.###.##...##.##.##..###......##...#.##....####..####.######..##.#.#......##.##...##...##..#..##.#.##..........#.##..#.##....#.#.###.....####.##...########..#.#.########....#.#..####.........##.#..##.#.#.#######.###########.#.#.#.###.#.#.##.####.###....#.##.###.#####..#.#.#...........#..#.##.##...#.#.##.##..........##...##.###..#####.#.##.#.###.......##..#.###.#####.......##.#.#.#...........##.......#.#.##.#.#...###.##..###.######.....#.#..#####.###.#..#.#.##.#.#.######.####.#.#
###.###.##..#..............##.###.#..###.##.....#...############.#.##.#....####.##.##.#......##.##..##.###....####.......##...#.#.#..##....##..##.########.#.###.####..##.##..##.###.##..##.#.##.#...######..##.#.##....######.#..#.##.##..##...##.#.#..###.#..#.#.####..##......#....###.#.#.##.#.....###..##.####.#.###.#..##.##.########..##..####.........#.#.......#######..##..####...#..#.##.######....##.######......##.........###......###...###.#.#..####.###.....####..##....#...#.....##.#.#.#.#.###.##.########..##.##.#.##.##.#.##.#.#..###.....##.####.###.####..##.##.#.##..##..##.....#.###.#.##.#.#.#.#.####.##################.####.###...##.....######.##.####.##.##......##.#.#..#.#######.##...####.#
#....##..#####.##.##.#.#.####.#...##..##..##.##...###.#.##...#...########.##....#########.#.##...##........#.##....#.##.#####.#.########.#..#####............##..#....##..########...##.##..#..#.#.#..##....##..#..##.#.#......##.#.##.#..############.##.###.##.###....######.#...####...#.#.#..##.##...#.###...##.#...#.####..##.......##.####.##...###.#####.#.#.#.#.....#...####.#.####...##.##....##..####.......#.##.#..###.#######.##.#####...#####.#.##...##...##.##....#.##..#.##.##############.#.########........#.##..#..######..###..##########.#.....#.....#..###.###..#.#..#########.##.##...#.#..#.#.#####....#.....######.#.#...#.###....##.###.#####.##.####....#....##.##.###..###.##..#.#.#...###...##.#
##.#..#.##......#.#..#.#.##...#.#..##..##..#.#..#.##.......#...#...##......##.#.....##....#..##.##..#.#.#.##..#.#.##.#..##....#.#........##.....##.##.##.#.#.#..###.#.##.##........#..#..##.#.##.#.##..#.#.##..###.##.#.##.#.#..#.#.#..##........##....##......#...##.#..##....#.#....#.#.#.#.##..#..#.#.#.##..#..#.#.#.#....##.##.#.#.#..#..##..#..#..##....##.#.#.#.#.#.#...#...##....##..#.....##.#..##....##.#.#.##..#.#.##....................#.....#.#.#..#..#.#.#...#.#.##.#..##..#.............##.#........#.##.#.#.#..##.##......##...##..........#.#.#.#...#.#.##...#...#.##.##.........#..#..#.#.#.#.##.#..##...#.##.#.#............#.#...#.##.##.#...............#.##.#.#.##..##...##..##..##.......#...#.#.##.#
##########################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################E#

#S.###########################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################
##.##.##.#.##.#..#.#.#.#.##.#.#.##.##.......#...##...##.#....#.#...#.#...#.#...#.#.#..##.#.#.#.##.#.#.#..##.#.##..#..##..##..#..##.#.#.#.#.#.#.#.#...##.##..##...#.##..#...##.#..#.#.##...#.##.#.#.##.##.##............##.##.#....#..##.....##..#.#..##..##.##..#.##.##.##.#.##.##...#.##.#.#.#.#.#.##...#.##.##.#.#...##...##.##.##...#.##...#.##.#..#..##.##......#...#.#.#..#.#.#.#......#.#......#.##..#..##...#.#.#....#.#.#.##.#.#.#.##..#.##..#.##....####.#.##..#.#.##.#.####.##.#.##.##.#..#.##..##.#..#.#.##.##..#.#.#...#.#.......#.##.#..##.#.#..#..#.#.##.##....##.##.#.#.#....#.#.##..##.##.#..##.##.##.#.#.#.....##..#.#.##.#.##.##.##.##..##..#.#..#.##.#.#.##..#...##.#.##....#.#........##.....#.#.##.#.#.#.....##.#.#.#.##..##.##.#.##........##.##...#.#.#
#..#..##.#.#..##.#.#.....#..........####.##...#####.##..##.###.#.###...#.....#.....##.##.....#.#....#.##..#.#..##.#.##..####.#.##..#.#.#.........###.##..##.##.###..##.###.#..##...#.#..#...#......#..#..####.#.####.####..#.####.#.#####.#####.#.#.####.#...##.#....##.##.#.##..###.#.#.............###...##.#..#.###.####.#.....###.##.####.#.#..##.##..#.####.##...###.#.##.#.#.#.######...######.#..##.##.####.#...####...#...#......#..##.#.##.##.#####..##..#.##.##....#....##...#.#.....#.#.##....##..##.#.......##.#.#.###.#.#######...#....##....##.#.##....#.#####.##..#...#.###.##...##.##..#....##..##..#.#.#.#.######.##.#.......#.#..##..#.####.#...##.#..#...###.##.##..#.##.####...####.#.##.#####.#.#..#...#####..#.#.#.#.###..#.#..#..###.######..####.#.#.#
##.#.###.#.##.##.#.#####.###.##.#.###.######.##.##...##....#.#.#..#########.######..#..#####.#.####....#.##.#.##..#..##..##.....##.#...#########.#.#.###....##.#.##.##..#..##.#..#...######.######.##.#.##..###.####.##.##...........##.#.#.##....#..#.#.#.####.##.#.#...#.#....##.....#########.#.#...###.##.##.#.#.#..#.#.####.##...#..#.#..#.##..#.#..##..##..#..#..#..#.#..#.....###....#..#.......##..#..#.#..###.#.####.#.#...#.##.#.##..#.#..##...##..####.#.##.###.###.#######...#####.#...####.##..##..######.###...#.#.#...##....###.##.#.#####.......####.....##..##.##.###..##.#..###..##.##.#####.####...#.#....###...##.###.#####.##.#..##.#.##.#.####.##.###...#.....##.#..#.#.##.###.####.##...#.#...##.#.####....##.#.....#.#.##.#.##.###...#...#.##.##.#.#.#
#..#.##....##.##.#..##.......#..#.###..#.....##.####....#.##.#.##.#.####..#.#....##...##.#.....#.#####.#.##....##...####..###.###..###.#..#.#..........####.##.#.#...##.##.#..######.#..##.........##.#.#..####.#.....#..#####.#.##.###.#.#....#.##.##.#.#..##..####.###...###.#######.#.#.#.#########.#.......#.#...#.##.#.##....###...##.##....##.#.#.##..####.##.##.##.#.##...###.#.####.##...#.#.#..##.#.##.##.##....#.##.##########...#..##.#.###.#####..#.#.#..#..##..##.##.#..##.##.....###..#.#.#..####.#.#........###.#.##.######..##....###...####.#####.#.#######....#...##.##..#.##.##.#...#.##.#..##.###.....####.###.##..#..##.##......###.#.#..#.##....#.#...#.#.###.##.##......#.##.....#####.##.#.####.#.#..####.##...#####.#.##.#.##.#.##.##.###.#.......#.#
##....####.##.#....##..###.#.#.##...##.#####.....##..#######....#......##.######.####.#....###...#.##.....#.#######.##.##.##..#.##..#..##...##########..##..##.#.###.##.##...##.##.#.#.##..#######.##...#.###.#.#####.#.##..#######.##..#.###.#####.#..#.##.###.#.##...##.###..##.#..#.#.......#######.#######.#...#.#.##.#..##.####..####..####.#..#.#.###....####.#........#######.#.#..#############.#....#..##.##.#.##..#.##.#.#.#.###.##.#....#.#..##.##.#.#.##.#.##..###..#.#.##..####.#...#.##...##.##.#...#####.####...#..#..##.###.#..##..####.##.#..#.#.......##.####.###.##.###......##...###.##.##.##.#...#.#.#.##.##..##.##.##...##.###.#.#.#.##...#####.#.#.###...#.........####....##.#####.#..#.....#.#.#...##....#..#.####..#.##.#.##.#.#.........#.#.###...#
#..##.#.##.##.####..########.####.####.##..#####..##....##.####.#.######...##.#.....#.####.#...#......#.#....##.#..........##...###.##.###.##..###.#.#.##..##..#.##..##..##.###.#......#######.#...####.#.#.#.###........##.#.#.#.#....##.#.#..##.#.##....#..##.#.###.###.#.#.##..##.#.####.##.#.#.#.#.##.##.....#.#....#.#.##..##.#.###.##..##....##.#..##.#####.##########.##.##.#.....##.........#.....##...##..##.#####.#.##.......#...#..##.###.#.###.#..#.#.#.....##.##..##.#..##.#..#####...##.#..#.#..###.#.###..#.###.##.##..#.#.#.##..##..##..##.#.##...#.######.##...#.#.##.#.##.######.###...##.....#.##.##.#...##.###.#........########...#.#.##.#..#.##...#######.########.###.######....##..##.#.#####.....#.###.#...####..##.#.#.....#.....#.##############.##
#####...##.##.#..#.##.##..#####...#.#...##..###..###.####...##.....##..###.#..###.#....#.#####.#.###.##.#.##.##.##########.####.#........#.###.#.#.#.#.##.####...###.##.###.#.#.######.#.###.....#..........#..#########.##.#.....####.#..#...###.#..##.###.##..#.#.#.#.#...#..##.#..#.#.####..#.....#.#..##.#.#.######.#.#..##......##..###.#####..#.#.##....##..##.##..........#.#.###########.##...#.######..##.#...#.#..#..#######.###.#.###.##..#.#...##.#...#####.##..##.#..#.##..#.##..####..#.##.....##.....#...##..##....#..##.#.#.#######..#.##....###.#######....###.....##...##.#.##....###.#####.###.########.###..##.#.###.####...##.###...#.##.####.###.##...######.####.......##....#.###.##..#.##.#####.####.####.##.###.##.#.#.###.#.########..##.#.#..##..#
#.#.###....##.##.#.##.###.#.#.###.#.##.####.#.##..#...#.##.######.####..#..##...######...###...###...######...#..###.##...........######.#.#.#.....#.#.#..##.###.#.#.#....#.#.#.##.##......#######.#.#.#.##.#.##..##......#.#####.#.#..##.#.#.#...#.##.......##.#...#.#.###.##.#..##.#.#.#.###.#.###.#.#.###########........########.#..##.#.#.##..##.#.###.###..##.....#.#.####........#.###.####..#.#.#....##.##.#.###.##.##.#.#......#..#.#.#..##...#.###..##.##...#..##.##.#.##..#.##..##......#####.##########.#.#.##.######.##.##.....#.##.###.#..#.##..##..###..###.##.#.###.###.##..#..####.#...#.#....##..##.##.#.#.##..#.#.#####.####.#...###.##.##..##...##.###.##..##.....##.########.#####.#.##.##.##.#.##..#.##..##..##..#..##.#.#..####.##.#.##..##....##.##.##
#...######.#.......##..#..#.......#....#.##.#..##...###....#.##.#....##.##.#..#.#..#####.....#######.#.##...#...##.#.######.#.##.##..#.......#####...#.##..#..##.#.#.####.#......#..######.........#####.#.....##..##.###.....#...#.##.##.###...###.#####.#####.#.#...#.#...#..##..#.............#........#.#...##.#.#.####.#.##..#..#.##....#..##.##....##...##..##.##.#.###########.###.#.....#..########.##.......#.#..#.##.#.######.##.#.#.#.##..#.#..#..##...###.#.##...#......##..##....#.##.#.##...#.#.#.#...###.##..##..#.#...#####.#.#..#...##....####..##.#.##......#####.#.#.###...###...#.###.####..##.##.##...#.###.#......##...##.###......#..##.##.###.......##....###.##.##.#.#.#.##.##.#..#.#..##.#.##.##.###..##.#..##.##..#.#.##.#........##.####.##..##..#
##.##.##.#.####.##..##.##.#######.####........#####.##..##.#.#..#.####.....#.#####...#####.###.....#.#....#.#.#......#.#.###########...#####.##....###..##.#.##......####.######...##########.#.##.#..######.#####.#######.##.###.#.##.##..###.####..#.##.##.#..#####.#.###.##.###.#######.#.#.#######.#.##.#.#......####......##.#.##.#####.#.##...###.##..###..##########........#......#####.#.##.#.##.#.####.#.#.#.##...##.............#.#.#....#####...##..###.....#..###.######..#####.##.#..#.##.#.#...#.###.##...##..##...#.###.....#.##.###.##.####..##..#.#.#######.##......#.#...###.##.##.##...##..###.##..###.#.#.#.##.###..#.###...###.#.#...##...#.....#.##.#####.##...#..##.#.#.#..#.#..##.#.#.###.#.....#.#...##..#.###....##.#..#.#.####.#.#...##...##..#.##
#..#.......#..#####..#.#..###.###......#.####..##.#....#####.##...##.#####.#.#.#.###.#.#.#########.#####.###########.#....##.##.##.#######....##.#...#.##.....###.####..#.#.##...###.....#....#.#####.#.#.....##....##..####........##..#.##....#.##.#.#...#.##.#####....##.##.#.#.#.#####.#.#########.####.#####.######..#.##.##.#.#..#.#......##.##...###.#.##.####...####.#####.###.####.....#.#.....#.#..#.#####...####.#####.#.#.#.##.#.#.####..##.##.####.#.#####.#.##.......##.##.###.##.##......###.###..##.###.###.##..#.....#####.#.##.#.#.#....###..##......##......##.###.#.#.#####.#...#..#.#.###.#.#..##.#.#.#.#.#.##.######..##.###.######.#####.#.###########..######.##..#.#.#.#.##.##.##.....##..#.#####...#.###...##..#####.#.##.#.##.#######.#..#####.#.##
##...##.##...###..##...#.##.#.....#.##########.#....####.##..####....##..........##.......##.#.##...#.#...##.#.#.....##.###..##.#...#.##.##.#.######...#####.####....##.#....#.#.#######.########.#.....#####..###.####.#.####.####.###.#..#.#.##..#.#.###.#.#..#.#.####..#.##...........#.#####.#......#.#..##.####.....####..#......##.######.#..####..##.#.....##..###.#####.....##.#.######.####.##...##...######.##.#..#.###.#.#.#.#..#.#....#.###..#..##..#.##.##......#######...#.#.####..##.###.##..####.........#...######.#.#.......##.#...#.####.#.#######.########.######...#.#.#.#.#.###.####..##.....##......#.#.#.#.....##..##..#.#..#.#.....##.........#..#.#.###.##...#.##........#.##.##.######.##.##..##.####.###.##.##.##.......#.#....##.#..##...##.....#
##########.###.##..#.#......##.##.#####.#....#...######...##..#.##.#..#####.######..#####.#....####.#.#####......#.#..#...##.##...#.#.#..####.#.#.####...###.##.#.#####.###.####...##.#....###....#####.##....##...##.#.#..#...#....#.#.#.####.##.##.#.#...#.#.##.....###.#.######.###.#.####..#.######.#.#.##..##.##.#.######.##.######.##.......##.##.###.##.####..##.#...#...#.#........##.#...#######.##.###.#....##.##.#.#.#.########...####.#.#.##...####.#.##.####.#####....#.###.#.##.##.######..#.##.###.##.#.#.###..##....###.#.###..#.###.#..#.#.#...###....##.#....#.#..###.......#.#.##..#.#..##..#.#..####.#.#.....#.######.####.#.##...###.#####.#####.##.##.#.#...####.#.##.##.#####.#..##...##.#..#....##....##.#.#..#..#..##.######.#.####..##.##.###..#####
#.###.##.#.#.#.#..#########.#########...#.##.#.####.#.###..##.#..#.####.##..##.#######....####.#.#.....###..#.#######.#.###...#####.....##.#....#.#.#..###......#.#.##.......##..###..####.#.####..##....####..##.##....##.########.#......##..##..#...#.#......####.##...#..##.####.###.##.##.......##.#......##...#####.#.........##.#.########.##.##.#...#....###..#.###.#.#.######.#####....###.#.........##.####.##.#..#.#.####...#.###......#...####.##...#.##...#........####.##....#..####.##.##....#...#.#..###..##.##..##..##.######...#.#.#.##.#.#.###.###.##..###.##.##...###.#####.#.##.##.##..#.####.##..###.#####.#......#.#.##.#..#.#.#.#..#.#......###...#.#.###..##....#...####.#..#.###.###..##...####..#####.#...##.##.##...##.......##..###.##...##.#####
#.#......#...#.##..##........##.###.###.####....#.#.#..##.##..##.#..##...##.##.#.###.####.###....#.#####.##.#.#...........##.###.######.##.####.#.#.##.########.#....#######.###.....##......##.##.#####..#.#.##...####.##...##..#....#.#.####..##.#.######.#.####......#...##..#.##..#......######.##..######..###..#.##.#######.###..#..##.#.##.##.##.###.#.####.#.##..##.#####........#.####.#.#.#########.##.#..#.##.##.#......###.#.....####.#.###.#...##.##.####.##.##.######..##.####.##.#......####...###########.....####..######.....#.....#......#.##..#....##.....##.###.##.....#.#.#.##.##.###.#.#.######..##.##....#.######.#..#.##.#.#...#.##...####.##..###...##..##..##...#####..#.##..#..#.##....####.##...##..###.#......###..##.######..##.#.##.###......#
#.##.#.#.###...##.##..#####.##..#.#.##...#.####...#.#.##..##.##..#.###.#....#....#.#..#.#.#...##....#.#..##.#.#.#####.#.#.##.##....####.....##......#..#..##....##.###.##......##.##.#######.#......##.##...#....###....####.###.######.#..####.#.......##..#....###.####.#..##.#.###.####.#####....#..##.#....##...##.#..........#.##...##..#.##.#..##.###.....##.#..##.##..#.#######.###.##...#.#..##.###.#..#.##......##.###.####...##.##.#.......##.##.##..##..##......#...##.#.##..###..#..####.#..#.#.####.##.....####.##.#..###.#...#.#######.#.######..##.##.####.#.#....#.#..###.###.#....#..#.#.#......##.#..##...####.#.##.##..#.##.#..#####.#..##.###.####.######.###..#####.#####.##.#.##.##.##.####.###.#.##.#####.....#.######...###.#..#.#.##..#.##.#.##.##.##
#..#####.#.###..#.######.....##.#.#.#..#.#.#..###......##.##..##.#.#.#.####.###.##.##...#.##.######...##.########..######.##..###.##..#####.##.####...##.######.##.#.#.####.#.######...##.#..###.##.....###.##.#..###.#..#.#..#...#####.##..##..##.#.#########.###.#########....#..##...#...##.####.##..#.####.####..#.#####.#.##....###..##...##.##.##.#.##.#####.##.#...##....###.#....#.####.#.#.##....#.##.#.#######.....##.##.##.#########.##.#..#.#...##.##.######.########.#..##...##.##.#.#####.#.#.##.#..#####.###...#.#.##.#.########.##........#.#.##..##..#.######.###.##.##..#.#.####...##.....#.####..##.###.##..#.......##.#.##.##..##.....##..##...#.#.##.##..#.#.####.....#...##...##....#....##.#...#.##.#..######.....##.###.....#.##.#..#.##.##.#.#..#####
##.##.#......##.#..#.#.###.#....#.#.####.....##.###.#####.#..##......#.#.........#.####...####.#####.###.#..##.###.#.##......##....##.....#.#####...#.##..##.##..#.#....###.###.#..#.#..#.##.#.########.##...#.####.####...##.###.#...####.####....####.####.#.....##....#.####.#.#####.###.##.#.....##...#....#.###.#.##.#######.####.#.#####.##.#..##.#.##.#.##...#.#.######.##...####.#..#.#.#......##........#.#.####.##.##..#.#..#.##.##########.....#.##.##.#.#.##.#..##.#..#.####.###....#..##............##.#.#.....#.....##.#.##...#....####.#####....##.##.##.##.#....##..#..##.....##.###.##.###.###..##.##...#..##.#.####.###.#.##..##.####.####.####.##.#.##.###.....##...#.###.######.##.####.####..#.###..#...##.##...######.##..###...##...##.##.##...#.##.#.#
#.......##.#......##.#...####.#......#######.....##..##.#.##.##.###########.#.##....#.###..###.#..##.#.#...##......#..###.##..###.#######.#.#.#.#####..#.###..##...#.####...##..##.####.#.##.#.##.#......#.#....##...#.##.##......#.####.....#####..#.#..#.#.#.########.##....#.#.#.#..........#####.##.#.####.#..##......#.#.#....##..#..##....#.#.##....##.#..###.#.....#.#..##.#...##.##.....###.##.###.#.#.#.......##.#.....##...##.#..#.##.......###.####.##...#.##.#.##..##....#.#.#.####.#.######.#.####.###...##.##.##.##....#.####.####.##.#..#.#####.##....#..##.###.####.##.##.#####.......###....#..##...###.##..#......#.##.....##.##.#.#...#.#..#.#.##.#.##..##.##.##..###.##..#..###.#.......#.###.#...##.#.###..#..#..#.##.....######..##.###.#..##.###..#.#.#
##.####..####.###.##.##.###.########.#.#...#.#.#..#.###.#.##.##.##...##..#########.##.#...##.#.##.#..#.#.###..#.##.##.#######.##...##.......#....###..##.##..#####.#..#.###..#.##..##..........#....####...###.#####.#.#...##.#.#...##.####.##.#.#.##.##.#.#.#..####.....####.....#.########.#..##....###.##.#.#.########.#.#.###.####...####.#.#....####....#.##...###.###.##.######.##.#####.##.####.#...##########.#########..###.##.##....###.#####....##...###....#....#.##..####.#.....##.#.#.##.###....###.###..###...#####.###..##..#....##...##.#.##.....####.###......#.#.##.##..#.########..#..####.##..###....##.#.###########.####.##.....###...##.#.##...##.######.#####....##...##...##.######.#.#...###......##.####.##.#####.###..###....#.#.#.##...##.##.#.#
#####...#########.##.##..#..##.#.......###.#.#.##.#.##..#.##....##.###..##.#.#..##.##.###.........##.#.#..#######........#.#..#..#.########...##.#.##.#...##..##.#.##.#.##..##.###.######.####...#.#####.#.#....#.#..#.##.#########.##.#..#.##...#....##.#.#.#.##..#####...###.##.#.#.#..#.####.#####.##..##...#..#.##........#.#.#..###.##.#.#.##.####.#.####..##.###..##..##.#.#.#......##.#.##..#.#.##.###..........#.#....#.##...##.#####.######.#####..#.########...####..##..###.##.#.##..#.#........##.##...###.#######...#.#.##..##.####.#..#.#.....#####........#####.##.#.##.##.##..#..##.##.##....#.##.#######.##.#.##.#.##.###..##...#####..##.#..#.#.#..####...##.#...#####.###.######.#......##.#...###.###.####..#.#..##.#.......#.##.###.##......##.##..##...#
#.##..#.##.#.#....##.###.##.#..####.##.#.#.#####.....##.#.###.###....#.##..#...##..##.#####.#####.#..#...##..#.#..##.##.##.##...##..#.##.######.......##.###.##..#.#..#..##.##..##.#.###########.#.##....#.#.##.#.##.#.#..#.##.#.......##...####.#.#####.....#.##.##.####.##.###......##...##.......#.###.####...##.#########.#.....##.#.##.###.##.#.#.....#.#.##....##..##......#.#####.##....##.##.#.#..#...##.##.##.#.####.#.####.##.#..#....##.........##..##.##.#.###..#.##..##.#.#..####.##.########.#######.......##....#...#.#..###.#....####...#.###..#..###.####.#...##.#.##.##.###.#.##..##.#..####....#..##....#.#.#.....#.#...###.###.##..#####.##...#.##..##.##....###..##.......##.....######..#.#####..##....##...##..#.####.####.....#########.##...##....#.#
#.#######....####.##.#.#.##...##....#......##....#.#.##.#.#.#.##..####.###.###..#.###.#.#.#######.##.#.#####.#.#######...#.###.####...##..##.#######.##..#.#..##...##.#.##..#..###.#.#...##......######.######....##.#.##.#..#.####.##....#..##........#####...##..#.#....##.....#.#.###.#.##.#.###...#...#..###.##...#.#.#.....###.#........#.......##.#.##.#..###.##..########.#.#.#....####.##.##.#.##.########..#......#..#.#.#..##.##.###.###########.#..###.#........##..##.##.#.##..##..##.#.#.##.#...#..######.###########.....##.#.####..#####.######.##.#.####.#.###.##.#.##.##..##.#..##.##.#.##.#####...######...#...#.#...###.##..##...##.#.##...#.###..#.##...####..##.##..#.##########.##.#.##.#...#.##.##.#######..##...#.#.......#.#...#.#..##.####....######
#...##.#####...........#.####.###.#.#####.########.#....#.#.#..#.##..#.#....###...#.#.#.#.##.........#..##.#....##.#####.#..####.#..####.##..#....##.#..##.##..###.#.....##.#.##.#.#.###....###.####.####.#.###.#.........#.##..###.###.####.##.#.##.###...#.###..##.####..#########.#.###.##########...#...##.#..###.#.#.####.##...####.###.##.##.#..###.##.##..##..##.#####..#.#.#.####.#.##.##.##.########..###########.##.#.#.##.##.#..#.#...####...##...###..####.#####..###.##...##.###.##..#.#.#....###.##.#......##.#.#.#..#####..#....##........##.#...#....##..#.#.#.##.#.#...##.##.##..#..#.#....#.#.###..##..##.##.#######.#....#.####.##..#..##.##.##..##..###.#.#..##..###.#..###..#.#.......##...###.##.##.###..#..##..#...#.#############.#.##...##..##...#.##
###.....#..##.#.#.##.#...#.#...##########.#.##.....##.#.....##.#.##.##.##.###.###.#.#......#########.##.#..####.##.#.#.....##.#..##..##...##.##.#......##...##.###.###.###..#.##.#.#.#.##########.....##........###.#.###....#.##.###.######.##.######.###.#..###.##.#....###..#..##.#.##...##.#..#########.#..##..##.#....########.#.####......#########....##.###.##...##.##.#.............#.##.#...##.##.##.#.#.#.#.#.#.##...#.##.#..##...#.###..#.#....###.##.......#.###..#...###..#.##...##.#.#.###.##....#.####.####.#.#.##..##.##.####.#########....###...#####.##.#...##.....####.##.###...##.#.####.#..###.###.##.##....#.#######.#.#.##..##.#.##...#..##..#.##.#.#.#.####..####.##.##.....#####.#..###.#..#.##.#.##.##..######.#....##.##.##.#.#.##.####.#######..#
#######.##.######.######...##.##.#......#.#..###.##########.##...##.##.##..##.......####.#####.##.##.#..#.##.##.#....###.#....#.####..###.##..#####.##..#.###..#.#.#.#.##..##.##.#.#.#.##..##.####.##....##.#.#.#...###.####.#.##..##.###.#...#..#.##..#.#.##..#..##.###.##.##.##......####.##.#.##.####.#..##..#.##..#.##..........#.#.#####.#.#.#..##.#.#.##...#...##.##..##.###########.#....#.##.###.#..................###.#.##.#.#####.....##.######.##...#######.....##.#.######.#.#..###..#.#.##.....#.##.##...#.#....#.###..#.##.##.#...........####.##.###..#.#....#..##.#####...##..##.#.#....#.##...##....##....#..####..##.....#.#.#..###.#..##.##.####...##.#.#....#.##..##...#.##.###.#.######.##....##.#....##..##.#.##.....#####....##.#.#.#...##....###.#.##
#..#.#...#.#.#.####.#....#.#.....######...#.#######.#######..#.####.#..#..######.#.##.....##.#.#.....##.#.##.##.###.##.####.#...##.##.#.#.###..#.#..###.#.#.##.#.......###..#.##.#.#...###.##.#..#.####.##..###########.####.#.##.##..#.#.#.#.#.##..##.#......##.##..##..##.#...#.####.#.##.#..#.#.......##.###....##.#####.#######.......#####.#...##....######...###..###......######.######.##.##.##..###.#####.###.###.##.....#....#.#.#####....###....##.###..#....######.#.#.#.#....##.#.##......##.#.#####..###.....####.#...##.##.##.###########...##....#...##.###.###......#.###.#..##..######...##.#######.#####...###...#######.#...#.##.#.#.###.##..#.###....#.##.###.##.##..###.#####.......##..###.###..###.###.##..#.######...#.#.##.##.#.#.#.#####.###.#.#..#
##.....#.#.#.#.#.##.######.#####..#######....#.##...#.#.....##..#.#.##.##.#.##.###..##.##.##.#.##.##....#.#..#..##..##.##.#####...........#.##...##.#.......##.#######...##.#....#.##.##....#.#.####.####..###.##.....#.#.......#.###...#.###....##..#.##.###..#..##.##.##..###.####.#.#.#..##.#...#####......###.##...#..####.#.####.###.#.##..#.#######..##.###.##.##.#.####.#.#........#.##..#.##.##.######.#.#######...######.##.###.#.#.#.##.#.#.####.#....##.####..###.....#.#.####.......#.####.##.###...#.##.#####...##.###.##....##.#.#.#.....#.#######...###..##..#.###.#.##.#.#.##..##..##..#.####..##.#...#.#.###.....###..##.#.#.###.##...#.##..##.##.#####.##.##.##..##..##......##...####.##..##.#...##..........##...#.#....###...####....#.#.##.#..###.#.##.#
########.#.#.#.#.#..#.#.#...#.###.......##.###..###.#.#####..#.##.#.##..#...#..##..##..#..##...########.....##.##..##..#..##.######.#.###.#.#..########.#.#..#.#.#.....#..#.####....#.#####.#...#.##...#..##.#.#..###.....##.##.#.#.###.....###.####.#..#.###.##.##..##.##.##.#.##.#.#.#.##.##.###.#.....##.#.....###.##.##..#....#.####..#.###.#.#.##..#.##...##....##...###..##########.#..#.##.##.##.##..#.....#..##..#..##.....#..##.#.#.#.####.#.#......#####..##..##.####.##.#.##...#.##.####.#..##..####...##.#..#..###......#####.#....#.#####...#...###.###.##.#####.###.####.#....##....####.#..#.##....###...#.###.#.###.##.#..........####.#..##.##.##...##..#......##.#..######.######...####..##..#.#####.#.#.##.####.##.####..##.###.#####......#.##.#.#.#.##.#
#.#..##......#.#.##.#.#.#.#.....##.##.#........###..#.....##.#..#.#.###.###.#.####.######..#.#..##......#.#..#..##..##.##.#...###.#####.#.....####.#....#.##.....###.#.##...#.#..####.#.......###..###.####......###..#.#######.#.#.#.##.####.#..##..#.####.#.##..##..#..#.#................##..#####.###########.#.#..#..##.##.#....#.##.....#.#.#.#..##.####....#####.#...##..#.##..###.##.#..#.##.....##.#####.##..####.####.##...##..#.#...#.#....######..#.#..####.#..##......#.##.###.####.#..##.#..##.####....##.##...##.#.#.#..#..###.##.##.##.###.###.#..##.#.....##......##....##.##.##..##....##.##.####.#.###.#...###....#.#####.######.##.#.###.##....#####.####.###....###.###.##.##..###.###..##.#..##.#.########.#...#.##...###..#...##.##.#.#...##.#.#.#.##.#
#.##....##.#..............###.###..######.###.##.##.#####.#..##.#.#..##.......#.#...#.##..####.#############...###.##..##.###.#.#.##.#..##.##..#.#...##.########...########.#.##.####...#####.#.##.#.#...###.#.#.#...######.##....#.#.##.#.#....##..##..##..#..##..##.#.##.####.##.#####.#####.##.#.####...#.#.#....##.##....#####.#......#.#...#.#.##..#..##..##.##..#.#.#..##.#.##.##....#.##.#.#####.##..#.##..###.#.#....#######..##.#.###...####.....#..##.##.#.#....######.#....#.#####.##...##..#.##...######.##....########.##...##...#..##.#...##..#..##.#....##########.#####.########..##..##.##.##..##......#.###..#####...####.....##..##.#.#.#..#.####..##.##...##..####.#......#..##.....#.#.##....###....#.##.##.##.##..###..#..##.###...#####.###.........#.#
#.############.#.#.#.#.##.#....###.#......#.......#.#####.##....#...########.##.##.##.###..##..##.#.###....###..#..##.##..##......#..##..#####...#####..#.....#..###..##....#..#.#..#######.....#......###...#########.#.......##......#...###.####.##.####.##..#.###.#.#.....######.......##..##........#.....###.###.#####.#.#.####.#.#######.....###...###.######.##.####......##..####.#.#..#..##.#..##...#..##.#.#.#.####.#.#.#.##.....####..#######.##.##.##.....####.#.#####.###...##..####.###.#.###.##...##..####.###.#.#...##.#####...##..##.####.##.##...#.####.##..##..#.##.#.##.....##..#####..##.##..#.##...####..#.####.#..##.#.##..##......##......##..#..###.#..###...######...##..##.##.#.#####.#.##.###..#.#..##....##.##...###..##.####.##.##..#########.#
#.#...##.##.##.#.#.#####..####..##.##.##.##.#.###............##.#.###.##.##...#.#..#....##.###.#......#.##..###.##.##.###..######.#.####..#.#..#.#...########.##.#.##.#####.##.#.#.##.###.#####.###.##...######.#.####.#####.#.#..#.##.##.##....#.#.#...##..##.##..#..#.##.######.#####.#.###.#####.###.######.##..##..#.#.....#.#....####.#.#..##.##.#.###....#.#.#.#####.######.#..###.#...##.##.##.##.####.##.##.#......#.#.......##.###..####.#.#.#.#....##..##.#####...#.#.#.....#.###..##.....##.#..##..##.##..##......#.#.##.##....#####.###..#..##.....#..######....##.#..##.......#####.#..###.###..#..#########.#.###....###.##..###.##.######.###..########.#.##.#.#.##...####.#.###.###..####.#..##.#.#..#.#.#.##.##..####.##.#..###.#.##..###..##..##....###..#.#
#.###.##.#.....#.#.#########.##..###...############.#.###.##.#.....##.#.....#...##.##.###...##.#.####.####.##.#....##.#.#.##.#....#.##.##...#.#####.##.##..........##.......#..#...##.#.#.#..##..####..###.###.......#.#.....#########.....####...#.###..##.##..##.#.##......##.#.#.#.###......#..########........####...#.##.##.#######.#.#.#####.##.#.#####.##.#.#..###..##...#.#.##.#...####.##.##.#..........#....#.#.##.#######.####.##.#.#........###.##..##......##.##...###.###...#.######.##..#.##..##..###.#####.#.........##.###.#....###.#.##..###.##.#.##.#.#####.##..###.##.##.....#.##.#.#.##.#.##.##..#.....#.#.####.#.##.##........####..###...#.##...#..#.#...####..#.#.#.......##..#.#.#.##....#.##.#......###.#.##.#..#.####.#.##.##.#.##..####.###.##...#
#.#.#.##...#.#.#####.#.###....#.##########.#.#..##..####..#..###.###..#######.###.......##.##..###.....#.#..#.#.##...........####...##.#..#.....#.#.##..#.########.######.#.##.#.####.#.#.##..##...###.##..#.#######.#.##.#.##.....#...###....###.#.####..#..#.##.....#.#.####......#.#...#.##.#.##....#...#.####.####.######.##.##..##......#.#...##.#.#.#....#.#.#.##.#.##..#......#.###..##...#..#.#.##.#####.####.#.#..#.##.#..#.#....#..#.##.##.#.##.#.##.#####.#####.####.###.#####.#...##.#.###....##....##....###..#.#.####.##...##.####.#.....######...#.#..#.#...##...##..##.##.######......#.#.#.......###.#####.#...###..#.##..#######.##....##.#.#.#..###.##.#.###..#.#.##...#.#.#.####.##...#..##.#.#.#....###.##...#.#..#.##..#.#.#..#.##.#.#..##...........#.#
#...#.###########.#....#.####.#.....##.#.#.#...##..##..#######.#.#.##.#.#.##..####.##.###..###..###.##...##.#.######.#.#.#.#.##.###.##.######.###....#.####.##......#.#.###..#.#.##.#.#...###.###.##.#.##.##.##.#.##.#.###########...#.####.#..........##...##.##.#######....##.###.#.########.#.###.#.########....##....##.#.#..###.###.#.#...##.###.#.#.####........#.#.###.######...#...#####.#.##.#######.##....######...##.##.#.##.#.##...#######.#....##.#.#.#.#.#....##..#.#.#.##..#.###........########..####.#.###########.####.#..##...###.#..#.#.###...##...#.####.###..##...###.##...#.##.....###.#####.#.##.##...#...##......##.##.....####.##...###.##.#.##.#.##..##.#.###.######.##.#.####...#####.....###########.#.##....#.##.....##....#.#.######.##########
###....##.####......##........#.###.#....#.###..######.#.##.#....#.##.#.#..##...#####.#.##...##..#######....#.##.....#.#####.........#.##..#....##.#.#..##...######.#....###.#......#.#.###............##.##..#.#..#.#..##.#..##.###.###.##########.######.##..#...#.#.#..####..#.......#####..#.#.###.#.##.#.###.##..##.#..#.#.##....########......#.#.#.##.#.##.##.##....####......#.###..##.....##.##.##.#..####..#.#.###.#........###.#..#..##..#..####.##.....#.#.#.######.#.#.#.###.....########.#.#.###..##.......##.#.#......#.#.##..###.#...####....##.#....###.##.#.#.##.####..##.######.#########..#..##......#..#########.#####..###.##..##...###..#..##.#.##....##..#....##.#.#.#..##.....####...##..#.#...##..#.##..#..###.##.###.######.#.#.#..##.##..###.##.##
#.###.##...#.###########.##.#....#######.......##.#.#..#....####.#.#....##.##.###.#........#####..##...##.#...####.###########.##.##....##.###.#####.##.####.###....###.##.#.##.##.##.#.######.#.#.###.##..##...##.#.#.##..#.##...#..##....#..........##....##...#.#...##.##.#########.##.#.##.#.#.##..#.#....#.#.#..######......####..##.#.#######.....#.#.....####.##.####..########..###.##.#.#.##..#.#..##.#.###.#.#.....##.#.#.#..#..#.###..##.##.##.#..#####...#.#.#.##.#.#.#.#.#.#.#.#..###.....#...#.##..#####.####...####.#......##.....###..#.###.########.#...#......##...##.##...####..#.#..##.##...########.##.##.###....#.##..##.#####..##.###..##.###.#..####.#..##.####..#.#...###.#####..###....########..##.###...####.##.........##.#...#.##...##.#.#.....#
#.###..###...##..#.#.###########.#.##..#######..#.#.##.####..........#.##.....###.####.######.###..###.######..#.####.##.#.############........#.##..##.#.#..#.####.#.#.#........####...#.##.#######....##.##.###.........##.####.#.######.#########.#####.##..######.##...#.#.#............##...#.###.....##.....##.##.#.######.#.###.##...........###...##.####..###..#.##.##.#.##...##.#..###.#..##.#.##.##.#..#....#####.####.####.##.###...##...#.#..#.##.###.###.#.#.##.......#.#.#.######.#.###...###.##.####....#.###...#####.#.#..#.###.##..##..##..#.#...#...###.########.##...##.##..##.#.#.###....####.#.##..##....#.####....##..#.##.#..##...#..###...#.#.#####.#.##..#.###.#.###...#.#..##.##...####......#.###...###.##...#..#.#.##########...##.####.#.#.#####
#.#.#.##...#.###.#.#.#..#.##........##.#.######.....##.##...###.#.#.##.#####.##...##......##..#.#.###....#.###....##............###.....#.#.##.#.###.##...##.#......#.#.#######.###.#.###.#...#.#.#####.#..##...#########.##.#.#..###.............##..#.#...##....#.#.##.###.#.######.#.#.#..###.#...####.####.##.....#.#.#..###...#...####.##.##.#.#...#....#..##..###....#.#..#..###.#..#.###..##..........#.##...#####..#.#.##.##....#..####..###.#.##.#.#..#.#.#.#.#...########.#.......##.#.###.###..##.#..##.##.###..####..##...#.##.###...###....##..##.###.#.###....##.##...####..#.##.###.#...#.####..##..#.#..##..####..#####.##..##.#..##.##.###.##.#.###.#.#.....#.##.##..#..#.#.###.#...###.###.##.##.######...###.#...####.#.######..##.#..###.##..##..........#
#.#.#.###.####.....#.#.##..########.##.#.#....####.##...#######.#.###.....#...###..###.##..##...#.#.####.#..##.##..#########.##.#.###.###.####.#.#...####.#..####.#.........##..##..#..##.##.##...#.#.#...####.##.####....##.#...#####.###.#.####.##.##...#.#..####.#.##.#.#...##.##..######.###...###.#..#.#..#####.##.#.#.##.###.###..#.#############.##.#...####..#####...##.##.#.#.##...#.##############....###...#.##...#..#..####...##..##...#.#......#.##.#...#...###..........#####.##.#.##..#.##..#.##.##..#..#..##..##..###.###...#..#...###.####.##.##..#.#####.##..####.#..##...##.#.....###.##.##.##.##...####.##...##......##.##.##....#...##.##.#.#.....#####....#....##.##.#.......#.##...##.........##.#.####..###..##.....##.###..#...##.#..##..##.#########
#..........#######.#.#....##.............#.##.##......###.#.....####..###.###..##.##.#..#.#####.#.#..##..##..####.##...#...####.#.#.########.#...###..##....##..##########.####.#..##.##..##..###.#.....#.#.##.........##......#..#.####.#####.....#..###.####..###....#...##.##...#####.#.#.#.###.#.#.####.##.#......#.#.#..#..#...###.#.##.##....#..###..##.##..##..##.###.....#.#...#..###.#.##...........##.#####.#..###.#.#####.##.#..##..###...######...##...###.###.#########.##.#.###..#..##.#.##.##.##.###.##...##..####...#######...####.#.....##.##..##.....##...##.#.#....#####.##.###.#..##.##.#..##..###.#.#..####.#######..#.#..#####.##.##..##.#.#.##########.#...####.....#.####.#######.##.##.#######.#.##.##...##..#.###.##.#.#.##.###....####..........#.#
#########.##.##.#..#.####.#########.#.##.####.###.##.##.#.#####.##...###......##.......##.#.......##.#..##..##.....###.###.##.#.#.#.##..#......#...#.######.##.##..#.##.##.#.##...##...##.##.##...#####.#......#.###.############.#..##..##..#####.##.#....##..##.###.##.###..##.###...........#.#.#.#.##......######.#.#.##.##.##.##...#.#...####.##.#######..#.####.##..####.#...###.#.###..#..###.#.########....##.##..##...#.##..#####..##...###...######..#.#.##....#.##..##.#........###...##.....#.##..#.#....##.##..##.###.####.#.#.####.#.###.###..##.#####.####.###....####.##.....#.#.#.####..##.##.###.#.#.#.##..##....#...##.#.#.##.....#...##.##.#....#.#....######.##.####.####.##...##.##.#...#.....##..#..#.#..#####.....####.....##...###.##.#..###.######.#
#.##....#.##.##.##...#.#...##....#..#.#..##.....###..##.#...#.###..###.####.#..####.##..#########.##...###.#####.####.......#...#.#..##.#.###.####.#..##.##.....##...........#..#..##.##...#..###.###.#######.########...###......##.###.#..##.##...#.##.###..##...#...#.#...##..#.#.#.#####.#.......#..###########...#.#.##.#..##..###.#.#.#.##......#..##.#.##..##.....##..####.##.#.#.#.##.#.#########.......##....###.###.##.###.#.#.#.#####.##..#....#.#.####..##.###.#..##..####.#.###.#.########...##.##.##.###...##..#..##.##.#.#.#.#.......#....#.###..#.#...#.#.#.#.####....#####.##.#.#..#.##..#.##..#..#.#.#..#.######.##.##..#.#.######.##.###......####.###.##.#.#..##..##..#.#..##.###...#.#.#####.#####.#.##.#.##.##..#######..#.#..##.##.#.##.##.#####.#.##.#
#.#####......#...###.#.#.#####.#...##.##..#####.####..#.###.#.##..####.#.####.##.##.###..##...#....###.##..#.###..##..#####.###...##.##.#######......##..######..#.####.####...#####..##.###.##.#.#.#..#.#..####....##.#.#.###.##.##..#....###.####.......###.####...#.#.###..##.#.#####.######.####...##.##.##...#.#.#.#.##.#.###.####.#.#.#########.##.......##....#######.##............##.#..#.##.#.#######.#####..#..#.#.##.#...#.#....#.#...#######.#.#...###..#.##..##..##.##...#.##..#...#.#..###.##.##.#..####.####.#.###.##...#.#########...####.#.##.#.##.##.#.#.#....####...##..##.#...##..##....##.##.......##...#.##....###.#.#..##.##.##..#..#######....##.#..#.##..##..#.##.##.##.#.###.#.....######.##...##....#.#..###.##.#.########.#..#.##.##....##.#..#.#
#...##..#.##.##.####...#....#####.###..##...##....###.#.###.#..#####.......#...#.#....#######...##........##.#...####.#...#..####.##.##.##...#######.###.#.#.#..#####.####.###.##..##.#..#.#.#..#...##.#.#.###.##.######.#.######..##...##.....#.########..##....##.####.#.#.##..#.##.#.....#.###.#..#.#......###.###.....##...##..##........##.#.#.#..#######..####.##..##...##.###.#.##.##....##.#..#......####.#.##.##.#...##.###.#.####...##.##.#..##...#.###.##.#..##.#..##..###.####..##.###.##.#......#..#.##.#...#.#.#.#.#..###....#.#.##.###..###.#.#..#.##.##.#.#.#.####.###.####.##...#..##..###.##..######.###..###..####.#.#.#...###.#...##.#.#####..###.##..##.#.###..#.##.##.#..#.....##.#.#####..##..#..#####.#...##.....##.....#.###..##.#....#..####....##.#
###.###.###......#.###.#.####.##..#...#####.###.###.#.#.#.#.##..##.#######.###.#.##.#..####.#############.#..###....#####.##.#.#......#..###.#.##........#.#.##..##.#.###..#.#..##.##.##.#.#.##.###.##.#.#.#......#..##..#.#.##.#.#####..#####....###.####.####.###..##......##.##.##.###.#.#..#..####.#####.##...#######..###..#.#####.####.##.....##.#.......##.##....####.###.########..####....##.######..##....#...#.##.###.#.....#..##.##..##.##.####.#..##.##.#.##..##....##....##..###...#.#....####.#.##.##.##.##.#.#.#.##...####.....#......##...#.##.#.#..##.#.....#.##.#.#.##.#..###.####..##....##.#.......##.###..##.#....#.#.###.#...###..#.....##.#.#.#..##......##.#.##.##.##.##.#.###......###..##.##.#...#.###.#..#######.####.#.##......#.##.######.#....#
#...#.###...#.##..........#.#..#########..........#.#........#.###.#.#.#...#.....#..####.#....##.#.....##.##.#.#.########........##.#...###....####.####.#.#..##..#...#.##.....##..##.##.#.#.#..###.#....#.####.###.####.#.#..#.#..#.#######.###.##........#.#..##..##..#.##.#...#.##.#####.##.##.###.........###.#.##....##.##.......####.#..##.##.##...#####..#..##.####...#.###.##.#.#.##.#..####....#.#..######.#.#......##..#####.##.#..##.##............##...#.#..#.######..##.###..###..###.###.###......#.#..##.##.#...#.####.#.######.#.####.####...##.#.##.#..#.#####..#.#.#.#..#.##....##..#####.##..#.#.##.##....##....####.#.#..##.#.#..#..##.#####....#.#.######.####.#....#..#..##.###...##.#.#...##..##.#.#####.#.##....##...#.......##.#.#.#.#......####.####
###...##..#.#####.##.##.#...##.#.#.###.##.#.##.##.....##.#.#...#.#.#.#.###.#####.##..#.#.###.##..#####....##.#.#...##.#...#.####..#####.....##..#.###.##.#.##..##.#.#......#.#..##.##.##.#...##...#.##.#..........#..##......##.#.##.#.#.#.......######.##.....####..##.########...##.#.##............###.#.#..#..#..####.##..###.#######..#.#####...#######.##...##.....###...##.........#..##.#.#..##...#.##.##...########.#..##.##...#.##.##..##.##.######..###.#.##....##....##....##...##.#.#.#####.###.#.##...##..##.###.#.#.#..#......#.###.##...####..#.#..#.##...#.#.#.##...#.##.#..####..#.##.#.#..#.#######.#..####..##.#........##..####.#.###..#.####.##.#..#.#....##..#.####.##.###..#..########.###..###.#.#.##....#..##.####...#.############.#.##.###.#.....#
#...#..##.####.###########.###............#.#..##.#.#..#######.....#.#.##...##....##.#...#.#.###.##..####.##.#.#.###..##########.###....#.#####...##..........##..######.#.#.##.....#.##.##.#####...##.#.##.#.#.#...##..#.##....#.##...#.####.##.#.#.#########..##..###..##.#.####.##.#.#..#.######.#####.#.##.##.#.##....##.##.#..#.##.##.#..#..###....##......#####.####.##.###########...###...#.#####.#.##..###..#.#.##....##.....#....#.###.########.....##.#......#.####.#..###.##..####.#.#...##......######..##.##.##..#.#.##.#.####....##.##.###.###.#.##....#.###.#....##.##..#.#.##..##.#..#.#.##.#..##.#.#.##....####..##.#.##.####.##.....##..##..##..##.##...####..##...........#.##.#.##.#.#.##...#.##.......##.##...#####.##.######.#.##.#.#..#.####.#.###.###
##.###.#..###..#.#..#....#...############.###########.##.......###.#.#..###..####.##.#.###.#.#.#..##.###.....#.#..#..##...##...####..#.######.###..####.####.##..###.....#.#.#..###.#.##.#...##.###..#.###..######.####.#######.#.#..#.#..##..#.......##.##....####.##..##....#.#..##...#.##.#....###.....#.#.....#.#####.##......##..#.#..##.#.##.##.#########..##.....##.....##...##.####.#.##.####.#.#.#.##.##.##......##.#..##.#.#####.#..#..#.#.##.#####....####.##########.###...##..##..#.#.#######.#..#.#.##.##....###.#.#.#..###....##.##.#..##...#..#.#####...#.#.#.####...##.#....##.#....##.#.##...##.........####.###..######.#.##.####.#..##..#.####.##....###..##..####.###.####.#..#......#.##.###..#####.###..###.##.##..##..#.#.#...##.#...##..##..#.##..###
#...#######.##.#.##.####...###.#.##.##.######..........#.#####.#.......##.##............##.....##.#....##.##.#.##.##..##.#####.##.##.#.##...#.#...##..#.#..#..##.#.###############....##.##.##......##.#######.##.....####.#....#.##.#.##.##.#######.##...####.##....##.#####.#.##.###.##########...#############.#.#.#....#.###.###.##.##.##.#.##.#...#.#.#.#..##..#######.#.###.#....#......##..##..#...#.##.#...######....##..#####.......##.##.#..#.......##.#.##....#.##.#..##..#####..##...#.#.##..####.#.........####.......#.##########..#.##..###.##...#.#####.#......#####.##.##.####.###.###......############....#.#.#.###.#...#.##.#.#####..#.##..#.#..##.###.##..#.##....#.###.##.#.##.######.#...#..##..#...##.##.......##.#..##...#.###..###....####....##.#.#
#.###.#.#.............####.###....#.##...##.#######.##.#.##....##.#.##.....########.#####..###.#..##.#..###..#.##.#..###.##.......#########...###.###.####...##..#.#.##.#..##.##.####....##.#######..###.#.#.#.###.######..####.#.#..###...###.#..#...##.##.....###.##...##.#.#.##.#.#.#.##.#.....####.#.#.#.##.....#.###.####...##..##.##.#....##.##.##.#.#.##..##.##..#.###.#.######.###.##.##.####.###....#.##.###.##########.##.########.##..#.##.#####.###.......####.##.##..##...#.#.#####.#.#..##.##.#.####.####...########.#.##.##..#.##...###.#.#..###...#.##....####....##..#.#...##..##..#.##.##.###.#.###.#.#.####.#.#.##..###.#.#......##..##....##...###.#.#.###...#####....##.##.#.#.......#.#.###.####.#.#..###..#.#####....##..###.#.##.##..####.##.####..#.#
#.###...#############......#.####....###.#..#..##...######..#.##########.#...###....###.##.#.####.#####.####....#.#.###...#.#.#.#...#.##..###.#........#.###..##.#....#...##..#..#....#####...####..###....#.#..##.#.##.##........##..####.##..##...####.#..#.#..##.#..#.##.#...##.#......#.#####..##........#..#.#........##..#####.......####.##.##.##......##.##.##.##.##..#...###...#####..#.#.#....####.#.##.##.....#.##....##...........##...##..#.############...##.##.#..#####.....##.##.....##...#.#.#.......#####..........##.###...####.#.#...##..##.###..###.###.########...#.#####..#.##.##..#.#...#.#.#...#.#.##.#.#.###.......####.#####..##.######.##........###.#.##..##.##.##.....#######.#..#....##.#.##..###.#.##.#..#.###.##.#.#.##.###..#.#.##....##.#.#
#...#.###.##..##...#######.#.#.##.####...##.##.##.###.#######.#.#.....#####.##.####.#...##.#..#.#..##.#.#.#####...#.#.##.##########...###..#..#.#.#.##....###....####.###..##.##.####.##.#..###..##.#.##.#.....##.....#..########.###..##...##.####.#.#..##.####....#.#####.##.##..####.###..##.##..########.#.#####.#.###....##.####.####.#.#..#..#...######.#..##.#...#.#..##.###.##.##...##.#.#.####.###....#..##.#.#.#..####.#..#.##.#.#.##..#..##.#.#.#..####....####.#..#.##..######.....##.#######...#.#.##.#####..#.#.######....#.###.#.##.....#####..#..##.##...#.#..#..##.###...#.####......##.######...#.###.#.#..#.#.#...#.#.###.#.#...#.#..##......##.#..########...#..##..####.##.#####...##....##.##.#..#.###..####.##.#.####.#..#.#.#.##.#.##........#####.#.#
##.##.##..###.####.#.#.###.#.#.#...#.###.#..##..#.#....#.#.####.###.#.......##.#.##.#.###..#.##...##....#.#.#.###...#..#.#.#.#.#....###.##.##...#####..##..#####.##...##..###..#.##...#..##...##.#.....#######..#####...##.##.#....##.###.###..#.#....##.####..####....##.#.#...##.#..#.#.##.#...#.##.###....###.....#.######.....#.###......##.##.#.###...##.##.#..##.##.##.##.#.#.....###........##.....####.##..#####.#.##..#.##.#.######.######..#.#.#.#.##..####..##..##....#.##.##...#####....#.#####...###......#.##.#.#..#.###.##........#####....###.#.##..####.#.#.##.###..####.#..##..###.###..##.####.#...#.#.#.##.#.#.#######.......#...##..#.######..##.##..##.###...##..###.#.#........#####.####..####.###.##..##..##.#.#.##.#.##...#.##....##.###.####......#
#...#..##.#.#.#.##...#.#.....#.###.#.##..##.#..#######......##...#####.####.............##.#.####..####.#...#.#.#.###.##.#.....####.#.#.##..######.#..##..##.#.#.####.###.#.##....#.#...##..###..##.#####.#.#..##..####..#.#..####.##.#.#...##.#.##.#.#..#.###.####.####......#..#.##.#.#.##.###....#.#.####...#########......###...#####.##.#........###.##.....#.###.##.##.##.#.####.##.####.###.######.#.#...##..#.#..#.###.#.##.#.#......#.#####...#.#.#..##..#.##.##.##..####.#..##.#....##.####.#.....####..##.#....######.#.##...###.###.##.###.####.#....##..#.#.....#....##..#...##..##.#.....#.##..#.#..###...#..........#.##..#####.#.###.###......#.##.#.....###.#...####.###..#.#.#########.#...#.##..##...##.#..####.........#.#.####...####.##..#.####.######.#
###.#.##......#..###.#...#.#...#.#...#..###.##..##.########.###.##..####....#########.####.#..#.##.#....##.##.#...#.#.##.#####.#.#......##.##......######..#.#.#...#........##.########..##..##.##....##....##.###.#..##.#.#.##.....#.#.#.#.#..#..###.#.##..#..........#########.#.#..#.#..#.######.#.#.##.#.###.#.#.....#.####...###.######.#######.##.#..#####.#.#.#.#.....##.#.#....##...#####....##.....#.#####...##...#.#....######.###...#.#.###.#...##..##.#..#..#.###.#.##.##.####.#####.#.##.#####.##...#####.#####.#......##.##.####..........##..####.##.##.##.##...######.##.###.###.###.###..##.#...##.###.#.###.####.#.##.##.##..#.#.......######.##.#.#####...###..#.#.#.##.#..........#..#.###.#..###.###..##.#.#####.######....#.#.###.#..##.##..##..#..##..#
#.....####.##.##.....##.##.###.#.###.##.##..#..###.#..###....#..#..##.########..#.##...##....##....####....#..###.#.#.##..##.#.#.######.##..######..##.###.#.#.###...######..#.#.#.#.##.####.#..##.########....#.#.##.#..#.#..#####.#...#.####...##......##.#.#####.####..##.##....##.#.#.##...##........#.#.#.#...#####.#..#####...#.#.#....#.#.#.#.#..#.###.#..#.....#.#.#.##...####..###.#.#.####.###.##.....#.#.#..###.....##.##.#.###.###.#.#.......###..##..##.##.#.#.#.#....##...##...##....##.##..#.##.####..####.#..#####.##..#..##.##########.###.##...##.##.#...##.####.......##....#.#...#.#.##..###.##.#.......###..###.#..##.#############..#.#.#.#.......##.###...##.#.#..#...#.#####.##.##.###.##.##...###.##.#.#.##...##....####.#.###.##.##.##.###.##.####.#
#####..#.#.#.....###..#.####.#.#.##......##.##.#.#.##.#.####.##.##.##..###.#.##....##.##..#.######.##.####.##.#........##.........##.#..##.##.#.###.#...#......#.#.###...###.#.#.#.......#.#.##.......##....##.....#..##.#.##...#.....###..#.#.#######.###..#####......#.##...#.##...........#######.###.....#.###.##....##.#.....###.#.####.........##.#.##..##.#.#######.#..##.##.##.##............#.#######.##.####.#.#####.####.....#...##.#.#######.#.##.#..##..##.......##.######.##.#####.####..##.#.##......###.#.#.##......##...##....................#....##...###.....#######..##.#######......##.##.....###.#######.####...##..#.##.#...#.##.##.#.#.##.#.####...####.##.....##.#######.####.##.#.#.#..####..##.##.#.#.#..#..#.#####.#.#...#.##.#.......#.....##..#
#.###.##.######.##...####.#..#.#..######.##.##.#.#.##.#.#.......#.....##.#......##.....##.#..##..#.##.#.....#.###.######..#####.####.##.##.#........#.#...####.#.#.#####.#.#.#.#.#######.#.#..###.################.##.......###.#####...##.#.#..####.#...##..##.###.####.####.#.#..######.##.##..##..#...#.#...#.#.###########.##.##..#.#..#########..#.#.###.........#.####.##...#.#...############...###.#...##.##.#.#.###.#..#######...###.......#...........####..##.#.#.##...#.#...##..##....##..##..#..#.#######..#.#.######.#####....###########.#.###.##.##..#.########.##..##.##.....#.#..##.###.##.######..##....#..#.##.###..##.#.#..###.#.#.....#.#.##.###.####..##...###.###...........#.#.##.#.#...##.##.##...#.#...#####...#.##..#.##.##.#....###.###.#.#####.#
#.#.#.##..#..#...###..###.##.....##.........##.#...##.#.#######.#####.#....########.##.##.######.#.##.#####...#.#......####.#.#..##.....#..########.########...#.###.#.#...#......##..##.#.#.##....#.##.##............#####.###.#######..#.#.##..##..#.####.###.#......#.#.##.#########...####..##############.......#####.#.###...##.....##.....####.#.#..####.##.####..##..###.##...#.#...#.##.####.##.#.###.#.......#.#.#...##.##.####.#...##.##.###.#.#####.#.#..##..#######.##...###..######..##.#..##.##.##.##.##.#.#..##.##...###.#####..#.#..######.########.#.##...#######.##..####.##.##.#..#.#.#....##.#.##..#.##.##.##.#.#.##..#.##.##....##.####.......##..##..###.#.##....##.####.#####..........####.##..###...#.####....###..##.#.##..#.####.#####.#.###.##..#
#......##.##.#####.#.##......#.#..#########.#..###.##.#...##.....###....#.####.##.###..##..##.##.#.##..######...#.######.#......##..###.#.######....##.###.###....##.....#...###.##..##....#..####.#.##.#..##.##.#.#.###.#..#.#.#.....#.##....#.####....##..##....#.####...##.#.......#.#...##.######.#.#.#########.##.......####.###.##########......#...##..###..#..#.####.#....##.######...##.#..#....#..##.###.#.#.....###....##.#.##.########...######.##....##.###..#.#.#...#.#.##..##.#..#.##..##.##.....#..#.#..#.#.##.....###.###.#.##.#.##.#.#.#..###.#....#....###..##...##.##.....#.#..##.#.######..#....##.####..#..#.#....##.#.##..####.##.##.#.#####....####...#.#....##.#...###.##..##.####.#.###.#.##.##...###.#..##.####..##..#.##.##.##......#.....#...##.#
####.###......##......###########...##......##.#.#.#..#.#..#.###...###.#####......####.###..#.#....##.##..#####.#...##.#.######.#####...#.##...####.#........##.########.#.#.#......######.##....#.#....#.############...##.....#####....###.##..#.##.#####.#######..###.####.#######.###.####.#.##........#.###.....##.###.##.#......##..##..#######.###..##..###.#.##..##..###.##....#.####.##.##.####.##..#..#########.###..#####......##.#..###.##.#.#.....##........##.#...#.#.#####.##...##..##.......#.###.##.#.##....#####...#.#.....#....#..#.#...##.#.####.#.####.#.#####.#...##.##.#.#.##.....##..##.####.....#.#.##.##.###.##..#..##.#.....#.##.####.#..####.##.#######.######.##.####.##..##.#####.#.#.##..###.#.#.##.#..##.##..##.#.##.##.###.#####.#####.###..#
#......##.###..######...###.#.#...#..######..#...#.##.####.###.##.##.#####.#.###.##....#.##...####..#..#.##.....#.####.#.#.#.#...#.####.#.#..###..#...#.####.##..##.###..##########...##.#.#..####.#.#.#####.###########.######.###.##.#..##..##.#.#..##.....##.##..##.#..##...###.##.##..#..#.#.###.##.##...#.###.#..###.#..#.###.#.####.#..##.##.##.....##..##.#.#..##..##.#...##.####..###.##.#..####.###.##.#.#.###.#.#.##.##..######.#..##............#.#.##.######.##.##.####..##.#.####.##.#####.#########..#.#.#..##.#.....#...#####.####.##.#.###.##.#..##......##.#.#.##..#.#..#.#....#.#..#####..##...#.####.##.#.##..#.#......##.##..#####......##.#.##.#.##.##.#.##.##..#.#.#.....##...##.#...#.##...#.###.#.....#.#..##.......##.......##...#.#.#.#.#.###.#.##.#
#.####.####.#.##...####.....#.###.####.##.##.###.#.##..##..##...#.##..###..#..##.#####....###..####.##.#.######.#..##..#.#.#.###.#..##......##.##.########......##..#.#.#####.###.###.#......####....###.#....##.#.#.##.........#.#.#####..#.##..#.#.#####.####..##.##.#.##..###......#..##.##.#.#.#########.....####.##..##.......###.#..##.##....######..##.##.#...##..##..###.#....##.##...##.##.#........##.#....#......#...##.#.#.#..#.#############.##.###..#.......#.##.#.#..##......##..#..##.....#.##..##.#.#...###.#####.#######....#.#.##.#.#.#.##.#.##..#.##..#...#.##.#####.####.###.##..##...#####.....##.##.#..##.#.#.####.#..###.#.####.#####..#.##.#..#.##.#.##.##.##.#.#.#.#..##.###.#.###..###.#..##.###.###.##.#..#.#######.##.###..###.#.........#.#.##.#
###.#...##..#..###.#..#####...#....##.....##.###.#.#..####.####.#.###..#..#####...##.####..###...##.#..#..##....#.####.......##..#.#####.#####.#...#.#.#...####..##.#.####.#............####..#.##.#..##.####..#.#....###.##.##.....#...##....##.#.#.##.....##..##........#.##.######.##.##....#...##..###.#####.###..###....##.##..##.#.##...####........##..#....#####..##...#.#.####...###.##.#....######.#..####...#.##...###..#.#.##.#..#.##..##...##############.#.##.##.#.##.##.########...######.##.##.##......###.####.#...####.##.#............#.##.#.#..######...###....#.#.#.##........#.##..###.##..#####...#.#.##..#.###.#....##.#...#.##..#.###.#......##.##.#.##..#.##.#...######...#.....##.##.#.#.##..#....##....##.###.###....###.##..##.#.#########.#....#
#.....#..##.#.##.#...##..####.##.######.#....#.#.#.#.##.#...#.#....###.##..##...#..#.#.##.##.##.##..##.#.######....#.##.##.#.#..##.##.##...##..###...#.#########.#..#.##...###.#.##.#.####...##.##.#####.##.##.#.####..############.#.#######.##.....######.###..#####.####..#.#..#...#...###.##.#####..#.....#....##.#.###.##..#..###.#..#.#..#.########..##.###.###.###.####.......##.####...#.######....#.#.###.###.###..#.#.##.#.#.#..#.##..##..##.##..###.........#.##.#....##.#.....#######..##.....#.##....######....##....#.#..#.####.#.########.#.##.#.#.##.#.##.#..#####.#.#.#.#########....##.#.#.#..##..#..#.#...#..##..##.##.####.##.##.##.##..##.###.####.......##.##.##...###..##..#...#####...#.#.#..##.##.#####.#..#..#..#.####..#...##..#.#.#..##.#...#.####
########...........#..#.##.....#.#.#....##.#..........#.###.#.####.#...#..###.####...#.#..##.##.###....#.########.##.#######.##.#..##.#..#####.#...#....##.......##.#.#..#...###########.###.#...#..##....#.......####..##.#........#..##.....##.#.#..##.##..##.##.##.....##...##.###.##.##...#......##.##.##.##.#......##...#####.##....#####......#.####.....##...#.#.#.#..###.#.####.##.###.#.##..#####.....#...#######.##..........##....##.###.#...##.#...#########....#.####....#####.##.##.######.##.##.#.#####.###.######.####.#..########..##...#.##.#.........######.##..#.#.#..##.##.#####..#.#.#.##..##.##.#####...###.##.....##...##.##....###.##..##....#####.#..#..#..##.#####..##.###.......#...#.#.##..#..##.#####.#.##.##.#.###.#.###..##.....###...###.##.#
#.##.....####.###.###....#####.#...###.#############.##.##......##.#.#.#.##.####.###.#.##.#..##.#.####.#..##.......#.#.#.##...#.#.###.##...#.#.########..##.####........######.....##..........###.######.#######.#.###..#.####.###.##..#####.#######.......##..##..##.####..###...#..#...##.##.####.#...#.#..##.######.######.#.#..##.#...#.##.#.#......#####.##.###.#...#.###..####...##........##..########.###.#.###.#####.##.####.#####........##.##..######..#.##..##....##..######.#..#.....#.#.........####..#.##...##.##.##.....##..#.#.##..###.#....#.##########..##.###.....#.##..##..###..##.#.#.###..#.#...##...###....#####..###.##.#####..##.##.###.####.######.#.##.##........#######.#.#.###.#.#.#..##.##.#..#.#.#...##.##.#..##.#...##.##.##.##.#.#####..#.#
#.#..#.#.##....####.####.##......#..#####......#.....##..######....###.#.##..##...........##.##.#...#....########.##......#.#...#.#...##.###.#...##.####.#####.########..###.#####..########.#..##..##.#...####...#.#.##...#.####....##..#.#...####.##.##.#####.###.##.##.##..####.##.##.###..#..#.#####.####..###.......#.##..#.##.######.#.#######.#.#.....#.##.#.#.###...#.##.##.###.#########....##...#.....##........#.####..#.....##.##.#.###.....##...##.##....######.#####......#.##.#####...#.###.######.##.#..##.##..#...##.##..##.#.#..#.##...####....#.#.......##..#.#####.#..##.#..##...##..#.#.#.#.##.#.#..###...###.###....##.#.##.#.#.##.....#.##...###.#.##.#.#..#.#..######....##...###########.#.##...#.#.##.#.#.###..#..##.##...####.....####.#.#.#.#.##.#
#.####.#.####.##......#..##.#.#####.#.#.###.##...###..##.##..#####..##.#....##..#####.###.#..##.###.##.#####.#.#..#######...###...###..#.###...###.....#..##...########.##.#..#####.#........##..##..#.##.##..###.#.#.####.#.#.#..##.#..##.##.##.#..####.....##..#......#..#.##.....#......##.#.##..##....#.##.#########...###......#.#....#..##.#.###.###.#...##.#.#.##..###....##.#.#...#.##.###.######.#####..########.#.#.#########.##..#######.##.#####.#...###.##....#.##.#..######.##.##....#####...##.#...##.#.###..##.##.#######.#....##....###..#####.##...####.####.....##..##.##.#.#####.###...#.#.#.##...#.##.#.###.#.#.###.###........#..####.##.#..###.....#....#.##.#.#####.#########..#.#..##.#..#.###.##.#.##.......##.##.##..##.##..##.####..#.....#.#..#.#
#..#####.#....#######.##.######.#.#.#....#######.####..#.##.##..#..##....######.###...##....##....#.##.#.##..#.##...##.##.#######.####.#.#.###.#.#####.##.#..#.#.........#.##.#..##.#####.######.##.##.##.##.##.......#.#....#.####..##..#..#.##...##.#..#######.#.#.##...##.####.#...###.##..#..##.#####......#..##.#.#.###...#.##.#.####.#.###.#.#####...#.#.##...#..##.#.###.##..#.###.#.#...#...#.#.....####....###...#.#..#..#####..##..#.##.####..##.....#.##...####...##.##...###..#...####...##..####...####...##..###.#....##.##.####..###.##.#.##.#.#.##.###..###..###.#..##....##...##.....####.#.#.#.##.######.#.##..#.#.#.....##.#####.#.##....##...##.#####.##.###.#....#......##..##...##...###...##..#.....#.###.#.####..#..##.###.#..##.....##.#.#####.#.##.#
##.#.###.##.#..###........##.##.....##.###.#.#####..##.#.#...##...######..##..###...#####.#..####.........#.##.####.##..#####.......#..#.#.#.#.....#.#.##.####.###.##.##.#....#.##..##..####..##..#.##.#..#..########.#.##.#....####..##.##....###.#..##.###.##..#.#####.###....###.####...##.#.###.#.########.#.##......#.#######....##...#.##......##..#####.####.#.##.....##..##...###.....#...###.#####.#.#####.#.###...##...##.....####.#.##.###..####.#.##....#..#.###.#...##.##.##.###..#.#.#####.##.##.##..#.#####.##....##.#.....#.###..##.#....#.......#.....###..##.####..##.######.#####.##.#..#.#...##.#.##.#....##.#...##.#######.....#.#..#####.###...#.##..#.###.#.##.#.######..#####..#.###.##.####...#####...###....##.#.###.##....####.#####.#.###.#......#
#..#.#.#########.##.#####.##....###.##.#.#.#.#.####.#....###..##.###..###..##.###.#..##.####.#.######.###...##..##.....###..#######...##.#.#.###.#......#.###..#########.####.#.###.##.###.##.##.##.##.##.##..##.##.....#######...###....##.####.#.#.##..#.#..##.###..##.#.#.#########...#......#.#.#.#........#.#######.#..#.#.####.##..#...#..#.##..#####.#...##.....##.####..###.###.########.##....##.....#.#...#.#.##.#####.######.##...#.##.....##..########.###.#.##..#.####.##.##.#...##.#..##.#....##..##.#.##.##.#..#########.#.#.#...##....##.#.#####.#.######..##....###.##.##.##...##...##.##.#.##.###...##...#####.##.##....##..#####.#.##.#.##..##..###..##.#.......##.....##.##..##.##.#.#.#....##.#.#..#.####..#..####..#.##..####.####..##.#..#.#.#.#.##.###
##.#.#..##.#.#......#......######............#........##..##.##......##...###.#.#######.#.......##.########..##.#..#.###.#.##.##.####.##......######.##...#.##.#.....................#.##...#..#.#..##.##.###.##.######.#.#.#.###..###.#....##.#...#.###.#.#.##..####..#.#.#.#..#.##.#.#.#.##.###.....##.#.###....##.#.#.#.##...#.##.#######.########...#.#.###....###.#...#.#.##.#.##..##.....#..##.######.#.#.###.#.#.##.#.##.....###.####.#..#####..##.##.#...###.#.#..##.#.###.....##.###.#..#.###...#.####..#.#.##.#..##.#.#..##.###.#.###..#######.####........##.##..##.###.#.##..#.###.#####.##..#.#.##.##..#..###..#..#.#...##.###..##.............##.#..##.#.##..##.#.##.##.#.###..##.##...........##..#.####....#.##.##.#..##.#..##..#.#.#.#..##..##.#.#.#.#.####.#
##.#.#.##..#...####.####.#..##....##########.##.#.#######.##.#####.#..###.##..#.##.##.....####.##....##.####.##.##.#.#...#.#.......#..####.####.##.######.#.#..#.####.##.##.#.#.####....###.##.#.#.###.##.#.#..#.#.#..#.#.#...#.#.##.######.##.###....##...#.##.##.###...#.#.#.##.#..#.######...###.#..#####.##.#......#.#.####.#.#...##..#...##.##.###......##.##.#.....###....#.#.#..##..###...##..#.##.###.#.#.......#..#..#####.#....#.#.#.##.#.##....##.###.##....##..#.#...#.#.#..#.#...##.....###.###.#..##.#.#..##.#......##..##......##.........###..#.#.#.###..##.##.##....##.##..#..#.##...##...#.##....#####.##...##.##.##..#.##.######.#.#######....###.#..##..###.#####.####..###.########.#######.#.##.#.####.#...#.#.##....##..##.......####.#..#.........##.#
#....#..##.######.###.#####.##.##.#........#.######....##.##..#######......##.#.#..########....#..####..#.##.##..#.###.#.#.#.##.##.##.#.....##.....##.........####################.###.##.#.##.....#.#.##.#.##.....##.#.#.#.#......#.###..#.##...##.#.#..###.#..##.#.###.#.#.#.##.##.####.#...###.#.#####.#...#.#.#.##.#...#.#......#####.###....##.#.#.#.##....#####.#.##.####.#.#...###.##.###.###.#.##..#....#.#.###.##.#.##.....###.##.#...##.#..#.#####.#...#####.#..##...########...###.#####.##.#..#..##.#....#.###...####..##.#######.###.##.#.#.....####.###.#.##..#...####.....##.##.#.#..######...##.##..###..#..###..##.#..##.....##..###.##.#.#####..#..#.###.##....##.###..##.#.#...##..#..#.#.#####.##....#.#.###...#..##.####.###.#######.#....##.#########..#
####...##....##.#.##.........########.####.#.#.#..####.##.##.##...#.#####.###.#.#.##.##..#####.##..#.##.#.#.....##...###.#.#######.#..#####.####.#######.####.#.#...##.##.##.####.......#.#.######.#.#.##....#####......#.#.##.###.#.#.##.#..##.#####.##..##.#.##.....#..#.#.#.##.#..###....###.#....##.#.###.########.###.#.######.#.##..#.####.##.#.###########.#.#.#.##.##.#.#.#.###.###....#..##.#..##...#.#######........#####..........#..#.##...#.##..###.#.###.##..###..#.#.###.####...##...##.#.##.##..##.###.#.##.##.#####....#...#.#...##.####.####.#...##.#..##.##.##.####.###..##.#.##.#.##...###..#####.##.##.#.##....##..#.###.###.....#......###.##.##.##...###.##...###.##.....#####.##.#.#..#.##..###.##...#####.#.##..#.#..#....######.#.####.....#.#.###.#
#.####..####.#....###.###.##..#.###.####.........##.##.#.....####.............#.#.##..#.##.....#..##.##.#.####.###.####..#..##.#.....###..#.#.#..##.##...#....#.###....#......#...###.#.....#.#....#.#.#####.##.#..####.#.#######....#.#....##..##.#..###....#.######.##.#.#.#..#.##...####.###.####..#...##...#.#.#..........#.###.#.###.....#..##....##.............#.##.#..#.........######.#.##..##.######.#.#.#.###.##.#..#.######.###.###.#..###.#..##.#.#.#.#......##...##.#..#..#.#..######.##...#...##....#...#.#...#..##.####.###...#.#.##.##.#.####.###.##.#.##...#.#...#.#.####.##.#.#....#..######....##.##.#.....##.####.##...###.####.##.######.......#..##.###.....#...#....#####.##..##.#.#.##.#..####.###.##.###......##.##.#.##.#....#.#......##.##.#..#..#
#......##.#..####.#.#########.#.#...##...#######....##...#.#...###.#####.####......##...###.##...###..#........#.#..##..##.###.#####.#.##.#.#.##.#...########.#.######.###.##.#.#.#...#####.#.####.#.#..###...#.####.##.#..####.####.....##....##..##..####.##..###...#..#.#.##....#.###.#..#.....###...######.#.....########.#.#...#...#####.##..###.######.#.#.######..#.##.##.########.........##.##..##.#..#.#.#.#.#.#..##...#....#######.....###....##......#.#####.###.###..##.##.#.##...##.#....###.#######...###.###...##...##..#.###.########....#........##.#.##.###.###.#...#.#..##...##.#...####....####...#.##.##.##..##.....####....##.##.#.#..###.#####.##..##..#####.###.####..##....###..........##....#.#.##.#.###.##..........#...#.##.##.#.####.#..#.##.##
######.##.##..###...###.##........#....#.#....##.##..#.#####.###.####..###..####.#####.##.######.#.##.####.###.#.#.####..#.#...#........#.#...#....###....#.#.#...##.#.###.#....#.###.#..........#.#.#.##.###....##..#..##..##....###.########.###.###.#.##.##.##.###.#.##....####....#..##.#####.....#..##.##.#.##.####.##.#.#.###.#.###........####.####.#.#####...#..##..#.##....###.########.##...#.##....##.#...#.#.#.#####.##.####...######.#.#.##########....##.#.#.#.#.#.##..#..#.##.###..#.#.####..##.....#####..#..#####.####.#..##..##..######.##.#####..#.#.##..##..##.##.##.##....########..#.####..#.###....###.....##..###..##..##.#.........##.....##...##.###...#######..#.#.######.#.####.###########.#.#..#.#.###.#..###.###.########..#..#####..##.#.##..#
#......##.##.##.###.#.#.###.#.###############.######.####.#..#.#.##.##...##.#.#..#.#.#.##.##.#.....##...#####..#....##..##.###.########.#.###...##.######.......####.#.#.######.#.#...#.#.#.####...#...#..######..##.##.##.######.#.###.............##.#..#.##..#.#.#....#.##..##..##...##..#.######.###.##.##.###..##..........#.#.#.#.########.##.#..##..####.####.##..##.#.##.####.#..##.##....###.#..####.##...#...#.###........##.###..............#.#..######.#......#.#.#..##.##.#.##.#.##.#.###..##..#####.....##.##.##..#.#.#..##.##.####...#########.....##....#.####.##.#......####.#.####.##.#.#.##.##...#.##.####.######.##########..###.###########.##..####.#.#.###..##.##.#.#.#.#.##...#.##.#....##.##..#.##.#.#...###.###..###.#.#...###...####.####....##.##
##.###.##.##.#..#.#......#######.##.....#.#...#.#.#...#.#.##.#.#.##.#..###..#.##.#......#.#..###.######..##.##.###.####.#..##.............#.##.#####.#.###.##.#.#.#....#.##..########.#######.####.##.##.##..####........#...#......##############.##..##.#..##...#...########.###.###.####.#.#.#.####...##....##..#######.####.#.#......####..#.##.#.####..##....#..#..##..#.##.#.#..#.##...####.#.#.#.##.#..######.#######.#.####.##.....##.##.#.###.##.##.#..#.#.##.#.#...#.#.##...#........##....##.##..##.....######.#...##.#.....##..##.#.#..###..###.######..###.##..#.#.#....#.####.......#....#.#.#.....#.#.#.####.#..##.##....##..#.###......##..##.##...##.#.#....#...#.###..........#..##.##.##...#.##..###...##.....#######.##.#.###...###...###......#####.##..#
####...##.##.##.#.######..##.#....##.##.....#...#.###.#.#.........#.##...##.#....#.##.#.#.#.##...##.##..##.....##...##..##.######.#####.#......#..##.#..#######.#.##.#...##.##.#.#....##.##.....##.##..#..##.#.######.##.###.###.####.#.#.##.......#..###.#.#####...####.##.#..#.###.#.####.#.#.#.#.####.#####.######......#......###.####..##....#.#.##.#.######.##...####........##....##.##.##.#.#.#..#.##..#..##.##.##.######....##.#.#####..###......#..##........#.#.#.....####.#####.##.#####..#.##.#######...##.#.###....#####.###.#....##.#.#.##.#..#..##.##.#..##...#.#.####..#########.##.#...#...#######.#..##..##.....#.######.#.#.######....###..#.####...###.##.###.##..###.#.####.###.##..#.#.#####.#...###..##.##...##..#.....###.##.###.#.#.######..#.....##
#.####..........#.##...##....##.#..############.#.#.#.#.#########.#..#.####.####.######.#.#..###.##....#######.#..#####.....########....###.##...##..#.##.##......######..#..#.#.#######..#.##.##...##...##......######...##.##...##....#....#####.#.##...#...###.#....#.##...##..##.#..##......#.#.#.##..##.#.#.##.#############.##..##.##..#.##.#.#.##.#...##.#..###..##..##.#.######.##..#..#..#.#.#.##.###.#.##...#.##.##.#.###.#######.##..########.##.######.#.#.#########..##...##.####...#...##.##.##.#.#..###.....##.#####.#..#.#.###.##..#.#.##.##.##.......#.##..#.#......####.##.......#####...#.....##....####.###.##....##.##.#.#.##...###.##.##.#..#.#.###...#...#...##.#.#####....##...##...####.##.###.####.#######..##...#.###.#.##.....#.#...##.##.####.###
#..####.#######....###.#####.####.###.##.###.#..........##.##.##..#.##.##...##.#..#.##......###..#####..##..#..##.##.##.##.##...##...##.########..##...#...######.#.#.###.##.#.#...###.##.####.#..#....####.##.#.....####.#..####.#####.#######......##.#...###.#.######.####..##.##.#.##..####.#.#.#.#..##....#.#..##....###.##..###..#.###.###.........#.###..##.#.#.#######.#.####...###.##.##.......#..#......#.#...##..#...###.#..#.#...#####.#.###.#....##.########.##.....##..#.##.##.###.#.###..##.#..#.##..##.#.###..#.##..##......#..###...#.#...#.########......##.#.#.#####...########.##..##.##########.####.#..####..##..#.#..#...####.#.#.#..##.#.##.#.#.###...###.###..#..#.#####..##.###.####...##.....#.#...##.##..####.##.###....##.####...###..#...##..#.#
##.#..###.....####..##...###.#.##.##...#.......##.#.#.#..#.#...##.#.#...###.##.#.##.######.##.##.#..###..##...###.##.####...##.##########......#.#####.##.###...#.#....##.#..#.#.###...#...#.#...##.#.###.######.#.#....#.#.##.#..#.#.#.#.......##.########.#.#....##......###.#...#.#.###.###......#.#.######.#.##.###.#..#...##.....##..##...#######.#.....##.........##.#...###.#..#..#...#..####.##.##.####.######.####.##.##...#.##.###..##...#.....#.####...##.......#####.#..#####..#.........##.#....##..##.##.####..##..##..######.#.##.##.##.#.#...#.##...###.#.#######.....###..##.##.#.###..#...####.#....#.#.##.#.#..######.##.#.###.#..#.#...##....#..#.#.#...#.###...##...##..#.#..##...#...#.###..#####.#.#.####..##.#.....###.###.##.......###.##.##.###.##.#
#..#.######.#..##..#####.#.........###.####.############...###.##.#...###..............#.#.##......##...#####.##.......##.#..#.##.##...##.####...##.........###.#.####....##...#...###...#...#.######...#..#.##..####.#......#...##.#...#####.#.#...#.#.....#.####..#####.##.#...###.#..####.#.#.##.#.#.##.##........#####.###.###.##..#.##..######....#####.########.#....###..#..#####.###...##.#####.#.....#....##..#.#..#.....#...##..#..#####.#####.#..#####.#######.##.....#.##.#.##...#####.####.#.#####.##......##..##..####.###.........##....#####.#..###.#.###....#.#..######..##.......#.##...###..#.##.#.#.#.##...##.#.###........##...##.#.###..#.##.##.#...###.#.#.###..#.##.##.#.#####.#.#.......##..........#.#.##..#####..##.#.#..#.#########.##....#.#....#
##...##...####.###.#.##..#######.#.#.#.#.#####.....#.#.###..........#...###.##.#.#.#.#.....###.#.#.####.#.##...#####.#######.#.##.####..########..###.##.#.##.#.#.#.#####..#.###.###.#######.#####.#..###.##.######.########.###..#.###.##.########.#.#####.#.#.###..##....#.###..##.##...##.######.#.#....##.##.#.#...#.#.....#.#####....##..##..####.#........##....####..###...##.##..#####.....##.#.#####.#.######.#.##.#.#.#.###..##.#.###.#.....#..##.#.#.#.#.#.....######.#.##...###.###.#..###.....##.#..##.#######..#.##.#..#.######.#.####.#..##...#.##.....##..####.##......##..#.#.###...####...#.##.#..###.#.####.##.....#######.#####.##.....####.##.##.#.#######.#.###.#####.##.#.#####.#.####.#.###.#.##.##.##.#..##.##..##........##......##....##.#.#...####
##.#####.##..#.#.#....#.##....##.#...#.#.#.#.#####.....#.#.#.#####.###########.###.####.##...#.###....#.#.#..###.##....##......##...###.#....#...####.####.##.#...#..##.##.#.##..##..#..##.#..##...##.##..#...###....##........#.##.#.#.##.#.#.#.#..#..##...#.#...##..##.#.#..##.##...#.####..#.#.#...#.##############...#####.#.##.##.######....###...##.####.##..#####...##.#.####.##.##..##.###.......#.##...##..##...##.##########.#....##..#####.##.#....#.#...#####..##......##.###.###.....##.###.###..#.##..#.#...##....#.##.#.##.....###..####..###.#..#.#.#.##.##.##.#..########.#########.#..##.##....##.##.....##..##.###..###.....##...####.###.#...#.#.....##.##.........##.#.#.....##.#.#...######.#########.##.##.#...#.####.##.####..#.########.####.##.#####
#..#.#.#.###.....####....####.######...#.#.#..##...#.#.....####....#.####.##.#############.##########.#.#.##.##...##.#########....###.#.#.##.###....#.#.........#...###.......##..##.##.#..##..#.#..#.###.#.###.##.#....#.####...##.#....#.#.....#.##.#####...###.###..###.#.##...###...#..##.#.....###..#.###.###..##.#...###.#..#.#...##..##.#...##.######.#..######.###.##.#..##......#.###########.#......###..##..#..#.##.#.##..#.####..##.#.#......#.##.#.###..##.#.####.###.##..#..##..#.#..#..##.#.##.#..##...#.###..####.#.....#####..##.##..##.##..##.#####.#...#....##.#.##.#.#.##.#........##..#..####...#####..##.#....####.#####..###.#.#..###.#.#.#.####.###..###.##.#.###.#.##.##.##.#.#.###.#.#..##.#..#....#..#.##.##..##...###....##..###.###.#.#..##.#...#
##...#.#..####.#..#####.##......##.###.#.#.##.#########.##.##.####.#.#..#.#...##..##.#.#.#.#..##.##.#...#.##.#..#.##.#.##.###..####.#.#.###....##.#########.#######...#######..#.##..#..##.###.####...#.#.#..##.###############.###.##.#...#####.#.#...##.##.##.....##..##.#..##.######.#.##..##.##..##.##..#..#.##....#.#.....#.##.#.#####..#.########.##.....##.##.#.#...##.#.########....#.##.##.#########.#.##.##.###......#..##...#.##.##..#.######.####.#.#.##.#..#.#######...#.##.######.##.#.##....#....####.##..#..##..#.###.#..#.##.##...##....###.##..#.##.##.##.####.....#.#.#.##.####.###..##...###.#.###.#.#.##....##..##...##.##.##..#.##.#.#.###.#.#.#..#.#.##.#.######.#.#.##..####...#.....#.#.##..##.#.##...##.##.##.####.####.########.#.#.....#.##..#.###
####.....##....##.#.#...###.#.#....#...#.#.#..#.##..#...#..##......#.#.##.###..##.#..#.....#.##.....###........####....##.#.##.##.....#..#####.##..#.#.##...#.......#.########.#..##.#.###.#....#.###.#...#.##..#.####.##.......#.#.######.##........#.#...#.####.####.##....##..##.....#..##..####.###.##.##.##..###.######.#.........#..##.#.###.#.#..###.##.......#.###..#....##.#..###.##.#..#...##.#.#.#.......###.###.##...#####.#.#...##...........#.#.#...##.##....##.#.###........##...#.......####.#.##..#..##...##..##.######.#.##.##.#######.....##.##.#.....##..#.##.####.#.#.##.##.######.##.###...#..##...#..###.########.##..#...##...##...#.##..#.#.##.#.#..#.#...#.##.#.#.###..#.#.###.#####.#..##.#..###..###......#....#.##.#.##.#####.#.#####....##...#.#
#.######..#######...###.....######.###...#.##....##.#####.########.#.#.##..###.##.##.#####.#.######.#.###.####.#.###.####.#.##..#####.#.##...#.#..##....#.#.#########........#.#.##....#.#...##.#.##....###..##....#.#..#######......###.#.#########.#####.#..#....##..#..######..#####...##..####..##..##..#.##.##.###.#.######.####.##.##....#.#.#.##...##########.#.#.##...####....##.#.##.##...####.#.....#.#.####......###.###.#......######.#.#####.......#.....##.####...##..########..#.#.#.###.#....#####...##..#####.##...###..........#.#..##.#.#.##....#####.##.##.##.####...#..#.##..##.##.#...#..###.#####.##.#......###....##.###....####.###..##.....##...##.#...#....#.#.#..#..##.#.##.....##.#.##..##..###...###.##.#.####.##.#.#...#..#.#.#.#.#.#######...#
#..##.##.##.###...#.....##.#####.......#......#.##...#.####.#...........#.##.#.##.#..##.#.....###......#####...#..#..###..#.##.##........###.....######.#####.##......######...#..####.#.#####.......##.##..######.#...##.......####........##.#...#..##.#.##.#.##.###.#.##..##..####...#####.##...###.####...##.#..##.....########.#.....####.#.#.#.##.#.#...#.#.##.#......#..#.####.##....#..###.##...#####.######.######.#...#...######.##...#####...#######.###.#.......###.###......############.#.#.##...#.###..##..##....###.....##.#.#.###...##..###..####.##.##..#.#..##....###...##..##....##...#.#.##.#...##.....##.#.###.####..#.###.##..##....#.######.##..####.#.######.#.....##.###.#..##.#.###.#.###.###...#.#######.....###.##.#.#.###.##.#.#.#......#..##.##
##........#...##.##.#.#.##.#..#..#.#.#.##.#####..###...#.##.###.##.#.##...#.....#.##....####.##.######.#.#.###.#.##.##.#.##.##..##.#####.#...#.###.##....#.#..#########....###.#.##.#.....#########.##...##.#.#....###..####.############.#....###.##.#..#.##.#.#......#..##..##..#.###.##..#..###.#.#.##.###.#..#.#######.#.#.#....##.####.#.........#.#####.#...##.#########....##...####.##.###.####...##...#.#.....#.######...###.###...###.##.####.##....###.######.######.#...###.##..##.#.#.##.#...##.###.#.#.###.######..#####.#######.#####.########.#.##.##.###...#.##..##...###.###.###.#..###.###..#.#.###..###....####..##.##.....####.###.####..##....##.##.#....##.#########..#...#.#.###.###.#.#.#.#.#.#.#.#..##.##..#####.#..#.#.#..##.##.#...#.#.####.###..#
#..######.#.#.....###########...######.####.####.##..#......#.###########.#####.#..####......##....#..............#.##.#.#...##.####.....#####.###..####.#.##..###..##..##..#....##.#####.....##....####.#..#.####.....##.#..###...#.#.#######.#......##...##.########.##..#.##..##.##...##...##.#...#.#..#.#...##..#.#..........##.....##....##.###.##..##.#.###....##......###.##..###.#...#.#.#..##..#####.##.###.###.#.#....####....##.##.#.##.#.##..#.##.###.##.##...#.#.#.###.#.####.##......#....######.#......#.....###.##..####..#.#..#.##.....#........#......###....##.######....##.#.###.##....#..##.#.#.####.###.###.##.#..###.#.##.....#...#.#.######.##.##...#.##.....##...##.#.###...##...##.#.#.#.#...###.#.##...##...#.#.##.......###....#.#####...##.##..##
#####..##.#####.#########.#.##.##...####.#........#########....#.##.#..##.#.##..#.##....####..####.####.##.#####.##.##.#.###.#...#######.##.#......##.#.....##.#.##....####.##.#.##...##..##.######.#......##.#.######.##.####.###......##.....######.###.##...##....#.###.#..#.##...##.#####.#..###...##...#.#####.#.#########.#######....##.##.##...#.##..#.#.####.##.####.....##.##...###.....#.##..###.#..##..##..##...####..#.##.#..#.##.#.##.#.#..####.........###.##.#.#.##.....#.#..######.#.#####.###.######...#####....##.#..##.#.##....#.###.####.#.#...#.#.##.#.#.###...##.####....#.##...####...##..#....##..##......##...##.###.######.#.###....##....#.....#####..#######.###.#.#.##.###.###..#...#.###.##..#..##.##..###.#.##.###.#...##.###.#.##..#.##.###..#
#.#.##..#..####.###.#.#.#.#.#####.#...#....#.#.##...##..######.#....##....#.###.#.####.###.#.##.....##########....#.##.#..##.#.###.##.#.......##.####.#####......########.#....#..###.##.##.......########.#..#.#...##.##..###.########.####.#...#....#...##.#######....##...##..###....#.##..##..##.######.#..#.#..#.#...#.#####.#.....#####.#######....##.#.....#...##########.#..####...##.##.#..##.##..##....####..##.###.##....####......#.##...##.#.#..##.#.##.....##.....####.###.#.##.##.#...#..#..#.#.#.#....#.##....####..#.##.......########.#..#.#.#.#.#.#.##...####..####.#.###.###..###.#.##.#####...######..##.#####..###...#...##....#.##..##.#####.##.####.##..###..##..##..#...#..#...####.###.#.#.#..##.#.##...##..##.#.##..#########.##..#.#..####..#.##.#
#...###.##..#.###.......#.#.#.#.#####.#############.##.##.#....##.#######.#.#......#.###.#.#..####.##.##.#...###.##.#....##..#.#.#.#....#####..#####...##...####....###...##.#.##.#.#.####..##.##.###.#....#.##.###.#...#.##.#...........#.#.###.#.##...#..#..#.#.###.#.#..###..##.##.#....##.#..###..##.##.##.#.##.#.###.#.#..#....###.#...###.#..####.###.#####.#.####...##......##.####..#.#..#.##..###.####.##..##.##.##...#.####..######.#..###.##.#...###.#####.##.######.#.##.##....##.##.###.#.##.##.#.#.###.##.#####.#..##....###.###.##.###.#...############.####..#.#.##..........#.##.......##...#.#.###.##.##.##..#..##.#.###.##.######.#.##.#####.#...#..........##.#.##..####.#.###.##.###.#...##.#.#.##.#..#..###....##....##.##.#.#.##...##...##..##..##.##.#
###.#...###.#..########.#.#.#...##........#..##.#......##.####.......##...#.#####.##..#......##.......##.###.#....#.####.##.##.#.#.###.#######..##.##.##..####.####.#.###.####.#....#.#.#########.#.#.####...##.#.#.###...#..###.##.####.....#...#####.###.#.##.#...###.#.#####.##.####.####..##.#.#.##..#..##...##.#..#....##.######...###.###.##......#.#..####.#.##.###.#######.##..#.#.#####.#..##..##.........##......###.#..#.##.#......##..#..#..#.####..##....##..#...........###.##..##.....#.##.##.#.#.##...###.##..#.#####.##.###...##.#.#.###..##.#####.#...#.#.##.#.###########....#.#.###..##.##.#.#...##.##.##.##.##..#.##..##..##......##.#..##.###.#.########.......##.#.#..#..#...#.......###....#.#..#.##.##.##.#######...........##.###..#####..##.#..##.#
###.###..##.#.##.#..##......###..########...##....##.#..#.#.########.##.#.#..##.#..##.###.##..###.###..........##....#.#.#...#.#.#.#...#.....#.###.....#####........#..##..########...#...##.##.....#.#..###....#.#.#.###.##..##..##############.###.####....##.###.##..#.##..#.#...##..#.#..##..#.#..##.##.##.####.##.#.##....#..####.###....#....#.##.#...##....#.#..##...#.......##...#..##.....###.########.#########.###..##...##.##.###.###.##...#####.##.###.#####.####.#####.####..##.######...#...#.#...###.###..###...#.##..##.###.#....#.#.##..###..#.#..###.....#.....#.#......#.#.#########.##.##...#.####.#...#.##..##.#..##..##.#####.#....#.###..##.#........######.##..#.##.#.##.#.#.####.#######...##.#..#.##..#..#.##...############.#.##.#..#..##..#.###.#
#...#.##....#.##.##..######..#..##......##.##..##.#####...#.#.##.....####.#.##..##.#..#.###..##...#######.##.#######.#...##.##.#...##.####.#...#.#####..##...##.###.#.##..##.##.....#...#.#...#####.#...##.####.....#.#.#.#..######.........##.#.#.#.##.###.##.......##.#.##.##.##.####.#.##.###.....##.....##..##..##.#######.##.#.####.####.#########.#.#.###.#.....#####.######.#####...######.###..#.##.....#..##.......##.#..####.####.#.#.#..#.###.#.#.####.#.#.....#....####.....##.....###.###.#.###...###...#.##.#.#.#....##.##...#.####.#.#..##...##.#.##.#######...##.##.####.#.###..##.#.....##.###.##..#.#.###....#.###.#.##..##...##.###.##.#.....##..#.##########..####.##.##...##.###.#.#####.######.##.##.#..##...##.####..###.###.##..#.#..#.##.####...##..#
###...#####.#.#...##..######.##..######.......#####.#...#........#.#..##.....##....##...##..####.##..#.########....#.##.##...#.#.#############.#.###...####.#####......##.##..##.#####.######.#..#..##.##....######.#.#.#.#.##.#..##.#####.##......#.#...##..#####.#.##...#.....#..##.....##.#...#.########..##.###....##.......#...#.#...##..##.##.......###.###.###..##...####.#..#..##.##..#...#.#.##.####.#.#.####.#.#.##..#.##......#......##...##..#.#...##.#######.######....########.###....#....#####.#.###...##...###.#.###.##.######.#.#.#.##..#.#.......#..###..######..##.###.##..##..#####.#...##.#..##.#.#.###.##.#......##.##.###..##..#..#.#######.......#.##...###.#..#.####..#..#....#.#.#.#.......#.##.##..##.##...#.#.##.#......##.....##..#.##.#.####.##
#####....##.#.##.##..##....#.###....#####.##.###.##...#.###.#########.######..####..###.#..#########....##.##.####.#.##.###.##.#.#.##..#..#......#.###....###...#####.###.##.#######....##....##.##.....####..##......#...#.##.##.#..#.....#######.#.###..##....####.####.#.#####.#######.##.#####.######...##....###.#########.###...###.#..##...##.####..#...######.#####......##.#.##...##.###.#...##.#.####.#..#.#####..##.#.#######.######.####..##.#.#.###...##.###.#...#####.##.#.#.#.#.####.#.####.#.....#.#.######..####.##..##...##.....#.#.#..#####.####.##.#.##.....##.##..##...##.##.##..##.###.##.#.##....#.###.##...#.#.##.........##..###...#.##.#..#######.#..####....##..##..##.##.####.#...#######.#.##..##.#..#..###.#......#.#.#####.#..##.#.##....#.#..#
#.######.##.#.##..##..####...#.####.#.#########.....#.#########.#.#....#.###.##.##.##...##.#.#########.##...#.#......##..##......#..##.##.######...####.####..###.......#..#.##.#..#.##..##.#.#..######.#....########...#.#.##.#..########..##........#..###.####.#..#.#..#.#.###..##.....##.##.#..#.##.###.#####.#....##...#.#.#...###.#.##..###..#######.#.###.##.#..#..######.......##.##...##.##.###.#.#.#..#.##.##....##.....#.#.#..........####.#........##.##..#...##.##.#....#.#.#.....#......##...#.#.###....##....##.##..##.#..########...#.##...#.###.#.....#.#..#.#.#...##..##.##..##.##.##..##........##.###.#...#..#############.##.#####.###....#.#.###.#.#..##..#.####..#.####.##..#.#..#.#.######....#.##.##..#.##.###..#.##########...###.##..#..##.###.##.#
#.#.####....#.##.##..##.####.#..........##..#...##.##.#...........####.#.#.#.##.#...###.......##.##....####.#.####.#..#.###.####.#.##......##....###.#.....##.#.#######.#.##.##.##.#####.####.##..###.#.####.###.#.#..###...#..#.##.##.#.#.##..##.###.##.#.#...##.##.#.##...#.#.#.#######.#..##.##...##......#.#..#.#######.....###.##....##.##...##.....#.#.##.......##.##....######.###.###.##...#.#.#.#.#.##.#.##.#####.##.##.##.#.##.#######...##.######.###...##.###.##..#.##.###.#.#####.######.#..#####.#.##.#..####.##....###...###.......#...#..###..#....#.#...##.#######.#..##..###.#...#.#..#####.######..##..##.##.###.#######.....###.##......##.#...........##..##.#.###....##..##.##.#.##.#..##..####...#..###...##.#.##....##...#.##.#.##..###.#.##...##.##.#
#.#.#....##.......##.#...##....#.##.#.#..##...#.#########.#######...#....#.#.##.#.#...####.#####..####.#.#..#.#..####...##..######..######..####..#..#.######.#.##..#.#....#.##.#...##.#..##..##.##.#.#.#.....#..#.#.###..#.#.##.##..#.#.#....######.....#...###...#.#..###...#.#...##.##.#.##...###.#######...##.#.#.#.#.####.##.#.#####.#..##.###..###......######.###..####.##.#.#.#...#.#.####.#.....#...##....#.#.#...####..##....####......###..##.....#.###.##........##.#...##.#.#..#...##....#.##..#.....####..##..#####.##..###.#####.#####.##.#.##.#.#######.##...#.#.##...####.......###.##..##...#.#.###.##.##..........#.##.#.#.#..##..#####.###.##.####.#######..#.#.#...######.....#...##...####.####.#...##.###.##.#.#..#.###.###.####.###.....#..##.##..##.#
#.#.###.##..##.####....#....############....#####.#.###.####.######...##........#####.#.#....##..##.##...##.#.##.##.###.##.##...##.##.#.##.##..##.##...##.##.....##.....##...#..###.##.##.#..###.#..#.#.#####.##.......####...##.###.....#.####.##.###.#.###.#.###.#.#.##.###...#.###...#.#.####.....#.##....###..#.#.#.#...##.#.....####...##..#.###########.##...#.##..###...#......###...#.#.#..##.##.###.###.###.#.###...#..#####.##..######.#.##.######...##...########.##.###..#...##.###..####....##.##.#####.##..##.#.##..###.#.#.##.#####.#..##....#.###.#.#.#.#..#...#.#..####...####.##.#.#..#####.#.#..##.#...#.##.#######.#..#.####.##.###.#####.......#######..##...#.##.##..##..#####.#####.##.#..#..#####.....##..#.#.#.####...#....##...#####.##.###..##.##.#
#...#.########.######.###.###...#.##.#...#####.#.........#...#......#.##.#.###.######...##.#####.#...###.##.#..#.#.......#..###..#.##.#.....##.#.....####..####.############...##....#....##.#.#.##...#..#....##.#.##.##....#..#.#.#####.###....#......#........##...#.#..#...#.#.#.###.....#.######.#.###.#..###...#.#.###....####.##..###..##....##..##.#.#.####.#.###.#.###.######.#.###.#.#.#.#####......#.#..#.....####.##.#.#....##.#......#.#...##....#....#####.##.#.##..###.##.###.##..##....##..#.#..##.#..###.#....###.#.#.#.#.##..###..##.###.###..#..........###.##.##..#.#.###..#.##.#.##..##.#.#.#.##..#.#.#..#.##.##.#.#.#####.#..#.##...##.####.##.#.##..##..###.#.##.#..####.#...#.#.###.#..##...####.#.#######.#.#.#.#.#..###.######.##......#.##..###.##.#
###....##.##.#.#..#####...#...#....#.#####.......#######.###...#.##.#.######....#.#.###.#.....##.###.#.#....##.#.##.####.##..##.##.#..#.###..#.##.##....#.###...#.##..###.##.#..####.####.##.#.#.####.##.####.#########..#####...#.##.....#####.####.##########.####.#.##.#.#####.#..#####.##...##.#....#####.#.###.....#.####.##...###.#.##..##.#####.#....#..##........#.#....##.##...#.#.#.#.#.#.########.#.##.#.#.###....##.....####..####.#...##.#########.###........#.###.....##.##..###.#####..##...#.###...##.....####.#.#.#.#.#..##.#...##........##.##.#######.######....##.######....#.#.#..###.....#..##.###...#####.##.......##..#.##..###.##..###.####..##.##.####.#..#...###.#.#.###.#..#....#####.##...#...#.#.#.#.#.#.#...##...#..##..#######...###.#.#.##.#
#...##...........##...#######.####.....####.###.##.........########.#.#...#####.#.#.....##.####..##....####.##.#.#####...##.###..#.#.####.##.#..######.##.##..#...###........####....##.#.#....#.#.#..##.##...#.#.#..######....#.#.#####.##.###.#######.....###..#.#.#.##.#.#.##..##...##...###..#.##.###.##..#.#######...##....###........#.##...####.#.##.#.##########...####.##.####...........#.#.##.......##.###...####..#####...###.##.#####.....##.........##.#.###.....####.##...##.#.#..##.#.#####.#.#.#.######.#.#.##...#.#...#.##..###.########.###.#####.......#.#.###.##...#...###.##.#.#.##.####.##.##..##..####....#..###.#####.#..##..##.###.#.#...##.##..#...#.#.##...###.#......##.#.##.####..##..###...#.#...#.....#.#.####.###.##..##.###.#.###.#.#.#.##.#
###.######.#.###.###.##..#....#....###.#.#########.######.#####.#.#######.#.#.....#####.....#.##.#####..###.##...#.##..#....#...##.#..##..##...##..##.....######.##.########....####.#......##.....##.....###.#.#.#.##..#.###.##...#.#...##.#.........#####.#.#.##.....##......##.#..###..###.##...##.#....##.....##....#######.....##.#.#....###..##..####.#.##...##....#.##.#.........##.######.....#######.##...##.#####..##.....###...#...#.#####.#####.##.#.#######.#####.......###.##...##..#.####.#......#..#.#.#.###..###.#.###....##...#..##.##...##...##.##.##.#...#.#....###.###.....#......##.#....##..##.#..##..####.##.#.###.#.#.#.###.###..##.....#..#..##.#.###....###..##.###.#####....#....##.###.#.###.#####.##.####.#..#.#.#.#..##..#.#.#.#..##.#...#.#..#
#####.#.######....##.###.#.##.####.#.....#.#.......##......#.......#.#.#......#.#....#####.##.#...#.###.#.#..###....##.#.##...###..#.##..##..#..##..##.####..#.#.#..###......####....####.########....###.##..#.#.#..##.#..##.####.#.###.##.####.#.##.......#.#..####.##..###.##..##..#..##.#.####....#.####..##.###.##.##.##.###.#.##.#####.##.##.##.##.......###..##.#.#......##.#.#######..#.#.#####..##....##.##...##...#######.#.###.###.........#.###..###...##.##.#.#.#######..##..###.###....#.#.####.#...##...#..#..###..#.##..#######.##.#.....#..###.##.#######.###...#.###......#.#...######..##.#....###.#.####..##........##.....#.##....##.#####.#####.##......###.##.##.##...#.#.#.##.###.####...##.....#..#.#.....#......##.....##.##.##.....#.##..###.#.##.#
#.......#.######.##...##.########..#####.#.###.##.##..#.##.#######.#.#.########.####....#..##.###.#.#...#.#.#######..######.######....##..####.####.#..#.##.##.#.##.#.######.#..####.#..####.#######.###...##.#...#.##..#.###.#....#.##........###.#..#####...##.#.#...##.#.#####.###.##.#..#.#..####.#..##..#####.###..##.##..#########.....##.##.....######.##.#.#########.##..#.###....###.......####..#.##.#..##.######..##.....#.#.#.#########.#.#...####...####.#....#.#.#.#.#.##..##...#.####.#...######.######...##.##.##.#.###..#.#.........#.####..#...#.#.#.......##.####.############..#.#.##.####.##.##..#...##.#####.#########.#...####.##...##.#.#.##...###.####...##.#...#.###.#.#.##..#....###.#######...##.###.###.#########.###..##..####.##..##..........#
#######....#.#....##.##...##.##.######.....##############................###..###.#####.##.##.#.....###...#.#...####..#.#....#..#####.###.#.#...##....##.#...#.#.##..........##.#.#..#.####.......####.#.#......###.###...#.######...###.#####.######.#.....#..#.#.###.##....##...#.#.##...##.##.#.##.#.####..#.##..###....#..##.#.#...#####.##.##.###....#.#.##.#.######.###############.#.#####.###....####..##.#...#..##.#######.....#.#.##.##.###.#.####.###.##.#.##.#..............#####.#.#.##.##.##..###.###.#..###..##..#.#.#.##...#.############.##...#.....#####.###..#.##.##.#.##.##.#.##.#..#..######..##...####..#.#..##.#.##...##.##..#..###.#.......##.##.#.#..###.##.###....##.#......##.####.....##.####.##..##.#....#.##.##..#.##.##.##.#.....#########.####
#.....####...###.##...#.###......##....###...##.###.#..###############.#.#.#.##...#.##..........#.#.....#.....#......##.###.##.##.#.#..##.#.##.#####.##..###.#.#.#####.#.#.#....#.##.#....#######...##.########.#.#.#.###...##...#.#..####.#...#.#########.###...#.#....##.######.....##.###..#.........#.###....##.#.####.#.##..#.##.##.#...##.####...##.#.#..#.#..##.#..#.#.##..##.#.##.#.#.......####.#.#..##....###.##...##..####.###.#..#.#..##....#.#..#...##...####.##.#.#######...##..#.#.##.....#.##.#...#.##...##..#.##...#..#.#######.##.#.#.#..##.##.###.#.......##.#.#..##............#.#.##.##..#.#.####.###.#.##.##.#..#.######...##.##.##..##.######..##.#.#.###..##.#.###.##....####.##..#.###.###...#...##.##..#.####.##.##.##.##.#..##.#.#####.##..#....###
#####.######.#...####.#.#####.##..#########.###.#.#.##.........###.##..#......###......####.###.####.##.##.#.##.##.#....#.#.##....#...###...##..##......##.......#.#.##########...##.##.###...#.##.##..##.#..#......#.##..#.####...##..##..###.#...##....###.###.....##.#...##..#####.##.#.##.#########.#.#...#####.#..#...#.###....#.#....#......######....#.##.#.###.##.....#..##.......#.######.####....##..###.####.####.##.##....#.#.##...##..###.##.##.###.####.#.#####.####...####..##.#.#..####.##..#.###.#.##.####.##.####.#.##.#.##.............##..#...########.###..#.##..##.#.#.#.##.##.......##...#.#.##.#.#....#.##.##...#.#.####....##.###.#.......##.##.#...##..###.#..##..#.####..#####.#.#...#.###.###.##.###...#.##.#...#.##..#.#.##..#.#.#.#..##.###.##.#
#............###..#.......#.#####.............#.#....#.###.#.#........##.#.##.....#.#.##......####...#####.#.##.##.#.##......####...###.##.####.####.#.#########.#.#..#.#.#.#.###.##.#...####.#.#...##..#.##.#####.##.##.####....#.###..#.##.#.###..####.##......#.###..###..##.###.#.##....#..##.........###.##.#..##.###.#..#####.....#.###.###..##.#..##....#...#.#..#####.##.#..#.###.#.#.##.#.#..####....##...##.#.#.....#..###.##...##.#####...........##...##....#.#.####.###....##.##.#.#.##.##.###...###.#.#...##...#..##..#.##....#######.#.##.#######.##.#.##.#.#.##....##.###########..##.##.#.##.#.....##.#.#.####.#..###.##....#.###.###.#.#.#.####.##.......#.###.##....###.##......##...#.#.##.##..##.##...#.#...###.##...###.##.##.#.###.#.#.#.#.##...##....#
##.#######.#..###.#.###.#...##..##.####.##.##.#.####.############.#.#.#..#..##.#.##.#.##.##.####.#.#.#.....#.##..#########.###.#..#..##.....##..#.##.####...#..#...#.##.....#..#.....###..#.#.#.#.#####.#.....#.##.#.......#######.#.##........#.##......#####.#.######.#.##..#.#.#...#..####.##########.##....#.##.##.......##..###.##.#.#....###.##...####.#.###.#.##.##....##.#.####.#...#.##.#.#.##.#####.####.##.#.###.#.#.##.#....###..#..##.#########.####.##.####.#..#.#.#.####.......#.#.##.#..#.#.###.#.....###..###.####......######...######.#.#.##...#.#.#..#...##.##.#..#.#.#.#.#.##.....###.####.#.####.#......#...##.#..##.###.###..#..#.#.#.##########.######.#.#..#.##....#.#########.....##.#..##..####.#.#.#..##....###....#.#..#..#........#.####..#.####
#######.#####.#.#.#...#######..#######..#..#....#.#...#.....#.##..#.#.##.#.#####.##.#.#..#..##.....#.##.#.##..######..####...#.#####.####.#####....#..#.###.##.##.##..#####.##.#####.#.##.......#..##.#.#####......##.#.####...###.#.###.#####....######..##...###...##......##.#.###.#.##.##..#.#.......####.##.##..######.##..##.##########.##......###..#.#..........#####.##.###.##...#.#.#....#.##...###.#.#...#.#.#.###.#....####..##.##.###########.#..#.......#.#.##.#...#.#.########.#...##.#.##.#...#.####.##.##.#.#...##.#######.#.###..#.#..........#...#.##.##.###..####.#.#........#.#########.####..##....######.####.#.##....#.#.##...##.#.#....##.##.....#.##...####..###.##.#.##.##.###.####.#.####.#.#....####....##...##.###.##.##.##.#######..##..##.##.#
#.##....#.#.#.#.....####.#.###..#.#..#####.####.#.###.#####......##.######.#..#...######.#.#######.#.##.#.#..#####.##......###.#......#.#.#..#####.#.##..##.#..##..#.####...##.##.#.....####.##.#.##..#.#.########.#..###..##.##.###.#.###..###.###..#...#########.#....####.##.#.#.........#.##.#######.#.#.....###...##...###..#.##....#....####.#######...####.##.##..##...##.##.....#.#.....##....###.#.#.#.###...#....##.###.##.##.###.#....##........##.#.#.###.....##.#.#.....#..#.###.#.###....#....###.#.#...#.##...##.##..#..#....#.#.##.#.##.#.###.#####.#.##.#..#.##..#.#...########....##.#..##.#.#..##..##...###...##.....####.#...####.##.#...#####.##.##.##..###.#.#..##...##.#.....#.##...##..#.##.....####..##..#.#######...##.##..#.......##.#.####.#...#.#
#....##.......###.####.#.....##.#.##.#.#.#.##...........#.######.##.#...#..##...###......#..##.....#########.##..#....#.##..##.######.......##.##..#.##.##..##.##.##.#..###.....#.#####...#####....##.....#.##.##..##..##.##..##.##..#.####.....#.##.###.##.##...####.###....#..#.###.####.##..#.#.#.#.#.#.##.####.##.#####..##.##.#####.######.####.#...#.#.#....#####.###.#..#..#############..###.###........#.###...####...#..#..##.#.....##.###.#.###.#..#####...#####....#####.##.#.#.#.....####...######.#.###...#..#.#...##.#.##.####.#....#.########.#..#..#....#.##..#.##...###....#.###.###.#.##....#.##..#######.##.#######.##.#.#.#.#.....#...###.#.#..#.#..##.##.......#####.#..#.#####.###.####....##.#.###.##.##.#####.##.##.###.###.###.#####..#.##.#.##.##.#
#######.#.###.#.#.###..####.##..#.#........#..#.####.##..........######.#######..##.####.#.#####.#...#.#.#....##.##########..#.#..#######.####.###.#.##..##..#.##.#....##.##.##....#####.##.#.####..####.##.#...##....##..##.##.....##.#.###.##........#.#...#.#..#.#.#...##.##.#.########..##.#.#.#.......##.#.#..#...##...##..##..##......###.#.#..##.#########..##.....####.#.##......##.....####.#.##.##.##.....###..#.###.##.##.#....##.#####.#####.#.#.##..###.##.....#.##........#.#.####.##.###.##..#.#.#.....###.######..#.#..#.###..####.#...#.#..####.##.##.#...###.#.##.###...##...##..##..#.#####.#..#.##.##.##.##..#.###..##.#...#######.##.###..#...#####..#.########..##.#...##..#.##..##.#.#..#####.###....#......#.#.#...#.#.#.#.#.#....#..##.#.##.#.##....#
#..##.#####.........##.#.#..###...####.#.#.##.#.#.....###.###.##..##.....###.#..#####....####....#.###.#.######...........##...##.#........##..#.#...###..##...##.###.##..######.#........#.#.#.###.#....##.###..##.#..##..#.######.##.#.#.######.#.##.#.###.####.#.#######...#.#.#.##...#.##......#####.###....##.#.######..#.##..########.#.#.#.##.....##.....######.##.##.#.#.#######.#########.#.#..###########...##.#.##..##.#..##.###...##......#.......##......#################.#.#..###.##..##.##.##...#####..#.....####.#.#.##.#.#.###...#.###.##..#.#.##.#####.##.#.#.....#########.###..##....##...#.##....##.##.##.##.#.##.##.###..##...#......##...#####.#.##..##....#.##....####.##..#.##....##..##....#####.#.#.####...#.###.#...#.#.##.#.#.###.#.#....#..####
#.###..##...###.###.##.#.#.##.#.#####..########.#.#.#.#############..###.#...##.#######.###.###.####.#.#.#.##.###########.#..####.#######.###.##...#..###..##.##..#.#.##.##.#.#########.#...#.#..#..####.....##.######..##....##.#..##......##.######....#.#.##.#.#..##.##..#...#.#..###...###.#####.###...###.##..#...##...##.###.#.#..##....#....####.#######..###.###...#.......###.....#..###......##..##.#######.#.....##.##.##.#....###########.######.#######.###..###....#####......##...##.##..##..###.##.##.##.#####.#..#............###.#..##..##.#.#..#.#.#.#..#.#...###.#.#.#..##..#..##..######.##.##.##.#.............##..#.#.#.#####.##.########.#.##..#..##.#####....##.####....#.##..#.#####.####.###.#...###...##.#.#..#..#.###....###.#.#.#.#.##.###.##..#
#...##.######...#......#.#.##.#...#.#.#############.###.....##..######.....#.....##.#.###...#.###.##..........##.#...##.#.##..##..###.......#..###.####.#.##.....##......#..#.#.#.#########.#.##.#.##.##.#.#....##.#.##..#.#####.##.####.##....#.#.##.##.....##.#.##.#..#######.#.#.##...###....##...#...###...###.##.#####.##..##.#.##....##.####...#...##...#.##....####.###.#####...###.##.#.####.#..##.#......##..###.###..##......####.#.##.##.#.#.......##.#.....##.#.####.......#.##..##.##...##.##.##......##.##...##..##.#.##.#########.#.#.##..###.#.##.....#.##.#...###.###.#.##..##.##....##.###......#.#####.####.#####.###.#.#.#.##.#......##.#.#.....##.##.##.#..####.###....##.###.##.##.#.##..##....##.###.##..####.####.#.##.#####.####.#.#...#.##.#.#.##.##
#.#.....#..###########.....##...###.####.#.##.#......######.##.##.##...#####.###.##.....###...##...####.#.###....###.......##.#..##.##.#.#.##.##....##..#..#.#.#..####.#...##.........###.#.#.#..........######.##.#....##..##.......#########.....#########.#....##.##...##.........###.#####.#####.##.##.##.##.#.#..##.##..#.##..#.####.##...#.###.###.####.#.#####...#..........#####....#...#.#####.#..###.##.#..##.#...##..######.####.#.##......######.##..###.#.#..#.#..#############.##..###.....#..###.#.##...##.####....#.####..##.##..#....##.#.#......#.#........####...##.#.##.##...###.###..#..#.##.....#####..#.###.###.#.....#.##.#####.###...####.###..#.##.#.##.#...#..#####.##...#.##.#.###.##.####..#...###..##...#.#...#....##...#...#.#.###.##.#...##..#
#.#.###.##..######.##..###..#.#.##..##......#.########.......#.##..##.##.....##...####.######..###.##.##########.##..#.###.##.##.##.######.....###.##..##.#######..#.#.###########.##...........###########.....#..##.#.##.########.##..##.....#.#.#.#.#.......##.....###.########.###.....#.#...##..#...#.#.......#.##...##...###....#.######...#........###.#..##.###...#.#.######..#####.###...#.#.#...##.###....##..#.###..##.#.#..........######.#.##....##.##..####.#.#.####.##..##.#...##...#####.#.##.###.##.###.....##.#.....##.##...##...##.#..#.###.#.#########.#..##..###..#.#...###.##....##.######..#.#..#..##...#.#.##..#####...##...##..#.#.###.#...#..##....#.#....###.##.##..##.###.##....##.....#.##.###..###.###.##.#.###.#######.###.....##..##...###..##
#######.##.##...#.....####.####.##.######.#.#.##..##.#####.#....##....###.##.#..###.#..##..###.###.##..#.#...###.#######.........##...##...##.##.#.##.##...##.#.##......###.##.....####.#.###.#.##....###.#####.##..###.##...##.#.#.###..##.##.#.#.#.#.#####.#.#..##.##.#.#..........####.##...#####.#.###.####.##......#.###.##...#.##.##.#...#...#####.##.#.#.##....##.####.##.####.#.#.......#.......####..#####.###.#.##..##....##.#####.###.###..#.#####.#..###..##....#.##...#..##..##.##..####.##.#.##..##..#.#.#.#########.#####..##.#####..####.#..####..##.#...####..#.##.##.#...###.#..####.#...##.#..#######.####.##.#.#..##...###..#.#####.#.#..#..###.#.####.###.####.##........###..##.##.######.####..#.##..##.#.#....#.#.#.#.#.#.#....##.#.#..##.##.#.....###
#.......#..####...###.##....##..##..##..###....##....#..#######..#.##.#.#########.#.#.####.#........##.#.###........#.##########....#####.##...#.#.##.##.###..#..#####.##.#..####.##.##############.#........#...##.##..##.###....#.#.#.##########.#.#.#..##.###.##...#...########.###.##.####...##....#....#######.#######.#.#..#####..##.######.##......#.#.#.#####.####.#...#.#.#......#.#########.#.##.#.##.#.#.......###.#####..#.#..####.#.#.##.....###.##..#..######.#.##.#...####.....##.#.#..........####...#.#..#...###...#..##.#..#.#.##..##..##..######....###....##.##..#.###.##..#.##......###..##.#.#.##..##.#.##.....####.##...##...##......##.##.#.#..##..###..##..##.####.###.#.##...#...##.#.##.##.#..##.##.....####...........####.####.####...#.##.#.##.#
#######.##.#.#..#..########..##.##.###.#######..####.#.##.#.#...##.####.##..#.##.......##..######.#..#...##..###.##.#.#.####.#.####.##..######.#.#..#.##.#.##...##.#....#.#.##.#####.....##..#.#.###########.###.##.###..#.#.####.#.#.#.#.##....#........##..########.###.#........#.#.#..#.#..#####.#...####.##.#..##...##...##..#.###............##.###.......#.##...##....#...#.############..#....#.##......#.#####.###.........##.#.##....#.#.######......##...##.##.....######.#.#####.##..#.#####.###.##..##.##.#.##.###.###...###...##.#..#.####..##.#..##..##...####..#.###.#..##..##.#.#####.###.##.##.#.#..##.##.#.######..#.#..###.##.#########..#.#..#.#.###.##...####.#..##.####.....###.#.###.....#.#..##.##.####.###..#.######.####..#.#.#.....###.#.####....#
#.#.##.......#######.###.###.......##...#.#..#.##.#..#.##.#.###.####.#...##.#..#####.###..##..######.###....##...#...................##.###....#.#.##......##.####.###.##...##..##...###....##.#.#.##.#.#....#........##.#.#..##........#..####.########.#####.###..#.......####.#.....##.#.##..######.######.#..##..##.#####....##.#.##########.#.####...#.###.#..###.########.##...#.#.##...##.######.####.##.#...##...###.######.##.#..####.#.#.#.#.#######..###..#..#####.#.##.#.#..##.#..##.#..####..####..##..##.#.#..#...##..####..####.##...#.#..##....##..#####..#...##..##.#.##..##..#.#.##...##.#..#..#.#.###.......##.#..##.#.##.......##.###...##...##.#.##..#..###.##.#.##...#.####.##...#...##.####.##.##.##........#.##......#.##.##.....##.####.#.#.#.#######
#......#####..##.##...#..#.##.##.#####.##.##.#.#..##.#.##.#......##..#.#......##.#...#.##..#.##.#.....###.#..###########.##.###.#.##..#.#.####.#.#..####.###...##..#.#.#..#####..#####.####.##.#......#.####.###.#.#.###.#...##########.#.##.#....###..#..####...##.##.#.####..######.##.....##..##.#...##..#.##.##.##...##.####..#.#.#.#.....######....#######.#.##....###.#....###.#.#..##.##...........#####...######.#.####.##.....##..##....#.#.#.#.#.####.####...##.....#.#....#.##..##..#.##......##..##.##.##..#.#.##.#####..##..####..####.#...####.#####.##.###.##.####.#.....##.###.#.#.####....##...##.....##.######..#.##....##.###.####.#.#.#..#.####......##.##...#..#.####.#..##...##.##.###...##..##.#..########.##.###.##.#####.####.#.....##....#.....#####
#############.#...###.##.#.####...##...##.##.#.##.#....#..######..##.########.##.###.#.###.#.##.#####.#.#######.##.......############.#.#.##.......##.....#..#####.#...#.###..##.##.##...#...#.###.##...#.#...######.#.....#...###.#....#.#..##.###.##.#.##..###.#.....###....##......###.#####.##..##.####...##.#..###.##...##..##.....#####..###...#####.........####.#...##.#.#.....##.##..###########.#.#.###..#.##....##.#..#####....#####.##.#.#.#...........##.######.##.####.#..##..##...#####.#..#.##......##........##..##..##..#.#.##.#..##.###.#.#..####......#...##..###.#.##..##...#.#....#####.#..####.##....#.###.#.#####.#####..###..#.####...###..#######..###.##....##..##.##.###.....####.####..#...##....##..#...##..###.##....#####.##..####...#####...#
###.#.#.........#......#.#.#.####..###.##.##....#.####.##..#.###.##...##.#.#.....#.#.#..##.#.#..##....#..##..#.....#.#####.....#.#....#...######.#..#####.##.##.#..###.#.#.##....##..###.##.##.#####..#.....###..###.#####.#####...####.#.##.##..#........##.#.....##########..######..##.#.##...##.#...##..###....##.#.####..##.#..#.###.#.#.##.###.#...########.##......######.#####.#...##.#.#.###.#.#.#.#.#...##.##.##.##...##...###.##.##...#.#.#.##########.###.##...#.##.#..#.##..##..###..##.####.#.####.#.#####.########..##....##.#.##.##....#.#...#.##.#######.###..##..##.####.#####.#.####.#.#.###.##.#.....##.#..#..#..##.....#.##...##....#.##.##.##.##..##..##....##.#####.##.##...#.#####.#...#.##.###..####..##.#.###..###...##.#.#..##.#..##....####..#.###
#.....######.#.###.#.#........##..##.#.##.#####.#.#.....#.##.#.#..###..#.....#.#.......###.#.#.##..##.##..##.#####.#########.#...####...###.#....##..##...##.#..##.#.#......####.##.##.#.##..#.#..###.##.##.#.#.##....##.#..##.###..#...#.#..###...####.####.##.##.####..#..#.##.#....##..#.##.#..#.###.###.#.###.###.#..##..##....####.#.#...##...#.#.#.......#...######.######.###.#...####.........#.....#.###.##.####...##.#####.........###.#.#.#.##..#.#.....#...#.#......##...##.####...##.##..##..#..###.###.#....##.#.#..##..####.....#..####.#.##.##.#..#.#..##...#.####.##..##...#.#......#..#.#..##.#....#.#######.##...####.####.##.#####.#......#......#.##..######.##..#.#...#..###...#..##...###.#..##..##.##.##......##...#.####.###.######.#####.#....##...#
#####........#.#...#.###.##.#####..#.#..#..##.#.....#.#....#.#...##.##.####.####.#.###.#.#...#.######.###.##.####..#.........##.###.###..##.########....#..#.#.##..#.#.######.##.##.........##.##.#.#######...#..####.##...###.#.##.###.....##...#.##.#..##...####.#..##.##...##.####..##....####...##...#..#.#.#.#.#.#.##..##..##.#.#....##.####.############.#.###...##.#.##...#.#.###.#..#########.#####.#.##..##..#####.#......#####.######.........##.#.#####.##.#####.##.#####.##.##...###.....####...##.#..##.##.###....##.#..##..###.###.##....#.##....##.#.#.##..#....##..###..###...######.##.#.#.##..###.####.#.##..####...##...##.##.##..#######.##.###.##.#..###.....##.##.###.#.###..###.##..####..##..##..#.#.....#######.###..##...##.##.#.#..#.#..#.####..###
#.##..#.##.#.#.#.#.#.#...#..#.#.##.#.##.#.##..#####.######.#.#.#.##..#..#.###.######.....###.....###..#.#..#.#..###############.........###.##.##..#######......##.#.#.###.##..#..#######.#.....#.#..##.....#...##..#..###..#..#.##.#.##.#.#######.#..#.#####.##.####.#.....#.........###.#####.##.##..###.##...#.#.#.#..##..##..###.##.#..#.##.#.####...###.......###.#..#..###.#.#.###.#.##...##.#....##.....##..#.##..##.#.###.##.....#.#.#..##########....#........##.####..##...##.####...#####.##.#.#.##.#.###.#....##.####.#.##..##.#..##..####.#..#.####.......#####.#....##.#.##.#.#####............##..##.#.##.#.##.##.##.###..###..#...#.##..#.....#..#####.#.##.#####..#....##......##..##..##....##.##.####...#####...........#.##..#.#..##.#.##...##......##...#
#....####..################..........#..#..##..#.#########...###.###.##.#.##...##....#.#.....#####.##.....##.##.#.#.##.#.##.#.##.######.#.#.....##.###.#.####.#.##.#.#.#....##.#.##..##...#.###.#.#.#######.###..##.##.#.##.##...##...#..####.####.##...#.##......###.#############.#......##.......##......###.#...#.#.##..##..####..#.##......#..#.###.#.###.#####.#.##.#.##..............###.#....##....#.#..##.#..##.##.#.#.########.#.#.#.##...#.#..####.#######.##..##.##..#.#.#...#.##.#####..##.###.#..#.##..##.###..##.#....##....##.##.###.#...##.#.########.#.#.#####.##..#..#.#..##.###########.###.##.......#.##.##.##.#.##...##...###.###.#####.#.##.##..#..#..##.##.#.#####.########....##..#####..#..#.###.#..##.#######.###..####.#.##..#.#..#..#.######..###
##.####...#####.#..###.##...#.######.##.##..##.#..###.#..###..#..#....#.#.###.#####.#####.#.###.#..######.#..##.#.........#......#..#.....####.##......#......####.......##.##.#..##..#######........##..#######...............######.##.##.#....#.#..#....######..#..##......#.....######..###.###..#.########.###...#....####....##.######.##...##.##..#.#...#.##.....#.#.###.##.####.#####.....#.######.#.##..#.#.###.#..#.#..##..#...#.#.#..#.###.#.###............#.##...##.###.###.#.##.##..##..#.##..##....##.##...##.##.##.#####.####.#...#..###.#.....##...........##.#..##.#.##.#.##...##.#.....#.##...##.######.##.#...#...##.######..##..#..##..#.#.#...#.##.##.##..##...#.##...###.#...##..##.#.#.##.#.##.##....##......#####...####.....##.....#####.##.####...#
#..##.###.#..#....##.#..#####.#......#.....##..##.#.#...##.##.##.####.......#..##.#####.###.#...#.##.##.#.#.##..#########.##.######.#####.#.##.##.####.######..##..###.######..##.#..##.##.###.####.####..##.....#.###.#####.#####.#......#.####.#.######.##.#..##.##..######.##.######.#..##.#.####......##..#.#.###.####.##.#.####...##..###..#.....##.#.###...######.#.....########..#.#.##########.....#.###.......#.##...#.####.###.#.#...##.##..#...#########.##....###..#..#...##......##.####.#.#..###.##.##.##.####.##.##.##.....##..#.###.##.....########.#.#.###......##.....#.#..##.###.#####...##.####..##.##..#...###.###....##.##..##.##.#..##.#.#.###.##.#...##..###.#..#.#.......########.#.#.#....##..##.#..#.######..####..#.###.#####.##..##.#.........###
##.#..#.#.##...##......###.#####.###.#.###.###.##.#.###.##.##.##.##.###.#.#.##.#..##.#...#....#.#.#..#..#.#....##....##......##.................###.#..#.#....########.###..##.##.##..#......####....##..##..#.#.#.#...##......#.#.#####.##..##..###.#.....#...##...##..##.##..###......##.#..###.#..####..##.........#.#..##...#..###..##.##..#####.##........#........###.###..#...##.#.#..####..#...#.#.###.###.#.#....###....##..##....###.##.###...#########....###.##.##.##.###..##.###.#..##.....#.###...####.....##..##.##..####.####.#.##...#####.##..##.########..##.#..#####...#.##..##...##.##.##...##..##...##...#.###.#.####....#..###.#....###.#.#.#.#..#.#.###..####.#.####.########..#.#......####.#..######......####.#.##.##.#......##.#..###.#.######.##.#
#..##......###..####.#......##.###.....##.......#.#.##........##..#...#.#.#......##..###.##.###.#.##.##.#.####.#####..#############.##.##.#####..#..##.#.####.##.......#...##..#...##.##.###.##.####.###.############.########...#.#.##...#.####..#..#####.###.###.####.....#.#####.#.#..#.#.###....####..###########.#.#.#####...##...##...##.#.....#..#.#.#.###.#####......###.##.##..#...##..##.#####.####...#######.#..###.#####.#####..#..##...#.#####.....#.####...##.##.#..####.####.....##..#.#...#...####.##.######.#..###..##..#.#....##.####.##..#.##..##.#.....######.##.###.##.##.#####.##.#..####..##..##.###.#####...#..######.#.##.#.###.##.....#.#.#.##.#...##.##.#.#.#.#......##...##.##.######.#...##.##.####.###.#....##..#.###.########...#.#.##...###..#
##.#..##.#.#...###...#####.##......##.##..#####........####.#####.##.#######.#.#..##.#......##............##....#.###..#............#...###.....##.##..#..###..#######.#.#####.###.##..#.#.................##..####.#.#.#######.##.#.#..#.#.##.##.##.##......#........#####....#..######.......#.#.##..#.###...##.##..#.#.#.##..###..#..##.#######.#...##.#.#.#...#..##.##.#.........##.#.####.##..##.#####.###..###..####...#.#.##...##.##.##.###.##..##.###.#######..#.......#.##.##.#..##.##..#.####.#...###..#.#...###.#.##..###.#..##.####.....##.....##..##.##.########.##..#..#.#.#...#..##.#.##.#.##..#.###.##....#.#..##.###.##..##.....#.#.#....#####.#.#.#......###.....#.#...##.#######.###.##.#..##..###.##....##.#.#.....##.##.##.##...##.##.###.#....#.######.#
#..#.##..#.###.#...###......#.####.######.##....#.#######.....##.....#.#.#.######....###.#.#####.#.#.#.##.###.#.#.#.##...#########.############..#.###...##.##..##........#.#..#.#..##.#########.#######.###..##.#..###.........##.....##....#.#..#...##.#.#...#.####..##.####.##.##.#.####.##########.....#.###...##.#.#....##.#.####.##....##.######..###.###.#.##....####.#.#.###..#.#.##.#.##.##...##.....##...##....#.#.....##.###..#..#...##.##.##..#.#..#.#..#.###.#.##....#.##.#.#######.##########.#.#.##.##.##.#......##...#.###.#.#..#.#######.####..#.##..##.##.#..##.##.#.#.###.#.##..#.##.#..##...#...###.###.#.##...##..##..##.####...####..##.......#.######.#.###.#.#.###.....##.#.#.#.##.#.####.##...#.####..#.#.#.#######.....###.##.##.....#.##.#.#.#.#..#
##########.#...##.########.######...##..###..##.####.##...###..#####.#.#...##.##..##.#.######..#####.#.#..#.###......##########.####.###...#####.#.#.###.#...##..######.###.##...##..#.##.#...######.#.....##....##.###.##.####..#######..##.#.##.###.#############...##..##.#.#........##..##.##.#.###.##.#...###.#....###.##....#.#...#.#.##....##.#.####...#######.#..##..#.######.....##...#...###..####.##..###..##.#####.####.#.##.##.##.##..##..##.#.##.#.##.###.#######.#.........##..#...#.#.#..........#.##....######.##.###.......##.####......##.##....#.##.....##.##........#.#.#..##......#.#####...#..##........#.###..##..##.....##.##.#..##..##.####.#...##.#####.......##.#####.......##.#.#.#.....#......##.....####.##.##.#.##.......#####.#.####...#.##.#
###.#..#####.#..###........#.#....#.###.#######.#.......###.##.#.#.....##.##..######.#.##.#.##.##.#######....######.##.###.......##..#.###............#..###.###.#.##...#.#.####..##.#..#.##.##.#....###.#######.##.#.#######.##.#.#.#######.#.#..#.#..##.##..#.#...#..##......########.###....##...#.#.######.#.#.####...#..##.###.##.####.#####......#....#.#..##...##.#..######.#####.#####.#.###.##..##.....##.##.#..##.##..##..#.##.##.##.###.##.##..#.#..#.##.##...#.#.######.###.#..##.###.#...#####.###.##.#..##.#..#.#.##..#####.##.##..#.#####.##...####...######.#..##.####.#...#.#.####.#.#.#.#.###.######..#####.##...#.####.##.#####...#.##.#####...##....###...#..####.##.#..##..##.#######...#.########.#####..#.#..##..#...#.#######.####.##....#.#..###.##.#
#...#.##.#########..#.#.##.#.########...#.#.#...####.#####..#..#...###.##..##...##.....#.....#.#...##.#.###.##.#.......#.#######.###.......####.#####.##.#.#.#.#....##.##....#.##.##...##....##.####.......#.#.#.#..#.##.##.#..#.#.#.#...#.#.#.##...##.#...##.#.#.####.#####.#...........#####.####.#.#.#.#.#....#.#.####...###.##..#...##......##.##.##########..###.#####.##............#.#......#.#..#######.##.#####.##....##..##.#.....##..##.##..##.#.##.#.##..###.....#.#.#########..#.#.#.#.###.#....#####.##.#####.#...##.##..####.....##.##.#...###.##.###..#.#.#.##..#####..#.#...#.#.#..###...#.#.#....#.##..##.####.###..##.....#.##..#...#...#.#..###..####.###.##......#####..##....#...#.#.#.#.....##.#...#.#.#######..##.###..#.##....#.#.#####.#.##.#.#.##.#
###.#.##.#.##.#.#..####.#.....#..#.#..#.......#.##.###.#.##.##...###......###.########.#####.#.##.###.#.....##.#.#.#.#.....#......#..########.####.........#.#.##.#.##.#..####..#.#..#######.##.#..#.####.##.....##......#..##...#.#.###..........###..###.##.#.####.#.#.#.############.##.###.#.##.#.....#.##.#...#...####.#.#..##...###..#########...#####.####...###.#.#######.######.##.######.#.##...##....##.#.#.#..####.##.##..#.###.##.##...#.###.#.##....#.##.##.##............##.##.#...#..#..##.###.##..#..#.##..###.##.###...##.#.#..#....###..#...#.#.##.#.#.#....##.....######.#.#.########.#.#...####..##.....##...###.#####.##.#######.##.##.#.##.##...##..##.###.###...#...#####.##.###.###.####.##..#.###....##.#.#.###.#...##.####.##.#.#.##..#.#....#.##.#
#...#.##..........##....##.##.##.#.##.##.##.#.###..###.#.......######.###...#...##.....#.....#.##.##..#####.##.###########.######...##.........#.##.#.####......#.#....##.#.###.....###.#..#..#.##...#....######....####.##....#.#.#...#####.##.#...##.##..#....###....#.#.##............#.....#.#..#.#####.######.##.##.##.#.#.###.####..##.#.##.###.##......#.###.##.....##.###.#......##..##.#....####..####.##.#.....####..##..##.###....#..#.###.##....###.#...##..######.#.#####.##..##.###.##.##..#..#..###.##.#.#..##...#...##.#########...####...##.###......#.#.##.#..#######.#.#..#.#...##.......##.###.#.##..########..##..#.#.....#.##..#.....#.#..#.#..###..##...######.###.#.#.#.#.##.##...#...##..###....##.####....#.#.#.#.####.#.##......#.#..##...####.#..#
###...####.####.#..##########.#..#.############...##...######.##...####.###.#.########...#.#....#.#..##.#.#.##...##.#.##..........####.##.##.#......####...###.#######.#......#####.#.#.##.##......#.####.#.#.####.##..#.####.##.#...####....#..###.##..##.####.#.####.....####.#.#.#.##.#####.#.##.#.#.###...##.#........#.#.#.#.#....##..#.#..#...###..#.##........##.##..#.#.########.##.##..####.#.##.###.#.##.#####.##.##....##...#####.##.#.##...##.###.#####.###..#.#######.##...##.##.#.#.#...##.##.#.##.#..#.....#####.#.###....#.##....###..##.##...#######.....#####..##.###...##.#...#..#######....#.#....##.#..##.##.###.##.###.###..##.####.##...##...##.##..##.##.#....#.#.###.#.#..#..###.##.####.#.####....##.##.###.#.#.#.##.#.#.#..######.##.##.#...##.##.#
#.#.###..####...####..........##...#.##....#.####..###.##......###.#.#..........##.....#.#.##.#.....##......###.##....###.#.#.#.#.##.####..####.#.#..#.###.#.###.#.##....##.###...#.#.#.##..###########..........#####....#.####...###....#.#####....##..#..#.#....####.##..###########...#...........#.#.###.#..#######.##.#.#.#.#.#####.##.##...###############.##.######.#.#.##.##........##.#..#.#..#.##.....#..##.......##.######.#.###.#..#.##.####..##.##.#...###.#.#.##.#...###.##......#.##.##.......##.##...#####.#.#.#.##..####..####...##.#.....###.#.#.#####.#.#...##..#.###..#.#.######.#.####.#...#.#####...##...#.#.#.#...##.#.##.#..#.#..####..##.##..###.......####.....##......##.##...##.##.#...##.#.##.#..#...##.#.#....#.#.#.##.....##.#.....######.##.#
#....###.##.##.###.##########..#.###..####.#.#.###..##.#..##.#####.#.######.###..#####.######.####.####.#.#..##.####.##.#########.#...#.######..####.#.#...#..##.#..#.##.########........##.#.##.##.#.#######.##.##..####.#.##.###...###.####.######.###.#.##.#.#.##.######....#.#..#####.######.#.##.#.#.##....###.##...##.#........##......####.#.#..##.#.##..####.#.#........##....####.###..##.#.##.#.#####.##.########.##....##...#.#...##.#.#..##...###.##.##.##.#.....##.##.####.#######....#....#.#.#.#.....###..##.#.....##.##..##..###.###....#####.#.#.#.#.##..#.###.###...####.....##.#.#........##.##..##...#####.##...#.#.####.#.##.#.##.##..##..##.....##.#.########.##.####..#######..###.##..#.##.##....#####.#.###....#.####...#.##.#####..#####....##..##.#
####......#..###.#.#....#.####....##.###.....#.#.##.#..####..#..........##..#...##..########..#.......######.........#..#####..######.#.####.#####.###.###.#.###.#.#####...#..#########.##..#.##.#....#.###.###...#.##......#......###.###......####...#.#....###.##.#.##.##.#...#.##.#...##.#######....#.#####.##.....#.#....#####.###.######.##.#...##....###.##...#.########.#..#.##......##......##.#.#.....##.##.##.....##.######...###....#.#.#####.##..##.##.##.#####.#......#.#.#.##....##...#.####.#######.##..##....#.####..##..#.##.....####....##.#...#...###.#.#.#.#.#.#......#.#..#...####.###.##.##.#####..##.#....#.#...#.#....##.#.#...##.###..##.#####.#.#.#.#.#..#....##.###.##.##..##..##...##..####...#.#.#...##.###....##.##.##..#.###.#.#.#.######....#
#....##.#...###..#.####...#.#####.##.##..#.#........##....#.###.####.##.#..####....##.##.#.####.###.####.#.#.#######.##.#.#.##..##.#..#.#..#.#.##..###.#.......#.#..##.##.##.##.#........#.##.#..#.##...#.#.#####...####.##...#.##..##.######.#......#...#.#####..##.#.##..#.###...#....#.......#.#####.#.#.##...#.###.#...##.....###.#....##.....###.#####.#...####....##.##...########.#.#....#.##......####.##.....#####.##..##..###.##.####...#.#.#.#..##.##....##.###...###.##........########.#####....##.....##.#####.##.##.##..##.#..####.##.##.#####.###.###.#.....#.#.#.########.#.##...###.##.###.##.#..##..#.###...#######.##.####.##.#.##.##..#.#.##...##.........#.##.#.####....#.....##..#.####.##..##....###.#.#.####.##..##.##.##..##....##..........#.#.#.##
##.#..#.##.##.##........#...#.###.##.############.#..#.######.###..#.#....##....##..#........####.#.#.#..#.####.##...........##.##.##...##.#.#.#..##.#...##.##.#...##.....##.##.####.###...##.##.######.#.#.#.#...#.#....##.#.####.###.#.##.#.#.##.#.#.#.#..##.##.##...##.####.###.############.#.#.###.#.#..#.#####.#######..######..#.####..#.####...##.#.###..#.####.##.####.#.#....########.#######.###.#...#####.#.#....##..##.#.#.#..#..###.#.#.#.#.##..#####.##.#.###..####..######..#..##.#####.###.#######.##.#.#....###..##.##..#.##..#.#...#.##.....##.....#####.#...#.##.##....###..###.#..###.####.##.###.#.#.#.###...##..##..#...##.......##.#.#....###..#.#######.##......##.#...#####..##..##.....######.#.#.#.#..##...##.####...#.###.##########.#####.###..#
#########...#..########.#.#.......#...#.#.#.#.#.####....#.##..####.###.##.##.##.###...######..##......##....##..###.#.#.####.#..#..#..#......#.##.##.#########...########.#...#.#..#######........##........#.#####...#######.#....#...#.#..############.#.###..#.####....#.#.......##.##..#.#..............##.##.#...##.####.#.##...##..#.####.##...####.#.#.##.#.##.......##....####..........##.###...##.###..##.....####..#.###.#.#.##.##.##..#.#.#.#..##.#.###.##...##..##.###.#....##.#.##...#.#..#.#...###.#.#..#.###.###..###..#.##..##.#...###..##.#.#######.#.#.#.##.##.##..####..###..##...##....##..##.#.#.#.......###..##..##.#.####.###.#.##...##.#.....######.##...###.#####.#####.##..##..######.##..#.....#.#.##..##.##....#..###.##....##.#.....#.#.#.##..##
#.#.##.#..###.###.##.#######.####.###.#...........#####.#.##.##.....#############...#.##..###.#..#.##.###.#####.#.###.#####..##.##.#########.#.#..##....#.##.###.#.##.##....###.##..#..########.#..#######.##.#..#######..######.#...#.#...###......#.#......##...#.####.##.#######.....##.....#.#######.##..#.##.###....#.#.....##.###.##..##...###..##....#......###.####..####..#######.####.#......#....##..#######..####.#.##..#.#.....#..##.#...#.#.##..#.#.#..###.###.##.#.######..#...####.#.##.....###.#.#.#.##.##......##.##.#..##.##.#.###.#.##..#.....##..#.#...#...#.##.##....##...##..######.####..#.#.#...#######.#.####..#.#.#..#######..##.#####.#.###.#.....##.##.#.###.#.##.....##..##...###...##.###.###.#.##.###.#..####.####.###.####.#####.#.#.#..##.##
#.#..#.##.##..##..#..#.#.#.#####...##.##########.##.###.#.##.######.#.#..##.#.##..#.#..##.#.#.#######.#...#.##....##..##....##...#...........#.#.##..##......##.....#..####.###..##.##..........####............##.###.##.#...#####.######.#...#.##.....##.#####.##..........##..##.###..#.#.###.#........##...##.....####.##.#.##..#....##..#.#####.######.######.#.###....##....##.....###....##.#.#.#.##..##.##.#..##.#.##...###.#.#####.##.#....###....##.#.#...###............##.###.##.##..#.#.######.##........##.####.#####.#..#.##..#.....#.....####.#######...###.###.#.#...##.#..###..##.#.#.#.....##.#.....####...##.#..#.##...#...####.####.##.#.##..###...#.#####...#...#.#.#..##.####..##..###.#.####..##.#.#.#..#.#.#...##.#...#.#.#.#..#...###.........##...#
#.##....#.##.####...##.....###.###....#.#.#.##............##..##.##.#.##.##....#.##.####....#.#.#.......#....####.##.######..###.#########.#.#...######.#.##..#.#.#...##.#....##.##....########..#.######.##.##.............###.#.#.#.##.#.##############...##....######.#.#..##.#######...###...#.##.######.########...##.#..###..##.######.#..##....#.#.#.##.#...#.######.#####..#####..########.#.###..##.....#...##....#..###.#.#..##......##.#######.##......###.######.#.#.#............##.#.#.#.......#####.#.###.#.##.#.##..##.#..##...#####.#####.#...##...###.##........#.####.####.##..#.#.#.###.###..###.#####..#.#..##.#.####...###.........##....##..##.###.#.#####.#.###.#.##.....#.##..##...#.#.###..###.#.#.##.#.#.#.###....###.#.#.##...###.#.##.######..###
#..####.#.##..#.#.#..#####......###.#........#.#.##.##.##..##.#.......##.#####.########..##.....###.#.####.###.....###.#####...#.....#.#.###.###...##.#######.######.##....####..###.###........##.#..##########.####.#.#.#.....#...#.##.....##....########..###.#####...####.#...##..###.###############......##...#.###..##..###......##.....######...#.#.#..###.#.#.##....##...##.####..####....#.##..##..###.###..####.##.##..#...######.#........##...####.#####........#.#.##.#####.###.##.#.#.######.##.....###.....#..#..##.##.#.####.###......#.#.#.###..#..##.###.####.##..#.#####..###.......##...#..##.#..##.#.##.##.#..#.#.#..###.#########.##.####..###.#.#...#.#.......#.#.#..#####.##.###.#.#...#.##.##......##.#.#.#.#.##.#####...#.##.###.#.###..####...##.#
#.##.#.......##...##.#.##..##.#.....##.#####.#########..##..#.#######.##..##....#.#...########.##.######.#.####.##.##..#...###.#####......#...##.#..#..##..#...#.#.#..##.#....##..##.#########.###.#.##.##..##.###....#.#.#####.###.#.#####.######..........###..##..######...##.####..#####.##.####.#..#####.#####.....##.###.#.#.###########.#..##..#.#.#...##.....#..##.#..###..#.#..##....######.#..######....###..##...#..##.###.#.#.#######.########.##...##..#################.#####...##.#.#...#.....##.##...#####.##.#.##..##.#.##...#.#.######.#.#.#.#####.#......##......##..##.##..########..###...###...##.....#.#..##.#.#.##.##..#.#.###....#..##..##.#.....#.#.######.##.....##..##.##.#.#.####.##.#..###.#####..#..............##.##.##.#.#.#.####.#..###.##.#
#..#.#######..##.##....#########.##..###......####.#.######....#.#.....##.####.##.##.##.#..##.....##.#........###..###.##.##...##....##.#...#....##.##.###.##.##.#...#####.#####.#####.#.####...#....##.#..##..#####.##.###.#.#.#.....#.#.....#.######.#.##...##.###....#.###.##.##.#.##.##..#...#.#.##.###.#....####.###..#...#....###..##......######...###..#####...######.##..##...######.##.###.####.#######.#.##.#..#...##....#.#...#.##......#.#.##..##.###.#####..#.#.##.........####....#.###.#####.#####.###........#..##..#.#.####.#...#.##.#.#...#..##...##############....##...#.##...#....##.###...#.####.########.#..........#.##...#.####.##..##.##...#.#####..###....#.#######.##.#..#.#..##...#.##.#.#.#.#.##...#.#.#.#.###.##...#.#..#.#.#...##.#.##...##.#
#.##.#.#..##.########.##.##..#.##########.#.#..#.....##...####...####.##...##...#.#..#..##....#.#......####.#####.##.#.##.####....#.##########.#.##.#.........##.###..#.#..###.....###......###.###.###.##..##...#####..##..#...#####...##.##...#.####.######.....#####.....#.#..##.#.#...##.###...#.#........####......##.###.#.##.#.##.#####.##########.#.##.....###.#.##......##..###.#....#..#.###.#.................####..####.#.###.#..###.##...#.###.##.#.#.##..##.#.#.#..######.##....##....##.#...#.#.##..#.##.#####.#.####.#.#..##....###.##.#.###.#.#####..#####..#......#####.#....###.####.##.##..#...#..#.#..#.##..########.###.#..#.#..#...#..###..###.####.##.##.####.#...#..##.##.##.#.#.#####...##.#.#.#.#..##.########.########.#.#.##.#.#.###.....#.#....#
#.#..#.##.#..##.#.....##.###.......##..#######.###.#..#.########.##.#.####..#.#...##.#.####.#.#.#.#.##.##....##........##.#....##.#.#..........###....#.#.#.#....##..##.#.##.##.####.#.####.#...#...##.....#####.#.########...#....#..#########.#......#..######.##.#...#.#.....###.#.###.#....###.#.###.#.##.#..######.#..##..#..#.#..#.#.#....#.##..#.#.#.#####.###.....####.#..##...#.####.##.#.##..###.###############.##.##.#....###.##.#.#####.##.#.#....#.#..##.#..#...##.#..#.#..########.#....#.#.....###...####.###.#.#.##.#.##..##.####........#.....##.#.##...##...##.#...#.######.#.#.##...##.#####.###.##...##..##.###...##.#.#.#.#####.###.##...##...#.##...##.##..###.#.###.##..##..#.#.#.#.##..###..#.......##.......##..#..#.##....#.##......#..#########.##
#.##.#.#..##..#.#####........###.#.##.##.#.#.#..#..##....##..............#.######.........#########..######.##########.#..####.##.#.#.##.#####.#####.##.########.###......##.##..##..###.#..###.###..###.###.##..#.#.#.##.########.##..#...##.#.#########.#.##........#.#######.##..#.#.....####......#######.#.##.##.....###.##.####.##...###.##.###.......#.#...##..##.##.####.##..###..###.......##.#...#########.............###.##.#.##...##.##.##.#.###.##.#.##..##.#.#######.#.#.##..##########.###.#.#.....#.#.#......#.#.##....##.#.....####.###...#.###..#..###.##########.##..##.##.#.#..##.##...#.##.##...#.#####.#..#.##.##..#......##..........#.##.###....###...##.......#....##.##.##.#.#.#.###...##.#.##.#.##..##.#########......####.#..#.####.#####.##...##
#..#.#.##.##.##.##.#########.#.#.#.........#.##...####.#....############.#.#.#.###.######.##.#.#.#..###.#.....##.........##..#..###########.####.###..####.#.....#.##.###.##.###..##.##..##.#.......##....##.###.#.#.#.##.............##.###......#####......####.#####.###.....###...#####....#####.##.#.##....#...####.##.#.##..##...###..##......#######...###..####..#..#.#...##..##.##.###.##.###.#####.......###.###.#.#.#.....##.#..##.##......#...###.##.#.###....#.##.##........##.#.##.##.....##########.###.###.##.....#####.##...#####.######.#####.##.#.##....#.##..#....##....##.#...##...###.#.##.##.###..##.#.#.##.##..##.#.################.###......####.##.#########...##.#..##..#.#.#.#.#.##.##..#.####.#..###.....########.#..##....##.####.##..#..###..#
#.##.#.#..##.##.##..###....###.####.######....###.#######.#.##..................####.##...#..#.#.#.##.....#.#..##.##.#.#.###.##.#.............#......##......#.#....###...##.#.##.#...##.#....###.#.###.###..#.#.#...#..#.###.#####.#.#..#.#####.##...#####.##....#######.#####.#...####.#..####..##.##.#..####.###.#.#..##......####.##.##..#.#######....###.##..##.###.##.#.##.##..###.....####...#..##.######.#.....#...#.#######.##.##.##..##.#.#.#.#.#....#.#.#.####....#.#########....#.##..####.##.##........#..##########..##....##.##..##..##......##..##.#..####....##.####.###.#..#.##.####.##...#..#.#....##....#.#....##.##....#....##..##......####.##.###.#.##.#.#..##...#######.###...#.#.#.#.#...##.....####.##.##.#.##..##....##.##.#.#####....##.##.##.#.##
#....#.#.##...#.##.##.##.####..##.######...##......##.#.###.##.###.#########.####.#...###.##.#...####.#.#.####.#########.#.#.########.#.#####.#.###.##..#########.#######......##.#.####.##.#######.#....###.....###.#.####.####.####.#.##.###.#.####.#.#.#.####.##....##..#....###.#.#..##.#.#..##.....#.##.....##...##..######.#....##..##.....##..####.##...##..#.............###.#.#####..#####.#.##...##.#####.#.##.#.#####........##....##..#.#.#.######.#.#.#....##.###..#..#.....##.#.#..##.....#..####.#.#...##.##.##..##..###.##...##.##.#####.####..##....##.#####.##.#.#..#.####.......#.#..###.##...#.####..####.#.####...##.###.####..########.#.#..####.#...##...##..###.##..##..#...#.#.#.#.#.##.##..###..##......###....########...#.####.#####..#.##.#.....#
###.##.#.###.##.##.##..#.##.##..#.###..########.##.##.......#..###.##.#.####..#.#.##.##.#.#..###....#.#.#.#......#..#.#........##.#.#####.....###....#.######.#....##.#.#####.###....##...###....#..####.#.#####.##..#..##...##..#.#.....#.#......##....#.#.#..#######.###.####.....#.##......##....###.#.######....####.##.###..##.#..#.##..#######..##...###..##.#####.#####.#.#...#.#..###.#.#...#.####.....##.###########....#.##.#..#.##.#####.#...##.#...#.#.##.####..###.##.########...##..#.#.#...##.#######.##..##..##.#..###...###........##....#.##.#####.##.#..#.....#.##......##.##.#...#.##.#.####...##.##.###.....##..#.##.##..##.##..#.##........##.##.#.####.#####.##...##..##...#####.#...#.#...##.#.####..########.##.##.#..####....#.#..##.##....#.##.####
#..........#.##.#...##....#..##.#.#.#.####..######.###.######.##...#.........##...#..#....##.....#.##.##########.##.#...##.##.##..#.##.######.#####.####........##.##.#.#.##..#.###.##..########...##......#.#.#..##.#.##..#####...#####...#.###.######.#.#...##........#.......#.#....######.##.#.###..#.#.##.####.###...#...##.#####.#.###.#..#.#..##..#..###.##.##.##########.#.###.#.##.#.#.##.##.#.#..#####..###.........##.#.#..##.####..#.######.##.###.....#..#.#..##.........###.###.##.##.#####.##..##.#.#....####..#...##.##.##.#.##.#.#..####....#..#.#.....##.#####.#.###.#.###########...##.#.#.###.###.##...#.###..##.####..##.##..##.#..####.#####...#.#..##..#..##.####..#.###.#..#.##.###.#.##.##.....#.##.#....#.######..##.#.###.###.#.##..##.####..#....#
##.#.####.##.##...#######.##....#.#...##.##.#......#...#.......##.###.#.####..###.##.####.######.#######.#.#.#...##.#.#######.##.##.#....##.........#.#..#.#.####...#.#.#..##....##.###...#.#.#..#.###.###.......###....##.##.####.#.##..#####.#.###.##...###..#####.##.#####.######.#.....#...#####.##.#......##.#.#.###.#.#.#...##......##.#.##.##..#####..#..#.....#.#.....#..#..##.#.#....#.#..##...##...##..##.#######.###..#.#.##.......##.#.#....#...##.###.##.#...##########.##.......##..#####.#.#..##....#.####.###.##.###.....#.#.####.#####.####...##.#.#####...#........#.####.##..#.#..#.##......##.#.#.##.#####.#.###.###..##..##.##..#.##......####.##...###.##.###...###.....####.#..#.##....##..##.####.##.#.####.##..#..##..#.....#.....###.##.#.###...####
#..#.#....##.####.#.#.#.#.##.##.#.#.#.........#.#.##.#.#.#.##############....###...........###....#.##.........#.#..#####.....#...#.##.#.#####.##.###...######.####.#.#.##..###.###.#.###.#...####..######.#.#.###.##.#.#...#.#....#....##.##.....#..##.#.#.##.##....#.....#####.#.#######...#..#.#.......#.##......#.###...#####..###.#####.#.##..##..##.##.##...#.#...#####.##.#.##..#.####.....##..#....####.##..#.##....#...###########.#....#.####.##.#####.#.#..###..##..##.....##.####.###..##.......######.#.###..#......##..#####......#.#..#..##...####.#..##.###...##.#.#....##...##.#.#.##..###.####..#.#.##.#.##..#.....#.##.##.###..##.#..#####.##.##..##.###..##.##..###.#.#####..#.#.##.#####.###......##..#.#...##..##...####.#####...#.###.#..#.#.#.#.####.#
####.####..#...##.#...#.#.####....##########.#######.#########.#.#.#.#.#####.#.##.#.###.#.##.##.#...############.##.##..###.#...#...####.#.#####..##..###.#.##.#.#.......#.##...##..#.#.....#####..##.#..#####.#.#.##.#####.#.####.##.#.#..######.#.##..###.#...##########...#.#.#.##.#..######.....#.##.########.#.#.#.###..#.#..##.....##..#....###.##..#..##.#.#.#.#..#.##.#....###.#.##.#####.########..##..#..##..##.#######.#.#.#.....##.###.##.#.#...#.#..#.#.###..####..#####.#####.#...##.#######.##..........##.####.#..#.##.....#########.##....#....#.#.###..####.##.######..###.##.#.###..##.#.#.#..##.........##.#####.#..#.##...##.##.#.##.#......#..##......##..#..##.#.#.....##.#...##.#.#...#.##.#######.....#..##.####..##....###.#####...##.#.#...#......#
#....#####...####.###.......###.#.##.####.####.###.####.#.#....................########.#.....#####..##.##........#.#..##.####.######.#..........##..###...........#.#.#....#.#..##...#####.#.#.##..#.#.###.#..#.......#.#..#.#.#...###.##.#.####....##.##..#.#######..#####............###..#####.#######.##.#####.#.#.#.#.##.##..##.#.####.#.####.#..##.#.############........##..##.#.##.#.......##.....####...####.#####.###......##.#.##....#.##...##.##.##...#.#.##.#.#..##..##...#.#.#.#.#....##.....########.###..#.#####.#..##.#####...##.#.##.####.####.....##.#.########.#...##.#.##...##..##..#.#.##.###.#########...##....##.#..#.#..##...##.###.##.#.######.#.##.##.##..#...##.##..#.#..#.#.###.#.##.......##.########..##..#####.##...#...###.##.#.#.###.######
######.....#..##..#.######.##.###.##.......##...#..###..#.#####.#.########.###...#.##...#.###.##.##.###..######.#.....##..##.#....##..###.######..####.########.##.#.######.####.####.##....#.#.##.##.#.##..##.#####.#...##.#...###.##...#.#.#....##.#..###.#..##.....##..#..##.######.##.#.##.#######.#......#.##..#.#.#.#.##..##.##.#####..#.#..#.##.#..#.#.#######..##.####.##..##..#.#..#####.######.#....##.##......#.....####.############.#..###....##.####...#.#..#.#.####..##.##.#.###.##.######.###.....##.#.##.#..##.....##...##.#.###..#.####.##..######.##....#.#..##....#..#.#..##.##..####.#....#..##.###..##.##.##..#####...#####.###.##.......###.##..##.#.#......##.#.#..####.####.##.#.#.....#..########.....##.#.##..##..##..###.#.#####.##.#.#.#.#..##.##
#......######.###.#.###....##..#..####.##.#####...##.##.#.#.#...#.#.........####.#..########...#......##.##.##..#.#.#.###.##.#.####..##.####..#####.##..#..##.#..#####...##.##...#.#..#####.#......##...##.##..#..####.####.###.##.....###...#######...##.#...#######.###...#####......#.........##.#....#.##....##.#.#.#....##.#..##..#.#..##...##.##.#.##...#.#.#.##.####....###.###.#.##.#...#.#.#.#####.###...######.#####.......####.#........##...##....#..###.#.##.#.#.#.#..##..##.#.##..##..#.#.#...#####.#.......#.######.#####........##....##...#.##...##.#..#.##...##..##.##...##.#...##..#.#.####.##.##.#...###.##..##..##...#.#..##..##..######.##....#.##..####.#####..####..##..#.#..#....#####.#.##...##...#####.....#.####....##.#....##...##.#.#...#.##...#
###########.#.#.#.#.#.####.###.##...####..##....#..#.#..#.#...###############......##..##..###.##.##.##......#.####.#.....##....#.##.##.##...##.#.#..##.##......####...#....####...##.#.#...######....#.#...##.#.##.#..##.#...#.######...###..#.#....###..##.######...#.#####.....####.###.#.#.#..#.##########.#........##.###..##....##.##.#..####.#....###.##.#.#.##...####.##...#.#.#..#.###.#...#.#.#.#.....###.#......#.#.#####..##..#####.##..#########...##.....##...#.#.##..#.###.#..##.##.##.....####.#..#######....#.##...##...##.###..##.######.#.####.#....#######..#####.###.##....#####.#.#.##...#..#..#.####..##.##..#####.###.##..###.##.......####.#..##..#.#....###..##..####.#.##.#.#.##..#.....##.###.#..#.#..##.##...#####.##.#.#######.#......###.##.###
#....##...............###..#.#.#..###.###.########...#.##.##.###.#.#..........####..##.###.##..#####..#####.####.########..###.##....##..###.#..#.##.#...###.##.#....######.#.##.###....###.#....####.####.##.....#...###.###.#.#.##...######.#.####...##.#....##...#.#.##.###.####.....#########.#.##.##.##.######.#.#..#.#.##..####..#.#..#.##..#.#.####.#.#..#.#..##.##.#######.#.....##.....###.#.#...#####.#.#.######...###.#.##..#.##...####.###.#..###.######.#..###.#.#..##...##..#.##..#...##.##..#.#.##......#..####..###..###..########....##......#.#.####...#..###.###.###.#.####.###.#.......###.##.##.....#..###..##...#.#..##..##.##...#######.##.....##..##.#.####.##..##..##..#.##.#.#####.#.######...####...#.######.###......#......##.#.#.##.#.....##...#
#.##....#####.##.##.###.#.##.....###.......##.######.#....####.......#.#.###.###.##.#..#.#.#..##.#.#.##.##...##...##....##......#.##....##.#.#.##....#.#####.#..#.#.######..#.##...###.##.#.###.##.....##...#####.#.#...#.#.......####..##.##...#.#..###..##.###..###.#.##..###########.#.#.#.##.....#.#...#.##.#.######.#....#.##....##...##..##.#....#.#.#.##...##.##......#...#.###.#..#####.#.#.#.##.##.##....#.#.#.####.##.....##.#.####.##.#.#.#.##......#.#...####.#.#.#.##..#.###.#.###...########.#....######.##.###..##.##.....####.##.##.#########.#.#.##...#...##.......##..#.#........####.#####..#.....#####.##...###.###.#.##..##..####..##.....####.#####.##......#.#..##..####.#.##.#.##.#.....#.##..###..#.###.#..#.#.#.######.##.#.#.#.......###.#.###..###
#.###.####.##.#..#....#.#.######...##.####..#.#.#.##.####.#.##########.#######.#......##.#.#.##......#..###.#####.#####..##.##.########..#.....#####....##.###.####.#..#.##...#..#####.##....#...####.####.##.#.#.#####...#######..##..##..#..#...##.#.##..#...#####.......##.##....##..#.#.#....###.#.###.#.#.....#.#...#.####.#####....#####.##.##.###...#.#..####..######.###...#.###.##.##..#........##.#####.#.#.#.#....######.......##............#.####...###..##........#####..##.#..####..##.#..#.#.##....##.....#.##.##..#.######.#.##.#....#.#.....#....##.#############.###.#.####.######...##..##.###.#####.#.#..####.........##..##..#...#######..##..#.#.#.##.#.#.##...####...##.#.##....#.###.###.##.##.##.#...#.#.##......##.##.##.#.#######.#######.....##.#
###...##......##.####......##.#..#..####.##.......#...##....#.##.#.###.#.........####.##.....#######.#.##....##.#...####.####....#.#..##.#.#.#..##...##.#...####.#####....###...##.#.#..####.##.##....#.##........##.###.##.#.####..##..##.#.####......###...###.#.##.####.##..####.###.#.#.#.#.###....##....#####...###.#..##...##.##.####.#..##..#.#.###...##.##.##.#........###....#...#.###.#######.###..###......#.####.#.#.#..###.#..##.#.#.##.##.######.#..#..####.###.###.##..##..##.#.##.###.##.#.######.##..###...##.###.....###..#.##.#.####.#####.##.####..####..#..##..#...#.#..#.#.##.###.##.##..#.....#.#.#.#.##..###.#########.###...####.#.###..##.#...#.##.########.##.#.###..#.##.####.###.....##..#.##.#.###...####.####.....####..#..##........##.#####.#
###.#.#..###.#####....#.#.##..#####.##.#.###.##.#.###.#####...#....#.####.##.##.###.#.######.........#..####.##.##.##.##.#.##.##...#.###.######....#..#####.#.#....#.##.#.....#....#...##........####.#..########.##.#.#.#....#.###.##.###.###.#######...###.#.#....#####.....###.........#.#####.####.#####.#.#.###.#...#.#####.##..#.#.#..##....##.#..##.####.##.#..###.####.#.####.###.#.#.#.##........##.#.######..............##...##....#.#######.##...####...###.###....##.#..####.##.#.##.##..#.....#.#....####...####..##.#####.##.#..#.#..##..###.#.#.....##....##.##..##.###.#.##.....##..##.##..##.###.###.#......##.#.#.#...#.#.#.#.#.#####........###.#.###..#..##......##.#...##....#..#.#.#.#.#######.#.#........#..#.#....###.#..##..##.##..#.############..#
#.########.....##..##.###..##.#.##..##.#.#.#.####.#.....#####.##.#.....##########.....#.#..#########...###.#.##..........#....####...#.#.##.#.######.###.#..#.#.##....###.##.#####.###.#####.##.##.#..#.###....##......#.####...#.#..#.#.#..##...##.####.##..#.####..##.#####.#.########.##.##.#..###...#.#....#.#.....#....#.#..###.#.#...###.##..#.#.###..##..##...######.#.......#.#.#.#...#.####.###.##.....#.#.########.#########.######.#####.#.#....####.###..#....####..#.##..##..#..#.#...##.#####...####...####.#.#..###.####...#.##.#.#.####.#.#.#.##.#####.####...##....#.....####.#.#..##...##.#..#.#.###.#.#.##.#........###...#.#...###.##.#####.##..#.#.#.##.########.##...#####.#...##...#.#...##.##.#...##.#.#.#.##.#.####.####....###..#.##..##.#.#....##.#
#.##.#.#########..########.##......##..#.#.###.##.####.##..##.######.#..###.#.#######.#.#.##...##....###......#######.##.#.##.#.##.#...#.##.#..#.#.......##.#.#######..##..#######.###..#.####...#.##.#.#.####..####.#......###...##.....##.##.#..........##....##..###.##.......###.#.#.#..#..##.#.###.#...##...####.###.#.#.##..#......###.#####.....#.#.##..####.##..##....###.#.........#.....##.##...####.##........#.####.#.##.####.###.###.#.#.####...#..####...####.###.#.###..##.##.#.###........#.###....###......#.##.#....##.##.##.#....##..#.#...#...###...#.#.#######.###.#.#.####.#.##..###..##...#.....###.#####.###.###.###...###.#.#.#####.....##.#.#....#....##.#...###...#.###.####.###...####..#.#.#..#########..#...##....####.#.##....#####...###.##..#
#.............#..##.....#.....#.##..##.#.#.##..#.....#.###..#..##....####.....#.##.##.....####..####...#####.###.#.#####.###..#..#####.#.#..##.#.##.####.##.#.###...##....###.#......##.#..####.##....#...##.##...######.####.###.####.#.#..#######.###.#....####..###..######.###.......##...##....#.#.########....#######...###.#.####..##.##..###.###.#..##.##......#########..###.####.#####.########..##...########.#.##.#....#.##...#.###...#.#.##.###.##.#..##.####..#.#.#...#.##.......#.########.....####.#.##.###.#.##.#.####...#..#.##.#####...###.#.###.##.##.#.##..#...#.###.#.#.#....###...##.####.#.######....##....#..##..##.####....#.#.#.#####.##.#.#.####.#####.###.#.#.###..#..#.#..#...#....##.#.#.##...##.#####.#.#####.###....#..####..#..#.###......##
##.#.#.##.###.##..###.#...###.#####.#..#.#..##.#####....###.#.######..#.#####.#.#.....###..#.##..#.###.#.#.#.#.#...#.#...##..###.#.......##.#..#.#####....#.#.#.###..####.##....####....#.##.#.....##...###...##.##.#.#...##.......##..####..##.#.###.######.#.###.#.##..#.###...#######.##.#..##.#.#.#.##..##.###.###.##...#...#....#######..##.#...#...#.###.###.###....###..##.##..###..#.....##.##..##..##.##.###....#..#.####.#..#.#....####.#.#.#......##.##.##.##.##.....#.#....#####.#....####.#####.##.##.#..###......#.#.#..##.##.##.##..##.##.##...#.##..#..##....##.###...##..#...####.#.###.##.#.##.#.#..##..######.####.###..#.##.####........###...#.#....##..#.##..##..#.#...##.##...##...####.###..#.#.##.#.##..#.##.#..#.##..#####...###.#.##.##..#####.####
#..########......##...##.##...##.##.##.....###.###...##...#.#..#.#.##.#.#.........#.######.#.###.#.#.#.........##.##.###.#####...#######.##.##.#.#.#.####.#...#..###.#.####..#.########...##.#######..#.#.#.#.#.....#.###..#####.#####..####.##.#.##..##.....#.#......##.#.#.##.##.##.....####..###.#.#.##.##.......#...#######...##....#.#..###.###...###.##...##.#####.##.##.####..##...###.##.......###.##...#.#.####.##.....##.#.#######.#.#......######.......##..#.######.####.####..#####.##..#..#.#...#.#..#.######.#.##...#.##...#.##.###.##.##..###...###.##..#.#.###.#...#.###.#.####...#.#.#....#.##.....##..##.##....#.###.##...##.##.#.#.######.###.#...#.###.##.###..##.#.#.###...#.#.##.########.##......######.##.#..#.##.#..##.#.#.####........##..##......#
#####.##.############.######.##..#...#####.#.#.....#.####.#.##.#.#.#..#.##.##.#.#.###....#...#.#.....#########..#.##.###..#.####.........#.............##.###.#.##.#.#.#.########.......#......###...####.#.#######.#.###.##.#.#.##.###..#.#......###..#####.#.###.##...............####.##..##.##.......#..####.##.###.##.#.####..##.###.##.##..#.#.###......######..##.##.#....#..###########..#.#.###...##.#......#....#####.#.....##..#..#.######.##.#.##.##.#....##.#..#....#....##..####.#..##.##.#.##.##.##...##.#.###.#..###..##.##.....##.#...#.######..##..##...#.#.#.#####.#.#......###.#.#.#.##.#.####.#####.##.#####.#..##.##.####......####.##....#.#.######......#..###.#.#...##.####.#...#..#.#...###.#####.##...#.#.##....#.##......##.###.##.###..####.#####
#.##...........###.####.##.#####.###.###...#.##.##.###....#.##.....##.#.################.###.#.####.##.#.###.##......#.#.##.#.##.#.#.###...#.#.#.###.#..........#....#.#.#.##.#...#.##.##.#.####.###.#.##....##.###.#.#...##.#.#.##..###...###.##..#..##..##...#.#####.##.#.####.##.#.....##..#..#.#####...##.####.......#....#...#####...#...##.....#####.##....##..##..##.####...##...##.#..######...##.##########.####.#.#.#...##.####.##...##.#....#.#.#...#.#.##....##.##.#.####..#.###.....##.......##....##.###..#..#..##.#.##.##.##.###.##.##.##..#.#...###.##..#####.#..##...#.##.#######.#.#.####.#..##....##......#.##.##..#.#.....####.#####..#####...#..#.#.##.##.##.###..#.#.#.....##....###.##.##.###..###.#..##.##.#....####.#####.#..#.##..####...###.#..##.#
#....##.######.#.#.#.#......##.#.#.#.#.###....#######..##.#..#####.##.#..##.#..#..........##.#.#................####.............#####...#.#.#.###...##.##.#.##.####.#.#.#.#....###.#..####.#.#.........##.###..#.#...###..#.#.#..#.##...###.#####.##..##....#....#.###############.#####..##.#.####...###.....#########.####.###.##..#.#.###..#.###.#.#.####.######.#..##...##########......##.####.#.#..##.#.#.##....##.#.#.#####..#.#...###.##.##.#.......#.#.####.#####.####.##.##.#.#.####.#########.#####.##.####.##.##.#.....#.##.##...####.##.##.##.###.##...##.#.##..#.#####.#.#..#.###.....#.##...#.####.#####.#####.##.##.##.###.###..#.##..##..##.##.##.##....#.#.......##.#.#######.#..####....#..#.#.##...#.#.##...#...####.#...##.####.#..##...##.####..#.###.#
#.############.........####....#.#.....#.##.#..#.##.#####.#.##.##...#...##..##.###.#.##.#........###.###.###.#.###...####.#.#.#.##.....###########.#.##########.##.#.#.......#.##...##.#......#####.#.#.#....##.....###.##...#.#.##..##.##...##.....##..#.#######.#.#.#....##........#..#.##....#.###.##...#.###...##....##...###..#.##.#.....#####....#..##.....##....##..###.#.##.#...####.....#.###...##....#..####.#....#.#..###.#.###..##.#...####.#.##.#.###....##.#..#.#...#.#.......##....###.#.#.#.#.#..#.#.#.....##...#####.##....####......##..#.##...###.......##....##.#.#.##...#.#####.#.####...##.....##.....##...........##.#.##...##.##..##...#.##....####.####.#####.#..#.##.#.##....###.##.##....#.###.#..#.###.#......#.#....###....##..###..##.##.....#.#
####...........###.#########.#...##.##.#.#####....#..##...#.#...###.###..#.###.#######..##.#.#.#.#...#####...###...###....#.###..#####.#..##.......###.#.##.....#....####.##.##############.#.#.....###.#.########.##...####.#.#..#.##...###..#####.#..######.#.#.#...#.##..########.##.#.#####.#.#.#..#####.#.##.######.####.#...##..######.####.##.###.##..##.######.###..##......######.#####....####.#####.##.##.#.####.#.##.#...#.##..##..###.##...####.#.######.##.##...###.#.####.######.#.......#.#.#.##.....#.###..###....##....#.###.###.##..#.##..##.########.####.#####........#.#..##.#.#..#...######.####.##########.#.#####.....##.###..##.####.#.##.#########.#..#.#.#.#.##.........##..##..#.#####....##.##.#..##.##########.####.###.###.##...##...##.####.#
##.#######.##########......#####.####......######.#.#####...#.#.#.#.####...##..#.###############.###.#.....###...#.####.#.#.##..##.....##..#######.#........###.##.#..#####..#...###.##.#####.####.##...#..#.##.....###.#....#...##..##.##.##.##....##..##......#.###.#####.............#.#.##....#.#.####......#..##.#...#.#.###.###..##..#..##..##.##...##..#####.#...##.#######.###.##...#....#.##.##..##.#.##......#.#.....#.###.#.##.##..##....###.##.#####.#.....#.####.......##...##..####.###.#...#....###.#.######..##.##.##.######.....#####....##.#..##.##.#...##..#.##..##.##.#####......##.###.##......##.....#.##..###.###.##.####....#.##.........##.......##..##...#.#....######.##..##.#..##.#.###.#####..#.#.##.......#.##...##......##...###..##.##..##.#.#
#..#..####.#......#.####.#..#.....########..##.##.#.#.##..#.###.....#..###.###...#.#.#.#.##.#.#....######.###..###.#..#.#.#..##.######..##..###.#######.##.###...####...####.#.#........#..#..#.#######...##.######.##..####.###.##.##...#.##..####.###..######...#.#..##.#############.#.#.#####......#.######.#.##..#.#...#.##....##..##.#.##..###....#####..#.#..##.###..##..#..#.#..###.####.#.......###.#.#####.#...#####.........##..##.#####..####....##....###.....########..###..#.##..#########.####.#...####...#.##..####.......##.######...#####...###.#....#####...###.#####.#.########.....#..##.####..##.####.##.##.............#.##.#..#######.####.#########..###.....#####.....#########.##.#.#.#...#.##.#.#.##.#######..###..##.#.#..#.####..##...##..#.#.#
##.#.##....#.####....#.####.#####.#.#......###......#..####..#..###.#.###....###.#.....#.##.#.##.###......#...###..##...###.##..#......####...#...#.##..##.#...#..#.#.###....####.#####.##.##.#.#.#.#####.##.#.#.##..##.##.#......#.####......####..#...####....#.#.#.##..#..###.#..............###.##...##..#.....##.#####.#..###.##..##.....#.##.####..#.##.##.#.##..#.##..##.##.#.##..#..#..####.####.#.#.#...##..###.....#######.#####.#..#.##..##.#..################.#.###....#####...##.####..#.#..###..#.#..#.###....##...##.#######...#.#.###.....###.#.#...##...#.##.##.###.#......##....#####.#.######...##..#....##..##.#.#####.#.####..#.##.#..##.##......##.##..####.#####.#.#####.#.##..#.#.##.#.#...#...##.#.#.##...##..##.#.#.###.####.#....##..##.##..##.#.#
#....###############....#.#.........##.###..#..#.##.##..####.####...#.#.###.##...#####......#.#..##..##.####.##.###############.######.#..###...#......######.###.......##.#####..#.....#.............#......#.#.##.##.....#.#.##.#..########..#.##.###.#..######.#.#..##.##.....######.#.#.#.#.#######.####.#####.#...#......##.#..##..#.##.##..#.#..##.#.##....#.###.#.#..###....#..##.##.##.##...#....#.#...#######.#####.#.##.#..##..#.##...###.##...###.#.#...............####..#.#..####..#.##.#.#.##...#####.#.#.###.##..###..###...##.##.#.##..###.###.#.#######.##.#...#..##...##.#..####..####.#..##..###..#.##.####..###.###..######.###....#.##.....###.#####..##.##.....###.#.###...#..##...#.##.#...#.##.##..#.#.##.#####..#.#.#...####.#.#.####..##..###.#....#
###.##.#.##.##...####.#...###.#.#.#.#######.####.#..##.##.##..##..#...#.#.#.####...########...####..#####........##...###.##..#####.#####..#######.##.##..#...#.######.#####...##.#####...##.##.##.##...#.##........#####.######....##........##.#...#..#.###.##....#.##..######.##.#...#######.#.##....#.#........###.####.#..#.##..#.####..##.##...##..#.#####.....#.#.##...####.##.#..#.....#######.#.....#.##.#.#..##......#....####.#.###.##.#.####.#.#.#.#####.###.#####....#.##.##..#.##.#.##......###...##....#.#.#.###...##...###.##..#.#.#..##.###.......##..#..#.###.##..#########.##.#.##......####.#.##.#.#.....##.#.#..###..##.##...####.#..####.####.#.##..##...##.##.....#...###.#.#####...##.#.##########.....##.#####.##.#...#####.........##..##..##...##.#
###.##.#.#...###...####.#..########...........##.##..#.#...##.#######.....#..####.##......##.##..####.####.#.##.#####.....##.##.......#.##.......########...###.####.#..#.####.####.....#.#####.#########..##.#####..##.#...#.##.#.########.#.##.###.##.#.##..#####.#.#..##.##...##...#.##........#####...########.#...#.#####....##.#..##..##..####..##.#..##...#.#.#...##.###.#...#.##.##.##..#.#..######.##.#....##..######.####.##.#.#..##....#..#.#.#.#.#...##########....##...##.##.##..#.#..######.....###..##.......#.#.###..####..##.##.#...##...#######.####.##.#.#....#.##.##.##........######.##..#.#..#...#.######...##..###.##..##.##......##.##..#......##.####.#...#####.#.####..#..##.#.###.......#..#.#..##.##..#.##..##...###.#.####.##.#.##.##..##..#.##.#
#......#.#.#####.#..#...##...#.#.####.######.#######.#.###.##.#.#######.#...##.#..####.##.....#.##.#....##########.##.###.##..##.####.#....#####....##.########.#......##.#.#...##..#.#.###.....#...########..#.....##..##.##..###.#####..###.##........#.##.##.#.#...#.##..##.#..###.#######.#.#...#####.##.#...#.##.##.#.######.##.##.##.####..####.##.#.####.####.###.##..##.###.#....######.#.##..#...#.#######.#..##.#.......#.#..#.##..####.##.....#...##.##.##..##.#########.#.....##.##.#.###.....#.#.....######.##.....#.##..##..###.##.#.#....#..##.#.#.#.#..##.#.####.#.##....#########.#.##....##...##.#.###..#.#.#.####.##.#.##.###..######.##..##.#.#######.#.##...#.##..###.##.##...##..#.##..##.#.##.##.##.#...##.#.##.#####.#.#.#.##.#.######...#.###.#######
######...#..##.####.###.####.#.....####......##.##.....#......#.#.#.#######..#.##....#####.##.#.#..####.#..###.##.....#....##..####.#.######..#####..#.#.#.#......#.##.##.#.##.########.####.######.#...#####.#####..##.##..#.###...##.#.###...###.####....#.##.#.##.##..##.####.##.####.#.#######.##.#........#...##.#.....##.#.....#..#..##...##..#.#..#..#.###.#.........###..#..###.##.#..#....##.###.#..##.##..##.##.#######...##.#.##.##.#..######.#.###......#.##....#.#.......###.##.#....#.#####.####.##.##.##..#..#.#....##.#..##.#.##.####.######......#.##.##.#.###..#.#####.#.##........#####.##.###.....##.##......##...#.#..#.#.##.#.##.#....##.....#.#.#..#..###.####.##...##.#..#####.#..##.######..##.#####.##........##.....#.#.##.#.#.#..##.##.#.#......##
##.#.###.#.##..#......###....#####.#.#######.##.#..#.#.######.#...#.#..#.###...####.#########.#.##.#.#..#.##....####.##.##.###..##..#.##..###.#.####.#.#.#.##########.....#.#...##.#.#.....###...#..###....######...##...##.#.##..###.....#..###.#########.#.##......##.##...##......##....#..##.#.#..###.#######.###.##.####..#####.#.##.####.####.#.##.#.##.##..####.####...##.##..##.##.##.##.###......##..#.#..##..##.........#....#.#..##.##...##...#...####.#....####...###.#.#.#........####..#..####.#######.#..########.###....###.#.##.##.....##.####.###.#..##.#.#.##....##.#.#.####.####........#.#.#.#####..####.#######.....##...##...##.#.#####.#####...##...##....#.#..##.###.##....##...##....#.###..#.#.#....#.#########.##.##...##...#.#.##..##.#.#.####..#
#.....##....##.######..#####......................####.##.###...#...##.#.....#..##..##.##........#.#.##.#.####.##.####..##.#.#.####....#.##...#......#...#.##.........###...##.##..#.###########.##.#.###.##.##.###..###.##....##...#####.##.#.#.##...##...#..##.###....####.####.########.#.##..#.#.#######.###......#..#.#..##.......##..##..#.#....#.....#.###.##.####.#.###.....##..#..##....#...####.###.#.##.##.##..#####.#.##.#.#.##..#..###.##.#...###.##.#.##.##.##.##.#####.##.#####....##.#.###.#.#...#.#.#######.#.#...##.###.#.#....###.####..#.#..#.#.##.##.#.#.##.####..#.#..#.#######.##.##.........#.##..#.#.#..##...#####..######....#.##.#..###...####.####.#.##.#.##..##...#.####..#####.#.....#.##...####....###..#.####.##.#.##.###.#..#.##..#.#....##.#
#####....##.##..#.###.##..#..##.##.#######.#.#.####.......#.###.##.##..####.###..#.##...########.#...##.#..##.....#.#..##.......#.####.#.####.######.###....#.#.##.####...#..#.##.##..##..##.#.#..#.#.#.............##....####..##.##.##..#....#.####.####.#.#########.##.##...#..##.#.#......##......#..#.#.#.######.##.#.##..#######.#..##..##.####...###.#..##.##.##.....##..#.#..##.##.#####...###.#........##.#...#####....#.#..#......##.##....#.###.#.#.######..#.........##...##.#...##.####...##....###...#.##..#.#.#.#.###...##.#.##.###...#..#.##.##...#.#..##.#.#..#..#.##.....##.##...####..##.#.#####......##.#.#.##..#.....##.#.#..####.#..#.#.##...####.#..#.###......###..###...#.#..##...###.#####.#..####...####.#.##.##....###.##.#.#.##....##.....#######
####..####.....##.#....##.####..####..##.#############.##....####..##.##.####.##....##.##.#....#...#....#.##..#.#...#######.###.#.#.............#......####.########....####.......##..##.#..#.##.......#.#.#.#####..###.##..##..#..#..##.#.##.#.#.#..#.#.....#.#..##..##..###...##..#.#.####.#######.##.#......###.........#.##.###.....####....#..###...###.##..##..####.######.##.##.##..#.###.####.#####.##..#.###...#.##.#############.##..###.####.......#.#.###.###.##.##..##########.##....###..####..####.#.###.......#...###.......#.#.###...##.##.#..###.##.#..#...##.##..####.##...##.##.##.##..###..##.#######.#.#..##.####.##..#.#.##....#.##....##.##..#.##.#.##..####.#.#.##.###.#.##....####...##.#.##.##.###.##...#.##..####..#.........##.####..#####.##.##
#..###########.##.###.##....#####..##.#..##..###..#.##..####.#.###.......#.#.....##.##.##.####...####.#....##.###.###.#..#####......#.#.#.#####...###.##.....#.#.##..##....#######..#.##..##....#########.#######...##......####.##...##..####.#.#...##.#.#.#.#.##.###..##..####.###...#.#........#.#......####.#.#########...##.#.###.#.#..#.####.##.###..#..###..##...#....#######.....##.#...###...........##.......###.#####.#.##.#.##...##......#####.##.##.#......#########..###.##.....#.####...##.##.##.#.....####.#.#.##.##...####.##...####.###.#..##.#.#.##.##.###..#.##.###.#.###.###.##.....#######.##...##.#......##..####..##...#..####......####..###.#.##.#.#..###.###.#.#..##..#.##.####.#..#......##..#.#....#.###.##.###.##.#.#########...####.#.#....#..#
##.##.............#.#..####....##.##..##.#..##.##.#....###.#.#.#.##.####.#.########.#..##..###.####.####.########.##..##.#.#.#####.####.#.###.#.#####.###.##.....#..####.######.###...###..####.#.###.#######.....#..######.##...####..##.##...#.###.##.###.###.##.#.##.##.##.##..#..########.#.#.....###.##......##########.##....#.#.####......#.#......##.##.#.#####.#.#.##...##..#.#..#.#.#########.#.#####..#.#.#..##..##.#.#.#.....##.##..###.##.#....####.#####.##.#..#.##.##.#..#####.#.##.##.##..##.##...###.#.######.....###...######.##.##.#.#.##....#.#.##.#..#.##...#..##..#..##.#.#..##.#####.......#.####.###.#####.##..####..#...#######.##..####..##...##.#.##.#....##.#.##.#..##..#..#.#.#.#########..##.####.#.##..##.#.#.#..#......##.##.##.#......##...##
#.....#.#.#.###.#.....##..####.#..##.##....##...#.#######...........#....#.##.####..##.##.##.####.#.###....#.##.#..##.#.......####.#..#####.#.####....#.####.#.#...###.###.#.....####.#.##.##.........#..##.########........###.##..##.##..###....##.##.##..##..#..#.##.#..#..###.#.##.##.#...###.##.##....####.#............###.#......#.#.#.##.#.####.#....##....##.....#####.##..##.##.......#.##.########.##.#.####....##........#.#.....##.######.###.###.#.#......#.##...#.......##........#.##..##.##..######...........#.#.#...###.##...#..##.#.#..#.##.#.#..#.##...##.###.###.##.###.#.#.###.##.#..#####.#..##...##...##.....#########.##........####.##.#####.##.#.#..#.####..#.##.#.####...##.#......#.#.###.#...#......##.#..#...##.#.######.....#..#.##.#..######
#######.#.###########.##.##.#..##.#..#####.##.#.#.###.....#.############...#..#..##.##.....#.#........##.#.#.#....###.##.####.#......###.#....##.###.##..#.#######.#.........###.#.#.....#..####.#.##...##.....###.#.##.#.#......#.##...#.##.####.##.##.#..####.##....#.##.##..#.....#.#..##############.########.##.#######...########...#.######....###.########.####.###..#..###############.#.##..##.##.#.##########.###########.######.##.....##..#.#.##..#.#.####.#..###...#.###.#########.#.#..##..#..###.#.####.##.#####.#####..##..##.##.##....##.####.#.#.##..###.##.##..##..#......#...#.####.#.####.....####.##..#####.#####..#.##...##.####.###.#.....##...#....#.##..##..##..#.#.#.###.###.#.######.#..##...#...#.#####.##...####........#####.##....####..###.#
###..########.###...........##.##...##.#.#.####...#.##########...##......#.##...##.....###.#.######.######.#.###.###...#####....##.###.#.###.##...#...##....##..##.##.########...#.#.##.##.##.#########.######.......##.#.######...####.#.##......#..#..##.#..#.#####.#.##..##.####.##.#.###.#..##.##.####.#...#######.....###..##.#....###.###.###.#..##.##..#.#...#...#.##.#.##..#.##..#.###.......##...#.#.#.#.#..#....##.##.##.####......###.#####......#.##.#####....#####.##.#....#.###.#....##..##.##..#..#.#..#########...##.#.##..###.##..##.####.##.#.#.#..##.........##..##.######.##.##..##..###....###.#.#...##.#.##......##...##.#..###.#...#..##.#######.####...##.####..##...#....##.##......#.#..#.##..#####.#.#.##..####....##.##.####..##.#..#.###.##...#.#
#.##...#.##.#.#.########.##.....###.#....#...####.#.##.###.#.###.#########....#....##.##...#.##.....#.#.#..#.#.#...###..#..###.#####.........####...#..####..##..###..###.###..#.....#...#.#....#.#.#....#.########.########...##.##.#..#.#######.##.##.##.##.....##..#..##.##..#.#..#.#.##..##.....#...##.#.#.#.##.#..###.#.#.##..####.###...#...####.##..##.#.###.###.#.##.#.#..##..##.....#.#.###..###...#.#.#.##.####.....#.....#.##.#.#...#.....###.##....#.##..###.##..########.#.#.#.....##.###..#.###.##.#.##.##......###.......##.##...##.##..##..##.#.#.#.#########.###..###.##......#.#..####.##..#.##.#.#...###....##.####..###.#####.##....#.#.##.......##.#..##.###...##.#####.#.#.##..###.##.##.#.##..##.##.######.#..##....####..####.#..##..##.###.#..##.##.#
#..###.#.##.#.#.##.##....#..###.......##...#....#...##.#.#........##..#....##.##.#.#...###...###.##.#.#.##.......###.#.##.#######..#####.#.#.#.###.###.#....###.#######.#.#.######.###.#.#.####.#.....##.#.#.##.#.######.#.###.#...#.##.#.#.#.##..##....##..###.#####...##...##.#.#.##....##.#..###...###..###.#.##.#####.......##.#......##.##.#####...#.###.#.##..##.....#.#.##..##.###.#.#######..##...#........#.#..#####.###.#...######.#.#.##########.##.#.###.##...##..#..##...#.#.####.##....##...#.#.#..#.##.#####.#..#######.###..#.###...##.###.##.#.#.#..##.........##.#.#..####.#.....##.....#######.#...#..###.###.....#.##....##.#.###.#.#...##.#######....##....#.#.#...#.##.#.#####.#.###........##.##......#.##.##.#####.#..##...##.#.####.....#....######.#
#.##........#.......############.##.#..###.####.###..#.#.########.###.#######.##.###########...###......####.#.#.##..#.#..#..##.#.##..##.#.#....#####....##.##..##..##.......##..#######.#....#.########.#.#......##.##........###..........#.###..####.##.####.#.#.###..##.##.......###.##..########.#.##.##....##.###.#.####.##..####.###...#.#.#.###.#.##....###..####.##.#.#..##..#.###.#.#.#.##.####.#.#.####...#.##.......#.###...#.####.#.##..#.##...####.#...####..##.##.##.###....########.##..###.#.##.#.##..##.####..###......##...#####.....##.##.#.#.#.####.#.####..#.#.#.##.########..####.##.#.......######.#.....##.######.####....#######.###.#.#.#.####..#.#.##.####.##.#.....#.#..#.##..####.###..##.######.#..##..##.#...###.#.##.#.#.#####.##.####..#.#.#
#..########.#######.#.#.##.......###########....####.....#.##.#.#.#.#...#.#.#.#####..###.###.####..##.#..#.###.#..##.#.#.##.##..#..##.####.##.#.#.#.######..###.###..######.##..####.###.####.#.#.#.#..#.#.###.##.##.#####.###..###.#.#####.#..###.......#.##.#.#...#.#.##..########.....##.##.##..#....##..#.##..#.#.....##...###.##.#...###.#.#.#.#.....#..#.##.##.##...##.....####.#..#..#.#.#......#############....####.#.####.#.#.....#..#..##.#..###...##.###.#.###.##.##..###...##.............##.#.#.##...##.##...#.##.#.####.###..###..####.####.#..#.#.#..#.#####..##.#.....##..##.#..##...##..#.#######.##.#.....#.########.##..#.###.##.#.#.#..#......#..####.###.##..##..##.##.####.##...###.#.####.#.##..##.###.##.#..##....#.#...####.....#.#.#.##......##.#.#
##..##.........#..#...#.####.#.#.#........#####....##.##....#...#.....#.....###.#.##.#.#.#...###..#####.##.##..##......#.#...##...##...########........####.#.#.#.##.##.....###..#.#.#...#.#..#...#.##.#.#.##..#.....#..####...##.#.#.#..#....##.#######.#.##...###.#.#..##.#.#..#.###.#..#.##..##...####..######...#########.##.#..#...###.#.#.#.#.#####...##.#..##.####.######.##...##.##.#.#.#####.##.#.#.#...#.####.#.####.###....#####.##...##..##.....###.............#.###.####.#####.#####.###.##.#.#.#..#.....###.#.#..#.#..#.#.#.####.##..#.##...##...#...##.##.#..##....#####..###.##.##.###..##.#.#......#.#.########..#.#..###.#.#.#.##.......##.######.##.#..##...##.###.##.#..##...##.###...#...##.#..#.##..#.#.##.#.##..########..##..#####.#....#.####.#..#.#
###....#######.##.###.#.#.############.##..#.#..##....###.#...#...###.#.#.#..##..........###.....###.#......##..##.###.#.##.#####..##.##..##..########..........#.#..######.#.##...#.###...##.#.#......#...#####.###...##.#..#..#.######.##.#..#.#.#.....#..###.##......###.#.##....#####.#..##.####.##.##..##.####.##...#.##....##.###.##..#.#.#.#..##...######.##..#............###.....#.#.#.##...........###.#.##.......#...#..####......#.#..#.#######.#.#########.###.#..##.#.####.###.###.####...#.#.#.########..##...##.#.##...#.#.##.#..##....##.#####.#.####.##.##..##.###...##.##..#..#....##..#.#.####.#.....####.#...##.#.##.#.#.#.#..#.#####.##.#####...#.##..###..#.#...##...#####..#...###.#.###..#.##..#.##.#.##....##.##..#.#..####.#.#...###.##..#.###.##.#
#.########.#......##......#..#####...#####.#...########.#####.##.##...#.#.##.####.#.##.#..####.#.#.....#.#.####.######.#.#...##.##.#..##.##..##...#....#.#.####.#.##..#.#...#..###.#..####.#....###.##...#....########.##.#.###...##......#.##.#.#.#####...##....#####.##........##.#.#.#.#.##...##..#..###..#.......###...##.##..#......##.....#...##..#....##...##.#.#.########.#.#####...#....###.##.##.#.##.......#####.###.##.######.##.####...##...##.#..##.##..###.....##..#.#.#..#.###.#.##.###.#.#.#..##...###..###.##.#..##.##....#.#.##..#####.#.#.#.#.##...##.###.##.#.#.####..##.##.##.#####.....#.#..##.##......#.###..#.##.#.#.#.#.#####..#..#.....###.#.###..#..##.###.##.####.###...###.#.#...##...##.##.##.#.####.###.###.#...#####.....####.....##..#..##.#
#.###.#......#.##..######.#.##.#.###.##......####.##.##.##.#####.##.#.#####...#######..##....###########.########.##.#.#.###.#..##.#.###.#..#####.###########......##.#.#.#...##.#.##.#.#..####.##..####.##.#..###.##.....###.#.#########.####.#.#..#.###.####.###.....######.#.##....#......##.####...##.##.######.##.##.#######...##.#....#####.#######.#######..#.######.....#.#.##..###.##.###.#.#...###....#.#.#####........#.#..#.#.#..##...#..###....#.###..##.##..###..##.......##.##....##..#......#.##..###.##.....##...##.....#.##.#.#..###.#..#.#.#.#..##.##...##.#..#.#.###..##..##.##..#.###.##...#.######.######.#.##.#..#.#.#.#....##.##.#.##.#####.#.....##.#.###.##...#..#.#...###.#.#.#...#..#.###..##....#.#.#....#.......#...##..#####..#.##.###.##.###.#
#.#...####.#.###..##.............#.#.####.#.##....................#.#########...##########.####.#.##..#.....##.#..##...#.....##..#.#.##..##.##.##....##.#.#...####.##.#.#####......##.#.##.#..#######....####.##.#..#####.##..#.##.#.#.#..##...#.##.#.#....##....#####..##..#.#######.#####.##...##..###.......##.#.##.#....##.############.##.##.##..##..###...##.#...##...###.#.#..##..##....#.#.########..#########....#.###.#####.#.####.#######...###.##.##..##...####...##..#####..#..#.##..##.##.#.#....##.#......#.#..###..###.#.####.....##.#.##.#.#.#.#.##...###.##.##.....#.##.###.#..###...#.######.####.#......##.....#.#.##.#.#.###.##.....#.#.....##.#####....#.#....###.#.##...####....#.#.######...##.##.####.#.##.###.####.########.....#.####....#..#...#.#
#.###.#....#.####....##.########.......########.######.#.#.###.#.#####..#...#.###.#...##...#.#.....##.##.####..##.#..#...###.###...#..##.#......####........#.###.....#.##.#..####.#..#.#..#.###...#####..##.......##.....###....#.#...#.#####.#.#....###.####.###..###.##.#####.##...#...#.####....#####.####..#.#.##.####..#..##.##.#........#...##.##.##.##.##..#.###..#.#.....#.####.#####......#.###...####.#.##..#.####....##.#.#.##......####.####.....##.##..###.###.#######....##.######.#...######.###..###########..###..####.##.####.###.#.##...#.#.#..##.##.#.#.....#####.#..#.#.##.#.#.###.##......#.#.##.#####..#.#...#.##.#.#..##.######.#.##.#####.#.###.##.#.#.#####.......####.####.#.#...###..###...#.#.##.#.#..#.#..##..#.#...##.###.#..##..####.##.###.#
#.##..#.####.#....##.#..##....##.#.#.###...#.####.#....###...#####.#.##.###...##..#.#....#.....###.#..#...#.##.##.####.#.#.......#...###...#.##..#.####.#######.#####.#.#..#####...##.#.##.#.#.###..###..####.####..#####.#.####.#.###.....#.#.#.####.....##.....##..#...#.#.#.#..###.###.#.#.###.#..#.####.###.#...##.#.##.##.##...#.##.#.#.#...####.#.........##...#.######.###....##...##.#####.##.#.###.#....#.#..####.####.##.......###.##.#.#..##.##.####...#.##....#....###.####.#..#.##.....#.####.....#.##....###..##.#.##.#.#...#..##..#.#...####.#.#...##..#..#.#####.#.##..##.#....#.#.#.##..####.##.#.#.......##.##.##.##.##...##.##..#.#.........##.#.....####......##.#.#####..##..##.....#.###.#.##.#.###.#....#.##.....######...###..#.####..##.###...#.#.#.#
#.###.#########.#..####.#####.######.#####.#.#.#..############..##.#.#...##.#..##.#####.########...##.##.##.#..##.##...#.##.#.##.#.#...###.#####.....#####.##.........#.##.##....#...........#.##..##...##.#######.##.......##.#.#.#.#####.#.#......#####..###.#####.###.#.#.#.##.#....##.#.....####.#..##...#..###......##.##..###.#.####.###.#..##..#.###########.##...##########.####.##..###.#..#.#.#.######...##.##....#....######.######......##.....#.####....####...####.#.##.#.##....#######.#.#..#.#....####.#.##....#.##...###...####...##.##.#..#.##.####...##.#.##....###....####...#.#..##.#.#####.#.###.#####...#..####.##.####.###.#.#####.###.##.##.#####.#.####.##.....####..##..###.###.##.....#.#.#.#.#.####....#####...####.#.##.#..##..##....##.##...#.#
#.....##....#.###########......##......##......##.###.##.##.###........#..#.##.##.##.#####.##.####.#..........##...##.####..##########...###...#####.#.##...#########.......##########.#####.#..#.###.#.#..#........#######................#...####.##.#..##....##....##.....#.##.##.#..#.#.###.##.#.#.##..#...###..####.##.###.##....#.#########..##...#.##...#.#...###..#.##............#.##...##...#.#..##.####.########.####.##.....##..#######.####.#....#.###.##..###..##..........#.#####.#........##.##.#..#.#.#.#####.#.##.#.#####.####.###...#.#.##......####.##.#.###.#...####..#.###.#...##..#..##.#.......#.##..#.#.####..##.#.#...#....####...#####.#..##..#.#.#.....#.#####..######.##...#.....##.##.#...#.#...##.##.#.##..###.#..#.#..#.###.#####.##...#.###.#
##.##.###.#...#..#.#.##...####..####.#....#.##...............#..#.##.#.##...#..........##.....#.##.##.#######.#..#.####....###..#.#.##.#.###.#.#........###.#.....#...#.#.#...#.#.######..##.##.#.#.#.####.##.##.##...##.#..#.##.#.#######.#.###....#..##.#####.##.##.###.####.#...####.#.#..####......#######.#.####.....#.....###.###.#.#..##.##.##.###.##.###.#.###...##.#..#.##.##.#.##..###.##.###.#.##...###.#.#.#..........#####.###.#....##.#..######.#.##...##.#.##..######.###....##...#####.#.##..#..##........##.....####...##...##....##.##.#..###.#.##.##.##.#...###.###.###...#...###..##.##.#..#.#.#.#.#..##.#####..##..#...###.##.###..##.##.##..##..##.#.#######....##.#.####....####...#########.###.....######.......##.....##.##...#....##.#.###.##.##..#
#####..######.##.#.#..##.##..##..#######.######.##.###.#####.#########..###.###.#.####.######.......###.###.#.#.####.#######.##......#.###.###.#######.##...#####.#.#.#.#.#.#........####.#.......#.#####..########.#......##.##.####..........####.##.##..#.#...####...#.##.#.##.##......#.##.#..####...#..#..#....#####...#.#..#..###...#.##.........##..#.##....#####.#....##########..#.##......#.#....###...#.#.#.#.#.##.###.#.....#...####.#....##...##.#....####......##.#..###.####..###....########.##.#########.#..###..##..###..#.#..####.....##..#..#.#........#.####........###.###.#...##..##.##.#######.#.##...#..##..##...####.....#.#.###.##..##.###..#.#..##.####.###.....#.####..##..#......##.#..##.###..#.##..##.##..#####.##.##.###.####.....##.##..##.#
#.#...##......##.#.#.##..#..###.##.##.#..#.#..#######..#......##.#.######...##..#.#....#.#.########.###.#.........##..##.##.....#.##.#..##.##....##.....###.#.##..#.#######.##.##.##........##.##...##..##..##......###.##.#...####.###.#.#.#####.#.#.....##.#.####.###...##.#.##.#######.#.##.#.#######.##.#.##.#.###.####.#.##.#.##.###....#####.#######.#..###.##.##..#.#.##.##.##..##.#.##.####.#.#.####.###.#.#.#.#########....###.###..##....#.#####..#.####.#..#####.##....##........##.####.#..###.#.####.#.........#####.###.#.##.####.#.###.######.#.######.####...##.##.#.##.##.......##.####.#..#..#####........#...##..##..####...#.#.....##...##.##..###.....##.......#.#.#####..###.##..##########.#.##....##.#.##.###.#####.##...#.#...##..######.##...##....#
#.###..######.#.......#####.#...#...#.####.##.##..#...######.##...........#..#########.....#.###....#.#.#.##.#######.##..###########...##..#..#.#######.#........#######.##########..#.#.#.##..#..#..##.###.#######.#...#..##.####......#####.##......###..#.#.#.#....###.##...##.#.##....#.##.###...###.#.....#.###.....##.#.#..#......####.#.....###..##...##.#.##.###.######.....#.##.....#.###....#..##..##....#....#.#.##.##.####..#...########.##..##.#.##.#.#.##.#....####..########..#.###....##...#.#....########.##.....#.#.#.##..#.#.....#....##......#..###.##.###..##.#############....##.#.##.#.##.#.#####.##########.#..###.########.##.####.##.###.#.#.###.#..#####.#.#....#..##.#..##.....#.##.#.#....#######.##.#.###.#.#..###.....#.##.##.##.#..#.######.##
#.####..##..#.###.###..##.#.###.###.#.#........##.#####.##....##################.#...#####.......##...#.####..#..##.....##..#.#..#...#..##.####.##.###....######.#.##.#....##.#..#####.#.#####.##.##....#.#..#.#.#########..####.###.##.##.......#.#######.#.#...#.##.....####..#.#.#..##.#.#..##..###.#.#####....######.#######.##.#####....#####.#.##.##.###.....#.#....#.#.#####......##.####.####.#.####.#####.####.#......#####.##...#..##.##......##.......#.#.#..####.#....##.#.##...##...##.######.######.#.........#.###...#.#..#.##.##.####.#######.####.###.......##.#...#.##..###.#####.##.#..#.#.#..#..####.........##...##.#.#.##.#.###..........#.#.#.#.#.###.##...#.#...####.##..##..#.#####.##.#.####.#.##.##.##...###.#.#.#######.####..##.##...##.######.##
#...###.###.#.#####...##.....##.#.#.#.#.#.#.##....##.#...####.##....#.#######......#..#########.##..#....#.#.##.#######.###.#.##.######.##.#.##.#......#.#####.#.#.#..##.#..#.#.##.#...#.##....#..#####.#.#.##.....#.#...######......#..#..#.###.###...........######.#.#.#.##.##.#.#####.....####..#....#.#...##..##.#...##.##..##.#.#.##.#..#.......#.##...####.##...##.#.#.#.##..#.#.##....##.##...#..##...##...#.##.######.#.#....##.###..#..######..#######...#.#.##.#..#.##....#.####....####.##..##..#.#.#.########.########...##.#.##.##.#.##..###.##..##....##.###.###...###.##.##.#..#....##.##.....##...##..#.##.#.####..###....#.##.#.##..##.#.###.#..........##..#.#.....###.##..##.###...#.#.#.......###.#..#.#.....#.#.#.#.#..#.###....###.##..###.##...##.#..#
#.###...........#####....##.##....#.#.#########.#......###.##.#####.......#.########.##.........##.##.##.#....#.##.###...##.#.#..#..#....#.#.#..##########.......#.#.######.#...#..########.#######..........#####...###.####.###.#####.######...##..#.#######.##.#...###.#.##.##.#.#.#.#.###.#..##.####.#.#######....###....###.##......####.######.##....#####..##.######.#....############.##..###.#.##..######.#.#..##.###.#...##.....###.#.##.#.##.##...#####.#.#.##.#.########.#.#..#.##.......#.##..##.....##..#.#..#.#......#..#.#.##..#.#..#.##.#.##.##..#########.##..#.....##....##.###.##...###.#..###.###.#.######....##.#.####..#.#.###.##.####..###.######..##.#######..##.##.##....###.......#######.....##...#######.#.#.#.##.#...####.#....###...##.##..#.##
#...########.####.#.#######.#####.....##...#.#####.#.#.........#..#######....#....#...#######.#.#..#..#....##....#.#.##.##..#.##.##.####.#.#.##.##.##..#####.###...#.##.#.#.###...###.#.#.###.#.....#####.##.#.#.##.##.#.......######.###.#.####..#.####.####...#.#####...#.##.##.....#.....####.#..#.##...##.#.#####..####.##.#.#..###.##.......#.#.#..##.##..##.#..##..##.####.#.#.#.#..##..###.#.#.#....##..#.#.....###.#.#.#######.#.##...........#..###.#.........##.#.....###......#####.#####.#.###.######.###...##.#.####.####.#....##...#.##.##.#..#.###...##.#..#.#..###.#.###.##........###.#######.#.#..#..#.#.#.#####.##...#..##.#...#.#######.##.##..##.##########...#..##..#...###.######.#.###.##..#####..#.####...#..#.#.#..#.###.####.#.####.##.##..###....#
#.####....#..#.##....##.#.#....###.##.####...#.#.########.#.##.#.##...######...##.###.#.#.....####.#.###.#.###.###...##.#..##.....#.#.#..#.#.#.....##.##.#.#######.#.##.#.#..####.#.#.#.#.##..#####.#.....##.....#.....##.####..#......#.......######.#.......#.#.#...###......######.###.#..##..##...####.##....#.##.##.##........##.########.#.......#######....#.##..###.##.........##..##.#.#.#.#.####..##.#.####.##..........#.#..#####.########.#.##.#.##.#.####.##.#.#####.######..##...##.##....##.#.#..#.#.#.#.####.##.####.#.####..###.#.##....#.##..##.###..##.#.##.#.###...#.###.##.##.#.#..#..#.#...##.##.#......##...##.###.##....###..##.##.....##.###....#..##.###.##..##.#.#####.##.#...####...##...##..##.#..#.###.##.#...##...#....#.....##.##..##..###.###
#.##.####.##.#..##.#......####......###.##.#.....##.#.....#.#....####.#.#.######....#.#.####.###.###...###.#.....###.##.##..#####...#.##.......#####..##.#.##.........#.#.#.##....#...#.#.###.##..###.#.########...#.#..####.##.##.#.#...#.#.#.###.#..###.###.###.##.##.######..##.#...#####..##..###..#...#####.#.#..##....####.###...#.##.######.###...##.###.#....##.##...####.##.#....###.#.#..........###.....#...##########.#.######.######........#.#.#########........##....##...#####.##....##.##...##.#.#.#.#...#...#.##.....##.#.##......###.##....##..##..##.........###.#.###....###..#.##.##.#.#.#.....#...####..###.....##.####.##.#.##...#####.##.#.#.####.##...##.##.##.....##...##.###.###..###..####.##....##.#.#..#.##.####.##.####.#####.....##..##.#...#
#....#.##.##.#.##########.##...##.#..##..#.#####....############.#.##...#...#.#####.#.#...####....##########.##.###.....#..##.##..#......#.###..##.##.#....##########.....#.#####.###.....#.#..##.###.#.#........#.####.###...#....###.#.#####.....##.....##...#..##.#..#.##...###.###.#.#.##.###.#.##.###.........##..###.###....##.###.#..#.#......##.##....####.####.#..#.#....#..####...#.#.#######.##.#.#####.##.###............###....#...########.#....##.##..##.###.###..##....#...#####..####..####.##.....#####.###...######.......###.####......#.####.###.#..####.####.#############..##.##.##.#.#######.##.##..####...######..#.#..#.#..##.##.#.#.##.#.#..#.#.#..###...#..#####..##.##..#...#.##...##.##...##.#####.....##.##.##.#...........#######..##..#...###
##.###.#.........##.#.#...####.#..##..#.##.###.####.###...##..........#...#...#.##....##.##.#####.#.##.#..#####..#..#.#.#.##...#####.#.#####.##..#.#..####.#.#........#.#.........##..###.#.#.##..#.#.########.#####..#...###.###.#########.#..###....#.######...###.##.#.####...........#.#...##.#....#.###.#.#.#....##...#.####..#.#.#.##.#.#####.#######.####.#..#.#.#.######.###.##...#.......##.####.....##...##...##.########.##.####...#...##.###.##.####.###.##.##..#.#####.####.###.##########.#.#...###.#..#.#..#.###........#####.#.#..####.##.#####.#.#.#.#####.#..##....###.###..#..##......#.#.##.#....##....###.###.##...##.....##...##..#..#......#.##.#.#.##...#.#.#.##..###.##..##.###.#.####.##..###.##.###.#.######.#...#.#.######.##.#.##.#..####...#####
##.###.######.####......#..#.########.#.####...##.#.....#.###.###.#.#.#.#####......##...............#....##.#.##.####.#....##.##.##..###........##.##.#....#...#.##.#.####.##.#.#....##...#.#.#..##.####.###...##.###.#.#####.######.##.##....##...#.##.####...#.#.#.#..#.#....#########.....#.#..##.#.......###.#.##..#####.##.#.##...#.##.#.###....##..#...##....##.#.#.#.##.#################.##....###.#######.#..######.##..##.#....####.###...........###..#...######....##.#####..#.#.#.##.......#.#.########...##...####.#.#.####......#.##..#..#.#.##.........##.#...##..####.#.#.##.##.#####.###.#.##.##.#..#.#####..##...##.#####.#.##.#####.##.######...##.#.#.#..#####.#..##..#..##.###..##....##..##.##.#.##.#.#......##..###........#.######..#.##.####.#####.#
#..#.#.#.#.....#.#########...###...##....##..#....#####.#.#...#...#####.#..###.#.#####.#.#.###.####.####..#.#.......#####.##..#...##.#########.###.##.####.########.#.#....##############.....##..#..##....###.#........#.#.....##.#.#.....#######.#.####.#..###.#.#.##.#.###.##.....#.####.#####..######.#.##...#..##..#.#.......##.###.#....#.####..##.#.######.##....#.#.#...#.#.#........#....###.##.#.##.#....##..#.##...##.##.##.###.##.##..#.#.##.##.#.##.###.#.##.###.###.###.##...#.#.########...#.##..##.###.###.##.##.######.######....##.#.####.###.##.##.##..###..#.##....#.#.#......##.#..##.#.##.#####.......##..###.#..#####.####.#.##..##.##.####.##..#.#...##.##....####.##.##.#...####.#####.##.##.#.##.#...#.##..##...##.#####....##.###...#...##...##.#.#
##.#.#.#.#####.#..#...##.##.##.###....##..#######.......#.##.###.###..####..######...###########.##.##.##.#.####.####......##...#....#...#...#.#.#.##.#..#.##..##...#.#.#.##........#####.#.#..##...######..#####.#####.#.####.##......#.#########.###.#..#####............#########........#.#...##...####.##.#.#.####...###.###.....##.##.#...#..##.##.....#.##..##.###.#...###.#.####.###.##.#..#..#.....#.#.##.###....##.##..#.....##......##.#########.#.#...##.#.#...##.#...#.#....#......#.#.#.#.#...###....#.......##.#####.#.....##...#####.....##..########.##.####.##.#####.#...######.#....##....##..##...###.####.##...##..##....##..#..##..#.#........##.#.###..#.#..####.#...#.##.#.###....#.##...#.#..#.##...##########.###..##..###.##..#.###.##.##..###..#.#
#..#.....##....##.##.##...#....##..#####.##.##....#####.###########..###.##.#.######.##.#.##..#.....#..........#.#.#######..###.########...#.....#.##.##......##..#.#########.#.#.#..##.######.####..#.####...#.###.#.#.#.##...##.#.######....##.#####.##.#.#...#.#.##.###.#.#.#.....######.#.##.#####.#..###..#.#.#....#.##########.###..#####.#.##...##.####....##..#.#.##.##.#.#.#.####...#####.##...#.#.#.#.##..#..#.###..##.##.##..####.###..#..##.#.....#.###....##.##....#.#.###.#######.........###..#####.#######..#..##.#...###..###..###..#####..##....#.#..#..#...#...#.#..##.##........##..####..#.##..#...#.###...##.##..####.#####...####...########.##.#...##.#.##.#..#.###..........####....##.##.#.##....#..#.#.##.#....##....########...........##.##..##.#
##.###.#######..#.....###.##.#..####.#.#..#.##.####.###..####.#.#.##.##........#..##.#.....##.#####.#####.#.##.#.....##.###...###.#.######.#.#.#.......######.########.#.##.#####.##.......#.#.#.#..##.#.####...##........####.######.#.##.##.....##.#.#......###########..#.#.#######......#.#..#.##..#.#####.#.########.#......#.#...##.###......#.###.....##.#..##.#.#.##.##.#.#.#.#.####.#.#.#.####.###.#.#####...####...##...#####.###..####.##....##.##...######.....######.#.#.###.##.########.###...##..#..##.##.##...##..#####.#.##.#.##.##.#.#.##..####.#.##.##.###...###...##..##.#.##.#.###.#.#..##.#..##.#####.##.##...#.##.##...#.#.#....#.#.....##.#..#.#.####....#...##..##.##.#.#####.#..##.##.......#.#.#####....#.###.####.####.##..##########.##...##.##.#
#....#.##.##.##.#.#.#......####.#.#....##...######....##..##..#.#.#...###.####.##....##.##......#...#..#######.####.##......#..##.#..#..########.###.####.##...#.####..#.#...#############.......#.##..#.#..###....#.##.#.......##.#....#########......##.###.#.......#.##.#...##......#.##...##.#.###....#.#######.####....##.#...#.#.##...######....##.###.####.##......##.##.#.#.#.#.#..........#.#####.....#####.##..###.###.####...#.####.########.##.###.##...#####.##.#.##.#...##......#.#.#########..##.##..#.#...##.####..............##.##.#.#..##.#.#..#.##.#..##..#######..##.###########.....##.#..#.#####.##..##.#..###.#...###...#.###.##.##.##....##.#....##..##.#.####.##..######...#.#.#######.###.##.###.#.##.###..#....##..#....#.##..##.......##.###....#
####.#.##.##.#..#########.##....#.####.####..##....##....####.....###.#.####....####..#########.###.##.#.#.#...#.#..######.###.##.##.##.#...#.####....##...##.##..#.##.....#..#.##.#.......#.#.#...###.#.##.#.####.#..#########.##.##.#..##.#.########.####.####.####.#..#...######.#.#######.##.#.#...####..##.##..#....#########...######....####.###...####.#..###.#####..##.#.#.#.#.#######.##....##.###.#..##.#....##.#.#.#.#..###...####...##.##.....#....###.#.....##........#########.#.#.#..##.#.##.#..###...###......#########.#.###..#........##..#.##...##.##.#..####.##..##..#.#.#.##.#####.##..##.#.#.##...##.#..##...#...#.#####.....###########.#..#.###.#######.#.#..#..##.#.######.#......##.#.######..##...##...##.###.####...####..#.########.##..##..####
#....#.#..##.##.####.#.#..#####...........##..##########...######.###.#.##.####.##.##.##.#.................###.....##..#####.#.##....##...#......####..###..#..##.#..########.#.#..##.####.#######.#.....##.#.##.#########...#......####..#.#.#.###..#...#..##.###..#.##...#..#########.#.#...##.#.###..#.##.....##.####.###.......#..#####.#.##.#...##.#...##.##..##..#####..#.#.......##....#..###.##....####.##.##.###..........#####.##..#.###.....###.####.#.#.#####.#########..##.##.##.#...##.##.#.##...##.###.....##.#..#.#.#.#..####..##.####.#.###.#.##.###..#..##....#..##..##.#...#.#.........#.##.........#.##.##.#..###.#####.....#.####.##..#.##.##........##.#.......##.###.#..#.##..####.###.......##..#####.#..####.......#..####.#.##.##.##.##.###.##.#####
####.#.##.##.#..#.#....##..##...#.#.#.###.###.###.##.#####..###...#.#......#.#.........#.##.###.##.##.#.##.####.##.###...###...###.#.####.#####.###...##...##.##..##..##.##.....##.#####.####........#.#..#.#.#..##...#.#..#...####....##...#.#.#.##.###.##.##..###......#.##..##.##.#....###....#.#...##..#####..#.#..###.##########..##.###.##.##.###.#####.....##..##..###.#.######.######.####.#..##.####.#.##.#...######.####.##.##.###.#.#...##.###..####.#.#.##....#...#.#...###.##.#..#.####.##....##.##......########.##.......###.##.##..#.#####.#...##.#.##.##....####.##..##..###...#########.#.###.#.###.#####.##...####.#########.###....###.#.#..#..##.##.##....##.#.###.##..#.##.#..##.##.##..#.#####..##.#.#.#.##..#######.#.##.#....##....##.#...##.#...#..#
#.........##.##.#.####.#..##..##########...##.#.#.##....##.##.###.#.######.#.####.##.#...##############.#....#####.#.###.#.###.#.###..#########.#.###..###.##.##.####.#...#####....#.##...#.######.#.####.....#.#####...##.#####....#######.#..........#.#.....##.##.#########..#.#..####.#.#.##.#.###..#.##.#.#.##...##...##.#.#.#.##.#..##..##....##...#..#####.###..#.##........##..##.##...##..##.##.#.#..#.##...#..#..####.....#.#........########...##......#..####.###.#.###.#.#.##.##....##..#####..#..##.###.#..##.#...######.###.....##.##..#.##.###.##...##..##.###.##..##..##...##.##.##......#.#.###.########...###....#...#.#.##...####.##.....#.########...####.######.#....##.#....###.##.#..####.##..###.#...#..##.##.#.......#...#.###.#####.###..#.#.###.##
#####.###.##.##.#.##.....#######...#.#.###.##.#.#.###.#....#....#.#..###........########.#.......#..###.#.##.#.#...#.#.#.#.#.#.#.##..##.##........#.#.##.#..#.##..#.#...#######.##.#.#..#......########.#####...#..####..###.####.#...##....#.##.#####...##.##....#####.....##.##.##.#..#.....#........##..#......#.#..###.#....#........####.#####.##.###.##.##...#..##..#####.######.#...###.###.##.##.#.##......######.##..#####...#######.##.##.....#.#..##.#...##.##.##.....##.#.#.##.##.##.###.#.#.##.#.##########......###...####.#####....#..##.##.#....###....##...#...#.##..####.##.....#######.#.#.##..#.##.#.##.##.####.#.###.#..#.###.#...###.#.###.....####.#.#..#.#.##.####.##...##.##.......##.#..###...#.##.##.###..#.##.##.###.######...##.#...##.#....##..#
#.....#...##.##...##.#.#...##..###.#.#............#.####.#...##...#.##.#.#.####.#..##....#######.##...######.#.###.#.......#......##.##.#########.#......#.##..##.#.###.#.#...###......##.###.##.##.##........#...##..#.##...#.####.#..####.######.....#..#######.#.#.###.###...#.#..##...#.#######.##..##.#.####.####.#.#.####.#####.##...#...#.#..##.###..#..###.##..##..##.#....##....#####.#....#..#.#..####.#.#..#......##.#####.#.#.#.#.##.######.#.#.#######.##.##....###.##.....##..###..#.#.....#.....#.#..#..######.#.###.#.#..#..###.###.##..##.###.##.####.###.##.###..##.####.#..###..##.#.#......##.#....#.#..#..#.#..#.....##.#.##....###.###.##..#.#..#...#.##........####.#..#..######.#.####.##..##.###.##......##.#.#####.##....###..#.#..##.##..##.#..#.##
#########.....###.######.#####..##.#.##.##.#####.##.##.##########.#.##.######...##..####..##........#..#.#.....#.#.####.##.######.....#..##.##.#..#.##.#.#..##..#.#.#.#...#.####..#.##.#..##...........####.#.###.###....###.#.#.#####.###...#.##########.##......#.#.#.#..#..#...#.####.##.##.#.#####.###.####....#.#...#..##..##..#.##.#...###.##....#.##.#.##......##..##..##.###..##.#.#.#.####...##.##.##...###.##.##.###..#.##....#.#....#.#.##########...........###.####..#####.###.####...#####.#####.#.##.##......#.#.#.#.#.##.##.#.#......##.##.#......#..#..##.##...##.##..##..#.##.##.##...#####.##....#.##.##.#.##.##...######.#..##.####...##..#######.###....####.#####..#.#.########.###....#.#..##....#.##.#######.#..##....##.###.#.#####.......###.##.#.##
#......###.##..##..##.#...##.##.#....########.#.....##..##..............#.#.#.#....##....#######.##.##.....###.....####.#...#...#####...##..##.##.######.#.####.#.#.#.###.#.#.#..########.###.##.####.##..###.#....#####.......#.#.#.#...###.#.#.##.##..#..######.#.#.#.##...####.#.#.#######.....##...##..##.####.#.###...####.###.########...#.####.##.#....#######..##..##.##..###.#....#.#.#.####.##.#..##.#..#..##.####.##.#....##...####.#.#.#..####.#..###.###.#.#.####.##.####........###.##..#..##.#..#..#.#######..............#....#.####.....#.######.##.#.###..#.####..##..##.###......###........##.###.#.....#.#..#..#.#.###....##..##.#.###..##.#.##......##.#..#...#.##........##.#...##.##...##..###.##..#.#..#..#.#.######......#.#...#.##.#.#.##.####.#..#
####.#......##..##.#..##.###.#..####..###.#...#####..##..#####.#.#.##.#.....######..####.#.#.##..##..#####.#...###.#..#####.##.##.#####..##..#....###.#.....##....#.#.##......#####...#.#...############.#########.......##.##...#.#.##.##.#.........##.##.##..#........###.##.#........#..######.####..##......##.#.#.###.#.#...##.###.##.###....##..##...##..##.#.##..##.##..#.##.######...#.........#.#.######.#.##..#.##......##..###...##.#.#.##.#.#....##...#####.#.##......#..#######.##.#.###.##.#..##.##.#...##.####.####.#.###...##...#.######.#...###..#.....#..##..##..##..##...#######.####.####.##...######.#...##.#.####.#.####.###.##.#.#.##..#....######.#####...#.#..###.#######.#.#.....##.##..##....#.##...##.##.#..##.##.######.#.###.######..#..##..#.##
#######.#.#.###.##.##.##..#..##.#.###.#.#.###.#.#.#.####...###############.########..###.....###.#..##.....#####...#.####.#..........###..##.####.#.....###..####.....#####.###...###...##.###.###...#....#.###.######.######..#...........#####.##.##......##...##.##.##.###..###.#.##.#.##.###....##.######.#....#.#.........###..#.#........######..##.####.#.....##.#...##.#.##..#.#####.###.#.#.#...#.#.##...#..##....##.#.########..#.#......##...####..##.##.......##.####.##.#.##.#..##.#.#.#....##.##......#.#.......#....#..#########.....##.####.##.##.#####.#.####....####....#.#..........###....#..#..#########.#......##...##........#......##...##..##.#....##..#.###.##.#..##.....######.#######.####.##.##.###...#.##.#..##...#..#.#..##.#.#.###...##..##..#
#.......#####.#.#..#...##...##....#.#.#.#.##.........#.###.#.####.##.##....##.#...##.#.#####...#.############.#..#......#.#########.##...##...##....#####.#.###.####.##.#.#.#.#.###.###.####...#.###.##.#........#...####.####.##.##.#####..######...######.#########..##..#..##...###.........###.##...#..#####.#...#######.#...##.#.########...##.##.##..#.#######..#.##.###....##.#.#......##########.#.#..###.#.##..###########.##.##.#######.#####......######.#.###....##...##...##.##........####.#..##.#########.###.##########......##.#####...##..#..#...##......#.##.#..#.###.######.###.##..#####.#.#####.#.##.#....##.####.######.####.#.######..#####......#.##..##.###.##.#.##..#####.......#.##....##..##..#.#.##.##..#.#.###.###.##...##....#..##.#####....##
##.####.#####...##.###.####.##.##.........#####.####.#.##..#.#.#.....#..#.##..#.#......##.##.###.###.#.####...##.######.....#.#.#.#.##.#....#..#######........#.##....#.#.....#.#...###.#.##.#.#.#.#.###########.##.###.#.#..###...#####.#.##..##..#..##.##.#..###.#..####.##.#..#.###.#.#.###.....####.#.##.##..#.####.########.##.#.##.###.#.#....##.#..##..##.#.##...##.#.###.##..#.#.#.##..####.#......#.##...#..##..#..##....#........##...#.#.#.#########.....###...#.####.#####....###.#####.##.#.##.##........#####..#....##..######.....##.#.#####.##.###.######.##..#.####..#...##.#####...####.........#.#.#.#..####..###.....##.#..##.###...#..#.###.######.#########.#.#..#.#..##.....###.##.##..###.####.##.##...##..##.#...#.#......###..####.#.##...#.#..#####
####.####.#...#....#.#.#.##.#############..#.#####.#...#..##...#####.####....##.######.#.......#.#..........#.#####...###.#..........#.#######.#...#.###.#.##....####...##.####.###........###.#......###...................##########.#.#..##.#..###.##.#..##.#.#.##.##....#.######.#.###########..#.#.#.##.#####..##.......###....#.##.#.#.#.#######.##.#..##.....###.......##..##.#.#######.#.#..#####.##.####.#.####...######.######.#..###.....#.##.#..##..##.##########.#..#.#.####......##........##.#..###.####.#.#######..##.###..#####.##.#..#.#..##...#..#..##..#.##..####.#.###...##.###..#.#######.###.....##.#.##.#####.####..#.###...##.##.####.#.#........#.#.#.#...#.##.#.####.########.....##....##..##.##.###..##..#.###.#.###.##...##.#..#.#..###.##..####
#.##.#.##...#.##.#...........##..##...####.....#...#.#.##..###.#.#.#.###..##..####.#...#####.################.......#..######.#.#.##.####.##.#.###...#.#####..##..#####....#.##.#.##.###.#..#..######...#########.###.##.##......##........##..####....#.##.#..#.#.##..####.....##...#####....#####........#.#..#..########.##.####...##.......###......#...#######.##..##.####..##.....#.#....#.##.#..##.##..##..#.#.#..#..#.#...#####..#.###..#.#...##...#########..#.......##......#.##.#.###..######....#.##.#####.....##.##..###...##.#..#...#.#.##.##..###...##.####....#.##.##.....###.#....##....##.###.#######.......#.##.#..#..##.......###..##..##..#.#####.#.##.#...###.#.#.....#.#....#.##..######.####..##...#...##..##.#.#.#.#..#####.#.##.##.....###..#..##.##
#.......##.########.#.#.##.#####..#.#......###.###.###.#..##.#.#.#.#.#.#.####..##....#..#.##.#.##.............#####.##...#.##.#.####..##..#......###......#..####.#.#.####.#.#....####.####.##..##.#..####...###...##..###..####.#####.#.#..##....##.#......##.#.#.##.##.#..###..###.##....##....#########.#.##...###..##.#.#.....##.#####.#.#...######.###..##.#....#####.##.#.#######.#...##........##...#.####.....##.####.##.##...##.#.#.########..###.#.##...###.###.#.#....##.#...######.#######.####.#..#..##.#.###.#..###...#.#..#.##.###.....##..##..##.#....##...####..#..##.####.#...##..####.##.#.#...#...##.####.#......##.#####.##.###..##..####...###...#.##...#####.#.####.##...##.#..#.####.....##..###.#.#.###..###.#.#.....##.#.###.##.##.###.#.##.##.....#
###.#.#.#######.....#.####....##.#####.#######.#...##..##.##.......#.#.#######..#######....#....####.##.#.#.#.#.....#..#......#.#..##.###.######...######.####.#......#....#.####...##..#.#.###.#..##.##.###...#.#############.........#.##.####.##..##.#.#....#.#.....#.####.#.##...#########.#..###.##.#.#..###.#.##..#.#.#####.##.#.#.#####.###.#.#....##..#.###.####....#.#..##.##..#######.#.###..###.#..##..#.#.#...##..##.##.######...#.#.#....##...#..##.##.......###.##.######.#.##...###........#.##.#.##..####..##.#.###.####.......##.#####..####.####.#######..####.##..#...##.#####..##.##..#.#.#.###.######.#....#######..##...####.##..##..##..###...###....###.#.#...##......#######.#....#####.#..##.###.#.#.##.#.#.#...######.#.##..##.##.#.###.##.#..#####
#######.#.#.#.####.#####.###.##..#.######.#......#####..#.#####.##...#.##.##.#.##...##..##.###.###....###.###.###.####.#.#.#.##.##.##.....##..###.##.##...##...######.####...#.####.###.........##.##..#.#.##.#####..###.#.#.######.##.###..........##..####.#...#####...###..#.####...##.#.#####...#..#.....##.....###.#.#..........#.#.##.#....#.#.#.####..##..##.##.####.#.#.##...##.......###.#...###....####.#######..##.##.....##.#..#.....####..###...##...#.##.#.#########.........###...##.#####...##.#..##..##..##....###..#.#####.#....##..##.##.#.#.#...#.##...##.##.###...###..#..###.....##.#.#...##...#.#.....#.##..###..#####.#.##.###..#.####.#.######..##.#.#...##.#####.#####..##..#.##.#..##.##.#...##...#..#.#.#.#.####.#.#.#.##.##..#..#..##.##.#.###..#
#.##.#........###..#.##.......##.#..#.#...###.##...#.##....#.#######.#.#.....#.####.#..##..###.#.######...##..##..##.############...#####..##.#.#.#...##.#####..####....#..#....#...#.##.##.#.#....###.#....#.#.#.##...#.......#########...#####.##..#####.####.##.#.#.#.#.##.#.#.####.##.#.#..####.##.#####.#####.##.#.#.####.##.##......#.###.##.#...#.###....##...#.#......#.###.#########...#.##.##.##.#...##..#.#.#..##...###.####...###.####.##.##...######.#########.....#######.##.#...##########.#.##.##....####..###.##.##.#....######.##..##..##.#.#.##.##..###.......#.###.#.##.##.#.#####......#.###..###.##.#.##.###...##...##.....#.#.#.##..#.#...#.###..##....###.#....###.##.#..####...#####.##.##...#.##.#.#.##.#......##..#.#.#.##..##.##.#.###.#..#.#.##.#
#.#....######.....##.#..#####.##.#.##.###.#.####.###.###.#....###......#####...#.#..######.#.#.#.##.#.##.##..##..##...#.#.#.#..###.##..###.##.#.....#....##.###....##.#...#####.###......##.#.##.#.....####.#.#.#..###.#######.#..##.###.#.#.....#####......#..........###.#..#.#.#.##.#....#.##.......#......#.....#.#.#..##############.#.##..#....###.#.##.#..##.##.######....#...#.##.#.#.#####..##.#####.##..##.#.##.#..#.#......######.......##..##.##.##....##..##...###.........#####.###.##....###.##.###.###.###.#....#.#..####.#.#....###..##.#......#.....##.#.#######..#....##......##.#######...#.##..##.#######...##.##..###..#####.#...##.##.##.##.#.#.#####.###..#.####.#..#.#.##..#.###.##..#..##.###..###...#....#.######.#...#.##.##..##.#.#.#.#.##...##.#
#.###.####....###.#....##.................#..........#.#.###.##.######.#.#####...##.#.#........#.##.#.###############.....#...##.#.#..##.#......#.#.####.##.#.####.#..#.#..##....#..#.#.##############..#.#.#.#.#.##...##.###....##..#.###.####.##.#.######.##.#.##.##..#..##.#...#.#..##.#....#######.####.#...###.....##...##.###.###.#.#..##.####.##..#.##.#####.##.##..##.##.#.###.##.#....#.###.#....##.....##....#..#.#######.###.##.#######..##.##.#...###.##..##..#####.#.##.##..##.#..#..###.#..#.........##..#.#.####...##........####..##.##..######.####.##....##....##.##.#########.##.#.#.##..###..##.#...##.#...###..##.#####.#####.#.####.#..#..##...###.......##.#.###....##.#..##...###..##.##....#.#####..###.######..#.#...###.##..##.#..#.#......#.#..#.#
#.#####....##.###.###.#####.#####.#.#####.#######.####.###...##.##.#.#.#.#.####.###.#.######.#...##.#.#.#.###...##.######...#......##.##...##.#.#.#.#................##.#.####.#...###########.##.##.##.#.....#...####.##...####..##....#..##...##...#.#.#.....#..#####.#.###.###.#.#.########..........#.####.#####.#.##..###..#...........##..##....##.#.#....##...#..##.#..#..#..##.##.####.#.#...####.######..####.##.#.#.##....##.......###.##....#..###...#..#.######.....########......##.##.####.###.##.######...#.#.##.#######.###.##.#.##...##.##.#...#.#...####.##.####..##...##......##...#..##...##.#....###..###.#.##.......##.....#.#.#.#..##.##..#.####..##.##........###.##..#.##..###.#.##..##.#.##..##.##..##......##...###.##...##..#.##.#...##.######.#.#
#.#.....#.##....#.#...#..####.....###......#.#.##..##...#..#.....#.#...#.#.#.##.##......#....###..#.#...#.#.#.#....#.##...######.#....#..###..###.#.###.##.##.#.####.##.#.##.####.##.#.#.##.#...........#####.##.##....#..#......######.##.####..###...#...#.#.#####......##...........#.#.....########....#.###..####..##...##...#########..#.######.##.#.#.####..###.##..#####.##.##.##.#..#.#.###..###.#.#####..##..##...#..####..######.##......##.##...###...##..##.######...#.#.###.##.##..#..##.#.....#...###.###.........###.####.........###.##.#..###.#.##.##........#.#.##..#########.####.##.##.###....##.####..........##.####..##.##.#.#.#.##.....##.#..#.#####..######.#.#..#.##.###..##....##..###.###..#.###.##.#########.##.....####.##.#....#..###.##.#.#.#
#...#.#.#####.#.#####.##......###..#######.#.#..#.##..#.#####.##...###.#.#.#.#...######.######.##.#.###.#.#.####.#....######.########.#######.#...##########..#.#....##.#..#.#....##...#....##.###.##.#...........####.##.##.#.#...####.####.#########...#.#####..#..#.##....########.##.#####.#...##.##.#....#..##.#..##..#####.#####.#.###.#.##.#.#.##.#...##.#.##...###..##...##.##.##.##.#.#.#.##.#.#.#.#.....####..##.##.##..##..##.#...########...#.###.###..##.##.#.#..#####.......#...##.#.##..#########.#.#..#####.##.#..#..#.#..##.#.##..##.##.#.##.#.#.##..##.#.#####....##.##....#.#.#.#...#.##...###.#####..###.####.#######...######.#.#.#..#####..#.#.##...####.#......#...##.##.#.#.####.#####..##..#..##.#.#.##......#.#..##.##.###.#.##...#####..##.##...#.#
###.#.###.....####.#########.#######.#.......##....####..##.###..#...........##.##.#.##.##............#.#.#.##.######.##.#......#.#...####.#..#.#.###........#######..######.###.#####.##.#....##############.###.........#######.##..#..###...#.#.#.###.#.##.###.#.######.#.#........##....######.......#.##...##..#.###.##.##..#.............##.#...##...####.#....#.#.##.####..#.##..#.#......#.##.#.#.#.#####..##..##...#.#..##..##..##.##.###.####.....#..##.###.#..#.#.####.#########.#..#.#.###..#..##.#....#.##.#.####.##...##.##..#######.##..#.#..#.#....#.#####..#.####.##...##.#.........#...##.#####....#..##.#.#....##..#.##.###.#...#.#.##...###.##....#.###....######.#.###...#...#.#.##.##.###.#..##.###.#.#....#.##.#...##...#.#.....##.###########..###.#.#
#.#.#.######.##........#.....##.##...######.######.#####.##.##..######.##.##....##....#..##########.#.#.#.#.#..####.#.##.######.....#........##.###.#####.#####......##......#.###.##...####.#.#..#.##.####.####..##.#.##.#.#.#.#.###...##.###...........###........#......#.###.##.#..##.###......#.#.#.######.###...##...#..################..#.###....####.#.###.####.##..#.##...###.#.####.#...##.#.#.#.#..##.###.#####...##.###..##.##.##.#...#.#..###.#.##....#.##.....##...##.#.#######...#.#.##.#.##....##.#.#..#.##.######.#...####..........##.##.#.##.#....#.#..##..##..##.######.#.#.##.####.##.###...##...##..#####.##..##.#..#.#.##.##....###.#......#.#########.#........#####.#.###...#...#.#.....###.#...#.#.##########.####.########.#..###..#.###..##.#.#.#
#.#####....#######.###.#####.#..#..#....#....#.###.#..#......#####.#.########.#..#.##...##.#.##.#...#...#.#.#.##.#........#.....#.#.###.####.#..#.........#.....#.##.#..##.#...##.....#......####...#............##########.#......####.##...##.####.#.#########.####.##.#.###...##.##.....################...#..####.##.###.##...#...###.##.##.#..####.###.#.#...#..##...##.#.##.###.#.#.#.#####.##..#.#.#.#.##..##...##.##.##..#.##.##....##.###.#.##.##.....##.###..#####..##.##.......#####.##.#.#....###.####...##....#..#.##..###..##..##.####.##...#.#.####.#.##.##.##.##..##...#.###############..#...#.####.#####.##.#...#.##..##...#.#.....####.#.##.##########.##.#####.##.#...##.....#..###.###.#.###.#.#.#.###.#.###.##.##...##...##..###.##...#.##...##..#.#...#
#..#.#####.......###.#...##..##.#######.##.#...#...##.######.###........##.#####.######....#.##.#######.....#.#....#.####...###.######..#....#.###.####.#.####.##.#..##.##.###.####.#.##.###.##.#.#...####.#.#.#.#....##.#..####.#..#...##.########..####..#...###....#..#.#####.##.#####.##.##..###....##..#...##........##..###.###........##.#.##.#....#.#.###.##..##.##....#..#.#.#.#.#..##...###.#.#.#.#.#..#####..#.#...##....#..##.###..#...#.########.###...##.#...#.##..#######.##.#..........##..#####.##.#####.##.##.#..#####..#######.....###.#.#.#.#..###.....##..##....###.#.##..##.####.##.#.###....###.#......###....##.#..###.#.######.#....#..##.##.#....#.###.####.#.#..##.####.##.#.#.#.####....#.#..#....#....#.#..###..###..##...##.###.##.#####.#.#.###
#.##..#.########.##....#..#####.###.###.#..###.###.##..##.##.#.###.##.#......#.#.##..#####.#.#..##.#####.##.#.####.####.###.#...##.#.##.#.#.####.####...####....####.##.##.##....######..#...#....##.##....#.########....##.#..#.##.###......#.#..#.##..##...#.#...#.###.###..#######.#.........##.####.#..####..######.#..##..##.#...######.#.....#.##.###.#.##..#..##...####.##.#.#.#...##.####.....#.#.....##.#..##.##.###..####.##.#....##.###....##.####.#.###..#.###....#.##.#.#...##.#.##.#.#.#..##..##......#.###....##.##.##.##.####..#..#.#..#..#.#...##..######.##.##..##..##...##.##..#.#...#.#.##..#####..######.....#####.##.##..#....##..####.##..#....###.##.#....#.######.##..#.#.#....#.#..#.####.#.##.#.####.####.#.###..##...#####.##.#...##..#.#........#
#..##.#......###....#.###..##...#.......#.####.##...#.##...#.#.#.########.##.....###.#.#...#.##.....#.####....######......########.#.#..######........#####..#.##.....##########.#.####.#########.####..#.##.##.#.######.##.##.###....#####.##.##.#####..#####.###.#.#....###......##.##.#.#.##.....#.....###...###.....####..###.##########.###.#.#.##.#.#...###.#.####.##.#..##.#.#.###.##......#.#...###.###..##.#..##.##..##..#.##.####.#....#.####..#......####.#.#.####...##.#.###.##.########.#.####.#######.#.#.#.#.###.##.#..##..#.##.#.##.##.##.....####.##..###.##..##..####..###...##.....#......##.###.##.#.########.#.##..#..###.#.######.##.#.#..##.####.#..#.####.#...###...##.......####.#.##.##.....##....#....##..#..#..#####...##..#..#.###..##.#####.####
#.##..######.#.######.#.##.####.#######.####...###.##..###.#.#.#..##.#.##..#####.#.#.#...#...######...#..####.....#####.####.#.##..#.##..#.#.######.#.###.####..#.###.###.#.........#.###.#.##.##.#....####..##.#.#......#...#..#####..###..##.#..###.##.#......######.####.######.#..######.######.####.##.###.#.#####..##..##.#.#.#.........##.#......#...#.#......##..#..##.##...#.##..##.####.#####.#.#.#.##..#.##.#..###..##.#.#...##..####....#.##.####.###..#.#.#.##.##.##..#.#.#.##..#....#######.#..#..........###.##.....##.##.##.#....##.##..#####..##...##.#.#.##.##..##....##...#############.###..#.#.#..........##....##.##..##.#...#.##.##.....##....##.##....###.#.###.#.#..##.####.#.##.#.....##.##.##.####.####..##.##.##.##..#####...##.#.##.##.#.###.#..#
#..##.....##.#.....####.....#...#.#.#....#.###.#.#..#.###..#.#...##..#..##.#...........#.###.#.##.##.##.##.######........##.....##.#..####...#.##.#####.....##.########...#.#######....#....##..########....##....######.###.#.##.###.##.##.##.#.##.#.#..######...#.##.###.......#.#.##.#.#..#....#..#####..#.....#.#.##.##.###.#...#########.######.##...##########..##...###.####...###..###.####...........###.#..#.##..##.###...#.#..##.#..####.#.#...##..#.##.#...#.##.##.###.#......##.####...#.#.#.##.######.#.#..##.##.###.#..##.##.#######.###.#.#.#.#####..#.#......##.####.###..####.#...##.......##.#...##########.##.####...##......#...##..##.##..##.###.....####.#.....#.####.##....#.#.#..#.#########.##...#...#.##..#.##.#...##.##.##.####....#.#..#.#...#.##
#.#######.#....#.#..##..###.###.#.....##.#.....#.##.#.#.##.#.###..##.#.########.#.#.#.####...................#.####.###.#######.##.#.###.###.#.....#.#####.#####.....##.#.####......##.####..##..##.######.######..........#.#.##................##.#.##.#.#.###.##..###.#.#.#.#............###.#...##.####.#####.#.#.##.##.##..##.##..#.#..#.#.#..######.##.#..#####..###...#..##..###...###..#.#####.#####.##.....##.#..##..#.###.###.##..#.##..#.#.###..##.#.#....###.##.....##.#####.##...###.#...#.#.#.......######..#.####.#.##.##..#...#.#.#.#.....#....##.#.##.###.##.#....##.###.###...###.#..####.##..#.####.....#.......###.########.#######.#######.#...######..##....###.#.##.#.#..######.##.#.#.##..#....#.#...###..##.#..#...####.......#.#..####.##.#.###...##
#.##..###.#.#######....##.#..#..#.#.####.#####.#........##.#...#.###.#.##.##.##############.#.#.############.#.#.#..#...#.##..#.#....##..#.#.#####.#.#.##..#..##.###.####.##...##.#.#.....#.####...........#...########.##......####.#####.#####.##.#....#.#......##..#..#.#######.#.#.#.#.##.#####....#.#..#.##..#.#.....#.###....###.#.##.#...##.##..##.##.#.##..###.#.###.#.##..##.###.#.##.....########...####.###.##.#..##.###.##...##...###.#...##..##..#.##.#..#...#####.##..#.##..##.##.###.#...#.####.##..#.####.#.#.#........##.###...#.#######.###.###.#.##.#.#.#####.###..#.#...###.##....###....#.##....#####.#####.###.#...#.#.....###..#..#.##...###..#.####.########..#........##.#.##..#...#.###.##.#...###.....##....##.###..####.####.##.##...##.#.#.#.#..#
#..#.##.#.#.#...#...#.##..##.##.######....#.##.##.##.##......#...#...#..#.#....#.#.#.#.#.########.....##.....#.#.######....##.#.####..##...............###...#####.#.#.##..############.#.....#####.##.#####.#......#######.#.#.#..##########.....#.####...######.###.##.###.......#.#.######.##....##.#.##.#..##.#.##.##....###.#..........###.....##..#.##.#.#..##...#..##.#.##.###.#.#.#.####.###.#......#..#.#.#.#.##.#.###.#.#.##.####.#...#.#.#####..##...#####...###.###.###......##......##.###.#.##.#####....#.#.......##.#.#......###.#.##..........#.#.#.#..#.#.#.##......##.#.####..#######.####...##.####..##.##.##.#.#...###.####.##.##.#.##.#..###.#.##.#.#.....#.#.##.##.#####.#.....##.#.###..#..#..#.#..##.#########......#.##..#.#.#..#...###....#...#.####
##.#.##.#.#####...#.#####........#.#...##.........##.#..##.#.###.###.#.##.#.##...........#.#.#.######..#####......##.####.##....#....####.##.##.#.####.#.#.###.##.......#.##.....#.##.######.##..#########...##.###.........#.#...###.....#.#####...######.##...#.#.#.##..#####.#.####.#..#.#.########......##.......#######.#.#######.#.##...###.#####...##...#.#####.#.##.......#.#.#.#....##..##..#########.#.#.#...##.#.##..#....#.##.#.#.#......#..#.##..###.#.###.#.#.#.....######..#####.##..#.........#..####.....#.#.#.#..#.#####.##.#.#.###.#.#####.........##...#.#..#######.#.##.##..##..##..#.###.#...#.##.##..#....#.#.###.#.#.#..##.#.....#.##.#.#...##.#.##.##.#.#..#.##.##......######...#.##.##.##.#.#.##..##.#...##.######..##.#.#.##...########...###..###
#....##...##.#########.#..#.####.#.#.######.#.#.#.##.#.#####.##........##.########.#####.......#.#.#..##.#.####.#.#..#.#..#####.#.#.###.####.######....#.#..#..########.#.###.##.......##....##.##.#.#...#################.#####.##.#####.#.#..####.........###.#.....##.##..############...#.#.#.##.####.#....###.#..#.#.##.#..##..#########.#.#.#.#.###..###.....##....######.#.#.#...#.####..####..##..###......###.##....##.####....#.##########.##....#.####.#...#.#.#.####.##.#.#..##.##..##.##.#.##.##...##....##.####.#.##.#####.#..........##############.####..#.....##.......#.##..##....####.#..##.#.#.#..#..##.####.#....##.#.#.##..#.####.##....#.#.####.......###.##...##.###.##.##.##.###...##....##.#########..##.##.......##..#.#.#..##.###..#..##.###..##.#
###.#####.##.#..##.#.....#####...#.#####.######.###..###..######.##.##.##.##.#..####..####.###...#.##.#..#.##.###.##.#...##.##..###.#.#.##.###.#.#####.#.#.##.##.#.###....#.#####.####.#####.#.....#.#.#.#..##.#........####.....##.........##..#####.##.##.#.#.#####.##..##...#.#.#...####.#.#....#.#....#.#.######.##.#.#..#.##..##.#.#.###.#.#.#.#.#...##.###.#####.#......###.#.###.#..#.##.#.###.###...######.#.#.##.#.##....###.###..##..#.....#####.#..#.#.###.....#.#.##.##.#.##.....##..######..#####.#########...##.########.....##.###.####.##....#.##...#######.#####.###.#.#....#####.##..#.#.##..#.####.#.##..##.....####..#.#.##.##.#....###.###....#.####.####......#.####.#.#..##.##.###.######.##...#.#.#####.##.##.#.#.#####...#.#.##..#.##.##.#....##....#
#.#.#.##...#.##.##.#####.#.#.###....##.#.........##.#####.....#...#.#......#.##.#.###.#.########.#.#..##......##..#..#.#.#..###.##......##.##..........#.#..#.##.....####...##.####.##.#.......###.#.###.##.##.########.#.####.#..####.#.##..#.##...#.#..#.......#.#...##.#..#.#...#.###.#......##...###.##.###.......#.#.##.#.###.##.#...#.........#.##.###.#.#....#####.###.##..#.#...##...##...#.#.#.###.#.##...#.#.#..######.##....##.####.###.#..##.#.#.##...##..###.....#..#....##.###..##..##.###.#...#...##....########..##....#.######....##..###.#...###.##..##...##..#.##########.#..##..##......##....#.#.#.##.#######.##.##.#.#.#.....####.#.#..####.##.###...#.######.###.#..####..#.##.......#.##.###.##.#....##.##.##.######....###.#....##.##..#.###.###.####
#.#.#.####.#.#...........#.....#.##......#.#.#.#..####.###.##.##.#########.#.#..#.#.#.#...##..##.#.##.#######..##...####.##..#..#######.#...##########.#.#.##..#####....##.###.#.#.....######.##...#.##..##.##.###......#..######..#...#####......#.############...###......######.#.##..###.#.##..#...##########.#.#........#.#.#.##.###.####.###.##.##.##......####.#####...###.#.##.#####.##.###.#...#...#....#...#.#.###.##..###.####.#.#....###.##..#.#..#.#######.#####.##.#.##.####.##..##.#...######...#######.##.#...##..#########.#...##.###...#####.....##.#####..##......#.##....#.##..########.##.####.#.#.##.#.##.......##.#.#.#.######...#.#.##.......#.#.###.#.#.##..##...###.#.##.###.######..#.#.#..#...#.##.........#.#.####...#.#.#####.##.##..##.....#.##
#...#.#.##...###########.#.###.#.###.#.#.#.#.#.##.#......####.####.#.........##.#.#.#.###....##....##.#...#.##..###..##..###.##.#.####....#..##.##.......#.###.##....#.##...#....#####.#.#.#######....#.##.....#.##.#.#...##...###...####.#########.##..##.......#.########.#.##......##.#...#####.###.###.##.#.#.####.#.#.#.....#.#...#....##.###.##.##..#####.##.##..#.##.#..##.#.##.##.#..##.##..###.###.####.###.....##...##...#..#.#.#.####..#...##.#.#.##.#.#..#..#........####.#.#...##.##.#.###.#..###..#.##.#.#..#.####.##..##.#.#.######...###..##...###.##.#.##..##..######..##.#.#..##...###....##.#.#..#.#.##...######.###.........#.#.###.#.#..###.#####....##......##..###.##.....#.#.#......##.#.#.#.##.############.###.#.##...###.......#.##.###....##.##..#
###.#....#.####.###......#.#.......###.###.###.########.###.#.#.##.######.##..#.......#.####.####.##..###....##.#.##..##..#...#.#.#..##.####....########...#.#..######....#...##.........#.#.#..#####.#..##.##...#..#.###..#.###...#.###..#.######...##.##########.#.##.##..#..###.#.##....#.##....#.....#.##.#.#####..#.###.#.#.#.###.###.###.#....#.##.##.#.......##...#####......##.#....##...##.#.#.....#....#######..##.#####...##.#.#..#.##.##.##..#.#.#..#.##.##.#####.##.##...#.##.##..#.....#..#.##.##.#.##.#.##....##..#..##......#....###.#.##.######...##.#.###..##.##.#.##..###.#.##..###.####.#..#...##...##.###.##.....##.#####.##.#.#.#.#.##.......##..#####.####..##..##.#..#.###...##.#####....#.......#.##..##.##..##.#..###...####.####.....#####.#####.##
###.####.#..##....######.#.###.#####...##...##.#.##.##..........##.##.#######...#####.#.#.##.#.##.###..###.#....#.###..##.###.#...#.######.####..##....#.###.#.##..######.##.###########.......##..#....########.#.#######....##.#.###.##........###.##.#.###.###..#.##..##.##..####..#########.##.#####.........##...#####..###.#.#...#.#.#.######....#.##.###.########.....######....####..##.###.#.##.##...####.#.#.#.##...#.#..####.#.##.#.#...#.###...#.##...##.##.##....#...#.#...##..##.#####.##.#.##.#....##....#.##..##.##.#######.####.#.....##.#......#..#.#..###.##......##.##.....##.###..#....##...#####.###..##.####.###...#.#####.#.#.#...#######.####.#.#.####...##..##..#.##...#.###....#.####...###.###..##.##.##.##....##.##.####.....####.##.#.#...#.#..#
#..........##..####..#.#####.###.....#####.#####.......#.######.#.......##.#..#.#...............#.#.##.#.######.#.#.##........##.##.#.##.#.##.#.######...#.#...##.##.##.#.####.####.##########..##...##.#.##.##..######....##..###.#...###.###.#..#...#.......#.##...###.##.##.##.#..##..##.#.###..##....##.####....#.##....###......#.......###....##....#.#...#..#.#.#.########.####.#.#..###.##....##.#..###...........###.#.##.###..#.##...#.#.....###...##.####.#...####.###.#####.##.##..##..#.#.........#.######.#####.##.##.#.#......##..###.#..#.##.#.####...#.##......##.###...##.##......##.####.####.#.##....#.##...##..#.###.#...##..#.#.#.###.#..##.####.....##.###.###....##.####.#...##.###...####.#####.#.###..#.##.###.####.#.....##.####.##.##...##.##.##.#
##########.###..#.##....#.##.#####.###...#.##.#####.##.###......######.##....###########.##.#.#.....................#..##.###.....#.#.#..#.#....##.#.###...###.##.##.#..###....................##..###..#..#..#.###.#.#######.########.....#...##...#...#.###......#..##.#..##....##..##..#...##########.##.#....##.######.##...#.##.#.#.#.#.#...#.######...###.#.##.#.#.#.#.#.....#.......###..##.#.################.###.#.#.#.##.#.##......#######.#######.#..##...###...######..##......###..##.#.#.###.###.####.##..##....##.##...#####.####.#.####....######...#...###.#####..#.##.###########.##.##......#...#####...####.###...##..#.#####.#.#.#...#.#.##...##..######.##......##..###.#....###..#...###......##....#.##.#..#..##.##.#.##.#.##....##.#...###..#..#.##.#
#........#.#.##.#.####.##.#..#.#...###.#...##.......###########.##.#.#.#####.#...........#######.#.##.#.#.#####.#.#...##..##..###.#.#.##.#.####.##.#.#.##.####..#..#.##...####################.########.##.##.#.#.#............#.##..##.#.########.##.#####...#.#####....##.###.#.###..##.##.##.#.#......#########...#.#.###..############.#####.####.####.##......#.#.#.#.#.#####.#######.#...#####..#.##.#..#.#.....#...#.#.#.......##.###...##.#..#.#..#..#.###.#..####.#.##...########..###..#.#.###.###....#.#.#..######.......###.##..##.#...##.###.####..#.#.###..#......####.#..##.#.#...##.#...######.#.###...##.##.#..#.#.#####.....##......###.#.#..##.####.#.#.#..##.####..##.###.###.##.##.#.###.#####.##..####.##.##.#.###.##.#.##.#####.###....###.##.#.##.#..#
#.######...#.##....#.#.##.##...##.##.#####.####.##.##....#...............###.#######.##.##.#.....#.##.###########.##.####.#..##............#...............#.##.#.##..#.####...............#....###.............#.###.##.####.##..#.##..#.#.#......#####.#..#.####....##.....####.#.#.###.##..#.#.##.##.##.##.#.###.##....######...##.##....##.####.#...#...###.####...#.#.#..##.....###.....#..#.#..##....##.....###.###.#.#.#.###.######...###..##...##.##...#.####...#.....#.#..#.#.##..##.##.#.#..#..#####.##.#.##..##..##.##.####..###.#..###.#..###.##.##.########...##.#####..#.##......###..#.#####....#.#####.#...#.##.....#.#.#.########.####.#.#.##..#..#.#.....##.####....#####....##.##.##.#..##..##.#..#.###....#.#..#.##..##.#.#...##.#..#####.....##.#.##...##
#.#......#.#..####.#.#.##.####.####.........############.####.###.#.####...###....########.###.#####..##..........##.##.####.#..##.#######...#.##.#######.##.#.....##.#.#.#..##.#.#.######...##.#.##.#####.#.##.#...#..####.#.###....#.####.###.####.##..#######.########.##..##......#.#.###.#....####.#.........#.#####..###.###.#...####.##.##.....#...#..##...####.#...##..####.##.###.###.##.##.#####.##.#.#######...#.#.....#.#####..#..###.####.#...##.##..#.###...########...#.##.###......##.#.##.#....#.#.#..##..##..#...##..##.#.##.##....##.#..#.#....###.#..#..###.#.##.#.#####.######....##.####.#...##..###....###.###.#.#.#...#.#...#.#.#.#.#..##.##...#####..#..####..#.#####.#..##.##.#.##..###.##.#.#.###.##.##.#.##.##......#.#....##.##..#.###..#.##.####
##########.#.##.#....#..#..##.....###.#.#.###.###.#...#.......#########..#..#####...####.......##....######.##.#.#####.......##..####.#.############.........####.###.#.#.##.####.###......####.#.####...######.##.#######..#...###.######..#####.##.###..##.#.#....##.######.#######.#.#.#...#.#.###.######.#.##.###.####.#.#.#...##.###....#.#########.###.###.##....###.#..##.#...#..#####..##.#...##.#..######..###.#.#.#.#.#####.##..###..##..###.###..#....##..##.#..##..#####........##.#.#.......#.####...#.##.###..##.###..##.#..#.#...####..#.##.#.###.##.....###..##.#.##.#..##.....#.#..#.##..#..#.##.####.#...######.##......#.###.###...#...#.##.##....###.#.##.#.##....##..#.#..##.##..#....#.##.#.##......##.##.##.#.#...#####.#######.##.#..#######.#.##....#
#......###...#..####...##.##..#####.#.#####.#.#.#.###.###.#.#.#.......#####.......#..##..####.##..#.##......##.####....#.###.###.##.......#.#.#......#.#.##.##..#.........##..######..##.#.#.......#####..#.#.#.##.#..##.##.###.#.#.#.#.#..##..........##.#......##....#.#.##.#.#...........#####.#....##....####.#............###.#....####.#.#.#...#.#.#.###.#..##.###.#.#.##..##.##.##.#...##....###..#.##..#.##...#.#...###.##.##.#..##.##..#.##.....##.##.#####..####..##..#.#..#.###.###.#########.#.##.###.......##.#####.##....##.#.###.#..##........#.#..#######.#.###...##.##..#.#.###...##..##.##...##..#.#.###..#.#.#..##.#####.##....###.##.##....##.####.#...##.#.#####.###.#.##.##.#..##.####.##.#.##.#.#####.##..#.#.##.###....#.#.##...#.#.##.#..##.#.##.####
####.#.....#...####..####.###.....#.#.#.........#.#....###########.##..############.#######....############.##.###..##.#.#....#####.#.#.#.......##.#.######.###.#####.#########.###..########.####.#...##..........#.##.............#.#.##..##########.#..#####.####.#............##.####.######..####..##.####.#.####.#.#####.#.....##..###.#.#.###.....#.##..##..#.##.......##.#..##.#..###.####.##.##.#..##.#.####.#####.##..##.#..#####..##...#####.##...#..##.#.###.#.####.....##.##..#.####.#.##...#.##..###.######..#.##..###.#..........#.##..#.###.##.#.##..#.#......#.###..##.####..########....#..#..#.##.#.#.#.##.#...##...#.#..###.####...#.#####.##........####.#...##...##.#.#..##.##.....#.#.##...##.###.#.#.##.##.#..#...####.#.#.##.#.....##.#.##.....#....#
##.#.####.####..#.##..##...#..#####.###########...####.#.#.#.#.#######...##.###......##.#.####.#.#.#.##......#.#...##..######.#.##..#.#.##.#.##.##.####.#.......#.###.#.##...##.....##.####.####...###.#..#.#.#.##....#############.#.#.###..##.#..#.....##.....##...###.##.##.####..#......#.#..###.##..###.......#######.....#####..##.....#.#.#.#####.#.#..###.##.####.###..#.##.##...##....##..##.#..#.##..#.#.##.##....##.###.#.##.#...##..###.....####...##....##....#..#####..#####.#..##.......#....#.##......####.#.#..##.#.########.#.#..##.####..##....##.#.####.###..###.....##..##..##.###.#.#####.#.#....#.#....##.####.##.#.##....##..###..###..###.####.##....###.####.##.#.##.#..####.###.#..###.##..#..#.#.##..#.##...###.........#####.#.##....##.####.####
#..#####...####......#####...##..#...#.#.#....###.###............##..###....#.######......#.####.#....###.#.##.#.#..#####...###....##.#..###..######......#.#.#...#.#....##.##..#.#.#..#.#..##.###.##....######.###.#.................#.#.##....##.###.#######.#####.#...##..######.#######.#.#.###...##...#######....#.######.##....#######.#...............##.#..#..########.#.##..###..####.###..#.##...###.#.#..#.##.##....##..#.#..###..#.##.#####.#.##.#####.#######.##.##..##.#.....#.##############.#..###.####.#..#.#.##..####.#..####.#.#####..##..###.##..#.##.#.#...##.#####..##.##.##..#.###.#.#.#.#.#.####.##.####.#.#.......#####.###.#.#.##.##.#......#.##.####.#.#.#...#.#.#..#.##..........###...#.##.##....##...####..####.##.##########..####.##..#.#....#
##..##.#####....#.##..##.##.####.##.##...####.........###.#.####.###.####.#....#.########.#.#.#..###.##.#####..######...###..#####.#######...########.#####.#.###...#.#####.##########...#.##...#..#..####.#....#.#.#.#.###.##.######.#.#.#####.##.#...###..##.##....##.####.##...####........#.##..####.####.#.###.###..#......##.###.###.#.##.##.#######.###..#.##.##..#..........##.#.##....#.#.##..##.##.#.#.##.#.########.###.#.#.#####...##.#.#.#.#.#..###.#...##..........#######.#....##.#.##.##.#....###..#.##.##.#.#.###.##.....##.#..#.#..###..##.##...##.#.#....#.####.#...#.##..##.###...##..#.....#.#.##...##..##..#.#####.###.#.....#.....##......#########.#.#..#.....#...#.##.#.###.###.##.##.###.#.##..#.#######...##.##.####...###.#..##.##....##.##.#.####
###....#..#####.#.###.....#..##...#..###......##.#.##########.#...#.......####.....###.#..#.#.##.#.#.##...######..#.###.#.##.#.....#.#...######.##.############...#...#.##..#.##.####..#....###.##.#######.####.#.#####.#...######........#.#.#.#....#...##..#########..##....###..#.########.#..#.##.#...##.....##.#.##...####..####....#.#.#######.........##.#.#...##.##.###.#.#......#####.#....##.#..##.#.#.#.....###......#......#..####..#.#.........##.....#############...#########.###...........##...##.#..#.#....#.#.#..###.#....##...##.#.##.#..####.##.#.####.#....#.###.#..##.#...##.#..##.#####.#....###..##..##....##.#.#.#.#####...########.######.#.#.#.#.##.########.##.#..#.#.#.#########.##.......##.#.#.#...###..#....##.###.#.##.##.#####....##......#
#.##.#...##.....#.#...###...##..###.########.#####.#.....#.##...#...###.###....###.#...##........#.#.#..###.#..##.#.##.........#.#.#...#..####...#.#.#.....#.####.#.#...##.##.##..#...##.##......#.##....#..###.#..#.#..##.##....########.#...#.########..#.###...#....##..#.#####.#..#######.#.##.#..###.#..###.#..#..#####.##.###.####.......##.##########.##.#...###..##.#...#.####.#...###.####..#...##..#.#.###.###.######...######.##.#..##.##.######.####.###..#####..#.#.###.#.#.....#.##########.##..#....##.#.####.....#.##.######..###.##....#.##.#.#.....#.####.#.####.##..#.###.###.#####..#.#.#...#.####.##..#.##..#####........#.####......##....##...#.#........####.#.#....##..........##.##...##.##.#.#..#...##.##.##...#####...#.#.##.##.#..##.#####.######
#.######..#################..##.###..#.#.######.####.#.#......#.##.##.###########....#....#.#.##.....#.##.#.#.##....#####################......#.#...#####.#..########.##...#..##.###.#..###.#.#....####...##.####...##.##.###.#............#.........###.#.#.###.##.#..##.#.#.....##................##.#.####.#.##.#.##.##......#..##...#.##.##...#####..........###...#####.#.###....#.#.....#####...#.###.#.#.##...##.#...###.##..#.#.##.##.#...#####.#...##..##..##...##.....###.#.#####.#.##..##.#######.##.#.#..#....###.###....##...##..##..####.#....#.#####.#.#....#..##...##.#.#.#.###..##.##...#.###...##...###....##..##.####.#####..#.#.########.###..###.#.####.###......###.########.##.###.####.##.######.##.###..##....####.#..###...##.#....##...###....#.##
#.#......##.#.##.#.......###.#....#.##...#..##....#######.##.##..###..............#.#######.########....#.#...#####........##.#.#.#..##...#.#.##.#.#####.#.##.#..##.......#.#.##....####.#.########.#.####.##.##.#.###...###.####.####.#.#.####.#.###.........##.....#.#########.#..####.#.###.####.##..#.#.#.........##..######.##.########...#.###...#.#.######...##.##.##..############.#.#.....###.###.#......##.###.###........##.#.##..#.#.####......#..##..#.#####..####.##.#...##.##.#.#..##.....#.#######.##.#.####.....###.#####.###....##....####.#..##...#.####.#.#####......#.#.#.##..#.####.#.#.###.####...###.##..###.##.#...#.##.#.....#.#.##...##..##......#..#####.###....#.###...#####...##........###.##.#.#.######..#.#.#.##.###.#..##.###..#.#.#.####..#
#.######......#..#######...#...####.####.##.#####..##.##...###..##...#.######.#.#.####......##..#....####.##.##.##########.##...#.##.###.######.....##.#...##.#.####.#.######.####.###.###.####.###.#..###..#.#....#.#######..#.###....#####....##########.#.####.##.###.##.#.#####.#.##########....##.##.#.##.#.#.#.####...#.#...#.#..##....#....####.#########..####.##..##.#...#.#.#.########.#.##..##....#.##....##..##..##.#.#.#.....##.#.#.##.#.####.##..##....##.#.##.....#.###.........##.######...#.##.#...#.#....##.##..##.##.#...#####..####..##..##.####.#.#.......##...##.###.#.#..##...#.##.#.#.#.....###.##....##.#.#..#.#.###.##.###.###...##.#####....#########.##..######.....##.##.#.##.##..########.#..#.#.#.##.####.#.#.#....#.#.#.##....##.###.#..##..##
#..#.#.######.#.##.#...###.##.##.##..##..#..#.##..##.....#..##.###########....######.##########.####..#.#.#..##...#.###....###.##......###.##...##.##..###....#..##..#...#.#...###..#..##..#.#........##.##.#.####....##.#.##.......##.##.##.####.....#.#..#############.#..#.#.#.#.#.#.#.#..####.#..#.##.#.######.#..#.###.....#.#.#.##..####.##...##..#.#....##..##..#..#######...#.#.#.#.#.####.##.########.####.####..#######.#######.##.#....#.###.######..##.###..#..#####.#.#.#.#######.##..#..####....#.###.#...#########..#.##...###..#..##....####.#..#.##.#.##.##.#####.#####.#.....#####.#.#..#.#.###.###.#..#.##......##......##......#.#.##.##....##..#.##.#...#.#..##....###.###....#..#.#...##...##.#.#...##.#....#.#.#..#.#.##.###.#.#.####.##...#....####..#
##.................###.#......#...##..##.##....##..##.#.###..###.#.........#.##.........##.##.....##.##.#.#.##..#...#.####.#.#..######.#....###.#...##.#.####...#######.##.##.##.##.##..##.#.########....##....#...#####.#.#..#.######.#.....#....#.#...##..#.##.#..##.#.##.#.......#.#.#.##...#..##....#.#..##.####.##.#####.#.#.....#####.######.####.#.####.###..#.##.###.##...#...#.#.#.#.#.##.#..#.#..#####.##..#.#.##.#.#...##.#.....#.###.##.##...##.###.##...##.#.##.#...#.#.###.#......##.#.##..####.......###...##.#..##....###..###.##.#####..#.#.##.#..#.#.##.#..##.##...##....#.#.#..#..#.##...#..##..##...####..#.#.#####.#.###.####.#.#.##....##..##.####.#.###.##.##.####.########.#.##.##.##..####.....###..#.##.#.#.##.#.#.#......#.....##.##.###.####....##
#####.#.###.#.#.#.##...######.#.###..##...#.######.##.#...#####..#######.###.#######.##.......###............######.#..........##......####..######.##...######.#.#.##...#.##.##..#.#..##.....#.......##..####.#.#.#.##..#.#######.....#.##.####.######.##.##.##.##.##........#.#.#.......##.#...####.#...##.##..##..##.#.....#######..###..#.##.#.#.#..#...#..#.##........#.########.......#.#......##...##.##..#..##.#.#..#.###....#####.#.#.#.##.####.##..##.##.###..#.##.###...#.##..######.#..#.###..#########..##.####.#.##..#####..##.......###..##.#.##.##.#...#####..#.#..######.#######.##.#..###.#.##..#####..##..#######....#...###.........###.#######..##..#.###....##.##....##.#.#..#.##.##.###....##.##...##.####.#.#.#....#.#.#.####.#####...#.#....######..#
#.#######...#.###....#...####.#...##.####...##.#.#.##########.##.##.#....#...#.......#######.##.####.##.#.##..##....##.##.####..######.#....##.......###.#..#...#.#.###.##..#..##.#.#.#######...##.######.##...###.#..##.#.#.#.#.###.#.###########.#.#......#.##..#..########.#.########.##########...###.##.###.###..#.#####.####.#..##.##...#..#.#.##.###.##...##.########..##.#.########.#.######..##.##...##.##..#.#.##.#.##..#.##.##......#.##.#.#...##.#..#...###...##.#.#.#.#.##.##......##.#.#.#.##.#.#..###.#...##.....##...##..########.##.##.#....##.#..###..##.#.##.##...#.#....#.##.......##......##..#.#..##..##.#...##.#####..######.#######..###.#..####.....####.#..####.###.....##.##.##..##.#####..#.####..##..#.#.####...#.####.#.##..###.....####.##.##.#
#...######.##.##########........###....#..#.#..#....####.##.#.#.....###.##.#.#########.......#..##...####.#..######.###########.#.#....####.##.#.##.###..##.###.#.#.#...###.#.##.......#.#....#.#..###.....###.##..##.#..#.#...#..#######.##.#.##......##.###..##.##..##..#.#.####...........####.#######........#.##...##..###.#....###.####.##.#.#.##.##...###..#.##..##.#.##....#.###....#...##.##.#...###.##.##.##.#.##......#####.##.##.#....#.#...#..#.##.###.#.##.###...###.......######.#....#.#.##.#.##.#.#.#.#..###.###..#..##.#.##...........##.#..#.##..##.##..#.##.####.#.##.###....####.##..####.##.##.##..##....#.###########..##.#...##.#.##..#....##..#.###..##....##.##.#.#####..#.##..##.#....##..#####...####.#.#.#.#..###..#.#.#.##.##.#.#.#......##.#..#
###.#.#..######.#....##########...####...#####.####.#.#...#.#.####.###..####.###.#.#...########..##.##.#####....##...##......#..#.####.#.#..#######...##............###..##....#######.#.###.#######.#####.##..###..#.#.##.###.##.#.#.##..#.......#.##.#..#.#.##.....####.#.####.####.#.#.#.##.......##...##.#.#....#.###..##.....##.#.#.#.##...........####..###.#..#.###...#####.#.#.####.##.##.......####.....##..#.#..####.#..##.#..#########.#.######.#.##.....#.##...###.#######.###.#.##.####.....##.#.#......####..##.#.##.####..#..####.######.#####.#....##...##.......##..#.##.#.####.##...###..###....#..##.##..####..##.#..#..##..#.##.###......##.######.#.#.####..##.#..#..#.##....##.#..##....######...#.##.##.#....#.#.##...#.##...#.##.##.#.##########..##.#
#.......####.#..###.##.#####....###..###.##....##...#.###...#..###...#.##....#.......####.....##....##.#.##..#.#####.###.###.##.#.##.#.#...##.#.#.#.###..#######.#####..######..##.#.......###.##.#...####....##.##.........##.##...#..##...##.#.########......####.##.#.....#....#.#######....#.###....###..###.##...#.##..#####.#.........##.#.###.##....#.##.#.#.##.#.#.###..#..#.#.#..#.##.#######.###...###..##.#.#.##....##....#.####.#..##.#.##.#.#.#.####.#....##.##.#.#.#.#...##..#.#..#.#..#.#.##.#.#####.####..##....##.##.##.#.##.#####..#....##..####.###.#########.##.##.##....#.#.#..#...##.#...##...##...##....##..#.##.##.###....#.#.######.....#.##.......#######.##.##.#.#..##....#.##..#####.##..###.#..##.##.###.#..#.###..###.#.#..##....#.#...####.##.#
#####.#..#.....###...#.#...####...##..##..####..###.#.##..#.##.#...#######.########.##....###..###.##.....####..##....####.........#.#.###..............##........##.##..#.#...###.####.####........#......##.##.######.##.##..####...#####.######.#......#.##..##..##.##.##.####....#.#....##.######################.#.##.##..############.########.#####.#.##.#.#..#.#....###.##.#.#.##...#..........#.###.####.##.#.#..####..####.#.##...##.#..#.##.....#.#.#..###.###.##.#.....###..##.#.##...######.#......##.....##.#####..#.#..##.......##.##.###.####......#...##....#..........#.####.#######.######.#####..##.##..#####.##....##.....##.#.#.#.###..###.#.####.#####.###...##....#...####.#....##........##.#.#...###.##.#.#.##.#.#.##.#.....##..###.##...#.#.##.#..#
#.######.#####.##..#...###.#.#..#..##.##.##..##.#...#.#####.##.#.#.#.###.####.###.#######.#...####.#..#.#...###..###.##.#..####.##.....#.##.######.##.#..########.#...#.##.###.#...##....#.#####.##.#.#.#.##.....#.#..#..#####.#.###.###.####.####...##.#.#####.##.##..##.##.##...##.#.#.#########....###.#.....#.#.....##.##.##.##.....#....##.#..###............#.##...#.##...#.......###.#.###.####...#.###.....#.#.#.##.##.##....#.####.#..##...######.#...######.#...##.####.###..##.....##.##.#.#..##.#.#....##.##...##.##...##..#####.###.....#.#....##.###...#.#####.###.######.#.#.##..##.#.#.#....###.#...###..##.##.#...####.###.##.#........#.##...###.#.##.#####...###..####.######.######....###.####....#.###...........#.#.#.##...#######.#......#.###..#.##.#
#.#.##............####.........###..#.##.##.##..###.#...##..##.###.#.....##.#.....###.###.###.##.####.#.###.#.#.##....#.###########.##......####....#.#.##....###.###...##.##..##.####.###.##.#..############.##...##.##..##.#.#.#...##...###..#.###..######.#..##.###..####.#######...#####.#...####.....#####.....###.##.#......#####.####.##.#.#####.##.#.####....#.########.#######.#.#.####..##.###.#.#######.....#.#...######.##.#....#.#####..#.#.....###......#.####.#.#...#..#######.........##.##.#.###.##.....#....##.#####.#.###.##..#.#.....##.####.#.###.#...#...#.##..##.#....##..#.#.#...######.###.##..##..##.#.#..#.#.#.#.####.###.####.#..#..##.#........#.###.##.##...#.##.#.##..##.######..###.####..###.######.###.#.#.#..#.##.##...#.###########...##.#
#.#..###.#.####.#.#.#..##.###.#####.#.##.##..#.##.#.#.#####.##.##..#.###.##.#####.#.#...#####.##...########.#.#.##.##...####...#..######.##.#..####.#######.#......####.##.###.##..##...##.#....##.....#.#.#..####.##.###.##.....###....###.##.......##..##..##..#.#.#.###.#..#.##.###.##..#.###.##.#.#.#.######.##.#........##.#...##.......#.....#..############.###....##......#..........#.##.#........#.##.#####.##.#.###...##.##.####...##.###.#.#####...######.#.###..#.###.##..##.#######.#.#..#..###.#####..#.######.....#.#....#.#.###.##########.#.#......#.###.###.#..##..######.###.......###.##.#.##..###..##.##.#.##.......###....#.....##...#####..###.######..##.#..####.#.#.....##.#.....#.####...##.#.##.####.##..#.#...#...#####.####.#....##..#.#..####.#
#.##.#.######.#####...##..#####.#.........##...##.#...#.##..##..##.#####.#..###...#.###..##.#.##.###.##..........######.#..#.#...##...########..#...############.#..........#...#.##..###..##.########.....####.#...#.#.#..#####...####.##.....#.##.####..##.###.#...#.#.#.##.#.........##.#.#......#####.#......##.##.#.###..#####..#######.#####.#.#########......#..##########.###.##.###.#.#########.###.#.........#.#.#.##.##......#.###.#....#.#.#.#...###.#.#......##.#.#.#....##..........####.#.######...####.#######.####.####......#####.#.#.#...#.####.#####...##..#.####..##..#..######.####........##.....##.....#..##.################.####.##.###.###..##..##.##..##.#.#..#.####.##....#.###..#.##.###.#.##..##...##.#.###...###...#.#.##.#.####..##.##..#.#.#
#......####...##.#..#..####.###...#.#.##.####.###.###....##..##.....##.#.##.#.###.....##....#.##.##...###.######.##..##.#.#####.##..#...#...###.#####.#.##.#.....#.########.###.#.#..##.##.#####.#.#.#####.###....#.....##...##..#..#......#.#.######.###.#......#.###.#.#.##...######.###.#.####.####.#..#.#.##################.#..##.###...##....#..#.##.#.######.#.##.##.#..#....######...#..###.......##.###.##.##...#.#.##....#.##....##.####.......###.##......#.####......####.######.##.####......#.##..###....#.#......#.#.#..#####.##.##....#.###.#.#.##...##..#..##....##..####.#.##..#.#....#.#####.##..##.#######.#.#####.##.#.##.#..#....##...#...#.#.##....##...##.##...##.#.##.#.##.##.####..##.....#....##.#####.......####...###...#.##.....##.##...#.##.#.#
######.#.#..#......#######..#.###.#.#.##...##.##...####.###.###.#.#....#.#..#.#...###.###.#....#.##.###.######...##.##.....##....######.##.##...#..##.#.##...#.#.###..............##.##.##..##.#.............########.#..###.######.###.##########....#...######.#..##...#..#.###........#.#.##.#..##..##.#####.#.##.###....#.#..##.#......#..####.##.#......##.##....#...#.##.###.###.#####.#.##.###.#.#..#.###########.#...#####.#.#..##..#.##.#######.#.#.#########.##.######...#...#.######.##.#####.##.#..##.######.#####.##.#.#.##.#.#.#..#####.#.##.........########....######..#.#.#..##.#.#.#######.#...#.##..#.##.##.....##.......##.##.###.###.###.###.#.##.######.##...###......#....####...#.#.####.####.#####.##..#####.#..#.#.#######.#..#.######.####.#.##...#
#..#.#.#...##.#.#.##.#.#.##.......#.#.####....####....#.#.....#.###.##...##...#.###.#.#.####.#....#.#.#.##...###.....#####.#####..##....#..####.##.........#.#.#########.#.#.#.##.##.#..##.##..#######.#####..#.##.#####.###..#.#....######.####.####...#........##.####.##.#######.#.##.....##.#.##..##...##.....##.#.####.#.##.#..#.##.####.#....##.###.##.##.#####...###..#.#.#.##..#.###.#..#.#.######.#.#..##.##..#.###..##.###.#.####...##.#.#..##......##....##.##..#.#.###.#.#...#.###..#........#..##....##.##.........#.#.#.##.#...#.##.###...#######.##..#..##...##...##.#.##.....##..#.#...#.#...##.######.......#.#######.#######.##.....##.......##.#..#..#.##..###.#########.####.#.##.#.#....##...#.#.###...#..##...#.####.......###.##....###.#..##.....##.##
##.......#.##.###.#.......####.#.######.#####..######.#.##.#############.####.####....#.#######.#.......####.....#.#.#...#...####..####...##.##.#######.#.########.#.....#.#.#.#...#...###.#..##....######.##........#.#.#.##.#.####.#.##.#..#.#.##.######.#.#.#......##..#.##...###########.##.#.#..##..######.#....#..##.....#.##.#######...####.##.#.###.....#...###.#.##.#......##.........##...##.#.....#.##...##.#.#.#.##....#####.#..#........#######.####.#.....##.....##..#####...#.###########...#####.##...##.######.#......#.#.#........###..##########.#.###.####.###..#..###.#####...#.###.#.#.....##.###.#.##............##.#.#..#####.##.#####.##.##.#.##.#..##.#.##.#.##....##....####...######.##.#.#.###.#.#####....#.###.#####.#....##...#...######.##...#
#..#.#.#.#..#########.###.#....#.#.#.##.#.#.#.##......#.#..#.#.##..#.#....###.##.####.#.#.#.#.#########.#..#.#######.###.#.###.###.#.####.#..##.#.##..#####.#.#......###.#########.###.#.#.#.######.#.#.....######.#..........#.##...#.#..#.##...#..##.#.############.###....###.....#........#.#.##.###...##.######.##..###.#.......##.#.###......#......#####.#.#####...##.###.#.####.#.####.####.##...###...###.##....#.#..##.####.##.#######.###.####.#..#########.#######.###..#.#..#...#.##.#.####.#..##....##.###.#........####.#.#.###.#.##.....##.......#....#.####.#..###...##...#.##..#....##.######.##..#.#####..#.#.##.#####....#.##.#.#..#.########....#..#.#.###.#.##....####..###.##.#..###.#.#.......#.###.....#.#.#.##.#...#.#.#.###.#######.####..#...##.##
#.####.#.#.####.##.#..#...####.#.#........#.#.###.#.#...#.##.#.#..##.####.#.#.#..#..........#.###.......##...##...#......#.##.........##..##.##.#..##.##.##...##########.##........#.#.#.....#.#.##.#.#####.##.#.############.#.##.#.....##..###.#.##..#....#.#.###.....##.###.#####...##.#.#.....##.#.##.###.####...##.#######.####.##.#..#######.##.##.##.....#..##.#.####.#.#.#.##.#####.##.#..#.######.##.##....####...#.###..##......##.#.####...##..##..##.##.##.##.#.#...##.##.######.#.#.......####....#####...#.###.###.##..#.#.###.#####..###..#######.##.#...##.....##.###..###.#.########.##..##..#..##.#.##.###.######..######.##.##.#.##........#.#.##...##.#.##..#..###.##.##.##.#....##.#.#...##.#.####...##.####.###.#....###.#.#.....#..#.##....##.###.##..#
#.#....#.###.......#.####......#.##.#.#.#.......#######...##...#.##..#.#..#.#.##.##.#.#####.#.#.#######.#..######.##.#.#....###.##.##.#..##...#.#.##..#..##.#...#####....###.#####...#.###.###.#.#..#...#........##...........#.########.##.##.#.#.###.####.......###.#..#.###.#..######..#####.#.........#.#.#.#..#.....#.##...##........##...........########...##.......#.#.###.##.##.#...#.##.#..##.##.##..###.##..###.#.#.##..#####.##..#.##.##.####.#..##..##....##.#.###.#..##.#.#.#..#.#######.##.####.###.#.#####.###....##.....##....######...####.....##.##.#####.#....#.#.##......#.#.##...##..##.##.##.......#.......####..#.#....##.#.#..#.####.#.######.##....##...##.#.#........##.###......###..#....###.#..#.##.##....####.#...###.#.#.##..##.####.#...##.##
#.####.#...#######.####...#.##.###########.##.####.##.###..###....##.#.##........#..#.#####.#....#.##...####..#...#######.#......####.##..###.#.#..##.#.######.##...####..##.#.....#.......#.#.#.##...#...#.#.##....#.##.#.##....##.......#.#..#...#.#.#.########.##..##...#.#...##.#.######.#####.#.##.#.........###.##....#####..#.#.##.######.##.##..#.#.#...#....###.###...##.....##...#....#...##........###...##.......#.#..####......##..#.....##....####..####....#.......##..#...##.#..##.#.#.#...###.#.#.#.#.##..##..#.#######.#..####.#.####.##.#####.##.##..#.##.##.#...#.####.####.#..##.##..##......#######.#.###.#.#..#.##.#.####......#####.###.##.#....#.##..###..#.#.########.#....####.###.##.##.#.#.....##.##..####.#.##...###.###....#.##...#.#.###.....#
#.#....#.####.......#.##.####...##.#.#.....#...##.......##...##.#..#......#.##.#...##.#.......##....###....##.##.##.#.##..#########.#.###.......#.##....#.#..#....#......##..#####.##.#.##...#.#..###.#########..#.#####.#.#..##.########...##.###.#.#.#.#.##........##..#...###..#.....##.....#.#############.##..##..####.#.##..##.#.#..#.##.########.#.....##########.#.###....##.###.######.#.########.##..#..###..##.##.#...##..######..##.#####..####..##..##.#..##.#######..##.###....#.##......###.#...#.#...#.###..#######.####.#.###.#.#.#.#..#...##.#..#####.#.#########.#..##..####.#.##..#..###.##.#####.##....########.#.##......#.#.##.#.##...##.##.####.#.######..##.#.###......#.##..##....#.##..#########.##.##.###.....####..#..##..####..#.###.#.#####.###
######.####...##.##......##...#.##.#.#####.#.#....##.##....#....##...#.#########################.##.#.#.#####....##.#....##...##.#....#.#######.#.#..####.##...##.#####.#############.######.....##...#......########....#.#####..#.##.##.###..##..#.#.#.#.#########.#######.####.#####..#####....#.##.#.##.###############......#####.##......##.##......##.###.#.......#..###.######.####..##.#....##.######.##.#.########.#.###..##.#.#..##....###.##..#.###.###.#####.........##...#####....###.##.....###...#.###.#...##.##.........#..#..#.#...##.#.####.##..##.....#.##.##.....##..##..#....##.#.##.###...##....####.#.##.##....####.########.....##.##..#..#..#.....##.##.##.#.#.######.#####.##.####..##..#.#.#....##..#...#####....##...##..##..#.##..##...#.##....#
#......##.########..##.#.##.#.#.#..........#####.##...##.####.#.###.####.#.#.###..##.#.#.........#......#.#.####..#...#.##..#.#....##.#.##.##.....##..#.#.#..#.##.#.....#...##...#....#...#####.############.#..#.#.########...##...#.......##.###.....#....####...###............#.#.##....#####...........#.##########....#######..#######.#..#.#..##.#.##.#...#######...##....#..##.##.#.##..##.###....##....#...#.#..##......##.##.#.##..##.#.#...###.#.#.#.##..####..##.#.##..#.###.##..#####..######.#.###....##.#.####.##########.##...##.###.......##.....####.##.#.#..####.#..#.####.###.###.#.##..#..####.#.##.#.....#..####...#.....##.####.###...##.##.##...######.#...#.#.#.#.#.#..##.##.##......###.##.#.####.#..##.###.##..####..###..####...#..#####....#.####
#########.#..##.#..#####.##.#.#.##.#.##.##.###....##.##..#....#..#####.........##..#.#.###.#.#.#.##.###........##...###.#####...#.###......######..##.#.#.##.#..###.######.#####.######.#........##.##.#.#...#.##...##.....###.#..#...###.#..#.#.#####.####.#..##.#######.#.#.###...#..####.#.#######.###.#....##..##....##.#.......###......##.....#####..#####.###.#####.#####...##...#...##.##..#.####.#####...###...####.###.##..#.#.#..#####.#.#..#..#.#.#..##....###########.#...#.###..##.####..........####..#.#.##....##.##.#.#....####..###.#.##..##.##..##..####.##....####...#.##.##..##.....##...###.###..#.###.###.##..##.##.######..##...##.####.##.##.#..#.##..###.....#.#.#.##.##.##....######....#.#.###..#.##..##...#.###.##..##.###...###.####.###.##.####
#.....#.#.##.#....##.....##.#.####.#.#######...#.##...#.##########.#.######.#####.##.......#.#.######.#######.#######...#.##..#####...#.##..#.#...##..#.#..######...#.......##.#.###..#####.#.##..#.#....###.#.####.#####.##.....###########...#.###.#.##...#.##..#.....###########...###.....#.##.#...#######..##.##.#.######.####.##..##.#..##.##..#.#..##..#..............#.#.######...#..#..##....###.#.#...#...##.####...######.#.#.##..#.#..####.##.#.#.##..##.###.##.#.#.##.#.###...#.##..###########.#.##.#.##.#.###.###.......####.##.##.#.#####..######.####.#.#..####.##..###....#.###..#.##.#####......###....##..##.###.#...#.#..#.#.#####..#..##..#...#.#.##..##...##.##.#.....##.##.##.##.##...###.##.#.....##..##..###.......##.##..#.###..#...##...##.......#
#####......#.#.##..##.##..###.##...#.#.......#.#.###.####...............#....###...###.##########.........###.#.#.###.#.#.######....#######...###....##...###.#.##########.##..#.#...##..#..#####...###.##.#.#......#.###.####.####..........#.#.#.#.#..###....##...#########.....###...#####.#.#....###.......##.....#..##....#.....##..#########..##.######.#####.##.#####...#.#.##.#.####.#.#####.##.#.#.#######..#.#.#..#.#.#.#......##.##...##.....#.#...##.##..##..##.#..........###...##.##..#.....####.#.....#...#.#...#######.##.#..#..#.#.##.#..##..#...#.#..#.#.##..#..##..####.##...##.#..#.##.##.######.###.##..###..##.###...#.##.#.###.#.##.####.#.#####....##..###..#....##.##......#.####..###.#....#####.#..####..####.#####...##.......##.######.##.#######
#.....##.#.....###.##.###..#####.###.##.#.#.####.#.###....##.#####.####.###.##.##.#######...##..#.####.##.#.#.....#.#####.#.##...#.###.##.##.##...##.###.##.#.#.#..##.#.....##...###..##...########..#..##...##.#.#...#.#.#.####....########.#...#...##.#.####..###..##...#.####.##...#.####..#.####.#########.###########..##.#.##.####.#.....####.##.#.##.#.#.########.#.##.##....#.####...#..##...##.#.#..#.#.###.....#.##.#.#.######.##..###..#####...#.###..###..##.##.#.#.##.#####.###..#.###.#####..##..#####.##.##...###..#.......##.#.##.#....##.###.###.....##....##.##..##.#.##..##.##....####...#.##.##..###....##...##....###.#.##.#..#....##..##..#.#.##..#.##..#########.########.##.#.#.#..##.#.#.####..#....##..#.##.##.##.##.#....#######..#.##...##.......#
#.##.#######.#.#...#..#...##...####..######.#.......##########.#.####...........#..#.##.#.#..##.#####..#....###.#....#.#.......#####.........####.#...##.#........##..#.###..###.####..###.#..##.###.##.####.#..#####.......#.###.#.#....#.#####.###......#.###.#...#####....#....#####.#..##.....####.####.#..#.###.#.#.##.#######...#######.##.####....##...#.#.##..#.......####.##.##...#.#.##..#.##...##.#....####.#.#.#..#....##.#...#.##.#.##...###.#...##.#...###.##.######.##.##..###.#.#....##.##..##.#.##......#.#.#.##.####.##.......#.####.#..#.#...#####.##.#####.##.##..#.#..##..###.###.####....#.#..##.####.###.##..######.#..#.##.###.##..####...#.##.##....##....#.......#..#####.#.#.#.###.#....#.##...##..##...##..#..#.#####.#####...##....###.##.#######
#.#..##......#.#.#.#####.#####.##.####.#.####.###.#.#...#..###...##.##.##.#.#.#...##.#..####..#.###...#####.....####.#.###.##.###.##########...#####.###.#####.####..######.##........##.###.##....#.#...#.#.#####.###.#.##....#########....#........##.#...#.#.###.##..####.####..#.#..##.######..##.......##.#.#.....#..###.###.#.###.##.......#.#####.####.#....##.#######..#.#.#..###.##.#.#####.####.##.####.#....######.#.####..###.#..#.#..###.##..#.###....####..##...##...##..##.#.#...#.##..#.###......######.####.#..#.##...#..#####.#.##.#.#.##.###..#.##.....##.#....###...#.##..##.#.##..#..####.#.#.##........##.##.####..#.#.##..#..#..##.#######.#.....###.######.###.#.###.##.#..........#....#.##.####.###.####..##...##..##.#.#...##.###.####....#.#.##.##
#.#.##..#.##.#.#####.....##........##......############.##.#...#.......##.#.#####.##.#.###.##.#.#.#.####....######...#.#....###........#.#.##.##.##......###....#.##.#.#.....########.##..#...##.#...###.....#.#....##########..##.##..####.###.##.########.#...##..##.##.#...#...##...###.....###..#######....#.#####.##..#...#....##...####.##...#.#....#...###.##.......#..##.#.#.##.###.....###..#..#....#.##.####..#.#......####.#.#.##.#...##.#..##.#.######..##..##..###..#....##..#.###.#####.#.#.##.#.#..##.##.#.#..##.#.#########.##..#.#......##...##......######.####.#.###.#....###...#..##.##....#.#.#########.##.#..##.##.#....##.##.##..#...##.#....#########.##.#.#...#.#.#.##.##.#.###.###.######..#.#..#.###....##..#####.##.#...###..##...#.####...#..#..#
###..##.#.#..#.##.#####.####.#####.#..#.##...##.##.#....##.#.###.#.###..#.#.#.....##...#.#......#.####.######....###.#.###############.........#.#..######.####.#.##.....###.#..#.....###.###..#####...#####...##.###.#.##.####.....##.####.##..##.#...#....###....##..##.###.###..##.##.#####.#.##.#.#.#.##.#..........##.###.####.####.##.######.#...##.###.##..####.###.##.##...#.#..######.##.##.##.####.#.##..##..##.######.#.##...#.##.###.##.##....#.#.#....##..####.#.##.##.#..##....#...##...#....######...........##..#...#.#.##...##.#.#####.###.#..######.#.##....##..........#.##.#.#.#.##...####.#.#..#.##.###..#...###..#.#.#####.##.###.#.###..##.#...##...##.#..#.#####.#.#..#.########..#.....####...##....####.####..##...##.#.###.#.####.##..#.##.##.##.##
##..##..#########.......#.######.#.##.#####.##..#....##..#...#...######.###.#####..###.#.######.#..##...###...##........#.##..#..#.#...#.##.##.....###.##..###....##.#####.#.##.#####..##.####.##....#....###.##..##..#......######.........##########.####.######....##..........##...#..##.................####.##.##.##.#...##....###.##......#.######.##...##....####......###.#.#.##....#.##..#.##.##.#.#..##.#..###..###......###...#...#...#..####.#.#.####..##.#.#..#.########..####...######.####.##...##.########.###.###...#..###.##.#.##....#.#.####.#.##.#.####.##..#.##.#####.##.#.###..###........##.#.#....##.#.###.##.#....##...##.#...#.#.##.#..######.#.#..##....##...#...##.#.#.#..#.##.###.#..###.###.#..##...#.#.#####.##....##...#.##..##.#.#...#.....#
#..######..#......#######..##....#.##.###....##...#.####...####.##........###.####.#.#.#.##.##....#####...#######.#.###.#..##.##...########.##.###.#.#..##.#.####..###.##.......#.#...##....##..####.##.#......#.####.####.#.#.#.####.#####..####.#....##........##.#######.#.###.####...######.####.##########.#######.#..#.#....##.#.#..######.#...###..####.####.##....####.#.#.#.#..####.#..##.#.#..#..#.##.##.##.#.##.#.####.#######.###.###.#.##......#.#.#..##..#.##.....##.#.#.##..###.#.##....#...##.#######.###...#.#...###.##..#...#.#.#####......##.........#.#...####..######...#...##..##.####.#.#....#.##.####.#.###.#..#.#######....###...#.##.##.###..#.####.#####.####.#.###....#.##......#.####..#......#.###.###.#........###.##..###.#..###.....###.#####
##...#####.#########......##..##...####...##....###...####.##...###.#.######...........#..#....##..#.####.##.#.#######....##...##.##.##.#...######.#.##.##.#.##...##...########.#.###.#####.#..##..#########.###.##...#..###......#.#####.#.##....####.#####.###.##..##.....#.#.....####..##.#####.####..##.##..##..#.....##########.#.#.##.#.##.##.##.##..#.#.#.#...#######.....#...##..##....##..#.##.##.#.##.##.##.#.##.#.......##..##.#....##.#..######.#.#...##..##.#####.##..#...###.#......####.#.#.##..##.#...#...#.....###.#.###...#.#.#.#..#####.############.#.##.##.#####....##.##.###..##.....#####.##...#...##......#.##.....##..##.#.##..#.#....##...##.#..##..#..##..##..#..###.###..#####.##..#.##.##.########..##....########...#..##...##.#.###.#.##......#
#..###..#...#.#..#.######..#######......#.###.#..######.....#.#.#...#.#......#########.##.##.####.##.#.....#.....#.#.###.#####.#...#.#....#.#........#..##.#..###..###.#.#.#......##...#.#..##..##.##.##.##....#.####.##..#####.#...........#####.##....######...#..#####.#.#######.#.#..##....#.#.##.##.#...#.####.##.##...##.##....#....#.......#.##..##.#.....###.#.##....###.###.###.#####....##..#....#..#.#..#.......#.####.####.#..####.##.##...###..#.###..#.##..#.##..###.#.#..#..#####.##.##.###..##.##.###.#.#.#.###.......#...#.#...#...##.#.....#.##....##.#..#....#.#.###.##..##...##..##.#####.#######...#.##.##.###..##.#####.#####..##.######.##.#.##.##..##.##.##.####.#.##.#.#.#.##.#....#.##.#...#.#...##.#.#####.##..##.##.#.#.###.####.#.#.#.####.######
##...##...#...##.#.#######.#.##.###.###.###...##...###..#.#.#######.###.######.............####....#.##.##.#####...#.##...#.##.##.##.###.###########.#.##..#.##...##.#.#.#.#####.##..#.#.#.##..##..##.#...####.....#...##.......#.#.#######.#.#.#..###.##....###.##.#.#.#######.......##..####........##.###.#.##...#####.###..#####.####.#.#.#.#....##.#....#.#..#....###.#.##...##.#.#.#.###.##.###.####.##.#.##...#####.####...#.#..##....#.##.##.###.##....#..##.#..##..##..##.####.#.##..#..#..##..###..#.#......###############.#########.###.#..###.###..####.##...##.####...##..###.##.####.##...##.#..##.#####.#..####...##..#...##...#.##.##...##.#...#.####.###.##.#...#..##....##.#.#.#....####....#.##.##...####...#.#....##.##.##.###.#.#..##......#..#.#......#
##.####.###.#........................########.######.##.#.#.##......###.##########.#######.##.####.#.#####.#.#####...####.#.#.....#...##..###.#.##......##...####.##...#.#.##.#.....##.#....##..##..#.###......#.#...#####.########.#...#...#.#.##......#.#.##........#..##.....#.###....##.###.#.#.#....#.#.#.####.#.#.#...##..#.#...##..########.#....#########...#.##.###..###..#.#.#.#...###....#.#.......#..###.....####...#...#.######.#.#..##.##..#####.##.##...####..##.#...##.....##.##...##..##.##.#.######..#.#.##.........#####...........###....##.###...##.##..#....#####.....##..##...###..#.##..#.#.#...##.#....#..##.#.###..###.##..#.###..###.#..##..#.#....###.#.#####.##..#...##.#.#.##.##.#.##....####.###.#.#.#.##..##.....##.#.#.########...##.#.######
#..##.####..##.#.###.#.#.#.##.#.#.#.##.#.......##.......#.######.#.##.###........####.........##......##.....#.#####...#..#.#####...#######........#.#.##..###.#..####.#.#.#....#.####...##.###.###.#.....#.##.#####..##.#######.######...#......#####.####.#..###.##.#.#####.#.#.#...##..#.#.##########.#.#......#.#.....#####.#.##.##..###.#.#.######.#.........###.....##.##.##...#.#.###..#..####.#######.##...###.###....####.##.##..##.#.##.##.###..#.....#..#.###..##.##.##.####.##.#...###.###.#..##.#.##.....##....####.#.#.##...######.####.#.####.##.#.###.##.###.#.####.....##.##..###.#..##.##..##.#.#.###..######.####......##..##.###.#..##.##...#.####.....#.###..#.##.....##.#.######.#.#...#.#.##.#####....##...###..##.###.#.###.....#.###..###..#.#.##.#.#
#.###.##.##.#..###...#####..#####.###....###.#..##.#.######....######.##########..#...###.#.#....#.##..#####.......###.##.#.#...##.##.###.############..#.##.#...##.#........######..###.#...##..##.##.##.#######.##.##..###......######.#######.##....#.#..#####..#....#...#############.....##.#.##........#.##.....#.#..#.##.#.##..##..#..#.#.###......#######.######.#####...###.#.#.#.##.##.#.##..##.#.#.###.##.#...##.#.#.....#.#..##....##.##.#.##.#.###.##...#.##.##.##.#...#.####.###.#.#..##.##.##...####.#..###.##.######..###.#.#.#####.#.............#.#.#...#..#.#.#########..##.#.####.#...##.##......###..##.#...#.####.#.#..##....#.#.###..###.#..#.#.#######.##....####.##.......##....#.#####.#......###.##..####..##...####.#.#.#####.#.##.#.##........#.#
###......#########.###.....##.......##.#.#...#.##..#####.###.#######.....########.######..#.##.######.##.....##.##..#...#.#.#.###...#..#..#.#.##.######.#.#..###.##...###.#.###..###...#####.#..##...######..###.....##.##.#####.##.#....#.......#####.#.##...#...####.##.####...##.##.#####.##..#..##############.#######.#.#.....##..##.##.#.#...####.#.##.#.####.......#.#..#.#...#...#..#.##....#.##....#.#.#.##...########.#.#.....######.....#.#.##.###.#..##.##.##.##.##.##.##.##....#....#.##...#.#..#..#.####.##..#...##....##.........#.#.##.###.#.#.####...###.#.##....#.####.##.##.#.###..#.###...#.####...#.##..###.#.##.#.####..####.#.#.#.#.###....##.......##...##.###.#...###.#########.#..#.#....######.#..##.##.##..###.#.#....#....##.#.......#.##.#.###.#
########.#.#.###.#########..###.#.################.#.......#.#.#.#...###.................####..#.......############.###...#.#.#.###.##.##..........#......#.####.##.#..##.###.##.#.###.###.....##..#.###.###.#.#####.##.#........##.##########.#..#.##.#.####.#####..#..#.##.###.#............##.##..##.#...#.#.##.####....#.###.#..#.##.......#.###.####.#....#.########.#.##.#####.###.##.#..####....####.#...#....###.###..######.##..##..#.###.#.#.#...#..##.##.##.##.##.....#.....##.#.####....###.#.##.##...##...###.#.#######.######.#.#......###.#####..#.###.#.#.#....####.#............#.##....#..##########.#.##.###.....#....#.#.##.#......#.#.#.#.#######.###..###.#...##...#.....#..#.##.#.#.##.####..#.##....###..#.##.##.#...####...####..##.#.#.##.######...#
#.##.#.........#.###..##...##...###.#.#.#.#.##..#..##.##.#...#.#.########.################.###.#######.##.....##.....####.....#.........#######.##.###.##...##...####.######.............#####.#..####.#..##............#####.##....#####.#######.#.#.....#.#..#.###...##.#..##....##.######.##...##.#..###.#.#..###..####.#.#.####.#.#######.##.#.....#######.#.#.#....#....#..##...##..#..#.##..####.#.#..###.###.##.#..#..###.######.####.####..#.#.###.##.##.##....##.######.##.#######..#####.##.#....#.###.#####.#.#.#.##.##.....###..#.##.###.##...#.##.##.##..#.#...####.#..##.###.#.###....####.#.####....#........##..#.#...####.#.##.##.##.##.....#.####..#.#.#####....#..########.##.##.#....#..#.##.#.##..##.####..##..#..#.###..##..###....#######.#....#..##.##
#......#.##.##.....##....#..#####............##.############..............######............####...###..#####..#####......#.#...##.#.##.###.#...#...##.#..#..###..######.#.##.#.##.#.#.#..#.##.##..##....##############.#.##...##.#.......#...#.#.#.#####.#.##.#.....#..#.##..###########.#...###.##.#.##.#.#...#####...........##..#.#.#.###.##.#####.#.##......#.####...##...#####.###.##...###.#.##.#.##.#.#..##.##.#.##.##.#..#.##...#.#.##.##.#.#.##..#..#..##.####...###......###..#..##.....##...####.#...##.#..#...#.##.######...#########.#.####.........###.....###......############..#######......####...###.############...##...##.####..####.###....##.#.#..##.####.####.##.#.......#.####.##...##....#.##...#.#.####.##....###.#..###..#####......#.####.##...#
##.#######...#####....##.#.############.#.##.##.#.##.##.#....#.######.#####......###.######.#.####...#.##..#..##.#.#####.######.##.#.##.#.#.#######.#####.##.....##.##...#..######.###.##......##.######..##.#..###.......##.######.#####.###.#................#####.##......##.##...#......#...#.............#..#..##.#.#.###.####...........##.#.##.....######.#.#..##.#####..#.#......####.#........#.##.#.#.###....#..#.#..##.#..###.#.#.##.#..#....##.##.##.....####.##.#####.##.##.##..#####..##.##.######.##.##.###....#..#..#..#..###...#.........#######.#.###.######.##.######.###..##...##....######.#..#####.....##..#.###.###.###....###.#.##...#.####..#.#.##..#.#...##..##.#####.###.##.#....#######...##.###.#...##.#..####.....##.#.##...######.#.#.##.###.##
#..#.......####....##.##.###....#....######...........#.####.####.##..#.....###############.#.#.####...###...##..#.####..#...####..####......#.......########.##..#.####.##..#.#.##########.##..#.#.##.#.##..##.#.#####.######.#.#..#...#.#.....#.#.##.##.####...#######.#.#.##..###.##########.####.###.#.##.####.##########....###.#.######.##.#.#..###.#......#.##.##..#.###.#.######..###.########...##.......####.#.##...##..##.....#.#.##.##.##.####.#...##.####.#..##....##.##.......##.#...##..#...##...........#####.##.##.##.####.###.#######.#.#...#......##.##..#...######.#.#.##....#######....###.#.###....#######.#.......#...###.##.#....#.###....##.#.#..##.#.##.##..##...##.#.##..##.##.####...##.###...#....#.#..##.##.####.##..#..##.##..##.........#.#..#
##.######.####..#.###..########.####.#.#....###.#.#.#....##..###...######.#####....................###.#.###..##......######......##....####.#######.#.#.##...###.#..##...##.....##..###..#####...#..#.#.###.##.#.#.###.##..#....######.....#################..#.#.###...#.#..##......#....#......####.#####...#.#..#.#.#.#...##..######.##...##.#.####...######.#.....##.#...#.#.#.##.#.##....####..###..#.#####.#.#..#..###.###..#####.#....#.#......##..###.##.###..##.#####..#.######.#....###..##.#.#############.##.##............#.#.##..........#####.#####.##...##.###..#.##..#.#.#####..#.#.#..#.##.#.###.####.....##..####.##...###...##.####.#...#.#.###...##..#.#....###..###.#..#....##..##.#..#.###..##..#...#.#####.##..#.#.....##.#.###..##.#..##.#.#.##.##.#
######..####.#.####.#####....#.........###############.#....##...#..###...##..###.#.#.#.#.########........###....#.##.#.##.##.#.#.##.##.##.....#.#...#......#.#.#.#.#####.######.##.##.##.##.####.##......#..##.....#.#..##.####.#.#.#########.#...#.###......##.#.#.########..######.#.##.#####.##.#..##..###.#.#.##.......#.###.#.#.#...###.#..#.#.####.#.#....####.#######.....#.#....#####.#..##.####.####.##.#.##.#.##...#.#.##.......##...######.###.##...#.#.##.#..#.#.##.#...##.######.#.##.##....#.##.......#.......##.#######.#.#..###.#.#.#.##........##.##.####...##....##......#.#..##.#.#.#####.#.##..#.#..#######..#######.##.##.###.##...#.###.####..#####.#.##.###.##..##.##.#.######..#...##.#.##....########.##...##.#.####.##........###.##..#.#.####.#..#
#.##.#.###.#.###.##.###.####.####.##.#..##.#..##########.#.########.#.#######...#.#.#####.#......##.##.##.....#.####....#.....###.##.#...#####.....#...##.#.#.#..................##.#.....##..###..###.##.#.####.##.#...##..##.....#.#...###.....#...#...##.#.#....#...##.#.#.##.##.....#........##.##....##.#.....##.##.#.####.#.#.#.##.##...##......##..#.####.#.#...#.##...#.#...###.##..##.##.#........#.#.#.....#.#.####.#.#..#####.######.#......#.#..###.#.#.#..#.##.#..#.###....##........#.##.####..##.####.####.#.######...#....##.###################.#..##.##.###..#.####..####...##.##.#.#.#.#.#.#..##.#.##...###.#.##........#.##.#.#.####.....#..##..##.##..#.#..#.#.#..##.......#...###...###..#.#..##...##..##.###.##.....##...##.########.....#######.#...##
#.#........#.##.....#.#.#.........##.##....#.##.#.#.#.######..#.....#.##.##...#...#.#.....##.#.#.....#####.##.###....##.###.#.##...###.#####...#.####.#######.#.#.#.###.########......#.#..#.##.##.######.#.######..###..##.######.#.###.#.####.##.#...#.##.#.####...#........##.#####.###.#.###.#.....####..##.#############.....#.#....####.#####.#####.#......#.#.###.#..#######.##..#..##.....##.#.##.##.#.###.#......##..#.#.##.....#........####.#.#.##.#.#...##.#..#.##.#.#...############.#.##.##.#.######.....##.#..#.#.###.##.###..#..#.#.##...#.......##.##....#.##......####.####.....#.......#.#.##.##...##.###.#....#.##.###......#.#.#.###.####.####.##.###...#.##.#...########.##.#.#...###.##.....#########.##..##.###.######.###....#.#.#####...#.#.....####
#.##.###.#......#.#.....###.#.#####...####.#.##...#.....#.###.#####...##.#..#.##.##.#.##.#######.#.#####.###..########......#.##.###...###...#######....##....#####.#...####.....#########...........##.#....##.#..#####.#...#.#.................####.##..#####....###.#.####....#.##....#####.....###...###.#...#..##.####.#####.#.####.#.##.#......##.#.######.....###.#.###.......##.#.##..#.#.#######.##.#.##..#.##.#..##.#.#..##.##.#.#.##.####.#...#.##...#.####...##......###..#..##.#.#.....##..#.#..#.#.#####..#.#.##....#.......##.##...#..###.#####.#.......##.#..##.#####.##.#.#..#.#.#.#######...##.#..###..#.#.###.#####.#...####........##.#.#..#.#..##..####.#..#.###.#.##......#.#####.##..##.#.#..#.#..#.#..#.###.#.#..##.##.#.#.####.#.#.##..#...#####....#
#.####...#####.##.##.##...######....#.#.......###.###.#..........####......##.#..#..###..#.......###.#.......##...#....#.#.##.##.#...#.#...####.##...#.######.#..#####.##..#.#.#######.#.###.##.###.###.##.#..#.##.##....###.....###.######.##.###....#..##..#####.##..#.#....##....#######.######.###.#...#.##.##.###.#.#...#......#....#.#..#####.###....##.######.#.#.###.#######.......######.#.#.##..##....##########.##.#...###.#..#########.....#....###...#..###..#.#.##.##..##.##......###.###.....##.......#.##########.#####.###..####.##.#.#.......#.#.#.#..####.##..#.##.#....##.###.#....#..###.##.##..###.....##...##.#####.#######.#####......##.##.##.##.#....##.##..#.####.##.#..##....##.#..###.##...##...##.#.#.#.##.##..#.#.#.##.#.#.#.#..##.###..##.####
#..#####.##.##########..####.#...##.#.##.#.##.........##.#.###.#...#####.#..#########...##.#.###.#.....##.####..#...##.#.#.#...#####.####.##.......#.#.#....####.#.#.#####.#######.....#.#####..#....#..##.##....#.#####...########..#......#....#######..##........##.######.#####..###.#.........#.#####.#.#..##...#.#.###.######.####.#.##.#.##...#..##..#.#.###..#.#.##..#.#.....#.##.####.#.......##.####.##.#.#..#.#.##.##.##.#######.#.##.#.#.#.##.#.#.###.#.##...######.....##...####.#####.#.###.##########...#.#..##.#....#...#.##.#.#..#..#.###.#.#######.##..##..#..##..#.####..#####...#.##.####..#.##.##.#.#######.##...#..#.#........##.####.###..##.##..#.#.#####....##.#.####....######.#....#########..##.###.......##..##.#.#.#..#.#.#.#...#####.##.....#.#
##.#.#.###..#...###.###.#.#..###.#..####.#####.#.#.#.#############.#.....#.##...##.####..############.##..#########.##.#.#.##.##...#....###..#####.#.#.##.####.#.#....#.....#....#####.#.#.#########.#.#########....#.##.###......#####.###.###.###......##..#.##.#.##.#.......##.#.##.#.########.##..#.#....##.##.###...#.#.##.#.#.#....#......####.##.###...#.#.##.#.#.###.#.###.#.#.##.##.....#####.....#.#..#.#.##.....##.##.....#.##..........#.#..###....##.#..###.#.#..##.##..##.##..#####.....##..#.#.##.....#.#...##..####.###.#.##.#.##.##.#.#######..######..####.##.###...##.#.####...#.####..#.##.#..........#.##....###.##.#########.##..###...##.##...##.#.#.#.#.####....#..######....##....##.#..###.###......######.####.##.......##.#.#.#.#..####..####.##.#
##.#.#..###...###.......#.##.#.########..###.#######..#.#.#...#......#.#.#.####.....#...###.#.....#....####.........##.###.#######...#######.#.....#.###...##....####.#####.####.#..##.#.#.#.#.##.##.#...###.#.##.#...##.##..####.#.#.###...#...#...#.##..####################.#.........##.##.######...####.....#.#.###......#.......##...#.##.......###.###.#.#........#.#.#.##..#####..##.##.##.#####.#...#.##...#####.###..##.####.######.#.##.###########.#..#.##.#.#.#.#######.##....####.###.#####.#....#######.#.#####.#..#.......##...##.##...#.##..##..#.##..##.##.#...##.####......#####..##..##.##.#####.###.##..####..##.##...###.#.#.###.#.#.####..###.##.#.#.#.#.##...####.##.##.##.#####.#..###.##.#..#####.####.##....##..###.#.#..#.#.#.####..#.#.##.#..##.#
#..#.##.#...#..######.#.........##.##.####......#.#####.#.###.###.##########....###...#.##....#.#...#.####..#.#####.#####....##....#.#.##.#..###.###.#...#....##......#.#.#......##.#..........#.....##.##.#....#####.#...##.###........#.#.#.#.###.#.#######.#.##.#.##...##############.#..#...##....#......###.#.#.#...####.##########.#.###..#.###.##......#.##.#####........##.######..#.#..#..#.....#.#....###.#.#.#.#.##..#..#.#.#.#....#.#####.##...#...##.#.#..#.#.#..#.#.#...####.##....##.###...#.#####.#.##.#..#.#..##.#.#.#.#.####.##..###...##.####.#..##.##....#.#.#.....###.####...##.##.###.#....#####...##.##.##.###..##.##...#....##.....##.#.##.#..#.#.#...#..###...##..#.#...#...##..######..#.#.##.##....#..#####..##.##..#.####......##..##.#..#.##.#..#
#.##.#..######..##.#####.#.##.#........##..####.................#####.#.#.##########.####..#.####.#.####.##.#.##....#.....####..#.####.#....##....##.##.####.##..##.#.......##.#......##.#.#.#...###.##.##.###.##.......#.####.#######.########.#######.#...............#........#.......##.#.##########.###.##....#.###.###.......###.#.##########....######...#..###...######.####.#.##.########.###.#.#.###.##.#.....#.#.##.##.##.#.#.########.#......#...#......#.##.#.#.##.#.###..##..#####......###.#.#.##....#..#.##.##....#######.#.#...#.##.#.###...##..##.##..###.####...#####...#..##.##..#..#.#...####.##..###..##.##.#.##.##..###.###.#######.##...##.##.....#.###.##...#####...###.#.#####..#...#.##.#.#...##.###.##.##..##...#.#####.##.#####..##....##.##.#.##
#.##...##..#.##.#.....#######.##.#.#.#..####....##.######.#####.###.....#.#.#####.....#########...###.......#.##.##.##.#.##..#######...##########..#.#######.#########.##.#.#..#.#.#####.#.#.###.#...##.#..##...###.###.###.#..#.#.#....##.##...#...##..######.####.#.#.#.####.#...#####........#.####.###########.#.#####.#######.#...#####.#.#.#####.##...###.####.#####.###....##.#.#..#.#.##.#...###.###......#####.#.#....#.....#.#.##.##.##.##.#.####.#####.#........#..#.#..###..##..##.#####.###....#.#####.##......#####.##.#.##.....###..#.#.#.##.####.#...#.##.#..##..###.#.###...##.....##.##.###...##..##.####.##.##.#.##..##.........#.##.....#.#.#.....#.###.##...#.#...#.###.##.....#.##.##.###.##...##.###..#...#.###..###.#.#.##..##..#.##.##..#####.##....#
#..##.####...##.#.#####...#.###########..#####.##..#......##........#.#...........#.###...#.#.#.#.#...###.###.##.####..####.####.#...#............####...#.###.........#..########.#.....#.#########.#....#####..#####...##.##.#...####..#..#.####.####........#....#.#.#.#....##.##########.##......#.###.##.#......#.##..###.....#.#..##.#.#....##.#.####......##..####......##..#...##.#.#.##.###.############.#.......####...#.#.#....#.#...#.#######.#.#.....########...##.##.#.#.##..##..#.#.#.#.####.#..##....####.###...........#####...##.......##.#.#..###.#.##...####.##.....####..#####..#.##..#..###..##....#..##.##.#....######.####.#.######.#.####.######...###.####.###.###..###.#.#.#......#.....####.#.##...###.#.##..##.#....##....##.##..##.#.##..#####.#
##.##..#.###.##...##..#.#....##..##.#.##.....####.#########..##.#.#.#.##.##.#.##.########...#.#######.#...########.##.##...........####.##.####.#..#####...#################.##.#..##.##.#####.##.##.####.##.###..##.###.....#.###.#.#..##.#####....##..#########.#####.#.#.#.#####..........#######...#...#....####.#..##...#####.####....#.####.#.........##.#####......#.#.####...#....#.#.#...##...###....##..#######..####.#######.###.###.#.#.##....####.##.##...#.##.##..#..#.#.###.###...#...#.##...#.######.##.#.#.#########.#...##..#....##.##..#.#.##..........###.#...##.####.###.#.#.##....##...##.##..###.##.##..##...#########.#.......###.#.#..###....#####..##...#...##.#.##.##..###.##.###.#.#####....#..###..##.#.#..##..#.########..#..##..#...#..##.#.#.#
#.....##.#....#.###..#######.##.##..#..##.#####.###......######.#######..##.###..#........#....#.#.######.#..#.##..#########.#####.##.###..##...####.#.###....#.##.####.#.......####..######....#................##..#####.#...#.#.#.##.##..##.####.##.##.....#.####.########.#.....##.#####.#.......#...#...##.#....#.#####........#.####...####.###########...##.##.###.######.#.######.#.#.###.##.#.#...##....##.##.##.##.##.#.####......#.#.....##.##.#########..#......###.##.#....##.#.###.###.#..###.#.#.##...##.#.#.#.##...####.#..####.##..#####.#.#.###.####.##..##.###.##..#.#..#..#.#.###.######..#.#..##...##..##....#.....##..####.##.#...#...##..#..####.##..#####.###..#.#..#..##..##....#####.....####...##...##....##.##.##....##.##.##.####.#.###.###.#.#.#
#####.##.###.##.#.##.#.##....##..##.##..#.##.#....####.#..###...##.#.########...###.##.#.#####.#.....#.#####...###.#.#.#.########..#......####.##..........##...#..#......#####..######......##.####.#.#.##.#.##..##....######...........#.##..##....#..#####...##.#..##.###############.....###.#######.###########....#.####.####...####.#....#...........###.##.####...##.#...#######......#...##.####.######.##.##.#..##.##....#.##.#####.#####.#####.#.#.#..#..###.#.#..##.##.####.##.#..##.#.....##.#.....##.#..#.#.#....###.#.#####......##.###.........####....#..###..##.###...##.#.##.#.#....##..#.##.##.####.###....####.##.####.##.######.#.#.#....##.##.#..###..##....##.##.##.#.##..####.###..#..#.#.#.###.##..#######.#..#...#.####..#..#..##......##.#.#.#...#
#.....#.......#.#.#....#####.##.##...##....#.###.##.#####...#####....#.########.#...#..#.#.......#.#....##.###....................##########.#######.#.###.####.##.####.#.##....##......##.#.#.....#.###..###..##..###.##.##.#.#.#.#####.#..##..##.######.#.###......##...#.##.####......#.########.#.########.#.....##........#....#....######.##########.##....#.#.####.#..###..#..#.####.#.###.##..#.###.#..........##....##.####.#..#.##...###..#.#...#.#.##.###########.##.##...........##..##.####....###..####.......#####..#.......##.#..###.########.##.########.#.#.##....##.###.#.##.#.####..##......##..#.#.....#.##.#######.#...#....#####.#####.##.......##...#####.##..##.......##..##....##...##.###.#.#..##..##.##....##.#....##..##.##.##..###.###.#.#.#.###
#####.###.###.#.#.##.###.##......###..####.#.#.#.....##...###..#####.#.#.##..####.####.#.###.##.##.####.#......#.#.#.###.#.#.#.#####.#.###....###..#########........##..###..##.###.#.############....############...........#######.#.....####....##.##......#####.##..#...........#.#.######.###..#..##......###.#.###.#.#.#.#########.##.##......#.......##.#.#.#.#.#####.#.##.##.#..#####..##.###.#.##..####.#.###....##.##.#.#..#.##.##.###.##...###.....##.#..##........#.#####.#.###.##..##...######.#.#####.##.###.##.#.##.#######.##.#.##............##..##...........##.###..#.#...##.#.##...######.###..##.####.####...##.##....#.####.#.##..##.....#.###.#.####.##..#..##..#.####.##..##..#####.######...#...##..##..#####....##.####.##...#..##...####..#.#...###
#.#.#.#####.....#.##.##...######.####.#........#####..###.#.##.#.#.#.#...##.##.#####.#.#.#...#..#..#......#.##.#.#.#.#...#.#####.##..#.#.####..#..##..#...#####.#.#....#######...#######..#....##..#.##.###.#######.##.#####...####....#.#....####..#.####.##.......#############.#.#####......#.##.##....#.##.....#.#.#.#.#####.#.#.##......######.######.#####.#.#.#.#.##............##..###.#..#.#.#..##.#....#.####.#.#.........##.#...#.#.#..###..######.#..#.########.#....##.#####....##..##.##.#....#..##.#.####....#.#.....########..#######.#######..##..##.##.#.#.###....##...###..#.#..###...##....##.###.##.#...##.####.#######.##........#######...#######.##..##...##..####.....##.##.###..#...#.####.##.####..##..#.###.####.#..#..#.#...##..#.##.##.....###.#
#...#...#######.#.#.....#..###.#.#.#..######.###..#..##................#........##.....#.#.#.##.#.###.#.#.#.#..#.#.#####.#.#..#..###.....#.###.##.###.###.......###.##.#.......#.#..##.##.####....####.........##...######.##.##.#..##.#.###.##.###.#.#.###########...##......###.#.##########.#....##.#.#####.##.####.#.###............#.##..#.#.#.....#...#.#......#.#.#..##.#######..##.....##...#.##.##.##.#.###.#..#######.######.###...#.#.##...##.####.##....##.##.#.##.#.....######.####..#....####...##.....##..##...##.##.#....#...####.#.#####...#.##..##########.#.####.#..######...#.##...######.##..#.#..#.##.##..#.#...##..##.#########.#.......###..#.#...##..###....##.######.##..#...##...#....#.#.##.#.##.####.#...#....####.#.#####.##..#####..##.####.#.#
###.#.###.#.....#.##.##.##.......#.##...##.#.#.##.##..###.#.###.#.####.##.#.###.#####.#############...###.####.###...##..####.##.....###...........#..###.#####.###.#..#.###.###.#.##...#.#####.#..##..#######.###.##..........#...###.#####.#..#.....#.#.#.##.#.####..#####.##.#.#.#.#.######.#.##..#####.#.#.#..##.....####################.#.#.#####...#.....####.#.#...##..#.......#######.####.#.#..##....#.##..#####.#.##......#...###.#.#.####.#........###.##.....##########..#.#...#####...##.######..##.##########.###.##.####.##.##.......##.###.#..##.#.###.#.#.....##..#.##....###.#..###...#.##..##.#.##.#.##.##.##.#.#####.#...##.####..#######.##..##.##.##..#######.#..#.###...##...#....####.###...##.#.#...#.#.###...#.###.#.....##..##.##.#.#.##...###...#
#.....#.#.#.###.#..######..#.#.#....###.#..#.#..#..##.....############.######...#.#.###.#.#....#....#.#...##.....##.########.....#.#...##.###.#.##.##.#.###..####...##.#.#...#......###.#.......##..##.#....##.#.#####.#.#####...#.#...#.....##.#####.#.#.#.#.....###.##.#...##.###.#..........#####..#.##.....##..##.##.#...........##.............##..#.###.#.#....#.###.#########.#..#.#....#.#..#...########.###.####....##.######.#####......##..####.###.##..######.#####.#.#..##.###..##.#.#..###...#..##.......###.....#.#..#..#.##########.##..#.....##..#.#.#.#.##.######....#.####.#.#.##...###.#..###.#.#....##.#........##.#.###.#.......###...##....##..##.###.##.##.#.#.##...###.##.######...####.##.##..#...###.#..#..#####.#.##.#####.###.#....#.##.###.#.###
#####.#.#.#####.##....#############.#.#.##.#.##.#.#####.#####.###....#..##.####...#.###.#.#.##...##.#.###..####.######.###...###.#.##.######..###........###...#########.##.#######.###.#.##.##.##.#####.##......##.########.#.###.##.##.###..#.#.#.....#.#.####.##....#.##.###.########.#####..#.###.#.#..#.#..##.#...########.####.#########.###.########...######.#.##..#.##.#.#####.#.##.#.#.##.###.##.#..#..#......####....#.#.##.##..######..##..#.####...##..#.#.#.#.##..#...###.#.##....#.##..####.##.#..#######.###.######.##.#...#.#..##...##.#####.###.#.#.#.......#.##..#.##..##......####.....##.#.#...####.##...#########...###.###.#.#.#.##.##..######.##..##.##..#.#.#..##.###..##.##.#.#.#..##......##.#.####..##.#.##.##..#.##.##..#..#....#.##.##..##.#...#
##.#.......#.....#.####.#.#.#.#.#.#.#.#.##.#.##.#..##.###.....#.####.####...####.##.#.....#.####.##.######.#.####..#...#.###.#...#..####.#.#####..#.#.##.#.###.#.#.##..######.............#..#..#####....####.####...#####......##.#..##...##...#.#####.#.#..##...#.##......#.#...###.#####.###....##.#.##.######..######.#.....##....#####....#...##.######.###.#...#..####....#.#.#.....####......#.#..#.##.#.##.#.##......##...#.#...#.##......####...##.#.#..##..........##.###........###.######..#.#......##..##........#.#...#..#.###.##.#..#.#.........#....#.#.#.##.##..####..##..####.###.#..##.###.#.##.##....##.###.#.#.#.##.##....##.###.#.#...##...#.#...#.##...##.......##....##..#.##.#.############.#..#..#.#.##.......##.##.#...##.##.##.#####.....##....#.#
#....#.###.#####....##..#.............#..#.#.#..#.###...###.#...#.##.##.###.#....##...###.###..#.##.##...###.#..##.###.....####.#######..........##.####...#.#........###########.#.#.#.###.#####.#.####.#.#..##.###.#.#.###.#.##..#.##########....#.##.#...#####.#########.#.#.#.#...#.#.....###.##....#####.#...####....##########.##.....######....#.#..#.#.#...#...##.#####.....####.##.###.#.#.....##.##.#..######.#.#.##..###...#.#..######.##...###..####..########.#.....###.#.###.....#.##.##.#.####.###..##########.#.###.##.....#.#....##.#########.####.#.#####...#.##.##.####.#.##.#.#...######..#.##.#####.#...##.#.#.#.##..###.###.##......#.#..###.#.#.#..##.###.#.#.#..#.##..##.........#.##.###....##.#.##.#..####.#.###..#.##.##...#.##.#########.##.######
#.##.#.#....#####.#..##.#####.#.#####.##.#.#.##.#.#.#.###.#####..........#..####.#######...###.#..######.#.....##..#...#.#....######..###.#.#######.##.###.....####.#..#.##.#...#############.......#.####.##................#.#..####.###.#....##....#.###.##.##..#.#.#..#.#...#####...#####.###.#####.#.##....####.####..##..#.....##.#######.###.#...#.####.#######.#..#.#.#.#.#.............#.##.##..#.#..#####.#.#########..##.######.#.###...###.##..###...#####.#.#.##.##...########.##.#.#..#..#.#..#.#.#.##..#.#.#...#.##..###.#.##.####.#...#.#..............#.####.#.##.#..#.#..#......###.####.##.#.##..##.#.#.###....#...###.##..#.###..##.######.#.#.###.#.##..#.########.#####.##.####.##...#..#.###.###.#.##...##....###.##.#....##.#.#....#.#.#.##.....#.#.##
#..######.#.....###.##..#..######.#...#.........#...#.#....##.##########.#.###...#.#.....#.#.#.######..#.#.#.#..##.###.#.##.#..#.#.##.#...#####...#.#...####.#.###..##...##...###..........###.##.#.....#.....#####.##.#.#.#.####.##.....#...########.#.#.......##.#.#.##.....#..##...#..##...........#.#.########....#.##..##.#####..###.##........###....##..#.#.....##.#.#.#######.#.#.#.#.###.##.###.#.##..##.#.#.##.#.#.#..###.##.#.#.#.#.###.##...##...###.##......#########....#..#####.#.##.#.##.##.#.#.#..##.....###....#.##...####..#######.#.##.###.#.#.###.#.#.##....#.##.#.##.#####.##....##..#....##.##....#...##.###.###....##.#.##..##....###..#.#.##....###.#..#.###.#..##.#.#.....#.#..#...##.....##..#..#.#####.#..##.##.#.#####.####.###.....####.#......#
#.###.#.#.#####.##...##.##.#.#.#..###.#########.#.#.....##.##.#......#......#..#.#.##.####.#.#..##..##.#.#####.##......#.#..##........###.#.....#...###...######...##..#..###..#..#.#.####..###########...#.#.##....##.#.#.#...##..#####.#.#.#............#.###.........########.##.#.##..###.###.###.#.#.#.###..####.#.###.##..####.###..###.##.##.##..##..##.#.#####....#.#.##......#.#.###..#######.#.#.###..#.#....#.#.#.##..#.....#.#.#.#.##..###.####.##....######..##.#.##..##.##.#.#...#.#.......##.#.#...#######..#####.#..###..#.#.##.##.......###.#########.#.#.####.##..#.#.##.#.#...#####..##...####...####.#.###....#...####......#####..##.#.##.....#####.#.#...##..#....##..#.#.#.#####.###########..##...##...#.###.###.##.#.#.#.#..#.#.#...#####.####.######
####......#.....###.##...#.#.#.##......##.#.#.#.####.##.##....######.##.###.####...####.#..#.##.###.##...##.#...######.######..##.###.#.####.###########.##.#.###.####.##..###...######....##.#.##.#....#.#.#..####..#.#.#.#.###..###....###########.###.##.##..##.###.##...###...#######.....###.#...........##.#.#....#......##.....#..##.###..##########........#...##......######.#.###...##.#.###...#.#.#.##.####.#.#....##...#.#.#...#.#.##.##....##...####....####.##....#####.##.#.###.#.######.###.#...###....##.##.##..##.#.#.##...#...####.##.##..##.#.##.#.#.#.#.....##..........###..##.#.#####...##.#####....#.#.##...#.#.##.##.#..#.###..#.#.##.#####...#.#.#.#####.####..##.#...#...##..#.##.#.#####.####....###..#..#.#.#..........##.#...#.#.###..##...#.#.#
#....##########.#.#..###.....#.#..####.##.......##.######..##........#####..#.###.##.#..##...#..#.#.####.#....#.....######....###.##....##.#.##.......#........##########.##...###.#.###.#......##...####.#.##.##...##.#.#####...##.####.##.#........########..##..##...##.##.#.#..#.##.###.###.#####.######.###.#.##.#...#.##..#####.##.##.##..##...##...####.#.#...#####.##.##..###.#########....#.#.#...#.#.........#.##.#####.########.....##..###.##..#######.#...#...####.#.....##.#.#.....####.#.##..##.##.####.#..##..##.##.....####.#.####.####..##.##...#....#.#.###.#####.#.#.###.....##..#.#.#.#.####.#...####.#.#.########.########.......####.##.##..#.#.....#.#.#.#.####.##....####.###.##..#.#.#.....#.#..####.##...##.#.##.##.#######.#.#####...##....#.....#
#######.###.........##.#####.#...##.......###.###...##.#####..######.#.#.##.#.#.#.##.##..###.##.......#....#.###.##...##.####.#...#####.#.....#####.#...#.###.##.#.##.##...###.#.......#.##.#.#..###.#....#.####..#..#.#..##...###...###.##.##.#.###.#.#...##.##..##..###..##.####.#.#..######...##...#....#.##....########.#..##.#.........########..##.###.##########.#####.##.##...#.........##...#####.....#######....#..##....##.#.######.##.##....#.####...#####.##.###...#####.##.....#.#.........##.##.##..##....##..##..######.#.#..#..##..##.#.##..#..#...##.#.#.#.#....########.#####..##.#.......#.#..#.####.#.....#.##.##...##.##.#######.#.#..##.##.########.#...#.#.#..#..####.##.###.###..##...#####...##.#.##..###.##...####..#.#.##........###.###.#########
#.....#.....#.#####..........#.#.##.##.#.##....####.....##########...#.#.#........#...#.###...#######.########.#####.##.......#.#.#.#.....############.##.#..............#...#########.#########..#####.#.###.#####.##.##########..#.....#.....#######...#..#..######...##.#..###....##.#.##...#..########....####.#.#....####.##.##.####.#....##.#..###.##..####.###...#.#...##..###########.######.##.#####.##.....##.#...#####.##.....###.......####......###.##.#.....#.###.##....#############.###.##.....##.######.###....##.#.##.#.##.#.###.##.....##.########........#.####.#.#.#....####.##.######.##...##..##....###......##.####.##.#.#...#.#.##.#..##.#..###...#.###.#.##.##.#.##.....##..###..#.###..#..###.......##....###.#.###.#...#..##.##.##...#.#.#.####..#
#####.#####.######..###.#.##...#.####..#..##.#..##..#####..####..###.#.#.########.###.#.#.##.###..#.#.#.#..##.....#.....#.##.######...##.###...........#..#####.#.######.##.##.........##.#######....########........####.##.##.########.########...###.###...#####.###.##.##.#.###.##..#.#..#.##..#.#..###.#......#.###.##....#..##.#....##.#.#....###..#..##.#......#.....#..#.##..##...##..#...........##########.######..#.#...#.#####.#.####.##.####.####...##.###.#.#.#.#..####...###.#.##.######.#..#.###....#.#..#.#.##.#............#.#.#.######.##.#...#.#########.#..#.#.....####.#.#..##..##..#.##.#####..####...#.####.#...##..#......#...#.#..#.##..#.##.###.#.##..#.##.#.....#.###....##.##.#.#.##.#.##.##.####..###.##.#...#.#.#.###.###..######............##
#......##.###......##...######.###.#..##.#####.####.##..#.##....##.........#.##...........##...##.#.#...#.#######.#######..###...#..######.###.#.#.#.###.##########.#.##.#...#########.##.#.#.#.##.###.#.##.######.#.##.#.#...#.#.##.....#######..#......###.##...............#.#.#.###.....######.....##...###.##....##.#####.##..###########...##.#.##.##.#....#.##.##.#####....#.##..#..#########.##.#...##.#.#.....#####...#.###.#.##..###....##.......#.###.##..####.......##..##.##.#.......##....#.##.....#.##.##.#.####.###.#.#.##.#.....#.#.........###.............#.##.#####..##..#.#.##..####.......##...##.##.###....####.####.#########.##.##.#..##.#.#..##.....##.#.##.#.###.#...#.####..#....#.#..#.##.......######.##.##.##.#.#.##..#.#####..##.###.##.#.#..#
###.##....#####.#######.#......###.##.#####.#...#.#..##.#..####.########.#......##.#.#.##..###..#.#.###.#..##........##...######.#####.........#######...#.......#....######.#.#.#.#...#........##...#........##...###....###......#####.........###.#.###.#######.##.#.#####.......#.#######......###....#.#....####.....#.#..###..#.##.#.#####.#..#.......####.#.##.#..###.####....#.###..###.#.#########.#....#####..#.##.#.....#....##..#####.#######.##.##..###..#######.#####.......#######.#####.###..#######.....#.##.#...########.#####.#.#######.#####.##.##.#.###.#.##..#.#..##..##....##.###..##########.##..#..####.###....#.#.....#.#....#.##...##..#...###.######...##.#####.#.######.##.####.#.##....####.#####.#...#..##.#....#....##..##.##.#....#.#..###.##
#...###.#...#.######.#######.#.#......#...#...#...#.###.#.##....#......#####.#.##..#######.#.##.#.#.#.....######.###.#######..#..###.#.#.#####.##.##############...##...#............#...#.##.#....#...#.##.#....########.#.######.#.#...##.##.#..#######......#.######.#.....#.#.#...##....##.#.#.#...####.##.##########.#.##.....##....#.#..#####.#.###.#..##########.##......##.#####.#.##.............#.###.###.###.#.######.###.##.###........##...#.#...##..##.##.....#.##.###.####....##...#.##...#..#####..###.#...##.###...##.#.#####......##.#....#..###########...#..##.#.##.###..####.##..#..##.##.##.#..###.##..#####.###.##.#####.#.####.#.##.#####.##.###....##...###...#..#.#.##.#.#.#..##.#.#.#..#.###.#.#.##..###.##.##.####...#####.##..#....##############
#####...#.#...........###....#.#.#.##.###.#######.#.#.#....####.######.##.###########.#......#..#.#.#####..##..#.#...#.#...##...##.#.###########...#.#.##......######.#...###.####.#.#.#####..#.##.##.##.#..##.#.###...#....##.........#########.##...#.####.#....#.###.###.#.######.####.##########.#.#....#####............#####.#####.#.##...##..#######.##.################......##.....#############...#.#.#.#.#.#.#.#.#.#....#.####.#.#.##.#..###.#...#####.#.....#.#.#.....########.######....###.##.##..#.##.#####.##.....###.....##.#####.##..###.##.####.#..#.####.#.###.#.#...#..##.#...##.##.##.#..##.##..#..###.#.##..##...#.##.##.#.#.......#..##...##..#..#######.#.###.##..........#.##.##...#.#.####.#.#....##..#..##.#...#####........##.#.#######...##.####
##.#..###############.#.##.#.############.#.##....#.#.##.#..##..###....##...##..#...#.######.##.#.#.##.##.##..######.#.###.####.......##......####...#..######.#......###########..######.##########..##.#.#######.###...##.#..#.##.#.####.#.#####..#....#.####.#.......#########.....#.#...#.#.#.##.####.###.#.###.#.##.###.........#.#...####..##.##..##.....#.#.##..##.###.##.#.#..#####.##.#.#.#.##.###...............#.#.##.###...##.#####..##.##....###..#..#######.#...#####.#......###..###.##.#.##..##.#.....##...######...#####.#...##.#.###...#.##..#.#.##.#.#.#..#.#.#...###.##.#..#.#..#.##.##.#.###..##.##.....#..##.#..###..#....#.###.#.#...#####.###...##.##......##...#####.######.#..####.......##...#.######.##.##.#.#...##..########....#.....###..#.#.##
#....##..##.............#########.##.#....#..##.#......####.##.##.###.###.#..##.###...##............##..#..##.##.......#.#.#.########..######.#..###.##.#.####.#####.##.........##.##..........#.############...##.#.##.###...#####.#.#........##..#####....#.####.#.####..#.##.####.##.#.###.#......##.###.......###########.####.#...##.##..#.##..###.#..#.#.#....#.##.......#####.####...##..........########.########..........#.####.##..#.##...####.#.##.##.#.##..#.###.#.##..######.#.##.##..........##..#.########..##.#..###.##....###......###.#..#.##.#.#....#.##.#.#.##.###.....#.#####.#.#...#.....##.##..####.##.###.##...##.####.#.########.####.#...##.##...##.########...#.......##.##.#..####.#######.#.####.#.##.##.####.###.##.###..#.####.#####.##.#....#
########....#.#.#######..##.##.#.....####...##########..#.#.#...#.#...#.####.##.#.###.###########.#..##.##.#...##.##.#.........#......##........##......#.............#########....#..########..........#.#...#.........#.###.##....####.###.#..####.######.#.############....#.#.#.............#.####...#######.#####........###..#.#.....##......##...######.####.#.#..###.#..#.#...#.###.###########.#.##.....#........##.#.##.##..#....#.#######.#.#..#..#.#..#.##.######...###.#.#......##....######.#.###....###.#.#.##..##.##...####..##.##.###.#.##.#.##...##.#..........#....##.##...##..#...###...#####..#..###.#.##...#.#..###...##..#.#..#..##.#.#....###..##.###...##.######.###.#####..##.##.##.#..#.##........#.#..#.##..##..#.#..#.#.#.##....#.#.#.#.##...####
#.###..##########.#.#.#.##...#.#####.##.###..#.####..##.....###.#.###.#.##......#.#...............#.##..##.#.#########.#.#####...####.#########....####...#.#.##.#.#.##..##.#.###.###.##.......#.#.##.#.#.###.#.#.###.#.#.#...##.####..########.#.#....#........#.#.##.....##.....###.##.#.###.#####...#..##.###.##.#..#.#.####...##.#####..######.####.....#.........#####..##.....#........##...#..##......#######.#.#.##..####.##.##.####.#.#.#.#...##.#.##.#.##..#..###...#...#.#.######.####.####..###..#..####.#...#..##.#..###.##..#.#####.........#.#.#..#########.#.###.##.#########..##.#.#.####.###..##.#.##...#..#.###.#.##.##.####.#.##.#.##....####.##..##..#.##.###..#..##.#.#.##..#.##...#.##.##....####.#####.##......####.#.##.#.#.#.##.####.#...#.#..#....#
#.#.#.##....###............#..........#.####....#.##.###.##.##....###.#..######.#.#####.#.#####.#.#..##.........##..##.#.#.....#.#....#.#.##.#######....#.###..#####.###..#........##########.##.######.#.#########...###...######.###......#.#...####.##.#.#.#.....###.#.#######.#...##.#.#...#.##..####........##...######.##.#.#..##....###.....#.####.#...######.##.#.######.#.#########..###...#####.#.##.......#.#.###.##..........#.#.#.....###......##.#.#..##.##.#######.....#.###....#####.#.#####.##.#.##.###.##.##.##.#....##....#.##.#######.#.#.#.##..##..#..#.#.......#..##.###..#.###.#....#.##.##.#..###.##...##....##.#..##........#..##.####.#..##.##.##.#....#.##.##..#.#.##.##.####.#.##..##.#.###.....##.###.#.###..#..................#.#.###.#.#######
#.....##.####.#.#######.#.###########...#....##.......#####..###.##...#.##.####....#....#.###.#####.##..###.#.#..##..################..........#.....#.#######.#######.##.#####.#.##...........####.#.......##...########.#####......######.#.###.#.##.############...######.####...#.#..#.###.#....###.########.######.#.#...######.#..##...#####....##########.#.#.##.#.#.#.#..###.#.#.....##.###.#.#.############.#####.#..#####.######.#.###.#.....#.##.##.#.##..#.#..##..#####.#...#.##.#..##.#.#.##..........#.#.#.#..##..#.####..####.#..#.#....#....#....##.###.##.#.####.#.##.##...###.#.##..####...##.##.#.##...####....####..##.####.#.##.##.##......##.##.##.#..##.###.##..##.#..........##.......##..###.###.####..####.#.##.#.###########.#.####....##.#.......#
#####.....##..###.##.######.#.........#.##.####.#####.#.#.##...#..###.#.##.#..##.#.##.#.#.#....#.#...#####..########.##.#.#...#.#.###.#.##.#.#.#########.##.####.#.##...........#.###.###.######..#...#.###..#.#...........##.######.##.....#.#........#.#.#.#...#..#####.........#.########...###.##....#.###....#####.#.##.###.##########.##.#.#.####.###.............#.#...######.#...###.#..##..#.#..##............###.#.####.#.#.###..#...####.######...#.#.###.#.##.#..##.....##.##.#####..#.#...#######.#.###.....##.###...#..##..##..#.#######.####.###.###..#..######..###.....#.#..........##..##.##...#.#..##.##....####..##.#...#.#####..##..######..#..#.##.#.##..#.#.#..##....#.##.########.#.#.#..###..#.#.#..#.##.#..#.##.#.#.##....#########..##......#######
#.####.##..##..#..#...###...##.#.###.##.#####.####..#.#.#..###...##......#.##..###.##########.##...#..##.##..##..#.#.#..#...#.......######.#.#..#.#.#.....#.#.#..#.#..###.###.#.#.#.#######.##.##.###.#####.############.####.##......#####.#.########.#.#.#.###...##.#.#######.###.#..##..######..#####.......##.............#...#.#.#.....#......###..#.#####.#######.#.###..##....##.##.....####.#.##..####.##.###.##.#.####.......#.##.#.########.#.#..#.....#.#.#.##.#.####.#.##...#..##.##...###.#.#.##..#.#.###.####..####.##....####....##................##.#.##.#.#..###..##########.#.#.#....##...###.#...##...###.##.##.##..#.###.##.###.#..####.###.#.##.##....##.#.#.#.#####.#####...##..##.###.##.#.##.......##..#.##.#.##.#.#..##.###....##.##..#.#.##.#.....#
#.#.######.###.##.###...###..##########.#.##.....##.#.....##...####.####...###..#...####.##....######.#...##..##...#.##.#.####.####.##.#...#.##.#.#.#####.....##.#.######.#...#.###..#..##......#.##..#......##.....########..#####.###..#..#..##.#........#.####.##..#.#...#...######..#.##.##.####.#...#.##.####.##.#.#.###.##.##.#...###.######.#.##.#.#.#####.#.#.#...#.##..####..########.##.#....##.#.##.######.##....#.#.#.###....#.#..##.#.#..#.#.####.#...#...##.....#########.#.##.....#.....#.#.#..####.##...#.#.##..#.#..####..###.############.#.##.##..#.##.#.#.##.##....#.#..######.###.##..#####...#..##.##.#.##.##..##...##..##.#.#...###.#..##......##.##.#....#.#.##.#...##.#####..##..#.........##.#.#.####....#.#.##.....###.#.#.#####.##.#########.###.#
#...#.#.##...#.#...####.#.#.###.##.##.#......###......#.#.####.##.###....#.#.##.###.#.#..#..##.#.###....#####..###.#.##.####.###....#....#.#.##......#.#..###.#....#.#....##.#######.##..##.###.#..#.#####.#..#####....###.#.##..##.#.##.##.##......#.##.#.........##.#.###...#.#.##.##...##.#..##.....#.#.############.###......##.#####.#.##...#.#..#.#.#.#.#...#...###...#..##.###..#.#.....#....#.##....####.#..####.##...#######.####...##....##...###.#..#.#...#..####.##.#.#........###########.#.#.##.#.##..##.##....##...#.####..##.....#.########.####..##...##.....#..##.####...##.######.#..##.##..#.###.###.##.#.##.#..####.####.##.....####....####.######..######.#......##.##...#..##.######.#####.##..#.#...###.#.#....###.###.........##..##.#.#.##.##..####
###.....####.#.##.##....#.#.##..##.#..##.##.##...###.####......#....######.#.#........##.####....#.###.###....###....##.##.#.######...##.#####..#.##.#.####.#.##.#...##.#.##..##...#..##.####.....####.######...#.###.##.#....##..........#....#.##.#.#..###.#####.#......#######.......#......######.##.###.#.##.##.######.####......##....####.#.##.....#.#.###...#.#.###.##........##.#####.######.##.##..###.#.##..######..##......#.##.###.#.##..#..##...######.##..#.#..#.#.########..##..#.#.#............##.##..####..###.#.##.##..###.###........#.##...#####.######.##.#....####..#..#.##....##...##.....####...#.#..#.##..##...#...##.###....#.##.##...##.##..###.##....######...###.#.##...###...#........########.###.####..##..##.#####.#..##.##...#.##.###.#.##
#######.#.#.....#..####.#...#..##..##..###########...#....###.##.#####.##......####.####.#.#####...#.#.#.##.#...####.#...#.#.#.##.###.####...####.#.....###.#.######.#############.##.#.....###.#..##..#.##.###........#.####..##########...##.#.#..########.#.......#.##.........#.#.########.#.#.########............##.###....####.#..##..##.....##.##......####.#........#######.##...#....#.###...#.##.##......##.##...##.##.##.#...##.....########.####.#.......##.#.#.##.#..##.##.#.####.#.....##.#####.####....##..##.#.#.#.##..#.###..#.########.###..#..#......###...#.##.###..##.##...#####.####.##.######.##.##.#.##.###..###.#.########.######...###..#.##.##.#..####.##.##..###........#.#.###.#.#.###.####.##.#..#..#.###..##..#....########.##.###.#...#..#..#
#...........###.#.##.##.###.##.###.###..##.#.######.##.#####.....##.#...#.##.####....#.#....#.####.#.#....#.###.#....##.##.#...#....###..##.##.####.#.#.....#.#.#.#....##.....#.......####.#######..##.#.#..#.##.#####........##.###.#.###.##..#######.......#.#.##.####..#.###.#.######.#...#.#.#..##......#.#.##.###.#...#..##..###...####.######.#######.##......########.....###.####.####.#.....#####...#####.###.#..#.#...######.###..######.#......#######.#####..#...##.#.##.......#.#..############.#.##.###.##..##......#.###...#.##.#.##....##..###.##.######.#.###...#......##...##.##.#.#..##........#.#.#..##...##..#..##......#.##..#..#.##..###...##.##....#.###...##..##.#.####.#####.#..##########...#..##.##.##.......###.##.##.....##...##..#..#.#...##.##
#.####.##.###.#......#..#......#.#.#.#.##....#......#..###.#####.##.##.#####.#..####.#.##.#....#.....####.#..#######.#..##.###.####..#..##..#....##########.......##.########.#####.#.###..##..#.##.##.#.##....###.....######..#............######.##..###.#.#.###.....##.#..####.##.#.#.###.#...#.######.###.#..###.....#...######...#.##............##....##.#.#.##........#.#.................#.#.#.##..####..#.##..##.#####.##.##....##....##..#####.##.##.######.##.###.##....#####.#.#.##.##.#.#.##..#.#....##...##.##.####.#...###....#....####....##.#.#.....##..#...###.###.#######.#.....#.#.########.#.#.#.##..###.###.##..#####.##..##.#.##..##.#.###.##.###.###...###..#.##.....#.#.....####.#.##..#....###.##..##.########.#.#..#..##.##..###.###.#.##.#####...#
####.#######....#.##.##.#####.##.#.#....####.###.#.#####.#.###..........##.####.#......#######.#####.###....##.##.#..##.##.#.#.#####.##.###.####..###.......#.###....#.##.#...#...###.#.##.###...........##.##..#########..###.##.#.##.#.#.##.##......##...#.######.##########....#..........###.#.##.##..#...#########.##.###......######.##.#####.#....####..#.######.##.#.#.##.##.##.##.##.##.#.#....##..#.##.#..##.#...##...##.###.###..#.####..##......##..##..#.....#..####.##...###.#.#...#.....###.#.#.####..#.....####...##.##.#.##...#.##....##....#######.###.###.#....#..###.#.#.#####...#.#.#....#.###.#.##.####.#.#....##.###.###.......##.#.....##.##.....##..###.#.##....#.###.#.#####..#.#..##.###.###...##..#.#.#......#.#.##.######.##.#.#.#.#.##..###..###
###...#......##.#.#......##....#.#.####..##..##..#.##.#......#.#.#.#.#.##...##..#####.##.#.#.....##......##.##....##.#..##.#...#..#..#...#.......##.#####.#.#.#...##...##.###.###..#.........##########.##..###..#.##.#...##.#..#.##########.....#.##..#.#.#.##..####..##...##.##.#####.##.#.......##..#########.#.#.#..#..#...####.#......#######..#.#####...####......#..#.#.#..####..#...#.#..###.##..##........##..###..#.#.##.#....#..#####.##....########.###.#.#.#...##.#...###.#.....###...###.........#.#########..##..#.....#.####.#######.#####.#.............#...####.#.##.#.#...##.####.#.#.####...##..#.#...#.#.#.##.###..#.#...######.##..#####.##.##.###..##..##.#.#..#.####.........##.#...##..#.....##.##..##...###.##.#.#..#.##.#.###..#.......#..##.##..##
#.###.##################....##.#...##.#.####..##.#.#....#.##...#######.####.##.##.#.#.##...#####..##.#.###...####......##..#.#.##.##.###...#.#.#..#.#.#...#.#.#.######.##.###...##...##.#.##.#.#..###....####.##......###......######.#......#.#################...##.####.#####..#..########.#.##..##..###..##........###.##.##....##.###.#.......######...#.#..##.###.####.####.#.###.##.###########..####.#####..##.##..####.##.####.##...##..#####...##..##..##.#######......#..#..####.#####.#######.##.#....#.#..#.##.########.##..#.....##.######...##.#####.##.#.###..##..#.#..#.#.###..#.##...#..#####..##.....###...#.#...##.##...####......##.#.##...#.##...######......#.##.#..##.###.####....#####.##.#####.###..###.##..#..#.#.##.##....###.#######...##...##..#
#.##..#.#.###..#.#.###########.##.##....#..##.###########.#..#.####.##.#.....#.#..#...####...#.##..###.#####..##..##.####.####.##.#..############.#.#.###.#########.#.....#.###.######..###....##...####.#.##.#######..#######.#.##.....#.#.########....#.#.#..###.....#.#.#..######.#.#......#.#..####.#.##....###################.#..#...#########......#.#...##..##..#....##.###.....##.#.#......###....#####...###.#..##.#..##.#.....#.#####..##.#.#####..#.##.....#....#.#####.##.......#..###.......######.##.##...#....##...#..##.###.###..#.#..###.#####.#######..###..##.#.##.#.#.#.#.##.####...##.#.#.##..#########.#.#.###..##.###..####.####....##.##.##.###....##.###.#.####.##...####.##.##..##.#.#...#.#..#.#.##...###.##...#.......##.....##...##.###..####.##
#..##.......##.....................####...###..###..###...##.###.#.....#####.#.##...#..#.###....#.##...#.#.##.###.#.....#.#.#...#...##.#.#####.............#.##...#...#.#....#..#.##...#######.#..###..........##.#.##.#.##.##...#..#.##########.#.####.#.#.##.####.##.....##.#.##...#...#########.##.#.#.###.######.##.#.#.###.##..########.##......##.#.#.#.#####.#..###.###...########..#...#.##.....##..##.##.##.#.##......###.###.#.....##..##....##....##.######.####.#.#........###.#.#.##...#.#.###.#.##.....#.#.##.#....#...##..#.....##.....##.###.#.#.#.#.####...#.##....##.#.#.#....#..##..#.##.#.#.###.#.#.#.##........##.#..##..##.....#.####.#......#.#.##.#.#####..#..##..##.###.##..###..###.#.#.###...##....###...#.###.##.########.###.####.##.#.##...#...#
##..##.#.##..#############.##.##.#.###..####..##.##.....#.######.#####.#..#..#.##.#.##.#...##.#.#.######...##...#####.###.#.###.##.###.#.#.#.###########.###.####.##########.##...#######.#.##.##.#.##########.#.........#...###.#######.#.#.#.......##.#.#.##.#.####..###.......###.###.#..##.#..........#.###...........#.#.#..####....#......##.#..###.#.#.#..#..#.##.#######..........#########.###.###..#.##.##.#.#######.##..#.#######..##..####..####..#.#..#.#......####.##.#.##...#...####.#####........##.####.#####.#.###..##...#.###..###..#.##....#.#.#.#..###....###.##....#.#.##.##.#..####....#..##...#.#.##.#.##.#....#.###.#######.#...##.#.#.##...#.##.###.#.#.##.##..###.###..#.###..##.......#...######.##...#####.#.#.........#..####............#.#.###
###.########........###.####..####.#.##.##.##..#..####.####.##.#.....#.##.##....#####....###..#....#..####.#..#####.#..##.......#..#.#.....#.#...........###.#.#...#.#.....#.#..#.#.#.#........##...#...##.....####.#.##...###.#.#.##......#.#####.###......#....#.#####...##.##......#####......#.#.#.##.....##.#.###.##.....##......##.#####.#####.###########.#.#####.##...#..##.####.###.##.#...#....###....................##.#..##.....##..##.###..##..##.##...####.####.######..###.###..###.#..####.####.####.#...##.#####...####.####.#######.#.#####.......##.#.####.#.#.###.#.#.####.#..#.##.#####.#.#####......#########.#...##...##.....###.#....######.#.#...##.....##..#.##.#.#.##.#.#.##..#######...####.##...##.##.##....#.#########.##..######.##.#.####...#
#...#.#.#....##.#.#........####.##.#....##.###.##.#.#..##....#.#.#.#.........##.##.#####...#####.#...##......##.#.#.##..#.#####.##.#.#####.#.##.######.#.#.....###...#####.....##...#.########.####.###.######...#########.#.#.#.#.#######...........######...##....#.####..#####.##.##.#.###.##.#.#####..############.######.###.##.##..........###.#...#..###....##.......#...##..#..####.....##.#######.########.#.#.###.#.#....##.######..##.##.#.##..#.##...#.###..#####...##.#####.####..##.####..##..#....#.#..###.#...#.####........##.#.#.......#.#...#.###.#...............#.#....#.#.##...##..##......##.#.####....#.###..###.####.######...#.##.####...#.#...###..###..##.#.##.#....#.#.#..#.###......#.#..#.###.##......##.###...#.#.#####..####....####......###
###.#.#.##.#########.#.##.##.......####.#...##.#..#...###.##...#######.#.#.#.#..#.....##.###..######..######.##.#......######........##..#.#.####.##.#########.####.##..#####.#####.#........#.#.##.##....##.###.#.#...........#.#..##.#...#.#.#####.#.#.##########...#.#######.###.......#.#.####.##.###.#.##..#.##.#.#........##################.#####.#.##...#.##..#.###.#.########.##.#####.####................#.#.#...######......#..##.#..#..#..##....###.#...##.###.##.###...#.#.##.##....##.#.##..###.#...##.###.###...#..#####.####..#.#######.#.#####.#.....#.####.##.###.######.#...###.####..#####.###.#....######.#.####......#..#.#.###...##..#.#.#######.#.####.#.###....#.#.####.....##.#.######.####.#.#....##.#####......###.....####..#.####....#.####...#
#.#.#.#.#####.##.#.#.####..#######.#.##.##.###.##.#####.######.##.#.#..#.######.##.##....##..##.#.###..###....#.######.#.##.##.#.#.#..##.#.#..##...#.#######......#.###...##..#..##.########......#.###.###..#...#.######.#.##...#.##..##.########.#.#.#.#.###.#.####...............#####.....#.####......#..##.#..#.########.#####.#................###......#.#..##.#########.............##....###.#.#.##.#.##.#.#.#.#.#.##.....####.#.##..#.##.##.######.##....####.#.#.##.#.###...#.#.....#####.#..########.####.#.#...##.##.##..#....##.##..#.#......##.########.#.#.....####...##.##.##.##.#...##.##.#....#..#.####..#.#.#..########.#.##.#.#...#..##........#.##.#..##......####.#.#...##.######...##......#.#.#.###.##..#.##..####..##.#####..#.##......####....##.##
#.....#..#..#....#.###..##..#............#.#.#.......##.##.###....#.#######.#.#.####..##..#.##........##.##.#...##.#.....##....#####.###.#.#.##..#.....#.#.######.#.#.###..#####....#..##....#.##...#.#...##.###...##.##########.#..##.####...#..................#.#..######.########...###.###......##.#...##..##.#.##.#......##.#.#.###.##.######.##.####.#.#.#.##..#....################.#..#.##...#.####.#.#..#.###########.####......###.#.#..##..#.#...#..##..#.#.#....#.#.#.###.....###...##..##..##.#.....##..#.###....##..##.###.##..##.##.######.##.#.##.#.########.###.###.#.....##.##...###...#.##.#...##....##.#.#...##..##....#.##...######.###.#######.#..##.#..##.#..##......####...##.#.###..#.##...#.#.##...##.#..##..#######...#.##.#..######.#############
##.##.##.##.####...####.###.#####.#.##.#.#.#.#####.#.#..##.#.####.#..##.##......#.#..####.#.######.##.##.######....###.###..######...#.#.#.#.#..######.......#.#......#.##.#.#.####.##..###########...###.#....#.#....#..#.#.......###.#.####.########.#########...#.##.##.###....#####.#.....##.#.########.###.#....##.####.#......###########.##..........#.#.#.#..#####..#.......#.........##....#.#.#....#.##.###...#####.###########.....#.##..##.#.###.####..##.#.####.#.#.#.#.#######.##.####.#..##..####.####.#.#.####..##.....##..##.##..#.#.#....##.#.#..#.##.##....#...#.#.#####.#...###.#####...######..#.####....###.##.######....###.##......##.....#.#.##.#..#.######..#.######.#..#..#.#.#.##.###..#.#.#..##.##....##..##..##.#.###.#..##.#.#.#.....###..#.#.#
####.............#..........##....#..###.....#######.##.#....##.#...##.....####.....###.......######......##.###.#..##...#####...###.#.#.#...####.#####.#.##.....#.##........#..##.....##..###...####.....###.#######.##...#######.#.#.#.#.##.##.......##.##.#.###.###...#...####.....#.##.#.########.......#.#...#.##..##.####.#.#..##.##.#.......###.########.#.#.##..###.#######...##.#.##.#..##.#.#####.##.##...##.##.#.#.##..........###......##..#.##...####..#.#...##.#.#.#...##.##.........#.##..##....#.##.....#.#.###..#####.##.##...##.#...####......##.......########.......###.##.##.....#.#.###.#.##.##..#.###.##.#..#..#.####.###....######....#####.#.##.#.####..#.##.#....##....#####.#.#.#####..####.##.#..#####..##.#..##..#.#.#...###.#.#.##.####.#.##.#.#
#....##.#.#.#.##.#######.##....#.###.##..#.#.....###.#..####....###..#######....###...###.#.#.....####.#.##....####..#.###.#.###...#...#.##.####........#######.##.#########.##.###.##..##.#.###......###......##.#...#..###...###.....#.#.#..###.##.#.#...........##..#.#.####.#####.#..#####.#..#...#.#.#.....#.#..##.##...#######.....#.####.#.##...#..##.##########.............#.#..#..###.##..#.###...#...##.##...#.#.#.#..##.#.#.###...####..##...####.#..##...##.##..#.#.###.#..##########...##.######....#.#.#.........##.###.#...##.###...###.#######....##.##.......####.###.....##..#####.#.#.##....#.....##.#.#..#.##.##...#.##.#.####....####.#.#.##..#.##.....###........##....#######..#.#...#.##.#.##.#..##.#.##..##..#.####.#.#.#.####......#...##.....#...#
#.##.##.###.#..#.#....#..#######..######.######.##.#...##.#####.#.#.###.#.###.#.#...###...#.#.#.#..#.###..####...###.#..#..#.#.###...#.#.#..##.##.##.######.########.###.........######.#..#.#.########...###.##..###...##.###.#.###.#.....##..############.#.##.#.#####.#.#.#..#.#...##..#.#..##.#.#.#.#.##.#.####.##...##.##...#.###.#......#####..####.....##.#.#.###.###.####.###.#.#########..####...####.##..####...#.#.#####.#.######.###.#.##..###.##.##.####..#.###...#.#.....##..........#..#..#.#.###.########.#####.##.#.#.##.##..#.#.####....#...####.######.#.##...####.#####.##.###..#.#.#..####.###.###....##.#....####.#......#.##.####.####.#..##.#..#####...######.#####.#..#.##.##.....###..#.#.##.##..#....##.###.#.#.#.........#.###.####.###..#.#...###
###..####...#.#######...##.......##......#..#...##...#..#.#.#.#.....##........#.###.##..#.#.######.#.##..###.##.##...#.##.##...#######.#.##.##.#####.##...........##.....##.##.#...##...##.....#.#####..###.#....##.#.#....##....#########..#.##.#.##.#.....######.#..#..#.#.##...###.##.##.#.##....##########.#.....###.....###....#####.###.###############.##.#...#.###.####.#####.###.###...#.##....#.##....####....#.....#.#.#######.####.....###..##..........##....###.##.#####.##############.#.##....##..##.#..###..........#..#.###.#.#.##.####.##.#####...##.########.#.#..#.#.#.##.#.##.#.#.#.##..#.###..#..#####.##.###.##.######....#.#.##..##..#.##....###.#..####.#...###.######.....###.#..###.#.#.##..##.#.#####.......#.#.##.#.#.##.......#......########.#
#...##....#.###.#.....#..##.#.#.#####.#####.###.##.####.#.......#.#..##.#.#######....##.#.#######..#..##.##...#..###.#.##.####...##.#....#...#.#.#...########.#.#....##.########.#..###....###...#.....###....##......#.#.######.#..##..###.#.#..#..#.#####.##..##.##.##...#..###................#####.##......###.#.....###.#.####...#...#.....#...##.##...#.##.##.##..#..##.#..#..###.....##.##############.###....######.#...#.##.##.#.#.#####.##...######.###.######.##.#.##..#.#......#########.....###.####.##.##..#..######.#...##..##...#..#.#..#.#..##..#.###...#.#.#.....##.#.....##..........#.###.#.....##.###........##.#....#..####...#.###.#..##.##.####...##.##...###.......##.##.#####..#.##...#...##.##..#...##..#######....#.#.#######.##.#.######...##.#.#
##.#####.##.#.....#############.#######.....###.#####.....##.#.#####....#.##......#.##..#..##.#.##...##...###.##.#.....##..#.##.##....##...###...#####...#....#.##.#.##.#.....#####.#.####.#...#.#######.#########.#.####.#.#.#....##..##...#.##.##.#.#.###.###.#......###.#.##.#####.##.##.########.#..########.#######.#..........#...#######.###.##.##.#......##..##.##.#..##.##.....#.#......#.#.#.#.##.#...#######.....#.#................##.####..#.#...#.####..##.......#.##.###.##.........###.###.#.#....#..###.####.###..#.#..##..#.###.##.##...##....####.###.#.....#.#..#.#.###..###.####.###..#..#.#.#.#....#.######..#.####.#.##..###.#.#...##..#.#.....#.#....####.#.#.#######..##.#.##..#####.#.#.###..###.#.#####.#..#.##.######....###...###..####..###..#.#
####.###.##.##.##.####.#.#.##....##..######.#....##.#####.#..#.##....#.##.###.#########.##.#..#....#....#.....#....#.#..##.#..#.#####.##.#..####.#..####.####.#.##.###..#.#.#.#.##..#.##...###.#..###......###.....###..........##.###.####.#.##........#.#.#.....#.##..##.#.#..###...##.##.#..........##.##.##.....###############.#.#.#...............########.##.##.....##.##.##.##.########.##.#.#.#.#....###.##....#.#####.#.#.##.#.#.#.#.......#.##.###....##..##..#.###.#.....#####.#######..##..##.#.####.#.##....###.#.##.#.##..##.#.#.#....##.#....####.##.##..##########...###...####.#....#.#.##.######.#.####.##..##.##.#.......##..##.#.#.#..##...#.##.#######.............##.##.##.#.#..##.#.###.#...##.#.#......##.#.##.#..###.###.###.##.#####......##.##.#.#
##.....############........#..##.###..........##.#........##.####.#.##.#....####.#.#.########.###.##.##.#.###...######.##..##.#.#.#.###..##..##....##....#.####..###...######.#..##...#..########.....##.#.....#.#.##..###.####.#.............######.####.#############.#..#...##.#.#..###############....#...#####.....#.#######...#.####.##.#.###.#.#..##.#.#..##..##.##.....#..######.#.####.#........##.#.##..#######.#..#..########.###.####.##....#.#.##.###..########.#.##.####.#.###.......##..##..#.##...#.#####.#.#...########.##...#...#.#####.##...#..##..##.#..........#..####..#.###.##.........##.#..#.#.####..##.....######.####.#..#.###.##..#....#..##.###.#.#.##.######..##.##.#.##.##.#.##..##.##....##.#####..#.##.#.##.....#.##..#..#.....#######.##.#.#
#..##.###..##.##.#####.#.#...#####.#.######.####.#####.#.##..##...#..####.####.........##.#.#.##..##.##.#########.#.#..#..##..#.#.#..#######.###.#####.#....##########.#.#....##....#...##......##.#.##..###.###.#.###.########.#.#.#.#.#.###.#.#.....##...##..####..#..##.###.#..###.###.###.###.#######.###.#.....#.#...........#.####.#########..####......##..##.#########.##..#.##...........#.#.##.######..##...######...###.##.########....#####.#.#.##.#.##.##.##.#..#..#.##...#.#######.#..##.###...####.#..#.#....###.#.#.##.#..###...###.##.#######.#.####.#..#####.#.#####....##....##.#..##.#.#####.##......##..####.####......##.#.#.##.##...####.########.#.########....###.##..##.#....#..#.###.##.####.###...##..##.#..#....#########.##...######..#.#.#....#
##.#..#.##.#...#.#...######.##.##..###.#.#####.........#..#############.###.#..##.##.#.........#####.##.##..........##.##.###.....##..#.##.....#.#...####.#...###..#####.####..####.###.###.###.############.###.###.#.#......#.#.#.#.#.#####.#.#####..###.###.#..##.##.##..##...####.#.#.#...#.#..........##...#.#.#.##.#.######.###.......##.#.#####.######.##.##....#.#......##...###.#.#.##.#.#.####.#..####..###...##.###.#.#....#.#...###.#.#..........#.#.#..##....##.##.#..###.....##....##....#...#..#...#.##.####..##.#.#.#....##...#######...##...#.#.##...##.#.#.#####.#.###.#####.#########.###.##..#..#.######..##...#.##.#.#..#.#...##.#..#..##...##.##.#.#.##.#.##..####.#..##.##...#.##.##.#...##..##......#####.#..#.##.####.##.##.#..#.#######..##.#.#.####
#####.#.#..###...##.###.#.###...##..#.....##.##.##.#.#.#.##.#.####.#.#..##....######.#.######.##.##..######.#######..#....#.#####....##.#..#.#.....#####..##.##...##.##..#.###....#.##...####.....#.##.###.....#####...##.###...#######.#...#.#.#...##..##.#.#.##.....#.#..#####.#..#.#.#...#.#.###.##.#.#....#.#######..#.#.###..#########.#......#.#..#.#.#....###.#...#.####..###..######.#..###.##.....##.###..####.##.....#...##...#.#.....#.#.##.##.##.....##.#####.#..##...##.##.####..########.######.###........###.##.#.#.####.####..##.#####.####......###..#.#...##.#.....##.##......##.##....#...##.####..#..##.###.###.#######.#.##.##..#####..##.##..##...#.##.#..##.#.##.#.##..##.###..#.#..###.#..#######.##.##..##........##.##.##.##...........###...#..###
#.#.#.#.##.#####.....#........#..##.####.##.....##.#.######.#.#..#.#.##.#..#.##....#####..........#.##....#######.##...##....##.####.##...######.###...#####.####.....##....#####....##.##.####.#..........##.##.....##########.##.#.######.....###.##.##..#...######...##...###.#.####.#####.#.###.#..#.##.#.####.#.#######.....##...........#.##...##...#.####..######.####.##...##.#.#.#..##..####..#.#....#.##......#########.##..#...#.#.########..###..###......#.#...#####.##....#.#####.##.#...#.###...######.####.#.##...#.#.#...#.##......##.....####.#...##.#.###......#.#.....######.##.#####.#.###...###.##.##..#.#...#...#.#...#.##..##..####.##...#.#####....#.#.###.#..#.#..##..#.######.##.##....##..##.#.#...##.##.######.##..#..#..###.####.##...#.###.##.#
#...#.........######.########.##....#.##....###.##.#.##.#...#.##.#.#.#....########.##.#..#.#.####.#.#####..#.......########.###.##.#.####.#........##.##.#.#.#.######..####.#.####.###..##..#.###.####.#########.#######.#......##....##.######.#.#.##.###.###..#.###.#....#.#...#..##..##......#.###.###########.........#####.########.#.##.######.####........##...##..#......#........######.#....#######.#.#..##.#.........#####.#.#.#.####.###...#######...##.#.....###.#.#..####.#...##...#...#.....##.##..##...#.#....###.....###.#....#.#.#######.#######.##..#.#.##############............#.#..#.#.##.##...##.###.#...#.#.###.###.#.###.###.#.#...##.##...##..####...##....##...##..##.#.###..#..#..######.#....#.###.........#####.##.##.##.....######.##..##.#..#
#.#...#######.#.#..........########......#.##....#.#.#..###.#.#......######.#####...#.#.####.####.###.#.##.##.#.##.##..............#..#.#####.##.###..##.#.#.#.#.#.##.##........###########........##..#.......####.##.....##.#..##.#..#...##.....#.#...#...###.#.#...######.#.#...####..######.#.###.#.#..#......#.#.###.#.....#.###.##.#######..........#.####..###.###...##.#.#.#.#.##..##....###.##...........##..##.#.##.#..#.#..#.###.#..#..#..#.#.......#..#####.#..##.....##......####.#...#######..#..##.####...####.#.#####.#...#.##.#####.#.#...#..##.#.###...#.#..#...##.#.###.####.##.#...##.#...##..###.##..##.#.#####.###.#.#....##..##.#.#.###...###.##.###...######.##..#####.#....#.##.##.##.##..##.####.#...#####.#####.##...#..#.###.##.#.##.#####.##.#.##
####.#######......#.#.####.#.##.#####.####..###.##.#.##.....#.#####.####.....##.###...####...#.....##.#.#...######.#######.##.#.##...##...######..###......#.#.#.#.....#######.##....###..#######.##..########.##.#.####.#.#..########.###..###.#...###.#.#.........########.#####..##..##.##.#.#.#.###.##.######.#####.....##.##......###..#....##.#####.#######...#.....################.##.##.#############.######.##.#.#..##.....##.######.##...#####.##.#.#####.#..##....#.#....##.#..#.#####.#..#.###...##...###.####........##.###.####..#.#....###.##.##.....###...##.##.##..#..####.....#####......#####..##..##..#......##.#.#...###.###.##.......#..###....#.#.###..#.##.....###..#.#.####....##.......##.........####.#.........##.##.##.#.#.####.....#.#..#.....#
#....##......#.#.#######...#.##.......###..###...#.#####.##...#.#...#..#####.#...###.###.#########......###.##.#.#..###..#.#..#.#..#..##.##.##...##.######...#.#.#####.##..###.####.##.##...##.....#.##........#....#..#########.#.##....##.#.#####.#.#.#########.###.........#....###.##..#......#.##.....#......##.###.##.##.###.###...##...##.#..#.....#.....###.###.####.##...#.#.#.....######.##.#..#.....##...########.###.#.#..#.#..##...#########.##.#.#.....#.####.#.#.#.##.#..##.#.##.#####...#.###....#.....##.##.#.###.##.#....##..##.####.#.......####.##.##.###.#...##.##.#.####.###.....#.#####..##.##.####.#.###.###.#.###...#.##...###.###.##...####.#....###.#..###.###.##.#......####.####.#######.####.###.#..#.#######.#..#...#.......#..#####.##...#.###
###########.##.###.#...###....#########...##...#.#####.#.#..#.....#...###....###.#.#.##..#.##.##.######.#....#.....##.##.####.#.#####....#...##.###..####..#.#.#.#......#.##....#.......###..##.#.########.#.#...##.##.##.#....#.#..###.##....#####.#.#.###..############.###.####.#.#..##.##.###.#..##.##.###.####......#..#....######.##..#.####.######.#.#.#......#...##...###.......#.#..#.##..##.##.#.##.#####.##########...####.#.##..###....#.#.#..##########...##.###.############.#.#..#.#.###...##..#####.##.#...#####.#.#..###.##..###.##.....#####.###..##.##.#...###.##........##########.#..##.##.##..#.##.....#####.#.#.#.###...###.###..#......###.#..#.####...#.##....##......###.###...#.##..###..###.#..#.#.##......##.####...###.#######.#####...##.##.###
#.#....#.....#####.###.####.###.###.....#..#.#######.#...##.##.######.#.####.........##.##..#......####.####.####.##...#.##########.####...#..#.#.##....####.#.#.######...#####.######.#####....###.#.##########.#..........##...##.#......##...#.......#.##.....##.#.#####.#.#.##...#.###..###...#.#####....#.####.##.#.##.########..#....####.##.##.....#.###.####...######.#.##.#.#.##.##....##.#..#....#..##......##.#.#####.##.#.#..##.....##.......##..........#.#..##..##.#.###.#...#.#.##.#..####....####.#.#..###.##.#....##.##...##.#....#####.#.....#.##.#..##.#.###....####.##.##.##..##...##.#......##.#..#####....##.#...#..####..##.#.#########.#.....##.##.###....###.###.##########.###.#.#..##.##..#..##.#.#.#..#.##..#..#.###..##..#.#.##.##..##.##...###.#
#...##...##.##..................#.#####.#.#####.##.#.######.#..##.....#..######.#.##....###.###.##.......#.#.#.....###.#.#.#..###.#..########........#.####......##.#.###.#..##.##......#.####.##...#.#.....#.#############.####......#.##.#..#...#####....#####.........#.......###.....##..####.#.#.##..##...#....##.#..######.#.##.######........##.#.########....#.###.......#####.######.#..#.##...##.#.#######.##..#.#.#...#....##..####.#######.#######.#.#.#.#.##....###.#.#.#.###.#...##.##...########...####..##......##.#...##.##..#.####.#########.#.##.#.##..#...####.##.###..##.###..######.#.#######.#.####.#.#####.###...##..##.##.#.#.#.###.#...#####...#.#...####....#.....##...##.##....##.##..##.#.##......#.######.#.##.....####.#.........###..###..#..#
#####..#.#...##############.###......##.###.#...............##..##.##.#.##...##########..#..#.#####.####.#.#.##.##.#.#.#.#.#.##...##...##...###.#########.####.###....###.#.##...#.#.##....########...#####.....#.###########.#######.#.##.######.##....##.#.#.#########.##.####.#####.#####.#.##.#.#.###.##.####.#.#..####........#.....####################..#..##.#.#.#####.#....##.#......##...####.#..###........##...#.#.#.##.#.######...#.......#.......#.#.#.####.#.##.......#.#...#.####..###..#####.###..#.#.###########.###.#..###.#..###.#.##...#..#.#.....##.#.###........###.##...##.#.##...#..#...#..#.##......#..#.#.###..##.##.##...#.#...#.#.###..##.###.###...####.##.######.####..##.####.##.##..#.###.#.###.....##....#####.#.#..#.#####.#.#.##...##.#.##
#.##..#####.###.#.##.....####...#.##.######.#.#.##.#.#.#.#.####.#####....###.#.#.##.#.##.##.#.###.####.....#.####......#.#....###.##.#....#.#...##.##.##..#.#....####...#.#.##.#.#####..##.#.##..####.#.#######...........##....#.....###..#...##..##.###....#.#.###.#......#....#.#.#.#.##.....#.#...#.###....#######.###..######.####.##.#.#......#.#.#.#.##.#########.....#.##.#..########.##.#..#.######...#.#.##..###.#.###.#..###.##...#.##.#.##.######.####.#.##...##########...###....##..##.##.........##.#.#.##.#.#.#........#.##...##.#.....####.##.#.####.###....###.#.###........###.....###...##.###.##..####.###.##.#.#.#.##..##.####...###.#...#.##.##.##..#####..##........#.#.##...##...##..#..###...#.###..#..##.##..#####..#...#.##.#.#.#####..##.##..#..#
#..####.######.......###.#.####.#.##.#.##.#.################.####.#.####.##.................#.#.#....#.###...#.#..#.##...##.###....######.#####.##.##..##.....##.##.###........###########.#.#..##.##...#.#.#.###########.##.##.###.#...######....######..##.........#####.#####...#.....######.#.##.##.##..####.#.#.###.#.##........#.......####.#.......#......#.##.######.#######..#.#.#.#.##.##....#.#####.#.#.###.....#...###.##....################...####...###..#.#..#.##....#...###.####..#.###.##.#.#...........#.#.########...####....#.#####.#........#...#.####..######.########.#.#.###.#####.....##.##.##.#......##.#...#.###.##..###.###...#.###.##.......##..###....#.##.###....##.#####..##.#.##.###.#..###...#######...#.##...###.........#.##.##...##.#.##
##.......##....##.####..........#.#...........##..#.....#.#..#.##...#.#...##.####.#.#.#.###...#.####.#######.#.##.#.####.##.#.####.##......##.......##.####.####......###.#.##..##.#.......#.##.......#.......##..#..###...####.##..###.#......##.##.....##..##.####.##....#.#####...###..........##..#..####.#....#..##.###########...#####.#..####.#.##.######....#.#.#.#...##.#.##.#.#...#########.##.#.#########.#.###.#.##########.##.#.......#.##.###....#.#..###.####....##.#.###......#.##.#.#.#########.##.#####.#....#..#.#..#...#####.#..#.##.########...#........##.##.....#.##.#.#.###.#.#..##.##.##..##.#..##.#####..###.#..##.##.##....####.#.###..##.########.#.###.#######.#.####..##.#..##....##.##....##.#.####.##.#####.####..#..#########.....###.......#
######.#..####..#.#....###.###.##.##.#.#.##.#####.#####...##....###.....#.###########.#.#...#...#.#...#.........#.#.#.......#.#.....#.##.#..######.###.#.#####.###.######.#.###.#..#####.#......###.#########.###...##.##.###...###.#####.####.#...#####.##.#####.......#.##....####.##..######.#####.#.##.#..####.#.##..##.....#####.##.......###.######....#...##.....#.###.#.....#.#.#.#..##.##.##.........#.#.##.####.....##.##.....##.#######......#.##.######.#...#######.#..#########.##.#..#....#.##.#.#.##.#.......##.##.#.####.###.....#.##.##.#.###.##.#.##.#.###.##..###.#...........#..#.#.######..#.##..##.#...#..##.##....##...#..###.##....#...##..#..#..#.#....##..#.#.##.....#.##.##.##..###.##..#####.#..........#.##..#.#..##...####..#....#.#.#.######.##
#.#.#####......#########...##...###########...##.....####....##.....##.##.#.#...##.############...###.######.##.###########.#.###.#########.#.#.....#....#.#........###...###.....##..################...##.#.#.##.###.#....###.#.###...#.#....###.#.....#..##.#..##.#.########...#..######.##...##.....#..##.##...#..##.#..###.......#..#####.#.#.##.#.####.##########.#.....#####.#.#.###.###.#.....#####.###...#...#.##.##.##.######.......###..#.##.#.##.##..#####.##.##......##..........#.##.#.####.#.......####.##.#.#.....#.#.#...######....#.##.#.#....#####..###....##.#.######.#.####.##.#.#.#.#....##.###.#..#.###.##...####..##.##.##....####...#####...##.##...##..##.#....#####...##..#.##.####..##...###...######.#....##.#...##..####.##.#.####.###.##..##..#
#...#.#.######.#.#.#.##..#.##.#.##....#.#.##.#######.#.#########.##.#####.#.###.#..#.#.#.###.####.#.#.####...#...#.#.#.#.##.......#.##..#...#.#####.#.####.#######.##.#.#...#####..##.#.#.##.####.##.###.#.........#.#.###.##...#..#..#######.#######.#####.##...##..#.#........#...##.........#..#####.#.##..####...##..###########.######....#.#............#.#...##..##.##.#..........##.##..####.####....####.###.#.#####.##..#...#######.#.######.......##.##...#.#..##################.##..#.#..##....##.#.################.#.#.##.##.##.####...##.#.###.###.###.######.#....####.######....#.#.#.#.####.....##.##....##.####..##..##......####.##.#.###..#..####.####.######.#.#####.#..#####...#..##.#.#####.#.###......###.#####.#.#####....#.#.....######...##.##.##
###.....##...###.#.#.#..##.#..#.#####.........##..............#######.#.#.......##.....#.#.#..###.....#....#.#.#.....#......##.##.#..##.###....####....#.#.#.#.###.##.#######.....##..#.#.......#.##.#...#########.#.#.###.####.##.##..#.#.#..#..#######..######.###.###.#.#.##.##.##############..##.#......##.####.##.##.##...#....#......##...##.#########.....#.#..######.#########.##..###..#.#.#..##.#..#.#.#.#...#......##.###.###.......###.#######.##..#..######.....##.#.##.#......###.#.#.####.#.##.####.#.##.###.##.#.#......##.#..##.#.####...###.#.#.#.###...#....####.#..##.#.####.#.......##.##.####...##.###.....##..##..##.#######........###.#.####...##....##.....#.#.#.##.#.#.##.##.##..#..##.#.#.##..####.###..###..#..##...####.#.##.##.##.#.###......#
#.#.#.#..###.##........######.###.##..##.##.###########.##.##.#...........###.#.######.#.#.##.....#.#...####.#.#####...#.#.######...##....###.##..###.##.#.#.#.#.#.##.##.##.#####..##.#.#####.#...#..###.###.......#.#.#......#..#..##.....#####.#.#.#.##..##.....####...#####..#..#.##.###.###.##....######.##.........##.####.##########.#####.######.......###.####.##.#....#.###.#...##.#.##.#.####.#####...#...###.######.....#....####.##.#............##.#.##.##.#####......##.######.....#......#########.#.......#.......#####.##..##.##.#..#.##.##...#.#...##..#...##..#.#.##........#..#####.####..#.#..###.##..###.######..##..#...#.#.########..##......##.##..#########.#.#.#.##.#.#.#...#.###...##......###.#.####.####.##...#####.#.##...##...........##.##.##
#...####..#...###.###.###.#.#.##...########..#.#.##.#...#####.######.##.#.##..#..##....#...#####.###############.....#.#.#.#.#....#..#.##.##..###.....##.#.#.#.#...##....##.##.###.##...#.#######.##.#.#.#.#######.#.#.##.#.#.##.#.##..#####.##.........##..#######.####.#.....#####..........#.##.######.....#######.###...##...###..#.####.#.#.#.#..##.######...##........##.......##.##..........##.....####.###.##..##.#######.####.#.#####...##.#.#.#.#....#..#.#........####.#...#.###.#.#.###.#####.##.##..#######.#######..#....###.........##.##..#.#...###.#..#######.##.#..########.##.#####..#.##.#.#.##.#.##.##.#..#.#.##.#..##.###.#..#...#.#.####.#####...##.##..##.##.#...#.##...#...###.#.#.###..####..##.#.#.##.###.....#..##......##.####.#####.##.##..####
#.#..#.##...#..####...#.#.#.######.#.##.#.#.##.#.#..#####.#...#....###..########.#..##...#...#####.........#..######.#.#.###...#.###.###...##...#.#.#....#.#...#.######.##..........#.#......#..............#.#........######.#.....##.#.##..####.#.##.####...###.#.#..#####.###.#...##.##.##........##.####.##.#.##....###.##.###.##.....#..........#########..#..##.#.#########.##.#.....##.#.#.#..##.####.#...##.#..##.....##........#.#.#...###############...##.#.#.#.####....###...#.#####.#.#..#.#..#..###.##...........###.####.....#.#####.##.##.##.###.##..####.###......#.##.#.##.#........#.##..#.#.#.#.......##...##...##.##.#..###.##.###......#.#.#..###.##...#.##..##.#.###..#.#.##.###.......#####.##.##..#....#.#.##.#.#########.#......######.######..###.#
######.#######..##..###......##..............#.#.##.#..##.###.####.########.###....#########....##########.##..##....#.#.##########...##.####.########.#...###.#..#.#...##########.#########.##.######.####...###.####.#..###.####.###.#.#..##..######.#..###.#.......###.#####....#.#..#...######.####.#.#........###.##.#.##..#...##.##...#.#.####.##.#......###.#########.##.###..###.###########..#..##..###....##.####.###..##.#.#.....##.##..######.#.#####..#.##########.##.....#....#.##.#.#.##.##.##.#.#..#########.#..........##.####..##.##..#.####.#.###.#.#....#####.##.##.#.#....######.#..##.....#.##.##.#..##.#####..#.##...##...##...###.#.##...#.##.#.###.##....##........####.#....##.##.#..#.#..#...##...##...#.##.###.##.##...#.#.##...#.....#.##..##...#
##.#.#.#.#...##....########.#########.#.####...#.#....##......##.#.#.####.......#.#####.#.#####.#.#...#.#..#..######.###.#...#......#.....##...#.#.#.####.##.....##...###.##.#.#.#.#.##.#..#....##.....#....#.....#..#.#.##..............##.##.#####...#.##...#######.##..#.#.####.###.######.......##....########.#........###...###############....#..########.#.#.#.#.........###.######....#.#.##...####..#####.#...#....###########.##..#####.#.#.#..........##..##..#...#############........#.##.##.#..#.##.##...#....###.####.#.########.....##.#..##..#.#.#.#.####.#.#.#.#..##.#.########....#.#####.###.##.##.#.###..##.##.#..##.#####..###..####.####.#..#.#..##.##.####..#.####.#.#..#.###########...##.##.###.#####.##.##..##..#.###.###########.#####..##..###.#
#..........#....#.##...##...##.##...#####....#.#.####.#######.##.....#..##############.....#..#.#.###...##.##.#.#.##########.######.##.##.####.#.#.....##..###.#....#.#...##...#.....##.##.###########.#.##.##.#####......####.#.######.##...#..#.#..#.#.####....###...##......#########......#.##.######....###.#.##.#.#.#..####....##......#....##.##.#.#............####.##.#........#.####.#....#.#######.#.#.#.###.####.#.##.##########.##.#......#####.####..##..##.###..##.###.##....######......##.##.#.#..####...##.##..#....###.#.#.###.##.#..#.##..##.....#.###....#.....##....#........##.#.#.#...##...######.#.#.###.#..#.##....##..##.##.#.#...##..#.##.#.##..##.##.#.#####.###.##...#.##.#.#####.##..#..##...##.####.###.##.##..#..#.#.#.......##..##.###.#.#.#
##.#.#.#.####.#.#.#..#....#.......#..#.#######.........###.##....###.##.##...#.#.#.##..###.##.#....#..#..#.#...........##.#...##..######..#..#...####.##..#########.###.#..###.####.##.....#.###....####.#..####.#.#####.##....###...#...###.##.#.#.##.#..######.#.##.########.#.##..########.#.#...#.#.##.###.#.#.########.##.#..########.#...#####.#..#.#.#.##.#####.######..###.#.##.#.#.##.####.#.##.####.#.....#...####...##.#.#.#......##.#####.###.#######.##..###..###.........##.#.#......###.##.......##.#.#..####..##.#.#.###......#...#..##.#....##..###.#.....##.###.#######.###.######......###..###.##..#....#.##..##.#.##.######.##.#..#.###..##.#.#.....##.##.##.#...#.#.##..##.#....#.#.#.#.#..##.#.####.##...#....##.....##.##.......#.######.##..#.#.#.#.#
##########....###.#.#########.######...........#.##.##.....####.###........#..........##........##...###.....#.#.#.#.#......#..##.##.####.##.#.###.#.....###.##.......####......##...#####...#.####.#.#####..###.#.####...####.##..#...###........###....##.#......##..##....#....#.##.#.####.#.###.#..........#.#.#..##.#...#.##...##...#######...#.##.#.#####..#..........####.######.#.#.##....#.#.##..##..#####...#......#.##.#.....##.#.......#..#.....#.....###.#.##.....######.#####.##.#######.#######.##....#####...#########.###.##.######......#.###.##.....#.#.#..#.#...##......#.##.###.##.###.#.##....##.##.#....##....#.#.....##...#.##....##.##......#.#.#..##.##.#.###.#.###.####.####.#.#.#.#.##..#..##.....###.#.####.#####.##.#########..##..#..##...#.#.#
#.##..#.################.#.#######.##.####.##.##.#..######...#..#...##.######.###.#.#..#######.####.###..##.##.#.#.#.#.#.##.##....#..........#.#.#.#####...#..#####.####.##.###.###.###.#..#....##.....#######........##.##.##.###.###..#######.#..#..##.##.###.##..##.#####.##.#.............#####.#####.####.#.#.#.##..#.#.#.##.######..#.######.#.......#.#..#########.#####..##.#.......#####.....##.####..####.##########....####.#####.#####.##.#####.#####.....#..##.#####.......########.##.....#..#.#..##.#####.######.##......#####.##.#.####.#####.########.#.####...#.#########.###......#...##.#.#####.##..###.########.....##.#####.#..###.##..####.#########.##.##.#..##....##..##..#.##.#.#.#.#.###...##..#####.#.####.#.###...##.#.########..##.##.####.....#
#..##....#.###...#.#.#................#....#...####.#...####.##.#########..##.#####.##.#.......#.#..#...##...###.#.#.########..##.#.#.###.##.....#.##.#..###.##.##..##......#.....#.#.....#####.#####.##.#.#.########.......####.######...##.##.##...##..##.#######....#.....####################...###.###..........#..####.#.#...##.###......##....##.##.....###....#.#.#.#.##....#######.#.#.#####.##..#.##....####.#...##..##..#.####.######.......###..###.#####.#.#####.....####.##..#.##...#####.##.#.##.##.#.#...#.##....######.#.#...##.#.####.###....#.#.....###..###.#...##.#.....###########.......#.##.##.##.....#.#.#..##.#####.......##.#.###..##...#.###..#.#...#.##..##.#####..##...##...#.#.#..#..#..##..#.#.....##......###.##.#.....#.#..###.....#.##.####
##..####.#...###.#.....#.##.#.##.##.#########.##..#####.#.##..#######.#.#.##..#.....####.##.####.#####.##..#.##..###.#####..####....###...#..#.#...##.##.###..#..##.#####.####.##...#.#####.###.#......#.#...#.....####.##.##.##..#..####.#...#.########.#....##.#####.#####.#.#.#.#.###.....#....#......#..#.######.#.##.#..#.###.##..#..####.#..#.########.###...##..........#.##.#.##.#...............##..##.#........#.#..####...##.#..##..###.###.#.#.##.#.##..#....#..#####.#.....##.#.####.....#....#.##.#....###....###.##........##.##...........####.#.#####.####.#.....####.##.##.#.#..###.#..####.##.#..##..####.##.#.##.#....######.##..#...#.##....###.#.##...##.##....##.....##.##..#####.##.#.##...#######.#...#.######.####.#......#####.#.##.#.#####.##....#
###...##.###.##....#.#.###..#.########.##......##.##.##.#.#..##...........#..###.#.##.#######.....##....##.#..########.#...##.#####..#######.#.#.#.....#.#.##.##.#..#.######.######.###..##...#.######.#.###.#####......##.....##.##.#......#####.###......##.#..#.#...#.##..#.#.#.......###.#.##.##.###...##.#..##.....#.##.#.##...##.#####.....#####.#.##....##.##..#.##.#.#.####.#.#....#.##.#.##.##.####.##.##.#####.######.#..#..#.##.###.....#..........#..##.#.#.##.##...#####.#......#..#####.##.#........####.####......########.##.###.##.#.#.#...##....#.####.#..####.##..#..###......##.....###......##..#.#####.##.#.#####.###.##.#####.###...##.##.###....###.##..##.###..#####..##.###.#..##.#..###.#.#..##.#.#######.#..##.#.#.##.#.........##....#.##..#.####
#.###.#...#.....##.#.#.##..####....#......#.#.##........#.##.########.#.#...##.###.#...##..###.##..##.#..######.##.##....#..........##.......#.#.#.###...#.##.#..##.#.#.##....#.#.....##.####.#.##.##.....##.###.###.####..###.#..##.######..#.#....##.###..####.#.###....##.....#########...######...###.##..##....#.#...#..#.###.##...##.#####..##........#######..#########..#.#.....#.#####.#.####...##..##..#####.#.##.##....###....#...#####.#.#.######...###.###.#..##.####.##.##.###...##.##.....########.###.....##.#.#....###.#.....##.#..#####.####.####..###.##.#.##..##.##...######..##.#.##...##.#####.#.##..#.##...#.##......##..##.....#.###..#..#.##.####..##.##....##..##.##..#.#.#.##.##.##.#...#...###.#..#.##.#.##.##.#.#.#########.#.#####.##.##.##..#.#
#.......#...#.#.##.#.#####..######.######.###..########....#.#.#.##...####.###.....###..#.##.#..##....######....#..###.#######.#.#.#################...#...##.#.##..#.#..####...####.##...##....##..#####.##.#.....#####..##...##.#..#..#...##.####..######..##..#.##..##.######..##.....###..##.###.##.####.####.#.###.#.##.#.#....##.##..#.##..#######.#.##.....#####...#.###.....#.#.#.##....#.#.####....##..##.......##..######.####.###.#.#.#######......#..#..##....###.##......####...#....#####.####........#####.##.######.#.#.#####.########.#...##..#.###.#...##...##.##...##.##......#######..####...##.....##....###.#.##.#.##.###..#####.#.#######...#.....##....###.###..##...##...#.#..#.##.##.###.#.###.#.#.##.#..#.##.##...#.#.#.#########.........#.#..##.#
###.##.###.##.##########.####......#.###########.##.....##..........#.#....#...##.##.##.#.#....####.#.##...####.#.##.####......######.###...#.#.#.###.##.#..#.#.#..##.#.##.####.##....##.######.###.#..#...#.####.###..#######.#..##.##.###.##...##.##......####.#.#..##..#.#####.###.####.##.....####...#.####...#.#...#......##.###..###...##.##....#..#..####.##.#.###.......#####.#####..######......#.#######.#.#.#..##.#..##.....#...#.#.#.##.#.#######.##.##..###.##.#.#####.###.#########.#.######.##.#.#.###.#....####...........#.....#.#......#..##.#.#.#.###..###.....###.##..######.#..#.##.##....#..#.#.#####.#####......######.##.#.#.....#.#.#.###.#.########.##....###..###.#..#.#.#.##.##.##.#.#.#.###.#....#.#.##.##....###...........####.#.##.###.#.###.#
#...#..#.#..#####.#.##.#.##.######...#...##.###..######.##.#.##.#.###.###.######..##........#.##....#.####..............####.#.#..........#........##.#..##.#.#.##.#........##..#####....#.#.#...##.##...#...#..#.#.##..##.#.....##...#.#.#.####....#######..#.#.#.##.###......##.#.#..##...#####..#####...##.########.####.##......##.#.###..#######...##.##.........#.##.##.#.#.....#..#####.#.######.##..#.#..########..#.#.###.###.###.#.#.........##.###.##..#.##.#.##.#.#.#.####......#..........#...#..#.#..#..##.#.###..#.#######.###.#.#.######.##.##.#.#.#.##..##...#.#..##.#..##.#......##..######.#######.##..#.###...####..#..##.#..#.#####...#.#.##.......#.##...##.#..##.##.....####.#.##.#.........#.#.#...#.##...##.##.##.....#.#########.######...##...##..#
##.###.#...###...............#.#...#.###.##.#.##.#.......###.##.#######.###.###########.#.#.#..####.###.###.###.#.#.#.#......#.#.##.##.##########.######.#.........########..##.#.####.#...#.###.##.########.##........###.#####....#.....#...#####...##....##.#...####.######........#####..##.#.##.#.#.###....##.#.##########.#.#..#.#.#.##.##.##...###############.#.##########.#.###.........#.##.#####.#.##.##.#.#.##.#.#.#.###.#.##......#.#####....#.#####........##.#.#.#.##.######.##########.###.#######...#####.#.#######..###..####.#..###...#..##.....#....##..#.####.#..##.##.#.##.#####.###.##.#.#.##...##...#.#.######.##.###.##...#.#####.....##.##.####..###..####.#..###.##.#.##.#.##.#####.###.#.#.#.######.####....###.#.#####.#.#.#...##.####.#..###..##
####.###.#.#...#.#.#.#.#.###.....#.#.............####.#.##...##.#....##.###.............#.#.####....##....####..#.#.####.##.####.#..#..####.........##.#####.#.###..##.#.###....#.#.######...#........####...##.####.#...........#.######.###.#.##..#######.#..###.#.#......########.##.#.##......##.#.#...####..#.#..#.#.##.#######...#.#.#..#..#######..##...#.##.#.#.#.##.....#############.#..............##.##.#.#......#.#.##.......#.#.###########...##.###.#.###.##.#...#.#..#...#..........##.....###.#.###.#.##..#.#.#.#.##.#.##..##..#.##.######.######.####..####.#..#.##.......####...##..#.#........####....###.###......##.##...#.#.#.#...#.########.....##...##..#.#...##.###.....#.#.##..##.####..#.....##.##.....####...#.#..###........###...#.#.#.##.##..#
#........#####.############..#####.##.##.###.###......#.#..#.##.####.#..#.##.###.#.#.#.####.#....##..##.#......##.########..#.####.###.#..###.###.#....#.....#####.##..#..#####.....#.#..###.#.#.###.##..###..#.####.##.#.#############...#.#...###..##...#.#.##.#.#.######..###.##...#.#.#######.#......#...###...##............#...#.....##...##.......#####...#....#....#####.##.#.#.#.##.#.##.#.#.####.##.......#.###.##.....########.#.###.#.....#.###.##.#.######..#..#.#...##.###.##########.######.#.#.#..##.#..##.#.#.#.#....#.##.####...##.####...#......#####.#.#####...###.####.##...###..##.######.###.##.#.##.....###.##.#.....#####.#.###......#...##.#######.##.##.##.##....####.##....##.......##.#.###.#...##.####....#####.##.#.####.###.###.#.#.#..#.##.##
#.######.##.#########.#.#.########.##.####.###...#.#.##############..##...####.#.#.###.##...##.#.#..##..##.######.###.#.#..##..######..##..####...####.#.###.##.....##.#.##.....##.##.#.##.#.#####...###.#...####..########..#.#..#.#.###.#.###.#.##.####.....##.....###.##.##.#.####........##.#.####.#####.....#....#.######.#...#######.##.########.#.#.#.###...##.###.###.#..............#############..##.#.##.......##.#.#......########....###.#.##..........#.##...#####.##..###..#..........#.#.........##....##..#...#.####.......#.###..#.#..###.###.##.#...#....######.#.###....####...##......#....##...###..#.#####.####.#.###.##.#......###.####.###...#..##.....##.##..##.###.......########.#####...#####.###...#.###.##...#......#######....#.#.#...##.....#
###.##.#.#..#.##.#.#........#......##.#....#######.###.#.#....###.##..###.#.#..#.#.#...#..#########..#.#####......#.......####.#.##.######.#.######.#....##..##.##.##..#.######.#...#.#.#..#.##.####.#.#.###.#.#..####...###...##.#.#.#.....#.#.#.#..#..###.#..####.##.......#.#.#....#.#.##.#..........##...###.#.##.#.####.#######..........#####.####.#.#.####.##..#.#.#.#.###.######.###..##.#.#.#.....##..#..##.#######.#.#.####....#.#...#.##......##.#.#####...####.#.##.....##.##.######.#.#...#.##.####.#####..##.###.#.#.#######.##.#.##...##.#.#.#####..###.#.####.#..#.#.######.#.###.########.###.####.###..##...#.#.##......#####.####.###....###.#.##.##.#######.#...##.#..#.##.#.####.##.#.#.#.##..#.#..##.##..#....##..#.####.#.###..##.####.#.#.###.#..#.#.#
##..##.####......#.########.####.#..####.#...##..#####.#.####.#.#.###.......##.###.#.#.####...#.#.##########.#.#.########.#..#.#.#......#....#........#.####..####.###.#.#.#.######.#.#.##.........#.#.#.##..#.##..#.###.#.###........#####.#.#.#.##.#.####.##.........###.#...#.######.###..#####.#.#.#####.#...########.....#.#.###.#.##.##...##..#.#......#.######...#.....#.####...#...##..........#.#.###.#.###.#...#.#.#####.#####.#...#.#######.###..#.#.....#..##..#.#####.##.....#.#..#.#####.###..#.....#.###.##..##.#.#.........##....###....#.......##.....#..#.#.##.#.#.#.#...........#.####..#.....##.##..##..###...######.##.##..##.#..####.##.#.#.##.....#.##...##.##..##...####...#..##...#.#....##...##.....#######..##...######...##..#.#..#.#.#.#...######
#..##...##..##.#......###....######.##.#.###.##.##.....#..#.#......######.#.#..###.#.########......#.##.##.##########..##.##.....######...##...####.#.######.##....#.#.#.#.#.#.#.#.........#.#.###........##.#.###.#.#.........#.#.##.#.................#.######.##.#.######.#...#.##...####.#.....######.#..###..##.#.#..#.#.#.#..#########..#####.#.######.#.#.#..###...###....#.###.########.##.##.######.#.###.#####.#.####.#...####.#######..##.......###########..##...#.#...######.#.#.#####....##########.#.#.#.##.###.#.#######.#######...####.##.###########.#.##.#.#..#.#.#.####.######.#....##.###.###..###.###...###.#.#.##.##..##.#....##....##.#.#.##.#####.####.##.###.##.###.#..###.###.#.#...#######.#..########..##....###.#.#..###..##.##.#.#.#...#...#.##
##.####..############.#.###.##..######.#.#...##.######.##.#.######.#.#.####...##.#####....#.######...##.#..##.#.#.#.##.....###.#.#.#.#..########....#.#####..###.#.................##.###.######.##.#.#.#....#.#.#...####.##.#.######.#####.#.#.#.##.##...##..#####.#.#......###.#..#####.#....#.#.##.##..#####..##....######.....##.#.#..###..##................##..#..########........##..##..##.####.#.##.#####.##.......##..###.#.....#....##.#..#.###.#.#.#.###.#.#####.....#............#.#.####.#.###.............#.##.....#.#....#.##..###.#...........##.#......##.#.##.....#..#.#.#..#...####........#.##..##.#...#..##......#.##.##..####.#####.##...#.#...#.#..#.#..##.#...#......##.......#.#...#####...#.#.##.##.#.#.###.####.#.#.#.##.#.##.....#.#.##.######..#
#...##..##.#..#.#####.#.#.#.###..####..#####.....##.#.....#.#..###.#....####.##...#.#####....##.####.##.##..........####.###...#.......###.##....##.###.##..##...####.##.###.#.#.#.##.##..##..#.....#####.##...#.##.##..#########.#.#.#.....#.#.#########.###.#.#.#########.##.#.#.##.##....#.##.###...##..###..######.#.####.#.#..#.#.#.##...######.#.#########..##.######.#.##.##.###.#..##..#####.##............######.#.###.......###.###.##..##########...........#.#.########.#.#.####.##.#.#......#.###.#########.#..#####.#.####.#.#..##.#.#.##.##.#####..###.##.##....#####.##.#.####.###.#..########...##.###.###.##..##.#.#...#...##.##.#..##.#..###.#...#.....##.##.#..###.#.######..#.############..###......#......#.#.#..###.............#####.#.#....#.##...##
###..#.##..##.............#..###..#.#.##########.#....###.#.##.#...#.##....#.###.##...##..##....#.....#..###.#.#.##...###########.#######...##########.....#####.###..#..##..#.#.###..##.####...#.####.#####.#.......##..#.##.##..#.#.#####.#######.........#.#.#.##.##.#.###......#...##.############..##.#.####.#.......#.######.#......###.#.#.#######.#.##.##....#.##.........###.....##..##.#...####.##.#####.#......#...##.###.####..#..##.##.##...#############.....#.####.#.#####.......#.######.....#.#.........#.##.#.#.#.##...#.##..#.#.#######..##.#.##.#.######.###..#........##..#.#.#.##.####.##.##..#.#..##..#######.#.#.#.###..#..#.###...##.....#####.#.#..##.##..##.....#####.####.###.##..##.#...##.###.######.#.#.##...#.###########...#.#.#.####....#..#
####....##.####.#.##.####.#.##...##.#.##.#.####....#.##.....#..###.#######....#...##.##..####.#.#.###.#.############.##.#...###.####.##.###...#.##.##..###.#..####...###..####.#.#...#####....#.###......#.####.###.####.#.#...##...#....######.....#####.#..........##...##..####.###....##...........##....###....#####....#.##....#.##............###..........##.#.####.##.#.########.#..###.#.#..#.#.##.##......###.##.#.####.###..##.#.##...#..###.#.##.####.##..#.#............#####.###...#.########.###########.#.#..#.....#..#....##.#....#.##...##..#........#.#...###.######.#####................#..##.#.##.###..##...#####.#...##.##.#...###.#..##.###.#######.##.##.###.###.#..##.##.#..#..###....######.......##.#.#.#.#..###..#.##.....###...#.#......#######
#.####.###..#.#.######.......###......#..#.#....##.###..###.##.#.#.##.#.#####.###.##..##...####.###.#.#..#.##.#.##...##.###.#...##..........#.........##...##......#...##.##...#.##.###.################....#.####..##.....###.####...##..###.####.###....##.#.#.#.#..###.#..##........#.##..#########.#####...#############.#..##.#.########.#.###.##.####.#######....#..####.#.##.........##.....##......#.####.########..#.#.#..#...##.....###.#.##.#.#.#..#.....##.####.#.##.##.###.#####.#.#.............##.....#.#.#.##.#####.#######....#.##.#.#..#..##.######.###.###..#....##....#..########.#.#.#.#.##.#....##..###..##.##..#..#.###.......###.#.##.#..#.....#.##........##...####.##...#.##.#.##.####.#..##..########...#.#.#.#######....#####.###.#...#.#.##...#.#
#.#.#..#.##.#.#####.########...######.##.#.##.#########.##.....#....#...#.#...##..##.#######.#...#....##.#.#..#.####.##..##.##.##..##.#########.###.#.#..#.##.#.##.##################...#.##.##...#..#.####....##..#######..........#.###...#....###...##.##.#.#.####..#..######.#.#.#.#..##.#......##.#.#.###..#.###...#.##.#.#########......###......#.##.####.#####.#.##..###..###.##.##..#.###..##.##.####....###...#####...##.###..##.#.##.#.#..#.#.#.##.#####.#################.....###.#####.###.#####..#####..........#.#.#.###...###.####..#.#####..#.##.#....##...##.####.#####...##.#..#.#########.##.##.#####.#.#.###..##.##.#.#.#######..##.#..####...#####.#####.##.##..###.#...#.###.##...##.##...#.##..#####.#.##.##.#.#....##.#.####..##.#.#...##########.#.#
#.#.##.#.##...###.#.......##.#.#.###..##......#......####..###...##.###.....#..##..#..##..#..###.####....#.##.#.#..#.#..##......#########.##.#####..#.#.##..###.#..#...###.####.##..###.#.#...###.##.....#####..##.########.#.#.#######.###.####.##..#.#..############.##..##.#..#.#.#.#.#####.##.#..........##.#...#.#...#.....#.#.#..##.###...##.###.#..#.#.............##...####.###..#..####...##..####.#..####.###.#.#####.#....##.##.#.#..#.##..........#.##....##.#.#.#....#######...#.##.#########..##..##.####.##.##.......#.###.#...#.###.#.###.##.#.#....##....###....#...##...###..##.#..###.#...........##.#.....#.##..#.##.......##....###.#.###.##.##.#.#..##.###..##.##.....###.#....##.###.####.#.###.....#.#.##........####..#...##.##....###.#.##.#.##..#.#
#...#.....##.##.....#.#.#....#...#.##.##############..##..##...####...##.#.###..##.##..##.##..##.##...##........##.#.##.#..####..##.###............####..####...######..#........#.##...#.###.##.....#.#..#.##.##...##....###.####.##....#..#.#..#####.#.##.#.#....#....##....####.#.#.############.######.#....#.#######...###...#.#.#######.######.....##.#.###.#.###.#....####.#..#..###....###..####......###.........#..#....##.....###.##.#.###.###.#.#......##......#.#.####.#..####.#.##...#...#.##.###....#######.##.#####...###.###.#.#.#..........#.##.#..##.#...####.#.#.####...##..#.##..#..#####.#.###..#.####.##.###....####.#######.###....##...#.#....##.##..##.##...##.####.#.#.##.#...#..#.##.#..##.#####...##.########.##.##.###...##.###........#..##.#.#
#.#...##.##...##.#.#############.......##.##.#.#.#.##.########.##...#.#########.......###.##.##..#######.##.###...........###.#.##..#.######.####.##....##....#.###.###.##.#.#.#...##.#........####.#####.........#####.########.#..####.##.#.##.#.#####.#....####.###.######.########.#####.##.##..#...#####.#...#.##.####.#####...#.##....###########.#######.############...#..##.####...####.###########.##.#########.##.###.#######..#.....#.#.###.#####.####.###.#.#......##....##.#..#..###.#.#.......#####.....#.########...#.....#.....#.##########.#.##########.###......#..#.#.#####...###.#.##...#######.##.##.#..#...####.##...#.##.#....####..###.#.#.#.###.#..##...#.####..##..#.#..#.###...##.#..#.##...#.###.###.....#..#..#..#..##.###..#####.####...###...#
###.#.#..#..########.##.......###.##.#..........................#####.#.#.#.#.##.#.##.#.#.#..###.#.#.#.######...#####.##.##.....###.#.###....#....##.#.########.#.......#..#######..###.#.##.#......#.....#.#.#.#..#.#...##.##.#.#.##..#.#.......#.#.#######.##..#.###..#.##..#..#######.##..#...######.#.#.#####.#.##......#...###.#.#####.###.##........##.#..####...##.##.#.##....#..###.##....#.#..#...####...........#..#.###....###...###.....##...#.#####.###.#.####.#.#..#.##.##.##...##.#.######.##....######.#.##.#...#########.#####....#.#.###.#.#..##.#.#.#..#.#####.###........####.#...#.##.###..........##.##...###....####.#.#..##.###.#..##...#.#.####....#####....##..###.##...####.###.##.##.#..##.##..##.##..#.###.##.##.##.##....#.##.#.#....###.#.##.##
########.##..#######..#######...###########.#.##.##########.#.###...........#.######......#.##.#.#.#....#..#..###.....#...#####.#.#...#.####.#.#.##..#.##...#######.###...###.##...###..##########.######.###.#.#.##.#.#..#....#.#.###.....#.#.#.......##.....##.#.#.##.#..##.##...#.##...##.##.##.#.#.......#.#..#.#######.###.#.#.#..##.#.#....#.#.##.#..#.##.#.#..#..#.####.#####...##....####.#.##.###.##.###.#######...##.######.#.#####...###..###.#.#.#.#..##.#.##.#.###.#####.#...###.##.#.##.....#####...###..#.##.###..###.#.##.#.######.#...........##..#.#.##.#..#.#..#.####.#####....###...##.#.#######.####.....###.##.#..###...##.....##.##..###.#....#.##.###.####.#.##.##...####...#...##.##.#..#.##...##.##.##.##.##..##.....#.##.####.##.....##...###.##..#
#.........##..##.#.##.#.....###..........######..#........###.######.####.#.....#.##.####............##.##.#######.##.#####.##......#........###.#######..#...##.####...#.##.....#.....##...#.#######.#######.###......##...##...#.#.####.##########.###..#.#...........##.....##.##.#..#.#..##.##.#.#######.#.##....###..###.......#.##....####.#########...##.#.#.###...#.#......###.#######......##.#.#.##..#####......#..............###..###...##.....#.....##..#.#..#####..##...##.##...##...##.#####.#.###...##.#.#...###.#.#...##.#.#.#.#....#.##.#.##.###.#.#.#....##.####.###....#.####.##..#.##....##......#.##.##.##..#####...##.#######.##....##.....####.#...##.#....#.....###..##..###.###..##.##....##.###.##.#...#.##.###.#####.##..#.#.####.##########.#..##
#.#.#.#.#....###...##...###.....#.######...##...#########.....#......#..#######.#.####.##########.##.#.....##......####........#.#.##.#.##.#...###.######.#.#......###########.####.#.#####......##.....###.####..##.#.######..#.....#.####.#.#.##.#.#.#############.##....#.#..#.#....####.##.......##......#..###.##.##.##..#####...####.##.#..##.#.######.##.#.###.###.#.##.##.##...#.#...######.##......##.#.#...####.##.##.#.##.#.#.....##...#..#####...###.###.####..##.##..###.#...###.####..####.##.#.#####.#....#.###.#.#.###............#.#####.####.#.#.#.#.####..#..##......##...##.#.#####.#####..######...####...#.##.#...###..##..#....####..###.#..##..#.####.#.#######.##.#.####.##..#.#.##..####.##...#...#.#.#####...#..##..#..##.#.#..##.....#####.#...###
###########.##.###..###########.###....###.##.###.###########.##.######..##.###...#.#...#.##....########.#..###.####.####.#.#.##.#.##.####.##.##...#.#.######.##.#..#.##.#.#...##...###.#.##.###....###......##..##..#.#......######...#.##.#........#.#.#.##.........##.#.#.##...####.#.#...####.##.#######.##.#.#.##....######.##.#..##..##.##.##.#.#.#.#..##...##......#..####..##.##.###.#.#.......#.##.##...########.#..######..#.##.#.########..#....####.......#.##.#..##.##...##.##......##.##........#.#.#.####...##......#.##.##.#.#.#######....##.....#.#....##..##.####.##.####.##.....###.....###...##.#.###.#..###..#.##.#####..##.###.###.##..##.######......#.###.####...#.#.##.#..##.#.#.##.##.#...##.##.###....#.###.##.####.#.##..#...####.####...#.###.#.#
##.#.#.#....##.#.#.##..#...###..######.....######.#...........#####.....##....###...###.#..##.###...#######.#.#####....######.##.#######...##..###.......##...##.##......#.######.#.##.......#...####...##.#....##########.##.#..##..#........#.####.#.#.#.##.##.##.###..######.#........###.##.####.#.###...#....#.#####.#.###...####..##.##....##.....#.##..##.########.##..##..##...#.##....###.##.#####.####.#.###..######.#.############.#.#####...##.#....#####.#.##.##.#..####.....##.#####...####.#.#...#.#.##...#....####.#.#..#..#.#.#####.###.#######.#.##.#####.#...##...####...#####.##.###.###.###..#...###.##..##.##..#..#.#..##.......#..##.##.....#.#.##.###.##...#.##.##....#.##.##.#...##.##.##.##..##..##.####.#......#.#.....##...###.....#.#.###.##....#
#........##.........##.##.##.####....#####.#.#......#.##.#.##.#.....#.#..##.#####.#.###.#.##...####..#.#..#.#.##..####.........#.##......#.##.##...#####..###..###..##.#......##..#.#..#.#.##########.#.##.###.##...#.#.########..####.###.#.####....#.#.#.####..#..#...###.....##.#.#.#......#.###........#...##...........#.###.##...###.#####.####.#......##..##.#......##..##.#..#.#..#.##...####.#........#.#.#.##.######......###.#.........#.###..###.#.##.#.#.#.##....##..######.##...##.###......###.#.....########.##.##.#.#.###.#.###..#....###..#.##.......##.....#####.###.###.#.#.......##...#.####.##.##.#..#.###..##.#.##.##.#######.##.##..##.#####.#.#####...###.#.##.#####.#.##.#..#.###...#.##..##..#.##....#....#.####...#####..#.....#####.#..##.###.###
#.#.##.#########.##.....#.##..######.#.....#.######.#.####.#######.#####........###.......####.#.###...##.....###..##..#.##.#.##.#########.##..##.##...##.#.#############.#.#....#####.#######..#.....#..####..##.#...#..#.....##..###.#...###..####...#...#..#####.##.##...##.##..##########.#.#.############.#..##.######.#.#.#..###.#.#.#.#.#...##.###.##..##.##.######..##.##...#####.###..#..#.##########.#.#...##.#.#....####..#..#########....#..##...#.#......#.#####....##.##.#.####.##.#...###.########.#..##.#.####.....#.############.##.#.####....######.#######.#.######..#...#.#.###.#.##.###.#....##.#..##.#.#.#.##..#.......#.#.#.#.#...##.##....##...#.#.##.##.#.#.#..#.###.#.##.#.##.#####......###.##.##.####.#######.#.#...##..##.######.##.#.##..#.#...#
#.#######.#############....##....#.#.#####.#.#...######..###.....###.#.########.#########.#.##.#.#.###..##.##.#.#.#########.####.#.#........##########.......#.#..##.###..######.##..####.##.##...#.###.###.##.######.##.#####.#..##.#########.###.###.##.##.##..##########.#..#..##................#.......####.#####.###........##...#.#.#.#.###.##########..#.#..##.....##..####..##....#..###....##.#..#.#.#.###.##...######.###...###.#......##...#####.#.##.###.#.#...###.##..#.....##..##.#.#...####.##.#..##......#.#..###.#..#.#.#.#......###.#.#####.##......#..##.....#.#.##.###.#.####..#.....##.##.#.#..##.##.#.#.#..##.#####.#...#.....#.###...#.#######...#.##.##.....##.#.#.#...##...##.#..#######.#.#.......####...#.#.#.####.##..######.#.#..#....##.#...###
####.#..#.#.....#.##.#####.#####.......###.#.###...#.##.######.#####.#....................#.#..#.#..###....##.....#.#.#.#.#####..#.#####.#.####.##...#######.#.#.##..#.##.#.......##.........######.#...#.......####...#.###.#.##.##..#.#.##....#.........##....##.#####.####.##.##############.###...#.###..#####.......#####.##..##.##...#.#.###..##...##.##.....#####.#..##...##.######.####.###.##..##............###..##.#..#.#.#..#....#.##.######..####.######.....###.#.###...###.###......#.###..#.##...###.####.....##.....##...#.######..#...........######.#.#####.###....#.#.#.#.##...######.#...###.##.##.##.#.#.#.##.....##.###.#####...#####...#.##..#.###.##..#####..#.#.#...###..###..#.##..###......##.##......#.#.....####..##..#.#.#.#.#.##.##..#.#.#...#
###..##.#...#.#....#.#.##...##.#######.#.......###.#.##.##.#.#.#.#...####.###.##.####.#.#.....##.##.#.##########.##........##.####.#.########.#..###....#........###.#....###.#.############.#.##...##.###.#.####.#..#............##.##.#..####...#######.#####.#...##........####.#.....#.#.####.##.####.#.##.########.##.#######.#...###.#...#.##..#.#.....#####.#.#.###.#####.#...##.##......#....##..##.#.######.##.##......##.####.#.##.######.#####.#.####.#....###.....#.#.#.#.#....####.##.######...#..#.#...#....##.#######....#....##.###.#.#.#######.##.....#..##.#.#.####.....#.#..#.###.##.....####..##.##.#....#.#.#####.#######.##..#.###..#..###..##.#.#.#.###.#.#...##.#.###...##.#.##.#..#.##.##.##.##...#####.##.#.#.###.#..####.........#.##..##.#.####.##
#...##..##########........###..#.##......##.##.......##.##...#.#.###.#.####.######.#########.###.##.#..#..........####.###.#...##....#...###....##...##...#.###.##...############.##..............######...###..#.##.####.#.###.#.....#.#.##....#.##.......##.#.###..###.####.#....#####.......#...###.#.......#..#.....#....##......###.....#.#.#..########.#.......#.#...##.##...#..#.#######.####..#.#####.####......#######.##.##.....#####.##.....##....##....#.####.#.#.....########.#.####..##.....#...##.###.####.#..#.#.#...#.####.###.#.....###.#####..##.##.#.##....#.##.#####...##.###....####.##..##..#.#..#.####....##.#.#.##..#..##.#...##.##...##.#..#.#.#..##.#...#.##.#.#.##.###....#.#.##.##.#...#.##.#.############..#..##.#.#..######.##.##.#####..#.#..#
###.#..###.###..####.####...##.#.##.####..##########.#...###.....#...#.#.#...##.##.#.##.............##.#########.##.######.##.######.##.##.####..#####..#####....###.#.#.##.......########.#.#######.##########......##...###...#.###......###.##.#..#.###.##...#...##.###########....####.#.#...#..#....#.#.#.##.#####.####.#######.....#####.#.##.#.#.##...#######.#.###.......####.#..##.......###.#..#.####..##.###.#.#.###.....#####.#......####.######.####.####..#.#.##.##.##.#.#.#.#.#.######.##.###.##..##..##...##.#.....#.###.....#..###.#.#.........###.##...#####...##.##..###.....####.##.#...##..##.#.##.#.#..##.####.#....##.##......###..#..####.##.#.....##..#####.##.#........#.#.##...##.##...##########....#.##..##...###.#.#.#########.....#.##..##.#.##
#.#.##.##...#..##.####....#......#####.#.##............#...#.###.###.......#.##......##############.#...##..#.......#.#........##.#..##.#...#...##..######.#..##.#........#######...#..###########.#.#.#.##..##.#.#.####.######.###...####.#.####.#######.....#.##.##...#....##.###.#......########...#.##.#.#...............#.#.#.##.#.###.#.....#.#.#..###.....##.....###########.....######.##.......##...#..######....#.#.#####.#.#.###.#.##.......##.##..#.#######...###..#.............#..###.###...##.###..##########.#######.#######.##..##############.#.###..#....####.#...#.##.#.###..##.......#####.#..#.#....#.##..##...#.####...#.#.##...##.##.##.#.##...#.#####..###.....###.##.###.###..#..#..###...##.##.#..#.##....###.####............####.####..#.##..#..#
#.#.##.####.##.........#########.#.#...#################.######....######.##..####.#...##.##........##.####.##.####.#.#######.##..##.##.###.###.#..##........##....#.#.#.##..#....#.##.#.##............#..##.##############.###.#####.##......#.#####.#.#######.#..####.####.##.#.######.#.##..##.##.###################.#.#.......######...#.#.#...#.#.########..#####..#.##.......#.#...##.##########.####.##....#.####.#.#.......#.#..##.#####.#.##....###....#.#.##.#..##.###.#.########...##....######..#...#####.#.....##......#...#.#.#..##.#.#.###......#..######.###.#..###.#.#..###...#########.#.#.#...##.##.###.###..###.#.##...###.####.#.##....##.#....#.#####.##.#.#.###.##..####....##.###...##.#.###...#.#.#####.####.#..#.#.##.#.#######.##....##....##...##
#...##....#..##############......#.###.###.#..#.#.#..##...#.#...##.#.#.#...##...######.#.....##.#.#.....##...#.#.......##.....#..##.....#.......##..######.#..##.#.#.#.#.###.##.#.#..#....###.##.#####.##.##.#.#.#.#.##.##......#.....######.##..##.#...#.#####.##.#.#..#.#..##.#.###....#####.......##..###.............#.#####.#...#.####...###.#...#.#...#####..#####....##.#.#.######.....#.###......##..#####.#........#.#####...#.##..###.#########.....##........##..###.#.#.#.....##.###..##.#.##.#####.##.....###.######.#.####.#.#.##........#.######...##.##.....#.##...#...##.####.###.#........#.###..#.##.#...#.#.##.#.#..###..######..######.##..#.#.######.#..#.#.###......##.#####..###.###.##...#.##.##.#.#.##...#.#.##......###.....#.#..##.###..#####.####
##.######.#.##...##.####....####.#.#.#.#.#.##.#.#.##.####...#####......#####..#...#.#....##.###########.####.#######.########...#######.######.###.###.#.###.#######.###........####.##.#..##.#####....##.##.#.#.#.#.#.....####.###.#.#.........###...#............#.##.#.##..#.#.#.#######..#####.#.###.#.#############.#.#.....###...#....#.##..#.#...###.....##....##.##....#.#####.##.###.#...#.##.#..##.#.....########.###...###.#.##.##....#.#......#.#.#..####.########....#.#.#.#......##..###.##.#.#.#####.##...####.....###......#.##.##.###..........#.......###.#..###.###..#.#.##.#.#.#####.##...#.##.#.##.#.###.#.##...#.##.#.##.##.##....##...##.#.######.#.##.#.#.########.##..##.##..##.##...###..............##.##.#.##.########.#####.#.##......###.#.....#
#...#.#...#.####.......###.####..........#.#..#...##..####.###.#..####.###.######.....##.####...........#.#...##.#.#.#.#......###.##.#..#.##...#.#.##..#.##..#.#.....####.#.#####.......##..###.#.####....##.#.#.#...#########..#######.#.##.##.#.###########.#.##.........##........#.##.##.......#.#......##.##........#####.#####.#...#.##.#..##.#.#..##.#.#..###.##..###.#.#.##.#...#.#.#####...#..##....###.#..........###.####..#.########.#...####.######.##...#...##.################.##..###..##.....###.######.##.#########.##.#......#...###.#.#.##.###.######...#.##.#...##.#.#.#..#.#.##.....###.............##.....###...#..#.##.##.#..######.##......##.#.#..#.#.#.#...#.......###..##..#.##.#####.#####.#.#.#.###.#..#.#..#..###.#####...#..##.#####.#.##.####
###...###.#.#.########..####....########.#.##.###.##.##.#..##..##.##...#.#..##.###.##.####.#########.##.#.##.##........###.##..##.#..##....###......##.#.#####.####.##.#######..##.#.##..##..#.....#...##.##.#.#.##.###.##...#.##...##..#######.#..###.####.#.#.########.#####.#.#.#.........##.#.##.######.#.....####.#####...##....#.#.#.#..##.#######.#######......####.#######..###.#.#..##.##########.#...########.###.#.#.##.##.#...#.#......#####..#....##########........#.#.#.#.#....###.##..#######.#.#.##..................#####.##.##.###.##############....###....#.##.##....#.##.#....#############.#.###.####.#.#######.##.#..#.#..##.#.#.##..##.######.#.##.#.#...###.##.##.###.#.##..##.....##......##########.#.##.#.#.##.##.#..##.##.##.##.....##.#.#..##.#
#...#.....#.#.#.#.##.#.##.########.#..........#.#.....#.##.###..###..#.....##..#.######..............#....##..#######.########.##.##....##.#####.##.##.#.#.##.......#..#.#.#.#.########.####...#.#...#.#...................#...#..#####.##.##.#.#.##..........#.#.#......##.########.#.##.#.##..######........##.##....##....#.###.#.#############.##.......##...####.#.#..##..####.....#.#.##..####.##.#..#.#..##.##.###........#.#....###.##.#.#####.#######.##.##......#.#.##...#.....####..#...##.####.#.......##.#######.#.#.###.#.....#..##.##..##.#......#.####.#######......##.##...#..##.###.##..#.#.....###....#.###..##.##..##.#.##.##..#.#.#.#..##....##.#.#.#..#.###.#....###...##.#..##.#..#######.#####.#.#.#.##.#.##.#.#.........##..##..#....######.#.##..#.#
###.#.#.#..................##.##...##########...#####.#.##.#.##.##..####.#..##....##.######.#############..##.#.##.....#..#.#...#.###.#.#......####........####.##.###.........##.#.#...##.###.#####.#.##.######.#.#.#.##.#######...#.#.##.#.......#####.#.#.####...##.#..#..##.#.#..#.#..#.#..####....###.##..###############.#...#.##########.##..#####.#########.......##..##.#..#.#...#.##.##....##...#####..#.#..##########.#.####..##.######......###.......#########.######.#####..####.###..#..##..####.#######...################.###.######.#....####................####.#######.#.###..##..##.#.###########.##.##..##..##.###....#.###.#.#.#.##..##.###....#...##.##..##.###...#......###.#.###.##.....#.........##....#.#.#.##.########.#..##.##.#.##.#.#.#..##.#
#...###.#.#.#.#.##.##.#.##.....###..........###.#............##.###########.#####.....###...#....####.#.##.##.#..#####.##.#...###.#.#.########.##.######.###..######.#####.#.#....#.######.#######...#..###......#.#########....##.##.###..#####.#.#...#######.####..####.#.##....##.######.#####.####.#####..###..#.#.........#######.#.#.#.....##.##.##.#.#.##....#.#.#..#.##..########...#...####..##########.#.##.#.###.##........##.#...##..####.###.##.####...#########........#.##....#..###.#.##..##.....###.####......#.#...###.###.###........########.#.###.#.##.#.#####..##.....#..#..####.#....#.#.##......##..##..##.#..#.####.#.#.#.#.#.#..#.##....####.#.###...##.#....########.###.#.#..#...###.###.#.####.######...#...####.####.....##..####....#.#...##..#
#.#..######.#.#.#..#..#.#..#.#...##.#.#.#.#.......###.#.#.##.#.....#.#.#..#...#######.#...###.##.........#....#.####.#.#....#..##.#.#######....##..##......##..##.#.....#########.#.##.#.#.#.......#.#.##...#.##.#.##.#.##.####........###...#####.##.##..#.#.....######....###.#.#####.#####.......####.######.##.....##.##.#.#.........#.#####.##.#...#.#.#.##.##.#.#.##...###.#..###.###.##.##.###.#.##.#.#...............#######.##..##.###.####...##.#####.###.......##..#.####......##.##.....#.###.#####.##.#.#..######.....#..#..###.####.####.#####.....####..######.#.....#######.##.##..##..####...#.#######..##.##.###...##.##.............##...##.####..#.#.##..#.#..#.#.##.###.##..##.....##.####....#.########..#.###.#.###.#.....##.######...##.####.#.###..##
####.#.#....#.#.##.##.####.#####.########.#######.##..###.#....#.#...#.##...###.........###########.####.####.#.##.......##.##.......##.#.##.#..##..####.#####.#..#####..##..........#...#.##############.#.#..######.........########.#.#.#...##......##...##.##.#..#.####...###...#.#.#.#########..##............##.##################............###.#...#.#..###########.......##...........#.#......#.#.###############....###..###.#..#.#..#.##.##..#.##...########..######.####.#.###..##.##........##...##...##.#.##.##.#.###...##.....#####.###...####.##....##......###.#.....#...#.....####.##.###....##.#...###.#..##..###..########.##.#.####.###....##......####.##...#.#.......#.##..#.####.##...####..#....###.#..##.#.#.#.#.#####.....##..#.##.##.#.#.#.##..#
#..###...##.#####...####.#####...#..##.########...###.#...####.#.#.#....###..#######.#.####.##.######..............#.#.#..######.##.##....#####....##..#.#.#...##..##.##..#######.##...#....#.#.####....#.#.#####.#...#.##.##...###........###.#..#.##....#######.##.#.####.#..#..#...#.#.#.#.#...#.##..###.#.#.##########.##.##.#.#.....##.##.##.#.......###.####.##........#####.#..#########.#.######.#.#.##.####.#.#...####.#.##.#.#...##.##.#.#..###....##.##.#..##..##.#.#.......###...###########.######..###.##.#.#...#####.###.######.#.#.....#.#.##.######.#####.#.##...###.#...#...#.#..##...#.#.####.##.###.#...##.###.#.##..#.#..##.#..####.#.#.#.##########..##..##.###########.#.#..######...##.####..##.##.#.#.##..#...........#.#.#######.####..#.#.#.#.##.##
##..####.##.##.###.##.....##.###.#.##....#......###.#######....#.######.#.##.#.......#.#.......#...#..#.#.####.#.#.#.#.#.###.######.#####.#.#.###.####.....###.#..##...#.##........###.##.#........####.#####..#..##########..#.....##.#.#.#.....##.##.##.#.#.#.............##...##.#.......#.###......##...#.#.#......##........#.######################...#.#.#...######.####......##............##......#.#...........#..#.#...##.#.##.##...#.#...##.####.#..##.##..##.##.#.#############.##...####.#.#.##.##..........###.##.##.###.#.#.##...####.####.......#####.########.#...####.##.#.#.##..###.#...####.##.#.....####..##....##.#.#.######..##..#.#....#.##......####.#..#.##..#.#...#.#.##.##...####.##...###.####.#.###...###########.#..###.##..#.##.#...........#
###......####....#..#####.....#.....####.##########..#.#.###.#.#####.......#.###.#.#####.#####.###.#.######....#.#.#.######.....#...#.##......###.#.#..###.#...##.####.#..####.##.##...###########.##.#.##.###.##.#.##.#.####.#.#.####.########.##...#.#..#.#.#####.#.#.#.#..##.######.##.#...#.###.##..###.###.##.###....######.......###.#.##.##.########.#...#.#..##..####.#####.#####.#.######..######.....############.....#..........###...###.#..#..#.##.##..##....##...#..#.####.#....###........#.#..###.#.#.##.##.#..#.#........#..###..#.....#..#.#.#..........##....#######..#..#.#.###.##..###.........####.##.#..####.####.#.#..#.##..####.#...#.##..######..##....##.###...###.#.#.....###.##.#..#.###.#.#.##.#..####.##.##....##.#.##....#.##.#....##.##.#.###
#...#.##.#....##...###....#.#...###..##...........##.#.#.#.######..###.###.....#####..######.........##.....##.#.#.#.##.#.#####.###.#.#######.....#.#####..###.....#...#.##..###########.#..........#...............##...#.##.#.#.#....#....#....#.#.#.##.....#.###.#.###.#.##..#....#..#####.......##.##...##..#######.#.##.....##.##........#...........#.#.#.####..##.##.#.#.##..#..#######.....##.######.#.#........#.##.#.###.##.#.##.#.###.##..##.##......###.#####..###.##.#......####.#.##.#.###...##..########...#.##.....#.#.##.##.#.##.#####.#########.#.#####....##.#####.#####.#####.#.###..#..#.#.###.#.##.#..##..##...##......##....###.#...######.##.#.##.####.###...####..#......#.#..##..#.#.##..........#.##..##........####..#..###.##.#..#.########.#...#
###########.#.##.#.#...#.####.#.##..##..#.#.#.###...............##.#####...##.#######..#.....#.#.###.#..###.##.#.#.#.#....#.............###.#####....##.##..##.###.###....#.####...........#.##.#.#...#####.#.##.##..###...######.#.#####.#...#.######.######.#.....###...#..#######...##..###.#.##.##.#..#.##.##.......########.########.###.###########.....#######.#.........######...#.....###.##.#...#..###.#.####.#.####.##..##.####.#.#.#.###.##.#######.#.#.#.....##....#.######.#.#....######...#..##..####.####.#..##.#.#######.#.........###.#.#.#.#.###########.#####...#.#.#...##.##...#.##...##.#####.#......##..####.#####.#.######..#..###.#.##.#.##.#.....##..##..###.###.####.#########.##......#.###.####.##.####.###.###..##.#.###..##.##...####.#.#####.#
#.##........##############....#.###....###################.##.#......##..#.#...#.#..##.###########...##.########.#.#.####.###.#.#.####.##....#....##.##..#.######....##.#...##.#########.#.#.##.#.##.##.....#..#####.#.##.##.#.#..#.##....#.#.##########.##.....##.###..#.#.##.......#.###.#.###.#...####.########.######......###...#.####.#.#.##.##.....#.#..##.#.#.#########...##.#.#...##.##.#.##.###...###########.#.#.######.##.##.......#..#...#.#.#.##..#...#####..####.#..##.#......##.#.#.#######....##.#...#.#...###.#####.#.#.#####.###.#.#.#.#.#.#.###...........#####.......####.####......########...######..##..##...##...####..###.##.##..#.#..#.##.####.####..#.###..#....##.....#.##.#..#.####.#...#.#.##.##..##....#...#.##......##.#.....#......#.##.##.#
#..######.#.###.#.#.#....#.#.####...#.####.#.##.#########..##.##.#.#....######.#.##.##.#.#.##.#.#..#.#..#....#########......#.######...#####.##.#.#..###.#.##.#.####.######.##..#.##...######################.###..#.#.##.#....################..#.#.##.....#.#.##.#.##.##########.#.###...#.#...#.#.###..#...##.####.########.#####.....#............#.#.####..#.#...##.#.##.#.###..####.##..#....#....###.#..##.#...#......###....#####.####.##.###........##.##.##.#.##.#.##.##.#....####.#..#.#.#.#.#.####.##.###.#.###.#.####.#............#.............#.#.####.###.####..##.##.######...#.######.###.##.###.#.#.##.###.#####.####..#.##..#..##..##.#.#.##.#..##...#.##.##.#.##.##.#####.####.##.##......###.#####.##..##.#..#.####...##.######....###.#.#.##.......###
##.##.....#.#.......###.###############.#.................#####..########.........#.##......#.#.##.####.####....##..######.##.##.#.#.#..##...#######...#....#.#......#.#.#..###.#.#..#..###.##.#.#.##.........#.##.#......###.##.#.#############.#...#..###.#.######.#####.##......#######.....#.#.###...####.....#............#.#.###.#...#.#.##.##.#######.##...###..#.#.#..#.##..###.########.#...#########.##.###.#####.##.######..#..###.......########.......##............#.#.#.##..####.#.#.#.#...#..#.##.##..#.###.#.##.#.###.##.#.##.####.#.##.##.#......##########.##.....####.....#...##.....#.#.##.##..........#..#.##...####.#..##.##....##......##.#.##..#.#.##.##.#..#.#...####.##.#.#..##.########....##.##.##..#.####.####.##....##..##..##############.####
#.....#.###.#.#####......##.#.#..##.....####.#.####.#.#####.#######.......##.####...##.##.#.#.#..##########..##..##.....#...###....####..##.##.#.#####.####...######.#.#.##..##...#####..#..........####.#.#.##.#....#.##.##........##....#.#.#....#...####.###........##...######.#.....##.#.############....###.############.......#########.#..##.#..###..####.#.##.#...##.#.##.###..##.#..#####.##..#.####.#..##.....#........#.##.####.#######......#.#######....#.###.####.#.#######..##........###.##.#.##.###...#.#.#.##.......#..#.##.##...#.##..#######.##..##..#.#.#########.#########..####.##.#....####.######.#.##..##.##......##..#####..#####.##..#..####....#.#..#.##.###..##...#.#.##.##.....##.#######..#..##.#.........####.####..####..##.#.....##.####.#
###############.########.##...##.#####.#########....#.#.............##########....#..######.#.#.##...#.##...####.######.###..#..##.##.##..........##.#.####.#..###.......###..##.###..##...#.#.#.#.##....#####....#######.#..##.#.#######.......#.###.###...#####.#.##..##.##.##...#.###....#####.##..#########.....##.#.#.#.###.#.#...........#.#####.##...##......#....#..#.#.##.#.#.##....##.#....##.#.#.#..##..#####.#####.##.......###.........####.#.........######...#.......#.#.###..###.####.....#....##...###.#.#....###.#.#.####..###############.###...#.####...#.#.#.###.#.##.#.##.##...#####.####..######...#.#.###.....####.#.##.##.##..##..#...##.##..##..####.##......###.##..#.#...##.#..######..#..#.##.#.##..#.#.#.##.###....#.##....##......###.....#...#
#......##.###........#...####......##.......#.#################.###.####.#.######.##..#.##.......###.#..##.##......#.#...###.#####.#..########.####.......####.....#####.#.##.#..#.##.#..#.#######..#######.#####.##......#######.#..##...#.#.###.##....##.##.....#..##..........#.###########.#...##.#..#.######.#..............###.##.###.#.####........#....####...##.##...#.##.#.#..####.#..###.##..#.#...###.##.##.....###########.#.####.##.#..###.####.#.######.############...#.#.#.##...#....###.####.####.#.#.#.###.##.#######....####..##.#...........#......###...........#......#...##.##........##....#.###.#.#.#.##.####.#..####.#...##..##...###..##.##..##.##.##.####...#....####.###..##...###..##.##.#.....##.#.########.####....#.####..##.###########.###
####.#....#.########.#.###..####.#....#####....#.#.#.##..##.#...#####......#....#.#..##..#.#####.#.#...#########.#.....#.....##......##...#.....#.#######..#.###.#.#.......##...##.##.##.####.#.###................######......#..#.#######.#.##..###.#..#############..#####.########.##.###....####.##........#####.#.#.#.####.#####..##..#.#....##.#.###.##.########..#..#......#.#.##.#..##.#.#..##.#.###..#..#.....##.##.#.###.......############.#.#.######............#...####.....#.###########...#....#.#.........#..##..#.#.#..####....##..#########.####.##.##.##.#.######.######.##.##...######.#....##.....#.#.#......##...##..##....#####.####.#.#.##..###..#.....####.###.#.####....#.##.###.##.##.##.##...#.###..#..#.#.##...###.####.##.#####..#...###.##...#
#########.#.#.####.....#.##......#.#.##.....##........##....#####.########.####.####..##.####.##...##.##......##############.#######.#..#...#.#...##.###..##.#####.###.##.#####..#.#..####........##.#.#########.#####....####.##.#..##.....#######...#####.##.###.#.######.#.###.#.....#.#.####..##...##.###.###.....########...#.....##..##.####.######...####........#######.##......#.##.#..#...##......##.##.#######.......#.###.###.#...##.#.#.....#..##.#############.###.#..#####...#.#.#.#.#####.#.##.....##.##.#...####...#.####..##.#..##.#.####.....##..##....####.###..............##.#####.##############.#.#.##.########....######.#.#....#........##.#.##.#.#####.....#....#.#####.#.##...#.##........##.####.##.#.##...##.###.#..##......##.####.###...##.###
#.......#.#......#####....###.##.###############.##.#..####..#.##.#.#............#.##.....#...#..###...####.#.................#.#.#..####.###.#.#....#.##.##.#.##..##..#..#.#...##.##....#######.########...#....#.....#####.#.##.##..####.###.#.###.####...##.........#......#...#####.......###.#..#.####....##.#.#.##.......#.##.##.#..#####.####.#.####.#.#..##.###.##...#..#..####......##.###..#####.##.......######.####.#.#...#...##.##....#####.#.##.......###......#...##.#.#####...........#.#.#..###.######..#.########.#.##...######.##.#.#..####.#########.##.####.####.#########.#...##.#.#.##..###........#.....#.#.#.####.#.##.#...####.#####.####..#.##...#.#.#####.##.###..##......#.#.#.#..########..#.##.#..#....###..###.##.##.#.##.....#.....##.###...#
#######...######.###.##.##########........##..########.#.###......#.######.###.#.#..#####.###.#.##.###..######.##############.#.#.##.###....########.........#.##.#######...#.#..#.#..####.....#.##.#.#.###.############.##........##...##.#.....#.#.##.###..###.#.#.#.##########.###.##.##.#.....##.###.#####.############.##.#..###..####.###...##........#.##.##.#...####.#####.#....##.#..#.##..##.#......##.##.#......#......#######.##..####.##.#.....#######.#.######.###......#.#...#########.....####.#####....##.#.####.#.#.####.#.#.......#.##.#.######.##.##.##...##....######.#......#..#.#.#.#..##.########.#####.#.#.#.#..#.#.##.#.####...#.#.#.#####...####.#.#.#.#...#....#.#####.#.####.#.#.####..#.#.##..#.#.##.####.##.#.#.##.##.##########.#####....#.###
##...####.#.#.#.........##..##.######.###.###.#.#.###........#.##..........##..#.#.##.....#...#.##.#.#.##.##.#.#..........#..............#.###.##....####.##.#.##.#.###.###.###.##.#.##..#####.#.##.................#.......#.###.#####..#######...###......##########.......#.#.........##.#.#.#..#.##...##.#..##.##..##...#..####...##....#.#.#....##.#.###.#...####.##......#.######.#####.#.###.##.############.############.###.#.##..##..#.#....###.###.##.#.....###.......#.##.....#.#.........#.#..##...##.#######....##......#.##...#.#####...#....#.#.#...#....####..###.##........##.####.#.....##..#.#........##.##.#.#.#.##.....##...##.###...#.#.#...##.##....#.#.#.###.##.#...#.##..###....#.#.##...##.#..#.##.......#...##...#.##.#...##.#.##.#...#...####...#
#..#..#.#...#.#########.##.##..#..#####...............#.################.#.###.#......###.###.#.##.....##.#..######.###.#...##.##.#.#########...#######.####.#.####.#.#..#...#...#...##.##..........#######.#######.#####.#.#####.##..##..#.#.###.######.##.##.##.#.###.####.#.#.####.##.#..######....##.##....##...##.#######.######..##.#.....##.#.##.#.##....#####...##.##.##.###....#.#.......#.##.#.#.#.##.#...#.#..#..#....##..#.#..####.#.####.....#.#.##.#####...############.###.#####.##.#######.####.##.......##.#########.#.###.####.##..#.####.#.....#.####..##..##.#..####.#.#######.#.#####.#..##.###.###.###.##.#......####.##..####.##..#...#...####..####.....#..##..#.###....##..#####.#....#.###..#.##..#.#######.###..###.#....#...........#.#.###.##.###
#####.....#.................##.#.##...##############.##.##.###........######.########.#.......#..#####.##.##.##..######.###..#.####.#..##.#.#.###.......##.....#.#..#.##.###...#...###...########.####......#........#....####....###.#..##.......##.#.###..............#........####..########..##.#....#####..#.#..#..#.##.###......#######.#..#####..#####.#.##....######...#.#.######.#######...##.#.#.#.##.###.#.##.##.###.####...##.#.#.....##..#.#...#.##.#.....#...#.##..##.########.##########..........####.####....##...##.#......##..##.##.##.#.####.##...##.####.#..##.#.######..........##.....##....####..#.#.#....######.#...#.####...######.#.####.#.##..###.###.##..####.##.####.##.##..#.####...#.##..##.#...........##.#...#.##.#.#.#####.#####..##.#....#
#.#.########.#.####.#.#####.......##.##.##...........#####...#####.##.#.##..........#######.#...####.#.##.##..##..###.#####.####.#####.........##.##.##..#####.#.##..........#.#.#..####.###..#####....#.###########.###.##..####.#.#.##.#######.##..#..##.##.#.##.#.#.#########.#....##......##..#.#.##.#.#.#.#####.##.#.....##########......#.##..###.###.#######.####.....#......#.###.#.##....#..........##..#..#.#..........##..#....#.#####.#..##.#.#...#..####.####.#.##.##..##...##...##..##..####.#####.#.#..#.###.#####.##....####..##.####........########.....##....##..#.#.#.###########..#.#.#######.##.##.......##...#.##.###...##.###.#.##......#.#......###....#.###..##......##......##......##.##.##.##....##.#########.###...######.....####.##.###...####
#........########.###############.##.....#####.###.###.##..#.#.#.####...###########.........#.#..............##..##...###.####.........#####.#..########...###.#.##.#.#.#.##.######........##.#.###.#.#####...............##..#............##.#...##.##..###..##########.##......##.#..####.#..##.######........##........###.#.######.####.###..##...###....#....#.#....###.#.#.##.#.#........#.##.#.#.#.##.###.##.#.#.#.#.#.##..#####.#....###..###########.##..#####.##...#...##.####.#..#..##.###.#########..#.#.##.#...#..##..##########.#...##..#.#.##...##.######.######..##.#.#....##.........##.#....##.........##.#.##..#....#.#.###.##.###....##.###.....#######..####..##.##..###.####.###.#..#.####...#.##..##.########.#...#.##..###.#..#######.....#.#...###..#
########..#.#.#..............#.....#####.#.#.###...###..####.#.#.##...#..#.###.##.##.##################.#.##....#####.#...#..##.#.##.###.##..##..#.##.####..........###.#######.#...####.###..#...#####.#...##.#.#.#.##.#####...#.#.####.####.##.##..###.####.##.##.#.##....##.#..######....##.....#.#.#######.##..#.###.###............##..#...###.#..#####.###.##########..###.#......#.####.#.##.########........#.##########.##..######.##.##.###.###......#.##.##..#..#...#.....##....###.#..#.#.#.......##........###.#.##..##..###.....##.####.#######.##..#..#...#.##.#.##......#.###########.######.##..#.#.##.##..#######.####...#.#.##...####.####.###.###..###..####..###.###.#....##...####.#####.##.##..##........##.....###.#..##.....##...#.##.####.#.###.##.#
###.#####.#.....##.#.#.#####...###...#.........#####.##...........#.####.#.#.#.#.....##....#.#.##.....#########..##.#.###.##.##########.....####.#.#..#.####.##.##.#######.###....###....#.##.#.#####.....#.#############.#.#######.#............###.#.#....###..#.....#######.#.###.#.#######.#.#.....##.......####..####.###########.##########...##..##........##.#.##...#########.###.#....#.#..#####....######....#.#.#.#.#.##.##................#.######.......##.##.##.##.#.#..######.#.##.#.#.#######.##.#.#.##.....#.###.#..##.#####....##.#.##.#.##..##.##.###...#....#########..#.##........##.#...##.#############.#.##....#.#......##.##.....##..##...##.##.##..#.#.##....#######.##.###.#...###..##....###.######..#####..##.##..##.######.##.##.##.#.#.##.....#
#.#.......##.#.#######.#.....#.#####.#######.###..#..##.##.#.###.######......#...#.#.#####......#####.##.#.##.##.#.....##.#....##...#.###.####.#...##.#..#...##.#..##....#.#.##.#####.##....#.#..##.#####.###.#.#.#.##.#..#..#.#.#..###.#.#.#.##.........##..###.####.##.....#####........##.###.##.##..#####.###.#..##....##.#..........####.....#..##.####.####....#..###.#..........#####.#.#.####.#.####.#..#.####.#..........#.########.#.#.##.#....###.#######.##.############.##.#.#.........#.#.#........#.#..#####.#.#.#...###..#.#..##..#.#.#.......##...#.##..#...##.#..###.#..##..######.#....##.#########.#.#.#.#.#.#..#########.#.....#####..##..###.##..#.#..##.#.#####...#.##..#...#....###.#.##..#####..#.#######.##..##..##.##......##..#.....#.#.#....#####
#.#######.#######...####.#.#.###.###...##.#....##.#.########.##..#.#..######.#########.#.#.#.##........#.#.#.......###......##..#.#....##.#......#..#.##.##.######.##.##.....#####..#######...#.##...#....###..........##.##.......##...#.###.#..#.#.##.##..##....###..#####....####.####.##.########..##.......#.##.##.##.#..####.#.##.##..##########...######...##...##...##.#.#.##.##.#...#####...........##.....##...#.######...#.#.#.##.#.#########.#................##.#.##.##.##.#.#########.......#.##.#.########.....#.###.#.##...######.#.#####.###..###.#..#.###.##....##...##.###.##.##..##.#..#.##.##.#.#.........#.##....##...###.#.#..##.##..##.##...#.##.##..#.#..##...###..##.###...####.#.#.#..####.##......####..#.##..##.....#.#.###.##.#####.....##.....#
#..#..#...#.#.#.###.#.##.###.###.#.###....####......#.##.##..###.....##.......##..#.#......###..#.##.#.......#####.####.#.####.#######.#########.##...........##....########.#.#...###.#....#.#..#.#.##.#.#.#######.##.#...###.##.##..#.###...####.#.##..##..###.##.##..##.####.#.##.#.....#.#.##.####.####.###.#..#..####.##.##.###.#...##.##..#..##..#........#.##.#....#.##.#.#.####....####.########.#.####.#.#....#.########.#..........###......#....###.#####.##.#.........#.......#.....#####.#.#.#########.#.#.###.###..#.......###.#.......#.####.##.......####.#######....#.##.#.#.#...########...##.#....#####.###.#.##.####..#########.##...##.#..#..###.....#.##...#####.#.##....###.###.##.#.#.#.##....##.###.##..##.#..##.###.########.#.##.###.#.##.##..##.##
##.##.###.....#.#.#.#..#######.#.#..#####.#.#####.###.#..#####.#####..#####.#.###.#.#####.##...#######.#.#.#.#.....#....####....##.#.#..##.#.....###.##.#.#.####.##.#............#.......##.#...####..#.#.#.........#....#..#######..#######.##....#.#######..#........##............#.#.#.....#..#.#...#...#.....######.........#######..#..##.##..#####.#.#####.#####.#.#.##.#####.####.##.......##.#######...#.##.#.###........#####.##.##########...########......#######.###.#######...#.#.......#####...#.#.#.#.#.#...#.##...#.#.#.#.#.#####.###...#..########..##..##.##...##.#..#.#.#...###...######.##.##.#####.###......#.##.##..##..#.#...#.#..#.##.##..##.#####.###.###.#..#.####.##.#..##.##.#........####...######.#..##.##.#.#.......#..#.##.#.#.#.####..######
#.......#####.......#.####.##......##.#...#.#.#...#.#.#.##..#....#.##.......#.............#..#.#.#.##..###.#.##.##.##.#.##...##..#.#.#.##..#.#.#.#...##.#.###....########.#.#.##.##.###.#######..##..##.#######.#.###.#.###.#.##....###.......####.#.#.....##...#.#.##....#.##.###############.##.#.###.######.#.#####.###.#####.#.##.###.##.##..##...#.#####.....#.....#.#..###..........###.#.##.#....#.#.###.#.#######..#.##.#.#.....######.###..##.###....#..#.#####.##.#####.##.##...###.#.####.##..##.#.........#.###....#.#.#####...#.#...#...###.##..........####.#...#########.......#..#..###.#.#...#.#...##....###.###.#..#.#..##..##...######.........###.#..##.#.#..#..##.#.#.##....##.#.......##########..###.#.##.##...........#######.##.##.......#.#####..#.#
######.##.#.#.#####.#..#.#.#..#.##......#...#.###........##...##......#.#.#.##.##.#####.#.##.#.#....##.##..######..##.###..#####.#.....###.#########.#..######.###........#.##########..#.##....####.#####.###############....####.##.###.###.##...#.####.####.##.#.###.#.#.##.#....#.#.#.##......#.......###..#..##.#...####....#.#............#####...##....#.#.####.##.#.#############.#.#####....##.#.......###.#.#.############.####.##.#...##.####.####.#######...........#.....###.#...####....##..####.#.####.#.....##.######.####...###.#.###.#.###########.#.#....####.#..#.##.#######.#.##.......#.....#..####..##.#.....##.##..##.####..#.#.#########.#.#...###.#.##.#.##..#....##.#.##...#########..##..##........#.##.##.##.#.#.....#.#.#.....#.#.#....#.###.#.#
#.##.#..#.#.###.#.#...##.....##.#..#.#.####.......#.####.##########.#.#.#.#.#...####....#..########.....##.###....##...###.#.......##.##....#...#.##.#.###.......##.##.#.##.#..........##..####.#.##.#.##......#.#..##.#.####.#.#..##......##..#######....#.##.#..#.#.#####.#######........#.##.#...###.#...#####......####.####.....#.###.##.####.####..######.#.#....##.#.##.###......###.......#####...#.#.#.###...#.#.####...#.###.#..#..###.##.#.#...###.......####.#.##.#...#.#.#...#.#.#....##..##..##########...##.##...#.##..#.####.##......#.#.#.#...#.#.......##..##..##...########.#.#.########.###.####.#####.#####.##.##.##.##...#.#.##.#..#....###.#.#.####..#.#..#..##.#.####..#..##.####..#....###.##..########.#..###############.#.#.##########.#....##...#
#....##.#.#.##......#..##.#.############.###.#.##.#.##.....####.....##########.###...##.#.##........##.##....#.##.######.####.####.##..####.###.#....###...#.#.####.#..#..#####.#.#.##..##.##......#...######.##.##...............#####.##.########.#####.#.#..##.###...#####.#...##.#####.#######.##...###.#.#.####.#....#.##.###.#.#.#...#..#.#..#..#.###.##########..#####......##.#.#######.###...###.###.###.###......#.###...##..##.##.##.....#.###.....#####..###########.####.##########.#.#######..#.#.#.....####..#.#...###.#......######.##.......#.....#.#.####.##..###.###.#..........#.##.#...##..#........#..##.####.##.#...#.#.....#..##.####.#.......##.##.#...##.##....##.#####.##.##.##...#.##.#.###...##.#.#.##...#..#.#.#.##.#.#........#.#.########..###
####........#..##.###.#######..#.#..#.#......#.#..#.###.##......###.######.#.####..####.#..#####.#.######.#########..#.#.##...#....###....#.#.....##...###.#.#.##.####.#.###....#####..##.....##.#...###......##..###.#####.##.#.###.#######.##...........#.#.######..###.##..###.####..#..###.....#..###............##.#...#......##########.#.##.##...#.#...##.#.....##.....#.##.####.#.#.#######.#..####...#.....######.#.#.###..##.#..#...#####.....###.#.##....##..#...##.###.....#.#.#.###.#...#.#.##.#.#...######...######.#.#.######.....##..####.##.####.########.....##.#.##..#######.##........#######.##.#.#...##...#.#.##...#########...###.##.#.###.#####..#..###..#.##.#####...##..##.......###.#..#.#.#.###..#.#.#..#...##......#.....#####.##....#.#.##..##.#
#....#.####.#####.##....##.###.#.##.....#.#.#####.#.#...###.#.###...#.#.#.........##....#############........##.####.#....######.#.#...##.#...#.#####.##...#.#.##..#...#.#...##.##..####..##.##..#.#...######.###..####.#...#..###.....#.#....###.#######.#.###....##..#..###......####.##.#.###.#.#########.###.#.########.###.#######.###.#.........#...##.###.#####.##.########.#......#.#.###...##..###########.#.#....#....###..#.##.##.##...#####.###########.###...#.....######........#..#####........########...#..##.........###...###.###....###########.#.#....###.##.#.###..........##.##.##.#..#.###########..###.#.#.####.##.#....###.##..##.#........##.##.##.#.##.##.#.##..#####.#..############.#.#.#...##.#.....##.####.######.###.#.#####..##.#...##.##..#
#.#.####....#.#.######.##..#.#.#....##.##.#.##....#.#.#.#.###########.#...#.#####.##.######...........#.#.#.##..#......##....#.#.#######....#.#.##..#..##.####.###.#######.####.#..##....##..#..#####.##..#.#...##.#.#..#.#.#########.##.###.##.#####...#.#.######..##.##.#.####.#...............###.........###.#.#.........#####...#....#.##.#.#.#####.##............####........##.#.#.....#.#######...............####.####.#.##......#...#.####.##.#.##.#.##.#.#.######.#.##.#....##.#.#...##...######.#...##.....#.#.####.#.##.#.#.##.##.......#####.#............##.#......#..###.####.##.###########...#.##.#.##.##.#.#.#.#.#.#.....###.###...##..#.######.###..##..#.#..#.#..#.###..##.#...##.#.#.#.###..#.#.#.#.##.#.########.............###.....##.####.####..##.#
#####.#####......#.###..##.#.#.############..############..#............#.#.#......###......#.###.###.###.#.###...#.##.#..##......##.....#.##.#..##...##..##....##......#####.####....#.##..###.##..#..##.#.#.###....#.########.....#.#....#.##.##....#.......###..##.......##...#.###########.#.#####.##.##.#...#.#########.#.#...#...##......###.#........#.#.####.#....#################.#...#.####..#.#.##.####.#................####...#....##..##.#.##.#.#..#.#..###.#.#.#..####.#..#.##.##..#..###.#####.####.#.#.####.#####..#...###########...##..#.#.#.################...##.###....#..#....#.##.###...#......................#####.#.#.###.###...##.......##.##.##.#.##.##.#..##.###.#.#............##.#.#.#.####.#..#.....##.##############.##.##....##..##..##..#
#.......#.######.#.#.##..........#.##.##.######.##.#.#..##.#########.###########.#..####.##.###...##...##.###...#.#.#####..##.##.#####.#.#..#.#.#####.##.####.#.#..####.#.#.#..#.##################...##....#..#..##...#.#....#####.....##.#.#..########.#.##...##.#######.#########.#####.....###...###..####.#.#.##............####.##..###########.#.#.#.#####.###########...####.#.#.######.#.#.#..##.#.##.#################.#.#.#....#.#.##.###......##.#.##.#.#.##...###.##......####.#..#..###.....##.........#.#.#.....#.##.####...#.#...#.#.#####.#.#####....##.##.##....#..#.#########.####...#....###.#.#.#####.#########.#.###.##.....#.#.#.###.###.##.###..........##.##...###.#.#.####.#####.#.###..#.#....#.#.#.##.######.#.....#.#.##.#.######.#####..##.##.##
#######...####...#.#.###.#.#.#.#.........#.#.#.....#.#.##.....##.....##..#.#.###.#.##....#..#...####.#..#######.#.#.#...####..#####.####.#.##.#...##..##.##.##########......##.#.#..##.#.#.#.#.##.###.#####.##.#.#####.#.####.#..###.#.##......##..###.########............#.##.#.#........##.##...#.....##.########..###.#.####.#.....##.#.......##..#.#.#.###.....#.##.#..###.#..........#.#......#.##..####.#...#.............#.#.#.########..#.#####.##.....#...#.####.##...###.#####################.#######.##.#.####.##.......##..#.....#.......##..##########.#..#...######.##.#.#.#.#.####.#.#.####.#.#.#######...##........###.#..#####.#.....##....###..#####.##.######.##.####....#..##......#####.##.#...####.....##.#.#.#..#.###.#...#......##.#..#.#..###.##..#
##.##.###......#.....#.#.###.#.###.#.###.......#.#.#...####.#....###..##.........#..####.########....####.......#.#####.##...##..........#..###.###..##..#.....##.#..####.#....#.##.#.....................#.##.####......#.##.##..#########.##..##.#....#.#.#.##.##.#.####.#.##...#####.##.#...###.#####.##..##.#.#####...#..##..###.############..##########.###.###.#..##.##..########.#.....#.##....##.#....###...####.#.##.#.#.######....###...#.###..#####.###.#.#.##..###.....#.....##.......#.........#....#..#.##.########.###..############.#####..##.#......##.##.##.#.....#.#.#......#.#.###.#.#......##.##.###.#..##.#.#..##...##.#.#.#####..####..###.....####...##...##..#.####.#.##..######..##.##...#####..###..........##.#.#####...######..#.##.#.##.#.#..##
#..#......##.#####.#.#.####..####..#.#####.###.###...#.#.##.##############.#.#.####.#....##.......#.#########.#.#.##.......#.#..###.####.#.##.....##.#..##.###.#..##...#######.#.##.#########.#.#.#######.......#...#.##....#.###.#.#.#.#...###.#..#.##..........#..###.........#...###.#..##.##.###########.##.........#.#.####.#....##.#.#...##.##.#.#.##...#...#.#.##.#..###.#....######.####..##.#..###.#.#########...#.#..#.####.#.####.....#.....#.###.#......#.#.#..####.#########..#######...####.##...#.###.#.#.......#...######....##.#....##..##....####.#........#.####.##...##.###...#.##....######....#......#.##..####....#.#......######......##...######...###..#.###...##...#.###..#.#.##.##..#.#..##...##.############.....#.#..####.#.#.##.#...........###
##.#.####.#####.#..#....##..##....####.....##..##..#.#.#..###..........#...#.###....###.####.#.##.###....#....#.#.#..#############..#....#..##.#############...##.####.#.##.........#.####....#####.......#####.#####.#..##...........#.#####...##.#######.##.##.##.######.###.####.....#.##..##........#.......#.##.#.####.#.####.#.##......#....##.#....###.###......#.##.#...####...##.###....##..#.########.........#.####.#.#......##.#####.#####.#...#.###.##.......##..####..###.#.##...#...#.#....###.##.##..####.#.##...###.#######.##.####..##..####.#..########.#...##.#.####.########...#..##........##.###.#.##..##.##.##.##########.....#..#.##..###...#.#..#...####..##.######...#...##.#.##..##.#.####..###...#..#.#..#.##.####.##.#..#........##.##########.#
#....#....#.......###.#....####.#.#.#..#.#####.#..####.#.##...#.##.###...#.#..###.#.##.....###.######.##...#.#########.........#.####.#.##.#######..#.########....#.##....###.#.###...#..######..##########...........##.##.#.#####.#....#.####.....##.....##..###..#......#####.####.#.############.##.####.##############.#..###########.#.##.#..#.####.........#.##........#......#..#.##..##..#.#####..#.######.########.######.#.#..........##......#....###########..##.##.#.##......###.#######.##.#....#####.#....#####.####.#...###.##.#.##.###.###.#.##.##.##..#####..#...#.#..#.#..#...#...####.#####.#....#######.#####......##..##.#####.#######.##.#.###.#.###.##.#..###..#.#.#.###.####......###....####...##.##.##.#.##..#.##.#.#....##.#########.#.##.....#.#
##.#.##.###########.#.###.##..#####.#######.#####.##......##.########..#.#.##.#.#.###..##.###..#......###.##.#.##..#...###.#.#........#.#..#.#...##.#.#.##.######.#..####.###.###...#.##.##.####.....#.###..##.###.##.#...###.##########....#...###..#####################.#..........#.###..#.#...###.......##.....#.#.#.####.#.##.#.#.##########....####################.#.##.#.#.###......######.#.#.##..........#######...#.#.######.##.#.#.######.####.#..##..######.##..##.#..######.##..##.#.#####.########...#######.#####.#.###.#...........#.#.##....##.##.#..###.###...#.#.##.#.##.#.#.##.##.#..##....##.#.#########.#.#.##.#.###.#........###.#.#.##.#.##..#.#.####.##.#.#.##.#...#.#......#.####.##.###..#.###...#.##....#.##.##.#...##..........##.....##.####.#
#..#..####.#..........#....##.......###.......##..##.##.#.....##..#...##.#.##.#...##..##....#######.###.#.##.#..##.#############.#.##.#.####.###......#.#.....#.#.##.#.#....#########....##...######.......#####...#..#########...##.#.####...#..###...###...#.#..##.###...##.##.#.##.###.##...###.#########.######...#...##.#.............###.#.###.##...#..#.............########.#.#.#.##..#.###.#...#..#.#####.##...#.##.##.#..#.#############.....##.####..##........###.##.##..#......#.##.....###..###....#####...#.#.#.#......##.#####.#.###......####..#.#..##.##...#..###.#.##.#.##...######....######..###.#.#.##........#..###...##.#.###.#.#.#.#.##....##.#....##..##.#...##.###.#.#.########....##...##.#.#.##.##....####.##.##...#######.########.###.........#
####.##......#.##.###.#.##..#####.#...#######..########.###.#..##...#.#..#..####.####.#######.......#......#.##......#....#.#....#.#..#.#......###.##.#.##.##.#........####.###..#.#..##.####........###.####.###.#####.#.#.....#...........###.##.##.##.###.#.##.##.#.#################...###.#...#..###..###.##.###.###.#..####.#.####.###.....##..#..#.##.#######.#.#######..#####.###.#..##...#####.##.#.#......###.........##.#..##...#.#.#.#######...#.#.##########.........##.######...######.#.####.###.##..####.........#.##.##.......#########.##.###.#.##..#.##.#...##...........##.####.###.#.##.######........######.####..####.#######........#..####..#.#.######.#..###.##.#.#.#.....###.####.###.###....#.....##.####.#....##.#######.######.......###.#.#####
#.....###########.##..#####..#######.####.#.##.#.##.#...##..#######.#.#.##.##.....##..#.....#####.####.##.##########.##.#.....##.#.##.######.#..#####...####....#.##.#..#.#.#.##.....##.......####.#.##..#......####......#####.########.#########.......#.#.#.#.....#.#..#.###.#.#.###..###.....#...##.##.##.........##..##..########.....#####.###.####.#..#..###..###.......##.##..##..##..#.#..##...#######.#.######.#.####......###.#.....#.##......#......##.....#..#####.####.##.##..#..#.##.....##..#....##.#.#..##.##.#.###.....###.#.#............#.#...##.##..#########.#####.#######......######....######.###..#.#.#######..#.#.#.##..########...##..##.#...##.#.#...###..##.#.#.#.#####.#..##..#.#..###.###.###...........#.###.....##...#...##.###.###..#.....#
#.######..........#####.....##...#..................###..##..#.##...#.#.#...#####..##.#####.......#....##..##.#...##.####.###.##.#.#####.....##.#.#...#..####.#.#.#####..........#.#..###.#.#.#....#######.####.###..##.#....####.....##.####.##.###.#.#.....#.#####.#.##.#.#.....#.#.#.##...#.#####.##.#.....##.#.##..##.###.#..#.#.###.####..........#..##...##.##.####.####..#.##.########.####..###..##.#...#####.#######.######.#.#######......####.######..#####...##......##...#.#..###......#.#..##.###.###.#.##..########...#####...###.#.##.#.#.#.....#.......###.###.####.###.##.#.#######.##.#.####...##.#.###.##.#..##.#.##.....#..##.#.##.....#.###....#.###..#.##.##.##....#.......##....###.##...##....##.#####.#.#########.#.#####..#...###..#####.##.#.###.#
#####.#..#.#.####..##...#.######.######.##.##.#.#.#..##.####...##.#.#.#.##.##.....#######.##.#.##.##.###..##....#..#.#.#...####..#...##..#.###..#.#.#.##.#....#.###.#...#.#.#.##.####.#...#.#.####.##.#.##.##.......##..##.#.#....###.####.........#######.#..............#...#.#...#.#..########.......#######..#####..#.#.#.##......##..##..#.#.#.##.##.####.##..###.#####.##...##.......#####.##...##.##.#####...#.#.#.....####.#.#.##...####.####.####...###..##...#..######.####.#.####.#.###.#####.##.#...##..#.######.#..######.....#.#...###..######.#.####.#.#...#.#.#.#.#......#....#..##.#....#.#.####......#....#.##.#..#.####.#...##....########...####.#..##.##.#..##..####.##.#.######.###....##.######.##.#.########.##.##..#.#.##..######.##.#...#..#.#...###
##......########..#####.###..#..........##..###.#.##.....#.#.#.##.#.#.#..#####.####.###......##################.##.....##.##....###.###########...#####....##.#.#.....#.########.##...###.#######..#..#....###.#.#.##..###.#...#.##........##.#.##.##.#.##.#.#.##.##.####.#########.#.##.##.#.#.#######.##..###########...#.#.#######....##..####.#.#...#.#.....#.###..#.#....###.######.#..##....###.#.....#...###.......###.#....#.#..###.#.######..#..###.....#####.######.#...#.#.#..##....##..#......#.#.#..##.#.#.#.#..##.#.#.#################.#..#.#####....###.#.#.#.......####.###.##.##..####.#.#.#..##.##.###.#....#.#.##.#.####.###..##..#.#.#...###.#....###.##.#.####.#..#.#..####..##.#####.##..#.##.#..#.....##.#.......##.#.#.#..##.###..#....###.##########
#..######.#.#....##.......##.###.####.#.###.##..#.###.#.##...#..#.#.#######.#####...#.###.#.###.#........##.########.#.....##.#.##...##...#..#..#..#.#..##.########.#.####.###.###..#####.#.......###...##.#...#.#.#..##...###.#######.#####..###..........###.#..#..##.....##.#.##.#.##.##.#.#.####.#..###.#.#.##.##.###.#.#.#.#..#####..####.##.#.###...#####...#.##.#.####.#.....#.#####..####.###.#####.##.##.#########...####.#.#.####.....#..##...##.#####.##.#####.......#.......##..#.####.######.#.####......#.#.##.#..#...#.##.##.#.#.##....##....#.#####.#####...###########..........##........#...########.######.....#..#...#...#######...#.###.##..####.##...#.....##.##.#.##..#.##.#..#.##..##.##.#....##.#####..#.####.##....#...###...#.##.####.#.#.#...##.#
##..###...#.#.##.##.###.####.....#....###.#########.###..##.###########.....#.#.###.......###...##.###.#.##...#......##.#.##..#..##.#####.##.#####.....#####........#.#.....#...#####.....#.#.#.#...##.######.###########.##...##...#..###########.#.##.############.######..#...#.......##.#.#.#....##..#....#.##.##.#.........##.#.####.###...#########.#.#####.#.#..#.#......###.#..###..##.#..#.#.#.###..#.##........#..#...........#.#####.##.####.....#.##.##.......#.##.########.###.####.####.#...#..#.##.###.....##.##.###..............####.#####.....#####.....#...#.##.##...########.#########.###.##.#..........#####.##.###.###..##...###.#.##..#..###.#..###.##.#####.##.#.#..##..#.#.##.###.........##.##...###.##.##.######.##.###.#.###.##.#.##.#.#...###..#
#####.###.#.###...###....##..#.####.#.#......#.#.#......#####.##.#.##.###.#.....#.#######..####.#####..#..###.#########.#..##.#.######.##.#...##...#.#.##....##.##.#####.##.###.#.###########.###########......##.#.##..#####.#####...##...........#..######.##.######.##.##...#...#####....#.#.#.##.###.##.#...##.##...###.#.#....#....#.#.###..#.##.......#...#.#.##.#.##########...##.##.##.##.#.#.#.#.##....###.#.##...###.##.#.###.....##..#...#######......#####.##.######.##.#.....####.#.#....###...##.#####..#####.........#.##.#.#.###......#.....###...###.#.#####.........#.#####..#..##....##.###..#.##########.......#...#..####..###.#......##.##.#.....###..#..#.##..#..#.#.####.#.#.##.#.#.#.#####.##.##.###.#.....#....##...#.......................######.#
####............#.####.#######.#....#.#.####.......#.#.##.................#.#.#...........##......#.#.###.#.#...#.......#.#######.##........#....##############..###.#####..##......#.#..##.....###.#.....#.#.##..#....##...#########.###.#.##.#.#.#.##...........##.......######.##.....##.#...####......####.##.....#.#...######.####.#.......##..#######.###..........#..........#.................#...###.#.#.###.######.######.#...#.#..##.###......#######..##.#######.##.....#####.##.#.#.####.#.###.##.#...##.##....#.#.###.#.########...###.###.#.####.#.....#.#..####.###.#.###...##...######......##....##........#####...#...##.#..##.#.####.###.....##.##.#.##...##.###.##.....##.#.#.#.##.#.#.#.....#.##..........#.###.#######...##.#.#.##############.....##.#
##...#.#.#.#.##.###....###.################..#.###.###.#..#.##.####.###.#.###.#.#.##.#.#.######.#.....##......#...#.###.###........######.#.#.#.###.#.#.#..#....##....#..##..###.##.#.#.#####.###.#.#############.##.#....#..#.##.##...#########.#.#..###.#.#.#.#..#######.#.##.#####.##.#..###..#.##.#.#..#....##.######.####.###.##.#.#######.###.............#.##.#.#...##.#####.####.#.#.##.#####.###.#.###.#..####.#.##.##.###.#.######......#####.##.###.##..#..#.###...#####.#####.##...#.#......##.....###.#.....#.##.#.#####..####.##########...####.#.##.#.#####......#...#.#####..##.#####.####.#######.##.#.###.############..#.#.###.#....#.#.#####.####.......####.#......#.####...#...##.....##.####..###.########.#....#.#.#..#.##########.##.###.#.########.#
#..#######.#..####..##.#......#.####.#......##.#....##.#.##.#...##..##..#.#...###.##.######.######.##.###.#.#.##.##.#....#########........###.#.#...#.#.##.#.##.#..##...####.....#..#...##..###...#.##.###.....#...#########...##.###.##.........######...###.####..####...#.....#.########.####....######.###.#####.#....###.......................########.##.#.#..#.##.##..##..###....###..###............#....##.#........#.#...#.##.#.######...............##.##.....###.##.#...........#.....#.##....#.#.......##.#########.######.#......#...###.###......#####.#.###.##########..###......##........#.####.######.###......##.###.#.#.##..####.#.#.#.#.#..######.####.#..####.###.#..##.##.####.###..####.##.##.....#.######.###...#.####.#.#.#.....#.......##..###..#
#####.#.##.##.##...##..##.###..........#.#.#######.###.#.#..#.########.####.#...######.............####.###.##########.###.#.##.#####.#.####..#####...#.##.############.#.######.##.###.###..####.#......#####.##.###.##.##..#......######.########.#.#############....###.#####.#..##..##.....##.#..#.#.#.#....#.#..##.###.#####.#.######.##.#.#.######.....#..#.#.##..#####..##.######.#...#####.##.##.#.#...##.##.########.#...#####.....##.#######.#.######..#.######.##..#..#.#####.#.#.##.########.#.####.##.#.##.#..#.#....#.#..#.######.###.#.###.###.#####......#######.###.###...####.###########.#.#....#.#.##.########.##..........##.#....#.....#...##..###.#.##...##..#...####.#..##........##.......#..##.##.....##.#.....###...##.......###...#####..##.#...##
#..........##.####..##..###...##.##.##.#.#.##......#.######.###.........##..##.####....####.##.#.###.........##........###......#.#######....####.###......##..##.........#.######....#..###......#####.##..........#.....##.####.####..#####.......#.#.###.###.######.#.#.#.#.#.#.###.######.######.......####.....##..##.....#######..#############..####.###.#########.....##.........#.#.##..######..#.#.####.#..##.....#...#.##....#.#............#.####.##.#.#.#....###.##.#.##....#.###..#........#...##..###.#....##.##.#...##.#.##.#.............#...#.....####.#.##............#......#.#.#.#.#.....####.#.#.#..#.##.....###########..#.####.#####...#####...#...##.#..##.###..##..##.##.############.#.##.##..##.#.#......#.#...#.###..#.#.###...#.....##..#...#..#
##.#.#.#.#.##.#.#..##..##...#.#######..#.#..####.#...###########.####.#..##.#..#..####################.#.#.###..########.######......#.########...######.#....###########.#.....#####.#.##.######.#.#....##########.###.#....#....##.##...#.#######..............#.###.................#.#.#...#.#.#.#####.#.######.###..###.#..##.#.##.#.##.#......##.......#####...########.#..#.#.#.#.#.#####..#.....#######.#.##.####.#...#.#..##.######.#.#.#.#.#####...........####...........###.##.####.#.####.###.#.###.#...#.##.##.######.#....##.###.#.##.####.###########.#....#############.######...#.....#####.####...#.##.#.####.#......##...##.#..##..#.#.###..#..###.#.######.##..####..##.##..#.#.#.......#######..##.####.#.###.##.###.......########.#.#.#.#..##...######
########.#..###.##.###..#.#.###.##.###.#.####.#####.##.#.#.#.....##...#.#########.#..##....##.#.##.#...#####.#.####.......###.######.....#.##...#...#....#.##...###.#.#...###.#..........#.#.##...#.###.##.#.........############....####...#.#...##.###.####.##.......#######.#.#.#.#.......#...#.###.#.......####.#.####.####.#....#..#..#.####.#..##.###.##.#.###.#...#....##.#.#.#.#.#.##.###...##.##.##..............#.###.##.#####.#.###.########.####.#.#.###......##.#.#.####...#..#..#.#.#....##..#..######.#.####..#.#....####.#..#####.####.............##.####.#.#.#.##.#.####.##.###.##.##..........###....#.#.#..####.###.####.##.##..##.#.#.#.#.##.##.......#.#...##.#.#..##...#.##.#...#.#.#...#...#.###....#.#...###....#.#.###.#..##..##########.##.#......#
#.#...#######........#.#######...#.....#.##.....#.#.##.......##.####.##.##...##...##.#..##...........#.#.......#....##.##............#.#...########...#.######.##.....###.....##.####.##........#...#........##.####.#.#.##.#.######.#..##.##.#.######....##..#..###.#.#.......#########.#.#.#.#...##....##.##........###...#.#.####.##...##..######....##..#........###.#.##..###.###.#.###...#..###..##..#####.##.#.##.##..##.####...........##...#........#.#.#...#.##..###.#.##...#.##.##...###.##.###.####......###.###.#.###.##.##.##...###..###.####.#.#.##.....#..............#.#............#..######.###.####.#.#.##.##.###....###.#...#.##......#....#..#####.###.##.###.#.#.#####........###########.###...###.####.#.####.###.#...#...###.###.#.#..##..#.#.#.#.##
#...#.......###.##.#####.#.....#...###.#.#..#.#.....####.#####...##..#######..###.#....####.######.#.#.####.##.####.#..#..##.#.##.########..##.#.########.#.....#####.#.##########....#..##.##.####...#.#.#.##..#......................##.........#.#..#.####.#.###..######.#.####.......#.#####.#....###############.#.#.#......#....#.#.##.##..#.##.#..#########.#.......###########.#######...###..####...#.#############.##..##..#.#####.###..#...#.#.######.###.#####.##..#..##.##.#..####...###..#.#..##..#.#####..........#....##.###.##.####.####...##########.####.##.#.#.##.....#.#.#.####.##.#.................#.#..##..#####.#.....#...#######...##.#.##.....##..##.#.#...#..#.###.#####..#.#..#####...#.#...########...##..##.#.########..........##..########..#
######.#.##.....##....##.#####.##.##...########.#.#..##..###########.#.....##.......#.##.###########.#.#....#..##...####.#############..###.##.#..........#.###.###............####.#.##.##.#####...#.#.#.#..##.##.#####.#.#######.#.#....#.#.#.#.....#####.#####...###.##..#.##...##.#.##.##....##.#.##.....#........#.######.#...##...#..#.##.##....#.####....########.#..####.##..#####.#...#.##..###.###.#.##.###...#....#########.#.....#######.########.####....##...###.##.#..##.##.#....########...####.#.#.....###.####...##......#..#..##..##...####....##.#....######.#..##.#.########.....#.####.#.##.#######.#.##..#.##.....####.##.#.....####.##....######..##.#....#.#...##.#.......#.##...##.....#####.####.#.#...#..#####.#..#.##.#..##.#.##.######.#.#.#####
#......#..##.##.##.####..#.....#...#######......####.#..##.....###.#.####.####.#.##.####.#.#......#..####.####..##.##.....##.........##..........#.#####.#####......#.##.#.#.#...#########...##...#.###.#.##.########....#.#.......#####.########.#####.#.........#.#....##.#.####.#..#.##..#######.###..###.######.#....#.######.##..#.##.#.....####.####.###.##.#......##.#....###..##.#...###..####...##.......#.###...##.#.....######.##.#.......#.#.#.....##..#.##..###....####.##.#..##.#.###.#....#.##...#######..####....#.###.###.##.#.####....#.##.##.#......##.##.##..####..#.#...#.############..#.######.#.....###.#..####.##.#...####.#.##.########.#.####.###.#.########.##...##.#.####..#..#.#####.###...#....#.####..##.####........##..######...........####
#.###.#########.##..####.########.###....####.###..####.#..###.#.#.###.....#.##########..#.######.##.##.####...#######.#.###########.#..#.#.#.#######....#.#...###.##.#..#######.#.#...####.#####.#.#...#.#...#####.###.##########.#.......#.#.#..#.......#.##.#.####.##....###....#.########.......##..##....##.#######........#####.####.###.###..#.##.....#......#.##..######...#.##....####..##..###.#..#####.......#..#.###.#...#....#####.###.##.....##.##..##..#########..#.#########..#.#.....##.#.##.####.#....##....#.##..##.##........######.####.######.#####.##..#####.##.#.###......####.##.######.#....##.##.......##.#.....##.##....#....#.##.#...#.#..#..#....#..##....####.######....#####...##....##.##.##.####.####....##.#.#.#.####........#########....#
#.#...##..#.#...###.#.##...####.####..##.##.#..###......#.###......#######.#..#...###.##.#........####...#.##.###.#....###..#.#.##.....##.#.#.##..#.####.#...#.#...#..#.####.......###.#....##....####.#####.##.##...#...##...#.##.####.#.##.....###.####.####.###.######.#.##..#.##.#....#.#####.#.#..######.##.#.#.....######.###.###..........##.########.###.#.####..##..#...#....#######.####..####...##.....#.#.#.#.##.#...###.##.#..##...#####..#.###.....###.##.#.......##....###.##########.###########.....##.###.#.####.###.##.#.##.#..#.##..###..#..#######......####....#####.####.#..........#####.####.####..#.##.##....#.#.....#.#.###.#...##.###.#.##.##.##.#.#.######.#.##........##..##.#.####.#######..#####........#.##..#.#####.###.#####.......########
#.##.####.#...#...###..###.#....###..###......##...###.##.##..#.####...###.##...#........###.##.#..#####.#..#.#.....##.####........#.###..#.#..##.#.#.##.###.#.##.###.####.##.##.#.......########.#....#.....##....#...######.#.####....#####.####...##...##...#..........####.##..######.........###.##.............##.####............##.##.##..#.##.#......######.##.####.#######.##..##........##..###..##.########.########.#......##..##.##.....##.##..##.##...##...##.##..#.##......#.#.#######.#######.##.#.#####.#######..#.###..#.#..##....####.##...##.#...###.#####.####.##....##############.##.#.#........###.####..####.####.########.####.##......#.##....#..###.##.#.#.#.#..#####.######......#....##.###...#.##.###.###..#.##.....#...#....##.#######......#
###..#.#....#.#.#.####.#.#.#.####.####.#####.#####.##..####..##.##.##.##.#.#############.#.#######...##....#############.#####.###.###...####.##.............#.##.#...##....######.#.#.#...##.....#.##.#.###.##.##.##.###.#.#...#.#####....######..###..#.##.#.#.########..##...##.##.#######.#.####...##.#.#.#.#######.#....#.#.###.#.##..#...##........####.#.#.#...####..............##########..#.##...#######.#.####..#.....#####.##..##########.##.###.##.##.#.##.#.#..#..##..###.##......#...##.#.#.##.....###.#....#.##...##...####.##.###.#...##.####.#....#.................####...........#.......#.######.###...##.#.##.####....#..##....###...######....####.##..#..##.#.#.#.#.#########.#.#.######.##.....##.###.#....#...#.##..#.###...###.####......#...##.###
######...#.##.#.###.#.........##..###..#.#.####....#####.#..##...#.##.#.....#.##.....#.#.#.#..##.##.######.#.####.....#....#.#####.#...###.###########.##.##.#.#..##.#####.###.##..###.#.#.###.#.##.#######..##.#..#..#.#.....#.........####.#....#####.#..#######....#...####.##..#.......######....############.......##.###############.##.#########.##......#.###..#.###########.##..#.#.##.###.#.#..####.##.#.#.#..##.#####.#.....#..###.##......####...#..####.#..####.##..####....##.#.#.###.#..#.#.#..#.####..####......#####.##..#.####...###.##.#.#....#####.#.#.#.##.#.##.###...#.#.##.##...#.###....#.###.....#.#........#########..####.#...#..###...##.#.#..##.##.##................#...#.#..#......#######....#...#####.##.###.#...#.#...#....#.######.###....#
#.##...#.###..#.##....#.#.###.###.#.##.....##.######.......#####.#.##...##.##..###.#.......##.#...#.#.##...#..#.#####.#.##...##....#.#.#.....##.###.....###############.#..#....#.##########.#.######.##..#######.#####.###.#.##.######.##.#.#######.#######..#.#..##...#..##..##.###.####.#..######.##....#.##...#.#.#.#####.#.#...############.#.#.##########.....#.##.#.#.#.#.....##.##.#..........#####............###.###...##.#.###.#......#.####.#########....#.##....#..##....#########.#...##...#.#######.##.#.######.##...#....####.########........####.#...#.#.########....#.#.#.###..#..#.######.#.......##.#####.#.###.#.##...###..##..#####.##.######.#.#.##...#.#######.##.##.#####.###.#.##.#######.##.##.###.##########...###.#.###.##########.#.##..####.##
#..###.#...##.#.###.########......#.#####.##...#...#########.....#.####.#..##.##.####.##.#..#.#.#......###.##.#.#.#...######.###############........#####.....#.###.#...##.####.###..........#####.....##.#..#.#..##........#.##.#...#..#............#.#.#.##.#.#.#####.##.##.#####.####.....##.#.####..##......#.#.#.###.#.......#..#.##.##.#........###.#.#...#.#..............##.###.##.#######.##..#....#.#.#.####.#.#.#.################.#.######............#.##.###.#.#.##..#######.##...###.#..#....##.#.........#...######.####..##.........###.########....#####.###.#######.#.###.##..#####.#......##.##.#..####..######.......###.##....######.#..#.##.......####....##..#...#.#####.##.....................#...##.###..#.#.#########.###.##.#.##.#..#.###..######
#.##...##.##..###.####.#.#.######..........###.#.###.#....######.#.#.#####..#..#.##.#######.....##.###.##.....#.#.###......#.#.#.####.#.#.######.#.#######.##.....#.###.#....##.########.#.#..##.#####..#.#.##.#.##..#.####.#.######.###############.#.#.#......####....###########.##...#.#.#....#.######.#.#.####.#####.######.###....#.##.########.#.#.....###.#.#.########.######...##.#.##....###.######.#.###............##......#......###.##.###.######.#.#.##.#...#.#####.#..........#.......####.##..###.#.###...#.##.#...##.##..##.#.#.##.....##.##..###.##..####....#.####.############....#.################.##..##..#.#.###.#.#..####.##.....##.#.########.#.##.######...#####.#.#.#..#.###.##.####.##.####.####.#.##............##.#.........#.##.......##....#
#.###.##...####...................#.#.####.#.....#...###.##.#....#.#.#.#.##.##...#..###.##..#.####.#....###.#.....#.##.#.#...#.#.#.#.............###....####..#.#.........##....#.##...######....#.####...#.#..#####.#.#.######.#.#..##...########...#.#.#####.###...#.##.#.##.##.#.#..#####.#.##...#.##...#####....##.......##...#####.#.##.#..###.....###.#.#...###.##....######....#.........#.##.#..#####.#.#####.##.#####.#######.##.###.#..........#......#.#.##.###.#..#..####.###.#.#.##.###.##.##.###.#.#####.###.#......#....###....###..##.##.#..###.#....##......##.#.#.....##.###.#..#.##.#.#..###.#.##.#.#..###.###.#.###.#.#.##.####.######.##......####........#.#.#.###.##........##############..#...#..#.#.......##########..####.#.#.####.##.##.#.##..#.##
#..####################.##.#.#.#########...#####...#.#......##.#.....#.#.##..###...##.#....#####.######.#########.#.########.........#.###.#.#.########.#.#############.#..##.#....##.###.#.##.#...#.####...##..##...###.#.##...#.##.####.#......###.#.#..#......########...#..#..#.####........###.#.######..#####..#####.#..##.##.......##.##.....###.########.##....#.##...##.######.#.#.#.######.##.....#####.#....#####....#.#.#...########.#.#.#.#.####.#.#.#.#..#...##...##....#...########...#...........###.......#.#########...#.##.###.#########.......#.##..#.#.###.#.#####.#..#.#.##...##.#.##............##.#.#.#...###........#.......##....#######.#....##.#.###......##.##.########.##..#......####.###.##...#####.....#.#.#####....###..........#.#....#####
#.##.#.#.###....###...####.###.#...#.#.###...#####.########.########.#.#.#..##.##.##..#.##..###...#.##.....#####.....##.#.####.##.#.####...######.........#.#####.......#.##..#.##.#...........###...#.####....########.......#.............#.#.##...#.##.####.######.#.###.##.##.#.##...##.#.###.......#####.#.###.##.....##..#####.####.......##.##.............###.##.#..#..#........#.###.#.......##.##.##.#....#.####...##.......#..##......###.#####....#.#.######.#.##.####.##.###.#####....#.###.#.####.##.######.##.#.........#...##.#.#.#..##.##..#.#.#.#..########.#......##.##.#.#..############.###.#####.#......###...######.#...#####....##.......#.#########.#.##.#####.........#.#.....##.############.....#....###.####.....#.####...##.###.#.#.###.#.##.#.#
#......#...####.....#..#.###...###......####.#...#.##.#.....#.#.##.#.#.#.##.##..#..##.###..##...#......#.#..#....#.#....#.#.#######.#.#######.#.#.##.####.....#.#####.#.#..##.#.#....###.#.##.##...#....######..#.#.....##.#####.##.##.######.#..###............##.......##.##.#..#.####..#####.#####.###..#......###########.####.######.#.#.#######.##.##.###.#...######.###...#.#.#.##.######.####.#..#..#....##.####...#.#..#.#.####....####..####.....#.##.####.###.#.##..#.##########.#.####.#.#...####......#.#....########.##.##.#.####.#.##.....##.#.##############....#.##.........##..###.#####.#####.#.......#.##..###.##.########.#.....##.##.##.##....#.###......#..######.######...#.###.......###...##..######.#...####.#.###....##..####################....#
######.#.###..########.....#.#.########.#.#..###...##.#####........#.#.#.#..###...##....##.###########.#.##.####.######........##...#....##.....#######.#####.#.#.....#.##.#..#.##.#.##..#.#######.###.##.##.##...#####.##.###.######..#########.....##.###.###..#######.......##.#.#....##...........#.##...#.##..#.##.#.##.......##.....#.####.##...##.#..#...#############..#.#.#.#..###.##.###......###...##.##.#....#.##########....#.##....##.###.#.##.#..##.....#.#..##...##......#.........########.######.....##.#....##..#..##.#.#.......#####....#.#.........#.#..##.############.###.#.#.#.#.........#.##.#.######.#.#.#..#..###.####.#.###.###########.....####.#.#.##..........####....##.#.#.###.#.#####..###.#.#.#..#.......###########...#...##.#.....#..####
#........#.#.###..##.###.#######.#.###....##.#.###.##.#.####.#####.#.#.#.##...###.##.####..#.###.##########.##.#.########.###.##########..####.###.#..............#.#.#.##.##.#.####..##.#.#.#######.#....#..####.#.#.#..###.#.##...##.#.....#...##.#########...##.#..##.##.##....#.##.#..##.########......#.#.#..##.#....#..#####....##.####.......#.#########.###.#.##.##...##.#.#.#.####.##..#..#.#.##.###.#..####.#.##.#.....#.#..##.#..###.##......#.#..#########...#.###.#########...##.##.#.#...............##.###.##.#....#####..#.##.####.#.....#.############...##.##.###.######...#.#.#...#.#######.#.######.#......#.#.#.##.##.#.##...####..#....#......#.#.#.####......#.##.#.#....##.#.##.###.......#.##..##...#.####...##.##..#.#.##.#.#.###.###....###...#####
##.#####.#...##..##.......###.##.......##..........#......####...#.....#..##.##.#....#.#..##..........#.#...##.###.#..#...#.....####.....##........####.#########.###.###...###.#....##..###..##.....####.##.#.#..#.#.####...#....###..#.#.#...#..#######.#####.##.##.###########....#########.#......#.##.#.#.##..#.####...#####..#######.####.###.###...##.#..#.....##....#.###########.#.###.########..#...##....######.#####...#####.##..#######.#.#######.....#.#.#.#.#...####.##...#.#..#..#.##.#.######.#.#.#..#.############....#############.#.####.#.#.#...####....##.#........###.#...###.#.#..#.#######.#...######.......##.#.......#.#....##.##...#.#.##.#.#.#.#..#.#.##.##.##########################.##.###.###.######..#..##........#.#.#.......##...#.#.....#
#####....##.###.####.##.#..#...###.##.##..#.#.#.##...##.#.#..###...###...###.#..####...#.######.#####.#...#..#.##..##.########.##..#####.#..#.####...####..........##...############..####...#######..#.#.#....#.##......###.####.....##.#.#.#.#.##..##...............#.#.###.....##..#.#.#......#.##.#.##.#.#.###....#.###.#...#######.#........##.##..#....#.######....##.#..##.#.##......#...#.#..####...##########.##..##..###.#.#...##.##.#.....#...##....#.#.....#.#.#.#.#.#...###.#.#####.###..#..##....########.###.#.####.####.#.##.....##...#.#........###...###.#######.#.###.#.....#...#...##...#.#.#...#####......#.###.##.##.#.#.##############.#########.......####.####....##.###.#.#.###...#.###.#.#...#....###.#.##.########.#.##.......#########.####.#.#.#
#.#.####.##.#.#.#.########.###..###############.####.####...#####.#####.##.#.##.##.#.######.######......#.##......##..#.###.....##.##......#####.###.#.##.#####.#.##..#....##..#.....##..###..#.#.###.......##....####.#..##.##.########.#.#####..##..##.##.##.#.####.........##.####.......###.#######.#..#####.##.#.......###...........#.#.#.############...#......##..#######.#..######.###.#.#.##.#..#..##.##.##...######.........#.##.#....#.#.##.##..##.###.#.#.#.#####.#...#.....#.#...#...#####.#..#.######.#...............#....######.#..#.#.##.###.#..##.#..####...#.###.#...#####.#.#...######...#.###.#..####.#.####.........#.#..##.###..##.######.#.##..#.#.#.#.##..#####.##..#.#.#.#...#.###.#.#.....###.#####.....#........#.#..##.#.##.....###.###.####.###
#...#.#...#.#.#....###.#.#.#.#.##.#.#....#.#.####.....#####..#....#..................####.#....#...##.#######.###.###.#...###.#.....##.#####.#.#.#.#......##....#..##.#.######...##.###.##.#.##.#.#.#####.#..##.#...#####....##..........#.##....####..######..#.######.#####.####.#..#.##.#######...####.##........#.#.###.##..#.#.###.#.###.#....#.###.###.#.#.#.##..#####.##...#.##.#.................##.##.....####.##.....##.###.##..#.########..#######..##..###.#....#####.##.#.#.#.#.#...###...######.#..#.#.#############.#...##.#........##.#.#####..##..####.#.####.......#.#..####.#####..##.#..#...#.....##..#####.#..#######.####.#..#.##.##.#.#.#.......####.#....##....##....##.#...#.###.#.#.#.#.###.##...##.##.#####################..#.#.#...#...#..###...#
###.#.###.#.#.###.##.#.....#......#.####.#.#..##..##.##.#.##.##.#.##.#.######.###.#.##.#..####...##########.####...##.###.#.#######.######.......#.#.##.#.##.#.###.##.#...##.#########.......#............#.######.##.#.####.#..#.#.###.##.####.##.###.#########.#.........####......##.##.##..#.###......#######.#.#.#.##...######.#...#.#...######.#.......###.#########......#......##########.#.#.#.###.#..###.#.....#######..#...##.####.#......####.....####.##..##.#..##.###..#.###.#.##.##...#..##.#####......###.##.......#.#..######.#.#.##.###.....####.###.........#.########......#.....##....####.#####.###.###.....##.........#####...............##.#.##....#.##.####.##..#####.#.###.#.#..........##....###..##...................######.#####...###.##.##.##
#...#.#.#...#.#.#.#..#####.######.#..##....##.#..###.#..........#.#..####.#####.#.#..#.##.##.#######.##.#.#.##...#.#...#.....#.####.#.##...###.#......########.##..##.#.#.#............#####.#######.##.#.#..#.#.#....#.###....#######..####.#..##..##.#.##..######.##.#.###.###.#.#.#..######....#########.##....#########.##......#.#.#.#.#.#..#.#.######.########.#.#.###########.#......#######.#####...##.#...#####.#.########.######.#....###.##....##.###.#..##.##.#.##..##..##########..###.###.#........#.##.#......#.##.#####.#......###.##.#########.#......#.#.#.########.#...##.#####.#..##.#.#..........#.......#.#..###.##.####..##.#.#.##.########..#.#..##.#..#....#..##.###.............####.##.##..##.###.##..#.#####.###.##.##.....##.....#####.#.#...#..#
#.#.....###.......#.##.#.#.#.##.#.##..####......##...#.##.#.#.#.#.####.......##.####...##.#....##..............###...#...###...........#######.##.##.##..##.#...##..#############.#.##.#...#.##.#.#..#..###.##.....##.......##.#.......##......###.##....###.#.###########.....#####.####.##.##.#...##.###...####...##...####..#.#.####.###.####............##..##........##.#.#.##########.........##....########...#.#...#.....#..##.......######.##.#.##..##..#####.########.#..###....#.#..##...#.....#.##.#.#.#....##.###.##.#.....####.#.##..#..#.##......##.#.#.###.#.#..........####.#...####.########.######.######.#####.##..#..##.#.##..#.######........##.##.##.#.###.#.#.##......##.########...##..#.###..###......#####..#.#############.####.#...........######
#####.#.....#.#.#...#....#...........##.####.#.####.####..#################.##...#.###....####....#.####.##.#.##...####.##.#########.###.##.....####.###......#.###.##..####.##.##########..........###.#....###.#.####.#.###..##.#.#.##########.#.#..##..##...#.#.#....#####.###.######...#.######........#..#######..#..####.#.#..##..###.###############.###....#.##.#........#.##.########.###.###.#.###.###...#.....#...#.#...#####.#.#####....##.#####.###........##...#....##.####.#.##########.#.#####.#.#####.##########.#.#.#.#....#..#######.#######.#..#######.######.##.######..###.##.#.#.#.##...#..............##....##.##.#.......#####.....#.#.##.####..##.#..##.###.#..#.#.###.......##.#..#.##..###.....##.#.......####...#.#.#...#....######.#.#.##.##.###
#.....####.##.#####.####.####.######.#.....#####.####.######.#.#.##...###.#..###.#.#...#.##..##.###############..#.#....#....##.#.##........##.###.###...####.#...####.##.#.....##.##.#.###.###.#####.###.#.##...#.#....#..##.##########.##.##.......####.###.##.#.#.##..##.#.#.#.#.##.###.#.#.#.##.##.##.###.#..#.######...#..###.######.###.#........######.######.#..##.###.#.................####..#.#.......#.##.#.####.#.#.#..##...####....##.##.#......###.#.##.#####...#.###.#.##.#.#.##.......#..###..#.##.##.##.##......#####.#.#.##.####......####.....##.......###....######..#####............###.####.##.##.#.#.##.##.##.#..##.######.##..#.#.#####..#....##..#.##...##.##.#.#...##.#.#######.######..###.#.###.#####.#...##.###.#.##.##############.#.####....#
#######.....#.#..#..#.#..###..###..#.###.#..#.#..#.#...#.##......##.#.......##.....#####.###.#####.........#..##.#########.#.........#.#.##.##.##......#.##...#.###....#....#.#.............#...##........#####.##.#.##.#.#####..#.#.#...#...#########.........#.#.####.##..#..........#............##.####...##....#.#####...##...##.#.........##.#.#...............#####.##..#.#.#####.#.##.#.##....##.###.#.#.####.###....#.###.####.##....#.##..#..####.#.#...####.#.#...#####...#....#.#.#############...#####....#...####.###.....#########...####......##.########.##...##...##.##.#.#.###.#.##.#.#.....#....####..#.#..###...####..###......#..##.#.#.....###.#.##.##..##.###.##.#.#.#.##.#...#...###.##.##...#.#...#..########..........##...#.##..#...##.#......####
###.############.##.#.##.#.####.##.#..#####.#.#.##.###......##.#.#########.#####.####.#..#.#.#.#.##.######.#.############..####.#.##.###.#..##..##.#.#.#..##.##.#.####...#.####.#####.##.######.###########..####..########.####.....###...#...........####.##..........###.#.##.#.###.######.#.##.#####.####.#####....##.##.#####.##...###.#.#########.##.####.##.#..##.###########.....#.#..#######.####...#.####.###...#.##.#....##..####.##.##.###.#....#.##.##......###########.####......##.#####.#.######..####.###......##########........#.####.#########.#.......##.#######.............###..#######.######.###.#.#.###..#...#####...#.##...##..#####.#.#...#.#..##.###...#.##.#.#.#.#..##.##.#####.#..####.#.#.#.##.......#############..###..##.#.#########.####.#
#.#.........##...............##.#....##..........#.#######.#####.#.#.#.......##...##..##.#.#.#.#.####.###.....#.##.#......##....####.##..###########.#.#.##..#..#.##.#######.####.....#..#......#........###......##.....#..#.####.#..#######.####.#.#.####.###.#.#.#.#.......##.###..........#.#...##...........##.##..........#########.######..#.#.#.#..############..###....##...#.#.##########.....###.#####.......#.######.#.####.#....#..##..##.##.#.##########.#..####.#......####.#####..........####.##.#....#...##.###.#........#.#.#.##.#....######.##.##########.#.......#######.#.#.####.##....#####.....####.#.#...##.###.....#.#####.######.....#.#.#.#.##.##.#.##.##.##.########.##.....##.....##.####.#.#.#..#######.#.##.....###.#.#.##........#...#......#
#.##.###.##..#######.#######.#..####..#####.####.#.#..##...#.###...#.#####.#####.####..#.#.#.#.#.#.#....###.#........#.#.##..#.####...####..##..#.##.#######.#.##.##..............##.###.####.##########.....#.#.#######.##.#.#.#####.........##...###.#.....##.#.#.####.###.##..####.##.##.#.#.#####..#.#.###.#....###.###.#.###....#....##.#.##.....######...#..#.####.#.####....#####.##.###.##..#.###.......##.#.##.####.###.###....#.#####.#..######.#.#..........#.##......####.#.##.#.##..##.#.#.#......##.###.######..##....##.#.##############.##...............##...###.########.######....#######.###.###.#......#.#.#..#..########.##.....##.######.###.######.##...##..#.#........##..##.##..##.#####...####.#.##....##........#####.#.#.#.##.##.#####.########.#
#..#########.....###########...##..#.##...#.#.#..#.##..#####.....#....##.#.#.#.#.#..##.#...#.#.#...####.#...#.###.#.########.###....###.#..####.#.#####......####..###.#.#.##.###.#..#...#######.#########.#.#.###.#.#................#.#######..#.######.##..#####.###...#####.##.....###..#.#.#.....###############...#...#..###.#...##.........###..#...###.##............##.#####.#..#......#####..#####.#############...#.##############.#.##.#..#.#########.##.#.#.###.#.#.#.........#..################.##.#.####.....##..####..#...##......#.#...####.#.##.#####..#.###########...........######.###.#.#..#..#####.##.#.##.##.#.........#.#####.........#####.......#.#.##.#####.##.####..##..###..........#...########.#....########..##.#.........#...#.#.##.#.#####
##..#........###.#.##........#..##.#..###.#.#.##...##.##.##..##.#####.##.#.#.#.#.#.##..###.#.....###.##.#######.#####......###########..##.#.#........#.###.###.##..####.####.#...#.##.###.............###.#.#.#...#.###.#.##.##.###.#####...##.##.#......#####.....#...#.#...#######.#####.###########.#.#...#.###########.####.#####.###.###########.##.##...###########.######.#.#...###.#.#....#..##.....#.........#.###.#..........###......#.##....#.########..#.###.#.#############.#.##.#..#.#.#..##.#.##.#.###..######.##....##.######.##.#.#####.##########.###.####..###.....#######.####.#.........##...##.....##.#.#...###########.#####.#########.#.#####.#.###.######.##...#....##..##...##.######.##.#.#....##..####........##......##.##.#####..............#
###.##.#######......##.####.###..#...##.#.###..###.##.#...##..###.#.#.#............##.##.#.#####.##..##.#.##.#...#.##.##.#........##.##.##.#.####.############...##.#.####....#####.#..#...#.##.#.#.##.....#.#.###.#...###..####..####...###.....###.####.#.#####.#.###.#####..#.#.#####....##..............#.......##.##...##.#.##.####.####....#........####.#.##.##.###.###.#......#.#...####.#...##########.#.####.........#.#####.##.##.#.#########....#....#..#####..####.#.##.........##.##.#.#.##.............#.###.#.#######..#####..#.#....##......#.#.##.#.#.#.##.#.##...#####.#.#.###......#######....#.##.#.#..#.#.#.#.##.#........###.............#.......#.#...........##.##.#.##..##..###.......######...##..##....#.#.####....#.#.###..#....########.###.#.##
#.#.#####.#.#####.#.############.###.##.#.##..##....#.###.#####.........######.#.#.............#.###.##.#.##...#....#######.#####..........#..##.....##....#.##.##..#.#..###############.#.###..#.###..###.#####.....#.....##....##.####.....##.#########.#...###.#.#...###.##.#.#.#.#...#.####.#######.###########.......#.##...#...##..##...##.######.#..#.#.#.##.#....#.#.#.######.#######....#.#.##.#####.#########.#.#.#.#####..........#.##.##.######.####.##...##..##.........##.##.#...........#..#.#.##.####.####.....##.....##.....#######.#####.#............#.........###..#.......##########.#####.#.######.##.#########....########.####.#.#.#.##.##.##.#.####.###.###.##...#.#..##..##..##.##############..#.####.#####..####.#.#.#...#########.#.#############
#.....#.#...#...###.#.##...#.##...........###..####.#.##..#.#.######.#.##......#.##.#.###.#.##...#.#.##....##.#####.##.##.#####...##.#.###...##..#########...#...##.#.#.##...##.....###############...##....##...#.###.##.######.##....##.#####.##..#.....###.....#.#.#.#......#.......#.#...#####......##...####...#.#.########.###.###.######..#......##............##..............##...####.######.........###......#######.#.####.#.###.#.##...................#####.#####.##.#.#..#..#.#.#.#.###.##.#.######.....#.####.#######..##.##.#.#.....#.#.########.#.#.#...#.##.#.#####...####.##.#.#.###........#..#.#....####..##.#####.#.............#######..#..##.#.#....##....#..##.#####.##.###.##........#.##.###.#####......###....###.###.#.###.##.##.......#....##.#
##.##...###.##.####.#.####.#....#.##.#.##..###.##.....###...#..############.##.#.####.#...#.####.#.#.#####..#######.##.#..#.....#.#..#####.#....##..#.#.####.##.###.#....###.#####.##..##.#....#.#..###..#.#########...######.#..###.#....###.#####...##.##...#.#.#########.##...#####.#.#.###.#.####.#.#..#......#.###.##.##.##.#.#.#.#.#.#####.#####.####.##.#.##.#..###.##.#####.######......##.....##.####..#..#.#.###.#.##........###...#.#..#.###.#######.#.#.#.....#.######.####.##.##########.....#.#...#..#.#.........##.#########..#.#####.....##..#.####.#####.#.#..###...######.#............#.#.##.#.##...##.##...##...########.#.#######.##......###.#..#.#.##..##.######.....##.##.##...##.#.###........#####.###.##...##.#...#...###.........##.######.#####.#
#######.###..#.##...#.#.#....##.#.##.#####........###.#.###...##...##.#.#...##.#.#....##.####.#........#.#.##..#....##.##.##########.##..######..##.#.#.#.......#...##.#.#...#.#...###.#..###.##...###..####.#.......###.#.#....##.########.........#.##.###.##.####.#......##.#.#.....#.#.##.........######.###.####...#............#.#.........#.######....###########...#####.....##....##.#..##.#.#########...######........########...#.#.##.############..#.#.##.##......#.###.....####.###.#...#.#######...#####.######..#.#.##...###...#.....###..##.....##.##.#######.#####.#........##.##.##.#.#.####.#..##.##..####..###..........#####.##...######..##.##.###.##.##.....##..#.#..#.##.###.##..#...###.##.#...##..##...#.#.####.###.#####.#.#.#.#.......#.#..##.#.#
#.......#.##......#.......#######.#...#.###.#.#######....##.#..###......###.##.#.####.##.#.##.####.###......##.####..#.##.#..#.......###..#.###.##..#.#.#######.###.##.#####.#.###.....##.#......#.#...##.##.###########...#.#.##....########.##.#.##.####.#.##.##.#.########..#.##.#.##.###..#####.####.....#....#####.########.#.#.....##.#.##......#.#.####...........#..##...##.####.#.##.#.#######.#.......#..##.###.#.##.###...#####.#.#.######.##.......##.###..#..####.......###.##....#....######.#.#..#.##..####.##..##.#.####..####.###.#.####.####.#....#....#.#...#..##.#######.##..##.#..#.#.##...#.##..###.#....#####.#.##.#.##........#.##.....##...#.#...#...##.#.####.###.##.##.#....####.##########.###..####.####...######..##.###.#.#.#.###.#.....##..#.#
#.#.###......##.#.####.####...#...##.##..#######......##....##.....##.#......#.#.#....##.#.........#...##.#.....####.#....##.#########.##...#.#.##.##......##...###..#..##.#...#.#.#.#......#.##.#####.##....#.##.#.##.###...######.##.....############.##.#.#..#.......######.#..###.##########.#####.#.#######.##.....##.......#.##.#.#############.....#....#.###.##.##.####.#####....#..#####.#.......#.#.#.####......####.#...#.......#.###.#.......##.##.#..##..###.####.#.#.#.##...####...#.###.#.#.#...######.......##....#..#.#.##.#....#####.##..#.###########.#.######............#..##..#.##.#.#..#.#.#####.######.##....#.#..#.####.#.##.#.####.#.##.#.#########.######.....##..###..##.#...##..........###.##.#.##....#.#....#.####....###.#.#.#...#.##.####.#.#
#####.###.##..#.#.#....#....#.#.#.#####.##.......#.##..##.#..##.##.#####.##.##.####.#.###########.##.#..#######.#.##.##.###..#..#.###.....#.....##..######..###.#.##.##.##.###.#.######.#.#.#.####......##.#...............#.#.........#.#...#.##.##.#.......#.####.###........#.##...#.#..###...#.#.#.####.#.##.########..####.#########..#.#........###.##.#.#.############...##....##.##.##......##.##.###.########.##.#..#############.###...#.##.##.#..##.#.####.#.###..#.#.#######.##....#.#.#.#.......#..###.#####.#..####.#.##.#.#..####..#.#...##.#.###.###.###......#...#.#.#.##.#.##.###.#########.#.#..#.##.####......#.#####.#.#....#.##.#.#.##.#..#.#.##..........#..#.##.######...##..#.#.##.#.##.######.....#.###.#.#.#.####.####.##...#.######.####..#.##.#.#
#.........#..#########.#.####.#####.#.#.#..#.#.#.#.#..########..#..#......###..##...#.#............######..#.##.#.##.##.#.##.##.......#.#.###.#..#.##.##.#.##.#.#.#..##....##.....##....#######..######..#.##.#.#.#####.#.##########.#.#####.........##.#.##.###.####...#.#.#.##..#####.##.#.###.....#..##.....###........##.....###.#.###...###.###.##...##.#####.....##.#.##.######..####.##.##.#############....##..#..##..##.###.#.....#####.####.#######..#.#.####.####...#.#..##...###.#.#####...#.#.#.####.#.#.....##...........#.##.##.##.....#........#.........##.#...#.#.###.#..####...#####.##....###.##..#.#.#..##.#####.#...#.##.#.#.##.#.#....#.##.##########.##...#####.#.######.##.##.#..###..####.#.#.#####.#.#####.#...........####.#.##.##...####........#
#####.#.#.##..##.##.####.##....#.##.#.....##.###########.....#####.##.#.#.####.##.#############.#.###.#.##.#.#........#.#.##.#..#.#.############....#.#..#.#....#.##..##.#..##.###########.#.##.##.##############.#.....###....#####.#.##.###.##.#.#....###..##..#.#..#####.#..######........#######.##.######.########.#..###.###......####.....#....###.##.##.######..........##....##....##..####..#..#..######....###.###..........#.#.#..........#.##.#..####.#.#..#.####.#.##....#.#...###.....#.###.#.#....#.#####.###.##.#.###..........#.###.###.####.####.####.####.#.#####...##.##...#.###....###.##....##.#.#.#######..#..#######..#.#.#..#.###.##..####.###.##..#..###............#..#.##.##.#######.....#.............###.#######.#...######...###....#.#.#.#.##
#.#.###########...#.#.####..##........#.#.##.##...##.#.#####.###.####.#.###....##.#.........#######.#..........##.###........##.######.##....#...##.#.##.#.####.#.###..####..#...#.#...##.......#..#..###.#.#.....##.##.##..##.......####.....#..######...#.####.....###.#######..#.######.#.........##.#.........###.#.####.....######.#.#..#####.##.#####..#.........#.####.###..##..####.##.###.##.##.#.##.#.###########.###.##.#.#####.######.#.###......###...#.##....#...#####.#####.########.##...########.........#....#####.#.########.#####.##..#......####.####.##.#####...#.##.#..#.###...##.#...##.#.##......#.##.###.#.###.#.#..##.#.#.####....##.##..........###..###.#.#.##.#####.###..##.........#.#...##.##.##.#####........####.##.###..######.###.#.#.####
#....#.#.##.##..#..........##..#.##.#.###..######....#.##.............#.####.#.##.#.#.#.#.#......#..######.##.#####...##.###.##.##.#.#.#####...####........###..#.#.##.##.##.##.##.###.########.##.#.##.#.#...#.#.##.#############.####...##########....###.#.####.#.#...#.######.....##...##.######..#.#####.###.....#####..#.####.##....#.###....#..#.....#########.##.#......##.##.##....#..#...........##.#.#......#.##.#...##.###.....##.....#.#...#.####.###....####.###.###....##...##.......#..#.#......##.#.#.##.#.##.#..##.####.##.##..##.###########.##.#....#.....###...###.#..##.##########.##.##..#.###.#.#....#.#.#.....#.#...#####.#.#.####.######.##.#.###...##...#.#.#.##.....#...##.##.#.#########.#########......##.#.######.###...#..####.######.#.#....#
##.#...........########.##.###.###..#.#...###.######......##.######.#.#.#....#..#######.#.##.#.#...#####...##.#.....#.#..##..##.##.#.#....#..####...#.###.##.##.#.#.#..##.......##..##.#.#..............#.#########...##.####......##...#.#..........##..####.#.#..#.###....#..###.##....#.######.###...#.....######.####...######.....##...#.####.#####.####.###.....##.#.##.###..##.###.#.#.#########.##.#......#.##........#..#.#...#.#..##.#.#############..#####.###....###.##################.#########.#....##############....##.#.....##.##..##.##...........##...#.#.#...###...#####.##....##.#.....##.#...###.##.#.......###.....#.##....#.#......##...########...#.#..###.#.#.##.#########..##.#.........#.###.#.####.######.#.........###.##.###......#.#######.##
##########.##.##......###...####...##.##.###.........#.##.##.##.....#.#.####.##.##.#....#.####.#.#.....###.##.##.#.#####..##.##.#....##.#...###...#.#.#......##.#.#.##.#####.##.##.##..#.#########.##.#...####..####.###.#....#.##.##.###########.##.###.#.#......##.#...##.#.##.#####.#.###..........#...#.#.#..#...#..#####......#.#.#..###.......######......##.##.##.#.##.####.#..#...#####.#.......#....#.##.#########.#.#.##.###.#.#.#######.#.#.#.##....##.....#.####..#...###.##.....####.#####.#..##########.##...#.##.####....#####..#.#..###..####.##.#.############.##########.....####.#....#.##########...#..###.##.#####.##.#..###.########.#####.##.##.###.#####.###.#.###.....#....##.##.##.##.##.##.........##....#.######.######..........##.#....#...##..#
#.#.##.#...#...###.##..#..#.#.####.##..###.##.#.######.##.##..###.#.#####.########.####.#.#....#.##.##......########.#.####...######.#########..#.#.#####.##....#.#.#..#.##..#..#...##.#.#...##....#..##.##....##.#..#...#.#######..#####..###.####....###.###############........#.#..#.#...#.##.#.#.##.####.##...#...##.##########.####.####.##.###.#.#######.#...####.######.##.##.#.#.#.......#.#.#.#.##.#.#....##......#.#..####..#.#.#.........#.#.#..##..#####.#.#.###...#.....######.#.....##...##.#.#.#....#.####......#.#####.#.#.##...##.#.#.##.#####.#.##.###.......###.#....###.#.#......#.##.##.......##.###.##..#..#...###..##...#.##.......#.##.........##.#.##....########.##.#.####..##.#...#.##.##.###.###..#.####.##.#####......#.##.##.#####.##...#..##.#
#........####.##....##...##.#......##.###..######......##.#..##...####..................######.########.#.###...#.......#.###..#.#.#.#.##.##...####.##....#..##...#.##.#..#####.##.##....##.##..#.##.##.....##......##.#...#.......##...##.#.#...##.####...##.##.##.#...#########.....#####.#####.########.#########.#..#.#.#.#.###..##.###.#######.#.............#.###....#.#.....####.####.###.####.#.#.#..####.#######.#.###.###.##.#.#.#######.#.......####.##.#........#.####.##..........#.#.####.##.....####....##..##.#.............####.........#.#.#...###..#...#.#.#.#...####...###.######.####.###.####.#..#....##.##.#.#.....####.##.###.#.#.##....####.##......##.#####.##.....#....#.#.##..#.######.##.##########...............##.#.##########.#...#.#.#####.#
#.##.#.#.##...##.#####.#######.#.#..###...##.#.####.##..###.########.##.#.###.#.#######.##.######.#...###.##..#...###.#...####...............#.##....##.#.##.#..#......##.#..##....###.#.....#########..#.#..##.#.#.######.######.#####.#......#....##.###....#...#.###.......#.#####.##....#.#.####.##.#....#.......##.............##......#.#.##....###.####.##.#.#...#.##...#.#....####.###....##..######.#.....##.....#..##.#...########.#..#..##.#.#.##.........#.##.#...##.#########.#######.#.##..#####.##...##....########.###.####.#.####.#.##.##.#...######...#.#######.#..#####.######.....##...#...##.....##.#.###.##.#.##.##.##....###.#####..####.##...##.##.###.........##.#.###.#...#######......#.#.........####.##.#.####.#.#########......#.#####.#.....#.#
#.##.#.#.###.######.#..###.....###.##...#........#..##.##...##.......####.##..####......#...........#.....######.##...##.##.####.##.#.#.###.##..##.#.##.#########.#.##.##...####.#..########.#.#.#.##..#######..#.###...####..###..##.....##.#.##.###...#####.#.###.#.#######.....#...#####.#...###...#.####.###.###..##.######.#####..#.##........##.##..###...###.###.#.####.#.#.#####.#..#..##.##.####....###.########.##..#####.#.###.##.##.#.##############.#.#.###..##.##..###.###.#.#.##.#.....#.##.###..##.############..#########..#..########.#..######.....#.######.#####.#.###.#.##.##.##.##.#.###.####.#.#..#.#....###.####...##.#..##.......####...##.##..#...##.###.##########...#.####.##...#.######.#.#.#.#.#..#.##.#....###.##.#.#....######.########.######
#.#..#####.####.##....##...###.##..##.#.#.#.##.#...##..#..#.##.#.###.......#####...######.#.######.###.#.##.##...######...#.#....##.#.#####.##.##..#.####......######...###.#######.#.##.#.....#.#..####.##..##########.#.###.....##########.#.##...###....##.#.##..#...###...###.#####.#######.#.###...#.#......#...#####.......##...########.#.#.#..#..##...#.#######.#...##.#######.#.##.#.######..#.##.#..#####.#......######......#..........#.##.#.#.#.#.#.##########..###...#.#.#.###......#.#...##.#.##....#.......##.##.##..#...##.##...##.#...##.####...#.#.###...#...#......#...........#...#.#.#...#....#.##.#.##.#######.####.##.#.#####.#.####...######..###.###...#..#.#...##..#.#.......##.##....###.#.#####...##..###.#####.........#.##.##.........##......#
#.##.#####.#..#.#..##.##.#.#....##################..#################.##.#..##...#.##########......#...#.##....###.#....#.#.######..####....##..##.#.#.#######.....#..###....##.#........#####.#...##.....##..#####...........##.##.#......#.#.#########.#.......##.##.##.######...#.##...##.#..#.##..#.....#.#.####.#####.##.#.#######.#.#....#.####.#.#########.##....#.#..#.####......#....####.####.#..####.#.....#.#.##..#...####.##.#.#####.#.................##.##...##.###.#.......######.#####.........#.#####.##.......###.###.##.####....###.#.....###.#########...#.######...##.####.#.##.####.#.#####.####..#######..###.......###.##.#..#.#....#...#.#..##.....#.####.....#####.#.##.#.#.##..##.####.######.###.########.###.#.#.####.##.......#.##.#####.#.#.##
#..###.#.#.##.#.####..##.#####.####.#......#.##.###...#.##.##.#.##....##########.#.#....##.####.#.##.#.#..#.##.#.....#.##...#.#####.###..##..####..#.#...###...###.##.....##......#.####.#..#..##.#######.###.#.#...##.##.#.#.##.##.##.#.#...###.##.#.######.#.#.......#.......###....###.##.##.#.######.##.#####.....##...#..####.##.......######....###......#...####.#.##.###.#..##.#...##..##...##....###...#############.######...#######.######.#.######.######..###.##........###.####.....#################.#.###..#####.................##.......###.....##......#####.#.###..###..##...#.#...##..###.......###...##....##.###.#.#.##..#..##.######.#.#.#...####.#.##.##...#.#....##.#.##.#.###..##........#.#.....#....##........#.#....####.###.#####......#.#.#..#
#.##........#.#.###..######....##...######..........###............#.##.#.###.#########.#..#.#########.#.########.##.###..#.........#...####..##..##.#.#.....###......######.#.#.#####.#.##.##.##..##...#.#.#.....####.##.######.##.#..#####.#........#.#....###.#.###...#####.######.#.#.#..............#..##.##.#.#.#..#.##.#.....######.####.####.#########.###......#..#.###.#############.#..#..######.###...#.##.#.#.....#.#.###...#.##..#.##.#####......#....##..##########.#.#....##..##.##.#.####.#.###......########.#########.###.#.#####.#.#.##...###########.##.#........#####..#.#.####.####.##..#.#.#.#...#######.#......#.#####...##..##.#...###.###.#.####.##.##.#.#.####.##.#.##.#...##..##.###.#.....##.##.######.#.##.##.##.#.##.#...#.....##.#.###.###.##
#######.#.#.........###.#.####.####.#......##.#.#.#...####.#.#.#.#####.........##..####.##.#.#.#....######.#.##########..###.###.#.####....##..##.########.#.##..#.#.##......#####.#............##.####.#...#####.#....#..##.##..##.##.#..##.########.#.######...####..#.#........#.#.#.#.#.#.####.#.#.######.....#####.##.#..#####...#.##.##........#.............#.##.##.###.#.#.##.......########.##.......###.#......#####.#.......#.#.###.......#.#####.#.####..##.#.#.#.##########.#########.............######.#.##.........##.#..###.####.######.##.#.#####............##.###.#..#..####.##....#.#..##.###.###.#.###.......####.#...#.#.#####.#....#######.###.......#.##.#.#.#######.#.##.#.#.##.##..######.#.#####......####.####..##.#....#.#.#######..#...#.##...#
##.#.#..#####.#.#.#.##....####.#..#...####.####.#.#.###.######.#.#############....##..#........####...#......#.#.##...##.#.####..#.#.##.##.##.#####.###.#######.##.#.####.####.......##.#.#.#.#.....##..#.####....##.#.#.##.....###.#####..###..#.#.#.#.#......#.#....#####.#####...........########.####.....#.#.##....##.######...#.......##.#.#.####.#.#.#.#.####..########......#######.#.##.#.#.##.#.#.#...#.#####.##...#.#########.......#.###...#.###.#######......#.#.#..##.#.##..#.##.....#.#.#######..##.#.....#####.###......##...#....#.#.....#.#.#.....#.#.######.####...##...##.#..#..##...##.##.#....######.####.##.#....##.##....##.######.###.##...#######.####..#.#.....#.###.####.###...##......###...####.#.###.#.....##..#.##.###.#......#####.########.#
#......####...###.#.#..##......##...####...#....#.#.#.......######.#.#..##.#...##..##.#.##.###.###..#.###.##......###.####......####.....###..##.#...#...........###.#.##########.####..###.#.##.##.###.#.##.###.#######.#####.##.....#.##.####.#.#.......####.########.#.#.#.....#.#.#.##.##....######...###.#.#.##.#.#####......#.###.#.######.#.##...###########..##...#..#####.##.####..#..#.#...##########.......#..###.....#.##.#..###.###.#...#.......##...#######.....##......##.##....###.#.###.....#.##....#.#..#.....###.#.######.####.#...##.##.###.##.##.###......#....#.###.###...#####..#.####..#.#.##.#.##.###..##.####.##..##.#.##.##...###....###...........###.#.#.###.....#....######.##..#.#.##...###.####..##...#####..#####...###.#.##...###....##....#
#.##.#.#....#..##.#.##.#..####.#..###....#.###.##.#########...#.#....##....#######......#..#...#.####.###.#######.#.#.#.#..#.##..##..#.#...##.##.###...##.###.####...#..##........##...##...#..###.........#...####.######.##########...............#.#.####....##......#.#.#.##.##.###########.##.##.###.#...#.######.##.#######.#.#...#.#...##.#########.#..##....##..#.##.#.#.#.##.#..##.##...###..##.#.#....#.###.##.#.#####........##...###.##.##.#.#.###..#.........###....#.##....#######.###########......##.#.##...#.###...#.#...#######...#.##.##.#####...#######.#.#####.#..##.#...#..##...##....##.#.#.#...........##..###..##.##..#.##....#.....##.....##.#.#.##...#.#.#.###.#.#.########.#..#..#########........#######....###.....#.#..###########.########.#.#
###..###.#.###.#############...##.#...##.#.#...##.####.##.###...####.#####..#.##.#####.#######.#.#.#......#.#.............##.##.##..##.########......######.#######.###....##.#.#.##.#.##.#.####...#####.#...#####...#.#........#.##############.#.#######.##########.#...#.####.#####.##.##.#........#...##.##.#......##.........#.##.##.###.....##.........##..#.####.#........#.##.##.....###.####..#.#...#.####.........###..#.####..#####.#######.#####...##.#.#.###.######.#####.#..##.#...............#.#.###.#.###.####...#.#####.........#.#..#..###.########...#..#.##....##.#..##.###.#..#.##.####..#.#.#.#.#.##.#.###.##...###..##.#######.#.#.###..#.#..#.#.#..###.#######...#.#....#.#.#.##.##......#.##.#.#.######.###.##...###.#.####.....##.##.#......#.###.#
#...##...###...#...##..###...#.##############.#####.#......####.#.#..#.#.##...##..#.#####.#.##.#.#.####.#.#...#.#.#.#.#.#.#..#..###.##..#.#.##..##.#.#......##.......###.#.##.#.######..###.########.....###..##.##.##.###.##.#.....###.#..#.....###...#....#.#.##.######.####.###.............##.###...#.#..##.#####.####.#.##.#.####.##.#...##.###.##.####....#####.#######.##.#.#...####.##.....###.#.##.#########.#.#.#.....##.#....##.............##.######..######..#.##....##...##....###.#.#####.###.#.###...###.###.####.#.##....###.#.#.####.#.###...........#...##.#..#.#####.##..#.####.###..##...##.#.###.#.#..#.#....##.##...##..##....###.#.#...##.##.######..##....##...#.#.#.##.......##..###.##....#.#.#..........#..#.#..####..##..###.......#.####....##.#
###.####.##..###.#....##.#######.#.###.##.#...#.......####........##.#.#.####..##...........#........##########.#########.##.##.#....##.#...#..############.##########...#..###.##.....##...#..#.....###.##..###.#...#.#.########.#.....##.####.######.####.#.#.#....#.#...##...############.#.#..#...#.#######.##......####.#..#.##...#..#.#.##...######....#.##.#...######..#......#.......####.##.....####.#.#.....#.###.#.#.#####.#..#.#.##.#.##.#.#.........#####...##....#.###########.###.####.######.####..#.##...#.......#######.##..#####....####..###.##.#####.###.##.#..##...###.#.......###########.#.###.#.########.##..#..#.#######.#.....#####.##..#########.####.##..#.#.#####..#.#.#..##.##...###########.##.###.##.##.##....#.####..##.#######.#.#######..#
#....##..#####...#.##.......#.##.#.#.#.#....###.#.##.###...#.#.##........#.###.##.#.#.###.#...#.##.#.#.#.##..#..##.#.#....#...####.#..#####.##.#..##....#...#.##.......#.##.##..######.##.#.##...##.########...#.###.#.#.##.###.#######.#..##.###...#...#.........##...###..##.##.#######....#.######.#.#.......#..##.###.#####.#..###.##.#.#.#..#####.#########..##.##.#....###.#.#.##.#.##.#.#...###.###.##.#.####.######.#.#.#.....##.##########..#########.#.##.#..#..##.#.#.#...............##..........##.##.#.#..#...##.##.#.......###.###...#.##....##.#.#..##......#.#..##..###.#.######.#.##..##.......#.#.#######.#....##.###.#..###.#..#.#.#.##.....#.####.#.#...#.##..##.#.#...######.#.##.##.##.#..#####...#####...#..#.##.##.#.##..##..###.................##.#
###.####...##..#.#.#..#.#.#......#.#.....##.##..#.#..#...#.#.#.#..#.#.##........#############.###..#......##.####......#.####..#.#.#.##........##..####.###....#####.###.##.#####.#############.#####..##.###.##.###.#.#..#.#.#.##..#...##.....####.###...#.########.#..###.......#.......#.##.##.....#.#.#.#.#.#.##..#.........######..########.#..........#..##....##.##.#.#...###..#####......#####.#.#...........##.....#########..####.#.##.#..###........#.##...###.#..################.####..#.#.##.#.#...######.#####...#####.#.#.#...#...#.#.#..#.###...##.###.#.#.#.######.##..#..##.#..#....##..#.##.####.##.#......##.####...##.#...##.###.#####.##.#.#....#...#....##.##.###.#.....##.#..#..###..##.....##.##.#.##.##.##..#.#..#..#.####...#.#.##.##.##.#########
#.....###.####.###.##.#######.##...##.#.##...##.####.#.#.#.#.########..########.##.#...........######.###....##############...##...#.###.#.##.####........###.##.....##...###...........##########.###..#.#.#..#.#.#.#.##...#.#..##.###..####.##.....######.##.......##.....#####.###.#.#.#.##..##.####.##########################.#.####......#########.##...#####.##..######.#####.##.....#.##.###.#.#.##.######.#.#########.#......##..#.#.#..####.#####.########.##.#######.#.##..........############.####.###.#.#.#.....#####...#.####.######.########...#.#....###.###.##..#####.###......####.####.######.#.......###.#####....###..#.#....##..##.....#.#.####.##.####.########...###.######.########.#..###....#.....######..#####.##.###.###.######...#..#.........#
##.####.#.##.####...####.#.#..#..#....#..#####..##.#########.#........##.........#.#.######.#.##....#...##.#................######.#..##.#.#####.########.#...#..#.#.#..#####.#########.#.#.##.......#.##.#...##.#...#..###.#.##.#......##.##..#####.........##.#.#.#####.###......##.#.#.#..#####.#....##.#.#.###.##..#..#..........##.##.#.#..#.#......###.##......##.#.#.####......#######.#....#.#.#.####.##...###.#.#.#...##########.#.#.##.###..##.####...#.#..#.............##.#########..#..####.###..........#########.#.###.#.#....##.....#.....##.#.#########...######.#.......###.##.#.##...##.#........#.##.##...#.....##.#...#####.#.###.##.##.####.#.......##.....##...##.##...##.#####.##..##.##...#.##...#.#...#.###..##...##...#.#........##.###.#.#.####.##
#..##.#...##......#.#........##.###.#.#.####.####...#.#.#.##.########.##.#.#.###...#######..#####.#...######.#.#.##.##.##.#.##.....##.####...##.............#...######.##.....#...........#..###.###...#..###.##.###.##.#..........##.#....#..###.#..##.####.##.#####.#...##..##.#..###.#.##.#...####.#.#.......#...##.##.##########.......####...####.###....######..........#########.#.....##.#.#.#.#.#.#..#######....#.##.###..##..............##.#...#####.#.#########.#.####.########.####.#.##.#..######.#.#.#.................#.###.#####.#.#.#.#..###.##........#..###.....#.#.####..##.#....#.###########.#.#..#..######.##..######....#...#.#####....####.#.#.####.##....###..###.##...........##..##.#.#.##.###.#.#.....##..#.###..#...#.#.#.####....#.#.#....####
#.##....#..##.##.##.#.##.##.######..###.#..#.#.#..#........####........#######...#..#......###.#####.###.....#.#.####..##.###..###.#..#....#####.######.#.#.#.#..###############.########.#.##.#######.##..#...#.##..##.#.#######.##..####.##.#.....######...##.##.#....#####.#####..#..#.##.###..##..#####.###...#.......##.#.##.###.##.####...#...######.##.##.....##.###.#.#.##....#.###.###..#.....#.#.##..###..####....#.#...#####.##.#.#.#.#..#.##.##.....#.###...########....###.....#.#..#.#..##.#.#.##.#.#####.#######.##.#.##.#...#.....#.###.##.....##.#.#.##.#.##...##.####.#....######.#.###.#.##......#.#####.##.....##.##......#####.####.##..#.##..###.#...##..####.##..##.#....##.#.#.#.##..###.#.#.##...#.####.###################.###....#.#.##.#########.#
#..##.#.##.#..#..##.#.##.#..##.#.##.#...##.#.#.####.######.##...#########.#.####.##...#.##.#.......###.#####.#####.#..##....##.#...#.##.##.##..#.#......#.#.#.#.##.#.##.#...##.###........#.##.##...#...##...#...#..###.###.###.###..##.........##.##......#.#..##.######......##.##...##########....####...#...#########.#....#...####..##.###.###...#....#...#####.##.##..#.#.#####...###########.##......#.##.##.#....##.#.###.#.#####..#.######....#..#####...#.##.##.####.####.#.#####.#.##.#.##...........#########.....#..###.##.##.##.#####.###..##.##.##.###..###.#########.#..#.##...######.##....#..#.##.#.#...#.##.#.#..###..#.#.##......##.....######.#...#.#..##.######..###...#.#####.#.#..##...###.#..#.######.....##.#.###.###.######...#.##.#.##...........#
#.###.#.####.###.#..#.#..##.##......##.###.#.#.#..###.......########..............###.###..#.#####.#...##....##.#....##..#.###.#####..####.##.#######.#.#.#.#.#.#.......###.#...#########.#.....###.#.#....#.#.#.##.##...#..........#####.#.##.##...######.#######.#......#.#.##..##.#..##..##.#..##.#....#.###.##.######.####.###.#.###.#..#.###.###.#######.##.#####...####....#..##.##.#.......#.#..##.#.#.##....####.#........#.#.##..#####.#.####.#.##..#..#.#.#...#.#.#...#.#....#.#.......#.####.##.##.#.#...#.##..###...##....#.#..#..#######.####..#...###...###..#..#........#####.###.#.....#.##...##.##.#.###...##.###.#########.#####.#.######.##.......#.#.#.###....##..###..#.#.....###.#.##..#.##..##.#...##.#####..#................##.####..#..###.######.##
#.#...###.##.##..##############.#.######...#.....#######.##..###.....#.##.###.##.##.....##.####....###.#####.#..####..##.#.##..####..####..#..#.#.#...############.#.#.###....#...........#.###.......##.#.#####.....###.###.##.#####.#...#.##.########....##........##.#.#.#####....#.####.##...##..#.##.#..####.........##.#.#.........##.#.......#.#..##........#######..####.##.##.##.#.#####...##..###.#.#####..######.#.#.#......######.............##.####.#.###.#.#.###.#.####.#...###.#.........###..#.###....######.#.#..##.#.#.###.#.......##.######.########..###.##########.#...#.....##.######.###########..#..###...#..........##...###......###.####.#####.##..##..##.##..######.#####.#..#.##..##..#.#.#.##.#.####...#####.#.###.#####...##.##.##........#..#
####.##......##.####.#.##....#######.#####...#.#..#.##.#####.#.##.#.##.#####...######.###..#....##......###..##......#####.#####....##....###.......#.#.......########.....#.#####.######...##..#.###..######.######.##...###########...#.#..###.####...#.##..#.#.#.#####.#.##..##.#.####.#.#..###..##########.#..####.##........##.##.###..#######.#.#.######.##.##.##....##.......#..##.####....########.....#.##.##..#.#####.#.####.###.#..##.#.######..#.##......#......#......#...###.##..#.##.#.#.##...##.######.####.#.#.#.#####.###.####.####...........#.#.##.##.#................#.##.#####..##.......##.......##.##...#.#.#.###.#.##..#.######.#..####.....#.##..##.#####..###.#..##...#..#.#.##.##.###.##.###..#.#....#.#############...#.###..####..##.####.###.#
#.....####.#..###.........##.#.#........###.##.##....#.#........########.#.#####......##..#####.#..#.##...#####.##.#...##..#..###.#..##.#.#.#######.###.#.##.##.#.#....##.##########......#####.#.######..#.#...#....####..##.......#######.##........#.#.#########.##....#.###....#.#....#.##.#########..##...####.##..##.#.########..#...###..........#.##...#..##..####....#.#.#...###..#.########.##.###.#......###...##.#..#####........########.#.##.#..######.######...####.###.#.#..####.##.###.##.###..#......#......#.#.##.#...##.##.#.###..##.########.........##.##.####.##.#.##.#..#.....#####.#.#..#####.###..#..#.#.#.#.##..#..##.#.#......##.#.####.#....##.#....##..##.....####.##.####.##.##...#..#...##.....##.#.............#.#....###....#.##.....###.###
##.#.#######.##...##.#.####......######.....######.#.....#####.#####.###.#.###...###.######.###.##.#.####.#.##..##.##.##..###.#.###########..##.....#######.........##..###.#.#...###########.#.###.#####.#.###.###.##..##.#######.##....##########.#.#.#.#.#######..###.##.#...#########......#.##..#...##..#.......##########.....#.####.#.##########.#..######..##.#....#.########...##...#..#........##########.#.##.##....##...########.##.#.#......#.##.#.#.##.###.#######...........##....##.#...##.#######.###...#.##.###.##...#.##......#...##..###.########.###.##.#..######..###########.#..##...###.##.......##.##.#####.#.#..###########.#.#.##.#...##.#.#.#####.#.##..##..##.##.......#..###..##.#.#.###.##..###..#.#.##.#.##.##.##.#.##...######..##.#####....#
#..#.##.......#.###..#.##...#.#.##......##.##.##.####.##.#......#.#............#.#...##.#.......######.......##..###...#####.....#....###...##..#####.......####.##.######......#....##.##......##...............#...##.##..#.#.##.#####..###.#.##..#.#.#.#.#.#.#.##.##..#####.####.#.####.#.#.#..##...#..#.########.##.#.#.#.####.####.##...#.##.##......##.##.##..#.#.##.###.#.#.##.#..###.##.###.####.#.##..##.........#######.#..###.#.###....######..................#.##.########.#.##..##.#####.#####.####..#...###.##.##..#..#.#..##.######.######............#...##.##.#......##...#.##....##.####.###..###.##.##...####....#.####.#.#...###.###.#..###....#.#..##...#..#####.##...#.#.#.#...#####.#..#####.#####..############.####...###.#..#...########.......####
##.#..#.###.#.#...##.##########..###.#####.##.......#.#########.#.##.#.####.#.##.#.#.##.#####.#.#.#.######.#######...#.####..###.#.####.###..#####.########.#.....###.###..######.##..#..###.########.#.##.#.###...#..#..##.........##.##..........########........#.#..##.#.####...#...#########.######.####.#.##.#.##.......#.##..##.....#...#...####.###......##.#.######..........##...#.##...###.#....###..####.####.#.#.#.####.....#.##..##........#.######.##.####........#......#.#..##..#.....#..#.......###.##...#..###.##.#.##.#####.....#.####.##.#.####.###.##..##.#.#.#.#####......##..###....#...##...##########...##.###........#..#...##.##.##..#.####.####.###.....#..###.###.###.#.....####.......##....##.#.##.##.##..###.########.#.#........#.####.###.#
##.##.#.##..#.#.######..##.#....##...#.....###.####...#.#.#####......###....##########........###....###....##.#####.###..#.##......##..###.##.#......##.##.#.#.###.....####.########...##.#####.##.#####..##########.#.######.####.#..###.#.##.####..###...##.#.#.#.####.....#.###.###.....#.............##.......#..#######......####.#.####...#.###....#####.##.....#..#########.######......###...####.#.##.......##.........#.#####......####.#.#.###.#......#..######.####.#.##.#.#.##..#####.#.###...###.###...#..####.#.######.##.#...#.#####......#..###....##..###..###.###.##.##########.##...##.##.##..###.#.#......#.#...##.#.####.##...###..#..##.##..###.#..###.#.#####.##....##..##.#.###..##..#########.#..........#.###...###.#.#####################......#
#..####.###.#.#.#.#.###.#....#.###.#.#####.#...##...#.#.......##.##.####.#.##..####.##.##.#.#.######.#.###.###.......####.#########.###.#.#.#..######.....###.###...#.#..........##.###.##.###......###...##....###.....##.##..##.#.##..###########..##.###..#####.#.########.#.#.#.#######.#####.#.#####..##.#.##...##.#..#######..#.#####.######.#.####.#.#....###.#...##.........##.#...##.#...###....#.#.##########..##.#.##....#####.#.#.#.##.###.##..##.##.###.#...##.#......#..#.#..####.....###...#.##..##..#.#.###...#.........#####.########.#.######...#.####.#.########...##............#..#.#####.###.#.......#.#.##.#.#.#########.##.#...##.##.#..#..##.....##.........#.##.#.###.#####...#.####.......##..##.#.###.#.....#.#..#....#.#.#.#.#.#......##.#####.##
##.#.##.#...###.#.......#.##.###...#.###...#.#..########.####.#..#..#....#####.#.#..#####.#.#.#............#.######.##.....##.#.....#...#.#.##........#.#..#######.#####.######.###.#....#.#.###.##...#########.#.#####.##..#####.#.###...#.#.##....##....#######..#.#......................##.######.####..#####..#......##...#.##....#.##..###.....##.....####...#####.#####.##.#.#....#.##.#.#.....##...#.#.###.#....###.###..##.......###.#....##..##.###.####.#.#.#....###.#.###.#.#.##..####.####.#.###..########.#...#.#######.#####............##########.#..##....###...####.##.##.#.##.##.#.####......##.#####.#.###.#..#####..##.....##.##.#########.##..##.##.##.##.#.######..#.##..#.##..###..##..#.##.####.##.#...#.#.#.###.##...####.#.........#.##........####
#..#.#..#.#.#...###.###....###########...###########.#.####.....###.#.##..##.....##.#.#.########.#.###.#.#...###.########.###.##.##.###.#.#.#######.#.###.##.##.####.#.###.......#..####.#.#.########.#.##........##.#.....##........####.#.#.#####..##.#..#.#.#..########.#.#.#.#.##.#.###.#...###......##..#.#..#######..###....####.#.##.##.###.#..#####..#.###.##....#.#.#############..###.##########...........##.##..##..####.###.####.##.#..##.####.###....######.#####.###...#.#.###.........######..##.###....###.############....###.###.#.####.#......#.##..#.##...#.......#.##.####.##.#.##...#.##..###.....#..#####.#..##.##..##.##..#....##..#....##.##.##..####.#..###...##..##....##...####..##.##.#.#..##.##.##.#.#...#.##.#####....###########..###.##....#
##.#...##################.###..#...##########.##...#.#.##...#.###.#.#######..#.#..........###....###########.#.#..##..##.........#..........#.#.#####.##..##....#.#......#######.##.#........#.##.##.....########.##.###.#..#####.##...##.#.#.#.##..######.....##.#..###.#######.###..#.#.....###.######.###.#.####.......##...##...........##.#.#.##..#.###.......#####.....##.#..#.......#######.##......##.#.#.#.###..##.#####....##..#....####.#####.....#####.###....#.......###.#.#...##.##.#.###......###.#.###.###..#.......##.####.#...#...#.#......#.#.##..##.#.#..#.##.#.#.####..##....#.#.##.#.#..##...###.###.##.....##....##.##...##.#.#.####.#######.##..#.##....##...#########..#.##..#######.##..#...##.##.#########.######.###.##.###.......####.###..##.#.#
#..#####.#.#.#.#..........#.##.##.##..#.#..#...###........#.#.##....#.......#####.#.###.###.####.##..##.##.....##..##....#.##.#.####.#.####.#.#...##...##..####.#.#####.##.####.......##.###.#.#.....#.#....##.......#.####..#.#######......#.#....##......###.##.#.##....#.##.....##########.##..#..............########.####.#..#.#.##.##.#.......##.....#####.#..##...#.#..#.##.###.######.###...######.#..#.#.#...#######.....#.####.###.##....##.######...#.#.#.######.#.#.#.##..####.##..#..#.#.######.##.....##.##..#####.##..#.###..##.###.##.##.#.#.#.#.##.##..#.#.##.##.#####.#..######.#.#..#.#.##.###.####.#...##.#.#####.#.....##.#####.#.##....####....##.#####.#.##.###.###.##..##..##......##..##.###.#..##......##......#.#............#.#####..#...#.#####.#
#####............#.#.#.#.##........##.#.##.###.#.####.#.#.#.#..#.#.####.###.#.....#.###.#.#.#.#..###.......#.#....###.###########.########......##########.........##...........##.#.#####.......#.#.######..###.#.#....#.##.....#.###.##.#...####.#########.........###.##..####.##........#..##.#######.####.#..#............######.#..##...##.#.######.##...####.###.##.##.#.##..#######.#.#.##.##......#.##.#.#.#.###.#...##.##.#....##..####.##.........#..............#.#.#..##..#.#.#..##.##.#........#..#.#....###..##....##.......##..#....###..#####.#.##.###.###########.......###.#...###.######..#...##...#.####.####.#..##.#.##...#.##########......##.##...##..###....#.....##.##..##..#.######.##.###.#.####.#.#..###.##...##.#.##.###.##..##.#.######....##.#
#.....###.##.##.####.###########.#....................###.#.##.#.#.##.##########.##.#.......#.####.######.##.####.#.#####.#.##.#...##.#....#.##...##.#.#.#######.#..##.#############.##....#.#.#.######.####.#...#####.##.###.##.......#..#.#.#.##..#.#.#....#######..##.###.#..######.####...##...###.....##..##...##.####.##.##.....##.#..#.######.......###.##.#......####.#.##.##.#...#.#.#.......##.#.#.####.#.#.#...#.#######.###.##..##.....#####.##.#####.###.#.#.#.###.######...#.##.##.##############.#.##.#.#.##.####.#######.#..##.###.###..##.....#..###...##......###.#.##.##.....#.###...##...####.#..#.###....#....##.####.##.#.#...#.#.#....##.#.#...#.########..##...#.########..##.#......###....###..##..#.#.##....##.##..#..#..##.##.##.........#.##..#.#
##.####....######.######.........###.##.#.#.#.##.###.###..#..#######..............####.####.#.#.#..####.########..#.##..#.#.#..###.#..###########..#.#....###.#####..###.............#######.######.#......#.#######..........#..#####.##.###.#.##.##.#...####.......##........####....#....#..##.##.###.#.#..###.#.####.....#####.##.#########.#.########.#.#......##.#####.....#.##.###.#.#.#####.#.#..#.#.#....#######.#####.#....##.#..##..#####.....##.#.....#...#.#.####...##..##.##########.##.##..###...#.####.#..#.#....##......####..##..##..#####.#.#.#####.########.#.###.##..##.##.#.#...#####.###.########...##.#.##.####.....#.#####.......#.##..#.#.#.#####......##..#.#...#.#..##.#..#.#.#######.###...###.##.#.##.#.###.###.#.###.##..####.############.####
######..####...##.#.##.##################.#.#.#..##..#.#.########.#..##.#.#.##.#####...#........##.......#..##.##.#..##.#.#.#.##.#.##.##.##.#..###.#.####......#....#######.####.##.##....#..#........##.#...........#.##.###.#.####....#####...##.##.##############.######.##.##.#########.##....##..##########..###.#########..###..#.#.###......#.###.....#.##.#..###.#...#.#............#.#..#..#.####.######..##...#..#......################.#####..#######.##.####.##.#.#..##..#.#.##........#.###.#.#######.#####...##.#..###.#.##..########..##.....#.####..####.#...........##.#####..####.###....##...##.#.####.##.#.#..#.#####.##.##....#.###.#.#..##.#.#.....######..#.####.###.#.##..######...##......#.#...#########.#.##...#######...##.........#####...#.#.##
#......##..###............#.###........##.######.###.#.###.#.#.#....#########..#...############.###.####.##.......#.##..#.#.#.#........#.##...##........######.####.##...#######.##.##.##...##.###.#.######.#.#.##.#.###..#...#.#....##.#.....#..#..#.##.#...#....#..#.##.####.##.#..##.....#..##....##...##.....##....######...#####.#.....######.#.#.###.#...##.#####..##################...##.#.####....#..###.#####.##.####.###....#.#######.#.#..######.......###....##...#.####.###.###.#####..........#.#.##..##...#.####.##########...#.#.########.#######..##..#.#####.##########.##..##....#.####.####.#.....#...#..####.........####..#.##.###.#.#.##..#.##.####..#...####...........##.....##.#####.#.#####.####.##.#.###..##.##.....#.###..#.#.#.#.......###....#
#.###.####.....##.##.#.##.#.....##.###......##.###.###..#........#.##.##.#.#..####..###.#######.#.#####...#.###.#...###.#.....########.#.####..####.#.#....#...####.#..#..##.....##..#####.#########.#..##..#.########...###.##.##.#.##.#.#.#.##.##.#.##.###.####.#.##.#..##......##.#..##.###.#####.####....#######.#......###.##.#..#.#.#...##.....#.....##.###.###.##........##.##..##...#......#..###.###.......##......##....#.##.....##......#.##.##.####.####...#.####.####.##.###..######...##.#.#.#......##.###.####....##.........#................###.##.###.#.##.....######.......####.#...##...#......###...#.#.##....#.#.###...##.####..#...#.#..##.#.#..#####...#.#.####.###.#.#..#.##.#####.....#...##..........#...##..#....#.#.#...##.#.#.#.##.#.##.##..#.##
###...##...##.###..###.#....##########.#.#.##..###.####...##.#.#.#.#..#....#######.##...........#.##....#...##..#.#...#...#.#.....##.#...#.###..########.#...#........###....#.#.###..#.#....##......##....##.#...#.#..#..####..##.#..##########.##............#.....#.##.####.##.##.#######.###..........#.###....########.###..#.##########.######.###.#.#..##..#...#########.#...##.#..#.##.#.#...##...#...##.####..#.##....##.#######.##..#.##..............#....#.###..###.........##.#.#..##.###.#.#.##.#.#.....######..##..###.####.##.#.###.######.###.............#######......##.##.#....#.###################.#.###..####.#.#...######.###.##.####.#####.#.##.....#.#....##....#####.##..#.....#####.#.#..###.#.####...####.####.##.#.##.##..###.#..###..#..##.#..#
##..#..###.####...########.##........#.######.##...#..##.##..#.#.#.##.###.##.#.#...#..#.###.###....####.#######.#####...#########..#.###...#.#.##..##....##.####.##.#.#.##.#.#.#.#...##...#.####.##.########..###.....###..###.######.####.#.#.#.##.#.#.#.####.#.###.......##..#..#..#.##.#......#.#.###.####.####....####..#.##...#.#.#..###............###.########..###........#......##.####.#.#.####.###.#..#....######.#..#.##.##......##.#..##.#.####.####.#.##.####.....#.##.##..#.#.#.##..#...##############.#.#.#..######...#....#######..#........###.#.#######.#...##..#.##.##..####.#.#.#.##................#...##..##..####.##..........##.#....##....#.##.#####.#.####..##.....#.##.###.#.#####..#.#.###..#...##.#....#....#..#.#..#..##..##.##.###############
#..##.##.###.###.##..#......########.####.##...###.#.##...##.#.#####...##..#.#.###...#############......##......##....#..#.#.##.##.......#......##..######..##...####.#.####.#######.#..#.#...#######.#.#####.#...#.#..##.##...#......#.#.........##########.#.#####.####.#######.##...##...#.########...#.#....#####....##.#.####.#.#.#.##.####.#.##.#.##...#........##.#####.#.###.##.##...##..#.#.#.#########.####.#......##.###.....##.#.########.####...##...#.#..#.###.#.##.#..###..........#######.#.##.##.##........##......#.#.#.##.#.....####.##.#.#...#.##....#.#.#....##.#..###....#.#####.###.##.#.##.##.##.##.###.##..##....###.#.##.##.##.##.#.##.#.##..###.....#....##..#.#.######..#######....#######..######..####.#.##.##############.##.##.......#.#.#.###
#.#####...#....#####.######.##........##...###........#.#########.#..#.###.........#.#.#.......####.###########.#####.#.##.........##.##.#.####.##.###.....##..#.#.####.......##.....##.#.###.#.#...........#######.#.##..#..#.#####.##...##.##.#..#.#.#.#.#....##.###....##.##......#....#######.######.#.####...##..##.............#...........#.##.###########.###.##.#######.#...#...###..#.##.###...#...#.#########.#.###..##..###.##.###.#.......##..#..##.##.####.....#.#..##.#...#.#.######.#.##....##.#.....##.#.#..####.#.#.#.###..#####.#....#..#.##.########.....##.#.#####...###.####.........##.#.##.####...#.##...##..######.######.##..###..#.#..#..##.######.##.####..##.#......##....###..##...#.#.##......##...##.#..#......###.....###...#.#.###.........#
#.#..#..#...#.###....##.###.########.##..#..###.###.######.##.......##..##.#.#.#.#.#.#...#.###......##..........#.....#..#######.#..#########.#.#..#.###########.#...##.####.####.##.##.#...###...#.#.#.#.#..#.####.#..#.#######...#.####.########.#.#...#.##.#.....#####.##..##.#.#.##.#######.#..#.#.###.#.####....######.#.#.#.##...#####.#.###.##.#...........#.#............##.##.#.#...##.########.###........###..#.####..######..#####.###.##.##..###########....###.#.#######.#.#.#####.........##......#.#.##.######.##.###.######.......#.#####.######.#......#.####.###.....#.#....#######.###.#..#.##.#....#####..#..#####......#.#.#..##...##.#.##.#.#####.####.#...#.##..#.#.##.#..###.##.##..###......##.###..##.#####.###.#.#.....#.###########...###.#####.#
#.##.##.###.#...####......###........######.#.###...##.#....###########....#.#.#############.##.#.#########.#.###.#####.##.......#.##....##.....##.#.##.......######....##......####.##.#.###...#####.######........#.####.##.####.###....#..........###.#.##.####.##.##..#..#############..#.#.##.#.#..##......#######.....############.....#.##...##########.#.##...#.#.#.#.#.#####..#.#.#..###............##.###.....####....##......##.........#..#######.#.#.##..#####..#.##...########...###.#.#.###..##.#.###.#..#.........##..#......##.########.####.###.#####.#####.####..##.######.##.#######...##.#########...###.##.####...##.#.......####.##..####.#...###.#....#.#.#....##.###..##...###.....###..#.##..#...#.##...##.....#####.##.######.#.##.##.#########.###
###...#...###.####.######.##..##.###.#.##.#.....#.#..#.####.#.#.##......##.#.#.##.###.###.#.....#.##........#.#####.##..##.###.#.######.##..#.#.......####.##..##.##.#.#####.#####...#..#.########.#####.#.#.#.##.###..###.........######.########.#.......##.#....##..##.##..#.####.....##.....#..#.##..###.##...###...##.###.#.##.##...#.#.#.###.##..........####.#.###.#.#.#..##...##.#.##...#####.##.#.#.####...#.#..##..#.####.#.#..##.######.##.#..#.#.........##.....##.#..#.....#.##.#..###########.#..####..#.###.###.##..#########.####.............#..........###.......##.....##..##.....##..######...#.....###...##.##...#.##.#.##.#.##.....##.##...##.##.....##.###.##.#..#...#.##..#####.#.#.##..##..#.###.##..##.##..#.#...########.#..........####..###.#...#
#####.##.##....##..###.......#####........####.#####.#.###.........#.##.#..#.#.#...#......#.###.#.####.#.######.##.....##..#...#.###.......####.##.##.#..#####.....######.####.....####.#.#..##..............####..##.##...#.#.###.#.##...#........##.#.##.##.##.#..##.#...##.#..#.#####....#.#.##.#.###..##.####.....#.#..##..........#.#.#.###.#########.#.####...#.##..#.###.####.##..#.#..#.#.....##.#.#.#....#.####.##.#####.###########......##.##...#####.#.#..#####..####.##.##...#..##...#.#....#########..##.#...#....#######......#....##.#.#.#.##...##.#.##.##...#.##.####.#.####..#####.#..###.#####.#####...##.#######.##.##.###..#.###.##.#..##.#..#.#..#.#.#....####.#.##.#######.....#########.##.##...#.##.###..######.#......##....##.########.##.......###
#.#....#.#####.##.##.####.#.###.#########.......##.......#.#.#.#.###..########.###...####.#######.#.######...#.....##.########.#.#...##.####....##.##.#.####...#.#..####...#######.##...#.##..##.##############.#.##...#########.#....#######.####.#..#.#...#######.##.##.##..##.#.#..#########......#.#.#####....########..##.#########.#.#.##..#######...#.#..##.##..######...##.#####.#.##.###.#.#.####.######.#.#....####.#....#.###.#.##.##.#.#####.#.....#.#.#.##..######....######...##..#.....##.#.##.##...##..#.#####.##.......#.#.###.#.##.#######..#..########..#.#.#..#.##.#...#####.......##...#.#.........###...##.....#...####..##...###..##.####.####.####.#.##..##..###.....#.#########..##.#...#.##.#.#.##...##...#.#..###.######.#######..........#.#.#...#
#.####.###.#.#.#........######............#.###..#####.###########...##...#.####...#.#.........####.#.#.#..#...########.#.#.####.#.#.####.###.#.##.#..#..#.########..#.###...##.#############..####........##.#.########....#....####.##.##.###....#.##.###..##...........###.##...#.##.#.##.####.##......#.#..#.##........#####.........#.#..##...##..##.#####.#..##.####.####....###.#.####.#...###...##.#......#.#.####.##...##.#..#.....######..##...#.#.#...#.#.###......###.##...########.#.#.#.##.#.......###..##..##...#..#.#.#.#####.#.#.########...#####........##.#.#.##....#.###.#####.###..#.#...##.##.#.#...##.#####.#.##.##....##..#.#...#####.##.##....##..#..#.####...##.####.#.#.......##....######.###.##.#..#.#...##...#.##.#....#.###..#.##.#.###.#######
#.##....#......#####.##.####.############.######.........##.#.#..########....#####.#####.#####...#......#####.########...........#####.#......###..##...##..##....##.#.#.##.###...####.#.#....###.#######.##.....#.#.######.##.#............####.#.#.#######.########.#.#...#.####.................###.##.#.#########.#.##..#.###.#.#.##.#.#######.###.....##.....######........##.#.....###..#.###...#..######.#.#.###.......####.##.#####.###....#########.##.##.#.#.###.##......###...####.#########..#####.#...#####.####.##.#########......#..##..#.#####.#.###.##.#..###.#.#..#.#####....#...#...######.....###.#.#.#..##.#..#.#...##.#.#..##.#.#.##........#.##..##.#.########.###....#.#.#.###.#######......#...#.##.#.##########.##......#.##.#.##.#############.####
#....##...####..#.##.#..#.#....#.#....#.#.##.....#.####.##..#.#.###.##....##.#.#.#####.####.####...#.#.####...#....##..#.#.#.##.###.##...#.##.#...####.####..####........#..##..#..##..#.####.#.#.##.#.......#.#.....#.##....######.#######......#####...........###..#.#.#.....##########.#.##.#.##...##.............#.#..##..######.#..####.#.##.#.####.##..#.#.##.....#.#.#.##..###.#.#.##.#...########......###.########.####......#........##.##........#..##.#.#.#...#..#######..#......#......###.......#.###.#.#.##...####.#.####..##.########...............##.#.###..#.#.##..##...##...#.###.#.#....##.##...#.######..#.#####.#####.#.##..##########.#.##..#.###.#.....##.#.##..##.........####..#...##.#.##.##.####......##.....##.#.#.#..#.#.......##.##.##......#
####..#####.###....#.##...####.....##.#...####.#####.#...##.#.#.##..##.##.#.......#....#.........#.###..#.########.#..##.#.#.#..#....###.##########.##.##.##.##.########.##.######..##.#.#.#....#.#..#############.#...###.#..#.....#.......##.####.###########.##.#########.##.......###..########..#.#..#.#######.#.#.######.#......##.##...........#######.#.#.#####.####.#.#..##...#.#....##.####..#.#####.##...#......####...####.#.#.##.#.####..#.#.#.##.##..###...####.##......##.#.##...#.##.....#####.#.###......#.###.......#.########.#.##..#.#.####.##.#..###.#...##.#####..########.#.##....##.#.#...##.##..#.####.#..##.#.#.....#..##.#..........#.##.##.#...#.#.#.#....###..#.#.#.#.#..#.##...#..#.###...#..####.#######.#.##..#.#.##.#.##.######........#.#.##
#....####.....##.#...####...#########...#.#.#####.#..###....#.#.###.#############.####.####.#.##.#.####.....##.......##..#.####.####.....###.##.##......#.##.##.###............#.##......#.####.#.##.##.##.##.#.######.#.####.###.#########..###...................###.#.#.##########.....####..####.####.#.#.......###.#........#.#.##...#######.###....##...#.#.#.....#.#######..##.#######.##.##.##.#..###..####.####.#.##.######.....#.##.#..##..##.#.#.######.#...#.#.....##.#.#.#..###..#.#..##.##.##....###.###.#.############.#.#.##.##....#..##.#.##...#..##.#...##.##...##...##........####.#.##..#.###.#..#..##........###...###.###.#############.####...#.#.#.#.###.##.###...####.#.####...##.###.##..###.##.##.........##.#.#####.#.##.......##.###.###.#.#.#..#
#######.####.##..##.##.####.#.#.#.##..###.#.......##.####.#...#.#.#.#.##.###................#.##.#.#....#.#....#####..##.#.#....#..#####.#......######.##.#...#.#.####.##.#.##......####...#.#..............#.....................##........#####.##########.#.###.......#.###.#......#.#.#..#.##..####...#.#######.##########.###.########...#.####..##....#.###########.#.#.#.##..###........#.##..#...##.####....######......##.###.###..#.#.####.##.###.#....####.##.#.#.#.##.######.########.##..#..##.##.#.......###.#.......#.........###.#...###.#..##.######.#.#.#...#.######.####.##.###....#.###.#.##..#.##.##..#.#.#.##...#.##...####........#.##.##...###.###.#...#######..#...####....###..####..###..##..###..#.#.##.###.#....####.###.##.#........#####.#.##.#
#.#.#....###....######...............############......######.............#..###.#.########.###..#.####.#.##.#.#.....#############..#....##.#.#...#.....#.###.#.....####..###..#.#.##.####.....##.#########...#######.#.##.##.###.#..###.#.###.#####.##.##.######..#.#.#...#.....#.#.##.#.##....##.##...#.#.#.......#....#.#....##.#...##.###........####.#######..................######.#.#.######...#.#..######.##...#..####........#...##.#.#.....########.#..#.###..#.#.#######.#.###.#.#.######.#.######.###.#.#.##....#.###...###.#.#.....#.#.##..##.#..#......#.#.##.##.##.....#.....######.#.#..##.#..##.#.#..#######.#..##.##.#..#.#....##.#.#.......##.###..#...##.#######..##.#...##.#.#####.##...##.##..#.##...####.##...#.##.#..##...##..#.##.#.###....####.##.#
#...####.....#.###.#.#######.#.#.#.###...#.###....###.##.#.###.#.##.#.###.##.########.......########....#.##.#.##.#.##..#........##...###########.#####.#.#.#.##.##...##.##...######.....###.#..####........######.####.##..##########...###.#.#.##.........##....########...##.#######.#.#..##..#.#..#######.#.#.#.####.....##.##.###..#.#.##.#####.#....##.##...#.###.#.#.####.####...###.#...##.###.#...##....###..#...###...##.#.#.#.#..#############.##.####.......######...#.....##..........##########..#...#.#..###.##########...#####.#.######.###########.#.###.#...#.#..#.#.#.##.##......####.#..#.##########.##.#..##.#..#####.####.#..######.####..#...#.####..###..##...##..#.#..#.#.....#.#..#..#.##.#######...####..#.#######.####..#.##.##.#...#.##....#..###
#.########.######....##...######.####..#.....#######...........#.##.#.#......#..#.#.##.##.#.#...######.##.#..##########...#.##.#....#####....#...................#..#.....##.###..######.....#.##....##.##.##.........#######....#.##..###..........###.#.#..###.##.#......######.####..####..##.#.#####.####.############.#.####..####...#.####.....######.....#.###...#.#.#....##...#.....#.#.#......##.######..######.##...###..#.#.#.##.##.#.##...........#...##.#.##....###.###.#....#.#.####.#.#.#.##...###.#####..##.#.##.......#.##....#.##.....#.#.....#####...####.##.##.#.#.#.#..#####.#..#.####.#.#...............###.##.#.#.#..#.########....##...##.#.#.#.###...##.#..#..##.#.#.##.##.##.####.##....###.##....#....#.##..##..##...##.##.#...#.#.######.#########
#...#..########.####.####.#.#.#..##...###.##.........###.#.#.#.###..#.#.#.##.##......##########..#.....#####.#..........#.###..####.##..##.#...######.##.#####.#.##.##.#.#####.##........#.#.#..##.#.##.#..########.####.##.####.#.###.#####.###.######.####.....##.###.#.##.......#.####....###.#.#.#....#.#.####.##..#...#..##..##.####.#.#.###.##.##.....##.##...##.##.#.####.#..####.#.##.#.##.##.##...##.###.#.##.####.#.##..##.#.#.##.#....######.#####.#############.##.#.##..#.###########.#........###...#.##..#####....#.#.#.###..##.#.#..#.#...#####.#.##..####.#.##..#.#.#.####.#.....##.#...##.#####.##.#######.###..#..#.....##..#.#.#.###.##..#.##.#####.....###....###.##.#####..#...#..##..###.#......####.##.###..##....##..#..#..###.#####......#...#.#...#
###...##.##..#...#.#.#..........##..#.#....#######.#..##.###.#.#...##.##############....########.##.#.##.....#.#.#.####.########.######.####.###......#..###...#..#.#..#.####...####.##.##.#.#####.#######.#.........##.....#....#.#.###.###...###......#....#.#.#..##..#.####.###....#########........##...###.#...##.###.##..####.............####.#..###.#...##.##..#..#.##...####....#..##############........#.#.......#.###.#..###########....#...#..#....#................#######.....#.....###.##.#.#...#....#####.#..##.#####.#...##..#.##.####.##..........##.......##.#.#.####.######.##....###..#..#####.##........####.###.##..##...........##.##.#....#####.#...####.##..##..#..##.#.###.##..##.#.#.##.#...##.##..##.###.#.##..##.##.##.......#.#.#.####.....###
#...#.....##.###.#.....#####.#.##..#####.#####.....##..#.#...#.##.######.##........##.###.#.#.#.....######.#.###.#.#.######.###...........#..###########.#...#.##.####.#..##..#......####..#..##.####.##.######.####.##.###.####.#.#.#.....###########.#####.#.#.##....##..##..#...##.#.#.#.#...#.##.#####.###..###.#.......##.#....######.####......#.######.###...##.##.#.####.#....####.###.##...##...####.#.#.....##.#.####...##..#.##.#.#.#.##...####.####.#####.########.#......######.###.#..##.#..#####.#.#.####.....##..##.#..###..##.###..##....#########.######.#.##..#.#.#............##.#...#####...#....####.#.###################.##.#.##.##.####.##...##..##.###...###..##...###.#...###..##....#..#.#####..##.##....#.#####.##..#.#..#.#.#.#.#.#....#.#.#..##
#######.#..........##.######.#..##.##.....##.#.#.#####.#.########.##......########..........#.##.#.###.#############.#.##.#.....#.#.#.#.#...##.########..###.#.#.....###.####.#.##.#.#.###.#.###.###......#.....#.....####..##.....#.####.####.#.#......###..#.#.#..#.########.##.###.#.......#.#######..#.#.##.###.###.###.#########......##...#.##.#.#........##.##..#..#.#....#.##..##..#....#.#....#..#...#######.##.#.#....#..##.#..........#..#.#...............##.##..#.######.#...#....####....##..##...#.#.##.###.#..####....####.#######.####.###.#.......##.....#.#..##.########.##.#.###.##.####.###.########..#..##..##.#...........#######.##..###.#..#####.##.##..#.#...####.###..##.#####.##.##.##.#.....########.########....#.#####.#.#####.#.#.#.####.##..#
#.......##.######.##..#......#.##..#..##.##....#.#.....#######.....##.#.#..#.#.#.##.####.##...######.#.#.#####..#.#....##.#####.###########.#...........##...#.##.#.##......###.#..###.....###.......#.##.####.###.##.##.##.###.##....#.#.##.....########...#######.#.#........####.#.#.####.######.#.##.#.#.#...........##..####.##..#.#.####.##.##.######.#.###..##.###.#.#.##.#.#..##..###.#.#########...#.#........###.####.##.#..#####.##.#.##.#.###.##.#.#.######...##.#####..#.###.####.#############..###.#.##.....####.#####.#....##......#....##....####.##..#.#.#.##..#######....####.##..####.........###.#...##.####.##...##.##.###.#........##...####.##....##..##.#.##.##......#.##..##.....###...#.#.#.#........#####.#..##.#.#.#.#...#..#.####.###...##.#..##
#############.#...########.#.#####.#.#######.#.#.###.#.#.......##.########...#.#.#####...####.#..###.#.#.#.#.##.....##.##.##....####.#.##...###.###.#.#.####.####.#######.###...##.#...#.#..############.......#.###.....#......#####.#.#.######......#######.#.....###.#.##.#.#....#.#.####...##..........#.#######.##.###.##.#.....##.#...####..##.##.###.#.#...###.#...#.#.#..####.#####.###.##.##.....#.#.#.#.####.#...##...##.##.##....##.###..###.####.###.#####..#.....##.##...#......#.#.##.####.####..##.#.#..###.#....#.....#.##..##.##.##.##..##.###.....##.#.###.##.####.#.####.#.....##.#.########.#.....###.##..##.....######...#####.#.#.#..#.#.##...#####.#..##..#.##..###.#.##..#.#######...##.##.#.#.###.#######......##..#.#...###.##.....##...#.#..#.##..#
#.....##........#.#.####...#####.#.####.#.#..######..#.#.#.##.###.##.#.#.#.#...........###....#.##.....#......#####.#.....#######.#.......#.#...#...#.#.#.....#.#####.######..#.#..#######.##...###...######.###.#...###...#.##.#..........##.#######...#####.###.#.########.######...###....#.###########...........#....###..###.#.##.#.#.#....##..#......####.##.####.#######...####.#...........####.##.#.###.#....###.####.##.#######.##...###.##...#.#######.....##.##.##...###.#.####.....#............##..#.####...##.#...###.#.#..###########..##..##..##.##..#.#....###...........##.#.##..#..........##.##......##..###.#####.#..#.#.....#.#.#.##.#..##.##.....##..#.##..##...#.#.##.####.......#.##..#.#.#####.........#.#.##..##.#.#.#...#..#.#.#..#.#.####.##.##
#.#.#..##.##.##.###...#..####......#........###.#.#.##.###..###...#......######.#.##.######.#...######.######..##...#####..##..#..##.#.#.#####.##.#.#.#.####.##.###.#.#..##..##.#.##.......##.#...###........#...######..#.#..####.####.##............#...........#.#....#...#..#...#..#########.###.##....###.#.##.###.######.....#.##.#.######..##.#.##.#.##...##.##.#######.##.##......#########.##....######..##.#.#...#....#...##.....###.##....###...###.############.....#.....##########...#####.####.##.#####...#.#####.##...#.##...##..##.###..#####.##..###.#####.###..##.##.#.#.##.#.#..####.#.#.##.##.###.#.#.#..##...#.......##.##.##.########.#.##...#####.##.##.#..####.####.#.....##.##.#.#####.#.#.....##.#####.##.#..##.##.###.##.##.######.####..#####...#
######.##############.######..##.#.#.#.#.#.##.....####################.#..#.##########....#####....#..........##..#.#.#.##.###.##....###.##....##.#.#####....#..#...#.##....###.#####.#######.###.#.############.#.##.#.##.##.#..####....###.##.##.#.#####.##.#.#.#.##.#.######...####...####.#.......######...#.#....#####..#.#.######.###......#######..#.#..###.....##.#.#...######.##.#......##.#..##..##....#########.##.#.#.#.#..#####.######.######.#.#.#.##..##.#############..#.........####.....##...#.##..#.#.#.#.....##.#.###..#####..#.#.####.##..###...####.#....##.##..###.#.#..#.##.##...#.#.#..####.###.#.##.#######.##.###...#######.......#..#.###......#.##.##.##......###.#.#######.#.#####.####.##.##.....#..###.#########..#..##......#....##....##.###
##.#....##.....##.##.........##..#####.#.#.######.##.###.##.#..###.#...##......#.##.###.#..#....##.###.##.###..######.#.#.......##.#.#######.#..######.########.###....###.##.#####.####......#.............#.#.........##.#..##......#.##....#########.....###.#.######.#.##.#.###....#......##.####.##.##..#.#.######...##.#####........##.#.#.##......#####...####.##..#.###.##.#....###.#.##......####..##.#.#..###.#..##.#.########.##...##.####..........#..##.##.#.#.##.#....##...##.##.###....#.#.####.#.###...#.###.#.####.######.##..##...........#.##...###......#.###############.#####.##.#.#.####.#.#......#.##..##.....#....##.##.....###.#.####.#..##.##.#.#.####..##.#.##...#.#..##.#...#...##....##.##.#..#.###.##......#.##...###..##.##.##.####..#.##....#
#....##....###.##....##.#.##..##..##...#.#.#................#.##.....#####.#.#.......#####.######......####...##.#.#......#####..#####.##.#######...............#.###.##.###..##.........#.#.##.####.###.##.....#.#.#.#..####.#..#.##.#.###.####.#....###.####..#####.#.........#...##.###.##....##...#.....##.#.##.....#..#.##.####.##.###..###.####.##.#.#...###.#.....##.#.#.#..##################.##...#####.##..#....#######..#.#....#.#.#..#..##########.#.##..............##....#.##.##.#...##.#.###....###.#.#.#.#...#.#....#......###....#.##.##.#...##.#.##..###.##.#..#.##.........##....#..#.#.##...#...##.#.#..##..##.#####.###..######.....#....#.#.########.#...##.##..#..##.##.##..#.##.###.######.##..###.##..##.##.##.#....###.#.##.##.#####...###.#..#.#.##
#.######.#.##.....#.###.#.#..#########.#######.#.##########.#.#####.##..##########.#.#.#......#...#.##.#....#....#.###.##.#.....###.............#######.###.###...#......####.#########################..###.#.############.####.#..#####.####...####........#.##.......######.####.##.#....##.#..###...#.#.#..####.#.####.......##########.######.#####.#.###.#...###.#......#.##.##.#.#.##.##.......####.##.....##...##.##.#.###.#.####.###.##.#.##.#.............#.##.##.########.#.###...#####.#..#.#####.###..#.###.##.##.#.#####.#.###.################.#..#.##.###...#.##...#..#.###.#.##.##.#.####.##.#.###..###.#.##..##..##......####.#....##.###.###.####.#.....##.###.###.##..#..#####...##.##.......#####.##..##.###.#..##.###.####.#....#......#.#...#.##.#.#..#
#.###.###############...#.##..##.......#..#.######.......##.#.#.#######..##.#.##...#...######.###.#########.####....###########...###.#.##.####.#.#.#####....####.##.###.#.....#.##.#.########......#.####.#####.#.#.#.........#.#####.##..#...#......##.##.###############.#..##....#####.##..#######.##.#.##.##.###.#....#.##.##..##.##.####.###..##.###.###.###.#...##.#.#.......#........#..###.#..###.##.#.#.#..#.#..##..........#....#............####.##.#.#.#.##..#######....###...#.#.....##.#.#.......##....##.#####.####....#####.#####.#.##.##....##.#.####...#.#.####...####...#.#..##.#.#....###########...#..##.#########.#.####...#.###.##....###......##.##..#...#....#.#######.##.########.#########.###..###.###.##..######...##.####.########.##.#..#.##.#
###.#.#.####.#.###.#..#.#####..##########...#......#.#.#......#.#.##.#..##.......#####.....#...######.#.###.#....##...#..#.##...#.....#######.......#..#######.......#...#####.#.#.......#.#.######.#.#.##..#.##.......##.#.##...##.#...##.#.#.#.####.#..##..##.....####......#####.##.....###.##......#..######..##..####.#.#...##....##.##...#.#.##..##..#.####....#.#..#.#.#.###...#.####...###..#.##....#.#.####.#.#.##..#.##.#.#...##...#.###.####.####.#..#.#.#.#..##.....####...###.#.#.##.#########.#.#..#.#.#####.##..##.#.#####............#...###.##..#.#.#..#.#.#.#....#..##..#.#.##.##.#.##.#.#...........###.###...##......###....#.###...###.#..####.##.##.##.###.###.#.#.#.#.#.#.##...######.......##....##......##..##....#.###.##.##........#.###..##.####.#
##.......#.....#.#.######...######........#...#.##.######.###.....##.#.##..#.#.###..#..#.#.###.#.##.#.#.#.#####.#####.##.#....#.#.#.#.##..#...#.###.##..##.#.#.#.##.####.#.##......#.#.#.....#...........##......#.##.#######..###..###.#....######...#.##..#######....##.#.###..##..#####.#...#..####.#.####.###..#.###########.#####..#..###.....###.###....##..##.###.##.#.###...#.##########.##.#.##.#.##.#.##...#######.#.#..####.##..#########....#....##.#####.#########......#...#.#.####.##........#.#.##.###........##....##....##.#######.###.....##.####...##.######.#.#.####.#.#.##.####.#..#.##.####.##.##...#...#.#####.######.#####...#...###.##.....###..#..##..#...#.#.........##.#...##...#####..#.#.##..#.##..#.####.#.....###..##.#.##.#.....##.##..##..#
#..#####...#.#..........###.##.#.###########.#######....###...###.........#########.#.####..........#.#.#.###...#..........##.#.#.#.#.###.###.#.#....#.##......#.#..#....#.#..#.#.####.##.##...##.###.##.###.##.#######....#..#####.......##.#..#...#.########.#..##.#..########.#..##.....#.#.#.###...#.#......#.#####...#.#.##.....##.##.#.##.##..#......##....##..##...###.#...#.####....####....###..#..#.##########..#..#.##.##.#..#####.#...####.##.#.###.##....##....########.#.#.#.####....######.###.#..#...##.#.###.#..##..############........###..#.#....#######.#.###.#...####.#..#..##..##.#.#..##.####..###.##.##.#.....##.....#.....#.#.#####..###.#..###.##..##.#.#.#.#.#.##.##.##.#.###..#.....#.####..##.#..#.##..##..##.##...##.#..#..###.######..##.##.##
##.#.....#.#.##.#.##.####........##.#.#.##.####..#...##.....#..###.#.#######........###.#..#.##.#.#.......#.#########.##.#.##.#.#.#.#.#.......######......#.##.#.##.#.##...#.#######...##.#..#.########...##.#..#...###.##...##.....##.#.##..##...#.#.#...##.#.#.#####.###.........##..#####.#.###.##########.#....##.###........#.#.....#.#.#..###...##.#.###.#..##.#..###...#.#.####.####......##..##.#########......##...#######....##.......#......#..####..####.####.#..........#########..#.##......##..#.##.#############.##.##########....###.#.##...#######....###....##..#.###.#..#.###..##.#..###.##..##...##...##.##.##.##.####.####.####.#..##...##...#.##...###.#..###.###.#.##.####..#...##.#.#####....#.##..#.#####.####..#.###.##..##.#.####......####...#..#
#..##.##.###.#..#.#...#.###.####............#.##.##########.#.##.###.##....####.###.......##..###.##.###.##.#.###......###..###.#.#.#####.#.####.....####.###..###########.#######.##.##..##.###........###########.#.###..#.#..#.#.####.#..###.###.#####......#.##.#..#.####.#.##.##.##.....#####........#####.##........#.#.#.########.....#.##...#.#..#.#...####..#.##...#.###.##........#.#.####.##.##...##.######....#.#.#.##..#########.#.######.##.#....##....#.####.#.#.##.#..#.#.##.####..#.###.####.###....#.##...##.#.####.....##.###.##...#..###..###....#.##.####.#..##.#.....##..##.##..#.####.###..#.#.##.#..##########.#....#....####.#.###.#..###.#..##.##...##.#....##.#.##....##.#.#..###...#####.##.#..##...##....##.####....##..###....#.#.########.###.#
####..#####..##.#####.......#..############.......###.#.....####......####..#.###########.#..##...####............##.#.#...##...#.####.#######.#.###.#......#####.##.#......###.#......##############.#..##.#.##.##...####.####.#.#..######.#.###....#.#..#.##......##.#.##.######..#..##.#.####...####.#....#####.##.#.#.###.########...###....##.#########.#..######.###.####...#..#.###.##.#.##...#..##.#...........##.#.#....#######.#....###......#..###.########.#.#..########.##........#########..##....##.#.#....#.......#####.#........###.###.####...####.###.......#.##..##.##..#.##..###.###..###.##...#.##.##..#.##.#....##.#.##.#.#....#.##..####...##.#..####.######.#####.##.####..#.##.##..#....##..#.#.##..#.##.##..#...##.##.##.##...##.#.#...#...##...#.#
#.#####.#.##.#..##....########.###..........#.###.#...#####.##...######.###.......###.....##..#####.#..#.#.######.#..###.#.######.#........##....##..###.#.####.#.#..######..#....##.#.#.##.##..#.#...##.##...#.....#......###..#.####......#..#######.##.#..##.###..#.#.....#.#...##.########.#############........#######...##.#.#.##.##...##.#...##.#.....##.....####.#..####.#######...##.###..####.##.######.#.#.##########.###.......##.#...###.##.##...#....###.....##..#......########...##.#....##..##.##.####.####.#.####.#...##.#####.#...##..#....###.....########...######.###.#.##.##...####.#......#.#.##.###...##...##.#..#..###.#.#.##.###.##...#.##.##..###.#.##...#.##..##....##.#..###..###.#########.#..####...####.#.##..#.##..#.#..#####.###.####.#####
#..####......##..##.#.#..#..##.....###.#.##.#.#.....#..#....#..#######..#.######.##.#######..##.##....##.#.##.....##.#...###.######.##.#.#..###.##..########..#.#.##.#######.#########.#....###.....###..####.###.#.#.#.##.#...#####.#####.###............#####..###.....###.#.#.#..#.##.#.............#.##..#.#.#.#####.#..#.#..........#.#..#.##.##....#.#####.####.#....##.#######.####.##.#...##..####.#....########.#...........####.##..#.####..#...########...#########.###.#.###.......#......#.####..#..#########.######.#...######.###.##.##..##.#.#####.#.##......###...##....##.########.##......###.####..#..###.###.#.#..#.#####...###.##..##.##.#.#..#####.#...#....#...###..#.##..#.#######...###...##.#####....##.#####.#..#.##.##.##.##....##........#.....#
##......###.##..##..####...##..##.##...#########.##.##...#.##.##.....##...#.###.............##...######..#####.#.##########......####..####..##..#.##.....###........#.....#.#.#.##..####.#.....#.######..........########.#.#.#.##........#.##.##.######..##...##.####.##.......##.#.#..####.#.#.##.#......####.#.##.#....#####.##.#.#.#####.#########.####...####.#.##.#.##...#.#........##.##.####..#.######.##.#.#.#.####.#.####.#.....#######...######.....#..#...#####.......####..##.##.####.###....##.#.####.#.#...###......#.##.##......##.###.##.#.##....#.#..#.##.....###..#.###.##.##.#######.#.##...#....##.##.....######.#.#.....#.#...##.##..#..#.##.....###.#.###.###.##...##.##.######.....#.....###...##...##.##.....###.##.##.##..#.###.#..#.##########.###
###.###.##...##..#####.###.#..###########.###....##.###.#########.##.#..#.......#########.#.#..#....########.######.#.#...####.###.######.##....##..#####..####.####...#.#.......##.###.####.##.#.#......#.##.#.#.######.#######..######.###.#######.###..###.###.......########.#######......#.#.#..####.###....###....##.##....#..#.###.....###.#.....#.####...........#.#..#...#####.##..#.####.###....##.......#.#........#.#....##.#.##...#...#.#.########...##.#.....###.###.##...#########....##.##.####.##...#.###.#.##########...###.#######....#.#####.#.####.#.####.#..###.#.##..##.##...##....######.#.#.##..#..############.#.##.##.##.###..##.##.#.###.######.###...#.#.##.#..#.##......####.####.#.....#####.######.#########..##.##.####...#.##...##.#######.#
#.###...#..#..####.#.#.##....##..##.###.#.#.#########.######.#.#####...###.#.##.#....########.#####...##...#.##.........#...........#.##.....#.######.####.#.########.##########.##.#.#.##.####.#.######.#.#..#####.#.#...#.####.##.##.###...#...........##.###...##.#.##.#........#.##..####.###.##.#....###.##.#...##.#..#..##.#.##.####.##.#.....###.#......######.##.#.#.##.#.......##.####.##.#.#.###########...######.#.#.#.#.##..######...#.#.#.....#####.##..#.#.#..######..###.##.##.##..#.##...###.....###.#.#.#.#.#.#...#.#..#.....#.......#.##.##.##.####.#####....##..##.#.##.##...##.######.#......###..##.#.###.#..#.##...#.#..#..#..##..###.#..#.#.....##....##.#...#..#.#.####..####..##...##..##.#####.#####.##..........##..#.#....##.#.###..#......#..#..#
#.....#.##.######.........#.####..................###..#.#.#.#.#.##..###.#.#.#######.......####.#.###.##.#......##.#.#.######.#####.#....#.#.#.##.....................#...##........#.#.#...##..####.....#.#####.#......#....#...##....#####.#####.#####......###.#..####.###.###.##....##....##..#..#.####....###########.#####.#.#....##.##.###.#.#...#.#.#######...##.#.########.#.#..#####.........#.#.##..#####.....#..#.###.#####.##.....###.#####.#........##.#.####.#.#....##...#........##..#####...##.##...........#.###.....##.#.#.#.####.####..#.....##....#.###.#..##.####..######.##.#.#.#####.#.#.#...##..###.#.##...###.#####.##.##..##.#.#.##.####.##..###.##..##.##.####.#.###...###..##.##..###.......#.#.#.#..##.########.##.#.##.##.###...##.##.###.##.##
#.###.###..####.###########..##..##.##.#######.##.#.##.......#.#..######.###.#.##.########........##...######.#.##.#####.########...###.##.###..###.##.##.##.#.#####.##.#....#.####.....###.#######..##.##..##.....#.####.##...#....##.#.....#.######....###.##...#.###.......#....#.##.###.#.##.#######....##.##.#.#.##.#.#...######.#..#.#..##..####.##.###.......#..#####........###.###.#..#######.#.#..##.......###...##.#....#.#..#..#.#.#######...##.###.######.##.......####..#.######.#..##...####.##...##.#.#.##.#.......#.#.#..#####.#....##...######..##.#.......#.##...##..###.#................#####.#.##.###....####...#...##..#..#..###...###..#....#..##...##.###.##.##......##.#...#.##..##.###..#####...#.#.#####........######.##..######.##...#.........#
####....##.#..#..##...#.####..##########.#.....#..#.########.#.##.##...#...###.............#.####.##.#.###....#..###..............#..#..##.#...##....#######.###.#...#####.#.#######.##..##.#..##.#.###..##.######.#.##....##.###.####.#####.....##...#.#########.#.#...##.##.#.#.#######.#.#..######.#####.##.#...........###.##.#...#.#####..##.#....#..##..##.##.##..#.###.#####.##......######.#.......#######.#.###.########.##.#####.#####.##....#..#####.#......#..#.###.####.##.#......##..##.##.....#.######.######.#.##.##.#.##.####..##.#.####.#......###.#.##.##.###..#..#.##.....#.#.#.#.#.##.####.#########.##.#..###.#...#.#########.##..###########.##..##.##..#...##.###.#.###..#.#.#####..#...##.....#.#......##.##.#.#.#####.##..##.###....##.#.#.#.##.##.#
##.##.#.##.##.##....#.....#..##...#........##.###.#................###...########.#.#.##.#.#.#.......#.#.##.#.#####..#.#####.#.##.##...###.#.#..###.####.#.#.#.....#.#.....#.###..######.##.##..#...##..#####......#.###.######.####....########..###.#....####.###.###.##.####.#.#.#.###...#.##..#.........####.##.#.##.#####.#..###.#....##.######.#.#.####.##.##.##.##.....#...#####.#.#####....#.#####..#.######.#......##....##.#.#.###......####.#.###....#.##.#.##########.....#####.##..#.###..#.#.###.#......#......#.#...###.#..#.#..##..#.#....#####.##...#.##.#....#.###.#..#######.#.#.#.########...............##.....##.##...##..#.#.##.##...........#####..#..##.#..###...#...##.#.###...#.####.##.#####.##.#.#.....#####........#.#####...#.###.###.####.##.#
#.....######.....##.#####...#####.#####.##.#..##....#.#.#########.##.#.#..##......#####..#.#####.#####.#....#.####..#################.##...#.##..####........#.##.##.#####.###.##.#.##....#.###...#..##.....####.#####....##.....#...##..........##...##.###.#......#...#..#....#.#.#.#...#.#####...##.##.#.#....#..#.#..#...#.##.##..#.#.##..##.....#.###.#..#..##..###..#######.###.#.#...#.####...######..........#.###.##..#####.....######.#......#.##..##.########..........##.##......##.#.#...##.#.################.#####.#######.#...####.###.##.##....####.#.##.##.#####...####.#.#...#.#.#.##.......##.####.#.###.#..##.##..##.#..##.....##..####.#.#.##...##..##.###.#.###..#.##.##..#...#.#......#.##.....####.#.##.##..#.#..#.##.#.#.#.....#.###....##....######
#.##.###..#..#.#.##.#.....###.....#.###.##.##.##.##.######.............##..##########...######.######....##.#.#..##.##......#.#.....#####.#####.##.#..###.#######.#..##....#......#..####.......###.####.####....########..#####...#.#..##.#.###....#.##.##....#.##.##.#######.####.....###....###.##..#..#####.###.########...##..##.###.#########.##.#...##.#.##..########.##.........##.##..#######......##.#.##.##.#....####.#.####.##.#.#########.#.#..#######.#######.#.#.#.##..###.##.##.###.#..#####........##..#...##....##......##.#####.#...##.##.#.##....#.####...#.###.###.......#.#.##########.#.##.##...####..##.#..#####..##..##.#.##..##....#.#.###.####..###...#...##.#..#..#.###.####.#.#.##..##.######..#..#..##...##.######.#######.#..##.#.##..#####.###
#.##...##...##.#.#..##.##..##.#.#.......####...####.##.....#.#.##.#.#.###.##..###.....#.#.......#.....#.##..####....##.##.#...#####.###.####..####.#####..#...#...#.####.########.#.###...###.#.##..##...#....#.##.#.###..##.....#.#.##.##.###...#.####..##.#.####..##.#........##..#.#.#...####.###########.####...##.##....#..##.#...##..###.#.##.######....#.##.###.#.#......#.#.#.#..#..##...#.....#.##.##.#.#####.##.#.####.........#.#.#.#.#.##..#.##..##......#.##...#######..##.####.#..#...##...##..#.####..##.##.#####.##..#######...##..##.########.#..##.###.##.#....#####..#.#.#.#.#.##.........#..###..#.#....##..##...####.##.#####.###.###.#.#.#.#....##..##...###.#.##.##.#.##..##..#####.#.###.##......##.########.###...#...#####.....#.##..#..##.....#.#.#
###..########..###########..###.#########.###.##.....####.######..######.....##...#.###########.##.#.##..##.##...#.#####..#.#.......#.#.#..##........#.######...#.####.#####.#..........#..##.#..##..###.######.##.......##..#.#.#.#..###..#####.#.#.###.##.###.###.##.#.#.#.#.####.#.#.###.#.................####.##.....#.###......#.##.##.........##....#.##.##.#.#.....###.##.#.#.##########.##.#.##.#..#..###.#.#.#..###....#.###.#.........#.###.#..##..######.#.####.#....######.##...#.####.##.#..##.#######.....###.#...#####.......###..#####.###.#..##.##.#......##.#..##...##.#.#.#.#..##.######.##.##..######.######..#.#.....#.##.#....#.#...#.#.#.##.#.##.###.#.#...#.##.##.#.##.####...##..#...#.##.###.##.......##....#.#...#..##.####.##.##.###..###.###...#
####.##...######...........#######.####.......######.####.##..###.#..#.#.#.#....#.#.##.#..##.......###..##...##.##.#.#...##########.....##.##.######.#.#.#.#..######....#......##.#.#.#.#.##..#.###.##...#...#..##.#.###..####.#.#.#######.#.....###......#.#.....#.##.#####.###....###########.#.##########.##.########.####.##.##.####...####.##.#################.#########.##.#.#..##.#.##...#############.#.......##.######.#.#...#########.#.#.###########...#.#...####.##........#..#.#...##..#.#.##..#.......#.#.......#..###..##.##...##.#...........#####..##.######.#.####.###.#.#.#.#.######......#..##.#.......#.#...#####.#.####....#.#####.####.#.##.#..#...#####.#.####..#.#..#.##...#..##.#.###.#....#.##.#.#.#..#.##.#.##.###.....##...###..#...##.......###
#....####.#.#.##.#.##########.###.......#.#.#.#.##.###....###..#####.#...#.##.#.#.####.##....#.######..####.########.#####.#........#.#.....#####..#.#.#.#.##.###..##.#.#.#########.###.#########...###.##.#...##..###...##....#.#..###....####.##...##.#####.#.#...#####.#...#######......#.########............###.########.#..##...##.#.##...######.####.##.##.##.##.###.....#########.#.####.#.#.#.##......#####.#.####.#.#..#.######........#.#.##.#.#...#..#...##.##.####..#.####...##.##.##..##.#.##.###.#.#.##.##.##.#.#.##.####..##.###..#.#.#.#.#.########.#..##.....#.#....##..#.#.#.#.#.##.###.#.##.#####.###.###...#.##....#.#..####.####.......###.#..##.##.##.....#.##...##.##.#.#..#.#.##..#...#.#.#.#####.########..#.#..#.##..##.###.#..###.#.#.####.###...#
##.###....#.#.########.#.##.....###.#.#.#######.....#..##.#...##.##....#.#..########.#.#######.#......###.####.#..#..........##.###.####.##..##.##............#.##..###.####........##....##.#....#.#.#.#####.##..##########.########...##.#.....########..##.#.##.##.......#..###..###.##............#.####.#.#........#.#.#.######.##########.#.....................#.#.####.##.............##.#.#.#.###.##.##.....#..##......##.#......#.##.#........#.###.#.##.#.....#.#.#..##.#....#.#..##..##.##.#..#.#...#.###..#..######.##......##....######.#######..##.##.##..##.#.#######..##.#.###.#.#......#.#.##.#.....##....#####..###.##...##.......###.#.#.##..##.#..##..####.##.####.##..#.####.#.#.##.##.#.#####.#.#.####.....#.##.####..##..####..##..##.#.###......#.###
#..##..##.....#.#.........####.##.#.###.#.....#####...#######.#...##.#.#.#.###...........#.#######.##.##.......##.#####.##.######.....######.....########.#.#.#..##..##.##.####.##.####.#.##.######.#....##.#.#..##.....##.####.#.########.#######.##.#...##..#.###########.##.#...##.######.#.####.#.#.##...#.###.#.##................##.##....###.##.##############.#.........##.##.#.###.#..............##..##.#.#######.#.#############.#..##.#.#.#...#.#.####.###.#.....#.##..###.#######..##..##.#.#####.#####..###.#.......#.#.##..##.#.###.#..##...###.##....##.###.#...##....###.#.#...########...#..#####.#.###.#.##....##...##.#.#..##.#.##...#.#..#.##..#.######.#..##.#.....#.##..##..#.####.##.#..#.#......##...##.##.##....#.####....##.###..#######.#.#.##..##
##..##.#..###...#######.#............##.#.##.##.....####.#.#....#....#.#.####..####.#.##...........#...##.##.#....###########.#####.###.##.#.#####.##.##########.##.##..........#..#....###....#.#########..####..#####.##.##..............#..........###..######.#..######.##.#.#..#.##.....####.#.#.######.####..###..#######.##.##.##...##########..##...............#.#.#.#..###..#########.#.#.#####.###.#######.......#.##............#.###.#.#####......#.#########.#....##.#...##......######..#..####..##.##...###.##.#.######..##..###.#...#####.#......##.##.##..########.##...#####.##.....######.##.##.#.#...#.#..##..##.##..###.###.###..#.#.#.##.###.#.#..##....##..##.#.##.##.####.#..#.#..###.##...##.#....####.##..###.##..#.#.####...###.##.##...#.#..##..#
###.##.#######.##.##.#..####.#.##.#.########....###..##......#.####.##.###....##....#.#..##.##.#.#.##.#########.#......#..#...#.#...#........#.##........#.#.#.#.......####.##.###.##.#...##.#....###.##.##.##.####...#.......#.#.##.##.#.##.#.##.#.#.#.##..##.#..##.........######......##.###.....####.#####....#######.......##..#.#..#..##........######.#.##.###.#.#.#####.########...#.########.....##...##.....#.#.#.#..##.##.##.#.#.###...############....##.##....##.#.#..###..##.#.#.#.##...##.##.#..##.....####..####.##.....####.#.....#.#.......#.##.##.#..###.##........##.##......###.#........##....#####.#.##.#..#######..##.#.....##.###.#.##.#.######....##.##.##..#.##..###.####.##...####..###..#.#.##....###############......#####.......###.###.####.#
#...##.#...........#...###...#.##.#....#.#.#########.#..#.######.##..####..#.####.#.#.#.##..#..#.###...#.##.#...##.###.##.###...###.####.#.#......##.#.#.........####.########.#...#..#########.#...............##..#...#.#.#######...###############.#.###..#.##.###.##.##.###.#.#.#.#.##..#...#.#.#..........##.#.......###.#.##.########....###.##.##.....######.###.#.##.##.##.#.##..#....##.#.#..#.#.##.#.###.##.#####.#.###..###..#########..##.#......####.#..#..#.###.#.##.##..##..#.#....###.##.##...##..#.#.#....##.....#.###.##...##.#.############..#.#######.#.#..####.#..################.#.###..#.##.#.....###..##..#.##...##..##.##..#.#...#.#..#........#.##..#...#.##..##......##..##.#....##.#...######..#.###..........##..##.#....######.#...###......###
###########.#.##.#...#.#...###..####.###....#.##...##########.#.....###.######.############.#.##.#######.#....#.####......#.###..###########.##.#.##.#####.###.#.#....#....#...#########.##...#####.##.##.#.###....###.####.#.......####.#.##.#.##.#.....##.##.....########.#.......#.#..#.##.###.###.##.#.#.#..######.#.##...#..#...##.....#.##....##########...#......#.#.....##......#####........####..#.###...#..#.....#.#...####.##.........##....#.##..###.##.#.##.#...#.####..##..##.###.##....#..###..##.###.#.#.##..#.#.#####..#.#.####...##.........##.#.........####....##..#.##.#.#.#....#.#.#...####..##.#.#######..##....#..#####..##.#.##.##.##.#.#.##.#.#..##.#.#.#####.#..#######.##..##.########....####.###.#.##########..###.##.#......#.#.#.##..#.#.####
####........######.#######.###.########..##....###.##...........#.#.#...#.#.#....#.#.#.#.#########.#.#.#.####.###.#######...###.##...........##.#.##.#######.#.####.#.#.##.#######........###..#.....###..##########...#....#.#.#.#..##..............#.#.....#.###.#.#.##.#.#####.###.#.#######...#############.#......#..##.###.#.#.##.###.#####.#####.#.#..###...##.#.#.####.####.#.###.##..#####.###...##.#...#.##.#####.####.##..#########.#.####.#.#.#..##.#.#....##.##.####....####.##...#.#..#.######..##..##..#.###..#######....##.###....#..#####.#.#..#####.#.#.#.#....#.##..##..........##...#.##.###...##..###.......##..##.##...##..##..###..##.#..#####..###.##..#.#...##..##....##.####.##....##.....####.....##.#..........##...###..##.##.####.#..##.#.#....#
#....##.#####...##.##.##...#...#..#.#.########.#.#.#..#.###.###.#.#.#.#.....####.........#.##............#.####.....#.#...###.#.#########.##.#..######.#........##..#####........###.###.##.##.#.#.######.##.........#.##.#.###############.###.##.#.#.#.##.#####..#.#....####.##########.#..######.###.#.#.##..######.####..#...######.###.##.#..##........##...#..#####.#....#.#######...#####....##..#.######.###..#........#####.##.##.....###..########........#.##..#....##.#.###....##.##.#.##..##....########.######.#.#.#.####.#######.#.#.##.#...###.####.#######.###.##.###.##.#.#.##.#####.####....###########.###.#####.#...#.#.###..##...##.##.#.##..###.##..###.#.##.####.##.##.....##...##.###..###....##.##.#....##.#.##.###.#...#####.##....#.#.###.#.#.#.##
##########.####..###.....#.##.##.##...###............########...#.#.#######.#####.######.#..########.###...#.######.#.##.##.#....#.###..###########.#..#.#.#.#.######.....#.#.##...####..........#..##....#..#.###.#.#..#########...........###.#..#.#.###...##.##.#.####..##....##..#.##.##..............#....##......#....###.#####.###.####...#####.#.##....#.##..##...##.#.#.#.#.....#.......#.####.#...##...####.##.#.#.#.#.....##.##.#.######.#.....###.#####.########.######.#...#.##...#.#.##.####.#...##...#.#......#........#...##....#.#.#....#..##.##......#.#..#...#...###############......########....###...#......##.###.#.###.##.##.#..#.##.#..##......##...#####.....###...##.####..###....#.####.##..#.##...#########..##..##.##......##.#.###...###.###..#
#.............#.####.#.#.###..#...###.....#.#.#.##.#.#.#......#######.............###....##.#.#.###..#####....#..#..........####.#.#.##.##..##.##.#.##.#####.#.#.#.######.#.#.####.#....#.##.#.#.#.##..#.###.#.#...###.##.....#...##.#.#.#.##...##.#####...#..............######.###.#.##.###.#.##.#.#.##.####..##.#.###.##.#...##.#...#..###..###.#######..#.##.##.##..#.#..#.#...#######.#.###.###..#.#.#####.##.....#############.....######.....####.##.###.......##......##.######.#.###.####.##.##.#.##.#####...#.#.#.####.#.##...#######.#.#.###.###.##.##.#.##.....###.##.#...##.##.........###.##.#####..#.##...#.####.###..#...###....#.##.#.####..##.###.#.#.#..#####...#.#.##..#.##....#######.######...##.#####.#.........##..####...##.#.#.##.###...###.....####
######.#.####...##...#.##########.#.#####.#.#.#.#..#.#...#######.#.#####.##.#.#.#.#.####........#.####.######.##...######.#...........#.#..##..........##.#..###......#########.##.####.#.#..#.###..####..####.##.##....#.###...#.##.#####.####.##.######.##.#.#.#######.##.##.#.#.#.#.##.#.########.###...###.#######....###.#.##...#.##.#.####...#.######.#.##.##.#..#########.#.........#.#.....##...#.###.#####.#.###.#.#.#....#####.##.#.#####.##..........##.##.##.##.#.##.....##.###......#.##.##....#######.#.#######.#..####.#.##.##.#.###.#####.###...###.#..#.#.#...##.#.###..####.###########......####.####.#.#....##..##.#...##.#...##.#.#.######.#...#.#.##.##....#.#.#####.###..##.......####.#...#..#...#.####.############..##.##..#.#.##...###.####.##....#
#.#....###....#....#.###...###............########.#.######.##............###.#####.###########...#.##.#.........#.#......#.####.####.#.##.####.###.##.##...#####.###..............#.#..#.##.#.######.#..##..#.#####.#.####...###.##.##....#.##..###.#.....#.#########....#.#..........#..#.##.##.#####..#...####.#.###.#.##..#..##.##......######.#.#.#.##.###..##.#.##....#.############.#####.#####.##.#.#..#.##.###.........##.......#....#####.######.#.####..#######..#.#..###.....##.#.##.#.#..#..#.###.##...####......####....#.##.......##.#.........########.#.#.###.##.#...##..###.###.##..#######.##.#.......###.#.####.##.#.###..#.#..#.#.....##.#######.###...##.#.###.##......#.##..###.#....#.##.##.####......#..........###.#####..####.##.#.##..#....####.##
#.#######..##.##.#.#..####.#...##.#.#.#.#.#....#...#.#.........#.##.##.########........########.#......##.########.######.#.#....##.............##..#.....#.##.#####..##.###.##.##.....##.#..#....###.#.###.####...#####.#..#.#...#..##.#.##....##...####.##.##......####.....##.#.###.##....#.#......######..........#.#.##.##########.###....#..............##.##.#.###.#................##.......####..#.##........##.#.###.####.####.##.#.....#.#.#.##########....#.#..##.##.##..#.#.##.#.#######.#.##.#...######....####......#.##..###.##.###.##.#.#.##.##.......######..##.#.#.###.#.###.#..##.#.#.#........####.###..#..##..##.#...##.#.##.###.###..#.##.#....###.######..##.####.#.##.###...#.####...##.#.....#.#.#.##.##########....#.###..###..#.#####.#.##..##..##
#..##.##..#####..#.####.#....#.#..###.#.######.###.#.#######.######..###....####.#.###..........#.##.#..###.#.##...###....######.####.#.#.##.#.##..####.#.####.#.....######..#..##.##.######.##.#.#.....##..#.#..#..##...####.##.###..###.#..#.#####......##.#######......#.#..#####...#####.#.######.#......##.#.###.#.####.#...#....###...##...#.#.####.###..#.#..#..#######.#.#.##.#.##.#####.#.##....##..####.#.#.##########.#####.#..#######.....#...#.#......#.##.##..#.######.#.#..#.#....##...#..#####.#.#.#######....#.####.##.###..#....####.###..#.#..#####.##...##..#.#####...#.###.##.##.#.....##.#.#.#....##..##.####.#..##.#####.#..##...##.##......##.#....##.#..##...##..#.##..##.#.#...####..#.##.#.##.#.#..#...###...#..##.....##.#...####.....#.##.####..#
#.##..#..####...##..##....####.####...####.###..######.......##.....##...#.##.#..###.##########.#######.##....##.###.##.#.#......#....#####..#.#..##....####...##.##.##.#.#####.##..#.##.#...#..###.#.#####.#.#####..###.###...#########..####.#.#.#####.###.#.......##.#.#.####..#..#.#.#.#.#..##.##.##.#.#..#####.....#....###.####.....#.##.#.#####....##..#####.####.#.#...#####..#.#..#.....######.###.###########.#.#..###.#.#.....###.#..#####.###.#.#####.##.#...#.##.#.#....#.#.####.##..##.##.##..........#.#.###.###.##....#.#.##.##.#.##...#...########....####....#####.####...#...........##.##..#.#.##.#.##.##....#####.#..##....##..##.###.####.#.##..#.##.##...##..#..##.#..##..#.#.###..##..##.##.#.##.####.###.....###.#######.#####.##.###.##.###...#.##.#
#..##...##.#..#..###########...#####.###.....##.#.#..#####.######.#.######..#.####..............##.##.#.###.#..####.....#.#####.########....#####.#####.##...#....#..##.........#..##....##.###.########.##.#.###.##...#.#...####.#.##.##.##...#...........####.####.##.#.#.#..##.####.#.#.#.#.##........#.#.###.#####.##.#.##.#.#####.#.##.##.#.#.....##.###.##..###..#...######.#####.##.#.###...#.##.#....#...#.#.#....##.#.#.#.####.###..##...................##.#.#....#.#...#.##.#...##..##.###############.#.........#....##.#.###....#..#########.####.##...#.##.##.##...##.....###.####.#.#.#.######.##.#.#..#.##.#..####.#.####..##.#####.#....###....#..##.#.##..##.##..######.##..##.###..##.##..###.#..#######....##.###.......##.####..##.#....###..#...#...##.#
#.########.##########.####.##.##.....#...#.#....#.#.##.###...##...#.#..####.#.#..###.###.#.#.#.##...........##..#.###.#.###.....#.#......##.#.##..#.#....#####.##.#####.#####.#.#.##..#######.###........##.#.#......#.....#####..........####.#######.#.#####..#....#..#.####..#.##...#...#.#.####.####.#.####...#.##########.........#.#..##.#####.#.##..##.###...##...#...............###..###.##....####...#.......##.#...............##.#######.#######.#.#.##..#.##.###.##.##..#.##.##..#####.##.#.#........####.##.###.#.#####...##.#.##..##........##...##.####...#..##.######.##........#.#.####.##..##.#.##.#..####.###.........##.....##.##.#.##..#.######.###..##...####.###..##.##....##.#...##...####...#.#.##.#..#...#.##.####...##..##....#######.#.#.##.##..#
#.###.##.#.#.#.##...........####.#.#######.##.#............#.##.#.####.#........##.#####.#.#.##########.##.####.....#########.###...##.#.#..#..##.#...####.########.#...#...#####.#####..#.#...######.##......###.##.###.#.....##.##.#.#.##....##......#.#.....####.##.##.##...##..###.###.....#.######..###..###........#.#...#.##.##.#.#.##..#.....#.###.####.##.#####.#########.###.#...##.#....###.##....#.#.#####.#....#########.###.#...##...#####.....###..#.##.#...##.#..#..##.##..##...##...#.#.######.#.#######.##..#.#.....######.#..##..##.########....#.#..#...######.#...#####.#.#.###.#.......########.#.##......#.##.##.#..##.#.######.#####.#.##.......##.#..#..##....#.#######.###..##.##..#.#....#.....##.#.###.##.##..##..#....##..##..###.##.###.##..##.#
#..#..##.#......#.##.#.##.####.######.#....#..#.##.#.#.##.##.##.#.#......######....##....#.#.#...#...#..##.##...###.##.#..#.####..#.#..#.##...###.###.#.......##.#....#.#.#..#.#......##.....#....#.#..##.#.#..####..#...##.####..######..##.#..##.#.#.#######.#.#############..##.#.......###.#.#.#....#####.....#.#.##...##########..###..##.#####.#.#.....##.##.##.######.......#...########.#.##....####.#####.#...#.#.##.........#.....#.####..##.#####.##..##..#.#.#..###.##.#######.##.###..#............#.#........####.#.#.#..##....##..########...#...#.##.#####.###.....###.#.#.#####.##..#####.#....##....#.#..##.#.###..#..####..#.##.#......####..#####.#.##.##.#.####.#...##...##...####...#.######.##.#.#..###.#.#..#.###....#####..########...####....#.##..#
##.#.##..######.########...##..##.....###.###.#..#######...##########.#.##########..##.###.#####.###...############....##....#...##########.###...#####.#.###......#.####.##.....##############.#.....#######.##.######.##..#....##......##..#.##..#.####.#.####...........####......#.#.###.........##.##....###.###.####.#.##.#.####..###.####.....#####.#.#.........###.#########.#..##...#..##############..##.##############.#.#.##.##.#....##.....##....##.#..##.#.#.###..#.....##....###...##.#.#.#.###.##.##.##.##.##...#.###.###.##..####.##.##..#...######.#.#.#.#.#.###...#......#.#..###.#####.###.######.#.##.##.####..###....##.#.#....#.####.#..##.....###..#..###.####.#....########.###.##.#.#.....######.##....#.##..##.####.######.#.###..#..##..#.#####.##
#....###.##......#.##.#..#....####.##......##########.##.#..##.....####.##.....####.#####..#.........#.##.#.#.#...####..####...###...........####.#..######...##.############.#.####.##.........#.#.####.#.#.....#.##.##########..##.##.####.#..#######......##..#.####.##....######.#.#..#####.##.#.#..##.####.#.##..#.#..............##.###....#.#..##...####.######.#.............#######...####.#####...###..#.####.#.#.......###.#...####.#..##.##....####..##..#######.#####.##.##.#.######.#..#########.##.##..####.##.######..##..###..##........####.#............#.#######.######.#...##...#.....##...##....#.#..#.....#.##.#.##.#..#.######.##...#.####.#.########..##......#.#.###.####...##..#.#...#.#......#.##.##.#..##.##.........##........#######.#..##....#
####...#.#######........#####.#.##..##.#.###.#.#...#.....##..#####......######........#.######.##.##.#.#......###..#...###.#.#...##.#.###.#.##....##...#.####.#...#.#.#..##.#.#.#.....#####.##.#######.......#.#...........##....##..#####.#.#.##.......##.#..##.###.########.####...#.#.##......#.#.#.#####.#.....##.#...#.###.##.##.##..######.#.##..##.##....##.....###.##.#.########.#.#.###........###...##............##.#.##...##.###.####.....####....##.###..##............#########..########.#.#.....#.#..###...#####.....######...###.###.##.##...##########.#...##..##...........#..########.##..###..##.#.##.##.#.##.#.....####.#####.#...###......###....###.##..#.####.#.#..........###..####.#.#.#.#.#.####...#.#####.#..##.#.##....##.##.###......#.####.###
###..#...#.#...##.##.##.#........#######.#.....###.###.#.##.##...###.#.##.#.#########.#.#.##.###..####.##.###...##.###.#.#.#.##.##..#.#...#.###.#.#..#.#.#.##.#.###.#.##.##.#.#######..#.#######.#.#.###.#.#.###.#.#.#####....##..##.#.......#..############.######....#.##........#.#.#..##.##.########.##....#.#..#####.########.##..##........#.#..##...###########..#######.####...........####.#.#...###..#####.######..#######.##..#........#.###....#.#####.##.##.#######.##..##.#.#.#.##.#..........##.#####.#...#.#.....##.##..#...#...###...#######.##.........##.####....#.#.##.#.###.##........##...#.##..#.#...###..#####.###.....##.....#...###.####...#.##...#..##.#....#.#.#.##.#.#.##..##.####.###.#.#######.#######..##.####..#.#.##...#.#.##.#.#.#.##.....#
#.######...#.################.##..#.#.#####.##.##....###.##..###.....#.#.......##.#...........#..##....##.##..#..........#...##..##.#.##.##..##.######.#......#.#..............#.#####.#..###.#.......######.##..##########.#..##..#################.###........#.####....###.#.#.##.#.#.###.#..##..........##.######.....###.##.#..##.##.##.#.#.###########.#.#.##.###......####....###.#.#.###....#.###.#...##.....#......###.#....#..###.#.##.##.#...####...##.....##.#.......##.##...........######.##.###..##...#.#.######.##...##...###.#########.##....##.##.##.####.##...##.#.#.##.#.#...#..###.#.####.##.#..####.###...##......##.###.##.#.#######......###.#..#.#...###.##.#.###.###..#.#..##.......#.##..####.#.#.....#..##.#....##.####..##.##...##.###.######.#.#
#...#.####.#..##...........##..##......##...#..#####.##...#######.#.##.#.#.#.#......#.#.#####...####.#.##..##########.##...#..####..#.####..##..#........#.#########.###.##.##.#.......#.##.#.#.#.##.##......###.##.##......#.#######.#.#.#.....#........######.#.#....##.....#.#..###.#.#...##.#..##########....######.#.#.#......#####..#..#.###.....#.#...........##.####.#.#..#.##...#####.####.###.....#.#..##.##########....#.##.###..#.#..##.#.#...###.#####.####.#######.#...####.##.###.#.#....#..##..##..########.##..###.##..#.#######..####..#############.##....##.###.#.#..#####.####.#...#..##...####.##...##..#..###.#.###.#...####.##....###.#####..#.##.###...#.#..#.##....##.###.####.#.##.#####........#.#.#...#####.#.###...#############..##..##.##..#.#
#.#..........####.#.#.#.##.###.#..####.#######.......#######.#....#.############.########.....####...#..######.##.....#..#.####....##.#....#########.##.##.###.#.#...##..#..##########......#.#####.....##.#.#...##....#.##.#..##...........###.###.###.##..........##.#..##.##.#.##...#.##.###.##.##...#.########..#######...##.#..##...##.##...#.###.....###.#.#.#....#........#############.##...##..#.#.#...#####..........##.######...#####..#####.#..##...##..#....#.......#.####...#..#.....###.##.####.##.##...........##....#.####.###.##......###.###.#......##.#.##..##..#.##.#.....##...#.#.##.#..####.#..###..#########.#.#.###.#..##..##.##.##...##...#######...#.####.#.##.#.##....#.#.#..#..####....####.###.#.#.#....##.#...#.#.............######.##....##.#
##########.#..############.#.#######...#.#..########...####....##.#.#...#.#...#..#...#.#..##.##....#.####.........##.###.#..##..#.##..##.###.###.....#...###.......#..##.##.#.##.......##.#....#.#..#.###..###########.###..#.####.#.#.###.####.#.###...#####.#.##.###.##.#######.##.#.######...##..###.....####.##.#.##.#..#.##.##..##.##...##.##.#...###.#...#.#.#.######.###.##.#.##.##.#.#.#..###..########.#.#####.#.#.#.######.####.##.....###.#..#.##..#####.#.#.##.#.#.#.#....###.########.....#...#.#.##.####.####.##.##.##.#..##..#...#..##.#..#..#.#...##.#.##.#####.#..##.##.#####.#..#.#.####.##.###....##...####.......###.....##..##.#..#.....###..#..##..#..#.#...####.##.#..##.###.#...###....####....#############.######.####.#.#.##.####.#.####..###.###.#
##.##..######..#..####.#......##.#.##.##.#.##.#..####.##..#########.#.#.....#...##.#...#########.#.#.##.#####.#.#.####...#.########..######....########.##...#.##.##.##..#..#....####.##..####.....##..##.####...........##.#..#.#.#.#######.......####.#.....#.##.##..##.#........###.#####..#.###########.#....##...#....##..####.##...##.##...############.##########.######.#....#.....#.#.#########.#.#.####.......#.######.#.....##.#..######....##..##..#.####.#.##.#.#.#.#.########........##.##.###...####.#####...####..##.######.###.########.##.#.##.###.#.##..##...##.####..#####.##.#.###.....###.##.#.##.#.##...#.#.#..##.#.#.###.##.##.###.#...#.###..##...##.#.#..##..#..#.###...#.##.##.##.###.##.##.....##.#...##.#...##..#####.#..#...##....##..######...#
#.....##.##.##.#.##.#..######...................##.....##..##.#..########.#.#.#.######.....##....#.#.#........###.#....#.#...##.....###.#...##.#.#......##.#.#.##..#..#######.#.##....######...##.####.##.#....##.#.####.#..#.##...###.......#.#.#......#####.###..#..######.###.#...###.##..####.#.#.#.......##....#...#.##..##....###.###########.###...#.###.#.#.#......#..######...#.#...#.###..###........#####.########....#####..######.##.####..#.####...#.#..#.#..#.#.#.#..###.########.#.####....##.##....#.##..#.#....######.#........###.#...........#...###..#####.##...###.#.....##.#.#...##.##......#.#..#..##.##.###.##..###...###..##..##.#.#.#.##..####.##..#.#.####.#.##...##.##.#.....##.##.....###.##......###....#..##...###.#.###.####.#..##......##.##
##.##..........#..#.##.#.####.##.##############.#####.####..#.##.#...#.####.#####.#.#..#.#....##.#.#.##.##############.###.#######.##...##.##......####.##.#.####.#####.#.#########.#..###.#.#.##.#.#...#.##.#.##.###....#.##..##.#####.#.#.##.#####.#.##.....##..###...##...#...#.####.....##..........###########.#.#.#..##..##.#..##.##....##.#......#.#..#..#.#.###.##.##..#.#...#######.#.#.##.#.######.#..##.#####......##.##.###..#.###.#...##..##.##...#.#.##.#.##.#####.#.##............#..##..##.########.#.#..#########.##.....##.#.#.......#.#.#######.######...##..#..#...#####.#..###.######.####.#.##.##.##.##.##.#....######.###...####.#..#.#.#..##...##.###.###...####.##.#..#.#####.#.##..####.#...#..#.##.#...#.#.##.##..#...#.#..##.#.#####.##.#.#.##...#
###########.##.##.#.........#..####..............###..##.##.#.##...#...#.#####........##.##.#.##.########....##.#........####.#########.####..#.#.###.#.##.#.#.....##........#.##.######.....#..###...#.#.#..#.####...##.#.##.######.########..##....#.###.#.####..##.######.###.####.###############.#.#..###.#....#.#.##..#######.###.###.#....########.##.##.....#.#.##..##.....#.#.........#.#.........####..........#######.#....#.##.......#....#######.##.#....#.##.##.#..#..##.#.#.#######.##..#####.#.#........#####...##.#####.########.##.#.#.#.#........##..##.####.#.##.#.#.....##...###......#.#..#.##.##..#.##.#..#.#.##.......####...##.##.###.#.##..#..###....##.###.....#.##.#...#.#.#..##.#....##.##.##.#####.####..#.##.##.###.#####......##..###.#..##.##
#.#.###..#####......#.#.#.#...###.#############.##.#.##..##.#..##.####...#.#.###.##.#.##.#..#..#.#........##......#.##.###....#..###.#....#########.....##.#.###.#########.#.......##....#.#.#.##...#.#####.####.####.##.#.##...##....##.##...####.###.#.#.###.#####.....##...####....#....#.#.#.#.##.#.##.......##.#.#..##.#.........###.######.......#.....######......##.##.###.#######.###...#########.#....#.###.#.#####..#...##....#####.####.#.##...#..##.##.#.#.##.##.#.##.##..#.#.#.......##.##.#.......##.##.##.#.###.#..#.#####.####.#..#.#.###.##.#.##.####.....##..#.##.#####.#.#..#.#####.#.##...##..#.##.##..#.##.###..#.###.#....##.##..#..##..###..##.##...##..#.##..##.##..#.#.###...#####.####..#.##.##.....#...##.####...#...#...##..##########...##.##..#
#.#.#.#.##.#...#.####.######.##.....##..#.###.........##.#..#.#####.##.#..........########.##.##.#.#.#.#.#####.##.####...##.#...##.#.####...##.#..####.##..########..#.######.##.#....######.###..#.#.##.##.#..........###.###.######.#...######.#.#...#....##.#.##..##.####.##.###.#...##...#........#..####.##.##.#.#.##..##.#.#.##.##...##.###.####...###........#.#.##......##.#....######.#....##.#.#.###.##.##..###...##.###..##.#..#.#####.###..#.#...##...###.#.##.#....#..##.##.#########.##.#..####.##..######.....#..##.#...##....#....###############...##..##.##..##.#..##.##.#.##.###.....#..##.##..##.#..#####.#..#...##.#...##.####..##.##..##..##.#####..#.##.##..#.###.#####.#...#.#.....#.##...##.#...##.#.##.#..#...##.#.#.###.#####....#....##.#..###..##
#.......##.###############.######.#####.......#######.#..##...#.##..##.##.#.###.####.#.###.################....#..###..########.#..#.######......####...#####..##.##......#....####.#####.#....##.#.#.....######.##.#.##...#....##......#..........###.##.#.#.......##..##...#....####.##..#...###.##.####.....#.#..#.##########.#########....#.###.###.##...########.#..##.##.######.#........####.#...........#..########........##..##.............##.##.##..#.##..#.#..####.#.#####..##........#....##....##.##...######.##....###.#####...#.##.#.........####.###.#####..#####.##.....#.#....#.##.##.##..#..##..##.....####.#.#..#####.##....#.##...##..##.####.....##.#..##.####.......####.#####.##.#..##.#####.#.##.######.####.##.#.#..#####..##.#...####..#.#####..#
##.####.....#.####..###.#..##.#.#..##.#####.#..##.##....###.###..##.##..#######..##........#.#.##.#.#.#.#.####.##.#...####.#....##..........#.##..#.##.####.##....#####.#...##.#....##......#.###.#.##.#.###.###.##.#.###.###.#..##.######.###.#.#.##..#..####.###.##..##########......##.###.##...#..##...#.#.#.##.####.#.##.#..#......#####.#.##......######........########.##.....##.##.#.###.....#.###.##.######.......#.##.#########.###.#####.#####...##.#.###.###.##....###..##.####.#.##.###.#####.#########...........##.....#.#.#####.#....######.##..#...#..##...##.....###.##.#.##.#.####..#####.##.##.###.#.#####..####.##.##..##.#.#..##.####.##....###.#..#.##..###.###.#.#.##......##...#.##.##....##.#.#....#.##....#..###.####.##..##..#.#....#.##....##.##
###########.#..#.##.#.#.##.#......##........####.....##...#...##.##.######......####.#.#.###...##.#.....#.#######.##.###.....##.########.#.######...####....#####..#..############.####.##.##.##..#..###.##......######.....###.##..#......#...#.#.#..##.###.###...###.##.###.....####.####.###..####..#####.#.######...........#######.#.#.#......#.#.##.###########..##..#.#..##########..###...###.#.##..#...##..######.####..#...###.#...#####.....##..#..#.#.#...##...####...##..#..##..#..###....##...###.#...#######.#####..#.#...........##.###.......##...###.#########.#.##....######.###....###.#####..#.##..#.##....##..###.....##..#########....##.####...#.######...#.#...#.#..##.##.##..######..##.#..#.###.##...##.#.###.###.........##..#########.##.##.##..#
#.....#.....##.#.##.#.#.#..######..#######.####..##.#####...#..#.##.#.###..######.####.#.#####..#.##.##.#.#..#....#..##..#.###....#.##.#####.##.###.#..####.#.#.##.##.##......#.#..#..###...#####.#.##...##.#.#.##..###########.############.#.#####.###.##......#.#...##...#######.####.##.##..##....####...####.##########.####..#.#........##.#.#####.......###########...######........###..###...#.#..##.#####........#.##.##.#.......#.#.....#.#.##.###.#.#####..##.###...#.###...##..##.###..##..###.#.#.###.........#.....##.##.##.#.#.#.#..#########.##.#...###.........#.#..#.###.......##.#.##..#.#...######.#..#.#.####..#..#.#..##....##.##..#.##..######.####.....#...#.###.#####..#.###.##.#.####..#.##...####.#..###..##.#...#.##.######........##.##..#..##.#
#####...###.#....#......##.#....##.##......##.#####.##....#.##........#.#########..#######.#.##.#.#####...##.####################.......#.#...........##........#...#.#######.#.#####.####.####...#..###.#..#.#.#..##.##.#.##.###.######.########.##.##..###.#.#.#.##.##..#..#.#.#....##..#.#..####.#.##...#.##......#.#.#####.###...####.###..###.##.###.##.#...........###..###.######.###.#####..#.#.##.##.###.###.######.########.##.#.#######.###.##..##.#.##....#####.###.#..###.####.##.#...##..######.......#########.#.#..#.#..#..###.######.#.###......#.#..######.########.#.##..###.#.##.#####.....#.#.#.#..#.####.##.##...##.##.##.##.....##.###..##.........##.##.#.#.###.......#.##.#..........##.##..#.#.###..##.##..###.###.#.##....##..########..##.##.##..#
##.###.###....##.####.#....###.##...########.........#########.##.#.#.#.###.....##..................#.###....##.##.#######........#.#.#.....#.#.#.#.#..#####.##.###...#.##.#.....##.#.........##.##.####.##.#.####.......#.##..##...#.......#.##.....###...###.#############.......##.###.....##....#.##.#.#..####.#.#.#.#..#...####.......##.######....#.#..##.########.#.##.#.#.###..####........##.#########.....###.#.##.#.#.##.####.#.##......#####..##..#.##.##.#.........#.##.....##.##.###.#..##......###.#.#.........###.##.#####...#####..........##.###.#.##.##.######.#.#.#..##.#...#.##.#..#..###.#.....##.#.##...#...##.##..#..#...#.#.#.#..#...##..##.#.#######..#.#...###.#.#.#..#.##.#.#.##.###.#..##.#.#...##...####.###...#.#..######.......##.##...#..##.#
#...####.####.#...#.####.#..##....###.#......##.#.#.##..........#####.#.#.#####..#############.#.##.......##.........##..######.#.#########.##########.#.######.#####........###.#....###.#.###..#..#....#..#.##.##.##.#...##.#####...#####.#.#..#.#.#...#####.##....##......##.#.##..#.########.#.############.##.#.#.#.##.##.##.###.#######.##..#####.#########....#........#.#.#.##.##...#.###.##....#.#.#######.##...............#...#####.#.#.....##.#..####..#..#.#.#.#.#.#.##.#.####.##.#...#.##############.#.#.##.####....#####.##.##.....##.#######....#####..#...#.........#.##..#.#.#..####...###..#.########.##.#####.....##.####.###.##########.##.#####.########.###.###...#####.##..#.#.#..###.#.##.##.####.###.#......##..#.#.##.....##.##.#########.#####..#
###...#....######...##...##....##.#.#.###.####..#.####.#.####.#####.......#####.###............#.###.###.#####.##.##..##........####.#......##.....#.#.#.#.###........#.##.#.#.....##.#...#..###.##.#.#########..##.######.##.#.#.###.#..##.#.#.##.#.#.#.#...#####.#....#.#.##..#####...#.##.#.#############.....###........#.......####.#..#####...#....#........##...#.####.....#.#.....#.#.#####..#.##.......###....##.##.#.#.#.#...#..##...###.#####..##....##.##.###.#.###.#.##.#.##...########.##.............#####..#....#.####.#.....##.##.#####.#####.########.###.####.#.#.##..######.#####.##.###..##...##.....##.#..#####.##..####..##...##........#..##...#..##.#....#...#.#....##.#..##.#.##...#.#.##.##.#......#.#.##.#.#..####.##.#####...#.......##......##.#
#####...##.#.##...#..#######.#.##...#.#.#..##..##.#....#.#....##..###.###.........###.#.######.###.########.####..###..#######.##......#.#.#######.............#.###.#####.#.##.#.##..###.##..##############....##..#.........#.#.#.#.##......#..#.###.#.#.#.########.#.#.#####.###.###.#.......#.#.#.##.#.#####..###.#.###...####.##....#.###..###.####.##.#.#.#.#..#.#.####.#.#...####.##.#.#.....##..##.####.....#.##..############.##..#.#.#......##.#####.############.##..#.##.#.####..##.####..##.#.##.#.#.#.##.######.###.##.....##.##...#.#.............#.#.............#.#########.#...##........#.##..#.#####.######.......#####....####.##..#.#.#.#######.###......##.########.#.####.#####.##.###.###..######.#.####..######....#.##.....##.###.##.#####.#.####.#
#...###.##......#.##...##.#..#.#..#.......##..##..##.#.#.##.#..##..#######.#.###.##.#####....#.###.#....#.....#####.#.##....#######.##.#.#####.##..#.#.#.#.#.###.##..#.##..#.#..#####.#...##.##..........#.####.########.####...#.#.#########...#####..#.###.#.##.#.########.####.........##.##.....#.#......#...##...#######.#..#..####.#.#.##...#.##....############.#.#..#######...##########.#.####.####.########..#.##.#.#.#.#.##.##.####.#.##.######.....##...........##.#########.#####.....#########..#.#####.........#...###.#.##..##.###.####.##.#.#.###...##.#.#.#.#.##.###...#.....###..#.#.#.######.#..###..##.#.##.#.#.##.#...#.##....#########.#....##.#.##.##.###......##..###.#####..#.#........##....#####....##..#.#...#.######.#.##...##.##.....###....#.#
##.####.#######.###..#....##.#######.##.#.###.###..##########.####..#...########..#.##....##.###.#.####.#####...##.....###.##.##..#########.#.....##########.##...####....##.##...#.####.##...######.#.#....###.#.##.#...######......##.......#...##..##.##..........#............#.#.#.#.#..#..#.#...######...#....#.#....#####.##.#.##......###....####..............####.##....##.##..#.#..#######.###.............#####.......#.....###.####.##......#.##.##########.#.##...##.###....##...###.##.#.#.#..##.########.#.##.###..####..##..#...###....##.#.#...##.###.#####.#.##.#...#...#.#..##.####.#.##.....####...##.......###..#.###.#.#####..#.#.##.....#.##..#....#..##..########........#..##.##.#.#######.###.##..#.####...##.##...##...#..#.###...########..##.###
#..##.#.#.......##..#####..#####.##..#..#.#....###.####.#.###.##.##.###.#.####.##.#..##.###...#.....##...#.####.####.#......#.###.##.##.##....#.###.#.##.....###.######.#..#.##.#.#......####.#......####.#...#........#.#......#.##..######.###.###################...##.###.#.#.#.#.#.#.##.####.###.###.#..####.#.######...##..##.#..###.#######.#...###.#.############...#####.##....##.#.##.#.#.#...#####.##.##.#.#.#.#######.##.##.#....##..#..#.#.##..#.#.#.#......#..##.##....####....#.#............#####.#.#....###########.#..##..###.##...####..#.#.#.##.##..##....###..##.###.####.#####....#.##.#.#.##...#########.##...##.##..#..##.#.##....##.#.######.#######.###.....##...#.##.#...######.#...##.##.#......##.#.#..#.##.##.###..#.#.##...###.##.....##..#...#
##....######.##..#.##.####.#......#.###.#.##.#.#.###.#..#.#.#.##.##........#.#.#....#####...#...#.#.##.#...#.....#####.####................######........##.##...##.....#.####..######.#...##.##.##.##....###.######.#.#.##.########.##......##..##..#.###.###...###########..#.#.#######.#...##..#.........###.#####...####.###....#.##.#.#.##.######..#######...#.#.##..#..##.#..###.##..#.##.......####.########.#.#...............####.#..##.##.#####..##.#.....####.##.#...##.#......#.##.##.#.#.#####.#.........##.##............####.#.#########...####.#..#..##.#..##..###..###...#......#####.##..#.#.#.##.#.#.........##.#.#.....###..#.#####.#....#....##..#.........###.#.##.#.#.##.###....##..#.#....##.###.##..#...#.####...#.######.####.#..##..##.##.##.##.###
###.#..##.#..##.####.......######.#..###########..#..##.....###..####.####.....####...########.##.#....###...###.......#....###.#.##########......##.#.#.##..##.##..#.#.#..####.##.....##.########...######..........###.#####.#.#......#.##.#######...........#....###.#....##.####......###############.#.#....#.####..........##...#......##..##.###..##.#.###.#.#.##.###......##...###.#..#######.#.#....##.#...####.#.####.#.##.###.####....#......#######.#.#.##...#####.#####.#.##.#.#######.####.#..#######.#.#...###.##.#.#.#.#.#......#.#.....#..##..#.###.##.##.##.##...##...###.#.#.##.....#..####.#.#..#####.###.#.##.#.#.#.#...##.......###.#.###.#########.###.#####.#.####.####..##.######.#.##.###...##..##.#.#.#..#####.#...##......###.####.....#..#.#....#
#.####......#####.####.###..........##......#.###.##.######.##..##.#####.#####.##.##.##...###########.##.###.##..#.#.#.##.#.#...####.........#.#.#####.#.#..##..#..##.###.##.....####.##.....##.#############.#.#.##.#...#.........###.##.##.#.......##.###.##.##.#.....#.#.##..#....####.####.#.##..#..########.#...################.######..##.##.#.#.##..........#..##########..###.......##..#.##.#.####.#..######...#.#....#.##.##.......#.####.##########.########.#.#.###.#...#.#..###....##.#......##.......#.###.###..###.#####...#.#.##.###.#.####..##.#.###..#..#...#.#..#.###...#.###..##.##.#######.#.##.....##..######.###.#.#.#..#.#####...#.#......###.####....##...#...##..#.##.##...##...###....#.#.###.####.#.##.....####.####.#.#..##..#.#.##.########.###
#....######...##.......#...#.##.##.##..#.##.......##.#.#....###.....##......#.........###.#.#.##...#####......##.#.#.#.##.#####.##...#.#.##.##.#.#.....####..##.#.##..#....##.#.##....##.#.#.#.....#.#....#...#.#..####.##.###.###..##.#..#..#.##.#.######...###..#.#.#...###..##.#.##....#......###.#.###.##......#.#.#.##...#.#.#.#.##.####.#...#.#....##.#.#####.##.##.####..##.##..#.#.#..##.#.#..#..#.#.##........########.#..#####.#.##.###..........##...##.....#......##.###.####..#####....####.#..#######.#.#...#...##...##....#.#.###...##.#....##..###.##..###.#.######.#.##..######..######...#.##..#..####.####...##...##..#.###.##.....###.#.##.#.###.....##.#.##..#.#.#.###....#..#.#..###...##.#####..####....#####.##...##....###.##..##.#.#.##....#.##....#
####.####...#.##.#.#.#.#.#.#.#####.###.######.###......####...#####.#..#.##...#.#.#.#.#...#.#..###..##...###.#####.#.#.#..###...#..#.###.#..#..#.#.#.#.#....##..#########.#####.#..##.#..#.####.##...##.#...#####.##....#..#...#...##..#.###.#.######.###..#.#...######.#.#################.####..#....#.#..########........#...................#.....##....#.###....#.##..#.##.#.....##.#.##......##.##......####.###.#..#.....##.#.....#.##.####.#.#.###..###..###.#...##.###......##...##.....#.##....#.##.......#.######.#####..##.#.#.#.##..#....#.##..##.##.....##.#.#....##..#.#..##......###.....#.#....###.####....##.##..#..####..##..##.##..######..#...#####....#..##.#.#.###...#.##.##.#.###..#..#.....##...##.##..##.#.##.#..#.#.##....##..###....#.##....##.#.#
#.........#.###..#.#####.#####......######.####.######.##.###..##.....#####.#.#######...#...#.##.##.#..#.##...##...#.#.##.#...#.##.###...#.###.#.#####.#.##.##.##.........##.##.##..####.#.##.######.########......##.#.#.###.####.#..##.#...#.#...#......######.##.....###.###.###......#..##.##.####.#.#.##..#####.##.#.######.#####.#.#.###.###.##.#..#.####.####.#..##.#..#.###.#..###.#######.##....####......#...##.####.######.#.##.##...##.#.#...##..##.##...###.##.##..##.#.####..#.#.#.####.##.#.#..#.##.##.#......#.#########.#.#..######.##.#####..#..###.#....##.#.###.####.###.##.##.####.####.##.#...#....#########.##.#....###.##..##.##......###.###.####.###..###.#.##..#.#..########...##.##.#.###..#..#####.##....#.#.##.####.#.##..#####.#.#..######..#.#
#.#.#.##.##...##.####.#####.####.##..##...........##........##.###.#.##.#.#######.....#.#.#...##.#....##..##.##..#.#####..##.##.##...#.#.#.#...####....###..##..##.#####.##......#####...#.#..........###.....#.#.##..#.#####.#....##.##.##.##.#.#...###.##.#.########.##.........######.####..#...........###........###.##.....##....###.#####....########.#.......##.##.##.#.#####.##...#.......####.###...#.#.##.#.#........##....#.##.###.##..#.#.###..############..#..##.##.###....####.#.#....#..#.####.##.#####.#####.#.#.......#.##..##....#....#.#######.#.##.#.##.#..##...##..##.#..#.......#.##.##.#######.##.##.#.#########.##....#.########.##.##..##.......####.#...#####.#.##........#.#.##.##.#...#.##.##.....##.#.####.#####.###..#####..#.###.#######.####
###########.###..#...............##.###########.#....##.#.#.#......#.#............#.#########.##.###.##..##..##.##.##....#####..#..###########..#.#.#.##...####.##.#......##.##.###....#.###########.##...##.##.#.###.####.#..#.#.#####################..##...#....#....##.####.###.#.#...####.##.#.##.###...#####.#.##...#..#.#.##.##.##..#.....#.####........#####..................#########.##......#...#.#.#..#####.#.##.#.##.##.#.#..#....##.#.#...##.##...........##.##..##.#...##...#########.######....#.....########...###.#.#.#.#..##..#.###.#....###......#..#.##.####..#..##.#####.#.#####....#.##.##......#...#.#.#.##.#.#...###.####.#....####..##..###.#.#..#.###.#..#.#..#..#.##.#.#.#.#######.##.##.##..#.#.#.##.#.#.####.##...###.....##...###.#.....###.##
##.#.#.#....#################.##.####......#######.#.#..###.##.##.##.###########.##.##...............#..####.##.##..#.#.##.#...##.##...........##.########.##...#########..#.#..#...##.####.##.......####.#..#..###...##.....##.###.##.....##.#.##......#####.####.#########....#.....###.#.......#.##.##..#.......#.###.###.#.#.####..##.########.##...##.#####.....##.##.#.#.##.#.#..##.#.###..##.######.##.####.#.....###..#..###..#.##.##.###..###.#.##..#.#.######.##...##.##.##.##..###.#.#...#####....##.##.####........#.....#.#.###.########...#.#.##...####.##.#.#.....#.###.#...##...#.#.....#.##..#.######.####..............#..##.#.##.####.##...##..####.####....##.##...##.#.####..#.######.##.###...###..####.#..###...........#...#.#.#..###...#...###......#
#....#...##...##..............##..########.....##..#.#####......#.#..###...#.....##.###.#.##.#.##.#.###..##..#..#..#######.###.##..###########.#...#.##.#..###.##.#.......#####.##.##..#.....#######...##.##.##.#...#.#####.##..#...#..#.#.........##.###......##..#...##..####.#####.....######.##.##..##.##.#.##.###.#########..####..###.######.#..#..###.....###.##.#..###.##.#.##.#........###.##.....##.##.#######.#...###...##.############..##.#..##########....######...#.#...#####..#...#.#.....#.###..###....##.##.###.#.##.#..##.#.#......###.#..#####.#..##.#.###.#.###.#.##.#####.#########.##.##.#......#.######.##.###.###.##.......##......#..#####......###.##..#..######...#####..#.#.......####.####...####.##...#.#.#####.############...#.#.######.#.#.#
####.###.#..#.###.#.#.#.#####..##.#.##.....#.#....##.#.....#.#.####.##.###...#.######.###.#..#.##.#.#...##..########.#.#........#.##....#...####.#......##..##.##.#######...#.####.#..##.#.#.....#####.#..#..#..#.#.###.....###.###...######.##.#.##..##..##.#.###.##.###.##.##.#.#######.........#.#..#####..###..##...#.#.#....##....##..........####.##...##.####.##.######.#..###..##.#.#####....####.##..#.....#.######.#.##.##..##.####......##..#.####.#....####..##....#.####.##...##.#####...#.#.#.##..#######.##.#..#...####.##.#..#...####.##..######.....##..####..#.###.###..#.....#..........#..####.##.##...###########.##...#.#.########.##.##..##...#.#.##...######..#.#...#...####.....#.#.#...##...##.###.##..##.##.#.....######.#.##....#.###......###.#.#
#..#.....##.#...#.#.###.#.....##..#....##.##.#.#.###########.#...####......######.........#.##.#..#.###.##.##....###.#.#.####.#.#..##.#...#......####.#....###.##.........#.#.#....##..#########.#.....##.#.###.###..###.##.#.....###.##.....##.#####.########.#.#.#...#..#.......#.#.####.####.#.#######.#..####.#####...#.###.##..#.######.#.##.##....######..#....##.#......##..##.##..###.....##.#.....########.#.#.#.##.#.#..#####..#.#..#.#.######.##...####.####.######.#.##....###.......#..###.#.#..#####.#.....######.#.##...#..##.#.####....##.##.#...#.#.##.##....##...#.###.###.##.#.#.#.#.#.###.##...#...###.....##......##.#.###.....##...#...#.#####.#.####.#....#.##...##.##.#.#.#..##.######.###..#.####....#.##..#####.##...........######..##.#.##...#.#.#
##...#.#######.##############.###.##.#..#.#..#.#.#.###.......#.###.#..#.##...##...#.###.#.###########...##.##.##.........#....#.#.#######.##.##.#####.###.##...#..#.#.##.####.###.###.###.#.#......#.#....#.##..#...##....#####.#.#...###.##..###.....#.....#........#.##...##.##..........#....#.##........###.####.####........#######.....#.##.###.#.#.##...###.#.#..#.#.##..##.##.##.#####.#.######.#.##...###.............####.####.#.##.#####..#...##.#..............###.#..##.#######.###...##...#.######.#...##.###.#####.##.#.#.#####.##...#.##..#....#.#.#.#..###.#.##.#.....#..##.#..###.#.#.#..##.###.###.##...#.#....###.##..#.###.#.######.#.#.#.##.#..#..##..#.#.##....###..#..#...##.##...#.##...#.##....##.#....##...##..##.##.#.#.##....##..##..#..#.#######
#..#.#...##....##..............##..#.#.##.##.#.#.#.....#.#.#.#..##...##..##.##..#.#.#...#.##..........#.#...#.#..#.##.#.##.##.#.#.#.......##.#..##.....##..#.#.#.##.#.##..##......#...#.......#.#.##.#.#.##.#..##.#..##.#.#.....#.##.##....##.#...#.#.#.#.#...#.##.#.#....#.#..#..#.##.##.###.#.#..##.#.##.##.............#.#.#.##.......#.#.#.#..#...#.#....#.#...#.##.#.#.#..##..##.#..#.....#.#......#.##.#.....##.#.#.#.#.##..................##...#.##.#.#.#.#.#.#.#.##...#.##..#.......##..#.##.#.#.#........#.##.#..........#.#.#..##....##.##..##.#.##.#.#.#.##.#...#.#..##.#.###.##.##.#...#.#.##.##.#...#...##.#.#.#.#.##....##.#...#.#...##...#.#.#.#....##.##..##.#..##.#..##.###.#.#..#.#..#....##.##..#.##.#..#.##.##.#..#.##..##.#.#.##.#.####.##.##.##.......#
############################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################E#

#S##############################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################
#.##.##.##.##.#.##.#.##.....##.#...##...##.#..#.#.#....##.##..#.#.##...#.#....#.#.##..##.##.#..#.#.##.##.#.#..#.#.#.##.......##....##.#.##...##..##.................#.##.##...#..#.##..#.##.#...#.#.##.#..#.#..##....#.......##.#.#.#.#.#....##.#.#....##.##...#.#.#.#.#.#..##.#.#..##.#.#.##.#.........#.##.....#..#.##.#.#.##..#..#.##.#.#.....##..#..##.#.#..##.#.#..#.##.##.##.#.#.##.##...##.##.#.##.#.......##.#.##.#.##.#.......#.#.#.#.##.##.#...#.##.#.#.#.#........#.....##........##.#.#....##.##.#...##.#..##.##..##..##.#.......#.#.#..#.##..#.#...#.#....##....#.#.....##.#.##.#.#.##...##.#.#.##.#.##...#.#..#.#..##.#..##..#.#..#.#.....##.#.##..##.##.##....#.#.#...##.##.##..##...#...##.#.##.#..##.#...#.#......#....##...##......#.#.#.#..##.##.##..##.#.#.#.#.......#.##.##..##.#.##.#..#.##.#.#.##.##.##.#
#..#.#..........##...######.##.###.####....##.....####.##..##.#.#.####.#.####.#...##.##...#.##...#.#...#.#.##.#.#...#####.####..##..#.#..##.##..######.#######.#.##...#..####.##.#..##.#.##.###........##.#.##.###.#...#.###..#.#.#.....###.##......#.###.####.#.#.#.#.#.##..#.#.#.##.......#.#.#.#.#.#......#.#.##....#.#....##.##.#.#......###..##.##.#....##..#.....##.##....#..#.#..#.#..###.......##.#######.##.#.##...##.#######...#.#.#.##..#.###.#........#.########...##.#######.####....##.#.....#.##.##....##..##.##..##..#######.......##..##.#.##.##.####..####...#.#.###..#.##.#....###.#...........###.##.##...#.##..##.#..##.##...#####.##......##..##..##.###.#.##.##...#.###..#.#...#...........##....###.######.#.#######..#.##.#...#.#.#.##...#.##.##......#...#######.##..##.#..#.#....##.##.#...#...#.#..#
#.##.##.#.#####..#.###....#..#.##.......##..####.###...#..##.......#...#...##.##.##..##.#.#..###.#.###.#.#.##.....###.##...#.#####.##.##..#.###....#######..#########.##..#.#.##...###.#.##...######.####.#.##..######.######.#.....###.....####.######....##....#.......##.##.....########.....################.#..####.##.###..##.#.#####.####.##..##.#.##..##.##.##.##..####.##.#.#.##.##..#####.####................###.##.#.##.####..........##..##...####.#....##..##..#.#...#.#.#....#####.#####.#.##.#..####.####.##.###.#..##.#.....#####....###.#....##.#.###..##..#.###.#.##...##...####.#...########.##......####...###....##.##.##.###...#..##.#####..##..##..#.#...##..###.....#.#####.####.#.##.##..#.##.#.#..###...#..##.#...########.##...#..###....#..##.##.##.###.#.#.#..##.#..##.#.##.####....#.###.###.##.#
#..#.##.###.####.#.#.####.##.#.############..........#...#########.###.###....#..##.###.####.##....###.....####.###.#.#..#....##.#.#...##.#.#...####..#..##.#.##...##.##.##...#..###.#.#....###.###...##..#.###...#.####........#.#.#...##.##.#....#.###.#..####.####.##..#.######.#........######.#.#.#.###..#....##..#.#..#.##........##..#....###..#.####.##...###...#.##.##.##.#....#.##.##.##.....#.########.#####..##.#..#.##....##.#######..#.##########.####....##########.#...##.###...#.#..####..#.##.#.....#.#.##.#.....###.###.#.#..#####.#.#...#.##........######.###.#.##.#####.##.##.######.....#.######.##.#..###.####.##.....#...###.#.##...###..##..####.#.###..##...#####.#.#.#.###.##########.##..#.#.#.##.###.##....###..##..#.#..###.#.##.####...##...###....#.....#.##..#.##..#.##..#.####............#.#
##.#.#####.........#.#.#..##....###.#.#.....#.###.######..##..###.......#####...##..##...##...####...#.##.##.....##.#.#######..#.#.###..#...###..#.##.##.......###.#..##..###.##.##..#.###.##...#...#..##.....##.##...##.######.######.##...#...#.##..##.##.##.#...######...#.#.##.#.#.#######.##........#.##.##.#..#.##...##.##.#.##.##########.#.##....##...##.######....#.#.....#.####.##.##.#..########.......####..###.##....####.#####.##.##.#...##.....#.#....##.###.#.##.#.##.##....###.#.#.##.#..##.#..####.##.#.#..#####.##....######...##......########.##.#..##.#..#.#........##..#..##.#.##.#####....##....##.##.....##...######...###.#.#.##.###.##....###.#.#.#...#####..##.#.#.#.#..#....#.##.##...#.####.#.##.#......#####..####.....##.#.#.##..###.###..####..####.#####..##...##.##.###.#.#.##.#.###.#.####.#
##.#..##.#########.#.#.##..###.##.#.....###########.#.##.####.#...#.#.#.#.#.###.###..##.####.##.####...########.##..#..####.##.#.#.#.##.#.####..##.#.....####.##.#.##..##.##...#.##.##.##...###.#####.##..##.##...#.#..####..######..######.##.##.###..####.#..##.##....###.#....#.#.#.#..##...#####.#.#....#..####.#..###.....######.#.##...#.#.#.####.#####.......####.###.#####.#.##...#..##.##.#.##.#.####.####....##...#..#####...#.#...#..##.#.########.###.#.##...#..........#.###.####..#.#.#..##.##.##.##...##...##..###...#.#####.#.###..###.####..#.#.#######..#.##...##.#########...###....#.#.....#.######..#..###.######..###.###.#.#.....##...#.#####.#.#.#.#...#####.##..........##.#.##....#..###...#.##....#.##.##.##.##..##..#####.#..#.#.##.##.#.#.##..##..####..##.#..###.#.#.....#.#...#.##.#########....#
#..#.##..####......#.#.###.##..#..####.##.#####..#..#.##.####.##.##.###.............##...#...##.#.####.#.#.##...##.##.##.#..##...#.#.#......#..##....######........###.....###...##.##.##.####.....#...####...##.#####.##...##.##.##.##........#..#.##..##..#.##...####.....##.#...######.####...##########.#.###.#.##.##..######.#.#.#..#.#.#......##........###.###..#.#.#.#...#.#.####...##........#.#.#.##.###..##..###.##.##..###.#.###.##.##...###.####.##########.#.########.#.#.#.##.##.....##.....#.#...###.##.#####.#.###....#.#....#.##.#.#.#.##.##...##.#####.#..###.##..###.#.##.###.####.#.###.###..#.#.##...##...###.#..##.#..##...#.#.#....###.#.#...#.#...###..#.#.....###.###.##..#######.##.#...###..##.###.####......##..##..##.#.#.##.#.#..##.#.#..#.##..##..##.#..#.##...###.#.#.#...#.#......#...###.####
##.#..##....####.#.....#.#..##.##..#####....#.##.##...#...##..##..####..#.##.#.####.###.##.####..........#.####..#.#...#.##..###...#.######.##.########.#...#.####.#.####.##.###...........##..###.###.#.#..####..##....###..#.#..#...######.####.#.###.###.#.##.###..#####.######..#.##...#.#.###.##.##....#...........##....##........####.###.##....##########..###...#.#.###......##..#########.#...#.#.####.######......#.##.##.#.#.###.....##.##.#.#....#.#..#.#...#.#...#........#.##..#####..#####...#.#.#...##..##.#.#.#####.##.####.#..........#.....###..#.##....###...##.#.#.#.#..#.#.##.....###.#...##.#.###.#####...#.##..#...##..##########..##...###.#.#.###.##...#.#.#.#...#....##.##......##...#.....##..#.#..##..########..##..#...#.#....##.#..#.##.#....####.#....##.####..######.#.#####.######.###....###
#....####.#####..###.#.....##..#..##..##.##.........#.##.####..##.##.#.###########..#.........#.########...#.###...###......##.###.#..##.....#..##..#.#.###.#.#.......#.#.##.#.####.#############..#.#.#.#.##....######.#.##.#.##.#.###.##.####..........##...##.#.##.##.....######.#.#..#.#.....#.#...####.##.#.#.##.#..#.########.###..##..#######.####..#.##.#.##.###.#.#.###.##.#####.#.#..######.#.#.#..##.......##.#.#...##....#.#.#.####.##...#.#.####.#.##...###.#####...##.#.#....##.###.##.#...###...#####.###.#....#.#.##..##.#.##.######.###...########.#..###.##.###..#.#.#.#.##...#.##.###...#####.##.#.#....##...#.#.###.##.####.#.###......###.###.#...#...#.##.##########.####.##...######..#####.#.#..##.#.#.####.....##.##..##.###.#.#.#####.#.##.#....#.##.##.#.##..#..##..##.#.#..#.#.##....#.#....#.####.#
#.##......#.#...##...##.##..##.##.##.######.#########.#...##..#####....##..##....##.###.##.######.####...#....#..##########.##.###.#.#######.##..##.#.....#.#.####.##......#.#.##.#...###...#.#.##.....#.#..####.##.#...#.#....#..#.##...#.##.##########.####..#.#.#..######.#.#......####.#####.#.###.#.##.######.#..##....#..##.######.#..##..#.####..##........##.#.#.#.#.#.#.#...#.#..#.#.##..#####.#.#.##..#.#.#..#######.#####.......#.#...###...#.#.#.....###.#....##...#..########..#.#......#.#####.#..##.#.#.#.####.#.#..##.##.#......#.#....#.###.#.#.#..##.###.##.....##..........#...####.###..##...##.#.###.#####.###..##.##...##.#.#.######...#.##..#.###.###.#...#..##...####...####.#.#.##.##.....####.##.....##...######.##.##...##.#.#..###.........#######.##.#.###...##..###...##.#.#..##.###.#.####...#..#
#######.###.###.###########.##.....#.#.##.####..#.##....#####.##.####.####..####....#.#.#####.##.....##.#####...####......#.#..#.#.#.##..##.....###.#####.########..######..........###.###.#.#.######.#.##..##...#.###.....##.##....#.#...##.............#.##.#.#.#.##..##....#####.####..#.##...............#.##.#.#####.##.###.##..#..#.####.#.#..##..####.###.##.......#.#.#.##.##.#.##.#.#..##.##....#.#..#######.##.#.....#.##.#.###...##.##.###.#...####.##.#.#.#############.#.##..##.####.#...#.#.####.#......#.#........##..#..######...##.#####.#.#...##..#.#....####.#####.##.##.##.###.##.####..###.......##..#.#...###..#.##.###..#.#.#.##...###..##.....#.##..##.##.##..####.###.#.#.......#.######..#.#####.#.##..#....##..#...##.##..#...##.#.###.#.#####.#.#.##...#.#######.#.##.##....#.##...##.....###.##.##
##.###...##..####.#..#.#.....#####.#.#.#..##.##....####.##..#..#.#.####.#..##.#####.#.#.#.#.#.####.#..###.#####..#.######.#.#.##...#..##..#####.##...##....#.#...####......########..##..#....#.#..#........####.##.#.########.#####.#####..#.#.##.######.#.##.#.#...###.#..##...#....#.##.#....###.###.#.#.#....#####......#.#.#.###.##.#.#.#..#.#.####.#.####...########.#.#.####.#....#......###..####.#.#.##.#.#...##.#.###.#.####.#...#..#.##..##.#.####........#..#.#.......#.....##..#.#..#####.#.#..#.#.##.#.#...###.##.#..##...##.#..###.......#..#...#####.#.####.......###...####..#.#.#.#..#.###.#####.##.###.##.###...##.#....#.##...#...####..###..###.###..##....##..##..##..#.#.#.#######.#..###...##..##.#.####.###.#####.##.##...##.#.####.#####.###.#.....#.####.#.###.###.#.##.#####......####.###......#..#
#....###.##.##.#..#.##.#####.##......#.##.#...####.......##.##...#.#.#..##.....####.#...........#####.##.....###.....##.......####...####.##.#..###.######.....####.##########.##...####.#.####.##...###.##..##...#.#..##..#.....###.###...############.....##.....###.#.#######.####......####...#############.##..###.###.....#.#.#.#..#...##.#.#.#.#......####..#.##.#.......##..####...######.##.##.#...#.##...###....####....#..########...#..##..#.#..###.####.##.#.#######.#####.###.#.##..##.#.#.##......#.#.###.########.###.###..##.....##.####.##.####.........#######..#..#..#.######...##...#.#.#..##.#...#..##.##..###..####.#..###.#.###....##.##..##.....##..#####.###.####.........#.#.#.#.##.###.##.##..#..##..#.###.##..##.####.##.#.##.#.###.#..#....##.##..#.#.#......#..#.##..###..######.#...#########.##
###.##.#..#.##.##...##........######.#.#....####...##.##.....##.##.....#######......#.##.#####.##.##..#..#.#.....############..##..###.#...#.##.#.#.#.##.#####..##...##.........##.###.#.#....#.##.#########..##.##.##..##.#####.#.....###.#.#.#..##....#.#..###.###...#..##.##....###.###.#.##.###......#.#.....##..########.###.#...##.#.###..#.#.#.######..#.#.##....##.###.####.#.####...###..##.##...########..#####.##.##.###.##.....####.#.####.#...##.####......#..##...............#....##..#.#.##.####.#######.#.##.##..#.#.####..##.#####.#.##.##.###..#####.###.......##.###.#.##.##..######.#.....#######.##.#..##.###..##..#.##.#.#.#...####.#..##.##..#######..###..##..##...#.#####.#.#...#.##..#......##...##..##.##...##..#..##.....#.#..#.#.#.#.##.##..####.##.#.#.##.###.##.###.#.##.#.###..#.#.#.#.#.##...#
#...#..##.#.##..###.########.##........###.##.#..#.##.#..###.....#####...##....####.#.#####.####...##.########.#..###..#.#####..##.#.#.###......#......#.##..##.####.#..#######....##....#.####..#####.##.###.......##.##...#....###.#####.#.#.##..#########.......###.##.#..#####.#.#.#.....##.##..#.##.....#.#..#.##.##.#....##.###..#.#.#.##.#.#.#...##.##.#.#..###.#####.....##.#..#.#.###.##.##.####.###..#.##.#.#.#.##.#..##...####.##.......#.#.#.###..##.####.#.#.#################.####.###.....######...#.##.....#...##.#.#....##..######..#..#.##.#.####.###...#.#.#.#....#.###..#..##..#.#.#.#####.##.##...##...##....##..##...##.....##.##.##.##.##.##.##..##.#.##.##..##..##.#####......#.#.#..##.##.##.#####..##.##.####..##.#.#####.###.##...#.#.......#.##.......#....####..##.#.#.#.#........##.###.#.#..##.##
###.##.##.#.##.###..#.#.##.#..########......#.####..############..##.##.####.###......#.#....##..###...##..######...##.#.#...##..#.#.#.#.######.######...##.##..#.##.#.####.#####.######...#.##.###.........##.#.##.....###.##.#...#.###.....#.#..##...#.#.##.##.####..##.##.........######.#######.#####.#######.#.##.#..####....#.##.#.#.#.##.#.#.###.........#.###..##.####.####.##.#....##.##..#.#....#.##.#.#.........#.##..###..##..########.....#..###.#..##.###.#..##.#......####.#.#.##.#.#####..##..##.##..#####.##.##..#.#.######..#...##.##.#.##....##....#.##########.###..##.##.###.##.....###.#..#.###.####.####.####.#####..#####.##.##.#...#.#..##..##.##.#.##.#..####.####.#.######.###.#.##.....#....#...##......###.##.....##.#.##..###.##.#.##.#.#########.###.#####.##.#..#.....##.########..##.....###..#
##..##.#....##.#.##.#.#.#....###.......#.##.....###.######...####.##.##..###########.##.#.######.#.###.#..##.##.##.##....###..##.......#.###.........#.#.....##...##.####.#...###.#######.##..#.#.#########....#..####.##...######...#...#.#...##..###......###...##..###..#########..##.....#.#.##.#...###...#.#.#.#..##..######...##.....#.##.#.#.###########.#.##..###......#.#.....##.#.......##.###.##.#....#########...###...##.###..###.#.#####.#.##.#.##.#..##....##..######.#.........#.#..##.##..##.#...##.#......#.###.#.#..##..##...###..##...#..########...#.##.#.#.......##..##.#.#..#####.....##....#...##..#.#...##..##.#..##.#...##....###...#.####.#...#.#..#.##..##..#.#..................#####.###.##.###..######.#..###.#.##.#.###..##..#....#####.#.##..#..##...#.#.#..##...###.##.###.##.#.##..#.#.##..##
#..##..##.####.#.##...#.####...#####.#########.##.###.#..###.#.##....###..#.#.........#.#..##.#....#.....##......#.#####..#..#######.###.#.#####.###.#######..##.###..#.#.##.##....##.....#..##.#..###.##.##.#.####.#..####.#.##...#.#########.##.##...##.#...##.##..##...####....##.##..##.##.#.######.....#.......#.####.#.##.###.######.#.##.#.#.#.##.#.#....#.#..##.######.#.###.#..####.######......##...####.........#..#..####.#.#.##......##.#.#.##.#.#..#.##..##..##.##.#.....#.#####.#.#.##..##.##....#....######.#.#.#.#.##..##..###.....#####.#.##..##..###.#.##...####.##..##.##.#.#.##.#...#.#..####...#####.#.##.####....##.##.###....####...#.#.##.#.#.###...##..##.##.##.#############.##.#...#.###.#..#.#.##..###.....##.###......#.#.###.##.#####.#..#..##.#.###.###.#.#.##..#.#.###.........#.##.####.###.##
##..##......#..#.####....###.###.#.####...........##....###..#.###.#.#.#.##.########.##.##.#..####.#####.##.#.##.#.#.####.#.##.......#.#.#.....####...##.#.#.##..#.##...#.#...##.#..#####.#.##....##....#..#.####.#.##..##..#..#####.###..#.#...#.###.##..##.##...##..###..#.##.#.#...####...#.#..##.#..######.##.#...#.##.#.#..#.#.#..###.#.#..#.#...##...####.#...###.#.##.#.#..#####.##....##.#######.##.#....#######.####.##..##..#.#.#######......#.##.#.##...###.###.##.##.####.####..........##.##..####.#.##..#.#..............##..########.#..##.#..##....##......#.###.#...#.###.#.......#.########..#.###..##.........#.####.##.##.#.####.##.###.#.#.##.#.....#.#.###..#.##..#.#..##.#.########.#.#....#..##........##.#####..#.##..##.###.#.##.....##.#..#.##.##......#.##..#....#.####..##.#########.#....####....#
##.##..#.#.##.##.#.####.##.....#.#.##.#########.#####.#...##....#..#.....##.#.#......##....#.##.#..##....######..............###.#.#...#.#####.##.##.##..#....##.#..###.....#######..##...#.#..##..####.##.####.....#..####...##.##....##.#.###....##.######.###.###.##.#.##.####.#.###.#..###.#.##..####.###########...##.#.##.#.#.#.##.#.#.##.#.###..###.#......#..#..#.#......##.#....#.##.##.#..###.....#######.#.#####...###..##.#....##.##..#.#.##.##.#..###.#.###.#..#....##.#######.#.#.###.##.#..###.#.#####...##.########.######..#.##....#.###...###.#########.##.#.#.##.#####....#.#####.#.##.#.##...#.#.#####.####.##....#.##.##...........#.###.#.#..#.#.###.###.##...###.#.##..........##.########.##....###.#####..#.###.#..####..##.......##.###.#.##.##.###.#####.###.#.####..##..###..#..#.#.#...##..####.###
#...######.##.##...#.....#####...#.#..##..#.#.#.##.#####.######...##.#.#......######.####.##.#..#.######.#.#.#..#.#.#####.##..##.#####.#.##.##........##.##.####.#.##.#####.#.##....#####.....####.##.#.##.##.#####.#.#######.#..###.###......##.#..###.##........#.....#.##.#.#.....##.##.#.#.#.#..##.#..#.#....#.####.##............##.#...##.#.##..##.#...#.##.##.#.##.#####.##..###.#####..#...##.###.#..##.##..#.#.#.###.#...###.##.###..###.###.....#.#.##...#.##..##.#.#.##..####.#..#.####.....#.##...#.#######..####.##.##.###.###.#.#..##.#.##..###.#...##.#.....#...#.....##.##.#######.#.#.##.#.####......#.######...####......#########.##.#.##....##.###.#.#.##...###..##....##.#.###.#..#..#.##..#.#####...####..#.##..#..#.##.#..###.####.######....##..#........##.#.#....#.#.##..##.#.##.##...##.######.##.###
##.##.#.#......###.####.##..#..###.##..##...#.#..#.#.#.#.#.##...#.##########.##......#.##.#..##....##.#....#.######...#######..####.##.#.#..#########.#.....##...#.##.###.#.#.#####...###.######.####.#..#..#.#..#......##....##.#...#.#####.######..##.#########.#####...##.....#.###..#......#.##.##.##...##.#....#...##.#.########.#..###..#....##.##.###.#.##.#....##...#.#..##.#.#..##.#.##.#.##.#.###.##...##.#......#..###.##..#..#.#.##.#######.#.#....###....##....###..##.#.#..##.#.#....#.#.#..##.####.##....##..........#.#.#.#...##.#....###..##.##.###.#####.###.#.##.##...#....##.#.#.#.##.#.#.#####.###..##..##.##..######..#.#..#####.....####.#...#.......#.######..#.#####.########.##.#..##...#.#####..#.##.#.###...##.##.##.##....####....##.#####...########..#.##.###....##.#..........#.##.##.###..#...#
#.......####.###....#....##.##...#....#####.....##..........##.####.#.##.....#######........###.####..####.#.##.....###.#..###..##.......#.##..##.....#####.###.##..#.#.#.#....##...#...#....##...##..##...##.##.####.#######.#..#.#.........##.####.##.#.#.#####.......##########.#.##.###.####.##.#.....#.#######.##.##..#######....##..###.#.#.###.##.#.######.###.####.##.#.##..#.#.##.....#.####.#.#....#.###..######...##....##.#.##...##..##.#####.##.###...########.####........#########.####.#.##..###...###.###.##.#####.#...#.###..######.#.#.##...#.##...##.#.....###...#.###.##.#..#....................##.#..##...##..#..###.#.#.##..######..#.#.###...#######..##.#..##...#.###...###.......#####.........##.##.#..####....#...#..##.###..#.##.##...#.#.###.#.##.##.#.#......##......#############......##...###
####.##......#.####.##.#....####.####.#.#.#####..#####.####.####.##......###....##...#.#.##..#..##.##.##......#####..##.##.#.##.#####.##...###.##.###.#.......#.#..##.....##.##########...#######..##..###..#.##.###.....###..#.############.....#.#.#......#.....#.#.#..##..#.#...#.#......##...#..###.#.#...#.#.......#.##.....####.##.##.....###...##.#..#.#.###.#....#....#..##...#..#####.#..##....#.#.##...##.....####.####.###....###.##.##.....##.....####..###..#.....######.#..#.#.#.####.##.#.###..#..#####...####.#.....#.###.#.#.##..#.....#.##.###.#..###..#####..###.##...#.#####.##.####.##.#######.####.##.##.#..##.##.#.#.#.#.##.##..#.##...#...###.......##..#.##.##.###..####.#.#######....###.#.#.##.##.#..#.##.#####.###.#.###.##..####..##.###.....#....#.##.#...#######.##.#.###.#...#.##..#########.###
#.....####.#.#.##.#..######.#.#..##...#.#..#.###.#.#...###....#..###.#.#######.#####.#.#####.##.##.##..##.#####.#.#####...........#######.##....####..#######...#.#######..#.#.##.######.##..##.##....##.##.#.#....##.##.#.##.#..##..........#.###.#.######.###.#.######..##...###.#.##.###..###.##.##..#.###.#.###.##.#######.#...#..#..######..####.##.##.#...##..####.####.##..###.#.####...#.####.#####..#.#####.##....#..###...##.#.##..##.######.#####.##.#..##.##...#.###########.#.#.#.#.#..#..#...##.##.#.#.##.###.#####.#....##.#....##.#####...##.#.#.#.##...##.....##.#....###.#.#.#.#..#....#####......##...##..####.#..##.#.#...#.##..##.#..###...######.########.#.#..##.#.##.#.#.......#.###.#..#########.#..##.#.#..#..##..##.#......#.##.##.###..##.#####.####.##.#.###.....###..###.....###..##.....##......#
###.########....#.##.##..#....##.####.#.##.......#.#####.####.#.##.#.####.......##.#######......##.#..###...##.....##.##########.##.##....#####.##...##..##.###.#.##..#.##...#..#.#.#.#...##.#...####.##....#.###.##...###.#....####.###.#.###.##....#......########.####..###........######.#.#.#..##.#####........#...##..######.##.##..#.####..##..##.#..###.###.......#.#..#.##......#.#.#.#.##.....##..##.##..#######.##.#.##.##..#..##.##..##.#..#.#...#....##..####.###.#....####.#.#.#...##.##.#.####...............##.#..##.#..#.##.####.#.#...####..........#######.##..#.####.#.#.#...##.#.##.#.#.#####.#####.###.##.#.##.#..#.###....##.#..#.##...#..##........##.#.....##..#.##.#.#######.#.#.####...#.#.#.#.#.###.#.##.##....##..#.#.####.....#.#.#.##..#.#.#....#.##.......###...##...###.###...##..#########.###
#...#....##..##.#.#...##.####.##..##....##.###.#....###.......#.##.####.#######.##.##.#..######....#.##.#.########.##.###..#......#..####.#.#.#..###..#.##..##.....##...####.#.##.......#..#.#.###.##.#####...#.#.####..##.####.#..##########...####.######.#.##.##...#.##...######.#####..#.#.#.##..######..####.####.####...#........##.#.#..##..##.##.##...#..#####.##...##.#..#.##.###.###....###.####.##...##.####.##.##.#.#...#.###..#.##.##..##.#.###.##.#..##..#.#.##..#.####.#..#.#...#.........##.##.#######.##.#.#..####..##......##...#.###.##.###.#####.##.##..#..##.#..#.#.#.#.#.###########.........#.#.#..##.##.#.#..##.....####.##.##...####.#.#####.######..#####.###....#.#.##........#.######...........##..#.#...####.##.##.####...#.###.#.#..##.#.#...#.##.##.####.##.##.#######...#####.#..###.##.#.....#
######.#..#####...###.##.##...##.##..##....##..###.##.###.###.#.##.##...#...###.##.#....##.##...##.#.#.....##.##....#.#.##.#####.##.##....#.#.#.##.##....##.#..###..###........#######.###.....#.#..#.#..####.#.#...###..#.##.....##...##.##..#..##...###...#.##.####.#.##.######....##.##.#.#.#....###.#...########.....####.###.####......##..##.##.#..####.#.##..####..#......#####.#.#.##..#.##....##..##.#..#.#.#............#####.##.#.#...##.##.#.##...####.###......##...##...##.#.#.#.#.#.#.###....#####..##...######..###########.#####.......#..##...#.#####.###...##..#.##.#.#.#....#.##.#.##..#.##.##.#.#...##..##.#.##.######.#.#..##.####..#####..##....###.#.###......####.#.#.##.####.#...#.#..####.###.##..##...##.##...........#.##.##.##..#...##......#.####..#..###.#...###.##..###.#.##..#.##.#..#.###.#.#
#..#.####.###.###.#....#..###..#..#######.####.#....#.######..#..#.####.###.#.#.#..##.#.....######.#.#.#.###...#.#.##.#.#..##........##.#.....#.#..#####.##.##...####...##.#.#...##..###.###.###.##...##..#.....#.###.##.#..###.######.#.....###.####...###.#.##.#.#.....#.#.#..####..#.#....#.##.###...#####...##.##.####....############.####.##..#.##..##.....##...########.#..##.#...#.##.########..##..###.##...####.#.#.#.#..#.#..##...###.##......####.##.#...#####.#####..#.#....#.#####.#####.####..##.##.#..####.##..##.#.#..###..#.#.#######...####.##.#.##...####..##....#.......##...##.#..##.#######.....#..##.#........###...#.##..#.#.###.#.##..####.###.#.#...####.####.#.#....##########.#.##...####....##..##.##...#######.##.##.#...#####.##.###.######.##.##...##.###.#..#..##.###.....##......#.##.#.#.###
##.#.##.#.#.#.#.#.####...#####...##.##..###########...#.##.##.##...#.#..##..#.#.##.########.#.##.#...###.##..#.#.#..#...##.#####.###..#######.#.#.##...#....##.###..#####..#####..##.###..#..#...####.###.#####.#.....##...####...##.....######...##..###......#.#.###.#.#...##...###...####.#.##.#.#.####.####.#..#....#####.#.##..........##..###...##.####.#######.#..#.######.#..###.#.##..##.#..##..#.####.####.#.##########.##.#.##..#......#####.##..#.##...####.....#####.######...##.#####.#...###.##...#...###....#.##....#.##.##.#.#...###.#.#..##.....#..##.##.##.####.###.###.########..#.########....#.#.##.##...#####.##.###......##.....#.#.###...##.#.#.#.#.###.##..##......######...#.##.#.##.#..##########....####..###.#...####.##.###....##.##.......###...#.####..##.####.##..#.#####..#.######.##.#.#..##
#.................#.###.###..##.##..###..#.##.#...#.###.#......###...##..##...#.##.#.##..##.#.#..###..#..##.#######.###.#...##.#####.####.#...#.#..###.####.#....##.#..##.##.....##..#.##.##.#.###....#...#...#.#.#.######.##.#.###..##.#####.#.#.##.##.####.#.#....####.#.#####.##.#.###.#.....#.#...###...#.#.##.####..##.#.#.#######.#.#..##..####....#.#..#.##....#.##..........##.#.#.#..##..##..##.#.##.#..#.#....##.........#.#....##.##.#.#......##.#.####..##..###..#.#..##.#.###..#.#.#.#...#......###.###.##..####.#####...#..##.#.#.###...###.#######.#.##..##.#..##...#.#.###.##.##..##.#..####.#..#.##.#.#.....#.#.....#....##.###.######.#.#...##.##....#.#.#.#.#.#..######.###..#.###......#.#####.....#..#.####...##.##.....####.#.##.#.####.#...##.##.#...###....##..##...###..##....##.##......##.....#.##..#
#.#.###.##.######........#..##...##.#.#.##.##.###...#.#.#####.##.###..##....#......#.###.#....##.#.#.##.##..#.#.#.........#.....##....#...###.#...##.#.#......##..#.#.##########.###.#.#..##.#...####.###.###.#.#.####............########......#..#.#..#..###.####.#.#..#..##........#.#...#.#...#.###.###.............##....#..##.########.###.#.#####.#.#.##..####...###.#######......#.##..##.###....#.##.#.##.###.#####.##.##.#.###.########.##.###......#.#..######.##.#.##.#..#...##.#.#.#...#.####.###...#....##..#.#.#.#.###.##......#...##.##...#.##.#.....##....##..###.#.....###..##.##..##..#.#.#######.####.#.########.####.#####.....##....##.##...##.###.#.....#.##..#.##....##.#.########.#.#.#.#####.##.#......###...#.###....#.#..#.#..#.#.##.##..########.##.#..##..##.##.#.##..#.##..##.####....#####..#.##
#####.####.#......#.####.#.##..#........##.#..#.###.#.#..###......###....#.####.##.#.#.#.###.##..........##...#.#######.#######..####.###.#.#.###.#..#.###.##.#..##.....##.#...........##.#....###........##.........#######.##.###.#......#######.#.##.##..#...###...##.#.######.#.#.....#.#####.#..##..###########.##..####.##....#..#......#.....##.#......##.#..###...###.#.#.######.#.##.##...###.#...##.#.##..##..#.########.#...###.##.##..#####..##.###...###.##.....#.##.##.###.#..#...#.######.....###.####.#..##.#.#....##..#####.##.####..###.#.#....#####..#####.##.#...#######.###....##..##.#..##.....##...#..##......##.#.#.#...##.####.#....##.###....#.##.####.###....##.###..#.#.####.........##.#..#..##.###.#.##.#####..##.#...##.#.##.......##...#.##.#.####.###.##...#.#.#####.##.###...##.#.##...##.#.##
#..#...#.######.#.#.#....#.##.#########.##.##...#.....#.##.####.###...#.#####...#............####.#.######..###.##....#######...###...#...#.#.#.#.#.##.##...####..###.####.##.#.######.##.####...#######.######.#.#####....###...##.######.#####.#.#.##.###.##.##.###.#.....##.##.####.#.##.#..#..#.##..##........##.#..###....#.##.##.######.#####.#..######..#.##.#.###.##...................#.#..######.##.#..##..#.##..##..#.#...####......##.#.#.##.#....###.##..##.#.#.......#.##..##.###.####.#.###.#.#...#..#...##..#.####.##.##.....#..###..##.....####.....##.###...##.#.#.....#.#..#..######..#.#.###.#.#..##############......#.######.#.######.##..##..####.##.#.##.#.####.##..###.#.#....####.#.##....##...###.#.#.#.#...##.##..#####.##....#####.###..###..#.#..##....#.#..###....###...#.##..###########.#..#..#
##.###.#.#......########...#####.#.#..........#...###...##.#.#...#########....###.##.##.####.#..###.#.##.##.##...####.##..#.###.#.###.###...........##..#.#######..##.##....###.##.....#....##.#.#.##.....#.###.#####.####.##..#..#.#.##...#..............#.##.##.#.#.#.#####...########.#####.##.#.###.#########..####.#.##.#####.........##.......##.###.###...##.#.###.#######.#.#######.#######..##.....#.##.###.#..##..##.#.###..#.#####.##......#######......##....#######.###.##.###.##..##...#.#.#.#####.##.###.###.#.#.#......#####.#.##.##..#####.#.#..#####..#.###.##.#.#######.##.##..##.###.#.#.#.########.######.######.###.#.##.##......##....##.###...##..#.#..#.#..#.#....##.....####.#.#..#######..###.#.###.....#.###...##..#.#..##.####..##...##..##.##...##..####...##.#.####.#.###.###..#.....##...##...##
#......#...#.##.###......#...#.#.#.#####.##########.##.##....##.##..##.#.###.#############...#.##.....##.#...##.##.#...##..............##.##.####.####.####.#.#.##.....##.############...####..#.#..#####...........#.#.#..#####.##....###.#######.#.##.#....#.##.....#..##.###..##.#.#..#.#.........##...##....##..#.#......##.#..#.#.###....###.#.#..#.......###........#.#..######.##.#..##..##..#######.#.#...##...##..###.#.#.##...#####.#..####.#.###.#####.##########..#...#..##..#...##.####........##..........#.......######..##......#..##.####......##.....##.##..##......##.#.#..###..#.#...#.#.#..##..#.#...#..#........#.....##.####.#.#####.##..#.#.#####.....##.##.#.###.####.####.#......###.#..#.##.#.....##.##...#.##.##..##...##..##.##.##.####.##...#.###..####..###..#..##.....##..##.##.########.###.###
#.#.##...#.#..###.##########.#.#.#.#.##..#.###.#.##.##.#####.....#.##..#...####..##.##.#.###.#.###.####....#.#...#.###.#####.##.######..########...##..####.#.#.####.#.##..##.#..#.....#..#.##.###.##.#.#######.#####...##.#.##..####.##.####......#######.#....#####.#.##..#.##.#..#.####.#######.######.#####..##...####.#..#...########.########.##...#####.#.#######.##.##.#.#.#.....##..#.##..##..##.....##.#####..##.##....#.##.###.......##.......#.....##.##..#.#..##.###.##..##.###..#.#.####.##.#.###########.####.#####...##.##.#.##.#.##.....#####.#######.#...##.###.#####..#...##.##.#.###.....#.####...###.##.######.#.##.##.#....####.##..#..##........######.##..#.#.##...##....##...##.####....##.#..#.###########...##.##.#####.#..###.##.##..##...##.##...##..#...#####.#.##..######.##.....#.######.#.#.#.#
###.###.##.#.##...#...###............#####..............########.#..##.###.##.##.#..#...........#...#.#.##.####.##.#......#######.#.##.###.###.###..##..#.#.#.#....###....##..##.########.#.#..##..#.....##.....#.#####.#....###..#.#.#..##.#####.#############...##.....##...##.##.#.#.#..##........##...#.#.##..###..######.#####.#.#..####...##.....#.##....#..#.###..##..#.#.#.#.###..#.##..##.#..##..###.#...##.#.##..###.#.#.#....################.####.##..###.....##..#.#.###.##..###...#.#.#######..#..##...#...#....##.###....##.###....######.......#.##.#..###.#...##.#.#.##.#.#.#..##.....#####.#..#.##.###..#..##.#.#########.####.#.#...##.#.#####.######......##.##.#.#..#..###.####.#####....##.##.##.#..#.##.##..###.#..##.##.##.#.###..##..#.##..###...#.####.##.####..#....##.#.#.#..##.###.....##.#...#.#.#
#...#....########.###.#.#####.#.###.##.####.#.######.####..###...#.##...#..##.#..##.###.###.###.###.#.###...#.#.##.######.#.##.#.....#.#.#...#...##.##.##.#...###.##...##..##.##.##.#.###.#.##..##.####.#######.#.#.##..####...##.....#.###.#.#...##.##.#.#.....#....##.####.##...#.#...##..#####.#######......##.....##..#...##.#....#.##..###....##.##.#####.##.#...##..##.......######.#.##.##..#.####.#...###.#.....##..####.#.###.##...#.##.#...#.#..##...##..######.###......##.#..##.##.##.#.#.#..###...#####.###.####.##..#####..########...##.#######.#.##.#.##.#.#.###......##...####.######.#.##....##.#..#.##.##.......#.##.#.#..##..#.###.#..#.##.#.....#.######.##..#...#####.##..##.####.####.##...#.##...##.#...##.#.#.#.##.....#....#.#.###.##..##...##.##............##.##.###..#.#.#.##....#.##.###.###...#.#
##.#########..........#.#.########..##.#..#.####.###.#.###.#.###.#.#..#.##..#.##..#.##########......#.##..###....#.#..##.........#.#.....###.###....##....##.##....######.##...#.......#..#.###..#..##..#.##....#.#..##.##.##.##..##.##...#.#.#####..##.#.##.##.###.###.##.#..###.#.#.#####........#.##.#.####.###.##.###.###.##.####.#..##.#.##.#.#######.#......#.####.####.####.###....#.##.##.##..#.#.###.#.#.#.#######..##....#.#..###.#.#..###.#...####.###.##.##....######.##..##.##..#.##.#.#.##.#.###..##...###.......##..##.#.###..#....###..##......#.##...##...#..###.########..##....##........#.##....##.#..########.#.##...#.####...#.#.##.#..#.###.###..##.#..#..##.###.#.#..##..#.##.#..##..#..#......#.#..###......#.#.#..#####.####...#.#.##.##..####..##.###########.....#.##.#.#.#.###.########.#.#.###.#.#
#..#..##...###.#.#.##.....#.##.#.##..#.##.#.##..........##.........##.#..##.#.###.#....#..##.######...#..##.##.###.##..#######.#.#.##.##.###.#...##.##.####...####.........###.#######.##.......##.####.#.#####.#.#.##..#......#####..###.....##.###.#.....###..##..#....#.#.##.#.........##.#####......#.#....#.###......#.........#.#.##.......###.#.###.######.#.#.#..#.#..##...#.####.#.##.....#.##.####..#.#.#.#.#.##..##..##.#.#.##.#.#.##.#.#.###..##...#..##..###.##.#....###.....##...##.#.#.##...#.#.#####.#.##.####.#..##......##.####.#.##..######.#.#..######.##..##.##..##.#.###.##..###.###.######.#..#.##..##...#....##.#...#.##.#..........##.##..#.#.##..##.##..#.#.......##..##.##.##.#..##.#######.####...######.#.#.##.#.##.....##.##.#.##..##.#....###.##.#....#.#####....#.#.#.....#.#.##..##...#.#.....#
#.###..###.#######.######.........##...#..######.#.####..########.##..##..........####.#.##..#.#.####...##..##.#.#..##.#..#.########..#......##.###.##....##.##.##.#######.#.#.####....###.####.##.##.#.#.#..#.......##...##.#..###..##.###.###....#...###.##..#########.....##.##.###########...##.##########.#.########.##.#.#.##.#.#..##########......#.#.#.##...#.##.#.#######.#.#.#.....#.##.##..#..#.##...#.#.#.#.##.####.####.#.##.#...##.#.....##.####.##.##.##....#.####.#.##.#######.#....#.####......#......####......#####.####....##.#.#..##.##.#.#...####..#.###..#....##..#......####.#####...##.####.#..##.####.##.########....#########.##..#..##.#....##.##.##.##.#####.####.##..##.##.#######.#......#.###..#.......#.##.#.###.#.##..##....#.###.#.#.###.....#.####..##.#.##.......#.#......##..#.#.#.#.#.#.#
#..###...#.#..#.####.##...#.#.#.#....#.#.###...#########.##.##....###########.###.#.#..#..##.......####..##.#..#.##..#.##.#..##.##...###.#.#.####...##.####.....######.#.#.#...#..####.#.#####...#.##.#...##.####.############.##.##..#.#....#####...####...#####.##.#####.#........###..##.####.....#..###.##.#.#.#.......########.#...##.##...#.####.#..........#...#.....##.#.#.#.#.#.#####.######.##.#..###.#.#.#.#.##..##...##.....#.##.##..###.#.....##..##..#..#.##........#.#...#.##.....##.#.#.#..####.######...#..####..##.#.#..###.##..#.#.###......##.##..##.#...##.#.######.#.#######...###.#.####.##...##.#..#........#..##.##.####.##########...##..###.##..##.##.#..#.#.#..##..##.##..##.#.#.##....###.##..###...###.#.#.##.#..##.#####.#..####.#.#.#.###...##.##...##.##..#.####.#######.#.#.###.##.###.#####.#
####.###.#...##.........#.#.######.#.#.....#.####.#..........####...###.#..#####....##.##.####.###......###.##.#.###...#..#.##...#####.#####.#.#..#....#.#..#####.##.....#.###.#.##....#..##...#........###..###..#.##.##...#..##..##.#.####..#.###.###.###.####...#.#.#...##.##.#.##.#.##....######.#.##...#..#.#.#######.##.#.#.#.###.##..#.#.#..##..########.#.###.#####.#............####..#.#.##.##.#.##...........###....######.###.#.....##.#######.#..####...#####.######...##.##.#########.#.#.####.......#####.##.##...##..#.#.##....##.#.#.#.######.##.#..##....###......##........##.#.###.#......#..###.##.##.######.#...##...#..##...........###..##.##...##.#..#..#.##.....##..##.....##..#.#.#..##.##...##...#.###.#.#...##.#.###..#.#..#.####..#.#.....###.#####.#..#.##.##.#..###...#########.#..#..##.##.#..#
#........###.####.#.###.###..##....#.#.#.#....##....#.#.##.#....#.###...#.##.#.##.#........#.###.#####.##.#.#..#..####.##...####.#.##....##....#######.#.#.####...##.###..........##.#...#####.#.#.#.#.##.##.#.#.##....####.#.###.##....##...##...###..........###.....###########.##....####...........###.##.#.#.##.#....##........#..##.####.#.####.#.....#######..#..##.############.#..##.#.#.##.##......#.######.##.##.####...#...#.###.#..#.####.##.#.##..###..##.#####..###....##.#..###........########.#...###.#######..##.#....####.##...#...##......#.#.######.#.##.#########.######.#..##.###.####.##.........#.###..#.#..###.##.###.########.#.#.###..##.##..##.##.#.##.######.####.######.....####...###....######..#####..#.#...#.##.##.#..#.##.#...#####....##...####.........###..#.#..#...##.##.#.##..##.#.##
######.#..##...##########...##..#.#########.#.#..##.#.####.##.#....####........###########.#..#..#.#...##...##.##..##...###..##..#..###.##..##...........#.#..###.####.######.##.#######..#..#########..#.##...#.#..####........#.##.##....#....##############.###.###..#.#.#..##..##.####.##########.###.#......#.#..####.####.####.##.#...##.....#.#######.#.#.#.##.##.#..##.#.....#.#.#.##......##.######.####.......#.#.....###.#.###.....##.#.#.#........##...#.###..#..##.######.#....##.#.####.###........###...#.#.#.#.#.##..###.##.##..###.#.#########.#.#.#.#.##.#.##....#.##......##....##..#.#...##.##########...#.#.#####..##.##...###.#.#....#.#...##.#...##.##....#.##.###.#..##....#########..##..###.####...##.##..#.###.#...#.#.##.##...##.#..#.###.##..#.#####..##..#.##.####...####.##.###..##....##.......#
#.##...##....#.....#......#..######.#.#.....#...########....####.#..#.########.#.#.##.##...##.##.#.###..##.##..##.####.##.#.###.##.###...#######.#.#.###.#...###..#.#..###.#..#####.##.##.#.####..#.###....###.....############.#.##.##.#.###.###.#........##..#.#.####...#.##.###.##....#..####.......##.######.#.##...#..#....#.......##.#####.#....#.#..................##....#.#.....#..##.#####......##.#.########.#.#.#####.......####.##....#.######.######.....##.##.......#.#.####.#..####.#...#####.#####..#...........#..###.....##.##.#...#.#....#..#.#.#.#.#.......####.#..#.##.#####..##.#.#.#..#.#.....##...#...###.#.##.....##.###....####...##.##..#.###..#####.#.#....#.#.##..#.##.##....#.#######...#####.#..###.#..##.##.####.##..##.##..##.#........####.##..##..#####...###.##....##.##..##..#.#####.#.###
#.#..#..##.#.#####.######.#.##.#.#......######.##..#.....#.###.####.......#....#.#.#...###.....#.#.#.##.##..##.##.#.#..#.....#..##.#.###.###.###.#####.....###.##.#.#.##.#.##.#.##..##....#.#..##...#...####.#.#.####..##.##.......########.#.##..########.###.#.###....#.......##....####.##..#####.#......###.....###.##.###.##.###.#....#..#####.###...##.#.###.#######.#############.##.##.#.#.######..#.#.#............#.#.####.#############.#.#.#.##.#.##.#.#.#.......#.###........#...###.....###.#####.#.##.##.#.######.##.##..#.#.#..##.#.###.####.##.....#.....########.#...#######.##..##..#.####...#####.##.#####.##.....#####.##.#.####.#.####.#...##....#..##.##......####.#..####..#..####...##..#...#.......##.#.#.#.##...#.#.##.###.##..##.#....####.#.##...###..##.....###..##..####.#...##..##.####..###.#.#
#.##.####..#.##........####.#....#########......##.#########........#####.##.#...#.###.#.#####.#.....##.###..#.##.#.##.#####.##..#.#.#.......#.########.##.##..##.#.#.#.....#.#..##.#####...##..###.###...##.#.###..#.##...####.##....###......##.#.##.##..#......#..#.####.##.######...##..##.##.#..##.##.##.#####.#.......##############.#.##.#.#...##############..#.....#.####..#....#.......#.###.#..####.#########.####...##......#..###.##................#.#.#.#.#.#.#.#...#.##.#...###.##.##...#.#.##....#########..##......##.######.......##..##...##.##.#.######...#.#...###.#...#..##.###.#..#.##.##...#.######....####.##........................#######.#.##...####.###....##..##..##.##..###..##...#.#######.##.#......###.#.#.##.#....#.###.###.############.#...##..############..##....####.##..##.##.##....#
#.#################.##.#.#######..#..###.#####.###.#.........#.##.###......#####...###.#.#####.##.##.....###........##.#..##.###...#.###.###....##.#.#####..##.##.#...#####...#.##..#.#####.#..##.....#.####.....##.#..#.###.#...######.###.##..#.#.#..###.###.##...####.####..##.....####.##..#..##..####.##.##....###.###...#.##.....#.#.#.##.....####.##.#.#...###...###...#..##.####.####.####...#.##.#.#...#.#.#....#.##.######.####.##......#####.###.#.#.######.#.#.#.#.#####..#####.##..####..#...#..####.#.########.#..####.##....#.###.###..#.#####.#..#..#.##.##..#.#...#.###.#.###.##..#.....##.#..####.#..##..####.#.##.###############.####.####.##.#..#.#..###..##....###.###.####.#...#.##...#####.#.#..........####.#.#.#.....##.####.#.##..##.......##..##..##.####....##.##..##.######.#..#.##.###.##.##.####
#..###...##.#.##....#.....##.####.##.#.#.#.#.###.#.#####.#####.#..########.##....#.......#........###.##..#########..#.#.##..#...###.#.###.####.##.#.#.##..##..##.###..###..#....##...#..#....##..###.#.#..####.##..##.....#.##.##..##....#####.#.#.##.#.#...#..########.#.###..#####.##....##.##.######.......####.#.###.###....#####.......######.##.#.#....#.#.#...#######...##.......##...######.#.##.#.###...#.####.#..#.##.##...##...########...#.#...#####.#.#############.#..##........##.#..##.###.####.....##.#......##.....#.####.##..###.##..##.....###....#.#..#####.####.#.#.#.#..##.#.##.##....##....#.####.#.#....##.#.###.....#...####...#....#....##...##...###.####.#.##..#.##.#.###.####....########.######.#.####.....#.#.##.##......##.#..#########..##..#.#....#####..#.##..##.#...#.##.##.##...#.#.....#
#.##.###.#.....##.#.##.##..#.#.#.........#.#..##.#..##...##....#.##..#...#.#..##########.##########.###..##.#.#.#.##.#.#..##.###..##.#.##.......##.#.#.###....##..#.##.#.#####.######.##.###.######.#...#.##.##..##.##.#####.....##.#####..##............#.###.###.#.#.#....###.#......####.#..#...##.#..#.#.###.......##.##..##....###.#.##.#.##........#.##.###.#####.......#######.##..#.#.....##.#.#....##..#...##.....##.##.#..#####.####......#.#####..#.##.#.#.##.....##...##.#########.##.##..###.#..#.##.##.##.#####.#######.#..###.#####.#..#.######.###..##.#.#.##.#.#..##........#.##..####.#####.#####.#..##....####..#.#.#.#####.#.####.#####.##.###.###.#####.##....##....###.#......#.#.#.#..####.#.#.#####........##..#.#.#####...###.##.##.#.####.###.##..##.#...#.##.#.#.##..##..#.###.#.##..#.###.##.#.#####
#..#.....#####....#..#####.#.#.#########.#.#.##....########.#.######...#.....###.........##...####..####.##.#.#.#.##...#.##....##.#..#.###.##.#.##.#...#.####.###.#.##...###....##.#.....##...#.#.....#......##.##...#.....####.##...##.##..####.#.#.#.#....#####......###.##...####.#..##..##.##.##..######...#####.#.....########.#.#####.....#######.##.#..##...##########.#.#.#######.####.##.#..#.##.###..####..#####.##..#.##..##....#.########..#.#..##.##.#.#..####.#####.##.#..........#....####.##.#..###.....##....##.####.#.##.#..#.#....##.##..####.#####.#.#.##.#.#.##..########.###..##...##....##.....######.##.##.#.....##....#.#.#...#..####.#........##.#.##.##..##.#.#.....######.....##.#.#..#....##.########.#######.##.###.##.#.##.##.#.##.....#.##.##....#.#.#.......##..#.##.##..#.##.##.#.#..#.......#
##.####.#######.#.##.###.......##.............####.##.###.########.##.####.#.##..#.##.##.####.#..##................###...##.####..#.##.#.######..#.###.#.............##.##.###.###.#####.####.#.####.#######.##.####.###.####.#..#.#.#..##.##.#############...##..#.##..##..###.##.####....##..##..##..##.##.###.######.####.##.#.#.#.##..#####..##.##..#####..###....#.#.##..#.#.#.##.#...#.#..####...##.#.####.#..##.##..#..##.###.#####.#..##...###...##....##...##..##...##...#############.####.##.#.#....###..#.#..#.#.##..........#.#.##.####.#..###.#.#....##......##.#.#....###.#.##..#.#.##..#..##.######.###.#..#.#.......###.#####.#.#.###...###.#.###.#######.#.######.##.#####.###.#.###.#####...##.##.#....#.........###.##.#...##.##.#.#####....#.#####.##..##.#####...#.#####..##.##.###.#.##......#.##.#######
#....##.##...#########.###.##########.#.##.##.##.#.##...#.##.#.#....#####..#..##.####.##..#.#.##.##.#####.#.######.#.##.##..##.##...##.#..##.###....#..#######.####.##..##..##.#.#.##.##.#.#......####..#.##.##...##..##..##..#.####.##..#.##.#.#.#.##......###..######....##...##.##.##.#####.###..##.#.....##..#..##...##..#.........#.##.....##..###..#####.###.##......##...#.#.##.###.#.##..#.##.##..#.#.#..##.##.###.#.##..#....###..#.#####.#.###....#######....###.#..###.#.#..#.#.##...##...#..#.###.##.#######.##############.##.#.##.#..#.#.##.#...####.###.#####......####.#....##.#.#..#####.##.#.##.#..##.##.#.#####.#.##...##.#...#.#####.#.........##.#.#....#.##....#...###.##..#..##..#.#..###..#..####.#########.#...#..#.###........###..####..####.##.##......##.####.....##...#..##......##.###..........#
####.#..####...##..##...#...##.##..#######.#.......####.#.##...####.##.#..########..#####...#.##....###...#.#............##.#..##.###..#.##...#####.##.###..#####.#.##.####.#..#....#.#..#.###.####..##...#...##.###.##..####.#..##..###.#.#..#...#..##.###.#.####.#.#####.####.......##..#.#...#..##..#.#.#..##.##.##.#..##...#.#.#.#....##.##.##.##...##.#...#.#.#######..###.#...#........##.##.##..##.#.#.##.#...#........##.#.####.##...#####.#.######...########...####.##....##.#.#..###.####...##.##..#...####.#.##.#.#.....#.#.##.#.#..##.#...##.#.####.#..##..##.##.#####.##.#.#####.#...##.#.#.#..#.#..#.##..#....#..######..#..#.###.#.#...#.###.###.#.#..#.###.##..##.###.###......##.###.##...##.##.####.##.##........###.##...#.###.###.##.#.###.#.##..#.#..##.####..###.#..#.######.##..###.########..####.##.##
#....#.##.##.#..##.#..#.###..#..##.#.#.#.####.###.##....#.####...##......##.#.#.###.######.##..######.###.#####.#.#.##.#......##....##.#..###.....#.##.#.##.#.#......#.#.#..##.##.###.##.#.##...##..#####.##.##..#.#.#..##..#.##..##.#.#...##.###.#.######......#..#.#.##.......##.##.##.##...#.#.####.#.####.....#..####.####.##########.####........#....#.#...###.#...##.#.#.###...######.##.##..##..#.....##.###.####.#####.....##..####..##.#.#.#..#...#..##.##.#.####.#.#..##........##........###..###.##.##.#....#....#####..........##....###.##.#.###..##.##.##............#.#.#.##....###..#...##.#.##....##.####.#.##.#.#..###...###...###.#.#...#####...##.##...##.##..#..#.###.####.......###.#...#..##.....#..#.####.#.#.####.#.#######..#.#........##...#.###...#####.....##.##.###.###...#...##.##..###########
####.#.##..###.##..####.....##.##....#.#.######.#.##.##.....####.###.##.##..........#.##....##.##.##...####.....#.#.#..##.###.###.####...##.###.#.............######...#.##.#.....###..#....###.###..#........##.#.#.##.###...###....#...###...##.#.#.##.######.##...#.#..#.#########.#...###.#.#.##.#.####.#####.##.####..#######....###......##.#.#####.######.##....#..........#######.....#.##.####.#.#####...##.##.....#.##.##.###.#..#.##....#.##...#.##..#.##.#.#.#....#########.##..########..#..##.#.#..#..##.#.##.#.......####.#########.....##.#.#.##.#...#....####.#.#.#.#...#.#####.#.##.##.###.#.##.####.......#.##.....##.###.....#.......#####.#####..#..##.##...##.##.#.#...#.#..#######.....###.##..#.#...######........#..#.#.###.##.....#.##.######....#..###.#.##.#####.#....#.#.#.#...####..#.##......##.#
#....#.###..#..##.##.####.#.....####...#.#.#.#..#..#.#####.##.##..####..#..########...#####.....#.####....#########.##.#..#...#.#.#..###.##..####.##.#####.##.##.#####.#.##.#####.#.##.####.....#.##.##.#####.#....#.##..####.#.####.###.#.###.##.#.#.#....##.#.####.....####.##..#...#.#######.#.##.#..##.....##.#..#.#..##..##.####.#.###############.#.#.#.#..####.##########.##.###.#####...##.##.#....##.###..#.#####.##.....#.#...##.#.##.#.##.###.####..##.#....#.##.#...#.#.###..##..##.#..##...###.#.#.##.#####.#####.#.#.##......#.##.#..###..#...#.#..###.##.###..###########.#..####.#.#...#.##..#.#...#.##.####....###.#.##..######.#.#.###.#.###.#...##.#.###..###.##.##.#...###.##....########.#.#..##.###.#..###.########.##.....#.#..##.##########.##..####.##.#...##.###.####.###.#.#####.##.##.#.#..#######.#
#.##.....##.##.........#..#####...####.#.#.#.##...####.###.##.#..##.######.#........#.......###.#.#..###.##......#..##.#.####.#.#...##....##...#..#####....##..#.#.#...#.#..###.#.#.#...####.##.#.#...####....####.#..#.##..#.#.##...#.#....##.##.#...####.##.....######..##...##.###.#.....##.....#.#.##..###.##.##.#.##.##.##...#.......#.#.#.##..........#.##..#.#.#...######......#.#.#####..#.#....#.##..#.##.#..##....###.#######....#.####.##.#.###.###.#..##.###.######.........##..##..#.##..####....#.##.#.###...##############.##.##.#######.##.##.#.##...##...##.##..##.##.#...##....#.###....##.#.##.##.#####.###.##########..#.....###.#.....#.#...###....##..###...#.##.#.###...##.####..####..#.##..#.########...............#####.##.#..##..##.#...##.###........###.......##...##.#..##.#.#.....#.#.####.#.#.#
########..#.##.###.#.#...##...###.#.#....#.#..###.#.#......#..##.##.#..######.#.###.#.#.##.####.....##.#.#######.##########.......#..###.#####.####.#...######.#.#...#.....##.....#.###.#.#####.#.#.####.#.##.#.##.##....##.#......###.#.#####.#..##.##....##.#.#..#.#.##.#..###......#.#####..###.#.#..#####.............##.####.#######.#.#...######.#.##.#.#..##.#####........####...........##...#.######.#....##..###.###....##.#####.#.#.#...#.#.###..#....##...##..##....#.#.##.####..##...###.##.####.#.##.#.#.###..#.#.#.#.##.##.##.##.#.##.....#.##.#..###.##.###..##.##..##.#.#..###.##..#####.##.#........##....##.##.##.##.##.###.#######.###.#.###.#.###.####.#.##.##.##.#.#.##.##..#.#..##..##....#.####..#.#...###.#.##.####.#.#.#.##.##....##..#.#.##.....###.####.##.###.#####..#.#.##....#.#####.#.##.#.#.#.#
##.######....###.#########..#..#..#.####.....###....######.##.......##..#.#...#####.#########.#####.#.....##..##...#.##.#.###.#.######.#..#.#....##.########.......#.####.#######.#.##..#.#.#.#.#...##...#.#..........#####.######.##..#.####....###..####..######.#...##.##.....#.##....##.#####....##.#.#...#.#.#######.#...##...##.........#.....####.#..#.##..#..##...#.##.#####..#.#######..##.####.####.####.##.##.......####...##...#.#.###...#.#.##.##.######.###.###.#######..##.##..###..#..##..##..#.##.#.......##.#.#.#.#........##....#####...##...##.#....#.##.#.....##..#.##.#...###..##....#.#.#.##.#######.#..##.##..#.#...####....##.#...#.#.........##...#.##..#.##.#.#..#..##.#...####.#####.#.#.#..##.##.##...#..###....#.#.#.##..#.####..####..##.########..#.##.#.#####...##...#####.#.##.##.#..#.......#
#.......###.####.##......#####.##.#......###.#.####....##..##.#.#.#.###...##.##...#.##............#...###.#..##..#....#....####....##..#.##.####.#...#.#.....#########.....##.##....###.#.#.#.#.#.#####.#############....#..##......##......####.#.##.##...###.#.#.###..#.###.####.#..#.##..###.####..#.#.##.#######.#..#.###.##.#####.###.#######.##.#####.#..##.#.####.#########.######.....##......#...##..#.##.##..######.##.####..###.#.....###.....#.....#..##..#.#..#####......###.###..###.##.##.##..##..#.#####.#............#.#.##..###.##...#.#####.##..####........#######.#..#####.#.#.######.#.###..####.#....#.##...##.#.#.#..##..##.#####.##...#######..###.#.#..##.##.#...##.##....####.#...##....#.#.###..################.#.#.#.###....#.##.#.#..##...###.##..##.......#.#..#..###..##.#.#.........##.#######
###.#.#..#...#.#..#####.##.#.#.#..########.....#..###.##..#########.#...#########...#..#.#####.##.#######.#.#########.###.##.##.######.#.#...###.###...##.#####..##.###.##....#####.#.#.#.#.#...#...##....##...##...##.###.########....######.#..#..#..###.#.#.#.#.#.#.####......#.#.##..##.#...#####......###.#.#.#.##.......##...#.###.#####......#...##..#.##..#.#.####.##.#........###.#.#####.####.#####.#.#...#.##..##......##..##.#.##.##.#...#.#...###...####...#.##.#.#####.###..#.##.#.#.#.....###.#..##.##..########.##.#.########.#....###.#.##.##..##.#.#..######....##...#.##.........#.#.......#..##..#.####.#..###..#.#.####..##.#....##...######.#..#.##.......###.##.#.###...##.####.#.#.#..####.#.#.#.##.####.##.##.....#...#.#.#.#.####..#...##..##.##....##..#.#######.#####..#..##......##.#.####...#.##.#
#.######...#.....##..#...#.#.#.#.##..##..#####.##......#.###..##.#....#..##.#.###.####.#.#.....#.....#......##..#.#.#.....#..##.##.##..#.###.#....####..#####.##.##..####..####.##........#.###.#.#######..###..##.##......#.#.#.#..##..###.#.##.##...##.....#.#.#...#.#.#..#.##.#.#####......###..######.##............##.##.##.###..#...##.#.#.##.##.####....##......##.......######..####.#.#......#..#.##.#.###....##..##.#####..##.......#####.##.##.##...###.##.###......#..####.##............###...#.##.##..#.##..##.##.#..#..##......##.#..#........##..#.....###.####.#..###....##.######.#.######.##.####.#.#.#....##.##.#.#..##..########.#..#.##.#...##...####.######...#.#..###.###..#.#.#.####..#.#.#.#.#.##.#.#.....#..###.#.#...#.#.#.#.#..##.#####.#.....####..##..##.#.#.#.#...##.#######.########...###.##.#
#..#.#.##.###.##..##.###..........##.#..##..#.....####....#..##....#.###..#.#.#.....####.#.#.#####.#...##.#..##.#.#.#.#.#.##....##..##.#.#.#.##.###..#.####......##.##.###..###..########.#.##....##...###..##.##...###.####.#...######.#.#.#.#..###.#######.#.#.###...#.###########.....##.###.##..##.....###.#.#.#.##..#.#...#.#.##.##.###.######.........##..##.#################.##.#.#..#...###.##.##.#..#.#...##..#.##..##.###..####.#.##.##############.##..##...######...##.......########.####..#.......##.#.###.....#########..#.##..####.##.####.####.####.##......######.#.#.#####.##.#.#...#.......##.#.#.#...##..#..#.#...####.#.##.###...##.##.###..###.#.#..####.##.##.##..#..#.#.##.#.#..#.##.......#.#.##.#.#####...####.###.#.....#.#.#.###.#.#.#...#.#.#.##.##..##..#.#.#.##.##..#..####.#.##.#.###.###.#..#
##.#.#.#########.###.####.#.##.##.##.##..##.####.########.#.##########.##.....##.#.##.#..#.#.#.....##.##..##....#...#####.#####....##..#.#.#.##...##...##.##.###.##........##.##.##..........####.####.#.#.##...#.###....#.#.#.#...#....#.#.#.#.##.#.##..#........####.#.####...#..###.###..#.#..##..#####.#.###.#######.#.###.#.#.#..#..##..##.#.######.#.####.#..##.####.##.........#...##...####..##....##...#######....##.....###......###...##...##.##.#...##.#..###....#.#.####.######.########.########.####.#.#.#####..#.#..#...######.##....#.#.....#.#......##.######..##..#.###.##..##.#.###.####.#.###.#.#.#######.##...##.###..........#.#.#.....#.##.##....#.##..#.#..##.##.##.##.#.##.....##.######.###...##.#..###..#.#....######.##...#.#..#..#.#.#.#######.#...##.##.##.#.#..#.##.##.##...........#.#...#.#.##
##.#.#.#.#.#......#..#.#########........##...##..#...........##.####....####.########.###########.#############.###..#.#....##..######.#...#..###..#.####.######.##.######..#.#...##.##.####..###...##.#.#..###.#.#.####.#.#.#####.####.#.#...#.##.#..##.#.#.###.##.........###...##.######...#.####..........#######.########...#.##.##.##.###..........###......###..##...#.#.#.###.###..######.##.##.#######.#.#.....##.##.#####.###.##..##.######.........###..##.#.####.#.###.##.#.##.#...........##.#.#..##.#.#......##.##.##.##.##.#.##.###.#####.##.##.######.#.......##..##.#..##.###..#.#.##...#.###.#.#......#.##....#.###....####.#####.#####.#.#...#...##.#....##.#...##..#......#.#..#.#####..#.##....####.#....##.#########.#..#.#####.##.#.##.##........#.#....####.#...#.#.#.##..#.##..#####.##.#.##.#.###.#..#
#..........######.##.#.#.#.##.###.#####.####..#######.#####.###.#..####.#.......##.....##.#.#.#.#######.....###.####.#.####..##.##.##..###.#.##.##.#..#.#.#.#....####.#.###.#.###.########...##.#.###......##.....#.#.........#.##.#.##.....###..#.#.##..#######.#####.#.##..###.##..##.....#.....######.#.##...##.#..#.#.##.###.#.#.....#....##.#########...####.....####.########.....##.####.......#.#.#.#.....####.##..##.#.#.#.#.####.##.....##..#######..##.##..#.##...#..##.####.#....#.##.##.#....#.##.##.#.##.###.#...#.##....##...#..#.#..#.####..##.##...#.#.########.##..#.##..#.##......###....##...#.##.###..####.#.##..####..###.#....#..#######.##.#######.##..###..##.#.######.#.##.#.####......##..#.#.###.##..##..##.##.#.##.....#.##....#.##.##.#.#.....#####.#.#.###......##....#.####....###.#..#.##..#.##
##.#.#.###.#.#....#.............####.#...##..##.#.#.####.##.##..#.##.#..#.#.###..#####.#...........##.#####.....#.#.......##.##.##.#..##.#.#..#.##.#.##.#.#...##..##..........##...#...#...#.......#######.####.###...##.######.##.#.#..###.#.##.#....##.##.#..#.#..#######.##...##.####.#.####.###..#.########.##.##.#.#..........#####...####..#####.#######.######..#.#..##.#....###.......#.#####...#.#.####.###...###.##.#.#.#...##.#.##.#.########.#.#..##..###.#..###...##...##..#################...##..#.#..###.#.###.#.####.#####.##.....##.#.###.....###..........##...##.#..##......###.##...#.####.#####.#.#.##.......##.#.##.###..####.#.###.#....#..#..##.#.###.##..###.....#.##....#.#....###.#.####.#.#.#....##.###.##.##.#..#####.#.#..##.......#.####.#.#####..#.#...#.#.######.###..#.####..##.##...##.##..#
#..#####.#...####.###.#######.#..#.....#..#.##......##.#.....##.#.##.##.#######.##.##..#######.#.#..#.#.#######.#...##.##........#.##.##...##...##....#.#.#######..########.######.###.##.########...##.#...##...######...##.....#.#.#.##.#.#.##...#.##..#..##.....##.#.##...##.##..###########.#.##....#.#.##..........#####.####..##...#..#.####.....#.#.#...#..#...##.##.##.######...##.##.####....###.#.##.....###.#...##.#.#.##.##....##.###.#.##.#...##..##..#..#.######.####..##.##..#.#..##.#.#...#..##.#...###..#.##..#.#.####........###.#..#.#.###.###.##.###########.###...##..#.#.##.#.###.####.....##.#...#.#######.###.#.##.##..##.##...#.#.####.##.##.......#..###.##..#####.##.##.#.#.####.###.#......#.####.##..##.#.....#.##.....#.#.##..##.####..#.######..##.#.#.###.###.##.#..###......##..####.####....##
#####.#..###.#....#.####....####.###.####.#.#######.#..##.#.##..#.##..#.##.#..#.#...##.........#.##........#.#....#..###########.#.##..##.##..#.####.##.#.#..#..##.###......##.###.##...#.#........###..###.####..#.##..######.#.....###.......#####.###...##..###.##......#.....##..##.#.#.#.#.#..###.##...###.##.##.#....########.#######....#######.#.#.###.##.###.##..#.#...##.#..#..####.##.####.##.....###.###.#####......#..#.#####.##..##.#.#..###..#.####.##.#..#.#.#..#.##....##.##.##....#.#####.###.#.###.##....##...#.#.####.####.###...##.....#.#.#.##..##.#.#.##..#.#.###########........#.#####.##..##.##.#.###...#.#...##..##.#..####.....#.#...#.#..#####.#.##......#####.....####.#...#..########.#...#.#..##.###...###.#.####.#.#.#.#####...######.####.##.##.#.#.##...##.##.#.##.#.#.######..##...##..#####
#.#.#...##...####.#.##.####.##.......#....#.#.#.....##.####..##...###...##.##...###.#######.#.######.#####.....####.##.........#...##.##..#..####.#...#.#.#.##.##..#.####.#..#.#....###.##########.#.#.##......##.#..##.######.##.##..#######.##.##...##.#####.#################.###.##.#.#.#.#.#.###..####.#.######..#.##...#....#.#..#####.###.#..##.#...............##.#.#.###....##.###......#.#..######...#.#.#.###...####...##..#.##.##.##..#.##...##....##.....#.##.#.##...####.##..##.###.#...##.##.##.....##..###.#####...#.#..####...#...########.#.#....##....#.#..##........####..#########.#.#.#...###.##....#.#.###.#.###.#..##....##..#####...###...#####....#.#####.#.......#####.##.#.###.##.#....#####...##.##.#.######..#....###.#.......#####.###..#.#.....##.#....##.###.##...#....####..##.###.#####.##..#
#...###.####.####.#.##..##...#.####.#####.#...##.##.#..#.#..#####..####.##..###...#.#.####..###.#.#####.####.######..#####.#.#...#.....##.##...#..##.##...#.#...##.#.#..####.#.####..##..#.##.####.#.#..######.##.#.##..#.##.########.#.##.....#..###..#.##.#....###.#....#.#....#.#.#........#.#...##..###.#.##..##.##..###.#.##.....##.##....#.##..#.#######.#.#.##.###.......##########..####.#.##.#.##...#.#.#.#...###..##..#....##.##..#..##...#..#######..##.##.#.##....###.#.#...##.#..#.#####.#...#..#####.###.###.#.#...###.##.##...#####.#.###.#....####..#.####.#.####.#######..##.#.#.####....#.#.###....####.#.#.#...#.##..#.###.##.###.#...###...###..##.##.#....##.#.#.#.#.#####.#.##...##...#.###.###.##.#.....#.#.#.##.##.##.####....#######.....#.#.##...#####....#.###.#.#..##.##.##..#.##.##..#....##..##.##
###.....#............##..##.#########.#...#.######....##.##..#.###.#.#..#..##.###.#.#.#..####...#.#......#...##.....###....###.######.##...#.###.##...###.#.###.#....##..##......#..##..##.#.......#.##.##...........##.#.##..##.#..#...######...##...##.##.###.##...####.#.####.....####.#.#...#.#####........#.#########...########.##..##.#....##.....##.#########...###.########..#....##...........##.###.#.#.#.###...######.#####..#.##.#####.##.#.##....######.#..###.##.......####.##.#..##.....#...##.....#.........##.###..#..####.##.......#..####.#.###.#...##.#...##.......##.#..#.#.#..##.#...#.######..###.#.#.###....##.#.#.###......###.#.###.#.#.##..##.####.#..#.#######...#.#..##.###.###.##...#.....#####.......#..#..#...#.#.##......##.#####.#.####...#####.####.......##..##.#####..#.#..##.####..##...#
#.#####.####.#.###.#.###.##.#.#...##....#....##.#..##.......##..##.#.##.##....#.#.....##...##.#.#.######...#####.##.#.##.#.#######..#..###.#.#.#..##.##.....##..##.#.##.##..####.##.#..##..#######...##..#.######.####.......##..##.##.##..###.######.#..##.#.#.####.##.#......##.##..#######.#....#.##.######...#.##.#....#..#.###......#####.#########......#.#.#.###.#.#...#.#..##.###############.######...........###..##....##..##.#..#.#.##..##....####....##....####.########.##.#..#.#.##..#######.######.##.#.####.##.#.##.#.##.###########.##......#.#.....###....####.#######..##.#.#...#######.....##.#.##.#.#.#.#.###.##........###.##.#.....###.#.#.###.##.#......##.##.#.##.###...###.#.#..##.####.####.##.....#.###.##.##.##.##.###..#######.#.###...#.#..###.#.#..#####.#######.##...#.##.#.##....##.#.##..###
#.##......##########.#.#..#.#.##.####.######.##.##.###.###.####....#.#..#####.....###..###.####....#.#.###.#..#...###.######.....##.##.#.....#.#.##..######..##..###.##..####.......##.##.##.##..###.##.#####...#..##..#########..#.#...##.#.#.#.#..#.##.##.#.#..##.....#####.##..#..##..#.##.####.#..###.##.###.#.##.#######.....####.#...###.##.##...####.#........##.#.#.###.##..#.##....##.####.....#.#######.##.###.########..#.###.##.#.#.###.#..####....#######.##.....##.##....#.##......####....##.#.##......####....#.#.##.#.##.#.#.#........######.#.###.#####.####..#....##.#.##....##.##########.###..#.##.#.#...#.##..##.####.#..####..#####..............########.##..#.#..#.#.#.####....#.##..#.#..#.#...####.##.#....#.#......#.##..######...#...##.##.#.###......##.#....###....##.###.#....##.#####....##...#
#..####.###..###.......##.#.#.#...#.#.#.......#.####.####...#.#.##...##.#...####.#####.##...##..##......#####.##.##...#.#.####.#.........###...#.###..###.##.###..##.##.##....#####..#.##.##.#..###..##..##.###...##..##.....#.##.#...#..#.#.....##.#.##.##...#.##..###.#.....######..##.#..###....#.####..#........#.##......#.#...#####.##....#.####..######.###.#........##...##.#.#####.#.....####.##.#.##.##.#####...###.##..##.##.......#..##.#.##..####..#.#.#...#.#.#.....###.##..####.###.#####.......######.##.###.##.#.##...#..#.#.########.#.#.##.#.##........###..##.####..#.#####.##.#.##.#.....#.##....#.#.##.##..##.##...#######.###.......#.#.#.##.##.###.#.###.##.##.#.##.#......####...###...##.....#.#....#######.#...##.#.#.#..##....###.#.####.##...#.##.######.##.###.####.##..##...#.###.....#.####..###
#.##.##.##..##.#######.##.#...##.##.#########.#.#.#..##.###.#.######.#..###.##...#..#..####..#########.##.#.#.#######.......######.#.#.####..#...#.#.##...##.#.#.##..##..###########...##.##.##.#.#.##..###..####.#..#####.###.#..######.#.###.#....#.##..###....####.#.#####.#.##.#.##..##..#####....#.##.##.####.##.############.##......####.#..#.#.##.###..#...###.#.##.###.##..#.#.##..#.###...#..##.#.#.....#.##..###...###.##..#######...##.....##...###.#.#.##.##########.#.#..##.##....#...#.#######.##.##...#..#.#....#.####.#.##...#..................###.###.##.##......##.##.#.#.#.##.#.#..###.#...#####...#.##.###.#...##.##.#.##......#.##.########..#............##.##.#..#.#.######.##.###.###.#####.#########.#.#.....#..###...#.##..####.....#.#..###.##.##...#.#..##..#...##...##.#..######..#####....##...#
#.#..#..#..##.....#.....#.###....##.##.#.#........##.#..#......##.##.##.#.#.###.###...##.###..##..##...#..#.....#.#.##.#.##...#.########..######.#.#.####.........##..##..#.##.....###....#..##.#...###.#.##...#..#.###.#...##.##.##.#.....#.######.#.#..##.#.######..#.##............##.###..#.##.##...#..####.#..##..##...##.#....##.###.#......##...##...##############...#...##.....##.####.###...###...#####.#.##.##.##.##....##.##..##..#######.####.##.#.#.#.##...##..#....#.#.##...####.##.##..###........###.##.#...##....##....####.#.##############.#......#####.##.######...#.#.#....#.#.#.##.###.#..##...#...#...##.##.##.....#.###########..#..########.##########....#....##.....##.#.#....#.##....######............##.######..#....##.##.#####...##..#......##.##.#.###.##.#####.###...###.##..##.###.######.##
#.##.##.##..#####.####.##...####..#.#......###.##.##.##.#####.###.##..#.#.#..####.##.###...##..##..###.##.#####......########....########.###.........##..#.#####....####....##.##.....##...##..###..##....###.##...#.#.###....#..##.###.#....##......#.###.#.#.##.##...##########.##..#..##.##....###.##.##.#..##.#..#####.##.####..####..######.##.#.####.#.#.#.#..#######.##.#######.#...##...####.#.###.###.........#.#..#####.....##..##.##..##...##..#....#.#....#####.####...#..###..#......##.##.###.##.#...####.######.#.####.#..##..####......###.##.######...#.#.#.....####.##...#.##.....#.#...#####..##.####.#.####..#.#..#####.#..##.########.##.#.#....##..##.#.####.##.####.#####..#.#.#.##..###.##..#.###.##.#.#####..#.###..###.###.....###.#.#####...######...#.#..#...#..#.#..##..#...#.#..###...#.#.#.#..##
#.#..##.#..##......##.....###..##.#.#####.######........##........###.......##.#.....#.#.#####..##.#.#....##..#####.###....#####.#.#.#.##.#.########.########.#.####..#.####.##.###.#.#####.###.#.#.####.####...###...#.######...##..#.####.#########.#.##......##.####.#.#..#...#####.#.###..###.##......##.##....#.##.##..##...##.###.##.##.###.####.#.#..#.#.#.##.#.#.###.....##.#.#.###..#.#....#....#....#.##.##.#...##.#.#.#.#######.#..##.####.####...##.....####.##..##.###.#.##.##.##.###..#.#..##..######.##..........####.####..##.##.######.....####...#..###.#.#.#####.#..####.#####.#.##...#..##.##.#######.#..#.##.#.##.###.#.#.###.#.#.#....##...###.####.##....###.##..#....##.##.#.#.####.##....##.#...######.#.....##.....###....##.####.#...##.##.###..#.#.###.#.##.###.##.##.##.####.#...###..#.#.#...##..#
#.##.##.##..######.######.#.##.#....#.#.#.#....########....####.#...######.###.#.###.#.#..##.#.##....##.#..#.##.#.....#.##..#.........................#.##.#..#.##.##.#..###..#.#.######.##.#.#.#.#..##...##..#####.#...#.##.#.#####....##...##.#.......####.####.......#.##.###.##....#.##..##.#..#####.##...####.#.##.#..##..###..............#..##....##.#.#..............###.##.#.#...#.#######.###.##.#########..##.###.........##.#..##.#..##....#.#.###..###...##..##.#..#.#.#.##.##..######.#.##.##.##.#.#...#####.#.##..#.#.##.#.##..#....#..#####.#..###.##...#...#.##..#.##..##..###.###..##.###.##.##..##.#.....##..#.#.#....#.#...##......##.#..###..####..#....##.....###...####..........##..#####.##.#.####.#...#####.##.#.###.##.#.##.##.#.###..#.##.#.##.#...##....##..##..#.#..#..#.####.###...####.#.#####.#
#..........###.....#....#.#.##.###.##.#.#####.##.#.#########..#####.##.....##..####......##.....####.#####.#.#....###.#####.########.#.#.##.#.#######.#.#..##......##...##.#.####...........#.#.....#####..##..##.####.##.#..#.##..####.###.##..######.##.#...#.#######....#.#.#.##.##...##.##..####...#.####..#.#........####.#.#######.#.####.##..####.#..#.####.#.#.###.#.#...##...###.#...##.....##.##..##.#.######..#.#######.####.##.#..#.######.#.############..##....##.#.#.#.##....##...#.....#.##.#..#.###.#.########.##.#.##....##.####.#.##.#.#.#.####.#..#.#.###..##.#..##..##.#.#.##..#####.#.##..##.##.####.####.#.#.#.####.#.###..####.#####.####...###...#.#######..####...##.##########..##.#.#.#..#.##...#####.###########...###..#.##...#...##.##........###..#.####.#..##.##...##..##....##.###...#.##..#.#
#.##.#####.#.#####...##.....#..###.#..#..#.##.##.#....#......####....#####.###..#.##.###..###.###....#.#.#...######....#.##.#.#......#.#.######.........#.###.####.####........############.#.#####.#...##.#..##...#...#..##......##.....##.###.##.#.#.##.##.##.#.##.#####.#.#...#######.##..##.##.###.#....##.....#####.##......###...#####....###.#.##.##.#.#..###############....#.....#.######.#....##.##..#.#..###.##.##..###..##..##.##.#...##.#...##..#.#..#...#####.##....#.#.####.#####.#.#.#.#..####...#.#...#..#.#........##.#.##..####.#.#........##.#.#.####.....###.#.##..##..#.#.#..##.##.....##.##.#..#.#....##...#....###...#.#####.#.#.#.#.#.####..########....###..##..#..#.#..##.##.##.#......##.#..###.#.##....##.##.##..#.....##..##.##.####.##.###.####.#.#######.#.###..#.###..##..#.##..#.###....##.#.#
#.#..#####.#.#.#...#####.##.##.#.#.##.#.##....#..####.######.##.####..##....###.#.#######..#...#####.#.#.###.##...##.#..........####.#####...#..#.#####.#...###.......########..##.#...........##...###....##.####.##.##.######.#####.##..#.#.#.#.......#.#...#.#..#.#.....#.###.#..##...##.##..##.##....#########.#......#####.##.###..#.#####.....#.#..##...##.##.#.#...#.#....##.#.#.#.....##.######.##.###.#.#.##.#.##.###.#...###.##..##.#.###..###.###...##.###..#.#...##.#......##...##.#.###.#...####..#.#.###.##.....#####.#####..##.#....#.######.####......##..#####.#...#..##..##.#.##.##.####.###..##.##.....#.#####...####.##.##..##.#..............##.#.....##.##...#.##..#####...##..##..#.######.##...##.....#####.##.#.....###.##..##.#..##.##.#.#...##........#...##..#.#.##.#.#.##.##.######.#.#.###.###...#
#.##.#...........#.##....#...............####.##.#..#...##......##...######.#.#.#..##..###...#..#.#..#.#..##..##.######.#####.#.##...##....#.######.......###...#.###.##.#.#.#.###.###########..###..##.##.....##..##.#..#.##....##.#####...#.#.####.##.#.##.##.##.#.#####...##....##..#.#...##.....####.###....#########..##...##...##....##...#.#.....#####.#..#..#.##.##...####..#######.#.....#.#.......##...#..#.#.....#....###.#.##.##......##.#.#.#.###....#...##.###..#####.######.##.....######..#.##.#........########....#.##..###.####.#.##.#...##.######..#.#####..##.##.##..##..#.........##.#...##...####.####.####.##.##.....#.##..########.##.####..#####.#######.#.#..##.#.#.###..####.#.##......##.######.##.#......#.######..#..##..##.##..#.#.#.#######.###...#####........#.#.##.##...#.#....#.##..#.###.#
#########.#.#.#.##.#..##.###.#####.#.##.##.##.##.##.###....#.##.####.#...#....#.#.####.#.#.###.##.##.#.##.#..##..####.####..#######.####.###.###.########.#########....#........#...###.#.#.#..#####.#########.##.##..#.##..####..#..##...#.......####..#.##.##..#.#.#.#.###.#####..####.###..####.##.#....####.#.#.##.#..#####..###.###.##############..##.#.##.##.#..#..#####.######.##...#.###.#.####.##.####.##.....###.####..##.#.##..##.##.##..#...#..#####.###.##..##.##.....#..##...#####..#####.##.#######.###....#.#.####...###......##.....#.###.##.###....##..#..#.###....###..##.######.#.###.#.######.###....#..#.#..##..#####.#..##..##..#####....#..##.#.#.#.#..#....##.##.#.....##.#.##....#####.##....###...#.######.###....#.###.##.##..##.##.#.#.#.#.#.#######....##.#.####.#.#.#...#.###.##.#....##.#.#.#.#
###.##..#######..####.#..#.....#####.#..................#.####..#.#..###.####.#.#.##.#.#.####.............##.###..##..##...##########.#####.......##..........##..##.#.###.####.#.###...#.#.##..#.#....##.##...##..##....##....##...##..#.#.####.##.###...##..##.#.#.#.......#..##.##.#...##.##.#..#..##.###.##.#...##.##.######.#...#.#..#######....###.##......#..##.#.##.##...###.#....######..#..###.##.#.....##.##.#....#...##..#.##.#####...##.###.#.##.#.#..#...##.....#####.#.##..###.....##.#....#..##.....######..........###.######..##.##............###.###.##.##.##..####.#.##..##.#.###.##.....##.#..#.#.####.##.##.##.##.#.....####.###....#####.##....#.#.#.##.####.#.......#####....##.####.##.....####.###.#.#.#.....#####...##.....##.###..#.#.#.............###########......#...###.##..####.#.###.#.#...#
#......###..####....####.####.##.....####.##.###.###.#.####.###.#.#.##.#.#....#.#..#.#...##.####.########..#.#.#.####.####.#..#.##.#..#.#.#.#####..######.##.###.##..#.....#......#.###.....###...####.##..##.##..#####.####.###..############....#.#...###..##....#.#######...##...#.###.##..#.##.##.#...##....###.....#..##.##.###.#.##..##...###.##.#..######.##.##.#..#.#..###.#.#.#.#####.##.#.##.#..#.#.##.###.##.####.#.#####...##.#.#####..........##.#.##.#.########..#.#.....##..######.##.####.#.##..##.##..##..###.####...#.####.#.########.###.####.###.##...#.#...##...##.#.##.###.#.##...##.##..#.##.#....###.#..##.##..#.####.##.##.....####.#....####...............#.#########...#.###.###...####.##.##.#.........#.#.#.##########.#.#....##.......#.#.###########..#.#.####.#.##.#####..##..##..###.#...###.#
#.##.#.....##....#.###.#.##...########.....#######...###.##.#.#.#.#.##...####.#.##.#.#.###.......#....#.##.#.#.#...##..##..##.#....#.##...####.###.#.#.##..#.#....#####.#.##.####.#.#.#####...###....#.##.##..###..##.#.##....###.#.##.#..##.####.#...###.##..####.#.##......###..#.....#.###.........###..####.#.#.#.#...###.##.##..#..##.###.##........##.#....#..#..##.#.##..##.#.#####..#.....#.##.#.######....#..###..#.#...##..####.#.#...#########.###...#..#..#..##.##.#.####.####..##.#..##.#....#..########.######.###....#.#.#.......##...#...#####.#.#...#..###.#.#####.##....##.#......#.######..##.#..###.##.#.##.......##.##.#.##..#.###..#.#.####.#.##.##.###.#.####.#.#.##.#..##.##..#..#.###.##....#.#..##.#.##.#.###.#.....##.#.###.##.###..#.##.#######.#.#.#..#.##.#....###.##...#.#.###.####.##..#.###.#.#
####.###.#....##.#.#...#.##.###...#.#..#.###....##.####.........#...####.##...#.##.#.#.#.##.#########....#.#.#.###.###.###....####.#.####..#.#.#........#.#######..##.#####..#..#.#.#.....###...##.#....#.##.##.##.#..#..####.#.#......#.##.......###..##..##..##..#.#..##.#.#.########.#.#.#.#######..##.##......#######.#.#.##.###.##.#...#..########.##..####.##...###.#..#.##..#..#.###.#####..........#.#..#.##.#####.....###..##.#..#.#.#####...#.#.#.###.##.#.##.##..##.#.#.#..#.###..#.#.###.####.##..##.##.....##....###.#.#...###.###..###...###.......#.#...##.....#.##..##.#####.######.#.##.##..###.##..##..#.#..######.##..##...##.#####..##.#.#....#.########..#.#.........#...######.##.##.##...#.#.##.#.##..##########.##.##.............#...####...####.#...#.#.##..#.##.####..##.###.#.#.#..#.#..##.....#.#.#
#..#######.##.##.#####.##########.#.######.####.#####.###.#####...#..##...###.#.##.#.#...#####.##.##..##.........#.#.#...####.........####.#.#.###.#.##.#.##......##..##.######.#.#.###.###.###.#######...##..#.##...##.##..#.#.#.######..##.####.....###.###.####.#.#######.#..##..#.#.#.#.####.##.##.##..######.##.#......#.##.....##.###.##.#.#.##.#.##.##.....###.#.#.##...###...##..#........#.####.###.##.#..####.######...##....##...#..##.###...#.#.##..##...##.#..###.#.#.#.##.#.##.....#.#.........###.####.#.#####..########..####...###..#...#######.###.########...###.....##.....#.#..#....#..###...##..##.....##.#.....##.###.##...##.##.##.#.####.....##.#.##.#.##.####.###.###..#.#.##..#.#..#####.#.....##...#.#......######.#######.##.###....#####.#..##.##.#....##.##.##.##.#..##........##...######.##.#.#
##.###.....##..####....#..#.......#.###.........#.#...#.###.....#.##..##.##......#.#.#.###.#.#.#.....######.#.##.......###.####.####.##........#######.....######..##.#...###........#...#..#....###.#..#..##....##.##...##...#.#..#.##..##..#....###.##..##..##.#.#..##.......####.#.#.#.#..##.....##..##..#.#....#.#.####.#..#####.#.....................#####.##.....#.###.##.#.#####.#.####.#######....#.#####..##..#.###..#######.##.###.##..##..#......##.####..#.#.###.........#....#####.#.####.#.####...#.##.#.......##.#.#..##...####.##..#######.......#..######.###..#..#######.##.#.##.####.##...###....####.#.##..#####..#.#...####.##.....#.#...#####.##..#..#.#######.....#.##..##.#.##.##.##.#.##..#.##########.######...#..####...#..##.#.#.####.#.#.##....##...####..#..##.#..#.##..##########.#####.#....#.#
#..#.#####.##.###.####.##.#.#.###.....###.#.###.#.###.#.##..#########.#..#######.#.#.#.##........###.#......######.###...#.#.####.##.#########...##.#..#.#..##.#..##....###.####.###.###.##.#.##.....##.##.##.####...##.#####.#.#.##.###.###.##.###....#.####.##...#.#####.###..##....#...#.####.##..##.###...##.###.###.##.#.##.##....####.##.#.##.##.#####.#...######...#.#......##..#.####.####......##...#.#...####...#.##...#.#.#.#...##.#..##..###.#.#.....#.#.##.....#######.#.#.##.##.......#####....##.##.#..#######.##...##....###.....#####......###.#.##.#.##.#...##.#.####.######....#.#.......###.#.##..#.###..##.##..#.##.#.###..#.##.###.#.##.##......##.##.#####.#.###.###..##.##.#.#...#.#..#..##......##.##.......####.##..#...#...##......#.##.#.#.#..#.###.###..##.##.#..##.#.##.###.....#.#...##..####...#
##.........####...##.#.##.#####.#####.#.#.####....##..#..##.#.........##.#.###...#.#.#.###.#.#.#########.####..######..#.......#..#...##.###.###.#..#######....#.######.##..##.###.....#..#.########.##.#..##..#.##.##..#.##..#....#..##...#.##.##..##.#..#.#.####...#.#.####..###.##.##.##..#.#####....#.##.##..##...#..##.#..#..###.##..#.#########...##.#.###.#......#...######.###....#.#.#..######..###...##.##.##.#....##.##.....##.##....#######..#######.#.#.##.#####.##.####....##########.#.##..####..#..######......###.#..##.##..#.#...#.############..#.#..#.##.##..#.......#.#.####.#.#######.#...###..##.....##...##....#.#.####....###.#.#.##..######.##.##..##.#.........#.##.......#.###.##.#.##..######...#####.#...##.###.#.#.#.#####.###.#.##.#.#...####.#.#...##..#....###.#......##.####...#####..#####.#
#..######.##....#......##.####..##......###..####.###.##.#####.#.#.##..#.#.#.###.#.#.#..######.#....#.########.#.##.##########.##.###.##.........##..##...#.##....##.....##.#...######.##....##.#.#..#####..##...##..##.#.###.##.###.####.############.##.#...#.###.##.#.##.##.#.####.#...##.#.###.#.##....#.##.#####.##..#.##.#.##.#####.#.#.#.#..#..#..#.#.##..##########..#.##...#####.#.#.##.#....########.##.##..######.##..#####.##..##.###.#.#.#.###.#.#..#...##.#.##..##...#####..#.#....##...###.#..##.##.#....######.......##..###.#####....###..##..###.....##.#..##.##.#######.#.#....#..###.##.#.######..#####..##.######.#.....##.##..#..#.#.##.##.#.......##.##....#.###.###..##.#.#.##.##..##.#..##......#.#..###..###.#..#...#########.###.#..........#...##.#.#.###..##.####.#.###.####...#.###....##.##.#.#.#
########..############.##...#..##..#.##..###......#.#..#...##..#######...#.#...#.....#.##..########.#...##..#....#..##.........##..##.########.#....#####.#######..#####.##.###.#.##....##.#..#.#.##.#.#.##.##.###..##..#.#.#.#......##....##..#.###...##.###.#.#...##......##.#.##...##.##..#.#.#.#######......#####..##...##.#.#...#.##.###.#.##.#.###.#.#.#..######.#####...####..###.........####..##.........##.###.##...##..#.#...##.#..#.#.#.#.###...#.##...#......###.#..###.####.#.####..###.#.#.#.##.....##.#....#...#.#######..##########.##.##.###.....#.####.#.##..##.#.#.###...###.##.##.#.##.#.#.#.#..##.#...###..##......##########.##.....##.##.#######..#..#########...#..##..###.##.#..###.#.##..#.##.####...#.##...##.###..#.#.##.#.##....######.#.#####....#.#.##.#...##..#.#.#.##.##.##.#...#####.##.#.#.#
#.#......##.#.##.#.#.#..###.##..#######.##.######...##.#.#..######..####.#.###.###.###.##.##.##.....###..##...##...###########.###....#.#.#######.#...#.#.###..##.##.....##.#.#.#.#..##..#.##..........#.##.##...##.###.#.#.#.##.#.#.##.##..##...#.###.##.##....###.#######.##.#..##.##...##.........##....#.##..##...#####......##.##..#..##......###.#.#.#...##.......#.####.#.##.##.##.######.#.###.#..######.##..##...##.####.#.##.##....##.#.#....####...##########.##.#.##.#...#.#..#...###.#.#...#.#.##.#.#######.#...###.####..##.#.##.#.#.#.##.....#####.##..##..#.#..###.#.....###.#.#.##.#....#......#.##.##.###...#.##..####....#.##....######....##.##...##.##.##.#.#.#.###...####..####..##..#....##.##.#####.###.######.##...##.....#....#..##....########.#####......#.#.#####...#....#.##.#..##.##.##.........#
#.##.#.#.#.........#.##.#.#.###.#.##....##.#.#.#..###..####..###.##.#....#.#.#.###..#..##.#...#####.#.##..##.##..#...##...###...###.#.#...#..##.#####...#...##.##.######.##...#.#.##.#..##..##.#######.#.#...#.###...##...#.#.#..######.###..###..........####.##....##.#.#.##.#.##...##.#########.#############..###..##...####.##.###.#.########.##......###..###.###...........#..#.#####..##...#.#.####......##.#####..#.##......#.##.#####...#.##.#.####....##.#.#..##...##.#.###.##.#.###.....###.#.#..#.###..##.#.##.######....###.#.#..#......####.##...###..####.#.#.##.#...######....#....####.####.###.#..##.#####....##.#....####..####.#.#..#.##.##..##.##..##..#...........###.#..##.###.###.#.#.###.####.##..##...#.##...#.#....###.####...###.####..##....#.#.#.##.###.#...#.###.#.##...#..#.##......######.#.##
#.################.#......#.#.#.#..####.#......##.#.##.##.#.##....#.####.......#.##...##..###.#.......##.#####..###.#####.#.###.#.###.###.##....##.####.##.##......##.#...###.....#####.########.........#.###...###..#.###.#.##..#.#.###.#.##...#.##.#.#..##...###.##..#........###.##...#.##.#....#.##.##.#.###.#.##..###.#........##.#.##.##.#...######.###.##.###.##.########.##.#..##.##..###.#....########..#..##.##.#.#..###.##.##..##.###.#..###..####.####.....#####..#.#..##.#..#.##..###.##....##....##.##..#######.##..##..#....##.#####.##.#...###..###.#.#..#.#.#..#.###..##..##.####...##.#.....##.##..#.#.####.###..####......##....#.##.####.##.##..##.####.###########.###...###...#..##.###..#....##.###..#.###.#..#.#########..##.###...####.##..####.#......#.#.....###.##..######...##.###.#####.#.##.####
#.#.#.#..##..........##.#.......#.##....######....#.#..#.....##.#....#.#####.#....###..#.##...######.###.#...####....##.#..........#..#.#..###.##..........#######.#..#.#...####.##.#.#...##############...#.#.###.##.#.###...##.##.#.##..#..##.#########.#####..#..###...#.#.##...#..###.#....###.##.#.....#.#.#.#.#..##.#########.##.....#.##.###.#.#.#..#....#.##...###.###.#.....##....##.##.....####.#...##.##.##..#..#.#####..##.###.#..##....###..##..#.#..#.###..#..##.#...##..##.#..######.#####.#..##.#..###.##.##......####...####..#..#..##.###.##..##.#.#.##.......##...##..####..######.#..###.#..#.###.#.#.#.##.#.####.##.##########.#.##.##.#..#....##..#.##..#..#.#..#..#.#.###.###.#.##..##..##.####...##.##.#.#...##.##..###.##.##.#...####.#..##..#.#.#.###.#####.####.#..##.##...#.###..#.#....##.#.#...#.#
#.#...#.#########.##..###.#####...#####........##.#.##.###.#..######...##.#..#.##.....##..###.#.##.#.#.#...#########.##.#.########.##.#.##..#..###.##.##.#.........##.#####..##.....#...###.##.#.#.....###.#.#.#.#..#.#.#.###.#.....#..##...########.#.....#.###.##.#.############...##...####...#.##.#####.........##.#..##..##.......#.#...##.....#.#.##.####.#..#.###.........###..####.#..#..#.#..#.#.###.......###.##...#.#.##.....##.#.#####.##.##..##...#.####.##.#.##....#.###.##...####......###.##..###.##.#.##.#..######..###.##.##.##.##..#.#.#.###.##...#..####.####..####.##.#..##..#.#.#.##.###.##.#.....#.#.......##...#.#.##.##.#..#.#.....##.###.####.#.###.##.#.##...##.#.##...##.#.##.####.##.#....###..##...#####..###......#.##.###....#.##.#..##.#.#...###.#.#.##...##..#..###.#.#.##.....#####.#.##.##.#
#...#....#.#...######.######....#.#.#.#######.##.........####..##.####.##.#########.#..#.##.#.#.#....#...###....##.#.##.####.##.......#.###.##.#.#######.#.###.###.##.##....#######.###.#.#....#.#####...........##.#.#.#..##...#####.####.#####.#.....###..........#.#.#####...####..###.#.#..#...#......########.##....##..#####.##.##.###..#####.#...##..#...#.##.#.###.##########...##.##.#######...#.#.#.#.#.#......###........##.##......##.....###..###....##........###.##.#.#..##.###...#.#.##....##..##..#.#..#.#####.###.##.#.##.##.....##.#.#.#..##..#.#.#.##....#..##..##..##.##..##...........##.##.##.#.##.##.###.#####......#.#..##...#####.##.#.#.#.#..#.#.#..#.#.####..#.#..##.##....##.#.#..#..#.##..###....####.###.#.######..........##...##.##.##.....#.##..#.#..###..##...##...#....##.####...#.#.##.##.#
###.##.#...###.#.#.####......####.#.#.#.##.#######.#.#.#.###..###............##.######...##.#.#.####.##.##.####......##..##...##.#.##.......#.....#.###..###.#.#.......####.##...#..#.#.#.####...#.#.#######.###.##.#...#.##..###..##..##....##..#.##########.####.##...#.#.###..##..##...#.##.###.######.#..#####.###.#####.##.#############.##.#....#####...#......#..####.###......###..##.#.##..#.#.#.#.##########.#..#..########...#.########.####...##.####..##.#####.#####......##....#######.####.####..#.##.##.#..##.#.#...#..#.##.#####.##........####.###....####...###.####..#.#..############.###..#..###.##.#####...##.####.#...##..###.#.##...#.#.#.#.#.##.#.##.....#.###.#...###.##.#####.#.##.##.#.#####.#.####..#.#...#.##.#.####.#.#.#..######.##.##.########.##.#.##.#.#####.####.#.#####.#####.##.#..#.##.#
#####..###.#.#.....#.#..########.........#.#.##.########.#.##.##..#.##.##.#.##..#.#..#.###..#...##.......#..#.######..##....###############.#####...#.##.##..#.#######..##...###.##.#.#.#....###......#......#.####.###.#.#..#####..##..##.#####.###.##........##...###.#.#.##..####.####.#..####....##.#.#.##......#...##.#.##.....##..##.......####..##.#.#####.####.##.#..#.######.#.##.##.#.###.###.....##.##......##...####.######.#.##...##...#.###.....#.#.##..##.......#####.######.####...........#.##.#.#..##.##.#....###.##......#.##...####.#.#..#...#####.##.#..###...#####...##..##.#.##..#....##.#.###.....#.#...####.#..###.#####..#....####.....#.#....#.#.######....##...###......#.##..#.#...#.#.#.#.#.#...###.#.###.............######.##.##..#..##......#.#.##.#.##.#..##....##..#...##..#..##.##.##.#.##.#
#.#...####.#.#####.#.####.####.#.#######.#........#.#.#..........#####..###..##.#.##.....##.###..######.##.##..##..##.#####..##.#...............###.#..#####.#####.#...####.###.....#.#...#####..####.######.#.##...##..#...###.###.##.##...##....#...#############.....#.#..##..##...##..#.##....##......#..######...###..#.######..##.####.#.#..#...###.###.....###.....##.#.##..##.#.#..##....#...##.##.###..######..##.##..............##.##..#.....#####.#....##.#######.##...#...#.##..#.###########....#.....##..##.####..#...###.##......###....####...#...##.......######..######.##.##.....##.#.####..#...####.##.##.##.#..##..##.#.#.##.###.##..###.#.....####.#.#..#####.####.##.#####.##..##.#.###...#...#.#.#.###......####.#####.#.###...##.....##.#.###.######.#..#.#.##.##..##.#..##...####.##.##..##.#..#.#..#
#.######.....#.###.#...##....#.####.##.#...##.#.#.......####.#####.#...###..##.....###.###..#.#.##.##.#.#...##.##.##...##.#.##..###############.#.....####....##.#.###.#.#..##..#.#...###.##.#..##.............####..##.###.#.#.....##..#.#######.###.#.###...##.####.#...#.##..##..#####...#############.##.#.######...##....##.#..##..#.#######.###.#.#.#######...#####..#.#.#..##..#.#.######.###.####..#.##.#......################.####...##.#######.#.#.###.#####.#...#.##.#...###.##.##.##..####....##.#.###.#..##.....##.##.###########.#######.##...#####.###.##.#......##..##.#...#.#####.##..#.#.###...#.#.....#.#...#.##..#.##..#.#..#.##...##..##.##.##..##......##.....##.#......##...##.#..#.#.###.#.###.......#####.##..####.#########.##..#.####.#.#.#...#..#.#.##.#..#.##.######..#.####.#.##..##.#..##...#.##
#.#.##.#####.#.#.....#######....#.#.##.#####..#####.#.#####..#####.##.##.##.####.#.......##......#.#..#.##.##...#.####.#.....#.##.#.#.#.##....#.#####..#.####....#.#.#.#.##.#########.#.#.##.###########.###.#..#.#.##...##...#.###..##...###..#...#..#.#.##.###..#######.#..##.###..##.###..##..#.######.##.#........#######.##.##.###....##.#...........#.##.##.###..###...#.##..##.#.#.##.##..#.#.#.###....#.########..#########.###....###....##.##.#.#.........##..###.#.######.##...#.##..##.#..##.#.##.####....####.##........#.##.###.#.##.#.##########.##..########.#######.##.###....#.#...##.#.#..##.#######.#...###...###...###.#.##....##.##..#####...##..#####.#######......######..###....##.#..##.....###.###..####.###.##....###...#.....####.#........###.##.#.#..#.##.##..#.#.##......#.#..##......##..#...##
#..............#####.#.#.#.####......#.##.#..##.....#.#...####........#.....#.#####.####.#######.#.##.#.##..###....##..#####.#.##.....#.##.##.#.#.####.#.#.##.##.#.#...............##.#.#..#.#.#.##......#...##.#.#..##.##..#.#..######.#...##.###.##.#.#.##.##..##.##.#....##...##.##...###.##.##.#.......#.##.##.##.#.##.......##..#####......#.#.#.#.#....#.##...##...###....##.#..#....#..##...#.#.#.####.#..#.######..##...........####...##..#..#.#.##.######..##.......#.##.#..###.#..##.#..##.#..###...#.####.##.###..#.####......#.#.#.##......#.###.#.##.##.#.#.....##.#.#..#.#...####.###.#..#.#.##...#.#.######.....###.###..#.....####.....##..#.#..#####..#.##..##.#.#####.##...#..##.###.##..#.####.####...#.####.....##..###.##.###.#####.#.##.###.######.#..#.#.##.#.#.....##....###.####...#######.######.#..#
##############.##.##.#..........####.#.##.#.#######.#.###......#.##########.#..##.####....##.#...........#.##.#.##..##.##....#..#####.#.#####.#...............#......###.#.#.##.##......##...#.#..########.#.#....#.##...##.####.#.##.#####.##...#...........###.#...#.####..##.##...##.##.#..#.##.####.##...#######..#..#######.##.##.#####.########.####.#....###.####..#####.##.##.##.###.#####.....#.##...##.#.#...###..#.#########.#..######.##.##...##.#....##..#.#####.#....#.##.#.#.##..#.##..#.######.#.##....#.###.#####...#.##...#.#.####.####.....#.#..##.#.#.#.#........##...#.###..#.#.##...#..##.##.#.#.##.###.#...#.#.##.####.###...#.#....##.####.#.##...##.##....###....##.##.##...##..##.#.#.##.##.###.#..#######.###.....##.##..###.....##.#.#........#.##.#.#....##.#.######.......####.##.#.....##..###.##
#.##...............#.#######.##.##.....##.####.#.#######..#.##.#.#...#......##.#..##.##.####...##.#.####...##.#####.##.#####.#.##.......#.#.....##.##.####.####.##.#...###############.#####.#.#.##....##########.#.#..###....##.#..#.##.#...###.###########..##.###.#..###.##...##.###.#....##.#...##..####..##.##..##.##..#.#..........#####..###...#....##.#........##.#.#.#.....#.....#..##.####.###.#..#....#.#.###...####.#.##.##...##.##.#.##.#..########.##..####.#...####.#..#.#.#.###....##.####.###.#..###.##.#.###.#.##########......#....#.#####.....###.#.#######.###########...##.....####.#.##..##.#.#.##...####.##.#.##.#.##.#.##########.#..#.#.......#.#...####.#.##.#..#.##..###..#.##..#...##..#.#.#.#.##..##.#.#.###.#.##.###.....#.#..#.#.#.###.####.##.#...#####.###.#..######.##.##..#.###.#..#.###...#
#..#######.#####.#.......###########.#.....##....#.##..##.#.##.#####.#.####.##.##.#......##..#.####.#....#.##.##.##....#.##.....#######.#.#.######.###############.#####...............#.##..#.#..####.#.##.##.##.#.##.#.##.###....##..#.##.##.....#.#.##..##..........##.#..##.##...#..####..#.###.#####.###.....##.##.###.....#####.####..#..##.######.#..####.#####.#..#.#.#####.#####...##....##.###.#######.#...#.###..##..........####.##.#.##...##..###.#..##..##..###.###....##.#.#..####.##...##......#.##.#......##....####....###.###.###.##.##..#####.##..#.##.#....#.##.#..##..########.#.##.#.##.##.......##.###......#..#.#.##....###.#.#...##.#.#######.#####..###.#.#####....#.##...##..##.#.#####.#.#.#.#.##.##..#.#..####..#..###.#.#####.#.......###.......##.#####...##.#.##.......#..##...#.###.##.##..###
#.##.#..####.##..#.####.##..#..#.#.#######..####....##.####.#..###.#.#####...#.#..#####.########.#########.##.#..#####.#..##.#.##.........#.#......#......#.........##.#.####.########.#.#..##...##......##..#.#.........##.##..#####.##.#..######.....##.########.#.#..#.#.##..####.#.###...##.##..#.##....#####.##.##.#.####.##.#...#..##.##..#.#.##.#############.#.##......##.....#####..##.###....#.#.#..##.###.#.##..##########.###....##.#....###..##.#.##.#..####.##....##.####...##..##.....######.##........##########.#..##.#.....##..##...#..##.#......##...##.####.#..#.#.####...##.......##.#.##.######.####.#.######...##.#..#.####.......#......####.....#.#..##...#..##...####..###....##..#.#.##..#..........###.....##.###.#.##.######......###.####..##.#.##...#..#.#..#.#..#######...##..###.##.....##.####
#.#....##.#...######.#...##.##.#.#..#.###..##.####.##..#.#####.#......##.###...##.##.#..#..##.#...##.####..##.##.#.##....#####.#####.####.#####.#.#######...##.####.##.####.###.#....#.#.##.##.#..######..##.#.#########.#...##...#.#..#.##.#....###.#..#.#####....#.##......##.#.#....#.###.....##....###.##.....#........#.####.###.##.##.###.........#.##..#.##.#.#..######..####.##.#.#.###..###.###.#.##.##.#.#.#.###..#.#.#..#...#####.#....##...##.##.#.##.##..#.#.#####.......##.####.####.###.#.#..#..#.####.....##.....##.#..####.####.###.##.##..######.##.###.....#...##....##..########.#.##.#.....##.#...##..#.#....###....##......###.##.######.##..#####.#.##..###.##..###.#..#.##...######...#..##.#.##.#######...#.####.#.........#.#.######..####....#####..###.#.####.##.#.####..####..#.####..###.###.....#
#.####.##...###.#......#.......#.##.#.#.##..#.#....###.....#.#####.##........#.......##.#.##..###.##....##..........###.##.##....######....#.####.#.......######....#..##...##..##.#.#.#.#...####..##.#..##....#.##....#.##.###.###.#.##.#..#.######.##....##...##########.###....##.#...#.#.#########.#.#..#####.##.#.#.#....#.#.##......#.#.#.#######...###.#......#.##.#.##.###........#.#...##...##....#............##.##.#.##...#..##.#.#.##########.#..#.#.....##.......####.#####..#...#.#...##.#.#####.####.#.########.#..#.####....#....#.#..#..##.##.....##...#####.#.#..###.####.##...#...#..#...#####....#.###.#.###.#######.####.####.#..###.##...###....#.....##.#.#.##.##.....##..###....##..#.##.......#.......#####.#.#..#####.#####......##..##.##.##.#..#####...#..##..##....#.##......##....##.#...##..#####
#.#.#...###.#.#.######.#.#.#.#.#.#....#.#..##.#.##.#.#.#####.#..#..#..##.#.#.##.####.#....###.##..#####.###.##.##.#.....#..##.#.##.##.###.##..########.####...########..###.###.##.#.......###..##......######.#..####...##...#..##.#....##...#.##.#..###.########....####.#.####..#####.#...#.##.##.#.#.#.##...#.###########.#.#.#######.#.#.####.##.###.....##.#.#...##...##.#.########.....######.#####.###.##.##.##..........######....#.#.#....##.#..##.#.#.###########.###.....#.##.###.#.###..#.#.#.##..#......#...##.####...#..###.#####...##...##..######..##.##...#...####....#.#.####.######...###..#####.#........##.##.......##..###....##....###...##.#.#####..#.........##.#####.##...########..##.#.##.#.#.#####.##..#.##.#...#..##.##.#.#..##........#...##..####...###.######.#..###.##.##.#####.##.####...#.#
#.#.#.###...#.#..##.##########.#.####.#.##..#.#.#.......##.#.##.#####.#..########......##.#...###.#.#.#.#.#############.#.##..####.##......##.#.##.#.#####..#....#.#.##.##...##....#.#####.#.##.#######..##.#..##.##.###.####.#.###.#.#######...##.####...#.##.#.####.#......#.##.###.##.###....#.##.#.#...####...#.#.##..##....#.#.##.##.#.#.##.#.##...##.##.#..#.##.#####.#....#.###..###.###..##....#.#.##..############.###.###.#.####.#...#.####..#.##....#.##.#.##.##....###.#.#..#........###.#.#.#..#########...#.#..######...############.##.#####....#.#.##...###.###...#####.#.#..#.#.#..##..#...##.#.....#.#####.##..######.#..##.#.##########.###.#..###.###.##.###.####.##..#.##...##.##.#.##...#####..########.##..##...##.###.##.....######.##.############..##..###.##...##......##.####.##...##.....#.####...#
#.#.#.#####.#.#.##....#.##.................##.#########..#.#.#....#.#######.#.#...#.#.###.###...#.#.#.#.#.########.##......##..##..###.##.##..#.#.....##.#######........####.##########......##.#.#.####.#..##...........#.#..#.##..#..#.##...#.#...#.###.#.#..#.##.#.####.#......##...#.#.#.##...##...###.#.####.#....##.#####...#.#..#..#.#.#....##.######....##.#......#.####.#.....##...##..####.###...#####.#..##....####...#....#......###.##.##.#.#####.#.##.#.#..####.##.#.####.#######.##.......#.##.#.#.###.#####.##.#.####..#.##.#............#####.#.#....###.....#.###..##...#.##.#.##..#.###.##..#####.#.#...#..##.#.###..##....#.#.#.##.....#.####..##......#..#######.###.#..#.#.#...#.#..###.##.###..#..##...##.####.##..#.#.###.##.##.##...........#.#....####.###..##.######.###..##...##.#####.#.##..##..#.#
#.#.....##....#.###.#....#####.###########..#.##.#....#.##.#...##.#.............#######....####.#...#.#.#.#.##.##...######.###..##.#.####..##.#.#####.##.###.....##.#.#.................##.#..#............#######.#.##.##.#.##.#..##.##..##.######.#.#.#.....##..#....#.########.##.#...#.###..#..##.##.#.#.#.#..#.##....#.#####...##.##.#.#.##.###..##..#..##..####.#.#........#####.####..##..##....###..#.#..##..####.##...#.####...####.##..##.##.#...##....##.#.#.##.....#....##...##......#.#.#.#...##.#.#.......##..##...#.###.#....#########.####.###.....##...#.###.....##..###.#.#..#..##.#####.###.##.##.###.#...##....#.#######.##.#...######.....###.#######.##.#.##..........####...#.#...##....#..##.##.##..###.....#..##...#.#.####.....####.########.##.###....#...###.##.##....##..##.##...#.#..#.#..##..####
#.####.######.#..######.##.#.#.#.......####.#.#..####......###.#..##.#############.#.#####........#.......#.#...##.##.#....#.#.##..#.##.##....#.###...##.#...###..######.#.#.##.#######.#..##...#.########.##...#..###.......##.#.##.....##..#.#....#.#.#.###..##.####.#..##.#....######.....#####....#..#.#.#...#######.##.......#...........##.#.##.###.##########..#.#####.##....#....##.####.#..####.##...##.#..###....#####.#####.##.....##.##.##...###..#####.#...####.#...#.##..#.#####.###.#######..#.#.#####.####.###.#....##.####.#.#.##....#.#....####.####.####.###.#####...#.#.#.##.##..##.#...#......#..######.#####.#..##.....##.###..#.#.####.##................##########.##.#..#####.######.##.##......##..######.##.##.#.#.#..#.#.###..##..#.....#..##...####.###.##...#..###.##..##..##.###.#.#####..##.#..#
#.##.#.#.#......##.#.........#####.###......#.##..####.###..#####.#####..###...............#####.###.#.##...#.###..#....##......##.#.#..####.##.#...#....##.##...###.#...#.#.#########..##..#########...#...###.##.#########.##.#.##.#######.#.####.......#...##..#.#..#.##..####.#.#.###.######.####...##.#...#..#####..###.###.##.#.#######.##.#.##..##.##...###.##.#.#......####.##.#....#....#.##.##..#.###..##.#.####...##..#...########.##.#..##.###.#.##.#.....###.##.###.#..####.#.#.#...###..#.###.#.#.#.##...##....####.#....##.#.#.#.#####.....#.##.####.#...##.......#.####...#.#.##..##.#..###.#.#########.......##.#.#.#######.#....##.#.#.......#######.###.###.##.###...#.....##..#.#...##.#..##..##.#####..##.#.##.#..####.#.##.#.######.###...#####.##..###.....#...##.##.##.#..##..##.#...#....#..##.###.#.##
#..#.#.#.######.##.#######.#..##.######.###.#..##...#####..##.#....##...##.########.#####.##############..#...#.##.#.##.###.#.###....##.#.#.....#.###.##..########.....#.#.###.#.......#######.#.#..###.##.##.#.####.#.......##.#.#.....#.#....#.#..#.#.#####.###...##.#.###......#.......#..#.#.###..#....##.###...##..##.###.#########.#.##.#.......##..####.#.#.##.#######.##.....######.###.##..#..##.#.#.##..#.#.#.##.#..##.###..##.......#.#.##...##......###.#..##..#.###.##..##..#.#.###..###.#...#.......##.#####.####...###.##........#.#.###.###.#..#.##.###..######.##.#..###.#.#.##.##..##..##....#.##.#.#.#####.##...#.#..##.#.#.#####.#.####.##.......###...#....#.#.###.#####....##...####.##....##...###..##..#.#..##..##....##.#.##..#....#.#####....##.#.#####.#.#.##..#.#..##..##.##...###.#.##.##..#.#....#
##.#.#...#.#.##.#........####..#.##.....#.....##..###.##..##....##..###.#...........#..####....##.#.#.#######......######...#.##..#.##..#.###.#########..##..#..######.#.#####.#######...###.....##.#...........#.#..#####.#......#.#####.##.###.##########....#..###.....##.####.#######.#.##.......###.#..###.###.###.##.##..##.##.#.#....#.###.##.####.#.##.#....####.###..######..#.###..##..##.#.##......###.#.#.#.#####.#....##.########.#...####..##.###.#...##.#..####.#.###..##...#.###.##...###.#######.##.#.#...##.######...########.....##...##.##....#.#...##.......#.#.##.#.#...#...##.#..##..####..#.#.#####...####.#.#.##..#.#...##..#..#####..##.##..#######.#...#.##..##.#..#.##..###.#...#.#####.###.##.###.#.##..##.#####.##.#..##.##.#.....#.#.####.....##.#.###.#..##.##.#..###....###...#.##.###.....#.##
#..#...#.#......##.###.####.##...###.########..##.#....##..##.#####.##..########.#.###....####...........##...#.##.....#..###..##.#####.#.#.....##..##..####.##........###.............###.####.##..###.##.####.#.##.##.#####.###...#.#.#.#....#..#######.####.##...#####..###.....##.#...#..##############.##..........##..#.##.....#.####.#.#.####..##..#.#..###.####......##..####.....#.####....#.######.##.#.#.#.#..##.#.####..#...####.#.###..##..##...#########.##..##..#...##..###.#.#.#..###.#....#.#.#..##...###..#.#.##.#.#.##.##....#.#....#..#####.#...###.######.#.....##.#...###.###....####.###..##.#..##.###..##....#.###.....###..##.##..###.######.#.#..######.#.###.#....##.#..##...###.#.####...##.##.#.#....##.#..#.#.#.##.##.##..#####.###.#...####.###..#..#..#.##..##.#.##.#.########.####.#.#####.####
##.#####...####.####.#..##..####.#.###.#.#####.#..####....######.#.....###.##.######.###.##..######.####.#..#.#####.##...#####.##..#.#....#####.#..##..##....###.#.#.#.##..##########.###........##.#...##.#.......#....#.##..##..#.......####...##.#.#.#.#.....###.#.##..########.#..###...#####...#.#.#.#.###########.###....#####.....#......##.##.###.#.#.##....#.##########....#####.....#####.#..#.##..##.....#.#.##....##.##.##.##........##.###..##.##.##.##....##.#..########.##..#.#.#.##...####.....##.##.###.#.##...##.###.##..##.#.####.####..##.#.#.#.......##...#.#.#..#.##.##.#..#####.##.#.#.##..#.#.##..#...####.#....##.###.##..###..##.#.###.#........##.#.#..#..##.###.#####.#####.##.......#.#....##.#.###.##..##.#...#..#.##.##.###.##...#.#.#.#......##.##.##.#..##....#..#.#.#..#.#.#..##....####..##.#
##.#.##..#.#.....##..##....##.......#............##..###.##.##...####.##......#.#.##......#.##......#......##.##..########..##.##.##.####.#.#.#.##.#..####.#...#.#########.#..........#...######.#....#..####.####...##...##########.######..#.###......#.#####.......##.##..#.##..##.##..####..###..........##.#.#.#.#.#...##.....#####.######.##.##..##.#.#.#####.#.##..#.##.####..##.#####..###....##.###.####.#...#.#####.##..#.#...#######.###.#.#.##..##.##.####.##..##...#.##.#.##.##...#..###.#..#####........##.#..##.##..##...#.#####.#....#..#.##..######.##.#..#########.##.#..##...##.#....#...#..##...#.###.###.#.######.######...##.#.#.##..#.##..##.#####.##.#.##.#.##..#.....##....##...#.###.###.####....#..##.##.###.###.##......##.#.#.#..#.#.#.#####.####..##..#.#.######.##.#.#.#.##.#.#.####.###..##.##.#
#.....#.########.###.#####.#####.##...##########.###......#..##.##.#...######.#.#.#######....####################.##.######.#...#..#..###.......#..##...####.######.#.#.####.#.#.#.#.####.#........##.#.###########.#####.#.##..#.........##.#...######.#..##.#######.#...##.#..##....##.###.##.#.##.######.###.........#####..###..#........#...#.##.##....#.#.##.....##....#....##.....#.#..##.#.##.##..#...#######.....#.#.###.#.##.##.#..............##.#......##...##.####...#.....#.####...##...#.##...#######.##....###.###..##.##.#.######.####....#.##..#.######.##.##.#.....#.##..#.####.####.###.#.#####.#..##.......#.#.##.##.#.##.##..#.#.###.#..##.####.#....#.........##.##.##.##.##.####.....#######.#####.#.##..##.##..##...##.###.#....#.#.####.#..#.#..#..##..##.#...#.#.....#.#.#...##.#.#.#.##..###.......#
###.#.#####.#....#......##.#.#.########..........#.#####.##.##..#....###...#......#..#....##.........##.###.##.#..#.........###.##.#.##.##.#.##...#####..##....##.#.....#.##########.##...######.#.#..####.#.#.......##......##...##.#######.##.##.#.#....###.#.......###.#..##..###.##..#.#.##.#.#####.#.#...#########.#...#######.########...#......#####.#.#.#..###..####.####..#####.#.#.###.####..##.##.##.##..#####.......#...#.....#.###########.##..#.#.#.#####.#.....###.###.#....#.##.#####.#..###..##......####.##......##..##.#.#...#####.####.#..##....##.#......#.#####.#..#.##..#.#.#..#.#.#....##.....#########.#.#.##.##.......##.....#.#.##.#...##..####.######.##.#..####..#...###..##.####...##...##.#.#.###.#..##.##..#.#..#.####.#.#.#...##...##.##.#.##..##..#.###.#####.......#.#....#.#.##.##.###.#.###
#...####.#..####.####.#......#.##.#.##########.#.#.##.......###...##.#.###...####.##.###.####.######.........#.##.####.####......#.#.#..#########..##.##..##.#.##...##.##.#.#.#.#.#########......#.#.##........#.#.######.##########.##...#......#...####...#.#######.##..##..##...#.###.#.#.#.....##.#.#.#.###.##......##.##.#..#...##...#..########.#.#.#.#...#######..#.#.##.#.##.#.....#.#.#.##...##..#..##.###..#.###.####.###.##.#.#########.##...###.#.######.#..###.#####.#.######.#.#...##.....#####.##.####..##..#######.##.###.#.#.###.#..........######......##.#...###...##.#.##.##.#.##.#.....#######.###.##.#..#.#.#.##..#######..####.##....#.###.#..###.#..##.#####...##..##...######..#..#####..##.##......#.#.##.##.###.####.#..##..#.....###..#.##.##.#..##..##.#...#.##..##.#.#######.###...##..#.##..###.#
###..##..##.##......######.#.#.#..#.#.###.#.####.#.#####.##.#.##.##.....####.###...#.#.##########....##.#.##.#.##..###.#####.#.#...#.##...##......##...##..#.#########.#............##.##...###.##.#######.#.#.######.#.#.##..##.#....###.#.####...####.#.###............####.####.#.#.#.#...#####.##.......##.....##.#....##.##.###..###.#######.#...........#####..###.#.#.#.......#####.....#..###..##.#.##...###....#####........###..##........###........#.##....###....#.#...###....#.###..##.##.##.#...#######..##.#.##.....#.##..#.#.##....######.###...###.######.###...###.##.#.#...#.#.##.###.#..#.#.#...##..#.##.....#.##.##.##.###.###...###.##..##.##.##..##.#...##.###.##.##..#..##..##.#.##.##..##...#####.##.#.##.##...#..##....##########.....####..##.#.####..#.#.###..##..#.#..##.#.#.#.###.#..##.###.##..#
#.##.##.##..#####.#..#.#.###.#.##.#...#.#...#.#....#.###.##.......##.##......#...#.....##.##.##.######..#.#.....#.##...#.....#####...#..#########..###.###....##...#.#.##.###.#####.##.####.##..#..#....#########.#.......#..##..####..#..#####..####......#############.#..#.#.#......#.##.##..##..###.#.#..#######..#.##.....#.##..##.....#..#..###########...#.##..#..#.#...#.###.#.#####.#...##...##....####.#.#.##.#.#.##.#.#.#.##..######.#.#..#..#.#.##.#.#####.#.#.#.##.##.##.####.#.#.#.######....###.##...#..###.#.######.#..##.#.#.####.##...#......###.######.###.###..........#.###...##..#####.#.#.##.##..##.######.#..#.##.##..##...##.##.#.###.#...#..##.##.###.##.#.#..#.#####.####..#.#.#...##.##.#####.#.##.#.##.####...##..####..##......######...###...##.##.#.#.....####.#.#.##..#.#.#...#.#.###.#.#.###.#
#.......##.##.....##...#.##....#..#.###.###.#.####.#.#.#######.##.##.#..###.####.#.#.#.##.#........##..######.#...##############...#...###..#.....##.......##..###.#...#########..#..#..##..###.#.####.##.#.#.#.....##.##.#.####.##.##...##.....##..####.###..#...#....#.##.#.#.#####.##.#...##..##..#######.#..###..####..###...###.###.##.##.##.#.#.##...##.###..##.##.....#######.#.#.#######.##.#####.###.##...###......########.#..##.#.#######.#########.#..##.#.#.###.#..##.##.##...........##.###.##.#.####.##.##....#.###..#.##....#..########.##.#####...........#..##..########...###.###..##.#.#........###.##..###.....##.#...#.##..#.#..##.#.#.#.#.#...##..#...#...#.....##...###.#..##.#.#...###.....###...#.##.#.##..#.###.###......##..#.#.##.#..###.#.#.###..#......######.#.###.###.......###.#...#.#.#.#...#
##.####.#..#####.#####......##.##.#.#.#.#...#.#.##.#.#.###...################....#.###......##.#.#....##.#.######...#.##..##.....#.#.#...##.#####..#######.#####...###..###.##.##.##.#.######.######.#.##.#.#.##.##.#..#..#..##..#.....########..##.#....#.##.###.##.#........#.#.#.#..#.##.##..###.##.#.......##.#############.##.#.#.####.....#......###....##..##..###.##.#..#........#.##.##.#...#.#..##...#.###...####..##.#.#....###.#...#.#.....#.#.#.#.#.###.#.#.##..#.##..##.##.#.#.##.####..#...##.#......#...##.###...##.#..#.##.#.##.##.##........######.#####.##.#####.#.##.##.##.#...##.##.#.###.####..##..##.#.#####.##.##.##....#####.##.#.#.#.#####..##.###...#.#####..##.##...#.##..#.#.#########.#.###.#.#....##.##..##.#.#.#######.####.#....##.....#...##.###.##.#.##...#.##..#.##.##.####....###.#.#.###.#
#####.#.##.#.#.####.###.#.#.#...........###...#.#........###.##.##.##.##...#####.#.#...##.##############.....#.####....##..####.########.##.##....##..#.#....####.##.##.....#...#.......##.#..###..............##########.#.####.##.##.#..##.#..##..####...##.#.#.###########.#.#.#.##.......##.##...#.######.##...##.#................##...###.#####.##.##.#.###..##.#....####...#.#.##...#.......###.##.##.#.....######...###.#.####.#.#.###...#####.........#.#.#.#....##.#.#..##...########....##.###.##.##.###.###.#....##.##....#####.#.##....######.####...####.........#.#.....#.#.......###..#..#..##.####.##..###...###.#.##..#.#####..##.#.#..#.#.#..#....##..#.#####.#.#...##..###.##.###.....#.#..####.#..##...####.#...##............#.###.#....########.##.###......####..###....##.......####.####.........##..#
#.......#.......#.#...#########.#.#.###.#####...#######.##.#.##........#.###.#.#.#######..##...........#####.....#####.#..##.#..#.#.#.##.##..####.###.#.##.###.#..##..#####.###.######.##..#.##.###.##.#.#####.##..#..#.#....##...####.#.###.##..##.#.##.###......#.#.##......#...#.#####.#.##..##.###.##......##.##....#.#.#.######.########.........##.####.#.##.#..##.#.##.##.##.######.####.##.....##.####.#####.##.#.#...#...##.......###.#...######.###.##.#.#.####..#.#.##..###..##......#####.###.#..#####....#.##.###..#..####.##.....####...#.....#.##.##.####.##.##...###.#.....#######.##.##.#.###.#.....##.....###......##....##.#.##....#.##.#.##.####.###.#..##...#.###..##.#.#..#.#.##.#.##.#.##......#####.#..#.###..########.#####.##..##.####..##........######.#.##.##.###.#####.######.#.#....##.##.####.##
#######...#######.#.#....#......######..#.#####..####.#.#....#########.....#.#.####......##..##.##.###.##....###.#.#.#.##..#.##.#........###.##.#.#.#...#...##.#.####..##........####..###.#.#..#.######.#......##.##.#.##.#####.##....#.##..#..##..#.#....######.#....##.###.###.#.#..####..##.##..##..######.#...####.########.....#.##.##..#.###.#..#.#.#....##.#.#######...######.......#.#####.####...##....##..##...#.#.###..#####.###.#####.#.#....###.##.#.#.##.##...#.##.##...##..####...##..#.#.##..##.####.#.#...###.#.##.##..#.##.##..###.#####...##.##.#.#####..###.#.#######.#.##..#.##.##.....#######.#..#.###.#.####.##.####..#.#####.#.##.#.##.#.##.#...##..###.......##..#.#.##.#.##.####...#####.####....##.#.#.##..#.#.##......#.###.....#.##..###.#########...#..#..#.##...##....##.#......#.##..####.#...#
###.....#..##..##.######.#########.#.##.#.#.#.#.##......####.#.#.....#####.#....#.####.#.##.#####..#....####.#..........##.#.###########.#.#.##.....###.##.##....#.#..#########.##....##.....##....#..####.##.#..#.#..........##..####...###.##..##.....####...#..####.####.#.#.#.#.#.##....###..#.##..##.##.....#########...#.##.##.#.##..######.####.#.#.###.###...##.#.###.######..###.#....#.##.#.####..##.###..####.####..#..##.#....##..##...#.######......#.#.##.##.###.##.####..#####.##.####.#.#.##.###.#.##.#.###..#..#.##..##.####..#.##.#...#.#.####.#..#.#.....##......##.#.#.#..#.##..#.####.####.#......####.#.#.#.........###.#..##.#.#.##.#.##.#....###.##.##...#.###.###......#.#.##..##..#..##....#.####.#..#.#.#..##.#..##.#####.#.####.##.###.##..#...##....#...##.##..#.#######......#.####..#.##.#..##.##
#.##.#####..##.....#.##....##.#..................######.#.##.#.#####....##.#.##........#..###.#########.#.##.#.#.#.#.##........####...........####.##.#.##..#.##...##.##.#.#.....####.######..####.##..######.##.#...###.#.##..#.##.##.###.#.###..##.##.##.###.##..#.#..##....#.#......####.#.##.#..##.....#####.#.....##..#...####.....##.####...##...#.#.#...#.#.####....##.##.##..###..####.........#.#.##...#..###.#######.#.##..##.#####..###.#.#...####.##...#.#..##.#.#.##..###.##.#.#.##..##..#.#.#..##..........###.##...##.##...#.##.#.#..###.#.#..##..##.#.#.##.########..........##..##....##...##..######..##..#.####.####.###.#.#.##......##.#.##.####........######.#....######.##....#.####.#######.##.#.#..##...#.##..#.#.##.....##...#.##.##.#.#..##...###########.##..##....#.##.#.###.#####.#######.##.##.##
#..###.....#####.###..####.#....###############.##.#............#.##.##....#####.####.###.###.#.###..........#.#.#######.###.#..#.##.##.#.###.##...#....##.#######.##....#.#####.............##.......##.##.###....#.##..#..##....#.#...##.#..###.##..####...#..##...##..##.#...######..##....#..##..#####.#.##....###.##.####.#.######.##....##.##..#.....##.##.#.#..#.##........#.##.##.##.##.#.##.#.#.#..#.###.##.#...##.#..#..##.....##...##.....###..#####..#.#.#.##....#..#.##....#.#.#.##.##..##...#.########.###..##..#.####..###.#.#..#.##.##......####.##.#.#######.......##.##.##.###.##.#######..##.##.#.#.####....#.#####...##...#..#####.###.#.##....########..##.##.###.##.#....#####...#.#...###..#..#.#.##..#.#....##......##.#######...##..#.#.##..#.###.##..##.#.....####.#....#....#######...##.##..##.##..#
##.....###..#.#....##.#....####.#........##.#...##.#####.###.##...######.#..#.#####.###.###...#...#########.#######.#.##.#...##...#########......#...#.##...###.##....####.......#.##.#.#.##..#######....#..##..#.##.###.#.######.#.#.#..#.#.##.#.##.###.###.##.####.###..#####..###...######.##.#..##.##..#..##.###########......#......####..#.#########....##.....#######.####.####.####...########.....##.##..##.#.###..##.#.##..###..###..####.#####...####.#.....#..#.##.##..###.##.#.#.#..###..##.##..##.#.#####..####...##.##.....#...##.#..#..#########.##.#..#.##.####.##.#..#..#...##......##.###.##.##.....#.#..####.###.###..###...##..#..#...#.###.#.....#####.....#####.#....##..##...#.#.#.###.##.##.#.#..##.####.#######.###..##.##.###.##.##.#..##.#.#.#....##....#####..######.#.##...#.#.###..#.#..##...#.##
###########.#.##.####.##.#..######.#.#.#......####...#....##..##.##.##.####.#.#.#....#..#####.###.#..####...##..#.#......#.#.####.#.##.#.#..###.##.#.#....###...#####.########.##############.##.#.#####.##....##.#..#.#####.#......####.#...##...##.##..#.#.##.#.#..#.##..##.##.#.###.#####...#.#.##...##.#.##....#..#.##...##.#...#.##....##...#.##.##...##.#..#.###.#.#...#.##.##...#.####.##.##.######.....##....#.#.##....#..#####..##.##..###..#.###.##....##.##...#####.##.###..##.#...##.#...##...##.##...#.#.##.#.####.....#####.###..#.##.##.#.##..##..##.#.##.#.......#..##.#.##.#....#######.#...#...#####.#.##..###.#....###.#...#####.##.###....#######.##..####.###.....####..##.###.####....##.#..#..#.#.##...##...##.#.#...##.#..##.##..#..##.#.##....#...########.....##..#.##..#.###.##.#.###.##...#####.#..#
#..##.##.#....#..###...####.#.#..##########.#....###.#.#.##..###.#..##......#.#.####.##.#.#.#.#.#.#.##....#####.#.##.#########.#.........################.#.##.##.##.....##.####......##.#..................#.##..##.#.###.....##.#..##....######.##..##.#....#.#.##.#.###.##..#.#..#...##.###......#.###....###.###.##.####.######.#######.####.#.##.##.####.#.##.##....##.##.....###..............#..####.########.#.#..####...##.....##..#..##...##.#.#.###.#.#######...##..##..#..##....#..#.##.####.###..##.##......#.#.###.#####.##..###.#.##....#..##..##.#..#..#.#######.##..#####..##.#...#.##..###.##.##.##....#..##.#.####.#...###..#.##.#..###.####..###...##.#....#.#####.##.##.##.#.#.#.#..####..##.##...#.#..###..#..#.....#.#..#.###..##...##.....##.#.##.####.###..#.#####...###.#..####..#........#.##....#.##
##.#.....####...##.#.#.####.#.##.##...#.###.###.##.#.##########....######.#......##..##.#.#.#.....#..#.####.......####.##.#.##.#########......##.##.#.#.....##.##.#..#####..#.######.##..####.#.####.######.#.#..#####.#.#.#########..####....##..###.#..##.#.....#....#.#.###...##.###..#.#...####.....####..##...#..#.#.####.#.#..##.............##....##.....######.###########...###.##.#.#.#.#...##....##.##......#.##.###.#######..##.##.####..#.#.....#####.#.#...#####..##...#####.###...#...##....##.#...##.###...#.#.#.#.##..#..##......####.#.##..###.##.##....##..####..#############.##..#.##......##....##.##......##.#.###..##.##.#....##.#.###..##.##.##....##.#..##...##..#.#..#.......##.#..##...###...##...##.##.#####.####.#.#.##..###.###.#######.##.#....#.##.###.#.##.##.#...##..##.#.####.#######.#....#
#....#.#....###..#.#.###.#..#.#..##.#.....#####.#....#####......##..##.#####.#.#.###.##.#.#.#####.##.###.########.#.##...................###.##.....#...#.#....##.##.####..##...##...###.##.######...##.....#######.##.#.####.##..###..#.#.######..##.#.######.##...##...#...###..#...##.....#.######.###.###....###.##...#.##.....#######.#.#####.#########.##..###.#..##.#.##..###...##############.#####.#...######...##.#.#.####.###.##..#.#.###.#.###.######....###.##.##.#####.#...#######.##.#####.##..#.#######..#.#.#.#.#.###...####.#.#..###....##.#.#.#...###.###.##.######.#.####.#.#..##....######..######..#..######....##..###.##.####.#..#...##..#.#..###.#.#....#####..#.#####.#.##.####....##..#.#####.##.###..##.#..#...##......##.##.#.#.#...##.#..#..#.####.##..##.#.#..#..##.###.##.......#....##.####.###
##.#######.##.#.##....##.#.##.#.###.##.##.###.#.###.##.#.#####.##..##..#.#.#####......#.#.#.##.#.....##...#.#.###...####.#.##.####.#.##.##...######...#######.###.##.#..##.####....#..#...#.##.#.########.#.##.#.......#..#...##.##.##.#.#.#.##.##.#....#.##.###########...######.##.##..##.####.......##.#.#.#.##...####.#..##.##.##......#.#.....#..##..####..##.#.#.###......##.##.##...#.#.#..............###..#.###.........##..#.#.###.#.#.#.#.#.##...##.#..##.##..##.#....##..#.####.#.#......#.#..###.....#.#...##.......#.#.###.##.#.####.....####....#.###...#..#..##..#.##...........#.###.####.#..##..#...##.#.##.##...######.#...##.##...##.##.###.##.##.#.#.###.##...####.#.#.#......######.########.#.#.#.##.#.####..##.#.#######.####.##...#.#.###..##...##.##.#.#..###...##.#.##.......##.####.##.#.##.##.#...#
#..#..#.#........####.#..#.#....#.#######.#.........##.#.#.##...##..##.#.#.#...######.#.#...#..##.##....#.#.#.#.###.#....####.#....#.##.##.#........####.#.#....#..#.#.##...#.#.#.###.###.#.##....#####.###.##.#######.##.###..........#.....##....##.###..#..#.#..##..#.#...#.#..##.########.####.###.#....#.######...##.#.##..##.###############.#.####..####..#.#...#.######..#....##.#.......#####.##.#.#...##...#########.#####......##.#.#...#.#..##.###.#.###..##.##...##.#..##..##..#.######.#.##..#..#####.###..#######.....#.#.#..####.#####..##..####.#####...##.####.#.########.#.#...#.#.#.##...####...###....##..###.###..#.###..#..###.#..##...#.#..##.#.########.###......#.###.#####........#.##..#...#.#.....##..##......##.....#.#.###.##.#..###..###..#....#.#.##.###..#.#..##.#.####....#######.#..#....###
#####.#.##.##.##..##..##.#.####.#..##.#.....#######..#...#..#.#.#..##..#.#.##.##....#.#.###.##.####..####.......###.#######.########.##..####.#####.#........##.##.#.#..###.#.#.#.#...#...#.####.##..#..#####...##.#...#...#####.#.###.##.##..####....#.##.##.#.##.#..#####.##.##.##..##......#.#..#...###.##..#.##..####...##.#####.#.#.####.#.#.......##.#.##.##...###.#.##.##.##.#..#####.#####.....########.####.#.##.......##.######....#.##.##...##...#..#.#.##.......#######.###..##...####.#.#..##.##..#.##...########...###.#.#...###.........####......#.#.###.#..#.##...#..##.########...#.#.##.####.###.#.##.#....##...#.##.#.#.##.##.##....##..###.#.##....##..##.#.#.######...#.#.....#####.####..##.###.#.####.####.#####.########.#.#.#.#......##.##...##.#.#.##.#.##..#..##.##..#.####.##.###.#.###.##.####.###
#.##.....#######.####..#.#..##..#.##....#.#.#..#.###.#.###.#######..##.#.......####..........#.#.#..####..#.#.#...#.#.###....#.#.##...##.#..###.....##.#.##.###.##.#...####...#######.###.#.#.#...##...##.##..#..#.###.##.##.#########.######..##..#.##....#.....#.##..##.#.##.#..##.####.###.#.######.#.#.##.##..##..##..#..###.##......#.#....###.#####.......##.#.##..#.#...#.####.##..######...##.##.#.#.##.#.#....###.####.##.#.#######.#.......#####.##.####.###.####.#.#.##...#..#####........#.##...##.#.####..###.....#.##....#.###.#.#######..##..######.......##.#..###.##.#.....#######...#.##..##.........###.#######.#.##.#.#.##.#..###.#....##.#.#.####.####......#..#.#.###.#.#.###.#..##...##.##..#...#.##...##.#..##.#...##.#.#.......#.##.####.#..###..#.####.#..##.##.##.##.##..#.#.##..##.#.#.###...##....#
#.#..###..##.#....####.....##..##..###########.....#.#.##...##.#.##.##.###.###.#######.#.###.#.#.#####...####.#.#...#.#.##.#........#.#####.....#.#########.#........###..#.#....##.....#...#.##.####.###.######........#.#.....#.#....#.##.##....########.####.##.#..###......##.#..#..####..#..##........##.##.##..####.####...####.##...####...#.....#######....#.###...###.#.#.#...##.#.##.########.............##...###...................#.###..#.##.....##...#####.......####.#.##.##..###.##......###.....#.#.##.##.#.##..####....#..###.##....####.###..##.##.#..#.#.##......##.####.#.###.###.#..###########.##..#.##.##.#......#..#.##.#.######..#.#.#..##....##.#.##.##...#.#.#.#.#.#.#.##....####..##.###....###..#.##.#..#.###....#.#######..#####..##...##.#..#.#.#.##........#.....##.#..##.........###.####.###
#.#.##...##....##..#.##.##....##..##.###.......###......##.##........#.#.####..#.......###.....#.#.#.##.##.########.#.#..####.##.#.##.#...#####.#####.#.....########...##.###.#########.###.......##..#.#..#.##..######.#.#####...##.#...##..###.##.#..##...##...#.##.#.####.#..#...##.###.##.#.####.#####..#..#..##.##....#.##.##.#######.##.###.#.######.##.####.###...#..#....#.###.##.#.....###.##..#.#.#######..#######.#.#.#.##.#######.#####..##....#.######.......###.###.#....#...#.##....##.#.#...###.###...##..######.###.##.###.###...####..##......#########.....#######.##.#.#....#....#..##.##.##.###...###.#.##....#.####...##.##.#.##.#.##.#.#...##..#########...###.#...#.#.#...#######.#....###..###.###.##.#..#.##.#.#.####.#..#.##.##..##.##.####.#..##...#.#..#####.##...##.##....##..#########.#.##...#.#
#.###..#..##.#####.#.########....##....#####.###.#####.###.###.#####.#.#.##.##.###.#.#.#...#.#...#.#.####....#.#......##...##############.......##..#.##.#.##.#######.##...##...##.#......####.####..##.##.#..######.#.....##.###..#.###..##..##....##....#..##.##......#....##.##.###..#........#######.##...##.##...###.##.#..##...#.#............##.##......##...##.####.####.#.#...##.####.##.#....########.####.##.##.#.#.############.###.#.##.#..#.####....#########.......####...#.#######..#####.#..#....##.####..#.#.####......##...##.###.#.###.#######....#.#.##.##.#.#.#.##...####.####.#.###..#.#..#.###.#.#....####.########.##.##.#.##.#.#..#.#.#####.#..#.#.####.##....#.#...#.#####.....#.####.##.#.#.##..##.##.#.#..#.#.#.##.#.##.##.##.###..#.#.##.##.####.#.##..##.###..##########.###...##.#.##...####.#.#
#..######.######.#...#..##.####.######.#.#.####........##...####.##....#.##.##.###.###.#########......######.#.##.###..##.##.##...#..##...####.####.#.######.......##..##.##..###..######.##...###..###..#.#.##.##...###.#........######.##..##..#.#########.##.####.##.######.......##.##.#.#.#..#.#.......###...##.###..##.##..###...#####.######..#..####.######..####........#.###.##..##.....####.#...#......#..##.##.#######...#.......#.......#.##..######.###.##.####.######.###.####.##.#####.#####...##.#...##..##.#.##.#####.####.##..##..#.##......#.####.#.###..............####.#........##..##.##....##...#.#.##.#...##...##.##.##...##...##.#.#...##....##.#.#.##..######.##.##.##..#####....#.#.##.#.#..##.##.##.#.##.#.#.#.#..........##.##..##.#.#......##.....##....##..##..##.##.#..##.###..#.####..##..#.#
##......#...#..#.###...##........##....#.#..#.########..###..##...####......##.#.####..#.........##.#........#.#######.##.#..####...#######.#####...#..##.#..#.#.#....##...##.#.##..#.##...##.##.##.#.##.#.#.#...#.#.....#.##.#.#.#.##....##.###.###.....##......######.#.########.###..########.##.#######.....####.#.##....##.##.###.##....#...###.#.##..#.##.##..###...####.#.#..#...##.###.##..#######...####.##....##..#.##.###.#######.#######.#.#####.##.....#.##.#.##....##.......##..#..##....#.#.##.######.####.##.#.#.....#..#.#..###..##....#.######.#.#....##..#####.#.####.##.#.####.###..##.##.####.#####.#.####.###..##.##..##..###.####......#.######.##..#.#..##.#.#.#...#.##..##..#..##.###.#.#....#.##..##.#..#....#.#...#####.#######..##.#....##.##.###.#####..######..##.##....##.##...##....#.##..##...#
#######.###.##...#.##.#########.######.#.##.#.###.##.##...##.#..#......##.###..#.##.##.###########..#.######.#...#........#.##.#..#..##.##..#.#.###.##.#..###########..#.###..#..##.#..###.......#..#..#.#.#.##.#####.#.##.######....#.##.........#####.##..#.##...###..#.#..#.###...##.#.#.#.#...#.#.#.....######.#.#..###.##..##.##...########........##.#..#.#..##.#####..###.##.##.##..#.#####....##...#.#.....####..##.#.#.......##.##.......#..#.#.#.#.##.###.#.........####..#.#.#####.##.#####.....##.##.#.#...#.....#.#####.##.#.##.#.##..####.......##.#.####.######.########..##...######.#.##...#.#..#..##.#.#..#.#..##.##...##.###........######...#.##....##...#.##..#.#.###.#.#..###.##.##..###...####......##..##.####.#.###.#.##...#....##.##.#.####..#..##..##..##.#.#.#..###..####.#...#.######.##.#..##..#.#
#..##.......####...#..#.##.#.##.##...#.#.#............#.###....#########....##.#.##.####.#.#....#######.##.#.###...#.##.#...##.#####....###.#.#.#.#.##.##.#..#########...#.##.##....##.#########...##.##.#.......##.###..###.#.#####.############..##...#..######.##.##...##...#.#.###......#.###.#.#.#####...##.#.#.#.##....##.##.###.##.####...###.##......##.##.##.....##..#.........##.......####..##.##.#####..##..###.#.#######.#..########.##.#.#.#.#.####.#.#########.#.#..####...##...#.#.....###.#.......###.##.##...##..#.#.......#.##.##.##.##.##.##.#.##...#.#......####.##.#..#.#..##.....###.#.##.##.##.#.##.#.#.##..###.##...######.####.#..#.###..#.#.#####....##.#.#..##.....##.#..#.#..##.#.###.#######.###.##.#.##.#.##..#.###.##.#####.#..#...#####.####.##.###.#.#.#.##...##....##.##..##.##.##.#.##..##.#
##.########.#.#..#.##.#.#....#..####.#.#.#####.#.####.#.#####.##.........##....#.##.#.#..#.#.##.#..#.#...........#.######.#.....##.####.#.#.#........#......##.#.#..####.#.##..####.#..#.#.##....#..#.##.#######....########..........#..##.....#.##..#.#.#######.#...###..###.#.#..###.#####.#...#.#.###...###....#.#.#####.....#.#....#.#....###...##.##.#.##.##.##.#######.####.###.######.##......##..#..######.###.##.....###......##.##.#........#.#...#.#..#.##..###.#.#...##.###.##..#.#.#######.#.##.######.#..###..#####.#.######.##....#......#######...####.#.####.#..#......##.####.####.###...#.##.#..#....#......###.#.#..##.##.#..#.#.#..##...#.#.####..##.###.###.#.#.#####.####.##.#.##..#.#.##...##.....#.#..#.#....#.###.#.#...##.#.##....##.###.##..##.#....##..#.#.#.####.#####.##.##.##..##.##.#....#####
#....##.......####.#....####.##..##.........########......#.#######.#.#.##..##.#.##.#.##...###..##...######.#.##.####.#...##.##....####...#.########.######..#.#.##...........##..#.##......###.###...##.#.....####.#.##.#...########.#.##..#.#....####.###.#.##..##.##.#.##.#.#.#.##.#.##.#..###.#.#.#.###.#...##.#....##.#####.#.####...####.#...#.##.####.##.##.#...#.#.#..######.....##.#########..##.##.#.......##.#####.##.####.#.....#.########.....###.##.#..##.#.....#.###....#######.#.#.#.##....#....##.....#####.##..#....###....####.###.##.....#.###..........#####.######.....##..#......###.#.##.##.####.##.#.#..##.#.##.##.##.##.#...##..###......##..###.#...##....#..#.##.#..#.##.#.#..##.#.###.#######.#.##...####....##.#.###.##.#.#..##.##.#.#.#..##....####..##.#....##....###.#..##..##.##.##...####.###
#.##.########.###..###.##....###..###.#.###.#.#.##.#####.##.##.#..############...##.#.###.#####..###..#.....###..##.....########.#......#....##......#.#..##......######.#.##..##...#####.###.#.#.###.##.#####.###....##.######..#..#.#..####.#.##..##...#.......##.....#.##.#.#.#.##.#..#.##.##......#.......#######.####.#.##..#.##...#..##############....##.##...###.#.##....#######.#...#.#...#..#########.####.##.#.#.#.#..#.##.##.##.#..#.##.#..#####...##.##.##.#####...##..####..#.#.........####.#.#########..#.##..##.####...###.##..#.##..##.#.#....#######.###.#.##...#.#.##.######...##.###.........#.##.#..######....#.##.##.##.#..###.###.#.####.#####.#.#.###..####.#.##.#....##.##.#.##..#.#...#.##........####.##.####.##....##..#.#...###.#..#.#.##..####..#.##.#....#.####.###.#.#.###.##...#..###...##.#.#
####..#.#.....#...##....####.#.#.###..#.#.......##..#.....#.##.##.##.#.#.#.#.###....#.#....#.###...##.##.#######.#####.##..########.###.####..####.#.#...#####.##..#.#.#######..###.#.#.#...#.###.#...#..##.#..#.####.##..###.##.##.#.#.##.########..###.#####.#.##.###.#.##.#.#...##.#.##.#..#######.##.#.##.##..#.#....#.#..##.#.#######...#####..#.######.##..#.#.###.#.#..####.#.....#.###.###.##.##....#######.....#.#...##.#..#.#####.##.#.#....####.#.#.#..#..#..#.#####.###....##...#########.........#.##.##..##.#..##...##..#..#...##.#.#####..####.###..#######....####...#.##......##.##..##..##.##.#...##.#.####..####.#.#...#.##.##.#.......#.###...#.#..#.#.#...##....#....###.##..##.#..##.#.###....####.###..##..##..##..####.###.##...###.####.#.#.##.##..#.##..#.#.######.#..##....#.#....##.##.##...#.##.#.#
##.##...#####.###....##.#.#........#.##.#######.###.#####...##.##.##.#...#.#..#####.#.####.#.#...###.....##...##.#...#..##.#.##.#############...####...#..#.######.#.#..#.##.##.###.#.#.##.##..##.###.#.###.##....#....##.#...#...#.#.#.#..#.#.#.#..##.#.#.#####.####.#.#.##.....###.....#.##.#.#.###.######...##.#.####.#.##.#..#..#.##.##.##.#.##.#.#.#.#...##.#.#.#.#...##.#.#..#####.#.#.#.#.#.##.#####..#......###...###....#.####.#.#.#....####.##.#.#.####.##.##.#.#...#..###.######.##.####...#.##.####.##..##.#..##..###.######.###.#..#..#.#..##..####..##..##.##.#...##.#....#.###.######.##..######.###..#...##.##.#..#.#.#.###.##.##.#######.#...###.#.#.##...##.######...####....##..#.#.##....#.##.###.####.##.##.####..#.##..#.#.#..#.####..###..#...#...##....##.....###.##...##..####...#.###.##..##.#####.#.#
#..#..###.........#.###...########.#######.......##.#.#.#.###.....##.###.#.#.##.###.#.#.##...#.###.####.#####..#####.##.#.....#..#.##..#......###....####.#.#.#......#.##.##....#.....#.##.###..#.#...#.##..#####.##.#....###.###...#...##.#.#...##.#..#.#.#.###..##.......#####...#####.#.##.........#.#.##.###..#.#.#....#..##.##.#.#...#.##.#.##.#.#.#.###....###.#.###.##...##.#.....#.#.#.#....#...####.########.##.##.##.###..##......####.##...........##............#...##....##....#.....#######..##.#..#.##..#.####.#.#..###.#...#.##.##.....####..##..###.##...#####..######....##.#.##....#######.#####.##.###..#..##.#.#.#.#.#.#...#.##.#.#..#.###.#.#....###.....##.#..###.#..#####.##....#.##.#.#..#.#.#.#..##.##.#####....##.....##....#.#.##.##.###...#######..#####......###.#..##..#####.#.#.##.###.#.##..#.#
##.##.#.###.#.#.#.#.#...#...#..#.#..##.#.###.###.##.#.#.#...#####.#..#...#.#.##.#.#.#.#.####.#.##..#.....##.##.##....########.#.##..##.###.##...####.#........######...##..####.#####.......###...###.#.###.#.##.....##.#.......###.###.##.#.###.#..##.#.#...#.#.##..#.##.##.....###.#.....##.#######.#.#.#..#.##.#...####.##.#..##.#.###.#.##...##...#.#.#.####..##.#.#.#....#......#.#.........####.###.#...#.##.....#.#...#.#.##..######.......###.##.##.###..#.##.##.####.#..##.####.##.#####.#.##.###....#.##.#..##..#.#.#.#.##...###.#....##.###.#.#..##..##.#..#.####.##.##...###.###..#.#####..##.##...##.#.#....##.##..#.....#.#.#.#.###.##.#.##.#..##...#.##..##.#.#......##.#.#.###.#.....######....#.##.....##.##.##..##.##.######.###..####.#.#..##.##..#.#..#####.#.##..######.#...###.##..#..#......#......##.#.#
#...#.#.#.#######.####.####.##...#.##..#.#.#####.##...#.#.###..#..##.###.#.#.##.........#.#.....##...#.#.##.#...##.#...##..........##...#####.####.##########.#.##...#..#.##..........#.##.##.###.#...#..##....##.#.###.##.#.##.......#.##.#.##..##.##.#.###...#.########.######.#.#.#####..####.#..#.#...##.#.##...###.#..#..#.###..........###.####.#.#.#.#.#..##....#.##.#.###.####.####.#.##.##.#.##..###.#....###.#.###.#...#..##....##.##.#.#.#.##.#########.#..####.##.##.##..#.####.........#...##.##.#.#..##.##.##.#...#..###.#.#.##.######.......##..##..##....##......###.#...#.####.#.#.##..#.####......###.##...##.#####...#.#...###..#...##.#.#####.#.###..##########.##.#.#.#.#.#.######..#..##.#..##.#.##.....##.##...#.#.#.#....##.####.#...###.###.###.##...#.#..##.##..#..###.#....##.##.####.###.####.#..#.#
###.#.#.#.##.##...##.#.#.......#...###......##.#.####.#.#...##.##.#..#........######.##...####.###########....#..#####..###.#.####.####.#.#....##...##.#####....#######....##############...#..##.###...###.#.########..#..#.##.#####.#.##...###.##........###.#..###.#.#.#..###.#.#.##.###..#.#.##.#.###.#.....#.###...##.##.#.#.##.######.##.#.#.#....#.#.#.##.#####.#.######...####.##...###..##...##.##.#.####.#...#.###.###.##..###.###.##.#......###.#...########.#..####...##....#.#########.###.#..##.#.##.#..##.##.###...##.......##.#...#####.####..###.####.#..######.##..###....##.......#.##.#.#######..##..###..#.#..####.#.#.###.##.###........##..#.#.#####..##.###.##.........#..#.#.##.####..##..#.######.###..####...#.#.###.##.........###...#...##...###...#.###.###.#.##.#.#.#####..#.##.#.##....#####...#
#..........#..######.####.##.#####.#.#####.###....##..#.##.###.##.##.###.#.##.#.##.#####.##.#...##.#....########.##..#.##...#.#.....#.....####.##.###........##.......###.###.##....#######.#.##....###.#.###.#.##.#.##.##.#..#####........#..#...########.#.#...##.#...#.#.##.....#.#....##.#.#.##...#.#.####.##.#.##.##.......#..###...##........#.##...#.......##........##..###....#..###...#####..#.#....#.######.......##..##.##.#...#######.###..##.#.###.##.##....##.###.###.####.#...#.#...#.#.##.##.#.#..##....##..####..##.#.##.##.#.###.#.....#..##.#.##.####..##....#..##...###########.#.##....##.####.##.##...##.##...........##..#.....#.###.####...#..##.#.##.......##.######...##.#.....##..####.#..##......##....###.#.#.#....#.#############.#.#..##.##.###.#.#.#.#.#.#.#........#.##.#.##...##.####.##..###
#.#.##.#.#.#.##.#....##...######...#.........###.####......##..........###.#..#.#...##...#....####.####.#....#...###....#########.#...#.#.........#.########.#..#.###..#....#..####.#.#.##.....####.......##....##.#..#######.##....##.##.###...#...##.##..#.##.##..###......#####...##.#....#.#.####.#.#.#.#..##...##.###.####.##.##..#....##.###.######...####.######.############.####.#####.......##.####.....##.#######.###.#..##.###.##.##...##..##....##..##..####....#.#.#.#...##.###...###.....####..#.##..##.#####...###.#######.#....##..#####...###....#..#.##....##.##..###..#.##.##......####.##....#...#.####.##..######.###.####.##.##.#####..##..#.#.##..#..###.###.####..#...###....#.###..##.##.##..####.#######.##..#.#.####.......#.#.#.#.#.####.##.##.###.#.#.#...#.#.#.##.#.###.#..#..##.###...##.##.####
#.#.#..#.#...#..#.##..###.#....###...####.##.#....#.###.##.#######.###..#####.#.#.######.####.##.#.##...####.###..###.###.##.##.#####.####.##.#.#....##......######.##...##...##........###.##.#....####.#####.##..#.##.....###..#.##..#..#...#.###.....##...##..##.#.##.#####.#.#.###..####.#....##..#.......#####....#.####.#..#..#######..####...#.#...#####..#.##....#.#.###..#########..########.##.##.#####.#........#.#.#.##.#..#.#.....##.####..##.#####.##.##....##.....#.#.###...####.##..###.#.###.#.#..##....#.###......##.##..####.##.##.#####.#.####...##..#.####...##.#.##.#.#..#######..##..#####.###....##..##.####.##.#.....#..#######...##.#..####..##.##...###....####.###..##.######.##..#.#..##.##.....#.##...###.#.#..##..#######...#.#.#.##.#.##.##.......#...###.#....#.###.#.##...##..#.#.###..##....#
######.#####.#.######..####.##.....###....##.####.....#.##..##..#######.#.#.......##..#..#..#.##.#.####.#..#.##..##...##..#.....##..####.#.#########.###.###.##..#.....####.#..##.##.##..#####.###.###.#..#.#...##.#..#.#.#..#..######.##.#.#.######.##..###.##.###.......##........######...#.######...##.##..##.####.#.##.#.#.##.##.##....###.##.##.#######.##.#.####.##.#.#...##.#..#..##.#.##.........#.#..#..##.#.###.......##.##.....#.######.###..#..#.#......#######.###.#....##.###.#..######..#..#....#.#####.##...#####.##..###.##...##..#.#.#.#...#.####..##.###.##.#..#.#.#..#.##...##....####..##.#.##..##..##.#..##.#..#######.#.##.##.####..#.#.##.##.###.####..####.##.....###.......##.....##.##.....####.##..###.......##.##.##.##.####.#.#...##.#..#.########.#.###.....#.##.##....##.#..##.#.#...##.#..####
##...####.#.....##..##..#####..#.#..##.##.#....######.#####.###..###.##.#.#######..##.##.##..........#..##.#..##.####..##.####.####.#......#.....##....#####..##.##.#.##..####.####..###.#.##...#####....##.##.##..#.#######...##......##.#.###......###......#...#####.##########.##..#.###.....##...#.######.##.#.##.#.##.....##.......##.#......#..###......#.#..##..##...###.#..##.#.##.....#######.###.##.##..#.#.##..##.##.##..####.######.#...###...##...######.#.#.###...#.####...##.##..###.##.##.####.#...###.##.###.#.#..##........#####.#.#.#...###....##.##..#...#.##.#...##.#..###.#####..##..##..#.##.####..#.#.###.##.###.......##.##..####.#.#.##..#.##...##..##.#...#####..##.#.###..#####..#.###.##..##...#.##.#####.#.....#.##.....##..#.###.##.##....##.##.......#.############.######.##......#....#.###.#
#..#....#.##.##..##.##.##.##..##.#.###########......#.##.#..#.#.##.#.#......#.#...###.#..##.####.#.#...##..#.##...#.#.##...#...#.#..##########.#....#.###....##.....#..##.......##..##.#......#..##.####..#.#...##....####.###########.##########.####...####.#.#####.#.###...#.....##.#.....#.#..#######.#.#...#.#.#.....###.#####.#.############.##.#.######.#.#.####..##.##.#...##..#..#####..#.#.#...#........#############...##..##...###.#...###.###.####.#..##..#.#.##..#....#.###..#.###.........#..###.#.###......#.#.#.##.####.###.####.#.#.#.###...#.##.##..##.#.#####..###.#..##.##..#.#.##.##.####.#..###..##...#..#..##.#.######.##.....##....#.#..#.##.##.#..##.#..##.##.#.#.#####..#####...##.#.#.#####..##.##.##.#..#####.#.##....##.##..##.##...#.####.##.....#.#####.##.#..#.#.##.##..#...##.########.#.##..#
#####.#.......####..#........##..#.##....#.#...#.##....#.#.##...#..#.##.###.#.###.##..##.#####.#####.#.###....#.#......###.###...##......##.#########.#...#.####.##.####..#####....##....#.#.##.##..#.###.#.###..###.##.#...#.#..####..#.#.#....#######.##.......##...#.#.###.#####.##.##.#.#####.###..#......#.#.#.###.####......######..##.#####.##....##.##......##..###.##.###.###.#.####.##.#.#.###.#######.####.##..##..###..##.#..#.#...###.#.#.....#.#....####.#.#.##.#####.#..##.##..##.#######.##.#.#.#.#.######...#.#.....#.####..##.....#.#.#.#.######.#..###...#.##..##...#.##..##.##....#....##.....###..##..#...##.###.#.#.#.#...####.######.#.#.##....####.##....##..##.......##..##.#.###....#.#....###.##.#...#.##..##.###..##.########.##..###.#.#.##..##.##.#.###......#.##.#..#..##.###.##.###..#####.##.##
#...#.##.##.#..#.##.###.####.#..##.#####...##.##.#####......###.##...####......##..##.##..##.#..#.#..#.#.####.######.###.#.#####..######......##......##.##.#.####..#..####.#.##########.###.#...##.#.......#.##.#...##.###.#.#.##....##...####......#########.#..###.#.#.#.#.#...#..#.####....####.##.########.#.#.##...##..#.####....##.#.........####.#...###.#.##..###...#.#.#..##.#.##......#............##...#..#..##..####.##....####.####..#.#####.#.####.##...#.#.####.###.#.###.##.#######........#........###.##.##.#####....#.#.#####.###.#.#.#.#.##...##...###.#.###..###......###.#####.#.#.##..#.###.#.###.###.###.##........###.#.##..##.#......###.#..##..##.##..##..###.#.#####.#....##..##.#.#.####.#.##.##.##.###.#...#..##.....##.##.##.###....#.##.########.#...######.##.#.##.###.##.........##.##...#..#
#.#...##.##.##..........##...##.##.#.....#....##.#.#.#.#.##.##...###.#.#..###.###.##..##.##..##.#.##.#...##...##.#...##..#.#..#..#########.##....##.#.....###...######.#.#.....##.##.###########.#..#####.#......##.###.#.#...#.####.#####..#...##.#..##...######.#.#.#.....#.###.##.#..###.####.#..##.......#....#.####.#####....####.##.#########........#.#####..##.#.##.##.....##..#..######...#.#.#.#.##..###.##.##.###.##....#.##..##..#..##.#.#.#.#.#.###...###.#.#.#.#........#.#.##.####..###.####.##.#####...#.......##..####.....#..##.#.#.....#.#..###.##.####..#.#.#.##.#.####.##...#.#..#.#######..##.#.#.####...#...#.##.###.......##.##..#####.##.###.####..####.###.##.###.##.##.#.########.......##..........##..##.###.##..##.####...#.#..##..##.#.#...#.##.##...####.##...#.#.##......###.####.###..#.###.##
#.#####...#####.#.#.###..#.#.##..#######.##.#..###.....###..####.#.#.#.#.##..........##..###....#..#####.#..#....###..##...##.#.###.........##.#.##.#.#.#######.#.###....#####.##......###.##.##.##.#.##########.##..#..#.###....######.###.##.###.##....#....#.........#.#.......##.##.#......#.##.##.#####.##.#....##....##..####.##..........##..#.####.###..###......##.######..##...##.#..###.#.#.#######.....#.....#.#..####.#####..#.##.##............#.#.#..#..#.....########.........##..#######...##..###..#.###.######.##..#####...##....#####.#.#.##....#.#..##.#.#.#.#..####.#.####.#.##....##..##.##..#.#..#.###.#.#########..#####.#...##.#......#.##..#####..#...#...##..#..##.#......#.#.###.##.#..#.####.##.####.##........##...#.##.##...######..#.##.##.##.###.####..#..###.#..#.###.####...####.##........#
#.##....#####.###.###...##.#.#..##..##...##.#.##...#.#...##..#.#..........##.#######.#..##.####.#.###.#..####.######.####.##..#.#.######.##..#####..#####.#.##....#.###.##......#####.##.#.#.....##.#...##.#..##..##.##.#.#####.##..#.#.#...####....##.#.#.##...######.##.#.###.#..#.##.##.#####.#...####..#.#####.######.####...##.###########.#..####.....#..##.#####.##......###.##.#..#.##.#.###########.#####.#####.#.##.#.##..##...##.##..############.#.####.##.####.##....#.##.##.#######.##.##.###.#####.##.#.##..#.##....##.#.#.###.###.###..#......###.#...#.##..#...#.##.##.............#.##..#.##...##.#.#.##..#......##.##.#.##.......###....###.##..##..##.##.###.##.####...###...##.###.#.#...####.####.#####.#.#...#######.####.##.##....#.#.#####.#.#......#.#....#.##...##.#.#.##...###....###.#...#.#.######
#..##.#..##........####.#..########....#.#..###..######.####.....##.###########...#..##..#..###....#..##..##...##..#.##....##.#.#.#.##.#########...##.....#.###.#...#....##.###.#......#...#####....##.##..##....##..##.#.#.#.#..##.#...##.##.###.#.#..#######.##......##.#.######............##.###..#.##.#.#.##..##.##.......###...##.#..###....#########.#.###.#.##...##.##.##....####.#......###..##.#.#.............#.##.#.#..#####.##..#.##.##.###.###....#.#..#.##....##.#....###...##.##..##....##....###.####.###.#.#####.##..........##.#.##...##.#...###.#....##.###...##.##########.##.######.#.#..####......##...###.##...#.####.#####.#.####.###..##.###..#.#..##...#.##.###...##.##...##.#.###.#.#...##...##.....##.##..#.#...##..##.#..#.####.........####.###.###.##.##.###..#.#.##.#..#####.....#.###.###.#..#
##.#####.####.##.#..##..##..#.###.###.#####.######......#.###.##.#####......#.###.##.###...##.####.##.##.###.#..##.#..####......#.#.##.##...##.###.#..###.#.#.#####.####.####...###.##.###.#...##.#.....##..####..##.##...#.....###.###.......#.########........####.#..###.#.#....##.####.#####.#.##...##.#....##.##.#####.########.##.##.#.####..##.#.###.#.#.#.#..##.###.######.#..##..######.#.##....#.####.##.#.#.#........##.#.#...##.##.##.##...#.#...##...##.#.#..##########.##..#.##..##..##.#....####.#.#.#.........##....#.#.####.#.#..#.#########.########.#.#...###.##....##.......#..###.##.#.##....#.##.###..###....##.##..#.#######.#.##.###.#.##..#.##.#.##....#...##..###.########..#.#.#####.##.#####..###.####..##...##.####.##.#.####..####.####.#.##.#...#.#.##.....###.....#####..###..#####.#....##.#.##
####.#.###.#######.####.#..##.........#.#.###.#.#########.#.#.#..#...#.####....#..##..#..###.....#...........##..#.#.##.######.##.#.#...##.##..#.#######....#.##.##...##.#.#..#..#####.###.###....#.##.##..##.###.#...###.#####.#.#.####.####....#.##..#######.##....########.#########....#.##..#..###....####....##..##...#....###.##....#....####............#.##.#..#.....##.#.##..#.##.#.......####.#.#..#################......##.##..##.#..####.#.##.#####......##..##.##.#...##.##..##..##..######..##....#.########.######.#####.####.#.##..##.#..#...##.##.#.#####..#..#####..##########..#..##.#.#..#######.#.####...##..#.###...###.....#.#...#..#..##.#.#..#.####.###.####...#.#.##.#.#.##...#.##..##..##.#.##....#.##.####.#..#.##.##.#...##.##.####.......#.###...#.###.##.....#.#..##.#.##...###.##...#####.#..#
#.#.........##.###.#.#..##..##.###.##.#...###..........#......##.#.#.###.#####.##.###.##..######.#.####.##.#..##......#..##....##.#.##.##..###.#..#.##...##.#.#.....#.#..#.#####..#....#...###.##.#.#...##.##.#.#...#.##....#.#.#.#...##.##.####.#.##.##.###...##.######..##...###...#..##....##.#.#####.#.#..####.##.#####...##.#....####.##.#.##.#####.#.####.#.#..##.##.##.##.#####.#..#.###.###.##.....#.##..##.###.#.###...###.##..###.#..#.##.#.....####.###.##.###.##.....###..#####..##.###.##.#...######.#.#.##.#.#..##..#..#.#..#.##...#..##..##.###..#.#.....##.##.#.##...##......#.#.##.#.##....##...#.#......#####.##.##...###.#.#####...###.##.#.##..#.#.##...##.#.#....###...#.##...#..#.###.###....###.#..####.#..#.#....##...##..#.#.###.....#.######.#...#.#.###.#.#..####.########...#..###.#.##.######....##
#.#########..........##..#######.#.#..###.#.#######.##.####.#..#####..##...###.....#...##...##.#.###.##.#############.#.######.##.#.....#.##.#...##..#####......#####.##.#.#.#.##.####...#......#######.#...#.#.#.###.#####.........#.#..#...#...#.#.........#.#..#....##.#..#...###.######.####.#.#..####.#.##.#..#....###.########.##.##.##.#..#.##.#######.....#.###.....####.##....##.#.#...#....#####.#..##.##..#......#######.###..##.##...##.#####.##.......#...#...#####..###..##.#.##..#.#.##.###.#.##.#.#......#.##..##.#.##.##....#.#...##..##...###...####.###.......#.######.##......#.#..###.##..###.######.#..####..##.###...#.#.#.##.##........###.#.#..#.######.#.##.#####.#..###.#.##..##..#####.#.....#####.#.##.####.####.##.##.#.....#####.#.########......#..#.#.###.###.#.##.###.#.##......#.#.#..####.##
#.##....######.#.##.#######.##...########.#.##.###..#.......#####.###.####.....###...#..#.####...##..##.#..##.#.####..#.##.#.#..#.###.#...#..###....##...##.#.#.#.....##.#.........###.#.###.#.######.#.###.....####........#.###.##########...#.....#.#.##.##########....######......#####.#.#....#.##.#.....#.##.#.#.##....##.##...##.##.#####...##...#.#.#####.....##.##..##..#####....#.#.######.#####.#.##...##.####.#..##.......#.##...##.##.........##.##.#.###.###..#.###...##..#.#..#.##.#.##.##..#.#..#.######.#.###..#.#.##.#####.#####.#..#####.#.#.######.#.###.#.#.#..##.##..####.#...#.##.#..##..#..##.#.....##.###..#...##.##.........########..##.#...##..##.#....####.##....##.....##.####.#.##....###.#.......##..##....#..#.......##.####.#.#.....#..#.####...##...#.#..##...##..##...##.######.#.#.##.##..#
#..#.##........#..#.#.##.#...###.##.###.#..........####.#.#.#..#......#.#..#.####..#.##....#.##.##..#####.##..#....##........##.#.#######.##.######.###.###.#.#######......######.##.###.#...#.##.#.#....##.#.#..#...#.###.####...##.##.#.######.#.###.######.#.#......##.#..####.##.##.##..#.##.#....#.###.#...##...#######.#...###.#...#..##.###..##.##....#..#####.####..####..#.#..##.#.####..............###.#...#.####.#####.##.#.##.###...##.#####.######.#.##......##..####.###...#.##.##...##.###.#.##.#.##.......#.##.#.#.##.#.#...##....##.##.##.#....##..#.#.#.#####.#.##...#.###...#.#....#.##....##.###.###.###...###.#.####..#########.#.#.#....##....#####..#.####..##..###.#..#####.....##..#..####.#.#######.#..##..####.##...#.#.####.##...#.#####.#.######..#..##.##.#.###.#####..###....##.#.#.#.#..#.##.##
##.#####.##.#.##.##.#.#....#..............##.########...#.####.######...######..##.###..##.#.#...#.##..##..##.####....##.###....#.#..##...#..#..#.#.#....#..#.##..#.########..........######.#.#......##....#.##...#.#.##..#.###.##..##....###############.#....###.##.#....##.####..#...##...#######.....####.#####..#.#....##.##.#.##.##.###.#.#.##...####.##.###.#..##..######.#.#.##....##.####.#.######.##.#.###........#.#.#.##......#.###..###.##....##...####.##.#....##.#...####.#....###.###.#.#.#.##.#.########.#.#..#....#.#.###.#####.#..##.##.####..##...#....##...#.###.####.##########.#.##.##.##.##...##.#.##.##.....#.#..##.#.#.##......###.####.########.#.##...##..##.####..#.#..##.####...##.##....##..#####.###.#..#....#.#.#..#.######.#.###......##..##.####..##.......##.##.##.#.####..#.#.#.#.##.##..#
#..##.#...#####...###...######.###.#.##.#######...##..#.###.....###.###.#.#.###..#.#######.....#....##..##.....#####.##########...##.####.##.##.......##...######.#.############.##.#.#.##.###.##.#.####.####.#..#.#.#.##.##.....##.######.#...##.#...##.#.###.##.#########.#....###.#.######..##.#.##.##.##....#.###...####.#..#..#.#..##..#....#.#..#...........#.##..##.####.#.#.#######.##..#######.##...##.#.##..#.#.##.#...###..#.##.#.##..###..###.####.###..####.##.#....###.#......####.#.##..#.#.#.##.#..#######.#.##.###.##...##....#.....###..#...##.#####...#######....#...##....####.##........#.##..##.###......####.###.##.##......######..#.......###.##...#..###.###.##...###...##..###..###.......#####.##.##...##.##.###.######.##..##..#.#.#.###.##..##.#....###.##.####.###.##.##...#..##.#.#......#..#.##
##.##...####.###.###..####.......#.#.#..#...#.##.##..##########.............#.##.###.###...#####.#####.#######.........##.....##.###.#.#..#..####.#.#####.###..............#.....####.......#########....#######.#.#############.##..#.#.#.###.#..###.##..........###.#.#.#.###.##.....#..##..##....####..#####.#..##.####...##.#.##.##..##.####.#.##########.#.#...##.##...##..#...###.#...##.##.##.#.....#.......#########.###.########..#..##...##...#.##.######..#.###..###.##.#.##.###.#.##...###.#.#.#....#.##............##..####....##.#####...##...#.#..#.##..###..##.#.##...#####.#...#.....##.#.#####..##....####.###.#...##.#...#####.##.##.##.#####.###.#.####...##....#.....###.###..#.####.##########.#.#.......##.##...#..##.####...##.##..##.#.#..####..##....##.#....#....###.#....##.###.###...##.#.###.##..#
#...#####.#...####...##....###.############.......####.##.#.##..####.#.####......##......#.#.....##.#..#.#.###.#.#.######.#.#..#.##....##...##.#..#####.#.#.#.#.##.#.#.#.#.####.##....####.##.##...#####.#.......###....##.#........##......##.#.##...####.#.#.##................#####...##..##..##.#.#..##.......###....###....#..#.#..###.##.#.#.#..###.....#####.##..###..##...###.#.###.##.##....#####.#.##.#.####.#.....#.#.#.#.#..##.##.##.######.#.#...##.###...######...##.#..####..#..###.#.#...#.####.#..#####.######..##..#.####.#..##....#####.#####.#..##...##.#..######.##..#.###.##.##.#..###..##.##..####..#..##.##.###.###..##.#.##..#.##.####...##.#...####.#####.#.#####.....##...#..#.##.#.........#######.##.####...##...#.######..##.##.#...##.#..######.#####.#.#.##..##...#####..##...##.###.####...##.#
###.##.##.#.#...############...#..#.#.#.....#####.###..........###...###########....##.#.#######.#..##.#.#.#.##########...####....##.#....###..##.###.#.....########.#.#.#..#####..##.####.#...###.......##.#.##...####....#######.#######.##.....###.#.#######################.##.#.##.####.######.#.#.#######.###...####.####.#.##...##.#.#....#.#.##.##.##.##.....##.#...##..#..##.......##.#####..###########.##...#####.....#.#.#.##..##.#...##..#.#.#.###...####.#.#.####.##.##..#.##...##.#.#.###.#.###..#.##.#.###......####.#.#..###.######.#.##....##....####.##..##.##.###..##.#####.########..##.##...##.#.###.#.##..#....#..##.##.....##...#..#..###.##...###.##..##...#..##.###.#####.##.##.#..########.##.#...#.##..#.##.##..###..###.#.##...#.###.#..##.##.#.#...#.###.#.###..###..##...##..###..#.#..#.###....#
#.#.##.#..#####..##.#......######...#.####.####...#.############...###........###.#.#######......#.##..........##.##..#######..##.#######.#.#.#####.#.#######.....#########.......#####....##.#####.#.##.#..###..###..####.##.##.#..##.##.....##.##.#....#####....####................#.##.#..#.##..#....##......####..##..##......###..#.#.####......#.############.##.##.##..############..#.#.#.##.#...#.#..#..####.#.#.#.###........##..#.###..##.#.......###..................#..##....####.#....#..#.#.#.##.#......######.#.##...#.###..#.##.....###.######.##.#..##.##...#.#...###..##.....#..#...##...###......#.#....##.##.###.##...####.#####.##.##.###.##.#####..##..###.#.##..##..#.#.#.......##..........##.###.#.#..##.##..##.##..##.#....###...##....###.#....##.##.##.....#####.#.##..#####.#.#.##...##.##..####
#.#......###.###..#.#####.##......#...#..###....#...##..#.....####...##.##.##.....###.......##.#.#.#####.##.####...##.##.##.#####.#.#.##....#.##.#..#.###...#####.#.#.#.#####.#.#.########.##.##..###.#######...##.#.##.......#....##...####.###..#...####.#...##....##.####.##.##.##......##....##.###.#######.##.##.##..##..#.##..##.##.....#######...#.##.#####....#.#...##...#.##..##.##.......#..###.#.##.#.##........###########.####.#..##.###.##.######.##.#.##.#.########.#.######.#.#..####.##.#.#.#.##.####.###..#...#....###.#.##....#####..##.##.##..##.##.....###.#.###.##..#######.##.#.#....###...###.##.##.###...#.#...####.#.#...##.#....##.#.#.##..##.##..#.##.#.#....####.#.#...###.####.###.####.#..##....##.##..##.##.##.##....####.###..##.#..#..##.#.##....###.#.##.##.......##.#........##.##..##.#####
#.######.##..#.#.##.##..#.#####.#####.##..#########.###.####.##.##.######..#..#.#####.#.#.#.##.#....#.#..#####...#..#..#.##..#.........####.#..#.##.#.#.##.##.#.#.#.#.#..#....#.#..##.##...##.##.###...##.#####.#..#.####.###.####.##.###.####.##.#.###.#..#########.####....#############....####.......##.##..##.....#.###.#####.###..#####.#.#.#.###.#.#...##.####.#.###..#.###..##.......#####.##.##..........###.#.##..#..........##.#.##.##.#.#.#..##..##.#########.#...........#.###.....##.#.....#.#.#.##.#.#..#.##.###...####...#.##.####.#.##.#..##.#..###.##.###.#...#.###..##..##.##..##.####.#######.#...##.##..####.#...###.#..#...#.##.####.##.#.#..##.#...##........#.#####...#...########.#######....##.#####..#.###.##..#..#..##.###.#..##..######.##.####.#..#.##...####..####.#####.#####.####.....###.....#
#..#.#.#.###.#.#..#.###.....#####........##..#.#.#.................#......#####.##....#.###..#.####.....##.#.######.##.#..##...######.###.#.#.##.#....#.#..##.#.#.#.#.##.###.##.####..####.....#.#.#####....#.####...#.####.#.##.#.##..#...##.....#.##....##.##........#######.##.#........##.##...####.##..###..#####.....#.##..#.....##.##........#...#.###.#...##..#..###.#.##..###########...........#.######..########...########..........#.#.#.##..#.##...###..###############.#.#.####.##..#.#.#.#.....##.#.##........###...####.......##.........###.##.##..##.#.#####.#.#...###.###.#..##..##...#.#.#.#####.#..##.##.#..#.###.#.##.#####.#..#.#..#....#.##..#.#####.#####....##.###.#.#####..#.#..#..#####.##....####........##.#.##.###..##.#.####.#.##......#.#....#######..#.##..###...#.#.###...###..######..#####
##.#......#..#.##.#.#.####.##...####.#.#..##.#.#.#########.##.##.#.##.#.#.#.....##.#.####...#####...#.#..#.#.##......#.#.#########..........#.##.####.#.#.##..................####.##.#.###.##.....##..##.#...##.###.#..##.........###.###.######....##.###...#######.##.###......#####.#.##...###.###...##.#.#.#######.#.######.#.#####...##.#.###.###...#...###.###.##...#.#.##.###..####.##.###.#.#.#####....##..####.##.#.####.####.#####.#.....#.###....##.##.##.#..#...##.#.#.#.#.#..###..##.#####.###.####....###.#.##...#.###.######.#####.####.#......#.##.##..#..##...#.##.##...#.#.##..##.####...#.#.##..#.##.##....##....#..#.##....#..##...##...##....#.##.##.##########.##..#.....###.##.#.##.#.##.#.#.##.####....####.#..#.#..#...##..#.#.#.#..#.####.#.##.###.##..#.#..##..#.##...###.#.#.#.#.....####..##.###.#
#..####.#...##..#.....###...#.###.#######..................##..#############.##..#.######.#..##...######...#..######.#.#..##.###.##.#.#.###.#.....##......####.#.###.#.#.#.#.##.......#.#.########..##.####.#..........##..#######.#...###.....#####......###.#..#.....#.#.###.##....#..#####.######.###........##......###.##...#.#...##.###.###.....###.###.#.#......###.#...##...##.#.....#.#...#.####.#####....##.#..#..###.........##....##.##.#.#.##.#.#...#.##.##.###.#........#.#.##.#.##...#.#...##..#.####..####..###.....#.#.#..#...#.########.##.###.#...##.#.#####.#.#...###...#.#..##...####.##.#..##.#.##..####.#..####.##..####.##....###..#.#####.#.##.....##.....##..##.#####..........##.#.##......#.#.#############...##...###..##.#...##...#.####.##..##..#.##.##.##.##..##.####...#.###.#.#....##.##.#.#.#
##.#.######..##...###.#...###.##...##.#.#####.##.##.####.#.#########.#.#.#...#..#####.#.####.####.##.#...#.#.##.####.#.##.##.#.#..###.###.....##.##..##.#...####..###################.#.#.##.#.....##..#.###########.#######.....#.###.#.#####..##...######.#.##.#####.#.......##.##...##.....##.##......######.###.#.#..##.##.#...#.####...####..#.#.........#.#####.##.#.###.###.##..##.#.##.###.#.#.......###.#..#.##.#####..#.###.###..#.#####....#.#..#####.#..#.##.#.#.####.#.#.....##.#..###.#.##.##..##....#.##.###.######.##...##.#.###.##.......#..#...##.##..#.#..##.#.#.#...###.#.##.##.###.#.......##.....##...##.##.#.##..##.#.#.....##...######.#.....##.##########....##..#.#...###########...#######.#.#..##......#....#....###.##.##.#.######.....#..###.##.##.#..##....##.##.....###.#.###.#########.##.#.#.#
##.#.#.##...#####.#######..#...###.#....#.....##############.....#.#.#.....######.##....###..#..####.#####...##........##.##.#.#.###..#...#.#.#..##.#######....####.#.#.#.#.#.#.##.#....#.#....#.#..##.#.#.##.##.#...#.##..#####.#.#.#.#.#.#.##..###...###.......#.#.#.###.#.#########..#####.....######.##.......######....##.###.#..##..###..##.#.##.##.###.#.#...#.#....###......##.####.##.#############...####......##..#.##.#############.###.###.##..#.#..##.#.#...........####.##....#.##.....##.#..######...##..####.#.#...#.#....#.#...###########.#.###.....##.##.##...####.##.#.#.#..##.#.#.###.###.#####.###.#.........#..##......##.####.##.##.....###.##..#.##.#######..##...###.#.######..###..#.#.#......###.####.#########.....##..#.#...##...###.##.#.#..#.#..##.##.####...##.####...#.#.#.###...##...#.#...#
#....#.####..##.#.#.##..##...###.#.####.#######.#.###..##.######.....#####.##.##...####.#.#####.........####..########.....#.#.#.##..###########..####.#.####.###.......#...#.#....####...####.####.##.#.#....#....#.#.#..###..........#.#.#.##.##...###.#.#.###.#.#.#.##..#.#..###.#####.#######.#.##.########.####..###.########.##..##...##..########..##....###...#.####.######.##..##..####.##.##..##...#.#..######.###....#.#......#####...##.#.#.##.##.##.#..#.##############.#######....###.#.##.##.##.#####.##.##.#..#.##.##.####.....###...............#####.##.#..###.###....#...#.##.##.#.#.#######..#.##.#.#####.####.##.#####.#.##..##....#.#########.....##.##.........#####.##.........##.#.##.#.....####.#.#####....###.##..#######.#...########....#.#.##.#...##...#.#..###..#....##.##...#...###..###...#.###
####.#.#.#..##..#.#.###..#.#.....#.#.#...#.###..#.#...##....######.#...#.###...##.####.....##.#########.#.###..#.#.##..#.#........####.###..#####..#.#........#.#######.###.#.####.##.##.###...#...........##...#.##.....##.########.#..........####.##..######........##.#####......#....#.#.#.....##..##.#.#..#.#..##.#.##.#........###.###..######.##.######..####.#.#.##..##.##.###..##..##..##..##..##.##.##........#.#.##.########...#.###.#......##.##..#.##...##...##...##...##.##.####.#.###.##.#...#.#..##.##..#.##...#...###.#..#.##########.#.####.###.#........##.#...####.###...#..##...#.#.##....##.#....##..####......#.##..####.####.#....##.##..#####.#...##.####.#..##....##.########..#.##.###.####.#...###.####.....##.##.#.#.#.#.###.##.#...##.....##.#.#####.##.#.##...##.####...###.#.###.#.##.#.###.#.#
#........##..##.#.....##.#####.#.....###.#.#.##.#.###..#.##.#..#######.#..####..#..#.####.##....#####.#.....##........##.##.###.#####....#.##.#.#.##.######.#.#.#...###..#.....##.....#....##.############.######.###.##....##.......###.##.#.#..#.#..##..#.#...#####.#######.######.####.....#####.###....#.##.#.#.##....#..##.###.#.##..####.##.#...##.#.#.###...........##.#..##.#.#.####..#.##..##..#####...###.####.#.#######.#...###.#.#.#.#####.##..###.#.#..######..##.##..###..##.........#..##.#.###.##.##..##.#..###.###.##..#.##..##.##.#######.##.......##.###.##.#.#..#....####.#.#####.#.#..#.##..#...####..###.#.#.####..#####.####.####.###...##.#.......#.##########..####.##......##..##.##..#####.#.#.###.#..##..###.#..##.#...#.....#....###..##.##.##...###...#..#..###......###.###..#.##..#..#.#.##....#
###.#.##....##..###.###...#..#######.#................#####.#.##.##......##..##.##.#.##....##.#.........###....#.#.#.##########.....####.#..#...#.##.##.#####...###...##.#####.######.###.###.#..............###..#....####..#####.###...##.####.....###.##...#.#......#.#.#..##......#####.#.#.#.#..#####......#.#.#####.#.#########..#.##.#...#.###..###....###.######.#.##.##..#.#.#..##..##.###..##.##.####.#.###.......##.##....#...#.........#.#..##..##.#.##...##.#.##..#..##.##..###.#.#.#...##..#.##..##.##.###.#.##.......###...######.##...##.#.....###.#.##.###.##.####.##.#..##..#..##.#.....######.#.###..##.#.#.###..#.#.####...##...##.#.#.###.##.#####.#####.##...#.##..##.....#.#####.##..#..##.#.......#.#.##.#######...##....###.#####.####.##.####..##.#.#.###...##.###..###.##.#...##.#..##.#.##...##.####
#...#.###.#..#.##.#...###.#.##..#.#....#.#.#.#######.##.#.#.#.#..#######.##.##...#.#..####..####.###.#.#########.#.#..##...#....#.###....##.###.#..#.#.....####.#.###..#.##.....#..##.#.#...#.###########.####...###.####...##.#######.#.##.#....#.#..#..####.#.##.##.##...#.##..##.#...#####.......##.###.####...#..##.#....#.#..##..##..#.###.#.#.##..#####.....##..####.##..##.#.#.##.###..#.#.##....##..###...########.##...########...#######...##.###......###.##....###.##.##..##...#.#######..##.#.##.##..##.#.#.#..###.###...###...##....##.##..####.##...####.#.......##...###.####.#.###.##.##..##.##....#..##....#.##..##.#..#.##.##..###......#.#....#.##....##...###.#.##.######.######....##.##.##.#######.#.#.##..###....#..#.####.#..##.#..##..####.###.#..###..###.##..#...#######.#.###....##..#....#.......#
#.#.###.#.##....#.#.###......##.#.############.......##.#.....##..###........###.....##..##...########.#.....###.####..###.####.###.####........#.##.####.##......####.#..#####.#.##..#.##.#####..##......##.###.#.#####..#.......#..#########.######.#.##.##.#######.####.#..#.#######.#.....#.#.#..#...########.#.##..#.####.##.###.#..##.##..#.#.#..##.....#.#..##.#.##.#..##....#.##..#..##...###.#....##.##.##.##.....#..#.##.....#############......#.#.#.##...#####..##....#..##..########.###..#.#.#...##.#......##.#######.#.##..#######.##..##.##.#####.###.########.#####..#...##..#.##..####..###.####.##.######....##..#...##.##..#.##.######.#.####.#.###.######.##.......##.......#..###.###.##.#..##....#.#.#.###...###.###......#.#.##....##..##.#....#.##..##.##....##.###..#.###........##.###.#.#######.####
#######.#######.#.#.######.#..#...#.#.#..##.#..#####.#....#.#..##.#.########.#.####.####.#..###.#..#########...####.#####........##.#.#..######...##.#.#..###.##.##.#....##.#.#.#.###...##..##.##.##.#.#####.....#..##.####.#.#.#.##.##.##..#####.##.....#.######.......##.#.####.#.....############.#.#...............##..###.#...##.#.###.###.....##.##############........######...###.#.####.##.#####.##..#.....##.#.#...########.##.#.........####.#######..###...##..####.#...####....##.#....##.#.#.#.###..###.#.##..........#..##...##.#..##.##..##.##.#####...##..###.#.#.##...#####.#.##.##.#..##.#.#..#.##...##.###.##..##.####.###....#.##...#...##.#.#.#.#...##....#######..######.##.##.#..#..##.##.#####........#..###.###.###.####.#....######..#.####.#.##.###.####.###.#...##.#.##.##.#######.#....##.###.##.#
##.##.............#...##.####.#.#.......##....###.##.####.#.##.........#.###...##.#.####.##.#.#.##.#.###.....#..##...##.########........##......#......##.....#..##.##.#..........#.###..#.##......########..#.####.........#####..........##.#.#.####.###.#.#..#######.##.#..##..#####.#.#.####.#.#.#############.###..#.##.#...###....#.#...#####.#..#..##...#......#.####..#.##..#.......##...##.##.....##.#####.########.#.####.#.#..######.##.#.##....#.#..##.##.##..###.#####....###.##..####.##.#.#.#.####.#.#.##########.##.##....###..##.##.###..#.#..#.#.###..##.#...#....###.#.#.#...##....##.#..#.##.#.##.###...#...##..#.##.#.#.####.#.####...###....#.....######.##.#.#.##.##......#.##.##.#.##..##.#.####.####.##.###...#......#.##.#.#.###.#.##.#.##.....##.##....##.#...#.###..#.#...#.##.#.##.#.##....#.###..#
#...#############...###....##.#########.#######...........#..##.#.##.#.....##.##.....##..##.#.#.##.#.#.########..###.#......###########.###########.#######.####.....############...####.#..##.#.#.##.#.....#####...#.##.#####.#####.#.###.##......#.#.##....#.##...#.#.##.#.##..##..#....#.#.#.......##...###...######.#..#.#.#..#####.#.###..##.#.##.#.#####.###.#.########....#########.####.###..####.##...##.#.#.#.##...#..##......###.#.####...##.####.##.#.....#..###..##..#.####...#..##.............#.#..#...##.#.....####.#..##..##.##..##.#...##.#.##.....##.##.###.###.####.#.....######.###.##.#.##.#.##...###.###..#.##..#.#.#..........####.#.####.#####.#..##..##.#.......###.####.#..##.#.##.##..#.#..####....#.#.###.######...##.#.###.....##.#..#####.##.##.#####.###.#...##.#.#.######.#.##.#.####.##..#..##
###...###...###.#.###.#.####...#.###....#.#.##..#.##.##.###.##..#.######.#.......##.####.#..............##.##.#.##.#.######....#...#.####.##.###.#..####....##.#####.##.........##.##.##.#.#####.#....###.#.##..###.######.#.....#######.#.###.#.#......####.#.#..#.....##.#.###.###.##.#...#.##.#.##..###.#.###.##.......##.####..###..#.....##..#..#...##....#.#####.#......##..###.#......##.#.##.#.....###.##.#.....####.##..######.#.....#....#......##.##.#####.##...##..##.#.#.####.#.###.#.##.#.###.##.##.#.###..###.####.########.#...##.##.#.####.#.#####.##..............#...#####..#.##..#...#....##.#.##.###.#.#.##...##.##.#.#########.##.#....#.##.##.#..#.####.##.##.#.##.#.....##.##......##.###.#.#.###...##.#.#.#.#..#..##.####....##.######...##.....#..##...#.#.#.#...#.##...#.##.#.....#.......###..##.###
#.#.###.###.#.#....##...#.#..#...#.####........####################.#.#####.#.##.#..##...##############..........#.#.##.######.###.....#.....#.#.##....##.###....##...######.##.....#.#.....#.#######.#########.######.##....#.#....#.#.....##########.##......########......#.#..#...#####.#.########.##.........#######.##..#.#.##.##.##.##..##.##.###..####...##.#..###.#.###.##.....#.####....##.#####.....#..#####.#....##.###.##..#####.########.##.#.....##.##.####.###.........##......#.##########.##.#..#..##.###..##.#.##.##.#....#.#..##.#.##.#....###...####.#########.###.##....##..##.###.####.#..#.##.##......##.###.....#..##.##..#.##.##.###.#..##.##.#..##...#..#####..##.#####..######.....##.#.#.#.##.##......#.##.##.#...#.#.#####.#.##...######.#...##..###.#.....#.#.##.#.#....#####...#########.##....#
#....##.#.#...####.###.##.######...###..########.#.##.##..###..#.#..........#.#####....#.....###.##...####.#.#.#...#.##....#.#.#.#####.##.##.#...###.###..######.####...#..#####.##...#.###...#.##.##.#...##.#.........##########.#.....###...#.#.......#####.##.#....##.###.#.##.#.#######....##.#....##########.#....#...##.#.#.##.#...#####.##.##..##.##..#.#..#...##.#####...##.#####.##.#.####...##.#####.##.##.#..####.#...#.....###.##.##.###....#######.##......##...##.#.###.#####.####.##.#..........##.#.###...##....#.##......##.#.#.###....#.###.##.###.######.####....##..####.##..##..#...##.....##.....######.##.#.#.#####.###..##.#..#.##.##..##..#....#.#####...##..###.##.#.#.##.##...###.###........######.#####.#..#....###.#.#.#.#....###..#.#.#####....##.#.###.##########.#.#####..###.##.#.##...#..####
##.#..#.#.###.......##.##..###...###.####.###......#..###.#.#.##...#.##.###.###.#...##.##.##.....####...##.###.###....####.....#.###...####..###.......##.#.#.....#.###.##.###....###.####..###.#.....##.##..#########.......##.#############.#.#.####.##.##..##.###.######..#.#.....##.#.###.##..####...###....#.####...###..#.#.##...#.#...#.....##.....##.####.###.#...######..######...#.#.##.##.##....#.#.##.#..##.#.#..###.###.#...........#.####..#.#.##..######.##.###..#.##...##.#.#.####..###.##.#.#.#..#...##.######...############.#...##.###..#...#.##..#...#..#..####..##..#.#..#.####.##.#######..##.#####.##..##.#.#...##..#.##.#..##.#.#...##.###.####.#.##.#..#.###..##.#....#.#..###.##....#########...#.##.#.##..##...##..#..#.....##.#.#.#.##.#...######.##.#..##.######.##....#...##.#.#.##.#..##.##.#####
#..##...#...#######.##..#.##.#.#.##...........####.##..........##############...###..########.##..#####.######.######.##.#####.#.#.###.#.#..##.###.##.#####.#####.#......#.#.########.##...##...#.###.#...##...........####.###............##.#.###....##.###..#.#.#.##.#.##...####.##....##...##.######.#.####.#.#....#...##.....####.#####.##.##.#####.###.##.........#..#.####.##...###.#...##.##.#####........#.##..#.##..##..####.#.#######...#####.#.#.##.###..........#.######.##....#..##..###########.##.#.###...##..###.#.###.##.....#.####.#.##.##.##.###.###.##...##.#..####.#.##.#.#.#......#.#....##...###..###.##.#...#####.#....##........###......##.....##.##.###.#.##..##.###.##..#...####..##.##.####.#.#..#..##.########.#.##.######.###.#.##.##.##.###...#.#.##....#.#...#.####.####.#.#.#..#.##..##.#...#
#######.#.#..#.#.##..##....#.###.###.###.#######......##.####.##.########..####.########.......##........###.###.#..#.##.#.#........##.#.##.##.#####....##....###.######.#.#.#....#.#..###....#####.#.##.####.#.#.#.#####...#.##.##.#.##.#..#...######..#.#.##.#.#.#.##.#..##.##.#...####..#.###.........#..........##.###.#####.##.##..##...#####.#.#....#...###.##.##.##......#.####.....###.##.##.#.##..#.#.##....##.#.###..#.##.######.#.....#............#...#######.#.#######.#..####...##..###.##....##.##...#.###..##..##.#.#.#.###.##...##.#.#.##.##.#..#.#.#.#.####.##...###.#....#.....###.#.##.####.###.##.##.#.#.#..#.###..#..#.##.##.###.##...###.##.###.####......##.#..##.#..#.#.###.##.##..#.##......#.#.#.##...##...##.##......#.##.##...##...##..#.##.#.###...#.###.###.##.##.#.##.###..#.#.#.##.##.##....###
####....####...#.#..######.#.##..#.#######.......####.#..#.......#.#.##.##.#.#.....##....##.####..##.#.#......#..##........##.####.##....##.#....######..#.#.##.#.#..........####.#.##...##.###.##....#..#.#..###.#####...#....####.#..####.###.#.#.###.#.#.#..#.#.#.#..#.##.....##.##.###.#..####.#####.#####.#.##.##.#...#.#.#.#..##.###.#.#.##..#.####.#.###.#############.#......#####.##..##..#.#.###.#########....#..###...##.#.#.#....#.####.#.#.#####.#.###.#...#.###.#.#.....##..##.####.##...#.##.##..###.....##..#.###.#.#.....######.#..#.#.#..#..#.##...#....#....###.#...####.###.####..####...#..#.#.#.....#.#.##.#.#.##.##.####..#######..###.#.#..#....#.#####.##..##....##...#..##..#..##....#.##.#.......###.##..#..#..######....#..###....#.##.##....#..####.#..##.##..##.#....#....##.#......#.#.....####.#
#..####.##.###.....##.##.#.#.##.##.##......##.####....##.#######...............###..###.#################.###.##....#.####..###.##....##..#.#.####..#.##.###.##.#.##.#.#####..##.......###...##..####.##...#########..#######.##....#####.#.###.#.#.#.#.#.#.##.........##..###.#....##.#.....##.######.#..########..#..###.........##....###....##...##..........#.##.##....#.##.###.##.......####.#.#.#.####...#######...##.###......#.###.#####.########......#.#.###...###...#####.###.....##...###.####.#..##...#######...##....#####.##.....#.##.#.##.##.#..###.####.##.#.#.#.###.#.##..#..###..##..###...##.#.##.#.##.#.##.#....#.##.##.##.##..####.#.#.####.####.#.#..##.##.######.###.##.####.#.##..#.########.####.#....#####.##.#..###.####.##.##.######.#####.#.##..#.##.##.#..##....####.#####.####.###...#.#....#.#
##.##..........#.#.....#.#...##.##..############...####..##......#.#.#.#.#.#.#.#...##.####.#...###..#.#.#####.#############.##.....#.####.....##.##.#.#..##...#.#.########.#.##..###.#...###..##.#.##.#..###.##.##.##.#..##...#####..##.....#.#.............####.#####.###..#####.#....#####.#..#.##.....##...#.######.####.####.###..#########..##.############...#...##.##########.#..#####.##...#......#.###....##.##.###.#.######.....###.##..#####....####.#.#.#.##.##.###.##......#####.##.#..#..##.....#####.##.#.#..#######...#....##.##....#.#.#..##...##....##..####.....##..#.###...##.##..##.#####.##.#.####.##...##.#.####....##.#...#.##..#...#.##...##...#.#.##..##.#.#......#.##..##....##.####.#..#.####...#.##..##........##.#.#.##.##.##.#.##.#.#..##.#..##...##..#.#.##..##..##...#.#..##.......##########.#
##.#####.####.#####.##.#.##.##..#..###..#.##.#.###.##########.##.#.#######.#######.##.##.#.###.#.##.....#.................#.####.######.####.##...#.#.##..###......##.#.........##...###.####..#.#.#..##.##..##.##.##.#.#####...###########.....#.#.#######..#####.....#.#.##.#.####.#..#....##.#..####.#####....###.###..####.#..###.##.#.#.##.##..##.#..###.####.###.#...#.##.##.#.####......###.#####.##.#.####..#..#.#.#........###.#####..#.##.#.#######.#...#.#.##.##.##..#####.###......#.##...#######..##.#..#...##.#.##..###.####.#######.##.#.##.##.#######.##.##.#..###.###....####..#..##..#.#.#.#....#.#.#..####.##.#.#..##.###..##.##..##.###.#..###..###.#.#.###..#.#.###.##....##..##.#......##.##...##.##.######..######.####...#..#....##...##.#.##.##...#####.###.#......#########...#.##..########.#.#.#.#.#
#...##.######.#.#...#..........##.##.##.#.##...#.#.#..#.##..#############..##.....................#####...###############...#.#####.#.#.##...####.#.#.###.#####.#.###.###.###.#..##.##......#.##.#.##.#...##..#.##.#....#.#...###..####.#.###########.......##.#...#.#...#......#######...##......##..#..#.#####...#..###.##...#.##....#.#.#.#...##..#.##........#.#.#.###.#.#.....#.#.######.##....##...##.#..####.##.#.#.########.....#.#.##.#.#....#.#.##....#.#...##.##..##.#.#.....######.######..##.#...###.#.##.####.#.#..##....#.#..##.#.#.##.#.#..#...#.##.#.......##.#.#.#.##.###....##.##..##.#...####.#.#.#.##..#........###.#.#.###.###.#....#.#.##.##.#.....#..###.#.#.#.#######....#####.#.#####.##.###......##....##......##.###.#.##.######.##..#.##..###..##....##.##.######..#.#...###.###.###.##.#.#.......#
###.##.###..###.###.##.#.###.###..##.......###.#.####....##..#.......#.#..##..###.#.#.##.#.######.#.##..#.##........#.#.###...#.#.#.#.#..###............#.#.#.#.#.#.....#######.###########....#.#..#.###..##....#.##.###...#.#.##.#.#....##..#..#.#..#####.##.###.###.#...####.#.#.#.##########.####.#.##.#.#.###.##.#...####.#..##.###...#.##.##..##....######.............#.#.#......#..#...####.####....#.##.#...#...#.#.##..##.###.....#....####.#.#..###.##.###.##.##.##....##.##.##.##...##.##.##....#..#........##..#.#.######.#.#.##....#.#..#.##...###.#....##.##....#...#.##..#####.#..###..#.###.##.#...#....##...#.######.#...#.##...##.#.##.#.#.##.#..#####...##.....#.#..##.#.####...##..###..#..##.#.##.#.#..####..######.#..###.#.....#####.###.#.##.##.#.######..#.#....##.#.##.###..##................#.#.###
##..##.#.#.###...#######.##....##..#.#####..#.....#.###.####.#######.....###.##...######.#####.#.......##.#..#.##.#.....#.###.#.....#.##.#.##.##.##.#.#.....#.#.#######.##..#####.....##.#..##...##.#.#.#.####.#...#..#.#####.#.##...####..##.##.#.#####.......#.#.#...##.#####.#.#.#.#.....#......#....##.#...##..#..#.#..#.#.#.##...####.......##.###.######.#.#.##.#.####.##########.##.##.##.##.#.####.##.##.###.#.#...#.###.####.###.#...####.#....#.##....####..##.#...##.#######.#..####.##.#...#######.##.#######..##.#.##..#....#..####.#...##..###..##.#################.#....##.#.#...##.#.##.#...##.###...##....###.###..#.#.###..###....###.......#.#.##.....########...##.##.#.#.##.#.###..###.##.......######.#.###..##.#..#.##.....#.#.#.##...##....#.##.....##.##.....####..#..#.#.##..##.###.#####.#.#######.#
#..##.......#..###.##.##.####.####.###..###.#####.#..#...#....##..########.########......###.....####.##..##.########.#.......#####.#..#...##############.#......##.#....##.#.###.###.#..##.##.#....#.#.#.#.######.##...###......###..#.##...............#.#.#.....#.#..###.....#.#...#####.######.####.##.###.###...#####.....#.#..###.####.##.##...#####.....##########.....#.#.#.###.#..#...#......#.##.##..#.#.#.#####...#.#.#.#..#######..#.#.####.#.#####..##..###.#.###...##.#.#...##.#..##.##.##..##.#.##..#..##..##.....##.####.#.###.#.###.##.#####.##..#.######..#.##...####..#.#...###..#..#.###.#..####.####.####..#.##.....####.##..#.#######.##...#.######...#.#....###.....#.#.#..###.##.#.#.#####.####............##..##.#..##.#.######....#..##.#....##.####.....##.##..##...##....##.#...##.##..###.####.##.#
##..#######...###..#...###.#....##..###.#.........##...#.####..##.#.###..#.##.#####.#.##.#...#.####...##.#######.#.######.###...##..##.###.#.#.##...##.#########..#.####.##.#.#.###.#.#.##..#####.#...#.#.#.#.#....##.###.####.#..###.#.###.##.#.###.###.######.###############.#.###..###..#...............#..#.###.#.#.####.##.#.##.#.#.#..#.....###.#.#.#.#..#.#.##....##.##.......#.##.###.##.###.......##.........#####.#.#.#.##.#.##.###.#.#.##.#...#.#.#.##..##.....#.##.###.....###..##.##..#..##.##.#..##.#.##..####.#####..#...#.##.....##.#..##.....##.#.#.##.##......#.####.##.###...#.##.##.##....##.#####.###..##....#.###.#.#..##.#####.#..######....#...##.##.##.#...##.##.....##..##.#..#.#..#.##.#.#####.#.##.##..##.#..#.#####...#.#####.#########.##..##.#.#.###...##.##.######.##..#.########..####.#..##.#
###....######.#.##.###.......######..##.###.#####.#..#.#.##.#.##........##.#..#...##############....#######.##...#.#.#.######.#..##.#....#.....###.##....#...#...##..###.#....#..#.......####.#.#.#.#.#.#.#...####....##..##.###.##.#.#..##.###############.#.#####.#..##...........##...##.###############.##....##.#.#..#.#.##.#..#.#.#.##.#####.##....######......######..######.#........#..#.#...#####..######.####.##........##...##.#.#.#.#.##.###.....#.###..###.###.#..#.#####.##..##...##...###.#....##..#..##..##...##.##.###....####.##....#####.#........##.###.#.###...........##.##.##.#.....##.#..#.##...###.##.##.####....##..#.#.#.#...##..######...###..##..####.#####..###.###.##.#.##.##...#.....##.##########.#..##....#.#..###..##....#.#.##.#..##..#.########.##..##..#.#....##.#.#.#....##..##....###.#
#.#.####..###.#.#...###.####..#.####.#..#####.#...######.#....#####.###.##.##.###..#.#.##....#####.##..#.....###.#.#.#...#..####..#.####.###.###.#..####.###.###..##.#...####.##.##.#.##..##..#.#####.#...##.###.####.##.##..###....#.#.##..#.................###...#.##..#####.#.#....#.#.........#.#.##....###.##..#.##..........##.#.#.#####.#...#.######..###.####.###..##.#..##########...##.##########.#..###.#.#..#########....#..#.#.#.#.#.##.##..#.#.......###..##..##...##.#...##..##.#####.#.#.####..##.#.##..#####..#.##.#.##.####...#####..##.##########.#...##################.......##.##.########...##.#...#.##..###..##.#..##.#...#.###..##.#.#..##.##.##.##.##..#.....####........#.#.##.####.##.####..##.##.#.#..##.####.##.#.###..#####.##.#.##.#.##..##.##.##..#.#..####...####.##.#...#.#####.###.####.#.#
#...#.###...#.#.###.#.###....##..#.#.##.#..#..###.###....###.##.#####....#....##..##....###.##.#.#####.#####.#.....#.###.##.#####....###.#.........##.#........##..#.###.........########.###.#..##.....#.#..#.#.##.#..#..##.#.####......####################.#.###.#.######....#.##.#.#...##.#.##......###.##....##....#.####.###.##......##.....#.#..#.#.##.#...##.#.#.##....#.###.####..###.####..........#.##...#.##.#.#.##.########...........##..######.#####.#.##..##..###..#.###..##.#..#.##..#.#.#..#.##..#.#..##.#.#.##.##.#.##.##.###..#.##.###..##....##..###.#.#.##.#.##.###.###.##.###..##...#.#....#....#.#....##..###..###.##....#.#.#...##......###.##.##.#...##...#####..#######.##.#.##..##.....#....##.......##.##.#.#..#........###.##.#....##....##.##....###.#...######.##..#.#..#.###..#.#....#.#.#..#.#
#.#.#.#.#.#...#..##.#..#..##..#.##.#....##.##.###...####.###.##.#.######.####.###..###.##.#.##.#..#.#..##.#..#####.#.##.......#.####.......#.#.#.#.#..######.#####...######.###.##.#.#.#........#####.######.#.#....##.#.##..#.##.####.#####.##.....###...............#.##.##.##########.#.##.#.#..#.##......####..####.####.....#####.##########.###.##.#.#..###.##...#.###.#............###...#######.####.#.####.#.##.#.#.##..##.##.#########.#..##.##..#...##.....##.####..###...####..#.##.#..#.##.#.##....##...#.###.#...##.#..#.#...#..###...##...##..####..##.###..........#..#.#..#####...##.##.###...#####.#.######.##.##.##..#..####.####.###..######.##........#.#..###.##.##.##.#.#.#.##.#.#..#######...#.#######.#.......#.##...########.#.#..#.######.#.##..####.#.#.#.###.##.#.###.....##...#.##.##.###.....##.#
###.#.#.#.###...##..##.#####.##..#.###.##..#..#.###..#.#.#...........###.##.#.#...###...#.#.##.##...##.##...##.##.....###.#.#........#####.#######.##.##.#...#.#...###..#...#............#.###.####.#.##.##..#.####.......##......###..#.#.#..#####.#...##.#####.####.........##.##.#.#..#.##.####.#.#######....#.##..#..#.####.###.....#..#.##.#..##.##.#.##.###..###...#.####.#.#######.#.##.##.##.#####......#.....##.#...##.##..........#..####..#..##.######.#.#..#..##..##.##.##.###...#..##.#.##....###.#####.#...#.##.###...##.###.##..####.##.###..###...##..#.##########.##.#.#.##.#.#.###..#....#####..########..........###.##..##..#.#..#.#.##....#..#####.#.#####.#.#.##.##..#.#.....##.#...##.##.###.##.#.########.####.#..###...###..#.#.##....##..###.#..###...........#.#..#...#####.##.###.##.##.#.##.#.##..#
##......###.#.#..##.##.#.#...###...##...##.##.....##.....##.#####.####......#.###...###.#.#.##..###..#.####.#...#####.##..######.##.##.....#..##......##.###.#.###..###.##.##########.##.###.#..##........##.#.#.###.##.#....##.#...##.#.#.#.##.....##############.#..#.##.##.#.........########.#####.#..##.##....##...##.#.#....####.##.##.#..#.##..##.#.##...##.#.###...######.#...##..#....##.#...##...####.###.#......###..#######.###.##.##...##.###...##.######...###.###....##..####.##.#..#..####.#....##.#.#.###.#....###..#.##...#.##.#..##...##.#.###..##...#.#.............#.#..#.#.#.##...#.###....##.#.#..#########.##.#.##.####...##.#....####.##...###.######....#.##..##.#.###.#..#...####.#...##.####.#....#.######.##.#.#.###...##...###.#....##...##.#.#####.###.###.##.#.###..........#.##..#.#.#..###..##
#..##.#..#..####.##.#....###.#.##.#####..#.######....#.#..#.#.....#.#######.#.#####.........##.##.#.##.#.##.##.##......####..#...########.###..######.#..##..#..##.##...####.....#..######.....######.#####.......########.########.##.#.#.#.######.##.##.#.....#....##.##.##.##.#.#.#.###...#.#.###.....##..###.#....#..#.#.##.###.....#.#..##....##....#..###..#.#...###.#.#.##.###..##...##..#.#.########.....#..##.###.#.##.#.##.#####..#..##.###..#...###..##.#...#..#..#.####.##.##..#..#.##...##.##...##..#.....##..#.####...##.####......##.##.###....#.##.###.##.###########.#...##.....#..#.###.#.###.##..#.##.#....##.#.##.#..#.#.#..####.##.#..##...##.##.#...##.####...##.##..#...####.###.#.#..##.##...##..####....#................#..###.#.#.#########..#.#.#..#####..##..##.#...######.#####..#.##...#.###..###
########.##..##..#..####.###.#.##..#.###.#.#......#.#####.#######....###............######.##.....#.##..........##.##.##.###.#####.#.#....#...##.##.#.##.###.#.##...##.##.####.#...##...######..##......##..##.####.##.#.####.###...#....#.#.#.#.#..#.....###.#...##..###..#######.#.#.#.###.#.#.#.#####....##...#######..........#####.#.#.####.#######...##...##.###.##.......###.#.####.####.#.#...##..######.##.####...#.##.#.##..##.##.##.#..####.##.###..##..######...##.#........##.##...##.###..##.#####.#####..##......###.......######.##.##.#.##.#....#..#..#..##....##.#####.#######.#.##.#.###..#..###...##.##.#......##.##.#.#.#.##..#..####..##.##..##...###...#.###.##..##...###..#.##......##..####..##..###.##.#.####.####.#.####.##..........#.#..##...#...##.#.##..##......#.#..##.....##.##.##.###.#.##...#
###..#....##.###.##..##..#.#....##.#..##.#.#####.####.##...##.....##...#.#.#.##.#.###......######...###########.#####..#..##.##.#..#.##.#.#.#............#.#....###.##.##...#####.#####...#.###..####.#..#####.#.##.##....#.#.....#.####.#.......##...#.#..#..###.##.##...##.#.#...#.###.#............##.#######.##....###.#####.###....#.#...##.#.##....#..###..#.##..##.#.###.###...##.###........#####..##.....###.####.#.#..#.##.##..##.##.##.#.#..##.#.#.####..#..####.##.###.####..#..###.#..##..######.....###..##..#.##########.#####.##.#..##....######.##.##.#.######.#..#.#...#.#.###...##....###.##.....###..#..##.#.#.........#.#..##.##..####.#...##.####.#.###........#.#####.#.##....#.#.##..##.#.#..##..##.####.###..#####..##############.#.#.#.#.####.##.###..#..#.##..########.##..###.#...#..#.....#.##.###
#.##.###.###.#.#.###.###...#.####....##....##.####.#..##.#..#####..###.###############.#.#...##...###..##.##.#....#.##.#.##..##.##.#.#########.#########.#.#.####...##.##.###.##...##.#.#.....##..#.#.####.......##..####...###.#.#....#.#######....###.##...###..#..###.##....#########.#.#.########....####.########.....####..#.####...##.##.....#######..###....##....#.#.....###..#.##########...##..#######.##.......#.##...##.###.#..#.....#.##.##.#.#.#.###...##.......#.#.##.##.#.##...#.####.#.##.#####...##.##.######..#####..##....#.##..#.####............#..##.#..##.#.###.....#.###.##.####.#..##.##.#.##.#########.#######.#.#.##..###..##....###...##.....#########...##....#..##.###.#####.#....##..##.#..##.#...##..#..##..##...#.#.##.#.#####.#..#.#.#....##.##.#.##.##..##.#...##.######.##.##.#####.##...#
#........#...#.#.......###....#.###.###.##....#.#....######...###.##....#.#.#..#.#..########..###...#.##.....####........##.##...#.#.#.#.#..####.#...........#.####..#.##.##...###.#..#.####.####......########.##..##....##########.#......#.#########..##.##...###.#....####.#.#####.#.#######....###.##........##...###.#..##.#.#..###.#..####.###.#.#...##.####.###.#####.###.#.##.#.#.####...##.####.#.##.....#######....###.....##.##.##.##.#.##.#....#.#.#.###.######.#.#.#.#..#.....###...#.#....#........#.......#.#..##.....##.#####.#.###....#.############.##..#.##......#######.#..##....#......######.#.#....#.##.#####.#.........##.#.#.######.#.###.#####.##..##.###.#######.#.##..######....###.###.##..##......#####...####....###.#.##....#.##.#.##.....####..#..#..#....##..###.#.....##.....##.#.###..#.###
#.####.#.###.#.####.####.##.#...###...#######.#.####.##.#.###.#.#######...#.##.#.##.#..#####.##.#.###..###.#...#####.###.##..#.#.....#.#.#.##.#..######.##.#...#.###.#.##.##.###.....######...#.###.##...##.....#..######.###.##.##..#.#.##.....#.###.#######..#..##.##.###.#......#.#.#..#.#....##.###########.#####.#######.##.....##.#.#.##.#...##...##.##........#####..###.#.#...........###.##.##.#.#..#####.#.##....##..####.###........#....##.#.##.....#.#....##..###.#.####.#####...###.#.####.#############.##.#...#######....#.#.......####.#..#.#####.##...#.##.######.##.........####.###.######.##.#.#.#.####.##.#.##....#.####.##..#.#..##......##...##....#.##.........##........##.##.####..##..#...##..##.###..######.##.#.####.#.#.####.##..#....###.#..#.##.##.#.##.######.##....#####..#####....#.##.#...#
###.####.#.#.#.#.#..#.#...####.##.#.####.##......##..............##.###.#........##.#.##.#...#........##.####.##..##.#...##.#####.##...#.#.#..##.#.##.#.#..###.#.....#.##..#.#.#####...##.##.##..######.#######.#.###...#.#.#.#..##.########.##...#.#.##.#....##.##..####.....####.....##.#.#.#.##....##.###.....##.###........##.####......##.###..###.#...########..##...###......##.######..#...#.##.#.##.##....#.#..##.#..##......##.#.#.######.##.########.#.####.##.###..#..##..##.###.###....##....##.#..###.....###.###.....####.#.#####.#..#...#.##.#......###.#.##.#.##.#..#.#######.##....##.#.#.##.#....#...##...##......#.#####....##.#...######.#..##.#####.##.##.####.##########.####..#.#..##..##.#.####.#####.##..##.#...#.#.##.#.#...#.#...##.#.####.#.##...##.#..#.##..##.#..#..####.#.##...##..####.##...###
##...##........#.##.#.##.##....##.#.##.#.###.###.##.##########.###..#...##.#####...........#...#.#.##.#...#...###..#####.##..##.######.#.#.##.##...#..#.##.#...#####.#.###...#.......####.##..##..##....##.#........###...#.#.##..####........###.#.#.#..#############.####.###....###..#.#.#########......#####.#...#####.#.#......######.##....#.##.#.###..##.##...###.#...###########.#####.###.#.##......#####.....##..##.##.##.############....##.##..#.##.#......##.#.##.##....##........##.#######.##.##.#.#####..##...#####......#...######.###.#.##.##.##.##.#....#.#..#.##.####.#.....####..#.#...##.####...#..#.###..####.###.#.####.##.#.#..##.#..##..#.#.#.......#.#....#.####.###.##.#.##.#.##..##.....#.#.#.##...##.#..###.#....#.#.#.###.###.#..#..#.#.###..#....##....##.#..##.##.##.#.#.####..#.##.##....#...#
#..#....######........##.#####.#..#.##....#..#....########.......##.######.###...#.##.#######.##.#.#....#.#.#...##.###....#.##...#.#.#.#.......###.##.########..##.#.#.#.###.#######..##.....##..######.##.####.#.###...#.....###..#.###.###.###....#.#.###.##.#.........############..##.#.##.#.##.#####.##.#.....###.#####.##.###.#.##.#..####...#......##.....###.#.#####.##.#...##...#..##.#.#....###.##..#.###.##.##.##...####..#...##.#..####.##..##....#.###.##....#.#...###.#########.##....##..#.#..........###....###...###.##...###..#.#..##.#.##..###.......##...##.......##..####.##.###.#...###..##.###.####.#.#####...##..........#.#.####....####...#.#.############.#..##.......#.#.##.#..##.####.###.#.#.####.##.#.##.#.###.##......##.......##.##....########.##.####..#.###..#.#.......##..##.##..#.####.#.#
##.##.###......##.##.##...##.#.##.#.#####.##.###.##......#######.##..###.###.###.#######.......#####.####.#####........##...####.......#######.##...#...#.#.###....#.#.#.#.#.........#######.###...#.#.....##.#.#...######.##...#.##..#########..##.....#.#.##.########.##.#..#.....##..............#...#.#..#####...#.#..########.....#.#.###.###.#.######..#####.#....##........######.##......#.####.#####.......##..####.#..#.##.#.###..##.........######.....#######.#.###.#.#.##.###.......######...#.#.#####.##.####.#.###...####.#...##.....##....##.###..#.########.########..##......##.....#.######.##..#..##.#.#..##.#.###########.#......#.#.####.####.#.#.#.#.##.##......########.##.#.##.#.##...##..#.#......###...........##...#.#.###########.....#.####.#.........##.##.#.#.##.#.#.####.####.##.#..##....#####
####..#...#######.#...##.###.#.##....#.##.######.######.##........#.##.#.##..#.#.##..#.######.##...###.....#.#..###########.#..#######.#.##.##.##.#.#.###....#####.#.#.#...#########.##.#....#.###.#.#####.#....#####.##.######....##..##.......###.###...#.##..##.........##.#####....##.#.#######.###...##.#.#.###.#.##..###.#...###.....##..##.....##..##.#.##....########.#.#...#.##.#######...###..###.#.#.##.#######.####.........###..####.####..#.#...###.##.........#...........#######...#..###.#.#.#.....##..##....#.##.###.#.###..#####..###.##..#.######....#.#.#.##..##.####.###.######...##..#...##.##..#.#.#.##..#####.#.......###.##.#.###.##.#..#.#.#.#......#######.#.#....#.##.#.#....##.#.###.#.#####.##.######.#.##..##.##.###..#.#.##...#.#....###.#########.##..#.#.#.#..#.....####.........###.#####.##
#.##.###.##..##.#####..#.#.#.#.###.###.#..#.##...#.####.#########...#.....##.#.###..##.###....###.###..###...#######.##.#.....##...##...........###...#####.##.#.....#.###.#.##.#.#...#.####...#.#.#.#.....#.##..##.#.....##.#####.###..#########.###.###.#.###.######.###.......#####.######.......#.###.................##.....#.####.##..##.#####.##..##..#.#..##...##...#######.#.......#.####.#.##.#.#...#..###.#..#...#...#####.###.#.##.####..#.##.#######.######.###.##.####.#####..#####.##.##...#######.#....####.###..#.#.#.####..###.###.##...##......######.....#..##....######.#.#.##...#####.#.###.....##.#.#.##.###..#.##.########..###..#.....##.....#...######.........####.#....#.#.#######.#.....##..#.##.#....#######.....#...##...#.####.########.#.##.........#.##.....##...#####.#######.####....##....#
#..#########.....##.##.#.#.#.#..##..##.##.#..##.##.#.....#.##.....#.###.###..#.####.##.....####.......##.###.###........####.###.#....#########..####.#.#.#.##.###.#.....#....#.#.###.#..#.###.#.#.#.##.##.####.##..###.#..#.#......###.###..#.##.##.........#...##..######.#.#.##.#.#.#.#.#####.##.......###############..#########.######.#..#.#.#..##..#.##.##..###..###..#.##.#.####.##.#......#.##.#.###.#.##...##.###.#####.........#.##..####.#.....##.....#.#..###....###.....##.#.##........####...###...##.#........##.#.#.#..##..###..#.#..##.##..######.#.###.##...######..##.#......####..#.#......###.#....#.#.#....##....####..##...#####.##.#.#######...###.#.##########.###..####.#.#.##..##..##.######.#.##...##.##.#.######.#.###..#...#.#...#.##.##.#.#####.#.##....####.##..#.###.#...###......##.###..####
##.##.#.#.####.#...........#.#.##..##..##...##...#.#####.#.########.###...##...#.##.############.#.##.#......#.########.#....#.#####.##.#.##....##.##.#.#.......########.####.....#.#.##.......#.#....####.##....##.#.####.#.#####.##.#.#.##.......#######.#...####.###..######..#.#...#....#.######.#.#.#####....####....##..###.#...##....#.##.....####...#..#..#######.##...#....#.####....####.#.##...#.#######.##............##.#.##......##.#....##########.#.#.#######..##.##.###.#..#######.##.#..###.#########.########.#...#.##..##.##...#.##..###.####.#.......####..#..###..#.####.#..#.##.#.#.######.####.###.#...########.##...##..#..#.#.....#...###.###.###....##.##.#...#.##..###.#.#..##..##.....###......###..###.....#.......#.#####.##.#.#...#..##....#..#####..##..##.....####.#.#.###.##.##.##....#.##..#
#..#......#.#####.########......##..##..#.######.#..##...#.#.#......#.###..###....#.#.#.#.....##########.###.#...##..##.####.#.##.#..#.......##.........######.##.#.#....######.#.....########...####.##....###.##......##.#.#.#.#.##.#.#.#..#.#.#...#.#######..##....##.#.#.###...##.#####.#.#.#.########.....##....####..##.#.#.##.######....###.#..#####.##...###..#.#.####.####.#.#.##.#.##.......##.##.##.##.#.#####.#.#.#.#.#..#####.###.##...##..##.#.#.#..#.#.##.#....######...#.##.#.#.##...#.##.##...###.##.#.#.#..##..###....#.###.####....##..##......##.######.###.#.##.##.#.#.#####...##.#.#.##..#....##.##....###.##..#...###.######...#.###.#####.#.......#.####...#...#.#..##.....#...##..#####.###.###.##.#.#.###..###.####.#.##..##.#..#.#.#####.####.#...###.#######..###.###..#.#.......##.####..####.###.#
##.###.##...#.#########.#######..##.##.##.#.##.#...##..#.....######...#.#.##...##...#.#.#####.....#.###..#.....#####............#.######.##.###########.#.##......#.####........#####.#...######..#.#..##.#......##.#####......#.#.##.#...######.###.#.#.#.....####.###..#.#..#..#..####..........#.#......#########.###..##............######...####..##....###...##.#.#..##...##....#.####.#####.##.....#.#..##....##...#.#####.##.##.#####...##.####..#.#.#.##.#.#.#..####.####.#.#....#.#....##.##.#..####.....#........####.######.#.#....#.####....##..#########.##.........##.#....#.#.#.###.........##.#.####...#.####.#..##.###..##.#..#.#.######...##.....#.###.....####.#####.#.#######...#####.##......#.######.#.#.#.#.###...###.#..##..#.##...#.###......####.###...###.###.........##...#######....##.##.#..#.#.#
#...#######....#.##......#.##.##.##....##.#.##...#..#######.##......#......##.###.#......##.#.###.......##.#.#..#.####.#.######.#.#.#.#..#..##..........#.####.##........#.#.#.####...###.#....##.#.##.######.##..#..##.######......#.###.##########.#.#.#####.##.....##.#.##.#####..#.####.#####.....#.####......#....#.########.#.###.#.##...#######.###.###.#.###..#.##..###..####.#.#.####.##..#..##.##.#.######..###.#.##.####..##.#.#.###..#.##.##.#.#.#..#.#...##.......##....##.#...###.##.....#.##....###...#.###.##.##.#..##....##.#....######.###.#..#.#.#...######.#.##..####...#.#.####.#.####.##.#..##..#.#...#..#.##...#..###.##.......##.###..#####.#####.#####.#...##...#.##..#.###....##.###.#.###.#.##.#.#.#.#.#.#.###...####..#.##.####.......#######.......###.#.#.#.##.#.##..###.##.##.#.#.##...#.#.##...#
###.#.##.####.##....##.#......#...####..#.#..######..##.#....#####.##.#.#######.########.#....#########..######.#.#.##.#####.#..........###..###.####.#.........##.###.##########...#.....###.##....##.#.##.#####...###.###....#.##.#.#.#.#..#.##.........#....#..#.###..#.#..##..##.#..##..#..############..####...##...#..##....###......##.##.#.##....#.#.#.#...##.#....##.#.##......#.#.#.....#####...#.#.##...##.#.######......##..........#####....#.#.##.#.##.#########.####.#######.###..#.###....##############......##.##..###.########.#.###..#.#.#.##.#.##.##.##...#..##.##.###.#.#.#.#..#.#....##.#.######.#.#.#.##..###.##.##...#####.###..####...#####.......##..##.#####....##.....#.####..#.###.#.#.#....#...#.#.###.#.###.##...##.##.#..###.#####.##..#.##.##..##...#.#..#########.#..#.##.#.######...#..#.###
#..............#.#########.##...#..##..##...##.##.##.#..####.#..##.#..#...##.#..##.#...#.######.###.#...###..........#####...#####.#.##.#.####...#....##.##.##.##...#####.#.#.#.###.##.##.#.#..###.##.....#.##.###.###......######........##.#.#####.####.####.####.#.##.#.##..##....##..##.##...###.#.#....##..##.#####.#.####.####..#.##............##...#.#.#.###..####......##.####.#.#...###.#.....#......##.###...##.#...#.####..##.##.##...#.####........#.##....##......#.###.###.#.#.##.#.#...#####.###..#.#.##.#.##....###..#..##.#.....#...##.#.#.#.##.#..#.....###.#.###..............####.####.##.#....##..#.###....##...##.####.#####...##.#.#..###...#######..##......####.####.#.#.#..#.##....##...#.####.###.#...##....###.####..#.##.#.##.#.###.#....#########..###.#.##..#.##.##..#.##..#.#..#######.#.##..##
#############.#######.#.##.#..####..##.###.##..##.##.#.##.#..##..#.##.#.#....##.##.###.....###........###.####.#.#.#..##.###.......#.####.#..###.###.#########..##.##.............######..#.#.##.#.######.#.##.#.....##.#.####...#.#.#.##..#.....#######..###..###..........#.######....########.#...#.##.#####....#........#.####...##.#..#.####.##.###.#.#.#.#.....##.##.##.#..###.#....#####...############.#....###.#..#.#####.#..##..#..##.#.....#..##.#.#.#.##.#######.##...###.......#.#..#####..##.#.#.##...#.#########.##.##.#.##..##.##...####.#.#.#.##.##.#####.#.###.#.###########.####.##.#....##.#.######....#####..###..#.#.##.......###....##.####.##..#####..####.###..#.##.#####.#.##..##.###..#.#.#....#...#.###..##.......##.##.##..........#.#.####.#.#...##.....#.#..##.##..##....##.#.##..##.##..#..##..#
#......#......#.##.......##########.....##..##.##.##.#..#...####.###..######.##.##.#.###.###...##.#.#.#........#.####........###.#.###.#..##.#.#####...##......##..######.###.###.##.####...#.##....##.##.#.##.###.#########.##.##########.####.##..#..##.#.##.....#.##.#.#....##....####..##.##...#....####....#.###.#.#.#.#..#.#########.###.....###...#.....#.##.##...#######.##....##..#.#######.#.#.###...#.#.##.#.#.######.....####.#####.##.##...##..###.#..#..###.#######.#.##.#.##.....###.###.##.#.#.#..#....##.......##.#....###..######..#.#.#.....##.##..##.....##....##.....#.#...##...######.#.....#..##.####...##..###...#..#######..#####.##...##..##.#..##.###...#.##.#.#...#.#..#..##.##.#...####.####.###.#.#.####..#####.##.##.######.#.####.#.####...###..#.###...##.##.##.##..#####.#..##..#.#..##.##..##
######.####.#...#####.##.##.#...#######.##.##...#.##.##.###..##....######.##.......#.##..##..###..#.#######.#.####..##.###.#.###.#.#.....##..........#..####.###..##......#...#......#....#....####.##......##.#......##.#.#.##.##..####...##.#..##.##..#.#..#.#.#.###########..####.##.##.#..#########.##.####.#..##.#####...##..#.#...#########.############.#.####..#.##.##......#.####....##.##........###.###.##.#.#..##..##.#.##..####.....###..#.##.##.....##.##...#.#.##..#.#######.#.####.......#.#...#######.########.#..##.###.##..#.####.....#####.#...##..###.#....##..#####.#.##.##..###......##.####.##...###.###..##...#.##..##.....##..##.##.####.##..##.##...###........#.###.##...##...#.#.#.#.#..#.#......#.#...#####.....#...#..##.####.#.##......##.##.##...#####.#...#.##..##.#.##..#.####.#...##.....###
#.......#####.###..#####....###..#..........##.##.##.#....#.####.###.##......#.###.#.#..##..##...##.##.##...#######....#...###...#######.####.####.#.##.#....##..#####.##.##.###.#.#...#.###.#..##..####.#####.####.#.#..........##..#.###.##...###.###.#.##.#####.#...#.#...##..#....#.##.##.#...#.#.#.#..####.#.#####.....#..##.#.##.##.##.###..#..#.##.........##..####...######.#.#.####.##...######.#...#..#..##.#.#.###.##..#####......###.#...##..#####.##.....###...#..##.#..##.#.###....#.###.#...##.##.##..#..#.........##..#.#.#..##.#.#..#.#.....#.###..#.##.####.#.###...###.#.#...##...####.#....#..#.#..#...#.#.#.####.##.##.#######..#.##...#.##.#....##..#..############...##..#..#..##.##.###.#.##.#.###.##.....###.#######.##.##.##....##.#.###.#####...#.######.##....#...##.##..#..##.#..#.#.##.##..#####.#
#####.#...##...##.##.#.####.#.##.###.#.##.#.....#.#..####....#.#..##.#..##.#######...##..#######.##.#.....#.#..#..##########...#.##.......######...########.###.###.##########.#####.#####.####.###..#...#.##...###.############.###..........####...##.#.#..##.##.###.#.###.###.####....#....###.#.#.#.##.#....####.#..##.###......##.##..#.#.#####...####.###.####.####..#.#...##.###.#.#...###......#####.##.##.##.#.#.##..#####..####.#.########.#..####.#####.########.#.##....##.....#..#.####...#.#........##.##.#########.###.#.#.#.###.#.####.#####.#.##..##.##..#...#.#...#...#...###..##.##.#######...##.##.#####.#...#.####..##..#.#..##.#.####.#....####.###.##..##.###.##.###..##.##.##....##..#..#.##.#.#.#######.####............##.#####.##...........##.##..#.##...########..#.###...##..#.##...##.##.##.###.#
#...#####..#.#.......................#########.##.#.##..####.#.#.##..########.##...#.##.##.#..#...####.#.##.##...##.###.############.##.#.#.##...#..#.##.##.#...##....#.###.......######........#.##.###....##.##.#..##.#...###..#.##.#######..#.###.#....##.#...####....##..#.#.##.#.##...##.......#.#.##.###.###.#.####..#.##.###.##..##.#.#.#..##.#...####.#.###...##..######..#####.#.###.#.######..##.#.##.......#.#..##.#.####.#..#####...##.####.##...##.#...#.#..##...#####.####.#...####.####.######.###.##..#.#..#..........#.#.#.#.#.#.#.######........###..##.###.#########.###.....##...#.#.#.###.###..#....###...###.#.###..##.#.##.#.....##..#.#####.#.#.#..#.###.#.#.#..#.##.#...#.#..######.##.#.##.#.#.##.##......#########.##.##.#.##.....##.#.#.####...##.#.#..#.....##...##..####.##.##.#..###..##........#
###..#.#..#####.##.##.#.##.#.##.#.#.###.##.###.#..#..##......#.#..##.###.##....#.#.#..#.#..##.###.#########.#..#.............###..#######.#.####.####.#...#####.#..##.....#.#.###...#..##.#####......####.#....#..#.##..##.##.##.#.#######..##.#.#...####.##.###..##..##..##...#.#..#############.#........#.###...#.#.#..##....#....#.##..#.#.#.######.##.#..#...###..##..##..#.###....#.#...#..##..#.##.....###.#.#.....##..#.#.#....##.....#.#..###..####..#.##.##.##..###.#.###..#.#.###...#....####......#...###.#.##...####.###.#.#...#.#.#.#...##.#.#.#.##...#.##..#.#####.......#.#####..###...#...#....###...####.###..##.#.#...##....##.#####.###.#.##........#.##.##......##......##.#####...#.#..#....##.#.#.##..##.########......#........#####..#####....##.##....#######.#####..#.##.#..##..#...#####.##.###.####
##..##.##..##.############.#.#..#.####..##.....##...##..####.#.#.##..#......##.######...##....#.###.#.#.#.####.#.###.#######.#.##..###.#.....#####....###..#.####.#######.#########.#.######....####...#######.#.##..##.#............#.....##....###.###.....#.##.#..####.####.#.##.##..###.......########.....###.#.#.###########.#....##.......##.#....#.##.#.#####.##..####...#.####.....#.##.###....#####.....######.####.#.#.####.#####.##...##.####.###.#.##.##.###..##.#.#.#.##.#####.###.####.#########.#.......##.##########...#.###.#.#.#.###..##########.#..#.##..##.##.##.#.........##.###.###.####..##.###.....##.##..#.###.###.###...##..........##.#.#.#...##.####.##.##.#.##.....##...#.#.##.#.####..#...##.##.....##..##########.#.#.##.#.#.###..##.#..#..##.###.#.#.#..##.##.#....##..##...####....##.###.#..#
#..##...##....###....#.#...####.####.##.#..###.####..##.#..#......##.######.#...#.#.##.######....##.#........###########.#.....##.##.....###.#.######.#.##....##..##.......##...........##...#.##....#....###..#..#.##..#######.####...#.#..###.##.....#.###.#.#....##...............##...###.###.######.###.###..........##.#.#######.####.####.#..####........#.#...#..##.##.###.#.#..#.#.#....#.####.##..#####.##.....#....#.#.#.#...##.#####.##..#.##.#.#...........##.#..#......#..##........##...##.#.###.#######.######...#..###....##.........##..#.#.#.###.##.#.##.##..#..##.##.#.####.#..##..###..#.#.##....###.####.##.##..##.#.#...#.######.#.###.#####.#####......#####..###.###.##.######....#.#.#.###...###...###.#####.#.##.##....######.#.......#####.##.##...#..#.#.#.###.##.#.####..##..#....###.##....###.##
##..##.##..#.##.####.....#...#####......#.##.#.#.##.######...##.#.#...###.#####...#..#.#.#.#..####..######.#######.##....#####.#...####.###....#.##.#.#.####.###.#########.##.##.###.##..#########.#.###.##.##.#.##..#.##.###.#############...#.######.#####.#.###.##############.#######.#.###.###.......#..#.#########.###....#.#.....#####..#...##..#.#.####.#.###.#.##...#.##..#.#.####.####.#.#.#...##..#.#..######.####.......###.##.##.....##...##...#########.###..##.######.##.#..##.###.####.#..#...####......#.#..###.##..#####..#####.##.####.#.#.#.....##....#.###.############.#....####.#.##.....##.####.#.##.#..#..##....#.###........######...#.##.#...###.#.##...##..####.####.#....##.#.......#.#.###.##.###....#.#.......####..#.#.#...########.####..####.##.....#.##..........##....########..###.####...#
##.##..###.###.....###.#.#.###.#.######.###....#.##.#.##...#.########.#...##..###.##.....#.#.##..##.##.###.#.#.#....####.##....##.###.###.###.##.#......#....#.###..###.....############...##.#.######....#.#.....##...##.#.#.##...##.##....#....#.##..##........###.#.#.###.####.#.##.#....###.####.#.##.##.#.##..........####...###.#..#..##.##.##..#######.#.#.#.#....###...#..##.########......#.##.####.#.##.#.........##.###.####.##....###....######...##.##...#.##.#...##.##......#####.###.#..##.#.#.##.####.#...#.##...##.##.##..##.##...####.#.....#####..####....##...#####.#.##.###.##....#....###..#..###...##.##...###.##.#.#.###.#######.#.###....####.##.#.####.#####.#.#...##....#.#########.###.....#.##...##.#...#######......##.#.#.#####....#..##..##.....#####....######.######.#######.#.##.#....#...###
#...##.#.#..####.###...###.#...#.#.......#..##....#...####.#...#.##...###.##.##.#.#..##.##.#.#..##...........#.####.#.#...####.##.##...#......#..######.####...##..##.###.#..#.##..###.###......#.#..####.#...##.####.###.#.#.###.##...#######.#....##.######.##.##..........#......#..####.#.#.#.#######.#..#..######.#.###.####.#.####...##..##..##..###..#.....#...##...###.##.#..##.#..#..####...........#.##########.######.#.##.#.##.#########.#.##.#.#.......#......###.#..####.##..#.#..###.##......#.#.......###...####.#..##.#..##...###..#.#.#####.##.#..##.##.#######..##.............####.########.##.##...#.##....###.####...#.....###.##....##..#####.#.##.#..##...##...#.#.#..##.######.#......#.###.###..#.########.#..##...#.##..............####.####..#####.##..###.##.##...###.#.....##.#.#.##.#.####.#...#
###.##.....##.#....#######.###...#######.#.######...#...####.#....###.##..##.#......##..##...#.########.#.#.##.#.#..#.##.##.#..#...###.##.###...##.......#####..##..#.#.####.#..##.#.#...####.#.....##......####.#.##.##.......##..###.###.....###.##...##....##....###.#.##.##.##.##.##......#...#..##.#.##.#.##...####.##..#.##.#.##.###....##..####.#.##.#####...#.######....#.#.###.##...###...#.#.#.###.....##...##...##.##.#.##....#.#......##.#.#..######.#.#######.##....##.##.#..##.#.##....######.#########.#####.#.#..##.##.##.####.....##.#.##.#..##.##.##.#..#..##.##.#####.####.#.###.##.##.##..........###.###.#.###..#.###.####.##....#.##..##..##.#...##.#.####.#####.#.####....##.##..#.###.##.#.#.#.##.#.#..##..#.#.#############.####.##.#...#..##.#.##.#.#.##.##......###.##.#...#####....#.##.#......#.#.#
#.#..#####.##.##.###.......#####..##.#.....#..#.##.######.#####.###.#....###.###.##..##..#.###.#.#..#.#####.##.#.##....#.##.##.###..#..#######.#########.#.##..####..........##.##.#.###.#.######.#####.#.#####..........#####..#.##...#.###.#.###.###.###.#.###############..####.##..######.###.#.##.......#.####..##...##....#....#..#..##.###..#.#..........#####..##..####.#...##.....###.#######.###...###.###.##..#..........###.##.######.##.#.##..#.#######....#...####....#####.#..#..####.#...#...##..#.####.....#.##..#..#.#..#..####.##..#.#....##..##......##.##..##...#####....#..#...#.#...###.#.##.#..####.###.#.##...#...#.#..###.#######.##.##..##.###.....##..##...#.##.####.#..##.#####..##.#.#....#.#.#.##..##....#.#.#.#.####...####..#.###.###...##........######.##...#..###..##.##.#.#.#....###.######
#...##.##...#..#...#########.###.##....######......###.##.#.#...#.#.####.#....##########....##.#.##.#...###.#....#####.#.##.#...###.##.#.#..#....###..##.#..##..#.#####.##.#.........##....#.##......#######....#.#.#.######.##....###....##.###.#.#.#.#.#####........##...##.##.#....###.#.#.#.#.#..#.###.#....##..##..#.#####...##.##.#.##...###.#...#.##.###....###..##.##.....#..###.#.##...############.#...#.#.###.##.##.##.#.....####...##......###...#.##.##.##...#..#.###.##.#...#.##.##.##.#.#...#####.....###.##....##.##.#.##.#.###.#..##...##.#..##.###.###.....##.###.##.#####.###.###.#.##.###..###..##..##...#..#..###.###.#.##..##...##.#......##.#....#.###..##..###.#.#..####...##...##...###...#.####.#.#.#..####.###.#.....#..#.#.#.#####.......##.####.##.##...#.#...###.#.###..##...#.###...##..##....###
###.##.####.##...#..##.##.#.......#############.##..#...#.#.###......#.#.###.##.#..##..####......##.#.###.#.#.##.#.##.....#.###..........##...##.#.##......####.#.##.#########.#.#.#....##.#.#####.###.#.#.###.##.#.###....#..#.####.###.######....#.#...##.#######.#.####.........##..#........#...########.##..##..##.###..#######..#.######.#.#.###.#.##.######...##..#..###.####.#...#..###....#.###..######...#..#####..#.#..###.#..##..###..####.#.###.#.##....###.###...#....#.###......##....#####.##..#####.#....####.#........#.#.......####.######.#..#.###...###.##.#.#.##.#.#.###.#..........#.##...##..##.####.##...##.#.#......##.##.###....###.##....#########..#.####...##.#....#..#.######.#.#.###..#.#.#.#.#.##.#..#.#.#####.##...###...####.#.#####.#.#########.##...#####...#.##....###..###.############.#
#.......##..#..######..##.######.##..##....#..####.##.###.#.....####.#.#.#.#.#..##..##..#.#.######....##....####...#..###...#.##########.#..#.####.#..##.#..##.......#.#####...########.#...........#........#############.##...##.#.###.##.#...##.#.#.####...##.####......#.#.###..##...#.##.#.###..##......###..#.##...###...###.##.#.#...........##.######....##.##..##.##....#.###############...#.##.....####.#.##.##..#####.######.##.##.#####.#..........##.###.###.###.####.#.#.###.#######.###.#.....##..##.######......#.#.##.....#####..##..##.#.#.#.##..####.######.#.#..#.#...##....##.#####.#.##.#..#######.##.#..###....#####.##.......######...##.####..##...#.##.##.##.##..####.##...#.#.#..#.#...##...#.#.....##.##.#....###..####..##.###..#.####.#..#..##.##.#...##.##.#...###..####.#...##.#.#......####..#
###.###..##.##..##..##.#...##.#..###..##.#...###.#..#.#.#.#######.##.#.#.#...#.####..##......##.###.#..####.##.###...####.#.#..#####.......##.#.#..##..####.########....##.#.#..##..#...###########...##.#.#..##.##.........###.##...#.#.#..#.####.#.#..#.###..#.#.#..##.#########.####.#######.#.##.####.#.##.##......###.#.#..........####.#.##.#..####..#####.....##.##..##.###.##.#...###...####......###........#...####.#.###.##...#..##.#.#...#########.#######............#.#.......#.####..##..#.###.###....#.##.###.#.######..#.###..#..####.#..#.#.#.##.##.#..#..##....#.##.###..##.#.#..#..#.....#.#.####..#..##.##..#####....##.####.#####...#..#.....####..###.#.##..#.##..##..#.######.#.#.##.#.#.######...#####.......##.###...##.#..##..#...#####...##...##..##.###.#..##.###.....##......####...#.######..#.##
#######.###..##..##.#..###.##.##.#.#.##..###..#..##.#.#....#.#.##.#....#.###.#...###..###.##..#..####.##..#.##.#.##.##....#.##.#...#########....##.########.#.##.....##....########.########.#.##.#.#.##.####.....#####.#.#.....##.###...##.###........##..#..##...####..#..........##..#.#.##.......#.######..#######.###.#####.######.##.#########..#.##..#.###.#.##..##.##......##.###.#.###......###.##...#.#.##...###.#..#.##...###...##......#.....#.....##.#..#######.##.#...##.#.##....##..####.....#.#...##.#.#......####..###.######.##..##....##.....#..##.##...######.#.##..###....#.##.##.#####.#.####.##...##...##.#.###.##.....###.#.#.###.#.#####.##.##.##...#..##....#.####...##..#..............##.##.###..###.##.####.#.###......####.#.###.#.###....#####.....#..#.###.#...##########.###.##.##.#.##.##....#
#...........##..##..##.#.#.#..#.......####.##.#.##....###.##.#....####...##..##.##.##.#...###...##.#..#..##.#........######.##.###.#.#..#.#####.##.#.#.#.#.....###########.##.#####.#.##.......#..##########..#.#..##.#########..#..####......#.#.###.####.##..###...###.##.#.##.##..##.#...#..#.###.#.#.#.###....##.#.#.#..##.#####.#......#.#.##.##...###....####.###.##..##.######..##....###.#.#.#################.##..##.#.#..######.########.#.###.###.#..#.#.##.##....#..#.#....######.##..##.####.######.###.#.####.####.##.#.###.......##.#####.####.#...###.##.###...##....#.##.####.#.#..#...........#.#..##.####.##....#.########.#.......#.#.####.....#.##..###...######.#.#..###.###.########.#.#####......##.##.####..##....#.######..##....###.#.##..#####..#####.##.#.#.#.###..#.##.#....#.#.##..#.#..#.#..##.#
#.#.##.###.####..##.##.....##.####.##...#.......#..#.###..##.####....##.##..##..##.##...###.#.####.##.##.##.#####.####.#.............##.....###.##.#.#...#####..#...##..#.......##.......###.#...####..###.####.##.....#.#.#....##.##.###.##.######....##.....###..###.##################.#...####.........#.##.#......#.##.#...##.....#.##...........#...##.###.........##.#..##.##..###.####.#.#.###.###.#.##.........##..#.#.##...#.....#..###..#.#.....####...#.#..#..##########.#.#.......#.###.#.....#.#.###........####......#.#####.#.#....#.#.#.#.####.####..#...##.#######....#.###..####.##.########.#.#.##...##...###.##..##.#.##.#####.###...##.####.##.##.######.###.#..#.#.##...#...#......###...#.####.####.##..##..####.###.#..#.##..#.##...#.#.##.##.##..##.....##.#...#.#...##..#.#.##......##.....##.#.#####
#.#######....#..##..#####.##...###.####.####.##.####.#.#.##..##.####.##.##.####..#..######.....##..#.....##.##..#####..##.##########.####.###.#.##.#.###..#..##.##.####.######.##..#.#.#.#...###.#..##.#.#.#.##.##.#.#.......##........#####.#.##...##.######.#.#.##....#.#..#.###.#.##...##.##....#.#.##.##.#########...##.##.#########.###.###########.##....#########.##.##..#.##.##...###..#.#####.....#.#########.####.#......#.#####.##...##.#######..#####...##.####..........#####.###.#.##..#.##.##...##..######..#.###.##...#...######.#.....#.#.#.#..###..##.####.#..######.##.#.##.##.#######.....#.#....##.##..###....##.##.#.#......#.#.###.#.......##.#...#.#....#..##...#..###.###.######...##.##..##..##.#.##.##..##.#....#.##.#..##.#.######.#.#..##..##..#.###....###.#.###.##.##.####.######..######.#....##
####.#..####.##..##...###..##.##.###.#....####....#....#....##..#.......##..#.##.##...##.#####.###.#.###..#..##..#....#############...###.#.#.#.##.#..###.#.##......#.#....#.#.###############.....##.........##########.#.#.#..#.##.###.#.#.#.######..#.##...#.#.####.##.##.#.#.#.#..##################.....#.##.##...#........##.#..####.#####.........##.####..#...##.....##....#..###...##.#.###.#####.#.#...##....##...#.##.#.#...##...##.######.##.##..#..###.##...####.#.##.####.####......##.####.##.##########.##...###..###.#.######...###.#.......#.##.##..#..#.#.#.##..###......##.#...##.##..###.#...#.###..##...#.#.##..#....######......#..#####.#.##.#.###...##.#.##..###.##....##.#.##.#.####.##.####....#.##..##.##...#.##....#.###.#.#.#..#.#.##.###.###.###...##..##.#.###.##..#..##...###.##......#...##..#
#....##.#....###.##.#...##.##..#.##..####...#####.##.#.####..##.#######.#..##.#...#.###..#.##...##.###.##.##.###.#.#.###.#........###.#.#.......##.#.##........#.##.....##.....#.##.#.#.#.###..#.#..#########..##.#.#.#..######.####..##.#.#.#.#.#.###....###.#.#..##..##.#........#.###.####...###.#.######...#..#############..#.#.##.#........#######.##.#..##.#.#..#.#.#....####.##...#.#..#.#.........#.###....##..###.###..#.###..##.###..#.#......###.#.##.#.###.##..#########.....#####.#..#.##.#......##.#......##.##.####......##.#..#############....#..##...##.#.#..#.##.######..####.##...#####....#####.#.###.#####..##.####.#....#####.##.##.#.###.#..#...######.#.#..##.#.#####.##....#.#.##......##.#.####.###.##..#####.#####.#.#.#.....#.##.#.#...##..##.####.####.#..#.#.#....##.####.##.#.#..######.#####.#
####......##.....######....###.#.###.#....###.##...###..##..##..#.#.##..##..#.###.....##......#.....##........##.###.#.#.########.##....#######..#.#..####.###.#######.##..###..........#...##.####....#..#...##......######..#.##.#.##..#.#.....#.#.###.##.......####.##.########....#...##..#............###.##..####.###.#.##.#.#.##.######.#.#............##..####...######..#.#..##.#####.########.##...####.#..##......###.######.#..##..##.######.#.#....#...#.#..##.##.##.#.#####.#...###.##.##...##.###..#####.###.#...########.#..#####...##..###..##.#.#####.#..#.#.##....#.#.##.###.#.####.##....##..#.#....#.#...##..##..###..####.#.##..##.##...##....##.###.##.#.#.#.##....#.##...####.....#####.#.##....###..##..##.#.##..#.#.#.#.#...#.###..#.#.#.#####.#....#####...##.#.#...#.##...##..##.#.##...##......####
#.#..####.##.#.#.#.#.#####..#....#.#.####.#......#..###.###..##.#....##..##.#..##.################.####.#.###.#...#........###.....####.###.###.##.#.##..########.#.#########..###.####.###.#..#....##.##.##.########.#....##.###.....##.#.#####.....##...###.#.#..##.....##.......##.#.#.###.##.#.##.###.##.#.#..##..#.......#......#..##.#.##############.####.##########.##..##.#.##..#.##..##...######.#.#.#########.##.##.###........##..##...##.#....##.#.###.#.#.###....#............#..##.##....######.##..####.##....###.##.#.#.##.###.###.###...#####.#.#.##..#.##.#..####.#.#..#..#..........###.####.#...####.##.####..##.....##.##....##.##.####..###.##....#.##........####.#.####...###.##..##.###.###.###.##..##.##....##.#.....#.#.#####.#.##.#.#...##....####.#.#.#.#..#.###.######.#..##.......####.######.##
#.#####...#..#.#......#####.#.##..........###.#.###.#.#..###.#..####.##.##..#.##..###.#.#.##.##.....#.#####.#.###.########.#.####.##.............#.#.#..##...##.....#..##.#.##.#####..........###.####........#.#...#.####.##.##..###.#..#.#.#.#####.##.###.#.####..###.#############.#.###.#..#.#..###........##.###.#####.#...####.##.#.....#.#.......#....##..##.##.##...###.#..#.###....##..###......###...#.#.#.#...##..#.##########.###..##.##....##..###.#.#.#.#...####.#######.#.##.##.....####..##.#..###.#.....####.##.........##.#.........###.#.#.#.#.#.###.#.##.#.##.#....##.##.#######.##.#.###.#..#.###..#.#...#.#.#######.##.##.##....#...##..##.#..####.#.####.####..##..#..#.###.#.####.##..###..##.##..#..##..####.##..##.##........##.#....#.#.#######...##.#.###.##.#.##...#.###...##..#####.##.#...#.##..#
#.#.##..#.###########.........#..#.######.#######.....##.#.#.#.###...##.##.##.#..##.#.#....#..####.##..#.#........#.##.....#.##...##########.#.#...#.##.####..#####...##.....###.....##.#.##.##.####.##.#.###.#.###....##..##..####...##.#......##...##.#.#.###....###..#.#.#..#.##......##.##.########.#.#.##..............##.##.....#.#####.#...#####.####..##.##.##.####.....#.##..####.##..#########.###.#.#.#.#.##.####.#.#.##.#.....#.##.##..##.#####..#....#.#.#.####.#..##.###############.#.##.###...##.#.#####.........#.#####....##.###.####.#............##....#...##.####.#.....#....##.#.....#..##.....##.#...###.#.######........###.#.##.##..##....####.....######.##..##.#.##.##..#..#.#.###.#.#.##...##.##.###.#.##..##.######.#.######.#.####......###..###.....#..#.....##.##.#.##.####....#####.#.###.#..##
#...#########.##......#.#.##########.#.##.#.######.##....#...#.#.###..#.#..##.##.#..#.##.#...##.#...##.....######....#####.#..###..#.#.#.#.#######...##.#.#..####.###..###.#########.##.#######.........####....#.####..##.##.##.####....#####.####.##.......#####...##.#.#.##.#.#..###.##...####..##.########.##.##.#####.########.#....#.#..######.....#.#.##..##.......#.###.#.###..###.#..###.#.###......#.......#####.#.#.#....#####.#.#.....######.###.####.......##.#.##.#..#..#.##....#......#..#.##.##....#############.##########..#.#...#.#....##.######.###.####.###..##...##.##...#####.#####.##..##.#####.#.###......##..####.##.##.###....###.####.##..##.####..#.#.###..#.#.#...##.##.............####.#...#.#......#.##...###.###.....#.......###.####.##...#####.##.###.###..##.#.##..#.#.####.##........##..#
###.#..##......######.#######.....#.......#.#.#.#...##.#...#.......##...##..#.#..##.#.####.####.#.#.########..#...##.........##.##.#.#.#.#.##.#....#......##.##...###.###...##....#########.#...###.######...##.#.#.###.##.#..##......##..##...#.#..##.###.###.#.#.###..#...##.#.##.#...#..#####..##...##..#...#..#####.########.##.####.#.##.#.##.#####......##..#.##.##.####..#..#..##.....##.#.#.....#.#.####.#.#...#.#.......##.......#.##.##..#.##...#.......#.#.#..#.#..#.##.##.#..####...##.#.##...##.#####.#....#.....######...#..##.#####.#.##########.###.##....##...##..###.....###..##.######..##.##...##.#.#.##..#.#.####.#.########.####.#......##...##.#...#.##.#.#.#.##...#.##.##...##.#.#####.####......###.##.#.#...####...#.##..##.##.#######.#..##..##.#..#.#..#.......#..##..#..#.##.#....#.##.########..##
##....######.#..........###.##.##.#######.#...#.########.#.######.#####..##.#.#.##....#.#..#.#....###.##...##.##.###########.##......#..........##.#.####.....#.#.#.....###.#####.#.#.........##########...#.#....#.#.#.#....#######.####.##.#.#.##..###.#.#.#.#.....##.###.##....####.##.###..##..###.###...######.......#.##....#.#.........#.#.....#######.#..########.##.##.#.##.##..#.###..#.##.##.#.#.#....#####...##.#.######.#.##.#..####.##..###.##############.#.##.#.#..##.##..##########....###...##...####.##.##.#.##.###.##.##.##.##.#.#.....###.......###.##..###..##.##.######.##...##..##..#.##.####.#....#.######.##.....##...#...########.#####....###...#.........##.##.....###..######.##..########.....##.#.#.#..#.##.##.#..##..##.##.##.#.#.##..######.#.##.####.##.##.#..##.##.#..#.####..#.##..##.##..#
#..####.#....#.####.##.##...##.#..........###....##.#....####.#.#.#.##..##....#..####.#.##.#.####..#..##.###...#.#..####......######...#.#.############.#.##.####.#####.###..##.#.#.####.#.##.###..#...#######.##.......###.##.#...####.#.####.#..#.###....#.#.#####........####.###........##.###.##..#.######...#####.#.#.####.######.#.###.....#.#..#.##...##.#.#.##...........##..####.#.##.#.#######.####.#.##.##.#..###.#......####.#.##.......##.#.#.#..###.#.#.....#....#.###.#..##.##.##..####...###..###...##..#.#....#..##.....##..#.#....#####.#.#####.#####.###...##.##.#####.#...#..#####....##....#.#....#.##..##.##.####.#..###.##.##.#.##.#..#.#..########.########.##...##.####.#.####..#.##.##.##.#.#.######.#.####......#..##.######..#.#..#.#.#..##..#...#..#.#..####.##.##.........##.#.###...##.##..#..##
##..##..###.#####....######..#####.##.#.#..#####..#.###.##........#..##..###.##.##.##......#..#.##.##.#....###.####......##.#..#.#...#.###.###.##.#.#.....#...##...#.#......##.......#...######.##.###...##....#..####.##....#...#####.....##..##.#.#.####.#.#.#.##########.#......######.###...##.###.#.#.#....###.#####.#..##...##..########.##.#.##...##.#..#.#.#..###########.##.##.#..#.##.#...#.######.#####..#####..######.##.##...#.#######.##....#.##.....#.#####.####...#.#.##.##....##.#####.###.##..####.###.####.#.##.######..##.#.####.#..##.....#.#...#.#.....###..#..#.#.#.###...###..####.#####.#.####.###..##...#.#..#.##.##..##.........##.#.#.##.##.....#.#.##....##.###..##..#.##.##.#..#.##.##.#......#.######.##.#.#...###..#.#...##...##.#.#.####.###.#.##.##.##.#.##.#..#########....#.#.###...##...###
#..####...#..##.##.######.##.##.##########.#.###.##...#######.###.#.##..##....#.##..######...##.#..##.##.#..#..###..##########.....#.#..##.#........#####.###..###.....####..#######.###.###.##.#....###.####.###.#.....####.###.###.###.#....##..#.#.###..#.#...#.#.#...#....##.###........#.#..#.#.......#.##.#.#.#.#.....#####....###....#####.#####.######.#...##..##..#..#......##.##........###.#.##.#.#.....##.#.##..##.########.#....##.##..#####...####.#......#...#.###.#.#.....####....#......##..##..#.#..##..#.###.#..#.#....##.....###.#.#######...#.###.#####...##...##.#...#.###.#.##.#......###.#.#......##.####...#.####...##.#..#.#####.........#..#.###.....####.##....##.###...##.#..##.#.#...#.##.#####..#.#...######.###.##...#.###..#..#.#...#.##..##.#.##.##.##...#..#.###....##..####.#.##..#####.##.#
#.##.###.#####...#####.#..##.....##.##.##..#.#....##.####.#.###.....###..####.#..##.#.##.##.##..##.##.#####.##...##.##.##########.####.##..###.#.##..#########.####.##..####.#.#.#.....###.#....####.#....#####.###.#.#..#.#.###.....#...#.##.###.......##.#.###.#.#.###.##.#.##.#.##.#.###.###.##.######.####..#.#.#.#####...#.###.##.####.......#......##....#.#####.###.##.######..#.##.########...#.##.#.###.#..#.#.###.##.#.#..#.####.#.......##..###.##.#########...#.........####.##..####.######..#.##..##.##....##..#..##.#.####..#####.#.#.#.#.###.#.#...###...###.#####.##..###....#..#..#.#####.##.#...###.##.#...#####....##..#......####...#.#.###.###.####.####.##.....##.###..#.###.#..##......##.##.##....##.##...###.#.#...##.#..###.#.#####.....###..##.#..#.##.##..###.##.....#.####..####..#....###.##..#.#
#.##.#.#..##.##.###..#.##.####.###..##..##...###.##...#.#...#...##.##...##.#....##.....#.#..##.##...#..##....##.###.#..#.##.#.#...##...##.##...#.###....###..#.#.########.#......#####.##..##.#......####.#.##..########...#...#####.########.#.#######.##.#.##......##..####.#.....#######.##..##...##.#.#.#..##.....#.#...###..##.##..#####.#.######.#.#####...#.#.#..#..##..##.###.#.#.......####.##.##....#####............#.##.#.##.#########.#..##.#.......#######.##.####.##.#..#.##.##....#.#.#..##..##.#...####..##.##.......#...##.........#.#.#.#.####.##.##.##.#...##...##.#.####.##...##.#.#.#.#..#.####...####.##..##.#########.#.###..###...###...##...##.......######..#...##.#.#.....########.......#..#.##...##.##.......#..#.##.##..#..###..#####.##.##.##.#.#..##.##.#..###.###....#.###.##.#.#####.....##.#
#....#.##.##.#....##.........#...##..##....#......###.#.#.#...###...###.#..####..#####...##.#...###.#.#####.##..#.####.#.#....###..#.#.##.###.##.#.##.#...##.....#.#.##...####.#.##.....##.######.##..##..#.#..##.##.#.###...###.....#.##.#...#.##.#.##..#....####.###..##.#####.##.##.#.....##.####.#....#.##..#####...###...##.##.##.##.#########..#.#.#.#.###.#.#.##.##..##.##...#.....###.###.#..##.###.#..##...##########......#.##.##.#........###.###.#####.....#######.####.##.#.#..#####.......###.##....###.##.###.########.###....#.#####.#.#...#.##....#.#..#..#.#..##.##..#.#.#...##.###...#.#.##...##.###..##..###.#.....##..######...##...#.#####.#..######.###...#####.#.###..#.#.#.#..#.##..#######.#.#####.###...######.###.#.#...##.#.##.##.#.##...#.#..#..#.##.##.#..#.###..#.#.####.#.#.#....#.#.#####..#.#
##.#.#.#..#..###.###########.###.#..#####.##.####..##...########..###...#.##..##..#..###.##.##.##...#..##....##.#.##.#.#.####.....####.##..####..#....###.##.###......###.#..###..#####.#...##..#.###..##.#.##.##..........#.#.#####........#.........##.###.##....#.##..#..##.####....###.#....#.#..####....#.##...###.....#........#.#..#.##.#..##.###.....#.....#.##..##.##.####.#.##.##.###...#.###..####.########.#.#####.####.........########.#.#.#....###..###.##..#...##..........##..####.#.#...#.##.######....##...#.....#.##..#.#####....#.###....###.##.##.##.#.####...##.#.#.###......###.#...###.##..#.##..##..##.#.#####..##..#####.###.####.##..#.#########.###.#..##.#.####.#.######....##.#...........##...###.##....###.....###..#.#.##.##.#....###.##.##.#.##.#..##...#.##.#....##....#.##.###...#.#...##.#
####.#.##.##.###.##.#...##.......##.#.#.#######...##..#.##.#.#.##.#.###....##..#.##.##.#.....#..###.##.####.##..#.##..........##.###########.##########....########.###.#.##..#..##.......###..####.#.##....#...######.#####.#.##..##.##.##.##.####.#.........##.#...###.#.##...#.###.#########.#.##.#.###.#....#.########.##.####.#.#.##.#.##.##.....#..###...###......##..##..##..#.#####.#####.#...##...##.##..##...........#....#######...#.####.#.#.####.#.##..##..##.###.#..#.#.###.####.#.######.#.#.#..##.#.####..###.#####.#..#.####.#.####.#..#####......#..#.#..#..##..#.##.....#######.##.#...#.#.#..##.#.##.##..##....#.##..##..##.......###.....##...#..##.##..###...##....#.#.....#...###.##..#####.#########.##....####.#######.###.##.#.#..##.#.####...##..#...##.##..###....#.#.##.##.####..#.##..###.###.#..#
#.#....##..#.#.#.##.###.##.###.#.#.......#.##.##.######..............###.#..##.......#.#####.#.##.......#....##.#..#.#.#.#.##.####.#.##.##.#...###..######............#.#..##.##.########...##.##...#.#####.###.#.#....#.......###.#############....#.#######.######.#...#.####.#..##.##..#.###.#........######.#..##.#....#########.#.##.#.##..#####...#####.#########.###.##.##..##.#.#.#...##..#.######..#.###....#.#.##.##.##.#######.###..........#.#.#..#.#######.#......######.###.##.#....##..###.....###.#.##.#.##.#.......#.####......#....##....#######.##...##.#.######..####.##.##.#..#..#####.#.#.##..#.##.###..####.#.###.###.########.#######.####...##...##.....###..##...#####...#.##...##.##......###.##...##.####.#.#.#.###.#.#..#...##.#..#..#.##.####...####..##.....##...#.#####..#.##.#..##..##.##..##.#
#.###.####.#.#...##.#.#..#######.###.###.#....#.....########.####.##.#.###.#########.#.#.#.#.#.##.##.##.####.##.#.########..###.##.#.#...#.##.##.##.#.#.#..#.##.###.#.....###.....#.##.####.##..###...........#.#.##########.#.......#.###.#.#####.##.##.......##....###....##..#.##...##.#.#.#.#####.##.##.....#.##....##.#.##......#....#.###..#.######...####.#.##.#..##..#.#..##..#.#...#####...#.#.#..##..#####.###.#..#..####...........#.##.#.#.....##.#.#.#.##....##.#...#.##.#........####..###..###.##....##...##.####.##......#.####.####..##.###.#..##.####.#......#.##.##....##....##.##.#.##......###.#.##...##..##..#..##..##..##....#.#.#.#...#.####..##.######.####.###.####....#####..#..#.####.####.#..##.##...#.#.#.......#.#.#.##.###..##...##.......###.##.##.###########....###..##.#..#.##..##..###.##.#
#.#.....#..#.###.##...#.##...##....####..####...#####.#.#..###....#.........#.#..............#.#######...##..##.#..##.#.#..###.........#....#.##......#.##.#.############...###.#........#...#.###..#.#.##.##.....#.####.....#######.......#........###..#####..####..#####.###....###.#.........####.#...#####....#######.#..######.####.#.#.##..........#.............####.....####.#.#.###.#.###...#.##..#.##..#########.##.#....#.#.#.#############.##....#.#...###.#.######...######.####..##..##.##...#####.######..#.#.########.######.#...##.###..##...##...##..##.#####.##.#####.#####.##.#..#.######.##........####.####.#.###.##..######.#.#.#.#.#........###.#.##......####...#.##.#.#.##..###.#.#....##.#.#.##...#.#.#.#.##.#.##.#.#.#..#...##....#..###.#######..#.##.#.##........####.##.##...##....##..##.#....#
#.##.##.#.##.#....#.#.#..###.#..##.##.##.##.###..#.##.#.#.###..##.#########.#.#####.#.##.###...#.#######..##.##.#.###.#.####.##.######.##.#...####.##....###.#....###.####.#######.#.###...#...#.##.#.#.######.##...#....###.##......#.###.################.###.####.##.##..#.###.###..#.######.##..#.###..###..####.#.#.####.####.#.##.....#..###.#.##.#.#########.###.##.#####..#.#.#.#.....#.##..###.###.#.###.#.##.##.####################.#.##.#.#######...###.#.#####.#.####...#.########.###.##..###..##.#.#.#..##...#.#.#.###...#.#...##.##...#..#####..##.##..##...####.#....###..#.#..##.##.#.#.##....###.##.#.##....##..#.#.#..##...##...#.#.#.#.###.#.##.......####.#####.###...##.#....####.#.#.###.##..#.#.#..###.###.#..#####......##...#.#..#######....##.#...##.##....##.#.###.#.#..##.##.#..#.#####.##....##.#
#....##.#.#..###.####.##.#.#.##.#...#.#..##..###.#.#....#.#.#######............#.#######.####.##..##.#...##..#..#.##..#..##..##.####....#####.#.########.########...........#.##.#.####..#####.#.########.##....###.#######..#..#.##.#.#...########.#.####...............##.#.###.#...####.........####.##.#.##..##....#.##......#....#####.##..###############.#.###.#.##..##.##...#.#.#.#####..##.#.#..##.#..##..........#.##.####.#.#.#.............#.##...#...#.#.##.##.....####.#...##..........##.###.##......#.#####.#.#.#.#.#.#.#.###.#..####.##.#.##..##...#.##..###....##.###.#.##.##.#.......#.####.##.#.##########..##.#.#...##..######.....#.##############.###......#.#.....#########..##.......##.#..##...#.###...##.##..#.#######.###.#####....##.##.###..##.###.#..#.#########.#...###....####...##..##.#######
##.####...#.##.#..##...#.#.#..#####.#.##..#.##.#.#.####.....#.#.###.##.#.#.###....##.#.###.##.##.##..###..##.##...##.##.####....#..####.###.....#.#.####.#.##.##########.##......####.##.#.......#.#.#.#..#..#.##.........#####.#.#..#####...............#.#.#.##.######.##.#.#...###..##########.##.#..##....##.##.##....##.#.#...##.#.##.....##..##.##.#.........#....###....####.#.#.#.##.###.#....#.###...####.###.###.#.##........#.###.#.###.#.#......#.###...#.#...#####..#.#.###..###.######.##.#.#..#####.##.#.#.....#.#.#.###.#.#.#.##.#.##....#.###..###...###...####.##.#.#.#.#..##.#######...#.#...........##.#...##..#...####.###.....#.#.#..##..#.##......#.######.#.####.##..##.#...#########.##.#.####.##.#.###.##.#..##.#.###.....#.#.#.#.####..##.#.##.#..##....####..#.#......#.#.##.#####..#.#..##..#.##..#
######..#......##.####.....##.........###......#.#.##.#####.#.#.#.#############.###.....#..##.#..##.###..###.##.#....#...#.##.#.##.#.####.###.#.................###......#######..##...####.####.#.#.#.##...######.#.####...#.######.##.######.#.#.#####...#####..#...........###.#.#.##.#...##.#.##.##.####.##...######.########.###.#.###.##.#..##...#.####.#.##...##...####.#..#.#.#.#.....##.##.###.#.###.##.#####.#......######.#.....###.#####.#.###.##.#.###...##.##.####.......##.#.###.............##.###..#.#.###.#.#.....##........#....#####.#..##.##.###.#.##.##.............##..#..###....###...##.#.#######.###..##.#.#####....#########.#.##..##..##.###.#..##.##.#.#.#...##....###.##.##.#........#.#..#..#.##..#....##..#.#.#####...#.#......##.##.#.#....######...###.....##.###.#.....##.##.####.##.##.##.##
#......##.#.##..#..##..###.#########.##.###.##...#.##.#.....#.#.#.###.#.##......#.#.###.##.##.##.##.##..###..######.##.###.##.####.#.#.#......#####.##.##.#####.#.####.#.#.......#####.#########.#.#.#..###..###.#####.####...##.#.###.........###.#.....#.##....######.#.###.##..#.#.#..##.##.....#.##.#.#.....#..##.#..##.#.#.####.....####..##..###.#.#.#########.##.#......##...#.#...######..#..##.#.#.#..#.##..#####.##..#...#.##.#.##...#...############.#.#.#............##.##.......#..#.##.#.#.##..#.#.##...#.#.#.#######.#..#.#.##.####.#.#.#...##......##.......#.#.#########..##...##.####...###..###.#..#.#...###....#.#.#.##.###.##.#.##.#.#..##..######....##.....#.#.###.##.#####..##....#######.##.##.#.##..##.####..##......######.#...######..##.#.#.####..#...###.#######....######.###.##..##..##.#......#
#.####.#..#####.##.#####....#.#.#.##.##..#######.#.#..#.###.#.#.#.#.#...#######.#.####.....#..#......##.#.##.#.##.#..#.#.#.#####.........###.####.#..######............#.#.#####..#.#..#.##....#...#.#.##.####......#...#####.##.#.###.###.##.################.######...#.##...##.#.#.#.###.#..###.#......#####.##..#.##.##...#..#.####.##.#..##..##........##.#.....#..######.####...##.####..##.##.##.#.#...##..##..#.######.###.######.##.#.##.###.#..###.##.#...######.#############.#.#...#############.#...####.#.#.#..##.....########.......#.#.###.####.#########.###.###.##...##.##..###.....###.#.####...#.##...###.####.#.#.#.##..##.#....#....##.###..#.#.###.####.##.....##..#...#.#..######.#.#.##...#..#.#..##.##..#.#.###.####.#...##.#.#......##.#..#....#.##.###..##..#######.#..##........##.####.##...###.##
###....##.###......#.######...........##..###.##.#.##.####......#.#.###..##.....#.##.#####.##.######.##.#.##.#....##.#...#.#...#######.###...##...####....##.#.#.##.#.###########.#.##....####.#.#.........########.###.#.##..##.#.#.###...####..###..###.#..####.#...#.#.####........#.##..####.#.#.#.##.##..#####...#...###.##...........##.###.#..##.###....####.##.#####.#...####.#.....##.##.##.#..#.###.#..####.#.#.#........###.....######.#.#.##..........#.##..####....##.......###.#..##.##.##..#....###.##.#.#...#######.###.#.########...........#...#.##.#...#.####...##.##..#..##.##.##.#.#.#.##.###.#....####...#.....#.#..#.###.####.####.....##.##.#......#.####.#######.##.##.##..##..#...#.####.##...#.##..#..##.....###.##.###.#..#.#########.##.#.####.##.####....##.......##..####.######.####....#...####
#####.#####.######.#.#.#.#..##.####.#####..............#...####.#.#.#.##..#####.#..#.#.##..##.###.#..#..#..#.###.###.#.###.#.###.......##..#.#..#..#.##.######.#.####..##.#.......#.#####......######.##.#...##............#.###.#.#..#..###.###.#.##.#.....##......#####.#..########.#.##.#####...#####.....###.####.##.##....#####.#####......#.#####.#.####....#######..#...###......#.#.#......#.##.#.##....##.##.#.....######.#.#####..####......#..#.##.#########.#.#####..###.#.#.######.#..#...##.#.######.##...###..#.#.#..#.#...#.##.#.###.##.#.##...#...##.###.#..##..#....###.##.##.##.#....#.#.##.#.#...##....###.####.##.##.#.##..##...##.####.###.##.#####.##..#...#.#.#.......#..##..##.###.#..##..####....##.##..###.####..#........##.####..##..##......#.##.#.#..######.########..##...#.#.#..##..#.##.###..#
#.....##.#..#.##.....#.#.########...#.######.#.#.#####.#####.#......#.###..#....#.##.#.#..##..#.#.##.##.#.##.##..##..#..#......##.###.############......#..###.#.#....##..###.#.#...#.#.######.##.#.######.###..####.#####.#.##....##.#####......#......#.#.#####.#.#..#####.###........##.##..###.##.#..#.#...#.#.##.....####...##..###...#.##...#.#.###.#.#..##.##.##.##.###...####.#.#########.##.##.#.##.#####.#..#.###.#........#.####..#.#.####...#############.#.#..##.#.##.#######.##.####.###....#...##....##.##.#.##...##.#.###............##.#####.##.####.##..#.####.####............######......#.#.##.#########........#.#..#.#..###.#....##.#.##..##.####...##.###.#.#.#######...##..##...#....##..##.#..####..##.##.#..#.##.########.##....#.##..######.###.##.#.##.####.###.###....#####.#.#.#.##..#######.##.#
#####.#..##.#..#####.#.#.##..##.###.#..##....#.#######.#.#.....##.###.#.##.#.##.#.##.#.##.###.#...#..#........#.####.##...#########.###.##....##.######.##.#.###.##.#####.#...#####...#.#.###.......###.##..######.####.......##.###...##.####.#...#.##.#.#..#..######..##...#.######.#..#..##...#.##.########......####.###.###..####...#####..#...#.##....##.####.........###.##.#..#..#.#....#.##.##...##..#..#.##.#####.###.#.##......##.....#..#####..##.....#.#.#.#.##........#.#.#......#.......##...#..##.###........###.##.#.#.#######.##########....#...#...###.#.##.#.#....#.#####.##..#.#.###.##.#.#.#...#.##.#.##.#####...##.#...##.#####.##....##.##..#....###........#.#.#.#.###..##.####.####.###.##.##.#..##.##..#...##.##..#..###..##.####..##.#.##.#.###.##.#.#.....#.##....####...###........##.#.#.##..##.#
#.#.#.##......####...#.#.###.#....#.#.#####.####...........#####...#.......####.#.##.#.#...#..###.##.########.#..#.#.#..#..##.##.#...##..####........#..#.....##.######...###.#.....#.........#.#.#.....###..#.##...#.#######.##..###.##...#.###.#.#..######.##..######.####.#.#..######.#.#####........#.##...####.#.##.#.#..##.###...#######.####.#....##....#.#..#######..#...#.#####...####...##..###....##.##.#..##..####..#..####.#....#####.##.##..#######...#.#.#..########.#.#.###.##.#####.#.###.###..#.#.#####.####..........##.#.....##......#.######.##.##......#.###########....#####...#####..#.#.#.###..#.#..###.#.###.##.#.####..#.#...####.##..##.####...##.#.###.#.#.#....#..###..###.####.#......#....##...##.#.####..##.##.#.##.#....###.##.#.##.#...#.##.#.##.####.####.###.#.###.#.####.#.#..#.#.##.###.#
#.....#####.#..#.###.#.#.#...####...#.##.####.###.#.#.#.##.#.....#.#######.##........#.###.##.#......#.#..###.#.##.....######.##.##.##..###.########.##.####.#####......#.#.#.#.#################.#####...#.##..###...#.......###..#.....#....##########.#.#.###..#.#.#.#....#.##........#.#.##########.#..#####.......#.#.#.##....#######.#.###......########...######...##...#.#.###.#.###..###..#.##.#.##.##.##.#.##..###.##.##.#######.#.####......##..##.###.#.....##..###..##.#.#..##.#........#...###.##.#.#..#.#...#.####.####.###.#.##.########...##......#.##.#.#.##.##.#..#.#.####....##.#....###.#.#.#..#..##.#.##.....##..##.#....##...###...##.#..##..##...#########..#.#.####.#.##...##.#.#......####.##.###..####.#..#.##.##...........####...##...##...###.#..#.##.##...#.#...#......#.#..#.######.#.#.##...#.#
###.###.....##...........###..#.#.#...##.#.#..#.###.######.#.##.##..##......#####.##.#.##..#..##.###.....##......####.##.#....#...#..##.##..##....#.....##....#.#########.#.#####.##.###...########.....#......######.#######...##.##.######.##.#.##..#....#.#.##.........##......###.##...#.#.#.#.##.....##.##..#####.....#.#..##.##......#...###.####........#####..###..#####...#.#.....##.....##..#...##.##.##.#.###.##...#.####..#..#####....#.##....##....###.###....##.##....#.##.##################...#.#.#.##...###.##.####.#.#.#.###..##.##..########.##.#..#####..#.##.##.#.#......##########.#.....#...##.##..#..##.##....##....#######.....#..#.##.###..###.#.#.#.#.#.##.#.##...#..###.#..#.###.##.###.........##......##.##..#########.#.#..###..#.######.#.#.##.#.##.###.##.###.#.##.#...#.##.##.##..#.#.#..###.#
#.##############.#####.#..###.#.#####......##.#..#####.##..#.#..###....####..######..#.###.##.####.####.########.##...##.####.###...##..###..##.#.#####.####.##...#....#.....#.#.........#....#..######.######.##.....#.###.##.##...######...##....##.####.#...#####.#.#.####.#.#.#....###.....#.#.####.#..#.##.##.#######.#.##..#########.#.###...###########..##.##.#.##..#..##.##.###.########.###.#.######..##.#..#..##.#####.###.##.......##.#######..###.##########.##..##.##...##.#.##..##.#...#.##..#...#.#..###.#.#.#..##.#.........#####.###......######.#.###.#..##.#.......#.###.##..##...##.#####.#.####.##.##.#########.###.###.##.#####.###.#.#...##.##.#.#.#.#.#...##.#.####.#.##...##.#..#######...###.#######.##.###.#..###.#.#.#..###.##.##.#...##...#.#.##.#.#....#.##.#...####.##.##....#...##.#.#.##..##.#
#..#..#...##.######....##.....#..#....##.#....##.#.##...#.#####..####.#####.##...###.......#...##.........##.##...###..#.#.##..###.##..##.##.####.#...#.#.#...###.####.#####.....#.#.#.#####.##.##...#..##.....######.#.#.#.#...###.##...###.#####....#.#..###..##########.####.####.#########.#.#....#.##...####...............###..........#.#####..#.###....##..##....##...##..##.#.....#.##....##.#.#.#..##.#..##.##....##.#..#....#######.#..##.#.##.##.#..#.#........##..######.##.#.###.#..#.#.#.#..####.#.##.....#...##..#.#.######.##.#....####.##..........##..##....#.#####.###.#.#..####.##........#..........#..#.#...........##..#.#.#...#.....##.##.......#.#.#.###..#.#.#.#....####....#.##.#.#####.##..#.##..####.##....##.#.#.#.##..##..#.#....######...#..#.#...#.##.#....####.###..##.####.####.#....##.##.#
##.##.###....#..#.###.###.###.##.############....#.#..#####...####.####.....##.#..####.###.##.##..#.#.#.#..#..##.##.#.##.#.##.##......##..#..#.#....#...#.##.###....#....####.###########.......####.#.#######..............###.#.#.####..#...#.###.#...#.##.#.##...#.#.#.......##.###.#.##.##...#.##.#..#.#..##..#.###.#.#.###...##########.#...####.....##.#..##..####.####.###....#####....####.##.#.#...##..#.##...####.##.##.####.##.##...#.##.......##...##.#######.####.##.#...##...#.#...####.#.#######.#.######.#.#####.#.###.......#.####.#.####..#.######..##..#.########....#....#.##.#..##.####.#...##.##.##.#.##.#########.#..#.##.#.#########.#..####.#.#.......####.#.#.#.####..###.##...##.#.#..##.###.#..#.###......####......#.#..####...##.#.##.#.###.#.##.#.######.####.##.#..###.....##...##....####...#.#
#..##.#.##.#.##.......##..##..##.#.#.##..#######.....########.#.........###.#..##..###.#.........####.####...###..#.#.#....##..######..##.#.##.####.###.#.#....####.#.##.#..#####.####..#####.#.........##.####.#.#.#.#####.........#..##.##.##.#.#####......#..###.#.#.##########.............#.#.#..#######.#############.#...###.#.#........###....#.#..####.##.##......##..####.##.#.##.###..#.##.#.#.#####.#..##.###...##.##.#........##############.#..#..#.#.####...#....#.###.####...##.##.#....###.#.#...#.##......#.#....##..#.##.##.#.#.......#######..##.####...#.#.##...##.###.##.##.#.#####.####.####.#######....####.#######....#.#..###......#.##..###.#.#.#.#........#.#..##..##.######..#.#.##.##.#.#.#.##.#.######.#..##.###.....##.##.######.##.#.#.#.#.##.....##.........#...##.##.#####.#..#.####..##.##.#
##.......###.###.#.##..##..##.##.....##.##..########..#.#.###.###.#.###.#.....####.....##.#.###.########.###...##...#.#.######..###.#.##..#.#..##.####....##.###....####.#.###.....#.##.......#.#.##.#.##.......########....#######...##...#.##...##########.##.##....#.##..##...#########.#####.####..#..#....###.....#.######...#...###.#.##.##..##.####..#......#######.##.##..........#.#.##.#.##.#.#.##.##.#.##..#.##.##...#.######.####.#.#...##......###.#.#.#..###.####........#####.......##.#.#.....###.#.###.#.#...####.#######.....#.######.##.#.#.#.###.#.####...#..######.#.#.##.#..#.#.##...##.....###.#..##.#.##........##..####.##.#.######.#..##.###########.#.##.#.....####.##.##.#.##.#....#.####.#.........##......###########.##.#...#.##..##.#.#.#.#..##.#######.#####.##.##...#..##.####......##.......#
#######.###......###########..######.#..###.#........##.#.#....######.#######.##...#.######...###.#.#..#.....######.#.#..#.##..##.#....##.#.#.##..##...##....#.####.##...#.#.#####...#..#.#.#.######.#.###########.#.#.####.#.......#..###......###.#..#####..#.#####.#..##..###..##########.#....####.##.###.##.###.#......#####.###..##.###..######.##.##.######.#.###......##.#.####.#..........##...#.##.#..#.#..##.##.#..#...#.#..#.##...#.###..########...#.#.#.###..#..########.#.#.##.####.####.#####.....#..######.#####....##.#..##.##..##.#..#........##.....####.##.##.##.#.#......##.#....##.##..#######.#.##..#########.#..##..##...#.#.##.#.#.##.##.#..#.#.#.#############..##...#.#..#....####....##..###.#.###########..#.#..###....#.###.#..##.##.#.#.#...###..##.#.###.##.....####...###..#.###.#######.#####
#........#..###.###.##.#...##.#.####.##..#..########.##.#.####..##.....#.######..#.#.###.#..###...#.##.#####..##.#......##..##.##.####.##.#.#..##....#####.###..##..#..#.........###.###########.#.#####....................###.##.###.####.###..#..##.......##.......##.##.##.#.##......##..#.##..##.....#.#..#..########.##.....###.##..#...##.##...#............#.#.###.##.#######...##########..###.#.##.##.....###.##.#####.##.##.#..###.....##......#####...#...#.##.#.######.#..#...#####...#.#........###.#.##.......##...#.##..####..###.#..##.########..####.##.##..#..#.#....#.####..#.#.##.##.###.#.#.....#..##..####.######.#..##..###.#.#.........##.#.##.#.#..##.##.##..##.###.###.##.####.######.####.#.#.###....##.##..##.#.##.###.##.##....##..##.....#.#...#.###...##..##.###..###.####..##..##...##.##...###
#.#.#.##.########.#.#..###............##.##.##.#.#.#....#.#..##.#..###.......#########.....##.#.#...##.#.##..##..##.######.##..##..#...##.#.##..##.####.#....##..##...##########.#.#.#.#...#.##....##.##.#.#####.##.###.#.###....###........#...##.####.####..#.#####.#..........######.##..#####.##..###.....##.##.#.###..######.#.#.#######....###############.#...#..####...##.#...####.##...#..##.#.......##.####.#..#...#.#.##.#..#.##.#####.####.#.##.....#...#.........#.....##.###.#.##..#.....###.#.###.....#.####.#####.#####.##...##.#.##.#..##.#.#.##.#.##..#....##.##.####.###..##...####.##.#.#.....###.#.####..##.....#.#.##..##..##.....###.#.#....#.#....#.##..#...##....##..##..#..##.#.#......####.#....##.####..###.##.#.##.#....#..####..##.##.###...#.###...##.##..#######.##....#.##..##..#.###..##.###.#
#######....##.###.#.##.##..#.#.####.#.......##.#.....##.....##....#####.##.#..#.#.#.#..#.####.####.##.....##.###.#..#.##....##..##.###.#.....#.#####..#.###.##..#######.##.###.#.....#.###...###.#..#.################################.#.######..#.#######.##.####.##.#####.####..#.#...###.#.#....####.###.#.....#.#.....##...........###..####..##..###.##.#...###...##.####.#..###.###...###.##..#.###.###......##.##.###.....##.##......#........###.######.##.###.##.#.#.#####....#......######.#########...#######.#...##.#..##.#.##.#..#.#.#..##..#........#.###.####.##..#.##...##..#####..#.#.##...#.#####.###..#.##.######........###.#######.#...#.####.#.####.#..##.#.#....##..##..##.#.##....######..##..####.##..##..##.#......##.###.##.##..##.##..###.##.######.###..###....##.#..###.##..##..##.#...##..#.#.#.#
##.#.#..##.#......#..#.#..####.#....#.#####.##.####.######.######.#.....#..##.........##.##.#.##.#.######..#.#.#...##..##.#####.#...##.#####.#..#.###........##....#.#.....#...#####.#.#.##.##.####.#...##......#.#...#####..#.#.#..#..#########....##.........##...#.##..#######.#.###.#.......##..##..#.######.##...###..#########.###.#.##....##..##.#.##.###.#####....#.##.##..####.###.###.###.#.#.###...######..##...#####.....##.###.#######.##......#.###...#########..#.#####.###.##..###.####..#######..#..##....###..##.##.#..####.#.#.#.####.########...#.#...##.#..##..###.###..#.###.#.#.#..#...#.##..##..##.....##..########.##..##..#.####.######..#.#.#..#.##..####.#####..##.##.#..####.###....###.##..#..##.###.##.##.#####..........##..#.##.###..#..#.##.#.#.##.#.###.##....##.#..#.##..##..#.#####.#.#...#
#......###.######.##.#...##....#.#.####..........####.#......#.###########..##.##.###..###.....#.#..##.###.....#.####.##....#.#.###..#.#.......##..#######.###..##...#####.###.#.###..................#########.#.###.#.#.##.#.#.##.####....#.##.##..####.###.##..#....##.##...##.#.#.#.###.######.####.#..#.#...######.##............#..#..####.###..........##.#.....##.#.##..##.#.#......#.#...#.#...##..#.#...##.####.##...###.######...##.##.#..######...####.##.#.##.###.#.#..##......##......#...##.#.####.#.##..##.#.#.##..##.##..#.#.#.....##.#.##.####..#...##.##....##..##.#.....##.......#.######....##.###.####.#.#..##...#.#...##.##.##..#...#.##.##.#.#.##....##...######...##..#....####....##.#.#....##.##.#...##.##....#.#.#.######.#####...#..#.##...##......#.##.#.##...###.##....##..##.###.#..#.#......###
#####.##......#........######.######.#######.###.#.#..##.##.##.#.#....##.##.##.##.####.#######.#.##.#...######.#.##...###.###.#...##.#.######.##..##.........#######.#.#...#...#.#...#.#.##########.###.#.##..........#....#.#.#.#..#######....####.##..###...##.###.#.....###.##...#....#####.#....##..##.#.###...##...####.########.##.#.##.##.#.##.###.###..#.#.#####..#.##.##..#.######...###.#...#####.#####....#.##.####.#.....#.####.##....##.##..####.#.####........#......########.#######.###.#....#....#..####.......##.##.##.##.....###.##.#.#.....######.....####.###..#.#.###.###.#.##.#.###.#..#.###..#...#####.##..###...###.##.##..##.#####.......#.#..###.##..###....###..##...#####.###.#####.###.###....#.###...###.##...#####....#.#.###...##.#..###..######.#....####.#.#..####....##...##...##.##.#######
#..######.#.#...##.#.#..##....#.#.##.#.#...####....##.#####.##...####..#..#.#..#..#..###.#####......##.##........###.##....##.##.##..#.#.#.##..##.#####.#.##..##.....#.###.###...#####.#####........##.....##.#.###.#...##.#...#.##.#...######.##....##.#####.###########.##...####.###.##.#.#.####.#..##....#.#.######.#.######.......#....#.#.....##########.##########.#.#...##...#.#.####.....###..##.#..#.#..####....#.#..##.##.#......#####.##.#..##.#....#.######.##.###.##.##..#.####.###...#.#.####.####.##...###.####.##.#...#..#######........#####........###...##.#.##.#.###.#.#.#.####.#.#.#.##.###.##...###.##.....##.###.###.##.#..##..##.###.#.##.#.#.##....##.#.###.##.#.###.#...##..#.#.####....#.#.####.#.#.##.##.#....####..####.#.#.#.##.###.#.##...##.###..#.####.#......##.##.##..###..###.#.......#.#.#
##.#.#.#..#.#.#..#.####.####.##..........#..#.####....#.#....###.#..##.##.#########.##.......####.#.......####.#......##.#..#.##.###.#...#.#..##.....########.######...........#.########..#.#.####..###.#.###########.##..###...##.#.#...###...###.##....##...##.#.#.###.####.#....#.#.##......###.##.#####.....##.##.........#####.#.#.##.....###.##..##......#.#...........#..###.#.#.#..#####.##..##....##.##....####.#.##..#..###.####..#.......##......##.#.#.#.####....#.#...##.#.#.#..#...#................##.##...##...##.#.#.#.##.#####.##.###..##...###.#.######..#.#.##.#..##.....####.............##..###......#.#.#.....##.#.#.##...##..##...#######.#...#####.#....##..#......#.#.###..##....##..##......##......##.##.#.#####.##....#.#.#........#.#..##.###...##....##....###.##..##.#####.#.##.....###.#.....#
#........######.####....#....###.#.###.####.....#####.#.###.##.#.##.##.##..##...##..########...######.#.#.####.###.########...##..##.###.#.##.######.#.#.#....#..#####.#.#.##.##.....###..##.####...##.###..#####.########.##..#....#.###.#.###.##...###.##..###..#.#......#.#.####.#.#.##.##.###.#.##..#.#####.###.###.#.####.##....#...#..#######..##.#######.#.##.#.##.#####.####.......##......#.######.##.#..######..#..##.##..##.#####.#######.######.###.#.#.#.#.#####.###.#......#.##...#######.#####.#.##.......######..#...#.#.#..#...#########.##.###.######..###.#.#......#####.#####..##########.##..##.##.#####.#######..#.#.#..###..#.#####.#.#.##..##.##..#....#.####.#####.####.#.##..###.###########.####.######.......##.#.#####.....###.##.###.#.###.#.##.##..##.####.##....##......#.#.#.#####.##.#####.###
#######.##.#.##.##...#.##.##.#...###.....######..........##......##.#..###..###....##.#....##.##.#....#####..###.#.##.#.#####.##.###............####.#...####.##.#.#####.#.#..#..#.#.....#######..#..#.##..##.#.#.#.##.....#######.#####........###.###...##...##.#.##.#.#.....##.....#.#####.#.#.#.#..##..##...#.#..#######.#..##.####.######......##...##.#...#..########.....##.###.###.#######.#..##.##.##.##...##.##.##.##..##..#.#..........#..#.#..#.#...........#.##..##..#.####.#.###.###....####..#########.#.##..####.##.####.##.##.###..#..##.######..#.#.##.#.....####.####.#......##.######......##..#.##.##..#####...##.#.....##.##...#.##..#....##.##..##...######.##.##....####.#.##.##....#.##.##..#..#........#.##.#.##..#.#.#.#.#.#####.#...##.#..#..#.......#####.########..#.######.......##......#.##.###
#.......#.......####.#.#..#..##.##########.####.########.#######......##.#.##...##..#.####.....#.####.##.###.##....#.....##...##.#.###.#.#.###.##....#.#..###.#..#...#####.##.##.#.##.##.#..##.#####...###......#.#.######.#.##.##.#.#.########..##.##..###..###..#..#########..#####.#.#.##..#.#.#...###.##..#.#...##.#.##..#.######.###.##.######.#..#....###.##.##.#.#######.##.#.###.#..##.......###.#..##.##.####..#.....##.##.#############...##.##.######.##.###....##..#.##.#........###.####..#.##.##.#.##.#######.#.#...#..##..#..##...##.##.#..#.#..##..........###.##....#.#.##.########......#.##..##.#.##..##..##.###.#..##.##..#.##.###..##.####..#.###..###.###.##....#####..#.#.......####.#..#.###.##.###.####.####.#####.#...#.###...#.#####.#..#.##.##.#####..##...#.#.#..##........##.#.####..###.##..###.#
##.##.####.##.###.#..#.##.##.##.#.............####...##..#.#.######.#....#.########...##.###.#...#.####....#.#..##.#.########..#....########....####.####.....##.#.###..####...########....##...##.##.##.###.##........###.#.##.#..#.#.#.###..##.##.##.##.##.#.##.##..#......##.##........###.#.#.###.#.#.#####.###.#..#.###.#..#.#.#.##......##.##.######.###..........#.##....##....#..##.#####.##.....##.##.#...#.##.#####.##.##.#.#..##....####.##..#.###.#..##.######.###.############.##....#.##...#........#.##.#.#......#...####.#.##..####.##.##.....####.#.##.####......##.....##...##.....#.#.######....#....####.##.###.##..#####....#..##.###..####...#.##.#.#...#..####.#.##..##.###.#####.##.##...#....#.##.....####....#.#..##.##.##..###.###.#.##.#....##.##.########.....#.#####.#########.#.#..#######.###..#
####..#....#..#.....###########.#############.##.###.###.#.#.#.##.######.#..##.##...#....###.##.##..######...##.#....##.##.###.#.####.##..####.##.....#.###.#........##..#####.#.....#####..##.##.........######.#####........#.##.#.#.#.#.#.###.#................###.#.####.##.#..######.......#..##...#.#..##..#..#.##.#.#.##.#......######.#..##.#.#.#...#..##.#####....####.#####.##.##....#####.#####..##...###.##.##.##.##..#.#...######...##..##.#.#.....#####...........##.#.#.###...####....###.##.#####......#.##########.#.##.#..##.#.#..##..#####.#....#..###.####.##.#..#.####.########.#####....##.#...####.#..#....#.##.###..####.##.##..#..##.####......#...###.##..#....##.#..###.##..#.#...#.#.####.#.##.###.###..#.##.#.##..##.###.#...#.#...##...#####......###.#..#.#....#.##....#.#.#..#.##..#..#.#.#.#.##
#....##.#.###.#########.##.##.####........#......##..........#.#...##......##...###.###.##.###.....##.##...#....##.#....##.#...#.#.##..##...#...#####...#.########.####.##.....##.##...#...##...###.#.###.#.#.######...##.###.#...............#....#.#.###.#.##.#.#.#.####........##....#.#####...##..#.#.#.####.##......#.#.##.######.##.#.#.##.##.#.#.###.########....##.#.#........##.####.##.#....##.##..###...#.##..#.##..#.##...######.#.#....###.#.###.#.#.#...#.#######.##.#.....#.###....##......#.#.....#.##.#.#.##..#....#.#....###.#.##..##.###...###########.#....#####.###.#..#.#.##...########....###..#.#.##.####........##.#.##.#...##.##.##.#..####.#.###..##..##.#.##.##.#.##....##.#.##.####.#......#....###.##.#..#.#.##.###.#.#.#.###.###....#..##.#.######.#.#######.#.#.#..#.##.#.##...#..##.##.#.#....#
####.##.#######....#.#..#......#.###.#.##...#.##..##.#.##.##.....#..######..###.....#....#..####.###.....####.###..####.##.###........#####.##.##.#...#....#...#...#..#..#############.###..##.##...###...#.#.#.##.#####..##....#.###.#.###.#...##.#.#.#...#..###......#.##############.###.....#....##......##...####.#.#.#..#.##........#.......#...#.##...##....####.##...########.#.......##.##.###...##.....###.##.##.###...####.#####..######.#.........###.##.######.#......#####.#...############.######.####......###.####...###.##.#....##..#...###.##..#..##.#.######.#.#..##.##.....###.##.#.##.####.##..##.#.##.#.##.#.######..#......###...#..#.##....#.#..###..##..#.####.......##.#..#....#.#.#..####.#.#.#####...###.##.#.##.##..#.#.#..##..##.#####.##.....##.#.#.#..######.#.##.####.#.####...###..#.....####
#....#..##.#.#####.#.##.######.......############....#.##.#..##.###........##.#.######.#...##.#....########.###...##....##.######.#####.##..##..#.#.######.#.#.###...##.##...##.##..#......###.##.#.#####.#........##.##.###.#.##.#...#.#...#.#.#..###.#.#.####...####.#.#.#######.#......###.#.#.##.##.#.##..##.#######.#.##....##.#.###.#####.#.###.#.###.##..##..##..####..##.#.#....#.#.#........###.#######.##..#..##.#.###.#.##...##..###.##....#.#.##.####.####.##.....#.##..###..#.###...#.##.#....##.##..########.#...##...#......#.##.#.###.##.##.#..##.#.##..#.#.###......##..##.#####.####...##..#######......##.#..###...##.##.######.#.###...##.#..##.####.#.#.####....#.######.######.###.##.#...###.###.#..##.##.###...#.#..#..##.#.#.#.###.#######...#..###......#.#.##.#.#....##..##.....#.##.##...##.###..#.#
#######.##..................####.#.#.#..........#.##.#..#############.#.##.##.####.#.####.##..###.##.##.....#####..####....#.#.##.##.##.###....##.####.###.###...#.####..###.#..###.######.#...####.#.#...########..#....##..#.##.#.#.#.#.#.#.#.##.#...#.#.#..###..###...............###.##...#####..##.#####.#..##...#..#..####.#######........#...#..........####....##.###........##.#.####.#####.#.#.##.#.#...##.#.##.....##...####..##.#.#..#############.....###..###########.#.##.....#.#....#.###.###.#####.#.##...###....########.#.####.#.......#.#.##.....##.#...#.###.##..##..#.#.###..#.###....##.##..##.##.##..#.######..#.#....####....####....####...#.#.#.#.##.####.#.##..##.#.##...##..##.###.##..##..#.###.#...#..###.##.#.##..........#.##.#..###...##.##.#####.#.##.....##.##.#######...##.##.####..#####.#
#.......###.##.##.##.##.###....################....#.##.#.......##.######......##..#.###...##.#.#.##..####.##...#########.##.......#.##...####.##.##........#..#....#.#.##.#...##....#.....##.##.####.###....##.###.########.#.########.#.#.#.#.######.######.#...##...#.#.##.#.#######...###################.#.#####.##...##.##.#.#.#...#.##.#.#.#...##########....####...#######.#..###.###..#.....#.#.##.....####....#####..#.#.#.##.##..#.##.#....##...#####.###.#.##.###.......#.#####.#######.#.#...#.#.#.##.....###.#####.##...........##....##.##.....####.#..#.###.#.#.###..####...#...##.......##.##.#..##...#####.#....##..##.##.###....##.#.###.#####..###........#.##.....###..#.#.####.###.....#.....####...#.#.###.##..##.##...#######.#####.##.##.#...#.....#######....####.##......##.#.#.####.##....#.##.##..#
####.##..####...###..#..#...#####.#...###.......#.##..#####.##.##....#.#..#.##.###.....###.#.......##.####..###..###...#..#######.##..##.##.##.##..#.###.##...###.#.....##.###..####.#####..#.#...##...####.##...#...#.##.######..###############.#.#..#........#.####.######.#######.##.#####..#...##.##.##....#####....#....##.#.#.#.#.#.##.#######.##....#.####.###...#...##....#.######.########.#.#..##.##..#.#.##...###.####...##..##......###.##..#...........#.##...#######...#......##.......###.#.#.#..#####.##........##.#.######.########..#..###....####.#.#.#.#.#..###.##.###.##.############..#.##.#..######....####..###.##.#.######.....##..##.##...######.###.##.###...##.#.#..###.#.##.##...###.##...#.....##..#..###.####.#.##..#....##.#..##...#.#.#.#..#....####.#..#########.##.#....##...#.####..#.##.##
#....#####.#..#############.##.#..###.#.####.##.#..#####....#.....##.#.##.###...######.......##.##..#.#..##.....##.###.##.#.#.....#..##........#..######.#..###.###.######.##..##....##..##.....###..#..#.#.####...#......#...##.##.#.##.#.#.#.##.....##.#.########..#.##.#.#.###.........#..##.###.##.......##..##.###.#####.#......#.#########.#....#..##........##..#####....#.####...#...##.#.##.#.#.######.##.#..#####....##..####.####.###..#...#######.###.##......#####.#...#...####.####.#.#...........##.#.#..#.##.#.#..######......#.#..###.#########.##.....#.#.#.##.....##..#..#...####.#..#.##........##.#.#..##..####.#.#.##.#...##...#.#....###..#.#.#....#.#.#.########.##.#.##.....#.#######.#....###.####.####.##.....#.##.#..##.##.###..#.#####.########...#####...#.#######.....#.####.####.#......##.##..#
###.##.......###..####.#.##.##.##.#..........#..#.####...##.####.##..#....##..#.#.##.##.#.##..#####.#.##..#####........##.#.#####...#######.##...##.#..######.......##.##...##....##.###.##.###.#.##.##...#.#.##.#.##.#.#.###.#..#..#.##.#.#.#..#####.####.#...#.###.####...###.########.##.##..###..####.##.#..###..####.....#####.######.........##.##.##.##.#.#..#####....##.########...###....#..#.#..#.#...#....###.#####..##.#.#...#.###.##...#..##.#.###.###..##.#.#.#.....###.#.####......#.#.#######.####.#.#.#############.#.######.#.#.##.######.#.....#####.#.#.#..#####..##.##...#..#.#.##......####.#.##...#####.##.##.#.#.##.#.######.######...##.#.######.....#.#.##.#.#.......#####.#.#.##.#######.###...####.....#.###.#.##.##.#..#....#.##.#.#........#.#####.#.###.#.##.##.#####.#.#.#..#.#....#######..#.##
##############.##.#......#......#.####.#####.#.##..#.##.#####.##.###...##..####....#....#####.##..#......##..#..######..#.#.##..###.....########.##...###.#########....####..#.#####.#...#####..#..######.....###########.....##.##.#.#........##.###..#######.#......#.##.###....#............##.#.##.####..##...#.##.####.#..##.#..##..########.##...#.###############..########.#.#.###.#.####.##.#.##...###.##.###.#.#..#..##..#.#.###.##.....####..#.#.##...###..###.#.##.#.###..#.#....#.##.#########...###..#.#.#.#..#.#.##........###.#...##..##......#.#.....#...#.##..##.##.##....######.#.#########.####.##.#.###.#.##.##.#.#.##......######.#####.##....#.##..#.#............####.##.##....#.##.#.#..#......###.#####.##.###.#..#.##.##...####.##...##.#######...##....#.#.#.#...#.#.##....#.##.....##.##....##.#.##
#.##.#####.###.##.####.#...#.##.#.##...#.....####.##..####.......#...#..####.###.#...######....##...##.#..##.##.#....##......##.#.#.#####.###.##.##.####....#.#####.####.###.######..###.#.#.##.#.##########.##..###.#.######.........###.#.##....#...##.###.#.######.#.#..##..##...#####.##.#.......#.#..#######.#.##..######....##..##.#..#.#....#######.##.#.#..##....#####.##......................###.##...#..#.#...##.##.###.#.....#.####.#.#####.#.#..###..#####......#####...#######.#.#..#..##...###...##.......##.#....#####.##.....#.####.#####.##########.###...#..##.....#####....##.....#.#.##...#.#..##.###.....##........##.###.##..#............####.#..######.#.#.#.##.######...####...##...##.######...#.#..#..#..#.####.#.....###.......#.#..#...#..##.###..####.#...###.#....###.##.##.#.#.####..####.....#
#.#..#.........#..###..###.#.#....##.####.##.#....###..#.##.##.#.##.######...#.#.##.#####.###.###########.....###.##....####......#.#.##.......#.##.##.####.#.#.....#.##.#.#.##...##.#.#.#....#...#..##......##.##..........#.#.#.###...#########...###..#.....#.#.##.#.#.####.##.#.#..####..##.#.##.#.#.##.#.....#..#.##.##.#.##.##.##..##...######...###........##..##.#......#########.####.#.#####.#....###...##.#.####.##..##.##.####......###.#.....##.####..##.##.##.##.....###.#.###.#######....#..####.######.###..####..##.####.###.#..##..##.####.#.#......#####.##..#####.#...##.########.#....##.##.##.#...##.##.##########......#####.##.#.#######.#....####.#.##########......####.##.###..#.###..#......#...##.##...##..#.#.###.#.....##########.##.##.###.#.##..##..##.###..####.##...#.#..###...###.##.#.###.#
#.##.#########.#.##.#############.#####...##.#.##..###......##.######.#.#..#.....#..##..#.#.####.#.#.##...###..#..#..#######.####...#.###.####..........##....#####....#.#....###........####.###...##..####.##.##.##.#####.########..#########...#.####...#.#..........#.#.##########..######..#.#..#.#.##.#####.#.##.##.##.###.....##.###.#....#####.#.########..###########.##.#.#.#############..#.###.##.###.#.....##..##.##..#.....#.##.#####.#####.#..#..##.##.#####..###.#.#.........##..#.##.#.##....#.#.#.....###...###..#.##.####....##..##...##....#.#.##.#.##..#..##.#...#.###..#.####.....####..##.#..#.#######..##.#.##...##########.#######......##.###.##.#.#.##....####.####.#.....####....###.##.###.#####..##.####.##....########........##...#..........###..##.##.#.##.##....##.##.##.#######.#.##....####
#..#.##.....#.........##.##...###.......#.#..#.#..##.#.#.##.#..###......####.###.##..##.....##..........######.#.###.#........###.#....#####.#.##.###########..##.####...###.##.###.#.##..###..##.#######....##..######.....##.#.#.#.##.#.#.##..#####.####.###.#.#.####.....#.#.#..#...##......#####.....#..###...#.##..#.##.#######......#####.##.##..........##.####..##.....##.#.#.#.......#.#.##.#.#....#..##.#.##.####.#...##.##.#######.#.....#.#.#.##.##..#.##...#.#.##.#############.#..##.##.#####.#.....###.#...##.##.##.......#.###.####.####.#####.#####.....##.##.#..###.#..###.#..#.#####..#.##.##.##.#.....##..##..#.###.##.#....##..#.#.#.###.##.#....#.........##.#..#.#..#.#.#####...####.##.#.#####..##..##..#..#.#.###.###.#.##...##.#.######.#.####.#####.#.##..##.......####....##......##.#..#.##.##....#
##.#.######...#.##.##.....###.....##.#.##.#.##.##.#....#..######.######.####..########..#.#..#####.##.#.#.........#####.#######...####..##...#.#.......##...##.#...#####.#.#........#.#..##.##..#..##...####..#.###.#####.#....................##.....#.##############..###.#.#.##.###..#########....###.##.#.###.#.###...##.#.......##.####.......###.#.###.#.#..##.##..###.#..#.....####.##......#.#.####.##......##.#......###..##..#.##.#######.............##.#..#......#.####.#.....#####.....#####.#######...#####.....#..#######.......#.##...##.#.#.#..#.#..##.##.....#.##...#.##.#.#.##.#.#.##.#.##.#..##.#.#####..####.#......#.#.######.#.#.......#..####.##.###.########.....##.#.##.#..###.#...#.#..##.##..##.###...##.#..##.#.#.#.####..#########.....#######.#.#..##.#####.#####.####..####.####...##..#..######
##..........#.########.##.....###########.#.#...#.#.#.#######....#.##........##........#####.#.##..#..######.###.##.....#...#.#####..#.#####.####.##.#####.##....###.##..#.##.##########..#.###.#.####.##.###.#...#.#.#...###.#.#.##.###.#.#.#..##.##...........#.#....####.#.#.#......##.....#.####.#..............#.##.##..#########..#..#######..######.###.##.....##...####.#####..#######.###.............##.########.####.##..#.##.....##.#...##.#.####.#..#.#########...#.#..#####.......#.#..##....##.....#.##.######.##.........#.#.#...##.####.#.#.##...####...#####.#.####...##.....##.#.#......##.##.#..#.#.##..##....#####.##.#...##.#.#.##.#######..###..###.#.##.##....###..#......##.#.#...#.#.#.##.....###...##.##..#.###.#.#.#..###.####...##..#.#....##.#.#...##...###...##...##...####..##.#.#####.#.#######
#..#.##.########.###.###..###.##....##....####.##.#####.....####......#.####.##.#.#.##..##........##.###.#...#...###.######.#..#####.#.#.##..##....#...##...####.##...##.#..#.#....#.#.##...#.#....##..#......#.###.#.###.#...#####..##..#.#.#########.#.##.###...####.##.......###.##.######.#.#.#####.#.#########...##.##.###.#...###...##...#...##.#.#...##.###.##..###.###..##.###.........###.##.##.##.##.#...####.#..#.#..###.#..#.#####..###..###########....##.##..##.##.##....###.####.####....##..##.#.##.##.#.#.#..##.#########.#####.....##..#.#..###...####.###......#...########....#.#####.###.##.##.#.#..##..#.##...##..#..#.####.#.#.####..#####.#.##.##.....#..##.###.##.######.##...#####...#.######.#.##.##..##.##.##....#.##.#....#.###.#..####.#####...#.#..###.#.###.####.####..#.##.##.#.#.#.#.........#
#.##.####.............###..######.#....######..##.#...#####.##.##.##.####.############.######.#.#..###.....#.###...###........##............#####.#########.#.##.####.##.#.#######......###...####..##.######....##.#...########.#####..######...##.##.##########.########.#.##..####...##.##.#.#.#.#...#######.#...#.......##..##.##.#.######.###.##.#.###.#..#.####.##.#.#.##.##.#.##.####.###....####.#...###.#..##..##.#.##..#....##.#.#.##...#####..........##.##..#.##......####...#########.####.#..########.##...#.##.######.......#.....#.#..##.#...##...#........######.###..#.##.#####.#.#.#...#...#...#.....##..#######.###.#.##.#.#..#.#..##..##.#.#.........#.###.######......##.#...##.##...###.#.#...##.#.##..##.##.....####.#.##.####.#..##.##.#.####.#.#.#####.##.#.#.##...##.......##.#..##.#.#.....##.#.#.##
######.####.#.#######.#.####..#.###########.##.#####.###.....#.########.....##.#.#.#.####.#.#####.###..##.##.##..########.###..###########.##..##.#..####.#.#.#...###.#..#..##.#.###.##...###...###.##..##.#..####....#####.#.....#######.#.####.##..####..................#####.#.#..#.#.........#.###.#.......##.######.#####..........##....#.#.##.#.#.#.##....#..........#........###....#...#####...##.#######..##.......##.###.###.....####..##.##.##.#######..##.#.##.##.#......#####..##.#.#.#####..#.#.#....###.#.##.#.#....#.#########.####.#..###..######.###.#........####.#.#...#.##.....###.###.#.###.#######..##...........##...##.....##..##....##.##.#####.##..#.##.#####.##..###.....##.####.#.###.##.#..#.##.....##.##.#....#..##.#.#.##..#....#.##.......##...#......##.#########.#..##.#..#...##########..#
#..##...########.........#.#.##..#...##......###......#..###.#.#.##.#.#####.#......#..##..........##..##..#..#####.#......####.#.###........#.##..#.##.#....#.##.##.#.##...###.#..#######.....#......#.##..##..##..####.#...#####......#.....#.#.##.####..#######.##.####.##.......####...##.##.#...#######.###..####......##.####.#.###..####.#...##.#.#.#.###.#.###.#.#.##...#.##.#..####.###.####.#.#.#..#...#.##....#######..#.#.#.#.#####..##.....######.###.#.##.....###..##.#.#..##.##.#....#.#..###.#.#.####.##....##.#.###.#######......##.####.#.#.##.##.#############.##..#...###.#..#.###.#.........#.#...###...#########.#.#..#.########.###..###.#########.#...##.#.#...........##.####.###..#.#.#......#.##.#.######.####..####.##.##.#....##.#.#.##..###.########.#####.###..#...#.##.##......##.######.########
##.####.#.##.#.#######.#...#.###.###.##.#.#.#####.###...##.....#............######.##....#.##.###..##.########.##..####.#.#........########.#..##.#.##.##.#..............####..##...#...####.###.###....#.####..##.#.##.###.#.#.#.####.##.#.##.#.##.##.#####......#...#####..#.##.####..#.#########.#..#.#######.##.#####.##..###########..##..###.#....#.#.#.###.#########..#.#.##.##.#.#####..#......#.######...####.####.##..##.#.#.#..#.##.##..##.##...#........###.######.##..#.##.....#.####.#...##.............####.#.....####.#...######.#...##....#.##..#......#.###.....##.#.###.#.##.#.#.###########.#.#.###.#.#.#.##.#.######.##..#.##.##..###..##.##.##.#.#.##.##..#.##.####.###....#.#....##.#...######...#.......###....##.#.##.#..##...####....####.##.#.#.#..#...#.##....##.###...##.#######...........#.#....#
#..#.#..#.#..#..#.#.#..#.#........##.##.###.##.#######.#####.#...#####.##.#..##.#...###.##.#..##..#####.##......##......#.#####.####.#......#.##.......############.##.#..##..##..#.###.##.##########.#.....###.#..#.#..........####.#.##.#.........#....#.######.#.###.....#####.##.######.#..##.#.##.#.#.#...............##...........##.###.##....##.......##..#.####..##.###.#####.#..##.######.#.####.#.####.#.#..##...###.##.#.....##..#.######..###.##.###.#...#...##.#####.########...#.#....################.#....###.###.#....#........#.#..####.#.###.######.#.....###........#.#.#.......##.##.#..........#.###.#.#.....##.##..##.#.#...##.#.#.##..##..#.#.......##.#.####.####...##...###.##..###.#.##.###.##.###.##...####..#.#....####.##.#..##..#.#..........##.###..###.##..#####....#.#####.#######.###.#.####
##.#.##.#.##.##.....#############.#..#####...#.#.#..######.#####.#.....#..##......#..#..#..##.#..###.#...#.#.##....#.#######.##.###..#.####.#.#..#######..##.##...#.####.##..###.##.##..#..##.#....########..##.##.#.####.#.#.#..#.....#####.######.#.##.#.#.##.#.###.########........##.##.##.......#.#.#.########.######.#####.######.##.#...##########.###.###...#.#..#########.##..##.##..##....#.#.............##..##.##.#.#..##.#.##..##.#.###..###...#########...####.##..#####.###..#.#.####.##.##............####.#.#..##.#############.#.####....#.#.#.#.#....###.############...#.#######.##..#.####.###.###.##..#...#.#.##.#..##..#.#.###..#.#.##.##..##.#######....#.#.#...##..######.##.....##.#.#.#......#...#######..#.##.#.####..##..##...####...####.#######...###.##..##.##..####.##.....#..###.####.#...##.#
#..#.#....#.....###.###.##...####...##.##..#...#...##.#.#..##.##.###.#.####..#.##.##...##.########.#.##.#########.##.##..##.......##.####.......##.#.##..##..####.###.#...##...###..###...##..####..##......###.#..#.#.####.####...###.#.##..#......###.......#.#.##.......#.####.###....##.########.#...#.#.########.......#.##.###.....#.###.#.#.##..####....###.##.#.##..#..###..##.##.###..#############.#.##.#....##.....#.##..#.###..##....#.##.##..#........####..#.#..##.##..#.....##.........#..#####.#.####..##......###.......###.....#..#.####.#.#.#.#.####.#...#........#####.#.##..###..##....#....####....##.#.#.###.#..##.###.#.#...##.#.#.#..###.##.....######...#.##.#######.#.#..####.##....#.######.##.##.##.#..##.##.....##.####.####..#.#.#####..####..#.###.#.##.##..#..##..#.######.#.##.....##.#.###..#
##.#...##...#####.#.#.#.##.#....###.##..######.##.##....##.#..####.###################..###.#..#.........##.#.##########.#..###.###..##.#######.......##.#..##..#..##.##.##..####..##.###.###.#....#######.##.#.#.##...#.#####.#.#####...##########.##..#.###.#.#.#..#####.#.#.#######.#....#.#........#...........##.#.#.#...####.#####...##....#.###.#.###.#.#.#.#..#..##.##.#.##.......#.##.#.#.#.#.#.....####.##.#..#####.#..##....##.####.###.#..#..###.#.###......##.#.##...##.##########.#####.#.##.###########.#######...#######...#####.#.##.##.....#.#.#.##.....###.####.#.........##.##.##..####.####.#.####.###.#####...##.#..#.#...#.###....#.##.#...######.#.##.##.##.##.#.###.......##.....##.#.#.##..#..##.##..#.##..#..##.##.#........#.#.##.###.#.##....##.#.##..#..#..##...####.#...##...#..#.###..#.....##.#
#..###.#..###.##....#.#..######.....##.##.#.##.#..#####.##.##..##..##.#...###....#.#...##...##.###.#####......#.######.....##...#.#.##..........########.##..##.##..#.#..#..##....###..##...#.####.##.#.##.##......###....##.#.####..###..#.#........######.....######.##....#.#.#..#######.#.#####.#.##.#.#.###.#..#########..##..#.....#..####.#.#.#...#.###.#.#.##.##.#..##...######.#............#.####.###.####.##..##...##..##.###....##..##.##.####.######..##.#..#....##.##...#.#.#.#...#........#.#.##.#.......###.###.##.#..###.###.##...#..####.#.....#..####.#######...#.#######....#...#.##.##..###....##..##....#####.##.##.#.###.#..#####.#.#..###.#.#.##.#.#..#..##..#.#...###.###..####.#####.#..##.##....###....##.#.##..####.######.#.#..#..##.#.##.##.#..#..##.##.#.##..#.#.##...######.#.##...####.##.##..#
##.#########.....##...#.###.#.#####.##.#.....#.##..#.......###.###..#.###.#.##.#.....#..###....#######.#.#.##...#.##.###.#.####......##########...###....###.#..###.#.##.##.#####...##.####.#..###.##.#.#...#####.##.####..#.#.##.##...##.#.########.#..#######..#.##...####.......##.#.#.....#.....#.######.#...##..#.#.#.###.###.###.#.##........#.###.#..#..........#.#.#####.#.#.#####.#.#######.#.#.####.#.##...###.####..#.###..#..######.....#.###..####.##.#####...####...#.#.#.#.#.#.######.###...#.#....####.##...#.#..#.##.....##...###.##.#.########.##....###..##.#######.......##.#.#......#..##.#.##..##..##.###......#.#..........##.........##...#.#.#....##.##.###.#.#.###.....##..###.#..##.##.#..##.##...####.##...#..##.#####..#......##.###.#.##.#####.#.##..##....####.#..###..####.......#..##..####..##
#..#.##.#....#.#####.##.#.#.#....##.##.#####.#..##.#####.#.......##...###.#.######.#.####.####....#......######......#.#####..##.###.##.#.#.###.###.####.#.#.#.##.....##.#...##.#.###...#...#.##....#.#.###.......##.#..##.#.......###..#.#.####.#.#.#.##.......##.#..#.##...#.#.#.##.....#.#...#####.#.##...#.#.###.............#..##.#..#.##.#.#...##..##...########......##...#....##########...#.#.#...#.....###.#...#.###.#.##..##.##.#######.##.#...##.#...###.#.##.##..###.###.#.#.#.######.#######.#.#######...####.#.#.##..#####.##.#.....#..#.#.#.##....##.######......##############.####.###.##.##....######..#...######...#.#.####.######.#.#.######.#.#...#.##...#.#.#.#.#.###########.......##..#..#.#######.##.##..##.##.##..#.#.##.#####.##...#..#......##.....#.##..####.#..#.##.##..##..############..##..###
##.#.##.##.######.#.....#...####.......##.##.##.##....##########....#.......#.#....#.#....#.#####.#########.########....#.###.######......#.#.#..##.#.#......#.###.##.#....#........###.##.##..####.#...#########.##...###.#.#####.####.#...#..........########......##..###.#.#.#..##.#.######.#.....#....#.#####.##.#.#.######.#.##..##.####.#####.###..#####........##.######.####.#.#.#.#..###.....###.#.###..####.#.......#..##........##.#...##.##.##....#...........#.##.#..#......#.##..#..##......#....##.###.#.#......##.##.#....#.#####...##.....#..##....###.#####.#...#..............##.##........##..#.#.##.#.####..####.######.#.#.#.######..#.#...#.###.#..###.......#.#.#.##.##.#.####.##.###.##....##.....##.##.##..#..#..##....#.###.#..###.#.##.#########.#.#.#..##..#.##.#.##..##..##.##.....#..##.##..##.#
#..#.#...####.#.#.#####.###.###..#.###..#.##.#..##.##..##.###.###.#####.###...##.#.######...#.###.#.#.###.....####.####.#............#.##.......##..#.#####.##...####.######.#.##.####...#..#.###.....#......#.#...###...#.######.......###.##########..##.#############.....#####.#######...######.#.#.#.####.....##########....#..########.###.......##.#.##..#########..#.#...#............##.####.##.#.###.#.##.########.#...##..#########...###......###.############...##.##.##.###....##...########.####.#..#.....#.#.##..#.#....#.####.#.##.#######.#.####.#...#.#.#######...##.#.#####.#########.#######.##.#.##...#.#..##.....#.#.....#...#.#....##...#...#...####...##.#.##.#...##..#...#.##.#......##.#########..#.#...##.#.##.######.#.#.#.##.###..........##.#..###.##..##.#..#...##.##..##...#.#####.##..##.###.#
##.#.###..#.........#.#.##......####.##.#.#..##.##.###.#........###..#####..#..#####...#..#...#.......#.#####.#...........###.##.#.#.#.#..#####.##.##..###..##.####.#.#...#######..#.###...##.#.###.#.#.####.#.##.##.#.###.###....#.###.###.###.....###............###...#.#.#..#...#.#.####...#....##############.#.#.##...####.##.#.#..##..#####.###.##.#..#######......##.###.###.#.#####.##...###.##.#.##....##..##......#.#.###......#..###.######.#######.##..##.#.##.###..#.####.#.##.###.##.#....#.#.#..##...###.#.###..##.###.##.#.#..#.....#.#....########.###.#...##.###.###.###......#.##.#######.#....#.#.#..#.#.##..#####.#.###.#...###.####..#######.###.##.########......#####.###.#.#########.#..##.##..###...##.##.....#.#.#.##.#.....##.#...#.########..##.##..##.###.##...####.#..####.##........##.#...#..#
#..#...##.#####.###........##.###.#.........###.##.#...###.##.#..###...#.##.##.#######...####.#######...#.##..####.#.##.###....#######.##.#........##.##.#.##...##..#.###..##.#...##.#.##.###...##..#.#.#.......#.##....##...###.######...#.#.#####..############.##.##########.##.##.#..#####.##.#.##...#.#..###.......###.##...##.#.##..##.#.#.###......#.##.#.....##.#.....##..#######.......#..........#####..##.#####.#####.#...######.##.#.#.##.#.###..#...##.......#.#.##.#.#.#..###.........####.#.#.##..#.#.#...######..#.#...##.#.##.####.##.###.##..##.#....#.###.#....###.#...###.##.#.#..#.##..#.##.###.#.#.####.#..##.....#.#.####.##.#..#.#.##.###........#.#.##.....##.###.#.#.....#.#..##.#.#.##.##..#.##.###.....##.##.#.#.#..#.#####.#..#.######.##..##..#..#.###..#..####.#.#..#.##.##.##.########..#.###.##
##.###.##.#########.##.#.#.#..##....#######.#.#..#####..########...###......####.#.#.##.##......#.....#.#.###..##############.##..#.###########.##.##.##.#.#..#####....###....###.##.#.#....##.####.#######.#.#....#.#####.###.###......#...#.#.#...##...###.#....#..#.####.#.#.........##..#...#.###..#...#.##.#######........#.......##..#.#.#.########...##.#####.##.##.##.##.##.#.....##.##.#####.####..##.##.......#####....##.###.##..##............##.###..#######.#.#.##.#.#.##..#######.####.#.........########..##.###...#####.....#.###..##..##..##.#....####.#.#.##.#..#..#.#.######.#...##..##.#.##.###.....#.#....#####.#......#.#.##.##......#.#.########...#.##.######..##.#.#####.#.#.##..........##...##.#.####.###..###.#.##.#.###.#.##.#....#......####.##.......##.##..#.#.##...##.##.......##.###....#...#
#...##........##..#################.##.#....#.##..##.##.#.#.#..##.##.######..##....#.##########...#####.#.#.##.#.#####.#..###..##....##.##......#......#.#.#.####...##.#.####..........###.###.##.###.......######.#...##..##....##.#.#####.#.#.###.####.#.#...##.##.#.#.#......##.#.##..##.##.###########.#.##.#.#...####.#########.#####.#.#.#.#.##.#.###....#.###.##.####........#.#.#.##.##############.......#.###...#.####.##......#.######.#######.##..###.##.##..........#.#..##..#........#..####.##.#..##.##.#.###.#.###.#.##..###.#.#.##..##.##.##..####.##.#.#...#####.##.#####.##.#.###.#..###.#......###.###...#####....####.#.....##..#####.##.....#.###..#....###.##...###.#.##........#..#.#.#.##.#..###..........#..####.#.##.....#.#.#....####.#######.#.###.######.....##...#..###..##.#######...#####...###
###.####.#.#.####.....#.....###.##..#....##....##.#.....#...##..#.....######..###.##..##.##.#####.#.......#....#.#.#.#.##.....##..##.....####.#####.##.#...#.##.##.##....##.########.#..##.#.#.##...###.#.#.##.....#.#####.###.###..###......................#.#.....#...##############.##..##...##.#.#.............#..#...#......#....##..........#......####.#.#.#.####.##.##.#.#.#######..#..............#.##.##.##..#...#.#.....######.#.#.####.......##.##.........#.#.##.###.##.###.#.##.###.##.#.##.#..##..#.#......#.#.##.......##.....#..##.##.....##.##...##.#.###..##.......##.........#..##.##..####.###.#.##..####..######.#####.##.##.##.##...#####.....##.###.###.....#.##..#..#.######.######.###..##...##########.##.##.....######.#...##.###....##.##.#...#.#....#######..###.##.##..##..##.###..###.##..#...#
#....#######..####.##.###.#........##.##..##.#..#.#####.###..##.##.##........##.#....###..........##.####.####.#.#.#......###.######.##.###.####.#####.###.#..#.########....###....####........#..###.##########.#.....##...##.#.##.#######.#.#.#.#####.############.###.#.#..######.....##.####.##...###.##.#.##.#.##...#.#.####.##.###..####.###.####.#......#.#.###.#...######.####.#.#####.##.###########.##.##.##.####...#####.#.##.#.#.#..#########.##..#.#.#.#########....#.##..#..########.......########.#.##.###.#...##.##.##..#####.##.....####.##..###.##..#.##..##..#####..######.##.##.##..##.##.#...#.#..#.##..##..#.##...##.####.#........#..##.###.#.....####.#######.###.#.####........#.##.####.#..###.###.#........####.##.#.#..###.##.###.#####.##.###.#...####.#.#.##..#......##..##....#.##.#.#..##.#####
###.##..#####..##..#...######.#.#.##..#..######.....#.....##.##.########.#.#....####.#.########.#..#####.............#.##.##...##....##.....##.#..##.#.#.....##...#.##.####.#.####..#.########...##.#.##.#.##....##.######.##.....###.#.#####.#.#.##....#...#..............##...##.####.##...##...#.###.#..###.###############....##..###########....#..#.#.##......#..###.##.##...#.#....#..###########.###..##.###########.##.....#.##...#.#.##..##.#....#.######.#......#####...###.#.###.##....#.#.#..#..##...#.#####..#.#..##########..#..#####.##.#..###.#.#..##....##.######..##..##..####.##.#..###......#.#.#.##.##.##..##.##.###..###..##.##.##.##.##.###.#####..##...##.##...#..#.#..########.#.####.#..##.#.#.#.#.########..#.#.##.#.##..##.#..#.#.#.##...#.#...#.######......##.####.#..##.##.####.##.#.#.###..##.#
#.#.###..#.###..#####.##.#.##########.#####.#######.##.##.......#.#..#.########.##...#.##.###########....####.#####.##.#######..####.######.##.##......#####..#.###.#...#......#.#.##.###...#..####....#.#.###.####.#..##..##.#.####......#...#####..#.##.#.############.####.#.#...#.#.####.####.#..##.##.#####.#.####.#..######.##.##..##..##.####.########..###.##.##.........#...####.#.##..##.....#...#######....#.#....######...##.###.#..##..#.####....##.#########..#.###.##.#...#.#..###########.##.#..#...#.#.##.####.##.##.##.##...##.#.#......##.......#####.###..###.##.##.####.##.#.#..##...##.##.##.#....#.##.##.##..#...#..##.##..####.#...####.#.####..##..##.##..####...##.#.##..........#.#..#.##....#.#.#.##.#.#.##.#.#..#.#.#..##..##.#.#....###...###.....#..######..#.#######..#.#..###..##.......##.#..#
#.......##.#.#.####...##....##.#.########....#.####.######.####.#.##...##.#.#.#.####.#.##.#....#.#..##.####...##....##..###.#####....#............##.#.....#.##.#.#.###.###.##.....##.#...#.##.#..####.....#.####.....##..###.#..#.#.#.##...####.#..#######.##......#.#..##.#.#...#...........#.#.#.##..####.#......##....##.##.#.##.###....##..#......#.#.#######.....###.#.###.#.#.........##.######.###.#.#..#####...#.##..#.##..####.##..#.####...##...####...##..##.##.#.#.#..#.###.#.##...###.#.#...##.######.#.#..#..##...#.##.##.#..#......######.###.###.##.##..##..##.#.#......#.#.#....##.#..#########..##.###..#.##..##.###.#.###....###.###.#..#.#....##..##..##..###.#.####.......######.###...##...####.##...#.##.#.#.#......##.#.##..##.#..#.#.####...###.##.##.#.##..#.##.#.#..##.##.#.#.##.##..##.#######...##
#######....#.#.##.###.#####.##.#..##.##.#.##......#.#.#..####.#.#..###.#.........###....#.####.#.##..#####..#.#..#.##..##.....################.#.#######.#........#.##..#.####.###....###.#......##..#####....#.##.#.####.#.####.#.##########......##.##.#...####.#.....##..####.###.###.##.#.....#..##..###.######.#..##.............#####.###.######.#.#..###..##.####.############.######.##.#.#........#.#.##...###.#####.#.###.##......##.#.####.####..###.#..##.#.....#.....##..#..#.###.##.....###.##.###......##.##..###.#.#..##.######.##..##..#.#.###.#..#.###.##.##..#.####.#.....####......###....####..#.#.#.##....##......#.#.####.#.#.....##...###.##..####..##.#.......#######.###..#..#...#....#..###..###...##.....#.##.###....##.##....##.#.#..###.#.#..###.....##...#..#.#.##.....#.#.##.#..##......#.#.####
#.....####.#...##..#...##....#.#.##..##...#..####.......###.#.#.##.#.#...#######.#.####.#..#.#.#.###..#....#####.#..##.######.#.##.##.##.......###.#.....##.##.##.#.#..##..#.###.#.#############..##.#..###.#......####.#.#.##.#...##...##.#########...#.###.##.#####.#..##.##.###.############.#...##..##...##.......############.##.......#............#.##.##.....##..##.##.###....#......##.#.#####.##......#.###.#.##.......#...##.#.###..#.#.#.......##.###.##....###.#####..##.##....#...###.#......#...####.#.....#.##...#.##.#....#.######..##.#.#.##....##.#....#..##...#.########.#.######.##.####......##.#.#..####..#.####.#.#.##...#.##.####..###.#.#..##.###.#..#.#####..##.#.#.#.##.##.#######.###.#.##..####..#####...#########..#.#####..#.....##.....#.###..##.#####.#.##...######.#....#.#.####.#####...##.#
#####.##...###..##.##.#####.##......####.#########.#.##..#...........######......#.##.....##...#.#.##.####..##...#.##..#....#...#......#####.#.##..#.#.#..#######...##.###.#.##....#.##..##......###.##..#########.##.#.#.#.##.###..###.#...##..###..#............######.#..##.##..#.......#.#####.####..###.#####.##.#.####...#....#######.###.##.#.#.#......#####.####.....#.#.###########..#.#.#.#.########.##.#......#######.#.####.#...##.#...#######.##.##...#######....#.#.##..#####.###..##.######.##.##....#.###....###......####.....##.#.##.......####..#.####...###.#.#..##.####.#.#.##.........##.###.##.#.##..###.#####...#....##.##.####.###...#.#.##.##.#...##.####....##........##.########...#.....###..##..##.#.###..###..#.##....##...##.#######.####.##..#####..#....####..#.#.....####.....##.#.##..###..#
###......#..#..##.....##....#####.#..#.###.........#.###...###.##.##...#....##.#....#####.##.#.............##..###..#.#####.###...####.......#..##...#.##.##......#....#.#.#....##.#.###..##.#.#..#..###..##............#...##.#...##.....#....##...########.###.##.##.....##...##.#######.....##...#.#.##...#.######.#......#...##.####.#..############.####.........######.#.#.#.#..#######..........#.###.#..#.######.##..#......#.#.#.#.##.##.###.##.#..#.#..#.........##......##.#.#...##..#####.........###.#.########.#.####.#....#.###.#.....#######...###.#.#..###.#.#.###.##..#....#...####.#.#####..#......#.##.##...#.#.###.####....#..#.#..#.###.#.#.#...#.##.###.##.####.########.###..##....#.#######..##.####....#.####.#.##....###.####.###.....##...##..###.##.###.####..#.##.#.#####..##..######......##.##.#
#.#.##.####.##..#####.#####..##.###.##..#..#.##.##.###.#.#.########..#...##.##.##.#..........####.##.#.#.#..##...##.#####.#.#.#.#.#....#.##.#######.##.#..##.##.###.##.......#.###.....##.#######.##.#...#############.##.####.##.######.#####.##.#..##.#....#.........#.#..##.##..........###..###...#.##.#.#...##.########.########......##..#.##.#....##########.###......#.#.#.#.##....#####.#.###.......##.#.#.#.....##.######.#.#.#####..#..##.....##.#.#.##.#.#.#.#.##.#.##.##.#.#.#.##.##..########.#.....####.........#.#######.#####.###.###.##..###.#.#...##.#.#.....###.###.####.###..#####.#.###.#######.#.##.####.#........####.#...##.##...###.#.#.#.###.#..##.....#.#....##.###.##..######.#####.#.#.##.....##.#...#.##...##.####.#.##...#...##.####.##..##.......##.##.##.#.##.#..##...####..##.#..##.####..#.#
#.########...#.##..#...#..##.##..#...##.##.#.#..#..###...###.##..###.#.#######.##.#.#.#.#.#.#####.##.#.#.##.##########.#........#.#.#.#######.#.....##.##.#######....##.##.######..##.##..#.#........###..#.#.#####.#..##..##..#..#.##.####.#...######....#.###.####.#.####.....##############.##.###.#.####.###.#...........#.....###.###..#.##.#....####........#...######.........#####.#..######.###.###......#.#####.##.#.##...#.#..#.###.##..#####....#.########.###.#..####.#..#.###....##.##.##.#####.#.####.######.##.#.#.#......#.............##.#.#.#.###.##.#.####.##.#.#.#..#.#.#.##.#.##....#.###.#.##....##.#.#..#.#.####...####.#..#..###.#.#.#.#.#.##..##.######.#.####.##.#.#..##...##...##.........##.#########...##.####..##..#.####.#.#######......#####.######.#..#....##.#.#####...##.##....######.#.##.#
#..#.#...###....##.###...##...##.###..#.#########.##.#.#.##...##...#######.##..####.###.#.####....##.########....#.#.#.######.#.#.#####.#.###.###.#..#.####...#####.#########.#.####..###.#.#####.##.##..##.........#.##..####.##....#.###....###..##..######...##...####.#####.###.......#..............##......###############.#..#######...##.#############.##.#.#####....#.#.#.#..#.##.##...#.#....########.#....###..........#.#...##..##.#..##.####.###..##.#.####...#####.#.##.#...####..#.##.#....###.#.###.........#......######.#.#####.##.#.###............#.#.#.#...#.#.#.##.#.#....#.#.###.###.##.....####.##.#.#.######.#..###..#.##.#.##.........#.#.##.##...#.#.......#..##.#.##.##.######.##.#######..#.##..##.####.##.##.##..##...#.##.........####.####......##.#.##...####.....#.##.####..##.###.##.#.#.##.#
#.##.###.####.#........#..###..#.#.#.##..##.#..#####...#.#..#....#..#.#.......##....#...####...#.###.#####.###.#.....#..#.....######..............#.####.####.#.##..##.#.##.......###.....#.......#...##..#####.#.#...#..##.#...##.###.#.####.#.##..####.#.##.#.##.###.....#.##.#.#.#.###.####.##.#.#.##.###.#.#.##..##...####...##...#.....###..#.#.#.......###....##..######.#.#.##....#.####.#.####.###..#.######...#.#.#.#.#.##.#.###..##..##..#.#....#.#.##..#..##########.....#.#.####.##.#.#..####.#.#####...##############..........##....#..#.....###.#.#.##.......##.##...#........##.....#.#.#.#.######.......#.#....##......##...####....###.#.####.#...#..#..###.####.##...##....##.#..#####..####.###.##....#.##.......##.#..###..###.#.#..#.#.#####.#.....####.#.##......#.###..##.##.#.....#.##......##.#....#.#
#..#.##..#.#####.#.#.####.#.##.#........##..##..##.##.##.######.###.....#.#.###..##.#.#.##...###.#.###.#...#.#######.##.####.##..#.####.#.##.#.#.##.#.#...##.......##.....#####.#.....###.##########.##..##...#.#####.#.##..###.#..#.#.#..##..#.##.##.........#..#######.#....#.#.#####.........########...#####.##.#####......######.#.###.#.##.#.#.###.#.#..#####..##..#.....#######.#.#.#......##...#.##.#.##.....###########.#....#.#.####.##.##.####......##.#.##..#.......#.#......##...#.#.#.##..#.#..##...#####....##.#..######.##.######.#.######..#############.####.####.######.########.#.#.....#.#....##.##.#.#.##########....###.#..#.##.#.######.##.##.##.####.##.######..####.##...##.##..##.#.......###.##.#######.##....##...##...#.#.#########....#####....#########.###.####.....##.####.###.###.##.#.####.#
##.#.###.........######..........#.#.##....##..##.....##.###.#######.##.###.##..#####.#..###.##..#.###.##.##.##......##.##....##......######.#.#.##.#...#....####.####.##.......##.#.####.....#####...##.#..######.##.#..##.###.#.##.#.##..##...##..#########.##.#....##.##.#......#.#..#.##.#.##........####.#...#..#.###.######.#.....#.....#......########.#.#...####.###.#...#######.#.######..###.#.#.....#.###.##.#.#..########......##...#.##.#.###.###..#.#..##.###########.#.##..###.#.#....##.#...####.###....##....##.#...##.##..#.#...###.#######.#.#.#.###.#.###..#.#..###..#####.#........#####.#.########.#...##.#.##.###.#..##.##.####...###..#.##.##..#..#.#.#..##.#...##..#.#..####....###...#####.#.#.##..#.#.......######.#####.#.#...#.##..####.##..####.##...#..#..##.#.###.####...##..#.#..####.....#.#.#
#........#.#.###.##.....#.##.#.########.#.####..###.######.......##..##.#...###.#.....#.##...###.#.........#..######.##.#..#.##..#.##.###....#.#..####.#######.......######.#.########....#.#.......#....##.#####.......##..#......#.#.##.####.##..###.##.#########.#....######.##.....#################..##..###...##.....#........#.#.###.#.####.#.#.####.#.#.###...##.###.#.#.#.##.#....##.#.##.##......###.###..........##.##.#####.#######...##.#...######.#.#.##..##.#.###.########.......###.##..###..##..#...########.#..#.######..##.######..............#.#...#...#.##.#.##.##.##..#.########..#..#.###.#..#.....####...##..#..##.....#..#.#####.##......##.##.##...##..#.###..##...##.##.####.#.######......#..##.#.####.##..##..#..##...#.#.###.###.##.#..#.##.##.####.##.#.##..#.#.#.#.#..#.#..##.##..##..#####...#
#.#.#.#.##.############.#.##.####.#.#.###...###.#.....##...#.#.#.#..##..#####.#####.#.#..###.#...##.#.#.##...###.....#..#.######.#.#......##.#.#.###.#..###....##.#.##......#.###.#.#..#.##########.####......#.######.####.######.#.#....##....##.....##.#.###...####.#.#.#....#..#.###.#.##.#.##.#.#.#.####...#.############.#.#.##########.#.####.#.#.#........#.###..#.#######.#....####..........########...########.###..##.........#.#.###..#.#.#.###......#.##.##.........##.#.###.#.##......##..#..###########...#.#.##.#....##..###...##.#######.##.###...###.###.#.##....#.##..##......##.###...##.##..##.#####.##.###..##.#.##..###.#.##..###..#####.#..#.#..####..##.......##..#.#..##.#.##.#.##.#.##.###...##.....#######..##.#.#####.#.#.#.#.#.#.##...##.##.##..##..##....##.#.#.#...##.####.##.##.####.##.####.#
#####.#######.....###...####.##...#.#.##..###.....#.########.###.#.###.######.......###.####.#.#.##.#.#..###.#.#####.##.###.#..######.###.#..#.###.....##.##.###..#.#..#.#.####.#.....##.##.........##.#####.##.#.#....#....##.##....####..###.#######.#....#.###.########.####.######......#.#.##........#.###....##....##.##########.##.###....##........##.###....###.#..##..##.####.#.#########.###........####.#.....####.########.#.#.....##.#.#.###.####.#...##.###.#.##.#..........#####.#.#..##.##.#.#.##.##.###.#.#.#..#.########.###.##...###....###.###.##......#.#####...##.########.#....#.###..###....###.#..#.#.##.##.#####.#......##.#.##.#.######...#.##.#..####.####..##.####..#.#.##........########..##.####..#.##.##....#.###.#.#.#.#.#.#..###.#..##.##.####..####.##.#...##.###..##...#.#...#.#..#..##..#
##.....##.##..###.#.##.###.####.#........##.#######.#...#######......####.....#.##.##...#..###.###########..............##..##.##.#...#...##.#..##.###.#...####..#######.###.#....######.#..#.#.###.#.........#.#.####.###.###..####..##..##.#...##......##.........#.#.##.#....###.###.#.#.....##.#.####.#.....##.#####.##.#.#.#.#.#.........##..#####.#.#####.####..##.##..##.#..#........#.#.....##..#.#.##...#....#.#............##.######.##..#...##..##.#.###.##.#.######.#.#.##.#.#####...#.##.......#.#.#..##.###...#.##.#.##.#.##.......###...####.#..........#.##.#.....##.##...#..##.#.####.....##...####...#.##.....##..#.##..#######.##....##.#.#.######...##.##..#.#.##.##.##..#.##...#..########.#.#..####.##.#.###...#...#.##.#.#.#...#.#.#...#.##.....###......##.###.#.##.#.###..#.#.#####.#.#.###.##.#.###.##
#..###.##....###.....####.......#####.##..#...####..#.#.........#.#.##....#.#.#.#...######.....###..##########.######.#..##.....#.##.####..####.##########.##.####.#.#####.....#.###.#.##########...##.######..............#.##.#.#..###.##..##.######.#.###.#.#.##..........####.#.....#######.#########...##.##...##.#.##.#.#.#.....#####.#..##.###.#####.#....####.#..###.#..##.####.###...###.#.###.#.#.####...#.##.######.##.##.....##.#...##...#####.##.#####..#.#..#.##..#####..###.....###.###.##.#...#.##.##.#.###.#.#....##.#..#####.###.###..#.#.#####.#########.#.#####...##.##.##..#.#.######.##.###..###.#.#..#######.#.##.##........####.#........#.##.###.....##.###.....##.##.#..###.##.##.##....#.##.##.##.....###.##.#####.#.#.###.......###..###.####..##.###..##....##.....##......#.##.#...#.#.##........#
#.####.#######.####.###.####.##.#...#####.#.###..##############.#.#####.#.###########.#####.####.#.##.#..##.####......##....#.#.#.#####.##....###.#..##.#......##..#.#...##.#.####......##.#.##...#..##########.###.##.#.#....#.#.##.#.#..##.##..##.#..###.###############.#####....#####..#....#.##......#########.##.#....#...#####.##.##.#.##......##.#..####........##...##..........####.....#..##.###.#....#.#.##.##......#.#..##.##..###.###.##.##.....##..##.....##....####...##...#########.########...#..#....##......#.##....###.#...##..###.#.###.##..#..##.#.......##..#.##.##..##.#.#.#....#.#...##.##.#.#.#.####.#.#...##..########.#.##.###.#.##.#.##.....#####...######.##..#.##..##.##.#...##.#......#.....#####.#.#...##.......##..#.##.####.###.....##..######..####.##.#########.###.##...###....#.#.######
###..###.#.....#.##.##.....###..#.#....#......##.###.##..#.#.#..#..#.#######.##.........#.#.#.......#.##.#....######.##..#.##.#....##.#.##.##.###.##.#....##.#....##.##.#######.#..##.#..#.#..#.###.##.......################.#......#...##...##..#.#.####......#......#######.##.########.##.#...##########.##..#...#.####.###.#..#..#..############.#..##...#########.####..########.###.##.#.###.#####...####.#############.#####.#...#.##....##.##.####.#####.######..####.#..###..###.#.....##..#...#.####.##.####.####.#.##..####.##..#.####.##.....##...#####....#####.#######..#.###.#......####...###.#..##...#.#..#.#.#.###..##..##.####......#.######.#.######.##.####...#.##..#.##..#.##..##.###.#######.#...###.##..#.#...###..#####..#.#######..#.#.#.######.####..#.##.##.#..###.#.#........###..##.######.#.##.#
####..#..#####.......#####..########.#.###.####..#...###.#...#######.#.#.#....####.##.#.....#######........##.........####.#..####.##.#.##.####.#.##...#####.#.##..#.##..##.......######.#...######.####.###...##.##.##.#.##..######.#.###..####.##.####...#.##.####.#.#.##.......##..........##.##..#.##....###.###......#.#.#.##.#####.#.#.#.#.#.#....##..#..##...#....###.##........##.....###...##....#.####...##..........#########......#####.##.#.##..#.#..#.##...##..####.##############..##...#.....................#####.##...###...##.#.######.####.###...##...##...##.#...##..##...####....###..##...#####.....##.#...####....###.#....#.##....#.#.#.#..####......#####....##.#..##......##...##.#.......#.#.#....##.#.###..#####.#.##......#..##.#.#......##.....##....#.#..##...#.#.#######.##.#.##...#..##.#....#
#.###...##.#.#######.###.#.##..#.#.###.#.#.#.###...#.....#.#..##.##..#.#.####....#######.##.###.###.##.##.####.#.#.#.###...####..........###.#....###.##.##..#####.#.###..#########......###..##..###....###.#..#.#..##....##.#.##.#...#.#.##.#..##..#.########.#.####.#.##.##########.#####.##...##.#.#####.......##.###...#.#....#.#...#.#.#.#...####.######..###.###.##.#.####.########.#######.##..####.#....###..#####.##..#.#.##...####..#.#..#..#..##.#.#.##....#..#.####....##.#.#.......##..###########.#######.#.#.#..#...###.#.###.#..#.#.......##..#...######....####.###..#.########...##..##.#####.##..###.####.#.###..##.####..############.....#.#.##..##.#####.######.#....####.##.#####.#..##############.#..#.#.#.#.##..##.#..##.#####.##..#.#.######..#########...##....###.#..##.#......#.##.###.##....####
#.#.###....#.###.##....#.#.###.#.#.##.........##########.####.....##.#.#.##.#.##.##.######..#........####..#.#########.#.#.##...###.####..##.####.#.###..#####........##.##.#.#.##..##.#.....####..#..####.####.#.##.#####.#..#.#....#.#...##.##.###...#.##.#......##....#######.#######..#######.#.....##.######.#########.#.####.#.###...#.#.###.#.#..#.##...##.#.#....#....#.#####......#.......#####.#..##.#...####...####.##......#.#....##...##.##.##....#..#######.#.##.####......#.#####..#####.####.....#####.#.######.###.#.#...##....##.#####.#..##.#####......##..#.#.#.##....##..#.###..##..........##.####....#.#...##.#..#..##.#..###..########......##......###.#...#..####.#.#..####.##..##.##.###..####.####.#.#.#.#..#.##..##..#...##...##.#.#.....###..##.#.#####..#.##...#.##..#.###.####.#.......##.###..#
#.#.....##...#...#..##..............######.####..##......##.#####...........####.##.#.#..########.#.##....##....#......###########..#....###.##.#.#.##..##...########.##.#.........#########.#.###.##.#....##.#.#.##.#.#.#.##.#...####.###..#.#..#.#.###..#.##.##.######...#......##.####.#.#.#.#.#####....#.##....##...........#....#.#.#.#.#.##....##....###.##...####.###.##.##..######.#.#.#.###.##..#####.#.###.####....########.##.####.####.##.#...###.##.##.#.#.....##..#.######.####.###..##........##.##.......##.#.......#.###.#####..#..#.#####.....#.#######..##........####..##....##.#####.######.##..#.#.####...####.##...##..##...##.#.....######.##..####.#.#.###...##........##.##..##.......#.#.##.#...#.......#.##.#.##.####...#.##.###....#.#####.##....#.#.#.#.#####.###....##..#...#.#.#.#######....#.##
#.##########.###...##..###.#.######....###.##.##.##.##.#....###...#.#.#####.##......#.#.##.#......#.####.######...##.#...###.#.#.#######.#.#..#...#.###..#.###........##.####.##.###.###.......#...#######......................#.###..###.##.##...#..###.#.#####.#..#.###.######.##........#.#.....#.####.#.#..##..###.#.##.##.####.#.###.#...#####....##.....####.#.#..#.#..#..##.#.#....#########..##...##..#.#...#..####.###.......####........##...###.#.#..##.#.#####.###...###.##..#.....##..###.#.##.#..#..###.#.#..#######.#.#.#.#.####.##.#.#.#.#####.#.#.#.#.#.###.#####.##.#..######.###########.#.#.###.#.#...####..##.....#####.###.###.#.#.#..##.....#####.........##.#####.#.##..#..##..####.##...#.##.###.##.##.#.#.#....##.#..##.##.##.#.####.#..#.#.....#.##.#...#..##.#..#####..##...###.#.......#.##.###.##
#.#.####.#.....#######.###.###.##...##.....##.##.#####.####...##.#######....#######...#.#....#.#.####.##.##.###########.##.#.....##........##...#...#.##...#.########.##..######.##..#.#######.###..##.#.##.#.##.#.####.##.#.##.###.##.#.#.##..###.#.##.#.#..##.#.##.................######.#.#.###.#.##...#.#.####...########.........##....#..###########.##..###...##.....##.##..#.#######......##....###########...##.#..#.#####.###....#.####....#..##.#.#.##....#.#.#...#.#.....###.#####.###.#.###.##.##.###########..####...#.#.#.#.#...........#.#...............##..#...#.#..#.##.##.....#.##.##.........#.#.##.##.#..######.####....##.##..######..#####..##.#####.######..#.#..####.##.##..##########....#.##...###..###.##.#.##.#.##...####....#.#...##.#####.####.###.##.##...##..###.####.##..#.#######.##..##..#
#........#####....##.###.###......#.######..#.##..##.########.######.#.####..##.#.#.###.##.##########.####.....###.#.....#.###.#..#.##.#.#..###.###.#.#..#...#.##......##.#.##....##.#.##........##.#.......#.######.....########........#.###..##.#.##...#.##.......#.#.####.#.#.####.####.....#......###.#.####...###..##.#######.##....#.###....##..#..#####.#.###.######.#..##.##.#.#...######..####...#.##.######.#..##....##.###.##.#.####.###.##.##.......####.....##.########..#...##....#.....####...###.....#.##..##....#.....#.#.###.#.###.#...####.#.#.###.##.#######.#.##.#.##.#####.##.#.....#.#.#.#......#.##.##..##.#.....##.###...##.##.####.##.#..##...##....#.##..##.##.#........##.##..###....####..###.####.##..####.#.....###..##..####...###....#.#..##...##.##.#..####.##.#.......##...##..###.##.##..##
########.#.####.#..........######.###.#.##.##.#..##..##....##...#.#....#..##.##.....###..####.#.#.#....#####.#.....#####....##.##.#########.#.###.......####......#.#.##.......#.##.......##.#.#....###.#.#.#..######.#.####..#####.####....###.##.#..###...###.######.#.#....#######.......#.#.##.###.#......#.###.#.##........#########.########..##...###....#.#....##....##.##..#.#...####.##..##.##.###.....#...#.##..###.##...#...######.......##########.##..####.##....##..###.##.######...##.##.############...###.########.##.......###########.#..#####.######.#..#......##.#..#.#..##..#.####.##.##########.#.##.###.##.#.######..###.###.##..#.#..#.##.###.#####.##..##..#..#.####.#####...#.##.####.#..##.#.#.#.#...##.#.#....###.#.#.####..#.##.###..####...##..#.##.##.#.##..#.#..######.####.##..##...#...##..#
#...............#.#.##.##.##.######.....#.....#.####.#####..##.##.####.##.#...#####.#.##.##.#.#.#.##.#....#####.##.#.###.##....#...#.#####....##..#.##.##.###########....###.#.#########.##..######..###########.#.#..#.#..##.#...####...##.#.#.##...##.###.#.####.###.#####.###......#.#.#.###.######.######....##.#.#########...........##.#.#.##.#..###.####.#.##.#..####.#...##.#.#.###.#..#..##......####.#.###....##.....####.###.##.#.#######..##.#...#...##.#.##..###.##..##.#....#.##...#.#..##.#....#.#.....#.......##.##...#######.##.#..##..#.#.##...###.##.####.##.###.##.#.##.#.####.#..##..##.##.#.##......##.#.#....#....#.##..##.#.#.###...##.#..#.#.#...##...#.####.#.####.##.##....###.##....#.#.##........##.##....###.##.......##.#.##......##.#.####.#####.##.##....#.##.##.##.#...##.#..##.####.#.####.##
##.#.#.##.###.#.#.###..#.........######...###.#.##....##.#.##..##.#..#......###.#.#.........#.#.#.#####.###..#####........########.#.#.#...##..#.##.#..#.........#.#..##...#######........####......##.#..###......####.##.#..##.##..######......###..#.###...##...#.#####.###.######.#####..####.#.......######.##.#..##.##..######.#.##.##.#........####.##.....#####.#.#....####.#....##.##.##.######.##.####.#.##.#..#####..##...#.......#.####..##..###.###.##.#..#.##.#.###..#.###.##.####.#.##..#.####...####.##.#.#.#.....########.....#...####.#.#..##.###..#...##..####...##.#.##....###.#.##..##..#.......##.#......####.#.####..#.##.......####.##.##.#.#...#..###.#.##...#..##..##..#.##..##..####......####.#.#.#..#####.##...#.#.#.#..#.#..##.######....#.#..#.##.##..##.###.##.##.##.###.##.#.##...###....##...#
####.#.#..#...###..########.####.....####.#...#..####.##...###..#.##.######.#.#.#.####.##.#.....#..##.#.#.#.##.#...##.#####.#.#.##.....###.###....###########.##...##.#..####.##.###.#.#.##....####.##.#.##.######.#.####..##.##..##......####.#####.##.#.###.####....##...##...#######.....##......#####.........#.##.#...##.....#######.#..########..#.#.#..###.#.#.#.#.##.###..#.####.##.##.#...##.....#.#.#..#.#####..#.###..###.#######........####.#...##...#.#.##.#..#...##...###..#..#########...##.###..##############.#.#.###..#####.###.##.#.#.##.#..#.##.###.#..##.####.......####..#..#.###.#..#####.#.#######.####.........##....###.#.#..##..#.......#.######.#.#.####.#.##..####.####.##..##....###.##.######.##..###..#############.#.#.##...#.#.#.####...##.#...#.##..###.##.##..#.##..#..#.#..#.#...#.####.##
#.#..#.##.###.#...##.##.#####....#.#..#...###.##..###.####...##.#.....#.......#.#.##...#..#####.##..#.#.....##.###.#..#.##.........#.#......#####.#..#........####....####.#.....#...##############.#..#..#.#...##...#.###.##.###.#######.####.#.#.#..#.#.#.#..#.###.####.#####.#...###.###..#####.##.....#.#####.#.#..##.#######.#.#.#...##.....#.###.#.#.######.........#....##.#.#....##..#.#.########.#.#.##.#.#.#.##.......##.#.#..##.###.#.##..##..###..###......#.#.##.#####.##.##...##.##.##.##.##..###.##..#.##.#.#.####.#.#.#.###...............#..##...##.#.#.##.##....##.#.#.##..##.##.....######.#...####.#.##...######.#######.##########.###...#.###......##..#.#...##....##.#.#..##.#..##..########......#.#..#..##.##.#..####.#.#.#.....#..#.#.#.#.##.###.##.##.##..##.....##.#..##.###.#.##...#####.#####....#
#.###############.#...........##.#.##...#.###.###.#.#.#.####......###.####.##...#..######.###.#.###...####.##..#.######.#..#.#####.#.#.#.#.##.....##.##########....#.##......###...###....#.###.....##.##.#.###....#..........#.#.#.##.#...........##.......#.##.#.#.##...#.#.....#...###...#########.##.##.#.....#.##.....#.#..........#.#..#.#............##....#######.###.###.#.####..##.#.#..##....#......#.#.#.#....#.###....#.#.##...########.##.##.##.####.#.#......#.#.##...#.##.###..##.#...#.###......##....#......#...........##.############.##..###.#..........##.#..#####.##.##..##.#.#####....#.#.##........###.#.##.##.#.#...##..##......##############.###.#...#######.#..#.##..#.##.##.##..###.######.#.##.##.##.#..#.##.#......#.#.###.####.#......##..##.#.....####.#####...##..#.#....###.#.##....#.###.##
#.....##.....#.#####################..#####...#.......#.#..######.###..########.#.##..#.###.#.#.#.###.......##.#..#.#...##########.#####.#.##.##.##..#.#...#####.##########.##...#...####.......#.#....#....#.####.#.#.####.#............###.##.##....#####...##......##.##.########.##...#.#..........######.#.#....#####.....#####.#.##.######.#.########....##.#..................#.##.##...#.###.##.######.#...#.#.#.#########.#......###.................#.######.##.#......#.#...#....##.##.###.#...######.#####...####...#.#.#.###.#######.####.#...##.....##.##.#.##..#.##.##.#..#..###..###.#.#.####.###.#########..##....#......###..##..######.###.....#.##.#..##...#.#.##......##....##.##..#..##.#....#..##.#.#........##....#.######.###..##...##.#.########.#....#####.#...#..##.####.#.###.##.#....###.##.#....#
##.##..#####.....##......#.#...######.##.#..#...##.##.#...##.###..#...##.#.........##.#..#............####.###.#.##.###..##............######.#..###.....#.......#..........####.##.##.#######.##.##.#...##........#.###....#.##.#.#.##.##...##.##.##..##...#########.##.##.#.#..##...##############.#.#...##.####.#.......###.#.....#.##.###.##.###........##.##.###.#####.##.##.##.........#...#.####......#.###.....####......#.#.####.#.########.######.###.#.##...########.######.#.#####.##..#..###.##.###.#.#.############.#.###...#.#........#.##.######.############.####.#..##...##...##...#.#.##....####.#....#..######.#.#.#####..####.#.#......#####...#..#.#######.#..#####.####.#....###.#.##..####.##....#.###.####.###.#.#.##......##.##..#.#..#..#..##...####...##..##.##.##..##.#.#..#..##.#.####......#.##.#
####..##.#.##.##..######...###.#.#....#....##.#.##.#..###.##.#.######..#.#####.###.##.##.########.#####........#.#..####..######.##.##.##...#.##.#...##.###.##.#.##.######.##....#..#...#.##.#.####..#.#####.##.#.#########.#.#..#.#.#..###.###.##..#######...##.#.......##.#.##.###.##..#.#...#####.#.#.#....##.###.####.##...#####.######......#...#.##.#.##.#..#####.#.#.##.##.#..#.####.###.##.##.#.####.#.#.#.##.###.######.#.###....#.##..##.####.##..##.....#.#.#.#...#...##.##.#..##.#..##.##.###....#.........###........#####.#.....##.###.......##.##.##.#..##..#...##....####.#####..###.#.#..####..##..####...##....#...#.###.#.##..#.#.#####.########.##.#...###.....##.....#########.#...#.###..##..##.##....######....###.#..#####.##..#..####.##.##.#####.##...#####.#...#.###..#.#.##.#.###.#.##.##.#####..###
#.###......#####.###..####.......###.##.#.###.#..####...........##.###.#..##.####.....##.#.####....####.#.#.##.....##.###........##.##.####.##########..##..#..#.#..#......###.###.####......###.#####.#...###..###.##.#.#..#.#.##.#.#.##.#.#...#..####.#...####.####.#.##..#.#..#.#..##...#.#.......######.###...#######.###.#####..#########.#.##.##.#..#.##.##.#.........########.######.#....#..#.#.#....#.#.#######.....#.....##..##.#.###.#...##...#.####.########.###.###.##.#..##..#.#.##.......####.#######.#.....####.#.#.....##.##..########.##..........#.####.##.##..##.#.##.#.#.##..##...#.##..##..##......#..####.#.###.#.....###.#.#.#..#...#..........#.###.####.#######..##.#.##..###....###..##.##.###.#.#.#..##.####..#.##.#....##.#.##.#...#.....#.#..####.#####.#.#.#..#..##.#......#.#...##..#..#.##.####
#...######.#.#...#.##.#....##.##..####..#.##..##.#..####.#.#.##..#.....##.....#...###.##.#.#....#.##....#.######.#..#.#...##.#.#.##..###.....##.#.#.#..##..###.#######.##.##...#....####.##.####..#....###..###.##...#.....##.###..#.#.#....###.##.#....###..##..######.###.#.##...#.#####.###.#.#.####.#.###...#.......###.####..####.##......#######.##.#.########.###.##.#........#......##.#...##.######.#.#..#.##.#####.#.#.#..#.##..#.#.#.#.#..###.#.#.#...#.####..###.##...#...##..##...##.###.#..##..#.##.#..###.#.#....#.#.#.#.########........#########.#...#.#........###...##.#...###.####.#..##..##.#######.##..##....#.#######.#.#.#.#.##.###.########.#....##..###.#..####.##..#.###.#...####...##...###.###.#.#.##..##.##.#..#.####.#..#....###...#.###.##..##....##....###.##.##..######...##.####...##.....#.#
###............#........#.#######.#.##.##.##.######......#.#.###.#####.######.##.##..........#.######.#.#.#......##.....#.####.###..##...###..........####.##..#.....#.#####.###.####..###...#.##.####..###..##..###.###.#..###...##.#.#.####...#######.##..####....##...#....####.#.##.....#########.......###########.###..#.##..##...##.###...##....#..###.#.##...#...##.##.########.###..###.#....##.....#.#.##.#...##.#.###.##.#####...#...####.....#.#.##.##.#.#..##.#.####.###.#..#####.##.#...##..##......######.#.########.#####.##.#.##########.###########...##.##.##.#...#..#...###.#.#.##.#.##..##...##.#...#..######.#..##.#.#.#.#.#.......#..#.##..#######.##.##...#.##.....##....##.###.#.####.###.###..##......###.##....#.##.#.#..##.#.####.#.######..#..##..########..##.##....####....####..##..#.#..#####.#
#.#####.#.######.#.##.#.#..#.#..........#..####.##..####.#####.#.#.#.#.#.#.##.##..####.##.##.#..#######.#.###.#.##..##.##.#.....##.########..####.#.#....#######.###...#.#.####..#..##.##..#......##.##.#...######.......#.##...#..#######.###.##.#..##..##..#.##.#..###.####.#.#.....#####..##.#.#.###.##.##.##.##.....#.##.#.##.####.##..#...#.####.###.#......##.##.#..######..#.#.####..##...#.##..#####......#.###.#.....#####.##.####.###..#.#####.....##.##.#.##..#.#..##..##....###.....#########..######.##...#####...#.#####.#.......#................##.####..###...#####.##.###..#..#......#.###.####..#.#.####..##.##.#.###.......#.#.#####.##...###...#.#...##..###.#..#####..#.#.##..##.....##....#.#.##.######.##...#####.#......##.#.....##..#.##.#.##.##..##..#.##..#.##...##.####.####.##.#.##..#####...##..#
#.##.####.#......#.#..######...#######.##.##.......##....###.......#.............##....#..##.#.##.##....#.##..#..#####..#.##.#.##..##.#.....##....#.#.######.##..##..#.#....#.##.##.......###.#.#.....#####.#.##.##.##.#.######.####..#.....####..##....####.#.####.##...###..#.###.#...##..##.......####.........#.###............##...##.#.#.###.#############.#...#.##.##..###..........#######.#..##.########...##..#####..##......#.#....##......#####.##..##....##.....####..####...###.####.#.#.###.###.....###...##..#...#.#.....#.#.#...#.####.##.#.##....#..#.##...##########.#.##.##...#.##........#.##.#.####.##.##..#...#.#######.#.####.##....###.#.#.#.###.##.##.#.#.##.#.##.###.#..#######.#####.#..........##..###...#.#.#####.##..###.#.###.#.......#.###.##.##.###.#....#.#...#.#.#.#..##....##...##..####.##
#.....#...###.##.#.##.##.....######....#######.###.#######.###.###.###.###.#.#.#.##.#.###..#.####....#.####..##.##.....##..###..##.##.####.#####.##.###.##.#....###.#######....##########..##########.###......#..########......##.##.####.##.#..######.##.#....##..###.##.##.......###.###..######.##.#..##.##.#...#...####.####.#####.##########...#.#.#.#.......#.########.....##.#.#.###.##.#..##..#.#.#.####.#....##.....####.#.#.....##....####.......###.##.#######.#..#.##.#..##.##.#.#.#..#.#.#.....####.###..###..####.#.###.#.#.##########.######.#####.##.#.######.#.#.###........###.###########.#.#....##.......##...###.#.##..#....##..#####..##.###...###.##...........#....##..##..#.#.##..#.#..######.###.##.##.##.##.....##...#.##...###.#...#######.#......##.......#.#####.##.#.#...##..#.####.##..##.#...#
#.###...###...#######..#######......##..##..####...#...........#.......#...#.#.#.##.#####.##.#..###.####.#..#####..#.#.###.#...######.##.####.##..###........##.##..#.#.##..##.##.#######.##...##.........##.#...####.#.#########.....##.#......##.#.##....#.####..##.#.##..###.###.#.......##.......#.##########.#.#####....#.....##...#..##.##.###.....#.####.#.#########.#.#.#.##.#.#.#....#.#.####.#........#.####..#####.#.##########..#######...#.#.#..##....#...######......##..#.##.....##.#.#.###.#..#.#..#..##...###......#########.#.#.#...##.###.#..........#.#.#......#.#.#####.##.###.....#.##..#.####.########.##.#...#.#..##.##.#.###.#.####.#...####.#...#####.######.##.#....##..##.#..##.#...###..####....#.#...#..##.##....#.#.####..##...###...##..####.##########.####.....#.#.##.######..##..###......###
#.#...###...#.#.##....##....#####.#.#..##..##.#######.##.#.##.##.#.#.#.#.#.#.#.######..#...####.#.######...##.....##.#.#.#######.###..#..........###..#.#.##.##..##.#......##.....#........###....##############.##......#.#.######.#..#.######..#...#..##....#.##.#..#....##....#####.##.#..#######...###.##.##..#.#.....#.###.#.####.##.##..##.#.#.###.#.#.##.#.#....##.....###.####.######.#.###..#...######.###.##.##........##........####.#...########.####.##.###.##.####.#####...#..###.##.#.#.#...##.#.##.##..#####.######.#..##.##......###.##.#.####.####.##...#.######.#...#...#.#..#######...###.#..##....##...#.######.....###..###.#.#...#.##.##.##..#.###.....###...#..#######.##.###.##.##.#.####..##.#..##...#.#...###.#..#.##.#.#.##.###.#...#.#####.##....#####.##...#.#####...#......#.###.###...##.#####.#
#.#############....########..##...#.##.###.##...###.###########..#.#.#.###.#.#.#...###.#.#..##..#..#.#.###############.#..##.###.#.##...####.#.#.#.########...##############..###.####.##.##...#.##.....##.##.##.#######.........#####...##.####.###...##..##...##.##.####.#####.#......####.#.####..#.....#...#.##.#.###.###.###.#.#..#...#.###.#.####.......#.#.####.###.##..####.####.........###.#####.......#......#######.####.#.##.###.#.#####..#.#.#.#..#.....#..##...#..##.####.##..####..#.#.###.#....##.##.##..#...###.....##..#####.#.....##....#.#.#....#..#....##.#..#######.#.#.##.#.#####..#..#.######.####...#.#..###.####..###....###.#.##....###.#.###.#########.#.##.##.##.#..#.#..#.##....#.#.##..######.######.#.####.###..#...##.....#####..##.#..##.#..##.#....#.....#####.#####.##.#.#...##.##........#
#####...........#.##.##.###.##..########......#.....##.##.#..#..####.#.#...#.#.#.#.......#.####...##.#...#####.#.##.#####.#......#..###.##...#.###.###.#.##.######.#.##########.........######.######.#...........#.##.#.#######.#.#.#.#....#.#......#..##.#..#.#...#..#.#.#.##..#####.####....#..########.###.#..###.#...#.......#.##.###.#.##..#.##.#######.########.#...#####.#..#..###.#.###..#......#######.######..........#.######.#.......####.#.....##.#.#.#.#.###.#.##.##...#...#.##.#..##.#.#.######.##....###.##.##.####.##..##.##..#####.#####.#.####.#.##.##.#....##.##.#......#.#..#....###.##.#.#.#..#..##..#...##.#.#..##..##.##.#..#.....####..#.........##.#.#........##.#....##.##....###.##.#.##.##.#.#....##.#.#...#######.###.##.#####...##..#.#.#####.###.##.####.####.#.#.###...##.#.##.##..###.###.###
##....###.#.###.#.#..........##..##......##########.......##...##....####.##.######.###.#####.#.#......###.##....##.#.#.....####.#.########.#####...........###............#.#########.###.#.####.....##.#.#.####.#.##.#######.........####.....#.##.#.######.#####.##........#.###....#....##...##.##.#.......##################.#.##.#......##.#..#.#.#..#...#.#.....#####.#.#.##.#.##...###.##.#.######.#.#....####..##.#####.#.##.#.####.##.###....#####.##.#.#####...###.#...###...#...##...##..#.#..##.#..####.##.........#.#...##.#..###.####...##.#.#.##.###.##.#####.#.......#.####...##.####.#........#.##.#.##..##.#.#..#...##..###.#####.#.######.##.#########..#.#.########.##.####.##.#####.##..##...#..#..#...####....#.###.##.#...##.##.#.#.###.#..##.....##..#.#.##.#..####...#.#...###..#.#.##.#..##...#.###.#
#..######.#.##..####.#######....###.##.#.#........######.#####..##.#..##...####.#.###...##......####.#.....####.##....###.#.#.......#.###.###.#...###.##.####.###.########.#.#.#...###.#........#####.#..#.####........##....#####.#.#.#....###.#.#..#.##......##....#####.######.##.#.#.#.#####.##.#..#######..#.#.##...#.............####.#.#....##.#.##.###...#####.##.#............######..##...##.##..#.###.##..##.#..#.......#..#.#######.#.##.#..##.#.#.....#.##.###...#.#..#######.##..#..##...##.##.##...##..####.####.#.##.##..#.##.###..###.#..#.#.#....######.#.########.######..####.##...########....#.#..##.#..####.###.#..##.#.#..........##......##....###.#.#..##.##......#.#..##.#.#...##.##..#.##.##.#.#..#.####.#.#.#..#.###..#.#.......##...###.#####..##...#....##..###.....###.#.##.#.##.##..###.#..##.#
####.#....#####.##.####.#####.#.##..######.####.#.........#.##.##..##..##.##.......######..####.#....##.##..##..#####.#.###########.#.#.#.###.###.#....###.##..######.#..........#.....#.#.#.##.......##.#.#....##.###..####.##....#######.##...####.#..##.###....#.###.##..#.###..##########.##.##.##...#..###.#.#.##.#.##.##.#######.#....#.####.##...#...####...##..#..###########.###.#.##..###.....##.#.##...##..############.#.##.#.#.......#####.#......##.##.##.#.###...##.#...#.#.###.##....###..#.....####.##..####.#.#..#..##...##..###.....##.....##.#####.##.#..##..##....##.##..##...###.##.#..####.##.#.######..#.#..##.##..#.#.########.###..##.#..##.#.....#.#.##..###.###.#.##.##.#.#.####.#####.#.....####.#..##....#.##.#.#.##.#.#.##########.##...#.#..#####.#.##..##.#.#.##.##.............##.####...###.#
#.#....#####.#####............#..####.#.#####.###.#######.#.....##..#.##..#..#####........#######.#.#######..##..#.#..#.##.#.###......#.#.#.#.#.######.##..###.#.#......#.#.#.#.##.#.#.#.#####..#.#.#.##.#####.#######.##.#...#######.#.....######...#####.####.#.#......#.##.#.##..#.#.#.........#.####.##.#.#.#.#.####..#######........####...##.####.##.##..#.#..##.##.#...####.##.#.#.#.###.#...###.##.#.#..#####..#.####.##......#.#.######.##.##....######......#.#.#.###.######.#.....#.###.#...##...###.#.#.....##......##...###.#####..####.#....###.##..##.#....##....######.#...#.##..####.....##..###.#..#...##.##.#.##.#..#..##.#.#.#........#.######..#####.###.#..##..#####....##.#..#.#.##....#.#..#####.##.#.#.##..#.##.##.....#..........#..##..##.###...##..##...#####..#.####.######.##.#.##.#..##.###...#.#
#...#.#####..#.#.############.##.#....#...........####....##.##..##.#..##.##.#.....#.##.#.#.......#.#.##.###.###.#.##...#........####.#.#.......##.#######...#.#.###.##.###.#.#.#..#.######.#..##.########..##.#............###.........##.##......#..##...#.####.##.###.#.##.#..##...#.##.##.###.........#.#.#.#.#.#.#..###..#...#.##.#.##...#.....#.#.##..##.####.##....###.......#.............#.##.....#.##.#.#.##.#.#.#...####.###.#.##.....##.#########....##.#...#.#.##...##.##...#######.###.#..##.####.#.#.###..######.###.##.#.#.....##.####.######.#..##..##.#######.#.#..#...#...##.##..#####..##.#.....##.###..........##.##..#.#.#.#####.######....##..#....#.#...##..##.#.####.##.##.#.#..####...##.##....#.......##.#.##..#.###.######.#####.###.###..####.#..##..#...####...###...##.#########..#.##....#.###.#
##.#####..##......#.#.######...#.##.#.#############....##....###.#..#.###########.####..#.#.#.###.###....#.#...#.#..###.######.####...#.#######.##....##.###.#.#.....##.##########.#.##.##....###.#..##.###....#.#.#.######.#.#####.##.#######.#.###########...##.#..#........#.#####.#.##.#########.#.##...........#.#.##.##...#.#.########.######........###.##.#.##.##.####.####.##.#.#######.##.#..#.#......#.#.#......###.#.#..#.#.#.######........###.####.#..###.#.#.####.##..##.###..##....####.##.#....#.######..#.#....##.#....###.#..#......#......#.####.....##.#...#.##.###.###..#.#..##.....##..#.#.#....#.#####.###.##..##.##...#.##......#.#..######.####.#.###.#..##....##....#.##.#.#.##.####.##.#####.#######..#.###..##.###..##.....##.#.#.#...##..##....####.#####.#..###...#.#...##..#..##.#..####.....#.#
######.##.#######............###..###.#.##.####.....######.###.#########.#..#.......###.#.###.##..######...###.....####.#..######.###.#..##.#...####.##......#.##.#######.##.###.###.#.....#.##...##........##.#.#.###.........#########.###...###..#####.####....####.#.#.##...#.##..#..###.#....########.##.#.#.#......#.##.#.#.#.#...##.#####....#####.###...#...#####.#.#####.#.######.#.##...#.#######.###...#.##.##.##.#...##.#.#.#..##.###.##.####....#...#.##...#.#..###.#..##..##..####.###..#.#######....##.###...####....####.#.####.#############....#.####.##..###........######.....#######.###.#.####.###.#...#.#...###.....##.##.######.##.##.##.#.#......#..##.##..####..#.##......#.#.##.#.#..##.#.#.....#.....##..###.####.##.##.###..#.#...###..#.####.#.#.##..####...##.#####.#.#..##.#.##....##..##.####.#
#.#.#........##...#.#.#.#.##.##..###.....#....##########...#....#.##.#.#.##...####.##...####..##.##.##.###.....#.#........##.##.#.#...#.##....#...#...######...####.##.#......#..###.################.#####.##.#.###...#.#.#.#.....##.#......######.#.##.....###.##....###.###.##..##.#.###..##.#.#...##.#.#..#.#.##.###....###########..#.##.#..#.####.#.#.###.###...##......#.#....##.........#.###.#.######..#......#.....###........#.##......#...#.####.###.######.#.#.##.#.##..##.###...##.#.##.#..##.#.#.##..#.#.###.##.####..###.#..##....##.##.....###.##.#....###.#.######.#..##....#.####..###.#.#.###........##.######.#.#####..#.##..##.##.##..#.##.#.######...##...##.##.##.#########.#....#.#...##..#.###.#.###.#..#.##....##..##..######.#.#.######.....##.###.#..##..###....#.#...#.#####.#..####..#.##.....#.#
#.....##.#.####.#.#.#.###.#...####.#.###.####.#.##.#...###.#.##.#..#.#.#....##############.##..###.........#.#.########.#..#.##.#.###.#.###.#####.###....#####..##..#..##.###.##.#.####.#.#.##.###....#......#.#####.#.#.#.#.##.##......#.######.........###..#####.#.##...#......###.#.##..##..#.###..#.#.#.##.#########.#..#####.#.##.##.#....####......#.#.#.##..#..##.###.#.###.#######.##.####......#.#.####.#.#.#####.##...#.####....##.#######....##..######.#.#.#........###.#..#.###.##.#.#..##..#.#.#####.#...###.##.#....##...#.######....######.#.#..#.#.##..#....##.#####.########..#.##.........######.#####..#.#.##...#.#.##...#..##......##.#....#.##..#..#.####.#..##.....#.#...##.#.#.##.###.##.##.#.###.#.####...#..#####.##..###...#.#.#..##.##.#####...##.##..#.##...####.###....##.....##..##....##.#.##.#
###.######..#.#########...#.#.#......#...............#.....#.#..##.#.#.#######....#.#......#####...##.####.#.#.#........##................####..#.#.####.#..##.####...#####.........##.............######.#.#####..#####.#.#######.##.#####.##.########.#####.#.#.#######.##.####.......##.###.####.##...######.#...#..#####..#.#........#.######.#######.#.#....##.##.#####...........#.##.#..#.####.##.......#########....####.###..####.####.##.#####.##.##.##.....#.###.##.#.#.#.##...##..##.#.##.###......##...##.##...##.####.####.#..#.##..##.....#....##.#.#####.####.##.#..#....###....##..#########.#.#.#...#..##.#.#..###.#.#.###.##.#######.###.####.#.###.####.#.##.##.######...###......###..##..##.#..#.##....##.###...##.#.#..##.#.###.....#.###....#.##..###..###.#..###.##.#.....#########..##.##.####..####.#
#.####.#...##.##..##.#..#.#.#.####.####.####################.##....#.#.##.##.####...######....####.#..##...#.#.#.#.#.##.##.#.#.###.#.#.#.##..##.....##.#.##.....##..#..#.#..#######.#..#.#.#.###.#..##.##.#.#.#.##.##.########......####.#.....##..######..........#.##.###########.#.#..#.#....##..##.#...##.#####...##.####.#.########....##.##..#....#.#.##.####.#....#.#######.###.#.#..#.##...########.##.#.#.#.#.###.##.#######..##...##..............##.##.###.#..#####.#.#.#.#..#####.##.#.##...##.###..###.....###.#....##..##....##..#########...##..#...##............##.###.##.##.#..##..#.#...#..#.#...#...##..#.##..#.......##..#..#.#.#....#.##..........##....##.#...##....###.######.##..###.##..##....##.###....#.###..#.#.##..#.#.####.##.#.####.#..#.##.##..##.#.##.#..#.#####.#.#.##.##.##.......###..##..#
#..#...#.#.##.##.##..##.#.#.#########.####...###.#..##.##..#.###.#...#.##.....###.#.##...##.###.#..##.#..###.##########.##.###.#...#####..##.###.##......#####.##..###.#.####..##.#.#.##########.#.##.....#.#.......#.....##.#####.##......###..##.#....####.#.#.#....#.##........######...#.##..##..###.###...#.#..#.....#.#.....#.##...#.##...##.####.#.#.....#.######.#..#########....#.######.##.##.#.###........#.#...##..##..###..##.##..#.##########.##.#####....##.##..#...#.##..#.#...#...###.########.#.#####.#.#...##..##.#####..##.####.#....#.###.##.##########.#.#..#.###.#..#####.###.#.###.##.#.######.####....##.######.##..##.##.#.###.##..##########..####.##.###..####.#...##......##...#.###..####....#.##.#...#.##.#.#.##.##.#.#.#........#.#.#.##.##.#..##....##.##.#..#.#......##.##....#.#.#..##.####.#
#.##.#####.##.##..##....#.####....#........#...#.##.##.##.####.###.#...####.#.....###..###..##..###########..##.........#..##..###.##....##..#...##.##.#........####......####.##.#.###.#...#....###..#######.#.###.#####.##.#.########.#######....###.##....#.######...#####.###..#.#...#.#####....##....####.#...######.....#.#....##.##..###..#.#.#......###...##.##..#.##....##.##.#####.#.#......#....##.##.###...###..##..##.#.##.##.##.##.#..#.#####.##...#.###.##...##.###.#.#..##.###.#.###.#.##.##....#.###.......#####.#...##.#.##.....#.######.#...#...#.#.#.#.#.####.#.....#.##.#.#..##............##.##..##.####.##.#.###...##..#.#....###..#.##..###.###.##..#.##.###.##....###.#####.######.#...#.##..####.#.######.#.#....#.#..##.#...#.########.#.#.##.#....##..##..#.#..#.##.###.##.##.###.########..#.#.##.#
#.##.##.#..##..#.##..#.#####.####.####.#.###.#.........#...##...######..#########..###.....##..##.#.##.#....######.#.#####..######..##.#..##...############.###.#.####.####..........#..###.#.#####..##.......###............#.#.###.####....#####.#.#.#..#.####...####.#.#...#...##.##.#####.###.#..###.##.#..#####.###..#.########..#..##.....##.#.########.#.####.###.#..####.#...#.#.##..#...####...##....######.#..###.###.##..........#######.........##.#...#.#.##.######.#...#.###..##.#..##.#.##..####.#.#...###.###.....##.##..#.##.###.#.##...#####.##.##.......####.#.#####...#..#...###.#####.#.##.##..##.##.###...#...#.##.####.#.###.##...##.#..##........##....#.#.#.#####......#..#.#.##.#.###....##.#.......##......#.####.##....#.#....#.##.##.#.#....#.##########.#.##....#.##..#####.#.####.#...#.##...##.#
#....#....####.#.##.##.#.............#.#.#...##.#.####.###..#.#..##.#..##..#...#..##.#####.##.##....#..######.##...#.##....##......##..##..#.#.#..##..##....#........#.#####.##.##.#...####.#####...####.#.#.#########.###.#...#.#....######.#.##........##.#.####..........#.#.#........##.#.#.###.##......##.#.........#######.####...#######..#......#..#.....#.#.....#.##....###.#.#..##.##.####..#.#####.#......##.....#....##########..##.#.#########.######.....##..##.#..###.#.#.##..#...##..#.#..##.#..#.##.############.##..##...##.##.....##.###.......########..##......#.###.##.###...###.#######...##.#..##.....#...#...##.#.#....###..###.##.#.########.######.##...#..#########.##...#..#.#.#.####.##.####.##########.#.##.#..###.######.##....##.#.###.##..##.###.#.....##.###..##.#.##..#..##..###....#.####.#
####.####.##.....#######.#.#########.#######.#..######.#.##.####..#...####.###.##.##....#......####.##.###.....##.####..#.##..##.#########...####.###.#..###########...#..############.##.#.##..###############.#.#.##########.#.####...###.......####.#.##.#......#.##.##.############.###.#.#.##..####.####..#.#.#.#.#.##...#.....##.###.##.##.######.##.####.##.#####.#.#####.#.#.....##..#####...####..#..#############.###.####......##..#.#...#.###.#...##...#.#....###.##.##....#..##.#.#..##...##....##.#.####.........#.....#####.####..###......#######.#.##...##..####.#....#..#..####.###.....#.###.###.##.#########.##.#......####.....##....#.#...##.##..#.#..#.####...##..#.......###...##.....####....##......##......#.#..##.##...##....##.####....###.##.###.#.#.##.####..##..##....###...###.#######....##..#
#..........###.###.#..########.##.....#.#.#########.......#..#.##.##.###.#.##......####...####..##.........##.##################.#...##.####.##.......#####......#####.#.##.#..#.##.#.....#..##..###.##...##..........................#.#.#####.######.#.#..###.#.#####.####.#.#.######.##..#.#..##..##..##.##.##############.#.###.####.#..................................##.#.#.####.####..##.#####.###.####.###.##......###.##.######.##.##.###...#.....#.#########.#.#.#.##.#####...##..####..###..####..#.#..########.##.###.#..##.#...##########.###..........###.#..##.#######.##...##....#.#####.......##...#..##..##.#########.###..###.#..##.#.#.#.###...##.#.##.#..####.####.######.##...#..##.####..####.####.##..##.#.#.#...###..###..###.##..#....#.##...##...#...#.#...#...####..##.###.##.###..##...##.######.#
########.#...#.##..#.##.##.....#..#.#.......#.......#.#.#...##.......##..#.###.###......#.#..##.####.#.#.###.....#.#.#.#.#.#.#.#####.##..############..##.##.###...##....##.##...#....###.##.###......###.##############.###.#.#####.##.........###....#.##.#...#.#.....#....#...........##.#.##.#..####.....#..##......#.###.###.....##...###########.###.########.#######.##.#........##.##.#....##..#...#.#..#......#.##.....#............##.#.#.#.###.#.#..#.##.#.###.#.#.##.......#####..#.##.#.#.##..##.....##.....#####.######.#..#.#...###.#..#...#######.#####..##.....##..#..###.######...##..#.####.#####.##.###.#..###.#.........##.###.#####.#.#.#.##.##.......##.#..#.####.##.##...###.##....##.##...#..#..#.##.#######...###.#.###..##...#..##.#######.#.##.###.###.#.###.###..#.##..###.##...##..##.##...##.#..#
##.###.#####.#..##.#.##..#####.#########.##...####.########.########.###.#.#.#.###.#########..#.#.#########..#.#.......#.#......##.#..##.#.##.#.#.####.#...#######.#####..#.####.########.##..######.##.#.#.##.......#.#######.#########.###.#.##...#.##..#####.#####.#.####.###########.......#.##..#.#.###...########.#.#.#..#..###.######.####.###..#...##.#######.####.....########.##.##.####.###.###.#.##.###########.#.#...##.#######.##.#.###.#.######.........#..#....##.##.#..##.##.#.##.....###.####.########..##.#.#.##.#.#.####.###.#.##...####......#.#.##.######.###.##.#.#.##.....#.#..####.....#.#...#.#.#.#.##.#.#####.###....###.#.##..#.#.#.##..#####.#.#..##....##..#.....#.#....####.##..###.##...####...#.#.####.##....##..#####.#.###.#.#.#.###.##..##.#.#.#.......##...#..##....##.##..##..###.##....##
#......##......##..#.#..##......####.#.######.######.#.#.....##.##.......#.#.###.###...#..###......##.#.#.####.##.####...######....##......##..........###.##..###...#.##..........##........##...##.##.#....#######.#......#..#.........##########.#####.##....##.##.####...#.#.........#.###......##.###...#.##..##.....#.##...##....##.#...........###.##.......#.......#.#.###..........#..##.......#.....#.#.##........#.##.#####........#.#.##..#.###..#.#.##.##.##.#.#.#########.##.##....#####..##.#.#..######.##.............#..##...##....##.##..######.#...##.#.##..............####.#.#...##.#..###.#.###.#.#.#.#.#..#..##.########.#......##...#.#.###....####.##.#####..##.####.######.##.......##....###.#.#..#.#.#...##.###.#####.##..............#.##..###.##...#...#.#.######.##.###.###...##.###.#...#..#####
######..######..##.#.##.######.##.#..#..##.####...#......#.#.....#######.#.#.##...####.#.##.####.#...........#######...#...##.####..##.#.#....#.######........##.###.#.###########..##.#####..###.#..##.###.##.....#.######...#####.###.##.#...........######.#.#...####.###.....###.##########.#.#..#..####.#####.#..#.#....##.######......#.#.#.#.#..#######.###.####.#.##.#.....########.##.####.###.##.##......########.###..##.##.######.#...###.#.#.##.########.....#.####.##.#....#.#..####...#.##..#...##.##.#..######.######.##.#..######.##..##.##.#.##.##.##..#.#..##.#.#.#####.#.########....#####....##..#.#.#.#.#.##.##...##......###.#######......#####..##...#....###.#..##.....##.#######.####..####.....####.#.###.#...##..##...####.#.##########.#..##.#.#..###.#######.##.#.....##...###.#...#..###.#.##.#.#
#.##.#.##.##.##.##...##...#.#..##.##.##.#.....###...##.#.###.#.#...###.....#.#..###.#....#..#########.####.#####.#...#.#.#....##.##.########.######....#.##.#..#.###.............#.##..#...#.##.#.##.##.#.#..###.#...###....#.##....#####....#####.##.##..#.#######..##......#.#.######.........#.##...##.##..#.#..####.####.#####.....#.#.##.###.#.####.#.###.#........#..###.##.##.....#.......####...########.###..##.#...#####...########.###.#.#.#.#.##.###..#...#.#....##..#..####.#.##.##.###.#..##.###.##.##.#.##.##...#....#.#..##.##..#..###.##.##...#...#.###...############......#..##.##.####.#.##.####.##.#.....#.##.####.###.#.#.###.#..##.##.#####.#...#####.##.###.#.##..###.###...#.#.....#...##.####.###.#..#.#.....###..#####....###.#.##.##.#..##.##.#.#.##.......##...#.#.###..#.####....#...##.....#..#.#
#..#.#..#.#...#..###.###.##.##.#..#.....####.##.###########..#####.#.#####.#.##..##.####...##...#.#####..#..##.....#.#.######.##.##.#.#.##...##...####.#..####.......#####.#.#.#......##.#................#.########...##########.#.#..#..#####....##.##.##.##.#.###....###.######..#...#.#.#######..#....##.##.##....####.#.#.#.#######.#.##..#######.#...#.####.#.##########.####..#.#...##.##.#..###.#.#.......###.#..##.##.##..#..#........................##.###.###.######.##..#.#.#.##.##.##....##...#.....##...#...########.#.##..#.###.##..##....####...#....###.####.##.#.#.######.#.##......##..#.#...##.....#####...##.#.##.#.#####.......##...#.##.##...#..##...##........##.#.....###.#.#####.#.#..#.#.#..##..##...#####.#.##..##.#.#####.....#..#.##....##...#.#..########.###.######.#.##.###.####.####.###.##.#
##.#.##...###.#.##....#........##.####.##.##.#..#.....#.##..###..............###..#.#....######.#...####...###############..............####.#..#......#########.#.#.#.....########.#..######.#.#.##.#.##....#..##.###.###.#.##.######.#.##.....#.###.#..............##..##########.###.######......###.#..#.#..##.######................###..##...#.....#....#.########.###.###.########.###.##...##.....##.####..#..##.##.#.....###...#.#.##.#.####.#.##.###......####..#.#.##..##...#.#.#..#..#####.####.###.#..###.##.##..##.##...###.#.#.#.#..##..##.#.#########.#.#.##...##.......##.#.#.#####.#..##.#.##.##..#####..####..#.#.#....##....#.#.#..###.#.#...######..###.#########.##.###.#.##.....##...####.#.#.##..##..###..##......#.##.....##.##.##.#.##.#####.##.#...#.##.##.##...#...##.##.#..#.#####.....#.#.#.#.##.#
#..#.#..###.#.#..####.########.........#.....##.#####......###..##.#.#.#.###...##.#.####..##.#..#.###....#..##....#.#....#.#.#.###.#.##.#..####.##.######.#.#....#.##########.#.#...#.###.....#.#.#########.##.##..###..........##.#.#.########.#.#...#.########.#########.#.#.#.##.##..#......###.##.####...#.###...##...#.#######.#.##.###.#####.####.#####.#.##.#..........#..#.##.##..##..#..#..###.#.########.#.##...#####.#.#...#.###..###.#....#..#..###.###......##.#.###..###.#.#.##.##.#.##...##..#.#.####...##.###.#...#.#..#....#.#.##....##..#.#.##......#.#..###.######.#.........##.####.#..........####.##..####...#...##.#..########.####.#.#.###.##...####....#.###.....#.#.#.######.####.##.....#..##.###.#.#.########...##.#.#.#......###.#.....##.######.#.##.#.....#...#.##.#....##.#.#...#.#.....#.#.##.#
##.#.##.##......##....###...####.#.###.#.###.....#.##########..##..#.#####...#....#.##.##.##.##.....######.######.#.####.########..####...###.#########.#.#.####.####.#.##........#.####..#.#.#####.###.....#..###.#.####.#.#.#........##.#.#####.###.###...#....#..#.#..............################.######.#...#.############..##.#.#..#.....##.......##...........#.#.#.##.#.##.....##.###.#####.#...###.##..........####.########.#.#...##...####.##.#.##.#####.####......#.##.#.....#.##.#.....###....##...##.###..#.#.#.###.####.##.###.#.##.######.#.#.#######.....####.#.#....#.##.###.##....##.##.###.###....#....##..###.##.########.#.#.#..##.....#..##..###....####.#.#.#####...###.#.#.#..#.#...#####...##..#.#.#.#.#.....#..######.######.#..##.##.#####.#..##..#.#..##.##########....#####...#########.#...#.#..#
#..........#.##.####.##.###.#.######.#.#.#...#.#........###...####.###.....######..........#.####.#####.#...#.#.#.#.#.#..##.##....###.##.###..###.....#.#.#......#.......#######.#####.#########.##..#..#.#...##.....#.###############.##.#.#.#########...#.#######...##.#######.#.#..##.##.......#.#.#.#......###..##..#####.##..###.#.####.###..#########.##.###.#########....######....#.####..#.###.##...##########.###....#......#####..##.###...##.#.#......####.####.###..#.#####.#.##...###.#.###.##..#....#.##.#.....#...##.#.....##.#.####.#.#..#.#.#.#.#.#####.##.#.#.#.##.#.#..#....###.##...###.########...####..##...##.#..#.##..#.#.##.######.#.##..##.#.##.#.........#.###.###....#.##...###.#.##..#....##.#.....#####.#.##...##..##.##.#####..#..#.#....####.....###.....#.#.#####.#.#.#.######.#....###.#.#.##
#.#.##.##.##.#...#.#.#..###.#..##.#....###########.#.##.#.###.##.#########.##.....##.#.###.#..###..##.#.###.#.........##.#..##.#.##...##.##..##.#####.......#########.##..########.....#.#.####...##...######.####.#...#.#.#.#............#...#.###.#######..###..#.########.########.......#####.......######.#...####...#......#########.######.#######...#..##..#..#.#.#..##..##.#######.#..##.#.###..###..###.........#.##.#############.##.#...#..#.########.##.#.#....#.##...##.##.#..###.#.....##...#######.#......###.###.##.####.##..#..##....##...#.#.#..............#.##############.##...#.#..#...##..#.###.##.##..###.##.#.##.#..##.......#........##.#....##.#########.#.#.....####.#.###.####.#.###.#.##....##.######......###.#..##......###..##.##.#.####.#..###.....#####....##...#.#....##......##.#.....#..#
###########..###.....#.##...##....###.###..############.#.....#......#...###..##.#######...#.##.##..#.#.....##.######.#..##.#########..#.##.##...##.##.##.#####.#.#.#..##..........###.#.#..#.###..######.......##.#.#...#...######.#####.###...#...#.#.##..##.##...#.##.....#.##.########.###....#####.####.....####.###.##.#.#..#.##.#.#.##..####.......#.####..###...#.####..##...##.##..##......#...##.#.##.#######.######...#......#....#..###.##.#.##.##...........##....###.##.##...##.###.###..###..##.#...###.#.####.#...##.......##.##.##.##..###.#.#.#########.####.#.##.##.####......###.####...#.###...###..#..##.##..#..#.##.##..#.#.#.#...##.###..#.####..####.##.....#.#####........#...##.......#########....##...####.###...##.###.###...##.#..##.#....#.#######.#######..#######.....#.####.#.#.########.#.##
##.#....#...####.#.#...####..####.........##.#.#.#####..############...#..######.##.#....#.......##...####.#####......##....#.#.#...##.#.##.##.#.#...####.##....#.#.#.####.####.##.#...#.##.#.####.#..#.###.###.########.###.#..###.#.......###.##.##....##..#.#..#.#.######.#.##..#.#.....#.######........##.##..#.#.##...######.#........###.#.##.#.#.#.#####..##.###...#.###..##.##.....########.###....#.##...........##.###.######.#.##.#####..#..###.....#####.#.#.###.#..#..##..##.###..######.#####.##.###..##.#.#....###.#######.##..#..######..........#.#.######..........#..#.#####.##.#.##.###.#..####.#.#.##.##...##.##.#.#..##.####.#.#.#######..##.#..##..##..######....#..######.#...########.######.##.##.#..###..#.#.#####.##...###.#.###....##..#.####.####..........##..#..#.###.#####..#######.##........#
#....##...####.#######...#..##..#.##.###.##........#.##.##.####......####........#....#.###.####.#..###..#.##.#######..####.....###.#.......##.#####.##.#.#####.#...####...###########......#.#.##.##.#.#.###...#.#..##......#.##.####.###.####.#...####..##...####.#.#.#..#.#.##.##...#.###.##.###.#.##.#....###......#.###..#.#.####.###.....#....#########...###.#####.#.....###..#####.#.#.##....#####.#..#########.####...#..##.#.....#.###.#####.##..##.##.#.#######...##.##.###.#..#.#.##.#....#..##..#.#.#.#####.####...#.#.......###.##..#######.##.#.#........############...##.#.###..#..........##.#.#.......#.###.###.##.#.#.##..#.##########.#.#.##..#.##..####.#.#....##.##.#.#.######..#..##.#..##.#..##.####.##.##.......#.#..#.###.....#.#.######....###.#..##.#.##.####..##.##.##.....#..##..#.#...#####.##.#
##.#..#.####....#.##.###.##.###.########..########..............#.#.###...########.#.##..#####...##.####.......##...##.#.######.#.#.######.###..#.##.##.###.....###..#.#####..#...##...#.##.#.#.##....#.#.#####.....##..#.##......##.####...#.#.###...#..#####..##......##......#.########........###########..####.##.....##......#.#######.#.#.#####.#.##.#####.....#.#.#####...#.###.#....#..####.#.#.....###.#.##.#..#.###.##......#.#.###...#.##...#######......#####.#.#......##.##.#.#.#..###.##.##..##...#.##.####.####.#...#####.#.#.##.##.##..###..######.#.#.......####.##.##..#.#.##.#############.#.#######.#.#...##..#.......##....####.#.........##.#..##.#.#....###.###.#........##...##.##..##.##...##..#.#...#..######.##.#.##..####.###.#...##.#.####.#.#.#####..###.#..##..##..##.##.#.####.....#....#...###
#..######..####.................##.##..#.##...##.######.##.##.###.#...#########.#..#######.#.###..#.#..######.##..###.....###..........#.#.#.##.#....##.#######.#.#.##.#...##.#.#..#######......#####.#...#.....##.##..##########.#...#...#......####.##.#.#.##..####.#######.#....##..###.#.####.##...##.#...##....####.#########.#.##....###.#####.#............#.#.......#####.#.#.#.####.#.##.##.#.#####.#.#.#.#..##...#.#..################....#.###....######.##.#...#.######.......#.#.##.....##..#.#####...##...#.........###............##.#..##...##......#.#######..........##......#.###.##.#.##.#.#.#.........###..##.######.##..####.#....#.#####.##.#.##....####.#.####..#.##.###.####.....#.###.####..#.##.###.#.##..#....#.#.#..##.##.##..#.####....##..#.#.##.#..###....####.#..##...###.#####.##.####.##.####
#####..###.#.###.#.#.##.#######.#..###...###.##.........#..####...########......##.##............##...###...#.###.#.#####...#.#.#.####.......##.####.#....##.........#.##.###.####.#.##.#####.#.#.###.###.########.###..##..#.#.#.###.##.#######.#.##..#.#.#..##.#.#...##.#...####.##.##.#######..#..###....######.##.#...#####.##.#.###.#..#..###...####.#.###.#.#######.#....#..................##.#.#.........#.#.#####.#.#.##...###.#.##.#.####.###.####.............#.#######..###.#.#...######.###.#...##..######...#.###.#####.###.#.##.#......########.###.##.#.......#.####.#..######...............#.#.###.#.#.#..##.##.........###.##.#.####.###........#.###.###.##....#...##.#..#...#.######.#.#.#.#.#..##..#.##.....##.####.......###....###.#..#.###.##..##...##...##.###.##.#..#.####.###...##.#######.#.#.....#
#...##.#.#.....###########...##.#.##.#.#..#..#######.#.###...#######.##....####..###########.#.#.##.###...#...........#####.########.######.###.##.#.###.##########.##.#...#...##.............#..............##....#.######.........#.#..#..........##.......##....#.####.#####.##.##.##.##.##.##...##...######..####.###..##......#.#.####.##.#...###.##########.##.####.##.#...##.########.##.#..#...#########.#...#.#.#.#.#..###............#.#..##...#.##.########.#.#.##......######...#.....##.#.#...###..##....########..#...#########..#.##.####..##.###.####.#######.####...##........###.##.#.##.#......####.#.##.#...#######.#..##.##...#.#############.#.#...#.#.#####.###..#.######............#...#.##..##....#####.##......#####.#.####.#.#...##.#.#.#..#####..###.#..##..#..#.##.#.##.#.#.####.##..##......#####
#.#........#.#..#.#.#.##.###.#..#.##.####.#.##..#....#.#...###..###.....####.###.#######.#######.#...#######.####.#.#........#.##.....##.#......##...##..#.#.#....#.#..###.##.##..##.#.#.##.#####.#.#.######....##.#.########.#.#.#.....###.##.#.##....#.#.#..####.#.#.#...###..#.........#.#...###.####.#......###.#.##..########...#.##....#.#.####..........##.#.......#..###..#####......#####...#........#..##.##.#.#.#...##.##.##.#.####.#.##..###...#####.......#.#.#..###.##......#.##.##....#.##.##.#.##..##.#........##.#.##...#.###.###...#.##..#..##....###.....####.###.#######.#.#...######..##.#.#..###.#.#....###.#.#.####.##..###.....##...###.#..#.#.###...#.###.....####.#.######.####.#...#....##..#.#.###..#.#######...#####..##....#.###....#.#.####.#.####...####...##.##.#.##......##...##....##.#.....#
#.#.#.##.######.#.#.#..#.#...##.......##.....##.############.##.#.#######.#........##.......#.#....###.#.######...###.##.#.#....#####......#.##.###.####.#.#.####...#.###..##.########.###...##...#####..###.#.##.......##.####.######.#######.#.###.#.###.##..........##.##.##.###.#####...###.###..##########.#.#...###.#.#.###..#...#####.#......###.#.####..####################....######.####.###.#####.##.#.....#.#.##.##...########.......##.#####.#.#...#.#########.##...#######.#.##..####...##.#....#..############.#..#....#.......##..#....##.##..#.##..######..##....###.......#####..########..####...######.#..##.#.#..#...#..######.######.#...##.......#.#.#.#.###.#..##......##.#####..###.#.##....####...##.#.#.###.#.###..#..##..#.##.#.####.#....##.....#.#.###.#..#.##..#.#.#..##.###..#######.#####.####
#######..#............##.###.#####.##..#####.##..##...##..................#######.####.####.#...##........##....#############.#..#.#..##.#####...#...#.#.#.#.#.####...##..##...##...#######.#####.######.....#..##.##.#....#....#.......##.#...#.#...##########.#.##.#.......#...####.#.###.##..#.#.##.##.#.#.......#.......#.#.#####.##..##.###.######.####.##..#.#.##.###.##.##.#..####.......#.###.#.##.##......#.#......#.####..#..#.###.###.##............#.###....#....##.#..###....########.###......#.##.##.####.#.##..##.##.###.#.#.#.#..###.#....##.#####.##...###.#####.##..##.##.#...####.#.#.###.###..#..#.#.#.##.##...##.###.##..#.#....#.#...##.#######.#####.#.#...###.###.#.##....##..####.#########..##..###............#.##.##.#####.##....##....#.#######.#.#..#....######.#.#...#####.##..##..####.#.#..###
#..#.###.#.###.##.#.#..#.#.#.#.#######.#.#...###.####..#####.####.#.##.##............####.....#.##.#.####..########.#####.#...##.....######.#..#...#.....#.#.....##.#.###..##.####.##.##.####..####.#.##.#.#.#############...##.##.###.##....##########...#.###.#.#..#.##.##.###...#......#..##...#.##.##.#.##.#.####.#####.#.#.####...#.###.#.#..#.#.####.#..##.....#..#...##......###########.........#.....##.#.########.#.#..##...##..##.#....####.##.#############.######..##...#######.###.....###.######...#.#.#..#.###.#######...########..#######.##.#.#.#..#.#...#.#.###.#..#####..#.#..##............#####...#.####..###....##.....##.####.#.###....#.###.#.#.##..#.###..##.#.#.#.#..##....##.....#.#.#....###.##.####.####.##....#.##.#.##...####..##.######.##.#.#.##...####.#.##.....#.#.###....####..###.#...##.#
##.#...###############.#.#.#......#......###.#.#.#..#.##.##..#....######..##.##.##.####.#####.###..###....##..###.#.#.##..###.###.##...##.#...######.#.#...##.##....#.....##...##..##.......##........####.#.#..#.##.#.....#########....####.##.#.#.....#...#.#.####.#.####......#.####.#...#####...##.......#.#########........#....#.....#.#.##.#.#.##...#.#######.##.###..#####.##.........###########.##.##..####.#.##......#####..#.##..####.###..######.#.#...#....#.####.###.###....#.#...###..##.#.#.###.##...##.#.#.###.##..######.##..####........#.#.#.##.#####.......#...##.###.#####.###########.#.#.....#...##.#.#####.#....##.##....##.#.######.#.#.....#..##...#.##..#.#.##########.#..#####.......##.##......#####.#...##.###.........#..#.#.##...#.#.#.........#.####......##.######...#.####.#..##...###.##.#
##.###..#.#..................#.##...####.#.#.#.....##.##..#####.#.#......##..##.#...##........###########.###..........##.#.###...#..###..#####.#....#.###.########.#####..##.####..##.##.###########...#######........#.####.##.#####.##....##...#########...#####..###.##.#.##.#...######..#.####.##.###.#...#.........##.#.#...#.######.#...##.#.#..###.#.##.......#.#.#.##.##############.#...####.##.##.##.##.........#.##..#..##.#.#..###.....##.#........###.####...#.####...#.####.....######....#.#..##..#.####......#..#..###.##...##.##.#####.##.......#..##.####.#.#...####.#.###.....#.#.........#.##.##.#.#.##.#..#.##########.####.##......##.#.#.#####.##..##.##..##......#.#.....####...############..##.###.#.##..###.#..#.##.#.###.###.#.#.##.###.#.######.##.#....##.#####..###.#..###..#.#.##..#.#.#...##.#
#..#.##...#########.#.###.#.######.##......#.###.#..#..#.##.#.#############.##..###.###########...##..........#.##.#.#......#####.#.##.##.##.##.####.####...##.#.####..###.......##.####...###.##...##.##.#.#.######.#.###.........#########.##.#..##.......#..##.#####.....#.##.###.#.##.##...#.##.##.######.##.#.###################..##.###....#.#.##...#..#####.#.......##...##.###.##....#.#.........##..#####.##.##.######.#.##....####.##.#.#########.##..##.#..###...#.#..###.#..########..#####...#.##..##.#..######.##.#.###...###....##..##.#####.####.##.##..#...########.#.#.##..###.....##.#.#.##.#..######....#.##.#.#...###...##...###.####....#.#.#....##.##..##..#.#.####...##.##..#.###....#.#.#.#.###.#.###..##...####....#####.#####.#...##...#....##.#####.#.#####.#.##..##...##.#.##.#.#..##.###.###.##.#
##.#.####.#...####..###.######..##.#######...#.#.##.#.##.##.....##.#.##.#....####........#..#...#....#.#.#.##.####.#.####.#.......#.##.......##......##...#....#.#.#..##.##.##.###...##..#..#..####.#...#.#.#........########.####.#.#..###...###.############..#...##..##.##.####.....##..###....#.####.##.#.######...........###.#.##......####.#....###.#.##.#.####.###.##..###....#.#####...###.#.#####..##..###########........####..##...###..#..##.#####.##....##.###.#.#####....#####.#.##.#.##..#.#..##.##.#.##.#.............#..#####.#..##...#..####.......##...#.##...##....#..####.#.###..###.#.#######.#####.#....#.#.##.##.###..###........####...#.###.##..###..##.###..####.###..##.#...####.....#...##.....##.###.####.#.#####.#...#.#....###..###.#####...#......###..#..#.##..#.#..#.##.#...##..##..###.##.#
#...........#......##.....##.##....#.......#.#.####....#.#####.##..#......##############.##.##.###.#########..##...#####..##.###########.###....#.##.##.#.#.##.#.#.##.#...#.#....##.#######.##........#...#.#####.######..##..#......##.#.###.#...#.#.#.##.#.##...###..##..##..##..#.#....##.####....##.....###...###.#.######...#....######.#......#####.....#.#..#.###...###.#.####...#.#.#.#####.########..##.....###.#.########.#.##.#####..#..##.##..#.#....####.#..##..#.#.#.####..#.........#.#..####.##..##.#.#..###.#.#####.#.##..####.##.####.##.#....#####.###########.#####...##.#..####..########.#.##...#..####.#.........#.#.#.##.########.##...#...#.#.###...##..#..##.##.####.#.##....###..#####.###.##.#.###..##...##....###.#.##.##...##...##..##..##.###.#####.##.##.##...##.####.##.#..###.###..##.....##.#
##.####.##.####.#.##..##.##..###.#.###.#.###....#...####.#.##...##.###.#.####...###.##.#.....########.#.##...####.###..##.####.........####..##.#..###..######.#.#.##.###.######.##..##.#...####.########.#..##.#####..##.#..#######.#.....##.###.............###.#.#.#######.##..####.##.##..####.########.#####..########.####.####...##.#...#.##...#.##.##...##.#.#####........#####.#.#.#.#...####....##.#######.#.#..........#.#.##...####.##.##..##.#.##.#...##.##..##.......#.###.#########.#.##.#.#...##.##.#...##.#####..########.#.......#.##.#..#######.....#.##..##.......###..#.##..#...##...#.#....####.##.##.#.#.#######.......#...##.####.##.###.#.......###.###.#.##..##..##.....####.##..####..........###.##.##.#######...#.#..#..###.#..#####..##.#..##..##.##..#.##.##.####.#.#.....#.##....###.####.#....#
#..#.....###.####.#..###.###.#.######..########.###.#.#..#.#..####.....####.##.##...##.#####.##.#.##.....###...####.##.####.##.#.#.###.##...#####.##...##......#...........#.....###.##.###.#.########....#.##...##.#.##....##.......####.#####.#.######.#.##..##.#....##.#.#####.##...#.....##....##.........#.##...#.#....#..#..#.###.#....#.######.#.#######.##.#.#..####.#.#.##.#.........#.#..#.###.#######.#.......#.######.#.#.#..###.#.....###..#.#..#####.#..#..#########.#.#.#.#..#.........#.#...###.....###.#..######...#.##.#.#######.#.##.#.##..#..#####.#.##.#########.#.#.##..##.########.....##.........##...#####.#.#######...####.#..#.#####..####.####.#.#.....###..##.####.####...##.##..##########..##.#..#..##.##.#.###.##.#.##.####.##.#..###...####..#..##.#.....#....#.#.##.####..####..##..###.#.##.#
#.###.#.##........##.#...#.#.#...##.##.##...#...##..#.##.#.#.##.#..###.###.....#..#....###.#.##......###.##..###........##...#.#.#.##...###..#.#######..######...#.#####.#...#.#..#..##.#.#.#.#.#....####...####.#.......#.#########.......###..####..####..##......#.##....##..############.#####.#########.##..###.#.####.##.##.......####.###........#.##.......#.##......###..#.####.##.#.####...#.#.....##....#.#######..........##.#.#.#####.#.##.#...###.##.##.##..#.#....#...#.#.##.###.#.#.#...###.#.###.###.#.#.##.#.####.#.#.......#.......#.#.###.##.#.#.........##.........#..##....##.......#.#.#..#.#.#.#..##.##.......###.....###..#.##.#.#.#.####...........#####...#.##..#.##..##..#.##..##.#.###..##..###.##.#.##.........#.#..#.##.##....#.##...##.######.##.##...#####.####.#.#.......##.#..##..##.######.#
###...#############..###.#.#.##.##...######.###..##.#.##.#.#..#.#.######.#####.#######..........##.####..##############.####.#######..#.....##...#.######......#.####....##.#####.#.###...#.#.#.####....##.##.#..##.########..#..#######.#..#..###...##.########.#.########.###.##.#####.##......#.#.###...#..##........##........#.#.#..#.############...########......##.#..###...#.##############.....########.####.......####.#.#........#.#...#.#..#.#..#........#..##...##...#............#.#####.#.....##...##...#.##.#.#.#..#.#######.#######.......#.##.#.####.#.##..#######.#.#.######..#####.#.###############.######.#.##.#.#####..###......#.#.#..##..#.#######...#.###.#..##.#..##.#####....##........####.#.#.#.....##.####.###.##....#.##.##.#.##.###....##.......#.###.###..##..#.#.###.###..##..##..#..##....#
########.#####.#######.....#.##..#.#####........###.#.#......##.####..#...#......##....########.#..#....##.###.##.###.#.#.##.##..######.#.###..#......#####.##.###....##.####.#.....#.###.....#.#.#####.......##.#####..#..##.##...#...####.##.#.###....#.##..##.###.#.##.#........#........####.#.#.#.###.##..########....#.####.######....##.#.##.#.###.#.##.#...#.##.#..#.##...#.............#.####.#..###..#########.##########.#######.##.###.#.##.####.#.######.##.#######.####.##.##.##.#####......##.#####..###.#......#.##.#.#.#.##..#.#..#..##.##...#..#..#########.........#...#.##.##...###.#.##...##..............######.#.#...#.##.######.#...##.##.#####...####.#.#.....##..##.##.#.#####.##..#.####.##.....#.##.#######....#.#.#..##....###....##.#.###.#########.......#.#.##..##.#.#.#####.####.###...######.#
#.#.................#..#.#.#.###...#.#...######.....#.######..#..#.##.###.######.#########.###..#.#####.##.#.#.#..........#...#.##.#################.##.########...#####..###.###.#...#.#####.......###.#####.##..##.##...##.....#...#..##.......#.####....##....##....##.#####.##.#####.##.##..............#.##......###.############.##.#..#.#.#....###.#.#....#.#..#.##.#..###########.##.##.....####.##.##..####.########.......####.##.#............#.#.####..#.....#.#......##..####..#####..#.######..######...#.#####.##.#..#.#....##.#.##.#.######.#.#.##.##...##.####.#.#.#.###.#.#...#.###.######.#....#.######.#.#..#.#.#.#.###.#.#..##.##....####..###.#.###....#.#.#####.##.##..##.#.#.###.########.#.##.###...##.#..#.#####.......#############.#..#.#.#..#.#..#...#######.#.###..#.#.#..##....#.#.#.#.####.##..#
#.###########.#.#.#...####....#..###.##.##......#.#...#.##.#.##.##.#..............##..#......##.###......#.#.#.####.##.##...#...##.#..##.#..#.##.....##.#.#...########.####...#.#####.....#######.#.#...#.....##.###....#..####.####.##....#.#.#....#...##.###.#######.#...##.###........########.#.#.#.###....######.#.###.....###.#...####.......##.........#.##.#.##.##.##.#...........#########...#...#.#..##.#...........#######....##.#####.###.##.#....#.##...#.###.############....##.#.##.###.#.###..##.####...#.#.#.#....##.####.#.....#.#.#..#...#....#.###.##...###########.....###...#.#.####.###############.####.........###.#.##....#####.##.#.####.....##.#.....##.#..##....##..#.#.#....#.#.#...#..#######.##...##.#.####.####..#.####.........##.#...##.##.###...#.##.....#..##.....#####.##.......#.#..##.##
#...#.###.....######.##.#####.##.###..#.#..#.#.######.#......#...#.#####.########..##.#####.#####...#.##............#######.#.#..#.##.#....##..###.#......###..####....###..#....#.###.##.#.##..###.#####.###....#.#######.#.###########.#.########.##.##...#####.##...###.##.##..#.######.#.#....#.#.#.#####.##..##.....######.#.#.#.####.###.#.#.###.##.##.####..#..###...#####.###.###.#.........#...#...##......########.####.#...##.....##.####..#..####...######.###.###..###.#########...#..##....#.#.###.#.###.##.....##.###..#.##.###.#...####.###.####.#.#.#..##.##..#.#.#.#..##.######.....#.#..##.##.........#############.##.#....###.##......#...##.##.##.####.#.#..#.##..####.###.....####.#.#.###.##.##...#..##.###..#....#####..##.#..########.###.##.##..#..##..###.##.#####.###.##.##.###..#######...#.##...#
#.#...#.###.#.##.....#....###.#......###########......###.##...###..#....###.##.##.#...#....##..#######..#.###.######.#.########.#.##.####.##.##.#.######..###......##.....#####.......#..#.##.##....######.##.#...###.......#..##.......####.#.........###...#......#...........#####.........#.########.#.#.#..#######...#...........##......#.#.#...##.##.#....###.#########.####...##.######.#.###.##.#....######..########.#.#######.#.##..##.#####.#....#..#.......#.#.##.......##.##.###...######.#...##.........#####.##...##.#.#..#######..#.#..#####.......#.##...##.#.#.#...##..##.#.#####.#.#.##...######.##.##..##.####...#....##.#.#.###.###.#.#.#..#####.#.##.####...##.##..#..######.#.##...#.##..#..####.##..#...##.##.#####.##......##...#.....#......##.##....##.#.......##.#...#####.#.##.#..###..#....##.##
#####.#.#.#.###..#.#.#.##.......##.#...#.##.#....####.########.#.##.##.###.........###.####..#.##.##.###.#.##..#...#....#.##............#...#.#..#####....##.###############.....##.##.##.#.##..####.#...#..####.###.#######...##..#######......##.#.#.######.###.########.##.######...###########.#.##...#.#.##......####...###.#.#.#....##.#.###.#.#.##.##.###.######.#.#.#.#.##.###.#####.....#.#.###..##.####.###.##...##.............#..##..#..##.#.#.#.###...##.#.##.#..#######.#.....#.###.#.###..###.##########..##...##.####.#.##.#.##..##...##.#.##..#####....###.#....#.#######..#.#..##...#.#..#.#..###.#.#...##.#.......#...#####.#.#.#.###.....####.#.#...#.#..###..#.#..###...##..##.......###.###.#.##.#.....##.####.##..##.#.#..##.#.####.#####.#.#######..####.#....########...#.#.##..#.#..#.##.######.##..##
##.#....#.####..##########.#.##.#..###.#.##.##.###......##.##.......#####..#######.##..#.###.#.##..#..############.####...#############.###...#.####.####.......#.##.###.#############.#.....##...#..###.##.#.#...##.#..##.###..#.###......#.#.##########.#.....###.#....#######..#..#####.###........###......######...####.###.########.#..###...###..#.#..##...##...............#####.....#.#.###.####.####........####.###.##.#.####.###..##.#.###.#.##############.##.##.#.###...#####.......#.#.##...#.#.##.######..##.###..#.#.#..#....##..###.......#####....####...####....###.###.#.##.##.#...##.####.....#####.#....###########.#.....#.#..##.#.####.#.#...#.#.##.#...##...##.###.##.#####.#.#......##...##.#####.##..##..##.##..#.##.######.....#.##.#.......##...##.#.##...###....#####..##.#.##.#.##..#####.###..#
#..####....##..##.....#.#..#.#..#.##...........#...##.#.....###.#####.#.####........##.#..##...###.#.##.#.#.....#.......#...#.#.#.##.#...####....#.#...########.#.##.#.....##..........#####.####.#.##...#......#.##...##......#####..#.########.###..#.#.#####.##..####.##.##.##.#####........#.####...######.##.#.###..#####.####.#.....##...#.####..##.##..#.#..####.#.####.###....#..#.#.#######....###.#########.#.#...#..########....##.......#.....#.#.#.#.#...........#.#.###.#.#.###.###...#.#..#...#.#.........##..#...##...##...##....##.#####.#..##.#.##.##.###.##.##.###.#..#....#...#####.##..#.#####.##..#...#######.#...##.##.##...##.####..##..#.#####...###########....###..#.##############..###..#.#........####.##..##.#.#.....#####.#.#......##.#.#####.#..#..#.###.####.#.##..###....#.#..##.#.#.#.#.##.#
##.######.###########.#.#######.#.####.####.##.###.#######.##...#..##.#....########....##.#..###......#.#.##.##...#.#######..........##.##.#####.#.###.#.#.##.#...##.####.##..###########.....#.#.#.####.######.######....####..##.########.#.##.#.##............##.#...............##..###.##.#.#....#####..#......#.#.##.##.........#.#.###.####....##..###.######.#..#.##...##..##...#######.##.####.##....#.........#.#...##...##...#.#####.###.#####.....#.#.######.##.#...#.......#.#.###.###...######.#.#.#######..##.###.####..##.######.##....#####..#.####.##.....##.##..##.##.##.#...#.##.#.....##.#.##...##.###.#.........#.......##.#.....##..####.#.##..###.#.##.....#####.#...##..##..##........##...##.##.####.###...##.##....##.####.#.###.######.######.##..##.#.####.#.##.#.#....##.###.##.##..#.#.#.#.#.#..#
#.......#.#.#.#.##.#.....###....#..######...#..#####...#.#.####.#.##..##.###.#.#..####.##.##...#.####.#.#..#####.####.......##.##.##....#....##.....#.........###.##..##...##.##....#.....#.#........##..####.#.###..###.###.#.###.#.#.#.......#...####.#.######......############.##..##...#########..##.##...##.#...........#.###.#.#.#.#....##..##..##.#...##.....#.#########..####.##.#.#.#.#..........##.#########.##########.###.#####.######.......###.#.#.........#.###.#######.#.#.##...####.###......###.....#.###..#..#.##.######.#.#..####.#.#.#.##.##.#.######.....##....#...#####.####.#####.......###..#.#######.#####.##.##.########.#####..#.#.#.#..##...#..#####..#.#..###....##..#######.##..###.#..####.#....###.#...###.###.##.#.#.##..##.###...#.#..###....#..##..#.#..#...####..##..##..##...#...#.#.##.#
###.###.#.#.#.#.#....##.##.#.#.###.#....########.##..#.............##..#.##..#.##.#..........#####.##.#...###.####.###########.########.###.#######...##.##.#........####.#########.#.##.#####.##.##.###..........#.##.####..#.##..#.#...#####.###.#.##.####.##..######.......##....#########.#.#.####.....######.##.#.#.##.#.#.#######.#.#.##..####..##..##.#######...#.##.###..###.###........##.###.##.##..##.###.....##.#........###.##.......####.##.#.......#####.#.###.....###.....#..###.#.##.#.######...#####.....##.##.#.#...#.#.......##..............#.#.#.##.#####..####.###...###..##...##.##.####...##.#.#.##.######...#..########.##..#.###.#.#...##..###.##..##.##.....##.####..##.#.#.######.##.#.#.##.#....####.#.###......#...#.#.#..##.##.....###.##...####...####...##...###..##..##.###..###.###........#
#####.........#.#######.#..#####.######.#.##.##..#################..##.#.###...##.########.#...##.....##.##.#.#.#....##.###..###.##.#.......#.#..####..#############.#.#...##.......######.#...##.#..#.##.#.###.###.#...#.##...###...###.##........#.#####.#.#..########.##.#..####.#.#.####...........#.#.#.##.##########..#####.......#.#.#####.##.##########.####.###..#.....##....#########.####.########.##...#####......######.##...#######......#..######.##.....####..#.#.#.#####.##.....#....#.##.....###.#.#####.##....#.##.##.##.###.#####.#####.##.#.....#.##.##.##.##.##.#.##.##.##.####.##.####..###......#.##.#.#....#.####.##.##.....##.#...#.##.####.##..###..#.#..###.##.#.##.##....#.#.............##.####..##..#.########.#.#...#.#.##..######..##.####......#.#..###.##.###.#.##..##...#..##.#..######.####
#..##########.#.#.#.##..##..#....####...#.#..#..##..#.#####.####...###.#..####...........####.#####.#.......#.#.####......##.##...#.###.###.#.#.##.######.#####..#.#.#.#.######.#.#.##..##.#########.#.######.#.#.#.###...##.#..###.##....######.#....##.#.#...###.......#..##.............###.######.##.#....#.###.#.#.#..##..######.#.#####.##.......##..........######.#.#.#..####.........#.#.#..##..#.#...###.#..###.##.##.......###.....#####.#.###.#......#..#.#.###..####.#.#.#.#.######.#.##......#.#..##.#..##....##.#...##.##..#####.##.####.....######.#.#.....#.#..##.........#................##...##.#.#....#.#.##########........#.#....###.......##...##...##.....##.#.##.#.#...####...############.##..#.##.####.#.#.#..#.#.####.##.#.###...##.##.##.#..#####.####.####.....##.#.#..#####.##.##.#.##..#.#.####
##.#.##.#.#..........##.###.#.####.#..#...##.##.###.#..........###..#....##....######.##..#.#...######.#.##...#.#.#####.#.....###.......##......#...##.#..#.#.##.......#.#.#.######..##..#.#.###.#.#.#.#.#.#....#.#.#.###.####.##.#..#######.....####.##.....#.#...#.#.####..##.##.#.#.###.#...#.......####.#.....#.#.....####.#.#.##.###........###.#####.#.#.###.##.....######.##...#######.....##.###...###.....#.##.#..#########.##.#####.#.###.#...####.#.####.#.#.#...##.....................###.#.######....#.#####.#######.#..##.###....##..#########.#.####...#.#...##.#####.####.######.#.######.##..#..########.#.#...#...##.####.#.#.###.####.##.##.######..#.###..#.###.......#.##.###.##.##.....##.....###.......#.#.....##......##...#.#..##.###..#...#.##.##..#.#.##.#..##.##..#.....###.#...#.##.#..##.#......#
#.......#...########....#.#.#..#.#.#.####..#..........####.###...#.##.####..#.######...##.....###.##.###.#..#...#.#..######.#.....####.##..####.#.####.##...#..#######.#.#.#.#..####..##.#.#.#...............##.....#.#.#.#.#..##.#.##...##..#.###.......##.#####.######....######.#.###.....######.####....###.#...#####.##..........#######.##.#......####.####...####.###.##..####.###.....#.#.##.#.###.####.##.#.##.######.#.....##.#.#.#.#.#.########...#.#....#####.#.##.#.######.##.#.#.###.#...#.###..##.#....##.#.#.###.....##......#.###.##..#.###.....##..#.#####....#.#####....##.#######.......#####.###....#.#.#.#.###.....#.#######....##...####.##.####.#.#.#.####...#.###.#.#....#.##..#.###..#.###..########...#.##########.##..###.#.##..#.##.#.###.#...##...#.##...######.##.###...#.###.#.##.##....####.###
#######.##.###.....####.#.#.##.#.#.###.###.###############.#...#....#....#######.....#.######..##.#...####.##.#.#.#.##.#..###.#####....###.###......#..####.##.#.........#.#...##....##....#.#####.#.#.##.##.####.#.....#.#.##.......##.##..#########.##..###.....#.#....#.##......############.#.#########.##..###..#.####..##.#.#.#...###.#########.###.#..#....#........#..####....#...#.#####............####.....#.###..#.#####........#......#.##....######.#..#.#..#########.....##########.#.#.###.##.#######.##.#.#.#.#####..#####.##.##...##.#.#...#.#########.....##.#.#.######.#..#.##.#######.##.#.#...####.#.#.###.#.#####.#..#.#..####..#.#..#....#.#.#....#.###.#########....###.##.##.####.#.#####..##.#....###.#.#..##.#.##.###.#.#.#.###.#.##....##.##.####.##.#..#.##.....##...#####.###.#.#...###.###.#...#
#.....#..#.#.#####.####.............#...#....###.........#####.#.##.#.####..##.##.######.###..##....###.#######.#.#....##...###...##.#..##.#...####.#.##..#....###.#####.....#######..####.#.#.#.########.##..#########.#.#.###.#.#.##...#####....###.##.######.#...###.##########.#..............#....#.###########......#####.#.#.##.##...###.#.#.....#.##########.##.##.#.######.#########...########.###......###...#.##.....#.######.#...####....####.#......####.##.########..#####..........#####...........#...........##.##.####.###...#.#.##...###.#..##.###...##.##..#...#.#.#..##.#..#.#.#............###........##..#.#.....##...#.###...#####.####.#...###.##.##...#.##...####.##...#.##..##......#.##.##.###.##.......##....##.#.#...#.#.#.#.#..###.##......#.#.##...#######.#..#.###.....#.#.#.##.##...##....###
#####.##.###.#.....#....#####.#.###.###...##...#########..#.#######.#...#..##...#.##..#....##..####.##...##.#...#.####.##.######.#################.....##.####.#...#.....#.#.##.##.#.###.......#.##.#.#...#####.#....#....#.#.#.###..##.####.####.....##.##..##.###.##..#.#.#..###.###.##.##.##.#.####.#.#.##......##.##.##.##..#.#########.........#.#.#.###.##.....##.#....##...########.###.##.....##.##..#.####...#....#####...#########.######.#...#####.##.##....####.##.#...#############.#.##.##.#.#######...#.#.###.###.....##....####.###..###..##.##......##########.###.#.#...##..##.#.#.############...######.#....##.#####.####.#.#.###..##....###.#.###.#.#..####.#.####.#.....###.#..#.########.........##..####.##.####.#........###.........##....#####.##...##.###.##..###.##...#####.#.#.#.##..###..####.#.#
#......#..##.#####.#######.#######..##########.#.#.#.#.##.....#.#...#.#.#.#####....##...##....###.#.###.##..###...#.#..#..#.#.#...#.##....#......###.####..#.#.########.####....##.....#######..........#..##...####.####...#.######.##.##....#######.#...##....#...##.##.....##.#######..#..####....#......#.#.##..####..#.##.##.###....###.#.##.#.#.###......#####.#####.#..#.###...#.........#####....###########.#####...#####.#.........#....####.##.#.##########.#.#...#.###.#....###......###.....###.......#.#####...#.#####..####...##..#..##.#.########.##..###..#.#........###.###.##.#.#.#.#.#.#..####.##.#.#######.##.##..............###..##.###.#.....#.#.#.##.#.....#.#.#####..##.#.##..##....####.#.##..#.##.##..####.###.#.#.##...######.#####.##...##..#..###....#..##..#..##.###.###.#.#.#.#..##...##..#.#.#
#.#.##...##..##.....##.##....#.#...##.#.##.#.#.........######...###...###.##....#.###.#.##.##.##.....#...##.#.###...##...##...###....####...####.###..#.##...#.##.##..###.###.########.##.#..#.#.######.#######.###...#.##.##..##.##.#...####.#..###..#.##########.########.#..#.##..####.#.##.#####.#.###.########..#.##.#..######.####...###.####.#...###.##.......#.#...##...#.###.#########.......#.##...........#.....#.........##.##.#.####.##.#....#.##..#...#......#.......####.#.#####.##...###.#...###.###....####.#.#.#...###.###..##.#.##..#.##.#########.#.##.#.###.##.###....#..##.#...#.......##....#.....##.#....#..#####.######.#.#.##..#.#.#.#.###.....#..#.####.##.#.###.##.#..#.##.######..#########.......#.##..#.###.###.##.###.##.......####.#####...##...####.####.##.#..#.#.#...#.#.#.#.#####.###.#...#
########..##..#####.#...####...###.##......#.####.####........#...###..##..####.####..###..#.....###.##.##......###.####..#.########.#..######.......##.#..#......###.##.......##.###.......#######.....##......#.###.#.......##..#..###.#.##.##...#######.#.###.#.##.##.#####....##.#..######....#..####...##.#.###......##..#.#....#.#.####...##..##.##...#..##.##.#...######....#.....#...##.#.#.###.##.#######.#.####.##.##.###.##..#..#.#.......####....##.###.#.###.####.#.#.#........######.#.#...##.####.##..####........##.###....##.##....##...##..##.###.#...#..#..####..##..##.#.##..###.#######....##...###.#..####.#.##.....#......#...###.....#.#########.##.#.##.#.##...#.#....##.#.....##..##....#.#.#####.##.#..##.#.#.#####.##.#.#..####.####.....##.##.##..###.....##..#....##...###.......#..##.#.#.#.#.###
##.#.####..##.##.#....#..####.##....######....#####....##.######.##.#.##..####..##...##...#####.##......####.##........##....##..#.#.##..###.#######..#.#########.....####.##.##..#...#.###.#.#.#.#############.#.#.....###.#####.##.......#...##.####.#.#.#.#.#.###..##.......####....###.#.####.##.##.##.##......####.#....##.####.#.#.#.#..#.###########.###############.####.#...###.###....############.....#####....########...##.##.#####.#.#......##........########...#########.##.#....#.#.#.#######.###..#########.##.#....##.###...##.######.#..##......###.##.##.#.#..######.....##..##..##...##.###..###.#...##.#.....###.#.####.#####..######.#.##..#...........#.#.####.#.####.##.#.###..##.###.#.........###....##..#.#..##.###..#.#.###....#######.##.##.##.##.###.#####.#.####..###.###.###.#.##..#.#...#...#
#..#.#.##.##..##.##.#.##.......###.##.#..#.##...####.#######...........##.##.#####.#########....##.#.##....#####.#.##.#####.####.#.#.###.#...#.......##..##.#.#######...##.#...##.###.#####.#.....##..##.#.#........###.#......#...#######.###..#.##..............#..#########...#####.##.....##...........######.#######.##.##.###....#.....####.##.###....####.##.#.###.#.#.#####.##.......#.##......##.#..#.#..#.#######.##.#...###..#....#####.###.######.##.##..##.##.###.##.....#..#..##.#############.#.##..##.........#..###.##..#...#....##.##..#.#####.##.....#.....#.##..##....###.##.####.####.##.######...###....####.######..#######.##.#.#.......##.######.####......#.#...........#.#######.#.#####.#####.####.####.##.#.##...###.#.#...###.##.#.#...##.##.#...#.##....##....##.#.##.#...#.#......##.#.##.##.###
#.##.#.##..##.##....######.#.#........##.######....#####.....#####.#.#..#.##.#.#.####.##.....#############.##....####.##.....##.......##.###.#######..#.##..#.......###..#####......####....###.#..##.#....###.#.####.####.###...#...###....###.#..###########.##...##..##...#.#..##.#....###.#..###.###.#..##.....#...##.#...#.#.####.#######.....#.#.####.#.................#..#########.#.#.#######..#...#####.#............###...#########.##..#...###.#########..#......#..#####.##.##.##..#.#.#.##.##....#################.....###.#####.##....###.#.#...###..#.#...#.#....##..#######..##.####.#.#...###.#.##.#.#####.#####.##.##..##..#.........#######.##.#.#.####....####.#.###.###.###.....###.....#########........##.#..#.#..###.....#.#.###.#..#.#.###.##.#....###.###.#######.#..#..#.#.#.####.#####..#..#.#....#
#.......##..#..##.#.########.##.##.##.#...#.#.###.###..###.###.....####...##.#...##....####.####.##.#.#....#######.....#####.#####.##....#.#..#.#..##....##.#######.####...########..##..##.#.###.##..####.#######....##...##..#.###.#.####.#.#.##.#..##..####.##.#..##..###.####..#.##.#.#.....##########.#######.###.######.....##....#....#####......###.####.####.#######...##.#...#.###.###.#...##.##.##...#.#########.##.....#.#............####.#...#.##.#..##...#.##...##........#.....##.#.#....##.##...##.###........###.#.....#.######.##.......#.######.####.#######.###.##.##.##.#...##..#.###..#.....###.#..##.##....##..######.#########..............#.#..###.##.......#############.##.####.##.#.###...#.###.##..#.##...##.#.###.#.#...#.##.#.#.#.#.#....####.#......##.#.#...##.##.#.####.#.....##.##...#.####
#.#.###.###.#.#######.##..#..##..###..###......#...#..##.####..#.####.###.#..##.######.#.##.#.....#.....##..#..#######.##.##.#.#########...#.##.##.#####.##.##.#.#.....##.##..#####.##..##.....#.....##.##...##.#####.########.#.#...#.##.#.#.#.#..##.###....#######..##.#.#.##.##...#########.##.......#..##.##...#.#..##..#####.#####...####.#.###.####.###..################....###.#.#######...#....#######...#.#.##.########.#####.#.#######.#.######....#.#.##..#.#.#..#.#######.#######.##.#.####.#######........######.##..#.###.#...##.##########.#..##..###....#.###.......##.##....###..##.#...##.#####.##....##...##.#.##.####.#..##.#.##.#.#.##########.#.#.##...#..##.##.#.##..#...###..#..##..##.#.#.#######......##.##.####.####......###..#.#.#.#.#.####..#...###.#####...#.####....#..##....###.#...###.#....#
#####.#.#.#.#.#.#.....###.###########..##.#.##.###.##.##..#.######.....##.##.....#.##....########.##.##..##...##..#.#..........#.##.##.###...##.#...#..............##.##...##.#...#..##.#..#.#...###....##.###....#.#..##.#.#..#.###........#.#.##.....#####.##.##.##............###..##.##.....#######.##..#.####...#.####.......#.#.###..#.#.#.#.#.###...#..###...............##.....#...###.###.###.##.#.#####.........##........#.#.#.#....####...#.#####.#.#..##.########.#....#####.#....##.........##..###########.##......######.#.###...##....###.#.####..###.#.#..#..#.#.#..#..####.###.##..##.##..#.##...####..##.#####.##.##.#.##.........##########.#.#.#....##.###.#..#.....##.###.....##.##..##..#.....##.#######.##.#....#..##.######.##..##.#.#.#.#.##.##...###.....#.#.###....#.####.######..######.#.#.#.####
####....#.#...#.###.#......###.##...##....#.#......#...##.#.###.######.......#####..####.#.#.......####.#####..##.#.##.#.#####.#.##.#..#.###.##.###.###.#.#.#.#.#####.####....###...######.####.#######..#.#.####.....###...##.#..#########.#....#####.#.##...#.##..##.###.#.#.#...##....#..#.#.#....#...##....#.###....#.#####.#...#.#...##.....#.#.#.###.#.##.#####.###.#.##########.###.#.#.#.###...##.#.#.#...#.###.#.##.##.#.###.########.#.####.........#.##.#####.##.#######.#.#...####..####.####..##.#.#.##.........###.##......#.#.###.#####.#......#.##.#.######.#.#######.#.##.#..#....##.#..###.#.##.#....##......###.##..#....###.#####.##.#.........#.###.#####.########.#.##.....##.##...##..##.###.#.##.#.####..#....####.##...#.#...##.###.#.#.#....#.#..###.#####......##.####...##.##.#...##..###.#.#.#....#
#.#..##...###.#.#.########.#.#..###.##############.##.##....#.#.#.##...#.#.#..#.#..##....#.#######..##..##.###.##...######.......##.##.......#.......######.######......##.##.###.####.#.####.#.#...#...##.#..#####.#.....#########.###..#..##.####.#.....###.#.##.##..##..#######.###.#.###########.###..####....####.##.##.######.#.##.#######.#.#.#..##.#.##.##..#######.####.#.#.....#........#..#.#........###.#####..######.#.#.##..###..#..####.######......#.#....#.#.#.#.....###.#.###.#######...###.#....#####################......#...##...#####.##..#.#.##.#.#.####...........##...#.###.#.##......######..######......##.####...####.......#######.#....##..#.##..#.#..####.########...##.##..##..#.#.###..#....##.#.##..##..####.#.##.###.##..#...#.#.##.#.##...#.##..######..#.##.###..##.###....##.#.#.#...####
#...##..#.......#.##.#.......##.#.#.#.#.##.#.##........####........#####.###.##.#.#####.##.#.#..###..####.......###.#.#.########..#..#######...#.###...####.##.#.#####.#####....#........###..#####...#....#.##.#####.#.#..##.#.##....##.#.###.###..##.####.#.#.#...######.##.#.#..#.###.####..##....#.##.#.###.#.#.#..##.##..##.#.....#..##.#.....#.#.##..#.##..##.##..##..#........#.#.#.#.####.####.#.###.########.####.##.###...#.##.##.##.#.##.#####...##.#.#.....##.....#.#####.#.......#....##.###.......##.#.##....###....#.#####.###.#.#####.###.##.###...#........##.###########.###.##.#.#....#####.###...##......######.##...##.###..#.###.#......#######.##.##.##.##.##.#.#...##....##.##...##..##......###.####....####.####.#.##.#....##...##.#.#####.##.#..##.##.#..##.##.##...##.#.##.#..#.##.###....#.##.##.##
##.##..#####.##........#.#.#..................#######.###.##.##.##.#.###.#......#..#.#...#...#.##.##.#.##.##.##.....#.#.#.##.####.##.#.....#.###.#...#..#.#.#....#.##..########.#.####.#.#...##.....#.####.#..#.#..######.###.#.#####..#...##....##.#...##..#.#.###...#.#..#....##..........##.#####.........####.#.##.##..##.##.#####.#.###.#####.#...###....##.##.###..########.##.###...#.#...........#####.##...........#.#.#.###.##.#.......##.#...##.##################.......#.#######.####........##.#####.#.#..##...####.........##....##.#......#...####.###.####......#.#........#..#......#####.#....###..#####.##.#.#...##.##....##.############..##.#............##..#.#.###.#..#.##...##.##..########..##.#.#..##..##...##.........######.###.#.####.......###.#..##.##....##.###..#..#.##.#.#....####.#........#
#..###.#.#######.##.####.########.#.########.##..###..##..##.####......########.#.##.###.###...##....#.############.#.#.#.#..#.....#...#.#....#########.#.######.#..##..##.........########.###########....#.##...##.#.#..##..#.#.####.###.#####....##.####.......###.....#####....#.#####.##...#....#.#.###.#.#....#...#.##..##.#.......#.#..##...###.#.###.##...#.#.#.##.#.############.##.###.##.##.###.##...#######.###.....####..##.#######.##.###.....#.#.#...####.##########.#.#.###.....############.#.......##..###...#..##########.##..#.######.###...#....#########.#.....###.##.##.#.####...##....##..#..##.....##.#.##.###.#####..#..#..###....#.###.#.##.#.##.##.###.#.#.##....####..###...##.#.#.##...##....######.##.#########.##.##.....##..#.#.#..##.####.#.#.##...#.####....##.#.##.#....##.###....#.######.#
####.###...##.########...##.#.###.#.####.##.....##.##.##.#####.####.##..##.###..#..#.##..#.###..####.#.#.#.##...........#.##.#####...###.#.#.##....##.#....##.#..##..##..#########.#.##.#...#.#.##..######.#..###........##..##.........#.....#####....#.###.##.###.#######.#...##.#.###......#...#.########.#...##...#....##.#..##.#.##...##..###.......#.#..##.##.................##.#...###############.#..###..##.#########.##.##.#..........#..##..###.#...##.##..#.#..............#.###.###..#.###.....##.####..##.###.#...####....#.###..##.##.......###.##.####.....#####.#.##...#...#.#####..######.####...#######.##.#.##...#..##.##.##.#.##.##.#...##..######.####...#....#..###.##.#..##...###..#.#..#.#.#####.#.#....##.#.#.#..#####..#####..##.#.#.##..#.##.#.#.#..#.###.#..####..#.#..#.####.##.##..##........###
#........#......#.#..#.#.#......#####.......#.###......#.##.##....#####....#.##.#.##..##...####.#....#.#.#.############.#.##...#####...###########.##.#.####....###.####.......#......#.###.#.#..#.##.#.##.#.######.####..##..#########.#.##.##...####.#..#####.##..#...##..#.####.###...#.#.###.####.##.......#..###.#.##......##..####.####.##...#.#.#.....###..#########.#.#.#.#....#####.................##.##.#..##..##.#...#.#..####.#####.##..####.....#.....##.#.##############.#.#.#.#.##.....###########...#####.########.####....###.....######.##.......#.#####..##...#.####.###.#####.##.#..#####.#..#.#.......##.#.####...###..#.##.#.##.######..##..##.##.#.####.####...##....#.##..###.#.##...##.###.#.#.....####....#.#.##..##...##..###.#....#.##.#####.#.#.##....##...##..#.##...##.##.#.##..####..##########
#.#.##.#.######.#.##.##########.##..####.#.##.##..####.#.##.#####.########......#.#..#####...##.####.#.#.#..###.......#.#..###...########.#...........#.##.####.#.#.##.#######.##.#.#...##....##.#..#........#..######...##..###.##.......#...###.###..#.##.#....##.###.#..#####.###########..#####......####.##.##...#..##.#.#..#####.#.##.#..#############..#..##..#..##############.#.###########.#.#.#.#..#.##.##..##.#....#...##.##.####.....#.#######.#######.#................##.#.....#..###.###..#.#.##.###.#.##..##.###....#.###.##.#.###.#..#.#.#######.##.#.###.#####.###.#####...##........##.###.####.#.#.#.#.........#.#.#.##......#.#..#.#.##.###.##.....#....#.#.####.#####.#.#..##.#....##.##...##.#.###.#......##...#..##.#..#..##.....##.###.#..#.##.........#.###.#####....#.####.##.#..##...###....##.##.#
########.#........##.##...#.....##.###.#.###.....##....#.##.#.#.#.#.##...##.#.#.....####.##.##.......#.#.##.#.#######.....##.##.##.###..#.#######.#.#....#.#......#.##..........#####.#..####.##.##.########...##....###.##.##....######.###.##.....##...##.####.##.#...##...#.#..##.#...######.#.######.#....#...##.###.##.#.##...##.....#.#.###.#.#.#.##...##.####.##.#.##....##.##.......###.#############.......##......##.##.##..#..##.#####...##...####.........#.#.#####.####......###.#.####...##.#.......##....##......####.#..##.#..###...##.#....##.##.....#.#....##.#####.#.##..#######.#.#........###..########.##.##.####.#..######.#.##.#.......#...###.######...#..##...##.#...##.##...####...###.##.#..#########..###...##....##########.....##.#.##..#####.###.####...##.##.###.#....##.##.#..###.###.###.#..#
#..#.....########.##..###.###.#..#.##....##..#.#######.................#....####.##..##......#######........#.##..#######.#...#.##...##......#.#########...###.##.#..#########.##..#####.#.##.#.....##.##.####.#####.##...#..####.##.#.####..###.#.##..###........#.#.######.#.##.#..##.##..##......#.#######.#.####.#...########.#######...#.##.........##.##...#.#.##....###.##.....###.#.#.........#..##########.##########.#..###.##.#....#.##.#####..##..#.#.#.#.#.####.##########.#.###.#.##.###.##.####.##....##.#######.#..#.##....##.#####....##.#.##.###.####.####.##..##......##...#.#...##########.#.##.##.##....#####..##....##...##.#..#.#######.###..#####..####...#####.#....#.......###..##.##........##.##....######.###..####.#.##.#.####.##.....##.#.#.#####..#.#.###...#.###...#.###....##..##..#..#.#.#.##
##.#########......##.##.#..#####......###########.#....#.##.##.#.##.#.#####..##..###..#####.##....#########.#.###...###...###.#.#..#########...#.#.#.#.###..####..#.##.###.....###.#...#........###.......#.....#.#...###...##..#.#....##.#.##.###.#..##.#######.##.....##.....##...##...##.#######.....##.####.#....#####.#.##....#....#.###.#########.###.####.#.#.####.##.#..#.#########.###.#.###...##.#.#.......##...##.####.#.#.##.####...#...##.##..###############.#.#.#........###....................##.#.##..........##......##..........##..###.#..#...##.#.#....###..######.#..###.##.####...#.#..#.#...#.#######.#.##.#####..#.#....##.#.##..........##.##..##....#..##.#.############..##.##..##.##.#.#..#..###.##......#.##..##..#.#.......#..####.###.#.#.##....##....##.###.#.#.#####.###.##..####.#.##......#
#..#.##.##...#.##.....#.##..##...##.#.#.............##.#.##.#..#.#..#.#.....######.##..#.#...####..##....##.#.#.###.#...#.#.#.#.##.##.###....#.....#....#..##.###....#.#.#####.....###...##.##.########.#...###.#.###.#.###.###...#.##.#....#...#....##..##......####.########.####.###.##...#...######....#.##.#.#.##........####.####...###.#.#..##....#...##....#..##..##.#.#####.....#..#.#########.#......##.##....#...........#.#..##.###.###..#.#..##...#.#..###..#...#.######.#.#...#.#.#.#.#.#######.#########.#######....#.##.#..####.######.###..##.###..#.#.####.#.##.#.##...##.##..##.#..###.#.##.#.###.#.#.####.....#.#.#.#.#######.##.#..##.###.#.#..#.###..#.####.##..#..##......####.##.##.######.#.##...##....######.#.##.####.#.#####.#...###.....#.#....####..##.#..#.##..#.#..#.##.#.#.##.##.#....##.######
##.#.#...##.####..#.#...##.##..########.#.#.#.#.#.###..#.#####.####.#.##.#.##.......##.#.##.###.##....##..............#.#.....#.#..##.#.#######.##...##.#.##...#..##........###.##.....#.#..#..#.....#..###.#...............#.###.####.####.###.###.###.######.###.#...##.##.#..##..#...####.###.#.#.#####.#..#.########.####.##....#####...#.#...##..##.#.#.###.#...####.#.....##.#####.##.#.##.#..##....#.##..############.#.####.#.##.#...#....##.#.##.####.....##.##.###....#.#.#########.#############.....##....####################.#....#..........##..####......##....##.#....#.....##..####..##....#.#.#.#.#.#.#....###.........#.#........#.#########.##...#.##.####....##...########.......#..#...##.#####..#..###.##.##...#..#..#.#.#..########...###.#.....#.##.##.##..#.##..#.##...##.##.#....#.##.##.#.##...##.#
#......##########.#####..#.#..##........###########...####.#.#..#.######.#..#.#####.............#####################.###.###.#.##..#...##...##########....###.########.###.....#..#################...###..#.#.######.#.##.....................#.#.#.#.##..##.#.#.###.#..#..##..##.###.#.#..................#####.#.#.###....#####.#.#####.#.##.#######.###...#####.##.....#####...#.##.........##.##########.##.....##.##..####........###.####.##.#.#.....#####.##.#..##..##........#..###..#.#.##.......#######.#..##......####.###########.##.#######.#..##..######.####.##..#.########.###..#.#.##..##.#...........####.##..######.##.##.#####.#.##.#...#..###.##.#...#.####..###.#.##.....#####.#.##.####..##...##.##.#.##.#..#...##.##.#.#.##...#....###.###.########.##..##.####.##.##.###..#..####.#..#..###.##.####.#
##.###..##.#.#.#########.....####.#.#.#.##.......###.##.##.....##........####.#...####.#.#.#.##......#.#.#.##.#.#.###.######....###.#.###..###.#.#......##.....#..##.####...##.#####.##.##........#..###.###################.####.####.####.###............##....#.#.#.##.##....###.....#.#####.##.#####.###.#.##......##..##..##.....#.......##.##..##...#..#####....####.###..###...##########....#.#####....######.......##..##.#####.............#.#.#.###........##....##########.##.....##....####.#.####.....##..######.......##.#.#.#####..#.##....#.####.#.......##..###.####........###.#...###.#....#.#.#.###......######.##...#.####.##....##.###.####....#.###.#.##...##...#..#######.##..#..#..#.##..###.#..##.#.##.#####.###.#.......###.##.#..#..##..####.##...##.##..#.#.##.##...##...##....#.##.##...##......#
#..#.##.#......#.##.#....##.###...#.###.#####.##...###...###.#####.########.#####......#.#.#.#..#.##.......##.........#......##.#.#.#.##..####.....##.#.#..###.#.##..#.##########.#..#...#.#.##.#...####.##...............####....###..#.....###.#.#####.#######.....#.##..##.#.....###..........###########.#..######.#######.####.#...##.##.....##..###.##.##..####.##...#.##.#.#.#...###.#######.#.....####.#......###.#.###....#.....###.##.#.##...#.########.#.#....#.##.#........####.###..##......####...###..##...#....#.#.#....#......#####.#####.#.##.....####.##..##....#.#######.##...#.###.####.############.#####.##.#.###.##.#.#...####.#..##..###..##...#...#..#.#..###...##........##.#.##.##..#.###..##....#.....#....##..####.#####...####...##..##.....###.##.###.#....#.#..###..#######......####..#.##.#.#
#.##....######.#.##.##.#.##.#...#####...#..#######..#..#.....##.#####.#......#....#.#.#########.#.#..#.###.#..##.###.#####.#.#.........##..#.###.#.#..#.#.##......##.#..#..#..#...##.#.############.#..#.#######.#.##.#.###.#..#.##...###.#.##...#.##......##.###.##.#.##.######.#####..###.##.####....###.....##........##....#.####.#.#...##.##....##.#.##.##.##.##.####.#.##.#.#.###.............#####.##.###.#.##.#...###.#.#.##.#.#.#############.....#.#.#############..##.###.#......###########.###.######..#####.##.########.#.######..#.#........#..#######.#...#.######.#.#.#.##...###....#..##.####.####......####.......#....#.#.###..###.##.###.#.####..#.###.#.#####...###..#.######.......#.###.#...########.#####.####....##.#...##...####.###.#..###.#######.##.#.#...####.#.##.#.######.##.#####..##...####.#
#######.#.##.#....#.##.########.##.#..####...##.###...#########...#.#.######.###.####.#.#.#.#.##########...##..#######.....######.#.##..##.#.###.####.###.###.###.##.##.##.##.#.#.......#.#.#.#..##.##.#..###....#.##.#..#....###############..#.#.###.###.#...#####...##..#.#.###.....###..#..##...##.#.###.#..##.#.###.#####.....##.####.##..#..##..#.#.#...#.##.....###.#.#....#.#########.#####....##.##.##########.#.#.....##########.#..#..#..###.####....##.#.##.#.###..###.##########.#..##.#.####..#.##.##.#........#..#.#.###.#.#.###.....######...##.##.#....#...#.##.#........###.##..##.#.##..#.....#.###.####....#####...##...#.#.##........#.#.#...###.#..#..#..##.##.####.####.#.#######.##..##.#.###.#......#.##.....##.###....#..###..##...##.##.#.#..##.#.#.#..#.###........##....#.##........###.##.###.####
#..............##......###.######..####....#........#.#.........#.............#########.......##.##......#..#####...#..###.##.....####.##..#...#.##########.###..........#.##.###.#.#.###.#.#.##..###..##.#.####.#######.##.#.#.#.#.##.#.#.#######...###.....#..##.###.##.##....####.#.##..###..######...#.#.##..######...#.######....##.###..###.###.....###....#####.#.#...#.######.#.#...###.#.####.......#.##.#.....#.#.#######.#.#.##.##.##.##.....#..####.#...........##.##...#.###.##....##.....#.##....#.#####.###.####......#.......##########..###..#.#..######.#........##.###.#....##..###..##.####.##..##.#########.####.####.##.#.####.####.#.#.###...####.##.##.#......#.#.#.#........#......##.....#..####.#......###.....###.######.#.#####..#.#..#.#.##..#.#.##...#.##.#.##.####.###.#######.#..##..#.###..###
####.######.#.#####.##.#.#..#..###.#.####.###.#.#.#.#.###.#.#.######.#.###.##.#.#.#.#########.#..######.###..###..#...##...####.#.#....###...#####.##.......#...#.##.###.......######.........###..##.##....########.##...#####.....#.......###.##.###...######.##......#..####....##############.##...#.....###.##.#...#...#.#.###.###......######.#####.#.#.####.........#....#.##....##.##.....#####.#.##........#.#.######.............#......###.#...##..#.##.#######.##...###.#...#.#####..#####.#....##...#.#...#...#....####.#######.#.#.####.##...##.#.##.##.##..##.#.#.#.#..#.....##.###..##.##...##..#..#####....##...#.####.#...#....######...#...##..#.........#..##.###.#.#.#.########.####.######.###.##..###.##.####..###......#.#.#.....####.....##...##.##....#.#...##.#########..#..#.#.#.####..##...#.##.#.#
#.#########.####.#####.#.##.##..##.#...#...#####################.#########.#....#.#.#.###.#.#...##.#..######.....##.#..#.###.####.####...##.##.##..########.###.#.########.###.#.#....#.#.###..###.#.....##.............####.######...##.##......###.#########.....####...##..##.####.##.##.#.##...###.###.#.#....#.#####.#......#######.#####.#.#............##.######.#.####.##.#####.....###.#....#..#.#..##.##.##.####.#.#.####.#.##.#...####.######.####.#..#.#..#.....###...#.###.#.#.#.#.###.#....#######.#.######.##.#.##........................#....#.##.......#####.############.#....#.##..####..##.##.########..###.#.#.##...#.####.#.##...#.###.#####.###.###.#.#####.........##.####.......###.##..##.###..#...####...####.####.#.#.####.##.###.##.###.##.....#######.##...#.##.##..##.##.#.#.##...###.#.#..#.#.#
#...........#.....##...#.....#.##..###.###.#.#.#........##.#........#.#..######.......#.......#..#.##.##.#...##.##########........#....#........#.##.#.##.....#####.##..####...#.####.#.#.#...##.#.##.#.##..#.##.#.####..##...##.#..##########.#####.#.........#.#.#....###..##...##..........##.#.....#...####.#.....##..##.#.#..##...###..#..#.#########.##.##.###..#####.#......#.##.##.##.######.##.###############......###.#############.......##..##.#.#.#####.####.##.###................#....#.####.###.#.#....##########.#.#.#.##.#.##.#.#.#.####.#...###.####...######..###......##.#...##.##..##.....#..##.#....##........#####.#..#.#.######.##..#.######..#...#.##.##########.#..#..##.#.##...#.#..###...##.##.###...###....###.......##..##.#.####..##..#.#####...#......#.#.....##....##.#.#.####.##..####...#.#
#.#######.###.#.#..#########...#..##.#..####...####.#.#....########.#.##.##.#.###.###.##########.#.....#...###..##...##.#..###.##.####.##.###.#...##.#..#####..#.##....##.#..#.#..##..#######.#.......#.#..##########.##.####.##.#.####.#.#.....##.#.#######.#.########.#.##.#..########.####....##.##.######.#######..####..####.####.####.##......##.#.####....#.##..#......##.###....#.....##.....#####.#...##.##.#######.##....###.##......##.##.#..##..#.#..##.#...........############.#.#.######.#........#.####.##.##......#.#####################..#.#...####.#.###.##.#.##.#.###.#####.#.......#######...##....##.#..######.#.##..##.#.#...###...##.#...##.##.#.#...##..##......#.##.##.######..###.##.#.###.....####..#.#...#.##.#.###.#..##.#.....#.#.####.......###.#####.#######.######..#.#....##...##..#.##.##.#
#.#.......#...####....#.##.###.##.##.##.#..###.#..#####.##....#####.#.#..#........##....#........#####...########..#....#.###..#..##.############.##.##...###.##..####......##...######..##...###.#.#.#.####.......................#........###.......###.##.####.##......##.#.##.#.#..####...##.##.##.#......#####...##..#####...#.##.#.#..####.##....#.##.##.###.###.##.###..#.#####.####.#.######.#.##..###..#......###....####..#...#####.#####....####...##.#..######.##.#..#.#....##.#####........##.#.###.#..##..##..##########..#..#.#..#.#.#.##.########..##..###........##.###...#.....##.#.####...#...#..##.####.#######.#.#.###.##.#...###.###.#..#.#..#..#######.###..######......#...##.###..##.##.#...#####..#.##.#.#######..#...####.#..#####......#.##.#######..#.##..#.#.##..#.#####.....#####.#####...##..#.#
########.#######.####.................#.#.##...#.###.#..##.##.........##.###.###.####.#...######.#.#.###.#.....#######.####.#####.#..###.#........##..###......##.#.###.#.#..###..#.####....#..#######################.####.#.##.#.####.########.##.#.#......##.#..######......##.#.#.####..#########..#.##.#.#.#.###.##.##.#.###........#.##.########...#.....#.#.#.#..###.##.###...########...#.#....###.#.##.#.####.#.####..####.#.####.####.#...##..#.###......###.#.#######...####..#.##....####.#.#..#.##..##.###.###..#.#.##..##.##.#.##...........#####.#.##..###########.#..###.#.##.#######...####...#.##..####...##......#.#.#...#..###..##.#.....#####.#.###.#....#.#.###.....#.##.###.#......##..##...###.....##.#########.###.#####....##.#.##..##.#...#....##..##....##...#.##.##.....#####...##....#.#.####.##.#
#..##....##...........###.#.#####.###...#..###.#.#.....###.####.#####.#...###########.##.###.......#.#######.#..#..###..##....#.####.#.#.########.##.##.######.......#########...##....##.#.##.#.##..##....##.##.#.....#....#.#..############..###..###########.##.#.##.#####.###...#.##...##......##########.....##..............##.###....#.#.#.#....#...#.#.......##.##......#..###..#.#...#...###.##.....#..####.#.#.#.#..##.#....#......#..######.##.####.#.#.#.......##..###....##.#..###.#####.#.#.######.##.......##........##..........##.##.#.#...#......##.##..#.##.##.##...######.#.......###.##.#.#####..#.###.#######.......#...####.##..#####.#.##....##..####.#.#.#.#########..#...######.###.###.########....#.#.##......#.##.#####....#..########.##.####..##..####..###.#...###.######..#..#.####....##...#.#
##.#..######.#######.##...#.##....#...#.#.###....##.##.#...#....##......#.......#.##...####..#####...#..#.#####.#.##...##..##...##.#.#.#.#.#..........#.##.#########.#.#.#.#####....##.#..###.....##.#####....##.####.##.#.########...........#####..#.#.###.............#.#....###....###########..###.#..#..###....####.####.#.##########.........##.#.#.###.#####..#..#####.##.##.##.#.#######.###..#####.##..##........##.##.####.###.##...##.###...#.#.######.#.####.####..####.###.#.##...##..#.######..#...#####.###########..##.##.####.#########.#...#.##.##..##.........#..#.##.##..#.###.#..##..##########.........###.#######.#.#..#...##.##..##...#####..#.##......#.#..##....###.###.####....#..#....#..##.###.##....##.#.#.#.##..#.#####.#.##...###..#....##.##..##..#.##...###..##.##...#####.#..#.#.######.##.#
#..######..###.......##################.......##....#..##.##.##.##.#.#.###.##.#.#..#####..####.#####.##.#..##.#.#.####.#..###.###......#.#.######.#.#...##.#.###...............####..#######..###.#...#.###.#....###...######...#.###########.##.###.#.#...######.####.#.....##.#.#.####..#.##.####.#...##.####.#######...#.######......#...#######..#####.##########.##.#.##..##....#..#.####.##.#.##.#.#......#########.###.#.......#.######....#.###......##.##.####.#..##..##.#..#...#..#.#.###.####.#.##.###.##....#.##.#.##...##..#####.#.#.#..#.######.###..##.###########.##.###...######.###.###.###.##.##...#.####.##.#.#####...#.##.###.....##.###.##...##...#######.#.##..#.##.#...##..#..####.##.###.##.##..###.##.##..#####...###.#.#.###...####.#.##.##.###..###..##......#####.###.#..###..##.#.##.#.####....#.#
##........#####.######.###.........###..#.#########.#.##...###########.#...####.#.##.#.##.#.#...........#.##....#.#.#..#####...#..##.#.....#......####.##....#.###############..####..##.#.#.###....#...#.####.###.#######..###.#....##.#.#.#.##.#.#.....###..#####.######.#.##.#.#....##.#.#..#....###.#..#.#...####.#####...#.#######.######...###########................##..####.#.##.#..#.........#.######....#.#.#..##....#.#.#....#.######.......#.##........#.#.##.###.##.##.###.#.######.#..##....##......####.#......#..#..####.....###.##.....#.#######....###.#.###.#.##..#..###.#.##.#...#.#.##..##.########.#...........########.###.###..#.#....##.###.###...##..#.#..#####.###.###.#.###.#.#..##..##..##.#.#..#####..#..###.#.#...#.#.#.###.#....#.....#.#.##...###.#.######...#.#...##.#.##..#..#......###.##.#
#..###.##..#.########......##.##.#.....##.##...#############..###.#.##.#.#.#...........##.#.######.####...#####.....#.##.....#...##..#####...##.#..#.#..####..........#.####.#.##....###.....#.##.#####....#.#.##..#..##.##...#.####........#.##.#.#.#.#..#..##.##....######.#..#...####..#.##.####..#..##.#...#....#..#.#..#......##.#.#.##.###.#.#.#.#.#####.#.#########.##..####..#.#..##.###.##.##....##..####.#...##..##.##########.#.#.##.#.###.#############.#.#.....#..#......#......#.#....######.#######..#.#.######...###..#######.##.....#.#.........#.##..#........#..##.#.##.....##.###...#.#..##...##..##..#####.#.###.#.##.#.....###.##.#.####.....#..#.###.###.....##.##.......#..#..#....##..##..#.##....##.##..##.#.###....###.#.....##..####.#####.#....###.##..###.##.#.#.....###....###...##.######....#.#
####.#####.#.#.#......#.##.##.########..#.####.....#.##.##.##.#.#.#....#########.###.#....#.##..#####.###.#.#.#####.#.#########.######.....#..###.##.##.#....##.##.##..........#..##.#.#####.#.#..##.###.#.....###.#.##.....#........####.#........#.####.##.#.....##..#..#####...####.##.#.##.##.##.##..#...#.####.##.#.#####.#.#............#..#.#.......#.#.#.#.....##...##..#.##.#.##.##.#.##########.#..##..#.###....######.#.#.#.............#####....#.##.#......#.#.##.######...#.##...####.##.##....##.###.....##...###...##.#.#.###..#######.#########.#####.########.#.###....#####.#....###...##.####.#..##..##..#######..#.#..#####..#.......##.#####.##.#.#....###.##....########.##.##.##.####.####.#.####.##...##....#.#.###.##...#####..##.##.#.##....#.####....##..##.##.####.####.####.#.###.##..#.##..##...#
#.#...#.##.......###########..#........####....#.#................###.###.#.#############.#.###.#.#...#.......#.....#.#.#.###.#####.#..##.###.#...##.#....#######..#..#.##.###.####..#.#.#.###.##.#...#####.##.......##.#.#.#.#.#.#####.###.#.####.####......#.##.####.##.#.#...#.#.#..##.......#....###.#########..........##.###.#.#.######.##.#.#######.#.#########.####.###...##.#.##.#....###.#..###.##.###....###.#.##.#.#.#...###.###.#.#.###.#.##.#...#....#.######........##########.##........####..#...#.###..##.##.######...#...##..##..####.##.###........#.##.#...#.#.#.#.##.......##.####.##..#.##.##.###..##.#.##..##.#.##.######.#######.##.#.##..##.#.###.##.#######..##......##.#..##..##..##...#.#....####..####.#.#.##..####..##.#.###....#.#####.#.##.###.##..###.##..##..#.##..#.#.#...#....##..####..###
#...#......#.###.##....#.####.##.###.#..#####.##.####.###.##.##.#..#####......................#.#.###.#####.#.###.#...........##.#..#.###...####.###...##.###.####.##.#..####...####.#.#.#.##..######.....##########.####.#####.#..###...######.#...#.######....####.#.#....#####...#.#########.####......###.##.###.#####.##..#...###.#...........##.##......###.#..........####.##.#.##.####.#.#.##.....#...#####.#.#.#..........#...#####.#####......#####...#.##.###########.#.....#.#.##..##.###########.###.######.......###..###.###.###.##.##.#.....#...#.#.##........#.......#######.#.##........##.#.#.....#.#.###.#..##..............#.##............##.##.#.##......#.#####.#######....##....##..####.##.####.#.##.##......#..##.#.##.##....#.####.#..##...#.....##....##.#..##.###....##.#.#.###...####..##.#..####
##.####.#.####...###.#...#.##.####...####.#.#.##.#....##..########.#.##..#.#######.#.##.##.##.....##...######.#.#####.##.##.#....##.####..#.#....#.###.#..#......##########...#.............##..##.###.######.#.##.#.#..#.##.#######...#..###...##.##.#.##...####........##.......#...#.####..#.##.##.#.#..........#####...#####.#.#...#####.##.##.##.#######..#....#######.##.##..#.#..#.#....#....#####.##.##..#..#.########.#####.#.......#..######.###....#.#.#..#..#.###.######.#...#..##.....#.#.##..........##.########.#.##......##.#...##.##.#####.###.#####..#.###.##.#.###.##..#########.#####.##.#.###.#.....#.#.#.#######.#.#.####.#.######.##.#.#....##.#.#######.#.......#.#..###.#....##..##..#.#.##.##.#.#.##..##.#.#...###.#.#...###.##...#....#####...###.##.#####.##.#...##.#.##..#.#.#.##.##..##.#....##..#
#..#....#.##...#..######....###.#######.....####.####.#..##....#.#...#########..######..#..#..###....#....##.......##.#####.##.#....##.#.##.##.#.#.###.##.####.###..........#.#.######.#.##..#.##....#.#.##.....#..#.#.##.##.#.#.#.##.###...###.....#.#..###.#..#######.#######.#.###.#.#..##...##..#####.########.##..###.#.#########.#..#######..##.#.#.####.########.##..##..##.....##.####.##.#.#......#.###.##...###......#.....##.#.##.##...#.##.#.######.#.#.###.......#.#.######...####.##.#....##########....#.#.##...#.#####.#.##...#....##...........##.#########..#####.#.##.##..##.....#.....#.....########.....#..#.######.#.###....#.......########.##.#..#####..##.##.#.....##...##.#.###.##.##.#.#...#.#...#..#########..#..#.###.##..####.####...#.###...#.#...#.#..##.##.###.#####.....#.##.##.###...####..##
#####.###.#########.#.#####.###.......#####.##.###.##.#.####.#.....#....##...##.#.#.#..##.###.#...#######.#..#####....#.#.#.##.##.#.......#..#####.....#..##.....######.###.#.###......#..##...###.#...#.#..#.#.##.....##.#...........#.###.#.#####...##.######.#...##..##....#######.#.##..###....############.#...##.......#.##.#.#####.#.##.###...........#.#.#.#.....##..##.######.##.#.#..####.#.####....#.....###.###.##.###.#.#..#.####..#........##.....#########.###........#####..##..#..#.####..########.#......###.#.#.#.###.#..#.##.#....#####.#.#.#.......#....##.......##.##.####.#####.##.####.##.#...######.##.#........###.##.#...#.#.###........#....##...##.#######.###.#########.#......#..#.###.#.##.##.##..#.#####.##.#.#.#.###..##...#.##.##.....#######.#.#.##..##.#.#..#..####.##..#.##.#.#.#....##.##
#.#.###...#.........#...........###.#.......##..##....##########.#.##.#..###..#.#.....#####...#.#####.......##.....####.#....#######.#.##.#.##..###.##.##..####.##.#.##.#...###...#.#.#######.##.#####.#.#.####....#.#..#########.#.###.........#.#.###......##.###..########..#.##......##.#.##.#..#.#.##......###..#######.#.##.#.#.##...........####.#.##...#...##.##..##.#..#.#.#..##...##.#.#..####.####...##.##.#.#...##########.####.###.##.#.###....###..#.#.#.##.#...#.###.##.####.#..###....##..##.....########.####.#...#.##..####.##.#.#.####.#.###########...###########.##.#..##.#####.###.......##.###...........##.#.#.#.#......#.#.##############.####..#.####..##..####.#.#.###..#####.#.#...##..#..........##.##..#.#..#........#.#.#####.#..#..#.#.#...##.#..#.#..##......##...##.#...##...##.#.#.######...#
#.#.....####.######...#.#.#.#.###...##.#.##..##.####.###.##.#.##########...##.#.#####...###########.#####.#.###.##.#......#.##.......#.#..#####.....#...####.#.....#.##.#.#######.#.#..###.##.##.##....#.####...##.####..###..#################.....#######.##...#..##.##.#.##.#.###.###.##....###.##...#######.###.##.#.###....#........##.##.#.#....######.#...#.######....##.#.#.##.#..####.#.##..#........#.#...#.#.#####.##....##.##....#######.#...####.####.#....####.#####........#.####.##.####.#######...##........#.###.#.###....######.#.##.#.####.##.....###..##.....#...##.#.###.###....#..#####.##..#####.#.####.####.#####.######.####.#..##........#...##..##..##..##..........##..##.#######..##.#######.#####..##.#.##.########.#...#.#.#.##.#.######.####.#.##.#.######.#.##.###..###..###.#....#..#.##..###
#.##.#.##....#......########################....#.##.##.....#..#####.#.###.#....###.#####.#....#........###..#####.######.#.#####.##.#.######.##.#.##.#####....#.#...########.##########..........####.#.##.############..#..##..#.##.##.#......#.#....###...###.##.##.##.#.#..#.#.####..#####.##...###..###...........#...####.######.######..#.##.#####..#####.#..####..##.........#.##..##....###.####.#.#######.#.#.#.##...####..####.##..####...##.##...........##..#.###.#.########.#.#.#.....##...#..####.#..########....##.#.#.#.####......####.#.###.....#.#.....#######...#..#.#.#.....####...#####...#.##..######..#...#####.#####.....##.#.##..##.#####.###..##.##.##..##########.#####.#........#.###.#.#.#.#..##.##.##......##.#.#.#...#.............##.#...##....##.#.....####.#....#.##.#.##...#.####.##..##.#.#
#..#.#.##.#.###.##.#######.#.##.##.##......#.##....########.##.#.#...........##.....###.#.####.###.#.##.....##.....#......#.#.###.#..#.#.........#######....#.#####.##.#.#..#.#.#..#.#.######.###.##.#....#.#.##.###.#.##.##..##.#..#.##.############.##.###.#.........##.#.##...#.##.##..##....#.###...##...##.#.#.##...#......###..###...#..#####..##.##..#.#####.#.#..##..###.#.#....#.######.#.#.#....####.#..........###.###.##.##.#####.#.#..###########.##.#.####.#.##.................##.##.###.##.##..####.#..#..##.##....#.....##.######.##.....#.#.###.####.#####.#.#..####.#.#.#.######.#.####....#....##..######...###.##...##.########......#####.....#.#.###.##..##...##.......#.##....####.#...#.#.#.#.#...###....######.##........#############.####.##.###.#####...#.###.#....####....#.####.#....#....##..#.#
##.###########..#####.#.#...........######.#######.##.#.#...#..#...#.#.#.#.#.######.............########.##.######.##.#.#.###.....#.##.###.#.#.#.###.#...#.##.##....##.#.##.#.#.##.#.#.....####......####...............#.#..##..##.#.#..#.#####.#.#...#.##..####.#.##..#.#.####.#.#...##..####.....###.###########.#..#######.##.#.######.######.#####.###...#.#.#.....####.#...#.##.#...##..#..#.#.#.#####.#.#.#.##.###..##.#...##....##........###.#...####..######.#.#.########.#.##.###.#####............###...##.##.########...##.##..##.#.###..###.#....####....###.....#####.#.....#.#.#.#..####.#########....##.#..###.##...##.##..#.#.#..######.##..#####.....##...##..##.#########.#.##############.#.#.......###.####..###....######.#.#........###..#.#..##.#.#.##..###.####..####...#####...#.#....#.##.######.#.#
#...#.#####..####.......######.#.##..#.##...#.#.........###.##.#####.#.###.#..##....#######.###.#.#.......###.......#####...#.#.#.#..#.##..#.#.###.....#.##########....#........#......###.#..##.#.#..##..#.#####.###.#...##..##......##.#.#.....#...#.#.###...########.......#..#.##.####.#..###.####..#.#.#.##.##.#.##...#....#...##.#.....#.#..###.#.#...#.......#.####...###.#.#..#.#..##.##.#.....##....#.###########.#..###..##.###########.#.....#......###.#.#.....#.#.##...#.#..#....#.#..#.#.###.####.###.......#.#.#########..##.#.....######..#.####.#######.###.#.......#####.....#.##.##...#.#.....####.##.##.#....###.......##.#.##.#.##....#.##..######..###..##..#.##...##.......##.##...#.#......#####.##.....#.##.####..#..#############.#.##.....##..#.#....####..#.##.##.##.##.##..###.#.######..##..##...#
###....##.##.#.########.#......#..##....###.#...#.#.###..............#####.##########.......#.......####.###..#.#.#.##....#######.##.#####.#.#.#...#.#.#.#.....#....##.#####.##.#.#.#.##.#...########....##.##..#########....########.#....#####.#####.#...###...##...####.##.##.......##....##...#.#..##...#.#..#########.####.##.##..#####...##.#.....#######.#.#.#.#....###...#########.......###########.#.###.........#.##.#.###.#.##.#.#..####.####.#.#.##.......###......###.######.##.....####.#...#.##..######.#.........###.##..#.#####..###.##.#.#....#.#.###.#.####.##.#.....#.###.#.....###...####.##.......##.###.##########.##.........####.#..##...#.##.##.##....##.##.#.#..##.#.##..####.#.##.###.#......#.###...##..####.##..##.##........#..#####..##...#.####..#.##.##.#..##.#...##.##....#.#.#..##..#####.#
#...####........#.#.......######.######.....#.###.##########.#.#.##.##.....#..........###.#.#######.##.....##.#.#.#####.#.##......#...##...#.#.##.####.#.##.##...#.##.....#..#..########.#.#..#.#.#############..##..##.####.#.##.##....##...##...#.#....#######.#..#..######.#..###.#..####..###.#.##..###.#.##.#.#.#.#.#.#.#.....###.#...###....#####.#.##.####.#.#####.##...#.#..##.#.#######...#.#..##.#.#.#.####.####...##.#..#..#.##.....##....#....#.#..################.#.#####.##..####.##....#.#.#.#..##.#.######.#.#.#.....###.#..###..##......######............#...#####.##...#########..####.##....######.##...#...#.#...#...#####.#.##.#.##.##.##.#.........#####.##..#.######..#..#.##....#.##.##..######.#######.###......#..##...#.######.#.##.#.##....#......##.#.##.##...##..#.###..#####.......###.##.##..#
###.#.#..######.#.###########.#####.###.###....##.#..........#####..######.#.##.#.##.###..####......##.#.#.##.#.#####.###..####.#.#.######.#############..#####.######.##...###.##.#.#...###.##.#..#.####.##..##..##......##.#.##.##########..###.....##..##.....#.###..........###..##..#.##.#.#.#.#..##................#.....###.#.#.###.#.####.##..............####.#...##.##.##..............#.#.##.#....#.#.##.###.####.##.##.##.#.##.#.#..###########.####.#.##.##.#.###....###.#.#####.....#.#.####.#.#.##..#.#.#.##########.#.......##.##.##.####..##.#############...#....#######....##.#.#.##.....#.##....#.#.####.##.##.###.###..##...#.#.......#..##.#########..##.#..##.#..##..#####.#.#####.#.##.##.#######..#..##....##.#.#...####.####.#.##...##......#####.######...##..###.###....#..##.##..#####.##...#.#..##
#.#...######.#....##.##........###......#...##.#####.#######.##.#..##..###.###########.#####...####.#..#.######.##..#.....###...###..##....#..##.#.#.########...#......#######.......###.##..##.##.........##..##.#######.........#.#..#.####.#.#########..#####...#...#.####.###.######........#.#.#.##############.###.####.##...#.#.#......##...###.###.######.#....#####..#..###.######.#.#.##........##.....#..##..........##.##.#.##.###.##..###.#.##.#..#.......#.......##.#...#.#.#.#####.###.#.........#.##.......#.#.#.######.###........#####..##.......#.##.#...#.#.####.#.#.##.###....#..####.########.#.#..##.....##.##..####.####.#####.###.##..###.#.#.##..##..#.##..#.##..##.#.#....###.....######.......##.##..###########.#.##..##.......#.##.##.###.##..#.##...###..##...#.###.##.###..##.#...#.##.###.##.##
#.#.#####....####.##.#########.#.#####.##.#.####.#.###.......##.#####.##...##..#.#.........##.##....##.###...######.##.##...#.#.#...#########........#.##.#.#######.##..###....#####.#....##.##..#########.###....#.#.....##.#.##.#.##.#.#...........#.##.##.##..#########....#..........#.##.#...#....#..##......####......######.#.#.######....###.###...#......####.....#######.###......#.#.###.##.#.#######...##..##.#.#.#.......#.#####...##.#......####.###.#.#...###.#.#....#........###..#...#.#.#.#.#....#######.#.#.#.#.#.######.###.##.##..#.#########.#.##.###.#####.#....#..#.#.####.#.##.##..##.#......##.######.#..###.#.#..#.#####.#..#......###....#....##..##.###....##..#.#.###.##.####.###..########..#.###..##.##.#.##.#.###..#####.###.########...##.#..###..#..#####.#.##...#.#.##.#..#.#####..##..##..#
#.#.#.#.###.##....##..##.#.#.#.#.####...#####......#####.#.####........#######.....###.#.#..#####.##########...##.#....###.##.####.###.####.########.#.#.......#.########.##########.##.#....###.##.#...##.....##.....###.##.###...........##.##.#.#............########...#.####.###.##.#.#..#.#...##...######.###.#..###.###.#...#.#..##.#####..##.##..######.#.#....###..######.####.#.#.#.###.###..#.#.......#....##..#####.#.##.##.#.#...#....#.####..#...#...#.#.#.##..#.##.####.####.##.#####.##.##########..###........#.#.#.#.##...######..##....#.##..........#.###.....####.##.#.#......#.#...#.##..####.#..#..###...##.#.#.#.##.#.#.#.#.#########.#.##.#.####.###.....#####..##.#.#...........#.##..##.#.##...##..##.###..#.........###.########...##....##.##..#.##...##.##.#.#.#.##.###.#....##....#..##....##..##
#.#.#.#.....####.##..##...............#.##.##.#.##.#.#.#.#.#....###.##.#.##.###.#.##...###.####.###...##.....#......#.##...##.#....##.............#....#######..........................##.#..........#....##.#######...####.####.#.##.##.##...#####.###.###.#.###.#.....###.#....#...#######.#.#.#.####..##....##....##....#..###.....##..#.#.##..#.###.#..#############..##.#..#.#.##########.......##.##.###.###.#..##.###...#.#..##.#.########.#######.###.###.#####..#########....#.....#..##########.#.##....##.######.#...#.#.#.#..#.#..#...##..##....######.#.#....######.##........###.##.#.###.#.###..######...##.###.##.#.#.#.##.#.#.#...#.#.#.##..#.####.####.#.####.##..###....#.##.#.######.#.###..#.#....#.#..##....##.#######.###...#....#...#####.#.....##.#.####..#.##.....#..#.#.#...#####.####.##..##.##.###
#.#.#.###.#..#.#.###.#######.##.#.#.#.###..#######.#...############.#.....#.#.########.##...#.#.#...#..#########.##.#.###.#####.##.########.#.#.#...##.........##.######.#.#.####.####.######.##.#.#.####.###..#.#....####...#..######.#..###.###....##...#######....#.#..######.####.#.......###.#.#....#####.###.########.##..####.#####.#......##.#.####....#.#....#.##....##.#.#...#.#..########.######.#.....####..###.##.##.##..#.#.#.##.#...##....#.##...##.##.###.###.##.##.##.#####.##.#.#.##.##.....####.##.##.....###.#.......#####.###.######.####..#.######.###.#.#..#..######.#####.....#..#.#.#.##.#....#..#.##................#.###.#.#...###...#.#.................##.###.##.#######.......#.##.#.######.#.##..#.##..##...##.#.###.####.###.....#####.#.#..#...###.#.######.##.#.#.#.###..#........##.#...#.#.#
#.....######.#........#.#..####.########..##.#.#.....#.##....#....#######.....##.#.#####..#...#.######.#.#.##.#..##.#.#.####.#####.#.##.....#.#####..###.##########....##########.#######.#####..#.#.##...#...##.####.#....#.##..#.#...#.##.###.###.####.##.......##.#.#.##...#####.########.##...#.#.##...##..#.#####.#.....##.#.##.#.#...######..#.#..#.####.#.####.#.#####.##.#.###.....##.#.##.#...##...##.#.###.#.##......##..##...#.#.#....#....##....#.#..#.#....###.#.......#####.........#.##.#..###.#.#......########..#########.#.....#.#.#......###....#.#.....#.#.##.##.#.........#..###.##........#.#######.#..##.#.#.##.######.....#.#.##.##...#...###.#.#.##.####.####.##...#...##..#.#####.#..#.#...##......####.###.####....#.##..#........###########.##.#.###...#..#.###......#...#.##...#############...#.#
##.##.#.##.#.##.#.###...##.##.####..##.##..#.#.#######.#####.####.##.#.######.#.......#..##.#...##.#............#####.#..#.#..##...#....#.######....#########.#.######............#........#.#..##.#.##.#####.#.......####.#..##.....#.#.#......#.....##.##.#.##.###.#.####.#........#.#......###.#######.####....##...##.##......#..#.###.##.####.#.##.#.##.#........#.#...#.##.#.#######......#....######.#..#.##.....#####.#########.......#.###########.###.#####.###...#####.###.....##.#.##...##.####.......####..##..#.##..#.#.##.....###.....#####.##.##.#.#.###.#.........###########.####...#..#####.##.##..#.#.##.####.#########.#####.#.#.....######.##...#.###..###...##...###...#####.###.#.#.##.#.###..####.###.#...##...#####....##.####.#.#...#.#.#..#..#....#####.#.##.#.######.#.###.##.####.#.##.##.###.##.#
####............#.##..#....#...##..##...##.#.#.#...###.#.#.#......#.........#.##.####...###.#.#..#.#######.#.##..##...##.....##..#.#.##.#.##.##..####...#.......#.#....##.##.#.##.#.####.#.....#####.##.#..#..##.###.##....##.###.##.###.#.#.##...#.###..##.#.#....#.#.##.##########.....########.##.#.#..#.####.###.#..#########...##.##..#....##...##......##.#.#.#...###.#.#..#.#.########.#...##.###..####.#.###.#.##.#####..###....##.##.###............#....##..#.###.......#...###.##.#.#..#......###.###.##....##..##..##.#.#.###.####.#####..##.#.##.####.#.#.#.##.#.####..#.#.##........#.#...##.....##.###.#...........#.................####.###.##.....#.#.######.##.#####.##..#..##.#.##.......#.#..#..##.....#..###.####.#.##..#.###.##.#####.###.#.##.##.###.##.###.#..#.#..###...#.#.#.#..........#.##.#.#....#
#.###.#.#.##.#.##.######.#.###.##.##..####.......#.#.#.#.#.#.####...#.#####.#.####....#.#...####.......#####################.###.#.#.#..#.#.....##.####.##.####.....########.####.#.#....##.##.#.#...#####.########..####.##...####..##..#####..###.##..#####.##.#######..##.#.#.#####.########.####...##.#.#.##.#.####..#.#......#.#..###.####....#.##.###.###########.......##.#.#.#.....######..#.#...###.###.#...####.#.####.#...##.#..##.#...#.########.##.#.###.....###.##########..#..###########...#.#######.#..##.##.###.#.#..######....#.#.##.........#........######..##........#.###.#####.###.#.#......#.#####.##.#.##########.#.#.#.#..##...#...##.#.##.###..#......##..#..#####......########.#.##...#######.##.#.#.#.#..#.#..####.#.....##...#.#.#.#.....###.##.#.#...##...##...#.........##.#######.##.#.##.###
#.....#.#.####..###..#...#.........##.#.#..#.#.#.#...#.#.#.###.########........##..##.#.###.##.##.####.#.##.##...##.##.##.##.#.########.#.#####.#..........#....##.##...#....##...####.#.##.#..#...#.#............#.##..########.##########.#..##...###...###########..##.##.......###.#.........#.#.#..............####.....######...##.....###.###.####.#.##.#.##..####.###.#....#.#.###.#.#.#########..#....#####..##....#..#.#.#######.####.#.###.##.#...#..###.##.##..#######.###.#####.###..###.####.###.##.#####.....#.##..#.##..##....##......###.#.#.#.#.###.#.##.#####.####.#.##.###....##.###...#.##.###.........##.###..........###.####..###...#....####.####.######..##.#.##.#.#.####..###.#.#....###.#.##.....#.#.#.#.##.....##.##.#.###..###.......##.##......#.#.###.##.#########.#.###.######..##...#...#....#
#.##.##.###.########.###########.#......##.#.#.#####........##.#.#..####.##.##....###.#####.#.....###....##..###.##..#.##.#..#.##.##..#####.#####.#.##.#.#.####..###..#...#.####.#######.#####.#.###.##.#.##.####......##...##.#.#.##.........##..###.#.#.#....###.#..##...#.#.#.#.....#.#.#####...################..#.########.#...#.#####.##.###.....##...##.#..##..#####...####.#.###.#......###.#..##.###.######.##..##.##.#.####.##.#.#.#######...#.###.##..#..######..##.........#######.#.##.#...##.##..##.#..#####.##..##.#..##..######..#.##.....#####.##########..#......##########..##.....#..###.##.#...#.#.#.#..#########.##.#.#...##.##.....#.#.#.###.###.....###.##.##.#..#.#.###....##.....###.####....#####.....#...######.##.##.###...##.#.###.############.....###....#.###..####.#########..#####.###.##.###
#.#..##.##....##.....#.##.#....########.#########.###.###.#........##.#..##.#..##.##..#...#.#.#####.####..#.##.#.###.#.##.##.#.#..###..#.#....#...###..#####.###.##########.#.#####.#.....##...#####.##########.#.#.#.##..#.........########.####.##....###.####...##.#..###########.#.#.#..##.##.#######...........##..#..##.#.###.#..##...#...######..###.#....###.##.#####.#..#.#.##..#####.##...#.##......##.#....####...#.#.##....#.###..##.##..#..........##.##...###.####.#####....#.##.#....###..#.#..###.#.##.#.#..##..#.##.###...###..##.#####.###.#...##.##.#.##.######.#.#.#.###..#####.#...##....###.#.############.###...##.#.#####.....##.##.#.###....######.#...##.##.##.#.#...####..#####.##.....##.#..##...###.##.##.......#.##..##.#....#####.#.#.#.#..#.###.###...####..#..##.#.....#.##.##...##...#...#...#
#.#####.###.#....###....#.####..#.#####.#.#####.......#########.##.##.########..#####.###...###.###.#.###.#..................#.#.##...##...##.#.##########....####.#.#.##...#.#.....####.##..#.##..###.#.##.......#.##########.#.##..#.##.####.##.#..#.##....#.###.#..##..#.#........########...#.##.#....#.#.#####.###.##.#.....#####.####.##.##.#....##...####.#.#.##.#.#.#.##.#.#.##.##.##...###.#.#######.#..###########.....#####.#...##.#.....##.#.#.####.#..####.#.#...#####....##....#.####.#.##.#.##.#.....#......####........#.###.##.####.###.#.....#.............##.##.#.#...#.#.###....#.###..#.##...####.#.####..#.#.#.#.#..###.##..###.#...#########.##.#......#..............####.##..####.####.#######..##.##......#######.##..##.#######.##........#.##.#.#.....###..#.##.#.###.#.###....#.##.######.###.#.###
#.#......##############...#####.........#..#.#..#######......####...#..###.....###....#####.##............####.######.##.###.#.#.#..#..######.###...#.##.####.#.#.......###.#.#####......###.#####..##......##.#.##.#..........#.###......#.#.....########.#.......##....##.######.#.##..##...#........#.##.#.#......#...#.#####.#.#....###.#...#.####.####......#...............#.#.##.....###.......#.#.....##.###..#......###.#...#.#.###..##########.###......##.#....###..##.#######.##..................#####.##.###.##.#.##.###.#.#....###.##.....#.#.#.#########.###.......#.###.#.###.####.#...########.####.....#.##.#...#####.###.....###..##.###.##.#....#.###########.#.#.#.#.#..##...##.......#.#.##.##.##.######.###.#.#.#......##....##.#..##.####.#...##.#.###.###...##.##...##......#.##.#.##..#.##..#.#.#.#.#
#######.##.##.#....#.####....#..#.###.#.##...##.############.#.#..#...##.##.####.#.####.....#..##.#.#####......####...##.###.#.#.##.#.##.##.#.#####........#....#######.#.###.#...###.##..#####.###..###.##.##.###..#.#.####.#.###...#.##.#...#.#.##..#.##########....##.##.##.###.#.#..##..#.##.#.#.#.#########.###.###.#.#####.#.####.#.#.###.#.#.##..#####.##...#.##.##.#####........###.....#.###...#####......##.#####.####.###.....#.##.##.........#...#.##..#.####.###.##..#.#.#.#####################.#.#.#.#####...#.####.#.......######..####.####.#.####..#####.#.#.#.#...#.#.#..#...#.####.##..###.####.###.#...#..###.##.####...#.####..##..#........##.#.###...#.#########.####....##########......#.##..#..#########.#.#.##.#######.###..##..#########.###.#.#.#.#.##.##...##.######.########.##.##..##.#.#.#...#
#..#######.##.#.##.#.#.#####.##########.##.######.....##.#.#...######..#.####.#..#############.######.....###.##....#..#.#........###.#..##.#.#.#.##.#.###.####.........#.##....#.....#..##.#.#...##.....##.#..##..######################.##.########.......#.#....####...#..#.#.###.##.##########.#.#.##......#####.###...........#.#....#.#...#.#.###...################.#.....#.#.#.############.##.##..######.##..##.##.#....#.#####.#.##..##.##.#.#####.#####....###.#.#.###........#.###.....###.##.....#.....#.#.###.#.##.###.#####...##...##.....##..#.#..##.#..##...#######.#.#.##.##.##...#####.##.#..#.#.###.###.#.##.#......########....###############....#.###.............###..##..##.##...######.#..##.#.##.##....#........#.##.#..#.##.##.##....##.........#.....##.##.###...##.##.#.##.##...#..##..#.#.#...###
##....##.#....###......#.......#.#...#........##..###.#....#.###.##.##...#.#..##.##...#.#..#####.#.#..#.#..#####.#.###.####.#.#.#..#....##..#...#.#######.......#######.#.###.#####.#.##.#......#....##.##..##..##.#...............##.#.#..#.#.#.#.#####.##.....#.####..#.#.##.#.######...##.##....#####..####.#.......#.##.######.#.####.#.###.#.#.#...###.##..##..#.##.####.##.#.######.#.####.#.....#..##.##.#..##.##..######.#.#.###.#..##.#..#######.######.##.#.......#...##.#.###.....##.##.#.#..#####.#####................###.....######.####.#####.####......##..#.#..#...............##.##.##...#.##.....#.###.....##...##.#.#.###.#####.#.##............##....##.#.##.#.#.#.##.#####.##...###..###.....###.#.#...####...#.####...##.##.#.#..#...####.#####.####.###.###...#.#.###.##.##.......##.##.####.....###..##
#####.#....#.###..#.##.####.##.#.#.#...#.##.#..####.....##....#......###.#.#.##...###.#.##..#........#####.#.....#.#.####.########.####.###.##.##.#.#.#.#########.#........#####.#..#########.#.##.#..###..##..###########.#.#####.#....##...#.....#..#############..#.##......#.#.##.###.#.....##.#..###.##.#.#######.#######...............##.#.#.###..#..###.###...#..##...#..###.............#####.##.##....#.##...#.##..##....#.#.#.##.##.####.#.#.....##.#.#..######.##.########.#####.#..#......####......###.##.####.#.##.##...###..##.....##..##.####....#.##....#####.#.####.###.####.....#..###.#..#####.#.#######..###.#..#.#.#....##......##.#########.#..##....############....#.#.#..#..###.#...#.#.#.#.#.#.####.###########.##..##.#.##.#.###..#...###.##....##..###.##....##..#.###.####.#...#.#.######.#.##..#
#.#...######.#.#######.##...#..#.####.#######.##.#####.##..##...##.#..........##.##.#.#..##.##.#####..##...###.#.###.........#.##.........#....##.#.#.#.##.#........#####.##.#.....###.##.#############...##..##.##.##...#######.....##.###.######...##.##.#########.###..##.#........##....###..####...###.............##.#.##.#.##.####.##........####...##.#...###.##..#.##########.#####.#.#.......##..####...####.#..##....##........#.#...##....#####....#.####....#.##..##.#.#...#......####.##.##.####.#.....##.#....###...#####...#######..#####.#.###.#.#.#..#.##...#.###.....####....#.#...##.#.##.........#.###.#.####.##.#.....##.#..#.########.###....##..##.###..##.#########...#.#.#####.#.#######.#.#.#.#..##...............#.###...##.#...##.###.#.######.####.#.#.#####..#.##..#.....#.#.#.#...#.#.#..#..##.#
#...#..#.###.#.#.####...######....######..##..##..########.#..####.#.##.#.#.#...........##...###.##..####.##...#.###########...#..##.##.#...##........#......######.#.....##.#####.#.........#.#.##.############.##..###..#.#....###.#......##.....#....#.......#.....#..##..####.###.#######...#######.....###########.##......#.#..#....#########...###.##..###.##..##.#####.###.#.###.....#########.##.##..###.#.##.##..#.#####.######.#.##.######..##.####...###..##....#.##....###.##.#.#..##..#..#.....#####.#.#####.######.##.#####.#.##.###..###......###############.#.##..##.##....####.###....#..#########.#.#...#..#.#######.##.#....######.##...#.######..########.....#.#.#..###.....#.##....##.#.#....#.#...#####.###########.....###.#..#.###...##.#..#.#.#..#.#.#.....####....##.##.######.####.##.#.##.#.##..#
###.##.......#.#..#...#....#.####..#.#.##.###.##.##...#.##.#.###...#.#..#####.#.#######..#.####.....##....########..#.#......#...########.#..########.######.##.######.##....#.##..##.#.####..........##.#.#.#.#..##..###...####..#######.#####.##.##.#...#####...#.#...########..#...........#.#..#.##.#.#.##.#...........#.##.#######.###.#.#.####.##.#..##.##.....###.#.#...#.#.#..####.####............##.###.#.#..##.####.##..#..#........#.#.###....#..###.#.########.#.####.##...##############.###.#..##...###.#.###......##.#.#.#.#.##.#.#.##.######.##..#####.#..#.......##..#..##.#....####.#...##.##.#......###.##...##...####..##.#..###.#.#..#...#.#####..#.##..##.#.##.....########.#.#####....#.####...#.###.#.#####.###.#.####.##.#.##.#.#.##.##..#.##.#.##.#.#.##.####..##.#.#..##.##.##...##..##...##.#.#..##
#.##########...##.#.#.##.#.....###.....##.....##.####.#.#..###...#.###.##.....#######.##...#.#..#.#..###.##.###.###...###.#.##.###.....#########.#.##.###....#.....#######.#......#######....###.###.##........#.####.#.###.##.####.#.#...#.....#...#####.##....#.#####..#.#.....###.##.##.##.####....#######..########.##.#.#..#.......#.........##......##..######.#...#.###.......##....###..#.##.#.###....#...#.##.#...##..######...###.##......#####...##.......#.............####..##.#.##.#.#...######..###.###...########.##.#...................#.#...#.##.#.#.##...#####..#####..####.###..#####.....#.######........#####.##.##.########.......##.#.........##....##..#....#.#..#.###......##.#.##...######....##.#..##.#.#.....###.....#.##.....##.###...........#.#.#.....##....####.....#.###.##..####.##..#...###
#..##.########..#.############.#.###.#..#####.............#####.##.#....##.##.#..........#.....##.##..#####.........#..##.######...#.#.#.##.............#######.##..#.#..####.#.#.#.....##.#.#...#....###.##.#....##........#...##......#.#####.##.##......##.#.#####.#.##...#.#.#...#..##.#####.####.##.#.###...#......##.#.#.##################.#######.###.#.##.....#....########.#######.######..#.##..##...#......###..#.##.##.#####...#######..######.#..#####...##.##.#.#.#......##.........###.#.##.#.######.##.##.#...........###.#.#.###.#.###.....#...##.#....###.#.....####.#########...###....###.#.#......######.##.#.....####........#.#.#..####.#.#.##..##.#..##.##.#.####.#.#.####.###..######....####.###..#.##..#...###...#####.#.######.##..##.#.###.#.#.#.#.#.#########..#.#####...#.#..##..##...##.##.##.#
##.#.........##.#.##.####............##..#######.###.###.##.....##.##.#..####.#.######.####.##.##.##.##.....#######.##..#####.########...##.######.#.##.#.#.#######.#.##.##.###.######.#######.######.#########.#..########...#....###.##.#.....##.###.##.###.#####......##########.###.##.#.............#.#.###.######..#.#.####......#.#.........##.#.#........##########.#.#....#..#.#.##..##.##.####..##..#######.#####.#.##.##..#....###.#.#.#.##........###....###...########.#.#....#.#.#.#.......#.....#.##........######.##.#.##..###.##..###.#########.##.###.##########.#.....#.#.#.####.##..#.####.#.###########...##.#####..####.#.#.###.#.#.##....#.###..##..##....##.###.........#....###..#...####........##.#..##.###.#####.##.#..#...##...##.#########.###.#.#...#.#.##....##.#.....###.##.##.##..###.....##.#
#....#.#.###..........##..#.#.#.#.######.........##..#....##.##.##.##.##.##...#####....##...##.##.##..##.#.###.......##.###.#.#........#.#####.###.###.......##.................#.........#.#####........##.#...##..##...#..#####.##...####.#.#.####...##.##..###...####.####.#.#####.#..#.###########.#...........###..##.#.##.######.....####.##.#......#####.##.###....#.#.####.##.#......##.....##...######...............##.###.####.##........#####.#.###.##.#.##..#.###..##..######.#.###.##.#.##...#.#...#########.##.#...##.#..##.#...######.........#..........#.........#####.....#......########.......######..###..#..#.#..##.##########.#.#######.#..###.#######.#.##.#########.#.###.##.##.##.##....#.####.##.#.##....#.#......#.##.#.######.##..#.##.....#.......#.#...##.##..#.#####.#....#.##.#..########.##.#
#.#.########.#.#.####....###########.....#.#.##.########.#####..##.####..####.#.....##.#..#.#..##.#..########..#.######.#.#.#.###.######.#.##......##..#.###.######.##########.##.####.##....##.########.##...#..##..###.#####.#######...####.###....#..###..##.###.##...#.......#.##...####...........##.##.#.#.#.....#######......###.#.########.##.#.#.#..........####.#.#.#.#...#.####.#############.##.....#.#.##.#.#.##.............######.##....#######.....#.#######.##....##......###...#########.#.###...........#....#..#.##.#####.##......#.##.##...########...#####.########.##.#.####...##.#.###.#.#......#.##.##.##...##.#..#.#......#######.#...#.##...#.....###..###.#.......#........##.#..#########..........####.########....#.#.###.....##...######.###.###.###.####.#..##.........####.##...###.##.......#
#.#.#.#.#....###.#....####.#.#.###.#####.#.#.#..#.........##...##...######.######.#.#########.########...##.##.#####........#.#.###...#....#..##.#..##.#.#..........##..#.###..#..#....#####.#..............#.##..##.#.#.#.....#.#.##..###.####...##.##.#...##.......#######.###......###.#######.#################.##...#######.##..#..#.#...........###.##.##.####.#........#.###.#.#..#.#..##..##..#########.#############.##.#.##.##.##.####.#..##.#.#.#...#####.#..#.#..####.##..##.#..##.#.#...##.##.#.#...###.##.##...##.##.#..###.#.#####.##.#########.####......###########...#####.####...#.#....#...#.##.###............###..#.##.######.##.##.#.###.#.#..#######.#...##...#####.####.#####....##.#.#.##....########.#.##.##.####..##.....#.#####.##.###...########.#.##...#.####.#####.####.#.#..####...#.#####.####
#.#.#.....##.#...##.###.........#........#.####.##.###.#.####.##..###.#.....#.....#..##.........##.###.###...###.....##.###.#.#..####.####.##.##.##.#..#####.#.##.#####.....##.##.#.##.#.##....##.##.####.#.#######........###........##.....###################.#.#.####.##.##..#.##.##..#.#.#...#......#..#.###.#..##.##.#.....###...####.#.###.##.##....###..#....########.#.#.#.#.##.#.#.##..####..##.#.#...#.....##..##..##.#.#..#..#.......#.##..#.#.###.##..####...##.#.####..##..##..#######.......#.##.##...#..##.#.#..##.####...........#..#.........#..#####.##.....##..###...#....#.#.#.#.####...#.##########.########..#..##..#..##.##.....#.#.#.#.####.#.......########....#####.####.#####.##.#.#.#####.#.............##......#######.#.#...#.##.#.##.##.##..##....##.##..#.#..#..####.#.#.##..##..###.#.#.#....#
#######.#..####.##..#...##.##.#...##.##.##.#....##.#...#.##....##.#.....###...##.##.########.##.#.......#..#.####.##.####.#.....##.#.......#...###..##...###########....#.#..###..###..#....#.###.#..#########.##.##.#.#.#.####.##.#.#######.#.###.#.............#.#.#........##.####..##.......#.######.##....#....##..#....#.###.###.#.#######..#...############.#........#.#.#.#.#.#.......##.##.##.##.#.#########.###....##..#.##.#.#######.######......##.#..###.###.......#...####.##.##.......#.#.#.###..######.########.#.....##########.##.##########.##........##.##..#.###..#.####.#.#####..####.######.#...#######.####.##.##.##.##...###.#.......#####..###.#.#..###...#.##..................##.#.#..#.########.#.##.##.####.####.#.###.#.#.#...##.#.##..#.###.#####.##..##.#.#.##.###.#......#.##..###..#.#...####
#..#....#.##..####.##.###########.##..###..##.#..####.##..##.#.##.#.#.#.##..#.##.#..##.#......######.##.####......####.#..#####......###.#...#...##.###.##......##.####.####..#############.#.#...##.#...#.#.#.#.....#.#.###....#..#.##........#.#.####.##.#.#.#.###.##.##.#.#####....##..#.##.####.#.......##.##.#..#######.#.#.......#.........###.#####.#.....###.#.#.##...#.#...#.#######.##.##.##.#..#.##........#.#.#.####.####.#.#.....#####..##.##.######.....#########...#.##.#.#..###.##.#.#######...##......#.##.##..#.#####.######.#########.#..#########.##.##..##.....####.#.......#.###......#........#...........#.....##..#.#..########.##.#..##.######.#.##.#.#.########.##.#####.##.##........##.#.#...##########..########.........####.##..#..##.#.#....##....#.##....#.##..#..#####.##..##...#.##.###.#..#
##...##.#.###......##.#............##.#...##..#.##.....##.#..###..#####.###.#..####.##.####.####.#...#..#....#.#.##.##.##.......#.####...###.########...#..####.#...#.####.##...##...##.#######.#.#..###.........###.#.###...##.#.############..........######.###...##.#..####....##..##.######.##.###.##.##.....#.##....#######.##.###.##############......###.##..#.######.#.###.#...###....#.#..#..##.#..######.#.....#.#.#####.#########.##.#..#####...#.#.#####.#.##......#.#.##...##.#.####.####.#.##############.#.....####...............##.#.#.#.##.##......#..##.####.##..##..#####.#...#...####.#.##.######.########.###.#....##.##..#..##.#######..#.#.##.######...#.#.##.#.#############.#..#.#.#.##..#.###.#.#.#.##...##.##...####.##.#..##..#..##.##....####.####.##..##.###..##.##.##.#...##..#.###.#..###...##
#..###..###...#.##.##.###.#.##.###.#####.####.######.#.#..##.##..######.#...##.#....#.....###.#....####.###.#######.#.....##.##.###....#..##.##...########.###....#....##..###.####.###....#.#######.##..#.#######...#.#...#.##.#.#.##...###...#.##.#.#..##......###.#####.#....#.####..####..#.........#..#..##.########.#.#.#.#######..#........#...######.#...#..#####...........###.#.##.#...##.##..#.#.##.####.##.##.###........#.#.........##.##.#..#.......#.#.#.######.##.######.####.##.###....#....#........#....#.#...#####.#######.##..........#...#####################..##....######.######...#.#..#....###.....#....######..#....##.##...#..#.##.#.#.#..##.##..#...#.#.....#..#.........##.#.#.#..##.#.###.....#..###.##..###.#.#...####..##.##..#..###.##.....##..##.###..##.##..#...#.#.#..#.##..##.#.##.#.####
##...##.#####.###...############...#......#.###...#..#.##.#..#..##..#...######.##.#######.......#####.#.#####.#.#.....#.#.#..#######.#.##.#######.#.#.##.###...#.###.#.##.##.#.#.##.#.####.#..##...#####.#.#.......###.#.##########..#.#.....#.#.##.#.#.##..#.########.....##.#####..####..##.############.#####..###.###.#.#.#.##.##...#####.###.###..#.###.###...#####..###.#####..#.....####.##...##...#.##.#....#...#.#########.##.#####.#.#.........###.##.#...#.#.#.......#..##.##.#.........####.##.#.########...#.##.###..####.####.##.###########.###.#####...#...#.##.##.##..####.#.#......##.##.########.#..######...##.##.#.##.####.##.####.##.#..#.....##.....######.....#.#.##.##.#.####.##.######......#.#####.##..##.#..##.......####.##.....##...##....#####..##.##.....##...##.###.#.####...##.##....##.#.#.##
##.######.....#####.##........#..####.#.#...#####...##.####.#######...####.....#####.#....#.##.##..........#..#.####.#########.......#.##.#....##...#.#...#..#.#..####.#............#.#......###.#..#.##.#.#.##.######.#.##.##.#.###.####.##.#.#.##############....#######.#####.###.##.##.....#########...#.....##...........#.......#.##....#...#.##...#.#########.#.#####..######.#####..#.#.####..#.#...##.#######.####.#.#..##..#.##..#############.#....#####.......#.#.#.####.....####.###.##.#..####.##.......###.#####..##..#.#.......#.#..........##.#...###.###..........#.##.##.#...###.###.#####..######.##....#####...#...##.#.##.##.#.#..##.##.#.##.######.##.######.#.###.#...##########....##...####.#..##....##....#.#########.##...####.###..#######.##.##.##..######..##.##...##....#.#.####.##.#####.#....#
#..#.##...#.###.....#..######...##....####.##.#.##.#####.########...#.##.###.#.#.......#.##.##.#..########.##.#.###..#.#.......###.#.#.#..####..###.....#...#######....##.#.#.##.##...######.#.####......###..#####....#.#...........##...##.#.#..######.#......##....###...##....##.##..#####...........#####.######.#######.######.############.#.####.#.###.#.............##....#....###.#....##..######.##.#.#.#.###.##.#.##.###.#.###.##............#.#.##.....#.#.#.#.#.#....########.####..##...##.#..###.####.#####.#.##.###.###########.##########..#.###.#.#.#.######.#.#...#.......###.#.#.#.#.#.##.#.#.......##...#####.##.##..#....##.#.##.#..##.#.####....#.#...#.########....#..#......###.#..######...##.#####..###.##...####.##..###.#.#....##.#.##.#..##.....##..#..##.##...##.#####.##....#.#.##...##..#.####
####.######...##.#.#####......#..##.#.###..#....##..#.##..####....###.#..########.#.#.##..#######.#.............#.#.##...##.##.#...############.....#.#.######..##..##....######.##.#....#......##..#.##.#...##.....#.####.#.#.###.#..#############.#.#..##.##.######.....###..##.##.##.###.#####.####.#.##.##.##.....#...............####...................#.######.#.##########.####...#.###.####.#.#....##.#.#...###....#.##.#.#.#.#.#.######.#.##.#.#.#.#####.##.#####.####.####.#......#.##..###.##.##.#.###....#..##...####....#.#.##..##.#...#.#####.#.#.#.....#..###########.#.##.#.###....#.#...#.##.#.######.##..#.......#...##.##.###..#....##.#....#.###.#...#.#......#.##..#.###.####.#.....##.#.##.##.##...##.#.##...##.#.#.....##.#.....###.##....##.##.######..##...##..####.##..##...#..#.##.#....#####.#....#
#...........#..###.##....#.##.#.##..###.#######.#..##....##.#..##...####.#.##.##########.##..##.#########.###.#.....##.#..####.###..##...##.....#########.##.##.#..####.#.###.....####.#...#.##....##.#..###..##.#.####.#..#.########..####.#...#.#.....######.#..#########.##.#......#..#........#....###.....##.#.#.#####.##.##.#.###.#..####.#.#.########.....#....#.#......###.#.#..#.#.#....#.#.#.####.#..#...#.#.####......#.#.....#.#.##.#.#.##.#.#####.###.####..##...##.##.#.######....##......#.#......#######..###...#####.....###.#..###.#.#..##.......#.#...##...##.#.#.....#####...##...###......#..##.#####.###.##.#...#..#.#....##.####.##.####....######.#.###.##...#..##.#....##..###.######.....#.####....#.####.##.####.#.#######.#..##..##.####.##..##..##.#..###..##.....##.####...####..#.####.#.#...####
###.##.#.##.#.###...##.###########.###...######...######....#####.####.#.#.#...##.........##.#.....############.###.##.##.##.#.##..#####....###.####...#..........##.######...#.#.##...###.#..##.#.##.##.##..#######......####....#.##....#.###.....#.#..#.#.####..............#.####.##.###############...#.#.#..###.#......########.#.####....###.#........#.#...#.####.#.##.........##.....##.#.#.#.#.##.##.#.#####.#.#..####...#####.#.#.#..############........####....###..#..#.#.###..##....####.#.####.####.##.##.....#...##..###.#.#.##.#.#.....##..#.#.#.#####..###.#......#.####.#########.#.#####.##.##...##.###.####.##.###.....#####.###.......##.####.##.#.#####.#..#...##..##.#....##...#......#.#........##........##..#.###.#.##.####.####.....##..#..##..###...##.##..#####.#...##..#######....###.#.#.###..#
#...#..#.##.###.#########.#......####..#.#.#....#..##....##.#.#.####.......###..########.##....#.#......##.......##.##..###.....#####.###.###...#....#...#.#.##.####.#.#....#.#.######.#...##..###.##.#..###.#.......######.###.#.#.###.#...#.##.#.##.##...#.###..##########.######........##.##.##......###.###.####.##.##.###..............#.##...#.#.#.#.##.#.#.#################.#####.#.###.......#.#.......#.##..#.######..#.##..#.#.#.##.##.##.#....####.#.#.#....#.########.#.#.#.##.###.####.....##....##........###.#########..............###..###########....##...#.#.########..#..##.#.......##...#.#..#..#.##...#...#...######.##......#######.......#.#.....##.####.##.####..###.##.####.##.##.#####.#.#.#.###.#####.##.##.##..#..#.#.#...##..#.#..##...###.##.###....###..##.#.##.####..#.#.#..####.#.#....#..##
#.#.#.##..###.....##.##.....#.##..#.####.....#.##.#####.###...#.##.#######.##..###..###..##.#.##.##.#.#....#.###.##..####...#.####........##..##########.#.#.#..#........##.#.###...######.##.##...#..##.#.#############......###.#.#.#.#.#......#########...#.#.##...#.#.#####.#...##.###.....#....##.#.#...###.#....##.#..#...#####.###.########.##########..###.#..#.##.#.#.......#...###.#...###.#.....#.###.#..##...#.##.####.###.#.#.#.......##.####.##...########.####.##....#...#.####...#..###.#..##.#....#########...###......##.##.#.###.#####..##.#.#.#.####..###.#.#.##..#..##.##......#####.####...#####....###.#####.###.#.....####.###.#..######.###.####.##...#.######.#####...##.#.....######.##..#.#.###...###....#..#..##.#.##.#.###..#######.####.##..##.##..####.##...........##.##.#.#.##..#.#.#.#.##.###
#######..########.##.#####.##..##....##..##.##..###.#...#...#....#.#.#......##.#.##.#.#.##########..#.##.#.#...###..##..###.#.##.######.#.#..##.....#....#.#.##.##.#.#.#.#..#######.#.#.....#####.########.###.#.........####.##........#.#.##.#.#...##.####.#.###..#.............#.####...###...##.#######.##...##.#.#..##.#.####......####.......##....#.######..##..........#.#.###.#.....###.###.#.##.######.#.##..#.#.##.#..........#.###.###.##..##...###.#####....###..#####...#...#.#..####.....##....##.###.......###.#.####.################..##......#.#.##.#.##...#######...##..####.##.#......##..#...#.####...#.##.#####....###..##..#.#.##.#.###..#.#..###....###.##.###..###..############...#.....##.#.#######.####.##.#.##....##...#...##.#.##...##...##....###.#.##.####.#####.####..#.#...##.##.#.#.####...#
##.#.#..##..##....#...############.#....##...####...##########.#.#.#...##.#..#....#.#.######.##.########.###.######..##.#.#.#.#..#......#.##..###.#.##.#.#.#.##..###.#.###.##...........#.#.#...#..###...........#####.####...#..#.##.#.#.#.########...........##..##########.##.##.#.####.#...#.#..#...#.#..##.#####.#.#######....#.#.####..####.##..##....###.######.#.#########.#############.#...#.#...##....#..##.#....#.########.#...#.####..###..#.#.#.###.#...#.##.##.#..########.....###.#.###.#..#.########.####.....#.#.######.#.##.##.##.#.########.............#..####.###..##..#############..#####.##.#....#...#...##.######.#.####.#.#.##.#.#.##.#...##.####.##..#....##...########.########.##.##.#..#.#....................#######...#......####.##.###..##.#.#...##..#####..#.......##.#.####.##.#.#..#.##.##
#......####.#####.###.....##.#...#####.########.###..#.#.###.###.#.#########...##.#.#..#.##.....#.###.....##.##.....##......#.##...#.##.###..######..###########.#...###...#..#.#.##.#.##.#####.####.########.#.##.....#....#...#######.#.###.#.#.#####.##.#.#....##.##.......#..####......#.#.####.###.....##..##....###.######.#.#.#.#....###########..##.......#.#..#.#...##.##.#.###.........#.#.####.##..##...#######.##.#.#..#######.#.##.##.#...####.#.###.########.##.#.##..###.#######.#.########.####.##....#.######.#...#.#..#.#.#.....#.....#.#.#.#######.#.##.###..#.#.####.##.##.#...##.#.##.##.#.#.#..########.###.#..###......#.#.......#.#.#.##.###..#...##..##.##.#####.####..##..............##.##.#.####################..##...########.###.#.......####..#.#.###..##..###.###.######.#..#.#.##.#.#.##.##..#
#.#.##.#..........#######....##.##.....##.........##.........##.....#.##.#...#.#..#.##.#..#####.#.....#####...##.######.###.#.###.##.#....##.##..###..#.#.#.#######.##...#.##.#####..#.#..##.....#.#.#.##...###..#.#.#.#.#.######.##....###...........#.#..#.##.#.##....#.#.#.#.##.#..###.####.##....###.##.##.##..######.#.#.######.#.###.##....#.#.#..###.#.###.....######.......#.....##.##.#.#.#####..###.####...##.#...#.#.##.#.##....#.#..##...#..##......#.###..#....#.#..##.#.#.##...#.....#..#######...#######...#....##.##.##.#.#.##.##...###...#.#.#.#.###.######.##...#.#.#......#.###.......#.##.....#.##.#..........#.##.##.#.#...###.###.#.#...##.#.##.###.#..##..#...#.##.##.##.#..####.##.####.#..##.###...........#....####..##.##.###.....##...#.#.#..##..##.#.#.##.##.##.#.##..#.##...#.##.#..#.#....#.#..##
#.#.#..##.#######.#.###.####.##.#..#.#.##.#####.#####.######....###........#.#.##......#.##.#.#.###.#.#.....#.##.#...#####..#..#########.###..##.....##...#..##.#.####.#.###..######.###.#####.#..........#..#..##.###.#####.###.....##..######.##.##...#.############.##.#.#####....##....##..#######.####..#########..........#.##.#########.#.....##.##..#.#...###.#.#.####.#.#.##.#.#####..#.#.##....##.###.#..#....#.#........#..####.#.##.#######..######...#.##.#.##.....###.#.#..###.#####.##.#.##..###.#.#..##.#...##...............######.#####.#...........##......###...#.####.###.#.###.#.#...####.#....#.##########.#.##.#######.######...#.###.#..#.##.##..##..##.##.##.#..##....#.####..#..#....##.#########.#.##.#...##....#.###.#..#.####.############.###.##.#.#.#..#..##.#..##...####.#.##.#.##.#.##...#.###
#.#.#.#####.......................##.#..####....##.##.#......#.#####.#.#.#.#.#####.###.#.#......##########.##.####.#..##.#######...#######...####.##..###...###.#.##...#####.##.#.#..##....##..#.##.###.#.##...###.#...##........#.#.#..##......#...##.####.............######....##..#.#.####.#............###.##.....#.##.#.#....#####.#.....#.#.#.....##.#.#######.#........########.##....##.#####.####.##....###.#...#.#.####.#.##..........##.#.#.##.##.###....#.########..#......##...............##.......##.#..##.#######.#########..##.####.......#.#.##.######.#.#...###.#.##..........######.#.#.#######.#..###.##....#.#..#.#.#.#.##.#####.#..##.##...#..###.#..##..#..##...######.#.#..########.#..###.##.#.#..#.####.#.#..##...#.#.##.#..##...##.##..####.#.#.##.....##.#.##....##..###.#..#.##.#.##.#.####.#.#.#
#.#####.#######.#.##.#####.####.#.#..#.###.#.##....#########.###..#..#.###.#####...#.....######....#####...##.#....##.....##.#.###...#.##..#.#.#...##..####.##..#..###.###.###......##..##..##########..#.#..#...#############.#.#.#.##.#..#.#.###.######...####.#.#.##.#......#.##..##.#....####.#.#.##.#.##....####.####..####.#.##..#.############.##..#.#.#.......############...#..##.##..###.....###..#######.###.###.#.#....#..#.#.#.##.#.........#.##...####.#.##...#.##.##.###..###############.###.#.##....#######.##....##........##...######.##.###################..........##.#####..##..###...#.#.......##......##.#.#.##........#.#.#.#.##.##..###.#.##...#.####.#.#####..##.##.####..##.##...##.#..........####.#########..#........##....#..#.#..##.#.......#.###.##.#..##.####.####.##.#.##...##.#.#.####...#
####.##.#.#.########.#.....##...#.##.###.#.#####.###.##....######...##.##..##....#.###.#..#.#.####..#.#..######.######.##.##.#..####.#..######.#######..##..###.##..####.#.##..#.#.##########.#........#######.#.###.###.#.#...#.#.######.#######...#.#.#####.####.###########.#..##.#..######....###.#..######.##....#....##..###.###...##...........#..###########.##...######.###...##...##...##.#.##...##.#......#..#...######...#############.#####....##.##....#..###......#######..###....##.#.....##########...##.#.....##.#..######.####.#.#.########.#.##...##.#.#.#############...##...##..###..#.#.#######..####.###..#.#.####.###.##.#.#.#....##.###..#..###.#.##......#.##.##..#...#.##....##.###################....#.#.####.#.######....#####.#.##.##.##.###.####.#..#...##...##.....#.##.#....###..#.#...##.###
#....##.#........#.###.#.######.#.######....##.#.#....####.##.....#.######..##.#.###...##.....#..##...#####.########.#.#..##.##..###...##.#.#....#.#.##..##.#.#.###..##..#.#..##.####.##........#.#.####.#########...........#.#####...#####......###...#.##.......#...#.#####.#.##########....##.##..#####.#.#..######.######......####.#..#.#.#####.##..##.##.###..##.#............#.#..####.####.###..#......####.######.###.#..#..##.#.##...###########..#..####.##..#######.#.#.....##.####......###..##.#..#####.##.#####.#..######.##........................#..................##..#..###....###..##.........#.##.#######......#.####..##...#.####.##.#.#.##.##.#....#####.##.##..##.###...#####.#####.##.##.#.#.###.#..##..........######...#.####.#.........######..##..##.###..###.##.#####.#....##...##.#.#.###..#.#
####.##.########.....#######.######.#..####.#....##.#.#.#.....###.###.##.##..#####...########.##..###..###.....##....####....###.#.###.##.#.####.#....##......#.#.#.####.#.########.#.####.#.##.#####.....#....#######.####.##.##.####.......#.#.##...#......#.#######.........#..##..##..###########.#.........##...#####..#######..#.#...####.###...###.#.........######.######.##.#.#.###...#..##################.#.#.####.#.##.##.......###...#.....####...###......##....##.#.##.##.#..###..#.####...###.#.##.#.#.##.#..#########.......##.#.#########.#.#.###.##.#.#.######.####....##.##...##.##..##..#.##.##...#...##..#..####.#.##.##.####......#.#..........#.###.##.#.#.##.#..##...#..###......##.#.#...............####.##.#.#.##......#.#.#......##.####.#.##.##..##.##.#...##...#.....##.##.########..#.#...##...#
#.......#.#.#....##.###.#......#.##.##.#.#..####..###.#.##.##.#...##......##.#.....#.#..#..#..###.#.#.##.####.####.#.##.####.#.#.#.#...#.....##..####....##.#.........##...............#.########..##.#.#...####.#.....#..######.......###.########.########.####.#.#..#.#.#.#.##..##..#.##.#.#....############.####.#.#.##..#.#####.....#.#.####.#####.#########.#.#......##.....##.#.#.#...#.##.###.#................#..##........##.#.##.#.###.#.###....###.##..##.#..####.##.#..###..##.#.##.########........#.....##.##..##.......###.#.#######........#####...###########.###....##.#...###.#..###..##.#########.###.###...###.#.#.#.....#..#.####.....#####.##.#.##.......#.#..#.#####.##.#.#.#.##......####.#.#.###.#.###.#.#..#####..##.#.#.#.#.#.#.#####......#.....##.....###.##.#...#####..#..##.###.##...#.###..###
#.#.#.#.....#######...#.######.#.##.##...##...###..#..#.....#.#.#..######.#############.##.##.......#.#..#.....#.###.#..#.#..........#...#.#..##.#....##############.##..#.#.#.#.#####....#.#..###....#####.##.#.########..#.....##.#########.#.#.####.#.#####........######.#########..........##...##.##...............###.#.#.....#.#.###.#.#...##....##.......###.##.#..#####.#..###.###.###....#.####.##.########.##.#..###.#######.#........########......########.###.....##..#..##.....####.....########...###.#..##.#########.#...#.#.#.#.##.##.#.###....#.#............#..#.##############.#.#.#####.....#........#..###.#.#.....#.#.#.#####...#####.....##......#.###.#.##.#..##...##...###..######..#.#########.#.#.....##.######.#..#############.....####.###.#####.##.#...######.....##.##....#.#..##.##.#.#.####
###.#.##.##.#.###.###....#.............#..#.#.#.##.##...#.#.#.######...#....#.#.###.#.......####.##.#.##.####.##.##..##.....####.#.#####.####..#.####.#......#.....#..##.#####.###.....##.....##.##.#.##.........####.#.##.#.##.##..#.....#.#.#.#.##.......#######.##..##....#...#.#.##.####.#.###.#.......###.##.######..#......###.#.###.......#.#####....###.###....###.##.....#.##...###.######...#....#..#.........#...####.##.#.#####.#####..#.......#.##..##..#.#.#.#####..##.##.####.####...#.#..........#.#...##..#.##....#...###.###......######...##.#.#####.######.#...#####.#.##.#..#.......##.######...##.#.#...##.......##.##.#....##.##.###############.##.#.#......#.#.#####.####.######.#.###.#.###..##...#####.#.#....#.#..##.##.#.#.#.#.#..#####........#.#.####.##.##.#.#..######....####.##.....#........#
#...###..##........#####.########.#.##.##...#....#.#..#.#.#.#..##....#...##...........#.#.#.#....#....##......##.###..###.#.##########...#..##...##.########...###...#################.####.#..#..#######.#.#.##......#.#..#.#########.##.#..........####.##.#......########.#.#........########...###.#.#.#...#######.##.##.##.##...###########.#..#..####.#...#...#.##...#..########.#.#.###.#.#..#...##.##.#.#####.#...###....##....##.###.####...#.###.#####.###.#.#.#...####.#...#......##.################.#####..##....####.#####....#####.#..##.##.#.#######....#......##.##........#.##...#.#.####...##...#..###########.#.##.##.######.###.#####...##.#.#####.#..########.#.#..#.#...###.#.##.#...#.....#.##..#.#.#.....####.###.#######........#.##.#.#####.####.#.#.##...##.##.#.##......###.###.#.##.###.#.########
##.#########.#.#.#..#........##...#.##..###.##.#.....####.#.#.#####.###.####.######.#######...#.#####..######.#..#.#.####.#.#..........####....#.#...##....###.#...###.###.#..##..######.#####...###.##.###########.#.....####.#.#######....#####.#.##.......#####.##......#.#.#.########..###################.#........#.##########.#....#...#####.#.#########.##.######.########.##..#.#.......#########.#..###..######..###.#..####....#.....#..#.###.###...........#.###........#...####.#...#.##..###.......#..###.#####.#.#..#...######.######.....#####.##..##.####.#.########.##.##......#######..###.#########..#..#..#########..#.##.......#.##..#.......##.#######.#.....#...##.###.#.#.#.##.###...#.#.#.###.######.##########..#.##.#########.#.####.#.#...#.........###.##.##...##.#######..#.#.#.##.###..........#
#..#...#...###.####...######....#.#..######.#..##.##.##...###########.####...#......#.......#.###.####........##.#.#.##...#.##.#####.#.#..####.#...#.#####.#######...#.#.#.##.###.#......#.#...###...........#.##.#######.#.#....#..#.##.#.###....#.#..#####........#.###.##########...###...#.##.##.##.#.#.#####.#####...#.#..#.########...#.#.#.#.......##.#..####.#.#..#...........##########.#.........#.#####...#.#..##.#########.##...#.#...##.##...#######.##.#.......#.##.#.##.###...###.#..##.....##.#####......##.....##.#.#.#.............#.#..#.#...##.#######.#####.#..######..######..#..##.....#.###.####.##.##.#.#.##.###.#.#..##.##....##.#.##.##.#...##.#...#####...#..#..##...#.#.##.#.##.####.#..##.##.########.#.#.#.##.....##.###.....#.##.#.######.###.####.#.#..#..###..#.#.##..##.#.#.####.##.####.####
######...#.....#..######.....##.#########...####..#..#..#.##...##.#...#....#.########.###.#.#.#........#.##.#.........###################.#.########.#.##..........###.#.#.##.#...######.#.###...#########.#...##..#..###...####.##......#.#...#.#########.##.#.###.###.#..##.##...###.#.###.#.##.##.##.#...#.#.###.#.###.#.##.#.#.#..#.#####.......#.#.#..#.##.#........###.#####.##.#.#.###......#.#.########.####.#.#####.##.##.....###.##.###.##..###...#.###.##.#.####.##..########.###.#.....####.########..######..####.##..#.#########.##########.....#.....###.#..#.......##....######.###.#.##..#.#...#.........................#...##..#..##....#######.##.###.##.##.....####.##..#.###...##...####.#..#.##......#.#............#####....#.#####.#.#....#..#.####...##......##.##.#.##.#.###..#.#....##..##....####.#
###.#..#.##.##.##........###.#..##.#.#....#.#####.##.##.#.##.#....###.#.#######.###########.#######.#.########.#####.##.#####.......#.##......##........##########.##......##.###..##..#.#...##.##.....#.#####.###.#.##...###..#....##.######.####.#..........#.#####...#.##..####.....#.##....##.#.....###.#.#.##....#...#.#..#.#.##...#..#..#.#.########...#######.#.###.####....##.#.......#.#.####.####.#.#.#.#.....##.#.#...###.###.###..##...####...#.......##.#.#....##.##..............###..#######.##.##.##.####.##....##.#..##...#...##..##..######.#####...#.#######.##..##.#####.............####.#...#.####.#.###.#.###.##################.#.###.......#.#.#.#...#########...##...####.##..#.#.#..##.#..#####.##.###.#.##.###.....##.#....##.....##.#.#.##..#.###..######.#...#.#..#.#...##.#.#.######..#.#####.#.#
#.#.#######.##..##.###.###...#####.....#.##.#.....##.#..#..####.#..##.###.#.#.#......##.#...##.########........#......#.#.#.#######...#######..#######.##.#.##.#.#.#####.###...###.###...##.##...#####.#..#.....#.....###...##.###.######.....#......####.#.#####...###....##..#.##.##...####.##..###.#.........#####.#.#...##.#.#.####.##...#######.#.#.#.#..##..########..#...#.##..#.#.#########.#..#........#.##.##........###...#.......########.######.##.#..###.#.#.##...##.####.##.#.#..###..#.##.#.#.....#.......#####.#....#####.#######..#.##.##.#########....##.#.#####.....##...#.#.#.##.#.##....##.##.######.#...#########.#.####.##.##...#.#...##.##.........#.....###...#.###.##.##..####.#.##.#..#.##...#.....##############.###.##.#....###.####.#.###....###..#.#...###.....##...####.#.#.#.##.##...###.#.#.#
#.....#.#....#######...####.####.###.#.###..##.#.##..##.#.###...##..............#.##......#.##.#..##.#####.#.#.##.###...#.#..#.#....#..#.#.###.....................#.#.#...###.....#.###.....###...#.#.##.#####...#.#.....#.##.#####.##.#.##.#####.#.#....####.###.##.####..##.#.#######.#.##.###.#.##########.##.#.....###.........##...###...##..........#.####...##...##.##.##########.#...........###.##.##.#.#...##.#.###.#.########.#.###.##.#..........#######..#.#..########....#..#.#.##.##........#####...#.#.#.........####........##.##....#.....##....###.#.#....##.#####.##..#.###.###..#..##.####.#..#......#####.......#......#.......#.####.##..#..#.####.##.###.#.#####.#.#.#..###..##..#.#..##.#..###.#####..#####.##.#......#######.#####.#.#..#.#.####.#.##.#.#.#...###.###..####.#.#.#.#....####...#.#...#
#####...#.#.##...#...###.#..##.......#########.############.##################.##########.#.#..##..........#.#.#######.##...##.#######.....#.#############.#######.#.#...#########.#.....###.#####..............#########.###..#.#...#..######.#...####.###.........#.###..##....#.#...........##.#.#####.........##.#.###..#######.####.....###############.##.###..###..#..#####.#.##...##.####.##.#########......#.#..###......###.########.......######.#.#.......#######.#.#.###.#.##.###.##....###.##.##.#..#.#.###########.#######.###.##.#####...###....##...###.####.#.........####.######..##.######...##.##.#.#############.##.#.#...#.##.##.##...##.###.#.#.....####.......#........##.#.##..##.##.##.#.##.#..#....##.#.#......##.#.##......#.........##.#.#..#.#.##.#.####.##...####.###..#.#.#...####.##.###.#.###
#.####.######..#...#####.#.##..###.####..........##.##.#....#....##.#.#........#.#.##.....####.####.#.##.#.#.###.......####.#..###...###.#.................###.......###.##...#.#..##.#.##.....##..#.#.#.##.##.###.#.###...#..##.###.#.###.#.....####...####.#.#.##.....##....##.#.##.########.#....#.#.###.#.#.#..#####.####........#.############...##..#..##..##.##.##.##.##.#.....##########..########.#######.#####.#...##.#.#.....##...##.##.###......######.##.#..##.#.........###..###########...#.......##.####.##.##.......##.#.#...#........#######.###.###...##.....###.###...####.#....######.##..#.#..########...#.#.##...###.##.##.#..##.##.#..#.#.#.#.####.###.#######...######.##...###..#.#..#....##.##.###.##..#.##.##.#####.######.######.#.#..#.#.##........#.##....#.###.##...##.#.#...###.##.##.........#
#........#..#.###.###.......##..##.##...#.#.#.#.###.#....##.####.#......#.#.#.##......#.#.#..#..#...###..###.#########.#.##.##.#.###.....########.##.##.####...#.###.#.#.####.....###########.####.###.####.#..#.....#...#.#.###.....#.##..########.###.#....##########.###.####...######...##.####.#....########.######.########.##........##.##.###..##.##..##.##.#.....#.....#####..#.##.##.####.#.###............#.##########.#####..###..####.#...#.#.####....#....##....#.##.#.##...##...........#.#.##.##..#.#..........##.####..#####.####.#.#.#.......#.#.#####.#####.#######..###.#..###.##.........####.##.#.#..#.#.....####.....##.##.##.#####.#.####.#.#.#....##...##########...##..###.#.##.#.##.###.##..##.##...##....######.##....##.###.#########.....#####.#.#....####.#.#.#.#..###..#.###.#.#.#..##.#.#######
#.#.#.##...########...###.#.##.###.#..#.#.#.######..#######.##.#.####.#.###.#########.######.##...######.##..#...................#######.##.#.#############..#####........#.####.###.#.#.#..#..#.########...##.#####.#####.#.#.#####.#..##.##.#.#....######.###.#.###.#.#.####.###..###.###......##.####...#.#.##..#.#.........#...########.#..#..##..##..###.#..##.#####.#####.#.####.#.##....#....#..#..#######.#.##...##.........#.##.#.##.##...#######.#....####.#######.############..#############.#.#..#..###############...####..#....##.###############.....##...#.####...#...##.#.##.#.#######.#.##.#.#####...##...#####......#.#.##.##.#..#.....######...####.#.##.#............#....##...#.##.#.#..#....##.#...##.##..#####.##..#..##.##..#..#.......##.##.#.##..#.####......#.......#####.#.##..#.#.#.###.#########
##########..##.#.#..#..##.#.#..#...##.###.#.#..#.##..##.#.#.##....#.#########.........#.........###.......##############.#.#####.#.#.....#..........#.......####...#.#.##...#.#......#.#.##.#.##..##..##..#..###.#.#..#.#.......##.#.#.##.......####...#....##....#...#.#.##....##.##.#.#.######.##....#.#........##.#########.#####....#.#.##.##.###.###.#.#.#.###.#..##..###..#.#.......####.####.##...########.#..##.##..#######..............#.#####...####.#.......#.##..###.#.#.....##....#.#.##...#.#####...#.########.####.#.###.####.##...##.#.#.##.##..#.#..###.....####.###............#.#..########...#.###....#.#.....#.####.#.##.#..########.##.#.#.#.#....#######.#.##.#.##.####.####.#.##.#.##.####.##...###..###..#.#...##...##..###.##.#######..###....##.############.##.######..##....##.#.#.#.#.#...#.....#
#......####..#.#.#####.##.###.##.######...#.##....##...........##...........###.#################...#######.#.##.........#.##.##.#.##.#######.#.###...##.#.###.##########.#.....####.#.#.......##..##.#####.###....##...######.##.........#.###.##.###.##.#######.###.....##.##.......#.#.#.####.#####.####.#.#.#.##.##...###........##...#.##..#.................#.##.###.#.##.#.######.###....#......###........#.##.....##.......##.#.####.##.#.#...#####....##.#.#.##....##.......#.#.#..##........#.#.#.....###..................##.##....#.###.........########.#.#####.#.#..#.####.#######.#.#.######..###....#..#.##.#####.###....#..#.####.#...#..#..#.#######.##.....##########..##..........#....##.##.#..###.#.##..###.#.###.####.###.#.#....#.#.####.#...##.####.....###....##..#.....##..####............###.#.###
######.#.#..##.#.####..#..#...#..##..#########.##....#####.##.##..##.#.##.#########.##..#.#.......####.........####.####.#.#.......######.##..###...####.#.##..#.##.##....#.#.#.####.#.######.##..##..#..#####..##..###.##.##..######.#.#.####..........####..........#.#....#..#.###..............###.##...#####.....###.#.##########..#....##.#####.#.#.#.#.#.#...##.#......#.#.#.###..#.####.#########..#.####.#.###.#.####.##.#.####.##...##.#####.####..#.##..#.###..##.#..#####.#.########.#.#.#####.##.#.##.#####.####.##.###.##...#.##....#..#.#.#.#....................##....########.#....#..#.#.#.##.####.###########.....####.##.######.###.#####...##..########.#....##.#.##########.####.##.#..#.##...##.#.#.#..##.#.#.#.#.#.####.#.#.####...#.#......#.##.#.######.#.####..##.#.#######.##...##.###########.###.#
###.#..#.##....#.#..#####.#.#.##..##.#.####....###.############..########..##.##....###.....#.###.##.########.##..####...#####.###...#.......###..#.#....#.###.........##.###.#.#...........#.#..####.#.##.#.######.###.#..###.#.#.##.######.##########..#.####.#.########.#.####.#...#.#########.##......#.#..#..###.#.#.#..##.#.###..###.#....##.#..###.#########.##.######...#.#...##.#.#.##.##....##..####....###...#.#....##.#.#.######.#######........##.###.#...####################...######.##.##########.#.##..#.....###....##.########...##.#.#.#.##################.#####...##.......##.#.##...#.##.#........#.###.##.#.##....##.###........####..#....##..#..#######.......#.#.#.#####.....####....#.#..#.....#.##.............##......##.###.#.###.#.####......#........#..###.#......##..##.###.###...###...##..#
#...##....#.####.##..######.#..####.......##.#.#...##.....#.######..#.#...###.#####.#.#########.###............##.##.######.#####..#.#########.####.#.####.#.####.####.##.#...######.#.####...#.##.##.#..#...##..##...#.##..........####.#...##.###...##.#.##.######.#####################.###.......######.##...##.....#.##.#..#.#.####.######.#....###..#.........#..##.##..#...###.##.#.#.#...####....##....########.#.##.#.##.###......#.#.##....#.##.#.#..#...#.#..##...........#.##.###.#.#.####...##.#...........###.########.##...###.#.###.##.#.#.####.##..##.##.##.....##.###.####.##.##.....###...##.########.#.#......#..###.#####.####.#.#......##.##..##...##.#.#########.#.#.#.#.##..###..#.####.####.#####.#.###.########.#########........#.#.#############.##.#.###...##.#...######..#####.....#.###.###..##.#
###..##.#....##...##...#.##############.#.#############.#.#.#.#.###.#.###.#.#.#.##.....###.#.#...#############.........##....###..##.....#.###.########.####.#....##...#..###.#......#.######.#.##.##.##.###.###....#......######.####...###.#..#.###.##.#.##..#.##...#.#.#......#.##........###.#.############.#######.#.##.##...#.###...##....###.##...######.###.##.##.#######........#...##.##....#.######.#........#.####.#..###.##.#.....###.#.#.#..#.##.##.##.#.####.######.#................####.#..####.#.###########.......###.##.#.#.#....#####.#.....##.......######.#......#.###########.##.#.#.....##.##.#...###.#.##.##...##.....#####.#############..###..#.#...#.###............####.##......#.##.#.#.##..#...#.###.......##.##..##.#.###...#.##.#.#..###.#.#######..#.##.#.###..##..##...#.###.#...#.#.##.##.#
###.########..##.#####...#.#............#..##.#.#.##....#.......#......##.#.#.#..####.##.......#...##.###...###.#.##.#.####.##...#######................#.##.####..##.###########.#.####..............##.#.#.#.###.##.#.#.##.#.#...#.##.##.#.##............#..##....#.....#.####....####.#.#.....#####.....#.####.#.#.....##.####.......#..##.#......#####.######.........#.######.#####...#.......##.#.##.....##.###.#.#.#....##.#...####.###...#######.##.#..##########.####.....##.#########.#.#......##.#.######.#.#.#.#.#######........#.#.##.####.#######.#########.#..###.######.#.#.#.##.......#.#.###.#.....#.###.#...#.#...###..###.#....######.........##.#.##.#.###...#.############.#.#.....####..........###...#.###.#######.##..##.######.###.#.#..#.##.......#.#.#.####..#.#.#...####..##.#####..#.###.#.##.#..#
#....#.##....###..#.##.###.#.###.##.#.###.##..#....############.##.#.#..........##....#####.#.###.##....###.....######......######.#.#########.##.#.###.#.#.......###.##..........#.#.###.#.#.#.#.###.#..#.#.#.######.#####..#.###...##.#.....####.#######.##..####.##.##....##..##...##.#.########....##.##.#........#.#.........#.###.##..#.#####.##.........###.#.#.##.....#.####.....#.#####.#..#########.#######.#.######.##.#####.#....##.####......####.#......#.#.##.#####..###.........###.#.##......#.#..............##....######...#.##.##....##.#....#........##...................#######...#.#########.....#...#.#.###.####...######...##.#########.........#.#.###....#.#.##.##.......######.#.##.####.##.##.#####...#.##....#.###.#.#.##.......##.#.###.####.#......####.#.....###.##.##..#.#.##.#............##
####....####.#.##.#.....##.####..######....##.####..#.##........##########.####.#####.#...######...##.######.######.#..#.##...###..............#..####......#.#.#.##...##############.#.###########.#.##.#...#.#.##.########.....##.##....##.##.#####......###.#.##########.######..#..######.###.#######.##.######.#######.###.#.#########...#.....###.##.#.#.....#.#.#..#.#.....####.#.#.#.....####..#.#....##......#..##.....###.......##..#.#....##.####...####.#...#.#....###.######.#.###..####.#..####.#.##.#.#########.#..#.##......#....###..##.##...##.#####.##..###.##.############.##......#####.##.#.######.#######..####.#######.#####.....###.#....#.#.###.....#.####.........#####.#.#........####.....#.#..#.##..#....##.#.#.#.#........###.###..#.#.#.#......###.##..#.###.###.#.##..##.#.#.##.#.#############
#.####.##.......#.####.##...#.####.#.#####.....####......#.####.#.#.#......##......##.###.##.#.###....#.#.#..#........######.##.####.####.##.#.##.##.####.#.#############.##.##.......#....#.#.#.#.....#.###.....##..##.#.######.#..########......#.#.####...............####..#######.##.....#....##.#.#.##........##....###...#.##......#####.#.###.############.###.##.####.##......#.#####.#..####.#.##.#.#..####.#.######.######.#.#.##.#######.##.#....#.########.#.####.#.###......########.#####.#......######...........####..#.#.###.#########.######...#.######.########....#....#..###.###..#.#.......#.#.........#####.#....##.#..#.....##.##.....##############.#.#....####.##..#########.#.#.###.######...#.##..####.#######.#.#.#######.##....###.....###########...##...#.#..#..#.##.##..#.#.#....##....#####.#
#...#...#######.#.#.#..####.#.#.#......#######......#.#.##.#..........#.######.###.#.........#.####.#.#.#.##.#.##.#.#.##......#.##.#.#....##.#.####.......#.######.#......#.....#####.####.........###...#.#####..#.##.............##.#.###..##.#.....#....#.####.##.###...###..........###.#...##.........###.##########.##..#.#..##.###....####.#....#.##.#......##..#....#####.####.###.....##.#.........#.####....###......#....#####..###...#...#..#.##.###..#..##.#.##.#.#..######.##.........##.########.#.#.######.#.##.###...######.....#.#.#.#.#.#.####...#.##.#.#..##.#####.####.##.#.######.#.#######.#.##.###.####.##..####....##.#######.....##.####.#..............#.#########.....#..#########...##....#....##.####.#.##.#..#.#.#.#.#...###.#.....###.##.#.####.###..##.##.#.##.##.##..##...#.##.###..####...#.#
###...#.............##..##..#.#.####.#.......##################.#.#######...#####....##.##.#........#.#...###################........#.#.#######.#..#.##.####.#.#..###.##...##.###......#..#.#.#.#.##..#...##.###...##.##.#.#.#.##..........##..##.#.##.##.#..##..##.###.###.####.#.#.#..#################.#.#.#.............####.#####.####...#######......#.##.#..##.###.##.....##.....####.##..##.##.#######....#.#######.#.#.##.##.#########.######.#########.##.............##.#.#############.##..#.#..........#######.#....###..##.####.###.#.#.#.....#..#.#........##.##..##.....##.##...##.....#.#.#.#...#..#.#.....##.#..##.##.##.#...##.##..#.#.##.#......##.#.######.#####........###.#.##.#...#.###.####.##.##..#.#..#....#.##...........#.#.#########.#.##...#.....###.#.......##..#..#.#####.#..#..##.#######.#.#
#.##.#####.#.#.####..#.####.....##.#########..######.#..##...######....####.......#.##..#..##.####.##.##.##.#.#.#..####..######.##.########.#.#....##..###.##.#.##.#.#####.#####.####.#...##.#######..##.#.....###.################.#.#.#.#.###.##.###..##.##.###..###.#.##..#.#########..##.######........#.####.##########..######.#...#####.#.##....####.##############..####.###.#.###....##.##..##.####.####.####.......#.###.........#.##....######...##.....#.##########.##....#.#..#.#.#....###.#...##.##.##.....######.###.####.................###.##.##########.....##.#..#.#....###.#######.#.#...#.#...######.###..##.##..###..###....#..##.#..#####.##.#..#####....#.#.########.#.....##.###.#...#.#.########.##.##.####.#..#######.##.####.##....##.....###.#####...#...####.##..##.##.##.#..##.#.##..##..#.#...#
#.####.#.########.##...#.######.##..##...#.##.#........##..#....######..##..###.#.###..##########..#......#...#.##..#.##.....############.#.....#.###.##..............#######.##.#.#####.######.#.############......#.#.##.#.#.#..#####.#.###...####...##...###...###.....##...#.........##.....##..##.###....#.######.########.###..##.##........#######....##..##.#.##...####..##..#..##.##.#...##.#..#.....#.###.#..#.#.###.##..#.#.#.#......##.#.#.####..####.####.#.#..#....###.##.##.......##..#....############.#......###.#......#####.#.#.#.#.#.#....#..##.###.#..###......####.##......##.#.....###.#####..##..#...##.##..##...##.#.####.###########.##.#..#.##...###.##...##.#.....#.#.#....#.#.###...#...#.##...#..##.####.##.#.....######.#...####.#..#.#......##.###...###....###.##.#...#.##.......##.##.##.#.###
#.#......##.#.#......###..##..#..##..###....#...######..######.##....##..##...##########..........#####.#...#....##.#..##.##.#.#.###.#.#..#.###.###.#.#####.####.##.#..##.#........#.#.###.#.......#.##........#.##............##..#.#..#..##.#..###############.##...#.#..###.#########.######....##..#...##....#.........####.#.##.....########..##...####.#..##.......#.##.####..##.##...#####..#.##.#.#.#.......############..######.##.#.#.#.......####.#.#...##....##.###.##.#.......#.##.####...####..###.#.#.###.####.###.########.....#######.#.##.#...##........##...#.##.##...##.####.#....###.##..##....####.#.####.#..####.##..#.###..###............##.#.####.#...####......##.#########.....#.###.###...####.#.###.#.........#.####..##.##.###.....#####.###......##########..##......###.######.####..#..#.....#
#.###.##........####..###..##.##.###.#.####.###.##.....####.....####.##.##..####......#..##.##.####.....###.###.##..##.####............##.########....#.....####..####..#.###.##.#......##.#######....####.#####.##.#.##.#####..##.....##.##..#.##.#####.##....###########.##...#.##.....#.##...#############.##.#########...........###..........#####...##.##.#..###.#.#.#.......##########.....############.####...#.#....######.#.#########.######.##........#....##.#......#..##.######.#####.##.######..........##.#.............##..#.#.##......######.#....####.###..#.#..###########......##.#....##.#####.#.##.#.#.#..##.####.###.#.#.##.#.####.#####.###..#.#.#....#..##..#########.#.#.#.#####.#.##..#####..#.....##..####.#.##.#...#..###.##...#############.###.##.##.#..##...######.###.#...##.#......##.##.#####
#.#.#####.##.##.##...##.#.##...#..##.#.#.#...##.######.##.#####.##.#.#..##.####..#.##.####..####....#.#...###....#.###.#.#..##########.##.##..##...#.##.#.#.#....###...##.#.###########.##.#.#.....##......#.....#..#######..##..####.##...#######.#...#....##.##......#.#.####.#.#..###.#....#####..####.#.####...##.####.#.#.#.#####...#.#.####..#.####.....#...##...###########..##..###.##.#.##.##.#.#.....##...#.....##.#.##......##....#..##.....##############.#....#.##...#####.#.####.##.....##..#########.#....####.##.#.#.#....##.#.##.#.#.###.....##.#.#....######.#.##.........###.####..#.##.....#..#.#......#.##.....##...#..#.#....#..######.###########.####.#.######...#.##.........#......###....###...#.#..##.#..#.########.##.....####.##..##.#.#.#...####.......#####..##.#...#..#.###....######.........#
#...##.#############.##...####.#.###.#.....######.##........###.#..#.##..#.##...##.#.....#.##.################.#.......#.#####.##.###...#.###.#..###.#########.#.#...#.##.#.##.#........##.....#.#.#..#.##.#.##.######.##.##....#####.######.........#...#.###....####......#.#...####...#.#.###..##.#.#.....#.###.........#.#.###.....###########.#.#.#..#.#...#.#..###..#........####......######..#.#.####.#####.#.######.#.#####.#..####...####.##..#...#.###.#...#.##.#..###.##.#..#..##...#####..##...........##.####...#..#.#.##.######.##.######..############.##.##...#####.#####.##...##########.###.##...#.#.##.#.###.##.####.##.#.####...##.##.....##..##.#.......###......#...#######.##.####.#.....##.....#.#.##..#.##.####.##.#...##.##.#..#.###..........#...#..#.#.#..##.#.###.###...##...#.####..#.##.##.###.#
#.#..#.#.#.#...##.....###..##..#.#.#.#####..##.#...#####.##...#.##....#.#######.######.######..##.##.#.#.......##.##.#...#.##.......#.#...#...#.###..#.#.#.#.#######.#....#.#..###.####..#.#.########.###..####.##...#.#.....##..#..#..####..#######.#####.#...########.###.....#..##..#...####..##......###.......####.##.#.#.##########.#.#............##.#.#.####...##...##.#####.##.####..##..##.#.#.#.#############.##....#.#.####..#.##.##.######...#.#.#.#...#.#.#..#.##......##.##.####..###..####.##.#.#.#.####....####.###.####......#..#......##.######..##.##.##############...#..#.#..........#....###.#####......####.#.#........#####.#..#####.####.#..###.#.#..###########......####.......##.#.####.#.##.#.###.......#.#....###..####.##....###############...##.####..#....#...#..####.#....####.#.....#######
#.##.....#.###.#####.#####..##...#.#..##.#.###...#.#.######.#....####.#.#.###.#..###.....##.##.#.........###############.#..###.###...###.###.####..##.....#.##.#.#####.#...##.#...##.#.#######.#.#.#...#####...##.#.....#.#####.##.####..####..########...#######......#...#.#.##....######..##.##########..#.#.#.#.....###.#.#..#..##.....#####.####.#..#####.##...#.###.#####......####.##..##.#.........##.##.#####.....##.#.....###.#.#####.#.#.#..###.....#.#.###.##.#.#..##.#..#.##.#.#..##.##.#.....#########.#####.#.....####.####.##########.###....##.##....#..#.#.##.##.#..###...##.##########.####.##...#.###.#.####.......######.#.#.#.##.#.#....##..##...######.#....#.#..##.###..#...##.##..#.#....###.##.#.#.##.#.##.#.####..#..####...###.##.###...........#..#.#####.####.###.##.##.####.###.#....###.###.###
#..##.##.#.#...#.....#..###.####...##.#....#.##.##...#.##...##.#......#.#..#..####.###.####.##...######.####..#............##.###...#####.###.##...##..###..........#.#####.##.#####.....##.#...#.#.#.###.##..#.##############.#.#...####..##..##...##.#########.#.########.#.#..######.#####.#...##.#.##.#############.####.#.##.##....#.#.#.########.#.###.##..###.#.#...#.....##.####...##.##....######.###.##.#.#...######.####.##.#.#.#.##......##.#...###...###...#..#.##.#####......#.##.#..##########...............##.#.##.#.......###....#...##..##.##....##.##.#.......#.##.##..#.##.#..........#.......#.....#.#####..#.###.#...............#.###.###.##..#.##.########.#.##.#######...#.#..###.####.#####.######.##.#.##...#.###.##....###.#........##########.###.###.#.#.##...###.....#.##.#.#.....########.#...#
#.##..##...###.#####.#.##.#...##.###..####.#.####..#....#########.###.#.##.##.##...##..#.#...###.#..######.##...##.#.#####.....#..#.#............#..#########.#####......#......###..###.##...#...#.###.#.#..####.#.##.##.#....#.#.###..##.###..###.#.....##.....###.###.#########............###.........#.#.#.#.#.....##.#####.....######............####.....##...########.#####.##.###.##.#######...............######.#..................######..#######...#...##.##########.#####.##.#.#..##...##.#.#####.#.#.##.#########.#....#.#.###.####...#.#..##.....##..###....##.##.........##..#.#.#.#.##.#.#.#.##.###.##....##.#####################.##.#.###.##...####.#...#.#.#..........#.....#.#.#.##.###.....##....#####.#..###..#........####.......###.##..#.#.#......##.##.........#...####.##.#......#.#..###..##.#.###
#.###..###.##...#......#..###.#......##....#..#######.#.#.###.#.###.........#..###..##.#.##.##.####.#.###.....###..###.#####.#...#####.#.#.#.#.#.#.##.........##....####.######.#.#####..####.###.#.##..#.####.##.......#.####.....#.##.##.#...##.....###....###..#........#..##.#######.##.#.....#.#.###.#.......###.#.#...#.#..#.####..#..#######.#.##..#####.##.#..#.###.#####...##.#.#.##.#....######.##.#.##.#..##......##.#############....####....#.###.##.######...##.#....#....#....##.##.####.#...#.###.#.####.........#.########...##...#.######..##.####.##..##.##.##.#.##.##.#..###########.##########...###.####.#.#.##..#.##..........#........####........#.....##.#.###.#...#.#.#.###.#...##.#.#.##.#.##.#.#...##...########.##.###.##.####..###.....###.#.#####..#####.#####.#.##..#.#.#########.#.#.##....#.#
###.####....###.###.##...##.#.######..####.##.#..##.###.#.......######.#.##...##.##.#.......##..#.#...#.##.##########........#.#.##..#.###.#.#########.#.########.####...#.#........#.##...####.....###.#..###..#.#.#.#...#.#..###.#.#..#..##.#########...#.#####.#####.#.##.##...##..##########.##.###.#.#######.....#.#.#.....#####.##.####.##....#####........#.#.##...#.......#......#..#.####.#.#....##.###..##....#.##.#..##............##.#.#####........#.#.#.###.##..####...##.####.....#.#.#..###...#####.#....#.####.######.#.##.#....#.#.##.######..##.#.#..###.##.##.####.##.##..##.#.#.#.####.#.#.#####.#......#......#.##.#..#.##.##.##.##.#.#......####.####.##....########.##.#.#.###.#.#....###..#####......#..###.#.##..........####..##..##.###.#.....####.######....#........##.#........######......####.#
#........##.........##.#..........###.##.#.#..#.###..#..#####.#.#.#....######.##....##.#.##....##.###....###..........#.##.#.#.#####.#####.####.#.##.#####.####.###....#...####.###...####.#.######.#.#.##.#.##.#########.#.####...#.##.#.##...#.#...#..#.####........###.##.####....##...##.##..##.#.............#.#.#.#.#.#.#.#................##..##...#.#.#.##.#.####.#####.########.##...#.#......##.##.##..####.#.#.##.##..######.#.##.##..........#.##.#.#.#........##....##########..###.....##.#.###...##..##############..........##.#.#####.........##....##.#...##.#..##...##.#..##.......................#.##.#...##.#........#####.#..#..#..#.##.#.#.##...#....###.#.#...#############...#.##.####..###.##.####.#####..#....#.#.####..##..#######.###.##.##.#..#.#..##..####.##.#.#......########.#.#..######....#
#####.##.#..#.#.##.#####.####.#.#.#.#.#..#.##.#...##.##.#.#####.#.#######........##..#########.##.######.####.#######.####.#.###...........###.....#..#.#.....#.###.##.#.#..#.#####.#....#.#..##.........#.#.##..#.#.#.#.........#...........###.###...#####.###.#.##......#.#.#####.####.#...##########.##.#.##.##.###.#.#.#########.#.###.##.#..##..###.#.###.####.#..........##..........#.#.#.#.##.##.####..##.#..#####..#..####....#.#..#..#.#.#.####..############.#.#####.##.#.###.#######.##.#....#.###.######.###....##.#####.####.##.#.#..########.#..##.#.#####.###########.##.#######.#.#.#.#.#.##.#.##.#.###..#.#..#.###.###.##.....#.########.#..#.######.##.###.#######.#.#....##.....#.###..##...##......##...#.....##.#.##.######.##..##.##......#.########.#.#.##..##..######.##.#.#..#.#...#.#.#.##.#.###.###
#.....#######.#.#..##....##.#####.#.#.##.#.##.##.##.......#.#...#.#...#.###.#.#.####.##.#.#.....#.#.#.##.#.####.#.#####....#############.#.#.#####.##.....##.##.#.#########...###.####.#...#.##..#.#.###......##.#...#...##.#.#.####.#.##.##......###.##.##....#########.#.....#......##..###.#.##.#.#...######..##...##########.#.####...#.########.##...###.....##.###.##.#.#.###.#.#######.....#..###..#.#..###.######...#####....#.##.##.##########....##..#..##.#####..##......#.#........#..##...##........#.#.#.#.####.#......####...##.#.##...##.....##..#####.....#.#.........##.##......#.############.#..###...#####.###...#...##.##.####.###....#.######.#######......#.##.#.###.#######.###...###.#..###.#.##..#.###.#.##.######.........##.....####.###.##..........#####.##...#..#######.....###.#.#..#...#.....#
##.#.##...#...#.##.####.##...#.#...........##..#.########.#.###.#.###.......#.###.#.......###.#...#.#.##.#..##.......####.##........##.#####..##....#####.#...#.#..#.#....###.....##.###.#......########.#.##..#.###.###..#######.#..#..####.######.####..####.##.#.#....#.#.#...##.#..##.##..#.##.....#.#......###.####.####.#....#.########.#......###.#####.#.##############.#...#.#.......##.###.#...##...##..........####....##.###########.#.#.#####..##...##.....###....##.#.....#.#.##...####.#####.##.#............#.######.##...#.##.######....##.##..###.#####.##.####.####.##..######.#####..........##.##..#.#.....##..#.##.########.#......#.####.......###########.#............##.########.##..#.##...#..##.#.########.##.....##.#.#.#########.....#...####.#.#.#..##....###.####.#.#.#.#.###.......##.###.#####
####.#..#...#.#.####.....###.....####.##.#..##.#.#.#.##.#.#.#.........#.##.##.#...###.#.#.....#.#......#.#.##..#####.......########....##.###..####.#.#.#####.#.##.#.####.#######........##.#.#.#........#####.#.#.#.....##.......##.#.##..#.#.##...##.##.#..#.##...##.#.#.#####.#..##.....##...##########.##.####..##....#.#.####...#.###.#....##.#.#...##....#.##.......##....##.######.##.###...#######..#.#####.##.#.####..##.#..#.....#...#.........#######.#..#.#.....#######.#.#.#######.####..##.#..##.##.###.#.#.#....####..#..#.#.##.#......#.##...##.##.....##.##......#....#####.##...##....###.###.##..#..####.##.###.########...###.##.##.########.#.##...##..#.###.###.#.####.###...........#..#######.#.##..#.#........#..#.######.#.#.##...##.#.#...###.#..#.####....##.#.#...##...#...#######.#####..........#
#....#.##.#.#.#.#....#.######.#.##....#..##........#.#........#.#.#.###.#...#####.#.#.#.##.#.##.#.####...#.#..##.....##.#.##....#.##.#....#.#.##......#.##.##.#.#.....#......#....#########.#.#######.##.#.........#####..##.##.#....#..##......##.###.#..##.#..###.####.###..#..##..##.##....#.....##......###....######..........#.........#######.#.#.#..#.##..#######.#..#########.....####..#.##.#....##.#.....#..#.#..#####.##.#####.###.#######.#...........#######.##.......#.####.##.#..##..###.#.##...####..#.#.##.#....##...##.####################...###.#.....###.#.##.#.##......#####..#.##...#...##.###.##...#..##..##.....###.#......#..#...#.#########.###.#.#.#.##..#.#........#.###.###.##.#.##.########.####.#.##########...####...####..#######.##....#####.##.#.#..#.##.##..#...#..##.#.#..##.##.#######.#
#############.###.#.####.#....#..###.###.######.##.....####.#######.##..#.#.##.##.....#.#..#.#..###....#.....####.#.##..#####.#......##.#......###.##......#....#####...#.##.###.##.........#.##...##..#####.##.##.......#########.#.##########..#.#.#.##.#....##.#.#.#######...##..##..###.#.##.##....#.#.##...##....##..#######.######.###.#.......#####.##.#####..####.#######.#.#..##.##....##.#....##.#..###.#.#.#####.###.########.#.###.........#########.###...#######.########.....#...######......##.##....#######.####.#..#.######..................#.#...##.#.##...############.#..#.#..##.###.###.#####.#..##.###.##.#######.#.#...##.#.##.###.#.#.#.##....#.#.#........##.###.##.#.#.#...##..####.##.#.#.#.#####.###.####.#.....#......###....########.####.###.......#.##.........###.###..#.#.##.##.##....#.####
#...#.##.#....########.....#.###..#####..#......####.#.#....#........##.###.#.....########.#.##..###.#.#.###..##..#.###.###.#####.#.##########..####..#.##...##..##.#######......#..#.#.##.##..###.#..##...#.#..#..###.#..##...#.#.#.##..#......##.#.#.#..####......#.#.##.############..##.#..###..##.#######.####.#####.##......#.##...#####.#.#####.....##.#..###......#.##....#.##.#..####.########.##.#.##...###.#..........##.##.........#.#.##.####....#..##..#......####.#.#.######.#.###...####.#####.###.###.#.#.#####....##.#.##.############.#.#.#.####.###.##########.#.##.....##.....#####.###...#..#....######...#.#..#.##.#.##.###.#######......#.#####.......#.#.##.##.##..##.#.#.###.###..###..........#......#..#......######.#####.####.##.#.#..........###.###.#####.###.####....##.##............##...#.##
###....#.###.##.##...#####.###.####.#...#########.####.##.#.##.#.#.#..################.##..#..##..########...########.###.#.###...####......###..##########.####.#...###.#..#.#.##.##.#.#..##.####...#####...##.##.#...#.##..#.....#..##...##.#......#.##.#....####......#..##.#.#.##...##..######.##....##..#.##...##..####.####.#....#.#.....####.#..#.#.#..#.##.###.##...#####....#.##.#.##....##....#..#.##.#.###.###.#.##.#....#..#####.##########....##.#.##..####.##.#.#.......##........###.#.#..###.###...##....#.###.###.#####....##.#.##.#....#.###########..#..#####........##.#####.#.#..##.########...##..##....#.####.........####..#...#.######....#..##.#.#.#######..#.###.##.###.##...###.#...#.######.######...##.#.#.##....####....#..#.#..#.##.##.###.###..#...##....##..#....#.##.....##.#.#.###..###....#
####.#...#####...###.##....##.........###......##......#..#.#..#.###.####.................#########.#.########.###.##..#........#.##...#.##.....##.#.#.##.#.#......#.......##.#.##########..####...#.##.##.#######.##.##.##.##.##################.##....#.###.##....#.##...##.......##.####.#.......####.###...#######.###.###.##.#.#.##.####.##....###########.#...#######.#.####.#...#..#....#.##..#.###.#..#####...###.#..####.#...##.....#..#.#.########..#############.....#.##.##..##.#.###.......##...##..#..##.#...........#..#####.##...##...######.....#.#.#####.#.....###.##.#..##....####..#.#.####...#.###..##.#.###..##.#.##.#......####........####.##.########.###.#.##..####..#....###..####.#.########.#......#.#..#.#######.##.####.##.#.##.#.....#.#...#...####.#####.##.##.##.#..##.#.##..#.#..###...###.##
#.######.#..###.##.#.#..#.##..#.#####...####.#..##.#.####.####.#..####..######.#.##.#.##.##.......#.#..#.#.....#...###.#.##.###.#.#..#.########.##.#......#######.#######.###.###.##.#.#.#.###.#####.#.....##......#..##.########.....#.#.##.##....####.......#####.#.##.#....#.#.#.....#.###########.#..#...#.#...#...##.........#.#######....####..####.####..###..##.#.#.#......###.#.#####.###..####.#.#####....#.#...#.##....#.######.####.......#.#.###.##..##.#......#######.....#####...#######..###....###.#..##.#.##.##.###..........#....###......###.#.#.........###.##..#..#.#########.##.#...#..###.#...#####.######.#..#.#..#.##.#..########.#..........##.#.#...#.....####....##.#.##...##.#######.........#########.#.#.........................##.##.###.##.##.####.##..#...####.##.#..#..#######...##.###..##
#.#......##.....##.#...##.#######.....###....##....####.###....#.##.###.....#######.#.#...#.#.###...##.#.#####.###.#.#.#######..########...........####.#...##.##.#.......##..#............##........##.##..###.##.##.#..#........#.#.........###.##....#.#.#.#.....#.##.##.#.#.###.##.##.............########.#.#...#..#######.#.#.#.....##.####.##.#.#...#.##.#.##..#.....########...###.....######.##.######..##.###.###.###.#.###......##########.#........#.##..####.#.##......##.##.#...####......##...#.##.######..#########.###.##.#.#.#.#.###########...#.####.######...##########.#.......#....#.##.##########.#..#........##.#.########.#........###.##.#.#........#...#.####.###.###.###..#.##.#.#.##..##########....#.###.######.####.#####.###.#.#.#..####...##.##......#..###.##.....#######....##.###.####.##..#
#.######.######......#.##.#.##.#..###..###.#.##.##..##......#.####....####.##.......###.#######.###.......###...........##.#.########.#..####.####.##.####.##...#.#####.#..##.#.####.#.##.#######.##.##.##.##...#..##.###########.#.##.##.#.#......####.########.##.#.#..#..#.###...#...########.#.##...##..###########....##...#######.#....#..#.#....###.#.......##...#.#.....###..#...#####...##......###....##...#####..#...#.#...#.####.#.#........#.#.##....##......#####.#########.##.##....#.#.#########.....######...#.#.....####.#.#######.........###......############.###.#.#..#######...#.##....#.##.#.#.#.###########.#######...#.#####.#.##.##..##.#########.###.##.##.......##..##..##.##......#####.......####....####.##.####...#.....##..#.#.##..#####.##.####.##...########.#.##.......####...##.......##.#
#.###.##...#.#####.#.#.#..#....##.#...##.###.#..##.#####.#.####.#####......##########....#.##...#####.##.##.###.###.###......#.##.#...####.####.......##......#...#.....##..###.#....####..##.....##.#...######.##..#####.#.......#########.##.##.##....##.......##.#######.###...####.##........######.###.#..##.#.#.####..#####..#######.####.#.###.##...#####.#.#..###.#.#.#...########.....#..######.#.##.#####.##.#.################......###.##.#.#.#..##.#....#.#.####.#######........##.##.#.#.##..##.######.#.#.####...####.##....####.#..########.##.######.##.......#...........##.###...#######.#........#...#.#.###.#.###.#.#.###.#.##.#############..#.......########..###.##.####..####...##.###.......##.##...##.##..##.....##.#######.#..##.#######...###.####....#..#..##......##########....#.###..#######..#
#........#...#.#...###.##.##.#....#.#.##.....#####.##.##.#.##....#.#######..#..####...#.##....#.......##........#...#...##.#....#.###..##.......#.#.#.###.#.###.#.#####.###.###.#.#.###...#####.#.#####.##......##.####...##.##.#####.#.#....###..##.##.######.###..##.##.#...#################.###...........##...........##.####..#......##..........###.##.##.######...#.#####.#.#.##.#####.#.##........#####..####.#.#.#.#.#.#.##..###.###.....#..#.#.##.#####.#.######.#.#.......##.#.#.##.#..#######.#...###.........####.#.##.#########....##.##.........###.#.########.#######.#.#....#.######.#.##.#.######.#.#...#.#......##.#....#.....#..##......##...###.###.##..#.....###...###.#####..##.#####...############.#######.######.......#.##.####..##......#.#....####.####.##..###.##.##...#.....##.....##......###.#
##.#.###.###.#.###...#########.#.########.#.##.....#.....#.#####........###.##......#.#..##.####.#.#.####.#.#######.#.#.#..####.#.####....#.#########.....###...#.#......####.#######...#..##...###.#...##.##.#.#..##...#.########..#...###.##...######.#......###.##..##...#.##....#.#.#.#.#####...##.######.#########.##......###.########..#.#####.##....#.....##..#.#.#####..........##.#..###..#####.##.#.#.##..#...#.#.#......##.....#...#.###.##.######.....#.#........##.##.#.##.#.#..#.#.###.#....###.#.########.##.........#.###...####.....####.##.#...#.#...#.#.....##.....#.##.#.#..###.#...#..#.#........#.#.....####.##.####...###.#.########.######.###....##.###.#...#.#.#...#.##..##..#..#..#.#.............#.#.........##.####........######.##.#.####.###.####....##.##...####..#...###..#.#.#######.#...#.#
##########.........#.##........#..##.##.#.#####.##.##.#.####.###.######......####.#.#.#######....#.#.##.#.######.############.....#.#####.#.##........###.####.####.#.#.##.#..##.#.####.#.#####.##..##.###########.##.###.#.#.##.##.##.##...#..#.##.....#.##.#.#....##.#..#.###..##............####..########.........#.######.##....#....#..#####.##..####.#.##.##..##.#####.#######.####..##...#####.....#.#.#..##.###...#.#####.#######.#.#.###....####.....#.#.########.#....#..####.####.######..####...#....###........#.###.#.....###.#.######.##.#.######.....#...#####.#############.##.#...###...#######.###.####.#.##............###.....#.........#.##...#####.#......#.#########....##..#####.#######.###.######.#.########.###.#....#.#.#.##......#..#.##...##..#.#..#.##...###.#....##.#..##.####...#...#.#.#.#.#
#.#.##.##..#.###.#.#..####.###.##.#...#.#####.####.######......###......###.##....#.#.#..#.###.#.###.#....##.....#.#.#.#.##.#####.....##############.######..###....###.##.##.##.#.#....###.##...##....##....#.#...#####.........#........#.####.##.#.#.#.####.#.#.##....##.##..#####.##.#.#.#......##........#.#####.###.#.....####.##.#...##.....#..##....####..##..#####...###.....##.#.#######.#.###.#.......##..#.##.##.#.......##.#########..#.##..##.####.#..##..###.##.#.##.##......####.#.##.#..###...##.....#.###.##.#...####.###.....##.#.....###.#.###.#.####.#.##....#.###.##.#.......#.....###.......###.##...#######.#.####.######.#...#.##.##...#..#..#......###.##......##.####....##.##....#.....#...#..................#..####.#####.#..#.#.##.##.###.####...########.########.##..##.#.....###...#######.#.#
#.........####...#.##.#..############....##.#......#.#####.#.#..##########...#.#########.......#.##..#.#######.#.#.#.#...##.###...#.#...#............##.....######.#######.#.........#.####.####.###########.#.#####.....###.###.####.#.#####....#..#.#.###.###########.##..#####.....########.#########.#.##.####.#...#..#####..#.#.#############.##..####.###..####..##.###.#.##.##..#.#.#.##..#....######.###.###.#....#..###.##.##.....###..##.#####....#....##.###.....#..#.##..###.#####........##.....#.#..#.###.#...##########......#.#..#.#####.###...#.#.#####.......##...#.#.#..###.##.###.##.#######.#.#....###.#.......#.####.#......##.########.#...###...###.##...##.#.####.......##.##.#####.#########.##########.#######.#####...##....##.#####..#..#....#.###..#..##...#.........########.#.####.####.#.####.#
#####.#####..###.#.#####.##..###.#.###.#....##.#.#.#..#.##.####.#.######.##.####.#..##.###################.....#.......#..#.#.#########...#.#.##.#.#..##.##.#....####.##.#.##.##.##.#####...#.####.##.#.##......#..####.###..#........#.##.#..##.#.##.####..#.#...##.##.#####.....##.##...#.####......####..#.#....###...##..###.#.#..##.#..........##.##...#.##.#.###.##.##.....#####.....#..##.####...#....##...##.####.#.##.####....#####.##....#...####.#.##.#...##.#.#.##.#.#..##....##...#.##.#..#####.#.##.#.#...#.#.#...###....##.#.#.##.............#.....##.#..##########.#.#...##########...###.......#.#.#.#########.##.#.#....##.#####..#.#......###..######....###.##.###.###.#.##.#.......#...#.#.##..###.#......#.#...........#######.#######.######.######.####.##....###.##.#.#.###.......#....#....#...#..#.#
###.######..###..#.#.....###.#......#######..########.#.####....#.#..........##....##........###...##.##...##############.....#.##.##...#.#################.####...........##.#..#..##..##.##..###.......######.#.##..###.#####.##.##.#.#....###########.#.##.###.#.......#######.#..#..#....####.#.#......#####.#.....#..##.......#.##..#####.####..#..###..........#.#...##.#####..#####.##.##...####...##.####.##........##.##.##.#.##.#..##.#####.##..###..#######..#.#.############.#############.......#.################.....##.##.#.#####.####.##.#####.#.##..#####.........#.###....##.###..#####.##.#.##.######.....##.#..#.#.##.###########.#####.##...##.###..#.###...#.#.......#.#..##.#.##...#.....###.##..##.#.#...#.#.##.#.##.........#.....#....#.########.#.#.....##..#####.###.##..###.#.######.##...#...##.#
#....#...##.#.####.#####..##...###.##.#.####..#.#.#.#.#..####.#.#.#########.######.#####.#.#...###.......####.#.#.......#####......####.####.##.#...........##...#.##.#.##....##.##..##.##.#..##.#######....###.#.###.###.#.#.######..#.##.#...#######.#....#..#....#.#.###.##....#.###.##.#.#....#.########.#.#####.#.##..#####.#.#..##.#.#.####.##.#.##.##########.#.##.##...##.#.##.........###..##########.##.########.##..#..####....##.##.#.....#..####.###.#....##.#.#.....##.....##........#...#.#.###.#.....#.....#.#####.##..##.#####...#....##.#.....#..##.....#########...#.#.##..#.#.##.##....#..########....#.#....#.##.###..#.......##.........##.##....####.#...#.#.#.#.##.##.##############.#.#......##.#######.##.###..#.#..##.##########.####.#..............###.#..##.....##...##.##..#.....##..##.##.#..#.#
####.###.##.#..###.#...##.##.###...##......##...#...#.##....###.#.#.##.##...##.....#.########.##.###.#.#.#......#######.......####......##........#.#.#.#.#..##############.##########..#..##.##.#.#.#.####.#.#.#.#...#.#.#...###.#..##.##.##.##.#.##..####.##...#.##.#.#...#########.######.#########..#.##....#.##.#..##...#####.##.#......##...#....##.#....###...#..#.####..#.#.#####.#.#.##.#.##.##.#.#.......##..#....##.##.#.#..##.....#######.##.#..#.#...#.#############....##.####.##.##.###########.#.#.#...#.#.....##..###.##.##....#.###.################.##..##.......#......##.........#######..##.#..##.#.####.#.#..######.##.#.##....#####.###..#####......###.###.#####..##.####.#.#.#.##..#.##.###....#.##.....#.######.#####.#............##.###########.#####..#.####.#.###.########.#.###..####...#.####.#
#..#.#.#.#..#.##.####.##...#######.##.##.#....#...#...##.####...#...#...###.######.#.#.##.##..#..############.#.........##.#.####..#.#.##..######.##########...##.##.#.#.######.##.#.##.##.##.#.....................#.......#...#.##.##.########.#.###.........###.######.#.#.#.##.#..#......#.###.#.##.#.#####....######..#....#.......#.##..###...##....####.#.###.##.#.#.#..##.#..##.#####.##...##.#....######.####.####.........##.######..#.#.#.....#.######...###.##.##..##.#.###..##..#..#...#.#.#.#....#.####.########....##...#############..##.#.##....#.#.#####....#.######.#.#####.##.#.###.###...##..##.#..#####..#.#.####.#..##.#######.##......#.##..#####.#####..##.##....##..#......#....##.#.####...##......#######......###...#.##.#.#.#.#.............####...####...######.#.#...##.#.#...#.######.##....#.#
##.......##.#.#...##..####.###..#..####..####.#.#####....#..###.###...#.......##.....#.#...##.#.##.##.#.#.....##.##.#.#.####.#....###########.....#....#.##..#.........#.#.................##.#####.####.##.#####.#.##.#.#.####.#.#...#..##.........####.#.##.##....##.#..#........##.##.###.......#.#.....#.####.##..####.#.##.#####.#######...###.##.##...#...........#.#.##.##.##..#.##....#..###..####.#.#.....##....######.###..#.#....#.##.#.###.#....##.##.###......###..#####...###.#######.....#.#.##.####.######.....#.##..###.#.##........##.....####......#....#.##.#......#..##...##.####......#..##......##.....#######.....######.#.....####.#.#.###..#....#.....###.#########.###.##...##....###.###.##..#.#.#####.#..#.##.#.##.#####.########.#.#.#.#.##....###..#######.#.##.#####......##.##.....#####.##.###
#..#####.##.#.#.#####.#.#..#.##.##.#..############.####.##.##.......#.###.##.#####.###.##.##.......##.#.#####..########.#.####.#.##...#..##.##########......##.#####.#...#################..........#....##.##.##.#.########.#......#.#.##########.##..###.#..####.##....#########....####.#######.#.#####.#.#.#...##....######.#.##..####.####.#.#.#..####...##.##.###...#.##.##..##.#..####.##.##..##.##...#####.####.##.#########.######......#..#######.....##########.#.#.##...###.#.####.#.#..###...#######...####.#####.#..####........##.##.##..#.#....#.####.################.#########..##...#.####.######.#.#..#.#...##....#.#.#.##.....#.#....###.###.##.###.######.#.#.#.........#######.####.#.#.......#..######.......##.#..#....#.##..##.#.#.#.#####.#.#..#.##.##.#.####........#.#####.#.##..#.#.#.....#..#...#
#.##..........#..##.#.#.#.##....#..#.##.##..##.#........#..######.###.##..#...##...##...#.########.......##.##.#.....####.#.#..#.####...##....###......###.##..#.....###.##.....#####......#.#.##.######..#.#.....###.....##...#.########.##..##.#.##.##...##..##...##.####....#.####..##...##.#.#.#.#.#...#.#.##.#####.####..#....####.#..#.#..#.######.#..#.#..#....###......###.##.#.##.......##.###.####.###.....#..##.....#......##.####.##...##.##....#####...#.##........##.####.#.##...#.########.##.##.##.##.#...######.###...################.######.####...#.###.##.#........##.#.....####.##.#....##.....####.#####..##.#.#.#.#.#..##.##.####.#...##..#......##.......######.##.#.#.......#....######.##.####.##...#.##.##..####.#.##....##..........########.#..............##.#.#.........#.#..##.#.##.#####.#.###
#############.#.##......#..##.#.##.#..#.#..###.########.##..##....#....######..###..###.#...#####..##.##.#..########.#.#......####.####....#.##.###.#.##....####.#.#.#.#....#.#.......###.######..##.#########.##.##..###....#.#####.#.##.###.......#.###.####..#####..##.####.#.#....##..#............###......#.#.##...#.##.###.##.#..##.#.##............########.#.#...#.##.#.#.##.#.########.##.##...##..#.#####.##.######.##.###.#..#.#######.....####.....###.#....##.###.....#.###..###.#.###......##.##.#.......#..........#####..........##.####......##...#............#.##.###....###..##..##.#.##..##.#.###....#.##############.##.#..#..############.###.#.##..#.#.#.##..##.##.#.##.#.####.##.##.....##.#.......###.#...##.###..#####.#.###.#.#.##.##....#.####.#.##.#.#.##.#..#.##.#.#.##.####.##.#..#....##.#####
#....#.#......#..####.#...#####......##.##.##..............##..##.##.###...#..#####..##.##.##...#######....##...#.#......##.#..###...#######.....########.###.########...######.##.#.######...#####.....#.#############.########........#..########.#.#.####.####...#####.#.#....####.#####.##.#.#.###.#...##.#...#..###.#.##......#.##.........#.##.###.#.##.....#.#.##.#####.#.#.##.#.#.#....#.#...###..##..........#.#.###...#####.#.##...##....#.#.#.####.#####.###########.##.##..###.#.........##.#.....#.#######.########.######..########......#######....#.##.#.####.####.#....##.#.#...####.#..#.##.#######.###.##...#.#..##.........#####.#...##.##.#......#####.###.#####....##.#..###.##...#..#..###.##.#.#####.#...#.######.##.#.....###.#####.#..###.#........#.#..#.#..#.##.####.###.##.##.#..#.##.#.##.##.....#
####.....####...##..#####..#.#######....##.#####.####.####....##..####.###.##..#.###....#..####..##.##..##..###.#.####.#########.###.........###...#.#.####.#.#.#.#.#..###.#.#####.#.##.....#....######.#.#.#.#.##.#.#..#..##.#####.###...##.##..........#.#....###.#.#.#.#.####.##...#..#######.###.....#..#####.#.##......######....##.#.#.#.####..#...######.#...######.#.......##.....####...##.##.#.############.#...#.###.###.....####....######.#.#.##..##...#.#.#.##....#.....##...##################.#.##.#.####........#......##........##.#.........##.#.####.#....##...###.#########..##..##.#..####.##.....#.###.##.#.##..####.##.##....#.#.........####.#.....##..##..#.#.##..#.###..####.##.##.#....###.#.....###.#..##.......##.##.#.........##.#.#.###.####.#.##.#.##.#.#..##...##...###....##..#.#..#.##.##.##
##.#########..#..##.##.##.##..##.######.....##.####.###.###.#..##.#.##.#.#.###...#.##.#...##.###.#..#######.#.#......####.###....#.#.#.#.###.#...#...#.#..........#.##.#.......#...#..##.#.#####.#..#...#.#..........##.##.##.....###.###.##.####.#.#.##.....####.................###.##......#..##..#.#.#.##........##.#.#..###...##....###.###..######.##.##..###.#......#######..##.##.#..##.##..##.#..##.###.#......###.......###.#.#.###.#.#...#..#.#.#..#####.......##.#####.#.#####.#.######.##.##.....#.......##..#.##.#.##.##.####.####.#####.#.###.#.#..#.#....##.#.##.#.#....##.......##..#####.##.......#.#.###.........#####.##########.#.##.#.##.#.#....#.#.#..######...#..##.#.#...##.....######.##.#...#.##.##...#.####.##.#.##.#..##.#.#.##..#.#....####.#..#.#..#.#########..#.##.#..##.#.########.##..#..####
#...######.##.##...........#.##..#.#.#####.##...##..##....######..#.........####.#.######.#..#.#.#.##.##........##.#..#.#.#.####...############.####...###.#.##.#......#######...#.#.########....##.###...##.##.####.......#####.####.#........#############..#.####.####.###.###........####...##########..###.#.##....#.##.....#.##.##########.##.##...##.#..##...##.###.#.###...######.#.###.###.#..##..#.#.#...####.#.#######...###.#.#.#######.##.#.#.#.##.#.######.#######.#.#..##.#.#.#..........#####.#######....####..####.#..##.###....#.....####..###.#######.#..#.########.##..#.#.#.#..##.###..####.##.###..##########.#.##..#####.##...#.####.#..####.#.#.#.#.##.##...#.##.##.#.##.##..##.###.##..######.#.#..##.#.####.####.#.#..##.#..#.#..##.#.#.##.#......####.####.#.##....#####.#.###.#........#.###.##.####
#.#...........###.#.#.####.#..##......####..#.#.#..##..##....#.########.#.#....#.#.#.#.##.##.#.#.#.#.....##.#.#######.#.#.#.#..###.##.#.#..#######...#..######..####.#.#.......#.#.####.#.#.###.##....###.#######.######.#.#.#.#.##.#.#.#.##.###.#.#.#.....##.#.##.######.##..#...#.##.#...####.#.#........#########.#.##..##.#.#######................###....##########.......#.#..#.##.....#........####.....#####.......###..###.##..#.#..#.##.#..........#....##.....##.##...####..........#.####.#........#.#########.#..####..#####.#####.#####.##....##....##.#...#.##.#........##.##.#.#.#.##..#.####.....######.#.#.##.###....##.#.##..#..#.###.#########..#.#######...##.##.##.#..#.#..########.#..##.#......#.##.##.#####...#...#.##..########.##..##########.####.#..#.##....###.##.....#.##..#.#.#.#.##..##..#...##
##########.####.#######....##..#.##.#......####.##....######.#..##..#.######.#..........#.##.....#.########.#.#...#...........####....#.##.#.#.#.######..##.##.##....#.#####.#.#.###........#....###.##.#.#.#.##..#.#.####.#.#......#.#.#.#..##......#####.##.#.##..##..#################.##..###.####.#.####.##.....#.##########.#.#####.##.#######.######.###.#....#...#####...##......###...###.##..#.#####.##.#..#.##.##.##.#....#.##.##........########.####.######.##....#....###.#.###.#####...#.##.#.#...............###.######.#.#.#.###.#.####.#.######.#..##.##..######.##.###.##.###.#.###.#...###.#.##...##.#.#......##.#.......##...##.##..........#######.#.#..#....##.##.##.#.####.###.##.##..################.##..###.###.#.#..##........###.###...#.....##....##....##.#.#..####.##..##.#.#.#.###..####.#.#..#
##.##......#.....###.#####.##.#########.#.##.#.....##.##.......####....#######.##.#.#.#......###.#.###.##.#.#.###.####.#.####......##..............##.##....#####.##.####....###...########.####..............###.#............####.....#.##....####...#.........##..##.##.#.#.###.#.##.#.#..####.#.######....#..##.##.#.###.#.##..........####.......##....##..####.#.#.#.....#..####################.........#....##.#........####.#.#...######.#.#.........#...#.##.#.###.####.#.....#########.############.#.#.###.#.##.##......................##.######...####....#..###.#....###.#..#...#.#.#.#...###.########....#.#####.##..##.####....#..######.#.#.##....###......##.##.##..#.#..####..........###..#.#.####.##.#....##..#......#.#.############...#...#...#.#..##.#.###.###......##....#..###.#.###...#.##.##.#.####
#..#####.#######..#...#.##.#...##....####.##.##.#.########.#.#..#.####..#.#.#..#..#.###.##.#.#...#.#.#....#####....#####.########################.##...####..##.########..#.###..#.#........#####.#.#.####.##.......#.####.##.###...##.#######.##....#...######.###.##..##................##..#...#...#.#####...##...#.#..........##.#######....#.######.#.####...##.###.##.#.#####...............##...#.#.###.#.##..#####.####.###..#.###........####.#.##.#...#.........#####.#####.#.###.#..#...##..........#.#.#...#.####..#.#.#####.##.#.#####....##.#.###.##...#.###.##....####.....##.#.#.###.###.##...#.#.#...##..........############.##.###.....###.####.##.#.###.##..##.#######.###.##########..###...............##..##...#.#.####.##.###.......#.###.#.#.#.#.##..#.#...#...###.##..##.##.#...#.#...#.#.....###....#
##.#.#.#####.#.##.###.#.#....#####.#..##...#.#######.#.#.######.#.#..##.......###.##############...#.####.##.#####.#.#####..............##.#.......###.#.###....##..##.##.###...##.#.######....#..#.#..##..##.##.##.#.#....##.#...#..###.#.#....####.#.#.#......#.#..##.###############.#..##...#...###.......#####.#####.##########..####.###########.######.###.##.##..#######..##.#.####.#.###....#.#.#.#.....######.##.##...#.##....########.##....########.##.#.####.#.#...###.#####.#.##.###.##########.########.#..###########....#..####.##.##.#...........#.###...#..#.##....##.##..#.#.###.##..#..#.......#.###.#.####.##.#..#.......##...#####..####.#.......#...##.##........###........#.#.#.##.#.#####.######.#########.#####....##.....##.######...###.#.#.###.#.#######.##...##.#...###.#.#.#.#####.#.###...##.#
##.#.#..##.#......#.......##..#.#####....#.....#.#........#.#.#.#.#.####.####.##..###.##..#.##.###....##...#...#.#.#...##..#.##.#.#####......#.#.#........###.#..##.....#.#...#.#######.######...##.######.#####.#..#####.######.##.##.......#.#############.##.....##..#.#.#...........#.#######.#...##########.....##.###..........##................##.#..........#####.#.#.##.##.#.###########.#.#####.#.##.##.###.....#..#......##..#.#####.#######.........#####........#.....##.##....#..#...##.....#....#.#....#.##.#.#.#.#...#####.#....####....#.#.###.#.#.##..#.##.#..###.##...#.####.#....##...#####.##.###.#.#.##....#.##.#.#.#.#.##.#.#.....##.##.##.##.###.#..#####.#.##.###..###.##........#.###.#######......###.#....##...#.#########...##....#.#####.#...#####.......#..#.##.##.######.#.#.....###..##.#..#.#
#..#...##..######...##.#.####.#.#.#.###.##.##.##.##.#####.....#.#...##.###....###.#....##.......#####.####.###...#...#####.#.######.#.#####.##.#.#.##.#.#.#.####..####.##.#######.#.#.....#....#.##.#....###.##..#.##..#...##.....######.###.###....#.#.#....#..#.#.###.#.#.###.#.####.#####.###..#.#...##.......#.###...#..#.#.#.##.##.##.#.#.#.#.#.#......#.#####.##.##.......#.#..###...........#.##.#..####.##.....#.#.##.###.##..##..........#######.##.##.###....#.#.#.######.##..####.##.#.########...#.##.#.##.###..........#.##....####.#.#..##.###.##..#.#####.#..###.#############..######.#######..#.#..##....#######........###.#.#..######.##......########.##.#..#..#.##.#...##...#..##.###.#.##....#.....#.##.#.....#.###.######.###....###########.....#.#...############.###...###......#.##.##...##.##.#.##.#
##...#..##........#.##.#.#...........#######...#.#####..#####...###.##..#####.#.####.#.########...###.#.#..#.###.###.#.#.#####.##......##...#############.#.###..##.....###...##......#.#.###.##.##.##.#........##..##.#####..#.#.#......#....#####.#.....#.###.###.......#..##.###.....###..#...######.############.###.##########..###############.####.#####.#...#..########.....###..##.#.#.#.##.##...####...###.#.#.#.#..##..##.####.#.##.#.##........######.####.#.#.###.####..##.##.........##.#....#.#.#..####.######.#.##.######.######.....##..#...###.#.#...#.#.###..#...#.#.#..#..###.#...#..##.##.####.#########.#####.#.##.#...#.##.##.....#######...........#.##...##.##.##############.#.....#..##...##.##.#####.#.##...###........####..##.........#.#.#######.#..........####.######.##.#..#..#.####.##.#.#..#
##.#.##....#.##.###..###.##.##.#.###.#.#######.#.#.#...##.#####.#...##.##.#####.######..........#.......##.............#.####...#.####....###.....##.#.##...#.##..#####.##..######.######..##.#..############.###..###.#..###.#.#####.##.###.##.....#####.###.######.#.##...########.####.##...###.#.##.#...##............##.#.#....##.##.#.#.#.##...#....#.......#...##.#.#.##.#.#.##..##..#####.##.###.##....#.##..########.##.###..##..#.##.###..##.##.####.##.#.#########.......##...###.#####......#.##.####.##.###.##.######..#######......###..##.##.##...#.###...###.##.###.....##.##.#.#.###.##........#...#...............#.####.#.#.##..##.##.#.......###.#.###.#.##.#..##########.##.......###.#...#####.#..####.#.#####..#...########.#####..##.#####.##.###..##.....#.####.#....####.....#..#.##.##..##...#.###.##
#..#######.#.#...##.##...#...#####......##.###.#.#.###.##.....#.###.##..#...##....#.###.##.##.#########.#######.#.###.##.#.#..#.###.##.##.#...###..#...####....##.#.#.#.##.#######.#..###.##..####..#.##......#...##.....##...####....##.#....#####..#....##...##.#..#.##.#...##...####....##.##......#.###.###.#.#.##.##....#.##.#.##........#....###.##.#####.#####........#..#.###..####.#.....####.####.#.##.###.#........##.#.####..##.##...##########.................#######..#.#.....#.....##.#.#.#..#....#..........#.##..##.##.#######.#...##..####..######..#..##....#####.#................######.#...#.#######.#.##.##.###.##.#.#..##..########.#.####..#.##..###..##..##...........#.###.#...##.##.....##..###.#.##....########.#..........########..##.####..###.#####....#.#.##..###.#.##.#.##.##.##..###.#....#
#####......#####.#...##.##.###..#####.#........#.#.#.#.#..#.#........##.###..####.#...####..#######......###..#####...##...####.##...#############.###...###.#.............#..##.###.##......#####.##....#.#.####.######.######....##.#######.######...##.##.#....##.########..##.###.###.###########.#.#.......#.##########......#######.###.#############.....##....##.###...##.#...###.######.##.........#..###.##########.#....##.##.#..######....#.####.##.###.#.#.#.#.##.#####...###.#######.#..#.#########.##.###.#.#......##.............###..##...###.##.....###.#..#.##.....##.#.#.#.#######........#.#.#.#....####.#..#..##.....#.#.####.#...#.##.#.#....##..##.###.##..###.########.####...##.###.##.######.##........##.##.........##########.##.....##..#..##.#####..##.##.#.#..##.....#.##.#..#.##..##...#.##.###
#.##..#.##.##....##.###########.......######.#...........#####.#.###.##.##..##.#..#.####.######.#.#####.##.##.#######..##.##.#...###.##.....##.....##..#...#.##.#.##.#.###.#.##..##...#.#.#.###....###########.#..#.......#.#####.#####.#.#####....#.#.#..#..####....##.....##.#..##..##....##.#.##.......##.##.#.##.....#...##.#.#...#.###.#.######.##.####.#.####.#.##.#######..###.##......#..##.#.#####.#.##.........#.#..##.####..######.##.####.#.#.#################.#.....###.##...##......#.##.#.............##.###.##.#.##.#.#.###.#####.####..#.#...###.##..#####.########.##.#########.##..####.############.#.#..##.#.###.##.##.###....###......####.#..#######...#..##.###......###.###.#####...####......###.##.#.################....##.#.....#.#..#####......####.##.##.#.#.####.##.#.##.#.##.##.#####.#.##.###
#....#####..####.##.#.###.......############.####.###.####.#####.#.......##.##.##....##...###..............##.#.#.#...###..#.###.#....#####.#..#.#..######.#############.....##.##..#.#######.####....####..##...######.#.....##..#.##......######.#.#.#.###.#....#.#######.#....##..##..#.##.......###.#.#..#..#..#####.#####..#####....#..............#..######.#.#.#..#.......##...##.#.##...##..#.##....#####.#.####.....##..#....##..###.....##......#.#..#.....#.#......###.....#..###..#.##.############.##.#.#####...#..#..########..#.....##...####.#..####..##.#.###........#..#............##....##.##....###.....##..#.#...#..#....##.#.#...#.##.#....##.####..###.####....######.###.....#.....#..##..######.#########.##.......##...##......#.#.###.####.##.#.#...#......###.#....#.#..#.#..#..###...#.####.##...#
##.#.#.#.####.....###.#.#####.#.##.........#.#....#...#.....#.##########.#..#...####..##.##.####.#.#.#.#.#....#.#.###.#.##.#..#..####.##.#..##.####.#.##....##.#.##.#.#..#.#.....####.##.###.....####.#..##..######.#######.#..####..######.#...#....###.#.###########.###....##..##.##.##.#..##.##.##..#.##.##.####...........##...####.###.#.##.#####.##..........#.#.###.##.###..#.########.####.#####.#....##########.##.#######.####.#.#####.##.##.#.#.##.#####...####.#.#...#.#.#.##...##.######.#.##.#.########.#####.#####...##.#...##.###....#.#.#######.###.#....#####.##.#.##.#######.##.#.##.#.##.....##.#...###.###.####.###.##.###..#.#.###.##.#.#.###.#....####..####.###.#....#.###.####.#.###..####............#....#.#.#.#..###.###.#.#.#.#.#...##....#######...##.#...#.##.#.####.####.#.##...#.....##.##.#.#
##.###.#....####.##.....#.#.##########.#.#...###.####.#.#.#.....##.......##.##.##.###............#######.##.#......#....#..##.#.##.....#.##.##.#.......####.............#######.##.#..##..#..##.###.#.#.##..####.......#....##.#.##.##.##.#.###.####.#####.#....##.#.......#.####.#..####....#####..###.#######.##.#.#########.####.#....#.###.#####.#...#######.##.#.###...#..##..##..##.#......#####.##.###.##.#.#...##..###.###...................#..#......###.###.#....###.#.#.#.#.#..#.#..#..............#.##......#.#.##....###....#..####..##.#.#.#.#.###.....##.###.#####..#.######.....#..#.##.#..#######....#.#.....########...##...##.#.#.#...##.#.#.#...##.#......##..#..#..####.#.#.####...###...##########.#.###.####.########.....#...###.#############.##.#.#..#.##.#.#.######....###....#..##.####.###...#####
#..###...##......####.#.....##.#.#######.#.#.#####.#########.##..#######....##.#......#.#.##.##.###......#..######...##.##....#.###.##.......#######.#....###.#.#.#.#######........##.###...###.#.......###....#.#.###.#######.#.##.##.#....#.#...####.##..####....####.#.##..#.#.##..##..##.#..###.#...##......##.###.........#......##...#####.#.#...#..##.#...#..#.##..#.#####.####.#....##.###........##..#......#....##.......#####.#.######.##.##.##.#.#.....#.#...##.#...###############.###.#.#.#.##.#......#.##.....###.#.#####.##.##..##.#..#.#.........##.###.#.#.#.####.###....#######.##.#..####.......#.##.#.#.#.#...#.####.##.#.#..#######..#.##############.#.####.##.##.#.............##########..##########.#.###....##.##..##.########.##.#.####.###.#......##.#..#.#.....##.#.######.##.##..#..#..###.###.##
##.#...#####.###....#######..............#.#.#.........#.#...###..####...##..#.#.####.#########...#########.###....####.#####.#.#.######.###..##.###.####.....########.#.#..##.###.##.#.###.#...#.#.#.#...###.######...#...##........#.####.....#......###.#######......###..##......##..######...#####..###.#####...##.#.####.##.#######.##.##....##.###....######.#.#..#####.....##..###.##...##.###.#.##..####.#.###.##########.#.....###......##.#..#..####.##.....#.##.#.####.#.#.#....#...#####.#.###..#.########..##.##...###......#####.#..#########.##.#.####..............#...##..........#.#####.#######.#.##.#.#.#####.#.#.#..##.#.##.##.#....#####....#...#.##.#.#............#.###.#.###.#...###..##.#......##......###.##.....##..##.#.....##..............#.##.##.##.#.##.####..####......#..##...###..##......#
#..##.##...###...#####.##.##.#.#.#######.#.#.####.####.....#...##......#.###.#.###....##.#.##.#.###.##.##.###...#####.............##..#######........##.#.##.###.##......########........######.#########.##..#.######.###....######...#####.##.######.........#####.#.##...######.#..#####.#.###.#...####...#.....########.##.####.............##.#..#.#.##.##.....#.##..##...#.###..###..##.###..#####..##.#....########.##....#.###.#.#####.#.######.##.#..######.#.#..#####......#.##.#...###.....#.####.#..##.#.#############...#.##.##.#....####.#.##..######.######.#####.#.##.#.###.####.#.##.##.....##.....#.##.#.###...........###.####.#..##.###.#.####.###....########.#.#.#.######..#.##..###...##.##.#####.##..##.#........##.####.#....##.##..#.#.#.#####.##.##.#..#..####....######..###.##.###.#...#.##..#.#.##
#####.####.....#.#...........#.####......#.#.###..#....#.#.#######.#######......########...#..#.#..........########...####.###.##..##..###..##########....#..##...###.##.....##.########.#.#.....#.#......###.#..#.#...#...#.##......#.......####...####.##.##.......###..#.#..######.###.#.#.#.#.##.##..#########...#.#....####.########.##.####....##...#.....##.#########.#.#.#...##...#####...##.....######.####.#.#......##...#...###.##..####.#.####.##.....##.###.##.....#.##...####.###...#.#####....#.##......##.##.#.####.#####.#..##.####......####.##....#.....#.....#.####.#.########.#...#####....###.#..###...#.##.##.##.##....#.####....##.........#...##.####.....###########..######..####....##.#.#.#.#..######.##.#.##..##.####.#.#...##.########....##.##.#####.##.#.####....#.##...####...#.######.##.####
####..#....##.####.#.####.##.#.#....#.#.######.##.############.#.#.#..#.#######...##...###.#.###########.#..........#.##.#######..####.#.##.##......#..##.##.###.##.########......#.#.##.#.#####.#.##.#.#.......##.###.########.###.####.#.###.####..#####..##########...#####.#.###........#.#...#...##...#########.#.#.##...#......##...######..#########.###..###.##......#####.#.##.#.##.#..#.#####.##.#..####...#.##.#.#####.##.#.##.....##...........###.##......#..#######.#..#......#######.##.###.#.#.#..####.........#.####.#.####.#####.###.##.###..#####.#####.###.#.#.#..###..........##.##.....##.#...#.##...#.###..#..##..####...##.####..#.#.#####...####.#.#..#.####.#.##.#.##.#...#####.#####.##.#.#.#...##......#..########.###..####.##..#..#.....#.##...######..##......####....###....##.##.##.#.#.##...##
#....##.##.#..#.##.######.#..###.##.#.#..##.##.####.#..........#.####....#.##.#.######.##.....##.####.#####.#.#########...#...###.#.#..........####...########.#.#.....#...######.#.#.##.#.##.#.......####.##.#..#.##....##.#.#######....#####....##.#.######..........#.##..........#.#.##.#.###.##.####.##.#...##......##.#...####.#..#.#......####.#.....##..##......###.##.....#..###.#....####........##......#......#..##.#.##.#####.#.####.##.####.##....###.##.#.###......##.#.####.#.......##.#.###.#.#####.#########.#.#.#.....#...#.##......##...##.#.##........#...#.#.#.#######.#.#.#.######.##.####.#.#.##.#.#...##.##..##.#....###.......##.###.#######......##.#.#..#.........#####.#....................######.####.##........#.#.###....##.##...##.##.####.#......#####.############...##..###.......######..#
#.##.##.##.##.#..####.....#.#######.####.#............########........##....#....##.#..###.#####........#.##########.##.#...#.........##.##.#.#######.##.##......#.###.###.##..............##...##.##.##....####....####.#..#..##..###.#.###.####.#......#.##.###.###.########.#.#.#######............#...##.###.#####.########.#....#.##.##.#####....#####.###.#..##.#.##...###.#.#.##...##.###.#..#.#.#.##..#.#.##.######.##....##.##....#.##...####....#..#.###..##.###.#####.##..#.#....###.###.##....#..#.###......##.#.#.#.#.#####...#......#.#.##..#.........#.#.#.####.#.###.##.#.#..#######...####..#....#.######.##.######.##..#.####.######.##..###.....######.#.#######.###.##.##..##...######.#####.##.##.#..#.#...#.....########.......###.##..#..#.##.#.....#.##.#.#..##.....##.........#..##.###.#.#.#....####.#
#.##.##..#.#..##..#.###.#.#.#..##.###..####.######.##.#..#.#...##.#########.##.#.#..##.#.#..##.########.#.###.........####.######.##.##..#..####......##..######.#.#...#...####.##.####.##..##############.########......##...####..##.#.#..........####.#..#.######..##.....########.#.#..##########.###..#.#.#.#.#.#.#........####...#..#####.#####...#.....#.##.##.#..##.##...########.####...######.#########.#...####...####..#####.#.#..#####....#####.###...##..#.....############.###...#....####.####.#.##.###..#...........#####.#.##.###.#.#..###.#.##.#.#.#.#.#....#.##.........###.######.#.###.##.#.#####.#...#.#..#....##.#.###..#..#########.#####.#.#....#..##.##...#########.####.##.#####.....##.#..#.##...#########......#####.###....#######.#..##.##.########.####.#.###.##.###.##.##....#.#.####.#....###
#################.#.#.#.######....####.#######..#####.##...###.##.#......#..####.##.##.#.##.##.##.....#.#.#.###.##.##......##.....#...#####.##...#.#.####......#.#####.###..##..##.##...##.##.###.##.#..#####.#.##..#.##....#.##.#.##..##########.###......####.##...#######.##.#.#...#.####.##.......####.#.#.#.....####.#####.#....#.#.##...#.#.#...#...##.##.#####.##.#..####.##.##.####.####........#....##...##.##....###....##.....#.####.###.##.#..####...#..#####.##....#.#.#.#.#.#####.###.##....#.#..#......##...###.###.#.......###..########.##..#..###.#.###.###.####..##.######....#............#######.....#.#.##...#########.##.#.##....#.#..#..#..#.####.##..#.####.#.#.##.......#.#..#.#...###..######.#..####........####.........#.####.#.....##.#..##..##......##...#...####.##..##..##.###.###....##.#...#
#####.###.#.....#.#.#.####.#.####.#.##.#.##....##.#.######......########.##.#.##....##...#..##..#####.#.#.#.#.######..######..##.###.##.....#..#.#.###.#######.#.##.#..####....###.###.##.....#.#.##.##.#.#.#......######.###......#####..#....#########.#..##..#######.####....#.###...##....#######.#.##.#.#.#####..######....####.########.......#.#.####.##..##.#..#.####....#..#...#........##.##.##.##..###.##.###.#...##.#..##.##.#..##......####.##.##.######..########.#.........#.....##..#..##.....##.#.##..###.#...##..##.#.##.###.##........##.##.##...#..##.#####.#..##..#####..##...#.###.#.#.###.#..####.##.####.######.#.#........####.#.##.##.##...##.#####...#....#.#.#..#####.#.##...######..##......##.#..###########.##.##.#.#######....######.##..######.#.#..#.#.#.#..##..###.##.##....#...##.#.##.#.###
#.##..#.#.#####.....#.##......#.....##...#####.#.....##.#..#.#.###.......##...#..##.####.##..##..##............##.#..####....######..####.#.##.#.#.#....##.......##.#.##.##.##.#...#....##.##........##.....#####.###...#####.####.#..###.##.#.........####..##.#.##.......####.#.#####..####...#.....#.##......##.##..#.#.######....##.#.#...#.#.###.#....#######....##.##...#####.###.########.##.#..#...##......###...#####..#####.##.#######.#.##.#......#####....##.##.....###.###.#######.###.##.#..##.###########...###..##.#..######.###########..#.#...###.##.##.#.......####.#.....##..#.#####.#.#.#.....###...##.##.###....#.....##.#.#.##..............#.......####.#.##.....##.#..#.....###.#.##.##.##.#.#.##..##......##.##.....#######.#....######.....##......###.##.###.#.#.##..##...##.####.##.####.#.##.#..##
#..##...#.###...#.#....######.####.####.##.....#####.#..#########..#####....#...###.#.......####..####.#.#.###....##.#....####......##.#..#.####.#.##.#..##.#.##.##...##....#..#.#.###.#########.#.#..#.#.#.##..###.##.###....#......##.#..#.######.##..##..###.#..##.#.##..............##..###.##.##.#.#..####..#.##.##.#.....##.##.#....#######...####.#..##.#.###.###..##.##..........#.#.#....#.##.#.#####.########.####.#######..##.##......###....#.##..#....##.......#.#..#####..#.......#....###.###.##...#.###..#.#...###.#.###.#...##.#.#.#.###.#.##.##....#..########.##..####.##.##.#####....#.#.#.###.....#..####.######.############.###.##.#.#.#.#.########.#.#..######.#######...#.#.............##.#.#########.###.#.....#.#...##......#.##......#.############..##.##..###..#.##..#..#.#.#..##....#.###..##..#
#.#####.#.#.########.#.#.##................#.#..##.#.#.##.......####.....##.##.##.#.####.##...##.##....#####.####.##.##.#.##...####.##...####.##########..######..###.#####.#.##.#..##.#.....#.######.#####..#.###.....##..#.######.##..##...###..#####....##.#.##.############.#.#####..##..##.#..#......###.##.......#.#####..#########.#....##.###....#.##........#.#.##..######.##.#.......#.##.##.#..##.#######..####.#.#.##....#####..#.####...#.##..##...##.###.##.######.#.#.##.###.###.#.#.######...####...#.##.#.##.##...###.#...#...........##.#.#...###.##.###.#####.##.###...##.##.#.....##.#.###.#...##########..#.##.....#.##.##.#......#..#####.####.........##.##.....#.#.#.##.######.##.##.#.#..###.#.........###...#.###.##.##..##.#######.##.####.....##.##..###..##.###.##..##.##.#...##..######.##..####.#
#..##...#.#.#.#....###...#..##.##.##.##########.#.......#######.##...######.####......######.##...#######..........##########.##....##.#..##...##.#.#####..#.#.#.##.#.#.....#..###########.#....#.##...#.###...#.#####..#.####.......##.##.###.##....###.#.......#..##.#####.##.#.##....####....#######.###......#####...#...##..#.##.#...####......##.#.######.###.##.#######......##.##.#.####.##..#######.......##.............##.##########....###.##.##..#.#..#....#.##.##.........#...#...#.#.#...######.#..#......###...##.##.....#####.#.#.#.#....####.####..####........#...#..###...#######.##.#.##..#.#.###....#.##.#..###.#...........#.##############.#########.##.######.#.#...#####.....##..###.##.##..##.#.#.##.#...#.############..####.##.###...#######....#..##...##..#....##.####..#.#..##......#.###.#.####
#.#####.#.....##.#.#...#...###..####.#...###......###.#..#.##......#.#....###.#..##.#.#.#.....###..#.##.#####.###.####.#.##.#####.#.#..#######.##.#.#.#.##..............###.#.##........#####.#...#..#.#..####.#.#.####.###########.##...####.....##.....####.##.##.##..##......#######.#..####...##.#..##..#######.####.###.###.#.##.###......##.#.####..##..###.####..#.############.####....#..####..##.###.#.#....########.#.##...##........#.##...######.#.##.##.#.#.##.######.##.###.##.#.#.#.###.....##.#####.#.#...###.#...####.##.....###.####.#..##..#....##..#####.#.####...##...#.#........#.#..##.###.#...##......##.#.#########.#.#.#.##...##.#.......##.#.#...............###.......#.#..##.##..##..##.#..#########.##.##...........##.....#.##..#.#...#...##...##..#..#####.######.##.#####.##.#.####.#........#
#.#.#.#.#####.####.###.#.###.#####.#####...#####.##...##...##############.#...##.####.....###.#.##.#....###...#....#........###.######.####....##.#.#...####.###.#.####.#...#.######.##.#.#.#.#.#...##...##........#.#...#.#.##.###.##.####.###.#..#########..#.....###.#####.#.#..##.....##.####......######...........................#.##.#.#..###.#..###.###...#.##......####......#....#.######.##........####.#.#........#.#..#..###.#.#.##..##.##......#.#..#..###.#.......#.#....#############..###....###.#####.#.#...#####....####.#.##..##.#.##.##.###.#..##.......#.#....#..###.#.###.#.#.####.##..#...#.#.##.#.##.........##.....###.#.##.#....#######.#....###.#.#.######.##.###.##.##.##.########..###.######.......#..#####.##.#.#..##.##......######...#####.####.#.##.....##.##.......##..##.#...##.#.#.#.#.##
#........###..#.#......#####.##.#...##.###.##....#########.#....#.#.#.###...#....#....###.#..........##.#.########.#######.##.#..##....#..####.##.....#......#...####...###.#.#...#####.#.....####.##..#....######.#.##.##...............#..#.###.##.........##.#.#.....#.##..#.##....###.........##.###.#.####.#.#.#.##.#.##.#.#.##.##...#..####..##...##...##..#......###.##..#####.###.#.######......##.#.#...##.#####.#.#.#####.#.##...#.#.##.##..######.####.###.#...##.##.#...##.########..#.#.#.##...##...........###.#.#.....#.##....#..####.....###..#.############.##.#.####.########...#.#.##....##.##.##.###..#####.#.####....#.#..##########.#..###.#....##.#.########.##.....##...#.##.#..#....####.#.######.##########.#.#.####.#.#.########.##.##..####.##.....##..#.##.#.#.....#.##.##..##.##.#.#.##.###.#.#..#
#.##.###...##.#.##.######.......#.###.......######...#..##.##.#...........#.###.####.##...##.#.##.#.###....#.#.##.............##.########.......#####.#.###.####.##...#.#########.#.##....#####....##.##.##.#........##.###.##.####.##.#...##..########.#.#.########.##.#.#..######.#.#...#.#######..##.........###.####.#..#############.##.##.#.####.#####....##.#.#.####..##.##.#####..#.##.#.###.#.##..#.#.###..##....#####.....###..#.###.#...####.#.....#####.###.#.#...###.######.#.##.##...#.###..#.#..#.#.###.#..##.#.#.#.#.#######.##.#....#.###...##..#.#.#.#.#...##.###.....#.#..######.#..####.##.#####.#...##.....#.#....#######.#..........##.......#.##.....#.#.#......#.#....###..####.#.##........##...#....#.#.#.###........#.####.#.....#..###.......##.#.##..####..###.########.##.##..#..#.####.##..#.####
#..#####.#....#.####.##.#######.#.#...#.#.#..#.#####.##.##.#######.##.##.####...##.######.##.########.####........#.#.####.##......##.....#.###.#..########.##...#..#####.####.#....#####.#..#####.####...####.#####.#...#######.#..######.###...##.##########...#...#......###..######.#.#######...##..##.#.##..#####.###.###.#...........###......##.#.....#####.#.####.##.#...#.#.#.#.##.##.......#..####.#.#...####.#.#.....#.#...######...##.##......#.###.##......####.##...###.#..#.....###....#..#####.#.###...#.##..#.#######.......#####.###.#########.#.........#..########.##.##........#.##....####.#.#####.########.#.######.....#.#.##.##.####.###.#######.#.......#.#.##.##.#..##.##..#.#.####.##.######.####.#.#.#.#####.####.#.##.#...###.##...######.#####.###...##.##........##...#..##.##.#....#####.#....#
#.##...###.##...#.#...#.#.......#.##.####.##................##.#.####.####.######.........##.#..###........#.#.#.######.##########.###.#.#####..##..##.#.....##.###.##.#....#....##.#...####...#####.###############.###..##.##..#.##......#.##.##..#..#.#.#.###...#.###.##.#.##.#.#....#.#.......#..##.#######.##......#..#...#.#.#.#.#.######.#.#.##.##.######...#.#.........#..........###..###.#.##.###..#.##.##....#.###.#.#.#.#.##.....#.##..####.#.#.#....#.###.####..###.##.#.##.#.#.#.#.####...###....####..#.#..#.###########.##.###.#...##..#.......#...##.#.##.#.##...#.##.##..#.########.#..##.#.##.#.##.#..#..#.##########.##.######.#..####.######.##...##.####.#.####.#..#..#.##...##.#####....#...##.................#...##...#.#....#.#....#####........##....##.##...###.#.##..##.##.##..#..##.###.....#.#.##
#.##.#..######.##.###.#.#####.#.......##..#######.###.#.#.#.......#....##.........#.#.##.######.....######.#.#####.#.#..#.#...####..######.#.##.###.##.###.#.#...####..####.###.##....#..##..###......##....###.......###.....##.###..####.#.##..##.##.......#.#.#.##########.#..#.###.######.###.#.###.#........######.######...#.#.#.#.#......#.#..###..##.....###.##.####.#.##.#.##.##..##.###..#.##.#.#.####...###.#####..#.#.#.#..###.###..##..###.########.#####.#....##.####...##.#####......###...########..##.##.###.##.#.#..###..##....###..##.#.###...######..########......###...##.......##.#..#......##.#####..............####.#########.##........##.#....#....#..##..##.##.#..##.##.....###.##################.##.##...#..##.##.####.#.#.#.###.#..#.##.#.###.###..##.#.###.#..##.##.##..##.##.##..###.#.##.#..#
#######..##.#..#..#.#.#.##....###.###.##.##.......##..###.##.##.#...##.#########.##.###...##..##.#.##......#.##.##.#.##.....#....#.##.#.#........##......#.#.##.##.###..........#..#.###.###..#######....##..#..#####.#.#####.##...######....##.##...#######.....###...##.##..##.#.##..#.#.##.#######.###############...##...#.#####.########.#.#.##..##.#######...######....####.####.#..######..##.#..#...#.######...#.....##.#.#.#.#######..##..##...#........##....####..#.#....#..#.##.#..###.##.######.....##..#.#..#..........#####..##.#.#######.#.####.###.....##..#.....#.##.#...########.#.###########.###.########.#####.#.#.#.#...#..#.#...#####.#.#######.###.##.######.##.#..#.##..##.###.#...##......#####......#..####.##.##.####.#..#.###.#.....##.##.#.#.....##..###.#...#.##..##..#.##...###..##.######.##.#
#..##.##....##.##..........####...###.###########.###..#####.####.#.##.#.........#..##..#..##..#####..###.####..........#.#.##.#...##.#.####.###.#######...###..#......#.##.#.#.##.#.#.....##..##.....#.####.######......##....#.###.##.##.#..#.##.##########.##.#####.....##....#.#..##......#.#..##...##.#.###.#....#..###......#####.#.##..#.#####.##.#..##...#####.#..#.##....#....##.##.....##..##.###.#...############..#.#.#.#.#.......####..##.######.##....####....##...#.###........####.#...#.#.#####....##.##.#.#.######.##.#..#######..##.#####.####.##.######...#.#.#.##.#.#.##.#.....#.#..................#.###.#########.#.###.##.#.###....########......####...###.###..##.#..#######.....#..##.#.#.......####.##..###..######.#....##.#########..###..#.#.#.###..##...##.##.###.##.######.#####.....##....##.#
##..#.#####....#..##.#.##.##....#...#.#....#.######.##.#.....#.####.#..######.##.#.####.#.####.##....####....#######.#.##.#.######....#.#..#####...##.########.####.#.#####.#.#.##.#####.#####.#..#.#.####........######....##..........#####.#.##..##.....#####.#...#####....##.....####.#.###.##.##.###........#######.....#.#.##..........##....########....#..##.....##..######.##.##.##.#.##########...###....##.#.#....####.###########.#..##.#####.#...#..#.#######.#########.#######.##......#.......####.#.##.#..#.###...........##..#.##.##...#.##.#....######.#..###.######.######.###.##########.####.#.####.#.....#...........#.#.##.#.#.####.#.##...#####.##....###....###.##.#######.######.############.#.#####.#..##...####.##.##.#..#.#..#.#....#####.#.#.######..##.##..##.#...##...##......##.###.##.#.###.#
###.........##.##.#######..##.#.##.#######.......#.....###.#.#..###.####.......#.#..##..#.#.....##.###....#.##.......###..#.#.#.#####.#...##...###........##.###.####..##...#####..##....##.##.########....##.#.#........#.##..#.#.#.##.#.#.#.#.##.####.##.#.#.#####.##################.######.....#......#.#.##..#.##.##.##.#.#.#..######.#..##.###.#.##.##.#.#####.#.#.#..###.....####..#..#.##.#.##.######...##.##.#.##.#....#######.########....#.#.....#.#.####.......##.###.....##########.#.#.##.#.##...#..#..#.##.#.##..#.###.#.#..##......####......####..##......###..##.....##.##...#..###..##..####.#.####.#.####.#####.####.#.#.#.#..............###.#......###.##...##.....##.##....#...#......##.#.#.#####.##....##.##.#.##...#.....#.#####.#...##.....#####.##..#..##...##..###.#..##.##..#.#.##....#########..#
#.####.#.##.#.....#.......##..########.#.#####.#.####.#########.#.########.##.#####..##.######.######..#.##.##########...####...#.#...###.####.#.########.##.##....#..####.###.##.######.#..#..#.#.#.#######..########.###.#..##.#.#.#..............#.####......#.#..#.......#.###.##.#.##.#.#####...####.#######.........##.#.#.##.#......#.#####.#...##.##.#####.#.#.####.##..#.#..##..###.#.##.........##..#.#..........#.####...#........#.######.####.##.#..#####.##.##......#.#.......#.#..#.#.#..#.#..#...##.##.####.#..######.#.##########.#.##.####.#..##.#..#.##.#...##..#.###.....#...##.##.##.###.....##...........###..##...#.....##.#.#.#.##.##.......##.#.##..#..########..###..##...#...##.###.........#...##.#.#..#########...###.####..#.###.#..#.####....###...####.##..##...#.##..###.#.#.###.#..#.###....##
#.####.#######.##.#.###.#########.#.#..#.###...#......#..##.#.#.#.##.......##.##..#######....#.##.#.##.#.#...##.###....###.####.....#..#...#.#................####...##..####...####.#...##.##.....#.#.#.#...###.......###.##.######.##.##.#.#####.##.##.######...##.####.##..........#.#......##..####...#..#..#.#.####.##..#.#.#########.#.##.#....#..#..#.#...#...#.##....##.#.##.##.##.###..##.######....#####.#######.#....###.#####.##....##.........#..####.#...#..##.#.##.#.##.#.##.....##.###.#########.##.####.##.#.##......######.....#.#.#####...##......#####.##.##########.#.#.###.#.........#..##.####.#.###.####.####..#.##.##....##########..###.###..#.#..######.......###..####.##.#.##.##..##.####.###.#..####..##.#.#####.###....##.......####....##.#.#...#..##...##.##.#.#.##.##...#.#..##.##...#.#######
#....####.#.....#####...##..###...#.##...#...###.#.##.##.............#.#.#..#####.##.#.#####...........#.#####......##.#.....#####.###...#.....#.##.#.##.#.#.##....#....###...###......#....######.#.#...#.####..#.#.#.#...##.#.#.#####.#..####....##.##..##.#..#.#...#....###.######.....##.#....##....#.##.##...#.#....##.##.#..##..###..#.#..####.##...######...#.######.#####..###..#..###.##..#......#.##.#.###.......#.#.##.........#####..##############......#.##.##.###########..##.##..#.#...##.........#.#.#.....#.######.##....#####......###..#..##.#.#.#.#....###.###.#..#####.#...#########...##..##...###...#.........####..##.#.###.#.#.###.##...#...##.#.##......##.####.####....#..#..####.##..##...########....##....#...#.#...##.###.#.##.####.#.##..###.#.##.##.#.##..#####.#...##.##.##.##.##.#.........#
#.##..#.#.#####.##....###..##.###.#.####...####..#.#..#..#######.#.#.#.###.##........#...####.#.#.###.##.##....#.#.###.#.#.#...#...#.##.#####.##.##.########.#######.####.###...###########.#.#.##.#.###.####.######.#####.####...#.##..#.###.####.##....##....##.###...#.##...##.....#.#.#..##.#..####.#.#..##########.##..####.####.....##.##......##.#..##.###.##.##......##...########......####.####.####.....###.##.##.#..####.##.#.#.###.##.########.....####.#.#...#.#...####....###.##.##.#.#.###.#.#.#.####...#.#.###.#.....####...##..#.##.....###....#.#.#...####...#.#.##.##.#########.#######.####..##.##...#.##.#.######.###.##.#.##..........####.###.##.#..####.#.#..#....###..##.#.######.#.#..#####.#.##.#####.####.#.###...#.#..#.#...#.#..#....#.#..######..#.#..#.##.###..###.#.##..####.##.##.##.#.####.#
#####...........###.#####.##...........#.#####..##.########......#.#.#.##...########.#.###.####.#.#....######.##.###.#########...###.##.#.....#...####.##.##..........##....#.#####.#.#.##...........##...#.#.....#...#.##.#.####.#..####.#....##...####..######......###..###.#..###.#.####.##.##.#..######.....#..###..##..##..##...###..####.#.##.#..##........##.#..#.#.##..#....##....#.#.##....##...##...##.##...##.##.#.############.................#.#.#....####.##.###..#.##.#.#...#...#.###.#...###.###.########.#...##.#.######.####.#.#..##.######.##.###.#.##.###.............##.##.#.........#.#..########.#.#..####..........#####..####.###..##..###########....#######.#.....##..#.#.###....#.##.................#.###.##..#.###.###############.#####.#......##.##.#.#..#...######..#.##....##.##.#..#...##.#
#..#..##.#.#.####.###........##.##.#.#...#.....###.#......####.#.#.###..##.##..............#.#..#.####.##.....####...#.........#####.#..#.##.##.###........#.#.#.##.#######...#.#..........##.##.#.#..###.....###...###..###...#....##.######.##..#..#.#.##.#.#..#.##.##..####.##.###.###....#..#####..#.#.#####...##...####.##.#############...#.##.#.#####.##.#.###########..###.#..##.#.#.#.#..##.###.####.##.....#.##..######..###.#.##########.##.#.####.#########...##..###......####.###.##.##..###.#....##...#......###....###......#.#..#.#.#####.#.#...#######.#....###.##.#.#.##.........######.##...##.#..#...#.##.##.#############.#####.#..####..####.....#.##..##...##....#.#.#..##.###.#...#.##.###.#.#.#.##.##.#.##.##.....####...#.#.....#.##......##..##.##.##..##.#.##...###..#...##..##.#.##.##.#.#########
##...#########........#.#.##..#.#..#.######.####.########...####.#####.#####..##.##.##.##.##.######....###.####.####.######.##.##......##..###..##..######...#.#.#####.#.####.#.##.##.#.#.###########..###########.##.##..####.####..#.#.##......###...#.##.#.##.#.##.###.#....#..#...##..#.###.#.#.##.....###...#....#....########...........#.#.##.###.....#..#..###........##...#.#####.#.#.#.##..#...#....#..#.#.###..#####.#.##.#...............########.#.........#.#..##.##.##.###.###.#..#..########.##.##.#...#.#.##...##.########.....####.##......##.##.......##.#..#..#..#.#..###########.......##.###.##.##########.........#.##.........####..##.######.#......###.#.###.#.#####.##..###.###.###..#.###.#.#..###..####.#..##.#####.#...##.##...###.##.####.#..##.#####..#.#..#...##...#.##.###.#..#.##.#.........#
###.##.###...##############..#####.######.######..##.#.####......##....##....###.#..#..##......#.#..#.##.###.##...##.#.###..#..###.###.######..#######.....#.#.#..###....#.......#..########.##.#.#.##.#.####...#####.###.#.......##...#.#..####.##..#......#.##.###...##.##.#######.####.#.#.###.#.###.#.##.######.###.######.#.#..#.#.#.#.#.#.#.#..##########.#.##.#####.##.##.#.###.#...###.#..######.####.##.#.#...##.##.#....##.#.#.#.#.##.#.#.###.....#####.##.##.#.####.....##.##...#....##.####......#...#.##.##############.##.#.##.##.#.....######.##.######.#.#####...##.#######.#....#.####.#.####.##...#.#.#####.#######.##......#.##.##..####....#......##.#.#.#...#.#...####....##.##...###...##.#.....#.##.########....##...##...#.#.#######......#.##.###.##....##..#####.#.#..##.##.#..#.#.#.##.##.#.#.#######
##..#..#.##.##.##.#.##......##...####............##.....#.###.#.####.#..######.#######.#..####...#######.###..###.#....#.#.###..####.....###..##.#.#.###.#.#.######.####.#######.#####.#.#.#................###.#.#.....#.#######.####.....###....##.#.#.##......#####.#..#..#...#...##...#.#..#....#.###.#....###..##....##.......######.#.#.#.#.####..........#.##....####..##.####..#######.#.##......##...#######.##..#..##.#....##########.#.###...#.#..##.###..###########.#.##.#..#...##.#####.####.#.##.####..#......#.#.............##.##.#.##..........##....###.#.#.######.#.#.#.####........#.#.....###.....#.#.#...##########.#.########.##.##.#.##.#.##..###.#.#.#.#.#.#.##.##.#.#..####.....#.#..#.#.#.######........##.##.#..###.#.###.##.#####.#.####.##...##.####.####.#.#.#.##..##.##...###.##..#.#.#.......#
#..###......#..........#.#######..#.###.#.######.######.#.########...##.#...#...##.#...#####...###..##.#.#.#.##.#.####.#.###.#.##.###.####.####.......########..#...##............###....#.##.#.###########.....#...###....#.#.........#.#.##..#.##..#.#.###.#.###.#.###########.#.#.##.#.####.##.#....#..##.#.....####.##########..##.####.###.###....#.##.##.##.###.#......#####....##.......#.############.#.####...#####....##.#..#.#.#.#.#.######.#####.....#####.#.##..#.###..#.##.######..##....##..#.##..###########...######.###.##..#.##########.#.#.##########......###.#....#...#.#######.###.####.####.#.#...#.###.#...###.####..###.#.#.......###..#.#####...#.#.#.###.#.##....#.##..#######.#.#.##.#.#.###.#..######.##.##.##.#...#.#............#..#.#....#.#.....#..##....###.#..######.#...#..##.#.#.##.####.#
####.######...###.#.#.######.#.##.......#.#...#...##.#....#..#.#.##########...#....#######.###.#.#.##..#......#...#.##.#..##.####.#...####.#.#######.##.#.#.###.###..#######.###.##.####.#..#.###..#...##.#####.##.##...##.....#.##.##.#.#..####..##.#####.######.....##.##.##.....########.......####.##....##.#.###...##..#......##....##.##..####.#.###...#.#..#.###.#.#.###..####.######.###..##......###.#..#.#######.##########...........#.......#####.##.#.##.....##...##..#######......######....##.##.##.#.........#........#...##.####.#.#.#.####.####.#.#...########...####.###....###....#####....##...#####.....#.###.#....###.##.....#.#.########.###.#.##.##.###########..#.########.##....#####..###.#.....##......#..##.##.#.#.############.####.#...##.#.###.###.####.#..##.##...##...#.###.##..#.#.##....#.#
#.#.........###...#.###...........####.##.###.###....####.##...#.#.##.##..########.#.###.....#.#.#.###.##.###.#.#......##.##..##....#.#.......#..#......#.#.#.#.#.##.#.##....##.....#......#######...#....#......####.###..#.#.####.##.#.##.#....##..#.....#####..##.##........#.#...##..####.###.#.....###.#####.#.###..##...##.#######.....##.#.########.#.####.#.....###.....##......##.#.############.#...##............#.##.##.#.#.#.####.###.#.####.#.####......##.#####....##.##.######.###.....##.#######..##.#.#######.##.########....##.....#.#....##.....###.#.#.#.####..#...######.#.######.....##..###.###...#.#....#..###.##.######.#...#.##....######......#..#.....##.#######...###...##.#..##...#############.#.#.###.##.#..###.##...#.#.##.....#####.##.###....##.#.#..##.#..#..###..###...#.###.#.#.##.#.####
#...####.######.###.##..#.#.###############.....##.#......####...#.#..###...##.......#.#####.....#.#...######.########.....##.#########.#.#.#.##.###.##............#.#.#######..###.######.#.##.#..######...##.#..#.####..####.#....###########.####.#####.#.#.####...##.####.##.##.####.#.#..#########.....#.......##..#####.#..##...####.#..###.#.#......#..#.######.#####.########.#..#.###.##....#.#..#.########.#.#.##...........#.#.###..##..###.......#...######..#.#.####.##.............########..#######..#####.......#..#...#####.#.###.##.....######.##............#.##...#..........##...###############.##########.##.#.#.##..#.#.#.###.#..####.#.#....##.#.##.##.##.....##..##.#.....#....#.##..###.............#.###....#.##.##..#..#........#.#..##...##..###.###....##..#######.##..##...###..##.#.#.##.######
###.##...#......#....#.##.#.#.........##.#####.##########..#####...##.#.###..#######....##.####.##.###.#.##....##.###..#.#..#.#.###..########........###.#######.#......#.#.#####........#.#.##.######.##.#.#####....##..##....#.##....###.##...##...###.........####....#....##.##.#.##.#...##..#.##...###.####.######.##....##....###.#..#####......##.#.#.##..#.##..##......#.#....##....##.#####...##.....##.....######.#.###.#.#.#.###...##############.##.##...###.#.#..##...###.#.##.#.#.##........##.##.###.##.#..#######.####....##.###....##.#.##......####.########...###############.###.##..###..###..##.####.##...........###.......##..#.##........#.###.#.##.#########.###.##.#########.##..##.#...##########.##.##..#.##.#..######.#####.#.####.##..#.##.##.#...##.#.#..####......##..###...##..###.#.#...#.#.#
#...####.#.##.#.###.###############.#....#.#...#.#####....##..####.##.#.#.#.##.....####.##.###..##.#......##.#......#######.#...#.##....##.#..######.#...##......#.##.#......#.###.#####..................###...##.#....######.####.#.##......#..##.##...####.##......#.#####..#.####.#..##.####......#.##...##....##...#####.###.#.#.....#####..##.###..#.#..##......#####.#.##...#.######.....##.###.#########.#.####.#...#.#...###.#..##.#.#......#..........##.#.......##....#...#####..########.#.##.#.........#..##.#....####.###.#....##..#.###.#..####.#.#.######......#...#.#.#..........#...##...##.#.##....#....############..####.#.####.##.##.#.#.##.###...#.#..#..........#...###..........###########.....###..#...##.#..#.##.#......###...######..##.###..##...######.##.##...###.######...#####...#####.#.....#
#.#.#....#.#..#.##..##...##..####...####.#...#.....#.####..##..#.#..#.#.#.#.####.#......#..#.##.##.##.##.##..#.##.#..##.##..###...##.####....##......###..##.###.###########....#######..##.######.#.##.#######....###.##....####...#..####.#.#.########.#....#..###.##..##...##.#.##.##.#####.#.##.#.#.#..###..#.#####.#..##.#...#######.#.....#####...##.#.####.#.#...##..##########.#....###....#.#.#.###.##..#.#......#######.######..###.#.####.####.##.#.###########.#..##.##.##.....##..#.#...#..#.###.#####.##..###.##...#......###.##..##.##..##.#....#.#......####.#.#.#.......#.######.###..##.###.#..####.####..#.###...#.##.#.#######...############.##..########.##.#####.###.##..##.####.##..#.##..######.#.##.##.##..#.##.##.#.##.#.#...#..#.#...###.#...##..#.....##.##..##.##...##.....#..#.###.##.....#.#.###
#.#.#.#.#####.#.#..#####..##....#.#.####.##.######...##.##.###.#.#.##.#.#.#......######.##...##.#..#####..##########.....##.....#.....#.##.#..###########..#########.#.###.###.##.##....###.##.....#######...##.##.#....##.#..##..#.#.##.##.###.##.##.#..##.#######...######.#####....##.........##.#.#.#.##...##.#.....##....#.#.##.#.########.##.####.##.#####..###.#####.##..###.##.###.#####.#..............##.#.##.####.#.##.#..#.##.###.####........#..#.##.#..##.##...##...###..#######.....#.#.##########.#.#..##...##.#...##.###...#..##..#..#######.##.###.##......#####.##########.###.#.##.#..##....##.#..#..##...#.###......#.#.#.#...#...##...#.....######.#.########............##..#.....##....##.#.##.#......##.##.##.################.#.##.###...#.#.#..##.#.###.##.##.##..#..#..##.#.###....####..##.##.#...#
#.#.###.#.....#.#####.###..####...#.#..#.####.#....#........#.......#.#.#.########......####....#.##.#.##....##.########.###.#.#####.##..######.##.###..######.#.....#.....#...#..##.#.##...#########....###.#..##.#.#.######....######......##.#.......######.##...#..###.#..#.#####.#..#.#.#.#.##.#######..#..#.#.##.####.#.#.###......#.#######......##...##..##....##....##.........##.#.....##.#.#.#.#.#.#.##.###..##...#....##...####.####.########.#.##.#..##.#.....#..##.###..##.......#.#.#####.##.##....#.##..#########.##...###.###..##.##.#.......####...#..#.##.##.#####....................######..#.##.#.#####.#.##..####.........#####.####.####.##..#.#.......#.###.##.#.#.##.###############.##.#.#....#.#.##...####.#.##.#.##.#.#....#.##.....###.#.##.##.#.#####...#####.#####.#..#...##.###.##.##..#..#.#.#
###.#...###.#######.#.#.##......#.####...#.#..###########.#...#####...#...#.#.####.####....####...........####....##.........###......##.##.#........#.###.#.....###.#####.###.##.###########.##.##.####.......##..#.#..##....#.##.#.#####.#.####.#.#.###..#......#.####.....##..##.....####.#.#..####.#.#####.####.####.#..#.#.#####.##...........###.##..###..####.#..#.####..#######....##.#.#########.#####.#....##..###.####..##.##.#...##..##.#..#..#######......#.###.##....########.#.##.#.#........#..##....##.#.##.#.....###...###...##########.#.#.#....#.##.#..###...##.###.###.#.#.#.#.##.#...##...##.#..#...##.....####....##.##.#.#..####.#........##.....####.##.....##.###.#..#.#...#..........#.#...#.##.########....#....#.#..#...#.##..##.#.##...#.##.####.....##.###....####..##.##.##.......#.##.##.##.###
######.####.#..##.......#############..#.....####.##.#....#.#.#...###.##.##......###.#####......##.####.#...#####..######.##.######.#.....#.####.#.#.....#.#######...####...#..##.#.#.#....#...#.#...###.#######..##.##..####.###..........###.##.########...#.##.#....####.####..##.##..##..#.##.#............#.####......##.###...####.##.#.#.#.##...##.###..#####.#.##.#..#####......##.##.#.#.##.##...#.....#.#.########......##..#....#.#..###.##.#####.######.##.###....###.##........#.#..#.##.#.###...######.##.#.##.##.#.####.#######.#.#..##.######.##.#.#.##.##.#####........#########.#.######..###.#..##.#.###..##.##.##.##.#...###.##.#.#....#.##.#.#..#.###....#..#.#.##.##..##.#.###.##########...#####.##.##.###.###.#####.#.##...###.#..###.#..##.##.#....##.#.#.#....#.#.##....##..##.###.##.#.#.#..##.##..##
#.#######.####..#######.#.#..#.#.##.####.#.#..#...#....#.########.#.#.##..#.####.##........#.#.###..##..#.###.#.#.##....######.#....##.##.#..###########.......#####......#.##..#.#.#.####...#.....#...##########..####.##......####.#.#.####...####.##.##.#.######.####..###..##.##..##.##.##.##.##.#.##.#.##.....####.##.#..##..#.......###.#.#.####.#..#.####.##..#..####.#.##..#.#.##...#####.#...###.#.###.#.#.##.###...#.##.###.######.##.#.#.#....##..#.######..#####.###...########.#.##.######.#...#.##.##.............####...#.........##.#....#.#######.#.##.####...###.#.#.##.##.#.######......##.#.#.##.....#..###.......####.#.#...#......#.##.#..####.########...####.##..####..#.......##.#.#####.......#..##......#..#.......#..#.#...##.#...##..#.#..#.#.##..#.#.##.#.########.####.#...##.#########.##..##..#
#.#.#.#.#..##..##.##......##.#.#.##.#..######.###...#.##.##...........##.##.#.....######.#####.##..##..##.##....#..####.###.#....##.#..#....##.##.#.##.##.####.......#.####.###...#.#.#....####.#.####.###.....##.####..####.#.###...#.#.##.###.##...#.....####........##..###.......##...#.#..#..##.########..###.#....##.#.##..####.##.##...#####.##.#.##.#.#.....##.###.#......####.##.#.##.##.#.#.....###...#.###......######..##..##.#.........####..##.#..#.####.#.......##.##........###...##.######.#.##....#.####.#.######..#.####.##.#.##...##....###.##.#.####.####.....###.#..............#.##.#.......#####.####...#.##.##....#####.####.###.##.##..##..###.#..###.##....######..######.#..#...#.##..###.#.##.#######...########...######..#.##.###.#######.###..##.###..#...##.....#....#.#.##...###.##..##.##..##
#.#.#.#.##..##....#####.#.........#.#.###.##......###..######.##.#.##.##.#######.##....###..#..##.###.##.....##...###.#.#.#.#############.#...............#....#####.###........#.......##.#....###........#.#....##...##....####..#.#.#.#.........#...#.#.##.##.#.#.#####.....#.#.#.#..#########.#####.##.###...#.####..#####..##....#...###.##.......###......##.######....####.#.....#.###...#...###.#..####.#####.##.####.#...##..##..####.##.#...##.##..##......#.###.#.##########.##.###..#.##...##...#.#..#.#####...#..###.#.##.#.....###.##.#######........###.##...######.#...#.#.#.##.###.###.##.######.##..........#.#.##..##.#.##....#......####.##.##..##.#...##...#..#.####....##....####.###.#.#..##...#.##.#.#########.##.##..#.#.#....####..##....##......##..###...##.#.####.#.#.##.###.##.#..#...##.####..###
#...#......####.#..#.########.#.#.#.#.#....#############....###..#.#.......#.#....####..###.##.#....#####.##..##.###.........####.##.##.##########.####.########.##..##..######.#.#.###.##.###.#######.##.#######.##.#.####.##....##.#.####.#.#.#.###.##.#.#.....#.#..##.###.#.#.########..#.#....#.#..........############.###..##.#####.#....###########.#.##..######.####.#....####.##.###.#...###...#.##.####...######......#####....#######..###....###....####.#.#...#########.##.####.#.####..#....#.#.####.##....#.#.##.....####.#.#..#######.......#.###.##....###..####..##.######.#..##..###.#..##.#......#######.##.#.#..##########.##########.########.#..###....#.#.####..###.######.##.#.#.......#####.#.####.................####...#.######..##.#..#.#.##..#.###..#.##.###....#.#.#..##..##.#.##.####..###.##.#
#.#...##.#.#..####...#.#.##...###.#.#.####.#.###.#...#.####.#############.##.####....##........###.###.########......##.#.##....#.##..#.#....#.##..#....##.####.....####.#......#.#.#...##.#...##......#..#.......#..#.#.#...#.##..#.#.##...###.#.#.#.##.###.#.###.##.##.##..#.#.##.#.####.#.######.###.##.###..##.......#...#####..#.....##.####..........#.##.##..##.......#.##.#.....###.#####.#...#.#.#....##.#..##.######.##.....##.....#...#######..#..##.#......##.####.##.#..####.#..###.########.#####....#..##.#.#.#..###..##..######.#############.#...#####.####......#####......########.####..#...######.#.#####..#.##...##.......##...#.#.#.###.#.#####..###.#######.###...###.#...........#.#.#.#.....#...####.#.#########.#...####.#.#.#....###.##.#.#.##.##.##..##.##.#####.##.###.##..##..#.....##..##......#
#.########...##..###.#......#.#.....#.#.#..#.....###.#.##...#..#.............#..####.#..#.#.##..#####......##...#.##.##########.#..##.#.####.#.######.#.#.......#.###..####.##.##.#####.##.###..##.##.###.####.#.#######...#.#.#..########.###..#.#...#####..#.#...##.#.....######......................##.##########.##.###.#.#.##.#.#.#..#####..#.##.###.#.##..##....####.####..##.#.####.##.#..##.#########.#####.##..##.....##.#.####.##...####....##...###.#.#.#.##..##....#.##..###.#.##.......##.####.########..###.#######..####.#.......##.###.......#.#.#...#.#..###.#.########.##.##........#.##...#.#####.......#..##.#..###..#.#.######.........#....##...##.####.#.##.#.###.##..###.####.##.###.####.#.###.##....#.##........##.##....###...#.##...##.#.#.#...#..#.##..##.#.....##.###.###..##.####.####..##.#.#.#
#######.#..#####.....####.#.#.#####...#.##.#####.#......###.##.######.##.###.#.##.#....##########.#...####..###.#.##.#.#.#.###..##.#..#.#.#..#...######.######.##.#...##....#..##.##.....###...######..##.######.##......#.###.##..##.##.###...#####.##.#.#.#####.##..#.#.#.#.#.#..#.##.#.#.#.#.#.####.#####.###.##.###...#.........#.#.#.##.....#####..##.#.##.######.##....####.#######.#.##...#####.........#.##...##....#.########.##.##.#.##...##.##.#...#####.#..##.###.#....#.##.#.#.#######.##...#.#.#...#....##...#.......##....#.#####.##.#...#.##.########.#.#.###..###.##.....#...##.#.#.#.#.###.####.....###.#...######..#########....###.##.##...##..###...........##.#.#...###.....##....####..##...###.#.###.#####..#.##.#.##.##.#.#####.##..###.##.###.#.#.##.#####.##.##.##..###...#.####...##....##.##..#.#.#
###.....##.###.#####......#####.#####..............##.####.....##.########.....##...####..........###.#####.##..###..#.....#.##.##.##.#...##...###.#.####...#########..####.#.##..#..##.###..#..##....##..#...#####.##.#.#####.#..##.........###.#.###....#..##.#######.###.#.....##.#..#.##########....##...#.#.#..##..#...##.#.##.#.###..###.#..##...##..#.#..#.......######.####.#.#.#.#.######.#######.#.#....##.########.##.##.#.....####.###.##.....#.#.#.....#.##...##.####........#..#.##...####.#.#.###...#.##..#.#.##.#.########.#..........#.###..#..........#.#.##.###..#####.##.##..#####....####.######.##..#.#.####.####.#....#####..#..#...##.####.....#.#####.#......###...###.#.##.##.#....##..#...#.#...#.#..#..#######.##.##.#.#......####...##..##.#.#..#...#.#.##.######.##..#.#.###..#..#.####...##.#.###
#.#####.#........#...##.#.#..#........####.##.#.##.##.##.#####.......#.....#.#....#########.#.###.#...#........###..##.###.........#..#.#....#..##.#..#####.#.##.##.#.##....#..##.##.#..#...###.#..####..##.#.....#..###.....####..#############....#####...##..###.###..#######.##..#.##.#......#...#.#####...#.##....###.##..#.#..#.##..#######..###..##.######.#.#.###....................#..........#..#.##.#....#.##.#...##.#....#.###....#...###.#.##########.########..#....#.#.##...##..###..............#.####.##.###..####.......#.#.#.###.##.#...#########.#......###.##...#####..######.##.##.............#..##.#..##.......#.##.....##...#########....##.##.#.....##.##.##.###.#####.#...#####.####.###.#.########...##.......##.##.######.####...#.##.#####.#.##.#.#....###.......####.#.....##.##....##.##..#...#
#.###.....#.#.##...#.####.##.###.####.##...##.###..##.....##########...#.#.#.#.#####........#.#.....#.######.#...##.#..#...#.#.###.##.#.###.###......##..##......#.....######.##..#..######.#.##########.##.##.##...##...##.####..###.....####.####.......#..##.........##.##.....##.###########...#.####....#......#.##.#..##.####.###..##.......###..##..##.....#.#.#...##.#.##.####.#.###.##########...####..####......#####..#########..##.##.##...#....###.######.###.####.#.######..#..##..###.#.##.####.###.#..#.#....##.##...#############....#######.#.#.....####.#.##.....#...######.##.#..#######.##.##.##.##.#..#.##..#.###....##.##....#...##......#.##..#..#.#.######...............##.####...#..####....###.##...#..##.##.#.##.##.##......#.###.#.#...##...#..###.###.####.#.#.#....#.##.#.##...#.####..##.##.###
#.....#.#.#.#.#..#.###....#......##...#..#.##.####.#..###............#.###########...#.##.######.####.#......#.#.##.#.####.###.#......####..#.##.###..##.####.##...#.#.........#####.###.##.#.....#......##.##.###.#####.##.##.#.##.#####......###..#.#.#.#.#######.#.###...##.#.######.#......##.##.#....#.##.#.##.#.#....##..##...###############...####.##.##.##.#######..###..#....###.....#.###..#####.########.#.##.######..####.#.####...#.#..###.#.##......##..#......#####.#####.##..##.#.#####..#....##..##...##.###..##.#.#.............#.###.####...#######....#.##########.#.#.#.......##....#..#..####..##.##.#..######...#.##..###.#.##.######.#.#####.#.####.#...####.###.##.#.##.##.##...####......##.#....###.#.###.##.#..###..##.###.##.....####.##..#.##...###...##...#.###.#########.##.#.#...###.####....#
##.#.####.#####.##.#...########.####.###.#.#..#....##.#...##.#.##.##.#.#....#.#....###############....###.####.####.###....##..###.##..#.####.####...##..#.....###.#.#.##.#.#.##.....#......#####.###.##..######.#...##..##.#....##.#.###.#.##.#.##.#.#.###.##......#.#...#....#.##.#.#.###.##.....#.###.##.#..#.#..#.####.##.##..#.#.#...#.####.###.##..####.#..##.##......##...###.######.##.......#####...........###......###..........######.############.###..##.#####.###.#...#.######..#.#.##.##.###.###..##..######.##..###########.#.#####.##.......#...#.########.#.##.##.#........####.######.#####.#.#..######.#.##.#.############.###..###......###.....#.##...###.......##.#..###############...##.#.##.##.#.....#.#...#..##...##.#..##...#####...##..##.#.##.#.##..#.#..#.###.......##.....#.#.##.##......##.#.#
#..#.#.#####.##..####.####.......#.###.#.#.#######..###.###..####.##.######.#...#.##........#.#....##.##..#.......########..##.#...###.#.#.#..#.####.###.#########.###.##.#.#..##.#.####.##.#.........#..##...#....#######..##.###..#.....#.#.......###...###..#.##.####.##.##.####.........#####.######.#####.#.#.##.##...##########.###.#.#.........##....####..#.#..####.##.#...####..#######.#.#.......#.#.##.##.#...###.##.#####.##.#..###.####....#.#.####.##.##.###.#.....###.#..##.###.#.#.#.....##..###.####.#.......####...####....###......####.######.....##.##............###########.#.#.#..##..###.##.##.....#.#.....##..............###..#.##.##..###.#..###.##..##.#.##..##.###.##.#.####...#.##.###..####.##.######.##.#..###..#.##..#...##..#..#.##..###..#..#.##.##.#######.######.#.###.#..#.####.#.##..#.#
##.#.#..........###.####.######.##.###.#####.#.....##...#...##....##.#........#.#..########.#...#####.###.####.##..##.#.###.#..#.#.#.....#.##....#.#.#.#.##.###....##...#.#.#.#############.########.###.####...##.#.......##..####...########.##.#...##.##...####...#.###..#..##.#####.##.##......###...#.....###..###..#....##...##.........#.#.###.#####.####.#####.##...#..######.##.........#.###.#.#.#.####..#####.#.......#....##.##......##..##...#.#.#........#.#.#####.#.#.#.##...##...#.#####.##.##....##..#.#####.##.##.##....#.##...#.#.#########.###.##.......#.##.#.#.#######...........##.###.........#####.#.#####.##############.##...##.#...##.#...##.#....##.#..#..##..###.............#.#..###...##.##.##..##....#####..###.#.#..###.##..##.##.#..###..##.##.##.######.......##...#...#.#.##..##..#####.###
#..####.###.###.#...###...#.....##.#....#.#..###.#..##.###.##..##..#########.##.#.##..........#.#.....#.###.....##.#......###########.##....####................##..##.####.#...####.#....#############..#..##.######.##.#..####....#.#..#.#.###..#.#.##.###.###...#.#..########..#.###..########.##...#.##.######.###..###.######....######.####.#....##.....#.....##.####.######....##########.###...#.#.#.##...####...##.#.##...#.##..##.##.#..#######.....########.#.#.#.#.#.#......##.##..#.........#...####.#..####...#.##.##..#.#.#######.#.#.##...#.........#######.#..########......#.##.##.#......#####.#.#..##...#####.#.#...###.#.##....###.#..##.######.##..############.##..#####.######.#.#.#.#.#########.....########.#...##...#.####.##...##..######.##.####..##.####......##.##.#..#.#.#####..######....##...#
#.###.###...#...###.....#...###.##...##.#.##.....#######.#####.#..####..#....##.#.#####.###.#.#.#######.....#.#..####.#.#..##.#.#.#.###..##...#..#####.#.#.####.###.##.##...#.###.#....##..##...........##.##....##....#.####.#####.#.##.........####.####...##..#.#.##...##.####.......####......#..#.#.#..#........####.#..##....####.......##..#.#.#####.#...##.#####.#######.###.##.#...#.########.#####.#..#.##...####.#.#..###..##.########.###.....#.#.....###..#.#.#.#.#.######.......###.#.##.###.#.#....#.##....#......###.#####.#.#...#.#.##.#...##.#.##########.#.##........#################.#.......###.########....#.##.##........#.#######.#####.#.#.#..#####.#.#.###..#####.#####...#.#.###.#.##..#.....##.##........#.#....#.#.##....##.####...##.........##..#.#....##.#.#..##.#.##.#....##.#####.#.##..##.##
####..########.##########.###....#.#.#.......#.####.#.##.##....#.###.##...#.##..###.##..#...#.###.......#.#.#.#.##..######...........#..##..#...##.....#.#.##.....#.######.####.....#.####....#.####.#.##..##.##..###.##.#..........#.###.#.###.##....#.########.#.######.##.#.####.#.#.#..###.##.#.#######.#.####.#.#......####.#.###..#.#.#.##.##.#.#.#...###..#.#.##...............#.###............##....##.#####.###.######..##.#####.#.##...#...#.######.##.#.##.#.........#.#.####.#.#.##..####.#...###.##.##############.#....#.#....#######.#####.########.#.......#.########.######.#.#...#.###########..##.#..###.####....#.######.##.####......#.........##.#.............####....##...#.###.#...#..##...#.#.##.#########.######.###..###.#####....###..#.##.####..##.#.#.#######.##..#.#..#.##.#..##......##.###.##
#....##.#.##.###.......########.##.###.#####.####.#.#.#..#..#.##.#......#.#..##.##.....##.#.#..#######.####.###..##..#.####.##.#.###.##.###.###..##.##.#.######.#####.##...#....###.#.##...##.############.....##.#...#######.#####.#.#...###...##.##.#..........#.##......#.#.#....######.#....###..##.#...#.####.#####.##...######...##.###.##..###.#...#.##..##...######.###.#####.......#####.##.#..####..#####.###....#.#...##..#.###....###.########.#####.........####.##.....#....###..##.#..#.###...#########.#.#.#.#.#.####.#.####.#.##.####..#####.#.#...##.####.#.#........#..........#.....###.......##....##........##...#.##.#.#####.##.#.#.#.#.#.############.####.#####.####.#..###.#######.######.##.#.####..#..#.####.###...##.#.....##..##...##.#.##....##.##.###.##.......##.###.##.##.#.####.#.#..#.##...#
####.##..........#####.#.##.##...###...#.....#......#.##...##.####.#.####.#####..##.#.##..#.##.#.......##...##..####....#...#..#.#....###.####..#####..#.##..##.##.##....#.####.##..#..##.#######...#.#....##.#######....###..#.....########..#.##.#..##.##.##.#.#.###.###.......##.##.......##.#...##....#.###.....##.########.#.####..###....####...###.#..##.##.###.#....##..##....#.#.#####.###############.....######.....#..####.....##......##.......#.#..#.#####.##...###.##...#.##...###.##...#...###......#..............................##..##.#...#...#.....##..#.###.#.#.##.##.###.#.###.#.....##.##.##.#.#######.#.##..#........#........#.#.#.###.#........#...######...#.##.....####.#.###.#...##....#####.###.##............###..##.#.####.#..######.##.#######..##...##.#.#.###.#...##..#.#.#....#.#.####..#.#
#.....#######.#####............###...###.#######.##......#..###....###....###...##..#####.#.#####.##.#.#..#######.#..##...#.##.######......#.##.#.##..##.###....#...##########...###########.##.###.#.#.#.##...##..##.#.##...###.#.###.####..##.##.##.#..#####.#.###.###...####.##...##.#.#.######.#####.#####..#.###...##.####........#####.#.##...###...##.#...###...########.#..##.######........####....#.#####.#.#....###.##..###############..#####.#.....####.....##.#.#...###.##.#..#...#####.###.#########.###.#.#.#.#.#.##.##.#.#.######.###..#.###...#####.#####.#.#####################...###.#..###..##.###.#.#.#.#.#..####.##.#.##.#.#.###.#.#######.#.####...#.#......#......###.##...#.#.....#######.#.........#..#.#.####.#...##.#..#.#.#####.##.#...##..#.#.###.##.#..#####...#####.##.##.######.###....##.#.#
#.###.#.###.#####.####.#.#.#.#.##############.##########.##.#...#.#########.#.#.###.##....#.#.....##########...#....###.#.#..####.#...####.#.......##.#..#.####.###.....#.##.#####.#.##.###.............#.##.#..##....######.#.#####........##..##.#####.#.....#.#.......#.##...####..#####.#.......##...#.#...##.#####.........#.#.#.##.....#.##.###...#.######.####.##.#.##.##########.#.###.#.##..#.####.#.#.#.#.#.#######...#.##..#####.#.##...##.#.############.###.##.#.#####...#..##.##.###....##..##............#.#####.##############......###...##..#.##.##.#.....#.#..##..#.##.##........###...#.##...##...##.......#.##.#....##.#.#..#.#...###.###..####.##.###.#.#.#########.#..##..###.....#.#......######.#.###...##.###....##.###.##.#....##......###.###.......####.##...##..#.##.....#.##.#.......####.##..###
####....#.#.##.......###########..#.##.##.................#########...........#...###..#.##.#.#.###.#.#..#.###.#.####.######.###..##.##......##.#.##..##.#.......######.#.##.####.....#.#.###.######.#.##..###.####.#.#....###.###...#.#.##..##.#...##.###############.###..##.##....##..#..##.##.######.#...#.####.#.###.##.##.###.#..##.##.#.##.#...#.#.#......#.........#..#####.###........#.###....................#.#...#.#..##............#..#....##......#....##..#########.#.#.######...####..##.#####.#.#.#.#.###.....#.....####.#.#####.##.##.##..####.....#.#.###.##..##.........#.#.####...#.#..###.#..#..#.#####.###..#.##.##.#.#######.##...#.##..##..#......#.#######.#...####..######.#.#.###.#.##.#.########.#.##...##.#.#....#######.#####.#.###...#...###.###.....#####..##.##.#.#.#.##.#.#.#.#....#.#..####
##...##......###.#.#..#.#.#.#.###.........#.#.#.#.###.#.####.###.######.#.##.##.#.##..##..########....##....##.####....#######.##....##.###.###.####.######.###.##....#.........#####.#.......#......#..##..#####.###.####..##.....###.#..##..####.###.....####.#.######...##..#..#.####.##.#..#....#.#####.####.#........##.#..#...#.##..#..#.##.#.#.#.#.####.#.#.#######.#.##.#.......#.####.###.##.#.#.##.########.#.....#.######..#######.#####...##.#######.##.#..#.##.........#.###.##...###....##..#.#########.#############.#...#..........#......##.#....#.#############....#.##.#.#######...#####.##...#.###.#####...##..#####.##.###........###.#....#######.#.#.#.#.........#.#....##...#..#.###...####...#.#......#.##.####.####.#....##.....##..#.####.####...#...####.##.....##...###.######.#.###.#.#.##.##....#
#..###..###.##.######.............##.##.#.#.#.#####...#.###........######.#...#.###..###.##..#.#.##.#....##.....#.####..#.#.#...###.##########...#.####.#....##..####...#######.##......########.#.########..###..#########.#..##.##...#.######....##..#.#...............#..##.##.#.#.......#.###.###.......##.....##.#.#..########.#..##.##.#.#..#.#.#.####...#########......#.##.######.#....##...###.###..#........###.#.#....###.##.#########...#.#..#.#.....#..#.##..###.##.##.###......#..####.##..##.#.##.#.##.###.##.###.######...#.###.##...###.#############.#....###.####.###..#.#.#.#...#.##....####.#..######...#.###.##....############.##...##.#..#.########.#.##.#.###.#######..###...##.#...#.#....#.....#.##.#.##....####...##.#..##.#.######....#.#....#.###.###...##.##..##.####....##..#.##..###..#.###.#.#
#.#######....#.####.###.##.#.######..##.#.###.##.####.#...####.#.#.....####.##########.#####........######..#.#.#.#.###.......#.....####.......#...##.....#.##..##.####.##.......############....#.#........##...##.#.........#######.##.#......#.####.#.##.#######.##.#.##.####..#.####.####.#.....##.##.#.#..##.###.#.##.##.#######.##..##.#.#.##.#.#.###..#######...######.#.#####.....####..#.#.###.#...##.##.#.#.#...#.#.####.###.......##.###.#.##.#.###.#...#####.##########..#####.#.##..##...##.#............#...#........#....#####...#..#.##.....#.####.#...####.....##.....##.###.#.###.#.###.###....####.##.#######.#..##.#.#............##########...#.#.#.####.#..###...#...#...##...#.##.#.###.##.###.#.#.#.##.#..##.###....###..##.##.#.##.....#.#####.#.#...#...#.#.#..##.#####....####..##.###...#.####...###
#.#....###.#.....#......#..####.##..#####.#...#.......#.###....#######......##.##.#....###.#####.##.#######.###.#.#.#...####.######..##..#####.#.######.#.#.#####.......#..#.###.......##...###.##.##.#.#.#.##.#.#..#####.###..#.#....#..##.###.#....###.#####......##.#.##....####.##.###....##.#.##############.##..######....#.#....##.#..###..###.###.######.#.###...###.....##.##########.##.#.#...###.##.#..#.#####.#.#.##.#.##..##.##.##.#######......#####.##....##.##.##...##.#####.###..##########.####.##.##.#...######.###.###.##.#.###########...#....##.##.######.#..#.###..#.......###.#...#...#.##............#....########.#######.#.#.#.#.##...###..........##.#...#.#.#...#.#..#.######...###..#...#.###.#..##.#....#.##...##.##.###########.#...#.#.###.####.####.##.#.....##.##...##.#####...#.#.#.#..#...#
######..########.#########.##....##.##....##.####.#.#.##########.......##.#.##....####.......###.####.....###.......###.#....#......########...####..####.###.##..##.#########.#######....#.....#..#..#.###..###.##.......#...##...##.#.#####...###.##...#...###.#.#####.#..####.##.#..##..##..#.#.#.....##.......##.##..###.##.....#.######..##########...#.......####.##.#####.............######...#.#...#..##.####.####.#.#....#..###.#.......##.#..##.#..#.....#.#.##........#.#..........######.#.#....##...#...###.###...#......#....#####...##.##.###.####................##.#...##.#.###.....##.##.#.#..############...##.####.#.###..#....#.#........#.....###.####..#####.#.#####.#.#.##..##.##.######.#.#.####..#.##..##.#####..#.##.#...##.##.###..#.#.#....##..##.....###..##.#.##..#..#..#.....###.#.#...##.##.##
###....##.#.......##.###.###..##....#..##.#..##...#.#.#...#.#.#..##.##.#..#.#..##.##.####.##.....#....#.#..####.#.#..#############.##...##...#....##.#.#..##...##.######.##.##.#.##....#.##.#.####.#.##.##..##......#.#.####.##..#.#..#...##..###...#..#####...###.##....##.#.......##..#.##..####.#####....####.##...##......#####.#.####.##.#........###.##.#.##....#.#........#.#.#.#.#.#..##.#..#.#.#.####.#####...#.#########.####.########.##....######.####.######..#####.########.#.##...##...#.######..#.######..#####...#.#.#####.##.####...........#.#..#.###.##.#.##########..#####...#.#..###..#.#.#####...###.###..#..##....####...#.#####.#.#.#.##.##.#...#....###....#.##....#####..##.....#......######...####..##...##...##.##.#.####........#######.#..#.###.#.#.####..#.#..##.##.#.###.####...#.#.#.##.##..#
#...##..#.#######.##.#....#..####.####.##.#.##..#####.###.......##..#..#.##.####...........###.#.#.#.#####...#..#.##..##.#..##...######.###.##.#.##......#####.....##...............##.#.##.#.#....#.##.###..##.#.#.###.##....####.##.#.#####..####.####..####......##.######.#.#######...###.##...#...###.##.#...#######.#.####....#..##..##.#.#.#.##.#...########.#...##.#.#.#.#.#.#.###.##......##.#.#####..#.....#...#.#.#.#.#.#.....#........##.####.#.#.#.....##....###.....############.####.#..........##.#......##.####.#########...#.#....###.##.##.....##.##..#..#.##....##...###.##.######...##.###.#.....#.........##.######...########.#.#########..#..######.####..##.#####.#...###.##..###.#.##.#.##.....#.#..##.##.#..#########.####...####.#.......####.#...#.###.#....#####.#######.##....####.#.#.###..##.##
#######................##...##.####....##.#..##.#####.#...#.#.#####.#.##.##.#....#####.#.###...#############...#####.##..##..###..#.....#.#.#..#.##.######.....#.#..##.###.##.##.##..#.####.###.##.#..#..##########.##...###.##.####..#.##....##.....####...##.##.#..####.#...######.##.#..##..#######.##..#....###...#.#.####.##.###.####....###.####.###..###...#####.#..#.#.#.#.#.#.###.#..#.#.########....##.#.#####...#...#.#.#####...#.####....#..........#.#.##.#.##...#.###.#..........##...####.#.##.##..#.#.##.#..#.####.#.#.#.#.#...######...##.###.##.##..##.##.#..#.##....#.#.#..####.#...############.#.##.###.#.##...##....#...#.#......##.##..########......#....######..###.###...##.##...#.#..#..#####.#...##..#####....####...#....#.#....##.##.#.#....#.###.##..##.#.##.....##.....###.#...##.###.####.##..#
##.#....##.#.#######.###..###..#....#.##..#.#####.#...#.#.#.#....#############.#.#..#..#..#######.#.###.#.######......##.###.####.#####.....#.#######....####.#####..###...#..#...##.####.########.##.#.##.#.#.#....##.#.##..##.#.#..##..##.#..#.#.###.##.#.....#.#.###.#.#####......#..##..##.#.##.......###.#...###.....##....#.#....####.###...###..#.#.##.###.#.......##.###.###.###...##.###.#.##.....##########....#...#.....#..#########.#.#.##.#.##.###.#.#.########.##.#.....###.###.##..######.#.##.#..##########.#.#.#..........#.#........#.####...##.##.#####..######..##.###.##.##.....#.##.##...##.########...#..#####..#.####.....#.##.....##.......#####.#.#.#.###...#.###..#...#.######.##.##.#.##.....#.#####..###..##..##..#.#.##.#.##.#..####.###.#.##.##...##.##.#.##.#.#.##.#.#..##.#.####.###....#####.#
#....#.########......##..#####.#.##.#.##.####.......#.###.####.###.#.#####..#######...##.##.###......#..#.#.#########...................#.#.#..###.####.##.....###########.#.##.#..#####.......#...##.###........#.###.#.#..###.#...##..#####.######......###.#######.#...#.######.#...####.####....##.#.###..#.#####.###..##.#...##.#..##..##..###.##......#.#.#.#####.#.##.#####...#...#.#..##..#....##.###...####..#.###.####.#.#.##.##........###..####.#...###..##......######.#.##..##..###.###....#.#####.#.#.#.##.........#######.####.##.#.#####.#..#.##.#..##.#######.#..###.##........#.#####..###.##...#.#.#...#.#.####.##.###.###.##.#.###.##....#####.#.#########.#.###...#.##.#.#.#....##...###############.##....##...###.##..##.###..#.##.#.####...##.#.#..###.##...###.##.#.#..#.#.##..#.#..##..#...#.####...#
#.#######.#.#...#.#.##..##........#.#.##.##...##.#.##.##..#....##.....##...##.#.....#..####.#.######.##..........#.####.#.#.#.###.#.##.##.#.####....##...##.####.#.#.#.....#.##.##.##....#.#.#...#.#...###.#####.#.#...#.#.##...#.#.###.##......#.######.###....##.##...#..........#.#.#....#....#.##..###.##.#..##.#####.##..##.##..##..#########.....#.##.............#.##.#.....#.#####.##..##.#.#.#####.###..#.######.###.#..#.......###.#.######.####..#.#...#.##..##.#..##....####.######.#.#...##.###.#.###.#.#.#####.##.###.##....##...#..#.##.##...##.#..#.##..........##.#...###.##.#.#####.###........#.......#.#.###.......##......##.###...#..#.####........#.#.####.##..#......#.####.#####.####.#.#.....#...#..##.###.##...###..#.#...##.####.##...####.####..######.##...##.#.#.##.#.#..##.####..###.##....###.#
#.##..........#.#######..###.#.#.##.#.#..##.#.####.#..#..#####.##.###..###.##.####.##.##.......##.#.....###.####.#......########..#################..##.######.#.#.....###.####.#..####.##.#######.##.##.#.##....#####.#.#.##.#...#.#....###.#.##..##.#####..#.##.....#.#.##.#.#.#.######.#.##.#.#.#..##...#####.##.##.....##.#...##..#.##....#....##.##..##.#########.##..#######.####################......###................###.##.#.....#.#......#....##.##.##..########.##.##..##...##....#######...##.......#.........#..##.....##.#..#.##.#.##....#.##.####.##.#.#.#.##....###.#.####.#.#.......##.#.#####.#.###.###...#####.#..##.#.#..#.#...####.#.#....######.....#.##....###.##.####......##..#....#.###.#...#.#.##....#..###...#.##.##.#####....##.####...##.#.##...##.#..#.##.###.#######.##....##..##..##.#..##.#
#.###.#.#.##.########...##...#.#..#.#.##..#####.#..##.##.#.#....###.#.##.#.##......##########.##....#.#..#####.....#.#.##........##............##.#.##...#.#...#.########.....####.#.....####......##....#######..##...#.#######.#####.#.#########....#.##..##..###.#.############..##....#.#..#.#.##.####.......#.....###..####.###.##.#####.###.##..##.##..#..........##.###.#...###.......###.#.#.###.#.#.....###.######.#####.#.########.####.#.#.#.#.#####...####........##.#..##..#######.######..#..#######...##.#.#.###.#..#.###..#.##.##.#..###.####..#....########..##########..#.#.####.####....#..##...#..##..###.##.###.#.###.#.#.##.###.##...#.##.#.#......###...#..####.####.##...#.##..##.##.#.......#.#########.#########.#####.#..##....#.##.....###.#.......###..##.####.#....##.#.#.##.#####.####.##.#.##..#
#.#...###.#..##...#...########.##.#.#.#####.......########.#######.......#.##.####...#.#.#.......##.#.##.#.....##.##.#..###.##.#..##.##.##.#.#.........#.#.###....##......#.####.######.###.##.##.##..#.####.....##..#.###...#.#...##..###.....#.####......##..##...####.#.........####.#.#.#.#########....###.#.##.#.##...###.####..##.#.#.....#######...##.##.####.#.#####...#.###...#.###...........######.#########.....#.......#...####.##...#.#.###.#.....#....####.#.###..##.#####.##.##.#.#....##.##.......#.##.##########.#.##..####..#..#.##.....#######.##.#.#.##.##.......###.......##.##...##.#.########..##.#.#.#......#.#...#.#.##.#....##.##.#######.##.##...#...##.........###.##.##.#############.####............#.#.##.....#.##.##.#.##.##.#.###...#.#.#.#...##.##.##...##.#.##......#.....#....####.#..##.#
#.#.#.##..##..###...#.##.#.....##.#.#.#...##.#.####.........##.....#####.#.####....###...###.#####..#.#..#.###.#..##.##.##..#..#.######.##.#.#####.###.#...#.####.#####.#.#..##..###.#..##......#.##.#####.##.##..##.#.#####.....#########.##.##..#...#.#.####..##.##......###.###....#####.#####.#.....##.##..####.#.###.###..##...#####.#####.##.#.####.########...#.#.....#....##.#.#.#...#.#.#.###.##..#####........###.#.#.#.#.#.#.......###.###########.#.####...######...##..#.....##......####..#######.#.##..###..#.#.#####..##.#.###.##.#####.##.#.......#..........###.###.....#.##.#######.##..#.##.......##..#...##.##.######.#.######.##.##.##.#.......##.####.##.######.##.#..##..###..##............#.####.#.#.#.####......##.#####.####.#..##.#.##..#.#####.#.###...######.##.#..###.#.##.###.#.#.##....##.##.#
#####.##.##########.#.##...##.#####.#.#.#..#####....###.###.############.#.#.#####...###.....#.....##.#.####.####.#..#...##.#.#####......###.#......##.###........#.#...#.######.#.#...#######.##.####.#.......##..#####.##..#.#.#...##..####..##.#####.#...##.#################...##.########.#..###.#..#####.##...#..##.#...##..#.##....#...........#.###.##.#...#.#########.####..#.###.###.#.####.....##.#.###.###.##...#.###.######.##.#.#...#.....##....#...##.###.#....#.##.######..######......####.#...#.#..#####......##...##..#......#####...#####.#.######.###.#.#########.##.####.##.......##.#..####.#.####.#.#######...#.#..#.##......###...########.##...#.#######......###.#######..##..##.#######.#...#..#.#.#...##.##.#..###.#.....##.##..###.##.##.##....#.#####...#.#..#..#.####.#.##..####.####.#.##..##.#
##.#..#...#.###.#####..##.##...##...######..#.#####.#...#.......#..............#######...#.#.#.#.#..#####.#.......#####.#####.#...##.###.######.#.#..#.#...#.#.##.....###.#..........#.#........#.#......###.#..##...##.....#######.####..#...##...####.#.#.####..............#########.#..##....##.#.####..#######.#.#######.#..##..####.###########...###......#.#...##......##...#####..###.####.####.##....######..#..###.######.#.####.#####.###.#....#.##.###..#.#.#.##.#.#####...##.#....###.##.##.....#.####.#.....####....#.########.####....###.#.#####...###########.........####....#.##.#.###.#.####..#.#.#..####......#.#...##.###.#####...#.#.....##.#..###.........#.#.####..##...##.#..##..#.......###...####.#.#.#..##.#.###....#.#..#####..##..#.##.###.#.#....##.#...##.##.###....#..##....#..##..#..#####.#
#..#.######...........##..##.#.##.####.#.##.........##.###.##.#...#####.##.#.#.#..##...#.#######.#####......#.#.#.#......##...#.#..###.....###..#.#.######.#.#..##.#.####.##.#.##.#.##.##.####.####.#.##.##..#.##..###..#.###.####...#.##.###.####.#....#.###.######.#.##.#.#....#####..##..####.#..####.##..##.#...#.#.........####..###........#####.##.###.#.##.#.#.#..#.##.####.##..#.##.#.#..........###.##..#...#########.##.#.#.#....##....######.#.#.#....#.##.....####.#...###..#.####.....##..##.##.#.##.####.#.#######.##.#........#....#####......#####.............####.#.####..#.##.#..#.##..####...##...##.##...##.#.#.###.##.#.#####.##.####.###....#.########.#.#.######...#####....##.#..####.#.#.##..#..##..#.#.#.##..#...#.#.##.##.##....####.#.####.#.#.#.#.###.##.##########.####.##..#.##.##..##.#####..#
##.####.....#.#.#####..##.##.#..#####.....##.###########...######.#.....######.##.#..#.####.#....#...##.#.#.#.#.#.##.#.#..##.#####..#####.##.########.#....#########.#.....######.#..####.#....##...####.#..##..##.##..####....#.###.#.#..##...###...##.#.###........###..#.##.#.#.##..####..#.#.##..##...#.##....#######.#.###..##..##...##.#.#.....#.##..####.#..#.#########.#.....##...#..############.#.#..##.##.#####..##...........#.####.###......###.##.#.#.#..##.##.######.#.##.#..#.##.##..#.##...###.##......###........######.###.####.##....###.##.#.##########.#.##....#.#....##..####.#.##.##....#.#..######..###..#.#...####.#..#.....###.#########.#.#....#...###.#....##.##.....#.###.##..###########.#.##..##.#.#..##.##.##.#.#...####.#.###...#..##....#.#.#...#.##..##........#.....##.####..#.##......##.#
#..##.###########.....##...#######..####.######.##...#...#.#......##.#.##.........#.##.#......##.#.#....#######.#.#..#.##..#.#.#.##..##...##.#.#.#.##.##.####.##.#...##.#.##......##.##.####.#..######.#.##..##.##..##..######.........##.#..#.....########.#####.##.##..##..###....##.#.###........#####....#.#####.#..#######.##..#####.#######.##....##.#.####.####.........#.##.##..#.##..##..............##..####.#...##..##.#.#.#.##..##..#####.##.##..#..#.####.####....#.........##......##.#########...#..##.#########.##.##.#######.#....#..##.##..................####.##.#####.##..##....#.##..####.#.##..##.###.####.####.###...##.####.##.............####.#...#..#######.....#.##.####....####.##........#####..#.#.##.#..##.##.###.#.##.#.#...###.##.#..#.##.#.#####.##.######.#.#.#.#.#.#.....#.##..##.#####..#
##....#.#.#########.#..######.##.##..###..#......###.############.####..###.##.##...##.#.##.#.##.#########......#.#.######.#.#...###....####.#........######.......#.#..#.#######..#.#.......#.##.........##.#####.######.#.##.##.####.#....###.#.##..###...###.###...############.##..#.#.######.#..#.#####.###.#.#.#.###.......######.###.#.#.#######.#......######..#.#.#.#.###..###.#####..########.#.#.#..##.#.##.###....##..###.####.####.#.....#...##.####.##...#.###.#.#########....##.#.##...#.##....#.####..#.........####..........####.##.##.#..#.####.#.##.##.####.###..##.....##..##.#.#.##.####..#.###.##.....#....#......##.##...###.####.#######.#..######.###.#.#.#.#.#.###.#...#####.##.......##.#.#....##.##.#.##.#.##...#.##..#....#.###...#.##.#.##.##.#....##..#.#......###.#.#.###.#.#.#.######.....##.#
#####.#.#.#.#.#.#####.##.###......#.##.##.#####.###...###.#.##....#....##...#..#..#.######..#.######.###...##.#.#.#..##.#######.##.##.####...########.#.#....#.###.#.#.####.......##.#.###.###..#.#.##.#.##..#.....##..........####.##.#.#.####.#..##...###.#.#.##..######.###.###.###......#.....##....##.#.##..#.#.#.#.###.###..##.#...#......##.#......#.##..##.#..####.##########...###.#.##.#..#######.##....#.##.#...##..##.#...##....##..##.#####.##..##...##.#.#.....#.#.........##.##.#.##.#....##.#########.#########.#.#..#.###.#.###.######..##.##########..######...#..#####.#.#..##..###..####.##.###...#########.#.#####.###.#..#...#......###.....##..##.....##.#.......#...#.##.##.#.#.###.####.##.####.###..#..#.#..#.###.##.###.#.#.##.##..######.###...#.##.####.#######.#.###.#####...###.#...##...#.#..###
#..................#...#.#.###.##..........#....#.##.##.#....####.##.#..#.#.#.###.#.#..########.##.....#####..#.#.#####.#.#.##..#.....##.###..............#.##..##.#.#.##...###.#..#######.##..##.#.#..###..####.#..#.######.###.#.......#..##..#######............##......#.#.#....#######.#.#.#.###.#..#.#.###.#.#......##########...#...##.#......#.#.##.#..###.####....#..##.#..#.###........##......####..##...#....#.#..######.##..#.###########...##.####.###.#.##.#.##...#.##.##.##.##.#.##.#.########.##...#####..####.#...##...#.####.........###.#.....#.###.#.##.###...##.....#.#.####.###.##.........#####.##.##.#.####....#.###.##.#...######.#.#.#..##..####.#####.###.#.#.########....###.###....##.#......##.##.###.####.#..#.#...#.###...##....##...###.##.#...#.###...##..#.#...###...#..##.#.#.####.#.##...#
####.#.#.#.##.#.##...#.#.......###.#.##.##.##.#...#..##...##......#############...###.##.######....###.......##.#####.#.#.#.###.####.###.#.########.#.##.##.###..###.########...##.##......###..#.#.##..#####.####.#####.#######...##.#.###..#.###.##...##.#.#.##.########...#.####.#.##.##...#####.####.#.#.#.#.#.#####.##.#...##.###.##########.#.##.#.#####..#.....####.##....#.#####..##.###....#.##......#####.####.####.#.##....#######....#.....#..###....#...#..###.###.####..####..##.#.##.#..#.#.#.#.###.##...##......#####..#####....####.#.##.#####.#.....#.#....#.###.###.#.##.#..#.###...##.#.###.#####...........##...##...#####..#.#.#........###.###.##....#.....#...#.#...##.....##..##.##..##.##.#####.##..##..##..###...######.#...##.##..##..#.###....#####.#.#####..#.##.#.#.#...#.#.###.#.#.#....#####.##
#.#..#####.#########.#.##.##.#.#...#######.######.##.########.#####.##...#.#.####.##.....#..#...##.#...###.######...#........#..#.####......#...##..####..#...##.#...##.##....#..########.##.##.######.##............##..........#.#..#.##..##.#......#..###.#.##.#.####...#................#.##....................###..##.###..#..####.....##.##########.#.##...#####..#######...#.#...###.##..##.#.#..###.##.##.......##.###....#.##.......##.####.##.###..##.##.###.##..#.###....##....##..#.##.####.#.......#.####.######.####...###.#..##..#####.#..###########.#.##.#.......#...###..#.##.#...########....##.###.######.#####.#..###..#..####.#.#.##.#.#...#....################.#.########.###.......##..#####.....##.#..###.##.###..##....##.##...##.##.##.#####.###.#......#.##...##.######.##.#...###.#.###.###.#...#
#...###.#..#.#.##.#..#.#..#..#.#######.#.#...#.#.....#.#.#....##.......#...........#####.##...###..##.###...##.####...#.#.##.##.#.#.###.###.###....###...##.#.#..###.#.....##.#.##...........##.##.#...##.##.#.###.##########.#.####.##.#########.#.#.#.##...#..#.#......######.##.#####.#.########.##.#.##.###.#.#.#.##.##..##.##.##.#..#.#..#.##.##.##...#.###.###..#.#####.####.....#.#....##.#..##########...##.##.#.#......####..##.###.##.......##.##..##..#..#.#..####.....#.####.#.###.###..#......#####.#..#.#...##...##...#.#.#.##.#..##.....##...#.##......#######.####.##.####.##.##...#..#.#######.##......#......##....##...##.#####...##############.##..###.............#....#######.#####.#..####.##..#.#..#.##...#.##..###.###.#.##.###.###..#.##.#.........###.##.#.####.##.##......###.#######..##.....##.##
######....##........##.##.#.##.#...........#.....#.#.......#######.##.###.##.###.#.##.#.....######..###...#.#...####.##.####............#.......#.##...#..#.######...##.#######.###.#.#.##.######....#..#.######....#.##......#.##....#.#.....#.#.#.#.#.###.##.#########..#.#####..##....#.##.......#..#.##.##..#.#.........##......#.#######...#..##..###...#...#.##.#..#.#..#.########.#.##.#..##.##.##...####.##########.###.###..##..##...####.##..#####..#####.#...##....#.#.#.#.#..#.#.....##.#.########.#.##.#.###.###.#####.#.#......##.######.####.#.#####.#..##.##..####.#..#.....########.##.#.#.##...######.#.#.##.##.#.##..#.##.###.###.#.....#.#.##...#####...##.#.#.#.#.##.#.##.............##.#.......##.#.##.##.#.#####...#..##.#.##..##.##..##.##.#.#.##.####....#....##..##.####.#.##........##.####.#.######
#......##.######.##..###..###..#.####.#.#.######.#.##.##.#.##......####.############....##.####.#######.#.#####...####..#....##.##.#.########.#.#.###.########..####.##.####......########.#########.##.###.#####.###.#..#.#.##..###.##.#.###.....###.#.#...#######......##.......####.#.#.####.#.#.#.##.##########.#.#.#.#....####.#.#..##.###.##.###.#.###...#.#.##.#.##.##.#.#.##...############.#...###.......###.##..####....#.######..######..#.##.....##.....##.######.#.#.#...######.#.#.##.###.##.......#....#.......##.##.#.##.###.#..#.#....#........#...##..#.#..##....##.##.#.####.##...##...#.#..###......#####..##.###..#####.....#.#.#.#.#........#..###..#.##########.####.##.#.##.#.#.##..########.###.#.#..#..###.....#...#####..##.##.#..#####..#.#.#....####.###.###..##..#....#..##.#.###..####.#.#......#
##.#.#..###.###...##..##.##...####....#####......#..######.##.##.###........##.##.#..#.#####............#..##...###....##.#.##..#..#####......#.###.###.##.#.##.#.#...###....#.##.#..#.......##.######..##...#.##.##....####..##.#....#######.#.#.#...###.###...#.####.#######.#.##.#..###.#....###.#.####.##.##.##.#.#.#.#.#####.#.#.#.##...................###.....................####.##.##.#.#####.....#####.#.#..##.##...#######.##..###.....##.###.#.####.####..##.....#.###.###.##...#########...#######.####...##.#.##.....####.######.#.########.##.#.#######.....####.#.#..##.#.#.....#.#..#.#.....##...##.#.##.##.########..##.#####.#...###.##.##.#.##.##.#.##.#.#.#.##....##...########.#..##.###.##...##..#.##.##..###.##.#.#....##.##..##.##....##.####.##.#..##..#.#...##..#.#####.#.###.#.####....#.###.##.#.#
#########.......#.#############.####.###.#######.####..#...##.####...##.#.#.........####..#####.#.####.###.##.#...######..#..##.##.#.....###.##..##.................######.#.#.#####...#.#.###..#...###..###...##########.#..########..#.#....#######...#######....#...#.......#.##...##...######...#.#.##..........#.#.#######.#.......######.###.#.####.##.##..#.#.##.#.##.###.#.#..##............##..#.###.#.....##.....##.####.#......##...###.####...#.##...##...######.##.##..#....###...###.#...#..............###..#.#..#.#.##...#..##..#..#.##.#...###.##.##.#.#.#.##...####.##.#.#.###.####.#####.#.####..#.#.##....#..##....##..........#############.#..#....####........####..#...###....##.####.#....#..##.###...##...###..#.#.#.###.###..#..##.###.....#.####.####.#.#.####.#######..#...#.#....######.....##.#.#
#...#.#.####.##.###.##.##.#.###......#............####.#.#..#.#....###..#####.###.#.#.###.......#.##...#....#####.##.##..##.#####..#####.##..#..##..#.#.#.#.#.####.####.##.#.#.#.....###.#...##...#.....##...#..............##........##.##.#.##.#.##.###.......##.###.####.##.######..###.##.....#.###.#..####.#.#.######.#......#.#.#..#####.#...###.....#####.###.#..###...######.##..##.######.##..#####....#.#....########......#.#.#####.#.....##.#.#########.#..#.#.###########.#.#...#.#.....#.##.########.##.#...#####.###########..##.##......#####...........###..#####....##.#.#.#......#.#.....###.##.########.#.##.##.#.##########.###....#.###....#.#######.###.##.##....##.##.##.####.#...##....#.##.##...##.#..#.####..##.#.#.##....##.#.##..####.#.####.#....##...####...#.#.#.##.##.##.#.##......#.#.#..###.#
###.....#.########...#.#....#.##############.####.#......#.###############.#..#...#.#.#.#.#.#.#.#.###.##.#.###.##.......##..#.#########..#..###..##.#.#.#.#.#.#....##......#.#.##.##.#...#.#.#..#.#.###.##.#.##.######.##.#..#####.####.....###........###.##.###...#..##...#..##...#.##....#####.####..#####...#.#.###....##.###.###.##.......#######.##.##.....##..########.#...#.....#####......#..##...##.#.####.#..#.##.#..#.#.##.###.######.####..#.###.......##.#...##.##.###.###...#.###.#.#.#######.......##.###.#.##..#.........##.#######.##.....#######.#.########.#####.##..#.########.#####.#.#......#.##.....####....#.#.#........#...##.#.#.####.####...........#####.#.#...###.......#.#.###.#.#.#...##.##..#.##.##...##..#.#.##.#.##..#####....#.###.##...#.###.####.##.##........##..#.#.##.#.##.######..##.#
##..###.#.#.#..#.###.#...##....##.#.#.##.....##...#.#.#.##.#.##...##.#.#.#.#.##.#.###.....#.###.#...###..#.#......####.######.#.#.##....###..##.##..#.#.###.#.####.##.#.##.###.#########.#.#.##.#.#..##.##.#######.....#######.#.#######.##..####.#.####.#.##.###.#...####.###..###...##.#####..####...##.#.###.#####.###.#######.###.###.######.......#...##.#.####.##.....#####...###.#.########.####..#....#..#.####........##.#.#..#...#........#######.##############.#..##.#....#..#.#..##.#######.....##.##..####.....####.###.###......##.#######.###.#######.##.....#...#....##.#.##.##.....#..###.####.#.#....#.#.#..####.#...#.####.####.##.......#...##.#.##.##.##.####...####.##...#####.#####...#.#.##.##...####.##..#.####.##.#.####..#.###....##.#.##...##.##...#.###..##.#..#.####..#.##.#.#..#.##..#.##..##..#
#..##...#.#.##.#.#...###..####..#.#...####.#.##.#.#####.##.#.####.#..........#..#.####.#.##.#######.####.#.###.#.##....#.............#.##.##.#...##.#.#..##.#.#....##.#.##..##.#...###...#.#.##.#.#.###.##.#..##...#.#..##............#..##.##.##.#.#......##.#...###.#....##..##.#.#.######.##......#..........##................#...#.####.#####.#.#.#.#..#####.######.##..#.####.#####.#.###.#..#.#..##.#.##.##......##.#.#.##.########...##.#.#..#.#.#.........##.#.##...###.####...##.#.#####.....#.##.#####..###.##.#########...#...##.#..#...#..................###.#...#...##..#####.....#.#.#.######....###.#.#######......###.####...#....##.##.##...#.#....#...###..##...#..#.#..##.#########.#..#.#.#.#..###.##.....##.###....####..##..##...##.#.##.#.####.##.##.#.#.....##..######....####..####.#####....##..##.#
#.#####........#.###.#.######..##.###...###########......###....#.###.#.####.##.#.#....#.####.##.####.#######..###..##.#.#.#.##.####.#.##....#.#..###.##.##.#.###.########.#####.###.##.##.#.##.###.##..#####..###.#.#.#####.#.##.#.#...##......########.#.##.##.##...########.#....###.........#.#####.##.#.####..#.#.##.#.##.##.##.##............#.#.###.##......###.#####.#.#.####.###...#.#.##.....##..####..##.#.#.##.#.#.##.##.......#.#..#.#.##.#...#.#####.#.......#..........#.##.####.#..#.#...#####.######.....#.##......#####..####.###...####.##.#.#.##.###...#.#.##.##..###.##########....#..##.##.###.###.#.##..#.#.#######...#.##.#.#..#..##.#.######.######..#####.##...##..###.....##....##.#.####.#....##.#.##...###.#.#.##.##..##..######..#.###........#.#.##.#.####.#......##....##..#.#....##.#.###.#####
#.#...##.#.###....#....####.##.##.#.#.###..###.#..####.######.#.......###....#..#.##.#.###........##....####..####.#####.#.#.####....#.#####.#.##..##.#..##.#.#.....##.#...#.##...#......###.####....##.#...##.....#.#.#.....######.##.##..#.#.##........#.#..#..#######....#..#.##..#####.##########.##########..##.#..#########.#..#####.#.##.#.##.#####..#####.##...##......#..##....###........#.#..##.##.#####.#.#..###.#.##.#..##.##.#.##.#.#.#....#.#.#..##.##.####.###.##.###.#.##.#......##.###..##.....###..#####..#########.#######..#####.#....##.#.####.#####.######.##.###..........#..##...########.#####......#######..##..######.#.##.##..#.#.##.....###....##.....###.###.##...###....#.########...#.#.##..#.######...#....#.###..##..##....##..##.##.##.##.#.##.###....###.##.###.#####...#.##.#..###.......#
#.##.##..########.####.........#.......##.##.#.#.##..#.#...#######.##..##.##.#.###########.#.##.#.#####..#.#.##.....##...#####.#######..##.#.#####..#.##.##.#.##.####....#.#....#...#.#.##.....##.#.#####.#..##.##.########.##......#...##.##########.#.##.#######.###.####.#.####..##.....#.....##......#.......##..##.#.........##.#.....#.#..###..#.....##.#......#.#..####.##....##...######.#.#.#.##..#........#.#.##...###..#######..####.#.#.#.##.#.#.##.......#....#...#####..#..###.##.###..###.#######.#.########.##.#..##.#..##.#.##....#######.##.###....#.#.####.##..##...##########...#####.#####.#..##....#.##.##..#.#.##..##......########.#.#.#..#.#.#.###########...###.###..###...##.#..#.#.##..#.#.#..##.#......##.##.##.#..##.####..##.#..##.##.##.##..#.###...#####.#...##.#.....##..###..#.##...##.##.###
###.....##...........#.#######.#######.##.#..#....##.####.##.......###..####.#..##.#..#....######.#.#.##.#.#####.####..#####...........##......##..##.#..##.####.##...#.#####.#.#.#.###.####.###..#..#.#####....#..###......#####.#.###.#...##...#.#..#.####.#####......###.#######.####.#.##.##....####...#.##.#######.##.#.#.#.#####.#.#.#############.#.#....#.####...##.#.....##.#..#........#.#.#..##.#####.#.##.#..###.#######......##....#.###.#..#.#.####.#.###.##.#.#.#.....##.##...#....####...#.###.#.#.##.......#..##....##.##....##.#...#......########.#....##...#######.#..........####.#...##.#.##.####.##.#..###........##..##.#.##.......######.#####.##..........####...#..#####.###.##.#......##.#.##.#..##.#.####.#..##.#.###.##...##..#.##..##.#...#.####...#..#.#..###.#####.#.####...#.####..#.##.##...#
#...#.####.#.#.##.##...##.#.............#.##.###.##...##...#######..###.##.####.##.##.#######.##..#...#.....#.####..######.##########.####.##.##..##..#.#####....##.#.#.##....#.#.#..##.#......##.#.##.....##.#.##...####.###.#...#.#...#.#..#.#.....####.#...#....####.#...##.#......##.#.#..###.#.#....#####.....##...#..#.#.#.##....#.#..#.###.###.##.####.#####....#.##...#.#..#######.##.#.##.###.##..###...#..#.########.......#.##.###.#.#..#####.#.#.#....#..##.#..#########.##..##.#######.######.#........#####.#...######....#####.#..#.#...##.####...#...#.##..###.#.#.#############.##......#..#.#.##.#.##.##.####.###.####.###.####.######.#...###..#......########.#..#.###.####..#####...#####.#.##..#.##.##.#..#..##..##.##.#...#.##.#..##.#..##.#..#.#.#..#####.##...##.#....##.#.#..#.#.#.#...##.##.#...#.#.#
#.#.####...#.#.#..#..####...###.###.###........#.####.#..####.#######.###...##..#..............##.###.###.#...#.###.###......###.......##...#.##.########.#...##.########..##.#.#.##.#####.##.############....#.#..#.######...##.######.###.#####.#.##....###...####......#......##.#.#..####.#...#####.##.....#.#.####.#.##.#.#####.#.#.####..............####.....#.#######.###.######.######.##.#...#####...#.##.####.#.#...#.##.####...####.#.##.#.##########.##..####.###.......##.###.##...#...........#.####.#.#.#####........##.........######.#.....###...#.#####.........#.##.#...#....###.#.#.##.............####........###...####.####......##.##.#######.#..........##.#.#.....###.#.#...###..##.#..##.#.#...####.#.####.#..####.#.#.##.####..#.##..##.#.#.##...##..##.###..###.##....#.##...####.##..##.##.####.#
#.####...#.#.####.#####...#..##.##..#...#.####.#.#.#..##.##.#....#..#.#####..##.####.#.#######........#.#####...#.#.#.#####.##...###.#####.####...##.#......#.##..##......##..#.######......#.##.#.#...#.###.##.##.###......#.####.#.##.#....##...#..##.#..###########.##.#.####.##.#######.###.#.##.##.#..##.####.#.######..####.#..#.#.##...#.#.#.#.#.####.##.#.#.#####.##...##.#..#...........#.##.##..###.##.##..##....###.###########.#....#.#.......#...#...##.###.###...#.#.#.####.######.##########.####....#.#.##....#.###.####.##.#.#.#...#..##.#.##...#.###...########.##.##.###.#.##.#...###.###.##.#.#.###..########.#.#...#.#.........#.##.#..#...##.....##########..###...###.........#...##....#.###.####.###...#..##..##...####.#..#..##..##..##.#..###..#.#..##.##..##.##....##.#.#..###....####.##..#..#..#.#
###....###.###....###...#.#.#####..##.#.#.#........##....#..#.##.##.#.#.####..####...#.######..##.#.#....#.####.#.#.....#......###....##.....##.#.#....##.#.#.##.######.#######..#.#...#.##.#.##.#.#.#.......##.#...###.##.##.#....#..#####.####.##.######..##.........########..#...##.##..#######.....##.##..###.#.....###.#..#.##.#.#.#..#.#.#.#.#.###.....########.#.....#..####.###.#####.#.########.#....####.####.#..#####..#.#.#####.##.#########.###.###..###.#.....#.#######.##..##..#...##.##.####....##.#.#.#######.##..#.#####.#######.#####.#.####.#######.#...........##.......##########.#....#.#.###...##.#.#....#.#.#.#####.#.#.###.##.##.#.#....##.###.........##...###...#.###.###.#..####.#.#...##.....###.#.####.#..#...##.#.###.###.##.######.##..####.##..##.##...####.##.####.#...#####.#####.##...####
##..###############...#####..#.########.##########..####...####...#.#.#.#.###..##..###.#....##########.#...#.##.#...#.#...##.#.##..#.#####.###..#.##.#.#..#####..#.##...#..#....##...########.##...#####.###.##.##.##....####.####...###.....##..#..##.#.##.############........###.##.....##.##.####.#.#..#..##.#######.....##...#..#.####.#.#.#.#.########.###.#.##....###.#.##........#.....#####.#.#....##.##.....#####.#.#.##...#.#.########......#..........###....#.#.#####......##..##.###.#......#####.##...............##.#...#.####.##.........###.######.#.#.###.##.#.##.#..#.#.#..##........#.#.####.#...#.#....####.###.#...#####.####..##################..##.#.#.###.#.###.#.#.#...##..####....#.#.#.##.##.##...#...##.#.###.##..#..##.#.#.##..##....##.##....###.#...##.##.....########.#..###...##...##.#...##
#..##....###.#.###..#.#.....##...##.######.#.#.#...##....#..##..#...........##..###########.##..#####..###......##.######.##.#.###.#.#..######.##.##.#.##.##.###.#....#.##...#.#####.#.........###.##....##..##..#########.........#...#########.####........#.......#...#.####..##..#####.##.........#.##.##....##......#.#.#..#...##.#....#.#######..........#.#..#.#.##...#.####.###.##.#.#..##.......##.##..#######.#.#.#.#.####.#.#.#.##.####.#.#...#.#.###.##...#.########.######.###.#........####.#.#.####.##.#.#.#.#.#.#######.#.##.#.##########..##............##########....##.#.####..#.##.###.#..##..#.########.##########.###.#...#....##.....#######.##.##..###.#...#####.###.#.###..##....####.###.###..#...###.#.###..###....##.#.#####...#####..##.##..####...#.##.##...###.#..##.#.##.##.....###..#.##.#.#..#
##.#..#.##.#...#...##.###.#.####....#.###........#....#.###....####.#####.#####..##..........##.#.#.###########....##.....##.#.#...#.##.........#.#..#.#..#...#######.########...######.#.#.#.###.....##..##.##.##.........#.#.#.#.##.######...#.###..######.##.####.###.#.##...##..##.#...######.#.#.#..#####.######.##.#.#.#.###.########.###..#.########.##...##...#.#..#####.##.#....###.#.######.#.##...#.###...#....#.#.#............##.#.##############.##########.#.#.................#####.##.............####.###.#####.#.......................#########.#.##...##.##.####.########.##.#..#.#...##..##.###.....#......##.###.#.#.#.##########.#.##.#...........##...#.###.....#...#.##..##..##.#######....##.##.###..#.####..##.#.###.#..#.####.....########.##..#.#.#.##.###.##...##..#.#.#...##.#.#######..#.#.##.#
#######....###.#.#.##.##..###.#####.#.#.###.##.#.##.#.#.#...#.###...#......#.###.###.#######....#.#.#.#..#....##.#..##.##..#.#.###.#.####.#.#.#.####.########.........##.......#.#..#.#.#.#.###...#.#..#####..#.#..#.#.#.#.#########.......##.####.##.##........##.......#####.####.##.###...#..#######.###.....##....#..#######...#..........##............####....#.#.##.#........##.#.#...###.##...#.###.####...#...##.......#.##.#.#.#......#.#.#.###.#.#..##.#.###.....#############.#####.....###.##.#.#####.#.....##.##......######.##.#.###.###.#.#.##......#.##.#.............##......#..#.########..###########...####........#...####.###..####.##.########.#.##..#.#.##..#.#...#.#.#..####..#.#.......#.###.##.##..##.#....##..####..##.#...##.#.#..##......###...###.##..##..###.#..##.....###..####.#.##.##.#..#.#
#.#.####.#.......#..###..##...........#.###.#########.####.####.######.###.#.#.#..####.##.###.#.....#.##.####....#.######.######...#.#....#.#.#...##.#........##.#.#.##..##.#.##.##.....#.#...#.#.#.#.##.....##.#############.####...#####..#.#.#..##########.#.####.###.###.###....#......#...###......##..###.###.#.##..##.....#.#.#.#.#########.#.########.#########.####.#.#.#.##..####.##......#.#.#.....####.##.#####.##.##.#..#.########.#.....#.#.#.##.##.#.#.#####.#......#.##...#.....#####.###..####.##.##.#.###.#####.#.#.......###.#.....###....#.####.#.####.###.#.##.#.####.###...##..##.###..##.......##..#.#....##.##.####.###....##.#.#.......#####..#..####.#..##.####.##.#.##...#####.#####.#.#.#....#..##..######.###.##...##..#.#....####..##.#.#..##.#.#######.#####...##..##.##...##.........#..###.##.#
#.....#######.##.#.###..###########.#.....###..###.####....##......#.#.#.....#...##.#......########...........#.####..#...##..#..#.#.#.##.###.#.###..##.###.#.#..#.#.#################.####.#.#######..###.#..#####.#.#.####...#.##########.......##.....###..#.#....#...#.#.#...##.##########...######.###.#.....#######.##.#.###########...##.######.#.#.##..#.#.#.####....###.#.##.##..#..##.#.###.#.#.#.###.....###.....##..#.#.######........#.#.............#.#.#.###.######...##.####.########.####.##......#..#...###..########.#.###...#.#.#.#...######....#.#....##..#.#..#.##...#...#..##.#......#####.###....##.###.#####..##.......##........##.#.##...#.##.##....##.##.##....#####..###.######....#.#.#.#.##.#######......##..###.########.#....##..###.##.#..#.....##..#.#...#..##.##..##.##..#.#####.#.###...#.#
#####.#.......#..###.#######........##.##.....##...#..##########.#.....#####.###....#####.##.#.#....###.##.#.####.###.###..##.#.##.#.###...##.#..############.##.#####.#######.###.######...####......##...#.##..........#.#.#............###.#.#..#####.....#######.###.#...##############.####.........####.##.##.....#########.#.#.#.####....#..##.......##.#.#.#......#.##...#..#####.#.##..#.#...#.##########.#####.#.##########......##.###.#####.#.###.###.............######.#######..##......#.######.#.####.#.######.#..###...######.##.#######..##.###.#.#.###.###.####.##..#########.#######.#.###.##.######.#..#...##....####.#.####..##.#.#..###.####....#.###.#.#..##.##.##.##.#####.#.#..#.#.#.##.#.#.#..#...###.#####.####.##....##.....##.#.###.#...#####.#.##.####...###.##..#.#..##..##.##.....###...#.###.#
#####.####.#####.###.#.#.##..####.######..#.#....#...##..........#.#.#.###.#.#.####.#.#...#......##.#...##.#.##...........##....##.#.####.##..####............#..#..##...##.#..#.#.#.##.###.##.##.###.##.#.##########.##...####.##.#.##.#...######...#...#.#..###..####..#.#...######............####.##.#.##.#..#####.##...#................##.#.##..#.#.#..........##.#.#.###.##.##.......#..##.#.#.#####....#...#.....###.###.#.##########..##.#.....#.#######.#.#.#.#####.#...#..#.#..#..##..#.##...#.#.#######.#######.##.#.##.###.#...#..##.#.......##......#####...#...#....###...##.#......##....###...#..#.##...##.#.#.###.#.##...#.#....##..#.#.##........####.#...#.##..#.#..#..#........#.##.....#.####.#.#.##.###...##.##..##...##.#.##.##.##..#...###.#...##..#.#....##.#.#...##.#####.##.##..##.#.#####.#####...#
#......#.####..###.#........###...#..#...###########.######.#.##.#######.......#........#...#.##.######.#############.#.#..###.##..#.#.....##....####.#.#######.###....#....##.#.#.............##.###..#####..#..##.######.##.###..#.#..###.########.###.#.#.##.#.##....######.#.##.#.#.#.#.#.#########....#####..##....###.####.##############.#.#..######.#.##.#.#.##.#.#.#....#######.#.##############.##.#...#.##.#.###.............##....###.####.####.......#####.#...#.###.##.#.##.######.######.....#.#.#.................#.#.#.###...###########.##.##.#.#..##.#.###.##.#..###.###.##.#.####.#.######...##....#.##.#.###.#.#..###.##########.#############.###..#.#.#.###.#.#.#####.#.#.##......#.#.#....#.#.#..#.##..#.......####.#####.##.##.##.##.########.##..##.##.###..#.#.###...##.#..#.###..#.#..##.####.###.##
######.#.##.##.....###.#.##.##..#.##...#.##...........##.####..####.#.########...##.#######.#..###.#.##..##...........#.####....##.#.##.##.##.##.##...######.##############..#.#.####.####.#.#.#..#...##...##.##....##..#.........#######...#.#.#.#......#.#.##....######.#.#.........#.#.#.######....####.#.#.########.......#######.##.##.........##......#..#.#.#.##.#######.##.......#.#.................##.##.#..#.#...#.#.#.#.###.#####...#.#....#.#######.###.######.................#.#####.....#.#.......#.#.#.##.######.#.#...##..###..##.#.....##.#..####....###...#..##.#...##.....#.#..######.#...##############.#.....#.#######.#####.#.##.#.##.......#.####.#.#.#...#####.....###.#..##.#.#.#.#.##.#.#.##.#.###.###.#.#...##..##....#..#.#..#......##....#####.#...###.###..##.#....##.#.#...##.##.....##...##..#
#............#####.#.#.#..#####.#####.##.###.#.###.##.##.#.#####........#......########.....####........###.##.#.#.##.#.######.#####..######..##.#..###....#.#.#.#.##....###...#.#....##...#########.####.##..#####..##.###.#.##.##.#.#####.......#####.##.#..##.#..###.......#.#.#.#.#.#.#.#......####.#..#...##.##....####.##.##....#...######.##.#..#.##.##.#####.##.#..#.##.#..##.##.##########.#####.##..#########.###.###.#.###.#.#.#.##.##.##.#.#.........#.....####.##.#####.#.####....###..#.###.##.##.#.#.#.###..#..........#########.##....#.#.#..##.##...##.#...#.##.#..#.#..##.##.#...##........####.#.###.#.##..####.##.##..............##....####.##......#.#####.#...######.#######.#..#.#.###..#.#.#.##.#.#....####.##.###.##..#.###.######.###.######.....#.###...#..##.###.##.#..#.#.#.###..###.#####.####.##
#.##.###.###..##.......#.##...#.#......###.#####...#...........####.###...####.##.#.....#.#..##..##.#.####...#.#.#.##.#.#........#######.###.##..##.#...##..........###.##...#.....#.###.#...##.......##...##.#.#.##.....##.#######.........##.##.......##.#.#####.##...###.#.###.################..##..##.###.#..####.##........####.##.##..#...##.##.#.##.#..#.....##.##......##.##.##.##...#..##.##.....##.#.........##..#...####............###..#.#.#.###.#.##.##..#.#.####.....#.######.##...##.##..####..###.######.##.#.##.#.####.###.#.#..####.###.##############.##.#..##.##########.##.######.#.#.###........#....###....#..###.#####.#.#.######.##...##.###.##...######.##.######.......##.#.###...####.####.########....##...#..##.#..#####.......#.##.####.##.#.#...####.##.##..####.####.#.##..##............####
#..##########....#.##.##.##.#...##.##.##....#....#.##.########....######.##....##.###.#.#.##.##.#######....#.#.###.#..#.#.###.##.#............#.##..#.###..####.#.#...#.#..#.#.#.#.#.##..##.####.#.#######..#.#...######.######.#...####.#.########.#.#..#.#.#.##..#..#########...#..#.#.#.#.#.####.##.#####...##.#..#####.#####.#.#..#..###...#..########..##.####.#########.###..##.##.####.##.#..####.#.#..##.###.#.####.##.####..##.##.##.#.##############.#..#####.....#.########.#.......#.###...##.#.###...####......###########.#.....#.####.....##...##..##........#.#.###..##........#..##.#.###.#.#...##.#.#...##.#.##.####.###.#.....#.###.........#.#....#..##.##......#......###.####.##.#..####..##...##..##.###.###.##..#.#.##..##.....#####.######.#.....#######.##.###...##.#.##..##..#..#.##..#.##.#.###....#
######.....#####.#.##.#...#.###..###...####...###################.##.....#..##.#......###.##..####.#.###.#.###.##..##.#.####...######.#.#.##.######.#.#...####..#####.....##.#####.#.###..###.#..#.###.####...###......#..##....##########....#.#...#.#.##.#.#..##...##...##....#.##....................#.####.##.#.####.#####...#.##.##.#.##.#######.############...##...#....##.##..##.#.........##....####.#####..#.##.#######.##.#..##.#..###.#.#.#.#.##...#.##.....#.#.#..##......#####.#...##..######..#######.########.....#.#.#.#####.#..##..#.#..##.####....##.#.#.#.###...######.###.##.##.......########.####.##..#....##.###...####.#####..##.###.##.##.###.##...##.#.####.#.#......##..##.#.##....###.####.##..........##.####..##.###.#.##.....##.##....###..#.##........##.###.#....##..##.##..##.#.##.#.####.#.#
##.#.##.##.......#######.###############.####.##.....................#.#.##.##.##.######...##.#..........#..##.#..########...#.##.#...#.#.#....#.###########.############.#...#.#..#.#.#.##...######.#.#.####..###.###.##.#####.##......#..####.#######.##.####....#..###....##.######.##.#.#.###.###.#....#.#.##.#..#.#.###.###.......#.#.#######.....#.###..##...#.####.##.####..##..#####.###.#..####...##.#.....####...#.##......##.####.###....#.#.#....#.#.##.#.#.#.#.##....#.#.##.....#.#####...##...##.#..........#.#####.#...........##....##.####....###.#.#..#.#.####..####.....#...##.#..###.#.##.##....##...######.#.....#######...#.#.#.#####...##.#....########..####...#####.#.###.##..#.###.#...#.###...########.#..#...##.##...##.########.....##.#...##....##.#.##.##....###.#.####.##..#.##..#..#.#....#.#.#
#.......#..##.##....##.#.##...#............#..#..###.#.#.#.##.##.##.##.#.#..#..#####.....########.#.##.####.##.#.##..#.##..#.#.#....#.#.#.##.###..##.#.##.....###.#.##....##.##.######.######.#.#.#....#.#..##.#.#####.#..#.#.#..######...##..#.#.##.#..##.##.###.##.##.##########.....####.#.#...##..####.#....#.##.#.#.........#.#.#...#.#.#.#...#.#.....##.#..#####.#.....#....##..##.....#...#.##....#..#.#.#####.#..#...####.##..###....#...##.....#######################.#.#.#.###.#.####.....######......########.........###########....##..#.##...#.##.#.#.##.#.####...##..#####.##.##..#.##...#.#.....##.#..#.#..##..#.#####.#.#.##.##.....##....#.#..##.#..#.....##.##...#.#.....#.##..##.##...###.###.#.#####.##.....#.##.#.##..##.###.##.#.....##.###.#.#.#..#.##..###..####.###..#.#.####..##..##.##.#.#.#.####.#
#####.####.##.##.#.##....####.#.##.###.#.#...#############.##.#..#..##.####.##.#.#...#.#...##.....###.....###..#..##......##.######.#.###########.##....#####.#........#####.#..##......#.#.....#.####...#.##..#.###.....##.#.#.##.#.##.#####..........##..##......####............##.##....#########.#......##.#........##.##.#.#.#####.........#########....#####.##.#.#.#.##.#..#########.#.#.#.####.##.####.#.....##.###......###.#...#.##.#..##.##.##.##.#.#.##..###########.###.#...#.#....#.#.##.....####.##....##########.####........##.###.#..###.#.#....#.##.#.##.#######.###...##..######..########.######.####.#..#####.#..#.#.....##.##..###.##.##..#.##...#.###..#..#.#######.####.###.#..###....##....###.....#.#.#.##.#.##.###.#...##...###.#####..#.######..##..###..##....##.#......##.###.##.##.###.#....#.#
#.######.#.##.#..#..##.###.##....#######.##.##......#.......#.##.##.#..##...##.#.###.#.#.#..##.##...##.##...##.#######.##..####.#...#######.#..#...####..##.#...###.####.##..##..######.#.###.#...##.###....##.#.#.#####.............#..###.#.##.#.#.#..##.######.###.##.##.####.#.########..##.......####.###....##.#.#.#..##.#####.....#.#.#.####.#.##.###.####......###.####.#.###..#.#.###.#.#.#....#..#.########.#########.#...####.##..#########.....##.#.#....##.#.#.##.##.#...###.####.#.#.#####.######..##.##..##.###.#.....#.##.##.##....#.#.##...######.#.#..###..............#.###.##.....##........##.....##.....###..#.##.#.###.###...##.#....#####.####.#####...##.####...##..###....#.##..###.#..##.###...##.##.###.##.###..#.###.#.#######......##.####.....####..###..##.#..###.###.##....####..#...#.#.#.##.#
#....#.#...##.##.##.#####..#####.#....#############...#####.#..####.##..########.....#.#.########.####.##.#.##.#....####..##......#..##.#.#.##...#.#####.#....###...####.#######..##.##.#...#####......####........##.##.#.###.#.#.#...##......#####.#.##..#......#....#.##.#....###.#.#.#######.#.#.#########.#.###.#.####..##########.##.#.#.#......#...........##.#..#...##..###.##.....#...#.#####.##.##..###...#.#.##.##...##.##..#.#..###.#...####.#....#.####.#............##.##...#....#.#.##.#..##...#########.#........###.######..###.##########.##.#...#.##.###########.#.####...#.#..##.#########.#####.#.########.##............####.######.#.###....##......###.####..###.###.#...#.######...#.#.##...####.#...#.#...##...##.....#####.###.###.####.....###.#....##...#.##..####.....#..###.###.##.##.##.#.#..#.#
##.#.....#.##..#.#..#...##..##.######...#.###.......#.#...########..#..##.....#####.##.#.##........##...###.#######...###..#.##.#.#.##.........###.#.......#####..#.#.....###.###....#..#.####.#..##.###.#########.#...#####.#########..####.###.....#.###.##.##.###.#...#######.###.#.#...###...#.####........###...###....##...#.#....#########.#.#...##.#.####.##.##...#.###..##.#..###...#.#.##.....#..##.#.###...........########...#####..###......##.#...##.#.#######.##.#.##.##.#.#.########..#####.#.#.#.##......##.##.##....##.##.##.....##...#...#....########.##.#.##.#.#.#....#####.#####.#...###.##....#.#....###.######.#.#.##....######.#####.##.#.#..#.####.###....##.......##.##...##...###.#####.##.#..##.##.#.#.##.####.##.##................##.#####..#.#.###.#.#.###...##.#.#.##..##.##.....#######.#.####
##.####.##.#..##.##.###.###.....##.####.#.#.###.#.######.###.#.#...##.##..###.......####.#####.#.#.####.##...##.....#.....##.#..#.########.##.##.....##.######...#####.##.#.#.#.####.##...##...#####.##..#.#..##.#.###.###....#.#.#.##.###.....###.#####....###########.##.#.##..#...#.##.##.#######....##.#.#...###############.#.##.#...#.#.#.###############...#######.###...##....##...#.#.#.###.#.##.##........###.#.###.##.......###...##.#.#############...............#.####.####.###........##.....#...#.#####.#..###..##.##.##.#...##.#.#####.##.########.##.##.#.......#.####.#.....####.#....#.....##.##.######...#.#.#....#.#.###.####.##...#.#.....###.##......##..##..###.##.##...##.##..#..##..#.#..##...###..###.#.##..##..##.######.#.#.#.#.#.#######.##.#.#.##..###.#...#.#..#.#####..#####.##.#.##.####....#
#..#....##.##.##..#####.#.##.##..#.#............#.##.............#.##.###.#...###.#....#.#.....#.#.#.....##.####.#######.###########..##.#.#...####.##..#......###.#...#......#.#.#...#.#..###.#.#.#..#.##.##............##.#..........##..#.#####.##.####.##...#.#.#...##......####..........#.#.###.#.####.#.#.#.....#.#.#.#.#...#..#.###.#....#.#.###.##.##..#.#.#.###.##..#.#..##..##.##.#.###.#.#.########.###.#...####..##.###.#######.##....###.###......###.#.######.#####.###....##########.##########...#.##..####...##..#.......#.#..#####......##.............###.#.#...#....##.#####.....##.#.##.#####..#....#.#.......##.#.###...##....###.....#.#.##..##.###.##..####......#####.##..##.##.####...######.###..####.#.##.####..#..###...###.###.#..#.#....##.#.#..##...###.#.####.#..#.######....#.....#..##..####
##.##.#.##..#####.###...#.######.#.#######.##.#.#.####.#.#######.#..###.###########.#.##.#####.###.##.#.###.#.####........#.#.##.#.##......#.#..#######.###.##.###...####.###.......#...##.......#.##.........#.####.#.#..####.##.#.##.#..##.#.....##...#...###.......#.#..#.#.##.##.###.#.##.........###.############.....#.#.###...##.###.####...............##.#........#.##.##..##.#..#..#.##....###.#.###..#...##.###...#######.#..........##.....#.###.#.##...#.#......#.##...#######.##...........###.#..#......####..############.##.##.##.#..#.#.#########.##.##.....#.#.#####.###..###..###.###################...####.#.##..#.##..#.##.##.....#####.###..##....#######..##.##.####....##.##.#...#.#.#.##.....##..##....#.#..#.#..##.##...#########.##.....##.#..#.##.##.###...###....##.....##.####.##.##...####....#
#..#..#######...###...#.......#.....#.#.....#####..###.###.......######......#......######.....##..##.#...###.#.##.###.#.##.........#.###.##.####.......########.######.#.#...#.#.#.###.#..#.#.#......##.##.#.####...#.##.##.#.##.#.#..##.#..#.#.#.####...#..######.#.#.#.##.###.....##..#.#######.#.####.#..#####.....#.#.........#..###.#..######.#.###.#.#.#####.####.########..##..####.##..####.#.....#...##.###....##.###......###.#.##.#.######.#.#.#.#..###.#.##.#.###....#....####....####.####.......#########....##..###.#.....#####.#....##.#..#.#.######...#####.######....##..##...##...#........##...#.....###....#.#..##.#..##.#####.###.####....##.##.##.###.##..###.##.##...##..#..###.#...#####..###.###..##.#.####...#.##..######..........##.#.##..##.#.#..##...###...####.#..#.#.....##...###..#...##.####
##.##.#...#####..#######.####.#####.....##.##.....##.##########.##..#.######...#.##.##.#####.#..##.#..#.###........##..#.##.#######...##..##.#....#.#.###..#.###.##.......#.#.#.#.###...##.#.#####.#.###..#.#.#....#.#.##.......#.#.##.##.#.##.#.#.#.#..#.####......#####.####...#.###..##.#.......####...#.##.#.##.#.#####.####.#.#####..##.#.#.####.#...#.#.##....#......##.....####.#....######...###.#...###..#...####..#.######.############.##.........#.####.#.#..#.####.#.##.#......#.##....#....#.#.###.###.....######.......#.#..##.#.##.#.####.##.......####.#.....#......##.###.##.#..######.##.##.####.#####...##.#.#.########..#.#.....##..#....#.##...######.#..##.##...####.#.#..##.##...#.#.##.###.###..##.#####.##...#.###..##......####.#.#..#.###..###.####..#.#####.###....#.####.#.####.###...##.#.##....#
#..##.###...#...##.####..#..........#.#..#######.##..............##..........#.#.#.....#.#...#.##..##.#..#####.#######.###..###.....#..##..#####.#########...#....####.#.##.#.#.###...#.##.#.#.....#.#...########.####..##.#.#.##.######..#..###.###...####..####.#.##.......###.#.####.#..##.#######.###...##.#....#.#.....#....#.....##.............##.##.#..##.#.###.##..#.###...#####.###.###..###.##########.##.###.####.#.#..###.#.......#.....#.#.###.#.#....######.#....#..#.##.##.######.###.#.#######......#.#.#....##.##.###.##....###..###.#...#.#.#.#....#####.#####.####...##..##########..####...##........#############.#.#.#####.#.##..#####.#.##.#####.##.#.##.....#####..#.##..#.#..#.#.#.##.....#...##..#......##.#########..#.##.##...#.#.##..#####.....##.##..##.....##.#.#...##.#....####..#.##.###..#.##
##.#...####.###.#.....######.#.##.#.#.##.##....#.###.##.#.#.#.#.############.#.#####.###...#.#..##..###.##.....#.......#...##.#.#.#.##..#####.#######......#.###.##.#..#..#.########.##..########.##.#####.#.#.##.#....##..#.#..#.#......#####...##..#...###......###..##.#.##...#.#..####..#.#.......##..#......##.#.#.#####.##.##.##.####.####.#.##.##.##.#.########..##.#####..###.#.#.#.....######....###...######.#...#..#.##.##....#.#.#...###.#####...#.##.#.##.#...###.##.########.#.##...#...###.....####.#.#.#.##.#....##.#...###.#.######.....#.########.#..#.##########.###.###.##........####.#..#....##.##.####.#.........#....##...#.#####.....#.##.#...........#.##.###....####..#####.#.###.#..##.###.####.#.#.#.##.......##...##########.#.#####.....###.#.######.#..##.###.#.##.##..###.##....####...########
#..#.###..........###........####.#.#.#...####...#....#####.###.##.######....###.......##.####.##..##...##.#.#.#.#.##.##.#.#....#.#.#####.......#.#.####.#.#..........##.##..##....########...#...##.###..........#.##..##.###.#########.#.##..#.#####.#..##########..#####.##.#####.##....##########....###.#.###..###..###..#..##..###.##.##...#.#..##.#######...##..#####.#...##.......#####.#.#..####.#.###..##.##.###.##....#....##.#######.##..#.....#.#..###.#....#..####...##......#..###########.###......#.###.##.#.#.###.#.#.#.#.#...########.####.......##.#.#.##.#.........#.###..##.##.##.##...##.#.#####..##.....#.###.#...#.####.####.##..#.#.#.#..##.#.######.#.##.##..##..####...#.#.#.##..#.#####....##..#.#.#.#..#.##.###.#..##........#....##.#.#######.....#####..###...#.##.##.##....##.#..##..#......#.#
##.###.#####.#.#.#####.##.##.#....###.#######..#.#########...####.........##.##..###.#.#..##...########.############...#.####.###.###.#########.....##.#.######.##.#.##..##.######.##.....#.#...#..#.#...##.#.#.######.##...##.#.##.#.#..#..##.###.#...##.#..........##.....#####.....##.###.##.....####...###.###.#######.#####..#####......##.#####.##.#.......#....##.....##.#######.###.....#.#.##.##.#.#.#.##.........#..##...#.##..##.####.#..#####.##.#.####.##.#.####....###..#.#####.#.###.....###.#.#.#.####...##.#####...#.###...#####.........##..####.##...........##.#.##...#########........#.######.###.##..##.##.#...#.#.#.##...##......####.#.##..#.######.....##..##.#####....#...###..####..##...##..##.#.#.######..#.##..##.##.###.##.#.##.##.#.....##..#.#.#.##..#####.##.#..##.####.##..#.##..##.####...#
#####.....######.##..####.##.##.#.##..##......#######.#.#..###....#.#.#.#.#...#.##...######..#.#.....##.#.#.....#.###.######....###.............#.#......##.....##.#.###.##.#.........#.#...###.####.##.##..#.###.......###.####.#....#####....#.....#.#..########.#..####.##.....###....##...#####..#.#####.....###.........######.....#.#.##..##....##.#.#.##.####.#######.....#.############.............#.#....###.###...##..###..####...#...##.#.#...##.####.######..######..##.####...........###.##....#.#..####.##..##.###.####...#..##...#.##.#.####.#....#..#.#.#.###.######..#...##...###.##.##.###...##.#....##.##.##.#.#.#.###..#####..####.##...#.#..####......#.#..#.#####.....#.##.#...#.##....##..#.##.##..#.#...###..##..##.#...###...####..#.##.###.#####.###.#.##.##.....##.##..#..#####..##.#..##...###.#.#
#.....#.#.....######....#..#.########.##.##.###.##........#######.#.#.#.#.##.##..###..#.####.#.#.###......##.##.........##...#.####.#.##.######.####.##.####.#.###.#..##.##.#.####.##.###.#.###...#########.######.##.#..##.#.#....##.....###.###.####.#####.......####....##.#.#.#...#######.#.#.##.#.###...#.#############..#.#####.#.#.#..##..##.#..###.#.##..##....##....#.###.#..##..###...###.#####.#.....##..####...#..##...##.#.#..#...###..#...#.#...##...#.....##.##...#####.######.##.######.#..#.##.#.##....##.##.........##.###..###.#.#..#..##..#.#.#####.###.#...#......##.#.#..#.....##.#...####......#.##..###########.######.....#####..#####.##..#######.##.#.#####..####.##..####.#######.####.###...##.#.#####.##..#.##..#.#.##..#..##..####....#.....####..#.....###.#..###..###....#####..##..###...###.#
#####.#.#.#.#.....#####.#.####.#.##.###..#..#......####.####.#....###.#####..###.####.....########.###.#####.#..#.#.#.#.#..#.####...#.####.#.....#.#.#####.###.##..##.#..##.#.##...#..#...#.#...###.#.......#......#..#.##..#...#.####.##.......####...##..##############.#######.#.#..##..................#.#.###..##.##.###.........#.#.#.####..###.##...#.##.####.######.##.#...##....##.#######.#..####.#.#.##.##....###.####.#####...##.#########.##.##.#####.###.#.#.....#.#..#...##########........##.#..#######.####..#.#.#.###...##.####.###.##.##########.....##..#######.##.##.#.##.#####..####.##..#.##.#.#..##...##.#.#.#.......###.###.....###....##.##........###.#.#...##.#...##.#......##....#.#....##.###.###........######.#####..###..##..######.#.#.#..#.##.##.##..##.##...##..##.##....###.##.###..#...###
#.....########.##..###....#.#...........###.####.########......#####..##....##...#..##.#.##.....##.....##....##.#.#.#.#.####.##...#.###.##...#.#.#...#.#.#.##..##.##..##.##.####.#.#.##.#########...####.#####.###.##.#.#..######...##.###.#.#.###...#####............##....##....####.#########.##.###.########.##.#.........##.####.#.###....##.#...###.##.##.#..#..#.#...#..###....##....#.......##......#.#.#...##.#.#...##...#.##..########.#.#.#.##.#...##...#...#.##.#.##.##...#......##.########.###.##.#.......#.#######.#.#...#.##.#.....##.#..##.###.....###.###.##......#...#.######.....###.#####...####.#.####.##......###.##.##.#######.####..####..###.###.#.#.....###......#.#####.#.#.###.#...##.###..#.#.###.#.#.##.#.#.##.##....##.#.####......#.###.##...##.##..##..#.#..#.##.##..####.##.#..#.##..###.####
#.#.#.##........##.....#.##...#.##.#.##.##..#....#........#.##...##..####.#..#.#.##....#.#..#.#....#.#..##.#.#..#.#.#.#.#....#..#.#.#......#.#.#.#.#.#........##...##.##.##..##..#.#.#..##........#......#.....#...##.#.#.##......#.##.#...#.#.#...#.#.....#.#.##.#.#....##..##.#.#....#.........#....#.#.............#.#.#.#..#.#....#.#...##..#.#.#.#....#..#.##...##...#.##...##.#..##.#...##.#.##..#.##.#.#.##.##..#.##.##..#.#....##...............#.##.##..#...#.#.##.#..#.#..#.##.#.#.............#...##.#.#.#.#.#.........#.##.##.##.##.#.##..##.##.....#.#.#...#....##.#.#.#.#.#.....##.#.#.#.........#.#....#....#..##.#.#......#....##......#....##....##....##.#.#.#.#.#...#.#.##...##..#.#..##.#.#.##.#...##.....#.#.#.#.......#..##.#.#.......##.##.##...#..##.##...##..##.#.##.#..#..##...##.##...##..##.##.....#
##############################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################E#

#S################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################
#............#.#.#.#..........##..##..#.##....#.#.##.......#.#...##........#.#.#.##.#.#.##..#..##.##..##.#.##........#.#.#.##.#.#.#.....##.#.......#.......#.#.#.#..#.#.#.##.##.##.#..##..#.##.#..##.#.#..##......#...##.#...#.##.##.#..#..#.##..##..##...##........##.#.#.#.##.#.##.#.#.#.#.#.##..#.#...##..............##....##..#.....#.#.#.......#.#..##.#........##.....#.##.##.##.#.#..##.#..#.##.#..##..#..#..#.#..#.#.##..##..#.#.#.####.##..#..#...#...#.#.##.##.#.#....##....##.#.##..##.#..#.#.#.#.##....#.#.#.##.#.##.#.#.##.#.#.##.##..##..##.##.##.##...#.##.##.##..#.......##.#...##..#.##.#.#.##.##.#..#...##.#.##..#.#..##.#.##...##...##.##.#......#.#.#.#...##.#..##...##.#.##.#.#.#..#.#.#..#...##...........##.#..........#.#.##.#...##.#.#...#.....##.#.#.#.#.#.##.#.##.#.#.#.#..#.#.#.....##.........##..##.##..#...##.....#.#.#..#.#.#.##....#..#.##..##.#
######.#.#.#.........#.#.#.##.##.##..##..####......#######.#.##.#########.##........#.#..##.##.#...##.#.......#.####...#.#.##.....#####......#####.#######.#.....#.##.....##.#...#.##.###.#.#..##....#.##.#######.##.##..###....#.#..##.#.##.#..###.##..#.####.#.##..#.#.#.#.##...##...#.#.#.#..##.#.#.############.##.#..####..##...###.......#####.#.#.##..########....#.###.#......#.#.##..#.#.##.#..#.####...##.##...##....##.#..##...#..##...##.##.###.###.#...##.##.#.####..####.#.....##.##...##.#.#....####...#........##........#.#.##.###.#..##..##.##.####.#.#......##.####.#####.#.#####.#..#.#.......#.##.#.####....##.#.##.#..#.#..#..###.##..#.#.######.......###..##.#..####...##...#.##.....#.##.########.#.#####....##.##.##.....##...###....#.###.#####..#.#.#.#.#.##.#....#.#...#.##.#...#.######.###.#..##..#.###...########.....##.#.#....##.###.##.##.##..#
##.#...#####.##.####.#.#.###..##.###..#.##.##.##.###.##.#........##.##....#########.#.#.##.......###....#.#.#.########.#.#.######.##.#..#.####.............#####....##.##....###...##.......##.#####......#..##...##.#..#######.#.##.##.#.#..#.###..###.###.########.#.#.#.#.##.#..###.#.#.#.#.##.......##...#...##.#..##..##..########..#.###.#..........##.###.#######.###.#.#.######....#.##.#..#.##.#.##.#.###..####..####..#.#.#####.#.##..#..#.#..##......#.###...#.#.#.#..##....#.##.##..##.#.#......##..##..#.####.########.####.#.#.#...##...###.##..##...##.#.##.###.#...#....###..#..#.#....##.#.#######.#..#......####..#.#..##.#.##.####...##.##.#..#.#.#.#######.##......##.#..#.##.#...#..#####.......##..#.###.######..######..########..####.##..##.##.#..##...#.#.#.##.#.####.#.###..#.#.#####.##.....####.###.#.#.###..#..##.#.######.....#####.#.#........##.#
#..######.....###############.....###.#....##.#..#.#.##.##.#.#.####.#####..##..#......#..#######.#####.##.#####.............###....#.##.###.##############.#.#.##.##########.##..#..#######.##..#######.###.#####....##..#.###.....#.##.#...##.##..##....##..##.#..........#.#####.#.....#...#.########..###...###########.#..####.##.####.#######.#.###.##..........#....##.#.#..########...##...##.......#.#.##..##.##.##..##.#.#...##..#.#..##.##.##..###.##.....##.##.#.#.##.###.######..##....#.###.############..##...##...#####.#.#.#.#.######.#.#..##.#..####.#.#...######.##.###.##...##.###.##..#...##.##.##...##.###.#..##.##......#...#.###.##.##...##.#.#....###...######......##.#..###.##.#.#.##.########...##.....##..###.###.####.#....##..#....##...#.##..##.##.#...##.#..#.#.#...#.##.....##...##.####..###.#......###...##.....#.#.#.#####.#.#...#.####.#....#
##.#..#.#######......##.##.###.####.#.#.#.######.#...#...###.###.#...##.##.###.####.#.#.##..##.#...##...####.########.#.###.#.#.##.#..####....##...#.#.##....#.##....######..#..#####.##.#...#.##...#.#.###..##.####.##.##.#...###....#.###.##..#.######..##..#.#####.####.#..###..#####.#.###..##.##...##.###...##......#.##.#.#..#..#....#..##...#.##...####.#.###.###.###.#...##...##...###..##########...#.##.###.##..##.#..#.#.#####.#.#.##..##.#..##.######.####.##...#.#...##.##.##..#####.#####.....#..#..###.##..#..##.##.#.......#.#.#..##..#.#.##..#.##.#......###.#.#..##.#.#.###.###..##.###...#....##.##.#######..#.##..#######.#.###.#...#..###.##......####...###......#############.....#.#.##..#....###.##..#####..###..#.####.#.##.#####...#####.###..#.##...#.#.###..#.##.#...###..##.#######.#..#..##..##.###.####...#######.##.#.............#.....####.##.#
##.##.#.##.##...#.#.##..........##..#.#.###....#.###.###..#...##.##.##..#...##..###.#....##.##.#.#########.#...#.#....#####.#.####...##..####.####.#.#.#####....#.####.##.##.#.#####..#..###....###.#.#...#.##..###...#..#.##########.....#.###.#..######..##.#.#.....###....##.##.#.###.......##...###.##.##..#..######....#.#.##.##.###.###..##########..########....#.#.#.###.##.#####.##.##.###....####.##....##..##.###.##........##.#.#####....##.##..##.##.#.#...###.#.##.##..#...##...#.#.#.##..##.##.##.##....#####....##.####.##.......####.#.#.#..##.#..#.##.###...#.##.........##...##.##.....#########.#....#.#.#.##.###..##.##....##..###.#.##.#.##.#######.##.##.##.###.#.##....###.#####.#.#.##.##.####....##.#.#.##.#.##.#..#.#...##..#..#.#.....#...##....##.##.#.#.##.#.#..##.##.#.##.....#.##.#.##.##..##..##....##.#...#.##.......#.#.##.########.#....#.##.#
#.......##.########.#######.#.#..##.#.#..#####.#.#....###.###.#..##.###.###..##.#.#####.##..#..#..#.#.#....###...####.##....#.##.###..##.#.##.#..............##....#.#.#........##.##.#.##.###.##.....#.###....##.###.#.##.##....########.#.#.#.##..#..##.###...####.##.####.##.##...#.##.#########..##.....####.##.#....##.#.#.#.......###.##..#.#.#.#.#.##..#.#.####.#.#.#.##...#.#.#.#.##....#.###.##.##.###.###..##....#.######.####..#.##....##.....##..#........###.#...##..##.###..###.#.#.#..##..####..#..####...##..#.###.#.#..#####.#.###.......#.###.#.#####...###.#..###.#######..###..#..#######...##....####.#...##..##.###.#####..##.#.#.#.##.#.#..............#.####......#.####...#.#.#.#.#.##....#.####.###.....##......#.##.##.####...####.#####.####.####...#.#...##.....##..##.#..##.####.##.#..#..##.##.##..########.##.##.#####.#.#.##.##....##############
#######.#...#...............#.##....#.##..#.#....####.#.#.#.#.##..#.#.#.#.##.##.#..##....##.##...##...####..####.##.#######........##......##.###.#.#.#.##.######.##.#.######.####.##.#.#...#...#####...#.##.#.##.#.#.#..#.#####.#............#.##.##.##....#.#...####.......#..####....#..#.###..#.##..#####....##.######......######.###..###............##............#.#.####.#.#.#.#.####.##..#...#.##.#.......####.###.#.#.#.....##.#..###.#####.#####.#.####.#.#.#.##.##..##....#.##.#.....#.####..#...##.##....#######.##..#.####.....###.#######.#.#.#.....##..###.#.##.##...##...#.##.##.##.#.#.#.###.####.##..#.#.###..##..#.#.#.####.#..#.#.#.##.#...#.#.#.######...#..####.###.#.####.#..........#.####..##..##..###.###.#####..#.#.....#.###.#..#.#.#..#.#...####.#...###..#######....#.###.#.##.#..##.#.###..#.###..##.##....#.#.....##.#.#.#.....##.#.#.##.#.##..#
##.#.##.###.##.#.##.##.###.##.###.#......##.####......#...#.#.###.............#...##..##.##....#..###.#.###....#.##.##..##########.######.##..################....##...##...#..#.#.##...###.##.##.#####....###.##.#.....##..###..############.#.#......##.######.##.########.#.##....##...##.#.##.#..##..##.####.##.##...##.###.#.#..#.#.##.#.##.####.####..######.#.#.#...#.#.##.#.#.#.#.#..#..##.###.#.#....##.#.##......#.#...##.####....##.###.#.#..#.#..####...#.....##.##.######....#.##.####..##..##.###..##.##.#.#.##...##...#..#####..##.#.....#.#.....######.####...##..#.####.###....##...........##..#.#....##.....##.###.#...#........##.#.#.##...#########....#.###.##.##........##..####.##.####.#.###.###..##.#.###.#.#.#.#.##...#.#.#...#.##.#.#.#.##...###..#...###.##.#..#.#..#.##.##..#.##.#.##....#.##.#.#.#.##...##.#...#.###..###.#.##.##..###.#......##.##
#.......##..##.#.#..#...##.####.####.###.##....######.###.#....######.#######.###..#####..#######.#.#....#####.#.##.###.#.#........#.#....##.##.###....##.##.####.####..###.##.....####.##.....#..#..##.##..#.....#####....##.##.##.#.##.##.#...#####.##..#.##.#.##...##.......####.####.##..#.##...##..###.#....##.##.######.....##.#....#.#.#######.#....##......#######.....##.#...#.#.##...###..##.#...############.####.###.##.##.####.##.##......##.#.###.###.##.##.##.##.##.....##...#..#..##....##....#.######.#.#..###..##.##.##...##.##.#####...#.######.##...#.##.####.#..##....#.##.###.############.....######.####....#.#.#.########..#.#.#..#.####.#.#.##.########.##.#..#.########.#.####....#.....##..###..#....##.#.#.#.#.#..#######.###..#........#.###.##.###......#...##.#.##.#...##....#.#.####.##.##...#.#..##.######.##...#.#################.#.#######..#
#.#.###.###.##.####.#.#..#.#.........#...####.##.##...#.#.####.#..#####....#....##.#.#...##...#.....###.##.##........##...########.#.####.#.....#.#.##.........##....##.#...##.#####.#..##.###.##...##...##...###..##.#.#####.##.#.....#.##.###..##......##.##.#..##.#######.#.#..#.##.#..##.#.###.####.#.#.####.##.##....#######......##...#.#.....######.##########.#.#..##.###.#.###...####...##..#.###.#.#..#.##.....###...........#.#..##..######.#....##..########.....##..##########.#.##.#####.###.####.####.#.#.##.#.#.##..#...###.#..#...#.####....#.##...#.###.....#.#.#.####.###.####.#....##.#.#.#..######.##..#.#####.#.###..###..###.....#.##..#.#......#...#.#....##.#.#####...#.#.#..##..####.######.##...##.#####.#.........##.##.##...##.#.########.#.#.##.##..######.###.....#.#.#.##.##.....#.##.....###.#.#.###..#.##.....#.###..###..##....#.#.#.#.......##
#.####...##..###....#.#########.####.###..##...#..###.....#.##.#.##..##.##...##....#.###.####.###.###.......######.#..###..##.##..........#####.#.##########.#....####....#.##..#.##.##.##.#.#.#..###########..###....#.##.#..##...#.#.#.##.#.##..######....##...###.##.##.#.#.##.###....##..#.#.....##...#.##...#...###.##.#.#.###########.#.#####.##......##..####....#####..#.....##.###.#..#####.#..##.#.#.##..#####...#######.#####...####.###......####..##.##.######.####..#.#.#.##........##.....#...##..##....#.##...#..##.###..#..##...#.#.#..###.##.####....######.........##...#...##...####......##.........##.#..#.#.....###.#.#.##.#####...##.##.#.##.###.###.##.#.......##...###.#...####..#.#.###..#.####....#.##....#.##.##.......#..###.........#.#.#.#.##.#..#####.#.#####.#######.#####.#####.#..#######.#.#.##..##.#..##.#####..##.##..####.#.#.#...####.###
###....#.#..#############.##..###########..###.##..######.#.##.#.###..###..###..##.#.#.#...#.......###.##.###.##...##...##.#.....####.#.#..........#.##########.#..##..####.##.##.##.#...#.#...##..##.....######.####.#.##.##.####.#.#...........##.###..#######..#..##......####..#####..##...#.#####..###.##.#...###...#......###.....#.#.#.#...#.#######..##.#....##.#.#.##.#.#####...##.##..##.....##.......##..#.##.###.#......#..#.#..#.....######..####.#..#.....###..##..##......#####.#####.#####.###..##..##....###.#.##..#.##.##..###.#.#...##.#.....#.#.##..##.###.#.#.#.##..###.######..#.##.##.####.########..#.##.##.####.#.#.#.#..#.#.#.###..#.....#####..##.########.#####.###..#.#.##.##.......##.#.#.#####...#..#.#########.######.##...#.#######.....#.##.#.###..#.#...##.....#.#...##.#...###.#.##..##.#.....##.##..##.####.#.##..#.###..##..#.....#...######
########.#.##..###.#.#..#..##.......##.###.###..##.#..#......#...#.#.########..##........#.#######.#.###.......##.#####......##.##....###.#.#.#.##..........#.####..######...#.##..#.##.##.###.#..######.##..##...#.....##.#....#######.##.#.###....#.##..#.#.##.##.########..##..##..##.#####....#####.#.#..#####.#####.######.#.#####.#...#.###.#..#.#.##.##..#######.#......#.....###....##.######.######.##.##.##....#...#####.##.#####.###.#.....#..##..#.##.#####.#...####..###.#.####....###..##.##.#.#.#########.##.#.#.##.##.##.#..######.#.#....#.#####.#..#.###.#.#.#########..##...##.##....#.####....###.##.#.##.##..#..##......#.##.#.#...####...##.###..##....#.#.......##.....##.###.#.....#######......#.#...###.####.#####.#...#.##.####.###.#.###.#####.##.#...##.....#####.####.###.#....###.#.#..#.###.####.##...##..#...........##...#.####.#.##.##.#..##.##
#.#..###.#..##.#...#.##.#.##..#####....#...#.##.#..##...####.###.#....#.#.#.######.###.###.#..##.#....####.###.######.#############.#.##..#.###.#..#.#.#.##.#.#####...#..###...###.#..#.####.#.##..#.##...##..###.##.####..#.####.#.#.###..########.#.##.##.#.##.#....#.#....####.###.#...##.##.###..##.#...##.....#.##..#.###....#.#...###.#..##.##........###..#..#.....#.##...#####.###.###.#.#.#..#.###...#.#...####.#.###..##.##..##....########...####.#.#..##....###..#.##..##.####...##...##.##..#.#....##.##.##.#.......#.##.#..##.#..##..#.####.#.##.##...#####........##...###.##.###..#..#.##...####.##....#.#.#..###...########.#.##...###...##.######.##..##.###.#######..##.####...#..##.######.##..##.###.#.#.##.....#..##.#.##.##.##..#....##...#.#.#.###.##.#.#####.#####.#....#..##....##.#.#.#.#.##.#...##.#..##.####.#.#############.##.##.#.#..#.##.####...#
#.##...#.#.###.###....#.#....##..#####.###.#.##.##..#####.##..##.#.####.#...###.########...#.##....####.####...#.#.#....#.##...##.###############.########....#.#.###...##.#.#..##.#.##..##....###....##.####.#.......####.....##......#####...........#.##.#.##.#.####.####..##...##.#.###...#...##.##.#.########.#..##.#.#.####.#.###.#.#.##.#..#########...##.##.###.########.......##..##..#.#.##.#...###.#####..##..#..###.#..##.######..##.##.###..##....#.######...##...###.##..##..#####.##...##.....#####.........###.#....#.#.###.#.####.#.#.......#....###.##..####.####.#...#.#..#.##...#####.###.#..##.####.#.#.##.###.##..........#.###...###....#.##.#..##....#.##....#.##...#.###.#.###.#.......##.#####..###....#####.##.....#.##.##.##.####..###.#.#.#.#.##.#.#.##..#.#.#...####.##..#######...#...##.#.####...##..#.#........###..#.#...#..#.#...##..#..####.##
#..###.....##..######.#.####..##....##.....#.#.....###.#.....###.....##...###.#..###..##.#.#.#..##..##..#.####.#.#.####...####.....#.#.#.#.##.#####.#..######.#.#...##.##..####.##....##..###.##.##.####..##..######.##.#..#.#..##.###.#.######.#.#.##....#.#..#.#..##...#.#.####.##....#.###.##.##..#.....#.#.#...#.##..#.#.##...#..#..#.#......##.###.##..#.........####.#.....#######..####.#.#.##...#.#....##...####.#.##.#.##.##.##.##..###..#..###.#####...####.###.##.###...##.#######.#...###.#..##.##.#.##.#.##.###...###.##.#.##..#..##..#######.###.#####...##....###..#####.#.##.#.##.####........##.##.#.##......#.##...##########...#.###...##.###..#.##..#.####..####......###.##..#.##....########.#.#.##.##..##...###.##.########.#...#.##.#.##...#.#.....##.#.#..##.....##.##.#...##..###..##.##.####...#..##.####.#.#.#.##.###.##.#.#.###.##...##########.##..#
##...#####.##.##.#.......##########..#####...###.#.......#.#...####.####.##.#.#.##.#.#####.....###.##..##..##....#.######...######.#.#.#.#..........#.##.#......###.....##.##.#..#.#.##..##.#.....#..##..####.#......##.#.############.......############.#.##...##..###..........#####...###.....##.###.###...###.#..##.#.#..###.##.#.##...##.#..#.#......#########.###.#.#####.#.##.##.##.##.#...####.#####.##..#.#.......#.#..#.#...#.#..##.##.##.#....######..##..#...##.#.###.......###..##.####.##..###.....################.##...###.#.####..##.....###..#..###.#..#######..##.#.#..#.#.#.....##.#####.#..##....####.#.#..##.##.#.#....#.###...#.###......##.###.....###..#.#####.##....##...##.##..##.#.#..#...##.##.####.##.#.....#.#.##..#.###..#.#..##.##...######.#...###.#####...#.##.###.##...##..##.##.###.#.##....##...#.#######..........##.#..#........##.....##
#..#..#.....#.##.######.##..###.####..##.##.##.#.##.##########.#.##..##..##.#.#.#....#.##..###.#...###..##.#..##...#..###.###.##.....#.#.##.##.####.#.#..#####.##.#####..#.#....####..#.##..#####.#.####.##.#.######..#.#...#.######.#######..##......#.....##.#.###.#.##########.#.#.#.#.#.#.##.###..##.#.###..##.#.##....#.##.#......##########.#.########.#.##.#...#......#......#..#.#...#.#.###......##...#.#########.##.##.#.###.#.##.#...#.##.###.##..#.##.###.###.##...#.#.###.###.##.#..##.#..##..##.#.####.##.##.#.###...##.###......#.##..#####.#.#.##.##...##.#.....##.##.....##.#.#.##.###.#.#.####....#.####..####.##.##.....##....####.#.....######..#.##.####.##.#.##..#.##.#######.##.#####..#.##.#.####.......#.##...###......##.#.#.#.##.#.###.##.###..##..##.##.#.#.####.##.##.#.#.#..#####.#...#.##..#.#..#.##..###..#.##.###.##.###.#....###.#.###..##.#####
#.###.#####.#.##.##.#.#..##.#.....###........#.########.#.#.##.#..##..##.##.#.#.#.##.#..#####..###.#.##.##.#####.#.#.##...#.#..#####.#.#.#######......##.#..##..#.#.#.##.....##.#.###.#.##.##.#.#.#.##.#.##...##...##.#.#.###.#.##.......##..########.#####....###.....##.#.##....#.#...###.#.#..#.##.##.....#.##.....####....#.######.#..##.##.....#.#.###.........#...####.###.####.##.###.#.#.#.####.###..###.#.##...##....##...##..#.##.###.#.##...#..##...##..#..##..####.....#.####..#..##..#.##..#.###.###.#..##.#....#.###..#.#.####.###....##.#.....#.##..##.##....######.######..#.#...#####.......#.#.#######.##..##...#.#########.##..##..#.#####.##.##.#.##..##..##.#..##.#.....###....##...####.#.##........##########.#####.######..#........#.#.#.#......##..###..#.#.#...##..#.##...#.#.##.##..#.###..##.#...##.###..##.##.....#####.#.####.#########.####..##.##
####...##...#.##..#.#.#.##..#####.#.########.#..##.##...#........##..###.##.#...#.#....##.#.##.#.....##.##...#.###.#.####.#.##..##.#.#.#.#.##.#####.#..#.##..##.......######.#....#.....#..##.....#.##....###..###.........#..#..#######....##....#.#.......##..######.#.....####...###..##.####....#.##.##.##.####.#.##.####.#.#.#......##..##.#.#...#.#...#.##.#.####.#....##..####.....#..#...#..#.#.#.##..##.#..###.#..######.####.#....##..#..###.##..###.##.##.####.#.####.###.##.##...####...###...##...##.##.#..##.#...#.#.##.#..#.#.#.##.#.##.###.#....#.###....#####..#...##....##.###.#.#.##.######.#.###.##...##..##.##...##.##...###..#.##.##.#.....##.#..##..#.##..##.##...##.##...##.#..###.#....###.#.##.##...##.#.#.##..#.###..##.#.###.#.##.......########.##..##.#.#.#####.#..#.###....#.##.##..##.##..#.####.#.##.......#####.#......#.#.##.#...#...##..##...#
##.###..###....##.#.#.#.##.###.......##.##...#.##...###.########.##.##....#.#.###.##.#..#......####.###.####.#.###....#...#.###..........#.#...#.#####...###..#####.#..#.#.######.###.#...#######....####.#.##...#########...##.#######..##.##.##.#...##.#.####..#.#...#.###.##.###...##.#...#.####.#.##..#.#...#.###.....##......####.#####.#..#####.#.###.#.##.#.#.#####.#.###....#####.#.##.#.#.##......#.###.##..##.##...##...##...####..##.#.##......##......##.####.#.#.#...##.##.####..#.##.##.###..##.###....##..#####.#......##........#.#....#######.##.#.#.######...##.#######.##.#.#...........##..#.#.#..#.####.##..##.###...#####.##.#....##.#.#####....##..##..##.#..####..#########.##.#.#.####.#.#.#.##..##.###........####.##.#..#...#####..##.##..#...##...##......#.#.##....##.#.###.##.#..#..###.###.#..#.###.#..#.#.#####.#.##.##.##........###.###..##..###
#..#.#.##.####.##.....#.#..#.###.###..#.####....##.##.#.#..#.....#...####.#.#.#.#######.##.#.###....#.#...#..#...####.###.#..##.###.#.##.#.###.#...#.###.#.#.##.######...#.##.#.#..##.##.###.#..##.#...........####........#.#..##....##.#...####.###########.##.#...#.####..#..####.##....###.#.#..#.#..######.#..###.##.##.##.#..###.####..#####.##.#..####.#..###.#...###.#.###.##.#...#.##.###..##.#.#...#.#..#.##...##.#####..###.##...###.#.#######..######.#...##..#.#.###.#...#.#.#..##.##..#.##..##....#.######.###.#.#.####.##.###.#########...##.#...#.#.#........#.#..#.#......#.....#.##.##.#####.....##.#..##...##..#.#.###..#.#.......#####.#..#.##.######..##.##...##....###.#.##........#.##.#.....#######..##..#.##.###.....#.##.#.#####...###..####.######.##.####...#.#####.......##..#...##.###...#....##.##..#.########.#.#.##.######.#######.#...##.##.####
##.#.#.##.......#####.#.##.#..####.##.#.#.####.###......##.#.###.##.##......#.#..##.##..#######..##.#.###.##.#.###......#.#.##..########.#.#.#.###.#.#...#.........#.###.#.##.#.#.#####..#.#.##.######.#####.####...##.###.####.#####.####.#..##...#.####.#.#......######.##.##.#.#..###.#..##.#.##.#.#.##.##...#.##...#...#######.#...#.#..####........##.#######.....#.##....##...#.###........##....###.#.#.##.#.####.##..#.#..##....###.#.#....##.#.#.##.#.##.###..##.#....##.#.###.#...##...#.##.#..##..####.#.##...#.#.#.######.#####...#.##...###..#.##.##.....###########.#.####.#...##.###########.##.######...####.##..##....###.#.##.###.##.##....##..#..##.##.##...###..##.###.....#######.###.#..#####..#####..##..#######.#####.#.#.....##.###...##.......#.##..#.....#####..##...#######..##.#.##.#.###.##.####..##.#.##..##.#.#.#....#.#.##...........####.....#.#
#....#..######.##.....#..#...##............#.....######.##.####..##..####.#...#.##.....##.#.#...###.#.###.##.....######.#.#.###.#.##.#.......#.##....###.#########.#.#............##.###.#.#.##.....####.##...##..######....##....###..######.####.#..##....######....##...#.##.#...##.####.#..#.##.#....#..##.##..#.#####.######..#.#.#...##..########.#..#.#.#########.##.##....#....###.###########.#######.##....##..##.##.##..####.##....##.###....#.##.#........###.#.####......#.##.####.##..#.##.##.###...#..###.#...#.##.....#.#...###.##.#####.##.#..##.###..#......##.......###.#.####.#..#..##..#.......##.##.##..##..###.##.#.#..###....#.#..#####.##.##..##.###.##...##..#######...####...##.##.##..##..##.##.#..###.......###..#.##.####...##.##########.#..##.#.###.#...##.##.###.##.###.#..###..#.#.#.#...#.##....#..##.##.#.#.#.##.....#..###.##.####.#..#.#.#.#
####.#.####....######.##.#.########.#.####...###.#.##.#.#...#.##.###..#######.#.###.####....###.#...#......#####.##.#.#......####....###.###....####.....#.###.#.#.#.######.#####.##..#..#.#.####.###.......#..#####.#####.######.#...##..#..........######........#######.#.#..###.##.###..##.#.##.#.##.#.##..##.#####....#.##.##.###.###..##..#.........##...#.#..........###.#.##.#..........##..##.#.###....####.###.#..##..##...##.#####.#..######.#.##...#.####.##.....##..###.##.##.#.#.....##.#...#.#.##.##.###..###.#..#####.#.###...#.#...##.#.#....##..####.#.#########.#########.#.##...##.####.#.########..#.###.#..##.#.##.#.##.##..##.#...##.#.#.....##..#.#.#..###.##.##.#..###.##..###..#.##..##....##..#....##.##.#.####.##....#......####..#..#.##.####.##.#.#.#####.##..#..##.....#....###..##.#.#.##.##..##.###.##...#.#.#.#.####.###.#########.##.##.#####.#
#.#.....#.####.#..##........##.##.######...#.#.....##.#.###...#...#..##....#..#.#.#.#..#.##..######...###.##.##..##.....###.##..####.######..##...######....................#.....###.##.#.#..##....###.######..##.#.........#.##...#####.#####.####...##.##.#####..###.#..#.##........#.##.##.#..#.#..###..#.###..##.####...#......#....#.####.#########.###.##.###.###.##.#...######.####.#######..#.#.#.####..##...##.##..#.##..###...####...##.#.......#.#.#####..######.#####.#..#.#....###.####.#.#.........#.##..####.#.##........##.###...###....##.#.##.##.####...#.#.#.#..####..#.....##.##..##.#.....##.##..##..##...###.#.#.....#..##.#..#.####.....##.##..##.#.#.##...##......##...###.#...##..#.####.#..##.#.#####....#...##.#####...###.###...##.##.....##...#...#..#.#..###.#.####.####.#####..##......##.###.#......##.###.#.#.#....#.....#..###.#..##.....#.#..#
#.#####.#.#.##.#.##########..#.##..#.#...#.###.###........###.###.##..####.##.#.#.#.#.######...#.##.#.#...##..##.###.#.####.##.##.......#.#######........####.##.##.#.#.#.#####.#..##....#.#.####.###.#####..##..#.##.#.####.#.####.##.#..#####.####.####.##.##....##.#.##.#.##.####.#...#..#..##.#...#####...#.#.##...#.###.#.####.####.#..#.#..#.###..#.#.#.##.#.###.###..#.#####.#######.....#.##.#......##..##..###.....##.###.#.##.##..###.#..######.########.##..###.....##..#.##.##.###....##..####.#.######..##..#...#..########.##...###...#.##.##.####......#..###...#.#.##..##...######..#.##..#.##.##...##..##..##.###..#.#####...##..##.#.##.#.###..#.#..##..#.#..###.#..########.##...##.##..##.##.###.##..#.#.#.#.#########.#.#.###...###.##.###.##.#######.##.###.##.##..##....#.#.##.....#.##.#####.####..##...#.####..#.#.......#######.##.##.#.##....#####.##.#
#...###...#.#....##.#..#.###....##...#.#.#...######.##.##.##....#.#..##.......#.#.#....##.####...########....##....#####....##..#######.#.#.......#.#.##.##.###...##########.#####.#####.#.#.#.#......##..##.#..##.######.#.....##.......##.....#....##.#..#######..#.#.#..#.####.######.##.##....##.###.##.#.#.#..#.#...#.#.###.#.....#...##.##.#.#.##.#.#.#..#.#.##..####.####............#####.#....#.##.##.##..##.#####.##.#.#.#.....##..##.#.##.#.##.####.....#..##.#####.###...##.##..###.#####..#.#.####..##.####.###.##.#.#.###.....#..####.####.##..##..##.#.#.##.###.#....##.####.###..##.#.###....#####.##..##..###...##...##....#######..#......###.#####..##.#...###..##.#..#.##...###.#...##..#....##...#.##.#.#.#.#.#.##....#.#..##.####..##.#.#.#.....##.......##..#..#.######.#....###.###.#...#.#...##..##..#####..##.....#####..##.######.##.#..##.###..##.##.#
##.##.###.#.####.##.##.#...####....#...########.....#..##.###.#...##..###.###.......####..#..##.##.#.#..##.#..##.##########.##.##..##.#.#...#.#.#####..###......#####..#.......#....#..#.#.#.#.#.########.##...###.#.#.#....#.#.##.#####..####.#####.##...###.#.###.#.#.##....##....#.#.....#####.........#.#.#...######.....##....###.###.##.##.#.#.#......##.#.#..##.#..####.#.##########....#..##.#.#.####..##.##...##.#..#.#.#.#####..##.##...##.#.##..#.#####.##.#...#....#.##.##..###.#.#.....##.....##.##.##..##...##.#..#.#.#.###.######.##.##....#.##..#######.....##.###.##..#.##.#.##..#.#.#.#.#####..#.###.#..##.#.###..#######....#.#..##.###.##.####..#.###.#.###.#.##..#.##..###..##...####.##.####..#.#..#.#.#.#......####...#.##...#.#.##..#.....##.#####.#######.#.##..#.###...####.#...#.##.##.##.####..##.....##.#..#####...##.......##..#....##....#.##.....#
#.................#.##.#.###....#.###.###.#.##..#.####.#....#####..##.#############.#..##.#.###.##.....#####.##...##.#.#.##.##..##........#.######.##########.###...##.#######.####.##............####.....###.##..#.#.####.#.#..#####...##..####.##.####.##..#.#........####..##.#.....###...######.########.###...#.######..##.#####.#.#.##.#......######.##.#.#.##..#.####..#####.#.#..##.###.##..#####.###.##.####.#..##.....#.##..##....#..####...#..##..##....#.###...##.#.##.#..##.#.#...##########....##..##.####.#..##........##.#..##..#..##.##....##....#.##.######.#...###.#.#.....##.#........##.##....##.#.###...####.#..##.##.###...##...#####..#.##.....#.#..#..#..##.#.##.##.##.####.##...##..#.#.####.##.......##.#..#####....##.##....##...########.#.#.#..##.#....##.#.#.##.##.##.#.###.#..#..##..##..##..######.#.###.##.##############...#####.#.##..#.###.#
#.###.##.##.#.###...##.#...####.########....###.#.##...###.###....##..#.##...###....#.##..#.##...#####.##.#..###.##..#.#.#...##..####.#.#.#######...###..#######..#........##..........##.######.##..###.#.....##.##.#.#..#.######...##.####.##.#.....#.#..##.#.#####.#######.#######.###...#...#.##.##.#.##..#.#.###.#.#.###..#.#.....#.#....######.#####..........##....#...##.....#.##.........##..#.##..#..##..#.#...##..#.###.#..######.#.##..###.##....######.#.#####.#....##.#.##....#.####.##.##...#####.##...##..##..#######.##..#.####...######.#####.####.##.####.#.###..##...##.#####.#.####.####..####..#.#..#..###.##.#.##......####..##.##.#.##...#####.##.#.##.##.##..#.##.##.#...#.#.###.####.......##.##.#####..######..#####.##.##.#######.#.##..##.....#.##..#.#.###.#...##....##.#..##.##...####.#..###.###.#...#.........#.......##..#.###.#.###..##.#...###
#.#############.##.###.#.###.#######.#.###.##.###.#..###.....####.#..##..###.#.####....##...###.##..##.#..##.#.#..##.#.#.#.#####....###.#####.#.##.##.##....##...###.#.###..#.#.##.##.#####.......##..########.#..##.#.##.#..#.#.##.##....##.#..#####...#.###....#....###.......##.....########...........###...#...#.#....###.#######.....##..............#.####.#######.###..#####...#####.######..##..##...####.#.#.#######..##...##.........##.##..###.#..##.#..#.#...#####.##.....##.#.#..#.#.##..###.#.#.#.###.##..####.#.##.....##....##..####.#....##..............#.#...#.#####......#.#.#....####.##.#..##.#.##.#.##.#.##...#######..#.##..#.##.#....#.#...#..#.#.##..#..##.#..#.##.##.##....#..#..###.######.......###..#.##..##.#....#..#..#.##.#....#.######.##..##...###.#.#.#####.####...##..#..###.#..##..#...#..##.##.##.#.##...#####..##.#.###.#..##.###.#.#####
###..........#.......#.#.##....##.#......#..#..#############.##.#.##..##.##....#.###.######..##..##.##.##......##.#..#.....##..#.#.########...#.#......####..###.##..###...######..##.##.########..##..##.#.#..#.##....##.##...#.#..###.#..#.##..##.###.....####.####.#.#####.####.#####.###..#.##.########.#.#...###.###.##...##......#.#.#####.####.####.#.#.....##.#...#.##.......#........#...##.##.#####..#.#.#.#.###..#..#####..#########..#..##..##.#####.##.#.##.###.#..##.########.##.#.#.###.#.....#.#..##.#..##....#.#..#.#..#.####..##....###.####.#####.#.#.###.###...##.######.##.#.#.#.###...##.#.##..#.#..........#.#..##.####...#..##.##.#.########...##.#..#.##.##....##.##.#..#####.##.#.##.#....##..##.####.##......##....##...##.##..#.##.###.#.##....#.##..#..##.#....##...###..####.##.##.#.##.###...###.##......######.#.#...####....#...#.###...........#
##..#.#.#.##...#####.#...##.#####.######.##.##..##.#...............#.##..#####.#.#.....##.##.##.##........####.##.##.#####..##.###.##.###...#.....##.#......########.#...#..##.#####..##..........##..##....##.#.##.##.#..##.###.##..##.##......##....##.####.##...##.#.#.##...#.###.#.#.#.##.####.....#.##.#####..##.##..####.######.##.#.#..####.#######.#.####.##..###.#.################.##.###..##..##...##...#.....##.##.#..###..#......##.#.####.....##.#..........#..##.#......#.##.##.....#.#.###.###.#.##..##.#####.#.#######.#..##..######......#.......###.#.#.#...###.##.#....#.##.#.#.###.###.##....##...#.###.#.#######....#..###.##.............##.###.##...##.#..###.#.....#.##..#.#..##.#.#..#.#####.###.......######..##.######.......##.....##....###.##.#..######.#.#######.#.#.##.#......#.#.#...####...#..###.#####.#.###...#..#.###.##.###.##..#.#########
#..###########.#####.#.###..#.#.#.##.#....#.##.###.##.####.#######...###..#.#....####.##...#..#.##.#.#.######.....#...#.###.#..##.....#.#########.#########.##.##....###.##..#.#.....###.#.##.#.#..##..####....#..####.#.###..##..##..#.###.#.#....##..#.##...###.###.#.#.###.##..#..#.#....#..#...#####..#.###.#.###..##.#.##...###########.##.#..#.##..###.##....##.......#.##.##..#######.....###..##..##.#####.#.######.#....##.##.######.#.....#.###.###..##########.#.##..#.###.##.##.#..#####.#.##....#.#..##.##.#.#.....#.#.##....####.#.#..######.##.##########.#.#.###.#.#..#.##....#.#....#..###.###.#####.##...########..####...##...##.#.##.#.#.#####........###..#.##.#.####.##.##.##.##.##...##.....##....#.####.#####.########..#..##.#######.####.####...##...##.##.#.#.#.##.##.#.#.#..#.######.#.#.###..##.##.##...........####.##.##..#.........##.####.....#.#
#.#####..#.#...#........###.#.#...##.####...##..#..######..#...#...#..##.##...#####....###.##...###########...###.###.....#.#.#######....##..#.####.##......##.####.##...###.....##.##...#########....##..####.#.###.#.#.#.##..#.##..####...#####.####.#.####...#..#....#.#.#..##.##...####.##.###.#.#.#.##.#.#.#.##..##..#....#.#..##...##...#.##....##..########.########.#.##.#..##.......###..##.##..###..##.#.#...#.#..#.##.......#.##.#...###........##.##.##..##......#.##.#.####.#..#.###.##....##.###.#.##..##...####.##....##.#..###.#.##.#............#.#.#####.#..#....#.######.#...#.####.##.#.#.#..##......###......##.#..###.####....#..#####.#.#.##.####.##.##...#.....######.##.##.....##.###.##.##..#.##########.....#.#.#.##.##..#.#..##...##.#....##.##..###.....#.#.#.##.#..#.#...##.#..#.#...#..##.##...#..##.###.####.#..#.######...#######.#..#.#..#.#...#
#####.##.#.###########.##...#.###.#.....###..##.#.##.##.##.###...####.....###..##.####..##.#..#.#..##.##..#.#.#....######.....#.###...##..##...#.#..##.#.##......#########.##.##.#...##.####.#.#.####..##..###.#.##....#....##....##.##...####.#..#.......#.###.##.####.#.#.#.##...##.##....#..##..#.#.#.##.#.#.#.###.###.####.###.##..######.#.##.##.##.##.#.###....##..........#.##..##.#.#####....##.##.#.###.#...###.#.###########.#....############.####..#..##....####.#.#..#.##...##.#.##...###.##...##.#..##..###.###..#####.#..##..#....##.#######.######.#...##..##.###.##.#.#..#####.#.......#.#.#.#.##..##.#..###.#.####.##...#.#.####.##.##..####.#.######..#...###.#.#####.##......######.........####.####........##.####.#.#.#.....#####..###.#..#.####.....########.#.....##.##.#.#.####.#.##.###.#.##.....#...##....#..#####.####.##.#.####.#.#####.....########
#..#........#.##.#.###.##.#.#.....#####.#.#.###.#.##..#.#######.##....###...##.##.#.#..###.##.###.##...##.#.####.#..##..####.##...#######.####...##.####..###.#.##...##.#.....#..##.#####.............##..##...#.#####.#.#######.##...##.##....######.#.#.................#.#..###.##..####.##.###.#.#.#..#.#.#.#..##.#....#.#.##...##..##.#.......#..##.##.#.#.####.######.####.#.##.#######..##.####...#.#...#.#.###.#.#.#.#......#..##.#..#.#..######.##.#.##.#####.##......#.##..###.##.#..##.##...#..#.##.#.##..###..#.##.#.###.######.#.####...##..............#####.##.#...##.....##.......#####.#.#.#......#####.##.#.###.#..####.#.#.#.#...#####..##.....##..##.#.####....##.#...######.#..######.####..#.#.#.#..########.....#.#.#.#####.#.##..###....##..#.##.####..##.##...#.###..##...#.#..#.#..#.#...#.##.###.#.#....#.#####..##....#.#.....##..#...##..#####.#..###
##.##.#####.#.#......#.####.####.##.#.........#.#..##....###....#..########....#....##.##..##..##.#..###..####.####..##.#....####..##......#.#.###...##########..#.###....###.#.#####.##########.##.#..##....#...#.#...#..#.##.#.#..#.########.#.##...#.##.#.#.#.#.######.#...##.#..##...##.....##.#.#.##...#.#.#.##..###.##.#..##.##..##....#.#.#.##.....#.#.....##..#######.#.....#.##..####.#..#.##.###.#.#......#..#.#.#.######.##.#####.#.#.##.........#.##..##...#######...##.##.#.#..#.###..###...####....##.##.##...#..#.#....##.......##..#####.##.#######.##..##.#..###..#.######.###.###.#.###.#.#.##########..#.#..##...##.#....#.#.###..#.##.####.####..##.....#.####..#.#.###.#.##...##.##...#..#.##.....#.###.....##.####...#.#.#.#.#.###..#..####..##.....###.##.....#.#..###....#.#.#.##.##...###.#.##.#.############...#.##..####.##.######...#####.#####...##.#
#...####......######....##...#.#..#.#########.#.#.#####.##.#######.#.....#####.####.#..#..###.##....##.##..##..##.##..#.####..##..########.......##.##...##.####.#.#...##########.....#.#.#.......####.####.####...###.##.#.#......##..###.##.......#####..#####.#.##.#.#.#.###..##..##.#######......#.##.###.#.#..##.##..##...##...##.#######.########.#.....###....##...##..#####.####.##......##.##..##.####.#####.##.#.#.##.........##...#.#..#.##.#.##...###..#####.###.#.#.#...#.#.##...#.#.##.##.##..####.#.....####.##.#.####..##.####..##..##.####..##.######.##....#####.#....#.####..##..#..##.#....#######.####.#.#####.#..#.##...#..##.##.#..#.##.##.##.#..#.###.#.###.#.....#.#.###.##...###.#.####..###.......#####..##...###.....#.#..###.##.#..##....###......##.######.##.##.###...#.##....###.#....#....#.#.####.##.###.#..##.##....#.##.##.##..##.....#.####.#
###.##.######.#########.####.#...##..#.##.##....#..##.#.##.#.#.#.#####.#............##.#.##.#.#####..#.#..####.#..###......##.###.##.#...#######.##.###.##..#.##.#.###.#........#####.#.#.#.###.####....#.###.#..#####..#...####.#######.#..#######.##..##.##....#.#......#.#.#.###.##...#.#....#.##.#.##...#.#.#.##...##.##.#..###.##.#.#..#####.#.#...#.###.#...##..#.#####...##...##...######.##.###.##..#.#....##.##...#.##########..###.#.##.########..#...##..##.........#####...#.####.#...##.....#.##.#..#.#####...........##.#####.#..####.#..###..##....##....##.###..##.#.####..#.##.##.##.###...#.##...##...#.....#.#.#...#####.#...##.......##.#..##.#..##.#.#...#.#.....#####.#.#.#.##.#.##....#.#..######.#.#.......##..###.#####.....##.#.##.#.##..##...###.#####.#.#######.########.#.##.######.###.##.####.#.#........##.#.###..####....#.#...#.##..#####......#
#...#....#...............#.#.###..##......#####.#.##...........#..##...##.#.##.##.#....#....#.#.##..##.##.#.#..##.....#.##.........#.###.###........#.#..##........###########.###....#...########.####.#.##..##..##.##...###..#..#.###....####..#####.##...###.#######.#.......##.....###...#.####..#..###...#.#..###.##.####.##...#..#.##.#.#.#.....#.#############....##.###.##.######.#.##.#.##.#....##.#.#.####...##.##...##..####.##...#.#..##..#..#.###.##..###.#####.#..#.####....#.#.#.#..####.##.#..##.....#.###########.#..#.##..##..#.#.#.##.##.###.###..####...#..##..#...###...##.....#...##.#####.###..#...##.##.#.#.#..##.#####..##.##.####...##....###.#####.#.##.#.##...#.#...#.##.#######...#.###.#################.#.#..##...#####....##......#####...#...##.....#.##.#.#.#..###.#.#....##.#.##......#.......#.######....#.##.##.#.####.#.###..##.....#.###.##
###.####...#########.###...#.##..####.###.#........##.####.###.##..#####..#..#########...####.#.#..###.##.#.#.#######.#.##.###.###.#.#.#.#.#####.##...##..#######.##..##.##......####.##.###..##.............###.##.....###.##.#.##.#.#.##..#.#.##......#####.###.......##.##.#..#####...#####.#.###.#.##...###.#.##...#...##...###.##...#..#...#########....##.##..####.##.##.....###.#.........#....####.........###.##.###.####.#..#.####.#.##..##.#.####.#.###.#.###.##..##.#..######.....#.#####.#....##.#..#####..##.###..#..##.#..##.##.##.#.#.##.....##.#.##.##.###...##..##.###.###....#.###.####...##...##.###.#####....###.##...##.##.....#....##.####.###....#.#..#..#.####.###.###.#.....##..#..###.#.#.#.##.#.#...##..##.#.##..###.....##.#####.#####.#####.#####..#.#....#.#.#.##.....#...####..#.###.#####.##.##.####.######......##.#.###..#.##..##..#####..#####
#.#.####.####..#.#.####..#....##.#.####.#.#######.######...#....#.##.##..#######.#.###.#..##....##.##..##.#.#.#....##.######...#.........#.#...#####.##..###....#..#.##...#.####.#.#...#...##.#########.####.#.#.#####.##.#.#..#......#####.#....#.#.##..##...######.##..#######..##.#.####.####.......##.#..##.#.####...####.####...###.##...####..######.#.....##...#......###.###.#.#########.##.###..####.#######...#.#.#..##..##.#..##..#.##.##.....##.....#..#..#..######...##.##.##.##.#..#.#..#.#####.#.##...##.##.#.##.##....#.##..##.##.#.#..##.##.........##.##..#####.##...#..###.#######..##..###..###...#####..####.##..###.##..##.######.####..#.#.#.####...##.##...##....##..##.##.######.##.###............#.###..##..#..##..##.##.##...#.#............###..#..#########.#.#..#####.#.####.##...#.#..#.....#.##.##.#.#.###..#######.....##....##.##.####.#.##.#.#
#...#..####.##.....##.#.####.##..#.#.#....#.#.......##.########...##..########.#.......##..####.##..##.#..#...####.#####.#...#########.#...###.##.....##.#.####.#.##..##.#####.#.#.###.##.##..#...#.##..##.......#.#...##.#.##...#######.#..#.####.#####.#..#...##.###..####.#...##..#..##..#..#######.##.####..#..#####.##...##.##.##....#.#..##..##.#.####.#.#..###.#####.##...##..#.####..........##.##.##.##.##.#.###.#...####....##.###.#.##..#####.###.##.##.##.##.#.##.##.###.#..#####...##.##...#.##..#.####..#.##.#.#..###.#.#..##....##.#.##.#...###.#######...##...##.....###.##.....###.##.###...##..##.###.#.#.##.#..##.##.#.###......#.#####.#.##.#.#.#....####.#..#######..#.##..##..##..#.##.#.#.###.########.#.#.####.#.####....##.##.#.#.#.###############...###...##...#.##..###.....##...##.##.#.##.###########.......##...#.##..#.######.##........#.#..#...#
###.##..#......##.##..###.....#.##...###.##.####.#####...###....#..#.##.#.#......##.#.####..#......###.#.##.###.#...###....####......#.###.#.#..#####.#....##.#.#..##.##.###.....#.##..#...##.###......#####.#.#.....#..#....##.###..##..##.#.#######....#.####......#####.....#..##.#.####.#.##.......#...#.##.#.##..##..##.##..##.####.#####..##.##.#..########.###.##.....###..#.##....#.######.#....#...#.#...#.#..##...###..#.##...........##..#.##.#.####..#.##.##.#.#...#.##..#.##.#...###...#.#....##....##..##.##.#.##.#.###.#.######.##........#..####....####..#.######.###.#..####.##.#.#...##.####.##...#..#.#..#.##.#.....#.#...#.####..###....##.#.#.####.###..##..#.###..##..##..##..##.#.#..#.#.#.####...........#.#..#..#.##.#..######.....#..#.##.#.##..#.###.##.#####.#.#..##.###.#####.###...........##.##.##..##.#####.###..##.####.##.....###.####.#.##.###
##...##...##.#.#...##..######....##.##....#.##....#..##.##.#######........####.#.#######.##...##.#..#........##.##.##.###.###.######.#.#...#.#.##.#.#.###.###.....##..##..#..###....##...#..#.....#.#.###.##.#.##.#####.##.###..#.##..#.##..#....##.###.#####.####.###.#.##.##.##......#.##.#..#######.###...##...##.##..##..###.##..##..##..##.#..##.#.##...###......#####.##.#.##..####.########.##.###.###.##.##.##..###.##..########.####.#####.#.......#.##...#.....#.###.#.###.#..#.###.##..#.######.#..#.##..###.#.....#.#.##.....##.#...#######.###....##.###..##.#.##..#........##.##.##.....####....#.##.###.##...##.##.#.#.###.#####.###..##.###.##......#.##...##....##...##.##.##..##..##..#.##.#......#.##.##########.#.##.##..#.##..#.####.#.##.##.#.....##.#.#.#..#..##.#.#...##...##.#.##...#..#########.....#.#..#######...####.#...#.#..##.########.##.#.##.#.#
#..#....##########.##.##.#.#####.##..####.#.##.#.##.##..##.##.#..#.##.#.#......#.#.#...#.#..#.##.##.#.#.##.####.......#.###.....#....#####.#.#.#..#.#.###...###.#.###..##.##.######.#######.####.######.#....###..#.........###....##...###.#.####..#....##........##.......#######.##.#.##.#.##...#.#.##..###..###...##..##..##..##.###..##......##.....##.##...##.#.#...#..#....#.###...##.....####.##..###.##.##.##.##.#..##.#.#.#..#.#.....#.##.##.#.##...####...###.#.#.....#.#.##.#..##.##.#####.....#.######.#.#.##.##......#####.##.###..##.#.#.#.######....##.#..#..##.####.#####..##.###.#####.#.####.##......##.##..##.#.#..##.#.###.#.##.#..#.#..##.#####....#####.######..#.##..##..##..##...##.#.##.#...#...##....#.#.#.....##...#####.#.####.........#####......##...###.....#####.##....####.#.###..##..###.###.##...##..###....#.#.###.#.##.......##............#
#.##.#.##.....#.............#.##.#..####..#..###..#.#..##.....##.##########.##.###...#.....########.#.#######.#######....######.####..#.#......##...#.#.###.#####.#.#.##..####.#.#..#..##.#.#.#..##.......##...##.#####.###..##.#######.#.#.#.#.###.####..######.#..#########.##.#####.#.##.#..###.....###..##.##.#.####.###.##..##..#.#.########.#####.##..#########.###.##.###.##...###..###.#..##..##.##.#....##.##.##.#.###.#...##.#######...#...#.#.##.#......###...#.##.##.#.#....#.##.......#.#####...##..#..#.#.######.###.#.##...#.#.#.##....#...##.#.#.#####.##.##.##.##...#.####.##.#.#.#.##......##..#.######...##.##.###.##........#.#....##...##...##.####.#.#.#.##.#.##.#.##.####..#.#####.##.#.####.###.####.####.#...#.#..##.##.###.#.#.#..####.#.###..##.#####..###.#####..#.##.##.####.#......#.##..########..#.###..##...####.#..##......#########.###.#.#.#.#
#..##########...#.#.###.#.#........##..##.#.###..##.#.####.##.##.##.##.##...######.#.##.##.##...#......##.##..###...##.###......#.###...#.####.####.....#.....##.......##.#.##.#.##...##....#.#.#######.#.##.######......###..#....#.##.....#.#..##.#..##.#...#####.##............##.#.#.#..##.#.#####.#.##.##......##.#.#....##..##.#.#..##.##....##.#..##.#.###..#....#..#.##.....####..##...##.###..#.#..##.###...#.##.#.##..#.###...##...###...#######..####.######.##.#####.#.###.##.#..#######.#.##..#..##.##.#.#..###.###........#...#.#..####.#.####.#.#.###.#.....#.#...###.#.#.#...#.#.#.#..##.######.##.#.##.#.####.....#..##.######...##.###..###..###...##..#.#.#.##.#.##...#....###...##.##.#.......#####.......#.#.###.######..#..........##...######.#.##..#.##..##.#.#.#.#.##.#..##.#.#..##.#####..#.###...#.##...#.##..###..##....###.########.#.##...######.#.#
#####.##..#...#.############.#.###..##....#.#...##..#.#.#####..#.##....####.#.#..#.#.#..##.####.##.###.....##.#...###....######.#...###...#.......#.###...###..#######.##.........#.#######...###.......########.####.#.##.##.#.####.######...#.##..##.#..###.#.#...####.####.###......#.#.##..#...##.....#....#######.#.###.##..##....##.#...####.##.##........##.####.##...####.####.##..#####..#.##.#.#.##..#.###.#.##.#.###...##..######...##.##..#.############.##.##.#.#.#.#.##.....##...####..#.##.###.##..#.#...##.#..#############...#.##.#..#.##.....#.#.#.#####...#.#..#......###.#.#.#.##......#..#.#....##....#.###.###.#####.##...###....##..###.#.###..##...#.#.#....##.#...####.##.###.#....##.######.##.##.#......##..#.####...#############...........##.#.##.##....#.#.#.#..##.#......##...###..##...##.##..###.#..##.##..#####.###....###..#.#....#......#.#.#
###....##.#########....#########.##.#####.#.###..##.#.#..##.##.#.#..#.##.####.##.######.##.#.......#...#####..###.####.###.##.....#####.###.#.###...###.#.#.##..###.##..######.##...#.##.#..#######.##.###.##..#.#.#######.......##..#.##...###.#..##..##.##..#.###.#.##########..#.##.#....##.###..#####.#.####..###....#....##..##.###....###.......#########.....##..####...#...##..###..#.###...##.#.#..##....##...##.#.#.#.###..##..#####.##.##.##..#......#........#.#.#.#.#..###.#..#.###..#.##..###.#.###.#.#.###..#.##.#......#.####.#.##.##....##.##........##...######.###.####.........##.######.##...#######.##.#.#.#.#.##.#..####.##..##.#..##.#.#.####..#.###...###.#######.#.#..##.#.#.####..#.#..#.#..#.###########..##.#..##.####.##....##..#########.#.....#.##.####.......##..#.##.#.####...##..#.###...##.#.#.#.##...##...#.#.#.##.###.#.##...##.##.#.###.#.#
#.##.#....##.##...####..#.#.####....#..#....#.#.###.#.#.##..##.#...####....##.##...##.######.#########.#.#.##..##...##.....######.#.#.#.###.###...#.#.#####.###.#.#..#.##..########....#.##..##..########..###.#.....##..#######..##.#..###..##.#.##..##..###.#........##....#.##.####.###.##...###..####.#......##.####.###.####.#..##..####.####.##..##.##....###.###.#.####.##.##..##.##...#.###......#.##..#####.###..#...#.#.##..##.#.....##.##..##.###.##.#.##.#.#.......#.#.##.####.....##.#..##..#..#..##.#.....##...##.####.###........#.....#####.###########..####.##..##..##.######.#####.#.#.##....#####......#.#.#.#.#..#.##..##..##.######.##.#...#..##....####........##...#.#.##..#.#.#....####.##.#.##..##.#.###.#.###.#.##..#.....####.#..##.....########.##.......######.####.#.######..#.#####....##.####.#.#.#.#..####.#.#.#.............#.#######.#...###.#
#.#######.##..###..#.##......#.####.##.####.#...##..#.#..##.#....#....####.....##.##..##.######..........#.#..####.##..##.##...#......###.#####.#####.###....##.#.##...###.#..#.######.#..##.##.##.#..#.##.....###.#..##.#.#.####..#.##.#.#.###.#..##..##.....########.#####.#.##.##....#..##.###.#.##....##.#####...##..##...##..#.####.#.##.##.#..##.....######.#..#......#..#.....###..##.##..#######.#..##.#.##...###.###.#.#.#..##..#.###..#.##.##..#.####.#########.####.#.#.##..#.#.#.#.#..#.####.##.##..#.#.######.#.#..#.#..#.####.#.#.#####..##.#..##.....#.##.#....###..##.##..##.....#....#.#..##.#.....#####.##...#.#.#.##..##.###..#.##.#.#.##.#.###.##..#.##..##.#.########.#.#....##.#.#.##...#...#....#.##..#.#.#.#.#.#.#..##.#.#.###..#.##.##.#####.##.#.#....#######......##..........##.#...#.#.#####.#..#.#.#.....####..###.#.###.#########.##.##.###########
#..##..##..##...##.#.###.###....#.......##..##.####...##.##.##.####.###.######.#...#.##..#.##.#########.##.##.#.#..##.########.######.##...##.####.#..#.###.##....#..###.#.##...#.##.#...###.##..#.##.#..#####..#####.#.........##...##.#.#.#.#...####..#####...........##.....########.##..#.#.#....####........##.####..##.##..##..##....##......####.##..##.##.##.######.##.##.##..#..##...##....####.#.##.....#.###.#.###...#.##..##.###.##.#.##..##.#.##.............#.........##.....######....##..##..##.#......##..####...##...##.#####.##.##.##..#.##..##.##.##.#.####.##..#..##..####.##.####...###.#####..##....###.#.#....#.##..#.#.##.#..#.#.##....##.#####.##.#####.#..#.#...#.##.###.......#.#...#.#.####..#.##.#.#.........##..#.###.##.#.##.##.#.#.#..#.#...#.####.#.######.##.####.######.#.###...........##.#.#.#####..##..##....##....#.#.##........#.#.##...#
##.###.#..##..###......###.##.#...###.#..##....#####.###....##.###...##.#.#......#....##.#....###.......##.##.#.##.##.....##.............###...#.#.##........####.##.#.#....#.#........####..##.##.#....##...#.##.##....#.#.#.#....###..........#######.#.############.#######.#.##.#......##.#.####..##..##.###.#..#.###..#.#..###.##..##.#########.######..........#.##.......#####.#.##..#..####.#....#..##.##....##.....###.#..##.#..##.....#....##....########.###.###########.######....#.###.####.#..##..#.########..##..#..###.....#.#.....#...##...##.#####........##...##.##.###.#.#.......##.###....##.##.###.#..##.#.##.#.#..##.....#....##....#.#####.#..##..#.##.#....##.###....#.##..###.#.#.#.#.###.##.#.##..#.#.#.#####.####.##..##.##.#....##.#.#.#.##...######......##....##....#...#.#..#.###.#####.#.#..#.#...##..#.####..#.#####.##.#.#..#.#.#.##.#...##.###
#...##.##.###.#.#####.##....#####.#...##.#####..##.#...##.######.##.###...##.########.#..####.#.###.#.#.......#..#.#..###.#..#.#.#.#####..####.#.#..########.#.#...#.#.####.######.#.#..#.##.##....##.#..###...##.###.############.#.####.#####....##...#.#..#.#........##.##.....#.###.##.##.#.#....##..##..#.####.#..###.#.#.###..##.#####...##....#.#.###.###.#.#....#######.##......#..#####.##.####...##..####.#####.####..#.###.##.#..###...##.#..####.#.##...#########....#...#.#.#.####..##...##.##..##.#..#...##..##..#########.#.#...###...####.####.##..###.##.#....###.....#.#.#.##.#.####....##.####..###.####..#.#.##.####..#####...########.#..##...#.##..##.##.####..#.##..##....##.#########.#.#....#.#..#.##.....#.#####.#...#.###.##.##.####.....#..##.##..#.##.###.#..##....########.##.#.#....#..########.#.#####....##..##...#.######...##.########.###..#.#
#.#..#.#...#..#.#.#...#####.##.##.######.#.#.##.#..#.#..#.##..##..#.#.##.##..#........#.##..........####.####...##...##.####.#.######..##..##....#.##..#...#.#.###.#...####.##.#...####....#.##.########.#.###.##.#.#####......###.#.##.#.#.#.##.#..###.#.##.#...#.####.......###.#..#####.##.#.##.#..######.#..#.#.#.##.......#.##.#...#..###..####.#...#.############..#.####..######...##.##......#.##.##..##..###.#.#..##..##.#.#.##.####.###..####.##.#.#.####.#.....#.####...#.....#..#.##..##.##...#.###...##.#####..##.#.#.#.....#.#####.##.##..#...#...#.##.#..########.#####.#...#.#..#.##.##.###.....#.###..##.##.#.#.#...##..##.####.##.#.###..#.#####....##.#..##..###.##.#####..#.##.........########.##.#.##.####.###....#..##.##.#.#.##.##.#..#.#####.##...##.#.##.###########.####.##.#.##.....####.###.#.##.....##.#.######....###..#..##.###...#..#.##...##...#
####.#.###.##.....###.#.##..#......###..........##.####....##..##.#.#.#...###########...#####.##.#.##..######.######.....##..#.##.#.##..##.#####...###.###.........#.###....##.######...##.#.##....#.#.....#.#.##.#.###.######.....#.##.#......#.####.#.#.##.###########.##.###...#.##.#.#.#.....###.##.##.....##.#....###.###.#.##...###.##...##.##.###.#.#....#.#.#.##........##.#.###.###..##.#.#...#..##.##..####.#.##..##..#.#...##.#.##.####..##..##.#.#..###.###.#......#########...##.#..##.....###...#.###..##..#.##....#.#######.#.....##..##.##.##.###.##...####..##..##....###.....#####..#.#.##.####.##..##..#..#...#.####.##.......##...#.##.....#.##.#..#...###.##.#.....#.#..######.#.#.#.##...##.#.##....#.#.#......####.###.#..#.#.##.##.#.##.#.###..##.##.........###.##.......#.#....##.##.##.#......#.###.#####.#.###....####.##.#.##...##.###.##..#.###..###
##.#.#.#......###.#.#.#..##.#.#.##.#...###.####.##.##.##.###..##..#.#...#####.#.##.###.##..#####.#####........##.##..##.######.#.....##.#......###.#.#.#.#########.....####.......#.######.#.#..#.##.#.###.....#....#.#..###...#.#........########..#.........###.........#######.#.##.......##.###......####.##....#.##...#......##.##.#..###.##.##.#.#...####.#.#.#.#######.#.......#....##.########.##..#....###.#.#..##.#..##.##.##....##....##..#.###.#.#.##.###.######.####.#.#.#..####.##.##.##.##.#.#.....##..##....####.#.#.##.#..####.##..##..##..#.##.....####.##.###..####..###.##..##.#.##.#.#...##..###..##.##.#.###.#.#...#######..##.##.#..#.#....####.#.###....#...#.###.##.#.####.########.####......####.#...#.####.##..#....##.#.##.##....#.....##.....##.########...#####.####...##..#.#####.#.######..#..###.#.#...####.#..#......##.###.......##.#.#.##...#
#........#.#.##.....#.#.###.###.########.#.##............#.##.###.#.#.###.#.#.......#...##.#.#...###.########.##.###..###.#.#######.##....#.##.........#.#.#.##.#..######.#######.#.##.....#...####..###.#####.####.#.#.##.#.######.#.#.#..#.######.########.##.#############.#......#######.#..##..##.####....##.###..##.##.#.##.##..#...##...#..#..#.###.#.##.#......#..###########.#.#####.#.#.##....##...####...#.##....##.##.##.#####.##.######.#.#.#.#.#.#..##..##.#.#.#.#......##..#...##.####..##.######.##..###.#.##....#...##.##.##....##..#.###.##..#.###....#.##..#..##.#..##.###..##..#......#.#####..##.##.......#.......#..##.#.#.##..##.#.##.#.#####...#.######...#####.#.#..#..##..##.#.#.#..#.######..#.#.###.###.....##.###.##..#.##..#.##...#####..#.#.#..###....###..#.......###.###.....#.#.#.##.###.##.##.#.#.#.###.#....##.######......#.#.#.#..#...##.###
######.##########.#.....##....###.##.##.....###.#.#.####.#.#...#.......##.#.#######.###.##.#.#####.#.####.#......#.#.###..#.#.##.##..##.#.#.####.##.##.#.#....#.##..#.##..###.#...#..#####.#.###..##.##......#....#.#....#.####.....######...#.#.#..#.#.###..##.##.#..#.###.#.##.###......#####..#.##.....####.##.##########.#.#..###...######.##.##....##......###.##.#.##..#.#.#.#.....##.......#..##....###.####.#.####.##...#.##.#.##.....#.##.....#...#.#.#.##..##....#.#.#.####.###.##.###..##..##...#.#.#.##.##.###..####.###..#....#####.###...##...##...########....##.##..##.#..####.###.#.######....##.##...##.#.##...##.#.###.##........###....#######.###.#.#..##..###..##.#...##.####....#...#.##.#.##.#.##.#.#....#####.###.#.#..##.#.###....##.####.#.#######.....#######.#.##.####.###.##.####.....##........##.#.#.#.###...##........##.###.#########...####.#.#
####...#....##....##.##..##.####...#.###.#.##.#########....###...########.#.####.#...........##.#....#....##.#.#...#...##...#.##.#..#########.#######....####......##..##.#.#.###.##.##.......#..##...###.##...##.#.###.##.##...##.##....#.###.#.##.........###.##.##...#.#...#####..####...#.#.######.#.##.#..##...###..#...####..##.###.#.#...#.#..##..######.###.#.....##.#.#.....#.#..####.##...######.#.#..#.#.#..#....##.##.##.#..###.#....###.#...###.#.#..##..####.#...###......#..#.#...####....#.#...........##..##.#..#.##.####.#......#..######....###.###..###.##..###.##.#.##.#...##......###.#####.#..####.#####.#####...##########.##.#.######...#.#.#.#.#.####..###..#.###.#...#.#.####.#.#..#.#.#..#..#...#.##..##.#.##..#...###.#..##.########.#.#.#.#..###.#####.#.##.####..##..##..##...##.#####..#.#.#####.#.#.......####.#.##.###...######.#.#.###..#.#.#.#
#....######.############.....##..#.#..#######.#####...####.#####.##.#.##..#.#....######.#.##.##.####.####.########.#.######.#.##...###.#.#.#..#.#.....##....######..##.##.#.......##..####.####.#####.#.###..####...#....#.###.##...####...##....####.####.##.#.##..###.#.###.#.....#######.#.#...#.####.##.##.##.###.##.##.##....##...#..#.###.....####.###....#.#######.##.....#####.##..#.############....#.##.#.##.###.##..#..#..##.#.######...#####..##.#.##.###...##.###.###.####.##.#.#.####.#.####.##.###.###.###.##..##...##.#.##.#####.##.##.##...####.....#.##.#..##......#.#.##...###..##.###.....#.#.#.###.####.#....#####..##.#.##.........##..###.#..........##..##.#.##.###.#.###.....##.####.#.#.##.#.##.#######.......##...###...##.##..#.#.#.#.#.#.#...##.#..##.#.#.##..#.#.##..####....###....##..######.##......##.##..#.########...###.#.#........##.......#
###.###..##.#.#####.##.#####.#####.##.#.#.#...#.#.###..#...#.###.##...###.....##..###.###.#........#.#.#..#.##.....#.##..##.#..###...#.#.#.##...###########.#.#####....##.#.#####.###....#..##..##....#...#####.###...##.....####.###....#....####..######.##.#.##.##.#...#.#.########..###.#.###.#..##.........#...#.##..#######.#..#...##.####.##.##.#.#.####.#.##..#....##.#.##.....#..##..#..#.#.##...##........##.##...##.##.#.##.....#.##..###..#..##..#.#..#.###.#..###...###.##.#..#.#..##.....#.#######...####.#....###.###..#.#..##.#..##.#...###.#.#..#####.##...####.#.#......###.....#####.##.####.#.#...#.##.#.##.###..###.#.....#####.###....##.#.#####.######..##..#.##.#.........#.#.....#.#...#.#........##..#..##########...##.##..#..##.#.#.#...#...#.#..#.##.......##...#..##..#.####...#.##..##.###.#.....#############.#####.####.........####.#####.######
#.###.#.##..#.#...#....###....###.........###.#.#...##.###.#.#.#.##.###.#.#######......###########.#.#.##.#.######.#....##....##...#........###..##...........#...###.##..####....#.#.##...####.###.#.#.###.#.#..##.#.##.######.....######.####.#..####....##....#.#..###.....#....#.##.#.#.#.#.#.#.#####.##.##.#.###.#..###.#..#...#######...#######....#.........##.###.#######..#.#.##..##.##.....###.#####.######..#..###...#.#.######.#..##.####.##..##.#.##.#.#.#.##.#.##.###...#.##.#.#.#######....##.#.#.###.##.#.####....###...##.##.##.#..#.###...#...###.#...###..#.#####.#.##.....#####.###..#........##.##.#....#......##.######.##.##...###.#.##.#.##.....######.###.#....#.##.##.#.####.####.#.###.##.#########.##.##...#.##..####..##.#.##..#.....###.######.#.###.#########.#.##..##.#..#.###.######..#..##.####..#.#.#.##.#.#.#.#..##..#########..#####.#..##..#
#.##.......##.###.##.###.###.##...###.#.#.....#.#.###............#......###.##.#######.#.##....#............#.#.##...########.#############.....##..######.##.###.##...##.##.####.#.######.##....####.#.#.#...#.#######....##...#.####......##..#.###.####..#.##.#.##.##..###.####................#...##..#..#.....##.#.##.#.##...######....###.#..#####.#.###.#.#..........##.#########..##..####.###.#...###......##.##.###.#......##.#..#.##..#.#.....##.......#.....##........###..........#.#..##.#####.#....##..#.#....##.#..####..........#.##..#..###.###.....#.#.#.##..#.#..#.######.##.##.#...##.#####.###.#..####.##.###.#...##.##.##..##.##.######.#.#####.##....#..##.#.#######.######..#.##.#...##..##.#.###..##.#.....#.#.###.##...###.#..##.#.#######.##.#.#....#.......#.##.#..##.#..##.#.#......##..##.###.##.#.##.#..............####.........##..##.#.#.####.#
#..######.##....#.##.##..#....###############.....#.###.##.#####.##.######..##...###.....#####.#.######.##.##.#....#.....####...#.#.......#####.##.###.##..#..#.#.###.###.##..#.....##..##..####.#.#..#.#.###.#.####.##.#.##..#.#.#.#..#.##..#.##.#....###.##.#........####....###.####.#####.###.#.#####.#.###.#.###.#.#..#..###....#.####.#...##...###.###...######.###.###..#.#...####.###..##......##.##...#######.##.#.######.#....##.#.##.##.#####..#######.####.##########..#######.#####.##.#..####..##.#..##.#.#.#######.##.####.##.#.#....##.#.##...#####.#####......##.#.####.#........#.###........###.#.#.####..##.#####.###...#.###.#......#.##.....##....####.#.###...#..##.#.#.#.###.#.#....#.#..###.#.#.##.#..#.#.#.###.#.#..##.##.#.##..#.#...##.....#.#.#.####.###.#.#....#.###...###.#.#.########.....#..##.#....#.###.##.#.#####..#.###.#.#####..#.#....##..#
##.#.......####.#.#...##...##.##....##.#.##.#####....#########........##.##..##.##.###.###.##..####..####..##.####.#######..###.#.#######...##...#.#....#####.#.#.#.#.##..###.#####.###....##.#....##.#.....#....##..####..########.#.######...#..####.#.#.##########.##.#####.....#....#.....#...#.#########.###..#..#.##.##..###.###.#.##.#.#####.##....##.####.#####...#.##...##.##.#...##.####.#.#.#######....#.#..#....##..#######.##.#.##.##..##.#.##.##.........#.#........##.#.#...#.##..##.##.#..##.#####......#..#.#.#..##.#.#####.######....#.####...##...#.###.#####..######.#####.####.#.#.#########.......#.##.##...##....###.#..##.##.#####.#####.###.##..##..#.##..###.##.........##.####.######.##.......#...##.#######.#.#.##..##.#.##.##...#..##.#.##.....##.#..#########....#..#.#.#........#.#.##.####.###...##.....######.##..#.##...######.##.##.###.####.#
##.######.###.#.#.###..#####..#####.........#######.##.#..##.########.##....###.#....#.#.#..##..#.#.##.###....##....#..#...##...#.#.#.#.###.##.########.#.#............#.##.#.#..#..#.####..#.####.##.#####.####.###..####..##.##...###.#.###.##.####......#.##.#.##..#........##.###.#.#####.#.#.....##.####...##...##..#..##..##..##.#.##.....#.#.#####..####......####....###.....#.#.###..##...###..####.#.####.##.##.###..##.#.#...........##.##..#.##..###.#.###.#.#.######......###....##..#.##...##....##..#.##.#.##.#.##.##...#.#.###......####.#.#..###..#....##.....##..#.#.#..###.....#.#.#.###.#.#.#####.###.#..##.####.####...#.##...#...#.#.#.###...#####..##.#.###..##..###.####.##...##.....#.#....#######.###....###.....#..##.#..#....#..#######.######.###....##.#.##.#####...####.#.##.#.###.#.#....##.....#..#.#.#..#...#..##.#....####.#.#.##.##.#.#.#.##.#
#....#........#.#.##..##.##..##.#...#######..............###.#.##......####.#.#.####...#.#.####.....##..#####.##.####.##.#..###.............#..#.###........##.#.##.##...##...##.##........##.##...#..##.#..####.#.##...##.##..##.#..#....#.#....##.###.##.#.#..#.###.##.##.#.###.#...#.#.....#.#####.##..#.##.##..#..#.##.##..##..##..#..##.####.#.#.###.###.###.##...####.##.#####.#...#.##.#######..##.#.....##..##.##...##.##.#.###.###.##.##...##.#.#..##...#####.#.###......#.##...#.######.#..#.#####.###..##.#.........##.####.......###.##..#.#.#.##.#.####.####..#######.#.#.##.#.##.####.#...#...#...#.##..##..##.....##...#.###...####.##.##...#.#.#.#####.##.#....#.#.####.#.....####..####.#####.####....##.....##.###.#####.##.#..##...##...###.#.#....##...#...#####....#..##.#.#.#.#....######.#.#.#.####..#.#.##.########.####.#....####.#..#.#..#..#.#......#.#
####.########.#.#.###....###..#.#######.....#.#.#.######.#.#....######..##..#........#...#.##.##.##.###...........#.#.##.####.###.##.######.##.#.#.######.####.#.#...###.##.###.....#.####.##.####.##.##.##......#.##.#.#...#.######.####.#...##.....#####...##.#.#.#.#########.####.##.####.##.###....#.##..#.######.#..#.#..##..####.##..#..##..#.#.#.#..#...#######.#.....#.##.##.#.###.#..#.#...#.###.#####..##.##....###...#...#########...#.####.#.#.#######........#####.###.#..#....#.##..##.#...#....##########.#.###.#...#.##.##.###.###..##.....##...#.#..#.###.#.###.......#....#...##..#.###.###.###....##..####.#####.###..####..##..#...#.###...#...#.#.#..#.##.#.#.#.##...#####..##..##...##.#.#.##.#####.######.#...#.#.#.##.#.####.####.###......#######...###..#..####.##..#.###.####..##.##.#.#.#......#######..#..##.#..#.####.###......##.#.##.##.####.###.#
#.....##..........#.####.#.##.#.###.....#.#########........###.###.##..####.#.#.#.######.#.#...###....########.##.........##..#########..##.##.#.#......#.#....####.##...#..#.##.########..##..##.........###.##....#.#####.#.#.##...#....###.#..###..##.###.#....#.#..###.#.##.#########.##.####.####....##....##....#.##.##..##.#.#...##.#.####.#.#.#.##.##.##.#.#...#####...........###.#.##.#.#....#..#..##.###..#.########.###.......#####...#.#.......#.#.#########...##########.#.##.#.###.##.#.###.####.##.##.##.#########.#.##.#......####....###.##.###.##....#......#######.####.#.#.##.##.###.#.#.#.####..##..#.#...##..##..##....####.#.###...###...###.#.##.#.####.#.#.####..##...##..##..####...#.##...#.#.#.##.#.#.###.#...##.#.##.#.#.#####..#.##.###.#####..##.##.#####..##.#..##..##..###..#.#.....##.#...#.#.##...###...##..##....###.#####...##.##.##.#.#.#.#
#####..####.#####.#.##.#.#..#...#.##########..##.####.#.##...#.##...##.#.#..#######........##.#######..##...######.##########.#....##.##..#....#.##.###.####.#.#..######.##....###...##.##.###..######.####.#.#####.#.#####...#..###.####...####...##.....#..####.....##.#........#.##.##.####.#...####.#######..####.#.##.##.##..#.#.####.#.#.##.#.#...#..#...#.#.###...############.##.#.#.##.######.##.##....#.#.##....#.###.##..#.###.#.#...###.####.####.#.#..###....###.##..#########...#.#.#..#......##..##..#.#...#...#.#..#.######.####....##..##.#..#...#..####.######.##.##.##.#.#.###.....#.#.#.#.#..##..##..##...#####..##.#####.#.#..#.#.#.###.###..##.#.#.....##..#....##..##..###..####..##..###.#..###.#.#........###.###.##.#.#......#.#...##.####.#.#.#.#.##...........##..##.##.##..##.##.#...###.####.#.....##.###...#####.##.##..##.#.##..###...#.##...#.#.#
#.....##.########.#.#..#.##.###.#.#.#.##.#.#.##.....###.#..#....###.#..#...###.#.######.##....#..#..##..###...#.#....#.#.#.#..####.#...##.##.#....####...#.######.##.#.#.##.########.#......#..#####.#.##.#.###.....#.#.#...#.#.##......###.##.##########...##....#.#....#.######.#.....#..##....#......#####.#.##.#.....#.##..##.#.#..##..#.#.##.#.###.##.###.#.#.#.##.##.#.##.....#.##...#.##.##.#...##.#####...#.##.####.....#######.....###..##..##...##......##.##.#...#.###...##..#...#.....##...#######.####.#.##.##.###.##.#.#.##....#.####..####..##.#.###.##......##.#.#..##.##.#....#..#.###...#...##..##..##..###....###.##..##...#.##.#.....##...##.##..#.####.####.#.######..#.##.##.#.##.###.###..#.##.....#.######.#.#.###.#....###.##...##.#####.#..#.#........######.##.###.##.##..##.##..#.#.#####...##.#.#.####.##..#...##..#..######.#..#.##.###....##.##...#
#####..#.#.#........##....#.#...#.............##.##.##..##.####.#.#.##...#.#......##.########.##.##.###..####.#.#.####.#.#.##..##....#.......####..#.###.#.##.#.#............#.#.#...######.#.##.......##....####.#...#.#.###....######.#...##..###..#..##.#####.######.####.#.#..#####...#########.###...##....#..#####.#.##.###...##..##.#.#.##...##.....................#..#####...####.#..#.#..###.#......###.#.......#####.#.##..##.##.####..##....#..######.##..#####.#.#...#####.#########.###.##...#....##..#.#..##.##..#....#.###.#.#..#.##..####.##...##.....##.#.##.#.##.##.##.#.####.#######.##.###..##..####.#.#.####.#.###..###.#..#.#.#.####.###...##.#.#.#...##....##..#..##..#.##.#......#...##...####.###.#.######.#.#.....####....#####..#.##....##...######....#.######.#....##.###..#.##.....#.########.#....#....###.####...##.##.#.#.##..#.#.##.###...#.###
##.###.#.#.####.###....##.#.###.#.#.#.##.###.#####...#######.........##.########.##...##.##..........###...#....#.###..#....##..######.#######.###.#............##########.###...###.#.#.#..#..######.#####.##.#####.##.#.#...####......###....##.##.##....#.##..#.#....#.##.....##..####..##.#.##...##.#....##...######.#.##.##..#.##.##..#.#.####..#.#.#.###.##.#.#.####.##..#.####.#.#..#.##.#.##...#.######...##.######.#...#.##.######.#.###..#.########.#....#.##...#.#.###.#.##..###........#...##.##.##.###.....##...##.#.####.#.###.##.#....##.####..#..##.#########.....#.##.......###...##.#..##...##..##..#.#.#....##......##.#.#.##.#.#.#####....#.#..#...#.#.#######..##.##.###.#......######.#.#..#..##...........##..#.#####.#######..#..##....##.#..##.########.###..##.#..###.##..##..##....###....##.#.#####.#.###.##.###..#.####..#.#.#....##.#.##..#..###...#
#..#.......#.#####..####....###.###.#.#..###..#.####.#.#..#########.##....##.#.#..#.#.......#######.##.###...##.....##...##.#..##....########........##.##.####.#.##.......#.#.###.#.....#.##.##.#.#...#.##.##.#.#.#.##.#####.##.######...#.####..#..#####....####.##.#....###.#..##.#..#.##....##.###..#.##.####.............#####.....##.#....##..#########...########.#..##....#.#.#.##.#.#.....###.#.#...####.##..###...###.#.##.#..#.....#.##.#.##..###..####.#..###.#.#..##.#....##.########...###.....####.###.#.####.#.....##....##...#.####.....##..###.##..#.##..######...#######.##...#..#.#.###.#####..##.#.#.#.####..##.####.#.#.##.....##..##.######.###.#.#..##.....###.#...##...######......#.####.####.######.#..##.#..##........##.##.##..#####.####.........####..##....##.#.###.###....#######.#....#.#.#####..##..#...##...#.#..##.....#.##....###...##...###
##.##.####.#...#.##..######.#.#.###.######.##.#.#......#.##..##.....###.###..#...#######.#####..........########.##..###.#####..###.####......##.#.#.#...####.....########...#.#.#.#####....#.##.#.##.##.........#.#.#...##......##.#.###.#...###.##.#.#.####.#.#...#####.##.####.##.##....####.....###.######.###.########.###.#####.#..#.#.#.####...#.#.#...###..........##..##.....#.#....#.#####.#.....###.#..#..##.##.##.#...##.##...###.#.......#.##.##.##.....##.......##..####.....#.##.####.#.#.##.##.##.....#.#.##.###.###..#######...##...###.##.##.####.##..##..##....###.##..#.#..######.#.#.#.#.##..##..#.#.#..#.#.######.#.#...##.###.##.##...#.#.#.##..#.##..#####.#.#.#.###..###.#..#.########.#..#.##...#.#####.#..#.#####.######......##...#.#.####.##########.#.#####.##....#...#.#.####.##.####.##......#.#########.######.#...#####.######.####.#.####.#####
#..##.#......#....####.##.....#...#.###.#..#......####.#.###..#####..##...##.###...##..####..#########.##......####.##.#.#.#.##.....##...###.#####.#.######.####.##..##.####.......#..###.###....#.#...#.####.##.#...###.###.##.##..........#.....##...#....#.#.#.#.#...#..#..#.......####.#.###.####.#####.#......#......#...#.#.######.#...####.#.###.#.#####.#####.#.##..#########.#.####....#.#..###.###.#.##...##..##....###..#..#####...####.#.##.......######.########.###..####.##....#.#.#..#....#.##..####.##.#.#....#.#.##.##..#...#.####...#.##.#..###.....##..######..#..###.....##..###.......#.###..##...#.##........#.#...###..#..####...##.##.#....##.#..##..#.#..#.......##.##....##.##.#.##..##.#..#.###..##.####....#.#.......##.#####..###......#.....#.##.#.#.####..###.###.###.....#.......######.#####..##.#.##....##.#...#..##....#.#......#.#.##.....#.#
##.#############.####...#####.#.#####.#.##.######.#......#.##.###.##....#.#...##.#..##..#.##.##...###..#######.##.#.##.#.#.#..###.#..#####.###.#####.##.....####.##.##.......##.##.##.#.#..#####.....#####.#####.###.#.#..##.#...##.###.#.#.#.#.#..###.####.#.#.#.#####.##.##.###.###..........####.#..##...###.#.#######...###.#.#.##...###..#.#.#...#.#.#.###..######..##..##.#.......##.###.##.#.##.#.#.#.#....#.##.####.#.#.#.##.##..####...#..#....#######.......#.##..#.#.#.##.########.#.#.#.##.#######.##.####....####.........##.###.#......#####..#.##.##.####..##.#..#.##.##.###.####.##...#######..##.#####....##.##.#.##...#..###...##.####.##..#.#.#####.##.#..##.##...##.#.##.....#.###.##....##.##.##.#.####..#..##..####.#.#######....#.##..####.####.#####.##.#.#..##..##...#.#.####.####.#.#####..#.###.#.##..#.#.##.####....#######.##.....##.###...#..##.##.#
##.#.##...#.#.#...#.###.#.#.#.#.#.##..#......##.#####.##...#..#...##.#.######..####..##.#.##..###.#.##.#.#...................######.##......##.#..######.##............##.##..#.#.....#.##..##.#####....##..##...###.#...#######..#########.#####.##...#...........##.#.##.##..##.#...######.###......###.#..#########....#..##.#.#..###.###.##.#...###.........##..########.##.###.#.#.........#.#.#........######.....#.###.#......##.##..###.######.##....######.#....##.#.#.#.##.#.##...........#...##.##..##.#.#..##...####.#####..#.#.########..#.##.##.#..##.#..##..#.##.#.#..##..##.##.#..##.##..##.#.##...#.####.##..############.#.###..#..##...##.#.#..##.#.#....##..##.##########.#######.....#####.#..##.#....##...####.####.....#.##..####.###..###...##..##..........####..###.#.#.#.#.......#.....#.##..........##........#####....##....#.#.#######..###.######.#
#.....#.#.#.#...#.........#.#......##.####.#.....#.#######.##...######.#.#....##..#.##....###.##.....#.#.########.##########.#..##..#######.##...##.#..###..#.#.#.##.####..#.######.#...###..#.#...#.######..###...#.###...##.###..##.##.#####....####.####.#####.##..#.##....##########.##....######.....##...###.#.#######.#......###......#..#.###.####.###.##..##.##.#......##..#.##.#.#.##...#.####.#####..###.#####.##..#####.##...##.#.....####....#.##.##.#####.##..#.#...##.#..#.####.####.#.####.##.##..#.######.##.##...####.#.#..#.#.....##....##.#.##..#.##..##.##.#.#.##..###....#.##...##.##.#.###.##.#.#...##.#.#.#.#.##.#...##..##.##..#.#..#.#.##..#.####..##.##.#.#..###.#.##.##.#.#####.##..##..#.#.####..###.##.#..###.###..##.##.#.#.#.##.#.#####....############..##.#.#.#...##.############.##.######.#.##.########.....#.####.########.##.#.##...##.##..#
#####.###.....#.##.##.#.#...#####.###..######.##.....#.#...####...#.#....####..##.#..####.#....#####......#####.#########.##...####..##.#...#..#.#..##..##.#########..##..#####..######.....##.###.#..##.###...###.....#.###....#.##..##.#.#.####.#.#..#.####.....###...#####.##.#...#......####......##.#####..#..............######.######.#.##..##.#..#.#...###.......###.##.#..##.####.#####.##.#....#.##..##.#..#.#...#.##........###..###.#..#...#.#####.#..###....##...##.##....##########.....#..#.##.###.#..##..........#.#.####.##.#.#####..##.####.#.##.##..##.#..##.#.#.###..#..##......#.#...#.#......#.#.##.###.......#.#....#####.....####.##........##.#....###.##...#.##.#.#.##.#..#........##..##.#.#....##..##......##.#...##.##...........#.#.##.##.######..##..##..##....#.##.##........##.............###.#.....#.#######.###..#.##.##..#.##...####.##..##.#
#.....##..#.#.#########.#.#...#.#.##..##.##########.##.###....###...####..##..##..##..##..###.##..######.##...#..............###.#..###.###.##.#...####.#..#.####....####..##.##........###..#.#.#...##..#.#.#######.#....#####....##.##...#........##.#..###.###.#.#.#...#.#..#.###.######.#.#####.#######.###.#.#.#########.##.#.##..####....###..#.#.######...##.####.#.####.#######....#.....##.####.#.###..#.#.##.#.###..########.#.##..#####.###.###.#.#.##.#.####.####..#.####.##.##..###..#.#...##......#.#.####.##.###.####...##.##...#.#.##.##.##...#.#...##.#....##..#.#...##...#####.########.#...######.#.#..#.#.####.##.####....###.#.##.#..#..#########.####.#...##.###..#......#.##.#.##########.#..#.#.#####.##..#######.#.###.....###.#######.#.#.......##...####..#.###.##.#.##.##.######....###.#####.########.####.#.#......##.##.....##.#.##.###.....#.##..#
####.###########.###.########......##.##...#..#.#.#.#..######.#.#.###.#..####.###....##..##...##.##.#.##..#.#.#.#####.#.####.#.#.##.#.#...#.######..##..##.#..#.##.#.#....##...##########...##...###.##.##.#.#.#.##..####..##.###.##..####.########.#....##.#.#...#.#####.#.##.#.#.#.#......#..#..#####...#.....#####....##.#.##...##.##..####..##.##.#.##..###.########.#.##........###########.##.#.##.#...##......#.#..###...##...#.#.##.##.#.#..##..#..#.#.##........#..##.#..##..##..##.#...####.######.####.#.#.#######....##..####.####...#.##..#.###.##...#.##.##.#####.#.#.######.##.#####..##.#...#..##.##...##.#......####.##...####.###.##.##.##.#.##..#.#.#.#..#.###....##...######..#.#....###...#.#.##.#.###.#..##.###..#..#.#.#.###..####..###..#.##.######..###..##.#.#.####.#.##.##.#.#.#####..##########.#.##.#....#.#.######....##.#####..#.##.#.##.####..##.#
#.....#...#####..#.#..##.#.###.#.#.#...###.#.##.......##......#.#.##..##..##....####..##....#............####.###.#########.........#.#.#...#.##.##..##.#####......#.##.#.##.#.###...#.####..###..#..##.##.#.#.#.#######..##......#..##.#......#.##.####.#..#####.#.##.#..#.#..#.#.....#.##...##.##...###.#####.##.#####.##.#....###..#..######..#.......##.....#.##........########...##.##........#.#....#####.#.#.....##.#.###..#.#.......#.#.#.##..##.##....##.#####.##.#....##..####.##.#####.#..#..##....##...#..##.####.#..#.##.#..#..###.#.##.##..##.##.###..#.#....##....#.#.##........#.##.#..#.###.##..#..####...#.##.##.#..###..##...#.....##.#.....##.#.#.#.##.#...##.####.###.####.##.#.####.###...#.#..#.#.#.#.##..#.##...##.#.#...##...###.#.##.#......###..####.##......##...#.##..#.#...#.#.##.#.##....##.#.#....##...#...##.#.####......##.#..#.#.#....##.###.#
#####.##.##.#.##.#.##......#.#.#.#...###.#.#..######.######.#...#..##.#..#####.##.##.#################.#..##...#....##.##.###.###.#...#.###.......#.##..#.#.##################.#...#....#...##.##.##.##.##.....#.#..##.##..#.#.##...###.####.#...##.###..##..#.#....##.##.....##.#######.#..###..####.##..##....##.#.##..##.##.###.##...##....#.##.#######..###.#.###.#.###...#..#####.#..#####.#.#...####..#.####.##.####..#.#.####.######.##.#.#..##.##..####..###.#......####..##..##..##.#.##..##.#.####.######.#.##..#.#####...##.##.#.##.....##.##.##..##.######.##.#######.#.#.##.########..#.##...#.#####.#.####..#########...#####..###.#####.##...######...#...##.#.###...##..##.....#..#.#.#....##..#.#.#.##.#......##.#..###.#......######.#......#...######.#.###.#..##.######.#......##...###....###....#.##......#.###.###.###.....##..######..#.##...#.#.###.##..#
#.............#....#######.....#.#.#..##.#.#.##.#....#.#.##.###...##..##.#####..#......##...........####.#####.####.....#.#####...##.######.###.#......##........##.##.#.#.#...########.###.......#..##.######.#.##.##..#.#########.##..#.######....#.##.#..##.###.##...###.#....#..#.#####...##.#.#...#.######......###.....#..##..##.######....#...###.####.#...#.#########...##.#...##.#.##..#####.#.##.##.#.####...##..##....##..##..##.#....##.....##..##..###..######.##.#.##..##..##.....##.##...#.#..#.#.##.#.###....##.#.###...#...#####.##...#.#..##....##.#.#...##.#.#.#.#.##.####...##.#.####....#.#....#..##..#.##.##..####.#..##...#.##...###....#.###.#.###......#.#..#.##..###...##.....#####.##.#...##...#######.##.##..#.###.###.#####.####...######.#.#.#.#.#.##..#..#.#.###.#.##..#.....##..#..######..##.#####.####....#####..##.#.##.#.##..##.##.###.#..##.#
#.#.#.##.#.##.####..#.#....##.#######.........#.#.##.#...######.#..##.....##.##.##.#.######.######.##.#..##.##...######.....####.##....##.###########.##########..#.#....#.#.#.#..#.#.#.####.#.##.#.###.#..##.......###.#..##.##.....#.##..##.##.##...##.##.##..#...###.########.#.##..##...####.#.###.#.##.#.#.##.#...#####.#.##..##..####.####.#.###.#..##..###.#..#.#..#####....###....#.##.##..........##....##..###..####.###..##..##..####.######..##..#.##.#.##......#..#.##.###.####.####...###.#.##.#.#.##...#.####..#.#.#.###.##.##...#..##.##.#.###.####....#.####.......#.......#.###..#.#.#..####.#.####.##..##.##....##....#.####.##..###..###.###.##......###.#######.#....##.########.#####.#.#....###..###..##.......##.#...###.#.#.##....########..........#.#.##.##.##.#######.#..##########...##....#####.#.##...#.##.###...#.###...##.#.#..###.....#..##....#
#######..###.....#.##.###.#####..#####.##.###.#.####.###...##.####.#####.##..##.####..##.######.#.....#.##..####..##..###.###.########.#..##..###.....##......###.#.##.###.###.##.#.#.#.#.######..#.##..##..#.###.###.....##..######...##.##..#...###.##.#...##.###.##..#.###....#.###..###..##....##....##.....######.#.......###..##..##...##..#.#.....####.#...##.....##.#.####.#...##.#..############.######..##..###.#.#..##..####.##.##.#...#..#..####...##.#..######.##....#.#.#..#.#.#.#..###.#.#.##.#.#.####...#..##.....#.##..#...###.#.##...#.#.##..#.#####...#..###.##.##.#######.#.##.....##..###.#...##..##..#.#..#.####.#...##....#.##.##.#....##.##.##.####...##.#.#.#.####...#.####......#.######...##.....########.##..#.####..#.#.#..#.##.##...#.####.#####...##.##.##..##.##....##.#.####.#######.#####.#....##.##.#...####.....#.####.#...##.#.#####.######.#
################.#.##.#.###.###.##.#.########....#.#..#..#....##..........##.#...##..###...#..#.#####....##...##.##..###...#..#.#.###..##..##.#.#####.#####.#.......##.###..#.......#...#.#..####...###....#####..#.###.#....##.#..###..#..##.#####.#.##...####.##...##.#.#.#.##....##.##...##..########.########.#....#######..###.##.##..#####.....##.###.#.###.###.##.##...#.#..##.##..##.##.#.#...###...#..##.#..##.#.#.##..##..##..##.##.###.##.##.#.#..####.##..#.##...####...#.#.##.....#.##.#........#.....##.###.#######.#..##...###.....####.#....##.#..##.#.###.##....####..###......###.####..##.#.#.####.##..##.#.###########.#####.#.#..##.###.###.##.#####.##.##..#.#...#.##.###..##..######..##..#.####.#####..#.#.#.###.#......##...#.####..##.#######...#.#..###........##...##.####......#.###.#.#...#.#...#####.#..##.##....#####.##.#.#.####.#.##.....#.#...#
#.#.#.###...#...........###.#....#.#..#.###.####.#.##...#####..##########....###..##.#.###.##.#.#...##.#....####.###...###...##.#.#.##.##.##..#..##.#.#.#...##.####.##...##...#####.###.#...##....#...####.##..##.#..#####.####.##..##.##.##...##...#..###..##...###.#....#.#.#####.##..###..##..##.#.#...#.###.....##.....####.#.#.##..##.###...########.#.......#.###..####.#.##.######..#.#......#...###...##..#.##..#.#.##.####..##.##.....#..#...#.#.#.##..#....##.####.##.###.#....#####.#.##.######.###.#####...##..#.###....##..#.#.#####..##....#.##....###.#..##..###.####..##.##.#####.#.#....##..#.#....#..##.#..#.#.#.#####....##.#.#.##..#.##..#.#.##.#.##..##..#.##.#.#.#.##.....####.....##.####.#..##..#.#.##.#.#....#....###.##..###..##..##.....##.##.##...######.##.#####.###......####...........#.#.##.##.#.....##...####...##..##.#.....#....##.#.###.##.##
#...#.#.###...##.#.####...#.####.#.##.#.#.#.####....#####.#.##...###..######.#...##....##...#...##.########.#.#..#.##.######.##.#...##.##..##...##........######....##.#########......#.#.###########.#..#..##.##.#.##.....##.#.#..##...#.####..###.#.#####..##.##.#.##.###.###........##.#.##..###.#.###.....#######..###........#.##.##....###.....#.#..#######.#..###...#.....#.#.##.##.#.#########.#####.####.#..##.....##..#...##..######.##.###.#...#.###...#.##...#...##.....###.##.###....#.#.##...##....#.###..##.....####.#####.#.#.....##..#.##.###.###.#.#.###.##.#.##.##..#....#.##......####..##...####.###.##.....#..##...##.#..#....##.#..##.#.#..#.#.##.##..##..#...###.#..#.#..##..#####..#....#.##..##.#.#..#.####...##########.##..####..##.####..##.##.####..#...###.##......#.#####.###.#.#########.#.......#.######..##..###..##....#####.####..#####.....#
###.#.#...#####..#.#..###......#.#.#......#.#..###.##..#.....###.#.##...####.###..####..###.###.#..#.##.#.....##.#.....#.##..##...#....#..##..######.#.##.#...#####.##..##.###.#.####......#...###....##.##....##...######.##.#.##....#.#.#.##.##.#...##..##..#.#.......##..####.#####.##....##..#..#.#.#####.#.#.....#########.#....#..###.##.#.#####.##.##........##.#.#...###.#...##......##.##.#.#.##.#..#.##...#######..##.###.###..##..#..#.##....#....######.####.###.######.#.#..#.#.#.##......###....####.##..#######.##.#...##..#.#####..#.#######.#..##...#.##..##.#.##..#.##.##...##.#.##.#.#..###.#...##.##..##.#####.########.##.####......##....#.##.#..#..##..##.#.####....########.###..##.####.#.##.##....#.##.##.##.##.##..#.##..##.#.##.##..##.##..#.##....##.##.##....####.#.#.#.......###.....##.##.#.#########.#.###.##.##.##.##.######.#......###..###.#.#
#...#.##.###.########.#.##.###.#.#.######.#.##.##...##.####.##........###.....#..###.##.#.#.#.#.##.#.##.#####.##.###.#.#.###.###.###.#...####..##.##.###..###..........###.#.#.####...####.###.#.####.....####.##.###...#..#.....###.##.............#.###.##.##.#####.#....##..###..#...####.###.##...#.#.#.#.#.#######.........##.#.#.##..........#.#.##..########.#..#########...###..####..#.............##..#.###.####..###.#.#.#.##.###.##.#.####.##.#.##...#...#.#.#....#.###.....##...#######.######.#.#.##.##.##.#..#..##.#.#####...#.#.##....##..##.#.#####....##.##......##..#.###########......##.###.###..###..#.........#.##....#..#.######.##.####..#.#.##.##..###.#..##..#.##.#.##.#...#.###.#.##.#.#..###.###.##.##.##..#..#.##.#..##....##..##.##.##.##.#..#.##..#...##.###.##.###...#.#.######.##....##.#.....###...#..#...#.##.#...#.###......#.##...##.#.#.###
#.#......##..#..##......#####....#.#..#...........###..##......######..######.#.##....#.#............##.#.#......#.###.#.#.#.#.########.###...##......################.#.#.#.#.##.###.#...............###.#.#.......###.##.####.##.#######.#.#.#.####.#.#.....#.......##.#..##..###.###......#.#.###.##.#...#.#.#...#####.#.########.#.########.####....##..#.#.###.##.##.#.##...#..#####.###...####.######.###.....#.#....##.#.#.....#...##.#..#.#.##..#.######.###.#.#.####.#.#.#####..##.##...##......####...##.##..#.##.##.#.....##.###.#.#.#####..#.##..#...##..##.##..#.####..#.##....#########.#####...##...##.#.##...#####.###..####.##.#.##.##..##.##.#.##.#..#..#.##.....####.####.#.##.#.###.#...#.##.#...##....##..#.##.##.##.##..#.#.##..##.#..##..##.##......######.#.####...#.##...#######...#.######.####.#.#####.###.##.###...#..#.###...##.##.#########..#.#...#
###.##.#..##.##.#######.#.##..##...##.#####.##.##.#.#.###########.###.##.#.#.....####.#.#.#########.##....####.#....#..#.#.#.#.##.#.##....#.#..###.#.##..................#.........##.##.#.###.##.#####.#.#.##.#######.....##.#.##.##..###.#########......#.#.#.##.#.######..##..#......##.#...#.#.#.#..###...#.##.##..##.#.#.....##.#..##...#..#..####..#.##...#...#..##....######..#.#....#####....#.......##.#####.###.##....#.#.#.###..#.##...#.#..#####.##......#.#...#..#.#.##.###.#...###....######.#..####.#..##.#..##.###.#..#.##..#.#.#.....##..##...###..######.####....##..#.####.##.#.#..###...####.###....##.###.######..##..#..#.#.#..#..##...#....#...##.##.######...##..#.#.#.#......#.#.###.##.##.##..######.#.##..#.......##......######..##.#.....#.##.#.#.#.......#.#.#..#.######.###.##....#.####.#.#...#.#.#.#.#....##.##.##.##..###..####..#.##...##.#.###
#...#####....##.#.#.......#####..#.....#.#######.......##.###.#.......##.#.#####......#.#####.....#..##.#....######.##.#.#...#.#..#....#######..##.####.#.##.########.##...##.##.#.....###..#########.......##..###.#..###.#....##..##.#.####.#.##.##.#.#.#.#.###..#.##.#.##.###.####.#.#..###...#.#.##...###.#.#..##.###########....##..###.#.##.##.##.##..###.###.#.######.##..###...###.####...#.########.##....##...#..####.#####..###.#.#..###.##...##...#.####.#.###.##.....#...#..##.##.####.##..#..##.##.....##....##..#.####.#.#..##...##.##..##..###.#...##.##....####.#.##.##...##.##.#.##.#.###........##.#.##.#.#...##.##..##.##.#.#.##.##.##.#.#.####.###.......###..#####.....#.#.##.###.#..##.##..#....#####...#..#.##.####.####.#####..#.##..#.#.##########.#.##.########.#.##..##.....##..#.####..#.#.#.#.###.#.#.#.####..#.##.##..##.#.##.#....##..###.#..#.#.#
#####.#.####.##...#######...##########....###.#..##.##..#.#.#.##.####.##.#.#.#.######.#.##..#####.##.######.###..........#.###.##.####.#.#.#...##..##.###########.....#..#.##..####.#######.#.##....###.###.##.##.#.#.####...##....###.#.###....##....#######...##.###.....#.......#############......#.###.....#.###..#..##.#..####.#..##.#.#.#..##.#...##.#.#.##..#..##.......##.##.###..##.#######.##.###.#..#####.#...##.##.##.#..##.#.....####..#.######.###.......#..######.###.##.#..##.#..#..##.##.#...####.######....##.##.......###.####.##.####.......#.##..##.###..#.#..#....###...#.#.##.#.#.#.######.##.###......####..#.##..#..#.#.##.#..##.###..###.########.##.##...##..##.##.#..#.###...###..##.#.####...###.##.#.......#..##..#...##.#.###.#....###.#.##..#.#.......##..#.##.##..#.#..####...#..##.#...........#.#.##...##..#.##.##..#..#.#.#####.##...##.#...#
##.#....#.....##.###..#####...###.#.#####.#.#.####..###.#.#......#....#........##.....#..##.##........##....#.##.###.###.#.##..#...#.....#.###..####..###...#...#.############.#######.#.####..####.##..##..#.....#.####...#####.#.....#...##.#..#######.#.#..############...##.#.##.#.#.##......##.#...#.#.###...#.#.##.##..##.##.#...##....#...##....#.#.......##.#.####.#.##.##......##.#..#.#..............####.###.###..##.#..##.#..#####..#.##...#..##...###.#.##.#.##.##.#..#...#.#.###.##.##....##...###.##...##.####....#######.##....#.####..#.#.#######..##.#....##.#.##...####.##.##...##.#.#.#.##.######.##..#.#####.##....##...##.#..#.##.##.##..##...#.#..##...#.#..#####.#####.#.####.##.##.##.##.#..####.##.#.#..#.############...#..#.#.#.#.#.####.#.#..#.##.#.#########.#.......##.##....##.##.###.#.#.###.#####.#.###.####.#.....##.##.#.....#.#..###.##.#.###
#..####...###......##....####.#......###......#.#####.#...##.########.#.######.######...##...########.#####.#.#########....###.###.##.#.##.#...##.##.##.###...#.###....##.#.####.#.#.#.#.#..##.........####.##.####..#.###.###########...#.#####.##.##.#.#...####.##.###...#.#..#..#.#.#.#####.########.#.###.#.#......#.##.##.....###..####.#.####.##.#######.####.#..#.######..####.###....##.#############.###.#.##....##.##.##.##.##.#.##..##.####.#.#####...#####....##....##...#.....#.#.#..####.##..####..####..#.#.#####..###.....####....##..##.#.#.##..#.##..#.#.##..#####.##.##..#..###......#.........##..#..##.....#..##.######.##.##.#.#..##.#..#####.....#####...##.#.#.#.#.#.......##.....#.##..#.#.##.##.#..#.##.#.#.#.##.####..#.####.#.#.#....###...##.#..#.#....###.##.#.####.######.####..#....#.#.###.####.##.#.#...#.##...###.#.......#.###.#.###..##.....#
##..###.###...#.##....##...##.##.#.#...####.#....##.....#..######.....####...#.#.#..##.####.##..#.##..#.##..#..##..#....##..##..#..####.##.###.##.##.##.#######.##..##......#.#............##..##########.#......###.#.#####.##....###.#####.#.#.#..#....###....#.#..#.##.##.##.##.........######..#......##..######.###.##.#..###.##..##.##....#.#..####.#.##..##....##..#.#.##.......#####.##.#..#.#...###....#.#..###.##..##.#..#..##....##.##.#.#......##..####.#####..####..##.######.#.#.##..##...##..#.#.##..#.##....#.###...####.##..#.####..##..#......######.#.#..##..##.#.##.##.##.##.######...#.#########.##..##.####.##...#.#.#.........#.###...###.#..######..###.##.#.#.#.#...#######..##.##.##.##.#.#..##.##...##.#.#......#.#..#####...#.#.#.####.#.###....##.#.####...##.....####....####.##.#.####.#.##...##..##.#.#.###.#..########.###.##..##...#.##..####.##
###.#.######.##..##.######.#...#######...#####.#..#######.##....#####.##.###...#.##.#...##...##.#.###.#..##.#.####.####.##.####.#.##.#..##..##..#.##.#...........#######.##.....#.#.##.#.#.#####.####.#.#...###.##.#.#.#.##...####.#....#.#..#.#.##.###.##.#.####.##.#..############.#.#.#.#.##.##.######.###.##.....#.#.#....##....##.##..####.....###.#.#.###..####..##......###.#.#.#.#.#.##.##.#.###.#.##.###.#.##....##.##.##.##.#####.....#.#.##.##.####.#.#...##...###...######.##.......##..###.##.##.#..##....####.#.#...###.#...##...#.###.#..##.##.#...#.#....####..##.....#.....#..#.#.#..#.#####.#.#.##..##.#####.#..###.##.#.#.#.#.###....#..###.#.##.#.#..#.##....#.....#.#.#####.#.##.####...#.##.#.#.##..####.##.#...#.####.##.#.#.#.#...#.....#..#..###.###......###.##..#.###.##.######..##.#....#.#..##.###.###...#...#.#.####..##....########.###..#.##.#..##
#......##.....#.######..#..###..##.....#..###..##..##..#..#####.#.##..##..####.#.#..###.####..#...#.#...##....##...#..###...#.#.#..#.##..#.##..##.##.###.#.#####.#.#.#.#.###.#.###########..#.#.......#.######..##.....#.##.####...####...##.#......#.#.##.#.#.##......######.##.....###.#....#.#.........#.#.######.#...##########.##.##.##....##.###......#.##.#.###..######...###.#.....#..#.#..#.#.........#.....###.###.##..#.##..######.###.......###.#....###..###.....#..#.#.#.###.###.###.##.#.##.#....####.#####..#.###.#.#.###..###.#..##.#.###.########.##.#..#.##.####.#.#.#####.##.#.##...#.##..#.#.#..##...#.#..##.#.#..#.#.############...##.#.#.#......##.#####...#####.#..##.#.#.##.#.####.#.##.#.#....##.#..##.#.###.##...##.#.#.#####...#####.##.##...####.#####...#..####.#.##....#.##.##.#.####.#.##..#.#...###.#.###....#.#.##..#####..###...##.##..#.##..#
######.####.#####.#..##.##.....####.#.###.#.#.##..####.##.#.#......##.#..##....#.##.##...#.##.###...###..####..###.##.##..#.#.#.##...###.#..##..#....#######.#...........#.#####.#.##.##...##.#######.#.#.##.##.######.#....##.###..##..#.#....####.#.#.##.#.#.#######..#.##...##############.....#######.#.#.#.#.#..#.####.....#......##.#####.####.######.#.#..#..##.##..#.#.###########.##...##.#.#######.###.#######.#.#..##.#.##.##........#######..##.#.####.#.####.#.####........####...#....#.#.#....##..##..#.#.##...#.#...#.#.##..##...##..#..#..#.#..##..#####.#.##..###.#.....###..#.#..###....##...#.##....###.##.##.....##....##..#..##.###.##.....#.######...##.#.#####.#.#.##..#.#.#.....##..#.##.#.#.#####.##........###..####......##.#.#..#.#......##.##.#....#####.#.####.....#.####..#.#.....#...#..##.#.#.###......#..####.#....#####..##.#.####..##.#.###.#
#.......###.##.#..##.......###.#.#######..#.#.###.#.#.......###.##..#.##.#####.#..#.####.#.#...####..#..###.#.##.#.#..#..##.#.#..###.#.#.##.###...##.#...##....######.##...#####......####.##.#.#................####..###.###..##.##..#####.###...........#.#..####.##....###.#.##.##.##..##.######......#.#.#.#.##......##.##...#.##..#..##.#....#.#......#.##.##.##..##......##..##..##.##.#........###....##.##.##...#.#.##..#....#######.###.###.#.##..#..#.#...#..######.#.####.###.####.###.##...####.#####..##.#..###.#.###.....##.#####.###.#.##.##.#.##..##.##....##.##.####.####...##.#.##.#.#.####.##.#####.##...#..####.####.#####.##.#..#....#.#####....####.##..#.###.#......##.#.#...#######...##.#.....##...#.######...##..#.##.#####....#.##...####.##..#...####.#......##..#.#.#.##.##.#.##.####.###.##..#.#.#.#####.##.##.##.#.#####..##.......##..###....##.#
######.##.###..##.####.#.#.#......##.#.##.#.###.......#.###...#####.......##.#.##.#.#.#....###.#.###.#.##.#......#.##.##.##.#.#.###.......#..####..####.##..#.##......##.###.#.######.#..#..#...##.##.######.###....##..##.#...##.....##.#######.#.#.#.#.#...#.##.......####.........#.###.####.##.######.#.#.#.#.#..######..###.######.#.##..#.####.######.#.#..#...#.####.#.#.##.####.....####.##.##.#.####.##..#.####.#.#..##.####.#.#.#.#.#.#.#.#....##.#.##.##.##.##........##.#.#.#......#....#.#.##.#..###..###.##.##.....######.#...#.#.........#.......##.....##.####.##.##.#.##.#.###....##...###.##....#.###.#..#...##.....#.#...##..##.##.####.#..#....#.##.##.###.#.#.#.#.##.#.#......#......##.#....#.########...#.#.########.#.##.##.####.##.###.###.#####...####.#.######..#.######..#..#....#...##..##..#.##.#.#.##.#...#.##..........#.###.#########...####.#..#
#.......#.##..##....#..##########.##.........#..####.####...#.##..##.#.##...........#.####.#.#.#.#.#...#..#.####.#.##.####....#.##..#####.#.##.###..#.#..##.######.#.######.....###...##.##.###..##########..######.##.###.###..####.##...#.#..#######.#.###....##.####...#####.#.##........##..#...#.............##.#...#####.#..###.....###.....##.##.#.....##.###....#.#####.##.##.#####...#######....#.#..##.##..##......##....##.#.........#.#.###.##..#.#..##.##..#####.##.#....#.######...######.##.##.#.##..#..#...##.####.###..##.##.##.###.####.########.#####..#.#..##.##...##...#.##.######..##..#.####.#.#...##########.##...#####.##....##.....##.####.#...#.#.#...#.....#######.######.##.######.#...#.#.#.#..###.....##..##...##.#...##..##.#.#.#.#..##...####...#..##..##....####..##.##.####.###..###.##..#.#.#.##...###..#.########.#.#.#.#.##.##...###.#....##
#######...###.#####.########...##..####.####...##....#.######.#..#####..##.##.##.##....##........#.###.#.######....##.#.###.#....####.###.#.##..##.##...#######.#######.#.#####.....#....#...###..#.##......##.###...#.##..#.#.##.#.....###.##..#.#########..#.########.#.#.#.###.###.#####..##.###.#.###########.##.#.###.##..####.#####..##.#####..##.#####......##.###.##.##.##.#..#.#.#.###...####.#...##.##..#.#######.######.##.###.#.#.###.#..##..##.#...###.##.##.#.###..####.#.###....####.##...#.##.#.###.##.###.......#.#...##.....####.#......##....#...#.###.#.#.##...###..##.##.##..##....####.#...##.#.#.####..#.##....###.#..##.###.#..#####..#.#..#.###.#.#...###.##.##.##........#######.##.#####.....#.##.#...#.#....##..####.#.#####..###.#...##..#.####...###.##..###.####.#..##..##...##.#.##.#.#.###.#......###..###....#....####........#.####.##..##.####
##.#....#.....#.#.#.#.##.#.###..#.##.####....#.#..#.##.....#..##.#.###.##..#...#######....##.###...#.#.#...##.####.##....######.###.....#...##.##..####....##.#.#.#.#...#.#.#...######.#...#...##.#.#####.#.##.#.###.#..##.#.#.##.#.#.###...###....#.##.#...####..#...###...#..####.###.#.##....#.#.###..#####.....#.#...#.###...##.#.###.##.....##.###.##.###.###........##....##.##.#.#...#.###.#....###.#.....##..##.##...##..#.##...#####.#.#...####.##.##.##....#.##....###.##.#.#.#.##.#..##..####.#.#..#.#.#.##..#####.####.###.####.###.#..#.####....##...#....##.#.#.##.#..##.###.......###.##..##..#.###..#.#....##....###.###....##...#####.#.#.#.##...####.#...###..##.##.##..###.###.##.#.##..#..##....#####.#....#####.#.###.###.....##.###..#..#.#####...###..#..##....##.#.##.#...####..#.####.#.##...#..##...######.#.##.#.####.####.#..#.#.#.##.#.##.##.###.#..#
#..####.#####.......#........##........#####.#.###########.##.#.........##########.#####.#########.......####......###.#..##.#....#####.##.##...##..##..####..........#.......######.#####.#.#.......#....#.#....##....##..#...#..###..##.###...##...##.###..####.#.#######.#.##.#...##.#.#####.#....#..##...###.#.....###.#...#.##.....#..#.######.##...#..#####..##########.#..#.##.#.##.##..#..###.####.##.##..#.##...#.#####.#.##.####.#......####...##.##..##.###.#####.#.####.#.#.#.####.####..##....#.##.#.#.###..####.##.#.#.#.#.#..##..##.....##.#####.#####.###.#....#.##..#...##.#.#.##.#####....##..#..##...#####.####.#.#.##.#####.##.#.#.#.#.#..#.###.##.#.######.....#..##.#.#..####.....##.##.##.##.#.##..#.########.#...#...##.####..#.##...##.#.##..###.#.######.#.##..#.##...####.##....##....#..###.##..###...##.#.##....##.....#...####.####.#..#.#..#.#.##.#
##.#.#####..##.#.##.#####.##....##.###.......#.#................###.#.#####.#..#.....#.####....#########..#.#.####.#.####.#....####.....#...#.###..####.#.####.##.#.#.####.######..........#.#.##.##...#.#######....##.###.###...###..##..#.##.#####........##.#..#.##..###...#..###.##.#.#.#.#.####.#.#####.######.##..##.###.########.##......##..####...##.#.##......##.#####.#..#.......##.##...###.....#####...##.#...##.#....##.##...###.####..###.##.#..##...##...#.#.#..##.........##...##..######...##...#.#...##....##.#.#.#.#.#.##..####.########..####.####.#.#.########.#.###..#####......####..##...##..#.#..#...##....#.#...##................##.#.#.##...###....######.#..#.#.##.###.##.#..##.####.....##.....##.#.#######.####.##.#.##..##.##..#.###.....#.#..##..#####......####.#.#..####..##...####.##.##.###.##.#....##....###...#..##...#...##.#...##...##.#
##.#...#.#.##..###........#..#.###.#...##.##.#####.######.#.##.##...#####.#.##.#####.#.##.####.#......###.#.####...#.##.#.####..##..###.###....##.##.#.......####.############....#.#.#.##.#.####.####.#..####...#.###.....#.###...##..##.#..###.##########..#.##.#.##.##...#.##...................#...#.##....##...#..##...##.##..#.##.####.######.#..#.#.#..#.#..#######.#..##.##.#.#.#.#.##.##.#.######.###....########....####..#..##.##.....##.##....#.#.##..###..###.....####.#####.#####.##.##.##...###..#.#.#.#####.#....#...#........##.##.....##.#.##......##.....##..##...#.#.##...##..######....##..#..##.###.##.#######.....######.######.#.###..#.#.#..##.##.####.####.####.#.......##.#####.#..#.#..###.##.###.......#.#.....##...#...#..##...#.##..##.#####...####..##.###.######..#.##....##.######..#.#..##.##.......#.######...#.#.#.#####...#.##...######....#
#....#......#######.#.##.#######.#####.########.######....###...#.#.##.....................##....####..##.#..#.###.#.#......#..#######......#.##...#...##.##.###..#..##...##.###.######.#..####.###.#######.#..#.###...#.#.....#.###..##....##...#.##.##.###........##..#####.####################.###...#####..######..##.##...##......#.#...##.##.##...####.#...######...#.##.....#######..#.#..###.#......####..##.##.###.######...##...###.###...####.#.#..##.....##.#####.##.###.##...##...##.##.####...####.#...##..#.####.###...####.####.#..######.#.####.#####.#.####.#####.#.#.##.#####..#.#.####..##.#####..#......#.#..#.##.###.#.###......###...##...##.##..#.##......#..#.#.#.###.####...##....##.##...####...#.##.####.#.########.#.###.####.##..##..#.....#.###.##.##..#.#......##.#..#.####....###..##.#.##...#####.#####....##.####################.##.#.#..####
###.###.###.#.##....#.#####.......#.##.#...##.#........##.####.#########.#.######.####.###.##.#.##....##....##.#.#.#.######.##..#.##.########.####...######..#.##.##..###.##.######.....####.........##.#.....#####..#####.#.#.....##..##.######.......#.#...#.####.###..#.##.#.#.##.###.##........#.###.#.#.#.##.##...##..####.#######.#.###..#.##..###..##..###.##...###.#.#..#.#..#.#.#..##.#.###..#####.###.##.#..#...##..#..####.#..#..#...###.###.#.#...####.####..##........#...##.##..#..#.##..##..###.#....###..####....#.##.###....#.#.##.#..##.....#.....#.###.##.#.##.##.#.#.##...#.##...#.##.##.#..##..##...##.#.#...#####.##..#..#######.#####.##.####..##....###.####.##.#.#...#.##.#.#######.##..##.###.#.########....#.#.#.#.#.....##..##...##....##.###.#.#.#.....##.#.#.#######.#.##..#.###.##...###.#..###.#.###.......####....#.######..###.#.#..##.#.##.#..#
######..#...#.####.####.#.#######.#.##.###....#.##.########.......####.###.#......#..###.#.##########..####.##.#......##.#...#.##.#...##.#.#....####....######..#####..#..#..#.##...###.#....#######.##.#######.....########.#.#.#..#.###..#.#.###.###.#.#.#.####....###.#.#................######...#.#.#.#....#..###..##..#....##.###...##..##..##.#.##..##..##.####..##.#...#####.#.#.##..#.#.#.##..#...........##.#.###..##.##.##.#####.#.###....#..#.#.#.##.#.#..##.#########.###..#..#####...##.####.#.#.##.####..##.#..##...#####..##.#.#.#..#.###.#####.#####.##..##.#..#.#....#.###.##.####.#.#.......####..#.##########.##..#..##...##.##.##.#..#...#.#.#..##..####.....##.##.#.#.###.#..#..#.##.#.##.##...#..#.##.#...#.##.........###.###..#####.#..#.###.#.###.#.#.######.#.....#.##..#.###.#.#.#.##.###...#.##.#.#.#.#.###############..#.##..##...#...###.#.##...##
#.##.######.....####.......#.#.#.....#.######.###..####.####.#.####.#......##.##.###..#......#.#..##..##..#.##.####.#.#..###...##.###..#.#.###.##..##.###.#.#..###..##.##.##.#..#.###.######.#..........#.##.######.#..#.#######.##....#..##.#.#.####....######.###.##...#.#.#########.#.####......#.....#.####...##.##..##.###.##..#...#####.###.##...###.#..##...####....#####.#........##...#.#..##.###########..#...#.#.##.........##.....#.####.##...#.####.#.#.##...#.#........##...########.##..##......#.....##..#.#.#####..##.##.#....#.##.....#..###..###.#.##.##....##.####.#..##..#.#.#..#.#####.###..##...#..##.##.#..##.#.##..####.#...####.##.##...#.####..#.##.####...#...#.#.###.##.##.##.#.##..##.##.##......#####..##.##.###....###..##.#.#.#####.....##.#.#......#.###.#....#.##..#........##...###....#.#.#.#........#...####.##......#####.#.###.#.#.####..#
#.##.#.#.####.###..##.##.#.......##.####.##....###.#.........####.#...#.##########.##...#.##.#.##.###.###.#..#.#..###.#.##.###..#..###.#.#.#.#.##.##..#.#.#.##.##..##......#.#.#####..##..#####.#######.#.#....##.####.#.#.##.....####.##..#.#.#.##.#.##.##.##..#....###...####.####################.###....##..#.##.###..#.#....##.###..##.#..##..###..##.##....###.###.####.##.##.#.#.#.####.....##...#.###.#####.#.###...##########.#####.##..##...###.#..##......##.###.#.####.#####.##...#.#...##..######.###.###..##.########.##.#######.#.##.#####.##.#.##...#.##..#.##.##.###....####.#.#...##.#.###..##.##..#...##..##.##.##.#..##..#.#.###..#.#.##....###...##.##.#..#.####...###.#..##.##.##..#.#.##.##........#.##...##..########.###.##...##......##..##.#####...#.##.###.###.######..##.#.######....###...####.#.#.##.#######.#......#..#.##.#.#...#...#.#.#..##..##
#.#....#..#....##.##############.#...##..####.##.##########.##......#.#.#.............######.#.##.#.........##.##..#...........##.##.....#......#.##.##...#.#..##.##..#.##......##...##..##.#...##..........##.##..##..#.#..#.##.#####.###.#...#.#..###.....###.####.#.###..#...#....##.#....#.#.##########..####.##.#.##...###.###.#...###.#.####...##....#####..##.#.#......##.####.###....###.#..###...#.#.#...#.#...###..###.....#...#.#..##..##.####...###.#######.##..####...#.##...###.#.###.##.##.#.#..##...###.##.##.##.#..##...##.#..#.##....##.##...##.###.###.#.####..#.##.###.##.#.##.##....#.##..#.#..####..##.##.##.##.#.##..##.#.##..##...###.###...####.##.##.#....###.......###.##..#.##.#.#..####.######..#.#..##.##.#..##..##..###.#..##.#..##..#....#..###.####.#...#..#..#..##..#.#.##.###.##.###.###..#.#.#....#.....########.####..#.###.#.###.#.##.#..###
#.####.##.##.#.#...#.#.#.....#.#####..##..##......##...##.#######.#.#.#.################.#..........##.#.##.....##...#.#######....######.###.##.#.....##.##...###.##.##.#######.####.###.##.#####..##.#.#.####.###..##.....#######...#.#.#.#.#.#.##..######..##......#.####.###.#.#####.####.#.........###..####...#.#.####.##..#.#...#.#...#.##...#######..##.##..#.#.##.######.#.##.#...##.###.##.#.###.....###.#...####..##.#####.###.....###.##..##.##.##....#.##....##..#.###.#.###.##...#........##...##.###.##....#..#.#..##..##.##....##.##.####.....#..#.###..##.#....##.#.#..#.#.##......#####.#..##.#...##.###.#..#..##..#.#.#..##....##.#####.#.#...###..##..##.##.#.####...#####......##...##.....##.........#########...#...##..###.##.#...##..#.###.##.####.##.....##.##.##.##.##.####...#.#...####..###.#.##.#.#.#.####.###.##.#.#.....#####.##..#.##..#.#....##.#
#.#.#...#.##.####.##.#.#####.....####.##.####.#.######......#.#.#######.#.....#..##......#.######.#.##########.##########.##.####.#.#....#####..##.##..#.##.#.##..#######........##..#.#.....###..#####.####.#.#.##..#.###..##.##..#.#.#.#.#.#.#..#.##.#####..######...#.##.##....#.#...##...#########.....###...#......##...##.#.#####.###.#.##.#...##.##.##..#..##.......#.##.......##.##..#.###..#.###.###.##..###..##..##...##.#..####.#..#..##.##..##..###.##..###.####..........##.####.##.#.###.####.##..##..####.#.##...##..##..#####.##..#.#.##.######.#.....##....##.#....##.#....##.###..##.#.#.##..#.###..#.####.#.####.#.....######.#...##.......###.#.###.##..#.....#.###.....#########.######.#####.###.######...####.##.#####........##.##..####.#......##..#.#####..#.....##..#.#.#..###.#.###..##.#.#.#.##.#.#........###........#####.##...##....##.#.####.##.#
#...#.#.......##...#.#.#..#####.##....##.#.####.#.#..#####.##....#..#########.##..######.###.#.######.#.#.###..##..##.##..##...##...####...####.##..##.#.#..#.#..##.#.########.#..##...####.##.#####....##.....#.###.####..###..####.........####............###.#.###.#.....####...##.#####.###.#.#.#####.#.#######.##.#..####...#.#...#......###.####..#.###.##.####.#####.###.###########....###.#.#.####...##.##..####..###..#.##......##.#.##...##.#..##...###..##.##.##.######.##...##..##.####...##..##.##..##.#..#.####..##.###..#.....##.#.#.....###.###.#####..#####.####....#.#######...##..#.#..#.##.....##..##..#.####.#.#####.#.#....########.#.#...#.##..###.#.#####..###.#####.##..#....#.#...##...######.....#.#.#...#..#.#..###.#.###.#####.##.#.#######.##.....##...###....##.#.#.####.#.#.#.##..#.#...##.....########.######.###.#.#.##.#####.###....##...##.#
##.##########.####.......##.#.#.#####.##...#.#....#.##.##...####...##.##.##.#.#..######...#......#.#..#...#.##..##.##.###....#####.##.####.........#####...#####.##...#.##..#####....#..#...#..###.###.##..#.#.#.#....#.##...##..##..###.#.#..#.##########.#..#..#.#.#.#####..#####.#...##.#.#........#..............#..##.##.##.##.###.#.##.#..#...##..##.#....#.#.##.##..#.#.#####...##.#####.#.#......#.###.#...##..##..##.##.#.#######.#.......###....#####.....##..##.##.##.#.#..###.###..####.###.###..#..##..#.##.#...##.##..#.##.#####.##...#.#####....##..#..##..##.####.###.##...#..####.###.#...##....######.####....##....#..##.#.###.##.##.....###.###.##.##.....##..#.##.....#.#..##...####.###.####.#......##.####.##.##.##.#.#########....###.##.#...##.#...#.########...###.###........#.#......##...##.#######.#.###....##.#.####......##.#.#.....###.####.###.#
#...##.#........######.#..#.#.#...###.####...####...#..####.#.#..#....#.....#.##.##...###...####.#.##.###.#..#.##.....#...##..#.##.....####.#####.##..#..###.##..##.###.#..##.#.###.###...#.#.##.#.##..#..####...####.#.#..###..###.####.####.#....##..######.##.#.#.#.#.####.#..##.###....#.#.##.#.#...###.#.######.##.....#.##.##.##..#######.##.####.##.####...#.##..##.#.#..##.#.###..#.#...#.######.#.#.#.###.###....##..##.#...###.####.#.##...##.###.#####.#####.#..##.#......##.....##.##........###...##..##.##.#.###..#..##.##.##.##.####...##.##.####..##.####.....##.......##.##.##....#.#.#.###..##...#..#..#.###.####.#...###.#.....##..##.##..##..#..##..#####.#..##.#..##.##.#.####.##..#..##..##..#.#######.#.#..##.#...#.#.##...##...####.#.##...####.#.###.#.#..##..#######.#.######...#.#.##....#.##.##...#........#.###....#.##.#####....###.####...##......#
###..#.#####.####.#..####.......###.#..####.##.####.##.#.#....#######.#####......####.#...####.#.#.#..#.#.##...######.#.####.##..#.#####.####......##.##.#.#.###......#.##......#####.#####.#.##.#.##.#####.####..#.#...##.#.##.#.###.....#.#####.##..##..#.#.#....#.#.#.#.#..##.#..#.####.#.############.#####...########.##.#...#.###.###.##...#.#.#...#.#..###.#.###..#.#.#.##..#...##.....#...##.......#.#.#.#..###.#....###.###.#.#..#.########.##..##.#.###.#.#.#.#.########.#..###.###...########.#.###.##.##..#..#...##.##.##.#.....#...###.###..##.#.#..##...#.#.#.##########.#..##..####.#.#.#...##..##.##.##.##...#.#..#.##.##.#.#.#.#..#.#######..##.#.####.#.##....##....#####....##.#..##.##.#..####....##...###.##.##.#.###......######...##.#..###..#.#...#.#.....##..##.#.##.........#.#...#..########...###.##.###.######..####.#...##.####..##..##..###..######
####.#.##.#...##..##.##.#######..#....##.#..##.#.#..##...####.#.#.#.#..##.######..##....####.#.#.#.##.#......#...#....#####...##.#.##.....######.####.##...#...######.#.###.#.#..........#.........#######.....##.....#..#...##....#####.##.##....###..##.....##.###...#.#.##.#..##....#.#.#..#.##.#.##....#.####...........#.#.#....##.#.#.####.....###.#.##.##......##.#.#.#..##.#.###..#.#.#.#....#.###.......##.#.######..#..##..#.##.#.#####.#...#.##..#.#.....#.#.#.#.##.##..##.###...##.##.#.####.#.##..##.###.##.#.####.#...#.#####.##.##.....##.#......#####.#.#.###...#......##..##..###.......####.######.....###...#.##.#..#....######.....##.###.#....#.#.....##.###..##.#...##.#..#.#.##.....##....##.####.####..##.##.#..##.######..##..###....##.##.#.#.###.#.#####..##....#..##.##.###.##.#####...#####.##....#.######.#.##..###.#.###..#.##.####..##.#.#.###.###
#.##...##.##.####.......#.#...##.##.#....##.##.#.##..#.###.##.#.......##..#.#####.###.#.##.......#......#.##.###.####.##..##.##..#..#####.#..#....##...##.##.###....#....###############.###.#.#.#..##.#...###..##.#.###.##.######.......##..####.#.#.#######.....##.#...#.##.##.###.#...#.##........#####.#..##..#.#######.#.######....#.#..#####.###........###.######.......##....##..##.######.#.######.####.#.....##.##.##.####.#......#.#.#.###.#..#.##.#####.#.#...#.##.#####..#.#.###..#..#.#.........###.#.#.#....#.#..###.#..#.#..##.#..#####..##.#####.##....#..####.######.#..####.#.####.####..#.#..#...#.###...###..####.#.#####..##.#####..#.....####...######.##..#####.######.##.#.#..#.####.##.#...#.#..#.##.##.#..#.##..#....##..##...###.###..#.#.#.###.......##.##.####.##...#...######.#.###..#.##.####.##....##....##.##.......##...##.##...##....#.#.#.#.#
#.####....##....#######...###.....#.##.#....#.....##.#.##.....#######..##.#.#.....#.#######.##.#...###.####..#...#.#...##.....##.##..#.#..##.####.####.##.#...#####.###.##.#.##.##.#......#########..#.#######.#####.##......#.#####.###.###..##......#.#.#...##.###.###....#.##..######.#..#.######.#.....#.#########.........##.#..####...##.#.#..##.#.#.##.#.#.###..###.##.####.#######..##.....#.#......##...#####.##.#..##.#.#..######.#.#.#.#.#.#.##.##..##.......###.##.....##...#.#.##.##.#.##.######.##..#...#.##.#...##.#...##.#.##..##....##.##....##...####...##.##..#..##.##..##....##.#.##.##.#.#.##.#####.##.##.##..##.....#.#..##...#..##.#####.#..###..##.....##..#.##...#.#...#.#.##.####....###.###.#.##.##....#.##.##.##.######....###.#.##..##.#.#.#.#.###.###...#.#.##.####.#.#..##.##...##..##.#...##..##.#####.#####....##########.##..###..##.#.#.......#
#.#.#####.#..#####.#####.##.#####.#########.#####.##...######.##.##.#.##..#.##.##...##.#.###############.#######.#.###.######.##.#..##.##.#..#.#...#.#.##.###..##.#.##..##...#..##.######.#.#.#..###.#.##.#..#..##....###.##.#.#.#.###.#.#.##..####.#.....#####....###.##.#...###.#..###.#.####.#.##.#####.....###.#...####.##....##..##..#.#......##########.#...#.#.###...####...#.##.##.######.#####.##.##..#..#.#...#.#.##..#.##..#####.#.....#.#.#.##.##.#####.#####....##.#######......#.#.....###...#...##...#.####.###....##.##..#.#..##..####...##.####.####.#.###..#..##.##...##.###.###...............#....##.#..##.##.######.##.##.###.##.##..#.##..#.##.#.#######..##......###.##.##.......#.####..##.......##..####...##........########..##.#.##.##...........####.##.##.#.#.....###.##.##..#.#####.##.###.##.###.#.#.#.##..##.###.#.#.#.#.....##.##..#.#.#.#.#####
#.#.#.......##.##...........###....#.###.....#.#...###.#.#.##.#..#..#..##...##.##.#..#.#.#.#.##......###....##.#...#.#....###.#..##..#.##.##.#.##.##...##..##.##..#.##.#####.##..#.#........#...##.#.#.##.##.#.##..#.######..#.#.#.##..#....#.##.########....###.####...####.##.#...##.#.#..##....#......###.###.....###....#####....##..########.##.##.##....#.#.....##..####.###...#...#.#......#..#########.##.....#......##....##.#...#.##.##...#.#....##.##.......###.###...#..####.##.##.#####...###.#.#....#####....######..#..##.#.##.##.##.####.#...#....##....####.#.##...###.##..#....####.###.#.#.####.#####.##.##.##....##..##.##..##.#..###....##.#.##.....##.##.##..###.##.#.##..####.#.##..##..###.####.##..###.#.####.###.#.##.##..#..##....##.#..##.#.#.##...##...........##.###########...##.##.##...#.#..#.#.....#.##.##..#.#.......#####.##.#..####.#.####.##
#.#.#######.##..#####.##.##...####...#.#####.....#............##.##...####.###.#####.....#.#.#######.#.####.#....#.....##.#...#.##..##.##.##.......##.###.##...##.#.##...##..###.#.########.##.###.....##.......##.#.##.####........##.####...##..##...#####......##..#..#.#.##.##.##..#...######.######.#.#...#.###.#...####...####..##.#.##...#.##.#..#####.#####.####.####..#.###.##.###########.##.........###.#.#####.#####.###..###.#.#######...#.####..######.###.#.##..###.##.####.....#.###.###.#.######.##.#####...#.###.#.##....##.##.##.#.##.###.#.####..####.......##.##.#..##...#.#####.#######...##.#.##..##.##..##.####.##...#.##....##.###.##....##.#.###...#....##.####...##.##..#.#.#..####......#####..##............#####...##.##..###.##..#.#######..##.####.##.###########..##.#..###..#.##..#.#...##.....#.#.......#.##.#.#########....#.##.#.#.....#.#..#
#.#.#.#..##..#.##...######..#..##..#......####.#######.#####.##..####.#.##.#.###.#.###.#.#.#..##..........#...##.##.#.##..#.#....##..#.##.#..#.###.##.#...###.##..#.##.###..##...#.##.##.........#####.#######.#######.......##.###.##.##.###.##.#####..######.##..#####......#.#...##.##.###.#.#.#......#.#.##################..#.#.##....####.#.#..##.#.##..##....#.#...#.##.#.##..##...##..##.##.####.#.#####.######......##...##.##...#..###.##.#....#.##.#.##....##....##...#.#..#.####.#.......##.....#.#...##..##.##.##.#......####.##....##.#.##..##.#.#.###..########.##..##.##.##.######....#.##.#######....##..#.##.##...##...###...####.##......#####..#.###.##.##.##.....#.###.#...##.#.####..#.##.#####.##..######.##############.##..##.##....##.#.#.##..##.####.##.#####.##.#.#.#.###...##...##.##.######.#..#.#######.###...#.....##.##..####...##.#.#.#####.#.##
#...#.##.#..##.####.##.....###....##.##.#....####......####..###..#.#.#.#....##........#...#.########.###...#.#..#..#####.####.#....##.##.########..#.#.###.#..##......##..#####.#.#...########.##........#.##.##.#.#####.#.######..........#.#..#.####....######.##.#.##.###.#.#.####.##.#.#.#.#.######.....##.#...##........##........####.#..#...##.....#.###.##.....###.#.....##..###..##........#.#####......##..####.###..###..####.#.##.#.#######...##.#.#####..##.######...##........##.####..####.##.###....##...#.##.###.######.....####..#.###.##.......##...#.#..#.##.##..........##.####.......##.#.##.#####.#.##..##.##..###.#.###.....####.#..#..##.#..##.##..#..#######.#.#.#.###.....##..##.#..#......##...##....#....#.#.#.#..###.#..##.####.........#####.##.##...##..#........#.#.######....##..##.#....##....#.######.#...###.....##.#....#.#........##.....#
#.#...##.##.....##..#########..##########.##..#.#.#.##.#....##.##.#.#.#.##.######.##.#.###.#.##.#.#.###...###.##.#####.#..##.######.........#.##.##......##.##.##.########..#.##...#.#..........###.#.#.#...#..##.#.#.########.##..##.##.##...#.##.#.#..#.##..#...##.#.#####....#.#.#..#..#...#.#..##....###.##.##.########.#####.##.#.##....##.###.###.##.#.#.#..##.####.#.###.####.##...####.#.###.....######.#..##.##.#.##..##.##.#....#.##....##.###.#.#..#..##.##..#........##########.#####.#..##.....#.#.####.####.#.##.#.#.#..#.#####.#####....##..##.###.####.##.##.#..#..##.##########......#####.#.....#....##.#..##.#...#.###....#.####.###.#.##.#.##..#.##..##.##.#####..#.#.#.....###.#####.#....##.#.#####.#######...####...#...##.....##..###..##########.##.##..##.##..##.########...##.#.##.####.###.#.##########.#.##.###.#..#####.###.####.#######.#####.#####
#####.....##.######.#.#.#.#.######.###.######...###########..#..#...........#.##...#.#####.#.#.......###.##...##.#.....##.##...############...##.##.######......#...####.#.##.###.#######.#####.#.#.###.#.#...###.#.....###.......##..#..####.#....#.#.######...#.......##.##.#.....##.##.###.#.##.#######.......#.#.##.#.#.#.#.######..####......#.#.###....#.####...###...##...##..##.###..###.######.##......##..#....#.###.##..#.####....####.##.#...####.#.##...##...###.##.##..#.##.####.##.##..##.##.#.#.#.....##....##.......##.#.#.#.....##.####.##....#.#.#..##......##.##..###.###..####.#..#.#######.##.#####.#.###...###...#.##.#..##..#.#.####.#.###.#....##...#.....#.##.#.#.######..##..#.##.###..###.#....##.#...###..#.###.#####.######.#...##.##.#.#.#.#...#.##...##.#...###.#.##.###.#.....##....#.#.###.##...#.#.##...######.######..##....#.###...##.#....##
##.######.#...##..............##........##..###..#.#.####.##.##.###########....########....#.#####.#..##.###.#########.....##.##..##...#.####....#..#.##.######.#.###..#.#..#.#.....#...#####.....#####.####.##...####.##.######.####.#.##......####.#.#.##.########.####...#####.#....##...........#.#####.##.#...#.#......#.#.##.#...##..#####.##.#.##..##....##..###.#.###..###..###..###..####.#....###########...##........##...#..###.##.##.##.###..##..#..#.#..#.############.......#.......##..####.......###.####.###.#.#.#..#.#.#.#.#####...##..##.######.##.#..##.###..###.#.#...##..#.####.#.#.#.#.#.##..##.#.#.#.#.#..#..###.#..#.####......##.....##.#.######.##.#.###.##.#.#.#.##.##..##.#.#..#.##.##....#####.###...##.......#.##..###.##.#.####......#.#.#.###..##.##....###.....##.#.#.####.######............#...#....###..#...#..#.##..###.##.#...#..#...##..#
#.........#.#.#########.###.#########.#....##...##.#.#.#......#...#.#.#.#.##.#####.##.####.#.###...##....#...##.#.#.####.#....###.####....#.####.##....#.#.###..#...##.#.#.##.#####.###..##.#####..##.####....###.#..#.....#..####.##.#########.###....#.##..###.##..#....############.####.#.##.##.......####.#.#...#.####.#.#.#..###.###..##...##.#.#########.#..##.#.#...##...##.....##.#.##.#....##..##.##...#..#####.###.#..###.##...#.##.##.##..###..#.##.#####.#......#.##..#######...#.###.###.##.####.##.##....#..#.#######.##.#.#.#.##..##.###.###.##.##..#....###.####.#.......###..##..##....#.#........###.....#.####.#.##.####.#.##...#.##..###.#.........##...#.#####.##.#.#...##.##.###.#...##.##..##.###.#.#..#..####.###.###.###.#.#..#.#..#.#.######.#.....##..#..#.#####..###.#......##.#..##.#..##.##.#.##.#.#.#.####.##.#.###.##.##.##.#..#.#.#.####.#######
#########.#.###.....#######.#.#.#..#####.###..#......#.######.###.#.......##..##.#.#...........###.###.#.#####...........#.##......#...##.........##.###.....##...###......##.##..#...##..#.#.#...##...##..##.##..##.#####...##.#..##.##..#.......##.#....##.#.#..##.####..##.#.##...#...###############.###.#.###.#####..........##.#..###..##.##..#..#.#.###....###.#.#.###..###..#.#..#.#.##.####.###.##..###...####.########.##...###.#.##.....##.#.##...##.#.#.....######.##.####.##########..#...##.##.########.#...##.##.#.#...#.#...#..##.##..#..#.#..#..##.#.#.###..#.##.##.######.#.####.#####.#.#.#####.##...#.###...##...##..##.....##.######...#####.##.#####.###..##.#.##.#.#.###..##.##..##.###.##.##........##.##.......####....#..#.#.##.##...#...###....#######...##.#.....######.#.####..##..#.#.##...#.#..#.#.###....#.##...##...#.##.##...##.###.##.#.###.#.#
#............##.##.##..#..........##.#.#.#.#########......#.#.....#######.#..##..#.#.#.#.##.####...#.######..###.##.#.####..##.#.#...#####.##.###......#.##.##..########.###..###.#.#####.#.#.###..###....##..###.#.....####.##.##..#####.#####.######.#####.#.##.#..#....##..#..###.###....###...........#..#.###....###########......##.##....###.##.#...#.####.##..#.#..#..##.#######.....##.#.####....#.##.#####.....##.##...####..#.....####.##.....###..#.#.###.#....##...#.##.#......#.#.##.###.#...#.######...###.##.#..#.###...###.#.###....##.##...##.###...#...####.#.....#..#...#..##...#.##.....###.#####.##..###.##..####.#####.###########.#####.####.....#...#.###...##.#...#.#.##..###.#............##.###.##.#..#######.#####.##...#.#...#.###.###.##.###.#.#.###......#.####..####.##.#.####.#.#.#################.####.#..#####.##..#..##.##...##......#.#.#.#
##########.######..###.##########..#.......#.#...#.######...##.##..#..##....####...#####.#...#.##.##..#.#.#.###...#########.##.#.#.#.##.....########.#####...#.###..#.#....##.#.#.#..##.......###.##...######..##.####.##.....#..##..##.#.....#.#.#.#..#.##..#..#.##.###.####.##.##....#.####.#####.#.###.##.###...####.##.##.#.##.#.#.##.##.##..#...#.###....#.#..##.#.#.##.##.....#####.####....#..####.#.##.##.####.#.....###...###.#####..#.#..####.##...##...#.####.######.#.#..#.####............###.#...##.#######..#.#.##..##.#.......##..#####..###........#####...##.#####...##.###.###.###..#.#####.#.###.####.##.#.##.####...##...#..##.#.##...##.#.##.#.#####.#....#..####.#.###.#.###..##...###############.####.##......#...#.#..###.##.#.###...#......#...#.#...##..###.#####.##..##...#.#.##...#.#..#.#####..##.##.#...#..##.#.#.#.##.##.###..#.###..####.#.....#
#.##........##....##...#.#.#...###.#####.#.#.###........###.######.##.#####.##.###..#.##.###.#.######.........########...#..#..#########.####....###...##..###...##...###.##....#.##..#######.#.#.#######..###............#.#...##..##..#####.#.#.#.##.#..##.##.#.##.##...##..#...####....##...######.#.#..#...###..#.#.#.......######.##.######...#.....####...#.##..#.#.....##.####.#.#..#####.##.##............#.#####.##.....#.#.....#...##.#.##.#...###..###...###...#..##.#.#.#####.############..##.#.####.#..##.##.#.#.##.###.#######.###.....#.###..#.##.#..#.#######..#.##.#.#...##.#.#.#.##....###......#.##.#.##...##.##.##.####.##.##..#.##.###.....#.#.###.#.##.###.##..#.#..#....#.#.##..#...........#.###..##..#..#.##...#.#.##..##.##.....#.###.######.###...#####.#.######.....##..###.#..###.#...##.#.#.##..#.##...###.##..#.#.#..#.##.#.#.##..#..###.####.####
#..########..####..###.......###.#.#..####....##.##.#.###.#.#.#.#..##.#...#.##.#.##.#.####...#.#.#.#..######.##.#.#.#..#.##.##.##......#.#####.#.....#....##.#.#####.##....##.#....##.#...#.......#.#.#.##.#.#####.#.######.#.#..#.####.#.##...........#.##..........####.###.#.###.#####..##.##...####.##.#.###.#.##.#.#######.#.#.#...#..##.#..#.#.#.#......#...###.#.#.#####...##......##..#..#...#####.##.###...#..##.########.#####.###..#.#.#..##.#####...##.##.###...##.......###..#.#..........##..#..##..##.#.........#..#.#####.....#...###.#..#..#####.#.##....##.##.#.#..####.###.#...#..###.##.#.######.#....##.#..#.##..#.#.##.##..##.#.#....#####.#.#.#......###....##.#.#.##.####......###.##.##.##.#.#.#.####...###########..##.....#.#####.#....#..##.#.##.###.......#.#.##.######.##....###....###.........##..#.#..##.###...#.#.##.##.#.#.###.#.###...##..#.##
#.##...#####......##.#.#####..##...#.##.###.#########.#.#.#...#...##..###...##.#.#....#.####.#.#.#.####.........#.#.####.##.########.#...#...############.##.#..##.#..##.#######.#.##.###.#.#####.#.#...........######...#######.....##......#.#.#####....##########.#.#...##.#.##...##.##.##..##.##.#.............#....##...##...#.###.#.###.#.###########.#####.........#.#.##.#######.####.##.###..##....#######.#.##..#.....##.####..#.##.......##..##.#..#.....#.#.#.#####.######.##.#.######.#.#....##.####.##...#.#####.#.##.##..###.###.########.##.#...#.######.##..#..#.##..#.#...#.###.#.##...#...........####.####.##.##.##...##.#..###.#.##.#..###..#.#...##.#..#####......#.#.....#.####..#############.#.#.#.#..###.#.##.####.#####.###..###..#.##.#.###....#.#.#.#.#####.#.#.....##...###.##.##.#.....#######.#..#####.##.#.##.##.#.#...#.#.#..##.#...##.##..##..#
#..##.##..#######.##.###.####..###.#.##.#.#...#.##.##.#.#.###.###.#..##.#.#..#.#.####.#..#.....#.#.#.#..#.##.##.......##.####.##.#######.###.##.#####.#.#.##...##..##..#..##.#####.##.#.#.###.##....####.#.####.#.#..###..#......#.###############.#.##.###.#.##...#.#.###.##.#.####.##.##....##..##.#############.####.####..###.#...#.#...#.###.##......####..####.######...##.#.#.#...#.#..#...#..####.###..........####.#.#.......#.##..##.#.##..##..#.#######.##.#.#.#..##..###.#..........##.#.##.#..#.#.#..########.#.#.#..#..##.##...#....#.##.#.#....######.##...##.##.#.##.##.##.##.##.....###...#####.######....##..#........####.##.#.#...#####...##.#.#.#.#######.##..######.#.#########..##.##.#..#..##.#.#.#.##...........#.#..#.##..##.##.##....#.......####.#.###.#.........###.###.##.#.##....#.###.##.#.####.##.##.....#.#..#......###...#.##....###...##.##.##
##.##.###.#.###.#.##.##.......###....##.....###..#......#...#.#...##.##.####.#.#..#.#.##.#####.#.#...#.##########.#.#....#.##......##.######.#............##.###..####.#.##...#.##.##.#...##...###.###########..#...##.##.##.#.#.#..#.###.#.##..##....#.##.....###...#......#.#..#.#.##..####..##.#..##...###............#.#.##...###.#.#.###.##...######.##...##.....##.###.###.#.#.###...##.#.#...##..###.##########.#.########.#.#...##.#########.#..##.##...............##..##...#.####.##.#####.#..##.....##...##...........##.###..###.#.##...##.....######..#..##.###..........#.##..#..####.##.#.#####.###..#.####.###.#.#####.###...#....#.#.#..###.##..#.#.###..###..###.#.##.#........##.##....##.#.##.###.#.#......####.######.##......##...#.#..#.###.#.##..##.....#....#############...##.#..###.##.#.###......##.#..##.#.###.##.#.######.###....##.###.##.###.....#
#...#.#............#.###.####..#..##..#####.#.##...##.#.###...###.....#.##.#.#...##...#..####....#.#####.#.....#..######....######.#.......#.#####.#.###.##...##.##.##.#..###.#.#..#..###..###.#.#.##...#.##.##.#.####..#.#########.#.#.#...###.#####.#.#####.##.###.##.###.#.#.##...###..##..##..##.####...#####.##.#.#......###.........#....#.#....#....###..##.##..#.#.#...#.#.#.#.#.####.#####..##.##..#.#..#.........##.....#####.....#.#.##.#.#.##...########.###.######..#.#####.#####..#.############.##.############.#.#..##..###.....#.########.###..##.##.##.#.##.###.#####..#.##.##.##.##.....#....##.##..##...##......##...###...######.#.##.#..##.#.#..##.##.##..##.#......########..##.####..#.##..#......##.#....#...##.#..######..#.###...####.#######....#.###.##.##.#####..#####.#....##.#.####..##.######..#.#####.#.#.##......#.#..##.#.##......#....##.####
###...####.#.#.#.#.#..########.######.#.#......########.##..#...#.#.#...##.#.#.######.#.##..###.##..#.##.#####.#####.#.##.####.###.#####.#....#....#.##...###....##.##.#.##...#.##.#.##...##.......##.###.........##.##...#.#.#.#.#.#.#.###.#............##.#.#......##.#.....#..###..##.####.#..###.#.#..#.#.#...##.#.#.##.#.....#######...####.####.####.#.#.###.###...#.#.###.#...#.#.###...##.#.##...##...##.#######.#####.#.##..######...#.##.#.#..###.##.........#####....##..###...##.#.##...##.##.###..#....#.#.####...####.###.#.#.#######.##...#.#.##..#.##.##.#..####..#.#.##....#.##.##..###.###.####..##.#####....###############.##.##....##.#.##....#.###.##.##.###.#.######......##.......##....##.#.############.######.#.##.#.###.#.....#.#.#..#####.##.###......#..#.......##..#....####.....##..###.##.#.##....#.#..#.#..##.#####.#.#####..##.#####.##.##....#
#####....#########.#.##.##................###.###..#.#...######...#####.##.#.#...##...#..##.#.#..##.#.##.##..#.###.....##.#.#..#...##.#######.###########.#.##.####.#..#..###.#.#.....###..###.###.##..########.#.....###.#.#.#.....#....##.##.####.####.##.#.######.#####.##.#.##.#.##..#.#..##..#....####.#.###.##.########.#.#.#..####.###..###.##.##.........###.###.#....#..###.#.#.#.###.##...####.####....##..#.....##..#..##....#####.#.##.....##.#.######.#.#####.####..##..#..#....#.##.####......##.#.####...#..#.#..##...#..#.#.#.##.##..###......#.##.##.#....###.##.#.#.#..####.#..#..##.........###.##..##.####.....##.##.#......#..####....#..####.#.....##....##.....#.#.#.#.####..##.####..####..#...#.##.#.#.####.....#.##.#..##.#.##.##...#.##.#.#.######.#.#.##.##.#####..##.##.###..###.#####......#.#....####.##.....###....##....#.#..##.....##..###..####
#...#.#####.#.#......##..#.##########.##.##.....#.##...#..##..######.....#...#.######.##........##....##..##...#.#####..#.#.##.###....#.#...#.#.#..###....#.##.#.#..##.#.##.#.#.#####.#.##.#.###.#..##..#.#.######.#.##.#.....#####...#.##..##..##..#.........#.##....##.####......#..##.#.##..##...####.##...#.#.#..#........######........#.###.....#####.###.####.#.....####.##.#.....#.#...##.###.#..#..####.###.####.##..#########.#.#.#.#.###.##.#..#..##.####...#.#..##..####.####.##......##.######.#....#..###...#####..#.#...##...........###..#.####..#.##.#.####.#..........##.##.##...##..##.#.#.##...##.##....##.######..#.######...##....##...##..#...######.#.####.####.#.#.##########....##...###.#.###.#......##.#####.#.#....##....######.##.##...#.#....#.#.#######...#.####...#.#.##..#...#.#..#.#.##...####.##.######.#.#.##.####.##.##..##.######..###.##.#
###.#.#.##..#.######....#####.#...#.####..##.##...###.###..#.###.#.#.#.#.###.#.#.##.#..###.###.####.#....#####.#..#.###..........####.#.###.....#.##.####.#.##...#.##..#.##.#.#.##...........##..#.##..##.#.#.######.##.#####...####.######.##.#######.######.#.#####.##......#.##.#.##....##.####.##....#..#.#.######.#.##.#.#..#.#.######.#...##.##........#####.....##.##.##.##.#.#####.###..#..##.##.##................####.#.#..............####..#.##.###..##..###...####..##..#.#..#..###.##..##.......##...##.#.#..##.##.####.####.#####.#.###..##..#.##.#.#......##.#.#####.####......###.##.###.########..#.####.##....##...##.##.#...#######.##.#..##.#.###.#.#..###.#..#.........#...#.#.#.####..###.#...###...##.#..#..##...#...#######.##.#.#####.###.##.#.######....##...###..####.##.#..##...###...##.#.##.#...#...#.#.#.#..#.#..#.#.##.##..##........##.##....#.#
#...#.#.###.#.##..####.###..#.###....#...########..#######....#..#.#####.......#.##.##...####...#.#####.##.#...##....#..######.#..........##.##...#..#......###.##..#.##..#.#.#.###.##.#####.###....##.##.#.#.#.##...##..###..#.......##....####.###.###.........##.#.#######.####....####..#..##..#####.##.#....##.######..#.##.....#......#.############.###.#.#######...#.##.##.#...##......##.##..#..#################.#.##...###.##.#####.#..##..##..#.##..####.##..#.##.#.####...########...##..##.###.#####....###.###..#.##.#..##..#.#.#####.#.####...##...#.######..####.##.##.##.#.#.#....#...#...##.#.##....#.#..##.######.##.#..###.#.##....####.##.....#..#.##..##...##.#####.#...###...#....##.##....###.#.#######...#####.##.##.##..#......#.#.#..##..#.#.#.#.#######..#.#...##.#...#...####.###..#..###.#..#.###.###.#.#.##...#.####.##..##....###.####...##.###.#
###...#.#...#.#..##......##.#...####.######.#..###...#.#.####.##.#..#.#..#####...##.#..###..###.#..#.##.##...#..####...##......##.#####.#########.##.######......##.#..##.....#.#.#######.....#####.##..#.#.#....###.###.#.#########.######..##..#...##..#.#.##.##.....##..#####.##.#..####.#.####.#.#.#.#######.##.#.#..###########.##.###.#...#.#..#.....#.#.#.##..##..#...##.##...#######.#.....##.#.##.##....#..##........###.#####..########..##.##.##.###..#...#..##.#..#.#.####.#.####...###..######..#.#.##.#..##.#.##......##.###...#..#.##.###.##.###..#.......###.##.#....#..##.#######.##.###.#..#.#....####...###.##.#.#.##...##.#....#.#.##.#...#.##.##.##..##..##.###....####.#...###.#.####...#.######.#.###.#######.###....#..###...######.....####..........####...####.####.#.#...###........############.#.#..##.#...####....##..#..#####.######..##.##..#.#.#
#####.#.###.#.##..###.##.##.###.##......##..##.....#...#.#.........##.#####....#..#.#.#####.....#.##..#..######.##.#######.##.######.....##.#...#.#..##.#...#.####..#.#######.#.#..#.##.###.#...#.#..##.....#.#####...##.#.###.#..#...##..##..##.###.##########.##.###.##.##.....#####.#.#.....#.#...#.#..##.#.#.##.....##..###.##########....###.##.#.#.#.....#..##..##.###.##.##.#####.....####.###.#.##..####.##..#.#.##.#...#.#..###.#........##..##.##.#.##.###...#####.##.#.#.#.....#.###.#.##.##.#.####...#####.#....#######.#...#..#.#.##.....##......##.#########.#..#.####.#.##...#.####.#....######.#.##....###.#.#....#.#..#.#.##.#.#########.##.#####.##.##.###.##..##..##..###.#.###.#.#.#.#..###...##...#......#...#..#.####...##.#.###.#....#.###.##.##########....#.#.#...#.#.#####...####.#####.#.#.##.##....#.###.###..##..##..##.#.###.##.....###.##.#..##.#.#
#........##...###.##..#..##.#.#.####.######.#..##.####...####.####....#.#.###.###.....##.######.#..##...##..#.#.#..##.#..######.#..####.##..###.#.##.#....###.#.###.#...##.##...#.##.#..#######.....##..#.#.#...##..#....#.#.#.##.#.#..##.#..###..##.#..#.#.#....####......#####..#..#...##.####.#.###...##......######....##...#...##.#...##..##..#.########.##.###.##..#...##....#.#.#########..#.#.#.###.#.....##.##########.#.##..###########..##..#....#.#....##.##.##..##.#.#.###.###.......##.##....#...#..##...####.#.###.....#...####.#..######.###.##..##.#.#.#..##.#.#.#.....##.##..#.#.#.##..#.#.#.####.####...#.#.####...####.......#.##.#.#.#..#.##...#.##.#.#..##.##.####...#####.......#...##...#..##.##.######.###.##.#.##.#.##...###...#######...#...##.###...######...#......##.#.###.#..##......#..#.###.###.##..#...##..###.###...##...#.#####.#.##.#.###...#
#.#.###.####.##.#..#.###.#.......#.#..##....#.##########.#....#....##.#...######..##.##..#.##.....##..#..##.......###...####....##.#.##..#.###.........#.###....#.#.#.####..###...##...##..##.#####.#####.#.#.##########.#.#.#.#..#.##....##.#.##..#...##.#.###.###.###.##.#.####.##.###.##.##...#...###..######.#.#.#####.####.##.##..#######..##...##.#.....##.##...#####.######......##.###.##.....#...#.#####.#...#.#.###...#..##.............####.####.#.####.##....##.###.#...#.#...#####.#..#.#####.######....#......#.#.####.##.#.#.##...###.#.####.....##....#...###.#.#.###.####.##.##......##...#.#..#.#...####......#.#.###.#..###.###.##.#.#.##...####...##.#.#.##........#.#..#..####.##.#.####.####.##..#.....#....#..#.#....######.....#...#.#.###.#.####...#.###...##.#####.####..#...#.##..#.####.#.##..##.#.#..##.###..##...###...####.###...##....##.#.#...###
#####....#.#......#####..#.#.#.#...##..####.###.##.#.#.#.#.#####.#.#..###.#.##.##.#..##.##.####.########.########.#.###.#..####......###.#.#.####.##.#####.####.#.#.#.#.#..###..#####.##..##.........#.####.#..##.##.##..........##.###.#.......##.###.#........##.......#.#.#.#.....#.......###.#.####..###.........#.#...#.#.....###.####.##.##..#..#.#####..#.##.###.#.#..#.#...####.#......######.##.##.#.##....###.#.#.###...####.###.#.####.#.##.###..#.##.#....#####.#.#.##.##.#.###.#.####...#.###.#.##.####.#.##.#...#..##...###.#.##.####....###..#.#..##.###.###.......##...#.#.#.....###.#######.#.##...###..###.####....##.##..######.##...#.####.#..###.##.....###.##.######.##.##..####...........#####.#.#####.####.##.###.##..#.#.##.##.#...........##.###.....###.##.....###.###.#.###.###.#....###..##......#.##...##.##..#######..##...##.###..#.###.#...#####
###...##...######.##..##.#.#.#####.#..##.##..#..#....#.#.####....####..#.......#####.....#.#.#......##.#.#.###......#.#.#.###.######..............#####.#.....#...#.#.#.#.##.##.#.##...##..#########.#..##....##...#.#..##.##.##.##..######.##.###..##...#.####.########.###.#...###...#.#.#........##..##.###.#.#.#...###...##.##..............#####.#.#.#.##...##..##...##.#.##.##.#####.#.#..#......#.##.#..####..##.#...####.##..#.#.######.#.#.#..#.##....#.#.####.#.#........##.#.##.....#.#.###.#.#...#.......#.#..###...#######...........##.###.######.###..##..##.####.#####...#.#.#####.####.#.##...###.##.##.###.#.##.#####.#..##.#..#.####....##....##....#.#####.#..#......#..#.###..##..###.#######..........##...##..#.#.#..##.#.#.####..##.##.#.#.#....##..#####....#.#####...#.#........##...#.####.####.#####..##.##.....###...##.####.##....##.###.#...#.....#
#.#####..###.#.#...##.#..#######.#.##.##.###.##.#.##......#.#######.##.#######...#.####.##...###.##.#........##.#.#.#.#.#.##.........##.#.#.###.#.#.#.....#.#...#.........##.#....####.###.#..##.#.#...##..##..###.....##..#..#...####.#..###..#.##.#..#####.....#.###.#..#..##.#####.##########.##..##.##.##..#######.#...#########.####.#####.##..#........###.##.#####.##.#.##......#.######.####.#...#....##....##..###.#.#..###.###.##.#...#.#.##.#.#####...#..#.....#.######.##.#.######.....###...###.#.##.#############.##.##.#####.#.#.#.##.##...##.#....##..##..###.#....###.###.#.#.##...##.....##.##.#.##.##.#...#.##.#.##..##.#..#.##.#..###.####.#..##.#.#.........############..##.####..#####....#####.#######.###..##...##....#.....########..#.#.#######.##...#.####.....##.##.####.######.######....#.#.....#.##...#####.#.###.#..#.##.##.####...##.#.#######.#
#..#####.##..#.###.#..##..##...............#.##.###..#.##...........##.#...#####...#..#..###.##..########.##..#####........#########..#####.##..#.#...###.###.#.#.#.#.###......####..#..##.##.#..#.##.##..###.##.#.#.####.###.###..##..##..###....#.##.##.#..###.........##.######.#####..#.######..##...#..#.###.####.###..#.#......#....##.##.###.####.###..........#.#.##.#.#..##.###..#.#.#.########.##.#######..##.#...#.##..##..#.......#......#.#..###..#...##.#######.#.##.##.#.#.#..#####.#.##.####.########..............##.#.###.########.#..####.##.####.###.###..##.###.#..##.#.#..#.###..######.##.#.##.##.#.#...##...###.#....##..#.#.##.#.##.####.##.#...#######...###.#.###..##...##..##.##..####...#..###..#.##..#####..#.####.##.##....####.#.#.##.#.#...#.###......#####...#.##.#.##..#...#.#.##.###...##.##.####.##.......##.##.#.....#.#.#..####.#.......###
##....##.###...#.#...####..#.#.#.##.##.###........#.######.###.####.#..###.....###.##.##..##.###..##.#.#####.###..####.###..##..###..##.....#########.##..##..#.#.#.#.########..####.#.##..##.##.........##.####.######.#######.#.####..##.#.###.##.#####.####...#.#.#.#.....##......#.##.#....####.#..#.#.#####...#.#.#.##.#.##.#.#####.##.......#.##.#.####.#.#####.#.#.#......######..##.........#.##.#..#.##.#..##....#.#.##.####...#.##.#######.#.#.##.######.......#.#.......##...#.##.#.#........##...##..#..#######.#.###.##.........#.#.#.#.#.##.#..#..##.#.#.#...##.....##.#.###.....##.#.##.#.##...##...##.#..#.##.#####..##...####..##.#.##.#.##.##.#..#.##.###...##.###.#.#.#.##..#.#..#.###..##.#.####.#.##.##....##.#...##...#....##.#..####.##.#####..#.#.#.....#.###.###..##.##.......##...###...#..#.##.#####...##...####.#####.##.#.#####.#.#.##..#.#.#####...#
###.#......###.#.###.#.##.########..###########.#####.##.#.######.....######.#####.....#.###.#...###.#...##....#.#######...##..##.##.########.##.#.....##.#..##.#.#####.#######.#.##.#.###....##########.....#.#.##.#....#.#.#.....##..##....##.....#.#.#.#.#..#####.####.########.#....#.###.##......####..##.###.....#.#..#.#######..#####.#.##....#.###.####.#.....#.#.#.###.##..#.#.####.##.###.#..#.##.#.#..##.#####.#.......#.##.#######.......#.#.##.###....##.#.##.####.##.###.##.#..#.###.#########..##.##.#.##.######.#.##########...#.#.#......##.##.##.#.....#..##.##......##..######...##.#..###..###.##.#.##.#....#.##..###..####..#.#..#.#.##.#....####....#.######.....#.#.#..#####....#..##.....##..#.##....####....######...##..###.##..#.#####.#..##.#.#######..#####..###.#######.###.####..#.#.##..#..#.###.###.####....##...##....#.##.#.#..#.##.#.#########
#...####.#...........#.#..#.#.#.###.#.##.##.#.#.#.##.....###.##.#####.##..#..#.#.##.##...##....###...###....##.#..#..#####..##.##.....##.##......#####.##.##..#.#..#.##............#....###.#...#.###..##.####...#....##.....###.#####.###.#..##.##.#.#.#.....##..######...#.##.#######....#...##.###.#.#..##....#####.#.##.#..##.#.##.##....#.#####...###..#######.#...#....#####.##.#...#######...##...##...#.##...##.######.####.#######....#####.....##.#.###.########.#.#####..##....##.#.##...#....##..##...#.#.#..#.#.#.....##.....#..#...#.###.##.....#.#....#.###############.#..##.##.#.###..##.....###...#.#..####.###....##...##..##...#.##.#.##.####..##..####......##.####.#.##..##.###.##.###.###..##.#....####..####.##.###.#########..##.#.#.##..##.#.......#.##.##.#.##..#...##.......#.##.#.####..##...##...#.##..##.####..###..###.##.##.#.#.##.#.........#.##
#####.#..##.##.#####.#.##...#.#.#.###.#............####.###..#.........##.##...#.#######.#####.#.##.##.#######.##.#.##.#.#.###.########...######.#.###.######.####.#....###.#.####.##.###.#####.......##...#####.###.#######..#...#.##..#####..#..#.#.....###.###...##.###...##..##.....##...#######....#.######.##.........#.###...#...####.#.#.#####.#.##...##.######.#.#.##.#.#.##.#.###.#..####..###.####......####..#.......##.#.#.#.###.##...###.####.#.##....##.##..#.#.#...######.#..#.##.###.##..##..###.#.#.##...#.####.#######...######..#####.##.##.#.####.##.#.#.##.......#.###.#.....###....#.###.###.#.##..##....####.####.##.####.##.##.#.##.#.###....###.#.#######.#.......##..#.#...##.#.#...##.##...##......##..#.##.#.#...#.#.#.#.##....#..##.##...#.#####.#.....#..#.##.########.###.##.#.#.##.#####....###.###.##.#.#..##.#.##.#.......#.#......##.######..#
#.##....########.###...#..#.......##..#####.##.#.#...#..#.##.##.#.#.##.....###.#.#.#...........#.#...#.#.#.#...#....##.#...#.#...#..##..#...#......#.#.#..#.####.########...#.#........##..#.######.#..##.##.#.#...###.#...##.###......##.#.##.#.########...#.#...#....#.##.##..############.#.#.#.#.##.#.#.###...#######.#.....###...###..#####.........#..####.#.##.#.#.####...#.##.#..##.#.##..##.##...#.######..#.##.#####.####.#.#.#..####..#.....###..#.###.####..##.#.#.###..#.#.#.##.#.#...##.######.##.......####.#..#.#...##....###..##..##.#.####.##......###..#.#..#######.#.......#####.#.####.###..#....##.######..##...##..##..#.#.##.#....##...#.####............#....##.##..##...##.##......########.###.#.######.#.#......#.#........###.##.##...###.#..#.##.#.#####.##.#.....##....##..##.#.#.##...##..##...#.#.#..#.#.##.##.#.##...###.###.#.###########....##
#.#..#####.##.#....###.##.#.#.#.#..#.##...##########.##...#..############.##.#.#...######.###.##.#.#.......###.#.##..#.###...###.#.##..####.######...###.##.......##.#....######.####.####.#..###.###.###.##.....####..###..#..#######.##.#..#.#..##.#..#####.#.#.#.##.......#.##.#............#.#...##.#.#.#.##.##....####.#####.###.#.##.##.##########.##..##............#.#.###.##...##....###.##..###.#.#.##.##.#.##.#.#.#..##..#.#.##.#.#..###.##...##.#.#.#.#.#..###.#.#.#.#.##...#.#..#.#.###.....##...######.##.##.##.#.#.#######..##.##..##....##......#########...#.##...###.#.#####..#.#......####.##.####.##..#.#.##.####..##.##.##...##.###.####.##.##.#.############.#############.##..##.####.....#.##.#.#####..##..#...#.#.#####.#######.#..#..###.##..####.........##.#....#########..#.###........########.###.#.#.##...##.#..#..##.######.#.#.##.###.#..##.####
#.######.#....####........#.#.####......#####.#.#.##.####.##.#.##.....#.#......##.##..#.###.#.##.#.#.#.###.....#####...#.#.#####...##.##...........###....####.##.##.#######.#...##....#.#.#.##.#.#.....#..#####.##...##.##.##.#.##.........##...##..#.##...###############.##.##.###.##.#.#.#.....###............####.#.#..#.##..#......#.#...###...#...###....##.#####.###.#.##...#.#######..##..#.##...........#.#..#.#.....####...#.##...##.#...####.##.#.#...#...###..#.....#..###.#.##.#.#..##.#####..#....#....#...........#.##..#.###..##..####.#######..#..##.####....#.#.#...#.....##.....#.##..##..##.#....#..##.#.##.#..##.#...#..##.###.##..##....#.#..#....###..##.#.##.#....##..#..##..#....#.#####.#....##..##..##.#.###.#...##...#...##.##.#.##...#..###.#.##########.#.#.####.##.###.#.#.#.##.#.###..##.....#..#.#..##.##..##.#.##......##...#..........##..##.#
#.#......##.#......#############.##.###.#.#.......................###.....#.##.....##.#..#..#.##.###########.#..#.####......##.###..####.#.#.#.###.#####.##.##.#.....#.......#######.#...#...##.#.#####...##.#.#..###....##.........#.#####....#####.#.####..#.#.#.#.####......##.#...#..#.####.##.####.#.#.##.##.##.#.#.#.##.###...#.##...#.###.###...#..###########.#...##...##.###...##.#..####.#.############.#.#.##.####.###.###....###.#..#.#.#....##...###...###.##.####.##.##.#.#.##.....##......#######.####.##.#.######.#.###.#...##..##..##...##.#.#.##.##...##..######.###...#.#..#.#.#.#..######.#..####.#.###...#..##..#.##.##.##...#...##..####.#.##...####.#.##..#.##...######.#.##..##.##.#....##.##.###..##..##......#.#####..#...####.##.#..##.##.##.#..........##..#.####.#.##...#.....#..#.#.#.#.##..##.##.##.#.##..###....#.##.########.##.###########.###.#
#.###.##....############..##.##...####..#.####.########.#.##.######...#.#.#.#####.##..##.##.#.#...#..###..#####.#..#######.###..###..#.#########.#...##..##..#######.#######.#.###...###.###....#.#.....#..#.#.#.##.####..#.####.####.#...###.####.......###.........#..###.##.##.###.#######....###.#..#.######..#........##..######.##.#....##..######.##....#..#.#.###.#..####.###.###..##.##.#.#..##..............#..###..#.#.##..#.####...#########.###.######.###..#.#.#...#.#....#.#..#####..######.##.........#######.......#.#...###..##..###.###..#.#..#.#..#####..#.##..#.#.##########.#.#####..##...##.##.#.#.###.#.####....#.##.##.###.####.##.#.....###...##.#....##.##.###.#.#....##.###.#########...#.#.#.##..####.#.###.##.#..###.####.......##..##..#.#.###.########.#.##.#.#..###...#####.######....####.....##.#..#.##.####.#.##.......##....#..#.#.##...#.#.#
#...############.......#.##...##.##..##.#.##.###.######.###..##..########.###.###..##....##...#.###.##.#.##.##..#.##.#.......##.#.##....#.#.#.#....###..####.##......##.#......#.###.##..#.####.#.#.#.#.##.......##....#.######..########........##.###.##...##.####.##.##...####.#.#####.#.##.#####.##.#.###.###.########..##.#.##....######.##.##.###...####.##.#.#.##..#.###...#...##..##...#.....######.#####.#.#...##.##...#..####..#.#.###.#.##......#.##..#....#.##...###.#.####...##.##.##.###..##.###.#.##.#.#..##.###.###.#.###.#.#.####.##..##..##...##...##.##..##.##.##...##.#.#####.#####...#####.#..#......##..#.#.#####.#........##.##....#.##.#####..####.#.#####......#.#.##.###....#...#.##.##.###......##.##.###.#####..#.##.####.####.####..####.......#...###.#.........##...##.####.#...#.##.######..#.#.##.#.##.#..###..#.#..##.####..####.##.#..##.##.#.#
###.##.#..###..##.####...###.##..###.##...##..#...........##..##...###.#..###.....######.####.#..##.#....##..##...##.#####.#.#..#..####.#.#.#...##.##..##.#..###.#.#....######...##..###......#.#.#########.###.####.#...#.#..##.#..###.#####.#####..#############...#...###..##..#..##.....#####..#..#####...#.#.##.##....##.....##.###..#......#......#..##..........##.#...#.#...#####..###.####.##..#...###.#######.##.##.###.######.#.#####....####.#....##.#.##....##.####.#.#.###.##..##.##.#.#.##...##.###..#...##...####.............##....##.##.##..###..###..###..#.##.####........#.#####...###.##..##.###.######.#.#.#..#..#.#.#.####..###.#...##...##..##.#....###.#.######.#.#....#.####.###.#.........##.####.#..##....##..##....###...#.#..####..#.#.########.##...##.###########..#.#..#...###..#.####...######.........##.##...#.#####..#.###.#....#.##.......#
#......##.#.##..###..###..#..##.##...#..#..##.#####.###.#######..###.#...##.#####..#.#...#.##...##..#.##..##..###.##.##.##.####...##......#.##.##...#.##..##..####.###.##.#.####....##...#.##.#....##..##.###.#..#.#####.#.##..####.#...#......##.##..##.##....#.###.##.###..####.#.#######.#.#.##...########.#.#.....####.###.#######.##.######.##.######.###########..#.#.#####.###...##.##..##.#..##.#.###............#.#..###..#.......##..###.###.###.##.##...#######...#.#.#.#.....###.##..#.#.#.####.##.########..###.#.#####.###.##########..#.##..##.###.##.##...##...##..##..#.###.##..##.#.####..#..##..##.....#.#.#...##.#.##.#####..##.#.#####.##.###..##....####.#....####....#.####............#.##.#.###....#.#.##..####..###.####.##.##.##....##.#.#.#.#.##.###..###..#.#.##.##.##...#.##.######.#....###....####.#.#.####..##.#....#.###.........####..##.######
##.###.#....##.###..#####.##.#...###.##.##..#.##.#..#...###.####.....######.#...##...#.#...####.##.#####.##..##.#.##....#...#.###.##.##.#....#.#..#....##..##...####....#.#......###########....##..##.#..##....##..#....#.###.##.#.###.##.#.#.....##..#.#####..............##.#.....##.......#..###.##.#.#.......###.##....##.###..##.....##.##.##.#.......###.#.#.###...#.#.##....##.##...##.#....###.#######.##.#####...##.#.##.#######.###.#........#####.####...##.####.#.#.#.###.#......##.#.#.#..#.#.####.###....##.#.#.#.###.##..##.#.##.###.#.##.##..#......###.##..#####.##.######..##..#.#.##.##.#.####..##.####...#.###..#.##..#.#..##..#.##.##..#.#.##.##.#.##......####..####...####.#########.##.##.####..##.#.#.##.####..##.#.#.##.##.#..##.#####..............##.#.##.....##.....#.#...##.###..#.#.####.#.####..###.####.#.##..#.####.#.#.##.##.#...##.##..#....#
####.#.####.##.#.##.##.#.......#..#..######........###.##.....######...##.#.###.####...#.#.......#.#.#......##....#####.#.###......#########.#########..#.###.###.#####.#.##.###.###.##...#########....##.#####..##.#.##.#.#.#..#.#..#...###.#.###.##.##..##.########.#####..#.####.#########.##.##..##.#.#.#######....####.#....##.#####.##...#..#.#######..........####.#.#.#..#.##...##.###.##.#.#.#..##..#####.#.....#....#.#..##..........########.#.#........####..##..#.#.#.##..#####.###.#...#.##....##....####............#####..#....#.#.#.#.##..##.#.##.#..##.###..##.......###.####..##.#..#.#..#...###.##....###.#.#.##......##.#.####.#.#...#.##.#.##.#..#..##.##.##.##.##....###............####..#..##..#####.#..#.##.##......#..#.##.##......##..###.########.#....##.###....#########.##.....##...##.#.#...##.###.....#.#.#..######..#....#..###.#.....##.#.####
#............#.#.#.......###.#.##...##.#.###.##.#.##.########.#.######.#........#....#.########.##.#.###.########.#.##......##.###.##.##......##.#.###.##.##...##....#..#.##.#...#....###...........####...##.##.#..#.#....#.##...##.###.#########.#...##.##.#........#.....##.#......###.....#..#..##....###.########.#.#..#.####..#.#.#.####.#.######.##..###.####.#.##.#.....##.###.##......####.#.##..##..##.#####.#.####.#.#.###########.##.##.#.#.#.##.####.##..#.####...#....##.###...#.#.#.###..###.####.##############.##..##.##...####.#.#.#..#.##.....#######.#.#.####.#.##.......###.#..#.##.##.#.###.#.##.####.......###.#.#..#.#..##..#.##.##.##...##.#.###.#..#####..#..####..#..#####.#.##....#.###..########.##.#.##..##.#####.##....##.########...#.#.##.#.#####.##..######.....##.##....#######.##......###...#..#####.#...##.#..##.#.#####..##.#.#.###.......#
#######.####.#.#.#.#.##.##...###..#....#.#.#.#######..#..................#.####...#.########....##....##.##.##.......###.#########..#.#..####...........#.##.#######.##....#.##.#####...###########.#.#..###.....#.#######.#.####........#.##....#.##.###.##.######.#######..#.###.#.##.#####.##.##.###.#.##......#......##.#....##...............###......######.........#.########.#.####.##..##..#.##.####.##...########.....#.##..........##.#........####.##..##.#.#..#.#...#.##..#...#........###..##..##...##............###.......###..#.#.#...##..##.##..#.##...#...#.#..##########.#...#.##..#.#....#.#...##..#.####.####...####.#.#.####.#.##.#..##.####.#.#.####.......##.##.#..##.########.#..######.####.####...##.#.##.###.##.#..##.####..##..#.#..#####.......#.#...##.....###.#####.#..#####.#.##..###.##...###.#.##.##..###.#..#.##........#.############.###.##
##.##.####.#...#.##########.#######.##.#.#.###.#.#.##.#########.##.#.#.#.###.#..#.#.#....#.####.#####.#......#######.....##.#.#..#.##.#######.##.#.####.........##...#..#.#######.#####.#.#..##.....#.##...#####....##.###.#....########.#..####.......#..##..##..####.#.###.#.##..###...#.#.........####.#######.#####.##....######.#.#.#######.##.#########.######.##.#........###.#.#.######..##...##.####.###.##.##.....#.#....##########......#.#.##.#.#...##..#...##...#############.##.#.##.##.#.##..##..#.#..#.####.#.#.#.##.####.#.##...#.#.###..##...####.#..#.#.###.##..#..##..######.#..##.#.###.##.##.####...##.....#######.#.#.#.##.#...#....##...#.#.#....##..###.####.#..#.##..#.....####.###..#..##.#..##..###..#.##..#.......###.##.##....##.#.##..##.###.###.#.####.#####.###.#.#.#.####.....##.##.###..###...#.....##.##..#.##..##.############..###.#....####
#......#...###.#.##.#.##.#####.###..#.......#..#.#.##.......######.#####..##...######.##........#.##..######.#..##...###.#....##...##.###.....####.#########.####..#...####.........##..#.##..#####....#.###...####.##.#.#.###.##....##....##.#..#####...####..##..##......#....##..####...#########..##....##...........###.##.########.#.....#.##.#.#.#.#...#...#########.######...#....##.###.#..#..#..##..#.#.##.###.######.##..##.###....###.##.###..#.###.###...######.##.#.#...##.########..##....##..#.#########....#.#.#....#......####.......##..###..##..##.###..##.##.##.##..##.##...#.###...#.#..#.#....####..#.###.#.#.....#........###.####.##.###.#.#.######.#.#####....##..##.#.###..######..##.##....####...##...##.##.##.#.##...##....####.....#.##....#.#.#.#..#.#.#.#....##.....#..#.#.######.##..###.###.#...#####..#..##.##.##.......#.#.##..##.....#####.#
##.#.#.###.....#.##...#...##.#.#.#####.###.##.##.#..#######....#.#####...####.###.....####.#.##...###.##..#..##.######.#.#.#######.#..#.##.#.##....#..........#.######..#######.###.###...###.#.....##...#.##.##.....#.#....##.#####.###.#..#.####.....###..#.####..######.###.####..##..#......#....######.###########.##...##..####.##.#####....#.#.#...###.###.#.#..#......##.###.#.#.###.#.#.#####.#.####.#...#..#.###..#######..#.#.####.#...#######.#.#....##.###.#.#..##.#.#.###..###.#.#..####.#####.#...##.#.##.#################.##....##.#####.##.#.####..#.##..###.#......##.##..###...#.#.###.#.##.#.####.#..##...#.#.#####.#.##.#####.#.##.#.#...##.......##......#..####....##......####.##.##.....#.#.##.###.#####..#..#.#########.#..####..##.##...#..######.#.#.##.#.....#########.#.##......#.#.###.#.#.#.#####..##.##.#.###....##.#######....##..#####..###..#
######.#.#####...####.##.###.#.....##..#...#..#..#.###..#.####....##.#######....#.#.#.#....######.#.#.###.#.###..##.#......#.##......##..#.#####.#.#.#.######.#.#.##.#.##.##..####...####...#...##.##..#.........###...##.###..#.#.#...####....###.#.#..###....####..#.#.#.#.#.#..##.##########...##.##........##.#...#..###.###..##..####..#####.#.#.###.#.#.#...#.##.####.###..##....###.#.....##....#...##.###.##...##..##.##..##.#.#.#.#####.##.....#.#.####....###.....##......##..##.....##.##.#.#.#...#.#.#.....####..##.............##.#.#...###...#.#.#..##.#..##.##..##.###.....##...##.##...##....##.#.#.##.##..#.#####..##.#.####.##......#......#.##.###.######.####.##..####.#..####..###....##.##.##.####.#.....####.#.##...#.#.#.#...###.#.###.####...###.##..#.#.#....#.###.##.##......###.####....##........#.##.##.....#.#.#.####...#.#.##.######.#.##..##.#.##
#.#.#.....#.####..#..........###.#..######.##.#.##.#.##...##.###.###.#.##.#..################.......#.#.#.....##....######.#..##.##.####.#####...#.#####........#.#....##..##..#.##.##.####...#.#...####.#.#.#.#.#...#......##.....##.###.###.##.######.#.##.#..####.............###..###.......#.#..#######.#....###.#.##.......##..##.#..##.##....#.#.#.#.#.###.#.#..##.#.##..######..#..##.##..####.#.###...#...###.###.##....##........#.##########.....#.####.##.##.##..####.###..######.##..##...#.###.#.####.#####.##.############.#..######.##.###.#.#...##..#.##...##.#..######.####.##...##.##..####.........###.#.#.##..##..#..#.#..######.##.##.####..######.#.#..###..#.##.#..#.########...####...####..#.#.##.####.........#.#.#...###.#.#.....#..##..###....##.....#.#.##..##.##.#####.###......####..#####.##.#.#...#####.#.#.#.#..##.##........##...#..#.###.#..#
#.#.#####.....###.##.##.##.###.####...##.#..#......#.####......#.#..........##...#.#.#.##.....#.#.#.....###.#######.#.#.#....#####....##..##.##.####..#########.#.##.###..####.........#.#..###.##.##....#.#.#.##########.#.######....#....##.#..##.##....#####..#.######.#.#.#.##...##.#######.#.##.#.....######...#.#.########....##..##.......##...#.#.#.#.#.....##....#.##.##.##.##...#######.##.....#.###.##.###..#.#.#####..#.######....#.#.##.######...#.##.##.######.##.#...##..##.##....#####...##.....##....##.....#.#.....#.#####..#.##...#.#.....#.#####.#..##.##..#.##.##.###.#...##.##...##..#.#####.#####.#.#....##..##.##.#.#.##.##....###..#.##.##..#.#...#.##.#.##..#.##........#.#.###.##.####...##.#.#..#.###.#.######.#.#.#.#...#...##.##.#######..####..#####.#######..#...##.#..##.######....##.##..####...###.....#.#.....###....###########.#.##.##....##
#....######.###.#.#######....#.##.###.##.##.#.######..#.######.#.####.#.#.#..###...#.#....#.#.#########.#.#...##....#...##.#....#..#####.##..########.......##.........##..###########.....#############.###.####.#.##.####.#..#.####...##..#.#.###....####.##..##.#..#########.##.###...##...#####..###.####.#...#......##.#.####.##..###.#.##.#####.......#.#####.#####.#.#...#.##.##.###..##.#.#####.##.##.....#.##.#.#.#.#.#.#####.#.####.#.#......#....#....#....#.##.#.##.#.####.##...####.####..#####.#####.#########.#.#####.....####.#..###.#.#####.#..##.#...###..##.#.##.....##...#.##.#..####.##.##.#....##......#####.##..##.#...#...##.#..#..##.##..##.#.#.###..#....##.#.#..#.###.##.#..#...#....#.#..#...##....####....#####.#.#####...######...#..#.##.##.##.#.#....##.#.##.###..#...###.#.##.##.###...#.##.####.#######...###.###.#.##..##.#.#.###.#.#...#.#####
##.#.........#..#..##.######...#...#..#..##.#.#..####.......#.....#...#.#.########...####.#.#.##........#.#.#######.##.########.#.##...#..##.#.#.#..#######....#.###.#####..#..##.##.#.##.##...##.##..##.##..#...........##.##....####.####.......####...##..##....##.#..#.#.#..#..#.###.#..######..##...###....#.####.####.....#..###.#.########.########.##..#.....###....##.##.##.##...##.##....###......#####...#..............##.....###...######.#######.#.#.####....#.##....#.#.#..#.###...##..##.##..#......###.#......#.#.#.#.#..#.#.#.##......##...#.##..##.###..##.......#.######.###..##.##.#.##.##.##.#######.###.##..##.##..###.#.#..####.##.##..##..#.#.#..###...#.##......##.######.#.##.###.####.##.#.####.####.#..####.##.....##.##.##.#.#..#...##..#.##........##..#.#.##.##..##.####............###.#.##..##.....##.#.#####.#.#.#.######...#.#...#.#.###.....#
#..##.######.##.#.##..#.#..###.###.##.##..#.#...##..##.####...#.#...#.#####..#.#.###......#.#.#..#.####.....###.#......#.##.#.#.#..###.#.##..#.#.#.##.##....##.#.#...#.#.##...##..##.#########.#...##.######.#.#####.#.#.......##........########..#...#####.####.###.##.#.#.##.##.....#.##..##.#..#####.#.####.#.#..#....###.#.##..##.#..#.#.###.#.####....##.#####.#.##.#.......##..#.###..####.##...###.##.#####.##.#.##.#.#.##.#####.##...###..##......#.###.#..#.####.#.#####...#.#.####.###.###.#...##.#.######.#.######.......####.....#..#.####..###.#..##.##.#.#.####.#.######.##.#..###.....#.#.#..##.#...##.##...##.#..##...##.....#.##..##...#..#.###.##.#.#.##...#########.######..#.#.......##.#.####....#..#.##.#.##....#..##.####..##........#######.##.##.############.#.#...##.#...#.##.####.#######....##.####.#####.#.###...#........#.#.###...###.#.###.#####
#.#####.##...#.....##.#.##.##...#.....###.#.#.###..######...#########...####.....#...#.##.###.##.##########.....####.#.#.#....#.#.##......##...#.......#############......##.##..##...#.##.##....#.#...###...#####...#.###.#.#..#####.####.##..###.###.#.#.#.#.##.#.#.#....#.#...##.####..#.##..##..#.##.#.#.#######.####..####.#..##..##................##....#.#.#...######.#######.....##.........#.##...#.#.##...#.##########..#.##...###.####.#######.........##..##.....##.##.##...#.#...##..##...####.#.#...##....##....##.#.##..##.##.#.#####.##.#.#.#.##..##.#....#.###.#.#.#...#.##.#.####.##...##.#..##.###.####.##...###.########...########.#.##.#...........#.###..#.##.#...#.##.##...########....##..#.##.##.##.#.##.####.##...##..####.#####.#..##.#.....#.########...#.#.#.####.#.#........######...###.###..#.#..#.#..#.#.#.#.#.#####.##.#.#.##.###..........#.#
#.##.#.....#...###.........####.#####.#.#.#...##..##..#.#######..########.######...#####..##..##.#..........#.#......#...####......###.#######.#######.#.####.#.#.###.#####...##.####.#.##..######.#.###.#####.....#.###...###.##.....##....##.#...#.#.#.#.#.#.#..#.#.#.##.#.##.##..##.##.#.###.###....#.#.....##.........##.#..##.##.##################.##.##.......#...##....###..#.#########.##.###.#..#.#....##.######.#.#.###....###.......##.#.......##.##.#..##.####.#....#...#.###.##.##..###.###..#.#.#.#######..#############....#..#..##.#.#.........##.##.#.####..#......#.###.##.#..#.#..###.#....###.#.#.#.#...#.###.#.#.##.#.##.##.##.#.....##...#.#.#.#####...##...##.##.##.##..##.##..###.#.######.####.##.##......###..####.#..##....#######.##....#.#..........#.###.....##.#...#.###.####.##...####......##...##.##.#.#.#.###.....####...#.##...##.##.######.#
###....###.#.#.#...#.#.###.#.#...#........###.###..##.#.##.##.##....###.......####...###.###########.#.###.####.########...####.####.#.#.##.........................#..##.#.###..#.#....##.##...#..#.###..#######.##.#...#.##..############....###.......#.#.#.#.##...###....##..#.###..#.#..#..#.#.##.....###..###.#.#.#..#...##..##..#.#.##..#.#..##....#.#..#.##.##.#######...##.#.##.#.##.########.#.##.###.##....##.........####.#...##.##....####.#.##..#..##.....#.#.#.##...#...##..##..##.#.....##.#.#.....#.#...##.#.#.##....##.#.##...###.#.#.##########..#.#..#.##.##.#####..##.##...##...###..###.##...#.....###.#...#.#.#..#.#.#......#.#####.##.#######.#.#.#.###..###......#....###....##.....##.##...#.#..#..###.####.#.##..#.#.######......##....#.######.########..####.#..#.#.###########..####..##..###.#####....##.#.#.#..##.#####..###.#.##.###...#........#
###.##.###.#.####.######.....###.######.#..##.#.#.###.#.##.....###.##.####.##..##..###.###.#.####.##########.#####.......#.......##..#....#.#.###.#.##.##.#########.##.##.#.#.##...##.#..#..###.##...#.#.##..#.##.######.#..#.##.......##.###.##.#######.#...#.#..###..#####..##.#.#.##.#.##.##.#.######.###.##.#.########.#.#..##.###.....###...##..#########.#.#..#...#.#....###.....#...##..#.###.#.###.......##.###########.##....###..#####.#..###########.####.##...#.#####.##.#####..#.##..####.##..#.#.#####.###.##.#....####.#########..............##.#..##.##.#.#..##..#.#..###.#..######.#.##..##..##.##.#####...##.##.#.##...#.#.#.#.##.......##.##.#..###.#.....##.#.#####.##.####...#####.###..#.##.###.##...##.#...##...###.......###..######..######.#..###...###..##..####...#.##.#...#..##..####..##.######..#.##.#..#...#.##..##.###..##.#.##.##..###.########
#.######...####...##..#..###.###.##..##.##........#.#.#.###.#.##.#..#....####.#######..##.....##....#.#..........#####.####.####.###...##############..#..#..........#.#....#..###.##.##...##.#.##.#.#.#..##...####.##...#.##.###.####.#....#.#..##.####.###.#.#.##...##...##.#.......#.#.##.#..#..#.######........#.#.#.#.###.##..#.###.#...###..##.#.####....#.######.#.####.....#####.#####...#.#.##########.###...##.##...#.#####.....###.####.##.##...#######.###..######.####......##......###....##.#.#..##.#.##.......##.#........##....#.#.##.##.#####...###.##...#.##..##...###..#.##.#.#..#..##.#..###....##.#..#..#.##.#.####...#.############.##..#.#.###....#####....##.....#.#..##.##.#.#...####.##..##..#.####.##.#####...##.#.####.##.##.##..##...##.#.###..#.#.#.####..#.###.#......###.##..##.###.##....#.##.#..####.##.##....###...##.#.......###...###.##.###
#.##.#########..#..##.##.#........##.############.#.#.#..####.##.##.#.#####.#..#.##.##.######..####...##.#######.##.###########...####..#.##.#..##..#.########.#####.#.####.#.####..######..#.#.####.#...####.##.#...#######..#...#......##.....###.#....#.#.#.#.####.##.#..#...###.#.....##.##.##.#.#.##.########.#...#.#.##...##.#..####.###.#.##..#....####.####............#####..##.##..#.###.#..##..#.#.#.#.#.####..#.#....##.#.######..#.#......###.#........###..#.##..#.###.########.####.#.##......#.###.#..###.###..#####.##.#..####.######.#####..##.##.#.###.##.###....###.##.#..#...##...##..#.##.#.####..##.##....#.#..#.###.....##..###.#...##.......####....##.####..###.#.#.###....#...####.#.###..##...##...#...##...###..#.##.#.##.....##..#.###..#.#.#.####.#..#.#.##.......#.#.####..##.#...##....##.#.##...###.......#.####.#.###..#.#.#.###...#..#.......#
#.#.....###....##.##...####.#.#.#..#.#.#.#...####.#.#.##..##..##.##....##.....##.....#..##.##.##.####.####...#.#.#...##..#.#..##.##.#..##.##.##.#..####.######.###.#.#.###..#.##.##.##.####.....#.#..#.###.##.##.###.....############.#.##..#.#.......##.....#.#..##...####.##.###..#.##.##...#.##.#.#.#..#..#...#.###......##.##..##..##.........##.##.###..#####..########.#..##.##.....##.#..##.#.####.#..........#.#.#######.##.####.#.#.##.###.#.##...######.#.....##.##.##..#....#.##.....##.#######.###.##....##.######..#.#######.##..#####......##..##..##.#.#.#.#......#.####..#...##.###..#.###.#.##.#.##.#.#########.#...##.##..#####..##.....#....#.#####.##.#.##.....######.#.#.....####.###..#.#.#.#.####.#####...#..##.###..####....#..######.##...##...#.#.#.##.#.##....######.#######.#.##..##.######.####.####.#.###.###.#......#...##.#.#####...####...#####.#
#.####.##.##########.#..#...###.##.....#.##.##......#.###.##.##..####.#######.######.#.###.##.#...#.#.#..###.......#####.#.##.##.##.##.....#.#....##.#....#..#.#...#...#.#.##.##.##..#.#.#####.##.##.#.#.#.##.##..#####.##..###.......#.########.#.#.######.##.##..##.###.#.####...##.##..###.#.##.#...##.##.###.#.#.####.####.###..##.#########.##.....#.##.##..#####...###.##.##....######.#.###.#..##....######.#.#...#.#.###.##..#.#.#.#.##.#.#.####.#.#..#...#####.##.#..###.##.###..##.####..##.......##..###.##..##..###.#.#.#.###....####.#####.####.###..#.#.#.....######..#.##...###...###.###......#........##.#.##.#.###....##.###....#####.#####.#######...#.#####.####.#........#######....##.#.....#.##.#..##.##.######...##....###.##.###...#....#.#..###.#.#.##.#.##.#####..##.#.#.#.#.#.###.#..##.#....##...##....#.#####...##.#.#.###......####.##..#.#.....###
#..#....#.##..#.##...##...#.###.###.##.#.##.#######.#.#.#....###...##..##.#....##..#.#.#.#....###.....#.##.#######..#.#..#.............#####.####.##.####.#.######.###.#.#.##..#....##.#.#.#...#.....#.#.#.##.###.#.#....##...###.#####.#..#.#.#####.#.###.....###.##.#.#.#..##..########.#.#......###.##....#.#.#.#.#.....##..#.##.##...##.#.#...#.#.#...##..##..##.###.#.###...#.####.#.#......#.#.#########.....####.##.......###.................#.###.##.##.##......#.#.##.......##.##..##.##.#######.##..##.#.###..##.#.............##.#......#....##...###.#.#.#.###.##..##.##....######.##....######.##.#########...##.#...#.####......####.##..##.##....#..###.#..##.#.##.#.###.####.......#.##..#.#.#####....##..#.#..#.#.#..#.#..####.#........###.#######..##...............##..###.#.#.#.#.#.#.#.##....#.#.##..###..##.#..##...########..####.####..#.#..####.#.#..##
##.####.#.###....#.#.########.###...#.....................##.....###..###.####.###.....#.##.#...#####.#.#...#.##.##.#.##...##########.##.##..#.#..#...##.....##.#........#.###.####..#.#.#.###.###.#.#.#.#.##.#.#...##.#.####.#.##########.....##.####.#.#####.#.#.#....#.#.####.#.....##.#.######.##...####.......#.#####.###....#.##.#..#.#...########.##..####.#...#.....#..###.###..#.#####.##.#....##.#.##.##..#.#.########..#########.########....#........#..#.#.##.#.#######.##..###.##.##...#.###..##.##.#..##.##..##.##.#.##.##.#..######.####.#..#.#...#.#.#.###.###..#######..##.#..#####..##....##......##...#..#.###......##.#####.##.#..##..#..####.###....##.....#.#.##..#.####.#####..####....###..######...##.#.#.#.####.##.##.#.####.###...###.##..#####.########.##..##.##......#.#.#.#....###.####.#..##.#####.#.##..#####.####.##......###...#.##.#######..#
#...#.#...#.####.#####.####....#..###.########.#.##.###.#####.##.#.#.##......#...##.##.#.######...........#..............#.#...........#.###...##.##.#####.#......#####.##.#.#.##.#.##.....##..###.#...#.#.#....###.####..##....##....########.#....#.....#..#.#.#.####.#.#..#.#####.#......#.##....###.##.#######.#.#.....#.####.#.#####.#.###...##.#.#.##.##..#.###.#####.##..#......##............##.#..#..#####.....#.##...##..#...#.####.#.#.#####.#######.###.#.#..#....##.#....#.##.#.##..###.#.....##...#.#.###.##.#################.##.##.........######.#.#.#.#.###.##.##.##...##..##..##.##..#.##.##.##.#########.#..#####.###....###....######.##....#.#.#.####..#####.#.##.##....###.####..#.##.###.#.##.#####.##......#..##...#.##.#..#.#######.....##.###.##....#...########.###.#####.#.#...#.##.#...##.##..#.#.##..#.#..###..#..#.#.#####.###.##.##.##.#...#.#.##
###...###.#.#.#...#.##.#..####...#######..#..#####...##...#.#.#.......######.#.######......#.###.####.#.#####.###.##.################.##.#.###.........#########.##........#.#.#.....#####..##.#.#####.#.....####.#...#..######.#####.#.#...#....##.#####.##.#.#.#..##....#.##.##.######.##....###.##.#.##.........#.#####...###.....##.#.#.#.#.###..........##.#.##......#.###...#.#.##..#.#####.########.##..#.#..#####.####.###.###...#.#.......##.#.##.##.###.######.###.###...##...##....#.##.#.##.##.##.###.#...#.##..#.#..#...##.###........#.####.##..###.#........##........###....##..##...#.#####..#.#####.##.......##.##..#.##.###...####.##......####.#...##.#.##.###...##.##.#####....#..##.##.#.#.#.##..##......##.###.##..#...##.#.##..##.#...#.#.##...#.##.####.###....##...#..#..##.....#####....#.##.##.##.#..##.....##.#.##.##.#..##.#.#.#.#......#...###.####
#####.#.#.#.#...#...#..##.#....####.##.##.##.##.#..#.#..###...##.####..##.#....#.#..####.#.#...###....#.#.....#...##.####.#.......#.#..#.#.##..####.####.##.#....###.#.#.#...#.#.##.###.##.##....##....#####.#.#..###.##.##..#...#..#.#.###.##.#.#......#.#....#.#.#####.##.##.##.#.##.#####.###.#.##....#.#######.#.#...###.#.###.#..............##.#.#.#.#.##...##.##.#.......#.#######.#.###...#.##.#.#..##.#.##...##...##...##.#.##.##.#.#.#.#....#.##..#.###..#.#.#.##....###..###.#####.#..#.#..###..##..##.#.###..##.#.##.#.###......###########.#....##.#...#.######..##.##.##.#.######..##.##.#.#.##.#...#.#..######.##..#..##.....##.###.##.#######........###..#....#.#.####.......#..#.##.###.#....#....##..##.##.##...##..#.#######.#..##....#.#######..###..#.###....##.######.#.##.####.#####.####.####..#..##.##.######.......#.#....###.#.#.#.#.####...#.##...#.#
#...........#######.#.##..####.###................#####..##.#.#..##.#.###.##.#.#...##.##.#####.....########.#.#.#..#.#....###.#.#.#.##...#..##.#.....###..#.###.##.#######.#...####.##..#..##.##..####...##..#.##.##..#...##.###.##.....#.#.####.###.##...#.##...#.##.......##..#.#.#...#.....#..#.##.############.#.#.####........##.#.##.###.#############..###.#####.##.###.#####.########.###.#..#.#...##....##.######..##.##....##.#..########.#....##.....##..........#####..##.....##....##.##.##..####..#.#.#.#.##..#.##.#.#.######.###.###.#.....#.###.#.######...##.##.####..#....##..##...#.#.#..#...#.#.##..##.....##.##.#####.##..##...#..#.#.##.##.#.#.####.#.####.#....###.#####.#####.......####.####..##...##########.......#.#.#.####.###.###..#..#####.....##.#.#...#.##........##..##.#...##..#..##.##.##.##..#.##..##.####.#.####.#.#.#.....###########.#.#.#
########.##.#.##....#.###..#####...#.#.#.#.##.###.....##.#########..#.##..##.#####.#......##.#########.#.#..######.#.#.##..####.#....###.#.########.##.##.#..####..###.....###..#....##.##..#####.#..###.###.#.#..###.##.##...##.######.....#.###########....###....##.####..#.##.#.###.###.#...##.#...#.##..............#..##.#.###..#######...##.##.#.#.##.##....##.########...#.#..##.#.#....#.#.##.###.#..##.....##..##.#...###.##..#.###.#.#.#####.####.#.##########.#####.######.##.#..##.....#.##.##.#..##.#.#.#.#..##.##.....#.#.##.#.#.....#####.####......##.#.######.....##.#.######..#.#.#...##...#####..##..#####.##......##...#.##..###.##.#.#...###.###.##.#.#.##...####.......#.####..#######.#..#.#..##..####.#....##.#######......#.#..##.#.##.##.#..####.###..####.##.#..######..##......###..##.##..##.#..#..##.##.#######.....#.#.......#.#...........#.#...#
####...###.....####.#.#.#.##.#####.#.###.####.#...#.######.#.##.###....##.#...##.#.#####.##..##.##.......##.#..#.#.#######......##.#.#.......##.##...#.##.##..####.#.##########.#.##.#.....##.......##...........##......##.###.....#.#####.#..###.##.####.########..####.##.#.##...#.#.#.####.##....###..##############.####..#####.##.......#..#.##.#.#.#...###.###..##.#....###.#.###.#.####.#...##.##..#########.###....##.##...###.#.##.......##...####.###.#.##.....###.....##.###....######.##.##.##.##..#.#.#.#.#.###..##.##.#....###.#####.#......#.##.#####..#.#.##...#.###.....###...##.####.##..###..##.###.##.....###.#######.##..##.#.#.##.....#...#..##..#.#.#.#..#.#..##.######..#.##.#.#.#.#...##.##..##.#.#....#.##..#.##.####.#.##.#.##..#..#..#.#.##.##.#.##..##..##.##..##.#####..######...###..##..#.##.#.##..#.....#..#.#####.#.#.#.#####.#.###########.###
#....#.#######.##.........##.......###...##...#.#.#....###.#......#.#.##..##.##....#.###..##.##..#####.#..####.....##....###.#######.####.####..#..#.........##.......##........####.#.###..#####.###..#.#.#.#.#..######.#..#.#####....#.#..#.##.#.#....####.#..#.##..#.#......####.#.#...##....####.#.#.##..........#.#.#.######....###########.#.##.#.#.#.###.#.#.#.##..####.#.#.#.##..#..##..###.##..##.#.#..####.#.#.##.#..##.#..##.#.########.####..##...##.#.######...###.###..##..#####........##.....##.....#.......##.####..####..#...#.#..######...##.#####.##....#####.#.##.####.###.....##...##...##.##.##..######.#.#...#####..#.###.....#####.#######.###.#.#.#.#.####.##......##.##.##.........###..##.##......#.##..##.#.##.#.##.###.....#.##.##.##.#..#.#..#..#.##..###.##.##....#.##..##..##.###..####.#.##.#.##.##.#####.##..###....#.#######.#......#..##....#
#.####...#........#.###.#....##.#.##...#..#.###.#.#.####.#.#.####.###..##..#..####.....##.#...##.#...####.##.###.#######.#.###.##.#........#.##.############..######.##########.##.....####..##...###.###########..#.###...##.#.##..##...##....#...##.#...##.##...###.#.#####.##....#.###.####.##........##.########.....#.#.###..##.#....#.##.#.#.##.#.....##..#.#.#.###..###........##.##..##.#.#.##.##..#.##......#.###..##.#####.#..#..##.#.##.#.##.#####.#....#.#..#.####..##..######...#####.#########..#.###.#.####.##...##..##.###.###.#.##.#.###..#..#.#......#.####.##..#.....#.#.#.#.#.#.###.##..###..##.##.##..........###.##..##.#...#####.#.#.#.#...###.......#.#.#.##.#..#######..#.##.#######.#.#.##..#..#.#######.##.........##..####.###..#.##..#.##...##.#.##.##.##.......#.####.#..###.##....##..#.#.#.#....##.##....##.###...#.####.....#.#.#.#.####.##..####
########...#.#.##.#.#...##.#.#..#########.###...#####.#....####....#..####...##.####.###....###..###.##...#..##..#..........#.......######.#.....#####.#...#.##.##...##.#.#.#....#.#.#.#..#.#####.#.####..#.#.#.##...#.###..#.#..#######.#####...#..#####....####.......#.###..####.#.##.......######.#########.#.####.#.....#.#.#####.##......#......###.#.###.#.#.#.#.##.#.#.########..###....#.#.#..###.#.##.#.##....###.##..##.#.##...##..#.##.#.#...#.#..####.#.##...##.##..##..#.###.#....#...##.###...####........######..##.#...##.#.#....#.#.#.#####.#...######.##....##.#.#####.#.#.###.###.#..#.##.##..#.##..######.###..#...##.##...####.##.#.#.#.#.#######.##.##...#.##.#.###.##.#.##.##.#.#.#.###.#..##...##....##.#####.########..##.##.##..##.#..##.###.##.....#.....##.######....#.#.##.#..##.#..#.##...#.##.#.##.##.#####.#...###...###.##...#.#.######..##..###
##....######.#.##.#.##.#####.#.##..#.###....##.###.##.####.##.####.##..#####.....##..#.####.##..##....###...##..###########.######.####......###.#.#.#.###.#.#...###.#..#.#.####.########.....##..#.##.##........#.#.......##...####..##.#.####.###.......##.#.###.####.#.#.##..##..#..#####.#...#.#.....##........#...#.#.#.#.####.######.###.######.#####.#..............#.#...##.#.##...####.#.....##.#.#..#######.#...#.#..##.....###..##.#.##.#.##.##.##.###..#..###.##..##..##...#.######.##.###.#...###.#..##########..##....##.##..#.####.#...#.#.##....###.##.#..###.##.......##.#.#.##...##...##.##..##.#.#..###...####..##.####.#..###..#.#....#.#.#.#.#.#.###...#.#...##.#...........#.##.#......##.#.##..######.##..##.#........##.##..#...#.###...###.....##.#####.#####...#.##..#.##...#..#.##..#.##..###.#.##.####......##....###.#.###.##########.###..#.##..##.#
#..##........#.##.#.#...#.########.......#######....#.#.....#.#.....##..#.######.###.#.##....##.####.##...###..##............#.######.####.#.#...#.#.#.#.#.#.###.#.#.##.....#..#..#.#.##..#.#..##...#...#.#.##.#...#.#####..###.##.##.............#######.#........####........####...##.#######.#.##.############.###.#.###...##....##.....##..#........#....####.#.#.#.#...#.####.#.###.##....####.##..#.#.##..#.######...##.##.#.#..#..##..........#..#.##.#.##.##.##...##....##..#....##.........#.###.#.#.#.##....##..##.#####.##..##...##...###.#...#..#.###...#.#.##...##.#######..#.#.#..######..#.###..#.#.#.##.#.####.##..#..##....##.##.#.####.#.......#.#.##..######.##....####.##.#.#.#....##.###..#..##..#..#####.###.##.########..##.###.#.....#...#.#####..#.##..#.#.##.##.##.####..#...##.#..####..###..#.##..##..#.####..##.#..........##......###.##.#.##.###.#
##.##.###.#.#######.##.##.......###.##.#.##.#.#####.#.###.#...#####.###...#.#....#.#.#..###.##..#.#..####...#####.#.##.#.#.#...............#####...........#.##.......#####.##.##.#.#..#.#####.####.#.#################....###..##.########.#.#####.##..####.###.###....#####.##..#.#.##.#.##.#..#.#....##.##.......##########..###.#####.#.###...#.##.#...#########.#######...#.#......#.#####.......##.#....##.....##...#..#.####.##.##.####.##.#.#...##.##.#....#..####..####.#######.#######.###.#.#.#.#......#.#####.##...##.#....###.#..###.###.###.####.##..###.#.####.##.....####.#.#.#.##..##..##.#.#.##.#.#.##.#.##......##.##..#.##..##.#.#.##...#.#.###....##...##......##...#########...#####.##..##.####...##.#.#.##..##...#.##.#.##..##....#.#.#.#.#....###.#....##....#.##.##..###.######....##..##..#..##.##.##..#####.##..#...#.########..#######..##.#....##..#
####..#...#....##...##..#######.....##.###......#.....#.####.##.#...#...#...####.#.#.#.##.#..##.#.##..##..###.#.#.########.###############.###...#.#.#####....##.#.##.###......##.....#####.....##..#...#####....##.#.##.#...##.##.#......######.#...#.##..#.#.######.###......#.####.##.#.##.##.#.##.####..##.####.#..###.###.##....##.#####...###..###.####.....#####.#.####.#.##.#####.....######.##..#.##..##.##..######.#.#.##.##......###########.##.##.####...##.##.####..#..##.#..##...###.#.#.#...#.#.####..#.#...###.#..####.#.####...........#.#.#..##.##......##...#.###.#.##.#...#.##.####.#..#.#.##.#....#.#.##.#.##.......######..#...#.##.#####..#####....######.#######..#####.####.#.#.#####.##..#.#.#..#...#....###.#.#..#.#..##....####.#.#.###.####.#.#.##..####....#.##.##.#.#.#.#####..#.####.#.###.#...##.###.#.##.########....#.##..#.##.##.##...#.####.#
#.###.##.##.#.##..#########.....###..##########.#####...##...##.###.###.###..........#..#.##.#.....##.###..##...####.##.####.####.##.#.#.###.###.#####.####.########..#.#.###.##..#######.##.##..##.#.###.#.####.##.#..###.####..#.######.####.#.##.##..##.###..#..########.##.#.#.#..##.#.##....#.##.##.#.#######....##.......###.###...#.###.############.#####.#.#.#.#..#.#.#.##.#.#.#.#######.##.###....#########.#.###....#.########.#...##.#.#....##.##.###..#..#.#...#.##...##..#.####.###....#.###.#.####.##...##.###..##..##....##.##.#.######...#.##.##..##.#######.##.#.###.##.###....#..#.#...##.#..#.###.##.#..#####..###.###....##.###.#.##...####..##...####...#..#.##.#####.##...##.......##.#.#..##.#.####.###.#####..###.##...###.##....#######...#.##.#....#.##....##.#.##......#.#..#.##.##..##....##..##.###..#....##.#.##.##..####..#.##..#..#..###.###....#
#......#.#..#..##.###.#.#.########..##...##........####....#............##..########.##.#.##.##.##.##..##.##..#..##...#..##.....#.........##.######.#..#.#..#.#.#.#..##.###...#..###..##..######..#.#.##..#.##.#....##.##..##.##...##.#.#...#..........##...###...##.##..####....#.##.##...#####...##.#..#.##.#..####..###.###..#...####.....####.####..#.#.#.#.#.#.#...##.......##.........###........####..##.##......#.####.#...##...#.##.##..#.####..#.##...#####.#...###..#.#####....##..##..##.#..##.#..#.#.##.###..#.##..##....####...#####.######.#.#...#.###.#..##.#.#.....##.##.#.###.##.##...####.#.##.##..##.##..#..##...########.##.##..#....#....##.####.#..###...##..#..###...#.####.#####..#.#...##.....#.#......##.##..##..#.###....##.#....#.###.##.##.#.#########.#####.#####.###.#.##.#.....######.###........##.####.....#..##.###..##..#.##.##.##....#####.#
###.#.##.#.######.#.........#.###..#####.#######.#...#########.##.#.##.#########.##..##....#.#####....##...##.##....#...##..###...###.###..#.#.##...##.#.##.#.#.#.##.....#..#...###..####.#.##.##.....##.##.#..####..#..##..#..###......###.##########.####.....#.....##.#..####.#.#..##.###...###.##.#.##..#.##.##...##.######.##.##.#####.###.#....##...#.#.#.#...###.#######.##..#.#.#.#.#...####.####.##..#.#######.#.###....######.###...##.....###.#.#..###.#.#.##.#####.#.##..##.#####.######...##....##.#.##.#.##....#.######.#..###.##.............###.#..#..#.###.#...###.##.##.#.....#..###.##..#.#.##....###.#..##.##..#.##..##...##.###.#.######.#####......##.###..##.#.##.#.###..##...##.####...####.#.#.....####..#.##.##..##.#.#.############..##..#.#.......##.##....##...#.#...##.#.##...######.##..#.###.##.####....#.###...##......###.##....#...####.#.##..#
#...#.##.#.#....###########.#.....##........#.######...........#..#.##.#.........###.#####.#.#.#.####.##.##############....##...#.#.....##......###.##...#.........#####.#.####..#..##.##....#.######.##.#....##..##.#.####...#########.##...........#..#.#####.#####.##...####....##.....###.##.#.##.#..##.......###.#..###.##.#..##.#.##..##..###.##..#.....#.###.#.#.#..#..#....########.######.#.#.#...##....###.##.#.#.####.#.#.#..##..#.##.##.##.#.#.#.##...#.......#.#.....##.#..#.##...###.###..##.####....#.#.#####....#..##...###...#########.###.#.#.##.#.##.##..#.########.##.###.#...##....##.#.#.##.####.....###....####..#####.#...##...###.#####.##.##.#.#..#.#.###............###.###...####.##....###.#####.#####.##.###..#.#...##.####...###..##...###.#####..##.#######.#.##.##..#..#.###.##.#..##....#####.##.#.####...##.###.#######..#..####.###..#...##.##
#.##########.##..#.##.#.###.#####..########....##..###########.#.###############.#...#.##......#..###.##.#.#.#.#........#.##################.##.###.####...#.###.#..#....###.###.##..#.#####....###.#.#..####.###.#.......###.##.#.#.#...######.####.##......#####.....###.##.###.######.##.#.#.....#.#.#########.##..#.##.#.##.##..#.#..##..##......########.#.##....#.##.##.##.#..##.#.####.##.......###.##.####.#.#....#.#.#......#.######..####..#.#...#.##.#.###.###...####.###.##.#..##.##...####..#....###.##.....######.##.###.##...#.#.........#.............#.###.......##.#.#...######..##.####.#.#.....#.#####.#.####...##.###....#.######.#.....#.#.####..#...##.#.....#####.######.#.#.##.##.#..##.##...###.......##..##..#..##.#.####..#.###..##.#####.##....#.#.##...#.##......#.##.##.##.#....#.##..##.###.##...#.#.##.#.######.#.......#.##.##..#...##...####.##
#.##.#.##..#####.#.#.........##...##.#.######.##..##.####.##...###.##.#.##.#.......#....######.#.##.#.##.....#.######.######.#.#.#.#.##.#.####......#.###.##.######.###.###...##.#..##..##.###.##.......##.##.#.#.####.######.##.....##.##.#....#.#...##.##.##.##..#.#.##......##.####.#..#...#####.#.#...####.....##...##.#.#.....##...##..##..###.##.#.####.#.##.##.#.......##.####.....##...#####.###.#.##....#.#.####.#.#...####.....###..###.##...###.#.####.#.######.###...##..##.#.##..####.#.###...#####...##.#.##.##...##..##.##.#.##############.##.####.####.#...########.#.##.##.#.###....###..#.#.#####.#.##..#..#...####...##.#....#.#.#...##.##.#.#.######.###.#.###....##.#.##.............##.....#.#######.#####..##..##.###...##.#.##.#.#.##....##...###.##....##.##..####.###..#.##..#.#.####.#..##...##.####.#..........#.#....#######.##....##.#####.###....#
#.#..#.#..###......#.#.#.#.#.######..............##........###.##...#...#..##.########.###............##.#####.##.#.####.#..............#.#.#######.......#..#......##...#..###..##.##.###..##....#####.##....#........#.##.#..#####.##..#.#.####.###.##.#..#...######....####.....##..##.###.##........###..#####..###......#####.##.#####..#.###..#.........#..###..##.#.##....##...########....#..#.#.#.##.####...#.#....###..#####.###.#.##...####.##.....##..#.###.#..#.###..##.#.......##.#....#.###..##.##.##..####.####.##.##..####...###.#.#.##.####.#..#.#.#....#.##.#.#.....##..#.#..#..#.##.##.#...#..#....###.##.##.###.#.#########.#.#...#######.#....#.#...#.#.#.#####.#####.#..##.###########.#########.#.#.....##..##......###.##.#....#.#.#..#.#####..##..#.####...#.##.#....#.##.##.##.#.#..#.#.#####..#.#.#....#.##.#.#...##.###....##.##.#####.#.#.#.#.#.####
#.##.#.##.#.######...#.#.###...######.#.########..######.#...######.###.##.####.#.#.#......#.#.####.#......#.#.#....##...#####.########.......#####.#.#.#######.#.#....#...##.##.##.#...#..#########.#...####.########...##.##.##....###.#.#..##.......####.##.##.###..#.#######.####.###..#...######.###.##..#..##..######.##.....##..##...####.##...#######.##.##..##########.##..#.##.##.#####.##.#.#.#....#..###.#.####..###.#.....#.#.#.####..##.....#.#####.#.#.#.##.#..###..#.#####.####.####...##..##......##..#.#..##......##...###.##...........#.####.#.....######..#.#.#####..##.##.##.####..#.#.###.##.#.##......##...#.....#.##......###.##.##.#.##.###.###.#.#.......#...###...###........###...######.#.#.#.#####..###.######.#.##...#.##.....####.##..###.##....##.##..#.###.##.##.....#.#.#.##.#.#..##.##.#.#.###########.####...##.###..##.#.##..#.#.#........#
###...........##...#########.###..#######........###########.##.#.......##.#.#....#...##.#.#####..#.####.###.#.####.####..######.##.#.####.##.......######.##.######.#.###.##..#.##...###.##.#.#.#.#.###.#...........##.###..#..####.....#.#.##..####.###...#..##..#..##.#........#.#.#.##...#..##.....##..##.##....##.......####.##..#####.#.#..###.##...........##..#.##...##....##.#..##.#.#........#.####...##.#.#..##..##.#######.#.#.#.#.###....#.###.#.#.#.......#..##.#.##.....#....##..#.####.#..########.###...##..###.##..##.##...##.#.#.##.##....##..#.#####.#.###.....#.##..##..##.#...#.##.#.#.....##.########.#####...#.###.####.####.#....##.#..#.#.#.##..#...#.#.#######.#.###.##.#.###.#...#.#..#.#...........##.##....#.##.#.#..###....#####.##.#..##.#.##.####..#..##.#...##....###..............##..##.#....##.##.#.##..##..####...##..#.#.##.##.#...####.###
####.######.#########.##.......##.#.######.#.###.##.............#######.#....####...#.####.##.##.######...##.#..#....#.#.##...##.#....#########.##.####........#.#.#######..##....##.####.#..#.#.....#...##.#.#.#.##....#.##.#.##.######.#.#..#####.#.....#.##..##...############.#.....#######.######.##.##...####..#####.###.#...##..##.......##.##########.###..##.#.####..#.#.#####.##..#.###.####.#.#....###....#.##..###.##....#.#.#.#.#...##########...#.#######.##.##....#####.####..##.#.#.##...##.##.##...#..###..######..##...##.#############.##.###.#.##.#....#.#.#####.#..####....#.###.#..#.#.#####...##....#....##.#######........##.#.####..#.##.#.#..##.#.########.#..#.#..##..##########.##.#.##...###########...##.###..#.#.#.#########..##..#.##......##..####.#.##..##.###.#######.##.#.##.#.#..##.##.#.##.#...#.#..####..##....###..##......##.##.#######.#
#....##.###.##.##.#.#..####.##......#.#.#######...##########.####..#......##..####.####.#####......##.###..#.##.####.#.#.####.#..##.#......##.######..########.....##.##.#.#####.##...#.#.##.#.##.##.###..#############.#.#..#..#.#...##.#.####.#.....#####..##..###.#.##.#..#..#...##.##.....#.#.##...#...##.##..#.##.##..##....#..##..#####.#.#..........#######.##.#.#.###...###.##..#..##.#.####.....###.##...##....##.#.#..####.#.#.#.....###.##..#....###.##.......#..##.#.##.#....###.#..#....###..#.##.#..#...##.##.##..###..###.##..#.#.#.#.##.###....#......#.####...##.##.##..######...##..#.##.#..#..#.#..####.##.###.....##.######.#..#.#.##.##.#.##...#.###.#.##.#.#.....##.#.###.##..##..#.###.....##.##.###...##..###....##.#...#.##.##.####..#.##.###.#######.#.##.#.##.###...........#..######.####.##..#...#####.##.#.##....#####.####.##..######...#.#....#..#
##.####...#.##.##.#.#.##.##########.#.#.#.#.#.###.#..##.#....#.###.##########....#.#.#....#.#####.##..####.#.##..##..#.#..#.#...##..#.###.##..##.####.#........###.#.......##..#..###.#.#.#..#.####...###.##..###..#....#.##.##...###.#..#..##..##.####.###.##..##...#.##.##.##.#.#..########.....####.##.##..###...##..##....#.###..#.##..####...#####.##..#...........#.#.###..##..##.##.##.#.##.#####.#...####..###.##..#.#.##.##.#.#.#.###.#....##.####.##...#.###.#...#####.##.####..##.##.####.#.##.#.##...####........##..##.##...##.##...........#####...####....##..#....##.###..#.#.###..##.#....#.##.#####..##..#....##.####...##.#####.#....#......####...##..#.#..#.#.######...#....##..##....#..#.#.#.......##.##..###..####....###....##.#.#..##.##..#.....#.##.#..#.#.##.#.#.############.##...#....#####...###.##........###.##.##..##.#.###......###...#.####.##
####....#...##.##...#.#..#.......##.#...#.#...###.#.##....##.#.#........##.#####.#.#.####.#.##.......##.#.....##..##.#...##.##.###.##.##...#.##..#......#.#.#.##.....##.##..##.##.#...#.#.##.#.#.#..###.#....##.##.####...##.####...#.##.#.####.######....#.###.####.#.##.......#.##..##.#..####.##.#..##.#..##.#.#..##....####...##....##.#.##.####.#..###.#.#.#.#####.#.#.#.##..#.###.##..#.#.#....#.#.###..#.####....##.#.#.#.......#.#...######..........##.####.#####.##.#........##.##.##.##...#.##....########.##.#####..##.....####..###########..##.###....#.##..#.###.#.##.#.##.#.#.##..###...####.##..##...####.#.#####...####.##.#.#.....####.######.###.##..##.#.##....#...###...#.###.####.#...####...########....##.##.#..##.###.#.#.###.#.#.###.###...#####.#....##.#.##...#.##.#....##.###..##########.###...#.##.##.###.........##..#.......#.########.#.#.#...#
#....#.####.#...#.#...##.######.##..###.#.###.#.#....###.##....#.#.####..#.#.#.#.#.#.........#####.#..#.####.####.#..###.##.#....####.##.#.#..##.#.#.##.##########.#.#..###.......###.#.#..#.#.#.##...#.####.##.##....###..#.#.#..#......#.##...#.#....##....#...#####.#######.######.##...####...#.##.##...###.###.##########..###..##....#..####.#.####.#.#######..............##.##.....##...####...#.###.##..#.###.##......#.###.#...###..##.#..#.#.###.###.#.#...#.##.##.########.#.....##..###.#.##.#####.#.#.#..###.##..######.##..#.##...#.....#.###.##..##########...#.#.#..#.##...#..##.#.###.####....#####.##.......#.#.###....#..#.#####.#.##...##.#..##.###.#.......####.###...######...##..###...##.#..####..#.#.##..#....##..#.#.#.###.....#.#.....###...#.#.#.#####....###....#.#.####...#..##...#.##.#.#...###.##.############.#####...#.##.####.##.##..#.#...#.#
##.#.####.#.##.#####.###.##.#...###.#.............##.########.#######.##.......#.##########.##..#####.#..##...##..##...#.##.##.####.######...##..#########.#.#.....###.##.#######..##.#.##.#.#....##.##.#.....#.####.####.##.#.#.#######.#.####...####..####.##.##.###.#.##.##.#.##...####..#.###.......#.###....##..#.#.###.#############.#.###...#.#.#.....#########.##.#.##.#.##..##.######.#######.#.#.#.#..##......##.#.#########.######..#.######.#...##..#.###.#....##..##..#.....###.##.##..........#.#.......####.#..###.....###....###.#####.#.#....##.#.#.##.##..#.######.#..##.##.##....##.......##..##.#..###.#####.#.#.####.#.##..##.#...#..###....##........#########....##.#####.##.##..#####.######....##...#####.#.######.#.#.....#.#####.#.#####.#.###.#.#.#.##..####.###.##....#.##.##.###.###.##.#...#.....##...##.##.#..#..##...#.######.##.##..##.#.#.#####
#######........#.#...##..#..###.#.#...##.########..###..##.....##.#....####.##...##.##.##......##.##..##..###.###.####..........##...#..#..#.###..#.#..##....##.##.######.#####.##.##.#..#...####.#...#.#####....##..##...##.#.###..........#.##.###.#####.........#.#.#.#........###..##..##.#.#.#####....#####.##.##.......#.##..#..#......#.###.#.#...#.#..#.#......#########..##.##.....##.#.........#.....#######.#####.##.#..##..#.#.##.##..##..#####.###.....#.####....####...#.####......#####.#.####.#######.##...##.#.#####...####.#.#.#.#.#.#.####.#..#...##.#..#####.#.#.#.##...#.###.#####.#.#.######..#.##.#.##.##......##..#..##.#..#.###.##.##.#########.###...#.#.#.#####.##.#...#.###..#.#.....#.######..#.####..#.####.......#.###.##.##.....##..#.#.#.#......##......##.....####.##........##..##.#.####.#####.###.......#####..######.###..#.#..###......#..#
#.####..##.###.#.###.###.##.#.....###.#####....###..###.#..##.###.####......#..#........###.####...##.###.##...##.#....###.#.##..###.##.####.#.##.#.##..##.#.....###.##.............#.##.##.##.##.##.##.#.#####.####.#..#....#...#####.#.##.#.##.##...##.#########.#.#...########.#.##....###.#.###.....##..##.#.#...####.##.#..##.##.######.#.#...#.#####.##.#.########.#.##.#..##..#..#####..#########.#####..##.##....##...#.#.##..##.#.##..##..#.###.#...###.##.#.#..###.##.#..###.##.###.##.#.###.###.##.#..##.#..##.##..#.#.##..#####..#.#.#.........##.##...###..#.##.##....#.#.####.#..##..##...#####.##.##.#.##.#.....###.######.#.##..##....##..#..#.##..........###........###..##.#.###.#.#.##.###.###......##.###.#..##....###.##.####.......#.###.###.........####.##.###.##..##.###......#.######..###.####...#.##......##.####.##..###.##..#.##.#.#.###..######.##
#..#...#######.........#......#.#...###.#.####..###...#.####..##...#.##.#.#.#.###.#####..##.#..###....#....###.##.##.###########.#.#.....##.......#..##..#####.#.###..#########.###.#.#..##.##.##.##.#..#.#.##...##..##.##.#.##.##.#######........###.##.##......#.#.###.##.###.#.#..##.#.....#..######.##.###.#.##.##..####.##..#.#.........#.###.#.#.....#......#.#.#.........####.#.##.####.#.#.##......##..###.###.######.#.#.#..##.....#.####.#..#..##.##.###......##...#..########......#....#.#..##....#.##..##..#.##.##...###.#...##.....###.##.##.#.....######...#...###.##...#.#....####..###....##.##.##...##.#.#####.#....##.....##.#####..#.##.##..##.####.####.#.########.##..#.#.#.#..........#.....#######..##.##..##.###...####.####.#####.#.###.####.#######.###...######.##...##.##.##.#######..#..##.###.#.##.############.###..#...##.#......#.##..####.##..#
##.#####.......#.##.##...#########.##........##..####.#..####..#.#...##########.###.##..##....#####.#...##......#.######.##.#......#####....##.##.##.#..###..#####.##.###.......#...#.##........#.#....##.#..###..##.#######.##.##...##.#..##.#.#.#.#.#...##.#.#.#.#.#............##.########.#.##.#.....####.....#..##.##.#.##.##.#######.#.......#.#####.##.#.#.....##.######.#.#....##.#.##.#....##.###.#..##...#.#.##.##..#.....####.##...#.##.##...##...#.######.######.##..###.####.######.#...##..##.###..##.#..##.##..#.#.#.....###..#.#..########.#####.....####...###....#.###.##.####.#.##.#.####...#.#..#.##.....#.#.###.###.#####...####.##.##....######...###........####..#.##.#.....#.##.#####.###.###.##..###.#..###..####.#.##..##...##.#....##..#.#..##.##..##..#.#.#.#...#####..#####.#....#..##.##..#......#.#.#.##.#...#.#.##.#.####...#.#.##.##.##..#....##
#.....#..##.##.#.##.#..#.#..##.#...#######.#####......#.##.###.#####...##..#.....##..##..####.##.#####.######.###.#.##.#.#....#.##..#############.#....##.#.##..#.......###.#.#.###......##.#.#...##.####.##..#..###.#.##....##.####.##.#####.###.......####.###...#.######.#.#.#.....##.........#.#####..##..###.#.##..#.......##..##.#...##.####.#.##.##########.##.#####.......#.####.....#.###.#####.#.#.#####.#.#.##.###.#####.##.######.#.#..####.####.#.#..#....##.##.##.##...#..###.########..##.#....##..#.##.##.###.###.##.####.#######..###.##..###...#####.####.#.###.##..##..#.###.....#.#.##.###.#.#.####..#.###....##...#....###.##....##.##.####.##.###.#.#.########..#.##..#.#.###.###..###########.#.###.#.#.##.##..##.......#.##..###....######.#.##.....##..##.###.#.##.###.###.#.#.###.####.##...##.####.###..........#.#.............#.#####......##.#.#####
#####.####...######.####.##......#..........#.#######....#.#.#..##.##.####.###.#....####......##...#.#####.##.#.#.#.##.#.##.#####..##..###.##.......##.......##.#######.#.##############.########.##.##...###.##.##..#..####..#.#.....#.#.#.###########.##.#######........#.######.#.###########.#.##.###..####.#.#.###.#######..##..#.########.......#..##..########.#.#.#######......####.##.....##.#....#...##......##.#.#..##.......##....#.#.##.#...##..#.##.####.##.#..##..###...###....#.##.##......######...#..#...##..##.......#..##.####.#.#..##.....#####.#.#......##.....####.#.#.###.#......#.##..#.#.#####.#####.#.####.##.####.#..####.##.#...###.....##........##.#..##.##.##.....#..###.......#.##..#.#.#...#.##..#.######.####.###.....##.....##......##.###.###..##.#.##.#.#.#.#......##.#.##.##.###..####.##..#.##########.####.##.##.##.#..#..###.##.....####
###....####.##....##########.###.##.###.###....###....##.......##......##...#####.#..########.####.#..#.#..#..#.#.#.##....####..##.#..##.#....#.#.#.###.####..#..##.....#..#.#.##........#.#.#.##.##..##.##...#..###.#.##.###...####.##.#....##..........#..##.....######.####.#.###..##..###....#.##..###..##....#.#.#..##.##..####.#.##.##....#.#.#...####..#.#.#.#.#.#.......##.#####.#..######..#.####.##.##..#.#.##..#.##.#####.##.#####.#......#.#####....#.###.......###.##.#.###...##...##.####.#####.#.###.##...#..##.###.##.###.###..#.....##.######.....#.#.####.#####.####.#..#.#.#.###.####.#.###......#.#......###.#.##.#....##.##..##..##.#.###.#####.###.#.######.#.##..##.##.#.###.##.#########..##.#...##.##.#..##...##...#.##.#.#.###.############.#..###.#.#.#.###.#.#........#.##.####....#..#.#.##......#..##..####...##....#############.#.########.####.##
#.####.#.########..#....##.############.##..##.....##..##.##.#.##.##.#....###..#####..#.......#.#..##.#.##.##.#.#.#..####..#.#.###.##......##.#.###.#....####...#######.##........#.###.##...........###.####.##.#.#.#.##..####.#.#..#..####.##.###.#.#.##.##..###.##.#....##.....###.###.#.####.#..##.#.##..####...#.#.##.....##.#....##..####.#######..#.##.#.......#.######.##....#.#.##..###.##...###......######..##.#..#.#.##..####.#.#.######....##...##.....##.#.##.##..#......#.#.#..#..#..##........#.#....#.######.......####..#.##.#####.#.......##.####.#.#.#...#.#.....#.##...#.#.##..#..#.#.#.####.###.#.########.#.##.#.####...#.####.##.#..##..##.#..#..###.###.....##.##....#..##.##.........##.##.###.##.#..##.##.######.#..#.#.....###.##.#.##....######.....#.........#.#.##...##..#.###.##.##.#.#######...###.##..###....##.##.###.#..##.....#.###.....#...#
#.#....#.#.#.#.###.#.####...#...........#..#######.###########.....####.#.....##..###.#######.#.#.##.......#..#.#.#.##.###.#...#...###.#.#.#..#.######.###....#...#.....#..#.#.#.################.##..#...##..##.#.#.#..#.##.#....##.#.###...##########..#.#########..####.######...#.#........#.##.##.#....##.####.#.#..#####.##.#.#####.###.####.#.#..##.##.#####.#.#.##..#.....#.##.#.#..##.#.####.#.#####.##..##..##..#.##....#.##.#.......#.##..#####.#..#####.######...##.##.#############.##.#..#.######.####.....##.######.###.##.#.##.#.#...#.##.##..#.##.#.#...##.##.##.####..###...#..##.#.####.#....#.....#.##.##..#...##.#...####...#.#...#.#.####..#.##.##.##....##.####.....#.#####...#.##########..#.#.#.#..#.##..##...##.#.#.##...##.####..#.#..####...##.####.##.###########..#.#..####.#.#.##..#.#....###..#...#.#..####.########...#.##..####.##.#.###.###.###
#...##...#.#.#.#.#....#.###.#.##.###.#.###...#######.#.#.#.##..##.##....#####..#.##......#...........#.###.##................#.###..##.#.########.######.########.#####.##########....##......#.#####.#.####.##..#.#.##.#.##.####.##.#...###...#..######.#.#..#..####...#..#.#.#..#.....##.#.#...........##.#...###.....##.....##.....##...#..##.....##.....#.##.####...###.#.###.#....#.#.###.#.#......##....##.####..##.#.##.#.##..#.##.#.##.#.#..##.#.######...#.#..#####.#...#......##...#......####....###.#..###.###...###.....#..#.#..#.#.###.########.#..#.#.##.##...#.#.....##.#.##.##.##....#.##.####...#####.....##.##.##....#.#.###.##.###.#....##..##.##.##....#####.###..##.##.#.#####.#.#.#...#..##.#.#.#.##...#..###.####...#.##.#######.##...#.##.##.####.#.##.#............#.#####...##.#.#..##.....####...#########.##.....##.#.##.##..##..##........##.##....#
########.#.#.#.#.####.#.#...#######..#..######....#...........######.#.####.##.#.#####.#.#####.####.#####.....###.####.###.#.#..#..#######.....#....#.#..###......###...#.#.#.#.#####.####.##...##.#.....##..###...#.##...##..##..##...#.#####.##.#.#........##.##.####.##.#...####.##.#########.##.#.#.##....#.#.####.#######.###.#######.##.####.#....###....#.#.####.........######.....##..#.######.####.##..##...##.....###..##....###.#....##.##...##.#.###.#.#.##.#...###...####..###.####.#...#..####.#.##.#.....##.##.###.###.##.##...#..##.###.#.#..##.#.#.##..##.##.##.####.......#..##.####.##..#.###..##...######.#..##.#.####..#.....###.#.##.###.##.....##.###.##..#.#.######.......###.#.#.###.##..#.#...##.#.##..#...#.##.##............##.###.#..##.#.#.........##.#.#.#.#####.#######......###.##.##.####.......##.....#.#..#...##..#.####.##.#.######...#.####
#..................##.#.###..##.##..#####.#.#..##...#.##.##.#.##.....#.#....#.....#.####.......#....#.....###.##..##.##########...##.##.###.##.####...#.##.######...###..........##.#.#.#####.#....####.####.#.##.##.##.#####....###.###.#......#...#.######.#..##..##.......#...#..##.##.........#####..###.####.#.....#.##.#..#..#.##..........#########..##.#.#..#########.#.#......#######...#...#...#.#..#.##..#..##.#######.#..#.####.####..#.#..###.....#....#..#.###.#.###...#####.#.#.######.##..###...##.###.#.#..#..##....#.....###.##.##.#.#.#.##.#......###.#...#.##.#..#####.#.#.##....#...##...##..####.###.#.#.##....#######...#####.#...####.#.##.#####..###..##.....#.##.##.#.######......##..##.#.#.######.###.#.###.##..#.######.#####...#....##......#####.#..###.#.#######..#.##.####.###.#..#.#..#.##.#######..##########.###..##..#.#..###.##..#..#......#
#########.#.###.##..#.#.#.##.##.#..##.........##..#################.##.####.#####.#.#.#..###.#.##.#.###############..##..##.#.###..#.##..#####....###.............#.#.##.#######.#........#.######.#.##.##............#.##..####.#...#.########.###.###.##.....##..#####.#######.##.#..###.##.#.#.##########..##..##.##....#.##...##..###.##.###..#..###.#####.#.#.##.#....####.######...##..###.###.###...##.#..#.###..#...##..#.#.#####.###..##.#.#.##.#####.####.##.#.#.#...##..###.##..#.....##.#.#..##.###.##.##..####...#####.##.#######.......#.#.#.##.#.######.....###.##.#.##..##.#......####.######..##...##.#.#......##.####.#..##.##..##...#.#.##....#..##.##...#.##..#.#......######..#.#.######..###......##.#....#.#.##..###...#.#######.#..###.######.###...#####.##...#.....#.##.#..#..##...#..#.#####.#.##.#.#.#.##....#...###.#.#.####.#.#.##....##.#.#########
#.##.###..#########.....#.#..#..########.##.#.#..###.##.#.##.##.#.#######...........#.######.#.######.......##.##...####....#.####......##.#.###.##...#.##.###.##.#....######......#.##.#....#.......#..######.#.#.##...#..###.....###..##.##.#.###.##..#####.####.##########.#...####...###..#####.#.##.#.##.#..#######.#....##.##..##.#########...##.#............#.####.#.####.######....##...#.#.#.###......#######...#####.......##..##..##.......#..##....##.......#.###..#.##...###.#.#.#..#.#...###.#.#.##.###..#####..##.#.##..###..#######.......#......##.####.##.#.......##..####.##.##..#..##....##..###..#.####.###..##...##.....##..##.####..####.#.##.....###....##.######...#.###.#......##..##...#######.####......##.#.##.##....###....####..##.#....#.#.....#..###.##.#.##.##...##.##..###.##.#.#............#.##.####.###.#.......##...#..###.##..#.###.##.##
#........##...#.....#.#...##.##.##..#######.#.####.........#..#....#.##.###.#.#.#.#.#.#.#..#####.#.#####.##.....###.#.####.##.#....##.####.......#############.#..##.#..##..#####.##########.#######.##.#.###..#.######.##.#.####.#####..#.#....#.#.###.#.#....##...##.##.....###.##.#.#########.#.........##...##.##..####.#.....#.###.##......###......##.#######.#.#.#..#..##.....#...#######.#.#...######.###.#.#.###...#.#####.###..##..####.#.####.######.###.##.#...##..##.###.##.#.######.#.#.#...#.#.#.##..###..##.#.##.....#.##.#.###.##.#######.#.##.###........#.######.####..#.#.######...######..##.#.##.#.#.##...##.#..#.###.#.##..##..#.#..##.........#######.##..#.##..######..##...###.##..#####.#..#.#..##.####.###..#.#...#.##...##.####.#.##..#.#######.##.####.######..#.####..#..##..##......######.####.##.##....#..##...##.####..#...##.#..##....#......#
########..###.#####.#.#.#..#.....##.#..##...###....#.#.###.##.#.##......#.#.#.#.###.#.#.##..#.........#########..#......##.##.####.####..#.#####..####.#..##.##########.###..##.###.#.........#.####........#######.##.....#.##....#.###.....##...........####..###.##..#####.###.#..#..##...#...#########.####.....##..#.#######.....#.######.#######.######.#.#.#.#.#.##.##..#####.###..###......###.........##.#.......###.#.#.....#.##..###.###...##..##.#..#.####.#.#....##...##.##....#.##....###.###...#..##.#.##.##.#..#####.#....#.##..##.#..###..####.##########...##......##..##.#.....####..#.###.###.#.##.#.#..#.###..#.####.###.###..##.#...########.#.##.##..#..#######.##.###..#####.#.###..##.##..#.##.##.#..##.#..#..##...###.###.##..#..#.#.##.##.###...#..#........#.###.#.#.##.##.###.##..##.###.#.#...#.####..##.###.##..######..#.###.##....##..#.##.###.##
#.#.#.##.##...#.##..#.####.#####.##.##.##.####..#.######.#.##.#######.#.....######......###.###.#.#.#..##.######.###.##.##.........#..##.####....##..#.##.#..##..#..#.#..###.#...##...#.#.#.#......########..##.#...######...####.##..####.########.#.##.###.##.#.#..#.##.###.#.#.#.##.#####.###....##..........##.###.##..##...#.#####..#.#....#...######.#..................##.....#.##...#####.##...######.###.###.###.##......###....##.##..###.###..##....##..#.########.##.####..####.#.#..##.##..#.###.#.###.#.#...#.#.##.##..#.##.#..##.#..##.#.##.##.....#..###...#########.##.##..#.#####.##.##...#.##....##...##...#.##.#...##.##...##.##....####..###..####..##.#.###..##..#....##..#.##.....##.#...##....#.##...##....##.##..#......######.#.##.#.#.........#.##.##.#.##.##.#.###.#.....#.#.#....#######.#...###..#.#.##...#...##...#.###.#.########.##..#####.#.####
#......#.####.#.########.#........#.#..#####.######.#.##.......#.#.#####.#.##..#...####...#.#.########.##.#.......####...##.######.#.##...#.####.###.#.##.##..##.##.....##...##.###########.##.###.....##.##.#..###........#.......##.#..#.#...##...####.#........#.##.#.............###.#...#.#.##....###.##.#.#...#...##..###.#...###.##...##.###..###...###.##.##.#.#.##.#..#####.#.##.###.....#######.##..##...#####...#####.##...#.##...##.#.#..##.######..##....#.#.##...#..#.#.##.##...#####.###...##..#.##..#.#.#......#.###.#.#####......##....#...###.###.##.###...##.##.#.##.##.##.#.#.#.....###.#..##.####.####.###.#....####..###.##....#####.##.#.##..#.#.###.......####...####..##..##.####..#.###..####..###..###.###....####.####.##.#........#.###.#######...######.......##.###.###.#...#.###.##.#.##.##.#.##.#.##.###.###..#...#.#.#..#.#.#....##.#.#.#....#.#
##.#.#....###.#.#.##.#.....#.####.#.#.##.##..###.##.#.####.#.#...#..##.#######...####.###.#.#.##..##.#.#....###.#...####..###........###.##..##..#...........##.....###.####.#...#.#...##....#####.#.#.....#.#.##...#.#.##.#.####.###.#.######..######.#.########...##.#####.#.#.#.#..##.###.#.#######.#....#######.#.####.##...##.##....##.##......##.###.#....##############...#.#........#####.#.#.#....##..#.###.#.###..##.########..#.###..#.##.##...##.#.##..####......#.#.##.#.#..####.#.#.......#..##...#..##.#######.##.#.#...#.##..##.#######.#.###....##..#...#.####....#..#.##.##.#.#.####.##.#.##.##.###..##...###.##.###.#..##...####.####...##.#..#.##.#.....#####..##..#.##.##..##.....#.#.##.##..##....##.##..##.#.#.####.##...#...#.#.##.##.##...#..#.#.#######.#.#########..#...#.#.#.###......#.#.##.##.#.......#...#.#...###.##...##.#.#.###.##........####.#
#..########.#...#.##.#####.#.##...........##.#.#.##...#..#.###.#...##........##.###..............##..#.#.##########....##..#########.#.#..##..##.#########.#.###.#.##....###.##.##.###....#.##.....#.#.#.#.....###############.##.##..#..##.#..###.##.....###.#.#.###..#..###########..#.#.....#....#####.#.#.......#..#....###.##.#..#.###..######.#..##..##.####.##..##.##.###...###.####..#.#..#...####.#..##.#......#..###.##.#..#..##...##.#..#....###..#..##.##.######.#....#.#.##...#......####.########.##.##.##.#.....#.#.##.##..####....##.......####.####.##.##....#.##...##.##.##...#.#.##..#.#..#.#..#.##..##.##...##.##..#.#####..##...#.##.##..##.#.##.#.#######.####..##..#..##.##.#####.#.##..##..###.##.....##........#...###.#.###.#..#..#....#.##........##......##.#...##.###.#.......########.#.#..#..#.#######.###.#.###.######..#.....##..#..##.#.#...##.#
##.###....#...#...##.#.#####.############.##.#...####.##.#..####.#..########.####...#.##.#####.#####.#.####...##.#####..#.##.#.#.##......###.##....##.##.###.#.#########.#.......#.#...#.##.########.######.##.#.#..#####.#.......###.#.##....##.#.#####.##.....#...##.#.##.##.....###...#####.####.#.#.###########.##.####.#.#.#....####.#######.#.#.####.#####.#....##.........#.######.##...##...###....##.##.######.##.#.#.#..##.##..##.##..##.###.##.##...##...#.#.#.#######.#....#.#.##########......##....#..#.##.####.##.......##..##..##.######.#..##....##.#..###.########..#.##..##.##.#..##...##...#.##..#.###..###.#...##.#..#.#..##..#.#.##.#..##.....#.#.#..#.....#.##.#####.##..##.#.#.#.#.##.##..##.#.###.##..#.########.#######.##....###.#.#.##..##.##.######.###.##.#.####.......##.#.#####.###...##.#.##.#.#####...#.#.#....#...##.#.##.####...#########....#
####.####...#.###......#.#####.###........##.###.#.#.....####.#..##..#.###....#############..#..#.#..#..#.###......#.##.#.##...#.#######.##...##.####.##.##..#.########..##.####.#.#######..#.#.###..#....####.#.#.##.#.#...###.#.....#..####.##.#..#.#...#####.##.###.#..#..####.##.###.#.###.#..#......#.#..#.....##..##......##.####...##.#..#...#.#.#..#.#.#.####....#.#.##.##....#.#..##.####.#######..#.##.###.......#.#.#.##..###.##.#..##....#.##.#..#..##.##.#....###....#.##.###...##..##.##.#########.##...##.#.#...#.#####.##.####..###.#..####..###.##..##...#...##...##.#.###..#.##...###.######.#..##...#...##.....###....##.##..####.#..#.##.#..#####.#.#.##.#####.#..#.##.....##....#.#.#..#..##....#...#####....##.#.#..#.#..##..##.####..#######.##.######.##..#####....##..###.#########..#...###.##.#..#.........###.....####.####....###.#..####.#.#..#.##.#
#.........#####...####.#.#.##..#...#.##.#..........#####..##....####.....####.#.#.......#.##...##.##...##.####.###....#...#..#....##......###.#...#.#..#..##.....#.##.##.####.#......##.##.##...#.#######.#......#.##...###.#####.###.#.##.......##.#.##.##..#...#.##....##.##..#.#..#.....#...##...##.#...##.#####..##.#######.#..##.##.##..##.###...#.##.#.#...##.###########.#..##.#.#.##...##..##.#..##...##.#.#######.#.#.#.#..##.#.##.##.#####........#####...#.###.##.####....###...#####.#..........##....#.###..#...#######...#.....##..##.##.#..#.##...##.####.##.####.#......#.##....#.#.##....#.#..#.##..###.######.#..###.####.###..##..#.##.##.##................##....##.#..#####..####.#.#.##.###.####.####..###.##......##...####....##.#####..#.####.#.#..#.#..##.#.#.######.###..##.#.#.##.##.##.#.##.#.##.#######.#.#.#####.#...#.#.#####..#.##.#......##..#.#
#.##.####.##.########..#....##.#.#.########.#.####.#.####.####.#########........#######...#..#.....##.##....#########.###.##.####..##.###...#.##.##.##.##.###.##......#...##..####.###...######...###.#.....#.##.#..###.#.###.##..###.#.########.#....##..##.##.##.#####.##..##.#.##.#####.###.###########.##...####....#.##.#..##.#...#.##.##...####...##.#.##.##..#.###.#.#.####.##.#.#..###.###.##.##.####.##.#.#.##........#.##.##...#..##..#..######.###.##..###.#...##..####.#..####...##..#####.########.#...#.##.###.##.#..###...#######..#.#..##.#.###.##...##..#...#.########.#.###.###.#######...##....##..##.##.#.####..##..##....#.##..##..#.##.#..##.#.#####.#####..####..#.###..#.###.#.#.#.#..##....##.##.##........#.##..#.###.#..####...##...##..#.###...##.##......#.###.####.#.###.#.#.##....##.#..#..........#####.#.........###...#...##.#..#...##.#..#.##.#
######....#...#.....##.####......#..##.#.#..#.#............########.##...##.###....#....#.##.##.##.....##.###.#...#.......####....#########.#.....#..#.#..#.#########...#.###.#.....####.##.###.#.....###.#.####...##...#.##..#####.#.#.#.#...##...##..##.#..##.....##.#.#..##..#.#...##..........###.#.....#.#.#..##.#...##.##.##...###.##..###......#..#.#.#...##..............###......##....##..#.#........#.#.#.######.##.#.#...###...####.#.##..##....#.###.##..###.##.##.#####..##..#####.......#.#..#.#####.#.##.#...##.##.#...#...##....##.##....#.#.#....#####.#.###..##...#.....#...##.##.#.##.######.###.##..##....##..##..#####.##..##.##.##..#...###.#....##.....##....##.#...#.##.#.#.#.#.#.#.##..####..#..########.########.#.#.##......#..###..##.#.##..###.....#.####...#.#.#..#...#.#.#..###.##..##...######.###.##....####.##...##.##.####...##.###########..#
##.#...#.####.####.##.......#.####.##......##.##.#.#.#.###....#.##.....#..########.######....#...##.##....##..###.###.###..######.##.#...#....##.##.##.##....#........#.#.#.#.###.#..##..##.....###.##########.##.#####.#..##.#.#.....#.#.###..#######....##.######.#....##.###...##.####.#.###.#...#.###.#.###.#.##..###.#...#.##.###.#.###.....#.##.##.....###..#####.##.#.###.######.#..####.##.##.##.#.###.#...#.#.#....#..#.##.##.###..#.#......##..##.#..#...##.........#.#...##..##..#..##.####.....##.##.##....#.###.....#.###.#########..#..####.....####.##.#..#.#.#.#####...#.#...###...#.#.##.#..###.##...##..####..##..##..##.#..#.##.....###...#...#.#.##..##.#.####.####.#.###..#.#.#.#........##...###...##.##.##....##.###........##.#.##..#..##.....##.#.##.#######.#.###.#...##.###.#...##...##.####.###...###.#.##.#####.#########.#..#..###..............#.##
#..##.#####........#..#####.#.##...##.####.##.##.#.#.######.#......##.#####.........##....#.##.#########.####.#.#.....####.#.#.#...#.###...####...#.##..####...##.##.####.#...##..##....######.##....##.##.##.......##..##.#....#####...#.#...##.....####.##..##....##.#.#...###.##....############.....###..#..#.#..##...##.##.#...#.....#####.#########.##..###...############.#.#######..#.#........#.###...###...#.#.#.###...##.....###...###.######.#####.##.######.####...###.###.##.##.######.#.###.#..##.#..##.#.####.####......#.##.#.##...###.##.#.###...#..##.#...#.##.####.#####.#.###.....##...##....##.####.##...###.##..##..##.#.##.###.....#.#######..#.##########..#.#.#...##.#.#.#.##.###.#....###.#.###..#..###.###..#.#.###.#.##..#..##...###.#.####...#.....##...#..##.###.....##.#.######.##.##...#.###..#..#.#.....#...#...##.#...##.##.#.###.##.#.########
##....#.#.#.#.##.#...##.....######.##.##....#.####.###......####.#.##.#...###.#.#.#..#.##.########........##....###.###....#...###.......#######.##.###.##.###########.##.###.##.######..##.##.#..##.##.......####.####..#.##.####.#..#...###..#####.###..##.#####.#####...#.#....##.###.#.##....#..#.#..###...##.####..#....##.###...##.##.##..#.##.#.#####.##.#.###..##.#.##...#.#..##.##.....##############.....###.#####...#....#.#...###......###...#.#.#.##.##...###..###.##.......#.#...#.#.#...#.####.##.#####...#.#...#.##.###.#..#.#.##.###......#...###...##..#.###..#.#....###.#.#...#.#.#####.######.##.##.#..##.##...###..##.#..#.....##.###.#.......#.##........##..##.....#..#.#.#.#......#.##.#####.....##.#.##.#.#.#.##.....##########..##.##.#.####...#...########...##...##.######.#...#.#......##.##.#.#.##.##.#.#####.###.###..#.###..##.....########..#.#.#
#..#.##...#####..##.####.#####.##...###..#.####....##########....#..#####.....#.####...#..##.##..########..####..#####..##.###.#####.#.#.#..........#.#.#...##...#..#.........#####.####..#.#####.#...#####.###.#..##.##.#.##.##.#.######.#.##..#.#..#.##..#..##......####.######.#...##.#..####.#######.#.###..#.#.#..#####..#.#...######...##.#......#.#.........###..#....###.#.##.#..######...#..##.##.#...###.##..##.######.####.###...######...###.#.#.#....#..###...##...###.####...#.###...###....#.#.##..##.###...##.##..#.#...#.##.#.##...######.###..####..##.#...##.#.##.###.#.....#####...##...#.#...#..##.#.##..####...#.##..##.#.##########.##.#.####..##.#.######.##..######...#.#.#.##.###..#..##...#####....##.#.#...##.######.#.##..##..####....##..#.#.#.....##.###..###.#.....##....#.#.###.####...#.#.#.....#.#.#.##...##.#.#.##.#.##.#..###..##.#.##.##.#.#
######..#..#.#####..#....#.....###.###..####.###.###.#.##.....##.#.###.#####.##.##.##.###.#...#.##.##.####.###..##.#.####............#.########.#.#...#.#.###..#.##.#########..##.....###.#..##.#####.##..####....##...#.#.##....#.#.#.#..#.#..##.##.#.###.#.#####.####.##..#.###.##.##..#.##....###.##........##.#.####.....##.##.###..####..########.#...#######.#.##.####.#........##..######.##.##...#.###.#....##.#...#.##..#....#####......#.###.....#.#.####.##.###..###.#.###.##.#.....###..###.###.#..##.##.#####.##.#..##.###.#..#.#.##.###..#######.##.##.###.#.###..#.####.....#.####.##.#####.##.###...##..#..##..#.###...##.##....###.#.#..#..#.#..#.#########.##....##.#.##.#####.#....#..##.########..###..#.##......####...........##.######.####....####.#.#####..##..##.#.###.#####.#####.#.#..#####...#.#.#####.#....#.###..#.#.##....#.#.########.#.##..#.#.#
###....###...#.##..##.########...####..##........##....######.#..#.#....#.....###..##########.........#......##.##.#..########.#.###.####.#.....#.#.#......#####.#...#.....#..#######..##.#.##..###...##.###.##.#....#......####.#.#.#.##.#.##.##.#........#.#.##...##.....##...#.#...##...#####.#......#.#.##........#..###.##.##...#.##.##.###.#.......#.####......#..####...######.##.##..........##.##...######.#....#.#..##.##.#.#.....####...#.###.#.....#.#..##..#..##.#.#..#...######.##.##..##..##.#.###.##.#..##.#....######..##.#.#.##.#.##....##.#..#.#..#.#....###.#.#..#######.#..#.#...####..#..##.#####...###.##.#.##.###.####.##.#.#.#.#######.##..#.#.#.#...####.............#.#.#####..#.....##...##.####.###.#.#......###.###.###..#.###...###.####.######..##.###.##....#....##.....##......##.#.##.##.#...#.#...##.......##...##.##............#....#.##.#.#
#.####.#...#......##..###......#..##..#######.##..##.#........#.#######.###.######.#.#.#.#..#########.######.......#.##..###...###.#####..####.##.########..#.#..###.#####.##..##.####......##.##.###.....#...#.##.#.#.####.#.#..#.#.#..#.#....##.########.#.#.###.#######.####.#.##.#####..#.#..######.#######.#####.######.#..#..###.##.....#..###########..######...##....#.#.........####.######.#...##.###.#.....######.##...#.#.########...#.#...####.####.#.####.##..#.#.##.##.###.##..##.#..###.###...##..#..#.##..##.#..#.##..##....#.##....###.##..##...##.....####.#.#.#.##...###.##.#.###..##..##.##...##.##.##...#....##.##...##...#.#.......########.##.#.#.###..####.####.#.#####.#.##.#####.########.#...##....#.###.#.############.##.#.#.#.###.........######.....#...#.##.###.####.#########.##..#.##.#....###.#.############..####..##.#.#.#.#####.####......#
#.#..###.#.##########.#...#.#.###.#..##.......#..#######.#.######...#.#.....#............#.##.######.........#.###......##.######..###.##...##..#.##.......##.##..#..##.......##..#.#######....##.#.#####.###.#############...##.#.#.##.#.#.##.....#.#.#............##..#...##.........####.#.##.#...#####.#.####.##.........##.##..#...#####.#.##.#..###.###...##.###.##.#.#####.######.#.#####.....#.####.##..#####..##.##....##########...#####.#.#####..##.#.#...##..##......#.##.##..###..#.##.#...#.#.#####.##.#..##.##.####.#..###.####..##.#.#...#..##..#.######..##....#.#..###.#....#.#.#.##..#.##...##.##..##..###.#.####..###.##..#.#.#.#######.#..##...#.#.#.##..##.#.....#####...#....#...#.#####.#.#....#######.....#.#.##.......###....#.#....##.#########.#.##.#####.######.##...#.#.##.##..#.....##....#.##..#.........#.....#.####..#######.#.........##.###.##
#.##.########..#...#..###########...##..###.#.#.##.......#####.##.#...###.########.#####...#.........##.#.##.###...#.##..#.##.#.##.#.#..###....####..#.#.#....###.##..#######.###...#.#..#####.##.#.##.....##.##..#.#.....##.##....#.##.#.######.#.......###.######..##.##.#########.###..#...##.##.##.##......#...##.######.....##...#####...#.##.##......####.##.#.#..#####.#...##.##..........#.#.....#...##...##..##...#.#####.##....###.##.##....##.##.##...#.#####....#.##...#...##...##...#..###.#....##...#..#.###.##..##..##.##...#.#.###.#####.##.###.###.##.##..##.###.#.##.#.####.#.....##.##..###..#.##.##..##.....##.##..#..###.###........##...##..###.#...###.##.###.#.##.###.##.####.###..##.#.#.##.#.#..###..#.###.#..#.#######.###.##...####..#...#..#..#.#....#.#.#.##......###.......##...###.#####.#..####.#####.###.#####..#.##.#.##.##############....#.##
#.##....#.#.##...#...##....#.#.#..#..#####..#.#####.#.####......#####.....##.......#.....#...#.#.#.#.##.####.#...#.#..##....#..........##.######.#######.####.#.#.##.##.#####...###...##...............##.##...##.....###.##.#..##........##.#.########.########....##...#..##.##.##.#.##.###.##.#..##..######.##.##########.###.#..###.#.###.#.#...##.#.#.............###.##.#####.....#.###.######.#####.######....#####.####..#..####.....#.....##....#..##.###.##..###########.##.##..######...##.#.#.#######.##.#.##..##.####.#..#..#.#.#.##...##.#.#.......#..##..#.###..##.#.##.#.##.#.#.#####...#.##.##.#..#..##.#..#####..###.#.##....#..#.######..#####..#..#.###....#..##.####..#..............##..#.#..#.###.##.#.#########...####.#..###..##.##.###.#.###.##.##.#.####.#....##.##.##...##.#######.#.###.#.....####...##.####..#.#.##.#.#........#####...#.#.##.#.#..#
#..####.#.#..###.##.######.......###.#.#.######..#######...##.####.##.##.######.########.##.####.#.#..###....#.#.#.#.####.#.########.#.##.##.##...##..#####...#.#.#...........###.##.######.##.##.#.####.....####.###.#........#########.###....##.##...#...#....##.####...##..........##...#.##.##..#.##.#.##.#....##.......#...##.#.#.#.#...#.##.########.##.#######.#.#.#...########.#.#....##.....###..##...####.##.##..#.##.#.##.###.##...#########.##.##..##....##.####..........##.#.##.###.#.........##...#..#..##.#....##.#.##.####.#..###.##...#######.##..##.#.#.#.##..#.##....#.#.#.#.##..###..#..#.##.#.##..##.#.#.##........###.##.####....##...#.##.#.##..####.##.##...#.##.#.###.#.#.####..##.#.#.##..##...........###..#....#...##...###.#....#.#.#....#.##.#.#..#.#.########.###.######..##.....#..##.##.#....###...#.##.#.#.##.#...########.#...#.....##.####.#
##.#.##.#...##...####.#....###.###...#.#..##.###.#.#.#.######.#.#..#####.#......#...##...##.#....#.#########.#########....#...#.#.####....##.####.###.#.....#.....##.##.#.###..#..##...############.########....#######.#.#.#######.##.#.#.###.##..########.######.....###..#####.##.#..###....#..##...........##.######.#.###.#......#...###...#....#############.........##.##..#####.###.#.######.##.##..##.###....#.#..##.##.#.#...#######.##............##..#.####.....##.#.#####.##.#.#...##.####.#########.##.##.##.##.###..#.##.#.#....####..#.#......#..###....#......##.#..####.#.#.....##.#####.##.#.##.#.##.###......########.#......#.#..#######.#.##...#..##..#..#..##.##........###.#...######.#.#....#####.##.####...#########.######.......####.#...##...##.....##.#.##.#.#....##..#.#.#.####.####.##...###.##.#...###.##.#.#......#.....##.#...#.#.#####.....#.#
#.........#..#####......##.#...#...#.#...##.............##....#...##.#.##########.#....#.#..##.#.#.#..#.#....#####.....#.####..........##..........#....###.#.###..###..###.##.##.###.##...#.###.#..#...##...#####...#########..##.......#.##..###..#.##.##.#.#.##.###...##.##.########.#.####...########.####.#...#.#.#####...##.#####.#######.##.###.#.#.#.###.######.####...##.#...##########.....##..##.##.##..##.#.#.##..##...##.##.#.#.#..#.######.#.#..#.##.#..####.##..###.....##.#.###.##......#.##...##.#......#..#..###.#.#..#.##.####.##.######.#.##.#.####.#.#######.#.###.#.#...#.####.##.##..#.#..#.#..#.#...###.##.##..#....##.#.....###.#.#..#.##.#.#.###.##.##.##.....##.#.#...#######.#.#....#.####.#....#....###..##...###...#.#..##.#.##.##...#..#.#.##.###.##.#..#.#.###.###.##.#...#.##.##.#..#.####...###.####..#..#.#.########.####.#.#########...#.#.###
############..#.#####.###..#.#####.#####..##.##########..####.###.#......###...#####.#.#.############...######.#.##.######.######.#.##.####.###.##...#.##.#######.#######..........##.####.......######..###.#.#.###....##...##.#..##.##...###...##.#.#..##.#.#..######.##..##..###...#.#.#.####..#.#.#...#......#.#....#.#..####.#.##..#.#..#..##.##............#.#.....#.###.##.###.##..##.#.#####..##.##.##.#..###.#....##....####.##.#.....#####.#####.##...##...##.....########.#..#.....#.###.###.#.##.###..######.##.##.#.#.#.##.#.##..##......#..##.#....#...##......###..#.##..#.##.####....#...##...##...#.##.#.#######...##.##.######.##.##.#.#.#.##.##.###.##..##....##.###..##########.#......##.#.....##.#.##.##.#####.#####.#.#.###.#.########....###########.######...##.#.##..#.#.#..#.###.#.......##.##.#.#.###..#.##.#.##.#.......######......###...##.########
##.#.###.#...##..##.###########.####...##.####.#.#..#...###....##.####.###.###.#.#.#.###########....###.#.####.#.####.......###...######....##..#..#.###.....#.....#.#.####.######.##.#.###.#.##..##.###.#.#...#.#####.##..#......########...###......##.##...#.###..#..###..#.##.###...#.#.#.##.##.#.##########.######...####.......##.#.##.##.#..####.########.#.####.##..##.#..##..###.#....##.###.##.#..#..#####....####..##..##.....##.##.#.##.....##.####..#.####.#.#..##...#####.#####.#.#.####.........##.#.#.....#.##.......##...##.########.#.###.####.###.##.####.#.##.#..##.#.#..#.#####.#.######..###......#.#.#..###.##.....#.#.#######..#.#...##..#.##..###.##.#####.####.##.#.#.##....###########.####.#..#..#...#.###.##..#.#..##....#.#.#.#.####...#.#.##....##.###.##.#....##.....##.##..#.####.##.......###.#.##.#....##.#.#.#.###.##.#.######.###.#....#.##.#
#....#.#.###....###..##.###.#....#####....#.#....##.###.##..##.##.#.....#..##......#####....##.####..............#.#..#####.....#.##.###.##.#..#############.####.##...#.######.#..##.#.#.#######.#..........###........###############.###.#########.##.####.#.#.##.##.#.##.#.#..#.###...............#.##.#.#.#..##.##.##########.#..#.#.##.##.##..#.###..##.#....#.#..###.##.##.###.#.....#.##..#......##.#.##.#.##.#.#.#..##..#######.####..#.#..#.#.####.##.##..#.######..##.##.#...##......#..#.##.########..#.#####....###.##.##..#..#.##.#.#.#.#.#.###.##.##........#.#.#....###.#.##.#.#.#.#....##.##.##.#.######.#.#.##.#.####.#......##...##...#.####.##..#.##.#.............###..#....##.#####.##.#.#...##..#.###.#.###..##..##.#.##..#.##.#.#.#.#...#..###.#....####.......#.###.##..##.##...##.#.########.#.#####.....#.#.####..#.#####....#.#.##.###..##...##......#
##.#.....#.###.##.##....#.#.###.##.#.####...####.#.......#####.##.#####.#.########..##.####.#..##.##.#.##.##.#.#...####.....#.#.####.....#######.##.##.###.........###.#.#......##.##.#.#.##.##...##########...#######.#####.##.##.##.#......#.##.........#.#.#...##...........##...######.#.###.#.##.#..........##...#.###..#..#..##...#.##.#...##...###.##..#.##.#.##.#.#.#..##.#.#.#######.###.#.#.##..#...##.#.####.#...###.###.##.#.#..#.##...##.#..##......#.##.##.#...##..#....#.#######.##.#.##...##.#.##...#.#.##.#.#####...##.##....#.#.....#...##..#...##.#########.##.#.#...#.##.....#.##.###..#..##...#.###.......#.#..#.###.######..#..##.##..#.#.##.##.##.#.######.##.#..##.##.#.##...#..#.##.#.##.####.#...#####.#.##..##..#.##.##.####.#.#.#.###.##.#...#####.####.##.#.##..##.#######.##.......##....###.#...#.###.#.##.##....#.#..####.#..#...##.##.#######.#.#
#####.##.#......#..##.#......##.##.#.#..###..##....#.#.#..##......###.......#....##.....#.#.##.......#.#..##.###.#...#####.##.###..##.#.##.#.##........#.#########.##..#.###.##.....#......#.####.##.....####.##.#.##...#.............######.#..###.#.###.#...#.####.#######.####.###..##..#####.####.#########.#####.#.#.##.##.#.#####......#.###..###....##.###.........#.#.##..#.#.#.#.#....#..#######.#.###..#.#.#....#.#.####.....#.#.#######..####..#.#.##....#.#..###.###...####..##..........##.####....###.#.#.#..###..#..########.#...#.#.#...#####...####.##...#.#..####.###.#....#.###.##...##.##.####.#.#.######.##.#.##.##....##.#.######....##.#..#.##..#.#.....##########.....###..#...##.##.#...........#..#.##.#.###..##.#..#......##........#...#.###.#.##..##.###....###..#..#.#.#...#.###########..#..#.#.#####.#.....##.###.#.#####.#.##.###..#......#.#####
#.#.####.#####.##.##########.##.#....#.##.##..##.###.####..##.#.#.....#####.##.#..#####......#####.######.#..#######.#......######....#.#.......######.....##....#..##....####..###.###.##...#.#...#####.#..........###.####.#.######.##.##..#.##...#.#.....#...#..#####.#....##....##..####...####...#.##.#.##..#.#....#.....#.####.###.###.#.#.#.##.###.###.###.#######.#.#..##.........####...###.#........##...#.##.###.#.##.#.#.#......##.###.###.#.########.###.##..##..##.#####..###.########.##..#.###.####.....##..###.##..####.#..###########..#..###.#.#.....###.#.##.#......#.########.##.###..#....##.#.#.#.##......#.#..##.####....#.##.#.####....##.##.##...#.#..###.#.#.##.#.#####.#####...#.##.##.####.###.........##.##..##.#.##.#####.#.#####.###.###......###..###.#...##.#.##...###..........###..##.##.#####.#...#.#.#.....................#.##.######..#.##
#.........##.#.##.##.####.......####.#.#...##.############..#######.#.#......####...########..#..###......####.##.##...#.#.##......#.######.#.###....#####..####.##.####.##.#..####..####..#.....#.........###.#.##.....##...###..........##.#....######.##.###.#.###....###.####.#####.######.##.###.........##...####.#####.........######.......##..##.##......#...#.......#########.###.###.###..######.####.#......#####.##.######.#.#.##.#.####..#.#.#.#.....##.###.#..##..#...##.#.####.##....###...##...#.#####..##..#..###..##..##..#..##.#####.#.##.#.#...##.####....#.######.#..##.##...##.#.##.####.#........##.######.##.##......####.......##..#.##...#.###.####.##.#...#.#..#.##.#......##.##..####....#..##.###.#.#.##..#.##....##.....###...###.#.#.#.##.#####.#.##.#.#####..#....####..###.#.####.##.##.....##.#.#.###.#.#.##.#########.#.#.##.......#...#.##..#
##.######.#..#.##.#...#.###.#.#..........#....#.#..###.#.##..#.#.#..########....###.#.###.###.##..######.##..........#.###.##.########.#.##.######.#..#####..###......##.##.####....##.#..###########.#.##.#...#.####.#....######.##.#.##......##...##...#..##....#.####.#.#..#.#.#.##..#....#.##.#.#.#######..##.###.#.##.#####.#.##...#..#.##.######.#..###.#######.#######..#...####.#.#...#.#.#.##.......#.########...##...#.##.#.#####.##.#..#.##.#.#.#.#####.##..##.##..######....#.##.#..####.#.##.#####.#...##..####...##...##..##..##.##...#.#..#.#....###..#.##.#.####..##..#.#.##...##.###.#.#..###....#.######....##...##..##.#####....########.#####.###.#.#.#.####....###...##......###.##...#.###...#.############.#.#..##..###.####.####...###.....#.#.##...##..#.##....#..##...####..##.#####..##..#..##.#####..#.#...#.###.####....#..#########.####...###..##.#
####......##.#.##.###.#..###########.#.#.####.#.#.##.....###.......####...##.####.........#.#..##..###.#..##.#.####.########..#.............##..#####.....##.....#.##....##.#.#####.##.####.#.....#####.####.###.#....##.#.#......###########.##..#.####.####..##........#.##.#.#.#..##.####....#.#.###..##.##.##.......##.#.#.########.##.#.#####.###.#.##.####....#.........##.###......###.....#.#######.##.##.....#.#####.##.##.#.#..#.......##........#..##.#.##.##...#.##.##.##.#......#.##.........#.##..##.##..##.####.##.#..##..##..#..###.#.##...####.#.#.####.....####..##...#.##.####.#.#.#.#.##.###.####.###..#######....##.....##.#####...##....##...##..........##.#####.######.###########.#.##..#####.#.#.##..#######..#.##.#.#.#####.###.....###...#.##.###..##.##.####.#####.#.###.#......######.##.....#####.....######.......####.###.#.##.#....#.#.....##..#
#########......##.##..#.##.#.##.##...#.#.#.........####.##.#####.####.###.....#.####.####.....####.#...##.#######...##....#############.##.####.#.#.##.##....##.##.##.##..#...#.#......#....#.###....####.#...#####.#.#..#.##.#.###.#...#####.###.###....#....###.##.###...#......#.##..##.####.#.....##.......###.##.#....#.#.####.#.#.##.....#.#..#....##..#.####.#########.##.#.#####.##.##.##.#..##.###.#..######.#...#.#.##.#..#.##...##.#.##########...##.....#.####.#....##..########.#..#########....##....##.###..#....####.###.###.#.##......###.###......#.#..#.#...###..###.#.##..#.#.#.#......#.#.#.#.##.#.##.#..##.####.###.#####.......#######.#..#.##.###########..##.#.....####.....##.#....##.###.#..#....##..##.#.##.#.#........##...#..#####.#####.##.#.##.##.##...##.##..#....##.##.#####..#.#.#..##.##..#..#.#....#.#.###.#..........#....#.##.#.#.#####..##
##.#.#..######.#..###.#.#..#....##.#.#.##########.####......#.#####.#.######.##.##.####.#####..#.....######.#.#.###..####..###..........##.##..........#..##.#...###...##...#.#.######.#.##.########........#..###..#.##.#.########...###...#..##.##..#########.#..#######.######.#..##....#....#.############.#.#######.#.....#.#....#.#####.##.##.##.#####...##......#.####......##.......####....##..#.#...##......#.###.#.##.##...###.##..#...#.##.#####.######.#..##..#.######..##.#......##.#.#...###.#####.##..#.##.###.###.#.#.#.#.#....######.#.#...######...#.########.##..##....##.#.#...####.###...#.#.#..#.##...##..#.#...##.##..#.#######..###..#.#####..#.##.#.##..###.#.#####..##.####..###.##..##..#.##.####..##..#.#......#.#########.##........#.##.##....#..#.####.##..##.#.####..##...#.##.#...#.##..##.##.#########.#..####.#.########.###########.....##..#
#....##.#####....##.#...##.##.#.####.#.#...........#.######....##.#.#.#.#..........##.#.##.###.###.#.#.#.#..#.#...####..##.#.#.##.#.#.#..######.##.######.#..##.##...###..###...#.###..####.##...###############.####.#..###...#....#..##.#...##...#.##...#.......##.......#.#.#....######.####...##..##.#.#...#..#.##.###.#.#...#.##....##...##.##....###.###....##.#........##.#####.####.#..####..##.#...#..###.##....##....#.##.#..##########...##.#.#..........##..##.#.#.##.##....####.#.##.#.##.####.#.#....##.#.##.##..#.#.....#.#.###.##.##.#.#.###.##.###.###.#..####..###..###.##......###......###.#...##.#.####..##.#.###.#.....##......#..##.##.#.....#.##..#.#.###.##..#.#.###.##...####.#.#.##.##..##.#.....##..##.#.#.#########.##.#.#.##.######......##.####.##.#.##.##.###...##.##.##.#.#..#.###.#..#####.#.....##.#.#.#.##.####...................###.######.#
###.##........##......#....####...##.##########.##...###.#####.##.......#########.##.......#.#.#####.#.#.##.#.#.####.##.#..#...##.#.#.#.##..#.#######.....##.######.##.########.#...#.##..#..###.#..#.#.#.#####..#.###########.######.#####.#############.#.#.#.#.########.......#########.#.#..####.##......#...##.##.#########...###.#.####.#..####.##.#..####.######.#.#.####..##.####.#.#.####..###...#.##..########..####....####.#.#.#.##...###....########.#....##....#.##..####.#.####.......#........####.##.#.#..###.#.###.#.....##...#.#....#.##..........##.#.##....##.##......##.##########.#####...###..#.#.#..###....##...######.######.###.#....##.##.##.##....##.###.......#.#..#.#.##.#.......##..#.#.######.##....#.##...##....#...#.#..#.##.##.######.#.##.##....#.##.##..###...#.##.####...##..#.##.##....#.###....#.#.......#####################.###.###..#
#......#####.##..####.##.#..##..######...###.#######........##.##.#.#.#.#............#.###...#.#..#....#.##.#...#.#...#.##.###.#..#########...##.##.#.#.#.####.#....#.............#....##...##...##.........#.##.#.#..###..#.....###..##......#.##..#.....#########.#.#.########...#.##......##..##..###.###.##.###..#.#.###..#..#.#.#.#......##..##..##...##.#####.#.########.##.##..#.....#.##.##...##.######..##..#.#.##.##.#####.#...#.#.#..#...####.#.#..##..#.##.###.#....#.##....#.#..##.####.#######.##.#.....#.#.##...#...######.####.##.####....###.#.####.##.#..####.#..#..#.#.###.##.....##...##.##.###..##...#.##.###.#####..###....#.##..#.#.#.#.######.##.###.#..#.#.#.###.#...#.####....####.####..##.#.#.##.#.##.##.#..#.####.####.###.##.#..#.#####.##..#.....####.#.##..##...#.#.......##..#####....#..#.######.#.##.....#.#######.####....###..###..##...#..##
##.##.###.########....##.##..##.###.####..........#######.#....########.###.#.##.#######.###.#.##.####.#.#..###.#.###.#.#....#######.#.#..###....##.#####..##..#########.########.####..###..###.#######.##......#.#.##.##.#####.#.##.#####.###.###.#####.###....##.#.#.#.#####..###..######..#.####..#####..#....##.#...#.##...####...######....####.####.#...##.#.#.##.#......#..##.#####...#..#..#.####.#.###.###...#.#...#.#.##....###.#.#####.##......##....####...#####.###..####.#...##..#......#...#.##.#####.#.#..###...####......##..##.##...#.##.######........##.#..##.##.######.....#######.##..##.....#####.#....#.#..#.###...#.####..##.#.#.#.#...##.#.##.#.#.##.#.....#########.#.#..#####.#....##..#.#.#..#...##..###.##..#.#.##.#.#.#.#..#.##.#.#...###...#.#.#....#.##.###.###.##.##.#..##.#.##..#.##.##.#.##......##.#.########......#.####.##.#.##.####.#.###
#...###...#.#.##############..#.#.#.#.###########..#.#.#######.#.#.#.#...#########.##.#..............#.#.##.###...##....##.#####.....#...##.###.##....########.#.####....#........####.##.##.....#.#.##..#..#.##.....##.#..#.#.#....#.#.#.#####..##.##.#..#.####......#.#.#...##..###.##.#.##....####..##.#.#####.#....#....########.#####..####.##...#.#..##.##..#.#....#.#.##...###.#.#.###.##.##.###.#..#.#....##.#.#...###.#.#####........##.#.##.####..######.##.#.#.##...##.##....###.######.#.#...#...##..##.#.#...##.##.####..#.##.###.##..###.#..#.##.#.#######.##....###.#...#.#.##.####.#.##...##..##.####.##..#.##.#.##....##.###.#.#..##..#.#.#.######.#.#..#....#.#.#####...####....##...#.#.#.######.#.#.#.##.####.###.....##.#.##.#.#.#.##...#..#...###.#.########.#....#.#.#......##########.#.#..####........##.##########......##.#####....#.#..#.##.#.##.....#
##.##...#..........###..#####.....#.#.#.#.......##.....................#..##.##.#.......##.##.#.##.#......#.#.###..#.##.##..##.#####.###.........##.###.##.......#..###.##.###.#.##....#..####.#.#.#.##.###.########.##.##.#.....##........#..#.##.....##.#.#.#..####.#.#.###....##.#..#.#..####..#.##....###.#.....##.###.##..#.#.#####.#.##.#...###.....##..###...#.##.#######.##.#.#..............#..##.#.###.#####.###..##.#..##.########.##.#..####.#.####....#..#....##.##...####......##..#########.#..##.#....#.###..##....#######..#...##.#.####.........##.#.#..#.####...##.##...##...##.#.###.####.##.......##....###..###.###.##......####.#.#....##.#....##...######.##.#..###....#.##..###.#....#.##............#.#.#.##.#####...##.#.#.#.####...##.###.#....#.#.#####.####.#.#.#######...####..#...##.###.###.#.....####.#.##.######.....##.####...##.##...#..#.###
#######.##.#.#####.#.##..##...#.#.......#######....#.#.#######.#.###.#.##.......#########################.#.#.#.#.#####.#..##...###....#########.....#.....#####.##......####..#.#####.#.##.####...#.##########.#............##.##..######.##....#####.#........####..........##.##.##...#.##..##.#.#####.##....##.###.#....##.#.#.###.#........#..######..##..####...#...#.#..#.##.#.##.##.##.##.##.#.###.#.#....#.#..#.#.##....##...#.#.#...##.##..#......#.####.#######.##..##.##.####.######..#.#.#.#####..#.#.##.#.###.##..#####..#.##...###.....###########..#.#.##.#..#.###.#..##.####.###....#.#.####.#..##########.###..###..##.....###.##.##.#.#.#####...#.#####....##...#...##.##.#.#..##...#.###.##..#.#.#.#.#.#.##........##..###.#.........##..####.##..###.##.#..#.#...###.#.......##..###..##.###....#.#..########.........#.##.#.#.######.#.##.####..###...##...#
####.#######.#..........#####.###.###.#...#.#.###.#######.###..###.###.########....###.##.#.##.##.#................##.....####.##.##.###...#..######.####.##......#.#.#.###.#.####..........#.####.#.#.#.#.#......#.#.#.##.####.##.###.###.#####...##....#.####.##.######.##.##......###.#.##.##..#.#.#....###.#####.######..#.#.#.#.#.#######.#####.####.###.##.########.#.##...##.#.#############....#.#.#.###.##.##.#...#..#.#####.#.#.###.##.###.##.#.#...#.#..####.......##...#.#.....##.###...#.#..##.##...###....#.#....##.#.##......#.#######..##.####.##.##....#...##.##..##..#.#.#..#####.##.#..##..##..###..##...#.#.##.##....#.#.#.####..#...........######..#.####..###.###.....###.##..###.##...#.##.############.####.#..#.##.#.##.#.#.##.###..##...##..##......##.#.###...#.#######..##.#.##....##.###.#.##.#.####.#########.........##..#.#.#...##..##.#.########
##.#..###.#############..##.#############.....#####.....#.#.#####..##...####.#..##.#..............####.##.#.#.##.#..#####.#.##.#.......###.##.#.#.#..#.#######.##...#.###.#.###.###########................###.##.#####.####.....###.........####.##..##.####.###......#..#########.##.........##...#.###.##.#.#..#..##...##...#.#.#.#.#.##....#.##.........#.##.#.#.##.#....###.#.....##.#...#..###.#.....#..#.....##.###...####.....#...#.#.#...##.######.#.....##..####.#####.###.###.#.##.#.###.#.##.##..###..#####.#.##.####....######.###.##.#..##..........#####...###...##....##...#.##.#......##.#..##..##...#####.#......##.##.#####..#.##...##.########.##.##.#.##.#.##.#.#.#.###..######..##....###.#.....#.#..###...########..#.#.##.########.#.#####..#.####.##.##..#.#.###.......#.##..#.#..###.##...#............#.........#.##.#.####..##.#.#.#....###.#.....#..#
#..#.##...#.#.#.........###..##.##...#....#.#.#.#...###.....#.#.##.######......##....###.###.##.#......##.#.#..####.......#.#..##.####..........#.##....##.##..#..#.#.##.....##....####.....#.#.#.#.#.####.#....#######..####.####...#.#.#.#....#.##.######....#..##.#...##.........########.######....##......##...#####..###.....#......####.#..##.##.###.#.##......#.###.##...#####.#..###...##.###.###.##.#####.##.####.##..#####.###.#.....###...##.##.#####..#.##.##.##.#...##...###.#.....##.#..#.###.###.##.###.#.#..##.###.##...##..#..##.##.###########.#.#.##.##.##.######....###.##.###.#####.##.#..####.##.#.#...###.#####...#..##...##.#..####...###..#..#.#....#.##........###..##....######.###.#.#####...##.#.###.##...##.#....#..#.##.#..#..##.#.##.#.##..#####.#.....##.####.#..#.##...##....###.##.##############.##.###.######..##..#.#...#.####.#...#####.##
##....###.#.....##.#.##.#.##.....###.###.####...#########.#..........##.###.##..####.##..#...##.##.#.#.#..#.#####.###.#.#.....#####..#.########.#.#####.##.#..#####.###..#.#..####......#.#.#.#.#.#.#.#......##.###.#.####.#####.###.#####.##.#......##.#.####...#####.#.#..#.#.###..##.......##..##.#######.######.#..###...#####.#####.####..##.#######......######.#.#....###.....#.#.##...###...#####..##.#.#.#.#....##....##......##.####.######.#..####.####....#.....#.###..###.#...####.##..##.#.#.#...#.##.....#...##..##...###.##.##.###.#...###.#........#.##..#.#....##...######..#.##..#.##..#..##.#.##.##.#.###..####.###.###.#####....######..###.##.#.##.#.##...####.####...########.##..#..#.#.#.##.##.###..#..##..#.####.####...##..#.#.##.##..#.##....##..#.#..####.###....####.#..#.#.#..####...#...#####.##.####..#......######....##...######.#...#.#.#.#..#
###.#####.###.######.#....####.#..#..#####.#..#...##..#.##########.####.#.#.#..##.....######.#..#########.###.........#######.#.##..####.###....#.#.#.#..#.####.########.#.##......#.#.##.#.#.#.###.#####.#######.....##...#.#...#.#.##.....#####.##.##....##..#.##.##.#.#.#########.########....##..###..######......##.###.......###....#.##.#...##...###.#.####.#..#.####.#.###.#...#.####.#.###...#.##............####..#.#####.#.##...###....#.#.##..##.....####.###.#.#.##..##...###.#.##..##.##.#...###.#..#####.#.#####..##.##...##..#.##..##.##.....######......##...#######.#.##.#.##..##....##.##.##.#.....#.#..##.##.##......##..#.#..#####...##.##............######.#....########.###...##.##...#.#.........##...##..##.##....##..###..##.#.....##.#....######...##..#.#.#.#.##..##....##.####....###...#.............#.##.####...#.###.#..###....#.#.##.####.#.#.##
#.#.#.#...#.#####....##.#...#####.##.#.##....###.####...###....#....##..#.##########.####.#..##.#...........##.##.#######.#.#.#.###.#.##.#.####...#.#.##...#.#....###.########.#.#.###.#..#.###.#....##...##...######....#.....#.....#####.###....#...####....####.....###.#.#.#......##.#######.###.#.#.##.#..######.#..#.####.##.#.####...##.#.#####.##.#.####.#.##.#.#.......######.#...##.#..####.#....########.###....#####.####.###.##...####.#.##.##..#.#.#......###.#.###.###.####...###..#.#..###.##....##.....#.###...##..#..###..##.#..##...####.##....######.###.##....##...#.......##..##.##..#.##...##.##.#.##...#.#####.####.##...####.#.####.#..##.#####.#..##..#...##........#...###..#.##.###.#.#.####.#####..##..#..#.######.###.##....#.#.#..#.####.##.#.#####.........###..##.###..##.#.####...#####.#.#.#######..#....#####..#..####.#.####.#.##.#.##.#....#
#...#.###.#..##.#.##.#####.##.#.#.##.#..######.#.######.#...##.####.###....#.#..######......########.##############.............#.#.#.#......####.#.#..###.#.##.#...#.#.#.##.#######...##.#.#...#######.#.#..#........########.##.#.##.....##..####.###....##.#.#####.##...#...######.#.....##............#.##.#.###..##...######.........#......##.#........##....##.#.#.#####.#.#.#..##.##..#.##..#.######.##.......####.#.#.#.#.#....#.####..##..#.##.#######.######.##.....##..##..#.##.##.##.#.#.##....#.##.######.#.#.###..##.#.##.#.##..##..#.#....######.####.....##.##.#######.#.########.#######...#..#..####.#.#..#....##.#.###...###.##.#....##..#.######..#.##..##.#.#############.###.#.##.##...#.#.###.##.##....##..##.##..#.#.#......##.###.####.#.#.##.#..#.#.#.######.####.#.##....##.##......#.#.....#####.....#########..#..##.##..###......#...#....##...####
###.#..##.#.##..######.#...##.#...#....##.........##.#..#####....#....####.#.##.#......#.#.##........###.#.####.#########.#.#.#...#.#.#####.##....#.#.##.#.#.######...#.#.##.....####.##..#.#.#.##......#.##.#.###.##.##.......##.#.####.#..##..###...##.#.#..#........#######.#.##.....#.#....##.#.###.#...##.#.#.##.##.#....#...#.##.#.#######....######.#.###.#..#.#.###.#.......##.#...##...###.#.#.#.#..##.#####.#..#.#.#.#.#.###.##..#.##..##........##.#.........#####.##..####.#.##.##....#....###.####...#.##....#.##..##.....#.#..##..##.######.##..#...#.#####..#.....#.##.....##.##.....#..#.###...######.#.#.#.########.....##.###.......######.#.#..#...######....#...#.##....##...##...#..##.###....#...#######.###..#..#.##.#.#.######....####.#........##.#......####.....#.#####.###..##.###.####.#.#######.###.......######.##..###.#.#.######.###.#######....#
#.....##..#.###..#.#...##.##..###.###.###########....##.......##...##.###..#..#.###.#.##.###..########......##..........#.###.#.#......###...##.#......#.#...#.##...#...#..####.##.#####.##.###..####.#.####.#####.##.###.####.#..#.#....######.#...###..##########.#.##..........#.#.#.#.##.#.##.#.#####.#....#.#.#..#######.###.########.#.##..#####.###.#..#####......#..##.###.##..##.#####.#.#...#.#.##.#####.##.##.#.#.#.#.#.##..##.##.##.#######.####..####.####.#.###.##.##.##......#####.##.###.#.#.####.#.#####....##.###.##...#.####.##..#.###..##.###.#.##....##.#####.#####.##..##.#####.##...#.###.##.#.#.....#.#.#.#..#.#.#..#...##.#.##.##.#...#.##.###..#.##.#.#.###.#..####..######...##......##...###...#.#...##.##.#..#.#.#.#.#.#..##..##....##.######.#.###.##....#.#....##.#.....###..######..#.##..#.#...#.#.#####.####..##.#...#.#...#.#...#.....##.##.###
#####.###.#..###...#.#.....##..#..###..#.#.....#####.############.##..#.##.##.#.#.#.####...#####...#######.###.#.######...##..########.#.###..########.#.###...########...##....##.#.#.#########.##...####...#......###.#.##...##.#.#.##.#......#.#.##..###.##.####.#.#..########...#.#.#.####.##.###.########.#.#.##...##.##.#.#####.#.......##.#.#.#.#.####.#.#.######...##..#....#.##....##..#.###.#.#.#..#.##......#.#...#.....#..###..#.#...##.##..#..##..######............##..#####.##.##...#.#.#...#.#.......##...#####...######.#..##...##.#.#.#.##........#####.##....##..###...##..#..##.#..###.#...#.##...#.###.......##.######.###..######..#.##.##........##.######.....#.####..##....#.######.#########.###.#.##.##...#.##.............#######.##.#####.##.....#######.##.######..#.#####...##.#.#..#####.##.###.#####.##..#....##..##.##.#.#.....#...#.###..#..#.#
#.#.#.#...#.##.#.########.####...##.#.##...###.#.#....#.#.#........##.#....##.#.#.####...#####.###.........#.######.....###..##..#.......#.##.##.#.###.#..####.#..##.####..####....#.#.##..##....#..#.#..######.##.##......###.##.#.#..###############.##...........#.#####..##...#.#.#.#.#....#..#.....##.#...#.#....###..#.....##.#.#.#####.##.#.#.#....###.#.#.#.#..###..#######.#..##.###..##.#.#.......##....##.#.#.###...#####.##.##.#.#.#.##..##.#.###.##.###..##.####.##..#.##.#.......##.##.#.##.##.#######.####.#.##..####.#.#...####.###.#.....########.##......#.#####.##...#####...###...##...#.###..#.#.####..#######...#.##....##..#.#.##.#.......#.#.####.....###.###......##.#####.....##.#........##..##.#..#.####.#.##.#####.##.#.###.###..##.#.##.....#####.#.#....####.#.##.#.##..###....#.#.#####..#...#####.#.....##.######.##......#.#.####.####.##...##.#
#.#...###.#.##.#....##.....#.###.##.#.######.#.#.##.#...#.####.######.###.###.#.#.##.#####.#.......#######.#.##.#.####.####.####...#.#.#......##.........##.##.#.##..#.###..##..####.#.#..######.#######.#.##...##..##.##.##...##########......#.#.#.########.##.##.###.#.##.######.#.######.#.######.#..#.###.#.####..###.###.#.#....#.#..#..##.#.#.##.#..#........##...#.##.##......##...###.#....#######.##########.#...##.###.##....#....###..#.##....#...##.#...##..#....##.##.##.###.###..#..#.#.#..#...##.#...#.#..#.##.##.#....#.###.##.##..#####...#...##..######....##.#..###..#.##.###.#.######.#.#.#.####.##.#.###.##.##.##....####..##.#.##.#.#.#######......#####.....##.######..##.##.#####...##.##.####..#.##....##...........###..#.#.#.#.##..###.######.#.#.#.#.###.###.#.#.#.....#.####.####...#.#.#.##.#...##..##.#####.#.##...##.##.#####....#..##...###.##.#
#...#.#.#......####.######........#.#.#.#.#..#....#####.#.#..####..#......#.#...#.##...##....##.####..........#...#....#....#..#######.##.#.#....#######.........###.#.#.##.###..##..#.##..##.##.#............#.##.##...########.#......######.......###.####.#...####....##.#.#....#..#.#####.###.#..##...#.....#.###..#..#####.####.####.##.##.#.#..####.########..###.#.##.#######.###.##.#.####.###......#.#.#..##.#.####..#...####.####..###...#..####.####.#.############...#.##.#.######.##.#.#.##...###..#.#.#.#.##.##.#..####....##..#..##.#.#.###...###..##....##.###....##.##.#...........#.#.....#.....##..#.#.....##.#...##.###..##..#.#.##...#.....###########..###.#######.##..##..#...##.##.#########.##.#.##.##.##.##.###.##.####.###.....##.##...#.##...........#.#.#.#.#.....#.###..#.#....#.###........##.####.##..###..#..##.###.#####.##########..###......#
#.#.#...######.#.#......#########.......#.##.####..#.##.#.##.##.##.######.#.###....###.####.#####..##.##.####.###.##.#.##.####.#.##.#######.#.#.##.......#.##.##..#.........#.##..##....##.#...#.######.#.#####..#.#..#####.###....####.#......###.###.#.#..#######....##......###.#####..##...#.....#####.#####.#.#.##...##..#..#.##..##..##.##...##.##.....##.#.#.##.....##.#..#.#............#.......####.......##.....##..##.###..#.#.##.##.###...##.##.###..####.###...#####.#.#.....#..#.......#.####...#.####.#...##.##.#.##.###.#####...##.......###.##.##..####.##...###.##..##...#########.#.#####.#.#######...#.######.##.##..#.##.###.....##.#######...##.#.##.##..............##..##.##.###.##...##..#.#..#.#.#####.#...##########.##...#####....####.#..###.##.######...#.#.#.#.########.....#.##.#.#.##############.##.##.##.#.##..#..............#.#.##.##..##.#.#
#.#.#.#..###...#.######.#.#.......#.#.#....#.##.##........#......#.###....#.#...####.....####.##..##..######......####.#####......#..###.##########.#.#.#########.#.###.#.#....#.######.##.#.######.##..#.#.....########..#.#.######....##########.##..#...####...##########.#..####.#.##.##.####.#####...............#.#..##.##.#..##.#..##..##.####.######.........#####.##.##.....###.######.##.###.##....#####.#..###..##.##...##.#...#..#..#.##.##..##...##.##...#.###.#.###...#####.##.#.##.##....#.##.##..##..###..#.##.#.##.#....##...##########..##.##..##.#.##.##.###.#.###..###..#......#.#...##..#.#.....###...#..##..##..##.#.#......#.####.##...######....##..##.###.#.#########..#.##.##..##.#..#.##.#.##.#..##.#...####..###.##..###.#...###.##.##...##...######.####.......###.###..#.#######..#..........#.#.##...#..........##.#.####.#.#####...#.#..#..#####.#
#####.##...###....##.#..#.###.##.##.######...#.....######.######.#.#.####...###.#.#####.##.#..###..##.#......#.##.#.####.#.######.#.##.#.#.#.#.##...########........#...######.#..##....#..#..#.##..########.#.##.#.##.##...#..########.##.......#.###.#.#..#.###.#.#.#.#######.#.#..#..#..####.######..#.#.##.#.####.####.....#.##....##.#..##...##..#..##########.##.#.#.#.....##.###..####.......#######.##.......###..##..##.####.###.##.##.......##..#.###..####.#.###.#.#.###..##....#.######..####....##.##..##.#.##..#.#..#.####.####..#.#..##.##.....##.#....#..##..#..#...##...#.##.#########.####.#.#.#####.##.##.##..###.##..#.##.#####.###.....#...#.#..##.##.##...#######..##.###.#.##.##.###.####.##...##.#.##....###.#..##.#.###..######.##.....####.####......#..#.##.#######....##.#.......##...#.########...####...#######.##..#....#.#....###.##...##.###.####
##.##.####.....##....##.#.######..####...###.########......#.#.......#.##.#..##...#.#.#.#..##.#.#.###.##.#######.....##.....#..............#.#..#####....#.###########.####....#.######...##.##.###..##....#####........###.##...........#####.#.......###.##.#.............#.#...##.#.##.##...........######..#.##....#####.#.#..####.#..##..###..##.#.##..#..............#.###.##.##..##....####.##..##.#.#####.##.#.##..##.##.#.#..##......######.####.#...##......#.#...........###.##.#.###..##....####..#..##.##...###.#.#.##.##....##..##.##..#.######.##.####.##.#..##.##.###..###.##.....#.##...##..#...##.#..##.....#.##....##.#.##.#.#####.#.#########.#.######.####.#.#.#.##..#..##.#..#.#..#....##...##.##.......##..##.#.##....#.#.##.#.#..##.#####.#...##..######.##.##..###..##.####.#.#########.##.....##.#.###.##.###.#...#####.#.########.##.#..#.#......#.#.##
#.....#.#..###.##.##........##.####..###.......##.#.######...#######......##....###...#...###.#...#.#.####.##.#####.#######.########.#####...##.##.#####.....##...##.####.####.#.##.####.##..##.#.#.######.###...######.#...##.#.##.#.##.##.######.#.#..##.#..#.#.#.#####.#.#.##.##........##.#####.##########.#.##.##..#.####...##.#..##.##.##.##.##.#..##.#######.###.##.#.###.##.##.##..######..#..###.#.#.##..####.##.##.....#.##.###.#.#...###..#.##...#########.#.#########.#.#.###........###.#####.##...##..####..##.#...#...##.#####..#.###...#..#.#.##.......#.##.......#.##.#.#..#.#.###.####..##.#.####.#.##..#.#.#..###.##....##...#.##........##.#.......##...##..#.....##.##.###.#.##...##.#######.##..##.###########....#.####.#.##.#.##..#.##.##.###..##....##...#.##.##.##.#.........###...##..########..#..##.##...#...#####.........#.####..######.######....#
####.##.##.##...#####.#.##.##..##.##.#...#.#.#........#....#.........##########.#####.###.#.#.###.#.#.#.#..#................#.#.########.###..........#..###.####.....#.#.##.#.#.##.#.##..##.##......##........#.##...#.#.#..##########...#.#..########..#.#.########.....#...##.#######.####.#.....#...#.#.#..########.#......#..#.##........#.##.##.#.##..#.#..######.#....#.###########.####.#####.#...#.#..####.#......#.#####.##..########.#.##....#.###.##.........###...####.#.##..##.#.#..#...#.#..##.#####....##.##.#.#.#.####....###...#.###.##.....###.#.##.#.#..###.###.##.#.#.##.###.#.#.#..##....##.#.#.##.######.##....####....#....##.#######....#######..###..##.#####.....#.#.#..#.####.##.##....##.##...#.#.##....#.##...##.#.##.#....##.##..#.##..##..####..###.......#....##.##.#.#.#.#####...#....##...###..##.##.#...#.###.#######.#.###.##.##....##.#.####
#....#...#..##.###########.###.##.#....#.#.####.#####...##.##.#.###.##..........#.###.......#.##..#.###.##.#.###.##.#.#.###..................#.#.#.##...##....#.#####............##.#.#..###.#######..######.########...####.##.#.##.#..#.#.#.##.####.##...#..##.#.#..##.##.#.............#.###########...#.####...##...#####.###....##.#.###....#.#..#..##.#.##..##..######.#.##..#.###.###.....##.#.###.####.#.##.######...###....#.##.#..##....#..####..##..#######.###.###.#.#..#.#..#####.##...#.#.#.###.########.....#.###....#.#.####.##.##.#...######..#######.#.##..######.##.#....#..##.#.#.#.######.##.#.#.##.#.#.##..###.##.##.##########.##.##...#######..##..###.#......#.#####...##.#..#.#.##..##.###..#..###.#.##.#######.###..#..#.#.##.#...##....##.##.###.##.###.###.#...#.##..####.#....##.#.###.####..###.##.##....#.#.#..........##....#...#.##.##.#.......#
########...######.##.#.#............##.#.####.#.#.....#.##.##.#####.#########.#...#.#######.#.###.#.##..##.#################.##.##.##.######.###.#..##.######...########.#####.#......#.##.#.#.##.###..##....##########.##......#.#..####.....##.#.#...###.#.##..#.##.#...##############.##.##....##.##.#.#.#.####.#..#.......#...##.###########.#.##.#.##....###..##.##..####..##.#...#.#######...........##.......###.####.#.##.###.##.#.##..##.##..##..###.##....#...##.#.#.#.##.#.#####..#####.##.#.#.#.#...##.######.##.######.#....#.#.#..#..###...##...##.#.#.#....#.##.##...##...####.##..#.#....#.##..##.#.#.#..#.#....##...#...#....##.###..#...#.####.#....####..##.#.######...#.##.##....##...##.##..#.##...###.....#...#.##...###...##.#.#####.#####.##..#...#..##.#.#...#.##.##..####..######...........#.##...#.#..##.####.#######.########.###.###.##.####.#######
###.##.######.#.#........#.####.##.#########..###.##.####..####.....#.##......#.#.#.##............#.##.##...#..##.##.#.##.##.#..#######........#########.#....#.....########...##.#.#....#.#.#.##.#.##..######.#.##.###.#####.#.#.##.#.#####.##......#.....#..##.#.##.#######..#.#.......##..####....####.#.#.#.##.#########.####.#...###...###....##....###.##.##.#.....##.#..##....###.#.....#.########.########.##........#.##..##.##.#.#####.....##..##....####.##.##.............#.##..####.###..#.#.#...###..#.##....#.#.##...##.###.#...##.##.##.#####.##.#.#.##.#....#..###..##.###....##.#.####.#.##.##..#.#...##.#.#######.###...#####.....##.###.##...#.####.##.##........##.###.#...#.##.##.####..#.##..###.#.##.##...#....#.###.#.###....#.###..##.#.###...###.##..#.#.############.#..###.#.#.##.####.#...#..###.#.###...#####.#.#....###.#......#.#.##.#.#.....#..#
#.................###.##.####...##...##......#########.###.#.####.#.#....#.#.####.#.######.#.####...#..##.#...###............##...##....##.#.#.##..........#.##.#.#....##....###########...#...##...##.##.#.##.#.#..#.#.#..####.#.##.#...#....#.#.##.#####.##.##.#..#.###.#.##.#.#######....##.#####.#.#.........#...#.##.####.######.#.###...###.####.###...##.##.#####.#..##..##.###.#.#####.###.........##.##....###.#.##.#.##.##..#..#.#.....#.#..##..##.#..##...#.##.#.####.##.#....##.##...####...#.#.###.##.#....##......###..#.##....####.#..#...#.#.......#.####.####.##.#.##....##.####.#..##..#.##..##.#...#.#.....##......##.####....#####..#......#....##...#....######.##...#.###.#.#####..#.##.#....##.#.#.....##.##.##...#.#.#.######....#..##.....####...#.##.##......##..#.#.#.#.##.#.#.#.#########.###.##...#.#...#..##.....##.###.#.#.##.###.#........###...##
##.#.###.##.#.#####....####.###.#..#..######.##.#...#....###......######.#####....#.#..#######..###.##..#####.#.#.#.#.#########.#######.#..#.#.####.##.#.#####..######....#####.##.#..###.##.#####.##...#.#......##...#.#.##.#....#..###...#.######..#.#.......#.#.####.#........##..#.##.#..#..###......#.#.#.#...#.............#.#....#.###.....##.#...###.#..##.###...##..#.##...##...###.#.##########.##...####.#.######.#.....##.##.#.#####.#.##..#.######....#....######.#########.##.#..#....###.........##.##.#.##.###.##.##....#.##.##.#.##.#.###.#####.#....##..#.##..#.#.###.####..#.#...####....##.#..#.######.##########.##..#...#.##..##.##.##.#.#.#####.###.#####.#.#####.##.##..#.#.##..##....#.####......###..#.####..###.#...#.#.###.###.###.#.#..#.#.###.##..#.#.##.##.##.#.#.#.##.#.#.#.#.#.....#.###....#.#...####..#####.##.###.#...####...#.##.#.#..####..#
#..#.#....############.###...#####.#.##.........###.##.####################..####.#.##....#.##.##.#.###.##..#.#.#######..#.##.####.##.###.##.#.#.#..#######.######.#####.##........##.#...##..#.#...###.#.######..###...#.##...##...###..###.#.#.#####.#######.#.#.#.#....##.#.#.###.#.#####.#.##.############.##.##.#.#########.#.##.#...#######..#.#.###...##.#....###..##.#.####..##.##.#.#...##...#......#....#.#.##.#.#.#.######.##.#.##..#######.....##########.#..#.##..##.#..#....#.#####.#########.######..######.##........#######......#..#..##...#######.####.#.##.##....##..##..##.###.#######......##....##..#.#.##..##.###...###.##.##.....#########.#.........#.....#.#..##.#..##....##..#.####....###.#######.#..######.#.#.###....##..#..#.#####.##.#..##..##...######..##.#.#.#..#.#.#.......#.#.###.#.######.####.####.....#......#.###.##.#....#.#.#.##..#.##
#.#####.#.#.........####...#.#.#.#.#..#########........#.#.##.......#.....#.##.#.....####.#.#..#......#.###.....##.#..##.......#.#.#..######.#.#...##...#.#..##.......########.###......#.##.##.##.##...#.##.####.#.###......######.##..###....#.#.##..........#.#...#.#########.#...#..###....##.#.###.################..##.......######.........##....####....####.#.#.##.....#.#.##...#.#.#.######...#.#######...#.##...#.#.#..##..##.#..#.######.###.###.##.....####...###.##.##.####....##.#..##.##.#.......##.##.#.###########.#..##.######.#.##.####.##..#.##...##.#.##.##.######..##..#.#.#..##.#.##.#####..#####.##.#..##........#...#..#.##.#####.#.#.##..###.##.####.###.#.##.##.##..#.######.....###.###.#.......####.#..###.#.#.....####..##.##..#.#..##.#.####....#.##.##..###.#.#...##.#...##.#.##.#..#....###.#........###.###.#.####..........#.########....#####
#.#..####.####.##.#...#..#.#.......####.#...####.#####........###.#...###.#.##.##.##..##..#.##.######.....#####.##.#.##..#.###.....##.#.##.######.#####.#...#######.#.....##.#####.#.#.##..#.##.#...###.#.#..#.#.....######.#####....####...##...#.#..#.######.#.#.###.#...........#...##.#.##.##.#......#.#.###.#.##.#..#######.#.#.#.#########.##..##..#.##.#.#....#.#..#####.#.#..###........#.#.###.###....####....###.#.#.#.####.##.#.##.##.#.#.##..##..#..######.###..#..##.#...#...####..#.##.....##.######..##....####.......#.##.....###.#.....##...##......###..#.##.....#..##.###.##.#.##.##.#.##.#...##...##..##...#######.##.##.###........##.......#.##....###....#####.....#.#..##.##.##..#####...#.....#####..#.#.#.##...#...#.###..##.#...##.#.#.###.....##.######...##.#.#.#.##.###.#.############.#.##.......#.####.#.####.......#.###.#.########.#..##.#.#.#.#
###.##.#####.#..#####.##.####.##.#.###..###.#.##.#.....##.#########.###.....#..#####.####.#..#...#.######..##....#....############.##.#.#...#.#.#.#.....###.##.######.###....##....#.#####......#.####....##.....#.#.#...#####.#..#.##.#########.#.##.###........#..########.####.###.###.###...#.######...........##.##.##.####.#...............###.#..##.####.####.#.#.######.#.##..##.######.#.#.#...######.#....##.........#..##..##.#.##....#.#.###.###.##...#.#...###.#.##..###.###.##.##.#..#####.##..##.###..####..##..###.#.#.###.####.....#######.####.###.####.#.#..#.###.###........#.#............#.##.###..##..#...####...#..###.########..##.#.#.##..###.##...#.##.##..#####.##....##..##.....###.#.###.#.#.####.###..###.#.#####...##..#.###..#.#.#.##.#####.....####..#.#.#.#.#............#.#.##.###.#####.#.##.#.####..##..####.############.##.....##..#.....#
#..............##........#....######.##.##.....#####.#.#######....#########.##.#.#....#.#.##.###...#.##...######.##.#####.##..............#.#.#.#######.....##.#...#########....####.#...######....#.##.#####.######.##.##.#.#...##.#....##...........########.#...##.#.#.#########.#.....##..#...##.....#.#.###.#..........#..#######.#.##.####..#####.##.#.#.........#.##........##.######......#.#####.####.##.#..########.##.##..##.....####.....#...#...##.#.#.##.##......##.#........#.##...###.......##...###..#.##..####.#.#....#..#.#####.###..##...#.####..#.##.....####.....##.###.###.###.#####.#######.#...##..######..###.######..##.########.###.##.##.#..###.####..##.#.##..##.####..##..#####...#...#.#....#.#..#..##.........###.#..##..###.....#.#........#####.#..##.......#.##.##.######.#.#...#......######.#...##.####.########....###......#.#..##.##.####
##############.######.#####.#..##.#........#.#..##...#.#.....###.####.##.#.........##.........####.#..###..##.#...#.#.#...#..#.###.#.##.#.#......##.##..#.#..#.###.#.#.......###########........##....#..#.#########.#.....#.#####..####..####.#.###.##..##.######..#.#.#..##.........###.#..####.###.##.##########.#######.##....##...#.####.###.#.##..##.#.#########....####.###.....##....#.##.....###.#.......#.####..........##..#####..#######...#...######.#.##..###.####..#.######...####.#.#######.#..#.#.##.#.#..##.#..#.##.#...##..##.#.#.#.##..###..#.##.#.######.#.#..#####...####.#.#.###...#..##.##....#####.#.#..##.##...##..##..#......##....###..##.#.###...#.#.##..#.#..###.#.#..####....####.#.#####.####.#.##.##..#########...##.##.##.#####...##.####.##.#.#.##..###.##.##.########...#.....#.#.#########.###.###..##........##..##...#.###########...######
#.####.####....#........##..####....#.#.#.#####..#####.#####.##...#.#.#....##.#.####..#######......##.##..##....#...#.###.######...#..###.###.##..#.#..#####.....#.#.#########.....##....############...##.#.##..#...#.###...#..###......##..###########.##.#.##.##.#.#...########.##..##...##....#.#.####..........#.......#####....#.###........#.#..##....#.#.#.#.##.###.#########.###############.#.#.#####.#.####.####.##.######..####.##...########.##.#.#..#.###...#..#...#####...###.#.##.#.#.#.....#.####.##.#.##.##.##.########..##..#.#.....###...##.#..#...#.#..#.#...##..###.##.#..#...#####.#.##..#..#####.#......##...##.##..####.#.####.##.#######.##.....###.#...##.##...###......##.#..#.##.#......##..####.#.....##...#.....###.....#..#...##..####...#####.....#..###...###....#####..#...##.##........#.#..##..#.#.##..########..##..###...##.##.#.###..##..#
#....#......##.#.#.##.#..####....#.##.#.#.#.#.##...######.....###.......##.############.......##.#....###....####.###.##..###....#.##.#...#######.....####.#####.....#.##...######.#######......##....####...###.###.#######.##.#.###.##....##.....##............##.#.###..##.#.....####..#######.#.###.###########.######.##.##..###############.#.##.##.##.#...........##.#.#....#...##.#.#.##..#.#...#..##########..#.#####..#.#...##..#..###.#.##.#.#.##.#.##.....###.##...###.#.##.##...#.#..#...#####....###..#.#.#..#......##.#....####.#.#.#####.#.###..##...###.##...#.###..##...##.##...###.##.......##.##.#.#...#.#.#####..#....##.##.#.######...#.#.#..##.#####.#...###.....###.######..#.#.####....#.#####.##..#.#.#####..###.#####.##.#.##.##.###..###...###.##..###...##.##.#######..##.#.####..##########.##.#.####.#....#.###...##..####.....#.....#.#.#.#.##..##
#.##...##.#.########..#####...#.###########.#.####.#..#.#####.#.#####.######............#.#.#.##.##.#..##########.##...##.#.#.#.##.######.#..#....###.#.#........###.#.####.#.#.##.#.##.######.##..##..#.###.#........##.##.........#####.########..####.###.###......##..##..#######..####...###.#.##.....#.....####.#..#.#...####..###.###.........#.....#####.######.##..#.####.##.##..#.#.###...###...##...#.##.##...#.#.#.##.###.###.#.##.#.#.#....#.##...#####.###...###..##......####...##.###.##..###.##.##.#.#.##.######.##.####.##.#.#...####....#.##....#..##.####.....##..###.##..#.#.#.#.#..##.##.##....#.#.#######...##...#.###..#...#...#..#.#...##.##...##....###...#.#..##.##.#.#.##.#.#.#..#.######.#..##.#.#.#.##..###.....##.####.#..##...#.##.##.###...##..####.##.#..##.#.##.##.......##..#..#.#.#####....#.#...####.#.#.###..#############.#...#.#.#####..#
#.##.###..#.#.....###.##....#####.##.######.#..###.##.#.......#.....####.####.##.######.#.############.....###.....##.##....########.#....##.####.#...#...####.###.....#.#......................#####.##.##..#.#.#.##.##....#.##.##..#.....#.##.###....#######...####.###....####.#.##.######........#####.###.#...#..##.....#.##...##.#.#...####.##.##.#####.#####.....###....##..##.###.#.#.#.###.##..#..###....#.####.#.....##.#.#..#..#....#.#.####...####.#.###.#.##.####.######.#..#.###.#...##.###..##.##.##.#.#.##.#..###.##...#..##.#.###.#..####...####.###..#..####.####..##....#.####.#...#.##..######.###.#.##.#.###.##..#####...##.###.###.####.####..#.#####.###.#.######..#.##.....##.#.#.#.####.##.....##..#......##...##.####..#.#..#.#####...##........####.##.####..##.#..........#.#.#######.##.#..##.#.##.#.#.#...##.#.......##.##.##....########.#..#..##.#
####.####.#######......########.......#.#.#.#.##.#.#....#####.#.#.#...........#####.....####.##.##.#.#####...#####.#..###.###..#.##....#####.##.###########.##########.#...#.#.#.#.##.##.#.##.#...##.....##.#########..###.#########.#####....#.#.##.###...####.##......####.##...#.......#.#####.##..#.##.#.###.#.##.###.#.##..###..#.#.#####....#......##.#..##.###.#...####.##.##...##.#...#.#...######.....##.#......###.#..#.#.##.##.#.####.#..#####.#.#........#.#...#.#.#.#.#####.........#........##..##.##.#.#.##...##...####.##......#.#.#.##.##.#.#.##.#.##...##.##...##.#####.##..##..#.#######...##....##....#....##..##.....###....###......##...##..##...##..###........####.######.#....#.#..###....######.##.#######.###.....##.#.##.#...#...#####.#.######.......####.##.#.###.##.########.##...##...###...####...###.##.#.#.##.##..##.#..####.....##.#.##.##..#
#..###.#####.###..##.#######..#####.#.#.......#....#.#####......####.###.#.####.#...##.##..................#..#.##.#.##....###.#.###.####....#...##..##.##.............##.################.######....#.#.....##.#.#.##..####.#.##....##.###.#...#.##...###.#..###..#.##......####.###.#.#......#...##......#.##..#....#.#######..###.#.#.#..#####.##.##.##..##.##.#.####.##.#...#.###.##..##.##.###.....###.##.#..####.#.#.####...#.##........#..##.#.#.#...########.....#..........##.##.#####.##.#.##.#..##..#.##.#....#.######.........#.##.#......#.####....#.#..###.....#.####.#..##..##.##.##..##...#.#####.#.#..####.####..##..#####.##.###.#.###.##..###..###.#####.#.#.#.#######.#.#.#..#.#.####...##.####.#..#.#.##...#.##...###.##.##...##...###.###..####.#.##.###.#####.#...#.....#.##.....###.....#####.##.##.##.#..#.######...#######.###.##.##...#####..#..#.#..##
##.##....##....#########...##.#.....#...##.##...##...#.....##.#.##...#...###......#.#..########.#.#.#.#.#.###......#..##.###.#....#..#..##.#...#..##.#...####.#.###.##.#####..#.#.#.##......##....##.####.##..#.#....#.##......#####.#...######...#..###.#.#.#############.#..#.#..###########...#.###.#.#....#######....#.#.###.........##.#.#########.##.##.......##.#....#.#...#.#.#..###..#.#...#.###.#######.##...#...##.###....######.###.##........###..##.####.######.#######..#######..##########.###.#.##.####.....#..####.#.#.#####...#.##.#..##..#######.....##.##..#.#.#.##..###.##....#####.#..#.#..###.###.#....##..##.#.#.#.##.##....#.###..##.#.##.#.#.##......###...##..#.#.##.#...#.##.###..###..#.##.#.##.###..##.##.#.######.#####..#..#.##.#.#.....#.#.#...###.##.##.###.####.#####.#.######.#.....##..#.#.####.##.#.#..##.#.#...#.##....#.#.#.##...##.##..#
#...####.#####.#..##.....#......#######.#########..#.##.#.########.#.###.#...#.##.#.#.##.#......#.#########...#.##...##..###.####.#####..####.###....##.####..###.####.#.#.##........#.#.#.#####.##....##..##...##.#.#..######.........#.#.#.####...##.....#.##.#.#.#.#.##.##...#.##..##..##...#.###.#.#.####..##.######.#.#.#...###.###........##.##...##.########....####.#####.#.#.##..#..##.##.#####.....##.#.########.....#####.#.#....#.#.###.####.##.#.##..#..####.###..#.#..##..##...####.#.#.##.#..##...##.##.##.####.##....#.###.#.##.#######.####.##.##.########..##...#.#....##.#.#..####.#...##...##..#........####..##......#.......####.##..##.....#.#.#....#.######.#####.#.#.#....###..#..#..##.##...##.#.#..#.#.###.#........##..#.#..##.##.##...#.#.###...#.###...........####.#...##..#..####..#.######.##....##.......##..#.#...###....#.####......#..#....##
##.##......##..#.#####.#.####.#####.....#.##......##..#####........#.##..#.#####..#.#.#..##.##.#####........#.######..##.#.#....#...#.##.##.###.##.#.....#.##.#...###.........##.#.#...###.##....#..####..#####.####.#.###..############.......###.###.###...#...........######...##.##..##..#####...#########.##.#.#..........#.#...#...######.#.....#.##.#.#.#..####.#.##.##.#..#.#..##.##.#..#..#.#.#.#.#......#.#.###..##.##.#.#.#.#.##.#.#...#.####..#.#..##.##..#.#.#.##...##.#..###.#...##.....##.#.##..###..#..#...#.#.#####.#.###....#.#.##.#..##....#.#....##.....###.###.##.####.#.#.###...###..#.#####.#.#.##.####.##.##.######.#######..#..##.###.####.#...#.####....#....##.#...####...##.#.##.##...#.###..#.#.##.#..#..#.########..##.#.###.##..###.#.###...###...##.########..##..###..##.#.##..##.#...#.#.....####..###########...#.....#.####.##.#######...#####
#...######.###.#.#.##..####...###.#######....###########.#..####.######.##.#..#..####.##.....####....###.########.###.##...####.###.#..#.#...#..########.#..#####.#.####.#.###########...############.#..##.###.#.#....#.#.##.#..........###.#...#.#.###...#...####.####..##.####....###.##.########..####.....#..#.#######.##.#.##.###.###.......#####....#.#.##.#.##...#.....##.#.#.##.....##.##.#...##########.#.#..#..##.......#.#.###..#.#.#####....##.#.##..###.....#.##.####.##...#####..#####.#..#.###.#.##.##.#.###.#..#..#.###.####...#..#.##..###.##...#########...#.#.#.##..#.#.#.....#.######.#.#.##....#######.#.##...........##.##.##.#.###..##..###...#.#...###.###.####..###.#....###........##.##...##......#.#.##.##..##..##..###.....#.##.##.#....###.####.###...#.###.##..##..###.#..#..#.##....###.##.#####.##.....######..####.#.##...##.##...##.########.#
###...##.#.#.#.#.#.######.###.#...##......#####.###.###....###...##.#.#######.#.##.#..###.#.###.#######..#.............#.#####......##.#...#...##.#......##..#......#..#####.#.##.##.##.###...####......###.#.#.#.##.#......#.#.####.#.###.#####.#.#.##..#.######.####...##....#####..#...####.#.#.##..#...###.##.#.#.###...##.#.#...####.#####.#.##....##........#..###...#.#........##.###.##..#.#.####.##...##.#.##.#.####.#.##.....##..##.#.#.##..##.#..#.#..##...###.#.##.###..#..####.##.##.##..##.#.#...#.#..##.#.#.#.##...######.##...#...##..##.#.#.###.##.##.#.##.###.#.#..##.#.#.#.#####..##.##.#.#.#..#####..#.#.#.##.####.##.####....##.#.#.#.##..##.#.#########.#.#.#.##.#.##.#...####.#.##.#####.....###..#.####.........###.###.##.#.#####.##......##..##.#......##.##.#.#.#####..##.####...##.##.#.###..#.........#.#####.##...#######..#.####..##.###...##.....#
#.#.###..........#..#.#...#######.#######.####....#.....#.##...#.##...##.##...####.#.##.######..#####...######.#.###.#.....#.##.###..#.#.####.##..#.####..##.######...##..#..#.#..##..###.###....#.#.##.##.........########.#.###########...##.....#..#######.....##...#..##.#....###.##.###.#.#.#.###...###.#.#..........#..###.#####.#..#.#...#..###.##..#.#.##...##.#.#.#.##.#.###..####...#.##....##...###...........#....#.#..###.###.#......##.###.##.#.#.#######.....##.#.##.##..##.....##..##.#......#...##.##...#.#.####...##....#.####.##..###......##.##.##......#.#.#.#.##.........#.##.##..#..#.#.#.##...##.#.#.#.#....####..#....####..#......##.##.#.#..#.#.##.......##......##.##.#.....###.##..###.##..####....#########.#.##..#..#..#.#...###.########....##.#.##..........#.#.##.....##.##...#.#.#.##...##.######........#.####.#.##.#####.#.###...#.###..#####
#.....####.#####.##.#.###...##.#...##.....#....##...#.########.#####.###.####..#.#.###..##.#.##.#.....#.#......#.#...##.####.####.##.#.#.#.....##.####...###.#.##...#..##.##.....###.###....####...#..###..######.###..#......###...#...###.#..#.#.#.##.#.#.#####..#####.##..####...#....#.#...#.#.#...####....#.##.####.##.###..#.....##.....#######..###.#.#.####......#.###########..#.###....##.######...####.#.#.#.###.#.####.#.....#.######.####....#.....#.#.##..###..#.#.#..###.###.##.###.#....#.##.#.#..#.##.#......##..#######.####....##.#.######....##..##.#.#...#.#.#.####.#####...##..##.##.#.#...##.###..#.#.#.#.##..###.#####.##.##.#.##.####..#.....##.#.##.##.########.#.#...#.##.######....#######.##.####.###....#.#.#.###.##...##.#.###.......##...#.#######..####.#.###.#.##.######.##.###.###....#######.....#.##.#...##.#....#..##.#.#.....###.#.#.###.##
#.###.#.####......#.#..###.##..###..###.####.###..#.###..#.#.###..........####...#.###.##....#..#####.###.#########.##...#.#.#.#...#.#.######.##..##.###..#.......####.......###.#.....####.##...###########....#.#.##.######.#.###.###.......####...##.#.#.##..##.#..##..#####.###.##.#.#.###.#.#.######...##....#####..####.########..###.#.##...#..##.#######.#..##.#.#.##.##.#...##.#.#.#.####....##.#.#......#.#############..###.#...#.#.##.#.#####.#.###.#.#..#######...#.#.##.....###......##############...####.#.#.####.##..##..##.####.#..#.##.#.####....#########...#...#.#.....#######.##..##.#.###......##.#........####.###..##.#..##...#####.#.##.######...##..###..##..#.###.###.#.......#.#####.##.......#.#.#.#.####.#....##..#.###....#.##.##.#####.#####.#.#..##.######.#......#.##.#.........##.######.##..##############..#.#######..#.#.#####.#..........#
#####...#.#####.#.....##.#.###.####.#.####.#####.#######.....###########.##.####.......#####.##.##....######........#..#.......###......#.##..#..##..#.##.####.##.##.#######.##....#####..#.#######.###.#..####...................#..##.#.#####.##.#....#.#..##.##.##.###.#.##....#.####.#.###.....##.#...#.#######.....##.##.##..##...######.####...##..##.#.##.####..#.#.#..#....#....#.#.#...##.####..####.#.#.####.#.#.#.##.##########.#.#.#....#.#...#.#.....#.##.....#.#.#.#..##.##########.##.##..#.##.#...#..##..#####.....##..##.##..###.##.#.##...###..#######.#.####.#.###...#.###.###...###......#...######..#.##.###..#.#..#..##....##..#..##.........###.#.###..###..####...##..#.#.#.#######...#.#..##.######...#.#..#.#...######....###.###.#..#####.#...##.....#.##....#.##.#.######.##...##.###.###...#.....#.###.........####.#...#.#.##.............#.######.#
#.....###..#....#####........#.#....#.##....##.###.#...#####....##.###.#.##.#.#..##.##..#.##.##.#######..#...#####.###.######.##.######.#.###.##..##.#.....##...###..........#..##..##.##.#..####.#.#.#.#.##....##.#.#.#.#.##.#.#...########....#######.#.#.##.........#.......##............####.##..#######.#...########.#...##....#..#......##..#..##.#........###########...##.####.....#.###...#.#.###.#########.............##.##......#.#.####.#.#.#.###.###..#####...#.#...##...#.#.##....##..##.#.#..######.###..#..####.###.##..##.##...#..#..##.##.##...#.##.....#.....#.###.###.#.#.##.##.######.###....#.##.#..#...####.#.##.##..####..###.#..#######.........##..#..##.###.##..##.......#...#.###...##....##.#.###...##.###.#.##.##.#..#...##.##.#.#.....###..#####....##...#.....#.#.#.##.######.###.#.###.#####...#.#########.#....#...#.###.#########.##.#....#.#
#####...##.#################.#.####.#..####.....##.###..#.#####.#....#.#.#....#####.###.#.#.....#.#.####.##.##.#.###.###.......#.#.............##.#..#.##.##..######.##.#.#.#######.#..##.##........#...#..#.##.#..##########.####.##..#.#.####...#.##.......#######.#...##.##.###.#.#######..##...##.#.##.#..#.#......#.#.#.#####.#.##...##.#..##.##.##...####.#....######.##.#####....#.#...#.##.##....#..##.#.##...##########.##...######.#.#.##.#.###.###.#..##.##..####.#...######.#.#.#####.#..###.#...##.##.#..##.##.##.#..#.#..##.##.####.#.##.##...#.#..###.######.###.###.#....#......##..#.#.#..#.###.####.#....#########....#.###.###..######.####.#.###.#.######.##.###..#...##..##.######.###.#.#.#.#..#.##....##..#.##..##.#.##.#..##.#.###..##.....#.#.....##.#.##.#..#####.#.###.#.#.........#..##.............###.###.####....########...#.......########.####.#
#.#.#.####.#.####...#........#.##.....##..####.##..#.##.....#...####.......##.......#.....#####.#.#.#.#..####..#..#...#######.##...##.#.#.####.#....#####.#######.############.##.#.##.##..##.#.###.###.##.##########..##.#.####.#.###..........#.#.#..#####.#....##.##.##...#.#...###.######....#.##.#.#..##.########...#.#.###.########.##.#.######.#..###....##.#...#.#..#########.###.#.#...##..###.##.##.....###.##.#.......####.##.#.....#.##.#.##..##....###.##.##.######.######.#.#.#.##..##.#...###.........##..##..#.##...##.##.##.#.#........##.##.##...#.#....#..#..###.##.###.###.###.##...##.......#.##.###.###..##..#.####..#....##..##.#.....#.#.###.###...#.......##.##.##..###.#..#.#...#.#.#.###.####..######.####.##..#....##..###.#.##....#.#.#####.#..#...##.#.####.#.#####.#...#########.###.###.##.##.#............##.###.....##.###.#######.###.##..#####
#......#.#.#....###.########.#..#####..##.##.#.###....#####.###.#.####.###########.####.#....#........##.#.###.##.###.#.#......###..########.....##..##.....###.#...##..##.#....#.........##..###.#.#....#..#.###.##..##.....#.....#.####.#.#####.....##.......##....##.#############.........####......#.##...#.#.##..#.....#.#..##......#..###....#########.########.#.##.#.#.##.############.###...#.#..##.###..#..##...####.##.........###......#.###.#####.##..##.##..###.....##.#.....#.###.##...#..######.###.#..##..##..###.##..#..#.#.#####.#####.##..##.##.####.##...##.#......#.#####....#.##########.#.#..##..#.##..##......##.#.######.##.##.####.#...#####.#.#.#######...#.###.##..#.##.#.###.#.#.##.......##...#..###...##.#.######.##..#..#.##############.##.###..#.........##.....#..#.#.##.#.....###########.#.######.#.....##.######.#.....##.##........##.###
#.#.##.....####.##....#.#.#....##.##..##..#.....#####.##....###...#.#####.##.##..#..######.#...#.#.##.#....#............######.#.#####.#.#.###.#.###..#####.#.#.###....##..####.###.##.##.###.#.......##.##...#....#.#######.#####........#####...#.#..#.##.#.####.#.####.###..##.#.##.##.#####.###.#.###..#.#...#.#..######.....##################..#.###.#####.###........#.#.##.#.#.....#....#.##.##.#.#####.##.##.##.#.#....########.###...#.##....##..##...###.##..#.##.###.####.#.###.#..##..######.#.#.####.#.##..##.###..##..##.#.##.#.##....#.##..###.##.#..#.##.####.##.####.#.#...##..####.#.#.#..........####...##.####.##.###.#..#.#.#..#.#...#.....#..##.###.#.#..#..###...#.#..##....#....##...#....##########...##.###.#....####....##.#.##....##....#.######.....###.##.#.#..###.###.##........#.#.......##.####......#.##.#.##...#.#.#...###.......##.###......#
######.###.###..#####.......##..#.###..##...###.#...#.#####.#.###...#.#.......##.####.##.####.##.#.#....##.##.#######.#...........#.#....#.....#..###.#.#.......##..##..##.##.#.######.#...######.##.##...###.####....##..##.#.####.#.#.#.##....###.#.#####.#.##...###........##....#########...#.###.#.#.######.#.#######...###.#.#.#......##....##.#.#...#.#.#.#.##.#####............###.####.#.##.##....#.#.....##.#..#.##.#........####..###.##.##.#..#####.#....##...##......##..####..##.#..####.........##..#..##.#...###.##.##....#.....##.#....##.#...##.#.##.........##..##..###.#####..##......#######.####.#..####.####.####.#.#.##.#.##...##.##.###.####...#......##.##.##.##.#.######.#.####..###.#######...#.#.####.##..#.####..###.##.......####..####.#.##.##.##...#..#.#.##..#....####.####.#.###.#######.....#.##.######.#....###.#...#..##.###.#.##...##.#.#.#
##.#...#.###.##..##############.....##....####..###.#.#.#.#...#.###.#.######.##...##......#.######.##.#.#.....#....#####.#######.##.####...########.....#######.##.##..##.....#.#..#.####.##.#....####..#.....#..##.#..##....#...##.#.#########.##..#.##....######...########..####.#...##..###.#.##....#.#.#.##.#.....#...#.#.#...#.######..##.###....###.....#....#.#.....#.#.##.#.###.....#....##.#..####.#####..#.##.#############.##.##.#####...####..#..#...#.###.#..######.###..#.##.#....###.#########..##.#.##....###.#....#####.##.#######.#####.###.##.#..##.######..#.####..##..##.#.###.######.####..#.#..##..#.#..##....#...........####.##.##.#.####.###.#.####..#.#.....##.#.....##....#.##...........##.##.#..##..###......##.#......##.#####.##.#.#...........#.######.#..##...#.##..#....###..##.........#######.....#.###.######.#.####..#...#.#..##.#########
#....#....##....##..##...#.#....#.#..######..##.............#.......#.###.#..####..######...##..##.#######.##.##.#...#.#.#...............#.####.#.####.##..###..######....#.#...##....##..#..####.#....######.##..####..####.#.#########....######.##..###.##......#####.####.##....###..##.##....#####.#.#.#.#..#####.###.###.#.#.....##.##.....####.##...###.####...##.##.#.######...#####.####.##...####...##...##..#####.####.#.#..##..###.##..#..####.##.###.###.####..###....###......###.##.#.#..##.#.#.##.....##.#.##..##.###.##...#.#.##.#..###...##..#..#.######.#.##...##.#.####..#.#.#.#.##.##..#..##.....###.##.#.####.###.######.##..#.#.##..#.#..#.#.#.......###...#####.##.#.#####..##...#..##.#.#######.##.#.##..##...######..##.#.####.....#.##.....##.#.#.#.##....##..#.##..#######.#.##...##.##.#.#.#####.#.#####.###..#####..........#############......##.##
##.#.##.#..####..##.####...####.####.#..####....#.#.##.##.#.##.####.#.#.#.##.#.###.#.##.###..##.####.#......########.....#######.##.##.#.#.#..#.#.#.....##.#.##...##.##########.##.####..##.##..###.#####......##.##.#.###...#..##.#.#.##.#....#.#######.########.##.#.#......#####.#.##..#..####.#.....#.#.#.##..#.##..######.###.###.......###..###..###.#.....#..#..#.#..####..######.#.#...##..##.###.##.#####.#######....#.......###.###.....###..##..##..##..##..##..##.####..######.##.#.#..#.#.##....#..#####.#..#..##....#.#.####.#....#.##.#.###..##...##..#.#......###.##.#.##.#.##...#.#.##.###.##..#.#####....#....#.#.###.###..#####.#.#.##.##.#.##.#.##.######.#####..........#.##..#######.#####.#..##....#....##.##.###..#.##.#..###..#####.#.##.############..##.#..########..#.#.##.#..##.##...#.#.#..#.#........######.#.##..#.#.############.#.#.####.#.....#
#..#######..#.#.##.....###......##.#.##.#.#..#.##.################......................####....#.##.###.#####.#######.#.#.......#..##.#.#.##.....#####.##.#.#..###.....##.......#.#.#..##..##.######.#.####.#.....#...#.###...##..#...#####.#...##.##...##.#.#...#......#.##.........###.##.##...#.###.#.#...###...###.#.#.....################.##.#.##.#######.#.###.###.###.##.#.#........#..#.##..##..##..#.#...##.....##...#####.#.#.#.##.#######..##.###..#.###.####.##..####.#..###.##.#.##...#..####...###.#..#.#######.#.#.#..##....##.#......#...####.###.##.######.###......##.#.##.###.#.##..#..###.#..#######.#.##.#.#...#...##..##.###.#.##.......#.#.##..#.##...##.####.#.#####.###....##...#.#####.######.#.#####......#.##.##.#.#####...#####.#.....#.##.#.###.##.####.#.#.###..........#######.##.####.....#####.####.#.......########.##..#........########.#.#
#.####.#.##.#.#.###.##.....##.#.#.........#######.#...#.##...#.....######.##.##.#####.#....####....#..######...#.#.....#.###.#.#.##.#..#.###..#.#..##...##.#.##.#.#####.####.#.#.....##.###.#...#.##.....#########.###...#.###.###.###.#.##..###.....###.#..#.##################.#.##.....##.####.###.#...###.#.###.#.#.#.####.##.##..##.#.......##.#..#.##.#.#..###.####..#..........#########....##.###.#..##.#.###############...#.....#..#####.#.##.##.#...##.#.#.#.#..###.#.##.#.##...#..#..###.##..#.###.##..##.....##..###.#.##..##.#######.###.###..##...#..#..##...#.#.#####.###.#.#.........##...##.#...##..#.#....####.#.###.####.##...##.#.#..####.##.#.##.##.##.#.....#.###.#.###...#.####..#...#.##...#.#.#.#.##....######.....#.#....#..###.##....###.........#####............##.##.##.#....#..#.##..##..#.#..#######.#...##.#.####.......##.#.########.....####.#
#.#..#.#.##.....#.###############.#.#.#.#..##.#...#.#....###.##########....######.....####......##.##.#.##.###.....#.#.#######.####.##.######.###.##..#...................####.##.##.#...##.###....#####.#.####.##...###...#.#..##.##.....#########.##.#.##.#....#.###....#.#.#######.###.#..#.....#..###.#.............#.#.#..#..##.##..######.##..##.#.##.#.##.##...#.#.###.#.#.#.#.####....####.#...##.#.##.....##.##.##..######...#.#.#.##...#.......#.#.###......#.##.............###.#.##.###...##.#.....###.####.#####.##.....##........#.###....###.####.#.##.#####...#.#.##..##......############.##.#.#####.#.#.####.##.#.##...##.....###......##..####.#..#.#.....#####.#.##..#...###.....##.####.#....#.#.#......####..###...#####.#.####.####..##.#.######.####...#.#.##.#.###########..#.##.#...######..#######.....#.#.#.######...#..#######......#..#.#.#.###.####
####.#.#.#..#.#...###.#.....##.#..#.######.#..##########.##.............#.##......#.#.#....#.##.#.....#.#....###########.......###..##.#...#..##.....###.##.#.#.#.##.####...#######....#..#.....####..#..#.#.#...###.....#...#.##...###.######..............##.###.....##.....#.#.##..#...##.#####...##.....###.#.#.###.#.#.##.##.##..##.#.......#.###.#......##..##.##.###.#########.#..##.#..#...##.###.#..###.####.##.###.#..#########.#..###...#.###.......####.###.##.##########.##.....#....###.##.#####..#..#.#..###....###.####.#.######.##..##..........#.#..##.#..#...#.#..##..#.##..##...###..#.##...#.#.#.#.#...##.#.....#.###..#####...##.#..#.###.#...##.#.######..###.###.#.###.#.###.##.#.#####.#####.##.###.#..#.##.#.#.#.#.#.#.##...#..#.##..#......########...#.##.#........##.#.####..#.###.#.###...#.#.#######.#......##..#...##.###...######.##.#.###......#
###..#...##.#####.#.#.#####.##.##.#####..#.#.##....##.....###.#.#.#####.#.#####.#.#.###.#.#########.#.....#######.#.#..#########...#######...##..###.##..#..#####..####.###..###.###.####.##.##....##.##.....##.##.###.#.###.#..##.##....##..##############..#...#########.##.....#..####......#.###.#..#.###...#####.......#........##..####.##...##..#.####.#..##..##.##..##..########.##.##...#.....#..##..#...##..#....#.##.#.#....#....##.###########.#####.##..##.####..#.#.#.#....#.#...#####..##...#.##.##.#.##...###.##.#.##.###.####....##########.###.#.##..#.######.#.##....##..##..#.###.##.#....###.#.......####.#.#.#.......###..##.###.##.#...#...#.##....###.##..##..##.#.#.#.#.#.###..#.#.##....##..##.######.#.#....###.#.....##.###.##.##.####.##..##...###.#####.###.#.####..#...##.##.......#.#.#......######.#.##.#..##.#.#........#...#..#..#.....##.#####
#.##.###..####.##.#.#.#.#.#.##..#####.##.#....####.##.##.##.########.####.#.....#.#.#######.#.##....####.##.##........##..##.....#.##.##.###.###.###.##.###.##.######.......##.#.....##.#.#######.###.####.#.#......######...#.###..####..##.#.#.###..#..###...###.#..#.####..###.####....####.#.#.....##.#...#.###########...##.###.###..########..##.####...##..##.##.#..###.##.#.##.#.####..#.#.#.#.##.###.###..##...#.##....#.####.####.##..##.........##.....#.##....###.#...#.###.######.#.##..#####.#.......#.##.####..##...##..#..#..#.######.#......#.#....##....##.##.#.###.#####.#####.#.#.#..##.####..######.##.#....#.#.###.#...##..###.####.#.###.###.##.####.#..#.####.#..#.#.#...#.....##.#..#.#####.##....##...#...##.##..#.#####............########....#...####.....##.#......##.####..##.##.#.#...####.###.........#.#.#####.###.##.#.##.##.##.##.#####......#
#.#..#.#.##..#...............##..##.#......####....#####.#..##............##.##.#.###.#..........##.#..#..#.#####.###.###..###.#.###.....#.....###...#..#...#......#..#####.##.##.#.##....#.#.#.....#.#..###.####.#...#.####...#.##..#.##.##.......##.##..####.....##.#..########.#.#######........##.###########.#.#.......#.##.#.......##..#.####.##.##.###..#.##...#.##.##..#.........#..####.#.###.#...##.#...#####.#######.#.##....#....##.#..#######.######.#.##.####...###...###..###...#.###.####....#.#.#.......##..####.####.#.##.##.##.#...########.###.####.####......#.#..##.###.##....#.#.##..##.##.##.#....#.#.####.#...####.####..#...##..#.#...######..##..#.##.##.#.##.#.#.#.###.###.#....##.##.#...##.#..###.#.########.#....###.######.##..#.##.##.#.##.#....#######..#.###.######.####...#####.#....####..##.#.#.##.#.##.##...#..#.###......#.....##.##.#####
#...##....##.##.##.#.#####.#..#.##..######..#.####..##.....#########.##.#.##.#..#.#...##.#.###.#.##.##...##..#.##.#....###..############...#.#############.##.####.#####....#..##########.#.#.#####.#.##.##.......###.#.#.#..#...###.......#######.....##.#.####.#....#.##.#.##.....#.#.....##.#.#.##..##...##......##.#.##.###..##.#.##..##.........#.##.#.##.#..###...#...##.###.#####...##.#..###...###.##.###...##...####.#.#..####.##.#..#.##.#....##..##....#..#.##...#...###...#.##.###.#.#.#..##..##############.##.##.#...#.#......##..#.###.#.###.#...##.#.#...#.#####.##.#.###..##.#..####.#....##..##..#.##.#........#.#.#...##...##.##.#####.....#....#.##.#..##..#..#.#.#....#.#.###.#####.####.......#.#..#####..#.....##...#.####......###..##.......#.######.####..#####.#..##...........##.##..####.##......###############.##.###.##.####.###...#.#...........#
###..###.###....##.#.#.....##....##.###..#.##.##...#######.#.###.##..####.#..##.#.###....#.##..#######.#..##.#.##.###.##.##..##.##.##.######.#...........###..##.......####...##.##.............##..#.##.####.###.#...#.#.######..#######.##...#######.##........#.##.#.#..#..###.#.....#.#.#..#.#.#..##..#....####....#.##..##.#########.##.#.#####.#....#.#..##.#.###.##.##......#.....#......######........#.##.#####..##..#.##.##....####....######....######...##..######.##.##.##.#..#.....#...######...#.#..##.....#.##...#.#.###.####..##.##......#...#.#....###...##....#......##..#.#.####..##.#####.##.##.####.##############..##.###.##.#..##.##.##.#.##.##.#.###.##.##.#.##.###..........##...##.##########..#..##...#.######.#.##.###.####.#####.###########.#####.#.##...###.####.#.#.####.######..##..##.#.##.##.#.#.#.##.#....#..####.....#####.###.#.######.####
#...##.#...######..#.###.#######.#..#.##.#.##.####..##.###.#.#....####.#####.##.#.#...##.#.#..####.##..##......####.#.##..#.##...#.#....#.#########.##.#..#########.##......#.....######.#.####..##.#.#...###########............##........##.##..#..#.#############..#.##.##.....##.##.#.####.#.#.##..##.#.##.#....##.###..##....###...#.#..####.##.####.#.##.##.#.##......###.#####.##.########..#...#.####...##.#.#.#.####...#..#####.#######.##.#.###.##.##.##.###.##.##...##.##..####.#####.#.#####.####.#.##..##.##.#..#####...##...#.##..#..######.###.######...#.#######...#.####..##...##.##.##...##..#...#.#.##...##.####.#.###.####....#.#.##...#########.##.#........##.#.#......#.###.####..####.##.###.##..##.##..#####.##.#.#.................#...#..#.##...#.##.....#.########.###.#...####.#.#..##..###.####...............#.##.##.###.#####..#..##.#......###.##
#.#..#.#.###..##..##.#...#.......##.#....#.##.#.#..##....#.#.####.#.##.#.#.##########.#######.#.......####.###...#....###...#..#.....##....##........####....#.#....###.#######.#.#.#.##########.##.#...###.###.##.####.#.#.#.##.##.######.##..##.##.#..##..#.#.#.###....#..#.#.#########.##...#.###..########.###.##...###.#..####...#.....###.....................###.#.#.#.###.#.######..#.####.###.###....#..........#..###.##...#.#.#.#......#....##.##.#.......#.#...###.#..###.##.#.##......#.##...##..#.#..###.#....##.##..#####.##.##.##.##...........#..####.#.#.##.####.###..##.##.####.##....#####.##.##.#.#..#.#....#..#...###.####.##...###.######.#.#..#.#.#########...###.####..##.#..##.#..#.#......#..##...#.####...##.....##.#.################.##.#..###..##.####..##........#######.#......######......##.##.####.#########..#..#####....###..#.##.#.#..##..#
####...#.###.####..####.###.#.##......##...##...##.#####.#....##...........##...###...#...########.##.##.#####.#...##..####...##.##.####.#.####.##.####.####.#.######.#.####.####.......##........#.###.##..#...#....##.#.######.####.......##.##....##.###.#.#.......##.#.######..##......##.##..##.######..#####.#..#.#...#.###.######.####.##.#.#.####.###.#.###.#.#####.#.##....###.###.#......#.#.##..#####.#.####.##.##....###.......######.##.#.....#.#######.#.##.##.....##...##.#.#..####.#.##.#####...#.##.#.###.###....##.##..##.#...#..##########.##.##....#.#.#..#.#...###.##..#.##.#.##.####.##..##.#..#...####.####.##.#####..###.##.###.#..#.##......##.#.#.#.....###.##..####.#####.##..#.##.#.######.####.##.#..###.##.##.#####..........##.#.........#####..#..#.##....##########.....#.###.##...##.##.###..#..#.#####......####.##.#...##...#.#######.##....##
###..#..........####....##..#####.#.#.####.##.###....##....#######.###.##.####.##.##.####..#.#.########......####.####..#...###..#..##.###..##########.......#.###.##...#......###.##.#..######.#.......###.###.####....#####....#.########....#####....#.#.#...#.#.#.##...#.#..##.##.#.#.#######.#..#.##.##.###...##.#.########..#.##...####.#############...#####.#.##.#....###.###.#.....###.##...###..##.#.###.###..##..####.##..#####.#......########.....##.##.#..#.######.####..#.#...#####...#..#.#.###......###.#.#.##.#..#.#..##..##.##.###..#.......#.#####.#...##.#.###.#.#..##....#.#.#..###..##.##..#.##.###.#....##..#.#.#.##.#.#.##..##...##....#.##.#....#...######..###....####.#...##.#..#.#...##.#..##.......##...##.####.####.#.##.##......##.######..#..##.##..##.####....##.##.####...#....######....#.###.....#.#.########...#...###..#.#...##....##.##..#
#.##.##.#.###.####.####..#####....#.###.##.....#####..####..##..####...#####...#..####.###.#.#...##.####.#.#.##.####.##...#.#...######.#...##..#..##.#####.#...#.#..##.###.#.#.....#####..#..######.#.#......#...#.##.#.#...####....###.#.##.###.#.##.#...#.##############.#.#.###..#######.....######...........#.####.####.#.##...###.##.....###.......#######..#.#.##.###.##.#.##..#####.########..##.##....#####.##....####...#.######.######.#.#.#.###.####..##.##....#.#.#.#..##.#.##.##.....#.#.##.....###.#####.......###.##.##.##.##..##...##.#######...#.#.#.##.##....#.......###.####.#.#.##.##.##..##.#........#.####..##.....##...#.##.##..#..#.############.#.###..##..##.#.#####.#.##.###...##.#.###..#.####.#########.##.#.#....##.#.##.##.###########.#..##.##...#.##...#.#.#####.#.......#.#.##......##.########.##.......##.#.###...############..###.######.##
#..##########.#.#...##..#####..######......###.#.#.#.##....##..##.####.#.#.###...##.##.......###.#.......#.#..#.........#######.#......#.#..##.##.##.....#.###.....############.##.#...##.##.#.##...###.####...#....#######.#.#..##.#......#.#.#.#.######...#..#..##.##....#...##..###.#.######.##.####.###.########.####.......##.##...#####.##.#######..#..#.##...#.##.#.#.#..#.###.##....#.#....##..#####.#....##..###.###.##.#####.....#.#.##.#......#..#..##....###.###.#.#.##.#..#.###########...######......##.####.####....#.#......##..##.##..........###.#.#.##..####.#.#.###.#.#..###........##....##..#.########....##.#..########.#..#..##.##.#.#.###..#.#......###.#..##............##.#.#.###.....###....##......##....##.....##..#.######.......####.#.#.###..#.###.####.......#.#.##.###############.##..#..#.##..##.#.#.#......##..###...#.#.#.###..####..##...#
##.##....#....#.#.#.###.#...##.###.####.#.##.........#####..##.........#.#.#.###.##..####.##.#.....##########.#######.#.#..#.#########.####.##.#..######.####..#.#..#..##.#.#....#####............#.#...#....#.##.#.............##....####.........#.##.###.##.#.##..#####.#.#####.##..#.#.#....#....########..........###.#.##.#..####.#.#....#.#.#...##.##...####......#.#.#.##.#.#.###.#...####.###..##.#####.###.##.#.##..##..##.##.##........######...##.####.#...#.#.......##.##...#.#.###.####.##.#..###.##.....##...#.####...##.#######..#.#########.#...#.#....#.##.#..###.#.....#.##.###.###.####.#..##....#.#.#.#.##.#....######.#....##.#####.......#..##.######..#....#####.###########.#.....##.####...####..##########.##.#####..##....###.##.##..#.#.#.#.#.#.##.##...##..###.#........#.....##..#########...##.########.###.#.#####.##.#.###...#...##..####.###.##
#.....##...##.#.###.#.#####.####......#######.##.#.#..#....#######.#.#...#.#...#....##.#####.########.#.#.#.#.....########...#.##.##....#...##.##.#.#....###..#####...##......#.##..##########.##.#.#.#.#.#.##.#..##.#.#.##.###.#..#.##.##.#######.#.#..##........##..#......#.##..###.....####.####..##...###.#.#.##.##.######.##.#..###.####.....###.......#......##.#........#...#.#.####.##.....##.##..##.##.##...#.#.##.##..##.....#..####.#.#......#..#...####.#.#.####.##....###.##.#.#.#.#..#.##...##...####.#..###.#..#####......##.#..##..##.##.######...####...##.##...#####.###..#..##..#####.####..##.###........###.#####...#.###.##...#.#..#######.##..##..##.##.#####..#...#.....##..#.#####.....##.##..##.##.#.#.#..........######.#.#.########...................#....##.######.#.#...###..##.#......######..#.###.##..####..##.#.##.#.#.#.###.#####........####
#.##.###.#.#.....#....##....#.#####.#..#.#.##########.####.##..#########.#.###.#.#####.#.#....................###.#.##.#...#.......####.###.##.#..#.####.#.####.#.#.#..###.##.#..##.#.#.........#############################...##.###...######.##.....##..##.###..##.####.#....##.#.###.###......##.#####..#########.##..#.#....#.##.##.......#.#.....##.##.##.#####..#######.##.###.#.......####.##...##.#........#.....##..##.####.#######.###.#.#######...###.#..#.#...##..##.#.#...##...#.#.##....##.##..###.#####.......##.....##.#.##.#.####....##.#.##.##.##.#..#..#....####.#....##.#.####...#.#..#.##.##.#.##.########....#.##.##.#...##.###.#.###.#.##.###....###........##.#.###.#######.#..##.##.####..###..#.#....#.##.#######....#.#####.##.##.##.####.#.#.#.###.##.#.##........####.#.#..#####....######..##..##...#..##..######..#........#.#.#...#.#.####.#....#
######.#.#####.#.#.########...#.....##.....#.#..........##.#..##.###.......#...#.##..#.#.##.#####.###.####.##.#...#......#########.#.##.##.......##.###....#........##......######......#.########..###......##.###.#.#.#..####..#######.##........##.##..######..##..#.#####.###..........######.##.##.###.#.##......###.#.####...##....#.#####.#.#.#.##########.....##..##....#..##.#######.#.....###.##.########.#.#.#..#.##..#.##.###.#.#.###.#######.##.##.#...##...#.##.#####.##.#####.#.#..####.##..#####...##.#.###.#######.##..#.#.....#.#.####..#.#......#.#.###.####...#..##.###.........###.#.##..#.#........#####.#.####.##....###.#....#.#.#.#....#.#.####..#..########..#..##.#...#.#.#.##..##.##...##.#.##.#.####.#.....#########..##.........##..###.#.###...#..#.#..##.#######.##.####.......####..#.#.##..####.##.######.##.##.#.########.....#...####.###.#.##
##.###.####.####.#..#.##.####.#######..#.#...###.####.#....#.###.#.#######.###.#..##.#....###..####.####...#..###...#######..........#.....#.#.#..#...##.#...####.###..##.#.#....#.#########.....#.##.######......#.......##.#####.......##.#####.##...#.###.#.##..##.#.#.#....#####.###.#............#.#.#.#.#######........#####....##.###.....#.#####...##.....###..##.####.##.##...##...#...###.#.#.##.##.#.#.########.#.###...####.......#...##......#.....########.######..#......#.##.#.#.##.##.##.##.#...#......#....#.##.#####.#####.###.#..##..##.##.###...###.#.##...###.##..##..#.#.######.....#.##.#.#.#.##..........##.....####.....####.#.#.#.##...#.#.###...##.#...###.#.##....###.#.#.##.##.....#.#....#....#.##.##.####.......##..##.####.#.#####.###...##.##########......##...#....#.##.##......##.#.##.##.#......#.#....................#####.####.....###..#
#.......##....##.##.#..#..###.#.#.###.##.###..############.#.#.#.#.#.......#.#.#.###.####..#..##.#...#.################.##..#.######.#####.#.####.#.######.#.#....####.#..####.#.###.....#.###.#....#.#......####.#######....#.#########.####..#######.####..#.###..#.......#.##.###########.#.######.....#....##.....#####.##.....##.####...#.###########..#############.#....##..##.##..#...#.#.............#...##.#.........###...########.###....####...#####.##.....##...##.######.#.#..#.#.##..#.##..#.######.#.#####.##.#..##.#...##.#.##..#.##..###..#.####.###.....###.###.###.#..######....#####...##...#.#####.###########.#.###.##.#.##..#.#.....######....####......#..##.#.##.####.#.#.........#####.###.##.####.##.##.####.########.##....######.##....##.##....#.##.##..#.######.##############.#.###....##.##...######...##.#.#.#.#.#.##.##...###..#...#.########
#######..####.........##.##.#.#.#.#....######.#.#...##.....#.#...#.#######.......##...#.##.##.##.###...#.###...............#####...........#..##.....##....########..####.##...#.....#.#...##..#.##.#.#########...#..#....##.#.#.#.....#.#.##.##.#......#.##...#.##.#########.##....##.##.###############.####..#####.#..##..####.#####.##########...#.#.##.#.#.##...#.#..####.##.###..############.#.#######...#....##.######.#...###.....#..###.#.#######...##...#####..##.##....##.#.#.##......##.#.##.##....#.######.##..#.##.#....###.....##....##.##..####.#..#.####.##...#....##.##..##.##.#####.####....#.#####.#........#.####.#.#.##.#..##.#.#.#####.###..####.###.######.##.#.##....#.#...#.#.#.#.#.#####.#.#.....#..#.#...........##......####.#.##.##.########.##.......####............##...##..#####.##.####.####......#.##############..#.#..#...##.#.#####......#
##.###..#########.###.##............##.###.#....###.####.#...###...##..#.#######.####............#####.#.#.###.#.#.#.#.#.#..##...##.##.########..##.#####.###.#.####.##.##########.#######.########.....###.#.###.##.###.##..#.#.#####...#.##.#....##.#...###.##....###.#.###.##.##..#.#.......................##..#####..##.#.####......##.##...###...............#.#.##.......#.##..##.#..##.#....####......######.####........#.#.#####.##.#.#.####..####.####.##..###.##.#####.#..#.#.#######....#....##.##...####.#.###.#.##.####.#######.##.####...##..##....##.##...####.#.####..#..##..##..#.#...##..##.#.......###.######.#.#......#####..#.#.#.##.##...#.##....#........###.......####.#.#.#########...##..#.#.#####.##.#.##.#.#.##....##.###..#.#.#..##...#.###...##.#.##....##.##.##.#.#....#####....##.##..#.#.#.##.######..#.##.......##.#####.#.####.#.......######
#....##.##..##.#..#....########.#.#.####.#.####......#.#####.#.###.###.......#.#.#.#..#.########.#.##....#.#.#########.######..###..#######.#.####...##...#.......#......#.#.##.#..###........#.#...###.#.#.#.........######...#.#.....#........#.#######.#....####.#.#.#.#....#####.....#.#.#.###.##.#.######.##.##.#.#.##.......######.##....#.....##.###.####.#.#......##.##....##.#..#.##....##.##...#.#.###......##..##.#.#.#.#.#.#......#.####.##.#....#.##..##......#.#.#.#.##......##.#.####...####..#..###.#........#.#..##.....##..#.##...####..##..###.##..####..#.#....#.##.#.####.##.##.###..##.##.####.#.##........#.#.##.###..##.##.#.#....#..#.###.#####.#.##.##########.######....######.##...#..##.#.....##........#.###########...###.....#.##..#.....#####..#.###.#######..###.###.##.##..#####.##.##...#.##...###..##....#.#.#.##...##..###..###.###.#...#..#
##.#.....##......###.#....#.#########.#.....######.#.#.#..##....##.#.#######.#.....##.####...#.....#..##.....##.#..###########.#...##.........#####.#####.#######.##.##.##......####...####.#...######........##.####.....####.#.#####.##.#.#.######......##.###.#........####..##.##.##########.#..#.###.........#......###.##.#####....####.##.##.#####...###..###############.###..#.##..####..############.######.##.#######.#...#.######.#..#.#.##...##....#.######.#..........#####.##..#.##.##.#########...#...######...#.###.#.#####...###.##.##.##..##.#.##.##.#..##.####.#.#....#.#.....##.#.##....##..#########.#.#####........#####........####.##.#.#.#.#......#....##..#.#..###...##..##.#...##.###.#....###....###.#.##......###.####.#.#.#####....###.##....###.#..######.#.############..##.#####...#..#.###.##.###.##.#..#.#########.#####...##..#....#######.##
######.#.#..#.#.##.######.#.#.##.#.##...###......###...##..####..#.#..###.#..###.#.#####.###.#####...#######.##.#.##..##.#..#..##.#########.#....#...##.####.........##....#.##.#....#.##...###.####.######.#######...#.###......#.###.#..######.#.######........####.###.#..##.##..###..####.#....####...##.#.##...##.#.....#...##.##.#..##...####.#.###.###.####..###.##.##....#.##....##.#####.#...###.#.##.##.###..####...####.#.....###....##.#..###.###.#....##.############.##...#..##.#.##.##......##.###.##.#####.###...#.###.#.#####.#.#..#.##.###.##...#..##.#.##..#.#..#...##.#.#.######.#..#.######....#.##...#.....#####.#####..######.###.............##.#######.####.#.#.##.###.######...###..#.#####.##.####################.....####....####.#.##.####.##...#.##.#.##.#.#.##.#.##...##.##......###.#.##.#.#......#......##..##.#.#.###..####..#.##.#####.###...#
#......#...#######.#..................#.##..#.##..#..#..##.#.###...##.#...##..##.###.##..#....##.###.##.####.#....##.##..##...#####.#.##########.##.##..##.########.##########..###.#######.##........#.#.####.##.#####.######.#.......##.#........#.###..#.##.#.#..#####...##...##.##..##.#..######....####.#.#..#..####.#.###.###.#####..######.###.#.####...####...........##...##.##.##.#..######..........#......###.#.#....#######.#.##.#....#.####.#...##.#.##.#.##.#..###...###.##.#....##....######.......###......#..###.##..#..##.....##.#.##.#.#..###.##..#.#..#.##.##.###.#..#...###..#.#.##...#..#.#.##..###.#.########........##.#.#..######.####.#####......######.#...#.....##...##...#..##.##..#.#.....##.#.#..#.#.##.......#####.##.##......###...#.#############.##.#.........#.####.##.##.####..#.##.#.#.######.##########......###.##.###.#.##.##........###
#.##.####.###....#...#####.#.##.#####.#######.###...###..........###..###....##...#...##.###.##....###.....#.##.#..#..##.##.#.#..#........##.#...##.##.##...###.#...#.#.....#..##...##......#..##.###.....##.........##.#.##.#.#.#.##.##..###.####...#.##.######.##.##..###.###.##..#..###.##..#..####.##....#.#.######.#.#.##....#...#.#.##.#.#...##.#.##.##.##..##.#.#####.##..#.#####.#..#.##.##.####.#####.###.##.##..#####.###.##...#..###.##....#...###.####......#....##.##.##...##.####.#####.##.#.######.#########.##...#.###.#.#######.##.#.##.#...##....##...##....#.#....####.#.###.##.#.#.##.###.#######.##.######.##....###.####....##...##.#.#..####.#..######..#.#.###...######.#####.#####...##.#...#####......##.#.##.#######.#.#.##..#.#######..#...##.##.#.##.##..#.#.#######...........#####.##.#.#.......##.##...##.###.#.###.##.#..#.#.###.......##########
####.#..###.####.#####.....#.#..###...##......#...#..####.######...##.#.####..###.#.###..#....#.#.########...#####.#.##...#.####.##.#####.##.###........###.#.#.#####.#####.##..################..#.#####..#####.#.#....#.#..#.############...#....#......##.##........###...##.###.#.###...##.##....#########.#.#...#..#########.###........#.###.#.....#.##..##....####.######.#..##.#.##....#.##.##.#####....####..###.##.....#...###.##.#########.###..####.#..##.#.###.##.....##.#.##.##.#.#.#...##...#.#....##..#........#.....#.#..##.#.#..#...#..##.#####.#####..##.###...####......##..................#.##..#....##.#..####...###.#####.##.####.#.#.####..#.####.###.#.#.##..#..##....#..#..#.#.###.##...#.......##.###..#..#..#..#.#...#.##.##.##.#....######...#.#.##.###...#.....###.#.#######...##..#......#.#####.....#.....#.....##.##...##.#..##.#####..#.......#
#....##..........#.##..###.###.##...#.####.###########.######....#.......#.#.##.#...#.##.##.#####.##.##..###.#.#.#....###.#####..#####.......##########...#.#.#.##...........#.###.#.#...###.######.#.#.#.##.##########...##.####.#.##.##...#.##.####.#.#.#.....##.###.#.###....#.....#.###.......#####.##..########.##....##.#.#.#.########.#.#.#.#####.#....####.#.#....#.#.#####.......####.#.##....##..##.#..####..##..#####...#.#....#.#.###......##.##......##..#.#.#..#####..###.#..##...#.#.#..###.#.####..##.##.####.#####.##.#.##....##...#.#.##..#.#.#.##..#.##....###....####.###..###.########.#####..#.##.####....##....#..##.#.###.##..#.#......#.##......#..##.#.#.#####.#####.##.##.##.#.#.#.#..###.#.#####....##.#.##.##.##.#.###.....#..#...####......###...#..#...#...#.###.###.......##.####.##.#########.#.###########.#.#..######.##.#.##......##...#####.#
##.#.##.##.###.#......##....######.####.####.#.....##.......##.#######.#........###....#.#...#.#...#.###.#.....#.####.#....##.##.#.#.#######....###.##..#..........#.#.#.###...#.....###.#.#............#.##...##..######.##..##........#####.#..#....#.######.##..##..#..#####.#####.....#######.#.##...#.##.#.##......##.##.#.#.#.#.#.##.#.#.#...##......#.##..########...#.#.#.####.##........#####.###.#####.#..##.##.##...##.##.####.#.#.#.#####.#######.#.#.#####.#.#.##.#.##..#..#.#####.#.####..##...#.#..##...####.#####.#.##....####.###.####..##.#......##....#.####.#.####.#...###...####....####...##......##.##.#######.##.##.#.#.#.#..##...####...###.#####.##..#.#..####.#.#..................#.####.#...######.#.....#.....#....##.########.#......#.#.##.##.##.##.###.#.#...#.####.#.#.##..##.#.##.##...##.#.#.#....##.#.#.####..##.#...#.#.#..####..###.....###
#..###...###########.##..#.##.#.#####....##..#####.#..#####.#####....####.#.#.#.....##.....#...###.#.#...###.#...#.##.####.#...#.#.#.##..######......########.###.############.###.###...#.##########.#....###..#.##...#.....#########.##..########.#.###.......##..##...##.##...#.##.##.##...#.....####.#.##....####.#.##.#.................#.###..######.###..###.......#...#.#.###########.##.#.#.#..#..#.#...##....##..##.######.##.#.....#..###....###.#######.##.......#.#..##.##....##.#.#...###..#.###.##..##.##.....#.#.....##.####...#...#.##.##..#.##.#######....###.#..##....#..#..####.##.###.#..####.#######.##.#.##....#####...#.#.##..#.#######.##.#...#......##.#.##..#.#...#######.#.####.#...#..#.#.###...##...#.#...#####.####.......#.#.##.##########.##.##.##.#.#####.#......#.###..#.##..........####.......##...........##..#.###.#.....##############..##
#####..###......######..##.##...#.#.####.###.........######.#.#.####......#.###.##.##..##.####.......###.#######......#....###.#...#..##.#.###..###.##.##.#.#######.#.##............####.#.#.#.##.#...##.#.#.#.##.#..#.####.###.#.#.....##.#.##.##..#.########.###.#####.....###.......######.#####.#.##....###.##.######....##.##.#.#.#.#.#...#.#.##.......#..##.####.######.#.#.#..#..#..#####.#.#.##...##.###..####.##.###...##.#.#....###.#.##.##.###...##.#.#..########.#...##..####.##....#.###...##..##.##.##...####.##.##.##.##..#.###.###.#.##..##.###..##..#...####.#.#.######.##.#.##.#.......#.#.##..#.##.##....#.#.#####...##..###...#..##.###..####....###.#######....##.#.#.###########....#.###...#######..####.#.#.###.........##.#######.#..######..##...##.##......##.##.#.#.#####################.###..##.#########.#.########.##.##....#.#..#.....#.###.##..#
#.....#########........#####..#......#.#..########.###...............#.##.#.#....###########...#####.#...#..#.#######...##.#.#.###...##....#.#####..##.##....##.##.....#########.##..##....#....#...######.....##.####.#..#.##....#####.##.#.#..#######.#..#####.####.#####.##.#######..#.#....##.#....#.######.#....#..##.###..####.#.#.#####......#######.#.##.....###.#.#....#.##.##.#.##.#.......####.##.#.##.##.#.##.#.##.##......#####....#...#.#.#.####...##..........###.##.##.#..####.##...###.#..##.....##.###.#...#..###...#.##..#...##....##..#..###..##.#.#.##.#.#.#..#...###.....#.##.#.##......##.#.....###.##...#..##.###..##.###.##......##...#####......##.##..####................###.##.###.#.#.#.##..##..#.#.#..##.#########............###.....#####.......##.#.....########..##.##..##.##..#...###.##......#...#.#...#....####.##.#######...#####.#.#.#####
####.##.........#.####.######.##.###...#.##.###..###########.##.#.##.###..#.##.#.###....##.#########.###.##......#....#.#.......####.#####.....#.##.#..#####.#..######.#.##......###.#####.####.########...###..#.###..##....###.##.##.....#.##..#.#.#..##.#.#...##............###.##..##.####.#....##.#...##...####.#.##########.######.#.....#.##.##.##......##.##.##......##.........#.##.#######.#.#................#.#.#.....#.#######..##...###.#.#.##.###..###.#.#.##.........#.##..###....###.....#######.#...##.###.#.##...#....##.#.#####.#####.#.##.#.##..###.##.#.#.#.##.#########.#....######.#####.#.#####.#.##.###.##...##.##...##.#..###.##..#..#.#..###.##..#..##....#.#.#.#.##.#.###...#....#.###.#....####.###.#.##............#.#.#.##.#...#.######.#..####.##..#.#.####...#...##..##.##...##.##.##......##.#...######.##.#####.#.#........######.##.......###
##....####.######.#.....##.########..#..........##............###.#..##..#########.##.#.....##.....#........####...#.#######.##..###.#.#.###.#......##..##.#.##.#.###.......#.#.##.#..#.#...##..#####.#..######.#.#.##....#.##.#.#..###.##....##...#.##....#.###.####.#.#.####........###.#.#..#######.##.#####.##......#.#..#.........############.##..#.##.###..#..##.##.############.#.##.#.#.....#.#.#.#.######.##.##.#.##.#.######.....#####.#.#...#....####...#######..#.#####....#.##.##.###...#.#####.##..###.##........##.#####.#..#...#.#.#.##....##....##.##...#.#......#.###...#.#...##..#.###.#..#......#.#.#.##..##..##.##...###.##.#.######..###...##.#.#####.#.#####.#############...###.#.##.#..#....##........###..##.#.####.#.##.#.#.####.###.#.##.#.#.##.########.####...###.#####....#..###...#....##.##########.######....##......##.#.#..##..#..##.######.#
#..#.#######...#######.##..#.##.#.########.####....##.##.#.##.#...##.#####.##.#.#...#######..#####...###.##.####.#######.#######...#.#.#..#########..#.##...........####.##.#.####.##.#.##.##..##.....#####.........###.#.#........##.######.##..#....####..........#####..#######.##.#.#.#.##.........#..##.#...######.#.##...##.###.###.##.####...##.#####...#####....#..###.#...........#.#.#####...########.....#...#.#.######......#.###.###.#.##.##.####.###.###.#.###.#.#..#####.........#######.#.##..###.##..#########..###.#.#.##.#.###...#.#..##.#####.##.#..#.#.######.....###.....#..#.##.#.####.#.######...#..##..##.#...###.##........#..##.##.#####.....#.#.....#.#.....##.#.#..##.#...#.#..#.##...##..#.#.##.#.####.##.#...###########....#...................#.#..#.##.#.###.#.##..#.#.##.##.###.#.##..####...........#.#..#####.###.########.##.##.##.....###.#
######....####...#.#######...#.....###.#####.#####.##.#..#..##########.....#....##.###..####...####.##....###....#....#..#.......#.....##.#.#.#.#.##....#######.#####.####..###....##...##.###..#####...##..#.#.#.#...######.####.###.##.#.#.##.####.##.###.#######..#.#..##.......#..#...#.########.#...##..#.###.##......##########.#........#..#.#..#.#...#.#...##.####.#.....##.#.##.#...........#..##..##..###.###...#..##..#.#.####.#..........#.#....##.#....#......######..#.####.#.###.#.#.###.#..##.#.#..##.#.##......###...........#.###.#.##..###.....##.####.#..##..###.#######.########..#..##........##.###.###.##....###.#..###.#.##.#.##.....####..#.###.##.####.#.#####......###.#.#.####.####.###########..#.#..#.##.#.#.#.#.##.#.##.########.##.##.#.#.###.....#####.#.#......#.####.##.##.##.....######..#####.#.###...####.....#....#.#.####.##.##.#####.#.#
#.#.####.##.####.....##.####...#.#.......##........#..########.#.##.######.###.##..#.##....###......#..#.##...#######.##.#############.##.......#.###.#..##.#.#.##..#..###########..###.#....##...#.#.#....########.####.##..##...............####..........#.....##.....##..#####.##.##.##.#...###..#.#..##.#.#....####.###.###.##.#.########...##.##.#.###.#####.##.##.###.#####################.###.####..############.#.###.######....##.###.###...#.#####.####.######...#####........#.#.....#.#...##.##.....##.....####.#.....###.#####...#.#.#..#.########.#...##..#.####..#......##..#########...##..#.#.##..#.#...##...####...#.##.###.####....##.####....##.....##.####.......#.###.##.#.###...##..##.........#..######.##..#######.........#........#.##..#.###...#.#######.#.....######..##...#.##.##.###..##..##.#####.#####.###..###.########....##..##.....##.#...#
#.#...##.#.......#.#....#.#..#.#########..#.##.#.#.#.##.....#................#.###....###.##...#.##.##.#####.###............#####.####....#.###.......##.........##.#.##.#....##.#.##.....##..###.#.########.#.#.##..##...#######.#.#########..#.#####.#.#.####.#..#####..####.#.####....##.###...#######.##...####.###..#.#.#.#.#....#.##.#.#####.........#..#.#...###..#####.##....#.#..####.#.#.#...#.#..##.##..##.......#...#.#..#########.####..#....##...#.....##.#..###.#.###.#.#.#####.##...###....####.#..###.####...#.#########.#...#.#.#.##...##..##.....#..##....#.##.##.#######.#.#..#.#..###..##########.#.####.#..##..#.#.##.#.#..##..####..##.##.#..#.#####.......#.#.#.....###..#.####.####..##.##.#.#...####.##.###....#.#..#.##.#####.##.#.####..##.#######.....##..#.#.####.#.##..##.##.##.#...###....##......#...........##.......##.#.####..####.##.#..#.###
#.#.###..#######.######.....#####.#######...##.#.##########.###.############.......##........#.####.#..#.....##..#.##.###.#............#.#####..#####..##.#####.##.....#.####.##......#.#..##.....#.#######.........##..#.........#.##.....###.#.#.#.###.####...##.......##......###..##..#.#.##.####.#....##.##.#..#...##.#.#.#.####.#.#....#...#####.#.#.##...###.##..##.....#..##...##........#####.....##..#..###.#####.#.###.#.##..........#...###.#..###.##.##.#....###..#.###.#.#.#.#.######.#.##.###.##.##.#.#..#.##.####.....##..###.###.#..#.#..#.#######.####..#.##.#..#..#.#.#.....#.##.##...##...#.#.##.#.#.##.###.####.###.#..#.#.#######.#.##..##.#######....##.##.#.####.#.####.####..###.##############.###.#.#..#.##.#.....##..#####.######.#.######......##.###..##.#.####.#.#..##.#..#.....#.###.##.#....####################.##.#.#..#.##.#.###.#..###.##...#
#...##..##....#####.....###..###.......##.#.#..#.#...........######.#.#########.##..###.#.#.##.##...#.##.#.#..#########...##.#.#.###.#.#.#.....##.....#######...##.###....#...###################.....#.....####.##....###.###.#.##..###.#..##.....#.#####..#.#.#..#.#.#.####.##.....####........##.#.##.#....##.##.##.##......#.#....#.####...###.....###.##.###....##.######.#######..########..#....##.####.##.#.#####...#..##....##########...########..##.#####.####.#.##.#.#.#######...####.#.#.##..##..####.#.##...####.#..###.###.###..##.#.####.##..##......##..##..#.##...##.#.###.###.......#.#..###.#.##.#.#..#.##...#.#..##.##.#......###..#.##.##...#.##.####.####..###....#........###..#....##...#.#.#.#.#.#.#.##...####.#######............#.#....#.#.##############.....#.#.#...##....##.###.......#######....#.##.#..#.#.#.##...######.#.##.#.#.#.#.###..##.###
###.###.#####...#.#.##.##...##...#.###....#.################.#.............##...##.##...###.#######.#.#..########.##.##.#.######.##..#.#.#####.##.#####.....###.#########.###.#....########.#.##..#.#...#.###.....##.###############.######....###...#..###.######.#.#.#.#....###.#.##.#..#.#.##..#.#..######.#.........######...####.#....###..#..#.#.#...#..#.###.##...####...##..#..###.##..##.##.#.#####.#.......##...#...####.###..###.....#.#..#.#.##.....##....#.#.#.##.#....#.#..###...#......###..##..##....##.###.##...##...........##....#.#..#..######.#..#####.##....#......##......##.#.####.##.#........#.##..##.##.#.###.##...######.##...#..##.###.##..#.#.#.###..########.#######.#.##.#####.###.#...#...#.#.##.###.##..###.####.######.#.#.#.####.######.#.##..##..###.#.#.#.####.#####.#########......##.####..#...##.#.#....####.##...........#.....##..#...#
#.#.#....#..###.....#########..###.###.#.####.......#.#.###....#.#####.###....#.##.###.######.############........##..#####.#.#..#..######.....############...#.#.##..#.......####.#..#.#.#.#.########.##.####.#.######.#.##.##.##...#..#.####.##..#...##.#......###.#####.####.###.#....########.#.#.###.#.....###.#.#......##.###...####.####.#.##.#####.##...##...#.###....#####.##.##.....##..####.#.##..###.#.#..###.#.#........##.#.#####.#.##.#.#.######..####.#.#.#....####.....##.###.######.#.#.####.###.#..#..##.############.#.##..####.#.##.#.####.##.##..##.#.#####.###.######.##.########...#..##.#######..##....##.......####.....##.#..#...##...#..##.##.......##..####..####.###.......###.#.##..##.######.#.#...##..##........##############................#.####.#####.#.#...#..#..#..........#.##.#..#####..##.####.#.#.####.#..##.####.##.###.######.##.###
#...##.#...##...#.###.#.####..####.#...#..####.##.#.........#.########.####.#.#..#..####...#...##.##.#..######.##..##..#.#....#######.#.#..#.#.#..........###.....###.#######.#....##.#.#.#.#.#.#...#######.#..####.##..#........###.##...#....###.#.#..#.##.###..#...#.#..##....#..##.#...##.........#.....#.##############.##.#.#.#..##..#.#..#######.##.#..######.....####...#.#.......###.###.#.#..#..##.#.######...##########.####......######......#.#.###....#.#.#.####......#.#....###.#.##........#.#.#.####...##...##.##...###.#####..#......#.#..##..######............#.....#.#...###..#.#.###...##....##..#.######..#####.###.##.#####..#.###.###.###.###..##.########.#..##.##.....##.######.#....#.##....####.....###..####.##.#####........#.#..##########.#.#....##.....#..#.#.###.##.##.#######.##.#####..#....##...##..#..........###.######..........#.......#
###.######....#.#.#..........##....#.#.####..#########.#.#.####........#..#.#.##.#.##.####.###.#.......##...#...##..##.#.###.##.##.##.....########.#####.##.#####...#.##.#.##.##.#..#.......#.#.##.##.#.##....##....###.#######.#########.######.###.##...#######.##.##.##.#..##...##..##.##..##.####...#.#.#####............##.#.####..##.#.##.##.##.#....##..##.##.##.###.##.##.####.##.#.......#.##.#.##....##.##..####.#..##......######.#.#.#######.........##...#.#.##.######.#.#.##.......######.####...#.##.###..##.###..##.##.#####.##.#.######.#.###.##.##.#.##.##.#.##.#.##.##.##.#####.....#.#.###..######.#..##..##.##.##.##.......#.##...#.###.#.###.#.#.##........####.##.....#.#.......###...####..##.###..##.####.##....#..#.......###.####.##........#######.##....#####.##....##.#......#....#.##..###..##.##.#..#..##...#######.##........###.##.###...####.##
###.#.#..##.###.#.####.##.##.###.########.#.####.#.##..###.##...####.#.##...#..#.#.#.........#.##.##.#.####.#######........#.##....####.#.##....######.#.#....#.###...##......#####.#####.#...#.#.......#..######.#..#...####....#.##.......###...##.##.###.#..#...####....##.#..###..############....###.#.#...############.##.#.##.##....#....#..#..####.#..###..#.#..#.#....#..#.#########.###.#....#.####.###.###..##..##.####.####..#........##.#.#####.#####..#.....##.##.#.#####.#..#####..##.......###...##.....##....##....#..##.........#...##...#.#.#..##.#.############.#.........#.#..###.#.#.#.##.#.#.#..#.####.##.##.##....#.##.##.##.###..##.#............##.#.#...##..#.###############.##.###...###.....##.......##.####.###.##.#...###.##.#..#.######.....#..#.##...###.###.####.#.#.##...##########.#####..#.##.#######...#..#####.########################..#
#.....##....##..#.###..##.#...#########.#....#.#......########.##....#.##.#.#.#######.#.##.#......####.#.##.#.#.#####.####.#.###.#....#########...#......####.......#....####...#.#.#.#######.....###.#...#####.####.##.##....##...######.###.###.##.#...##.##.###.##.###.#############.#..........##.##..#.###.#.###.##.#........#...####.####.##.#.##..#.##.#.#.##.##.#.####.##...#.#.########..####.#..##..##..#.##.##.##...###.##.##.########.......#.####.....######..#.##.#..#.#########.##.#####.#.####.#..#####..##.#####.#...##..#######.#.###..###...#.###.###....####.########.#####.#.##.###.#.#.##.....##.#..##..#..##..##.######.##.##...#.##..#.#.########..#.#.#######......#.#..##...##.##..#..###...#######.####......##...#.##.###.....##...######.##.#####.######.##....##.##...#.#####.##..######...##.#.####...##.#.##.##.##.##...#...#.#..##.#..###.#..#.##
#####.####.####.###...######.##.##.#.#..####.#.########........#..##.#.#..###..##.#...########.#.##....#.#..#....#..####.......####.####.##...###...##.#......#.###.#.#.####..#...............###.##..##.##...#..#.#..#.##########..#.#.......##...#####.##.........#...###.##.....##...###.#.#.##############......#.##.#.#.##.#...###.#...##.....#.###.#....#.#.#####.#.##....###...#.#.#....##.###....##..##..##.##.##.####.........#.#.....########...#..###.###.#.###.#..#.#.##...##.#.....#.#.....####.####..##...##...#..#####..####.#.........##.#####.#.#.#..#####..#.#.#.#......##..#....#..##...#....#####..#.##..##.##..##..#.##.####....###..#.##.#####.#..##.###..#.###..####.....##..####.###.#.##.###.#.##.#...#####.#.#######.#..###.#.#.####.#.##.#.#.....#####...#######.....#.###.##.##..#.##.##.##.##..#.#.#..####.#.##.#........###.###.#.##..#.##.....#####
#.......####.##.##..#.#..#...##........##.##.#.##..#.#######.#.##..######.##..##..#.#.#........#######...##.####.#.###.####.##.###..........#..###.#####.#.##.####..#####....######.##.#####.##...#..##..####.##.#.##.......#######.....#####.####..#.#...#.#.#.###.#.###...#..#.#....#...#####.#...##.#####.######........########.##..###....###....#....##.....#.##..#..####...###.#.#.####..#.#.####.###..##.#..##..#..#.########.##.#####........###...##.###.....#.#.#.##....###.#..#####.#.#####..##..##...#####..###.#.####.##.#.##.#######.####.#.##..#.#.#.##..###.....#.######....##.####.#####...####.#.#.##.#..##...#.####.#.##..#.#.#######.#.....##.#.#.##########..#..##..#########..#.#.#.#.............#.#.#.....#.#.#.##.#####...#######.#..#.##.....###.#.#.###..#..##..##.##........###....#..#.##.##.##.#.##.#...........#.#.##.#.#.#.#....##....##.####.#.#
#######...##.######.####...###########..........##....#..###.###..###.....#######.######.#.###.#.....###...........##.......#....##########.##......#.####.##.#....###.#..##.#......##.#.....#########..##..........####.##.#.##.#########.#...#.##.....#########.......###.####.##.####.###..#####.##.#..#..###.####.#.#.####.#.....##.#.######.####...#.##..#.#....##...##.####.#.#.#.#.##.##......##....#.##..#.####...##.#.##......#.##.####.####...###.#...######...#.#..##.####..#.##.....#.#..###..##..###.##....###..#.##....#.#.....###....##...#..##.....#.##.##.#####.#.##.#...##..#.......#..##.##.##.#.#..#.##.####.#..#.#...##.##.#...##.##.###.#...........##..#.##...###.###########.........#.###.##.##.#.#.##.######........#.###..#.####.##......#.#..####.#.#.##.#.####..###..##.#.###.######.##.......##.#..#...########.##.#..###.......######.####........#
#.....##.###.#.#.######..#..##.........########..####...##.########.####.##.#..#..##.#.#####...#####.....##.######....####.###.#............##.#.#.##......######.##.....##..##.#.#..###.##.##.........##########.#......#..#.....#.#.##.....#....#####..#.#.#.###.###.##...#.########.#.##..####...##.##.##.#.#.#.##.#.####.#.###.#..................#.#.#..#######.#..###...........#.#.#..#..####.##.##....##.#.#.###.###.#.#######.#.##..#####..##.##.#.##.##.#..###.#.##.#...##..##.######...#.##.#.##..##....####.#.#.##.#####.#.#.#.#...####..###.#.#######.#..#.#...............#..#.##.####.##.##.....##.#.#.##.##..##....##.##.##..##...####.##.##..####.########..##.##.####.........##.##.######.#...#.####.......###.#.###.#.##.##.######..#.#.#..#.######.##.##.#.#..#.#..##..####.#########...##...##.####.###...##.#####....#######..##.#######...##......#.##.#.#
#.#.#....#.#...#.#.##.##.#.########.############.#.####.##..##.##........##.##.##.##...##.######..##.#.#.#..##.....#.##....#.#.##.#.##.##.#.##############.#......####.########.#.#.############.##.#.###.........####.#.##.#####.#.#.##########.##...#.##.#.#..####...####...#.##........##..#.#.#.......#......#.##.####.#.#.#.#.#.####.#.###.#.#.###.####.#.#.#.....##.#########.#...#.##.#####....####.##......#.#.#.##..#.#.###.#...##.##..###....##.#....##.#.##...#..#.##.####.##.#..#####...##....##..###.##..#.#...##...#.#.#.#.####.###.##..#..#.##..#...##...#.#.#.#.######.########.##.####..##.####..#.#.##.#..###.#####.#...##..##.###.#.#..###....#.######.##............##########....##.#######.#....##.#.##..##.....#####.......###..##.#.#.##.###.####..##.....##.#.####..#.#.##.#.##...####.####....#.##..####..##...##..#...######..#.#.##.###..#########.###
#.#.##.#...##.##.#.#.....####.#.#.#####.......#......##.#..##...#######.##..#..##..###.#..#...#..#####.####.#..#.#######.#.#...#######.#..###.......#.#....#.#.#.##....###.##.###.###..###.##.#...#####.#####.#.#.##.######..###...........##.##.####....#.#.##.#.####.#.####....######.#####.....###.###.####.#...#####...#.#.#.############.#####.###.##.###.#.#####.##.#.#.#..######........#.##.#..#.#########.#...#..##...#.#.#.##.##...##.....##..#.####.##.#..###.##.......##.....##.#.#####....##.##.##....##...##.#####.#.#.#.######.#......##.##..##.##.####.##########....#....#.#....#.##.##.##....##.#.#..#.##.##......#.#.#.##.###..#..#.##.#.#.#.##......#....############.###..#.#.##........###########.#..##....#.####.####.#####.##..#.#....###.#..####....##.##.....#.#.##.#.#.....#.###.....#.#.########.##...###.#.#####.###.##.##...#..#.....###.#.##.#####
#.#.##.#.#..#..#.#.##.#####.#.#.#.....###.###.###.##......##..###..#..#..##.##.###..##.##.###.##.##.#..#....##.####.#....#.##.##.......##..###.#.##.....##.#.########.##............##.....#....####.##.......#.###..##.#.#.##.###.##.#.##.##.....#...##.#.#.#....#..#.#....####....#...#.#.###########.#.########..##.###........#.##...##...#.....#...#.................#.#.#.##....##.###.#......##....#.##.##..###.##..###........#.####..#.#######........##...##....####.#.#######.#..#.#..###.###..##..####.####.##.#.##..#.#.#..##.#..######..#..##.##.##..#.#..##.#.#.###.#...####.#.####.##.##.#..#.###.#...##.##..#.##.###.#.####.#.##...##.#......####.######.##...###.##.........##....########.#.##.#....###.##..#.####.....#.####.#..##.##.#.####...#.##.##.##..#####.####.#..#.....#.###.######.##.....##..##....###.#.###...#.........#.###.##.#####......#..##.#
###..#####.##.##.#..######....#...#.#...####.......####.#.###...##.##.####......#..##......#........#########..##.....#.##.####..#.###..##..####################...##.#..##.#.##.#.####.##...#.##.......#.###.#.####......#.##.#...######.....#.#...####.#.#.####.##...####.###..##.#.#..........##..#........#.##.###..#########....#.#..###.##############.#.#.##.#.#.#........####.####.####.#.#.#####.#.#...##.#.#..##..#####.###.#...###.###.###.##.#.###....#######...####.##.###..##...##...######.#..###.#..##..##.#.###.......##..##.###.###.#.###..#.#..##.#.###...#...#####..#.#.....##.##..#.#.#####..###..#.#..##.####.#....##.....#.####.##.###..#.###.......#.#........#.#.#.#.##.#########.###......##..######.###.#..#####..#.#...###.##.#....##.##..#..#.###...##...#.#.#.##.##.##........##.....#.#..##.#..#.###.....####.#.#######....##.##.#.#.###.####.###.#
####.####...#.##.#.##....##.#...###.###.##.###.#.#####..#.#.#.###...#..##..####.#.##..#.##.#######.###...#....####.#.##..###....####...######.#.#.#######.#.#..###....##.##.#.#..####...#..#.#..#######.#########.#######........#.#.#.#..###.####.##........##.#....#........#####.####.##.#.##..##.###.####....#.#.##...########.#...####...#...##.....#...#.#.#..#.###.###.##.......###.##...#####.........#......##.###....##.#...#.#.#...###.#.#.##.#####.##.#.##..###.#.#..##.#.##..###..###..##.#..#.##...##.#..###.#.#.###.###.###..#.#.#.#.#.#...##.....##....#.###...#####...##...#####...##.#.#..##.##..##.##...##..#.##.#.#####.#.###.#.#..#...###....#..##.##.#.###.#.######.#####...#.#.......##.##########.##.#..##.#.######.##.#.###.#.##.#.####...##.#.##...##.##..###.#.#.....######.#.######.#.#####.##...##.....#.#..#.#.....#.####.####.##......##.##.#.#.#.#
#.####.#..#....#.#..####.######.##..#...##.#...#####.####......####.#.##..####.....######......#...#.###.####.##...###..##...#.##.####.##...............#...##.#.###.##...#.#.##.##...###.##.####.......###.##.##...#.....#.##.#.#.#.....####.###...##.#.#.#....####.#.#.#.##...#......##########.#..#########.#.....##.#.......######..##..#.###..#####.############.##..##..#..####.##....######.###.###.#.###.#.#.....####.#######.#.####.##.#.#.#....###...##....##.....#.##.##...###.....#####..#.##.#..###.#..##..#..#.#.##..###..###...#.#...#.##.##..#########.#...###..##.###.###.##.#.##.##..#.#.##...##.##.###.##..##.#......#.###.##..#.##...#...##.###.######.#.#####......#.##.#..###.#.###.#.......##.###.....##...................##...##...##.##.##..#..#.########.........#.####..######.#.##.###.#######.##############.#.#####.#..#.###.....#.#####.##.......#
#.#.#....##.##...#.##.##.#.##.#########......#####.#......####..##.....####..##.##..##########.#.#............####...##.##.#.###.......##############.#.###..........###.##.####.##.#.#...#..#....#.###.#...#.....#...##.##..#####.#.######...#...#.#..###.#.##......##########.####.#####.#.##.#.##....##..########.##########.#.#....####.#..###..##...#..####..#####..##..#####....####.##..#.#.#.####..###.#####.#.#..#...##.#.......##.........######...#######.####.#......####..####.#.##.###.#.#..#.##.#.##.#..##.##...#####...##.##.##.#.#.#.#...##....#.#..#.##.##...##...........#....#.###.#....##.##...#..##.#..###...##.#.#..#..##.##.##.###.###.........#.#####.####.########...##.......#.#.#.#.####.....######.###.######.#.##.#..#.######..#.#...##.#.##.....#.#..##.##.#.#.##.##.#.####.#.##..##..#.##.#.##.##....#.##.....##.#.#.####...###.#.###.#....#.##.##
#.#...#.##..#..#...##.#..#..#.##.###....#.#.##.....############.#..#.#...###.....##.#.#.###......##.#.##.###.##....####.######...#.#####.#.##.........#.....#.###.#.##....#####..#######.##################...#######.#..#..##.....###......#.#.#.#.##.#...###..###.######............##.............##..##..######....##.##.#....####.##.####.#.#.#####.##..#.##...####..#######..##..#.#.###........#.##.##..##.#######...###..#######..#######.###..#...#.##......#.#########..####..#...#....#...#.##....#.#.#..##.##..###..#.####.##..#.##.#.#...##.##..####.##.#.#..####.############...####..##.#.####.....###.###.#.##.###.#######.##...........##...###.#.#.#....#.##.#.####....##..#.#..#############.#.#..##.###...#####......#.#######...####.##.#.#.###..#....#####.#.#############....#..#.#.#.###.#..##.#..........####....##.##.......#####.#######.....##.#.#####
#...###..##.##.#.#..#.##.##.#.##.#...##.########.#..#..###........##.#.#..#..#.###....#.#.#####.##..#.#..#...#..#####.###.#####.#######.....######.#.##.#.#.#.#...#####.#.#.....##.#.#.###..#.........##.#..#.#####...##.##.####.#...##.#.#.#.#.#.#.#..#.#.####.######.#.############.#..#######.#######....##.#....##.......##.#......#..##........##......##.####.#.#######.#.######...#.#.##.#####...#..#..##....#.#...#...##...#####.####.....#.##.###########.#....######.##.#..##.########.###.#....##...#.##.##.#..##.##.#.#.#...##.#..#.#####.....##...##.#..#.#.##......##.##.###..###....###......#.#####.#.##.....#.##....#.##...#.###.##.#######...#.#.#.######...........####..####.####.#...#######...###.....###...###########.########.#..#........##...####.#.#...#..#.##.#.##..####.##.#....##.#.###.#.####.#.###.##.#####..#.#####.#.##.....#.##.######.#.....#
#.###########..####...#.......##.#.#..####.#.#.####.##.#.######.#..######.##.####..##.......#....#.#####.###.#.##..........#.#####......###...###..#.#..#.######.#############.##..#.#.####.#####.###......####.....#######...##.########.#.#.#.######.###.#..###.##......##.#.##.#.#.####.#.#.####.#.#####..#...###########....##.###.##..#####.##.###.###.##.#.......####.#.....#..###.#.#.#####.#..#...###.#..##...######.####.##........#####..................###.##.#....##.#.###.##.##.#......#######.#......##...##..#......#.####.##....#.#####.##..###..##.#.#..####.###..#......###..####.##.#####.####.....##.####..##.###..##.##...#.##...##.###.####.#.###..#.#######.###.###..###.#..#...###.#..#..#...#######.##.###.#....#.#.#.#.#.##.#.##.####.####.#####....#.###.##.#..#.##.###.#.##.#.#####.#.........######...##.###.##...##.####.###.##.........#.####.####
####..###.....###.###...##.##..#.######.........##..............#.##.......#####..#########...#.##.#.....##..#.#..#.######...#...###.#.######.....#####.#####....##.##.#.##.######..........##.#######.#.#.#.###.#.##.......###..#####.###########.#.#######.####..######..............##.......#.#.....#.##...#.##...##...##.#.######.##.###..###....####...#.####.##.#....##.##.##.....#.#.#.#.#.######.#.....#####.#.####.#.#..#######.####.###.#.#.#############...##.####....#.#.#.##.##...####.##......######.#..#####.######....##...####.#.......##.##.##..#.#.#.##.#...###.#####.###..##..#.#...##........#####..#.#..###.....##.....########......###.######.#.##....##.####..#.##.#.#.#.##.###.....##.###.##...#.#.#....#.#.####.......#.##.#.##...####..........##...##...#.##.............#.#..##.#.#.###.#.#......##.##.......######...##.#.#..##.#.###.##...##..###
##.##.#.#######.......#.######.#.##.##..##.####.#..#.######.#.#.###..#.#.#..##.#.##..##.####.##.##.###.#.#..##.##.#.###....#...#.....####.....###..##.###.....#####.#.....#..######.#######.#....##..#######..#########.###.##..##.......#.#.#.......##...##.##.#.##....##.####.######.#..###.#...#####.#.###########..##.#####..###.#.#......##...##.###..#...##.#.#..####.#####.######...#.#......###...##.#.###......#.#..#.#.##.#......##....#######.............#....##.##.#.....#.##.######....#..####..##......##.##...##..##.#....#####..###.###..#..#..##.#.#.#..#.###.#.#.#.###...##..##.#.#.###..####.#..##.##.#...##.###.####.###..#.##.###.######.....###.#.#..####...#.#.##.#.........#..##.###....#.#####.##.#...#.##...#..##.###.##.#.......#.#.#####.#######..#....#......##.####.#.#.....###.......#.#.#.#######.##.########.#.##.##......#####...###..#####...#
#..#.......##########.###........#...#######....######.##...######..####.##..#.#####.........##.##.##..##############.###.###.###.#.##....##########..#####.###.....###.#...##.##.######.#....##....##....###.#.#.###...##...##.#..###.#...#.##.#.##.####....#.....###.##..#....#....#.##.#...###............##.##.###..#..##...##.......####..######.#.######..#.####.##....##.#.#.######.#.######.....#.#..#.#.###.##...##.#.#.##.#####.######.##.#.#..####.###.##.##.#.#...#######.#.#..#.#....##.################..#.####..##.#######..##.##...###...##.##.##....#.#.##..##...#.#.#...###..##......#.##.#..#######..#.#.###......#.#....####.##.#.######.#.#####.#.#.#.##..##.##.#.##.#.##.##.#...##....#.##...#####.##.#.#####..###.##...####....#.#######..##.....###.###########.#.##.....#.#.#.#.#.....#.#.#.###.#...###........##.#.#.#.##....#.#.##.##..#####.##.#.#.#.#
##...#.#.#....#.#.....##..#.####.#.#####..#####...........####.#.####.#..###....#.########.#.##..#.##.##.....##.#......#..#...#...#.#..##.#.....#####.#.###########..####.#..#.##..#.......##.###.#..####..........#..#..#.###############.#.######...#.##.#...##.###.....##########...#..#####...#.#.##.#.#.......#.##.##....#.######.#.#....##..#.....###.###.#.##.#.####.##.............#.###..####.#########.....#..#........##.#.#....#..##.##...#####.###...#######.###.##.##...#.##.#.######..##....##.#.#.##..##.#.###..#..##..###..#.###.##...#..#.##..###.##....#.#####.#.#.###.#.##.###.###...##.#.###.##.##...#.#.######.#.#.######........#...........#.......##.##.............########....########.##.##..........##.##....##.##..###.#######.##.####.##...#..##.#..#..#######.#.####.#.#.#.##.######..##.#.#...##.#####.............######.....##..##.#......#.#.#
#..#####.##.#...#####..######.......##.##.#.#.########.##.#.......##..####.###.##.#.##.....#.#..##..######.#......#.##...###.####.#.#########.#.#.......#.#...#.#...##.#####....##...##########.###.##.###########.##.#.######.#.###.#.....#.#.#.####.#.#####.##..#.##.#.##....#.#.###...##.....#.###.############.#....#####.#..###...######.###.#####.#.#........#.#...#.....######.#.##.#.#.#.##.#####........##.######.#.#.#......####.#.##...##.####.#..####.#...#.......#...###.........##..##..####.#.......##.......###.#.####.#.##....##..###.##.#.##.##....####.#..#.#......##.....#..##.#...####.#.#.#.##..###.#.....#.##.#.#..#.#.#.####.###.#########.#.#.##.###.##.##########.####.#..#.#.##.#.#..#.#...##.##.##.####....####...#.##.#.#.#......#.##.#.######.###.#.##.###.#.######.######.#.#.......#.#######.###.....####.##.#.##.########.#.#..##......##.#####.#
#####.########.##..#####.#.#######.###.........###..####..##.#.##....###....#..........###.###.####.###....##.#.###..###..####.#######......###...#.###...###.#.###.##.#.#...##..#####......#....#...#.#.##.#.#.#.....#..##..........#####.#.#.....##.#.#.#.#####....#########.#...####.###############.#.#..........##.#.#.######.#####..................#####.##...###.########...#.###...........#.#.########.#..#....########.###....#......###..##...##..#.#.###.#######.###.....####.##.#..##..###.#.#######..##.######.....##...#.#####..#.##.###....#...####.#.##.#.##.####.#.#..###...###.##.##.#..#.#.#..##..##...##.##.#..#.#.##.......####.#..###....#.#.####.#.......#.......####.#.#.####.##...#.#####.##..#########..####..##.##..#.#.....#.####.##.....###............#........#.......###.#.##.#.#####.#........#.###..#..#.#.#.......#.########..##.#.####...###
###.....##.##...##..##.#.#...........#####.#.#...##.#.#..###########...####...#.#.####.##...#########.#############.###..##.....##.#.######..############.#.#..........#.###.##.##.....####.####.###...#.#........###.#########.####.#.#.....##.##....#.#.#.##.#####...###.#.#.###......#.....#..##..##.....########.#....#...###..#.#######.#.##.##.#.##.#.##..##.#..#..#.##.#.###.####..#.#######.#.#.##.##.#..##.#.##....#.#.########.######.#.##..###.###.#.###.....#####...########.###..##.##.##.....###.####.....##..#.###..###.#..##.#.##..#..#####.##.##..#.#.##...#..######.##...#.###.####......##.....##..#####.#####.##.#......##.##...##.#.##.#.######..#.#####.#.#...#######..#.#......####.###.#.###..##..##.###.##....#.##...#.##.#.#########...###.###.#.#####.####...######...#.#.#...#.#.#..#.#.#.#.##.#.#.#.#.....#####.#.#.#####.......##.#######...##.#####
#...##.##...###..#.###.....#.#.#.#.#....#..#####....#.#####.#.##.#.###.#.####.#.#.#....####.#.#.##.#..#.####......###...#######.#.........##..#.............##########.#.#####..#########..........###.....#.#.##.###.###.##....#........###..#######..........#.#.##.##...........##.#######.##..##.##.#########.#######.#.###.##.#.#.#.#.###########.##....########.##.#.......##..##..#######....#.#.##.##.##.##########...............#........##.##....#...##..###.......####..##....###....##..#####.....#..###.###..#######.#.#.#.##..#.###.#.##.#.......##...#....###.##...#..#..###.##...##..######..#.#####.##..#...#.#.##.#.##########.###...........#.##.##..##...#####.....#.##.#...#######.#..##.#..#..##..##....#..#.####.##.###.#..#......##.##.##...##.......#########......#########.########.#........#.#.#####.##.##.#.#####.....#.#######..#.##.####.....##.#
#.####.#..######...#.#########.#.######.#.###.#####.#.#.#.....................######.###.####....#.#.##.#..######.###.###.###.#.#########..##.###########.#.......####.....####...#..##.##########.##..##.##.#.#..#.#.#.#.#..#####.#.###.##..####.############.....##..######.#.#####.###.....###.......#...........#.#...#.##.......#.#.#.##.#.....########.#.#.##.#.#..#######.###.#..##.....####.#.#.##..#.####.#.#.#####.#####.#.##.#...#.##.#....#####.###.#####.#######.##.##..####.#.####..##...#######.##.......#.##.#..#..#.#....##.#..#..#.#..######.#####.##.###....###.##.##.#.####.#####..#.##..##..##....##.##.##.#.#.......###.#.######.##########.##.##.##..#..#.######....#.#.########..#.##..#.##.####..#.####.##....#.#....#.#.##.##.###.....#..#....#.#.#...#.....#.#########.####......##..#.#.#.#.####.....###........#####.#.##.....#.#.##.....####.##..#.#
####...##.#.#....#...##.##.....#.#..###.###.#.#...#.#.#.###########.##.######...##.#.##..#.#####........##...#.##.#.#####.#.....#.....###.##.......#.##...##.##.#......###.#.####.#.##........#.......##...########.###.#.####.....#.#....##..#.........#....#.#.#..##........###.#.###.#####.#.##########.##.#####.#.###.#....#.#.#............###..##.##.#.#.#.#....##...............#######...........##.#.#.#....#.#...###...##########.#######.#..#.##......#.##.#........#.##.##.......#.##..#.###........######.##.##.##.##...##.####.##...##...##.......#.#...#...###.##.#..........#....#..##.#.#..####..###.##........#.##.######.#.#..##.#....#........#........###........######..........##....##.#.##...##.##...##..#.####.#.####.#.....#.....#.#...##.#.######.#...#.###............#.####.#..####.###.#..##..###..###.#.#.#..#..#######.##........###....#.###...#
##.###....#...####.#.##..#.########...#.##..#.###.......#..#..#.#####..#..###.#.#....###.#..##...##.#.#.####........###.#.##.##.###.#.#...##.#####....##.#####..##.#.###..........#.#########.######.########.##.....##.#..####.#.######.####...#.#.#.#.####.######....##.######....##..#.#........#.###.#######............##.#######.#.#.##.######.#.............##....##.##.####.##...###.#.#.#.##.##........####...###.....#.###.....######...####....######...##.####.#.#.......###.###...###.....#######.###.###.##.##.##....#..#.###..####.####.########.#.###.#.####..##.##.###.#####.####.##....#.##.#####....###.####.#.#.....##......##....##...########.#########..#.#.######.##.##############..#.#..###..#.#..#####.#.#.##.#.#......#.############.#######.####.#.#.#...#.#.#.########...##.##..###...###.###.#######.#.#.#.##...###.##...##.#.#.#.#####.#####.#.#.#
#..##..##...#.######.#..#######.#.###.#..##.......#####.##.##...#.#...###.....#.##.###...#.####.#######.#....##.#.#.....#..#.#...####.##.##..#.....##..####.#..###########.######.....#.#............##....#...####.##....##..#####.#.####.############..##...#.##..#######.##.###.####.#.###.#.##.....#.##..#.####.##.####.##.##......#.#..#####.##.####.###.#.#.###.##.##############.##.....#.#.#######.###.#######.#...#.###.#.#####...##.###..#.####..##..###.#..###..####.###.##.#######.#.##.####.#...#.#.#.#......#...#######.#...##.#.#...##..#.#.........##.#..##..###.####.#.#.#.#...##..####......#.#.###.###..#.####...#####..##.#..##.########..............#.########..#...#.............##..##.#.##.#.##.#.##.....#....#.#.#.###.#####.##......###.#####..#.###.#.#.#.###.#..........#..#..##...##.##.....#......#..#.#.#..###......##########.#.....#.#..##.#####
##....###.#.#.#......##..##.......#...##.############.......###.#.#####.####.###########.#....####.#.#..############.#.##.######.#.#.....#####.#####..####....###.#.#..##..#......###...#####.#.##.#.#####.##.##.#.....##.#..####.......##.#.#.....#.###.##.#....#####..##......#..#.#..#..########.##....##.........###....##..###############.#.......###########...#..#..............##.#.#.###..###.##.##............######.......#..#....####........###.##.....##.######..#...##.##......#.#..##.#.###.#.....######.##.###.##.....####...#.#####...#.###.##.##..##..#.##....##......#.#.#####..#.#.######...##....##.#..##..###.#.#.######.....##.##.#.#######.#.##.....#.#####...###.####.#########.##....##.#.......###.###.####.#...#.###.#.#....##.#.......#.##....########...####.############.##..#..#..###.#.#.#.##...##.#.##..##.####.........####.#.######....#####
#######.#######.####.###..#######.###.#.....#.#.....#######.#.#.#.##.##.###...###.##...#.##.####.#.#...##.#.#.#####..#..#.#.#........###...#####.####....###.##...#.##.######.#.###...#.....##########.#...#.......###.#####..#.##.#.##....#.#####....#..##.####.#.#.##..######.##...##.#.##.#.##.#######.###.#.###.#####.#.#######.....#.#.#...####.##..##.##.#.#..######.##.#.##.##.#.##.#.#.#...##......###.#.#####.####.#...#####...###.#......##.###.....######..#..###.####.#.##..####.#.#.##....#.......###........##.#...###.##.##.###....##...##########..##.##.##..####..####.###.#.#.#.##.#.#......#.#######....#.###.####...#.#.##.########.##.#.#.#...#####..#####..#.#..#.......#####...###.....#####...#.#####.#.##.........###.........#.#######.#.#......##......####.####...........#######.#.###...###.#.#.##.#..#.#####.##....#.#########.##.####.#.#.####.#.#
#.####..##########....#..###...##.#.#.#####...#####..................##.....###.#..###.#.#...##....###.##.......#.##.##.#.#.##########...###.......#####.#.###..#.......#.#.#####...#.#.#.#..#....#.##.###...#####.#....##.##...##########.#.#.#.####.##....##........#.##.........#...........##.........#.###.######....###.#...#####...#.###...######.#...#.#...##......##.#.#..#..#..###.#####..##.##.##...#####...##.....#.#.....#..#########.#..#...###.#.#.#..##.##...#.####....###.#.#......##...###.#.##########.##.###...####..#.#####.#####..#.##..#.##.#......##..##..###.#...#.....#.##.#.#.######...#.#.####.#.##.....##.##......###.##............#.....##.......##.##.#########.#.#.###...#.#.###.#.###............##.##.#.....#.#####.###.##.####.#.#.#.####.##.##.##..#.##.#.#.######.###.#####.#.#..####.#..#.#.##....##.#..#.##...#####.#.##..##.............#
#....##.#.#.#.##.####.##.#.##.##........#.###.#.#.####.###.#.#######.###.#.###..##..#....##.##..##.#.#..##.#.##....####.#.#.#....##..###...###.#.#..##......######.##.#.....#######.#.######.####....#.#.#####.#.#####.##..##.#.#.####.##................#.##..##.#.#....#######.#.###.#.#.#.#..####.##.#.......#......######.###.#.#####...#####.#.#.##...#.....#..####.#.#..#.#.##.##.##...###.####...#.###.###....#.#..###.######.##.##.#.###########.##...#.#.##....####.#.#.#..##...#.###.#.#.#####.##..###.#...##....#..#..####...##.#.##...#..##.#..##....#.#####.####..#.##.....###.##.##........#...#..#.#......#.#.##.#.###.....###.##......##.#.#.#.###.########.#.###...#.##.#....#.#.......#.###.........#.##.##########..####.#######..#..##.......#.###.#...##.##.....##....###.#.#........#.##.##...##..########.####.#.##..##.#..#.#..........##....####.######.#
####.#..#.#.#......#.....#.##.########.##..........#.###.#####....#..#.#####.##.###...##.....#####.#.#.#######..##..##......####.#..######.##..####.#..##.#....##..########.#.#..####.#...........##.....##.#....##.....##..###....#.#....##.#.#.#.#.#.#.#..#######.##.#..####...#.#...########..###.#######.##.###########.#.#...........#....##........###.###.####....###.######..##..#####........#.#.#...#...#.#####.#######....#####........#.##...#..#......####.#.##.#.#.#######.#.##..#.#.#.##...##..##...#..####.##.##.##...###..#..##.##.##....######.#.#..##...##.##..###.#.##..#########.##...###.#########.#....#.###.##.#.####....#.##..#####.#####......#######.#.###.#....####...#.#.###..####.##.######.....##....##########.##.#.###....#########...#.#.##..##.##..#.##.###.#...####.###.#...######.##.##...#....#.#.###..#.#.##.#.#.###.####..######.......###
#....##.#.#.####.#...###......#..###....###.#.####.#.##..##.###.#.##.#..##.......###########.#.#.#...#..#.#.###..##.#######....#.##.##......#####.....########.#####.#......#.#.##.##.#.#####.#.#.######.##.####.#####.####.######.#.######..###########.#.##........####......#.#.##.#####.#.#.##.###.#####.##.##............#.#.#.#.#.#.####....############.....##.#.##...##.....##..#####..#.##.#.#######.###.###.#...#.....#.##.#.#.####.#.#......####.##.#.#...#..#..#...#.##......#..##.#.#.#..#########..#.##......##.#...###.#.##...##...#.#####..##....#.#.##..###..###..####..##.#.#.#.##..##.####....#.#.#.....####..#.....#....##.###..#####.##.....##.#####..#.##.#.......##......#.###...####.####.......###.###..##......#.##.........######.#.#...#############...#.##..#...###.#.#######..#.#....##...#.#..#.##.#.###..##.####.##.#.#...#....##......###.#.#..##
#.##.##.#.#.#..#####...##.###.##.#.####..######.##...###.....####.##.##..##.#.#.##.###.#.........###...##...#.##.#...#.#....##.........##.#..##.#####.##.#.......###.######.#.#.##..#####.##..#.###.#.#...........#.....##.............################..###..#.##.#.#....##############.#.........##...#.....#######.##.#.##.#############....##.##........#..##.##########..##.#.####.##..##.####.#.##......##..#...###.###.#...#..#........#.#.##.####.###..#.###.##.##.###.#.#######.#.###.######..###..#...######.###....#.####..#..##.##..#.#..#.###..####.#.#.###.####.#.##.#.#..##......#.#..#######..####.#.#####.#..##...################.####..####.#.######.#.##......##.#.########.#..##.#####..#.###.########.....######.#......####.#####.#.#.#.#.###########...##.######.#.#...#.#.....#.##...##.#.##.#.....#######.##..###..###.##.#.#.#.#.#.###.####...###.##..#
####..........##.....######..........##.##.......###...##.##.#.#...#.###..#####.#....#.#.#######.#.##.#####....#####...#.#####.#########..##.#..#######....###.#.....##.........###.####.....##.#.....###.#.#####.####.##########.####....###..#.#.#.#..####.##.#..#.##########.#.##.....###.##.##....#...#.#.##......#..###...#.#.#.#.#.#######..##.#.#.##...##..##.........#######.#..###....#..#.#.#..#.#.########.#######.##.###.####.##.######..#....##..##.###.......#......##.........####.####...##.#####...####...##....#.##.#.##...##.####....#..##.#..#...#.....##.#.##...#.####.#####.#.##.##..##..#.#....##.#...####.##.##.##.##.#..##......##.####.............###.########.########.##..##.##.....#........##.##.....#####.#.#...####.##...........##...#.#.#.###..#.#.############.###......#..###..###.##.##.##..#######.##...#.#..#######.###....#####...#..##.#
##...#.#.##.#..#######.#.#..###.##.#....######.#.....#..####...###.#.#.##.##.#..#.##.#.###.......#.##.#.##..#.###....#.#####.#######.######..##.#....##.######.##.##..#####.#.#.#.#.#.#..###.########.....###............##.#.#.########.##.##.........##..######.####...............###..##.#...###.###.##.######.########..#.......#...........################.##.#######..##.....####.##.#.##...####.#.###.###....#.###.######.#.#....####.#.##.#####....##..#...#.#.#...####.#####.###.####...#.###..#.##..###.#....#######.#.#....####.##..#.####.##.##.##.###.#.#####..#.####.#.#.#.....##......#..##..##.##.#..#.#.###.#............#...####.###..#....###.#.#.#.###...###.............#.####.##.....#########.#.#####..#.#.....#####.#.#.##....#.#.#.#.#..#.###.#.#...##.......#.#.#.#.##..##.####.#######..##.##.....#.###.####..##.##.##....#.##...####.....##.#####..#
#..#.######.##....##.......##...##.####........#.###.#####.###.#.#......#.##.#.####.....###.#.##.........#.####.###.##..#....##......#.#.###.##.####....#......######.#.#######.........##...#.#.#..##.##...##.##.##.#.#.........##............###.##.####.##.#....#####.###.##.####.####....#####...##..#####.#.#.#........##.##.##...##.##.##.###.##....##.......####......#######.#.#...#######.###.#.###.....####...#....#.#.....####..##.......#.....#.##..####.#####.####.........##...#.###.....##......##...##.#.#...#.#.....##......##.##.###..##.##.##.###...##..##.#..##....#.##.######.###.#.####.##..####...#.......#.#.######...#....#...####.#####..##########.#######.##.#.#####....#....###.........######.###.##########.##.#......#.####.#.#.##...........#.####.#####.#.#.#.###..#..######.#.##.##..##.###............##...###..##...##.####...##.##...#######
#.######....##.##....#.#.#..##.######...#.#.#.####....##...........####.#.#.....##..###..####.#..#.#.##.##.#.#...######.####.#######.#.#.#.#.#...##..#######.#.#.#........#####.#.#.##.##..###...##....##########.##.###########....##.#.####.#######.##........#.##...#.#...#..##...#....#.##.....#.#####.........##.###.###########.######.##.##...####....#.##.###...#.##..##.......###.###.....#.....#######.######.####.....#.#.#########.#.#####.#.########....##....#....#.#.###.####....#####.##..###.#####..#######.....##.######.#..#.##...##.......#..#...####.##..##..##.###.#.....##..#####...##..##.##.###.#.##.#.##.#......###############....#..#####.##....####.#.#...#######...#####.#.##..##.##########...##...##.......#####.#.#.#.#.####.####.#.###########.#####...........######...........########..##.#########.#####...##.#..#.##..#.###..#..#.#....#.##
#.#......#.##...##.#.#.###.##..##.....#.#.#.###.###.#..#####.###.#.#..#.#...###.###.#.####..###########.#..#.##.##.......##..#.#.........#...##.##..##.......###.####.###.#.#...#.#.#..##.###..#..####.#....#......###...........#.########...#........######.###.##.#...##.##.####.##########.##.####.##..###.#.###########..........##.....#..##.#......#.#######.###.###..#########.#.#.#.##########.##.##.#..#..#....####.##.#.###.........#####...###.#.#.#######..##.##############.####.##.#.#.###.#...#.##..###.#.###########.#.#####...##.##########.##.###.###..##.####.##...#.##.######....##.###..###.##.##.....#.#######.########.##...##....#.##.####.#..###.####......#.......#.###.#.###..#.##.........#...########..#####...##..#####.....##....#.#....##..#.#....#...#########......#.#.#######...#.###..##........#####.###.#.##.#.##.###....##.##.##.##.#....#
#.####.#.#####################..##.#.#########......##.##.#..#...####.....#.#....#.....##..##..##.##......##.....#######..##...#########.###.##.########.#.###.....#####......#.#.#.##..###.##.##....######...#.##.##..#.####.#.##.#.###..######.##.#.###.....##..##.#####..#..#....#..........####....#..##########....###..##.#.##.##..##.##.######.#.#.#.#.#.###.##...##.###..##...............#.#...#...#.##.##.##.#.......###.#...#.#.##.####...#.##..............###.##..............##...#.#....######.#..##.#.#.........#.##.....##.###......#.#..#......#.#...##..#.##.#.#..###.#....#.##.#####...##.#.#.#.....#.######.##.....##.....#..###..#######..#.#...##.#.##...###.###.##.#...........#.##..#.#.#.##.##.###.#.##.#.##.#####..#####.###.######.#.###.#.###.##.##.###.#......####.#.#.####.......#.###.#.#######.######.###.#.#.#..###.####...#.##...#########.#.##
#.###..#.##.......#.#.#..######.#######..#.#.#.##.#.#.......#######.##.#.##.####.####.##..####.#...##.###..##.##.#...#...####.##...#............#.##.#.##########.##.#...#.##.#.#####..##.......####.##.#.#.#.#.#..#..##.#....######.#.##.###....##.#.##..#.#.##.########..#####.#.###.###.#.#.#.#####...###.#.......##.....###########.#####...##....###.###...#.#.#..#..###.##.####.#.#.#.##.##...#######.........#######.#.########.#####..##...######.#.#.####.#.###....##.#.#########..###...##.###.##.#...##..#.#####.###....#####.##.####.##.##.##...##.#.....###..##.#..#.##..##.##.###.##.#.#...####.#.....##.##.........####.###.#####.##.#.##.#.#.##.#.#.#....#..#.#####...######.##.#.#.#.#####.######..#..................#...##.........#...#.#..#..#######.....##..##.########..#######.###.##.#####.#.#....#.#..####.#.#.#...#.#.###.....##.#####.#....##.....#..#
###...##.###.#.##...#.##...##.###.#.#.##.#.#.###########.##.##..##..#########.##.#.#...##..##....#....#...###..#####.#.#.#.#...###.#####.######...##.#.##.#..#.....#.##.##.#..#.##....#####.######.#.#....#.#.#.##.##..#####.###.###...##...##.#.#..#.###.#.#.#####.##....##.##..###.#.#...#.###.....#.#.#.....#.##.##..#.#.##.####.##...##...#..##.#.#...#####.......###.###.##.#.########.#...#.#...##..####.##.#..##.....#.#...#....######.####.#......#.###....######.#..########.#.###.....#.........#.###....##.#.#.#######.##...#..#.#.#..#####..#########.##...##.##...##.#..##..##.#.#.#....##.##.#..#.##########.######..##.........##.##.................####...##..##.#######.###########...#.###...##.##.###.#####.#.#.##...######.####.##.###.#####..##...#.######.###..##.#.##.###.#.##...###.....##.....##...##............#####.#...##.##......#####.##..##.###.#
#...######.########....###.....#...........#.##.##...##..#..###....##.#.##.#.......###....#####.###.###.#...##..#.#..#.#...##.##....##...##.#.#.###..#.##.##.#####.#.#...#.##.#..##.#.#..########......##...#.#.#..#..##..##.##..#.###.####....#.##.###.#.#.###.....#..##.##..##.##....###.#.#...###...#.##.#.##..#####.#.###...#.#....#.####.#.#####.#.#.#..###.#.##...###.#.#......#.########.#####..##.####.#####....##.##.###...##.#.#.####.##.###.##.#.###.####...#######..........#...#.#.####.#.##.......#####......##..##.##.#...##...##...#.##.#.##.##.####.####..###.##.##..##.##.......####.......##..........#......#.######.#.##.....#.######.#.##.#.#....###....###.###.#.#..###.#.#.##.#.......#..#.##...#.....#.#.#.##.###.#.#######..#####..##.##..###.....###..#.##..#............##.#...##########.#####.##..##.#.#.#.##########.###..##.##.###.#####.##....###
#.#.#...........#####.########.###.#.#.#.#...##..#.#....##.##.####.#.........#####...####.#.#.########..##.####.#.##.####.##.....##..#####....#...##..........##.......#.######.##..#.##........##.#.#.#..#.###.#########.....##............#########.....#########...##..###.##..##.#.#####.###.#...#.#.###########.##########.....#.##..##..#.##.########.##.############.#.######....#.##.######.#.##.......#.#.####.##..###...######...........#....###.#...##...#...#.#.#.#.#.#.##...#####.###..##########.#.#.######..##.....#####.###.##..###.#.....#.#...#....##..##...##..##.##.##.#####...###.#.##....#.##.##.###.########.##..#..#.#.#........##################.#...........#.##.#......#.############..#.#.#.#######.####.............##.###...##...#.##...#####.##......##.#############.#####.##.#.#.#.##.####..#####.###.....#.##.#.##..##..##..#....#.###########
#######.##.##.###.##...#.####......#.#.#.###.#..######.######.###..##.##.#.#..######.#.##.#.#.##.#.#.#.##...#.#.#.#...##...###.#####...##..##...##########.##.#..###.###.#......#..##..##.#####.##.#.#.##.#.##..#.........##.##########.##.####.#.#...##.###.....####.###.#......#######.......####.##.#.#.#....###...........##.#.##############...#..#.##.##.##.#.##.##.#.#.#......##...##.#.#.......####.#.##.........##.########.#########.#.#.###.###..##.##..#.#.#.......###.#####.###..###.#####.##.#.#........##...##..###..##...#.#..##.###.##.##...###.###.##..#####.##.###.#........######...#.#..#.########...#..##.##...#####.####.########.....#.######.....#.###.#.#####........######.##.#.##....#.####.#.......####.###.##.######..#...#.####.#######.##.#.#....##.#.......###.#.##.#..##.#......#.#.......####.##....#######....#..#.####..##...##....#........#
##.#....#..#.......###.#.#..####.#########.#.##.#.#.####.#......##....#..####.#...#..#.#....#.##.#.....####.#.#.#.##.#####.....###.###.#..#####..#..#########.#.##....#######.#######.#####........#.#.##.#..##########.#.#..#.....##....####.....######.##..#.#....###.###########.#....##.#.##....#..###.####...#######.##.#######.##.###....####.##.......#.#............#.####.#.####.##.#.#######.#..#######.#.#.#.#####...##.............#####...##..##############.##.#.#...#######...###...........#...##.#.###..#..#######..###.#.##..#.#...##.####.#....#..###..#.#...#.##..#.####.###.##.##.####.####.#.##.##.###.#...#.###.#####.#...###...##.####..#.#.##.####...#.#..#..#####.#.####..####...##.######.####.#.#.###....#########...##.#.#...#.....##..........#.#######.#.#.###.#........##....######...##.#.##.#...##.#......##.##.####.##.#.####.###.##...#.##.#.#
#....#.#######.###...#...##.##.####.#.#.##.#..........#..##.#.#....#.##.###.#####.##...####....#.#######......#.#.##..##...#.###.#.#.#.#####.###...##....##......#.##..##.#######...####.##.##.#.#.#.#.#..#.##..........#.##.##.##....#.###.####.##.##.############.##...#.####.#.#.#.##.##.#############...#.##.##.#.#####..##...#...#.#.####.......#######.#.####.#######....##..###.#..##.#.##.####.##.##.##########.#.##..#....########.##.##.#..#######.##.#....##....#########.##....#..#..#.##.#.##...#.####.#.#####..##...#.##.#.#.###.#...#.####......##...##...##.###....##......###....#.#######.#.#.......####.###.#.............#.#.....#..####.#.##.........##.#######.###.######..#.###...#.......##.....#.#.#...##.###..#......###..#.###...###..##.###.#.#........##.#.#.......##.##.##..##.#.#.##.#########...######.#.##.....#....###....#.##...#..##.#####.###
###.####.##....#...#.##.###.#...##...........##.#.#.#...########.###.##.#....#.#.....#......##...###.#######.##.#..##.######.#.........#...#..##.#######.#####.##########.#..#..###..##.....#..#.#.###.#.##.#####.##.####.##########.##.##.......##..#..#..##.##.#...###............#########...#.##......#..............##.##..#...#........###.#.#................##....####.#######.##..#.#.............#..##.##........#######.#.........#.#..##.#............######.####.....##.#####.##...###########.####.##.#.#.#.##.####...........##.#.#####.######.#####..###.##.######.#..##.#...##.#....##.#.....#.#######.#...####.#############.##.#.###.###..#..##.#.#.#########.##..#........##.#.#.##.###.#.####..###.#.#.#.#.....###...#.##...####.##..#.######....#.#.##.##########.#.####.##########.####.#........#.#.#.##############.#.###.###...##....##.######.....#####
#####.#.....########.#..##..##.##..##.#####.##..###.#.#...##.#.###...#..##.#.....######.###.##.#.....#....#...#.#.###.#..#############.###.##......#.#.#..#######.#.##....##.##.##..##..#.####.#.#.#...#.####.#...#########.##.##.#######..#.#.#.###.#.##.##..##...#.....#######.##..#..#..####......##.####.####.#.##.#.......#######.#.#.#.....###########.####.#..####..#.....##....###.....###.#.#.###...##...############.#...#.###.#.######....##.#########.#.#..###....#.#.......######.##.##........#.........#.#.#...##..#.#.###.####.#.##.##.#.#..####.#..####.##...#......#########..#######.#.#####...###.....###.#...........#.####..#######.##.#.###.#####..#.#.#..##.##.##.#.###...........###..#.#.######.#.####.##..##.###..#.#..#####..##........#.####.##.#.#......#.#...##..#.#.##.#....#..#.##.#.###.#.#.#...##.####..#.###.###.###.#..####.......#.##.####.#
#.##..####.####.#....##.###.#...#######.....##.##########.#........#.#################..#...#..#####.####.##.##.#.#.#.#.##.##..#.#.##.........#.#.##.#.#.##...#.#.#..####.##.##..##....#####.#.#.####.####......###.#....#..........##.#..######.#.....##..##....#.##.##############.##.##.#.#..###.##..#....#....####.##.##.###.###...#.#######.##..........#....####.###.#####.#####.....#.#.#...#.#.##..#..###.##.......#.#.###.#.#...#...##.###.#####...........##.....############...#.##.#.....##.##.##.#######.#.#.###.#..########..##....##.##.#.##..#.#.#.###....###.####.#.#..#.##.##.###.##.....###..###.##.#####..#.###########.#..#######.##..#.#..#....###.##.#.#.##...#.#########.##.#.#.#..###...#.##..#######.#####.....###.#.#.##..#####..#.##.#.#...####......#.####.#.#..##..........####.##.#######..#...#.###....#..#####...#....####....##.######.##....#.#
#..##.#######.....##.#......##.##.#..#..###..####.........####.###.#.####.##...........###.##.##......##.....##...#.#.#.#...##...#.#..###########......#.####...#.#.##.#..#..##.####.###.##....####.#############.....##.##########.#..####.##.....###.#..##..##.###..##.................#.#.###############.##.#..#.#########.....#.#.####.###..##.########.#.#.####............#..######.###.##.##.#..#####........##.##.#.#.#.#############...####.############.#########.##.........#....#####################.#......#...##.#.#.##...#####.##...#.#.###.......#.##.#..##.##...####.#....##......##.####.##............##.....#.#.........##.#..#.....##.#.##.####....#.#.#.##.###.....##.##.#########...#.#....#.##.##..#.###.###.#..#########.##..#####..###.#.#....##.#####....#.#.#.####.###.#.#...........#.#.#.##.###.#.#.####.##.#...#...#.##....#.##############.#...#
##....#...##..######.######.##.##.##.##..##.##..#########.#..#######.#..#.#..#.#.#.#.###.###########.##..##.#####.#.#.#.##.##..#.....#####.###.##.###.##.#..###.#.#.#..##.##......#####.....######...#.#.#########.####........##.#.##.###...###.#.#.....######....#########.#.#######.#.....##...##...##.#####.####.######.######...#..##......###########..######...##.###.#.#...##......##..#..#..#.##.....#.#.#######.........#.#...#.#..###.#.##...###.#...##.##....##...#####.##.###.#....######.#.##.##.....###.##.###..###.#..###..##.#.#..###.#...#####.#...#####.#.....#..##....#.####.######.........#.#.#########.#####.#.##########.#.##.#####..#......#..#.##.#.#......#.######.##.#.#.#.#.#.#.###.##.......##........##.##...#.#........##..###.##..###.#####....###.###.###...##...#.#.#####.#.#####......................#...#############.#..............#.##.##
#####.###..####.##....###...............###.###...##........####.#...##.#.##############..##.....##.....##..#.#.#.#.#.#.##.###.#####.#.........##..##..#...##.......##.##..####.###.#...#.###.##.###............######..#.##.#...........###.##..#.##.##..##.#..####.#.#.....#####..####.###..###.###.##....#.#.##.#.#.##.#.....####.#.#####.#.##.........#####.#.###.#....#######.#####.#..##.#.###.#..###.#.#.######.#########.##.###.#.##.##....###.##.#.###.#...#.##....#.......####.######..........##..#####.#####....#.##.....##.#.##....#.##.#.#.####..#####..##...##.#####.####.####.#..#.###..################.#.....##.#.#.####...#.#.#.#....#.#.##.######.#####.....##.#...###..#.#..#.....#.###...#.##.#.######.###.##.##..#.#.....##.#######...#..##.##...###..##..##...#.####.####.####.....#.#.......##.##.##.##.##.#.#.###.####.......##...#.##.###.#####.#..#..#
#.#....###.#.#...####.#.#######.##.##.#.##...###.##########..#.#.###.##.#.#..####.#.#..##..###.#....##.####.....#...#.#..#.#.###.....###.#####....####.###..#######.#.....##........##.#####.......######.##.##........##.#######.######......##########.##..######......##.####.##..###.#...##.#.#....####.....#...........###......#..##...############...##........###.##.............#.#######.####.#...#.#.#..............#.#..#......#.###.#..........#.#.##.##.###.###########.##.##.....##.#.###..##..#....#.######.#..#####......#####...##......#.##..#.###..###..###.###..##....##.##.....##.#.....##.#.##......#.#.............###.#.#.#.####........#.##.#.#.#.##.##..##.##.##.#...##.#####.#######..#####.##.#.#.#.####################..#.#.####..###..#...##..##.####.#...##.#.####....#.###.##.##.#.###########.##.#.#..........########.#.#.##.#######.###.##.##
#...##.........#........#.......##.###########.#.##.##......##.#..####......##.#....##..##..#####.#.#..##.##.##.###...##.#...##..##.############.##....###.##.###.#.#####..#.#.####.#####....###.#.....####...#####.#.#####.......##.....###.##.#.##......##.#.#..############.#.###.....###......####.###..#.###.###.#.##.##...#.##.#.########....####...#..######.#.#....###.###.#.##.#####.........#########.###.###.#.####.#.##.######.....#########.##.........###.####.#............###############..##.####...#.###..#.##.#.######.#.###.#######.###.###...#.##.#.#.###...#..####.####....#.###....###.#.......#.#.##.#.#.###########.#.#.#........######............####..###.....#...#.............#..#######...#.#.#.###.#.###...#..###.#...##.#....#.#######.#..#.###...####.###.......####.#...###...#.#...##.#.##.###..#.#.#.#.##.#.#.##.#.###.#..#....#.....########
###.##.#.#.#.#.##.#####.####.#.#####.#.##.##.#.......######..#.##.#.#..#.##....###.####.###..########.##.....#......#..#...#....######.##....#####..##..................#.####.###....#.#######..##.##..##..#.#.....#...#########.#..#.#.##........#####.###.#.##.#.###.##.#.#.#.#.####.#####.###.#.##.#.##.###...#...#.#...##.##.#..####.####..##......#.##........####.###...#...#######....#.#.#.#..#..##.####...#...#.#..............#.##.###....#....###.##.##..##......#.#.###.##.#...........##.###.#.......#.#.#.##.#.#..#.####.#.....#.#.####..##..#.###.#....#...##..#...##.##..##..#######..##..##...############.#.#..........##...#...###.######.###.#.#.###.#....#.##...#####.####.##.##.######.#####.#..#........#........###.##.....#......#.##....######.##.#.#####.##...##.####....#.#.######.##.#.#.......#...##.##########.###.......##.#.##.##...#.#........#
###################..........###.##....#..#....##.##.#....##...##.....########......#.#.#.##.#.##......###.#####.##.##...###.##.#.........##.......#######.#.#.#.#.#.##...#.####.#.##...#.#.#.##.######....#######.######..##.#...##.#.#####.##.##.......##..#.#..#.#...................#..####.#.#.#.......#...###.######.##..#..#####......##########.######.##.#.####.#...########.##.#############...##....####.#.###########.#.####.####..#..##.###.####.##.###..##.###.#######.##.#.#.###.#.#..........###.#.#...#.##.#.##.#......#####......#.##.###...#.#.##.#...########.###..#.####..##.##..###.#######..........#.#.##.############...#..#######.....###########.#############......######..........#..#...###.##.##...####.#........########.#########....#####.....###..###.###....#.######.....##..###.##.##.#...#######.#.#...#..#..#.########..#.##.######.#.#.#.#
#..##.#.##..#.##.######.###.##....####.##...##.#####.####.##.##########.#.#####.#.#........#.#..#####.##....#.##.######.##...#..#.######.######.##.##......#.#.#.#.#.####....##..######...#...####.#########.##.##########.#....#.#..#.##..#.#...##.####.###.#.##.#.#####.#.#.#.#########.##..........#.#.###.#.#...#......######.#...##.#.#............##..#####.###.#..##.###.##.......#.#.#....##.##.######.#.#######.#.########.#.....#.##.##.##..#..##...####.#.#####.#.##.......#####.#########.#.#.############...#.........#.##..##.###.#.##.##...###......#####..##.###...#..##.#.#..###..#.##.#.........#.#.###.##.#.#....####.#.##..#.####.##..###.#..#.##....##..#..##.#......########.##########.##.##.###########.#.#.####.####.#.....####....#.#####.#....###.##.....##.###.###.##...##...#.#.##.##....#..#.###.............#.##...##......##..##.#.......#.#######
##......###.........#######..##.#..#...##.#.####.#.#.##...#....#.##.#........#############...#.##.##..###.###.....##....##.###.##.#......##.#####...####.#.#.###.#.#.#....##..##..#.#.###.##.##.#...##...##.......#.#........#.#####.#####...##.#####......#...#.....#.##########.....#....####.##.#.##.#...#######.######.#..#.###.#..#######.######.#####.#.#...##..##.####....#####.#.......#.##.....##.....#.#..##.#.........#####.##..........##...#####.#.......#.#.....####.##.##....#....#.#########...#######.#...##.####.#####........#..#.##.####..##.#..#.##.##....##.##.##..#.##.#.#.##....##.##.#.#.#.#..##########.#...........######...##.##..##....##.####.##.###...##.#...........###.#...###......#.#.#....#####...##....#.#.#.#....#.##.......####.#...#..#.#.###...##..#####.#####.###########.#.#.##...##.#.##.#.#########.########..##########.#.##...##.##
#######..########.#...##....######.##.#####.#......#..###...##.#.##.######.###.............#.........##....##.#.#######.########..########........#.####.#.###...#.#####.####..##...............###.####..#.#####.#.###################.####.#..#.########...#...#.#....##..##..#####.####.#.....#.#.#####.##.......#......##....#####..#.#.######..####........#..##.####.####.##.###.###.###.#.#..#.#..#####.#.#.##..####.####..##.####.##.####.#######.###.#.#.#.#...##.##.##....###..##.####.#.#.#.#.#.###.#.#.#.##########.####...##.#.#.#.##......##.##.#####.#..#.#####..#.##.##.##.#.........#.######.########........##..#.###.#####..###.##.##...#.########...##.......##.######.#####.##.......#..##.######.....##....#..#..####.#.#.###.######..###.#....###.#.####.#.##..#....##...#....##..#####.#.######..######.####.#....##...###......##........###.########...#
#..#.###.#.#......#.#..##.###.###......#.#########.##..####.####.#..#........######.#.#.##.##.#.#.#.########..###........##......##........#.#.######....#.#...#.####.#####.#.#######.##.######.......###.####....#...#..####.#.#.##....#.##.##.#.#..###.##############.##.##..##.#.#.#.#....##.##.#.#.....#######.#######..##.#..##.##.#.....##.##.###..#.##.#.####..#.##......##.#.#######...#...##.##..#......#..##.##...#..#.##...##..#####....##.....#.###########.#####.##.##########.#............#.##...........####.#...#####....#.#.#..###.#####.####.#.#.##.#.#...##..............##.####.####.#.####.....#.#########.##..##.....##.........###...#.##.#...########.#.#.......####.##.###.#######...........#.#######...###..#.###.#..##.....###..##########..#....###....#####....############.#.#......####....##...#.####.#..##.####.########.##.##...#..##.##.#.###
##.#.......#.#.#.#####.######.#.######.#.#.##.#..#.###.......##..##.#######.##.#.########...###.#.#.#.#.##############.#..##.#.#.###.#########..#####.#.##.##.####............##..#.#######...######.##.#.##.####.###.##..........#####......####.##.....#.###.####........###.##.........#.##..##.#.#.###.#.#......##.#...######.#.....#####.#.....#.######..#.##.##.#..######....#.###...######.#######.######.##.#..##.#.##...###.##..##.#...#.#######....##....#......#....######.###.#####.#.##.#.#....#########.#........#.......#.##.########..#.#..#.#....#.#..#.#.####.##.#.#.#.##.###....#..#.#.#.##.#.#####...###...###..####.#.##..#.#####.....#........#..#.#.#######.#.######....#...#.......###.##.######...#...##.##.##.....########.##...#.##.#.####.##.##.#...##.###.#############.#.###.....#.#.##.###.#..#.#....##..##.....#.#.#.#.#.##..#####.###..#.##.#...#
#..#######.#########...#.##.....#.####...#.##.##.#.#...#####.###.#........................#.#...###.#.......##.........#.#########.###......#..##.#.###########.#############.###....#....###..##.....#.#.##...##.##.....#####.##.#.#.########.#.....###.........#..#.##.#.....#..#.##.##.#..##.##.#.#######.##.#.#.#....###.##.#.####.##.#.#.#####.#.#.#.#..#####.##.##.##.....##.#.#...######.###.##.##.##.#....#...##########.#....##.#..########.#.#####.##.##.##.###.####..##..#.#....#.##.###########...........##.####.##.#.###.#######.#.#.#.##.##...####.#.##.#.#.#.#...#.#####.##...#.#.###...............##.###...###...##.#############....##.##.#.#.##.####.......##..#...##.#.############.##########...####...###......#.######...#.#..#.######.........#..#.##.##..##......###..#..........#.#####.....#########.##..##..###.#...........##.###.#...###....#...###
#.##....#..##.#.#.#..#....#####......###.#.#.........#.#...........#.########.#.#.#.#####.#########.#.#.###.###.#.##.#.#.#..#.#.#......##.#...##....##.#####.#...##....##.#.#.#.####.##.######.######......##.##.....######.#####.#.......#.#..##########.##.#.#...##.#..###.#...##.#..####.###.#..####.........######.#.##...................#.........#.####.........#.#########.#.###..##....##..##.......####.###.##.#.##.##.####.#####.##...##..........#####.#..#...#..##.###.#.####......#..##.#.#.##.###.##.######.....#########...#.#.......##.##.#####.....#.#...#...#########..#########...#.##.######.#.##.....#...##.###..##.##.##.#.####.#########.##...##.####.##..##.#.......##.###.#.####.#...#.#..###.######...###.##....#.#.###.####...##.#.###.#.#.####.##.###....######.#.##.########.#####...###...#.############.####.###.#########......#####.####...#####
#.#####.##..#.#.....##.##.......####.........####.#.#######.#.#.#.#######.....#.######....#######.########......#.#..######.#...####.######.#.#####.....##.#.###.#..##.#.........###.#...##.##..######.###.##.########.##.....#...###.###...##.##.......#########.#####.##...#.#..######.#..#...##.#..#.##.#.##.#......#.#..##.#.##.##.#.####.#########...#.##########.#..##..##......###..##.#####.#####.##...#..##...#.#.#.....#..#.#.#.#..###..#####.####.#.##....####...###.#.#.#.#.##.#.#####.#...........########....#.###......####.#.####.##..#.##.#.#.#.###...###.##.##..##.#.#####.#.#############....#.######.#####.#####..##...#........##.......###..#.####....#####.##########............#....#...#.####...##.#####.#####.#...#.#.#.##.#####......#.###....#.##...##.#..............##....#####.###..##.#.....#.###....#..#.####......########.####..#....#.#.....#
#..##...###.#...##.#######.#######...##.#.#.##....###.......#.#.###.......#.#.#..##..###.##.#...#.##.#.#.#.#.##.#.#########.##.##....#..##..#.#.....#.#..........####....#######.#.#.###.##.###.#...##.###..#.#.##..##.###.##.###.#.###...###.....###.#.....#.#.....##...##.##.##...##.....###.##..##.##############.###.##.############.#.......##.....#......#.....#.##.###..####.###...###..##...#..#######.##.###.##...#####.##.......#.##.##.##....##........#########...........#.######.#.#.##########.##........######.#####.##........######.#.##...#.###...#..##.##.##.##..#...##.....#.#.##.#.....####.....##....####.#.##.##.###.########..####.##.######..#.##..#.#...##.####.###.####.#.#.#.######....#.#.###...#.#...#.########.....#...###..##.#.#..###.#.#..#####..#.########.#.#....##.....#...##########.##.....#####.#..#.##.#.#.....#.#####.##.#.#########.##
#.#####.#.....#.#####...#####......#.#..###..#.##.#...#.##.######...####.##.#.######.#.###....#........#.###..#.#.#....#.#.....########.##.######.#.######.#.#.#..###.##.#.......#.#.#.......#..###..###.##.....###.#..#.###.........####.....###.#########.#...###.#..#.##..#..######.#.#.##..###.#..#######.###.##.########.#.#.##.#...##.####..####.#####.#.#####...##.#...##....#.###.#...#####...##.#.#...##.#.#..###.###.#..#####.#...##.....#######.##.#######.#.#.#.#.#.#.#.#...#.#.#....#.....#########.#.##.#.#...#....#.#.#########...#.##.#..###.#.########.##.##.....##...####.##.##......#.###....####.####.#...##...##....#.#....#.####....###...#..##.##..####.#.###.........#....#.###.......#####.....###.###...#.....#.##...#.#...###.#.########...######..##.##.#........###.#.###########.###..#.#.#####..######..###.##.####.#.#.###..###..##..........#####
#..##.....#.#####.#.###.#.#.######.###.####.##.###################.##....##.#.#...#.....#####.##.#####....#..##.#.##.#.#.#####..###.#...#...##....####.##..######.#.####.###.#.#.....##.####.##...##.##.....#.#..##.##.#.##..#.#.###......#.#.#####.###.......#...####.####.##.##....###########.####.#.##.#..#.#....#..........#.#....#.####.##.##.#####..###.#.....#.#....#..###.##.##..###.##.#..#........#..#.#.##..##.......##.#.#####..#####.#...#.######.............###########.#.#.####.###.#.......##..##########.####......##.#.....#........##.#.....##.#.#.##.##.######.###..#..#....####.....###.#######..##########.####.##.#.####...####.####.###.##.....###.#.......####.##############.#.##...#####.#......##.#.#.#####.###.##########......#.####.###.######..####.#.##.#...#.#.####.#........##.........#.##..#.##..#........#######.#.##.#.##..##.##.##.....#
##....##.#####.#............##......##.#..######.#.###...##.#.#.....###.#####.#.#...###...########.....##...##..#..###.#.#..###.#.#.###...#.##.#.##.......##..#.....##.###...####.##....#.....###.....#####.####.#..........######...####.#####.#...#.#.#.#####.####.####.####.#####...##.######..#...#.#..##.....#########.#.#...########.#...#.##..##.##..##.#######.######.##....#.###.#...##...#########.##......#.######.##.#....###...####.#.###.#.##.....#.###.########.######..........#.....##.#.##....##.....#.....######.#......#.#.#.######.#..#.##.##......##.#....##.#...##...###.#...############.......####....##...##.........##.###.####.....#.....#.#.......#.###....#####.#.##.....#.#..##.##..#####.#.#....###..#.##.......#.###....#.##....#.#......#.####....#.#.####.#.#.#........#########.#########.##.##..##.#.##########..#....##.#..##..#.########.##
#..##.##.#.......#.#.######....#.#.######..#..##.#.#.###.#......#.###...##....####.######.#.###....#.#..##.######.##...#.#.##...........#.#.##.#.####.#.#..##.#####.#..########...#..#.######...####.##.##..##.....#.#########..####.#....#####.#.#.....#.#.....#.....##...##...###..###...##..##.###.#.#.############.##.#.#.#.#.###........#....##.......###..##.###.........####.#.....###..##.##.##...##########.....##.####.####.#.###..#.#.#.##..#..##.#.########.........#.#.###.######...#.#..#########..#.###.#####........#.#.#.##.#######....##.###...######.##.##.###....####.###.###.#...##.#.#.....#.######.##.###..#..##.########..#.#.#.##.###...#######.##############............##.##.#.######.##.##..####.#..###......##.####.....#.#######.##.#.####........##.#####.######.##.#.##.##..........##.#.##..##.#..###....#.#.#.#.##...####..##....####..#...#..#
#.##########.##.####.#......######.##.#.##...###.#.........#.#.##.##..#..#.#.########.......#...#.##.##.##..##.#######......####.######.#.###..#.#....#.####........##.....##.######.#.##.....#...#........#########.##......##....#.######.#.#.#############.#####.######.######.##..#..#####..#.#.#..........##....#....#######.....##########.#########.#.##.#......#.#####........#.#.....#####...###..##.#########.###..#...##.#.#.#.##.....#.###...#######.##.##..#.#.###.....#.####.#############........#####...#.#..#.####.###.#######.#....##.....###.####.#.....##.#.##.###.#...#....#####........#######...#..##.##..#####...###.#.##........#...#####.....#........#...##########.###########............######..##..######.########.#######.#.#####..######.###########..##..##.##.##.####.#..#.#.##.###.....##.##.#.##.##.#............#....##..#.####.##.##.######
###.#...#.####...##..##.##.##...##.##...#..#..#..#########.######.###.##.######.#.#.#######.###.#.#####..##.##....##.##.#.#..######.....#.##..####.########..######....#.#..#.#.#....#.###.######...###.#.###.###....###.#.#..####.########.#...##.##.##.#.####......##.....##.....##.##.#.#.##.#.....#.#.####.#####.####.##.#.#..##.#####........##.##.......#.######.###.....#.###.########..######.####.##.#.......#.#.##.###.#.........#####....####...##..........############....#.....####.#.##...##########.#.#.....######..#....##.##....####..#.#.....##.#.#.###.#..#.##.#.#...#...######...##.##.###...##.###.##..###..##.##.##.#....#.##.#.#...#.......###.##.##.####.###.##.....#......##..##.##.##.##.#......#.####..##########..........##.#.....##..#...###.##.###.###..##.....#.##.##.....##.#.#......###...............##.#.#.########.#..##...##.......#...##.#
###.###........#.#..###########.#######.#####.#.###.#.##....##......####.##.#...................###.##..##...###.##.....#.##...##.#####.#..####..###...##...##......##.#.##.....###.####...##...##.###..#.#.......##.#...####.......##......###.#..........#.#######..##.##..#####....##.#.#.#..##.##.###.##......#....#.........##..##..########..#..####.##....##..######.#.#####....##.####..#.#.........#.###.###........#.#.#.####.######.#.#.##....###..########.##.....###...##...###......#..#####.......#....#.#.#.#......##.#.##...##########.#####.#......###...##.#........###.#......#####..####...#.....##..##...##..........#.##....###.##.##.#.#.###.######..............###.##.#####..##...#..###############.###........##..##.########.#.#####..##.####..........##.##..##.#####.###.#.##..####.#.#...##.#.#.#.#.##.#..#####.####.#.###.###.###..#.#.#.#.####.#
#.....###.###.########............#.#...###.#....#.....#.##.##.##.#.##...#..####.#.#.#######.#.##....#######.#......###.####.#....#.##..##.####.######.###.##..####.#########.#.......######..#......##.#.#.#.#.#.#..#.#.#..##.#.##.##.####.......#.######.#.#.#..##.#######..##.####.#..#.#.##..#..#############.####.#######.#########.......###.#.##.#######.####.##...#####.#...####..#.###...###.##.##...###.#...######.#.#.####....#.#...###.#####.#.#####.####..####.#.....#.##########.##.#.##.....#.###.##########.#.#.##..#.#.##.#.........#..##....#.#.##..####......#.###############...####....#.###########.###.###.###.##.#....##.#...#.##.##.#.#.......#..##.#.#.#.#.###...#..#.......##..####..#......####.#....##.##.####..##....###..........##.....#.#.#.######.#.....########..#.#.########.###.##.#####.#.###.##.##...###..........###...#...########..#.#.#
#.#.#.....#####.#.##.#.######.###.....#...#.####...#.#...##.##.#..###..####.#....#.###########.#####.###########.##..##.#....####.#.###.####....##.#.#.#...##########.........##.#.####.##########.###..#.#.#.#.#.#.#######....####.####..#######.#.#........#.##.##.#.##.###.........##...#..##.####....#.#............#...##.##.#.#.####.###.....#.#....#.###.##.#.##.###..##.###.#..##.#.....#.....#..#..#...#######...........#.####.#.###.##......#...#.#......####..######.####......#.####....##########........#....#######.#.#.#..##.####.#...####.#########.#.######.##...............#.#....##.###....###.##.#.#.#..#...#####.##.######.###.#######.#.#######.###.#.###.#...#.#.##.#.#.#.#..########...#.##......#.#####..#.#.##.######.....##.#.###....#.#.....#.....##...#.#.##.#.#.####.####..##.....#.##.....###...#.##.##.###.#.#.#.########.#.#.#......##..##.#.#
#.#.####.##..........###..###.#...#.#.#.#........#####.#.##..######...###.#.##.###.#............##......##..#..#####.#..##.#.####.....###.#..##.#....#.#####......########.##.#..#.#.........#.##...##.######.#######.#.#####.##......###..##.#...#.###.####...........##.#.######.##..###.#.##..##.##.#...###.#.##.#.#...#....#.......########.##.#.####.......##.#..#.#.##....######....##.#.###.##.##.#####.###..####.#.######...#....#.#.#.#####.#...###.######...###.##..############....#.####.##.#.#.#.########...#.###.#....#.#.##.#..#....#.###.##.##..........#..##...########.#.########.#.##......####....#.#.#.#.##.###.#.#######.##....###.#.#####...........###...#.##.#######.#.########.#..#.##.##.#######.#.....#.##.#........###.#.#####...#.####.#.#.#.#########.######....#..##..##...###.#######..#.####..#.####..#..##.#.###...#.##.###...#.########.##.#.#
#######...##.#.#.#.#..###.....#.#.#.#####.#.#.##....##.#.##.###.#######.#......##..#########.#.####.###.###.#.####.###########..##.#.###..#####.##.#...#.#######.##.#.#.##..#.####.##.#.##.#....###..#.#.#.####..........#.######.##.##.##......#.####..#....#.##.###.##.....##....###..........##..######..#..#########.####.###.###.##.##...###.......#.#.###....##.#.#.###.#......##.#....#######...###.....#.#.##..######.....#...##...#.#.#..######..##..###.###.#......##.#.#.##.#.####...###....................#.###.....##.#.###..#.#####.#.#....####.##.#.#.#.#.##..#..#.##.######.....#######.#.##..##..##.#.#.#.#..............##...##.#..##.......#.###.#########.##########.##..#..#.#####.#.##.####.......##...#.###..#...######...#####.###.#.#...########........####.#.#..####.###.##..####........####..#.####....#.######.#####.#.#..#.##..#####.#.##.#.##.#.#
##.##.##.###.########.#.####.####.#.##.#..#.#.#..#.###.####.#.....#..#..##.#.#.##.##.........#.#.####.....#.#.##....#.#####.###.####.#.##.#.#......###.#.#.#.##............#####....###.##.##.#.....##.#...#.###.#.##.##.....#.#####.##.#..#.##.####.#####.#########...#####.#..#.##...#.###.##..##..##..##.######.#.#.###.####...###.##.####.##..#.###...#.######.........#####.#.#....#.#.###.#..###########......#.##..#.#####.##.#####...#.#.##.##.##....##.........####...............####...####.##.#.#.#.#.#.##########################.#...####.#....##########......###...##...#.##.###....##.##########.#####.#.....##.###.##.##..#.#######....#######...#.#.......####...##.#...#.##.##..#............#####.###..#.#..##.##.#......#.#.#####...#######..##.#..#.#.######.##.#.#.###.#.#.#....##..##.#####....##.....##.####.#..#.#..##.######....##..##......#.#..#...#
#........#.###........#.####.#.##.#.#....#######.###......#######.##.##..###.#..######.####.####.#.######......####.....##....................####.#............#.#.#.#.##.#.##..#.##....######.##.#######.#...######.######...#.#....#.#.##..###....###.####......###..#.##.##############...######....###.####.#.#.#.###..##..###...##.#....#..##.#####.###..########.####.#.#.#.###.######.....##.#.#.#.#...#.##...###...###########.#..#...#.##.#...####..###.###.#.#....##.######.#.#...#..#..########.#######.###.##.##........##.#.#......#....#.##.#.....#.#.####.#.#####.##..#........#######......###.....###.#.###..#####.##.###......##.####..###.##.#.###.#####.##.#.###..#.#########.##.#####.##.#...###.#########..#.##.###.#.######.#.#.#.###########...##.#...###...#.......#.#.#.#.######.##..#.###############...##.#.##.##..#.##.#.#.####..####.#####.#.##.###
####.#.###..#######.#......###.##.#.####.#.......##..##.###..###......#.##...#.###.....##.######........######.#.######.#####################..#########.##.#.#.##########.#..######..#.##......#....##....###..#.#...#.#....#.....##......#########......#...####.#.##........#.#.##.##....#..##.#####.##...........#.#.##....##...#....##.#...##..#.......##............##.....#########.######.#......#.###.######.#.###.#....#..#.#.######......###.#.###.###################......#.###...###.#.##.....####.##.#....#.######.##......###.######.########.##..........#...#.#.##.##.#.#.######.....######.###.###.......##.....#..#...##.#.#.......##......###..##.##.#####....##.##...##.##......#.######.###...###.###.#.######..#######.#.#......#.#.#.#.####..######.###.##.##.#######.#.#.#...#.##.###.....#.##.##.#.##..######....##.##..#.#.#....##...#....#.#.#......#
#....#.###.##.########.###.##...######.########.####.####.##.#.##.#.#....###.###.#####.#...#.#.####.#.#.....##....#.#.............##.##.......##.........#..###.#..........##........#########.###.###..##.####.#.###.#.#########.####.##.###.#.##.##.###...######......##.###.........#######..#.#.##...####.######.....############.##.######..#.####.#.########.#.##.#..####.####.##.#...........##.#....##..##.#......#.####.##.....#...#######.#.#.#.#.#.#.##...#.#......#######.##.#...#..##...#..#.###.#...######.#.#.#....##.#.##.#...####....##....#############.#.###.......#####.####.#.######.#...##....###.#.####.#.#.#.###########.#.##.########.######.......#.#.#####.#..#..#.#..####........#...#.#..#..........#..#.##.##.##.#...########.#.#....##.##.#######.##......####..#.#.#.###.....##.#####..#.##....##...#.#..#####..##.#.#.#.####..###.####.#.#.####.#
#.#.##.#....#.....##.###....##.##..#....#.##....#.####....#.......#####.##.####....#######.....#....####.##....##.....###########.##.######.#..##############...#.###.#.#.#######.##.#.#.##....#.....#.##..#.##.#.#.###....###.##.#..#.#..##.......########.##.....##.#.####.#####.###.##.##.##...#..##.###.#####..#####.#..###.########.#.##...####.######.#.#....###..##..#.####.#......######.########.#....##....#.##...........###.###.......#.#.#.#.#.#.#.####.#.######.#..###########.#.#####.#######..###..##..........#.#######....#.#....#.######...............#...###.#.#.....#.............#.#.###..####.#.####.#######...###....##.#..#.....#.##.....###.######.#.#.##....#####.#.###########.##.#.#.####.##########.####..........###.#.#.#......##.........###.#.#..##.###..##...#...#...#####........##....#########.##.#.#.#.###.#.#....##..##...#.##........###
###########.#####........##.....##...##......#.##.#.###.#...##.####.....##.##.##.###.##....#.#...#####.#..##.#..##.##.###.##.####.##.#..##########..###...#####.#.#...#######.##..####....################...#.......#####........##...##..#######.#.#...######.#.#######..........#.........####.#.##..##...##.#.##.###.#.##.......##.....#..###.#...##........##..#######....#.#...######......###..#.############.#.#..###.#.#.#.#.......#.#.#................##.....##....##.....#..##...#.#.#....##.#.##.#.##....#.#.#.######.##.#..##.#.##.#####.#.#..#.#.#.###.#.#.#.####..#.########.###.########.#...##.##.#.#.......#.#.######.#.##########.#####..##.#.##.#..#...#...#.##.####.##....##..##....#..#####...##.##....###....###.###.#.#.#.#.#.#...#.####..####.####.#...##..######.####...###.###..###.#####..#.#######.#.##.##.#...#.#.#.#...#####.###.###..##.#########
##.#.##.###.#..###.#######..###.########.#####.#....#.########..#######..........##...###.#####.##.......###.#.######.#................##.#...##.##.#.#.#....#######.###...#.....##....#.##.###.#.#.#.#....#...####.##.#...##.#.#.####..##.#.........###...##.#####.##.###.############.#.##...#..#.###..###.......#........###.#.#....#.#...##...#.#..####.#.#.###..####.####.....#.#############.##.#.##.#....#.#######.#...########.###.########.###.#.#.###.##..#.#..####.######.#.##..#.###...##............###.##.#.####..........##..#..###.........########...#.#.#..#.#.##....#.#.############.#.#.####........#####.......##.#....#...#..##.......########.#.##.###.###.#.......#..#####.##..#####.....#####.....##...#.####...#########.......###....####.####.##.#.#####..##.#...##..####....#.##.#.#...##...###.......##.#....###...#.#.#####.#...#..##.###.........#
#.........#.##.....#..##...##....##.#.....#######.#.#..##....##.#.....#.#.#.##.#....#.....##.....##.##.####..###......###.#######.#.##....##.##..##...######.#.#.#.#.#.###.##.##..##.#.#............#.###########....#.########.#.#.###.#..#########..####.#...####.##..####.##..##.#.########.#.##...##.....#####...#####.##.#.#.##.#.##########.####......###..#####..#.##...##.##.#..........#.....#.##.####...#.#.#.#.##.####......#....##......#...#.###......#####...#.....#........#######.######.##.####.#....#####....##.#.##.####.##.######.#.##.#...##...#.#.#.##.#.#.##.##..........#................#.###.########.#.####.#.####.###.#####.######.#.##..#..............#######.###.....##.#.#.###.######..#.########..#.###......#.#..#########.##..###...#...#.#..##.##..#.#.#####.##.#.####.##.....######.....##.####....#####..#.....#.#.#.#.###.##..#.#.#.#.#####
#########...#########.##########.#....##.##...#.###.#.##..##..#######...#.#.#####.#.####.###############....#####.#.#.#####...#...#..##.#.....##.###.##............###.#.#.##..####..#.############.#.#.#.#.##....##....#.#.....###.....##.#.....#...##.##.###..#.#..##.#.#...##.#.....#.#.#.#.#..##.#########.#.##.######.#..#.#########.#######.##.#.#.##.#...##.#...##.#..#..#..########.###.#####......##.###.#.......#..##...#.##.#.##..######.###.#.##..#.#.##.#.###...#.#...#.##.#.#.......##......####.....##.##.#####..########.....###......#.##.#.#....#.#.###.##.#...#####.##.#.#.#...########.#.#.###...#.......########..#.#.#....#..#.##........#..##...####.##.##.#.....#.#.#.##.####.......#####...##.####.##.##.##..##.######.##.#.#####.###..##...#...###.#.##..##.##.#.###.#..#.#.#.......######.################.#..##.####.#####.....#.....#..##...#####...#
#.........#.....#.#.#.#...#........#.##...###...##.......####.##......###.#.#.....###..#...###.#.#.#.....##.##..#######.....#...#######.##.##.....#...#######.#.##..........#####.########.....##.#..........####..####...############.#########...#.........##.#.##.##.#.###......###...#.#.#.#.##..##..#........#.#......##.####.#####.....##........###..#.#.#..###..#.####.##.##......####........###.###.#.#.##########.#..#.#.##.#########.####.#.#..########........#.####.##############.######.####...#.#..###...##...######.###.#.##...#.##.#..###.##.#.#.###....#####.....######.#.#.#..#######.#.#..##.#.#.#####.....##.##.#.....####.##..#######.##.##..###.#####.##.#.###...#........##.#.#.###.#.##.###.......#.#.....##...#..##.##.#.........##.##.#########...##.##.........#.#.##.....#####.................###...#.##.##..##...#.##.#####.#####.####.##..#..#.#
###.#.#########...#.#.###.####.#.#.#.#..####..#..###.#.#.#.....######...#.#.###.#.####.#.###.........###..#####.###.....##.###.##.......#########.##.##..##...###..##.#.#.#..#.#...##.##.#####....#####.#.##..###.######.###.####......#.....####.##.#####.#.........#....#.#########..#.......#.#..####.#.#####.#########.....##....#.#####.####.##.########.####.###.##.###...#..##.#.#..#...########...#.#...........###..##.#.#.##.#...#.......##...#.#####..######.#.##.##.###.##.#.#.#.#...####...##...#.########.#########.#.......#..###.#.#..##.##..######.##..#.##.....#.#################.....#.#.#.##..#.#.....###.#..#......###..##...##...###.###...##.##......#..#.#####.#...#.####....###........#.#.#.#######...###....#...###.##...#####.###.....##.#.##...#.#.....#.#.#####......###.....########.#.#####.##.#.#####...##..#.###.....#.##....##..#.#..##...##.#
#...###..#......#..............#.#.#.##.##.##.##..#..###.#####.#.##.#.#.#.#.#...###.#......####.#.###########...#.###########...##.#.#.##.#.##.##.#...##.###################...#.#..#.#..#...####...##..#.###.#.#.#....#.#.#.#..##.##.####.#......##.#.....##.#.####.##.#......###..##.##.####...##..##..###.#.#..##.#...#####..####.........#.#..######......##...#...##.#...############...#.####.##..#.....#.###.#.#.....##..#.#.#..#.#...###.#....#.#.#...##..#.....#.#..#..##.............#..##..#.####.#.##.......##..#.#.#...##.##.#.##...#.####...####.#.#####.##..#####.#.....##.##.#.#..#..#.###################..####.##.#########....#....#.....####.##.....###.##.##.....####.##....##.#...#.#.######.#......#.##.############.##.....#.....#..###.##.......#.########.######.#.#.######.############.#####.#.####.#.#.##..####.##.#.#.#####..#.##.##.##.#.###.######
########.###.#.##.##.#.##.##.#.#.#.#.#..##.##..##...########..........#####.#######...#.####....######.##.#.###.#.##.###.##...####.#.#.#............#..#.#..###.#.#..#.#.#.###.####.#.##.##.##.#..###..####.#.#.######...#.#...########.#####.###.#..###.#..######...########.##.##.########.###.###..##.##..#.#.##..#.#.......##....###.###.#...##......##.#..###.###..#.########.#.#.#.#######.......#####.######.#.#.##.####.#.####.####.#########.###.#.#..##...##.##.#####....####.######.##.#..####....#.#..###.#..##.#.#...#.#..#..#.####.#######.##............#####.....#.###...........##.##..#.#.#.#.#.#.#....##..######........####.##.#####.##.#.#.....#.#.###.##..#.###...##.#..#.######.######....#...#.####..#.#.#.......##....##############.###..#.#.#....#.##..#.#.#.#....#.#...#....#..##.......#.#.....#.#.#.#.##.##..#.##.#.#.#.#.#.##.####.......#.#.##.###
##.##.#......####.#..#.##.#..#.##########.....####.###.##..#.#.######.##.####.##....#.#.#..####.###....##.#.#.#....#.#.#.##.#.#....########.##.#.#####.#...##.....##.#.#.......##........##....##..#####.#......##.#####.#.###.#####.#..#.#.###...##.#...#.###.#.###.#.#.#....#.......##.#.#.#.......##...##......#.##########..####.#...#.....#.##.###.#########...###.........#......#.#.......#.#.####....#.##...#.#.#...#.######.###....#..##.##...#######..#.#.##.####.#.####.######......####.##....#.#####.###.##......#####.#.##.##.#..#.##...#########.######..##...#.###..##.###.#.###..#.###...............##..##...##.#.######....#.##.....#..#.#...#######...####.##...#####..##.#.##.#####.#.##.####.#####....##.#.#.#############.##....#.##.....#.###########..##.........#.##...###.####.##..#######.#.#####.#.........##....#............#...###.##.#..........#
#..#....#.##.##...######..#.##.##.##..##########...##..###...#.#......##..##.....##.######.#.####...##....#.....##..........#####.####......#..#####.#.###.####.#..#.#.#######..########....##..#.##.##..######.................##.#.##.#.......###..##.##.#...#.#.#.......##...#####.#........#.#.#..#.#########.#..##.....###.##.#####.#.#.#.#.####...##.##.....#.....###.###...####.#.#.#############..##.#....#.###.##.##......#.####.#.##.......#..##...##...###...###.#.##.###......###.##.....##.#####.#.###...####.##.......#.##.#####...####...#..##.####.....#####.#..###.##...#.#..###.....#.###.##.#.#.#.###.##..###.........##.#.#..##.#######...#......####..#.#..#.#....###.##.#.....#.#.....#........##..##.........................####....#.#####...##..##..##..############.###.........#.##.........##.##.#.############.##.######.#####.###.#..#.#.#.##.##.##
##...##.#.#..#..#.##..#..##..####..##...#.#.##.###.###.....#.#####.#.####.#..##.#######......#.###.##..##...#.#######.##.##..#.#####.####.####.##.......#....#####......##.#.#.##.#..#.########......#..##..#.#.#.#.##########.##.......###.#.#.####.#########.......#.#.#.#..#.#.......#.#.#.##.####...##..........#######..##.##..#.##.###.###.#.####.##..##.#.###.####....###.##....#.###.#.##...##...##..###.##.##############...#.########.####.##.#..###..#########.........#..####.##...###.#######.##.......#.#....####.##.##..###.#.#####.####.#.##...#.####.##.....##...#..#.###.#.##.##.####...######.#.####...##..##.##.#.#.##..#.##..#.#.#.##..#.##.#.#...###...#.##.#.#.##...##.####.##...###.#.#####.##..######.#.##############.#.#...##.#######.##.#####..##..##.##....##.##..#...#.##.##......#######....##.#...##.##.#.#..#......##....##.......###############
#..#.##.####.#.##..##...####.#....##..#...#......###.##.#.##..##...#..##....######.##.####.#.......###.#########..#...##.#####..###.........###########.##.#..##.######.#.........##...###...####.##.#.####.....#####...........#.#####..########.####.#.#..######.#.#.#.###########.#.##.######.######.###########.#####.##.#...##.#..###...##..#...######.###############.##.#####.#....#....####.#..#.##.#######.#..#.....#######....#.......####..####.##..##.....#.#########...##....#..#.######.#.......##.#.##.####.#....#..##.##......#.##.#......####....#.#.######.##.#.#.##...###.....########....########.###..##....##############..####....######..#.##.##.#######..##########...##...#.#######.....#####....#####....##.#....#.##########...#.##..#...#..##.##.###.#..#.##...##...###.######.#.#......#######....#.#...#.#.##...##########.#..#######...#....#..#.#
##.####.##...##########.#.#####.#....##.#...####........#####.###.###..##.#.#.#..#.....#######.##.##...#...#.#.##.##.#####.#.##.....###.#.###.##...#.....####.#...........#######....#...###.#.##.#.....#.###.#####...#####.##.######.##..##.#.##...##...##.#......#.######.##.#.#############.###.#.....####.#..#...##......##.##..#.###..#.###.#.#..##.#....#.#.#.##....###........##.#.####.#.#....########....####.#.###.........##.#########....##.......#######...........###########.####.#....######.##..#.#####.####.#.##.##########.#....######......##........##..##.###.##.#.##..#.#.......###.###.##.#....##.###.##...#....##...#####.##.####....#.##.##.........###......##.####..###.....#.###.######.#..#.##...####......####.####...##..###....##.###.###.##.#.#.#.##....###..#...#.....######.#.##..###....######.###.#.###.##....#.######.........###.####.##.#
#..#....###.####.#.#.####.#.#...###.#####.###....#.##.#.##.....##.#...###.###.##.#####.#.###...##.####.#.#.........####......######.##..####...###.####.###.#.######.##########...#.##.#.#.#.#....#####.#..######.#######...#..#.##.#....##..#..##.#####.#..######.#####..............#.###.#...##.####.##....##.###.#######.##..##.#.#.######.######.##.##.#.#.#......#.#########.#..###...##.#.#.##...##.#...##..#.....###.##.#.##.#...##.##.###.#.####.#.#.##......#.#.##.##..###..###...##.....##...#.....##.#..##.#......#.####.#..#.......##........###.######.#.#####.#...##.##.#.##.####.#######.....#......#.##....###..###.####..#..#.#........#.#######.##.#.#######.#####.###..#.####...#####..............#####.###..########......#..####.##...####...##.#.#...........##.###...###.##.#.###..###########.####....##.........##....####.....##.##.########..#......#
#.##.####.###........#.#..#.##.######.#########.##.##.#.##.#.#.##.#.#.#...#.......#.#....#.########.##########.#.#....######.#..#########....#............#.#.#.#.#####.........#.#.####.......##.#.......##.##.#..###....#.##.#.##.####.###.##....#.......##.##.###...#####.###.##.#.........#..........####.##.##..#.##.#...#.###.#.#.#.#.#...#.#....#.####.#.########.##.#.##.##########........##.####...#####.#######....###.######....##.....#.#....#.#..######.#.#.##..##.#.##.#.#.#..###.#.#..#...#####..#.##....####.#..###.##.#.#.#.#.#..#.#.#.##...#......#.##.##.##.##...#.#..#....#..#....##.####.##########.#...##.##...#.##.####.#.##.#.#.......##...#.#....###..##.####...##....###.....#.#########.####.#.#...##..##.#.#..####...###......#####..#..#.#...#.#.#.########.##.##.####.###.#.##...##.##.#..##..#.##..#.###.####.#####.##.####...#..#####.#.##.#.####
#..####....#..######.#.##.#.#..##.....#.##...##.#..#..###..#####..#.#.##.######.#...####.#.#.##..##....##.#....######.#.#....#.##..#..##..#.###########.#.......#.#.#.####.#.##.#.###.###########.##.#.##.....#.##.#.##.#.###.....#.#........#####.#######....#....###..##...#...######.#.##.###.#######..#.#.##.###.#.##.###.#.##....#.#.#.###...####.#..##....#.#...........#..##.#.#..##.###.#.#####....#####...........#.######.#..####....#.#.####.#.#.##.#......#.###..##...........#.##...###.####.#...##.#.###.#.##...#.##........#####.#############.#.##.###.....#.######.#####.#.#####...##.##............#..#####.##....#....#..##.....######.#.##..#####.##.###...##....#..####.#####..###...........#.#.#......###..##..#...##.######.#.######.....###.....#####.###.#.#.#...........####....##.###.....#.####.###..########.#.........#..#.#.####............###.##
#.##....##...###.#.#........#######.#......#....##.##.##########.##########.#...#.#...##.#....##..###.##....#.##........##.#.#.###.##....####.#.........##.####.#..........######.##....###.###.#.##.########...........#.###.###...##.#.###.#.#......##.####.##.###.##..######.##.#....######.####.##.##.#.#.##.#.#.#.#..#.#.#.#####.........###.#.##.##..####.....#.###.###.##.#....##....#...#..##...##.##....#####.#.###.##.###...##.###.#.###...######..#######.###########.######.#.#..#####...##...#.#..#####.########.#..##.#.##.###.######.#.#.#.###.#.#..#...#.###..##.......##.#..##.###..#..##.##.#.#.#.##.###.####..#.###.#...####.#####..##.#..##########......###..####.####......##...##.#.#.#.######...##.#..###.##.##.###..............###.###...####.###..#..#........##.#########...##.#......##.##.####..###...#..###.#.#########.##.#.#.####.#.#.##.#..#...#
#..###.##..#.#.......#####.#####.#########.#.##.##.##.#..##..#.#####.#.##...##.######..#.####..#.##.#.###.#.####.#.#.##..###.....#..######.##.#######.#.#..#......#.#.#.#.###.#######.#.........######..###.####.#.####.###.#.##..#..######..#.####.###...##.....#.#.#..##.##.###..########.##.#.......................##.............##.###.##.#...##.###.#####.##.###...#....#.####.#####.#.#.##.#..#############.####.#...#..#.###........####..#.#.##...##........###.#......#......#.#.##.....#.####.#.##.............#..#.##########.#...##.............#.#.###.##..##.####.###.##..##.#...##.###..#.##.###.#..........##.##..##.#.#..#.#.......###.##..##....#####.#.#####.#.....#...########.##..#.#.#.###.##.#########.#..#....#.##.#######.#.###.#.#####...##.....###...##.##.###.......##..#######.########...##..##.#.###.##.#.......#..##....#.#...############...###
#.##...################.##........##.#.....#..##########..##.#..#.#....####.....##.###......##...#..#..######..###.#####.##..###...####.....#...#.....#.#.##.#.#.##########.....###.######.####.##.####.#....#######.#####....#..###...##.##.#.##.#.#.###.#..#.#.....##..#.#..####.####...#....####.#.##.###.#.###.###....###.##.##.######....#.###.##.#.#....##..############...#.##...#...#.#.#..######.##.##.......#########...####.#.#.#.##...##.#....#.###.#.##.##.....#.#######.#.#.############.######..####.####.#...##.##.........###..###########.#####.#....##.##..##....#####.##...#..#...#.##.##..##.##.#############.########.....##.#.###..###..##.###.#####.##.##...###...#.......##.##.##.#.#.............##...##...##............#.#...........##.###.########.##...###.###########..##.#......##.###.####...........#...#######.##..##.....#.....#.#..#.#####.#
#.###.##..#.#.#####.#.#.##.#.##.#....##.##.####...#.##.##.##.##.#.####......#####......#.#.#####.##.#.##.#..##...###........##...#....#####.###...#.#.#.#.#..#.#.#...#.#######.##....###.######.#....#....##.#.####........##.####.##.##..#.................##.#.#.#.##.##.##.#.##.#..###.####..#.#########..#.##..#...#.##...#..##..##.#####.....#.##.#.#.##.#####.....##.#.###......#...#.#.#########.#.......###.#..##.###.###.#.####.#.#.##.#..#.###.##.#.###########.#######.....###..#.#...##.#..#.#.##########.##.##.##############...#.##..#..#.###...##..###.##...##..###.###.#...##.###.#.###..#.##.#####...#.....#.##.####.#.#.#.#.#..###.#.####.#####.#.#...###.#.....###.###.######.##...#.##.#.#.####.#.######..#....#..##.###.#.########.#.#.##.######......#.#.#..###.###...#.##.#.#..###.#.#######..##.#.#..#.#.###.#...#.....#......###.#.#########.#.##.####..#
#.#.#####..................#.#..##.#....##.##...#.................#....########...########..##....#...#....##..##########.#########.#........###.##.########.#######....#.#....#####..#.........##.#...####..#.#.#..#.##.#..######.....##.####.######.#.#.#.##.#####..#..............##....####......#.##.#.##..##.#.#.#..###.##.##.##.....######........####.#.#.#####.......####.#.####.#####...........########..##................####.#..###.##.#....#.#....#.....#####.##.###.#.###.##.###....##......###...##......###.##.##.#.##.###.#.###.##.......#.##.###...##.####.##......##.###.##..###.######....##..#...###......##.......#.#.##.#####..###..##.#.#.#.###.####.####.....#......#####.####..#.#....#.#........##.#.###.##.#.########.#.########.....####.##.....#####....#.###.##...##.#.#.#..##.##..###.#...##.#..#####.###.##...###.##.###....#.#.##.........##.#
###.##.##.#.#.#.####.#.#.#.####.#####.#..#..#####.######.########.##.###.##.....####.##.###.#####.###.####.###.#.#.#....####.#.###..##.#####.#...##.##.#.#.....###...##...####..##.##.###.#####.############.#.#.##.###..##.###..#####.#....######.########.##.##.###...#####.##.#.#....##.#..##.#.#.........####..#.####..##.#..#...##.##.#......####.#..#.#.#.#.#.#######.#......#..##..#..#..##.###.######.##.##.##.##.#.#.##.#.##...#..#.###...#####.####.##...#.#..............#...####.#.####.#######.#.###.####.####...##.#..................######.#######...#.##..#.#.###.#.####.#...###..........##.#####.##.#####.#.#....#######.#..#.......##...##..#..........##...####.####.#.##...##.....##.####.#.#.#.#.##.#.##.#...###................#.#.#.####.##..#.##.#.#.##..##.#..........#..#.#.#...##...##.#.....#######...##..#.#####.###...#.#...##........#.###.#....#
#.......#########....#####.##...#.....##.#.##.######.#########....#####...#########......#..#..................#.#.####.##...#.....##..#.......#.####......#####.###.####.#....##...#.#.####....#.#.#.#..........############.#.##.#.#.###.##.#.....####.#######......#.##....##.#########.##.#..#.####.##.####.##.#.##...######.#.#.#..#..##.##.##....##...................##.#.#.#.#######...#####...####.#........########.#..#.####...##.#...####.#..#.#...##.##.#.#.#.#.######.#.#.#.............#.#.#.#........###....#....#####.#.##.###.#.#.............###.##.##.##.###...#....#.#.#..##.#.#.######...##.####.#...#.#.##.#.......#.#.##.#######..####.##.#.###.##..##.##.#.....#####..#.##.#.#############.#.###..#..#.##.######.##.######.##.......########.###..#####..###.#.#.#.#######.......#....#......#.#...#.#.###..##....#.####.###...#.#..#.################.##
##.####...##.#.####.##.....#..#.#.#.#########.#..#......#......##..##.###...##.##.######.##.######.#########.#.............#...#.#.###.######.##.#....#.#.##...#.#####..#...##..###.#.#.##.####.........##.#.###...##.#.##.#..................#####.#.#....##.#..##.#######.###..#..............####....##.#....#..#####.##......#.#######....#...########.#.#.#.####.#.#.#.####.###.##......#...#######......#.#.#.####...#..#.##.#....#..#.#.#.##.....##...#######.#########......###########.#.#.#.......#####.##.######.#.##.......######...#.#####.#.###.###.#.##.#.......##.##.######.##..#.#.#...#.##.#..#..##....#.###.##.#.#.#.###.#.######.#.##.........#..##..##.........###############.####..##.#.#.####...#########.......#..#.....##..##.######.....##.#######.##.##...#.###.###...##.###.####.##.#.#.##.#.#......###..##.#.#.#.##.###.#####.##...............##..#
####.###.##.....#...######.#.##########.#.##..##...#.##...##.#####........#.......#.#...........#####........####.#.##.#.#.##.####.#.###......#..####.########.....####.#######.#.#.#.#.#..#.###.#.############..###....#..######.#.#.#######...........##..#...##...##.....########.#.####.##.##....##.#######.##...##..#######.#.###.....#.###.##........#.#.#.#....#.#####.######.#####.#.#.###.############.#.####.###...##.#..#.##.####.##########.#######.###..#....#....##.#....##....###########.##..###..##...#..#.####.#.###.##..#..#.#.#.....#...#####....###.#.#.###...#..#######..##.#.#.#....#.##...####.#.#...#..#.#.#.#...###.............####.#.#####..####.##########.#.#.###.#.####.##...........#.#.........##.#.#.##.#########.###.....#..#####....#.#.#.....###.#..##...#.###..#####.##..#.#.######.###.#.##.#.##..#..........#.....#..###.#####.#.#.###..##
####..#.....#.#...#.#.##...####..#.##......##.#########.######..######.##.##.##.#...####.#.###.##.#.##.##.##.##...#.#..###.##.#....#.#...#.#.###.#....#..#.#.#####.#.#....##........#.#.##.#.#.#.#.#...##.#.#.##.#.####.##..#.##..#####..#....#.#.#.#.#####...#..##.#########..##.######..############...##.#.#....#######.......###.#####.#..###########.####.#.#.##.#.##.##........#.#.#######...#.....#.#.##.####.#.#.#####..######..#######..........##.#.#.#.#######...##..####.#######.#.#.##......#..##.#######.#.#####.###########.##.#.#.##.##.#.#..##.##.#.##..#.#.#####.#.##.#.##..###.#.#.#.#.####..#.##...#.###.##.#.#.#.#.#...#.#.#######.#....#.#.#.####.#.#...#.....#.........#.....#..#..##.#.#.##.#.##.#.######..#####..........####..#.###.###.#..####...#.#####...##..#####.#.####......##.#.#....###...#.####.#####.#.###.#.#.###.#.##.####.....#.###...##..#
##.##...#.#####.###.#....#.##.##.#.#..#.##....#.###.#.####.####.#.#.....###...#####.##.######.....#.##.##.##.##.#.#.##.#####..#.#.##.###################.#.#....#....###.##..#.#.##..............#.#.#..#.....##.#.###...##.#.###.##.###.######.#.######....#########...#.####.##.#.#.##.##...#..##.#..###......##....#.########.##........#.##............##..#.###..#.#...###.###.##....#.#.#..#...###.#.#.######........######.#.#####..##.##.#.#.#.###..#.#....##.#.#####..###.....##.........#####.###....#.##.......###...#.##.##.#.....#.####.##.#.#####.#..#..##.###.....#.#......##.##...#.#.###...##.####..#.#..#####.#.#.#.#.#####.#.......#.########...#.##.#.#.#...#.#...#########.#####.##.#####.#.####.##.#..#.#.##.....#.#.####.####.######.........##.##.#.......#######..###....#.##.#########.#.####...#.#......##.############...########..#.###############.#
#.....######.####...##.#.#.#.........########.#.#.....##........#.####.##...#.#.....##.##.#...#.#.#....##..########.####.####.#.#.#..#.#....#.#.##.###.....####.#.####......##.#############.#.#.###.##.#####....#.#.#.#....#.#.#.#......#....###.#......#.###.#.######...#.##.##.#.#....####.##......#####.##.####.###...........###.#.#.##..####.#####.#.#..#######.#####..#####...####.#.#.##.##.###..#.#...##.#######.##.#.#....#.##..##...#########.##.....##.......#.#####.#####.##########.#.######..##....#######.#.#.#...........###.###....##.###.......###.##.##..#.#.#.##.###.##..##.##.#...#####....#####.#.##...###.#####.....#.#.#.#.#.#.....#.##.#...##...#.#.#######..#...............#.##.##.#....###..##......#.#.#.#.#....#..##..#.#.###.##.#.####....###.#.#..###..##.....##..........##..###.##.##.##.#.##.#....#.#.#......###..#.#.....##.......#.....##..#
#.##.##...........##################.##..#....#.##.##..###.####...#.##..###.#######.....#.##.##.#...#.#######.##.####.##.#....#.####.#.####............###.##.#.#.##.##.##.######.#.#######..#########......####...#.######.....#####.##.###.####.##.#.#.#.##.....#.#.###.............##..#....##.###.#.....#...#.#..##.##.##.##.##...###.##.#######.....#.#.##.##.#...##...##.#.#####.........######.##.#.##.##..##.#.#...#.#.##.#....##.####..#.###.#.....#.#####.####.....#.....#####...................######.###.........##.###.#.##.###...##.#..###########...#..#..##.#.#.###...##.###..#.##.##.#########..###..#....#####.....#.#.#.#.#.###.#.#.#.#....#.###..###.###....#..##...#.###.##.##.#.......#.####.######..#.########.#.#.####.##..##.#.#....######.#.########.##.....####.##..##.##.#.####..####....##..###..#.#.##.......###########...###..##.#.#.##.######.##
#..#.#####.#.##.#####.#.#.#.##...##..###...##.#.#####.###########....######..##.#.#####.#.#...####.####..#.#..#...###......#######........##.#.##########.........#..#######.##...........########...######...####...##########..##.###...#...#.#..###.#.#..###.#......###.#.##.###.#.###.###.###.#...#.#.#.#.###...##...###..####..#.##..##.#.......#.#.#####.......######........##..#######..##.#...#....#..##.##.#.###...#.######.##..#.##.##..#..####.#####.#####.#####.#####...##########.#.###.#.#.###.#.......###.##.##...##.####.#...#########...........###.##.##..#.#..###.##...##.#####.##.......######.##.##.###...#.##.##.#.#.###..##.#.#.###.#.##########...##.##...#####.#...#######.##.#.#.#####.###...#####..##.#..#.#.#...#####.##..#.#.#####.##.......#.######.##.####..#..######.#...#..##..#.#.####...####.#..##.#.##...##.#.###..################......####
#.####.....#..####..#........###.#####...#.##.#.#.#....#.#.....#####.####.##.#..............########.##.##.##.###...###.#.##...#.####.##########.####.#.#########.#.##.#.....#..#.#.#.#.#......#.##.##......#..#.###.#.#...#####.#......#...#.#.#################.#.##.#.#####..#...#.#.......##..###.#.#.#.#...###..##.#####.#.#..##.#..######.##.########.##.##.####.#.#####.#.#..####.######.##.###...##.##.##........###.#..##.#...##.......##.##......#.....#.#.........#.#####.#.##.##.##############.#...#.###.##..##.###.######.#.###...#.#.....##.#.#.##.##...#.###.#.##...#####.##..#.##...##.#.####.......#.##..#..###.##..###.#..###.##.#.###...#......##..##.##..##.#.....#.#.#...#.#.#..#.#.#..##....##.###.####......######.#...##...##............##.##.#......##...###.#..###......#.#.#...###.######....#....#.#.##..#.##.###........##.#.##...#.#.....#######.#
#.#.######.#####.##...#.#.##..##.#.####.####......####.#.#####.............##############.#..##.#..........##.#...############...#.#...##.#.#.#...........#####......#.#####.#.##.###.########.#.#..#..#.#####...#.#.#.###.........#######.##.#..#.#.####.#.#.##..####...##.#..######.#######....##...#######.###...##..##......########..##....##.##.#........####.##.#..######.##...#..............##.##...#....###.#####....##..###.########.##.###.#.#.#.###.#.#########............#.#...##.##...##.#..#####.#...########.#.##.##....#...#.#.#####.##.#.#.#...##.##..##.#.##.#.##.....##....##.##..#####..#.#.#.#..##...####..##.##..##...###..#...##.##.######..###..##..#.#######.#.###.....#.#######..##.#.....##.#.###.###..##.#####.##..####.###.#.##.#.....#.##.#.#..#######.##.##..#.######.##.##.#....##..#.##.##########.#.##.....###.##.........#.....#.###.##.#..#
#.#...##...#........#.#######.##.#.#.#..##...#.#.##.......##.#############..#.##.##.......##.#..#####.#.##......#..#..#####.####.....#..........#.#######.....######.#.#........#######......#.#.##.#.#####..###...........#.###.#.##......#....##.#.#.#.......#####.###.##.#####.....#.......##.####..#.##.....#.#..#.####.#.#####..#...#####.#####....#.#.#.##.##....##.#..########.##.#.#.######.###..###.######.#.#.#.####.##.##.#..###.#.#.#....#.###.###...........#.#.##.#######.#.###.#...##.##..##.......#.#..##........#.....#.##.#.###.......##.#.###.#..#.##.#####.##.######.#.##.####...##.......##.###.#.##..####.##..#..##..##.#####.#.#.##.##......#.###..###.##.......###.#########...#..#####..##.#.###.....#..###.#..#.##...##.##.#.#.##############..###.#.##.#.#.#..#.###.#...######.......#.####.#.##.....#.#.########.#.###########.#####.##.##......#.#.##
#.###....#.#.#.#.#.##.#..........#.#...#####.###....#.#.#..............####.#.#.....#.#.###..##.#####.####.#.#####.#.##.#.#.#.#####.#########.#.###...####.##..........############..#..#.##........###.#.##.....####.#.#.##.#...#..###.##.#.##........#######.#.##......##.#.#...#.#.###.#####...##..##..###.#################.#.##.###.#.#...#.....#.##.######....##......##.##.##.....#.###..........##.....#.#...................#.##.#.#.#.####.###########.#######.....#..###.##..........#....###.#..##.##.#.####..#.##.####.#.##.#..###...###.#.#..#..##.##.###....##..##.....##.###.....#.#.##.####.##....#######.......########.###.#...#######..#####.#.....#.###..##.##.##.###........######.##.#.##.######.#.##.#####.###.##..#####...#......#...........#.######..#.#.....####...#.#..#.##..##.#######...#..##.##......##.##...#...........#.....#######.##.#......#
#.##..####.###############.#####.....#...#######.#.##.####.##.##.###.#...#......##############......####.#####.#.#.#.##.#.#.#.#.#...#.......###.#...#.#.##.#..######.###.#.##.#.#.##...##.###.#.#.#..#.....########...#.#.#..#.#.######.#..#####.##.##.##.####.#....##.#........############....#.###.###.##......##.##.##.#.##.#.#........#################.....##..##.#.#..#.##.#..#.#.####..#.###.##.######...#####.###.####.#.##............#..#..##.#....##.###...###.#.#.##....##.#.##.##.##.#.......#####..#.#....#####.#....#.##.##.#####.#...#.##.#.###.####...#.####..##.####....##.####.###..########.#..#.#.###.##.#####.#..#.##....#.......##.....#.#.##.####.##.#...####...##.###.#...................##....#######...##..##..##.###...##.#...########.##.##.##..##...##.##.####.#.##...##.###.......##.##.##..###.#.#.....##.###.#.#.##.###.#.#...#.#.#..#.#.#.####
#.###.#....#..#.#.##.#...###.....#.#.#.###.###...#.#..#....##..###...###...##.#.#....#.##.#....####.#....##..........##.........#########.#.....###.#...#######.##.....#.#.#..#.#..########.###.####.#####..#.#.#...###.###.####.##...#######.#..#..#............#.##..##.#.##.###.#.........##.#.#...#......#.####.....##.#.##.#.##########.##.#####.##.##..#.#.###.#..####........####.##...##.##...###......#........##.#....#.#############.##.#.###.##.#....#...#.....#.#######....####.#..##.#.###.#.....#######.#.#.....##.#####..#..#.....##.##.#..#.#......##.##....##.##....##.###.....######.......#####.......#.#..###.#.#.####..#.###.##.######.#####..#...#..#####.###.###.##...#########.##.###.#.##....#.##.#.#.#.#..##..##....###.#..#.#.#...####.######...##....#.##.....##..####.####...##.##############...###.#.###.##...#.###..#.#########.#...#.##.#.#....#
###.#########.#.#.##.###.####.#.####.###...#.###.###########..###########.##########...#..######.#..####..##########.##########.#.##......###.###...###.#.#.#...#..#.#...#.##.#.#.###.##.#...#####.......##.......####...######...#.#..##.##....###.#.##.#.##.#.##.######.#..###.#.####.##.###..#.###.###.##.#..##..###..............##.#.##.............#########.####...######.#.##....##.#..#####.######.######.##.#.##.#.##.###.........##.......#.#.######.####.##.#.######.....####....##..###.######.#.##.......###.#.#.#..##.##########.#.##.#..##.###.##.###..###.#.####..##..######.##..##....#.#.###...##.#.#.##.##..........####.###.########.##....###.#####.##.#.#.......###..#...##...##..#...###.####.##..........##..#.####.###.#.##########.......######.####.#.#.##.##########.#..#.#.###....#.##.#.###.###...#.#...#.#..#.#...######.##.#.####.######.####.#.#
##...##..............#.#.#.######......###....####..#...########...#....#.##.......###.##.##.##..##.##.##.............##.#.#......###.#.#.#######.#.###.#...#.#...######.#.##............###..##.#######....###.#.##...#.#.#.#..######.......##.#...#.####.##.#.#..#.##.#.#####..#.#....#..#...##.#...#...##.#.####.#...#.########.#.......#######.###.#.#.##.##....#.#.###......###..########....#####.#.###......##.#..########...#######.##.##.##.......#.####....####..##..###.###....##.#########.###..#..##.#######..#.####.....###.......#..####.##..#####.####...#.###....#######......#.####.#.#.#..##.###..#.#.##..##.#.##.##....#.........##....#.##...#..#.....#...#####.#...####.#....#..##.##.###....##.####.#.#.#.####.#.#.#........##.##.####.###.#..##.#....##############...##..#.##.#..###.#....#.#.......##.##.#.#####.##.###..##.##........#...#.#.##########
#..#..#####.#.#.#.##.....#.#.#.#####.########.#.###.###....###...#...##....#######..##.....#.#..##........#####.#####......####.#...#######.#...#####.....#.#.##.##...#.......#.##.#.#.#..###.#..........############.##.#.....###.#.##.###.#######.#..##..#..#.#.##..#...##..##.#.##########.##################.#..##.####.#.#..#####.###.#.#########.#...#..#####.....##..#.##.##..#####.#.#.####.##....##..##.#.##.#####.#.....######.......##.###.####...#.#..##.#....####..#######.#.##.#.....##..#.#.###.#####......##.##.#.#.###...###.###.##....##.##.#.....###.##.######.##.###..#.#.##..##..######..#.###########.##..####..##.##############.##.#..######...##.##.#############.######.######..#.#.##.###...#####.###...##.......#.#.##........#.###########.#.####.....#......###.##.#####.##...#.#.#.##...#.##.###.##.#...##..##.##..##...#.########.###....##.#.#.##
##.##.##.###############........#..###..............#.##.#.....##########.######.##.##.#.#...##..###########....####..####.#..####.##.........#..#.###.#.##.###..####...####.##.##.#.#.##.#.#.#.######.###.....#.##.#.######.#.#........######..###.####..##.########...#.###......######.#.#..##.......##.##.##.#######.#....##.###.###.............#####...##.#...###..####.#..###.#.........#.......##....##..#.#...#.#..#########....#.###.##.#.####...#.....########...###.#.##.######..###.#.###.....#.#.#.....####.##.#..#.#######.##..#########.#####.#.#.#...#..#.#......#....##.#.#########......##......####.#.#.###..##..##.......##.##.#.#..#.##......###.##.............#..#......###.##...##...##...#.#.....#...#.#..##.###.####.#..######....##..#.##.#.#.##.#.#.###.######...##.#...#.####.#.######.######...####.##.###.#######....#.......##.#.#.#.#####......#
#####......##........##########.#.###########.#.#.#......###.#.##.#.#..##.#............####.####.#.#..###....####....####..#.##....#######.#####.#.#.###.#...###.#....###.##.#..######.#........#.......######..........##...###.#.####.#......##.#####..#####.#.#.######...##.#.#............######.##...........###.##.####.#..#.....##.##.#.#####..##.###......#.#...####..####.#.#############.#####..##..##.#.##.##.##..###......####..##..#.#......####.#.###.#.....###......#.#.#.##.###..#.....#.#...#.#####.#.....####....##.....##.##..........##.....#.#.#.##.#.####.#...#######.........##.#######.#.###.#....#..##.####..##.######...#.#.#.##..##.#.#...#.##.#.######.##...##.#######...#.#..#.#..#.#####.#.###.#.###.##....#....####...##.####..##...........#.#.####....###..#......###...######..##...#.#.######.######.######....#.##.#.#.#...........###..######
#.....####.####.#.##...............#.##.#.....#.#.##.#.#..##.###....##....#.#.###.#.####.......#.#.##.....##.#....##.##.##....####..##.#####.##..#.#..######.#.##########.#######.#.#####.##.######.##.##......#.##.#.########...#.#....#.##.#..........###...............######.####.#.#.#.#..##....####.##.#.##.............##.###.############..#.##...#..####.###.####.#######.#####.##.#.##.#.#.....##..##..#.##.##.###.....#.##..###.####.######.#.##...#.##....##.###..#.##..........##..###.#.##.##.#####....##.#.###...#######.#.##.##.##.#.#.#..##.##.###.#.######....#.#.....##..######.###....##...#.......#.##.##....##.##.........#........###############..#......#.####............#####.####.##.#####.#..##.#...#..###.##.##...##.#.....#.####..###########....#.#.####.#####.#####.###...#.###..#.###.#.####.#.###.#.....##..#.##.##.#####.#.#.#.#.#.....##....#
########........#..##.#.####.#.#.#........#.#.#.#.####.##.#..######....##########.###....##.##........##.######.#.#..#..####.##..#.###.#.#...##.##.##..##.......##.#.##..............##...####.#.#..#...#####.##.#..#..#.#.....#.####.#.#######.#.#.#.#.##..##.#.##.#.#.#.#.#.#..#..#.###.###.####.#.#....##############.####.##......##.#.####.##....###...##......###..#.####.....##...##........#####..##.##.########.#.#.#.#.#.#..##.#...##.#......#.#..#.#####.###..#...#######.#.##.###..###..#.##.##..##.##.#.##.###...#..##.#.#.#.####..#..###.#.##..#....#.#.....##.##.###.#######....##....#.#.###.#.#.###.#.######..#.#######.##.##.###.#.#.#####.###.......##.##########..#.##.#########.##.....####...#.####..#.#.#.#####...#.##.####.##.##....#.##........##...##.......##..##.#..####.#.#.###.#.##.#....................#######.#..#.##.....###.#.######.#.##..####
#....#.###.##.#.#.###.#.##...###.######.#.#########.....######....########.#.#....#...#.##..###.###.#.##..#.#.#####.###.#.#..###.#.##....###.#...#.###.###.#.##.......###.##.######.##..###.##.....##.###.###.##.##.#.##.#####.#.##...###.......#.#.###.##.##..#.##.###.###.#...###.....#.#...##.########.#........#.########....#.##..#.#.#.#.....##.....#.##.#.#######.#.#....#.#....#....#.####.#..###.##..######.........#.#.#.##.#....###############.######.###...####.#.......#######..###..##.#..#..##.....#..#####.###.##......###.######..##.#.###.##.###.##.#.##..#..##......##..#.####.#####...#.#.#.###.#.##...##.###........####...###.#.....#.#.##.#.#.##...#.####.#..#######.....#....##.##....#.#....#.####.###.....#.#.#######....#..##.###....#.##.#....##############.##...##.........##.#.#....####.#.####.######....#.##.#.##.##.#########.....##.#....#####
####.....#.##.#.#.#...#####.##...#......#.##.#.#.###.#.##......##..............##.#########.#...##..###..##...#######.#.#.##.#.#.#.####.##.#...#.#.#.#.....#.#..#.#.#..##.####.......######....##.######......##.#..#.#........#####.################....#..##.#.#...##.#.....#.#.##.#.####.#..#.#..#.##..#.#.####............##.#.###.....#.############.###..######......####.######.##.###.##...##.....#..##..#.###.##.##.#.#########.#.#.......#....##.#.#....##########.###.#.#.#.......###..###.##.##..##.#.#######...#....##.#.#.#..........##..###...##...#..#.#..##.##..##.#.#..##.###.#....###.#####.#...###....#.##.#######.##....#.#...#.##.##........#.#..##.##.#......##.##.#..###...#.##...#.####.#.####.#########.#.####.....##..#.##.##....#.####.#..#.##.......###..#.#..##.###.####.##.##.#...#.#####.#....####...#.##....#.#.##.#...###...##.########.##.....#
#.####.#....###.#####.##.#...###.##.#.#.#.#..#....#########.##########################...######..##...##..###.#.#.##.............#..#.#.#....###.#.....##.#####.#.####.....#########.#.#..####.##.##.#...###.######.###.#.##.#.#..#..#.....#.....#.####.##.##..#.###..###.#.#.#.#....#.#....####.##......######....##.#####.#.##.#.#.###.#....##.###.#......####....######........#########...#..#.#..#.#.##..##.....####.########...#.#.#.#####.#...##....#...##.#.##.#.#...#...###.####.####...##...#..#..#####.##......#.##.#.##.#.#.#.#.#.##.#..##..###.##..#.#.##.#########.##.####.#......##.###.....###.#.#...#.#######.#.#.###..#.##.#.#.#.#..#.##.##.###.#######......##.#.........########..###.########.........###.####..###.#.####.##..#.#..#.##.#.#####.#.##.#######.#.##.#.##....#....#.##.##.#.######..#########.#.########.##.#.#..###.....#.##.......##.###.####
#.#.####.##.#######...##.#.####..######.####...##.#.#.#..#######....#.......####.##..###.#.#.##.####.#######....#....#.#.#.##.##.##.#.#...#.##.....#.#.#..#.##..####.###.#.#..#.###....#.##.##.##.##...#.#.....##....####.#..####.####.#.#...#.#.........#.#..##.#...####.#.#.###.##.#.##.###.....##.#.###.##...##.#################.....##.#........########..####.#.###..###.#.##..###.######.##.##.#.############.##....##.##.###.....#.#.....###.##.#####.##....#......#####.############..#.##.#.##.##.#.#....##.#.#.#.#..#.##.#.#.#.######.#.###.##...#..##.#.##.####......##....#.#.#.#.##...####.###.###.#.###...#.##........##.#.##.#.#.###.##.##..#..#####.##.####.#######.##.#.#....######...####.....####.#.##........#.##...#....###..#####.#.......##.###.##..#.##.#.#.##......#.##.#########..#.##.#.##....####.#......##.##########..##.#####.##.#.#####...##....#
#.....#######.###.###.#..###.#..##......##.######.#.#...##.#.....##.#######.......##.##.........##...#.#...####.###.####.#.#..#.........########.#.#.####.#....####...#..#.##.......##.........##.####.#.#.#.#.###.###.########........#.###.#.###.#.##.##.##.######.##...###.#...#..#.#..##..#.#....#.#......#.#...##.....#.#.#...##.##..####.#.###.##.......##.##.#.#.#.##########............###########....##.......#.##.........###.###.#.#.##..##.#......####...#.#.####.###.###...#....##.#..###..##.#...#.##..########.#..###.#.#.#......#.#.#.##.#.##.#..#.#.....######.###.#.#.#.#.###..#..##........#.#...#.###..##.##.####..#..#.###...#.#..##.###...........###.....#.######.#.####....#.#......#####....#.##.#.######.##.#.#.##...##..###..###.###..#..##..##.#........##.##.#.#........##..##...........####......###.##...#######.#.###.....####.#.....###..#.##.#
###.#..##..##.#.#.##..##.###.########.#.#...####..#.###.##.####.##...####...####.##.....##.##.#.####.#...#..........#....########.#.#.#.##.#.#...###....########....#...######.#.#######.###.#.##.#....#.#.###.#...#....##.##...#.#.##.#..######...#.#...######.#.####..############.####..#######.########.#.#.#.########.....##.##..#..##....#.#...########.............#..#####...#.##.####.##.#..#.##.####.#..##.##.#..############...##.###.#..########.#######.######....###.#.###...##.##.##...##.##.###.#..#####.#.....#.####.#.#.#.##.#.#...#..###.#..#.#####.####.......##.###.#.#..######.#..#.#.######.#.#.....##...#...###.#.##.##..#.#.##..#.#...#.##.##.#...##.##....#...#.#......#######.#.#..##.###.##.####......########..##.####...##..##.####.#.####..#...#.#.##.....###.#####.#####.###.############.#.###.####....###.##.#..###...#.####.#.#.#####...##..#.#
#.####..##.##.....###.##.#.#.###.##.#######....##.....#.........####....#.#.#.......###.#..##.#..###.##.##########.###.#.##.#.....#.######.....###########.#####.######....#.###.#.......#...#..###.##.###.#...##.###.#.....#.#############.#.#..#.#.##.##..###........####.##...#...##...###..#...##.#.###.########.......#.#....######.#..#.##.#.#..###.#.##.##.##.#.#.##.##.#.###.#.##########.##.#.#...##....#####..#.##............#..###...#.##.#.......##.....#.#.###.#...........####.#####.#########...#.###......###.#....###.########.##.##.##...##.#.##......######.#.##.###.#.##......####.#.#....##..#.##########.#.#..##.#..#.#..########.####.####..##.#.###..##.####.######.#.#......##.#.#.##....###.....##.#.#..#.######..#..#.##.####.##....#......##.##.##.#..###.#...#.#######.#.#.#.#..#.##.#.##.#.....#....##.#......#.##.##..######...###.....######.##.#
#.##...##..#..#.#..##.#..............#.##...##....#.#...#####.#.#....##.########.#.##...##.##.##...#.####..........##..###....#####.###....###.#.........#.....###.#.##.#.##.#...###.###.#.###.######..##..##.##..#.#.##.##.#######...#.#.......##.#..#####.#.######.###....####...#..##.##.##.##.##.........#.#.#.##.###.##.##.#...#################.....#..#############..#........#..##...##.#......###....####.....#######.#####.##.#.##...#.#.#..#####.#..#####.#.......##.##.##.####......##..##.....###.####.##.#.#.##..#.#########.#......#.##.####.#..#..#.##.#...########....#.#..#.#.#.##....#.##.#.#####...##.#.########.##.#.#####.#.#.#.##..##.....#.##..#...##.##........##.###.#.#######.###....##...##.#######.##.....#.###.#.##.....##...##.###########.##############.#####.........#.#.#.##...........#.####.#..###.###.##.#..###........#####.#.######.######
#.####.###.#######.#####.##.#.##.#.#....#######.######.###.############.##.##.########.##...#####.####.###.#.##.#########..#.#####....####.#...##.##.###...#.#..........#.#....#.##..#...####..#......###.#######.#.######...##.#.###.....##.#.###.####.....#.##.#######.##...#..#.#######........###.#.##.###........##..#####.##.##.#.#.##.#.##.#.##.##.##.##.##.####.###.########.#.##..#....####.#.....##.###..#.#.#.#.#.###.....####.###.##.#.##.......#.###....#.#.#.#.##############.##.####.#..#.#......###.########..##...##..##....##.#.#..#....####.##.#.##.#####...#.####.#########.#.####.##..#.#.....#.#.........#.#.######...##........##.####.####.###.#.#..#..##.###.###....#.#.......######.#..#.#.##......#####.##.##.#.########.#.###.##...#.#.#####.....#.#.##..###..#.##.###.#####........#.#.###.###....####..##..#####...##.#.#.#.#####..#.#...........###
#.#.#..#....####.#.#.#...##.###########.#..##.....#######.....##.#.##.#.#.......####.####.#.##....##....##########........#####....#.###...###..######...#.#.###.#.###.##.##.#.#.#..###.##....##.##.#.#.###..##.###.###.####........##########.#.....###.##....#.#.#...######...##.##......######...###.#################.#.....#.........#.....#.#.####.....##.#..#.#...#..##.......#.#..##.##......#.##.##..#...##.#.#......###.#.##......######.#######.##.#...##.#########..............##....####.####.#####....##.#.###..##.####....##.##.#.##.##.#..######.####...##..#....##.........####.#.#...#.##.###.###.#####.#.#.......#.##.###..##.#.####..#.#....#...#.#.#.##.##....######.#####.#########..#.######.##.#.##...##...#.......#.#.#...#..##..#.#.........#.#.###.#....##.####.....##....####.#.#.####...####..##...###..####.#.#.#....#.###.......##.#.#.#.#######.#
#...##.#.####.#......############.#.#...##.#####.##.#.#.####.##....#......#.#.#..#........#..##.#..###.##.#.#.###..#.######.#.##.###.##..###...##......###########.#....######.######.#..##.####.#..#.#..###.....##..........##.###......#.....###.###....####.....###.##.....#.##..##.###..##....#.##..#.....#.#.........########.######.#####...#.#.#..###.##.##.#.###.##.####.#.#.#.###############.#...##.##.############..##########.#####.....###.....###########.#......#.##.#.#.###.##.#.###.####.###.....##..........###.##.###.###.#..#..#.##.##..##.....##..#..##.####....#.##.##.#.####.#.#.#.#...#####......###.###.#.#....#..##.###.#..#.#.##...####.#######..#..##.#####.##.##.##...........##...####.##.######.##.####.##.###.#.###.##..#.##.##.##.#.#.#######.#.#####..##..#.#..#.####....#####.#######.#####.###.####........#.#.##...####.#.#####.#.#....##.#.#
#.#....#.#.##.######...######.##..#...#....#.######..........#..##.######.#.#.##...#.#.#.##.###.####.#............####.............#.#..###..#..######..##..#......#.######....##.......##..#....##.#.##..#..#.#....#######.#########.##...#.###....########...#.#........#.###.##.#####...####.#.#.#########.....#.#####.#.....######.....######.......####..........##.#.......#.#####.#.##.##.......##.########.######.....##.####.#.####..#######.###.#.#...#..###....######.#..#.#####.##.#.#.#.#........###########.##.##...##.....#...##.##.#..#.##.##..#.#..##.#.######...##.######.....##..###.###.#.....###.##..##..##.######.#.##....#.##...######....#....##...#####....#.#.##....##.##.###########..#.####.....####.....#.##.........#..#.########.#########.##.#.....#.##.##.#########..###.###.#...####.......#...#..#####.###########.#...##.#.....###.#.#####...#
######.........###.##.##.##...###.###.##.#.....##.##########.##.#.....##..#.#..##.##.######.#.#.##...#######.##.#.#.############.###.##.##..###..######..##.########.##.....###########..##.##.#.##.#..##...#######.#........##.......###.##.#...##..#.##.#..#########.#.##.#...####.###.####.#.#.###....##########.#.....#.##.##....###.#........#.#.#.#..###.#.##.#......#.#########.....##.####.#.###..#.....##.#.#.#..###.....#.#.#.##...#####.....########.##.....####......##.#.##....##.#.#.#.#####.#.##...........#...#.#..###.####.##..##.#.#########.###.##..#.##.....#.##......##.##....####...####.##..####################.#..##.###.##.#......##.#.#########.....#.##........#######......###.####...##.#.#.#....##.##.#..##.#.###.#####..##.#......###.#.#.##...#####.#.......#.##.##.##.#.......#......########.##.##.#..........##.#####..###.##############..###
##.#.#.#.#.#####.#.##..#..###.#.#..###########.##.#.#.###.##.########.#######.##..#..#......#.####.#....##.#..#####................#.#..#..##...##......##..#.###....###.####...........#####..#.#..#.##..###.##....#.#.##.#########.##...#..#.#.##.##......###.#......#.#..###.#........##.#.##########.#..........#.###.###...####.########.#.#.########.#...#.#..##.#.###.#....##.##.##.#....##.#.#...####.#..#.#.#.#######.##.#.#.#..###..#..#####.#.#.##...####.#.#....#.#.#####.#..##.##.#.#.....#...###########.#.###.##.##..##.##.#.###..#.#...##.......##..##.#######.##.#..#.##.####..##....#####....###......##.##......#..#.#.##....#######.########.......##..#.######.#.####.......###.####.....####....#.#.#.###########.##.#...#...###.##....#.##..#.........#.#####...#.#.#.......#.##...###.############.#######.##.#.########....##.##########..#.##.....##.#.#
#....#####..#.#....###.#.##.#...#.##.##.#.....................##...#...#.#.##.##.########.###.##.####.#......##.....#.##.#####.#.######.##..###.#..#.##..##.....######.#.#....##.#.#.##.#.#...##.##.#..##.##.....#########.##........##.#.#.####..#..#####.##.....#.##.#.##..#######.######.#.##.##........#.#.#.##.####..#...#...............######.#.###.#.######..######..#.##.......#....##.#..#######....##........##...###........##.##.#.##.##......####.#....####.#.######.#..##.#..#..#.#####...###...........#.##...#..##.#..##....##.##.#.#.##.##.#.##..###.##.###...#.#.##.#.....#.##..###########...#.##.#..#.#..##.#...####..##.#.......#....##....##.##..##.#......#.#....#.#######.###.##.###....##.##########.#.....#####.#.#.#.#...#.##.##.#..##...##.#.#.##.......#.###.####.##....#.########.#####...#.#.#.##...#.#.#.#######.#......#.#.##...##.##.#####....#
####....##.##.#.##.#.#.#.#....#...#..#....#.##.#######.#.##.#....#...#...#.#####.#.#####..#......##...##.#.##########..###.....#.##.##..#..##...##.###..#######..........##.#..##########.###.##.#..#.##########..##.#......#####.##..###.#.##...##.##.....#..#.#.###..#.##.##....#######...#.#.....##.###########...#.######.####.#.#.#.##.#.#..#......#....#......#####.########.###.####.###...####.##..##.###.#.###.#..#...###.##.#.........##.#..####.#.##.##.#.##.###.##.......#####.##.##.#.....#..###.##.#.##.##.#..#.#.###.##.#..#.##...#.###..#.#..#..##...###......#.#########.#.######...........##.####..##.....#####.#...##.###.##.#.##.###.##..##..#..########.#.###.##.###.............#...########...##...#.....#.#...#.#.#.#.#.#.###.##.#..#.##..###..###..#.#.##.######.####..#.##...###..#.......###..........#............#######.#........###...........####
#....##....##.####...#...#.#.####.##.####.#.#..#####...#..######.#.#####.#.#.#.#.#...#.#####.###....########...##.##..#####.##.#.....#.###.#..#.#..########.....##.###.###..#.##....#.##.......####.#.##.........##....###.###....#..##...#..##.#######.#.###.#.#.####.#.#...####...#...###.....#.######......#.#..#.#........#....#############.######...#.##.#.##.#..#....###.#..#####....#...#.#.....####..#.#####.....###.##...##.#.#.#.###....#.###...........#.#...####..####.##.....##..#####.#.##.#.#########.#####.#.#.#...#..#.##.###.##.##..##.#####..#.#.######.#.#...###.##..#..##....#####.######...##.####.#.##.###.#.#######...#.#.#..#######.##.###.#..#.#.###...#.##...####.##.##.##...###.##...#.#....###.#####.#.#...#######.#..##########.###...##...##.###..#......#....##.###..#...##...#####.....############.#.#.#.##....####.##.##.#.##.#.##.##.#.#....#
####.#..##..#..##..#...#######.##.........####.#.....#.######....#.#..#........#####.....#.######.###...#..###....######.#..#..##.#.####...#########.##..#..#.#.#..#....###.#.#####......###.#.#....#..###.###.#.##.#.##...#...#.###.#..#.#.##..##......###.###.#.#....####.##....#...#..####.#.###...###.#.#...################.#.##...#.##.#.#.##########.#..#.#..##...##..#....##..########.##.###.#......##.#.....######.....####.###.########.....#####.##.##.#.#.#......##....##.#.#..#.####...###..#.....#.#.#..##.#.#########.####....#.##.##.##..#.....##.#.#......#.###...#..#.##.####.#....##...##...###.....#.#......#.#.......#######.##....##.###....####......##.#####..############..#.#........######.#........######.####.#.##.##......##....#.#.#..###.##...##.#.#.##.##.#.#....##.#.#....#...#.###.#...#.#.....##.#############..#.#######.##....########.#.##
#....######.#.########.#.##.#..#..#.#.#.##########.#.#.##.#.####.#.##...#.#.##..##.#####.#.##..######.#...##.####.#.##.#...###.#..###.#..#.#.....###..##...#######.###.##.###.#.....##.#.##..#.#.#.##.##########..#####..#.##.##..##.##.#.#.#..######.#.##...##.#.####..##...#######.###......###...#.....#.#.#..#..#..##.####.###.##.#......#.........#....#.##.#.##..#..##...##.###.....##...##.#...#.######....#.#.#....##.#.##....#...##.......#.#.##.....#.#..#.#.##.#.#.##.#.#######.#####...############.#.#...##......##.##....##..#.####..##.##.###.#.##..#####.#.####...#...##.#..##...#.#.##..#####.##...##.##.##.#######.#.#####.#..##..##.#......##.#..##..######....####..##......##..##.#.#.#.#.###.#.#.#.#.#.#.##...##.........#.#..#########.##...##########.##..######.######.#.##..#.####.#.#.....#.###.....#.#.##.##.##...#####.####.##.####..##.....#.##.####
######...##.#...###.#....##.##.####.#######.#......#.###.........#.####.#######.....#....#.###.#.#..#####.##....#.#.##...#.#...#####..##########...##..#####........##.##.....#.##.##..#.###.#.#.#..###..##......##.....#########.#..####.#.##..#.########.#....#.#####..#####.#.....#...##.#...##.##.###.######.##.##..........############...#.#.###.#.##.#..#########.#####.##..###.##....#.####.#.#####..###.#########....#.##.##.##.####.#.#.##.#.####.###.##.#.#..###.#########.......##.##.##...#.#.##.#...#.#.##.#.#.##...###.######....##.##..#..########.#####.#..##..#.#.#..###.#####.#.#.#####...######..#..#..#.......#.#.........#######.#.###.###.##..##.########.##..##..#.####..###########.#.......###.#.#.#.##.###..############...###..##.##.#........#.#####..#.#.#....##..####.##...######.#.#####...############..###.##.....####.....##..###.###....#....#
#...#..#.#....###.#.###.##.......####.........#.##.#.##..##.###.####....##.#....#.#...##....##.#.##.##.##.#####........#.#.#.#.##..##.#.#.#.#.####....#####..#.###.###.##.#.#.########.###...#.#.##.####.#..#.##.####.#.##........#.##....#.#####..........##.#.#.#...####.......##.###.##..#.#..######.....##.#.#.....###.####.#...##.......#.#####.#...##.#.###.##.....#.....#..##.#######.#.#.##.#.###...########.##....##.#######.##...######.####.#......#.#..######...#..##.##..#.##.##.....#..#..........#...#..###.#.####.....#.####.##..###..##.##........#.#...#.####.#.###.##...#.##..#.#..#..##.####....######.#.#.#.#####.##.##.###.##..#.#..##...#.###.........###....####......##..##.###...###.###############....#.##.......##.#.###...##....##.#.##.#.###....###.....###.####....#..#.#..##.#..#######.#..###.#.#.###.##......###..#.#.#####..##.###.###.##.#.##
###...##...##.##..#.###..#######..#######.#.##########..##..##...###.#.##....#.##.#######.#..#.#.##.............##.##.##.#########.#...............##.##....####...##...#.#######.#......##.#########......#####..#####..######.#.#.#..##.#.....##.#####.########.###..##..#####..###...###.#.######.#..##.##......###.#####......#.######.#.####.#....###..#.#......#.#.#.#.#.####..........#.#..#####.###.##.#..#.....##.#..###.##...##.##.........######.######.##.########.......####..#..#.#.########.####.##.##.##...###.##.#.###.......#.#####..#####.#.#.###.##.##.##...#..######.##..##.####...###....####......###.#.###.########.......#.##.##..##.####...##.######.####..#.##.##.###.##....##.###......#....#.#.##.####.###.#.##..#.#.#######..##.#..###..#.....####.#.#.#######.##.##.#.#####....##..#..#.####.....#.#.#......##.######......##.##..........#..###..#
#.#####..####.###.#.#.#.##...####.#.#.....######.##.###..#.####.##.######.#.#######.##....##.....#..##.##.####.#####..#..##......#...#.##.###.#.#.##.....####.###.##..#.#.#.........##.#.##....##.....#.#####....##..#########..#.#.##.#..##########.....#........####..####.##..###..#.#...#.#........#########.#...###.....#.#.##.#.#....###......##.##..##.####.#.#####.#.#######.###.###.#.##..#.#.........##.####.##..####......####..##.#.#.##.##........#.###..#..#.....#.###.#....###.#.#.#........#....##.##..###.##...#.###...#.#.###.##....###.####.#.#......##.#..#.##...##.#####....##...#.....#.##....####..##.#.....#.##.#######.#...##..##..#....##.##..........####....####.##.....#.##....##.#####.####....#........#######...........##.#..##.########.#......#.#.##..###.#######.....##.#######.##....#.#.#.......##########..###.#.#.....#.#.#.#.#.###...#.##
#.######.##..............##.##..#...###.####..#.........##.##.###.......########.....######..#.#.#######..##...#..#..##.##..#.##.#.#.#..####..#.######.#.##.......##########.#.#.#####.#..##.############.#.####..##.#.#.#.....##.###..##.####..#.###.#.##.######.#..##.#.#...####.######.#.########.###.##.##.###.#######.#######....############.##..##.###.#....#.##....#.#.......#...#...#####...######.##.#.......#..##....#.##.##.#.##..#.#.######.###.###.####.##.##.####.#...##.#...###.#.########.##.#.##.##.###..#..#....####.###...#..##.#.#...#....#.####.#..#.##.###..#.....#.#####.###.###.########.#....#####.#.#.#........#.#######..##.##.###.###..##.#.#.##.#....#.##..#.#..##.#.##....##.##...#....#.#.#####.########.##.#.##.#.#.#.##..##.#........##.#.#.#.#######.##.#.#.#.#########.............######.#.#####............##.#.#.##.##...#####.#.#...#.#.##
#.........###.##.##.##.#.....##...###.#.#..##...#.#.#.#..###......#####.##.#.#.####.##.#..######.##..####..##.###...###########....######....#####.###.#.#..#.#.###.#..#.#.#.#.###.....####.....###..............##........#.#..###########..##...#.###########.####.#....###.#.....##.#######.#########.#..#....###.#..############.##.####.......###.##...#.####.#############.##.###.###.##...###.####.###....#####.#.#####.##.##.##...###.#.#.#......#...##..........#####...######.#.###...####.......##.#..#.##...########.#..###.###.#########.#.#...##.#.#....#.##.#..###.##.#.#...#.#.....###..........####.#..##.#.#.#.#.##.#.#.........#.###.##..####...###.#.###..#.#.######...#####.###..#.###.##.#...##........#####...#......####.#.######.##..#.#.####.#..#.#.#...#.##...#.#.#...#.##########.##.#.##.##.#..#.#.....##.#.#.#.###....###.##.####..#.##.#.##.####..#
#.#####.#...###..#..##.#.#.#....#.#.#.####..##.########.##...##.#.#.............#.#.##.#.##......###.#.##############.##.##.....#.##......#.##.........#.########...##.#...###.#...###...###.####...#.#.#.#.#.##.#..###.###########.#.##.###.####....#.#.###....##...####.#.....###....#.#.#...........#.##.###.###..##.#.##.#.#.#.........###.###.#...##.###.#....##.....#.#....##.##....######.###..........#.###....#..##...##.#...##.##...#.#####.####.#########.###.#.#.#####......#.########.##.##.#.##.##.#..##.####......#.##...#...#####.....####.###.###.##.#..######...##.###.#.#...###..###.#.#.###....#.#.##..#.###.#..#.#.#.#.##.#.##...#####....##.##...#...##.###.#...##.#...##....##.#.#.#.##.##.############.#.#.###.#######.###......#..#.##.#....####.#.#.###......#.......#...........##.##.#..#......##.##.###########.####.#...#.####.###....######...###.#
####....#.###...##.##..#####.#.##.#.#.##.##..###.#.#.##..#.############.#.#.#.#...........####.#...#...#.###...#.##...#...##.##.#..##.#.###..#######.###.###.###..#....###...#.##.##...#..##..##..#.######################..#..##............#.#####...#.#.####..###..###.#######.####.....#####.#.###...#....#.#.##.#....#..#.....##.#.##.....##..##.##...##.####.######.....##..###..#.####........#.#.##.#.#.#...#.###..######.##.######.###.##....##...#...##....#.....#.#.###.##.#.###...........#..#.#...#.#.##..##...####.#.#..###.#...#.##.#.##....##...####..#.##..#...#..#...#.#.##.###..##.###.#...##.#.#.#....##.##..##.#.#.#.#########.#....##.#.########.##.#####.....######.#.##.#.##..#...###..#...........#.#.#....#...........##.#######.#######.#...##.###..##.#.##.#.#.##.##.#.###.##.######.##.#.#.#.#####..........##.....#.#.#####.##..##.##...##.#####.#.#
##.###.##.#...#.#...##.##....###......##..#.###..#.#..####.#.....#......#.#######.###.#.#...######.###.....###......#...#######.####..####..###......#...#....#..#####...##.#########.######.###.##.#...##.####.#.###....##...##############.#.#.#.###.#.#.#.##.##.##.......####..##...###.#.#######...#...##.....##.####.##.#####.##.#.##.#######.##..##.#####.####.######.########..#####.########.########.####.##...#.######..##.##.#...##..#####.##.#.#.#....##.###.#.........##.#.##..#.#.#.#.######.##.##.#..##.##.#.##...#.##..##.#.#...##.#####.#..##.##....##..##.##.###.#.#######....##.....##.##.##########.###...##..#.###.#.###.#.#.#.#.##.##.#.....#.#...#.....##.#.###.#####.##.#.###.#.######.##.#.######...#.#.##...######.##..#.......#....##...#.#.##...#.##..#..#.#####...###..##.####..#.#..#.###.#...##..##.###.#..##.####.#....##....##...#.###........#.#
#......####.#.###.#..#..#######..###.####.#.#.##.#.##.##########.#####.#####.#....#...####.##.##.#...#.##.###..##.#.#.#..##.##..##...##....##.###.#.#########.#.##.#####..#..###.#.#######.###.#######.##...#.......####....#..#.#.##.##.##..........#.#........##..#######....##..#####.#.....##.####.#.########.#....#...........##.####.##.......#.##....##...............##.#....##.##...#.......##....#.....#####.#####.....##..#..###..##.#.##...#.#.####.#.#..#...#.#.###.#.#..#.#####.#.######.....########.#..#..#.#..#.#.###.##.###.#..#...##..##.#..##.##..##.#..#..#...#####...##.####.##.###.##.......##.#.####.##..##..##.#.......#.########..##.####.#.#.#.#.###..#........##..###...#.#...#.##.####......#.#......#.#..#########.#.##.####.######.####..##.##..##.#.##.....#.#.##..##....#..##.####..##.#.#####.##..#######.....##########.###########..###.##.#.#
######....######..#.###.#####.##.#....##..#...........#..##.#.#...##.###.#...####.###.#..........###.####...##.##.###.##....#..##..#..######....#####..##.......##....###.##.....#.#.#.#.#..##..#.#....####.##.####.#....#.###.........#....##.##.##.....######..##..#..######.###.##.##.####.##.....######.....#.####.###.#####.######.....###.##.##..##.###..##.##.#.###.#.##...##.#...###.#############...#.####.####.#...#.#..#.###.....#####....#.#.####...#.#.####.#.#.#...#.##.###.....#.##.....#.#.....##.#######.####.#.#.#...##.#...#.##.#####.##.##.#####.##..##...####.....##.##..##....#.#.######.######...#..#.###..#####.#.#.#.#....#.#.####.#.......#.#.###...##.#.##########..##.#####.#....#....#.####.#.##.########.....###.#####.....#...##......##..#..#.##..#..##.########..####.#...##.....#.#######.#.#..##.....##..#.#..#.###.#....#.#.##...##..#####.###
#####..####......####.###.....##.####..##.#######.###.##..#.....#.....##...#......##..###.#.#.##......#.#.#######.#...#####...####.####.#######.######....###.#.#####.....######.....#.#.##....##.####..#......#......##.#.#.##.#.#.##...##.##..###..########.##.###...##......#.#.##.#....##..##.######....###...#.##.#...###...##..#########..#..##.#####.##########..##.#..##.#######................#..###.##........#.###.##.#.#...#.####.###.#.#.#.##...#.#.#..###.#.#.#.#.###..##..#.#.#.######.#.#.#.#.##.......####...###.#.#.##.##.##.##.....###...###.#....##.###.###...#####...#####.##.#....#.###......###...##.#.##...##..#.#.#.#.##.......##.##.############.###..#.......##.####......#.##.########.########......#####.##......#.########.#####.#.#..####.##.#..###.##...##..###..#.#####....#####...........##..##.##..##.####.....#...##........#....##.#.#...#
#.....##.####.##.#.....#..#.#..######.###.####..###....##.###.#.###.#..######.###.##.###..#.####.####......#####..#####.##..#.##...#.......##.#.#.#.####.########.#...###.#.##.#####........##.#..##.##...##.#.##.###.#..###....###..###.#..#..####.##...............#..####.#..........##....##...#.#.######.###........#.#...#####..#.###....##.##..#.###......#.##..#####.#####..#.#######.#.##.#.##...##...##.##.#.#....##.##.#.#.#.#.##.......#.#######.##.######.#.#.#.#.#...##.##.########......#.#.#.##########......#..##.#.#..######...##.####...#.#.....#.#####...#.###...#...#..###...###.##.....#.####.##..#..###..##.##..##.#.#.#.##.##########.............#...##.##.#.##..#....#.#.####.#.....#####........####.###.##..###.#####.#....#.####.##.#.##..###.##.#.##....#.#..##...##......###.#.##.##############..###.#####...#.####.##.#####.##.#.###.#......#.###
#.#.####.#..#.#..#####.#.#####..##...........##..#..##......##########...##...#....###.##.#.#....##...#.##..##.####.###....##..##.#####.##...............##..#.#....#..##............###.#.##....##..##.#.#..#.##.###.#.##...#.##...##...##.#####.#########.#.#.#.#.###......######.##.##..##.#..###.#.#####......##.##.######.#...##.#.#.###.##...##.#.#...##.#....#.###.####.....##.#...#...#..#######.####.##..#..#.###.##..##.#######..###.#.#.###....#...####.......#.#.###.#..#.####.#......#.#.##.###....###.....#.####.##..#.##.#..#...####...####.#####.#.#.#.#####.#.....#...###.##...#..##.##.#.###..#######.##..#..##..##.#####.#.#..#.........###.##.###########.##.##.#####...#.##.#...##.#.#.###...###.##.#.##...#....####.#.....#...####..#...##.#..##...######..####.#.##....#######.#...#.#........####.....####.###.#.#####...#####...#.############.#.####...#
######...##.####.#.......#.#.##....#######.#####.#######.##...###.##...#....#.#.#.##......####.#.##.#.#####.##..##....######..#################.#.#.#.######.....#.##.####.#.#.###.#.#...###..##.###.#..#.#########...#################.######.....#.#.##.#####.#.#.#...#.#####......########.##.#.#.#.#.....###.##..##.##.....#.#............####..###...###..##.#...##...#######......#...#.#.##.......##...##.###.#####..##..######.#..##...###.##..##...#.#..####.##.#####...#.##..##....#.##.###.##..##.####.###.###.#.....##.#.#..##...#.##.#.###.#..#.....#.#.#.......#####.###...#.##.#.####...#.#...##....#..#.###...####..####.##.#.##.#.#.#.#####.####...........#..#.#...#.#..#.#..#.#.#.#..###.##..#####..########...##....#.#######.###.#..##.####.#.##..#...#..##..#########.####....###.#####.###.##......#####....###...#.#.##.##.##..#...........#..#.#..#.#####
#......#.....##..##.#.####...#########.......##..###.#######.##......#.##.#.###########.####...#..#.#.#........######........##..#.#.........##########......#.#.#.#..#.##.###..##.#.##.##...###.#.....####...#.#...#.##....#.#.#....#####.....#.#........#..##########.#.#.....#.#.##....#..........#.########...##.##.#..#.#.#.#.#.#.#.##.#..##..##...#...##.#..#######.##.##.#..###.###.###########.#..###.##...#####...####.###.#....#####.##..#..##..#.#.##......#...##...#.#..######.#.#.##.#....##.##..##...##########.####.#.####..#.#.##.......#.#####.##.#.##.###.###......##.##..###....##.##.#.#####.#...##...##.##..##.......#.#..#.#.#.#.####.....#.##.###############...#.####.##.########......####.#.##..#.##..#..######..##.#.#.#.....###....#.#.##.##.#...####.....###........#####......#...#..#.##.####....####...###.#.##.......##.###.#######.#####....##.#
#########.##..#.#####.#....#....##.....#.#.#....##...#.##.......##.#.#########.#.#.##.#.#..##.##.##.#######.##.##.##..##.###.###.#...#######.#.#..##.#######.###.####.#.#..##..##..#..####.#.#.....#.###....#...##.##.#####.#.....##.......#######.##.###.##.#..##......#.#####.#.#######...#.##.###.#.#........###...#.#.##############.##.###########.##.######.#...............##....####...##.#######..##.##.#.#.....#...##.#.....##..##.#####.#####.##.#..####.#.##.####.##.#.##......###.##.#.#.###.#..#####...#...#.....##..#.#....##.#.#..#.##.####.....##.#.####...##..#.#######..##...#.##...#.#..#.##.##########..##.##..##.##.#.#.######.#....##.##.#.#.............#.##.###....#.##...###..##.#.#....#.#####....##.##...#.##.###.#.#...###.....#.##.#.#...#.#.#..#.##.##...##.#.###.###.#.##.#.#.#.#.#########..####..##.###.......####.##..#............##.##.#....#
#.#####.####.#####.##.##.######....#####.#.##.#....#....####.#.###.#....##.##...........##....#...###.......#...#..#.###...###.#.######.#........##..........##..##...#...##..####.####....###.#.#.#.####.#####.....###.......###.#..#########.....##.#........##########.##.#..#####.#...#.######.....####.##.############.#.#.#.#......##.....##......#...##..#####.###.#.#.#.#.##.#.##....#.......#....###.##.#######.#.####.##.##..##.#......#.##....#..#.##....#.##..#.#.######..###.##...#..#.#...####.##....#...#...##.####.#.###.##..####.#.##..#####.#..###.#....#..##.#......#####..#.####.###.##....#..........##..#.###..#..#.#.#..##.##.#.#.##...######.#.#######.##......#.##.#..#.###.#.###.#.##.#....##...#####.##.#....#.##......###.############.##.####.#.##.....#.#.#..#..##.....####.#.#.###.#.#.##....###.#.##......#.##.#######..###.#.#######.....###.####
#........#.#.#.#....#######.##..####.....########.#####.#....#.#...#.####.....####.##.#..##.####.##...#######.#.#.##.#.###.###............#.#.##....#.#.#.#.##..####.####..##..#.#..#########..#.#.###.#####.####.########.##.##..##.##...##...#.########.##.#...##.#######....##.......#.#.#......###.#.########.###.##.#........#####.####.##..###.##########.......###.###.###.##########.##.####.###.##...##.#..####.#.##...##.#..##########...##.#.###.###..##.#.#..##....##....##....###.####.##.####..#####.##.###.##..##.#.####...##...##.#..#.##.....##.##..##.#.#.######.#####.####.#....#..######.#####.##.##.####....##.##.##.####.....#.###....#..#.#.#########.####.##.#.#..####.#.......#.#.#.##.##.#..#.###...#.##.##.#......#######...##.##.##.#####...########.#.##.####.##..########.#.###.##....#.##.####.#......##.###.##.#...######...#....####.##.####....#
##.#.#.#.....#.####.###.#....##.#....##.###.#.....#.......##.#########..###.#.##.##########....#########.######...####.#####...#.#.###.#.##.#####.#.###.#.#.###.##...#....####.#...##.........##.#.###...#.........##.#....#...#.###..###..#########.#....#..##.##......##..##.####.#.#.#.####.###.#...#.#.#.##.#.#.#.#....#.##.#.......#.#...####...##.....#.##.#.##.#...#...#...#.#........#..##........###.##.##......#.##.#.#####.##.........########.#.#...##..####..###.##..####..#.###..#.##.##.#....##.....####....##..#.#.#....#.##.####.##.#.##.#.#.#...##.#..#.#.##...#..........#.#.#####.....##.##.####...###....#.##...###..##...#.###..##.#.###................#.####.#.#.##########.##...#.###..##.##.......###.#...#.#.#.##.........#........#..##...###.#.#.####.##..##...##..........#..##..#.##....#.###....#.#.##..######...#...#..##.##.##....#.##.##.######
#########.##.#.#.#......####....##.#.#####....#.#.#.#.#.#.#..##.....#..#########............#####.#......#......#..##.....##.#.#.#.#...###...#.#..###########.###..####.#.#.#..###.##########.##.#.#.#.#...#.#.#.#.#..####.##.####...#####.####.##.....##.####...##.#.#....##..#.##.#.###.##...#######................#.##.########.#.#...###..##..########.#.#..###..#.#.#########.########.##.##.#.#.#.####.##.##.#.##.####.###.#....##.#.##.####....##.####.####...###.#...#..##....#####..##....##.##.#.########.##.##.###...#.#.##.#.#..#....####..###.#.#########.#.#.#..#...#.##.#.#.###.....##.#.##........#.########.#..##.#####.#..#.#...####..#...##.##.####.#.###......###.####.#.#.###..##.##...##.##.##.#.###...#.#.#.#.#.#..#.##.######.##.###...##..#............#.###..##.##..#.##.######.#..##.##.##.......#.##.#..##......##.##.#...#####...####.#..####.######
#.#.#..#####.#.#.######.###..##.######.#.############.###.#########.##.#...#.#...#.#.#.###.##..#..######...#.##.##....#.#....##############.##...##....#.#.#..#######...#.#.##.##...######....##.#.#...#####.#.#.#.##......#..#.####.##............#.#.##.##...#..#.####.#####.#....#.##########.##....###.##.#.#.#.#...######......####.##...####.#............##...#########.#.............#..#..#.#.#.##...##.#..#.##.##...#.....#.##..###...#.####..........#.#####.#.#.#.##.##.#.#####..##..#.#####..#.#...........#..#.#.#.###.####.##.####.#.#########..##.#.#...#.####.###.#..#.#.#..###.##.#..#.#..##.#####......##..##.##.....#.##.#.#.#....##.#.###..##....#.#...#.#######.............##.##..###..#.##..###...#.###.#.#.#.#.##.#.##..#####..#...#.#######.#.##########.#...##...##.#.##....########..##..##.#.##.####.##.##.#.####..##.#.###.########.####..##.......#
#.#.#.##.##....#.#..#.......#####...##...##........##.#...##.............###.###########.#####.##.#.#..##.####...##.#######.###.#.#.......#.#..#######.#.#.##.#.......#.###....####.#....##.#.#..#####.########################.#.##..####.#.##.######.##..######...##....##...####.###.###.#.#...####...###..#.###.##.##......##.#.#.....###.##.########.#.#.########.##....#.####.#.#.###.##.###.#.#.#..###.##.######...##.##.#.#.#####.#######.##.######.##.##.........#.#.#...#####.#...######.######.####.##.#.#.#.##...#.#.##..#....##.##......####.....##......#.#.##...#...#.####.#.##...#####.#.##.##....##.#.####..##..##.#####..#####.#.#.###.#...##.##.#.##.##.##...#.#.##.#.##.#.##.##...##.####.#.###..###.########.###.#.#..#####.....#.#########.#.#..#.....##...#######..#.##.#..#.##..#..#####..##..#.#.##..#.#########....#.#####.......#.........##..##.#.####
#........#####.#.##.####.##.##.####..###....##.#.#....#.#.####.#.#######.#.#.#.##.....#....##...#.#.##.##.##...#..####.#.##.#...#...#.#.#...#######.##.#....#.###########...#.##....####....#.##.#.....#....#########.###.#.##.....#########.#..##.....#..##......#.##.#.##..#.##...##..........#......#.##..##.##..#######.#.##..#.####.##.####.##.......#.#.#..##.......##........###..##.#...####.####..##.##.##.....###..######.##....#........#.#.###...#.#..#.##.##.#.#.##.##.......#..##.....##.......###..#.#.#..##.##.#..##.#.#.#######.#.#....###.########.########.##.#.#.##...###..#...#.#####...##.#.##.#....##..##.##.....#.####...###...#.#########.######...###...#.####..#.#.##.##.#.##....#.#...##...#.......##..##.####..#.#..###.#.#.###.......##.#.###....####....##.#.##.##.###..##.##...#.###.####..##....#...##...#.##..#.###.######.###########....###.##
###.##.#.........##.#.....#.#.....#.##.###.##..#.##.#.#.#.#....#####.#..........#####.##.####.#.#.#.#.....#..#.##.#.........###.################.#.......##...............#.#########.###.#.#..####.##.##.#..#.#.#.#..#.#.#..####.###.#..###.##..####.##.####.###.#.#..#..####################.##.#.##.#..##.#...##.#.#.###.#.#..##########.##.#.#####.#.##.####.#..#.##.#####.####.##..######.##......##.##...######.#...####.##....#.##.##.#.#.#.........#.#########.##.######..##.#.##.#.######.##..##.#######.###.#.##...#.#.###.#.###.......#.#.#.##...#...........##....##.#.#..###..###.#.#......##.#.##############..##...###.#.###....#..##.###.##.##.##.......###..##.#.....#######.##..#.#..##.###.#.#..#.####.######..###..#.##...##.#######.#.#.####.##..#...#.##..#.##.######..#.#....##.......#.###.###..#####.##...########.##.##...####..##.#.....#...##.#......#
#...######.#.#.#......#.###.#####..........###.#..#####.#####.####.....#.######..##...........#.......#.#.##.#.##.#.#.##.#.##....................####.#.####.#.#.#.####.#.#####...........#.##.#.....#######.......##.#.#.##.##.#.##..##...#..####....#..#....#...#########..###.###.#.##......#..#.#..#.##..#.####.#.......###.##......#.#.#.......####.#####.....#######......##..##.##..#.######.#.##...##.##......##.##.......####.###########.#.#.##.##.##.####.#.##.##.#.#.#####.#..#.##......#.##..###.....##..#..##.##.#.#.#.###...#.##.##.###..##.###.#.##.##.######.#..###.#######...###.#.#.###.#....##.##.#.#.#####.#...#.#...###.##.##...##........##.######.#######.###.......#######.#.##....###.##.#..#.#...#####...##...##.#..#....##.....#...########.###..##...........#.#####.#####.##########..##.####.####.#......#####.....####.##.##.#.#####.###..#.##.###
#####.##...#######.##.#.##..#.....#.###.##..##.#.###.###########.##.######.#####.#######.###.######.#.###.#..#.##.#.#..###.###.###.##.#.#.###.##.#....#..#.#########....#.##....###.#.#.#.#########.####.#.####.##....#......##.#..##.####...###.#######.##.#.###..##.......##...#........##.#.#######.#..##.###..#####.#.#..########.#.......#.#.#......#.##..###.#.......#.#.##..##..###.#........#.#..###..#..##.#.#..##.####.###.###.##.....########..#..#....#....##.#......#.##..##.#.#..#.##.#.###.#...#.#####.####...#.###...##..#.#.#..#....##.##..####..######.##.####.###.......###...#.#.#...#.##.###.........#...#####.####.##.#.#...##.####.###.#.##.............##...#.#.#.########..#..#.#.###...#.##...#.#....####..###..#.##.##.#..##.####.###.#.#.##.###.##..#.######.#####....###...#.....##.#.##..........#####.##....##.#.#......................##.#.######
#.###....####......#..#####.###########.#..##..#.#.....##.#..#...#..#..........#.#.##....##..#......#.##..##.###..####.#....#####...#.#.#.#...#....##.#.##..#.#.##...##.#.###.#######.#.####.##..####.......#...#####...#.##....##.##.#.###.###...#..###########..#########....#...#.##.######.###.#.###.###.####.......#.####.##.######.##.###.#####.#.##..##.#...##.####.#.#..##..##.#.....####.#.####...##########.##.#########....#..######..##.#.##.########...#.#####.#.####....##..######.##.#.#...#####..#.##.#....#.#...##.##..##.#.##.##.#..#..##..##..##......##.###..#.##.#.#######.##.#.#.#####......#.##.##...####..#...##....#.###.##..##....#.#.###.#.#.##.##.###.#########.#.##.####.##.#...##.##..#.#.#.#.##...########.###...#.##......#....#......#...#..##.#.....##.....##.#...###...#####..#....###.#.#####.######.###..#.###.#.#.#.###.#.######.#..###....#
#.....##.##.#########.....###......#....##..#.######.#....##.###...#########.#........#.####.#####.##..##.##########.#####.##.....#.#.######.####.##..#.###......###.##.###.#####.....#.#.....##.#..#####.#...###.####.##.#####.#.......#.###.###.##..#.#..#.##..##...#...########.#.#..#......#...........###....#.#.#.#.#..............##..#####.##.#####....###.####....###.####.##.#####.#....####...#..##.##..#######.........##.##..#.#.##..#....####.#.##..#.###.....####...##..##.##.#....#.#.#.#.#.....##....##.#.####.##..##.##..###..#..#.###.###..##.#####.#....#.##...#########.##.##.#.#...##..#.#.##.####..#..##..##.#..##.#.###...##.##..#.####...#.#####...###.######.##..........####..#.#.##.#########.###..#.......##...##.#####.#.##.#.####.######.####.##.#.#.######.######.#...#.#...#.##.#.#############..#.##....###.#...#.###.#######...#######..#..#.##
#.#.#.#..#...#.##.....#.####..####...#.####.######...##.#........#.##........#.###.#.##.##...#.....###..#.#......##...#..######.#.#.#.#......#.....##.#.#...####.#...##.##...##.#.##.#####.#.##..#.##.#...#.#.#.....#####.#.#.#.#####.#...###......#.##.##.#....#####.###..####.##.####.##.##.###.###.##.######.#.#.###.###.##.#.######.####.#.....#####.#####.#####.#..##...#.##.#.##.#..#######.##.##.##.##...##...##.########.#.#.....##.#.###...##..#........##.#####.#.#....#.##.##..#....#.##.#.#.#####.#.#####.##.####.#.###..####.#####.#.##...#..##.#####...######......#...#.#...#.#########.#..##.#.#.##...##.##.###.###########..##.#..#..##.#.#####.##.##.####.........#...##.#####.#.#..##.#.###.........##..##.##.#.#.#..#.#.##...##..#..#.#.###...#...#...#######.#.....##..##....##.##.#.#...............###..##....##.#..##.##.##..##.......#####...#.##...#####
#.#.####.#.#......#.#.#.###..###.###.#..#.#.#..#.###.##########.#####.#.#.##.#.#...#.#...##.####.#..##.######.##.####.##.##.#...############.####.##..#.#.#.#......#..######.#....##.##....#..##.#..#.###.########.##.#.###.#.#.##....#.#.....##.#....#.##.##.#..##.....##.........##.#######.#....##.##.###....###.#...##..##.#.####.....#####.##.#.#.#.#.....#.......###.#.###....#####.............#.#..#..#..###....#..##....#.###.#........##.####...#.#.##..#.#.....#.###.####...######.#####.###.##.####...##..#..##......##.##....##..#.####.###.##..##.####..#.#...#.#.##.#.....#........##...#.##..###########.##.#.#...........########.#.###.#..#.#...#.......###########.#..#.#######.#.#####..##.#.##.#.####..#..###.###.##.#.##.#..####.##.....#.###.#######.#...###.##.##..##..##..#..###.###.#.#.#.#.#.###.##....#.#####.###.####..##..#.##.###....#....#.#...#.#
#.####...#.##.##.##.#.###...##.......#.##.####.#.#.###..............#####.#..#####.#.##.##...###.#.###.##.....#..#.#..........#.#######......#.....######.#.##.#.#.#.##...#....#.##...##.#.##..#.##...##..#...........#.##......####.#####.##..####.#.........#.#####.#.#####.###.##...#.#....###.##..#....###.######.#####.##.#.#....#####...###..........#.#.#.###.#.##..#..####.##.#######.#####.#########.##...####.##.#..#.##.#...##.#.###.....#.##.######..######.###.##....####.##.........#.#...#...##..#.###.##.##.##.#.##.##.##..##....##..##..##.##....###.....#.#.#.##.#.#.#.#.#.####.####.####.###.#.####.###......##.###.##..##..##..#.##..##...##.##.#####.....####....##........##...#.##..###.#..#.#....#####..####....#.######.###....##.##...........#.#...#...#.##########.##.##.###....#.#.###.#.#...#....#.##.....###.#.#..#.####.#..#..#..##.############.#
#.#....#.#.#..##..###...#########.##.####........#.#...###.##.########.#..##.#.....#.######.##...####...##.##.##.....#.#.###.##.#.#.#...#.#.##.##.##...##.###..#.########...##.#.#..#..#######....##.############.#.#......#.##......##.....##.#..###.##.##.#.#.##....#........#######...####.##...#.###.#.###.##.....#.....#..######.#..####.##..##.##.#.##.######..#.#..###..##..#...#......#.....###..#....##.#......##.##.######.######.##..#.#....###.#.###....#####....##.###.#...#.###.#.######.##.#....##.#...##.##.#..#.#..##..##.####.####..#.##..##.##.#...##.##.#.#..#.#.#.#.#.########....##................###.##..#...###..###.######.#..##..#.#####....###.##......######.#####.##.#....##...####.#.#.##.....##..####.###.##.#.....###.##...#.#.#.#.#.###...#######.....###.#..#...#.#.##.#.#.#.###########.#.######.######.###.####.#..#.###...##...............#
###.#.##.####.###.#...####.#......##..##..#.####...#########..#..........###.#####.###.#.####..#..#.###.##.#######.#.#.#..####..#...#######.##..###..#......#######.##.####.##.#.#.########.#####.#..##.##....###.######.#.#.###.#.#..####.######.....##.###############.####.##.#.#.###.#.....##.##########...##.#.#.#.#.#.##.#......##..#.#.#..#####..#.##.##.....##.#.###..####.#.#...#######.##...##...#.###.###.##........##....#.......##.#.####.###.#.....####.###.#.#####.....#.#.#...#....##...######..#.#.#.##.#####.#.#.##..##..#......##.##..##.#..#....#.#..##.#.##.#.#.#.#.#...#...###.#####.##.##.###.#####.#####.###..###.....#...####.####.#.....##.#.#....##.###......#.....#..###.#####.####.###.#..##.#.####...##.######.##.##..##..##.##.#######.#...#..#.#####.#.##...#####.##...##.###.#..........#..#..###.###.##.#.##....##...##..##.#..#.#.#.#######.#.#
#...#.#..##.###...#.#.#......##.#..##########.##.#..#.#......####.##.###.#.###.....##....#.#..###.#.....##.#...###.#.#.#.##....####.##..##..###########.#######.............######..##.#.#........##..#.#####.#.####.....###..######.##......##.###.###..#.#.#.#.#.#.#.########............#.#.#..#...#.#.#..#..#.###.#.#.#.########.####...#.#####....##..#.####.####.#...##..#.#.###.#..#####...##.####.####.###...###.####.##..##.##.##.######.######...##.##...##.#...#.#.....#.#.#######.##.########......######..###.....#.#..##..#####.#.######..###.##.#.#.##.##.##.#.##.#.###.#.#.#...#.#.###......#..#.##..........#.#.###.##.##.##...#..##...#.###.#.#..######.#.##.#.####.###.#.###.####.###.####.....#.#.##..#...##.####....#.#..#.#####..##..##......####.####.......#.#....###.#...###.###...###.#.#.##.#...###.#...............#########..##..######.#.......###.#
###.####.#......#.########.#.#..##.####...###..####.#.#####.##....##.#...#..####.#.#####.....###..#.#.#.##.###.....#.#.#.####.##.......##..##......##.####....###.#.#.####.##...###.#......######..##....#.#.....##..###.#...##......##.##.###......######.#................#####.#.######.#.#.#.####.......##.##############.#...#########.........##.#..####..###....#.#.##.##.########.#.....#.#.....#.#.#...#..#.#...#....###.############....#...#..#....###.##....#.###.#.#.###..##......###.##.#.###.##.....##.###..#.#.###.######.#.###......####...#..###.#####.######..#...#.###.#.###....#####.####.#.###.#######...#...#.#...####.#.#.##..#...##..#.##.##.#.#####..#....#..##.#..#####.#..........#.###.#..####.###.....####.....##.....##.###.##.##.#..###....######.####.##.....###..##...#.####..###.##.#.#####.#.#########.#.#....#....##..##....###.##.####..##.#
#.#.##.########.####.#.....#.##.##.#..##.##.#.###.#.....#######.#.##.###.##......###.....#.#...######.#.##.#...###.###.###.##..####.##....########.........##.....###.#.....#.#..############.#.#.######...#####.#..########.##.###.#####..##..####.#........###.###.#.#.##.#.#...#.#......#.#.######.###.###...##...#.#.#.#....#.#.#.##.###.#.#.#.######..##..#######.#.#.##.#......##.####.##.#.#.#######...#...#########.#...###..........####.###...###.#.#.#..##.#.#..##.#.#.#...###.###.##.........####..#.###....##.#######.##...........######.####.#.##...#..........##.##.##..##.#..##.#.##........###.#....#.##.#####.#.#...#.##.#########.##.###.##..###........##...##.#.###.##..##.#.#.####.#.############.##...##.##..#####.#..##.#.##..#...##..#.##.....#########....#..##.#.##...####.#####.##.###.##.#...##...........######.##.#.######.###.#.#.###.....##..#.#
#...##..##.###..##...#########..#..##...............#.#....#....###..#....##.#.#.####.##.#.##.####.#..#.##.#####...#...###....#########.###..######.####.###..#.#.#...##.#.#####...##.#.#.##......#.####.#.........##.....#..#..#....#.###.##.#####.##.####.##...##..#####......########.#.########.#####...##.#####.........#.##......#...#.###.###.##...####.##.####.###..#.##.#.#..#.#....#..#.#.##..#####.#####.#.###.###.########.#.###..#######.#..######...##..####.#..###.###...#.#....##.###.##.#.###.#...##.#.##.#........###.#.#####.###......####.##.#.####.##.##.#..##..##..####..#.#..##.##.#.####.##.#.......####.#.##.##............#.##.##...##..#..#.#.#.##..#.##.#...#..##......#....######.##.##.##..##.#..#.###.....#.##..#.#..#####.##..##..##.##.........##.#########..#.#..##..#.#...##...####.#.###..##.##.#.#...#.##..#......#.#..##.#....####.#..####.#
##.####........#####.....##.#..###..##.##.#.#.#.#.#.#.##.#.####.##..###.####.#.###....##.#.##.##.....##..########.##.#...##.#.##........####.....#..#..#.##..##.#####.##.#..##.#.#.........####.#........##.######..##.##...##.####.##.....#..#......######.#..#.#..##.....#.#.##..#.########.##.#........#..#####.##.######.#########.###....##.##..###.###.#....#....###.##.##.####.#.####.##.#.#####.#.#########...#.#.#...##.....#.######.........####.#....#.###...##.##..####...###.#.#.#####...##...#...#.#.#..#.##.#.#.#.####.########......#.#.##.....###.#....##.#####.###.##.####..##.##.#...#.#.##.###..#.##.##....#.########.####.#.#.####...#.#.###...##########.#.########.##..#.#.##.##.##.#.#..........#####.##.#...#.###.##.########....##.##..##..##.#######..#.....##..####.##..##.....####.#....###...##.##.##########....###.#.###.#.##..#.##..#.####....###
#..##.###.###.##.....#.#..#.##.##..#####..###.#######.##.#......##.##...#....#.#...##.##.###..#..#.#.#######......##.#.#########.########.####.#...###...#..##..#.....##.#.##....###.##.##......####.#.###..##.....##..#..#..######.###.##.#.###.#.#.#......##.#######.###.###.###.....##.#........##.#.#.#####.#..####.#.#####.##.........#.##...##.....#.#.####...##...#.##.#####.#....######.#####.#...#.........#.......#.###.#.##.###....###.##.#####.##.#.#..##.####.#..##....#..##.###.#.....#.#..#...#.###.#.##.##.#####.#.............##.##########.#####.###.###...##....#.##....##.####..#.#.#.#......##.#.##..#.#.##.....#.#...#######..####.####...##.##.######...#........#########.#####.#......#.###.##.....##########..####......##.###.###..##.##.##......#############.####...#.#####.####.####.######.##..##...#.#.#####.#...###...#.####.##.###......##.#.###
##.##..####...####.#.#.##......##.##.....###..#........####.#.#..#..##############.##..#.#...##.##.#.#.......#.##.#..#####.#.#.####.####.......##.##.##.#####..##.##.###.#.###.###...######.#.###....###...####.#########.#.###.#....##.#..###.#.#.#.##.##.###.#...#.###...#....######......##.##.##..#.#.####..##..##..........#..#.###.#.#..########.###........#.#..#.######.##....##........###.#.###.#########.#.####.####...#..###.#.####....###........#.##.##.##.####.########..###...#.##.########.##...#.#.##..###.....##.###.###.##.#.......##....##..###.#...##.####.#######.#.##....##.#.#.#.##.#.#.##.###..##.#..###.###...#...##.###....#.#.#..####.....#.#.###.#.##.##.####.##..#.#...#...#.########..###.#####.#....##.#.#######..#.##....##.##.######.###....#.##.##.......###.####..........##.......#####.#..#.........###.#####.#......###....#.#.##.#..#...#
#..###......#...##.#.#.###.##.##..######...##.###.###.##....#.#####.#####.....#.######.####.##...###.##.#.##.###..#.####.#.#.............###.#..####.#####.#########.#...###.#######.#......######.#...##.###.#####...#...#.##....##..######.....########..##..###....####.#.#.##......##.#.#...#########.#..##.###....#.#.##.#...##.#...###.##.#.#.#..#...##.#.#.#.##.#####....###.#.#..##.##.##......##.#.##.####.####...##...#.##..#..########.##...##.#.###..#.#.....##...#........##...#####..##........##.##.#..##.##..#.#.##.#...#...#..##.###.##..##.###..#....####...##..#.#.#..#.##.##..###.#.#.##.#.#.##.######..############.#.#......#.#.##...##.##...#.#.......###.##..#....#....##...#.##.##........##########.#...####.........#####.##.#.#####.....##...##.#.##.....#.###.#..##.##.####.###.#..#######.....####.#.#.#.#.#...#.....#.#.#.######.#.##.#..###.##.###
##...##.##.###.#####.###.#.#...##.#......######...#....###.##....##.#...###.#....#.......##..###.##..###########.##.##.....###.##.###.#.##...#.##..#.#.#...#.##.#....#####...##...########.##......#.######.........#...#.#.###.#.##.######..#.#.#........#########.#.#....#####..##.#.#..#.#.#.#....#.#..##....#...#.##.#.##.#.#.##.###.#...#........##.#.#..#.######.##..####.....#.##..#.##########....#.........##...#..#########.##.##........#.#.#..#..###.#.##.##.########.##.#####.##..#..######.#.###...#.#.##..#..##.#.#..#.#.###.#.###...##########.##...#.###...#..##.....#.##.##..#.##...#.###..#.#.##......##..#........######.##.#######..###...###.####.#.#.##....##.##.#...######.##.##..#.#.#.######..........#....##.#.#.####.##...#.#.....##.##..##.###.#....###....#####..#......##..##.####....###.####....#.########.###.#.##.#.#......#########...#.##...#
#..#######.#....##...##....#.#############.#....#.#.#.##.#.##.#.#######.########...###.#.##.##....####.#.#.###....#######.###########.#.####.#####.....###.#.##.############.####.#.#.#.##########.#..##.#..######.###.##.#.#...#..####.#...#########.#.#.#......####...#.##.....##..####.#.#.#.####...####..##...#.#.#..#.#..#.#..#####.##.###.#.#.#.##.#.##.#.###....##.###...#.#.#.#..####.#........##...##.######..#######.##.........###.#.#.####.##.##.#...#.##..#.#........#.....######...###.#...#...##.##.#..#####.##.#.######.#...#.#...#.##.##..###....#.#...##.#######.##.######..##..##.##.##..##.###..#.##..##...########.#..###........##...##.###.....#.########.##...#.#.#.....#####.#########........#.##.##.###.#..#.#.#.........#.###.###..#..##.##...#.##.#.########.#.######.#.####.##......##.#.#.##.####.#..#.#..##.#.#####..###.#######.#..##..#.####.#.#
##..##.....###.###########.#...#.#.#.####....##.#.###.#....#######.#.##.#.##.#.#####...#.#...###.##............#####.......#.##..#..#.#.#....#.....###..........##.......##...##........#.####.#.#.#####.#####.....#....######.######.#.#####.#.#.##############.#....#.#..#.#.#####.#....#.#.########.#.#..##..#.#.####.###.##.##.###....###...#####.##.###..###.##.#.#...#..#.#.#.#.####.#....#.#.#.#####.##.##.....##........#########.#.#.#.#..##..#...#####.###..#######.#.#.##.####......#.#.....#.##.##..##.##.#...###..###......#.#.####.##.....##.#.###.####.####......##..####.#...##..###.#...##.##..##.##..##..##.####.#......##...#.########.##....#.#.#.#......##...##.####.#.#.###...#...##.#..#.####.###########.###.#######.###.#.##..##...####.##..##.#.#..###...##.#.........#######.#..##.#.#.##...#......##.##.....###.....###.##...#.#.#.....######....#.#.#
##.####.####....##.##.##...#.###........####.#..#####.##.#.#.#.#...#.#..........######.####.######################.#######....##.##.###.##.#.#####.#...#.#.##.#..#######..##.##..####.#....##......###.#.#.##..#######.##......##...#..................###.......######.##.#.####.##.##.#.#.#.#............##..##.#..#.#.#....######...########.##.....########......#####...##.###.###....####.#.#.#.##.....###..##.####.####.###............###.##..##.#.#.......##....####.#.#..#.##...#.############..#..##..#..###.#############.#.###.##....#.##.##.........##..##...########.##.....#.###...#.##.##...#######..##..##.........##.#..##.##...####....##.#.#.#.#.##.##.###.###....####.#.....#.#.#......##...##..............##....##....##.#..#.####.#########.######.####.#..#.#.#########.#.#.#.#####.######.###.##.#.##..#.#####...#.#...######.......#####..######.#####
#..#.....########......#.#.#.#...#.#.##......##.#.....##.#.#...##.##.#######.##....#.#...##.#................###...#.#.....##........##..#.#.#.....#.###########.........##.....#####.####.#..#.#.##.......#..##.......###.##.#####...############.#.#..#..#####........########..#..##############.#.####..##.#..##.#...###.####.#..#.#....#....##.#.##........#.##.#.....###...##...####......#.########.####..##..##.###.....#..#######.####....##..######.###.####.###....###.##..##.##.#......##.##.###..#.##.##....##.#.#..#.#..#####.##.#.#####..###.####.####.##.#........#..####.##..##.###.#..##.#.......##..####..##.#######.##.##.##.#....######..#.#.#.##########....##.#....#.#.#.#####.##.#.#####.####.#.######.#.####.#.##.##..###########.##....##.....##.....####.......##.##.............#.###......#.##.#.##.##.....###.###.#.....###.#.##..##.##.#...##...###
##.#.##.##........##.#...###############.#.#.#####.#.#########.....#.#.###...#####.#...###..##.#.#.#########.#.##.##.###.####.#.#.##....##.###.#.#####....#..#.####.####.#..#.#.#.....#......##.######.#.#...#####.#.#..##.#..##.###.##...###....######...##.#####.####..##.##.##.#.##.#.#.#..##.#..#.#....##..##.#..###.#...##.#.#########...#.##..#.#..##.###.###..#####.##..#.##.####...##.###.##.......#....###.###.....#.#...###.###...##..##..##.#..#.###...##.....##.#.##...############.##.........#.##.######.#....#.##.....##......###..##...##.#.#....#.#####.#.#.##.######....##.##....####..###.#.#.#..##...##.##........#.##.##.##.####......#.##.###..........#.#.##..##.#.#.#.#.....#..#.#..#.##..##..#....#.#.#....###.##..##.......#.##.....#.##..##.###.#.#..##..#.#####...#.####.#.###.##...##.##.##..###.##.##.#.###....####.#####...#..##.....#...########.#
##########.######.#..#.####.#.#.#...#....#.#.#.#.#####.##.#....#.#.........###.......#...#.##..###.#..................####....#.#..##.#..##########....##.##.#.##...#......######.#.########..#.###....#.###..#.#..#.##.##.##.##.....####.#.####.##.#.##.##.....####....##........####.......##....#####.#.#..######..##.#.#.#..............###.#..##.#####.#...####.#.....##.##..####.##.###..######.#.####.##.#...#...########.###......#####..##.#####.......#.##.#.######.###.##..#.#.##.#########.##.#####...#.#######...######..####.#.#...###.#.#....##.#...#.#...#.#..#....##..##..#..#.#.####..##...###.#.##..#.#####.##.###.#.##..#.##...############.###.#.#.#.####.#####.##.#.#.#.##.#.##.##.##....######.##.###.#############.####.####...###.#.#####.###.##..#.#.######....#..#......#.#...#..###..#.##.#####...####..#...#.##....#.....##.###..#.#.#...#..#..#.##.#
###....#.#######..##.#.##.....#.###...#.######.#..........####.#.####.##.#.#...###.#.#.###.#######.###.##.###.#.#.###..######.#.#####.##.###..#...######..........#.###.#.##.#.##.###....###.####.#.##.#.#...##...##.#...###..#..##.##...................#..#.#..##..##.#..######.#....###.#....#.##.#...#.#.###.#.###############.########...####.##.#.....#.###.######.#..#.#..##.....###...##......#.#.#########.######...#.###.##.##.##...#.##..#...##.#.#.####..#...##...#.#..##........#.#.##....#..#...#.###.#.##....#........##....#####...#.#.##.#..#.#####...#.####.#.#.####.##.##.####....##.#..#...#.#####.#.....#.#....#.#.##.#####.###.#.....##.###...#.###....#####.####.#####..#.#..######..######.##.#.......#.#.##..##.####.....##.#...#.#.....####...######......##.#...####.####.##.######..##..#..######...##.##.#.#.##.##.###.#.##..###.###.##.##.##.##....#
##..##...........############.#.##..##########.##########.#########...############.#.#...###.......#...####...#.#...##........####.....#...##.###..##.#######.##.########.##.......#####......##..###..###.#..#.#.####.#...###########.#.#.######.#.#.#.#####.##....#########.#...####.##..##.###....##.##.#.#.#...##.##...##.#.####.#.#.#..#####...#####.###.#..........#.####.##..#.#.....###..###.####.#....#.#######...#...#.......###..#....##.###....###.#..##.#.#..#.#...#######.##.#........#####...######.......##.##.###.#..##.#.##....###.#..###.##.#.....#.#.##.#####..##..##.##.#..#.##..####.#.#.#.##....#.#.###.##.#######..##..........###......#.#.#..##.#.###....##....#.##.#########..##.........####.######.#.###.......###.#.####.#.####.##.##.##.##......#.#####.#.#....#....####.#.##.#.#######.....##.#..#..###.###..############.#.....#..#..###...#.##.#
#..##..#.##.#######.#..............###.#.#.#.#.###...#..............#.#.#.#.#.#....#.###..##.##.########....#.#.##.####.##.##....####.###.##....##....#.#......###.##..#..##########.....##.#####..###.##..##.###.#.########..###..#.#.#.###......#.######....#..##.##........###....#.#..#######.####..##.###.###..#.###.##......#........###....#.#.....######.#########...##..#######.##...########.#....##...........#####...#.##.##...###.#.##.#...##.#.....##..#.#.#####.##....###########.#.###....###.###..##.#.#####...####.#####..####...#.#.##...##.###.#.#.#........#.##..##..##...######.##...#.#.#.#..##.#.#####.#........##.#..##.####.#######.#.###.#.###.#.....##..##.#....#.#.........##..####.#####................#.#.###.#.###....#....####....##.###.#.#.#.....#.#####.##.#####.###....#.......##.##.#####.##...#...##...##..#.#..#.##.#.##.###..##.###..#.#
######.##########.#.#############.##...........#.###.########.#####.###.#.......#.####...########.#.#.#####.#.#.####....#..#..#.##.....##.#####.###.#.....#.#.##....##.##.#........#####.##...#.##.#...##.###..####.#.#.###..##.##.#.########.#.#.#..##..####.#.#############...####.#########....##...#####...####.#.#.#..####.#...#.###.##.###.########.#..#.#########...#######.#.#.###..###.....#....######.#.###.#########.#####.##.#.##..#..#######..#.#.#.###.#.#.#.##...####...#.##.##...###.####.......##.#..#..##...#.#.##.#.....##....###.#.#..####.##..###.#.#.#.##.#..##.##.##..#..###.####.#.########.#..#..##.####.#.#########.#....##.....#######...#...#.#.#.#..#.###.#.####...####.#.####....#...##..##.###.#.#####.###.....#..###.#.#.#####.##.####..##.#.#.##.##.#....####....##......#.###.############......##########.#..#.##...##.#..#.##...##..#.###.##.#
#.######..##....#.#.###.##..#########.#.######.#.#............##....##..####.##.####...#.#.##.##............#.###....#.###.##.#.##.##.#####.#.......#.###.#########.......##.#####.##.##.#..#.#.#....####.#...##.##...#.#.##.#........#.##.#############......#.#..#.#.#.##.##.##.....#....##..#.##..#.##.##.#..........##.##.####.#####......##.#.##.....##....#........#....####.#.......###..###...##.##...#.#####..##..#.#..##.....###.###.##..#.#....##.#.#.#...#.#....##########.........#..##......##.#######.##.####.####....##.##.#..##...#.#.##.#.....##.#...###.####.#.##...#..##.#.##...###..#......#.#.##.##....##...#...#.##..####.###..#.#.....##..#.#.#.#.###.#.##.#...#....###..#.######.##.###.####.##....#.#....##...#.#.#.##...###.####....#####...#####.#.#...###.#.##.####.###.########.#####...###..###.##..........####......#######.###..#..##........###
#..##..##....##..........##...........###..........#.#.##.#.#..##.#.###.......#.##.#####.#.....###.##.##.##.############...##.#######.##.##.####.##.###...##...##.##.#.##..#####...##.#####.###.###.##....#.#.#..####..........#.####.#.#...##..#####.##.#.#.#####..........##.###.##...##....##..##.###...########.#.#............#.....##.#.#..#..####.######.####.##.##.#.##..#.#####.#.#.####...#.#..####...#.....####.....##..#.#.##...##.#####...#.##..###.#.#.#.#.##.###.....#..#.#.###.#.#######.##......########.####.####.###.##.##.##.#.#.#.#####.####..###.##.....###..##.###.##.#....###...##.##.#...#######.#######.#.###.###..#...####.#.###.#######.#.###...###.##.#.#.##.######....#.#.#.##...###..#.##.#.##.###.##..#######.##.#.##..##.#.##.....#.#.##....#.#.#...###......##........##.#....#.#.###...##.###..#.##.###...##.#######.###....##.#.##..#.#.#.####
##.##.#####.#######.#.##....#.###.#.###...##.##.##.###.#..#.#.###.###...####.#####.#.########.##...#..#..#..###.#.###.####.#####..#.###......#...#..##..######.......#.#..##...###.....#....##.......##.#.######..#################.....##.##..##.#.#.#..#####.#.##.#.###.#....#.#####.####.#..##.#....###..........#.#######.#.##.#.#.#.##.#.#####.##.###...........#..########......#..###.#.#..#.####..##..#.###.#....##.#.############.###.#.#.#####..##..##.#.#.###..#.#...#.#...##.#.#...###........##.###....#.###.#.#...#...#...#..##.#..#.###.....######.##....##.#.#######....#######.#...###.#...#.#.#.##....#......##.#......###...#....#.#######..#..#.#..##.#...#..#.#.#.#.......##.#.......##.#.##..####..###..#....##.......#.##.#..##.......#.#.###.#..##.#.#.###.#####.##.####.#.##.###....####...#.#.####...##.###...##.#.##.........#.####..#.#.##.##.#.#....#
#..##.##.#..#.......#..##.#.###...####..##########..##.##.######....###.#......##.......#........#.#####.##.#..............#...##.#.##..####.######..######....#.#.#.#.##..###.....###.##.#..##.#.#.###.#.#....##............####.#####.#...##.##.#.....##..........#.#...##.#....#######...#.##..##.####..##.####.##.###.....#.##.#.##########...#....########.###.###.#..######.###...##.......##.#....########...#.#.########.##........#...#...#.#...##..###.#.#.##..##.#.#.#####.#..###.#.########.###....##.###.........#...####.###.##.#.##.##..#####.......##.#.##.#......###.####...##.#.########.##.#.#####.#...######..#.######...###.####......##.##.####.##..##.###.#.#.#.###.#.####.###############.######...##.##.#..#.############.##..#.#####.#...#.#.##..#.#..##.....#.##....#.###......#####.#.###.#......###....##.###.######.###.#......##.#.####..#.#.#.####
##....##.#.####.#.#.#######.##..#.#....##..........###.#...##....####...#####.###.#.###.######.#.#.#......########.#.#.#######.#....#####...........##....#.#.######.#.##.#####.#.##......#.##..#.#...######.#.###.##.#.##.#...#..........#..#.##.####.######.#.#.#######.##.##.#..##.#.#####..##.#..##...##..#....#..#...##.##########..#.#.##.#...##.#.#......#...#.#...##.##...#...######.#########.#.#........###.#.##.....#....#.#.##.#.#.#.#.....#..##.#.###.#..##.##.######....##.##..#.#..........##.###....##.####.#####.#....##...###.##.##.###.#..##.##..###.#..#.##.###...#....#..###.......##..###.##..#####.....###.#....####.##......##.#####........#######....#.###.#..####....#.......#.#.####....#..##.#####..##.#.....####.##..###.#.....###.#####.###.#.#.##..##.##..##.###..###.#.#.....#.........####...##.#..#...#..#.##..#.######.###..#..#.##.#.###....#
#####.##.###.####.#.##.##....##.######..##.#.#.#.#.#.####.######.##...#.##......#####..........#.#.#.###.##........#.#.#.........##...##..#.######.######...#..#########..#...#.#.###.#####..##.#.#.###..#.###.#...#..#.##.###...#.#.###.###...........#.#....#.#.#.......#..#..##............###.##..###..######.##.####.##....#.#.#.#.##.#....###.##.....#.#.###.##...#.#.....#.#.#####....#.........#######.#.###..#.##.#.#...##.#####..#.#####.#.#.#.##.....##.#.##...#.##.##..##..###..###########.#.##...####.##.##...#.....#.#.##..#.##...######.#.############..##.###...####...#.##.####.#####.##.###.....##.....#.###...#.##....###..#.#.##........####.####.#.###.#.#..##.##...##.#.###.#.##......#...##...#####.##..######.####.#...##..##.#.###..#####..#..##.#.#..##..#####.##.#.##...#.#.#.#####.####.#.##..##.##..##.#.#.##....##.....##############.####..##.##.#
#.#......##...###.#.#..#..#######..###########.###...##....#.#....#######..##.#####...#####.#.##.#.###....########.###.##.#.#.#.#####....######....#.#####.##.##.#.##.##.####...###.######..#######...##...##....#.##.#.#..#...#.#####...##..#.#.###.#.#...#.##.#.#.#####.##.##.##.##.##.####...#.#..#####.###.########...###.#.#............#.##....##.#.##.#..##..##.####.#.########..############.#.#...#...#.#...##.##########....##..##.###...#.#.#..##.##.##.#..##.####.....##..####.##...........#.##.###.#...#.#..#.#.###.#.#..####.#..#..##.#.........##.##.##..#.###.#...##.#.#..#.#........#..#.##..#.#######.####.###.#.###.#...##.#.#..#.#.#.##.#######.......######.#..##.#.##.#...#.#####.###...#####.##......##.#.##.####.#...###..###.#...##..##...###..#.#.##.##.###.####....##.#.#.#.#...#.#.######....###..##..#####..##.#..##.##......#.###.#.....#####...###
#...##.#..###.#...####...###.#.###...............##.#####.##...#.##.##.##########.#####.....#.#######..#.##..........###..#.######.#..##.#......####.......####...........####.####.#......##..#....###..###..##.####.#.##.###.###..########.#.#.##..####.##.##.######.###########.#..#..##...#.######.....#....#.......#.#...####.#.#.###.#.##################.######.#....#.#....#.##.##..##...#.#######...#.##########.#.#.##...#.##..##..#.###.#.#.####...###..##.##.#..####.####.#.....##.##.####.##.#...##...#.#.######.##..#.#.##....##.#.##....##.#.##.#........##...#.#.######.#######.#.##.##.##..##.####.............###...###.#..###.##.#.###.##.....#.#.########.##..#.##..####.##.##...##...##.#.....#....##.#.#..............###.##.##..#.#..##..##.##.####.#.##.##.##...##..##..#.#.#.#.#.#..........#.#.##.####..###.##.##..#####.##.##.#.......#.###.#.##..#...#
##.##..##.......#.##.###.#.........#.##.#.#.##.#.#..#.#....###.####.#.............#.#######.#.#.#.##..##.######.#.#####..##.#........##..#.#.#.####..#.#.###.########.#####..#.##.#.###.##..##.##.#.#...###..#######..######...####........###.#..##..##..##.#....##.......#.......#####.#..#.#.##.....########.#######.#.##.###...#####...#.#....###.#.......###.###..###########.........#####.#..#.#.##.######.###.###........#.#.#..####.#.....###.##...#...####...###.##.....#.#####.######..##....###.#..##.##.####......##.#.#####.#.#..#..######..#.#....#.#.#.####.##.#..####...##.##..#..######..##.....######.#.##########...#.#.###...#######..##.##.....###.......#.##..##....#.#...##.####.##..#.##.##############.#.#.#.#.#.###...#..##.####..##..#.#.....###.####.....###..##..##########.##.#.##.#########.#####.....######.....#..#.########.#.....#....##.#.###
#..##########.#.###......###.#.###.#.##.#####..####.#...##.#...##.#.##.###.#.#.##.......##..###....#######.#..######..##.#..##.##.##..##.#.###.##.##.#.#.#........###.##..##.###........#####...#######.....##.......#########.#....##.##.##...#.###.####..####.########.#...#.#.#####...#.##.#..#######.....##.#.......####...###.##....#.#.####.....#######.........######.#.####.#.#.##..##.#.#.##.#..####.##....#.#.##.#.#.#.#.####...######.###...##.#.#.#..####.##......##.##..##.....#.###..##.#..##.#.##..##.##.#####.###.#....############......##.#.##.#.###...##.##.##..##..#.#...##.##......##..##.#.###.....#.#####....#.###.#.#...#..#.##...###..#.#.#.....#######..##..##.#.#.##.###.##....#.##..#..##.###.#.##.#.#.#.###.###.#.######....##.####.....#####.....##.#.#...##..##.#.#.#.#.####..###........#.#.....#.#.#..###.#.##.#####..##.#######.##.##.#.##.#...#
#.##..........######.###.##..#.#...#.##.##.#..##..#.##.##..#.#.#.....###...#.#####.####..#.##...##.#.##.#....##..#.##.##########################.....#####.#.#.##.#.#####.#..#####.#.####.#.###..#.#.#..#.#.#######.###.##.#.######.##.#.....#.###.....######.#..##.######.#.#.#####...######.##.##...######......#.###.#....#.#....##.#.###.#######.##.##.#..####.##.#......#.#.#..#######...........#.###...#####........#.#.#.####.#####.#.##...#.####.###.####..#.##.#.#.###.###....#.#.#.....##..#.##..#.#..###.##.......#...##.###.#..###.#####.#.##..#.#..#...##.##...#.#..##..##...###..##.#.##..##..#.#.##..#.#.#.......##############.##....#.#...#.##.#.#.#.#....#.#######..#.###.##.##..###.#.#..##.##.............###.#..##............##.#..#.##...#.##########.##..#####.###.#............###...##########...##.##.####.....###......##.......###..####..#.##.##.##
######.###.##..##.##.#...##.##.###.#..###....####...##.##.##.#.##.##.....###..##.###....##########....#.#.##..##.#.##.#.#.#.............##.......#.#.#.....######....#.#..##.#.###.######.#.#.##.......####.#....##.#......#.........####.##.#...#.#.#.#...#....##.......#####.#.....#.##.#....###..#..#.#...##.#.#####.##.#.#.##.#..#####...#..........#....##....##.#.##.#.......##..#....#########.#.#.###.#..#####.##.##.#.#####.............#.#.#....##.......############....###.##.#####.#..##.#.###.###.##...#..#.#.#.###..#..##.#.##.....###.#..#######.##.###..##.##.##.###..##.###..##..#..##.##.##.####.####.##.##.#...#.##.##.##...##.#.##.##.##..#####.#.######....##...##...#.#...##.#...###.##...##.########.###...#.###.#.#.#.####.#..##.#.##.#.###.......##..##..#.##..##.#.#.#.#.#.####...#............#..####...##.#.###...#.#######.#.#...##...#####..#.#...#
###.#####...##.#.....###.########..#.##...#.##....#.#...####.###########...#.##...##.##.##..###....##...#####.#.....#.#.#.####.#.######..###########.########.#.####.#.##.#..#.#...###...........#.#.#....######....##.###.##.##.##.####...###.#.###.###.#...#.###.#.##.##...#####.#.###....#.########.....###..#.#......###.#.#..##.#.....#.######.#.#...#.####.#.####.##.##.#.#.####...##########........##.#.##.....#...###.###.#############.#######.####.###.###...........#.##....#.#.....##.##.#..##..##.####.##.###.######.#.##.......###.....#.###......##...##..####..###.#.###...##.##.###..#.##..#.#.......####..#.#.#..........###..#.#..#.######...###.#........##..##.####.##.##.##..###..##..##.##......###....##.##...#.#.###...##.#.########.#...#.#########..##....##..#.###.###.########.#.####.##.#.######.########...##.##......##.####.#####...##..#####.##
#...#.#...#.##.#.##.##.....##.....#######.#..####.#.#.####.###.....#.....#.#.#..#....#...##.#.#########.###.#...###.#.#.#.##.#####..#...##.#.#.#######.##.#............#....##.#####.#.#.##.####.#.#.##.####.##..##..#####.#######..##...#...###.##########.####.######.###.##...#.#.#...##.#.#...##.#########.#####.#.#####.#.#.#######.#####......#####.####...#.#.#...###..#.#..#.###.#........##.#.#.#.........##.###.####.#...........#.#........##.##...###...####.#.##.#.#..###.##.##.#.##..##.##.##.##...#.####.#...#......#..###.##.##...##.##.##..####..#.#..##....##.##..#...#.###...#..##.##.##.#####.##.#.##...####.##.##.####.####.#.#.##..###...###.###.###.##..####....##..#.#..###...#.##..###..##.#.#...#.#######..#.#.#...#####..#..#...##..#.#....#.###.###.##.##..#.#####....#......###.#.#########.........##.#.######...#.####..#....#...###.###..##.#.#..#
###.#...#.#.####.####..##.####.#.##....####.##....###.###...######...#.#.##########.####..#.#.#.#.#.#.#.......#####.#.#.#.##.##..##.###.##.....#.#.##.....###.########.####.##.#.##....######....#.#.#..#.......##..##...#.#.#.####..###.##.######.##...#...#.##.##.#.#.#.#.#..#...#.#.##########.#............##....#.#.....#####.......#.....##.#.##....###..#.#.#.##.##...#####...##..##.#.#.#....#.####.##.#.#.##.##..#....##.#.####.#.....##.##.##..#..#...#.#.#....#..#####.##...#..##.#..#######..##..###...##.#######.##.#.#.##...##..###..###...##.##...##.#.###.#.#######...#.#..##.#.#.##..##.##..##...##.###..#...##.##..#...##....#.#.#..####...#.......#..######...##.##.##.#####..##.###..##...##.##.#.##.#####...##.##.###.#...#######...#..##.#.#.#.##.......#.##.##.##.....##.###.####...#.#.........###.#.###..........##.#.#....#.##.#.##.###.....##......##.#
#.....#.###.#.####.#..###..#.#########.......##.#...###.###.#.##.###.#.#.##.#.##.##....##...............#.#.#.#.................##....#.######......#.###...#######.................##.##.....##.######.####.##..##.##.#............####.##.....##.####.#####.................####.######.#######.#.#.#####.#.####.###.###.#...####.#.##.#.#.#..###..##.#.#...##.#.#....##.###.#.#.###..###########.#####.######.#.#..##.##.#.###.####...##.##.##.######.##.##.#######.#.#.##..#...##.###.##.#.##.......####.##..#.#...#.##...##.#.#.##.#.#..##...##...###..####..#.#.#...###.......#.#.##..###.#..##..#####..#.#.##...####.####..##.#.#..######.#.######..#.#.###.#.##.....##.#########......##.#...######.####..#.#.##...#.#.####..#...#.##.##.#.#.###.#.##..#.###....#.#.########...#####.##..##....#.#.#.##.#.#.#.##################.#######.#.##..#.#..#..###.####..#.#.##..#
####.##..####..###.####.#.##.##...###..#.##.######.##............###.#####........##.#####.#.#.######.#.###.#.#.###.##.##.#.###....##....##....####.###.###.##......#.###.#.##.#######.######.##.##.#...##...############.#.#.###.#.##...##.#.###....#...#....#.#######.##.##.#.....##....#.#.#.#.###########..##..##..##..#.###.##.###..##########.##..#.#.#.####.##.#.#..#.......##..##.##........#............####.##.####...###....#..####.##...##...#..##.#.#.##..#.#.###...###...##.##.########.#..##...#.######......#.#..###.####.##.####.####...##.#....##.#.###..##.##.##.#.#..##..#########.....##.###.##.#..##...#.#####.#.##..#..##.#..###.##.#.#..##.#..##.#.##....#.##.###.#.#.#####.##....#....##.#.###..#........#.######.##.........####.#####..##.##.#.#.##.#.####.######..##..####.###.#.##.###.#................#####.##.##.#########.##.##.....#######.##.##
#....#####.###.#.#.####...##....#.#.##.#.#...##....########.####........####.##.#.....##...#.#...##...###########....###..#.#.###.######.#####.####..#.........###.##.#...#.#..#.........##....####...#.#..###.#.##..#..#####.##..###..#.##.#####.##.###.#########.####.##.#######.######.........##.#........####..##..##.#.##.....#...###.#####....####.###.#.....######.#.##.#.###.##.....###.########.#.##.#..##...###....#.######.##.#....##.#.####.##.##......####.#.#.##.##...#..#.##.##.......#.###.###.#.#....##.#.####...###....####.##.#.#..########.#####.##..#####..##.########.......##..#.#.#..##...#.#.##..#.......#.#..##...######.....####.##.##########..##.###.#...######.#.#......#####.####.#...#.###.##.####...####.##.#.#.#.#..#####.####.##..#####........##......#.####..######..####...##########.#.####.##.###.#.........##.########.#.#..###.########
##.#.#.....#............#..###.##......#.##.######.#.###.####.###.##.##..#####..#####..#.#.#.#.#.###.##....#.#.#..#.#########.###.#......#.#...#..##.####.########.##.##.#####.#.#.#.#.#..#.#.##....#.#######....###.##....###########.######...###......#.###.#.........###.#...#.##.########.##......#####.##....###.##..#######.###.##....#....#.###...##..#.#.#..#.#.#.######.#....#######...#######..#..###.##..######.#.###.......######..#.#...##..#.##.#.#.##....#.#....##.#.##.###..##.##.#.####....##...###.########.#.#.########.......#...##.#.#.....#.######.##.##.###.##.#####.###.#.##.#######..##.##.#..##.##.######.####..#.....##.###..##...#.....###.#####....#...#...#.##.#...#.#.####.###..###.###.#.#..#...##.#....#..#####.####.#.##....##..##....##.##.#########.#####..##...##.##....#.####.#####.###....#........#.#.#.#####.......#.###.##..........#.#
####.#.###.###.##.##.##.#.###...##.##.##.####.######..............#..##.##.##..##.....############.#######.......####...##.#....###.##.#.....####.........##.....###..##.#.....#.#.#.#.##.#.#..##.#######.....##.....###.#..............#.#####..#######.........#.####.####.###.####...........###.#.##.....##.##.#....##...##....#.#######...##.#.#...#.#..#######.#.....##.....##.###.......#.#..#....###.#....##.#......#...#####.####.###.##.#.#..##.#.####.###..##.#.##.#.#..#.##.####.##.#..###....##..##.###..##.........###.##.....##.##.##.##..#.##.##.......##.##....##.......##....#.###.......##.###.##.##.####.....###....##.#.#.#.#...##.####.######.........##.#...#####....#.###.#.#..........###....#...##.##.##..###.###....##..#.###....######..######..####...#...#.....##....#....##.##.#..............#.#.#############.#.###...#.#####..##.###.#.#####...#
########....#####.##.#..#.#...#.##.#..#..#.......###########.##.#.##..###..######.#####.#.#.#.##......##.####.##....##.##....##.##..#####.##.##.######.####..#.#.....##..#####.#.#.#.###..##########.##.##########.#.....#.#.##.#.#.#.#.#.#...##.........#.####.#####...##............##.##.##.####.#.####.#.##.##.##.#.#..#..####.#.........#.##.#.##.##.##..##.#.#.####.#####.###..#...#.##.##.##...#.##...##.#..###########.##.....#.#.......#.#.####..#.#.##...####..#.####.##.#.####.....####..##.######..#.#...##..#.#.#.#.##.....#.#.##.#..#...##......##.###.#..#.##.##..##.####..##.###..###.#.##.##.##..####...###.#.#...#.##.##.#.#####.#..#.#.#.......##.##.###..#.#.#.....######..##.#.#.##.#.###.#.#######.###..#####.##...#########....#..##....#.##...#####......#...###.########.##.#.###.##.#.#.##.#.##.#.####......#.....##.#.....#####.#.#.###..####...#.#####
##.##.###.#...#...#..##.#####.#.##.#.##########.##.#.##......#############.#.###..#............####.###..#.######.#.##..##.#.#.....##.....####.........#....##.##.##..##.##....#.#.#.#...##....#.....##.##.#.#.#...#.##.###########.#.#.#.#.#####.###########...##....########.###.#.#####..##.#....#.#....#.##..###..#.#.#######..########.##.##.###########.##.....##...#..#########.#.###..#..###.##..##.##..#.##......##.######.#.#...#.#.#.#.#.####.##....###..##..##.#....#..#....####.##....##..###.##.######..####.#.#.#.#..#.#.#.#.####.##.#####.##.##....#########.##.##....##.##...###...###.#########....##.##...#.#.########..#..#.####.####.##.#.#.##..##...#########.##......##.#..#####..#...#.........#...##...##...###...##.#.#####...##..####.##.#....######.#######.......##..##.#...#..#.###.##.#..###.#..######...########.#.#..#.#........##...##.#....#.##
#.........###...#.#.##..#.....###..#..##..............#####.##...######......#.#####.#########.#.#..#.##.....#..#######....#.##.#.######.##....###.##.###########.#..###.#..##.#.#.###.#.#####.###.#..#.#....#.##########...........###.#...###...##......#...#.###.#.##.####...#######.##.######.#.#.###.##..##.###.######.###...###.......#..#########.#.....##.#.#####...##.........#...##.####...##.##...####..######...........####.####.#.#.#....####.##...##.##.########.##.#.#.##....#..##.#####........##...##.#..###.#.##.#.#.#.###.....#.##.....#.#..#####......###..##.#.##..##.#...#.#.##.......#.###.####.####.###....#.#######......#...##....###.########.############.#.#.###.##.....##.##.######.#.###.#.##.####.#.##..#..........#.#####.......###.##...#######....##.#.##.###.##.#.#.#.##...#.####.######.####..###.......####.##.....########..######.##....#
#.#.#.#.#####.#.#.#..######.#...####.##..#.#.#.###.##...###.####..##..####.#.....#.####..........##.#..#####.#.##..##.#.#######.#.#.......##.#.##..#...##.......###.##.####.#..#.#..##.#.#.#.....####.....##........#.#...#.#.##.#.########.#.##.####.###...###..##.#.##......#.#..........##.#########...#..##..#...#.##.....#####...#####.##.#....##.#...#.###..#.##....#..#####.#######..###.####.#######.#....##......###.##.#.###.#.#....#.#.#.##.##.#..#.###..####.##.##..#..#.#.##.#.###.#..#.#####.##.#..#####....##...###..#.#.###...#.#.#####.##.#.##.......#.##.##..##..#..##.#..#.#####.#..#.#####........###....##..##...#.#...##.#.####.##..##..##.......##....#.#.#.#.###.#...#.##.#.#.##..###.###############..#.###..##.##.##.#.#.##.##.#..##.##...#.##.#.....#.##.########...##.#..#.#.#..#.#.#...#####.###..#.##...#.##.##...##.##.#.#....#...##..#.#######.#.#
#.#.###.#.....#.#.#.##......#.####...###.#.######..###.##.#..####....##.######.###..#.###.#####.##..#.##...#....##.#....##......#.###.#.######.###.##.##..#.#.#.....#.......##.#.##..#####...#.#......#.#.#..#.##.#.....#.#####..###...##......###....#####..##.##..#########.#####.#.###.##...#.#.#.####.##.##.##.#.#....#.#.......#.##....#..#.##......#.#.##..######.#.##.##.####....###.#...#.#....#.#...##.#.##.##.#..##.#..###.....#.#.######..#.#....##...##.#.##.......###.###.#..#.#.######........###.##.....##.##.#.#...##.#.##..#.#.#####.#.##.#.###.##.#.#..####.##..###..###.##....##.#.##....##.#.#.#.###..##..##.##.#.....####.#.#.########..####.##.#..##.#...........#####.#.##.#.#..##...#.....#.##..###.##...#########...#.#.#..#....##..###..###..###.#.#...#....#.#.####.##.#.##.#.####.#.#.#.....#.#.#.##.#..#.######..###..##.#.#.####.#####.......#.#.#.#
###..####.###.#.#######.#.#.#.##.#.###.######.#.##.#......##.#....##.....#.......##...#.#####...###....###.####......#.####.##.######.###..#####.##########.#.#.#.###.#.###.#..#.##.###.######.##########.##.###..####.####..#..######.##.#.##..####.##..##.##...##.##.########.....###...##.#...#.........###..##.#.#########.#.##.#.#..#.##.######.#.#.#.#..##..##.#..#..####...#####...#####.#.##.###...#.##.#######.##.##.#.##...#.#.#.#..##....#####.#.##.#.##....####.##.##...##.####.#........##.#.###...####.#.#..#..#.#.######..######.##......#..#.#.#.####.#.##.....##..#####....#.####..#..##.#.##.###.#.##..###.##..##.#.#.#..##..#........##..##.#..##.#.##..##.###########.######..#.##.##.#...#.#....##..#...#.#....#...###.##.#.#.####.####...######.######.###...####....#.######.#..#....###.#.#.#.#............##......##...#.###.#.#.......#.##.##.####...#.#
####.#....#...###..##.#########..###......#......####.#.#..######..##.##.#####.###..#.#.##....#...###.##........####.#.#######..###...#...##.........##.##..#.###.##..#.##..#.####..#....##.######.###.#..###########..#.###...##.........#####.#.##.###....##.#######.......#####.###########.#...###.#.###...##..#####.##....#.#..#.##.#.##.#...######.######..###...##.###...#.......#..##.........####.#.##.##......#..#..#..#####.#.####..#.#.####.###.####.###.###....#...#.#.##.############.##..#...#####....#.#.###.#.####.....##......##.#.#.###.#.#.....########.#.####....##.#.##....##.#.##..###..#...#..#####...#.##..#.##########.#.####.##.##..#.###.#.###.##.........##.....######..#.##.##.##.##.####.##.######.#...###.#.######....#..##..#......#..#..##..##.#......##....##....##.#.#.##...#.#####.#.##.#.##.#####.#########.##..#.#.##.#.##.##.##...##.###.#
#....##.#.#.#..###..#.##.#.#.###..#######.#####.###.######.##.....######.##....#.####.#.###.#.#.#......###.##.###....#..##.#...##...#####....#.#.###.....##.#.#...###.#.###.############......##.........##.##.####.####.#...#####.##.#.#.##.##.#.####.####.##.##....######.##.######.##.......###.#...#..##.#.#..###....###.#.#.#.#######..#####.#.####.###..##.#.###..###.##.##########.##..##.#.##.#....####.###.#.#.##.##.#.##.....#.##...##.#.#.#.........#..##...####.##.##.#.#..#...#.##.#....##.#.###.....#.##.#.#...#.#..#####..###.#.#########...#.###.#......#.#.#....###.###.#..#.#.###.#.###..#######.#.####...###.###.#.##..#.#.####....########.#...#.#..#####.##########.#####...##.##.##.##.##.#...........##..####.####....##.#######.####.#####.###...##..##..#.#.##############.#..#.#..##.##.....###..#.#..#.....#....#...##..####.###..###...#.#..#.##.##..#
##.#.##.###.##.#.##........#.#.##..#.#.##.#.#.#.#.#.##.##...##.#.######...#.##.....##.#.#.############..#..#..#####.#####....######.###.####.#########.#....#.#.#...###.#...##.#.##..########.####.#####.##................#.###.########.#..#....#.#.......##.#####.........#.#..#.#.########.#...##.##.###########..##.#.#.#.#.#.#.......###.#.....#.###.##.#..#...##.##...###.............###.#######.#..##..#...#.#..####.#.##.###.#.###.##..#...##.####.#.#.########...##.##.###.##.#...#....#.#####...#.#.#.#.#..#.#.#.#.##.#.#.#.##...#.####......###.#...##.##.##.#####.##.....#.##.#.#...###...##...##....###....#...###...#....##.#.#..##.#.....#.##.###.####..##...#####.##.#...##..###...####.##.##.#.#.#.#.#.#..##.##.####.##.#..#.......#.##...##########.##..###.##.#........##.#.##.##.###.###.#..#.#..###.#.#.########.##...#####.####...##.###.#####.##..#..##.#
#..#.#..########.##.#.####.#.#.###.#...#............##....#..#####.##.##.####..#.#.........#.#.#.######.##.#.##..##..#####.#####.#..#..........###..#####.###############.#.#....###...............##.....###.#.##.##.###.##.#...##.##.#####.#.##.....#.#.#.#..#.#######.###...##......##.##.#####.##.##.....#####...##......#.#.#########.##..#####...##..#..#####.#####..##########.#.#.#.##....##.....#.####.#####.#.###.#.#######..###.#..##.##.######...#.###........#.##..#...########...#.##.#.....#.#####.####.#####.#.##........###.#..##..####.#####.#..#.##....##....#..#.######.###.####..#.#..#######..##.#.##.#..####.#.##........#####.#.#........#..#.#######............#....######..#.#.#####.#.#.#.#.###.##..........#####...###.#.######.#...##.#.#####...#..#.#.###.##.......#.#....####..#.##.##.#.###.#........#..###..##......##.##.......#.####..#####..#
#.#######.##.###.#########...#.#...###.########.###.########..#.#..#.....#.#..#####.###.##.................#.###....##.....##....#.####.#.#.#.##.##..#....##.#.#.##.#..#######.#...#############.#####.#.##...#.#..#..##..######..#............##.#.#.#.###.#.##...#...###...#....##.#.............#..#..#.###.#...#.#..####.#.#.###.#......##.#.....#..##.##...#...##.###.#.#...###############.##..##.##..##..##....#.##....##.###..###....#####...#.#...###...#######.##.##.##.####.#######.#.#..#.##.##..#.##...####.....###..####.#.##..#.##..##......##..#.##..##.#..###.##.##.##...#..##..##..#####..##.....#####..###.##....#..##.#.###..#.####.#.#.#.##.##......#.#..##########.##.####.######.....##..#.#.#.#..##....##.#.#.#.#..##.#.#########......#..........#.###.##.#...#.##.#######.#.#.###.####.##.##.....#####.###.##.#######..#.##.##..##.##.#......##..#####.#
###.#.###.#....#.....#.....#.....#...#......#####.#.#.####.##.#.##...###.#.#.##.#.###.####.###.##.##.#.###.#.#.##.#.###.##..##.#...#.########.##.###.######....#.##.##..##.##..#.#...##..........##.#######.###.#.###.#..##.#.###...#.#.#.###.##..#.##############...#.########.#.##.#####.#.#####.##.##.###.....###########.###.#...####.###....##.###.......#.###.##.#.#...###.#...#.#.#.#......##.#...##..##.#####.######.##......##.####.##..##.##.###...#.###..##.######..##.##.#.#.#.....#.##.#.#...##....##.##.#############....#.###.#####..####.#..####.##.#####.#########.....######..####...##..##..#.#.##....####.##.##.##.####...##.#....###.#.###########.##...##........#.##..#........#.#.#..##.###.#.#.####.##########...#####....#.##.######.#.##.##############.#.#.###....#...#####.....##....###..#.###..##...######...#######################.######....##.#
##........####.#####...#.#####.#####...####....#....#..............#.#...#.#.#.....##.##.####..#..##.#.#...###....###.#.########.#.#...#.#.####..#..........##.......#.##...########....#.#.#.#.##...##.#.#########.####.##.......#.#######....##.###......#.#.##..#.#.#.##.##..#.####.....#.##....#..##...#########...........#.#.#.#....####.#..###.##.#.####.##.....#...#####.###...#.....##.#..#.##.#########..#..##......##.#.#.##.........######.#...###...##.....#.#...###.#........#.#.###..###.#.#..##.##.##...######......##.###....##.##.##...#.##.....#.....###.........#.#.###..##....#.####.####.#.#.###.#.##...#..##.##..##..###....######.#..##.#.#####..###....##.#########...############.##....###.#.##...........##.#....##.##....#.#..##..####..............#.#.#...##.#...###..###.####..##...##.#...##.####..#.###.###.##..##.#.###..##.####..#.#.##.######
#..##.#.#..##...#..########.######...#.##.####.####.##.######.#.##.#.###.#.#####.#....##.##.#####.##.#.##.#####.#.###.#.#.#...#..#####.#.....###.#.#.##.#.#.###.####.#.####.#.#.#..##.#.############.......##.####...#....####.##.#.#..#.#..#.##....###.##........####.#.#.....##....#####.####.##.#.##..#.##......#####.#.#.###.###...#.##..#######.....###.......#.#...#..##.#.#.###...##.##..#.##.#..##.....###...###.##.###..#####..##.#.#.#####.....#...##.####.##.....#...##########.#.#.##..###..#.##.##.##..###........###.##..#####.##..##.##.#.#..###.#.##.##...#####.###.#.#...##..######....#....#.#.#..##.#.##.#.##..#..##..##...#.##..#...#.##..........#.##...#.##......###.##.######.###.####..#.##...#.#####.####.###..###.##...##.###.#.####....#.##.###.#.#.###.#######..#.#.#.##...#..####..#.#..###.#.......##............##..........##...#.#.##.#.####....#
#.########....#...##.#####.......#######...............#......#.##.#.#......##...####....##........#.#..###...#.###.#...#...#...###......###.......###..#.#.#.#.#.................##..####.#.#.#.###.####.##....#..#...####.#...######.#.##.#####.#.#....###.##.#.##.......##.##..####......##..####.##.##.####.##.#.#####.#...###...#######.##.#.#..#######.#####.#.##.###............#.##..##.#..#.##.####.#.....#.##...###...###.##.##..#.#...##..#.####.##...#.#..##.##.#.#.##.........###..##.##..##.#..##..####...##.#.###....#.##.....###....##.#.#.##...#.##..#.#.#.....##..#.###....###.##########.##.####..###.##.#####.##..##..##.##..##...##########.#.#.##..###.#..##.#####.#.#####......#...######..##.##...##....##...##...#..##.###..........##.#.#..#..######.###....##...##.#......####...##.#######...##.######..##.##.####....#.#.##.#####.##.####.....#..#.##
####.#.#.##.#####..#.#.#.#######...##....##.##.##.#.########.##.#..###.#.##..#.###.#..##....####.########...#...##....#.#.#.#.#.#.##.#.#.######.#####..######.########.##.##.#.##....###.........#.####....##.#...#######.#...####.#.#......#.....#.######...#..#..###.#.#.#...##.##...###.##..##....##.##.#....#..........##.######.##.#.##..#...####.........########...##.##.########..##..###.##.##..###.####.##.#..#.#...#.##......#.##.#####..##.##....##.##...#####..#.#..##.####.#.#...##...##..####..#.##....#.#..#.#...##.#..#####.#...#.##..#.#.#..#.#.##.####.#.#.#.###.#...#.##.......###.#.##..#.##.#.##....#.#.....##.####.#...####..###.###.#.######..#.##...##.##.....#.#.#.#.#.##.###.###.#.##.###..###..##.###..#.##.#.#.###.##..#.###.#####.###.###......#...##.###..#.##.##.##.###.#.#.##.....##..#.##......##..###.....##.##########..#......##..#.#...##..#
##.#.#.#..####.###..........##...#..######..#..####.#.....#####.############...#.....######.#......##.#.###.##.####.#.#.#.#######.#..#.#.#......#.....##.##....#.......#..#..#####.#...###.#####.#.##.####..#######.###.....###.#......#.##.####.########..#.#.#####...#.####.##...#####....##..###.##..##.###.###.##.#.#.##..#......#.....##.###.#....#.##.#.##.####...#########........##..####.####..##...#.....####.#######..##.#.#.#..#####...##...###.#####..#.#.##..##.#.#####.#..#.##.####.##..###...######.#.#.##.####.##..#.##.....###.#.###.#.#.##.###..#...########...###.#####..#.#.#........#.#####.#.####.#####.##..##########...###..##.#.#........#.######.##...##.##............####...##....#...#.##...##....#############.#..##.#..##.....#.##..#.##.######.###...####..#..###......##########..##.#.#..##.#####..###.##..######.#.####...##.#....##.###..#.##
#........####....##.#######..######.##..#..#####....##.##.......#.....#......#.#####.#.#....##.#.###........##.##...#.#.#..#.#.#..#.#######.#.#.##.#.###.#####.####.#.##.#####...###.#########.#.#.#....###..#.####.#.####.####...#.####.#####.....##.....##.###.#####.#..##..##.###.....#.####.#.#.##.###.#...#...##.#.#..#############.#....#.....######..#.##.#.#..###...##.#####.##.#######.#...########.#.##.##..####.###..##..###.#.##.....#.##.###......##.##.#....##..####.#....##.#...##..###.#...#..##....#.#.##.#.....########.#.###..#..##.#.#.##.#...##.#....##....####....###.##.#.#.#.#.######.#.....#.#...##.#..##....##...#..#...##....#...#.#.##.#....##..###.#####..#.##.#####......#....##.##.####..#.##.##............#..#.#####.#####.###..##....####..##...###....##.#.##...##.####..#.##########.##..#.....##...#####.....#......####..#.#.####....#.##..#
#.######....####..####...###.##.##...##.#.##...#.#.############.#####.####.#.#.#.......#########...###.###.##..####.#####.##.....####.#.....###########..#..##.##...#.#####....#..####.#.###.......####...##...........#####....#####.#..#.....#.#######.##..#.........#.####.#######.##.#..##..#...#....#.###.###.##.#############...#######.##.#.##...###.###......######....#.#####...##...#...#.#..#.#...###...##.###......####..####..###.#.#.#..####.#.#.########.#.##.###.....#.#######..##..##.##.###.##.#.##.###..#.##.##........#.#.##.#.###.#.#.#..###..#.#.#.##..#.###.##.#...#.##.#####.#...###..#.#.#...##.##....##..##..#.#...########.#...#.########.#.####..##...####.#.##...####.##.##.#.#####....##.##.##.##.#.#####.##...##....##.....#.########.#......####.##...##..#.#.##.#.##......##..........###..##.##.##..###########...##.###....##.#...#####.#..#.##
###......##......###.###.........###.##.#####.#######.#.###.#####..........#.####.#.##.##........#..##.##...##..##....##...#####...##.####.###.##.#.#.##.##.......#.#.#.....#.##.##.##.....#######.#....#....#########.#.####.####.#....##.###.#.#.......##########.##.#.#.####.#.....#..#.####.#.#.#.######...#...##.#.......#.....#............#..###.....#######.##...#####.........###..#...#.####...###.###.#.#..#.##.#.#....##....##.##..#.#.####.####.#..##......###....##.####.####.#..##..########.#.######...#####.##.#######.#.###....#...#####.######.##.#.#..##.###......##.##.##..##...###..#..####.###.##.#####.##.##..######.....##...#.#.#........###.#.#..##..#....#.#..#.#....#..####.#.....##.####..#.#..##.#.....#.#############.###.#........#.#.#.#.##..#..###.###.###..#.#.##.####....#.###.#.##...##...#####.....##.#..#.####.#.##.######.#.....#.#.##..#
#######.########.......##.######.........#.#....#.#...........############.###..#.#..#.#..#.#.##.####..##.#####..###.####.##.....###.......#................#.#.#.###.###.#.###......#####...........##.##.#.#.........#.#.#####.#.##.#.##.##..#.####.#.##.##.#......#####........#.######....###.#.#...#.########.##.##.#.##...##.###.##.#.#.####.##########.#.########..##.#####.#.#...####.#.####.###.#####.######.#....#.##.#####.#.######.#.#..##.......##..##.#.#...##.######.....##....#######....#....#..##..###.#....###.#.#...###...##.#.#..##...#.......#.###.##....##.#.#..########..###...##...##..###...####......#..##.#.#....#.#..###.#.###.####.#####...##.###.#.##.#.##.#.#.#.##.###.###.######.##.#.#####.####.#.#####.#.#.######....####.#####.###.#.#####.########....##.####.##...##.##.#...#.#.##.#.##.#..##...#.#.#....#####.###.......###.#.#######.##.##
#.#.#.###...##...##.##....##.##..#.#.#.#.....####.##.#.######.#.#............##.####.####.#.#######.#.##.....###.#####.....#####...##.###########.###.####.##.#.###...##..#######.##.......######.#.######.######.####.#............##########.#.##...###.......#.#.###.####.#.##.######...#.##...####.##..#.......##.##.######..###.#############.#..#.####.......#..##.##..##....####.##....#.###...##...###.##.##....#.##.####.....#....##..#########.###..##.##.#.#.#..###......###..##.#..##.#.####...##...######.....#.###......######.##..###.#######.#.#.#.#.##...##.#..###.##.###..##..##.##.###.#....##...#...##.##.####..###...#.##.######.#..##..######..##.##...##.#.######..#.#.###.......##..####.....#####.#.#.##.#..#.#......#....#.#####.......#..##.#.##.#........##.#.##....##.#..#.##..#.##.######..#..#########.###...##.#.#.#.##..#.#.#...#.#......##..#..#
#......####.#..#.##.#..##.#...##.#.#.#######.#.##..#####........######.###.#.##.##...###..###..........##.#.##.###..###.#.##.....###..#.........########....######..#..##.###......##.#.#####.##..###......##.....##.....#.#.#.####............#.#..#...##.#.#.#######....###########.#..#.#..##.##..#..##.##.####..###..##.#...###..............####........#####.#.##...##..#.#.##.....##.#.#.#...#....#...........#.##..###..#####.###.####.##........##..###.##.#.#.##.######.#.##..#####.##....#.##.#####.###.####.##.###...####.##.....##.##.....#####.###.#####..#..#.#####..#....#.######...#...###.##..##.##.###..##..#.####...#.#..#...##.#.#.####....#.#.#######.##..#......##.#.#...##.########....##.##...##......##.##.....##.#...########.###.#.####.##.#......#.#.#.#####.###########.###..#####......##.##..#.##..##...##.##....#.#....####.#.#.########..#.###.#
##.###.#.#....########..#####....#.#.#####......#.###.#..#####.##.#....##..#.##..##.##.############.#.##..#.#...###..##.###..###..#############.##...#.#.#.##....##.#######.###############......#######.####.#.#.##.#.###.#.#.#....#########.##.#####.##..#.###.#.#...##...#.#.###.....####.#######...###.######..########.#####...############.##.###.##.#.#.......###.####...#.##.##.#####.#.########.#.#.#.###.#.#.###.###.#####....#.##....##.#.##.####.#....#.#.###..#......#.#..##......####.......##...##........#.####.##.....#.#.#.#...##.#.##.....#......##.##.##.#.....####.##.#.#.#..#########..##..######.##..##......###.#.##.##.##....#....##.#..........##..##.#.#.#.##..#####..#.###.##.#.#.##...##.####.#.###..####.#.####.#.....#......#.#....######.##.#######...##...........##...##.#.#.#########..##......##..###...##.#.....#.##.###########.############
#####......#.###....######....##.#####.#.###.##.#.#.#.#.###.##......#.####.#..##....##..............#.#########.....##########.#.##.###.#.##.#.....#.....#####.#######.###.........#.##...########.......##...#.#..###.#...#######.##..........###......##.###.......#.##.#.........###..##...#.##.#.#.#..........##....#...##.####.#....................###########......#.##.#####.#...##...#.####.....#.###.###.###..####.........#.##.#..#.##..#..###..####.#####..##.###.#.###.#.######.#....#####.#.#..#.########.##.#....#..##.####.###.#.#..###..#.#.##.#.####.##.####.#.#.##....#.#.#.#.##.##.#..#.####.###.#.....##..##.#####.#.##..#..#.#.##.#.#####.###.###.#########.#.#####....##.##........#.#..##.##....####...##...####..##..##.####.####.#.##.#......###..##.#.##.#.##.#.#.#.#####..#.##........#....####..#.######...##.##..##.#.####......#.##.#........#.#..#
#...####.#.###.###.##...#..###########....#####.........#......##.#.#.####.#.######..##.##.##.#####.#...##...######..#.##.###..................##.#####.####....#.#.....#..#####.#...####..####....#.###..##.####.##...#.#.##.......#######.#.##...#.###########.##.########.#.##.######.##.#.#......#.###.############.###......#..##.####################.#.#.##.######...##.#...####.####.####....##.####...#...#...##.####.#.#.###.##.#.##..##.##...##........##..#####.###.#...#.##.....#.#.##.....#.##.###.........#.#.##.##.#....##.#...#.##..#####.#.#..#..#.#.##...######.###.#.................##....###.....#.#..####...##...###..##.##.#..###...##....#...#.........#.#.###...#.###..##.#.##.#####..#..##.#..##..#.##.###.###..#####.........###.####.###.#####......#######.#.###.....##.#.#..########.######..##....##..#.#...#.###.#...#..##.#........#####.##.#.##
#.#..###.#.##......####...####.###.#.####.......#.#########.#.##..#.#..##..###......#####..##.##....##.#####...#....##.#......##.#.#.#########.####.######.###.##.#####.#####.#####.##.###....##.#.#..##.##....#######.#.#..##.#.#.##.......#..##.#######.##.....##.#........#.##.###.#..##.#.##.###.#.#...##.............######.#.######......##.....##............#..####......#####..##.#..##..##..#.#....#.###.#.#.#....######..##.##.#.##.##...##.######.##.####..##.......##.##.##.#.#.#.#..###.#.#.#..####.##.#.#####.##.##.#.#.#######.####.##.....#.##.##...#..#.###.#.##.#.###.#.#.#.#.###.######.##..####.#.####....##.#####..###..#.##.##...#.#..##.###.#.##.#.#.######...###.#...#.#####.#......####.##..#.####.####.......##.....#.#.#.#.#####....#..##.....##.###.......#.#...###.#..###.##..###.#........##.##.#####.#####.##...###.#...#######.##.#...######....#
#.##.....#..##.#.#......####..........#.#######.#.#.........#####.#.#.##..##...####...####.##.###.#.##.#.#.###.####.#..#########.###.#.........#.#.........###.##..##...........##.........##....#.#.##..##.####...#.#####.#####.###..###.#.#.#####.#........#.#.#..#.#.#.#######.#.....###.#######..#.############.#####.#####....##.#.##.###..#####.#######.##.##.##...###.#.#..##.####....####.##.#####.###.##..#.#.##.#........###.##.#.#..##.#..#.##.....#.....##.##.###.###..#..##.#.#.#.#.##...#.#.#.##....##.#.###...#..#..#.#.####.#..##...######.#.#...##.#####.###..........#.#.#.#.#...#...##.#######....#####..#.##....##..##.#.##.#######.######...####.####.#......#.#...###.###..#.#####.#.#....#..##.#.##......##.##.#.#..#########.#####.###.###..##.##..#...#.###.###.#.###...##...#.###.......############...##..#.##...##.##...##.###....#..#.#.#....#...#.##
#####.#.##.##..#.##.#.#.#....##.##.##...........####.######.##....#.#.##.##..####...###.#######...#..###.#.#..........###..........#.#.####.####.#####.#.#.....##.##..########.##..###.#.###..#.##.#.###.##...##.#.........#.....##..##...#####.##....##.##########.#.#####.......#.###...#..##.....##.#..........#####.#.....####.#..#..###.##.#.#....#.#..#.####.....#..#..#.#.###......##.#....##....####...#..##.#.#####.#.###...#.##.####.####.##..##.#.##.#.###...#.##....##.##.#..#.#.#.#..###.#.#.#..#######.#...##.###.##.#.#..##..####..#.#......####.##......###.##.##.##.#####.#.###.#####.....#...#####.##....#######.##..##....##.#....##..#.#.###...####.####.##.######.##.....##.....#.###.#.#.##.##..#####.#.######..####.........#.........#...##..#..##.##.##..######.#...###..#.###.#...#.##.######.#.##.#.#####...###.##..##.#..#.....####.##.###.##...###..#
#.....#.#..##.##.#..###########..#..###.###############......####.#.#.##..##.#....#.#...#.##.#..#.#.##.......########.#.########.#.######...####.......#######.....##.##...###.###.#...#.#...##.######.#.##.###..##.#####.######.##.#####...###.#..#.##..##.........####.####.#.#.###...####..###.#..#######.####.#.......###...#####...###.........##.#.##...#.###.#.###...##.###.####.#.#..#.#.####.###....#.##.##.###.....#...##.##.##.##.###.#..##.##..#.####..###.######.####.##.######.###.##...#.###.##.......#.#..####...###.#.####.#....##.#.#.##..#.#####.#.#..##....##.#..##.##.###...##.###.##...###......##.#....####.##.##..##.##...#.####......##.#........##..#.....##..##.#.###.#.#...#####.####.#####.....#.....###..#.##.###.####.#.#.#.#.######.#####...#..##......####.##...##..####.#.#######..........#..##...#..##.###..#.##.#.#.#.####..#...#.##.#...##.#
####.##.#.##...####.#####.......#####...####.####.#.##..#.#.##....###..################........####.#####.#.##..........#.###.#..####.#...#.#....#.##.##.......#.#..######.#.......###.#.###.####.#.#.....#...#.############......#..#.###.##.....###########.##.##.##........#.#.#...#....#.##.####.###.....#......#######...#...#.##.##.####.#.#.###......###.#.###..###.##......##...#.#.####..##....#.##########.#####.#.#.####.#...#.##.......##...##.#..###.##....##....##...##.#......##...##.####...#..##.##.#.#.###.######..#.#......##.####.#.##.##.......#.##..##.#.#..##.....#.##..#......########.######..###.##..#.#######.###..#.###....##.###..###.#.##.####.##.#####..#####.##..###.#.....#....#.#.#####.#.##.##..##.##.#....#.##...#####.#..###.......##.######.##.#...##..##.####..##..#..#.##.#.#####.##.#.#####.#.#####...##.#..#.###....#.##.######.#.#..#.#
#....#..####.#.##...#.#...#####....######.......#.#....##.#.##.##...####..#.#.#.#..#.######.#.##.....##################.#.#.....###...#########.#############.##.##..##......###.###...#######.#......#.#.#.#####........#.####.######.....###.#.##...#####...##.##..#.###.##.#.#####.#.##.####..#.###.###.###########......#.#.#.......#.#.######.#...#.#.###.....#..##....##.#.###..#.#.#.##...####.#######.#.#....#.....###....####.####..####.#############....##.#.##.##..###..#.##.#.#..##.##....####.##.####..#.#.#....##.#..#######.#..###....#.#...#.##.#.##..##.##.####..##.##.#..##.#.#.##.....##.#.#.#....###...##.......##..#...##..#######....#.###..#..#.##.###......#.###.#...##..##.###.###.######.....#.###...#####.##...##.#..###...######...#.#.#####.......#..#.##.##..##.....##..#####...........#########...#.#..##...#.##.##.#...#.#.##.##.#.##.#####.##.#
#.#.###.##.#.###..#.#.###.#.....#.##..#...#.###.....#.##########..#.##.##.#...#.##.....##...#.####.###...###................#.###.###.#.##.####.#...###.......#...##..####.####..#####..##.......#.#.##.#.#.##.#######.#........##.#.###.###.#.#.####.#..#..#.#..##.#####..#..####....#..####.#.##.##..#.###.......#...##.#.#.#########.#.#.#..#########.###...#.#...###.#.##..#.#...##.#.#####.##.####..#....#.###.###.##.###.#####.#.#.#..##...........##.##..#.#####.##..##...##.#.#..####.##..##.###....#..#....##.#####.##....##.#.###.##.###.#######.####..#..##.#####..##..##...#.##..###.######.#........##.#.##..####.##.######.###..##.....#.#.######...###.#.....###.#.######....#.##.###...#######.#.##.#######...#.....#..##.###.##..##.#......##.##.#.....#.##.##.#.####...##..##.######.....##.#####.##...#.......#.###.#####.######..#############..........####.#
#####......###...####.....##.#.##..##...#####.##.#.##.##.........##.#..##.###......###....###..######..#..#..#.#####.#.#.##.#####..##.......#.#####.....####.##.#####......##...##.....##..#.###.#.#.#..#.#.#..#.##.######.##.####.#.#.#####.#####....##...##.##.#..#.#.#####.##...##.##.###..#..#.###.#.#####.#.#...#.#########.##.###.......##.##......###.#.#.###.##..####.####.#.##.#.#.........####.####.......##..##.#....##.......#######.#.#.#####.....##..##....#.##..#.#..#######...##.###.##..##.##############......##.##.......##...#####.#.#..##..##.#####.#...##..###.###..##..##.....#####.##.#.##..#####.##....#......###...##..#.###.......##.#..##.##.##...#.#.#.##.##.#.###....##.####.##.....#.###...##.##.##.##.##....#####..#.#.#.#.######.#.#.###.#...#####..##.##..###.....##.#.####.....#..#.#...##########.....##....####..###.#.##.#.#########.###.###
##.####.#.######.#....########..######.##........#.##..#.#####.#..####....#####.##.#...##..##.##..#.#####...##########.###..###.##.##.#####....#.###.#.##....#...##.##.#.#..##.##..#.#.##.####...#.####.#.####.#.#.........#..#....#.#..#.....#.#####....#..#######.#.........##.#########.##...##.#.#...#.#.######.####...#.#......#.#####.#....#########...#####....##.##.....####..###.#.##.######.##.#####.###.####.######.#######.#..##.....###.##..###.#.##.##..#.##.###.####.##......#.##.#....##..#.#...#####.#....#.#.#####..##.#.##..#.###.......####.##.##......#..##...#...#.##..###.#.###.#.#..#.#..##...##...##.#.###.#.##...#..####.#####.########.##..##..##.##.#.......#.#..##.#.##..##.#....#.#.#...#.######...#..#..##.#...##..####.###......###.#######.#.##.##.#######...##.#.##..#.#....#.###.##.###......#.#.##.#.######....##....................#......##
#.......#.#......###.##........##....#######.##.######.####....##.##.##.#.#......####.##..###..##.#.######.##......########.#....#.#####.#####.......###..##.#.###.....###.##..##.##.#..#.##...#######..#..##......#.##.##.##.#.##...##...#.#.........#.###..##.#...#.#.#.#.#.##.##.######..#.#.#..#.###.#....#.#.###.####.#.######.........##.#...##.#.#..###..#..#.##...##.####....###########.#.#.....#..##.##.....###.#.##....###..#.##..#.#..##..##.....####..##.#..#..####.....###.#.#########.##########.#.....##.#.#.#.#..#..###.#.###.###...##.#.##....##..#.##.###.####.##.###.###.##..#.###...#.####.###.###..#..#.#...#.#.####.##....#...##....#.#.######..#.#####..#.###.#########.#..#.###.#.####.#...#....#.####.########..###..##...#######.#####.......##..#............###.##..#####.#.##.#.#...#..#...###.##.....##.###..######..##.#.#.#.#########.#.####.#..#
####.#.###########...#..##.#.#.###.#.....#####...##....##...#######.....#...#.#.##....###...#####......#.###..#.##....#.....#.##.#.#.##..#.##..#.#.#.####.#..#...##.##.#...#..#####..##.###..####.#....###..##.#.#.#################....#.#.#.#.#####.#.#.#.##....#.###.#.#.#..###....##.##.###.##.#.##..####............#....#...###.###.#.##.###........#####.#.##..##.##.....##.#....##.........#####.##.#..##.#.#.#........####...####..##.#.##..##..###..##..#####.###..#####.#.#...#..##.......##.##.#.#....###....#.######...##...#.#...###.###..#..#######.##.##..##..#.#.##.##..#...##.##.....######...##....##.##.#.###.###.#....##.##.#.#.###.###....##....##.#.####.#..##.......#.#.#.##...#.#....#.#####.####.........#.#.#########..#.......#....####.##.####.#.###.########.###..####.#.#.##.#.##.##.##.#...#.##.#.####..###...####.###.#.#.#.......###############
#....###.#.#..#.#..#############.#.###.#.......#..##.#####.#####.#####.##.#.#.#####.#.#.##.###.#..#.##.......########.#########......###.#.#####.#.#.#....##.##.########.#.#.##..#########..##....######.####..#######.#.##.###..##..##.#.#####.#.....#.#....####.###...###.#########.#.....##.....#.##.##....##########.####...####..#...#..####..##.###.##......#..##..####.#######.#..#######.#.......##.##.##.#.#.#.#.#.#.##....#.#.###.##.#..##..##.##..##..###.....#####.#...####.##.######.##.#.........####...##.####.#...#..##.####.###...#...###...##.....###..##..##...##..#####.###..##.##..#.#.#####..##..###..#.#.....###.##.##.##.#.#.#.......#######.###.....##.#.##..##.####.#.#..###.....#.##.....#...##.#.##.##...........#.##.###.#.########..#..#....###.#######........#.###.#...######..#.##.##.#.#####..#....##..#..#....####..#.###.###.#...##..........#
##.####..#.##.#.##.##.##..#.##...#.#...######.###.#..##....#...........#..#.#....##.###.####.....##..##.#########.#.#.#.##.#.#..####.#...........###.##.#..####.#........###..##....#......######.#.####.##.#####.........#.#.##....###.#.##....##.##.###.##.#.....####.##..##.#.#.#....#.#..#####.......######..........#.#..#.#.#..####.#####.##.####...####.##.##..##.#.....#.#....#####.####.#.#####.#......#########.###..#.##.#.....######.##..#######..##.##..##.##.......#....###..##.....########.#.###....#.#...##....#.####..#....##..#.#.#..##.###..#.#...##.#..#####.##.##.....##..###..##.....#.#######.##...##.##.##.##..##.##.##.#.###.###.#..##.#.#...#.#.#.##.#.###.##......#.##...#.##.#######.#.#####..#.#...###.#.#.#.#...##...#.#.##.######.####.######.........#.#.##.#.#...###.##.....#####.####....##.##.##..##...##.####....##.##....#.#.#....##.#.#.#.#
#..##.##...........#.....##..###.###.#.#.......##.##.#..##.##.#.#.#.#.###.#.#.#.##..#........#.##########...#.#.........#..#...##......#.##.##.#...######.##....#######.##...######...#.##.##.###.........#..##.####.#.##...#.###.#.#...#.#####.##.#..##..#..####.##.....##.#........#.##.##...#.######.####....######.#.....##.....###....##.......#######.#...#.###.##.#.#.#...#.#.##..........#.#.......#.#.###...#.####...########.#####...###..###.#.#..###..##.#..####.##.###.###...######.##........##########.##.###.##.#.##.##.##.#.###.###.#.##..##..#####.##..##.##....######.##..##...#.##..#####...###.######..#.#..##..#.##...#.##.#.##...##.##......#.#.#.#.#..###..##..#.###.##..##.####..#.#.#####.....##.#.##.###..#.###.#.#..#########............#......##.#.##.###.#..#.#...#.#....###.#.....#....##.#..###...######.##....##.#.##..####.####.#.##..#########
##.#.....##.###.#.##.#.#..#.##....#########.#.##..#..#.########.###.###.#.###.#.#####.#.##.#.####.#..#.##.#.....#######.##...#######.#.####..###.#####.#..##.##.#.......######.###########.#......##.####.##.##......#.#..#.......#.##.####.#...##.#.######.##.....#.##.##..#.#.#.#.##########...#.......#.#######.....####.##..#.###.##.#####.#.#.##..###....###.#....#.#.#.#.###.######.###.#.#####.##.#.#.###.###.#.#.#..#.......##.......#...#.##.......##...##..####....#..##....###..#.#####..#.##.#.##.........#..#...#..#.....######.#.###...#####..##.#.##..###.##..####....##...##..##.##..##.......###.#.###.##.##.##..##.###..#.#.##.#.#..#.##.##.#.#.##.#####.##...#.##..##.##...#.##....###........###.##..#.####...##.#..##.#.##.####.#.#..###.##.######.##########....#.######.########..##.#.##.###.#.##.#.######..###....####..#.#.###....#...##.#..#####.#.#..#
#####.##.##.#...#########...#####.#.#.#.....#..#####.#.#.###....######.....##.###.#######..#####..##.#.###########.........####.###..###....##...##......###.#..###.#.#.#..............#.####.##.##..#..........##.#.#######.##.#.####.##.....#.#..#..##.....##.#.#####.#############.#.##.#.###.######.##.#...#.########...###.#.#......#.....#.#####...#.##.##..###.####.#.#..##.##.....##..##############.##............##.#.#.###..##.##.#.###########.###.#..####....#.###.##.#.###..##.......##.##.#..####.###.##.##.#.####.#.#....##..#.....#.##....##.....##..##.#..###...##.####.##.##...##..##.####............###..###..#.##..####.#######.####.#..#####......####.#.####.###..##.######.#..##.##.#.#...####.####....###..#.###.#..#..........######.......#..........##.#.#......#......##..##..#.##.#.######.#.....##.##.##.#.#..#.####...####.##.###.##...........##
#.#.#.##..#.##.##.......###.#.###.#.#.#####.#.###....#.#.#.#.#.##.###..##.##..##..#.##....####.#.##......#.........#.##.##.#........##...##..#.#########...####.##..#.#.##.##.#.#.##.#........##.###.###.#.#.##..###.#.......######....######.#.##.##..##.##.##.#..##....##....#.#.#..............##.#..#..###.#.##..##.#####.#####.##.#.#######.##....#...##..##.#...##...#.#.#####..#.#.#..###.#.#.........#####.##.##.#.##.#####...##..##.####.#..........#.##..##..##.###...#..#.#...########.##..##.#.##.####....#.#..#.#....########..##.#.#.#..####.#..##.####..#.#.##...#..#..##..##..##.####.##....#.#.##.#.#.########.##.#####..###.....##...##..##.....#.##.####...#....#...##.##....##..#.###.####.##.###.#..######...######.###.##.##.###.#......##.########.#.#.####..######.#.#.####..##..##.#.##...##.#.###.##.##......#.#...##...##.#....####.#.#..##.#.##.######
#.#...##.##..######.#.#.........#...........#...#.##.#.#.#.#.####.#...##...######.#..###.###.#.#.#######.################..#.##.#####..#.##.#####........#...######.###.##.#..#.###..########.##...####..###.###.#...##.###.##......#.##......###..######..###..##..########.#.......#.##########.##.##.#.##........###..##....#.####..#.#.......###.#.##.##..#######.##.#.#.#....##########.##......#.##.#.##.....##..###.##..##...#..####...##..########.#######..##.##...###.##.#.###.##.......##.##..####...##.#######.######....##....##..#.#.#.##....##..#...##.##.#..###.#.#####..####.##.##.###..##.#####..#.#.....##....#..##.#.##...#.####.#..##.##.#.######....##.###.#.#.######..#.####.#.##....#####.#...####...###.##.#.#..##...#..#...###.#.####.........#####..#######.#############..####..###..#........######..#.####.##.##########.#.####....#######.##..##..#
#...###..###.#......####.#.##.#...#.##.#.####.###.#..#.#.....#......#..#.#####......#######..............#.##.#.#..##.#...####..#.....##..###.#.#######.####.#......##..#..##.########.........##.##....######...#.#######...##.###.#.##.#.##...##..###...###..##..##......####.#########......##.....#....########...##.#####.#..###.####.###.#.#...#.#...#####......##.#.#.#.####.##.......###.##.##.#..#.#####.####.##..#..##..#.##....##.####.....##......##...#######.##...#..#.#####..#####..#####.#....#.........######.##.##..###.####.#.#.#.###.###..###.##..####.##...#.....##....###......###.##.....#.####.#.#.##.##...##....##.#####....##.##.##.#....#.###.##....#.#.#...#.###.###.#..#..##.#...#.#...#...#..###.#........#####.#.##.###...####...#####.#######.##.#.#.........##...###.###..#####.#.#.####......##.#...##.##..#.##..##..#.##...##.......#..##....##
###..##.##.#######.##....#.#..##.##..###.#....######.#.####.###.#.#.#.######.######..#.##.#.########.###........#.##..###..####.#.#.#..##.#........##.....##.##.##.##..###..#.#...#....##.##.#.#..###.#.#......######.##.#.#.####...#.####..##.##..##...###.#.###########.##....#.....#.####.#....###.####.#.#.##...#..#.#.#.#.##.#...##...#...#.#.###.#.#####.###.#####.#.#.######....##.##.#.#.#..#####.#.#.....##...######.###.#..##.#..###.##.#.#..###.#####.#....##.#.####.##.###.########...###....#.#.##.##.#.####.#.....#..#.##...#.####.#.#.#.###...##....##....#.######.##.##..##...####.#..##.##.#######.#..#.########.######..#.....####..#..#.#..#.##....######.#.#.####.##.#.#...#.####.##..#.#...#.#.#.#...##.....###.##...###.#..#.###.#....###.....###.#.#.#.##.....#.#######..#..##...##.....###.################.#..#####......##..#######..#.#############.###
##..##..#...#.##...#..#######.#..#..###..##.#...#########################.......####.#.#..###........##..###.##....##.#...##....###.#.##..#.#.#.##....#.#######..#######...######.#.##..#.##.#.##...##########.##.##.......###.#..#.#..##..##..###..##.####.####.###.#.#...##########.#.###..###.###............##.###.....#.#......#..###.##.##.###...###...........##..###.##...###.########.####...##..#.##.##..##.##.......##.#.##..#.##......####.....##..#.#.#.###...#....##.##...........#...##.###.#..########.#....#.#...##..##.##.#.##.###....####.##.#.####.#.#..###....#####..#.###....##..###..........##.#...#.##.......##.##.#.#..##..##.#####.###..####.##.#.#.#..#.#......###......#.###.#.##.##########..###.#...###..###.###.##...#.#.#.###..######......####.#.#.#....##...##.####.##..#.###....#....#.#......#.######.###.######...##....##..#####.#.########
#..########.#....#.#.##...######.####.#.#####.###.#.#.#...##.#.#.#.#.#.#..###.#......#.##..###.##.#.########.#..##......###..#.##...#.###.###.#..##.#.#...#.#...###......#.#.#.......##.#..#.#.#..####.##......#.....#.#.#.#...######.####..##.#...##..#.....#.#.#.....###.#.###...#....#.########.##.###.##.##.#..#...#.#.#.#.#.#.##.###...###..####.####.######.##..##..#######.....##.##.#...##..#.#..##.#..###..########.#.##.#..##.######.#.##....#.#....##.#.#.#...#.#######..###.#.#####.##.#######.##.##....##.###.##.##.###.##..##.......##.##.#.##..#.#..#.#.#.##.#.##.#.##.#..##..#####..##...##.#.#.#.###..#.###.#..#.#.#.#..#..#.##..##..#..##.....##...#...#.######.#...#.##...#.#.#.####...#.#....#.#.#.#########.#...##......##.####.#.#.#...##........#.#.###...########..#.####....#..####...##.#...####...##.######.#.#.###......#.#..##.#..##..........#....##
##..##....#.#############..#.##..#.......#.##.##......###................##...#.#.##......##.#..#####.###....##..####.#...##.######.###...#...#.#####.#.###...###.######.###...##.#.##..#.###########...######.#.#.#.#########.....#....##.##..###..########...#.###.#...#.#.#.###.####.#.#.##.###.#..#...#..#....##.#####.....###.##...######..##....##.#.#.......##.##.##...#.#.#.#.##......#....####.##..####.#.##..#.#...#..#.#.##...#.#...#.###.###.##.######.#.##.##.#.......###..###.....#..##......#...####......#..#.##.##...##.###.#.#.##..#.....##.###.##...#.##.#....#....#.####.....##..##.##..#####...#.##.....##.########.#.##.#####..###.###.##.####...###.####.#.##.##..##.##.#.#.##...#.#.##.#.............##..#.#.##.##.####...########.#..##.#########.....#..#.#..#####....####.########.##..#.#...##.######............##.#####.####..##..##.###.#.#...##..#
##.##..##.....#.#.#.#..###......##.#.#.#.#....##.####.#.#########.#.##.#..#.#.######.####......###.##.#...#.######....##.##..##.....##..##########.##.#...#.#.#....#.#########.#..#########.#.#.#.....#....##..########.#.#.######...#.##...####...##........#....######.#...........................#######.#.#.#######...###.###.######.#.#..######.#....##.#.#.###.##..#.#.....###..####.#.##.#.#....##.##.......##.....#.#.##.#..##.##.#.#.#.#...##..##....##..#.##.#####.##.#...#######.#.###..###.#.########..#.##...##.#..###.#####...#.#.###.#.###.##...#..##.#######.##.#.##.####.##.#.###.##...##.....#.#.#..##.#.##.......#.#.#.##.....##.#.###.#..#....#.#.......#..#.##..##.####..#.#.####.###.##.##.###.#.##.###..##.######...#.#####.#....#.#.##..........#####.##.....##.....##..######.#..##.###.#.##.##...#..###.######.##.########..####.#..###..##.#.#.#####.#
#...#########.#.#.#.##.....####.######.#.##.#..###..........#.....#.##.##.######.#...#####.#.#.#........#.#.#....####..#.#######.#.##..####...........#.#.######.#......##.#...##.##.#.#.##.......#.####.#..#.##..#.#..........#...#.#..##.##.####..######.####.#...#.#....#.####.#.#.#.#.##.#.#.#.#..##.....#.####.##.#.#..##.#....##........####....###.#####.###....#.##.##.#.##...###...#.#..#.#.##..#.##.#.#.#..##.#.####.##.##.##....###########..##..#####.##..###.##..#..#####.......####..##...#.#.##.#.#.####..#..#.##..##..##...#.#.#..##.#..##..#.###.##....##.##..###..####.#.##.#...#..##.###.#.#.###.#####.#####.######...#.#..########.......##.#.##.#.#.##.##.####..##.....####.#....#######..#....#####....##.#.......#.#...........#.####..##.#.#.#.#...##..####.#..#.#########.##.#.#.##...##.#.##....###.##.#.#....####........##....#.##...##..#.#.#.....###
#####.##........#....#####.##...#.#....#..#################...#.#.######..##.......#.#.....###.#####.##.#.####.###....####.#.....#..#.##..###########.#.#.##.....#.##.#....##.#####......####.#.######.###.######.#.##.###.###...#.#.##..#.##......##..#.####.#####.....#.####....#######.##########.##..#.#.#.#.........##.####.##.##.########.#..##.##..#.....##..##.#..##########.##.#.#.####.#.#..##.#.#..#.#.##.#..#..##..##.##.#..#.###...#.##...####.....#.#..##......###.....###.##.###.##..#.#.#.#.........####.#.######..##..##.####.####..#.##..##...#.#..##.#.....#####........##.#.#.#.###...#.###..##.##.#...##........##.##.##........####.#.##..#.#########.......##..##.##...##.##.####....#.###.#.....##.#..####.#.####.#.#.###.#.#.#######.##.#.###########....#.##...###.#.#.#..#......#####..#..##.#...#.##.#.#.#####.##.#.#######.#.#####.##..##.#####.#..##
###......#.##.#...##........##.##.###.###..##...............#.#.#..##....##..####.##.#.#.#...######..##.#.##.......#.##......##.###.#..##..#.##.......#.#.##.##.####..####.#####.#####.#...####.###....#.....#.#.......##..####.##.#.##.##.#..#.#.####...##....#.########.#.#..#.##.......#..........###.###.####.###.##.##.#....##.#..#..........###.##.##.#.#..##..#.##..##.##.....##...#.#....#.#.##..#.#.##.#.#..##.#.####.##.##.##.###.###....######...##.#####..##.#.#.#.##.####...#..#......######.########.##.##.#.##.....##########......##.#..####..######..#.#####.##....##.###.####.#.#...##.##...#.#####....#..##.#######..##.#..#.#.#.##....#####.#.........#.#.##.####.##..#.#..#.#.......#.####.#.#.#########..##..#.####.#.#...#.#.#....#.####..#......#.#.##.#.####..###.#.....#.##.##.#.....##.#######.#............##...###.....#.#.#..##....#.##....###.##..#
#...#.#.####..##.##..#.##.#.####........####..###.#.##.##.#.#.####.##.##..##.##....#.#####.#####..#########..#.#.#.#.###.#.#.##..##.#.####......#.##.##.####.##..####.###..#......##.#.###.#.####.####.#####.#.####.##.#..##.....###.##..#.##.#####....#..####....###..####...######################.#...#...#....#....###..##.#..####.#.#.#.##.#.#.###...######.##.##..##.#.....###..###.#.####.#.#######.###..###.###.#...##..#.#####..##.....##........###....##..##..###.#.#####.##.##.#######..##.####.....#####.#..#.######......##....#.#.###.##...###...##.#.######...#..#.##....###.##.###.###...#.###.....##.#.##.##.......##..####.###########..#.##.##.##########..#.##....#.##.#.#####.#.#.####.##...#.....#.#.#.####.#....#.#.#.###.#.####.....###.####.#.#...####...###.......##.##.#...###.##.##......###.###.##.#####....#..##.#.#...####..##.###..##.#.#....##.#
#.#.###########...##.###..#.#.##.####.###....##...###########.###..#..#..###..###.####......##.##.####.#.#..####.#.#.#...#.####.########.##.##.##.#..#...##..#..##....#.##.######.#....#.......##.##.............##..####.#..#.#...#..##.#.##.##.#####.##....####...##.#.######.#.##...###.##........##.####.###.####.##...#####.##....#.#.#.#..#.#.....####.#.#.#####.##..##########..##.#.#....#####.#...####.##..#...##.####.###.....####.#####.#.#.##...###.########.#####.......########......###....#####.........##.#......##.#.###.#.#.###.###..###...#.##.....##.###.##.######.###......##.####.##..##.###.####.##..##.#.#.##..##........##..####....####.###.#.#.###.#..####.###..#...#.#.###.#.#...###.#.#####...#.##...#.#.######...###....##.##.#......#.#...#...##.#...#.#.#.####......############.##.##....##..#...###.#.###########.####..##....#####.#.#.#.###.#
#.######.#.#.###.##..##..##.#....##.....####..###.###.#.##......##.####.##.########.#####.###..........#...##....#.#####.###....##.#.#.#.#..##.#..##.#.#..##.######.#.#.....###.....#.##.#####.##.#..#.##.#.#.##....###.####.#.#.#.#########..#.........##.#..#...#................###........####.####.##...##..#....##.#.##.....###.##.######.#.#.##.##........#...####.##..........###.#.##.#.###...##.##....##.###.#####..#..####.#..#.#####...#.#.#..#...#....##....#.....###.#..##.##...#.#.##.###.####...##.#.#.##..#.#.##..#.###...#.#.......#.#####.##..###.#.##.....##.##.###...##.#.#.##....#.##.#####...#....##.##..#.#..##..####.##.####......##.###............####.##....###.#.#.#....##.....#...#.#...#...#######.##.#.....##.####..#.########.#.##.#.#.#.#.###..#.#####.#....##.###..........##...###..#.####.#.#...#.#...##.##.##.....##.###.#.....###.#.#...#.#
#.###.#...........##..##.#..#.##.##.#.###....######........#.##.#...##..#..##.#.##........#...#####.##.##.##..##.#.#.....##..##.##.....#...##..##..###.####...##.#..####.##...###.#.#.#####.........##.##.#.#.#..#####.......#.#.#####....#######.#.#.#######.#######.###.##.##.#.##...#.#.#.##....#....####..##.##.###..#####.##.#...##.##.#.#.#.#.#..##.#.#.##...####.#####.#.#.#.#.#...#..#####.###.#...####..#.#...##..##.#.##....#.##.....###.#.###.###.##.##..##.#.##.##.#...##.......#.#.###....#.##.#.#..#####..#.####.#..########.#.##.#.##.####.....######.#..###.#.#.......#.#.##.#.#.#..#.#####...##..#.#.#.###..##.#.##.##.###....###..##.#.#..#...#####.##.#######..#######.#.#.###.####..#.#.##.##.#.#...#.#.##.##..#.#.###.##....####..#.##.####.#..#.#.#.#..###.#...#####.#.##...####.#.#.##..#.######.#.##...#.#.#####.#........##########.#.###########.##.####
#.#...####.#.#.##.##.##########..##.#.##..##.##.....#.##.#.#.#..#.########.......########.#######.###......##.##.####.#.###########.##...#..######.#...##...###..##.##.###..#.....#####.#...##.####.#..####.#.##.#.....#.##.##.#..##.####.#.###...#.#######........##.#...#...###....###.#.#..####.######.#####...#...##..##...##.###..####.....###.##.##.#.#.#..#..#...##.##.#.#.#.####.##.###.....#....#.##...##.#.#..#.##....##.##.#####.##.#...####...#####..##.####.##.#..###.######.#.###.###.##........####.....##...##.##.##...#...#..#.#.#.....##.##..#.#.#.##.##..####.#.#.####.##.#.####.#..###..#..##.#.#.#...##..#.#.##.#..#.###.###..##..###.##.#...##..##..##.#.####.......#.#..##.###..##.#.#...#.####.##......##.####...####.####..##.........#.##.#.#.#.####.###.#.....#.#.##.#....#.#######.#...#.#..#..###.#.#.....#.##.#.#.#.....#.#.##.#..#....#..##..#....#
#####.##...#.#.#...####.#.##.###..###.##.##...##########.#.#.#.##.##..#....#####.#...####.#........#..#.#.######..##..#.######.##.###########....#.###..###.####....#...###.#####.##....###.######..##.#....#.#..##.##.###..##.#.###.#..#...#.###.###...##..######....##.##.#######.####.###.##....######.#.#.#.#.###.###..###..#.##..##....#.#...#.#..#..#.###.###...#.#.....########...##.##..#.#...#.##.###.###.#.##....####.####...##.####...#.##...#.....##.##.#....#..##.#...#......###...#...###.#.#.#...####.#.#..#.#...####.#...#.##.###.#.#.########.....#.##.###..##..#.#....#..#.####.#.##...#####..#.###.#.####.####.#..#.##.....#...####.#....#.#.#..##..##..#.....###.########.##....#.##..#.#.###...##.##.#.#####.##...#....#......##..##############.###........###.############.#.##......#####.##...##.###..#.##.#.####..#.###.###........##...#.##.###.#####.#
#......###.#.#.##.##.............###...#.###.####........#.#.#.#..###.####.#.......#....#.######.#...##.#..##....##..##..##...........#...######...##..##......##.#.###...####....#####.....#......##..#.##.####.#..##.##..###.###...##.###.#.#.######.##..##....####.#..##.##......##...#####..##.#............#...###...##...##.#..####.#.###.######.##.###...##..#########.##.#.#...#..#.###.####.##..###.....#.#####.#....###.#..#.##......#.###..#.##.##.##..#.#.#.##########.#.#.#.##...###.#.#...#.####.##....###.#####.##....##.##..#..####.#.#........#.#.###..#.#.####.#.#.####.##..##.....#.#...##..##.##..#....#....#.#.##..###.#...####.####.###.#.##..##..##...#.###..........#.##.#.##.###.#.#.#...#.#...###.....#.####.#.##.#.##.#..##........#.##.####...#.##.#.##......##.#.#####..##.#####.#.#..#.#..#.#...#####.#....#.##..########.##.#.##.#####....#.....###
######.#####.############.#.#.#.##...###.#.####.#######.##.#.#.####.#.##.############.#...#......#.#.##.####..#.####.###..##.###.####...#...##.###.###..################.##....#.##.....##.###.#.#.##.##.##.##...#.##...##...#######.#..........##..#..#..######......##.#..##########.#.#.##..############.#.#.##.###..#.##.#..#.##.#.##.#.#...##.######...##.####...##......#......###.####...#..#.##.##...#.#######...###.##.....##..######.#...##.#.#..######.#.#####.##.##.##.#.#.#..#####...#.###.#.###...##.#.##..#.#.#..####.#..#..###..##..###.#.#.#.##.#...####....#.#.#.#....#.###..#.#.#.#.###..#.#######.###.##.#.##########...#.#......##.....#.#..##..#.##..#####.#.############..#..#...#####.##.##.#.#...##.#.##..##..#.####..#.##.#######.#....#....##.##..#######.#.#.........###..#.........#.####.######..##...##.#.#######......######.##....###.####.#.####
##.###.#..######.##.###.#.#.#.###..#...#.#.......#.#.##..#.########.......#...#.......#.#####.####.#.##.#....##.##....#####..##..#....###.#..#...###.#####.#..##..###..#..####.#..#####.#..#.#.#.#..###..##.#..#.####.#####.##.........##.#.#.#..##.##...##..####.#.#..######.###......###....###..########.#.#.##.##..#######.####..#....#####.....##....#.##.##...#.##.#.#.######.###...########.#.##..#####..#.##...#..#######.#.##.##......##.##..#.##......#.####.#..#........#.#.####################...#.##.#.###.#.....####..#.###...##..##.##..#.#.#..###.#####..#.##...#.#.####..##.##.#.#.#..##.#####.#......####.#..##........#.#.##.########.#.#.##.##.##..##....##.#.#......##..####.####..#.##..#.####.##.#####.#..##..##....#.#####.......#.##.#...##.##..##.##.#.##.#.##.#.#.##...#.###.#####.##...##...##...####.##..#..#.##.#.#######.#######.#.......##.#....#
#..#.#.##.#.##............########.##.########.#........#####.##..###.###...#...##########....###..#..######.#...#.####.#.#.####.#.#.#######...###....#.#..##..#.##.##.#.#####.#####.#..##.#...#########.#####.#.#.....##....#.#.####.###.######.#.....#.###......###.###.#.....#####.##########..##........#.#..#..##.#.......#.########.##....######.#.##.##.##.#.######.#.#.#....##..###.#.###....##.##.....##....###.##.##.#..#.##.######.###.##.##.#..#.#.####....##.###.##.###.#.###......##..........#.####.#.#...###.#.#..##.#.##..###..##...##.#.###.###...##...##.####.###.#######...###.#.####....#.#.###.##....#.######.#.#.#.#.#..#..##.##...#.#..#..#.#####..##........#.#####.##.####.###...##.##....#.##.....#.#.####.#..######.#.##.#.#.#####.#.#..###..##........#.#..#.#.#..##.####.#..#.######.###.#.####....#..##.##....................##..##.##.#..####.#.#
##........#..#######.#.#.##......###...##...#########.#.#.#....##.....#...#.##.###.#.#.#.#.####.##.####......#.#.#.#..........##.#####..#..###.#.####.#.#.####...#..#.....#.....##.#.#######.#.##.#.#.....##...#.#.#.###..#.##.###....#...#........###.#.#.##.##.##...#...#####.###...##.#####.##....#.##.###.##.####..#######.#......##...####....##..#.####..##.#.#...#..#.#...#.####.#.....#...##.##..###.#####.#####.##......##.##.#........######..##.#.#.#..##.#........##...#.#.#.####.#....####.#.#.#..##..#####.#...#...###.#####...##.##.#..###...#.#...#..#.#.####......#......####..##.#...###.#.#.#.######.#.##.....##.#.#.#.#.####.##.....#.#.##.##.#..##...#######.#.##...#.#...........##.##..##.#.#####.#.#####.##.#.##.....#.....###.###.#.#.#.##...##.#..##.#.#.#.#.##.#.#.###......##.......##.##..###.##.#######..#..##.###.#.#############.##..#.#.###.#.#.#
###.###.#...##.......#.#..#.##.#.....#.##.#..###......#.#.####.##.##.###.#######...........#.......#######.#.#.#.#.#.#.#.#.#.##..######.##.#...#.#.#..#.#.#.####.##.#.#.#...#.###.....###.#..###......#.####.#######.#.####..#.##..#####.####.#.#.######.#..############.##.#.#.#.###.#...........#.####....#.####....##.......##.###....####...#.####.###....#####.#.#...######.#...########.##.###..##.#....##.###.....#..##.#.##.#########.#####..####..###...##..##.#.##.##..#######.##.####.#.##...#.#.#.##..####...##.##.###.####....#..#..#.#.##...#.###.#.#.####..##..#.##.##.#.#....##.##.#.#..##.#........##..#.##.#.###..#.###.#.###...###.#.#.#.#..##.#.#####...#######..#.#.....###########..#..##..#.....#.#...######...##.#.#...#######.......###.##########..#.#.###.#..###.#...#.####..#.#.#.#..#####..##.........###.#.##....#.###......###.##.##.##.#...#.###.#
#.#########..####.##.#.#.####..#.#.#.#..####.....##.#.#.#.#.#.....##...###.#.######.#.#.#.###.##.#.#.....#######.#.#.#.###.#.#####.#.......###.....##.......#.#..#....#.##.####.#####.#.....######.#.##....###.......#......######.#.....##...###.#...#####...........................#########.#.#.#....#.##..##..##.#######.#######.#.##..###.###.....##.##..##...#####.#.##...#.###.#.#.........####..###.##......##.###..#.#.#....##............##....##...#..#########...##..#.#.#......#.#.#..##.####.#.#####....#.##..#...#.##.###.###.#.##.#..##.##.#...#.#.##...######.##.##.###.##.##.##.#.#.##..###.######..##..#.#...##.#...###.#...#.############.##.###..##.#.......##.#.##.##..#.#.#.#..########.##.#.#####.###......#.##.#####.......##.#.########.##.#.####.###...###.##...#####....##.#.#.#.##..##...####.#.##.#...#.#..###.######.###.##....######..#.#.....###
#.....##.###......##.#.#...#########.#####...#.#..#######.....###..##.##...#.#.#.##.#.#####.########.#.#..####...#.#.####..###.......##.##..#..###.###.#.##...##...##.#..###.#...#.#....##.##......####.###########.####.##..##.#####.#####.#.#...###.#.#.###.#.###.#####.#.##.##.##.##..#......#.#.##.#.#..#.####.##.#.........###...#.###.#...###.#.###...##..#.#.#..##.#..###.#..##.....###.##.##....##....#.###.##....##.#.####.#..####.#.#.##.#####.####.###.###.......#.#..##.....#.##.....##.#..#....#.....##########.#.###..........#.#.##.#.##...#.#.#.#.#.######.#....##..#..##..###..##.#.#.###...#......##.#..##.#.#..####.###..##.##...##....##...##..##.##..##.###############.##.....#.##.#.##.####.####.####.####.#.#.##..####.#.#.#..#.#................##...##.#####.##.#.....###.#####.###.###.#..#.##...#..#.##.#######..........#.####.##......#.##.#.#.#.###
#.#.#........#.#.##..#######.##.#.####..#..#.#.##.#.......#.##############.#........###..............####..#...#.###.#..##.############.###...###......#..###....#.##.######...#...#.##.##.#..###.####....##.........##..#..###.#.#.###...###.#.#.#.......########..##.##.#.#..#########...##.###.####.#.#.##.##...#..#####.##.##...#####.#.###.#.#####...#.###.###.##....##.....#.##..#.#####.##..##.#..###.####....#.#.##..###....##.#....#.#..###.....##...##..#...#.##.##.##..####.#####.#.#..####.##.#.##.####.###......###...##.#.#.#.#.#..###.##.#.#.#.#.#####......##.#..#.##.##..###..###.#.#...##.#########..#######.##..#.#...#####.##.###..#######..##..#.###.#.........#...##......#.#....#.#.#...##...##...###.##...#.#####..#.#######.##.#.##.##.#.#.#.#.##..###......#.##.###.#...#.#.##....#...#.#.##.##.###.##.##..##.####.#.##.##....##...#.###.##..#.#.#.#...#
#.###.#.#.##.###..##.##.##.#.......####...##.##########.#.###....###.###.#.###.##.#..###.####.#.###.##..##...#.#..#####....#..............##.##...#.##.#######.#.#########...#.###.#..###..#####..#....#######.##.#.####.##.##....#..####.##..#####.#####......#.#.##.....#.##..###....#.#..####..##...###.##..##.###.#..##..#####.##..............#..###.###...###..##.#.#..#.#.#.#..##.#......#.#####.###..##...##.#######..#####..####.#.####...####.##..#..######.#.#...#.##.########....###.##....##.#.#...##......####.####.##..#.###.#.##.##...#.#.#.#.####.##.#.##....##.#.##..##...#.###..#.#.###..........##...##.##.##.##...#.#.....##...#.##.#.##..####.....####.###.##...####.#.#########.......#..#.#....#......#.#.#...#.##.........####.#.####..#.#####..##...##.#.#####....#.#.###....##.#.#.#.###.##.##.##..##..##......##.#..###..####..#.#...#######.#.####.##
#.##..###.#....########.##.#######...##.#.##.##.........#.##..##......#........##.##..#######.#####..##.####.####..###..#.###.##.##.#.#.###...###.###..##......#..##.......#.###.....####.#####..##.##..###..######..#.##########.##......#####..#####....####...####.##.#####.##.####...#.##....#####..##..############....####....###.####.#.#.#...###..##..#...#.##########.#.#.##..###.##.#.###.....##..#####.##.##.#.#..##.....##....#..##..###.##..##.##..##.######.#####..##.......##.#....####.##.####.##..#.####.......#######..##.#..#..##.####.#.###.......######.#########.##.#####.#.####...##.#.#.#.###..#.....###..####.#######.##.#......#.###....###.#..##....#..##.###.#.#..#......#.##.#.#####.#.#.##.###.##.#.##.##....##.#.#####.#.#....##.#.....#.##..#..#.#...####.#####...##.############....#.##.###.#######.##.##..##.####.##...##.#.#..#....#.#..##...#
####.##...##.#.###.##.#....#.#.#.###.############.#.#.#.#..##########...#.#.#.#########.......##....##..........##...######.###..######.####.##...##..##..##.#.#.####.##.#########.#.##.####....##..#..##...##..######.....##.....##.#.##....###.......#.##....#..#.####.##..####.#....#.#..####.##....####....##..#...####.##...#.##...#....###.#.###...####.##.#####.#.......#.#.###.#...#..#...##.#.####.##....#..#......##..#.#..####.##.#..##.#.##.##...#.###...##...##########.##.#..###.#.####..##.#.....########..#.##.###.#....######.#.##..##...#.##..#.#.#.##.....#.##.##.###.....#..#..###.####.#####..###.#.#.#..##.##.#...##.....#####.#.#.....##.#.##..#.####.####.##.....####.#.###.#####.#....######.##...#..#.#.##..##.#..#.#.......###.#.######.#######.##.##.##.##.##.....##########.#......##.#.#.##.#......##....#..##.####.......###..####...#######.###.##
##....###.#..###.#.#....##...........#.#.#.#...###########.####.##.####.#.#.#...###.####.##.#.###.#.########.##.##.#####.##.##..##......#..#.##.#.###..##.######.##...##.#.........#.##..#.##.########..###.###.#.##.#####..#####.######..##...#######.#..#######....##...##.##.....##.###.###...##.##....#.##..##...###.....##.##.########.###..#...#.#...##.##.##......##.#.##.###.########.###.##.#..##...###.######.##.####.#.#.##....##.##......##.#..#.#.#.###..##.##.#........####.##...#.#....#####.#.#.##.......##..#.##....##......###..##..##.##..#.####.#..#####.........####.##...###...#.##......##.##.###.####.####....#.######...#.#.#.#.##.##..#..##.#..##...#.######.#...##.....#.....####.#.#...##..#.###.##.#####.##.##.#.##.####...#.###.##.#.....##...#.##.##....##.###..#.##.#....#.######..#.#.##.#.#.#.######.#.##....###.##.#.#############.#.##..#....#
#..#.##.###.####.....#.#####.##.#.##.......##.##...##...####............#.#.#####.....#####.###.#.###.#.......#.####.#.#.......#######.###...######...#####.#.....#.#..###########.#####.......#.#.#...##............##....##.###.#.#.########.........####.#.#.####.#..####.####.#..#..####.###.##.##.#.##..#######.#.##.##..####..##......##..##.######.##...########.###.####..##..##......#...##.#.###.#..##.#......##..#.###.#..##.#######.##.#######.#.#.#..###.##.#....#.##.#.#.....###.######..#.##.###..####.##.##.##.#..####..#########.##.##..##.####....####.....#.##.##....#..#.###...###.##.##.###.....##...#.#..####.#.###......#...#.###..#####.##.#..##.#..#........#.#.#.##.##.####.####.#.#...###..######..#######.##.##.#.##..####.##........###.#..##.##..#####.#.##...##........##........##.###..#.###.#......###..##.#...#.##.#...#.##.#.##......##.#.####
##.#.#...####..##.##.#.#.....####.#..#.###..#.####..##.##.#..#.###.#.##.#######.#####.#.#.#.#.....#.....#.#.#.###....#.#.##.#.###.#.########..##.##.#.##.##...##.####.###...###....##....#.#.###.#...#########.###.#..####.##.......#...##.####.#.#.#.###..............##..#......#.#####.#......##..#.#.###.##...........#..##....##..##.#.#..##.....#.#.##.#.#........#...#....####....#.##.#.###..#...####.####.####.#..##.#...##.#....##....#....#.##..#.#.##..#.....##.#.#.##.#.#.##.##...#......##....##..##....##.##..#.##..####.........###...##.##...##.#.##....#.#.#..###..#.##.##...##.####..####...##.##.##.#...##...##.#..###.#.#.#.########.....#..#.##.####.##.#.#.##.#.#.#.#...#.#.##....#.#####...#.##.#..##.###.##...#..###.###...##################.##..###..##...#.##.#..##.##.#.####.#####.##..##.##..##.#.##.####..###.#.#.#.##.#.#...........#.##.##.#....#
#..#.#.#..####....##.#.##.#.##.#..##.######.#.#.###.#..##.##.####..#.#..#.....#.###.........#.#.#.##.#.##.#.#...####......###.##......#.##.#.##.....###.....#..###.#..#.###.....#.####.#.#.###.....#.##..#.....######.#.#...#######.###.#.......#.######..###.##.###.#..##...##.#.#.#.###.#.####..##.#.###.#######.#.#.##.##..#.######..#.#.##..#.#.#...#.##.########.#.########.##...####..###.##..##.#.###...##..#....##.##...########.########.##...##.########...#.#.##.#.#.#..#####..####.#.#.#.######.#########..#.#..######...####.##.##...##.###.#..######.####.####.##..##.##..#..#.###.....#####...####..#..#.#.#########.##.#.###.#.####.#.....#.#.##.#.#....##.##.#.#..#.#.######.##....##.###.##..#.#.#......###...#.##.#######....#.#................###..##...##.##.#.#.#####.#######..##.....######..#..##..###..#.#....##...###.#.##.#.#.####.#.#######.##.#.#.##
##.###.##......#.##..#.#######...##..##.........#.#.##.....####...##.#.###.##.......#.##.##.#.#.#.##.#..######.######.#.#########.#.#........####.#...############.####.#.####.#####.#####.#...#.#.#.###...##.##..#.#...###.##....#.##..###.#.#.####.....###..####...##.##.#..###.###...#.####.##.##.###...##..#.###################...##.#..##.###.#.###..####.#...#.###....#....##.##....##....##..###.#...#..##.###.##...###..##........#####...#.######.#.#.#..#.###.##.#.#.##.#.....##....#####...####.#....#....#####...##...#.#.....#.###.###...#.##..##....#.....###.###.####..##.##...##.##.##....#..##..##.####.........#.##.#.....#.##...#####.###########.#..###..###.##.#..#.##...##.#.#####.....#######.##.##.###....#.....##..#.##.##.#####.###.###...######.###.##.#.#..##......#.##########.#.##.####.####.##..##.#.#.#####...###.######....###.....#.###########
#####..###.#.#.#..####.#.......#.###.###.#.#.##.....######..##..#..#.###########.#######..###.#.#.#####...##.#.#......#####.##.###########.#...####.####..##.#.#................##.........#.#.###.#.#.###.#...##...###...#..####.#.###.#...###.#..##.#.##...##.###.##...####.#...#...#....#.......#...#.#..##....#.####...###.#.....###..#####...#.#...##.##.....#.....####...##.##.###.######.###.###..###.#.##..#....#.#...##..####.##.##.....###..##..........##.#...##.#.########.#.###.###.....###....####...##..##...#.#..#.######.####.....###.#.##.######.#.#.###.###.#....#####..#.#.#...#..##.#.##..#.######...####.#.##..###.#.#.#....#.##.......##.#.#.####...##...#.#####....##.#####.......#.#.....##..##......#.#.##.##.######.#####.....#..##..####.....##...#..#.###.#####.##....###.#.#####.......###.#...##..###.#....##.#####......#.#######.##....#.##.....#
#.#.#.##.#.###.#.##....###.#.#.###...#...#.#.#..#.#....#.##....##.#####.#.#.#.##.##......##...###.#.....###....####.#.##.........#.#.#.#...##.##....##.##........#.#.##.##.#.#.##..#.#.#######.##..#.#.....##.#####.#####.#.##............########..#.#########.....##.#.#....##.#######.#...##.##.#.######.##.##....#.###.#.#.##.##...##...##..#.###.####..##.##.##.#.###...###...###.####.......#...##..##.#..#####.#.#.##.######....##..###.#..##.##..####.##.##..###.#..###........###...#######.#.##.#..####.#######.#.####.#####.......##.##########....##...#.###.........####.#.#.##.####.###.#..#.#..##.##.#.###....#.#.##.###..#.#.##.###..##.#.##...........#.###..###...##..#.##....###.##.#.##.#.#######.###.##.##.#.##.####.#........#.#####.####....#.#.#.##.###.##..##..##....##.#.............########..#######...#.#.#.##....#.##.#.#.#....#.##.#####....#.#####
#.....##.#.##..#..###.##...#.##########.#######.######......##.#...##.............##.#.#.#..#.##..#.#.#.###.##.#....#.###.#.####.#.......#.##.#..##.#..###.#.#.#.#############.#######..###.....##.####.##.#####.#.............##.#.#.#.###...##.##...##......#.###..###.####.#####.##.###.###..##.#..#.#.#.########..............##.#..##.##..##..##..##..###..########.###...######...#...#.######.####..######.....#.#.#..##.....#.##..####.##..#..##########..##.###.#.##...#.#.##..##.#.#.........##.#.##.#..##......#...######.##.##.#.#..........##.#.####.####...##.#.##......#.####..##....#.#.#####.##......#.####.#.######...##.#.#..###.##..#..###.###.#.#.#...##..####..#.##.##.#.##...####..#.#....##.#.#.####..######.#....##.##.##.#...#####.###.#######.##...####.##..######..###.##.#.#.#########.#.##.#.#...##.######..#.##....#.#.#.#.#.##........#.##.......#
##.#.###....##.#.##....#####.#......##..#...#...#......#.##.##.##.##..#.#####.##.##..#.###.##..##.#.#.###.#########.###...####.#.####.##.#.##.#.######.....###########.##.#.####.......##.####.##..#.....###.......#.##.###.##..###.###.#####.......#.#..##.#...##..##...#....#............#...###.#.##.......#.#.########.#.#.#.##..####..#..####.##.####.##..##.........##.####.....#.#.#.#....##..##...##......#.#.######.##.#.#.#..####....##.##.##..........##..#...#..##########.#####.###.##.##..###.#....####.#.#.#####.##...#..##.#.#.##.###.####.#.#......####.##.#..##.#.#....#.##..##.#.###...##...#.####.#.######......##.##..#.####...##.###...#..########.#..##...##.##########..#.#....#.##.#.##..#.#......######......#.##..#...#####.........#.....#####..####.#####.##.....##....#.#.#....................###.......#.##..##.#######.#.#..##.##.#.##.##.##.#.##
#..#.#...#.##..#.#..####.....######....####...#.####.#.#.#..##.###########.#..#...####.##..#############...#.###.####...#.##..........##.###..####...########.#.##.#.#........##.#######.......#############.##.#.#########.###.###.##..#.....##.#.#####.######..##.###.###.#.#.###.##.#.#.###.##..#####.##.#........##....#.#.#.#..##....###...##.#....##.#..##..#.#####.....#.##.####...####.#..##..##.######.#.###.##......###.####.##...##.##..###..###.##.#####.########.##.#.#....#.#####..##.###...#####.###...###..###.....#...##..#.#.#...##.##.######.#.###....#..##.##.#.##.###.###########..#.#..#.#...##........##.##.###.##.##.#....#..#.#...####..##.#.####.##..####......##....##.##.###.########...##.#.#......##.##.####..####...####.#.###.########.#######.#...##...##.##.####.####.#.##.##.#.#.#####.##...##.##.#.#.##.##.....#.#######.##.##################
##.###.#.#####.#.##.#....#.#.#......##.##...#.#.##...#.###.#####.##.##.##....###.##....##.##.#.#.#.#.#.###.........###########.####.#.#...##.###...#.#........#........#.#.##....#.......#.#####.##......#...##.#.#...........###...#..###.#.#######.....#......##....###.########..#..#.#.##..###..##.########.#.##....#.##.######..#.##..###.##..##.#..####..########.##.##.#....#....#..##..##.##.##..#.#.######....####.#...###....####.#..#..#####.#...#......###..#.#....#.....#.##.......##...##.#.##......##.##...##.##.#.####.##.##.#.##.###.....#.#.#.#..##.#.##.###.##.#.#..###...##......##.####.#.##.######.#########...###...######.#.##.###....##.........#.###..#.##.###..###.#####....#...##...##.#########.##..#.##....##..###.###..#.#...#....##.##...#.##....#.###.##..#...############...#.#.#....#######.##.##.######.##.#.#......##...##...#.##.........#.#
#..##..#...#.##########.##.#.##.##.#####..#.#.#.#..#.#.#...####...........##.##...####..###......#.........##.#.##..#.#####..###....####.##..#...###.########.######.#.#.#.#..##.#.#.#.###.#......######.###.####.#######.##.###..#.##.#####.#..#.####.#.####.#..##.####...........#######..##...#.###.##....##########.#..####.##..#####.##...###.##.#.##....####.##......##.####.#.##.##.#..###..#..##.#..........##.####.##.##...##.#....##.##.##.##.##.###.########.#.####.###.#.#.#..########.#..#.########.##########.....####...##.##.####.##..#.###.#.#.#.###.#..###....###.##...##.###.##.####.##...#..#...##...........##.#####.##......#.##.####.#.##.#.#.#######.##....#...##.##....##..#.##.######.......#.#.###########.#.######.......####.######.......#......#.##..##.#..##.#.....##..#..##########.#...##....##..#..#.##..##.#.#.##.###..#.##.#......#.#######.#
##.##.##.#...#####.#.##.##.######....####.###.######.#.#.#..##..###.#.##.###..##.########...#.##.##.#.####..#######...#.#.#.##...##...##..##.#######.#.##.##.........###.####..#####.#.#...##.###....##..#####.##.#.......##.#...####...##...##.....#..#.##...##.#...#.###.##.##.#.#.#.....####.##.#......##..##.#.###..#.##.....##.....#.##.#...#..#.#..#.#####....####.#.##.####.###...###.##.##.##..####.##.###.#####.....######..#.##.#.#..##.....#.##.##....##.......#.#......#.#.######.#....##.#####......##.....##..#.#....##.##..##.##...###.#.#.......#.##..#.##...##..##..#.#..#.#.#.#####.#####.###.##.####.#.####.####.#..##..###.#.##..#...##.#..#.###...##.##.##.#.###########.#.##.##..#....##..###.#...#.#.##.##...###.##.....##.##.#.##...####.##.##.##.#.#.#..##..####.##.#.#.#....##.##....#.##..##.##..#.###.###...###.##.###..#.######.##.##.#.#.#.......#.#
#..##.#..#.###.#........##.#......####.####...##.....######.##.####.#.#..#...#####........#.####....#####..##.......#...#.#.####..##.##..######........##.#..#####.#...####...####...#####.##.#...##..##........#.##.####..####.##.##.######.###.##...##.#..#.##.#.#.#...######..###...#.#.####.#######.#####.##.......#######.#..#.##.########.###.###.####...####.#....###..#.....####.#####.....##.###...##.#...##....#.#..##....####..#.##.#..##########..#.######.##.....####.######.......##..#.##....#.##..#.###....####.#.##...##.##..###...#.#####.#.#.#.###.#.####..##..##.####.........#.#.##.##..##.####....#....#....#...####.#####..##.#.#..#.#.#####..#.......##.#.....#....##.#..#.#..####.####..####.#...........####..#####.###.##....#.#....#..#.##..###.#.#.####.##...####.#.#.##..#..#.####..##..#..#.##.##....#.#...###...##.####.#.####..#..###.#########.#
##.##.##.#.#.....#.#.##.####.#.##.##...#.###.##..##.###.#.#######.######.#.#.##....#.##.#.#.#....#.##.....#####.#####.#...#.#.###..#..#####.#.#####.##..#.##.##....#.####.##.##....#.#......####.####.#..#####.#######.##########.....#...#..#.#.#..#.#..##.#..#######.#.....#..#####.##.#..##..#.....#.#......###.###....##.####....#.#.##.......###....#####........##...#####.#.##........##.#.##..#...#.#..##.###.##.#.#.##..##..####.#.##.##......##.#####..#.#.#.#..#.###....#....#####.#.#..####..##.#####.###...##...#######.#..#####.##..#.#...#####.#.###...###.###..##..#..##..#.##.##.........#.##..#..#.##.#.##.#.##.#.#...##.#.....##..#.#.##.#...##..#####.##.##.#.#.#...#.##..#.##.##....###.###...##.#.##.#.#.##....##...###.#...##.#######.###.##.##.##...#.#....####.#.#....#######...##.##.#.###############.#.########...###.........#.########....###.#.##.#
#..#..########.#.#.#.#.....###########....#...#######................#...#####..#.######################.##.#...#..######.........##.##.....#.##.....##......#..#.##.#........##.#.###.#.####....#......##.......##.##.#.#.#.#.#..#.#.###...##.#.#.##.#.##..#.#####.#####.##...###..#.###############.#######.##...#...####.....##.###....###.#.####..#.##.##########.#..###.#...#.#####.#.#..#.#..######.#.##.#....#.##.#.#.##.####.#....#.#..#..#.##.#.....#..##.....##.########.##.#.......#.##..######..##....##..#.####...##....####.....##.##.##.##.....###...#.##......###.##.####.#..####.#.####.##..##...##.##.#.##.#.##.#.#.##########.##.##.#.##########..####.#######.#.###.#####.#.#####.##.......##.##..#.##.#.####.#.####.##...##.##....#...#..############.##.#.#.###.######.#....##...#.....#.#....#####.#..##..#.#.#.######...##.##.#.#.....##.######..........#
##.##..##......#.######.#.##.......####.#...#.##......##.#.#.#.#.###...#..#.###.###....#.#...............##...####.#.#.####.#####.#########......##.####.#.#.#.##..#.##.#.#.#.#############.####.##.###..#.#.###.#..#............##.######.##....#.#..###..####..#....#...#..#...##...#......#..###....#.#.#..###.##.#.##...###......##.#...#.#....##.###....###......######.###.###.....#.#.####.###.....#.######.##.#..#.#..#.##...##.#.###.###.#..#.###.#...####.##.####........#####.##.#.#####...##...####.#..##.#..##..#..##.#....###.#.##..#.#...#.##.######.#..###.#.###...#..##..##....#.#....#.##.##..######..#.##.#..###.#..##........##.##.#...#.....###.#..#.......#.###.......#.#..##....##.##.###..#####..###....###...##.##.####.###.#...####..#####.###.#..#.#.#......#.#.###.####..###.###.....####.#.#.#.######.........##.#.#..##.#.###.#.......##..#.#.#.####
#..##.##..##.######.#.##########.#......##.##.#####.########.#.#..######.##..#########.....#.#.#.#.#.###..#.#.#.............##......#.#...######.##.#.#..###.#..##.###..#.#.###.......#...........###...######.#.##...##.#.##.#.###.#.......####.####...########.####...#.#####.##..#.##.#.#...##...##.....##.#...####..##########.###..##.##.#.#.##########.#...#.##.#...........##.##.##.#..######..#.#.###.#.##..#.##.#.#.##..##.###.#######...#.#########.###...####....##.#.#..###..#..#.###...#.##.###....##.##.##..##.#.###.##.#.##..#.##.##.##.#####....##..#.##...#.##..#.#.##..####.###.#.#.####...##.##..##.##..#.#.##...##..####.##.#####..#.#...###.#.....###.#.#.##...##.#.##.###.####.#.##..#...##....##.##...##..###.##..##.##....##.###....#.##.##......#.##.###.######...###...###..##..##.#.####.#.#.#......###.#.###.########.##..#.###.####.#.######.#.#..#.#
##.####..##...##.......#.#.##.###########..##...###.#........#.####.#.....##...##.##...#.#.#.#.########..########.###.#.##.#####.#.##.###.##......###.##############...##.#..####.###.###.######.##...###.#.#.......#.#..######...###.#.#.#.##....##..###.#.#.##.####.###############.#..#.###....########......#...#####.....####...##..#.##.#.#...###.#......#.#.#..##.###.#.#.###.#..#..##....##..####.##.......##.##.#.#.##.##..#....##..###.##.##....#...##..#....##.#.####.####.##.##.###...#.######...##..########.##.####...###.#..####..##.##..##...#.####.#.####.#.##.##.#..#.###.#...#.#.###.###.##.....###.##.####.##.#.#####....##..##...##.#.#########.#...#####..#.#.####..#..##...##.#.##.##.#.#..##.##.####.###...###..##..##.#.##....#.#.##.......#.#.#####.#....#.#.##.##...#...#.##..#####......#.....##.#...###..##..#....##.#..##...#....#.#......#.#.##...#
####.#######.#########.#.#.#....#.#.#.....##..###.#########.####......##.#####....############.##.#.....##........#...###...##...#.#...#.....##.####........#.#.#.##.#.#..##....###....####.......###.#.......#####.####.##.....#######.###.##.#.##..##.............####.##..#.#.#.#..##.###...#.####......#.#.###.##.#.#####......#.##.##.##.#.#.###.....#.#.##.#.#.######..#.#.##..##.##..#.#.##..###...#####.#.#####..###.######.#.##..##.....######.#...#.##.###.#.#..###....#.......##.#######...#.#..#.###.###......##..##..#...####....##.##..#.##..#.#.#.#..###.#..#.##..#.##.####....#####.......#.#..#.###.###...##..##.#.....####.##.#####..#.#..##..##...#.####.#######...##.##.####.##..#..######.#.###..#..##....######..##..##..#..##.###.#.##.##.##.#####.#.###.##.........#.#.#.#######.....#.#.##...##.#####.#.##..####...########.##.#.##.###.#.##.###.####.#.#
#.....#.#....#...........#.####.......##.####.#...............###.###.##.#.#.####..##.#.#.######....#.#########.#######...#..###.#.###...###.##.#....####.#..........#.##.##.#.#####.#...####.#####.#########.##......####..###.###..######.##.#.###.#####.##.#.###......###.........##############.#####.####.##..##.....#######.#####.##.##.#.#.#...###.###.####.####.....######..##..#..##.#.##.##...#...##..#....###.##......##.#.#..####.##.....####.#.###..#.#.#.#.#####.###.###.#..#.#.......#...##.#.#.#...######..##..##.##.###.##.###...#.####..##.#...##.#.....##.##.##.#.....##.#.....###.##.####.##......######..##..##.##.##...####.....##.##....##..###..#.#......###.##..####.##..##.##..#.#####...#####.##.##......######..########...###..####.##..##.....##..##.#####.#.#.#.#....#..###.#.#######.###.....###..##.##...#.......##..#.#..#...###.##...###....#.#
#.###.#.#########.######.#.####.#.#.#.#...#.#.##.####.#.#.##.##...##...#.#....####.#.......#.##..#.##..##....##.#.......#.##.##..#####.#...######.##.#....#.#.##.#.#.###...###.##..#####......##...............##.#.#....####...#.##........######.#..#.################.#.####.#.#.##..##.#.##.#...#......##..##.#######.............#.#..##.#.####.##...#......#####..#.#.##.....###.###.##.#.##.#######.###.##.#.##....###.#.###.#.##.#....#..#.#..##..#..###...#.######....#...#...##.####.#.##.#.#.#..###...#######..###.###.#...#..##...##.##....##.##.##.##..###.#.#..####..##.#.######.###########....#..#.##.....###..##..###...###..##..#.#.##.###.#.###...##.....####.#.#.###..###.#####...##.....##..####.####...####.#...#.#..##...##...#...##....#..##..##.#.##..##....#######.#.#.####.##...#....##.....###.######.##.##.#.#.#######..#########..##..#.######.#.###
###...#.#.#.#.#.###.###.......#.#######.#.#...##.#....#.#.######.##..########........#.#.#...##.##.#..######....#######.#.##.#..##.....#.#.##..#..######.####.####.#...##.####..##..#.###.#.#.##.#.######.#.#.#####.#.##.###..#.#..####.##.##.###....##.#.#.##.#............###.#.#..##...........#...##.#####..#.#.......#.#.#.#.#.###.##.##.#....######.##.#.####....##.#.###.##.#.###....########.#.#.####..#..####.##.#...#...######.#.#.###.#.#.####.#.##...#####......##.#.#.#.#..###..#.#.##.#.#.##...#.#.#.......##...#...#.#...####.###.##.##.##..###...##.##..#.##....##.#..#..#.#....###......####.##.#..#.#.#..##.####...##.##...##..##.#.#....#.###...#..#.#.#...##...###...##.......##.##..#.#..##.........#.#....#######.##..###....#.#.######.#######..#.#########.#......##.#.#....#..###.###.####.##...####..#####..#.#.#...##.###.#.#.##.###.##.##.....##.#...#
#...#............#..#.##.##.#.####.#....########.#.##.#.#.#......##.######....###.#.########....##.####.##.######.......#.#####.##.##.##.#####.####...#####...#.##.#.#.#..##...####.......###########.....###.##.#..######...##...##....####...#..##.#...........########.#.....##########.#.#.##.###.##.##....#######.#.##.#.###.#..##.##.##.##.#.##.#.#.#..#....##.#.#..#.#...#..#.....##..#.##......#......###..#.#######.##.####.##..#.#.#.#.###.##...#..##.########.#.##..#######.#####.#.#..#####.#..#####.##.##.#..###.#.#.###.#...##...#.#...#####...##.###.###.####.#.###.##.#.##...##.....##.#########.#.######.###.#....#..#..##.###.##..####.#.#...##.#####.#.#.######..##.####.###.#.##..##.#######.#.#.#.###.#.##..#.####.#####...#.##.#.....########.####....#..#.#.#.#.####..#.#.#.##.##.....###.##.##.#...#..##.#.######.#.#.....##..........###..##.#.###..#.#.#
#####.#.#.##.#.#.##.#.#####.#..#.#.###.##........########.######..####.#.#.##.#...#.#.#.#....##.#..#....#.........#.#.#.###.#.#.#####..####.#..###..#.......#.#....#.######..###..##########.##.#.#.###.###...##...####.#..####.#..##.#.#.#..#...##..##.#.#.##.#.#........##.##.##.###.##..#.#.#..#...##.###.#..##.#...####.#.#...####..#..##.#..#.#......#####.###..#.##.#.###.##.#.##.####...####.##...##.#..###...##.#.....#..##.....##.#.#....##..###.#.#####..#.############.#....##......##.##....##....##.####..##..########...#.#..##.##.##.##.....####.#.....#####..#...###..#..###.#..#.#.#####........#......#...#.##.#.##.#.##..##...##..#.#.#.##.###.....#.###.....###..####.....###.###.##....##.###.#############............##.##.#..####.##.#.#.....###.####.##.#####...###.#####.....#.#.#.##..##..#.#.#...##.......###.#.#.##.###.######.#########.#.####.###.#
#.....#.#.######......#.#.#.##...#......##.#.#.#.##.##.#..#......##........##.#####.#.....##.##.#.#####.#############.#..##.....#.#...###...##.#.####.####.##.##.###..##....#####....##.................#...#.#######.#...###...####..###.####.#..#####.########.#######.##...#.#.........##########.##...##.##.##...#.#....#.#.#....##.##..#.##.###.#.#.##...#...####.##.###...##.#.#..##...#..##..###.###.##.#...###....#.#.#.##..#.###..####.#..####...#.##....##....###.###.#.##.#..##.#.#.##..#.#.####.#.##.#.###..##..##......###.##..#..###..##.#.#....#.#.#.###.....######...###..##.##.#####.#.#####.#.##.#.#.########..#.##.#..##.##.#.###...#.#.#....#.#.#####...#.#..##.###...#.#...#..######.#....##..............#.####.##.########.##....#........#.#.................#.###......##.##.##.#.#....##..##.#.#.#....#.###...###.###..##....####.....###.###....#.##..#
#####.#.###.#.#######.#.#.######...##.#..##########......###.#.#..####.##.#####.#...##.#.##...######....#....###......#.#####.#.#...#.##..#...........#.....###..####..#.#.##..#####....#.#.###.####.#.##.#.###.##......#.#...#.##.#####.......##.#.#.####.#.....##.......##.#####.#.#.##....##.##.#####.##..#..###.##.##.#.###.##.#.##.##.##.#####..###..#.#...###....####...#.##.#.##..##.##.####.#...#.###..###...####.#.###..##.####..##....#.##....#.#..##.#..####..#...........#.###.#.#.#..##.#.#.#..#.##.#.....####..#.#.##.##..##.###...##..#.####.#.###.######.#.##......#.#.#.##..#.............####.#..###......####.#..#.#.##..##.#...##.####.##.#.###.....###.#.##.####.#.#.####.###.....##.#.#######.#####.##.#.#...#####......##..###.#####.##.###.#.##.#.##.#########..####.#.##..#...#.#.#.#.####.####.####.#.#..###.##....##.####.#....#.#####.....##.#.###..##
#.....####.................##.####.#..#####.#.#.#.###.##..##.#.##.#....####.......#.#..#.###.###.#.####...##...#####.####.....#####.#.#..#####.##.#.#.###.#.####....#.########..###..##.###.######...###..###......##.#.#.###.#....#.##..#.##.##..#..........#.#..#####.#.##.##....#####..####........#...##.#.##...#..#..#.#...##.#..#..####.#.....##...#####.#####.#..##..###..#.#.#..###.#####.#####.#..##.####.#.####.#..##.##..##...######.###..#.###########..#.##.#########.#.###...#.####..#.#.#...##.#####.##.##...##.#.#..###.##...##.####.###....#..##.##.....#.##.####.###....#####.#.##.#.###....#.##..##.##.#....####.#.#..##.####.#.#.....#.#..#..##.#####...#.#.........########.#.##.##..#..##.#.......########.#...##..########.#....#..#.#....#.#..#####...#.##.#.##...####.######.####.#.####......#...##.#.##...#####.#..###....##.########..#####..###...###
####.###...###############.##......#####.#............#..##..#..####.###.######.#.####.#..####......##..#.####..#......#####.###....#.##.#.....##.#.###...###....##.###.#.#....##.########..#..#.##.#######...##.#.##.#########.####....##.##.#..###.#.##.####.##.####..#######.##.##.###..#####.####...#.##.#..######.##.#.###.#..#.##.###.######.#####.##..#.##.##.##..####...#######.##....#.#....#####....#....#.#....#.##...##.#..#.##.##....##.#####.###.#.##.#.#............#...##.#####...#######.##..#.#....###..#.##.#.##..##..##.##....##.####.#.####..##.#.###.#####....####.##.....###..#...##.#####..###..#.#.####....#.#.##...###.####.#######.#####.....##.##.#.#.#.###.....#.##.###...##.#.##....##.##........###.#..##....##....##.#...####.#######.....###.........#####.####..#.#..###.#....##.#.####.##..#.###.###.#####..###.#..#..#.##..##.....##...##.##.#
##.###.########.#.............###.##.....##########.####.###.##...####.....##.#.###....#.##....##.#....####.###.####.###..#####..##########.##.####.#####.##..#.###.##....####.......#.##..###....####.#.#######.#..####.##..#.....###.##..##.##.##..#.##.#....####....##...#.######..#.####.#########.####..#.##......##.#.#...##.#.##.....##......#..#####.#.##....##.####..#..##.....###.#.#.####...#.##.#.#.##.#####.####..#######.#.##....#.##..##.#........##.....#####.####.###.##.##....#..##......##.#...#.#####.#..#.#.#..##..##...##.######....#...##.###.#.##...##...##..#.#..###.#..#####.#.##.....#.##...##.#....#.##.#.#.#..#...###..........###.....######.##.###.#..##.###.......######..#.###.###...##.#.##.######.##..#.###.#.##..#.#...##......##.#.#..###.######........####...####...##.####.#.###...##.#...#.#...#...##...#.##.##......###.#####..###...#.#
#..###.#..........#####.###.#..##.###.##......####..##....##..##.##.######.#......###.##.#####..########.##.......#...###...#.##....###.....#...#####......####...#######.#########.##..####.###.##......#.###...##.##....##...###.##...##.##.#..###.#.##.#.#.##.#..##.####...##..###...####...##....#.#.#..##########..#.#####.##.###..#.#..##.#####.##.......#####..###....###..###.#.#...#...##...#...##.#.#.#....##.....##...#.#.#.#.#..##.###..##..#####.##.###.##.##....#......#.##..####.#.######.######.#.#.##....#.##.#.##..##.###.##...#.######.#.###....#####..###..#.###...##.#.#.##....##.#.##.#.###..###.#####.######.#.#.##.#.#...####.#.#########.#......#.##.##..#.###...##.######.#..##.###.###...#..########....#.###.#...######.##.##.###.#.#######.##...#......##.#.##.##....#....#.#######.###...##.##..###.#...#...#.##.#####...##.#.###.#.....##.##..#...#
##.......########..######...##.##.#...###.###......###.#.##..#####...........#.#.##...####.#.####........##.##.##...###...#......#.##.#.#.#.##.##.##..#.#.###...#.#.....#.....#......##..##...#..###.#.#.......##########.##.#...#####.##...#.##.#...#.##.######...##...##..#..##.#.###......#....##.....##.#.#.#.###..##.#.....##..##.####.#######...####.#.#.#.##..##...#.##.######.#.#.#.############.####.#.##.#####.##..#.###...#########...##.###.......##.....#...##.#.####.#.###..##.#..#..##......##...###.#####.#..#.#..##.####...###.##........#..##.##...##..##...##...##.#####...#..#.##..######..##.###...##.#..#.##..##########.###.#..#....##.....###.######..#..##...#.#.##..###.#.##..#...#.#####.##..........######.#####..##....##..###...#......##..#.#####.#######..#....##.##.###.###.#...##..#..#..##...#.#.#.###.#.##....####..#.#.......#.####..##.##.##
#..#.#.#.#.##.#...##...####.##.######.#.####..####.##..#.##.###.#########.#.##.######.#.#.....#.######.#.#####.#..#...##.####.##.####.#####.#..##....####.#...#.#######.##.##.#####.###.#####.##.....########.##...#.#.#.....###....##.###.##.#..##.##.#####.....#..###.#..###......#...###.####.####.#.##..#.........###.##.#.##..#####......##....#......#.#....##.##.###.##.#......#.###..##....##.........#.##.#..##.#..##.#####.##.#.###..###....#######..####.###.#####.###..#..###....##.##..####.#.#..#.#....##...######.##....##.#..##..##.#.##.##.###.########.###.####.###....####.#.######.....###.####...#....##....##.##.#.###...##....##.#.####.##...#...#.###.##..#.#.###..##.#.#.#.#..####.......#..#.#.##.###..#.##....##..####.#####...###.#.##.#######..##........###.##.###...#...#.......#..#.##.##.###.#####.#..########.###.#####.##.#.#.##.##.#######...#
########.#......#.##.#.......###.#.####.##...###....##.#.#..##............#..#.##.....#...###..........#..##.####.##.######...##.##...##.###########.#....###.#########.####.............##....########........###.......##.##...#.#####...##.#.##..####...####.##.#########.######...#.##..#....#....#..##.##.######...#.##.#..##...###.##.#.#..#.###.##.##.##.#.##..###...##...###.##.#...####.#.#..##.##.#.#..####....#.#####.#.#.##.#.....#########.......##....#...##....#...###...##.#..###..##.##.##########.##..#....##...##.#..###.##..###.###..#..##...####.#...##.##...#...##.#....#...#.###.#.##......##.##.##..#.##.#.....#.#...#..###.#####..##...##.##.#.....###..##.#...#.##......#.#.##.###.#.#######.#..#.####......#.####....#....##.####..#.##.......##.##.#.#.####.#.#...##.#.##.###.#.##.#.##..#..#.##......#.##......##.........##..#.#.#..#..#...#.#######
#...#.#########.#######.#.##..##.....#.....#.##..#.##..#.##..###.#######.##.######.############.###.##.##.........#..#.#..###########.##..#####.##...#.#.###..###.#.......##############..####.#........##.#.#...####.##..#####.##.##....#..#.#.#####.##.#.......#.#................#.#.###.###.#####.##..########....###.##.#.##..#...#.##.#.#.####...##.####..#.#..##...#..###.#....###.#....###.##.#..##.###.###.#.##.#....##..........##.###..##.#######.####.#.#.###########.#.##.##..#.#####.#.......##....##.#..###.#.#..#.##.#.###..###.##..##..###..#.###......#.#..####.#.###..#.#.##.#.....###..#.#.#.###.##..#.##..#.##.#.##...###.####....##.##..#.#..##.##########..####.##..#.##.#..........###..#..#####.##....###.######....#.###.###...##..##..##.#.#######..#.#......#####..###.##..##.#..#.#.#####.##..##.#.###.#..##########.##.#####.#####.###...###.#.#.###
#.#.....#.##.##.##......###..##..###...##.##.#..######.####.#######....####.#.##...#............#...#..###.#.#.#.#####.##...###.####..###.#.#.#.#..###.#.##..##.#.#######.#.###.##.##.###.#.##.###.###.###.#.#.#####..#..##......######.##.######......####.###.########.########.#.#.#.#.###...#......##.#........#.#########.#..##.#.#..#######.####.##..##..#########.##.##...###.##...#.#.####.##.##.##.##..##....#..##.#####.##.#.##.#....##....#.###....#.#####.###.........#.##..#.##....##.###.#.#######....##...#.####.######...##..##.#..####..##.##.#...###.##.####....#...##.#.#.#..#########.##.#.#.#...##.#####.##.##.###..#..#####...####...##.####..#......##.###..##..##.##.####.##.##########...##...####.##...#....####.###.##...###.####..#.#####.......##.#.#.####..##...###...#.##..##.#.#.....#..#.##..#...####.....##...#..#....##.....#.##..#..#........#
####.##.........##.##.#..##.####.###.#.##.#..#.####....###..##.#....##......#..#####.##.###.#.#.##.#####.#.#.#####.#....###.#....##..##.#.#.#.#.####...########.#.#.##.................##.......#####..##..#.#####...###..##.#.#.##.##..#...##.######.###.#####..##.######........#.#####.#####.#####.########.###.#....#########.##.#.##..#.#.##......##.#######.....#..##..###.##..##.#.#.#.#.......#..##..##.###.####.##..##....###..###.#.##..##.......#.##.##.#....#######.#...##.##.##.#.##..#...#.##......#.####.##...##...##...#.##.######..#.##.####..#####....#.##...#.##.#.##.######.##...##.######.####.###.....#..####..###.##..##...#...##.#.##.##...##.#.##.....##.####..#..#..##..##..........###....###.....##.###.#....###....##.##.#######.###...##.#.#########...#######.##.##.######..#.####.###########.##.####..#.#....####.#.#.###.#.#######.##...#.#.####
##.####.#####.#..#.#..##..#..##..#...#..#.######.#..#.##.#####.###.##..##.#.##...##..##.#...###..###.......#.#.....####.......##.###............####.#.#.............##.##.#.#####.#.#....#.#.#...#...##..##.#.....###...##..###....###.##.##.........#...###...##......########.##.##.......#...##......##....#...##.#...##......#..#..##.#......####.##..#.##.#####...####.###.###.##.#.########.##.##..#.##..#...#.....##..#######..##...###..##..#.###.###.....##.####.#....#.#.#..##.##.#..##.##.##.##.######.#.##..##.###.#..##.##..#..##....##.....##..########.#####.#.#..###..####.#......###...#.###.#..#...##.#.#######..##....######.##.#..#.#.##.###.##..#..#.###..####...##.#######..###.###.##..####.######.###...############.#..#.......##.......#..#.#.......##..###.###.#....##.....##.##....#....##.##....##....##.####.#....#####.#.#.#...###...###.####..###
#...#.####.##.#######.#..##.#######.##.######.#....#####...........###..######.###..#####.#.##..#######.##.####.##......#.######.....#.######.#.#..###.##.##.###.#.#..########.....###.####.###.#...#..##..#####.#...###..##...#.##.#...#########.###.##.##.###..##.#.#....####..##..#.#.###.#.###..#.#.####.#.#.#.##.##.###.###.##.##.##..########....##.##.....##...#.##...#...#...##.###..#......###..##..##.#.#.#.##.##..####..#..#####...##.#..#####...######.#...##....##.#.####.##.#..#.#####..#...#.#.........##.##.##..#.##..##.##.####.#..#.###.###.##.......##....####.##..##......#.####.#.###...####...#.##.#...###.##.##.#.##......##.####.#..#.#.####.##.##...##.##.##.##......##..##.....#..##....#.##...#######............###.##.##########.##.#######.#.#.#####.........#.#.####.########.#.###.#.....####..##.###.....###.#####.####.###.#...##.##......##...#
#.#...##....#...##....##..#....##...####.##.....##.##....####.##.###.####....#.#.##########.###.##...##..###..###..##.#####......##.###########.#.#############..####..##.#.####.###...#....##..#.#.##.#..###....##.##...####.####..###.#.........##........##..#######.##......##..########....#####.########.#.#..###..##...##.##..#####.#........#.##...###.#....#.######.##.##.#..######.####.###...###.#########.##.##.###.##...##.#...###..##.#.....#..####....#.###.#.##.#####..##.##.#.##....####.######.##.#########..##..##.#..#########.#####..#.#.####.#.#..###.###.####.##..#.##.#.........#..#..##..#.###..#.#......####.#..#####.###....####.###.......#..#.#..#....##.##.##.#..##..##.##.##.###.###....#####..##.#.#.##.#.####..#.......#.##...#......##.###.....##.#####.##.#..##.....#...#.#.##..#####...##.##..###.##.###..........##.######.########.####..#.#
#.#.#..####...#..##.####.####.#####.#.......###.#...###.##....##.#....#.####......##.##..####.######....#####.###.##..#.....#.##.#####......##.......##.#.....#####.##.......##....######.#.#..####..####.##..##.##.######......###.##..#.##.########.#####....##.......#..#.#.######.#.#....#.##........##....####..##.####.##..###....######.#.##.############.#.##.....##.##.#..##..##....##...##..#...###.#.......##.##.#....#.###....#...##..####.#.##.##....##.#.#...#.#......##.##..###.###.#.#.#..##.....#....##......###.##..##.....##.....##...##....##..###.##.......##....##.####.#.#.#.#.#...#########..#######.#.##.##.####.###...#...##...##.##..#.#.###.##.##.##.#########..######.##..#.##..##.###.##.......##..#.#..#.#....##.##.##.#....#.#.#.#.####....#.###.#..#..####..#.####.##...#.#.#..##...##..#..#.###...###....##.#.#.#.#.........###....##.....##.#.#
######...###.##.###.#.......#.##.#..#.#.#####...#.###.######.########.#..#.#.##.#..#.#..##.##.##.#.####.##....#.########.#######.#...######.####.#####..#.#.#.#......#.#.###....#.##......###.##....###...###.##.#...#######.#.##...##.##.#..#...#..###.....#.########.#######.#.#........#.##..###.#.#.######.##...###.#.....##..##.#.##.#....#.#....#.#........###..#.#.##..####.###..#.##.####..##.#.#.###...#.##.##...######.....##.###.#######..###..#######..#.#.##.######.#.##..##.####...#.#.#...#####.#.#.##..##.#.#.#.###..####.#.#####.#.###.####.#####.##..######.#..###.#####....#.#####.###.#.##.##...##.##.####.##......##.#...#.#.#..#####...##.###.#####...#..#.....#.####.###.##.#..#####.##....#.###.#.#.####.#.#.#####.#.##.##.##.##.###.#.###.######.##...####...##.###.#...##.##.#######.###.#..#######..##.####..#.##..#.#.#.#.#######..#..######.#######.#
#..##..#..##..#.##..#####.#.###....######.####.##.#....#.######.#.#.#.##.#.#######.#.##.#...#.#..........##.#....#.#.#.#####.....#.#................##.######.#.####...#.#####.#############...##.#...##.##....###.###.......###..#.#...####.#.#.#.#######.##.##.#.....#.##.####...####.#.###..######.###.......###.##..####.####.##.#.##.###.##.##.#...##.###.#.#...##.#.##.##....#...####..#....##..#.#.#...###.##.###.###.#.#.##.##..##...##...##.....###......##.#..####.....#.###.##.##...#########..##...#.#.##.##..###.....####.#..#...##..#.#.#.##.....##...##..##.##.##.#...########.####....##.....#.####..........#.###.##.##..###.###.##....###.##..##.....###.###.#.#####...##......####..##.#..#.#.##..##.#.#..##..#.#.#.#.###.##.##.##..#..####.###....######.#.##...#......###.#.##..#..#.#..#...####.....##..##.....##.#####.#.###.#...######...#######...#.#...#
##.#..###.#..##..####.....#.##..#.##.#..........#.#.##.#.#.#...............##.#.........##.##.#.#.####.#########...........#####.###.#.########.##.###..####..#.#..##.####......##.#.........#..###.#.##..######...##..####.#####.###.#.##...###.#.##.##....####.#######.....##..#.##...#.##..##......##..##.#.##...##.###....##...#.####.#.#.##.####.#.#####..#.##.##..###..##.#.######.###...#.##..##.#.#.#.#....###.###........###..##..#.####....#.#.#...##.#..#.####....##.##..##.##.##.#..#.#.#....#####.###..#..##...##.##....#.##.#.#.##.####...##.#.####.#..##..#..#.##.#.#..##..###....##.#..##.##....##..#.###.######....#.##.###..##..##.##...###..####.##...###.###.......#####.#.#....##....####.#.###..#.#.##.###.###......####..##.##.#####.##...##.#......###..###.#.############..###.....##.####...#.#####.###.##.##.....###.###.#.#.....####.....##..#...#.#.#
#....###....####...#####.######.####.#######.####.###........##.#.########.#....##.####.....#.######.####.##.....#.#.#.#.#.......##..#.#........#...#..##.#..####.#####.##.#.#.###.#######.#.#.##...#.##.##......#.##.##.......#####..#.##.#.##..........#.###...#.######.##....############.####.#.#.###.##.#..###..#.##..#.###.#.#.#........##.#.#..###.#...##.#...##.##..###.#.#..........#.#..##..###.#.#####.##...##..#.###.#####..####....##.#.###.##.######.####...##.##.##.##..#..##.#.##.....#.##.#....##.##.##..#.#..##.##...##.#.#.#..#.###.#####.###..#.####...#####.###.####.....#####.#.##..##.######.#..##.#.#..###.##..###...####.##..#.####..##.##.##.#.##....##.###.###..#.#####.###.##....#.#..##.##.#..###...##..##.#...##.###.##..##....##.###.##.#.#...######.#....#.#.##.#######.######..##..#.#...##....#.##..#.#####.....###.#.#####.###.#.##..####.###.#
#######..##...##.###..#...###.###..#.##......#..####..##.##.#######..........#.##..#....#.#....#.#...###...#.#.#.#.#.#.#.##.#.##.##.####.#.########...##....##.#...#.#..########...###.....#.#.#..#.#.##.#####.#.#.#..#..#.#.#..##...##..###.#..###.#.##.#.##..#...........##.####.............####.###...##.##.##..##.#..##...#.#.########.#.#..#...###....#.##.#.###..###.#...#.#.#####.##.#.##..####...####.##..###....##.###.#..#####....##.##.###########.##.....###.####..#...##.##.#..#.##.#.#.###....#.###.##.#..#####..####.#.##.#####.##.....##......##.#..#.##.##.#.#.##...##..###.....###..#.##.......####.##.....######..##...#.#....###.####...##..#...#.#....#####.#####.##......##.##..##.####.#.#####..##..####.###..########...#..##....#.##....#..#.#.#.#.##.....#.##............##.....#.##..##.#####.#..#.##.##.##.....##.##..##.#.......#.######.#########.#
#.......##..#.##...##...###.#...##.#.######.###..##..#####..#.##.##.#.##.#.#.#..##.###.######.##.###.#.##.##########.#.#.####.#######....#.#.....####..##.#.##.##.##.##.#.#.#.####.#.##.#.####.##.#.###...#.#..###.##.#.######.##..###..##...##.##..#.##.#..##.#####.#.#.###..#....##.##.###.#..##...##.###..##.##.######.###.##.###..###...#.#.####...##.#.#..#.#...##..##.##.######.....##.#..##....###.##.#....####.#.##..#.....##.#.####.#######..............#.#.##..#.##.##.#..#.#..##.#.##.######..####...#.##.#.####.#.###.#.#..###.....#..#.#..##.#.####.#.##.....#...###..#####.###.#####...##..###.###....####.###......##.###.#######...#....###..##.#.#.#####.###..#.....#..##.##########.##....#.#..#.#######..#.#...##.....###..#.######.#######.#.#.##.#.#.######.#.#..##.##.####.###..#.#....#####.##.#####.#..#.##..#####.##..##.##.##.####......#.#.#.#.....#.#
######.##..##..##.##..#.#...#.###......######.##....##.######.....#####..#.#.#.##..##..#.........#.#.#.##..##.#.#.########.####.#.############.#..###.#####.##.................#.....######.#...###.##..#.#.#.##...#..#.#......##.##...####.##...##.#.####.##..#.....###########.#.##.#..#...##..#.#.##.#...##..##...##...#....#..###.....#.###.##...#.#..#.##.#.#.#..##.##..#..######.##..#.##..##.#.###....##.###....####.###.##.#.............##..##.#.##.#.#.##.#..#.##.....#.#.##.#.#######....##.#######.###..#.#..##.....#..#.##..###.##.######.##..####...#.#..#.#...###...###..###.......###.###..##.######.##.....####.#.##.#...##......#.#.######.###.#.#....####...##.#.#...##......#..##..##.#######.........##...#.#.###.####.##.####.#........##.##########..##.##.###.###..#....#...#.##.#.######.#......#.#.#.##.###.....#####.#######..###########.###...#.#####
#......#..##..##...##.#.#.#.....######.....##....#.##.....##..###.##.##.######.###.######.######.....#.###.#.......##.#.#...#.....#.##.##.#.#####.......##..######.##.##.#.#.#...##.##.#.##.##.##....##.###...#######.###.#.##.##..###..##...##.##..###.....##.##.#.##...........#.#..##.##.##..####..####.##..####.#####.#.#.##.##...###.#...#.####.####.#..###.#.##.#...#.#####.#.######.###..##..#.#...#.#####...#####....##.##.####.###.###.####.#..###..#.###..#.########.####..#.#.##.#....#####.#.#.......##.####.###.##...##..##...###..#......###.##.#.######.#.#.#..######...######.#######...##.#.......###..#.#....#####..#.#..###.#.##.#......#.#.....##.#......#.##.####.#####.####.####.##...#.##..#.#.#.#.##.#.###.#.........#.##.....##.#####..........##.###....##....####.#.###########........###.##...#.###..#...#.#.##..........##......####....#..#.#...###
####.###.##..####.##..#######.###.#....###....###########.###.#.......###.#.#....###.#....#..####.##.#.#.....#.#.#......###...#.#............##.#######.###........#..##.#.#######..##.........####.##..##..#.#.......#######...#.#####.##.##########...###########..######.###.########.#..###.#....###.#.###...##.#.#.###.#..###..#.##..##.##.#.....##..#.##...#.#..##.##...##........##...##.#..##.#.#.#.##....#.#...#.#.###.####....##....#.##...##.#...##.####.#.#..........##.##.#.#..#########......#.#.###....##.#...##.#####.##.#.##..###.###...####......##..#.#.#.##.######..#.........#.##.###.#.#.#.###...##.#.#####.##.#####...###.##.##.#######.#.###..#.#.#.####...##.....##.........#.#..#...#########.#..###...#.#.##.##########.####...##.##.##.#.#######...##.##.##...####.......#.#...#.#.##..##.##.###...#.##.#.###.##.##.##.#.##..#.##......####.######...#
#....#...##.##..#.#####..#.##.##....##..###.#####.#...........###.#.#.........#.##.....##.##......#..#.#.###.#.####.#.#.#.##.#####.####.####.#..............#.#.##.#####.####.#####....##.#.##..###..##..##.###########.###...#.#.##....##.######.....#..##.#.#.#...##.#....##..##.......#.##...#.##.##....#...#.#..#.......##...##.#..##.####..###.#..####.#..#.#.##.##..##.##..#.#.##....#..#.####..###.#..##.#####.#...#.##...#####.###.#.##.#..#.##.##.##..#....########.#.###..##.####.#.#.....####.#.#.#..##.#.##..###.##...#.###..####.##...##..###....##.#..##.#.#.#.##....####...#.###.###.####.#####.#...##.###.#.##.#..##..##.#.###...##.##......##.#...##.#.#.#.#.##.#..#####.##.##.##.######.###.........###.###..#.#.#.#.......##..#.#....#.....#..#.#..##.###.#..#.##.##.#....##.######.#.#.#.#..####...####..#.###..#...######...###..##.#..#.#.#####.......###.##
##.#.#.#..#..##.....####.#.....##.#..####.#####.#...##.#.#.#.##...#.#.###.#.#.########..####.##.####.......######.#####.#.####.#.##########....#.##.#.#.#.#.#.#.#####.....##........#.##..#..##...##..####...#.##.........###.#.#..##.###..#.##.##########........####...#.##..####.#.#.##..###.###..#..#.###.#########.#.#.##.#######.#...########.#.##....#.##.#.##.#..#########.#.#..##.#########.##...##..####....##.##..##.##.....#...###..##.##########.###.###........#...##.##.##.......###.##...###.#.###.#..##..##.##.#.....##....#.#..#..#######.###..##..#.#.#.#.#####....#.#.#...#.##.........##..#.###....###......####.##...##..#..#.###.#.#..###.#..#####.#....#.##.....###...#.##.....##..##.#.#.#.#..####.##########.#.#.#....#####.#.#.#.#.#.####.###.#.####.#.##..#########.....##.###.#.##...##.#..##..##...##.#.#...##...#..##.##..#.##.#.###.#.##.##..##..#
#..######.#.###.#.###......#.#....#.#####.#.......######.##########.###...#.###...#.#####....#####.#.#.##.##.......#.#..#.#.##.#.###...##.###.####..###.#.#.#.#.#.....##.#####.####.#..##.#.##..#..#.####..#.#....######.##...#.#.##########.#...##.##.####.#.#.####.###.#.######...#.#.###.###..###.##.#.#.....##.#....#.#.#.......########.#......#####.#.####.#.##.#####.##.....####.##.....##.....##.##..##....#.##..##.##..##.#.#.#.#...##.##.##.........##..#...###.#.##.#.#..##..##.##.#.#....###..##.#...#.##..#.##...#.##.#####.#.#####.##.##........##..##.#.#.###.#.....##...###.#.#....#.#######..##...##.#...##.######.######..##.##.#..##.#.####...##....##.###.##.###.##...##.##.##.#.#.##.##..#.###.##.#.##.###.#.##...###.#.#.##..######.#.###.#.##........#.#.#..##.......##..###..#..##.#.##.######.########.###.#.#.#..##.###..#####.#.####........#..#.##..##
#####.#.#.#.##..#.#...#.#.#####.###.#.....#.#.##.##.......#.#.###...#...#.#...#.#.........##.#.......#.###########.#.##...#.#....#.###.........########.#.#.#.#.####.##..##....#....##.####.##.##.####....#####.#.##........#####..##..........#..........#.######.......#.#......#.#.###.#.#...##.####.######.##....#.##.#.##.##.#...##.......#.#.##.....###....#.#..##.....##.##.#....##.##.#####.#.##..##..##.#.#.###.##.##.##..#.#.#.#.#.##.#..#..##.####..#.##.#.#.#.#..######.#..########.####.....#####.#.#..##.#.###.##.##..##...###.#####..######.#.###.###.#.#..##.########.#.##..###.##.#.......#.##..#.##.##.###....#.#.##.##..###.##.##.##.#..##..#.###.#.##.###..#.#....###.####..#..#.###...##.#...#..#............##.#..##.#.###..##......#..##....#.#.##.#...########.########...##...##..#.##......#.....#.##...###.#.##.####.##..#..###...##.#.#.#.#########..#
#...#.....#..##.#.##.##.###.##...##.##.##...#..###..#.#.#.#.#.....#####.###.#.###.#.#.#.###..##.##.#.#...##.............#...####.....##.##.#.###........#.#.#####.....##..##.#.#.#.###...##.##.#.....###.##...###..##.##.#.##.....##..#.##.#.#.##.###.#.#.####.#.######.##.##.#.###.#.###...#.#.#...#.####......####.#.##.#.#####.##.######.##.#.#..##.#.######.####.####.##.#####.#.##.#..#..##....###..#######.#.#.#...#...#####.#.#.#.#.#..#.##.##.#..#....##..#####.#.##.##..#####.#.###.#..###..#.#.#.##..###.##..###...##..#.##..#......#.#..##......#...#...#.#.#.##..#........#####...#.#..#.##.####..##.###..#....#.##.........##...####.####..##..##.#.#...#.##...#.##.###.######.######.#.####.###.#.###.##.#.######.#.##.#.##..#.....##..##.#.##..#.##.###.##.##.###.##.##.#####.###.#########.#..##.#####.###...##.#...###..#......###...##...####.###.#.......#.#.##
###.###.#.##.#..#.####..#......############.#######.###.###...##.##.....##..####..#######...##########.###..##.##.#.###.#.#.##.###.############..##.##.##.#.##....##.##..##..#.#.#.#...#.#..#####.#.##....#.#.....##..#..#.#..##.###.##.##.#.###..#...###.##............##########..###.##.##.#####...###..##.#.##...####.###.#....#..#.#...#..###.###.#.#.........####.#.##.#.#...#.##.##.##.####.####.##.......###.######.##...#.#.#####.#.####...###.###.#..#####.#....##....##.#.###.#.#...##...####...###.##..###.##..#.##.##..####.####.#.########.#.##.##.#.#.#.#..##.#####.##..##...###.##.#.##....##..#...##.###.##.##.##.#.#######..##.....##.##.###.#.###.#..#.#.###..##..##.##....##.#.#...##...###..#####.###############.##.###.##..##.##.#.#..#####..##..#..#........##.........#.........#.#.###...###...#.#..#.##.##...##.#.##.#...#..##.##.....######.##.##.#..#
###.....#.####.##.#....####.#.##............#.....#####.###.#.#...##.#.####.#....###.#.#..#.#.....#.#...########..###...#.#..........#.#.##.#...##..#..#..#.#####.#...##.###.#.###.#.###.#.##.##..#.##.#.######.#..#.#############...############.##.##......#####.####....#.#.....###.....##.#.....#.....##..#.####....#.#.....#.#####...#.##...###...#######.##.##....###......#.#.#...###....##....#.##.###.#..##.#.......###...####.#..#...##.########..##.#.......##..##.###.....##.#...###..#..##..###....##...#.#..####...##..##.....#.#..........#.##.######.###.##..#.....###..###...####.#.##.#############.##..##.##..#.#...##....##..#.#..#.#....#.#.##..##.###..#######.......#.##..#.#.#.##.#...##.....#####........##...####.#..##..###..####.#...##..#.##.##.#.####..##.##.#######.#########.##..#...#####.#.##.#...###.###########.#####.###.##..##..#..#....####
#...#.#.#....#..########....#..#.#####.#.##.#.###.#...#.#...###.######.##.#########......##.###.#.....#.#........##...#.######.#.#.#..........####.###.##.#.#.....##.##..#...###...####..#.#.....##.##.#..###...##.###.........##..#..##....##.###############.#.####...#.##...###.##..#.#..#.###.###.##.##..##.#....#.######.###.....#####.##.#..####.#..#.....#..####.####.##.####.#####...#.###.##.######...##..#.#.##.##..##.#..##....##.########......###########.##.###...#####......#..###.##..##...###.###.######.##...#.#..#####.######.###.#.###.##....##...##..##.#.#.#...##..##.#..#.#.#.#.....#.##.....#.###.#####.##.##.#####.####.#.#.##.#.#.########..######..##.....#.#.###....##.###.#..#.###..#######.#.#########.#......##..#######.##.....#..##.###..####.###..##...#.......####.###.#..###.###.###.######.###..##.........###..##.#.#....##....###.##.#....#
###.#.###.#####.###.#..####.#.######.###.#..###.....#...#.#.#....#.#...##.#...###.##.###..#####.##.#.##.#.#.#.#.#####.####.#####.###.#.#.#.##.##...##..##.#.##.#.##..######.##...#.##...##.##.##..#.#######.###.##.##..#.##.##....##.##..##....#.##.#..###.##..#.##...###.##########..##.#.######.#...##.##.##..####.####..#..#...##.##......#.####....##...##.##.##..#.#....####....#######.#.#....#..##.###.##..##.###..#..##..##..#.##.##.##..##.#####.##....###.##..###.#.###.....####.##.#...###.##.#...###......#.#.##.###.##.##.#....##.###.#####...##.#.##..###..#####.#.##.######..##...#.#.#.#.#......#######.#.....#..#..#..##...#.#..#.#..#.#.#..##.#####...#.##.##..##.##.#...#.#######...##.#.#.##...................#.##.#########.......####.#.##.##...##...##...######.######.#..........##..##..##......#.#.###...####.#.##.###.##....###.##.##.####.###########
#...#.#.......#.#.....##.##.###.#........#########.##.#.#.#.#.####.###.#....#........##..##...####.#.##.#.#.#.#..##...#...........##.###.###..###.####.####.##.#######......###.##..##.##...####.##.#............###..##.##.#..##..####.##..##.#....#.##...###.#.#..#.#....####......##..#.#.##.#####.#..######.##....#.##...##.#..#.###.##.##..##..#.##..#.##..#..##.....#.##....##.#....##.#.###.###.#...#..##.##..####.#.###.####.###...#####....##..#######........###.....##.##.##....##.##.##.#.##.#.###...#.####.#.##...#.##.##...####.......#.##.####.#..#.##...##.....######..#...####.##########.##.#......##...###.##.#.##.##..#...####.#.##.#.#.##...##.#.###..#######...#.#.###.......##.#####...##.#.#.##.#.#.#.########....###.#.######.##.##.####.#..####.#.##.#...##.......##.##.##.#.#####.####.##.#.##......###.###...#..#.##.....##.##..####........#...###..#
###.#####.###########........##.##.#.######...###..##.#.#.#.###........##.####.#.#.#.#..##..#.###..#..###################.#.#.#.#..#.#...#...##.....##.#....#...##.....###.##.#.##.###.##.#.#.....#.##.#.#.###.###...##...#######.###...###.#....##....###.........#####.###..########..####.....##...#.##.......####...####.#..#.##...###...##..##.#.#####.###.####..#.#.#####.#..####.#....#..##...###.#...##..#####....#...#.##...#######.....##..##.##..##..##.#.#.#.#.#.#.##.##..####.##.##.#.....###..##.###...##....###.#.#..##.#..#####.###......##.#.#.##.#..#..#########.###.##.##....###.#..##..##.#.###.#####...######..#..##.##.##....#.##.########.......##.###..##..###.#.###.#.#.#..#.#.....#..#.#.#..#####.#####...##.#.##.#...#...##.##.....#.####....#.####.###.###.##.#..#..#..#.#.....#...##.##.#..###.##...#.##..#.##.#..###.#..#.###....##.##.##...###.#.##
######.#....##.#..##..#.#.##.#...#####....###.....##..#.###.##..#.#.#.######.##########.#####.#...######.#.#.##....###.#..###.###.######.##.###.#####..##.#.#.#..##.#.####.#....#..##...#.#.####.############...####..##.###.##...##..#...####.#.#####.....#.##.##...#.######.####.....##.####.#....###.#####.#.##....#....#.#.##..#########..##.#..#.#.#...#....####.#.#..##.#.#.##....###.##.####.##...###..##..#..#######.#########.#.....#.#..##.....##....##..###...###.#.##..######...#.##.#.##.##...###.####.####.#...######..###.##.##..#...##.#....#.#.##.##.#.##.#.###.....#.....####..#....####..#.#..##.##....####...#####.##.#...#.##.#.##.##..#.###.##.#........####.###.#...##########.#.#.#.#.##.#.##....##.......####.#......#...########.##.#.##.###.####......#...#..###.###.##.#.##.#.###.##...#.##.###..##.##..##.#..#.##.###.####.#...##.#...#.###.##.#.#..#
#.##.....##.##.##....##.#.#..###.#.....##.#...##.######.##...##.#.#.###.###.......#.##...###....#..##...........##.....#.####.##...###.###..#.....#.#.##..#.#.#########....##.#.#.####.####.#....#..#.##......#.#....#####....###..##.############.....#.###.####..#...###.........##.##.......###.##....###..#..####.#.#.####..##..##.#.#...##..##.#.#...#.#.#.##.#..#.#.##....#..##.####..##..##..####.##..####...##.........####.#....#.#.###.####.##....#.####.##..####..####.###.....#.########...###...#.#..#..##..#.#.....##.##......##.####.####.#.##.#.##.##.#.##...#.#####...#.#...###...#.##.##.##.##..#..#.##......#####.#..####.##.#..#.##....##.....##.##.#.######.....#.#.#....#.#.###.#.#.###..#.#.##.##.#..#.#.#....#####.#.###.#######...##........#...##.##.#.#.###.##....##..###..#.#..##.##.#.#..#...####..###.####.#####.#....###.##.##..##.##..##.#......##
#.###.##.##.#.....#.##..#.##.#...#######....#.#..##.....##.#..#######...#...#####......###...####.####.#.#.####.#..#.#...#.....##.##....###.##.##.#...##.##.#.#....#....##.#..#.#...##.#....##.#...##.#..###.#######.#.....##.####..####.##.#.#.######.###...#....###.##...####.#.##...#####.####...##.#.#...##.#####.#.#..##..####......##.####..###.###.#.###.#....######..#.#########.##.##.####..##..######.#.#..##.##.#.#..##....#.######...#.#..#..##.####....##....####....##..#.#.#....###...#..##.######...##..##.#.#.#.##.#..#.#.##..#....#....#..#.#..#..###..###....##.#.######.##...#.####.##..#####.#.####..#.##.......#.####..##.#.#######.#####.#.##..#.#......##.#.##.#.#.####.....#####...#.##.###..##.##.###########.####...#....##.##.####.###############.###...######.##..############..##.#.#.##.#....##...#..##..####..##.#...###...####...##..#...#.#####
#......#.#..###.#.#..###########.#...###.##.###.####.##.####.###.#.####.##########.###.##..#.#....##...###.#....##.#.##.###.####..#####.....#..#..##.#####..#.#.##...#.##..####.#.#.#####.#..#######..####...#...##..##.#.##.......###...#.............####.#####.#.######.##...#.###.########....###..####.#####.....#.#.##..###.##.#.#.##...##.######...#.###.##.#..###...######.#.#....#..#.##...####.#........####..#..#.######.###..##....#.#...##.##..##...#.####.###....##.##.##.#.##.###.#####.###.#..##..#..#.#####.#.#..###.##.#..#.###.#.#.#.##.##.#.#####...#######..........##.####.#......###....##.####...##..#.###.#.###....##..#...#.##..##....#..##.#.#.#.####..#..#####......######.##.###..#.####.##.##....#.........##..######....##...##.######.#....##....######.#.#.###.#..........##.##.#.#.##.###.##..#.##..##..#.#####.###...##.##....#.#..##.###.....#
#.##.#.#.#.##...#.##.####.....#....#.....#...####.#######.#..#......#.....##.....###....##.#.###.#####..##.##.#.#..######.#....##.#.....#.#.#.###.#....##..###########..##..#####.#..##.#######......##.#..#.#.#....#######..#.#.###.###.#####.#.##.####....##......##.....#..#.#..##.#....######...##.#....##..#####.#.###..##...#..#.###..#.#..#......#.###...##.##.#...#.#.#.#..#...##...##..##.##..#.#.##.#.#.##.##.##.#....##..#...##..#.##################.#..#.#..###.#.#..#...###.##.##....#...##....####.#.##..##...#.#.###...###.##.#...###.#.##.#..#######.#.#.......#.##.###.##..##..#.#.####.#.####.....##.##..##...#.#..##.#.####.#.#...###..##.###.##..#.###....##.##..##...##.#.........#.###.##....#.##..#.#.##.###.#.#..##...######.###.###...........######.#..........#..##...########..#..###.#.##...####.##..##.###.....##..##..#.#...#.#.##.#.##...###.#.##
#.#..#.#.#.###.##.#..#..#####.##############..##....##.##.#########...#.#.#..#.#..###.#.######...##....##...#########.##....#.###.#####.#.#.#.#...##.#.##.####.##.#....####.#.....#.##..........#.##......##.#.#.##.##.##...#######..###.......#.#..#....#.######.#.##.#.#.######.##..#.##........#..####.#.##.##.#...#..##.#####.####.##..#####.####.#.#.##..#.#..#..#.#.#.#.#.##.###..##.######...##...#.##.#.####.#..#..#.#.####.###.###.###.#............###.##...##.#.#.#.##.##.##....###..##...#..##.#.#.#..#..#.####.####.#.#.#..##.#..###.#...#.##.##...##....######.##.#.#...#####.###.##.#.#....#.##.#.#.#.##..#.##..#.###.##..#.#....###.#...#.#####....##.#...##.#.#####.###.#.####.####.#.##...#.###.#.#..##.#.#.....#########..#......#...###...##.########...##.#.#.##.###.#.##..#.......##.###...#.#..##.###.#####.##..##.#.#.###.##.#####.####..#.#.#..###.#.#..#
###.##.#.#.#....######.##.#.......##.........####.#....##.###.###...#.###...##.##.....###......#.#..#.#######............##.#...#.#.....#####.##.##..#.####.#.....#.#.##....#.##.##..##.##.##.#.#####.##.##########.#...#####.#.#.#.##.#####.#########.#.###.#....#.##.#.#.#......##.####..#.#.#.##.##....#.#.......#.#.###...##.......#..##.#.#.#....#.#.###.####.##.#######.#........##.......##.##..#.######.##.....###.#.#...#####..#....##.############.....##.#..###...#.##.##.##.##.########.##.##..#.#...##.####......##...#.#.##..##.#...###.#.#...#.#..##.####......###.#.#..##.....###..#...#.##....#####.##.##..#.#####..##.##.##.#...#.#.###.#.....##.##.#.#..###.#.......#.#...##.########..###...#.#.#####.#.#######.#.#.#.######.#.####..##.#..#..........###..###.##...#.#..######.#####..##..#####.##..##...####.########.#..##.##.#.##..#.#..#######.....######
#....###.###.#.####.##......####.#######.#.#....#.####........#.#####.###.#################.#.#####.#.....#####.######.#.#..#.###.###.#....##.#...##.#.#......###...#.###.#.####..#####..####.#.#.....##.#..###.#.#.##.##.........#.##..#.#####.##.#...#.##....#.##.####.#.###.##.##.##...##.#.#..######.#####.#.##.###.##..#####.#.#.###......#####.##.#..####.....#.####.#....##.###.####.##.##...##.#.##.....###.##..##.#.#.###.....#######........#.######.#.##.####...#.#.#...#.#...###...#.##..#.###.#.#.#..#...#####.#.###.##.#..##..#.###.###.#.##.##.##.##.##...#.##.##..#.##.##.###..##.##.#.#.##.##..#.####..#####.#...#.###..####.#.#.###..##.##.##.#..##.#.########.#.#.#.#.#.####........##...#.#######.....#...##.##............#.#....##..###.###.####.##...##...#.##.###.##.....##....##.####....##..##....#..##........##.#.###.##...###...##...#.#...#.#..#...#
#.#.##...##..#.#....####.#.###...........#.#.######....#.####.#.......#....##...............#.#.....#.#.###.#######....###.##.#####...#.#####.##.##..####.#.#.####.##...#######..##.....##..#.#####.#..#.##..#....###..###.##.#.#...###...#.#.#.#....#.####.####.####....###...##.#..####.#..###.###.....##....###..##...##.#...#.#.#.##..####.#.....##.####....##.####.#....##.##.##..#.....#####.##..#.##.#.#.#...##.###.###...#########.#####.##.#..........#..#..##..#.###.##.####.#.#####.#....####...###.#.##.#..###..#.#....###.##..####...#...#.#..##..#..######.#.#..##.##.##..#...##..#.#..###.##..##.....###....##...#.###.##..##..#.#..##.##..##.#..##.##.#........#.#.#.#.#.#....#.#.########.##.......##.##.#.#.......##.##.######.#.##.##.##....##....#.##.#####.#####...####.#.#.#..########.##.#..##..#.#.###..###.#.#.###.#...#.##.#...#.#..#.###.###.####...#.#
#.#.##.#..#########....#####...#####.#.#.###.##..#..#.######....#.###.##.#.##.###.#.##.#.#######.##.#.#.#...#..#..####.#....#.#.....#.#.....#..########.#######.#...##.###.##...##..#.#####...###...########.####..#..##.##########..####...#.#.####.###....##......###.#####.######..##..#.##.....###.#.####.##...####.##....#.#.#.#.###....#.#.###.##..##..#######.#....##.##.#..#..###.#.###.#...##.###..#.###.#.##...###...####.....#........######.##.##.##.##.##..##.##..#...##..#.#.......##...####..####.##.##...##.####.#.##...##.#.#..#.##.##.##..#.##.####....#.##.##.######.##.####.####.###..##..#.#.#...#.#.##..#.####...##.##.##.##.##..##.####.##...#.#.###.######.#.#.#.##.#.###.#####..####.#.#.#.####..#.#.##.##..#.##.######.#..#.##..#.#.##..##########..####....####.#.######.....###...#.#####.##.#...##...########..#.###..#.#.#.#.##.#.#..........#######
#.######.######.#####.###.#..#.#.....#.#.##...##...####.##...#.##.#...##.#.#..###.#.#..###.......##.#.#.###.##.##......##.#.#.##.#.##.#.#.###.##...........#......#.####...#..#.###.###.....#.#...#.##..##......##...###.###.#.#..#.##..###..........######..##.#.#.##..##....#....##..##.#..###.#..####..###..##.###....##.#.#.#.#####...##.######...##..##.#.........##.#...###.###.#.###.....##.##..##..####...###..#...###.###..###...##.##.##.##...#..#..#...#..#####..##.###..##.#.#######.#..#...###...##.#..###.###.#....#.##.#.##...##.#.##.#####.##.####....##.#.##..#...##...##..#.#.##.#...##..#.####.#.#######..##.##.#.######..##.##..#.###.#.##.#..#.#.####....#.#..#.#.#.##.#####.......###.###.#####....##.####..##.####......###.##.#..##.#####.##.....#...###.##.#......#.....##.#.#...###.....##...#.##.##..####.#.#.######...######.#.#######.#.##.##....#.##
#..##....##..#.....#........##.###.#.###..##########....##.#.#..#####..#.####.#...####..########.#..#.#.###.....#.##.#.#..#.#..###..###.#.#####..#.#.#.###.#####.##..##..#...##.#....######.#####.#..##....###.#####.##....#.#.##...##.##...#.#.#.#.##......#####.#..##.#..#####.#....###.##.#...##.#.###.#...##....#.#.###.#####....##.#.#####...#.#..#######.##.#.##.##.#.#.#...#...#.###.######.##.####.#....#..###.#.###...#...######.##.#..#.....#.##.#.##.#.##.##....##..#...##..#.#.......#####.##.##.##..##...#...#.##.#####..###..#.######....##...###..###.###.###..####.####..##...#.##...#..##.#...##.#.##.########..#.#.#.#.###..#.#..##.##..#....##.###....##.#...##.#.###.##..##...###.#.##...##..#.###.###.....##.##....##.#.#...#######..#.#........#.#...#......###.#######.#######.#.#...##.######.##..#..##..#..........#####......###.....##..#.##..#.####..#
########..##...#.#...#.###.##..##..#.##..##.#..########.#..###.##.....##.##...#######..##.##.....##.#.###...#.#...##.####.#.####...##...#.....##.#########.##....###..##.##.##..##.#.#......##....##.###.#.##..#.#.#.#####.....####.#.....#.#.#.#####..###.##.#...#######.##...#.#.##.#...##.###..###.....#.#..###.##.#.#.......##.###..#.....###...#.###......#..#.##..###.#.#.#.###.#......##..####.#.#####.#.#.##...####..#.##.##.......#.##.##.##.###..#.#..#.##..##.###..####..##.#.###.#.#....##.##.....##..#.#.#.#.#.#....####.##..####.#.#..#.###.#.....##...#...#...###...#.##.##..#.#####.##.###.#####..#.....#.#.....##.........#.##.##..#..##.##.#.#....##.#.##.##.##..#...#..##.##.#...#.#....#####....##..###.#.##...#.##.########..####.##########.#.#########.#.#.##......##......#####.#.###....#.####..##.####...###.#.#.##...#.####...##.##..##.###..##..###.##
#.....##.####.##########...###..##.#.#####....##..........##...##.###..#.##.#.#.......##.....#.#.#..#.#...#.###.#..####...####.###.####.#.##.##..##...........##...##.##.#..##.##########.#.##.#.#####.#.#####........#.######.#.#....##.########.....###..##...#..###....##.#.#.#.#####.#####...##...##.##.#.##....#######.#####....##.##.####...#.###...##.#.#.##.#..###..#.############.#..##.##.###.#.#...#.#..#######..##.#..########.#.#..#...###...##.##.#..##.##...##.#....###.#######.##.#..#..###.###..##.#.#.#.#.#.#.##....##.##........####...#.#.#..#.#.###.##.##.###.#.....#.##.##....##.##...#####.#.###...###.#....##.###########..##.##..##.####.######..####..#####.###.####..##.####.######.#.####..##...#..##.##.##...#.#.###..##.......##....#.#.#.###.#.#######.#.#..###.####.###.######.#....##..##....##.#...#####.#..###...##.#.##..#.##....##.###......#
###.#....##.###.#.###.#..#..##.##..###.###.##..###.####.#.####..###...##..########.##.####.#.#.#.####.#.#.#.#...##.#....#..##......#....#..##############.###.###.#####..##..####.#.#.#.#.#..######.#....##....#.#.##....#.........####..##..#.#..#.#...#.##..#.##...###.#####...#..##.###.#...#.##.#.#...#####..#.###..........#.#.##..##....###.#...######.#.###..##...#######.##........#.##......##.....#.#.##.##......##..####.##.....####.#####...#..###..#.##...##.######.#.#...#........####.#.##.....#######.#.#.#####..##.#.#..#..####.#.##...###.#.#.######...#..#..##..#.#.######.##.#.###.#..#.#...#.#..###.###..##.###........#.###.##..###..###......#.###....##.###...##...##..##..#.#.......#.###########.##.##...#..#.#...#.#.#####.####.##..#.##.........#......##.###.##.###.#....#......#.##.#####.##.##.#########.##...########..#.##.#######.###..##.##.#.#
#...####.##.##..........##.##...##.##....#####.....##...#..##..####.#..#.##........#..#..#######.####.#.#######.#..#.#.##.#####.#.#####.#.##......##......#####.....####.#..###...........##.#..#.....#.##..#.######..##...#.##.#.##....####.....##.##.##..#.##..##.##...##.##.#.####..#...###.#.##.###.#...##..##.##..#.##.##.##.#####.##.##.#...###.#......######.##.###.#.##.....####.#.#..##.##.####.#.##.#.##..##.###..#.##.......###....###...###.##..###.#.###.###.#.#....#.#.#.###.##.####.###.####.#.....#####.#..##...##..#.##.##.##...###..#.#####.#..##.##.#.##.#.##..##.#...##...##.#...#.##.#...###.##...#.#.####....##.##.##.....#.###..##.#####.#.#....##.##.##...#.#..##.###.####...##.######.##.....##....#.####.####.###......##.#.#.########.#..#############.###.#.......#....#.####.##.#.##..#..#.##.##....###.#...#.#....######.#.##.....##..#.##..#.##.#.#
#.#.#....#.....####.#.#..#####.##...##.#..#.##.###.##.#.##.######.#.##.#..#######.##.###..#.######....####......##.###.#...##...####..#.#..####.#....##.#.#.#####.#...####.###..###.#.##.###.##...##.##.#..######....##..#.###..#####.#.##...#.#.#..#..###.#####.##.###.##.....#.##.##.###.##..#.##.##..#.###..##..########..#.##...##..##.####.#.##..#.##.#.###.##.#..#...#.#..##.###...#.##.....###..#.#..#.#.#########..#######.#.#.##..##.##..#.....###..##.###.#...#.#.##.#.#.#.#.#...#........##...##.##.##....##.#.####.####.#.##.##.##.#...##.#....##.#.##.....######....##..#.######..#.#.######.#.#...####.###......##.####.##.###.####...##..####....#.#.####..##.##.#.#.#.##..#...#.###.###...........#.#..##.#.#.#......##...##.#.#.........##.#....##.....##.########.####.#.##...######.#########..##.####..#..##.......#.###.##......#.###..##.####....##.#..#.#.#
#.#.####.##.##.#....#.#.##.....###.######......##..#..#.#..#..#.....#..#######....#..#.##....#.##..#.##....###.##..#...###..##.###.##...##.#....##.#.##.###.#.#...#.###..###.##.##..#.#..##..###.##..########..#..######.#.####.##....#.###.######.###.#.....##..##.#....#########............##.##.#..##..###.##.##.###....######.##..##.....###.##.#########...#########.....#####...#.#.#..##.#####...#.##.#.#...#.....##.......###..##..########.##..###.##.#.....###.#....#.#########.##.#.#.#.###.##..##..#.##..###.##.....##.#..###..#..#.#..#.###.##..#..##.##.#......#.####.#..##....##.#....##..#.#.####.....#.##.####.##.####..##.####.#..#.##....#.####....##..#.##.###.#..#.###.##...#.#.####.##.#.#.####.##.#.###.#.#.##..####.#.#########....#.#.##..#.#.##..#....#...##..#..#.#.....##.......####......##.###.##.#######..##..#.#.####...##..#.####.##..###.##.#.#
#####....##..###.##.#####..##.##.###.##.####.#..#####.#.#.###...##.###...##....#.##.##....##......##..######....##.##.###..##..#....##.#####.#.#######..#.......#.#..##.##......#..##.#####.##....####.#.##.##.##.##.....#.#....#..#.####...#......#...###.###..##..#.######.#..####.##.#.#.#..#..#.##.#..##....####.#.###.##.#.##.###..###.#.#...####.##.#.####...........#.#.##.#..#.#.#.#.##......###.#.##.#.###...#.#..##.########.##..####.##...#..##....####.##...####.#.#.##.....#..#..#.###...#.###..##.#..#.###..##.#.######.#####.#.##.##.#.###..##.#.##..#..#.#.##.#..##..#.#####.##..#.##..##.###....###.########........##..###....###.##..#.#.##.#....######.#.#....#.#.##..##.##.#........####.#.#..#.####.###...#.#..##..##..#..#.##.########.#..##.#.#..#.##.####.#######.#####.##....###.###.####.#.##..#...##.....####.##.##.######.###..##..##...##..#####.#.#
##.####.####.###.#...##...######.........#.#.####...#######.#.#.####.#.#.#..####.##..##.#..##.#.#.###.##.....#.###.##...###########......#####.#####...####.#.#.#.##.#...###.#.###.##.##....##.######.......#.....#..###.#.##.#.#.##...##.#.#.#.##.###..##..###.###.#.####.#.##.#.##.##.###.##.#######.######.#.##..............####.#.###..#.#.#...##...........#.##.#.##.#####....##.#.#.###..#.##.#...#..########.##.#.##..#.........##.##....########..#.###.#.##.#.##...#.#..#####...##.##...#.###.#...##..#.##...##..#.#....##..#.....#.##.#..###...##..#..##.#.#######.#.##..##...##...#.##..#.###.##..#.###.....#.##..#.###.####...##.#..####..##.#.##.##.#..#.#.###.#.#.####.#..##..#..#.#.#.##....#.###.##..##....#.#.#.##..#.####.##......#......#.#.##..#.##......##...##.##....##.#####.#.##.........#.#..####.#.##.###...##..#.##......#..###..##.#..#..##.....#.###
#........#.###...###.#######.#.#####.###.......##.#...##.#....#.#......#.#.##....#..##..##.#..###..#######.###.##..##.#####.#.#.####.#.#....##..##.##.##.####.######.###.....#.#....###..#.######.#.#######...######.##..#.#..#.#.#..###..#.#.###..##..##..##....##.###...............#...###...##.##....#.#..#.#..#.##.#.##.##.#.#......#.##.####.##..#####.###.######.#########.#.#..#.#..##.##.##.##.##.##..#.....##.#..##.###.###.##########..#.#.....##.##....##.###..#.###.##.#.##.######.#.#...#.#.###..##..#.#####.#.#.#####.##.#.#.#.#####.#...#..##.##.#..#..##.....#..##..###.###.##..##.#.##...##.#...#.#.#.#.###.#...###.#..#.##.##....#.##..#.##.#..##.......#.#.#....#.##..##.##.###.#.##.####..##..##..#.#.##.###.##.##.#.#...#.#.##...######.#.###.#####.######.###...##.#.....#.####..###.##.####.#.##.#..#.##.##..#..####..##.##.###.#...###.#####..##.####...#
#.#.#.##.#..#..#.#....##.............####.#.#.######.##....#.##.#.#.#.#############.##.########...##.#.#.####...##.#..###............###.#.######.....##......##.#.####..###.####.#.######.##.#.#...........######.#.#..#######.####...##.############..##.####.##...######.#.#.#.#.#.##.###..#.#.....#.##...##.#.##..###.##..#.#...#.#.########.#######.....######.#####.##.#.##.####.#.##..#.#...#.##.#...##...#.###..#.##..#...#...###.##.####.....##.##..#..##..##############....##.##.....###.###.#.#...##..##.##....###...##..##.#.#.#..##.#######.##...#.####.##..##.##.####...###...#..##..#.#..#.#..#.#.#.#.#....##.#.###...##.#.##.#..#.#####.##..####.#..#.###.###.#.#.####..##...#####.###.....##..##..##...#..#..##.##..#...#.#.#.#..#.#.....######.....##.......#.#.#.####.##.##......####.####....#.#....##.#.#...##.##....####..##...#####.##..#.....##...##..#.#
#.#########...####.#.######.##.#.#.###.#..#.#.##.#......####.##.#.###....##...#......###.###.##.####......#...#.#####.#...###.#.#.#.##...#..##....########.##.......##..##...##.#####......#..#.#####.##.#.###.......####.#.#...##...####.#............###...##..##.##......#.#.#.#.#..#.#...##.##.#.##..######.#..####....#.#####.##.#.##..##....#.#######.##......#.##..........##...#.##.#####.##.##.#.#..#.###...##.###..#######.##...........#.#.##.##.###..##........##...#####.##.####.#..##...#.###.#.###.##..##.#..##.#.#..##..#.#.#.##...##......##.##.#.....#####..#.#..#.#..###.###.###.#.#.#####.#####.#.#.##..###...##.#####.##.#.##.....#.#####....##.#...#..##.#.#....##..##.####.....##.##.##.###.####.######..#.##.##.#.#.#.###.##.#.#####.##...#.#..##.#.##.......##.######..#.#####.#....#.#.######.###.####.#########....##.##.####.###########.####.######.#
####.##.#.##.##.#######.##..#..#######.#.##.####.#.##.######.#..#####.##.#..#...#.#.####........##.######...###....#####.##.#######.#..#.#.######.####......##.#.#.####.###.##.....##########.....##...#####.###.###.##.......#.#..#..##..#.#.#.#.##.#.#...#..##.######.#.#.#.#.#.#.#.##.###.#####.#..#######...#.##....#.##...##..#..#.###....##.......#...#######.#.###.####.##.####.#.##.##.....######.##.#.#...#.##.#######.##.#####.##.####.##.#..######.#####.#.#.####..#..##.#....#.####.####.#####..#...####.#####.##..####.#####.###.#..#....##.#..#..#####.######..##.##...####.....#.#...#.###.##....##..###..##..####......#####..#..##.##.###.....##.#..######..#.#.#.#.####.#####.###.###...###....###..#.....##.##.##..#.#.#.#..##.####.##.##.##.###.####..#..###.#.#..#.##.####.#.###.....########.#.##...####......#.#######..#.##...........##.......##......#.#
###..........#......#......###.##........##.#......#..#......##.##....#####.##.#######.#####.##.#....#....#..###.###.##..#..........##.#.#.#.#....#....#.#.###.###...####...#..###.#...#..#.##.##....#.#.........#...##.##.##.####.#.####.#####.#.##.###.###.#####.#.######.#.###.#.#..####..#.....#.##.......#.#..##.#.#.#..#..##.#.##.#...#.#########.##.##.....#.#..#####.###..#....###...#.###.######..#.###.#.#.####..#.......##.##.#..#.....###.###.....###...#.#.##...###......#.##........##..##...##.#....#..##....##.###....##....#.#######.##.##.##.##....#......###.#..#...####.######.##.#......######..##.####..#####.##.....####.##...#..#####.######.....###.#####.###.####.........##..#...##.#...##...#.#..#..#####.#.###.#.###....#....#...####.....##.##...###.##...#.....#.#...##.#.##.#.#.##....#######..#.##.........#######.#.##.#.#######.#.#.##.##.#.#.#
#...##.#.##.###.###.#.##.#...#######.##.##..######.##.#.##.#.##..##.#.#...####..##.#.#.#.#.#########.##.#.##..##.#....#######.#####.##.#.#.#.##.#####.##.####..#######.###########.###.##.#....###.#.#.###.#.#.#####..#..#.####....#....###.....#.#..#....##.##......#.#.#..###...#.##.###..###.#.######.#.#.##.##.##.#.#.##.#.##..#..#.#.#.#######......######.#...#.##.##...##.###.#..##.#####.....##...####...###..####.#######.##....#####.#.##.....###.#...###.##########.###.##.#.###.#.#.###..#####..####.#.#######.###...##.#####.###.####.#...#.#...#########.#.##...####.#.#.#.......#.#.##.##.#.#....##..#########.....#.##.#.#....#..##.##.##.....##.....#####.####.##.......#######.#.####.##.##..#.####.#.#########.....#...#.####..#.##.##.#.####...##.##...###...####.#...#.#####.#....#.........#.######...####.##.###.###.......#.#.##.#....#.##.#.#.##..#.#.#.#
###.#..####.#...#......###.#.#...#.####..######.....#.####.#.##.##..#.#.#####..###.#.#.#.......#.##.....#.##.######.#..##.....#.....##.###.#....#.....#...#.##....##................#.....###.##...#####...#####.....#######....##.##.#..##.############.##...###.##.......##...#.#.####...##.###.....####.#.##..###..#.###..#.###.#.##.###.##.##...#.##........###.........#....##..##.##.....####.#####....###..##.##.....##.##..#..######...#..###.#.##..###.........##..........#####...#.#...##...###.##....######....##..#.#...##.....###......######.####.......#.#..#..##..#.###.#.#.###...#######.#.######...##.##...###.#..#.#.#.#.##.##..##..#.###.##.#.#..........#.####.##.##..##...#..##...#..##.#.##...#.......#.###.#.#.###....#.##..#.#.....#.##.##...###..##.#....#.#####...##..#.#.#####.#.##........#.###.#######.....##.#.####.###..###.##.#..###.##.##.###.#
#.####..##..##.#####.#.##..#.###........#####.#####.#.##.#.#.#...######.#.#.##.##........#.#.#......#.#.#..####.....##....###.###.#.##.##..##.#.##.#.###.##..##.###..#####.########.#####.##...###.##########.####.#.....##..####..##.#.########.##.......##.#############..###.###..##..#.#......#.###.##.#######...##..###.#..##########..#.....#.#####.#.###.#####.#.#.#.#.##.##.###.#..#.######.##....#####..##########.#...##.#.##......#.#.###..#####.####.##.############.##..#.#..#.###.###..#.#...##.##......####..#.####.#..#.#.#.#...##.#....##.....##.#.##.####.#.####.#...#####..##.#...##....#.....##.#.....#.#...##########.###...##..######...#..####.####.##....######.###....#.#.####.#####..#####.##.#.#.#...##..###...####.#..#.####.#.#....###..#...#.##..#.####....##.#####.#.#.....#########.###............#####.###.#############......##...###...#.##..#
#......##..######.#..#..##.#.#...##.###.##..........###....#.##.##.###......######.#.##.#########.#.#.###.##....##.####.#..##.#...#.##.###.#..#..###.##...##......###########.#.#............#.#...#.#.#...........##.##..#######.##..#.##..........#.##.##..##.....####...####.#...########.#.#.##.##.....##.##.##.##..##.###.##....##....###.##.#..##...#...###.....#.#.#.#.#..##...###.##.##......##.#..##.##..#.#.#.......#......##.#.####.#.#...########....#.........##.....##.#...##..##..###.####.##...##.###...##.##..##..##.#.#.####.##..##.#####.##.####..####.#.###..#.##.##.....##..#####..##.#.#.######.#.#.#.#.####.##.#.##...#######..##.##.#.##..##.....#.###.#....#.###...##.#.###..#.....##.....###..######.####.##..########.##.#.##.#.##.#...#.##.#.#####.#..###.#.##.....##.#.#.#.####.##.#.#...#.#.##.###.#....##.#.#..##...##.####.#.#.##..#############.#
##.##.#######.##....##.#########.#..##...##.##.#.##.##..#.#######...#..####.#.##.#####..##..#.....#.#.#...##.########...##..###.#.#.#....#.####.##...####..####.###.......#...#...#.###.##.###.#.#.#.#.#####.###.#..#.###.##......##.############.#.##############.##....#..#.####.##.....######..#####.##.#.........##....##.....##..######.###..##.####.#####...###.#.#.######.##.###...#..#######.##.#.##.....##...#####.#.####.#.####.##...########.##.#..#####.##.###..##.#.###.#.#.#..##..##.....##..##.##...##.#..#..##.##.###.###....###..######....##.#....##........##....######.#..#.##.....##..###....##..#.#.###...........##.#...##..##.....###..##.###.######...#.##....##.#..#.#...##...#.#..#.#.#...##..#.#.#..##...##........#.#.....#.#.##.#.#.#..###.....#.##...#####..#.######.###..#........##.####.##..####.##.#....####..####....#.#.#.###.##..#.##..##..#
#..#..##.##......##..###.##.#.#..####..###..##.#.#...######.#.#...#...##.......#..#....####...##.##.#.###.#..####.#...#.#..##...#.#.#.#.####....####..##..####....##.#.##.###.###.####..#....###.#.#...##.#####..#.####....##.#.#.##..###.........#####.#.#.##.#.#.#..##.##...##.#.####.#........##......###.#.##.#.#####.##..##.##..##......##..##..#....##.##.#########.##.#.#.##.##..#.####........#.#..###.######.##....#.###..#...##.####..##......##.##..###...#..##.##..#.##..###.##.###.#####.####.#...###.#####.#.###..#...#.#...##..###.#.#....#.###.#.#.#####.##.######.####.##.##.#####.##..##..##.########.#.##..#.#.#.##.#####.#....####.#.##...##..#.#......###.#####.#.##.#.#####.####.####.#######.####.....##..##.##..##.########.#.##.######.#.####...#.#.###..#..#.##.##..#.#####...##.#.#.##..###.######.#.####..##.#..#.#.###.#.##########.#....##....####.#
#.###.#...####.#.##.##..........##############.####.####.#......#.##.#####.###.##...##...####.#...#.####..####......#.####..##.##.#.#.#..##..#.##....####.##...#.########.........##.####.############.##.#.#...##.#.##.##.#..###.##.##.####.###.##................##.##..###.##....#.###.##.##.####.#.#.#...#.#..#...##...##.#..##.####.###....##..###.###.....#....#.#####.#....#.###.#.#....#.#.#.#####.#...#.........######...##.#.#..#....########..#.##.##...#.#.##...##.#..##.###.#...##.#.###...##.#.#.##.....##.###...##.######.##..##.###.###.##...###.#...##..##....##.....#.#####.##.....#####.###.......##.#..######.#..#.....####.###....#.####..##.#...#.#####..##..#.#.##.#.##....##...#.######.#.###....#.#######..#..##........##.####.##.....#....###.#.#.####.##...##..##...#.#####.##.###..##...#..###.#......##.##.##.......#...###.#.#......##....##.#.#..#
###.###.#......#.###########.##.#................##..#.#...##.#.###..#.#####......#.##.###.####.#.#.#....####..##.#.####.#.###.##.#.####.###########..##..####.#.#........####.##.#........##...#.#.##.#..#.##.#####.....######...####...#....##.########.#.####.#.....#.###...##.###.##..####..#.#..#.#####.######.#..#####..#.##..##...#...#.######.#####.########...........#.##.#...#.##.#.#.#.#...#.###.#.#.#######.###.###.##..###.#####.##.##.###....#.##.#.##########..#.###.#.#.##.##......#.#.##.#.#..##.#.##...####.##.##.##...####..........#..###...#.#.###.#..#####.###.......#.#####.##.......####.##.##.#.####.#..#.##.#######....##.#.#.#.##.##..###.####..##....####..#####..#.#####....##.#......###.##.##.#####.##.##.############.#####.##.#.####...#.#....#.#..#.##.##..#.......#......##.##.#...##.#.##.#########.##.#.#.#...#.......##.##.##..####....#.##
#....##.#.#.#.####.##........##.#.#.#.#.##.#.#.#.#..##.###############....#..###.##.#####....####.#.#.#.###...##..#####....##...#.#..#.###.#.....#...######....############.##.#..###.###.##..#........##........######.##...#..#..##..#...#.#####.###########...##.##.###...#.##.##..###..####...##.####.#...##....#.#######.#..#####.#.###.#.##......#....####.###.##.####.###.#####.##.#..#.###.#.###.....###.#.......#.......###.##..#.....#.........##...#..#..#.#.##....####.#.#...#...##.##.####..###.#.##..#..#.#...##..#.....##.############.#.##...##.##.#.#...##..##....###.##.#.###......##.##.#....#..#.####......##.###....#.#.######..#.###.#...##.#......#.##..#.##.#..###.###.#..##...##..#.#.#######..#.........######.................#.#.##.#....##.##.#########.####.###.#.##.#####.#.######..#.#......##.........#.#..###.#.#.#.###########.###...##.#.##.##
####.#..#.#.#.##...#..##.###.######.#.###############..#.##.#..##.#.###.#.####....###.....##..#...#######...#.#####.....##.##.#.####.#.......#.#...#.##..#####.##.#............######.###.######.#.#.#....#.#.##.#.......###...###.##.####.#..#.#........#.....####.#..#####.########.....##....#.#..##.....######.##.#.......##..##...#.#...#####.#.#...##.#....#...####.#..##.....##.#####.#######.#####.#...#######.####.##.#..##..##.#.###.##.####.#.##.#.##.##......##.#.##.....###.###..#.#....######..#####.#.#####.####.####.##..##...........###..#.##.##.####.##..####.#...#..#.#...##.##.##..#..###.##.##...###.###.##...##.#...#...#..######.....#..#####.##....##.#....##......##.#.##..#..##......###.#..###.######...##...#.#########.###.#....###.########.....#.#......#.#...#..#..##.#.#.###.#######.#.#.####.#.###.#####...#.#.#.#...####.#....#...######.#...#
#......######..###.##.##.#...#......#####.#.#..##.####......##.......####......#####..#.#.###...#..#.##...#.#.#.....#.#.##..######...#.##.##.#####.#..##..##...#..####.#.###.###......#....#######.#.##.#.#.#.##.##.#.#.##...#.#...#..#....#.##.######.#...#.#..##..##.#.......#.#####.#.##..#.##.##.###.#.##.......#.##.###.####.###.######...#.######.######.#...#.#.#....##..#####.....##.#.........##..#######.....##...##.##..#.#######...#######.#.##.#.#..##.#.####..#.####.###...##..##.##.#......##...##..#...##...#.#....#####.#..###.#.###...#.##.##.##.###..##.##.#..#.###.##.##.##..##..##.##...#.##..#.#...#..##..##.##..#.#...###.##...###.#.##.##......#.#.###########.#.##..#.#.###.##.##.##.#.....##.##......########.##.........#...###.#.###.......##..#.#...##.#.#####.#.#.###....###..........##.###....#.#...#.....##.##########......#.#.####...#.#..##.##
##.##.##.##...###...#.##.##.###.###.#.........##....####.##....#####...#..####.##....####.#.#.#.##...####.######.##.#.#.##.###.....#.####.#..##.#..##.###....#.##......#############.##.##.#..##...####.#.#.#.##..#########.##.###.#.##.##.####........###.###.####.##.#.#.##.##..##...#.###.#.##.#..#...#..###.#.#.#.#..##....##...#...##...#.#......####.##..###.#.#...##..##.....##.#.##..#.#.#.##.####..##...#####..##.######.####.##.######.......#..######.##.#.###..##.#......###..#.##..##.#.#.#.###.#.#####.######.#...######...#.###..#.##..#.#.##..#.####.#.######.##.#...###..#..##.###.##...##.##..#.####.####..##..#..######.###......#.#.###.##.#..###.##.#.#.##.##...#.#########.#...##.##..#.#.#########.#.####..##.....##.##.######.##...#.##..#.#######.###.######....##.#.#...##.#.#######.###.######..#.##.#.####.##.#...##.#.#.##.#.####.#..##..#...##.#####
####..##....###.###...##.#..#.###...#.#.#.###..####......###.###.##..#...##....###.#.##...#...#..##.##.##.##.....#..#.###..#...##.##.#..####.#....###...#############.##.........###.########..###.#....#####..#####...#.#..##.#...#.##.#####.#####.##.#...#...##...##.###.##....##..#.#.#...#..####.###.#.##...#.#.####.##.#.##..#.#.########.######.##......####.#.##.####.##.##.##..#####.#.###.##.##...##..#.......##...#.#...#.##.#...#.############.##.....##.#...##.##.#####.###..######.#..#.###.##..###.....##...#.#.#...##.###.###.##.#####.###.##.##..###......##.....#.#####.##.##..##...##.##..##.#####......#.####.##...##.......#.#.####......#######...###.......#.######....#######.#..##.##.#....#.###..#...##.####.##.#..#######.########..##.#....##.....#.....##.#########.###..#.#....##...####.#.####.##.#..#.#..#.#.#.........###....####.##.###.###.....#
#.#######.#.#.....#.#..#.####.####.###########....######.#...##.....###.######..##.#..#######.#.#####.....##.###.##.#...#.####.########.##.###.##.#...#######.##.##.##########.#......##.##.##..######.##.....##.....#.....##..##.##.#..#........#####.##.####..###.#..##...##.#.###.#.####.##.###.#..##.#.####.###.##...#..#.##.##.#..##......##..#.....#.#.##....#.#..#....##.##..##....##.#.##..##..###..#####.#.##.###.##...#.#.##.#.#................######.####.#.##.##.###.....##.....#####.#####..##.##..#.#....#.#.#.#.#.....##.#......###.#..##.##..####...##.#..#.##.##...#.####.#..####.#######.##.#.#.##.#.###..#.####.###..#.#.###############..##.....#...#.#.###.....##.#.##....##...#.##..##.##.#.....#.##.###...##..##.#.##.##......##.##..##..###.#####.####.##.##..##.##.##...##.###.####..#..#.#......####.#.##.######.#.##.##.#...##.####.#.##.##....##.##.#
#....############...#.##.##...#....##..........##.###############.#..##.#...##.##..#######....#.#.##..#.#.##.#....###.#.######..##..........####..###..##.....#......#.####....#####.##........##...#..#####.##..##.###.##.##.##...#.#.#########...#.####.##...#######..##.##..#.#...#..##..##.##....###.#..###..##..######.#..###..#.####.#.#####.##.##.#.#..####.#.#.###.#.#..###.##.####..#####..##.###.###..########.########.#.#....######.######.#.##........##.#.##..###.####.####.####.........#.##..##.####.##.###.#####.###.#######.#.#.....##...##..##..#.##.#.#####.##.#...###..#.###...##......##......###...##......#...#.##.#.####.#.#.#......####.#.###.##.#...##.####..#.#####..###.#####.####..##.#.##.#......###..#####.......######..##.####.##..#.#...##.#.######........##.##.........#.###.#.#.#.#.###.###.##......#.#..#.##.#.####..##.....#.#..##.##..#.#
####..##.#.#......#.#.##.####...#.#######.#.##.#........#.###.#...#.##..###.....####.......##.###....######..###.###..#.##.#...########.###.#.#####.##.#..###...#.##.#.#....####.....##.##.#.#.####.##..##....##.##.#...##..#.##.#.#.########....#.........##.###......#####..##.##.##.####.#...##.#...#.#.##...##..###.#.#.##...#.##.########......###..#.##.##...#.###...####...#.##..####....###.#..#...#.##..#.##....#........#...##.########......#########.######..#.##...###....##....###.#.##.########..##....#..##.###....##.#.#..#..#.##.#.##..#..#.####.#.##.#..##....#####...####...###.##.##.#..###.#######.##..#.####.###.##.#...#....#.###.##.#.#..#..##..#.##.##..##.##.#...####.##...##.#....##..#.#.##.#.##.#..#####.#...###.#........#####.#...#.##...#....#....#.#.#.####.######.##.#####..##.....###.....######.######.#.##.##.#..#.#.######.#####.######.###
#####........#.##.######.#....#.###.#.....########.#.##.........#.#.#####...#.#....#####.#.#..######.##..###..####.##.#.#....####.......#............##########.#.#......#.####..#.#.####..###..##.....##..#.##########.##.##.#########.#.....#.###.##.##.#####...##.#.#...#.##...####...##.###.#..##.####.###.####.##......#..#.###...##.#.######.#######.##..##.###########.#.#.#####....##.###.#.##.##.##..##......##.#####.##.######.#....##..##.#.#...........##...##.####.....##..##.####..#.#......##...####.#.##..#...##.#..#...##...#######..##.##.#..##..#.#..#.#####.####...####...###...##.#..#.##.........####.##....#..##.####.#...####...###....##.##.###.#.##..##.........###.##.##.#.##...##.##.#########.#..##..#.#..#.#...#.#.#.#.##....##...#.#.####.#.#.##.##...###.####.....##.##.....##..#.#.#.###.#####.##.#.########.##.##.####.###.#..#.#..........#...#
#...##.###.#.###..#......#.#.######.#######........#..###.#.#.#.#####.....#.#.##.####....#.##.#..##...##.....##.#..###########..####.##.####.###.#.#..#.......######.#.#.####...######.###.#...##..#.#..##.###...........######.#.....#...##.####.#.#...####.#..#.##.#...#.#..##.###...#.##.######.#..#.#..#.....##.####.#.##.######.#.##...................#.##..#.............#....###.######......###...##....###.###.......#..##.....##.#....##..#.##.#.##.#.#.##.#..#.#.#..##.##..##.....##.#.###.#.#####...##.#..##.#.#.#..##.##.##..###.##.#..###.##.#.####.#.##.#..##......#.####.#.#...##.##########..##.##.#....#..#.##.#.##...##..#.#..#.#.###...####..#....###.#..##..####.#.##.#..######..###.#...#######.##..##.##.##...##.##.##.###.#..#.##..##.##.#....#.###..#.##.####.....#.########..##.###.####.#...#...................###..##......###...#####.#.#.##.##.###
#.#....#...#..##.###.##.##.###.##.......#########.##.##...#.#.###...#####.###.#...##..#.##.#..##....#.##.#.###..#.##.#.##.#.###.##.#..###############.#######........######.#####......#.###.#.#..##.#.##..##..###.#.#.#..##......###.##.##..#......#.#.#......##.##.#.#.#.##..#.#...#.######......##...#.##.#.######....#..#.##.....#########.###.##.####.##.##############.#.###.###.....#..#####.############.#...#...##.##.##..###.#..######.###.#..###.#..#.###..##.###...###.###.###.#.###.#####.###.....###..##.####.###.##...#..##..##..#...##....#.#....###..#.##.####.####......#####.#...##........##..#####.#.######..#####.##..##.##.......#.#....##.#.#.####.#.####....#.#......###.#...##...##.###.#.#...##.##.#.....######..##...#.#.####..##...###.##.#.##..##.##....##.#.##.###.###########..#.#..#.#.#.#.###.#.###.#.###...##.#..##.#.....#.#.#...#.###...#...#
####.#.###.#.##...##..######......##.##......#....##..###.#.#.####.##.#.....###.#..##.#.#########.#.#..########..............#.......##........##.#.#.####.####.#.##.##...........####....####.##..#.#..######.#####.#.#.##..####.#...##.##.##.##.#.###.####.#..#.#..#.###..##.#######.##.###.#.##.####.###..#.##...####.#.#####.##.##..#####..#...#..##...##.#..............#.##..##..#.#...##.....##..#........##.###.##..##.###.##..#####.###.#.#.#.##...#.##.##..######..####...##..##.#.##..#......##.#.#.##..###.#.....##.#########..####...#..##.#.#.#.######.#####.#.......##.#.#...######.####.#.##.####...#.###......##....##..##.####..###.#.####.###..###....#####..##.#######.#.##...###.##.####.........#.#...#.#.###.##...#.####.####....##.####...#..###..##.##..##.###..#.#.......#.#.##.#.####.########.#..##.#.###.#.#####..#.#.######.#.##...#.#.#...#####.#.#
#....#.##..#.#..###..##..###.##.#.#..#..####...##.##.##...#####.#.......##.##...#.##..###.####.##.#.#####.##.#..#.########.#...#.#.#.###.####.##................#.#..##.###.####.##....##..##.....##.##..##....#.....###.##.##....#.#.....#########.###.#....#.##.##.#...#.##....##....#......####.#......########.##....#.##....##.###.#.....##.#.##..###..###.########.###.#..##..##.#.#.#..#####..##.######.#.##.##..#..##..#.##########......#...#..###.####..##....##..##....#..#.#####.##.###.#.########..##...####.##.##...###.##..###.#.#.#.##..#.#.#...##.#..###..#.#.#.#.##.#.##.##.##.#....###.##.#....#.....#.########.#.##.##....###...#.###......#####..#.######.##.......##.#....#.##..##.#....###.##.####.#.#.#...#....#.###.####.#######....###.###.##..###.#..##...##.#####.#.##...........###.#.#....#.#.###.#...#.#...########..#.#.###.###.##.#.#.#.....#.#.#
####.#####.#.###########.#.########.########.#.#..##.####..##.....#.###.##.##.###.##.##....#......####.#.......####........##.########...##...###.#.###.#.#.#.###.#.#####...##...###.#.#..##..#.#.##.###..##.#.#.#.#.##...#.#..#.#####.#####.##.#.....######.#.##.#..##.#######.##..##.###.##.##...##.#.###.#....#....##.#..##.#.##.#.....######.#.#######.##...#........#...#.##..#####.###.####...##.........#.##.#..###..##.#............#.#####.#####......##.#..##..##.###.#.#.####.##...#.#...#...#.#.##.##..#..##...#.####.#...#..##.....###.###.#.####.##....##...##.###.###..#.##.#.......#.##...#..#.#.##.##.##.......##.####..##.###...#.#...#.#.##.#.##..##....#....##.#.#.#######.##..##.##.#.##..#######.#..#.#.##.###.###........#.#...####.#...#...#.##.###..##.####..#..##...#####.#.##.#.#.........######...#.##.##.#.#......####......####.####.#.#.#.#.#######
#....##....#####..#....#....#.##.#####.......#.##.##..####.###.########.##.#...##.##..##.#...##.#..##....##.#.##....##.#.#.#..#.#.#.###.#####.....#.#...#.#.#.#######.####.####.##.######....##.###...##.#####.#.#####..#.########.#...#.....#....#.####.....#.##.##..###.##.#..##.###.#....####.###..####....##...#.##..##.##.#..###.##.###.....###........##.####.####.###.####.##.##...##.##...###..#.#.#.###.#####..###.##.##.###.##.##.#..##...#.....##.#.#..##..##..###...#.#...#..##.#####.###.###.......##.#.####.##...##.###...##..#.#.##...##.#.##....##.#..#.#..#.#.....####..#.#.###.#.#.#..#.##.#.#.#...#####.######.....#.##....##.##.#.###.#.#.....##.##.##...##.#..#.#.......###..#####..#####...#.###.########...##...#.##.#.#.....###..#.##.##.#.###....##.##..##..##.#####....##.######.#.##.##.#......#.#####...############..#.###.##.......#.###.#.#.......#
#.#.####.#.###.##.####.##.#......#.#.######.##.##.##.##....#...#........##.##.#############.######..##.#.##.#.###.#.#..#.#.#.##......####.#.#.##.#####.##.#.###.......#.#####.####.##.....##..#..##.#.##.##....#.##....##.##.........#######...#.##.##...#.#.#.##.###........##.#..##..#.#.##......#.###.###.##..#.#.##.######.####...#....####.######.###.#####.######..#....##......###..#.####.##..##.###.#.....#.##.#.#.##.##.#...####..##.##.#.###.#..#.#.#####.####.##..#.#.###...######.#..#....##.###.#.##.#...##.##.#.##.##..###..##.#..###.####..###.##..#.##.##.#####.#...##.#######..#.#.##.#.##.#.#####.....#.....##.#.#.#..#.#.##...#.#..##.###.##.##...#..#.#..#.#.##.#.#.###...#####.##.##.....#............##..#..##.##..#####.##.###..#####..#.#...##.#.#..#..####.#####.#..#.##......####..#..###.#########.##.#..#.#.........##..##....#####.#...#.#.#.#.###.#
#.#.##...###...........#########.#..........##.##.##.#####.##########.#.##.##......####.#...##...#.#####.#..###...#.##.#.########.##..........##.#.....##.#.##..##.##.........##.#.######.#..########.########.#..###.##...##.##.##.###..#####.#.#...##.##.#.#.##.#...###.#.##..##..##.#.#..####.###.#........##.###..###........####.##.#.##...##.#...#...##.........##.#.#.##..#.#.##...##.#....#..#####...##.#.##....#...#...#####..####.##.#..###...##.#.######....##.###.#.#..##.###........##.#.###.##..####.#####...#.#.##.##.##...##..######....#.##...##.##.##.##.##....#.#.##....##...##.#.##.#..###.##.##.#####.##.##..#.#.#.####.##.#.#.#.#######..#.###.##.####.##.###..#.#...#.###.#....#######.######.#.#.######.####...##....#####.....##.#...##.#####..####.##...##..##.#.##.#..##.#.#..###.##.###.............####.....##.###.####..####.....###.###.#.#.#...#.#
#####..#.#...#.#######..##.......########.#.#..##.##..##...##.........#..#.#..######....########.......####.##..#.#.##.#.##.......###.#.###.#..#####.#..#######.#..#..#.#.###.............##........###.#.#....##.##...##.###########.##.#.###.#.###.#..##.#.###..##.####.###..###.###.#.##.#.....#######.##.##...##.###..#.###.##....#..#.#..####.###.###..##.####.#....###..##.#.#.#..#..#.#.##.##..##...######..###.##.#.##.###.##.##..####.#.######..#.#.#......#.#####.#.###.##....########.##.#.##...##.#.....##.###.#.#.##.##.##.#..##.##.....########.#####...###...###.##.#.##.#.#####..######.#.###..##......##########.#.###....#..#.#.#.#....##...##..##.#.....#.##...##.####.##.......##...##.#.......#.#.#....##.....##.####.###...#.#.####.###.##...#.##.##...##.#.###......##.##.#..#.##...######.##.#.########.##...#.#..#...#....#.######.##...#########.##.##.#
#..###.##########..####.#####.##..........###.##..#..#######..##.#.#.##.##.#.##...###.#......#...#.###.#.....####.###..#.###.#.####...###...#.##..#####.#.....####.##.#.###...###.######.###.#.#.#####......#.##..###.##..#.#..................#.##..##.#..#...##.#...#.######.##....#.#.#######.##.#.#...##.####..#.##..####....####.##.#.#.###.#.....##..##..#######.#.####.##.#####.##.####.##.#..##..#.#..######...##.#.#..##......##..#...####.#...##.#####.#.##.##......#...##.#.###...###..#.#..##.##..####.##...######.##.#####.##.#..#..#.#...#.#.#..##.#..#...#####....#.#..#.#.##....##......#...##.####.##.....#....#.#.##..#.##.########.######.####.##.##.#.######.###.##....##.#.#.###.###....#.##.##.####.#..##.##.##.#.#####..###.#........#.##.#...##..##.##..###...##.#.####..#.##.#..#.........#.#######.######.####.#######.###.....##.##.####.....##..#..#.#
##...####.###.#.##.#.#...#.#..#..#.###.##.##..##.##.##.##.#####..#.#.##..#######.##.#.######...#.#..#####.#.##....#...####...###....####..###.###.....######.###...#..#######.#...#......##..###...#.#.#.#.##..##..##..##...####.#.########.##.#####..#.##.##.#######...###..####.#.##.#..###....##.....#.#..#....##..#.###...#.###...##.#####.....###.#..######...##..#.#....#......####....#######..#.##.##.#.#....#.######.####.##.####...#.#......#..#.#.....#..#..######.#.###..####..#.....####.##..##.##.......#......#.##..##...##.##.#.##.#.#.....##.##...##.###...###.####.##.#.##.#.###.##.#.#.######.....#.#.#...#.######..##.#....##........#.#.##...##.##.#.....##.##...###.##..#.#.#.###.#.##.######.....#.##.##..###.......#..##...##.##.#######.###..#########..##.#..#.#....##.#..####.##.#.#.##.#.........#.#.##...##.......#...##.####...#.##.##.#########.#.#
##.#####......#....#.###.....#########.#..#..###.#..#.......##########..###.#.#..#..###...######.##...##..#.#..##.##.##....#.##########..##.....#####.........#..#.#####......###.##.###.###...##.##...###.##.##..####.#..###########.......##.....##.###...#.#..#....#.#...####..#..#.#.##...#.####.##.####.####.#####.#...#####.###..####.##.#.###...##..##.####....######.###.##.##....##....#############.....##.#.#.#....##...#..#.###.#####.###.#######.#.###.####..#.#.#.#...####..###.##...##..####...##.#.####.##.###..##.##.#.#..##.#.#..#.##.##..#.##.#.#..#.###........#.##.#.##.###...##.#.#.#......#.###.#.###.#.....##.##..##.####.#.#.####.#..##.##..##.#.#.#..###..#.#...##.##.#....#..#.#.......#######.##.###...##.######.###.#.##..#...##....##..####...##..##..#.##.##.####.##..##..##.#####..#.###.#.#.....###.##..#.#.#####.##...###.#####...........##.#.#
#...##.######.####....##.#.#..##.......#.###...#.##.#####.#....##.#.#####.#.#.##.##..#..#........##.#..##.#.##.##.#..##.#.####.##.......##..######.#..#######...##.#.....##.#.##..##.#....###.######.#..##.#...##...#########..##.##..#.#.#..##.#.########.#####...#.##...#.#....##.########.####....#..#....#........####.##..##.#.######.....#.#...########...##.#.##.#.##...#.##.##.#.##..####.####.#.##.###.########.####.#########......##.#.##......##..#.#......##.....###.#....####.######.##.##....#.####...##..#...##.####..####.##.#.##.#..#..##.#.##.#.#.##.....#.#.#.#######.#...##.#.#..######.#.#.#...###..#####.#.##..###.#.....###.#......##.##..##.##.###.##.##########.#######.##...#####.#.##.......#.#...##.#.##..#.#.....###..##.#.#######.###......#####.##.##.####...##..##.####..#..#..##.#...#.#.##.#.##.#..######.....###..###.........##.###.##.##.###
#.#..#.##.###.##.####.#..#.##..#########.#.##.##.######.####.###.....#...........###.##.##.#.#.####.#.##..#.#..##.##.##.###.....#####.#.##.###.##....##.......#.#..#.##.#####.#..#######.##...##.....##.##.##.##..###.##.##...##.....##.###.###.#..##.........####.#.#..######.#..###........##...#.######.#.##.#.#.#..#.#####.......##..#####.####.###....#..#....#.##......#####..##.#..##.#.....#..............##......##..#...#.###########....###.#.##..##.####.#.###.##..##.##.###.#...#......#..##.#.#..##..#..#.###.#####....##.....######.##.##.##.#..###.###..###.#.###.....##..#.#..######.##.....###.#.#...##.#.#.#######...####.####...##.#.###..##.##...###...##.....#.#.......#.#...##.##.##..###..#.#######.#.####..##.....#.#...#.##..#....##....##.##.#####....###....########.##...###.##...#####.#.#.#.#..#....##...#.######...##...#.##.#.##.##...######....#
#.##...#............#.##########.#####...#.....###.##.#.###......###...#.#####.#........##.#.#.#....#.##.#####.#######..######.##..####.####...#..##.##.####.##.#.##.####.....#.###......####.#####.###.##.######.#......####....#.#.#..#.....#.#.########.#.##....####.....####.#######.#.#..###.###.########..#.######.##.###.##.#..##.##..####.###.##.#...###.#.#.##.##.#....##.##..#.#########.###.##.#.#.#.#########....####.....#.###.....##.###.###..#####....###....##..#.##.....#.#...#.##.#####.#.#.##..###.###.#.##.###.#..##.#.####....##..#.#..#.##...#...##...####..#######.#.##..##....#..#.#.##..#.#.###.......#.#.###.##......####.##.#...#.###.#..#####.#..##.#.##.##.#.##...#.#.##.....##...##.#...##.####..##..####.#.####.#######.##.#####.###...#..#..#.#.#####.#....##....##.#...#..#.#...#######.#.##.#.#.#######.....######..#.####.####..#.#......#.##.#
#..###.###.###.##.#.....#.##.##........#.#.#.####...........#.#.##...#####.###.##.#####.##.#.####.###.#...##....##.######......###.#.#....##.#...##..##.#....#..#.##..#######.#.##..##.#.#......##....#.####.##.########...###############.#.#######..#....#..####.#....##.##....##.##...#.#.##...#.....#.#.###.#.....##....#.#######....###..##..##...###.#..##.###..#.#..#.#.###.#..##...###.#.......#..#.###..#.###....########.##...#.####.##....####..##.####.#...##.#.##.####..########.##.##..##.#####..##..##..##....#...####..###.#....##..####.#.##..##.####.##.#.##.##.####.#..#..#.#####.##.####..#.##.#...#.#.#.#......######.#.#.#....#..###.#...#.##.#.....#.##..#....##.#..#######.##.#.#.#..###..###.......##.##.##....#...####.##.#####....##...##.###...####.##....#.########..#.#.###.##.#.###.##..#.#.#..######.#.##.#####.#.##.#####....#.########.#.##..###
#.##.......##..#..#.#.#.........#.##.#.#.#.#..##..######.#.##.#.####.#..#......#####.....###.##.....##########.###.#.#.######.##.#.#...#.######.####.#..#.#.##.########..##...#####.#..#.##.##.####.#.###.#......#.......###..###.#........###.#.#.##...#.##.####..#.##..###..##....##.#.#.#..###.#.###.........#.##.######...###.....##.....####..#.#####.##########.###.##.#.##..#.##..###.....##.#######.#...##.....#.##...#.#..####........##.##.##.##..#.#....##.###.#.####.###...######..#..##..#.##....####.##.#####.##.###..#.##...#.##..##..#####..##..###....##.###..........#.##.#####....#..#.#..##.##.#.#.###.####.###...#.##.#.######.##..#####.##.##.###.#.#.#..###########......##..#.######...##..######.#..#.####..#.##.#...........#.#.##..##.##...##.###.####..#.##..#.##....##.#...#.#######.....#######....#.#...............###.#.####..........###..######
#.###.#.#.####.##.######.#.##.###..###.#####.######......#.#..#.#....##...##.###.....##.##...##.#.#..#.###.#...#...........#.........#.###.#....##...#.##.#..######.#.##....#...##..#.##.#..##.##...#####...##.#.#######.#.##.#.....#.##.#.##.........#.######....##..##..##.######..###.#.####...########.#.#.##..#.##.#####...#####.##.#.#....##...#.#.....##.#......##..###.##.##.###...#############....##.####.#.#######.....##.##.###.#.##...#.....##.#...##.##.#.###..##......#.#.#.#..#######....#.#.###.#.##...##.......##....###.#.#..####.....##.##.##...#.###.#####.#.##.######.....#.##.##...##.##..#.###...#..#.#..##.#....#.###.......##..###...###..##..#.#.##...#....##...##.###..##..#.#...#####......###.####.#..##.#####.#.##.###...#.#####..###.###...#...##.##.###....##.#..#.##.##...#.#.#.#####.#####.##.....#.#######.##.###.....##..####.###...#######.#
###...#.#.##...#####.#.#.#.##..###.##..##.#..#......##.###.#.#######.##.#..#######.####..###.##.#.####.......#####.##.####.#####.##.##.###.########.##..#.#####.#........##.#.#############..###..#..##.#####..#..#.##..........##.##..###.##.#.##.####.#####..##..##.###..####.....###..####...###........###..####.#.....####.###...##.#.####....#.....#.#.#....#.#.###.##...##..#.#...###.............##.#....#########....#.#.#.....#...#..##.##.#.#.#..#.#.#..##....##.##..#.#.##.#.....##.##.#..#.##.###.#....##.####.#.##..###.###..#.##...##.#####...###..#.#.#.....##..#.##....##..###.#.##.###.##..#..##.##..#.##...##..#.##.#.####..#.#.#..##...###...##..##.#.#..###...#.##..#.##...##.##.##...#..#.##.#.#.###...##....##......#.#..#######.#...####...###...#...#.##.#....#.##..#.##.###...###..............#.#...##.##.#......########..#######.##########...#.....#
#########.##.#.#.........#.#..##...###.##...##.#.#.##..#...#..##.#.####.##.#.......#....##....######.####.#.####.######.#.........#..###....#.###.###..######...#.###.##.##.#..##.......##..#####.#####.##.##.###...#..#.#.#.##.##.##.#######.######......##..###.##....##..#.#####...##.#....###...#.#.##..###...########........######.###....##.#.#####.###.#.####.#.#..##.###.########...#.#######.#.#..##.###.....#...##.###.#.#.###.###.##..##.#.###.####.##.#..#######..##.#.#..#.##.##.......##.#..##....#.##########..#.##...##..####..#.#......##.##...##.####.#.####.#.##.#.##..##...#.####.#..##.##..#..#.####..###..##..#.#..##..##.######..#...#.#####.#..###.####.######.######.###..#..##.###....#.#.#.##..#..#.##..##.#.#########...####.#...##.#...###.#.#.#.##.##.#########.##...##.##...#.##.##.##.###...#.##..####.###...##.#.#.###..#.#..........#####.###.#
#..........######.#####.##.######.##...####..###.#..####.#.#.##..........#######.####.#.##.#.##......#.######..#..#.#.....##.##.#.#.##...##...........##....###...#...##..###.##..#####....##.....##..........#...#...####.###..##.####........##.####.##.##.##...####.####.....##..#.##.#.#.##...#.#.#####.#...#..##......##.#.#........#...#.#######......####.#......#.##..##....#.######.####..##########....#####...#.#..###.###.#...##...##.##.###...#.##.#..##......###..#.#.##.#.##..##.#.#.######..######......##....#######..##.#.##.##.###.#######..#.##.#....#...####.####.###.####.###......##..##.###.#....##..##.####.########.#...#.####.#.#.#.#.#...##..##.##.....##........#.#...##.##...###.###.######.##.##.##.###.#....#.#....###.#############...###.#.#######...##....#.#..####..###.####.####....##.######.###....#.#......#.#.##...#.#.##########...###.#
##.#.#.##.#####.####.....######.#..#####....######.###...######.#.#.#.#.##........##..#..#.#########...#.#.###.##...#####..###..###.##.#####.#.######..#.##...#######.#..##...##.###....##..#.#.#.##.#.#.##.#.##.##.#.##.....##.##.#.########.##...###.##..#####.##.....##..#.#.##.##.#..#.######.#.###.....##.###.##.###.##..#.##.##.##.#.#.#.##.#.#..##.#..##..#.##.#.####.##..#.##....#...##.##......#.#...#.##.....#.####.#...##..##.####.##...####..#.#....#.##..##.#..##.####.##.#.##.#######.#.###..#######.#.#.####.#...##....##..#....##.##.....#..##.#..####.#.#.#.#.......#.#.....##.##..####..##.#....#.#.#.####.####..........##.#.#.....##.#.#.#...##.###.##..###.#######.#########.#######.##.....####...#..#.#####...###.##.....##.....#.#.#.....########..#..##.....#....#.#####....#.###.....#....######....#.#....##.#.#.#.####.....##.#####........#...###.###
####.#######.#...#.##.#.##......#.#########..#.#...##..#.##.##..#.#.###.##.#.##.#..##.##.#.##.#.######.#.#.#.#..###.##.#..##...##...#####.#..################.........##.##.######.###.##..#########.#.#.#..#.#..#..#..##.##.##.##.#...........###.....###...##...###.#..##.#.#..###..#.#####.....###...#.###...##..#.#...#####.#...###..#.#.###......######..##.#.##.#....#.##.##..##.#...#.#.....####.....#.#..#####.#.###..#.#..##.##...##..###....##.#.##.#.####.#####.##...##...#.###...#.#.#......##.#.......#####..###.#.##.##..####.#.##...##.#.##.#####.###.#######.#.##.#.##.###.#..#####..####.##.##.#.#####.#.##....###.#.###.##..#.##.#####.###.#.#.#..##...##..##.##.##.....###.......###...#..#.#.###..#.#.##...##..#.#....##.#.###.#.#.......#####......##.#.##..###.###.##.#.#...####.#.##.#.##.##.#....##.#...#.#.###.#####...##.#.#....##.##.##.#.#...#......##
#.#..#.........#...##.#.#####.#...##........##...###..####.....####...#.##.#.#..##..#.#..###........#........##...#.#....##..#.##.###.#.....##.........##..####.########.##...##........##...##....#.#.####.#.#.###.#.##..##.#..#..#####.##.#.##...#.#..##.#..##.##...#.#####.##...####.#.....#.#..###.##.#...####.######.#.....##.#######.#..#######....##..##..#..###.####..#.#..##..##.#####.##.#....#.#.###.##.....###...#####.#..#..#.#..###..##.##.#.#..###.....#.##.##.#..###.#..##.###.....###.######.##.#.....##.##..#.#..##.####..###..#.#..#.......##.##...#.#....#.#..#..###...#####....##.##.##.##.#..#.##....##.#..##.#...#..##.#.##..##.....#.#.####.##.#.##.##......###.#...####.##...##.#####.#.....####..##.##..#######..#.#...###.#########.#...##.#.##########.....#..###.#.#..#####....####.#....#.###.###.#.###.....##########.#.##.....##########.#.#.##..#
#.#####.#.##.#.###....#..##...##.##..#.#.##.##.#..#####.########.#..#.######.#####.#####.##..#.##.#...#.##.#....#...##.#..####..#####...###.###.##.#.#..##.#.#####.......##.###..#.#######.###..##...#.###..#.#..####..##.##.#.########..#..#..##.##.#.###.#.##..##.#.###.....##.#.##...##.##.#.##..##.#####.##.....##....#.#.#..#.#..#....####..#....#.####.##.###.#.....########.###..####.....#.##.#.#.#..##.#..###...###.#.#.####.#.####.##...###.#..####.##..#.#...##.#####..##.##.##...###.#..##.#..##..##.##.##....##.##.##..####.##...#.#####.##.#.##.#..####.....##.####.##...###...##..##.##.#..##.##.##...####.###.#.###.#.###.##..#.#..##..##.##.#.###..#..#.#..##.##.#####.#.#...##..#.#.####.#...#.##.##.##.##...##...##....##.#.#..#####..#.#.#...########.#...######.########.####.....#.##....#.#.#.##.##....###..####.#..........#.#.##.#.#..##.#.#.########..##
#.###.##########.##.#.##..###..#..##.#.####.##.#.##......#.##......##.###....#.....##....##.##..####.##.#####.#####.##.##..###.##...##.##.....#########.#.....##...#.#.#..#.##..#######.#....##.#..#.###.####.#.##....##...#########..##.##.#####.##.#.#.#.#.#..##..#..#####.##########.####..#.#..##...##....###.####.#.######.#####...#.######.###.####.....########.##..####.....######...#.#.###..###.##..####..###.##...#........#..##...##.##.#######.#.###.####.#####.##..##..##.##.########..#...####..#.##..##.#..###..##.##.......#.#..##...#..#..######.####.####.###...##.##...#..#.##..#....#####..##.#....#.#.###...###...#####.#.##..##.##.####...##.##.###.###..#..##...#.#.###..##.#..##....#.#.####...####.#.##.#..#.##..#.####..##.##.#.#.#.###.....##.#.###...............##.#.#.#.#.#..#.######..#####.#...##...##.#.##.#.##.####.##.####.............####..#
#.#.#..#.#.##.......#.##.##...#####..#.#.....###..###.##......##.#..###.###.#####.######..#########..##..##.#..#.#.....###.#....###.#..###.######.#.#.#...###....#.#.#.#.##.###.#.##......########.#.#...###..#######.##.####.#.#..##....##.#.....#..#...#.#.##..##.#.##.##.......#.###.#.##########..######.####.##...###.#.#..##....#.####.....##.....###.#...##.#....##....##.#.##...#..#.######..###..##.##....##....##.##.#.##.#.#.####.##..#..##.........##.#...........##..#####.##..##.#....####.##.##.#..#.##..##.####..#######.#.##.#.####.###.##..##.......###......##.#######.#####..##.####....##.###.##.#.#....#######..#..#.#..###..##..#....##.####.#..##..##..##.##..#.#.#..##.##..##..##.#.#.#......####.#.#.##.##.#.##.##....##...............##.####.....###.#.#.#.###.#####...########.########.#########.###.###..#.####..#....#.#.....#.#.#.#########.#####
#.#.##........##.##.###...###..##...########..##.########.#####..##.##....###.......##...####.#.#.##..####....##.##.##...#.##.###.....##.####.....#.....####..##.#.###.#..###.###....##.#....#.##..####.##.#.##..#.####..###....##....#.##..##.#####.###.#.#.#..#####.#..##.#.##.##.#...#.#.##.#.####.#..#....#.#.######.......###.##.####.#####....##.##...##.###...#.##..#.##..#.####...##.#......##.##.##.##.##.###.#.##.#..####.#.#.#.#...#.###....##.##.###..#.##.##.###.##.##......##.#....##.#.#...#.#..#.##..##.#.....######.###.#..#.#.##...##..###..###.##.#######.#########....#.####.#..#....#.###.#....#.#.##.###.....##.##...##.####.###.#.#####....#.##..##..#.##..###.#####.##...##.########.###.#.##......#.#.##.#..###..##.#.######.####.#####......#..#.#...#.#.#.#...#...##..#...##.#.#..#.#.#.####.##..##.##...##.##....##.#.#.##.####.####.#..###.#.#...##.#
#......#.#.#.###.##..########.##..###........######..##...####..##...##.#.....#.##.#####.##.......#####....#.##.....##.#.#########.##.#..##.#####.##.##.#....##..#...######.......#.######.#....#####.#....#####.#.#.#####.#.##....#.##.#########......###.#######.#....#####.#####.#####.#.........#.##...##.#.....######.##.##.####.#.......##.#.##...#.#..###.###.#.###.#.##.##.#....#.####.###.###....#...###..#...#.########...#.#...#######.##.#.#..#..##..##..#.#....####..###.#.#####.#####...##.##.##.#..##.##.#.#.#.##.........#.##.###..#..##..###...###..##.........##.##..##......#.#######.#.##..#.#.##.#.##.....#.#.##..##.##....##..####.....##.######.##..##..##..##..#.#...##.##.....##.....##.#..##.#########..##...##.#..#...####.####.....########.######.#.#.###.#########.#.#......##...#...##......##..##.#..#####.####.#.#.##.##...#.##.##...#.#.#.####.#
#.#.#.#########..#..##......#..#####..######...##.##....#.#....##..#..####.#.####..##.#..#..##.##...######.#..####.##..#.###.##.#####.##......#......#..####..##.#.####.#.###.#######......#.##.#.#.....##..#.#.......#.#..#####.###.#...##.......##.#.###....##.#...#.######...##..#.###...###.###...##.#.#..###.#.#......##.#...#.#########....#.###.#####..##.#...#..##.####.#..######.#.#..##..##..##.#.#...##.#.#.#.#........#.###.#...##.#.....#.##.##..##..##.#.#.#.##....######....####.....#.##.#.....#.###.##.#.#.#..#.###.##.##..#..###.######...#.#.####....###.#.#....##.##..#.##.###.##....#..##.#.#.##.#.##.#####.#.##.#####..##.###..####.#.##...##....##.####.##.##..##...#.##..##.#.#####.#.##.#.###.####..####..#.#..####.###....#....##.##....#####.#.#.####.#.#.......##.##.#.#.#.#.##..#...#....##.###..##..##..##....##..###.#..##.#....#..##.##..........#
#.#####.#.#.#.##.##.#..#.##...####.####......#.#.....####.####.###.##...####..###.###.############.##.##.###.###....####.#........#.#########.#########.##...##..#.###......###.##.###.#.#.#..###.#########.....#.###.#.##..#....#...##.####.#.#.##..###...#.##....#.###.##.###..##...#.#.#######...#.##.#.##.##..#.#####.#######...##........#.##.#......###.#....#.#.###..##..#.##........##.##.####.#..#.#.#.##.###.#####.###.##..##.###.##...###.#######.##..##..###.#.#####.....##.####.###.#.#####.##.##.#.#.####.#.#.#.#####..#...#.#####...#......#.#.#.#....#.###..#.#.#.##..##.##.##.##.....##.#.##..#.#..#.#.##.....###.#....######....##...##.####.#..##.###...##..##..#.####.##..##..#.#...##..#..#.#.##.......##.###.#.#####.....###.###.#.##.###.#..............#.#####.#####..##.###.#.#..##.#.#.#.#####..##.####..#.#####.####...###.##..#.#.##.###....####.#.#.#
#.##..............########..#.#....#.####.##.####.####....#.....##..##.##....##...##.........###.#...........#...##.###..########....##.................#..#.#####.#.######.##......#..#.#.######.##........#.#.####....###.#.#.###.##...##..#######..##.###.###.#.#..........##.#..#.....#....####.######..#####.#######.##......#....#.#.#.##.##.##.#.###.#.#.##.#.###...####.#..###.###.########....##.#.#.#.#..##..##....#...###..#.#...##.#.#....##.#...###..##.##..#..##...#.#..####.......#.#.##..#####.#...##.#.#.#####.#...##.#.#....##.####.#.###.#####.##.#.##..##.###..##.#...#.##..###.#.##.#..##.#.#.##.#####.#########.###.#.####.##..#..#....#.#.#######.#####.#..####.#..###.#..####.#####.#.####.###.#######.#.#####.....#.#..##..#######..##.#.###.#.#.#.#######.#...##...##...##.#.#.##..#.###.....#.##...#.#.##..##...#.##.####...##.#.#.####.##.#....#####.#
#..#.##.#.#.###.###........#######........##..##..#....#######.##..#######.######..#########.#.#.##.#######.###.###...####........##....##.#.#######.#.###.#..#.####...........#.##.##.#.####.....#..#.#.#.##.#.#....##.......#..####..#..##.##......##..##....#.#.##.##.#.########.##.#.#####...........#.##.....##.......##########.##.#.#..###..##.#.#.....######...#.#...####.####.#...#.#..#...##.##.#.#.#.##..##.#####.#####...##.###.########.##....#..##.##..###.#####.#.#.#.####..###.#.#....##..##...#.#....#.#..#.##...#.#..#.#.##..#.###..#.##..##.#..##.#..##..#...#.##..##.##..####...#.#..####..#.#.##.##...........##..........#.##.###.#.####.#.##..........####......##.#.#.#.##.#......###.####.#......##.#....#.#####.####.####.....#.##.####..####.#.#....##.....#....###..#..#.###.###.#.####.##.#..###...#.##.##..#...##....#.#.##.#.#......##.#.#####.####
##.############.####.##.####.#.....##.#.#..#.####.#.##.##.......#.##....####......##...#............#........####...###########.#.###.#..#########...###.####....##..###.#.##.##.#.....#....###.#...##.#.########.#########.#.##....#####..#######.#..##.##.#.##.###..##.#.....##....######....##.####.#.#..##.#.#####.#.###.......#..#..###.#####..###.#.#.#.##.....#.###.#...##.#....#.#...##.#####..##.#.#.###..#####.#####.....#.#####..#.#......##.#.###.#...##.#.......###.#.####.##.##..###.#.##..##..#.####.#.###.##....#.#.##.#.#..##.###...##..#.##....##..#.####.##.##.#..###..##.##...#.#.##..##..##.####.#####.#.#.##..#.#.#.##.#.###..##..#....###..#######.##.#....######....###.##.#.#.##.#....#.#####.#.##....##.#.........##.##...#.###..#....##....#.#.#.####..#.#.#.##...#.##.##.#...#...#...##..######...#.#..#..##.#.#..##.#######..#.#.#.##.##.#..........#
##.##...........#.....######.#.##.########.#..##..#.#...##.###.##..##.#..#######.#####.#####.######.##.#.##.##.###.##...........###...#.##.........#####.#....##..##..##.####..####.##.#.##.#...##.##..#.##..#..####........#.##.#.##.....###......####..##.#######..##..##.##..########..####.##.##...####..#.#....##.######.#.##...###..#####.##.###..###.#.####.#.###...#.#.#..##.#.#.#.###........#######..#####.#......######.#.....##.#...##.#..###..##.##.###.###.#.#...#.#.###......##.##..#.##.##..##....###.########.####.#..#.#######...#.#..##..##.#.#####....#.##..#.##...#######..#.###.##.####.#.....###.....###..#.##.###.##.########..##.##.##..##.......##.##.#...#.###.###......#.#.##.##.#...##....####.##..#.##.#.##.#..######.#.....#################....####.#.#.#..###.#######.#.#.###.#..##.....##.#.###.##.#######.##......##..##.#.#..#.#..#.####.#.###
#...###########.###.#####......#....##.....##..#######.#####....#.######...##....#...........#......#..######.......###.###.###.#...#.#..###.#.#.#.###.....##..######.##.##...##....#..######.#.##.#..######...##..########.#.##.#.##.###.##..#.##..####..#.#...#.##.###.##.#..#######.##.#....##.#..#...##.#########..#....#.#.###.####.##..........##..######.##.#...#.#.#.####.######.#.##..#.####.#.#.....##.......#.##..##....##.########.#####.##...##..##...#..##.#.#####.###...#.#.#######.###..##.##..####.......##...##...##.#....##...#.#.##..##.##.###.....##.#.#..#######.....####.####..##...####.#.###...###..##.####..##..##........##..#.##.##.#####.#.#..#.#..#.#.....#.###.#.######.##.#..#.#..##.#.......#########.##.##.#......#.###...............##..######..#.#.##...#.......#####..##.#.##..#.#..###..##..#......##..##.#######..#.#.#.##.##.#....#.#...#
##.##............####.....##.###.##.##.#.#########.##..#.....##.###..#.###....#.###.#.#.#.#.####.##.##....#################.#...##.##.##########.#.#...#.#.#..#####...####..#.###.####......#.#########.##.###..##.#.#.#....#.##.#..#.#########..##....#.##.#.#.......#######.##........#.####.##.#.###.#####.#.....#######...###....##..##.#.#.#.#.####.#.........##.######...####.##...#.#..##.##.....##.##..#####.#.#.###....#.##....#.##...##.##..##.####.##.#.##.#..#.....###...#.#.#...###.....##.#...##....##.##.#####.#####.##.#.######.##.#.###.##.##.#...##.##..#.##.#.##.##.##.##....##...####.##.##.#...###.##..###....##..#.##..#.#.#.##..#####..#..##...#.#.#####.###.#.#.###...#.###.####..##.#.##.##.##.##.#.###.#..#####..#.##.###.#..##.###.#.#.##.######......##.#.#.##.####.###.######.##..#.##.##.##...#.##..###.##.##..#####..##...##.#.#########.#.########
####..####.#.#.#.#....#.#.##.##..#..##.####.###.....##.##.#.########.#.##..##########.#.######...##.##.##.#...#...###.....#.##.#########.#.##.##.#.#.#.######.#...#.#.#....##..#####...##.############..##..###.#........#.##.##.##.###.........####.###..######.#.#.##....##..##.#.###.........#.####....##....###.........#.##..#.####.##.#.#.#.####...#.#.##.##.##..##....###.##.####.#.##.#..####.###...##.###########...##.#..##.#...##.#.##....##..##.#..#.#.##.#.##.#.#########.#.#.###...#.#.####.#####.#.##.##....##...###.##.#.....####..#.#...##.##.###.##..##.#.##....#..#.####..##..##.##....##....#.###...##.##.#.######.#.##.######..##...##..#####..#.#.#..##.....#.#.#..####.#......####.##.###..########.###.#.#.##.#.#.#######...##..#...#.#.#..#...##.#####.##..#.#.#.....#..##..#.#....#.#####..######.#..##.#.########..#.##.###.#.##.#.....##.##.#..##.#..#
#.###.#....#.#.####.#.#.#.#...#####.##.#......#####.#######..##......#..####.#...#.##.#.##.....#.#...########...#...####.#######.##.###....##....###.####.#...#.#.########.##.##.#.#.#.#..##.##.##.#.##.###.#.#.######.#.#.##.##.##..##.#######.##.....#####.#.#.###....##.#..#######...##.##.#.#.##.##.######.#####.#.#.##.###..##.#.#..####.###....###.######.##.#########..##.........#.#..#.##......##.##..#........#..#.####.##..##.###########.###.#....##.####.#..###.....##....#.#...###.###.#....##.#..#.#####.####..###....###.#####..#######.##..##.#...##.#######..##...##...###.#..###..##.#..##.#.#...##.##.....#.....##.#.##...#..#.###.#####...##..##.#.####..#.########...#####.#####..###...###...##.##...#...........###.#.#...#..#.##.#.#.#.####.#........#..##.######.###########.###.##.#.#...####.#####.##..........##........#.#..###.###.#.....#.###.#.##
#.#...######.########.#.#.##.##.....##.#.#.##...............####.###...##.#..###.#..#######.#.##.##.####..#########........####..##.#.####..###.##...#..#...#####...###.##.####......#.#.##.....##............#.#..#...#.####.####..##..#.......####.######......#...##..###.###...####.##.##.#.#.#......##....##....#.#.##.#...#####...##....#...##..##.##......#.#.........####.###.##.#.####..####.#.#..#..#####.###...####.....##.##..##...........###.#.##..##.###.####.##.######.####.##...#...#.##....##.###.#.#....#.##...#.##.......#.###.......##..#####.#......##..###.####.###.###.###..##..#.###.#.##.##..###.#.###.####..#..#.#...##.##......#.#.###..###....####.##.....#.#..##...##.##.######..##.###.....#...#.##.####..#....##.###.#..#.#.#.#...##.##.###.####.#......##...#.#.#.##...##.##...##.##........######.#####.##..#.###.##.#####....#####.#.#.#......#
#...#.#.......##.#.#..#.#.#...##.##..#############.##.####.###.#######..#.##.#.#.##.##.##############....##....#.#######.#..##..##.......#.###...######...#.##.#..###.#.#..#....#.##.#.########....#.####.###.#.##.##.##.##.#.#....##..##########.##......##.#####.#..#.###....###......#####.#####.#.#.##..########.#.#..###.###.#...#..##.#.##.####.##.#..###.#######.#.##..##...##.##.#...##.#####.####.#.##.########.##.####.####.#..######.####.#.#...#..####.........#..#.##.#......#.######.#.#..##.#.##..##.....##.#####.##..##.#.##.....#.#.#.#.###.##....##.#.#..##...#.#.....##..##.##..####.#.##..#.#...##.#...###...##.####.##.#.#..#.###.###.#.#...######.#.##.......#.#.###.###.#............##..#...##.##.##.##..#....##...#######.###.##.#.#.##.######...#...######.######.##........####..#####.....#.##.#####.##..#.##..##.#..##..#...#.#.##..##...###...##.#.#
#.#.#.##.###.##......##.####.##...##.##.....###....##.#....#.#.##...###...........#.##..##.#.#..##.#####.#..##...........##..#.###.##.##.#.##..###.###..#####..##.##......##.#.##..######.###.###.##.#....#............#.#....##.#..##.#..###.#......#.#.######....##.#...#.#.##.####.#..##....##...#.###..##........###.##...###.######.##.#..#..##...#.####....##.....#..##..##.##..#..#.#..###......##..###..#.##.....#...##.....####.##..######..#######.###...#.#.#.###.##.##...#.#.####......#.##.##.#..#.#####.#.##.##.....##.#..#..##.##.#.#.#.#...#.###.#.##.####.##.###.###.#..##.....##..#.###..##.#.#.#.####.#..####.......###..#.####.#.....###.#.###......#.###.#.#.####..##...####.#.####.######.###..#.#..##..#.##.##.##.#....##.......####.#.##......#.#.#.#....##....##....##.###.####.##...##..##.##..#..#.....##....##.##.##..#.##.###....##.####.##..########
#.#.########..#.#.#.##...##..##.#.#..##.#.#.....#.##########....###.....#########.#.###..#.#.##.#....##..#####.##.#.##.#####.......#####......##...#.##...####....#..##.#.##.###..###.#.#.#....##..####.#.###.#.#.#.#.#####.############.##.#.###.#.##.#..#.##..##..####.######.......######.#.##.#.#...##.#######.#.#....###.#........#.##.####.##..###.#....#.####.##.#.####.#...#.#####.#.######.##..#######......#.#####.#..#.#.###...##...#....###........#.#.###.#...#.##..##.##.#..##..#.##.#.##.##.##.#.#..####..#..###.###..##.##.##..###.#.#.##.##.#...#.##....#.#....#.##..#.##..##.###.##.....##..#.#.#...##.##..##..#.#.#...####....#.##.##...#.#.##..#.#.####...#.#....#.##..#.##.#.#...##..##.##.###.#####.#..#####..#.#..##.#..#####.###.######..#.#.########.##..##.#..##.#.##..##......##.###..#######.##...##.###.#.#####..##.##..#..##.#.###..##...##..#.....#
#.#.##.##..##.#.#.#..##.##..##..####.##.####.##.#...###......##.....#.#.########....#...##...##.####.###...#.#.####.#...##.##.#.##.#.....##.###..#......###..##.#...#####..######.#.........##....##..#.#.##..#.###.#...##....#.#.#.#.#.......#.#.######.##....####..#.#..##....###.#.#......#..#.###.####.#..#....#.##.#..##.#.##.#.#...#..##...###...#####.##.##...##.#...####.#.#.##....#.##.#....##..###.###.##.##.##......##.###...#.#..#...##...###.#.#.##.#.#...#.######.##..##.##.##.##.##.#.#...###..#.##......##.##.....##.#...#..##...#.#.###...#####.#.##.#.#####.###.##.##.##.##..##...##.##..##.#.###.#.#...#.####.#.#.###...##.#######..##.####..##.###..##..#.#.#.#.######.#.#....#.#..##.....#...#...#.####.....#.##.#.##..#.##............######.#.......##..####..#.##..#....##..#.#####.####...##.....#.#######..#.#..##.#######.#.###.#.#.##.##.#..##...#.#.#
#.#.##..##....#.#.#.##...##.#..###.#.####....########...##.#.##.###.###.#......##.#...#..###..........####.....#.#..######.####.##.#.##.##....###########.#.###.#.#.##....###.....#.#.#.#.#.#..##..##...#.###.#.##..#.#.###.#.#.........###.#...#.###....###.#....##...#.####.#.##..#.#.####.######......####...##.#.#..##.####..######.###.##.#...#.####....##..##.##..##.##.#..#.#.###.#.#.#....########.#.#.#.#..##.#..#.#.##....##.#####.#.#.#..#...###.#..###.###.#..#.##..#..##...#.#..#..##.#.#.#.##..##.###.#.#..#.#..#.#.##.#.#.#.##..##########.##.....###..###......##.##..#.#..###..########..##..###...###.#.#.#.##.#.#...#.#..#.....##..##.....##.##.##..####.#.###.#....#.#####.##.#.#.####.##.#.#.#.###......#####..#.#..##.#..#.#.##.####.##.#######.#.######....##.#.##.##.#.######.....#...###.####.#.##.....##..##...###.....#.#.#.##..#....#.##.##.##.#.#.#.#
#.#####.####.##.#.######.##.####........#.#.##........###..###################....#.#.##..###.#.###.#......#.#.#...##....#.#....##.########.#.#........#........#.#..###.##.##.##.###.#.#.#.#####.###.#.###.#.#.###.#.###.#######.#.#########.#.....##.#..##.##.#####.####.##.#####.###.#.......####.###.##...###..####.##..########....#.#..#.#.###....##.#..##..###..#####....##.###.###.#.##.#.##.#.###.......##.#..##.###.###.#.#..##....###.##.#.#.##..#.##...#...##...###.##.#..#.#.##.##.##.###.#..##.####.###.##.###.##.##########..##..#.#.##....##.#.#...##...#.#.##.####..#####...##....#.#...####..####..##.#.#....###.##.##.#.##.##.####.###.##..###..#..##....####..#.##.....###.##.#.#..##..#..#.###..##.#.##.....######.##..##.#.###.....#.......##########.#######..#..###..#......#.#.#.##.##.###..###.####.#.##.##..#...##.####.#.#..##.#.######...####.#####.#
#.#..#.......#######.....##.##...#.#.########..#.#.#.##...##..##..###.##.######.#.#.#.###.....#..####.#.#.##.####.####.#.....#.##..#........####.#####...#.###.#####..##.#.....#..#...#.#.###...####..#.#.....#...#.#.#...........#..##.......####.###.####..##.##....#.##.##.############.###.##.....##.#..#.####...##.##.##........#.##...##.#...###.#####.##..####.##..####.#####...##..#.#..#.##.......#.#.#######.##.##....#.#.#.####.#.#...##.#####..##..#######..##.##...#..##.###.#..##.##...#.#.##...###......#..##.#..##...##.##.####......#.##..#.###.#.###.######.....##.#.##..#####.#...##.##.###....##..###.#.####...##..###.##..#...##..##.#####...##.##..##.##...#####.##.##....###.##..#####.#..##.##..#####.######.##..##..#.#.#...#.#.#.#####...#.#.##........###.##...##.##.#######.#.#.......##........#.###...####.###.......#.#.##..#.....##.#.##.......###
#.##...#.#.#..##.....#.#.##.#..#.###....##.#####.#.#.####..##..##.#.............#.###...##.#.##.##.#..######.##.####.#####.#.#.#########.#.###.####....#.###.....##..#####.#.#.####.###.#.#...#..#...##.#.###.##.####.##.######.###.#####.########...#...##.##...####......##.#.##.......####...###.#.##.##.#.#....######...#.#####.##..##.#######...####.....##.##...###.#.##..##...#....#####.#.####.##.####.##......#######.##.###..##..####.##..##.#..##..###...###.######.###..#.##..#.##..##.#.###.#..#...##.#.###.###.##....###.....#..##.##.##..##.#####.#..##..##....#.#.##....##..##...#.###.......##.#####.##..#....##.##..###...#.##.#..##..#.#.###.#.##.###.#...##.##.#.#.#...###.###..###....##.#.##...##.##......##....#.##..######.#.###.#....##.###.#....#.#.##..##.##.###...#......##.####.#.##..#####.##.#...#.#..##....##.#.#.####..#.###.#.##..#.#..#.#######
#..##.####.####..###.#.#.##########..#.##........#.###.#######......#.##.#.##.#.#...##.##..#.#####...##......##..#....##...###...##...#..#.#...##.####.###...#.#..##..##...#.####...##..#.#.#.##...####.#.#....#.##...#..#......#......#######.....####.###.####.##...#.#######....#.###.###..#.##..#.####..#.####...##...#.#.#......##.##.##......#....#.#.#.######.##........###.#.####.....###.#.....###.....########.##.....####..########...####....####.#...#........#.#...##.#..##.########.#...####.###.#..#...#.#...###.###...#.#...###.#############...####..##..#.##.#####.#..##.#..#.#####.#.#.###..##....#..##.#.###.###...##.##########..##.....#.#.##.#...##.##.......#.#.#.##....##.#.#.#.##..#..##.##..##.##.#####.#######..##..###.######.#.##.......#########.#####....###.####.####..#.#.###########.####.###.#.####.#..#.#.#....#.##.#.#.#..##.#.##.#.......#
#######......##.##...###...#.##.#...##.##.#.#.##.#####.#.##.#..#.####..######.#.#.#.#...##.#.#.....#..##.#.#####.####....#####.######...######.#...#.....###.###.##..##..#.####.##.###.##.#######.##....###.#.######.###.#.###.###.#.###.....##.##.##.###...#.....###.#####.##..#.#####......##..##.###....####....#..##.##.#.#.#.#.##..##..##.#####.##########.##.#..####.#.#...######...##########.#.##...##.##...........##.###...##..###.###....##.#.#..####.##.#.##.#...##.##..#.#######.##...##.###.....###.###.####.#.#...#####.#.#.#.##......##.##.....#....##..#.##.##..####.#.######.#.....#.#.#...##..##.####.#..#.##...###.#####.##...####.#..##.##.#.#####.##...##.#.######.#..##.#.##...#.#.#####.###..##..#.##.##.#........##....##.....##.#####..##.##...#.#.#.####..##.#..##.####..#.##...#....###.........#...#.#...##.#.##.#.#.#.####....####.#########.##.#.##
####.####.#.##..#..#.##..###....##.################...........##.#....###.#.###.#.#.#.####.#.#.##.###..###.#..........#.####.####.....#.#...#....#...#.#.#.....#..##..####.###.....##..#..#.......##.#.##...#.....##..##.#.###..##.###...###....#......##.####.#.##....#....##.####.#.#.#.##.######...##.#..##..##.#.#####..#.###.#..##..##..#####.......##..........##....###.#.##.....#.#...#...####################.#.##.##.##..#..##.........#.##..#...##..#.#..#.#..##.###.#..##.#.##.......#..#.#...#.###...##...##..###.#...###.#.###.#..#.#.##.....#.###.#.##..#####..##..##..#.##.....##.##.###.##.##..###.#....##.#..##.##............#....#.##.##..#####......##.##..#..##.#..#######.##.#.###..##...##..##..##.#.......#.#.##.##.#.##..#.#.....########..#.#........#.#.##..#.###....##....#.#.##.#...#.#.#.#.#####.#.##.##############....##.#.##........##....#.#..#
#.........#..####.##..##..####.######.#.##.#.##...##.##.#.##.######.###.#.......#.#.###.#..#.#.##...##.##..##.#.##.##.####...##.#######.###...#.###.########.###.###.####..#...#.#..##.##.#.#.##.##..####.#.##.########..###.#.###.###.####..#.###.###.####....#..####...#######........#.#.....##..#..###.####..#.#.##.###.####..##.#..##..##.....#.#.#..######.#.#..##.#..##.#.####.#.#.###.#.###.#.#.##.#.###.#.....#.#...###..##.#####.#.###.#####.##.####...##.#.##..###.###.#####....##.##.#.##.###.#######.###.##..##...#.#.#...#.##..#.##.#####.########.#######.##..##..###.##.##.###..#.##..####..##.##...##.#..#.##..#.##.#.##.##.###########...#.###.####.#.##..###.##....##..##.##..##.#...######.####.###.####.#.#.###.#..#..#.#.###.###.#.#..#.###.#.####.########....######.#.#.#####.####..#########.#.#.....#.#.##.##.#.#.##.#..##.#..###.##.##.#.###..#.##.####
#.###.#.###.####..###.#####.#...#.#.#.#.#..#..###.#..#..#.#..#..#.###.....#.##.####.##....##.#.###.##...##.##.###...###....#.........#############....##.......#.##..#..#.########.##..####.###..###.#....####.###...#####.....#.###.####...####.#...#.#....##.#.#####.#....##...#.##.#.####.##.#..##.##...#....##.#.##......##..##..##..##.####.###.######......#.#.##..#.#######.##.#####.....#...#.#.#..#.#...##.#.#####.#####..###.###.#.#......##.#..#.###.##..#####......##..##...##.##..#####...######......##.#######.##.#.##.##..##.#.#....##..####.............###..##.##..##.#..#...##.#..##..##.##..##.##..#.##.#..##.##.#..####...........##.####....##..#..##..##..##.#.###.....##.#..##.####.#..##....##..##..#.#...######.##.#..##.##..#.##.......#..##...........##....##....#.....#....##.........###.#.#.#####..#..#......#.#.##########..#.##.#...#.##..#....#
###...###...##...##....##.....#.#.....#.##.#.##.#.#.###.#######.......##.#####....######.##..###...##.#..###..####.##########.###.##.#.#.....#.....##.####.#.#######.##.####.##.....####.######.##...####.#......##.##.#####.#...##...##..#.##.....#.#.#.#.##..#.##....##.#..##########.#.....####..#.#..#.#.#.##..#.#..#.#.###.##..##..#####....#....#.#####.##.#####..##.#.#..#.....##.####.#...#.....##.#.###.##.#.##..#.....##...#.#...####.#.###..##.#......######.#.######..###.####..##.#.....#..##....##.###.....##...####..#..##.#..#.##.#..####....##.#.###.####...##...##..#.#.####.#####.##.##..###.##.##.##..####.##..###.###.######.#.##.##..######....###.##.####..#####...#.#..#.#.###.#....#######.##..####.#.#.#.....##..#.#.##..##.##.###.###########.##.####.###.##..####.#.##.###.####.#.####.##...#.#.##.###.##...##.#........#.##..##.#.####.#####..##.####
#...#.#####..##.##..##.#..#.#.#...#.#................######.#.#######.#..##....#.##.......##.##..#..###.##...##.#..#......#...##..##...##.##...###.#....####....##.####.##.#....#.#..##.........######....##.#.#.#.....#.#...#.#..###..####..##.##.#####.#####.#.####.##..#######.......#.#.#.##...#####.#.###..######.##.#.#....##..##.##.#####.####.....##..#####.##.#####.##.#######....#..######.##.#...........#####...#.#.##.#.#...#.##...######..#######.##.............##.##..##...##..#.#.#.#.#####.##...##.##.##..###.###.#.######.###..######..#.##..#.#####....#.###.##..####.#.#...##......###.#.###..##.##.##.....##.##..........###########.#.#.#####.##...#.##.##....####.###.##.#.##....######.##..###.#.##.#.###.##.##..##.#..##.#..#...##..#####...####.....#...#####..##..#.##...#..#.#.#....######.#.#......#.##.###..#.#.#.##...##.###.###......##..##..##.#
#######.#...##...##.#..####.####.##.#.######.##.#.#.##........#.......#######.##..##.#.#.##..#..###.##...###.#....###.#.#...#..##.##.#....####..####.##..##..####............##.#.#.#####.#####.#.#....##.####.#######.....###.#.#####......##..##..##.....#.#.#.#.#...##..##...####.##.###.####.#..###..######..##....####.##.#..####..#........#....##.####.#........##.....#.##.#.#####.#######.###....#.#.#.#.#.##....#.#.#..#.#.#.#.#.##.#.....######......##.##.#.##.########..##..#..##.#####.#.#......##.###.##.######......#...##.#.##..###.#.####..##.#....##.######.#..##....###...#..##.#.###.......##..#.##.##.#.###...#.#.##.#.###........####.....#...##.#.#.##....####....##...###..##.#.........##..##...####...#.######.##.##..###.###.####.....##.##.##.#.########.###.##.######.###...#.##.#.....##.####.##.#####...#.##.#.#..#.#......#...###.##..##..##....#
####.#....#..###.####.##.#####...######......######.##.####.#...#.#.#.##..##..##.#######..#####.##...##.##.####.#..####.##.##.##...####.###....##.....#.####....#########.##.#..###.#.....#.....#...##..###.....#.#....#.#.#...####.#..##.#..####..####.#.##...###...###..#####..#.#.#..##...##..##...##...#.#..##..##...##.#..##..##..####.####.##.#.##....######.#.#.######.#.#...........##.........##.#.#.###.#.####.##.####.###.#.#####..##.##..###...##.####.##.#.##....##.###..##.##..####.####.###.#######...##...##...#.#.##.#....#.##.##.#........###.##.####.#........##..####...######..#.###.##.#.##..##.##.#..#..##.###.#.##.#.....##.#.#....###.#.##.##..#.#.##.##....###.##..#...####..#.####.#.##..##..#...##.#.#...#.####...#####..#.....##.#.#..#.....#.#......#.#...#.##....##..####.#####.#####.#.....#.##.....#.#.####.####.###.#.#####.##....##.#..##..#.##
#..#.######.###..#....#..#.#.###.#...#########.#....##.#....#.#.#.#######..##.####.##.##.##.....#..######...##..#.##....#..#..#..########...#.####.#.##.##.#.####.........#..##..##.#.##.####.#.###.###.#...###.#.####.#.#.#.#.##.....##..####....###.###.#..######.###..###.###.....##..#.#..##..#.#.##.###...###.####.###.#.##..######.#####...####.#..#.####.####.#.#.###....#####.#####.#..##.##.#..#.######..#.#....##....#...#.#.#.....##...##.#...#######...####..##.#......####...##..##.......###..##.....###..#.##.#.#.###..#.##.#.#..##...##.#.#.##..##....#####.#.######....##.##....##.#...######..##..###..#.##.##....#.#..#.##.##..#.#.##.#.#####....###.#.#..#..##.####...##.#.#..##..##....#.#.###..##.##.###.#.#.#.....###.####.####.##.#####.##...#######.#.##.....#######.#..##..#.###.#.#.....#.##.######..#.###.#####.....#..##.#..##.#.##.#.###.##..##.#..#
##............######.###......######..####.......##..#####.##.#.#.##.##.##.#...###.#.....#..##.#####..##..#.###.####.#.###########.#.#..#####.#.##.###..##...########.###.##.#..###.#.####.##.#.##...##.#.#.#...#......#.#.#.#..#.#.#####.##...#.##.#.###.##.#......##..##.#.#.##.##.##.####.##..##.#.##.#...#...#.#....##..#..##.#.#..........###....#.####.........#.#.#...##.##..#.##......##..##.##.###......####.##..##.#.############.##..#..#.###.##.#....#.#....##..#########...#..##..##.####.#...####.##.###.##.##.#.#.##..##.##.#.##.#..###..#.#..##.##.####.....#.##.....#.##...##.#....#.#...##...####...##.#.##..##.###.#.##..#..#.######..#...##..##..##.#.#.##.##...#.#.#..###.######.#..#.##.###...##...#.##..#.#.#.#.#...#.......##..#..#.#######.#####..#####..#.#.....##..##..##....##...##.#.##.##.....##.##...#.....#.#.#.#####.##....####.#.##...#.###.#.##
#..#####.#.#.####.####.######.#.#.###....###.##.#######.###########...#.#....#.#.....#.#########.##..##..##......##..###....#..........###.#..#....###.#####.....####.#...##.##...#####.##.##.#####.#####.#.###.#.###.##.#.#.##.#####..#...##.##........#######.###.##.##.........#..#.....#..##..#.#.##.#.#.##.##.#.##.##.##.##....###.##.##.#######.####...##.##.#.#.#...###...##....##.##.##..##..##..#######.##...###..###.....##.#.#.#.#..##.####...##.###.##.##.#..##.........##.###.##.#####....###.#..###....####.#..###.#..##..##.#.##.##...##.###.##...#...###.##.#.###.##.######.#####.#.#.#.#..###.#....#..#.#.##.##....#.#..##.#.##......##.#.#.###..##.##.#.#..#..##.##...#.##........###.##..#.####.#####.#..##.#.#.#.#.##.##.##.#.##..###.......##..#...#.###.###.#.#.#.#####..####..##..##.##########..###.##.##.###.#####.#.#...#.###..####..#####..#.#.#...#..#
##.#.....######.#.#.#.........#.#...####.#.#.#....###....##.##.#.#..#.....####.#.#.#.#####.#####....##..######.#..##..##.##...##.#.#.#..#....###.#.#....#.##.#####....###..#..##.####.......###.....##....#.#...#.#...##.#########.###.##.##...##.#####.....#####.#.###########.####.##.#.###..##.#.#.##.#.#.#########..#...#######.#...##..###.......##.##.##..##.#######.##..#....########..#####.####.#........#####.##..##.#####........##.##..##..#.##.....##..####.###.#.##.#.##...#.#....##..#.##.....##...#.####..##...###.####..###.##.###.##..#....###.#####.#.##.#.#.#.#....##...#.....#.#.#.#.##...##.#.####.#.##.#..#.####.##..#.##.#.####..###.#...##...#.#.#.#####..##.#.#.##.#.##.#####..#.##.#.....####.#.##..#.#.#.####..#..###..####.#.##.######...#........##.#.#.#..#.###....#.####.....#.#.#.####...####.##.###.....#.#.#.#...####....##.##..##.#.#.##.##.##
#..###.#.##.........#########.#...#####......##.###.####...........#####.##....#.#.#.##.....##.####....##......#.####.######.##..######...#.##...#.#.#.##.......#######...######.##.#######.....###..##.#.#.##.##.#.#..#.#....#..#........#######....##.#.#..##.......##.##.##..####.##.#...##.##.###.##.#.#..##.##.#..##.#...#.#...#.#.######..#.###.....#.###.#..##.#.##..##.#.#.####..##..##.....##...#.#####.####....#.##.....#######.#.####..######.###.#.##..##....#...########..######.###..##..###.#.##.#.#....####..#..##..#.#.##....###....#.##.#.##.........#.#..#.#...##.#..##.##.##.##.#.#.#..##.##..#...##.#.#####.#.#.#..###.#..###....##...#.###.#..###.###...##..#######..#.#.##.....##########.##..#.###..##.#.#.#.#....##.####.##.......#.....###.###.##.#######.#.##....##.#.##..##..#.#..........#.#....###....#.#.#.###.####.##.###.#.....#.#######.#..##..#
##.#...######.####.##...........###.#...#.##.##.#.#.#.#######.#.####.#####..##.############.##...#####.##.##.#.#.#.....##.########....##.##..##.##.#####..##.#.##.#######.##.....##....####.#.#...##.##.###.#...###.#.#######.##.####.###...##....####..#.#.######.#.##........##.#..##.##.##########.##.######.......##..##.##...###.###......##.##..##.##.#...####.......##..######.##....#####.#..##.##.#........##.#....#.#.###.......#...###.#.##...#...#.##.###.##.###.##.....#####.#.#...##.##.##...#.####.#.#####...##.##..##...##.#.###..#.############.###.###.##.#.##.##..####..#...#..###.####.#...##.##.##..#....####...##...####..##.##..#.#####...##...#.##..#..#.###......########.######...##....##...##..##..###.###.#.###.##...###.#.#.##.##.##.....######.#.#######..#.###.#.##.####.####.#.#.##.##.##.####..########...###....##...#.#.###.........#.##.##.##
########....####......#.####.##..##.###.#..######.#.#.#.###...#.##.........###..#.######.##.####.#.##..##.#..######.####..#....######.....#.##..##.##.###.##.#.##.....#....##.########.#....#.#.#.#..##.##..###.#...#.#.#.##..........###.#.##.##....##.###..##....#.#######.#.#....######.##.##......##.##.....###.#.##.##...###.##....#####.##...##.##..#.###.#####.##.#######.........#.##.....#.##..##.###.##.#.#..##.#####.#.###.##.##.###.....##.###.#.###..#...##.#......#.###.........####.#...#####..##..#.....###.##..##..#.#.#..#.##..####.#.#######...##.##..#..#.#...##....##.##.###.##....##.##.##..##..##.#.##.#....######....#.###..#.#####....####.###..##.#.##...######...#.#....#......#..#.#.###.#..##..##.##...##.#.##..###.##.###.#..#########.#..##.#..........##.#...#.#.#..##....#.#.########..##..#.##........#.#...##.#....#.#.#...#.##.#.##.###..##..#
#.#......##..#.##.#.#.#.########.##.....#.##......#.......#######..##.###.##...##..#.##..#............##..##...###..#####.#.##...#.####.#.#.###..###......#..#.#..#.#...##..######.##....##.#.########..#..##...#.#.#.#......#.###.##.#...#..#.###.###....##.#####.###.......#.##.#...##....#..####.#.###########...#.##..##.###..##.#####.....##.##...#.####.###.....##..#.#.###.##.#.#.#.######.#..##..#.#...##.####.##...##..#.....##.##.#####.#..###...#.######.#.##.#.#.##.#..##.#.#.###....####.##.....####.###.#...####.###.##.#.##.#.#..##........#.##..#..#..#.##.##.##.####.###...#..##..###.###.#..##.####..#.#..####.#..##..#.##.#...####...#.#.##.#......#.##..#..##.###.....#...##.#...##.#.#.####.#...#.####.#..###.#####..##...####..#..#.###...##...####....####.##.##..#####.###.####.#...####.##.##.####...##.#.####.###.###..###.####.#.#############...####.#
#...####..##...######.#.#..###.#.###.#.##..###.##...####.##.##.#####..#....#.#..##....##...#.###.###.######..###.##.#.....######.#.#.#..#.#.#...#######.#.##.#.######.#..##.##........##.##.#.##.##.###.#.#####.#.###.#.#.#.##.##...####.#####.#.....##.#..###.......##.###.####..#.#.###.#...##....#.#...........###.#..#####...##..##....#.#.####..#.#..##......#.#.#..##.......##.#.#.#.#......#.####.#######..##...##.#..##.#.#.#.#..#.....##.#.##...#.#...##...#..#####.####.##..###.#...#.###....#.###..#.#####.#####......######.##.####..########......###.#.##.##.#..##.#.#....###.#.##..##.....####..####...##.#.###...##....##.####.#...######.#######.#.###..#.##.##....#.##.##.#.#..##.##..#####.####.#.#....#.##...#.##....########.##.####...#.###..#....##.####.####..##.....#.##.....#.#.#..........###.##.######....#..##...#.##......###.............###...##.#
#.#.##...#####.#.#.##.#.##.......#.#.#.##.##...#########.#.......####.#.#.##.##.#..##....#.#########...##...###..########..#.#...#.....##.#####.#...#...#.#..###......##..#########.###...#.#.##......#####...#.#.#...############.###......##.###.#..####..##.###.######...##...##.###...#.#.#..##.######.#.##.#...######.....#..##..#.##.#.###....##.#.##..#.##.###.######.###.##..###.#.###.##.#..##...##.##..##..#.#..#.###.#.#.####.##.####..#.##.#.#.#.#..###.#.##........#####.##..#.#.###...##.#.#...##.##......##..#.##......###.....#######.....#.#.####.###...#.##.#....##.###...#..######.#.##..##....#.#..#.#...##.#####.##....##.#.###.####...##....#.###.##..####.#.####...#.####.##..##.##.##......####.#.#.##.###..####.#..##............#.....#.##.##..#.......#.##.##.###.#.###.######.#.#.####.#.....##.....#############.#..###.#.##...#.##.##.###.###.###..#
######.#...###........##########.....####.##.#.#...........##.##.#.#..#.#.##..####..###.##.#.........#..###.#...##.#.##.##.....#...##.##..##....###...#.####...####.#..##.##.####.....##.##.#..######..#.#..#...#.##.###.#.#.###.#.##..#.##..#####.#.###.##.####.....##...#.####.##.##..#.#.#######.###....#.##.#.#..#..########.##..#######.######.##.#.###.###...##.#....####..###.##..###....####..#.#.##....####.####.#.##..###.#....##....##.#..#####.###.##...#..##.#.#.#..##...##.##.#...###..#.#.##.##.....##.#..##.#####.######..#.###.......#.#.#.#.#.#....#.#.#.##.##.#.##...###.##.#.#.#..#..##.###.#.#.#.##.#.####.##.....##.#..###..#.......#####.#.#...####.###.###..###.#.###....#..###.....####.#####..#.#.##...#.##......#####.#.##.##.###.#######.###...#.###....#..#...###..##......###.#....#.#.#######.##.......###..########..#..##.##.#..##...###...######
##.#.#######...##.#.#..##........#.#..##..########.##.##.#.####....#.####..##.##...##...####.###.#.#.#.##...###.......#..###.####.##...##.#..##.#...#.#####..#..##..#.#####.......#.###...######.#####.....##.#.#######.............##.#..##.##....#.....##..##..#.###..#.#.#.....#..##.#.#.##......#...#.##.##.####...##........##.#####......######..#.#...##..#.##.###.##..####.#..##...###.##....####.#..#.##....#....###..#########..##.#.##.#.##.....##...##.##.##..#.#.#.#####..#######.##...##.#.#..##.#.#..#.##.##..##....####..##.#...##.#.##.#.#.#...#.#.####.#.##.##.#.####.##..##.....##.##.##.....#.#.#.#..#.##....##.##..####...##...#.#.#.....######.##.........##.##...#...##.###.##...#.#...##..##.#.##.#.##.#####..##.#....##.#..###..##.....##.....##.######.##.#.##.#...#######.#.###..#.#.#######..##...#.#.#.#...##.#.##.....###..#..####..##.###..#......#
#....##.#.####.##.#.#######.#.##.#.##..##.#..##.#..#########.#####.....##.##...##.#####..#######.###.#..##.######.###...##.###....###.###########.#######...###..##.#..##...##.##.#...#.####.#.........##.#####..##.#...#.#.##.##.######.##...##.#.#.##.##..###.##..###.###.####.###.#..#.#.##.####.##.##.#..#....##.#..##.###.#..###.#.#.#.#.##......######.###.#.####....##...#....###.####..##.##.##...#.######.#.####...##....###.##.#####..###.####.#.###.##...###..##.#.#.#####.####.....##.#..######.##.#.#.##.##.##.###.##....##.#..##.###.#.#..###.#.#.#.###.######..#..#.#....##.###.#.#######.###.#.####.###.##..###.##..#..###.#.#####.#######.#.####....##.#.##.#.##..##.#.#.###..#....#.#.#.##.##..##.....#.#.##...##..##..#.##########...#####.#..##.#.##..#.##.####.###..################..##.#...#.#.#.###.#.#.#.#.#.#.##...##.##.##.#.###..##..##..#...##.##.###
####.......###..###.##...######..#.#..#####.##..####.##...#........#.###..######..#.....##.......##..#.#####......####.##...#..##.#......#.##.....##......#..##.###.##.#..#.#..####.###.#......##.#.##.#..##....##....#.#.#.##.#..##.#....##.#####.#..####.###..##.##...#...#....##..##.###.#...###..##########.###..#.#########.###......#.#.######.##....#.#...#...###.#..#.#...##.##..##...##..#..#..#.#.....##.#.#....#.#..####....#.....#.####....#.#..##..##.##...##..#.#..##...#..#####.##.##..#.#....###.#.##..#.#..##...#.#.######.##.##..#.##...###.###.###...#.#..###.#.##.#.#....#.#.......#.#...#...##...#..##.##...##.##.##......##...##.#.######.#.##..###.#..#..##.####.#...#####.#.#.######..##..###.#########.##..###.##..##.#..#...#.....###.##..#..##.........######.##.##..##....#.#.#####.#.........#.#.#.#.#####..#.#######....#.##..##..####.##.##..##...#
#....###.###...##...###.##.#.###.#.##.#..##.###...#.....#...#####.##...#.##..#.#####.##..######.####.####.####.#.##.....###.##.#..#.#.####....#.#.#####.#.#.#####.###..#.##.##..##...#####.#.########..##.#####..####.#.###.########...##.##.####..#.###.###...##...##.########.####.##...####.##...####..........####..#.##.......#.#.######..#####..####...#.#.##.##...##...#.#.#...##.##.#..##.##.##.####.##########.#.#.##....##.#...##.#####...#.##.##.#..##...###.##.####.##..#.#.##.###.##..##.#...#.##...#..#.##.#.####.####...##...##..##.#####.###...##.....#.#...##...#.#..#.#.#.##.##.#.##.#####.##.##..#.##..#####.##..##..##.#.#..##.##.....#.#.#.#.######..#.###..#..##..#.####....#.#...##...###.###...#.....######...#.#..##..##...#.##.#.######..##.####.#.##.#.....##.......##..##...####.#..#.###########.#.#.....##......##...##.#..##..##.#.#####..#.##..#.#
##.###...##..#..##.##...#........#.#####........#...#.#####.##.....#.#######.........##.###.....#.####.....#.#.#####.##......####.#.#....#.##.###.#.....###.#......##.##.#..##.####.##...#####..#..#..#####.#...###...###....##.##.#.######...##..##......##.#..##.#####........#.####..#...#####.#.##.####.###.####...##....##.#.######.#.#..##.....##..##.##.########.############.##..##.##.##.##.##.##.......##.##..#.###..##.######.##..##...#.#.#####.####..#.##..##..##..#..##...##......#.##..##.##.####.#.#########....#.#########.##.##..##.##.#...#..#.#####.#.#.#..#.#.##.#.#.###..####..#.##....#..#####.##.##......##.##.##..#.########.###.......#.#......##.#.####.####.#....###.##.#.#..#.#...#.##..#...#####....#.######....####.##..###......##.####.####.##############.##....####.###.#.##.#....###.#..#.#.##.#.###.#.#.##..#..####.#..###....##.#.##..#.####
#..#...#....###########...#.##.#.###.#...#.####.###.#....#######.#.#...##.####.#####..###.###.#.#......###...####.....####.#......####.#####....#.#####..##.##.#.#....########.##...####..#..##.##...###.#....###.###...###.##...........###.##..##..#.#.##..##.#..##.#######.#......####.#.#.....#.##..#######....##.####.#.##.#.#.#.#......####.##..##.##.##.##.........##...#.#.#.###..######..#####.###.######.....##..###.####.......##..##.##.###.......###.#..##..##..##.##.##.#.##.#.##.###..##..####....#...#.##.#####.......##.....#..##.#..#..###.#.##.....########.#.#.#..#.#...##....##.###..#.###.....#.#######.#.##...#..##.#.###.##.#...#####.###.##.###.##...##....##..#.#.#######.#.#######.##.#..##.#....##.##........##.#....#..##.##..###.##.....#..##....#.###.#...##########.#.........#.#.##.......#########.##..###.##.###..#.#.##.#.####..#.#######.#.##
##.##.###.#..###.##.#####.######.##....#.#.#....##..##.#.#.......#.#.###.......###...###...####.#.#.########.##.###.#####..##.#.#...#####.####.##.#####.##..##.######..##.##.#..#.#.#....##.##.....#.#.....##...#.##..###...##.#.#.#.##.##....##..##.#.###..###.#.##.....####.#.##.###....###.#.#.#.###.........####..####.######.#.....#.##.#.####..##.....##..##.##.#.###..#........##.##......##......#####.##..#.#.##.##....########.####..#.##...#####.###...######..##.##..#.#..#.##.###...###.###.#....#.##.#.......#.#..#.#.#.#..##.##.######...##...#..##.##.##.#.##..#.###.##.##.#####.##...#######...#.#.#...##....#.#..#.#.###.#..........#...############...#..#..#.#.####.#.#.....##..#.####..#.#####..#.##.########.##.#.##..##.#.#.##...##...######.#...####.###...#.#.###.##.##.#..##.#.#.####.###..#.#.###.#.##.##.###...######.##...###......###.......###....#
#..#..#...#.##............#.......#.##.#.#.##.#.##.##..#.#.#.#.#.#.#.#...#.#.#.#...#...#.#......#.#.#...............#.....##..#.#.#.#...........#.#......##.##..##....##.......##.#.##.#.......#.#.#.#.##.##..#.#....##...#.##.#.#.#..#.#..#.##..##..#...##.##..#..##.##......#..#...##.#.##..#.#.#.#...#.#.#.#....##..##..##.....#.#.#.#..#.#......##..#.#.##.##..#..#...##.##.##.##.##..##.##.####.##.##........##.#.#...##.#.#..........##.##.#..#..##....##.#.....##.##..#..##.##.#.#....##.##.....#.##.#.#..#.#.##.##.#...##.#.#.##.##..#.#......#..#.#.#.##...#......##.##..##.##.#.....##.##.#..##.....#.#.#.#.#..#.#.##.##.#.#...#.#.#.#.#.#.##.#.........##...#.#.###.#.#.##...#.##.#.####.#....##....##...##.##.....##....#.#..##.##.#.#.#..#.#..#...##...#.#..##......#.................##..#.#....#.##..##.#...........#..##.#........##.#...#.#.##..##.#.#.#...#.#.##
###############################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################.E#

#S##################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################
#..#.##.#..##.#.#.#.#..##.#......##.##.#.#.#....#.#.........#..##...#.##.#.#...##...#.#.#..##.#....#..#........##....##.#..##............#.#.#.##.......##.#...##.....##.#.##.#.......##..##.##.#.#..##.##.#.....#.#..........#.##..#.##.#..####.#..#...#..#.#........##.##.#.#.#..#.#..##.##.##...##..##..##.#.#.##.##..#......##....#.#.#.##...##...........#.#.#.#....##...##..##.##.#..#.##.##.###.#.##...#.#.#.##.....##.#.#.##......#....##.....#.#...##....#.#..##.#.#..........#.##.#..#.##.#...##.#......##......#.#.#.#.#.##.#.#.#.......#.#.##.#..#.#...##..##.#..#.#.#.#.##......##..##.#.#.#.........##......#.#....#.##......##.##....#..#.#.#.....#.##...#...#.#.#.#.##......#.#.##.#......................#.#.#.#.##.#.#.................#.......##..#.#.#.##..#.##.#......#.##........#..##.......#.#......#..#.##..#.##..#.#..#.#...#.#...#.....#.#.......#.#.##.##........##..#.##.##..#....##.....#......#.#.#.#
##.#.#..##..........##.##.###.##....##.....####.....#######.##.####.#.#..#.#.######...#.#.##..####.##.####.###....##......########.#####..........####.###.##.####.####.....#.#######..##.......#.##.##..#.###.###.##########.#..##...##.##..##..##...#.#.##.#######.###..#.#.#...##.##........###.##.##..###......#..##.#.########.###.#.#.##.###..#.#.#######...#.#.#######.##.##...#.#.##........#.....##.##........###..#.#......####...####..###.....#####.###.##........#.########.#..##....#.###.##...#.##..#.######.#.#.#.#........##.##.#.#.#......##...#....###...##.....#..##.###....##........#########..######.#.####.#####.####....####.##...#.###....###...#.#...#.#..##.#####.#.#..#.########.#.#######.#.#.#.#...#......#################.#####.#..##......#.##.##.##.#####.#..#.#.####.##..#####.#.######.#.##.##.##.#..##.##.....#.....#.#.###.....##.####.........##.#.#..##.......##.#.#####.###.#.######.....#
#..#...##..########.##........#####.######.##.#######...............#.##......#...###......##......##.#.####...##.####.##....#.#.###.....##.##.#.###.#.#.#.##..#.#.#.######.#.#..##.#.#########.#.##.###...###.##...............#####....###..##..#####.#.##.#.#.#.#.#.##.#.#.#.####.###.#.###..##..#.#..##.##.###...###.......##....##.#.#.##..#..##.#.#.#...###.#.......###.##..##.##...#..#.#.##...###.##..#.##.#.#...#.##.#.####....#.#......###########.#...##.##.##.#.###....##..#.##..###.##..##..#.#######.....#.##...#.#.#.########..######.#.########.#######.#.#.####.###.##....#.##....#.#.##.......#.##......#...###...###.......#####...####.#.#.##.###.#.#######.#...##..#..#......##....##.######.#########.#...###.######.#.##.........#.....####.#####.####.#...#.#..........##.#..#.#.##.###.####..##..#.#..#.#.....#.##.....###.####.##.....#.#########.##.################..########.....#.#...###..#.#.####.##
##.#.###..##.....##....########...#.#.#.#...#.#.##.##########.###.#......####.#.###...#.######.#.#..#.#.#..########....#..##......############.###...#.#.#.###.#......##....#.#.##..#.##.###.##......#.##.##.#.###.#.####.#####.##.###.#..##.###.##.##..#.##.#.#.#...#.##.#.#...##.#..####.####....##.##.##......#####...###########.........##...#######...####....#######...###..#.##.###.#################....#####.######......#.##############............#..#....#############..##.##.##.#....###.##..#.#.########.##.###......###..###...#.##...#..#.#.#.#.###.#.#.###.##..##..#.##.#.#..#########.#####......#.####.###.#.###.##.######...#.###.#.......####..#..#.##...#.#####.#.##.####....##....#.#.##.....##.##...#..............#..##.#.##...#.#.#.#....##.......#.###.#.###########.##..........#...##.####.#.#.##.##.##.#....##.###.....#####.##.#....##.##..##.#.#..........#.##.##.###...#.#.....######......##...#
#......####..###....####..#..####.......###........#.#.#.#....#...##.#.###........#####.#..#.#.#.##...#...##......###.##########.##..#.##.#....#####.....#.#.....##########......##.#.##.....##.####.#.##....#.#.#.#########........#####.##.##..#..###...##.....###.#..#.#.###..#.##..##..#....####..##..####.#.##..#.#...#..##..##.###########.##.##.#..####.##.#.#.#.##..#..##.##......#.#.#.##.###...##.###.###.########..#.####.#.#.##....##.#.####.#.#.#.##.#.##....##..###..##.#..##.##...##.#.#.##.##.#....##....##.#.####.#.....##.#.###.##.###.##.#.#.....#.#.#..##.##.###.##.#######.......#.#....##.#########..........##.##...####.###..#..##.######....##.##..###...#.##....#...##..#####.##........###.....#.##################.#########.####.....#####.#.#.#.#...#.#..#.#.#.#..#..###.#.######.###..##.#.#.#.##.....####.######.########..#..###.####...##.#......##########...........###.#.#######.#..########.##
#####.##.################.##..#########.##..#.#.##...#...########.####.##..#####.##.....##...########.##.####.##.##.###.##.###.#.###.#.#....#.##.#.#####...#####....##....######.##.#..####.#####......#####.#.#.####...##.#####.####.#.#.##.###.##.#...#####.##.....##.#.#.####.#.###.###.####.#..##.#..##....###..####.#...###.##....##.##..##.......##......####...#..#####..#.#..####............#.####..#.......###.#.#.#######......##.###.......###.###..#....##.###..##.#.##..#.##...##.#####...........#####.####.....#.#.####.###.#.........##.##.#.#.#####.#.#.###.##......#...#.##..#.#.###.###.##..##.##.#.##.##########..##.##.....##.##.###.#....####.##..#.###..#.#....##...#..##.###.#.####.#.##.####.##.........###..##.#.##.##.#.#..#######.####..#..#.#.#...###.#.##.......###...###.....##.#.#.##...........#.#..##...#.###....#.....###...#..###.###....#.##....#.##.##.###############.#.#.#.#...###.#.#....#
#.###..#..###.....###......#.##..........###########...#.##.#......##...##.#.....######....####.##.......#..####.#..#....#...............#######....####.####....######.#.............##.#..##.#######..##...#.#.##.##.##.........###.....#.......#.###.##..####.#####..#...#.##...#.#...###.#....##....####.#..#..##.##.#####......##.#...#.##..###.###..######.##.###.##.#...##...#####.####.#######..#.##...#######.#.#.#..##...##.#.###......#.#######...#####.########.###.#.#..##.###.###.#.##..##.######.....#..#.##.####....###.#.#...##########.##.#...#.#.#...#.#.#..#.##.#...#...###.#.#..##..########..............####.##.....#.#####.....##....#####.#.##.##...##.####.#..##.###..###...#...######.....#..##.###.#.##.#.##..#.....#.#...#####.#####.##...##.#.##.###.......#.##.################..#....##.##.##.#.##.##..#.###.#.#.####.###..#######.........#.####..##.............##.##...#####.......###.....###.##
#...#.##.##.##.##...######.#.##.#.#.###.##..####.#...###......###.##..###..###.#....#.####..##...######.##.##....##.####...######.##.#.#.##..#.##.#.......#.##.#......###########.#.#..#.##.##.#.#.#...#####.#...##.#...###.#.###...#####.##.####...##..#..##.....##.##.#.###.####...#.###...#.########..#.####.#.##..#...#..######.#####.##..##...#.#.##.##.###..#.#.#.#..###.###.##...#....#.......##...##.###.#.........#.##..#########..##.###.....#.#######.#.....##.#.........##..#...#.#....##.###############.##.#...###.####.###.#.#####.##.#.#....#.###.....#.#.#.##....#.#.#####..#######..#.##.#.####.##############..#.#..###...##....###....##.#.##..#.#.....####..##..#.#####.##..#..#.#.#...#####.#.###..###.#####.....##...#####...###..#..#.#....##.#####.#......#.#.###.##...##.............##.####..##.####.##..##.......#.#.#.#...###....##.#.#.#.#####....####..#.#######.#.......#...##..#####...#.#####....#
#.#...##.##..######.#.##.#...##.#.###......##.#....#.#...#.##..##..####...######.##....###.#####.##.........####.#..##.#####.##.#.##########...##########.#..#####.####..#.#.#.#######.#.#..#....#.###..#.#..##.##..###..##########.#.#.#..####.###..#.##.#######.#..#......#.#....###...#.#...##..##...##..#......##.###...##.##.#...##...#.###.#####.##..#...##...#...##.#.#..##....####.######.######.##........#.#.##.##....####.#.##..#########.#....#.#....###.###....####.######.#.###.#.##.#..#.#......##.....#....###.#.......#..........##...####...#.#.##.##.#....##.########.#####.#.#.##...........#.#.#.....#.#....##.#.##.##.##..#.##.###.#####.###.#...#.####.#.##..##........##...######.#..#.#############..#.#..#.#....#.##.##.###.#.##.##...##.#......####.##.##.#..###########.###.#########.#..#####....###..###.##.##.........###.######..#####.....##.#######.####...####.#.###.#.###..##.#####....#.####.##
#####.##..##.##.#.#........#.##.##########.#....#.###########.##############.##..#..##.#...#.#...###.#.#.##..##..##.#....##.....###.####...###.#.##.........##..#...#.##.........#.#.#.#.##.####.#...##.....##...##...##...#.#...#....#.##.##....###......##.##.#.##.###.####.####.#.#.#######..#.#####..##.######......#.###..#..#.###..###..#...#.#...##.#.#####.##.####.#.##....##..#.#......#.#.#.##.##.#.#.#########.##.#####.#.#....###.##.#####.####.#.#########..#####.###.#.##.#........####.#...#.######.####.####.#...#######.###.#.##..##.##..##.##....######.#####.##.#.#...#.#.#.#....##.#.##.#####.#...#####...#####.#....##....##.##..####..##.#.#.#.######.#.#.##.###.##.#.#.##.#..##..#.##........##.#.#.#.##...############.....#.....#.##.######.#######.#..#..###.##.##.#.#.#...#######.#....#.##.##..######.##.#..#..###.#.#.###.#.##.#.#.###.##.#.###........#..#.##.##.######.######..###.....######..##...#
#####..##....##.#.#.#####.##..#.#...#........#.##.#.#.##........##..............######.###.#.###.#...#######..##..#.###.##..#.#..##..#.###.#...#..####.##.#..##.##.##.########.#............#.#....######.#..##.####.#####...###.####.#.##.#####.....#.##..#.#..#....##..###....##...#...##.##.##..##.##.#...#..##.######.#.##.##.....##.#.##.#.###.#.###..#.##..#.....#.#....#.########.##########...##.##.#######.#.#.#.#......#.#...#.##.#........#..##....#.##..#.##.#.#.#..##.#.##...######..##..#.###.##.##....##..###...#...........#.#######...##.##.##.#########...##.........###.#.#.#.##########..##.#.#.#####...###.##..#.#######.#######...###..#.#.....##.##..#.#.##...#############.##..######.#.#####..#........#..##..###.##..#.#...##.##.##.##.##..........#####.##..............#...#...#.#.#.##.##.##.##.##.####.#.###...#.#.#..##.#........#....#######.##.######.............#..##.#.##.....#.####.#.##.#..###
#.#.#.######.##...####....###.#####...#.#.#.##.#..#......#.##.########.##.#####.#..........#.##..#.#.#..#..##..##.#.#.#.#..#####..##.#..#..###...##.#####.##....#......##.#.#######.#.#####.....##.#########.##..##..##..###.#...#......##.#.#...###.#####.#.##.####.###...##.#####.##.####.#.....##..#..#.###.##....##.#......##.#####..#..#.#..##...##..##..##.#.#####.##.#............###..##.#..###..##...###.#.#...###.##.###...###......##.#########.##....##...##.....#.##.....###..#.####..#.##...###.....#.####...#.###.###########.##....##.##......#..###.##.#.#####.##.#.#..##..........#.#.#.####............#####..##......#.#####....#.###.#.##.##.#####..##...#....#..#.##.#.#..##.#..##.##.######..##.#.############.##.#.##.##.#.#######.#...#..#.############.####.###.############.#.###.#.###...#.##..#..#..#...#.##..#.###.##......######...####.....#..#......##.############.###.#.#..##.##.#..#.#.##.#.####
#.#.#...##....###.##...####.#..##...#.#######..##.##.#.#####..##....########..############.#.#..#######...##..##....#.#.#########..#.##.##.#.###.##.#.#...#####.##.#####.....##.#...########.#.##..#.##..#.#..#.##..####.#.#.###.####.#......#####...##..#.#.#..##.#.#.#.####..##....#..##....#.#####.##...##...#.#####...##.#.##...#.##.#.##.#.####.####.##.##....##....#####.####.#.##...#.##..##...##....###.......###...####.##.############..##..###..##.#.###.######.###.#..#####.#.##.#.#####....#..#..##.####..##.##...#..#.###...#####.####...#.###.##.##.#.#..#...##..####.#.##..#.###.####........##.####.########...###.####.....#.####.......#.##.....###..##..###.##.##......#.#.#####.##.......##.##..#........##.##....#.#.#...###..##.##....###.##.##..#.#.##...##.#####...........####...#.#...###...##.##.##.##.#######.#..##.###########.##.#....##.#####.#.#.####.......#.###...##....##.#######.##.#.##...##.#
#...#.###..#.##...####.#......##..#.####.#.#########.#.######..####.#.##.##..###.##............####.#.###.###.#####.#.#...#.#.#.##..................#.###.#...........######.##.######....########.#..##...##.#.##.###.#...#...#.##.#.##.##.##..########.#.#.#.##......#..##..######.#.##..######...#.###.##..###.##....########..###..#.#.......##..#.#.....##.##....####..##....#######.##..#.###.#####.#...#.##.##...##.##.##.#...#..##.....##..##...##..#####.....##...##..#.##.##..#..#.#.#.##..#####...#####.##.###....#.#.##.#.#.###.#...#..##.#####.....##.....##.#####.#.######..##...######.#########..########.#.###.#.#..#.####.##..#.#.#.#.###.##.#.#.#.##.##.###...#####.#.###.#..........#.#.###...#.##.#########..##.###.#...########..##.##...........##......#........#.#.##.#.##...##.###...####..#........#.........####.###.......###.#.#######.....#.######....##.##.#.....###.#..####....#.##...#...#..###..#
###...#.####..###...##.######..#.####.......###.##.#####.#.#####.........###.##.....###.#.####.#.#..#.#...#.#..#.##.#.###.....#.#####.#.#.##.#.##.#...######.#.##.#####.......#.#..#.###.##.#.#..#...#####.##...#....#.###.###.#.##.####.######..#.##........#..######...##..##..#.#.#..##.#.#.####.#..#..###..##..#.####..######...##.....#######..##.#.######..#.##....#.##..##....##.####.##..#....#.#.###....#####.##...#....#.###.##..##.##..##..####.###.#..########....##.....##.#.##.#....#.##.#.###.##.##.##.#...########..#.....#.#.###.##...##...#####..######.#.##.....##.##.##..#..##..#...#...#.##.............##.....##.########.#...#.#####.##.#####.##.#..#.##.####.######....######.#######.#.#............#.#.##....#.#.###.#.##.##.#..###############.########.######.#.##.#########..####.#.#..###.#.#.#...##.######......#####.#...#.........#.#.###......#.#.#####..##.##..##...###.##.###.#..###.###.##.#.##
#.#.###.#.#..##.###.#####...#.#############.#.#.#..##.#......#.#########.#....#####.#...#.#......##.#.###.#.##........##..###.#.#.....#############.#...###..###....#.####.##.#.##.#.#.#.#..#.##.##.###.#...###...#.##.##........##..##...###...##..#.######...##..##..#####.#..##.#...##..#.#..##..##.##..##.####.....##.##.#.#..#######.####..###.......###...##########.#..#####.###..#.#.##.##.####.#...##.#...#.####.###.####........##########.####...#....##.#.##...####..##.###.#.##...####..#.....#.#...#.#..##.####.#.###.#.#####....#..##.######.##.##.##.##.#.#.##.######....##.######.##.###.###..#.#########.####.######.....#.#..#.#######...##..#.##.##.#.##..........#.#.##.###.####....#.##.#.###########.##.#..##.###.#...#.#..#..#.#.##.######.###.......#######....######.....##..##..##..#.#.##.###.#.#.###..#.##.####.#.....###.#...#.#######.#.....###############..#.###....#.#.#.#......#.##.#...#.##....#
#....##...##.##......##.###......##..#........#.##.##.######.#.#..##.##....##....##.##.######.##..#.#.##....###.####.#######..#.####.######.#..##...##.##...######.##..#####...............##.#.........###.#######.##.#########.##.##..#.#.###..##.###.##.##.##..####..##...#.##..###.###.#.#.####....#..##....##.#####..##.#.##..##.##.....##.#...##.##.....###.#.##.###.##.#...####..##...##....##.#.#.##########..#.#.#....#.##.########.##..#.#.#....#.#.#####....##.##.##.#####......#.#.#.##.##.#######.###...##.........#.#.#.#.#.#.####.##......##....#...#..#.#....#.##.#.#.#######.#.#.....##....##.#......##.###.....#.#.#.#####.##......##.##.##..##.##.#.......##.#####...............##.#..........###.##.#####...##..#.#.#.###.#.##.##.#...............##.##...#.##..##..#...#.##.###.##..####.#.#.....##.###...##.........#.###.#...#.#.#.#.....#####.###...#...#.#.##..#.##..##.##.#.......#.####.##...###.##.####
##.######.#..######.##..#####.######.########...##.#..#.#......#.##..###########.#######.#.######...#..####..#####.#.##.##.##.#..#.####.#...#.####.##...##.##..#.#.##.##.##..####.#.######.#..###.####.####.#.#..#...#.#.##..........##.#.......##...#...........#####.####.##..##.#.#.#..........##.#...##..##.##.....##.##.#.###..#..##.####....#.##..########..#.#....#.#....#..#.##....#..#.#.##.......##...#.##.##.....##.........#.##...#.##.#.#.######...#.#.#####.##.#...#.####.####.###...........##....##.###.#########.#.......#....#.#######..##.###.###.##...##........#.....###...#.#.#.###.###..#.#######.#######.#......###...#.###.##..##....###.#....#.#.#.##....#######.##.#.#.#.#####.##.#.#.##.#..#...#.##.###.##.#.#.......#.......##.#.#.##.##.##########.##.##..##.########.#.##.###.#.#...######...#.#..#.#.#.##.##...#.#.#.###.####.##.....#######...###......######.####..##.###.####.......###.#.##.#.##
#.....##..##....##...##.#......##....#.###....#....#.##...####.#..##..##.##..#.#..###.##.#...##.###.#.##.##.##.#.....##.#.....##.#.##...###...#.#######.##.###........##..#########.#......#.##.#####..##...#.##.###...#..####.#.###.##########..###.#.#.#.#.##.##.##....##.#..##....#.##.##############.###..####.#####..##.#.#.#.##.##...#.####.########.#.#...##...##.#...#######..##.######.###..#.###.##.###.......#.#..#.#.##.##......###.##.........##.###.#..##.#......#....##...#....##.###.#.#.#.##.#####.#.#....###.#..##.###.##.####..#.##...##....#........#..##########.##.##.##.##.#####.#...##....##.#.#...###.....######.###.#..######.#..#####....############.#.......##########..##.##########....##.###..#..#.........#.#.#...##.##..#############.....##.#.##.######.....##...#.##.#.#.....#....#.###.#.##.#.#########.#####.#.##...#.###########....###.....##.#......###.######...#....#####.###...........#
###.#####.#####.###.##....####..####.#.#.#########.#.###.###.#.##.#..##..###.#.##.#...##.###..........##.......#####.#..#####.##.#.####..####.#.#.#...#.####.######.###..##.#....#####.###.......#..##.####.#.#..##..###.####..#####...##.#.#.##..##...###.###..#..##.####..##..####...#.....###.##.##....##.###.#.###...###...#.#.##..##.##..##..###.#.#......#.##.####.###.##..##..##...#.#....###.########...#.####.#####.##########.#.#.###..#.####.####......#.##....######.##..##.##.#####.#.#######.#...##.#.....####.#...##..#.###.....##...#..#.#..####.########.###...####...###...#.##.###.....#....##........###.#.###.........##.#.##.##.#...####.#.#####.##.#.##.######.#####.##.#.###.#...#.##.#.###.####..##.##.##.#.##.#.######.########.........##.###.##.#........#.....#.#..###....#.....#.####.#....####.##.#.....#.#.####..#####..#...###.###.##..#########.#######.#.##...#.##.#.####.####.#..#####.####.#.##
#....#.#......#.#.#..#.#.###.##..###...#..............####..........####.......##.###.##.....#.##.###.#..##.##.#.#...#.##......#.#.#.##.##......#.###...#.#.......#.####.##.###.##.#############.##.##....#.#.##..##...#.##.##.#.....###..#.#.##.##############.#.##..##.##.###.##...#.#.#####.#.#...###.##..#.#.#...##.##.###.#....#.##..##.###.##.#.#...#.#.####...#.####.....####..##.##...##..##.##...#.#.###...##.###.####....#.########.##......#.#..###.####..##.###.#.########......##.......#########..#...#.#........#####.#..###.#######.#.####.##........######...#......#..##.###.#....##.####.#.####.#.##.####.#####.##########.#.##.#..#.#...............#...........###.#.#.##.....###.###.#.....##.#..##..........########.#.#####################...#...###.######...##########.####.#.##.##....#.#.####..#.##########.#.###..##...##.#.###.#.#.#..#.##.#.....###.....###.####......#....#.##...##...##.....###.##
###.##.##.###.#...#.######......##.###.##########.###.#.#..########.##.#.#####.##.#...####.#########....#####....###.#.###.###.#.#.#.##..######.#.#####.#.#######.#.#.##..#.#...##..#.#..####..........##........####.##.#...#.#####.#.##.#.#.#...#..###.###.##...###.##.#...##..#####......##.#.###..##.##.##.#...#.##.....##.#.####..##..#.#.#.##.#.#.#######.##.###.##.##.##.##...###....########....###.#.....###...#..##.#.##...#.#.#.##.##.#########..#....###.##.#.#.....#.##.#.########.######.#.##..#.##.#####.#.######..#....##.#..###..#.#.#.#..##.####.#.#...###.#####.#.##..#.##....#####.#.##.######.#..####.#..##.#...##..##.#......##...###.#.#.#########.#######.###.....#.#..#####.........#.####.#.###.##.#.##.###.#........###.##.##.###..#.##..###.####...##.#######..##..##..##.....#..#.#.######....####.####.##....#.#.####.###.#..##.......##......######..#.#######.##.###############.###.###..#.#####..#
#...##.######.###...#.#.#..#.##.##.##..##.#.##....#...#.####...##....#.#####....#.###.#.#####......###.##..#####.#...#.#.###.#...#.#..##.##...............###.......#..##.#.###..##.....##..##########..##.#.#.#..###.##...#####.#.#.#.##...#.###...##...#....###.#.#.##.##.###.##..#..#.#.##..#.##..##..#..##...######.#####....##.##..##...#.#...........#.#..#.......#.#..#####.###.#.#.#######.##.####..#.#########.#.###...######.#...#.....##..#.#.#.##.####.#.#......#####.#.........#.#.###.......##.#........###...##.##.##.####.#.##.##.#.....##.##....######.##.#.#.#########.#..#.####.#......###..##..##....#...##....###..###.#.########.########...###.###.#.#.########.####.#.##.#.##.#.#.#.####.#........#########...##.####.##....#........##..#.##......##.##......#...###.##..####.####.######.#.#..##...##..#.#....##............###.###.#####....#.#.###.....##.#.#.##..##.#.##..##.#####..#.#.##..##.....####
###..#...##.....###.#.#.######......##.#..#.#..######......###..####...##..####.#.##.....##.######.#.#..##.#.###.###...#.##..###...#.##..###.#.#.########...#######.#.##....##..#######..##............#####.#.##..#..####.#.##....#....###.#...##.#####.####.###.#...##.##.##...##.##.######.##..##..##.##..##.##.##.......###.###.##.###.###...##.########.#.##.#######.##.#.#.#.......#....##.#.##....##.#.#.#...#.###.#.#.#.#.##.#.#.###.######.##...#..#.#.##...#.######..#..####.######.#.....##.#####...##############..##.##....#.#.#..#..###.####....##..#.##............#.##.###.##........##.#..###..##########.#####.#.....##.#.......##.#.##.##.######.#.#..........##....#............#.#####..##..#.###.##...#.##.##.####.#.####..####.##########.#.###.#####.....#.##...###.#..##..#.#..#.#######......#####..#.##.#.#########.#.#.#.##...........#.#.####.#.#.########....##.........##...#.#..##.#....####.#####.#
#.##...######.###.#...#....##..####.##.##.#.####.#..#####.##.#.##.###.####...........###..#..###...#.#.##.........####...#..##.###......##.#######.....####.#.#.#...#.##.######..##.#...#####.##########.#########.##.#.#..#.#####.####.#.#.#.###..#.##...........###..#.#..##.####.#...#.##..##.##..##...##..#.#..##.#######.#.##......#..#.#.#######.#..##.#..#.#.#.###.##.#.....#####.##.#..#.#.##.#####.#...#.###..##.#.#.###.##......##.#####...#.###.##.#..###.#.#.####.##.##.......##..#.########.#.#.#.....#.##.###...##..##.####.#.#.##.##...#.#..#.####....##.####.##.#.#.##.##.....#####.#####.##.#.##.#....##...##.#.#######....##.#.##.....#..#.#.####.#.#.#####.##..####...###.###.####....##.###.##...#..###.........###.....##..###......##.#.##....#......##.#.######.###....####.#...##.##.#.#..######.####.#.##.#.##.....########..#.#.##.########....#.......##..#..######.###.#####.###.##..#...#####...##....#
#.###.##.##...#...###.#.########.....#.##....##..##..##.#.##.#.#....#.#..#########.#####.##.##...#...#######.#.##.#.####.##..#.#.####.###..##.#.#####.##........###...##.##..#..##..###.#######.##.........##.##.#.##.#.##...#.#.#.###....#....###....####.#.#.##.#...##.##.##..##....#......###..##.####.#..##.#.##.....#.##.#.###.#####.##.#...#.#.#.#.##..#.##.#.#.#.#.#....#.#.....###..#.##...##.#.##....#....##.##.......#...#.######......##.##.#.#..#.#.##..........#.#...####.####..##..........#.#.#######......#.#####.#....##.#.......###.#.#.#####.##.#..#...#######.#.#.....###....#####.#####...##...######.###.#.##.###..############.###.##............###.#####..#.##.####..##......####..#...##.####...#.######.##.#.#######.....#.####.......##.#.######..######.####..##..#.#...####....#...###...#.#..#.#.#.......#.###.###.##.####.##..####.####.####.###..#.##.##...##...####......#.##.##.###.#.######.####
#.#.#.#...###.###.#.#.#..#..#####.##.#..####..##..##.............##.#...##..#....###...#.#...#.#####.##.#.#######.#......###.#.........##.##........#....######.....#.#...##.##..##......##..#..#####.####.#.............###.#.#.#.#.####...##..#..##.#..#######..###.#..#..#..####.########.#.#.##..#.##.##.##.#.###.####........#....##..#...###.#.....##.##.##.....#.#...#.####.#.######.#.####..#......#.##.##.....#.#######.###....##..######..##.....##....##.#########.#.###.#...#.##....#.#.##.#.#...##..#...######..#.##.#.####....#.#.###.........#.#..####...#......####...#.#.###.##.....#..##.#.###..###.#.#...#.....#.....###...#.##.#.........######.#.#.......#.##.#.##.##...###.##.###.###.###.#....####.#.....#####.....##.##.#######....#.######......#.##....#...##.#.######.##.##.#..####.###.#.###...####.##.#########...#...#...##.###.........#...##...####....##.###..####...##.###..#.##.#...#....#.#.#.##
#.......#.###..##.......##.##.....#..#.##..##..##..########.#######.##.####.##.#..####.#.#.#######........#..##.#.######...#.####.#.##.##....#.####.#######.###.#####...####.#..########..##.##.#.#.###.#..#####.#.####.##.#.#.#........#######.#.#####.##..#####...#.##.##.#.##......########.#.###.#.#.....#....#.#.##.###.#.##.#.#####.##.###.#.#.#.###..##..#.#####...#############...#.###.#..##.########...#####....##.#.#.....##.##.##.#..#.##..######.####.......###....#.#.##.##.##.#############.#....##.###.###..##..#.#.#.##.##############.#####...###.##.##.#.####.##.#######.#####.#.##.##......##.......#.#...##.##.#.#.....###.##.##.##.#####.##.#####.#.###....###.#...#####.########..##.##....##...####.#.###.##..######.#......##..##.###.##.##.#.###.##.####.#....#....#.#.##.##...##............###..##........##...#.#...########.#.##.#########.##..#..###.#####.#.##..#.###.#######........#...##........#
######.####.##.#..#.#.#..#.#########....##.###.###.#.#......#........#...##....##......#.#..#.##.########.#.##....###.####.#.#.##.#..######.####....####......#########..##..#.####.##...##.....#.#.##..##.#...#####.......#.#.#######.##.##.##....#.#...##..#..#.#...#...#.#.###.#####....###.#.#.....##.##...####.#..#.#####.#....#.##.......#.#.#.###.##.##.##.......#......#.##.#...######..##.#...#.#.###########.#.##......########...#.#.##..##...#.....#.##.#.####.##.#.#.#........#....##.#.##.####.####...##.#.#.####.#..........#..##...##......#..###...##########.........###.....######.....######..#########.###.....####.##..##..#.....####....##...############.##....#..##...###....##..###..#.###.###.#######...#.####....#.######..###........##.#.........#.#.######.####.#.##....#....#.#.########.#.##..#.#.#####.###.###...##.#.#...##..##.....#..##.##...#.....#.#..##........##..##.######.#.###..#.#.##.#
####.#..##.....#########.#.#.##.##.##.###..#...........##.#.##.#####...#.#..#.##..####.#...##.#...##.###....#..##...#.#......#.#####.##############.#..#####.###.....###..##.#..##...###..#####...#.###.##.##.###.#####.##.#.#..#.##.#.#..#..##.####.##.####.##...###.###.#.#.#.#.#...###.##.#...####.#######.##.##...##.#.#######.##.##.#######.#....##.##.##....##.#.##.#.##....#...###.##.#.##....#.........##....#.#####.#####..#.##..#...#.#..###.#...##.##.##.###....##.###...##.#.#...#.##..#.##..##...#.##.##.......#...#.##########.#####.#..#.####.##.#.###....#.#.#.#####.#..#..##.##...###.##....#.##.....#.##...#########.#..######.#.#####....#####.###..#.#...#.####.#.###..##.##.#.######..#..####.#..#....#.#.#.###.#..###.##.###....##...##.######.##.########....#..#..##.#.#.#..##.##.#.#.#.......#.......##.#..###........##.##..#.#######....#########.##.###.#.#.#...##..##########.#.......###...######.####
#......######.##.#......................##.#########.################.####.########.#....#....###.#..#.####.####..#.....####.#.#.#.#...##..#.#.##.#.#.##.#....#..##.##...###...#####.#.##.##..###.......##.##.#.....##..##.#...##....#.##...##.....#.##.##....#####...........#.#...####..##.###..##..##.##......##.####...#.##.##.#.......##.##.#.####.....##.##########.#..######.###.#..#.#..##.####.#.#######.##.#.##.##....##.##..#.######.#.##.#.###..####.#....##.###...##.############.#..##....##..###.##....###.#...#.......##.##....##..#.##...##.##.....#.####.......###.##.#.########......#.####.##.#####.##.###.##.#.#..##..###.#.#.#...##.####.#....##.....#....#.#.######..#.##.#...#.###...##....##...####.#.#.###...##..........#############.#.####.......##.####.##.##..#.#...###.########.#.#.###.#####..#.##.....#############...###...#.##....#.##.###......#######....##.#.....##.#.#.###..######..#####..#
######.#..##..#..######.#.###########.###......#.#.#.###...........#....####.#.#.#....#.#####.#.#.##.#.###..###############..#.#.#.#.#####...#..#...#.#..##.#.#####..###.#.##.###..#.#.#..##.##.#######.....#.###.#.#####..#.#######.#.####....#.###.##.#####..#..##.##.####.##.#.####.#.###.##..##..###..###.####...#.#.###..#......#######...#....#.##.#####.#...##.#.###.###..##.#.#...##...##..##.########.#...#####.....#####..##.....#.##....#.#..######.#...#####...##.##..##.##.#.##.####..#.##.###........##.#######.##.####.#..##.######....##.###....#.###....#.#.#####.######.##.##.#..##.#######.........................######.#.#.#...###.........####..#.####.#......#.#.##.#......#.#.#...####.####..####.#.#.#...#.#####.#.#.#######.#..#.###.......#.#.#.#....#.##.##.###.....#...#.....#.#..#.#.###..###########.##...#.#.#.##.###.##...########.##..#...#########.##...#####...#.###....#...##..##....##.##..##
#..###.#.####.##.#.#..######.....###....####.#.#...###.########.##...##..##........#.####.#........#.#.#.##.#..###.....#..##.#.....#.##.####.##.#.#...##.####.#.#.#.##.....#....##.......##..##.####.#..###...#.###.#..###...#..####.#.#.####.#####..##.....##.#.########.....#.#..#.#.#..#...##..##.....##....#.##.##.#.#.##.######...##.####.#.####.#..........#.......#####..###.#.#.#..#.#####........#..#.#.####..##.####..#..####.####..#.####.#.##.#..#.###...##..###...##..#..........#.##....###...#########...##.#######..###.###...##...#.#####.#.####.##..####.###..##..##.##.....#.#.######.##.##.####.##.##.#####.##.#####..##.#.....###.##.##.##.###.#.##..#.######.#.....####.######.#.#.#.........##....#.......#...#..##.#####.##......##.#.##.###############......##.#.#.#######.#####...##.###.....##.......##...#.#........#.#.#.#..#.#.###..#.#..##.#####.###....###.#.#.##.####.#.###############.###.#..###
#.##.......##.##.#.#.###.#.#####.#.##.#.#.####.##.###..##.##.#..#..####.##..#.#.######.#..####.#.#.#.#........##.###.#...##..#####....#.#.#..#..#####.#...##.........#.###.##.#########.####...........######.#.##....##...#...##..........#....#.##.##.###.#.....#.#..#####.##...##.#.##.###..##.##.#########.#..#.........#.##.....###..#.#.......#...###.##.#########.....##..#..#...#.##.#.##..######.#.##.#......##...#...##.###........##..###........##.##..#####.##..####.##.####.#####.#..######.#.......#.#.###....##.###..##.##..####.#####.##.......#.###.#.....###..#.###....#####.....##.#..#.#...###..#.##.....########.#.###.#.#.#.##......###..##.....####......###.#.#...#.......###...##.#.#.##########.####.######.##...#.#.....#.#.##.....#.###.#.#.#.#.##..######......#.##.##.....#.###....##.##....#.#######.##.##.#.#####.......##.#...#.##.#.##....#.#.#...####.......##..##..#.........##.##.#.#.#.#.##.#
#.#####.##.#.......#.##....#.##.....###...#.#..#..##..###....#######.....########.#.##...##....#.#.#.########.##.#.#####.###..#.####.##.#.##.#.####.....###..######.#####...#.#.#.#.##..#.##.#.######.##.........####.#######.#########.##.#.####.##.####.#.#.###.#.##........###.##.#.##..##.###.##....#.#....#.##.#.#######..#####..###.#.#.##.####.###.########...###########.#.##.###.##.#....##.##.###.#....##.#####.##.####...###.####....##.##.########.###....##.##.##.....#...########...##.##.#.###.#.###.###.#.##.##.#.##.....##.#.#..##..#.##.#########.#...#####.##.....#.####.##..###......##.#.###.######..##########...#.#.....###....##.#.######..#.#..#.#.##########.###...#.#.#####.#.##.###...##.##.#...###.#.........#.....##.##.#....##.##..............#.##......##.#.......##.#.#######.#.##.##.#.##...##.#######..#...#.#.##########.###.##.#.###.###...##.##..###.######.####...###.#.###.......#........#
#..#.#...####.####...#####....#.###...###.#.##...####...###.##.#.#####.#..##.#.#.......######.##.#...##.............##.....##........##.#.#.....#.#####.##..##.......##.###.#.#...#.##.##..###.###.######.####.#.......###.....#.##.##..#.....#.#.#...##....#.#......#######.##...##...##.##..#...#..#.##...##....#.###.###...##...##..#..#.#.####.........##.##.###.#.##....##.........###..##.###......#....#.#####.##......##..###.#.#####.####.##.##.##..#...##.####..#.##.#####.###.##...##.##........########..##.#..###....##.###.##.#.#.##..##.#.....###.##.#.#####.#.#..#.###.##.#.#..######.#.###...........#######...##.###...#.#######.##.######.#.#..#####............###..##########.#.#.##########....#..#.###.###.##.##.######.#####..#.#########.##.########.#..##.#########.#.#########.#..######..##.######....#.#.##..##.#.......#..#.###..#..####..#...###.##.....##...#.#.#...##..#...########.#.##...#.###.##
##...###....####...###.######.###.##.##.....####..#.#.#.##...........####....#.#######.##...######.#..####.########.######..########.##...#.##.##.##.....#####.####.###.#.#.#...###.#..##.######...#.#..###.##########...#####.#.#...#######.##.#.###.##.##.#####.##.#.#####.####....###...##.###.##.#####.#####.##.##..#.#.######.###.#.##.#.#.#..#.#.######.#........##.#######.##.##..##.##....####.###.#######.##..#.########..........##.##.#.#......##.##.##..##.#.##....###.#......##.##..##.##.#.###.#....##.##.#.###..####....###.......##..#...##.##.#.##.#.###.#.#.#.#####..#......###..##.###.#.###########.##....####..#..#.#.#.....###....#..#...#.########.##.#.##.##.##...#.#.#.#...........#..#######.##......##.########.#.###...##.#......##....###.##.#.######..####.##.######.#.#..#.##...#.#####.......##.###.#.###..###########.##.#.#.##.##.##.##.###.#..#.#######.##.#.#.#....##.#...###..#.####.#.#.###..#
####.####.####.###..##.#..##..###....######...#..##.###.###.########..#.##.#.......#....##.###...###.##.#####..#..#.#.##.#.##.#.##...###.#####..#..###.#..##.####...#.#.#.....###.#.#.##..##.##..#.....##.....#..##.##.###..#..#.##.##.#......#.#.#.#..####..#.#..#...........######.#.#.###..###.#...#.####.##...#..##.#.#.###..#..##.#.##.......##.#..........#.##.###...#.##.#.########..###.###.#...##.#.#.#.#..##...#......##.#########..#..#.#.######..##.##.###...##.####.#.#.######.....##..########...#####.#..#.#.##....#.#####..#####..##.#.#######.#.##.#.....#.#.........##.####.#.#.###.##.........##........####..##...####.#.###...##.###.##.###.#.#.#.#######..#.##..##.##.......##.#.######.##.#..##.#..##.#......##...........#..##########..#.###.....#.##.#.##.#................#.##.##.###..#..##.##.####........######.#.##..#.......#.....#..#.#........##.##.##.#........##########.##.##....#.#######...##
#......##..##......##..##.#..##.##.#.....####...###.##..#.###.#...###...######.#.#...##......##.###...#..##.##.##...#.#.......#....#.#.#..##.##.#.##.####.#..##...#...#.###.###.#......##.##.#..######..#####.#.##.....#.##.##......#..######.#.#.#.##..#.##.#.###########.##.#.#..........#.##.#...###.#.#...###...##....#...##.#.##..#.#..#.##.###.#.#.##.##.#########.###.#......##.##..##.#.##....###..........###.###.#######.......######.##.#...#....###.##.#.#.####...#.............#.#....##.#.#....#...#.#.##........##...###...####.####........##....#..#.#####.#.#########....##.......#....##########.#####.#####.###.###.##...#######.........................#######.###.##.#######..#.#.#.##.#....##....#####.#######.##############..#.###.####.#.#.#####...........###.##.#.#####.......#.#.##.#.###.##....##.##.##..##..#......##.#######.#####.##.#.###.####..#..##...######....###.#.####.#..##....#....##.###
##.###..#.##..####.###.#..##.#...#######.#.####.##...##....#..###.#.###.#.#....#####.###.#.#........#...##......###.....#####.######...##.##.#..#.....##..##.########....#....#.###.####.....####.#.#..##........#####...##.#..##.#.##..###.#...#.#..##...##....##.#.#..####..#.####.#######..#.###..##.#.#.#######.###.###.###..#..##.....#######.########..#.#.##.##...###.####.###...##..#.#..##.###.##.#.#######....#.....###..#####....##..##.#.###.####.#.#...........#.#.##.#####.#.#####.#........#.##.#.#.#..####.########.#.#.#..#.#..##..##.#.#..##.###.##.#.##.........#....#.##..###.#.#.##.....#.##.......####..#...#........#.......##.##.#.####.#.#.###############..#.###........##.#...#.#....##....####..########.#.#.##.........##.#...#.#.#......##.##.##.######...######.....#########...#......####.#.##..##..##..##...######........#...##........####.###.#.##..########.#.##.#.#..#.#...####.###.##.##...#
#######....#####...#.#.##.#....####.#..............#..####.##.##..#.#...#.##.#.#######.#####.##.#######.#..###.##.####.##.......###..#.....#.##.#####.###.....##....####...####..#..#..###.###.#....##..#######.##.....#..#...#####.##.##.#.###.#.#.##..###..####....##.#..##...##....#....##.#.##..##..#.#.##.......##.....#.##.#.####.####.##.....#.#.#.####.#.......###....##..#.#.###..##.#.##....#.#..#.....######...#####.##.#.########..###............#...##.#.#.#.##....#.....###....##.#.##.#######..###.#.##.......##..###.###.##.#.##..########.#...##..#.#..##.#.#.##...###################.###....###.###..#.##.#.###.####.###.#.###..#..#.#....#.#.#####.#.#.##..#.##....#..#.#.#####.#.#.....#.####.###.##.##.#.............###.#####....#.#.#.#.######.....####....######..###.#####.###.#..###.#######.#########..####..###.#....##.#######.###..###.##.#.#...##.#..#.##.#....#.####...#.##.#.###.####...######.##
#....#####..##...#...#.##.####.###..##.#.#.##.#######..##..#..###...###.#.######.#.###..#.#..##.#.......##.#.#.#....########.##...##.####.##.##..#.#..#.#####.#####.##.###.##.##.##...##.#.##..###.####.........##.######.##.##.#...#.......#.#.#.#.#..#####..######..#.#.##..#.####.##.#.###.#..##..##.#.#.#######.###.#####.##.#.##........##.#####.#......###.###.###.##.#####.....#.##......##.####.#.########.#..#.####.#..##......#.##..##.#.#.#.######...########.#.##.#############.######..#....#.###.##..#..##.#######.####..#..........###...#.###.###..##...###.########...#.#.#..#.###..#.##########.#.######.##.#..#.....#################.############........#.##..#.####.####.....#.#.#.##.#####........#.##.#.#####.##.##...#..#####.#####.#........#.###......#####.#.##..####.#.#.......##.#..#..........#.####....##.......##.........##.#.##..#######.#.####.#.##......#######.#.###...........####.##.#.#####
####.#.....#########...#..##.#.#.##.#############...##..##.##...##.###......#.##...#.##.....########.##.####.#.####...#.#.#######....#........##.#.##.#.##..........#.........#..##.###..#.###.##..#.########.#..###..#.#.#####.###.###.#.#.........##.#...##.#.#..##.#....##.#...##..#.####..#.##..###........##.#.#.#.....#.##....###.######..........##.#####..####...##.#.#.#.#####....######..##.#...#.##...#.##.#..#.#...##..######..##......###.#.#.####....#######..#.............#.#.#.######.#.....#..##.#.##..##.#....##.##...#.####.#...#.###..#..##..###.###.#...###.######.....##.#.##.#...#.##.#.......##.#..#.#.##.######...........####.........##.#.#.#.####..#.##.#.......##.######.#..#.....###.####............###...########..##.#.##..#.######.#..###.##.##........#.##.#......##.##......##.#######.##.#.####.##..#.#.##############..#.##.##.##.##.............######...#.#.....#.#######.#...#.......#.#.#
#....#####.#.#....####.##......#.#...##.###.#.....#####.#..###.##......##.#....###.#..##.##.#...##.####.#.#.........#.....#.#.....#.###.##.##.##.#.#..#..####.#####...#.#.###...##...###.#.#.#.#..##.#.##.#.####..#..##.#..##.#.#.....#######.#.###.##...###....#.##....##..####.###.##..#.##....#.##...#.######........#####.#####..#..###.##.###############.#.##.##.###.........##...#####...##......#......###.##.#.##...#####.##.#.##..#.##########....########.#.###.##.#.#.###########....##.####.#########.#.###.##...####..##.#.############...#.##.###.##.........###.#.#.##.#.#####.........###.##...#.###.##.##........###..#.###########..#.#.###.####.#.######.##........###.###.....############.##.....#.#.#.###########.###....#..##..#..##....#.#####.##.##########.#####.#....##.#######.##.###..#.#.#.###......##.#..####.##..#........##.#..#....##....######.#.##........###.#.###........####.###.#####.....#
####..##.....####.#.##.#######.#.###.##..#..#####.#.#.#.##.#.#.###.#.###..#.##.......##..####.###...........##.#.##.##.##...#####.###...##.##.##.#.##.#.##.#####..##.######...#.###.##...#.#.#.##.........#....##...##....##......#.#..#.##...#.#......###.####....####..####....#.#.##.##..###.##.###.####..#.#####.##....##..#..##...##.#.##..##.##...#.##.#.#.##.#......#.#########.##.#.#.###..##.#####.##.....##.#.#..#.#.##..#..#..##.......##.##..####..#.#.#.....##########.#...##.##.####.....#....#.#.#..#..##....###....#####..#....#.###..###...........#.####.##...#.#.##.....#...##.###.##.#..#.###...####.#..####.#...##...........##..##.#..#####.#.#.##.#....#.######...#...##.####.#####.#######.##.##.#.#.....##.#.##.#.#.####.####.#.###.####....##.....##.#.#.#...###....#####.###.#.###....##........##.##########..##...#.##.#########.#.##.#####.####.####.#.##.#.#.##...#...##..####.###.######...#########
#.###.######..##....##.#.####....#...###.##....#........##.#.....#############.#####..####.#...#..####.##.#.#..###...#..###..#.....######..#................##.##.....##.#..#.#..##.####.#...#.#..#######.#.#######.#####.###########.##..###.#######.##.#..#.###.##....###.####......#.##.##...##..##..##..##..#.#...##.####.##.#####.##.#..##.#...#.#....#.#.#.##.#.#########.....##.##.#.#.##..######..########.#......####.##.##.##.##..##.####...##..####.#.....######.##.#.##...###...#..#.#.########.#.#.##.##..#.######.####..##.##.####.#...####.######.##.#....#..###......#.#####.####..#####.#.##.#######..#.#.##.######..#.#########....######.#.#.#.#........##........#.#.#.#.#####.#.#.#.........###...############....#.#.........##..#.......#..####..###......#.##.##.#.####.#.###.#.#.####.#....#.####.........#.#.####..#...........##.#.......#.#..........###..#.#.######...#..##...##...#.#......#....##...#
#..##.#.##.##.#####.##.#......##.##.##.#.#####.#.######....#####..#.#...##.#.###.#.#.##.#..###.#.###.########.#####.########...##.##.##########.#.##.####.####.########..#.##.##.....##....###.####.#.#.#.#.#.##.##.#.##....##.#.#.#...##..#####.......#.##...#.#.####.##.#....#####.##.#...###.##.##..##..##..##.##.#######..##.##..#....#.###...#...####.#.#....#.#....##.#.###.#.#..##...#..##.##.##..####.#.#####.##.##.#......#....##.######.#.###..##.##.#.#######....##.#..#.#...#.###.##.#..#...#####.#.#..##.##...##......##.##......#....#...........#..#.##.####..###.#.#............##..###..#.#....###.##...........####....#####.###.#...##.###.#.#.#.####.######.##.###########.#.#.#.#.#.#############...##.##.#....######.###########.#.#####...###.#.#####.#.#.......#.#..#.#....#.........#####.############.#.##.#....##.##.#.#.####.#....#######.#.#.######..##.##.#...#.###.###.##.########.#.######.##.#..###
##....#.#..#....#......##.#####..........#.....####.#.####.#.####.#.##.##....##.......#.##.#.#.####.....########.####..##.#..#.#..#......#......#.#####.....#..#.##.#.#.#########.##..####.###.###......#.#.#.#........###.###.....#.#..#.##.#...####.##.####.#.#...##.##.####.#####.##...###...#...##..##.#..##..##.##.##.##.#...##...####.....#.###...####...#.##.#.#####.#..##.####.###.##.##........##......#.#.#..###....#.#.##.#####..#.#.#.......##..##...#.###.##.###..#.##.###.#..#.......##.###..##.#.#.###.#..#..####.###...#.######.#####.#.#.#######.####....##.....#.#.################.##.....####....##.######.###..#.##.........#.#.#.#...#........########.#..##...##.#.#.##.#.#.#.#.#........##.##..#.......#.######.##.######.#.#.......##.#.#.#.......#######.###.....##.#.##...####.##.....#............######...#.##########..#.#####.##...##....#......##..#..#.#.#....##..##..#..##.#........#.#######.##.#
#####.#.##...##...##.#..####.###########...#.#..#...................##....##....##.##..........##.#####.#.#.##...#.##.##....#####.######.####.#.###.#.#####.##.............#....#####..#.#.#.#.#.######.#...#.########.#.#.#.#####.####....#.##.##........##....##.##...#.###..#.....##.###.###.#.###..##..#.####.....#..#.##.##.####.##.##.#.###...#####.#..######.#....#..#.###..#.#.#.#..#.##.###.####..#.####.#...###..#.##.####.......##.....#.#####..#####.......##...#.##.#...####.##.#####......#.##..#...##....##.##.##.#.##.##.#.##.#..#.######....###...##..##..#.#.#.#.#.........#.....##....#.#......####.......###.#.######.####.#.#.#####.###.###.#.##......#.#########.........#.....#...####.#.....#.##.##.####......................########.#.....########.#..#..##.#.#.......########..#.#.#############.###.#...#####.#####.#####..#.##..##.###.####.##.##########.#.#.#####.##..###.#..#.##.###...#.#.###....#
#..........#.#..#.##.##..#.#.#...##.#.#########...#.#####.#.#.#####.#########.######..#.##.#.#..............###.##....#..#.##.#.#.#.........######...........####.#.#.#.####.######.##.#...#.#.....#....###...##.#.##..#.#.#.#.###.##.####....#####.#.#########.....##.##.#.##.#####..#...#.#.#.#.#.##.##.##..######.##.##.#..##..##........#...#.#.........##..##....####.##.#.##.#.#...#.##.##...#.#..##.###..#.#.###.##.########..#######..###.###.....##.##..##.#.###.#......#.###.##.#......#.#.#.##..##.#.#######.##.#...#................##...#..######.###..##..#.####.#.###.#.###.#...#####..##.#.##.#####..##.####..##...#.#..####.########.##.##....###....####.............##.######.#####.#....#.##.############....#.##.#.#.#.###.#.#.#......##..#.#.#...####.....#####..#.#.#.###........#.####.#..#####.#######..#.####.##.#.##...##...##.##.###.#.#....####...#.#.######.#.....############....#..######.#.#.##.###
##.##.##.#.###.##.######.....###.##...#.........#######.###.#.#......#.#.#.#..##..#..##.####.#.##.##.###.##......####.####.#..#.###########.##.#.###########.#.####.#.#..##..##.#........###.#.#.#.#.##...##.##.....##.#.#.#.#..........###.###..####...#######.#####.....#.#....####...###.....#.#.##.##..##..#.#.......#.##.###..###.##################.#..##..##.###.##.##...##.#.###.#.##.#..#####.###..#..##....##..#..#..##.##.....#.##...#...##.####..##.########..#.##.###..##.##.#.##########....##.......###...#####.#.####.#.#.#####....#...####......##########..#########..#####.##.....#######..##.###.##...######.###.#.##.....#.##..#.##..#.#.#####.#...####.####.#.##..#.###.#........#.#.########.##.###.##.##.##############.#.#.#.#.#.####.###.#.###....###.....##.#.###..####.#.######.#####..........##.#.##..#....#.#..#.#.###.###.##.........##....#####........###.#.#....###.#.#.#.#####...##.#.#.#.#....#
#..#..##.###...####.#....#.#........#...#.#.#.#.#.......############.........####...##..#....#.#..#..#...#######.#.#.......##...###......##.#.............##....###.####..##.#..#####.#.###..#####.###..#.....####.##..#.#.#.#####.####.......##.#.#..###.##.....#.###.####.###.##.####...#####.#...#...##..#.##.##.######.##...#.##.#.##..#.###.#.#...########.##.......#.#..###..#.#.#.#......####...#.##.#.###.##....##.##.###..##.####....########..##..###.##.#.#...##########..#..#.#....#.##.#######..#.#.###...#..#.#.....###.###...###.##.#.#......##.#..#.#.##.##.###.##...##.....#..#.###......###.....##.#..###.##..........###.#....##.#.##.##.####.########.##....#.####.##.......#.#.#.######.##.##...#...#.#...#....##.#.#.#..#.#.#.#.#.#.#.#....###.....##.##########.#..###....#.#.........##...####.#####..#....##.####.#.##.###.#........######.####.#.......#.########.########.#...........#.#............##.#
##.##.######.#..###.###.##.#####.##.##.##.#.#.#.#.#.###.#..#.#..####.#######..#.#.#..#.##########.######.#.........#######.####.#.##.#.#......##.##.##.##..###.##.#.##.##....##...#####.#.##..#.#...##.####.#..##...##.#.....##..######.###.###....#.##.#..#####.#..##.##....##.#.....#.###.#.....###.#####....#.##..#...#.#..###.##......##.........#...#.##.#..##.####.#.##...##.#.....###.####..###...#..#.#.#.#####..#......##.#.......#.##..#.##..##..##.#.##.#.#.###.##.##.#..##.##...####..#...##.##.######.###.##.#.#.#####.#.##..#...#..#.####.#.#..######...........#....###..#.#.##.....####.#..###.#####.##.#.#..#.##########.#.#######..........#.#.#.....##..##.#.#....#.##.#.#.#.#.###.#.#.##.##.###.##.#.....###.##..........##############.##.#.##..#.#.####..##....#.##..###.#.#.#.######.###.########.....##.##.#...##..#.##..##.#.#.#.##.....####.########.###.##..##.####.........####.#.####.###.#.###.#.##..#
#..####......#.##....########....#..##.#..#.#.########....##.##......#.......##...#.#####.#####.###.##...###.####.##.....###......##.#.#.##.#.#####.#..###.##.....###...####..###.#.##....##.##...#######.####..#.#..#.#####.###.###..#####.#.####...##...##...#...##...####..#.#.###.#.##..####.##.#..#.#..#.##.##.##.###.#.##.#....#.#####.######.##.###..#.#.###....#.#.##.###....##.####...##.##...###.##.#.......#.##.######..#.####.####..##.##.####..................#..#.#.###....####.#.##.####.##.#.##...##...###.........#..#.###.###.#..########..#.##..#.##.#.##...#.##.####.#..#.#.####.######.#.....#.##.....##.#.#.##..##.#...#.#...###.##.#.......######.#################.########...................##.##.###########.##.##.#...#........##.#.##.##.###.##.##..#.##.#..##.###.######.###...#.......#..###.....###.#####......###.#.###..#.##.##.#....#....###.###..##...#.###.#####....#.#....#...#.#...#####..##
####.####.#.######.#.....#....##.#.###.#.#######.#.#.####.#..#######.##.####..#######.##.....#...#..#######..#..#.#####.#########.#############.#.####.#....####.###..#.##.#.##...#.###.###...###...#.#...##...#####.......#.....#.##.##.........###..###..###.#.#..##.##..##.#.#####.#..##.###...#.##.#.##.####.#......##........##.#..##.#.#.#..######.#.##...##..######.##...##.######..##.###.#..####.....#.#.#######....#.##.##.######.###..#.##..#.#.####.#.###.#.###.#.##.#.##..#####..........#...#.#..###.#..####..#.#.#.#.#.##...#...#.##..#.#.#.##......##..######.#.#.......#.##.#.#.........#.#.#.##.##..#.######...#..##.##.#.###...###.########.###..........####.##.#.##.##.....##.########.#######.##.##.##.....#.#####..#......#.#.#.#.#######..#.##.....##.#..#####.##.#....####.##....#.#...#.#####.##.########..#..##.####........#######...#...####.#####...##.##..#....##.....#.##.#.#.#.########.#.....#####
#.........#.##.....##.##...#####.#.#.########.............##....#.#..##..##..##..........###...#.##..##...#####....#.#......####...##.#.#.##.#.....#.######.......#..##.#.......#...........#.#.#.###.##.#####.#.#.#.#.###.#####.#.#..########.###.#.##.##.....####.##..#.##..#.##..#.##.##.#.###...##.#.#...#.#...########.#.#########..........####.##.#..#.#####.#.#.##....####...#.#..##..#.#...###.##.####.#.#..#.#..####.##.##....###...##...#..##...##.#############.#..#.#....###....##.##.####.#.#.#.##.#.#.###...##.#######..#.#####.#####.......#######..#.###.#.#######.##.##.##.###.#.#.#.#.#...#.####..##........#...##...........###....##.#..#..##.#.########.#...........##.####.....#.#####.#.######.##.##.#####.....#.##.#.##.#...#.####...##.######.##......####.######.##..#.#.#..#.######.#....##.##.##.####..##.###....#.###.##...#########.#####........#..#..#.###.#.##.###.######.#####.###.####.###..##.#
#####.#####..###########.#..##.#.#.#.##.#.#.###########.#....##.#.#.##..##..##############.###.#..#.##..#....##.##.....####....#.#........#....#.#...##.....#.#.#...##....##############.#.##......##.#..##....#.#.#.####...##.......##...#....#.#.#.##..#####.##....#.##.###....##...##..#.#...##.##..#.##.##.#.#.#.#.######.....#.####.#.#.###.#.....#.#.##..##.....#.#..#####.#.###.##..##.#.#.###...........###.##.#.##.......##.####.##.####.##.###.###...#....####..###.##...####...####...#####..###.#.##.#.#.#.#.####..#.#..##.####.##.###.##.#.##.......#.##........#.#.##..#####################.#####.###.#..#.######.#....##.#.#.#######.###....###..###..#####.#.#.##.####.#######.##.####....#.........#.#########...########.#.##.##.#####.#.###.......#.###.#.###.#...#####.###.......####.#.#######.............#.##...#..#.#############.#.#.#.#.......#.#######...##.#.######...#.....##..............#.#.####..#
##.##.#.....##.####.#....####....#.#.........##.#.##....#.##.#......#########.##.###.##.#....#.##....####.####..#..##.##..#.##...#.#.#.##.####.#.###.#..#####.###.#####.###......####.############..#.##..#.##.......#....##########.####.##.#.....#.##.##......####.#.##.#.####..##.##..##.##.##...##.#.......#.###.#..##.#..#####..#.#######.###.#####....#.#####.#.#.##...##..#...#..#.##..........##.#.########.##.#.###.######............##.##.#.#.#.##.##.####.#..###.....#...##.#######.####.##..#.....#.#..........##.#.#.#######..####.#..#.#..##.#.#.########.###......#########.#....##.#.#.#...#.##.#.....#####.#####.#.#######...........#.##############...#.#....#...#####.##.#.##.##.#.####.##.#.######.#.###...######.#.###.##..#.....#.#...###.#.###.#...#.###.#.#..##.....##.#.#####........######.#.#.#####.#..#.###.######......##.#.#.#.....#.#.#.#..#...##.#.......#.#.#.###########.##.#.#####.##....##..##
#.....#####.#.......####.#....##.#.###.###.#.........##.####.#.#.#.##.###..#..##.#.#......##.#######.##....#.#.###.#####.######.########.......####....###....#...##.#..##..#.##.......##.#..#.####....#.#########.####.#..##..#......##...#######.#.....######........##....##..##...##.##.##.##.####.#.####.##..##.#.##..##.#.#.##.#..##..##..##...#.####.....##..###.##.#####...###.##.#..#.#.#.#.#####...###..#.#.....#..#######.##.##.######.#...............###.#.##.##.##.#.#.....##..##.##....##.#.#.###.#.#############....#.##.##..##....#####..###.###....###.############..##.....#####.....#.###..#.###.#####......######..#.##.####.##.#...###.#...#.##.#.###...########.#.#.#............##....#.###.#.#........#...........##..##########...#..############.#...#.#.####..#.#..###.....##.#######....#.###.#...###.##.##...####..#.####..#.#.#.##.#########...######.#####..........###.#.#####.#.....####.##....###
#.#.###.....#.#####......####.#..#.##########.######.#..#....###.###..#.##.##.##.#.#####.##...##.....###.#...###.###......##....##....####.#######..##.#...####.#.#....########..#####..#.##.#.#..#.##....##..#.######..##..##.######..###.###...#.#.######.#.########..####.###..##.##..##.#..##.##......#.#####.........##....#......####..##..##.##.#.##.#######..##.##.###.#.###........######.#....##.###.##.....#####.##........#.#####...#...#.#.#.##.#.#.##.#.#........#.#.#.#.####.########.##....#.###...#####.#.##.##.####..#.##.##..#.##.####...####..####.###.#######....###.#####..#..#####...##...#.#.#..#..#.####.#.##.##.##....#..#.#.###...#.###..#.......#.....#.##.#.#.#.##.#########..####..##.....###.#.##.#.##.#.##..########.#....###.##.####.#######.#......#.#.###########.#......###...####.#####.####..##.##.###.#..####..##........###.#.#...#.#...#.##....###.#.#####...........#.#.#.#....#####.###.#
#.#.##..#######.....#.#.##....#.####......#.####.###.##.#######...###...............##.######....###...#####.##..##..####.###.#######..##..#.......##..#.###.#########.#.#.##...##...##........##.#######.###.#.#.#..######..#.....##.##.....###......##..#.#.###.#..##....#.#...##...##..#.#.###..###.####.##..#.#####.#..###.##.###.##.#..###.###.#..#.......#..##..#.#....#.#.#.##.#######.##...#########.#..#.###..........##########.#.###...###.#.######.#.##.....###.#.####.#.#..##.....#.##...##.#####...###........#.##.##.##.#.#.....##.....#.###......##.#....#.#.......####.......##.#.###.##.###..#.#.....##.######...........#.#.###.###.....###.####...##.#.####.#...##.......##..###...###....####..#.#.###.#..#.#..###..##..##...#....#.###......#...#.#..##.#.#.####...#.#.###..#####.#.###.#.###..#.#.##..##.#.###........##.#.#..##..#.#.#.###......#.#######.###.#...###.###.########.######.#.##.###..##.....#
#.##########.######.#.#.##.##.#.#.###.###.#.##.#.#.######.....##.##...#.####.#.##.#..#.##...###.######.##.#.....##..###....######.....########.##.##########.#.#.#.#####...########.##########.#..##.#......#.#.#...##.##.##.####.##...#.#.#...###.######.#.#.#...##.#####.#.###..#.#.###.......##.##...##...#.##.#.#.######...#...####....###......#.##.#######.###.##...####.#.#.##.#....#...###..##.#..##.#.##...#.#.######.##.##.#.##.#..###.#########...#.#....#.###.#####.#########..###.#..##.##.....####.....######.........##.....#.#.########.####.##.###.#.####.#.#######.##.########...#.#.#..#.##.#####.####....#.#.###.#######.#...#####.###..........#..###########.###.##.######...#.###...######..######.########.##...######..###.####...#.######.###.#.#####.#......#...#.....##.#######...#.#.#.####.##.##........########....#.##..##.###..#..#.#.#####.##.#..####.###.........######.....#########.##.######.#
#.###.###...........###.#########..#####...........##.#...#.#.#...#######....#######....##.######...........#.#..####.####..##..##.##..####.#######..##...............####.#.#.......#.###.###.##....######.#.#...#..#.......###...##.####.#.#.....#..#.#...#.###..#.#.##....#.##.#.###.####.####...###..#.###.##......#.#.###.#.#..##..####.#.###.##.##.#.#...#.#...###.####......#....##...#...##......##.......#######....###..........#.##.......#.....######.######......#..##.#.#.##..#####.##..#.###..##..###..##########.#.###.##.######.#.#.##...#######.#.#...##.....##.#..........##..###.#...##..#..##.#......#.##.#..######.###.###..##.######.#####.#.##.##.#.#.##.#.##...###....#.###.....####.#...###..#..##.##.#########..#...###.....#######..#.#..##.#..#.##.#.##.#####...#.#.....#.#.####...#....##..#...##.##.####.#.#.###.###....##....##...#######..#.##...##..#...####.######....#.#####..###.##..#.#....#.#
#.#.......#.#.#####.#####.#....###.#.##..#.###.###.#..#######...#.#...#####.###.##.#.#.##...#..###########.#####..##..#.###.#..#######..#.....#.####..#####.#.#.###.#........######.##.......#..###.##......#.###.##.#######.#...#..#.#..#######.#...##.###.....##.#.#..####.#.#..#..#..##.#..#.##.##...##.###..##.#####.#.#.#...##.##.####.....#####.##.#...###.##.##.#.##...####...##..#.#########.#.#.##.#####...######.####..##.#.#.#......#.###...###...##........##.#####.##....#.#..##.##...##.....##..##...##..........#.#.#.#..###.#.##...#....###.#.##......####.#####....###########.##.#.#.####.##.##....#.####..#.#.##.##.....######.........#.....#.#.##...........#####.###..#.####...###.#......#...##.#.##.....#.......##...###.##.######..#..##.#.###.#.##.####.##.##.#..#####.###......###.###.####..##.###...#..###.#...........##..##.########.#.#.##......###..##.###......##.#.########...##......##.#.######
#.##.#.##.#.###.......##....##..........##.##..##..##.#.###...#.####.##.#.#.#...##.###.####.##..#.#.....######.##..##.........##.....##.#####......##.##.#..######..#.####.###.#.#...#######.##.##..#######.#...####.##......######.....#####.######.#....#####........##....#.##.#.##.###...##..#..###......##.##..#.##.#.#.#.#######.#..##.####.##..##...###.#.#..........##########..##....##.#.#.#####..##..#.###.#.#.......###########.#.##.#####..##.#########.####.......##.##.#...###..##.##..###..##.#..#.###.##.#.#.####.....####.#..#.###.####.#...##.#.##.#.#........##.##..###.#.#..#.#.....#......###.##....##.....#.....###..##..##.#####.##########.###.#.#########..#.....####.####.#####.#.#########......#.###.###.#.#..#.............#.##.##..........#...###.##....##....##...##.#####.#.#....#.##.##..###.#####.#.#.#########.#####..##....#......#..###.##.##.#########.#..#..........#.####.####.......##.##
#.##.####.###...####.##..##..##.#.#####.#..##.####.#....#.#########...#...#####..#.##..#.#..###.#.####.##.#.#...##.#..#.#.#.#..####.##..##..##.#.#.........###.#.##.#.#........#.##.##.##.#...#.###..##.......####.#..##.###..####..###..#.#..#.#.##.#.####...#####.#.######....#...##.##..#####...##.#.#######.##.##..#.#.#.#..##.#.#...##..#..#..#.##..###...#.#.###.#.#####......########.##..#.####.#..##..####.#.....#.###.......##.#######.....#####..#.###..####...########.#####.##.##.##.###.#######...####....#.#.###..##.##..#.....##.##.....#...#....###......#####.#####..##.#.#.##.#.#.#####.######.#..##.#####.#.##.##########..######.########.#.####.###....##.#.##...########..##....##..#.###.#.##..####.#.......#####.#######.#.######.......##.##.##...#...####.#.######..###..#....##.#...##.#.....#.##...#.##.........##..##.....##....##...####...###.........##..##...##...##########.##...##.##.#.##.....#
#.#..#....#####.##....##.###.######.###.##.#..##...###.##.#.##......#.###.###.##....##.#.##.......#.#.....#.###......##.######..##...##..##..##########.#.##...#..########.###..........#.###.....##..#######.#.#..#.########.#..####...##.##.#.........#.#.###.#.###..##..##.#...###..###.#.##..###......#.##...#.##.##.......##......#####.#.##.##..##.#.#.###.#...#.#..###..######.###..#.###.#.###..##.##.##.#....##.########.#####..#.#.#.#.#.#####.##.#...##..#.##.###...#.#.#.#.#.#..................#.#...###.#####.....###..##...#####...##.####.####.#...#.##.#.#...#.#.####.#..#.#.##.#.#........###.#...#####.########..##....#.#.##.##.#.....#..#.....##...#.#####...##.#...##.#.#.#####.##..##.......###....########.###.#..#.#####.#....#.#.#.#.#.####...##.####..#.###..#.####...##########.#.######.#####..###......######.####..#.############.#....##.##.##.#.#.#.##..###.#..###...###.#.#...##.##...#####..#.###
#.######.##..##.##.#.#####....##.#......##.####..#...........####.###..........###.##.......#####...#####.#..#######.#####.####..###.###.###.###..#.##########.##..#.##########.#.#.###...#####.####.##.##.#....##.#.##.##....##.####.#....#....#.#####......##....###..##.######..#..##.#....##...###.##...##.###.......#####.##.##.###.##........##.##......#....#.#.#.##.##..##......#.##..##.#.#.#.##..##..#.#.#######.##.#######.##.......###.#.#....###.####.##......##.##.#.#.......#.#.##.#.##.#.######.#...####.####.###.#######.......#.##.........##########.#...###...#.##.#.##.#.#..#...########.#.#.#..#.#...#.#.#.##..#.####...#...#.#.#####.##.#####..#.#..##...####.##.##.......##......#####.#.###.#.##......#####.#.#.##.....#.##.#...#.###.#...#############.....####.#.####.......##........##....#...##...##.#......####...######.###.##.#########....##.###.#.##.##.###.##...#.........####.###.#############
#####.#####.##...#.#..#.####.##....####..###....###.##.####.##.####...###.##.#.###.########.#...###.###...#.##.#...###......#.##.#.#.#.#..##.#.##.#...####.#...###....#.........#.#.####.##.............#..####.##.#.##..####.##....######.##.#.#####...####.#####.#.##.#....##.##.##....##.####.###.#..#.###...#..#####.....#.##.#####.....#.#######.##.######.##.########.##.###.####...###.#......#..##.###..........##.......##.#.##.#####...###.#.##..##.#.#.....#.#####........#.##.############.#......########....#####....##.###.#.##.#####.##########.##.###..###########.##.#..#.#.#.##.####..###..#.#.####...#..........##.##.#.###.###......#..##....#..#####.##.#####...#.#..#########.#####.#######......#.#.##....##........##########.###.#######..#.#.#.#.#.#########........#.#.#######.########.####.#####.#####.###.####..#.........#...........#.#.#####..##.#........#######.##.#.##.###.#...##.##.#.#.#.##.#
#.....#.#......########....###..#######.##...#.##...##.#.........#..#.########...#.#.#.##...##.####.#.###.#.##.#.#...######.#........#.##..#....#.###...#..###...####.######.####.#.#.....####.#.##.#.#...###.#.##...###..#.#..####.##......#####.....######.#.##..#.##.####.#.....###.#.....##...##.#.#####..#...##..######.#.#..#.##..#.######..#.#..#.#.#.....####.##..#.#..#.#.#.####...#.###.####.###.....#.#.#.##....#######.....#.###.#######...#####..#.#.########..##.###.#####..#.#.#......###.##.####...#.#.####..##.####..#.########.#.#....#.#...#......##.###.....##.....#.##.....##..#.#.##.##.#.#..#.#.#####.####.#...........#...#.######.###.####.##.#.#.##.###.#.######..#.##.#.............####.##########.#####.######.....###..#..#.....#.###.#...........###...###.##########..##.#.#.#.##.#.##.#...##......####.......##.##.####...#.#.#.###...#.....#.######.#.#.#......##.##.#.##.......####......#....#.#
#####.#.####.#.#...##.####.##..####...############.###.##.######.##.###.#......#.......#######..#............#.###.###.##.#.########.#.###.####....####.#.##.#.####..........#....#.###.#......#########.##......###.#.##.....##..#.#######.##..##.#.###.......###.#.#..#.#....#.#.#.#####.#.####.##.....##..########..##.#######.#..#.#####.#.#.##.##.......######....##.#.#.##...#.#.########...##.#.....###.#.###..#######.#..##.####...#.#####...#..##.##.#.....##.#.#.##....####.#####.#...##.#...####....###.......###.##..#.##...##.##.#......#.##...###.#########.#.##########.#.##.#.####.##.......#.#...##...#.###....###.#####.#.#...###.#.#.#................#.#..#.#.#.#.##.##.#.##...#.#.#########.##......#...#.###........#######.#.#####.###....####.#######.#.....###...##..#.#.##.###.#.#.............####.###.###.##.##.####..########.#########.#####.#####.##.#.#####.##.###..#######.##.#####...######.####.#
#..#..#..#####.##.##..##......##....#..#.##.#.#.#####..######.#.....###.###.#####.####.#...#.##.#.##.##.##.#....#..##...#.#.#.###.......##.##.####...............#..#.####.######.#####.#.#.#####..##....####.##.......##.#.#..##.#..##.#.#.#..##..#.#.#######..##.....##.########....##...#...##..###.####.#####.#.#.##....#.##....##.####....#.#..#..#.#.#...##.#.#####.#....#.###.#...###.#..###....##############.......#...##..###..#.........#.##.#.......######.....##.##...#...#.##...#.#..###....#.#.##.#.#.#####....#.##....#.....#.#.####.#....###.#.......##......#.##..##......####......#.###.....####.###...##.#...#....######.#...#.......############.######.#.#.#....#.#.......#.#.#.##...##.#.##.######.#####.###.##.####.##.#.#..###..########.##.#.###########...###....##.#..#.#.#.....##.##.##.##......#####.#.##..#....##..##....####.#.##.####.#####.##..#.#.....#..#...##..##...####.##..#.######........#
##.##...##.###.##.###..#####.########.##........#.#.####.#....##.#.##.......##....##...###......#########..####.##.##.#...#.#.#.#.#####.......##...#.#.#.##.##.#...#####...###....#.....#.###.#.##..####..#######.###.########....#.##........##..####..##.####....##.###.#.#.#..###.########.####.###....#.#.#.#........#.##.###.###...#.#.####...##.##########.....###..#.####.##....###.#.#.##...#####..#.##.#..####.#####.####.##.#.########.#####....##.##..#.##..#####...#####.###.#..######...#.#########.#.###.#.##.#......#.##.#####......####.#.......#.#.####.######..##.#..#######.##.#####.###.###..........#..#.#.#.#.##....#########.#######......#.#.###.##.#.......#.##...##.##.#####....#.......#..###.#..#.#.......#.............##.##.....##.#.#.............###.###..####..#.##.#...##.########...##.###..........#.##.######....#####..............##....##.#.##########.#####..#.#..##.....##.##.....##.###.#
#.....#..#.#.####.#.##..###..#..#......##.#####.#.#.###..###.###########.#.######.####..#######..#..#..#####.....#.######.#.#.#.###.##..#.#.#..#.#.#.########..#######.##.##.#########.##.#...#.###..##..##.##.#####...#..##.####.#....######.#####.#..##.....#.##..####..#...#.##.#..##.###...##..#.#.####.......#.#.#.##..#.#.#...###........##.##...##..##.##.###...##.#....#.##.####.#......##.###..#.##.#....##.#####.#...................####.###.#..#.###....##.......#..#.##.##....###.##########..#.#...#..##...##.##############.##.###.########.#.#.#######......####.##.#.#####...........#...#########.##.#.#.######.#..##.###.##.#.##.##.#.#..######....#..##.#.#####.####.#..###......#.############.##.....##...#######.#.######.##.##.#..#####..#...#.##.##.#####.###.##....##....#.#.#######.#.########...#########.##..#.....##.######.#.#.#.#.#.####....#.##.......#.#...####..####.#######.#.....#.##.##....#.#
########.#.#..##..#.#..##.#####.######..###.###.......##.##....##.#.##.#####.##...#....##.#.#.##.##.#.##..#..#.#....##.##.#.#.#..##..#.######.#########.##.########.#...###...##.#.##########.......####.##.#...##...#.#.##..#......######.##.#.##..##.##.###.#.###..#.##.###.#..#...##..#.###..##.#.#......##.#.####.####.##.#.#.###...########.....#.##.###......#####..#.####.....###.#.######....##.#.##.#.#####.......#.###.#.#.##.###.#.####....###.##...#.##.##.##.#.###.........##.#....#.#.#.#.#.##.#.###.##..###..##...#####.#.#.##..#####.#.#.#.#####.#.#...######.##.##.......##.#.#.#.##########....################.####...##..#.#.##..#.....####....####.##........#####..#######.#######.#.##.##.......#.####.#.....########.#########.#.###..##...###########.##...##..##.#####.###.#.##.##.#.#.#.#.###..#.........#.##.##.##.##...........#.#.#.#....##.######.#####.....#####..##.....##.#####.#.#....######.##.#
#.###....#.#.####...##.#........####.##..#......#.#.#.......##.#..#.#...#.##....######.##.............###...##.####.......#...##.###.######...#.#.#.##.......###......#..####.#..#...##.###.#######..#...#..#.#..##.##....##...#.#.##............##.#..#####..###.##.#.##..#..##.###..##.....##.##.....#########.#.##.##.###........###.#.#.##.##.#######...#.#######.###.#...##.###............###.##....#.....#..##.######...#.#.####.########.#.########..########...#.#...#.#.##.#.##....####..........#.....#.##.##.##....###.#.#.#.#.###...#.#.....#..#.#......###.#.##.##.##.#.######.#####..#.##......##..##........#.#.#####..#....##....##...###....#.#.##..#.#..##.#.#####.##....#.#......##.....#..##.#########.###.#####.###..#.#.##..##....#.#.##..#.#######.##.....####.##...##.........................#.##.#.#.###.#.#..##..###..#.#.#.###########.########.#.#.###.###.#####.#.####.####......######.#.###.####..#
#.....##...#.#####.###.#######.##.....##.#.#.#.##.#.##.#.#####.##.#.###....##.#.####......#.#.#.###.#.....#.###########.#.###.##.#.#.##.#.###.#.#.#.#####.##.....##.####..#...##.###..#.....#####.##.###.##.####.######.############..###.##.#.#....##...#.##.##.....#..##.##.....###.######....##.#####..##.###....###...#..##.##.###.......#.#......#.#.###...##.....#....###..#####.#######.##.#..##.###.###...###.#....##.####....###.##.#............#####.##.#..#.#.##.##.#.####..##.#......####.###...#.#............#.##.#.#...........#...#.######.....#.####..............#..###.#.....##....#.########....#.######....##.#.##.##....#.##..#.##..####.#####.#.#.#########.#.##.####.###.##....#.#...##........#.#..##.#.......##.#......##..##.#.#.##.####.#.##...#.#######..#..#####.##########.#.#.#.##.#.#######.#...######..##...######.#......#.#.##......##...........####.#.#.#.##.#......#.#.####..###........##.#
##.##.#..#....##...##..##.......#####.##.##########.######...#.#..#.#.####.##.###.#..####.#.######..##.##.###.......#####.#.#.#..#.#.##.#.#...#...#.#.###################.###..#...##.#####............#..#.##.#..##.##.###.....##...############.#....#.......#####...##...###.###....#.#.####.......###..#...######...###.########.###.###.#...####.#.#.....#....#####.####.#.##..##.#.#.#.####.#.##........#.#...#.#.####..#.###.#..........###.########.##.......#######.#..#.#.###..#.##.#.######...#.#.#.##.#.#.###.#.####.....###.##.##.#.#........##.#.#######.###.#.##.##.###.......#####..##.........##########.....##..#.####.####.##....######.......#.##.#......#.........#.#.##.######.#.##.##.###.######.#.#.##....########.#.########.####....#.####....##.##.##.##.##.#.###..#.....##########.#..#####....##.###..#.#.#.##..###.##...#.##.###...#########..##.#.#.#.##.#....#.#.#....##.#.#.#..#.##...#.##.##.##..#
########.##.#..###..##.########...#.......#.#.#.#####.#.####...##.#.#.#....##.##..##.####.#.#......##########.#.#.#...#.......##.....#....###...###.#.#....##.#.#.###.#.#..###...####...#.######.#.#.#.##.#.##.#.###......###.######.#..###.....####.#.#####.#.#.##..#.###.##...#.####.#...##...#.#####...##.#.....####..##....##.##..##.#.###.########...##.#######.##....##.#..##..###......##..#.#..#.#.#.########......##....#########.###########..#....##.###.##.#.#.####.#.....##.#.##.#.###..#.###.#.########...###..#.#.###..#####..######.############.#.......###..#.##.#.##.####.....########.######.####.#.#.#######....#.###.##.##.#.##.##.###.#.#...##.#.##.#...#.#.#.#......#.#.##.#.#######.........####.#.##.######..##....#...#.#....##.####..#.#.####...#....##.#..#.#.#.##.###.......#.#####.......#####..###.....###..####..###.#.##.....#...###.....##..#.#.#......####.....##..#.#.#.##......#.#..#..#####.#
#.#.##.#######.#.#.##...##......#...#.###.#.#...#.##.....#####.#....#.####..###..##..#....#.############.##.#########.#.##.#.##..###.####...###..##.#.####.#..............##.###..##..#........#######...........#.####.###.#.#.##.####.#.#####.##.#####...###....####..#..##.#...#....###..#####..#..###....#####..#.##.##.####...##.#.....#........##.######..###.....####..#.####..##.########.....####.#.#.#......##.###..#.##.#.#..######.......#.##.##......#....#....#.#.#.#.########..#.....##..##.#.##...##..#...##.......##.....##...##....#.###....##.#.########..####.....#....#########...####.#...........#..#....##.###.##...###..#........########.##.#.####.#.###.###.#.#.##.#....#.##.##.###.#.##.##.#..........#.##.##.####.#...#.####....##.##.#...##.###.####..##...#........#.##.##......#####.##...##..##.#############.#.########..##.##.#.....#.#####.#.#.#.##.#......#.#####.###.#.##.##.###.#.######.####
#.#.#...##.#.#.#....#.##################....###....#####.#..##.####.#.#..##..#..######.#.##.###.#.#.##.#.....#.#.#..#.######.#..###..#.####.##..##....##.#.##############....#.##..#####.#####.##.#.#..#.#######.#.##....#......##.##.#.#.#.###.##.#...###.#####.##.#..##.#######.#.##.....##..##.##.###..##..#.#####.#..##..#.###..#.###.###.########.....##..##.#.#####..##...#####..#.#..#.##..#####.####.....###.##....#.##..#.....##......#.#####.....#.##.###.#.##.##...###.#.....#.##.###.#.####..#.#....#..##.#####..#.#.####.#######.####.###.#.#.####......###..##.##...##.###.######.##...###......#######.###.##.########..##.######.#.###.#.##.#.#.#####.....####..##..##.#.#....#.######..#...##########...###.######.#......#.#.#####.#.#..#####......####.##.....##..###.#.####.#.####..#.#.##.....###..#..##.........##.#.#.#.......#.##.###..#####.###.###...#.#.#..#.#.##.###...#.#####.#.##.##..##.#...........#
#...##.##....#.####.....##.....##..#.#.###.##.###.##.....##.......#...#.####.##.#..##..#..###...#.#....#####...#.##.#.##..#..####.##....##..###..####......##.........######....##..##.####...........####...#.#.#..####.######..#.#......#.#.#.##.##.##.........##.#.##...#.#....########....##..#....##.###......##.##.##.##..##.##.##...#.........##.####..##.....#..##.##.#..##.#.##.#.##..##....#.....##.##########.#...###...#####..#.#.##.#.#...##.####....###....##.#..##.#.###....####..#....##.#.###.##.##...#.##.####....#....##.####.........#......######...#######.##....#...........#.....#.#####...##...........#.#.##.#.......###.#####..#.#.#.#.##..#.#...#####..########.#.......###.#.###..........#########......##.#......###..#.#.##.#...####.###..##.#######.#.#.#...##.#.##.##########.#.#######.####.#.#.#####...#.#.#.#.###..#...##.....#...#...#####.#.#.##.###....#.#....##.#.###..###..###.##.#.###.##
#.#.....####.#...###.#.#######..##.#.#.#........#..#####.####.###.###...##.#.#..#.###.##.##...#...#.##.....#.#.........##.##.###..####.##..##.##...#######.####.####.##.##.###.####.#..##.#.###.#####...####.....#.###.#.#.##...##.######.#........##..#########.##....##.##.####..#.#.#.####.##.##.####....#.######..#...#.##.##..##.##.###.####.#####.#.##.####.####.##..##.####..........#.##..#.##.######........#.###.#..#######.#..##.#.##.....#.####..##.######.#..#########...#.##..#.##.##.######..##..#.####....#..##..####.####...#.####.#.####.########..#.####.#.##.####.##.#.##.##.###########..#..#..#.###########.#.#....#######.......####.#.#.#.##.######.....##.##.....###.##.####.#.#.#.#.####.#.#####..#....#######.#.##.###.##..........#...####.##.#....#.##........########....#.#....###..#....#..#.###.#.#.....###.#.#.####..#######.#.#.##.##.#..#.######..#..####.##.#.##....#...##...##...#############
#####.#####..##.##.#.###..#.###.#....#.######.#...##..#...#######.#.###.##...##.#.#.#############.########.####.#.####....##.#.##.#.#...##.##..###.#.#.#....#.#####.....##.###..#.#.##.##.####..#########.##.#.#...##.......###.##.###....######.#.###.###.....#..###.##......##..##..........#..##..####.#####....##.###.#.##.###.##.##...#.######.##....#...#.#..###..##.##......###.##.###....####..#.#..#.###.#.##.######...#.#.....########.##.##......##...##.#####..#.##.#####.#.###....#.#......##.##..##.#....#.##.####...##......#...##.###.......##....##......#.#..#..##..##.#..###...........###...##.##.#.#.#...###.#...#.##.#.###.#.#.#....#.......#....#.######.#####.##.#######.##.#.#.#........#####.#.#.##.######.#.#.#..#####.###.#########.###.##.##.#.####..####.##.##.#..##..####...#.####.##.##.#.##..######.#######.#.####.#.##.....#.#####...#.##....##.#..#####.#...#.#..#.#.######..####.#####.#.#.....#
#......##.##.#...#.#..###....#..####.....#..#####..##.##.##.........##...###....#.#.##..###.###....#...#....#.###########.............#....###.##..#.#.####....##...#.#....#.##.....#..#...#.####....###..#######.##..#####..#..##...####.#......#.....#.###.#.##......####.###..######.##.##.##.##.##.#....##..####..##....##......#.#..#......###.##.####.###.##...##.##....###.##...####...####.##.##...##...######.#..#.#.###.#.#####..#.#.#.##..#.#.#.####.###.#.#.##......#.#######.#########.#.#..#.#..######.#.#.#######.###..#.#.######..########.###.#####.######...##.######..##.##..#.#.###.#.....#.##.##.......#.......#####....#.#######.####.#####...####.#.#.##...##...####.##.###......#.#########.##...#.#...#.#.#...########.#..##.#..#########.....#......##.##..#.#####...##..####..#####........#######.#.#.#....###.#....#.#.#.#..#####...#####.###..####..##.......##.##.##.#.#.....##.####......#.....##.##
###.##.........#.#.#.##.####.##...######.#.##.....##.....######.###..###.##..##......##..#..#.####.###.####.#.##.##.......#############.##......##.#.#.#.#####..########.#...######.##.###.....#####.#.##.#.#.....###.######.##.##.###.##...#.##.##.##.....###.#####.#......####.#..########......#......#####.###.#.####.####.##.#.#...####.####.#.#.....#..##.##.#.##.##.###########......#............###..###..#.....##.#.........####.#...#.##.##.###....###.#.#....########....#.....####..##############.##.###.#...#.##....#.##.#......#.##.##.#.####..###......###.###.......##.####..##.#...#.##.#.###########.#.########..#..##.###..#.#.#####.#....##.#...........#.###..#####.....#####.#.##.......#.#.####.....#.....#.#######..#...##..#.##....##.#.#####.######...##.#.#.#.#.####.###...##...#.##.#.#..#.#.#..#.#.#.####.#.#.####...#.#.####.##.##.#.#...#.####..##..##.#####..#.##.###.#.###..##.##.#####.##.######
#.#####.##.#####...#.##.##....###.#........##.###.######.#.#########.#.#.#######.###.###...##.#.##.##..#..#......####.#.###..............##.#.#........#.......###.#.#.#####...###.......#####.#.##..#.#....##.##..####......##.#.........#####..#####.#.#.##......########.#.#..##.#.##...######...##.###.#...#.#.#.#.#...##...#####.###..######.....##.##.###.##.###...#.......#.#.######.##.#.######.#######.##...###.##.#.###.#.#...#....#.#.#####..##.######.#...##...###.#..##...###......##.#.#.#..#.###..#.###.#.#...##.#.########.#####..........#.##...##.#####.#...##.#.#.##.....##.##.#.######.#...##.#....#.#...#....####.##......##.#.#.#.#...####..##.#######.####.#.##.#.##.####.##..####.#######.#..##..##.##.#####.....#.##.#.#####......#####..............###.#...................#..#.######.######...##........#.#..........#...#.......###....########.#.###########.##.#.##.##########....##........####...#
#..##.#######....#....#.#####.##..##.#####..####...#####.#.#..###........#.#...###...#.###..#.......##.##.######.#....#.#...##.###.##.#.##..#####.##.#...#.#.#.........##.#..#...#######.###......##.....##..####.##.#######....#####.##.##.....##...#####.#..###.###.###.....##..#.#.###.##....#.######.#.#.###.......##.##..###..##.#.#.####..#.#########.........#..#...#.#####.#.######..#####....####.#.#.....#..##....#...#.#.#.#...####.###.#.##..#####......#..#.#.......####.##...#######.......##.#.##.#.#.###.#####..#...#.##......##.####.##.##.#..#......##....#..#.#.#..##.####..##.#..#.##..#.#..#...#.########.#####......#.##............#.#####..#.......###.##.#.##.#.#...###..##.##.#...........###.######.###...#####.##.#...##..#.##..#.#..#.##########.##....#.#.#.##.######.####....#.#.########.###..#.##.#...#.##.#.#.#####...#.#.#..#..#####.#.#.#.#...........#..###.##......##.##.##.###.###.#..#.#.###
##.##.##.##...#.####.##..##......#####.#.##..#.###.#.....#...##.#.#.#.##...###.#####...#.##.#######................##.###.###########.#.#####.....#####.######.#######..#.######.#...........####....#.####.##...............##..##.################..#.#..#####..........###.#..##....##.#####.#.###.##.#.#.#...#######...##.####..#......#.##.....###.#.#.#.#.##.##.###.#####....#......#####.##.######..#.#.##.##.#####.###.##.#.###.#....#####.#.###..#....#.#.#####.#.##.##...##..###...#.....#.###.##.#..#.#...###...######.#....#.#.##.......#..#......###.#.#....#.#######.##..#...######.##....#.#####...#.#...........##...#.#.#####.####.#######.....##.#.#.###..##..#.#.##...##.##.##..#......###########.#....#.###...#....#..##.#.####.######.....##........#####..#.####.#.##......#....#.####.#.....#.....##.#########....###.#.....###.###.##...##.#...........#.#.#.##.##.#######.#.##.....#..#..##...#.#.##.#.#.#
#.........#.#.###.....##..######.##.#.....##.#.#.#.##.##.#.###..#########.##.........#.......#......#.#####.###.##.#####..#...#...#.#####.#...#.#....####...#####.#.#..##..##.##.#######.#######..#.#####.#..#####.##.###.#.####.##..#.#.......##..##.#.#.##.#.###.#####.##...##..###.##...##.#...#.#.#..#.#...#......###.##.....##...######....#####.#.....######....#.###.#.#.####.#.##..........####.##...#.########..####...#.#.#####.##..#......#.##...####.#....##.#.#####.#..##..####...##.##...####...##...#...#.#....##..##.#.#.#.##.#.#.###########..#############.#####.###.#.###..##..###.######....######.###.##.#..#.#######.#.#....#.......####.##..#.######..#.##.#.##.###...#..##...#.##....###........####.##..#.###.##.##...........##.####.##########....#..##..#########.######.###..#.....#.#.#.######.###.##.###.#...#.#########...#..###......##.##.##.##.#.###...........#.###..###.#.###.##.###.#..#.....#
#########.###########.##.##.###.....#####.#........#####...#.#.###.#.#.##.#####.############.################....###...##.###...#.#..##.....#######.##.####.#.......##....##......###..###.......####.#...#.##......#######.#....###.#.#######.#..##............##.#......###....##.#..##.##..###.#.#.#.##.#.##########.#.##.#####..###.#.#..#.##.##....#.#..#.#.######..##...#.#.#..#.##.######.#.........###.#.##.#.#.####..#######.#########.##.#...##.#....#.#.##..###.....####..#.##.###############.#.#....####.##.#.####..##..###.#.##.###....#########.................#.###.#.###...####.#.#......##.#.....##..##..#.##....#.#......##.###.###.#..###..##.#.###.#####.........#.###.#.###.#.#..#.##.....##.#.#.###.....######.......#.##.##.#.......#..#.############.######....#.#....##.#...####.#########.##.#.#..#.......###.#.#.........#.#.#.####.##.##########..###...##.###.######...##...#.#...#.##...####...#####
#.##.#.#...##...#........##.#.#####..###..#####.#.##.#...#.............#...#.##.##............#.#.##.#........#.###..#....#...#.#.##.######.##.#.#####......#######....##....#.##...##.########.##.##.###....##.##.##.......#.##.....#.#..##.#.#.##..#.#.#.####.######.#.##.####.##.#.##...##.##..............#.#.#.#.#...#...##.##...#.#.#.#####....#.##.####.#.##.####.##.###.#.#.#######....#.#.##.##.###.#..........#..#####.#.........##.#.#####.###.##.#.###..##...##.######..##........#.....####..#.##.#.##.###..#....#.####.##..#.#...###.###.#....################.#....##.#####.###.####.#########.##.#.####.##.##..#.##.....#.#.###...#...#.##...##.######.#.......#########.#...#.....###.######.#.##..#####.#.#####.#..##.###.##.################.......................##.#.###.##..###..#.#...##.#.#...#.#.#.##.###.#..#######.##############..#..#..#.......#.############.......#.############.#####.###.###.....#
#........#..###...##.###.#....###...##.##.##.####.##.#######.#.#######...#...##############.#........######.#.#.##..#####.###.###.....##.####.....##.##.###..####...#.####.#.######.#...........##....#...##.....#####.#.##.#####.##.#.##.##.....############....#####.#.#..##...#.....#.#.....##.#.######.####.....#.###.#.####.#..#.#.#.#.###.#.##########..........##.##.###...#.#.##.#..#.##.#.#####.....#.#.#.#.##...##.#.....#########......#.#.#.##############.######....##..####.#####.#####..#.##.####.....#######.#####....##.###.###.........##....#..###.#..##..#.####...##............###...#.#.######.#...#.#..##.#..##.######.#############.#####.#.#....#####...#.#.###.#.###.###..##..##.###########.##.#.#.......###..##..#....#.#...###...####.#.########.####.#######..##....#######...####...###...........#####...#.#.#.......#.#.#.##.##.###...#########..###.....##.#.#######.###.##.######.........##.####
#####.#.###...##.###.#...###.##.###.#..##.#..#.#.....##...#######.##########...##.#.#.#..#####.#####......###########.#...###.##..###......####.#....####.##.#....######...#.##.....##.#.###.#.##..##...######.#####.#.########.####.#.#..###.##...##.#.#.#.####.#.#.######.####...###.######.#####..##.####.##.#####.#.#.#.#.#..#.####......#.........#.##..#.#.##.#.#.........#..........#####.#.....#####...#############.#.#####.###.....#.#.##.###.##..#.##.##..####..#..##..##...##..#.#....####........######..#.#.##.....#.#.##...##..##.#.#.#########...##.#.#.###.######..###..#.##########.#.###.###.#.#..#.######..###.#####.#.#...........#.#####.##.#.##.####..##.##...#.#.#.....####..##.....##.#.#.#.#.##.....#.#.###.##..#.###.#.....###.#.########..##....#....#.###..#..####.#.....#.#.####...###...#.#.#####.....#.#.....#.#.#.#.....#..#..###.#####.##.#....##.#.########.....##.......#.#.##.####.###.##....##
#.....###.##.#####...###.....##.#.#.##.##.##...#####....#.........#...#...####.#..#.....##.#.#.#...######.###...#.#.....###.#############.##....####.#.##......#####.#.###.########....####..#.###########.....###.#.#.##........#.....##...#####.##..#........#.#.#.##.#.#.#....###.#..#.##...#.#..###.#.#...#.#.#.#.#...#...##.#.#.##.###.##.##.#.####.##.####..###...#.####.##.############.###.#.#.....###....#..#..###.....##.#.#.#.##########.....##.##.##..##.##.#.##.#############...#.##......#.#.##......##......#####.###..##.###.##..###....#.###..#........#.###..#.##.#.#.#####....#...........#....#.#####.#.##...#...........#.#.#.#.###.#.##...#.#.#.......######.###.....###....#.###.#####....#.....#..##.####......#######..#.###..............##....##.###.####...##.#####.#.#.#........#.###.#.###.#.....####.####.###########.#####.##.###......#......####.....#....####.#....#.###...........#..##..##.#..#
##.######.#...#..######..#.#...........#...###.#.#.#######.##.#.#...#.###..#...##.#####..#...#.##.##.#......##.##.##.#.##....##............######.......######.#.....#.#.####..##########.######.##.#......#.#.#.....###########.##.##....###......##.###.####.......#....#.######...##.#.#..###.##.#.#.....###.#.#.#.#.###.####.#.#.#....#.....#######...#....######.#.#....#.##....##.###.#..#######.#.#######.##.##.##.#.######...........##.#.##.#####.#...##..#.#..........#.#.###..#.#....######.#.#..####.#######.#.....#...#.##..##...##..##.##.....#.###.#####.....#.##.##.#.#.#.#.##.###.######.####.####..##......###.##.#.##.##.####.#.####..#.#..###.#.#.##.##.##.#.#.....#.############.####.#..##...###...##..#.#######.....#.####.##..###############.#.###...#.#.##.####.#.##..#.####.#####...........#.#.##.#######.######..#.#.##.....#........####...##.###.#..###...##....#.#.####...##.#.##.#####.#########.##
#..#........#...##..#.####.##.##.#####.###.##....#.#.#..#############...##.###.......###...#####.......##.#....##..#########.#######.#####.#.#..######.##...#####.##......#.##.....####...#.#.##......##.#.#.#.#####.###.#.#......#######.#.######.#......##...#####.####.#.###.####.##.....####.##.#...#####.#.#...#.#..#..##...#.#...#.###.#.###.##.#.#...#.###.#.#############.##.#........##.##.####.......#.##..#.#.....##.#..############........##....#..##...#.##.#######.......##.##.#..##########...######.######.#.##.###..##..##.##..##..##.#.###.#.#############..#.##.#...........##.....#####........##..#######...###.##.###########..##...##.#.#.#.#..#..###..#...#.#.#.......###..#.###..#.#####..####..##...#.#######.#...#..#.###.........###.#.###...#.#.###.##.##......##.#..##......#.#.###.#.###.#..#..#...##.#.##.#.##....#.#.#...###.##....#.###......#.####.#####.#####.#####.##..#.##.....#....##...#..#
##.#.##.#.#####.###........##.########......####.......##.##..##.#.####..#.#.##.##.#...##.###.#..#.#.####.##.#..##.##.#........##....##......#.##.......###...#.#####.###...#..###......#.....####.##..#.#.###.##......#.#.#####.###.................#.#.#######.....#.#....#.#...##....#.#..#.#.#..#.#...###...###.....##.#####...#.#####.###.#........#.###...#....#.#.###....#.#....#.#.#####.##....##.#.#######.##.##.##......##.....##.#.#.########..########.###..#.........####.#########......#.##..###.##.#.#.##.#####....##.#..##...##.#..###.#...###.##.....##..###........#.#.#.#.#..#.#####.#.#.######.#..##.#.#.###..#####.#.###.##.###..##.##..........###..###.#.#######.#.#.#.....##.#.##.#...######..#.##..#........#####.##.####.##.#.#.##.........###.#.####........#.#.##..#.###.##.#####...###.###.##.##...#..............#.########...#.###.###.####.###......#....##....##.#..#####.##.#####.##.##....###.##
#############...#...###########.#......#.##..#######.#.......##....#.###.....#########.#........##.####...#####.#.....###.####.#############.#..#######..####....#.#..#...#...####.#.##.#####...##.#..#######...######.#.#.####...#..###.#########.########.#####.##.#.####.#.###..####.####...#.##...#####.#.###...######.#.#...#......#..#####.################.##...#...#.#######.#####.......##.###########.##...#.#...#.#.#.###.##.###......##....##...#.###......##.#########.####.##...#####.#....##..........#......####.#.#####.####..#.##.##..#.#####.#..#####..##.#.#####.##.#.###.#.##............#..####.##........##..###.....#...#.#...##...#.####.#.#...##...#.#.......########.##..#.#.##...#........##..#############..#####.#.....#.###..#.###.#.##########.#.####.#.#######.#...#.##.....##.###....#.##..#.###.#.#.######.#####.#.#.##.#.#..##...#...##..###.#.#########.#.##....##.#.######.##..##..#.#.#######
#.#.#..##.....#...###...#######.##.#.#.#..##....#..####.####.#####.#..######.#.##........#.#.##..#####..#.#.#.#.####.######......###...##....##...###.##...#####.#.####.#.#.#.#....#..#.#.....#....##..##.##..###.##.#........###...##.#.#.........##.##........#.#....#.#..#.##..#####.#..###.#..###..##.#.#.#.###............#.#.#.####.##..##......#...#.##.##.####...#.....####......##.#######.....##.##...###.##.##.######......###.#.######..####..#.#.....###.#####....###..#.##..##.##.#.#####.###.#.###.#.##.######.######......###.##.##.##.##.#.#.#.#.##.#.#.##......######.#...#.#....#.#.#.##.###.##.#.....###.#.####...##.##...###...####.###.##############.##...#.#.######.#.#######......#.#.###.#.####........######.##.#.#...#.#.#.#...##...######...#.#.#.#.#.#######.#.####.###.#..###..#.##..#.##..##.#...###.#....###....#.......##########.##.#######.###.........###..##.#..#....#.##...##..##.#.####....#
#.#.##..###.#####...#.#....##......#.###.######...###....###.#.#.#.#.##.........#######.##.#..#####....####.....#.#..##.########.#.###....##..##.##.#.####.#.###....##..###.#####.###.####.#.####.####.##....###.....###.####.....###....##.#.#.##.##..########.######.#.##.#..##.##..####.#.#.#.#####.#....#.#.#.#.###.##.#.###.#.#####...#.##..######.###.....#....##.###.##..#.##.##.##..........#.#....##.###....#........##.##.#..........#.##..##..####.#############.####.#.##.#..###.......#.####.#########..#.##......##.######.##....#..###..##..........#...#....#.##......#.#.#.#.#.#.########.......#.#.#########....#####...#.#.....#..............#.#..###......#.#####.#.#.....#.####.########...#####.#####.###...............#############..#....#...###.#.#..................#...####...##.#####.#.########.########.###.####...###.#.....###.##..#..........##########..##.###.##...#.##.#..#.##.#########..####
#......##.#.#.....########..##########...##.....#...###.##...#.......#########.##.#.....#..#.##...##.####...###.#.##.##.#.#............##..##...........##.......##....######......#####.###.##.....###########..###.....##...###...##.#.#..##########.#.#####...##...........###.###..##.........#.#..#.####.#.#....##.##.#...###.......###....##........###.###.##..#...#######.#########.####.#.#######.....#..##...#.#.#.######.#######.##...##.###.##.##...#....#.##.#.............##.#.####.##.......##.....####..#.######...#.###..##.###.###..###.#.###.#.##.###.################.#####.#.#..##..##.##.#.............########.#########.#.##.#.#####.###.....##.#.#.#.#####.#......#.###...........###.#.........#.######.#.#.######.###..#.#.#.#######.#.##.#..#......#.##.#####.#.#.#.###..#.#.#.##..#..#####...#.#.........#.....####.#...#.#####.....######.#.#.#.#..........#######.###..#.###....##..#....#.##.#.#####
#####.##..######.###..#####.##.#.##.###########.#.##########.#######.#.##..###.##.########.######.#..##.#####.#.#.##.##.#.##########.#..##.###.##.#.#.#....##.##.####.##..#####.##.#..........##.#.##.#.#.#.#.########.#.####.##..#.####.##.#....###.........###....###.#.#.#..#...##.##..#.##.##.#.##..........#.##################.#.#.....#.####.###.#..........#.##.#..#.###..........#....##############.##.#####.#.#.###.##.#...#...#..##.##..#......##.###.####....#.#########.#..#.#...#####.#########.#####...##........###.#.##.##...#...#.##...#...###...........##.##.#.##.#####.####.#.###.########.##.#####.######.##.#.#.############.#.....#...##.#.###.###.#.........#.##.#.....###########.###.#.#.###...##...#.###.##..##...#.##...........###....##.#.###.##.##.....#.############.###.#####.###....#.#.##.##.#.#######....#.##.##....###.####...############.#########.#.....##.######.##.###.#.##....#.......#
##.##....###.#####...##......#.#.....##.##.#....#..##..#.#.#.#..##.....###......#.##.......##.#.....##..##.#..............##.#.#.....#.#####...######.####.##.#..#.##..##.......##.##.###.##.#######...................###..#.##.####....#######...###.#####.##..##.#...######.###.#.....#####.##...#..##########..###.#......##.#####.#.#####..##...######.#.##############.....####.########...##.#.#...#.###......#.#.#...#.#..#.###.###.##.....##.##.#.##...#...##.####.#.##...#######.#.###.#.#.##.#.#.#...##.###....##.###..#.....#.#..#.#.#.####.#.#.#...#.##.#.##.###.....#.....###...###.......#.##.#####......#.................#.#.##...####.#.###.###.###.#...###.##.#########.##.##....##...#.....#.###...#.#....##########.###.###....#.############.#.##.#...#..#..#.#.#.#.##.#.#...###.#####.#.#.#...######.#####.###.######.##########.###.####.#.###.#.#.#.#..#.......##....##.#####.#.....#...#.#..#.##...###.###
#.....##.......#####..####.#...##.##..#.##.#.#.###.#..##.......####.##.#...#.##......####.##..####.####......###.#.#.##.#........#.#.####.####.#......#....#..##.#....##..##.#.##...####..####..#....##.##########.###...##...#.....######.#...###.#.####.......#####.#.#.......#....###.##..#..###.##......#.#.#.##.....####........#.#.....####..#.....##.#....##.#.####.#.###....#.....######....#...###..##.#.#.####.#.###...##.......####.###....#######.###.####.#.......#.###.#.###....................###..#...#.##....##...##############.##...###.#.#.#.##.#.#......#.#...#####.##.##.####.##.........##.#.####.############.#.##.#.#..####.###...#...#.....#.##############.#.#############.#.#.##.#######.#############.##.#.##......######......##.####.##...#.#.##.##.#.#####......###.#.#.##........#...#.##.#.#.####.......#.........##.....##...#..##.#.#...#.##.###.#..#.##..###.##....#.#######.#.##.#..#...#...#
##.##.#######.##.#.##.##...#.#..#####.#..#.#####.#.##..#######.#.####....#.#########.##...###...##..##..###.##...#.#.######.#.#.######..#......#.###.##.#.######.#.##..####..#.###.##..##....##.#.##.####..........##..#.#..#.###.###......###........#.####.#.###.############...##...#####.#.##......######.#.#.##.###....###.#.#.#####.##......###########.##........#......###.###.##.#....##.#...###.#.##..############.#.#####.#.##..#.###...#.##.#.#.#.#..........#####....##.......#.#.####.##.###.####.##.#.#########..#######..##....###.##.#.#...#####..######.##.##.#.###.##..........##..#####.###..###..###.......#.#..#.####.#.#.###.#...######.###.##.....#.##.##.............#.#.##.#.###.#######.####.#.......#.#.#.....#.##.#........#######....#..##.#######.##.#..#.##.######.#.#.#....#####.##.#...............#.#.#.#.#.#####..#.######.###.##......###..#..#######.###..#..#..####.##.######.#####.#.###.###
##..#.#.......##.#.......######..#.##.##.#..#.#.....#.##.#.###...#.###.######........##.###.###.##.######...##.#.###.#......###..##.###...###.##.#....#####.##.###.##.##....##.#.#####.##.####....##.#....#.######.#..##.##.#.#.....#####.##...##.#.#......#####.#.#.#.##.###...#.#..#.##....###..##.#................#####..########.#.#..#.#.##.......#..##..#.####.###.####..####.######.#########........#.###.#.#.##.#........###..##.....##.##............##.##.##.....##.#....#.###.###.##.#..#...#...............##.######.#..##.#..####.###..###.#.....##...###...###..#........##.#.#.#..##...###...##..###.#.##.####.#...#####.#.#.........#......###...##.#.#.#.##.##.#.#.#.#######..............#.#.#...##.#.#######.#...##.####..#.#.#.#.####.....##.##.##.......#..#.##...................#####.#####.########.#.####.#.#.#.#.#....##.##...#.#......####.#####..##.##.#.##....####.##.###.###.....##....##..#...#####
#..#####.##.#....####.##.#..#.##.........##.#.#####....#...#.##.##.....#......#.##.#.##.#...#...#####..#..#.##.#...######.#.##..##......#.##...#.##.#..##......##..#######.###.#..........######.#######.######....##..#.##.#.#.#######....#####..#.##.###.##.#...............#.####.#######.....###.###.##.##.#.##.###.#.##...#.#.#....#.#########.#.#...##..##...##........####.#...##.##...#..#..##.#.###................#################.#####..####.#.##.###################.######...##..#.##.#.###.##########.##..#.#.##.....###.#.##..#...##..##.##.####..###.##########.##.#.####.###.####..#...#.#.#####.###.##...##.#.###.##......######.###.###.#####.##.#.#.......#.#######.##.##.##.###.####.##.....###..............#..#...##############...#########.###############..##.#.##.####.##.#........##.#####.#..#.#....#######.#.##.########.##...##.#...#........#####..#.##.##..#....#......##.##.####.#..##.#.#.....#
####.##...###.##......#####......#####.#......#.######...#.......####.###.###.###..########.###...#.##...##.##.######.#...##########.#.#######.###############.#..##.##......#.######.#.###......##.#.....##....##.##.##.#########.##.####.##.###########.......######.######.#.#.....#.##...#.#...#.#....###..#.#####.....#.#.......####.#.#.#...#.###.#####..#.#.##.##.#.#..#.....#..#.##.###.##.###.#.######.#########.#....##..#..###.###.#.####....###..#...###.##.#.#.#.##.#......##.####....#.#.#####........#..####.#.#..#####.#.#..##...####.##..##....##..............#.##.#....####..##.##.#####.#..##....#..###.##...........#.##......####....#...##..####.#.###.#.................##...###..#.##.#######.#########.#.###.#.###....#.#..##.#.#....#..#.#.#.....###..#.###.#######....#..#.####.#.#.#...##.....##.#.##...##.##.#..#.#.....####..######.###.#########.###.#.##..####.####.####..#.#####.#######.#.###.###
#.#...#####...###.#####.##..#.##.#######.####.#.#.#....####.###.##.##..####.#############.......#......#.##.######.#....#.##..##.#.#.#.#.#.....#...............##.##....##.#####......#.#...##.###....#.#.#####.##..#..###.#...##..#..........#.##.##.#...##.#.#####.###......#.##.#.##..##.##.##.##.###.####.##.....#.###########.#....###.#...#.####......##.#.#.##.#######...########.............#####....#.....#...####.#....##.##.#.#.###.#.###.#########.##.#..........#..#.#.##..#.##.#.#.##.#.#..#..#.#.#.###..........###.##.....##..#....#..##.##.##.###.##.#.#############.#.##..##.....#.....#.##....##...##.######.##.##.#.#######.#..#.##.###.#####....###...####.#######.##.#.#..###.###.#####....#..#.........#.#######.....####...###...######.##.#...#.#.....##..##.......#.##.####...##.#.#...#....#.######.####....##.#.##...###.#.#..###.###.....####.###...#.....#.####...#......##......#.....#..###..##..##
#.#.####....#.#...#........##..###....#####.........#.########...#..####.#..###.###..##.#####.#.#####.##.##.#........#.##..##........###...#.#.#.#.###.#######.#...#.##.#..##.####.#.####.#..##############......##.#.##.....#..##.########.#...........#.##.###......##.##.#.#.####..##.##.#..#...#####....#.##.#.###....#.#.#########..#....######.##.###############.####..#...#......##.#.#.######..#..#.##.#####.####.######............##...#.#......###...#...#.#.######.####..#.####....#########...########.##.###.#.####.....#.#....##.##############.#.#.####..######.##..#######..#.#.#.#.#.###.##.#####.#..#.##.#.#..#..#.#.......#.#.##..#...#..##.##.#.##..#####........#..#.#.#.######.#.#.#.#.####.##.############.##...##.####..#.....#.##........###.#.#.###....##..####.#####.####.#..#.#.#.###.##.#.##.###....###.##########..##.....###....#.###....#.#.###...#.#........#...#.##..##.#.#...#.#.#.###..####..#
#...##...#.##.##.#########.##.##...##..###..#.###.#.####.#.#.###.##.##.#.#.##.#.#.##.##.#.#####.#......#########.#.#.#.##.##..#.#.#.###..###.#.#########.........#.#..###.###.#.######.#..##.##.....##.#.#..####..#.#.###.#####......#.##...##.#.##########..#...##.#....#..#.###....##.....##.#.#..##...######..#.....####.......#..##.##.#####.#...##........###..##...#.##.#.#...######..#.#......##.##.#######..............#.#######.##....#...########.###...#####..........###.#....##.#....##.#.#.###......#.###########.#.#####.#.##..#....##..######..#....####...........###.##.#.####.#.#.#...#.#......####...##...#.###.###.#.##.##.#.##.##.#.##....##.#####...#.######.###.######.....................#...#.#....##....#.#.##......###.#.##....####.#...###.#.##########...####.#.###..####.###.#..##..#.#......#.##...#.....###..##..#.#.#.....####.####.#.........#.###.#.##.#.##.######.##########.#.....##...###.#
###.###############.#.##.###...###.###.....##.#...#.#........#..................................#.##.#.##.##.#####.###.##.#..##.#.#.#...###..####.##.######.##.#.#.#.##...#......##.#....##########........##.##.##.###...#.....####...#..#########.##......####.##.#.#.##.########.##..###..#.###.##..#......#.##.#.#......##.##...##..##.#.......#####.#######.##.#..###.####.#.#......####.#.#.####..##.###.#.#.########.################.#.###.######.##..##.#.....##.#.#.#.###.####.#.##.##.#..#.#.#.#.#.####.....#..##.##....###.######.#######..##.##.##.#.#.##.###.########......#.#..##..#.#.#########.##...##.#....#.#...#...#.#.#######.....###..#.####...##...#....##..#...#...##...##.##.##.#.########...#.....##....######.##.#.#.##.###..#.#.###.###.#####.#.........###.##.#......##...#####..#.######.#.#.#.######.##.##.##.#.###########.##..#.#....#####.#.#####..##.###########.##....##.#....#.##.####..#..##.#
#.#...###.##.#.##.........###.##....###.##.######.####.#.###...########.#####.##.##.#.#####.#.#.###..#.##.#.........##.#####.#..###.###.##..####............#..#.#.###########.#......#.##.##.......#.##.###.....#######.###########.#.#####.###.......#.##.#....#..#.#.#..#.....#..###.#...######.###.##.#####.##.#.#.#.#.#####..#..##......##.####.#.#.....#.#.##.#.####....#####.#.##...###########.##....#.#..........###.###..........#.#...#...........##..##.####..#####........#####...#.#.##.#.........####.###.##..#..####....#...#####...##.##.....#.#.#......#....##########.....##..##.#...##.#.##.##.###..#.#######.##.#####.......###.#..########.#####..#.##.#....#######.##..#..####..#.#.......##.#.#.##.######....###..#######....####.#.......#..##.#######.#####.#......#######.###.#.####......#######.....##.##..#................#.###...#.##.....###.....##.##..#..#.##.##..####......##.###.....#######..#
#...#.#...##.#.#..#######......######.###...##....#....#.#...#.#........##....###########...#.#.##..##.#....#.###.#.##.#.....##..##.###..#####...##.##.##.####.#.####..####..#####.##.#.##.###.##############.##..##...####....#.....#...#...#.###.#.#.#..###.#.###.###.#.######.##..######.#.##....##.##....##..#.#.#.###..#..##.##..#####.######.....###.#......#........#.###.##.########.##..#...#.###.###...##.##.####...#.##.#####.#.#.#########.#.#.#..##.##....##....##.###.##.....#####.#......##.#.####.####.#..##...##.##.####.####.#..###.....#.###.####.#.###.##..........#####..#######.#.......####...##.#.....#.###.....##.####.###..##...##.##......##.#..#.#.#.##.###.#..##.#.###.#.##.#####.#..#.###.##.....##.#.##.##..#.#.##.##....####.##.####.....#...##.##.##.##.#.#....#.#...##.#.#.###.#.#....#.#########..##.#.###.#.#.##.#######.#####..##.#####..#.##########.##..#..##..##..#.#.########.##......##.##
##.######.##...##.#...#...##.###.##.#.###.############.#.##.####.#.#.#.##..#.##.........#.#.#.####.##..##.#.###...#..#.#####.##.##..#...####.#####..##..####...#....##....##.##.#######.#...####...#.##.#.....#######.##..####.##.##.###.###...#.#.#####.##...#.##....###..####.....##.#.#..#....#.##..#..##..#.##.#.######...###..##.....#....#...#.#...###.####...##.#.######...#####....#..##.#.###.....###.#######....##.##......#####.#..###.######.####..#..##.#..#.##..#########.##..######.###.###.#...##.#.##.##....#.....#....#..#.#.##..#..#.#.#...###....#...###..#####.##....##.####.######.#.#.####..####.#.#.#....###.####.....#...##..#.#.......#.##..#.#.##.###........####..#.....####.....###.##...#.##.###.#######..####......#####.##....#....##.####.####........#.#.#.####...#.#........##########.........##.######...###..#.#.#.###.#########.....#.##....##.......##...##..####.######.##.####..#.#.######
##.#..##...###.######...#.#..#............###..........#.#..#....#.#.#.###.#..##.##.###...#.#.#....########.#...#.#.##.###...#####.####.#.......#..#######.###.########.#............######.#.####......#######.##.#...##.#....#..#..#.......#.....##.....###.#####.####..##....###.#..#.##.##.#.#..#####..#.##..#.#......#.#...#.####.#####.#...#####.#...#...##.#..#.#.##.#.#.#####.#.####.##....###.#.#...........#.#.###.#..##.#...######..........#...######.##.#.##.###........######......#.##....#######..#.##.##.####.###...####.##...##.##.######.#...##.#.#.#...##..#######.#######......##.#.###....##....###.#.##.###.#.#.####.#.###.##.#####.###.#####.####.########.##.#######.#.#.#....#.###...########.##...#....##...###...##.#.....######.##.#.##..........##.#.#########......###...##.#.####.#.##..#.###.###..#...#..###...######.#.#.#.........#.##.##..#.#.###.#.#.#....#.#..###.#..#.#.#.......####.#......#
#....##..###........##.#####.###.##.###.###...########.#########.#.#.###...#.######.#...###.#####.##.....#..##.##.#..###...#.#.....#.##.##.####.#####.##.#..#.........#.#.###.#.#.##.#.#.#.....#...##.#.....##.....###.##.####...########.#.###.#####.#.#.######.#.....#.#####.##...##......##.#.##...##..##..##.#.#.###.######.#...##.....#.###.....#.#.#.#.######.####........................##...#.####.#.########.####....###.#.#....#.##.#.####.##.#...###..##.#..#..##.######...##...#.####.###.####.##.##.#..........#...#.#..#.#..#.#.##.....##..###.#.##.#.#.##.####.......#.........#.##....############.#####.#.##.....#....#####.##..##....########.#.###.#........####...##...#.#.###.#.##..####......#####..#.##.####.###.#.######.######.#.##########.###.##################.####..##.###..####........##..#######.#.#...##...####.##........###.############.#####...###.#.#.##...##.#.##.......###.#....###.###.##
###.####.#.##.#.##.##...##.#################.##........##........#.#.#####.####.....#.#.#....##....#####...##..##.#.##...#.#.#.#.###.#..#..#....###......##.##.##.##.######...######.....###.#...#.#..#.#.#..#####.##..#....###.###...#######.###...#.#####.##.....##.####.#.############.###..#..##.####.##.###.#.#..##.....###########.#######.#.###.#####.....##....#.#.#.##.###.#.#.###.##.##..#....#.###.......#####.#.####.#.#.######.##.#....#..#######.####..#.######......#.######.#...####....#.#.........##.#.##.###########...##.###..###....#########.#.#.##....#.############.##########..##......##......#.#.##.#.#.##.#....####..###.##................#.#.##.#....#.#....###.#...#.#####....#.##.#.....#.##.##.............#.######.#.#.#..........#.######...##.#....#.#.#...###..#...##......##.#.####.##.#...###.##.#######.#.....#.###.#######.#.#....##...##..#..#############....##.#.##.###############.####
#....#.#.#.#######.#..#.#..#...###...........##.##.###..#######.####.#.....##...##.##.#.##.##########.###.##..#########.##.#######.....##.#####.....#.##........######.#.##.#.##.#.#####..####.#.####.#.#.##........##.#.####.###.###.#.#......####.#.#........###.##..##....###.####.......##.#.##.....###....#.###.####.##.......##.#####.##.#######....##.###..###.####.#..#####.#####.########.#.##.....#####.###.##.........#.#.........#.##.#######.###.....####......#.#.#.##..#.###.#.#...###.#.#.#.##.##.####.####.#.....#.#.#.####...##.#.######...#.#.########.#.##..###.......#.#.#.##.####..#.####.####.#.##.#..#.#.#..#.##.#....##...#.##.####################..#.######.#.####.#.#.#..##...##.#..#.##.##.#.##..##.####.#.#.#................##.#.##.##...##.#.####...##.....#.#..##.###.#####.#.########.#......##########.#.#.....##.##..##..#.##.#.#.#.####..###..#####.#####.#####.#######..####..#.#.###.##...#.#
##.#.........#.##....#####...#...##.#######.##..#..##..####.....##...###.######.##.#..####.#...###.#.......##..#.#.#.....####.########.##.#...##.##.#.#..##.#.#...#.#.......####.....####......#.##...#.#.#########......##.#.............#.##...##.########.#####.##.##..##..........#.#.#.##.#####.####...#.##.#.....##..#####.###....#......##....#######.#.######...##.##.....####.#...#..#.####..#.#.#########....#.##.########.#######.#..####..........#######..#.#.############.#.######.##.###......#.##....###......#####......#.#.###...........###...##.#...#.#####.....#.##.##...........##......#....#####..##.#.#.#.##.##.####..#####.##......##............##.#.###.#######.#######.####.##..######...#####..##..############.#.####.#.#.##############...........####.###.###.##..##......#.#......#.....#.##......#.###.#.##.#########..##....#.#........#####..##.###..#.#.............###....##............###.#
#..####.##.#...#..#####....#.###.##.##.......#####..##.##...##.####.####.##.#...##.#.##..#####.......#.##.##..##.....##.####...#.##.....#.###....#..#.##.####.#.#.#.###.######.#####......##.#.#..#########.........##.#.#..#.#.##.#.#.#########.#...#.#.....#.....##..##.#..#.#.#.##.#.#.#.#..##.......##.##.#####.####..######...#.##...##.#....######.##.........########..#.#........###.##.#.##.####...#....#..#.##.#####.....#..###.#####.##...#.####.#...#.#.########.#...#..#.#....#...####.....#.####..#.##.########.......##.#.......#.############..####.#.#########.##.##.##..####.####.#.####.#####.#.....##..#.#.#.#######....##.....####.#.##....###.#.#.####..#......##.#.#.......#...##.###......##.###.#######.....#.#....###....#####....##.#.##.#####.##.###.##..#...#####..##.###.#.###.#.##.#...###############.#.#.#.#...##.###.######.#.....###.####.#.##......##.#.#.###.#########.#######.#########.##...#
#####....#####...##...##########..###..###.###.#...##..#..#.#....####....#....#..#######.##.##.#.########.###..###.#.##.#....#......##.####.##.#.##.#.#...##..#.#.#...#.#.#.....#....####.####.####.##.#.#..##.##.######.##.##############.........#.#.########.##..#.##..##.#.#.#.####.#.####..##.#.##.##.##...##.....##......#.#....##.#####.##....#....##.#.########.#.##.####.####.#..##.......###..#.#...####.#####.....#.###.####.#....##....#.#....#.#.#.........#.##...###.##.#.####.####.##.##.#....#.##..#.#.##...##.##.#.####.#.#.#.......##.#.#.##.###.......#..##...####.###############....#.....###.#.###..##.#.#...#.#.###.######.###.#.#.##.##.#######..####.##.###........##.#.##.###....###.#.##............###.#.....##...#.#.###..#.#.##....#......#.##..##....##.####..####....###...###.##.#.#.......#.#.###.#.#.#.#...#.#.........#.#######...#.#..#......#.####........#####.#.###.###............##.##.###
#.##..##.##.#..#.####...#.#.##.#.#########.##....#.###.##.#.#.#.##....#.###.####...###....#....###.........##.#############.#####.#.##.#.#.....####.#.#####..##.####.####.#####...##.##....########..#.....#####..#.........###...#.#......##.#.##.#............##.##..##.#..#.#.#.#.##.#....##.#..#.#...#.##.#.###.####..#.####.#.#.##.....##..#.##...##.##.#####.........#.#.####.#####....###.#..##.####.#....#...#...#####...####...#.######.#.#.#.#########.#.##.#....###...#.........#......####..#.##.#.#..##......####.######.#..#####.#.#.#.............#.#####...##..#....#...............##.#######..##.#..###..#####.#......##..#...#.....###..#.#....##.#####.##.##...###.#.#.##########.##.#...#.#.###.###.##.#.##...##############.....##.#....##...#.########.##.#.###.#....#####.##..##.#...#..#.#.#.#####...........#.#...#.#.#.###.###.........########.#.###.#####.#.####.#.................##.#.##.##.##......#
#.#####..#....####.####.#...#..............#####.#.#...##.#.#.#.###.#.###.####.#####.####.##########.##.#.##..##..#.#.##.########.#.####.#####.##...######..######.#.#.#...#....#..######.##......##.#.#.###.##..###.##.#.#...###.....###.###########.#.#####.#.##.##.###.#.######.#....#.#.#####.##.##.#######.#.....##.##....###.#..##.########..########......####.##.#####.#.##.#.#.#.#.#########....#########.###.####....#..#.#.###......#.#.#.#......######.#####.#.....###.#.#.#.###.#.####..####.####.#.####.#.####.###......##....##.###.#.#.###########.....#.#..##.#.#.##.#.#.#######.#..#......###.##.##...#####..#.##.#.#..##...###.#.###########.###.....##.####..#####.#.#......#.##..##.##.####.#....#######..#.#.........##...###.######.###########.#.##.#.##.#.#.###.####...#.##.###.#.#.#.######.#####.###########...#######...#...#.#.#####....#.#.#....####.##..#....#.#.#.#.########.#######..#..#####.##.##
#.#.###.###.####..........#...#.#.##.#.#.#..###..#####.##.###.###...#..##.....................##.#...####.###.###.#.#.##.#.#.#....###.#...##...#..#..##....##..#.....#.###.###.##.##.......##.#.#....######.....##.##########.#.#########.#....##..####.#.....#.#######...###......#.##.#.#..##....#.#...##...####.#.#####..#.##...##..#........##........###.####.....###.##..#..#.....###.##..#.....####.##....#...#......#.#####.......###.##.#.######.#.#.#.##...#.###.###.....#.###.....#..##..####....####...##.#......###.#######.#.##....#.#.#.....##..###.#####.##..#.#####..#.#.......#.##.########.####..#.#.......#####.#.#.###.#..#######...###..#.....######.#.###.....###.#.##.#...##.###.##.#.#####.###.#.###.##.#.#.#.###....#.###....##......##...........######..........##.####....#.###.#....##......####.#..##.###.##.##.#..###.#########.######.....#.##....##.##.##########........#####...##.##.....###...#
#.......#....##..#.########.#.#.#.#..#.#.####.##.##....##.#....###.##.##..####.##.###.####.##......#..#####...#................#####....#....#.##.#.####.#####.#####...........#...###.#.###..######.##.#.#####.#................##.###.######....##.#..#.###.#..###....##########.####.#.#.###.#.####.#....#.#....#.....##.#.##.#.##.#######.#.##.########........###..#...##.#.##.#######....##.#.###.#..####.##.###.########.#...#######.######......#####.#..###....##...#.##.#########.#######.##.##.#.#.#######.#.#.##.....##....#.#..##.#.#.###.##.###.##.#.#####.########.#####.######.#####.......##....#.##.#.#.#.#.....#####...#.##..##.#.###...##.#.###....##......##.##..##.#.######......####...#.#.#.###.....##########...#.#.####.#.#.####.###....###.####.####.#..##.#.#.####....#.#.######.#.##..##.######.....###.#.#.##..#.#.#######.##...#........#.#.####.####.......#.#.#.#####.###.......################.##
###.##.###.#.#######........###.###.########......#.#.#######.##...#...##.#....##.#####.....##.###.##....##.######.#.#######.#..##...#.####.##.#..#...####...#.#.#########.##.###.###..#.##..###.###.#..........##.#.###########.##.#....##.#..##......##.#...#.##.####.##.........#....#.#.#...#...####.#.#####.###.#.#..#.#.##.#.##.......###.#.....###.###.#.##...##...#...........#.#.####....####....##.#..#........#........#...##.....##..####.#..#.##...#####.###..########.#....####.###......##.#......##...#.#..#.#.#....#.####.##..#.#..#####..#...........#...........#.##......#...#.#######....##.#.##.#####.#.#.#....###.##.###.#........#....#..##.##....#######.##########.#.###.#.###..#.#.....#...#.###.....#.#####.####.#.##.#####.##.##..#.###...######.#.##.######...#..##.#.#......#.#..#.##.......#.##.##.#.#....#.##.#.##.##....##.##.######.#.#..#.#..#.##.######......####...#.#########.##.#####...#..#
#...#..##..###.##.#..##.#.#..######..##......##.#.###...##.#..#..#.##.######.#.##.#.....#.#.#..#...#..##..###...#########....######.##.#....#..##.#####.####...............##.##..#.#.##.#..###........#.####.#..###.#.......#.#.#....##......#####.##.##.###.#......##.##.#.#.##.###.#.#.#.###.##.##.##.#..##....##.#.##.#.#.##.###..###.#...#####.#.#....##.#####.##########.####.#........#######.##.####.##...#.##.#...############..##.##..###.####......#.....#..###....#..##.#.####.#....##.############.##..#.#.#.####.#.#.####.######.####.....#.##.###.##.####.#.##.#.##...##.#.##.#.#.........#.#.#####..#..#.####.#.##.#...####.#.....#.###.##.#.#####...##.########..........##.....########.#######.#.#.....#.###....#.##...##.#.##..#.##.####..##...#####.##.#....#......#.#...########.#.###.#.######.####....#....#.#.##.........#....#####.##......########.#.##.#....#.##.######..##.####.#.#......#.......######
#.#.##..##.##.......###.###.##......######.####.####..#.#....###.###..#..#...###..#.#.#.######.###.##..#.######...........##.##......#.##.#######.#........##.#.#.##.##.##.#...##.#....#.#.##.#######.##########.###########.......######.##.##.....##.######.#.#.#.######.###.##.#...#.###.##...###.....##..##.#..#.####.#.#..#...##...###.#..##.#####.#####...##.......#..##...##.#.#########.##.#..#....#.#..#.#..#######....##.####.#######.#....#.####.####.#.#####.#.#.##.##.......#.#.####....#.#.#....#.#####.#.#.#.####.###.##.....##....###.#.#......#.##.#.####..#.#..#.#..########.#.#.##.#.##.####.##.###......###..###.#....###.##.##..##.####.....#########.....##.#.##.##.#..#.#.....#..#......##.#.#.##.##...##.#....#.#..###..#.##..#.#..##.##.###.##...#...##.#.#.##.#.#.#.#.##.#.###...###....##...##..#.###.#.....#########.##.#.####......#######.#.#.#........#.##...........###.#.##.#...#.####.########.###
#####..##..#..#.#.#.##..#...#####.#.#..#.#.#.....##..####.##.#.....##.##...#...####.#.#..#.#.#######..##.#...###.#.##.#.#.#..#######.#######......####.##.#####.###..#..##.##.##..##.#.#.#.#....#####.#......#.###.##........#.#.#.###.#########.#######.#....#.#.#..##....##..##.###.#.#....#.#.####.##..#####.#.##.##.#.####.#.#.##.#..##.##..#.##.##.#...#.#..###.#.#...####.###.#......#.#...#.#.##.####...####.###.##.#.####.....#..#.#.#....#.##.##.###.######.#...###..#..##.######........#.##.....####.....###.#......#........#######.#..##.#.##.#######....#.#####.#.##.#.###.#..#########.#..#.......#.#.#.#.######.######.##..####...####.....##.####.##.##...##.#####.#######.##########.##.#######.#.#..#..##.##..#.#.##.##...##......##...##..##......#.###.#################...##.....#.#..##.#.####.####.#...###.#.#..###....#.#..#....###.####.#...........##.#.#.#....#.##.#.####.#........#####.##..#.#.......#
#.....##..#########..##.###..##...#.##.....#.#.#.###..##..#..###.#..######.##.##....#.#.##........###.####.#..######..######.#.......##......##.########..##.##.##..###.##.######.#..###.######.#...#.####.#.#.##...##########.#.###.#..###.#.....##.##....#.##.#.#.######.#..##..#...#.###.####...##..##..###..#..#....#####..#.#.##.##.##.###...........#.########.#.##.##..#...#####.####...###.#.....##..###.##.#...........#.#####.##.....#.#####.#...#....#.#..#.########.##.........####.###....######.#####.###.##.##.######.#.###.#######.##.#.##.......##.#......#########.......##.#.....####.#.#########.#####.##.####..######..#####..#####.######........##.#####.#####.#.##....#.###.#........##.######.#.##..##.##.#.####..####.####....#####.##.#.##..................#.#.####....#.########..#...####..#.##.######.##.....#.####.#######..........#.#######.##.#.#.#.#.#########....####.##.###.##.##.##...#######
#####..#####........#####...##..#.#.##.#.#.#.###...#.#######.##..#.##......#..###.#.#.#.##.#.##.#.#......####.#.#.##.##....#.#.##.##..#####.#####......##.......##.##....#.#......########........#.########...#..#....#.......#.#.....##.#...##.##.....##.###..###.#########.###.##.##.#....##..#.##.####.#.####.###.#...#.##.#.#.##..#.##...##.#.#.#.#.#####.#...######....###.###..#....###.#.#.#.######.##...####.#####.##.##.##.#.....#######.##....###.#.##.#.##.#.#..##...#.#######...############.##....#####....######.#########...##...######..##.#.#.#####.######.....######.##......#.#....###......#.#....###....##.#.##.##.#.##.....##.###..##.##.########..#.###...##.......##.....#.#.########...#.#.###.#####...###....##..##.....####...##..##.#..#.#.##.#############.#...##.#.##..#.#.###.###.##.###.#..#.....##.##.##.##.#.##...###...#.###.#######.##.#..#####.#.#........##.#############...........#..###.##
#.....##.....########.##..#.##.##.#.##.#.#.#.##..#.#..##......##.####.###.###.#...#.#############.###.######....#.....##.#...##########.#.#.#...#####.#####.###.##..###.####.###.##.##.#########.##..##......#...###.#...##.##.#.#.###......#.#..####.#.##.####.##...##...#.#.#...#..##.#.#.####.#..#.#.##.#..##..##..#.###.######..##.########..#.#.###.#.#.#...####.##..####.#.....####.##............#.#..#.###.##.#.#########.#....###...#.##...##.###.#.####.#..#.....##..#....#....###....#.##.........####.####.#...#.##.....#.#.#.###..####..##.##..######.##........#####...##.###.#.######.#..####.####.#.####.#.#####.......#.########.##.#.####..........####.....###....#####..#######.#.......#..###....##....###.##...#.####....#.#....##.###.##..#.##.###....#.##.####.#.#.#########.##.#...###.####.....#.##.##.###.##..#..#......#...##.##...#...#.#.#....#####..######.#######.....#...##.#.##.######.#.#.##.#..#
#####..##.#.##.#......#..##.#..##.###..#.#.###..##.#.#######.######.####...##.###.#.#..........#........##.####.###.######.####.##.##.#.#.####.##.##...#.########..###..#.#...##.#..#..#.#...##..#..#######.##.#########.##.#..#.######.#.#.#.#.##....#.##...##.##.#..###.#...#.#.#.#####.#.#.#..#.##.#......###.####.#..........##.##......####.#.#..##.......#......########.###.#....####.#.#.###.#.##.#.##.#................#.#.##..####......#.##.#......#.#.#.##.#####..#####...######.####.##.#########.##.#.####.#....#.###.........##.#.#..#######.###..#..##.#.#.#.......###....#.####.##..#.##.#...#.......##.#.#.....#.#.#...##..##.........##..#.#.##.#.#.#..##.###..####...######.#.#.#.#######.###..##..#.####.######.#.#..##.###.#.#######.#..##.#..#..##.##................#.##.#.###....#..#..###..###.####.##...#..#.###.#.#.##.###.....#####.#.......#.###.#..###.#.#####.#.#.###...#..#..........######......##
###.#########....#.##...######.#..####.#.#.##..###.#####.######.##..##.##.##..##..#.##.#######.####.#.###.......#.#..#.######.#.#..........#.#.#.....#........###.##.##.#.#########.##...###..#.###..##..####....##.##.#..####.#.#......#.#.#########.#.#..####..###.##.....#.#.#.####.####...#.##.##.#####.##.###.##.##.#.#.#####..#..######..#.#.#.####.#.#####.#####.###..#.###.##.#..#...###...###...........##.####.#.######....##...############...###.##.........#..#.##...######.#.#####..##.......###.#.......#.#.##...##..##########.....##.###.....##...##..###########...#.#.##...#...######..#.#...#####........#############..###.#.##.##....##.#..###...#.#####.##......#.####.....................####.#...........###.#.##....#.#.........#######.##.##...#.#.###.#.#.##.###........#.#######.##.##.#######..#..###.##...#.#.#.#####..#.#....##.#.#.##.##.......##.................#.#.##...####.#.#......#.#######
#...####.#.##.##.######.....#####.#....###.##.###..##.#..........##.#.....##.##..##..####.........#.###.#####.#.....##.#.##.....####.#####.......#.#.########...####.####..##.#.#.#.#..#...##....###..#.##....####.......##....#.#.#.##.#.#.##.#......#.##....####...##.##.####.####........#.#..#.#..##.........#..#.#..#.#.....#.###........######.##...#.....#.........##.#...###..##...#...#.#...##.#.##.##.##...##..#####.#..##..#.#...##.#.#.##..#####....#########.##.####..#.#......##.#.##..###.#.#.....###.###.#####.####.........#..#####....#.#.#....#####...##......##.######..#...#........##.##.###.###.#.###.###.##.#.##.##...###..#..##.#######...#.#.......#.#..###.##....###.####.########.#.####.###.#.###.#.#####....##.###.############...##..#..##.##.#..######.##.....########.#.#.#.#.##.##.......#.###..##.###.##.###.....##.#.#.#######.#######.#.###....##.########.#.#.#.####.#..##..#.#####.##.....#.#
###.#....#.#..##.#......#.###.#.###.##.#...##.##..##....##.#.#.#......###.######..##.##.######.##...###..#.######.#.#....##.###......#...#.#.##.##.#.##.......#........###..........##.###.##.##..###....#############.#.###########.##.#.#.##.##.###.#.#..####..###..#.#...##..#....#.####.#.####.#######.#.#####.#####.#########.#...##.###......#..###.#######.#.#.#.#..#...#..###..##.####.###.#..#.#.#...#.####.###..#......######.###...........####.##.#.........#.#...#.##...#.#######.#..#.########.###############.###.###.########.######.####.###.##....##.#....#.#.###......#.###.##############........#####........#.........#####.###.#......#.##.####.###.###.#.#######.##........#........#.#....#.##..#..#######..##.#.##.##...........#.#.###..##.###..#.##......#..#.#.#........#............#..##.#.##.#.##.##..##.####...#.#..#.#.#.......#.......#.#.##############.############.########.###########.##...#
#.....##.....#####.#.#.##.##..#.....##.##.######.####.#..###.#.###.##.#...#.#.########.....#.#.#..#.#.##.#..##.##.#.##.#..###...#.#.####...#.#####.#.####.#.#.#.######.#.##.##.#.##..#####.########.####..###..........###.####.#.#...#.#####.....#...#.##....##.###.##.##.###.###.#.########.####.#.......#.........#.#..#.#########.##...##.##.#.##.#........##.#.#.####...#.#.##.#####....#..#######.####.##...##...##...#.##..#...######.#.##.#.#.......#.##.##.#####.#.###.#..#...#.##..#.#.##.....#.#.........##.....#...#..##......###...........#..##..####..##########...#.##.#.#.##...............##.##.##..######.#.####.#####.#...#.#...#.##.#.###.#####....##.......##.##.#####.##.#.##.##.#.#####.####.###.#.##.#.#...###.#..#.###.##.##.##......#####..##..##.##.#.#.#####.#.##########.########.#...##########....##.###...###.####.####.#.##.##.#.#######.#....####.##........#.#...#.#.....##.###......#.#########
##.##.####.#.##....#.####..##...##.###.#..##.#.....#######...###....#######.#.#.#.#.#..###.....#.####....#.##.....#######..#..#.##########.#..##...###....#.#.#.#............#######.##.....##.#.......#.##.##########.##...........#.###.....###.#.#.###..#.###.#.#..###..##...##.#.#...........#####.##.###.#.##.#...##........##....##.##...##########.##.#..#.###..##..#####........###.###.......#..#.###..#.##.###..#.#####...#####.##.####.###.###.#.#..#..#...............##.#....##...#....#.#.....#.#.#.#....#####.#...####.#.#...#.#.#.###.####.#########..........##########.#..#.##.#######.############..#.###.#.##.......###.#...#.#.#.##.#.........#.##.########..#.#......#.##.#.##..###.....#........###........#.#.########....########.#.#..#.###.###.##..#.#####.###.#.....#.#.##.#..##.####.#.##.#.#...###.##..##..#..####.#.....#.#..####.#...#.#####.##.........#.#.##...#.###.#.#####....##.#####.#.#.#####
#...#.#....#.##.##.####...##..#.#....#.##.#..###.###.#.##..#.####.#.##................##...###.#.##...##......##.##...#.##...##.###..#.....####..#.##..##.#.#######.##.##.#.######...######.##.#######...##..##.####...##.#.##.##.#.#..#####.##...#.#.#...##.##......###..####.##..####.##.#.#.#..#.#####.#.#####..#.#.##.##.#.#..##.#######.#..#######...##.#.##...#.####.....#.##.#.#...#...####.#####.....######....#.##....##.#..##.#..####.#####...######.#.##.#.##.###.#.#.######.#....#...#.#######.###########.....#.#####..######.##.##############.##....#.###########.......#.##.#.##.......###.#.##.....##.....###....#.##.#######.#########.##.#.#.####.##........##.....#########.#..##..##.#.###.#########..#####.##....#.##.###.#........######....##..##.##.##..#.#....#.##.##...#.##...###.#.####........###....##..##.##......#.#.#########.#####.......####.#.##.######..#####.#.#....##.#.#####....##.........#
##.#######.#..###..##...#.###.###.#.########.#.#.#........####..#.###########.#####.#.###.##...#.######..###.##..####.#.###.#####.##...#.###....##..##.##.###.......##..#.#.##.#...#..##...............#....##.......#.#########..#.#.##.....##.#.#.#.#.######..##.#...##.##.#####.##.###..#.#.#.##.............##.#.#..#..#.#.#.##........#.##..#.##...#.##.##########.##.#############.##.#....#.....#.#######.##.#.##############..#...###....##.######.#.###..#.#..#...#####.#....#.#.##.##.####.#.###......######.#.###..#.###..#.######.........#.#.##..#.######.#.##.#.#..################.#######.......##.##..#########.####.....##.#..##.##....##.#.#....#####.#.#.#..#.###...#.....######..##..#...#..#......##.....#########.#....#####.#.######..#.#.##..###.##..##.....####..#..#.###.#..####.......#.##.###..####.##..##...###.##.#.#.##.#.#.#...#.###.##.#....###..#......##..####.#.#.####....###.##.###..##.######
#...##.#...##.####.#..#.#.#.#.#...###.##.##..#.#####.#.##.#.###...###.####.############....##.##..##....##...###.#.......#####.....##.####...##.#####..#..#...#.#####..######....####..####.#############.#....###.#.###.#.##.#..##.########..#.###.#.#....##..###.#.###..##.###...#..#...##.#.#..###.##.##.#.####.#.#.###.#########.#######..##....#####..#.............#.###.###.#.#.####.#.##.#.#.###..........###...#......#.#.##...###...##.............##..####.########.....########...#..........##.#####.#..#.#..#..##.#.##....#.#.#.#########....##.....#.#...........##.##.#.#.....##..........####.##...##........##.####.#.#....##.....#######.####.#....##.###.#.##..####...######...##.#####.#.##...#.##..##.######.#.......##.##.####...##.##.###..#####..##.###.######.####.####.....##....#.#.#.#..#...##...##..##..##.#########.#..........#.....#..#.####...##.##.###..##.............#.#.##.#.##.#.#.########.#
##.##....#.#..#....##.#.#.#...#######.#...##...###.#.######...##.##..................####.##..##.##..#.##..#.#...##.###.##.#.###.#..###.#..#..#.#.####.##.#.#.###########..########.##..##..###......##...#.##.#...#.#......#...##..###.#....##.##..####.#####.##..#..###......###.##...#..#.#.##.##..##.##.####.#.###...#..#.#####........#.##..##....##.##.#.##.#.##.###.......#........###.##.###...#.#.#.#.##...#####.####...#.#..#..##.#####.####.##.#.#########........##.##.....##...#####.#.#.#####.###.#...#######.##..#....#.##.....#.####..#.#####.#####.#.#####.#.#..#....#.#.###.##.#.#.#.##..########..##.##.##..#..#.#####.#.##..#.#.......#....###.##.#...##.#.###...##.#........#.#.....##.#####.##..#.##.....#.#.##.#########.....#.#........#####.#.####....#.#####...#####.#..###....#.##.#.####.#.################......#.##..#.###.###.##.#.#########.#.#..###....#.####.#.#.#.###.##.####.#.##........##....#
#..#####.#.#.#####.##.###.###.##....#...###..#.......##.....##############.#########.......##.##..##.#..##.#.#.######....#.......##.......#######...#####.#.###.........##....#...#.###.#..##.##.#.#..#.###.######.#.######.##.######.#.###.##...##..#.#..##...###.##..##.#.#.##....###.##.#.#.##..##..#.#.......#..####.##....#.#..#.#.####..##.#######...#.#..#####....##.#.####.####.#######....#.###.#.#.######.####...#######...###.....#.#######..#.#..##..##.##########..####.#..#.#..#.#..#######.###.#...###.#..##..##...#.##....###......#.##.....#.............######...####....####..#####.#####.##.#.#####.##.#..###....#.####..##.#.#.####.###.####...####.###.#..##.#..#.#######################.####.######.####............##..########.#.###...#.#....####.#.#.......###.##....######.#######..#.###...#.#.#..#.#.##..##.#....####..###########.##.##.#.#.####..##.#######...#.###...####..#.#......##.###..##.###
####.##..###.#......#.#...##..##.##...#.....#######.##..###.#.#.#.#...##.#####....######.###...####..####..#.#.##.#...##...#.#.#####.##.#..##.....#.......#.#####.#.###.#####...#....#....##...###.##...##..#......###......####.#.#........##.####.##...#####.#...#..##..###.#######...##.###.#..##..#####.##.#.##....#.##.##...##.#.#....#####.......##.##.#.###..##.###..#...#.....#...#.###.#.##.#######.##...#......#.....#.#########.#...#.#...####.##..#.###.....#....##..########.#.##.##..#.......##...###.#...###.###.######.#.####.#.##......#.#...#####.##.#####...#.####.#.####..#####..#................#######.#.#.##......###########.#####...##..#####....###.###.#.##....######.#.##.##.###.#....####...#......###.###.#####.####.##.#.#..##.#.....#.##.####.##.##.#........#####...#.......##...#####.......##...##.##..##.###.###..........##............#.####........##.#####..####.#.##...##.#.##########...#
####....##...####.#.#####.###..#####.##.#.#.#.########.###..#.#.#.###.....##.###.##.####.##..#.##########.####.##.###.###.####..##...##.##.####.#.#.#.#.#.###.....#.###.#.####.#####...##.####..######.#########.#.##..####.#.#......##.##.##..##...##.#..##...##.#######..##.#.......#..#..#####.###.##.....######.######..##.#.####.##.#####.##.#.####...#.#...#.##....####.#...#######.....#.#.#.....#.##....###.#.##########.#....#.####.#.#...#####..#####.....#####.######...##.###.#.....##...##.##....#.....#.###.#.#......#.#.#....#.#..#.##.#.#.#.#.###########.#..#.#..#.#.#...##.##.#...######.###.#########.##.....#.####.#####...#.#.#....#.#######.....##.#..##.#.#.#.####.##........#...........##..#.###.#.##.#...#..##...............#######.#.#.#.###....##.##..###.##.#.#.......#.#.#.#.######.....#.#.#.#....###...##..#.......#.###.####..#.#.##.#.#.#.#....###.######...##.##...........#..#.#...##.......###
#....#.#######.##.#####...#...####...##.#.###......#.###.##...........#.#.................##.#.#..#.....########...####....####.####.##.#..#....#.#.#.#.#############.....#.####.##..#.#..#..##.#.##.....###.#####.#..#####.....####..#.##.#..####.###.#.#####.#######....###.##.#.##.#.##.##......##.#####.######......##.##..###....####.#.#.#..#....#.#######....#.##....####.##.##.#####.####.##.##....#.#.#########..#.#.##.#.####...######.####..####.#.#.###...#.....#.####......#.#.#.#.###.######.#.###.##...........##.###.####.#.#############.#.#......#........#####.......#.........#......#...#.......##...#.#.#.#...######.#.###.....##......##.###.####.#.###...#####.##....#.####...##.###.##.#####.##..###..#.####..#####.####.#.#.##.....#.#.#.#..##.####...##..#######.##.#.#.##.#.#.#.....###.##########.##...#.#..##.###.#.###.###...##.##.#..#.#.#.#...##..##.....##.#.....#.##.##.#.####.###.#....#.###...#
##.#.#..##.........##...#.######.######.#.#...#.##....#..###.##.#.##.##.#.#.##.###.#.#.#.##..####.#####.##.#..####.#.####.##.....##...###.##.##.#.#.#######.#....#.#..###.#.#.......##.#.###.......###.###...#.######.#.....#.#..##..##.##.##....###...#.#.....#.#.#.###.##....#####..#.##..##.#.#..###.#....#.#.###.#.##...##..##.##.#.#......#.#######..#.#.####.#####.#.####............#...####..##.#.####....##...##.............###.#.#.##.##.#.####........###...#.###.#.#############.#.#....#.#.######..##.#.####.#.##..##...#.######....#....##.#.######...###.##########.#####.###.#.#####.##.#.#.#.##.####..###.#.#.#.###.##.#.#.....###.##.#.#####.##.....#.###.#.#.......##.#.#######.#..#######....###..##..##.##.##.##.....#....#########.##.###.####..#.#.###.####......##..#.#.#.####.#.#.#.#..######....#######.#####.#...##.#...#...#.####..#.#.##.#.#.##.####..##.#.#####.#.###.##.##.#.##.#######.#########.##
#..#.##.##.#.##.#.####.####.##.#..###.###############.##.#.#..######.######.#..#...#.###..##.#..#.###........##.#.....#######.#.####.##....###..#######.....####.#.####...#.##.###.##..#.#.#.#####.....#...#...#.##.#.##.#######..##..#..#.###.#..###.########.#..........#.#.###.#..##..##..###.#.##...##.#.......########..#.##..#......##.#.#.#.#...##.......##.#.#.###....##.##.###.##.#.#...##.##..#...##.##....####.#######.#.#..#..............##.##.#########.###.....#...##.###.#.##.####.#.#....#.#.##.##.########..##....#.#......#.####.#######......#.#########.#.#.#################.####..#.#.#.##....#.########.#............###...#..#.#.##.....#.#####..#..#.##.#.##..#.#.......####.......##.###.#.##..######.....#####.#.##..#.#.#.##..#...#..#.#.##.....####.##.######.##.###...##.#.#.#.##...##.#.####.##.##.#.#.#.#.#..###.#.#########..###########.##.##.#####.#.#.###.#...#..####.#..........#...#....##.##
#.##.#...########..##..##........##....#.#.####..............###.#.#.#.#.####.###.##.#...######...#.########.#....###......#..#.##....##.####..###.##.#####.............#......##...######...##....#.#.#.#.###...#....#..#.......####.####..##.##.#.....##.....###.#.#.#.#######....####.#..##...#.##.#....#.##.##...##.#.#.##..##.#.##.#.##.#.#.....#..##.##.###.......##.##..#..##############.######.#.#..###..##..#.....#.#####.##...##############..##.#####.#.#########.#.###.........#..##..#...####....#.#.......###.##..######.######.#.##.#.##..#.#.####......#...............##...........###.#.#.###..##........##..###.#.##.###..######.####....##.##.....##...#####.#.##.####.##.#.###.#######..#..........###...#####.....#.#..##..........######.##...#..##.####...#......#.##...#.#.##.#.#.######........#......###.#.###.##...#.#......#..##...#.#.##.##..#........#.#.....#######.##....#.#######.####...####...#
#.#####.####......###.##..####.#....##........########.###.#.#.......#.....#####..##.##.##...####...#..........#.##...##.#...##.#####.##.###..##.......#.####.#.#.###.#.#.#.#.#######...##########.#########...#...##.##.##.#.##..##....##.###.######.######.#.##..#.###..##.#.##.#..#.#.#####.#.#..#.######.##..#.###....#..##.##.#.#..###..#.#.##.#########...#.#.#.####.#..###..#...........###.#.####.##...##..##...###.......######...........##.#.##..............##.####.#.#.####.#####.##.##.#......########.#####.#####.....##.#.##.#.........#.####....##.#.###.#.#.####.##.#....#.###.#.###.#####...##..##.##.######...#.###....##.#.##.###.#####..#..##.#.####.##.#.######.#.#######...........##########.##.#.#.####################.#.#.#.###.##.####.#...##...#.##.#######.#####.######..#.#......##.#.###...######......#####.######.#.#...#####........##.##.#.########.#.#.......#..##.#.#......##....#.#..##..#.#
#.#.#...#..#####.##.#####.#....#.#.##..######.#.#......##########.#.##.#.#.......##...#####.##..###...#.#.###.#######..####.###.#......###.###########.#..#################.#.#...#.###...###.####.#....#.###.###.##############.##..##.##.##...##.....##....###..#####..##.......#.##....##...###.####......##.##.....#####.##..#.#.##...##.###.#..#.#.....##.######....#.##...##...#.#######..##......#.##.####.###.#...##.###.####.##.#.###.#.####......#.#.########.....##........#####.####..##.#.##.#....##......##......##.#.###........#.##.##......#.#.##..#.....###############.##...###...#.....#.###..##...#.####...#.#..##.#.#####.#.........###########.##.........##............#.#####.###...#.#.#.####......#........###.#.###.#####.#..#......#.#####..#.#...........##.....#.#.#..####.##.#.#.#########.##.##.##.#####.#.#.....####.#.###########.##.##..#.#........################..#.##.#######.######..##.#.#
###.###.##..######...#..#####.##.##########.....######.#..####.#..#.#..######.######.##.....#..##...#.#####...#.#.###.###.....#.#.#.#.##...##............##.##.####..#.#.#..#.###.......#..........##.#.......#...#.#.............##.##..#.#..#####.#.####.#.#######....####.####.#..###.#####..##.#.#..###.##..##.#.#.....#..##.###.#..#.##.##..##.....#####.......#.#.##..##.####.##############.#########....#.#...#.###....#......##############..##.#.###......#####.###..#.##.#...#.#....##.##.#.####.##.####.#.###.##.#.##.#.....#.#.#.##.##..#.#.#.########.#.##.###.#...##....####..#.#####...#.#.#..##.####.##....###.###.##..#.##.#....#.###.###.##.#.##....###.#.#.#..####.##.##.###.....#...#####.#......#.##.#...####.#.........#.....#.##...##.#.....######.#.#.###.##.####.#.####...##########.#......#.##.....#.#..##.##...#######..#.#..#.##.....#.#..##.####.#.#######.#........#########....##..#...##.#########
#.......###.#..###.#...##.....#..##.......#####..#.....##..#.....##.##.#......#.......###.#...#####.#.##....#.#.......##..###.#.#.#.#.####....##########.##.#...#.##.#...#######..#.#.#.##########.##.####.##.##.##.#######.###.###..##.#####.##....##########.....####.#.####....##.##..#.#...##..#.##.#...###.##.####.#.###.##...#.##.#..#..####..#.#.....###.#########..##..##.....##.....##.#........#.#########.##...##.#.#.#.##...#.##.###...#.#####...#.##.#.....#.....##.##.#.#.....##.#######....#.####..#.#......#.#..#.##.####.#.#..#.##.######..##.#..#.###........###..####.#######...#####.#########.######.#.##...##..##.#..#...#.##...#.#.#.......####...#.########..######...##.##.####..#......##.######.###....#.#.#.#.#.#...########.#..######.##....###.#...####....######...####..##.######.#.#...##.##.##.#.##...#.####.##...#####....#.#############.##.#..#.##.....#.#.#.##..#.#..##.#....##.#............#
#########.#.#.##.###.#..########.##.#.###.#.####...#.#.###...##.##########.#.#######.##.#####..##.#########.#.#.#.#.#.##.##...#.#####.#.############..........#......###..##.#.###########.#.......##.#....#..##..#.#.......#.....####....##..#..##.#####.#.######......#..####.#.##..##.#...#..##...##.###...#.##....###.#.#####.####..#.######...#####.#####..........#.####.#..#.#..###.###....##.##.##.###..##.###..###..#.###..#.#........##.##.....#.###..###.#.###.##.##..######.#.######.##.##.######.#..##################...#######.##..#......##....##.#..##.#.##.###.#.###......#.##.####.#####.##.##..#.#.#..#####.####.#..##...######.#####...#####....#.#.#########..####..##.###.####.###...###.##.....##....#.##.#.###.###.#.#.....##.####..#..#####.##########....##.#.###..###.##.##.........#.###.#.##..#.........#.........##.##.#.######.#..#.##.##.#...####......#############.#...##..##.####.#.############
##.#.#.##.........#####.#.##.##..##.###..........#####..##.#.##..#.##.####.#.#..#######.##.###....###..#....#.#.#.###.##.#..#.#.#..####............###.#####.###.#.#..###......##..#.#.#.#.#####.#.#..##.#.##.#..##...#####.##.##...###.###..###.#....##...........#.##...##....#.##.##..##.###.###.######..#.#..#.#.####......##...##.##...##...#..##.#.....#.##.#####.#...##.##.####.........##..#..###..#.##....####...##.#...#.##.#.####.###.....###.##########.#...#.########.#.########.#...#..#.....#....####......#.#..#.##.#.....##...#.###.#.#######....##..#.#.##........#..#.##.#.....##...##.#.##....##...####...#....###.##..#.##...#.##.#..#....#######.#..##.#.#.#.###.#.######..#.##...###...#..##.#.#####.###############.#.#.###.....####...##.##.....#.##.############.##.#....#.##.######.##..####.##.###.##.#######.#.#.####.#....###..#.#.##.##..#...#..#.#.#.#####....##.##.#.#.#######.....#####.#.#..#...#
#.........#.####.##.#.........###############.#####....##..#.#..##.....#.#.####.........#...#####.#.##.####.#.#.###....#.##.######.#.##.##########...#####.##########.#.######..##.#.#...........####..###..####.##.###.....##..###.#...##..##.####.#########.##.#.#.#..#####.#.#.#...##.##..##..##.#......##.##.#.####...##.#..##.#####..#.#..#.##....##.######......##########.....#.#.#.###..#.###...##.#....#.##....####.#.#.#..###....#..##.##.########..###.#####.#.#.#.#.##....##..#.#.#.###.#####.##.##...#..#.####.#.##.####.#.#..##.####...#...#.####.#..#.##.#.##.##.###...#####...##.##..#..#.#.##.##.##.###..###.#.##..##..##.#....######...#####.......#.#.##..........#.#......##......#..##.#.##########..#..##..#.##.###.#####...###.#..####.##...#.#####..........#.#.#...#.#.####.##......#..####.########..##.....#######.##.....####.##......#..##.#.######.###.###.#.#####......#...#.####.#####.##.#.#.##.#.#
###########.##....#.###.####.####..##.........#...###.####.#.##..###.#.....#..##.#.####...#..........#.#.###########.#.#######.#......#.###........#..##.#.##.##..#.#.......#..##..#.#####.###.#.##...##...###.###....#.#.#..####...###..##..#.#....##........##.#.#.##.##....#.#.###.##.##.###.#####.#.#.###..###....##.########....##..#####.#.##.####.....###.#.#.###...#..###.##.#.#############..#..#.#.####.#..#.##..##########...#.#####...#..#.###.##......#.#..#..........##....##.......#.....#.....#.#...####.##......#.####.#.#####.##########...##.####.####..#.#..##..#.....#.#.#####.###.....#...#.##.....##.#.#######..##..#.####..#.###.#.####.###########.######.#.....########.##.##.##..####..#####..#####..##..#.#...##.####..##.##..##.....#......##.#####.##.....##.##.#.#..#....#########........##.###########..#.#####.###....#.#..#.##.#.##..#...##.....#...........#.#.##...#......#...#.#.#......#..#.#
#.#...##.#####.##...########..#.##.####.#.#.#####......##..#########.##.#####....####...#.##.#.#.###.......######.####.######..#.####.###...#.#.##.##.#..#.##..##.....#.#.#.##..##.#.##.#..##..#.##.#..##.###......#.######.##....#####.######.####.###.#.#.#.##.#.#.#####.##.#.#...#.##.#....#.##.####.#...##...##.#.##..#....###.#####.##....#.#.....##.##...#####.#.#.###.##.####.#...........#.#####........#.##.#....###...#.#.##.##.......####..........##.###.######.######..#.####..#######.###########.##.###...##.######....#.#........##..###...#..#...####.###.####..##.#.##.####........########.#####..###..#...##....##..##.#......##.##..#.#.####.#.#.##.........###.#.#......##...#.#########.##.#.#.##.#.#.#.####...#.#.#.....##.##..##..##.#.###.#.#.....#.#####.#####...#.#.#.##.#####......##.########..###.####.##....##....##.####.#.#######....##.###..#.###.#.#.##.####.###########.#.###.....#.######.####
#...#.....##.#####.##..#...#.##.......########....##.#..######...#.######...######....#.#.#..#.#.#...#####..#.#.#.#.####.##.##.###..#.##..#.###.#####.##...##.#####.#.#.#.#....##....##...######.#..#.##..##..#.#.##..##....##.##.###....#.###.#......##########.###.#.....##.#.#.###..#####.##.#.......#.#..###.##.#####...#.##.#.#..##.#####.#.#.#.#.##..#.#....##...............#.##.#.#.#.####.....##.#.#.######.##.#.....###....#.##.###.#...##.###########.....###.####...#######....#####..#.........########.###.....#.#.#.#######.#.#.#....##.##.#####.#.......##...##.##########..#.##.#.#.....#.....#####.####...#....##.###..#.#.####.##....##.....##.#.#..##.#.#.######.############.##...#.#...#.........#.#.#.#.#.#..#...#...#.########..#######...#########.......#.....###..............#.#######...###.#..##.#.#....#..##....####...#.#.#...##.##.#####.....############............##.###.#######.#...#.........#
#######.#..#..####.###.###...##.#.##.###.#.#.####..###.#####.###....##....#......##.#.##########.#.#####...##.#......##.........###.#..##########.##.....#.#...##...#.########.###.#....#..##....##.#.##.####.###..##..####.##.#..#...##.#.......#.#.####........##..#.###.######..##.###.....###.#####.#.#.##....#...#.#.#.####.###.#####.....#.#.#.#..#.##.#.#.##..###.##.###.#.##..#.#.#.#..##..##.#######.###....##.#.#.#.....#.####....#.#.#.##...........#####......###.#.#.##.##.##.....##.#.#########..##.##.##..###............##.#####.##........####.############.##.....##.....#####.#.#####...###..#.#....###.####.##...###.###...#####.##....##.##......###.###......####.#####.########.....#...##.#.##.....#.#.....##.####.##...#.##.##.......#.#..#......##.#.####.##.##.#.###.#.##.#.#.......#.#.###.#.#.###.....####.####.#....###.......#.............########..#.#..##########.#......#..##.###.#.#...##.#.####
##.#######.##..##...#..#####.##.###...#...........##...##.....###.############.######.#........#######.###..#.#####.##########.##.#.##.######.###....#.#.#...#....#.####.##.....#######.######.#.#..#.####....##..##..##....##.##.##.##..##.##.###.#.##.###.###.###.######......##..###.###.#############.#####.#.#.###...#......##.....####.#.#.#.#.#.##..#.###..##...#.##.###.#..#.##.###.##....###.......#...####.##.###.#.##.####.####.######..#.#.###.#.#....##.#.##.....#..........##.####......#.###.#.###..#.###...########.######.....###..#.#.##....#............###..###....#.#.....#.#..##.##.#####.#...##...#....######..##.##..#...#....##.####..##.###.......##.#.#.............#.#.######.##.#..#.#.##.#####...#.####...######.##.....#.#.#.###.##...###.#####.#.########....####..#######.#####.#.#.#.#.......#.#......#..#.#.##..###.#.#.##.###.#.#.###.####.#.##...#.##.########.##.#.####......###.##.#####....#
#...#..##...##..###.##.#..#...#######.####.#.####.##.#######.##.#...##..###.....##.########.#.##........###...#.##..#.##.#.............#..#.#.#.####.#######.#.##.#.#.......###...#.##...##########.#..####.#####..#.####.#.#######..#..###..#####.###......#...#...##.....#.#.##..##...........##............###.#...#.#.#.##.#....#####....#.###.#.#..#.##..##.##..#.#.##...####.#..#########.#...##.#.######..##...#.#####.##.......##.......#.##.#########.#.########.##.####.#.##########.##.#####.........##.#.....#....########.#.#.#.##########..#.####.#.#.#.##.######...##.#####.##.#####.....#....##...#.############.#.#########.#.#...#.##...##..###.####.#.##.######.#.#.###.###.....#....#.#########.#........###....#.#.....####..#.#.###.#...#####.##########......#.#...##...###.......####..#...#.#...#.#.#.#.##.#.###.##.#..####.#.#.#.##...#####.##............#.............#.######.###########.##....##.#.##
###.##.###.####..##.#..##.###..##.#........####.#######.#.#..#....#####.#.#.#.#....#.##.#####.###.#.#.#..#..#....##.#.##.########.#.##.##.#.#....#...##....##################...#......###.##.#.#.#.##.#....##....####....###.#.#...##.##...##.....#...#.#.##.#.##.####.##.###.###..##.#.#.#.#.###.##.###.#.#...###.#####.#..#.#.##.....###.##..####.#.##..##.##.#..##.#.##.#....#.##.........#.###.##.#.....##.###.###....##..#.#####..##.#.#.##..#.###..#..######.#.#.######.##.#.....##..#..#........#########..#.##.##.####....#.....#.#.###.#.#.#####.############...#..##.#.##.....#.####.##..##.###.####.#.#...##.##.##.#.#...##..#.#.#.##.###########..#.....######...#.####.#..####.###.#...#.####......####.#.##.#...#.#.####.#.#...#..##########.#####.......#.##.###.####...#.##.#..####.######.#.##.###.#.############.#......#.##..#.#.#.#.#.#..#....##..#.#.#.##########.#.##.######..........#.#####.###..##..######
#...........#.##......###.#.##..#.###.#.#.##.....#.#......##.####.#.##....###.####.#.#..#..#..#.########.##.##.#..#.#.##..##.##.#.###.........##.########.###.#.##.#..........#.##.#.#.###.#......#..###.#.##..##.#.####.##...#...#..###..#..##.#####.##.####.#..####...##.##...###.##.###.###...###..#...#######.....#####.##.#..#.###..##..##...##.###..#########..###..#.#.########.########...#.##.#.#.####...#...###.##..##....##################.#.##.###.#.#.#.#.##..#...#.###.#..#.##.##.#.##.#.........##....#######.#.##...##.####.....#.......#............###...###.#..#.#######.#...##.##...#....#.#.#.#..#.......#...#.##.##.#####.....##.###.##...###......#.#....##..##...#....#.##.#######.######..#.#..####.##.#....#####.#...##.#.#....#.....##.##.#.......######..#.#..#.##...####.#.#....##.......##.#...#.#.###.#.####..##.....#.######.##.###..##.#.####.......###.##.....####.######...........#.####......#
###.##.##.#......#.##..#.....##.#.#.############...######.##.#......##.##..##.##.....##.##.##.#.##.#.#......#####...#.#..##...#.###########.#.#....................###############.###.#.#.######...##...#####.##....##..####...#.#.##...##.#####......###....##.#....#..#.#..#..##..####...##.####..####.......###.#...##..##.##.#...#.##..##..####...##.........##..###.#.#.###.####........#.########.#....###.#.#.##...##.##.####.##........##.##.........#.........##.##.##########.........####.#.##.######..#.###.........############.##...##.#####.#.#####.####..#.##..#.##....#.#....#.##.###.##.#.#########...#.#####.######..#.....###.#........##.#...##.#######.#########.#...#########.###.#........#####....#######.####.####.#........##.#.##.##..##.####.##........####.#####.#..###.#.#.####..##.##......#......##.#....######.#.##.##.##..#######..#.#......##.######..#.#.#...##..#.###.#.#.#.###.#..##..#.#.##
########..##.#.#######...###........######.##.#..###.........#.#.#.#######..######.#........#........####.#.#.....#...#.###.#....##..##.....######.##.#.####.####.####.##..........#...#....#####.#..##.##.....##.#.####.#....#.#.#.#..#.##.#.....##.#...#######.##.#.#######.#.###.##....#.#...##..##....#.##.##...###.##.##...#.##.##..##..##..##..#..##.###.#.####...###.#......##..########..#.#.###.##.#######.#..##.###.#..........#.#######.###.########.#######.........##....##.#.##.##..#.###..#........##.....###.#.#..####.#.#.######.###.....###....##..#.########.#..##.#.....#######...#..#####.#.#.#.#.#.#.....#..#.#.##...#.#...#####.#.##.#..##.##........#...#.###.###.#....###.#...#....####.###.#.########..####.#...###.#.#########.#..#..##..#...##.###.#######.######.####...#.#....#.#.###############.####..##.#..###...#.##.....##......##.#####.#.#..#......##.#.#.#######...#.###.#.#.######.##.####..#
#.###.######.#######...#...##.##.##...#.#..#..##...#########.#####...##.###.##.....##.#.###.##.##.##...#..#.#.#######.....#####.##..##..######################....##...#####.#.##.#######.#.......####...#####.##.#.##...#.##.#.#.#.##.#.##.####.##..#.#.#.......#..#....##...#.##...##.#.#.#.#..##.###.#.#..###..#..##.##..##.##..#..#.####.#..##..###.########..##..#..#####.#######........##.......#.##.###.#####.##..##..#.##.#.#######...#.#..##.#.#.##.#...###.###.#.######.#######..#####.....#.###.####.#####.#...######...........###.#...###.#...##.#####.........##.##..#.#.#.#.......###.#####.#........#######.###.##......######.###..#.###..##..#..#.#.######.#........##.##.#.#.#...#...#.#####...#.....#.##...##.##...###.###.....###.######.##..###.##....#...........#.#.....#.#.....##.......##........#####..##..####...##.######.#.####.###.##...##..#.#.##.#.#.#######.....#.###.....###.###....###....##.##
#.#..........#...#...#.#.#.##.#..##.#.#.##.##..##.##.#.#......#.###.##.........#.#.######.......####.#...######.##.##.#.#..##....##..#.###.##.#...##.#.#...######..###.#.#.#.###..#.......###.#.#...##.#.###....###..##.####..#.######.#.#..#.....##.#########.#.##.#.#.##..###.##.#..#.###.#.#.###.#...####...##.#.##...##..#####.#.#####.#.##..##.#.#........#.####.##....##......##.#.#.##..#.####.##.##.....#.######.###.#####.###..#.##.###.#.##......#....#.....#####...#.#..###.####.....##########...#####.#####.####.#.#############.#.#.#...###.####...#.##.###.#.###.#..####.####.#.#########.#....######.##.#.####.#.#..##.####.#.###...##..##.##..###.#.#..###.####.#.#.#..#..###.....####.#####..#.###.#####....####....#......##.#.###........#.##.########.###.#.#########.#.########.#.###.##.#.###.##.#####.##..####....#.###...##.##.#.##.#...###..####.#######.#.#..#.#.#..#####...##.#.#######..##...#.########
#...##.####.##.#...#.#.#.#######.##.#.......##.....#.....#.##........#####.##.##.###.##...##.#.####..###.##..#......######..#.####..####.#.#....###..#.###.#.#..##.#..........######.#.##...#####.######.#...#.####.##...####.#.#..##..#.#####.##..###.........#.##.#.#..#####...#.#.##.#...#.#...#####..##..####.#..#.#..##....##.#...##....#..###...##.#.#.######.#.##.#.####.#.######.#..#.##...##..#####.####.#.##.###.###.........##.#...#.......#.#.##.####.#.#....######.#.##......##.######.##...###....##.#..##......#.................#.#.#...#....##.##.##.#######...##...##....#.###.##..#.#.#.#.####.####..#.#.#......######.........#####..#####...#.#.##.......##.#####.###..##.#.#...####...#.####.#.#..##.#####.#.#.##.#.##..######..#.#.#.####....#..#.#...#.#.......#.#....###.#.###...#.##.#......#######....##.#####.#...###.....#.#....#.#...##..#.#.......######.....#####.##.########..###..##..###.#..#.#.#
##.#######...####.####.#####.#....#########.####.#...#.#.#..##.###.#....#####.####....###..###.#....##...###.######..#.#.##...##.##..##......##...##.#.#...#.##.#....#.###.#.##......#.#..#..##......##..##.##.#.....##.##....#.##....##.#.....##.##############.##.#.#.###....###.#..#####.#.#.#..##...####.##...#.##.#.##..####..#.#..##.#.##...#.#..#.###....#...#.##.###....#......###.######.####....##............#....##.##.###......###.##.#.####......##.###.##...........#.#######.........#.###.#######...##..####...#.#.##.######.########.##.##.####...#.......##.##..######.######..##.#...#.####.....##.##.#.##.##.###.#...#######.....#####.#..#.###.##.#.#.###.....####.#####.#.#####.#..###...#......###.#.##....#..#.#..##..##..#.###########.##.#.##...#.###.#######.#.####.......##.#####.#.##.#.........##.......####.#..###.#######.###.#.#..##...#.####.##....###.######...#.##..#.###.....###########.....#
#####.#....####...##....##.#.##.#####.##.#....#####.##.#.########..#.##........####.#..#########.#.#######.#.###.###.#.#.####..#....##..#.#.###.###....###.#.#....##.#..####..##.###.#.##.##..###.#.####.#...#####.###..###.#.#.#..#.#########.##....##..........##.#.#...#.##...###.###.#..#.###.#####...##..##.##.##.#..##....##.#.#####.#####.##.##.#.###.##...#.#.##..#####.#.##.#...#...#.####.#####.##.#.#.###.##...#.##..#..###.##.###.#.####...##.#.#.##....####.#######.#.........#####.#.###.............#..########.######.......#.......##.#####...#..####.#.#############..#......#.##....###......##.##..##.#.##.####.#...####....#########.#.##.#...########...##.#.##..#..##.###.####..#.###..###.######.#....#.#######.##..##..##.#.#.#.#.#.#.###.....########.................#####.####.#.#.#.##.#.###.##.####.#.##....####...#####.#.#...###.##.#..###....#######.##.........###..##....##.#####.#.#..##.##.####
#.#.#.##.#.##...#.###.#.#.......##.....#...####.##..#..#####.##...######.####.##.#####.#......#..####..#.........#.#.#.#..####.###.###########...####.##.......#.##..#.##....#####...#..#####.#####.##...###.#...#.###.##.###.########.........##.#.############.##.#.#.#.#..#.#...#.#.....##.#.....####.###.###.##..#########.#####.....#..##.#.##.##.#...###..###.#.###.#.....######.#######.#.#.....####..#.#...###..#####..###...#.##.........##.#.####.#..#.##....#..#.#.##.#.#######....##.#.....##.###.#.#####........###.#####.##.######.#####..##.##.##.###.######.###.#.##...#########.#..######.#########..###...#....##.#.#####..##...........#.####.#####.#.############.##.##...##....##.....#.##............####......##.###.##.##................#####......#.#.###.##.##.###.#..####........#.#.##.#...#..#..#.######.#########.........#.#..########..########.#..#..#.#.##.#.##.#.###.####..#..#......##..##.#.##
#........#.##.#.#.#.#.#######.#.####.#...#..#.#.########.....#..###.######.####..........####.#####.##.###.#.###.......#.##.#..##...##.#.#.#.#.###.......####.##..#.##..##.#...####.##.##.....#.....##.#.###.#.#.....###..#.....###.######.#.#..#.#.##...........##.#.#.###.#####.######.#..#.##.#.##......####...##......##...##.#..#.#.####....##.##.#.######...###.#.###.#.#..#...#.##..#.......#.#...#######.######.######..###.##..#.#.#.#.#..###..###.##.###..#.###......###.......#.##..####.##..#...#.#...#.##.#.#.#......#.#######...####...##.....#.##.............#..#.####...###.#.....###...#......#.###...#.###.#####.........####.##########....#..##.#.#...##.##..#.#.#.....#########..###....#.##.###.#.#......#########.#.##....##.#########.#######.##.#...#.#####...#...####....#.##.##.#########.#########.##.#.####.#.#.######.###.####........##....###...##.#.######..####.#.#.#....##.#.##.######..###.#..#
##.#.###.#.#..###.#...##......#.#....###.##.......###..#####...##....##.#....#########.#.#....##........##########.###...##.##..###..............#######.#....##.######.#..#.###.#..##..##.##.#.#.#..###.#...#.##.##..###...#.###..........#.##.#.#.##.#.##.#.#.##..###.##....#.#..###...######..#..####.####...#.##.###.##..#..#.#.##.#..#####.##..##.#......#.#...#.....###.##...#####..##.###.#####.#..###........##.#.#..##.#....##.#.#############.#.#########.#.##..#.#########.#.#################.#######....###.#.#.####........##.###.##.######.#####..######.######.##..###.###.#.##.####.##.##.######.#.#.#.............######.##.....#...##.##.##.####......###...##.#.#.#.##.###.###....##...##...########.#.#.##....##...#.#.##.#.######....#.#####...######.#####.###.#.#.####...#######..#.#.###.##..........#.#.....#...........##############.##.##..##...#.###..#..##..#.###.........####..#.##...#.###.#.#.#.##
#..#.#...#######..###.#####.#.########...###.##.#.....#####..#######....####.#.##.##...#.####.#####.###.#.#.##......##.#.##.###..###.#.#######.###.......##.#.##...##.#.##.#.##....###.##..####.####...#####.####..####...#.#.#...##.#.#.#.#.#..#.#..#####..#.#..##..##..###.##...##.#.#..##....##.#####..##..#.###...##..##.##...#..#.##...##...#####.##.#.###.##.######.#...#..#.#.##..##..###...######.#.####.###..#.....#######.###.#.............#....##.##..#######.#.........#####.#.##...#.#....#.......#.#.####.#.#...##.######............#######..##.###########..#.##.##.#.#.#.#.#...##..#......#.##......##.##.##.#.####....########...####....#####...#.#.##.##.##.........###.....#.##############.##.#######.########.###.####.#....#.#.####..##.#.####.#####...#...###.#....#.#.......#.##.#..#...##.#.#.#.#.....###...#.#.##.##.#.#....#.#.#.##########..#.....##...##..####.#.##.##.###.#..##....###..##.#.#....#
#.######...##....###..#.....#.###......#.#....#######..#..####..#....##.##...........#####.....##.####.......###.##.#..#....#.#.##.#####.......######.#.##..#.##.####.######..##.#...#..##.#....##...#..##...##...##....#.######.#####.#.#.#.##.#.#.##.....#####..##.#..##....##.###...####..##.##.#.....####.#.##..#..#.###.##.#.#.######.##..#...##..##.#.###..#.....##.###.##.#......####.#.###....#.#...####...##.#.#.#.....##....###.#.############.#.......###.################..#..#.####.....####.#.##.##.####.######.###......##########.#..##.##..##.........##...##.##..........#.#.#..##.#.#.##......###.######.####......#####.##.####..#.#.##.#.##..########.#...#.##.####..##.#####......##..##..#.........####......#..##.##.###.##..........###...##.......##.##.#.##..#.######.##.#.#####...##.#############.##...##.####.#######.#.####.......#.#.#########.#.####.###..##.....########...##..#.##.#.##......####
#...##...#######.#...####.###.#...#.#.#####.###...#.##.##.#####.####.##.########.#.#.#..#..#.#.....#.#######.#.#..#.##.##.#......#.##.###.##.#........#..####.##.##...##.#...###.#.#.#.#######.#####.####..#..###.#..#.##.#..#.###..#..###.#..###.########.....##.#..##.##.#.##..##..#..##..##...###.#.#..#.#.#####.#.####....###.#......#.#..###.####.#..###.##.#.###.##.##..##.#.##.#..........#.####.###....##.##..#.#.####.####.#.##..#....#.#.....#.#.#.##.##....##.#........#.##.#.##..##..#.###########..####.#......####..#.#####.#.##.####.###....####.###########..#....##.####.##.#.####....######.######......#....#.##.####.#...#.#.#####.#.##....##.####.#.#.#.###.###########...#.#.########....##.##.#.####.##.###.##.##.....#######.##.######.###....########.##.#####.#....######.#.#.#.###.....#......#.#...##.#.##...##...#.##....##.#.#######.......##.######.##..##.###.###..##.#..##.##..####.......##.#.##.#
##.###.###.......#####.....##.#.#.#####.#.###.###...............#.####....#......######.##.#######.#.............########.##.#.#....#.....#####.#.#####.##.....#..##.###.######..#.#.###.#......#.##.##...###.#...##.#..####...####...######.##....#.##....###########..##.#.##.####.##..##.##.#.##..#.#.##.#.##....#....####..##.####.#.#.#.###.....#.##.....##.#...####.##.##..#######.#.#.#####........#.#.#######.#.#..#.###.#..#..##.#.##.....#.#####.#.####..#####.#.##.#####.##.#.###....##...#.....#.#####.#.#.##.#....####..#.#..........#.#.#.####.#..##.##....###.#.#######.#####.#....###.###...#......##.#####.######...#...#.###.#.#.###.#..#.#.###.#.#..............#....##.#.###.....#.##...##.....#######......#####....###.......#..#...####.#...##......##......##.######...##.###......####.#...######.###..#.####.#..##.##..#.##............#.#######......##..##..#......#####....##...##....##.######..#.#..#
#....###...#.##.#######.##.#..###.#...........#.##.#.#.#.#.#.##.....#####.#.##.#.#####..######.......##.#.####.#.#.#.###..####.##.#...###.#.....#...###.####.#.####....#.##.....##.#####.###.#.##.....###...#.##.##..#.###...#.#.####.##..#..##.#.##....#.####.....###.##..#.####..#.##.##...###.#..##.#....#..####.##.#....#.##....##.###.#...##.#.####..#.#..###.#..#.###...##....##...#.#.....#.###.##.#.###.##.##.#.##....##.##.##.##.#..#.##.##...#####..####..###..#.#####.##.##.#.#.#.#########.#####..###.......###.##....##.....#.##########.#.#.#..##.....#.#.##.........###.#.##....#.##.......#.###############...#.####...###...........#.#.#######....#.###.#.#.##.#...#.###...#.##.####..##.#####.#...##..##.#####.#.#.##...##.####.####.#......###.##########.######......##.#......##.###....#.#.#..........##.#..#.####.####..##.####.#.#.######.#.#.#.##.#######..##.#.####..###..####..#....#####.#.#########.##
##.#..####.#######.......####.#...####.#.#.##......###.#.#.#.#..###...###...##.###.#.##...##...#.#.#..###.#....###.#.#.####.#..#..###...###.#.###.#.#....##..#..######...###.#.###..##.......#..###.#.###.######..##.###...###.........##.#.##..#.####.####....#.#......####...###....#..##.##...##.##.#.#.###.##...#..##.#######.#.##...#.#.###..#....##.#.##...#.##....###.##..#.####.####.#####...#..#.#.........###.###.#....##..#.##.##.#.#########.###.##.##.##.##.#...#.#.##..........##.#...##.#.####...#.###############.###.#.##........##....#.#.##..#####.######.###.###.#...##.########.######.###.###.......#.#.....##.#.....#########.......#.##..##.....#####..###.######..###.#.....##.......##.##.####..#.#.##.......##.##.....#....##########.....#.##.##...###.#.###.###.#.#.####....###.###########.#.#########.##.###.###.##...########...##.#.#.#.....###.##.###......#.##...###.#.##.#.##.#.#.......##.##.##
#..##.#....##......##.#.##....##.####..#.#.#########...#.#.#.#.######.....###..#........#..#######.#.##...###.##.........#..#.###.#...#.#######...####.###..##.##...####.....#.##..##..#.#.#.#.##...#.#.....##.#.##..#####.##..##.#.#.##....###.#.#....##...#.####.##.#####..#..##.#.######..##.##..##.#.#...#.##.#.##..#......##.#.##.#####...##.#.#.##..###..######.##...#.###.#..##.....#...###.#.####.#.####.#.##.....#.#.####..#######..#...##.#......###..##.#..##.##.##.#.#..#.#.#.##..#.#.###......##.#......###...##..####.#######.#.###..##.###.#..##.##.##..##......###.....###....#.#.##...#..#.#.......##.#.####.##.###.#.#####.......#.##.##......###.#.#.....##...#...##.##.#.#...#####..##.#.###..#..#.#.##......#.#.##################..##...###.####.#...#.###.#...######..###....##.#######........######.....##......##.#.#.##.#.#.#.#.####.##.#.....#.#...#....##..#.######..###.#.#..#.####.#.#.########.##..#
##.####.#.##..###.##..#.###.#..####.##.###.#.........#.#########......#.#...####.#.#.#####....#.#..######.#....###.#####.##...##..##.##...##.####.##...##..###..###..#...#.#.#.#..##..######.###..#.#####.#....#######......##.#..#.#..##.#.#...#.##.#..##.####.##.#..##....###.####......#.##..###..#.#.#.##########..##.#.####..####....##.####.#.#####...##.##.#.#.#..#####...#.####.##.#.#...#.#....#.#....########.#####....##.#.....##.#.#..#.#.#########.#..#.###.#.........##.#.#####......##.######..#.#.####...#....##......###.###########..##.#.##........###.######...#####.#.##........#...#####.###########.#####.##..#...#...##########..#.#.##...#.##########.#.######..#.#.#.###.#...###.#...#.###...#.##.###.########.#.#.####.....##.###.##..........#.........###.##.########.###.........#.######.##...#######.#.#...........#.......#.#...#.#.###########.####..####....##...#.#.#.#####.#.#....#.###.#.##.##
#....########.#...#..##.#...#.##........##.##.#.#.##.####...#..##.#.#.###.#.#.########.#.####.#...##......####.##..#........#..##.#...#.###....#...###..##.#.#.#####...###.#.#.#.####.#.#......##.#.#.....##.###....#..#.#.##..##.#.#.#####.###.#.#..##.#..##......##..#.##...###.#..####.#..##.#...##.###....##.#.##.#####....##....#.#.###....###...##..#..#......###.###.#..#.#.##...##.#.#.#####.##.#########.#####....##.#.##....#####..#.##.......#.##.##.#.##.#.#...#.#.#.######...####.#.###.........####.#....####.####.##.#...#.###....#..##..#......#.##.###......#.###.#.##....####.###.##.###.##......#.#####.....#####.#.#...#........#.#.##.###..#.#....#.....#########..##.#.#.#.....###.#######..##.###.##.#####.#.##.#.....#....#####...#..##.######.#.##.#.#.##.........##....#...#.###.#.#######.#...###.#..##.#.#####.##.#.#.##.#######...#.....##.#...##.#..#.##.#.#..#####.###.#...#.##..#.#.####.#.#.#.##.##
######.#...#####.###.##.#.#.#######.##.##...#######..##.###...##..#.####..###.#.#.#....#.#.##...#..####.#..##..#######.##.#.#.###########.#.##...####..##....###.....#.#...#.#####....#...#.#.##..#.##.##.#....####...##.#.###.##.#.#.#.......###.##.####.####.#.#.###.###..###.....########..####.###.#...#####......#.########..#.##.#...##.###...#..##.#.##########......##.###.##.#.####.#..#..#..#########....##.#######.#..##.#.....##.###..##.####..#.#...........#######.....####..#.###.....#.#.###..#####.####.####.....#######.#.##.###.##..##.###############.####..#.......##...##.########......#.#.##.#.#...#.#....####.#.###.##.###...###...###.###.##...#######.....##.##.......#.#####..#....#.#####.#............##...###...#.##...##.##.##..##.##############..##.#.####..##.#.#.#...######.#......###.#.#.##..#...######.###.##.....#.##.####.#......####.##.#........####...###...#....##.#...##.#.#.........#
#.#.##.###..##.#####..###.#.#....#...#########.########.....#....#####.##.##......####.....####.##.##...####..##.......#########.#.###.##.#########.##..##.########.##.##.##.##....##.##.##.#..##.####.#..##.###....######..##..#.######.#.##.##..#...##.....#####.#...####...#####.......##.##......###.#.....####.#..........####.####.###....#.#.#.###.#...#####..###.##..#...#.##.#....#.##...##.###..#.....##........##..####..#.#.#..#..##.###.#.##.##.###.#######....#.####.#....##.....#.##.##.#...#.##.##.........#..###..#.#.......#.#.#.#..###.##..#.##.#..#.#....##.#.#####..###.##...##.###.########.##.....#.#.##.###.####.##################..##...#.##.#..##.#.##.####..##.##.##.#..##.##...####.#.#...#.###.#.######..######.#####.###......##.................##..######.##..############.#.#.#.######.#.#....##.#.###.##.####...#.#.###.#.....#.#.#.####.#...#...####.###..##.##...#.#.#####...#........#.#####.#
#.......##.##..##.#..##...######.##.####.####...#.###...##.#######.##......######......###....########.##....###########.#.#.##........##.##.#.##......#######.#.#..#..##.######.#.##.#..##.##..###....##.####.######......###.#####.#.#.#.#...##.#.#..##.####.....#.#.#....####....##.#.##...##.#.#..##.##.#.##....##.#####.#..##.....#...##.#####.###...###.....##.#########.#.#.#..#.#.##..#.#..#.#.##...##.##..#.########...###.#.####.##.##.#......#..............##.#.....##.########.##.#.##..#.##.##.......#######...#####...#.###.#.......#.###...##...##...##...##....#.....#.######..#.#..#.#.#..#..######.######..####..#.####.###.#..####..#.######.#######.##..#.##.#.#..###..#########..##.###.##.#.###.#.#########.#..###...###.##..##..#.##.##.####.#.##.#.#######..#.#.#.##.###.#.#..###..........#..#.#.#.#####..........##.##.########...#########.###..##.##.####.###.##.#.....#.#######.#.########.#####.#.###
######.##...##......##..#####.......##........#...#.##.###.#..........##.#.##.....######...##...........###.##..................#.#.#.##........#.##.#.##..........##.##....##...#..###.###.###.##..#.##..#.#...######.#.#.#.#.##........####.#####.#.##..##.###.#.#.####.#..#.#.##..#.#####.#####.#.#####..#.##.##.#......#.#.####.#.###.##....##....###.##..######...###.###.#.#.#.##.#.##.####.##....##.#######.#..##.##.###..##.#....#..###..#.#.##...###.#.####.#..#.##.#.##........##..#.###..##.##..#.#.###......##.####.####.....#.#.##.####...##.###.####.#.#..#####.#...#######...########.......##.##.#.#......###.#..##.#.#..#.#...#.##....##..#..####.....#....##.#..#.#.##.#.###.##.####.....##..###.##....#...##......##...####...##.##.##.####..##.##########.#..###..................##.####.#####...##.#.#.###...########..#.######.##...####.#.#.####.#.##......##....#..#.##.#######.##.#.#.#.###.####.##......#
#.......###..#####.##..####.####.#.#####.###.####....###.#####.#####.#####..####.#####...#.####.##.#.##.##..####.#######.###.#.######....##.#.#...##.#.###.##.#.##..#.###.###..#.#.##...#....##..######..##...#........#.#...########.##..#.#..##...#####.#......#.###....####...#..##..#.####.....#.....##.#..######.#.######..#.#.###.###..#.##..#.##...###....#...###.#.#.###.###.##.#.##.#.######.###..#..#..####.........##.####.#####...##.#.#.##.#...###....#.#.##.##.#..##.###########...##..#.##.#########.##.##.........####.#.#########...###...#...#.#.###.####.#####...#.#####..#.####..#.##.###........######.####..#.#.#.##...#......#.####.#.##.##.########.##.#.##........##.....#.#..#.#..##..##..##.#...###..######..#......####.##.####.###.#...#.#.##.##...##.#.##.###############...##.....#######.........#.....#######...#.#...##.###.#......##..#.##.##.###..####.##..#.#..##.#..#.#...#.....#.....###.####
#.#.#.#...#.##......##.#.........###.#####...#....##......##.#.#.#...#.######....#.....#.###....#############..####...########.##.....#.#######.###..#.#...######..####.#.##..##.#####.####.##..###.....####.##.#.#.##.#.#.###.........##.#...#####...#.####.#####.##..##....##.###..#.##....##.#.###.#.###.#.###.....#.....##.##.........##.#..##.#####.##...##...###.#...#..##...#..######.....##.....##.#.##.##..##.##.##.##...##......#.###..###..#.#.#.##..#.##.###..##.##.##......##..##.#########..........#.#######.##.#.##.######.....#.##.##.##.##.###....##.##.#..#..#.###.#.#.#.##..#.#.#####.#.#.######...####..#.##.#.#......########.#...##................####....###.#.##..##.####...#####..#.####....##.##.#.####.#..#####.#.##.#.....##...#....#...........#....#..######.##.###...##.####.####.##..##.###########.##.......###.#.####.##....##.####.##....####.##.##.#..#.##.#.##..#.##.#.###.#####.###........#
#########.#.#..##.##################.#..#######.#########.#..###.#####.#..#.###.###.#.##.#...#.##..##.###..###......#...........#####.###.#.......##.#.#####.#.###..##.....#####.##.....###..#.##.####.##....######.##.#.#..##.####.####..#.#.##....#....#.####.....##.#..#.##....##.#....#####.#..##.#...#.#...#.#.###.##.##...#.#.###.###..##.#...##...##.#..##.####...#...###.#.#.####....#.#..###.#..........##.####...#..##.##..#.##.#.######...##.#.#.#..#####...####...#..##.######.#######.##..##.#.##.######.#.##########....#.###.####.##.#..#.......##.#.........##.######.#.#......##.......#........##..#....#.##..#.#.#.#########.###########.#########.##.##....####...########.##...#.#.#.##........##.##.........#...##...######.##.#######.#.####.##.#####.###.########.........#.####.#.##......#..##...........####..#.#######.#.......##.#..###.......####.##.......#.##..#....##.#.##.#......####..##.#.####.#
##.#.#.#......##..###.#...########.#.##.#.#.#.####..#.###.##.##........##....#####..#.#####.#####.##....##.#.#.#.##.##.##.#.#.####....##..####.#######.#...........##..#.#.##.....##.##.#...####...#...##.##.#.##....#.####.##..##..##...##.#######.#.####......#.#######.#.##.####..#.##.....#.##.##.##.#####.####.##...#..##.##.#...#####.###.##.#####..#.##.##......#.#.#...###.#....##.#.#.##...#.####.#.#.#.......##.######.##.##.####.....####..#.#.#.##.....#.#.#.#######.#..........#.##.#....#####.######.##......##.####.####..#..##.#.##...##.#######..#.##.#.##......#........#.##....#.##.####.#.######.#.####..##.#..........#.#.....#..#.#.#.......############..#####..##.#..#....###.....########.##...#.#.##.##...####.####.##..##.#####.#.....#######...#...###..###...#########..##..#.##.######.##..##.#.###.##.#..##.##.#......#.#.###..#########.##..##...##.######..#.##.#####.#.#....#.##......############
#......#.#.#.######.#.###.............#.#......#.##.............######.#####...#.######.########...####......###########..#.###..###.####......####....#.####.#.#.####.#.#..####.##..#..#.#.#.####...#..#.#..#....#.##...##########.##.#.##.##......##########.##..##.....#.##.##.##.#.#..#.#.#.##.#####.##......##..#.#.##.#...#.#.#.....#.##..##.#.....##.#..##.#.#.##.#.#.#.#...##.####.#.#..##.##....#.###.####.#####......######.....##.#.##....##.#.#..##.#.##.#....#....#.##.#########......####.#####.#.....#.######...#.#......##.##....##.#........##..##.########.#.#...#####.##..#.#########..#.#..###.###.##...##....######.#.....###.#.##.....##.####..##..##.##.##.##..###...##.########.###.#....#..##.############....#.#.#..###.##....#....#####.......###.#..##.##.##.###......##.###.......#.....##.############.#.######...##########.#.#####.##....##.##.####.##.###.##.##..##.#.....#.##..##.#####.##.......#
######...#.#.##.....#.#...#.##.##.###...##.#.#......#####.####.##.......######.......##..#.#.#...#....###.#######.###....#######.....##...#.##....####.########.###..#########...##.###.#.###.#.#..#.#.##.#.####.##..###.#....###.#.#..#.#...####.###.....##.#..##..#####.####.....#.#.#.##.######.#......##.#.#####.#.#.##.#.#####.###.#.#..##..#.#.#.#..#.##..#.###..#.#########.##....#####.##...#.#.##...#....#.....#.#######.#####.#.####.##.#.###.#.#.##..######.##...##.#.#...#.#....#.#########...###.#.#####.#....#.###.#.######..##.####..###.#.##....##.....###.#####.#....##.##.##.......##..##.##...#...###..###..##......#.#.#########....#########.##..#.##..##.##.##.###..#.....###..####.#.#.########.#.#.#.###.###.#.......##....#.####.#.###....###.#####.##.#...#.#....##.###.#....##.####...###............##.#.#.#.##...#.....#.#.#........#.####.######.##.#..............###.#.##.####..##.....##....#######
######.#.#.#..##.##.#...######.########.###############...#.....##.#.##........#.#.#..##.#...#####.####....##..#..#.##.###.##.####.#.##.#.#.###.#..##..#..........##..#...##...#.####...#####.#.#.####.######.....##...####.#.......#.########....##..###......####...###.##...#.#.#####.##.###....##.##.##..#...##..#.#.##.#.##.##..##.#.##.##.##.###.#.##..##.#...#.##..#.#.##....##.#.##.##..##.####..######.###.#####...##.#.....##.#...####..#.#.#.###..##......#..#.#..###.###...#.####.#####...#.###.#.....#.....#.##..##.#....####..#.#.###.#####..###.####.#.##.#.##..####.###########.#######.###..#.#...#..###..#..##############.#....#..##...###.#.#.##.##.###.##...........###.####.#.##.##.......####.###.#.#.......###.##.#.#####.##...##.####..##########.######.###.#.#####..####.#####....#.#...#.#.#.#.#######..........###.#.#.....#.########.#.#...#.##...#.#.###.#.########.#...####.###..#.#.#..#.##...#####
#......###.#.#####....####.#.###.##.......#.#.#####.....#.##.#.###.#.##.#############.##.###..#.#....#####..##.##.#.######.........#..###.###.#.##########.#.#.##..##.#.#....#.#..#########.........##..##....#.#.#..#########.#.##.#..##.######.####.#####.#.##..##.##....##.##.#...##...#.#.###.##..##..##.#.#.#..##.#.##.#.....#.##..######..##.#...#..#.###.###.#####......#.#####.#....##.##.....##.....##...#.....#.#......##.#######....##.#...#.##..##..###.#####.##...#####.#............#.###...#.#.###...#########.##.#.####.##.##....#.....##.#######.###.........###............##...###.#...##.###.######.#.##.###.#.#....#.#....##.#.#######.#........##.#.#.#..##.##.#.#..####.#.....#..#.#####..#.#.###...#.###.############..##.##.####..#.#.##.##..##.#..#..##.###....##.#.##.##...##..##.###.############......#.#.####...#.#.##.####..##.##...#...###.###.##.#...######.........#........##.###.##....#.###...#
##.##.####.###.#...####......##.....#.###.#.#.......#.#.###..###.##########.#..##.##..##...##.#.###.##.###.##..#.....##....###.#.#.####...##........#.#.#..#.#.#..##....##.#.######.........#.#.##.##..###.#.##.#.#.##...#.#...#.##.#.##.........##...#..##.#..##..#..##.###..#..#.#.##.#.#....##.###..##..#.######.##.#..###.#.###..##......##.##.#.#.##.#.#....##.##..####.########..###.######.##.##..#.#..#.##############.#..#..#.#..#.##.##.#.#.#####..##..##.....#.##.#####...#.#.#.##.###.....##.##.....#.#.......##...#.#....#..#.#..####.#########..##...############.###.#####.#.###.#.......############..#....#.#.......####.#.#######.##.#.##...#########.......##...#.#.#.##.##...#####.##.#.######.#.#.#.###.#.####...#....#..##..#.....#.##.#.....#.###...##.##..#...##.........#..###..#########........##..###.####..####.#########..##.......###.####..#.#.##...###..#.##.##########################.###.....#.#
#######....##..#####....####.#####.####...#.#####.#.#.######.###..#...##......##...##....#..........##.#....##...###.####.##...#.############.##.#.##.#.####.###.#########.#.#......######.##.#.#...##.##..###..#.######.#.###.###..#.##.#.#.###.####.##....######...##..####.##.#.#.####.#.#.##....#.####.#....##...####..##.#...#.####.#.#.#..##.#.#.#..#.#.##..#....###.###..##..##.#####.#.....#..##.#.####.##..##.#.#.#########.....####..#..###..#.#######.##.#######..##....#.#.#.###....##.#.###.##.##################.....####.##.#.###.#.........##..##.##.###.....#..##......#####.#.#.##.######.##.###.##.#.####...#.########....###.##.......#.#..###..##..#.#######.####.#.#.....#....##.##......#.#..................###.####.####...#####..#...#.#.....#.####.##.##.##############.##.##..#.##.####.########.##########....#.#.########.##.#######.#..#.##.#.#.#..###.##.........##..######...#.#.....########.#####
#.......######.##.#..#.#####.......#.####...###.#.#.#.#........##...#..######..###.#..####.##.#.###....####.#..###........##.#.#..##..#.......##.###.........##....##......###.#.#####.....##.#####.##..##.##..##.#........#.....##.#.####.###......#..##.#.##.....#..##...##..###.#..##..###.##.##.#...##.#.####..#..#.#.##..#.#.#..##..#.###.##..###.##.#.#####.##.#......###....#####.....##.#.##.##..#...##....##........##.##.#####..#######...##.....##.##.#..####.###..#.##.#.#.########..#.#.##...#...##.#.#.##.#.##...#####.........#.#.#.#.#######..##..##.....#####.##..#.#####.##.###.#.......#..............#.#.########.....##........#####...#.##.#.##..####.....#....#.#...###.#.#####....######.#.#########.#.#######.......#.####...#.#.##.######.####.##.#.##.##...#.##.#..#.....#.##.##......##.#..###.#.##....#.###.#.#.#..#.##..#.......####.#.##.##.#.#.#.###..##.###.##.###.##......#.....#####.#...########
#.#.#.#.#.......#...##.##....#.#.#.#..#####.#.....#.###.#.##.#.###.###........##...#####....#####...##........##...#####.##..###.####.##.##.#..#.##..####.#.####.#..####.#..####.#.....###.#####.....##..#..##.##.##.###.#...##.##..#.#....##..#.##.#.#####.##.#.#.####..#..##.###.#.####...#.#...#.##.###.#....##.##...#####.###.##.###.#..##..##.##..####..##.#.#####.#.#.....#.##.###.#####..#..###..##.#..##.#....#.##.#.......##.#####.###.#.#.###.##....##.##........##.######.#......##########..#...#..............##.###.###.######.#.....#...##....###.###.#####.##...######.#.......####.#.#.#...####.##.#.####.#..........#######.#.###...####.#####...###.#.#..#.####.###.#.#.##..#.....#.####.##.#...........#.#.......#.####.##.#.##.#............####..#..........#.###..#.#.##.###....#.##.#######...##.#.#..#.####.#.########....##.####.####.......#.##.#...#.#.##......###.........#.#.########.##....###.##.#.#
###.#.#.#######...#.######.#.###.#.##....#....###.#.#...#.##.#.#...#...#.#.##....#.......#.######.####.#####.########.....########.......##.##.#.#..##....#.##.#.##.##...#.##....##.#.##....##...##.####.#.###..####.#####.#..#####.#####.##..##..###..##....#####....##.##.####.#.###.###.##.##.##..#.##..#.##.####..#.#######....#..#########..#####..##..##......##..###.#####....#.#.#...#############.#.###.#.#.#####.###.#####............#.#..##.#######...##.#.#.#..#....##..#.######....##.#..##.####.#.##.#.######.............#####.#####.###..####................#..##.##.#.#####...##.#####.#....####.#......#.#.###.##.......#.####..#....#...#.#.###.......##...##...#.#.####.##.###.............#.##.##########.#.###.##.####.#.##.######.#######.###...##.#.#.###.#.##.#........#.##.........#....####.....##.#.##....#.#.#...####...##.....####.####..#.#.###.#.#..##.######.##.##.######.#.#.##.#..####.#.#....#
#...#.###.......#.#.#......###...#######...######.###.#.##########.###.#########.##.##.######.#...##...#.....#.#.##.#.##.##.#......#.#.#.#..#..####..###.##....#.####..#.#..##.#.####.#..##..#.#.##.##...###...###.###.....##...##...##....####..###..####.#.##....#.##..####......##..#.######...#.##..##.#.##..##..##...##..###.###.........##..#####.###..####.#..##..##.....#.####.#.#.###...........#.#.#.#####.....#..##..##.#.##.#.##.#######.#........##.##..######.###.##..##..###.#.####....##.....#.######..###...##.#.##.#####.##....########......#.###.#.##.##.##.###..#......####.##.....#.##.#..#.#.##.#.#...#######..#.########.####.#.####.........###.#####.##..#.#.#.##.###...###.##.##.#.#######.####.##.########..#.###..#.##..#..######..#..#.#.######.#.#.#........#.#.##.###..#.#.#.#...#.####..#.#..#.#..#.####.#.###.#.###.####.#.##.#....##.##...........##.......#########.#.##.#.#.##.#.##.#......##.#
##.##.#######.#.#.###.#.##.########.##.###.##.......#.#.#..##.###########........##.##.##.......#.##.######.##........##.##...##.#.#.#.#.##.##....####.#.##.#.##....##.###.##..#.#.#####.##.##.###..##.######.##.......#.#.##.#.####..##.#.#....##...##.##.###..##.#.###..##..#.##....##..##....#.#..##.##.#.##.##..###.#....#########.#.##.#####..##.###...##....#.####.##.########.#.#...#.#.###.##.######....##...##.##.####.......######...#.#.######.#.###...##...###...##..##..##............#######.#.###########.###.##.#..#..........####.##..#..#.##########..#..####...##...######..###..#.###.##.##...####.#.#.#.......#.##.##.#.#......###....##.####.#..##.##.######.#.###......#.#...#########.......#.......#.#.#.##.##.#.#.##.#.##.##.##.##.#.##.##.#......#####...#.#.#.##.#.##..#####.######.#####.#.#####.#.#.##.#..#.#.##.....##..#.#.###..##.###.....##.###.#.####.######..##........................#########
#..##.#.##....#.#.##..#.####...#...........#..#.#.#.######.....#.##...#.######.#.##.#...##.###.##.#..#.......##.#.###.##.###.#######.#.###...######.......#.#####.######....######...#...##..#.#...###.#.......#.#.###.#.#.##.###....##..#####.####.##.....##..##..#..##.####.####.##..##..##.#.#.########.###...##.##..#.####.....##..#.##....##.##......#.#..##.#....#.##......#.......###.#...#.##.##.###.#.##..#..#.##....#.#.#.#..#.##..#......#.#####...##.##..###.##.####..##.##.#.##.###.#.....#.#######.##..#.#..##..#######.#########.#...##...##..##.#....#####.##.#.#..#.########.#####.#######...#.####.#.#.#.#######.#.#.........##.########.#...########.......#.####..####.#.##.#.#####.##..##.#.#.##.#######.............#.#...........#..#.#..#..#.#.#######.#..############..##.....###..#.###.#.#.#...#.#..........##....##.##....##.#..##.##..##..###############.####...##....#.#.###########.#.#.##.......###
##.####..####.###########....#...#####.###.#.##.#.####...#####......#...#......#.#..##.#####...#..#.###.#.#.##..#.##...#.#...##......#..###.##...######.###.....#.#......#.##......#...#..##.#####.##..#.#.#.#########.#.#..#.######.##.##.....##....#########..##.#.##..#....##...###....###.#.#...##.......###.#..#..##......######.##.##.####...####.#.#.##..####.###.###.###...##.##..##...#####.......#.#..##.#.####..#.####.####....####.#.##......##.#.####..##....#...##.##..##.####...#.##.####...###.#..##.#...##..###.#.##.............#.#..#######....######.####.######...........#.##..#....###.#......#.#.#..###.#######.####.#.##.....########...##..##.#.#.###.#..##....###..#.#..........##..#.###..##..###.##.#.#.##.#.....#.##.##.#...##.#.##.##.....###...#.###.#.#.#.########.#######....##.......###.#.#.###.#.##..##.##..#.##.#....##..##.####.....#......##.#......#....#.##.#........#.########..#.###...#
#...####.#.#####.#.####...######.#...#.##..#########.###.##.#######.#.#...###.########.##....#.##.#..####.#.##.####..######.#####.#.###..##.#..#..........#.#.#.#.##.#.#.#..#####.###.##.##....##...##.#.#.#.##.#.#....#.#.####.#.....######.#.##.######.###...##..#..##.#.##.##.#...######.###.##.##..##.##..##.##.##..##.#.#......###..##....#####....###..##...##..##...#...#.#..#..##....#.....##.##.######..###....#.##....#...##.##...####..#.##.#.######..##....######.##.##.###....###.#.#.....#.###.....##....#####.#.#.#..#.#.#.##.#.##.###.###.####.######....##.#.##.##..##.######...###...####################.......##..#...##.####.#.#.....#.####.#..##..#.#...#.#.##..####...#####.######.######..#####..##.#.####.#..#.##.####..######.#..........##.####.###.#.........#.#.###.#####......##....##.######.#.###.#######.#####.########.#####.........###...##.#......#.##.##.###.##.##.###.#.....#.#..#.##########
##.##........#........######.....#.#...#####..........#...........######.####.##.......##.##.#.#######....#.##.#....##.......#.#..#.##..#########.#####.#.#.#.#.###..#####.##..#..#...##..##.#.###.##..#.#.#.#......#.##.#..###...##.####....#.##.#..........#.##.###.##.###..#..#.#..........###...##.##.#####..#..#..##..#.######...##.#..##...##########.##..#.###..#.#.#.#.#.##.#######.###########.....#.##.#...#.####..##.#.###..####....#.##..###....##..##..#.####..#.#..##.#...##...#.#.##.##...#.#.#.#.##.##.#.#.#.#.#...#########.#.##...#.#.........###.#.####..........############.#.#####..#..#.#.#.#.##.#.####.##..##...#.#.....#.#.#.#.#.....##...###.####.###....##....##.###....########.#.###..#....###......#.####.##...###.##.######.#####.#..#.#.##.#.#.#.##.####.#.........#...#.#.#####.##.........#####..#.#.##...##..#.#..##...##...######.##.###..#.##.#.######..########.##...#.#.#.#.....####.#......#
#..#########.########.##...##########.##.#######.#.##...###.##.##..#...####....##.#.##.##.#..###.......##.#..######.#####.##...##.#..##..#.#.##....##...#.###.#..###.##.######.######.###.#..#..##.##################.####.##...#.#..#..####.#.#..##.#.###.###.##..##.##...##.####.##.##.####..##.###..#......##.##.#.####.#.###..#.#.##.##..##.##...........##.###...##.#.#.#.#.##......##...........##.####.##.##.##.#.##.#####...##...##.##.#.##.#######....####.#.#....#####.##.#.#..#########...###...#.#####...###.........#.......##..#..###.....#.#.#.#.......#..##.######.##..#......##.....###.##.##...............#..######.#####.#.##.#.###.##.##..#.#...###........#.##..##..#...##.#.............###...##.....#.###########..#...###.......###.######.....##.#.#.#.######....#.#####...#.#.#..#.########.#.##.###.##.#.#....#####.#.##..#.####.##########...##############..######.###...##.####.#########.#....######
####.....#.#.##.####...###.#.####.#.####.#.##.#########.#....#####.#.#####..#.##..#.#...###########.#.#####.##......#.....##.###..#.##..##......#.##..#.#######.##...#....##............####.##.##.#.##.#..##...........##..###.#.##.#.##....####.#..###...##..##.##...##.#####....##..#....##..#...##.###.#.##..##.#.##...#.....##########.##..##.#.#.#.#.#.##...##.##..#####.#.#..##.###..###.#.#####........#..#.##.#.####...##.####.##...###.##.#....##.##...##.#...##...#.#..#.#.##.......####.##...#.....###.####..##.##.#.####.##..##.##...##.#.##.#.#.#.#######.##......######...#.######.##...#.#...##.########.#####.###.#.###.#.######.###########.##.#.#...###.#.#.##.###..####.#.##.##.#.#.########...#..##.#.##...#.##...##.##.#..#..########.....##..#####..#.#.....##.##.###.....##########.......#.#########.#.##.....######......##...##....#.....##..#...####.#####.##..#.#.#.#.#.#..###.#####.##.#.#...##......#
#.###.##.............#..##.#.........#.....#..#..##.##..######..##...#.#.####..##.#.##.###..........#..##....######.#.#.#.#####..##..##..####.#.#..##.#......##.#######.#..###.#.#.##.#..#.#.##..###......##..##.#.##.##############....###.###...#.######..##.##..##.######.#..#.##..##.#.####.#.###..#...#####.#..#.##.###.##.#####...##..###.#..###.#.#.#.#..#..#..##..#.####.##..#.####.#########.##.##.#####.#.##........####.##...###########...#.##...##.##..#.#..#.###...##.#..##.#.##...##..##.###.####.#......######################..#..###..#.###.####.......##.#####.#.#..#######.#########.#.###....##.#####...#.....#........#.#.#####.##.##.###..#######...#.######...#######.##..###.###.##.#.##.##.#####.##.#....#.#.#####.##...######.#..#.#########.##.....###.....#...#####.....####.##.##.#.....#.#.###.#.##.######.#.##.######.####.####.#####..##.###.#..#.#.#.#..##.......#.##.....#............######.#.##
#...###..#.###.###.####.##.#########.#####.##.#.##.....##....##.#..#......#...##..#.#..#.########.#.#.##..#.##......#####.#.....##..######....###.###.##.#.######.###.#.##..#..#.#.####.##....##...######.#####..#.##....##..........######.##..#####......###.#..#####.#......##..##.##.###.##.#...######...##..##.#.##..##.##...#.##.####...########.###.#.##.##.##..##....##...##.###..............##.##..#.######..#.#.##.##....#.#....##...##..#######.##...##.###.########..#.#.##..#.##.#######..##.........#######.#............#.#.###########.#..##......#.#.#..#...........######...#.##.##.#.#.#.#.##..#....#..#.##.##...######......##.#....#....#####.##.#####.....####......####..##....#...#....###.....##.##.#.####.###.#.###..#..........##............#.##.#####.#.##.#.....#.#.#...#...######.#####.#.#.#.#.##..###.#.#.#..#..##.........##.#.##..#####.....##.#.#...##..#.########.#.###.####.##.#.####.####..#
###..#..##..######.###..##.#.#...##..#.............##.######.#....####.##...#.##.##.##.#.#.#####..#######.#.###.#.####....##.#.####..##....##..##.##...###...#.##.......###...######.....##.#..##.##....#.#.##..##..##.#..#.#.##.###...##...#..###.##.###.##...##....##.###.##..##.##.##.....##.#.#.##.....###..##..#..##..#.##.#........##.#..#.#.....##..#.##.##.##.##..#.####.##....###.#.##.##.#.###..##.....#.#######.#####.#.##.####....#####...##..#.##.#..#.###.#.#..###.##.#.##.##.#####.###..#####.#.###...........##.#.##.##...............###.##..#.#.##.#.##...##.####.#....#.#.###.#.............#####.##...########.#......######....#.####.####.##.....#.####.####.##.######.##.####.#...###.#######.##########...#...#......##.##.#.####.####.#.#.##.##...#####.#######.#.#.#.#.#.#.#...#####..#....#....#.#.#..##...#.......##.##..#.###.###.......###..##.#.##......###..##.....##.#####.....##########.....###.#
#.##.######.#.#..###...##....###.###.###.#.##.#.##.##..#.#.#.#.##.##...###.##..#########.......#####.#.#..#..######....##..###.##...#####.##..##...##.###..###..##.#.####.#.#..##.#..##.###.##..#####.#........##..##..####.#.#..##..#..###.##.#......##...#.###..#.###.#.#.##.###.##.##.#.#.##.#.#.##.##.##.######.##..##.#.#..###.##.###..#.##...#.#..##.#.#...#..###..####.....##.#..##.#..#..#.#.#.##.####.#.........#..##.###.##....##.#....##.#....#######.####.......##.######.##.##.........##..##...#..##.#.#.##.##..#.#####################...#..##.#.#.#######.#.####.####.##...........###########........#####.##.#.####.#.#......#.####........##....#.#.....##.......#.........#..##..#.#.....#.#..##.........##.#...#...##.#..#.##.#....#...####.#.##.##.#........##...#######.#.#.#.##.####.#.#######.#.##.#.#.##..###.#.#.#....#..#####......##.####...###.####.#.####.##.######.....#.##.#####.##.#.#.#.#.#..####
#.....##.####.##.##..#..####.###.#...##..######.####..##.......#..#..#...#####.###.##.###.#.##.#.#.......##.##......##..##.##...##.##..#..#..####.#####.##...##..########.###.##....##..##...####.....##.##.##.##.####...##.#.##.###.#.##....######.#####.##.##..####.......##.##...#..#.#####..###.#..#.......##....#.##..####..##..#...##.####.#.#.##.##.#.##.###...##....###.#..#.####..#.##.####...##.#.######.##.#####......###..##..###.##..#.##.#......##..##..###.#..#....#####..##.##.#.######.####.#.##..#.#..#.##.##.###.#..####.........##.###..#####.....#.###.#.#.....#.##.#.##.#.##........#####.###########........##.#.#.##.########.###.####..##.#.#.#.#..#.#.##.###################.#.#.#.....###.##.##.#.####.#.#.#..#.#.##..###.######....#.######..##.###.#....###...###########..#..#....###.##.####...#..##.....######.#.#.##.#.##.#.#.##......####...#...###..........#######...#...............#.######.##
#####.##.#.##.#...##.##.#.#......###....##.........##.#..##.#.###.##.#.####.#..#........#####..#.###.#.#.##..#########.##...##.##...##...###....####.##.#..#.###..#.##........##.##..##.######....#.#..####.##..#.##...#..######.#...###..#.##......##.....#.##.##....#.#.#.#####.#.##.#.....##.##..#.###.#.#.##..####..##..##..##..####.##....#.#.#.##..#.###..##..#####.###...####....##.#.##...##.#..#.......####......#.##.#..##.####...#####.###..############..##...##.#.##....###.##.####....#.###....#..####.######..####.#.#.##....##.#.##..###.##.....###.#...##......#.###.##.#..#.#..#.########...#...........##.##############...#.#......#####.##..################...###.#.##.#.#####...#####.###...#########....#.#.###.##.###..##....##.##.####....###.##....#.##.#.#.##.##..#..##.###...##.####.#.##..#.#.#.#.##..###.....##.#.........#.#.#..###.#.##..##.##.#####.##.#######.#######...#.#.#.#.#.#.#...##.###..#
##............###..###..#.######.....##..###.##.########..###.##..##.#.##...###########.##.###.......#.#..##.#.##......##.#.##..#.#.####..##.#.##.........##...##......##.##.##..#..#####.##.##.#.####.##...##.######.######.#...#.#..###.######.#.######.##.##..##.#.###.#.#.....#.##.##.#####..##.###...#.#..##....######..##..##...######.#######..##.###...##..####...##..#..###########.###.###.####.#.#.###.######.########.##...##.#...#.######............####..#.#....#####.#...#.....####....##.#.###...##......##..###.#......#.#########......#.#######.#.######.#.##...##############..##......#########.#.#.....#..#.#.#.#..#####...##.#..##......##..........##.##.#............#.##..#.##.##...#.#....###.###.#.#.#..#####...##.##.##.....###########.#..#.#.#######....#..#.##.##....#####...###.#..##.#.#.###..##...#.##.##..##.#.#.#.#######...###..##.............##.###...........#.###########.###.#..#.#...##
#..##.#.#.###.#.##.####..........#.#..##.#...####.##.#...###...#.##########.###.##.............#.##.####.##..#....#.##..######.##.###....##..#..####.#.#.##..#.#..##.#.#..#...#####...##........#.#..###..####...##......##....#.####.#...###....#...##...##..##.##.###...#.###.#.#.##.##...#.####...######.##..#.####......##..##..#.....##..#.#.######.##..#..##....##.#######.#.........###.....#....#.#.#.........#######.#######.##..###....#...#.##.##.#.####....#####.#...#.#####.#.#.#..#########.#...##.##..##.###..##.#...#.#.##..#.#.##.##########.###.###...##...####.####.##.##.#.#######.#######.#....#.####.#.##.##.#.#.#.##...#.####.##....########.##.######...#.#.##.#.###.#....##.#.....############.#..######.##.....#.#######..##.##.......##....######...#...##.#...##.#.....####...#.###.....##.......##.##..###..#..##.##.###.#.....##..#...##....###.#######..#.....#####.###.#.........###..##.##.....####
#.###.#.#.#.............####.###.#.#.##..#.#.#.....#...#.#.##.####.#........#......##.###.####.#..#...##.###.####.####.##.......#.##..#.##..##.##.#..#.#..##.#.#########.##.#.#.....#########.######..#..####..#..##.#.#####.######.#.###.#...#.###.#####..#.##..#..#...###..##.#.#..#.###.##.##...#.#.##....#######...#.##.###..##.##.######......##....##.###.#..#.###.#.........#.###.#####.#.#.#.#.####.##.##.#.#....##.#..#...######...##.#...#.#################.....###.#....##.###.#.##...#####...##.##..##.#####.##......#.#######.........#...#####.#.#..##.######....#..##............###.#.###.#.#.#.#.##....#.#................#......#.##.##..#####.#..#####.###.#########...####.###..#.#.#...####.........##.#.##..#.##.##.#.#.#.####...#########..##.....##.#...#.####.####.#.#####.###.##.#.###.####.########.###.###.########...##.####.####.#.#..#.##...#.......##.#.###..#.##...#.#.####.##.#.############....#
#.##..###.####.##.#####.##.....#####.###.#########...#.#.#....####.######.#.###.#.##..#...#....##.###.##..####....##...####.#.#.#####.#..##.####....##.##.##.#####.##....####.#.######.#......##.#.##...##....##.##..#...#.####.##....######.####.###.....##..##.#.###.####.##..#.#.####.#.....##.##....##.#.......##.##.#...##.###.##.....###.#.######.###.#...#.##...#.##.##.#.#.#...#.....#.#.#.#.#...##.####..#.##.#..#.#.##.###.#.##.#######.#####.##.##.##..##...#####...#.####....###..#.#.....##.###..##..#........###.####..#..#.#.###.#.#...#.#.#.......##......###.#######.###.###.#.##...............###########.###########.####.#.##.####.###.........####.#.#.#.#.#.##.##.#####....####.#.#####.#..#.#.#.#.......####.####.........##..#........#..#####.############.####.........##..#........##.#.#...######...##...#...##..##.##############.#.#.##.######.##.#.#####..###....##.####....######..###.#.##..##.###
#.###.##..#....#..#.....###.##.#......##.##.#.#.###.####.##.#..#.#..###.#.#.....#..##.#.#.##.#.##...#..####.###.#..###.#....#.#..######.###.#....##.##.#..##.##....#####.#.#..####.#.#.######.##.#.#..#.#..##..########.##.#.......#.##.......##......##.####..###.#...#....##.####.#.#....#.#.##.##.#.##..#.#.##.##...####.##....#.##.#####...#..##.##.##..#.#.#..#######..#..#####.#.#.#.###.#.#.#.##.##.....##.#.##.##........#......#....##...#.#...#........##..#....##.#.#.#..#.#######.#.##.#.###.##..###.###.#.#.#..##...#####.##.###.###.##.##.....##########.#.##.....##.#...######.#....#.#.####.##.#.......##.##......####.########..###......###.#.#.#....#.#.#.#...#.#...#.....##.#.######.........##.###.#.#.#.#..##....#####.#.#.####.##.#######.##.######.......##..#..#.##.#.#.##..##.###.####......#........#....###.###..#####..###.....##..#.#.##....##########.####...##.####.##...#.###.##..##......#.#####.#
###....#.#####.####.#.#...##########.###.#...........##..#..#.##.#.##.....#.##.###.######.####.###.######.#..#..##.###.##.#.#.##..##......###.#.##..#####.#..#####.#.......####........#.#.#####.....##.##..##...##.....##.###.##.##..#####.#.##.#.##.#....##.##...#.#.##.#.##.#.#....#.#.##.###...#.#..##.#.#..#####.##....##.#.####....#.###.####.....##.####.##...#..###.##....##.#.###...#.#.#.#.##..##.##.####..#.##.###.##...#.#.#####.####.....###.##.#.#..##.##.#..#.###.#.##..#.#.####.##.###.###..##.....###.####..#.#................#########.###......#.########.#......###.#..#.#.#.##.#....#..#.#.#.#.###..##.#.##.......#.....##..##.###.#############.........###.#.#####.#..#.#.....##.##.#.#.#########.#.#.##..#.##...#####.###.##.#................#.#.########.##.##..#######..###.#.#.#.#..###.#####.#.###.#.#######..##.###.##.#.#####..########.#.......#.#.....#.#######.#.######.....###..##.#####.#..#..#
##..#.####.....##...#.#.###...#.#......#######.#####.#..###.#.##......##.####....###.#.##.#....#.....##...##.##.##.#...#..###.##.######.#..######..##.#...#.##.......##.####.#####.#.#.....#.#.#####.######.##.########.#......#...####.....###..####.#.#.########.#.###..#.##.#...#.####.##...##.##.##.#..###.####....###.##..#######.#.....#..####.##.##.##....#.#...##.#####.####.#######.#####.#.###.##.##....##.#.##..##..#.#.###...#####....###.....#########...#.######.....##.##.#.#.#####...#.####.###.#.##...##.####.##.##.##.#.#.######.....######.######.##.#.##..##.######....####.###..#.#.###########.....###.#..##.##.#...#######..###.####.##.#.#.#####.###.#........#.##########################.#....###.#.##.##..#.#....#####...#####.##.#.#.#.#####.#.#...#.#...#....###.#.#..###....###.##..##...#.###..##.#....##.##..#.#.#.#.....##.#########.#.#.#.#.###...###.####......#......#.#.###.#.##...###....##.##
#..####.######..##.##.#.#.###.#.##.#.####....####....##.#...#.#..##.#.####....#.##........##.######.#####.......##.##.##.##...####.####.##.#.#.###.##...#.#.##.#.##.##...##........#.#.#.#...#.#......##.##.##..##..###.###.##.#.###....##.#####.##...#.#.##.##....####..##.#..###.#.##...##.####.##.#..##...###..###.##....##..#.#..#.###.#.##.#....##..#.##.#.##.#.#.....##......#####..#####.####..####..##.#.##..####.##..####...#.#...##..##...#####...#.#.###.#.#.###.#..#.#...............#.#......###...#..###.......#..#.##.######....#.#.#####.##........#.......##.#.........#.##.##...##.#.#......#....#.#####.###.######.#.#.......##.##..................#..##.####.#.#.....#.##.#.######.##.#.#.#.#.#.######.######..#####.###.#...####.##.##.#.#.#.....#.#.#.###.#.###.####.#...#.###..#####.....#####.....####..#.####..##.##.#.....######.#.#.#.#.#.###.######..#...#......#.#.#####.#.#.#..##.#....#.....##.....#
#.##.....#.#.####...###.#.#........####...##......##.##.###.#.##.#..#.#....#.#########.##..#####......##..#####..#.#..#...###.#.##.#....####........##.####.#..####..########.###.####.#.###.....#.##.....#.#..####...#.#....###.########.....##..#####.#.....##.####...##..#.####.#..##.##...#.#.##.#.##..#..##.##....##.#..##...##....############..#.####..#..#.#.##.#.####.#.#####.#.##.##....###...###.##.#####....#..##....#.#.#.#.#..##..##.########.......#.#.#.#.....##.##.##.#.##.#.#.##.##.#####...#.#.####.####.###.#..#.....#####.......###.##.######...#######..##.#.#.#.##.....#.####.#.#.##.###.####.......###..#.#.#####.########....#.##.#.#.#.##.#.###.##...##.#.#.#.###..............#.#.#............#....####..###........###........###.###.###...#....##.#.#.#...##.#.###...##.##..###.###...##.##....#########.##...#.##.##..###.#.#.#.........#...##...#######.#.#.#.#...#####.####......############.#.##
####.#.#..........#.#####...#.#.##.##.#####..##.#.####..#...#######.#.#.##.###.#...#########.....#.#.####.##....#####.#.#.#...#......##..####.##.#.###....#######...##........#...#....#####.##.##.##.#.#.#.####.####...#.#.####.#...######.#####.#.....#.#.#.#...##..#.##.####....#.##..##.#...####.####.###.....##.#..#.#.##..#..##.#.........##...##....#.###.######.#.######.#.#.#.#.....#.####.#####...#.....##.##.##..#.#.##.#####.#.##..###........###########.###.#.#.##.##..###..#.########......###.#.####...##.###########.##....###.######..........#######....####..###.####.#.#.####.#######.........#########.####.#.#####...##.#.##.#.########.#..#.########.#..###.#.#..##.##.#.#.#.###.......####.#.#.#.#.##....##...#.##.#.#...#.#.###.###...##...###...##..........####.#.#...####..##.###.....########.#.........#..##.##.##.###...........##.########....######.########.#.#.....#....#.##.#.###.#####.#######
##.#.####.###########.##..#.#.#.#####.####..##..###....##.#..##.#.#.#####..#.....#....#.##.###.#.#####.#..#..##.##....#.#.#.#.####.###..##....##.#.#...####..###..#.#..##.#.#.###.###.####....###...###.########.#.#..#.#.###....###............###.#.#.#.#.###.#####.#.##.##...#.##.##.#####.#....#..##...##.#.#.##.####.#.#..###..#.#.##.####..###..#.#.####.#......#.#..##............#####.#.##.....#.#.#.#.#..#..#.##.#######....##.#####.##..#.##.#######....##...###.#.##..##..###.#........##.#.#..####..##..#.....#.#......###..##...#......#.###.####.........####..##.######.###.#.......#.#.####.##.#.#####.##....##......#.#.#..#....######.##.#######...##.#.#.#.####.#.##.....#######.##..#.###....#.#.##########.###.###..#.#.#######.#.....##.#####...##.####.#.#.###..........#####..###.#...#.#.......##.#######.#...##.........###.#.#.##.#.##.......##.#.###.#.#.#.#.#.####.############..###...........#.#####
#..########..#.###.##....##.#####.#........###########.##.##.##.#.#.##.#####.#.#.##.#..........#.#..##...######..##.#.#.###.#.##...##..###.#.##..#.#.#...###.#.##.#.#.###.###.##..##..#....##.##..###.....##.........##.#...###.##...#.##.#.#####...#.#.#.####.....##.#..####.#.####.##..##...####.#.###.###..#.#.##..##..#.##...#.##.#..#...#####...##.#.##.....#.##.###.####.#.##.##.#..........#.#########.#######.####.......##.#..#...##...##.#..#..##.....##########..#.##.####...#.#.#####.##..####..##..######.#.#.....####...####..#.#.##.#.....######.#.#.#.###.##.##...........#.##.##.#.......####..#.##....##.####..######.####...########..##..##########....#.#....#.#.##.#.#....#.##..#.##..###.#.#.#....#.#.#####.##########......##.#.#.####....##.#..#..##..#.#.##..#####.##...#...###..##.####.############.#.#####....#.#.#.#...#####..#.#.##.##.##.##.#..................#######......##...####.#.#.##....#.##
##..##.#.###.#......##.#.#..##......#.#.##.##...........#.#..##.....#........#.###..#.#.#.##.#.#.##..########...##..#.#..##.#.#..#.###.##..###..######.#.#...#.##.###...########.####.#.#.##...##...##.#.###.###.#.#.##.#.###.########.##.#.....#######.#..##..##.##..######..#..##...#.#####.######...#...##.#.#.###.###.#.##.###.####.##.#...###.#.##.######.#.#.##...#...##.#.#..##.#.########.......##.#####....####...#.#.####.#.##.#####.##..#.#####..#.#...##.#.#.##.####.##...###.###########....#.####....##..###.##.#####.#..######.#..##########...#.#.###..##....##.#.#.#.#############.#.#####.#####..#.#####....##...##.#.##.#####.##.#.#.###.##.#....#.#.#########.#.###########....#.##.###...#.#.#.##.###.#.#...#.##.......##.##.#######....##.###..#.###########.##.####.########.###.##.##....#..#.####....#......##.#.##.###.###.....#################..#.#.###.##.#.#.##.###......##.####.#....#####..##.#....#
#..###.#..#..######....###################..###.#.##.#.#####.#..#.#.####.###.#.############..#######.#.##.#.##.###.##.#.############.#.###...####.#.#..#####.......###.##....#...##...#.#..##.##..#.##.#.##..##..#####..###............#####.#######.####.####..#..##..##....###.##.###.#........##..########.###.#.....###.##..##....#.##.#.###.######.###....#.#..#.###.#.##.####.#..#........#########...##...##..#.##.##.#....###.##..##....##.#..##...####.#..#.#.#.##..##...###..##.###...###.##.#####..#.#.####..##.##.....######.#######.....###.#..###.#...##....#.##..#.###.............#.#........#.###...#.##..#####.####.#.......#...#.#........#...####.#.#...#.###.####.##.#.#####.##.##...##.##.###.##...#.#.#.#......#.###.##..#.....##..##.##...####.....##....###..##...######.#.....##....#.##.##....###.##.###.##..#..#...#...#######........#.....##.##.#..##.######..#.....#.########.#.#.##.....#.##..#.##.#
##..#..##.##.#......##..##.................##...###..###.....##.#.#.###..#...###...#..##.##########..............####.#.##.#.#.........#...#.###....##..##...###.#..##.#####...######.######..#..#######..####..####...#########.#.###..##....##..........##...###..##..###.###..#....#######.######......##..##..##.##.##..#..###.##.#..#.#........##....##.#.#.##.#...###.##...##.##.#.#.########.#.#.###....#####....#..######..##.##.####.#.#..##..#.###..###.##.....###.##.#..#####....#.###.#.##.....##...###....##..###.#####.#.#.....#.#######.#...############.#########..##.##.########.###.#.##.#....##.#....#.##.##.........#####...###...#.#.##...###.##.#.#.###...#####..#......#####..##.###...#...#..#.###.....##.#.###...#..#####.#.##..##...###....#.#.######.########.###.##.#.##.##....#.##.##....####........#####.#.####.##.###.##.###.######.#########.#.##.......#.##.##.##.##.......#.####.#.#.#####.######
###...###......#.#.##..####.#.##.###.####.###.###...######.#.#..#.#.#...###.######.#.##........#.#..#.##.##.#.##....#.####.....###.#.#.###.###.####....##..#.#...#.###.#..###.####....##.#.##.##.#.....##.##...##....#.##.#.#.#######..####.#####.##.#.##..#.#..##.######.....##.##.###...###.#..##..#.#.####.###.#..##..####.##.###..#######.###.####.#.###.#.#.#..#.###...###.#####..#.#............#.#.##.#####.#######..#.####..#.##....#.#.##..##.......#######.###..########.....##.#...#.#.#.###########..#####..##..##..##.#.#...#.#....##.#.#.#.####.##.##..#####.##.#######..#........#######.#####.#########...#.....##.####..#.##.#####.#.#.#.##.#..##.##.#....#..####..#.##.######.######################.....#.#..#.#######.####..#######.####.#######.#####.##.#.##.#.##.......#.#.##..#.##.#########.##..##.###.#####.###....#.##.........#...##..........#.#.#..###.#.###..#..###.....#######..#.#####.....#.....##
#.###.#.####.#.#.#.#..#########..##..#......##########.##..#.##.###.##.###..##..........###.##.....##.#######.#######.#..##.######.###.##..###.##...##..##.###.#.#.##..##.....#....##.#....####....##.########..###.####..............##......##...###.#..##.##.##.##.#...#.####.##.#####.......###.#######.#.#.#.#.###.##.........#.#####......#####..#.##..#.#.#.##.#####...#...##..##.#.#.##.#.#.###.#.##.###.#.#####.##......#.######.#.#.#.#..##..#.###....##.#...#.##.#..##..#.#.##.#.#........####.#...####.....##..####......#.######.#...........#.#.#.....##..............#####.#####......##....##.....#.#######.######....##....###.#.#.#####..#.##.....#.#.####.##....##.#.....##....#.#.##......##.###.############.....######.##...#.#.###.#####..######.##....#.#....#..##.##.....##.########.##.###..##..#...#####.#.#####.#####.##.#.##...#....####.#####.#.##.###.#...#####...##.##....#####.......####.##.###..#
#.#......#.#.#.#.#.##...##.#..####..######.###............##.#..######...##..##.##.#.##..##.###.#######.##.#........####.####......##..#..##......#.##.#####...#.#..##.##.#.#.#.##.##.####..####.#.#######.#...##...##...###.##.#.###.##.##.#####.##...##..#.##..#.#....###.#....##...##..###.#.#.###...##......#.#.#...#####.######.....##.#.#..#..##.###..##.#.#.#....##..####.####.####.###..#.#.......................##.#########.#..#.###.##.##.##...###.##....###......##..##.#.##.#.####.#.#........#....##.#.####.#.#..##.#......#.##########.##.....##.##....####.#####.#.##..#.##..####.###..#.####.#.##....#.......#.#.#.####.#..#........############.##.........#.#####.#.###.##.####......##.#.....#...#####.....#.###....##..##.###...##...##.##....#.#..####.#...####.###.#..###.....##.##........#.####.#.#####.#...#..##.....#.##.#..##.#####....#.#.##..####...####.####.#####..##.##....###.##.#...############
#...##.#.....##########.##...####..##......##..#.#.#.#.#.##..##.#......#.##.########.###.##.#.#.####.#.......###.##..##....#..##.#.#..###.####.####..#.#.###.#.####.##.#..#.#.#.#######.###...#..#...#.##....#.##.#.#..#.##...#.#.#...##.#...##.#.####.###.###..####.#.##...####.##.#.#####...#.......#.######.##.#.##.##.#.......#####.#####.##...###...##.#..#.#.##.#..##....#.####..##...###.###.#.#.#.##.###.##.#.#####.......#.#..##.#..####..##.##.#.##.....##...#.#.#.##..##..#.##.#.#########.###.###.##..###.##.#...##.##.#.######.##.##.##.#####.#.##...##.#....#...#####....##....#####...##.#....#.#....##...#######.###...##.##...##.#.###..#.##...##..#.###.#####.#.#.#....#####.#....##.####.#.#.#...###.....#####...##.#..##.##.....####.####.##.####...##.##...###.##...####...########....#####.#####...#.........###.###.##.##.##.#.#####.#.###.##......###.#.####.#..........##..#..#.#.##.####.##.##.#.##...###
##.##..##.#.##..##.......###..#...######.#..##.#.#.#.###..#.###.#.####.#.#####.#.....#...####.#.#......#.##.###..##.##..##.#####.###.##...#....##...####.#.#.#..#.###..##########.#.........#...##.#...##.#.##..###.##.###..#.###.###..#.##.##.....##..#...#...##.#..#..#.#..##..#..###.#####.#.##.######.......#.#.#####...##.##...#####......##.###..#######.###.#..##.##.#.##..##..##..#..##.###.#.#.#.#..######.#.....##.##.#.#.#.##..##..##..##..##.######.#..#.#####.#####..##.#.##.#....#####...########..##...#....###..##.#.....................###....#..#.##.#.#.#....##.##..#.#.##...#########.###.#.#.###.#..........##.###...##.#####.#.#.##.#..#####.....#..##.#.......####.#.#...#####.##.###.#.#.#.....#.#.....#.##########..##.####..#.#.....#....###..#.##.#.#.#..#.#...##.#......##..#.##..####.#.###.#.###########.#.####.#######...........#########.#...#......#.##.#######..##.##.#.......#######......###.#
##..##.#..#..##.##.#.#.###.##...#.##.##..##.#..###.#####.##.##..#.##...#.#.......##.######......#.####.#.#....##..#.#..##...##...##...#.#####.##..#.#.#......##....#####..........#.#.##.#.###.#####.####.#.###.#....###...##..####...##.#...##.##.##.##.#.#.#....##.#.#####..##.##.##..#.#...###.....####.###.######.....###...#.#...######.#.#..#.#####.##.#..##.##..###..#.##.####.##.##.##....#.#.#.####....#.#.#####.##..###......##..##.##.####..#.######.##.#....##....#####..###..##.###.#.#####.##.####..#.#.#.##...##..#.#.#.#.#.#.#.#.##.#.######.##.#.#####.#######.##...####.####.#####.....###...#.#.#.####.#.########.#####..###.###..........###.####.####......#########......#...##......##.#####.##.##.##.#.#####.###...#.##...#.##...#.#####.####.##...##.###.#.##.#########.###....##..#.##.##.#.#.......#######.#...###....#.##..#.####.##........##...##########.##.......##..#..#.###.#.#...#.#.##.######..#
#..######.#.##.....#.####.....#.#.#.....##..##.###.##....#...#########.###############.....########....#.##.#..####.#######....#.###.##.#......##.###...###.##..##..##...#.######...#.#..#.#....#.#.....###...####.#######..##....##.######.##...#.#..#..#.#.##.#.##.#.#.....##..##..##.....#...##.##....#####...##...#####...#.###.#...##...####.........##.##.##.#..##...##..#..#.#.#..##.##.#.##.###...###.#...#.....#####.####.#.#..##..#.#...#.##.#...##....###.##.##.##.....##..##.##.........##.#.......#.####.###..#####.#.#.#.#.#######..#.#......######.....#...##########...##............##.######.###.....##.#........###.####.......##.##.#.##.....#..#...##.####......##...###.##.#..##.########..##.#####..######......###....##.##.####...#..##.#.#..##.####.###.#.....####..##...#.##..##.............###.#.......#.##.##.######.###.#....#..#####.####..#..........###..##.####..#############.#...............##
##.##.....#.##.#.#.####...#.#.#.#.#.###..#.#####...###.#.#.###.#.#...####.#..#..##.#.#.#.#.#.....##.##.###..##..#######.#.####.###....#######.#########...#..##..##..#.#.#########.##.##.#.##.#...##.##...##.###....##.....##..#.##..##.#....###.######.##.#.#..#.#..#.####.####.#..####.#.##.######..##.##....#.#..#.#######.#...###.###..#.##.##.#.#.##.....#..#.##..#.#..##.##.#...#.###.######..###.###...###.###.#####......###.##.########.##.#..#.#..##.####...#.##.###.##.##.##...##.##.#.#.##...#.#.#.#.##.....##.....###.#####...##########.#.##..#.###.##.##.#...#.##.#.######.##.##.##.#..#....#.###...##.##..#####.######.#.################..#.#.#...#######..####.#####..#..########..####.#.####..#.....##....#.###.####.####..#..#..##..#.#.###.#.#.###.##.........###......###.#.#####..#.#####.##.#.######.###.#...##.....##.##...#.##.############..##.##.###.#.######.##....##....#.##.##..#.#.#.##############
#..#..#.#.######.#####..#.#.###.#.#.#...####.####.##...######....###.##...##.##.#......#########.#..##...##..##...##.............###.##........#.##.#.#.#.##.###.##.#######........##.##.#.#####.##..#########.###.####.##..##.#####.#....#####...##....##.#.######.####......##.#.##..###.##......#######..#.#####.###.......#######...##.#.....#.#.#.##.#.######.##.##.#.##..##.##.##...#......##.#.###...#...#####.....###.###########.##..##....##.#.####.....##.##..#..##.##..#..##.##...#####.#..#.#.#####..###.###..#.#..##....##.###.#.###.##.#.###...#.#########.#.............#..#.##..#######.#....####..#..##.....####.#.#.#.....#.#.#.##.##############.....##...##.......###..###.####....#...#.##.######..##.#..........#...##.##.##.####.###.##......#.#.##.###.###..##.######.#.#..##.##.#.....#.#..#......#...#######..#.#.......#####............###..####...#######.######.###..##.#.#...#.######..............#
##.######.#.......##...##.###...######.#####.#.....##.##..#.####.###.####.....#.##.#.####.##.##....##..###..####.#########.#.#.#.#....######.###.#......#..#..####..#.#.#.#######.##..#..#.#.#.#..##.....#.##..#...#....#..##.....##.#.##...##..#..####.##.#.###.....####.#.#########.##...#..#.####.##.###.#...##..####.##.#.....#.######.##.##.###.#.##.#......#.#..##.###..##..##.###.###.##.##......##.##.#.....#.#.#..##......##..#...#.#####.#####....###.#.##..#.###..#..##.#.########....##...####...#######....##.#.#.####.#.##............###..####....#.##...#.#.#.#.#######.#.##..##..#....#.##.###..#.##.####.##............#####.............##.#.#.#..#.#.###########.###.#.##.#..#.######.#........#.###.##.#.####.#.###.####....##...##..##....######.#.#...##..##.###........####..#.#############.#.#.#.##.####.##.#.####.#####..#..###.##########.#.###.###..#.#......#.############.#.###.#.#.####.#.#.###.#.##
#..##.....#.#.##.#####.##.#####.##.#.#..##.#.##.##.######........#......###.#......#.#.......##.##..##...##.#.########.....#.###.##.###......##....##.#.##.##..####.#.....###......##.##.#.#.....##..#.#...###...###.#.##.####.#.###.#.##.###..##.###....#.#.#...##.##.#..#...##.........###.##..........####.#######.#..#..##.##........#.#...#######..###.#.##.####..#..##.##..##...##..##.##..##.######.##.#.#.#.#.#.##.##.#.##..##...#....#.#####..##.###...#..#.##..##.##.##..#.#........#.####.##.#..#...##....##.#..###....#.#..#.#.###.####...##....##.#......#####.#.#......############...#.##.##.....##.#...##...#.########.#.......#######.###..........######.###.....#..##........##.###.#..#.#.####.....###############....##..#####.####.##..#####.........#..##..#.##..#.###.######.#......##....##.#.#.#.##......#.......####..#.##.######....###.#.#......###.....######...##.#.##.#..#.#.#.#.#..##..#.#.###.#..#
##..##.#.##.###...##...#..#.....#......##.......#...##.#########...##.#..##.##.#.#.####.##.#....#..##..####.#..##.##.####.##..##.#...###########.#.#..###..###...####.###.#...###.##..########.#..##.#.#.#.#.##.##...####..#.#.#.#.#####..#...#####...##.#####.###..#....###.####.#.#.#.##...##.##.##.##...##...##....##.##.##..#.##.#.###.#.#......##.####.#..####.##.##.##..######.####..#..##.##......#..#.#.#.#.#.#..#..#.#..##..#.####.#.#...##..###...#.###.################.#.#.#.####.#....#.#..#.##.#.#####.##.##..##.#######.#.#...############.######.##.####.######.######.#.#....##..######.##.#.########..#.#.#........#.##.#.##......########.####.#...#.#......###.#.####.#.#.#..........######..#.#.#####.#.##...#.####.####..##.........#.##.#...#.#.#.####..#.##..##########..#.###.####....#.#####.#.#..##.#####.#####.###..#####....###.####.......######.###.#........####...#..#.##.........######.#...#.#.##
#..##..###...###.#####.#.###.##.####.###..#.##.##.###....##......#.#..##....##.#.####...#..#.##.##..##..##....##..#.......#..###.#.#..##.......#.#.##...##...#.#.#....#.....#.##...##.#...#.####.##..#.#.#...##.#######...##...#.#.##.##.####.##..##.###...##...##.##.##.##...##..#.###.####..#..#.#...##.####.####.#.##.##..##.#..###..##.####.#.####.##...#.####..##.##..##.#......####.##.###.##.######.####.#.#.#.#.###.#.#.####.....####...#..#.##.##.####...####.##.###.##.###.#.###....########.##.######......#..####.....##.#####.#.......##..####.#.#######.#....#.##............#########.#.#########.#####.##.#.##.#.#.###.##.#####.#####....###..#####.#.....##########.#.###########.#.###...#.##.######.#.#....##.##.#.#....##.####.###.##...##...#.#.#.#...#######..####.#....##....#....##.#.##.....###.#.##....#.#....####.##.##..#.#.##.#.##.##.###.####.....#########.#....###.#.##.#..###.##.##....####.#######
#.####.#...#.#...#####.#.#.#..#.#....#...##.##..#####.##....#.#############.####.##...####.###..##.##..####.#.###...#.##.###...#.#.#.#####.###...#..#.#.#..#######.######.#.#..##.#######.........##.#####.######.......#.#..#.###.......#.......#####...#.#..#.####..#..###.##..##.#....###.#######.#..#....#..##..#.....#.##..##...##..####...#....######.#......##..##.##..#.##.#..##..##...#.##......#....#.#.#.#.#...#.#.#.##...#.#...###.###.......#....#.#..#.#.##..........#####...##...##......#....####.##.##.####..#.#..#.##..###.#####..#.##.#......#...#...##...##.#.##.##.##...##..#......#..#.##..#.#.####.#.####.###.####.....#.......####.##.....####.#.####.#....###.#.#.#.#.#####.###.#.#..#....###...###.###.##.#.#.##.#..#.##...####.#....#.#.#.####.##.#.######......####..####.####..#.##.#.#...#######.###.#.##...##.#...##.#.####......##.######.#.###...#.##.#########..........############.###.#..##.#.#
#....###.###.###..##...###.#.######.##.####.#..##...###..#.##.#...##.##.....#....###.###...##..###..##.##...###.##.##.#...##.#####.####.########.##.#.###.####.....#......#.##.####..#.####.####.##...##.....#.########.###.##.##..#####.##.#.#.##..#..#.#.##.#.#....##.##....##.#..###.##.........####.#.#.##.####.####.##..##..#.#..##..##..#.#.##.###.##.#.###.##..##..#####.#..##..##..##.#####.#.#.###.#.#.#.#.####.##.#######.##.#.#..#######.##.#.##.#.#.##........###########.#..#.###.###.#.#.###.###....##.####....##.##......#######..##........######.###.######..#.#..#######.####.##.####.#.##..#.##....#.###..###......#.#####.#.###.#.......#.#.#####..###......#####........#....####.######.#.####.#.###.#.#.#.##.#....####.#.#..#.###..##.###.###.###.........#.#..######.#..##.......#########.#.#.....##.........##.###.#.###.....#.#.#######....#.......#.###.##.#.#.#.##..####.#.###..###...##......##......#
#.######..##.#...###.#.#.....#.##...##....#.#######..#..##..#####.......##.###.#.#.####..#.#..##...##...##.####..#.########...##...#..............#.###......#.##.##.#.#.##.##...###.....######...########.###...........##..#####.#......###.#####...##.###..#.##.#.#..##.####..##.##..##.##.####..#.#.######...##.#.....#.##..##.##.###..######..#.#......#...#..##..##..#.#####..#####.###...#.###.###.#.#.#.#.#..##...#....##...##.#.##.....##...########.####.#.#.##....#...#....##.#..##.....#.#...#...###.##..#.###.#..#..#.#.##....##.#.########.#.#####.........#########..##.#.#..#.#..#....###....##..#.##.....##...##.#.#....#..#.#...####.#.#.######.#.##...##.######.#..#####.##.####.#....###..#.........#..#.#.#.##...##..#.#.#.#.####.#####...###.....#.####.####.##.....##.#.###.###.#......#.#######.#.#####.#.#.#..####.....##.##.##......#.#..####.####.####.#.##.#...#..#.#######...##.#...#####.######.#.#.##
#...##...######.##...#######.#....#.#..#.##.#....###...#######.#####.##..#####.#.#..#...#####.##.#..###.#####.##.#.#.#.##...####.#.##########.###.#..##.#.#.##.#..###########..#..####.#........#.##........##.##.####.#.##.##########.#.##.....##..#..#..###.#..#####.###...##.##..##.##..#.....####.#.##...##.#####.#.#.###..##..#....##..##.#########.#.##.###.#######.##...##..##.....#.###....##.....#######.#.##..#.#.####..#.##.#.#..#####..#.......##.##...#######.#...#...##..###.####.#.##########...####.##.....##.#.####..##.#.............#.#.......#.###.#.#.##.##.##......#.##.#.##.#####..##..#.##..##.#####.#..#.#.#.##...####.#....#########.##....#.#.............########....##.#.####.##...#.###.###.##.#.#.##.#######.#.#.#.#.##...#.#######.#.#.#....#...#.....#####..........#.#.###.##..##.#.###.#.....#.#.##..#.##.####..####..#.#.##.#.##......######....#..#.###.##.#.....##.##....#######...##.########
#.#..##.##.##.#.##.#####.....#.##.#.##.#.##.#.##.....#..#.##.....##########.#..#.##.###..##.#.##.#.##...#.#.#......#......#....#####...#.......##.##.#..###.##.#.##.......####.####.#####.#.#.#.#.####.#.#.##...####...#.##..#.##.#....#.###.#.###.###.#.##...#.###.#####..######..##..###.##.#.##.........#.##....####.#...##.######.#####.........##...#..#...#.######.....#.###..#.###.....#.############.#.####.###.###....####..#.#.##.....##.##.#########..#......##.#.###.#.##.##....#.#.###.#......#######..#####.###.#...##.##..#.#.###.#########.##.############.##.....##.########.......###..######....#####.#.######.#.#..##.##.###########..#.#.....#.##.#.##.####.##.##....####.###..#....#.#..#.###.####..##.#...##....................#...####..###.#.##.#.#.#...#.#.......#.#.#.#.####..####..###.#...###.#.#####.###.#..#.#..##..###.######....##.######.#.#..####.##..........#.#######.######.##..#.....#.#.#.#
#.#.###.#.......#..#.....#.#.#..########.########.#.###.#....#.#......###.....#####.#...##.....#.#..##.##.....#.##.######.############.#####.#.##..#.##.##..##.#####.#.##.......##........###.#.###....#.#..##.##....###..##.#......##.#.#...#...#.#...#..###.###.......##.....##.######...#..#..##.#.#.########.#..##..#.#.##.....##.#.....#.##.##########.##.##..##....##.####...####...#####.................###..##.##..#.##....#########.######.......#.#..###.#.###..#...###.##.##.#.##.........##.#.#####.#.##.##..##..#.###..###.###..##.......###.##...#.#..##.#.....##.######.#.#.##.##.###.#.##..###.####.##.........########..........###..##.#...##.#########.....###.....##...##.#.#.##.####.#.#####...##..##....#.#..#.###.#.####.###.#####......##...#..#.###.#.#.#.##.#.#.########....##...##.##.#...#..##.#.....#.#.....##.#.##..##.....#.###.#.....#.........###....#.####.#######.#.#.#.###....#..####.#...#...#
#.####..###.#.#.##.##.########.##.........##.#.#######..#.#########.#.#.#####.#.#.....###..#.#.#.##.##.#####.#####.##..........#.#.##........#.##.##..#.##.#####.....###..##.#.##..#####.######..###.#####.##...##.#...##.##.##.#.#.##.####.##.#####.###.##....##.#####.#..#.#.##..##.#..####.#.###.###.##....##.#.####.#.###..#.#.##.####.####......##.....#...#.####.#.##....##.###...#.....##.########.#.#.#.#.##.##..#.##.##.##.#.#.#####......##.#.##.#...####.########.#..##..#.##.#.##.#.#.########.......#.##....##..##...##..##..###.##.#.#.#...#..#.#...##..#.#.#########.#.#.#.#.##.#####..#.##.##...........#.#.######.#.###.#.########.##.#....#.#######..#####.######.##.##.###..........##......#.#.#####.###.######.###.###....#...#.##.####.#########.##...#.#.#####..#.#.#.###..#.#####.#.........######..#.#.#####.#.#......###.####.###.#...#####...#.#.###...#.##.....##..######...........####.#########...###
#.##...##...#.####..###...#.#..##.#.#.#.###..........#######..#######...#.#####.##.#######.###.#.##.#...####..###...####.##.##.#...#..#.#.##.#.#..##.##.##..#.#############..#..#.######....##..##...##....#############..##..#####.##.##...##...##..###.###.#.#####......##.#.#..##..#.##....#.##..##.....#.###.#.##...#.##..######..#......##.#.#.#####.####.##..##..#..##.###....###.#.#.###.........#########..#####.#.#####.#.......##...##.###..#..###.#..##...##.#.##.##.##.##.####.##.#.#.......##.##.##########.##.##..#..#.####..####..#.#.######.#.#.#..##......#....#.#..............#.##.........#.#.##.##.######.#.#.#...######.....#......#.##...#.#.#.##...####..##.##..#.##..#.#.#.##....#.##.......##..#.#..#.#.........##.#.#.###......##.###.#.###.##.#####.....##.###....#..##...##..###.##.############.#...##..#.###.##......##........#..########.#...#.#....#.###.##.##..#.#.###########.#...##.##..#####.#
####.#.##.#.####...##...#...##.#############.#.#####.##..#.##..#..###.#......#.....#........##.#..#.#.###....##...###.....#.#..###...######..#.##.#..##.###....#######......##.##.#......##..##..##.##..##.....##........#######.##..####.#.##.#####.#.###...#..##...###.#####.#.####....##.#.#.##.#####.#####.#######.##..##.....###.##.#.###..#.#.#####..#.#..#.##..###..#..###.###...#.#..##.#.#.#.##########..####.###.....#.#.#.##.####.###...##.##.#####.##..#..#....#.##.##.##....#.#..###.#####..#.##.....##.....##..##.##.#######....##.###...###########....##.#...##.....#.##.#.##.##......####.#.##.###...####.#.....#.#.####.#.#.#####.###.#######.......#..####.##..#..#.####..##.######.####.#..#.#.#..##.#.#.##.#.##.#.#.##..###.#.##.#.#.##.........#.#####.##.#.#.##.####.#...##..#.##.##....#......#..#.##.#########.##..###.#.#....#.#.##.##........#.###.###.#.##...#..#....##...........##....###.....###....#
#....#.#..####...#.#..#####.....##.#.##......###.#.#..##.#..##.#.##.####.#.#...#.#.###.##.#..####.###.##..##.######.##.#.#####.#.#.###.#.###.###..#.##....#.#.##.......##.#..#########.#.##.##..##...####..##.##..####.#..##........##....#.##.##......##..#.##.#..#.##.....##.#.#..##.#..###.###...##.......#....#.##..##.#..#####...##.#...##.#.#..##...##.########.#...##.##.....##.##.#.##..#.#.#...#.#.#.#..###.#..###.####.#.#.##..##..#.#.#.####....##...##.##...#.#####..#.##.##########......#.####..##.####.##..#####..#..####.#.#.##...##.#...#.#.#.####.#.##########.#########..#..##.#.#...####.##...#.#........###......................####....###.#.#...##.#...#.#####..##..###....##....####.####.##..............#.###.###..####.####.#.##.#.#.#####...#....#######....##.##.######.######.#.########.##..####..#.#######...#.####.########.######.##.#...##########.###.##.#####.##.####.#....####.#.#####.#.##.#
#.#.##.##.##.###########.###.#.##.......####.#.....##..#.##.##.......##..#.##.##.#.##..##.##.##...##...#######.#.##.#..#.#######...#...........#.##..##.#.#.#.#..#.#.###..#.##..##.....#..#.##.####.######..#..##.#....#.#####.###.##..#.##.##.######.##..##.#######..##.####..###.##..#####....#.#.##.##.#.##.####.##.######...#######..#.#.####.#.##..#.....##.#.#..##.##...#.#.#..#.##.#.###.#####.###.#.....##.#.#.##.######.#.#.##.####...#.#...####.####.##...##.##...##..##.#.....##......#.######.##.##.....#.###...##..###..##....#..###..#.#.#........#.###...#.###.####......#####.#######.###.####..###.#.####.#...##.#.##.#.###############.##.##############...#....#####....##.#.#.####.#....#....#.###.######.##.###.##....##.........###..#.#.#.#######...#####.#.###.#.#..##.....##..##.##.#...........#.###.##.........##.##..#.#......#.###...##.#########.......#####.##.......##...#####.#####.............###
###..######..................#..##.#.##...########..##.#.#.....##.##....####..#..#.###.##.##.###.##..#.##.............##..#.#.#..#.##.#.#.#.#.##.##.##..#.########.###...######....###.##.#..#.##...#......#####..####.#.#.#...###.#..##..#..#.#.......##.##.#.##....##....##.####.########..##.#.#.#..##.#..........#.##.....###.##.###.###...##.#.######.##......##.##..##.####.#.####..#...#...##..##....#.#.........#.##...###.#..#....##.##.#.#..######....#.#..#..##.###.##..#.#.######.##.#..##.#...#..##.##.###.#.####.##.#.####.###.##.##.#.###.##.#.#.....###............##.#.#...###.##.##........########....#.#.######.##.#...###.#......#.....###..#.#.#.....#.####.....#.#####.###....#.#.####.##.#.#.....###...########.#####.#.#.#.##########.###....#######.......#######..#########....##.##.##.#######........#.##.####..###...#.##.#....##.####...#.#.....###.#.....###..##.####..###.##........#.####.##.#...#
#...##..#####.#.#######.##.#.##..###.##.###.#.#.###........#.########.#..####.#.##.#....#.##.#....####.###.##.#.###.#.##.##.....#######.###.#.##..#.##.#####..######...#..##....#.##...##.##.#..########.#.....##.#....#.#.#####...#.###.##.#########.##..##.#..##.###..########...#.##.....#########.##..###.#.#.#.##.######.........##..##.###..###.......##.######.#..##...##..#.#.###.##.##.#####....#.##.##.#.#.##......########.#.####..##.#.#.##.##.###.##.#.###.##...#..##.#.#...##....#.##......###.##...####.......#..#.###.####.......#.#...####.#.##.####...#.#.#########.###.#........###.###.#........#.#.########.#######.#.......##.###.#####.#.##.....#####....##.####.###.....##.#####....#..###.##.##...#.#......#.#.....#.###.#.........##..##.####.#...#.#######.#.#.##........##.#.##..##..#.........###.#.##.##...###...#.#.#..###.##.....#.###.....###...#.#.#######.##..#..##......###.##.###....#..###.###
###..##.......#.#.......####..#.##...#..###.........##.#.#.###..##.#..####....####.#.#.####..##.#....###...########.###...##.##.#.......#...###..##..###.....##....######.##.######..#.##..####.#........#.#.#..####.#.#...##.####.#.#....#....##.....##.##..##......##......##..#......###....#...##..##...#####.#.#..#......#.#.##.#######...##...###.#.#..#......#.##..#######.#.....#..#.##....##.#.##..########.###.##.###.....#.#...###..#.#.#.##.....##..#.#.##..##.#.#.##..#.#.######.#####.#.#.######..#..#.###.#.#.##........###.##.#.##.#.#....###..#....###.#.#.........#.....####.#.#...########.#.##.##.#.#..###.#......##.#.#.#.#..#................######.###.####...####...#.###.....##.#####...#.#..##.###.#.######.###########.#.###########.....#.#.#.#.....#.##......##.#.#.##..#.#.###.##.###.#.#.##.########..###...#.########...#.###.##....##########.#.###.......#..##...##..#.##..########..#.#####.....#
####.#..##.#.#######.#.##....#######.#.##.##############.#..###......####..#.##....#.#....####..#.####...#.#.#.#.....######...########.####.####..##...###.#..###.##.###...####.....##.###....#######.##.#.#.##..##..###.###.......#.##.#.#.#.##..#.#.##.###..##.##.#####.#.##..###.##.##...##...#.##.##..#....##.####.##.##.##.#.#####.##.##.####.##...###.###.#.#.#.###....##...#.#.#.##.#.####.###.########.....#...######.#.##.#####.##...##.#.#....##.######.#..#########..##.#.#...##....###..#.#......##.##.....###.#####.#######....#.#.######.#.####.#####...###.#.#.###.####.##....#.#.#.#...#.##.###########...##.#...###.##..#.#.#.#.##.#.#.#.#.#.######..#.#..#####.#####.##.########.##.##.....#.######.#....###.....##.###.#.....###.##.#....##..#.#.......##.##......#.####..#.#.##.##.#..##.#...####.#..#........##.##..###........#.#.#...#..##.#..........###.#################.#####..##...#....##.#.....###.#.#
#....##########..##..#.##.##.#.#.#...#.#...##....#.......##.#.##.##.##....##..###.#####.#######.#.##.#.#.#.#.....#.#..##....#.##.......##......#.###.#...####......#.....#.##...#.#..###...##..##.#...####.#.##.####.#...##..#.###.####.#####..##.#.#.##.#.#.##..##....##.#.##.##.#..###..#..#.#.######..####.##...##..#..#...#.#...#.#.#...#.##....###.##...##.###.#.#.#.##..#.#.#.###.##.#....#.#............#.#####.....##.#.####.#...###.###.#.##.#..###########..##.##.#####..####.##..##...##.#.#.#######..#.#####.....##..###.#.###.####...#.####....#....##.#.#####.#..#####.####.########.#.#..........#...###.#......#...#.#####.#.#####..#.#####.#........##.#.##.#....##.#.#.........#.##..#.##.##...###..###.##########........##.###...#...###########.####..#####.#.#.#....##.###..####.##..#.###....###.##.#####.###.##.##...#####.##.#.#.#.#.##..##.#.###########..........###........#.##..#...##.##.#.#.###...#.#
##.#.####.#...##.###.#..####.#.....#.#####.#####...#.#.#..###.##.#..#..##.###.###...##..##...#..#.##...#####.##.#####..##.#.#..#######.####.####.#.###.###..######...#.#.#.#..#.#.##.##..#..#.##....#..##..####.#.#..#.#.#..#####...##..##....#####.###..#...##.####.#..###.##.#....##...##.##.#...##...##.#..####..##.##.##.##.#.#.......#######.#.##..##.#..#...#.#.#...###.#.#.#.##..##.#.#.####.#.#.###.#.##....##.###...........#.#..##...#.#.#..##..#.##...####...........##....#..##..#.####.###...#.#.##.#....####.#..##.......###...##.###....##.###.##..#.#...###.##...##.....#.....#..#.#.#.##.#######.###.####.###########...#.##########.....###.##.###...........##........#############.#..#..#.#...##.##.............##.###..#.#.#####.####.##..##......#.###.####.###.##.##.####....#####.###...#########...#####.###...#.#.....########.#.#######..#..#####....##.#########.####.#.###..##.##.#####..###...###.#.#
#..###....###........##.##.####.##.#.#.....#.#.#.###.###.###.....########..##.#...#.########.##.#..##.##..####..#.#...##..###.##.......#.......#...###...##........#.#####.##.###..#####.#.########.##..##..#.###...#######.#.....###..#####.##.######..####..#.#....#.##....#.########.##..##.##.##..#....##....#.#####..#...###.#.###.#....##.###.###.#..##.#########.#...#.#.#.####.##..#.#....###.#..########.#.#....##.#.#.####.#.##.####.#.####.##.##....#..##..##.##.#####..#########.#..##..##..#...#.##.##.#..##..#.###.#######.##.##......#.##....#.##.##.#.#...####.#....##.###.##...####.#.##...............##....#.#.#.##.#######.#.#.##########..#...#.#.##.#.#.##..#.##.#....#####.#.#..#.########.##..####.#####.###.##...#.##....###....#.....######.#.#........#...#..####...##.############.#.........###.....#.####.##.##.##.......##.#..#.#.########...#.####...............###..##.##...#.....##...#.#..######
#.#######.#.####.##.##..#..##...#..#.#.#.#........##.#...#.#####.#........######.####.#.........#.#######...#..##...#..#.###...###.#.#.####.#.######.#.###..#.#.##.#.##..###..###.##.....#...##.....##.###.##..########.#.#######...##.#..........##...##....######.#####.#.##.##.......###..####..##.#.##..#.#.##.##....###.##...#.##..##.#......#...####.#........##..#.#######....#..##.#####.####.##........###.##.#..#.#.#....#.####...####.#....#.....#.#######..#.##.....##.....#..##.#.###.##..##.#....#..###.####.###............#.##.#.#######.#.####...###.###....###.#######.#####.##.##.###..##.#.#.#.#.#.###.####.........#.##........###.##....###.##.############.#######.#.........##.#..###...#..##...##.....#..#########..##.#.....##...######.########.###.#####.##....#.####.##.#.##..#.###.##.######...#.#......#.##.#...#.##.#.##..##.........##...###......#.#####.###.#...##..#..##.###.####..###.#.##.#..#
#.#..............#...##.##....###.####.####.###.####.###.#.########.#####..##.....##....#.#.#.#.#.##......#...##..#.#.##.##..#######.###....#........######.#.#.#..#....#######....##.##.#.########.##.##...##...###.#.....##.....#..######.#.#.#..###.#####.#..###...##..#.##..##.#.##..###....#.##..#..##.#.#.##########...###.##..##.##.#.###.######....##.########.##....#.#..#.##.##.....##.##...##.#.####...#.##.#.######.#.####....###..#.#.#.###.######.#.##..##.###.##.##.#.#.#.##..#...#####..#.##.#.#########....##.#.##.#.#.###.##.#.....#.#.###..###.##....##.#...#.............#.##.#######.##.#.#########........##.##.#.#.##.##.###......##.#.##..##...#.#.#.##.#.....#.#####.#.#####..##.....#########..##.####.##.##.#######..#.#.#..###.##.##........##...#....######.#.###..####.#.##.##..##..#......##.##.#.#.#.########.###########..#.#.#######..#.###.#.#.##########.###.#..#######...##....##...#.#......##
#.#.##.#.##.##.####.#####..#.################......####..#......#.#.#.....##..#.#..##.#.###.#.#.#.##########.##..##.#.##..######.......##.#.#.####.#..##....#.#.##.#.####..##...#.##..#..#....##....##..##.#####.....#####....##.##.###.....#.#.####...#.##....##...#.##.##..#####.#.#..##...#.##..##.#.###.#.#..##.##.....###...##.###.####.##.......##.#.#.........###..##...##.#..###..#.###...##.##..#.#####.##.######.#.####.#.###.#.....##.#.#..##..##.#.....##.##...#.##..#.###....#.###.###..##.#.##.#..#.#.##.#.#.###.#.#..#.#####.#..###.#.#.#.###.###...##.#..#.#.#.#.####.##.##.####........#.##.#......#.######.#.##..####...##..#...#.#.#.###.#####..#.#..........#####....#.####.....#.###.#.#.....##....##.....#............###.#.#.#.##.......##.##.#.###.#.######.#.#######..####....##....##..##.#.##############...#.#....#.#......##.####.........##.....#.#.........#....###.####.#.#.#.##.####..#.#.#.##.#..#
#.############..##..#..###.#.#...#.#..##.#....##.####.#######.#...######.####.#.#.#########.#.#.#.#...####.########.#.#..##......#.#.###..###...#########.#.#.#.#..#.####.##..#.#..#.###.#.#.##..#.##..######....#.#.......##.##.#####..###.###....#####....####..###.##.##.##.....####..##.##.##.##..#...###.##....######...##.###.#.#....#..##.#.##..######.#.##.###...###.#.#..#.##...##...#.###...##.#.....######..........##.....#.###.#########..##......###..#.###.##..##.#...##.######..#.##....#..#.##...#....#.#.#.###.##.#...#.####.#######.###.#...######.##.###.#.#...#######.......##.#####..#.##.#.#........#.#####...##.#....##.##########....##..##.##.#.###.########.#......##.####...#####.##.#####.####.#####.#.#########.#.#######..#.#.#.....#.#...#.#............#.#.#.###...####..####..#####.....##.##.######...##.#.....######...####.#####.####.#.####.####.##...#.####........###.#####.######.#..###.##
####..#.#......####.##...#######...##.#..###.##..#....#.#.#######........#.####.#.##......#.#.#.#.#.#.......#.#.#.#.#.#.#######.#########.#...#......#.####.#.########.......##.##.#...###.###..##.#..##..#.######.#.#.###.##.##...##..##.....##.###..####.##....##....#.##..#.#.#.#....##..##.##.##.##.#..##.#..##..##....###..##....#.#####..###..##.##.#...#.##...###...#.#.##.####.#.##.#.#...##.##..#.#.####.##..#.#################........##.#.##..####...#.##..##.##.###.#.#.##......#.##....#.##.####..#...#.####.....#.#..#.#....##.....#.#...#....#....##...#...#.#.#.#..###.###.######......##.#.##.####.##.#.##.....##.##..#.#.###..#.#.#.#.###.####..###..#...####.....###.#.###############.##..###.#...##......##.#...........#.......##.#.#.#.##.####.#######.###.##.#.........#.###.#..##..#####....#.#........#.##########.##.####.####...##.....########...##....#..#.#.#....######.#...#....#..###.#..#.#######
##.##.....##.#....######.##.#.####....##.###.##.##.##.....#.##..##.#.###....##..#..######.#.#.#.#.#########.........#.#...#.#.###.#.......###.#.#.####....###.##.......#.#.####.##.#####...##..######.###.#.##.....#####...##.#..#..##..##.#.##...###..#....#.#.##..#.##..##.########.#..#.##..##.##.##.#.###.##..######.#...##.##.##.#...#########.##.#....#.#.#..#...##.####.##.##...#.##.###.#..#.##.####.......#.######.#.#.......##..#.###.##.....##....#.#.####.###.##...#.#.#..#.##########.#.#.##.#####.#######.##.#.######.#.####..#.#.#.....#...#.###.#.###.##########.##...#...#....####.#.#..#.#.#.....#..#.#.###.#####..##.#.#...##...........#...##.##...########..##.###..####.#.#...####....##.....#.#..###.#.#####.##.#####.###.#.##.#############.##.....###.##########.##.####.#.#.#.####.#...##.#.#.#.#.##.#...........##.##.......####.###.#.#....##.#########.##.##.#.#######...###.#.#.##...##...#.##.......#
#.....#.#.##.#.######.##...........##........#..######.##....#.##########.###..########.....########.#...#####.#.#.##.##.##.........#.#.###...#.#..#####.###..###.##.#.###.##...#....##..#.###.##......##.#..####.##.....#..####.##.#..##..#.#..#..###...##.#.#.##.##..##.##.##...##..#.##.#..##..##..###.##...##..##....##.###.##..###.#..#.##...###..#.##.###.##.###.#.....#.#..###.##..#..##.##.#.#...##..###.#.#.#.##.#.....##.######.#...#.##.##.##..#.##.#....#.##...#.#.######.#.......##...#.###...#..#..........#.#...##.###...##.##.###.###.##.##.#.###..##.#.###.#.####..#...######....#####.##.#.##.#####.###...#...#.##..#.#.#.###..###.##.##.#.#.##..###..........###...##..........#......##.##.###.#.#####..#.#...###......####..#..#.....#.#.#.###.###.####.###.###.#.##..#......#.#.#...##.#.##########.#..####.#.#.##.####.##.#####.#.####...#.#.##............####..#.#.........#...#####.##.#....###.##.#######
##.#########.#...##......#.#.#.###.###.###.###.##....#######....#.#.#.......##...##.....#.#.##.......###..#....#.#.#...#####.#.##.###.#.#####.#.##...##..##..##....###.#...##.#.##.#.##.##.#....#####.##....##.....#####.#.###....#.#.####.#.##.##...##.##..#.#.##..##.##.##.##.#....##.##.#.####.##.###...#.###..###.#.###.##...##...#.##......#...##.#.#..###.##..##.##.##.###.##....##.#.##...###.#.#####...###..........##.##...#########.####.#..##.##.####.#.##..##.##.#.....##.##.#.####..###...###...##.#.#.###.#####.##......#..#.##..##...######.....##.##............###.#.#...#####.####.#########......#.##..#####...##.##.###..###...#..#..###.#.##.###..##.#.##.##.########.#.#.####.#.#.###.##.#######.....##...#...##.#.#....#####.###.#.........#..#####..............#.#########.#.#.#.........#########.###.###########.#.#......#......##.##.#.######.###.#.###.#######.####.########..######.#.###..##.......#
#..###.#.#.#.#.#..#.#.#.##########..##.#....########.........##.......#.#.#####.#########.#.##.#.#.#..###...##.#.#.#.#...##..#.#..#...#.#.....#.#..#....###.####.#########.##.#.#..#..#.#..##.###.....##.##..###.###.....###...#.####....#####...##.##..#..##.#..##.##.##.##..####.#..#.#..#.##...##.#.###.#.#...##...#.##...##.####.##.##.###.############...#.#..##...######...####.##..###..#...#.###..##.#...#.#.######..#.####...##...##.###..##..###.....#####..##..##.#.#.###...#.#...###.##..#..##.#..###.#...#.#.##########.###.#######..#...#..##.#.######.#.#.######..####.#####...###.#........####.#.#.#####...##..#..#.##.####...#.###.###...#.###....##..#.####.##........#.#.#####..#####.####.......##.#.##..#####.##.########.#.#...#.#.#.#.#.#...##.#.#.####.####.#.##..###.##.#.....###########.#.#.##...........#.##.#.####.##.##.#.####...#.#.....##..######.#.###...#...##.......#..####.##.#...##.##.#.#####
#.##.........#.##.#######.#.#.#....#######.##...##.#######.#.##.##.##.#.#.##.####..##.....#.#########.....#..#.#.#.###.#.###.###.##.#.###.###.#.#.###.#...#..##..###.#####.#######.#######.##..#####.#######..#...####.#...##.##.##...########.#.##..##.##.##.##..#.#..####..###.###.##.##.######.##...#####.#.#.###.####..#.#....##..#.##..##..####....#.##.#####..##.####..###..###..##...##.##.##...##....#.#.#.#......#.##..#####....#.##...#.##..#####.#####.###..##..#.###...#.#.#.##.##....##.########..##.##.##....#.##.......##.......##.#.###.#####....##..#.#......##..###.......#.......#.####.#.####.####.##.#..#########.....#.#.#...######.##...##.###..##....#....###.##.#.#.....##..........####.#.##..#.###.....####..#.##......#######.#.#.###.#...........####.#.#..##..........#.#....###.##.#......####.####.#.........#.###...#.#....##.#####.#.##..##.#.##.#.....#.##.##..#.#####.###.#..#######..####.....#
#.###.#####.##.######...........##.#.#.....#..#....#.##....#.#####..###.#....#.##.##..#.#.#..####.####.##.#.##.#.#.##..#.#....##.##.###...##..#.#.#...#.#.#.##..##...#.#....##.........##..#..##.....#.....##...###....#.#.#..#..##.#......#.#####..##..#...#..#.#####....#####.......#.##..##....####.....#.###...#..##..##.##.#.#..##..##..##....#.####.#..#.#.##.#.......###..##...####.###.##..##.####.#.###.#.#.##.#######.....##.#.###..###..##.#.....##.....#######.#...#.#.###.#.#...####.#.....##....###.####..##...##.#.#.#.####.#.###..#.........##.#..##.#####.#.####.#.###.#.##################.#.#........#.##...#..#..##.#.##.#.######.#.#####.###...##.##.####.###########.##.#.####.##.#.###########..####...#.#....##......##.#####..##.#.#####.###.#.##.##..#.#.#######.#.#.#.#.##.#.##..........##.#....#....###.#########...##.##.#.####.....##.#..##.......#.#.##############...#.#.#.#.#.###.##.##..##..#.#.#
###.###.##..##.#.##.#####.#.#.#.#....#####.#####.#......######.#...##...##.###.......####.####.#...#.####.####.###.#..#########...###########.#.#####.#.#.#.#..##..#.....##..###.##.######.##..##.##.##.##....#.##..#.####.#.###.##.###.#.##..#....######.#.##.######..#######..###.#.#.##.######..##..##########.##.####.####..#.##..#.####..##.#.#.#.##.##......####.#.##...#.####.##.#....#.#..###...##.#...#.###.##...######.##.##.#...##...#.###.#.#.#....#.###.#...#.##.##.#####.#.#.#....#.##.#.####.#...#....#####.#..#.#.###..###.#...##.#.#########..#.##......###....#....##.#.................#....##.#########..#...##.#####..###...##......#.##...#.####.##....#......##...######.#.####..#.........##..#####.#.#.##.#.#..###.##....#.#.##..#.....#..##.#..#####......#....#.#.###.#..###.##.##.#####..#####.##.#.##########.##..#.#..#..#....##.##..###.##..#.#.#.......##.#.##.#.######.................#.####.#.###
#..........#####..........#.#.#.##.###.#...###.####.#.#.#........#.###.##....##.#.##...##.#......#....##...##..#...##...#.####..#.##..#.##.#..#..##...#.###.##.#..###.#.##..##...##....##...####..##.######.#.#.###.#....###.#...#....#.#..##...##.########..#...##...##.##....##...#.#.##.#......####....#.##..#..#.#.......##.#.###.#.##.#.#####........##.#.######..#..##.####.......###.#####...##.##..###.###...##.###.##.#######.###.#..#.#...#.###.#.#.##.......#####...#.....#.#.###.#######.#..##..#.#.##.#...#.###.#########.#.#.#.#.#..#.........##.#..##.#######.#####.######.##.#.##.#########.##.##.....#.######.#.....#.#####...#....##.#...#########.###..#.####.##....####.###......##.#.#.#.#######..##...#.#.##.####..##.##.##......#####.####.###.##..#.##.##.#.#.######...#.##...#..#.##.....##.....########.............####.##.##.#.##...##.#...##.##.#.#.#######..#........###..#####.#.#.#.#.###...##.#...#
#######.#.##.....##.##.##.#.#########....###........#.####.#.#.#.#.#....##.#.#..#.#..###..########.##.#..#.###.##.#####.#......######........##.####.##..##.##.##..####.###.#..#.##.#.##..#.###..#####......#.###...#.#####..##.##.#.#########.##...##......###.####.##.....##..##.####.#..###.#.##....##......##.#####.##.####.#.#...#..#.#.....##.##########......##.##.#..#.#####.####.......##.##..##.####..###.###.#.#........#.#..##.##.#.#.###.#...#.#..#.#####....##########.#.#.#......##...#.###.####.####.#....######.##......#.#.#.##.#.#.###########..#.......#...##..######.#########.##..#.#..#..#.#.#.......##.#######.....##.##########.###.###.#.....##.#.#..#.###.####.....######.#..#.###.......#.##..#.###.##..##..######..###.##...##.....###....##...##..###.......##.#####..#.#.#####.##.##..##.####.#.##.###.######.#######..####..##.#######..#..#.#.#.......##...#.#.##.....######.#.#.###...#####..#####
#.###...#.######.#..#..#..#.##.#......#.##...#.######.#....#.###.#####.##########.##...##.##.......#....##...###...##...#.###.##.#.###.#.#.#..#####...##.#########..###.#...####.####.##.##.#.##..##...####.#...##.##.....##.##.##.#......##.#.###.####.#.#..##.##...##.#.#..##.##..########...#.#..##..##.##.#####.#.#.#.....#.#.#.#.##...#.###.##..........#.##.###...####....##......##.#.##.##.###..#.##...##...##......###.#.##.#.##...###.#...####.####.####.###.##..........###.#.#.#.#.##..#.#...#..##....#####.#....##.....##.#####.#.##.#.#..........##.##.#####.#.#..##...##......##......##.....##.####.#.###.#.##....####.#####..........####.#.......###..#.#...##...#......###......######...#.#.#.#.#..##.#...#####..#.##....##...#.#..######.#################...#.####.##......##.#.#.#.##...#####..####.#.#......#...######.#...##...###..#....##...##.##.#.#.#.###....###########.###...###.#.###.#..#####..####
#.#.###.#..##....#.##.###.###..#####.##.####.#.##########.##.##..#..##....##......#..#.####..##.##.##.#.#..#..####..#.#.###........#.#.#.#.#.###.#..#..###.#.###.#.##.#.#.#.#.......#..######....####.#####.##.###.##.#.###..#..##.##.###.##.#..##.##.###.##..###..#..###.#.##..###.#.##.....#.#.#.##..##..#..#.......####.####.###.#..##.##.#...##.##.####.##.######.#..##..##.##.##.###..#.####...##.##..#.#..#.#..##.#.##########.#####.##...#.#..#.#..##.........#####.###.#.#.###.#####.#.###.#.#.###.####.#.....#.##.#####.##.#......#.#.#..#.#.#.######.#...#...#######.#####.##.#.####..####.##.##.#####.####...#.#.##.#.##.......###.#.##.##...#....#.#.#.######.#######.###.#.#...#.#.##..#.##..#.#####.###.##..#.#####.#.##....#.####.#####.....#####.....#.#...#..#.###....#####.#.#.##.#.#...###.###.#..###.#.#.#.####.#.#........#.########...##.######.###.##.#.###...#######.#.##.#####.#.#######...#.####...##....#
#.......##..###.##.#..#.######........###....###...........#..##.##....#######.#.#####.#..#######..#..####.##...##.##########.#.####...###.#.....#.###.#.....#...###....#.#.###.#.#.#.##......#.##....#......#.##..##.#.#...###.##.#..######...###....##..##.##...##.##...#..##.#.....##.#.#.#.###..##..##.##...##.#.###.#....#.###.##..#.##.#.#.####....####.......####..##..#..#.#....####..##..#..#..##.####.###.##..####.....#.....##..####.#.#.##.##..##.###.#####..#...#.#.#...###.....#..##.#.#..##.#.#..##.#.##.##...#.#.#..#.#.####.####.#####......####.##.#......#####..#..#.#....#.#######...#.##.##....#######.##.#....##.##..##.#..#.##.###.########......#...#######.#.###.#########....#.#####.#...######.#.......#.##.#.####..#..###..#.###.#.#.###.....#...#######.#..#.####.#.##.###.#..##.....##.............######.##.#####.#.#.##.##.##......##...######..##.#...##.......#...............##.#####.#.#####.#.#
#.#.#.#.##.##...#..##.#..##....#.#.#.#####.######.#.##.##.##.###.##.##...##.####.#.#####.##.#.###.###..##..##.###..#.#.#......#....###.##..##.##.#...#######...#..#..#.##.#####.#.#.#.###.#####..##.#.###.#.##..##..#.#.#####....#.##...##...#...##.###########.#.##.#..#.#.##..#.##.###.#.#.#..##.##..##..#..#.##.###.....##.#...#####.######.#...###.#...######.#...##.##..#####.#.##...##.####.#.##.##..###...##..##......#####.#########.##.#.#....###..#..##.......###.##.#.#########.#.#.###.#.#.###...##..###..#.##.#.#...##.#.#.##.#####....##..##############.###.##.#...###.####.###.#.......######.##.############..#.#.###.#####..#.##.##..........#####.####.#...##.#..#...#......##.####.#.......##.##.#.##.#.#.###.#.####...#..##.##...##.....#....##.#.#.#####.##.#####.....##.##########.###.######.#.#.#.##.##.....##.##....##.#.#.##.#######.##.##.#####....##..#.###..####.##.############.#######.#.#.#####.#.#
###.###.##..#.####.#####....####.#####.....##.....#..###...####...####.#....#.####............#.#.#.#.##..##....##.#...##.#.#.###########.##...#.##.##..###..#.##...####..##....###.#...####....#######...###..##..####.##....#.##.##.#.##.###.#######..##.#....#.#####.###..##.#.#....#.#.#.#.###..#.####.#.##.##..######..####.##........##..#.###...###.....#####.###..##.....#.#..#.#.#..#.##.#.##..##...##.####..##.###.......#.#.##.##.####.##.###.#.###..##.####...#..#.#........####.#.##..#.###.#.#####...####.##.###.#.##.###.....##.##.#.#..##.##.#.#....##...#......#..##..##........#######.##.#.#.........#.##..##.#.#.......##.#..#.#..#.####.###...#....#.#.#......##.###.#.##.....#.###.#.##.##.......##.###...#.#..##..#...#####..#..###.#...#########...##......##.########..##.##.##....#...##.#########...#.#.#..#.##.####.......#...#.#.######......##.#..##.#.....#######..........######..#.#........##..#.#
#....##.#..##.######.#.###.####..##.####.#.#..##.##.#####.###.##.##....#.##.#..#...#.#.#.####.....#...###..##.########....###.#####..###..##.#.###...##.....#######..##..####.#...#.###.##...##..##.....#..##.##..##.##.##.##.#.##.#..#.##.##....#.#.##......#.##.#.#.###...##..###.#.########...#.##..##..#.##.#..##......###.########.####..##...###...#.#.###.##....#.###.##.##.##.###.##...##.#.##.##..###..##...###.##..###.#.........#.#.####..##.....##.##.....##.##.####.#.######..###.###.#.....#...##..#..##...#.##..#.#..#...#####...######...........#.####.##.#########..##..#.#.#.##..............#.#.#.#....###########.#.############.#....#.....####.#######.#.#.##..###.#..#.###.....#.#..#.#..#.#.#..#.##..#.#.#.##..##.#.....#####...###.#.........#.#....##.#........##.##........#.##.#.#............#.#.###.#.##.##......#.#.#...#........#######.#####.#####.###......#..#.#.#.##........##.#.####.#########
#.##..####..###.##......##.#....###......#######.####..#..#.......##.###.#####...#.#.#########.##.#.#.#...###.######...#.##.......#.##...##..#...##.##..#.#.#....#..####..#.###.#.#..##..###.##.#######.##.##.##.###....#..#..###..##.#.#...#.#.##.#.#######.####.#.......#..##..####..#####...###.##.##..##..#.#.##..##.#..#.....##.....###########...#.#.#......#.#.##...#.####..##...#.##.#.##.###...##...##.##.#...#..##...###.#.#.###........#######.#..#####.##########.##.#..#...#.###...####.#.#.##.##..##.##..#.###..##.#.####.......#.....###.#.########..##..##.....#.########.#.#.#..#.################.#.######.##.#.#.#..#..........##..##.####.##.##.###.##.######..##...#.##.#...##.###############################..##.##.#.#.#..##...#.#...#.#.#.###.#.##.###..########.....#####.#.####..###.#.#.##.#.#.###########..##.#.#.##.####.###.#######.#.###.#.######......#.#.####.############.##.##......#####.###.##
###..###...###..#####.#....##.###.#.##.####.##......##...####.##.##...####.##..#####.##.........###.#.#.###.....##...#.#####.#.##...##.#..##.#.######..##.####.#...##.##.##.....#.##.#####...#..#.########.##..#.##..#.###.##...####..#.##.##.#.##.#.#.##.....##..##.#.#.##.##..##....##.#.##.####.##..##.##.####..##..####...#.###..##.##.#.##......#.#.###.#.#.##.#..##.##....#.##..#.#..#.#.##...##.####.###.#..##.##.###.#########..##.##.#.#.###..##.#.###.#.......#.##...#.##...#.....##.##....###..#.###.##.###.#...##..###.#....#.#####.#.###...#.......######.##..#.#......###.#.#.####..........#.#....##.#...........#.#.######.#.#.##..####...#.###...#...........###.#####################...##.#.##.#.#...###.##.#..#.##...###.###.##..#.#####.#.#.#...#####....##.....##.#############..####...#.###.#########.#...#..####..###..#...##.#.#.#####.#...#.###.#.##.##.##.####..#....##.#.#.#########..######.#.#......#
####...#.###.##.#.....####.#..#......###.......#.#########.#..##.##.#...##....##.....########.####..#.#..###.##..##.####.....#####.##..#####.###.##...##..##.#####.#...#.####.#.######.....#.#.##.#...##....#.##..##.#.##..##.#####..##..####.#.##........#.#.###..###.#..#####.#..#.##........#.#.###.##..#....##.##.####..#.####..###.......##.###.#.#.###.########.##...##.###..##.#.#.##.#..##.##..####...#.##..####.##.........##.###.######.....###.#.....###.#.#......###.##.###.######..####...#.##..##..#...###.#.###...#####.##.....#.###.##.##.#.#.#....##..###.####.###.....#.#.###..#.#.###.##...#######.#.###.#.###....##.##.#.#..##..#####.....#.#...#.#.#.#.#...####......#.#.###.##..#.###..#.##.#.#.#.#...#....####..#.##...######.####.#..#.#####..#..##.#.##.#.#...............###...###.##..##...#.#.##....###.##.###..##.#######...#.....#...#....#.......####....###...##.##.#.......#.###.##..........##.###
#.#..#.####.......#.#.#....##.####.###########.#.##...###....##..##.#.#####.#######.##........###..####.##.#..##.#..#.####.#.##.##..##.##....###..###.#####...#.#....###..#####.##..#..#.#######....#....##.#.#..##..#..##.##..##...###.##..#######.#####.#####...##...#.##.....#######.#.#.##...#..##..##.#.##.##..####...##....##.#...##.##..#.#...###...#...##.###..##.##...##.##..#.######.##...##..##..#######....#.###.##.###..###.#......#.##.##...##.####...#.###.#.#######..##......##.#....#.#..#.##..##.#...#####...#.#.....##.##.##.....####..########..##..##...########.#.#.#.#...##.#...###..#..#....###...######..#.##...#.#.########.#.#.#.#.#.#.#####.#.#.#.####.###.####.#......##.#.#.#.##........#.##.##.####..#.##.##.#.....####......##.###...##.#############.#.##.#.#.#.#...###...#.###..#.#........##..#......##.##......##..#####.#...###.##...###.#....#.##.#...###.......##.####........##.####.###...#
#...#####.#####.#.#.#.##.#.#..##....##..###.##.#..###.....##.##.##..#..##...##......####.#.#.##.##.##...##...##..#.##..###.#.....#.###.##.##.....######.....#.....#.###..##......##...##.#.......#.##.##.##########.##.#######..##.##....##.##.#....#.......##..#..###.#..###.#.##......#.#..##.###.###.####.#####.##....#.#######..###.##..##.#.#.#..##.#.#.#......#.##...##.##..##.######..#####.####.###.......###.####....#...##.....##.###.#..#..##.#########.##...#.#.......#.##..#.##.##.###.#######..##..###.#.....###.#.####.###.######.##....##.##.#...#.##..##..#...#....#########.########..##.###...######.#......#.####..#####............#######.#.....#.#######.#........##...####......#.#.##.##.#.#.####.........##.##.##.#.#.#....###.##.##...###...............###########.#.#.#..##.#.#...#.##.##.#.##.####...#.#.##...##.#.#..##.##..###.#...####.#####.#.#.##..#.###...#.#.#.####..###.####.#.##....#...#.#.#
##.###.......####.#.#.##.###.##########........##.#...#####...#.###.##.##.####.##.#.#..###.###.....#..#.##.#..####.###.....###.#.#.##...#.###.####..#######.##.#.##...##..##.#.###..#.#..####.#.##.####.......###....#.#.......##..##.#.##.....##.####.#.#.####.#####..#.####.#.##.##.#.#.#.##..##....#...##.....####.#.##.......#.###..##.###.#.####..#.#####.#.#.##..##.##..##.##.........###.#.....#.#...#.#####....##..#.#########.#.##..#######.##....###..##..##.##.##.##.#######.#..#..###...#.#..##.####...###.######..####.#.##....#.##.##.####.......#######..##.#.###.######...........#.###..#.#.###....#.###.#.##....####.##.##.#.#.###.#.###.#.##.#.########.#.#....###########.#.#########.#.##.#########.#.################.#.####.#.##..#...#.#...##.##.#.####.##...#...###...#.#.##..###.#.#.#..######.####.###.####.####..#.#.#.###....###########.#.....###############.#.#.#.#....##.......####..##.#.#########
#..#.##.#.##.#.################.#.#...#####.##..###.#.##....#.###...##.##..##...#####.##...#...###.##.#..###.##.....######.#...#######.####........##....##########.#####.####...##########.########.###.######...#.##.##.##.#..#.##..#.#..###......##.#.#...#######..##.#....#.##.#..###.###..####.####.###.#.#.##...#.##.#.##.####...##....#.####.#.##....##.#.#..#.###.#..##..###.##.######..##.##.####.##.....#.##.##.##.........#.#..##...#...#####.#.....####.##..#.##.#####...####.##.###..#.....#######..#..##....##..##.......#.##....#.##....#.#.#.#.....#.##..#.#..........#####.#.#.#....###......##.####...#####..##.......#.############........###.####.#.#.#.##.####...#.##.#.....#...#.#........#.#.#.#.#...........##.....#..##..#####.##.##.##.##..####....#.##.#...#...###.#.#..####...#.#.######.#.........#...##....#.##.#.#.##..#.###.##.#.....#.###.##.###.###.##.###.#####.#####.#.#####.##.##..####.#....#
#.##..######...#..##.##....#......###.#####..##.#######..#.##..##.#.##.##.####.##........#.###.#...#..######.###.#.##......#.#..##......##..#.##.#######...##.#.#......##.#....###.#.#..#.#.##.#..............##.##..####.#..##.#..#######..##.#.##..###.##.##.......######.###..####.###...#.###.....##.##..###..###.#.#..###...##..#..###.#####.....#####..#.#.#.####.#.##.###...####.####...##...#..#.#.#..##.#####.#...##.#.#.#.########.###.####..#.#.##.###.#.#..#####..##...#..########...###.####...##..##.######.#..##..#.#.#.#.##.#.##.##.##.###.#.#.#.#...##.#####.#.#.#####.#.#####.##.#...#.##.#..###.##.####.######.#.#.#....##.#.....#####.##.####............##....##.##.#....#.#...#.....########.#...#.#.################.##..######...##.#...#####....#.##########.##.#..#######....##.####......#.###.#########..##.#####..###..#.##.#.#.##...#####..##.....#...........#..##.......###........########.....##.#
###..###.#.##.##.##..#####.######.#.......##.####.####..##.#..#####..#..#.#.#...####.#.#.####..##.#####........######.#.#.##.#.#####.##.##.##..#.##..#.###......###.####..##.#.#.....##..........#.#.#.##.#.###...##.##...#####.#.##.....##..###.#####...#...#.#.#.#......###...###...#.##.##...###.###...##...##.##..#.##...######.###.##..#.#.##.##.....####.#.#......###...##.#.#.........#.####.#.##...#.###.....#####.##.#.###...#.###...........####..#...#.####..##.#####.####...##...###.##..####.#######..#.##.####..##.###.###.##.#.##.##.#####..#####.######..##.#.#.#.............#..####.##.##.##.........#.#..#...#####.#.##......#####.#.######..##.##.##.###....####.......####.#.###.#.#...#........#.........#.....#.#.##..##.#.##.###..#.#.#....###.#.#.....#.##.#.#####.......######.....##.#.#....##.........##..#.....##..#####.##........#..#.######.#.#...#####.#.####..##.##.#..####.#.##..#.###.#.########
####..#...........##...#....##.#....##.##..###.##.#.#..######.#.....##.##...##.##....#.#.#..#######.#######.####......#####..#.#.#...#..#..###.#.###....##.##.#.......######.#######....#.#.#.##.#.###.##.#...#.#.##..##.##...#.#.######.##.###.....##.#.##.##.#.###.###.#########..#...##..##.####...###..##.#######.###..#..##.....##..##.....##.##.#.#....#.###.##.#.##..#..#.#.##.#.##.###....#####..#.#...##.######....#.#...#.#.....###.##.######.#..##.#....##..###.##.#.....#.#....###.#.###............##........###..####...#####.#..#.##.....##.....#......##.#..#.###.##.#.#.#.##.##...##.##.#...##.#.#.#.##...##.####.####..#.#.##............####..#..#..#...##.#......#.###....###..##.#.#.###.##.##.##.#.#####...#####...###.##....#...#.####.#.##...###.#.##.##.#..#....######.#################.#.#.##..###.#################.....#.#..#.#.#.###........#.#.#.###.#####..#.#.##...#.##....#.#####.........##.##.##
#..##.###.##.###.#####...##.##...##.##.#..###.........##.####.#.#.#..#.##.########.#.#.#.##......#............#######.##....##...###.##.##...#.#.#.####.##.#####.##.###......##.##...#.##.###..###..#####.##.####..##.#..##.#...###.#.......#...#.###..#.#..##.####....#.#.....##..##.###..##..##...#..#####..##.#....####.#.##..#.#.#..##..######.##.#.###.##.##...#.#.##.###.#.###..#..#...##.#.....####.#.###...##..#.#.##.#.#.#.#####...#.##.....##...#####.#.####..........##.##.##.####......##.#########.###.##.####.#.##....#.....#.#.####..#.#..#.#.###.#.##.#....##..#######.#.#..#..##.##..####.#.######.#.##.###...##.....#.##.#####.#####.#.###.##.##.###.#.###..##.#.###...###########..#.#.###.#######..#...#####....##.#...#.##.##...#.#...##.#..###.#...#.#..##...##.####...#####...........#.######.#####...#.#.#.###....#.########.##.#.###.#.#####.#.##.#.#........##.##.######.#..#.####.....##.######.....#..#
#.##...#######....##...#.#...###..###..##.#.##.####.#..#.#.#..#.#.#.#####...##.....#####.###.###...##.##.#.#.##.......####.##..#.#...#...#.#.###.#............#####..##.#.##.#.....#.###...##.##...##......#....#.######.######..##...#.###.#.#.#..###.#.#.##..##.#.##########....##....##..##.#..#.#.##.####.##...##....#.#.###.#.#.##..##......#.##.############.##.#.##...#.#.###.##.##.#.##.#########..#...#.#....##.#.#..###.#...####.##.###.##..#.#..#.#######...#.#.#.#.######..#....##.#.#.#......###.###....#......#.##.##.#.#######...#######.####...#.#..#.##.#.###......##.#.#.##.#######..###.#...#..#####...##.###..###.#.##...##.....##.###.......#.#.###..###.##.#...###......#.#######.#......###..#####.##...######..#.#.####..#.###.#.###..##...####.##.##....#..#..#.#.###.#.#.#.#####.#.......##.....###.........##.###...######..#.#.##..#.###.############.####.##.......###.########..##.##.....#.#######.##
#..#.###.#######.###########.#.#.#######.......##...#.##.....####.#...##..#..##.##.##.#...##########...#.#.#.##.###.#.#.....##.#.###.##.##.#.##..###.##.#.#.###.#...##..###..#######.#...#.##.#..#.##.#.#.###.#.#..##..###.#.##.#####.#.#...#.#.####...#.#..####......#.#.#....##.###.#..#.######.###.##...##.##.#.##.##.###.#.#.#.#.##.####.#.#####.........###.#..#.####.###.#.#...##..#.####.........##.##.#####.########.##...#.#....#..#..##..##.####.........##.##.#.#.#......######.###.###.#.##.#.......###.##.##.#.###..#..#.....#######.....#...##.#.#.##.#..###...##.##.##..######......##.##...#.###.##..#..####.#...##.#####..####.###.##...#.#.#.#.#.....####.###..#.########.#.........####.##.##...##.##.....#####....#######.####.#...#..##.##..#...##..#..###.##.###......#......####..#.#.##.##..##.#.###..#.#######..#.#.###....####.#.###........#.#.##.#.#..######..#.#.###..........########.#.#............#
##.#.#.#..##.#...#.##.#.#........#.......#.###..###.######.#..##..##.################...#.#..........#######.#..#...#.#####.##.#.#...#...#.#..####...##.#.#.##....#..##.######.......#.#.#########.#..#.###.#.########..#....#....##..#.###.#.#..##..#.#.#.#####.#.#.##.....##.##.#...##.#..#.#.#.##.....#..#.##.#.#..##...#...#.#####...##..#.##.##.#####.###.#.####.###....######.##..##....#.#.#.##.##...#...#.#......##...###.###.####.##.##..##..##...###.#########.#.#.#.####......####....###..#.####.####....#..###########.#.#.###.###.#.######.###.#.#..#.#.###..####.#..###....##..#.##########.#......##.##........#.....#..##....#..#########.########.##..##...##.##........####.#########.####....#.....##.#####..#.####.#.##...#######.#.##..##.######..#####....#..##.##.#...#.##..#...#######..##..#.#.##..##...#.....##.#.##..##...####...#.#.##.#...#.#..#.##.....#####.#...###.##.#.#........###.###.####.#.#.#
#......##.#....#........####.#.#.##.#.##.#.###.##...#......#.####..#......##.#........#.######.###.#..##..#..#.##.#.###......#.#.##.###.##.#.##.####.#..###.#####.##..###.#.#..#.#.#.###..##.##....##.#.###...##.#.#.##.####...#.####.###...###.######.#.####....#.#..#.##.##...###.#..###.##.....###.#.###.#.##.#.##.##.###.###.#.....#..##.#....##...##...........#...##.####.##...##.##.######.#..#..##.##.#.#...########.###....#....#..#.##.###.##..#..##.......##..#.###....#.#.##....##.#.##..##...##....###.###.......##....#.#...........##.#.###.#####.##.#...#.####..#.##.##.#.##.##..##..##....#.##.#.......##.#.#####.#...##..#.###...#.###.#.......########..####..#.###.#####.#............##..##.#.#.#.##...#.##......#......#...##.##.#..##.##......##.#.#.###.###..#.##.#.#######...#...#...######.#.#.##.###.###.#.#.........#######.##.#.#.######.#.....##..###.#.....#####..##..#.###.#.##########......#.#.###
####.#..#.###.####.##.#.####.###.##.########....########.#.#..#.##.#.##.####.#.###.#.#####.##..##..#.####...##.########.#.#.##.#.##.#....#####.......#.##.....##...##.##..#.########.##..##.....##.##.#...#.#.##.#....#......###..#.#######.##.....##..#.#....#.##.#.####..###.####.#.##....##.#.##...#...#.#..#.#.#..#..##....###.#.#.#.######.####.#..#########.#.#.###..##.#....#.##..#....##..#.#####..##.#.###........###...#.##.#.##.##.##.#.####.###..#.#########.#..##.#.####..##.#.#..#.###.##.#.##.#####...##.#.##.####.#.#.#.#.##.#.##.......##.##.#######.#####..##.#.....#.#.##..#.###.#####.##.##.#.##.#.##..#....##.#.#..##.#..##.#.........#######.#.##...####..##.###..##...#.#.#.#.###.####.###########.#...##.##.#...####.#.#.....#.#.##..##.##.###.......##...#.##..######..##..#.#.###.#####.###########....##.###.####.#.###.##....#####...#.#..###.#....####.##.#####.###.###.#..####..........##.##.####...#
###..##....#..##...#..#........###..#........#####.......#.##.#....#..#####..##########.......####.#...###.#####.##.....###..###..####.###..#..#.###.#..##.#.##..###..###....##.#....#..####.##.##..#.#.########.####.#####.#######.........###.######.#.##.#.#.#..#....####......#.#..#.#.#####..##.##.###.##.#.###.###..###.##...#.###..##.......####.....#######.#...##....#.#.##.#..##.##..##.#....##.##..###...#.#.#.#####.#######.#...#.#.......#..##.##....##.#.###.#######.###########.#..##.##.#..#.....###..#.#.##..##..#.###.#..#####..#.#.#............##....#..##..#.#######..#.##.....##.##..#..###..#.#..##.#.#.###.#.#.###.#.##..##.##.#.#.#.....#...##.###..#####.#.##....###.#########...##.......#.#.#.#.#.....#.#.#....#.#.#.##.##.#..##########.#.#.#.#.#..##########.....######.#............##.####.###.#..#.###...######....#.######...#...##..#########..###....#.....#..#####...##.#.#.##.####..#....###.#
#...####.#...###########.##.##..##.##.##.##.###..#####.#.#.##.##.#.#.##...##.###........#.#.#.#....#.###....##......#.#..###...##.##.....##...##.#...#.##..#.#..###..##...##......#####....#.#..#..####.....##...#...............###.#.#.#.##......##..####.#.#.#.##.#.##.###.#####.##.#.#..#.#..##..##...#..#.#.#.....##..######.####...##..#.#.#######.##......####.#.##.####.#.##.#.##...##.##.#.#.###..##..##.#.#######.........##..##.##.#.##.####.##...##.###.....##...................#.##..####.###########..##.#.#..####.#.###.##.##.#####.#.#.#.##.#.#####..##...####.#.....##..##.##.#.#....##.###..##.##.#.###.#####.###.###.#.#..##..#.##.#.#.#.#####.###....#.####.#....##.#...#.####.#..#.#####.##.#.....#.#.#.##.####.######.##############.##.......#.#.#.#.##....#.......##.###.###.########.#.#.#...#.#...#.##.....#.#...#.#..##........##.###.####...#.#..###...##.###.######.#.#.###..###.####..#.#.##.########
##.###...##.##.......#.#.##.##.###.#..##.####.##..#....###.##.#..#.#..###........#.#.#.####.###.##.#...##.#.#######.###.##...#.##.#..#.###..#.##.###.#.###.#.##...#######.#..#.##..##...#.##.##.#.###...#.#.#..#...#.#.#.##.#.#.##...#.#.#.##.##.#######....#.###.##.#.#.........##..#.####...##.#..##..#.#.##.#####.#####..###....##..#..#.##.#.....##..##.#.##...##.####....#.#.#..#..#.#.#########...#.##..#####.......#####.##.####.##..#.#.#.....#.##.#.##.....###.####.#######.##.##.###.###.##.............##..###.#.##....#.#...##.....#..#.#.#.#..###.....##..#.#..#.#####.#####..#.##.#####.###...##.#...#.#...#.........#..##.######..##..#.#.#.....###...##.###..#.#.######..#.#.#...#....##.##.#########.#####.#.##....#....#####..#..#.##.###.#..#.#.#####.###.#..##...##.##.#..#.#.#.#####....#######.###...###..#.#.#.#####.....####.##.##..#...####...###...##...###...##......###.....##..##....##...########..###
#..#.##.##...#.#.###...#.##.##...####..###.##.###...#.###...####.###.##.##.##.##.#####.#....##..##.##.##..#.#.......##..##.#.#..######...##.###..#...###.#.#..##.##.##.####.##.#..##..#.###...###.##..#.#.#.#####.##.###.#..#.#.##.#.#.#.#.#..##..##...####.#####.##.######.##.###..######..#.##.#.####.#.#.##.##.##....###...####..##.####.##.#.##.##..##..#..###.##....##.###.####.##.#.#.....##.###.#####.##..###.#.##....#####.##...##.##.#.#.#######..#####.#.###....##......#####.##.##....#.####.#.##.#.######...#.#..###.#####.###.##.##.####.#.#.##########..#####....#.#####.#####.##.....#.##..#.##.#.#.###.#########.####.........##.##.##.#.##.####...#......#.##.#......#.##.#######.####.......#.##.#####.##.#.#..#.###.#.....##...##.#........##.#....##...#.##.##.###..#######.......#...####..#.#...#..######.#.#.#....##.######....#..##.#.#.###..#.....#....#..######..#.#####..############.###.#.###..#.##.#.#
##.#....###.##########...##.#######.#####.........#.#.#...#..##..###.##.....####.#.....##.#.###..#.#...##.#.##.#.#.####.#..#.##.##.....#..#.#...##.#.##..###.##..##....#.####..##..####.#######....#.##.#.#####...##...####.#.#..###.#####.##..##..##.##....#.....##.##.....##...##..##....####..#...########..#.....##.#...#..##..##....##..#.#.##..##..##.##..##########....#.##...##.#.#.###.....##..###..###.....#..######...#####.##..##.#.#..#######.##..#.###.##.#.##.#.##...##...####.##.#..##..#..#.#......#######.##...#.......#..#......##.#.#.......#.###....###.###...........#..##.####.###.#..#.#.#..##..#.########..#.######.##...###..#.##..#.#.######.#........########...##.....#.###.#.#.##...........#.#.##.#..######.####.#......#####.##################.#....##...##.#..#.##.##.#..####.#.##.##.##.#.####.#.#.#.###...##.##########.#.#...##.##.#.########..#.##..##.##..#.##.###.#.#.####.#####.#.##.#....#
######.##.###.#.....##.#..#...##.#...##.###.#####.#.####.###.##.##....##.#.###.######.##..###...##.##.##########.#.##.####.#..###..#.###.#####.###.#.###.....##.##..##.....###.###....###.###...#.##.##.#..##.###.##.#.##...###.##.......#####.##.##.....#.#####.##...####.##..#..##..###.##.###.##.##.#.#.###.#.##.##..###.#.######..#.###.##.#..##.###.##.##.##.##.....####.#.##.#.####.#.#############.##..##.#.#.##........####..#..##.#######....#.######........#####..#..############..##.##..##.#.##.##.#.#....#.######.###.##.#.#.##.###.##..#.###.#.#.#.#.#.####.....#.#####.#.#.#.##.....#..####.####.#.####............##...####.##.#...##.#..##......#...#.#.###.#.##.#.#.###.####.####...#####....##################.##.#.#####...#.##.#.....#...##..........##...##.####.#......#####....####.#....#............##.#.###.##..#.....#.#####.######.##...#####......##......#####..##........#.#.#.#..##.#..#.##...#.##
#.#....#..###.#####....##.#.###....#........##....#.#....##...######.###.###...##.#.#..##...##.##..##...###......#.##......##...########...#####...#..##.##.##..#..#####.#.......##.####......#.#..#.##.#.##.......#.####.#.##...###.#.#.#..#...#.#..##.##.#.#...#..###.....#.###.#..###.......#.##......#.#.#.#..#.##.######......####.##..##.#.##...########.......#.#....#.#.####.#.#..#......##.#.#.#.###..#.#.#.#..#.##.#...#..##.##.....###..#.##.#.##.###.#######.###.##.......##.#.#######..##..#..#..#.#.##.#........###.####.#.#..#..######.#...###.#...#.####.##.##......######.#..####.###....#....###..##..#.##.#.##.###.#....########..###.##..#.####.###.#...#.#..........#...........#.....#.##............#.##.####......#...###..#.#########....###.#.#.##..#.##....#.#.#.####.#.#########.#.##...#####.##.########...##.##.#.#.....#.#.##.##...#.#.##..#.#.##..#.##.#..#.###....#.######.#.#.#.##..##.#....######
#.#######...........##.##.###...#######.#.#..##.#.#.##.#..##.###.......#.##..#........############.##.#.#...####.#..##.##.###.######.....#..#.###.##.##...#..##.#.##.....###.#.#.#...#.#.####.###.##.##.#..##.#.#.##.##.#.###..###...######...######.##.##.#...#.##..###.##.###.#.##.#...##.##.#.###.#.#.....###.##..####.#...#.#.##....######.#.##.#...##.##..##.#.##.#.#.####.#......##.###.####..........#.##.#.#.##.###..#.#...###..#.#####...##.#........##...........#####.#.##............##.##.##.##.##.#.##.#.#.###.####......#.##.#.##.##...###########....#....######.##..##.#####.##.....##.###.#.###..####.#..###..#...#.#.##..#.##.#######..##.#........####.######.###.#.##.#.##.#.#.###.##.#..#.#.#.#.######.#.......#.##...#...#.##.........############..##.#.##.#.##.#.#..##....####.........##.############.##########.##.#.#.#####.......##.####....##.####.##..###.##.....#.#####..............###.#.#####.#.#
#.........##.#.##.#.#..##..######...#...#.##.####.####.#.###...####.#.##.######.#.#.#.#####.#.#....##.#####.##...#######....#.#......###.##.#.....######.##.###.#.##.#.#.#######.#.#...####...##...#######.#..#.###..#......##.##..#.....####...##...#..#..###.###..##....#.##....##.###.##..#.###...#.#.#.#..##..##.#..#.##.##.#.###.#...##...#.#..#.#.....##..###..###.#....####.##.##..##.......###.##.#.####.#.####...##.####.##.#.##...##..#.##...#########.#.#.##.#.####.#.#..####.##.##.###...#.##.##.##.#.##.#.#...###..###.##.#..#.#....##.#.......##.###.#...#####.##...##......#.#####.##..#..####...##...##.##...####.#####..##...#....##....######.##.#.###.###.##.....###.##.####.###..########.###.#.#.....##...##########.###.###########.#.###.........##.####.#..#..#.#.##....####....#.#.#.#.##................#.#.##.####.#.#.......########..##..##.##.##.####.##......#.#.###.#...###########.##.............#
##.#.###.##..#########.##.##.####.#...#.#.##.#.......#####...####...#..###.#....#.#.#..##...#...##.##.##.....##.###.#....#.####.#.##.##...#.###.#.#.##....#.#...#.##.#####.#.....#.##.###...#.##.#..#....####.#.####.##.#.#######.###.#.##....######.####.##...#...####.########.##..#....#.##..##.###.#.#.#.##..######.......#####...#.#..##.##.#.####.#.#####...##..####.####....#...##.###.###############....#.#....####..##..#..#.##.#######.##.#.###.....###.#.##.###..#...##..###.#####..##.###.##..#.##.####.###.#...##.#.####.##.####.#..#.#.#.###......#.#.#...#....#.#..##.#.###....##..##.##...###.##..###...#.######....######.#...##..##.#......#..#.#.........##.##.###..##....#..###..##...####...#.##.##....#.####.#.#.###...........###.#.....#.##########.##.#.##.##.#..#.#.###...#.########..#.#.#.####.##.#.##.#.....#.###.#.###.#....####..####..#..........######.##.###...#...#...........#######.#####.####
################.#.##..##.#.......##.##.#..####.#.##.##.###.####..#.#.###....##.#.####..###...#.##.##..####.##..#.....##.#.##...#.#..##.#####.###.#....#.##.#####..####......#.#.#.#....##.##.##.##...##..#.#####.#####.#....##....##.#..##.#...##...#.....###.#.#..##....###.....##.#.#.##.#..###..##.#.#.####.###.....#.##.###.####.###.###..#.####...#...##..#####.#.##...####.##.#.#...##..........#.#.####.#######....#.####...##.##.##......##.#...##.######.###....##.###.##.##.....#.#.#######.##.##.##.###..##..#.###.........##...##.#.#########..#.##.###.##.##.##.#.#.##..#.....#.###.##..##.#...#####..###.##.##...###.##.###..##.####..###.#.##.######.##.#.#.##..####.##.##.#.###..###....###..#.#.#.#######.##....#.#.#...####.#.##.#...#.#.#.###..#....#.....#.####.#####.#####.#.#######.#..#.####.#....###..#......#####.###########.##....####.###.####.#.#.####.###..#..##.#...######.##########..#......#....#
#.#.##.....#...#.#..#############.##..#######...#..#.#..#......##.#.#.#.##.#..#.####.#.###..#.#.##.##.###...######.##.##.#.##.#.#.##..####.#......##.#.#..#.###...###...###.#########.#.##.#..##.##.#.##.##..#.##.#.##..#.#####.#.##..##.##.##.##..#.###.#..####.##..##.#...##.#.#######.##.#.##...###.#.#....###.####.##.##......##....#.##..##.##.###.##.####.##.##....#.#..##...#####.#.#..##########.....##..##.#.#.######..##.##########.##.##..#.#.........######.###..#.#..####.#.#...#...##..####..#.##...##########...#.#.#.#..#.####.#...#.#.#.##.########.##.....###.#.#..######.###.#######..#.#####.##...#.##....########...##.#.....#.######..#......###..#.#####...#...######...##...######...########.##.######.#.......#....#.#..#####.#.########...##...#.###..##....#.#..............#....####.#######..##.###.###..........#.##..####..##...##........#####........#.###..###.#....##....####.#.##.#.####.#.####
#......###.###...##.#.##.#.######.##.##.......#.#.##.##...#.#.###.#.#.#.#..#.##.#........##.#.#.########..#..##....##.##.#..###.#.##.###.....###.##..#.#.####...#...###.#.....##..#.###.##.##.#...#.#.##..##...##.#.#..##.###.###..##.##..###...######...##..##...##.##.#.#.####.##...#...#.#..###.##..###.#.####...#..#..##.##########.#.#..##......##.##.##......##.#.##.#.###.#..##...#.##...#.#####..##.######.........###.##..........####..#####.##.#.##.#.....##.#.##.#.#.###.#.#.##.####..#.###.######..#......##..###.#.###.##.#..##..#.#........#.....##.#.####.##########.....##..##.###.####.#...#...##.###.###.#......##..#..####.######....#.##.##.#...#.#####.##.#...#.....###.###.####.....###.#.#..#.##.#.#.####.#.#.#.#.#.#####..#.#######.....##.####.#########..#.##...#.#.##.#.###...##.##......########...#...##.###.#.#......##..##..##.#####.##.#.##.##.####.#.#.#.#.##...#.##..##.#................########
###.##.#.....###.##...##.#.#......##.########.#.#..#.####.#.###...###.#...##.#..##.###.######.#.#...##...###.###.#..######.####.#.##.#...#.###...###.#.#....##.##.###...##.#.####.......##..#####.#######.####........##........#.##..##.##...###.#....#.##.####.##..##.#.#...##.####...###.##...#.#..###..#....###...###.##........##..####..##.#.#.#...#..###.##############...##..##.##..###.........###########.#.#.####.#.######.##.#..####....##.####..#.#.##.##.....#...#.....#.#.##....##.........#.###.#.####....##.#.#.##...#.##.##.####.#.#.##.##.#.##..#....#......#.##..#.#.###...........#.#.#...#..#.#....######.##..#.#####.....#...###.########.#.#.#...#.#.##.##.###.##..####.####.#.#####.#.....##.#......#.######.#####.....##.....#.#.#.#########.###.#...##..##.##.#.#.#..#.#...##.###..##.###........##.##.#.##...#####.#.##....###.#####..####..#....##.#.##.#.#...###..#.#..#.###.###.#.#.##.##.##....##..#
##########.#........#..#.#.###.#.##....##.....#.#.##.#.#..#.#...#.######.##..#.#######..##....#.#.#..##.##.#.#.#.##.##.#......######.#.#########.#...###.##.####....###.#..#..#.###.#.#.##.##.........##..#....###.#.####.#.##.##.###.##.#..#.#.....##.#.##.#....###.#..###.######.#..#...#####.####.##...##.######.#..##.##.##.#.#..##..#.#.###.#.####.###.##.......#.#########..##.##..##.#...#.##.####.##.##.....#.#......#.#.############....####....##.####.#..###.##...####.#.##.#..##.#..##.#.######...#.#...###.#....###.###.#####.##...##.#.#.##.##.#....###.#.####.#....#.##.#...##.##.#######.###.#.#.#####.#....#######.......###.#...###....###...#####.###......###...####..##..#.##........#..#.#####....#.####.....##.....###.######.#.........#.............#.##.##..#..########.##.#####.##.....###.################.#.##.##########...#.....##....##.#.#.##.....###.############.##...###...#####..##..#.#####.##
#.....#..#######.#.###.........#..##.########.#.#.####...#####.####.......#.####.......##..##.#.####.......###...#.....###.#####.....###..##.##..#.###...##.#.#..#.##...##.#.##.##..#.#.##..###.#.#.#.##.#####..##.#.#.#..#..#.##..##.#..##.####.#.#####..####.#..##.##.##...####....##.#.##..#.#.##.##.###.......###.######.##.#.####..##...##..#..##...##..#.#.###....##.#.#.########.###.#.#.#.##.#..#..#..#####.#.#.#.##.........#.###..####....#.##.##....#.##..##.##.#...##.#..#.#####.#.##..#...#.#..#.#.#.#...#.####..##.#.......###..###..###..#.##.#.#.###..#....#####.#########..#..#....#######..#.######..##.#...###...#.#####.#.#.#.....##.....#....##...##.#.#####.#..#######.##.#..#.######.##.##.##.#.##....#.#######.##..##.#.#.##.#.##.##.#...#######.#######..##.###...##.###.##..#.#...#.##.##.####.#.#####.#...###.....##.##.#######.######.#.##..#.#..#.#.#...#####.....#.##..##.##...#.....##..##.#..###...#
#####.##.##.#....#..####.#.#.#.#.##..###.####.###..##..#.##....#....#.##.##..##..#.#.#..#########....###.###...###.#.#.#....##.#.##.#####.......##..###.#####...#######.#..#.#...####.#..##.##..#.#.######.#...##..#...####.##.##.##..##.##.#....#.##....##..#.#.###.#...###..##..##.##.#....####.....######.##.####...##.....#.#..##..##..#####.#.###.#.##.####...#.##.........###.#...##..#.#.####...##.##.##.##..#.#.#.#..##.##.###.#.##......#.#####.##.########..###..#.###########.....#..##.#.###...##.###.##.##...###..#.##.#.##...##...##...####..#.#.#...#.###.#....#####..##..#.###.##.#.......####..#.#.####..###.#.###.#.......###.####.#####.#########.#.##.#.##....####.#.#.#.##...####..#.#..#..#....#####.#.#.......########......#.###########......##.......########..#......#####.....#.#.#......#.#....##.#.#.############.........##........#####.#.##.#.#.#.#..#....#####.######..###.#.##.####.##.##...#.###
#.............##.#.##....###.#.#..##.#........##..##..##..##.#.####.###...##.#..####.##...##.#.####.##.....######..###.##.#.##...#..##..##.#.#.####..##..#.####.##..#.####.#.#.#......#.##...##.###..#.###.###.###.#.#...##.##..#..##.##.##.###.##..##.#####.#.#.#.####.###..####..####.#.#.##..#.#.#..##....##.###..###..##.####.####.##.####...#...###.##.##...#.#.##.#.###.#.#...##.####.#.#..#.#.#...........##.#.#.#.##..###...#..#.#######.#.#.#.###......##.##...#.##....##.#.#######.#######.....#..#####..#..#####...##.#..#.###.####.##..#....##.###.#.#.#.##..#.##...#.##....##.##...#.#.#####.#####........##..##....####.#########....#.#.#...........###..#.#..##.#...............###..##...#.##.##.#####.####...########.....###.#.##..##.#..#.#####.########.###.#.#....##.#.##...##..#.#####.##.#####.#.##.........##.##.#.....#######..########.##..###..#####.######.####.##.......##.#####..#....#..#.#..#.....#
###.#.#.#####.#..#.#####..##.#.##.##.##.#.#.#..##..#.##..#########....#.#.#####.##...###.##.........####.####.....####..###.##.#.##..##....#.#.####.##..##.#.##..##...##.#.#######.##.#.#..#.##...##.#.#........##.#.#.###..##.###.#...#.##.#...#..##..#.......#.#......##..##....##....#.#....####.##.###.#.##...####...##..##...##...##....###.##.##...##.###.####.##.#..##.#...#.#..##...#.##...#.#.######.#####.###.#..##..######.##..#.##...#.......##.#####.....#.#..####......#.##..........##.#.##.###..##.##..######..#.##.#..##....#..##.#.##..#####.#.###..##.######......#.########.#.#####.###...###.#.#.####..##.#..###.........#.#.##...####.##.#####...##.##.##.##.########.##.####.##..#.................##.#.##.......#########..##....#.##.#.#####.#.#..###.#...####.##.#.###.##..##.##.####..........##.#.#.######.##...#.#......######.#.###....##############.#.#.###.....#.#.#..#...##..##.##########.#.#.###
#.#.###.##....##.#..########.#######.##.######.#..######.##........##.#####.##...#####.######.##.####.......###.###....##...#..#.#..######.#.#..##...##.##......#####......##.##....#.#.##.###..######.####.##.#####.#...##.##..##.###.#.##.###.##.##.##.#.#.###.##.#.#.###..###.######.#.####...##.##...#.#.##.#...##.#..##..###.###.###.##...###...###.#..#.....##.#####.##.##.##.##..###.#.##.#.###......#..#.#...##.##..##..#......##.#..##.###.#.#.##......#.#.#.#.##.#########....###.###.#.##..#.##.....#####..##..##..##..###.##..#####.##.#..##.....###...#.##...#.##..##.###.##..#.####........#..#.#...###...##.######...##.#.#.#.########.##.....#....####..#..#######......#####..........######.#.#.##.#.####..#.#..#####..#.##.###.####.#...........##...#.####.#.#####..##.#..##..##.#........##.#.##.##.#########........#####.##.###.#........#.#.##...##..#.##.#.......#.##########.#.#####.##..........#####...#
#.#.#######.#.#..#.##...#..........###..##.#...##.....#######.##.#..####.#.....####.##.###....####....#.#.###.....#.##..#####.########.##..#.#.#####.#...###.##..##...####.#..##.#.######....##..##.....###..#...##..##.###.########...#.##.##..#..#..######.#...#..###...#.##.###.#....#....#.###...##.######..#.####.#.####.##...####....#.#...##.#######.##.#####....##..#.##.#####.##...####.#...###.#####...#.#.##..##..##...####......##....#.#.#.###.#####.#.#.#.#......##########....##.#####.#..#.#.#...####....##..####..##..##...##..##.#.##..#.#...#.#.#####.##..##..#..##....##.#.##.#.#.####.######.####.##...#.#.##.#####.#.###.#.#..######.#.##.###.###.##.###.##..#.##.....##.#.##.##.#.####.#.#..###..####.#...##...####......#...##.#.#.##.#.##..#.###........#...##..#.#.####..#.##.####.##..#..#.##...#.####..########.#########....##############.##..##..#...##.##.....##.#.#.######.#...#.########.##....###
#.###..#.##.###.##.##.#...#.#.#.#####..##....#.###.####.......####.##......#.#.#....##.#.###.##.####.##.#...##.#.####..###.....###........##.###.....##.##.#.##.####.##....##....#.#.#.###.#####.######.....###.####.#....#.....##...#####...##.##.####......#.####.#...###.##.......##.#.#.##...##.##..##.....##.##...#.##....##.##....##.#.#.#.##......##.#......#.##.##.##.##..##...####.#....#.###.......##########.##..##..#..####.##.####.#####.#..##...#######.#.###.##..........#.#.##.....##.#.##.#.#.###.#..#.####...###..#.####.####.#..#######.##.##.####.....#.###.##.##..##.......###.#........#.#....####..#.....##.....#.#...#.....###.##..#..#.......#.##......#.#####.#.###..###..##......#.#.#.#####....###.#....#.##...#.#.#######.#.#..#.###..##.#.#.########.############.#.####...#######.#########....#.##.#######.....##.#.#.##....####.###.#..###.#..##.##########.##.......##....##.##.......####..##...#
#..###......###.##.##.##.##.#.#..##...##..#.####...#.#..##.####.....###.#.##.#.##.#.#........#........#.##.##..#.##...##.#.#.###...##.###.#..#######.#..#.....###....#..##.#..#.##......##..#.####.###..#.#...####.#.#.##.##.#.#####.##....######..##...###.##....#####..######.#.##.##.#.#..#.#.##..##.##.#.#..#..##.##..####.##..##.#..#.#.###.#..###.#######.##.#..#..#.######..###.#.##.#.##.###.##.#.#####.#.#.#.#######..###...##.##...##...###.#.#####.......#.#.##...##.##.####.#.#..##.##..#.#.#..#.#.#...#.##....#.#...##.####....##..##......##.##..#....###.#.....#..#..##..#.#.###..##.#.#.#.##...##.#...#####.#.#.##.#.#######...#.#......##.#.####.#.#.#..##.##.##...##..#.#.#######..##.############..#.##########.##....#.#.#.......#.#.#.##...##....................###.#.#.#....##..#...###.#.........#.##..............#####......###.#.......#..##.#.#.#.##..........##....#####..####..#.##.#######.###.##.###
##.#...###.##...##..#..###..#.#.###.#.#..##.##...#...##.#..##...#.###...######.##.#...##.##.###.#.#.#.#.##..##.###..#.#....#...##.###.##..##...##....#.###.##...####.##.#..##.#..##.#.#.##.##.#........##.#.#..#.#...#.#..##.#.....#####.#.###.###..##.####..##.###..###.#..#.#.#.#..##.#.##.###.###.##.##.#.#.##.###.###.##...##.##..#.##.#.##..##...#...##.....#.#.##.##......##..##.#....#.#..###..#.#...#.#........##.....####.#..#.##.#..##.##.###.##....#.#######..##.###..#....#####.##...####.#.####.#...#.#..##.#####.#..#....###.####..##.########..###.###...###.#.##.#.########...#####.###.#..##.##..#.#..#.######..#.####..####.#####.###..#.#....#.#.#.##.#..##..#.#..##.#.#...#..#####.............#.#####.#.##.##.##.#.#######.######.#.#..##.##..#.###.#.##.#.#######.......##.#..##.#.#.....##.###.##.#.##.#.#.##.#.#.#.###.##.#.#..############.##.........#.###########.##..########.#.####............#.##...#
#....#.#....###.##.#####...##.#.##..#.#.#######.##.############.###...####.##..##.#.#.##.####.###.#.#.#..#.##....##.#.#.##.#.#.#..#...###..##.####.#.#.#...#..###....#..#.#####.##..#.#..####.##.#####.#..#.##...##.##.#.##..#.###..######.#.......##..##...##....##.......##.######..#.#.##..##.#.#.##..###.#..#.##...##.##.###...####.##.#####.##.###.#..##.#.######...##.#######.##.####.####.....##.#.#.....#.#.#.#######..##..####..#.#.##..#..##...#.#.##......##.###...#.##.#####.##.####.##########..###.#######..#..###.####.######....###........#.##...#...#...#.#..###.#.###.###.####....##.#.##..##.##.##....##.##.##......##.##....##...####.#.#.####.#######..##.#.#.###.#...#...##.##..#.#.#########.#..........##..#.#.#.#.##..##.#####.####..#####...#.######....##...#.#.######.##..###.##.###..#####.#.##.#.#..#####.#........####.#.#.#.#.........###.#.#...#.#...##..#..##.....##.#....####.#.####.#.##.##.###
#.#.##.##.####...#..##...#..#.#####.#.#..#.###..##....##..........#.#.##......##..###.##.#....##..###.##.#..##.#.######.####.#.##.#####...#####.##########.##...##.####.#.#.....###.###.###......##....#.##.##.####.####..##.#...##..##....#.#.##.##..####.#####.##..#.###.....##....########..#.#...###...#.##.#.##.#.##.#..##..#.##...##..##.#..#..##.#####.#......##.###......##.#..##.....##.#.######.#.##.####.####.#....##..##########..##...##..#.#.#..##.#####..#...###..#...#...##..##......##...##...#.##....##...####..###.....#####...##.#.##.#######.#.#.##.########....#.#.#.####.##.#.##.#.###..#.#..##.##.....###..##.#.....#.##..#.#...####.#...##......##.#####.###...#.#.#.#..#.###.#.#...####......#.#.#.#.####.#.#......####.....##....##....##.###......#.##....#.###.....##..##.##...###.##.#.#.###..#.####.....#.##.##.#.#######.......##.#.#.######.#.###...###..#######.##......##...##.#....#.######....#
#.#..#.#..##...#.#.##..#.##.#.##..#.#.#.##..#..####.#####.####.#.######..###.####.#....####.#....##...##.#.##..#...##...#....####.####..#...###.#.#.#.#....#..#######.#.#####.###....##.##..##.######.##.##.#...##...##..#####.#..####..##.###.##..##..##..##....##.####...#.#..####.#.#....####.#.#...#.#.#.#..###..#..#.##.##.##..##.###.##....##.##...##...#.##.#.##...##.######.#.####.#.##..#......#.#.#.....####.....##..##..........##..##.##########.###.....##.###...##.#.#...#.##.#####.##..###.##.###....#.##..#....##...##.##...###.####.#.##......##.#.#.##.....#..#.##........##...###..###..##.##.##.##..##.#.#####..####.######..##.#.###.####.####.###.###....##..###.####.#.##....##.###.#......#.#.######.#....###.##.#.######.##############.##..#.############.#.#.#############...#.#.###.##......#####....#.#.###.#...#.#..#.#.##.####.#######.....####.....#...#.##.##..##############..###.####...#..####.#
#.##.#########.#######.#.#..#..##...###..##...##......##..#....#.#.#.##.##.....##.##.#.##...##.###..####.###..###.##############..#....######.#.#.......##.##...##......#.....##..#.###.#..##..##......###..#.#.##.#..##.##.#..#.##....##....###..####..##..####.##.#....#.####..##......#.####..###.#.###.#.##..##.##.#####.##.#..###.#.#..####.##..##.##..#.#.#..#..##.##.......#.#.#..#.#.#..###.##.######.##.###.#.#.#.##.##..####.#.#..####......#.#.#####..#.####.#...####.#.#.#.#.##.#.#....##.##.......##.#.####.###.###..#..#.######......#.#.##.##.#.##.###.##.#.#...##.###.#######..######.###.###..#.#...##..#.#.....#.###.#####..##.######......#..##....#...#.##..##..##....###.##.#.###...####.##.##.#......##########.##.#.........##.####.#.###.###.........#....#.#.#.........######.##.#...#.###.#.#.....##.#.###.######.##.##...........#......####.#...##.#.#.##.##.....#.###...........##.#......##.##.##..###
#.#..##.#.......#.#..########.##..#...####..#..###.##..##.##.#.#.#.......##.#.#####..######.#..####..##..##..##...#.####.#.......###.#..##......######.##...##.#####.#.#####.######.##..##.##.##..###.#####.#.#.##.#.##...#.##.#..####.#..#.####.##.#..####.#.....####.###..##..####.##.#####.####...#...###.###.##..####....##.#.##.....##.##....#.##...#.##.#.##.##.##..##.#.#.##.#.##...####..##..#......###......#.###..#..##...#######..##..#.##.......#.##.#####..#.####.#.#.#######....##.#.##.#####.##..######.###....###.##.#......#.##.###.####..#.###..##...###.#.#.##...#...###.#.##....#...###.#######.###.#####.#.##...........##...##.##.###########.#######.#####..####.#.######.#...###....#.##..###########.##.##.######.#.##.##.....#.......#..####.#.###...#.##.###.#.###.#..#...####.#.#.....#.#.#.#.###..#####....##...#.##.#.#.##########.#...##.#.####.#.#.##....#.#.......#.#.############.##..#.......####
#######.#####.#.....##..#......##.##.###.##.#.##....##.##.#..#.########.##..#...#######.##..##...##.####..##..#.#.#........#####.#...##..####.#....###..##.##...##...#.##.....##....###..##########...##....#.###..######.#.####.##..#.#.####....#....###.#.#.#.#.##.#...##.#..########...##.....###.#.#..##.#....##....##.#.##.###..#.#..###..#.##.###.#######.##..###..##..#.#..#.####.#..##..##..##.##.#...#.###.####...##.###.#.......##..####..##.#.##...##..##.####......###.......##.#..###.##..##...##.###.......##.#..##..#.##.#.#.###...##....#.##...##..##.############.##.#..........#.##.#..##....##...##......#.#..##.###############...............#.##.#.####.####.##...#....#.#.#.#...#.##.#..##.........#.......#.###########.####.#.#.########...##.#...#.###..#.#...#...####...#####..#.#.###########...##.....#########.#.####.#......#.#.#######..#..##..#.###..####.##.###########.##.#.#.#####.###.#.#####.#
#..#..........##.#.####...##.#.##..#.#......#.##.#.###.##.########.......##.##.##.#.#......##..#.#..#..####..##.#.##.#.###.##....###.#..##....####.....##...#.#.#..#.#.####.#..##.#...##.#..##.#.#..#.##.##.#.####.##.........##..##...#.#....##.#.##.##....#.#.#.##...#..####...##.....#....##.##...#.####..##.#.##.##.##.#.##.###.##.##..##.##..#..##....##...##.##...###.####.######..#.####.#..##...#.#.#.#.###...###.#####...##.#.##..####....#######..#####.......#.####...##.############....##.####..#.....#.###..####..##.#.#..#.#.#####.##.#.##..#.#####.##.....#.#.##.###..##.###.##.########....#######.##.#.######.##..........#.#.###.###.###########........#.....#..##.###.#...###.#.#.####.#.####.#.######.#####.....##......#..##..#..........#.#.##.#.#.#...##.####.##.#...##.#.....######....#.#.#.##.###..#.#.........#.#...####.###.##.#.......#.###..##.#...##....###....###...##.............#...#.#.......#
##...#.##.#.#.#..###....###..#..##.######.#.#.##.#...#.##.#........##.#.###.##.##.#.#.#.#.####.#.##...##....##################.#.#...##..########..#.#..##.##.#.####.#.#....#.###.##.##..##.#......##.##.#..#...##.##.#.#.#.###..####.##.##.#.##.#.#...#.##.#.#.#.#..#.##..##..#####.#.###.###..##.#.#..######..#..#..#.#..#.##.#...##.##.##..##.##.###.######.#######.###...##...##....##....#.#.####.##.#.#.#...#####...#.###.#.##.#..#####.####......#######...#.#.#.#....#.#.##...#........##.######....###.#.##...##....##..######.#.#...##...#.#.##.##.....#..##.##........######..##...#.....##.########.##...###...#.##..##.#.#.#.#...........#...#.......#.#.##.#...###.##.##.##..###...#.#.#..##..####...#........#######.#.##.######.####.##.#.#.#.#######..######.###..##..##.############.##.....##........#...##.####.##.#.###.##.##..#.#........##.#.####.#.###.#.#####.#..##.##.....####.##.#.#####.####.#.###.#.#.#
#..#.#.#..#.#.##...##.#.####.#.######.#...#.###..##.##.##.#.###.##.##.###...##.#......###.##...#.#..#.##.#.###.#.##...#...##.######.#######.#.....##.##.##.#..#.#....#.####.####..##.###.#....#.##.##..#.##.#.#..#..#####.#...##..#.#.##.######..#.#.#.#.##.#.#.#.##.#.#..####.....###..##...##.##.#.##.#.#.######.#.##.#.#####.#.#.##.##..##..#.##...#....##.....##.....##.#####..###.##..#.####...##..#.#.#.###.....###.....###.##.##........##..##.#.#.###.##.##.#.#.##.#.######.#...##.#.####...##...#.####.#####.###.##..##..#.#...#.###..#.#.#.#..#.#..#.###.##..##.#.#.#.##....##..##.##.#####.....###.#.###.##...#....##..###.#####.#.#.###.#.##.##.####.##.#..#.##.#######.##..##...#.########..##....#####.##.###.......###....##...#..##...#.#.######.#..##.....####.####..##..####.##.##########.###.####.#######....#####.#..##.#.....######.#.#.#######.##.#.#.###...#.#.##..#..#.#.#......####..#.####.##############
#.##.#.##.###.#..######.#..#.#...##.#.#.#.#.##..##...#.##.#####.##.##.##..#.######.#.####.####.#.##.#..#####.#.#..###.###.....#..####.###.#.#####.##..#..####.#.##.#.#.#.....#.####...##.####.#.#...##.#.#..#.#.######.#..#.#..##.#....###...##.##.#.#.###..#.###.#..#.##.##...##.##...###.######..#.#......#.##...#.##.#..##...#.#.##.##.##..##.##.#.##.#..##.##..##.#.##.....#####....##.#####..#.#######.#.#####.###...#.#.##..#...###.###.##..##..#........#.######..#.#...##.####.###.#..##..#..##.##..##...##.#...#..##..##...##.##.##..##.#.#.##.####.#..##..##.#..#.#####..######.#####.......###.........#.##.#.##.#..##...#...#####.#..####.##.......#..######.##.....#.####.##..#.#..#.#.##..####.#..##...##########.#.######..#.####.#..#####...##.#...##..#.#....#....##..##.............#.#....#.#....#......##.##.....###########.#...#.#..###....#.#.....###.#######....#.###.#####.###.##.###.....##.#.#.##.#######
###..#.##.##..##....##..##...##.##......#.#..##.#..#.####.#.....##.#...##.#..##....#.##....##..#..###.##.....#.#.##...#.#####...##.##.#.#.........##.###.##...#.##.#.#.#.#.#......##.#####....#.#.#..######.#.#.##.....#.##.#######.##..##.#....##.#.#.##..###########.##.#..#..######...#......##.#.#.#.##...##.#.####.#.####.##.#.#..##.##.##...#.#..#.#.###.######.#.##.#.#...#.###.##....##..##.....#####....##.#.###.###..##.#.#..##..##.###.###.##.##.##.#....##..##.###....###....########.##.######..#.#....#.#.##..####..#.#..##.##.#####.#..#..##..#.##..##..#.##.......####.##...##..#.##.########.#.#.######..#.##..#.#.#.###.###.##...##..#.#.######..#.#####..#.#......#.##.#####......##.#.##.#.###.#.........##.#......##....#.#.##....######....##########.#...##.##.##..#.#####.#.#...#.##...###.###.#.###..##.#.#..#.##..##...#.#.#.##...######.#.##.##.....######.#.#.##.....##..##.....##.######..........#.#.#
####.#.#..#..###.####..####.##..##.#.##.#.#.###.#.##.###..####.######.##..#.######.#.##.##..#.#####...######...#.#..#.........#...........####.#.##....###..#.#.##.#.###.####.###..#...###.##.#.####...##...#.#.###.##....#####.######.##..##.#.##.#.#..##..##..........####.##.#......###.##.#.##.#.#.#..#.#..#.#.###..#.#.#..##.#.#.##..##.###.#####.######.....##..###..#.#.#.#.##...##.#.##.##..#####.##..#.###.....#...#####.#.##.##.###..##..##.##.##.###########.##...#.##.#.##.#######.....#..###...##.#.####.#.###..#.##########..#.....#.#.###.###.#..##.##.##.##.#.#.#.......#######.#.#####.....#####.....##.####..######.......#..#.#..##.#.#....#.##.....####.###.#.#.##.##...#.###.#.##.....#.#.#...#.#.##.#####.####.#.###.#...###..##........####.#.##.#.####.###.##..##.#.....#.#.#######..#...####..#...##.##.#.##......##..#.#.#...##.#.....##.#.#######.###....###.#..##.#########.#.#..#........####.#####...#
#....#.#.##.##....##..##.....##.#..#.#..#.#.#...######...###....##.....####.##.#...#.#..#..##.#.#.##.##.#..###.#.####.##.#.#.##.#.#.#.#.#.#....#..##.###...##.#.##.#.##..#....###.###.##...#..#.##...#####.####..#####.##..#.........####.##..#.##.#.##.#..##..######.#.#....##.##.#.#..##.######..#.#.#.##.####.#.#.#.##...##..###.#..##.##..##..##.#..##....#.#..##..##.##.#.#....#.#.##.#.#...##..#.....##.#.##..#.##########..######....##..##.##..#.##..........##..##.####.....#.....#.#.#.#.####...#..#.#....#.#...##.......#..##..###.######...#..##.####...#.#..#..#######.#.######.#..#...#.#.#########.##.##.....##.....##.###.#.#.####.##..#.#.##....#.#.###.########.#..#.##.#.....#.#..##.#.##.#.###.#.#..#.....##########.#.#.##########.###.#..............#.###.####.##..#.#.#.###.......##.#.#..#.#####.#####..#.##.########.#.#.##.###.#.#.#........#.#.#.....#####..##########.##.###.#.#########....#.##..#.###
##.#.#.#.#..###.#.###..##.#.##..##.###.##.#.###....###.#...##.#.###.#.##....#....#.####.##.##.#.#.##.#..##.##.........#..###.##.###.###.#.###.###.#...##.#.##.#.#..#.###.####...#...######.##.###..#.....###....##.#....##...##.###.###...##.##.##.#######..#####.#...######.##.##.#.##.####.#.##.##.###.##...######....##.##..###..#.##...##..##....########.#.##..##..####.###.######.#..###.#.#..##.#.######.#..##..........##....##..#.#######.#..##.##.##########..##.....##.#.###.##...###.#.##...###.#########.##.####.######.####..##.....###.###..#...##.#####.###......#######.....##.#.###.........#.######..##.#####.#.##...#.#.#....#..##.###..#.#.####.#.#.#.#..##########..##.##.#.##.##.#..#.#.##..#.#.##.#.#............#.#.........##.#####.#######.#.##.......##....##.###.######.##.#.#..#.#.##.#...#..#.###.###..#.....####.#..#...#.#.#.##.##.##.#.#...##.####.######.##..........#.#...#.#.###.#.##.##.##...#
##.###.#.##.#...#...#####.#..##.####...##.###...##.#...##.###.#.#...############.#..###########.#.#####.#...##.##.##.###.##..##.##..##..#.##...##.##.#######..####.###.#####..#.##.##..##...#####.###.#.#####.#.##...#.#####..#...#.##..#.##..###..##......##.#.....#..##....##..#.#.##........##.##...###..#...#.#..#.#######.#.####..##.###.##..######.##...#####..##....#.##.......######...#.##.#..#...#..#.##.#..##.#.##.###.#.####.#.......#.#.##..##.........###.####.#.##.#.#.#.##.#..##.#..###..##.#.#..##.#######...........##..##..#.###.#...#.####.##..##...##..#.##.....#.#.#####..#.....#.#####.#.##.####.##..#.##.#####.########.##.###.##..######.#..........##.##.....##.###############.########.###..########.#.#.#.#.###.#.#######......################.#.#..#.#.##...##.....##########.#.#......####....#######.#.#####.##.#.###.####.#..#.##..#.....#..#................#.#.##.#####.#.......######.#.....###
#..###########.##.#.##..####.##.#....#.##...###.####.#.####...####.##............##..##............##.#.###....#..##.#.#..##.##.#..##..##.####..#.#........##.##....##.###...##.######....###......##.###.....#####.##...##..##.#.#..##.#..#.#####..###.##....####.###..#.##.#..####.#..#.#.##..###..#...##.##.##.#.##....##.....##...##....#####...#.....###.##.###.#..#.##..##.####..##....#.#.##...##.#...##.#..##..#.#..#.##..#...##.#.#.#######.#..###.##.####..##..##..#..#####.###..########..###.#......##...##.#.###.#.####.##..######..##.###.#....#..##.###.####.###..#.#.......#.####.#########.#........######...##....##..##.#.####..#.#..##........#.##.#####..#....#####...###.#......##........##..###.....########.###..##.#####.##..##.#................###.#.##.#.#..#..#.#.#.......##.###.##.#.####.##.#...##.#....#.....####..##...##.#.#####.##.##.##.###.#.##.#.#.#.#.##.#..#..#.#..#.#.##.###.#.####.##...#
##...##.##......#######......##.####.#..#.#.#......#.#.#.###.##.....#.##.##########.##..##.#.##.##..........#.###.##...##..###########.####....##.##.#.#.#.##..##.###......#..###.#.#######.####.#.##...###.#####...##.###..##..#.##..#.##.#..#.#######.####.##....#.##.#.##.#.##....##.#.#..#.#####.########..##...##.#####.#.#.####.###.#..####.#...#.###........#.#.##..##.#.....##.####.#######.####.#.######.##..##.#.##.##.#######.###......##.##.##...####.##########.##...##....##........####.#.###.##....#........###.########...#.###.##..##.#.##.##..###...#.#....##.#.#.##.##.....##...........########.#.#..##.##..##..##........###...##.####.##.###.##.....##...#.###.####.......########.#.#.#.##.##.#.#.#.......####...##.........#######.##.#.#.###.#.#...#.#..#.#.#.###.#.####.#.##.....##.##.#.##...####.#....##.#...#.#...##.####.###.#.....#..#..#..#..##.###..###.#.###..#####.#.##.###.##........##...#.###
#..#..#.#..##.#.#....#####.#######...#.##.#.##.###.#.###.#.######.#.######..........##.##############.##.##.#.#.#.##.########.##..........###.#####..#.#.#..##########.###.#.##.....#............#.#..#...#.#.....#.##...##..##.#.#..##.#####.#..........##...#.##...##.#.#..#####.#.#..#.#.##....##....#.##..###.#..#.##....#.#..##...##.##..##..#.###...###.#.######..#.##..#.#.#..###......##.......#.#....##...##..#.#..#.##....##....##.###.##...#..###........#....##..#..#....#.###.#.##.####.....#...###.############........#.#.#....##....#####.##..#.##...#...##.####.#####...###.#..#.#.####.##........#.#.#.##...##.##.####.#.#.#..##.###.....#..########.###..##.##......#####.#.#.....#..#.#.#.######....#.#.#######.#######.#.#########.###.##.#####.##############.######..#...##.#####.#.##..##.#....#....####.#..#.#.#######..###.##...#.#.#.#.#.######.#.########.##########..##.#.#.##.##...####.###..##.######
##.##.#...#####.#.##.#......##.#...#.###..#.#...##.#.###..........#.#......#.#.##.#.##..##..##.#......##.##.#.#...##..##.#.#.....##.##.#.###....##..##.###.##..........##..########...##.#.##.##.#.#.###########.##.##.###..###.####.##..##.#.#.#.####.#.###.##.###.##..#.##...#.######.###..#.#.####.#....#####..##.#..#.#.##.##.##.#..###..####.#..##.#.#####.....##.##..#.##.#.##.##..##.#..##.##.#.#.##.####.#.#..####.######.####.#.###.##...##.###..##.###.####.########.##.#.##...#####..##.###.#.#.#...#..........#####.#.##...#.#.#.###.#.##...#..##.####.#.#.#.##..##.....##.#.###.##.#.#....#.##.#.##.#.###....##.###.#..##.#.#.#.#.##...####.####.....##.#..##.##...###.##....##.#########.##.###......####.###..........##...#.#.######....#.###...#.#.........#.########.#.#####.##.....##.#..#.##..##.######....###.####....#.###...#.##.#.#.#.###.###....###.......##...##.##.###....#....#.#..#...##...##.....##..#
#...###.#...#####.#....###.##....#.#..##.##.###.#..###...##.#.###.##########.#.#..#########......##.#..###..#.##.###.##......#.#.##.##.###.#.#.####.##..##.####.#.####.##.##........#.##.#.##.#..#.#......##......#.##..###...#...##..#.##....#.#.#....#..##..#.#....##.#.#..#.#..#.#.#...##.###.##...####..##...##..#.####.##..#######...#.###...#.###.###..##.#####...####.##.#..#.###..###.##..#..###.##....#.###.##.#..#..##...##..#...#..#.#..#.##..##....#####...###.###.##.#.##.#.....##....##..#.#.#.#.#.#.##.###...##..#.#..#######...#.#....#.#.###..##..#.#.#.##.####.#.#####...###..#.#.##.####.##########.##.##...####....#####.#.####...##...##.######.##..#.##.#...#.##.##.##..#.........######.#.####.....#.#.#.##.#....#.#.#........####.#####.....#######....#..##.#.......#.##.#####..#.######.##..#.######...###....####..##.###.##########.......##...#.#.###..#.#........#########.#####.#.#..##.##..###..#.##
#.#####.#####.#####.##..##.##.#.##.#.##..##.##..##.##..#.##.#.#...#..........#.##..##.###.#.#.#.##..##..##.##..###....##.#.#.#.#.#..####.....#...####..##...#.###########.###.#.#.#.#.##.###..##.#.#.#.#.##..####.#..##.#.#.#.#.#..##.#..##.#.#.####.#.#.##..#######.##.####.####.......#.##..##..###...###.####..##.#.##....##...#.#.##.##...##.##...#..###.......##.#...##..###.##..###.##...#####...#..##.#######.#..##...##..#.###.#.#.#.####.######.###.#.......#.......#..###..#.#.#.###..##..##.#.#.#######.##..##########.##......##.###.###.####...#.####.###.#.#....####.#...#.#...##.#.#.#####.#####.#.##.#.#########....##..#..###.#.##.#.##.###....###...#.##.##.##.##..#..#####...#.##.##..#...#.#....##.#.##.###..#.#.#.##.###.#.#.##..........#.#.#...#####.##.#.##....#.########...###.##.....##..##......#.##########...###.####.#.#....##.####.#######.##.#...##.#.#.#.####......#.####.#.#.#.#####..##.####....#
#..##.#..##...#.###..##.##.##.####.#..##..#.#..##..#..##..#.#####.#######.#.######.##.......###.##.####..###..####.##..###.#.######....###.#.#.#.#..##.####.#..............####.###.#.#...###.####.###.#.#..##....##..###...#.#.##.#..#.##..#.#..#.#####.###..##......#.#......###.#.#.##.##.######...#...#..##..##..#..##.#..##.##......###.##...#.#.##...#.#.#####..#.#..#####..#####...###.####...#.#####....##.....##..#..#.##.#.#.#####....###.#.#...##.###.##.##.#.#.###.###..####.#...##..#.###.#.#..#.##...##.##...#.#######.#.####....#.#.....######....###...###.####......###.#.#..#.###....#..###......#.....#.###.###.####...###.....#.#.#....##.#.....###.##..#..####.###....##.##########...#.#.#.#.###.#.##..##.####.#.##..##.#.#..##.#.#.#####.###.#.....######.#..#.##......#.###...#.##.###.###..##.###.......#.#####.##....##......#####.#.##.....##...###.#..###.###.####.#.##...#.#....######....###....##.#.#
#.##....##..#.#.#.#.###.##.#..##...##.##.####.#######.#..##.##.##########.#...#.#..#..##.#.####.##.##.#.########....##########......#.####.#.#.#...##...##..######.#.#.#.#..##..##..#.#.#.#...#.....##.####.#####..########.###.##.#.##.###.#.#.##..#......##..###.##.######.#.#.#.###..#.##....##..#.#.#.#.####..##.#.##..#.##...####.#...###..#.###.##.#.#.#....#####.#.##.....##.....#.#....#.#.#.###.....#.##..#.#..#####.###..#.......#.######...#.#.#..##...#.##.#.#...#...##..###.###.##.#####..####...##.#.##....#...#...#.###....########.#.#......##.###...#..##...####.##..##.########...#.##.##.#.####...#.#.#...#.#.###.#..#...#.#.########.###..#.#.#..#####.######.#..#######...#.#.##.###.##.#######.###.##.##.....#####..#####.##..#####....##..#####.#####..#....#######.####.####.##.##...#..###..#...##.######....##....##....###.##.##....##.#.###..####..##...#...#....#.#.##.#.....#####.#.##.#...#.#.###.#.#
#..####..##.#.......##..##.##.###.##..##.#.####.......#.###.#.............##.##.#####..###.##....###.....#.###.##.#.####.##.######.##.#....###.#.#..###..######.#..#.#.#.#.########.#########.###.#..####....##...#####.......#.####.##...###.#.###...#.####..######..##.....#.#....###.#..##.####.##.#.#.###.###.##.#..##.#.###.##....#.#.####.#...#.#..###.##.###.###.#####.#.####.#.##.####...###...##.#.##..####.#############.#.#.#.###......#.#####.##..##.#######.##.######..##.########...##..###.##.#####..##.#######.#.....##.#........###.##.##############.##..#...##.##.###......####.##..#.##....###########.###.#.....##.#.#.#.#........#...#.##.####..###...##....##.......#.#..........#.##.........##..##..##.#####..####.##...####.....######....#####..#.##.####.#...###.......###...###.#.##.#.##.###.....##..#.##..#.######...#.....##.######.#.##....##.##.#.#.####.#.#####..###.###.......##.#.#.###...#.#.#
#.###...######.#.#.####.#######....##.##....####.####.#.#...####.#.#.####.##.##.##....###..##.##..####.###.#......###..#.##..##....#..##.#..##.####...##.#......########.#.##....#....##......##..#.###.#######.#.....####.#.##....###..#########.#####.##.####......##..##.##.##.#...#.##.##.##.###..#.###........#.#.##..#..#######.##.#.#....##.##.##..##.##.......#.....#.#.##...####.##...#..######..#####.##.........#....##.#####...#.#.##.....##..##.##..#.#..####.......##........##.###..##.....##.....#.###.........##.##..#.##.#.###..##.##...##.###.##....#..##.#.##.#..#.#.######.#..###......##....#.#.####...#...###.##.#.#.###.#.#.#####.##.##...###...##.##..#.###.#.#####.#.#.#.#.#.##..#.#.#.#.#..##.###.##....#..##.#..##.##########...##...####.#.#.##....#......#####.#########.###...####....#...#.#.#....##..##.#....#######.#####.......#....#.#.###..###.#..##..#....##.##.......#####..#.#.#...#########
#.#.###..##..#.#.#.##....##..####.#######.#...##.#....#.#####....#.#.#....##.##.#####.##..#######.#....#.....#.##..###...###.##.##.##.####.###....###.#####.###.#........#######.###.#####.#.####.###.#.#.###...###.#.##...#..#.###########.##................###.#.##..###########.#####...#.##.....##...#.###.#.##.#..##.##.#.......##.#.##.#..#######.##...##.##.####.##.#.#.##.#.#.....##.###......##...##...##.#.#.##...#######..#..#.###.######..#####..##...#.##.###.##.#..#.##.###......##.#..##.##..##.##.#...#.#.#.#.########..###.####.##.##.###....#.##.##.#.##..####.##...#.#....#.##.#...##########......#...#...#...###..######..###....#######..#...#.#..#....##...###.....#.#####.#######.#.#.#.#.####...##..###.##.##..#.#####.#..#.##..######......#....#.##...########....##.#...####..#..#.#######.####.##.########.##.#.......#..##.#.#####.#.#.##.#...####...##..#.###.#..#.####.##########.#####.#.####.#..#
#...###.####...#.#..#.#.####..#........##.#.#.##.####.##########.#.#.##.#.##.#...##....##.#.#...######.##.#.##.#..##...#........##..###....##..##..####.#.###.....###.#.##........##.#.#...#.#..#...#.#.#.....#..##.#.##.#.####...##......#.###.##.#.##.#.#.###...#..##.##.##.#.###.##.##.#.#..###.#.##.#####...#..####.##..#.###.#.#.##.####.##...#.#.#####.##..##....#.##.#.#.##.####.#.###.#...#.##.#..#.##.#..#.#.#..#.#.......##...##.##.......######.####..#....#..##..#.#.#####...##.#.####.#.##..##.######.###.#.#.#.#........#.###..#.####..##.....##...##..###..##..#.####.#.#...####..#####........###.####...#.##.######...###.#.##.####.#......##.###.####.##.#.#####...##.##.####.##..#.#.##########...##.#####..##.......##.#.##..#.##.###...#..#.#.##...#.##.##.###......##.#......#....##.##.........#.#.####.....##.#...#.##.#.#######........#.#.#######.###.######.####.########.............#...###.#........##
#.#.#...##.###.####.######.##...##.#.#.##.#.######.....##........#.#..###.##.#.#....#.##..#.###.##.###.####..####..###.#.##.###.##.#####.#..##.###...##....###.##..##.#..###.##.#......##.##.##...###.#.###.####.#..#.#..#....#####..#.##........###.#..#.#.#...#.##.##..#.##...........###.####...#..#....###.###..#.#####.###...###.##.##...##.#.#.#..##....##..##.#####..#.###..###..#.#...##.#######.#######.####.#.##.#.##.#.####.#####..#.#.#........##...##.##...########.....#.####.#....###..#.##.....#.####..########.#.#.#####.##.....###.#..#####..###..##...####......#.#.##.###...###....#.######.#...##.########.##.###.....#.##...##.#.#.#.#####......######.#...##.###.##....#.###.......#.#....#.#.##.#####.###.#.######...#..##.#...####...####..##.##.....###.##.#####..#.#.#.##.#####.###.#.######....#####.#....#.#.#.##.#..##.#.##.#######.#....##.#.#....#.#.###.#...#.##.#####.#.###.#.##.#...###.#.#.#.###
#.####.##.......##..#..#...###.##..#.#.##.#.##.####.#.##..###.##.#.#.##...##.#.####.#.#..##.............###.##....######.#....#.##.##.####.##...##.###..##......##..###.###..#..##.#.###...######..##........#.#.#.##.#.##.##..##.######..#.###.##...##.#.#.#.#.#.#..###.#..###.#.###.#..##.##...#.##.##.###...##..##.##.##.##..#.#...##.#..#..###.....######..##..#.....####...#.##...######.##...##.......##......###..#.#..###..##....##..##.#.#.#.#.#.##..#.##.##.#.......###.#.##....#.#.#.#####.#.####.#....#.##.....##...#.#...###.#..#.#..##.##.....############.#.#####.###.#.#......###.##.###...###..#.#.##........#.#..#.#.#####..##.#########..#.###.#.#..##.##...######.#####.###...#.#####.....#.##.####...##....###.##.#.##.##.###.#.###.####....##.##..#.#.#..##......###.#########.....#.#...#..##########.#.############..#.##...............#.#.#####.####.###....#..#.###.......##.#...######.#.#..######.#...#
#..#.########.###..###...###.#.##.##.###..#.#.......#..##.#...##.#.#..##.###.#.##...#.##.#..##.##.#.##.##....##.###......#.#.##..####.#.....##.###...#.####.#.####.##...##..###.#..#.#...#####....###.#.##.#.#.#.#.##.#.#...##.......###.##.#....#.#.##.#.#.#.###.##.#...##.....####..#.#####..#.#.##.##...#.#..##.......##.##.##.##.##..##.#.##...#.#.....##.####.#######.##.#####..#..##....##.#..#.#.#.###..#.##.##..##.##...#.####.#####..#.###.#.#.#..##.#..#..###.#######.###.##.########.....#.#...##.##.#....##.######.##.#.#...#.####.#####.###.####.##.#..##.......##...##.#.##.###...#..#.#...###...#########.######.#.##.#....#..##..#.##...###....######.###.######.#.#...#.#####..###.....###.#####..##...#..##.#..##..#...............#...#.##############.#.##....####........##...####.#####.###.....###.#.....#.#.#.....##.####.###.#.##.############.#..#.#.#.#.##...##.#.#.########.##.###...###.##...##...##.##
#.##........#.###.######.......##..#...##.###.#.#####.##..##.##..#.#.######..######.#..###.##..#..#.##..##.#.##########.##.#..##.#..#.##.#.##....#.######.#.###....##.#.##.##.####.#.#.#####...##...###.##.#...#.###..#.##.##..#.#.###.#.####.#.####..###.#.#.#...##.#.######.#..#.####.....##.#.#.#..##.###.#.###.#.#.#..#.##..####..#.#####.##.#####.#.#.##..##...........####.###.#.##..#.##..#.##.###...#.##..###..###.####.#..#.#.##.#####.#####.#.#.##..#.#####.............####.###...##.#.#.###.#..#..#.#.##.##....##..##.###.#....###.....###.#.......#.#.##..##.#.##..#.##.#.##...###...######.....#..##.#.#####.###.......##.#...####......#...##.#..##.#####.......#.#...###.#.#.##...#.#.#..#####..#####.#.##..#.##..##...####.######.#...#...........#.#########.##....#.#.#.#####.######..##...##..#.#.......###.......##########....#.#..#.........##.....##.#.#....#.###.............####.....#...#..##.#####.#####
#..#.#.##.#.....#..##.######.#..##.#.#.##.##..######..###.##.##.##.####.#...##..#...#.##....#####.#..##.######.#.........#.#.##..##......#..#.##.#.##.#.......##.#.####.##.##......#.###...##.##..#.#...#..##.##..##.####...##.#.#.##....#....#..##..##...#.#####..#.#..##.##.##......##.####..#.####.##...#####...#####.####..##....#####....#..#.....#####..####.#.#.#.##..#.....#.#..##.#####.#..#..##.#.#..##..###...#....###.##........##.....##.#.#.###.#.#.#####.#.#.#.##.##........########..##.#.###.###.#####.##..#.##...##.####...#.#.#.#.....#.#.#.....#####..#..####..#####..#######....##..#.#.#####.........#.#.############....##.#.#.#####..##.....###..#######...#............#####.##..##.#.##.#.#.###..##.##.##..#...##....##..##.####.#.#.#.#........##...###.#.#.#.#............#.####.###.##.#.##.#.##...#.###..........#.#.####.##.#.#.######.#.#........#.##.....#.#.#.###.#.###..##.##.####.##..#.##.....#
#.##.#########.###.#......#..#.##..#.#..#.#######....##.######...####.....#..##...#.#..###.##.#.#########.#.#....##.##.#####.##.##..#.#.###.#..#.#.##...####.##..###.#...########.##..####.....#.#####.###.##..#.#########.#####.#####.#.###.##.####.####.###.....##.##.##....##.##.#.##....##.#..#.#.####.###...#....##....#.##..##.....####.#.######.....##....#.#.#.#.###...##.####.##...##...#.###.##.#.##.###...#.###.##...#..##.#.#.#..##.#######.#..##.#.......#.#.#.#..#######.###...#...###.##.#...#.##...##.###..#######.##...###.##.#.#.##.#.##.###.###...##..###.##...###.###......##.##..##.#.#.......##.#.##...#.......#.#.####.###.#.#..########.###.....###.##.#.####.##.#.#.#.############..#......#...##..#.#...##.###..#.#.####..#....#.###.#.####.#.#.##.#...#######.#.###############.###...##.#..#.#.####.#.########.#.###.#...############.#.#.###.#.#.#.######.#.##.###...#####...###..#....#####....#.#.###
#..###.........#.####.#.#...##..##.#.#.####.......##.##........#.#....###.#######.####.#...##...###....##.....##.##.##...##..##..##.###.##..#.####.######....#..##.....#..##.##...#..##....#.#.#.##....##..##.##...##.#........#...#.#.#.#...#..#.####....##..#.#.#...######.##..#..#..#.#.##..#.##......#...##.##.#.####.######.##..##.###...#.#......##.####.###.#.#.#...##.##....##..##.##..#.#..##..#.#..#.#...#.#######..#.#.##..#.#.#.##....##.##.#.##..###.#########.##..##..#....#.#...#...######.#.#.##.#.....###.#.##.#..##.#...#..###.####.#..#.#.....#.#####..####..#..#....##.###.##..#.#####.#.########.####.#...#.#.#.......##...#.#.##........###.#.#.#.............#..###.###..#.#.##.##.#.##.############.####.##..###########...#####.#######....#.#.#.##.#.###########..........##.#.#.####.#####.####.#..###........#.#...#.#.#..##.###..#.....#.###.#####....##..#.#####..#...#####.#.##.#.##...##..##.#.#...#
#.###..###.#.#...##.###.##.###.##..#.#...#####.#.##...##.####.######.##...##......#############.....##..##.##.##.##.##.#..##.##.##..##...##.#....###.####.##.#.#####.#.##.....#####.######.#.########.###.##..##.####...#.#.##.#####...#####.##.....##.##..##.#.#.##.##.......##.##.#.##.#.#####.###.#.###.#.#####.####......##..##.###...#.#.#.##.#.#.#####.....#.#.#.###.##..#.#.###.##...##.###.###.####.##.#.#.#.......##.#.###..##.#.#.###.#.....#######.##..........#.##.####...#######.###.###.....#####..##.##...#....#.#.##..##.#######..##..##.#.#.##.#####..##..##..###...#.###...#####.#.#..#..#........#.##.#.#.#.###.#.##.##..#.#####.##.##.###.....######.#.##.#.######..##...#.##.#............##.##.###.##....#.###....##.#.#.###.....#......##.##.#.#.#.##.#...#.#.#.###############.#.#.#.##..#.#...##....##...#.#.#.####.#.#.#.##..#...##...###.....#..#.##.##########.#.########.##.....######.#####..#########
#.##..##...#.#.#.#......#..##..###.#.#####..####..#.#######....##.#..#..#..#####.##.#.##.###.#..###.###....##.##.#..##.##.#...#..##.###.##..#.#.##........##.#...##..#..##.#.##.##...##....#.##.......#....##..#..##..###.#.##..#.###.###....#..###..#..##.##.###.##.##.#.##.##..##.#.##.#..##....##.#..##.#.#.#....#.##.##.####.#..##..#####.#..#####.....##.#.##.#####....######.##..###.##....#.##....##.##.#.#.############..##.##..#####...#.#.#.....##...##.#.#.##.##.##....###.....##...#####..#.#..#..##.##..#.###.####.#..##..#...##....##..###.#.#.##...##..####..##...##.##.#.#.#.....######...###.##.####....#.#.#..##.###...#######.####..##..##.#.#......###..#.#.....###.######......#.#.#.##.#............##.#####.##.#..........#.#.#.###.#.##...#######.##.#.#.........########.............##...#.#.###.#####.##.###....#######..##...#....#..####.#.##...##.......#.##.#.......##..##.##..#.#.####.###...##.#.##
#.##.#####.#.#.#.#.##.#.##..##...###....##.##.#..####.......#.##..#####.########.#.............####...##.#.##..#.#.###.##.##.######.#....##.###..##.###.#.#..##.####.##.#..####....#..##.###.##.#.#.#.###.##..###..#.##...#..##....##...####.##..##.##.###..####..#..##.###..#..##..#.####.####.#..#.##..###.#...#.##.....###.#..##..##.....###.####...#.######.#####.###.#.....########....###.####..#.#####..#.#....###.....##.##..##...##..###.#.#.#.#..##.##..#.#..#..###..##...##.##..##.##...##.#.##...##...#.##..##......#.###.##.#..#.##..##...###.#.##.####.##.#######.##...#.#.#.#.###.#..#.###...#.##....###.##.#######..####.....##.....##..##..###.#.#######..####.#.#...#......#.##.###.###..#.#.#.#.###.#.##....###....####.##.#.####.#..######..####.#..#.######.#########........##################.#..##..##.####...######..#.##.##..#####.###....###.##.#..#.##.####......####.###.##...##.....###...###.##.....#
####.##....#.#.###########.##..###...####.......##.###.#.##.#..##...###..##......#.######.##.#.##...###..####.##.#.#...##.##...##...###.##....#.##..##..#.##..###.....#.##.##...#.##.###.###.#..#.#.#.##...##.##..##..##.###.##.#####.#####..##.##..##.##..##....###.####...###.#..##....#.##...##.#.##.##...##.##.####.#..##.#.###.##..#####...##...#.#.###...........####.#.#.......###.#.##.....##.#....##.####.####.#.#########.##..####.##...###.#.####..#..##.#.##.##...##..###..#..##.....####.#.#..#..##.##.##.##..##.#.#.##...####.#.##.#####...#.#.#.....#.##.....##..##.###...###...#.##.......#####..#.##########....##...###.##....##.####..##...###.......##.##...#.#.#.##.#.###..#####...##.###.###...#######.#...####.####..#.#...##.##...#.###...#....##....##.........#..#.#######.#......##.########.###..#.##...#####..##....#..##.....#..############.#.##..#..###.#######.####...###.######.....###......#.#.#
#....####.####...##......#..##...###...##.#.##.##...#######.#.##..#..#..#############.....##.#..#.#...##.#.....###.#.###..##.#..###.##...##.#.#..##..##.###..##...##.##.##.#..#.####.##....#.##.#.#.#####.##..##.######..##..##.....###.....##...##.##..#.####.#.##..#....#.#.####.#..######..#..#########.#.##.##.#....#.###...#...###...##..#.#..#.#.###.####.#.#.##...####.#.#.###.#...#.##.##.##..#.########..................#.###....#.##.#...#.#....##.##..#.#.##.##.#..##...##.#.#####.#....#.####.####..#####..#.##..#.#..#.#..##..#.#.....##.###.####.##....##.####..##....##.##...#######.##.#....##.##........#.#.#########.#####.#..#.####.#####.##..##.#.##...##.#########.#...##.....#.#.##...#...#.####.##.########......#.#####.###.#..#.....#.#...########..##.##.###.#.##...........####..........##...####.##.#..##.##....#.##.###.#.####..##......##..########......#.#..#..#.#.###.#...#.##.##.#####.##.##.#.#
##.#.#.##.#.#..#..###.##...####.##...###..#.#######.#.......#####.##...####.##.##.#.####.######.###.#######.#.####.#.####..#.####....##.##..#.######.##...##..##.##..#..##.##.####...####.##.#..###.##..#..#.##..##.##..####.##.#.#...##.#.###.#.##..##.#...####.###.####.#...####.##......##.##.........#.#..#.##.##.#.#...##.##.#..########.########........#.#.#.#..#....#.###..##.##.##.#...#.##.##....#.#.##.#.#.#.#.#.#######...##.#.#.##.##.####.##..###..####.##..####..##.#####...#####.####...##....##.....#.##..#.##.##.####..####.##.##.#..#####.....##.#.......##..###.########..#.##...##.##.#..#.###.#.#.###.#.#.#..#.##...#.####.#..##......###..#####.####..#.....#.##..#.#.##########.##.####.##..............#.#.#.#.##..##.#...###.##.###.#####.......##.##..##..##....####.#.##.#....##.#.##.##.#..#......##.##.......##########..#....##....########..#.###.##.#####.#.##.##.#.#.#.#####..#.####..#######..###
#..###....#...#####...####.##....###...##.#.#.........########.#########.#.....##.........##.....####..###..#....#.#.#....##..#.#.#.##...##.#....#.#.###.####.#...#####.########.##.##....##.#.##....##...#####.##.....###...####.##.#######...###..######.##.##..##.######.###.#..#..#.#.##..##.#.#.##.##.##.#.#..##.#.###.####..##.......#####.##....#.#.##.#.#.#.##.#.#######..##..##.##.##.##..###..##.....##.#.###.###.......###.########..##....#..##...##...######.##...##.....##.#...###.#.#######.#.####.######..####..##.##.##....#.#...#.##...##..#.#..#.#.##.####..##........###.##.#..#.#...###.##.#.###.#...........##.##.###....#.#.##..####..##.##.##....##.####.#....#.####....###...#.##...#####.#.#.#.##.#.###.#.#.#..##....#.###....#...#.....#.###.####..##..##..#.#.#############.#..#.#..#..###.##.######..##.#.#######.#.###..##.#.##..##.......##.##.#...##..........#.##.........#.#.####.#..##.##..##...#
#.##...##.#.#.#.#.##.##....##.##..##.#..#########.#.#.#........#.##.####.#####....#.#.##.####.#.##.###.#...##.#.####.###.####...#.###..####.#.##.#....##.#.#..#.#..##.###.##.##......#.#.##..#..##.####.#..##.###..#.#...###....#.##...##.###.##...###.....##....#####..#...#.....##.####..##..###.####.#####.#.##.#..###...#.#######.#.#.##........#.####.##.#####.##.#.......##..####..#..##..#.####.##..##.##..#..##..##.#.#.#######.#..####.###.#.######.###.#.....######.####.#.###.###.#.........##..#..##.......##....#.###.....#.##.#.##.##.#..#..#.##.#.##.#.##....##.###.#.#####.###....####.#..##..#.....#.##.#.#.#.##....##...#.######..##....#.##......###.##.....###.##.####...#.##.##.####..#.....#.###.######.....###.#.##..#.##..##.#.##.#####.#.#...####.####..##..####......#......###.########...#..#......#.###.#...##........#####.#..##.##.#.#.#.#.......#..#.#.####.#......#.##.####.....##.#.##...#.##..#.#
######.##.#.###......#####.##.###.##.####..#......#.#####.##.#.............####.#.######..#.#.#.##.......#.##.#.#.####...#.##.########....#.#..###.#.#####...##.##.#...##.......###.########.#######....##......####.#.#.####.###..##.##.......##.##.####.####.#.#..###...#.###.#..###.#####..##......#.#.#.######.##..####.......##..#####..###.##.#....###....##..#..##.########...###.##.##.##.#..#..##.##..##.##.##.#######......#....##......#.#####.#....#.##.####.#.##....#.###.....#.#.##.#.####..##.#####.#########.###.##.#.##..#.#.#..####.##.##.##.###..#..##.###...####.......####.####...##..##.##.#.##.##.#.#.#######..#.###.#.#.######.#.####..#######...##.#.######.....##.##..........#.##.##.##..##..#.##..##.####.#########..###.#..#..#.##.#.#.#####.....##..##....##.#.#...##########.####.#.#.##.#.#.##.###...#.#....##########.###.#####..#.#.####.#.#.##.####...##.#.###########....##.##.......#...#######
#......#..#.#...##.#.#......#.#...##..#.##.#####.#####.....####.#.########......#......##.#...#.#..##.#.##.##.###.#.#..#...##...##.....######.##...#....###.###.####.#....#.#.#...#.#........##.#.########.#.#.##....#.###.....##.##..#####.##.##.....##..####.####.....#.#..##.##......##...##..#.##.#.......##....##...##.#.##.####.....####...##.#.#######.#####.##..#.......##.###...##..#.#....##.##...#.######.##.....###.##.#...#.#####.####.......###.##.##.........##.###...##.#.##.#.##.#..####..###.............#####.##.#..##.#.#.##...##..#.##.#...###.#.##....###...##.##.##...##..##..####.###..#.####..###.#...#..###............##..#.#.#.###....###..######.##..###.####...##.##.#.#############.####....##.##.##....#.#....##...#.#.###....#.#.#.......##.##..####.#.##.#.#.#.....#.......#...###..#.###.##...###.#.##.#....#.#.#.#.##......######....#.#.##########.#####..##....#.#..##..###..#.#.#.###.......#
##.##.###.#####.#..#.#.#.#.##.#.###..##...........##.###.#..#.########.....#.#.###.#.#..###.#####.##..#.#..####...#...##.#..#.#####.##......###..#.#.#.##.....###.##.##.#.#.#.##.##.#.##.##.##....#.#......#.#..####.####..#.####..#.##.#...##.#..#.#.###..##..##.#.#.#.#.##.#..##.###.###.#.##.##..#.#.###.#.####.####.###.#.##.#.#..#.###.##.###..#..#.#.#.....##.##.###.#.#.##....###.###.#.##.#..#.##.#.#..#.#.####.#.#...#..#.#.#.#....##...##.##.##.###..#.##.#.#.###.##..###.##..#..#.#.#####....##...##.#.##.####.###.....#.##..#.######.###..##.##.###...#.#..##.#...#.#..#.##.########..#.####..##..##..##..##...#.#...##...#.##.##.##....##.#.....#.#.##.##...#.#...##...######.###..##.#..#####.#.##.#################..##.....#.####.####.##..#.##.#.#.###.########.#.####..###.#.##.##...#.#.#...######.#...########.#.######.##..........##.#.#.....#########....##.#........##....##.....####.....######..##.###.#.#
########...##...#.####.#.#.####.#...####.#.#.#.#.###.###.####.##.#.....###.#.#.##..####...####.....##.####...##.#...####.##.#####....##.#.#####.##.#.#.##.#.#####..###..#######...###.#..##..####.....#.#.##.#.###....##..##.##...##.#....###..##.#####...####.#....#.#.#.#..#.##....###...#.#...#.##.#...#.#....#####....###..###...####.......##.###.....###.####.##...#.#.#.#..##...#..##.#.##.#.##.##.####......#.###.##.##.#########.#..##.##...#.#....#.##.#..#.#...#####..######.######...##..##.##.###..###....####...#.###.##.##...###....#.##..#..##..######.##.#.###.#.##..#........##.#.#....##..###.####.####.#.#.#..#####..#..#..#.########.######.#...#.###...#....#..#...#...##.##.##...#.#.#.....#.##.#.##.....###.##.#.#.###.##...##..#.############........##......##.#...#.##.########.#.#......#.#.#####............####..#.#.##.#.##.###.###.......##..##....###.######..#.###.#.#....#.#.#...#.###.##...#####
#........#.##.#####....###...##.##.##....#.#.######.......##..##.###.#.##..###..##....#.###....#.#..###....#..###.#####..##.....###.##..#..##...####.#.##.###...##.##..####.....#...####..##.###..#.###.#.#..###...#.##..##..#..#.##.###.##...##....###.#.##...##.#.###.#.##.#####.#..######.#.#.###..##.##.#.#####.#..#.#####.#...#....#####.#..#..##.#.#.##...##...###.#.#.#.#.####.##.##..#.#..#..#.##.##...#.#.##..####...#...#.#.#.######...###.#.##.#.#..#.#.##.###....###......#...#.#..########.##.######...##...#..###..##.##..#.#.#...#.#########..##.....##..#.#..##.#.###.##.###.#########.#.##.##....##.....#.#.####....##.##.##.##.......##.....##...#.#..##.#.###.###...#####.####..##.#.......#####.......##.####.#.##.#.#..#..##.#####.#..........#.#.#.####..##.#.########.###....#....###.###.##.###..##.########.###....##.###..#####..##...######.#..#.####.####..#....#.##...#####.##.#.###.###..##########.##
######.#.#..###.....##...##.###########.#######.#...####.####........#..##..##.##..#.#######.#.#.#.#######.####...###.##.##.###.##..###.##..###.#....#.#..##..#.....##.##...#.###.#####..#####.##.#######.##...##.##..##..##.#.##.######.#..#.#..#.##...#..#####..#...#.#.#......#.##..#.###.###...#####..#.#.##......##.....#####.#.#.##.....#.##.##..#.#..#.#..#.#.#######.#.#.#.....#.##.#####.#.##..#..##.####....##..##.##.#..........###.#.#.#.#..###.#.##.#.#...##.####.#.###.##.###.##....###.#.##....#####.##.###.########.#######.##.##.#...##....###.#.###..##.#.###.#..##..#.#.......#.##..#.#...##.#..#.#.#.#.#.##...#####..#########.#.#####.#.#####.#.#.#####..##...##.###.##...###..#.#.#####.......#.###.......#.###..#.##.#.######.#####.#######...###...######.#...#.#......##.#...#############...##.......##......#.##.##..##.###..##..#.#..##..#########.#....##...##.#########.#######...#..##.##.#.........#
#.####.#.#.##...#######.##....###.##....#.........#.##....#.##.###.#.##.##.##..###.#..##.....###.#.##.........#.###......##..##..#.##...######..###.##.##########.#.....###.#..##.....#####........##.....##.###..###.##.###.#.##..##....#.##.##.###..###.#######.##.##.####.#.#.#..##.....###...###.....##.#.###.#.#.##.#######...#.#..#####.#..####.##.##.#.######.......#.#.#.#.#.#.#.##.##....#.###.##.##..##..##....##..##.#.####.###...#.#...####..##.#..#.#.#.#..#...##.....######......##.....#.##.#.##......#............#.....########....#.#..#.##...####..###.#...#.#.##..##.#.#.#.#....##.#.#.#..########.###.#..##.###..#####.###.######.##################.###.##.#.##......#.###.##.###.....#.##.#.##...#.##.####..##.##.##.....###....#.#.......#.###...#....#.###.#...###.##.##.#.#.......##....########.#.#..##.#.###..#..#.###.....##..##.##....###..#.#.#.##.#.###.#######.###....##...###.##..#..#.#.####.#.##
#.#....#.#..#########.#..##.#...#..##.#.#########.#.####.##....##..#.####...##..##.##..##.##..##.#..###.#.#.#.#.#...#.#.####.##.######.##......##...##.##......#####.####...#.####.#.####.#####.#.##..#.#.##...##...#.##...#.#.##.##..#.##..###..####..##.#.......##..###....##########.##.##..#...#####.##.#..##.#.#.#.....##.###.#.#.##.....##..##..##.##.#......#.#.##.##.#.#.#.#.#.#.##..###.##..##.##..##.#..##..#.####.##.#....#.#####.#.#.#####..##..#.######.#.###.#####.#..#.####.#.#.##.#.#.#.##.#.##.#.#.###.#####.##.##.#.#.....##...##.###.##.####....##...###.###.#.##.#####.#.####.####.###.##.....#.##...###.##....#.####.........#.#...#.##..##.##.#...#..#######..############..#.#####.#.#.#######.###..#......##..##.##.#.#.....#.##...#.#####...##.#####....####.#######..#..############.######....#.#.##.#..#..##.##.##...##.####..##..#..####.#.##.....######...#...........####..#.#######...##......######
#...##.#.########.......##..#.#...##..#.#.........###....##.##..##.#..####.####..#.##.##..#..##..##.##..###.#######.###.##.#.##...##...####.######.#######.###..#....##...#.#...##.#.##.#.#.#...#.##.##.#.#..#####.##..#.#.#.#..#####.#..##..##.##.##.###.##.##.#.##.#######.##.#.#.##..##.##.##.#..##....###.##..######.##.##.....#.#..##.##.##.##..##..####.#.#.##.#..####.#.###.###.#.##.##...#####..##.######.############..##.#.#.....###.#.....######.#....##..#...###.#...##.....######.##.###.#..#.######.#.##..#############.#.#.#####.##..#...##...###.###..#...#.###.#.##.##....#..#.#..##..##...##.##....#.#..##..#.##........####.##.#.#.###..##.......#.###.##.##.###.........#....##....##.#.#.......#...##.####.#..########.#.#.###.###..#.###..##.#..#.....##.#...##.......##.##..#.###.#...#.###....######..######.#####...#.###...####..##.##...........#.###.#.####...#.#.#.###.#....##......##.#.##.##.#.##.#.#
###.#..###......###.#.#..##.#.##.####.###.##.##.#.#...##..#.#..###.#.##....#.#..##..#.#..###.###..#####.#....#.#....###....#..##.##..###.#...##........#.######...##.####.####.#####.#........###.##.##.#.##....##..##.###.###.####...#.####..#.#.......#.#####.#.##.#..............###.##.##.#..#.##..##..##..##.###.....#.##.##.####.###.##.#..##.####..##..###.#####.###..#..##...######.##.#..#######..##.....#.##.#.##.#####..#.##.#.#######.##.....##.##.#######.#.....##.##..##.##..##...#####.##.#.#......#..##.........##..#.#.#..##....#.###.#####..##...##.#.#.#...#.#..#..#.##.##...##.##.##..#.##..##.######.###.###..#.#.##..#####........#.###.#######.###.#..#....##.####.###.##..#.#.##..#.#.#.#####.###....##.####.#.##.#####..#####..##..#..###.##.####.###.#.#.##.##.##..#.###.........###...#.####.########.##......##.##..###.##.#####..##.##.#.#.######......##..#.#.#.#..##...#.##..#.#.##..#.....#####....#
#...##.##..####.....#.#.##..#..#....#.###########.#.#..##.#.##...######.#.##...###.##.##.#....#######...###.##...#.##...#####..#.##.###....#.####.#.#.##..##....#.##..##.....#...###.##.####.##....#.#..#.###.###..######...##....#.#.#.####.#######.##.###.#...#..####.#.##.#.##.###...##..#.#.##.###.##.##..###.#...#.#.###..##....###....###.##..#####..##...#.....#...#.##.####.####....##.##......##.#######.#.............##.#.##.###...#.#..###.##########......##.##.##..##.##....###.#.#.....######.#.#.###.##.###.#.#....####.#.####.#.####..##....####.##..#.#.##.##.#.###.###..##.#######..##.#.##.##....###..#.....##.#####..##..##.#.#.####.................#.##.####...#######.#####.#.#####.#.##############..######..........##.....#.####...##...##..###...#.#.#.##.#...####.#...#.#######.#.###..##...#.##.#...##.#.#..#.##.##.#.......#####...###.#...#.##.##.#.###.#.#.######..##############.##.#.#....##.##.#
###.#####.##....#.#.#.#.#..##.###.#####...........#.##.#..#####.##..#...#.###.##.####..#####.##.###.###.#....##.##.##.#....##.########..#.##.#....#.#####.#####.####.####.#.###.##...##.#....###.#.#.##.#..##...##....#.##.#####.##.#.#..##..#.#.##...####....#.##.#..#.###..#.##.##..#..##.###..#..##..#..#.##...###.#.#...##..##.#...###.###..###..##.##..##.##.##.########...##.....#.##.##.#####.#..#..##.......##.#.##.#####..#.##..#..###.####....##.##...####.#.##.####..##...#.####...###.#.#.....##.#.###.###...######.##...##.#....#.#....##..##.#.#....#######.#...#.#...#..###.#......##..#####..#.####.##.####.##.###.##.###....#####.#.##.#.##.#.####.##.##.#.##....#.###.##..#.....###..######..............#####...#.######.#.########...##.######.###...##.##.#.#.#..#.#..######.######.#.........###.###..#.#.#########.#..#.##...#######...##.###..###.......#####.###.#.....###......###.#.#.######.######...###
##...##...#####.###.#.###.##...##.....#.#.####.#.##.#..##.##....###...#.#.#.........######...#......##..###.#####..##.#.#.##....##.....##.#..##.#.#.##..........##...##...#...#.#..#.#####.#..##.#.#.##.#.##..###..##...##..#.##..######.###.#.#.#..####.######..####....###.#.#...#.##.##..#...##.####.#.##..##.####.#.#.#..##.##.##.####...##.#.##..#.##.##..##.##.###...##.#.###.##.####.##.....###.##.#######.#.##.########.#.##..##...##......##.#..#....###.##.#.##...#######.#######.#...#.###.######.#.....##..#.....####..#..#.#.#.##.#.####..#####.#.##.......#.##.#####.###..##.###.#.####.##....##..##..#...###..#.##.......###.##.#####.......###...##########.##.#.######.##.##.########.....######.#.####.#####.##.##.#...######.....##.#######.#.###...#.#########.#.##.##...##...#.#......#.###.#......###.#.#.........###.##.##.#.........###....##...##########.##.#####.#.#...##.#####.......###.##.#####..#...#
#..#.##.###.#.....######...##.###.#########....#.##.##.#...#.#.##...#.########.######......#.#.####.###.##.....###.##.###.###.#..#####.##.##.####.#..##.#.#.#.#.##.#..###.##.#####.#..##...##..###.####.#.#..###..##..#..##....##..##......###.....###.#.######.##....#.##...####.##.##..######.##...##.#..#####.##...###.##..#.#..#...#.#.####...##.##....###.####...#..######..##..#.#....##.#.#####..#.####....#.##.###......#####.##.###..####..####...##.....####.#..#..###.#........####.##.#...####.###.#######.#.#.#..######.####.######..####....##.####.###.###.##...#.###.#####..##.#...##..##.#..#.####...#...#.##..##.##.#.#........####.#######..#......##.##....###.##.........##.#...##.####....#.########.#.#.#...#...###.#.#..#####..##..........#.###..##.##.####.##.##.###..#.....##.#########.##.###.#.....#######.##...#.#..#.#.#.#.#.##..#.##..#..................######.#.##.......#######...##.......######
##.#.##.##....#.###..#.#.###..##....##.#.#####.#.##..#####.#######.##.#.....##......#####.##.#.#.........###.#.#...##.##...##.##..##....###..#....#.##..#.#.#.#######.#...##..##...#########..##....##..#.#.##...####.#.##..#.###.##..##.###...#.#.##..#.........##.#.#.##.#.##....#.#..##.#.####..#.#..##...##...###...###..##.#.##.#...#..##..####.##.####......##.##.##.#.###.##.#####.#.##.#.....#.##..##..##.#.##...###.#####..#.##.....#####.##....#..#####....###.###.....##.##.#.###.######.#.......##...##....#.#.##...#..#...##..#.##..##....#.##..#....#.#####.####....#..##..#.#####.#.##.#####.##....##.##.#.###..##...#.#####.######.##.....#.##.########..##.##..##.#..##.####.#....######.##.#######....##.#.#...#...#.....#.##.....#####.########.########........######....#.###.#.##.....##...#.#....#...##.###.##.##########.####.###########..##.##.#.#.###.#####.#.#...####.##.###.#......#..#####.#.##..#####
#..#..######.##..###.......##..##.###.......#..#.######.#####.#.#..########....#.##.#.....##.######.#.#.###..#.###..###..#..#.##.######...#.##.##.#.###.###.#.#..###..#.#.##.##..#.##...#....##..#.##..##.#.##.#.#.####.#####.##...##.#..##..###.#..##...##.#.#.###.#.#.##.#.#..#.##.##.........##.####..#.#..##.##...####..##..#..####.###.###..#.####.#....##.###...........#####.#.#.#.#.##.##.##.####.##..##..#..#.#..#........##..##.#.###..#..##.#.##..#.#######.....##.##.##.######........####.###.##..#..##.#.#.#.##.###.##.#####...###.###.#.#..#####.#....##......##.#...####.......#.###.....##.#..####..##.######.##.#.#..##.....#..#.####.#....#.###.##.##.##..##......###...####.#####..#...#.###.##..##........###.###.###...##.######.......#...####..###..#.#.##.###.###.#####...######.#....#.#.##.#...###..........#.#.#.##...##....##.#.#.##.##...#.#.#.##......#.###.###.#..##..##.#.####...###..#.#..##.....#
##.##..#.#...#..##.##.#.#.##..##....#######...####..##....#.#.....##.#.##...#.##.########..###......#.#...##.#.#...#####.##.#.##..#.#...#####...#.#.#....####.##.....##.#.#..##.##.#..#...##.#..##..#.###.#.##.#....##......#####.##..##.###..####.#####.####.#.#...#.#..#.####.#.##..##.#.#.#.##..##...##.#######..#....##..##.##..##...##..##.##.##.###.##.#....####.#.##.###.##......#.###...#..#....#.#..####.####.#.##.#####.###.##..#.....######.#..##........##.#.###...####...#.##.####.#.#.....##..##.#######.###.#.......#....##.#...#...#.#.#.#####..##.#..#.######..#.#..##..#.#.###...#.#.######.###...##...#...#..#.#.##..##.##...##.#..#####.##..............##..#.##.##..#.......##.##.#.###.#.#.#..######.#####....##..##.###.......##.####...####.##.....##.######...........###......###.#.##.#.##.#.#...#.#.#.##.#.....#..#.#..##.#........##..##.####.####.####.#.......#.##.#..#####...####.....#####.####.#.#
#...##.#...#.##.#.....#.#..##..#.#.##.#####.#.##...##..##.....###.#.......###.##...##.....#######.#.#.##.##..#.###.#......#.#.#..##...#..#.#..#.#.####.#.#....####.#..###.##.##.#..#.###.##..##.##.##.##..#######.#####.#########.###..###...##....##......##.#.#.#.#.#######...#..##..#.###.#####.##.#.#......##..#####..##.#...##.##.####.###.........#######.#....###..#......##.#.###...##.##.###.######..##.....#.#........#...###..##.###......#.##..##.##.##..###.##..#....#.#........####.##.#.###.###.....##....#.##.##.#.#.#.###.##.####.#.###.##....##..#.##.....##.##.##.#####.#...#.#.#.#....##....#.#.##.#...#.#.######..##..###.##....###.#####.##.##.#############################.................##.####...####.#..##.##.....#.#####....##.#......##.##.##.......###.##.##.###...########.#############.#.#.#.#..#.#.#####.##########.#.#.##.#..#####.##..#.#...##.###.###....#.##...##..#....#.#.###.#......#####
#.#.##.#.#.######.##.####.####.#.#.##.......######....####.#.#######.#.#.##....##.##..###.#.......#.####..##.#.#...##.#.#.#.#.##.##.#.##...##.###.##...####.#.#.##.#.###..#..##.######...###.#..####..###....##......##.......##...###.#...#..#.##..####.###..#.#.#.#.....#.#.#.#.##..##.##.....##.##.###.########..##...######.##..#.....#.#...##.#.#.###.#....###.#####.##.#.#..#.#...#.#.#..##..####......##..#.#.###.##.#.##########.#...##.#########.##...#.##.##...##.####.##.###.##.#....#.##.#.#.#.#.#.##.#####.#####.####.###...#..#....#.#...#..##.#..##.#####.#.##..##.####.....#.#.###.#.#.#.#####.##.#..####.#######..###..##..##....##.....#.#.######..##..###.###.......#####.......###.#############..#..##.##.#####.##.##.#.###.......##.##.#.##.#....#######.###..####..##...#.#........#.##.##.#.#...#.###.###.####.............#.####.#..#.##...###..##.#.#.###..###...#.#.######.####.#.#.####.....###.##.##.##
#.#.##.#######.#####..##....##.#.########.#.##.#.#.#.##..#.####.##.#####.#..##.##.##.##...##.##.#.#....#.###.####.##..#.#.#.#.##..###.#..#..#.##..##.#.########....#...#.###..#.##.....#.#...##....##.#.#.########.###..#.#.#..##.##...##.##.##..##.#.....##.##.#.####.##...###.#####.##.##.#.####.##.##......##...##..#....##..######.####.#.#.##.#.#.#.#.####..####..##..#.#.##.#.#.#.#.#.##..##....##.##.####.#####....#.#.........######..#.....#.#.#.##.###..#.####.##....#.##..#####.###.####..###.....#.##..#.#....##....#####..#.#.#####.####.##.##..##.#......#######.##....#.#.#.#.#..########...##...###.#####.###.#.##...#.####.##.#.#######..........##....##.......#######.#...#.#.#...#.......#.###.##.##.#####....##.##.##.#.#########.#############.#..###.#########.#####..#####.##########.....#.##.##.##...##..###.#.#.#.#####......#.##.#####.##.#.##....#...##...#######....#####.#..#.#....#.#.#####..#.....#
#.#.#..##............####.#.####.##.......#.#......#####...#........#.#####.##.#####.##.#.#####.#.##.#.#.##.....#####.###.#.#..##...#.##.##.#####.######.##...####.#######...##.#..##.##.#.#.##.#.##..#.....##.......##.#.#.##.##.###.#####...#.#######.#.#######...##..###.##...##....######.###...#.#..#.#.###.####.##.##..##.#.##......#.#.#.####.#.#....####.#....##..####.#..###.###.#..##.##.#.##..##.#.....#..###.##.#.###.###...#.###.#.#.#.....#.##..##.##...##..##.###..##.....#######..##.#...#.######.##...##..##.###.#.######....##...##.##.##.######.######.##.#.##.####.#.#.#.##..##.#.#..#.##.#.##...#.#...#.......###..##...#.#.......####.#.##.###.##....##.######...#.#.#####.#.####.#.##...................#######...#.#....###..#......#.#...##.##...#.#.#...#.#.....##....##....#.#.##..#####.....##########...#.#.#.#..#######.#####...#.##......####.##.###..#..###.#####..#.##...##.###.####..##.##.####.##
#.#.##..####.##.###.##.####....#.#####.#.######.#.##.....#.########.....#.#.##.#.....##.###.#...#.#..#.#####.#.###.#...####.#.###.#.#.#####.#######.#.....##.##.#....##.####..#.##.##.#..######.#####.##.#.##..##.#.###.#.#..#.####.....###.###.##.#....###.......#..##.##..##.#..###.##...##...########.###.##..##...#...####..#....##.#.#.#.#...#######.#........##..##....#.##...#..##.#.###.##.#..##..#.##.##...##...####..##.##..###.#.###.#.#.########.##...#.#.#..##....#.####.##.........##..###.#......#####.###.###............##.#..##.##...#..###..............#.#.##....#.#.#.#..##......##.#..###.###.##...#...##.######.####.#####.###########.##.##...##.#.##......##.##....#.####....#######.#.########.#.#.#.#.....#.######.###.#.#########...###########.#.#.###...#.#.###.###..#.##....##.......#.#..#.####..#.#.#.#.####.....##....###.#...##.##.#....###....##.##......#####....##.##....#....##.....#..##...#
#.###..###.########......##.######.#...###.#....#.##.#.#.#.#........#.#......#.#.#.#.######.#.#.#.#.##....##.#.##....#...##.#...#.#.#.#.......##....###.#.........##....#.##.##.#...#.##.##........##.##.#####.##.#.#.###.#.####.########.#..##..#.#.##...#.####.##.###.###.#..#.##....###....###.##.##..##..###..##.##.#...##.###.#.##.###.#.#.#.....#.####.#.##.####..#.#.######.######.#...#..#.#.####.#.##.#..#..###..#######..##........####.#........######.###.#.#####.##.#.#...###.#.###..##.#...##.#######...#.###...#####.#######.##.##..##.###...####.##.###.##...#.##.#.#########..##.#.###..##..##...#.##.####.##..###..#..#.#....##...........#.##.##.#..##############.###.###....##.#......##.#.......####.#.#...########......#.....##.#.#...###.....###.#.#.#.#.#.#######.....##.#....##....#######.##........########...##.##.####.#.#.#.###..#.##.##.#####.##.####..##.#.....##.#..######.###.###..##.##.####.##
#.#######...........###.#######.#....#.#.....#.##.##.###.#.#.#.#.#.####.#.#.########.#.#......#.###.##.##.##.###..#.##.#..#.##.##.#.#####.##.###.##.....##.#.###.###.##.#.#..######.#.#...###.#.#.##..##....##.##.#....##.#..##.....###.#...##..##...##.###.#.....#.#....##.##.#.##.##.##..##........##.##..##...##..##.##.######..#.#....#.#.#.##.####....#.#..#....#.####....#.#.#.##.###.#.#.####..##..#..####.##...##....###..####.#.#.###.##.#.######.....##...###..##....#.#...#.#########.#######..#.......#.#.....#.#.....#.......#.##.##.##....#.#.#....##..##.##.###.##.#....###..#.#####...##..##.##.#.#.#....##..##.....#####.##.#.#..#######.######..#.##...##.####.#.#...##.....#.###.#.#.#######.#######.####.#.#..###.#.####.#...#.#........###.##.####.........#.#.......###.###..##.#.##.##......##..#.##.#.###.#....#.#..#.#..#..#.#...#...####..#.##.....#.##....#.##..#.#.#..#.#.###.###..##...#######..#.#...#
#...##....###.#####..##.#####.#.#.##.#.##.#.####..##...###.#########.#..#.#.....#.####.######.###...#...#.#..##..##.#######.##.####.#.....##...###..#.#.#######..##..##.#...##.##...###.####..###.###..##.#..####.#.#.##..#.##..#.#.......#..#######.#....#.#.##.##.#.##.##..###.#..#...##.###.##.##..#..##..##.####.##.#....##...##.###.####.#.#####.##.#...#.###.#.#..##..#.##.#.......##.#.###..##..#.#######..##.####.##...##...##.#.#..##..###......#.##.##..#..##.#####.#####.##.........#..##.....###.##.#.###.##.##.##.######.#.###.#...#..##.#####.##.#..#.##...#...###..#.####.##.......#.#####..#.#..######.#.###.###.#.##.#.#.#..####.#.##.##..#.##..#######.......#.....#.#..##.#####..#.#.......#..........#####.##........##..#.#.#.#.####.#..#...#......#.##.##.....#.#.#...#...##.##.#..#.##.#.##.##.##..###.......############...####.#.###....##.####.##.##.##.#.##..##.#####.##.#.....#.####..#...##.###...###.#
#.###..##.##..#####.##...##.......###########....###.###...##.#.#......##.##.####..............###.##.###.##.#..##.......##.##..##..###.#..#.######.###..##.....####..#.###..#.####...###....####...#.#####.##....#.###########.###.#.#.#.##.###.....##.#.#.#.#...#.#.##.###.###.##.###.#...##.##..#.#######..###.....###.#.####.###.##.....#.###.#.#.####.###..#######..##.####...#.##.##..#.....###.##.#.###...##..###..##.###..###..#.##..#.######.######..###.##.##.....#...#.###..#.###############...#..#.####..##.####....#.####...#.#.#.#.##..##.#..#####.#.######.#####.##.......##.##.###...##..#####...###..#.#....##.#........##..##........##....##.....##..#.#.#...###.#...#####.#.######.#.######.#.##.##.....#.#..##.##.####.###.#.#....#.##...#...###.##..#.###.#.########.#.#.##..#.##.####.#..#..#..#.############.#.#.###..#.###.##.#...##.###...##...###...#.#..#.###...######.##.#.##.##.##.#.#.....##.#.##..#
#..##.###..##.#......###.#..#.#.#..##...#####.#.##...#...#.#......#.##.##.##.######.##.###.#.#...#.##...#######.##.#.#.#.#..##.####.##..##.###........####..#.#.#.##.##.##..##......####..##.#....#.###.#...#..####...##.####...#...#####..#.#...##.###.########.##.#.#...##...#..#.#...##.##..###.#.....#.##...#.#.###...#.##...##..##.##.##.#.......#.#....##.......#.##.....##.##..#..##.#.###.##...#.#.....#.###.#...##....##.#.####..##........#......##...####.##.##.######.#...##.....##.#...####.######....##.##..####.#......###############..#.##..##.###....##..###.###..#.##.##..##...###.##.##.#.#.###.##.####.###..#.##.#######..##.##.##..#.##..####.####.#.#.#.#...#.##.###.##.#...#.##.#......###..############.##..##...##.###.#.##.#.###..#.#.#.#####..##..##.#.......####.#.###.#.##..##..#.###.##.#....................##.#####..#.#.#.##...##.##..#...########.###...#......#..###........#.#.#.###..#######.#
#.#####...##..##.#.#...#.#.##.#.#######.#.#...#####.####.#####.#.##..###...#.#......#..##..#.#.#.#.##.#####..##.#..#.###.#.##....####..##..#...#.#.#####.#.##.#.#.##.##.###.###.###....#####.##.###.###...#.#.##....#.....#.###.#.#.##....####.#.#..#......##.....#.###.#####.##.##.##.##..###...#.###.###.##.#.#.###...#.#..###..##.##.#...###.#####.#...##.##.#.##.##.##.#.#.##.##.#####..#..######.##.####.##..##.#.#.##.####......##.###.#.#########.#.#..#.##....#.##........#.#.##.###......#.#.........#.####..#..##..#.#.#.#.#####..######.#..##.##.##......#.####.....##..##..#####.##.########..#.#........####.....##.#.##...###...###.##..###############.#..#.#####.#.#..###........#....#.##.#.#..###..##...#.#.####..####.##....#.#..###...#.##.###.....#.######..#.#.#####.####.#...#..#.####.####..####.#.##.############.###..#....##.#.#..#.#.##..##.#.#..######....##.##.#.#.##.###..#.#.#.####.#.##..###.##...#
#.#.##..#.#####..#.#.#.#.#..########.##.....#.###.###.##.##....#.#######.#.####.###.##..##.#.#.#####...##.#.##..##.#..####..#.##....##.###.#.#.#.#####.#.####.#...#####.#...#...#...#.##.....##.###...###.###..#.##.#.#.#.....#.#.#..####.#.#..#.######.####..#.#.###....#.##.#######..#..##...######......##.#.#...##.##.#.##...##...#.#.#..##.#.......#..####.#.#######..#.#.#...#.....#.###....#.#.##.##...##.##..#.#..#....#####.##..##..#######.#######.####..#.##.#..###.#.####.##...#.#.#.##.#.#.##.#.##....#####....##.#.######....##.#.#..##..#.#######.##.#...###.##..#.####....##.#.......#.##...##.#.#.#..##..#.######.##.#...##.##.#####........##....##.##.#.#######.##.###.#.####.##.#.#..#.####...##....#........##.##....##.#.#.##...##.####....#.#.###......####.#....#.....#.#.#.#.####.##....##....#########.###.#.#.####..##.############.#####.##.####....#.###.#####..#.#.####...######...########......###.#
#.#.#..##.#.....##.#.######..##.........#.#####.#........#########.#.#...#..##..#....##.#..#####.....#.#....#..######....##.#..#.#######...#####.#............#.#.....#.##.####.##.####..#.#.#..#...#..##...##.###..###.##.#.##.#.#.##......#.####.........######..#####....#...##....###..#.#...##...###.##..####.##..##.###..#.###.##.#.##.########.###.##....#...######.######.###.##.#.##..####...##..#.#.#...#.##.#.##.##.....#..##..##..............##...##.##.##.#.###..#.##...##.###.#.#..#######..#####.#...##..#.##..#....#.#.####......####......#.#..#..##.##.#.##.##..##..#.##..##.####.#.##.########.##..####....##..##.#.#..#.......###.###.####.#.##...###...#...#.#......#...#########.##...##.#..###.##.########...#.##..#####.##.####.#.#..#.####..###.######...##.###.#########.#.......##.####.##....................#.##......#.##.#...#...#.#..#.##...##.....#....##.##.#..#####.....##.#......##..#.######.#
#.#...#########.##.#.##.####..##.######.#.#.....##.####.##.#.##.#......#.#.####.#.#.######....####.#.#.####...##......##.##.#.##..###.#######.######.##.#.#.#.#.##.#.####...###.##.#.##.######.####.#####.###...###.######.#.##.#########.###.#....####.#.###.....##.....#.###.#####.##...##.###..#.#...#.###...##.##.##....#.##.#...####.#....##.......#.#..#.##.#..##.##....##...####..#..##....###.##.#######.##.#..#.##.###.#.###.##.##..#.#.#######.####.##..#..##.#...####.####.#....#.###.###.#.#..###..#.#.#.##.##.##.##.#.##.#.##.#.#.##....##.#.###.#####.#####....#..#.##..##..##.##...####..#........#.#..##....#.####.##.#.#.##.##.#.##....#####.#.######.##..#...######.##.####..###.#.####..#.##.#.##....#.......##.#.#####.##.##.#.....#...#.##....##...#....#.###..#.........#####.#.##.##.##....#.##.##.###.#.##.#.#.##......#.##....#...#####...####.#..#..#.##.###.####.##.##....##.##.#####.#.######.#...#..#.#
#.###.##...##...####.....##..##..#......###.###.#..##...##......##.##.##.#.#.####.#.##.....##.#....#####.##.#..#.#.#.#####..###..##.#...#.#.#.#.#....##.#.#.###..#.#...######....#....###.#....#.#....##....##.##.....##...#..#.###.........#.#######...#...##.#.####.#.##.#.#.##....######...#####.#.###..##.#.##..#.###.#.#.######....####.#.##.##.#.#####.####.##.....##.#.####..####.##.##.#.##...##..##......####.#.#....#.###.###...##.#.#......####.######.##.#..#.#...##.#....#.#.####...#...#.##.....##.#####..##..#.##.####........#..######..###.#..##.#...##..#.###.#..##..##.##..##.##.##.##.#.##.#####.##..##.#...##..#####..#.##.#####.#...#.#....#.#.#..#.##.#.##..##..#######...#....####.#.#..#..#.#.###.#########..#..#.....#.#.#.#.##.##..#.##.##.######....##.#######.####.#.#.#..#.##..#.##.#.##..#.#####..#.#.#..#####.##..#.####.###..###.########.#.########.....###..##.####..####.....#....##..###...##.#
#.########....#.#....######.###########.##..#.....####.####.#.#....#..##.#...#.####..##.##..#####.##........######.#.#..###...#####.#.#...........##.#..#####...####.#.#......#.###.#.#.....##.#...####..#.##..#..#.#.####.#.##.#...###.#.#.#####.##..###.#.##.#.##.###..#...#.##.##.#......#...#####...##.####.##.##.#.#.#####......##....#.#.##.####...##..##....##.#.##..#..######..###..####..#.#.##.##..##.#.##...#.##.#.####....##.##..#.##.#.#..........##..#.##.#.##.###.#.#.####...####...###....#.#.##.....#####.##.#.....##.#.#.###.#####.##.......###...#.#..####.####..#.##..##.###........###.##....##.##.##..#.#..##...##..##..#.##....#.#...#.##.......##.####....##..###.#..###...##....#####.##.####..##.#.##.#####...###.##.###.#.#..#..#.##.##.#..##.####.#.#....########.#...####.#####.#.#..#.#####.....#.##.#.##.....#..#.##....#.....##.####....##.#.#......##.#######..#....##....#####.########...##.##..#
###......##.#.######....##..##..#........########.##....##..#.##.#.##.##.#.###......#####..##..#########.##.....##.#...##...#.##......#####.##.##.#..##.##....#.#.##.#####.##.###...#.#####.#..##.###...######.#.##.#....###.#..###.###.###.##.......######.####.##.##..##.#.#..#######.#.#.#.#...##..#..###.####..##.#.......###.#.###.#.####.#...###.#.##.####.#.#..#.##.###.#.##.#.#######....##.#.##.#####..#..##.##.##.#......##..#####.#.##.####.#.##.######.#..#.###....#####.#..##.##.#..#...##.#.#.#####.##.####...#####.#....#######.......####.#.#...#.#.####........##.##.##.###.#...##.#.#..##..##.#.##.##..##.########.##..######..####.###.#....##########..###.######.......######..#.##..#..#.##.#.#..##........#..#.####..##..######.###.###...####.......######.#......##....#####..###.###.#.##.....##.#.##.##.#.###.####.##..#.##...######..##..#######...######..###...##.#.##.##.#.##.#.........######...##.#
##..####....###......#####.####...#.#.#.##.........###.##..##.#..#.##.####.####.#.#.##.#..####.#.#.#.....##.#.###..###..###.###..#.####.....##.##.##.##.###.#.#...##.##.#..#...##.#.#.##....##.#..##..#....#.#.#.#..##.#.##..#.####.#...#....####.##......#..##..##....##..#.#.##.......#.#.###.#####.##..#.....##..######.########.#.###.##...##.##.#.####..##..#.##.#..#######.........####.##..#.#.##..#.###.#.##..#...###.##.#..#####.####.##..#.########.#.##.#.##.##..####.......##.....##.######.#.#....##..###....####....##.#..###..##.#.##....###.#.#.#.#....##.###.###...####...#####.##.#.#.###.#######..#..##.......##..##.##.####.##.....##.##.#..##.#.##.####.#....##..#####..#.##########...##.#..#.##..##.###.#...#####.######....##....#.#####.##.#.#.#.#....#.###.##.#....######.##.......#####..#.#.##.#..#..###.#......#.#..##.##.#....#.##..##.##.##...####...##.....####.#..#..#.#....#.##.######.#####.##..#
#..##....##..####.##.##..#.#....#.###.#########.#.##....##.#..##.###...##....##.###.#....##..#.#.#.##.##.##.#...#####..##.....####.#####.####..##.##.##...###.#.#.##.#....###.###.#.#.##.##..#.##.###.######.#####.#######..##.##...#.#.###.#####.##.##.#.##..##..##.#..##.###..##.##.#.#.#...#....##..##...#.#..#.##...........##......#####.#####.......#.##..##.##.#.###.#.#..#.###.#....#..##.#####..##.#.#.#..#.##.#..#####.##..##......#..##.#.##.#.##....##.#.######....####.######.##########.#####.######..#####....####.##.##..#..##..#..######...#.######.#.#..##...####..##..###.....##.###.#.###.....####.#####.#######.##.......#####.#.#####..##..........###.########.....##........##.###.######.#.###.#....####.##.........##.#.###.#.####.#.###....###.##.#....##.#######........###.##.###..##########.#.##.######.#.#.#####..#.#####.#.#.##.##.....####......#######.##....####.##.##.#.###...####.....########
##..##.#.#..##....##....##.##.###.##..##........#.##.#.#########.#...#..##.#.##.##..###.####..........#...#.#.###.....####.#.##....#...####...#####..###.##...###.##.###.##.#...#####.#..##.##.####..........##.......#.###..###..#.#.#.#...#.....#..#######.####.##.##.##.##..###..###.#.##.###.#..##.###.####.##.##.#.#.#.##.#####.##..##.....######.##.#..##..#.##.#.........##...###.#.##.##......##.##.....####.#..##...#.#..##....##.#.##..#.........#.#######...##...##.#........##............##....###..#.##.....#.##.....#..##...####.#.#########.#...##...#.##..#.#...##.####...####.#####.........#.#.##...##.##....#.#...##.#.##..#.####.....#.##..##.#.#.#.#.#.##...#.#.#.#..####.######...######.#....##.##.####.####.###############..#...##.#...####.##...######.##......##.#.##.#...#..###.##..........#####.....##..#.###.##..##.....###.......##.##...###.###......##..##.#...##..#..#.#.#####......#####......#
##.########.#####.#..##..#######..#..##..######.########.##.###..###.##.#..#.##.###.#......##.###########.###...#.###.#.#..#..###.##.#......#.##....##...####..##..#...###....####.##.#.########.#..#.###.##.######.#.....#.##...####.#####.#.###.##.......#.#..###..##.##..##.##..##...###....#.##.#...##...####..##.#.#.#..####.....#.#########.#.##.##.#.##..##.##.#.###########.######..#.###.#####..#..#.#....#.##.#..#...#.####.######.###.##.########.....#####..###..#####.#.##.##.####.#.#.#####.#.....######.#.#######.#.#.####.##.##.#.........#.##.###.#.###..##.#.#..#....##.##........###.####.##.###..#.##....##...##.##..#..##....##..#.#.#..##..#.###.#.....#..###...#.##....#..####..#....##..##.#..###..#.#................##.#.#.##.#......####....#.#.##.######.####..#.###########........#.##.#.#.....#.#.#####.#.##...#####.###...##.###.###.####...#...############..##.#############...##.###...#...#.#.##
#..##.......#.....#.####..##.#.#.##.###.###.......##..#.......##.##...####.#..#..##.##.#####..#########....##.#.#.##....#.###...#.##.######.#..##.#.##.###....##..##.########......####.#.#......##.#...#.##.#......##.####..###.##....#.#..########.##.######.##...##..#..##...##.#..#.#...#.##..####.###.#...########.####....####.#####.............##.#..##.##..#.#..##......##.....###.#.#.......#####.#.#.##.#.##.##.###.###........####.#..#.#####....#####.####.###.##.....#.##.##.########....##.##.#.##.#.####...##....###...##.....#.#.##.########....#.#.##..##..#.#####.###...####.#.#...########...#####.##.#.##..#..########.#########.#.#.#.####.#...#.#.#.#...##.#######..##.##....#.#######..######..###.....####.#.#########....#.##.#.#.#.##.#..##.#.#......###.....##.#..........#####.#.#####..#.#.#######..#.#..#....###.##....#.#.##...#........##.##.#...##.......##.##..........#.##.#.##...#.#...########
#.#######.#.#.###.###..##.#....######...#.###.#.#.###...#.###.##.#..#..##..#.########...##...##.........##.####.######.##...#.#.#..###......#.###.#.#..##..#.####.##.##.......#.##..##....######....#.###.##.##.#.###.....####.#..###.##...###...#....#....##.....#.##.###.####.##.#.##.###.#.###...##...#.##.##...#.#..##.#.####........#####.#####.#..#.#.##...#######....#.##.######..#######.#.######...#.#.##.#.#...####...###.##.##......##.#.......#.####.#.#..#.#...#####.####...#.....####.##.#..##.#.##.#.#.###.####.#...#.#..#.##.##.###....#.#..##.#.#.#.##.######.....###.###.##...#.###.......######.###.#..###..###..#.#..##........##.#.###.#.#..#.#####.#.#.#..........##..#.#..##.....###.##....#.##..###.##...######.#.#.#.#.######..#####....##.########.##.#.####.#####.#.#.####....##.#.....##.###.......##...##.##.#......##.#.#####..#.##.#.#.#..#..#.#.#..##.##.####.#..#.###.##......###..#.#.#.#..#.#.#.#
#.#.#.....######...##.#####.##..#.#######.#...#.###...#####......##.#.####.#######.#..###..#.###.####.###...##...##.....#.#.#.#.#.##...##.#.###...###.####.#..##..#...#.#.##.##..#.##..##.#......#.##...#..####.#.###.#.####...####....#####.###...#.##.######.####.##.##..#.#..##.###..##..#...#.#.##.#.#.#.....###.#####......####.#############...##.#.#.##.#.....#.##.#.######....##...#...#.#....#.###.###.##.#.#.#.##.#.#...###...##.#.######.#.#####....#.#...##.#.#..##.....##.#.##.##..#.####.#.###.#.........##.#....#.#.###.##..#..#...##.#.#.#.#####.###.##..##....##.##........###.#####.#.#.#..#.##....#.##...##...##.....##..#.#.#######...#.#.##.#....##.#.#######.#################.#.##.#....##....####.######.#.#.##..........######.....#.##.##......###.##....###.....#####....##.#..####.####...##.########.#..####.###########.###...####..######.##.#.#.##....####..######...#####.#.#...##.###.#.##.....#.#
#.#.########.....#......##...##...........##.##...###.##.###.##.###.#.##.....##......##...####.#.#....#...#.##.#######.############..######..##.#..##.#.#..#.##..##.#.#####..##.##.##.##..###.##.#.#..####.##...###.#.#..#.###..#####.####.......#.####....#.#.#.....#..####...########.######.####..###.#.#.#.####....#...#.#.##.#.....##.........#..#######..###.###....#..#.....#######...###.#.##.#..#...##.##.########...#.#.####.#####......#.#.....####.....######.#.######.###.#.##..##......#####...#.###.#.########.##.#...#..##.##.##.##..#.........#..##..##..###.#######.##.##.##...##...######...###.########.##.###..#.#.#..####.......#.#.#....###.#.#####..#....#.......###.#.....#.####...#.##..##..###.##.###........##########.#.###.####..#.#..###.##...###.#...##.#####.###.#.##.######.....##.##.......#.####.#......##......#...###...###......#.##.#.#.##.##...###.###....#.....#.##########...#.##.###.#.#
#.#...####.####.##.##.###..#.####.#.#.#.#....##.###.###...##..###.#.######.#######.#..##.##......##.#.#.#.######..........##.#..##..##..#...##..#.##....##.#..##.#..#.##.###..#.##.##..##.#....###.##...##.##.#.##....##.....##........#.#######.#....#.####.####.#.###.##...#..#.##.....##....#..##..##.#.#.#....####...#.#.###..##.####..#.#####.##.##.#.##.##.....####.##...###......##.#...#.#.#####...#.#..##..#.#.....#.#.###.##.....##.#.######.##.#####.######.##.#.##.#.....#.#..##..#########..###.#.#####....##.....###.#.#.###.####...##.##.#.#.#####..##.##.##......#.##..######..######......#.#.........##....#.##..##.#.##..##..#.#######.#.##.##..###.####...##.#.#######.....########...#######..##..........#.######................#...#####.#.##....###..##.##.##..........###########.##.#####.##.#.#.#...##.####.#.#....##.#.#.#...#.#...#.##.######.#.#.##.######.#.#.###.##.###.#.##.#...#######.##..##...#
#.###...........##..#...##.###.##########.#.##..#....#..#....####....##.....##.....##..######.#.#########.....###.#.#.#.#......##..####...#..##.#.#..#.##..##..####.####.....#####.#..##..##.#..##.##.###...#######.#.##.#.#.#..####.#...##......##.###...#...##..#..##..##.##.##..#.###..##.#...######..#.####.#....##.##.######.......########...##.......#.##.#.####...#..############..###.#.#.#.#...#.###.####.#...#.#.#.#####....########...##....#.....#......#.#######...##.##.##..##......#..#.##.###.....#########.#...#.#.###.#...####.##..#.#.#....#########.#..#.#.##.###.....###.....##.#.#######.##.##.##..#.##..##.##.#.#..####.#.......###..#..##........##.##..#.........#.###.##.#.#.#.##.##.##.#..#.##.#####.....####.#.#.##############.##########.###..##..#######.##.#.####...###.....#...##...#.#.#.###......##.#.##.#..#.#.#.##.#####.##.#####.#.#####.##.............########..#.#....###.#..####..####.##
###...##.###.#.##..##.####.##....#.#...####..#####.#...##.##....#.#.#####.#..###.#.#..##......###.........#.#...###.#.#.#.###.##..######.###..###.#.##..##..#.##..###..##.##..##.####..##.##.##.##.#....##.###.#.#..#..#.###.##..#############.####.#####...#..##.##.##.##..##.###.....##.##.##.##....##.###....###.##..##.##.....##.#####.......####.#.##.####..#....##.###..........#.##..########.###.####...##..#.#.###.#.....####........###..####.#.##.###.###.#....##.###.##.##.#..####.#.###.##....##..###...#....##.#.#####.##..#.#....###..##.#.##.#...##.##.####.#.#.#...##.#.###.##.####..#.......#.####...##.#.##.########.##..##..#.##.##...##.######.#.##.##...##.##.###.######...#....#.###..#...####.#.############...###########.#.##......#.##....##.##..####.....##..##.#......###...##############.#.#...##.########.##.########.##.....###..#.##......#######.#.##.#.##.##.#.##.####...##.......##.###..#.#..#
###.#.##.###.###..##.....#######.....#...#..##.....##.###.##.##.###.##....#.##.######.##.#.##..####.#.#.###.#.####..#.#.#...#####.#.##.#.##..##...#.##.###.######.####....###.##...##.##..##.##..####.######.......##.##...#..##.#....###.###..#......####.###.#..#..#...#.#####...#.#.##.#..#..##.####...###.#..##.##.###..##.#.###.....##.#.##.##...#.##.#.#..###.###...##.#.#.#.##....##.....#.#.........#.#.##.########.#.#.#....##.#.###.##..#####.#.#####....#...####...##.##..####..#.#.#........#.####.#####...#.##..#...##.....####.##.###.##..#..#.#.#........##..#.#...#.##.#.#........###.#.#.#.###...##.#.#..#.##.......##.#..##..##..#.##.####...#.####.######.###.##..######.##.###.####..###...#.###..#...#......##..#...#.#.#...#....#.####......#######..##....#.#.##.##..#.##.###.#.###.#.###.##.#####.########.###....##.......##..#####...##......####.....##..######..#............#.#.##.#.#.#.....###.#.#.##
#.#.######.....######.#.##.......#######.#.###.#.#.##.##..#..##.##...#.#.##.#..........#####..##....###..##.#....######.#.#.....#.#......###..#.#.###..##....##...#.###.#..##....###..##.##..#..##.......##..####.###..##.###.#######.......##.##.#.#....###...##.##.###.#...####.##.#.########.......#.###...##.##.#..##..#####.##..#.#########..###.###....##...#.#...#..#######.##.###########...#.#.#.#####.##..###.....#.#.#.#.##..#...#.##.##...###...#.###.####..#.#.########..#.##...#.##.#.##.##...##...####.#####.##.#..##.##....#..#...#..##.#.##.#######.##..##.#.##.##########.##.#.##...#.#.#.####.###.###.##.##.#.#.#.##.##..##.#..##..#####..#...#.#.....##....#.###...##.#.#...........##.#.###...####.#...#.#.####.#.#.......#...##.....##.######....##.###.##.##########.###..........#..............#.......##.#.###.###.#.###..##.##..###.##.#.##....###.####.###...##.##.#.#.#.#####.#..#.#.#.#.#####.#.#....#
#...#......#.#...##...#.##.#####.####......#.#.#####..###.#.##...###.###..#.#.##.####.##.....########...##..#.####.#....#.##.##.#.#.####.#...##.#..##.####.#..###...#...#.##..##...##.##..##.#.##..#.#.#.#..###...##..##....###.#.....##.##.....###.#.##...#.#.#...#.###.##.##....#..#..#####...#####.#..##.#.##.##.##.###...###..##.#..##.#.#...##....##.##.###.####.#.##..#.#.#####..#.#.###.####.###.#.##.##.#..##...###.#.###.###..######.##....#...#.#....##....##......#.###.#.##....#.#..#.#.#...#.#.##.#....#.#.##...#.#.###..#.#.######.#####..#.#####.#######.###.#.#....#.##.....#..#####.##.###....#...#.##...###..#.###.##.######.#.####.##..##.##.##...#.#..##.###..##.#........##.##.#####......#.#.#..###.#####..##..#.#####.####.####.#.##....##.###.##....#.##..........###...#.########.########.######.####........#...#.#...#.###....######..#######...#..##......###..##.#.#.#.....###.##.#.#.#....##.####.###
##.###.#.#.###.######.####.#...###....#.##.#.#.##.#..##...#.#..###....##.######....##..#######.##.#...###..##...##.###.#####.########....###.####.###..##..#.##...#...#.#..##.##.###...#.#####.###.#.#.#.#####..#..##..#######....#.#.#..##.#.#.##..#.##.#####.##.####....###..####.#####.#.#.#.....#.#.###.#..####.#..#...###...##..#.##......#..#.#.##...#..##.#.##.#..##.........####.#.......##.##..#....##.#.##..###...#..##...##......#..###.###.##.########.###..##.#...#.#.#..#.##.#.#.##.####.##.#.#..###.##....#.#.#.#.#...##.#...##.###...####.#.##......#.#.##..#.##.#....####.###....##.##..##.#.##.#.#..##.##...##...#..#......#.#.##......##########.#####..#..##.##..#.###.#.###.#..#####.##########.##.......##..##.#....##....#....############..##..#########.#.#.#.########.#............#.#.####.###....###.##.####.###.##.##.##..#.###.#######....##.##.##..#.##.####.########.#.#####..###.####.#....###....#
####...#.#######.......#.#####..##.####.##...###....##..#.####...#.##.##...#.###.###..##...##.......#..###.##.#....###..##.#.#.#..###.#.##....###.#...###.##.######.#.#.####...#...##.##...##....#####.#.#.....##.####..##.#.####.#####.#######..##.#..#####...#.....##.#.##..###.....##......#.###.###...####.##.####.###...###.#####.#######.#.##.#..###.#####.#....#.###.###.######.....##.####...##.##.###..####.##...#.#.###.#..########.##.....###......#.#######..#.#.#.....##.#.#..#.#..#..##...######..######.#####.###.#.#..###.#......#.#####.....#.##.###.#..##.#.####.######....#.#.##..###.##.#..######.##..##.###.####.#.#.######.##.#.##..#.....#.#....##.##.###..##.#...#.#...#.##.........###.#.##.###.##.#.#####..#.#####.##.#.####..#.#.#.#.#.###.##.....##..###.#####..##..##.#.#.#.#.#.......##.#.##.#...###....##...###########.#.#.#.#.###...#.##...#.#..##.####.##.......##.#.....#####..###..##.#...##.#.#
#....#.#.##......#.##.##..#.###....#....##.#..###.#..#.#####.#.#####..##.#.#.....##..#####....#.#.####..##.##.##.#...#.##........##...#..####.#.#.###.#.###...##....###...###.###.##...###..####.#.....#####.###.....##.##........##.....##.....##..##.....#######.###..###..##...##.#####.#.##...#..##.####........######.###.....##..#.......######.##.......#.###.####.....#..#.#...##.############..##.######.....###.#.#...#.##......#.######.#...#.##.###......##.##.#.##.##..#.#.#.##.#.#####..#......##......#..#.##...###.#.#######.##.##.###...#.#....#.....#.##..#...##.##.#.##.#########...#..#.##.....##.#..##....#...##.#.#.....##.########...#.###.#######..#.##..##..#.###.##.#####.#######.#.#.#.....##.######.#.####.....######.##.##.#.#.#.#........#.#######.#######...####..#.###.#.#.#.#.###.......#.#.#...##.###..####..##...##.#...........#######.##.##.##...##..###.#.#.##.##.####...##...#.###.##.##..#.#
##.###.#..######.####..##.....##.#####.##..#.##...#.####.##.......###..#.#####.#..##..##...####.####.#.##..##.##.#.#.#.##.#.##.#..##.##.#####...#..##.#..##.#.####.####.###.....######.#...##.######.####.....###.##..#####.#.##.#####.#..##.#.####.###.#.##.##.....##.####.###.#.#..##.##.###..#.#####....##.#.#####........##.##..##.#.##.##...#.#..#..#.#.###.##..#.###.#.#####...######......##....##.....##..#.#.##..#.#.#####..#.##.....#.##.#.######.....###.##..##.####..##.########.#.....##.##.#.#####.######....#.#..##.#.......#.##......##.##.##.###.#.#.#..####.#.#.......##......##...#.#.##.##.#####..#.#####.##.###..#.##.#.##....##.....#.###.#.#####.#.##..##..#.##...#.##..##.........#.#.....#.#..#............##.#.##########...#.........#.##.#........##.#.###.#.###..#.##...###.#.###...##.###.##.#.#.#.##...##....#.###.###..#.##.##.#.#.......#..###...###....###########.#.....##.#####.###.#.##.##.##.#
#..###.#.##......##...#######....##....##.##.##.###...##....###.#.#...##.##.####.###.#######.....##.....##.##.#..#.#.#.#..#..###.##...###.....####.#####....#..###.#.....####.#......#####......#.####....#.#..##..#.##.....#..####.#..#.#####.##....##.#.....####.###.#....#...#.#.##.....##..##..##...##.#..#.....##.##.#.##..##.##..#.#..#..#...##.#.##.#..##.#..##.....#.......###......##########..##.##.###.#.#.##.####.#..##.######.#.##.#..#...###..#.#...#..#####.##...###.....##...##.#.##...#.###.#.#......##.#.#.####..#.#.##.##..##.##.##..##..#...#.#.#.#.###...#####.#.###..#############..###....######..##...#########.##.#######..#####.#.###.#.......#.#####..##..##.##..#.#####.#.#.###...#.#####.###.#.#.#.###..#.#...#.##..#..#...#.##.####..#.#.#.#.#######...#.#.#.##.#.####..####.##..###....######.#.#.##.#######.........##.#.##################.#####...##.#.....#.....####.##.......##.....#.#..##..#.#
####.#.###..##.#..##.###......#.######.##.##.##...##.####.###...####.##..#.......#...##......#.###..#.#.##.#..#.##.#####.###...###..#######.#..##..#.#.###.##.##.####.#.##....#.##.####....######......##.#.#.##..##.#####.######.#.##.#.#......###.##..#.#.#.##.....###.#.###.##.#..#####.#..####..##.###.##.##.#.######.#####.##..#.########.#############.######..##.####.###.#...#.######....#.#...########...###..###.#....###.#.#.#..#....##.#.#...##.#.#.#.##.....#.#..#...##.####..#.##.#..##.##..##.....##.#..#.################.#####..##..##..#.##.###.#.#.#...#.#..##...######.....##.###.###...##.#...#.##.#####.......###.##...#.##..###....###.#.#.###.###...####..##.##.##.####..#..#.#..##.#.####.############...#.####.###.###.#.####.####....#.#############.#..###.#......#..####..#################.#######..#...#.###.#####.###..#..###.#.#.........#.....##.###.###.#...###...##..##.########.#######..#.####
####.....####..#####.#...##.###...##...##.######.######.#.###.#.##....##.###.#.#.##.#####.#.##.####.###.#..##.#..###.......##.##...##.#.....#.##..##........###...##..#..######..#####..##.....##.####.#..#.#..##.####.......##...#....#.##.#.###.#####.#.#.#..##.#.####.#.#...##.##.#.....#.##.##.##..##..##..###...##.....#.#.###.######.....###.#.#...##..#..##..##..#......#.#.#....#.#.##.###.###.#.###.###.##...##.....#.##.......##.###.##..#.######.#.#.#..#.########.##.##..##.####..#.#.###..##..##.##.####.##..#.#...#....##.......##.#####..##.##.#####.###.#.#.##..###...#.##.###.........######..#.###.#####....#####.#.#.##.#....##...##.#...........#######.#.##.###..#..#...###.##.#.##.##.#..#.....###......#.#####.##..............#....#.############.#...#.##..##...#.#####....##...............##.....##...##.#.#.......###...#.###.........##.####.#.##.##....#...#.#.#...###.#..###.....#.##.....#.#.##....#
#..##.####....##.....#.#.######.#####.###...##.#.##.##....#...#.##.#.###.#...#.#.#..##....#..###.....#####.##.##...##.####..#..###....##.#.##.#..######.#.###...#....##.###.....###..#.####.####..##...##.#.#.###..######.#.#####.####.###..#.###.##.######.####..#....######.##..####.#.#.#.....#####..##..#.##...#..###.###.....###..#.#.###.........#..##...####..######.#.##.#.###.##........#.#...........######..####.##..##.#.#####...####.##......#.#.######......##..##..##..#..##..##.#.#...####.##.#....######.....#...##.###.#.#.##......#.##..##....##..##.###.#..##...#...##..###.##.#.#......#.##..#......##.#.....###...##.###.####.#####.#.##.#.##.......#...##...#.##.##.###......#######.####.###..#..######........##.#.#.#.##.####.######.#.###.#.#....###.##.###.######.##.##..##.#.#.#.#.##.#..#.########..#####.#.#.#...###.###.#.#.#.##.###....###..####.#.###.##.#.#.########...#.#.#...##.#.###.#.##.####
##.....###.##..###.#####.#......#.#.#.##..###....#.....##.#.#.#..###.#...##.####.########.##.##..#.#...#.#.#...##.######...##.#####.######.##.##.##.....#...########.##.#...#.#.....##..##.....##.#..#.##.#.#.#.#.##......#.#.#.........###.#..........##....#.####.#####.#.#.#####....###.#.#######...##..##..###.#.##...##..#.######...####..#.##.#.######.###..##.##.....#..#.#..##....########.####.#.########..##.#.....#.###.#.....#.#..#.#####.##.####....#####.#.####..#.####...####.########.#.#..##.#.##..##.#########.##...######.#..##.#.####.####.#####.#########.##.#.#.#..##..##..###.#.#.#.##..##.#.###.##..#.#.#...##.##....###..#.##.#..#.############.##.#..##.####..##...##.#.#.......#..###.######.##..###############.#.#.##....#..###......#......#####..##.##.....#....#####..###############.....#..##########.###.#.#..##.....#.###.####.##.#...##....#####.#..#.#.#......##..#.#########..#.....#.#.....#
###.#.##.###..###..#.....##.#.#.#.#.#.###.######.####.##..#.#.##.##..##.##...##..#........######.#.##.##...#.###..#.##.#.#.#####.....##.....#.#..####.#.#####.##.#...##.##.##.##.########..#.#######.#.####.#...######.##.#...##.####.#.#.#.##.###.#.#..##.#....##....#.#......##...##.#...#.##.##.##.##..###.###..#.##.#..##.#..##....#..#.##.###..#....##......##..##.##.##.#####.#####.....###.....###....#.#.##.#####.#.##...####.#.#####...###.###.....#.##.....#.####.#.##...##.###..#.....#.##...##..###..##..#.....###.#..###.#.#.##.##..#.#..##...##.....##.......#.#.##.#.###.##..##..##...###.#####..#....########.#.##########.#...##...##...##.....#......#.##.#.##.....#####.#..###.##.##.####........#......##.##.###......###.#..#.#.#####.##.###.#.####..##.##.#.....#.#...##..##.######..#..###...#.#.#...##.##.#.#.#..####.#.####.#.##...#.......####.####.#.......######.#.########.#...##.#####.#.##.#####.####
#...#......##.#.##.####.#########.....#......##..###...##.#.########.##..##.####.###.###.##.##.#.#..#..#.#.#...####......#.#.....##.####.#.##.##.#.####.####.......#.##.##.#..#....#....#.##...#.#.#.#..##..##.##......##.##.#####....#.#...#....###.##.##.###.####.###.##########.##..#.#.#.......#####.##.#.#...#######.##..#.####.#.##........##.########.#.#####..#.#..#..##........#.#####...###..##.##......#.#..####.##.#...##.#.##..#.###.....###.###..###.#.#..#.#.#.######......########....#####.#...####...#.#.....##...#......#.##.#####..##.##..######.#.#####.#..###.##...##..####..#...#..#..#.#######...##...#.......##...##.###.#####.##..##.##.###########..#.#.###...#.####...##.##....##.##.####.##.#...........########.##.#.#..##.#.#...##.#....##.........#####.##.##..###...#..##.#.##.#.###########...#.....##.#....#..#.#.#.##.#.###.#.####.#....###.#.#.#...#.####........#.#.#........######.#.#.######
#.#.#.#.#######....#.....#.#.#....#.#.###.##.###.#...#..###..##......##.###.##.####...####...#...##.#.####.###..##..##.#.#.#.###.##...####.####..#......#....####.##.##.#####.#.##...####.##.#.#.....##..####...##.###..###..#.####.#.###.###.##...#..####.##....####...###.........####.#.#.#.#.#.....#....#.#.#..##......##.#...###########.####..###....###..#.#..##.##.##.####.#.#.##.......#...##..###..######...##....##.#.###..#..##.......#####.....##...#.####.....#.....###.###........##.#...##..#.#.##...#######.#.#..#.##.#####.#.....##.##...##...##.#.#.......#.##...##.#####....##.#.#.##...##.#.####..#..##.###.##.#..######.##...##...#..##...........#.########.....#.####.#####...######..#####....###.#.#.#.##.###..##.####.#.##........#..###.#####.##.#.##....####...##.....#.#.##..............##..##.###.#########.#.##...#.#..#.###...####.#.#.############.#....###.##.##.##.#.#.#.##.####.##...........#
#.#.#.#....#.####.#####.##...########.##..##..####.########.##..#.##.##.##..#.......#.#....#...#.##.#..###.######..##..###.#.##..####...####.######.#.########....#..####.....#..#.#....#..######.#.##..##....#..#####.##...##.#.#######...##.##.#.##..#.###..####.####.....#.##.##..#####.###.####.#.##.#.####.#.#####.#.###.##.##..###........###.....##...##...#.########....##.#.#..##.#.#.##.#####...##........#######.##.#...##.#.##..##.##..######.#..#.###...##.##.##.##.##.....###.##.########..#.##.#..###...##.#########.##.##.#####.##..#####.#####....#.#.##.####..###.##..#.#..#.##..#.#####.##.........##.##...##.##.##....##..##.#..###.#.####.##########.#.###..##.#######.#.#.##..#......##.......####...#####.##.....##...#.###.##.#.####.##..#......#..######.#.##.####..##.#.##......################.##...........##..#.#..#####.##..####........###.##.##.#.##.##.#...############.###.##.......#########.###
#.###.#.#.##......#......#.#...........##..##..##...#.###...##.##.##.##.###.###.#########.####.#.##.####.......##.####...#####..##....#...##........###...###..#.###..##..##.##.##.##.#.#.##......#..##.#####.#####....####.#.....#......#.#..##.#####....#######.....#####.#.##..##.#..#..##.....#.#..#.#...####.##....#...#.##.##.##.###.##.#..##.##########..###.#.#..####.####.####.#..#.########.#######.#.#.#.##.#.#...#.#.#..###..#.##..###.....##.#.##...###..#.#..##..#.##.#.#..##..#####..######.##.##.##..#........##.####.....#.##...##....##...##..########.....##.##..###...##.#.#####...##..##.#.##.#.#######.##..##..##.#..####..##.#.#.#.##....................##....#.##.......#.##.#.#.##..#.#.#..#.###....####..#.#....#.....####.#....#####...#######..#...#.#.......##..#.######.##.##.##.#......#...##.####.##.##########.....#..##...##.#####.##............###########.##......#########.#.#.##.##...##...#
#...#.#.#.#####.#####.#.#####.##.##.##.##.########.##.....#..#.#...#..###.##########.#.####....#.##....###.#.#..#.##...#.##.#..##..##.###..##.#.#.#######.....##...##..##.##.##.#...#########.##.##.#####.##......##.#....#######...##.#.####.##..#.##.##.........#.####....###..######...##..##.#####.#.#####.....##.###.#####..##........##.#.##.....##.#####..##...##.......##.....#.##.#...........###.########.##.....#.#.###.###..##..##...#.##########..#...##.#.##..#.#####.#.#.###.####.#.##....#.#...#.#..###########...##..###....##.##########.####........#.#.#######.##.#.#.##.#...##..#..##..#.#.##.####.#.#...##.##.##..##....##..###...#.##.#.#.#.#.###.#.#.##.##.##....#.##########.#.#..####.#.##....#######.########.###.#.#####..##.#....####....#.#####.#######.##.###.##.....##.##.......#.######.#.##...#####...#..#.#.#####.#.##..###....#.#######.##.#.##..#..#....#..#..####.##...#.######.......#..#.#.#
#.#########.#####.....###.#.#.##.#...#.##.....##...#####.##.##.#####.####.###.#......#.#.##.#.##..#.#.##...####.#.####.#.#....##..##..###.##########...##.###.###.###.##..#..##.#.#..#.#.#..###..##.##.......##.####.#.#######....#.#..#.###...##....#..###.##.##.#.#..##.#..########.###..##.##...#.#.#.....##.#.#####.......##..###.#.##.#..#..##.##........#.##..###..#.#.#.####.######.#.#.###.#.#.........#.##.##.#.#.#.#.##....####..##..#.######....##########.#.##.##...##..###.#.#...........#.#####.#####.......##.#..#..##...##.###..#.....#.####.#..#.#.#.##.#.##....#.##...#..#.#.#..##.#.####.#.#.#..##...#.#.#..#..#..#.##..##..####...#.######.###.#...#.#.#..#.##.##.##..........##..#.##....#######.#.#.##....#.##.#.#..##.#.....##..#.#.##...##.##...#.#.#...#######..#.####.##.##...##.##.#.......##.####.###.##..###.##.#.....#######...####....#.#.#...###..##...##.####.##.##.####..#.......###.#.####.##.#.#
#..#.#......#.#########.......##.###.###..#.#..#.#.#..#..##..#.##....#....#.#.###.##........#..##.#.####.#..##..###....#.##.#..##.###...#.##.##..##..#....#....##.#...###.##..#.#.##.......##...##..#..#.#.#.##.#....###..#.#..##.#.##.#...#.#.####.###..#####..######.##.##......##......###.#..#...####.#####.#.#.#####.######.##...#.#..##.##.##..##.#.##.######...####.#.#...##....##..###...#.#.###.#####...##.##.###.#.####.##...###.##.##........##..........#.#.##..#.###..##.....###.#.##.#########...#####.######....##.###.#.##.####...###........##.###.######....#.##..###.#.##.#.#.##..#..##..###.##....###.#.##.####.######.######...#.#..##.##.##..#####.#.##.###...#..#.#.#.##.###..##.###.#....########....####....#.##.###########.##.#.#..#..#..###.......###.#.####......#.#######.##.##.#.#.######..##.......######.##...######..##..#....##.#.......##############..#.#.....#.#.#..##.#######.###....#..###.#
##...#.##.#.......##.########.##.#...#...##.#########.##..#.##.####.#####.#.#.#.###..#.##.#.#.###.###....#.######...#.#######.#####.##.#####..##....####.###.#.#####.##...#..##.###..#.##.##..#.##.###.###.#..#.##.#..###.....##..#.##.#.#.#####......##.....##...##.#.#..###.##.##..###.##...#.##.#####......#.###.#.#......##..#..#.#.#.###.##..#.#####.####....##.##....#.##.###.##.##.########.#..##....####..#.##.##..#.##....#.#.#.####.#..###.#####.###.#.####.#.#..##...##..##.##...###.##.###.#.#.##.##.##.......#.#.######..#.##...###.##...#.##.####.###....##..#.####..##...#.##.#.#.#####.####.##..##.##.....#.#...##...##.#.......###.#.##.....#####....##.#.##..######.##.#.###....#.##....#.#.##..##.#.###.#......##...##........##.###..###.##.##.#####.#.#.##.#.#....#.#.#.##..##.###..#.##.#.#........##..#####..##..#..###.##...#.#######.#.##.#####.#.###.###..###.#.##.#.###.......###......##..########...###
###.#####.##.##.#....#.#.#.#..##.#.#.#.#.##..##.#.#......##..#..##..##...........###.#.##.#.####...####.####..##..#.#.##.......##......#.#.#.#####.###....##.#..##...##.#.##.#...###.##########..###...##..#.##.####.##.#.#.#..##.#.#..#.#.....#####.##..#.#..###.##.....##...#...##.#....#.#.#.#..##..##.###.#.##......#.##..#####.#.###.##..#..##....##......#.##..#..#.##.##.##..##.##........###.####.#....######..###.####.#.####......#.##...#.....#...#.#....###.#.##..#.##.#####..#.###.##..........###..###.##.#...#......#######.#...#####.##.##..##....#.######.#....##.##.#.####.#.#....##...##..##.#...##.######.#..#.#....##.##.#.#...#.##.#.#...##..#.##..#..##....##...#.#...####.#..###.########..........#.##.###..###..########....##..####..##..#.######....#...##.###.#####.#....#.##.##.###.########..##########.##.##.#....###...#.#.###..#.....#.###.#.#.#.##.#.#.#......#####.###.##.###....##.###.########
#...#.#.#######.##.#.........###.#.###.#.#####....###.#.####.#.####.#####.#.#.##..#..#.####....#.#.#.......#.####.###########.####.#.###.....##.####...#.###.#.###.#..###.##.##.##....#.###.####..########.#..###.#.....###.#####.#.##.#.####.##......#########...##.###.#..###.#..#####.##.#.#.##....##....#####..#.##.#..#.####...#.#####..###.##.##.#..##.###..##.##.#.##.####..##..##.#.###########...########.##.##......#.#...####.######..#.#.#.#.##.##.###.##...#..##.#.##.....##.#...#..##.#.#.#.#...##.#.#.######.########.#...####.###..########..##.#.#..###...##.#..#.#..#..#.#.#.##.####.#.##.##..##.#######.##.#.##.#.##.##.##.#.###.#..###.#.#####.#..##.#.##..##..##.####.#...##.##..##..##.#.#..#.#.#.#.##.##.####...##..........##..##....##..##........#.##...############.#...####.##..#...#..........##.....##.#.....#...##.....#......##.##.##.##..............#.#...##.#.....####...#...##.#.#........#.##.#
###.#...##..##...#########.#...#.#.#...#....##.##.....#.##...########.#####.#####...##.#....#.##.###.#.###.....####....#####..##...#...##.##......#..###...#.#.##..#.##...##.##.##.#.##.#........##........##.##....##.##...##....######....####.##.#.........###.#..##..##.##..#.##.....##.#.#.#..######.#....##.##.#..##.#.#....#.###.....##...#..#####..########..##.#.##..###.#######.#...........###...........#.#..#.#.##.#.###.#.......##.#.#####..#..#..##########.##.#.##.###..#.##.###.##.#.###.#.#.##..........#........#...####.###.#.###.##.#..#####.##...#####..####.##.##...######.##...#.##..##.##..........##########...#.#..#.#...####...#...##..##..###..##..##.##..###.##.#####..####......#.##.#####..#.##....###..##.#####.#########.#..##..##.#.##.##.####.....##.......###....###..###.##.##.#####....#.#......#.#.#.############.##..#..#..#.###.#.#.##.####.....#..#.#.#.#......####.#####...#.#.##.#.##.#
#...###..##....#####.......#.#.#######.##.#.######.#.##..#.#.#..##.#........##....#.#####.###..#..##.#..###.####....##.......####.##.########.#.#...##...#.#.###..##..##.##...###..#....#######.#######.##..#######.##.###.##..##.#......#.##.....###.##.##.#..##.####..##...##.#.#..#.######.####.....##.#.#.##..##.##..###.##.#.#..###.#.##..#.##.....##.##.....##.##.###..##.......##..#.#.#######.##..##.##.#.###.####.#.##.#.#.....#.#.#.#..#..#.##.##.###.....##.#.###..#.##..##.#####...###..#..##.#.#####.##.#.####.##.#.#...#...#...............##.##.##.##.#..#.#..##########..#....#.#..##.####..##...##.##.##.#..#.#.....##.##.##.#.###....###.#######..#.#####..##.######...#.##.....#.##....##.###..#.....##########...#.#####.#######.##.####.######..#.####....##.##.###.#####...##.#####.##...##.##....##.######.##.###.###............#..#.##.##.##..##.#.#.##...##.##.##.##.#.######.#...##.....##.####.##......#
###...##..###.##...###.#.#.#.#....##...#..###.##...#.###.#.#.##..#.###.#.##..####.###.#.....##.##..#.##..##.###..#.###.##.##.#.....#####.#....#.#.#..#####.#.#...##..##..#..#.##..##.##..##.......##....##.##........#.#....##.##.#.#.##.######.#.##..#####.##..###....####.##..###.##....##.....##.##..#.#.#..##.##..##.##..##.#.##..####..##.######.###.....###.##..#.##..##..#.#.#..#.####.......#####.#####.#...#.#....###..#.#.##.##.#.####.##....#.##...#.#.####.#...##.#.##.###.##....#...#.##.#####..##...##.#....###..#.#.#.#.#...#.#.#.#.#.#.#.##.....#..####...##.......#.#..##.####.####.....#.##..#.#..########.....###.#..#####.######.#.#........###.#..#.##.###....#.#.#.#..##.#.####..##.##.####.##.##....###...#.#.####.##.#..##.........####.#.####....######...###.#...#####..#...#.######.##.##.#.###...#.#####..#######.######.##.#.##..#.#####.###.###..########...#..###......#.#.#.##.##.#####.#######.##.#
#...#####......###.....#.#.###.#.###.#.##.##...###.###...#.#..##.......#.##.##.....##...#.#.##..#.##.#..##....##.###...##.#..#.#.#..##.#.##.###.####....##.########.####.#.######.##.#..#####.#.#####.#.##.####.#.#.#####.#..###..#.#.#..##.##..#..##.....#.#..##...##.##....#########.#.####.####...##.#.###.##...#.#########..#..##....##.#....##...#####.#...#.##.######.##.##.#.##.#..##..##.########.#.#.####.##.#.##...####.#.#...#.#...##.###.#.#####.##.#.##.....####.####...######.###.##.##....##.###.#..#.##.#####.##.#.###.##.####.#####.#.#.##.######....#.#.#..#.##.##...###........##.#.#######.####.#.##..##.##.#######..##.......##.#####.##.#...####....#...##.#...###.##..#.#.#.###.##.#.....########.#...#.########........###.#####.#..#.#.#.#..#.##.....##.#.......###.######.#......##..#...#.#...###.......##..##..........########..####.#.###.....##..#.##....####..##.#.#.##.#.###..##..#.#...##.##...###
#.#..#.##.######...###.#.#.##..#...#.####.####.##...##.#.#.#.#####.##.##.#..##.#.#..##.##.#.#..#####.##.##.#.#######.###..##.###.#.##....####...#..###.###.##.........##.#.#.......####.##....#.##....#.##.#.#..###...#.#########.#.####.....##.##..##.#######..##.##...#.#.##.........#...##..##..#..###..##..##.##.##....#...#######.#.#..##.######....##.#.#.#.##..##....##.##.######.##..##...##..##.......########.#..#..#####.###.#.#.###...##.#..##.######....#.#....#..#.#.#.....##...#.##.##.##..#.##..##.#.#....#.########....#...##.....#.#.#.##....##..########.##..######...##.##.#.##..#..#.#....##.....#..##..##.......#.##..#.##.###.##....##.#######..##.##.##..##########.##.#.....#.#####.##........###.#....#.#.#.##.#.#.#.##......######...#.#.##.##.#####..#.###.#........#####.###########.##.#.#...###########....#.##.#########.#####.##.....##.#.####....##.#..#.##..#.###..#.#..#######.....#.....#.#.###
#.####.#..##.....#.#...###.#..########....#.......###..#.#.#.#..#..#..#####.####.#####.##.#.#.####.####..###...###....##.###.##..#..####......####.....##...##.##.#.#.##.#.#.###.#...##.#..#.##.#..#.##.#..#...##...#.#...........#.#####.#.###..##.##..##.#.##.##.#..#.###.#######.#.##.###..##..###...####..##..##.##.##...#..##.#...####.#...##.#..#.###.#.#.#.###.##.#.###..#.###.#...##..#.#....###.#.#.#..#.#.######.##....##..##.#.#..#######.#.###......##.#.#.#.#.###...#.#.#.#.##.###.#..##..#.######..#.#.##.#....#.##.####.##.###..#.#######..##.#####.......##.###...#.#..####..##########.#.##.#.###.##...####..####.##.#.#######....#.#..#.##........#.##...#.###..........#.##.#.#######.#....#.##.##.####.######.#.#....#####....####.##.##..###....#.##.....##.#...#.#.########...#.......####...#.#.#.#.##......#.###.##.##..#....##..#.###..##.#########.#..#.#####.##.#####...#######..#.##.##.########.#.#...#
#.##.....#######.#####.###.#.##.###.#..##.##.##.#.######.###.##...##.##...###.#....##..##.###...#...##..##...###...#.##..#....####.##....#.##.##...#.#..#.###..####.#.##.#.###...#.######.##.##.##.#..####.##.#####.####.##.##.#.##.#.#...#...#########.......#..####.#.##..#.......#.##...##.##.##.#.######.####.#...#####.###.##...#..######.###...#####..#####.#...##.#.##..##.#.....#..##.#.##.###.#####.####...#.##.#.##.##..#.###.#.##..#.##.###.....#######.#.#.#.#.#.##.##.###.#.##...###.##..##..##.#..##.#.#..##.###......##.#########.....####.#.....##.#.#.#.##...#.###.##....##..#....###..#..#####...###.################.....###.#.##.##.#..#.#.#.#.##.##.#.###.#.#.##.#####.##.#......##...#.#####.##..#.#...##.......#####.###.#..######.#..###..######..##.###.#.###.#..######..#########....#.#.#.#.#.#....##.#.....########...##..##...#.##.##.....##.##.#.##....#####....##.#.....####......##........###.###.#
#.#########......#.....#...#.#........##..####..#...##.....########...###.#...#.#.###.##..#...#...#..##.###.##...#.#..#.##.#.##....#..#.#####.####.###.##.##..##.#..#.#..######.##...##....###..#..#.##....#....###.##...##.#..######...#.##.####.#.....###.#.#.###...#.##.###.##.#.#.##.###...###.........#...##.#.####.#...##..###.##..##......#.#..##.#.###..####.##..#..#.###.#.#.###.##..#.#.......#.####..#.###.##...#...####...###..##......##..#.#...#.#.#########....#.#....#.#..##.##....##.###....##..#.#.#.##......##.#.##....#...##.#.#....#.##.#.##..###.#..##.##.....##.#.####...####.#####..#....#...#...##.##......###.#.###...###...####.#.###.#########.....#.###......#..####.###.##.#.#...#.#####...#####..#.#.#........#####....#.#.#.##.#.##.#####..#.#.###...#.##........#####.##.########.###.#.##.###..#.##.###.######.######..###.##....##.##.....#..##.#...#...#.##..#.#.#..#.####.####.#.########...###
###.######..#.#.###.#.###.####.###.#.####..######.######.###...###..#.#.....#...#...#####.###.#.#.#.###.#.#.##.#.#.##.#.##.#######.#.##.##....#....###..#.##.##....##.##.##...####.#..##.#...##.##.#..##.#.##.###...##.#..###.##......#.#.##.#....#####...########..#.#..#.##..#..#.#.#..#######...#.#.#.###.#.####.##...##.####...####.######.######....#.....###.#####.#.##...###.#..##..##.#.#.#.#####....##.......###.####....#.######.##.##.#########.#......#.#.#..#.########.##.#.##...##.#.#....#.#.##..##.#.#####.##############...####.#.#.##.#.#..#####...####.#..##.#.#..###.#..###.......##.##...##.#.#.###....#..##.#...#.#.#.###.###.####.###..##........##.##.##...###.#######......####.#.#.#......##.#....##.#######.##.####.########.#............#.###.#....##.#####..#####.##..#...#..#.#...#####.###....##.#..#.......##....#.#.##......##.#######.###.##.##.#.###.##############.....##.##.###...####.#######
#...#......####.#...####...#####...#.##...##..#.....##...##..#...##.####.##.##.##.#.....###...#.#.###.....#..###.###..#.#....##....#.#..###.#.#.####.#.##.#..#..#.###.##....####...##.##.#.#..###..#.###.#.#..##..#######..######.#.###.###....####.....#....#...##.#.#.##.##.###.#.#.##.......###.#.###.#######.#..####....##...###......##......#.##.##########.....##.#.###.###..##..##.##.#.#.#.......####..#.###.#.#...##.##.#.....##.#..##.........#######.##.#.#.##.....##.####.####.#########.#.###.######.#.#.............##...##.###.###.#..###.##..##.#.#....####..#.#.##...#...###..#.##.##.....#.##.###...#.##...#########.#...##....#.##.......##..#########.##..#####.........##.#.#....###.###.#.####..##.#.....##.##..####.....#.#.#.....#####.#.#.##...######..#.....##.....#####...#...##.#.####..#...#.#.######.##.#.##.##.##........####..#.#...##....###########.....##......##.##.#.##......##.#............#
###...##.#...#####.##....#....####.#..#######...#.############.#.....#.######...#.##.####...#.#.#.##..#.#.#.###....#.##.###.##..####.##.#.###.######...##.#.###.####..##.####.#..#.##.##.#.#.##...####...####..##..#.##...##.#.##.#.#.....##.#.##.####.##.##...###..#.#..#.##..######..##.######...#.#.....##.#..#.##....##..#.#...####.#..####.###...............###..#.#.#...##..###.###..#######.##.#####...##..####...#.##..#.##.#.##..##..#.###.######.#.#####.#....#.#.#.......#.#......#...##..#..##......#.#.###.##.##.###.#..#..#.#.....####..##..##.#..#.#.##..##..##.#.##.#####.##..##########.#.###...##.###.##.#..#.#.##.####.##..####..###.##.####....##.##...##.....##.##.#.###..#.##.#.##...##.#....##..#.#.#.#.....##......#.###.....#.#....######....#..#...##.#.######.######.##.#######.........##.#.#.#..#..##.##.#..###...##.#####...###.....###..##..#.###.#.#..#.####.#######.####..##.##.##..###.#.#.######
#.########.###..########.#.#.##....##.#.....#.#.#..#.####.#.#..##.#.##.....###.####....##.#.#.#.#####.#.#.#.#...#.####..##...#.##.....###.....#......#..###.##.....##.#..##.....##..#.##.#.#..#.#.##...#####..##..##....#.#.......#.###.####.#.##.......#####.##...##.##.#######.#....##.......##.##.#.##.###.#.####..#.###.#####.##....#####.....##.##.#####.###...#########.####.##....##...##.....#####.#.#..####.####.#.##.##.####..#.####.#..##............#.#...###################.#.#...#######.####.###########..#.##...#...#####...#.#....#.####.##...########.##.#####.##....######...##.......#.#...###...##.##.##...........#..##....##.#...#...#.#.##.....##.###.#.####..###..##.##.##.######..###.####..##.#.###.###.###.#####.....#####.#.##...#.#..#.###...######....##.....#.#....#..##.#.#########..###.##...###..#.#######.##...#.######.##.##..##.####...#.#.....##.......#....#....##.##.##..##.##..#######.##
#......##....#.##........#.###..##..####.##...###.##..........##..#.####.#...#....##.#..#.#.#.#...##..###.####.##....##.#..#.######.######.##.##.##.###..##.###.##.##.##..##.##..##.#..#.####.###..###.#.....####..####.#.##.####.#.##...##..#.#..#.###....##.####.##.##..##.......##.##.#.#.#########.##.#.#.#....##.#.#...##....###.#.###.#.#.###..#...#.##...#.#..##.##....#.....##.#.##.#.###.##.........##.........#########....#.##.#....##.##.###.##.#.#.....###...#.#.##.##.#.#...#.#.#.......#..##.......#.##...##.#..#.###..##.##.######.####.##.###.##.#.##.#..#.....#.##.#.##.#.#..####.####.##.#.###...#.##.##.##.##############..#.###########...#..##.#.##....#.#....##...##..######......##.##......##..###.##...##...#.....##.##...#####.##.###.##.###.#.#.#.#.#########.##.....####.###.#.........##...###..#...#.##..#.#.#######......#.#.######.......##.##...##.####.#.#.##.##...##..#.##.###.##.###..........#
##.#.#....#.##.#######.#.#...##.#..###.###..#.##...#.######.#..######....###...####..#.####.#.#.#####.#...##...#..#.##..##.#.##.#######.#...###...###...#####...#####.#..###.#..###.####...##..##.##...##.##....##.#....###..#....#..##.######.##.#...##.###...##...#..#.#########.#...#.###.##.#......#........#.###.#####..##.#.#...#.#.....#...##.#.#....##.##.##....####.###.#.###.#.##.###...##.##.#.##..##.#.##.#.....##....##.#..#.####.##.##...#..#####.#######.#.............#.###.#.#.#.#.#.##..##.#.#.##..##.#####.#######.....#.....##......##.#......#..#.##.#.#####..###.#....##....####....#######.#.#..#.####...........#.#.##.#....##.......#.#.##..#####.#.#.##.#.##.#..##......###.#.###.#####.###..####.#..#..#.####.##..#..##.##.###..#.....######.###.......##..#.#..#.##.###.........###.##.################..##..........##.######....###...#.#.#.####..#.##...######.#...##.#########...#..#...#.#.#.##.#.#
#..####.#.#.##.........#.#.#######.##..#...##..##.##.#####..#.##.##...##.#...#....##.#.#.##.#.#.###...#.#..#.#.##.#.##########....###.#...#..#########.####...#.....#.#.##...#.##.....##.#.##.##..##.#.#..##.########.###...###.#.#.##....##...#..#.#.##...##.##..#.##.#..##...###.##.####......##.#.###.###.#.##.#...##.#..###.####.####.##.##.#..#.#.#.##..#.##.#####..##..#...#...#.#..#...##.######.#..##..#.######.#.#..##.#..#.##.######.#####.#.##....##.........#.#.##.##.#####.##..#####.#.#..##.##.###.###......##........##.#.#####.####.#.#.#..##.#.#...##..#.#.....#.###....#.###.####....#.#####....#.##.#....#.#.#.###.#...#.##.#.##.###.###.####.###...#.###.#.##.###..##..##.#.####..####.....##...##....#.#.#########...##.####.......##.##.####.#....###.##.####..##.##.#.##.#.#.#######...#.##...##.##.#.#.#######..#.#.#.#.##.....#.##.###.###.#.#.#...#..##.##.###.#.#....#.####.###.#.######.##.##.#.#..#.#.#
##.##.###.#..#.#.####.##.#..##...#.###...#..####...#.#.....####.....#.######.##.#..#.###....#.#.#...#.#.######.####....#.##.#####.....###.####.........#.#..#.##.##.######.#.#..###.#.##.#.##..##.##.###.########.#...####.##...#.#.##.#.###.#.##.###..##.###..##.#.#..#######.....#..#.#..#.#######.#....####..###.#.#..##.##..#....#....##..#.#.##.#.#..#.#####.....##..##.#.#####.###.##.###....##...#.###.##......#.#.#.##..#.####...##.....##...#..##.#..#.##.#.######..#..#....##..##.##.#######.#..##...#.#...###.##..##.#.###..#...#####.########.##..#.###.#..##.#.###.#...#.#.##.##.....###.##.##.#..##.#..####.#.#.#.#..##.#.###.##.#.####...#...#.##...##.##.###.#.##.####..#.########.##.##...#.#.######..######......##.######....##.#.#.##...#........##...###....##.##...###.##.......#...#####..#.#.#...#..........##.####.###..##.##....#.#.#...#.#.#.#.#...##...#.......#.#.##...#............##.##..#.###.##.#.#
#..#......##.#######...####..###.....###.#.####..#.#.##.#.######.##.#.#...#...#.#.##..####.##.#.#.#####..##.#...##..####.....#....#.#.....##...##.#.##...##.####..#..##....#.#.##...#..###.##.##..##.#...#..........#.#....####.###..###.##..####...#####.#.##.##.#.##.###...##.#####...##.#..##.##..##.#...##.#########.....##.###.###.#..#.####..#.#.##.#.....#.#.#.##.##..#..##....##.##..#######..#.#...####.##.###.###..##.#....#.#..###.#.##.#.##.#..##.#.##.#...#.#####.########.##...........#.##.###.######.#######..###...##.#.#.....#...##...#####.#..##...#####...####.###########.#.##....#.#....###.##....#.#.###.#.##..#......#.#...####.###....#.#.##......#.#..#....#.##......##......###.###......##...##...#.##.....###.###############.##.##.#.#####.#####.#.......#...###..##.####.##############.###.###.##.#######.....#.##..##.##.......############.###.#.#.#.#.#.#.###..#...#.#.######..#####.#..##.######
#.###.#.#.##.####....###....##...#.#.#...#.#....##.###..#..##.#######.#.#...#.#.#..#.##....##.###.##....##....#..##...####.#...##.#.#.#.######.######..#..###....##.##..#.##.#.####.##.###.##..#############.#.#.#.##.#.#.##.#....######.###.#....####......####..#.####.###.....##.#.######.###.##.##..#.#.#.....###....#.#.##..##.##..##.#....##.###.#..#.#.#####.########.##..#.##..#..##.......####.#.####.#############.##.#.#.##.#####..#..###.##.##..########.#....####......#.######.###.##########....##........##..####.######.##.#.##.#####.####.#.##.##.#.#...#.########.#....##.#.#####.#.###.#.###...##.###########..##.###.####.#.#..##..##..#.####.###.#.#.###.##.####.####.####..###.###....#.#.##.##.#..###.#.##.#.#......###.#.#....#.#..#..#.#....##.....#.#.#.#####.#########.......#.....##.#.#...#....#.##.....#.##.#.##.###.##.##.##.##...##.#.#.#.###.#####.#.#.###...##.#.#####...########..#.#.##.......#
#.#...###.#..#.#..##...##.#.##.#######.#.####.######...###.##......#..###.#.#.#.##.#####.#.##...#..####.#####.#.##..#.#....##.##..#.#.#...#.#..#......##.#######.######.####.#..######.#...##.##...###.......###.#.#..#.#.##.#.##.#.......##.##.#....###.####.#######.##.#.###.#.##....#.#........#.###.#.#.##.####...##.#.#..#####..##.#..#.#.##....####.###....##...##.....#..##.#..##.###.#.######...#..................###..#.####..#.#..##.##...##..##.....#.#..#.#.##..#.######.##.##...##...##.##.#..#.##..##.#.#####....#...#.##..###......#.#.##...#.#..##.#...#.#...#.#.#....##....#....#######..#.##..#.#........#..######..##...##.#.#####.###.##.#..#.#.#.#.#.##..##...##....#....##.##....#.#.######..##.#.######..#####.##.#.........##...##.#.#####.#####.##.#.#.#.....#.....###...#.#.#...######.....###.########.#.##.####..#...#.#..##.##..#.#......#........#.####.####..#.##.#...###.#.....#....####..#.#.##.##
#.##.##...##.#...####.#####..####.#.#..#.##.....##...#.#...#..#.##...##...#.#.#..#...##..#..##.##.##.....##...#.###.#.###.##..#..####.##.##.#####.#.#.##.#.........#.#..##...##...##...#.####..###.#...##.##.########.#.###.....#.####.##.##..###.#.##............##...........#.#..#.##...#.#.##.#.#...#.#.#....####.##.#.##...##..#####.##.#..##.#..##....##.#.####..####.###..#.##.##...###....##..#.##.#########.#.#.#...##.#..#.##.#...###..###..#.####.##...##.#.#....##...#........##.##..#....##.##.###..##..#...##..####.#....##..####.####.#..#.######..#.##.##.#.#...#.#.######.#.##.###.......##..##.#.##.###.#...##.###..###.######.....###...##...####...#.#..#####.#..#.#.###.######..####.###....##.#..#......##...##..##.#.#####.###..######..##......############.#.##.#.#...#####.#.##.##......###.........#.##.#.......########.##.##.##.####.##.#...#.##.#....##.....######..#.#...#.#######.####.#..####..#..#
########.##..###...##..#.##.##........##..##.#.####.####.#.########.#######.#.#.##.#..##.#.##..##.###.#.###.#.#...#.#.#....##.#.##.#..##.##..##...###.##.#.#.#.#.#...##.##.#.##.######.#.##...##...###.#..##.#........#.##..#.#.#.#....#...######.###..#.#.#.##.#.#..#.###.#.#.####.#.###.##.#..#.###.#.######.#...##.#..###..#.##.##.....####.#####.####.#.####...###.##...##..####..##.#.##..#.##..##.##..#.....########.###..##.#.##.##.###..##...##..##...#.###..#.###########.########...##.##.#....##.####..##.#.#..##....#.##.#######.####.##.#.##....##..##.##.##.#.#.#........#.###..##########.####.##.#.#...####.#......##...#.....##.###.##..#..##.###...#.###.####.#.######...#......##...##.....#####.##.#.#########..##..###.....#...##.....##.####.#.#.#....#.#.#.######.#.#.#####...#..####.#########.#.#.##...##.#.###.#........#.##.#####.#.#########.########.####.#.####.##.##.#####.##...........##.#.###.##.#
#.........######.#..##.#.....######.#..##.##.#...##.#.#########.....##......###..#.#.##..#..####..#...#.##..#.#.#.#.#.######..#.##.##..#####....#...#.#..#.#####.#.######..###.....##..###..#.##.#.....##.#..##.##.##.###..####.#.##.#.#.#..###.#.######.###..###.#######..#.#.#....#..##..#.##.#.#####.##.....##.##..#.##...####...##.##..##......#..##..#....#.#...######.##.###...##..#####.#..##..#####...###..##...##...##.##....####...######.###.##..#.#..##.##.....#.###...##.....##.###..#####.##.....#######.#.##..######......#.#..##...#......####..##..##..###.#.##.###.#...####......####..##...##.#.#.#....#.##.#.#.##.#.#.#.####...#####.##.##...###.#...#......#...#..##.####.######.##..###...##..##.#.####.#..#.####.##..#.#.#.###..#.#..#...##.###...##.........##.#.#.#.....#.#.##.......#..##.################...#.##.##.####..#..##........#.#.##.....#.####.#######....#.##...###.#..#.#.#.#.####.....#.##.#
#.##.#.##.#......#.##..###.###.###..#.##..#####.###.#....###..#####..###.##.#...##.#..##.#.###...###.##..##.###.###.#.##.....##.#.....##...####.#.###.##.#########.###.###.#...#.#.###..##.##..#.##.#.######..###..#...##.###...###..#.#.#.##.....#.##.....##...#.#.......##.#.#.####.##..##.#..###......#.#.#######.##.#..#..####.#####..####.##.###.###.##.#########..#####..#.###.###...##..#.##..##...#.######....#..#.####..##.#.##...#....##....#..##.#.##.#...##.##.......#....##.#####.#####.######.##.##......#####....#####.##.....##..#...##.#######..##.##.#########...#####....####.###....####.##..#.#.##.######.#####..#.#.#....#.#...##..##..#.###...#.#.#.###.##.#.#.#####..#...##....##...###.##.##..#......#.####..###..##.###...##.#######.##....###.##.#.#.#.#....###.#.#.#####.##.###.#...###.#.#.#....##..##..#.#.#..##....##.#.##..#.####......###.#....###.#.#.##..##.####.###.###.######.#.##.#.#.#.###..#
#.#..#######.###.###..##...#.......######.#...#.##..###.##.##.#.#...##...##.##.#####.##..#...##.##...##.##...##...#.###..##.##..###.######......#...#.######.#.#.....#.#.####.####...##.#..#..##.#..#.#..#...##...##.#.##.##..#.##..##.#.#.##.#.#...####.#.############.#.##.#.#.####.###.#####...##.##.####....##.###..##.##...##..##...##....##.#.###...##...##.##.##.#.##..##.##...##.#####.#####..###....##.###.########....##..#####.##.##..##.#.#.##..#.#..##.##...##.#.##.#.##.####.###.........#.##..#.#..##.#....##.##.....#.###.##....###.###.......#.##..##..#.##.##..#.##.#####...######.#.##..###..##.###..##.##....##..##.###.####.#.#####..#.##...#.#.#####...###..#......#..###.####.#.##.#..#######..##.####.....#..###..#####...#.##......##.##.##...#..#.#.######.#####.###...##..##...#.##.###........####..###########..##.############.#####.#.#...#####.##.#......#.######.#......#..#....#####..###.#...##.#
#######.#....##....##.########.###.##.....#.#....#####............#.##.#.##..#.##.....##.#.###..##.######..#.###.##########.#####...##.####.#.#.##.####.##.#.#.###.#......##....##.###..#.###.##.##.#.##...#####.##..#.##..##.###..##..#.#..###.###.#.##.#......##.###..#.#..#.#.#.....##....##.#########.#..##......####..#..#####..###.###.#.##...##..#.##.#........#.#.###.#.....#.##..##....##...##...##......###.###.#####..##..##...####..#####.#..##.####.##.##.#..###..#.#.#....##.#...#####.#...##.#####.##.##.#.#...#.#.#.#..##..#.#.###....#.###.#.#..##.###......##.##......#######..#.#.#####.....##....##....##.##..##..#.##....##.#..##...##..##.####...###.#...##.#.#.####.##.#.##.#.#.#..##..###.##.##..##...#.#.#.##.#####.#..#.####.#########..##.#.######.##.##......#..##.#####.##.###..#.....#.#.##...#..##.#.#.#...##.##.........##......##.#.#.#.....#......#.##....#.#.#.####.#...##.#####....###########.#
###.##....#.####.#.##.#.##..#...##..##.##.#.#.#.##...###.#######.##.#..#.#..#####.#.####.#..###..###...#..##.#...#.##..#....#.....#.##......###.####.#.............###.#.####.#..#..###.#.##..####..#.####.##.....##.#..#.##..#...####.####.##..##.....####.#####......####.##.#.#.#.#####.###..##..#.......##..######....##.##.....##....########.####.#.##.#.###.##.......###.##.##.##.####.#..##.####.##..#.##.............##..##.#..#....##...##..#.##..#.....#.##.####...####.##.###....#.....###.###....#.#.#...###.##.##.###.#.######.#.#.####.#...###.####....##.#.#..#.#####.#....#.##.##.####.###.##.###.#####.#..#.##.######.##.#####.##..##.####.##.##...###.####.###.#.#.........#....#.#.##.###......#..##.##.#.#.#..........#.####..#.#.....##..####..#.....##.#...##.#.####.##.##.##############.#.#.####.###.##........########.###.#.####.#.#.##.###.##.#####.##.##.##.##...#....#######.....#.#..##....##...#.#.#
#......##.#.#.##.#..#.#..##.##.####..###..#####..###.....#........#.##.#.##.....###..##..##...##.#...#...#######...###...##.##.#.##..##.#.#.##...##....#.#.##.##.#.#######.#..#.##.##...#..##..##..##.#....#..##.##..##.#..##.#.#.##...##...#####..#.#...##########.##..##...###.#.#..####...######...##.##..##......##.#..#..##.#.####.#..##.##...#....#..###.###.##.#.##.##...#...#.##...##.##..##########.#####.#.##.#########..####.##.######.##.##.###.##.##.#.##....###....#.#......#.##.##.####...######.#.#.#..##.##..#..##.#.....######.#.##.#.#...#..####.#.####.#.####.###.#.##....#.....#....####...##.....#.####..#......#.#......###..#####.#####..#.#........#.##..#.##.##.###.#.##.######..##.###.######.##.#.#.##.#######......##...#####....######.#.#####....######....#.##................#########.#...#....#.####..##.##.#...#.#..##..#.#.##...#.##.#################.#...##.......#.###...#.####.#....#...#.#
#.#.####..#.#....#.#####..#.....##..#####..##...###..#.#.####.##.##.##.#.#..#.####..##..####.######.####.##......#..####.##.####..##.######.###.######.#.#.#..####.......#.##.#..#.##.###.##..####.#######.##.##.##.##..#.##..#.#..###..##.##.....##.##.##.#......####.##..#...#.####..##..#.....###.######.####.##.###.##.####..#.#....##.....##.###.###.##.....###..#..#..######.##..#.#..###..###.##....#.....###..#....#######..#.#.#...##.....#..###...#..##.#.##.####...#.#####.###########....#####.#....###.#.##..#..#####..#.##.##.#.#.....##########.#..#####.##.######...#.#####.#...#.#...####....#.##.###########.#.#.##.#.##.#.#...##....#......##.#####.######..################..#..##....##..#####....#.##.#####........##.##.###.#########.###...#.#....##.##......#.#.##.##.#.#.###.##.###.....#.#...#.###.##########.......#.######.##.##.#####.#####....#.#..........#.#.###..#.#####..##.#......###.##.##.####
#########.####.#.########.####.####....###.####.##..########..##.####..####.#.#..##.##.###...##.....##....######.#.##....##...##.##..#.#.##..####......#.#.##.#....#.#.#....###.#######....#.##....#.##....#..#..#..###.#.###.#.#.###..##...##.##..####......###.##.....##.##.##..#.##.###.#.#.###.#...##....#.###..##...#.#..##.######.#..#####..#.....#.##.#.#...##.#.###.###.....#.#####...##.....###.#...#.#...#####.#....##.##...#.##.####.#.###...###.##..#.#.##...###.##...##.........##.###.###.##...##..##.#..#.###....###.#..#........#.#..#.#.#.#.###.###.##..####.#.#.######.##.##.##.###..#.####.#.##.....##....#.###.##.####.#.###.###.#...#.##.#..#..##....########.##.......####.##.##.##..##.....#.##...##.....##.#.#.#.#..##.##.........##.#.#.#.#.#.#####..########.#.##.##.#.###...##.####.##.....#.#...#...#.##...#######.#...##.####.#...#.##...##..##.....###.#.##.#.#..##.##.....##..#################....##
#..........##..#...##.#.#.#.#....##.##..##.#....#..##.#......##.....##.#....#...##..##...###..#####.####.###.##..#..##.#.#..#.#..#####......##....##.#.#.#.#####.#.###.##.###.......###.##.#######.#....####.###.#.##...#..##.#.#...##.######..###..##..#############.###..##..##...####.#.######....#######.....#.###.#.####....##.....##.....####.#.#.#.##.####.#######.###...##.##.....##.##..##.##.####.######.....###.#.###.###.####..#.##.#..##.#.##..#..##.#.#..#..##.##.#####.##.#.#....###........#..#####.######.##.#...#.####.##.###.#.####.#......##..#..##.###.#.#...........###..##...##....##..#.####.#....##.###...##..##..#..##...#.#.#.#..####.##....####.##.#...#..#.#.#....####.##.#..##############.########..#.#.####.##.###.#.###.#####...#####.....##........#########.#...##.##.....#..#.##.######...#......####....#####.....##..##.##.#..#.###..#.##.######..#.###.##...###.#####........#.#..#...#.##..#
#######.#.###.###.###.#.......##..#..#.#######.###.#....#.##..##.####..#.##.##.####..#####...##.....#....#......##.###.#.####.##.#.########..###.###.#####.#.#...#...#..#...#.#.#.###...##....##.###.#########.###..#.#.##..#.###.#..###......##...####.........#.##....##..##.#..###........##...#.##.......#.#.#...###..#.##.####.#.#.##.#.#.##...#.#.#.##.##............##.#.#...#.#.###..##.##..##...........#.#.#..##.#..#...##....##....###.##..#..##.##..#.#.##.####..##..#.#...######.#...#.#.#.#.##.#####....##......#.###...##.#....#.#......#.########.##.##.#.#.....#.#.##.#.#####..#.#..##.#..##.#..##..#.#.#########..########.##..###.###.##....####.##...........#...##.####.#....#.##.##..........##.........##..##.#..##...#..##.#..####.###.#####...#########.#.#..#.#....#.#.#..#..##.#.##.##.##......##.###.######.#.####...#.#.#####.##....#.####.#.##..#......##.#..##.######.......#.######.....##.#########
####....#...#.##..##....#.#.#.##.##.##.##......##..##.#.#####.##....####..#.#...#.#.#######.####.#####.######.#.##.##..#...##..###...#####..##...#...##....#.##.##.######.###.#.#.###.#.##.#####.#####.............#######.##...#.#.#####.#.#.#..#.##...#####.#...####.##..##..##..###.##.######.##.##.#####.##########..##....#....#####..#.#..#####.#.###..#..#.##.##.##.######.#.###...##.#..##.#######.##.##.#.####..#.##...#..###.##..#.####..####.###..##.###.##....##..##...##.###.#.####.##.###.#.##.....##.####.#.#.##..##.####.##.#.#######.##..#...##..##.##.....#.###.####.#....##.##.#.##..##.##.#.###.##.#.........##.......##..##..##...#.##.####.....##.#.###.##.##.##..##.####.#.####.#..#.#.#.########.###.######..#.####.##.##..##...##.#.#.###.#######.#.########.....####.#.#.#####..#..####.######.#####.#.............##.######..##.##.##.#...##....#.#########..#.###.....##.#.#.################....#######
#....##.#.#.#..##.#..#.##.#.#.##..#.#######.##.#..##..#.#.....####.##..##.####.##.........###....#.....##.....#.##.###.#.####.##...#.#.....####.##.######.##....#.......#####.#.#...###.##..##.....#...#######.##.##.#.....##.#.#.#.##..###.####.#.##.#.....###.#...##.###.##.###.##.#.#..###.####..##.##.............#.####.#.##.###..#..##.##....##.#...#.###.###...#.##.#......#.##..###..##.#...#.#.....###..#...##.##..##.##.####.##.##.##...##..#.#.#######....##.#..##.##.###...........#.##..##.###..##.###....#.#.#.#..###..##..##.#..#.##.####.##.#####.##.#..#########..##..#.####..##.####.##...###...###..#.##.#.#####.###.#.######.##..###.##....##.#.##..#.#....#..#####....##.###....#.##.#.#.#...##.###.##.......#.##..##...#####..######.#.#.#.#.#.###.#.......##.#####....#.#.#....###.##..#.#....######.##...#.#.#.##.####....#.##.##..##.##.#.#..##.###.#.###.########...#.####.#.#..#.#...........#.####.##..#
####.##.###.##..###.####..#.#.#..##....##...#..##..##########.#.......##..##....##.##.#.#.####.###.#.#.####.#.#..###...#....#.####.#...##.#######..##.#...###.#.###.#.#.....#.###.###...###.###.##...###.......#...#.##.##..#.#.###..##.....##...#.#..##.##.#####.#.####....####..##...##.#......##.##..#####.#.##.######....#.#..####...###.###.####.###.#.##....#.#.#######.#.#.#####..######.##.##...###...##.#.######..##..##....#.##..###..#.##.####.####....#.##..##..####..###.#.##.#.#.#..##.##.#########...##.#.#.#.##.#.##..##..#.##.#.##..##.....#.##..##...##.#.....##..#.##....##..#..##..###.###..#.####.###..#####...#####...##....##...#.##.#########..#####.####...#.##.#.....##.#.##.#..#.#.#.###......##.###.#.#####.##.#....###...###..................#.#.#.......##.########.##...#####.#.###.##...#...###.#######.....#.####.....##.##..#########..##..............########.########.#.#######.#....###.##.##
#.....#.##..###.###..##..##.####..#.#.##########..##.#.#.#....#.##.#.####.##.##.##.##.#.#.#....#...#.#.#....#.#.#####.###.#.#....#####.##...##....###...#.#...#.#...#.#.#.#.#.#.....###..####....###.#...#.##.####...##..##.#.#..##.##..#.#..##.##.##.#...#.....#.###....#.##....###.###....#.#####..##.#.....#..#.....############.####.##....####.#.##..#.##.##.#.#.....##..#.#.##..##..##....#...###.#...#..#.#....##..####..#.#.######...##.#......##....####.#..#.####..##..##...#############..##...#.#.#####..#.#.#.#.##...###..#######......###.###......####.##....#######.#####.#.##.#######.#.....##.#...##...##.....###....##.####.##.##.#####......###...##.#.....####....###.#.#..#.#..#.#.##.#.#..##.#.#.##....#.#.....#.#####.###...#.....###.#.#.#.########.#.##.#.#######.#.######..###........##....#...#...#..#.#.##.#.#........#.#..#####....#.##.##########.#########.#####..###..##.......#..###.#.##.#.....#
##.##.#.###.#.###...####.##.##...##.###..........##........#.####..#..##...####..#.#..#.#.##.#.###.#.#.###.####.#.....#.#.#.#.######...#..#..#.#.##...#.#.#####.#.#.#.#.#.###.###.######...####.##...#.###..#.#.##.###..##..#.#.##..###.#.#.##...########.#######..###.#.#..######...#...#.##...##..#######.#.#.########..#.#............###.#......#..##.#.##.#######.##.#..####....####..####.##.####.###.#.####.####..###...##.#...#.###.##..##.###....####....##.#######.##.##..#......##.#.####.#..#.......##..######.#.#..###.##...##....#.##.......##.######...#..#.##.##..#####.#####.......##.#.##.##..##.##..###..#.#.##..##.##..#.#.##.#...##...#.####.##.##..##.##..###.###############.##.#..#####.##..#.#..##.#####.###.#.....#.##..#.#.#.#...#####.#........#.#..###.###.###....#.#########.#.###..##.########.###......######.###.######.##..##.#........##.#####....##.###.#.#.#.##.##....#.#.###.####.###..#.#####
#...#.###.#.#..####....####..###.##.#######.####.##.####.#.#.#....##.####.##....#####.#.######.##..#######....####.#.##...#.####.#...#.##.##.#.#.##.#.#.#.#.....#.#.###.#..##..##..##....#..########.###...##.#......##..#.##.#..##..##.#.#.###.##.............##.##.###.#.##......#####.#.##.#.###..##.....#.###.##...##.....##.#######..##.#.####.#.##..#.##.....#.####.##.##...##...##.##....##.#......###.#.#####.##...##.##..#.#.....#####.#######.#.##...#.##.....##...##..##.#.##.#........#######.#.#######...##...#.##.....##.#..#.##.#..###.##.##..####.###...#####....####.......##.#.#.##..#.##..##.#...##.##..########.##..##.#.###..#.#..#.#.#.#.#........##...##...#........##.##.#####.#.###.....#.##.##.##...###...#.#.#####.#..##.#.#.#.#..#.######.#############.....#...##.....#.#...###...##.##.......####.###########.#...#..###.###..###.#.#.#.##........#.##...............#.#..##.###..#...#.#####.##.##..#
#.#.#.##....##...##.####....##...##...##....#....#####...#.#####.#####.#..##.##.##....#.##..##.###..#.##...#####...#####.##.##.....#.#.##.#..###.##.#.#.#.##.##.###...#.##..#.####..#.#.###.....##...#...###..###.#.##..##..########..#.#.###...#####.##.#.######.##..##.####.##.###..##.####.###...#######.#........###..##.##..#.......##..#....###.##.##..##.##......#.#..#..#.##.####..##.#.#..####.#..##..........#####...##.###.###.##..........#####..#.#####.######.#########.##.#.#.#.##.#.#.###.#.##.##.#.#..##.##.#..######.#.##.#..##.##...#..##.......#..#.......##..#.#.##########.#.##.##.##.##..#.#.##.###.#.####.#.##.##......##.#.#.####.#...##.###.#.########.##.######..#......#.#####.###.#.###..#..#..#...#.#.###.....####.##.#.######........#.#...........#.#.#...#..###.#.....###...#.##..##.#.#.##..........#..#..##.###..#....##.#.#.###.###..##.#.#.#..#.##.#.##.#.#.#.....##..####...#....##.#.#.....##
#.###.##.#.#####.......##.#..##.##..#..###.##.##..##...#.#.##.##.#.###.##.##.#...##.#.#.###......##.#....#...##..#####...#...###.#.#.###..##...####.#####.##.#..##..###.##.##...##.####.##..###.####.###.##..###..#.##.####....######.#.#######.....###..#......#####.......###....##.....#.#########.......###.##.#...##.##.######.#.#.####.#.##...#.##..##.#...##.#.###.##.##.#.##....####..#######...#.###.#.##.#.###..####.######...#..#.#.##.#.#.....##.#..##.....#.##...##.......###.#####........###.....#.####.##..####...###..#..###.###.##.######..#.#.#...##.###.#..##..........#..####.##..###...######.##.#......#.#.#.#..##.#.####..#.#..##..###.##.##..#......##..##......####.######.##.#...##.#...#.###.##.#.#.#.#..##.#.###..#..#.#..#.#...##.##.##...#.###.##.##.#.#.####...####.##...##.####..#####.#....####.#.#...##.###...##.#.#####...#...#.#########.###.##.#########.#.##.##..####....####.#..#.....###..#
#...###..###.....##.####..#.##...##.##.#...##.#..#####.#.####..........##.##.#.#.#..###...###.#.##..##.#.##.####..##...#.#.#.#...#.#.####.#..#..##..##.############...###...#.#.#...##..##.###..#....#....#.###..##.#....##.####.######.#.......#.#...##.##.#.#####.##.#.#####..####..#.#...........#####.#...###..##.#####..#......#.#.##...#.##.#.########.##.#####..####..####.#..##....##.#.......#.#.#.#.#..#####.##.#..#......###.#########.######.#####.##..#.#....#.#..##.#.##...#.....##.#.#.#..###.##.#.##.###..###...###.####.###..#.#.#..###....##.#.##.##....####..##.#####.###.##..#.###...###...#.#..##.##.##.##...####.#..#...###.#.##..##...#..#####.###.#####.##..########..#.#.##.##...#..#.###.####..#..#####.##..#.#.#.##...##.##.#.##.##..#..##.##########..#.#.#....#####.....##.##.....#.###....#.##...######.###....#.####......#..#########.#.#...#..##..#....##...#.###...##...##.##...##.##...#.#...##.#
#.######.#######.##...##.##..##.###.##.#.######.##.....#.#....##.##.##..#..#.#.####.#...####..#..##.#..#.##.##...####.##.######.####.#....##.#.##..##...............#...#####.####.####.##...#.#########.####...##..##.###........##....#.#.##.##.#########.#####....###.....##....####.#.#.######.######.##.##...##.....##.#######.#.#.##.#.#..#.#..#...##..##....##.##.#####....#.##..#.###.###.##.##.#...####..#....##...###.#.#...#....##..........#...##...##.#.#.######.##..#.###.#####.##..#.######...##........#####..#...#..##....##...####...###.###.#.##.#####...#####......#..#..##.####.##.###..#...#.##...####....#.##.#.##.#.#..######..###.####.###....##..##...###...#.##.##...........#.####...#....##.##..#.##..##.#.#...###.#####.....###..###.##..........#.####.#.##.....####.#####..#.###...###.##.######.#.######.#######.#.######.###.#.#.#......###########.###..###...##.##..#######.####.###.####.####.#
#......###.#.#.###..#.##.#..###.#.#..#.####......##.##.#.####.##..#.#..###.###....####.##....########.##########..#.#.####........##.####.#..#..##.##.####.#.#####.###.#########...#....###.#####.....##..##..#.##.###...####.#.#..##.###.#.#..#..#.............#.####...#.####.#.##.####.#......#.#.......###..#..#.#.####.#.......#.#.##.#.##.####...#.##.##..#.###.....#.##.##.#.##.##...###...#..####.#....##...##....#..##.########.###..#.#.#.#####.#####..#.#.#......#####.###......######.#......###..#.##.###..##...##.#...###.#####.#..#.#.#.##..#.#####......#.###.####.#.#.##...###.#.#...#...##.##.##.##.#.##...##.#....#.##.#.####.#.###...#....#.#...#.#######.#..##.#.......##.#####.#######.#.###.#.##...##....#######.#.#..##.....##.#.#####.##...#.####.#.#####.##.#..##.#.####.....##.##...#.#.##..##....###....##............######.............##.#..#.##.#######...#####.##..##.###.###.....#..##.#.######..#
##.#.#.##......####.#.##.##.#.....#.##.#....#.#.###############..##.#.##.#...##.#####...####..####.....###.##....##......##.###.#..#########.##.#..##.#....#.##......#.......##..####.#..##..##...#.#....####.#..#.#...#..##..#.##..###...#.##.##.##.###.##.###.....##.#.#..#.#.###.......##.#.#######.###.####.#.####....###########.#.##.###....##.#.#.##.##.##.##..###....#.#..#.#..##.######.###..##..######..####.#.###..#........########.###....#####....########.######.....##.#####.#.#..#.#.#.###..##..#...####..#..#.#.#...#..##...#.##.###..##...##..##.##.##.......##########.##.......###.###..##.##..#.#.#..#.####.#.##..###...#.....####.#.#.####.#.#.##..##..#.##..##.##.#........#...#.#.#.##########.#.#..##.......#.#.#.##..##.##..#.##.####..#.#..###.#........######..#....##.#.##...##.##.#####.##.####...#####.########.#.##.....#.#####.#.#..#.##.........#..##.###.##..##.##.......##.#######......#..#.##
#..#.#.#######......#.##..#####.#.#..######.#.#.#..#.##.##......##..#....##.##..##....#.##...##..###.#......####..###.#.#####...####.........##.##.#..#.##.#.###.#.###.##.##..##.##...#.####.##.#.####.#....#.#.####.#.##.#..####..##...#.#.##.##.##.###.##.###.##.##..###.##.....###.##.##..#.....##...##...##.#...###.#.#...........#..#...##.#..#.######..#..#..##.##..#.##.##.####..#...#.##.##..####.....###..##..#.#...##.#########...##..##..####...##.#....##.........#######..........#.##.#####...###.##.#.##.####.##.#.#.#.#.#####.#......##.#..#....##...#..#.#.#.#...#.#.##.###..###.#...####..##..##.######.##....###.###..##.#...#.#....#######.#..###....######..##.##.##.##.##.########.#............#.#.##.##.###.#.#.#.#..##..#####.#....#..#.##.##...####.#.###....####.#.##.##.#..#.#..#.##....##.#...#.#.#####.........#######.##.##.....##########..#########.###......####...#.###.#.##.....####.#.#...#####
#.######.##....#.##.#######..#..#.##..##.####.####.#.......###.######.#########..###.####..#.###.....##.#.#.#....###..#..##...#....###.##.#.######.##.#.#..#.#...#...###...#####.#..#.#.##...##.####...##.#.###...##.#..#.##....##.#..#.#.#.####...#.#...#....#.#...##.#...###.#.##...#...####.#.#.#..#.###.##..###.#.#######.##.#.##.##.#.#.##.#.##....##..##.##.##..###.###..##...###.##.##....##.##....###..##.###.##.##.##......#.##..#..##.###......###..#.##..####.##.#.##......#.#.##.######.##..#.#...#..#.#......##.##.#.#.###...##..##.#.###..#.###.######.#.####.#.#.#.....#...#..####.#.#..##..####..#.....##.###.#######...###.##.#####.####.#..#.#.##...#.##.#....##...#.#..#####.....#.#....##.##.##.#.#.#.#####...#.#####.#.####...##..#.##...##..#.#..#.###..#...##.#....#.#.##..#.#.##.#.##.##.####..#.#.........#.#########.#.##...#####.##########.###..###..###.#.#.#######.##############.###....#.#.#.###.#.#
#....###....#.#####...##..##...##.###.#.......###....##.#.####......#....#.#....##...#.#..##..##.#.#.######.#.##.#...##########.#.##...#..#.##.#...#..###.##.#.#.#.#..##.#...#.###.##.#.######...##..#..###..##.####.##.#..##.###..##.#.###.#....#.#.##.###.##########.#.#..##.#.##.#.#.#.##...#.###.####....##.###......##...##.###..##.#.####.#.##.##..####..##..##..##...##.#..###.#..#..###.##...#.##.####.#....####.##..#.#.##...#..##.##....#.##.#...####..####.....#.########.####..#......#....#####.###.###.#.##..#..#####...###..####..#...##.#..##...##...#....###.###.#####.###.###.######..##..##..####.#..###.........##.##...##.#.#.#........##...####.#..#.#.#.##..#.#.##..##...#.#.....#.##..#####.#.#.#.#.....#.#...#######..##.####.#..##.##..####.##...##.########.######.##.##.#..#.#.##.##....##.####.##.#.#.......##.........####.##......#.#.....##.....##.#........##.#.#.##.##....##....########.#.......#
##.###.##.#.#.#.##..#.###....#..#...####.#.##.#.############...##.####.#...###.##..#...##..####..#.#..##.#########.#.#.##.......#..###.#.#####...#.##..##.######.#.#.#####.###.....####...##...#.###.#.####.###.##...##.#.###..##.###.####..##.#.#.###...##....#...#.###.##.#..####.#.#####..#.#..##.#....##..###...#.#.###.#..####..###.#....#####...##....#.####.##.##..#.##.##.....##.#.##....##.####....##.##.####.####.##.#..#.#...##...###.####..#.############.#.#.#..#.##.......##.##.######.#.....####...##.#.###.##..#.#..######....##.#.#.##.##.##.#..###.#.##..##..##.............#...##.#####.####....####.#...##.##.#######.#.##...#.#.#.#.#.###.#..##..#.##...#..####.#..##..#.#.#.#.#.#.#..##.....#.#.#.#.#.###.###.#....#.##.##....##.#.###..#.#####.######........##.....##..#.####.##.#..####.#.##..##...##.#######.#....#######.......##.#.#.....#.###..#.#....#.###.##....#...#.....#.####.#.....#.####.#######
#.......###.###....##.#.##.#.##.#.#############.#.####.#.#...#..########.###...#####.#.##.##....##.##.....##.##....#....#.#.##.###...#.#.#.....#######.##.#......#.#..##.....##.##..##..#..###.#.#...#.#......#..#.#..###.#...###.##..#....##..######..####.##...#....##.##.##..##..#.....##.#.#.##..#.#.##..###..#.###...#.#####...##...##.###..###.##..#.####.#...#.##.####..###.##..#.######.##..##...#.##..##.......#.#..#.#.##.#.########......##.#..##........###.####....##.#.#.##..#...##.#####.#####.###..#.#...#..##...##.....##.####..#.#.##.##..#.#.##.#.#.#..##..####.###.#.###.##.###..##..#...##.##....#.###.#..##.......#.#..#.#...###.#.#.#.###.####.#..###.##.###..##.##.##.#.#.#.#.###############.#.###.#.....#.##.#.......##.#..#.#...#.##..##.......##.#.##.#.###.#.###.##..###########....#####.##.#.##......##.###.##.....##.###.#####.#.#.########.#.##.#.....###..####.###.#######.##.##.##.....##.....###
#.#.#.###.....##.#.##.#....#..###.###.#.#.#.#..............#.##.....##.....###..##...#.#...###.##..##.#.###.....#.####.##.######.#.###########.##.#.....####.###.#.##..#.#.###..##.##..###.##..####.##.##.##.#####.##...#.#.#...#..##.####..##.#......##....##.#.##.###...#.##.####.#.##.###.#.#..##.#.#.###...##.#..###.##.##....#..###.##...##......######.#..###.#.##..####..##.#..##...##....#.##..#.#####.#..##.####.#.####..#.#.##.##..###.##.##.##....###.######...##.##.##.#.#######.#......#.######....##.#.#.#.##.##.#####.####...####.###..#.###.#.#.#..#.###.####....#..##########..#.##..#.####.##..#.###########..###.#############.######.#...##....##.##...#.##...##..#.#...#####.#.#..#.##.####....###.##..#.#.########.#.###.##.##.#.#.#.#####.##.#.##.#####..#.#...#####.#####....#.##.#.##.#...##...#.###..#.#.##....#....##.##....#...###.#.####.##..######.#.#.#...##.###....#.##.#.#..##.##################.#
#.#.#.##..##.###.#.#######.########...#.#.#.####.#.#.####.##.##.#.#..##.##..##.#########.#.#...###.#..#.#...#.#.#..##...#####........##...........####.##....##..#.##.##.#...#.#####..##....##.##...##..#.##.#####.#..#####.#.#.####..##...##########.#####..#.#..#.#...###.#..#.##.#.##...###.#.##..#.###...#..######....#.####.###.#...##.#####.###..##.#....###..#..##...##.##..##..#.######.##.#..##..#.####.##.....#.#..###.##.#.....##.#.#..###..##.##...#......##.##...#..#.#...##....########.###..##.####.#.#.#.##.#....##....##.#....#..##.##.#...#.#...#####...#.#.#####...#.#......##.##.##....#####.#..##.#..##...####...#.##...#######.#####.#.###.#.##..##.##.#..#.#..#####.###....#.##....#......##########.#.#....#.##..#..##..##########.....###..#..#.#...#.######.....#.##..##.#....#.#.####.#####.##...##.#.#..#.#.###.#..###########...###....#....##..#.#.#.#.#.###......##....#.....###.........######.##..#
#.#.#.##.##..#...#...#.#....##...#..#.....#.##...#.#..##..##.##.#.##.#...##.##....###.#..###.#...####.###.#.#.######..#.....######.########.#.#######..####.####.#.##..###.#####..###..#.##.#..#..#.###.#.#...#..####.###...#.#...##.#####.#...........##...##.######.#..##.##...####..##.##...#..####.#...#.##......###.####.#..#...#.###...##.....##......##...#.##.##..#..#.###.##.##..##.....###.####...#.##..##.##...#.##.######.#.#.#....##.####..#.##.#.#.##.###...##.##.##.##.##..##.#######..#.#.##..##...#.#.###..##.#..##.#..#.##.#.#.##..######.#.###...#.#####....##...#.....######......#.#############..#.####.###...#......###.#.#.#.....###.#.#.####.########.#####....##...#.##.#####.#...#.#.###.#.##..###.#.####.###.####..###.##.#.###.#.##...##.##...###.....###.##...#..#####.##........#.###...###.##..#.##.#.#..##.##..#.#.##..###.####.##...##..##...#.#.###...##.###..#.##...##.##.#.#######...##....##.#
#.###..#..#####.##.#.#...##.####...##.#.#......#.###.##..###.#..#..#.##.###..#.##.#.....##...#.#.##....##.#.#.##.#...##.#####..###....##....#.##.##.##....###....#.##.##.......##.....###########.#...###.#.#...####....#.#.#.##.##..#.....######.#.#.##..#.##......#.#.#####..#...##.##...###.#.####..#.#.#.#..##.###....###...##.#.#.##..#.####.######.################.#.##..##.##..##.##.#.#.#...#....#...##.##..##.#####.....##..#.#...####.....##.######.#.#....#####...#.##.##..##.##.........##......##..###.#...#.##..##.##.#######.#.#..##..##....#.##..###.###.####..#.#.##.##........##.#.#..#...##.#.#.##....##....###.##.#.#...........#.#######....##.....#####.#.####.#####.####...##...#####.#..........####.#........#....##............#.###..#..#..#.#...#.#####.####.#...###....###.#.###.#...###...#..##.#..#.#.##..#####........##.####.#####.######..##########.##...##.#####.#.##....#.......######.####..#
#.#...##.####....#####.#.##.#....#.####.###.#.##.##...##...###.###.#..###...##.##.##.#.##..#.###.#..##..#.#.###....#.##....###.....########.#.#..##....#.##...#.##.##.##.#.#.#######.#######.##.#.#####...#.#.#.##.##.#####.#..#########.#####.#..#.#..##.#.##.#.##.#.#.########.###...#.#.##..#..#.##.###.#.##..#.#.#.##...#.#.##.###.###.#.#......##..............##....####.##..#####...#########.#.#.##.#.##..##..#...##..#.#####.###.#######.#.##.......#.###.##...##..###..#..#.##..#..#.##.##....#.#.####.##..##.##..##..###......#.#####.##..##..##.#..##..#........#######.####..###.##.##.#...##.###.........#.####.#.##...#.#.#.######.##.#####...###.##..#.#..##......#.####.##..##..#.##.#....##.#.##.#####..#.#.##.##.#.##.##..##.#.##.##.##########.#######.#.#..........#######.##.#...#.#...###.#..##.#.#.#####.####.###....##.##.#.#......#.....##....####..........#..##.##......#.####.#.#####.#.####....#....##
####.##..##...#.##..##.####.##.#.#.#....##..#.#..##.###..#.##..##..####...#.#..##.#..###..##.##..##.#..####.#...##.#.#..##.#...###...#.#....####..####.###..#.#..#.####..#.#....##....##.##.........##..#.#.###.##....##.##.#.####..#....#.......##.##..###.######..###..##.#.....######.#.###.#.##.....##.#.##.##.#.#.#..#.#.#..###....##.#.##.#.#.##.##.####.#.#.##..##....#..##...##..####........#.#..#.#..#.###.##.#....####.....##...#....#.######.#.#.#..##.########.#######.#.###.#.##.##.##.#.##.#....#..##.##..#.####.####.#.#......#####.####.##.##..##...#.#.#.##.##.#.....##...#..#.####.#........##.##.#.#..#.#.#..##.##.#.#......#..#.......####...##.#.######.#.#.........######.####.#.##..#.#..#.....##...#..####.########.##.#.#...#.......##.........###.#.#.##.######.#.##.####.#.###.#...#.#.##..######.##...##...##.###..##.#.##.#.###.##.####.#....##.#######.####...###.##.#..##..#.....###......##.#.#####
##...###.#..#.#..##....##...##.#.####.#..##.#.#.#####...######..##.###..###.##..####...##.#..##.##..##....#####.##.#.##..#.##.##...#...####.##.##..###.##..##.#.##..###.##.#.#######.##.....###.#.#..##.#.#.##..##.##.....###....##...#######.##.####..##....##..##..##.##....###.....##.#...#.#..##.##.#..###..##...#.##.#####.##...##..###.#..#.###..#.....#####.###.##.#####..#.#..##....###.#.##.#.#.##.#.##.##...#.#.##....####.####.##.#######.#...#.#.#.##......#.#........###...###.#...#.##.#.####.#.##.##...#.##..#.###....###.#.####...###.#...####.##..#.#####.......#.#.#.#..#.##.#..##..#.###.#.###..########...##.##.######.#.####.####.#.#....###.#..#....##..#.#.#.##.######.##..##..#..#.#####.#.##.##..#.#.##..........##.##.#.##.###.####..##.#.#.##..##.###.#.....#...........#.#..####.#####..##..#.##...#.#..#.####...##.##.#..#.#......###....##.#..........#..###.#...#######..##.##.##...##.#.###........#
#..#...####.#.##.#..##.#..#..###..##..##.#..#.####....#.#.#..##.##...#.##....#.###.#.#.#####.##.##.####.####....##.#.###.#########.##.##....#...##.#.#.##.##..#..##...#.#..#....##....#.##.####.###.##..#.#..#####..##.##.##..####..#.#.......##.#.#..####.#..#.###.########.##...#.#..#.##.##.#######..##..###..##.####......#..##.##..##...##.#...##.##.#####.##..##.##.....#.##.##.##.#.##...######.#..#.#.#...##.####..#.##...##.#...........##....#.#####.###.#.#...###.#.####...#..##.##.#######...##.#.##.###.#####.##.##..##..##.#......#.....#.#..##..###.#....#####.####.######.####.#.##..##...#####.#####.#..##.#..###......##.#....#....#.#.##.#.##..#.#####.###.###.#.##..##.....#.###.##.##.....#.#.##########..###.####.####..###.##...#.#####.##.###.##.##....###.#####.##############...##....##.####......#.#.#.##.#....#..###..#.##.##.##.####.##.####.#.#.#.#.###...###.#...#.#.#####.##..##.##..########.#.###
#.##.#...##.#.#..#.##..#.###...####..###.#######.######.....##..##.#.###..##.#.#.#...###.#.#.##.#....##....##.#.##.#.#.....#.#.#....#.##.#.##.#........##.#..##.###.#.#.##.##.#..###.##.#..#....##..###.####.###.#.##..##..##....##.####.####.##.#...##.#..##.....#...###.....#.#.###.##.#...#.#...##..####...#.##..#.##.#.#.###.##.#..####.###.########.........#.#####..#.#########.#..#.#..#.##.....#########.##.....#.#####.#######.#.#.#.#.##..#.##.....#.#...#.##.####.####.##.##.##..#.......##.#########.#.....##..##....##..##..#.#.#.##.#.#.###.####.#...#.##...###....#...##.#....###..##.##.####.##.##......##..#.####.#.####..##.###.#.####..######.##....####.#...###.##.###.#######.###...#.#########........##.##....#####.#####..#..#.#.....###...##.##.##.##.##....##........###..#.#######.#.##.##...##.#####.########.#######.##.####..####..######....#.#####...#######.#.#.........#####..#..##........#.#...#
#..#.##.#####.##.#.#..##..###.###.##.#...##..##.........#.########.######..#.###...#.##......##.#.#.##..#.#####.#..#.##.#.##.#...#.##.##.######.##.#.#.##.####....#.#.#.##..#.#.##...#####.###.####..##.##...#.....###..##..#.##..#.##.###.....#####....##..##.##.#.#...###.#####.###.##.#.#####.#....##.###.##..##...##.#.#####.#..##.#....##....##.#...####.#.##.##....#####...###..####.#.##.#..#.#.....#.#.#.####.#.###...#####.#.#####.###..##.#..##.#######.####..##....#....#..#..##.##.#.#.##....#.#.#.#####.#..##..##.#.##.###.##.#.####.#.#.#.....##.###.######...##.#.#####....####...##..#...........##.###########....#..####.#..#####....##......#.#..##...##...###...##.......#.##....##.##.####.#.#..#.######...##.#...........#.###.#.##.#######.##..##..#..#..##.###..#####.##...##..###.####..#.###.##....#######.##.........####....##....##..#...##.#.#.....##.####...###.##.##.#.#..##.#########.#.##.##.##.##
##.#.##.##....#..###.####.#...#......#.#..##....##.##.#.#..##.......##.###.#.##..#.#.#####.#.####.#..##.####....#.##.#..#.#....#.#..####.##.##...###.#.##.#....##.#.#.#.###.#.#..##.##......##....##..#..#######.###...###.##..##.###..#...#.#..##...####..##...###.##.##...##......#..###.#..#####.#.#...##..##.###.###.#...##..#####.##.#.##.##.##...#...##.#..#..##.#.......###.##...##.#..#.##.#.#.#.#.....#.#....#.....####..#.#...##...##.##..#.##..###.##..#.#######.#...#.##.##.##..#..#.#..##.#..........##.##.#..###.#..#...###..#....#.###.##.#.##..#........#.###..#.....####...####..##.#.#.###.#.#............##..#.###....#.#.##..##.####..##.########..#.#..#..##.#.##.#.#.###.##.####..##........#.##......##.##..##.##.####.#####..#.#.......##..##..####.#####......###.####..###..##.#.#.#######.#..##.###.###.#.###.#.#.#.###.#.######.####.##.######.#.#####.......#####..#..#.####..#.###.#.#############...#
#..#.##..#######.#.....##.###.#.#.#.##.#.##..#.##..#..#.#.###.#.#.#......###..####.#.#.###.###.#..##.##.#....##.#.#..#.#####.#.#.#####.###..#..#.#...#..####.#.#..#####.#...#.##.##..###.#.##..#.##..#####.........##.##....#.##....##.#######.#####...##.##..#..##.##.##.#.###.#.###.##.....##.#...#####....###..##...###.###..##.....#..#.#...#.###.###.###.#.###.##.#.#.#.#.....####.####.####..#.#.#.#.##.##.##.###.######.#.##...#####.#######.#..##...#.###.#.....##..##.####...#.###.##.####..###.##.#######...###.###..#.###.#####.#.####...#.##.#########.##.###...##########.##.#...##.###.#.#...#.#.##.#.###.#.#####.####..#.####....##.....##..###.##.####.#.#.##.#####.##.#.#...........#.##..##.#.#....###.#.##...##.##.#####.#...#.#.##.#.#.##.##..####.####.....##.#.#......###.##.##.##.#......#.##...##..........#...#######.....#...#.#........#.#.#.##.#...#########.....##.#.##....##..........#..........#.#.#
##.#.##.##.#.##..##.#########.###.#.#..#.###.#..##.#.####...###.#.##.#.#.####.########.....##....##...###.##..###.##.#..##...#.#.##.....###...######.#.##....#.##.....#####.#.##.#..####.#..##.#..##.....####.##.#.##..#.#.##.##.#####.####.#...##.##.##...##.##.#...####.#...#.#...#.####.#.#....####.####.##...#####...#...#######.#.##.#.#.###.#.....#...###...#.##.#.#.#.#####..#####.......##.###.#.#..#..#.#..#...............#.#####......##.##..#.#....##...#.#####.#..#..##.##..##.##....#.##....#.......##.##...##..##.##......###....##.##..####.#.#.....#..##.###.#........##.#.#.##...#.#.#.#.###..#.#..#######.....##..##.##...######.#.####.##........#.#####....##..##.#.##.##.###########..#.#.#.##...######.#.#..##.......###.#.###..#.###...##....#....##.##.#..####.##.##.#..#.##......######.###.##..#.##.#.###.####.#..#.##.##.#...###.#.##........#.#.#...#######.########.###.#..##.#.##.####.####.#.#####.#
####.##.#.....##..#####..##....##.####.###...#.#####.#....####..#.#..#.#...####...#.####.#.####.####.##...#..##....#.####..###.#..###.#.....#....##..#..###.##.#..#.###.....####.##.#....#.##..#.###.##.##....##.#.#..##.#.#...#.#............###......###..#..####.####..#.#.#.##.##.#....#.##.#.###........#.####.#..####.##...#######..#.#..##.###.#.##.##...#.#.#..#.#.#.....##....##.#.#.#.##..##.#.##.#.#####.#.##.#.##.##.#.##...##..#.####...##.#.#.##.##.#.#....##.##...#####..######.#########.##.##########..#..##..#.###.#.#####.#######..###.......##.##.##........#.####.##.#######.######.#...#.##.##...#.#.###.#####.#####.#......#.#....####.####.#.###.....######.#..###...#......#.##.#.####.#..#.#..#.#.######.#..#.#.#...#....##.##.#########.####.##########...##..#....#.##....##.#..........#..##.###..#............##########.#######.###.#.#########.###.....#.....#.#....#.#.##..#.##........####....####
#.....#######.#..##...##.#..#.###.##.#######.###.....#.##.#....#####.#.#.#..##..#........#.#....#..###..#.#.####.#.#####..##...##.#...##.##.##.#####.#.##....###.#####..#.#....#.####.#.##..####...#.##.##.##.##.###.########.##.##.###.#.###...###.#.#######.##.......##.#.#.#.#...######.#.#..#...##.#.##.##..#.#.##....######...###...##.##.##.#...###..##.#.###.#.####.###.#####.#..###.#.#..##..#.#..#####.##..######..#..#.#.##.###..##....#.#.##.###.##..###.#.#####.#..#..#.##.##.###.......##....#.....##...#.###.##.##.#...#...#.###.....##...#####.#.##.#######.##.###....#.#.......##.#.#.#..###.#######.###.#.##......#.....###.##.#####.#####......#.#...#.#.#..##....##...##.##.#.####..#.###.##.#.#####...#.##.#.#.##.#######.##.###..##...#####.....##.###.##.#.#.###..##.##......##..###.#.#.######.##..####.####.#.##.##.........##...#.#.....######..##..#####.#######.#...##.#####.#..##.##.##.#.###.#####.#.##
###.#####.###.#.#####......##.##..#...........##.##.##.##.#.#.##.#.#.#.#.#.####.#.#.##.#.####.#...#####.#.#.##.###.##....##..#..####.##..#..#..###...######.###...##.##.#.#.######....#..##.##...#.#..#.####...#.#.........########.#...#.#...#.#...#..#....#..##.#.#.##..###.#.#.#...##...###.####.##.#.#...##.....###.#......##.##...#.##.##.##.#.#...##..###...#.####...##....##..#.##...##########.##..####..##.#......###.#.#.##...######.###.#..#.##...##...#.#.....#.##.#.##..####.#.##.###.##..##.##.#####.#####...##..#.###.#.#.......#.######.#######.##.......#..#.##########.#.#####..#.....##.........#........##.#.###.##.###..#.....##.......###.##.#.#.#####.####.#..###.##.####.#.#..##.##...#.#..##...#........#.#...#.#.############..#.....##.#.###..........#.##..##..#..#.#.####...################.#......##.####..#.##.########.##...#.#.##...##..#.###..........###.####..#.########.##.#######....#####..#
#...##...........##.#####.###..######.#.####.##..##.#..##.#.#......#.###.#..#.#####.##.#####..#.#.##.##.#.#.#.......#.#.####.#.##....#####.###...###..##....#...#....##.#.#....##..##.#.#####..#.#.#.##..####.######.##.#.##........##.##.##.####.#.##...#.#####..#.#.###.#...#.#.#.#..##.###....##.##.###.#..#.#.#..##.#.###.##.....#.#..###...#.#.#.#.#..##...###....#.#..##.#.##.##.##.#.......##....##..#.##.####.###.###..#.#.##.#......#..##.#.######.##..#.#.#.########.#....####.........#..##..####...........###.##.####...#.##.########..##..#........###.#.#.#.##.........##.#.....#.###.##..##.#.#.#.##.#.###.##..#..##..#.#.##.##.####..##.#############..#.#...#.#.##..##.##..##......##.....###.#.##..#.#.#.#.#.######........#.##.#.##.##.##.#####...##.#.#.##.####..####.#.#######...#....#.##.....#.#######.###..##.##.#.##.......##.##.#.#.#....#####.....#.############....##.....#.###..##.....#...####..###.#
##.#######.#.#.###..........#.##......#.###...##.##.##.#..#.######.#####.####........###.....##.#.....#.#.###.#.#.#.#.#.#.######..##.#.......##.##...####.#.#.#.#.##..#.#.##.#.##.#######.....##.#.#..####....#.#.....#.####.######.##.##.#..##...####.######..##.#.#.#...##.##.#.#.#.###.#...#.##..##.#...#.##.#.#.##..#...###..#.#.####...##.##.#.#.#.#.#####...######.#.##..###...#.##.#.#.#.######.####....#....#.###...##.######.###.#.##.###.###...##..##.#.###...#.###..#.##....#####.##.##.######....##.#.#.##...#.#....####.###.......##..##..##.#.##.#...#.#.#.#####.#.#########.#######.#..#.###.###.#.##.#..########.####.#....#.#.....##.##.......#.##.##.##...#...#.#..##..#..####.#.#....###..#######.##.#.#.#.#..##....#.##.###..#....###..##..##...#..#.#.#.##....##....###.......##.#####......#.#...#.#.....####.....#.#.#..###.###...###.#.#.##.##.#..#.#..............#.##..#.##.##.#.######.##...###..##..#..#
#..##......#.#..###.######.##.##.##.#.###...######..#####.#....#######.....###.##.#.#####.##..#.##.########...#.#.#.#####.#.#.###.#..##.#.#.#######.###...#.#.#.#..#.####.##.#.##..##..######.####.##.##.#.##.#.###.###....###......##.#..##.###.##....##.#.##..#.#.#.###.#...#.#.#.#.##..##.##..##.######.#..###.#..##.##.#####.###...##.###...#.#######...##..#......#.#..##..###.#####.#.#.####.###...###.#...######...#..#...##.....#####....#.....#####.##.#.##..#.....##.#..##.#..##...##.##......###.##..#.#..#.######.###.#....#.##.##....####.##.#.#..##.##.#.#...##..#......##.......##....##.##....#.#.#####..##.#.####.##.##.######.#####.#..#.#.#......#######.##.####.#######.##...###.##...####.#...########.#.#.##..#.##..#.....##.######.####..#.#.#.##.###..##.#####.#...#.#.##.##......#.#.##########...#.#....##.#.##.#.##...######.####.######......####.#####.######.#.###.#.#####.....#.##..###.....###.##.##
##..##.#.########.###.......###..#..#.##..#...#.#####.....##.#.......##.#.##...##.#.##....##.##.##.......####.#.#.###.............##..###.#...##......#.#.#######.#######.####.##.####......#..##..##.#....##.#......#####.#####.##..#######..##.##.##......###.########..##.##.###.#..#.##..#..##..#......##..#######..##....##...##.##..##..#.#.###.....#####.#.#.#######.###..##..###..###..##......###.#.#.#...#..##.###.#.###..#.#.....#.#.###.##.....#.#..#.###.#.#.#.##.#.##..#.##..#..#..###.#.##....############.#....##...##.#..#####.#....#.##.#.##.#...#.#.#.#..##.##.###..##.##.#..###.##...####.#.#....###............#.##....##...##...##.#.##########.#..##.##.##.........###..#...#..###..###...####.###########..##..##.###.#.........####...##.#.#.#######.##..#.#..#.#####..####.#.####.###.#.....###.##.#.#####.######.#..#...#..###.......##..#.##.#.########...#.####...###...##..###....##..##.#.###.......#
#..#####.#..#.#.#.#######.#...##.##.###..##.#.....#######.##.#.#.###..#.#.##.#..#########.#...###..#.#.###....#.#.##..##.#.#.#.#.##..##...#.#..##.##.##.#..##........##.#.#....##..#####.##...###.######.#.##.##.#.#.#.#####.....#..####.#.#.##...#####.###.#........##..###.##...#.##.#.###.#.#########.#####..###....###.##.#..#..#####..##.#.#...####.###.#..#.#.......###...####...##.####..##.###..##...#.#.#...##....#.#.##..##.##.##.#.#####.##.#.#.####.#...#####.#.##.#..##.#..##.#.###...###..#.##...#.#.##.#.#.##.#.###.##..##..#.#####.###.####.####.###.###.####...#...##.##..#.#.##....##.##..######.#..##.#.#.####.#####..#.###.#..#.#.#..#.##.###.......#####...##.##.#.#####.##.####...####...####.#.#.#.##.#..##.##.###.#...#.#.#.#.#..##..#..#.#.#...##.....#.##.#.##....##.###.###...##..##...#.#..####..#..##.#....######.#.#...###..#.#.#..#.##.#.....##....###......#.#####.#....####.#.##..##..#.....##.##.#
#.##.#...##...............#.####.##..######.#.#.###.#.#...##.#.#...#.##.###..#######.###..#.#..###.#.#####.##.###.###.#..#.#####.#..####.##.####..#...###.####.#.#.#....######..##..#.######.##.###......#.#...#####.......###.#.#.##......#####.##.......#...#.#.#.####.#....#.#.#.#..#.#.###.##..##....##....##.##.#.##...#.#.#####.....###.#.#.#...##.#...##.###.#.#.#.####.###.##.##..#....###.#...#####.###.###..##.#.###.##.##..##..#.#...##...#.#.#..##..#.#.....#.#######..#.##.##.#.##..#####.##.#..#..........#.##.#.#.#..##..##....###....#..##...##....#.##.....###.#.#.##.##.##.#..##.#.##....###.##..#.##..#.#....#######.##...#.#.##.#.##.#........###.###..####.#...###.....#.#.....##.###...####.#.#.#.#.##...##...#...#####.###.#.###.####.#.####.###.#..#.#.#.##.###..#.###.#.#...##.####....######....##.##....####.#..##..#.#.###.#.##.#.##.###..#.#.#....#.###########...#.#.##.#....#.#..#.####.#.##.###..#.#
#.##.#####..##.##.#.#.#.#.#....#.#..##.#....###.#.......#.##.#.##.#####.###.###...#......#####..##.#..##...##...#..#####.###.....######..#...#.#####.##.....##.#.####.###..###.####.#.....##......#.##.#.#.##.###....##.#.##...#.#..##.#.#.###.#..####.####.#.########...#.#.##.#.#.##.#.....#####..##.#..####.....###..##.####..##...#.#.##..#.#.#.#.##...#..#.#...#.#.###....#.#.##.###.##.#.#.#.###.##.##..##.###.##..#...###...##.#..##.#.###..#.###.##..##.#.#.###.#.########.#.##.##.#..##.....#.##.#.##.###.#.##....#####.#.######..#.##.###.##.####.####.###.#..#######.#.#..###...######..#.###.#.#.#.#####..##.####.#.###.#.#.###.####..#.####.##.#.###...#..##.##.#####.##...#.###.##.#.##......#.##.#.#..........###..###.#.#.......#.#...#.#.##.#....#...####.#.###......##.#...#.....#..#.#.#..##....#.##.###..###.######...##..####.###.######.##...##.#.###.##.#......#.########.###..#.##.####.#.#.##.#.##...##.#.#
#.#......#####.##.#######.##.#########.##.#...#####.#.#.#.##.####..##.###...#.#.#...#.#.##.....#####.#####.#..######.#.....##.#.####.#..##.#...##.....##.#####.#.##....###......#.#.#####....##.#.####.###.##.##..##..###..###.####.######.#.#.#.##.......###...##.#.###.#.#..#.###.#..#.######.###....##.####.#.#..##.##.....##..###.###..##.#.#.###..##.#####.##.##.#..###.#.....##..#######...###......##.##....#.#..##.#...##.#####.#####...##.#####.#..#####.#...###...##.#.###.##..#.#.##..#.###..#.#.##...#.#.##.##..##........#.#.##.....#####..##....##.##..##.......#.#.##...###..#.######..##.#.........#.###....#.#.......#..########.###....##.#.##..####.........##..##.#.#...#.#..#..##.#####........##########.########.#####.###.#.#.#....#.##.#####..##..#.##..##.######.#.#.#.#.#.####.##.##.##....###.####....##..#.#####..##....#.##.#...##.#.##.#..##..#.##.#####....##.#...##.####..##.#####..#.#..##.###.#.#
#.#.##.####....####.......##....#.#.......#.#..#.#..#.#.#.#####...##...####...#####.#####..#.#...##...##...##....##....##.##..#.#......##..##.######.##....##..#.###.#.#.#.#.#.##.....####.#..#.#.#.....##.##.##.##..#####...########.#.#.........####.#.#####.###....##.#.##.#.######.#..##.#..#.####.#..#....#.#.#######.####..###..#...##..#.#.#...##..#.#.###...####.#...##.######...#.#...#...###.##..####.#.#####.#..#.###....###.#.###.###......####....##.#.#######......###.##.##.#..##.#...#.##.#.##.#.#.#..#..##..###.##.#...######.#..###..####.#.#...##..##.###########.######......##..###.##.##.###.#...###.####.#.#.###.##.#.#.####...##.##.#..##...###.##########..#.#.#.######.#.##......#.#.#.##.....#####........##.#.......#########.####......##..##.###..##.......#.#.#.#.#.#...#...#.#..###.####...####.#....#####.#######.#......#.#.##.#..###.##..##.##....##.##..#.#.#..###.##.##...#.##.#####.##...###.#
#.#.#.......#.##....##.##..##.###.#.###.###.#.##...##.#.#..##...#....#..##..#.##....#.....##.#.#####.#########.#######.##.###########.####.#..#.##...###.#..##.###.#.#...###.####.#.#.#....#.##.#.#.#.#######.##..##....########.#.#......####.#.##....#.....#.....#.#####.####....##..##.##.##........####.##.#.#.##.#.......####.#####.##..##.#.###.###.......###..#.###.#.##......#.#...#.#.#.#####.##.####..#..##...##.#.##..#.##.......#...#.##.#..#.#.####..#.#.#...##.#.#...###...#.#.##..#.###..#.#..###.#.##.##..####.#..#.#.#......#.##.#.##...##.###.#..#.##............#......##.##.####.##...#..#...#.#.#...#..##..#.#..##....#...#..###.##.#####.##.#..##.........##.##.#.#.##.#.#.#.###.#######.#..##.##.......#.#.#.##..#####.#..#.#...####.###.##.##..##...##.##..#.#.###.###.#####.#...######.#.#......#...######.##.#.#.#.#.##..#.#.######..###.##....#########.#....#####...######..#.#..###.##.#.######.####..#
#.######.#.##..##.######..##...##...#....##.#.##.#.######.###.###.#.##.##..##.##.#.###.####..#.###.....##......##.......###.##.#.........####.#.#..#...#.#.#####.....##.##...##...###.##.#.#..###.#.#..##.....##.####.###....#.#.#.#####.#####.#.#..#.##.######.#.##....##.#....######.#..#.....##.###.##....#.#.#..#.####.#######.#.#.#..##..###.#.....#.#.########...##..#.##.##.######.####.#.#......###..##.#.####.##..#..####.##.#.#########.##.#.##.....##.##.....#..###.#.#...#.#.###..##.#...####.######.######..##......##.#.#.#.#.##.##....###..#.##..##.#..##.######.##.#.###.##..####..#.#..#.##.#.#.######.#######.########.#...#...##...##...#.####.#.#####.##.##..####.#.#.##.....#..##.#.##.#####.##..#.####.######..####.....####.#.###.#...##..#..##.##.#..#..##.#.#..##.##......#.#.#.##.#.###...#######.##.##...............##.###.###.##.##....##.#......##.#.##.#...#...####.#.#.#####........#..#.##.....##.#
#.##.##..#.###..###......####.##..#.#.#.###.#.####..##....##..##..###...##.##..###...#######.#...####.########.####.#.#.#....#.#.####.##...##.#...####.#.#.....####.##...########...#.#..#.##...#####.#######.#....##...####.............##....#.#.#####......###.###.####.##.#...######.#####.##..##...##.#.#.#.##....##...##...........####...######.##.#....##.##.#..####.##.##......#.##...###.#.##...#.###.#.##...##.##.##....##.#...##.###..##.#####.#.#####..##.##.##...#.##.##.#..##.###.#.#.##.####.#.#...#..#.###.#.##..#.#.###.#.##..#.##..##.##.##.#####.###......#..###..##..##....##...##.#.##.#.#.....##......##...###..#.######.##..#.#..#....#.#####.#....#####....#.#.#.#..#.#.####...........####.##....#.....##.##..##.##...#..........#..###########.#.##.#######.########.####.###.......####.##.##.#....#######.##.#.#.####...#......#..###.#####.#.#####.#.##.###...#...........##.#.##.#.#...##.###.#####.#
###.....##.#.#.##...#.#.##....##.####.####..#.#....##..##..#.####...#####...##.##..#.#.......###..##...#.#.....#....#.#.####.....#.....##.###.#.#.##...###.#.#..##...##.##........#.#.##.#.##.#....#####......##.###..#.##...#.##.#.##.#..##.#.#.#..##...#.#.##.....#.##.###..#.#..##.####.#...###.###.##..#.#.####.######.###.##.#.##.#....#.#..##....##.##.####.##.##..##..##.##.##.###.#..#..######..#.....#.#..#.#.##.##.####.##..#.#......##.##.##..#.#.#...##..####.####.#######.#.#####...#.#.....##......#...####.#.#.#..##.###...#..##.#.###..#..#.#...#.##.##..#.#####..#####..##..######.##..#..###.##.##.##.#.#####.#...##.......##..####.#.##.##.........##.#....##.#.##.######.#.###....#.###.#####.....#.#.###.########.##..##.#...#.##.#.#.######.#.#.#.###..#......##........#...#######.##.###..........##.#......##..########.##.##.#.#.##.##......##.#...#.#.###....##.##.#.#.##.#.###.#.########.....##..###..#
#...##.###.#....#.#.#.#..######..##....##..##.####.#..##..##.##.#.#..##...#..#.###.####.##.#...#.#####...##.#.##.##.#.#.#....#.#.###.###....#.#.####.#..##.#.##.##.#.########.#.#.######.#.##.#.#.##...####.#.#....##.#.##.###.#..#.#..#.##..#.###.##..#.#.#..####.##.....##.##.##.##.#.#....#...###.#.###.#.#..##....#.#....######.##.##.###.#.#####.##..#.......##.##.####..#.##..#..#####.#.##......##.#.#.#.#.####..####..##..###.#.###.#.##..##....####...####.###.#..###.......###.....#.#.#######..###.##.#.#.#....######..#.###.#.#.###.###.#.#########....#####.#....##.##...##..##.....##.###.##..##.##.####..#.....#.#.#####.#.#.##..####..#..#.##.##.#######.#.####..###...##....#.######.#...#.##.####.#.#.####..#....#.#..##.##.##.#####.#.#..#.#...#.#.....##.#.#.##..##.###.#.#.#..##..##.####...##.##.#.#####.##.####.###.......##..#####.######.#.###..###.....######..#..#####..#.###.#.#.......##.###..####.##.#
######.##..##.#.###.#.##..#.#...#####.####..#.####.#####.##..#....#.##..#.#.####....##..##.#.#.###.#...###..####.##.##########.####....##.#.###.#....#.###.#.##.####..##.#.##.###.###....#.#..#.#.####.####.####.###..#..####..##.####.#..####...#####.#.###.##.####..###.##.##.##.#....####.###.##.....##.#.#.##..##...##.####.##..#..##...#.#...##...#####.##.#..#.##..#.##.#.##.###....##.#.#..##.#.##.#.###.#...##.###.##.##.##.#.#...###.##.##..##..###.#....#...#.##...#.#.#.#####.#####.#.....##..###...#.#.#...#.###.##..##.#...#.#...#.###...#.##.##...##...##..#.#.##.....#####.##.#.####..##.##.##..#..#..#.##.#.#####...#.#.#.#.##.##....##.##.##.##....#.#..#....##...###.##.#.####.##...#.###......##.###.##.##...####...######.##...#.###.##...#.###...########.#.###.##..##.#.#.##....###...##.###...###.#.###.##..##......##.######.....#..##....#.####..########...##.###..#.##.##.........###.#..#...#.###....###
#.......##.#..#..##.#####...#.#.##......##.####........#.##.###.###..##.###..##########.#..###.....#.#...##.#....##.#..##......##...##.####.###.##.###.##..######.#..##.......###...###.##.##.#.#..##.......##.....##.##.##...###...##.####.##.###.....#.###.......#.##....#######.####........######.#.##.#.#.#..##..#.##.##....##.##.##.#.#.##.##..#..##....#.#.##.#..##.#..#..#.#...#.#############..###...#######..#...##.##.##...#.#.##..######..##...#.##.###.#....#.#####.###.#.###.#####.###.###...#####.#.#.###.##.....######.##.#.#.#.#...#......##.#..#.#..####.######.#.##########..##..##..##..#####...#####.#.....###...#####.##.##.##.##..###...##.#...##.#.######.##....###...##....#.#..##.#.#.###..##....##.#......#......###..#.....#.##.#.......#.......##.#..##.##.##..###.##.#.##.###..#####.#...#.....####.####.##.###.....##.#.#.#.#####.##....##....#.###.####..###....###..#.##.#.####.#.###.##.#.#.#.####
#.#.#.#..####.##.##..##...#.#########.#.##....##.#.##.##..###...##..###...####...####...#.##...##.######.##.##.###..##....#.#.#####.##...##...###....#####...##.....####.##.#...###...######..#.#.##..#.##.##..#.###..##.####.#...######.........#.##.##...#.#.#.#########.##......##...#.#.#.###.....#..###.###.####.#.##....##.####..##.#####..###.##..###.############....##.######.#...#####.##.##.##...###....###...####..###..###.#.###.#.#..##.##.#.#..#.#...##.###..##..........##.#..##...#..####.....###.#...#.###.##......###..#.#.#####.#.####..####.####..###...#..#.#...##.##.##.####.###..#.#####..#.....#.#.#.#..##.#....##.##..###...##..###.##..##.###.#......#.##.####...#..##.#.#.##..#.###...#.######.##.##.#.####.#.#...##.##.##.###..#.##.##.#.##.####..#.##..##..##..##.##.#......##.##....#.#####.#..##...#.#..#...##.#.###.#####..#.#...##.####.##.......##.##...##.#..##.##.##.#..#.###.#.#.##.....#..#.#
#.###.####....#..##.#####.#.##....###.####.####..#.#..###..##.#.##.##...###..###.#....###.##.#.##....##..#..##.##..##..#.######.....#..#.##.#.####.#..##...########....#.####.#...##.###.##..####..######..##.##...##..#..#######..##....#.###.#####...##.######.......##..##.#.#.##..###.###...####.##.###..#......#.#.##.#.##..#....##....####..##..##...#.#.#..#..####.##..###...##.#.###.#..........###...##.###.######...#########.#...#.....##...#.#.##.###.#.##.###.##..#.#.#.#####...##..#.##....#.##.##...#.#.#..##.###.##.##...####..##...#...##.###......#.##...#...##.######....##.#.##..##.##.....##.#.#######.#.##.##.#.#.##..###..####.###...#..##.#....#.##.#.###..###....#.##.##.#.#.##.##..##.###.....##..#.##.#....######.###..#.##...####.#####.#..#..####.#..#.##..####..#.##.#.######...##.#.#.....#.######.##...######..#...####.##.##...#..#.##...##.#.###.....#.#..#######..#..#.##....##...#######.#####.#
####..##.####.##.##..##...#######......##.....##.#.##..##.###.#.##..###...##.#.....##.#...#..#####.########.##.#..##..######.###.##.##.###..#.#....#.##..#..##......######....#.###......##.##.#######.###.##.#..#####.####..#....###.##.#.##..##.#..###...#####.#########.##.###..##.##..##..#.#....##.#...###.#.##########.###.#.##..##.#.#.#..##..####.##.....##.##..#.##.######....#..##.##.#.#.#.###.#.#.............##.###..#.....##.###.#.####.#######..####.##...#..########.......###..######.#.#.##.##.#.#.####..#..##.#...##.##.########.#.#.##.##..#.#.##.##.#.#.#..#........####....###.##.##.##.##..#.......#.#.#...#.#######...##..##...##.#.#.##..##.#.#.##.#..###..##.#.##.#...#.#.#.#...#.##....#.#.#########..#.##....#.###...####..#.##.......###.###....####.#####...#####.#..#......##.##..#.#.#.#######.#...###.#.#.#####.#.......######.#.#######..###.#####.###.##..#.##.##.##.#.##.#######..##.#####.....#
###..##....##.#####.#####...#.####.##.##..#.#.##.#..##.##.##..#.#..##...#.##.#####.##.#.#.##...##......##...##.##..##..##.#......##.#....#.##.##.#.#.#..###..##.#.#....##..##.#...##.###.##.##.............#..##..##.###..##.##.#.##..#..#####....##..###.##.#.###.####.####..#...##...##..##.#.#.#.#######.##..#......##.....########..#.###...#######.#.##.#.#.......##.#..##.....##.####.....###.#.##....#.#.###.#.##.##....##...###.##.##..#.#.#......#.##...##.##.#.##....##....#.##.####.##...##.#.#######.#.#...###.##..###.#..#.#......#.####.###..###.#.#.##..#.###.#.###.#.#.#...#####..##.##.##.####..##.############.##.......#.#..#.##..#.##.#.#.###.#..######.##..##.#####.##.#.#.#.###.##.##..#.#.####..##.....##.#..##.#.....##.##.###.#####.#.######..#########..###.#.#.....###.##.#.##.##..##.#.###...##..#.###.##.......########.#.####.#...#...##....##......##..######.......#.##.###....##.#####......###.###
#...######....#.#.....###.###......#..##.##.#.##.##.##..#.##.##.##..#.#.#.#........##.#.#..##.##..#.#.####.##..###.#..##....###.###.##.###.#..##.#.#.#.#####.##.#.##.#####.##.#.####...#..#.#..###.##.###.###..##......##..#....#..##.##.##....##.##.##...#.....#.........#######..##.###.##..#.###...##.....##.#.###.####.##..###.....##.##..#..##........#.###########..#.###.#.#.#.....##.##.##..#.###.#.#.#...#.#..#####.#.####.#...##..##.#...##.#.#....##.###.##.#..#.##.##.#.##.#.....#....####.#.....#.###.###..##..##.##..##.#...#.####........##...#.#.#..#.##.#####...#.###.#.#.....##..###..##....#.##.........#.##...#.#.##.####.##..####..#.#.#..##.##......####.##....##..##.#####..##.#...#.##.#....####..#.#.##.#.##..##.#.###.....##...##..#......##.......#.##.....#.##.#.####.#..#..#..#.##..#.##..#..#.##.#######.#.####......#.#......##.##.###..##..###.######..###.##.####.#.##...##.#.....##.#.######.....#
##.##.#....#.##...##.##.....###.##.#.##...###..#.#...##.#..###..##.##.###.######.#.####.#####.###.#.#..#.#####.#.####.###.#.#...#...##..#####..#.#.#.#.#.#...##.####..##....###.###..#.#######.#...##.##..#.#.##..########...##.##.#####..##.#.####...###...#.#...##.####.....####.##...#.##.####...#####.#.##..#..##.##....##.#.####.######.##.#####.#.##.#.........######...#.###.##.#.###.#..##.####...######.########..#.#.#....##.####..###.#..#.####.#.####...##.#.##..####.#.#..#.##.###.####.#####.#.#.##....##..##.##.###..####.##....#####.#####.#.#.#.#.####..#.....###...#####.##.########.####.###..##.#.####...###.##.###....##.######...##.#.##.##.##.#.#.###.#.##.#.##..###..##...##..#.#########.#......####..#.########.#...###.#..#.#.##.###.##.####.#.##...###.####.##.####.#.##.#.##.##..##.#.##.##.##.........##.#......#.####.#.#.#.##..##...##..#.##.....#..##...#.##....#.###..#.##.#.#####.......#.##.####
#..##.##.#.#..##.##...#.#.###...#..#.#..#.##..##.###.##.##..#####...#...###.###..#.#....#.......###.####.....###..##..#.#.#####.##.####...#.#.####.#.#...#.#.##.##...####.#.#.....#.##.....##..##.##..#####....##.....##...###..##..###..###.#...#########.#####.##.....#.#.###....#..#.#.##...####.#.##..###..##.###..#######.#...##..#.#...##.##....#..####.#.####.....###.######.#..#...####.##.##...#......#...#.##.#.####.##.#.#...##..###..####.######....#.#..###.###.##.###.#.##.##...#........##..#...##.#.##..###..#..##.####..##.#.##.........#####.###....#.####.#.###.#..#.#...####.##..#....#...#.##..#....#####.#..#...##.###.......#.#..#.#..#.#..##.#####......###.##.###..###.#.###.#.........#.#.##.#...##.##...#.##...#.#..##.######..#.##..##....###..#.#...#....###.......#..#.#..#.##.#####..###.....#.#.#####..##.#####.####.#.#.#.###..#####..##..###.#...##..#....##.##########.##.#...####.####.........#
##..#.#..#.####...##.####...##.###.#.#.##..##..###....#.#..##.....#.#####.......####.##.#.#.#.#..##....###.#..###.#..##...##....##...##.#...#...############.##.###.##..#.#####.###..##.#.####.#...##.#.....#.###.#####..#.#...##..##...##.###.###..........##...####.###########.##.##.#.#..###.#..#....#####..###.#.##.........#..##...##.##...###.##.##....#....#.##.##.#.##.....##.#.#.##...#..####.##.###.#.#..........##.##.####.####...##....#...##...####.##..##..##......#.#.#..##.#.###.#.#####.###.###.#.##.##...##.###....##.######..#.#.#.#######.###.######....#...####.#...#..#.#.#..###.#.#.#.#.##.##.######...#.##.#.#######.##.###.#.##.#.##.##.##....#####.#...####.#...###..###...##.##.##.##.#.#####.########....##.##.#.##.......##.#..##..##.############.###.#####.#.##.#.##.#.##..#...##..###..##.####.....##.##..###.....#.#.#.#...##.....##.##.##...#.########.###....###..#####..#.#...##....#.##.#.####
#..##...##.##...#.##.##...###..##..#.#.#..####..####.#####..##.##.#..#######.#.##....##.#####.####..####.####..#....#####.#..##.#..#.#..#.###.#..##...###.#...#...#..##...#.......#####.#.##...##.##..#.#.###.##.....##.####.#..##.##.#....##...###.#.##.#.##..#....#..#.#.#.......#.#..####.#...####.#.##.....####.####.###.#.########.##..###.##...#...##.####.###.##....#####.##..#.#.#..###.##...##.##..##.#.#.#.###########..##.....##.#####.#.##.###.#....###..###.##..#.##.#####.##..#..####.....###.....#.#..#.####..#.##..##.##......#.##.#.#.#...#.###.......##.#.##.#....#.#.#.##...#...##.###.########.#.....#.#.###..#.#.......#.##..####.##.#..#.#...##.###.##..#.#....#.###...##...#####...#########.#.#.#...##..##########..#..##.#.##.####.##..##......###.#.#########....#..#.#.##.#..##.#.#..##.#.##..#....##.#.#######...#.#.#.#####.##.####.############.##........#...#.#.##.#.##..##.##.#.#....####..###....#
##.#..#.#..####.####.##.#..###.#..##.#.##.####.##....#.#.##.##.##.####...##..#.###.#.#..##.##...##.##..#.##.##.####.....######..##.####.#...####..###.......#.##.########.##.#.##...##..#..#####...##.#.#..##.#..#.#.####.#..#.##...####.#.####...#.#..###..##.##.####...#.####.#.##.##..#.###.#......#.#..###.#.....#.#.#####.......##..##..##.#..#.#.#.##..#.#...#.##.#####....#..##.###.##...#..#..#..##.##.#.#.#.........##..##..#.#.##.##..#.#..#...#.#.#.#####...#..##.#..###......##.##...###########.##.#.#.##...#########..###..#.#.##.##.#.#...#...##..##.####..###..##########.##.#...#.....##......##..#.#.#.......#.##.##.#.#.##..##....#.##.#.##.##.##.......##.####.#####...####.###.....#.....##.#......#.#....##........##.#.##..#.#.....#.##.#####.##.............#.####.########..##..#.#.##.##...##.##.#.#####.....#.#.#######.....###...##.......#.##....##.####.####.#######.#.##.##...###.##.#######...##.###
#####.#.##..##...##...####.#...##.##.#.#...##..##.#.##.......###....###.##..##...###.##.#.....#.######..............######.#######..#####.#...##.##...#.##.##.##.....##...##.#..##.####.#####....#..######.##.##.#.###......######.##....#.#....##########.##..##.##.#.#...##...#..#######.....###.#.##.#.##.....#.#...###.#...####.##..##..#####.######..##.#...#.###..###.####.#.##..#....#.#.##.#.##.#####..#.####.##########.###.#.#.##....##.######.#####....##.#.##..###.#####.#.#.##.##.#..###......#.######.#..###.##.#..##..##.##.#..###..#.#.#.#.#..##.##....##...##.....#.#.####..###.#.#.####.###.####.#.#.#.###.########..###.###.##.#.####..######...##.######....##.....#.#..##..#...#.#.##.#####.####.#.#.#.####..#.##.###..###..####.#.#.#.##.##.....#.#.##.##.#.#....##.........####..####.#...##.##..#######.###.####.........#.###...##.##..###.#....##.#.#.....#.##.#####.#.#.#.....###...###........##.###..##
#.##..####.##..#.#..#..#.###.#..#.##.#.#.#.##.###.###..##.##.#...#.##......##..#.#...##.####.##.....##.#.#.#.###.##..###.....###.##..##...#.#..#.##.#.#.#...#.##.##.##..#.##.#.##..#.#...#..####.#.##......#..##.###...#.##....##...####.####.#....#.#......##.##....###.######.##..##.....###.#...#..######.#.#.#.#.#..##.#.#....#####..##.#...###.#....#####.#.######........#.#..######.##.####.#.##..##...##.##.....###...####...#.#.#..##.##.....##....##.#.###.#.#####.......#.#.#.##..####...##.#.#.#......#.##..........##..######.#.#######.#.###.#.##...#.##.##.###..###........##...###.#....#######.##.#.###..#####.#..###...#..##..#.#...##.##......###......###.#..##.#.##.##..#####.##.#.##.........##.#.#.#......####...########..#####.#.####..##.##.#.###..#############.#.######.###...##.###.##.###..........##....##.#.###.##...#.####.###..####.#.##..###.#.#.###...#.#........#.#########...#.#.#.###.#.##..#
#..#####....####.##.##.....###.##.##.#.#.#..#.#.....##.#..##.#.########.##.#..####.#.#..#....##.########.#.###...##.##.#####.#......####.##.#.##.##.###.##.#####.##.###.#.##.#..##...#.#...##....#..###.##.#.##...##.#.####.#.####.##....##...#.#.##.###.##..#..##.#.##....##....#.###.#.###...#.#.##..#.#...#####.#.#.##....#.#.####...##....###.....#.##.....#...#..#.#.#.#######..##.....#.##...#..#.##..#..#####.##.....###.##.###.#.##.#...##.##.##.####..#...#.#..##...#.#.#######.###.######....#####.##.###..##.###.##.####..#.#.#.#.##...##.#..##.#..#.#.#..###....##.#####.#.#####.#..##.##.#####.....##.#...##.#.##....##.##.###..#.########..##.#.##..##.#.##...###.##..####.#..##.....####.##.#.#.#.#..###.#.##.#.#...##.#...##..###....####....##.##.##.#...##..##.#.###.#.###......#.#.######...#.##...##.#####.#..#.##.#..#...#####.##....#..###..##..#..##.###.###.....#.....#.#.#.##......####.#.###.####.....##.#
##..###..##..##..##.##.#.#..##.##.##.###.##.#.###.######.#####..##......#..##...####.##.##.#.##.....#.#..#..####.#..#......#.###.#.##....##.#..#.#..#...##.#.#.#.##..##.#.##.##.#..#.#.#######.#.#.##....###.####..#.###....####...##.##..##.####.##.....##.#####..######.####.#.#.#.#.###...#.#.#.###.#.###.##.####.#.####.##.#....##.#####.##...##.##..###.#.#.#...##.###.#...######..##.####..#.#.#########....##.##.###......#.##..#..####.#########....##.#.#####.###.#.#.#....##....####.##...######....#...####...####...#.##.....#.#....#.##.#.###.##.#.###.#####.#.#..#...#######...##..#.##.#.#.#.######.#.#.##......##..#.####.#######.....##..###.##.###.#..###...#.##.###.####.####.#..##...#.#.#.###.######..###.##.###.#.#....##...#.##.###.#..####..#.#.#..##..#.........##..###.##.#..#...###.#####.##.....####.########.#######.###..##.####...####.##.##...######.#.##.##.##.###########....###...#....##.##.##.#
###.....##..##..##..#..#.#.###.##.#..#...##.#..##.##.....#.#...##..##.#.#.##..#..#####..#..####.#.#.#...##.##....##.##.#.#.......#.#####.#..#.##.#.##.#.#......#.#..###.#..#.#..##.#.#...##....###.##.##.##...##..#####..##....#.#..#..##.####.#..#####.##..#.####..##.##...##.#.#...####..#.#.#.#.#...#...........#.#.#.....#.##.#.##..#.#...##.##..##.##...###.##.###...###.#..#.#######.#.#..####....##.....##..#.##.#...#.####.##.##.##.....#...##.#.#.#####.##.####.#.#.#.###.####.#.......###..###.###.##.#....###....###.#....###.#.#.####..###.#.#.#..#.#......##.#.##...#.......#.#..#.#####............#####.###.#.#.#####.#.#....#.#.##.########....#.##..#.##...###.##......##..#....#.####.##.###.###......#.#######...#.#.##.#..##.##.....#####....#.####.##..##...#.##.##..##...#......##.#########....##.####.#.......##.....#.....###..#.####.#..#.###..##.#......###.#####.##...........#############.###..##.##.#
######.##..######..##.##.#...#..####.##.##..#.##..##.###.#.#.#.#####..#.#..##.##...#######..##..#######..######.##########.#.#.#.#..##...##.#..#####..#.#.#.#.#####...####.#.#.#####.###..####..##.##.##.###.##..##.##..####.#.#.##.####..#....##.#......##......##.....#.#.##.###.####...####.###.#.#.###.#.###.#####.##.#.##.##.#####...##.#######.##.##.#.##..##...#.#.....##.....##....#...#####.######.##..#.##.##.#.#.###########...#.###...#....#.###..........##...#.#...#.#..####.##.#...##......##..########...##...#.##.#.###.###....####.....#.#.##.###.#######.#..#.####.#.##.##.###.....###.#.#.#.##......##.#.#...........####.#.##........###.####..##..#.#...#..#.###.###.###.#.#.##.####..##...###.#.##..#....#########..##..#..###.###.#.#########....##..##.####..##.####.##.#.##............#.#.##.......##.#.#.####.##...#.###...##....####.....##.#..##.###...#.....#.#..#.#.##.#.###.##....#########..#.####
##.....#..###.####..#.##.#.###.##..###..##.##.##.#######.#.#.###.....##.#.##...##.##.....#.####.##.#....##......##......######.###.##..#.##.#.##.....####.#.#.....##.##..###.###.......##...##.##...###..#....##.##....##.#..#.#.##.##...#####....###.#.##..##.#..##.#.##.#.##.#......#.#.#....##..#########.###...##..##.#.##..#..#.#..#.####..##.#.##..#.#..##.#..#.#.#.###..###########.#.#.#.#.#....##..#..##..#..#####.........####.##.#...###.#.##...###.##.########.#.#.#.###.####..##.#.#.#..####.######.#.##..#..#.#.###..#...#...####...####.###.###..#........##.####....#.#######...##.##..##.#####..###.##.##.###.###.#.#.#...........#.#.######.##...####.#.#.#.##.#...#.#.....###.#.##......##..#..##.#..##...##....#######.##.###..##.......#####.#.##.#..#####....##.##..##...#.#.##.#.#######.####.#..#.#.###..#.#.#.##.##.#########.###.#####..##.##..##.##...##.##.#.###.#.##.####.#.....##.####.#.#...#.##....#
#..#.#.#.##........##.##.#..##..##.##..##...######.##......#.##..###.##.#..##.###.#..###....##.....##.#.##.#.##.#######.........##.###.###..#..##.#.##.##.####.#.##...##.......#####.########...############.###..##.#....#.##.####.###.##.....##.##..#.###.##.####..#.####..#####.####.#.##.#..##.###.........#.####.#####..##.##...#.##....##.......#.##.####..#.######..##.#####...##...#.#.#.....#.####.##..##.#.###....#.##.##...##..####.########..###...#.........#.#.#.#..#...#.##.##.######..#####.#......##.##.##.#...####.#.#.#....#.#..##....#...##.##.#.#.###..##...#.##.......##.##..###..#.##..##..##.##.##.##..#####.#.##.#.#.#.#.######.##.####.#...##.#.#.#..#########.#.###...#..##.##.####.##..####..##.##..##..#.#.##..####..##..#.#.#.........##.##.....#.#.#######..##.##.#.##.#.......#...##.##.#.#.###.##.###.#...#.......##...####...##..#..##.##..##.##...#.#...#.#.##....###.###.............########.##
##.#.#.#..#######.###..###.##..##.....#####..##.##.#..###.########....####.####...#.##...#.#####.#..###.#..######.###...#####.###....#...##.#.###.####.......###..##.####.##.#.#...........###.##..............####..###.##..#.###..#.##########...##.#..##.##...###.#....#.##........###.#####.##.#...####.#.##....###.#...##...##.##..##.###..#.#.#.###..#....##.#.#.###.##.......###..#.#.#.##.#.####.##.#..##..#.#.####.####..###.##.##...........#.########.#.#.#.#.#.###.##...#....###......###.........##.#.#...######.######.#.###.#.##.##.#..#.######..####.######..##.##..##.###########...##.#.#..###.#####...#####....##.#..#.#.#.#######.#...#.##.###.#.#..###.##........##.#..####.##.####.....#..##.###..##...#.####......#####.######.###.#.#.#.##.##...#.#.#.#.#.....##..##..##.###..###.#.########.##.#.#...###...##...####.####..#####.#..#.#..##.#########...##.##########..#.#.##....####.##.##.#.#.....#.#####
##.###.#.######...#.##..##.###..###.#.##....##.......###....##.##..##.##......##.######.##..##...#############.#......#.##....####.#.#.###..#.#...#....##.##...#.######...#..#.####.#.####..##..####.#.#.###.#....##.##..###.###...##............#.#..#.##..##.#..##.#.###########.#####..#.....##.###.#....#..##.#.##..##.####.##...#.##..##..####.#...#####.#.#........###..#.#.#.#.########.#..#.......####.#####.....##....#.##...##.####.#.#.##.####..##.####.#.#####..#####.####.#.###.#.####...#.#.#.##########......###......#...###.#####.####.#.####.##.....##.#####..##.###........#.#..#.####...##.###.#####.##....#.###.#.######....#.#....#.......##.#.##...#.#..#.#.##..####.#.#..##.#.###.#.###.#....##..##.####.##.##.#........##..#...#.#.###.##..##.######.#.#.#.#..#.####..######..##.#........#.#..#.#.#...##.###.#.###.....##....##...####.###....#.#....#.##.....##...##.#.#..##.#.#..#..#..#.#.#######.....#
#..##..#.#......#...######.#...##...#..###.#####.#.#.#...##.#.....##...##.#.######.##....##.##.#...##....###.#...####.#######...##.#.#...##.###.#.#.##..#.##.#.#.#.##...#.##.###....#.#######..##....#.#.#...#.##.##.###...####..#.##.##.#.#.##.####.##..##..###.#####.#.#.#######.....#.###.#.#####...#.##.#.##..#..#.##..##...##.#.#..##..##.##...##.###....####.###.#...##.#####...#.##.....##.##.########...#####.##.##.##.######.##..##..#.#.####.##.##....##.#....##.##........###.#.###....###.#.###........##..#.#.####.#.#.###.##....##.#####.......###..#.#..#.#.####.##...##.###.#...##.#..##..#............#####.#.#...#.###.#.##.##.....######.######.####.###.##.######.#######...#####.....#...#.#.#.##..##...##..##..####.##.##....##.#.#.#####.#####...##.##.###.###.####..##......##..###.##.###.####.###.#.###....#.#...##############.###.##.##..##.#...##.#.#..#####..#..###.#.##..#...##.##.##.#.........#.###
##.##.##.#.######.#......####.##..#.#.##...##....#.#####.####.##.##..#.##.#.....##....#.##...###.#.#..##...#.######...##.#....#..######.##..##..#####..##..###.#.#.#..######.#####.##.....#.##..##.#.#.####.##..#.##.#...####...##.####..#.#.#..##...##.####.##....##.......##.....###.#.#.#####.##..#.#.#..#..##.##...##.##..#.##.#.####..##..##.#.##...#.#.##......#.#.#.#.....##.#....###.#.#..##....###.###.#...#..#.##..####..##.#..####.#.#...#.....#..#.#####.#########.##.########.#...##.##..#.##..###.######.#.#....#.#.#...#####.#....##....#.##.#######.##.....#..#.##.#..#...####.###.#.##..##.##.#.###.#...#####.#.#.#.......##.##.#####....######.#..##...##.#.......####.#.######.##..##.###.##.#.#####.##.#..#.#######.#########.###.#.#..#..#.....#####...#.##....#......##..#.##.##.##...##...#..##...####.#.###.####.#.........#.#.#.......#####..###.#..#.#.##..##...###..####..##.##.###..#.##.#.##.###.##...#
#..##..#.###......#.#.#.##....##.##.#..##.#####.##..#.####.#..#...##.#..#.#.#.#.#..##.#.##.#.##..#######.#...#......#.#....##.##...##....##.##.##.....####..##.#...#.##......#......##.##....##.#..#####.....##.#..####.####..#.##..####.#.#.##..##.##..#.#..#..######.#.#########.###.###.##.##.#####.#.####.##..##.#.######.#.#..#..####.#..#####.#..#####.##.#.#.##.#.####.##.##.##.#...###.##.##.####.........##########..##..#####.##....#.#.#...###...####............#####.......##...#..#####.#####.###...##...###.####.#.#######.#.#.#.####.#.#..###.......##.#.#...##.##.#.##.#...##...#.#.##.##...###..######..##...#.####.#.##..#..#.......##..#.....#.####.##..##.#.######..............##...##..######....##.##......#.#...#......###.######...##.#.#..###..###..##.######.###..##.####..####..##.###..##.##........#..##..#.#######.......##.#.####...###..##.###.###....#...#.##.##.##..##.##..#######..#..#######.#
##.##.##.#...##.#.#.#.#..##.#.##.##.##.##..##....##.#........###.##..##.#.#.########..#..###.###.##......###...###.##.##.#.##.##.#..#.#.###..#..###.#....##..###.###.##.##.#.#.#.#.###.#######..##.##.###.#.#####.##....##...####..##....#.#.###.##..##...##.##.####...#...##........###...#..##.#.###.###.....##.##.#......###.##.#.##.#####.....####...##...###.#.####..#.###..##.##.###...#.#..#.....###.#.#.#..#.##.##.##..#.###.############.#.###...#.#.###.##.#.######.#...#.#.#.####.##..#.######.....#.########......#.#....##.#.###.#..#.#.#.##...######.###.#.##.##..##.#..#.#.######.###..#.##.#..###....###.##..#.#...####..#.###.##.########...#######..#..##.##.#.#.#..##.##.##.##.#.####.####.##.#.###.##..##.######.#.###.####...#...##...#..#.#.##.....##...##......##..###.##....##..###.###.#.##########.##.########.#.....#######.#..###....#.#.#.#.##..##...##.#.##.######..#..##.#...##...#.###.###.......###
#..##..########.###.#.##.##.#.#..#..##.#####..#.###.######.###....##.##.#.#..##......##.##...#...##.##.#.#...#.##..#...#.#.#..#..##.#.#.#...##.##...#.####..##....##.#..#..#.#####.#........###.#..#......#....##..##.######.##...######.###.#...#..##..#..#.##....##.###.###.#.##.#...###.##.##...#.#.##..#.#..###..##.#.####..##.#......##..#.#.###..#..##.##...#....##.....##.##.#..##..######.#.###..##.#.#.##.........###....#....#.##..#.#..#...##.##....##.#..#...####...#.#.#####.#...##...#....##.#.##..#.#######.#######.#......########.###..##.##.##...##..#..#..#####.##.#.#.....##...##.#.##.##..##.#.##.#####.#.##.##.##.##.#.#.##........###......##.###########.....##..##.####..#..##...#.#.......##..##.##................###.##.######.#.##.#..##.##..#######.#.###..##...##.#.##..##.####.....#.#.#.#...#.........#####.#.....###########.#.###...#..#######..#.#.##.##.#.##.########.#####.....#.#.#.##.##...#
#.##..##..........######..#.####.##..###.#.##.###...#.......##.#.##..##.#.#.##..##.#..#.##.#.#.#.####..###.#.#.#..####.#.#.####.##..#.###.###...#####.##.##..####.#####.##.#.##....##.#.#.#...###########.#.#.##..#####.......#.#.##.#...######.###..##.##.###..#.###..##.#.#####..#.###.#.#...###......#.##.####...#####..#.##.##.##.##.####.#####.##.##..#..#.#.#.#####.##.##...####.##.##..##..#...##.##.#.#..#.#.#.#.###...##...##....##.....##.#.##.##.##..###.##.#....##.##.####.##.##.###.#...##.####..##...#...##.....###..#.####...##.###.#...##......###..##.#.###.....#.##.###.######.#.#########..#####..#.....###.##....##..#...#.#..###.#####..#.##.......##.##.#..#######.##.#....##.##..#...##.####..#.##..#..####.##.########.####.....##.###..#.##...##.....##..#..###..###.##.#..##.....#.##.##.......##.##.###.######.##.#.#.#....#...#.####.##..####..##.....##.#..#..........#.####.....##.#####...###..##.###
#.#..#########.##....##..##.##....##.##.......##..#####.#.###..#..##..#.###.##.######.########.###.###.##..#####.##....###.##....##.####...##.######......#.###......##.####.##.##.#..###.###.###.........#.#..##.##....#.#.#.#.#.#....#......#.#...##...#...##.#...##.#......####.###.......#.....#.##.#.##....###.....##.#.....#..#.##..##....##.....##.##.######.....#.##.##.#....###...##....##.#.##..#.###.##.#####...###..#.#####.#.#..#.#..#.#.##.##.###..##.####.#.##..##.........##.##..########.##.###.#...#.#..#.#...##.#..##..#........#.#.##.##.#####.##..####..#.#####...##......#.#.........##...####...#.####..#..#.##..###.#####...#.###.#######.#.#.#.##....##....#.##.##.####.##..####.#.#..#######.######...##.##.....###...#.#.#.###....##.######..#.##########...#.###..#####.##.#.#...##..##.#.#####.#...##....##...#.#.######...#......####.####..##..##.##..#.##.#.#.####....#.##.##.##.....#.######..#..##
#.##..##........##.####.##..####.###..####.##.###########.####.##.#..#####..##.#.##......##.#..#.......#..##..#######.##...###.#.#####.##.###.##.....###.##.##..##.#..#.#.##.##.#..##..##...#.#...##.##.#.#.##.##.##.##.#.#.#.#.######.###.##.#.#.#..#.#.#.#.#..#.#.##.##.##.##......##.##.#.##.##.#.#..#.#..#.##...##.#######.#.##.#..##..######..#.#.#...#.#......#.###.#...######.##..#..###.###.#..##.#.#....#....##.#.#...##.....#####.##.#.##.#..#.##...#.###....#.#..##..##.##.###.##..##.###.#.#...#...#.##.#####.#.######.#.####.#.##.###.###.##.#......#.###....##.#.....##.##..##.#####.#.#.###.##.#...###.##..##..##.########......##.#.#.......#.#.#####.#####.#....##....######.....##....###.##.......###.#....#..#.##.#.#.....#.....##########.......##.#..##.#...######...##...#.###..#.#.#####..###..##...##.##..######.####......#.####.#.#.##.####.######..#..##.#.##.###..######....#.##..##.#.####...######..#
#.###.########.###....#..####....#...##.....###.###.#.##.....#.#..#.###....#####....##.#.#....#####.##.##.###..........###...###.#.....##...####.###..##..#.###..###.####....##.##..##..########.###.##.###..#.##..#.##.#######.##.....#....#######.##.#.######.########...#######.#.#######.##.#..###.##.##.#..##.##....##....#..########.#.#######.####.#########.#...#.###.....##..#####.#...#...#.###.#.#.#.###.##########.##.##.###..#..###..#.#.####..###...##.#.#.#.####.##..#..##.##.##..........#####.####...##..#......#.###....#..#..##.##..####.#.#.##..##.#.##..#.###.##..##.##.##.##.#.#####.####.#...###..##..###...#....##.#.###..#.#.##.##......#.##...#.#.#.##..#.####..####.######.#.##..##.##.#.###..#.#.###.######.##.#.##.#######..##.###.#.##.##.##......#....####.###.###.##..####.....##########.###...##...#.##....########.##.#######..##........#.###.#..#..#...##......##.#.#####..###...#..#....#.####
#...###..........##.######.#..#.###.######.####..........#.#.###.##...####.....##.#..#.#.##.###.###########...#.##.##.##...#...#.#.###....####...#...####.#.#.##.#...##...##..####.####...#.##...##..#..##..##.##.####..##.......##.#.###.#....##....###..#.###....#.#...#...##....#.#.##.#..##.##.##...#.#..#.##...##.####.##.##......##........##...##....##......#.#.###...##.####.#.....#.#.###.###...#.#.#.##........##....###......##.##...##########.###.########.#.#.##.#..###.##.##.##.##.#.###....####....###..##.######...##.####.#########.#....#.#..####..###..##...#####.#..#.....########......#.#.#..##########..#...#.#####.##..##.#..#.##.#.##....##.##...#.##.##....##.#......##...#####.##.######.#.##.#...#.##.##..##.#..#.....#.#.###.#.#.#..#.##..##.#.#####.##.####.#.....###..##..###..##......######.##..#...##.#####.#...###...#....##.##.######.#.#####.##.###.##..####..#.#.....##...###...###.#......#
########.##.##.#.##..#..#..#.##.#.....#######.#####.#.##.#.#..##.##.#..##..#.#.#..##.#.######.....#.....#####.####.#..##.#.#.#####.#...##..##..#.##.##....#....####.###.###..##....##.#.#...###.##########.##..#.....####..##.##.######...#.#.##..#.##...##..#..##...##.###.####.###.#......###.#..###.#####.#..#.###.....#.##.##.#.##.####.##.###..#.##.##..##.##.####..##.#..###..####.##.#.###.....##.##.###..##.#.#####..#.#####.#.#.##..#.#..##.#.#....#.###.....##.#...#####...#.##..#.#...###..##.##...##.##...##..#...#####.##..##....##...#.#####.#####....##...##..#.#..#..###.###.##........###.##.#.###.##.###.##...###.####.##..##.##..##.#..###..##########.#.#.#...##.#.##...##.#.##.#...##..##...#.#.....###.###....##.###.#####.##......#....#.#.####..###.#...#####....##.##.#.##...####...##....#.##.#......##.##.#......#.#...#####.###.####........#####..##....#.#.#..##.#####.#.#.##.####.###..#...###.#.####
#........#...#.#.###...##.##.##.##.#.##...#.....#####..#.#.#.##..#..####..##.####.#..#.###.######.#####.#.....##...##.#..#.#...##..######.######.##..##.#.#.#.##......#...##.#####.##...#.#..##...##........##.#.#.#.#....###.##.#......#.#.#.##.##.####..##...#######...##..#.#.#...####.#...#.##..##...#.#.#.##.##..#.#.#..###..#.##.#....#######.#.#..########.....##..####.....##....##.#...###.####.##.##..###.#....##.##....######..#.#####......####...##..#.#..###.###.#.#.#######.#.#.#...#.#############..#..##.#.#.#...#####.##.##....#....##...#.#.#.#.##..#..##.#.##...####.#....##.##.##.##..#######..........#.#..##.......#.##..##.######...##..........#.######.##########..#.#.##.###.#######.##...###..##.##..##.##...#...#.#######.#...######.#..##...#.#.#....##.##.....###.##.#..##..####.#.#######.#.##.##.##.##.###...#.#.#.#.#.....##.###.######.########.###...#.##......#####..#.##.#.##..##.#..####....#
#.#.#.#.####.#.#.#...#.....#..#.#########.##.##.......######.###.##.##...##...##..##.###..........#####...#.#..#.#.#..#.##.##.####.#..........##.##.##..#.#.#.##.###.#######.#......##.##.##..#######.#.###..###.#####.##.##...######.#.#.#.######...###.###.#.......#.#.##.##...##.##....#.#.#.###.#..#...#.#.##..####.####.###.##.##.##.#......##.#.##....##....#######..##..#########.##.#.###...#.#...###..##.###.##.##.##.##......######...#.#######...#..#.#####.#...##..........##..#.#.##.##............###.####..###...#####...##.##.#.##.##..###.#.#...#..#.##.##..#..#.####.####.#..#.####...##.......##.##.#.#.####.####.##########.#....##...#..#.####.#####.##........#.####..##.#.#..##.......##.##.#...#####.##.##...##.##.#.........#.#.#...######.##..#####.#.##.....#####..####..#.####....#.#.......######.##.#..##..##.#...#.......######.##.....###.#.##.#.#...##.##..##.#.####.#######.....#.##..##...##.#.##
#########....###.###.#.##.###.###............##.##.##...##.....#########..##.####.#..#####.##.#.#.......#.####.#.###.##.##.##..##..####.####.##...#..##.#.#.#.##.#....##.....##.#.#.##..#####....##...#...#####....##...###..#.##.....#.#.#...#.#..#.#.....#.##.#.#.##.#.#..##.#..###..#.##.###.#...##.#.#.###.###..##...#.###....#.##..####.#.#..#.#####.#######....##...####.....##....##.#.##..#...###.####.....##..#..#.##.#..####....##..#.........##.###....##.###.#..####.#.#.#.###.#.####.##.###.######..##.##.##..##.####..##.##...###.##..##.##....###.#.##..###..##.##......###..#.##...###.####.##.#.#..####.#...##.####...#.###.####.####..#.#.##.#..#.....#..###.#.##....##..#####.##..#.#.##.##.....###.....#.##..###.##.##.###.#.#.#.###.#.#..#.....###.##.####..#.###.....##....##.#...##.#.##.#.########.#...####.##..###.##.###########.#.#.#..###............###..#..#######............####.######..##.###.#..#
###....#####..##..##.#..#.#.################..###...##.###.#.#.......##..###....####.#.....########.##.##.#....###...#...###..####.#......##.####.#.##..###.#.####.#.##..##.###.#.#..##.#.....#.##..#.###..##...#.#####.###############.#.#.#.#...######.###.##.#.######.##..#.#.##...##.##.##..###.##.#.#.##...##.###.#....###.#.###..###...#.#.####.......##....#####.#.##...###..##.#..#.#..##.##.##...#....##.###.###.#######...##.####..###.#.##.#.##...##.#....##..#.##....#.#.###.#.#..##..##...#..#####.##......##..#......##...##.##...########..#.######..#.##...##...##.#.#...##.#.##.#...###.#..##.####....#.#.###...##..#....#....##....##.#.#.##...###.####.##...#..##.#..##..#..#..##.#.#..#..##.##...###.#.#.##.##...#..##..##############.#.##.###..##..#...##.##...##.#.####.####.###..#.#..#.#......##....#...##..##...###......###.#...#.....####.#.#.#.####..##.###....##...#.###.###.##....#.#..##..#...#.#.##
#.####...#...##..###.##.#....##..##..........##...#.##.#...#.#.##.#.##..##...##########.#.##.#.#.#####.#####.#...###.##.##...##..#####.##.##..##..#..######.#....#.###..##....###.##.##.#.#.#.#..##.#.###.####.##..##...#...#.##.#####..#.#####.#.#.......##.##.#......#..##.########.#####.##.###..##.###..##.###...#.#.##...###...##.#...###.#....#.#.#.#..##.#.....#.#..##.#####.#..#.##.##.##.##.##.#.##.#..#...#...#..##.#...#..###.###.#.#.#.##.#..#.#.##.#.##.##.##.###.#.###..##.###.####.#..####.....#..##.##.###.###.###..#.#.#...#.#.......###.#....##..##..#.#.##.####.#.#.######.##.##.####...###.#....#.##.#..##.#.##.###.#...##..##.###..#.#.#..#.#.########..#.#.##..##..##...######.#.##.#.##..##.#...#.########..####..##............#######....######...#.##..######.#...##.#.....#####.#.########.######.#.#..##.##.#..###.#.#.......#...#####..#.#.#.#....#.#####...#.##..#.#...#.###.##.##...#.##..####.#.#..#
#......#...#####.##...#.#.######..#######.#.#####.#..####.####.##.#.###..###...##.#.#.#####......#......##...#.####..##.##.#.###..#.#...#.##.##..##.##......#.#.##..###.###.###...#..####.#.#.#.##..###....##..#..##..#.#.#............##.....#.####.##.#.####..#.#.##.#.###.##.##.#..#...#..####..#####...##....##.####.##.###...#.##.#.#..##.#.#.####.#.#.#####.#####.#.##...#.##.####..#.##.##.##.##.###..#.##.#.#.###.##..##.###..#....#.#...#..#.#.#######.#..###...###...#...##.#...##...##.##.#.#####.##.##...#...#.##....##.#.#.##.##.#.#.#.#.#...#.##.#..######.#.##..##..#.#..#.###.##.##....##.##...#.#.##..######..#.##...#.###.##########.##.#.##.#.........##.##.#..##.##.##..#...#.#..#.#..#..##..#.#.#.#......#######.##..#.#.##.#.#.#.........######..##.##..##......#####..#.##.##....##.#.......##..##....#.##.##.##.##...#.#.##.##.#.###.......########.#.##...###########.#.#####...####.#..#....##.#..#.#.##.#
#####.####..##....##.##.#...##.##.#.#.....###..##.##.#.....##...###.#...##...###.......#....####...##.#..##.##....##.##.##.#...##.#.##.#####.###.##.####.##.#####..##...#.....###.##.#....#.###..##...##.#####.#.######.#####.##.##.#.##..##.##.#....##.#.#.#..##.######.##..#.....##...###.##....##.##..#..##.#.##...##.##.#####.#.##.#.##..#.#.#...##.#.###.##....#####..###....###....##.#...#.##.##.#...##..###.#.###..##......##...#.##.##.##.####.....##..##...#.###...#.#####....#.##.#..####.....#####...#.#.#.###..##.###########..#.#.#######.#.#..#.##..#..##.#..#.####.#.##.....###...#######..#.#.###.###.....##.##.##.#.#...#...###....######..#.#.#.########.##.##.#####.#..####.#.#.##.##.##.##.##.#.#.#.#.##...###......####.############.#.#........##..##.##..#######.##.#####..#.#.###.##.###.####..##.#.#..#.##.##..###.#.###..##.#.##..#.#.#......###.#..#####.....##.#..#....##.#####..#.##.##.##.#.#######.#
##.##.#....##..#.##..######.##.#......#.#...##....#..#.###..#.#.#######..###...##.##.#...##.#....#.#..##.##.#..#.##...###..#.####.#.#......#...#.##...#####.######.##.#.##.##.##..####.##.#...##..#.#.#......#####.###..##....#..##.#.###..#..#####.##..#.#.##..#..##.####..######....#...#.##.#.##.....###.####..#.#.#...###.....###..#.#..####.#.#.#..#.##.....##.....#.##...#####..##.##.#.#.####.#####.####.#####...##..###.##..#.#.######...#...##.##.####.#..###...#.#.#..##...#.####..##..##..#.#.....#####.#.#...####...##.##..#.#.##.#......##.###.##..##...###.#.##..##..#..###.#######....##.########.....#.###.##.##.##.###.#.##.##.#.#####..###.#####........#.#..##...##..##...##.#.#..#.##.##..#..#.###.#.#.##.#.#.###.#.##.##..####.#.####.####.#.##.####.##.###....#.....####....##.###.#.##...#....##.#######.#.##.##.######...##.##.#..##.#.#.###.####.#.#.######.#####....###.#..#.##..####..#..###....#.#.##..#
#.....####..##.#.###......#.#..####.#.#.##.####.#.#.####...##.#...##.##.##...#..#.#..###..######.#.##..#..####.#####.##...##.#.#......#.##.#.#.#..###.#.......#.#..##.###...#.##.##....#..#.#..##.###.##.#.#.##.##.#.#####.##.#.##..#.#.#.##.###.#...##.###....###.......##.#..####.#.##.#######.##.###...#....##.#.####.####.#.#..###.####....#.###.##.#######.###.###.#.####.....#.##...###.###..#.#......##.....###.#######..###.###......##.###.##..##...##.##.#####.#.#.##..###.#.#.###..##..####.#.#.###########.#####..#.....##...#.####.#.#.##..##...##.#..#...###..##..##.#.##...##...##.##.........##..#.#.#...#.#...#.##..##.###..........#..##......##.##.##.#####..##.####.#..#..#.#...##..#.#..##.##...#.#.####.#....##.#.....##...#.......#....#.#.#...#.###....#.####.######.###.###...#.######.#.##.##.....##..#.#...#......###..####.##..#.###...####.#.#####..........###.##...####..#.##.###.#######.#......#.##
#.#.#.##...#####..##.#.##.#.##......#.#.#...##..#.#..###.#.####.###......#####.##.##.#...####....#.###.##..##....##..#..#.####...#.#.##.#..#.#.#.#########.#.##...##...###.##.#...##.#.##.####.####...##.#.###.............#..#..##.#.#....#.##....#.#..##..##.#.##.#.#####.##......#.##...#.##..####...###.##.##.#..##..##...####..##....##.#####...#.....##...#...#####....#.#.#.#.###.##....###...##.##.####.####......##...##.....#.###.##....#..##..###.##.##....######.#..##...#.....##.##.##....###..#.....#.##..#..##.##.#.#####.#....#.#.#..##..##.##..##.#.#...##.##.###.#.##.#....#..#..#.#.#######..##.#.#.#.#.##.##.##.##..####.#.#.###...####.#.#.#..##..#...##..##...##..#.#########.###.#.##..#.#..#.#.#..#.#.##.#.##.#.#.####.#...#######.##########....###.###........#.#..##....###.....##...#.#####.###..##.#.##.###.#.#...##.##....##.#...##.###...........######.###...##.#....##....#.#.#......##.###.####..#
###.#####.###....##..#..#.#.#..#.#.##.#####.#..##.#.##...#...##...##.#.#...##..##..#####.##.######.#.#..#.####.#######.##.#.####.#.#.#####.#####....##.....#.####..#####....#.##.##..#.######...#####..#.#...##.###.#.##.#.##.#.##..#.##.#.######.#########..#...##.#...##..#..##.#.#.#..#...###.#.####.##...#..####.###.####...##.##..####.....####.##.#.###.#.#.#....#########.#.#.#...##.##...##.##..#...##.....###.##..###.#..#.#######.#..#.#######.###.##.#..#.##.#.##.##..##.###.#####.#...#.##...##...#.#....##...##..##.#.#.#...##.#.#.#.#.####.#...#####.####.##..##...###.##.#.#.##.##.##.#......##.##..#.#.#####...####.###.#.##.###...##.##.####.#.#.####.#.###..####.#########...#......#.#..#.##.##.#.#.####....#.#.##.#.###....#.#.#.#########.##..##.##...#...#.####.#.....####.#..##.##.##..#.#...##...###########...#####.####..#.#.######.##...#..######################.#..#.####..##.....##.#.#.##..##..#.####
#...##......##.#.#####.#######.#.#.#..##....##..###.#..#.#.#####.###.#.##.###.#######.#..#.........#...##.##.#....##...##.#......###...##.....###.########.###.#..##.....#.####...######......#.#.....##.#.#.#..#...#.##.#.#..#..##.####.#..##....##..###.#.###.######.####.#.###.#.###.##.#.#.###.......##.##.####....###....###..###.#....###...##.##.#.#...#.####.###......######.#.#.##..#.###...#.###.##..#.#.##...##...###.##.......#.##.#...##.####...##.##.####...##.#..##...##.....#####.###..#.####.####.#..#.#..##.##.#.....#..#.#.###.#.##.###.#..##......#.###.##.#..##.##.#.####..#.##.#.###.###..##.#.#.##.##.#..##...##....#..####..#......##.#.####...#...##.#.#..........#.#...##.#.###.##..#.##.#.#....#.#.##.#..#.#...#.#.##.#.......##.....##..#..#.#.#.#.#....####.#####.######...#######.#.#.####........##...#....##....#.####.....##.####...####.#..#.##.....#....#.#.##....##.##.##.##..###..#.####......#
#.#.##.#.#.#####..##...##......#.#.##..###.####.##..####.#....##...#.#.##...#..##.......###.###.##.##.##..##...#.####.##..#.####.##..#.#..#.#...#..#.###....##...##..#.#.#.##...#.###.#..#.#.##.#.###..#.#.####.###.#.##.####.##.#####...##..###.####.........#......#...##.#.#...###....#.###.....##.#.###.##.#....##.####.#...##...######...#.###..##.#.##.##.##.#.##..####.....##.#.#.##.##..##.#.####...##.###.##.###..#.#...##.##########.##.##....####..###...##..#.##.##..##.##..#######.....#.##....#....####.#.#.##...#.#.##.#######.#####.....##.#.##..##.#.#...#.#..#.##..##.#....#.####..#...#...#.###.#.#.....#.##..##.##..#.###..################....###.#.#.####...##.#.#.#########..#..####..##..###.##.###.#..###.##.##.##.#.##.#.#.######.#######.##.#######.#.#.###.......#.#####..#.##.#..#.#.#...##.########..#.#.##..###.##.#.###.#####...####........##....###...##.#.####.##.##.#...#..##.##..##....##.##.##
########.#.######..##.#######.##.#.#####......#####.#....#.#.##..#.######.############.#######...####.######.###..#.#..##.#####...#.####.##.###.##.#.....#.#####..##.#.###.####.###.....####.##.#.##..##.#####..#...#..###....##.#.##..#..####....#.#.##.#.##.#.#.#.##.###..####.##...#.##..###.#.#####.##...###.##.##....#.##.##..#.#......#######.##..#.##..###.......##.###.#.##..######..##.#######.###.##.#####...##.##.#.#.##...#.##.#.###.....##....######.#....##..#####.######...#.#.#.#.#.#..##.####.#....#.########.#####.......####.##..#.#.##.#####..#.#.#.#####.######.##.#.####.#.#######.#.#####.######.#.####..###..##.#...##...............##.#####..#.#....##.##..#.###.##......###..##########...#...########...#.##..#.###..#.#...##...#........####.#..#######.###.#####.#.#.####......##.#.#.#.##......###.##.#..##...#.##....##.....###.#....#.#######.####.###########.####..####.########..###.##.##..####
#..##....#..##....########.##..#.#.#.....##.###.....##.#.#.#####.#..##.......##.#...####.#.#...#####...##......#.##...######....#.###.....###########.##.#..##...##..#.##...##...##.###.##....#.#.##.#######.##.###.#.##...#.##..#....###....##.#...#.#..###..#.#.####.#...###.#..###.#..##...###.#......#.#..##.##..##.#.###...##.#.#.####.#.....#####.###..##...##.##......#######.##.....#####...#........#....##.###...#.###.##.#.........##.#.###..#.##......#.#####.###..#....##..#.....###.#.#.###....#.#.#.#####.##..#...####.#.##..##...#.##.#.##...#.##.#.###...##.....##..##.#...##........##.#..#....##.#.#.#...###...#.##..#####..#.####.#.##.#########..##.#.##.#...#.##.....##.##.######...#.#..#.###.#.#..##.###..#.###..##..###.###.#....#...##.###..#.....###.#.....##.#.#.....#.#.##.#.#.##..#####.##.#.#.##...#..##..#.#.#..#.#.##..###..####.##.#.#.......#.##.###.#.#.##.....##...##........##.#.#..#####....#
##....##.##..##.#......##.....######.#.#.##.#####.#..#.#.#...##..#.######.#.##..###.#........#.##....#.#####.###.#..#.##.....#.##...#####.........##..##.#.####.###.####..#.###.#####....##.#.#.#..#..#.##......##..#.##.#.#..#######...##.#.#..###.#.#.##...####..#.#####.##....##...##.###.###..#.###.#####.##..#####.#...##.##..#.###....#.###..#.##..##.#####.#...##.#.####.#.##..##.##.....###...#.#.#.##.#.##...###.##.#...#..##.#.#.##..###...####..##.#.###.....#...##...##.##.##.#.#..##.###.##..#.######........##...#...##.###..##..######.#..#.#...##.#...#.#..##.#.##..###.#.#..#.######.#####...####....#####.#.#.###..##.....#.##....###.#########..##.#..#..#.##.##.##.#.#.##.##....#.#.#...#.##.#####.##......#.##.###.###.##.###...#######.###...##...#####.#.#.########.#.###......#.#.#####.#......#.#.#..#.###.##..######.##.#..##...##....###..#...###.#.................#####..#####.#######....####.....#.##
#..##.#..##.###.###.######.##.#.#.#########...#####.####.##.####.#...##...#.#..##...########.#.#####.#...###...#.##.###..###.#.###.##.....#.##.#####.##..#.##.#.##..##...##..####.#####.###.#.#.#.###....##.#.#.##.##########..##.....#.#######..##.###.##.#.##...##.##.######.#.#..#.#...##...#######.....##..#.####...###.#####.##.####.#....##.##....##.....##.##.###.#.........##.##.#..##.##...#.#.#.#.##.#.#..#..##.####.#.#.###.#.#..##..##.#....#.#####...#.##########.#..#######.#.##..####...##.###..##..####.#..##.###.##..####....###.#.########.###..##.#####..#######.##..#.##.#......#..##.###......#.##.......#..##.##..#.#.#.##.##...#......##.#.##..##.####.#...#.#..#.#.##..##.###...#####........######.#.##..#.#...##......##.#..####.###.######.#.......#.......#.#....########.#.#...#.#######.####.#.####...#..##.#.#####.#.##..###..####...##.#..#####.#.#.#.###.##.#.....##...#.#.......#.##....##.#.#####
#####.##.##...####..##.....####.#.#.#.#.#.#.###.##....##.#...#.#.#.###########.####.###......#.#.....#.###.#.###.##..###.#...#..##..#.#.#.#.##...##...##.#.#.....##.##.#.#..##..........##..#.#.#..##.#####.###..#..###.#.#...####.##.###.......##..###.##.###..#.#........##..####.#.#.#.########.#...##.##..##....###..##...##...###.#..#.##..######.####.####..##...###.#####.###...#.##..#.######.#.###.####.##.#.##...#####.###.###.#.####..#.#.#.##..##...#.#....#...##..##..#.#....###..##....###...#..####...#####.#..#.#####....#.##.............##...##..#..##...###.#.##.##.##..#.##.##.###.#...##.##########.###.##.##...##.###.#.#...##########.......##.##...####.#.#.##.###.##.##...##.#.###.#.########......#..####.##.###.#.####..##.......##......#####.###...#.#.###...####.....#######.##..#..###...####..###.#.##........#.#######...##....#.#.#..#.##.#.#####.#...############..#...#.#.##.##..#.##.#..#..####
#.....##.###.##....######.##.....................##.#..#.##.##...#..##.....#.#.#........##.#.######.##.#......##.##.##.#.##.###..##.#.#.###.####.##.#.#..#.#.#.#########.##..###.#.##.#####.#.#.#.##......###...##.##.......###....##...##.#.#.######.#.##...##.#...#.#.#.##..##..#.#####.#.#.#......#..#..##.####.#####.##.#####.##.....##.##.###.###.##.....###.##.###.......#...##.####..##..##.#..#...#.#....##.#.##.#...##......#####..##..##.#.###..####.##.##.#...#..##..##...##.#...##..##.#..##.#...##.###.##.#.####.....##..#.####..#.#.#.##.####..###..##.##..#........#.##..#.####..##...#...###...........#.##...#.##.#..#...###.#.#..........###.########..#..#######.#...##.##..##.##..#...........#####.#.#.##....###....#.#....##..##.#.##.###.######.##..##.#.#####.##.###...#####.#..##....##.##...###.##.##.###.#..##.#.#.........##.##..########.##.......########..##........####.#######...#.##..#.##.##.#.##
##.##.#....#######.#......##.##.###.#.#.#.###.####..####.##..###.#.#######.#...##########..#..##....#####.##.######.#....##.#...#####.####.....#..#.####.#.#.#........######.########.##.##.#.###.###.#########.##.###.##.#.######.###.#####.#...##.....##.###..#.###.###..######...##....#.....#.#.##.###.##....#.....#.##.....######.#.#####.##....#..##.#.##.####..##.#.#.####.##...##..######....##.#.####.#.##.#..#.#.#..#.#.####.##..##..###.#...##.##.#.##.####.###########.######.###########.##.##.###.#.........#.###.###..##....#.##.#.#.##..####.#.#####.###.#.#.#.#.##.##.##..####.###.###.######.#######.#..##.##.#..######..#######.#########......#########.......#.#.#..#.#..##...#####.###.##.#....##.#.#..##.###...#.####.##.######.#.##.............#.##..#..............#.###.....##..##.....###......#......###.###.###.#.###.#.#...##....##....##.##.##..#.##.###....##.#.###.##....#.###.########.##..#....#
#...####.#......##.##.###.#####.#...#.#.#.#......##..##..#..###..#.##.#......#............##.##..#.##.....##.#.###..#.#.##..###.##....##...#.#.####...##.#.###.##.###..##....#............#.#.#...#....####..##.####....###.#.####..##..#.#..#.#.####.#.##.###.##...#...##..##....#..####.#.#.#.#.###....#.##.#.##.#.#.#.##.##.##......#.#........#.##.##..#.#.......#####.#.##.#.##.#..##..#.##..#.##..####.#.#.#..#.##.#.##.#.#.......##.###...###.#######....#.#.##.....##.......#.#.....#.#.#.##..#...#.#.#.###.#####...##....#####.####.#..#.#####...##.......#...#.#.#.#.#..###..###....#.#....##....##.......####.###..#.##....####...##............#.#.##..##.....#.#.##.######.##.##.#..#....##..##..###.##..###.#.##....#.#.#..##..##......#.#.#..###.#####.###.##.##.#.#.#.###.#.##...#.###########.##.#...#.#.##.########.#.#...#.#...######.##..##.###.#..########........##.########.#.##.##.....#.......##.##.###.###
#.#...####.######...###...#.#.####.##.#.#.###.##.##.####.##...##.#.##...#.##.##.###.#.##.##..##.##.####.#.##...#.#.##.#######....##.#.##.###.#..##..#.#..#.#...##...##..####.#.#.#.#.#.##.###.###.##.#....##.#...##..########.#....##..##.#.####.#....#.##...###..####.####..#.#.###.##...###.#.#.#...##.#..#.#.##.###.#..#..#..###.#.##.#.#.#.#.##.####..#####.##.#...##..#....#.##.#.##..##....##..##..#.#...#.##.#..###.##.####.#.#.##....#.#...#.###.#.###.##.#....########.###...##.##........##.##.##......##...#.########.##...#...#####.#...##..#..##.#.##.###.#.#####.##...##..##.#.##.#.#.#####.####.##.#...####...##.#..####....#####.#.##.########..##....##.##.#.#####......#######.#.#.##..####...#.###.#...#.##.######.##..##..#.#.#.##.#.##..##.....#...#.#...#.###.#...###.##.#...##.#####..###..##.##.#.##.....##.#...#.#####.#....##...##..#...####........##.#.##.#######..###.#.#######.#########.##.##.##....#
###.###.##...###..#########...##...##.#.#.#....#.#...##..##.#.#..####.#.#.#...###...#.##..####..####....#.#..###.####.#...##..#.##..###...##.#.##..##.##.####.####.####.##...###.###.#.##...########.##.#.#....#.########.#.....##..##.#.......#.##.#.#.##.###...#######..##.###.##..####.##..#.###.#.##.#.##.#..#...#.#.##.###.#...#.#..#.###.#.#....#####......###.#.##.###.###.#..#..##.#####.#..####...###.####.#.####.##.###..#.#..##.#.####.##.........#.#####.#........#.#...#.##..#.#.######..#...##.##.##..#........###....#.#.#...#.###.#######.#####.########...##..##.###..###.#..#.###...##.....#.##.#.###..##.##..##....####...##..#..#..###...##.##.#.##...#.#.....##.#.#....##...#.#.###....#.#.###...##.##.##......#####.###.#.#.######.##.####.#.##.#.####.##..##.#####...##.#.#.....##.#.#####.#..##.######.#..#.##.##....##.##.######.###.#.#.##...####.######..#..#.#....##...........#.........###...#..##.###
#....##.#..#...##..##.#.....#....#..#.#.####.#.#.##.####..#.#.##.##...######.###..#.####.##....##.###.#.#.##......#.#####....##..##..###.##..#.#####...###......##...#####.#..########..##.####.###...######.#.#.#........###.#.#..######.#.##.#.##.#.#.#...##.#.##.#....###.##...##.#.....##.#...###.####..#.#.##.#####.##...####.##.######...#.#.##.....###.#.##...#.#...##...####.#.##.....##.##...##.#.##.....#.#.##...##...####.##.##.#....#.##.#.#.#####...##..#.##.########.####..##.#......##.###.##.##.#####.#.######...#.##.###.###.#########......##......###.#####.#....##...#.#.####...#.##.#.#.#.##.#.....#######.#..##...##.#.##.###.##...#.#########..#######.#.###..#.#.##.##.###.#...##.#.###...#####...#..#.#.####......##.###...#.##.##...##.###..####....##.##.....###.##.#.#.#.#..........#.#.###.###.#..##...##.##.#.##...#.###.##...###.#.##.#....#....##..###.....##.##.############.#.##########.#.###...#
#.#.##....##.#.##.##..###.#.##.#.#.##.#.##...#####....##.##.#..#########.##..#.##.#.###..##.##.##.....#.#..##.#####..#.###.###..##..##....##.#...####.##...#.#.###.#...#.#.#.##.....##.##..#........#....#.#####.##.#.#.#.....#.##..#.#...#..#.#.##.#.#.##.###.#..#...#.###..###.##..#.#.#.##.#.####....###.#.#.##.....#..###.##...######.###.####.##.######..#.##.###.##.#####..##..#.#..#.###..###.#########.#.##.#.##.#.##.#..######.##.##.#.####.###....##########..#.....##......##.####.##.###...##..#.#.....##.#......#.#.#.#####............##..#.##..#.#.####...##.#####.#####.##.#....##.##.##.#.#.#.##.#.#.#.##..##..#.###.#.####.#....#.##.#...#.#.#.####...###...#...##.###.##.##.##..##.###.#..##.#.######.#####.#....#.#.#.##....#.#....#.##.###....##..#.#########..##.###...#.#.#.#.######.##.####.##......##.##.###..##.#####.####.#.#..#.###.#.#..##.##########.#.###########....###.#######....###.###.#...###.#
#.#.#..#.##..###...##..#..#..###.#..#.#.####.....##.###...#######.#.........##....#...##.##.####..#.######.#......##....##.#...####..##.#.##.###...######.##.#...#.#.#.#...######.#.....##.##.#.##.##.##.#.###...#..#.#.#.###.####.##.#.#.#.######..#.#.##.#...##...#.#.##..##....##.#.#.#.##.#.###..##.#...#.#..##.##.##..#######.#.#.........###.#.......######....#.#......#.##..#####.#...####....#.##.....#..#.#..#.#.##.##......#.#..##.###......####.........##.#####.####.#.###....##.##...##.##..##.#.#.#.####.##.###.#.#.#.#.######.#.#.#.#..##..##.#.#..#####.....##....#.##.##.##.####..#..#.#.#.#.##.#.#.#.##.#########..#...####.#.##..#.#.#..........#####.#########...##.##.##..##..####..##..#.###..........###.########..##.#.#####.##.##...##.#..##...##...#.##.#####.##.##.#.#.#.....##..##########.##.###.##.####..#..##...#......####...#.#.##.##..#.##.#.##.#.............##.#.#....#.#####.......#.##.####.#
#.####.#########.#####...###.##..#.##.#.#....######...##.####.......#.#.#.####.##.##.########....##.#......##.##.####.#....##.###...##..#.##.##..#.#.#.#..#..##.##.######.#######.##.#.##########..##.##.....#.#.############.##......#.###......#.##.#.##.#.####.###.#..##..###.##..#.#.###..###.##..#.##.##.##..#.####..##..##.....###.#.#.#...#####.#######.###.######.#.#####..######.##.##.#..##....####.#######.######..#..#.##.###.##....###.##..###.#.#.###.##.#.###..##..#..###.#.##..#.#..#.#..###.#.#.#....#..#######.#......##############.#..###.#.##.#.#.##.##..##.#....#..#..#..##..#####.#.###.##.#.#.#.....#..##....##.#....#.#..#.##.#.#.#.###.##...............#.#.#..##.#..##..##....###.####...##.##.#.###......##...#####...##..##..###..#######.#....#....####....##..#.###.#.#.#..##...##...##..##...#.##...##.##.###.#...#.####.##.#.###.##.###........##...##.####.#.#..#.....####.....###.#.#####.....###
#.##........##.#..##.###...#.#..##..#.#.##.#......###.####..######.#########....#.#.....##.#..#.#######.##.#...####.####.#.##...###.###.#.##.#..##.....#####.##.##.#......#..##...#..#......########..#..#.#.#.#####.#.##......###.########.###.####..#..#######....####.#..###...##.###...##..##..#.##.##..#####.#....#####.####.#.####.#.###.#..##...#.#.#.#.#.#...##.###...######.#.#...#.##...#####.###.......##..###.#####.####...##..##.####...##...#.###...#.##.....#.####.##...#.###..##.#.####.##.###.###.##.##.....###.##.#.#........#.##....##.#.###.##......#..#####.##.#.#.##.###..##....##.#..##..#.#.####.##...#####.##..####.#.#.##..###.#.#...#.#######.######.#.#.###.##..##.#######.#...#....###.##.##.#...#.#.#.##..#....##.#########...##...###.#.######.##..#.#.#####.####...#.######..####.###..##..#.#..##.###..#...###.######....#.#.########.#.##.######.####....######.#.###......#.#.########.###.######
#.###.#.#####....##......######.##.##########.###.##.....##..###...#.#.#.#...#.#####.##.#....#####.##...#..##.##.........#.##.#######...###..##.##.###.#.#.#..#..#.##.#.#.##.#..####.#.######.#.#####.#.##.#####........#.#.#.##.....##.......#.#.###.#.##.....##.#.##.####.#...#########.##..####.#..#.##.##.....##.#..........###.##.#.#####.#.#####...........#####......###.####...##.##.###.##.##....#.#.##.####..#...###....##.#.###..#....##.###.###...#.#.#.#..##.####..###..#.####..#####...##......###....####.#.#...###..#.##.##.##....#.#.##.....##.##.##.###.##......#.#.#..#..##.##..#.##..#.####.#.#...##..#.#...##...##.####.#.#..##...#.#.##.##....#########.#####..##..##.##......##.#.###.##.##...#.#..#.###.#.#..##.###.##..#....#..#.#..##.##.#.#....#######.........#.#.####.#......##.#......##..#.##.#.##....#####.####..#.#.#.####.#....##......##......#....#######..##.#...##.#########.##......##......#
#..####.....#.#.##..####...##.#.##.##..##.##....#.#####.####.#.#####.......#.#..##....#.##.#..##......#.##..####.#.##.##.#.#......#####...##.#..#....###.....##.###########....###...#.#..............####.##.#########...#.#####.#.##..#.#.###.#.....#..#####....#.....#.###.#...##.......##.#..#...##.#...##.#.##..#.##.#########.#....##....#..##...##.##.###.....####.#..........#..######.#.#..#..##.#.#.##....##...#.#...#.##..#..##.##.##.#..##...####.#.#.#.##..#....##.....##....##....####.##.#.#######.#....#####.#..##.##..#.##.#..#.##.#..##.##.##..####...###..#.#.##.###.#####...##.#..#.##..##..###.#####.####.##..#.#.....#####.##..#.#.#######.##............#.###..#######..#########.#....#.####.######...#.###.###.##...##...##...##.##.##......##.###...##..#.#######......#.####.###....#.####..##..#.#..##.#....####....##.#.....####.#.###.#.##..####.#.##.#..##.....#####.####...##.#.#.....###.###.##.#.#
####.#..#.#.###.###.#....#.#....######.......#.####.......##...#.#...###.#.#.#.##..#.#############.##.#..##....###.##..###.#.##.#.....#.#..####.##.#.####.#.##......##.#....#.###..#.#####.#.####.###..##..##..##.##....#.#...##..#.#######.#######.#.##.##..##.###.###.....###.#.###.#.#.##..##...#.#####.###.#..#######......##.####.###..##.#.##..###..##...#.##.##....#.#.####.####....##....##.##..#.#.###..#.####.#####.##..##.#.##...#.####.####.##.######.###..##.####..#.#.#..##.##.#.##..#.########.....##.#...##..##.##.##.##..#.#.#####.##.##.######..#.#.#...####.###..##......#.#.#..########.###.##..##.##....#####.####.##...##...####.#.......#.##.#.##.#.#.#.....##.......##.....#.##..#.##.###....#......###.##..#...##.#.##.#..##.##...#.#..#.#.######..#..####.......##.#.#.#....#...#.#.##....##..#.##.####..##.#.#..##.#......#.#...####.#.#.#####....###.##.##....#####...###..#.#........#.#...#...#..#.#.#
#....##.#.#.##....#.###.#######..##.#..####.##.##...#.#.####.#.....#.##..###.#.###.#.#.##...........#.#.##..#####...##.#...####.##.#.####.#######..#...##.#.##.######....####...##.#.#..######....##..########.#.....##.#.#.#..##.#..##.......###...#.##.###.....##...###.#.##..#..##.###.#..#####.#.#.##....#.#.##.......##.###.....#...##.##.#.##.##...##..#.#..#####.###.#...##.##.#########.##.....##.###...##.##.......#.###.##.#.###.####.####............#.####.##..#.##.###.#.##..####....##........###.#.##.#.#####..#.##.##..#.####.#...####.##......##...###.#..##...##.####.##.#######......##..#....##.....##.#####.#..##...#.###..#....####.##.###.###################..#.###.####.#....##.#.##..####.##.#.##..##########.##.###..#.########.###.##.#.##.#...#####..#.#.##########.##.####.##.#.##.#############....###.#...#####.#.#.##.##.##.##...#...##..#.##...##.##.##...##..#.....####.###########.####.########
####....#####..#.##.#####.......##..##.#....##..##.####.##.####.####..##.#...#..##.#.#.###.#.####.#.###..##...##..###..###....####.######....##...##.#.#..#.##...##...##.##...#########...#.#..##..##....###.#...##.##..#.###.######..#.#.#.#...##.##..#...##.#.###.###########.#######...##.##.#..#....#.#.####..####.#.##..#.#####.#.####.##.###..####.##.##.#.##......##.#.#.#..#...#..##....####.#..#..##.#.####..#.#######...##.#...#........##.#.#.###.######..#..##....#.##..#.#####.#..#.###.###.##..##.#..#####.....#####.##.####.#....#.#....###.###..#.#.#####.##..#.##.####.##.....##..####.###.###.##..#.####...#.#.##..##.####...###.#.##.#.##...#...#.##.#.#.#......##.#..##.#....#.#######..##...##.#..#..##.....##.....##.#...##.#.###.##...#.##.#......#..###..########.#.#..#.#..######..###.....#.##...#####.##...#.#.##....###..#.##.....###.###.##.##..###..#.##..#.#....###.##..##............###.#####.##.##
####.##..##...##.##.#..########.#..#######.###.##..#....#..##.#####..##..########..#.....###.#....#.##..###.#####...#####..#.##......##...####..#.##.###.######.##..#.#..###.##...#.#####.#...###.####.#.#...###.#..###.#..##.##.#.##.###.#.#.#.#...##.##.##..#.##..#.#..#.##.......##..#..#.#..##.##.##########.#####.#..##.#.##.#.....##..#....##...##.##.##.###..##.#.#..######...#...####.#...##.#.##.#####....##.#...##.####..#.#.###.#.###.#######..##....##..##.##..##.#..##.#..##.....##...#.##...##.##.##....######.#.#.####...#..###.######.##.....#.##.#...###..#.##..#..##...##.#.##..#####..##.##...##.####...#...#.##.##.....##.##...#....#.##.#.###............#.########..######.#....#.#..###.###..#.###.###.#####.#.#..####.###........#.###.##.##.#.######.#.##.#.##.......#####...#.###...#####....#.###..##..##.##.#..##.#...#.####..#.#...#...###...##...##.###..##.#.##...#..#.##..#.#.#.########.#.##......#
#....##.####.##..##.##.....#.#..#.###.#......#..##.##.#.##..........#######.......##.#.#####.##.#.#..##.#....#.###.###....##..##.#.#.##.#....##.#.##.#...#.......##.#.##..#######....#.#....#.##..##...#####.....##.#...#.##..##...#...##.#.#.#.##.###.##.##.######.....##..#.#.#####..##.#####....##........#.#.##....##..#.#......#.#######.#.###.#..###..#....##.#..#.##.....###.######.#####.##..###.....###.###..##.##.....##.#.#..##.#.#####.......###.##....#######..#.##.#..##..##.#.#######..##.##..######.#...###.........#.#...##...#..##...###.#.#.####.#.#.##.#.###.######.##..#..##.....#.###.##.#.##....###.###....#..#.#.###...###.#.#.####..#...##.#.#.#.##.##...##...#.##..###.##.#...##...########..##..##..##.###.#.##......#.##.#.###..##..#.#..#.##.....#.........#####...##..#.....#####...##.#.....#.##..##..##.##.####.#.#....##.#.##.###.###..#####.##...##.###.#..##.###.#####.#.#.#.##.##....#.##.######
##.#.##.##....####..##.#.#...##...##....##.#########..#.###.###.##.###.##.#.#####..#.#.##....#..#.#.##..#.##....##.#...##.##.###.###.##.#.#.#####..###.####.###.##..#.##.##...#...##.#.###.##.###..#.#.#.....##.##..##.##..##.##.#...#.##.#.###..###...##..#.##.....#.#....##.#.....##.#...##.####..##.#.#.#...#..#.#.##..##.#.#.##.#..##.##..#.#.#.#.##...##.#######.####..#.#.#..........#.##..###...##.####.....##.#...#.########.##.##.#...####.##.#.##...##.#..#.#.###########.##.#####.......##.##..##...#.##.#.#...##.###.#.####.#.##.#...##..#..####.#....###....###..##.....##.###.##.#..##.####.######.#..#.###....#.#.##.#########.###..######...###.##..#.#.#.####..#..#.###..##......#.##.##..#........##..##.###.....##.#..##.#.#.####.#...##..#.#####.#....#.#...#####.#.###.#####..##.######.##.###..#.#.#...##.##..###..#....#.#.##.###..###....#.##..####....###.##...#.#.##...##.....###.#.#.....###.##.#...#.#.#
#..#.##..######....#####.###....#.###.#.#......##....####.###...##.##.......#.....##.#.###.#.##.#.#..##.#.#..#.##..##.##...###...##..##.#.#.##....#######...##...##.#.#...###...###........##.#...####.##.##.#...#.##...##..#.#..#.#.#.##.#..##.##...#..#.##..###.#.###.#########.#.##.#.###.......##..#.#.##.###.#.#..##.##.#.#..###.###....##...#.###..#.#....#.#####.###.#######.#.##.#....##.#...#..###..##.##..#####......#..#####..#.#.#...##.#..#.###.######...............#.#......##.######...##..###....#.#.#####....#.#...#########.#..##.#.##..#.##.#...##.#...#.####.#.###..##.##.#.##.......#####..#.#####..#.##.###..........#.#.##......###.#...##.##.###...######....###..##.#.#.#..####.##.#.##.###..##..#...######.#.##..#.#....#.#.#####.###.#.#.##.#####.#.....#.#.........##.##...#.#.......##.#.#.#.#.##.###...#.##.#.##.###....##...##.#######....###.######..#######..#.############.#.##.##.#......#.....#
##.#..##......#.#.##.....#...##.#..##.#.##.##.####.######.#####.##..##.#.#.####.#..#.#..##.#.##.###.#####.#.####..##..##.#..##.#..##..###.#..##.#.##.##.###..##.##..####.#####.#######.##.##..#.#.#.##..####.##.######.##..##.##.#.#.#..#.#.##..#..###.##.###..####..##.####...##.#..###########.#.#..####.#....######.####..#.##...#.#...#.####.##...##.#.##.#......##..#....##....#.####.#.##..##.###.###.######.##.....#.##...##...#.#######.######.###.#.#.###..#####.##.#########.#.###.......#.#.###.#...#.####....###.#.###.#.....#..##.#.##..#..#.#####.#.###..##.#####.###...##.##..#.#####.####...##..##.....##.#..#..###.#####.###.#....#.####.####.###..#.##..#..#.######..##.##..#.#.#.##..#..#.####..######.##.#...###..#..#.##.##.#####....##.......###...#.#..#.#.###.#.#.#.##.##..#..#.....#.#.######.##########.###.#..###.#....###.###.#..#..#...##.##.#........##.##.#.###.#............#.####....#.####.##.#.##
####.##..#.####.#..###.#.##.###.#.#####.#...#.##...#..#..........#.##..#.#.##...#.#####.#..#..###.....##..#..##..####..###.######..##...###.##..#.##.##.....##...#####.####....#........#..##.###....#.##....##...##....##.##.##.#.#.#.####..##.##.##..##..#####.##.##.......#..###.##.......##..###.##.####.#.######.....##.####.#.####.##....#..#.######.##.####.#..##...##..###.##...####..##.#...##......##....######.####.#.##.#.#.#.#.......##...###.......##.....#.#.....###....#..##.##.#.##.#..##.##.##....##.#..##.#.##..#.#.#...###.#####.##...#.#.###...##.##..###....#.#..#.##.##.##......########.##.#.#.##.##.##...#.....#..##.##.#.#.........#.#...##.###.##....#.####.##..##.#.###..##...##....##....#.#.#..#.#...##.#.####..##....##.####..#.#.###...#...##.###..##.#.#.#..#.###.#.###.#.##.#......#..#.##..##..##..##.###.#.#.######...#.###...###..##.###.##.#.##.......######.##.#####.#.#....##......#########
#....###.#..######..######..##..#....#####.######.###...####.##.######.#.#.#..#.#.....####.#######.##..##.#.####...##.###......##.##..#..##.###.#.#.....###..###.##.........##.#.#.#.##.#.##..###.####..##.#..##.###.#.##..##.####.###.##...##..##.###.##.##.#.......##.#########....#######....##........####.##.#.###.#######...#.##.#..##.####.####.#...#.....#.#.##..#.##.##....###...##.##..#.###..#.##..####.#.........#.#....###...#.###.####.#...#.##.#.###.########.##...###.###.##.######..#.##..#...##.###..#.#####.###.#####.#...#...#.######......##.########.#.#.############..#.##.##.#....##.##.##.#.###...#.##.###.#.#.#.########.#.############.##..#....##.#......#######..#..##.####.####.#..#.####.####.#.#.#.#..#..####..##.#.####.#..##.#...###.###.##.###.##..###.#.##..##.#..##.###..##.#.#.#.##.###.#..##..##....#####......##.##.#.#.#...##..#####..#.###..#######.#.####......######.#####.######..#.#.#
#.##...#.##.....##.##.#.#..####.#.#.##.#........###.#.#.#....##.....####.####.###.###.#....##.......##..#.#....##.##..##..##.#..#.#..######.#...####.##..##.####.#..##.####..#.#.######.####.##......####..#.##....#.#.#..##...##...##..###..##.#..#...##.##...##.#.##.....##.#####.##.......##.##.#.##.###..........##.#.#.##..#.#.##...##....##......#.#.##.#.####.##.##.##.##.#.##...####..##.###.##.#..##....#.###.#.#####.#.##...#####.#....##..#.#.#.#..#...#......##...#.#..##...#.##...#.#############.######.##...###..##.....#.#.#.#.#.....##...##.#..#..##............#......##..####..#..#.##....#######...##.##.##..##.#.#.###........#....#.#.#.#.#..##.###.##..###.##.###..##.##.###..##..##.#.####.####.##...#.#.#.##.##....##.##.#....#.##..#.#.#..##.###.##.#.#..##...#.#####..####..#...##############.#.#...########.#.....##.#####..##...###.#####.###...##.####..............##.##.###.##...##...####...##.#.#
#.##.#.#.##.#.#######...##..#.#.#####....##.#######.#.####.#.#..#.#..######...#.....#.###.######.##.##.##.#.#####.#..####.##.##.#.##......#.#.#.###..##.##.....#.#.##..##...##.#.##.##.....#####.#######..##.##.#.##.####.#..###..#..##.##..######.##.###..##.##..#####.##........###..#.##.###.####..#...##.#.##.##.##......##.#.#.#..#######..##.#.#####.##.###.#..####..##.##.#..###....##..####.....#.##..#.##.#...#.....#.######....##.##.#..##.#####.#.##.####.#.###..#.#.####..#####..#....#.....#.#......#..#.#..#...##.#..#######.#.#.##.######.##..#.######.####.#.#.#.#.####..##.#.###.##.#..##.#.....##..####.##..##.######.######.##.##.####.......##..###....##.##...#.....###.#..##..####.##....##........##.##.#.#.##.###.####.##.##.###.#..##.####.##...#.##...##..##.##.....#.##..##.#.#..##.##.#.#.##......#.##...#.###.###.##...#.##.##.#..######.....#.#.##.#....####.####.#.#####.......##.##..#......#......#
#.##.#.####.#....##.###.##.##...##....##.##....##.....######.#.##.#.##.##.###.###.#.#.#...#..#.###..#...###..##...##.##....###..######.##.#.###.#...##...##.#.######..##..#..#.###.....#######.......#.#.##..##.###..##.#.##...##.#.##..#..##.#....##...#.##..##.##.....####.#.##.##..##.#..##..#....#########..#.######.##.#####.####....##...#####...##..##.....####.###.##.##.##..##.##.#####....#.#.#.##.##..#####.#.#.#.#.##...###.##..##.#.###.....#####....####..##.####...###...##..###.#...#####...##.#...##.##.##.######.#.....#.#.#..#...##...###.#......#.#....#.#.#.#.#######.....########.#####.#.####....###..###.....##...#..#.#..##......#.##.##..###..#.##...##.###.##...#.#####.###.######.#####.##.#.##.##.###..#.#....#.#..#.##...#.#####...##.##.#######.##..######.#.#.#..##....#.##..............######..#.###.###...####.#....#..#.##......##.##.#.#..####.#.##......######..##.##.#######.##.#.#.##.###.##
#.##.#..##..##.#.#.......#..###..##.###..##.#.##..##.##.#....#.####.#.....#.###...###.#.#.##.......##.#.###.###.#..#######...##....##...#.#...#####.###.#####..##.#..######.#####..#.#..####...##.#.##....##.#...###.#....#..#.#..#.#####.##..####..##.######.####..#.#....#####...##..########.##.#......#.#..##......#.##.#.##...#.##.###..#..#.###.####.##.###...##.....##.##..##.##.#....#.##.#.#####..#.###.###...###.#####..#.#######.#..#.##..#.#..#.#..####.##.###..##..#..##.#..##.##..#.###...#.###..##.##..##.##.....##...###.#.#.####.#..###...#.#.#.####.##.#.#.#.#......##...#.#....##........#.#.#.#..##...#.##.###.#.##.#...#####..##.##.##..#..##...##.#..##.###...#.##.###.#.......#..##........####.#..#.##.##..##.##.#...##.#.##.#.......#####..#.....#.#..###......#.#.#.##..##.#.#..##.#.#.#.#.#.#......#.##.......##.##....#.#.###.#.###.######..###.#.##....#..##.######.#.#.###..####.##.#.#..###..#...####
#.#####..##.##.#######.#...##...###.##..##..#..##.##.#..####.#...##.##.##.......#..##.###.#..#.#.#.#..#...####..#.####.###.###..#.####.##.#.#.#..##..##.##....##....##......#.##..#####.#....####.####.#.##..#.#...###.##.##.#.####...###..##......##....##......##.####.#.##.###########.#.....#..##.###...##..#.#.##.######.#..#.#.#...##.###....##...##.##.#####.#..#.#######.###..#.##.#.#.######.....####.###.###.##..##.##.####.########.#..##.####...##....#..#...##..##.##.##.##.##..##.#.#.#.###.####..#..####..##.##.###.#.#######...##.######.###.#.#...##.#..#.#.#.#.#.##..##.####.#.##..#.#.#.####...#.##..#.#.....##.#..#.#.#..##.##.##..#..#.##.###.#..###.###...#.#.####.######.##.#...#####.####.##.###.##..#..#.##..#..##.##..#.##.##.#.##.....#.##.#.#...##..##.###.####.#..#.##..#.#.##..#.#.#.###.##.#.###....########.##.#.##.#...###..##..###.########..##.#.#.##.....##........#####.#.#..####...##.##.###.#
#....##.##...#.##......##.#####.#.#####..##.##.#...####..#.#.#.####..#####.#.#.###..#..##.##.###.####.#.#....##.#.#..........#######...##.###.##....##...##.#..###.##..##.#.#....##.....###.##.......#.#.#..##.##.####.#..####.##...#...#######.##.##.#.#####.#######....#..........###.....##.###.##...#.#..#.##.#..#....##....##.#...#..###.##.#.##.#..#.#.....##.#.##...#.##..##..##.##.#...#..##..#.#...##.##.......##.......#.##.#.####.#.#.##....##.#.#..##...##.####.##..#...###...##.##.#.......###....###...###.##.##.#.#.#.....##..#.#....##.....#####.###..##.#.#.###.#####..###..#.#..##.#.#.#....#.###..##.###.#.#..###.####.##.#.....#..###.#.##...#.##.###...#.###.#.##......##..#..###..##......#......#..#.###.#.#..###.##.###.#.##.##.#..##.#########.##.####.##...#..##..#.######.#.#####.#.#.#...#.##.#..##.##.######.######.##.##.#########......###..##.#####.#..##.##....##########...#.##..##..#.##..#..#..#
#.#.##..##.#.#########.#...##.........##.#...###########.....#....#####....#.#..##.##.##...###.....####.######..#.#.#.####.###.....#########...####..#.#######.#...##.#########.####.#.##....###.#.###.####.##..###....##....#####.##.#.....##..#...###.#.#......##...#.###.#.#.##.##.###.#.#..#...##.#.####.#.##.##.####.##.#.##..#.###.###.....#..#.#.##.##.##.##.#..##.##....###.########.#...##..##.#.#.....##.####.##.#.#.#.........##....#####.#########.#..#..#....#..##.#.#...##.##...####.####...##.#...#.#..##.##.##...#.#.##.##..##.##.###..#.#..#.#######.#..###..##.....##.....#####.#..#.#.##.#.#..##.##....#.#.#.##....###..###.#.###.##.###..##.##.##...#.#.#...######.#.####..###..###..##.##.###.#.###.##...###.#.##.#..#..##.###...######......#..##..#..#.#.#######.##.##..###...#....##.#.#.#.#.#..#.#.##..##............##..#.#.....###.###.#.#.....##......###.##...##.#....#.#.#.#.###.#..######..#.###...##
#.#.###.##.#..#.#.#######.#####.##.#.##..##.##...#.#.#.####.##.##..###..#.##.#.##...#..##.##...#.#.#.........##.#.#.#.#........#.#######.##..#####..##.#.......###.##.#....#.#....##.#.####.##...#...####...###.#...##.###.#.#.....##.##.##.###.##.##.....#.#.##..###.#####.###..#.#......####.##.###.#...##.#..####...##..#.#.########....#.#.#.#.####.##.##..#.##.#.##..#..#.##...#.....##.##.#######.###.#.####.##...##.###.#.####.##..########..........##.##.#.####.##.##..#.##.##...##.###.######.####.##.########.#..#..###.######..#####....##.#.##....###..#.##..###.##.#####..###.....####.#.#..#.#.#.###..##.#.#####..##.#...#.##...#.#.......##.#####..#..#######.#....##..#....##..##.##.#.###.##..##.#...#####.####.#.#....##.######..#......##.#.#...##..#####.........#.##.##.##.###.##.####.###.#.###.##.#..##.###.#.####.##..##.#.#.#.#......##.#.#.##.####.##.####.###.##..#.#.##.#.#...#.#...##.#..#.##.#.#.#..#
#.#..##.##.##.#.............##...#.#############.#.#.#.......#####.#...##.####..##.##.###.###.##.###.#.#.#.#.##.#####.###.#.#######.......##..##...######.##.#.#....#.##.#.....#.##..#.#.....###.##.##..##.##...#.#.#..#...####.##..#.##.####...#...##.##.###.##.##....#.#....##.###.##.#.#..#.##.##..#.###..#.##....####.####..##......##.#.###.#...#######..##..#.#.###.##.######...#.####.#....##..#...#.#.##....###.##...###....#..##..#..##.##.#.##.##.##.##.#....####..##.###..##.#.#..#.#..##..#..##..##...#.##.####.##.##.......##.....#.##.#..#.##.#.##...####..##...#......##..##.#.####.#.#.#.##.#.#...#.###.#.....#.##..##.##..###.###.#.##.##..#...#####....#..#.##.#..##.##.#..##.##..#.#...####.###.##.###.####..########..#....##..##.####..#.#.#.#####.....#.#.##.##########......#.##....#..##.###....#.#.##....#.#...##..#.##..#.#.###.##.#.##.###.##...##.####....#....##.#.####.....###.#.###....##.##...######
#.##.##.##..#########.###.######.#.....##.###........#####.#..######.#.##.#....##..##.#.....###...##.###.###.##.#####.##..#.###.#.#.#.#.####.####.###.#...##.#####.########.#.##.###.#.##.#.##....#####.#..##.###.####.#.#..#.#.##.##.##...####.##.##...#.#...##..##.#...##.#..#..#####.####...##.##.##...##.#####.#....#..##..####.##.#####..####.#...##.##.###.####..##.##..##.#..#.#....####.#..##...#####.##.#.##...#..#...#.#.##.######.##..##.####.##.##.##.#.#.###.#####...##..######...#.##..#######.#..#......##...#..##.#.#.###..#.#.#..####.###..#....#....##..##.###.##.####.##.#.###....#.#..###.###.####..#.##.##..##.##..#.##....##.#..#.###...######..##...########..#..###.##...##.#...#....#...####.#.#..##..###.#.....##.#.####.##...##.##.#.#....##.##.######..###.##.#.###.#.##..#.##.#.##...##.#.####.#..#.##.#.####.##..##.#.#...#..#.#..#..##.#..###.....##.####.#..#.#......##.##.........#.######.#......#
###...####.####.......##....##...###.#.##.#.####.###....#..##..##..#.#########..##.##.#.##.######..#.##...#######.#.###..##.........###..#.###....#.#.###..###......##.##.#.###...##.######.####.###.#....##...##.##.#.#.##...###...#.####.#....##..#.#.#.###..#.######.###.##.#.##.##..##...#..#.##.##.###....#####.####.####...##.##.#.#...##.##.##.###......###.#########.##....##.#.##....######..#...##..##.#.##.####.#.#####.##...........###....#.##.##..###.#.....##..#.#.###.##.....#......##..##...#.##.#.#.##..#.##.##.#.#...##.#.###.##.....##.##.##.#.##.##.##...##.#####.####.#...#.##.###.##....##..##..##.########..##.########.##.#.####.#.#...#..##..##.##.#.###..###..######.##..##.##.#.######........###.##.#.###.#..###.#.####..#..########.#.##..##.#.#.###............#.#####.####.#..#.#.####.#.##.#.##..#.#....#..##.##.###.###.##.##.##.##.##...###.#.##...##.#.#####.##.##.....##.##.#.###.###..##.#.###
#...####...#....###.#..####.####..##.#.#......#..#...##...####....####.........##..##########.##..####..#.....###....#..####.#.#.##...##....###.#.....##..##...###.##........##.#.#..##.....#........###.####.######...####.#...##.##...##.###.##..##.#.###...####..#.#...#..###.##....##..#.#.##.##.##..###.#..##.....##...###.#####....#.#.#......###.##.#.#...#....##.##..#####.####..#.#####.#.#.##.#######..#.#..###..#.....#.##.#.##.##.#.#.##.###.##.#..###..##.##....##.#.#...###.#####.######.###.#.#..#######..##.##..###.#.######...#.###.#.##..#...#############.##....#......###.#.#.#..##..###.#..#.####.#.......##..##....#.#....##.###.#..#.#####.####..###..#.#.#.##.##....##...##.##.##.#......#.#.#.#.##.#.#......####..##....###.###..#...##..#####.#........##.###.#.###.#.###......####.###..###...#######.##.#.##########..###...#..#.#...#.##.##.#...#######.##..#.##.....#####.##..#..#.#.......#####.#..##
#.#....###.#.##.#...##...##..###.###.######.#...#######.#...##.##.##...#.#.#.#..##..###...##.....######.#.#####.####.##...##.#.####.#########...#.#.#.#..####.##...#..##.#.#.#######..##.#.###.#.###.#.....#######.###.#....##.##...###.##.#...##.###.#######....##.....#.#.########.#.#####.#.##..#####...###.####.#.###.#.#...#.#####.######.##.#......#.#.##.##.####.....##......###.##..##.......#...##..###.######.##.#.########.#.##..#.#....#..########.##..###.###.#.#..#.##.##...##...........#.###.##..#.#.#####..##.###..#......#.#####...####.##.#.....#.#.##.######.#...##.#...#.######..##...#.#.##...##.##.###.####..##.#...###.##......##..........#.##.####.....###...#.##.#..####.##.##.#.########.#.#.#......####....##.##.##...#...##...#.##.###.#..##.########..##.#.#####...###.######....####...#.......#..###.##.##..######...###.##.##.####...#.#.#.#.......##.##.##.#.#..#.#####.#######.####.##.#.####..#
#.#.##.##..#.####.#.##.###..##.....#.##.#...###..#####..#.###..##..##.##.###.##.##.##.###....###..##....#...##........#.###..#.##...#.#.##..###.#.#.####.#.....##.##.#####.###.#.#.####..#.#...###...###.###...##......##.#..#.#..#...#.##.##.##....#.###.....#.#####.#.#.#.....##.#.#..##...#.######.#..#.######.#.#...###.###.#...........#####.#.#.#.##.#.##......##.##.##..#.#.##.#..#.##..###.#.#.#..##.#.###.........#.####.#.#.#.###.#.#.#.###....#.#.#.##.###....###.#.##..###..#..##.##.#.#.#....##..##........###.##...##.#.#.#.##...##..#....######.#.#.#.......###...##.#########....##..##..#.#.####.####.##...#...##.##..#.#.#####..#.#.#####.#.##.###..#......##.######....####....#.#...###.......##.#.#...#.##....#.#.##...#.##.#.#.#..##.####......#.###........####..#....####..##..###.##.####...#.#.#####.##..##.......##.#.####..#######.....##.##.#.#.##.####..#.##.##.####.......#...#.##....#####.....#####
#.#..#.##.####.#..######...###.##.####..##.##...##.....##...##.#..#########..#..#..##.#.#.##.###.####.#.##.######.###...######..#.#......##.....###...####.##.#########.#..##......####.####.#..##.####...##.#.#..##.#..####.####.#.###..####.#..#.##.#...##.####..##.#.###.##.##....##.##.#.#...##.....##...##.#.###.#...###...##.###.#.##...##..#####.####.##.##.###..#...####.#....##.#####...###.#.##.......##.##.#.#.##........#.#..##.#####...####.#.#....#...##.##############..##.###.##.###.#.######.##.########.#.##.#.##.#.##########..##.#.###.##..#.#...###.###.###..#.........##.###..##..##.#..##.....####.#.#.#..###..##.###.....##.#.##....#.#......##.#.#.###.....####.###...#.##.###..##.#.##########.###.##.#.##.#####.##.##.#.####.##.#.###.##.####...##.#.#....##.#.####.##.####......###..###.#.#....##..##..#.#.######....####....#.##.#.#.##..#.#.#.#..###..##.##.##...##.##.#.######.####.##.#.#.#####...#
#.#.####..##...##.###....#...####...###....#..########.##.#.##.##..##..###..###.##.#.......###...##...###....###..#...#....##..##.##.#.#..#.#.#...#.#.#....##..#.#........########.......##..##..#.#....#....###.##..#####.#.##.###.#######...##.#.######.##..####.##.#..##..#..##.#..###..###.###..#.#..#.#......##..#####...#.##..##.#.########..#.#...##...#.##.########.##...#.#.##......#.#.#...#.##.#.###..######.#.#..########.#.##.....##.####.###...##.##.##......##...###...##....#.##..##.#......#.##.......##....###.#..#..#.#.###.#########......##.#.#...###.......##.##.##.###....##..#.##..#.####.##....#.#.####...##..#.#######..#####..#.#####.#.####.#.#.##..#.#....###.##.##.##.##..##..#..######.#...####..#.#...##.#.##..#.#....#.#......#.####..##.##..#.#.#.##..#.......####...#.#.#####...#.#.#.#.####.#####.#...#.#..#.##..##.#....###.###..####.######...#####..#..###...#.#.#.#.....#####.......##.#.###
#.#.##...#####....#...#.###.##....#.#.###.###.#........####.##.###..##...##.#....####.#.#.##...#..###...##.#.#...###.###.#.##.########.#.##.#.##.#######.#######.####.#.####.##.###.#.#.##..##..##.#.#.##.#.###..###..##........###.....#.#.#.##.#..##....##.##.#.....#.##..##.##..#.###..##....##.##.#.##.#.########.....##.#####.##..#........##...##.##..#####....#.##...##.#.#.#####.#.#########.#..###..##.##..###.#.##.......##.#..###.####........#.#..#.#..####.##....###.##.###.#.##.##.##..########.#..#.#######.#..##.##.####..........#.#..#.#.#.###.###.########.#.##...#..#...##.###..##..####.##....#.####.#....##.####.###.......####...##....##.#....#.#.#..##.#.#.##.....##..####.#..####.##....##....#....#.##.#.#..#.####.####.#######.##.##...#..##...#.##.#.#..#.##.#.#.#....##.##.#....#..#.###.###..##...######.#.....####..###.#.##..#######.#.########..#.....#####..###.####.....#.#....#..#.#.####.....#
#.#.##.#.##....#.##.#.#.#...##.##.#.#.....#...##.#.#.#....#..#..##.##..#....##.#.#....#.#####.###.##..#..###.#.#.#....##.#.##...##..##.########.....##...#...###.#....#.#...........#.#.###.#..##..###.#..#...##.#...###.#.#.#.##...#.#...#####..#.##..##.##.#....#.#.#.###..#..##.#.#...#####.##...#.#.##.#...###.#..#####...##.###..###.###.#.#..#.##..##.....##.#....###.##.#.#..#.##.#.##.##.....##.###.##...##.....#.###.#.#.###.##.#......##.##########.#.##..###.##.##.....####...####.##..##........####.#####.######..#.#...#...##.##.####.#.######...#####.....####.#.###.##.####..#####.####...##..##.#.#....###.#####.#..#.####.####....##.##..####..##########.##..#######.######....####.#.##..##.#..##.#.#.####..#.#.##...##.#...##.....##...###..#...###.#.######.#.##..#.###.##.####.#..#.##...####....###..#.#.....####.#.#.#.##.###..#####.......#.....##.#...##.#.#.###.##..##....#.#######.##...####.###..#####
###.##.#..####.###..#####.#.##.#..#.###.#.###..###.#.##.######.##...####.##..#.#.#.##.#..#.#..##..##.###...###.#.#.#.##..#..#.#....##..###......#.###..#####...#.###########.#.#.##.#.#..#####.###.#...##.##.#####.#.#...#.###.##.#.#.#.#...######..##..#.#..#.##.#.###...##.#.##..#.#.#.#..##..##.####..###.#.....##....###.##...#..##.....#.#.##.###..##..#.###..#.#.##...#..####...##.#....##.######.#....##.####.#.##.#...#.#.#.###..#.#.##..#.#########..#####.#.#.##..###.#..##..#..##...##.##.#.##.#..##.........#.##..####.#...#.#######.##....##.#..#.#.....###....#.#..##..#....##..##....#.#####..##..#.##.#...#...##....##.#..######.#####..##...###..........#####...##.....##.#####.#.......##..#.##.#..#.#....#.##.#####.##..###.##.##.##..#...#####.##.#.#...#.####..##.#...####..##..#.##.##.#...###.#.#...##.#.#.#....#.#.#........#####.##.#####.##.#.###...#..#.#.#.#......##..##.###.##..#####.##..###.##...###
#....###.###....##.##.....#.##.##.###...#.#...###..#.#..##..##..##.##....###.#.#.#######...##..##.#..#.#####...#.###..##.#.##.#.#.####...#.##.###..###.##....#...###.#.#.....#.#.##.#.#.##.#.....#.#.#.#...####....#.###.#.#...#..###.###.#.#.####.####.#.##.#.##.#.#...####.#..##.#.#.#.##....##...##..####.#.#.#.###.#..##.####...######.####.#....##..##.#...##.#.#..###.##...##.###..#.#.######.....##.###.....#.#.#..##.######...####.#..#.####.....#.##.##......#.##.####.#.####.##.###.##..##.#.####.###.#.##.##....#.###...###.#...#.##.....#.##....#####.##...#########..####.#.####..##.#.......##..#.#####.##.##.####.#####.##.##.........#.##..#..##.#.##.######.##.#..#####........#.#.#.#.#.##.####..##.###.#.####....#.#....#########..###.#.#.....#....#.#.#.....######.#.#.##.##.###.#..#.##.#####.######.###.#.#.#.#.##.#.##.##.#.##......#.#.#.####.#.#...###.############.##..###........###.##....####.##.###.#
###.##...##..#.#######.##.#.##.##..##.#.#.###.#...#####....###.##...##.#.#.#.#.####......###..######.......#######...##..###..#.###.#..###.##.##..##....##.#.#.#.........##.##.#..###.###....##.##.#.###.#....#.##.###...####.###..##...###.#.......##..#.##.#.#..###.#....###.##..#.#.#..###.####.###.###...#.###...###.##..#....#...###.....####.##########.###..###.##....##.##...#####.#..##....#.#.#....##.##.######.##.#.#....####...#.##...###.##...######.#.######....###.##...##...###..#####..##....###..#.##.##.#...##.####.#.#....##.########.#...##..##.#####....###..#######..#.###.#.##.#.###.#######...######..#.....###.....####.#######.##.###.#..#.....#..##.##....##.##.##.######.#.#..#....##.#..#...#...####.##...##.##.##...##..##.#.#.#.########.#.#.###...##...#.#.....#..##.#.##.##...#.#.....##...#.#.#.#.#..#.#..#.####.##.#.#.##........###.#.#.###.....#.#.##....##...#.#.#.##......##.#.............#
#....###..####....#.####..#.##.##.#########...#.#..##.##.###.###..#.#..###...#####..###.####.###.#...##.#.###......#..##...##.#.....##...#..###..####.###..#.###.#.#.#.#.#..##.#.####.##..####...###.##..##.#####..#####.#......##.##.#######.#.#.#..##.#.##.#.#.######.####...#####.#.#.##...##...##....#.#.#..##.#.###..##.#.##.##.##.##.####.....#.....##....#####..##.##.#...###.....#.#.######.#.#.#.##.##.##.##.....#......#.###.###.#..#.#.....##.#......#.#....##..#.##....###..#.#...##....##.#####.####.########.#.#.#.....#.###.##..........####.#..##.#........####.#.##..#.##.####...#..#.#.#.#....##...#..##.##.############.#.##......##.####...#.#.###.##...###.###.#.##..#..###.#.####.##.#.#.##..##.#.#.#.#...##.##.#.##.......#..##.##.#.#.#.......##.#.#..########.##.##.#####..###.####..#.....#.#.#..###.###.####.#.#.##..##.....#.####.##.#######.#####...#.###......##.###.##.###..##.#.####.#.##.##.#.#####
##.###...###...####.#.###.#.#..##...###.....#.#.#.##...........##.####.##..#.#.....####.##...##....#..#.#...#####.##.##..#.#..#.##.##..#.##..##.###.....##.#########.#.####..#.#.#.....##.##...#...#..##.#..###...##.#...##.##.##..##.....###.#.#.##.##.###..###.##..##...####..#.#..###.##.#..###..##.#.###.####..#...##.##.#.##.#.....##....###.#...#########...##..##..##.###.#.#.##.##.#.#....#######.##.##.#..##.#.#.##.###.###.#...#.##.#.##.#.##..#.#.##.#.#.##..##.#######..##.####.#.##.#.##.....##....#......##..#.#.##.##.#...#..##.#.#.#####.##.##.##.##.##.#######.#....##.......#####.####.#.###.##..#.##....#...........##..#.##.#.##.......#####.#...#####.##.....#######.#.####.#.#..###..#.#..##..#####.#.#.#..###..#.##.##.####.##..##.#.#.#.##########.##.......##.##..#...#.##.##....##.###.########.##...##..##.###.#####.#..#.#.#####..##.....#.#########.#..######.##..#...#...##.###.#..##..#.#######.....#
#..########..#...##.......#.##..##.##.##.#.##.#.########.#######.....###..##.#.#.###.....###..##.#.#.####.#.#.....##..#.#####.#..#.##.##..#.###...##.########...#.#..#.##...##.######.##..##.#.#.###.##..##...###.#....#.#...#..##..#.###...###.#.##.##...##..##.###....###..##...##.##..#####.###.#####.###....######..#..#.#.##.#.#.####.#####..#.#.##.##.#########..##.######...#..#..###.##.#.........##.##.##..#####.##...#.......#.#.##.###..#.###.#.#..#.#.#.#..##.....##...###...##.####.####.#.###..##.#.#.#.###.####.##.##.#.####.####.#........#.##.##.##.#..........#.##....##.##....##..##.....####..##..##.#...##.####.#######.#..#.##.##.#######..#.#....#####.##.###..##..#....#.#...#####.########.#.....#.###.#######.##..#....#####..#.#.#.#....####..#.##.####.#####..##.#....#####.###...##........####.#..##.....##.....#.##.#.####..##..#.#.#....##.#.######..###....##.###.##.###...#.######.#.......#.#####
####.####.##.##.##..##.####.##.###.##..###.##.#####.##.........#.##.###..##..#.#.####.##..##.##..#.#.#.#..#.####.####.###.....#.####...##.#.##..######.##.#.###.....##.###.##..#......##.###.###...#.#..###.#..#####.###.#.#.#.####.#.##..#...#.#.######.####.##...##.#.....##..#.##..##..##.###.#.....###...##.....##.##.##.#.#..#.#.##...###...##.#..........#.##.##.##.#......#.##.##.##..#..#.#.###.#..#..#####.###....##.###.###.##.###...###.###...####.#.#.#.#.###.#.#####.##...####.##......###.####.####.###...####...##.#..#...##...##.#.######.######..##.#.#.#.##.#######.#..#..#.####..##..#.#....##.##.##..#.#.##....#####.....##.#.####........##.#.######.#.###......##..##.##.....#.....#..#.###...#.#.#.#.##...#.##...#..###.#.....##.###.#.##.#......####.....#...##..#####.##..####.########.####.####.#.#.####.##.#..##.##.##.#......##..##.###.##...........####.##.#..#.#...##...#.###...#.##.##.#.##.#.###.#
#............##..##.##.#.....###....##.....##.#......##.###########.#...####.###.#.#..#..##..###.#.#...#.##########.....###.###....##.##..#..##..##.#...#.#.####.##.####...###.####.#.##.#.....##.##.#.##...##...#.#####.#.#.#.#.#..#.#..##.#.###..##.....##...##.##..#.#.#..##.#.#..####.#........##.##...###..#.###..##..###.##.###.##.#...##.######.##.##.#.#....##..####.###.####..#..##.####.#.#...##.##....####...##.#...##...#.##.##..#...#####.#....#.###.###...#.#...##..####.##.#####.#.#..##...##....#..####....###..####.##.##..#.##.#...####......##.#..#.#.#..#.......###.#####....##..##.#.#.#######..#####.#####.#####...#.#..###....#.#.#.#####.#...........##.#.##..#.##..###.#.##.##.###.....#.#.#.#.#.######....##.###...####.##.##.##..#.#..###.####..###.#####..##..##....##..##....####......#......###..##..#####..#.##.####.####..##..#...######.#######..##...#.#.##.##.###.###..##.###..######..#.#.....#
###.###.#.##..#.##..##.##.#.###..#.######.######.#.#...........##.###.#..##..##..#...###..#.##...#.##.##..##........##.##.....##.#..#.##.###.###.##...#.#.#.#..####....##.##...#....#.#..##.#.##..##.#..#.#.###.##..##.#.#.#.###...##.#.###.#.##..######.##..#.##.#..##.#.#.##..####....#.#.###.##.##..###..#####...#.####.##..#..#...##.##.###..#.##..##..#.#...##..##.##.###....##..#####..##...#.##.##..#..####....#.##.###.###.#####..##.#.####..###.####...###...#####.#####....#.....##.###.#.##..#..##.###.##.###.#..##.####...#.#..##.#..#.#....#.#.#####.#.##.#.#.###.#.#.###.....##.#.###.##..###..###.###....##....##.###.#####.####...#.####.#.....####.##.##########..#.##..##..#########....###.#.###.#.#.#....##..####..##..#..#.#########..#####.##.....#.##.......#.#########.###.#####.##..#.##.###.###.##...####....##.##.##..##.....####..###.###.##........####..#...#########.....#.##......####.#####.#.#.###
#....##.#####.#####.#####.#.#...##.##.....#.########.#.#.#.#.#....##..##.###..##.##.##...##..##.##.#..###.######.#.##..####.#######.#.##...###.#.##.#.#.....##.#..#.####..##.#.##.#.#.##.##.#.###..#.#.####.#.#####......#.#...#.#..###...###.##.###......##.#..#.##.##.###..##.##...####.#.##..#...##...##....##.#.#.#....###.##.##.##..#....##....##..#.##.##.####.#...#.#...#.####.#.#.##.#..#.#.#...##.##...##.#.##..###.....#...#.#######......####....#.####..#...###...#.##.#####.####.....####.###.#....#......####..###....#.#.##..###.##.##.#####...##..#.##.#.#...#######.#.########...#.###...##......###.#.###.#.##.......##...####.####....#.######.#.##.......#.#..##########.......###.##...###.##..#.####.#####..####..##.##.#.##......##...##..#..#.#....#########...###..##.#.###.##...#.####...##...######..##..#.###..#.#..##..###....#.##...#....#.#.##.#########.#....##.....#.###..##.#.#..#.......#.#.#.###
###.#######......##...##..###.#.##..#####.#.#.#.##...#.#.#.#.#.#.####..#.#...##..#..##.#..##.##.##.##...###.#....#..##..###.......#.####.###......#########.##.##......##.#############..##.#..##.##.###.#......#.#.##.#.#.#.#####.##...#.##..#....#####.##..##.####.##..##.##..####...####.###.###.##.#####.#..###.####.#...#.##.##..#####.###..#.##..#######.....#.#.#.#...#.#.##........#.##.#.#.##.##..##.#.##.#..##..##.##.##.#....#..####.###....#.#.##..##..##.#.#.###...##.....#..#.#####.##.###.###.#.#####.#..####..##.#.####.###..####...#.....###..##.#.#..#.##.###.#....#.#####....#.#...##.###.###.##...#..##.#..##.##.###..#...##....##.#.#........###..#.#.#...##...##.#.#.#.#######....#.#####..####...##....###....##.##.##....#.######..#..##.#.##.##.#........####.....##.....##.####......##.##..#...##...####.###...#####..##...#.##.######...#.##.#.##.......######.#.##.###.#..##.##..#.##...#.###.#####.#.#
#...##......##.#..##.####.##..#.#..###....#........#.###.#.#.#.#..##..#####.####.##..###.##..##.#..#..#...#.##.###.##..##.##.##.######.#...######..##.............#.#.###.....#.###.....##..#.##...#.##....##.###....###.###....##..###.#.#..###.###......##..####...##.###..##..###.###.##.#.....#.##..##...##...####...#.###.##.##.##......##.##..##.......##.#.##.###.###.#.#..#.#.##.###.#..#.#.##..##.##.#.#..#.##..##..#...#.##.#...##......##.########.#######.#....##.#..##.##.##.#.##........#....#.#.#.######..#.##..###...##...##..###.#.#.###..######.#.#.##.##.......#.##.....###.##.#.#.#....#...#.##.#.##..#.####...#..##.####.###.###..#.##.##.#######.#.#.##.##..#........#.......##.#.#.....#.######.##..##...##.#.#..#..##.##......#.##.##..###..#.#..##.#.#.#....##.##..##.####...#.####.###...####.#..##.#####.#######.#.#.##..#.########..##.##..###..#.##.##....##..########.#.######.##.###.##...####.#....#
#.#######.#..#.##.##.#.##.#..##.##.#...#.##.##.#.#.#..##.#.###.##..####.#....##..##.##...###.##.##.####.###....#...###.....#.##........########...######.#.###.##.#.#.##..##.##.....###.##.##..#.#.#.#..#.###...#.#.##....##.#.##..####.###.##....######.##..###...#..####..##..##.#......###.##.##..##.#..#.##.#..#.#.###..##.##.##.##.#.#.###.###.##.##.############....####.#.##.#.##.##..##.#.#.##.##...#.#.##.#.###.###.#.#.########..##.#.###...###.#.#.....##..##.####.#.##...#.#.....###.#.##...#.##.#........#.##..#.####.###..#####...###.#...#.##..#.###.#..#.#..#.#.######.#.#.##..##########.##.#.#.##.####.##..##..#.##.####.....##...##.#..#.##.......#.#.#.#...##.#.##.#.####.##.#.##.#.#.#.#.#.##...#.##.###.###..####.#.##..##.#.####.##..#.###..##.#.##..###.##.####.##.##.......#......#..##.#..######.##...##....#.......#..#.##.###.##.##.######..##.##.##..#.#.####..#####...#....#.###....#.##.#..#.#.###.##
#.##......##.###..#..#....##.##.#..###.#..###..#.#.#.##..####...####.#....#.###.##..####..##.##.#...##..##..##.#.#..##.#.###..#.#.#.#.####......#.##.....#.##..##.#.#..##.##..###.#.##...#.#..##.#.####.#.#...#.###..###.###.#.###..#.#.#....##.###.##....##...###.##....#.####.##...##.###...#...##..####.###..##.#.#..###.##.####...###.#.#.....#..#.##...##.#.#.##..##.#.#..#.#..###...##.##.###.##..##.##.#.#..#.#....####.#..#.########..#...#.#..#....#####..##.##..#.#.#..##.#####.#####..#.##.########.#.#.#.##....####......##...##..#...###.#.#....##...#.##.####.#.#..#.#.#########.....##......#.###..###.....#.##..##.##..#######.##.####.#.####..#############.#..#.#.#..#....#..###.#..#.#.#####..#.#....#.##..####....###..##.##.#.......#.##...##..###..##...####....###...##.###.##.##.######..##......#.##.#..##.#...##.#.##.##.#....#............##..#.##.##.##.#....##..##...#.#.##....###.#.#.##.##.....##...#
#.#..##.###..###.###.#.#.###..####.##..######.####.####.###.##.###.....##.#...###..##..##..#######.##..####..#####.##..#..##.##.###.###....##.#.#####.##.#####..#.####.##..####...#..##.##.#.##..#.#....####.##...#####....#.#.#...##.#.#.#.##..##.....#.####.####.####.##...##.##.#..#...##.###.##..###.#...##.##...##.#...#....###.####.####.#####.#..###....#....####..#...##.##...##.##..#..##...##.##..#.######.#.#.##..###.##.#.#....##.##.#####...########.##...##...####.####.....###.##.###.........###.#######.###..##.#.###..#.#..##.#######.#.##....###.#####.#.#.##............#############.#############.#.###..##...##......##.##....###....##..........#.##.#.##.#.##.##.#.##..#####.#.#....########.#.#######....#######.##.##.###.#.############..###.##.#..##..#.#####.##..##...#.##.....##.####.#.#########..#.#.#..###.##..#.##.#...##.##.########.#..###..##.#.######.##.#.#.#..#.#.##.#.#.#..#.##.###.###.##
#.##..#...##...###...#.#.##..##.....#####.#....#####....##.......#.###.#..##.#####..##....####......##.#.##.##.....##.##.##..##...#...##.###########..######.#.##.###..##.##....#.#.##..#..#.##.##.###.##.....#.#.##....#.##.#.###.#..#.#.#####.#..##.##...##.#......##..##.#####..#.###.##..#...##.##.....#..#####.##..#.#.###.##...#....##.#.....#.##...##.#...##..###.####..###..#.#...##.##..#.###..##.##.##.....#.#.##.####........####..##..##...#........#####.#####..#.#..#####.#.....##...##.##.#.#####.....##..#...###.#..##.##.#.###.......###..##.#...#...##....#.##.#.###.##.###.#.#.#..##.............##..#...##.##.#.##.#.#######..##..########.#.#.##.#....###.##.#.##..#.#.###.....#.#.#.####.##.#...#.......##.#...##.#..##..#######....#.###..###...#..#.##..##.#....######..##.##.##.#.######.#..####.##.######.#.##...####.##.#..#.####.#.........####...####..###.##...######.##.#.#.#..#.#.#.####....###.#..#
#.#..##.#..###..######.#.#..##..#.#.#.....###.##.....##..##.##.#.###...##.##.#..###..##.#....##.#####.....#..###.#.##.##.##.##..#.##.##..#........#..##.........#.#...###..##.###.#..##.#.##..##########..##.##.#.#####.#..###.###...##.#..##...#.##...###.##.####.####.##....##..##.##...######..#..##.#.##.##......######..##.####.###.##....#.#.#.#..#..#####..#.##...##...##...#####.##...##.#...##.##..#####.##.#.#.#.......#.##########..##.##.#.##.#.#.####.#...#.###...##.....####.#.##..#..#.##.#.....##.######...#...###.###.##.#.##..###.#...#.##..#.###.#..####.#.##.#...#..#...........#####.#####.#.#..##.##.##..##.#.##.#.......##..##.....##...########.##..##.##.####.######.#.##.####.#..##.....##.##.##.##.##.#.#....##..##.......#.##.......##...###.##.##.###.######.#..#.###.##.##.#####.##.##......#...#.###.#.#..####.###..#.##....####.#.#.#.####..#######......###..##.#...#.#.#...####.#..##..##...#.####
#.##.##.#######....##..#.##.#####.#.#.#.#......##.##..##.#..##.####..#.##.#....##...##..#.#.#####.....###.##.#...#.##.#..#####.##..#..##.##.#.#.#...####.#.##.###.###.##..###.##..##.##.#.######......###..#.##.#.#.....##.#####...#.####.###.#.#.##.#.#....###.......#..###.###.##..###.##......##.###.#.##.##.##.#.....##.#####....#...##.#.##.######.##...##..####..######.####..##....#####..#.####..##...#.#.##.#####.#.##.##..........##.#...#.#..###.#......#.#....##.#..#.#.###....#..#.##.####..##.##.##.....##.####.######...##.#..##..##.#.######.#####..#.#####.#..#.#.######.###.#.###..##....######.##.#..##..##..###.#..#.##.#.####.##.#.#.####....#...#..#.######....#.#.#....#.####.##.##....###.##.##.#######..###.##..#.####.#.##.#.##.##.#.##..#...###...#.##....##.....##...######.........#.#..##.#...#.#...######........##.#.##.##...##.#.###....##......##.####.##..##....#.#.###.###....#.####..#.#.....##
####.##.##......#.######..###.....#.######.##.##...##..#######.##...##.####.#.##..#..#.####....####.#.##...####.####..##.....###..#####..##########.#....###....###...###...###..######.#....#.######.#.#.##########.#.###...##..#.#....#.##..#.#.##.#.#.#.####.##.#.######....#..##.#.#..####.#.##...#.#.##..#.#..##.#.##....#####.##.#..#.####...##.#..#.#..##.#.#####.........##.#..#.##.....##.##...####.##...##.##....###...##########..#.##.##.##...####.#.#.###.##.####.##.#...##.#.##.###....###..#..###..##.##...#.#.....###.#####.####..###....##......##.#.#...#.#.####.##.######..#####.####.#.....##.##.##..#.####...###.##.##.#.#.#...###.#....#.##...####.#...##.####.#.....####....#.#...##.###.####.#.....#.###..##..#.##.##...###..#.##..#.#..#.##.#####.#.#..#.##....######.#####....##.##.#...##..####.######..#.##..###.#.##..#..#.##.####.#..#####..##.#####.....#####..##.#.######...#####.####...##.##.##..#
#....##.######.##......#.########.#.#..#.####..##.##..##........##.##..#....#..##.#.#####...#.##.#..#.##.#.##.#.#..##.#..##########.#.####...#.##...####...##.###...###...######...##...#.##...##..#.......###.......#.#...#####.#.##.#.#..##.###.##.###.#.##...##.#..##....#.##.##....##.#....#.###.####.#..#####.##.####.#.##.....####.##.##...###....#######.....#.#####.#.#####.#.##.##.#.#..####.#....#.##.#.##.##.######.#......##########...###..#..##..#.#.#....#...##.##.#.########..####.#..##.###...##..#.####...###.#..##....##.##...###..#.####.########...#####..##.....#.##.##.....####.###.###..######..##..#.#.#.##...###..#...##.####.#.#.##.##.####.########...##.##.##...###.###.##.##....#..##..##.#.##...#.####.#..####.#..#####.##.####.##.##.....#.####.#.##.##......#.....######...###.#####...##...##.##.#.###..########.##.#.##..#.#.##....##.##......###.#.....#######.##.##..#..##......#########..#.##
##.###..#.##...##.#.#.####........####.#......##..###.##.#.#.#.##...#####.#.##.##.#..##...###.##...##.##.#.#......##..##.##............##..#....##.##....#..####..#######.###..##.#####.###..#####...##.##...##.#.#.##.#.#...##..#..###.##.##.##..####...####.#.#..#.###.#.####..###.#.##.####.###......####..##...##....#.#..##.#.##.#..#..###.##.###.##.#.##..###.....##..#.....#.######..#.##..#.###.######..#.#..##.#......#.##.#........####.###..##.##..#######.#.#.#.####..#...#.#.###...##.####..#.#.#.#..##....#.#...####..##.######..#.#.####.##.......##...#..#.#######.####....##.######.#.##....#.###..###..##...###.##.#..###.#.####.##.###.#..#.##.......#.##.#..#..#..#.##.###........#..##.#...####.#..#....#####.##.#####.#.##....#####....#..#.#####.##..##..#.#...#.###.########.#.####...#....##.#..##.###.#......##.....#.##..#.#..##...#.###.#..#.####.##..##.#.##.####.##......##.#.#####.##.#....###..#####
#########.#..#.##.###...#####.#.#.##.....##.#..####...#..#.#.#..##.####...#.##.#..#.####.##...######..##.#.##.##.##..##...#.####.#.#.#.#..##.##....####.###.#....##.......#.##......##..##..###..##.##..##.#..#.#.#..###.##.##..#######.##.#..###..##..####...#.##.#...###.#.###.#...#.#..##.....##.#.#..##..####.##..#.##.#.##..#....##.##..#####.##........##...#.#.#..##.#.#.#####......##.#..##.##......##.##.##.##.###.##.#.##.#.###.####.##...#####..##....##...#.#.#...###.###.......##.##.....##...#.###.##..#.##.#.#....##.##.....###.#....########.#######.###.......##.......##.##..###.#.#.####.##...#.##.#.###.#.##..##.#.##...#....#....##..#.##.##.#.#.#........##.#####.##...##.####.###..###.#....####.#.##.##.#..##.......#####.###.#.###.##.##.....#######..##.#.#.#...#....##.........##.####.##..#.##........#.####..#####.###.#.#.####.##..##.#.##....#..#####.####.#.......#.####..#..##...##...#.##.##.....#
#...........##.#...##.###.....#.#.####.#.##.#.###...####.#.#.#.#####....#.#..#.##.#.#.....#.#.#......###.####..#.########......#.###.#.##########.##.....##.##.#..##.#.##.#....#.##..##..##.#.##..#####..#.##.#.#.##.##..#...##.......#######...##.###.#....#.#.##.#.####.....##.#.#.####.##.#.#..###.##..##...##.#..##..#.#..####.#.##...##...##.....##.#.#.##.#.######.##.#.#.....######.##.##.##....##.######..####..##..##.######.###......########.######.#.##.###.#.#.#...#.###.##.####...##.#.###.######..###.#.##.####.####..###.###.###.##......##........#.#.##.#.##.##.#.###.######............#..#.#....#.#...#.#..#.##..#..##.###.#.##.#.###.#.##.##.#.#.#.###.#.##...###...##.###....###.##..##.#.##....#.#.##......##..##.#.###..........#########.#.#.###.###.##..###.##.###.#....###.#####.....#..##.#..##.##.##.#.##.##.........#####..#.#..####..####.##.##...##.....#.##.######....##.##.##.#.##.#.#.##....#.###
#.##.#####.##..##.##..##..#.#.#.#.#....#.##.#...#.#.##...#.#.#..##...#.##.#.##.##.###.###.########.#.##...##..####.##.##..#.####...#.#####.#......###.##..######.#####..####.#.#.##.##..##.....##.......####..#.#.#..#..####..##.#.#####.#..#.####.#...#.##.#.#.##.#.##...#.####.#.#.#....##.#.#.##...##.####.##..####..####.####..#..##.##..#.#..##.#####.###..#..#...#..#####.#.#.#.#.####..##.#####.####.#..##.#....##..##......##...#.#.##...........##.####.##..##.###.#.###.#.#.#...###.#.#..#...#......##...#.#.#....##.##.#####...##.##..##.#.######.#.#.###...##.#..####.#.##....##...##.##.#.#.###.#.#.##...##.##.##.#..##.#.##...##.#.##.#..##.######..###.#...#######.##.##.##....####......##.##.###..#.####.#..########..#.#.##..##.#.#####.###.#.#####...#.#.####.##...##...#.#.#.##....####.#.###.######.##.#..##.#.....#.#.##.#####.###.#...#########....#..##.###.#.###.#...####..##..#..####.###..#.#..##.###.#.#
#.##.#####.###.##.###.##.##.###.#.##.#.#.#..##.####..###.#.#.##..##.##.##.#.##.##.##..#...##.#.....#..##.##..##.#........##.###..#######.#.#####.##...##.##........##..###.#.#.#.##..##.###.####..#.#.#...###.###.#.###..##..##..#.......##....##..########.###.##.#.#..#.#....#.###.#.##.#..#####..#..#..#.#.##.##....##.#..##...###.##.#..##.##.##...##...#####.##.#######..#.#.#.#........#####.#..........###.#.#.####..###.#.##..#####.###.#.##.#.#.#.....#..##.##...#.#...#...#.#.#...#.#.##.#.#.##.#.###..#.#####.#.###........#.#.##....##..#...#.#..#.#..##.#.##.#.###...#.##.##.##.#..#.##.#.#####.#.#..###.#######..#.##..#..#.#..###.##.#.##.......##..####.#....#.#......#..##.################..##########..##.....##.##########..#.#..#..........##..#.#........#..###..##.##.#.#.###.#....###...####.#....#.##..#.##.######..###.#....##.###.....###.###.###..####..#...###.#.#....##..##.##......##.#.##.##..##...#
###..#......##.##...#..###..#...#.##.#.#.##.#....##.##...#.####.##..#..#..#..####..##.#.####.#####.####..###.##...#####.#####...###..........##...##.##..#..##.#.#.######....###.###.####.....##.######.###.####..#.##..####..##.##.########.########.........###..###.##.##.###..##.#.#..##.....##.#.##.##.###..##.##....##.#..#..##.##.#.#####..#..#..##.##...........##.#.#########.####.#####....#.#.##.#...#.#.#.#....##...#.###....##..##.#.##.###...######.#..##.#.#.#.#####.###.#.#######..###..#.#..###.#....####...#.#####.##.#..#.##..#.##.#.#.##.####.##.####.###...###..#.##..#.##.#..######.#..#.####.....#.######..##.##.#.#.###..##.#..##.#.##.###....#.#.##...###.##.#.###.......####.##.###........##..##..#####...###..#..##.#.##...#.##.#.#....####.#.#.#########.##...#####...#.#.##.########.#...#.##..##.#..#.....###.......#####.##..#.#.....##..#.#####.##.##.###..#.#.#.###.###..##.##.##..#.##.#..####.##
##..##.#.#.##..###.##.####.####.#.#..#.###..##.#.####..#.#.##...###.##.##.##..##..##..####...#####...##.##...##.#######.....#.#...#.#.##.#.#....###...##.#####.#.###.##.#.##...#...###....#.#..#.#.............##.#.###..#.#.###..#...#.##...##.......####.##...##...#.#..##...##..###.##..##.####..#.##....##..##..##.#.##..#####.#..##.#...##..###.##.##..#.#.###.#.#.......####.#.#.#......##..#.##.#######.##.#.#.###.#####.#..##.#########.#..#..##.#......####.##.#.###....##.##..#..#.#.###.####.#.##...#.##.#...##.#.#.....###..#.##..##.###..#....#....#.#...##....#####...##..##.###..#.###.#...#.##...####.#.....####.##..##.#.#...##.#..#.#####.####...#########.###...##.#...##.####......##.....##.#.#..##..##...###.###.##...##..#.##.#.######.##.#.####.###....##.#....#.#...##..###.#..#..........###.#..#.##..#.##.#.#...###.#####.#.#####.#.#.#.#..##.........##.#..#.####.###...#.#.####...#.##.##.#..#.##.##.##
#..#####.#.###...#.##.#.....##..####.####..##..#.#....##.#.##.#...#.#..##.##.###.##..##....#.......#..#.#..#..###.......##.#####.####.#..#.##.#...##.###.####..#..##.#....#..#.#.#...####.#.#.########.##.###########.#.##...##..##.###.###.##..##.#.###...#..#####.##.##.##.#..#.##...#####.....##.#.##.#.##..##..##..#.######....##.##.##.###.##.#.######.###.#...#.####.##...#....#.####.#########...##..##.##.#######....#####.#....#.####..#.##.##..#.#.##..##...#.#..##.##..#####.##......##...##.#..#.###..#.#.#..#.###.#.#.###.######.##..##.###.#.#.#.####.####.##.....#.#..##.##.######.......#.#.##.#..##..#.#.#....#.##.##..#.##.##..##.###.......##.#..##.....#######..###.#.##...##.#.##.##.#.#.##########.##..#............#.###.#.##.#......###..#..#.###...##....##.#.#.##.####...###.##.#.##.##.##...##.#..##.#.##.#.#.####...........#.#..###.#.####..#.#######..##......###...###......##.##..####.##.#....##..#
#.###.##.#.#...######.####.##..##..#####..######.#.##.##.#.#..##.##.##.#..#..##...##..##.#.#.#.##.##.##.##.##...##.#.#.###...##.....#.##.#.#..#.###..#...#....#####....#.##.##.#.#.####...###.##........#....##.##......##.#.##.##........#..##.#..#.#.##.###..#.##.##.#..#..#.##..#####.#.###.######.##.#..#.##..####.#..###.##.#.##.##.##...#.#........##...###.#.#....#.##.###.#.####.....##.##.#..#..#.#####..####....#.##.....##.###....##.#.#...##.#.#.##.####.##.#.#######...##..#..##.#.##.#.##.#.##...#.######.##.##..#####.###.##.#####.##.##..#####.#.#.....#..##.#.####.###..#.....##.#.#.#.#.###..##.##.##.#################..#..#####.####.##.###..##....#######.#.####...#.##.#########..#.###...#.####...##.##.##.##.##.#.###...#.#..#.##.#########.....###.##.##.##.#.#..#..##..#...#..#.#.##..######..#.##.#..#.##.#.#....#.####.####...##..##.#....##.#.......##.##.##.####..#...#.#.#.##..##.###...##.##.#.#..##
#.##.....#.###......####....##..##.##....###.....###...#.#######.#####.##.##..#.#..####..###.#.##.##########..###..#.#...###..###.#.########.##.########.######.######.###..#########...#..##..#######.##.##....##.#.##..###.##..#.##.#.#.#.##..##.###......##...##..#.##.#.##..####............#.###..#.#.##.###.##...#.##......#..#.##.##.######.##.####..####..#.##.#.###..##..#..##..#.#.##......###...#...####.#..##.########..#.....##########.###.#.#.##.##...##.#.......##.#######..########..#.#.##.#.#.....##..#####....#...#.........####..##..#..#.#...###.#.##..#...##...##.#.#.###..#.#.########..###..##............#...###.#####......##.##...##..##.#...#..........###.#.#..........##.###...###..#.##.#####...###...#.#..####.#.##.#..#...#.#.####.#.##...##..#.##.#.#.###..#.##.#.####.#####...#.#..##..#.##.#.##.#.##.########.#####.##..###.####..#.#.#####.#..#..##..#.##.#.#.###.#####..#.#...#.##..#.#.#.###
#..####.####...######....#.######.....##.#.##.##.####.##..##......##...#...##.#.#####.#####..#.#..#.#.###....##...##.###...#.####.#.###.#.#...#.....##...#...............##...#.#.#.###.#.#######.####.######.#.#######.####.#..##.##.#.#.###..##..####.#.#.###.##..####..#..##..#.#.#.#.#.##.#.....####.#..#..####..###.##.##.###.#######....##....#.#.##.##....##.#..#...##....######.####..####.#.#...#...#.#......######.......##.#.#####.###....##..#.#..#.#..#..####.######...##.....###.##.#####.#..#.#.#.#######..#.##.##...#...#.#####.#....####...######...#######.#####..#..#.########.#.#....##..##...##..#.#.##########.###.....#.####.#..####.###..#####.#...##.#.##.########.#.#####.###.##..#...#.##.##..#.#..#..###.##.##....#.#.##.#.###.##....#.#.###..#.##.##..###.#.#.##.#.##.#....#..##.#.###.##.##.##.#..###..###.....#...#.....#..####.....#######.....####.#.####....#.###.#.......#.########..#.######.#.#
#.##.....#####....##..#.#####.#.##.####....#####.#....##.#######.##..#.#.#..###.##....##....##.##.......#.##.##.#..#.##..#.#....###.#.......#.#.#############.###.#####.####.##.....#...#.##............###...#...##....##...#.##...###.#.#...######....#.###...#####..#####..##...#.#.#.#..###.###...##.#.#####....####.##.##.#......##...#.##..##.#...##.##.##.##.#.##.#.##.#.##......#....##..###.##.##.########.#.#.##...#.#.######.........######..##.####.##.##...##...##...#.##.#.#..........##..#.##.#.#.......####....##.#.##.##.....###.#.###...#....###.#....##......##.##.##.....#.##.#.#.#.###.##..###..####............#####.###......#####.#...##.#.#...#.#..###.#####.##.##.#.########...##.#.#.......#.##...###...#..####.#.##.#.##.#.##.....####.#...####.####..##...#....#.#.#..#.#.###..#.#.###..#..#..#.##...##...#.#.#...#.#.##.##.####..#.#.......##.#.##....#.##.##.#.########.###.##..##......##......#...#
#.###.#.##.#.#.#.######.#.##.......#....##...##..####.#....###....##.###.##..##.###.#....##.##.#..#.#######...###.##.#..##.#.#.##...#.#.##.##.#..##...###.....#...##....##....##.##...#.#.##.#########.##.###.#.#..###.#####.#.##.#.###.#####..##....##.#...###.....#.##.....##..#.#.###.####.....#.###..#.....####.#....##.#####.#.#..##.##.#..##..##.##...#.#..####..#.#.##.#######.####.#..##.....##.##.....##...###....#.#.#..#..##.#####.#..#.##..##....####..##.#.#..#####.##.#..#.##.###.#.#####.#..#.#.##.#.#.###...#.##..#.######.#####..#.##..#.######.####.#.#..#.#.###.##.##.###...##.#.###.....#####.##.#.###.##.##.#.#....##.##..##.#...##..#.###..#...#.####...#...#.......#.#.....###..#.##.###.###.#.#..##.##.#.####.###..#.##.###..#..###.#......#####.##....#.##..#.#.#.######.##.#.#.##.#.###...##.###.####.###..#.#.#.#.###.#.#####....##.#.##.#.####..#..##.###.##.#..#..#...##...##.##.######.#..##.#.####.##
#...###.#......###...##.#....#.###.####.#..#########..##.#.#.#.##.##.##..##.##...##.#.#.##...####.#.....##..#.##..##.##..#.#.#.###.##########.#.#####.#.####.##.#.#..##.##.#.##...##.####..####.............#.#.#.##...##....######...#.##....##..#######.###...#.#...##.#.#.###.#.###...#....##.##...##.#.###..##..##.#.#...##...###.##...###.##..##...##.####.##....##.####....#.#####.#.##.######..#.##.########.#...##.#.####...##.....##.##....######.#..###.###.####....##..#.##.###....#.#.....###.##.#.##.#.#.##..#.#..##.#...##.......####.##.##.####.#..##..###.##.#...###...#...#.#.#..#...#.#.#..#.##.##....##..####.###.####..#..##..#.#....##...#.####.#....##.##.#...#.#.#####.#.#...##.###..##....#####.##.....#..##....##.#..#...#.##.##...##.###.##.#...#.##.#######.#.#......####.#.#.##....#..#..#...#####....##.#.#.#.#..##.#.....##.######..###....##.##..#..##.##...###...#..##.###.##.##.#...##.####...#####
##.##...##.#.#.....########.####.######.##.....##....##..#.#...#...#..##.#...##.##..###.#######...##.##..####.##.###.###.#######...#.#........#.##.##.........###.##.#####.#####.##...##..###.#####.###.##.###########..##.#.....##.#.#.##.#.####.##......##..#.###.#..###.#..##.#.#######.#.##...##.##..#..###.##.##..####.####.####.###.###...##.##.######....##.#.##..##...#.##.#.......##.#......####...##......#.#.##.#..##..#..##.##.######.#....##..#.##.....#..#.##.#.#..####....##.###.#######....#####..#.#####.###.##..###..#.##.##....#.#..#.........####..##.##.#.#.###.#.#############.####.##.......#.#.####....#.##....#####.####.###.#.#########....##.#..#######.####...##..#.###.#####..####.####.######.#.#######.#..###.##.#.#..#..#.#.##..#####...##########.#...#.#.##.#....#.#.#....##...##.####..##.##.#..#.#.#.#.#.#####.#.####.....#########.##..###.#####..###.#.##.###.##...###..#....#..#....#.#.....#
######.#####.#.###...#.##.####...........##.#.#####.####.#.#.###.#######.#.#.#...##.#...#.......#.##..#.##....##.#.....#......##.###...####.#.####.#..#.####.##...#..#.......##..###.###.##...#.###..##..#...#...##....##..##.#.###.#.#.#..#.#....#..#.##..##.########.##..#.##..#.#.......#..##.##...##.##..####...##.##....#.#....###.....###..###...##.#####.##.#####..#.#.#.#..####.#.##..##.###.#..#.#..######.###..###.##..##.###.##...##.############.###.#.###...#######.#.###.#.##.##........##.#.##.##.#####....##...##..##.##.##..###.##.##.##.##.#.#.##.##..#..#.#.#...#.#.####.#.#.##.#....###..#.#.#######....#.######.#...##..##...#...####.###.#..##.#..##..#.##.#...##.#####.#..##...##..##...........##.#.#......#####..##..#####.##.##.#.#..##.##..#...##...#.#.#######..###.#.##.#.##.#.##.######.##.##...###.########.#....##.#....###.#.........#..##...#..##...##.....##.#.#..#.#..##.####.###.#.#.####.#.#.#
#......##....#...#.#.#....##.###.###.##.###.#.##.....##..######......##..#.#.#.####.######.##.#.###..##..##.#..####.#.##.#.#.##..#...#.#....#.###....####.....##.###.##.#.##..#.##.###...##.#.......##..####...#.####.###.#####...###.#.#.##.#.#.###.#.##.##.......#.#####.#.###.#.##.####.#.######.###...##....##.##..####.##...#.#####.##..##.##...#.......##.#....##..####.#...##....#..##.####.....##.##..##....##..##....##.##.##..#..###..##...###..####...####..#...#.#.....#.#.#.#..##.##.##.###.#.....#.....##.#..##.##########..##...#######.#...#.###.....#.##.####.#.#.###.............#.#.#####.###.......#.##.#...##...#.#.##.####.##.#.##.#.....##.#..##..##......#.#.##....##.#.##..#..######.#.##.#.#....#.#.####...##..###.####....#.##.#.##.......######..#...#.#.##.###########..###..####.........###..#..##..##.#..#.#.##..#.#.##...####.#####################.####.####....##.#.#.###.#....##..###....#.#.#.#
#.##.#.##.##.##.##.######.##.....#....###...#..##.##..##.##.#.##.##.####.#.######.###......##.#.#...####.#..#.##....###..###.##.##.#.#.##.#.#...#.####.###.#.##..##..##.#.##.##.##.....#.##.###.#.#..##....##.##.#....##....##..####..###.##.#.###.###.#...###.#.#....#.##.#..##.#.#..##...#....##....##.##..##.##..##..##..###.##....####..##..####.#.##.#####.##.#.#..###...#.#..##.###.###.#.#..#.#.######.####.#######.#.###.##..##.##..###.##.###.##...##.#..#.##.#.#.#.###.#...#.#.##.##..#.##...####.#.############.##..........##.##.#.....##..##.#######.##.#.####.#..###..##.#.#.###.#.########..#..##.#############.####.##.#..####.###..#......########.##..###.########..#.#.##..#..##.##.#..#.#.######.##.#.###....##.####...#....#.#.##.########.#.#.##.#..#.######.#.##.......##.###.##..##....#.##.#.####.#######......##.#.##.##.#.##.#####..........##.####.##.#....##...####.#######.#.######..##..###.#####.#.#
#.##.#.#..#..##..#.#..#......#.#.##.#...#.#.#.###.#..###.#.......##..#.#.#.#..#.......#.#.##..#.#.#....#.####.#..##.####..##..###########.####.##.#........#####.##.#####..#..#..##.#.##.#..#...###.#####.########.#.####.#####....##.#....#.#..##.....##.##...###.##...##.#.###.#.##.###.##.#.####.#.#..##.###.##.####..##.#....#.##..##..####.#....#.#......####.####.#.###.#.#.##...##.#.###...##.#.....##..###.##......#.#.#..##.##..##..........#....####.##...##.#.#...##..#.#####.####..##.#..#.##.###....####.##...##.#.#.#.#####.#..#.#.####.###.#.#...#..#.#......##..##.###.#.#...#.#....#...##...##.....###.##.#.#...##.#..#.###....#..##.#.##.......##..##.#.......#.###########.#######....##.#.##.#....###...####.##.##.##.##.#.##.#..###.#.#....######.#.##.#.#.#..#.##.#.#.#.....#####.##..#.##.##.#...........##.##.######.####..#.##.....#.#.#.#######.........####.#..#....#.#....##...##.#.#.####...#..##...#.#
#..###.##.##..#.#####...##.#.#.####.##.##.#.#.##..##...######.#.##..##...####...#######.#..##.#.####.#.#.#....#.###...##.####..##...#.#.#.#....##.#.#.#.#.##......###.....##.########.#########.#......##...###.##.###......##..##.#####.#.####.##.#.#.##..###.##..###.##..#...#.#.##.#.#.##.####...#.##.#..#.###..##...##..##.#.#..#.##..##..######.###.#.##..##....##....##.#######.##......###.##.#.#######.#....###.#.##...#.##...#.####.#.##.##...#.####...##.##..#.#.#####.#..##.....##.##..#.##.....##.##.......##.#####.#######.########..##..#.......######.#.#.######.#####..#.#.#.###.#.##.###..#..##.##..........#.#..####.#.##..##...###.####.###.#..##..###.##.##............##..#.#..###.##.......##.#...#.#.##....#....##.##.#.#####..##.#.####...................##.##.#########..###..##.##.##.####.#.############....##....####.#####.#.##.#.#.....#.#.#####.#..##..##.####.#...#.##..####.....##...#.#.####.####
#.##...##.###.###.#.###.##.#####....##..#.#.#.#..####.###.....#.##.###.####.#.#.#.......#.##..#.##...#.#.####.#.##..####.#..#.###.#.......####..#.#.###.#..###.##.##..#.#..#...##.....#.#.###...###.#.###.#.....##.##..##.#.###.##.....###...##.#..#.#.###.##...##...#.###.#.#####..###...##....#####.#..##.....##..#.#.##.###.###.##..##....##..#.....###..##.####.####.#.##......##.###.#######..###......##.##.#.#...#..###.###..#.#.##...#.#######.####.###..#..##.#.#...#.#.#.##..#.#..#####.#..##.####..##.##.#.##.....##.........##.##..#.####.##.#.##......#.######.........##.#####.#####......#.##.##..###################.###..##..##.##.###....#####.##..##...##..########.###..##...#.##.#..#.##.#.##..##.##.#.##.##.##.#.##..###.....##......##...#.####.#.##.#.######.#...#.#.#####...#.##..##..#...####............###.####.#....#...##..###..###.###........####.####.##....#.###.#####..##..##.####.##.###.#....##
#..###.####...#.........##.#.....#.####.#.#.#.#.##.##.##..##.##..#...####.....#.##.##.#.#..##.#..###.#.###....###..###.....#####..###.#.####...####.#...#.##...##..##.#.##.#.#####.#.##.......#.#...#...#.##.##..#.###.##.#.#.#.###.#######.##..#.##.#.#.#..#.#..##.##...###.##.##.##...#.##.#.##...###.##..###.###.#.#.#..##....#..####..######...##.##...###....####...#.#..#.##.##.#......##...##...######..##.###.#.#.##....##.##.#..##.##......#####...#.##.#.##..#.#.#...#.#..##.#.##..#..#.#.##.....##..#..#.#.###.#.####.##.######....####..#.##.#.##.###.##......###.##.####....##......###.######...##.......#.####.#.##.....##..#####.##...##.#....########..#..##.......##...#####.#.#....#.##..###..#####..#.#.##..#.##.###..##...###.#..##.###..#.#...##.####.#..........#.........#.#######..##.#.#...###.######.######..##..##.####.####...#.###...##.##.#.###.####.##.##.#.####.....#.##..##.##.##....#.....##.#..#
##..##.#.###.#####.###.##..#.##.##.##...#.#.###.##.....####..#..##.#.##...###.#.##.#..#.#.###.#.###..#.####.#..##.##.###.#...#.######.####.##.##.#####.##.###.###.########.#.....########.#.######.###.##.##..######...######...#.....##....##.##.#..#.#...##.#.##...#.###.......######.###..#....#########...###...#.#.##.#..#.##.##..##...#####.##..#..#...#######.###.#.##.#..###..###.#.##..###..#....##..###...###.#..##.#..#.#..#.##...##.#.#.......#....#.#..######.#.#####.###.#.###...##.#.###.#.##..###.#.#...#.#.##....#........#.##..##...#..#..#..##..###.####...#.....##.#####.##.#########...#.##.##.##.............##.######........###..#.##......##..##.##..#.#####..#.####..#...##.#..#.###..#####..####.#..##.#..####.####..#####..#...##.#.#.#..#....###.##.#.###.##.#.###.##..#.#..##.##.#.#.#..##......#......##..#.##....##....#.#.###...#..#..#.#..........####..###.###.##...##.##...####.#.##.#####..##.#
#..##..#......##...##...##.#.#..##..###.#.###....##.#.###...##.#####.###.##...#.##.#.##.###...#...#.####....#.##..##.....#.#....###...##..........###...###.....#..#.#.#...##.#####.#.#...###......##...#..##....#####...##...#.###.#######.####..##.####.##..###..#.#.#...###.#.##.#....##.##.##..##.......#...##.##.#.#..#.##.#...##....#..##.#..##.#.##.###.........#.#.##.##.####.###.#####.#######.#######...#.#...#.##..##.#.####..##.##..###.####.##.#.##.##...##...#.###...##..#...##.##..#..########...#.#.##.##.#.#..#.##.##.##.##....##..#.##.#.##.####...#.#..###.#.#.####.##.##.##.........##.##..###..#..#.#.#######.##.##.....##.#.#..##.##..#.##.#..#########.#...####.#....##.#.####.#.####.##.....#.##.##.##..#.#.##.......##...##..###.###.#.###.###.#..##.##.#...#..#######..##.#...###.##.#.#.#.####.#.#.#.##.#.##.####..#####.#.####.###.#.#.##.##.##.#########..##......##.######...##.##....#.##.##..##.##.#
######.####.#.#..#..##.###.#.##..#.##...#..####.##..#...##.##.....##..######.#########....#.#.#.#.#.#.#####.#..######.##.#.#.####...#.##.#.##.#.###.##.####.#.#.#.##...###..#.##......#.#..##.#.#.#######.##..#.##..#..#..#.#.#.##.....###....########.....##.####.#.###.#..##.####...#.###.##..#.###.##.#.###.##...#.####.#.#..#.#..#.#.###.##...###.###...###.#.#.########..##....#.#......##.#........#....##.##.##.##..##.##.###....##...##..##.################.##..#.#...#.#.###.#.#.#..######..##......#.#.#..###..#.##.#..#.##.##..###.###########.#...##..###...##.###.#....#....##..##.##.#.########...#####.#######.#####..##.#.####.#.##..####.##.#####......#..#.##.##..#.#.#######.##.#.#...##.#..##.##....##..#.##.#.###.##.###..#..##...###.###.###...#.#####..#.###.##...###.##.##...###.###..#####..##..#.#.#..#.####.#.###.....#.####.....#.#.#..#.####.....####.#.###.##.###.....##..#..#.#####.#.##....######.#
###.#..#....####.#.##..#...####.######.##.##....##.##.#.##.###.#.####..##......##......#.##.#.###.#.#...##..##..##....##.#.#....#####.#..###..###.........#.#.#.#.####.....##.#######...##.####.#......##..#.##.###...###.#.#.#..##.##...##.#..####....##.#####.#..#..##.#.##..##...#.#.#...##.##...#.####.##...##.####....#.##.###.##.#..##.##.#...#.#...#...#.#####..##.#..##..#.#####.#.###..##.#.#.#.#.#.###.##.##..##.##.#...##.##.####..##..#........#..#.##.#######.#.#######...#.#.##.....##.######.#.#####.#####.#..###.##..#..#.######.##........##.####...###......###.##.#.####..##..#######.....##.##...............###########....#..##.###..####...#.#.##...####...#.####....#.#.....#.#.####...##..##.#.##..#####.###...##...##.#.##..#.#....#....#.#.#.....####.##...#.#......####.#..#....##..##...####.###.#.##....#.#.....##.######..#.#######.##....###.#..........#..#..##.#.#######.##..##...#.##.##......#.#
#.....###.#...##.#.##.##.#.#........##.######.######..#.#..#...#..#.#.##..#.#.#######.##.##.#...#######.#..####..#.#.##..###.####.....##..###.########.####.#.#.#...#####.###.#.#####.#.##..##..#.##.############.#.#...#.###.##.##..##.###.##....##.#.##.##......##.##..#..##..##.##.####.##..########....##.###..#.####.#####.#....#.##..#..#.##.##.##.##.#....#.###....#.####.#...##..#...####..#####...#...###..##.##...#.##.######....##.#..#######.###.##.#..###.#...#......####.#.#.##.#.#.#...##....#..#.####..##.#.##...##.#####........##.#.#######..#.###..##.##.#...#..#.#..####.###.#.#.#.#.#####..#..#.#.###.#.##.##.###.######.###.##....##......###.#.##.#...##.###....#.####.#.#.#####..##..#######..#####.....#..###.##..###..#..##.######...#.##.###.###....#..##.####.##.#....#.##...######.##.#.##.....######.#######.##..#...#..##.#.....##...##.####..#.##.#.##.##.##.#####..####....##..###.#..###..#.######
##.#.##...#.#.#..#..######.#.##.#.#.##..##.#...##.#..##.##.###.#.##....##.#.#.#.......##..###########.#.##....##.###.#######....#.#######...###.##.......####.#.##.##.##....###.#...#.#.#..####.#.##............#.####.####...#...##..####..###.#..###.#######.#.###.###.#.##..###.##.#.....##..#####...#.########....###.#.....#.#.##.#..##.##.#...###..##.##.#.......#.##...####.#.###.##.##.###.#.....#.#.#.####.#...##.####...##....##..#.##.....#####.#.##...##.#.##.###.###..##..###.#..#######.###.#.##........##..#..##.##......##.#.#.####.#.##......##..###..#..#.#.#.##.####....###.............######.####...#.#..#..........#.#....#..##.###..#.##.#####.##.#.#.#......########..###...####..##.......##...##..######..######..#####.#######....#.#..#####...##.#.#.###...##..######.#.#..#.#.#.##.##.#..####.##..#.###....##..#.##.#...######.#######..#....#.##..#.#.#####.##.....##..##..#.##..####.#.##...##.....##
#..#####.##.#.##.#.###.....#.##.#.#..##....#####..##.#######...#..##.#..#.#.#.#.##.#.##..##.....#.#........####....###.......#########.#..#.##.....#.#.#..##########.....#.##.....#...####...##.#..##.##.#####.##........##.###.#####....####.#.#.######.......#...###...#####.##..#####.#.####.....###.#....##..##.#...####.#.##.#..#.##..########...####...###.####.#####.#..##..#...####.....##.####.##.###...##.##.##..##...#..##.#.##.##.##.#.#....##...#..####.#.#####....##..##.###.##..#.#.##...###.#..#.###.####.##..#####.#.####.######.###..###.##....##.####.########...#.###.###..#.#.###.#####.#..####...#.#.########.##.#...##.#.##.##...#.##..#.....#.##.#.#.###.#.##.#.##.##.##..#.#..##.##.#######..#..##.....##.##......##.###.##.##.##.#.#.#.####.##########.##..#..#.###.#####.##.#.....##..#.#.##.##..##.....#.######.#.#..##.###.#.#......##.###.###..#.####...#.#.##.##.###.####.#.##.##....#..##.##..###..#
##..##.#.#..#.####.##..#.#.####.###.##..####.####.##..##.....###.###.##.#.###.#..###..#.#######.....#.##.#....##.#...#####.#....##.......####..##.##.####.....##..######.#..##.##.#.#....##.##..##.##.##....######.#.#.#..###....####.##.##.....#.##.....#.##.##.#######...##..###..##...###....#.#..##.#.##..##....###...##.#.##.#.##.###.....##...###....#.#......#.....#.#.###.##.#.#....##.#####....##.####.#####...##.####.#####.#.####..#..#.##.####.###.####......#.########.##...#.###.....##.###...##.#...#....#..##..####.#....#######....####.#.##.##.....#####.#....###.....#.#...##.#...#.........###...#.###..##.##########.##..#..#.##.#.#.##.###.######..#.###...#............##.##...######....#..##.#.##..##.##...###.##......#.##.......#.#.#......####.##.####..##.##.........###..#.#.#..#.####.....##....#.#....###.#.#.##.##.......###.##..#.##....##.#...##.###.#.##.##...#..##..####..####.####...##...#.##
#..##....##.#.#....###.#.###.....##..##..##....##.#..##..#.#...###....#.###...#.###..#####.#....##.#######.########.#####..#.#.#####.###....##.####....###.##..##........##..######.#.#.##...##.#..##..##.#......###.####...##.#..##...#..##.#.##.######.###..#..##...###.##..##...#####...#.#.##.#.##..#..##.##.##...###.##.#..#.#.##..###.#####.#.##..##.#.#.#.#.##.#####.####...#.####.#..##########..#...##..#.###.###.#....##....#....#########............#...#.####.#......#..##.##...##.#.##....##.#####.####.#.##..##..##..#.##.....#.#.#####.#...##.##.#.#.........#.##...########.##..#.#.#.#.##.####.###.#...##.............###..##.####..#.#.##..##......##.#.####.##.#.#.###.##..####.###.##.#.#.##.#########..#.##.#.##..##.#.######..#####.#.#.##.###..........######..##.#.#.########.###.#.##..##..###.##.#.##.#.##.#.#.##########.#.#.###...#.##.#..####..#####....#.###...#####.####....#.##......##.#..##.##..#
##.##.#.###.####.#.#...#.##..#.#.##.##..######......####.###.#..#####.#...##.####.##.#.#.#.####.##.#............#.###.....##.###.....##..##.#..#.###.###....##.######.##.##.###.#####.#.#..#.##.##.##.##..##.###.#....##..###..#.####.###.##.#.##..##....####.##..#.###....##.####..##...#.#.#.##.###..###.#####.#..#...#.#..#.####.###.#.......#.#..##..#.#.###.###.....##..##..#.####.#.##....##......##.#..##.....#.#...##.#..##.#.#.#.##.##...##.##.#######...########...##.#.#.##..##.####.#..#######..##......###..#.####..##.#..#.#.#......#.#..#####...#.#.#.#.##.#.#######...##.##..##.##.#.###..#..#.#...#.#.#.###.#.#.##.#.#.##..##...##..##.#####..#.####.##.#...##.##.#.#..##..##....#......#.######.##.#....#.##..###..##.##.#......#.#####..#.###....###.#.##.#......##..#.###........#.###.#.######.##...##.########........##.##.##.###.##..#####..##.#####....##.##.....###....##..##..####.####.####..#.##..###.#
##.##.###...######.#.#.#..##.#.#.##..##..#.#####.#.###...##..##..###..#.#.#..##......#...#.#.....######.#.#.#.#....##.#.#..#####.#.####.##..##.#......###.#.####......#..#..##....##..#.##.###..##.##..##..#..#####.#.###...##.#..##....#.#..#..##.##.#.##....###.....##.#.##...###..###.#.#.###....##.##...##...##.#.#.#.##.#...##.#.#.###.#.#.###.##..##.#..##...##.##.###..##.#..##....#..#.#######.###.##.##.#.#####.###..#.##..#.#.#.......#..###........#.#..#.#.....############..#.#.#..##.......#.#####.###########....##..#.#######.#.#.#.##.......#.#.#.#.####.#.....##..#..#..#.##..##.#...#####.....#######.#...########.#####.####..##.#...##...##....######.#.##.##.####.##.##..##.#.##.#...##.##.......#.##.#############..##.##.##.#.....##.#...##..####..####.##.####.#..##.#.########.###....#.#####.##........####.#.##....#..##..##..##.....#.##......#.#.##..###.####...##########..#####....##...##.###...###
#...#######.#.#.##.#.###.##..#.#.##.##..##.#.....#...###.###.###...#.####.##..#####.##.#.....##.##......#.#.#.#.#.#######.####.######...###..####.#.###...#..##..#.##.#.###..####....##.##...##.##.#..##..###...##..#..##.####.#.##..#.##.##.##.##.######..#.##.##.#######.##.#.#...###..#.#..###.####..##.##..#.#..########.#.###..#.####..#.#..##..##..###.#####.##..#..##.###.##.###.#.#.####.......##..####..#...##..####.#.###.#.#.##.#.##.#.##...##.###.#.##.#...#.#...........##.##.#...###.###.###..##......#..##.##.#.####.#...#.#.#####....##.##.#.#.#####....###########.##...########..#.#..#####.##....#.#..###...##...#...#.#...##.##..##.#####.###.#..#..##.####.##....#.#...##.##.#..#.###.......#.###.######.##...###....#####...#######..#.###.###....##...##..#...##.#.###.#......##....##.#.......#####.#.#.#....###..##.###.##..####.##.#.#.######.####.#####...#..#.#.#..........##.....##.#.##.#..#...##.####
#.#..##...###......#.#...###.#.#.##.##.##....#.#.#.###...#...#...#.#.#.########.##..#..##.#.########.#.##.###.#.#.....##..##...##.#...#..###.##...#..##.#.##.##.#######..##.##....#.###.#..#.#..##.##..#.####.###..##.##...##..#..##.#.##.#####.##..##.##.#####........###########.##...##.####....##..#########.##......##..#...#.##.##...##.#.##..###.###...#.#...#.##.##....#.#..#...###....##.##.#.###....##.##.####...####...###.###..#.##.#.###.###.#####.#....#.#.##.#.########...####.##.....#..########.##...##...###.#.##.#.###......###.###..#..#.#....##.#####.#.#..##..##.#......####.#.##...##..###.#...##.#...#....###.###...#.##.##.##....##....####...##..#.....##.#.####.##...#.##.#...###.##.######..#.##.....###.####.######.##.......##.##...##.####..###..######..#...#.##.#.#....#####.#.#.######....#####.#.#######......###...##..#.###..####....##.....##.###...###.##.#####.##.#.###..#.##.##.#.#.##....#
#########.##..##.#.#######...#.######...###.####.#...##.###.###.##.#.#.#.#..#.#....##.#####.######...#.#....#.###.###.###..###......#.##...#.####.####..#.##.####.#.....##...##.#.#...#.##.#.##..#####.#..##....##..#..##.##..###.##.#.##.#...#.#..##.....##....##.#.###.##.........##.##....###.#####....#...######.#.#.###.#.#.###..###.##..#..##.##....###...##.##.##.##.##.####.###.##..#####..###...#.#.##...###..##.##....#.##....##.###..#..#####......######.###..###........###.##...##.##.###.....##...####....#..##.#....#.....##.#..##...##.##.###.#####.##.#......##..##..#.######.####..#########.###.###..##.##.#.####...#.#.#..####.##.##.#..#.###.#.#########.#..#.#..##...###.#.##.##.###..##.####.##......#.#...#..##...##.#########.#..#.#..#.##....##...##......##.##.####..#.####.....#.###......####....##.#......##.##.#..######..##...##..##..#.##########.#.##.##....#.....###..#...##.#..#.#..#.#..####.#
#....##.#....###.#..##.....###.....##.###...#.##.#####..#...##..####...#.##.#.###.#####......##.#..#.###.####...#.##..#...##...##.#.#.##.#.#.#....#####.###..#......#.#.##.#..###.##.###########....##.#.####.###..##.##...##..##.#..######.#...##.##.#.#..#.##.##.#..#...#######.####..##.#.#.......######.###......###.#...###...##.....##.###.#..#..#.###..###...######...#.##...#....##.####..##...#####.####.....##..###.###.###.#.##.####.#.##.##..#.#####.#######.#############.######.##.####.#.########.#..#.#.##############.#####.##..#.###..#..##......#......#.#.####..##.#....#.#...##.###.........##..###.##.####....##.####.#.##.....#.##.##.#...#.#.......##..#.##.####..#####.#..#.#..#.##..#..#.#.######.##.###.#.##..#.....##.#..#..#.#######..##.#..#.###..#.#.##..##.#.#####....##.#.##...##.#.#.##...#.##..#.#.#.##...####.#.#####.####..##..##.####....###....##.##.#.####.#####.###.########.##.#.#.##....#
####......#.##...##.##.###...#.#.#.#..##..#.#......#.##.###..##...##.#.#......##..##....###.##....#####..####.#.#..##.#.#.####.#..#.#.####.######.....#.#...##.#.##.#.#.#..####....###.#.........#.##..#.#.##...##..#.##.####.##..##..##.##.##.###.#..#.##.###..##.##...###.......##.#.##########.#######....##.#.##...#####.###.#####.##..#.#.####.##.#...##...###..#.#...#.####.#.##.###.....#######...##...##..#.#..##.#...##...##.#.##...##.#.##....##.............#.......###..##..##....##......#.....##...#.##.#.....#.##.........#.#####.#..##.###..##.######.##.##.###.###.##.#.##.....###......#.#.#.#..##..##.#.....#.#.###....#.#.###.#.##..#.#..#.###.#########..##.##....##.....#.####.##....##.##.....#.######...##.#....##.###....##...##.#.......###.######.##.###..#.###.......#.#.###.#..#.#.##.######.#.#####.#.#.#.######.........##....##.#..##.....#.####.##.####..#####........#..##..#.#.#.###..#.#..##.#.#
#....####.######.##..#####.#.###.#.##.##.#####.#.###....###.####.##..#.####.#....########....####.##..##....#####.#########....##.#.#....#.#......#.#.#######..#.#..#.#.##..##..##...#.#####.##.#####.##.#....#####.#.#...##...#.####.#..##.##.#.####.###...###..#.##.#.#.##.#.#####....#.##..##........#.####..#.#..#.#.......#....####..##...##...#..#.###..#..##.##.##.##....#####...###.#.####.....#####.####.###.###.#.#.##.#.##.#.###.##..#####.#..#.#.###.#.#.####.######.##.#..##..#.###.###.##.#.###..#...##.##.##....##.###.##....#.##.#.###.#...##.......#..#.##......##.##.#.####.######.#.#.#.#####.##..#######.#####.#.##.#####..####..#.#####.#............###.#...##.###..#.###..###..##.#.##..#.###........##########.##....##.#..##.##..###.#.###.#.........#...#.##.#.###.#.#.###.#.#.########..#......#....##.###.#...#####.#.#.#.###.#.######..###.#........##..##..###.#####.##.##.####.........##.#.##.####.#
##.####...##.....##.##.....#..##.#.##.##.#.....#..###.###.....##.###.#.##...###.##....####.###....###....########.##..##..###.##..#.##.###.##.#.#.#.#.##..#########.#.#####.##.##..#.#.#.#...##.....#..###.##.###.###.##.####.#####.....##..#.....##....##.##...##..###...##.###.....##....##....##.#.#...#..######.######.#.#.##.###.###..#.#..##.##.##...#.##.#####......##.#..#.###.##...#.##.#####....##..##..###...#####.#..#.####..##..#.###.####.##.#...#####....#..####.......###.##.#.....#..#.#...##.#.#..#.##.##.#####.##...##.###.##.####..#.###..##.#.##.#####.#########..#.#.##.#....#####.#..#.##.###...##.......##....#######.##....##..##...#.##.#.#.#.#..##.#.#..#...####.######.##.##.#..##.#...#.#.######....##.##..##.#.#..#.##...######.#..##...####.#.###.####......#.#.#..##...#####.#.###.##.#.#.#.##..#..##.#.#....##.#.#####...#....##..##...#.#.#.######.###.........#..#..#...##.#.##.##.##.#.####.#..#
#..#....#.##.#.#.##..###.#.#.##..###...######.###..##.###.#.#.##.#...#.####.##...####........######.##.#......#.####.##..##....##.####..##.##.#.#.#.#..##.........#.#..##...##.###.###.....#..##.##.##.######...#..####..#.#...##.##.#.##..###.#.########..###.##..####.#.##.#######..##.#..##.#..#.###.#.#.##.##....##..###.####.###.....####.##..#####.#.#.##.....###.#.##..####......###.#.#........#.##..####...###.##....##.#.#....##..##.......##.##.#.#.....##.#.##......#.##.##.###..#.##.#####.#.####.#.#######.##...##...##.###......#....#########..#.###...##........#.#####.#......#####..#.##....#...##.##..##.######.#####.#.###..##..#.####.##.##.#####.#.##..#.#.####..##....##....###..#.######.##.#......#.####.....##..###.####..#...##...#.##..#....###...#.#.###.#.#.###.##..#.#..#........#.#..#.#.#.##.##.#####.#.#.#####....##.#.###.####..##.##.###......###.##.######.#.######.##..#..#########...##...##
#####.#.#.##.###..#.######.#..##...##.##......#.##.####...#.#..###.#.#.#.##########.####.##.##.......#.#.#.##....##...##....#.##..##...##...#####.#.##..##.#.####...#.##..#.#...##..######.#.##..##..###.##...###.##.##.##...#.....###..##..##.###...#..##...#####.##...#.##.#..#....##..#.##..#.#####..#.......##.#..##........#.#.#####...##.#####.#...#.#.###.#.##...#.#..##....###.###..###.##.#.#.#.###..##..#..#####.##.##.####.#.##.##..#.#.###..##.####.#####.#.##.#.##.#.####...##.##.##.....###.##...#..##.#.#.##.#.####.##.#.#.####.##.###.#.##....##...##.####.#.#####..#.#####.#.#.......#####.#.###.###.##.##.......#..........##.##..####....##..#.....#######.#.#....##.###.#....##...##.#...##.#.##.#.######.##.####.##..####....##.#.#.#..#.#..##.#.#.##########..####.#..##..#.#####...#############.#.#..#.##...##..#.#....##.#######...#.#.##.##...#..###########..#......#.#..###.#..#.###.###.##.###.###.#..#
#.#...###.#..##..#####.#...##..##.##..##.##.#.#.....##..#.##############...##.##..........######.#.#...#.###..##..#.#....#.##..######.#####.##....#..#.###.#.##...###..##.###.#.##.##.##...#..##########.#..#.........#####.##.######..##..##....#.#.##....#.....#..#.#.###..##.###.##..######.#.....##.##.##.#.#..##.##.#.#.######...###.####.#..#....#.#.#..##.#.#..#.###.##..#####..##..##....###.#####...####.##.#.##...#.#..#....#..#..##.###...##.##...##.....#.#.##.###..#......#.##.##..###.#...#.##.#.##......#..#.#..#####....#....####.##..#.#..##.######..##...#...###.##..##.#####.#####.....#####.###.#..###..#.##.##.#.####.#.##..##....##.#..##.##.#####.#.##.#.#.##..###...#.##.##.####.#.#.#.....#.#.........#...##.###....##.#.#..#.#.####.#.#####.#.....##.####.#.####.##..##.#.#.###......#.##.###.#.#.##..#######.#.##.#.##.######..#.#...##..##.###...#...##..##...#.#.#####.....##.#.##...........#...#.#.##
#...###...#.####.##......#.##.##...##.#####.#.##.##.##.##.....##.#..#.####.......#.#.#.##..##.######.###...##..##.###.##.####.####.##.##....#####.#.##.#...#.###.##...##..#...#.##.#.....#.#.##.#.###......##.#.###.#..##...##..##....###.####.#.###.####.##.##.##.####...####.......##.#.##.####.##.##.#...#.####..#..#.#.#......###.....##.####...##.#.#.#.########.#.##...##.#.....####..#.#.##....#.##.#.##...##....##.####.###.#.#.###..#.###.######..###..##.######...###.#.######.##..##.###.#.#####..#..###.####.##.#.##.....#.###.#.##.#####...#.##......###..##.##.#........###..##....######.#...........####...##.##.##.#..########.####.#######..###..........##.###..#.###..#.#..#..#....########.#.##.##.##.#.#...####.#.#.#.##..####.#.#.##...#....##.#.######.#.#..#...########........#.#.####.##.#.#.#.#.###...###.######.#..#....##..#####.####.#...##.#...#....####.##.###.##..#.#.#..#####.###.##.###.###.####
###..###.##.##....##.##.##.##..###.##..##...#######.##.###.##.##.##.#.#.#..##.#.##.#.#.###.##.....#..##..#..##..###....#####.......##..##.#.#.....#.######.#.#.######..######.#.#..##.#.##.#........####.#.##.#...#########.#####..##.#.#.#....###........##.##.##.##...#######.###.###....#..##..##..#####.#....##.#.######.##.###...###....##...#.#..#.###.....######..#.#.#..##.#.##.###.#.#..##.#....#.#.##.#.##.##.##...##.#...#.#..##.####.#......##...##.##..##.###.##...#......########...#.#....##.######..##.#..###.##.###.###...#.....##...#...##.#.#.##...##..##.#.##.#####.#.###.##.....#####.#.#.#########.#..#.#..##.##...##.#.###..........##...#.#.##.#.#.##..##.##.#.#.####.###########..##.#.#.####...#.#.#.#....#.#...#..##.##...###..###.####.##.#............##.###.#########.#######...........#.#.#..##.#........#.#.##.#.#.####....##...#####.##..#.#####.##.##.##......##.#.####.###...######.##...#####.#
#...##...#...#.#.######.##..#.##....#.####.####.....##.#...##.#..#........##..#.##.#.#.#....###.#...####.######...##.#.#.....#.#.#.##.#####.##.####..##....#.#........##......#.##.##.#.##.#.#.#.#.##....#.#..##.###.##.#.......#####...####.#...###.#.##.##..####.##.#.#.......#...##..##...######..##.....###.###.###.......#.#...#.#...##..#.#.###.##...###.###.##...##.#.#.##..#.....##.###.#####.##.###..#.#.#..##..###..#####.#.##.#....#..##.###..##.##...##......#.##.#.#.####.....##...#.#.#.#.#####....##....##..##.##.#.....##.##.#######.##.#..###.#..#.#..#.##..#.##....#......#.#..#####.#.#####.........###.#####..#..#.#.......##.##.###.#..#.#.###..###.#..####..##...#..##........#.#.#.##....#....#.#.#.#.#.#.#.#####.##.###..###.##..##......#.##.#.#.####.#.#....#.#..##..#.######.####################..#.#.######...#.#..###....##.#..##.##.#...##.##....##....######.#####..#...##...#.#......#..###.......#
#.#..##.###.####..##.....#.#######.####....#....#.#.##.#.#..####...#.#.##.##.#####.###.#.####.#####.##....###.##.##..###.#.#.###.#.#......#.#..#....#####.##.#.###.#.####.###.###..#######.#.#.#.#..##.#.###.##.........####.#.##.....#..##..#.#.###.###..##.###.#########.##.###.#..#.##..#..##....##..#.#...###...####.#.#.##.###.#.###.##.##.###...##.####.......#.#..#.#.#..#####.#.#########......#############..##..##.##.....#.##.##.#...########..#..##.##..#.##.######.#...##.#.####.###.###.###...##.#....#.####.########.####..##..###.##.#..##...#.#.##.####..#.##.#..##.#.##.#.####............##.#.##.##..##...##..#######.####.##..#....#.#.##.###...####.##....##.##.#.#.#####.##.#...#.#.###.####.#.#.#.#####.###..##...##.##..##...##.##..#.#.##..###.#...##.######.....##..##.#.#.....................#.######......#.######..###.#.##.####..##...#.##..##.#####.#....#.#....###.###.##.###.#.#.#######...#.#.#.#
#.#.#####......##.###.#.##...##......##.#.###.#.###.##.#.##..#.##.##.#.#...#.#.....##..#.#.....#.########...#.##..##..##.#.#...#.####.#.#.####.##.#..##....#.###...#.##.#.#.....##.#.......#.#.####.#..#.#####..##.##.#..##..#.######.############.######.##.....##....#.#.##.#...#.######.#.###.#.####.#.##.######...####.#.##.##..#####..#.#....###.##..#.###.#.######.#####.##.....#.##.....####.##........##.....###.##..###.#.##.##.##.#.#........##.#.#######.#.######.####.#.##.#..#.#...###.......####.##.#.####.......##......##..##......###.##..#######.....#.#####.##.##....###..##..##.##.##.#..########..###.#####.....##....######.#.#.######....#.#.##.#####.#.##.#..#.#..##...##.###.......#...##.#.#.#...###.##..#####.##..##..#.#.#...####.###..###..#.####...##...#####..###.....##.##.#.##.##.#####........##.#.#.########.##.######....##.##.#.#..#.##....#.#.#.#.##.##.#...#..##.##..######.......##.##.#####
#.#.#.####.#####..#...#..#.#..###.##..#.#..##.#..##..###..##...##.##.#.##.########.###.#.#.#.#....##.#....#....#.##..##..#.##.##..#.#.###....####.##.####.########.#.#....#.#.##########.#.#.#....#.#.##.#.....##...#.#.##..####.###.......##.#.#.........##.###....####...##.###.#....#.###...###.##...###...#.###.#..##..#.##.###.##....##.###.##....##.....#.#...##.....##..##.###.#####.##......###.#########.##...#####..##.#..#.##.####.##.####.#######...#.###...##......#########...#.#...#.#.#.#.##.###..#....##.#.##..###.####..####.##.##....##......##.#.###.#.#.#..#.##.#.#######..##...##########.#...##.##..##....#.#####.#......#####.....##.#.####......#.###..#.##.####..##.##....#.########.##..#.#.#.#...#..##....##..##..#.##.#.#.###......####.##.#....#.#.#..#..##.#.###..##.##...#.#..#.##.....###.#.#.##..###.....#.#..#.......####.##.##.###.##..##.###.###.#.....#.#.#.##..#####..##....#######..#...#.##
#.###.#.....#########.#.##.####...##.#####.##.##.#..####.##..#.##..###.#..##........##.########.#......#.###.#######.##.##.##..####.....##.#.##...#....##....#.########.#.###...##.......#.#.##.###.#.#..##.#.####.##.#.###..##......####.##......#.#.#.###....#.##...###.###.#...#.#.##.....###...##.#.#...#...#.#.#.##..##..###...##.#.###.#...####.##..##.##.#.#..##.##.###..###....#.####..##.###.....##..##..#..#.##....##..#.##.##..##..##..##...#.#.##.###.....#....##.####.##.#.##.##.#######.#.#....##..##.#.#######..##....#.#####.###...##.####.#########.###.....##.#.##.#......##.#####...#.#.#......######..#####.##...##..###.#.###....##.###.#.#.###.##.##.##..##.##...##.##..##.#.##........#..##.#.######.##.##..#.####.##.#####.#.#..##.##.#..##...###.######.#.##.##......##..#..##########..#.#.#...#.###.###...###.#...##...#.###.##...##.##..####..##...#....#.##.#.##.#.#..##...#.#.##..##....#####.#.#....#
#.##....#.###.........#.#..##...#.##..##....######.###...#..######.###.##..#.####.#..#.#....#.#.##.##.##.#......#.#...#.##..##.#....##.##..###..####.###..##.#...#..#.#.####..###..#.#.#.###..#..#######.##.#....#..#.#...##..######....#.#..##.#.#.#.#...##.#.#.###.##...#.#####.#.#..##.#.#####.##..#.##.##.#...#.#..##..########.#..#.#.###.#....###..##..####.#.##..##..###..####.##.#..##..#.#####.#....####.##.#.#####.##.##..###..####.#..##..#......#.#.#####.####..#.........#.##..#.....##..#.##.#.###..#.#.......##.#..##...#.#.#.#####..####.......#..##...#.##.###.######.##.####...###.#.......########.#####.....##.#..##...#.###...#.###.#...#....##.##.....##.##..##.#####..##..#.#..##.##.##.##..#..#...#.##..######....##...##..###.#####..##....#.#....##.######.....##.#....###.....##.###.####.#.###...###...#..#####.####.##...###..#..#..##...#####..#...#########..#.########.##.####.####.#....##.#.#.##.#
#.###.#.#...###.##.##.#.##.##.#.#.#..##..#.##......##..####....##....#.#..##.#....#.#######.....#####.####.##.#...#.###.##.##..##.#.#...##.##..##......##.######.##........##...##.#.###.##..##.##.##....##.##.#.##.###.#..#.###.....#.##.##.#..#.#####.#.##.###...#####.##.##.##.###.##..#....##..##.#.#..##.##.##.#.####.##.......##.#.....####.##########...##.#####..##..##.##.#.......##..####.###.##.#...##.##.#.#.#....#.###.###.##.##.##..#.##.####......##......##.##.###.##....#.##########.####.#..##.#####.#.####..##.##.#...........#.##....#.#.#...####.##.##...#..##....##.##.#.###...#.##.#.####.#.......####.#..####.##.###...###.####..##.####.###.##.#.####.##.##......##..##.#.##..#..#..#..##.##...###..##....######..#.#####.##...#.#..##..#######.#.....##.#..#.#.#####.#..######......###.##.#...##.######.##...#.#.#.##############.##.##..###...##.#.########..#.########.#......#.####...#.##.#..###.#..#
###...####.##...#...###.##..###.#.##.##.##..####.#..##.#....##..##.#.#.##..#.#.##.#####.####.####......##..##.#####.##..##..##.#..#.###.##.#..######.####..##.......#.#.#.#####.#######..##.##......##.#..####.####...#.##.#...#####.####..#.#.##.##....###...##.#####.#.#..........#..##.#.#.###.###.###.##...#..#.###....###.#.##.##.#.###..##...........##.######.#..####.##.#....#.###..##.#.........###.#.#..##.###...####...###...#...###..##..#....#.##.#####.#.###...#...#..##.#.###..#####......######.....##.#..###.##..#..##.###.#.#.##..##.#.#.#.#.#....#.##.##.#.##..##.#.##....######.##..###........##.#.##.####.##....#....##.###.....####..#......#.##.#....###..###.#.#####.##.#.##.###.##.#.##..##.#...#.##..##...##...##..#.##..#.#...##.###...#.#.#.##.#.###.##.#.#....#####.....###.#.#......###.####.....##..#.#.#...............#.#########..#..#.#..#..#...#...##...##.#.#.##.##.##.##.##.##..###.##...##.#
#####.##....##.###.##...##.##...#.#..##.#..##....##.#..##.#..#.###.###.#..######...#.#.......#####.#.#####.#.....##..##.##.###.#.##.#....#.##.#.......#.##.##.#.#.###.#.#..##.....##....##..#####.#.##.##.###.....#.###..###.#.#........########..###.#..####.##..##.#...##.##.#.#.###.##.#.#.#.#...#.#....###.##.#...#.####...#.##.#..#...##.###.#.#.#.#####........#.###.#..#.###.##...########.#.##.#..#######.##.##..#...##.#.#...#.#.######..##.##.###..#..##...######.###.##.###.#.###.##...###.##..##....##.######...#####.##..#...###.#..#.#####.###.#.##.#.###..##.####.##..#..#.##.....##.###...#.##.###########...##.##.####.#.##..#.##.##.#####.##.#.#.#..#.##.########...#...#.###..###....#.##.#####..#.#########.###.#####..#.##..##.####.###..##.#.....#.##.#......#.#.#.##....##.#.#...#.#.##.#.#.###....#####.#..##.####.#.#.###.#.####..###...###...##.##.##...#...######........##.##........#.#..###...###.##.#
#......##.#.#...##.####.##.####.#.##..####.#..#.##..#######.##...#..##.####.#.####...#####.#.#.....#.###...#.#.#####..#.##.##..#.######.###########.#....###..###.##..#.####..#.#..####..##..#..#.#..###..#...#.###...##.##..###.#.#.##....########.####..##...####....#.##..#####..##.##.#.#...#.#.#.##.#.##...###.######...#.#..###.##.######...########....##.#.#.###.....####...##.#....##....#.##.##.......#.##..####.######.#####........##..###....########.#.###....#.#######..#........#...#..##..##.#..###...##.####.##.#..##.####..######......##.#..#.#..##.###....####.###.#..##.#.##....#.###.##...#.#.#.#.#.#######.#....#.###...##..#.....######.#.#.##.#.........##.##.#...##..##...#.#####.....##.#..#####.#...##...##..##....###.##.#.##..##..#.##.##.#..#.##.#.#.#.#####.#########.####.##.###...#.###########.##..##..#.#...###....#.##...###...#.##..#####.##.#.....##.###.#.#####..#.#.#.#####...###...#.##.#
####.#.#..####.###.#....##.#....#..##...##.#.######.#........#.####.##.###.........############.##.#.#.#.###.#####.##.####.###.###.##.....##.##.....##.#...##.#...#..##.#....##.##.##...####...####.##...###.##..##.#..#..##.#...#.#.##.####.#.#.##.##.#.#####....###.##.###.#.....##...#.###.#.#.#.###..#.##.#..##...##...###.##.#...##.....####.##.#...##.#..#.#.#..##.#.#....##.##..#.#.######.#.#...#.#.##.######.#....###.####.....#.##.#.##.##...######.##.###.#.##.#.........##.#.###.#########..#.##..##..#..###...##..##.##.##....##......##.###.##.##.#.#.###.#...##....#..##.#.##########.##.#...##.#.................#####.##...######.###.##.##..#..###..####.########...#.##.###.##..#.#.....##.####..##....#..#.#..##.####.##.##.#......#..##.#####.##.#####.#.####.######.#....#.#.#.######.##..##.###.........#.#.##.##..##.#.#..##.##....##.########.######.....###.######...###.....##.#.#.#...##..#...##.####..#
#....#.##.###....####.###..#.#.###.##.#.##.###...#####.#.#.#.#.###...###.###.##.##..##...#......######...##.........####.#.#...##.....##.##..#####.###.###.##.###.##..#.##.#.##.#######.##...#..##########...##.##..#.###.##.#.#.######..##....#.........######.#..##.#...####.#.#..###.###...#.#.#..##.##..#.#.####.####.##....#.###.##.##.##.........######.##.#.#.##..#.##.###...##.#####......#.#.#.########.#.#####.#......##..###.#.##.#..####.#...#........##...##.##.##.############..##...#.#######.####.#.######....###.#..##.#.####.########....###..#.#.#.########.#.##.#####.#.......##..#####.##.###.#.######.#######.#...#.#......#..##.##.###...####.###.#........##.####....#..####.###.#.##....##.##.#.##.#######...##..##########.#.##..#.#.....##.....###....#........######........#.#####..#...#.####.##...#.######..#.###.###..###.##.....##......###..#.###........#.########.##..#####.#..##.##.##.....##.#
#.#.##.##.#...#.###...####.###.##...#.##########.......###.#.#...##.###......##..##.####.####.#.#......###..#.#.######.....##.##..#.#..#.###.........#..##.##.#...##.####..###...##.##..##.#.##...###......#.##.###.#..##..#.#.#.###....####.#...#.#.#.#..##.##.##.##.##.##....#.#.##...##..#.#####.##..###.#.#.#.##..##..##.##.###....#.##.##.#.#.#.#......#..#.#.#.#####.##..###.##......#.##.#.#.#.#.......#..#.#.###.#.##.#..##...#.#.##.##..##..##.##.###.#.####.##..##.##............##....#.........###......##.#...##.#.###.#####.#.##.....#.####.#######.#....##....#.#..#.##......##.##..####......#..##.#.#####.....##.....#####.#.#.##.###.##..####.##.......#.##.###..#..##..#.#####....#####..####..#.##.#........##..#..##......##....###..########..#.##.####.#.####.#.#.######..#.######....##.##.#.#....#####.##.....##.##...#...#.##....#.######.###.##.##.#...##.##.##.#.......##..##...##..#####..#####.#.###.#
#.#..######.#.#.##..#.#....##..####.#.##.###.....#.#.#..####.##.#####.##.###..##.##.#.........#.##.##.#####.###.#.##.##.#.###.##.##.#.####.#.#.#.#.###.##...#.##.##...##..##...#.....##.####.##.###.##.##.##.##..####.####.#.###...####..#.#.##.######.##....##..###..#..##.#.##.#..##.####.#....##..##...#.###....######..####.##..##.#########.#.#.#.#.####.####.#.#......##.#...##.#.#######.#.#.###.##.##.#.##....#..#.##.#.####.#######..##..##.##.#....#.#.#.######.##..##.##.####.#..##.###.##########..##.#..#.#.#.##....##.##.......##.##....#.#.##..##..#.##....#.####.##..###.#.#######..###.#.#.###..###.....##.##..###.#.....#.#.#..#...#.##.##.#...#.#.#.######...#.#####..##.....##.#.....##.##...##.##.##.#.###..####.##..#.##.##.##..#####.##.....##.##.##...#....###.#........#####...#.#####..#####.#.###.########.###.##.###.#######.#......#.###.......#.###.##..#..####.#.#.####..##.####.####..###.##.#...###
####.#......#.#.##.######.####..##..#......#.###.#.#.####....##..##......#...##..######.#.##.#######..##....##........#.#.##...#.#..#..##....#.#.#..####..#.#.#..###.###.####.##.#.####.#.....#####.##.#..##..##...##...##.#.#...#####..##.#..#.#.......###.####...##.##..#.#.##.##.##..#.#.#.####..#####.#.##..##..##....##.....##.##...#.#.....#.###.#..#####....#.##.#.###..#.#..#.#....##...#.###...##.#.....##.#...##..###.#.##.##......####.##..#...#.######.#.#..#..##.#...#########.##.###.....##.##..##..##...#.#..#.##..####.##.#.###.#..##...#....##..#####.#.##....#.##.##...#.#...#.##...#.#.#...#.##...#.#.##.#####...#.#####.###.###.##.#..##...#.#.#.#....##..#.#....###.#..#.######.#########.#.########.#...#####....##.#..########........#.#.#.##..#.##.###.#.######.#.####...#.#.###.....#.###.##.#............#.##...#...#.....##..###.#.##.#####.#.#.#.###.#..######.#.#.####...##...##.....##......#.#.#...#
#....#.#.#.##.###...##....##.##.###.##.#.#.#####.#.######.##.#..##..#.##.###..##..#####.#.####.......####.#..##.#.#.#.###..##.#####.#.######.#.#.##....##.#.#.#.##...##..#.####..#....###.#.#...#....#.#.##..##..###..######.###.##....##....######.#.###....#.##.##..##.##.#.#..##.#..##.###....##..#.#..#.###.###..#.#.###.##.###.##.###.##.##.#...#.##...#####.####..#...#.##.##.#.##.#.#..#.#.#####..#.##.##.#####.##..####....#####.#.#.##....##.##.##...#.##.#...########.#........####....#.#.#.....####..###.###.#.#####.##.....#.#...#.##.#######.#####..##...#.##.####..#..###.#...#....#####.###.########.#.#.#......###.#.....#..######.#######..#.#.#.###.########.##.#...####.#....##..........#.#........###.#####.##.#.##.####........#.##.###.###.##.####....###.....##.#...##.#.........##.##.#.#.#..#.#.#####.#.##.##.###.###.##.####..##.#.#......#.#.#.###.#.##....#.#.#.#....##.#####..##.##.##.##########.#.#
###.####.#.#...##.#.#..##.##.####.#..#.#.#.#.....#.#......##.#.####.#..#####.######.#...###....###.#.##...##.###############...##...#.#.#....#.####.##..#.#.#######.######.#.###.#.####...#.#.#...##.#.#.###.###...##......#######..##..##.#..##....#.#...##....#####.#..##.####..####.....##.#.##..##.##.#..##..##.##.#.##..##.##..#.......#.#..##.##.##.#...#.#....##.##.##.#..#..#..######.###....##.##.##.##..###...##.##...##.#.....#.#.##.#.##...####.#...#....#.#.##.##..#.##.##.##.####.######.##.##....##.....###.....#.####.###.#.###.#......##......##.#..###..#....#########.#.#.##.#..#######.......#####.#.###.########.#.#.##....##...##.....##.#.###..........#..#.#.#..#.###.#.##..#.######.###.#.#.##..##.....#..#.#.##....####.###.###...######..#...####.##...#.#..#.#.######.#.#.##.###..#.....##.###.....#####..##.###..##..####...##..#...#.##.#.#.#.....####.##.....#.#.##.##....##.##...#..#..........#####
#...#....####.########.##.##........##.#.#.####.#####.#.#.##.#...#######.....##.......######.#.#...#.##.#.##.........#..##...###..#.###...#.####....##########.......##..........#....#.#####.###.##.###..##.#...#.##.##.#####.#...####.##.#.##..##.#.###..##.#####.###.#######..##....#####..#####.....#.##..##..#.##.#####..#..##.#.##.####.##.##.##.#..#.#...#.#.##..##..####.##.##......###...#.##..####..#####...#.##.#..#..###.#.###.#..#.#.##.#.##...#.#...#.##......##.##..#.#...#.#.#....#..#.#...##.###..#.#..##.###.###......#.#...#.##.##.####.#.####.##.##..########..#.#...#.#..#.##....##.#####.#.....#.#####...##.###########.#####.####.#.##..#...##.#.#.##.##.#########.##..#####.#...#.#####..###..##.##.#.#...####..##.###.#...##...#.#...##...####...##..###.###.##.#......#.#.#..#...#.##.###.##...##.##..#.######...#.###.###.##########.##..#.###.#.#.#..##...#.#.#.#.#.####..##.##..##.##.##.###.####.....#
#.#.###.##......##.#...##.###.##.#.#######.##....##...###.##.#.###.......#.#####.#.##.##...###.##.##.##.#..##.##.#.###.#####...##.#..###.##...#####.#.##.#...#.#.##.####.#.#.#.#.#.##.###.......####..###..#.#.#.#.##..#...#.#...#..##...#.#.##.##..#.#...##..###.#.##..##....#.####.#.....##...##..#.#.###..####.####....###.##.##.#.##....#.#..#...#.##.#.#.#####..##.#..###...#..###.#.#..##.#.#..##....##.....#####..###.###.##..#..##.##.#.#.##.#..##.##.###.#..#.##.###...#.######.....#.##...##.#.###...#####.#.##...######.##.###.#.#.#.##.#...#.#.#....#.##.###.#.##.#.##...###.#.####..##.###......###.#.#.#.....#.#..#.#.##.#.##.#.###.###..#.#.###.#.####.#.####.#..#.#...##...##...##..#.#.....#.##...#.###..#.#.###....##.##.#...##.##..###.##.##..#....##.###.##...##..####.#.##.#.#.#.########...##.#..###...#.##....#.#.#####.###...#.######.#..#.##..##.#.#.##..##.######.###..####..###..###.##..#.##.....#.#.###
#.#.#....##.#.#....#.#.#..#...##.#....#.#..#..#.#####.#...##.#.##..##########....#..#.####.....##.##..#######..#.#.......##..####.#.##.#.#..#.#..........#.#...#.##.#..#######.#.#..#.##..##.##....##...#.##.#.#.#..##.#####.#.#.#.####.####.#...##.####.####........##.###.#...#.##.#.##.####.####.#.#..###...##..##..####...##.#..#.##.##.####.#.#.###..#.#.##.#####..##.#...#.##..##.#.#.#####.#.###.#.###.#.#....##.##....##.##.##.##..#..###.#..##..#.##...###.##.##..##.######.....#.#.#.###.#####...###.#.##..###..#......#.#...##.#####.##.##.##.#.#.#.##.##.#.............###...#..##..##......#.##..##.###.#.#.###.#.##.#.#....##.#.........######...#....#.#....####.#...#....####.#####.###.#.###.####.####..##.#...##########...#.##..##...#..#.###.#.##.#..#.#..###..##....######.###.#..##.############...#.#.######.##.#...###.###.###.#.##...########..#.###.##.##.....##....##....##..##.##...###.#..##.#.########
###.#.##.####.##.#.###.#.###.##..##.###...###.#.....####.##..#..##.##.........##.######.####.####.######.###..##.#.#.#.#.###....###.#....##.#.###.#.##.######.##.#....##.......###.##.##.##..#..#.####.#####.#.#.#.##....##....######.#...#####.##..#....##...#.##.####..######...##.#..#.##....##..#.##...#.####.####.##...#..#.##.#.##..#####..#.#...#.##.#.#......##.#..###.#.##.##..###..##...#.##..#.##..###.#.###..###.##..#...#..##.##..#####..####.##.#..##..#..##..#......####.##.###..##...##..#.#......##...##.##.##.##.##.###..#.#####.#..#..#.#.#.##.##.###.####.####..###.##.####.#..##.#.#..#.##....#####...#.#........##....##.##.#.#...##...#.#.#.####.####......####.#####...#..#.#...#.#......#....##.##.###.....#.##.#.#######.##.#.#.##.#...#.#..##...##.#...##..##......#...####.....#.#.#.#.##..#.#.#..#.##.....#.###.#.#.#.#.#....##.####.#..##.#..##.##..#.#.#.##.#.##..#.#########..#...####.##.#........#
#...#.##.#....##.#.###.#.##...##.##...##.##...#.#.#####...##.#.##...######.##..#.#...#.......##....###.#.....###.#.#.#.#...###.###..##.#..#.#.##..#..####.#.###..##.#..###.###.##..##.######.#.##...##.....#.#.#.######.##..##.#......#.###...########.#####.##..#..##..##......###..#.######.###..##.##.#.#....#.##.#.#..#.#.##.##.#..#.##...####.###.###..#...##.######.######.#..###...##..#.#.#.##.##..##...#.#...#.##....####.#.#.#######....###...##.##.#.####.##.##.###.######....#.########.####.###.#.#.###.######...####.#....##.......#.##...####.#..#..###......#....##...#.##.#.#####.####.#.######.#.##.##.#.###.###.##.##.##..#..#.#.#.#..#.#.#.#.#.#.#########.##....#..#..#.###.####.#.#.#.########.###.##..##.###......#....##...##.#.#..#.###.####..##.##..###.##.##..######.#.#....##.##...#....#.##.####......#.#####.............#####.#......#####.##...#.###########..##.#.##.#########.#....#..#.##.#.##.##
#####.#..##.#.####...###.#..#..###..#.######.####.###...#.####.###.###.....##.######.#####.#.####.##.....#.#...#.#.###.##.##...##..##..#.##.#.######..#.....###.###.#.##....##..##.##.#......#.##.###..##.##.###.....##.##.##..######.......#.##........#.#...#####..##..######.####.#.....##..##.##..##.#.#.#.#####...#.####.####..##.#.####........#...##.##.##....#.#.....##..#.##...###..##.#.#..#.#..##..#.#.##.##.#####..###.#.#..##.....#.##.#.###..#..#....#.##..#...#....#.###.##.....####.#.#...##.#.#.##......####....####.#..##.#.#.####..#....#.#.##.######.#.###.####.#####.....##......###..#####.#....####.##...##..#..#..#.#######.###.####.#.#.#..........##.#..#.###...##......##..#.#....#########.#.###.##...#.#.#.###.######..#.#.##.#..##...###.##.###.#....#..##....##########..#....#...#.##.####....#.##.#.##.##.##.#.#.###.####.#...#.####.###..##.##.#.#.#.#.#########....#.##.##...#.#.##.##.#..####..#
#.....#.##..#...##.#..####.#######.##.#.......#####...#.#..##..#...#.###.#.##..####........#..##...##.##.#.#.###.###....#..###.#####..##.#..#.#.#..##...#####.....######.##..##..###..#.####.###...###..#.##.##..###.##.######.##.....##.#.######.##.####...#.....##.##.##..###....#####.#.###.##..##.##.###.#.....##.##.#.......##.#..#.#..####.#.####.###.##..##.###...#.#######.##.#..##.##..#.#.##.####..##.#..#.##.#.....##.###.#.####.#.##.#......##.##.##.##########.###.#.....#..#.#.#..##....##.###.#.#..##.#.#..#.#.##..##..#.##..#.#..###.##.#.##.#.#..#...##.#...#.##.......##.#.######.######...##..##.#...######.####.#.###.#.....###.##..#.######.##.##.#.########.#####.####.##.#####.####.#.....#...#.#..##..##.######..##..#.#...####..#.#.##..#...###....###.#.##.####.###.##.##....##.#.###########.###.#.#.##.#........#.#.#.##.........#.####.#.#...##..##...............##..##.......###.#.#.##..#.##....#.##
#.#.#.#..##.#.#.#..####......##.....#.##.##.###.....#.###.####.##.##..#######.##.#..#.###.##.##..#.##..#.#.#.###...###.##.##......######.#.####.##.#..#....####.#.#.......#.##..##...##.##....##.###...#########...#.##...##....####.##..#..###...##.#....####.############.....#.##.....#...###..##..#...##.#.#.####.#..##.#.#.#####.####.##....#....###...##.###...###.#..##.....##.##.##.##.##.####....##..#.#.#######.#.#......#.#.##...#.######.####...#.#....###.#.####.###.##.##.##.#.##.###.###....#.###.#####.##...#.##.##..##..####.#.##....#.#..#.#.#.##.#....##.##.##.#.#.#.##.#...##....##..#.#..#.###.#.#....##....##.#...###.#.###.#####....##.....###..#....##......##.....#..#...#.###..#.###.###.###.##..#.###......##.##.##.###...##.####..##.##.##...##.##..#.##...##.##......##.#.####.#.###.#.##....###.#..#.#.##.#.#.###.#####.#.#.#.##........##.###.##..##.##.#.##.######.##.###.###...###..#.##..##.#.#..#
#.#.#.#.##..#.#.##.##...#.#.#####.#####...#.##..#.#.#...###.....#.###.........##...####...##.#####.##.##.#.#...#.#..##..#####.#.#..###...#.#.........###.#..##..#####.###.#.###..###.#..#..#.###..####...##......#.#.#..######.##.....##.##...##.######.#.##.#....##........###.######.#.#.#...##..##.##.#####.###....#.##..#.###.##...##.....##.#.######.#..#.#.#####...#.##..##.##..#..##..###..##...#####.##.#...##....#.##.############.#..##.......##.#####.#..............#.##.#########....#...##.#.###....##...##.###..#..#####.##.####..####.#.##.###.#######.#.####..##.#.###.##.#####..##....####.##...#.#.#.#.####.###..#.#####.#........##.##..#.###.####.##.#######.#..#.##.##.##.#.....##...#.....#.###..#.##...##.#####..#......####.##.#.##.###.#..##.#..#..##.#..##.##.....#######.#..###.....#.#..##.########.###..#.#.#...#.....#.#.#.#####.###.###..#.#.###..#.##.#..#.##.######...#.##..#.#############.#.#.##
#.###.#.###.#.#.##.#..#.#.#.#.#.#.###...#.#####.###.##.#####.#.####.##.#.###.##..#..##..#.#..#.##..##..###.##.####.##..##.....###.##...#.#.###.#####.##..#.####.#.....#...###...###..#.#####.#.##...###.#####.#.##.####...#.########.###.##.#.##.#.###..###....#######.#.####.......##.###.#.###..##..#..#.##....##.#.#.###.#.....###.##..##.##..#......#.#.##....#.####.#..##.#...#.###..##.#...#####...##..##.#.#..##.#.###...########.#..##..#.##.#.##....##..##.##.##.##.####.##.........##.###.#.####.####.######.##...#########....#...##.#########..###..##.....#...######.#.#####.....###.#..####.######.####.#.###......##.#..##.#####.###.#######.#..##....####....##...#.##..###...#.##.####..#.###.#...#.#.######.###.....##.##.#.#....####....#...####..#.##.##.#..#.##...###.#.......####...#.#.#.#.#.##....#.##....#####.#.##.###.#.##.###.##.##...#...##...#.#...####..##.#.....#...##.######.#........##.....#.#..#
#.#...#..##.#.#.##.##.#.#.#.#.......#.#.#..##.###...#..#.....###.#...###.##...##.#.####.#.##....##..##..##.##...##.###..#####..##..##.######.#####...##.##...##.#####.###..##.#.#.##.#######...####.#...#.#####.##...####.#............###..#..#.#...##...##.#.....##..######.##.#.##...##.#.###.##..###....#.##.##.#.#.#...##.#.##...##.##..#####.#.##.#######.#.....##.#.##..##.##.#...##..###.##....#.###..###.##..#####...#....#.#.#.#.####.###..###..#.##..###..#.####.....####.#####.#.#....###....#...##....##...#.#...#.###.##.#...#..#......#.#####...#####.#.###..###.#.#...###.#.###...##.###......####..#.#..##.#.#.###.##.......########...#.#.#.####.#....##.#.#..#.#..##...##.##.##..######.###.###.......#.##...#.#.#.##.##.#.###.##....##.#.#.##...#####.##.#.##..#.#..##.#.#.###..#.##.####.#......#.####.#####...#####.##...#.####.##.....##.#.#.#.##.#######....####..##.##...###......##.#.##.#########.##.####
###.#.#.###.#.####.##.#.#.#.#.#.##.####.#.###.....#.##.##.#.####.###.#....##.##..#.##...#.#..#.##..##..###..##.###...##.###...######..##..#........#.##..#.#.##.#.....##..#####.#....##.#....#....#.#.#......##.##.###.##.######.##.#.#####.#.######....#..###.#####..##......####..#.#.##.#...####.##...##.###..#..#.#####.##.#.##.#..#.###..##...###...#.#.#..#.#.##########.#...###.#..##.#....##.###...##.##...#.###.##.#.#.##.......#.#.#....##...#.##..##.##..##....##.##..##...##.########..##.#.##.###..##..###.###.#........#.#.###.##.#.#.##.....#.#..##...#..###.....#.#.#...#########.#......####......##.##..#.#.#...#.#..##.##...#...##.###.#.#...##.#.#.###.####.###.##..#..#..#..##......#.#.....###.#.###.##.#.#.######.#..#...#######..#.###..#.#..##....#####..#####.##.#.#...##....#..#####.##.#......#.#.##..###.#######.##....#.#..#.####.###.####...##....####.###..#..#.#...#.#.#######..#......##....#....#
#...###...###.##....###.#.#.#.###....##.###...#####.##.#..#.##....#....#.##...##.#..###.####.#..##.###.##..##..##..###....#.#..##....####...##.#.#.####.##.#..#####.#.###...##..#.#.###...##.########.##.###.##.##..##....###....#..#....##.####.....#.##.##.......#.##..#.##....##.#.#..#.#.#..#.####.#.#....##.#.##.##....##.#.##.#.##...##..###...#.#.....##.###.......##.#.##.####.##.######.##..##..#.#..#..#####......#.#..##.####.#.#...#.##..#####..###.###..##.####.#####..#.....#.#.######..#..#...##.#..###....#.##.#.#.###.#.######.#.#.#..#.###.#.##..#.##..##.#.###.#####..#.##.##..##.#.#...##.###.###.#..####.##.#####.##.#..#...#........#.##.##..#.#...#..#######.#####.##.##.####.########.#.###..#.....##.#.#......#.#.##.#..#.#####.#...#.##.#.####.#...##..###.....#.#.#.############...#.##.#.#.####.#.###.........##...##.#####.##....#..##..#.#.#..##.#.##.#.#.####.#####.####..##.#...##.#.#.###.#.###.#.#
#.#.##..#..##.####.##...#.#.####..##.#....#####.....##.######..##...##.#..###.#..####...##...#.##....#.#..##..####.##..##.###.##..##...####.####.#..##..##.#.##.....#.#...#####.###.#...#.#....###.#..##...#..####.##..#.##...##.#.##.#####....#######.##..##.#.########.#.#..#######.#.##.#.##......#.#.##.#.##.#..#.###.#.#..#..###.##.###..##...#.#.##.#.######..#.#.#.##....#....###...##.....##..##.#######.....#####.##.##.#.....#####.#.#..##.##.###...#..##.##...##.....###.#.###..........##.##.########.##...#.##.##.#.#...###......#.#.#...##...###..######..##..#.###....###.......##.#..#.#.#..#...#...####..###..#....##..####.##.##.####.#####..##.##.#.#.##..##.........#.####..##.#...#.##...#...####.##.##..#.#.##.#.#.#.##.##......#####.####..#.##...#.#####.#.####.######.###.#.....#..#.#.####.#..........##.#.##.######.##.##.##..##.####..##...#.#####.#..........##...##...####....###.##.######..#..##.#.#
#######.#.##...##...##.##.#.#....##..##.####.#..#.###...##....####.#####.##...#.####..#..##.####..#.#####.###..##...##.##...#.##.##..#.#....#....#.####..#.#.#####.##.#.#.#############.####.#.....####..#.#.###....##.#.###.##..#.#......#.#.##.......##.##..#.....##.######......##.#..###..###.#.######..#.##.##.#.#...###.###.##...#..##.##..#.#.#.#..####.#...##.#######.###.#.###..#.##.#.#..##..#.##.#....#.#.#.#....###..#.#.#.##..#####.##......##.#.#.#####..#..###.###.###...##.#.##.#####..#....##....##.#.#..#.##.#.#.#...#.##.#####.##.#########.##......##..##...##.#...#.#.##.###.##.#.#.##.##.##.#....##...##.#.#.####..##...####....#.....#.##...#########..##.###.##.#....##.##...#...######.#....#..#.#####.###..###.#.##.##.######.##..#.###.#.##.#.###.......##.......##.#.....###...####.#.##.#.##.#.########.####.#.####......#.##.....##..###.#...##..##.#.#.#.###..#.##.#....#.#.##...##......##.#.###.###
#..#....#..##.####.##..##.#.####.##.###.##.....##.##..#..##.#.##....#.#..#..#.####...##.##...##..##...##....##.###.##..#..#####...##.##########.##..#.#.####.#.....##.#.#...##.....#.##.##...#.#.####...####.#.##.###..#.#...#..####.##.#######..#####.##..##.#.######..#.....#.####..##...##..##.#......##.#.##.##.#.##.##....#####.#.##.#..###.###.####....#.#.###.....##.....#.###...##.##.#.#.##..##.#....##.###...##.#...####.#.#....##.....##.#.##.##.#.#....######.#....#....###.#..#..#.###.#.###.#####.#..###.####.##.#####.###.##...##..##......##....##.#.#..######.######.####.#..##..##.###.##.#######.#.###.#.####.#.##...##..#....##.####.##.######.....##.#..###.##...#.#.#.###.#..#.#.#....##..###.###.#..##.....##...###.##..#.###.##..####.#.###..###...##.#.#.##..#.#.####...################.############...##............##.###.#####.#.########.#.###..###.#.#.#...##.#.##.#.######.##.#.##.###.##..#.##..###
##...#.##.##....######.##.#.#....#..##..#####.###.##.##.###########...##.#.##.#....#.##..##.##..##..#..##.######...##.###....####.#...##.###.#...####.....######.#.##.#.##########.......###.###....###.#.##....#..###.####.###.##...##...##.#######...##.##..#...##.##...#.#.#..######..#####.#..###.####..#.##..#.######..##..##...####.##.#.#.#.....###.#...#...###.#.##.#.###...###.##..###.#.#..########.#...##.#..#.##.##....######..##.##..#.#.##..#.#.####.....##.##.#...##...###.###.#.....####.....##.#.##.....##.##.....#..##..#.#####..##.#######.#.##.#.##..##.........###.##.##..##..#.##...#......##.###...#....#.#.##.###..##.#.##.....####...##...###....##...#.#..#.#.#.#...#.#.##.####.#####...#.#.###.###.#.###..#.##...##.#......##.........##.##...########..##.###....#.#........#..##.##..#.#.#........###..#.##.#######....#####...#...##.#.#.#...##...#.###.##.##..#.##.#....###.##.###....#..##.#..##...#
#..#.#.##..##.#.#.......#.#.##.####..##.#...###...##.####.##.#.##...#.#..#.##.##.#.#.##.#######.#..######.#.#.###.#####...##....#######........#....##.####......#..#.#.####.......###.#.##..##..##.#......##.#.##..##.###..#.#.#..#.##.###...#.#....#..#.#..##.#.....###.#.#.##......##...#.####..##...##.##.##.##...#.###.###.#..#....#.#....#.#.##.##...#####.####..#..###...#.###....##.#...#.#.##.#......##.##..#.##.##..#.##..#####.##..#..##.#..##.###....#.#.######..#.#..#.#...#..#####.##.##.#.#.####.#..##.##.##.##.#.#.#.##..####.#.####......#.#.#.##.#..##.##.##.########.######..##.#..##.####.#####..##.#.##.########...##..#.#.##.#.####.###..###...#.#.###.###.#.##.###.#.#####.#..##.....##..###...#####...#..##########.##.#.##.#....##.##.#.#######..##.#.#..##..##..####.#.##.###...###..##.#.#...###########.#.##.......##.#####.###.#.#......###.#.#..#.#...#..#.##.##..#.##.#...#.#....#.#.######.##..##.##
##.###..##.##.########.##.###...##..##..#.#..##.#.####.##.#....#..#.#.##.#.#..####.#.#..##......##...#.#.......##....###.##..#.######.######.#.#.##.##....###.##.##.#.#.#..######.##...#####.###.#######.#.####.##.###.#...##...##.#.##..##.#.....##.#.#####.##.#.#.#.##..#.#.#..##.#..#.#....##..###.####.##.#..##.#.#.......####.#.##.#.#.##.#.###...###.....#..##..###.#...#.#..##.#.##..#.#.#.#.#....####.#...#.##.#..##.##..##..#..#..##.##.####.##...##.####.#.....###.###.####.###.##.#.#..#..#.#######..#.###..#.#...###.###..##...#....##...#.##...###..#.##..#..###...###.#.#.#..#.#.###.########.......####..#.#.....#.#.##.###.####.##.#......########.#####...#.##..#..#.#...#..#.##.##..##.#.####...#.#.....##.###..#.#.#...####.#..#.#.#.######.###.......##......########.#..#.#.##...#.#.#.##.#......#..........##.#..###.#####..........#.#.#.##.#####.#.##.#.#.#.#.#######..##.##.##.#####.#.#.###.#..###..##...#
##..##.#########.##..#.##...###..##.##.#####....#.#.....#.####...##.######.##..##..#.##.#..####.###.##.##.####..##.#..##..##.####.#.#.#.#....#.#.##.##.#.##....#.#..######.##.....####.##....#......##...#....#..#.#.####.####.###.###..##..##.##..#.#####...####.#.#.###.#.####..####.#.##.#..##...#.##.###..##.##.###.##.#.##....#..#.###..#.#..##.#.##..#.###.####..#####.##.##.##.#.###.#.#.#####.##.#....#.#.###..##.##.##.####...##.##..##...##..##.##..######.##.##....##....#...#......#.###.........##.####..######..##...##.####...##.##.#.#####.####.##.##.##.##...#...........##...##.....#...#.##.#.####..##.#.#.###....#.##..#.##.#..###.##.....##....#.##.#.#.##.##.####.#.##....#####.####.##...######.#.##..#.##.......#####..#.######.#.##.#...#.##.##..##.###...##.......##.#..###.#.#...#....#.#.###.#.#.#.####.#####...##.####.#.##.######..#...#.######.#.#.###....#.######.#######.##..###.###.#.#####..##.##
#..##....##.......##...###.##...###.#..#...#.#.##.##.##.#.##.##.##...##....#####..##..####.##....##.##.......#.###.##.##.##...#.#.....#.###.##.###..##.###..#.###########...#####.#.....##.#.#.#.#####.#.#.##.#.##.#..#.###....##...###.###.#..#..##...##..#..##..#.#..##.#.#....###.#.#.#########.##....#########....######..##.#.#.##...##.#.##..#.#.###.#...#.#.#..##.....#...#.##.###.#.###.#......####.#.#.#..##.##...#..###.#..#.##..##.#..#..##.##..##......########.#..##.####.##.#.####..##.##.####..#....##...##...####.##.....#.#.##.##.#...##.....#..###...#..###.#.#.#.##.##.####..#.#.#...###########.#.##..#.#.....########....####..##..#.######.#.##.##.######.##.#.####.##.#.##......##...###..#.##..#..##...##.#.#####...##.###...........#.#.#..#..##.#####..#.######.#..####...#.###.#...####.#...##########.#...#.#.#......#########.#..##.#.#......##..###..##.#.##...##.#.#.#.###.###.###...........##.##..#
##.##.#######.#.#....#..#######...###.####...#.##.#####..........##.####.#.#.....##..##....#..#.##..##.#.#.#.###....#..#####.##...#.#........#..##.###.##..##...#.###.#.###..#....#.#.###..#.#.#.####..#.#..#.###..##....###.#.###.##.....#.##.#.##..#####.#.####.###.##..#.##.#.....###....##......#.##.........##.#.##.#...##..#.#..#.###..#..##.#.###...#.#####.##..#.##.###.##.##.##......####.#.#...####.#.##..#.#..#.##.##....##..##..#.##.#.###..##.##.######....#.#.##.##....#.#..#....##.##..######.##.####..#..###..##..##.##.####..#.##.#.#.###.#.###...#.#.#.##...#.#.#.##..#....##.###.#.#..#.#..#.#.#.##########.##..##..#.#.##.###..##..##......###....##.##.#.#.#.....#####..#..#####.#####...##....#######..#.#..#.......####...#.#.##.#.######.#.##.###..##...####......#.###.##.####...#.#....#.#.#........#...#.#...#.#.##.#.#.###.##....##..####.###..##...#.##..#....###..........#...#.#...#.###.######.###.#
#..##.....#########.###...#.#...#.#####.####.#.####.#.##.#.####.###..##..###.#.#.#..####.####.#..##..###.#.#######.###...##..##.#.#.##.#.#.#.##.#..##...#.###.#.#.....#.#.##...#.##.#..###.#.###....######.##...########.#...#..#######.#.#.#..#..##....##.#.#.##.#....##.###..##.##...####..#.#.#.####..##.##.###..#.#....#..##.#.#.##...####.##..#######.#........#.##.#..##..##.##..#.#.##.##...####.##....#.#####.##.#.########.#####..#######.##..###.#..###.###.###.#..#.#..#.####.##.####..##.###...####...###########.##.##..##...##.##.##.###...###...#.#.#.#.#..###.#.#.####.##########...####.....##.#....#.#.##..#####....##.####.#...####.##.#.#####..#.##..##...####.####.#######...##....##..#.###.#.#.....#######.##.#.##....#.###.#.#..#..##.####.##.##..#####....###.#.##......#.#.####.###.#.####.#.#.##.#...######.##.###..#....#..#..#.####...##...##.#..#.#######.##...#.#.##.###.#.#####.#.#...#......###.#.#
#.####.#.##..#.#.#....#.###...#.#.#..........#.#.#.......###..#...##..##...###.#.#.###...##.###.####..##.#......####...#..##.##.#.#..###.#.#..####..#.#.#.##..####.##........#.#..####...#.#.#...##.....####..###..........#.##..##.....#.#.##.#.####.#.##.#....#####.##....##.##.#..#########.###...###..####...##.#.#.##.##.##.###.##.###.....#.##.......##.#.#.#.#.####.####.##..##.#.#.##..###...##.###.#.#.....######.#.#.#.......##.##........##.#.####.........##..##.#.##.#.#.#####....##.##.....#..##..#......##......#..####..#..#..#.#...##.#...#.#.#.#.#####.##...###..##...........#.#....##.####....####....##.###.##.#.......#####....######.....##.#####....#...##....#.....##..###..##..#.####...###.#####..##.####.####.########.####.##......##..#####.##....######.#.##.#.######...##...#.#..#####.#..#######..#.###....##.#.##...##.####.##.#.#..#######.#......#####.#.#.#.##.##.......##############.####.###
#..##..#####.#.....#.##...###.#.########.##.####.####.#.#####...#.##.####.##...#.#...#####.........##.##.#.#.##....##.##.#####..#.#.##...#.#.##....##.#.#..####.....####.###.#.##.##.#.#########..#.#.#..####...##.##.#.#.##..##.##.##.####.##.#.#.##.#.##.#.#.###.....##.###...####.........####..#...##....#.###..#########.#..###.########.###..##.#.#.##..#.#.#.#..##..#.....#####.###.###.#...###...######.#####......#.....#.#.###...#######.##..#.#....#.#.#.#..##.######..#....##...#.###.#..##.##.####.##.#.#..##.#.###.##....#####.##.##.###.#.#.###.######....####.#...###.##.#.###.##.#.#.##.......####.#..#####.#.#.##.##.###.####...##.###.###.##.#....##..##.#.#..##.#...###..##...######.#..##..#..#..###.#.##...##.....#........####.#.#..#.#####.##..#..###.#...##...#.##.####..##.#####.#####....##.#####.##.##...####.#..#.#.##.#.#........#.#.##...#.#.######.#.....###.#.#.#...#.##.####.#.#.###.######..#.###
#.####.##......###.########...####.#.....#....##.##...####....#.#.#####....#.#.####.##.....##.#.#.##..##.#.#.##.##.##..#....###.#.#####.##.#.###.#..#.#.#############....#...#..###........##.##.#######...######..#..###.###.##.#...###....##.#....#.#..###.#.#...##.#####...#..##..#.#.#.#..##..##.#####.###...##.###.......##.#........##..####..###.#.#####.###.##.##.##.#.#..##.#.#....######...##.##.........##.#.####.##.##.#.#######........##...#.#.##.###.##......#.###.##.#..##.##...#.#.#########....#.###.##..#..########....##..#.#....#.###..##......#.##..###.##.###..####..##..###.#..##.#.##........####.#.....##.##...#.##.###..#......##.##.###.###.###.###.#####.#.######..#...##.#.##.##.##.##.##.#....#.###..#.#####.##.####.....#.##..##.#####...##.####.####.####...#.#.###....##.....##.###...##.........###.#########..###...#####.##.#.#..#.......######.#.#...#.###.###.###...................###.....#
#...##..######.##.........###.#......##.##.#.##.....###....##.#.#..##...#.##.###....####.#.#..#.#####.####.#..#######.###.#..########...#..#..##.##.###.##........####.###.#.#.##...#.#.#.##........##...#......#.###.#....##.##.#.#.#...#.###.##.#.#.####...#.##.###.##.#..#.##.##.####.####.###.##....##...#.######.###.###..###.#.####..##....##.##..#....##...#.#..##..###.##....###.#.##.#.#..###..##.#.#.#.####.###....#..#..#...#..##.####.#.##.#.#.#..#.#....##.###.....#.#############.###....#.##.#.#.##.#....##.##.#.#.#.####.####.####.###...#.##..##.#######...#.#....##..##..##..##...#.###.#.###.##.##........##.##...#.###....##..###.#.###..####.....###....##...#####...##.##.#.#.##....#..####.........####..##.##.##.####.....#####.#..##........#.####.#..#.#.##.#....#.......#.####..#.####...###....#######.......#.....##.##..#....#######.##.#.#.###......#.#.#.#####....##...##.##.#.#.#.##.######...##.##
#.#.###.##......##.#.##.###.########..###..#.##.#.#...####.#..#.######.##.##..#######.#######.#...##....##.##.....##....#.####.#.##.##.##.##.##..#..##..#########......#...#.#.####.###.#..##.#.#######.####.#.####.#####.###.#..#.#.#.#.#.#...##.###.##...#.#.#....###....##.#..##..##.....#..##.##.#.##..###.###........#...##...#...###..#.#.##...##.#.######.##.#.######...##.##..######......##...#######.#....########.##.##.#.#...#####....#..#####.#.##.##.###....#.#######...#..##.###..##.#.##....#.#..####.####.##..........###.##.#......#.#.#..##.##...##.###.##.##.#..##.##.###.##..#.#.#.###..##.##..#.#.###.##...##.##..##.#.####.##..#..###...##.#.#..#######..#.....#.#.....#.#.#.##.##.#####...#.#.##.###.#.#####........##.####.....#.##..##.#.######.#.##.#...##.###.###.#.##......##.#..##..#..###.#..####.####.#.##.######..##.####.......#.#..#.#...##.#.#.#.#.#....#####.##.#.##.##.#.###..#.....##.###...#
#.#...########.##..#..###....#.......##...##.#..#.#######..##.#.##.....##.##.##.#.##..........#.#..#.#.###.##.#.#####.###.##...........##.##.###.##.##.##.####.######.##.###.###....#...#.##..#.....##.....#.#.#.#.....#..##..####.#.#.#.#####.##..####..#.###.##.#..##.##.##.##.##.####.#.##.##...#.#..##..##...#####.##.#.#.##.#.#.#...##.###..#####..#......###..#.##.....#.##..####.#.###.###.##.#...###...###.###.......#..##.#.#.#.##.#####.#.###.####..###..#...#.#####......###.##....##.##.####.####.#.##....##....##.#####.#......###.#.#.##.####.#...#.####.....##.##.##.##.##...#..#.####....###.##.##.####...#.##.#######.##..#...##..##.##..##.#..#.#.##......##.##.#.#.#.##.##.#.###.##..#..###..#.###..#........#.####.##.########..#.###..##..#.####.#..........####.#....##.#.##.#.#.##########.##..#####.........###.........##.##....#.#.###.#.##.###.############.#.####.##...###.##..###...#.##.#.####.#####.#
#.##.##........##.###..###.#...#.#.#..###..#.##.####.##...#####.##.##.##...#.#.......#.#.##.#.#.#.####...#.##.#.##.##...####.#.#.####.##..##..#####.#..##.......##....##..##..##.##.#.#.#..##.##.##..##.#.####...#####...####.#....#.#.#.#......##.#..####..##..#.#.##..##..#..#.#....##.#.######.####.###.##..###.....#..#.####.#.###.###..####..###..##.#.##...##.#.####.#.#..##..###........##.##.##.##.###..####.##.##.###.##..#.#.#..#..####.#......##..#########.#.#.##..#.##........#.###..#....#...####..#.##..#.##.##.########.###...#####.##....#.##.##..##..#.#.#..##..#..#.##.#.#.####.##.##...#..#.#...####.#####....##.#####.#.#..##..#..##.##.##.#.#..#.#.##.##..#.#.#.#.#...#.#...#..##.####...##..##.#####.#.#......###..###.##.####.##..###.##..##....#.#.##.#....#.###.#####..#.#.#.#.##.#####.##.##..###.#.#.#.#################..##.###.#######..##..#.#.#......#.#..##..##.#..##.###..##.#.#..#.#..#.....###.#
#..#..#####.#.##..#.##..##.##.##.###.##...########......#.#.#....###...##.#######.#.##.########.#....##.##..#.#.....#.#..#.###.###.....##..##.#.....#.##..###.#....#.##..##..###..###.#.##..#.#...##.##.#....###.#..####..##..##.#.#.###.###.#.###...##.#..##..####.##.##..###.####.###..#..#####...#####...##..##.#.#.#.####....#.###...##....####...#######..#.##.#..###.#.#.####...#.##.##.##..##..#.#...##.##....##.#..#....##.#.#.##...##....#.#.#.####.#....##...#......######.#.#.#.#...#####.###.#..##..##.#..####..##......#########...##...#.###########.#..##.#.##..#.###.#.##.#.#...##.....#.####.#.#.#...##...##..##.......##.#.##.#..###.##..#.##.#.#.####..#.##.####.###.##.##.#.####.##..##..#.###.##...##..#.##.###...####.........#.###...#.#..######.#.#.#..#.#.#####...#.###.#.###........##..##....##...#.###.............##.###..#...###.....##.###.......#########....##..####...##.#######.#####...#.#.#.###
#.##.##.....#..##.#....##..##..#.#...#..###........#.##.#.#...#.##...###....#.#####..###........#.#.###..##.#.##.#.##.##....##.#...#.#..#.###.##.#.############.#.##..##.###...#####..#.###.#.###..######.#########......#########.#######...#.##..#.##.##.###.#....##.##.###..##...####.##...##..#.....#.#####..#.#.#####.####.##...#.#.###.#...##.#.....##..##.##.#.##...###..#.#.#.#.##.#..##.##########.......##..########.##..#.###..######.##.###.##.....######.##.##.#.....##.#.#######..##.......######..####.#..#.##..##.#..#....###.#.###.######..#.#..#.##..###.#####...#.#.##.#.#.#.##.#.###....#.###.#.#..#.#..##.##.###.#.##.###..##..##.##.##.##.#.#.#..#.##..#...##...#.#..####..##...#.###.##.#.#.##.#.##.####...##.#......##.###.##.#...#.#.##...##...#.####.#####.##..#.....#.#...##.#.#.#####..##.###..#.#..##.##.#.###.#.##....#.##.#.....#####..#.###.######...###..######....###.##.#.##.##....###.####...###
#..########.#.##..#.#.####..##.#####.##..##.####.#.#.#..#.###.#..###...##.#.#.......##...####.#.#.#...#.##..######.####..####..#.#.###.##.#...####.##........#..#.##.##..#...#####...##.#.###.###.####..........##..####......##...##......#.#..##.#.#.......#.#.#.##..##...##.##.#...##..##.####.##.##.#.....##.#.####.#...###..#.#######...###..#.#.#######..#.##.#.##.####..##...#.#..####.##.#.#........#.#.#.##.###.......##.##...##..##....##...###..##.#####...##.##.##.##.##.#.......#.####.#.##.###.######.#...##..##.#..#.##.##...#####..........##.#.##..##.##....##..#####..#.#####.#..#...#.####.##..#.######.######...#.#########.#..######.#######.###.######.##.##..###.##..##..####.##.##..####...##.###...#####.##.#.###.###...####.##.##.#.#..######.#.#.....##......##.#.#.####.##..#.#...#.##..#...##.#.#.########...######.#######.##.#.##.#.#.##.##.......#.###.######..##.###...##.#....##.#.##......#.#...#
#.###..##...#####.#.#...##.###.##.######..####...#.#.##.#.##..#.####.###..#.#####.#..###.####.#.####.##..##....##.....##....##.#.#.##...#####.#....#####.###.#.##.#...##.#.#.#.....#.####.##..#......#.#.###.#####.##....######..#.##.#.##.####..#####.#.#.#.#.###..##..##.#########.##..##..##.###..#####.####..#.#....###.#...##..#....###...#.##.#......##.##.##.####.###..####.##.####.....#...##.#####.#.#.#..#.#...#.#.#..#.##.#####.##.##.##.####..###.....##.##...#.##.#######.##.#.##..#.#.#..#.....#.##...##.####..###.##.##.##.#..#.#####.###.#......##.#######.#..##..#.###.#.....#######.##....#######.....##....#.#.#######.##..###.###.#.#...##.....##...##.###..###...#.#..####.##.#.##..##..##..###...####....##.##.#...#...#.#..##..#...#.#.#.###.###.###.#.#..#.##.#..#.###....#..#.##.#.###....##.#.##.#.#.......##.####.##...##...#..#.#.##...#.#.....#.#.#....##..##....###.##..#.##...####..####.##.#.###.#.#
#...##..###.###.#####.###..##..#.........##....#.#.#.##.#.###.#.#....##..####...#.####...#....#....#..##..##.#..##.#.###.#####.#####..#.##....#.#.##.....#.....##.##.##..#.#.#.#.#.#...##....###.#.#####...#...#.#######...#####.###..#.#..####.###..#.###.#.#.#...##..###......##.#..##..####......##.#.#....##.####.#.......#..##...#######.##.#####.#.#..#.##..#..##....##.##....#..####.#.###.########..###.#.#####.##.#.##.#.#...##....###..##....##.##..##.######.#.#.##.....##...#########...#.######......#.##....##.#...##.....#.##.#..###...####.##.#..####.#....##..##....##.#.#.#...##.....##.#..#.#....##.##..##...#..#.##....#.###........########.#....####.####..##.######..##.....#####.##.##..##...#..##..##.##.##.#.#.#####.##..##.##.##.###.##......##..###.#####.#.##.#...#######.####...#.#.##..####.#.#.#.#####..........#....###.####....#####.#.#.#.######..##....##.##...#.##.##.#....##..##..#..#...#.#.#
##.####..##...#.##.#....##.#####.####.##.##.####.###.######...######.###....###...##...#.####.#.#.##.#######.#.##..#.##...##.####....##.##.##.#.##############..####..####.###.#.#.#.#.##.##.##..#....##.#.#.#....#.#....#.....####..##.####.#......####...######.####...##.##.##....####....###.##......##.###...##..##.#.#.##.##..#...##.....#....##.#.#.##.##.##.##..#.###..###.###.#....#..##.##.......##...#..##...#..#.##.####.####.#####.###.#.##...##..####...###.#.##.########...###.#####.#......###.########.#.#####.##..#.########.##...#..###.#####..#.#.##.#.##.##..####..#.#.#.#.#..#.###..#.##...#.###########.###......##...#.#####.######.##...##.#........######....##..#####.####.##.##..##..##.##.####.####...#.#.#....##..##.##.#####..##.##.##.#..##.##..##....#.##.###....##.###.######.#.###..##..#.###...###.#.#.#.#.###.#######.###.#....##.#.#.#......##..#.##.##..#.#.#.##.#..##.#..#.####.#.##.###.#.#
#....###....###.#....#######.#####.#..#...###.....##..##....#.##.....#.##.#####.#.#..#.#.##...###.##.#.##....#.###.#.#..#....##...##..#.##..###.##.#.###..##...##....##......#.#.#.#.#.##.#...##.##.#..#.#.#.#.##.#.###.##.#####....#####......#.##...##.#...##.#..##..#..#.##.###.#.#.##.####...#..#.#########.########.###.##.##.##.########.#######.###.##.#..#...##.###.#.##.....#.####.##.##.##.###.#..#.###.########.###..#.....##..##......#.#.##.#..##....#.###...#.##.....##...###.#...###.#.#.#.###......#.######.##...##.#....##.##.##.#.##...#.....##......###.##.###....##.###.#.#.##.#.####.#..###.#....#.#.#.##..##.#.#####.#.....#######.....###.##.#.####.#......##.#..##.#.#........####..####..###....##...###.##.#.#.#.##..###..#...#.#.##...###..##..#####..##.###..#.####.#.....#...##.####...##.#####...#.#...#####.#.#...#..##.###...#.#.##.##.#.#.#.#######.##.##.#####.###..#.##..########.##.#..#.#####.#
#.####.##.#.##....##...#####...##....#########.#.####..##.#.#.####.#.#.....##...#.##.#.######...#..#....###.####.###.##.##.#.#..#..##.#.###.##..##.....##....#..#.#.##..#.####.#.#.###.##.###.##.##.#.##.#.#.#..###......#.##....#.######.####.####.#.#..##.##....###.###.###...####...##....##.##.##....#....#....###.....####.##.##....##......####..#....#.#.###.##..##.....##.#.##.#....##.#...#.#...#.####....##..#.#.######.##.##..####.##.##.#..#.##..##.#.....##.##..#.#.######.......#...###.#.#...##.#.###.#.#.##..#.####.##.####.....#.#..##.##.#.#####.##.##...##.#...#.##...##.######.#...####.##...##.#........#.##..#.....####.##.........#.#.##..##.#....#.#.#.##..###.##..#...##.###...###.##...#####.#.##.#..#######.#.#####...#.##.#...######.##..####....##.##..##..####....#######.#.......###.#...##...#.####.###.###########....#...###.#..#.#..#####.....##......#.....#..##.######....#.....##.#.##.....#.#
#.#.......######.#####..##...#....#####......###.##.##.##.#.#..###.####.####..#.#..#####......###.#######.....##.....##..###.##.##.#..#.#...##.#####.#....#.###.###.##.##....#.######...#.#...#..##.#..###.###.###..##.###..###.##...##...#....##.######..#..####.#.####....###.#....#####.###..#...#.##...#########...#.###....##..#.####..#.##....####.##.#.###...###.####.#.##.#.####.##..#.##.##.##.##.#.###.#####..........#..#####.##.#.##.#..#.######.#..##.#.##...#.##.#.....###.##.#.#.#..##.#####.#..#..........##....##..##.##.#.###.####..#.##.#..##.#.#######..###.#.######..#..##....#.#....###..#.##.#.##.##.##..##.##.##..#.#.##.#.#.#.###.#..##..###.####.#.#..##...#####.#.#.#....###...#..#.#....##.#.#..#.##.....#.#...##..#.#######.###.#.#.#####....##..###..####..##..##..####.#.###.###.#####.###..#.#..#.#..............##.##...#####.##.####....##.#######.##.###.#####.##...####.####.##.##..#####.#.##.#
#.######.####....#.#...##..#.####.#...######......#..#..###.#.##...#....#....####.##.....#.##...#...######.#.###.#.#..##.######.##.##.#####..###.#...##.#.#..##.#...##..##.#.###......######.###.##.#.######.....##.#..###.##...#..###..####.#....#######.#.##.........##.###...#.##.....#...##.###.###..#.........###.#..##.#.##..########.#..##.####....#.#..####..##.#....#.#..#..##..###.#..#.#####.##.#.........##.##.###.###..##.#.#....####.##...##.####.#..#####.##.#..#.##.##...########.##.....####.##.#.#.#.##.###.#####.##........#.###..####..#.###......##...####.#....##..##.##..#.##.#.##...#.##..#.##########.#####..###...#.#..#.#.#..##.##..##.##....##.#.#.####.###.######.##.###...###.##.##.######.##.#....#.#####.#######...#.#.#.......#...#####.####..##.####..##..####.........##...###.#############.#.#####.###########..###...#.###...#.###.##........######.###.#.####.#..##....##..#..##....##.#.##.#
###.###.....####...###..#############.#......#.##...##.####.#..#.#.######.##.##...##.#.#.#.##.###.#......#.#.##..#.#.##..#......##.##..##...####...#.#..#.#.######.##..##..#.####.#.#....#.####...#.#....##..##.######...#.#..####..######.#.##.#...#.#.#.#..#.##.#.#.##...##.#.#..##.#.##.####.#....#####.####.#.##...##.##.#..##........###.##.....##.########.##.###.#.#.#####.#.####..##.##.#..###...#.#.#.##.##.##.##...#...##....#.###.##....##.#.....##..##.....#..#.#.####...###...#.#..#.##.#.#....###..#.###.##..##.#......##.##.##.###.##....##.###...#.#.#####.##.#.#.#.##..###..##.#.##.#..#.###.#..##..#.......#.....##..##.#.###.##.#############..###.#.####.#...##........##..##...###.########......##.####.#.##.....#...##....#.....#.###.####.##........##.#..#.#..##..##....######.##..#####............##...####..#########.##.##..#....####...##..###.########.###.##.......#.#.####.#....##.#########.#.##.#
##......#####....#..###.###.##..##......#.##.#.#..#.##....#.##.########...##..###.##.#.#.#.##...#.##.###########.#.#.##.##.###.#####..#######....#.#.##.###...##.#.##.####.#...##.###.####.#....#.#.#.#.##..##..##.....###.##.##...##..#.....##.#.#.....#.#.#####.#.#.##.######.#.###.###.....####.#.....#....########.#..##.#.####.#.#.###...##.#.#.#.......###......#.#.#.#.....#..##..##..##.#.##...###.###.##.####..#..#.#.#####.#####.#..##.#..#.#####..##.#..###.####.#...##.#...#.#.....####..####.#...##.#...#.#..##..##.#.#.####...#......###.###...##.##.#..##......#.#.#..##...#.#####.##.##.#.##..#.####...##.##.####.###.###.#..##.##.............##..##.#....####.##..#.#.##.##.##..#.##.........###.#.#####.#..#..#.#.###.######.###.#.#####...#.######.#.#####.##.#...####.##.##......#####.###.#.####.##########....##............#.##.#####..########.##....##.#.#..#......####.##.#..##..#.#.###....##.#.#.#.##.#
#..##.#.##....##.####.###......##..#.##.####.###.##..#.#.##.#..##.....##########..######.#..##.####...........##.#.#.#########...####.##......#.##.#.#...##.###....#..##...#.###..#........#.#.##.#.#.###..####..###.#...#.#...#.#..##...###.##.#.#.#.###.#.##....######.....##.#.#....###.#.##....##.##.##.#####......##.##.#...##.###...###.##.#.#.##.#.#.##.#####.####.#.#.##.###.###..##..#.#.#..#..##.##..####.#..##.##.#....##...##....###.####...###.#####.###########.######.#.#.#.#.###..##....###.#######.##.#.##..###.#.#...###.##.##.#...#...#.####..###.####.#.###.#.#.####.##..#.#..##..#.#.##.##....##.#####.....#...#...###.##..###.######.##.##..###.#.#####.#########.##..#..##.#..#.#.########..#..##.....##.##.#...#####.#...##.#...#.###....#.#...#...##..#..###..##...#####.#.#####.###.#.#.####........##..##.#######.#.###.#.#......##........#..####....#.#.##.####....#.##.########.###.##.#......#.###..#
##.#..#..##.#.##..##...####.##..##.###..#.....##.##.##.#.##.######.##..#.##....##...##...#.###.##...##.##.##.##..#.#...##......#.#.....##.#.#.#.##.####.##...#######.##..#.#..########.#.#.#.#.##.#.#...#####...##...#.#.#####.#.######.##...##.#.###..##.#..##.#....##..#.######.##.#.#...#####.#.##..#.#....#.###.#.##...#.#####....##.##....###.#.##.###.....##....##..###.#..#.....##..##.###.##.##.##.##.##......##..##.#.#.####.####.#.#......##.##.#.#.##............#..##....#.###.#.....######.#######.#.######..####...#.#.###...##.##.#.#.#.###....####...##...#..####.#...##..##...##.##.##.####.##.#####.....##.#.###.###.###..##.##........##########.###.......##.#.#.#####.###.#..#.####......##..##.####.##..#.##.###.....#.#.#.#..#.#.....#.##...##.###.####.#####..#####..##...#.....#..#.........###.#.##.#..##........#########.##.##.############.##....##.........#.######..#.#.............###.##.###..##.##
#####.#.###.#..#######.#.##.###.....##.####.#.#..##.##.#.#######.#.###......##....######.#...#..##.##...#..#..#.##.#.#######.#.#.#####.##.###.#..####...###.##.###....#.##.##..####....###.#.#..#####.#.###.###.#..#.###..##...###......#..#..###.#######.#.##..#.#.###.##..#.#...##.###.#...#.#.#..#.#####.#....########.##.##.#..##..#..##.#...###.#....###.#.###.#..##...####.#.#.#.##.##....#.#..#...###..###.##.####.####.#.##...#....###.##.###..##.###.###.#.#.#.##.##.###.#.##..##.#.######.#.###...........#.###....###.#.####..#.#####.#####..##.######..#.##.#.##..#####.#..##.######..#..##....#.##..##...#.###..#.##....#...#########.#.#######.#.####.#########............########.###....#.#.####..#..#.#####.###....#.#####.###.##.###.#####..###..####....######...##.....#####.#.#.#.#.##.##.##.###...#..#.#.####.#.##.###......####.##.........#.#######.####.#.#.##....###.######.##.#.#.##########...##.##..##
##....#.#...#######.#.......#.###.#.##...##.####.##..###..##.....###...#.######.#.##.##..##.##.##..####.#.#####.##.#.##......#.#..##....####..####....#..##.#......##.#.##..##....##.#..######.##..##.#.......###.##..###..###..###.#####.###.##........#.#.##.##.#.##...####...#.##...#.#.###...##.###.#...##.#.....#.########...##..#####..#.#...####.#####.#..##.#.####.##....###.####.##.#.########.#####.#...#..#.......#.#..###.###.##...#....##....##......#.#.#..#..#.##..#..#.###.####.#.#...##..###.#.#.#....##.#.##.#.#....##.#...##......##..#......#.##.#..#####.....###.##.......#####.#..##.#..##..##.##...##.#####.#########..#....#.....#.#.#.#............#.#.##.#.######.##....#####.#########.##.##.........##.###.#.#.#.#####..##......#.####.##....#.##......#..##.#.##.###.#.#.#.#..#.##.##.########.#.#...##.###......#######....####.#.##...#..##.....######..##.#......##.#####.#.#.#.##.#.#####..#..##..#
#..##.#.#.#..##.......##.##.#.....#####.###..##..###...#.##..#.#..#..#.###......#.##....###..#..##....#.#.....##############.#.#.#####.###...###...#.##.#####.##.#.####.#..####.#.#..##......#####....##.#######...##...#.##...##...#.....##..##.##.##.####..#.##.#.##.#....#.#.###..#.###.###.#.##..##...#..###.#####..........#..##.....##.####.###.....#.#.##..#.#...##..#.#.###..##...##.#..##.##......#####.#######.#.#####.##...#....######.#####.#.##.##.#.#.#.#.##.######.#.####............#..##.#.#############.#.#....#.#.#####.######.##.###.##.########.##.##....#.#####..#.#.#####.##..#.#####.###.###.#..#.##....####.##....##...#.##.#.#.........##.#.#.#.##########........#####.#.....#..##.##...#.#####.#.#####...#..........###..#.#.#.##....######.##.####.##.##.##.#.##.#...#####...##.##.##...##.#.######.##....##.###.......##.#....#.#.##.#...###.#.#...#####..##########...##.###.#..........#.#.#####..##
##.#..#.#.##.######.#..#..###.###.##....#...####..##.#####..##.##.###########.#.###..#.##...##.##..##.###.#.#.#####.#.#.##...#.#.##......#.#...###.#.#..##.....#.#....###.##....#.#.####.###########.##........##.####.##.##.#..#.####.#.####.##.##..#...##.##..#.#..#.##.#####..###.#.##....#.#.##.###.#.##..##.....#.####.###.#.####.#####..#.#.##..##.##.#.##.##.#.#.##.##.#.##..#####..#.####.....#.##.....####......#.##.##..###.##.###........#.###..#.##.#.###.#..###.##...#...####.#.#.#.#####.......#.#.#......#.###.##.###....##...#.#...###.#######.#.#.########.###.#.#.#.####.......###.#.#.#####.....#.##.#.##.##.........##..##.####..#.##.#.#.###########..........#######.##.#########...##..###.####.#.#.#.....#.#.##.#########...##.#.#.#..#.##......####.#..##.##.##.#.##...#.....#.#.....#.##.#..........##.##.##.##..########.####.######..####.###..###.#..#.#####..........####...###.#.#.##.###.#.....##.##
#####.###.##.#......#.##.#######...##.###.#.#####.#.....########...###........#.#...##.#..#..#..##..#...#.#.#...##.........#.#.#.##.#.#######.####.###.##..#.#.###.##...#..#.#.##.####.#.####..##....#####.#.#..###.####..##.##.#.#....#.##...##..#.######...##.#.#.##.#...##...##...#.#..#.####..#.#.###..##..##.##.#.##...#...#..##......##...#####.#.....#.##..#####..#.#..#####.#.#...##.#....#.###.####.####.###.##.#.....##.##..#...##.#.#.##....##.##.#..#...###.###...##.##.#.#....#.###.....#.#.#.#.....#.######..##.##...#.##.#..#...###..##.##........#.##.#..#..##......#####..#######.###...#.#####.###.#..#..#..#.##.#.#.####.#...####.#..###.#......#.#..##.#######..#.#.#####.#..##.....#....##.....##.....#.#######.#...#########.###.#.###.##..#.####...##...###..###..#.##.#.#.#.#.###.##.########.###.########...#####........###.#......###....#.#.##.#...##.#.#.####.###.#.#....#.####..##########.##.#.##...#
#...###....####.###.######.......#.########..##...#.#.#...##.#####.....####.#.#.#.#######.#.###.#..##.#####.##.###.##.#.##.###.#.##.#.###.#...##....##..##.#.####...###.#.######...##.........###.##...##..####........##..####.#.##.#.#..###..#.##......#.#.##.#.#..#.##.##..#####.##.##.#....##.#...##..##..#####..##########.######.#.#.##.#.....####.#.######...##..#####.##......#.#..#.#.##.#..##...####........#..#.#.######..####.##.#.#.#..#.##...####.##.###......#..###..#.##.#.#.##..#.###.######.##......#######.###.##.##.#.##.######.......##.#.###....##...#####.#####.#..####.##..##..#.....###...#.##.#.##.#####.#.#....#.##.##....#.##...#.##.#.....##......######...#.#.#.#.######.##.#.####.#.######.##.......###.#.........###.#.#..####..####....#.####...##...##.#.##.#.#.###.##...###...##.#..##..##.#.####.....##.##.##..##...#.####.###.##....#.#.#.##.....#.##.########.#......#.##..##.##....#######.##
###.....#.##....##......#####.#.##.#........#########.###..#.#.#...##.##....#.#.#..#.#....#.######.##....##.#....###..###..##..#.#..###.....####.#.##..########...###...#.#.#....#.####.#.#.#...#####.####...##.##.#.#.##.##....#..###.####...##..##.###.#.#..###.#.####...##..##...##.##.#.#.##..#.#####..##.....##....##..........##.###.#..#.#.#...##.#......##.###.##..##..##.##.####.##.#..#.##.##.#...#####.#.####.###.#.#.###.#....#..#.###.#######..##..#..#.#.#.#.#######.#######.#.##.##..##...#########.##...####...##.##..#.####.....######.#..#.#.###.####..#.##..........##.........####.#.###...#.#.#.##.#..###.#.#####.#.##.#...######.##.#.#.##.###.#######.#.#.##...###.#......#.###.##.#...##.#...##....###.#.#..##.#.#.##.##.....####...##.##.###.#.#...##.#..##.##..#..###.#...###..#.....#....##..##.........##.############..#####........#..##.###.###.##.#.#.............#.#.#.##.#####..#..###.###.##.#..#
#...#.#.#..####..###.####.....####.##.#.#.#...##........##.#...########..##.#.#.##...####.#..#..##.##.##..####.#..###.##..##..##.########.###....#..##..##......#...#.#.#.#.####.#.#....#.#.#.###.....#..##.##..##.###..###..#.##.##....##..#.###.##..####.##..##.#..##..####.##..#.##.#..###..##.#..##...##..#.###..####..#.##.######..#####.#.#.#####..#.#.##..#.#......##..#####...##...#.#.##.##.#..##.##.##..#.#....##.......#####.#.##.#..##...##....####.##...#.#.#.......#....##...#.#..##.#######.#.#.##...#.#....##.##..##.##....#.#.#.....####.####........####.####.#.#######.#.#.#.###..###...##.##.###.##.##..........##.####.#.###......######.#....#.##.#.####.#....#####...######.#.###..#.####.##.#####.##...####..###.#.##.##.##.###.##.###.##.....###.###..####...##.#.##...#.#...##.##.#####.#.##.##..##.#.#.###...#..#.....##....##.#.#.#.######...###...#..#.#.#.#########.#####..#.###.#.##.###.........####
###.########....##...#..####.##.....###.###.#.##.###.#.##..###.#........###.#.#.##.###....##...##...#.##.##....##.#.#.###..##.#..#.....##.##..##.##.#..####.##.###.######.#.#.#..###.#.##.#####...###...##...##..#...##..###.#.##.#..#.##..##..##.###...##.###..#.##..#.##.....##.#.#..##.######..##.##.#..##.#.#.#.###.#.####....##...##..##.#.#....##.######..##.#.##.###..##.#...#..##.############.##......##.####.#.###.#.####.#...#.##.#.###.#######...######.#######.##.#####.##..#.#.##.##.............##.######.####..##.#####.#.####.#.#.#..#####.###.##.##..##.....###.......###.#.#.....##...#.##.##..##..#.##.#.##.#.####.##.#.#...##.#.#.....####.#.##.........###.##..##.#.###.#.##.#...##.#..#.######......###.##.##.#####..#..#..#......#...#..##.#.##.....##..##..#.#..#####.####.###...#.....#.#..#.###..#.######..###.##.##.######..#.#.#.#..###.########.##.####.#......#.#####..##.#.#.#.#.##.#...#.#.#.####.#
#....##......##..##.###.......##.#.##...##..#..###...###..##.#.####.###.#.#.#.#.##..##.##.##.#.##.#.#..#..###.###...###...##########.#....##.##..#..##.##.###..##......##.#.....##...#.##....##.###...#.#..#.##.#######.##...#..#.##.#.###..##.##..##.######.######..######.##.##.#.##.##......#.##..#..#.##..#...#.#......####.#..#.#....#####.#.##..#......#######.##...##.##...#.####.........##.#...##.##.##..#..###...#.#...##.#.#.#.#..#...#..#.#.#..#.#.......##.#.#.##....####..##.#.##..##.#####.###.###.##.#.#####..##......###...##.#####.##......####..##.##..#.#####.###.#.##..###.#.#.###.##.##..#.##..##..#.#..#.#....#....#.#.####.#.#.#.###....#.##.#####.#.###.#####..#.#..........#..####.......####.#.##.......#....###.#.###.###.#.##.####.##.#..##.##.##.####.#.##....####......##.##.########.#..#####...##.##.#.#.##.#####.#############...........##.#....##.##.#.#.#.#.#.#.#######.#.#......#########.#..#
###.##..##.#.#..##...##.#.#.#..###.##.#.###.##.#...#...##.#....#######..#.###.#######..#..#..#.####.##.#.###....##.##...#..##........####.##.#####.######.....##..##.###..##.##.#..###..#.##.##...##.##.##.#.##.......#.##.#.#.#######.#...##..##.##............####.....##..####.#.#...#.#.#.##..##.##.#.###.#.########.#.#....##.###.#.###.#..#####.#.##.###..#.#..##.#.#..#..#.#....###.#.##.###.##.##..##..#####.....#####.#....#.###.#.###.###.....##.#.#.#.#.#....#.###..####.##.##..#.#..##......#...###............#.####.##.##...#..#....##....####....##..#..##.#.##......#######..##.#####....#..#.##.##.###.##.##.#.##.#.#.####.#....#.###.#...##.###.##.....#####.#.#.####.#...##.##.#.##.##....#####....###.#..#.#.#.#.##...#.###.#..##.#..####.#..###.#####..##.#.##.###..##...###.#.#.##.##.......##.##.....#.#....##.#........#......##.#...##..#.#.###.#.##.##.#.##..#.###..........#.#.##.#...##.#...##.#.#....##
#....##.##.#.#.##..#..#.#.#.#.##...#..#..####..###.#.#########.......##....##.##.#....###.##.#..##...#.#...##.#..#.###.##.#######.#.###....#..##...##.....#.#..##..#..#####..##.#####..##.##..###.##.##.#..#..##.##.###.####.#...##.#..#.#.###.##.##.#.#.##.##.##..##.#.###.##....###.#.#.#.###..######.#.#...#..##....#.###.##.#...####...#.##...##..#.#......##.##..#.###.###.#.##.###...#.####.......##..##.#...#####....##.###.######.#..##.#.####.#########.#.#.####...##.####..#..##.####.#####.###.#####.#.#.##.#.#####.#...####.######.##..##.#....#.#.###.##.###.#.##.#.##..#..#.#.###..##...#.###.#.##.#....#..###..#.##.###....#.##.#.#..##.#.#.##..##.####.#..#.##.#..........######..###...##.#.....#.####...##.#.#.#.#..#.#.#.....##..#.#####.#.#####...##...##....##.###.##..#...###.#.##.##.##.#.###..#.#.#.#.#.##..#...####.###.##.#......#..####.#...###.##.#..#..##.#...#.#.#.#.####.#..#.#.##########....#.#####
#.#.##..#..#####..###.###.#.######.#.###...#######.#..#.##.###.#.###.#..#.##.....####.#...##.##..#.#.#.#.####.#.##.#.#.##.#.#########.###.###.#..#.####.#.#.#.##..###.#.....###.##....###..####...##.##.##.##..#..#...###.#..#.#.##...##.###.#.##.##.#.#..#.##....#####.##..#####.#...#.#.#...##...##...#.##.#######.#.....######.#...######....#.#..##.#.#.#.###.##.##.##...#######.##..#.#....####.#.##..###.#.#....##.##..#...###......##.##......#.##.#.#.#..###......#.##......##.##...##.....##...#.....###.#..###.......##.####....##...#####..#.########.#######..#.##.#####.#.##.####..#####.#..##.#######.#.#.###..##..#..##.####.##.####..#.#.#.##.##.....#.##........#.#.##.#..######.###########.#.##...##.#..###.###.#.########.#..#.##.............#.#####.##..##..#...#..##.#####...#.##.#####.#...#.##.#.#####..######...##......####.##.###....###.#...#..#.##.#.##..##.####.#.#...#....##.#.###.#.##.#.##....##.#
###..########.###...###...#.###....#..###.##.......##.#....#...###.....##.##.#.#....####.##..##.##.#.###.###..#.##...###..#........#.......##.#.####....#.#.#..#.##...#.#.#.##...####...##...####..#.#####.##.##.###.##.....##.###..#.######...####..###.######.#.....#..####.....###.######.##..###..#.#.##......##.###.#..##....#.#...##.##.#.####.##.#.#.#.....####...##.##...##..###.#.##.######.#..#.##.###.##.#....###.###.######.#.#..##.##.#####........##...###.##.##.##.#.##.##.#####.##.##.#.#.#.#.######...#.#.##.##..#..##.###..#.....##.#......###....##.##.#.#....##..........##.....#.#.##.......##.###.#.#########..#....####..##..####.#..#.##.##.##.#..##.###.###..#.##..##.##........##...###..#..###.##...##..###.#.#.#####.#.##.#.#.#.#.###.####.#...####..##.#.####.....####.#.#..#.#.#.#.#.######.....##..##.####..##.#.#....#.#######.#...###.###.##.##.#..##.##....#.###.#...##....#.#.#.........#######.#
#...##.........#..#.##..#####.#.##.#.##.#..###.###.#..##.#...#####.#.#.##.##.#.##.#.#.....#######..#..##...##.#..#.#...##.#.######...#.##.##..#.#.##.#.##.#.####.##.#.#.#.#.###.##....#.#..#..##..##.#.....##..#..##.##.#.########.####.##...#...##.##........#.###.#######...#.#.##...#.#.#..##.##..##.###..#.####..##..##..#.#.####.#.....#.#....#.#..#.#.##.##....##.##..#..#....##...#.##.#......#.##.....##########..##...#...#..######.#..##.....##.###.#..###.######.##..#.#.##.##....##..#.##.#.#######.##.##.##.#.##..##...##....#####.#.###.###.####.#.##....##.####.####.#.#.####..##.####.#####.##.#.#...##.#.#.......##.#.#.####..##..##.#..##.###...#..#.##.#....#####.##.###.....#.#.#.####..#...#.###.#...##.#.###............####..#.#.###.#...#.#......#....##.##.#.###..#.#...##.####.....#####....##..###..##....#.###..#.####.###.....#.#.##.##.....####..####.#...#.#.##.##..#.###..##.......##.#.##..#.#.#..#
###.##.#.#.#.#...##.###.#.......##.#.##...###....###.###.##.##.....###.##..###.########.#..###.#####.####.###.#######.###.#.##.....###.##.#####.#....#.#..#....###..#.#.###..##.#####.####.####..#######.#..##.#.##...###..##.......##.....#.#.#.##..##.#.#.#.#.##........##.####.#..#.....#.##...##.######.##....####..##..##.#.#....#.##.##.##.#.#.##.#.#.##.##.########.###.##.#..##.##.#####.###.###..##.##.##.##....##..#.#.###.####....#.##..##.##..#...#.##........#.##.####.#..###.###..##.#..#...##.##.#..#######.##.##..#..##.###.....#.##...##.#.......##.####...##..##..#.#....##..#...##..#.##..######.##......##.##.####.#....######.#..##.##...##.###.#.####.##.....#.##.#...#.#.#.#.#..####.##.##########..#.###.#.#####.#.##...#################.#.##.#.##.####..#####.##.#.##.##..##...#.####.#################.##.....##.#....#.###.#####.###...#.#.####.#########.#.###.#####.##...#.#####.#.##########.......##
#....##########.#####.######.##.#..#.##.#.##..#.##...##...#####.#.###...##.#.....#.##...##......##......#.##......##..#.#######.#########.....###.#.#####.#.#.###..##.#.#...##..#......#.#....##...###...##..#.#..#.####..####.#.#########.#.#.#.##.##..#.#.#.###..##.#.######....##.##.####.##.####..###....#.#####...##..##..#.#.#.##..####..#####.#..#.###..##........###...#..#.##...###.#.###.....##..###........#.####.#.#........##.###..#.##...##.###.###..#.##.#####.....####..##..###.####.##.#.........##.#.###.##.###.####...##.#.#.#####.##....#.#.###...##..#####.###.#.#.##..#.###.####....##....##..#..#.########....###.#.#####.....##...#.###..#.###..#####..##.#######.#.#####.####...##.##...#.####...##.###.......###.###.##.##.#.##.##....########..#....##.##.#...#.#..#..#######.#####..#.###.........##..###.#########.##...#.........#.#.###...........#.#..#.#.......#..##.##..##...#.....#....#.#.###..#
###.###.#.#.#...#.#...........####.#..#######.#..#.#.###.##.....###...#.##.##.####.#..###..#.##.##.#.####..#.##.#####.#.##.######.........##.##...#.##....#.#...##.########.#..####.##...######..#...##.####.#.######....##....###.........#.#.#..#####.#.#.#...#.##..#.....##.##.##.##....###...##..##...#.##..##...#..##..##.#.###.#..###.##..####.##.#...##.##.####.#.#...#.##.#####.##.........#.#####...##.#####.######.#.#.#.##.#.#..#...##..#.#.##.##....##.#.##..#.#####.##....###.##.....##..###.#########......#.#...##...###.#####.#.....#####.#.#.#...##.####...##...##.#.#.##.##.#.###..##.#.##.##..#.##.##........#.##.###.#.....####.####.##..###...######.#...##..#.##..###.....#..##..#.#####.#....#.##.##..#...#.#.#..##..#####..........#.##..#.#.....##.##.##.#....#...##.#.##...........#.##.#.#.######.####..##........#######.#.######.#######..##.#.##.#.#...####.#.#.###.##..##.#####.#.#.#...##.#.#..##.##
#...##........#...##########.###...##..##...#.####.#.#....###.####..#.#.#####...##...##...####...#.#..####.####...#.###.#...##....####.#.##..##.#.#####.#.#.#.###....##.....####.##.##.#....####.##.###.#.##.#....######.##.##.##..#######.###.##....##.#.#.##.######.#.#.#..#..####..##.#..##.###..####.##..##.###.##.####.##.####..##......##..#.######.#.##.##....###########.....##..##.##.#.#.#...##..########......##..#.#.#..#.#.##.###..##.###.##..##.#..###..##.......######.##....##.#.####.##.......##.#.##########.##.#.#....##...#.###...##..#######..#....#.###..####.###.##..#.....#.##..#.##..#.#####.##.##.#######....#.#.##.##.....#.#..####...###........#..##.#....##...######..####.....######.#.##.###.#.#.###.#.####...#.#.###.##.#....#.##.#####.####...#.#.#.##.#..###.###.##.#.#.#....#..........#..#.#.###.##.###.......#.#.....##...#.##..#####.########..##..#.#..##..##..####....###.##.#####.#.##...#
##.######.##.##.###.##.###.....###..##.#..#......######.###.####.####.#...##..#..###.####....##.##.##....#....#.###.###.##.######.#....#..##.####.#.....#.#.#..###.#..####.##........#.#.##...##.##.##..#.#..#.##.#.##...############.......##.##.#####.#.######.##...#.#######.##...##..#.###..###.##....#.##....#.##..#.###.....##..##.#.#..##.#.###.####.#...##.#....#.#...##.##.##..#####..###.#.#..##...#.#....##.###..######.######..#...###.##..##.##..#.##...####.####...#.#...###.#####...######.##.###.......##.#.##.##.#.###.#####.###...#..##.##...###.##.#.#...##.##....##..#.####.#....##.#..#.##..##....#.##.....###.#.####.##..#.#.#...##....##.#####.#.##.#####....#####.#..##.###...##.###....##....##...#.#.###...#...##.#.....###..#.######.#...........##.##.###.##.##.#####.#.#..#.###.##...#.#.#.##.##.#.....#..#...#.#.#######.#.#..#####.###.....#......##..####.####..##..##....##.#..####....#########.##
#####.##..#...#.##.........#.#.##..##..#####.#.#.###..####...#...###..#.###..###.##....###.#.##..#.###.####.#.#.##......#.....##..##.#.####....####.#.#.#.#.##..##.#####....#####.#.####.##.#.##.#..#####...##..#....#.#.#.#.###.#....#.#.###..##.....###.........#.#.#....##.#####.####.#...##.#.#.#####.#..##.###..##.#.....#.###..##..#.#.##..#......######.##..#.##...###.....#.##.##.....##...#.##.##.#.#...##.##...##..##......#..##.##.##.#..##..####.##..#.#...##....#####...###......##.###..#.#.##..##.###.#.......####.#.##.....##...##.##.##.....#...#.##.####.#######.#.##.##....####.#..####.#..##..##.###.##.#.#.#.#.#....#..##.#.#.#.#..##.###.....##.###......###.####...##......###.##...#.##.###.#..###.#.###...#.#########.#.##.#.############.#.#.#.#.##...###...#..##.#.##....##.#..##..##.###############.#.##.###.####...##.##.#.##..#.##.#.##.######.####..#####..#.#.#######.####..#.##..##.#.......#.#..#
#.#......##.###..#####.##.####..##..##.#.....#.#.#.##.#....#.###.....##.##..##...###.###.#.###..##.#.....##.#.#.#..####.#.#.#....###.#..##..##...##.#.#.#.#.#..##...##...#.##.....#..##...#.#..#.##..###..####.###.#.#.#.#.........#.####...##.##.#####...#.#.#########.####..###.....##.#.###....#.#.....#.##....#.#########.#..###..##.###..##...####...##.#..##.###..#.#...#.#.#..#..####.###.#.#######.#.#.#.##.#..#.###..##.#.#...##..#.....#.####.#.....##.#.##.##..#.#######.####.#.#.##......##....##......####.###.####..#..###.###..#.#..##..##.#.##.######..#.###...#.#.#..#.###.####.#######.#.#.###.##...#####.###...#####.##.#######.#.#.##....##.#.########.#.#.##.....###.##.###.########.##.#....#.#.####.#..####.#...#.....#.#....#...........####.###.#.##.####..#.##.##.#.###.#.#..#.####.#....#.#........##.#.##...########.....###.###.........#.....##..##..##.##..##.....##.......##.#....##..#.####.##.##.#
#...#.##..#...#####....##....#.###.##..#.###.#.###....###.##.....#.#..#..##..##.##....##....###..#####.##########.####....#.#.##.#...#.##..##..####.#.#.#.#.##.##.#.###.######.##.#.##..#.#.#.##..##...##.##.....##########.#.##.#.#..###.###..##....###.##.#......##...#####.#.#.#.#.##.#...##.#######.#.#.##.#.##...##.###..#.##...##...##.#####.#####.##....##...###.####.##.#.#####.#......###..#.###..#.######.##.#...##.##.#.#.#..##.###.#.#...##.###.#.##.#.##.###.#.......####.#.#.#.###.##.###.##.###.#.#..#.#...####.##.##...#..##.#####.##.#####.##.####.####.....###.####.#...#.........###....#...######.#.#.#..##.#.....####....#.##.#.#####.#..#.#........#.#.#.###.####...##.###....##.#...#.###.##.#....###.##.##.#.#...##.####.#####.##.#.#####.#..##..#.##.###..##.##.##.....#.####.####.#.##.#.....####.#.##.#.##.#....#..##.###...#...#.#.##.#.####.#..#.####.....##..###.#######.####..##.#####.#...##.....#.#
#.#.#.#..##.#####...#.##..#.####....######...######.#.#.#####.##.#.#.#####..#######.#..###.##.#####.##........##..##...##.###.#..##.##..##..##..##..#.#####.##..#####...#...##.##.#..##.#.#.###..####.##...##.##......##..###..###.##.#...##..##..##...#.##.#.#.#######....##.....#.#.##.##.######.#.##.###..###..###.##.....##.#..#.##.#.#.....##.....#.##.#.##..#.#.#..##..####..##.#####.#.###..##.....#####.#....#.#.#.##.#..#.######..###.#.#.#..####..#.#..#.##..#####.#.##..#.#.#####...#..####..##.#.#.####...#.#..#.#.######.###..#..##...##.#.#....###.#..##.##.#####...##..#.######.#.#.##...#.##.#...##.......#######.#.####.#.##....###.##....##.#.##.###.###.#.#.#....#####.##...##.#....###.#.#....#.##.#..##.##....#.###.##...##.##.##.########...#.####.###....##..#.#..##.##.#####...##.#.####.#.###...####..#.#.##.##.#...###...#.#####.########....###.##.#.#..###..#.####....###....#####...#.##.#.###..#######
#.#.#.##.##.##....#.#..#.##...#####.##..###.###..####.#.##.#..#..###.#.##..#####.##.####...#..##.......##########.####.#..###.##.#..#..##..##..####.###.....######.####.###....##.##.##.#.#..######....###.#...##.#.#####.....##....#####..#.####..#.######.#.#...#.#...#.#####.#.#.#..#..#..#.#........##..####.####.#..#.#.##.##.#.##.#.###.#######.#####.#..##.#...#.####.#....##...##...#...##..#.###.#.#.....#.##.#.#..###.##......##...#.#.#.#.###.##.#.##.#..##.....#.#..##...#.##.#..#.##....##..###.#...##.###.##.........##...#.###..###..#.#...##..##...##...........#.#..##..##############.#.#..###.##.##.######..##.#......#..#.#.##....####..#.#.#....#.##..#.#.##.#.....###..#.##.#.##...######.###.##.#.##..###.#.#.##...#.#.#......###.#.##.##.#####.....##.#####.####.##.##.##....#.........#.#..##.#...##.####..####.#####.##.#####.#####.#.####.#...###....##...##.###....##...##.###.#####...##.#...##.......#
#.#.#.##.##..####.#.##.###..###..######...###.##.#.#.....#.##.####......##...##.......##.#...##..#.#.#.........##..######.#....#.####.####..##..##...##.###..##.........#...#.###.#...###.##....##..#.######.#..###..##.##.##..###.#####..##..#.##.#......#.###.###.#.#.#....##.###.#.##.##.##...#.#.#.###.###.####...##.#.#######.####.#####..##.##......####.#..##.####.##.####..###.#..###.###..##.##..#...#.#.#.####.#.##....##.##.####.##.#.#.#.#......#.##.#####.#.###.#.###.#......##.#..#.#.##..##.....###..###.#..#.###.####.#.#...##.#...####.#..##....####.#####.##.##.#.####..#.....#.#.###.#.##...######.........#####.####.##.#####..##..##..##.#.#.#.########.#.#..#.#.#...##.#.##.#.#######.#....##..#######..##.#.#..##.####.#.#.######.............#.#.#.##..##...#....#..##..#.##.##.#.#.#.#####..#.#.#..#...##.##........#..#..................#.##.##########.###....####.##.####.........#.#..#######..#.#.#.#
#.#.#.########....####.##..#####.....####.###......###.#......##...##.###..#.##.###.#..###.#..####.####.###.####..##......#.#.##.#....#.#..##..###.#..######.#..####.####.#.#.#...##.####..#.##.##.##......#.##...##.....#####...###..#..####.#....#.#.#######......###.#.##..#..##.#.##..#.###.####.#.#..........##.#####...##.....##..##....###..#.#.##########.##..###....#....##.....##.....##.##..##.#.#####.#..#####..####.##..#..##..##.##########.#.#.##..##...#...#.#...#.###.##.##.##.#######..##.##.###.##.######..##....#.#.##.#######.##...#.###.#####.#.....###..##.#.#####...#.#.....#.#######.##......#.#####.#...#..######...######..####..#####.#.......####.##.#.###.#..###.##.#...###.#.##.#.##.######.####..#.#.##...#####.#........#.#.####.####.#.#.###..#.#.##.#.#.##..####..##.###.###.##..######.##.#.##..####.###...#######.#.#.##.##.######....#.####....###.##....##....#.#.##.#######..##.....##.#####
#.#.#....##....##.#....##.##...###.#....#.#.####.#..##.#.#.#.####.##....##.#.##..##.#.###..##...######....#....##.##.###.##.#.##.##.#...##..##.##..#.##......##.##...##...#.####.###....##.#.##..#.##.####.###..####.#.###..#########.##....#####.##.#.....#.##.#.#.##..#.##.###..#.#.##.##.#....##..####.#.#.#.###..##....#.###.#.####.#####.....####.#.##.#.##..###...#.##.##.###..#.#.######..#.#..##..#.#.....#.##.###.##.....#.##.####.##.##.##......#.#.###..##.###.#####.##...#.##.##.##..#.#.###.##.#....#.....#...#.##..#.####.##.....##...##.##.#...##......#.#.#########..##.#.###.##.####.....#.#####.#.#.#.....###.####....##..#...##...###...##.....#.#.#.#...##.##.#...#.#####...###.#........###.##....#.#...##.##.#..#.#.#.##..##.###.#####...##...##.#.#.#...##.#.#..#######.#..##.##...#.....###.#.#..#.##.#..#.####....###.......#####..#.##.##...#.##......########.##.#.####.###.###......##..#####.#.##.....#
#.#.###.###.#.###.#.##.#...#.########.#.....##...##....###.#..##...#.##.#..###..##..#.##..##..###......##.#.##.#..#########.######..##.####.##..##.#.#..###.##..####..##.##.###..##..#.########.####.....######..##..######..............#.###....##.##.##.#....#.#.##.##..#.##..####.##..#####.####.##...#.#####.####..#.##.#...#....###.....#.#....#...##....#.##...###.##.#....##.#.#......##.#.##..##.#.##.##.#......#..###.#.######....##.....#.####.#####...#####.....##...##.##..#.##..##......##.##.#.#.####.#...###..#.##.#.####..#.####.#.##..###.#.##.###.##.#...#.#.######..#.#.######.#..#.###.##.####.#.##.#####.....##.#..#.##.#..#.#...##.#####.#.#.#.#.###..#.##.##.##...##..#.##..#.##.#.####..##.##.....#.#..##.#.##.#....##.#...##.######.###.######.#.###..###.##.....##....##...##.###.#.##.......##########.##...##..#################.##....######.####........#.##.#.##...##....#.#.#.####...##..####.#.#.#
#.#.##....#.#.#.#.#.##.##.##..##..#.####.##....#.###.#..##.#.##..#.#######...##..#.##.###..##...##.###..#########.#............##..##...##..##.###.#.##.##..###.#.#..##..#....##..#.##........#.#.###.##......##..##.##..##.#.#######.##.###.####..#.##..####.#.###.#..#..##..#.##.##..#####.#...##..##.#.#.........###.#..#####.#.#.######.#.#.#.######....#.##.##.#..##.######.##..####.##.#######..##..#.##.#..#.#.####.###..#......###.##..#.######.....#####.#.#####.######.##..#.##.##.###.##.#..###..###..#####.#...#######.....###.#.##...###..###..#..#...#.####.#........####......#..##...#####........###.#....#.#.########.########.#.#.###....##..#.#####..###.#.##..#..#.#..##.#..##.#..#.#..##..##...##.#######.##.#.#####.######.###....#.####........###..###.###..##.#.##..#.####.##....#####..#.#.###.#.....##.##.#..##.......##...#....###..####....#...##.#.#########.#.########.#####.#....##.####..##..#####
#.#.###.###.###...#..###.....####....#.#.#..#.####.#.##.##.#..#.##.....##..###..####..#...##..#..###...###.##.##..#.###.#.#.#.####.#..###..##....##########..####.##..##.#.#.####.#.#..#.#.#.####......#.#.##..#.##...##....####......#.........##.#####...##.#.#...#.###..#######....##.......#..##..#.#.##.##.##.##...#.###.##.#.#.#..#...#.###.....##.#.##..####.##.##.#.#.....#.##....#......##..##..############....####..##.##.#..##.##.##...##...#.###..........##....##...#.##..#..#.##..#..#######...##.....###.#####.#.#.#.#..##.#####.##...##...###...#.#....#.#.####.###....#.##...####.##.#.#.#########..##.#.........#.##.......##.#.#...##.#.###.#...##..##...#.##.##.##.#.##..##.##.#.##.##..##..#.###..###..##.##.#..##.....#.#....##.#.....##.##.#####...##.....#.###.#..##.#.#.#..###.####.###.#.#...#.#.############.##.#.#.###..#...#.#######.##.######.#..#.........###.#..........###.#.####..#.#..####..#.##
#.#..##.##..##..#.########.####...##.....##.#.##.....##..####.###..#######...##.#.#..##.#..##.##.#...#.........##########.###.##...##..##.####.#..##.....#..##.......#####.###....####.#.#.#..##..#.##.#.###..##.#..#.#..#####...#.##.##.##.#.###..##....#.##.####.##...##....##...##..##.##.#.######.#.#.#..#####..###.####.....######.#.#.######.##.##.#..##.#.....###..#...#.#.#.#..#.###.#.#####..##.#.#.##.......#.##....##..####.##..##.#..#..###.#.#...#.#.#.####..#####.#.#.##.##.#########...##.###.##..###..##.........########....#.######..##.##.##.#####.#####...##...##.#.#..##.##.#.....#.#...#.#.#.####..#.#.#####....##.#.#.##..#.#.###..#.#...#.##########.#..#.##..######.###.##.#.########..##..###.....#####..#.###.#.#...##.#.#####.#.#####......#.#..##.##.####..#.###.#.#...##..........#####.###.#.......##......#.#.#.##..###.#####.#.#...#.#....###.###.#.##########.#.#.##.###.#.#....##...##.#.###....#
######...##..##.#.#..#........##.##..##.############.##.###.....##......###.##..#...##..#.###..###.###.##.#.#.####.##.##....#..##.##..##..##.###.####.##...#######.#..##.....##.#.##...#.####..####..#.#..##.###.#.##.#.####...#.####.##..###.####.##.#.##.##..#.###..#.##.##..#.#..#.##...###...##...#.#.##.....#.###...#.###.#.##.##....#......#.#####.#.###.##.#.#####.#.#.#.#.#.#.##.##..#.#.....##..#......#.#.#.#.#..##..##...######..#.##.#.##...###.#.#.#.#....##.....###.#..#.##...##.##...#......#.###...#.##..#.###.#..#.#..##.##....##....##..##....#.#.#..#.#######.#.####.#.##...#.#.#.#...#.###.#....##..##.#.....#.#############.#.#...##.#####.###.#.##.##..##.#####...##.###....#.#......##..######.#.##.###..#.##.##..#.##.#####.....#.#.##..###.#######..###.....#.##.##..#.#.#.##.#.#.#.#####..........#.#.#######.#.#####....######.#.#.#.#.###.#.########.#.#.....#...######.##.#.#.##########.###.#.#.#.#.##
#......#.#..##..####...#.#.#.############.##..#.####..###.###.###..#.####...#######.##.##...##...###...####.#.##.........#.##.###..##..##.#.......##...##.##..##...##.####.###..#..##.##...##.###...#####..#...###.##.#.#..##.##.###...##..##...#######..#..##.#.#...##.##.#####.#.##.###.####.####.#.#.###..###.####..#...##..####....#.##.####.#.....#.#...#.#..#.....###.#.###.###.##.###.#.###.#.#..######.##.#.#.#.####..##..###..##..#####.#..###..##.#.#.#.##.#..#.##.###..##.#.##.####.#..#.#.###.####...#.###..##...#.##.....##..##.##..###.########.#.....##.........#.#..##..####.#...#.###.#.........#####.###.###.#.#............##.#.##.###..##............##.##.....##.#......##.#.###.#.##..##.##.##.....#.#.#.##.#...##.#..#.##.#..##.####....##....#..##..##...#.###.##..##.###.###..#.#.#####.##.##.###.####....##...#..#..##.###.#.#..#...#..................#.#.###...#..##....#.......#.###.#.####....#.#.#..#
#.##.#.###.##..###.###.###.#.#...............##.#....##.........##.###..###..##.....##.##.####.#######.#.####..#.##.#.#.##.##...##..##.#..##.#.#.###.########....#..#.#......##.##.#..#..###....###...##..##.###...#######....##.#...#.########..##.###.#####....#.#.#..##.....###..#.#.####......###.#.####..##..#.##.##.######..####.#.##....#.##.#.####.###.####.#.#...######..#...##..##.#.#...####.##.....##.#.#########..##.....####..##...#.##...#####.###.#..#.##..#...#.########.##.....####...#....#.#.######..#.###.###.#.####..#..##...###.####...#.#.#####.########.#.####.#....##.##.#####.###.#.#...#.###.....#.####.#.##.######..###....##..##.#.#.#.##.###.##.#.######.##.###..#.##..####.##......###.#.#......#.##.##..##.####...###....######..#.##.####..###.#...#.#..##..##..#...##.#........#.#..###....#.#######.##...###...#...##...###.###.##.##.#.###.####..###.#####..#.###.##.#.........##.###.##.####.#
#.#..#.##...##.#.......#...###.#.#.#.##.##.#......##..#####.#.#.#....##..##.####.##.#..#..#..#.#.#..........##.#.######..#.##.#####..####.##.###...#.#.#.#.#..##.##.####.##.##..#..#.###...###.##...#####..#...###.#.#.#.##.#..#####.#........##....#.#.....##.#.###.#.##..#######.####......##.#####.###.#..####.#.#######..####.#....#.##.#.##.##.#..##..#####....#####....##..###.###.##..#.#.#.#.....###.#.####..##.......###.##.##.###.##.#.#.##.#.##....##..##.#.#####.#.###.#.......##.##..##..#.#.######.....##.######...###.#.##.###.##.###........#.#.#.....#.......##.###....##.#..#......###...#.#.#.#.....##.#.##..#.###.##...##########.#..##.#..###.######....######.#...##...##.#####....#.####.##..##.###.#.#.####..###.##..##..#...#.##...#######.....######.###.######..##..##.##.######.###.######...#.####.....##..##.###...###.###..#.......#.##..#.#..##.#..##...#....##.##..##..#.#.#######....###......##.#
######.#..#..#########.###..##.#.###.#..#..#.####..#.##.....#.#.##.#..##..#..##...#.##.##...##.#...###.#.#######..###...####..##.#..###.#..###...###.#.......##...###.....###..###.#.#.##.###...###.##....##.#####.#........##.##....#.##.##.####.###...#.#.##.#.##..#.###..#.##.###########.##.....#.#.....##........##.###.#.##.###.##.##.#..#.##.######...####.#....###########.#.##..#..####.####.#.####.###.##.##..##.#.##....#.....##..###.###..######.####.##.#.....#.#...#.###.#.#.##.#..####.#.#....##..##.###......#.#...#....#...#.##.#.##.#.#.#.#.#.#.##.###.#.####..##..##..####.#.####...#.#########.#.#..#.#..##.....###..#......##....#.######.#......###.#.###.#...##.##..####....###.#.#.#.....#.##..##..#.#.#.###.#....##..#.##.########.......##.##..#.#.#........##..##..##..##..##.....##...##...#.#....#####..##.##..####.........###.#.#.#####.##.#.###...####.##.#.##..##.##..####....####.#.##...#######.#
###....##.#.##...........##..#################.##.##..###.#.#.###..#.####...##..#.#..#####.######.##...#...#.######...#....####....##.....##...#..##########.####.###.#.#.###.##.###....###...#####..##.#.##.....#############..###.##.##..#...##..###.#########..##.###.##.......#.#.#......##.##.##.#.##.###.##.#.#.##.#.#.#.#.......#..###.##.##..##.##.#....#.##.#...##.##.#......#.###.##...##...#.##...#.......#####.#..###.##.#.###..##....###.###.....##..#..#.#.###.#.#....####.#.##.#.#####.###.##..##.##.##..#.#.######.###.###.####.....#.#.###.#.###..#.##..#....##.#..##..##....#...##.######.#.#..#.###.##.#.####.#.########.##.######.#.##..##.##.#.###.###.......########....#.####.#.###.#.#.###..######.###.....#####.##..##.##..#########.#.######..##.#.##.#.#.#####..#.####..#.##..#.#.##.#####.##.##.#.....##.##..##..##..#.#######.###.###.#.######...###.##.#.####.##.##...##..##..##....###.##.#...##..###
#...##.##.#######.#.##.#####..##.........##.#.....###.#...###..###.#...##.#..##.#.#.##........##...###.#.#........#####.#####...##.####.#####.##.##.#........#.#....#####...###......##...###..##...##..#.##.##.####...........##....####.####..##..##.#.......#.##..##.....##.##.#.#.#####.##..##..###.#....#.##.#####..........##.#.##.###...#.#..##..#..#.######..#.#.......#.#.#.##.##...#.#..###.#..##.####.#.#.###.#.##...#..######..####.#..##...###.#.###.##.#.#..##.###.##...####..###.#.##..#####..######.##.####......#...#..##.#..##.#.####.#...###...##..#####.#..#.##.##.####.#.#.###.....#.#.....##..#####.###....#.....##.#######.....#....######.#.......##.##.#....##..##.###...##.....###.#...##.....##.##..#.###..#..###.##..##..#.##...#.#......##......##.#.#...##..####.##.##.##.##.#.##.#...#..#.##.#.#.######..##..####.#..........##...#.#...#.###.##....#.###.##.##..##.####.##.######...#..###.#..#.####
###.##.##..#.##...#.##....###..#########.#....###...####.####.##.###.###..#.#######..###.#.##..#.#.#...#.#.#.#.########.....##.##...##...##.#.#.....#.###.##.#.#.#.##.....####..####..#.#...##..##.###.##.##.#####.########.#.######..##.....##.##.##....#######.#..######.###.##......##...#..##..##...#.####.##...##..#.##.#.#.##.#.##.##..#####.####...##..##.##.##.#.#.#.#.###.####.###.#####.##..##.##.##...#.#.#.....##.#.##......##..##..#.##..#.##..###...##.#.##.#....#.######....##.....###....###.##.#...##.#.##.#.#.###.###.##.#.##############...##.########.####.#.#..####.#..#.#...##.##.....#.#..#.##...#.###.##.#.#####...#.##.##.#.##.##.#.#....#.#.#.####..#.#.##....##...###.##..#.####..#.###..#.#.#...##.#...##.#.##....#.####......###.###.######.###.##.#.#.###..##........####.####..#...###.##..#.#.#.....##.####.##...#.#.#.#######.#.....#.....#####.#........#.###.####.#..#..#.######.##..##.##....#.#
#...####..##.#..######.####...####.##......####...#...##.##......##....####..#.#.#..##...#..########.#.###.#.#...##.....#.#.#..####.####.##...#.#.#.#####.####...#.######.##.####....##.#.#.##.#####....#.##...#.#.##.......#.##.....##..##.##..##..##.#.......####.##.#.....#.###.##.########.###..##.##...##.##.#####.#.##.#####..#.######.##.####..##.####....####..#.#.#.#.##...##....#.##.....##.##..######.#.#.##.##.##.#..####.#..##..##.#.#####.###..###.##..#######.###.#.######.###.#.#...##.#..####..#.#.#.....#######.###....#...##.....#.#.....#.##.............######..##....####.#.##.######.######..#.#####.###..#..#....#......##.#.##.##...##.#.#.#.###.#..##.#..##.#..###..##..##.#....##.#...##.#.#.#.#.##.#.#.##.#..##.#.###.###.#.#...#...###..##..##...#.#.#..##.######.#.#.##...#....##.#...#..##.###.##########....##.#.#.#.#.......#.##.######.#..##.#.#.#.##.#####......#.#####........########.###.#...#
###.#....##....##.......##..#.#.......###.##....#.##.##..#..#.##.#..#.#####.##.....####.###.....##...#.##..###.#.##.###.#####.##.##....#..##.##.#.#.##....#.##.#####.#.##.....##..#.###.#.#.##....##.##.#..#.#.#......#.##.##.#..###..##.##.##.##..##..##.#######...##...##.##.#....#.##..##....##.##..#..#..###....##..#.##.#..#..##.#..............##..#.#..####..##.###.#.#####.####.#.#..##.#.#######.#....#.###.##.#...#.##....#.#.##..##..#....##.#...##.#..##...#.##....#......##....#.#.#.#######...#..####.##.#.###.#.##.########.#....#.###...#.#.#..#.##.#.#.#.##....#.##.##.##...##.#..#.....##..#.####....#.#...##.###...##.#.####..#.#.#..###.##..#.#.#.###...##..#.######.####..#.##..#.####..##.###.#####.########.#....##..#..##.#.#.############..####.##.#.#.####..###.#.##.#.####.#.##.#..####.##.##...##.........###.#..###.###.#.#.##.##.##......#.#####...#.#.##....###.##.##.......#.##.#........#.#...#.#.#
#...#.##.###.#..##.#.#.####.######.######.#..####..#..##.#.##.#####.####.....#.#.#.#....#.#.##.##..#.#.###...###..#.##....##..#.....#.##.##..#..#.#..######.......##......##.##..##...#.#.#.##.#.##..#..#.##.#.###########..########.###.##..#..#.##..###.......##########...####.#.#....####.#..#..##.##.##..###.#.#..##.##.##...#######.###.######..##...##.###..###.##..###.......##.#.##..#.####.#....####....#####.##.######.###.#.##.##..##.#.##..#.#....####..#....#.##.#.#.##.####.######.#...##..#...#####.##.#............#.################.##.#.##.#.##.########.##....#.##..##.##..#.#####.####.....###.#...#.#..#...#.#..#.#....##.######..##.###.###.#...##.######.....####.###.#.#..##....##.##.#.#..#.##...#.#....###.######.###.........##.#.#.#.##.####..#.#....##..#.....###....######.##...##..##########.##.#####.#.##.##....#.#.#..####.##.#.##.#.....#.#.#.#..##.#..##.####..##.#.####..####.##.##.###.#.#.#
#.#.#.#...##.##.##.###..##..#......#......#.##....##.##..####....##.##...#.#######.##.#...#.##.###.#.#...#.#..##.##.#..####..#####.##.##.##.###.#.#########.#.#.#..###.#.##..#..####.##.#.#.#..#..##.#.##.##.####...#..#...##..........###..###.#.##.##...#.#.#.##.#.......#####..#.#.##...####.######.##..##..##.#.##.##..#.####.#..##....##......#.###.####.....##.#.###..##.#.##.##..###..##.###....##.#....##.....#.#....##.....##########..#.#####.#.##.###....##.##.####.#.#.##..##..##.......#..##.###..##....###.##.#.#######....##.#..#.#..####..#.#..#.##........#..##.#.#..##.#...##.###.#....#.#.#.###.###.#...########.##############......##....#..##.##.##....##...#.###......###.#.##..#.###.#....##....#.#.#.##.#.#.....#.####.##.##.#.#................##.###.##..##...##.##...####......##.#.##.###.#####...##....#..###..#..##.#.#.##....###..######.#.#.###.#.##.####.##.....##.#..#....#.##########..#...#.###
#.#.#####..#.##.######.##..##.####.#####.#######.##..###.#....##.##.##.#.#.##.##...#..#.###.##.#...#.##.##.#.##..#####....##.#......#..###..#.######.#......###.#.##...#.######.#..#.#..#.####.#.###.#.##.##.##.###.##...#..###.##.#.####..##...#.##..###.#######....###.#..#..##.#.#.##.###.........#.##.####..#.#.##.###.###.##...####.#.#..#.######.#..##..###.#..#..##.#####.##..##..##.###.#.############.##.###.#####.##..##.###.##......##.##.####.#....##.#.##..#....#.#.#..##..##..##.#.#.###..########..#.##...##.#..#.#.#..####..#.##.#.##..####.#.##..#.##.########..#.#.#######.##.....##.#...#.#......######........#....##.####.########.###.#.##.#####.##.##.####.#.....##.#.#########.#...#.##.#..##.#####...#######.##.....##....##.#.#.##.##.#.########..##...#.###.#..####.#....##.##.#####..#.#.#.....#.#.###.###.#####.##.##.###.##.##########...#.#.#####.#.#...#######.#.##..##.###.##..........##.###.#...#
###.###...##.#..#.#.....#.###.#....#.....#....#...##..##.##.###..##.##.#.#.#..###.#####.###.##.#.#.#.##.##.#..##..##...#.###.#####.######..##..........#.##.#...########...###....####.#####...#...###.########........#.#.##...#..#..##..###.#.#..####........##.#.##...##...###.###.##.######.#.#.##.##..##..##.#.##.#...##.....#..##..#.##.#..##.##.##..##...#...#####......###..##..###...###.#.#..........##..##.#.....#..###.#.#..##.#.#.##.......#.##.#.##.#.###.###.##.###.####..##.##.#.#...##.......#####.####..#.#.##.#...###.##.........#.###...#.##.##..#......######.#.#.#####..##.##..###.#.#.#.#.#.##...##.####.#.##.#............####...##.#..#...##..##.##..##..##.#########...###...#######..#.###..#..#.#..##......##.##..##.#.##.#.#.##..#.#...#....##.##.###...#.#.##....##.#..###......####.....#######...#......#.####..##...###....##.###...########..######.##.###...#..##.#....#.#..#.#.#.#####.##..#.#.#
#...#...#..####...##.##.#...#.##.####.#######...#####..####.##..###.##.#.#.##.......##....#..#.#.#.#.#..##.#.##..##..#.#...#.#.......##.############.#.#.##.#.#.....####.###.##.###.##...##..#.###.#.....##.#.#######.##.#.###.##.###.###.#.#####.##....##.##########..#.#..#...###...#..#.##...#.#.##.##.####.####.##.#.#..####.###############.....#.###..##.######.####.########..##...#####.....########.#..##..#######.##.##......##..#.#.#..#.#.#.#.##.#.####.#.....######...#.###.##.#..#.#.###..#.#.###......##..##.#......###.#....##.#.##...#.###.#.#...##.#.##.#....###.#...#.#...###..#.##...#####.#.#.#..#.##....#.#.##.##.#.##.######..###..#.#.##.#.##.##...##..##.#..##.#.#.##.###.###.......##.#...##...##.#.####.#.###...##.#..#..#.#.####.##.###...##..#.##..##.#####.#####.##.#.###..#.##.##...#.#.....####.##.#.####.#.##.##..#...##.#........#..#.###.##....##.......#########.##.#.###.##.###.....#..##.#.###
###.#.#.##..##..#..####.###.#######...##......#....##.##....###.#.#.#..#.#.###.##.#####.#.######.#.####.##.#.#..####.#.#.#######.#.#....####..##########.##.#.##.####....##.....##...#.#####.#...#####.###.............#.#.#...#...##..##......##..##.#.##.###.#.#....##.#.##.#.########....#.#.#.#.##.##...##...##.#..#.#####.......#.##.#.#....###....###.#......##....#.......##.####.##...###.#.##.##....##.#..##.......##.#..#.##..####.###.##.#.###.#..#....####.#.####.####....##..#.##.#.#...##.#.#######.#.##..######.#####.#.#.#####.#..###...##..#.#.#.##.#..#.####...#.##.##...#.##..##..###.##.#..###...##..##.###.#..#..#.#######.....##...####.##.#.##..#.#.##.##..##............##.#.#####.#..###.#####.##..#..##..#.#...#.##.##.#.##.#....#..#...###..#.##..##..#..#.#..#......#.#.#...##.##..##.####.#####..######.........#..#.##.####.#.##.#.####....#.....####..#.#.#..#......####.###...##...#############...#
#...###.###.##.##.##......####.#....#.#..##.#.###.##...#.##.#.....###.##.###.###.....##.#.....##.#.##....###.##....#.#.#....##...#.#.#.##..#.##...........#.#.##.##.###.##..#.#....#.#.###.###.####.#....####.#.##.#.#.#####.#.#.###..##..#.##.#..##..#.##...#.#.##.#.#..#..#.###.##...#.##.#.#.#.#..#..##.##..#..#.#.####...##.##.#.#..#.....##...##.#..##.##.#.#....#.##.#.#####..##.###..#..####.......##.#..#.##..##.#.##..##.#..#.##.##.#...##.#..####.##.##..#.###.........#.####..#####.####.##..#.....#########....##...##.#.#.#.....#.#.##...#..##.#.###.#..##.#.#####.##.##..##.##.##.####.#......##..##.#..#.##....############.###..##.##..#.#..#.##.#####.#.#..###..##..#.#.#.#.##..#.#.....#.####......##..####.####.###.#.#..#.#..#.##.#.##.#####.##...#####.##..###...##.##.#.#.#.#.##.###.##.##....##.......###.##..#.#.#.#.##.#.##....#.###..#..#.####...#.#....##.###.#.##.##.#..##...##.####.#.........##.##.#.#
#.####..#...##.#...##.##.##..#.###.#####.##.#...#..##.#####.#.#.#.##..##..##.....##.##..###.#..#.#.#..####....#.#.##.#.#.#.###.#.#.###.###......#.##.###.######..##.....##.##.##.#######.#.###.#......####....#..###.#..#.##.###...##.###.#..#.##..##.#.#..#.....##.#.#.##.##..##.##.#...##.#.#.#.#.###..###..##.##.#..#####.....#.####...##.##..######.##...#.#.##.###..#.####..##..#.##..###.#.#..#.#.#.##.#.######.#..#..##.##.#.##.....###.#.##.##..###.##..#.##.....###.#.#.#...###...##....##..#.##.#.#....#....##.#.####..........#.###.#####.#####..#...#.##..#.#.....####.#..##..##.#.....#####.##..##..#.#######.##..#.##.##.....#.#.######.##...#####...##..###.#####..#.##.#.###..##.....#####.##.##.#.#..##....#..##..##..#.#######.#.##.#.##...#.######...#.#####...#####..##.###.#####..#.####.##.#.####.####......#.##.###.###..#.#..##.#...##.##......#######.#####...###.....#.#.#####.##.##...#.##.#######....#.#
#.##...###.###.#####...#####.#..####.....##.#.#.#####..##...#.#.#.##.####.#####.##..###...###.##.#.##.####.#.##.#.##.#.###...#.#.#.##....##.#.#.#.#..#.....#.##.#####.#..###..##...##.#......####.#.#..##..##.##.##..##.#.....##.####...###.##.#..#####.##.#.#.######.#.#...##....####.#.####.###.#...##.###.##...#.#.##.....##.#####.##.##...##.....##..#.#.###.#....#.##......####....####.......####.#..###.....##.##.#.########.##.#.#..##.#.######...#..##.#..###.#...#.#.#.#.#..##.#####.####.##..###.#.##...#.##..###....#.####.###..##....##..##.##.##.##.#..##.##.##....#.##..##.#..##.#.##.....#######.#.......#####.........#####......#.#..##.##...#.#.###..####.....##.##.#...#.####.#.######.#.....#.##.##.#######..####.#..##.##..#.##.#####.##.##.##..#.#.##.#######.##.##..###.##.###......####.#...##.#....#.#.##.##...#####.##.##..###.#..#.##.##.#....#.##..##...#..##.#.###.#..##....######.####.....##..#.##.#
#.##.###.###.######..####......##.#..###..#.#.#...##..####.##.#.#.#...#.#.#.....#####...#...#.####.#.....#.#..#.#.#..#.#...#####.#..##.#.#..###.####.##.##....####.#####.##..###.#......######....#.#.##..##..#..###.##.#.#.#.##..##..#..########..##...#..#.#..#####.####.###.##...##.#....#...#.#.#.####...###.##.#..##.#.##...###.....##.#.##.#####..##.#..##.##.#.###..#.#.##..#.####.########....#.##.###.#####...###...###.....#.####.##.#...##...#.##.#####.#...##.##.###.#.####.....##....#..######.#####.######..####.##...##...##..########.....#.##.##.##..###...###.##..#.###.#.##..#.####.#.....#.####.#.##....##.####.##.......##.###.####.....#.#.#...##..##..#.#..###..#.###.#.#..#..#...#.#.###.#.##.##..##.##..##.##.##.##....##.##.##.#####.....##.#........#......#####...#.##..#..##.#....####.##..#.##.#.#.##.####.....###..##.##...######..#######....#.##..#.##..###...####.###.#...##...##.##.#.####.#.#..#
#.#..##.............###.#.##.#..#.######.#######.######.....#.###.##.##.#.###.#..####.#.##.####....##.######.##.#.##.#.###....##.##..###.##.##..##...##.##.####......#.#..##.#.#.#.#.##..#####.##.#.#.#######.##..##.#..#.###.###.###.#.##.#.###..###.#.##.#.##..##...#......#..#.###..##.#.#.#.###.#..##..#.#....###.##..#.#..#...#####..###.#......#.##..#.###.##.#...#.##.#..##....##...........#.#######.....#######...###...##.##..#.#.####.#####.#####.#..####.#..#.#....#.#....##.#.####.#.##..##........#.....##.##....######..#.###..###.#.##.####.##..####.######...#####.###...#.##.##..##..#.###......###.##.##.##....#..#.#.#.#.####......##.#.#######.##..####.#.##..##.##..##...##.##...###.###...####..##....###.##.....#.##.##.##.##......#...#.#..###.#.##.#...##.#..#..##.##.###...##..##.####...###.#.##.#.#.##...##.###...##.##.####......##...#.##..#.##..##.#.##.##...#....#.#...#.######....##.####...#.##.#
#.#####.#.###.#.#.#...#.###..##.............##...#......#.#.###...#.....#####.#.##....####....#.#.##.......#..###.##.#.#...#.###..##.#...#..#..####.##..##...###.#.#.....#####...#.#.###.....######.#..##.....#..##..####.#...#.###...####.#...####.###.##.#..#.###.#.#.#.#.###.######..#####.#...#.##.##.##.##.#.##...##.#######.##.....##...#.########..####.#..#.#####.####.#####.#########.#.#.#.#.#.####.##...#.##..#.###.#.##..#.##....##....##......#...##....#.##.#.#.##.##.####.#..##..#..#.##..#.#.#.#####.##..###.#......#.##...##.#.#...##..##..###..##...#.##..#....##..##.#.#.##.#..####.#...#.#.##...#.##.######.#.#.##.#######.#..##.#.#..###.#.#.#..#.##.####.#..##..##.###.####..##.########.#..#.##..##.#...#.##.##.#####.##.#..##.##.#...#.###.###..#..###.#..#.##...##...#...##.####.##....###...#.###..#.#..#.#.##...#.#..#..###..#.#.##.#..#....#.#####.##..#.####..###.##.###.#.#####....#.###....#######..#
#.###.###.###.#.#.#.#.....##.###.####.#.#.#..###.##.##.##.#...###.##.#.##.....#.#####..##..##.###.#..##.#######....#####.###.##..##..###.##.##..#.#.###..##.##...####.##....###.##.#..##.###..#####.#.##..###.#.####...##.###....##.#....#...#.##.......#..#.##.##..###.#.#.#........##....##.#####.#..##.#..#..#..##.##..##..#.#..###.#.#..#.#........##...##...##....##...##.#####.##.#......#.#.#.#......#..#.#....##.#...#.#..##.#.#..#.##..#.#####.#.###.######.###..#.#..#.##....###.##..##.######.#.#.#...######.##...#.#########.###......#########...#.##..#....##.######..##..#.#.##.#.##.####.#.#####..#.#.#......##.###.##....#.##.#.########.........##.#.......#.#.####.##.##...##..##......##...##....#.###.#####.####......#######..#.##.#.#.#...#.##..##.####.#.##..#.#.##.###.###..##...#..##.##..#.#...##.#.##.#.#.##.###.##.##..##.#######.##.#.##.###...#####.###.#####...##..##.#..##...#.##.##..####.##.##.##
###....####...#.##############...#....#.####.##...###..#..###.##..##.#.##.###.###.....###.###..##.##.#.......####.##......##..##.##.###..##.##.##....##.##...##.###.#.#..####...##.##..######..##...#.##.######.##...#.##.#...#.###.#.##.#.#########.##.##.#..#.##.##...###.#.##.###.###.#############..#.##.##.#.##...##..##.....####.######.##.###.#####.####.##..#.###.#..#..##......##.###.#.#.#.#.#.##...####.##..#####.#.#.##..###.##.##.##.....#.#.#.###........####.#.######.#.###..####.......###.###.#....#.###..#.#.....#.#.####..#.##......##...#.#..#.###.###...##..##..#.##.#.##.#.##......#....#######.##.#.#..#...#.#..##.........#.#..####.#.#.#.#..#.#.#.#####.#.#...#..##.####.#####.######.##.#.####.......###.###.###..##.....##.####.#.#.###.##.#####....#..#.##.#.#...##.####..##.###..#..#.##.##.##..#.##.#.#.##...###...##.#......#.#.#..####...#.##########...#########.##..#######.#.##.###.........##.##
######.#.###.#####.#.##.#.######.#.##.#..#.#.##.######.##..##.#..##..#.##.#...####.#.##.#.##..##..#..#.#.#####.#...###.##.##.##..#....##.#..#######.###.###.##..##....##....#.#.##..##......##..##.##..#.#.......##.##.##.##.##...###.#......##.##.####.#####.####.##.#..##.#.#....###.#.#..........##.#####.##.#.####..#.####.##.##.....##...##..##...#.###.#...##.#...####.#.####.#.#..###...###.###.#.##.#...##.######.##.###.###..##..#.##.##.#.#.#.#.#.##..###.#########.....##.#...##....#.##.####....##.##.#.....##.#.##.##......#.#######.#.######.#####.####..#####....###.##.##.#.#..#..###.##.#.####.##.#####.#.#.###.##.#.##..#.#.#.#.....##..#.###.####.###.####..#.#...###.##...##......#####.##.##.#...###.#.##..##.#...####.#..##.##.....###.#..##.##....###.#.######..#.##.###.#.##.##..##..#####.##.##..##.#.##.#.###..######.##....#.####.####.##.#####.....##.#.###.#.......#..##.....###.#.##..##.##.##.#..#..#
#............#.#...........#.#...#.####.##....###.#.#...##..#.#.##..##.##.###.#....#....#####..##.######...#.#.###.##..#...#..#####.###..##..##..#..##...##.#########.##.#.##.#.#..#####.##..#.###.##.##.#.#.#.###..##.####..##.###...##.#.###..##.###...##......#.#..##.##.####.#.###.....###.###.##...###..#..#.#.#..##...##.#..##.#.###..#..##.##.#.....#.##.##..#.#....#.#.##...#.#.##...#..##.#...#.##.#.####..##.......#####...##..##.##.##.#.#.#.#...##.##...##.....##.#.###..#.#.##.##.####..##..#.#####..#.######.#.#..##.##.#...#..##.#######.##.#.#.#....##.....#.##.#.###...###.##.##..##..#.#..##......##...###...#..###..##.#.######.##....##...#..##..##.......######...#.####..#.#.##.......##..#.#.#.#...#.##.##....#....#.##..#..##.##..##.##..#..#.##..##.#.....###.#.##.##.....#..##.###.#...#.#..##.###.#..###...##......#.###.###.......##......#....#####....##..#.##.#.########.#.#...#..#.#####..##.####.##
#.#.#.#.#.#.##...#.###.#.#.....#.#.#....##.#.##.......#####.#.#.##.##..######.####.####....##.##..###....#...#..########.#.##..##.....##.#######.##.###.##..#.........#..######.##...##..#####.##...#..###.#.#.###.#####....##....###.#..#...#.##......#..###.#######.#..##...##.#...##.##...#...#..##.##...###.#.#...##..#.#..##.#..#.######.##...#.#######.##..##.#.##.#.#.#..##.##.######.##..#.##.##.#..#.##...###.#.###.#.#######..#########.###.#.##.########....###.##.#..##.##.#..#..####...##..##...##..##......#.#.#.##..##.#####.##...#.#.....###.....#.##..#.#.###......#.####..####..####.#.##....#.##..###...###.#.########.#.##.#.#.##.#.###.###.####.#..#.##.###.....#.###....##.#..#.#.#######.###.#.#.#.####..#.#.###.######.#####..##.#######.##.###..##..#.#.#...#.####..##.##.##.####.....###.#.##..#.###.##...#####.#.#####.....#.#.#.#.####.##...##.......##.#..##..#####.#.##...#.#.#.#.##....##.##.....#..#
###.##########.###..##.#.##.#.##.#.##.#..#.#..##.##.#...#.#.###.#..##.##......##.....##.####..###.#...##.#.###.##....#####.###.####.######....##.##..##..##.#.##.##.####......#.##.#..##.....#..##.##.####.#.#.#...##....##..##.#..##.##.###...##.#.#.##.####.##.##.#.#.##..#..#.#.###...##.###.##.#######.###..####.####.##########.#.....##..##.##..........#.##..#..###.####.##..####.#....##.#.#..####.######.###..###........#####..##..#.....##.####..##..#...##.##..##.##.##..####.#####...#..##.###.####..###.#.##.#.#..##..#..##......###...#.######.#.##..##.###...##.#######..#.##.###....#.#..##.#########.############..##...#......#.##.###.#...####...#.##.##...###.#.######.#.####.####..####.....#.###.#..##..####.##..##........###.##.....##...#...##..####.#.#.#######..###.#..##.#....#.#######.###...###..#.#...##..#.....###.#####.#.#...##..#.#..####.#.######....###.#.....#####.#.#.#.##.#.########.###.##
######.##......####.#..#.##.#.##.#.#..##.####.##.##.##.##....##.##.##.####.#.#####.###.....#.##...##.##..#........#.##.......###.....##....##.......####.##.#.##..####...##.#.#.##.#.####.#.#####...###....#.#.###..##.#.###.#..#.########...########..#.##.........#.#..#####.########.##....#..#.#.........#.###...#..#######......#.#.#..##.##.##.#.#.##.#.#.##.#####....#.###..##......#.##..#.##.#....#.##...#.##.#...#.#.#.##...#.####...###..#....#.####.###.##..##..#..####.##........#####.###...#..####.#####.##.#.#.####.##....#.####...#######.##.#..#.##....#####.......##.####......#.##.##.#...#.#.###......#.##.#...####.###.########...#.###....###.#.##..##.###..#.#......#...########....###.###..##.#.####....#.##.#####.#.##.#....#.##.####.##.#.###...##.#.#..#.##.#.##...########.#.#.....##..#...#...#.####.#..#.###.#.###.....##.###.#####.#.##....######.##..##.......#.#..######.######.#....##.....##..#
#.###.....#.####.#..#.####..###..#.##..###....##.##.#..####.##...####.#....###.......##.####.##.#.#...##.##.#.#.###..###.#.###...##.#########.##.##.#######.#..##.###..#.##.#.#.#..#..##..#.##....#...##.#####.####.####..##.##.#..##......#.##.......##..###.#.#####.##.#........##.....##.#.##.###.#####.#####...#...####.#...#.#.##.##########..#.###..#.#.#.##.....##.#...##..####.#.#.#.#####..###.##...####....#.#.#.#.###....#.#..#.######..##.#.####........##.##..###....#..##.#.#.#.##......#.####..##.....##..#.#.#...##.##.####......####.#.....#.#.##..##.#...###.#.#.#.....##..#.#.##.##.##.#.#.........#.##........#.##...##.......#.##.##...#.#.##...#.###..###.####.#.#.#.##.###.#.#.#####..##...####..######.#.##.##.#.#...#..#.##.#.#..#...##.####.#...######.##......#..#.#...##.##..#.#.#.#..##.#.#.##.##....###.######.###...###..#..##...##..#..##.####.#...##.#######.#.#.##......#####....##.#..##.##..#.##
#.#.#.##.######..##########...##.#.##.##...##.##.#..##..##...##.##....###.#####.##.#.##....#..###.##.##..####.#####.##...#...#.#..#.##.#.###..#..##..##.#...#.#####.##.########.##.#.######.#####.###.#..##.#..#....#....######.#.#######.#####.###.#####.#...######...####.##.#.###.###.##.#..#..##.#.......##..#.#.###......#.#.#.#....###......##.##..######..##.#.######.###.##....#.###.#.....##....##.##....########.###...#.####.##........###.#.#.#######.#.##.###..##.#.##.#####.###..##.#.#.#....#.####.#.######.#.##.##..#....##.#.##........#.#####..#.##..#.#...###.#.##.#.####.#.#.##.#...#.####.##.##.#####.#.##.#.#..#.#.##.#.#.###.####..#.##########..###.###....#.#.#.#.#....#.........##.##.#....##....##..#.##.##...#.#.####.##.###.######....##.#.#.....##.#..#.####.####.#.#.....##.#.####..#####..#..#.####......##..#####..#####.##..#..##.#.##.......#.###......#.###.###..####.##....#.##..#.##..##.##..#
#.....#...###.##.###.#.#....#.##.###..##.#.#..####.####..##.##..#..#.##...##..####.#.##.#.##.##...#..###...##.....##########.###.####........###.##.##....#.#.#.##...#......##...#.#...##....##...###.##....#.###.####.#......#.###........##.#.#.....#######......###.##...##.#.#.####...#.#.##.######.#.#.####.#.#...####.#.#.#.#.#.##...######.######...#.###..#.#...##.....#..#.######...##.##.####.##...##.#...##.......###.#.#.##.#######.#.#.###......##...#.##...#.###.#.##.#.##...#####..#.#.##.#####..###.....######..###.##.#.##.####.#####.#####..##.####.##.#.#########..#..#####.#..####.##.##....#.##.....#.#.##.###.##.#..#.#.#.......##.##..#.#.#.###.##.......##.#.###.#.##.#...#.##.#.###..#.######..#.##..####...##.####.######....#..##....#####.####.##..####.#.####..##..#.##.##.####....#####.##.##.##....##.##.####.....##....##..#.##.###.###..#.#.#.......#.##.....#...##.#########.##..##.#..##..#.##.##
#.##.####.#............##.###.##.##..###.####..##...##..###..##.##.######..##....#.#.##.#.####..####.#...#..#.#.#..##.###.....##.##...##.#.###...##..###.####.#....#...#.#.####.####.###..##..###...#.#..#.##.#...#....#.#.####..####.##.#.##...#.#.#..##.....#.##..##..##.##..#......##.##.###...##....#.#..##..#.#.######.#########..#.#..###........#.#....#######.###..#.#.#.######.######..#...##...#.#.##.##.##..###.###...#....#..##.....#.....##.#.#..###.#.#..#.#...#.#.##....###....##.##.###....###.##...###......##...#..###.####.......####.#.#.##.....#.#..#.......##..###..##...#.####...#.##.#.####..#####.#..#..##..#.#.####.#.#####.....##...#.#.#.###..###.#.######...#.##.##.##..#####.#.##....##..######.#..##.##...##.....######.#.##..##..##.###....##.##....#....##..#.##.##..#.#....##..#.#..##..#.########.####..#.#######.#..#.#######...####.###.###.#.###..##.#.###.###....###..#.##.##..#.##..##.##.##
#.##.#....#.#.#.#.##.#.....##..#.#..##...##...####.##..##...##..#####.##..######...######....#.###...#.#.##.#.###.##......##.##..####.####.#...#..####.###########.#.#.###.####...##.##..##..##...#.###.##..#.#.#.##.#.#.#....##..#####..#.###.##.#.#.##..###.#..##.##.#######.##.#.#.##..#...##.##..####.##..##.######.....##...#....#####...###.####.#.##.###.#.###.#...##.#.#.#.#...........###.####.##.#.##.##..##.#....###.###.#.#.####.#.##.##.###.###.####.###.##.##.####..#.#.##...####..##...##.#......##.######.####..#.#####...####.#.#.##.#.......##.#.####.##.#.#.#..##..###..##.##....###.#.##.#..#############.#.######.#.#.####...#####.########.......##..##.#....##..#.#.##.##..##.......#.##.##..##...##.....###..##.####.##......#.#..##.###......##.#.##.#####.#.#.###.##.#...##.#.#.##..##.....##..##......##.....##......#.##.####.......###...#####....#.#..##.########....#.#.##...##.#...##.#..##..#.##..#
#..###.##.#.#######..#.#.#.###.####..###.####...##.##.####.####.#.#.#....####....#..##.###.#.###...#.#.#..###.##...##.##.#####..##.......#.###.##..##.....#.###....###..##..##..#..#..##.###..###.#..####..##.###.##.#.#.##.#######.....##..####..#.#..##.#...#.##...#.....#.#.#..#.#####.######..##.#....##.##.......###.#.##.#...##.#..##.#####...####.##.........#.#.#..#.#.###.###.##.#.#.##.#..##..##.#..###..#######.##.####..#.#.##...#.##.#....#..####......#.####.....##.#.######.#####..#.#.#..#.#.#####.....##....##.#..##...#...####.#......#.#.#..#.####...##.#.########..##.#####..#.##.#.#######...........#.###.#...##.#....##..#....##.#.#.##.#.####.##..###.#.######.#.#..#.#..####.#.##.###...##.##.#..##.#.##.##.##.##....##.#####.#.##..#...##.###..#.#......#.#.###.####.##.##..#.###..####.#.####..#.#.####..#.#..##.###...##....######.##...#..##...#.##.#.###.##...#.####.#.#....####.##.##..####..#####.##
##.##...######.#.#####.#.#...###....##....##..#.#...#.#..#.#....#.....##..##..#.###......#.#..##.#.#.###.####.##.#..####.....##.##.##.#.####...#..#######.#.#.#.#.###..##..##..##.#####..#...###..#.##....##..#....###.#.##.......##.##.###...###.#.##..#.###.#####.###.#.##.####.#..#.##......#.########..####.##.####...#.#..##.##....##..#.....#...######.#.##.#.#.###.########.##..##.#.#.##...####..####...##.##.#........#.##.###.####.#.##.##.######..##.#.#.#...###.##.##.#..#####....###.######.###..##.#.###..##.#..#.#.##..#.#.#...##.#############.#..#.##.#####..#.#.#...###..##...##.##.####......#.#########..##...#######.#.##.##.#####.............#######...#...##...#.##.####...##.####...##.##..####.##..#.....#.##.####.##......###..##.##.###...#.##.##.#.#.#.#..#.....#..#####.###...###.#.#.#.###.#.#..#.####.#.##....#.###..##......#..###.######.#####.#...#....###.#.#######.#....#.######....##.#.##...#
#...##.######..........#.##.##...#.######.###.####.##.##...##.#.##.##.##.####.###.#.#.##.#.#####.#.###......#..#.#.##....##.###.##..###..#####.##.##........#...###...####.#..##.....##.##.#...##.#.##.#.#######.#.#...###..#.#.######....#####...#.#######.....##...##.####..##..##....#.#.#.####....###.##.....#....##.##.########.#.#######.#.##.#......#.#..#.#.#.##....##........#######..###.#..##.##.#.#.##.##...#.##.###..###.....##.######..##.##..##..#.###.###.#..####.##..##...##.#....##..#.####....#...##..####.#.#..##.#.#.#.###..............#.##....#...###.##.#.###...##..##.##........#####.##...........##..#......##.#..###...##.####.##.#.#######.....###.#..###.#..#..##..#..#....#.####..##...#####.##.#.###..#..###..##.#.#..###.#..#....#####..###..#.######...######...##....###.##....#....##.#.##...#.#######.#.##...##.##.#########.......##.....###.####.#...#.......#.#####.##....##..####.....##.##
#.#######.#...###.#.#.##.####..#.#.#......#....##...#.#..#.##.#..###..#...##..#.....#.##.#..##...###...##.#.#.##.#..###.###.##..#####...##.....#..#####.#.#...#.##..#..##..#.####.#####.##.#.###..#.#..#.#####...#.###..###.###...##...#.####.##.##.....##..#.#..##.###..##..##..##..##.#.#.#....####.....##.#.#.#.#.##..##.#........#######...#.##.#.#.#.##.##.###.#.#..#.##..#.#.#.##.##.##.####...###....#.#.#...#####.##...#.####.##.##.....####.......##..##...#.....##....###..#####..#.##.#..##......#.##.#.#..##...##.#.#.#####.#.#...###.#.##.##########.#.##.###........##..#..#.##..###.##.####......##.###.#.#.####.#.###.##..#.##...#..#....####.#...#.#.####.##...####...#####..##.####.##.#..##..##..#..###..#..#...##.##.#...#####.##...####.##.#.....#.##...##....##..#.####...#..#######..##.##.##.#..###.###.##.#.....#.#.####.#####.#.###.####.#.#.###.#.#.#......#.##.##.##.####..#.#######.####...##.##.###..#
#..##.#.....#.##..#.#.#.....#.##.#.##.##.####.#####.####.###..#.#####.##.####.##.#.#####.##.##.#.#...#.##.#.#.#..######...#.##.##.....#..#######.##.....#.#.#.#..##.##..##.###.#....##..####.##..##.##.#..##...#.#####.##.....##.##..#.#.##......##.###.##.####.##....##....##..###.#####.#.###.######.#.#######.#.#..##.####.######....##...#.#.########.#########.###.##.#..####.#.##.......##...###...##.#.#######.....##.#......#.#..#..##.##.##.#.##.##..####.##.##.##..##..##.##.....####..##..##.#.###.##.###.###.#..#.#.#.##.##.####.##...#######.###.#.###.##..##.#.#.#.##..##.##..##..##.##....##.#.#.##...########.###...#..####..###.##...#####.###.#........###..#..#.###..###..###.####..#.##..##..##.##...##.#.##.####..###.#.....#####.####..#..#.#.###.##.#..##.###..##....###.#.##.####..##..##..#.####....##..#...###.#.#...##..###...........#.#.#.#.########.##.#####....########.#.....##...##..#.#...#...##.#
#.##....#.###.###.#.#.##.#.##.#..#.#..#####.......#.#.....###.#.#...#.##..#.#..###.#.##...#.#######.##.##.###.##..##....#.#.##.######.####.......#..#######.###.##...##..###.....##..##.#.....##.#...###.###.#.####.....##.####...##.###.###.#.#.##..##.##.##...#..#.###.#.####.#.......###...###......#..##.....####.#....####......#######.#.#....##.##.........#..##..#.##..###.######.######.#..####..###.##......#.#.##.#.##.#.####.##..#.#.....#.##..##.##...#...#..##..#.##...##.#.##..##.##.##..#...#.##...#.#...########.##.#....##..#.#...........#.#.#######..###.#######..#..#.##..##..###.#..#.#.#..#.#...........##.#.####..##.###.#..#........####.#.##.#...#.###.....##...##.#......##.#..#.##..##...##.#####.#.....##...###.#.#.....#....##.#.##.#..#######.##....##.#..##...#.#.#.......####.###.#...###.#####...#...###.##.####...##.#.#.#.####.#.#......#.#.#.##.....##.###.#...##...#######.##..#####.##.######
#..######.#....##.#.###..#..###.##.##.#.#.###.##.##.###.###...#####...#..##...##.....##.#.#.#.#.#...##.##...#.#..#####.##.#..###......#..##########.#........##..##.####...##.##..##..#.##.#.######.####...###.#..####.###....########.....#.#.#.#..###.##..##.##.##.##..####...##.#.##..##.#...##.#.#.##.##.#.#...##.##.###....##.#....#.######.##....###.##.###.#.##..####..##....##.#..#......####..##..##..##.###.#.####.#..###.##...##.##.#.##.##.###..#.##.#.##.#######.#..######.#..#.##...####.##.#.#####.##.#.#..##.#.##....##.#..##.###.#.###.#.#...#.....##..##...##..#.#.###.#..##.###.#...######.####.#.#####.#.#.#..#.##.#.###...###.##.#.#.##....###.####.#######.#.#.##.#..#.##.#.#..#.##.#..######.##......#.##.#.####.##...#####.###.##.#..#.#..##.....##...##.#..#.##.##########.#.###....###...##.##.....##..#.#.#..##..#######.###.#.###....#####.#.##.....#.##.##.##........###..#.....#.##########..##......#
######.#####.#############.####..####.#........#.####.....###...##..#.##..###..####.#####.#.....#.#..#.##.######..##...#####..####.#.###....#.......##.##.#.##..##.....##.##..##.###.#######.#......##...#.##..##......##..##...##.#...#.#.#.######...#.##.##...#..#####....###..###..#.#####.####.#####...#.#.#.######..#########.##.###...##....#.##...###...########.#.#..##..#.##..######.##....##....##..###.##..#.##...#.####..##.#####..#.##..#..###.######.##......##.##..##....##....##.##.....###..##.#.####.##.......##.###..#.#####...#...#####.#...#####..#####....##.....#.##..###...#.#....##.....###.....#######.##........###..##.##.#.#..#.####......#.#.##.#..###..#.#.##.#..#.####..#.##......#..##.#####.##.#....######.....#..##..#.#.####.###.#.###..#.##.#.##.#...##.#.#.####.#...####...#..#..##.######.#.#.#.##..###.##.###...#...##.#..##...#.##.#.#.###...#.##.##.###.....########.##.#####.##.####.####
##.#.#...##.....##..........#.##.##...##.#.##.##.#.#..##.##...#.#####.#..##...##........#.##.#.####.##.#.....#.#.###.#..##.##.#....#.#...##...###.#..#.#..#####.###.##.##.##.###...#.....##..##.#.#..#.###.###.#####.#.###.##.#.#..##.##.#.#.###....#.#..#..##.##.####...##...##.##..#####.....##..#.....#.###.#....###.##.##......##...#.#....#.##.##.#######...#.#..#.#.##.#..##..##.....#####.##.###.#..##.##..#..##.###.##.##.#.##......##.#..##.##.#...##.###..##.#.#..#.###..##.#..##.#.##.##.#.#...##..#.#....#####.##.###....##.####....#.#.#...#####.#.##.###..#.##.#.######.######.#...#.#.#.####..#.###...#.####...#######.##.######..#.#..#.##.#######.#.#####....##...#.####..####.#..###.##.#..#.#.###.##.....#######.#####..##.#####.##.##.#...##...#.#...##.###..#..###.#.........##..#.#...###.##.######...##...#####..##..........#.###.#######..##.##.##.#.#..##.#.#..#.#....#.#.#..##.##...##....#..##.#.......#
#....###.###.#########.#.##.#.##..##.#####.#..####...###.##.#.###.....#######..##.#.########.#.##....#.#.#.#.#.....####....##.###.##.###..###.##..##.#.#.##.....#...#######..#...###.#######.#..####.####...##.#.....#.#...##.#...##..##.#.#.#...##.#.##.#####.#.....##.#####.##..##...#.####.####.##.##.#...#.##.###...##....##.#..##.######.##..#..#.....#.###.....##....#.##..##..###.#.......####...##.##.###.##.#....#.#.....#.##.##.#.#####.##.####.#....#.#.##..########.#.######..#.#..########.#..##.#...##..#.#...#######.##.....##.#.###.###.....###.....#####..###.#.#........##.###.#.###...###.#...#.#.#......###....##.##......####.##.#..#..##..##.#...###.##.##.#.#######...##.##...####.#.##.#...#.#..#.#.......#..##.##.......##.##..###.###..#.###.#.##..###.#.######.#.#########.#.#.#..##..#...##...###..#..#.######.##.##.#.######.#.#.#.#####..#.#######.#..#.#.#####.#.######.....##.###.##...###.#.#.#.#.#
####............##.....####.#.##.##..##.#..##....#.#.##..####...#####...##.##.##..#......#.###.###.###.###.#.##.#.###...#.##..#...####...####.##.#####.#..##.#.##.#.....##..###.###...#..#.######....##...#.######.#.#.###..#.#.#####..###.#.#.#.##.#######.#..###.####.....#..####..#....###.#.#######..#.#####....#######.#.#..##.####.#.#..#..###.#.#.#.....#.#.#..##.#.#####.##.####.#.#.#.#....###.#..##...#.##.#.#.####.##.##..#.##.###.....##...##.#.##...#####......##......##...##.#.###..#.#..##..#.#.#.##.##...#.....##..##.#.#..###.#...####.#######.#.##.####.#####.###.#.#.##..##..#.##..#..##.#.#.#.#.#.######...####..##.#.#.#####.##.#.###....##..#.#......#.#..#...##..#.####.##.#....###..#.#.#.#.#.####.#.###.#.##..#..##.#####.##.####..###.#..##.#.#..##...#.##.##..#....###.#..#.#.#.###.##.####.#...##.##......#.#.###########...........##...##....###..##.#.#.#..##.#.##.#.##.#.###.#....#####.###.#.###.#
##.##.######.#.##..#.#.##......########.##..##.#.###.###.#.##.###.....###......##.#.#.####.#####...##...##.####.###.###.####.###.##.#######...####.....#.##..#..#.#.#.####.##...##..#...##........##.##.#.#.#.#.#..#.#####.##.#...##..######.###.#..........##.##...##..#.###.##....###.###.........####.#...##..#.##.......#.##.#.........##.#.###..#.#.##.#.##.######..#.##..###..##.#######.#.####...##.#..#.#.##.#.###.#..#...#.##.##...##.#.##..#..#.#.#..#....##.##.#####.##.#####..###...##.....##..##.#.#..#..###.##.#.######..####.##..#.#...##..#.#.######.............##..#######..####..##.####..#.###.#.#.#.#.##.###..#####.###.....####.#...#.########.###.#.##.#.##.#####......#.#..##.###...##.###.#.#.#..#.#...###.###...##....#.#.##....#.##...##..######..#.#.###.....##.##.....##.###.#.#...#####...#.####.###.#.#...#..##.....##..##.#.#.######.##..#.##.##..###.#...##..#.......#.#.......######...#####...###
#.....###....#.#####.#..##.#.#..#.#.#......##..#..##..####......###.#.#####.#.##..###....#...#####..##.###..##...##........#.##..#......#.#.#....##.##.#.###.##.###.#..##...#.#..##.#.########.##..#.#..#.#.#.....#####....##.#.###..##......##..###.######.##.##.#..##.#.###..###.##.#######.#.#####....#.####.##..##.#.##.#######.###.#######...#.##.#.####.##.##.#.##.#..##..#####.....#....#....##.######.#.###..#.....##.#.#.#.######.###.#.###.##.#.#.##.#.#.###..#..##...#########...#.#######.####..###.#.#######..#.#......##..##..###.#.##.####...#.#.#....######.#.#.####....##.####.#..##...#########..#.#..........##.#.#.#..##.#.####.#####.#..#.##....############....#.###.#######..#...##.##....###.#...##.##.##...#.##.####.#...#..###.##..##.####..#.#.####.#...###.#..#..#.#####...##.#.#.#...#.##.##....#.#.#.####.###....##.##..##..#.#####..#..######...####...##.###.###.#.#.####.##.##........###.#####.###
#.#.#.#.##.#.###.....##.####.####.#...##.#..##.##.#..##.##.##.#.##..###.....#..##.###.##...#...###.##....#.##..#.#..##.#.#.#######.##.#.....##.#.#######.#.#.##.#...#.####.#####.####.....####.###.###.##.#.###.#.##....##..###...#######.#.####.#.......##.##.##.##.#..#...####.......##.#...#..##.##.#.#.##.###..#####.##.#.........#.....##..#.###..#...##..#......##.##..##.......#.#...#.###.####.#.#....#...##.##.#.##..#.#.#.....##.#...#..##.#########.###...#####..###.....##....#.#.##.........##...###....##...##.#.##.###..####..##.#.##..##..#.......################.#.##.....##....##..#....###....#####.##.######......##..#.#.......#.##.##....##.#.......#.#.###.#.#........##.#.###.#######.#...#.#.#..#.##.##.#...##..##..##.###.##..###.##.#..##......#.#####..##.#.###.#....##.####.###.###...##..#.#.####.....##...#.#####..######.#.....##.####.#.###.###.###..#.##....#.#.#....#.##..##.#######......##...#
###.#.#....###...#.#..#.#......##.###..###.##...#.#.##......#.#.#..#####.##.#.##..#...###.##.#...###..##.#..##.#.####..#.#..##.##..##.####.##..#.#.#.......#..####.####.##..##.....##.#.###.....##..##.##.###...#..##.#.#..####.#####.#####..##..#.#.#.#.#..##..#..#.##.#.#....###.###....#.#.#.##.....###....##..###.....########.####.#####..##...##.##.###.##.##.########.###.#.##.#.#.###...#..#.#.#...#.##.#..####.####.##.#.#.##.##..#.#.#.##......##.....##.#....##.##...##.###.#.##.#####.##.#.#..###.#...##..##.##..###....#.##.###..#.#..##.##.##.#.#.#.........##.#.##....##.#####..#.####.##.#...##.#.#.#...##........#.#.###.####.##.##...#######.######.##.###.....#.#####.#.##....#.#........##.#.###.#.#.##.##..#.##.##..####.#....#######....#.#.##..#.##.#.##.######.#...#.##.###.....#.#...########.##.###....#.#.##.#.#.....####..##..#.#.#......##.#.#.#.#.....#.##.##.#.##.#.#.#.######..#.........#.####..#.#
##..#.##.#...##.##.#.########.##......##....##.####.##.#.#.#######.##..####.#.##.####...#.##.#.#...##.##.#.##..#####..##.##.#.....########.##.####...#.##.##.##....#.#.....##..#.#.#..#...###.###..######...###.#.###.#.##....#.......#.##..##..######.####..##.#.##.######.#.####.#####.#########.##.##...#########..#.#.##.#.......##.....#.####.###..#.#.#..#..#...#.####..######..#.#####.#.#.##...###.#.##.#.##.......#.#..###..###..####.#.##.#.#.#####.#.##.##.#..#..##.###.#.###.##...#.#.#..######...##.#######.###.####.#.#.#....##.####..#..#.#..#.###.#.#.###..#...##.##..#.....##.#..##..##.###..###.#.##.####.##.##.#.###....##...#..#.#...#...#...##....#.....#######.....#.##.#.#####.##.##.##.#...#####..#.##.##.#..###..##..##.####....###.##....##.###........####..##.####...####.###.###........###....####.#####..#####.#......##..##.#.#.#.#####.#.#.#.#.#####..#.##.####.###.#....#.#.###.##.#####....####.#
#..########.##..#..###.#.##.#.#####.#.####.##.....#.##.#.#..##.#.####.##....####.#....###..#.###.###...#.#.###..##...############.#.##......#..####.####...#..##.#...#.#.#.##.##.#.##.#.###...######....#.#####.###...#.#..#.##.###.#.#....####.#.##....##..###.######.#....#.##.......#...#.#.....##..#.#.....##....####.##.###.#.#..#.#####..##....##.#...#.##.##.#....##..##.#.###.###.....#.#..###.##..###..#..##.#.####.##.#...#######.#..#.#..#####.#...#.#######.#####..#...#..##.##.#.#.####....#####.##....##.....#....#.#.###.####....##.###.####.#.#####.#...##...#######.###.#######.##..##....##.##....##...##..######...##.#..##.#######.#...#.########.######..#.#..###.#.#..#.#....##.##..#..#.#.#...###.####...####..##.####.##....#.####.###..#.##..####.#.#.#....##..#...##.#...##..##.#...#.##.#...##.#...##.....##.....#.#.#.####..##..#.#.#..#........#.#.....##.#.##....#..##.##.###.....#.##....###.###.##.#
##.##........##.#.##......#....##...#.#....##.##.####..###.##............##....######.######...#...##.####...##.##.#.####.##.#......####.####.##.....###.#.#.##..#.#####.#.##..#.#.#..#...#.#.#......##....##...##..#.####.#.##...#.###.##..##.....####..#.##.....#.##.###.#######.##.##.#...###.#..##.#.##.#.######.#....#......#.##.#....###.##.##.#..##.##..###..#.#.####.#..........###.#.#.#.##...##.##...##.#####....####.###.##..##....##.##.......##.##.......###...#.##.#.##....##.#...##...##....######.#.####.####.###.#........#.#.##...##..##..#.....###.####.###.#...#..##......##.###..#.#.##...##.#.##.#..##......########.###.#..#..#.#.#.#......##..#.#..##.....##...#.#.##.###.##...#.##.##.###.###.###..#.#..##..###.#######.##..........##.#..##....#.#####.#.####.##.###.###.#..###.###.###..###..#.#.#..##.#.####.#.####.#....####..##.#.##...#.####.....#.#..###.###.#.#.###..#...##.#.##.#####...#......#.#
######.#.##.##..#..##.#.#...##..###.#.#.#.##..##....##.##...#.#.##.#.##.####.#.#..........##.###.#.##.#....#.##..###..##.......#.#.##......##..##.##.#...###..##.#...##..#..##.#.#.##.##.##.#.##.##.##..##.#..#######.##...#.##.#.###...##.##..##.###...##.####.###.#........##.....###..#.#.#...#.##..#.#..#..##....#.##.#.##.#.#..###.##..##..#..###.##..########.#.#...##.##.#.##.#.##...###.#.#..#..#.#..#..#.##....#.###.#..##..#.#####.##..##.###.###..#..#.#.####..############.####.##.#####..######.#..#####.....#.#########.##.#####..##.###.####.#.#.####..##.#####.#.####..##.#.#.##.#.##.#.#..##.##..#.##.####..#.#.####....#.#.#...##.########.#.##..##.....##..#.#..###.#.#..#...###..#.####.##..##..#....#.##.#.####.##...##......#.#.##.#.###..##.##.####.##.##.#...##.#....#...#.##...#.#.....##..#####.#.##.#..#..#.#.#....#.#.##....##.##.#..##.##....#.#.######..####.#####...##.#.######.#......##.##.#.#.####
##.....#.#..###.#.#######.#.##.##...###.#.##.####.###..#..#.###.##.#.#...##..#.##.#.#.#.#..#...#.#.#..#.##.#..######.##..#.###.###.##.##.#.##.##########...#.##..##.####.##.##.#####..####..######..###.##.##....##...#..#.#..###...##.##..###..#.##..#..#..##...##...##.#.#######.#####.#.#.##.##..##.#.#.##.######.###########.######..######.#.##....##..##....###.#.###...#####..#.#..#.##..######.##.##.#.##..####.#.##..#.####......##..####....#.##..###.#.####.#.##.##.##......##...#....####..........##...###.#...........####.##.###.#..##....##.#.####.##..........#.#.######.######.#....#.#########.#..#....#.##.#..#...##.#...#.#.......##.####..######.#.######.#.##.########.####..##..##...##..##...##....#.###.....###..##.##.##.#..#.#...##.##.##...##.....#.#.###..##.###.#.#.##.#######.#####...###.###..#.##.##.####.#####..####..#.#..#.##..##.##.#.#....#.##..##.....##.####.#......#####.##.##..#.#.#..###
#..##.##.##.#...#.#..#....#.##.##.#.##..#.####......##.##.#.#####..###.#.##.##.##.#.#.#.########.####.#.#..##.#.......##.#.##..#########.#..#.##.#.#.....###.##.##..#....##.#......##..##..##......##.#.#...##.#.#..#.##.#.####...###...##...##.#.###.#.###.##.#.#..#.##.#....##......######.##..##.##.#.#..###.#....#........##....#.#.#####.###.####.###.###.##...#.#...##.##..#..##.##.#..##.##.....####..#..#.#####.#..##.....###.##########...#.##..##.##..#.##.#..........##.#.#.#..###.####....############.###..##.#.#.#######.#......#.##..##.#.##.#.......##.#.#.#.#......####.......#.##.#.#......##...#.##.#.##.#..##...####.#.#.#.#.#.#.#.......#.#####...#.....##.#.........##.....##..##..###..##..##.####.#.#..###.#.##...#####...#.#.####.#..####..##.##..#.#.###...##.#..##########...##......#.#.#...#####.##..#....##.......##.#########.########...###.#.##....##....#.#.##....###.#.#####.#..##.##.#######...#
#.##..##.#..##.##.##...##.####..#.#.#..##..#####.#.###.##.#.#..##.###..#..######..#.###.......##....###.##..####.##.#..#.#####.#..##.#...#.##.#......#.#...#.#..##.###.#.##.##.##.####..##..##.##.##....###.##.###.##.#..#.####.#..###.####.##..###...#..##.##.#.##########.#####.#.#...#.#...##.##.#..#.#.##.....##.####.###....##.#...........###....##..#.#.###.####.####..##.##.####..#####..##.##..##..##.#####....#.##..#.###.#.##.#...##..#.#..##.##..##.#......##########..#.#.##.#...##...##..........##....##.##.#.####......#.###.####..###.#######.###.##..#.#.#.##.#####..#.#.##.##.##.#.#.#.#.####.##..#.#.#####.##.####.#.#.#.#####.#.#.##.####.....#.#.#####..#.#.#.#.#.#..##.#.##..##..##...##..##.....#.#.##..##.#..#.#...###.#.###....#######...##...##.###..######..##......##....#..####.###.#########...##.###.#.####.#####......#.##...##...##.#..##.#..##.#.##.#.####.##.##..##.#.......##.##.##.......##.##
#####..#.##.#...####.#.##..##..####.#.####....####...#.####.##....##..##.##......##.##..#.#######.####...##....#.#..#.######.####......#.#.##.#####.##.##.#####..#..##.#.##.##.#######.##..######..##.#.#...#...##..######....####...###....###.##..#.#.###.##.####.............#####.#...##.#####..##.#.#..##.############...##..####.#.#####.#######..##.......###.##.#....##......#######....##..#..####..#..##...#.##..##.#.#..........#####.#.##.##.##.##..#.######.##...#.######..###.#..##.##..#.##.#.#....##.##..###.##.##.#####...#..##..##.....##.....######.#######......#.####..#.#..####.###.####....##.###...##..#.......#.#.#....##.#.#..#..#######.###....##.##.#.#.#.#.#.##..####.####.##.#..#.####.#.####..##..#.######.#...###.##..#####..#.#.#..##.###...##....#.######.###..###.##.##............###.###.##..##.###.##.######.#.#....#.#....###..##..###.###.#.##.#..##...#.#..###.##.#.#####.##.##.#.##.##...#
##....##.####.###....###..####..###.#...###.#..##..#.###.#...##.#..##..#..######.##.#..##......#####...###..####.##.#..##.........#.####.####.###...#..#....##..##.##..###..#......##...##.#.##...##..#######.#.##.###.....##...##.#..####.##.#..##.#.#.#.###.....##.##.#.#.##.###.##.##.##.....######.###.##..#...###......#..##.##...#.....#.....##..####.#.##.###..#.###.#######.##.#.....##..#.###..#.##.#.#####.#..#.###.####.#.#.#.#..#.#..#.#..##.##..####.####......###..##.##.###..##.##..##.######.#.##..###..####.......#####.########..#.#.#######.##.#.#####...##.##.#....#########....#.##.....###.##...##.####.###.#.#.######.#.###.####.#.##.###.######.###..####.#.#####.###....###.....###.##..##..#..###.###.##.....####.#..##..##.......##.###.##....##.##..####.#.#.#....##.##...#..###.##.#.##.##.#..##.##.#####..........##.#.##.###.###.#####.###..##.##..###..##..##.##.#.##....#.#.....#..#.##.###########
#..##..#..##..#...#######...###.#...##.##...######.#..##.##.#####.####.#.###.....#####..##.#.###.#.###.####...####..##..###.##.##.#.#.......###...#.##.##.#..##.##..##...#####.###.##.###..#....#..##.##......#.#..#.#####..##.##..####.......####..#.#.....##.#.###.##.#.#.##......#..#..##.####.#......#..##.#.#.....###.##.##...###.#.##.#####.###.##....#..###.#.######..##.....##.##.##.#..##.#...##....#.##....#.##...#####..#.#.###.##.##.#.##..#.##.##.........####.#...##.....#...##..##.###.##.#...#..##...##.##...#.#.###...####.##..##.#.#....##..............###...####.#.#.###.#...#.######.#.##.#..###..#..##...##.#.#...#.######.....##.#........###.#######...##.#.....#..##.##########.#######.###.##...#.##...#.#.#.#....#.###.###.##.##....#######.#..#..##..........###.###..#.#.######.##.####......##..##.#####.#.#.##.#..#.#..#####.#...#..##..##.##...#####..####.##..#.#..###.####.#.#.######.....##.....#
######.#.##..####.##......#..##.###.#..##.#....##..####........##.##.#.#.#...#.#..##.#.##..#.........###.#..#....##.##.###..##.##.#.#.##.##..##.#.####.##.#.###..#.##..###.#.#...#.####...##.##.##..#####.#.#.#.##.#.......##...##....#.##.#.######.#.###.####.#.#.###..#.#.##.#.##.#.##.##.......###.##.#.########.#.##...#..####.##..#.##.....###....###.###..##.....#..##..###.#.#.....#..##..#.#.#..###.##.##.#.##..#.#.#.....##.#..####...#.#.#####..#.####.###.#...##...#..#.#.####.##..###.##.....#.#.##..#.#..###..###.#.....#.........##..#.#.##.#..##.###.#.##.########....#...#...##.##.....####....#.##...##.##..#.##.###.###......##.##.####.####.#...........###..#.#.##.##.##.......##.#.......##..##.###.##..##.######.#.####...#.##..##.##.##......##.#.##.##..#.####.#####...######.##.....#.....###.#.###.##...##...#.#.##.#.##.##.....#.#.#...##..##...#.#####.#####.#..#.####.####..###.#.#########.#.##..#.#.#
#....#.#######.##.#..#.##.##..#.#...#.#####.######.##...##.##.##..##...###.#.#.#.##.....#####.#.#.####.....##.#.##..##...####..##.######..#.#####.##....#.#.#...##.##.##.......###...##.#.####...#.##.....#.#.###########.####.####.#.#.####.....##.####.....###.....######..#.#..#.####..##.#.####....###.##...##..#.###.##.##.....#.##.###.##...##.#...#...##....#####.##..##...#.##.##.##.##.######.###..##.##.#..##.#########.##.##......###.#...##..##.#.....##.#.###..#.#.####.#.....##...#.#..#.#########.#.##..##.##...##.####.###.#.#..##.#.#.##.##.#....#.#..###..######.#.#####.###...#.#.###....#.##.####..###..##.##.##......############.....#####.#############.######..##.###.##.#....###.######.###..##..#####.....######....#.#..##.##..####.#########..#####.#....#...#.##.####.##..###.###.#.#######.#.######.##.#.#.#.#..####..###.#####.#.#..##.###.##.###.........#.##.##......##...#.#......#.####.#..##.###
####.....##.#.....##.#.#...#.######.#.##......#.##.#..#.##.##..##.##.#.##..#.###..##.##...##..#.#.###..###..#.#..##.##.#.##...######.#...##..##....####.#####.#..#.##.###.#.##...#.######.#....#.#..#.##.####.##............####....#.###....##.######...#.#...##.##.###.##.##.#.##....#.#####....###.#########....####...##.###.#.##.#...##..#.###..##.##.#####.#####.#..#.##..#.#..###...#.#...##......#.############.....##....######.###.###.##.####..#.#####..#.#...#.##.#..##..##.#.##..#.#.##.#..#.#.#..###..#.##..###.###....#...#########.#.#..#.####.####.##.....##....###........###.##.#.#...#.##.##..##..###..#####..##.#.##.......##...#####....####.###.......#########.##.#.####.#######.......####..##..##.....###..##.####.####.##..###..##..........##....##.#.#.####...##.##....##.#....##.#..#..#####.##...#.##.###.#.##..#.####....#.######.##....#..#.....##.##.###.#######.##.#..#.#.#.#.##...#.##...###...#
#....#.###..##.##.#..#.##.####.##...#..##.#.#....######.##..#####..###.###.#...####...##.####.###...##..##.#######...###..##.###.#.....####.###.##.##....##...#.#######...#.##.#####.#.#..##.#.#.##.#.##.#....#####.#.#.##.##.#######...####..#....##..#.###.#.##..#.#.......###..##.######....#.##.......##....##.#.####.##.#...#..#.##.###.##...##.##.##.##............##..####.##.#...#.####.######.#####.#..........##.####.#....#.#..##...####..##..#####....##.##.####..#.##..#####..##.#####..##.......####.#####.##.....#.#.#######.#....#.#.#.##.#.#.....###..#.####.######.########.###..#.##.##.##..##.###.##..###.##.###.#..##.#.##....###.....##..........########.#.#..#..#....##........##.#.##....#.####..###.#...####..........#######...####.#.#########.#.##.#.#.#.####..#....#######.##..#.##...##.##.....###.##.#...#..##....######...#.#.##.##.#.##.##.#.#.#########....#.##.##.#.##.#.#.###..#....#.#.#.#####
####.#...#.######.##.#.#....##....#.#.##..#.##.#####.....#####....##.....#########..#.##.####...##.####.##....###..#...##..###...###.#....###...#..##.##..###.#...##.#..###..#...###.....##..###.#..#.#..##.###.....#.####.....#....##.##....###.#..##.#.###.#.##.##.####.##...####.....#.####.####.#.##.##..##.#..#......##.#.#.#.####....#.###.##..#...#..#.#.##.#.#######.###...####.##..##....##.........##.#######..#.#.####.##...##..#.#.##...##..###....#.###.##....##.#..##....##.##......##.###.##.#....#..###...###.#.#.#...........######.#..#.#...#.#..###.#........##..............######..##..##..#...#.###......#.##..#.########.##..####.#..#.############........#.#######.##..########..#####.#.#....##...###.######.#.##.#.#....##...#....###.........#.#..###.#.....##.###.#...##.#..##.##.##.#.......#.#..##..###.#.##.###.###.#.##.#......#.##.#..######.#...#.....#.##....#..#.#.####.#...##.##.#.#.#.......#
#....#.#.#..#.##..#..####.######.##.####.#####.##..####.##.....##..###.#####.....##.#.##..##..#..#..##...##.###...##.#####.####.##.####.####..#.#.##...#.##...#.#.##.#.##...######.#####.###...####.#.##.#....####.##.##...##.##.#########.#.#...#.##..#...###.##.#####...##.#....##.##....##.....###..#######..##.##.#.#.##.#.#.#.##...#.##...#.###.#.#.#.##.#.##.#......####...#.##.#.##.#####.##..#.#.#.#.#######....##.#.#....##.#.##.##.#..###.##.###..####...#..##.##########.#.#######.##.##....#.##.#.####.##...#####.#.####.#.#.##.#...#.#####.####.##.####...##.##.##..###.##########.....##.####..##.###.#.#...##.###########.##.#.#####...##.#.##.......##.....#.###.##.#.#####..##........##..##.#####.##..##.##........#.#.##.###.####..#.##.###########.#.#.#.##...####.###...#.#.#.##...##..##..#.#.#.##.##.##.###.#####..###.#........#.###.####..#.##.....##.###...##.##.##.#####.#.#....###.#..#..#.###.#.###.#.#
#.#.##.####......###.##...###.#..#..#......##.....##....#..##.##..##....##.#####.#..#..######.##########.##.##..#.#......###.#...#.##.#....######..###.###..#####....#..###...##..........##.#.##...#.##.#.#.##....##.###.##......##...##..#.#.#.###..##.#...#.##..##...#..###.#.##..##.######.##...##....###..######.#.#.####.###..##.##..#.#.###.###.#.#.####..###.######.#..#.#.#.....###......##.#.#.#.###.......#.#####...##..#.#..#..#.#.##...#....##.#....###.##.........##..#..##......#####.#.#.##.#...##..##.##.....#.##.#####..###.#.....#.####...#.....#.#.#...#.#####............#.#.#..#...##.##....#####.###....###...............##.#..###.##.###.###..#.###...####.#...#.#.##..#.#.##.###.......##.#####..#####.#.#####.##.#.....###.#..#.##......###########..#.#######..#####.###..#.#####..##.###.#####.##.#.###.....##.....#.#.#.##.###########.##.#.#.##..##.###...#.#.....#######.####..#.##.##...#.#...#.#.#
#.#.#..##...#.##...#####.##.....###.#.##.#####.#####.#.##.##...##..###.##...#.#....###.....##......#.#...##.##.##.#.#.#.###....#........##..##..##.##....##...##..#.##.##...#..##.###.#.#.####..##.##.######..####.####....##.###....####.######...##.##.#.###.###..#####.##...#..##.##.###.##.#..#.###.#.#.##.##.##..#.#.#.##...#####.#..####..##...#.#.#.#....###...##.#..#.########.#..##.###.#####.###..########.#..##...#.#..##.#.###.#.#..###.#.#.########..##..##.#.###.####.#.##..##.###.....#.#..#.##.####..#.#..###.#........##...#.#.#.#.#....#.#.##.#.##.#.##.##....##.#.#.#.#.########.###.###..##.#....##...##.#.....####.##.##.#.###.####...##...#.....##########..#.#.###.#.#..##.#.##...#.#.###.##.#.######.#...#..##...##.##.##..##.##.#....####.......##.#####.#.....##.....#...####..##...##..###.....#.##....###.#.######.##.#.#.#..#........##..###.#.###..###########.#.###.#.##.....####..#..##.##.#.#######
#.#.##.#..#.#..#.#####...##.#.#.#...###..#####.....###.#...##.####...######...##.#..##.###.##.###.##...#.#..#...#.########..##.#.#.##.#..##....########.####.##..##..#.###.###.#....###.#...##.#####..#......##.....#####.###..##.##..##.....##..####.#..#..####.####.....##.#.#.##..#......##.##.#..##.#.#..#.##....##.#.#....#.....####.#.###..#.##########.#.##..#......##....##....##..####..#.......#.##.##.....##.####.#.##.####.#.#.###.######.###.#......###.##..#.###..##..#.#..##....#.#.#.####.#.##.##.#.####.##...##.#.##.##..#####.#.#...#.##.#.##.#..#.#..#.#..#.###.#.#.###.......##..##.##..##..##.#.##.#.##.#.#.#.######...#.#...#....###..##.####.#..###.##..##.........#.##.##.#..#.###.#...###.......###...###.###.#.#..##.#..##...####.############.##.........#.#..#.#.####.##....##..#..##...#.###.###..##...###.##.....#########...###.#.##########...##...#.#...###.#..##...##.###...##.##.###..#.#...##.##
########.##.##.#..##...#..###.#.#.#.##..##.##..##.###..##.##..#....####.#####.#..##.##...#.##...######.####.#.#.#.####.#.####..######.##..#.#.###........##...#.##..##.#.....####.####..#.#.#......##.##.#.#.#..#.###.##....#.###..#.##..#.#.###..##..##.##...##......#.#.#############.##.########.###.#.##...#####.##.#.#.#.###.#.#####....###....#..##.#...#.#..##.#.#.####.#.####.####....#######.#.##.##..###.#.#....##.#.##....###....##.##.........#.###.##.#..##.#...#####.##.##.###.###.#.#..##..#.##....###.#..#..#.##.########....####.#.#.#.##.####.##.#.##.####.###.###.#..##.##.#####.##...##..##..#.#.##.#.##.#.#.#.....##.#.####.###.#####.##...######......##.#..#.#.###.#.##..#.##.#.###.##.#####.#.####...#..##.##..###.##..##.#..###...............#.##.#.#.###.###.##.####.#####.#.######.####.###.###...##..#..##..#####.....#.#.##.########.####.###.###..#.....#...#.##....###....#.#.##..#.##..##.#.#.....#
#.........####.#.##..#.#.######.###.##.##.....##....##..##########..#.#.#..#....##..##.#####..#.##.###...##.#.#.###.#......#..##.......##.#.#.##..##.##.####.##.###..#######..##.....##.#.#.#.##.#.##..#############..#..##.#.#.##.#.###.#.#.#...##..######.#.####.#.##.#..##..##.#.##...#...###.#..##..#.#..#..##...##.###.#.##..###..#..##...##.#...###.########.##.#####.##.###.....##..##.###.#...####..##.....####.#.##.#.#..########.###.#..#.##.########....##.##.#.#.....#.#..##.#....##.####..##.####.######.#.###.###......##.##.#.#..#.#.###..#..##...#.###...##.......##.#.###.#######...###.#..##..##.#..#.#..#.#.###.###..###.##.#.##...##...####....##..#.##......##.#...#####..##.##.#...#.##....##.#....###.#.###..##..##..##.#..##.#####.#.##.####.#.#.##.#.#..##..##.##..........#.#.#.##.#...##.##...###.####.#.######.....#.#.....##.##.##.#.........#...##.##.#.###.##..#.##..###.#####.#..##..##..#.###.###.#
####.##.###....#.###.#.#.#........####..#####..#.##.##.##..........##.#.##...#.####.##.....##.#......##.##..#.#.##....####.##.##.##.#.##..#.#..##..###....##..#..###..#.##...##..#.#.##.#.###.##.#..####..##.......##...##..#....#.#..##.#.#.##.##..###.#...#..###.#.#####....##.....##.######.#...##..##.#.##.#####.##.##..#..##...##...###.###..##.##....##......##........#########..##..#.#.....#....#########.##.#.####.#.##.##....##...#.##.#.#....##.....#.##..##.####.##.#.##.##.#.#.#####....###..##.....#.#.#.#.#####.#.#.##...#.#...##.#..##.##.####.##.##..#..###.###..###...#.......##.####.#.###.###.##.#.##.#.#.#.....##..##....#..###..#.#...###.###########.#.####.#.#.....#####.#..#.#####..#.######.#.##..#...##.##.######..##.##.#.....#.##..#######..#.#.#.##..###.#..####.##.##.#.#......#.##....###.###..###....##..##.##.#.##.##..........##.#.#####.###.#..#.##...#.##..##...#...###.#.####.##.##..##...###
#....##.#####.##..##.###.##.##.#.##....##.....#####..#.#..#####.#.##..#....###.#.####..#.#..#.#.#########..########.####......#..#..#.###.#.##..######.#.##..#####.##...####.##.##.#.##.#..##.##.##....##....#.###.#..#..##.##.#####.##..#.#.#..###.##....#.#.##...#..##...####..#.#.##........###.###.######..##.....#####.#.##..#..##.##.#.##..###....######.#.#..#.#.######.........####.#.#.#.#.##.#.##........##......#.#.#.....####..###.##.###.##.##.##.##.#####.....######.#...#.#.#...##..#.##...##..#.#...#.###.......###..##.########..##.#####.##...##.#####.##.....#####..#####.######....###.##..##...#.#.####.#####.#.##.##..#.###..##.##.###..##...........###..##..#.#.##.##.#.####.#....##.##.....##.#..##.#.#.##.##....##..##...#.###.#.#.##.##.....#.####.#####.#.####...##..###..####.#.#.#.##.#.####...#.##...##.###.#..##.#..#.##.#.##.##.##..#...#.#.#.#.##.#..#####.#####..#####.#.#.#.#.##.#..##.##..#####
#.##.#..#..#...##.#..##..#..##.#.#..#.##..###...#.##.######.....#####.###.##.....#.#######.##.#.........##....##....##...#.##.#.###.#..####.##.##..#.#.#####..##.#.##.###....##.##.#.##.##.#..##..###.###########..##.##.#..##.....#.##.##.#.##..##..##.#.#.#.##.#.#.#####....#.######..#.######....####......###########...#####.####.....#..##.##..#.##.#.#..#.#.####.########.##.#.##..#.#.#.#.#.##.#######.#.#.#..#.##########.#....##.#####....#.##.#...#.#.....##.#.#......#.##.##.#.##.######..#.#..##.#.##.##..##.##.##...#.##...##.#####.##.....#.##.###.....##..#.#.#.....##...##.......#.#.##...##.####.##.#...##.#.....###...####.#.##..#.##..##.##..#.##.##.#...#.#############.....##..##.#..#.#########.#.##..#.#.##..##.#..##.##########.#.###.....#######.#...##.....##...#..##...#####...#.#.#..#.#....#.###.##.####..##.##.#..######..#.##..#.##.##.#...#...#.#..#######.....###...###...#.#....####..#..##.....#
#.##.##.##...###..##.###.##..###.##.#..##.#...#....####.#######.##.##.##...###.#.........#.##.#.#.#.##.####.####.##.#..#.####.####..##....#.##..##.........#.##.......##..##.##.##.#.#..##.#.##..##....#.####.#.##....#####.##.##########..####.####.##.#.#.#.#..#####.###.##........#.##......##.#..##..###.##...###.#.###...##...##..###########..##......##.###.##........##..##.#..##.###.#.###.##..#####..#.#.##.#...#.#.##...#.####....##..#.########.#####.#.##..#.##.#####..#.#..###...##....##.#.###.#.##....##########.##....#.......##..#.#.###..#.#...#.#.#..####.#######..#####.#.#.##.###..#.##....#..#.#.#..#####.#..####.##......##.####.#####..##.##.##.##.#####..#.#.#..##.######.##..##.#.#.......###..##.#.#.##.#####.###.#..##.##.#.#...##.#.##.##.##.########.#.##.#.######.##.##..#.#.###.##.######.....##.##.#.###.#####......##.#.##.#######..#.###.#.#.##.......#.#.###.#.#...#.###.##.#...##.##.##..###.#
#.####..#..#...##..#.#....#.##...#..#.#####.#.#.#####.#....#....#......#.#..##.#.##.#.##.#..#.#.#.####.#....##...#..##.####...##...##..#.##.#########.##.#.#..##.#.#####.###.##.##.####..#.###..########...........##.....#.##.........##.###...#.####..###.#.##.##.##.#....#.#.######..##.#.#.##.#.##..####..#.#.........#.###..#..##.......##....##..##.#.##...#######.#####..##..#.##..###.#####..##..##...##.#.##.###.....##.#.#....####..##.#..##.#.....##.###..##.###...#####.####...#.#..####.####...#.###..#.######......###.#.######.###.##.#.##..##.#.#.#.####.#.##.......##....##.###..#.######.#..#.##.##.#.##..##...##....######.####...##...##...##..#####.#####..##...#.##.#...#.#.#####.##.#...#############.#.#.##....##...####.........#.####.#........#.####.#####..###......#.....##.###.##...#.....#..#.#.##....#...###.....##.###..#.##.#.#.####.####..#.#.#..#.#.#.#.#.##....#.#.#..##.##.#.###..##..##...###
#....##.#####.####.#.###.#######.##.#.#####.###..###..####.#######.#.#...##..#####..###..#.##.#.#.##.#####.##..####.#...##..#.##.#..##.###...##........###########.#.....#....####..##..##...#.##.##.#.###########.##.#.#####..#.#####..###.###......##..##.#.#..#...#.#.##.#.#.....#####..#.#.##.########...########.#.#....##.##.##..#.#.#.##.##..####..######.##.#......#######.##..#.##...##....##..##..#..###.##...##.#######.##.#....#.######....###.#.#......###..####....####..#.#.#.#.##.....##..#.#.####.######.####.#...###......###.######..#.#####.#.#...##.#....#######..####....####.....##.##.#..#.##.#.##.###.#..#.##..##....#..#.#..##.####.####..##.......##....###.##...###.....##...#.#.#..........##.###.#..##.#.##.###....##.#.#.##....#.#.######............#.##...#.##.##.####..##..##.#.##.##...#######.######.#####.###....##.#.##........#....##.#.#.##.#.#.#####..##.#.######..#.#..######..#.####.####
#.#.##..#........#####...##...#...#.#..##...####.#.##...##.#.####..#.##.####.....##..##.##.####.#......##...####....#.#########..##.##...##.##..###.##......#.#.#..##.#.###.#.##.#.##..##..#####...#.#.#.##.##......#.#...####.###########......#.##..##..#.#.#.####.#...##.###.#.###.##..##.#.##...##.#.#.#.##.......###.#.##..#..##.##.###..#..##..####......#.##...#.##.......#####....###.###.#.##.##..##.##...##.###......##..##.###.##....##..#.####.#.##.#.#...####.#..##...###.###.#.#.##.#.#..##.###....#....##.......##.#####.#.#..........#.##...##..#.#########.#......###...###.####.##.#.######.##.#..###.##.##..#.##.#######.#...#####.##.#.#....##.####.##.#....#.##......#.....#.#.##.#.###.#.######.#.....##.##.##.####...###.###.#.###..#.##.#.....###.###.##.#.####..#.#.##..#....##..##.##.#..#.#..###.#...#...#.####.##...##.#.###.#.#..####.####.#..#.###.#..#.#.....##.##.#..#.#.##.#.##...#.##.##..##..#..#
#.#..######.##.#..#..##.#####...#.#.##.#..#.#......####...........##..####...#.#####..#.##...##.#.########.##....#.##.##........#####..#..#..##.#....##.#.#.....##..###.##..#....#.##.####..##...#.............#.##.###.#.#...........#..#.##.#.####.##..######..##....#..#.##..#......##..#.#.##.#.##.....#..#.###.#..##.#####.##.##..#..##.###.###.#....##.###..##.##.##.##.##.##.###.#######...#.##..##.#..#..#.##...###.#.####.##..######.#..##.###....#..###.##.#####...##..#.......#.###..###.#.##...#####.#.#.##..##.#.###....######.##.##.#.##.##.#####.#..###.##...#.##.#..##.#.#.####....#####..##...####.#....#.##.####.....#.#..#.#...#.######...#.###..#.###..#.#.##....#.#.###.######.####.#####.....##.###.#.##.##.##..##..#######.###..##.##..#.#.###...#...#.##########.#.#..#.###.#.#..##..##.#.#####.......#.###.....##....#.####...#.#.##...##....#.#.##..##.#.##.#.#####...####.....##.###..#....###..####...##
#.####.#.....#.##...#####.##..#.###########.#.#.#.##....##.##.#.#..####....#.#..#.#..##..#.#.##.#.###...##.##.##.#..####.####.#.##.###.#.###.#..###.###.#.#.#####..###..##.###.#####.....##.######.##.######.#.#.##..##.###.##.#.#.##...####..#..#.#..##..##....#####.###.#####.#.###.##..####..#.#.##.#.#.##.###...##.#......####.##.#####....###...##.#..#...####..##.##..######..#.........#####.#..##..#.###.###..#..##.#.##.#.###......#.#.##########.####...##.....###..##.#.#.##.##.####.##..######.....#.#.###..#####.##..####..#####...#.#.####.....##.##......##.##.##.#.##..#........##..#.#..##..#..##..##.#.###..#.###.##.#.####.#.#....#.####.##.##..##...##.###.##.##.###...#....#####.##.....#.#.####.#####.####...##.##.###..##......######.####...##.####.#...#.#.#.####.#.##...#.####..##.##.#..##...##.#.######.#.#.##.##.#...##.#.#.#..##.####.#####.##.#####.####....#######.####.###..##.##.##...##...###.###
#.##...####.####..#...##.....##...##..#.##..#.#.#.##.#.###.#..###.##....##.#.##...##.#####.###..#.....#########..#.##....##...#.#......#.##..##.###.##..###.....##...#####.#.......##.#####..##########......###..##..###...##.######.#....##.##...#####.#####.##..##.##....##..#...#.###...##.##.####.#.#.#..##..#..#.##.##.###.#.#......##.#...#.#.#..#.##.#....##.##..##......##...###.##.##.....##.###.#..####...##.###.#..#.#.#.#.#.#.####....##.......##..#.#..##.####.##..#.######....##..##..#.#...##.##.#...##..##...###......##...##.######.########..#..##.#.##.##.##.#..##.#.##.##.####.....##..##.####.##.#...##.#......#......#.#.#.####...##.##..##....###....#.#...#..##.#.##.###.##...#.#.#.#.#....#....##..##..###..##...##....#.#.###.##..##...####....#####........#####..##.##....##.##.#..#.##..#..###.#.#..#.#.#.##..###.#..#.#.###.##....##.....#.##.#.##.....##.#.#.##......##...#.###.##..#.###..###.#.#.#
#..###........##.###.######.####.####......##.#.#.#..#.##..##..##.##.#.###.#.##.####..####..###.###.#..#.###.##.##.####.##..###.##.#.#.#..##.#..#....##..###.##.##.#.#.....#.##.#####.#.##..##..........##.#...##.#####...#.#.......#.#########..#...##...#.##..##.....##.#####.#.###..##.#.#..##....#.#.#.##..##.#.##.##.#......####.###..#.###.######.#.##.#.#.##...####..#.#.##..#...#.##.##.#.#..#..##.#.##....#.##.#.####...#.#...#####....########.#.##..##.##.##....#.##.##..##..#.#.##..####...###..#..#.#.#.##.#####..##.#.##....#..###.#.##.#.##########.#..#.##.##.##.#.#####..#.##....#.##.#######...##.#..#.######.#.##.##.#.#.#.#.#......######..##..##.###########.######.####......#.#######.#.#.#######..#.####...#####.#####.###.#.#.#..#.##..#....####.....####.#.#.....#.##..##.####...#.##.#..#.###..##.....######.##.###..#.##.#..##.###.###..#.###.##....##.####..#......###.###.#.#...#.#..##...#.####.....#
#.#####.##.#.##..##..#.#.......###.#..##.#..###.######.#..####.##..###...#.###.....##.#..####....##.#.##.#.#....##.#....##.##...##.###.#.##..#####.#.#..##....#.#..######.##.#....##....###..##.###.#.#.#####.##.....##.#.####.#.##.#......##...###.####.##....####.#.##...##.###...##.##.####..#.#.##.###..#.###.#.####..##.#.###.....##.##..##...##...###..#.#..#######..##.###..##.#.#.##.##.###.##.###.#..####.#..#....##..#.#.#.#....###.#........#.#..##..#.#..##.#.##.##..##....##.#..##....##.##...#######.####.##....##..#..###.##.####.#.............#.###.##..#..#.#..###.....##..#.#########...#.#.######.##......###.##.####.#.#.#.##.##.###.####.#..##......###.#......##...##..##.#.....##.######......##.##.#.#..###.#.#...##..##..#.....##..##.##.#....#.#.#...#######.#.######..#....###.#.#..####..###..#.#.#.#.#..#..###...##..#.#.##..#....###.#..#####.#.###....#.##.##.#...#...#.#####.#.##..#.###.#..##.####
#....####..#..##..##...####.##..##.#####.#.####.##.##..#.##.##.##.#####.##.##..##.##....########.####......##.#.######.##..###.###.##..#..##.###...#.##..#.#.##.##.##......#.#.#.#####.##...##..#...#####.#....#.#.#.##.#####..#.##.#.#.#.###.#..##.##....####.#....#.###.###.#...####..####.#.##.#.##.#...##.##..#.#....##..#.###.##.##...##..##.#####..##.########......###...##.#..#.#..#.####....#.#...#.##....##.###.####.#.######.###.###.##.##.####.####.#.#.###.######..##..#.#####.####.#.##.##.#......#####....#.#.####.#.##....###......#.##.###.#.##.....##.########...####.###.##....##...###...#.###.######.#.###...##....#.#.###.##..#.......#####..####.#.....##.######.#..##.#####.####...######.#.####..###...###....#.#######..##.#.####.###.#..#.#.##.#.#.#...#.#.#.#.#......###.#...######....####.#.##.###.#...###.#...###..##.#.###.##.#..##.##.#.#.#.#.##..##.###...####.##.#.#..#..#.#.###.#..##...##.....#
#.##.#....##.##..####.##.....##.##..###..#.##.#.##....##..#.#..#..#.....##.##.###..##.#........#...##.##.#.####.#.##....####...#....##.##.##.#.##.#####.####.##.#..##.#.#.####.#.##....##.#..##.##.###.#....#.##.#.#.#..##....##.##.#.###...###.##...##.###....###.####.......###....##......####.######.#..#####.#####.####.#...####.####.##.###.##....##.....####..###.###..####.##.####.###....#.##.###.#.####.##....###....#...###........#.##..#...##.#....###.##.......##.##.##...##...##..#.##.#..##.#.###...#.#.##.#.##...#..##.#..#..#.##.#..#######..###.#..#.#.##.##..#.#......#.##.####..###.##.####.#.#.##.#.#.#...#..##.#####..##..##.#.#.#.#.#..###.#....#.##.###......#.#.##......#..####.##.#..#.#....##.#...#.....##.###....###.#..#....#...#.##.#.######.#.###.....#####.#.##...###.#..##....##..##.....#..##...#...#.#.#.##..##..###...####.###..#.....###..##..#..###.##.....#.#.##...##.#.#.#.#.##..#..##.####
#.#######..#..##...##.#####.###..##.....##.#.....##.#.#..##.##.##.####.##..#..#.####..##.##.#.###.###..#.###.####....#########.#.#.##..##.##.#....##....##....####.##.#.#..##..#..####..####.#..#..#.....##.#..#.#.#.##.#..#.##...###..##.###....##.###..####.####.##...#.#.####..#.###.##.###........#####..#.#...##....##..#.#..##....##.#..##..#..#.###.#.#....##.##....##....####.##.....#.##.#..#.##..###.....##.########.#.###...##.##.##.##.###.##..####..##.###.##.###...####.#..##.####.#..#.##.##.#.....#.#.#.#..#..##.##.##..##...####..##.......####...##.#....#..##.######.#####.......###..##...##........#.#.##.##.###.##..#.###.##..#.#.###...##...#.#.#####...##.#.#####.##.##.####...#.....#.####.#.#######.##.##..#..##.##.....##.#.#.###.##.##.#....#####.##..#.#....######..#...#.#.####.#.##.##..#.#.#.####.##.#######..##..##...#####.##...######.#...#.##..###..######.#.##.#..##.#######...#..#######.....#
###.#.####.#.##..####...##....#.##..##.##..##.#.##..#.##.#.....##.#.....#####...###..##...#.#.##....#.####........#.##.........###..##.##..###.#.#####.######..##..##.#.##..##.#.######...#####.########.#..#.##.#.####.##.#####.########..#######....####....#....##.#.#.####...##...#.####.####.###..##.#.##...#..#.#.####.###.####.###..##..##.##.#...###.#.##.##.#..##.##.##.###..####.#.#.#..##.#..##.##..###.##.....##...#..####..#########....#.##.###...##...##..#...###..#.#.####..##...#.##.#..##.#.#.#######.##.#.###.##..##.##.###.###################.#..#.##...###..##........##.##.###.#.###.####.######.#####..##...#....#####...##.#.#..##.#..###.#.#.....##.###.#.##.##.##..#...######.#.#......###.....#####...#.##.#######.#.##..#.#..##.####..#.####.#####..##.##.#...#..##.#.#.###.#.#..#.#...##.#.#.###..###....##....####..#.#.##.......#....##..##.##..##...##.....##.#.##.####...#...##.#.##.....#.##.#.##
#..........#..##....##.#####.######.#...#####.###..##.#..##.#.##..####.###....#...##..##.####.##.#.####.##.###.####.##.#######.##..##...##.#...###.#........##..#.########.#####.#......#...##..#........##.#..######...#.....##........##...##..##.####.####.####..###.#..#.###..##.##....#...##...#.##..#..###.#.#######.#.###...##.#######.###.##.#.#.#######..##.##..####.####.#.##....#.####.####.##...#.##...#..#.#..##.##.##..#.####.##.#######.##...###.###.##..####...##...#######.###.##..#.##.#..#.#..#.#..######...#####.##.#.......#.#..##..........###.####..#.##..####.###.###..#....#.#.#.............#..##...##..#.##.#..##...#.####.##.##.#.##...#.##.#######.###.....####.##.#.....#..#.#.##############..####.####.##....###..##.####.#....###.#.###.....###..########...###.#.###.....##.#.##.#####.#.....#####.#..##.#...##.##.########.#.#.#.####..#..#.####.####.#.###.#..#....##.##.#.##.#..##.##....#.#..#
#.#.#.##.###.####.###..##.#.....##..#.###.....##..##..##.####..##.##.....##.#.##.####.##...##.##.#.......#.##..##....######....##.#####.##.###.###...#.##.###..####.#........#######.##.#.########.##.#.##..##..#.##..####.#.##..##.########..##............###....##...##...##..##..##.##...#..##.######.#.##...#.##..........###.##....##.#...######.#....#.###.##.###..##....#..#..##.#.###.......######.###..#.##.#.##..########......#..........#..##.##.....#..##...###.##..#......##...#..##.###..##.#.##.....##......#..##...##.##.#.#.##.#.###.#######.##......##.#####..##...##...##.##.#...#...####.##.#.#######.#.#..##.##.#.##..#.#....#..#..#.#..##.##.##..........##.##.###.###..#.#.#...##.#....###.##.##...##.#.....#######.....##..###..##.#.#.###.....###.#.##..##.#.####...#.#...###.####.#.##.#.#...##.#.###..#.########.##..#.....##....#.###....#.###.#.#.#...##..#.##..#.###.###.....#.#..##.#####.#.##.#.##
#####.##.##.....#...####....#.#.##.##..##.#.#..##.########....#########.##..#.##..##...##.###.#..#.#.#.#.#.#############..####.#####.....###...#...#.#.##...##...##.######.#.......#..###...##.....######..####.#..##.##...#.##.###.####...######.###.#.#.#####.##..###..#.#.#..####..#..#.#######...##......#.#.#.#####.#.#.#.#....##.###....#.##.....#.##.....#.#..#.#.##..##...########...####.####....#...##.#.##.#.#..##........#.##...##.##.#######..###.#.##.##..#..##..##.#.##.###..#.##.#..#...##..#.##.#.#..####.#.##..###.##.#..###.##........#..###.#..#.#.##.....###.##.####.######..##.##.##############....#.#.##.##..#.#####.####.####.##.#.####...#.####.##.#.#.##..#..#....##.#.#.##.######.#......#.#..###....#.#..##.....##.####...#######.#.....#########.###........########.###.#....###.##...##.##..#.....##.#######...##.##.#.##..##.#...##.###...###...#.#.#..####..##...#######.######.##.....######.####
##....##.##.#.#.#.#########.#.#.#..##.##..#.#.##...###.....##..##........##.#.##.###.#..####..#.##.###.#.###.#.....###.##........#.#.#.#.#######.#.#.#..##.###.###....###..#.#.#####.##...###..#.#.#......##......##..###.##.##.##.......#..#.#.....#.#######...##.##...####.#.##..##.#.##..#.###..#..####.#.#.#.###.....#.#######.##..####.#.#.##.###.#..##.#.##.##...####.##..#....##....###.......#.##...####.#.##.####..####.#.#.#..##.###.##.##.#####.#.###.##..##.#####.##..#.##...##############.#..##.##.#.##.##...#.#..##....####..##....#.######.##.######.####.###..##.##.##.#.....##.##....................####.#.#..##.##.....###......##..#.#.##...#.###....##.######.###...#####.#.#.##....#.#######.##.#.######.##.#####.#.####.##.#.###.#.###.#.#.#........#....#.#.##.###....#####...##.#..####..####..##.###.#..#....##...#######.#.#..##..##.##...####..##.#.#.#.##....##.##.#.......#..#..######.##......#....#
#..##..###..#.#.#.##...##...#####.##..###.#.#.#..#.#...#.####.##..###.#.###.#.##.##..##.##.####.##.###.#####...###........##.#.###...#.###.##....#.#.##.##.#....#####.....####.....#.##.#.##..##.#######.###.##.#######....#.##.#..#.#####.##...##.##.##......#.#..##.#....#.#..#.###.#####.....##.##.#....########..#.###....#.#...##....###.#.##.##..#######..####.####...#####.##..#.#.##...#.#.#.#..###..##..#.#..##...###...#.###.###...###.........###.....###.#......#..##.#..#.#.......##.###...##..#.##.###...##.#####.##.#.###.##.####.##..#####.....#...###......#.##..#..#....#.#.##.###.#.###.##.#####.##....#.####.##..#.#####...##.#.##.#########.#.#...##.######.....####.....###.###..##.........####.......##.#......#.###....##...........#.#.#.#.####.#.#.######.##.....##...##..#..####.#..##.##...##..##..#####.######.......######.##.##...#.#....#######.###..#.##.##.##.##.##.###.##.##....###..#.####.#.##
##..##...##.#.#.######.#..#....####..##...#.####.###.#.####...##.##...#.##..#..#..##.#.......##..#.#.#.....##.#####.##.#.##..#...##.#####.....#.##.###..##.#.##...#######...##.##.##.#..#.##########.....#.#.#......##..##.#..#.##.#....######.##..##..##.#.#.#.##.##.##.#.#.##.....#..##...#.###...######..##..#.##.#.#...#.##...#.###.#.##..#..#.###.......##..##...##..#.....####.##.#..##.##.#.######...###.#####.#..#.##..######....#.#..##.#.###.#.##..###.#.#.###.####.##..#.#####.######......#.#..##.#...###.##.....##..###.##........#####.......#.#...######.#.###.###.##.##.#.#.#.##..##.#.###.##.....###########....#########...#..###.##.....##....#.#.#.#.......##.##...##.#######...#.####.#.#######.#.###.#..#.##.#.#####...#.####.#.#.#.####.###.#....#.#........#..###.#########.###.##.....##...##.##..####.....#.##.##..#.#.#...##...##..#.#.#.#.#####....#...##.#########...#.##..##.......#.###..##..########
##.##..###..#.#.#........##.##.#.#..##..#.#..#.#######.##.#.#.##..###.#.#..##.#####..##.###.########...#####..#.....####.##.##.#.##.##....###.#######..##..#.##.###..####.####..#..####.#..####.##.#####...####.#.#####.####.####..#.####.##....##.##.#####.#.####.##..#.#.#.#..#.#.#.#######...###..##.##.####....#######.#####.##.#...#.##.##.####...###.#.#..####.####.#.#.#....####.#.###.##.#.##.##..#...#.##....##.#..#.##......#.##.##..#.#...#.#####.#####....##....#####.#..##.#....#.#.##.#.#.##..#.#.#...####.#.#.#..##....#.###.######.############.##...##.#..####...##.#..#.###.#..##..#...#.#..#.####....##..####....#.#..#.#.####...###.#.#####.##.#.#.##.#######.##.#.##.#####.##.##....#.#.............#.#.####..#..##...#.#.#..###.###...##.#...####.####.##.#.##.##......###......#######.####.##..###....#.#.###.....##.###.##.#####..##.#.#.#.#.......##.#.#.#..##.##.#####.#####.##.#.###.###.##..##...##.#.#
#...##..###.#.#.##.#.###.##..#...##..##.#.####......#..#....#.#..##...#.####......##.##...#..#.##.##.#...##..##.###.#....##.##.#..###..######.##.##...####.###....##.........#####...##.#.##.............#..##..#..##......#..####.#..###.#######..##...###.####...##.##.#.#.##.#.#.#..##.....#...##.##....##...##...........##...#.#.###.#...#..##..#...#####.##.#..#....###.#.#.###.###.##...#.#.#.....##.#.#..##.#.##.##.#.###.#.#.#..#..##.#.#.#.####.##.#.....#.##..##.....###.##....##...#.#..#.#.##.##.###.####.#######.##..#.##.#.....##.#.#####....#.#....#.##.##....##.##..####.######..#.##.###.#.####.#..#####.##..#.##.....##.#...##.#..##.####.##..#.#.###........#..#.#.##.......#####.##.#.####.###.#.########.###.##..#.#.#.#...####.##..#..###.#...##....#.##.#.##.##.#.##.....#.#.###.####..##..###..##.##.###..##.##.##....#..###.##..##..#.###.#.#.#.########.##.....#.#......#.####..#..##..##....###.#......#
##.##..##...#.###..###...###.################..##.#...####.##.#.##..#.####...###.##..###.###......#####.####.##.##..####.##.#..##..###.#..........###...##.####.######.#.#.#...#.######.#####.###.#.##.#.#.####.#.#####.####.##....##...........##.#..#...#.##...#.##..#.#.###..###.######.#.##.#..#####.#..##.####.##.###.#####.##.#..##.#.#.#.##..###.####......##.#.##...#.#.#.....##...##.#######.####..#.##..#.#..#.##.#...#####.##.#######.#.#......##.#.#.#.#.###..#.#.####...##.#.###.##.##.###.##..#####.##....#.#.########..#####.###........#.####.###.##.##..#.#.##...##.#.......#.#.##..#...###........##.#.#....##.############.###.##.#...#....##.#.######.###.#.##.#.#.###.#.##...##...#.#....#...###.....#.##..##.##.##.#####.###....#..##.#######.#####.##..#.#.####..#..#.##.##.#........##.##.##...##...#..########..##.#####.##.....##..##...#.###.#######.#####.##.##.###.##.....##.##.####..###.##.#.####.#.#
#...##..##.##...#####..#..##.....#.#.#...#....##..#.#.#.#...###.###.#.##.#.#...#####.#.....##.##.##......#.#.####..###...##.##..#.##.###.#.###.#.##...######.#....##...#.#.#.#.....##...##.#############.###.####...##...#######.#..###.#.#.#.#.##.##.#.#.#.##.#.#.#..##.#.####...#..#######..#.##.#.....#.##..##...##.#......##.####.##..###.#..##.#......###.##.##.#.##.#.#.###.#.#..#.#.##...##....#....##.##.##.##.#.#..#.###.....#....#.###.###.###########.#.#.#...#######...#..###...#..#######..##.###....#..##........##....###.##.....#.#.##........##########.#.#####.######.#.####.####.####..###.#.#.#........#.##............##...######.#...####..#..##.#...##.#.##.#.#..##.#..##.####.##.##.###.#.#####.#......##..####..#.......##.#.#.##.....##......##..#.####....#.##.##.##.####.###.#.###.##..##.##..#.####.#.#.#####..##..#..#.#.#..##.##.#.#.###.....##....##..#####.#####..#.#..#.##...##.##...##......#.#.#
#.####.##..##.###.....##.###.#.#.#.#...#...##.##.##.#.#...#...###...###....#.#...##..#.#.#.##..#..##.#.#...#..####.#...#.##.#..##..#.##..#####.#.###.###..##...##.##.#.#.#.#.#.#.#.##.#.#...##...#....#..###.#.##.#.###.##...#.#.##.##..#.#.#.#.##.##.#.#.#.##.#.###.###.#.#....####...##.##.########.##.#.##.#####.##.##.##.##...##...##.#...#.######.#.#.##..##.####.##.#.#.##..#.##.###.#..#.#..##.##.#..#.##.##.##.###.##...##.#.###.#.....#.##....###.##....#.###.#..##...###.####...#.#.###......##....####...####.#.#.####.##.#......#.#.#.#..##.##.##........##..#....##.#..##..#.......#.#....##..##.#.####.#.##.##..##.#.#.#####.#..#.....##.#.#....##.##.#....####.######.#.##..#.##.....#.##..#..##.#...###.#.########....####.#.#.###..#.#..##.#.##..###.####.#....###.####...###....##..####.#.#.##.##...##.#..............##....##########.#..##.#####...###....##..##.#.#......###.#.##.#.###.##..##.#..##.#.###.#.#
#.##....##.##...#####.#....#.#.#.#...#.##.##..##.#..####.###.##...#.#...#.##.#.#####.#.#.#.##.##.###.#.##.##.##.##.#.#.#.####.###.##.#..###....#.#...#.##....#..#.#..#.#.#.#####.#..###.#.#..#.#...##.##........###.#......#...#.#...##.#######..#.##.###.###..#..##...#.######.#.######.........#######.#.#..##....#####..######.###.#####.#.#.####...#.#..##.##..##..##.######.##..#.#...##.####.##..#.##.#..#..#.#..##..#..###..#.##..#.##.##..##.#.#....####.#.##..##....#..##...##.#.#####.#.#.#.##..#.####..#.######.#....##########.##.###.#.##...#####.#.#.#..##.#.##..#.##..##.#.#.#.#...##.####.#####....############..#.##########.#.##.###.#.##.###...####.#....####...#.#..##.#.##.##.#####.##.##..#.###.###....###.#.####....###...####.##.####.##.####.##...#.########.####.####.#####....#...#.#####.####.#.#.#.##.#.#######.#.......###..##.##....##.#.##..#####.##......#.##...#.####.#..##.##.##..#.###.#...#.#.#
#.##.#.##..####.##....##.#.#.#.#.##.##..#..##.##.##.##....##.#..#.#####.######.##.#..#.#.###...#.#...#.##.##.##....###.###.##...###....##.##.#.#.###...##.##.#.##.##.###.#.....#.##..#######...###.#..#..#.##.#####.##.##.##.#.#.##.###.##..##..##.##...#...####.##..#####...........####.#.#.##...#.#...#.##..####.#.....###..##.#.#...##..#.#..##..#.#.#.###..#.####.##..#...#..##.#.##.######...##.##.#..#.##.#####.###.##...##.###..##.##..##.##.#...#.##....########.#####.###.##..#.##.#..#.#.#.###.###....##..##....###.##..###.#...##...###..##.###.####.#.##..#.#..##.#####....#####.##.##...##.....##.#####.#.#####.####..##...######..#.#.###.#....##.###.#.##.#...#..#############..##..##...##..#.##.......#.##...#.#...##.##.##..###....##....#.##.##....###.#...#...#...##....##.##.##.####.#.#..##......#.#.#.###..#....#..####.####...##.#...##.###..#.###.###.#.#####.#.####.###..#.#.##..#.##.##.####...##.##.#.#
#.##.#.##.##....##.##.##.###.#.#.#####.##.##..#..######.###..####.#.......#.##....##.#.#.###.#.####.####..######.#..##.##.....######.#.#.....###.#...###..##.#..#.##.#...#.###########.#.#.#.#.#...##...##..#.##....#...######.#.##.##.....####.##.#..#.#.###.....##...######.#.####...####.#.##.#...#.#.#..##.#....#.#.#.....##....##.####.###.######.#.#.##..##...##.###...###.#####.#..##.....#.#..##.##.###..#.##...##..##.###.##..##..#..########.######.##..##.##.......###.#.#####.#....####.###.....###.####..##.#.##...##.#.#.#.#.##.###...###........#.#.##.###########.#..##...##...#..##.###.##.##............##...####....###.#..#.##...##..##.#.#......#.##.#.#...###.#.#.#.#.##.##..###.#.#..#######.#####.##.###.##.##..#...##...#.#.####.###.##..##.#.#...#.#...#...#####.#.##.....#....#.#.#######.##.#####..###.##.#...##.......##.######.##...###.#..##.....#.....#.#....#..##.##.##########.##....###..#..###.#
#..#.#.##..####.#...#.#...########.#....##########.#.##...##.##...#.#.#.###....#.##..###...#.####....####...######.##..##.##.##......###.#.#..##.#.#..##.##..#######.###.#.....###.#.........#.###..##.####.#.###.#.###......#####...##.##...##.#..#.##.#..####.####.###..#...#....#.#...#######.##.####.#.##..##.#########.###..#.##...##....#..##....#.#..##..#.###..#.#.#...####.#####..##.##.#.##..#.##.####....#######.##.#....##..##.##.....##........#.##.##.....#.##.####.#..##.....##.##....##.#.###...#.##.#####..##.##........#..###.##.###..#.########..#..##..##.......##..#..##.##.##....#.##..###.###.#.##.#..###..##.#...#...####..#.##.##..###.#.#.##.##.#####.#............#####...#.#.##.#...##.....##.##......#####.#.#.#..#.#.###......#..##.#..#####.#.#.#######..####.##.###.#.########.......##...####..##..###.#..####.##..#.#.###...#.#..#####.#..#.#####.###.######.##..............#.#..##...##.######.#
#.##.#.#..##....##.##.###..#####.....##..##.#...##......########.##.###.##..#.##.##.##...###....#.##...##.#..##.##..####..##.##.###.##...#.##..###.##..#..##..##.....#####.#.###...####.#.##.#.##..######...###.#.#.##..####..#.##.###..##.#..###.#####.####....##....###.###.##.#.#.#.#....##.####....#.#######..#..........###.#..##.###.#.###..##.#.####.###.#...##...#.###.##.#.#.##..###.##.#.##.####.....#.##..##.....##.###.###.##..##.##.####.#.#####.#..#####.#####......#####.#.#..#.##.##.##.#...#.#...##..#.###.#..##.##.##.###.....##.#.##.#.##..#.######....#######.####.##.##..##..##.#######.##....#.#.##...##...##..###...#....##.####..##.#####.#.##.##....##...##.###.#.####..#.#####.##...#..##.#######..##.#..##.###.####.#####...##.#.#.######..##...###....####.##.##..#..##.#......######.##.##.###....##..##...##....#.##.####.#...#.####...##..#.##....##...#......#..##.#.#.#####.#.#.##..###..#..##..#.#
#.####.##..##.#.#..##..###...#.##.##..#.##..###..######......##..#..#...##.##..#.##..##.#######.#.##.#..###.##.....###...##...#####.######.###..####..###.##.####.#.##.#...#..##.#..#####.#..#.##.###.....#..##...#.###....#.##..######..#.##...#.#.#......##.#..##.#.#.......##.#.###.#.##....##...####..#.###..###.#.#.#.#...#.#.##....#.####..##..#..##...####.#.###.##...#.........##.##..#..#..###.#..#.#.#.##.##..##.##..##..##...#.##...####...#....##.##.#.....#.##..#.##.###.###.#.####..##.##.##.##.##.####....##.#.##..#..#..##..#####.....###....##.#.#..##.###.......##...##..##.#..###......##.###.#.#.#.##.#....#####...#.####.#.##.##.#.##.....##.#.##..##.#.##.#..#...#.#......##..#.##.##.#.#.##........##.#####..#.######.....###.#.##.#.###......#####...#.##..........#######..#.#.##...####.##.##..#####..##.##.#.###.#.###....##...#.####...#..##.#.###.######.#.#.##.#.##..#.#.....#####.###.#######....####
#.#....##.#####.##..##.#...#....#.#..######.....##......#.#.####.##.#.#..#..##.#.#..##......#####.##.##..#######.#...##.#########.###.#......##....##.#...##..#.###.##...#.#.######.......##.#.#..##..#.#.#.#####.#.#...####....##......##.###.####.###.#.###.##..###.#.#.#.#..###...###.##.#.##..#....#.##.#...##...#####.#.#########.#.#....##.###.#.##..#...####.#....##.##.##.##.#.##..##.##.#.##.....##.###..#..##.##.#..####.##.#.#.#..#....##.###.#..###..#####....##.#.#.......##.#....##.##.##.#..#..#...####.#..#.#..##.#.###..##.....##.########.###.....#########.#.#..#.#..########.#.##.#####...##.###.#.#..##.#####.########.###.#.....#####.#.#####.##.##..#.##.##.###.#####.#.####...#######.#.##.##.#.#.#..#.##..##.#.##.###.###...#.##.#..##.##.#.#.#...#.#.#..####.######....####.#..#.#....###...##...####..#..###..##.#...#.#.###.#.#....#.###.##..###.....#.####.#########.##.##.#.###.##.#......###..##....#
#.##.#.#...##....##..#####.#.#.#####..##..#####.#####.#.#.###....##.#.##.#.##..#.##..##.#.#....##..#.###..##.##..#.#.#..##.........#....#.##.#..##.##.#.#.#..##.....##.#.#.#....##..#.##.##..#.#.####.#.#.#.#.#...#.#.#...##########.##.##..##...##..#..#...#####.#...#####.##..##.#..#####.#.##.###.######.##.###.#.#.....#..#.#.#.##.#.#.#.##...##.#####.#.#...#####.#.#...####..#.#.#..#####..#.######.##.##..###.##..####.##.####.#.#.#.##.##.##..##.#########.....#.###.#.#.#.##.#####.#####..#.##.##.##.#.#..#.###.#####.#..#.#.#.##..#####.........#...#.#####.###.#.#####.####.#####........#...#######...##.#.##..#..##.#....#.#.....#.##.#####.#..#....##.##..##.#.##.##..##....##.###..#.#.....#####..###..#.####....##..........##..##.#.#.##.####..#..#...###.#.#.##.####........##....######.####...##.##..#...##.##.###..#####.###.#...#.#.#.####.##..###...###.#.....##....####.####.#..#......####.#.#...##.##.####
#..###.##.####.#.##.###.#..#.#...##..####.......#.#...###..#####.##.#.##.#####.#.##.##..#.#.##.##.##..#####.....##.#.#.######.####...####.##.##..###..###.#.##..##.##..#.#.####..##.#.#####.##.#.#....#####...##.######.#.....#...##.##..#.####.####...####....##.###.##.....##.#####...##..###..#.#....##.....#...#####.#.##.....#..#.#.#.#..#.#.#....##..#.##.##.#.###.##.###...##.###.##.##..##.#......##.###..##..##...##.#.......#.#.###...#..#.##.....#.########.###.#.#.###..#..#.##..##...##.##.##.#..#.##...##..#.#.###.####....##..#..#.#.#.##.##.###.###.#.#.#.#.###....##......######.#######..#########.#.#..###......##.....##.####........##.#.#.##...##.##.#.#...#.##..#.##....##...#.#####.##..###..##..##..##..######.#.###..##..#.#.##...######.##.##...#.###.....#.###.#.####.#..#...#######.###.#..##.#..#.####.##...##....#.##.######...##.###..########.#############.#.....#######.#.###....#.########....##
##.#....#...####.##.##..#.##.##.##..###.##.##.#.....#...#.##.....##.#.##...##..#.##..##.###..#..####.##.....##.###.#.#...###########.#....#####.#####.##..#.######..####.#....##.######......#.#.#.#.##.....#.##..##....#.#.#...#.#...#.##.##.#..##..#....##.###..#...####.###.....##.#.###...##...##.#.##.##.#######....###..#.#...##.###.######.##.#..##.#.##......##..##...##.###..##.##....##..######.##...#.###.##..###..#.###.#.#.###...#########.#.#......##.....##.###..##.#####.###.##.#..####..###.##.##.#####.....##..#.###.#..##...#########..#.##....#.#.........####.###.#.#.#.##....#.##.#.##.......#.###.##.##.#.######.#..###....#########.#.#..##.###..#.###.#.#..####..##.#..##.##.#.#.#.##.##.##.###.##.####......###..###..##.#.#..###...##...##.#..#.#..###.####...#####.#..##...####...##.#.###.##..#.##.......##.####.#####...##....###....##.#.##.#...#####....#.#....#.####...##.#######.##...###.###.#..#
##.##.#.#####.#...#.###...#...#.###.##......#####.###.#.#.##.#.#.####.###.###.##..##.##.##..###....######.#.##.#.#.#.##.##..##.......##.#..##...##.##..##.#..##....####..###.##......###.#.###.###.#..###.#.#..#.####.#.#.####.####.#.####.##...####.##.#.##.#.########.#...##.#.#.####.#...#..#.###..###..#...##...###.##...##.##.###..##......###..#.##..#.#..#.#.##..####.###...#.##..##.##..##.##.....##.###...#..##...########.#.#.##..#.......##..#.#.####.##.#.#.....###.#..........#######..#.#.##....#..#####...##.####.#.....####..#...#.#...####....##.....#.#.#####......#.###.#..#.##.#.........###.#.#...#.#.....#.###.####.#######.........#.#.#.##....##.#.##..#.##....#####.##..#.##........#..#..#..##.##....##.#.#...#.##...##..####..##.###..#.##.##.#.#.##......#########.##..######...#.##....##.##.##..#.#.#.#.#....##.##.########.###...#####......###.......##.....##.####.#.###......#######.##.#.#.###.##
#..##.#.##......###...###.##.##.#....##.##.##.....#...#.#.#..#.#.#.....##.#.#..#####.#..##.###..##....##..###....###.#...##....#.##.##..#.##..#.....##..###.##..##....##..##..##.#.###.###.##...##.##.##..#.#.####....#.#.##.#...##.####.#.#..#....###..####.#............#..###.#....#.#.#.#.##...#.##...####.#..#......##.##..##.#.##..##.##.#####.#####.#.##.#.#####..##..##..#.#.###.##.##.##########.##...#.####..##.##........###.##.##.#.###..##.###....#########.#.##.#.##.##.##.#......###...######.###..##...#..#...######.#..##..##.###.#.######.##..#.###########.##.##.####.....##.#....#.#.#.#..##.#.#.#.#.####.##.......#####.#.##.##.#.##.#####..#.##..#.#####.#.##.##.....#..#.##.###.########...#####...#.####..###.########..##....##.#..####.####.#..###..##.#.####.##.#.#.###...##.##.#######.##..##..##.#.#########.##..........##....###.###...##.#####.#.###..#.#.#.#####.#...###.#.#.##.....#.........##..#
##.####.##.##.#...#.###....#.##.##.#..###...#####.###.######.########.##....##...##..##.#..#.#####.####..####.##.##..########.##.#..##.##.#..###.#.##..##...##.##..######..#.###.#.##.......##.##..##.###.#.#....####.#.#....##.##.......#.##.#.#######..#.####.##.##.##.###...#.#.#.##.#.#.#..#.#.###..###.##.##.##.##.###.###.##....#.###..#.##....##.#..#..###.##.###..##.#..######....###..#..........##.#.#....#.##...##.#.##.####..#.##.#..##.###..###.#..#...##...#..#.###...#.##.#.######...#...##.....##.##.#.##.#.#.#......#.####.##............#.##.##..###.........#.##..#####.#.#####.#####.#.##.#############...#..#.#.#..........#.#..#.##....###.#..##.#.##.#..#..#.##.########..###.........##.#########.#....##..##.....##...##..#.##..##....#..##..##..##.###.#....#.........#######......##.######..#.##..####.##......####.#.#.#..#.##..##...##.##...#..#.#.##..##.#.#.....#...#...#.#.####.#.#.#.##.###.####.#
####....##.#..#.###...##.#.#.##.##.######.###.##..##....##.....###....###.#..#.#..#.###.##.......#....##.##...##.##.##........##.##.#..##.##..##.#..##..###..#####....##..#####..#..####.#.##..##.##..#...#.##.#.#....###.#.##..####.###.#.##.#..###..##...##....###...####..#.#.#.#..#.#.#.#.##.#...####.......#.#..#..##....####.####.##..####..##....#.###.#........#.##..##....###.#.###..##.#.#.#.##.##.###.#.#######.##.#.#..##...##.##.#.##....##..##.##...#.#..#.##....##.#.#.####......###.##.####.##..#..#.#..#.#.########.#.#..#..#.#.#.##.#.#####...##.....#.###.#.#####...##..#..##.......#.###......###.#.##..#.##.#.#.#######.##.####.#.##.#.##.####.##.###....##.#####........####...#.#.#.#######.#...##.#.#####.##..##.##..###..##..#####.#######..##..##....#.#.##...####.#.##.##.#..####..#...#.##.##..##.......##.#.#..##..###.####..#.####.###.####...##.#.##.##..#.##.####.####.##.#....#####....#.#####.####
######.######.#..##.###..#.#.#...#####....#......####.#..#######.####...#.#.##.##.#.#...##.###.#.#.#.##..####.##.##.#..#.##.#.####..##.#..##.##..##.#..##...###....##.###...##..##.##..###.###.#..###.#####..######.###...#..##..##....#.#.##.##.....#####.##.#.##...###....####.#.#.######.#..###.###..###.#.#########..#.####....#######.##....##..##.#..##.##.#.#.#.#..#####.####.#.#.##..##..#.#####...#####.#...#.#.######.##.#..#.##.##.#####.#..##.##..##.#####.#.##.##.##.#.#....#.##.#.#...##...##.#..#####.#.##.#..##......#.##...##.#.#..#.#....##.#..##.##########.....##.##..##.##..#.#.#########.##..#..#..####.#..#.#..#.#.#######....#.##.#......##.##.#...##..###.....##.##.#####.#.#.###.....#.#...#.##.#.....#####..########..####.###......##...##..####.#.#######.###.#####.......######...#...##..#.##..#.#.#..#.#.##..##...#...##.#####.#.##..#.##.###..###...##.###.......##########.#...##..#.##....##....#
##.###..##....#.##....##.#.####.##.....#########.#.#..##..##..........#.#.###...#.####.##...##.#.#.#..##...####################....##..#.###..##..###.####.##...##.##...###..##.##..#.##.....####..##.#.....###.#...##..#.#.########.#.#.#.#..##.#####......###.##.#.#...##....#.#.#...#.#####.##......##...###..#.##...##...#####.......#######..##..#.#.##..#..########.##......#..#.#####.########.#..#..##...##.##.#..##....#..#.##.##..#####...##.#..##.###.#.#.#.#.#...#..#.#.##.###.########.####..####....##.######.####.##.##.#..#.####.#.#############.#...........#.##.##...#####..#.##.#..#.##.#.#.#####.##.##.#####.#.##.......#...##.#.###..##.########..#.#.##.##...##.#########..###.#...##.##.....#####..#.#.#..##...###.##....###.###...#.#.#####.#..##....#....##...#.#.##.#..###.#.....##.###.###########.#.#.#.##.#.#..##..#.#.#..#..##......##....#...##..####..#...##.######.#.#.##.#######..##.#####....##.#
#......####.#.#.###.###..#..##..#..##.#######......##..##..##.###.##.#########.##...##.##.#..###########.#...##.#.###...##......#.######.##..####...###....##.#.#..##.#...#.##...####.##.#.#######.##.#.#.###.....#..##.###........#.#.#.#.##.##.....####.###...##.#.#.#..##.###.#.#.#....##....##.#.#.#..#..###......#..#####.#...#.#.#...#.##..##..##.#.##.###......##..###.#.#...##....####..........###.##.#.##......##..##########.##.####.###..#.##..#.#.......######.##.#######.###......##.....#.###...#####.....##...####...######...##.#..##.###.#.#.###.#################.#####...##.#..##........###.#.#...........#.#..##.####.#.###..#...##.#.....#..##.##.#..#..##.##.....##.#...###..#.########.##....#####.####..###......#.#.##.#.#...#.#.#.#.##..##.##.#.###.#.#..#......#...######.######...####.###.#.####.#.#.##.####.###.#.###.##.##..#.#.####.#.#.#..##..####.#####..................##....##......#.##.####
##.#.#.##...#.#.#.....####.#######.####...#.##.#.###..##..##..#...##..##....##..#####..##.##..#.#.#.###..#.#.##.......#....##.#.#.#.#.#...##...##.#..###.#..#.####..#.##.######.###......#.....#.#..###.#.#...##.##.###.#...##.#######.#.###..#..##.###.....#.#.######.#.##....###.#.#.##..##.###..###.#.###..######.###.......###.#.#.##.##.#..####..#.#..#.#...##.#.###...###.#.#.##.##...######.#.##.#.###..####.#.#.##..##...##.#.#.#........##.####..##.#.#.###..##.....#.....##....#.##.#.###.#.####...#.....##.##..##.##....#.#......#######.............##............#.##....##...####.#.##..###.##.........#.###.###.#.#.##...###....#####.####.#.#.#...########.#####..#..#.#..#...#...##.#....##.#####.##..##....#.##...##.#.#.###....#.#####.#.#...###.#...###.##..#.##.#.#.##...#.....##......##.###.#...#.....##.#.#..#.##....##.#..##..#.#..##.#...####.####..##.#.##.....##.#.##.#.#.###.#.####.#..##.###.#..#....#
#..#.#.#..#.#.#.#.#.#.#.....#.###..#....#....###...##..##.#..####.###..#.######....###..#####.........##.#.#####.#.#.###.#.#..#####.....###..#.##.##...###.#####.##.###..#.#.##...###.##.#.##.##...##...###.#.#..#..#.#.###..#......##.#...##.##.##...###.#######.#.#..#.#..##...#.#.#####.##..###..##.#.#.####.##...##..#.#.#######.#..#.##...##..#.#####.#.##.#####...#.#.##..#.#..#.###.##......###....##..##....###..##.#..#........##.###.####....##.####.#...##.##.##.#####.####.#.#..#.#..##.#..##..#.#.#.#.#..##.###..######.#.####.###.##..#.#.##.####..#.##.#####.#.#.##.####..#....#.#.###.######.##.###.##.##....#.#.#.##.#...#.##..#.#####.###.###.###.##.##....#.##.#.##.##...###########.#......##..###..##.#....#.#..#.#.#..##.####.##....#.#.#...###.####...##.#..#.#.#..##.###.#.##..#.#.###.......#...########.##.###..##..#.##..##.#.##..###.#..##.....####.....#.#.###..########...########.#.##....#.##.#.#.##
#.##.#.#.##.###.#.###.##.#.##.....#####.##.#.....#####..######.#....##....##.###.###...###.##.##.#.#####.###.....###.#...#.#####.######.#.#.##.##.##.###...##.........##......#.####..##.#..#.##.#..###############.#.####..##.##.######.#.#..##.#..#.##...##.........##.#.####.##.#.....#.###...#.#####.#..#.#....#..##.#.#......##.####.##.#####......##.#.##.#.#...#.#####..##.##.#...######.#######.#.##.######..###..#.##.###.#.#.##...##....##.###..#.##.##.##..##.#..#...#...##.#.##.#.#.#####.####.#.#.#.#.#.###.##..##......#.##........##.#.#.##..#.######......#.#...####....##.#.##.#.#...#.##.####...#.##..##.#####.#..####.##..#.##.#.#...#####...##......##.#....###.##.###.###.#.#.##.###.##.###..##.##..#.#.######.##.###.###.......##.#.#.#.#.#.#......##.###.##.#.#.#.##..#.###..##.#####...#.##.####........####.###.###.##.##.##..#..##.###.##..##.##....##.##.#.#...##.....##...####.#.##..#..##.###.#..######
#..###.#..#.##..#..##.#..#..##.#.##......###.#.#...#.##...###....#.##..##......#..##.#.##......###.###.#####.#.#.#...###.#.##.....#.......###..##.##..##.#..##.#.##.#.##.##.#.#.#..#.#####.##..#.##..####..............#.##.####..##.#######.##..#.##.###.#####.#####..#.#..##..##.#.#.#####.##.##.....#.##.....##.##.#..#.#.#.####.....#.#.....###.##.##..#.#....##.##....###.##..###.###....####......#.#..##..###...#.#####.###.#.#.##.#..#.#####...####....##.######.##...#.#.###..#..#.###...###..##..###.#.#.#.##...##..######.######.###.###.#.#####....##.###.##.##.#.#....##.###..#.##.#####.........##.######.##...######.###...#.##........###...#.#....##.#.##.#.#.##...##..##..............#.#....##.....#.##.#..##.##..###.....###.#.#..###.#.#.#.#.#.#.##.##.##...#.#.#.#####.....##.#..##..##.##.##...##.#.###.##......#.#...##..#.###.##.#....#..##..####.####...#.#.##.#####.######.###....##.##.##..######....#.#
#.###..##.#####.##..#.##.#.#####..###.#.##...#.#.###....###...#.##..##.#..#######.##.#.#####.#.##.......##.###.#.#.#.#...#..###.#...##.##...##..#.##.###.##..#####..#..#..###.#.##.....##...####.#..##....###.####.#.###......###..........###..##..#.#.....#.#.#.....##.#.##..###.###...##.....##.#######..##.###.#####.#.###....##.######.#####...##.##.##.#.#.###..#.##...####.####...##.#......#.##.#.#.####.....#####.....#...###.##.#.##.....#.#..##..#.##.......#.#..#.###...##.#.##...##.##...####.##..#########.######.####.##.#....####...#.....#.##.....##.#########.##.#..##..##.##.###...#.#.##.###....#.#.##.#.....##.#...#.#####.##.##.#.#.#####.##..###..#.#.######.##.###.########.###.#.##.####.#.#.#..####.....#####..##.##...###.######.#.#.#.###.####..###.##.#.#..##...#.####.##....#########.#..#.#...#.##.##.######.######..#####.##.###.##..##.......##.####.##..#.##...##.......#.#####...##...##.#.##...#
###.########.#..##.####..###.....####.#..##.####.#...#.##...#.###..###.##.......#.##.###.....#.###.####....##..#.#.#####.#.######.#..#.##.#.##.####..#....##.#.....##.###...#######.#.####.###.#######.########....#...#.##.#.#.##.##.##.#.#######.#######.##...#.#.#..###..#.##.....#.#.##.###.##.####.#..##..#....##...#.#...##.##...#.##..#..#.#.##.##.##.#.#.##..##..##.##.......#.##########.##.#..#.#.##...#.#.....#####.##.##....###..##.##.####.#..##.#..#.###.####.####..#..#.####.#..#####.##.....##.....##.#..##...........#.##.#...###.##.##.##..##.##..#...#.##.########.#..###.##...###.#.#..#...#.##...#.##.###.########.####..#..#..#........##..##..##.##.#...##...##.##.........#...#.#.#.....###.#.##..#######.....#.########..##.....##.#####.##....###..##.#..#.#.####.##....#..##.#...##.###..#.####.######.##...##...##.##..##.##..#..#...##.##..#.#.#.#######.###....#######.#.#.####.####.##..#....#.###.##
###............###...##.##...##.##....##.##....#.#.#.#..##.##.#...##.#.##.#.#.###.#..##..#.#.###......#.#.###.########...###......##.###..####...##.##.#.##..####.##....#.#..#.#.#..#.#.#..#....#.#....#.....#######.#.#.#..#....###...#.###..###....#.#....#.#.###.#.##...#####.#.#.#.#..#.#....#......##.#..###.###..###.#.#.#####.#....##...######...###..#####..######..###.#.#.##.###.#.##.#.##.##.###..##.##.##.#.##.....##..####..##.##..##....#.##.##.#.##...###.......##.####....#######.....####.####.####....##..#.##.#.##.#....#.#...#..#.######..#..#.##.#.......##..##..##...###..#.##..#.#.##.#.#..#.######...#....##.........######.#.#.##.#####..##..#.#..#.###..#..#.##.####.##.#.#########.####..#..##..#.##########.##.#.#...##..#.#..###......##.#.#.##.##.##.#.#..##...#.#######..#.###..#.####..##.....##..##.#..###.....##..#.#####.####.##..##.#.#.#.....#.#...##.#......######...#.....#######.######...##
#...##.#.##.#.##...####.#..#..###..#.#####..##########.#####..###....###..#.#...#.##..##.#.#...##.##.####.##....##.....#...###.#.##..####....#.#.####..#..##.##....###.##.##.....##.###.##...##...##.#.###.#..######.#.#.##.#.##..###.##..###...#.##...##.#####.##..#..#.#.....###.#.###.##.##.#.###.####..##.##....##.##..#.#.....###.#.####.##.#.####.####.##....##.###..##...#.#.####..........##.##.##..###..###..#..###.#.#..##....#######.##.####..###..#.#..#...####.####...##..#.###.##.##.##...#####.....##.##.#####.##.#.#..##.#.#.#.###.##.....#####.##..#.#.#.#.#....####.#..#..##.####..##.#..#.####.#..##....###########.##.##....#.#####..#...##..###.#####.#..##.##.#####....############........##.#.####.#..........###....##.######.##..##.###.##..#...##.##.##.###.##..#.#......###.###.#.##.#.#######.######.#####.##..#.#####......##.#....##.#####.####.##...##.##..#.##.#...#.#..#.#.###....##.....#.##.#..#
#.#.#########.####....###.######..#####.###...##...........##.##..##.##..####.#####..#######.#######.####.###.########.#####...#####....##.###.###.###.#.##..#..##.##...#.###.##.#####.....#..##.###.#.#...##........#.#.#..#.###...#.##.##...#....######..#.#..#..##.####.######..#.##..####..#.###...#####..##.#.##...##.###.#.#..##.#.####........##...##.###.#......##..#.#.#.#..###.####.#.#.##.######.#.#.#######.###############....####.##....####...##.##.#.####......##.######........##.#..#...##..###.##..###.###.####.##.##.#.#.#...#..###.###.######.####.#.###.##...##.#.##.##...##..##..##.####.####.###.#........##...##..#.##....#.######.####...#...##..####..##..###..##.....#.##.#.###.#.####..###......#.######...##.#.......###..#.#####...##.###.#####..#....#.###.#.#.###.##..............#...#.###.#.#...##.#.#..##....###.#####..####..#..##.....##..#.#..#######.####.#...#.##...#.#.##.#..#.#....###.##
#####............##.#...###......##.#.......#..#.####.##.###..###.##.###....#.....####.##.##.##.......#.#.#....##......#.....#.##....#.##...##..##..##.########.#...##.##.#...####.#...#.#.#.###.#.#.####.####.##.#.##.#.##.#...#.########..####.#......#.##...##.##...##.......##.###..##....####...#..#####..###..######...#.#.#.##..#..##..#####.##..#..###...#.#.#.##..####.#.#.##...#....#.###..#........#.##......##..##..........##..##...#.##....###.##.#..#.#....#.##.##...###########..####.#.#..##...#..#.###..#...#.##.##.##.#.####.##.##.....#...##.###..###...#..###..#.###..##.###..##..##........##....#.#.##.#.######.##.##.##.##.....#..#....##.########....##.#..##...##..#.#........##..#....##...###.##.#.....###.##..##.#.##...#.##...##..#..###....#####.##.#.###...#.#...#..#.#.#.##.#.#####.###.##....###....#.#.###.####.#.#.####.##...######.#.#.##.####.###...##...#####.##.##.#...#######.#.#.##..#####
#..###.#####.#.#..#.#.###...#.####....##.##.#.######..##...##.#...##..###.#.#.#.#..##.........##.#.##.#.####.#..##.#.###.##.##.###.#.######..##....###..##......#.###...#.#.#.#.##...#.#.#.###.#.#.####.#.##....###..#.######.###..#.##.##.###.#.##.#####..##.###..##.###.#.###.##..##.######.#.#..###.##.....##...##......#.#.#.#..##.#.####....##.#..##.######.#.#.#.###.#.#..#.#..##.####.##...##.##.##.####.##.##.#....###.##.#.#.#..#.##..#.######.##....#.#.##.#.##.####.#..#...........##.##...###.##..#.#.####.##...###.....#.####....#..#.####.###.###...#..##...#.#.##...##...##..#.#...####..###.#.#.####.###.#..#.#...##....#.##..#.##.###...###.###......##.#.#####.##..##.###.##.#.#########.###.#.##.#...#.##.###.###.#.###.##.#..##.##..##.####.##..###.#..#.##.#..#...###.#.##.##.##.#.#.##.#..............##.#...##.###...###...........#.#..###......#.#.##..##......#.##.#....##.##.#####.###..#.###.#..##.....#
##.....##....#.#.##.#.##..#.########.#####..#..##....##..#.####.#.###..##.#.#.###.#####.##.####..#.##.....##.##.#######..#..#..#...#...##...##..##.##..##########...##.####.###.####.#.#.#.....#.#..#.#.#..##.#.#...######....####....#.##.##....##.##.#####..#...##....#.#...###..###.#.#......#.###..#..#.#..###.####.##.#####.#####.###....#.##..#.######.....#.###.#.#...##.#.#.##...##...##.########.....#.##.##.#.##...#.######.##.#####.#..##.#######.##.#########....####.###.##.##.#########...#..##.###.##......#.#...##.####.#..##.######............#...####.####.##.#.####.##.#####.###.##.#...#.#....#..####.####.###..#.######.#.##...#.#######.##.##.###.......####.##..##...#.#.........###.#.#.##.##.##..#...#.....###....#.####...##..#.#.##..##..##.##....####.#.###...#..#.##.##.#.#..#.#.#.#.#.##.##########.##..##.#.##..#.##.#.####.##...#.#.#.##.#..#.###.#.#.##.##.##.#..#..#...##..#.##.#..##.#.#########
#####.####.#.###.##.#.#..#####.......#.....##.###.##.###.###....#...#.###.#.#.######.##.#....########.#####...#.#.#.#.##.##.#.##.#.##.###.#..##..#..##.##...##.##.#.##..##..##...##..###.#.#.######.......#####.#.#......####...##.#.##.##.#..##.##........##.#.#..#.#.##.#.###...##.....##.#.#.#...##.#.##.#.###...######....##.....#...#.#.##.##.##..##....##.##...#.#...####.#.#..##.##..#..#.##.##.####.#####..#..#..##.##.#......##....##.##......#.##...###...#.....#.###.....#..#.##..#..#.#...######..#....#####.##.##.###.##.....##.......#.#.#.#.#.##.#.#....#.#..#.##.#...####....##..#.#..###.#####.#.#####.##.##.....#.##.#.######.###.##....#.##.#####.##..#.#.###....#..####.#####.##########...#..#.##.###.#.#############.##..##..#.#####....#.##..###..##.#.##...#...#.#.####..#.##.#.#.####.#.#.#..#.......#.##..##.##.#..##.#..###....#####.####.#.#####.#...#.#.#..###...#.##.##.##.####...##...##..###...###.#
#......#.#.#..##..######.##....####.##.#.#..#.#...#...##.##..####.#.###.#####...##......##.#..##..........##.####........#..###..#..#...####.##.###.#..##.#.......#..#.##..#####....##...#.#....#.###.#.#...##..#.##.#####....###..###...###.##..#..###.##.#..###.####..###...#.#..###.#.####.#.#.###..#..###.#...#.#......######.#.###.#######..#.#..#####.##..##.#.###.#....#.#.#.##..#####.##.#..............##.##.#.##..#..###.#.##..##.##..######....#.#...#.#...#.#.#...###.#.##.#..##...##...#....#.#####.#####....####.#...##.##.####.###.####.#.#.#..###.####.#...##..#.#.#....#.#.####.....##......##.#.#.#....####.#.#####.....##.####....##.#..........#..##.#.#...####.#.###....##............###.#.##.##..##.#...##.#.##.#.#.##.###.##..#####.######.##.#.###.#..##.##.###.#....##.###..###.#.##.#.#######.##.#....##..###..##.##.##...##.###.......##.#..##...##.##.####...##.##.##..#.##..##..#..##.#######..###.#.#
##.##.##...##.##.###.#.#######.#....##.#.##.#.###.#.#..##########.#......##...#.##.##.#..####..#.##.#.#.###...######.###.##.##..###.#.#.##...##...####.##.#######.#.##..##.#.....##.###.##.#.####.#####.#.#.#..####....####.#..###..##.#########.##..##.#######.....##.##...#.####..##.###....#.#...##.#.####.#.###.##.#.#..##....#.#.###.#.....##.##...#.#..##.##.####..#.######.#.###.#......###.#.###.#.#.#.##..##.#.##.###.##..#####.##..##......#.#.####.#.#####.###.#.####..#..#.#.##..#..##.##.##.....##..###...#.###...##.##..##.##....#####...#.#.##..##....#.##.######.#.##.#####.#.#..#.###..#.####..#.....##.##.###...##..#.#.......##.######.##.##.#.##.##..####.#######.#.###.##..#.##.#######.#.#.##..##.##.#.###.........######.#..##.....#...##......#.#...##..###....#.#.############......#.#.......#..####.#####...##..###...##.###..#####.#.##..##.##.#.##.##..#.#####...#.##.####..####.##........#.#.##.#...#
#...######.##.##.......##.######.##.##.#.#..####..####..#.#.#.....#.#.######.##.##.##.######..####..#.#...#####.#......#.#..#..##...#.#..##.##..#..##..##.##......#..##.##.###.#.#...##..###......#.##..#.####...###.#....####..###........##.#..#..###.#.#.######.##...#.#.#.#....##...##.#.##.#.#..###.##...#.##..#..#.#.######.#.......#.##.#######.##.#.##..##.##...##......#.#.#...##.#.#.##..###...#####..##..#.#.##.#....##.##.#...##..##.##.##.#....###...##..###.#....#.##.####..##.##.#..##.##.#.#####.#...#.###.##.##..######..##.#...#.###.#.#..#.####.###..#.....##.#..#...##....##.#.####.#....##.##.##..#.....##.#.##.####.#.#.#.#......##..#.######...##.###.......##....##..##.###..........#####..#####..#.....####.##..##......###.###.##.##..##.#.#.###..#.##...#.####....#.#..#####.##.####.####.#######...#.###.###.####.#.##...####.....#..#.##..##.#..#####....###..#.###.....##.#..#.##.#.####..........#.#
#.####.....##.##.#.#.###..#......#..##.#.##..##..##....##.....#.#.###...##...##.##.#...##....##....##.#####...#.###.#.#####.##..###.#.####...##.#.##..###########.##########.#.####.##..##...#.####....##.##...###...#.#.##....##...#.#.#####...##.###....#.#.##....##.##.#.#.#.#.##..#..###.##.#.####....###.#.#..##.####..##....#.#.#######......##.....###..###.##.#.##.##########.#.#..###..##.#####..##...####.#.#..#.###.##.....#.#.#..##..########.#####.#..##.#...#.#.##..#...##.###..#.##..#.##.#....##.#.#.#.##.....###..##....##..#.#.....###.#.##....#..######.#.##..#.###.##..##..#.#.#.##.#.##.##.##..##.##.##..#.#.####....#####.#.#.#.##..####.#.####.##.#...#.###.###.#..##.##.###.##.#.#.#..#.###..#..##.###.#....###########.#.#.....#.##.###.#..######..##.###.##.#.#..##.....##..#...###.#...#####.#.#.##.##.#.####.....#.###..#....###.####.#..##.##.##...##..####.####...##.#.######....###...##.##.#.#.#####
#.##...##.###.#..#.#..###.#.####.##..#.###..####..##.#.#####.##.#...#.####.#..#.##.##.#####.####.#.#..#######.......#..##.####.###..#..##..#.####.#####...........##..#####....###..##.###.###.#####.######..#..##.#.#.#..##.#.##.#.#.#...#.##.##....##.#......###.##..##.#.###.#####.#.##....###..####.#..##.####.##...###..##.#.#.#.....###.###.##..###...##...#.#..#.##.........####.##.##..#####.....#####.#.##.###.####....###.###.###.####.....##.#.....#.#.###.#.#.#.#.##.##.####...#.##.#..##..#.#.#####.###.#.##.#.#.#.#.######.###.#.#.#.#######.##.#.##.##.##.#####..##...#####..#.######....#.##..#..##..#..#.###.#.#....##.#.....#.###.#######.##......#.#..#.#.#...#..##.#.#####....######.####.....##...##..#####.#.###........#####.##.####...##.##...##...#####....###...####.#.####...#.....##.##.###.....##....#.##.###.########.#.####...##...##.##.##..##.####..##.....########....##..#.##...#..#..#.#.#.....#
########....#.##.#.##.#.....#######.##.#...###.####..#...##...#.##.##....###.##.#..#..#..##..##..####.......####.##.####.........##.#.######..##......####.#.#.##..##.#.##..#.##...#####...###....##..##....###..###.###.#####..#.#.####.##.....###.##..##.#.#.##...##..###.##...##...#.####.###..##....#.##..#....##.#.#...##..#.#.###.###.....#..##...#.###..###.##.#..##.#.######....##..##.##....#####.......##..##...###.###.....#.#....##..#.#....############..#.###.#..#.##..#.##.##.##.#.##..##.#.##....##..######.#.#...##......##.#.#.#.....########..#.##.......###.##.#...####.#...#.###.#.#.###.##.##.##.##..#######.######.#######....##.###....#.#.##.#.####.#.####..###..##...#.####..####.#.#.#.###.####.....###.....######.#.....##.#.###.##...##.##..#...###.##...###.#.####...##.#.#.######........#########...#...##...###....#..#####.###.##..##.##.##...#.##....##.###..#.#######..#######.####.##.#.##.#.##
##.......#.#####.###..#.##.##........#.#.#.##.......##.#..##.##.##.##.##..####..#####...####..##.#....##.#.##....##....##.##.#.###..#..##....####.##.##....#.#.###......##.##.#..#.##....#...##.###..######.#...###...##.##....##.#....#..####.###...##.####.#####.####..##.##.#..##.##..##..##..######.#.######.##########..##.#.#.#...###.#.###.###.###...#.##...#..#.##..#....###.##..#.##..###.#.#.....###.#.##.##..#.#...####.####.##.#.###.#####.####.###..#.##.#..##.#.##..##...##.###########.##.#.##.#.####.#......#.##.##..###.##..#.###.###....##.#####....#.#.#...#..#.###..##..#.#....##.#.#.#...#####.##.###...#.##.......#.......####......#.####.###..#.#....####...####.##..#.#......####..#.#####....##..#.#..##.#.#.....########.##....##.##.#.#...#.###.##...##.####.......##.##..#.#......##.##.#.#####....##.##.###..###.#.##.##...##....#.###.####..###.##....##..#.#...##.......##..###.#.....#.#..###..#..#
#..#.###.#...##...##.####...#######.####.#.##.#.###..#.##.##..###..##..####.######....#.#.##.##..#.##.####..#.#.####.#########...#.##.##..##....#..#######.#.#.#...#######..####.#..#.#.###.##....##.##.....#.#.#.##.######.#.###.#.##.#.##......#.#.#.....#....##.##.#.##..####.###.###.###..##..##....#..##.....#.###.....##..#.#####...###.#####....##.###.#..#.##.#.#..##.##...####.##..##.#...#.#.###.##..#..###..####.#.#......#####.###.....##.........##......##.##.#..##..##.###...........###..#..###.##.#.##.#.#.#.##..##.#....##.#..##...#.##........##.###.#.##.###.#...##.###.#.#.#.##..###.###.....#.##...#.#....##.#.##.####.##.#....##.#......#############....#.#....#####.#.#.##.#......##.....###.####.###.###.#.#.#.###.#.##...##.##.##.##.####.##.#....##.###..#.##.#.#.###..##.#.##.#.#.#...#.#.......#####......##.....#.##.##.#.###.###...#....##..##..####..#.##...#....#.######.##.....##.#####..##.##.##
#.######.##.####.###.#....###........##..#.#..#.#...####...##...##..##..#.....##...####...##.###.###.....##.###.#.#..#.#.#.##..######.#..####.#.#.###.#.##########.......####....#.####...#..#.##.#...####.##.###.........#.#.#...#.####..####.###.#.##.####.#.#####.....##..###.#.#...###...####.#..#.##.##..##.##.....##.##..##.##....#..##...#####.##...##.##.#.#..#.#.##..##.#..##...#####.###.#####....##.##...##.#.######.#.##.....#.##..#.###..#.#.#.###..#.#.##...###.####.##...##.#.###.##..##.##.###..##...#..#####..##..#.#.##..#.#.###.#.#.##.###.#.##....############.######...#.###.######...##.##.#####.##########..#..#.##....######..####.#.#..##.#.##......##.#.##.#....######..#.##.##.###.#####.....##.##....#.#.#.#..##...##.#..#.########..##...#.#.#.##....##....#.#.#...#.#####.##.###.##.####.#.#.#####.#####.####.#.##.##.#..###.....###.##.#.##.#######...##.##.#.######....##...#.#.#.##...##..##...####
#.#.#.....###..#...####.#.#####.#.#.##..##.##.#.#.#..####.##..#..##..##...##.##..###....####...#.####.##.##.##....#.##........###.#...##...##.#.#.##........#.#.#..#.#.#....##.#.#.##...###.############....####..##.#.#.##.####.##....#.##....###.#.#....##.####.####.#..####...#...###...#...##.#.##.######.#...###.#.##..#.##..###.###.#######.#.#.##.#########.##.#.#.##.######..#.#.....###...##.##.#.##...#.#.##.#..##.##.#.######.#####.#...##.#.###...######.####...#...##.#..###..#...#..########.#.##.#..#.##.###...####.#.#####.#.#.#.#####.#....#######.#..#.#.##.#.##.....####.#...#...###..####.##.#.##....##.###.##.#.#####.##..#..##.###...#.##..#.#.####.##..#.#.##.##.#.#......##..#.##...#.###.############.#####.#.##....#.##.##.#........####..#.###.#..##.#.##.##.#.#.#######.##...#..##.##..#####.#...#.#.#######.#############...##.#.###...#.#.##...##.#..#.##..#.#......##.######.#.#.###..#.##.####.###.#
#.#...#.#...##...#..##..###.....###..##.#####.#.#.##...##..##.##..##..##.##...##.##..##..#.#######....##.##.##.#.######.####.###....#####.##..#.#.#..##.#.#.......##.#.#.#.###.#.#.##.#..##......##.#.#..##.#....##..###.##...######.#.#.#..##...#.#####.##........##..##..####.##.#.#####.#.####.####....#####.#..##.#..##.#..##..##.##.....#.#....#.##..##.#......###.#.##...##...##.#.###.#...#.#..##.#..##.####..####.......#......#....#####.###.###...###..##..#....#.#.#######..###.#.####......##..#....#.##.#..#...#..##..#..#.#..###.......#.##.#.......#.##...........##.##...##.##.####...##.###..##....#.##........##.###.#.#####...###...##.##.###......###.##.####.##.##.####.##.###.##.##.#.#..........##.####....##.#.####.##..#.##.#.#.#.########.#...###.#####.##.##.#.#......#...##.##.###..##....##.#.#...............#.#.##.##...###..#...##.##.#..##.##....##..#.#######.#.#.....##..#.#.##..##.##..##......#
#.##.##.#.#..#.#.##..##.##..#.#.#...##..#.....#.#..##.##..##...##.#..##...##.##..#..####.......##..##.##..#.##.#..##....##.....#.##..##....##.#.#.##.#..#.#.#.##.##..#.#.#.#...#.#..#.##.##.#.##.##.....##..##.#..##.##...#.#.....##.#.#.#.####.##....##..##.#.##.####..##...##.#..#.....#.#....#.#....##..##...#.##..#.##..#.##..##..##.#.#.....#.##..##....##.#.#..##.#.##.#.##.#..#.#...#.##.##.##....#.##.....#.##....#.#.#.#.#.##.##.#.#.......#...#.#.....####.#.#.##.#.......##...#.#....##.#.#..##.##.#.#..#.##.#.#.##..##.##.#...##...#.#.#.#.#..#.#.#.#.#..#.#.##.#.#.##...#.#.#...#....##.##....##.##.##.#..##.#.#.#.##.........##..#...#.#.##.##...#.##.#...#.#....##.#..##..##..#....#.#..#..#.##.##.#.##.....##..##..#.#...##..##.#..#.#.#.#........#.#.#.#....##....#..#.#.#.##.#...#.#..##...#.##..#.##..#.#.#.#.##.#.#.##.........#.#...#.##.#..#..#.#.##...##.#..##.#.......#.#.##.#.##..##.#..##..#..#.##..#.#.##
#################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################.E#

#S####################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################
#......#...#.##..##..##.##.....#.####.#.#.##..#..##.#.#...#.#.#.##.....#.#.#...##.#......#.#.##..##...#.#.#.#.#.##...##.##...##.#..#.....#.#..#....##...#.#.#.#....##.......##..##..##.#.#...#.##.#.#...#.#......#.##..##.#...#.##..#.##.#.........##.###.#..##.##.#.#....#..#....##.#.##.##...#.#.##.##..##.#.##.##.##.##..##.#.#..##.##.#.#.......#.#..##.#.#.##..#.#.......#.........#.##.#.#.#.#.........#.#....#.#..#.#..#....##..##.#..##.##.#..#..#.#.#.....##.##.##.#.##..#.##.##.#.#.#.#...#.##..#.##.....#.#.##....##.....##.##.....#.#.#..#.#.##...#.#.##...#........#.#.##..#.#..#.##......#.##.##....#.......#.#.#.#...#.#.##...#.#.##.##.##.#..........#..##....##.#.#..##.#.#..##.##.#.#.##.##..##.#......#.#..##..#.#.#..##..##...#.####.#.#.#..##...##.#.#..##.##.#.....##.#....#...#.#.#...##...##..##.#....#.#..##.#.#..##...##..#.#.#.#...##.#.##.#....#.#..#.#.#..#..#.#.#....#.#.....##.......##..#.#.#.##...#.#.#..#.##.##.##....##.##.#..#.#.#.##...##.#.##.##
#.#.##...#.#..##.##.##..######.#..##....#..##.##......###.#.#.#..#.###.#.#.###.##.#.######.#.#..##..#.#.#.#......##.##..####.##.##.#####.#.##.###.#####.#.#.#.####.#####.##..##.#..###.#.###...#......#...######...###..#.###.#..##........#######.....#....##..##.#.####.##.##.#.#..#.....#.###.........###.#.#...#..#.##.##....##....#....#######...##..#.#....##...#.#####.#########.#.#..#...#.########.##.##.###.##...##...####..##..#.##...#.##.#.##.#.#####..#..#.#....###......##.........###..##.#..#####.#.#.#####.#..#.#.....##.#.##.....##....##.##.#..###.##.#.#.#........##.##....##.###...##..####.#####.###.......###.#..###.#.#.#...#.#..######.#.###.##..####..#.#.##....#.###.##...#....##.###.#####.##.##.##.##.#.##.##.###.###..##......#.###.####.#...##..##.####.###.####.###.......#.##.###..##..##.#.....##..#...##..#..##.#...#.###.......#.#.####.##.#...##.##.#.#.####.#.###.#.#..#####.##.##......###.#.#.#.##.....#.#####.....#.##........##.##.....#..#
##########.#.##..##.###..##.##.#.##..##...###.#######.#.........####.#.#.#.##.......##.##....##..#.####.#.#####.##...##..#.#.......##....#.#..#.....##........##.....#######.##.##.#.#.#.#.###.#.#.#.###.##.#.####...##.#.#.#.##..##########.......###.####.###..............#..####.#####.....####.#.##.##..#.###.#.##..#.#####.#####.####.###...#.#..##.#.#.####..#####.#.#.#.#..###....##.###.#..##.........##...#.##.######..##..####......###......##.#..#..##...##.####..##.####.########.####..##..#.##.##.......##.....#######.#####..#.##.###.##.##.##.##..##....#####.####.#.......#######.##.####.##.#.#.##....##.#.##..##...##.#.#.#.##.##.##.##.....####...##.#..##.#.#.#####...#.#..#.#.####.#..#.#.##.......##.##.##......##.##..#.##.#####.###.#.#..##..#.#####..#.###..#.#.###..##..#.###.#.#..#.##..##..#.##.##..##.#.#######.##..###.#.##..##.####.#..###.##.#.####.........##.....####.#.##.#####...##.#####.#...#.#.#..#####..##.####.##.###.#######...#####.#.##
#..#.#.##....###....#.##.##..#.#..##.#..###.............#.#.#.#..##........####.###.#...####.###....##..#.#..##.####.##.##.#######.##.##...##.###.#####.####.######.##.##....#...........#..##.#.#####.............#..........###.##...##..######.##........#.###.##.#######...###...##.###.####.#######..##.#.##....#..##.#........#..#....#.###.####....#.#..##..##.##........##.#.###.##..#.#...#####.#####.##.###.#..##.##..##..###...#.##.#.###.##..#.##.##....###..##.#.##..#.####.#####..##.#.##..##.##..#.####.#####.#..##........##.#####.#.####.##....##.###############.######.##..#.###.....#.#...#...#.#..##########.#####.#......#.#..#.....######..#.##.##..#.###.#...#.#.###.#.#.####.##.#...##....#######.##..#.##.##.#....###....#.#.##..##..#.#.####....#.###.#.#.##.#.#.#.##..####.########....##..##.########.##....#.##....#.###.....##.#...#.#.#.##...#.....#.####.###.######.##.##........####.###.##.##.##.##.....##..###....##.#.##..#......#.##.##.#......#
##.#....####..#####.#.#...##...##.#####...##.##.#.##############..####.#####....#...#.###..#...####..##.#.##.........##.##.#........####.#.....#......####.#..#.#.#....#####.###########.#.##..####.####.#.#.#####.##.#.#####.#.#.###.##..##.#..#######.###.#..##.#####.#.####.#.###.#..#....#.#.#..###..##..#.#####.##..#.###.####.##.####........#.####.....####.##.########.##..#.#.#.###.....#..#.#..#......#.#.#...##...##..##.#.##.#####.#.#.#..##.#.##..####..###.##...###.#.#.##.....##.......##.#...##.###.#......####.#######.###...##.#.#.##.#..####.##.##.#..##.#.#.....##..#####.#..#..###...###.###.....###.##..#.#..##.#.####.#...##.#####.#.##...##.#..###.#.##..##.##.#.#.....#..##.......#.#..#####......##.##..#######.#..#..####.#.#..####.#.#.#####.###...................##.#.#.....#.##..#####.##...#######.#####.#..##.###.#.####.#######.#......###...#####.##.#####.#.####.......####.###..#.#.#.##.##....###.#.####.#.###.##..#..##.##.#####.#..##...######
#..###.##.##.##.##..#.###..###.##..##.#.############.###.##..#.#.###...#...########.#...##.##.##.#..##....##.#.#####.##.##.##.#.###..##..#####.#.####.#......##...##.#.....#.#.##.###....#.###.##.#..##..#################.........#..###.##.##..#.#.#####....#####.##.........#.##..##...##.#.#.#.##...####.#.#.#.#.##.##.#.####...........######.#.###..###..##..#...##.......##.#.......########.#.#########.#.....###..#####.##....#.#.........####..#....##.###...#..###.....#....####.###.#.#####..##.##..##..######.##.###.##....#.##.##....#.#....####...#.##...##....#####..##.##.#..##.#####..#.#.#.#.#####...#..##...#.##.........#####..##.#..#.####..#.#.##......##.#..##...##.####.########.#####.#...#.####.##.##.##...######...####..#.##.#.#.......##.#...###########.#.#####....#.###.###..##.##....####..##.##..#.##....##...##.#.##...#.###.....####...##.####.#.##.##.........#######.#.####...##...#.....###.##...###.#..#.##...##...##.....##.##...##..#......#
##..............###....###...#....##....#.#.##.#.##.......##.#.....###.#.###..###.#...####.##.#..##..####.#######.......#...########.#####.#.......######.##.##.#....#.#.#............##....##.#....##..###.##....#.##.#...#.#.###...##.......##.#...#.#.##.#.#.##...####.####.#.###..######.......####.#.##.#.#.#.#.#..##.#.##.##########.####......#.##.###.####.#.#########.###.####.####...##.......#.........########.#.##..###.############.###.##.####..#.#.###...##.##.##...##..##..##..#####.##.#...##..##........#...##....##.......####...####..#.###....###..####.##....##..#..##......##..##.......##....###.#####...###.#.##.#.##.#..##..##.#..##..##.#..####.####.#.#####......##..##.##....###....#####.#..##.#...###..#.#.#.####.##.#.##.#.####.####..#.###.##.#...#######.#####...#...##..##...#.####.#..##..###....#.#######.##.#.##.#...#.##.####..##.##..#..#.#.#...#####.###.#.#..##.#...#..######.#.#####.#.####..##.#.##.#..######..####.##..####.#..#########
##.#.##########.#.##.#...###.####..####.#...##....######.##..###.#.......#.#.##.....#..##..##...####..##....##..#.#.###.##.##..#.....#.##..###.###.#.##.####.##############.##.#####.#####.##..##.#..#.##...#####.#.##.##########..#....####.##..###.....####.#.####.#..######.#.#.##.#.##.#####.###.......#.#.#.#.#...##....##.#.....##.###....####...####.#........##.##.#...##...#...#..###..#.#####.#########..#.##.##.#.###..##.#.##.##.#....##..#..#..#.##.#...###.##.##.####..#.####..##..##....#.###.##.##########.###..####.##.#.#.#...####.##...##.##..##.##..##.....##.#..##...##..##.#..#########.#..####.##...##.###.#.########....##..##.##.#.##..###.#.##.##.##.#.....##..###.###.##...###.##...#####.#..##.##.##.##.##.#.#.#..#.#....#.#.....##.....##.#..##..#.##.##.#.#.#.#.#.###.###..##..##.##..#.#.##.###.#.#.##.#.##.##...#.....#.##.##.##.#..##..#.###.#.##.#.###.##.##.#.....#.##..##.##.##..........##..#.#..##......##...####....##.#...#.##.#..#.##.#.#.#.#
#..#.#.....##......####.##...#.##.##.#..#.#####.#..#.....###.######.####.#.#.#####.###..##..##.##.#..##..#.####.######..#...##.#####......#######....#..###...##...##############..###.#...#..######.######..#.#....#.............###.####.#.#..##.#####.#.#..#..###.#.##...................##...#.##.####...#.#...#.#####.#..#.#####.#..#####.##....#.#.##...######.##.##.###.####.###.#.##.#.#####.#..##.##..##.##.##.##....#..##..#.##.#..####..##.##.##...##...####..#...###.##.####.#..####..###.##.###.......##..#.#.##..###...##.#.#.###..##..##.#..#.#..#######..####.##..##..##.##########.###.#..#####.......#.####.#.#...##.#.#####.###.##..#..#.#..##.#.#.##.......#.##########.......###.#.#..###..##.#.##.#........##.##.#.#.#.##.###.##.#####.#..###.#..#.####.#.##..............#...#.##..#.##.....##.#....#...#.####...##.####.#.#.###.#...#.#....##..####...#..#.#..#.....##.#.#.#....##..#.##..###.#.##.#####.#...##..##.####.####.####.##.###....#.##...#........#
########.#....####.##.#.##.#.#.##.##...##..##.####.###.#........#.####.....#.#..#####..###.##...#.##..##.###.#...#.#.##.#.###..###.######..#.##...####.##.##.#####...#.#.#...##.##..#..###.#.##.##...##.#.##.#.##.#...#.##.#.###.##.###..#.....###.##......##...##......#####.#.#######.#.#..###.#..####.##.##.###....#.#####.#.#.....##.#.###########...#..#.#..###.##.#..#....##...#.....#.#.#.#.#.##.....##.....#.##.####.##.####.#.##.##...#..##..#..####..###.#..##...####.......##.##.#....##....#.#.####.######.....#..##.###..##########..##.####.##.##.##.##.#.##.##..######......#.#.###..#.#.#.##.#.#.#.#.#...#.#..#.###..#.#.#.#.#.##...##.##.#.##..#.#.#.########....##.#.##.####.#.##.......##.##..#.#..#.#.#.#.##.#..##.#.#....#.#.#.#..#..##.##.#.####.#..##.....#####.#.##.###.###.#.###.#.#..######.####.###....#.#.###..#.#..#.#########...##.#####...####.#.##.##.#####..##########.###......##.#####..##.#..###.###..#####..##.#.###..#..##..#.##..#.#...#.#.####
######.###.##.####.#..#.####.#.#...###..#.###.##.....######.#.#....#.#####.#.#.##.#.##.##...##.##..##.#...##.##.##......#.##..##.#..#...##....#.#..#.#....#.....####.#.#.###....##.##.##.........###.#....#.....#####.#.#..####...#.####...#.#......######....#########.#.##..######.#######.......###.#....##.#.#.####...##....###.#......#.##.##.....#...####.##.#.#..##.####..###.#.###...#.#.#.#..#.#.########.#.....##..##..##..#.#...###.##.###.#.##..#.##...#.#####.##.#.#.#.####..#.##.#######.#.#.###.....#.#####.##.#...######.#.##.###.#..#.#...#.#...#.##.........##..#.######...#.#.##.#.#........#######.###.##.#.#.#.##.#........###.##.#....##.##.#.#..##....##.###....##.###..##########....##.##.##...########.##.#..#.#.####...#.#.##.##..##.#..##..#.#####.#####.#########..###.....#.#.##.##.#.#..###.####.#.......##.#.#.##..##.##.####.#..##.#..#..#.#.#.##......#.#.######.......###.##.###..#.###......##.....#.###..##..#.#.#.##...##..######...#.#######..#
#..#.......##.#....##....##....##.##...##.##..######.##..######.##...........#.#..#....#..####..##.##.##.##..##.###.###...###.##.##.##.######.####...####.#.#####.........####.##..##..#######.###.#.####.###.###..##.#.##.##...###.#.#..########.#....##..##..#.#..##.....##.#......#.#..##.##.##..#..####.##.#.#....##.######..#####.###.#.#..#..#.#######.#..#....##.#....##.####...####.##.....##.###.##.#.......###..##....####...###.........#.....##....###.#..##.#.#..#####....##........##.#..#.....#####.....#.#.#..#.###.#.#.......#.#.##.#.##.##.#.#....########.###.##.#...#..#.#.#......##.#####..#.#.##.##.....#.#.#.##.#####.##.#...#..####.##..#...#.##..####..#.###.##..#.##..##.###..##.####..#.####..#.##....#..##...#.#..###.#.#.#...##.#....####...#.#.#..##.#..#.##.#.##.#.#.###.#.#.#..##.#.#.##.#...#####.##.###.......#.###..#.#.#..##.##...#####...#.#####.#.....#..#.#######......###.##....##.#.#.######.##...##.#..##.#.#..###..##..##....######..##..##
##...#############..####.#..##.......#..#..##..##.##.##.##.#....######.#.#.#...##.####.##..#.##.#..##.##..##.#..#.#..####.#.#.##..#..#.#.##....#.###.##...#..##########.###.#...##.#..##..####.#.#.#.#.##.#.#.#.##.##.########.####...#.##..#.#####.##.#..##..##.##....#.#..########.#.#.#####..###.##.##.#.##.....#####.##.##..##.#.#####.#.##.#.####..###..##.####.#..####.##......#.#....######.##.##...#.#####.#.######..####.#..###...#######.#####..##.###.....##..#.#.###.#..##..#######.##..##.#.######.######.#...#.##.#.....#####.#......#.#.#..##.###.####.##.#.....#..#.###...####.######.#####.###.#.#.#...#####...#.#.##..##.###..###.##.##.#..##.#.###.##.##..##.#..##....##..#.###.#...###.#.#..##....#.##.#####.#.##..#.#...##.....#...####.##.###.####...#.#.##..##...#....#....#.###...#.##..#...#.##.#.###.#.###...###.###.##.#.##.#...##..#..#.#...#.#.#....##.#######.##...##......#.##..#...###.##..##########.#..###..#.##....#.##.##.###..####.##.....####..#
###.##.......##.###.#.##...########.###...###.###.#.....#..######.#....#.####.##..#.....#.##.#..##.#..##.##..##.#.####.........##.##...#.##.##.#.#....###...##..##.##....#..###.#....####........#.#.#.#........##..#####.#.#####.###.#####......####....####..#..###.####.##........#...#.####.#............#####.#.##...#..##..#.#.##............####.#.##..#.###..##.#.#...#############..##.#..#..####.#.#.....###..#.##.##.#.#.##.#######...#..#....###...##.##.###.#...#.#.##..####.#......##.##.....###..#.###....#....#.###.#######.##.#.#.....##..#.##...##..##.####.##.##..###.##.#...........#...........##.##..###.##.#..##..#.####.#.#.##.#..#.##..#.#.#.....##.#....####.#####...##..#.#..#..#.#.######.#.##..#......#####.#.####.#.#...###.#..##...#..#.#.###.#..##.####.####.##.#####.###.#.##.##.###.##.#.#.#....####.#.###...##.#..#.###.###.#.#####.##.#.#######.##.........#.######.######.#.###....##..#.#.##......##.##.#..##.###.#..#...##.###......########.##
#####..###.#..........#########..####.###...#..#..#####.#.##..###...#.#####....##.#####.#..#.##.#....##...##..#.#.##.#####.#.#.....###.#.#####.....#.##...#..##.#...####.##.#...####.##.########.......######.#.#..###....#.#.#.#.#....##.######..########.###.#.##.####....########...###.#.#..####.#####.#.#.##.....###...##..##.#..#.#.##.##.####.#.....##.#.#.##.##...##.###.##.#.#.....##..##.##..###...#.#.#..##.##....##...#.#..##....###.##.####.#.##.###.#...##.##.##.#.#..###.#.#.#.#.##...##.####.##.....#########...###.##....#########.##..#.##..##.####.#...##..##.##.##....#.#.#.###.###.###########.......##......##.#..##.#.#......#..##.#..##.#.#...###.#..###.##.##.#######..##.####...##.#.#.##.....###.######..#.#..#....#######.#.#.##.##.###.##.#..##...##...##..##......#.##..###...##..#.#.#..#.#.#.####.#.##.#...###.#..#.##.#...........#.#..#...##.###..#######.##.###.#.####.#.##.#...####..##...#..####.####.##.##.##..##.##.#.###..#.##.########.##...#
##.#..####.##.#.###.#..#.##.##..##.##.#####.#.##.##........##.#.#####.#.##..##.##.##.#....##.##.####.#..#####.#...#...#....#####.#.#.#.#..##.#######..###.####..###..###.#..##.##.#..##..###.#...#####.#.####.###.##.####.........##.#..#.###.##.##.#..###.#.....##..#.####.#.#.#....#..##.#.##.########...#....##.########....###...##############..####.##....#.##.#..####.#.#.##.#.#####.###....#..##.#.########.##.#####.##.###...######.##............#....#.###.#..##..#.#.#.###..#.#####.####..#...##..#####.#...#...#.#.#.#..####..##.#.#.#####......##....##.###.##.##......####.#.##########...##.#....##.#####..####.###..##.##...######.#.##..#.##..#...###.####.##...#.#..#.##.##.###.######.##.#....#####..##.##.####.#.##...#.###.#..#.#.#.##....#.#.#..#.##..######..##..######....#.##.###....##...##.#.#.#..##..#......####....##..#.###.######.##.##...#.#....##.#.#..#####..##....##....#..#.###.#..####.##.##..#.##.#.##.##..#.##..#....#.##.#.#....###.....##.##
#..#####....##########....#.###.#.......##..#.#..#########..#.#.##..#.#..#####.#..##.##.###..##.#......####...###.###.#.##.#.....#.......##..........##.#..#.##.#.##.#.#.##.##....##....##.#...#####.#.#.#.....##.....#####.##.##....##.#.#.#.....#.#.##.#.#####....##.##...#.#.####.##..#.#..#.#...#..#######.##..###..#.####.#.###.#.#.#.###.#..##.......####....#.##.##.#.....#..#.##......####.#.###....#.#.#.#..#.#.##...#...#.#...##.#..#######.#.##.##.#####.....##..##.......##...##.#.....##...####.####.....#...#...###.#.##.##.##......##########.##.####..........######.#....#..#.##.##.###.#..####..#.#.#.#.###.#.#.##.##..##.##.##......##.#.###.#.#..#...##...###.#.#.##.##....##..#.#.......##.####.#..##..#............#.###.#.##.#...#..####.....#.##..##..#.#...####...######.##..#.#...##.#..###......#.####.#.####.##.####.##.##...#####.#...#.#..#####.#####...##...#...######..####.##.#.###.##.##.......##.#.#..#.##..#.##.###...####.##.#...####.#.######..#
##.##..########...#######...#.#.###.###.###.#.#.##..##.#...##...##.####.##.#.#.#.###.....##.##..######....###......##.########.#.####.#.#####.#.####..#.##....#.#.##.........####.#..##.#..#.#.###.....#.#####..#.#####.###########.##......##.##.#.#.##.#.#.##..##.##....#.....##....##...#.######.##.#.##.#..###.#.##.#.##.#.#.##......#.#.#.#.########.##....##.#.......##.##.##...######.###.#.....###.##.#.#.##...#.####.#.######.##....##...########.##....######.##.#####.########.#..##.####..#..##...#.###.###.#.#.#..##...##.#..###.##.##.##.##....##.#..####.##.#.##.#....####.#.##.##.#....#.##.##...####......#....#.##..#.##..##.###.###........#.#.####.######.#.#.....##..#.##..##...####.#.##..##...##..##.###.####.#.#####........###...##..##.####..##..##.#.#.#..#...#.....#..###.#.#.#.#..#.########.##..#.#.####....#.#.#........#####.#.###.#.##..#.#...#.#..######...###.##...##....##.#.#.#.##.#..#######......##.##.##.....##.#..##..##.#.#...##.#.#.##.#.##
#..###..#.#.#.###.#.#.#...#......#####......#....##.#..###..###.##.#.##......#.#...####.###.###........####...#.##.....#.##.########..#..#.######..##....####.#.#.#..#####.#.###..####....######.#####.#.#..###.....##..#..#.##.....#..####....#..............##.#...##########.####.#####.....##.#......##.##..#..#.##........#..######.#.#.....##.###....##.#.#....#####..####.####.#.#.....#..####.##.#.##.#.#.##.###..##....#.##.#.####.#####.#.##.#......####.#.#..#..#.###..#.#.##....##....######.####.#.#.############..###.##.##..##.#.....#.....##......##..######.##.####..#.#.#..#.##.####......#..#..##..##.#...##....##...###....#.########.#####.#..#.#.#.#.#....#####..#.####..#####...##.#.###..###..##.##.#.####.#.#.##.######.######.#.#..##.....#.####....#.####.#.#.#####.##.#.#...######.#..#.##.##..##...#.##.####.#...#.##.#####.#.#.#.#.#.#..#.##.##.##.#.###..##.#.##..####..####..#.#...#.##.#.###...#####.#..#.##..#.#########..##.##.#.#####.......#.#..#
##..###.............#.#########.##.##..####.##.###..##.##..##....#....######.....####.#.#.#...########....#####.######.#.##.#..###.#####....##....######..##......##########...##.#.##.####.#.#....###.#.##.#.#.#######.##...############.####.##.#.#.#.#.###.#####.####........#..########.####..######.#..###.##....########.#.##.#.#..#.#####.##.....##.#############...##....#....#.#####.##...........##.#.#.....##.######.#..#.#..##..##.#..#......####.##...#.##.#.##.#.#.##...##.##..##.###.##....##....#.###.##.#.#.##..##.##.###.#####.##...#######.#####..###.##..##...###.#.#.##.#.##..########.####.##..##..##.####.#####.##.####...##..##....##.#.#.##.......####.#.#...##.###..###.##.######.#.#.##.#.##..#.....##..###..#..#.#...##.#.###...##..##.##..##..##.#.##.#.#.###..#.....#.#.####.#...#.##.##.#..####.##.##....#.###.#.#####.##.#...#.#.#...##..#.#..##.#.#.##..###.###..#.#.##.###.#.#.###.##.....##.##..#####......##.##..#####.##..##.......###.#####.##.#
###...###########.#.......##.##.##..####....#....##..#..##.#####.###.###.###.###..#.#.#.#...#.####.#.#.####..##.#......#.##.#.##.....###.########..#.####..##.#####.##...####.##..#.#...##....#.##.#........#...#...##.....#.#...###.#.........######.######.........#.#######.##.###.##.....##..##.##...##.#.#.###.###.#..##..#.#..#.##.#..###...#.#.#.#...##.##.###..###.#####.####.#.#.##..###.#.######.##.#.#####..#.#..##....##.##..##..#.##.##.#.#.#.....###.#....#.##.#.#.#..########.##.##...###.##..####.#.#.#.......##..#.#...##.#.#.###..######....##..##.##...##..###..........#.#.###.#.###......##.############..#.##.##.##.##.###....####.#...........##.##.##...#.##.###..#..###..##...#.#..#.#.#....###.#####.#..###..##.##.##.##..#.##..#####.####..##..###.#.##.#.######...###.#.#.#.#..###.#.##.##...##.##.##.##.##...##..#...#.#....###.....##.###.##.##..#.#....##.##....##.#.#.##.#.#...#..#...##.#####..#.##.#...#.#.##...##..#.#..#..####.######.#..#.##.##.#
#.##.##.#..#############.##.....##.##.#####.###.####.#.##...##.#.##...#..#.######.#.#.#.#.#####...........#.######.#.#....#.#.######..#...###.#.##.....###.##.##.#...###.#.##.###.#.###..###.#####.#.##.###.###.#.##########.##.##.#.##.#.#.#.##.#.#####.#...#.#####.#.##......#..##.....###.#..##...###.#....#..##.#.#.##.#..##.##.#.##.##...###.###.###.#....##.#.##.#.#.#.#.#.###.......##..#######.##..##.#.##.##.##.#.######.##.##.####.#.##..##########.###..####.#.##.#.#.#.###..##.#.##.####..##.###.#.#..#.#...####.####.#...###..#...######....##.#....##...###..##...##########...#..##.#.#.#.#.##......###.##..###...##.##.##....#.####.######.###.##.#.###..######....#...##.##.#.##..##.##.##.#.#.#.####...##..#.##.#.##.##.##.##.###.#..##..##.#...##.##..##.###.##....##.###.###....#.#...##.........###....##....#######.###...#...##.#...#####..#.#.#.##.##.##.#.##.#..####.##...........###.#.##.###...##.##.#.##.##.#########.##.##...##.###...#.##...#.##.##.##.#
#.......##.........#........###.##.##.#.#.#.##....#....####....#..###.##.#..##.##............###.#####.####.#.###########...#.#.#..##...#.#.#......##.##.........##.##.........#......#.##.#.#.#...######.#.##..#.#.#.##.##.............###.###.....###..########.......######.##.###.#.####...####.###..####.#.##..#...##.##....#..#.##.####.#...############.#...............#.#.###.###..#.##.##..#.###......#..##.#..#.#.#.##.#......##....#..###.#.#.....#.#.###.....##.#.#.#.#.##..#.#.##..##..##..#.....##.#.###.#....##...###...##.#.###..######.#####.######.#.##..##.###......####.##.##.....#.########.##....##...#.#....##.#####.#.##....##.#..##########.#.###..#####.##.###..#...###.##.##....#.#......###..##.#.##.#.#......#.##..##...##..###.#.###...##..#.##...###.##....###.####...###..###.###.########..###.##..##.#.#.#.############.##.##.##.#.#.##..#..#.#..####.#..#..##.####.#.#...........##.####.##.#.##.#..#.###.#...#..####......###.#.####....#.##.#..#
#####.#..#########.####.#.#.##.....##.#.#....####.#.####.#####.#.##...#..##.##.######.##.#####...#..#....##.#.#.#..##.#...###...##.####.###...#.#.###.##.#######.##..##.######.##.#.#......#.#.###..#..#....###...#.#.#...###.###.#.#.#.#...#######.#.##.##...#...####.##..#......#.#####....#..#.#.#...####.....##.#.###...####.##...##..###.##.##..##.##.....###.#.##.##.###.#.#.#.######.#.##..##.......####.##.##...##.#.#.##...##.#.#####.##.##....#####.#.#.#.#####..#.#.#.#.#.#..##.#..#.####..##.###.###..#.##..##.#..###.....###.....###.#.#..#.#.##...#.##..#..##.##...#####.##.##.....#####.#.###.#....#####.####.######.....###..#..####....##......#####.###.##..####.....#..##.###...##..####.#.#.###.##.#.##..#.#......##.###.#..####.##..###..#.#.#.#####.#.##.###.#.###.#.##..#.#..###...##.####...##.##.#.##.#....##........#..#######...##.#..#.......##.##...##..##..##.##..####.###########.#.###..##.#.##.#.##.##....#..###.##..#.##.######......##.####.#..#.##
#.######..#.##..........#.#######.##....###.##....#.#.##.#.....#.####.#.##..#....##...##...#.###.##...####..#.#.#.##..###.#.###....#.##..##########.#.##.#....#...##..###..##..#######.##.##.#...##.##.#.##.#.#.###...#.#..##################.#..#.......####.#.#.#.....##.#####.##..#..#######...#.#.####.####.##....##..###.##.##.#..#.##.......##.#...#####.#############.#.#.#.#.##...#...###....#.#.#.#....##.##.####.....####.######.#.#.##..####.#.##....#.#.#.##..##.#...#.#.##.##.##.....###......#.#.##.#.###.#..##...#####.#.#.#####.#.#.##.#.#..###....#.##.##..##.###...#..#.#..######.##.###.#.####..##...#.#..##..##.##.##.##.##....####.#..######.#....#..#..##..##.##...###.####.##..##.#....#...####....##.#.###.####....#.#.##.#..###.#.##.#...#.##.##.#.##...#.#...###..##.#.##...###.#..#....####..#...##.#.####..######...##..##.###....##.#.########....#####..##.#...#.###...##.#........###.##.##.#.##...##..#.####.###..#..##....#..##..#.##.##.##.#.#.##.##
#.#.#####...#####.#####.#.###.##...####..##.###.#.....#..#.###.#.#.#..#..##.##.########..#.#...#.###.##..##.#.#....##.#......###.#...###.#.#.#.##......######.###.###.##..####..##.#.###...#.##.##..#..#.#....#.#####.#.####.#......##.#.###..##...#####.#.#....#.#####......###.###...##.###.###.#.#..##..#....#####.##.##.#.#...####...########.#..##.##...#.#..#.#.###.#........#..###.###.#.##.##########.#..#.##.#..###.###....#.#.#.........####.....####...#.#....###.#.###.........##.#####.#.##.#...#.##....#######..#..##........##.#.....##.#.##..#####.#..#.#..##...####.#.##...###.........#..#.#.###.####.#.##.#..##...###......##.#...#..#.##.###..#.####.##.##..########.#.#.#.##..##.##.#.##...####.###.##....###.#######......#.##...#.#..#.#.###..#.#..#..###.#.#.###...##....##.####..##.####.#..##.##.###...##.####...##.####.##..#.####.#.......#...####..#.##.##..###.#.#.###.#..#.##.###..##.##..#.#.##.#####.....##.#.##.#.######...###.#####.##.##.#.#.##..#
#.#.#.#.###.......###.#.###......#..#.#.##..#.####.##...####.#.#.#.##...##......##.#.###.###.#.###.#.###.##.#.###.##..#####.##.#####.#...#.#.#..#####.##......#.#.#.#.##.##.###......#####.#.#...##.#.#######...#.###....##..##.##.##....#.##.##.#.#.....#.##.#.#.##.#####.#...#.#.###..#.#...#.#.....####.####.#.#...##.##...##.##..###.#..#####.#.##..##.#...##...........#.####.#.##..........####..###..####...##.#.##.....##.#.#.#.####.####..#.#####....#.#.#.####.##......#.###.###.##.#####.#.######...#####.#.#.##..###..#######.###.#####.#..#.###..####.#.##.##..##.##.#..#..###.#.#########.##.#.#...#.#....#.#..##..#.#..######.#######.##.#.##...#.##...#..##.###...###......#.#....##..##.####.####.#.##..#####.#.###...####.#.#...####.#...##.#..##.##.##.#.####.#.#...###..####.##.#.#..###......#.##..##...###..#.#.####.##.#.#...##.#......###.#####.####.#.##.##..##.....#.#.#.....########..###....##.#.#...#.#..##.###...#.....#..###.###......###..........#.##
#...........##.#.##.#.####..#.#.###......##.#.##.####.###.#....#.#....########.##....#.#..##.####.....##.#..#.#...##.##.###....##.#..###.#.#.#.##.#.#.#######.............#..###.#.#....#....#.###..#.#.##.####.#.#.##.#..##.####..#####...#...#.#.##.##.#.########........###.#.#.#.##.#.###...#####..##.......#.###.#.....###...##.#.#.#.##.....#..##.######....#.#####.#######....########.#####.#.##.##..#.###..#.#.#####.#####.#...##.###..#.##..#..####.###....##.....#############...#.....#.###.#.#..#...##....#.########..#.#........####..##.#.#.#.##......##.#..##..##.##...##.#...#..##............#.#.####.#.##.##.#####..##.##.####.#..#.....#.###.##.###.##..#.###.#.#####.##.##.#####.#...#.#..##..#.#..##.##.....####......#####.#.#..#.####.#.###.##.##...##.......###.##..##.......##...######.#.#..#####...##.#.#.#.#..##.....###..######..#......#..##..#..#.#..#######.#...#####.#.#.#..##.#.####.##.....#.#.##..#...###.####.##.##.......#.#####..###.#.####..#
##################.....#.######.#.#.##.####.#.##..##..#.#.####.#.####.#.##......####.#...##...##..###..#.#.##.###.....#.#.##.#.##.##.#..........#......#.#.######.###.###...##...#.##.#...##.#.#.##.#...##.#.#......#####.##.#.#..##.#.###.###.#.#.#####.#.#.#.#############...............#..#.......##..#.###.#.###.#####.#.###...........#####.#.##...##.###########.####.##.####.#.#.##.#.##.#....##..##...####...#.#.#.....##..##.##....##....##...##.#..##..##.####.#..#.###...##...#...#####.##....######..####.#.#..#.#.##.#.#####.####..##.##...#.#.#..#.##..#.##..##.##.#..#.##.##.##.########.##.####....#...#.#...#.#.#.##.##.#...##..##.##.##...#....#.#.#..##.......#..##.#.##.#...#.#..###.#.#.####...#.##..#####.##.##.#.##.##.##...##...##.#.#.##..##....#####.######...#..##..##.##.##.###..........##.##..###..#.#.#.##.#..######..###.####.#.#.####.####.#.##.##..##.##..##.##..##.....##........##..#.###.#.#.##.#######..###..##..###.########..#.########..#.##
###....###.##.#.######.#.#.#.#..#...#...#.#.#.###.###.#.#.#.#..#.#.#..#..#####.##....###..###.#####...##.#.#..#.#.###.....####.#..#..#.########.#####.##...#......##..#...###############.#......#....###....##.##.##.##...#.....##..#.##........###.........#..#..##...#..###############.##########..#.######.................#####.###.###..#.....##.##..#.#..#.#..........#.#.##..........##.####.#..#####.#..###.#...###.#####.##.####.######.####......#######.#..####.....###..#######....##.###.######.#.####......##........#.#.#....##.#..####...#.########......###.##.####.##.#.....##.......######..##...#...###...#.......#.###..##.....#.###.##.####.#...#########.#.##..#.##...###.#.##...#....#.###.#..##.#.##..#...#####..##....#..#.#.#..#.#.##.#####.##.##...#.#####.##..#######..#....#########.###..##.#.##.....#.#..##..#.#.##.#.#.#..#.#.###.....#.#.#.##.###..#.#..##...##.#..#########.######.####.#.###.##..###....##.##..##..##.#.###..##...##.##.##.##.##
#.####......#....##.##.#.....#.####.###.......#.#...........##.#.#.##.#.##.#.#..####..#..##.....#####....#...##.###.#####..##..##.##.######.#.#.#.##..####.######..#.##.#..#.##...##......######.###.##.####.....###...###.#.#.#.###.#..######.#..######.#.#.##.##.####.#.##.######.##.###.#.#.####.#.#####...####.#.##.#.#####..#.#####..#.##.#.##.##...##...##.#...########...#.##.###.##.#.##..##..#.##..#..##.##..#.#####.##.#...#..##...#.#....#####.##...###...##.##.#.#####...##.##..#.####..#.#..##....#.##...##.###########.#.#.##.###..##.#.####...##..#..######.##.......#..#..##.#############.##.##..#######..####.##.###.##...##..#####.#.#.####..#.#.#.####.##........##....###.###.#.####.####.#.##..#.##.....##.#.####.###.########.#.####.#.#.##.#####.....##.##.#.##...##.#.#.####...##..###.#.##.#.##.##.#.######.....###.##.#.#....#.##.#.#...#####.#......#.#...##.##..###......##..##......####....##....##..##...##.#..#..##..##..#.#.#.##.#..#..#.##.##.#...#
#.##.######.####..#.#....###.###.#..#...#####...###########.##.#...##.#.#....#.##..##.##..####.##.####.#...####..#..##.###....##..##.###......#.#.###.#....#.#.###.###..##....#.#.######.###.#....#...#..#.##.##..####..##.#####.#...#.##.#.#######.#.#..#.#.......#.#.......................#.#.......##.###.####.#.##.########.....#.##.#..#.####.####..#.#....########.#.#.#....#####.####.###.###....##...##...##....##....#.###.#.#####...###.##..##.#..###.#.#..#..#...##.###.##...##......##.#.##.#####.#.####.#..#.#.###.##.........##..##....#..###..##...###.#.#.########.##.##.#...##.###..###......########.##.#.##.######.####.##.##.#.....#..#.#.##.#....#.#.#####.##.##..#.##...#.#.#.#.....#.#.#..##....####.##..#.##.....###...##......##..#.#.##..##.#.#####...#....#.#....#.#.#.##.#..####.#....#.#....##....##..#####.#.#....#.####...##.....###.##..#####.##.#.###..##.##.##.###..##.###.##.##..####..###.####.##.#######...##..####.#.#...##.#.###...##.#....###
#.#..#.#.......#.##.##.#.###.###.########.....######.##.#.#.##.###..#.#.####.#....##...#.##.....#.#.#..###..#.##.#.###..###.#..##.##.#.######.....#...####.......##########.#####.#.##...#...####.###...##.######...###.##...##....#.#.#..#.#.#.#.#.....####.##.##.#.#######.#.#.#.#.#######.#.######.###.#.#.#..########.....######........##..#.....##.#######.#.###........####.##....#.........###.#..#.#.####....#######.##.##......###.#.#...#..######.....####.##.###.##...#.####.####.####..#.#....##......#####.#.#.#.#.#..#.##.##.###.#####.#.##.##..##.##........##..##.....#..###..#...##.....#.##.............#.##..##.....##...#.##.####.##.##......#.####....#.#####.#..#######.#.#.#.#####.......###.####.#...#.##.####.####..#..###.##.##.##...##.##.....##.##.##.#######.#.....#.#####..##..####.....#.###.####..##.#...#...#.##..####.######.##....##..####.##.#.#.##..#.#..####.#.###.#.####.###...##.##....#.#.#.......###.##..##.#......####.#.#.######.#.##.###
#.##.#.#####.#.#.##.######.....#..##.#.######.#.#................##.#.#........#######.#.#####.##.#.#######.#.##.#.##..##.####.##.#..#.##..######.###.#..##.####.##..####.....##..#..#######.####.#.#.###...##.#..#.#...##.###..####.#.##.#.#.#.#.#######.#..#..#............#.#.#.#.#.#.##..#..#.##............############.##.#....######..##.###.###...##.#.....#.####.###.#.....#########.##.#..#####.###.#.#####.#.###.#..#..#.######.#.#####.##.##.#.#.######.#.##.##...##.##..##...##..##.##.#...#.######.###.#.....#.#.#.#.########..#...#.##......###.#...#######.####..#####.##.####...#######.##########.#.##.#....##.######..###....#.#.#.....##.######..#.####.#..##.#...##.#..#....#.#.##.#..####.##....##..###.#.#...##...#.#####.#.####.##.##.####.##.##.###.##..#.##.##.#######....##.#.####.##.###.###...#.##.##.##.###.#.#.#..##...##.#.#.#...####.#..##....##......#.##.#.##.#....#.#....##...##.###...####.#.....#######....#.###.###.#####.......##.##..#.####.#
#.#....##....#....#.#.#.#..#.#...##.............#######.###.####......#######.##.#.##.....#.##.##....##........#.#..#.##..##.#.##.##.#.##.##....#..#..##.####..#.#..##..###.#####...##.##..#.#........#.#.###..##.#####.##.#.####.#....##..............##.#############.####.#.#######.#..##.##......##.#####.#..#.#.##.#.#..##.########..##.....##..###.##..#####.#.##.###########....####.#..###.##.##..##....#..#.....#..##.##.#.#.#.##....##...#..#......#.##.....##.####.#...##..##.##..##..##.##.########...##...#.#.........#.#.##.##.###.#.####.####...###.#...###..####.#.#.#.##.#....####..#####....###.###########......##.##.#.####.#.#...#####..#.#.##.##.#.#..##.##.###....##...####.#....#######.#####..##.##..#.#.######....##.#...##..........#.#.##.#####...##.#..#..#.##.#.###.###....#.#.....##...####....#.##.....##.#.######..###....#.##.##..#.#.#####.######.###.#....##.#.##...#.####..#.....####.##.#.#.##.####.##..##.......##..####..###.###..#..##..##..#
#.####..#########.....#.##.#.#.#..#############.....#########....###.##.##..........####.##..#.#..#######.####.....##..##.#........#.#.#...####.##.##....#..##.#...##..####.#.##..#.....##.....#.####.#.#.##..##...##.#.##.#..##....##.###############.....##.#.........##...#.##.##...##.##....#.########.#####.#.#.##...##..#.#.###....######.##..##....##.##..#.#.#...##..##.####.###.#....###.....#..######.##.####.##.##............####.####.##.#.####.#..#####.##.#......#..##.......##..###.##...#.##...############.#.#####.........#...#.#..#.#..#.#.###.##.##.##..##...........###.##..##.#...####.....#...........###.##..##...##.....###....###.#.#..#.##.#.##..#.#......#####.#...#..###.##.#......##.##.##..##...#.##.#.#.##..#.##.########.#####.#.##.#.##..###..#.##.##.##...#.#...####.#.####.#######.#####.#.####.###.....#.##..##.####.#.##..#.##.#.#.###...###...##...#.##..#####.##..#.##.###.###.#...#.#....###.....######.##.#####.#..##...####..##.####..##.#
#..#...###.##.....#.#......###.##.......###.#...###.#.#.......##.##...#.######.#.##..##...##...##.################.##.##..##.#.#.#.......###........####.#.###.#.#####.##...#..########..####.####.........##.###.###.#..#.##.####.##.....###..#.###.####.##..######.#####.###.#.....#.......#.#####.......#.##......####....##.#...##.#..##.##.###.#####..#.###.#.#.###..#.###...##.##..#.#.##...###.##..#.#...#..#.#..##..##.#.###.#####......##.##.####...#.##.#......######.#####.#####..##.##..##.###..###.#.##.##.#.######..##########.###.#.##.#...####.#.#.##.#.....##########.##..#...##.##...#####..###.#####.###.#.#....##..##.#######.#...####.......##.##...###.#.####.#.....####.##.##.#.#..######..#.##.###.#..###..#.#.#####.......##........##..#.##.#.##.##.##.#.##.##.####.....###....#.#.#..##....#..####.....##.##..#.###..##.##.##......##.#.##...#.#.#.###.##.##..#######.##.......##.######.#.#.##.##...##...##.######.#####.##.#..##....#.##.##..#..#.##.##.#
##.##.##.#.#..#.#.###.######...########.#.....#.#...#.##.###.###.##.#....##.##.####.###.#..#.####.#..##.###..#........###..#.###.##.#.##.#.########.##.#.#.##..#.##..#.####...##.#..##..##....#.##########.#..#...##..##.#.##..#########.##.##.#.#.#.#.....##.##.....##......###########.#.#.#.##....#####.#.#######..#.###.###.#.###..##............#.#..##.....#.#.#.##.#...###.#...##.###########..###.#.###.##...##.#..###.####...#..#####.##..#...#.###.#.#..##.###.##......##...#.....##..#..##..#.#.##...#.##....#..##..##.......................#####..#.#.##.####.###.#.....#####.#.###...###..##.####.......###...#.####.###.#...#.##.....###..###.######.##.###......#####.#####..#..#.#....#.##...##.##..#.#...##...##.#.#.###.######.########.#####.#.#..#.#..#...#.#.##..#.#.######.#.#.#.##...##..####...##..#.#####..#####..###.##.##.#..####....#.#..###...#..##.#...##...##.##.####.#.#..#...##.#.#.#.##..##.#######....##...#.#.#.##...##..#######.#..##.##..#....#
#......#.....##.#...###...######.####...##.#.######........####...######.....####.#...#.##.#.##.#.#.##....##...###.####.#.######..#####..#.#..#............###...###.#.#....#..#.##.###.##.####.........##.##.#.#####..#......##.###..#...#......#.#...###..#..#####..####.###..###......###.#.#..##.#.........##.##.##..##.##.....#######.#.##.#.##...#.##..###.#.#........###.#.##.##...#.#.#.###..##.....#.#.####.##...##.####...#...##..#..###.#.###.#...#.#.######...#####.###.#.##.##..##.##..##.#.#.#..###..####.#.##..###########.##.###.######.#.##..##.#.#..###....#.#####..#.#....#.##.##.#.##..#....#.###.#...#.###.....#....#.#.###.##..##.##.#.#..##..#....#####.##.##...##.##.##.#...####..###.#..##.##.###..##.##..#.#.....##.....#.##.###...#.#...##.....##.###...###.#....##..#.#.###..###.##.##....#..##.#.##..##...###.##.#.#..##.####..#.##.#.#.##.###.#.###.#.###..####.##...#######.#.####.....#..##..#...###.##.######.......####.###.#.#.#.#.##.....##.##.###
###.##...#.#.##.#####...#.#.#.........#....###.#.##.###.#.###.###.##.....###..##....######.#.##.#.#.#####.########.#.#....#.##.##.##..##.#.##.############..##.###...#.###.###.#.##..#...##############.#........##.##.###.##.#..#.##.###.######...##.##.##...##..###.#....#.##.#.####.#...######.#######.####........#.##...####.##.##.#..#.#########....####.#.#.#######.##.#...#...###.#.#.#.#.##..#####.#.#..#...##.#.##.##.##.##.#..##.##..##.....#...#......#.#.##.##..##.#.##########....##.##..#.#.##..##.##.##.#..##..#.#.#.#.#..#########..........##..#.##.#.#.#.##..#..##...####.#.##..#....##.###.####.#.###.#.#######.#.####.....#####.#.....#.#.####...####..#...#.#..#..#.##.#..#.#..##..##.....##..##.##..###..##.#...#######.##...##.....###.###.##.##.##...####..#....######...#..#..##...##..#######.......#.####.##...##.#.#.###.#.#..####....#.#..##....#.#....###..#.#.#..###.#.#.#.#..#.#####.#.###.##.###.#..#.#.##.####.##.......##.#.#.#.#.##.#####.......#
#######.####.#...########.....###.#.#.##.#.##.......#...#.#.#.############...###.##..#.##....##.#.#..#.#...##.##.....#.####.##.####..##..#.#....####.....#.###.#.##.##...###......##...#####..............#####.##...#.#...#####.#.##..#.....####.#####..####.###.#.#####.##....#..#.########..####..###..#.###.#.##.##..##.##.##.#..##...####.##......##..##....#.##......##.###.##.##.#.#.#.#.#.#..###....#.##.###....#..#.#...###..#####.#..#######.#.#######.##.#.#..##.##.....#.##.#..###.##.....##.#.###..#.#..##.#.####.#.......####.##.##.##########..##.#....#.#.#####.##.####.#......##.##.##.#..#.#.#.......######.###...#######.##.###...#.###......##..###..##.###.#.#####.#.##.##.####..##..#####..##.#...#.###..##..#.###..##.#####.#######..##.##.....#######..#.##.#.######.##.#.##.##.####..##..#.#....#####.#.#.#..####.........#..#.##..####.#...#.######.#...####.##.#.#.#.##...........##.##.#.....#.......#.#.##...##...##.#######.###.#.....#........####.####
#.........##.#####...####.#.#.#...######.#####.##.#.##.##.#.....##.##.#.#..#...#.###....####.##.#...##.##.##...#####.#...##..#.#.#..##..##.###.##..#####....#....##..#.########.#..###..##.##.#########.###......##.##.###.#.##..#..##.###.#.#.....#.###.#.#........##.########.##.#...###.#..##.#..##.####.#.#####...#.##..##.#..#.#########...#####.####.#####.#.#######..#.##..##....#.....#.#.##...#.##...#...#####.####.#.####..###.#....##.###.#.####......##.#.##.##..##.####.##.##.....######....#.#...##.##.##.#..##..###.###..##...#.#..#.#....##..##..####.#.#..#.#.....#.#..######....##.#####.#.#########.#.#.#....###.###..####....###.#.####.#.#####...#.##......#.####....#..#...##..##..###.###.#..###.#.##..####.....##.#...##....##.#.#.##...####.##.#####.##.#......##.#.####.......#.###.###...######.....#.#.##..#######.###.##.#..##.#.#..###.#..##.#..##.##....##...#.#..###########.##....#.###...#.#.#.#.#..#.######.####.##.##.#.#.#.#####.####.###.#.....#
##.###.#.#####.....###....###.##.##......#......###.#...###.#.#..#.#....#####.####.####.#.##......####..#.#..###..#..#.#####.....##.###..#.###.###.#.....##...##.###.#..##.##.#.##.#...###..###.##.#.####...#.##.##.....##....##...##...#..#######.#..##.#.####.###.##.#.##......#.#.###.#.##..#.#.##....##.#.##..###.#..#.###.##...##.###.#..#.##..#.#.....#....#..##.#.##......######.##.##...#....########.###...##...##....##.##.#.#.####.##.#.....##.######.#....#..##.##....##..#..#####...##.##.###.###.##..#..#.#.####.###..###.##.#...##.#.####.###..##.#......#.##.#####.#.##.#....#.#.##..#.##..#..#....#...#.#.#.##.###.#.##...#..##..........#########.###..######.#....####.##.#.#.###.##.##...#.#.##.#.#......##..##.#####.##.#####.###...#..###..##......##.#..#.####.###.....##..#.###.#..##.#.##.##.#.######.#.#.#..##.#.#.#####.#....##..#.#####....###.##.#...##.###..###.#.##..#.###.##.###.#####...#########.##....##..#.#.##.#..##.#......#.##....####..#.##.##
#####..#.#.#######.##..#.#######.##.##.######.#####.##.#########.....##.#......##..###..#.#######..#.##.#.#.##.##.##.#.#...#####.##...#.##.#.#..##.#########.#####.#.#.##.....####.###.#.##..#........#########...###.######.##..######.##..#.#......##......####...##.#..######......#..#.#..##.#..####.#..#.#..##...##...#.#.#..###..#.#.####.#..########.####.#.##.......####.##.##..#######...##.#.##.......###..#.#######.##.........##...#.#.#.#..#.#..#...####.##.##.##.######.#.##.#.##.##..##..##.#.#..##.##.....##...#.####.#.####.#.........#...#.###.######......##..#.#....####.#.###..##..##.##.####.###.#.#.####.#.....####.###########.#####.##.##...##.##..##....#####.#......###....#.###.##.#......######..#.##..#.##..##...##....###.##..###.##.######....##..###..#####.####.###...#.##..#.#...#.#.#.#....#.#.#.##..#.#.##..#.##.###..##.#.#.##.####..##.#.#.#..##..####....##...........##..#.####....#.#.#..##.######.#...##.##.#....######.##.#####.##.#..####
#.#.#.##.#.#.#.##...######.......#######.......##...##..#.##.##########.####.#..##...##.#..##.#...##..#.#.#.##.#..#..#...####.##.#..#...##...#.###.##.#.##...##.#......######.##....##.#.###.########.#..###.####.##..#.#.##.#..##.##......##.#.####.######.##.####.##.#.##.#.#######.##...##....#.##.#..##.#.##....#..###.#...#.##.##.#.....#..#.####.#....##.....######.#.####.....##.#.......#.##....#######.#.#.##.##.###...######.####..###.######...##.###.#.##.......##..#.##....#....#.....##..##..#.#.##.....########.#..##..#.#.############...#...#...##.#######.####.#.####.##......#..##..##..#...##..........##...#####..#.#.###.#...........#.#...##.##...##..##.###.....#####.##...##....##..#.######..##.###...###.#..##.#..#######...#.#..##...........####..#.##.##..#.#...#.#.#####....##.#.###.#.#.#.####.#...#..##...#.###.#......##..#.#.......##..##....####.#..###...##..####.#.###.####...#.#..####.#.##......#.#..#.####..#...####..###.#....#.#.##...##..#
#......###......##.##..#########..##.....####.###.#.#####.#...##.........#.###.####.##..#.##..#.#####.#.#.#.##.##.##...###.#...#...####..###.#..#..#.......#..#.#####.##.##....###.##..#..##.#.#........##....#.#..##.#.#.##.##..#..######.##.####....##.....#.#.#..##...#............##.#..####.#.##.##..#....#######.#.#.##.##.##..#.#####.##...#.#..####.###.##...########..#####.##.#######.#######..##.........##..#.#.###..##.#...#.##..##..#.#.#.#.....##.#....#.###.#..##.#####.####.#####.###..##.#.#..#####.##.##.#....####.#...#.#.#.####...#.###...###..#.........##.#.##...##.##.#...####..##.##.###.########..###.#.#.##...#.#.#...##.##.#####...####..##.##..###.#.##.##...#.#.###.###.######...#.##.##.#...###.##.....##..##.#.#.#...#...#.######.########....##.##.##.##.#.###.###.#.#.####..#.##..#.#.#.#.##.#.#.#.#####.#..##.####.#..##.#.#######..##.#####..##....##.##.######.######....##..###.##...##.#.#..#.####.##....#.##.###.#..#.##.#...#.##...##.#..##.#
###.#.####.####.##.##.##.##.#.#..#########....##..#.#.###.##.##..#######.#.##...#.#.###.#..##.#..##.#.#.....##.#...#.###...###.#########.#.#.##.##.#.#.#.#.##....#.#...#..###.##....##.##.#..#.#######.######...##.##...#.#...##.#.##..##..##..#.###.#######.#.#.##.####.###.#.#.####.#####........##.###.####.#.#.#...#.#....##..##...#.#....###.#.##.##.....#####.##....####.###...##.##.##....#.#####..#####.###.##.##....##.###.#.#...#..####.#.#.####.#.##..####.#####.#.###..#.##.#.....##.#...##.#..#.#.####....#.##.##.###.#..#.#............######..#...##.###.####.##.....###..########..#.#.##..#..#.####..##.#.##.#.#....#.#.....#########..#.####..##..###..##..#.....######.#.#..####.#.....####.#.##.##.##.##....##.##..##.#..#.#.#.#.###.#.##.##.........####.##.##.#..#....#.#.##..#.#...###....##...#.#.#.#..###.....#.#.#.###.#.#####.##.#.#.#.#.#.###.#.##..##..#####.#..#.##.#.#..######..##.##...#.#..#.#.##.####.#.#####.#.##..#....##.##...######.####.#.##..#
#.######...##.........##.#......##.........##.###.###.#....#..#######.##.#.##.###.........##....##..#.#####.##.###.#.#####.#.#..#.#.#............#.###########.#...###.#.###...###.##..##.##.#.#.#.#....##.##.#..#..###.#.##.##..#.##.####..##.#.##..##..###.#....#.#.##.#.#######....#.#...##.##.###.#........#.#.###.#.###.####.####...####.....#.##..####.###.....###.##.##.#.#.#..#.##.###.###.#..#..##..####.#.#..#..####..#.#.####.##.##..#.....##.###..##....#.#.......#.##.#....#####.##.#.###....##.#..#.####.#..#.##..##.##.#################.#.#####.##...####.#...####.##...###.##..##.#.#..##.##.#.##.##......##.#.##.########.##.##..#...##..####..##.##..####.#.#####........##..##....#####.......#.##.#..###.#..#####.##.##.....#####......#.#..#.#.#####....##.#..##.#.####...###.#.#.###.####....###.#...##..#..###.....#.#.#.#.#.#...#........#.#..#..#....##..##.#.#.#.##.##.#.#.##.#.###.....###.#.####.#.##..#...#.#.#...#..##.####.....#.###..#.#..#.#.###..##
#...##.###.#..#.##.#.##..####.#..##.#########.#.#.#...####.##.........#.........########.######..##....##...#..#.#.#...##....##.....####.#####.#.....#####..######.#.#....#..###.#.###.#..##.......###.###.#####.##.#...#.#...##.#.##..#.##.......##..##...#.##.#...#.#.....#.#.####.##...#######.#.#.########.#.#.#...#.##..##....#####.##.#.###....##.#.#..#.###.#.#.#.##.##.#.####.#.#...####...##.##....##.#..#.##.##.##.##.#.#..##..##..##.####.##...###.##.##.########.##.##.####.#..#.....#...##.####.##....##....##.#..##......#....#.#.##.##.....#.##...###.#.#..##.##.#...#.#..#..###....#.#.###.##...#..#######.##.#.#....##.#...#...##.###.###.#..#.##...##.#.##...#.#.######.#..##..##.####.#..#####.#.#..#.##.####..#.#...#.#..######.#####.#.....######...##.#..#.##..#...#.####.#.#.#.#..##..#...##...#.##.####.####...#.#...#.#.#.#.###.########.....##.##.######.##.#.#.#.##.#....#.##.#.#.#.#####...#..##....##.##.###...###.#.###...##.#####.#...##.#.##.#...##..#
##.##...############.###..#.###.#####.#.###.###.#####...##....#.#.#.#...######.##.###.##.#.#....#####.#####.##...#.#.######.#######..#######.###.#####.#.##..........####.##.##.....#..##..##.####...#.#.#..##.#....###.#.##.##..#.###...#######.###.#####.#..#####...####.##.#.#.......#####.#...#......##....#.#.###.#.###.####.##.....##.#######.###.#.##.....###.#.#.##.#..#..#.#.#.##.##.####....#..##.##.##..........#..#.#.#.####....###...#...###.....####...##.####.##.##..###.##.#####.#.####.##....####..####.#....########.####.....##..#####...####.#.#.#.#.###..#.#.######.#.##.####.#.#..#...###.#.##.##.#.......###.###.###.###..#.#.#..##.#.##..##.##..#..###...#.###....##.##.###.###..#####....#.##.#.##.##.##.#.#.###.##.##.##..#..#####.##.#.#.###.######....##...###..##..........####.########.#.##.##...###..#.###.#.....#.#.##..##.#...#####..#.##.#..##..##.......##...##.............######.#.####.###..##...###.#.....#.###.....###....###.......#.###..##
#...###.#.#.####.##...###.#..#####.#......#..#..##..###.##.#.##.#.#####.#.........#.#.#..#.##.#.....#..##....##.##.#...##.#.#.###...##.##.....##.##.#..#.#####.###.#..##...#..##.##...##..#####..###.#.#.#.##..####...........#.##.#.#.###........#..#..##.##..##.#.#.......#.#.#####.#####.#.###...#.##..#.##.#.#.#......##...##..#####.##..##......#.......#######......#.##.##...#.#.#..##..#...##...##......######.##.##.##.#.#..#.####.#.###.#.###...###.#.###.###.#........##......#.###.#.#.#.#...####..##..##.#..#.#.###.......#.#####.##..##...##.##.##.#.#.....#...##.#.#.##...#.##.##...#.#.##.#####...##......#####.#.#.....##....##.#.#...###.#..#.###.##.##.##...###...######..##.##..#.##.#.#.####.#.##...##.#..##.#...##...#.....##.##..##.###..#.#.#...#.##.####.####.#.##..######.###..##....##..#........##.##...###########.##.#..##.##...####.###.#.#....####....#.##.#######..###.##.###.##..##..#.##.#.####....###.#.##.##.....####.##.#.#.####.#.#####.#.##..#
##.##...#.#.#.#..####..#....##.#.#.######.##.##.##.##.#.#######.#.##....#########.#...##.#..#######.#.#####.##...#.#.###..#.#.#.###.##.###.##.##..#.##...#.#.####..##..###.#.########..##.##....##.....#.#.###.##...##.#.####......#.#.#.######.#.#.##.###.#..##....##.####.#...##.####.........###.#####.###....#.##.#.#....####.##.##..##.########.#.#####.###.#.###.##.#.##....#...#.##..##.########.###.#.#........#####.##.#.##.#.#.##....##.#.#.#####...#..##.#.#.#####.##.####.##.............###..#.#.####....##.#.###.#######.#.#.#....#.####.###....#....#####.#.###....#..###.#.##..###...#.##..##.##.######.#.#.....#...##.#####.##......#.##..#.##..#..##..#..##.##.#.####..##.##...##.#.##.#...##.....####.#..##.##...#####.##.######.###....####...#.#.###..#.#.....#.#.#....##.......#######.#..##.######.#..#.######.##.##......#.#.##...###..##..#.#.....####.###.#########.#####.########...###..##.#.##.....##.####.#....#####.####.#.......#......#...###...###.#
#...###.#.#.#.##.#.###.####.##.#.#.#.##............##.#..##.#.#.#.#..####...........#....#.####.......#.#.#.###.##.#.#.##.....#.#...##.#.####.#..##.#..#...#..#.#.####.....#.##.#..###.#...####.######.#....#...##.##..####...##.#........#..####.#.##.##..##..#########......###...###########.#######.#...####...########.##.#..#...##.##..####....###.....#.#....#####...####.####.#.##.###.#.###....#...######.#.#...#.#.##...##.....##.####......##..###...###.#.#.##.#...#.#..##########.#.#.###.#.##.#.######.##.....#..###.....#.#...#.##.##.#.#.####.####..####.#..#####.##.#.#.#.#..##.###...##.##..#...#.#.#########.######..#.#...####.###.###.#..##.##.##.##.##..#.....##..##..####..#.#.##.#.######.#..#.#.##.#...#.#..####..#.#.##.#.#.###.##....###.#.#.##.#.#####.#.#.#.###########...##..####........##.##.#.#.#.#.....#####.#...#..##.##.##.###.#.#####..###.#.#.##.#..#.#.#..####.##.####.##.##.##.#.##.#####...#.#.#.####.......##.##.##.#####.#.##.###.##.##.#.#
###.#.#.#.#.#..#.#..##..###.##.#.#...#######.#.#.#....#.###.#.#.######....#.###.##.###.#....#.##.##.#...#.#.#.#.#.......####.##.###.#..#.##.....###.#.####.##...#.#.###.##.#.#..##.#.#.###..##...........##...#..####.##....##########.####.##.#....##.#..####..##.##.#######.#.#.#.#.##.....##.#.##..#.##.##..#.###..###......##.##.##..###..#.####..######...####..##.###..#.###.#....##.#.#...#.###.####.##.###.####.##....###.######.##.#.###.#####..######.##......#..#.######..##.#..#####.#..##...##.#..##....#..#.#.#.##.#####.#.#####.##.#.......#.#.#.#..##....##.#.#...##.#.#.#.#.###.##..#.##..##.##.##...##.#....#.#.##.##.#.###..#######.#...##.##..#.##.....##...##.####.###....##.#.#.#......##.###.##...##...######..##..##....#.#....##.#####.#...#.#.##....##.....#....#..##...#..#.###.##.#######.######.#.#.#.#####...#######...##..##.#.........###..##.#.#........##.....##.#..##.#....#..##.......#.....###.#........##.###.##..##.##....#######.#....#.##.#.#
#...........##.#.##..#.##....#.#...###...#########.##.....#.#.#####.#########...##..#####.#...#####.###.....#.#.#.##.######..##.##..##....#####.##..###.#...##.####.#.###..#.#.##....#.####..################.#####.######.###.#.....#.##......##.###....##.#..###.#....#.#.#.#.###....#####....#.###......###...#.#.##.#####.##.....###.#...##.#.###.#..###.####.##....#.##...##..####....#.###.#...###.####......##....##.#####.#.#.#..#....#...###.##.#......#######.##.#.##.#.#.##..##.#..####.#####.#..#.######.##.#####.##.#.....#.#......#.#######...#.#.##..####....#.###.#...........#...####.##.###.#...###.##.####..............#..##..#......#.##..##.#..#.#####..######....#.##.#....#.#.##.###.#..##..####..###..#.#...##..####.###.####.##..#......#.#....##.####.#.#...####.#####.#.####.#.##.......#.####.#.....#.##.#..###...####.####.##.#######.#...##......###.#######.#.###..##.#..####.#.########.##.#####.#...##.#.########..##..#.#######.#.#.####.#.#.##...#
###########.##.#.###...#####.#.##.##.###....#.#.####..##.##....##...#.#.#####.###..##.#...###.#.#.#########.#.#.#.##.#..#.##..#.###..#.#.##.#.#..##..#..###....#.##...####...#..##.#.....##.##............#.#..#.#..##.#...##..#####....#####.###.##..#.##..##.##..####.#.....#..#####.###...##....###.###...#.#..........#...######.#.#.###....#..#..#.##.#..##...####.#....#####....####.#.##..#.####....#############......#.#.#.#.##...#.##.###.#.##.######..#.##.#..#...##......##....##..##..##.##.##.#.##..#..#....##..##.#####.#.######...#.###.###.#.#..##.#....##...##..#.#.#######.###.#.#...#.#.#...#.#.#.##...####.##.##.##.#...####.#.###.##.#..##....##..##.##.##.######...#######.....##.######.###...#..###..##.##.####...##.#.#.#.#...##.#####.#######..#.##.#######.......##.......##.#..#######....##..###.#...##.#.#####.##.##.##...##..###.##.###.##.######.#.#.#.#.#.######.#..#.##.#..#..#.#..##.#....##....#..######.......####.....####.......#.###...####.#
##.##........#.#...###..#.#........#.....##.......#####.....#######.#.#.#.#.########....#.###.#.#..##..##..........####....##...#.##.###.##.....####.##.######....###.#.#..#...########.##...###.##.#.###...#.##.##.##.#.#..##.##....##.#.#.#.##..#####.#..##.....###.#.#####.##.#.##....######.##...#######...#.########.##.##..#........#####.##.##.#.#..##....#...##.####.#.#####.##....#.###.#.##.####.#..###....##..##.###...#.#..##.####..#.#.#.##..##.###...#..##...######.##.#####.##.##..###.....#.#..##.##.##.###..###.##.##.#.##.#.###.#.............##..##.######.##.########.#.........#.###.#.#####.#.#.####.#.##########..#.#...#..###.###..##..####.##.##..##....#..###.###.#.####.##.##....#.#.#...#.##.#.##.#..##.#.#..###..#.#.#.#.####..####.#.##..##...##..#.#..#.############.###....##..#.#####..##...####.##..#.##...........###.##.##...####.......##.#..#.........###.#..##.#..#.##...##...##....########.#####...#######.#####.##.#..#.#######.##..#.#.##.#
#...#.#.#.##.....####..##...######.##.##.#..##.##...#####.###.#.##......#.#.##..##...##.###...#.##..##..######.###..#.####.####...##.##..##.###..##..##...###..##.........####.#.#....#.##.###.####.#####.#.......#..#.#######.########.#.#...###..###..##.##.#####............#......####......##.#..##.#...#.###............##.########..###........#...##########......#.....##.#..####.#...#.#.#..##.#.##.#.####..##.#...##.###.##.#..#.#..##.#.#..#.##..#.#.#...#####.##.##..##.#.#.......##...#####.#...###.#......###..#..#..#..#.#..........#######.#.#....######......#...#.#....####.#.##.#.#.#.#.#.##....#.#.#..#..#####.####.#####.#.###...#..##..##.##.....##....#.##.##...#.#......####.##.####...##.##...........##....##.##..##.#.#.#..##..##.......##.##.#####.#.##...#....##.##.#...##.#####.#.#.#.##.###.###.#..##....####.###.##..##.##.####...#######.##..##...#.#.#.#.#.#.##.##.##....#.#.####..####.#.##..#....##..###.#......##.#.#####....#.##.#.###.###.##.#
#.#############.##....#####.#....#.########..######....#...##...#..#.##.....###.####.#..#...#....#.##..##.#.##.######.##.#.#.#..###...##.####.##.###....###.#.#####.##.#.##....#.##.#....#.#....#.#####.#.###.###.#.##..#.#.#...##.###....###..##.##.##.##.#...##.############.######.#..############......##########.#.#####.##.##....##.##.##.##.##.###.##.........####.####.##..#.##....###.#...#.###...#.....##..#######..#.##..##.##.#.#.##..#.##....##.#.#####...##...#..##..###.###.###.##.###.#.....####..###.##.#.##.##.##.##.#.#####.#.#.##....#..######.##.#.######.##.##.####..#.######...#.#.#.#..##.###.#.##.##.#.##.....#.##.#......###.#.####..#.#..#####..#.#####..###...#.####.##.#.##.#..###.######.#####.#.######.....##.##.#.#...##..#######.####.#..###.#.#..###...#####.##.##.##..#.##..#.#.#.....#..#.#.#.##..####.####.#####.##..#.#.#..###.##....##.###.#.#########...##.#..#####.###..#.#.####.....##.##.###..##.#.#####.##..#.#.#.##.###..#.#.#.#.##..##.#
#..#.#.#.#.#.##..#.##.##.#######.#.#.#.##.##.##.##..##.##.#####.#.####..#.#..##..###############....##....#.#.....##...#.#.#...##.##.##...##.....#...####.#.####.#..##########....######.#.####.#.##....#..#####.....##.#.#.##.##....####.#.#.###.#.....#....#.##.#.#....#.....##.#.#...##.###.#.#########.##....#########.....#.#####.##.#..#####.#....#.#####.##.###..#.#.....##.#.#####.#...#.#.#.#.###.#####.##.##.##.###....##.##....#...###.#.#####.##.#..#.#..######.#.####..##..######.##...#.#####.##.##..#####.#.##.#.....##...##..###########.##.#.......#.#..##...........#.##.#.##...#.#.#.#...#.##...##.#.#.....#.######.#.#..#####.###.....##..##.#.#####..##..##.##...###.####........#....##.#..##.####.##..####..#..#.###..##...###..##.#.##....##...#.##.#.#.##.....###.##........###.#..##.#...#####.##.#.#.#.##.##.##..##..##.#...##.#...##..##..####..#.##..#....#.#.#..####.##.#.##...#..##.#.##.##.##.#..##.#.##......##.#...##.#.....##.###.##.#.#....##.##.#
##.#...#.#.#.##.#####.##.#.#.#.....#.#.##..###...####...#.#.###.###.#..#####.##.##.#..####.......##..####.#.#.########.....###.##.#...##.##..###.###..##..#.##.#.##.#.#.#..#...#####.#.#.#.#.#..#..####.#.##.#.###.#.##........#####........#.#...#####.##.#####....####.#####.##.#.###..#.#...#.#.#........###.##...#.#.#####.#..##...##.#.##.#.######....##.#########.#.#####.##...#.#...###.###.#.#.#...##....##....##..#..#####.##.##.#.###.....#..##.#..#.##.##..#.#...#...###.##.##.#.....##.##.##.....#.###.#.##.....#.####.####.##..###.#..##.....######.#.##...##..#.####.##......#.####.###.....###.#..#.#..#...#.#....##....####.......#.####.###.##..#.##....#######.####......#.#####.##.##.###..#.##.......###..#.##.##.###...####.####.##.....####..###...##.#....###.#..##.###.#.###..#....##..#.###........#.#.#.##..#.###.###......###..#.#####..##.#..##.#.##.#######.#.#.##..#.#..#..###...##.....#.##.####.##..#.##.#.#####.#.####...######.#.#.#..#.####..#.##.#
#..###.......##.#.#...##.#...###.#.....###.....#..#####.#.#.#.#.##....##.#......##.##.#.#..#.###..##........#.###.#.###.##...#.##.###.#...######.#.##..##.#.#..#..###...##...#...##......#...##...##.##.###..#.#.###.###.#####.#.....#.####...###.#...#.....#.#..####.....##...#.....###...###.#.#.####.#.#.#....###.#.........##.####......#.....#.#####.###.##.##........###...###.#.###.##...##.#.#.###..####..##.#..##.##..##....####.....#.##.##.##..##.#.##..#.##.###...###.#.##.##.####.##......###.#...#.#.#.###.####.##...##...#..##.#.#.#######..#.#####.##.#.#..####.....######.#.#.#...##.##.####.#.#####.##########.###.#..#.#######.#.#..#.##...##.#.#..##..#..##...#######.##.#.######......##....#######.#.#.##.#......####..##...#.#..##.####.###.#...###..#.####.####..#...########.####.###.....####.#.#........##.#..##.#.######.#.#.##..#.##.##..##......##....##.#.#.#..#.##.##...##...#..#####...##..##...##......####.#.....##..#..#.##..#.#.#.##..##..##.##.#
##.#.#######.##...###.##.###.###.#.#.#..######.##.........#...#..#######.###.##..#.#....#.######.##########.#.#.#.#...###..#...##.##..#.###.#..#...###.##.....##.######.#..####.########.###.##.###..#...###.#.#.##...######...###.###.##...#.##..###.####.##.#.####..###.#..#...###.#.###...#.#....############.#.....#####.#.........#.##...#.#...#.#...#.#.##.#######.###.##.##.......#.###.##....#.#.#.##.###.##.####.....####.####.###.#####......##......###...##...##.###....##..#.####.###.#####...###........##......####..###.##.##.#.#..##..###..........#.####.#.###.####....#.#.#.###.##.####.......##.#.#.##.##.#..#.#.##...#.#.#.....##...###.###.....###.##.##..###.##.#...#.#.#.##.##.#.#####.###...#.....#.##.######..#.#.####.##.#.##...##..#.#.##.##.#.##....#.##.##.#.####.##..#.##.....##.#.##.#############.#....###.#.###.#......###.#.##..##..#####.###.####..#.#.#.##.##.##.#########...#####..##..##.####.##.####..###.#..####.##..##.#...#.##.####.##..#.#
#......#####.##.###....#.##..#.########.#..##..########.#.###.#.##...#...#######...##.######.....##.......#...#...#.#.###.####....###...##..##.###.#.#..####.##..##.#.....###....#.##.##.##..#....##.##.##........##.##.##.##.##.####..#..###..##...#.##.#..#.#....####.#.#####.##.........#...####.#..#.#.#..##.###.#.#.....###.##.##.#..###.#.###...###...#.#..#.#.#....##.#...####.##...#.#..#.##...............#..##..###..##...##....#.####..#########.##..####.####.#....###.####.#.#.....##.#.#.#.#..######.####..######.#..##.......#.#.##..##.#.#.#.#.####...##.###...#########............#.#.#######.##..#.#.#..#..##...#..###.......###.####..##...##.####.###...##..##.##.##.##...#.##..###...##....###.#.###.#..#.##...#.##....#.#.#.....##.####.#....#.#..#..#.####.#.....#..##..##.##..####.###.####.#.#..##...##..#.####.#.#.#...####.#..##.#..##.##.###....#.#.#..##.#......#.##.##....##.####.##.##..####..#.#.#...#..#.#.##...####.#..##.##..#.###.##.##.#..##...#
#####.##..........###.##.###....##..###...######.#......#.....#..###.###.#...#.###.##..#.#...##.######.##...#...###.###.#########.#.##.####.#..##......#####....##..####.##.###.##.#......##.###.##......##.#####.##.......#..##.##.#####..##.##..#....#.##.....##.###......#.######.##.#.##.#....#.#.##.#.##.#......#.#.#.#.##..##.#..##############.##..#...##...#.####..#.##.##.#######.#...###################...#######..##..#######.#.#.#..######.#...##.##.....##..####..##..#.#.#.#####..#.#.#.######.##...##.##.###..#...########.##.#.##.##....############.##...###..#...##...#.######.#......#.##...##.##.#.##.##.###.############.##...#.#..###.####....#.##..####.###.#..##..###.#.###.##..######.##...###.....##..###....##.###.#.#####.##.##.#...##.....##.##.#.##.####.##.####.##.#..##.##.#....##......#####..##.#......#.#.###.#.#####..#.#.###.#..#.####.......###.#.######.##....#####..#.#.#..##.##.##.##.#.##.#####.#.####..##..##.##.###...###.##..#...###.###
##.#..####.#.####.###.##.#.##.#####..#..#...###..###.##.#.#.#...##.....#.#.###.....#..##.########..#.#####.####......##..#.#........##..##..##..#####.##...##.#####..#.###......#..#####.##..##...######.##.#......#######.##.##..#..###..##..########...###.#######.######......###.#..####.#.##.....##.#......##.#.#.#.#######..####.#....##...........####.####....####......##...##.#..###.#.#.#..##..##.....###.#.###.#.##..##...........#.##......#.####.######..##..##..##..##.#.#.#...##...#.#..#.##.....#..#..#.#.##.#.#..##......##.#.#..#####..##........#.##.#.####...#####.#############.####.####.#..##.#.#..##.#.#..##.#.##.########.#.##...#.#.#..####.##.###.#.#.#.##....##.....#.#.###.#.##....###..#####.##..##.####.##.#.#.#..##.#.##.##.#########.##..##.#.#..##...##..##...#.#.##..##.#.####..#.#.##.####......####.#...##..#.#.#.#.##.#.##..#.##.#....####.##......#.###..###.####.##.#...##.#...#.#...#.#.##.#.#.#.#..###.##..###.#..#...###.#.###.#.###.....#
#..##.#..######.#.#.#..#.#.##.##..##.#.###.##.##.....######.#.#..#####.....#.#####.##..#.#.#...###....#.#######.##.#####...#####.##..#.####.#..###.....###.#...#####...####.###.#.##.....##.####.##...##..####.#.#..##.#.#.....##.#.##.######..###...###...#.....##...##.####.####.#######.###.######......##.#.##.#.#.###..#.#..###.#.####..######.##.###.#..#.#####.#.###.#.#..###......###......##..##.#####.##...#.#.#...##.#############.#..##.########...#.#.##.####..##..##......#.#.###..#.#.#.##..#####.##.#.##...##.####.##.####..#.#.#.##..##.########.#......###..###.##..###.......###...##....##....##....##.##.#.#.##.........##.....#.#..###.....###.#..#.#.#.#.#.#.##.##.####.#.#.#.#.#.#.#####..#..##.#...##.###.#.#...#.#.#.##.##.#.##..#.##...#.....##..#.#.#.###.#..#.##..###.#.#..###.#.###..#######...######.###.#####.###.....#.#.##.#..##.#....####..#.####.##.#.....##.#...#..#.##.###.#..#.###.##.##.#.##...#.#...##....#.###....##.###.#.#..#..#...##.####
#.##..#.###.#.#.#.#.#.##.#.##..##....###...#.....###.#......####.#.#######.#.##....#..##.....#..#####.....#.#.#.##########.##....###.#...##...##.####.##.#.###..##.###.#.####.....######....#.#..##.#....####..#.##........##.###.#..#.#.#.###.#.###..#..#.#.#.#####.##...#...##...###.....##..#.#####.#.#.#..#..#####.####.#...##...###..##.#....########.##....#..........####.#.####.#...###.######.....##....###...#.###..#.##..##.##.###.#.##.....#.#.#.#...#....##.##.##.##..##.#.#.#.#.#.##.#.#.##.###....##...#..###..##.#.####..##.#...#..##.##.##..#.#########..#..##....##.#########...###....########..##.###...#.#...######.#.#..#####...##.#.##.####.....##.#.#.#...#..####..#.###............##.##.#.##..###..#.#.#.#.###.#.#.#.##......##.##..###.#####..##.#.#.#...####.#.###...#.#.#.##.#.#.#.##...#.#.##.##...........##.#.#.#####.....##...##....####.##.##.##.####.#######..###...##.#...##.##.....#.#.......##.###...#.#..##...#.####.##.....#.##.#.##.#.......#
#.###...##............#.....#.######..####.#####.###.#.######................#####.##..########.#.#.#####........##..##.##..######.....######.#...##...#.#..##.###.....#.#.######.#.###..##...#.########..#.######..#########.##..#.##.#.#.#.......##.#.##.#.#####....###...#.####.#.####.######.#.....#.####.#.###.####.#....######.##..###.###.##...##....####...##.########.#....#######..#...########.#####.##.###....###...##.##..#.........##.####.#.#####.####.##.##.##..#######.#.#.#.###.......#.#...#######.#.##.##.##...#.#..###.###.#.##..#...##.#...#.##....##.#####.##..#..#...####...##.###.#####..##....#.###.###......######...#####....#.##.##.#.######.#.#.###.#.###.##....#############.##.##.#..##.#.##.#.#.#....##.#.#.#..##.###.##.###.#....###..##..#.#.#.#####....#.##.##.#...##.#.#.#.#..###...#..#######.######..#.....#.#####.####..##.###..#.#..#..##.##....##.#.##.....####.#.###..####.###.##.#.##.##.##..###########.#.#.#.....#####.#.......#.#######
#...###....#####.####.####.##...###..##....##..###.######.###.###.###.#.##.#..##......###.###.#.#...#.#####.##.####.###.#..##..#######.#.##...#.######.....###.#.#####.#.#...#......#.##.####.#.#.##.#.#.##..##.#######.###....##...##...#.#######....###.....#..###.##.#####..##..#.###....#.#....##.###########........#######.#......##.#..##.####..####....######.#..........##.#.###.##.###...##..#...##..........####.###.##..##.######.####..####....##.#......##.##..##..##.##....#.#.##..##.#.##.######....#....#.##.####.#.##.##..#.#.#..##.##.##..##.##..####..#.##....###.##.#.#..##..#.....##..##.##..####.#.#.#.#.##.######.#.##.##.#...##.......#.#.##.#...#.#.#...#.#.#..##.#..##..###....#..#.##.##.##...##.....##.###..#.....######..##..##.###.##.#.###.##......##.##.#....#..#.###.##.#...#.##..####.#.##.##.#.....####.#####.#.##.....###.##...##.##.##.#.###..###.##..#..#.###..##..#.##..##....#.#..#.######...##..#.#.#...#..#.#.###.#####.#.###.#########.###
#.#..###.###.....#....#.##.##.###.##..####..##..#...#.#.#.#.####....#########.######.##.#...#.#.###.#.#.#####..##.#.##..##.##.##.#.###.#.####.#...#.#####.##.#.#.#.....#.###...#.##....###......#.#..#.#..##.#..............##....#####.##...#.#.####.#######.#.##......##.###.###.#.#.##.###.##########...##..#########.##.##.#.######.##.##.....##..##.###.#..#.....##.#.###.#.#....#....#.#...#####.##.############..##...##.###.##..##......##.##..#.##....######.#...##..##.....####...#..#####.#.##..###.####.#.####.##..##........##.#...##.#..##..##.##..##.#.###...#####..##....###.######.#.#..##.##.##.###.#.#.#.#.#.....#.##....#.....########.#####....#.###.#.#.###.#.....#####.####.#.##.#.#.##.#..##..###.##.##.###.#.##...###...##.##.#..###.#...##...##..##.##.####..######.#.##.#....#.#.###..##..##....#...#.#.#####.#..#........####.##....##.###.##.#........##....##.#.#####..####...###..####.#.#.##..#..###.##..##.#.###.##.#.#..#...#..#.#..##..##.##..#.#.#
#.##.#.############.#.........#.#.#..##.##.####.###.#.#.#.#.##...######...#....#.#.#.#..###.#...#.....#.#.####.......#.##...#..#.#........#.#.#.#.#.#.###.##.#...#####.#.#.###.#####.#..####.##.#.##.....##..######.#.#########.#.#.##..####.....#.#.....###.....######.#..#............#.#.#.#...##.#.###..##......##...#.....#..###.........###.##.##..#.####.##.##..##############.####...###..##.#.##...#####......#####.##...#..##.#####.###...##.#######..##....###.#..####.##..#.#.###.##.#...#....##.#.#..#.#.#.##....##..#####.###.###....##.##.##..##.##........###.....######.##...##....####..#....##.......#.#.#.####.##..#.##...#.#................####.##.......#..#.###..#.#...##..#.####.#.##.#.####.#.#.##.#####....####.#.#.###.....##.#.#.#.#..###....###.#####.#.###........#.###.##.#.##..##..######.###......#.##.##...##.##.##....###.#..#......#.##.##########.##..#...#.##..####.##.##..##.......##...##.#.#..##.....##.#....#.##.###.##.#.##..##...##.#.#.#
###....###...####.####.#.#.##...#.##....#...##..........#.#.#########.###.####.........##.#.###.#####.....#.#######.##..###.##.#.##.#####.#.#.#.###.#.#...#....####.##...#.#.#####.####.#.#####....#####.###.##..######..#.#.####.#.###..#.###.#.....###.....###..##.##.##.#.#.#.#.####.......###.#......#.########..###.#####.##...########.##.........##.##.#.####..####....###.###......#..##.###....##.##...######...##..####...###..##.....###..#..#.#####..####..##...##.#####.##.#.##..#..##.###.#....#.##.#........##########.#.##...#####........##.....########.#.#####.##.#...####..####.##.##.###.####.#.##.......##....##.#####.##.##.#.#.###.##.#.##.##..#######.#.#######.#.###..##...#.#..#.##....#.#.....#....#.####..#.#.#.####..###..#.....####.#...####.#.#.##..#.#.########.#..##.##....##..##...##....#######.#.#..####..####..####.#.####.#.######..#.....##.###..##.#.#.#..##..##...#.#..######.#####.####.#.#.####.####..####.#..#..##..#....##....###..#.#.#
####.#...##.##.....#.#.#######.##..####...######.#.#.##.#.#..#.#....#.#.#.#....##.##.#.......##.....#####.#.#.#.....##.##...##...####..##...#.#.##..#.###.####.#.#...###.#.#.###.#.........#..###.##.....#.#.##.##.#.###.....#.#......#.##...#####.#.######.##...###.#.....#.################.##..######.#..#.##..##.#....#.##.###.###.#.....#..#######..#.#....#.######.####..#....####.#.##....#.###.##...###.#.#..###....##....####..#####.###...##.##....##.##.###.#..#..#.#.....##....##...#####.######.#.#..##.########.####......#..#...#...##.###..##.##.#.#.##...#.##.#...#.###.#.#..###.###...#..##...##########.########.##..#.####..#..#######.######..#..##.###...#.#.##.#......##..##.##.##...###.###.#####.##.###.##.#.##...#.###..#####.#####..#.#.###.##.#...#..##...#.#.##.##....##..####.##..###.#######..##.....#.#.##..#####.##.##...#.##.....##...##.#.######.#...###.###.#.##..#####...##...##.#.#.#.#..#.#.#.....##.#..##.#....#.##.####...####..####.##.#.#.#
#.######.##.######.#.#.###..#..##.##..###.#..#####.####.#.##...####.#.#.#.#############.###.#####.#..#.#....#.##.##.##..###..##.##.#..##..#......##.#......##....##.##.....#.#.#.###.#####.##.###.######.#.#..#..#.#.#.#.#.#...###.####.####..#.######.#..#####.##...#####.#####.......###.....##.##.#.....##..##.#..####.#..........#.#######.###......##.####...#.###....###.####..###########.#..##..###.#...#.##.##..##.####.##....##.##....#.#..#.####.##......#..##.####.#####..####.#..####.#...##.#......##...###.#.#..#.#.####...####.###.#######..####.#.#.####.#....###...#...#...##....####.##.##.###.#.#.##.....##...#..##.#.#.#####.##...........###.#.###.#.###.#.#..#.#####.##..##.....####......#..#.#....#.#.#.##...##.###.#.##.##.......###.#.#.##...#...#...#####.#...##..####....##.#...##.##....#.####....###......##..##...#...###....#####....####......#.#.###..#...#.....##.##.####..##.##..#.#.#.#.##.#...##.##....###.####.#....#.##.####.##.##.#.##.....#
#..###....#.#.#..#.#.###.##.##.##..#.##.....##.##..##...#.##.#.#..#.......##..##.#...####......#####.....##....####..##.....##..##.##.########.####.#.##.#..##.###...#####.#.#....####.#.#..#.#...#.#......##.#.##.....#####.#.....#.##.#.###....##.#....##......##.###.##..##.###.#.#...#.##.##.......#.#....##..##.#.#....##.###.#...####.####.##.###.#..##...###...####.....##.##.#..#.#........##..##.#.###.......####....##.#####....###.#####.##.......##.###.##..#..##....####.###..#.##..#.###.#..##.#.#..##.##.....##.#.####.########..####.##....##......#.#.#....########.###.###.#####.#.##.........#.#.#..###.######...##.......#############.#####.#.#.#.#.#.#.....#.##.#.#...###..#####.#.#######.##...#.##...#.#..###.#..##.....##########.#...#.#..###.#.#######.......#..##.#.##.####....###..##.####.#..#.#######.##.##..#####.##.##.####.###...#####.###.####.#.#.##.#.###.###.#...#.#..#.###..##...#.#...##...#######.####..........#.##.#...##..##.#..#.#..#####
##...####.#.#.##.....##.....##.###.#..###.###.....#####......####.#######..##.#....###..##.#.#..####.#####..##..#.#.#######.###..#.#...#.##.#...#.#.#######.#....##.##.##..#.####.#.#....##.#.###...######.#.....###.#...#####.###.#.##.#..##.####..####.######.##..##...##.##..########.####..#.##.#.######.####......#########.#.###.#.....##..#####..#.#####..####..#######.....#.##.#.#######.####.#....#...#####.#..##.#.....##.##.#.....#.##...##.####.######.###...###.####......##....#.##..#..#.########.##..###.###.....##..###..#...##.#...####..######...#.#.#####....#..##.......##...#.#..#.#.##.##.#.##.##...#.#...##########.#..##.###.....#.#.#.#.#...#.#.#####.#.##.#.#.#...##..##......#.##.#.#..########.#...##.#.#.##..#######.#..#.....#...#.##......#.##.#####.#.####..#.#..#.#..#######.##..#.#.##...####.#####.##.##.#......##..##..#.###...#.#.#....##..#.#.#..#.......#####.#.##.#.#.##..###.#.#.######.#.#.##.....#####.##.#.####.#.###..##..#.##...######
###.####......######....###.#...#....####.#.########.##.####.###..#.....##..#.####.##..########...#...##...####......##.#.#...##.....#...#..##.##.#.##..#...###.###.#...##...###....###.##....##..#.#.##...##.####.####.##.##..#.....##...##...#.##.......##.##..##..#.###...#.##.##......#...#########...#....#..##.#........#.....#######.##..##.#.##.#.#.####..#.##.#.##.######...##.#.#....##.##.#.####...######....######.##.##..######.##..###..###.#....#......##.###...########....####..##.##....#.#.##..#..##.#..#..#####..##.##.###.##.###.##.#.##....###...#..##.####.##.########..###.#...##.#.#...........#.###.###.##..##.##..##.#..#.#.###.#.#...#.#.###.#.#..#.......#.#####.###..######.#.#....#.##.##.#.#.#.###..#.#..#.###.##...##.####.####.#..###.##.#.##.#.##..####.##.#.##...##.#.##.##.##.##.#..#.#.#..#.#.#...#.....###.##..##..##.#.#...###.#.#.#.###.##...##...#######..#..#.#..#.#.#..##.#......#.#.......##.#####...###..#..##....####..##...####......#
#....#.####.###..##..#.###....#...##.##...#...#.##.#.#######.#.##.#####..#.##.#.##.###.####.#.###...#..###.##.#####.##......#####.######.##....##....##.###.##....#.##.####.##.####.###.#####....####.####.#...#.#.##.#.##..######.#..###..##.##..######.##.....####....####.#.#...######.###..##..#.####.####.##############...##.##.##.##..##.............#.###............#######.#..#.###.##........##..###......#.##.##.###...#.###.#.#..##.#.#.###..#.##.######.##.#.###.#.##...####..###.##.....##.#.#.###.#.###.##.#.###..##.#...#..##.##.##..#.....####.##..#...###..#.#..#.#...#.##.##.#.#############.######...##..#.#.###.##....###.##...###.....#.###.#.##..#.##.####.####..#.##.#.##.#.#.#....####.#..#.##...#.#.#.##.#.#.##..#..####.##.#.....##..#.##....###..#.#..##..##..#..#.##.####....#.#.....##.#.##.#.##.#.#.###.##.####.#####..##....#.###.#.#.#.#.###......#####.##..##.##.##.#.##.......##....######.##.######...##.##.########.###.#...###..###.#.#..#.####
####.#.##.#.#.##.#######.######.####..###.###.#.#..#.#.#.....#.##.#.####...........#.#..##....####.######..#.........###.##..##...###.#..####.#####.##...#...##.###.#..##...#...###......##.####..##...##..##.##.#.##.#..##.##.....##..#..##...##.#.##....#####.#.#..####......#.###.#........####.#..#...##.#.#.#.##.#.....##.##...#.#.....##..#########.###...#.#.####.##.##...##..##..........#.##.##############.####.#..#####.#.#.#.....##....#.#.##.####.###.....#.#.###...####.##...##.#.#########.#.#.#.#...#.#.##.#...##.##.###.#.##...#.###.####.##.#...######.#.#.##.##...###.......#.#.##.#...##.######.#.###..#.##....#...##.#.....#..#.##..#.#.#..##.#..#.##.#..###...#.##........#....#.####.##...#.##..###.#.#.#.#....#.#..##.##.#..##...#.#####....##.####..##.#.##..####.##.#.#..##.#.####.#####.##....#.#.##.#.#.........#.#.##.#..######.#.#.......#.#..###.#.#.###....##.##..#.#..#..######.######.#.##.#.........##.##..#...#.####...#..#####.#.##.#.#...####..#
#..#.#.#....#.##..#.#.#......#.....##.#...###.#.##...#.#####.............#.#####.#.....#####.##.#######.###########.##.#.#..#####.#...##........##...###.#.#..#..##.##..###.#.###.######.#.....##....#####.##..#.#.##...###.##########...#####.##.#.####.##.#.....##...#####.#...#.#.########.##.#.##.###........#.#..###.#....####...##.##..####...#..#..#####.######.####.####..##.#..############..#.#.##......##..#.#...##..##.#.#.##.##.###.#.....##..##....##.##.....#.##.##.#..####.##......####...........#...#.##.#.###..##.###.#.####.......##.#....#.###........#.##.###.##.##.#.##.#...#..##.##..#.##.#.......##.#####.###.########.#.##########.#.##....##.##.#.##.##.##..#.###.##...#.##.#.....###...###.......#...##.###...###.##...####.####...###.##..#..##.#.....##..#.#..#.....##....#.##.#......#.####.###..#.######.##.#.#..#.##..#.#.#.....###.###...##.#####...###.##..##.##.##.##.#.#.#...#.#.#.#..#.#.###.#####...#.##.###.#..###.##..#.#..#.##.#...###.##.##
##.....####.#..##...#.######...##########.#.#....###.........##########.#######..#.#.#..#.#..#..#.#.#.#.............##.###.###..###.#....###.######.##.....##...###..#.###........##.......###..####.#.#.#..##.#.#..#.#.#....#..###.####..#.#..#.....#...#..###.###..###...#####.#.#....#####.##...##...##.#####.#.##.#######.##.####.######....###.##.##.#.#.#.##.#.#.##.#.#.###.##.#.##....#.##.#..##...####.##..#.##.###.###....#.#.#####.#.###.##.####.####.########.###.....#.##.#.#...##.#####..#####.#.#.####.##.##.#.##..###.#.#.#.#..#######.##.#.##.....######.#...##.#...#...######.###.##....#..##.##.#####.#.##..##.#...#..##........#..##.#.#.....##.###..##...##.....#.####.########....#####.....#.#.###.###.#.####.....#.#.#..###.######.###.##.#.##.##.###.###.####.##.##...###.###.###.##.######....#.####..##.##...####...##.#.#..##.#.###.#...###...###...#.#..###....#.##..##..#.##...#...#...#.#.#.##.#...###.##..###.#..#.#.#.##.#.#..##.#.##.##.##.####..#..#
######...#..##..##.##.#.#.####.##.##.#.#..#.####.####.#.#.######.######.#.......#######...##.##...#.#.###########.#.....#....##..#######.#...##.##...###.#.####.#.##.#.##..#.#.##..####.#######..........##.##.#.##.#.####.#.#.##.#....#.##.##.#####.###.#.##.....##...##.####.#.#.##.#.......####..###..####.#..#.#..#..##.####......#.#....####.........#.#.#.#.......#...#.#.#.##.#####.#........#####..#.#####.#....##..#.##.#.....#.#...#..##.####.#.....#..#.#.##....####.##.##.#.##.##...##.##.#.##########......##....##.##..#.#.#.#.##.#......#.######.###.###..###....###.###.####.#.##...####.#.##..##.#...###.##.##..###...##..######.#.##......#.#.##...##..##.######.##.#.#..##.####..#####.###.####.#.#####......##..#######.#.##....##.#..#.#..#......##.#....##..##..##..######...##.....##..##....#.##..##..##...##.##..##.##....##.#....#.#.#.#######.#.##.##.##..##.#.##..#.####....###.#######.#.#.#..#...####.....##...#.##.#.#......##.##.#.##....##.##.##.#.##
#....###.##.##.##..##...#.#.##.##..#...##...##...#.#..#####.............###.#.###.#..####.#...###.#.#.##..##.#.#####.##.###.####.#.#...#####.....##.##.#.###......##.#..########..#######....######.####....##.#.##.#....###.#.#..####...##.##...#..........####.##..###...#.#.#...##########....#.##...###.#.##...##.#.##.....####.#...####.#.#..#.#####.....#.###.#.#.###.#.#.#.##.###.##########.#.#.#.##..#.#..#.######.#.#######.##...#...##...###.#####.#.##.#.###.###..#.#..##...##..##.##...#.#....#.#.#...####.###.#.#...##...#.#.#.##.####.#....#.#....##...#.####.####.#.#.#.#.#.....##.##..#....##..#.##.###..##..##.#.###..##.#.........##########.###.##..###.#..###....#.#.##.....##.##..#..#####...#...########..##......##.#..####..#.##.#.##.#####.##....##.#..####..##.#.##.##.###.#.####.######.####.####.####.#...##.#..#####.#..####.#.#.#.##..#.....#...#.##.###.#..##.#..#.###.##.#.###.........#.##.####.##.#######...##.#.######.##.##.#..#.##.....#.#.....#
##.#........#..###.####......#..##.#.#####.#####.#.#####.#..#.##.####.###########.#.##......#..##.#.#.###.#....#..####.......#.#.#.#.#..#.#..#####...#.##########.##...##..##.###.##..######.#.#######.##.#..#.#.#....#####....##.##.###.....#.#.##########.#.....##.#####.#.#...#..##.#..#.####.#..###.#.#.#..###.........#.#....#####........##.####.##.###.#..######............#.#...##.#.###.....#.#..##...##.#..###......##......######.###.###.#.#.#..........#.#...##...##.####.##.##...##.##...####.#...###....#.#.####.#####.#.#.#.#...##..####.#.####..##.#####.#...##...#.#...##.##..#..##.###.##..##....#.##.##.##..#.#...#######.###.###.....#.#...#...##.##....##...####.#..#####.....##.#.##.#.#.#...###.##.##..###.######....##..##............#.#..####.######..##..##....##......#.#####..##.#...##....##...#.#.###.#..##..##.....##........#####.#####.#.###.#..#.####.##...##.##...#.#.#.#####.#####.......#.##.#...#.###.#.......##..##......#######.#.#.##.####
#..####.###.#.##....####.###.##.......##...##.##.#.###.#...#######..####..##.#..#....####.#.##............##.#...##.#..####.##.....####.#.##.#..###.##.###...#.....###.##.##..#.#..##.#.#.........##...#####...#.###.##.##..##...........###.###.#.##.......####.##..#.#.#.#.######..#.##.....##.#.##.#.......##...#.#.###.######..#....#####.######....####..#.##..#####.#####.##...###.#........#.#.....##..#......##.######.#..####...##.#.#.#..##.#.#.####.#####.#...######.#..#.#......###.##..##.##.#..###.#...##......##...##.#.......##.####.##.....##...###..##.....######.#...########.#.##...#...##.###.#...##.....##.#.###..#.#..###...#.#####...###.##.##..###.###..#..###...####.####.###...##...####.##...##..##.##.....#.##.#####..########.#.#...#.##..#...##.#.##..##..##########.#..##.#.###...#..##.#####.##....#....###.##..#.#..##.#.###....##.#........##.##....#.#.#..###.....###...#..##....##.##.######..#.#.###.##..##.###.####.#..###.##.#..##.#.........#
####....###....###.##..###....####.#######..#....#.#.#.#.#..##.###.###.##....##...####....#.#####.#.#.#.#..#####......##.......######.#........##........###.####.###......##.....###.#.####.###.##..#..##.###.......##..#.###########.###....##...####.###...##..##.#.......##.#.##.#.##.###......##...#.##.##..#.#####.####...##.######......##..###.###.##....#.##...###.##...###.#...#######.########..##.######..#.#.##...####.##.###......##..#.#.#.#..####....#.#.##.....##.#.#####.##.#..##.#..##.##..######..#####.#####.##...####.###..##..######.##.#...##.##.#.#..##.#..###..##.#.......###.#.###...######..#####.##.#..###.....###..#.....##..#.........##..##...##.##...###.##.#..........###..#..#.#..#.#.###.....#.#####.#...#.#..##.#.##.#####.#...###...#.##.#.###..##.#..##.##.....##......###.##.##.##..#.#####.####.#.#..#.#####..######..####..#######.##..#..####...##...#####.#.###.#.######..#.#...##.###.......#.##.###...#.#.##.##.#.#.##.##.#######.######
#.#######.####.#.#.###..#####..##..#.#.####.####.#.#.#.######......#.#....##.#..#....########.##..#.#####.###....###.#########.##.##..#######.#####.#.####........#.######..#####.##..#.#..####...#####.#....#######..#.####.#...###.#.######.##.#..#.#######.###.#..#####.###.......#..###.######..#####.#...######..#..##.#.#..#.#.#.#..##.#..##.#.#.##.....##....###..##.##.#.#...###.##....########.##.####......##....##.##.##.#..#.##.#.#.#..##.#...#.##..####.###.######.#..#..##........##..##.#..##.##.#.#####..#...####..######...##..####.#...##.#####.###.#######..#.##.#.#.##....##.#.##.....#.#.#.#.##.##.#..##.#..#.##...#####.######.###########.#.#####....###...##.##....#.###.##.##.########.#.#.####.#.##.##....##.#.###.#.##..#.#..#.##.#..###..##.######...#.##.#....###..###.#.#..###.######..#...##....#.##........#.#########..#.#.##.#.#..##.##.....##.#.#####.#....#.##.#..#.#...#.#.#.##.##...####...##.#.####.#..#...#####.........###..#....##....##...#
#...##.#...#.#.#...#.##..##.#.####.#...#.##.#.##.#.#....#.##..####.#.######..##.##.####..#.##....#####.#..##..#.##...#.............#.##..##.#.#.##..####.####.###...##.#.#.###.##.###...##.##.###..##.#.###.##.....#.##..##..###.....###.#.#..##.##....##.....#.#.##..###....##.#.##...##...##.#.##...##..###..##.###.##....####.....#...##..##.........#.##.##..######.##.....###.#..#...####.##.#.#.#.##...##.##.#.#..#####.........##..#####...##....###..##.##.#.##...##.##.##.#.##..##.###..##....#.##..##.#..##.##...#..#...##....###.#..#########....#.#...#.#..##.###.##..#...#.####.#####..#####...#.###.#..##.##.#..##.#.####.#.##...##.##..##.##.##.###.###...###########.#####...#.#######.##..##...#.#..##....######.###....##..#.###.#.##.#....##.####.##..#.##..###.#..###.##...##.#.###.######..####...#..###.##.###.##.##.....#.#.#...##.#.##.#.#.###..####.##........###.######..##...###.#.#...##..##.##.#..####.#####..##...###..######.#.#..###.##.#######.##.###
#.###..###...#.##.##....##....##.#.#.###.#.......#.###.##.#..##....#.#.#.###.####..##.##.#.#..#.##.....##.##############.###.##.##.#..##.#.......##..##....########.##...#.##..#....#.###.....#.##.##........#####.#..##.#..##.#.#.#..#..#.##..#######.######.#.#....##...############..##.##.......#######.#.###.#.#..####.##.#.###.###########.#.####.####..##.##.....######.######.##.###.#.##...#.#.##.#########...###....#######..##.######.######...##..#.#....###.##..#........#######.#.######....##.##.#.##.....#.##...#######.#.....##.####.#####...###...#.##...#...##.###.#.#.##.##.##.##.##..#....##.##....##...##.....##..#.####.#..##.###.##.....##...#.#.###..#..##...##.###...##.###...#.##..#.....######.#.##....##.##..##.#..##...##.###.#####.#...#.##..##..##.##.#....###.......#.......##.#.#..####..##.....########.#####.#.#.#..#.#.##...#.#.##.#.##..##.#########.#..##..#####..##.#...###..###......####...##.##..#.####..##.###..######.#.....##........#.#
#.#.##.#.###.#.....####..####.##.#.#..##.###.#.#.....#..#.#####.##........#..#.#..###.#....#########.#.....###.#.#....###########....###.#######.##.##..#.##.........#.#...###.####.#.#.#####......#######.#..#.#....##..##.##.#.####...##.###.###......##....#.###.#####..###.#.#.....##...#####.#..##.##....##......##.......####..##.#.###..######.#.##.####..######....#.###.##.#.#........####.....##.##..##.#..###.######.....##....#.#.#...##.##.####.##.####..##.###.##.#.###..##.###.#.....#####.##.#.....#####.#.###.##..#.#..#####.....##...##.##.##.##.##.####...#....#.#...#.####.....##.#######.##..#####....#..##.######.#..###.##.#...#...#####.##.#####.....##.##..###....##.##..#.##.##..#.####.#####.##....####.##..##.#..#.####.##...##...##..###....##.##.##..##.#.#####..###.###.#######....#####.#.##..###.#.##.##...#.##...####.....#..###.#.#.......##....#..##.#.#.###.###.###..#.###...##.....#.#.###.###..#..##....#...###...##..#.#...#####..#####.####.#
#............#####..#.#.##.#.....#.#.##..#.###.###.#...##..##.#####.#####.##.#.##.#.#.####..##.##.########.#.#.#.####.#.#..###..####.##...##.....##..#.########.##.#.#####.#...##.#.#.#.#.#.######.#.#..#####.#.##.#..##....##.####.###....#.#...#####.####.#...#.#.#..##.##.#.#.#####.##.####.#..#.##..#####..######..#######.##.##.##.#.#.##..#.#.........#.##..##..#.##.#..##.#......#.##.#......#.#....#..##..##.##..##...###.#....####.#.###.##.##..#.#.##.##.#.##...#..#######..##..#.#...#####......#.##.####.#.###.#...###...##.#..##.#######.##...#.....#.##.#.#..#.##.#...##.##.#.#..#.#....#.##.#...##..#....##.##......##.....##........#.#.###.###.##.#.##..#####..##.#######.#...##......##.####.##..#.#...###.##.##..##..####.#..##..####.####.###.#.#.#####..#..#.###.#.#.#.#.##...#.#.##..##..######.#....####.....##..##.##..###..#.#####.#.##.....#######.#..####.##..#....#..##....##.#.#.#.####.#########.#.#.##.#.#####.##.###.###.##.##...########.#.#.#..##..#
#####.#####.##.####.#.#.##.###.#.#....##.#..#########.###.###..##.###......#.#..#.#.#...#..##...#.#.#.#..........##.#...##.#.#.##.#...###.####.#.###.#..###...####.#..#.##.#.#..#.#.....#.#..#.#.#.#.##...#...#.##.#.######..#..##..#.####...##.##...#..#.#####...#.#.##..##.#.#.......##.#.#..#.######.#.#...###.##..##.##.....#.........#..##...#########.#.#..####...##...###...#.##########.###.######.##.###.##..#.##..#####.##.#..##..#.##..##.#..##.#.##.#.......#.#.##.#.#.##..##.....#####.######.#.##.##......##.###..####.#..#.##..#..##.#.####.#####...##.....##.#..###.##.##.#.#########.#......#..##.####.##..####.######.######.#.####.#.##..#...#....##.##.#.##.##....##.#.###..######.#...##..#..##.###.#.#.##..##..##..##..##.#..##......#...##.......#.##.#.##.##......#.######.#.#....##..##.##...##.###..#####.###.##..##...##.#.......#..#####.#.##....#.##.#...##.####...##..#####...#.#.###..###.##.##.#.#.#.....##.......##...#.#..##.####.........#...##..##
###.###.#....#.#.##.#....#...###.#.#####.#.##.##.##...#.#...##....######.#...##.#.#.###.##..###.....#.#####.##.#.##.###.........#.##.##.....####.#.....##.###....####......####.#.#####.#.##.#.#.#.#..###...#.#.####.#..####...####...#.####.....###.#.##.##.####......##..#.#.#######.##.#.##.#...#.##.#.###.#.#.#..##...#####.##.######.#.#####......#.##.#.##.#..########.#.#####.##.....#.#########.##.##...#.#..##..##...#.###..##..##.#.###..#.#.##..#.#..######.####..#.....#..######.##.#.#.##..#....##..#####.#####.##..###.##....##.#.###.#...##.##..#.#######.######.#...##.#..#.#..##.###.#####.###..#.##.#..####.....##.##.##.###.#.###.....##.###.####..#......##.###.###........##.#.#....#..##.##.##.##..#.#.#..####.##.###.##..##..######.###..######.##.#..#.##.#..###.##.##.#...#.#.######.##..###.#...#..##......#...#.####.##..#######...##.#.#.#.#####.#..#.#.####.##...#.##.####...#.......##.#.#..#.##...#.###.###..##.####..#.....##..###..#######.##.###.###
#....##.####.#.#.#..####.###.###...####..#..#.#...###.....#######....#######.#.......##..#.##.#####.#..#..######.##..####.#####...#...###.#.#....##.#####...####.##...####..#.#.#.#.##..#........#.##.####.##....##....##..###..#.###.#......#.#.##....#..##.#.######.####.#...##...........#....###..#.......#.#.##..###.#.##..#####........##.######...........#.##..##.#..#.##.######.##...##...##.#.....###.....##..##..#.#..###.###....#.#.##...#..##.#.##.##.#...#..##.#####.#.##.#.........#..##...#.##..###..#.##.#...#.##....####.#..#.##..###.#...##.#.#.....###.#....#.#..#.##.#.#.##....#.....###.#.##..#.####..#####.##.##.##...#####.#####..#...#.#..##.#.##.###..#...#.##.#####.##.....#.###.....#.##..##.#.#.#.###...##...#..##.#..##.......##.##.###...#.#.##.##.##..####...#.###.#...#.#.#...#.##.#.##.##.########.###.#.##...##.###.#.####.##.#.#.#.#.#.#...##.#.###...###.####.##.###.####.####......##.##.###..##.#.#####...###.#####..##.#.####.#.##..##...#...#
####.#..#......#.##......##..#.#.###..##.##.#.###.##..###.##.##.####.#.##..#...#####.###.#.##.#.#.#.##.#.####.#...##.#.####.#.###.#.#####.####.#.....##.##.##.#..####.##.##.#...#....##.#.#.#.##...##.#..#######.####.##..##.#.##.##..######.#.#....##.##.#....#.##.#.#.##.##.###.#.##.####.####...##.#######...#....##.#...###.#.#...#.#.##.##..###...##.####.#....##..#.##.#.#....##.######.#..#....#####.#######....###.#####..####.###.##...##.#...###.#.##.##.###.#.##..##.......#.######.####.#######..##...##.#.##.###....####.#.##...##..##.......#..#.....###.#...#########...##.#.#..####.#####.###....##.#..#.##..###..#.....####.##.#..###.##.###.....##..#..###.##.###.#.#####.....##.#.##.#.#####.#.#..##..#.....#.###.##.###.##..##..#####.###..##.#.###.....##.##..##...####...#.....###.#.###.#....#..#.##..##.##...#......###.#..##.....#.#..#.#.#.....#.#.####.....###.....##.#..#..####.#....###.#####...#.#.##.##.#..##.#.###.########.......##....###..##.##.###
#....##...####...#######.###.......#.##.....#..##.###..####..#..##...#.###.#.#.#.###............#.#.#.....#.#.###.##.#.#.......#....#.#....#########....##..#.#.##....#.......#...####..#.########....#.##..#....#.##..##.##....#..##.##..###########.....##.#..........#..##.#.###.#..###..#..#.###...#.######.####.#..###..##...#######.##.###.#.#.######..######.##.##.#..#.##.###.....#.....#####.#.........#####.##.....##..##.#..#....###..#####.#.#.#.#..##.##..#.###..##.####.#.##.##....##...######..##.##....##.#.###.##....#..###..#.############.###.###.####.##..##..####........###....##.#.#.##.###..##.#.###.#.##.#####..##..#..##.#.#..#.##..###....##.####.#...##.#.#.#.#####....#.#....###...#.##..##.#.#####..##.#..#.#.###.###.##..#.#.##.##.#.#.#.#####...##..##.##.####.###.####....#.#.####.##.#.#..##...###.##.##.##.#...#######.#.##.#...##.##...#...#..##.########.##...##.##.#....##.#.#.#.#.##.##.#.#...#...###.#..##..##....#.##########.##.#.##...#...#
####....###....#....###....#.##.##.#..#####...##..#...##..##.##.####.#.#.#.#####...#####.#.####.#.#.#####..............####.##...##.#.####..#.#......#.##..##.#.#########.#.#####.#..##.####.#.#...##.#.###...##......##..#####.#.##...##.#.#.##...######..########.###.#.###.#.########.##.##.....#.#............##.#.##...#####.##.#.####...#..#.####..#..####.#..##.##.#.##.#...######.########.##.########.##.....####.###..###.##.####...##.##....#...#.##.##..##....##.#####.#....#...#.#####.###....##.##..####.##...#.#.###.#.#.##...##.#.##..........##.##...##..##.##..##.###.##.##.#.###.##..#.#.#..#.##.#..#..........###.##..##.##.#......##.#..######.###.##.#.#.####.#.#.#..#####.#.########.###.#.##.##........##.##.##...#..##.#....##.................#...##.####.##.##..###.#.#.#..##.###.#.#..#........##..###.#.####...#.###.##..###.#.##...#########...###.######..##.#..##.##...#.####..#.#.#.#...##....#.###...#.#...#.##..######....##.#.#.#..#....###.##.###
##.#######..#.#####...###.########...##...###.###.###..#.##..#.......#.#...##..###.###...####.#.#.#.##.########.####.####.########......##.##.#####.######.##....#.###.####.##....#.###..##..#.##.###...#.###########.###...#.#.#.###.##..#.#..###........###.#..#####..#.##..#.#.##.###..#.###.####.#.#.########.......###..##..........####.##.#....##.##.##.#.##.#...#....#.###..##.#..#....#.#.##..###.....######..#.#.#.##.##.....#....#.......##.###...#...#.###.####....##..####.###...#.##....####....##.####..####.#.....###....#.#..#.#.###.#######.#...#.####.##...##......######...........##.#.##....#.##.#####.#.##......#.##..##.######.##.#####............#.#..##..#.#.#.##...###..##......#.........##.#####.##..#.##.###.##..#.######.##.##.####.###...###..#.#..##..#.##.....#.#.##...##.#.##.###.####.###.##.....##..#...##...##.#...#..###...##..##..#.#.#..#.#.##.#..##.#...###...##...####.#.#.######.##.##..#####.#.#.#..###.#.####.#..#.#.##.####.....##...#
#...#####..####.....#......##..#.##.#####.###.#.#.#.##.#..##...#####.#.###..#.##.......###....................####...#.#...........###.##..#..##....####.#....#.##.#.....####..##.#...##.###....###.###.#.##....###.....##.##.#.#..##.##.##.#.##.########.....#.##.#.##....##.#.#.##.#.##.......##.############.#######.####..##.##.#.##.#.....#.##.###.............###.##.#.#..###..#.##.####.#.#.##.##.#####.#.##.##...#.#.#...#####.###.##.##.##.#......#.#.###..#..##.##.#####.#.....####.#..##.####.##.#.....#.##..#.#.####.#####.######.#.#.#.####........###..##...##.##..####..#.#########.#.#..#.#..##.#.#.##..##.###########.#..##.##..##.##..#.#.#.#.####.#######.##..##...#.#.####.##..########...##.####.##.#...#####........#..##.#..#..##########..#####.#...##...##.##.##.####.#.#.#.#..###..#.....##.######.#..####.####.#.###..####.###.#.##.###..##.#####...#.##.#.##...###.#.####..######.#.#..#.....##.#....###..#.##.###.#.##.#.#..###.#.##.#.##....##.##.##.###
#.#.......##.#..###.#.#.##..##.........##.#............##..######......#.##....######.#######################..#...###.###.###.#.#####.###.#.####.#..#.#.#.#######.##.####.#..##....###..#.####.##........#####.#.#####.....#.#.#.##......#.#.##..##.##...###.#.......###.##..#.#.##....#.#####.....#.#.##......###...#.#....########.##.#####.#.##...##.####.#####.#.#.####.#.##.##...#...##.........##.#........#....###...###..####..##.##..####.##.#.###....###.##........##.#.#.###..##....##..#.#...###.###.#.#..##.#.##....#.#....##.....#....#.########..##.#####..#..########...........######...##.####...##.###..#.##.#.......##...##.#...##.#.#.#.###.##.##..#.#.#..#####...#.#.#...#.###.##....#######....#.#.###..########.##.##..#.##.##.#.#####..###....######.###..##.##..#.###.#.#.#.##.##.#####.#......##...##.....#.#.####..##..#.#.....#....##..#..###..#....#.#..###.##..#.##.#.##..##....##.##.####....####.##.#..#..##......#.#.##...#.#.....##.###..##..#.#.#
####.##.###....##...#####..#########.###..##.#.##.#.##..#.##.##.######.#.####.##.######..#...#.....#####.#####.###..#..##..##..#.#.........#..#.###.##.#.#.###.##..##..##..#.######...##.#.###...#####.##..##...........#.#...#.#.#######.#.#.###.#.....###...#######.###..##.#.#..####.####....##.##....######.#.###.#.###.##..#..#..#...#.##...##.#######.####....#...#.#.....#..###.##.##..#.#.#.#....########.####.##..####..##..##.########....######...##..##..##.##.####..#.####..####.#####...###.##..#.....##.##....###.##.###.#######.#.#.##.#...#..#.##......##.##..##...###.#.#.####..#.#.#.###...##..###..#.##.#.##.#######..###.##...#..........##......##.#.#.##.#.#.##.##.#.###.###...########.##.#.##...#...##.#.##......#..##.#.##.##...#.##..##.##.#..##..#...##.......##..#..#.#....#.##..##...#.#########..#####...#..#.##..##...#####...#.####...##.##.######.#.##....#.##.##...#..##..####..##.##.####.#.##.##...##.###.######.#..###.#.#.#####....######.#...#
##.####...##.#########.###..#...####.####..############...##.##.##.###.#.#.#...#.#...###.###...###..........##.#.##.#.###.####.#.##.###.##...##.##..#..#.#.#.#..#.##..####...##.....###......##.##..######..#####.###########...#.#.###.......#.#.###########.#.#.#.#.#.#.###.#.##......##...####..##.####.#......##..#.##...##.##.######...####.##.#.#.#.#.##.##.#...#...#####.##.#.#.#...##########.##.##.#.##...#....##..##..##..##..#.##.#...####.#.####.#..####.#...#######...##.##..##....#.###..##..#.#####.###.##.######.#.......##.###.#.####.###.##....##.###.#..#..#####.#.########.##........####.#..#####.#.#........#.###..###...##.#######.#.#..###.#.##..#.#.##.#.#.#..##.#.##..#####.#..####.....######.#.####.#....####.#.##....##.####.#.#..###.#####..##...###..#########.##.....#.##.#..#####.#.#.##..##..##.#.###.##.#....##..#.......########.#.#......#..##.#.#####.#.#...##.##.##..##..##..#.#...##.....#.#..###..#.#..##.##.#.##...........####...#.#....###
#.......#..####.##.#.....##.###......#..#.##..##.#.#..##.##..##.##.........###.#.##.##.#..###.#############.##........#.########.#..########.....##.##...#.#.##....##.#############.#.#####.##..###..##.##.##..####.##.#...##.#.#.#.#.####.####.......##..........#.......##..#.##.#.##....#######..#..##..######.###....##.###.##..###.###.#.#.......#.#...##..########.###.##.##.....#.###.#.#.#.####........###.###.##..##..####.###.#.##.#####.......##..##.##.#.#.####...####.....##..###.##...##.##.#####....##..##..#.#...#######.##...#.#..#.#..#...###.###.#.####.##..##.....##.#.#......######.#.##.##..#.##...#.######.....##.#...######.##.#######.#.###..##.#.#.##...#.##..#.#..##....##.##....#####.##........#.#.##.#.#.......#.####..#.##.#.##.#.#...#.##.##.###.##....###..#.#..###.####...###......#..##.#..##...........##.##########.##......##..#######.##.##..#..#.#......#.##.##.#..####..#.##.#.######.###.##...##.#...##..##....######.#######.#.###.#.####.#
############.......#####....##..####.##.#..##......##.#..##.##...#########.#.#...##.##.##.....#..#...#......###.##.##....#.##.#######..#.#...#.####.####.#...####.##...##.#..#.#....#.#.##...##.#.#.##..#...##..###.##.#.#..#.#........##...#.#######.#..#.####.#.##.#.##.#..##.######..#.###...###.#.###.##.#.#....###.##..##...##...#.....#.#####.#.....#....##..#.#.#.##..##.######.#.#.#........######.#.#..#...##..##.##.##....#.#.#.##.#.########.##..##..##.#.#.##...###.#####.##..##....##.##...#..##.####.#..####.#.###.##.##....###.#.#.##.##.###..#...#.....#.#.##.#######.#....##########......#..###.#..###.###.#.######..#.##.###.#...##..##.#.#.#..##.###.#.#..###....#.##...###.####...####..##.#.##.#.##.###.#..######.##.#.#.#..##.#.##.#......###.#.......#.#.#..####.##.#.##.#....#.#.#...######.#.##..#.#############.##..##.##.#.#####.#####..######.#..#..##.#.##.##.##.##.##.##.##....##.#.#......##.#...#.###.###.##.###.#####.###.#.#....#.#..#..#..#.###..#
#.#.#.##.#.#######.#.....##.#####.....#.##.#######.#....##..####..##...........###...#.#########.###.##.###.#...#...###.##.##..#######...##.####.#....#..##.##.#.....####...##.####.....###.###.#....##...#####........####...##.#####.###.##..#####..##.#.#..###.#######.##........###.#.#...#.......##..##.....##.##...##..#.#..###.#####.......####.#######..##........##....#.##.#...#.##.#.#.#.#.#.#######.#.#..##.##.##..####.#.#.#..#...#.#.#.#..###..##.##......###.#...#.##...##.##.#.##..#..###.##.......##.##.#.#..##.#..####.##.#...#.##.##..###.##.##.#####.#..#..##.....####.###...##...#.##.##.#.#.#.###..##..#..######........#.###..##.##.#...#.##....#.#.#.#######.#..#.###.#..##..#.#.###......######...##.#.##..#.######.#.#.##....##.##.#######.###.##.##.....##....#..#..######.#.###.###.#.##....##.#..##.##.........#.###......###.#..##...##..#.#.#.##.##..#.....#.##.####..##.#..##.##.#...######....#.#..##...#.##.....#.#.#.##....#.####.##.##.##.....##.#
#.....##.#.##........#####...##...###...##..#.#....####..#.##....####.########.#####....##.##.........####....###.###......###.#.#..#..#......##.####.##.##.##.##.#####.###.#.......###.....##..###.#####.#.##########...##########.....##.##.##...##.######.##....##.##...#.########.###.###.###.###..##.########.....#####.###.##.#.###...##.##..#.###.#.#...##########.#####.#.##.###...########.#.#.#.##....####........##..##......##...#.......##.#.####..###.###..##.##.##....#.##.####..##.#.##....#######.#..##...##.##.#.##....#..###....#.##.##.......#.#.#.#.##.#.#######...##.#.###.##.#.#.#.......#.#.#.##..##.##.#...#..#.#.#.##..##.##..##.###...####.##.#.#.#..###..#.##.#.#.##.###.#...#.######.#.#.#..#..#.#..##...###.#..#.#.###.###......##.#.#.#.###...#.#########.#.##.##...##.#.##..#.#...####.##....##...#.#.##.##.....#.####.#.....##..####.##.#....#..##.##.##.#.#...##..###.##.####....#...##.##.#####.##..#.#..#.#####.#.#..####....#.#....##..###.####.#
####.###.#.########.##..###.#######.###.##.##.####.#..##...#####.##.####.###.#.#.##..##.#...########.##....########.#.#.#.##.#.#.##.########.###.#....#.....##......##..##....####.##.##.######..##..##...#..##.#.##.##.##...##.#.#####.....#..###.#..#.#.#..##.##....##.#......#.##..###############.##...##.#.#..###..##.#..##....#.#.#########.##.#...#.###..##.#.#................#..###...#.#....#.#..####.##.#.#.####.##.#####.##########.#.##....#..##..##.######.#..##..###.##.....##..##.....###.##.#.#.....##..###..#....#####.#.##...####.##..#######.....#.#.#..#..#.##.#.#....#..##.########.##.##.......##.##..#..###.##.#####.###.#..###..#.#.##.##....##...#.#.##...##..#.#.#.#...######...#........#...##.##.#.#####...#.##...#..#....##.##.##..#.....##..#.#.#.#.##.#..#.#..###.##....###.#.##.##.##.##.#.##..#############.#####.#..####.####..##..##.###.##.##...#..###.##.##..##.#.##...#####.######....#.##..##.#####......##...#.##.##.####.##.####.##....#.#.#
#..#.##.....##.########..#..##.###..##...#.##.#......#####...##..##.##...#.......#####..###.#.##.#.#.#####.##.........#.#....#...#..###.#........#.##.#####..#####.##..##..#.##....#......##.##.##..#####.##.##.#.#......#.###..........#.#...##...##.#.#.##..#######..#####.####..##.#..##..##..##....##.###...##.####....##.##.##.#...##...##.#.#..###.#.#.##........########.##.##.##.#.###.#.####.#.#.##.#..#..########.##.#.#.....#.#.#....#######.#.####..#..##.##.#.###.##.###..#.#####.###.####...##...##.##.###.#.##...####.##..#..###....#.#..#####.##.#####.#.##.#.##.#..######.#.##..#.#.#.#############.##...##...###..####..#...#..##.#.#.##.#.#...####.##.###.#..###.##.##.#.#.#.###..#####.########.##.######.#.##..###....###.#.##.#######...##.###.#..####.#...#..#.##.....##......##...#.#.##..#.#.....####.####..#.##......#.#..##.#..#.#.##.##..##..........###.##..#####.##.##..#.##.###.#.#..###.#.####.###.......##.##.######...##.##.##.#.##..##...###.##...#
##...#####.##.....##..##...###.....#####....#.######..#....#.#..###..###.#.####.##..###..#....#.........#####.#.#.#.#.######.###.##.#.....#.#.##.#.##.....##.##.#...##.##############.###.#...#..##.#.##............#.##.....########.#.###.#.####.##.#.#....###.#..##.#####.#.##.##..##.###..##..##.#......###.####.#####.#...####.###..###......#.##.#.#...########.##.........###.............#.#.........##...##........##.#.##.#.##.#.###.##...##....#####...##..##.#.....##...#.##.##......#.#..#.#..###..####.#.#.#..##.##....###.##..#..####.#.###........#.#.......#.##...##..#.....###.#.#.....#.##.##..##.####..###.#...##.###.###.##.#......##.#.###.#....##.#.#.##.#.#.....#.#.....##..##.##..#####.##.##....##..#.###.#.##.#.....#.#...########.##.##..####.##.#.###.##.##.##############.#.#....##...##.##..##.....##...#..#.#.##.##..#.##.#.#.##..##.#######.#####....#.##.##..#...##.#.#..#.#.#...##.#.#..#.#.#.#.##.####..####.#.#..###.....##......####.##.#..##.##
####.#.#......###....#####...#.#.#.....###.##..##..##...##.####.#.##.....###.##.##.##.##.####...##.#.##.#...#.#.#.######.#....#.....#####.######.#.#..###.##.##.#.###...###.#.#..##.###.....###.##....########.#.#.######.####.#....#######.#.#..#......####.......##..#.#...#.##..##.#...###....########.###....##....###.#.####.#.##..#####.###.#.#..#.#.#..........###.#.#.#.###..#.##.#.#.##.....##.#.##..###.#########.#..#.#..#.#..#.#.######....##..##.###.##.##..####.##..#####...######.#.#.####.##.##.##...#.#.#.###.####.##....##.##...##.#.#.####.###...####.####..###..##.#####..##...#####.#.#.....##..#.#..##.#.###....#.#...#.##...####.##.#.....#.##.##...#.#....##.####...#.#.#..##..###..........##.######....##.#.########.#.#.###.##.#.......##..##..#..#.#.#.#..##..####..##.##.###.##.######.#####.####.#######.######.#..###...#....#.##.##...##..##..##.####.......##.#.###......##...###..#...#.##.#.#.#..####.##....#...##.#.#####..#.#######.#..#...###..#
####...##.##########.##..##.#######.####....##.##.#####.##.###..#.######.##......#.#..........###..#.#....#.#######..##....##.#####..###..#..##..######.#.#...#...##..###.#.#...###.....#.#..##..####.#.#..###.#####.#..#.#.##.##.####.#....####.######......##.##.###.#.###.#..#.##..#.#.#.####..#.##.#...#####.####.##.....#.#.....##..#..###.....##.#.########.#####.#.#.#.###.######..######.########..##......#.##.###.##.#.#.#####.#....#.#####.##..##...##..#.###..###.###..#.####..#.##..#.#.#.#..#..##.#..###...........##.###.#.##.##.###....#..#.######.###...#.##.##.##.##...#...#####.#.#.......###.###.#.#.##....##..##...###......####.#.##.##.##.####.##.###.####.#..#.##.#####.##....##.##########.....##.#..##.##...#.##.......#...#.##...####.##..####.##.#.#.#.#.##..##..##.#..##.##..##..#.#...#.##..#.#...#.##...#.#.#..##.#.#.#.####.#.##....#.###.#..###..#.######.##......##.######.######.#.###.##.#...#.##..#.##.####.####.#.##..##......##.#.##...#.#.##.#
##.###.####.###..#......###..##.#...#..####.##..#.#.#.###....##....##.#...######...#####.#.##...###########.##...###.#..#.###.#.##..##.##.##.###..#.##....###.##.##..##.#.....#.#.##.##.###.####.##...#.#.##.#####...##.#.#.#.....#.#..##.#..##...#.#####.##..###.........#..#.##.###...###.#.###....#.###.#.##..........###.#.####.##..##.########.......#.#.....##....###.#.#..........###.#.####.#.############....#..........#.##..#.##.###.#..######..###..##.#..#..##....###.#..####.#..##...#.#.##...##..##..######.###.###...####.##....######.#.##.##...#.#.###...##.#..##.####.###.#.##..#.##.#.#.###........#.#..#.#########.#...#.#.##..........###...#.#.##..#...##....##.....#.########.##....#...#######..#.#.########.#.####.#.#...###.########...#.##.......#.#...#..##.##.##..##.......##..##.###.#.###...#.#.#..##.##.#.##.#..#.#.#..##..#..#.######.#.#.##.#.##..###.#.#####.####....##...##........#.##...#.#..##.#..#...#...##..#..##.##.#.#.###.#..###.###.#..#
#..##..#.#....##.####.#.#.##.#..###...##.....##.#.#.#.#####.##..####..##.##.#.###.##..####.###.###.......##.##.#..#....#####.....##.#..#####...##.#..####.##..##.#..###.####.##.#..#######...##..####.#.#.##..##.###........#####.#.#.######..###.....#.#####.####.######.##.#.....##.####.....#####.....#.#.##.#.#.#.#.####.#.#.#...##..#..#.##.#######.##.##.#.######..#..###########.##...#.##.....#.##..##.######.#####.#.##....##.#.....##.##...#..#.##.#.##....##.######..##...##.##.#.#####.#....###.##.##..##.##.####....###..##..##.##.#.##.#.#..#.####...#.#.#.####.##.#..#.#..#......#.##..#######.###.#.##...#.#####..........#####.######.###.######......##...######.##..###...#.#.#....#####...#.........##.#...###....#..########.##....#.##..#.#....####.####.#.###.##..#...##..######.##..##...##.#.#.###.#.####.##.#.....#.##.#.####.###.#.##.#..##...........##.##......#.#...#.#.#####.#.####.######.#..#####.###.#.##.###.###..##.##..#..######..##.##...#..##.#
##.###.#...##....#.####....#...###..#.######....#.....#.##...##....##..............##.#..###.###.#######.....####.#######....###....##.#.#.###..#...##.....##.#....##.#.##.#.#####.##......#..##.#....#.#.#..##....#####.#####..#......#.#.##.#.#####.#..#..###.#####..........#####.....#####..#....###.#....#####.###.##.....#.###..##.##.#....#..#.##.....###.#....##.######.##.#.#...###......#.#....#.##...............#.#..#.##..####.##...#.#.##...........##..#.#.#.#..#####.##..#.#..#.##.#.####.#.##.###.##.##..#.###.##.##....#####.......#.#.##..#####.#.#.#.##...#..##...##.######......######.......#.#..#.....#.####.#.#.#.###...#.###..#....#..######.###.#..##..#..##...#.#.#.#.####....####.##.##.###......###.####.#.##.##.##.....####.#..######.###...#..#.#......##.#.#####..###....##..##.##..#.#.##..#..##.....#####.#.##.#..#.#..#..#.#..#.########.######...######.#.###.......#.###..##...##..#.##.###...#.#.#.##..##.#.##.##..##.##..#.#.##.#...##.##.##..#
#...#..##.####.#....##..##.###.#.#.####.###..##.#####.#.#..######.##..#.#.########.##.#.####.##..........#.#..##..##.##.####.#...##......#.#.##.###.###.##....#.####....#.....###...#########..#.##.#.....##.###.####....##..##.##.##.##.#.#.....##...##.##.##...##.##.#.##.##..#.###.##.#..###.######.....#.###.######.######.#.###.##..#..####.##.#.####.#..#####.#.........#..#.....#.#...##.######.#......####.###.####.#.####..##..##..##.#####..#####.#.#.#####.#.#.#.#.##.#....##.#...##.#..#..##....##.#.......##........#.##.##...#########.#.#.##.##............#.#...####.##..##.....##.#..#.#.###.#.########.#####.#.##########.#####.....#####.#.##..##..#.###.####.#.###.#####.#...##.###.##..######..#...#.####.#..##....##.#..#####.##..#.##.#.#.##...###.#.##.#.######.....##...##.###.###.##...##.#.#..##...#######.##......#..##.#.##.##...#.##.#.#.##.....#..##.###.##....##..####.##..##.#####..##.#.#..#.###.#.#...##.##..#.#...#.##.....##.#.#..##.###.##..##.#
#.#.#.#####....##.#....##...........##......###.##.#....##..#.##..###.########.#.#.#..#.##...#..######.#.####.###.........#..###..##.###.#.#.....#...########......#.##.##.####.###..#.#.##.##.#.########.##.#.#.#.#..##.##.##..#####..#.#...#.#..###.##.#...###....####.##.##.##..##..####.#.....#.#####.####.#..###.###.####.#.#.#.###.##.#.#..##.#.#.#..####.#.###.#.#.###.##.##.#.##.#.#.####......#.###############....#######.###.###..#..#.#..####...#####................#.##.##.##.##..##.##.#####.#..###.#######.###.###.######.##....##.#.#.#.##.##.###.####.#######.#.#...##..#####..#.##.....#.###.#..#.###.#.#.#.#.#.#.#.##...#.#########........##..##....#...##....##...#.##.##.##..##..##.####.#########.###..#.######.##.##.#.##...##...##.#.#.#..###.#.#.#..#..#.##..########.##.#.#..#...##.##..#.#.###.###.##....#######.##..#.#.##..###...##...#.#..#####.##..#.#.#..##.##.########.##...##.#.##....##....##.#...####..##.#.###....###.#.#....##..#..#...##.#..#
###.....###.#.###########.###.##.#.##########.#..#.####.###...###...####...........##....###.#######...#.#......###.#.#.#.##.#...#####.....#####.##.##.#.#..####.######......##.#.##.#.........#.#.##.....##.....#.##.#..#...##.#.#...##...#.####.#.#.##.##.##...##......##.#..#..##..###.#.#####.....#....##..#.##..............#.#.#....#.#.##.#....#.##..##....###.######.....#########.###.###########.......###.##..#.##........##.#.#.##.##...###.#####..###########.#########.........##.#...#.......#.##...##.######.#..#...##.....##.####.#...#.##..########....#.##...#.###....##...#.##.#####.##.######.........#.#.#.#...#..###.#.#.#..#.###.#.#.#..##.#####.##.######..###....###...##.###.##..#...#.........#.#.##..##....##..#.#..###..###....#.#.##.##........##.##.#..##.##.##..##...##.#.####.###...#.##..#...#####..##.##..###........######..###.#.##..#.##..##.......##.....#....##...#.###....##.####..##..#.###.#..##..#.#.###.########.#.######.##.#.###..##.#
#####.###.#####.#....#....#.######..#.###.##..##.#.#....#.###..###.###.###########....####.....#...###.######.###########..#.###.#.#######.#...#...........####....##.#####.##..#.##.#########.#.#.######..#####...#####.##.##..#.###..##.##.###....#.##.#...###.#..#.##..####...##..##.....#.....###.####..##...##.#.##########.#...####.#.#.##.####.#.##.####.#.#.####.#.#####.#.#.##..###....##......#..#####.#.#.###############.##...#.#.....###.#.#..###..#........#..#..##.###.#.#.##..#.###.#####.#.#..###..#..####....##.########.##..##..###.#..##..##..#...#.##..###....#####..###.######......#.#...#########.##...#.###.#.##...#.#.##.#.#.########..........##...#####.....########..#......##.###.########.##.#..##.#####.###...##..##.##.####.#.#..#.####.##.###.......###....###..###..#....##...####.#.###.#.###.#.#.##.....##.#.####.#..#.##..##........##..#.############.##.##.#.#####.#..#####.#....###..##.#.##..#.##..##...#.#...##.##..#.#..#.#.##.#...##.##.#
#.##...##...##..####.######.#......##......##.##.#.####.#.#.##.#....#..##.#.##...####.#..#####.###.#...#.......##..#.#.###.###.###...........#...#########.#..##.####.##.#...##.#..#.#.##........#.#..##..##...###.#.##......##.#..###.#######.####.#.##.##.##.####.#.#####..##.####..#####.##.#.##.....#..##..#.#######..#.#....###....................##.#.####.#..##.......##.#...##.#######.#####.#...##................#####.##..###.....#####...#.#.##.##.######.#...##.##....#.#######.#.##..##.####.##.#.##.##..##..#.###..##.#....##.####.###.##....####.#####.##.##...##..####.##....##.#..####...##.##............###.##.....###.....#..#.#.##.#.#.#####.##.#..#.###..###.####.##.####.####.###..##................##..#.##..#.###..##.#..#.........#.##..#.###....#.####.##.####..##.##.##.###.##..###.#..#..##...##....#..#####.##.####.####....##.######.#####.##.####.#..#..####....#.#.#...##..###..##.###.#.##....###.#..##..##.##...###..#..##.#.##...##...####.#..#
#..###..##.##..##.##.#..#...######..#####.##.......#...........###.##.##..#..##.##.#..#.##..#......###.#######..##.....#.#.##......#.#####.#.#.#####.##....##.....##..##...####...##...#######.#...##..##.##.#.#...#..#.###.###.#.##...#.##.##...#..#.#...#.##.###..###.####....#.###..##....##########.##.#####.#.#.#.##.#.####.####.#####.#.#.#######.##.#..##..##.##.###.#....##.##..##.#.......#..#.#..########.#.#####.#........##.####.##.#####.#....#.#..#.#.######..#..###.####..........##.#..#.#..##...##....###.##.#.##.##.####..#..##....#.###.#.#.##.####.....######..##....###.####.#######.####..##########.####...#####...#####.##...#.#......#.#.#######.....##..##....#..#.#.#..#.#..##..##..######.#####.###..##..##.#.#.#.##..##.#######.#...##.##.##..#.#####.#....##...##......#.#...###...#.##...####.######.#.##..##.##.##.#..##..##......##.#.###....#..##..##.##.###..######.###.##.##.##.##.....#..##.#.#.....####.##..##.##.##.##..#....###..#.#..##..#.##
#.##.##.#...##.#..##.##.###.##.#.#.##......#######.####.#.####........###...##..#..##.#..##.######.#.######....#####.#.....####.#######....#.####....#####.######..##..###.#..###.###.##.#.######.##..###..###.###.##.####..##..#.####.#.##.####.##...##.##..#.#.####......####.#..###.##.#.###.#.#.........#.##...#.#...........#.####.##..#.####.##....#.#.####.##..########.#..#..##....###.###.##.#.####.##.....###.....####.###.#...##...#.#.##..####.#.#.##.#.#.#.##.##.##...#.#######.###.##.##.#.#.#####..###.##.#.#..#.##.##.#..##.##..####....####.#..#.#....#.#...##...######........#.##.......#.#.##..#.#.#...##.##.##.....#####.#.####...######......##.#.####.##..##..####.##.#.##.#.##.###.######...#####...#.##.##.###.......###.#..##.##.#####..#.##.#..####.#...####..#.########.##...#..##.###..###.#.#..#.#.#.......##..#...#.##..#######.####....#.#.####.####.##........####.#..##......#.##.##.#####.##########.###.#..##..#..#.##....##.####...####.####.#.##
#.##....###.#..#.##..##.............#####.##.........##.#.#..#####.####.###..##.##.##...###.#.#.#.....##..####...#.#######...####.#.#.##.#.####...##....##.#.####.##..##.#...##........#.#.#..#.#..##.#.#.###..........#.##..##.#.#.#..#.##..##..##.#..#.###......######.###......##....###.##....####.#.##.#.#..###.#######.###...#.#.....####....#####.#....##.....###...#.###.##.#####.#######...######.#.#..#####...#.#..#.#####.#.###..#...#.###..#.#.#.#.##........#.#...#.#.#..#.###..##.....##.#....##.#.##......#.##.#.#...#.##.#..##.##.####.##.#....##.####.###.######...########.##.#.#######.##....##.....###..#.##.###.##.#.#........##.##..####.###..#...##....##.###.#.##..#.#.##....#..##..#.##..#.....###...........####.##..#..#.##......##.##...##.#.##....##.##.###.#.#..##....######.##..##..##.#.#...##.#.######.####.###...##.###......##.####.#.#...##..##...#######.###.....##..#.##.#.#..#....###.#..#.##.#..#.#.##.###.#.##..####..#..#.###..##...##.....#
#..####.#.#.##.#..##.####.#########..##.#.##.#######.#######..##...##.#.#...##......##.##.#.#.#.####.####.#....###.##..#.###.#...........###....#.###.#............##..#...#.###.#####.#.#.#.##.##......#.##..#.#.#.##....##.#..#.#.##.#....####.#####...#.##.#####.#....#.######..###.###...####.#.#######...##..##.#.#...#######.....#.#..##..##..##.....######.##...###.#.#....#.#.##..##..#.###..#.##......#############....##...#...######.#...##.#........########.#.#.#####.#.##...####..###..#.###.##..#..#.##.######.#.#.###.#..##.......#.##.##...#.##..#.#####...#.##..###...#.#..####..#.#....####.#######..###...##..####......##.######.###...#######.#.#..###.###..##...##.##.#.#####...####.#....######...#.####.#.##.###...##...##..#####.###.####.##.#.#####....##.......#.######.#.#.#...##..##..#...#.###.....##..#..##...####.##.#.######.##.#....#.#.###..##..####......#.#.###########....#.##.####...#.##..#.##.#.#.##..##.#..##.##.#.##.##.#.#.####.###.#####
#.##....#......#.###..######.###....###....####.##.#.#..###..##..#........#....###.###..#.#.#.#..#....#.#.###.##....##...###.########.#.######.####.#####.#.##.#.#..##.#.#####.###...........##..######.#.###.#########.#......##.#.##.###.##..#..######......#.##..####.#.#.##.##.##....#.#####.....##.#.###..##....#.##.##...#...#.#####.########.####.####.########.#.#.#.####...#.###.###....###...#..#.#.##.........#.##.#..###...###.##.#.#.####.##.#####..##........#..#.#.....###....####.##.#.##...##...#####.##.##....#..#..##..####.####.....###.#####.#.#.##..###.###...###...##...#..##.####..###.##.##.##.....#.##.##....##.###..#.#.#..#.##.##.....#...#.##.#.#.#.###.####.##.#..##.##.##.##.##.###.##...#.#.#.#########.########.##.##...#.#.#.#.#..#..#..##.##.######.#####.##.....#.#.##.###.####.###....####.#..##.#.####.##..........#.#......####.#....###..##....#.#.##.#.....##.#.#..####.......####.##..##...##.#.#.##.###.##..#.##....#.##.#....##...#......#
#.#####...##.#...##..##........####.#.##.####.#......#.##.##..#######.#.####.####....#.##.#...##.###.##.#......####..###.#.#..###.#######......##...############.##..#...##.##..#####.######.##.###.....#.#.####.#.#.#########.##.#..#.#.#..##.##...#..######....#.##.#....#........####.....#.#####.#.....#..##..##.......###.###.####.#....###.........#.#...#.#...........#.####....##.#.####.#.###.#################.#..####..###.##...#.......##...####.##.#########.##.##.#####..####.##.#..##.#..##.####.##.#....#..####.##.#.##..####.....#####..##..#.##.#...###..##.#...###.###..###...###.#.#..##....#.#...###.###.##..##.#.#######.#.#.##.#.....#####.###.###....#.#.#.#.###.....##.#..##.##..#.#####...#####.#.....#...##....###.##.....###.#.#.#...##.#.##.###..#.##.##...##.#.######.....#...#...##..##..####.#####.#..#.##.#..####.#####.....##.#.#.##.#.#.##.#.###.#########...#.####.#.#.##..#.#.#####.#..##.#####.##...#.##.#.#.##.##.####.##....####..###...######
#.#.###.########.###..#######.##..#.#.#..#.#....#.##.#.#.....##.#...#####..###....##.#..#.###.#......##.#####.##..##.#.....##........#.###.#.#.####.#.#.#####.######.#.#.....#.##.#.#####.....#.#.#####...#.##.#.#...#.#.......#....##.#...##...###.#.##......####..#.####.####.###.#.##.#.###.##......###.##.#####..####.##.#..##.###..######...###.#.#.....###.#.####.####.....##.####....##...#.###...#.###.#..##.#...#.##..#.##.#..###.#####.#..##.##....##..##.###....#.#..##.###..##.....##.#..#.##...##...#.####...##.#..#..#.###.##.##.####.#.#.##..##.#..###.#.##..#.###......###...##.##.#.....######...###.....##..###..#####.#............####.##.#...#....#####...........##.####..#.##..###.#.#.##..#.......#.#.###.#######.#.#....##.##...#.#.#.####...##...##.#..#.####.##....##..##.##.###.#.#..##.###.##....##...##.#..#.##...####...##.##.#..###....#.####...##...##.#.#...#####.#.......##.###.##.##.##.....#.#..###.##.##......#..#.#.#...#.####.###.##..####.#.#
#.....####.###.....##..##...#.###.#.#.#.##.######.#..#.#.#.#.##.#.########.#########...##.##..####.#.##.#.#.#.###..#.#####..########.#...#######.##.#...#.#.....##...###.##.##.##.#.#...###.#.....##.###.##..#.#.###.#.#######.####.##.###....###.#.#.#######.#..##...#.#..########...####.##...########........####.#....##.##.####.##...##.#####...###.##.##.#.###.####....###.....#.#.#######.#.#.##.##..#..##.#..###....##......##.#.....#####.##...####.##.###.#.####.#.#.##...##.######.##..##.#..##.#####.#.#..##.##..##.##...#.#..#.#...#.#.....#..##..##.#.#......##.#.######.#.#.###..#..###.###.######..####.#.###.....###.##.#####.##.#.#..#.#.##.###.###.##..#####.###.##.#....###....##..##.#.#..#######.##...#####.##...#..#.#######.#..#..........#.#####.##..##.#.#.##.#..######..####.##..####.#...##..#.#####.#..#...##..##.##.#..#.####..##..#####....#.###.####....#...####.#..######.###.##...#.##..#.#####.##.#.#.#...#.####.##.#...###...#.#...##.#..####....#
#.######...#...###..#.###.#...#.........#..#.#.#####.#.#####.......##.#.#....##....###.##..##.#..###.##.#...#.#.##.#.#.####..#.#.###...#####.....#..###.#.####.##..#...####..#.##.#.###..########......#..##...#.#...#.##.##...#.#...#.######..##...#.#.#.#.#...#####.#.##....###...#..##..#..####.....#####.####.#####.#..#.##...#..##.####.###...#.##...####...##..#..#.#########.##.....##...........###.##.##.##.#.###.####.#.#....###.###..#...##.##..#.#..##...........#..###..#..##....##.##....###.##.#....#.##..###.#...###.#.##...##.##.#####.##..##.##...#.##.#.##.#.##..#....#.#.##.##.##...##.#..####..#.#####.###.###.#.##.##.#...######.........#...#..#..##......#######.####.##.#..##.##.#...##.#.########.###.#..###.#.##.##.##...#####.#######.....##...##.#..#....#.##..#.#.##.##.#..##.##...#.#....##.##..####.#.###..##..#..#.####.###.#..##...####...##..#.###.#...###....#.##.####.##..####.#.###....##...##.....#.######....#.#.###.##.##.###.##.#.##..###.##
#..###.###.########...#.#####...#######.##.#.#.#.#.#.#..#.#..##.####..#.###.######.#...#..##..##.##..#..###...#.#..#.#.#..##.........#..##.#####.#.##.............###.###...##.##.#...##..........####.##..#.#.....#.........#...###.#.#.#..##.####.......#.#.#..##.....####.##.##.###.###.#.###.####.###.##..###.#...####...####.##.#...##..#.#######..#..#.###..##.#.####.##.#....###.#########.#####...#............#.#..#...######......###.#.####..##...#.###########.#...##.##.#.#####.##...#.##..#..##.##.###.###.#.#.###..#.....###.....#..#.#...##.#...##.#####.#..#.#..##.####...#.#...#..###.##.#.##.##.##..#.#.......##...##.##...####.#.#########.###.##.##.#######.#.#.##...##..#####.##.#..##.##..#....#.#...#.#.#.##.#.#..#.##..###.##....##..#.###.######..#.##.#.####.###.#.#.##.#....##..####.######.....##.##.#.....##.###.##.#.#.#...#####..##.##....#####.#...#####.#.##.###.##.......##.#..#....####.#####.###.####.#.##.####.#...##..#...#..##.#..#..##.##...#
#.##.#..##.#.##.....#.#.##.###.###......##.............##.#####.#..##.#.##...#.###.#.#...####.....##.##.##..#...##.#.#.#.#######.######.....###.......###.###.#.#####.#.###.##..#...#.#######.##.###...##.######.#####.##.#.####.#.#.#.#.##.#..#.########.#.###.#####.#.#........###.....#...##..##....#...#.##.#.#.####.###.#.#..#..##.####.#.##.########.#.#.#.##..#..##..#..#.##..#....#.##....##....#...######.###...##.###.#......#.##........##..##..###..#..##....#####.#..#.....##...####.#####.##.#..##.#.#..##...#.####.#####...####.##.##...###..##.##..#.#.####.#.#.##...#####.#.###.#.##...##...##.#...#.##.####.##.####..#..#.####.......#.....#.###.#......##.###.#.#.#..#..##..##.#.##.#.##...##.####.#.###.#.#...##.#...##..##..##.#########.#.###...##.#.##....#.##....##.#.#.##.####.###......##.#.##.#####.##.###.###...##.#..#.#.###.#.#.##..#.###.#..##...#.####.##.#.##..##..#####.#......##.####.##...##..#.....##...##.###..###..##.###...##..##.##..#.#..###
#..#.#.##.....#######...#...####.#.####....#.##.#.##.#....#.#.#.##..#.#..##.##.......###.#.######........######....#.#.#..##.##..####.#####.....#####...##########.#.....#..##.##.#####....#######.##.##..#.##...##.#..#######................##.#.#.#..#.#..#...##.###.#.#.####.#######.#.###..####.#.###....#.#....##......#.##.##......#..#.##..#.##......#.#.###.#.####...######.#.####.#..#.#########.###..########.#...######.#.#####.######..##..##.##..##.####.#...##..##.#.#.#.####.#.##.##....##.##....#.##..###.#.#.##.#.####.##.##.##.####...##.#...##...#.##.......###.##.##..........####..###.##.##.##.##..#####...####.#.#####.#######.#.###.....#.##.###..#.#.#.......#####..###....#.#.#..#.##.##.#.#.#.#.#.##.##..#.#.#..####......#.###.#.#.#...####.#..####....####.#....#..#.#.....#######.#.........##..##...#.##..####.##...#.##..#.#.###.....####..###...##......#..#.###.##...########..#.#.#...#.#####.#.##.###.#.#..#.##.##..###...##.####....###...##...#
##...#.###.##..##..#..#...###.#..#.#....##.######.####.##..........##.#.##..####.#.#.#.....#.#.########.##.#.#..##.......##..#####....##.##########...####..##.#...#.###.##..#.##..#.#####.#.#.##......##.#..#.####...##.###.###.#####.#####.##..#.#.##.#.##.#.###...#..#####.##.#.##.##...#...###...#...#.##.#.#.#####.#.##......#######.##.#..##.#.#####.###.#..##....#.###..##.#..#....#.#######.###....#.##...#........#.#.#..#####.#.###.#....###.##..##.##...#.####.##..###.#####..##........####....##.##.#.##.###..#.#.#......#..#..##.##.#.###.##..##.##..###.#####.####...##..##########.#.#..##....#.#..#..###.#..####...#..#.#.#....##.##..#######.#...####.##.......##.####.#.##...##.#.....##.###..##.........#.##..##.#.###.##.#..#.##...#.......#.#.#.#..#.##..##.#...##.###.##.##.#####...##.##.#####.#.#.#..#####.#.###.##....#.#....##...#.#...######.##..#..#########.#.##.#.#..#.#.##.######.......#.#.###......###.#.####.#.#...##...###..#.##.####..#..###..###
#..#.#.#.#####..##.##.###...#.#.#############.###.#.####..#######.##....###...##########.#........##.##.#....##.######.#####..#.#####...............###..##.#..###.####...##.#.##.##.#.#.#.#...#######....#.#####.#####...#....#.##....#####.###.#.#.#....##.#...###.##..#.#..##...#..####.#.###.#######.###..........##########.##.#..........##..#.#..#..#.#.#.######.#.#.##.#..##.#.####.#.#.#.....######.####.##.#.#####.#...###.##.#.###.####.#.#..##.##.###.##..#.#..##.#.#..#.##.####.###.#.##.####..#.#..#.##.#.##.#.#.######.##.##.#..##.#.#.#..##.#...##...#..##...##.###..##.###...#.#..#.##..##.#...##.#.##...#.##.####.##.....####.##.#..###..#######.#.#..#######.###...##.#.####.##.#.#.#..#..###.#####.##.#...##.###.#..##.##.#.#######.#######.###.#.#.##....#####.####.##...#..#.#..###.##..##.##.##.#####.###.##.#.#....####.####.######.....#..#.##.....##.##..#.#......##.....####.#..#....##.########...####.#####.#..##....###..##.##.##.#.#..#.###...##.##...#
####.#.#.##.##.##.....#####.....#.#....##.#.#.....#...###.###.#...###.###...###..###.....###.#.##..#....##.######.##...#.#.#.##.......#######.####.#####.#..##..........#.......#.##.#.#...##.##..##.####.#..##.#.##.#..#...##...###.#.#......##.#...####....###..##..##.#...##..#...##....#..##.#.##.#....######.#####.....#.....#.##########.###.#.##.##.#.#.#.#.##.......#..##.#.....##....#.###.#.##..#....#.....#.#.......####...#................##..#...##..##...##.#....#.##.#..#..#####.####.##...#####.#.#....##.#....#........##.##.##...#.#.##..###..###.#.#####..#.#...##..#.###.#.##...###.##.#.###..#.##.#.#.#.......####.###.#..#..##.#.##.#.##......##.#....#..#.######....##..#########.#.##...#.#....#####.##.#.#.#.##..##.#####.#.#.#.#.#...###.....##.#####.#...##..####...##...##....##....##.#..##.##.##..##.#...####.##.##.#..##.####.#.##....#####.....##...#####.###.#######..##.####.##.....#.#..###..#..##.#.#.####.###.##.##....##.#...##.#.#.#....#..###
#....#.#.##.#..##.#.###.#######.#.####.#....###.#.#.#.....#.....#..#....###..##.##.#####.#########.##.#..#.#.#.#.....#.......###########......##...##....##.########.##.##.####.#..#.#.###.##..##....##.....###.#.#..##########.##...#######.##..#.#...#####.#...##..##..###..######..####.#.##.....#.##.###.#.#......#####.#####.......#.##.#..#..#.#.....#.#.#....#######.##....###.#.#..#.##.#####.###.##.#...##.#######.##.##.###.#######.#.#.#.##....##.####.##..#.#..####.#.##.##.#.##......#...####.##..#.....#.##..##.#.#####.##.##.#...###.#.#.###...##...#.#.#..##.##.##.###.##.#.#.#..###...#.####.#.##...####.#.###.##.##........##.##.#..#.#..#.#####.#.#..####.#.##....#.###.##..##.#..##.#.#..###.#.##.###........#.#....##.##..#.#......#.#.###...###.#.##.#.##..###..#.##..#.######.###.#..####....##..#.##..#.##..#.###.....#....##..#..#######..####.....###.#..###..##.....#.#.##..###.#.##....##.##.##...##.#.###......##..#.#.#.....##.##...####.....##.###.##.#
##.#......#.##.######.........#.#.#.#....#.####.#############.#.##...####.##..#.#..#...#.#....#.#..#####.#.#...#.##.###.####..##..##.#.#########.#######.#..#.###.....########..##.#.#.##..#..######..###.###.#.#...##.#.####....######.#.##.##.######.#.#.#.###..##.###.##..####.##.##.......#####.#....#.#...#.######.#....#.###.####....#.##.##...###.#.......####.##....#####.#...####.####.#.##..#.#..####.##..##......#.............#...#####..##.#..#.#.#..#####.##.#.#.......#.....#.####.##.##.#...##.#####.###..#####...#####..#..##.##.#.#.#.#.#.######.....#.##..##.#..##..##.#.#.##.#####.#..###.#.####..##..#.#####...########.#..#....##.##...#.##..####.###....#..#.##......##..#.#.##....##.##..#.####.##.##.##.....##..#.#..##.######.#.....##.##.###.##.#.##.##...##.###.....#.##..#..#.##..###.####....##...#..##.#.#####.####..##...##.######..#.####.#######..###....#####...###.##..#.#####..#.##.#..###......######.#..##.#.#.######.####..#.#####..#..##....#
########.##.....##..#.#######.........####.#..###........#.########.##..#.###...##.###.######.#.##.#.##......######.#.#######..##.##....#.###....#...#.#.##.#.#.####.####.#..##.........#.##.##.##.##.##...##.#.###....#......#.##............#.#.#.#..#.........###..#..###.##.#..#.##.##.####.##..####...###...#.#.##.####.#...###.###.#.......###.#.########.###....##.#..#.##...#..##...##..#..##...#.#################.##.##.#.###.#...###.....######.#...##.#.##..##.#.#.###.#...#######........#...####.###....###.#.##..###..#..##.###.#....#...#.#..##..###.###.#..##....####........##.#.##....##...#.#.###..##.#.#...##.####......##.#.##.......###....###.......##...######.#####..##...####.##...##.#.#.#..#########.##..#.##...###.##.#.#.#####.##.##.##..##...#..####.##...##.#.##..##.####..##...#.#####.######.##.##....#.##.##...##..###..#.#....##.##.......#.#.##.####.......###.#..##.#.#...##.###..##.#.####.#.#.##...#.##..#.###.##......##.#.##.#..#####..####
#.#......######....####.##....#.###.#.##.....#######.###....##.#.##..##.#.#.###.##.#.#.#####....##.#.#######...##...#.###.....##..###.#.....########.#..........#.#####.#.##....#######...##.##.#........###....####.#...#.##.#.#######.#.#.#.....#.##...#.#.###...##...##.#.##.##.#.####....##.###....#.#...###.#...##.#.#..###..##.#.#####.###.##.....#.....#...##.#######....######.####..##...#####.#.##.#.#.#.#.##......###..###...##.#############...##.##..#..##.#..#.###.#####.....####.#.###.###..##..#.###.##......##.#.##...###.#.#.####...###.#.##..##.#..##.#.#####.##..###.##.#.#..#.#####..###.....#.##.##.#.#.###...#.###.##......#..#.###...####.#.##########.####......#.###..###.#.#...##.##..#...##..###.#....##########.##..#..#.#.#.##.....##....#####.#.##.......#.#..#..##.##..##..#####....##.#...#.#......####.#.##.####.###.#.##.#.####.....###.###.#.#.##..#.#.###.#####.#.###.#.##.##...###.##.#.#.#..###.####.#..##...##...##.#####.....#.#.##.##..#####
#.###.##..##.#####..##.....#.##.########.###..#.##.########.#.......###...#.#...#..#...#.#.####..#.#.#.#.#...########.#.##.##..##.#.#######.##.##....##########.#..##.#....###.###......#.##..#.#######.#####.###..####.##.#..#.#.......#.###.###.#..###.#######.#..##.###...#...#.#..##..#.###.....##...###.......####.#.##.#.##.#..#.##....#....#####.#####.#.###...##.#.###.##.###..#.###..###.#.#..............#..#####.#####.##..#.#####.#..###.##..#.....##.##.##.##.#.##..##....#####.#..####....#.####...##..#####.####......#...........####..##...###..#.#.##..#...##...##...######.##.#..##...##.#####...#...#.#.#.#...#...#.#.#..#.#.###.#.#.#.####.#.#.#.#.........#.####.#....##.##.#.#.##.##...##.#.#..#.##.#.##.#....#.##.#...##.##.....#..###.#..####.#.##.....###.###.######.##..###.###.##....##..#.#.#...######..##..#.##.#.....##.#.#..#.##.#.#####...#####....##.....#######.....##....##.####..##.#..#.#.##..#...#.#...##..#..###......##..##.##.#....#..###..#
#.#####..##...#....####.#.#######.###..#####.##.##.##..###..#######...#.#...###.##.###.#.#.#.###.....#.#.###..##..##....######.##.#..##.....##.#####..###.#.#.....##..####.#...#...##.#.#....##.#####....#.#....##..##..##.#.##########.#######.#.#.####.#..##.####......###.###.#.##.#####.#.#.##.########..###.#.#..#.#..#.#....##.#..########.##.#.#.............#.##............##.#.#.#.##.#.#.#.########.###...##.###.##....###.###.......##...#..#####.##..##.##..#.#.###..####.#.##..#####.####....##..####.##......#.##.#############.###.#..##..###.##......##.#.###..#.##.#####.#.......#####..#.##.####...###.....######.##.####.#####.#.###.....#....#...#######.#....##..######..##.#...##.####.##.####.#.#....####.####..#.##.##...#####...##.####.####...#..#####.#.#.#...##....##.#.#.....#########.....#.#####..##..##.#.#..####.##..#.##.#..#...###.#.#....####.#######....##.#####....####..#.#..###.#.##.#..#.##.###.##.##..###.#...##.#######.....#.####.##.##.#
#.#.##..#####.####.##...#..###.#....##.##.....#.##..##.#.##.#.#.#.##.#####.##...#...#..#.#.#..##.#.#...#.#.##.###..####.#.#.#.......#######.##.#...##.........#.#..##.#.#..###.###..########..#.#...##.#...#.######.##.#######.#.###..#####.#.....#.#..####.....#.####.###....#..#.##..###....#######...#.####.###.#.##.##...####.##.##..#.##....##...#########.##############.###.##......#......#.###.##...###.###......#######.#.###########.####.#####.....#.##...##...#.#...##.#.....##.#.##....###.####.###...#######...####..#.#.##...........####..#..######.##..#.#.##.####..##.#.#######.#.#.##.#.##.#....#..######.##..##.#..###..#..#..#.#...#.#.####.###..####.###.######..##..##..#.##.##..#.##.##.##...#.###.##.#..##.##.#.#.....####....#.##.###.....###.##.#.##..#...#.#.#####.##.#.##.####.####..####.####.#.##..##.##.#...##.....##.#.#..##.##.##.#.###.####..#..##.###.####..#.###.####.###...##...#.#..#.##.#..#..##.....##.#.########....##...###.#.#.#......#.#
#.#.###..##...###..######.##.#.####.##..#####...##.##....#............##.#.####.###.#.##.....##..#####.#.#.##.#.##.##.......#####.#..##.#......###..#####.#.######........###..##..##........##.###.##.###...#.#.##..####..###.#.#.##.###.#.#####...##.##.#.###.#..##....####.##...#..##.##.###...#.###.#.......#....#..###.###.......#.##..####..###.#.#.##..#...##.#.....#...#.#..###.##...####.#..##..###..#...#..####..##.#.###..##.#.......#.##..##.#####....##.#####.#.##.##..##.##.##.#.####.##....##..#.###..##.##..###.###.#.#.###.#.######.##.##...##..##...##.#.#.##..##..##..#.#.....#.#.#......##.#######.#.#.#...#.##....##.#####...##.#######.#.#....##.#....##......###..##..##.#.##..##.#.#..##..###.#.##..#..##....#..#.#####.##.###.##....#.####.##.#.......##...#######.#.........#...##......##....####.#..##....##.#.######.#....#.##.....#.##...##.....##.##....#.#..#.#.##.#.#..#.#...###.##.###.#.##......##.######.##.....#..##.#.#.#######.#.#.#.#.######.#
#.#.#.##..##.##.##.#.##...##.#.###.....##.##..####.#..##...##########....#.#.##.#......####.####.#.........##.#.#...##.####.......##.##.#####.##...###....####.#.##.#.###...##.###.#####.###.....##.##.#...#.#....##..##..##.#.#.#.#..#.........###.#..##.###.#.##....##.###...###...##...#.#.##.##.#.#.#######.####...##...#.##.####.#.###.##.##.#.....#.###.#.###..##.##.#####.##.###.#..#####..#.####..###.###.####.##.##.....###....#######.#..##.....######.###.#.#.#.#..#.###.#...####.#.#..#.####.####.#.##..##...##..##.#.#.#.#.#.#####.##...#...##.##..##..###......##.####..##...#####.#.#.#####.##...##.........###.#..####.##.#.####.#####.####......#.##..####.#..#.##.#.##..##......#..##..#.##.##.##.#.#..##.##..#.#.##.##.##.#.......#######.#.###.....#####.######..#.#.#..#########.#.####.####..####..#.#.##..####.##...#.##.######.#.######.#..##.###.##.##...#.##.#.##.#.#.#......##.###.##..##.#.#....####.###..##.#....##.####.##....###.##.#..#.#.#.#.##.#.#.#
#...#..##.##.##....#.######..#...####.###.#..##......####.##..........##........###.#.##.....#.##########.###...##.########.##.#.##............###.#.##.####.....##.#####.######...#..##.#...##.##..######.#...######.###..........##.#########...#.##.##.##.....####.####.###...###.####...#.##.##......##.....#..###..##.##..####.#.#.#.#.#..##.###.#...#.#.#...##.##.##.#..#.....#.######...##.#.#..##.........###......#####...####...........#######.....#..##..#.#.#.##.#.#.#.##.##..#.#.##.#.#.#...#.#.#.###..###....###.......#.#..#.#...###.##.###..##.###...###.#####...#..##..#.##........#.##...###..#####.###.#...#.##.##....#..##....##..#.#..#.#.##.##.###...#.#######.#..######.#.##..##...##.#...#.#...##...##.#.###...#.##.###.#.#.###.........#####.........#.#..##...##.#......##.#....#######..###.##....##.#.##.##.###..#.###.......#.##..#.##..#.#.#######.###.......#.#.######..#.##.....##....#.####......##..#.###.###.#.##.#####..##....##..............#.#
###.#.##..##.####.##.#...###...###....#.#.##.#######.#.#..#..##.#.###..##.#.#.#...#.#..####.##..#.#....##.#.#.###..##.......##.#.####.########.#.#.#.######..###..#.#.......#.##.####.##.##.##...##...##.#.###...#.#....#######.##.#..#.#.##....#......##.######.#.....##..#.##.##....#.###.......#####.###.###.##...#.##...##.##...........#.##..##..###.....#.###...###..##...#.#.#.###.####.#......####.######.#.#####.###..###.##.##########.###...######.##.#..##.#.#......#.#.##..##.#....#.#.#.###.#.#.#.#...##.####...#######...#.##.###.#......##..###.#.#.###....###..###.##..##..##.###.#...#..###.##.#..#....#####....#..####.#.##..######...#########......###.#..##.##....###.#####.#..#####.#..###.#.###..###.##.....###.#.##.##..#####.#####.###..#.###.####.###...####.##..##.###..#.#.####....###......###.##..#.##....##..##.#.#######.#..##....##.......#.#...###.#.###.#.#.###..##.#.####.###..##.#.##.####.####.##.#.#.##....##.#.#.##..####.#..##.###########.#
#...#.#..##...##..#..#.###.###.#...##...#.#...##...###.##.##..######..##..#######.###.##.#...##...##.#..#.#.#.##..####.###.#######.######.............##..######.#######.#.##..####.#.########.######....###.#.###...####.##.##.#..##.#.#.#####.###.##.##.#.#....###.#..##...##..####.#.#.###.###.##..#.#.###.#.####....#.#..#.###.##.#.#.#...##.#######..###.#..##.######....#.#.#...#.#..##..#.##.###..#####........###.#.##.#.#.##.#.#.#.#.##.#.##.##.####.#....###.#.#.####.#.#.###....#.##.#.#...###.#.#.#.#.###..#.#..###.##..###.#.#....#.##.###..##.##.......###.###.##.##..###.########.#####.##.#.#.##.##.##.#####...##.##.#..#....##...##.###...#.###.######..##.#.##..#..#####..#.##..##..##.....####.#.##..##...####.###...#.##.##.##..#..####...###.#.#.####.#...###..##..##.########......#.####..#..###.##.#.###...#..#####.##..#.##.#....#.######..##.######.###...#.###.....#...##.##.#.#.##.##..##..#.##..##...##...#.#.#.###.###......###.#.##.#####....#...#.##.#
###.#.##.####..##.##.#..##...#.########.....#..#.#####.##########....####.#........##.##...#....#######...#.#.###.#.#####...#.#.#.........#.#.#.#####..##.##.....#.#.###.#..##..#.#.#.#.##.....#.#....#####....#####.#.#.....#####....#...#.##########..#.#.####.#####.#####..##.##...#.#.....#######......#.....#.###.#####.#.#.############..#.######..##...#.##....#.#############.....####.####..###..#..#####.##...#.#........#..#................#.#......##.##..#.####.#.#....##.#.####......###...#.#.#.#.#.##.#...##.#.#..##.#.#.##.#.#.####.#.##..########..#..#.#.##..#.##....##.#.#.........#.#.#.##.....#.##..#.#.##..#.##.##.#####.##...####....#......##.##.....##.##.#.#.##.#..##.###..##.##.##.....#..###.#..##...####.#.##.....##.#.##..###.#.......##.#...###.##.##.###..#.......#.##....#.##.##.#....#.#.#.###.##.#.#.#..##...##.##.#.#..##.#..##...##.#..#.#.###########.#.###..##...#.#..#..######..##.###.##..###.#....#....#####.##.........##...#.##.###.##.#
#...#.....####....##.#.#####....###..###.##.##...#.#...#.##.##..#######.##########.....########.##.##...#............##...###.....#.###.#.#.#########.##..######.#.#.#.####....##.....#.######.#.####.###...##.#.#.#...#.#.#..##.#.##.###.#.#.##...#.##.#...#.##.#.###..##.##.##..###.#.#####.#....#######.#####.......#.#.#.#.#..#.##.#.##.##.#..##..#######....#.####.#..###....#######.##...##.##.#.##...##.########.#.##.#####.##.#######.########.#.####.########.#..#.#.#.#.##.#..###.#..#.#.######.....#.#.#..#.###..#.#.##....#.#.##.###..##.....##.#.##..###.##.#.#.#..##..##.###..#...#.#####.......######.#.#..##.#####.........#.##...###.#..##.#.####.#.....###.#.....#.#.#..#.##........######.###.##.##.##..##.####..##.....#.##.###.#..##.######.####..#.###.##..#..##.#.##.#.#.#.###.##.####.##..######...#.#.#.#.##...#.##..##.##..####.##.##.##....###....##....#.##.#.#......##.#####.#.##.##.#..##..##...##.#..##.#.#.####.####...#..##.######.####.###......##.#
###...##.##..####.#.....#.###.#...##...########.##.###.#..#..##.###...#.###...##.#####....#.###..#.#..###########.#######.##..################......#.###.#.#.#......#.##.#.##..#####.#.#....#.#.#.#..#.#####....#.##.#######.##.####.##.........#........#............###.##.##.##.....###.#.#.####.##.#....#.#######.........#.##.#..........##.###.#.#.##..##...#..#.##.#.#.####.##.....###.....#.#..###....#.##.......####.#.#.##.#....####...........#...#####.#..##..........####..##.##.###..#.#.#.###.#.#...##.##..##.#.#####.#.#.#...##.######.##.....##..##....#.#.##.#..##...###.##.####.....##.##.#.##.#.#...###.###.######.##...#..###...##.####......##.##.#########.......##..########.##.#....#####.#...#####.#..##..####.##.#..#.#.#.###.#..#.###.##.##..##.##.##.##....#..#.#.#.#...#...##..##.###.....###.#.....#..###....###.###...#..#..#.....####.##.######.##.##.....###.###..##.#...#..##...##..##..#....#.##..#....##...#.###.##..###.##.........###.#####..#
#...#.#...##.#.##.###.###.#.####.#####..#..#....##..##.##.##.##.#.###.....##.##...#.####.##.#.##.....###.............#.######.#........#.#.#.####.#...#.....#.######.#.#..#####..###..#.#.##.....#...##.#.##..##.#.....##.##..##.##....####.#.#.############.###.#####.#.#.##.##..###.###...#...#.#...#...##...##......##.##.#...##.#.##.##.##...............##..###.##.#.......##...###.#...#####.#.#.##.#.####.##.#####..###.....##.####......######.##.###.#.##..##.#######.###..#.##....#####..##.....##....#.#.#...##.##.#.#...........####.#....#..#.#.#....######.....##...###.#..##.##.#....##.#####...........###.###.#.#....######.#.##.###.##.#..####.#.##.##...##.##...########.##.##..##.##.####.#.#.#.#.###.....#.##..###...#####.#.#.#.#.#.##.#.##......##..#.##.##.####.##.##############.#..##..#.###.#..#..#####.##.##..####.....###.##.##.####.##.##.##.##..##..#.####.#.#...##..##..###.##..#.#####..#######....##.##.####.###..##..##.##..######.###..#....#.##.#
#########.##.#.#..#.#.##.....#.#..#..##.##.####.##.##..##.##.#..#.#######.#..####.#..#...........#.#.#...########.####.#.##.##########.#.#....#...#.#...###.#.###..#...##.##.#..##.##.#.#####.##.###..#.#....###...######.###.....###.###...#.###.########.#.#...#.............#.####...###...###.###.###.#..#..#.#.#.######.###.##.######...##.########.#.#####..##.#....#####.##.#########.#.##..#.#.##.#.#.##.#####.#..##.###.#.....###.#.##.#......#.........#.##..#.#...#####.##.#..####.#...#####.#######...####.##..##.#.#####.##.##..#.#.####.##.########..##.#..######.###.####..#.#############.###########.###...#..#.####.##.....#.....##..#.#.############..#....####.#.##.##.....#..##...#..###...#.#.#.#.#####.#.###...###..##.......#.#.#.##.#..###.##..##...#..#..#.#..##..##.##..###....##..##.#.#.####.#.##......#..##....##.####......#..##...#.....##..#.##..##..###.#####..##..#.##...###.......##.#.#.#####.###.#..##.#..##.##..##...##..#..####.##...####.##.#
#..##........#.##......#####...##.##.....#.#.....#.###.##.#..##.#.#....##.##.#.##.##.###.#.#.#.#.###.######.......#.##.#.....##.#..........##...###.##.##...#.#.##...####.#....###.#....#######....##.#.######.###..##.#...######..##...###.###..............########.#.#.##.#....#.#.#######.#.#.#...#.#######.###.####.#.###.#.#...#.##..#.##.##...#...#####.##....#######.##.##.#.#.###......##...#.##.#.......##.....###.##..#.###...########.#######.#.##.#....##...#.#..##.#.#....##.##.###.#..####...#####..##..###.#.......#######..##...#.#.....##.#..###.##.#.##..#.#.##..##.##...#.##.####...........##......###.##.#.##.#..#####.#####.##.##.#..#..###..##..###.#..#.#.#..#.######.##..##.##.##.##.##.......##........##.##...###.###.#.#.#......#.########.###.##.##.##...##..##...##...###.##..##..#.#.#..#...#######...######.#.....###.##.##.####.#.#####..##..##....##.########.###...###.##.#.###.###........###.#.#.##.##.#.###..##..###..##.#.##....#..###.##.##.#
##..########....#.##.#..##.###.##.######.#.##.##.....#.##.##....#.#.####.....#........################.##.####.##.#..#.##.####..######.##.##..#.#...#######......###.##.#.####.#...####.#.##.##.##.##.#...####.#.#.##..##.##.##.##.#..####..##########.#.###.#........#.#.#..####.#.#.#.#.#...#.#.###....#.##....######..#.##......###..#.##.#######...#.###.#..#.####.#.#.........#.#.#.######.####...##.#######.######.....###########.##.#.#####.#.#.##########.#####.####.#....##.####..#.#.#.#.##.####.......####..##.#####.###.#.####..###...#####....##..#.....#..#.##.#..##..#.###.##.#.....#####.###.#..###.####.#..#.#.##...##..#..##.##.##.##.##.##.#.##..#####..##...#.#.##..##.##.###.##.##.##.....####.######.###.####.####.#.#..######.######.#..#.##...........##.####..#.####.#####......##.##.##.#.##.###...##..###.#.#.##.#.##########....#.#......#.##.###.##.####...##.#.##.#...###.........####.##.#####.#...#.#.##.##.#...##..#.##.##.##.#..####.##..#...#.##.#
#..###..####.##...####.##.......#...###.......#..#.#...#..#####.#.#.##.#####.#######.##.###..##.#...#.....#.#####...##..#..##..##..###############.##.#.########...........##..###.##.#...#.....#..#..#.###......#.###.##.##.##.##.##.##.####......##..###.#####.#.##.#.###.###...#.....#.###.#.#.#.####....####.#.##.#.##.##.#.##.....#######.#.####.####...##.#...##...#####.###...#.#.###..#..#.###.#....##....#.##.#####.#.##.#..#.#.#.......#......###.........#.##.###..####....##.##.#.#.#...##..#.#.#.##.####..##..##.##..##.#...##.####.####.#####.###...###.##...##...##..##..##.##.#.#####.##..######.....####.##...#.####..##.##.#...#.#..##.#........##.#.##..#####.#.#.###........#..##.##.#####.###....##.####.#..##...###.#.#.##.#.#..#....#.##...#####.#.#.##.#....###....#.#.#.#...###.##...#..#.#.#......#####.#.#.#.#.##.....#.#.##.####.....####.#.#...##.#...#.##.###.#.#..#.#.#.#######.###.##.##..##.#####.#...##.##.#.#####...##.##..#.#.##..#..##.#.###.##.#
##.##..##..######.#..##########.##.##.###.##.#########...##.#.....#..#.#.....#.#.........#..##..#.#...###...#.##..#####...####.##.##..#.###..#.#####.......#######.#.#####..##.##...#.###.########.##.#.#.####.#...#.#.#......#.##.#..##.#.##.##.#########..##.######.#.##..#...#...#.#.....#.#...#.##.#.#####...#.#....##..##########.#.#.##....#..#####..#..#.###..###..##.###...#...#.#.##.##....##.###.##..##............#.#..##.....#######.######.#.###.#####.#.#..#.##.##.####..#.##.#.#.###.#..##.#####..#.#..###.##..###.##...###...#.#.###.........######....##.###.####.##..##..#......##...####.#######.##....####.#.#..##.##.#..###.#.##....#####.#####.#.#####.#........#########.#.##..##.#.##..#.####..#..##..##..##.##............##.####...##.###.##..######...####...####.....#####.#..###.#.##.#.#####.##.##..#...#.#..##.####.#.#..##.#####.#.####.##.##..#.###.##.##..#.##.#.#.#...###.#.##..##..#.###..##...###..#.##.#..#.####.#..###.#.#.##.##.##........##.#
#...##..##.##..##.#.##.....#.#......#...#########.#.###.##....###.##.#.#####.#.######.#.##.####.###########.#.###...#.###.##...#...##.#.#.##....#.####.#.#.........#######.##...###.........#..##.......#.#.####.#.#.#.####.###.##.##.##.#.####...##.###...##..#..#.#######.###.##.##.#####.#.##.##..#...##..###.#.####.###.##.##.###..#.#..####.#.###.#..###.#.##..##.#.##..##..#####......#.#####.##...#..######.#######.#...#.#######.....#.#.#.##.......#####.#.#.#.##....#.....##.#.##.#...##....###..#.#..##.##.#.#..##..##..###.#.##.##.....########.##.#######.#..#.#..##...##..##.#.#########.#.##.#.#......####.#.#....##....##.##..##.#..##.#..###..##.#..#.#..#..####.#.#..##.##.#.....##.##.#..##...##.#.##.##..###.##..####.###.######.....###.##.#.#..####..#.#.#..#.##.###...#.###.##..#.##.#.#.##.#...#......###.###.#.##..#...##.#.##.##.##........#..##..##.....#.#...##....#.###.#.###......##..##.#..#..#####.#.##...##.#.##.#.#..#.##........#.##.##.########..#
##.##..##...##.......#.#.#...######.##.###.##.#.#...#.#..###.##...##.....##....#.######.##..##...##.#.........#.#.###.##..####.#.###..#.#.#####.#.#.#..#.##.##.#######......##.##.##.#.####...##..#.###.....#.##.#......###.#.#.....#.##.#.#.#..#.##...###..##.##.#.##.#.####...##.#..###........###.###..##.##....#.#...##.#.....#.##.#.#.###...#.##..####.#......##..#..##..#####.#######.#..##....###.##..##..###.###.#####.#.##......###........#####.###...........#####.#.#.#..#.#.##.#.#######.#.#.##...##..##.#.#.##..##..###..#.#..###.#####.##..........##.....##.#.#####.#..##..#..##..##...#........####...##.#.###.#####.##.....###.#.######.#.##.#..##.#.##...##.####.#####....###.###..#..##..###.##.......##.##..###..#####....###.####.##......#.##.#.###.#.####...##...###.####..###........#.#..###.##.#####..........##.##.##....#..##..####.#####.####....#####.###..###.##..#......#####.####.##.#.##.##.##....##.####.#......##.#.#########...##.#.......#.#.##
#.....#####.#####.##########.#..#......##..#..#.###.#.##.#.######.###.####..##.......#..###..###.#..######.##.....#.#.#..##.##.#.#.##...#.#.#.....#.##########.#.....######.#..##.###########....##.#...##.##....##.###.....#.#####.#.##.#.#.#.#######.####.....#.#.##...#.####.#..#.##.###.#.##..#...###.#...##.#...##.##..#####.#.#......#.###.#.###.#......###.####.#.##..####...#.##....##..####.##..###..##.##......##.#..#.#################.####....########.##.##.....######......#.#...##....#.#..###.##.##..#....##.###.#.##.....##.#..##....#.###.#.##....#.#....#...#.#.##..##.##.##.#####.########.#....####.#.###.#......##.##.......#.##.#...#....##..#..###..........##.###.##.#.#.##...###.##....###.#####..##.##.#.##..###.###.#..#.#..######...##...#......##..###..#####..##..##.##.##.#.##.#.##....#.###.#######.##........####.##..##.#.#..#.#.#....##.#...#.#.#.#.##.#..##.#.##.#.#.....##.#......##..#.#####..#..##....#.####.....#.####.###.#....##.####.#..#
##.##.#.#.#.#..##....##.#.##.##.######..##.##.#.#.#...##....##....#.#.##.#######.###.##.#.##..##...##..###..##.##.#.#.##.........#..###.#.#.#####.#.##..####.#######..#.......##...##.##..#...#########.######.##########.#...#..##.#.##.#.#.#...##......######...#..###.#.#..###.##.#..##..#..##.###...#...########.....##..##.#.#.##.#####.##....#.#.##.#.###...#.#..#.###.##.###.#..####.##.##.#...##.#.#.##...######....##.#.#..####............#.###.##.#...####...#.#.#..#..#######...#.#######.....##.......##.####.#...##....##.##....##..####.#...###.###.#.######.#.###...##.###.#...#..##.#.#.####.######.##...#.#.#.######.###########.#.##.###.##.#####.##..###########.##.##...#.#.#..###.##...###.##...#.##..##..##.#.##.##....##...##.#.##..###.#..###.#####.##..##.##..##.##..##..#.#######.##....###.##...#.##.#.#######.#.##..##..###....#.##.....#.##..###.###.....#.##.##.##....######.##....#.######..##..#.##.##.####.#####..####.##.#........#.##########...##
#####.#.#.#...##..####...........##.###.##.#....#.###.#..##..###.##....#.#.#####.##...#.#.###.####.###...########.#.#.########.#.##..##.#....##......##..##...##...##.######.#####..#.###.##.#####.#......#.######.....######.#.##....#..#.#.#.########.##.######.#.##.#.#.#.##########.#########.#####.###.##.#..######....##.......#...##...####.....#######..#...##...#.#.##.......###.#.#..##.#.###.......###...#..####.##.#.#.##..#######.#.##.#.#......###.#.#..#.######.#.##...####.##.#..##.###.###..####.###.#..#.##.######.######.#.###.#.#..#########.#####..#.......###.#....#.#.#.#.###.#.#.#..#.#####...###.#.#.#.###......#.###.....#.#...##.#...#.#...##....#..###.......###.#.#.#.##.#..##.##....###.#.#..####.##.#.##..###.##..####.#.##.##.###.##...###...###.#...##.##..#.####.#.#.#..#..##.####.#.###.##.#.....###.########..##..###.#.#.##.#####..#####....#####...##..#.#####..#.#.#######.#..#..###..#.##.#..##..##....##..##.##..#.#.##.###......#.##....#..#
#.........###..##..#######.#####...........####.#.#.....####.##...####.#.#..##.######.....#.#.#......###..##........#.#.##..####.#..##..####.#..#.##..#.##..#..###.......#....#.###....##..#.#...#.####.###.#.##.#####...#.##.#..####.##.#.#....##.#.##.#.....................#.##..#....#.#.###..#.###..#..##.##..#..#####.########...###..#.#.#..#####..##.######.####......#####.###.#...##..#.#.#.####.########.##.#.##.#....#..##.##.#.######..#.###.#####....####.##.#......###.........#.##...##.#.#######.....##.#.#..#.#......#..###..##...##....##.###..#..##.###.#####.#...##.#.###.#.#.#.#...##.#.#.#.###.#.#.#.#.#.#.#.#.##...#.#####.#.#.####.##.##.##.######.#.##.#####.####..#...#.#..#.##..#####.........####........##..#..##.####..#.##.##.##...###...###.#.....###...##.#.#.##...#.##.##.##.###.....#..#..#####...#.#.#......####..####...##.##..##..#.#..####.#...#####.....##..##.#.##..###...##.##.##....#.##....##..####..##..#..##.########.######.##.#.###.#
####.##.#...##.##.##.##.####...###########..##......#.###.#...##.####..#.#.##..##.#.#####.#.#.####.#####.######.#.#...#.###.#.##...####........######.#....##.##...#####.###.##..#####..##.#####..........#.#.#...##...#........##.#..##...#.#####.#.#..##.##.#.#.#.##.#.###.##..##.##.#.#.#...##.#...##.##.##.###.##.........##.#.#.###.##.#...##..##.#.##....#......#####.#..##....##.###.###........##....##.##.....#.#..####...##........######........#.#..####.#...#.##.#.#.....#.####.##.####.##.#..##...##.#.##....#.##.######.##.##..##..#..##.###..#.##.#.##..##..###...##.#####..##...#.#.#.###....#...........#...#.#.########.#.##.##.#....##..##.##.##..##.......#.##.......##.###.#.##.#.###.....########.##.#..##########.##.##....##.#.##.##.####...###...#.#.###.#.###.##.#....###...##.##.##.#.####.##.##.###..###.#.#.######..##..##.##.###..#..##..##...##....###....#####.####.#..#..##.....###..##..###.##.###.#..##..#.##..##.##.##..#.#.....#.###..####.#.###
#.#...#####.#......#.##.#.#..#....###.##...####.#.#.####..##.##.....##......##.......#....#.#.#.#...##.#..#.##..#####.#.#.#.#..###...###.####.##.##.#.###.##..#######.....##.#..##.....##..##.###.#######.....#.#.#..#.########.##.##.####.....#.#.#.##..##########.#..###....##.......#.#.###.#..###.#.....##.#....###.#.###.#...........#####.#..###......##...####.#.#.####..####..........#######.#####.##..##.###.#.#.###.###..#.######...#.#..#.#.#.##.##.##.....#...##.####.#######...##..#.#......#####..###..####.#.##.##.#...#...##.##.######.#.##...##....##....##.##.##...#.#..#####.........####.###########...#.#....#.##.......#.#..####.###..#.##..#.####.####....####.####..#.#.#.##....##.###########..##.##.#.##.##.......##.####....##.##..###.###.###.#.####..#.#.#.##.#.####.###.##....##...##.#..#..#.#.#.####.#.#.##...##.##.###.#...##.##.####..###.###.####..####......##....##.#######..###..##.#.#..#.#.####..#.##.#..##...#.##.##.#####.#...##..##..#.###
#.#####.....###.####.##.#.######.##...####.###########.##.....##.########.##########.####.#.#.#.##.###.#.##....######.#.#.#.##.....###.#####..##......#.#.###.#.#.....###.#..##.######..##.....####.#.#...#######.#######.#.#....#.##..#####.###.#.#.###..##..##.#####.######.##########.#.......##...#####.#..###.##.######..######.#######.#..##...##.##.####.##....#.#.##.##.##...#.###.##.##.##...#.##...##..####...........##.####......#.....######.#......#########..###....#.#.#...#..##.#.###.####.#.##..##.##.#.....#.##.###...#..#.##.#..##....####.####.##..##.##....###.##...##...#######.###...........##...#.####.#....#####.#...##.#.#....##....##.#....########.##.##....##.......#####.##.#.#.#.....##.#...#.#..#.###.##.#.......###.##..#..##.#.##..##....##.##.#.#....#.#.#..#.#.#.#####.####....##.#.##...#.##...#....###.##.#..##..##.##...#.#.###......##..#.#.##.#####.#######..#..#.#..#.##.#.##..#.#.##....#.#.##....##..###...##.##.#.##....#.##.##..##.#.#
#.#.##..#.#.......##.##.#.#.#.#...###..##...##..#####.....##.##...#.##.##.#..#.###....#..........#..#....#####.#..#...#.#...######.##...##.######.###...###.#.....###.#.....###..##....###.#.#........###.##.####..##.##......#.##.#..##.#.#.##....#..##.###.##......###......#..##.#.#..#######..##.##.....##.#.#.....##..##..##.....##.##..##.#..####..####.###..##.#.#.#..##.####.###.####.....###.#.###.####..#.#######.###.##...##.############.##...#####.###.#.##...####.####.#.######.##.#.##...#.#....##.#..##.##.#.##.#..#.##.###...##...####.###..#...##.###.##..####..#...#.#####.##.#.....#.##.#.#.####.######...######.##..######.##.#.#.#.####.#.#..#.#####....#......#.##..#####.###.##..#......##.##.##.###.#.#.##.#.######.#.#####.#..##...##..#....#####.###.##...####.#.....##.....#.#...#.#####......###.##.####.###.##......#.##..##...###.#.#...##.###.##.##.......##....##.....##.##.##.#.##.#.###.#.#.####.##.#....#.####.##..###.....#..###.#####.##.###...#
#...#..##.##.###.##..##...#.#.##.##...##..#....##.#.#######...##.##.##..#.#.##.#.####.##.####.##.##.#.##..##.####.###...###.#.##.#.###.##..##..######.#..#..#####..########.#.#.#####.##.#.#.########...#.##..#.#.##..#########......##.......####...###.##...###.###########.#.##..#.#.###.#.##.###..#####.##...#####..##.###..#####.#..###....##....######..###.##........##.......#....#.#####...#.#.#.#.#..##...###.#####...##.######.#..........#..#..####.#.#...####....#.###.....#.#.#.##....##.##.###.##..##.....###.##.##.#..#######..#.###......##.#.#.....####..##.###...###.#.#.#.#..####.##.##.#.#.#....#.###..###.#.......##.#.##.#..#.###.##.###.##.......####...###.#####.##.#...#.#.#..##.#######.#.......#.#.#.##...##..####.#.#.#...#####..##.####.#.#.#.#.#....#.#.##.#.##########.#.###.#..##.######.#.#.##.#.#...##.#######...###.#..###.......####.#....#..##.##########..##.##.##..#..#.#.##.#..##.......##.##.#.######.#...##..######.#.##...#..........#.###
#.#...########....##..##.##......###.##..#####.#..#.##..##..#.....#.###.#...##....##.....##...#.....####.##...#.#.#####.....#.##....##..##..##...#....##.##.###.####.##.#........##.#.#..#######.#.####....##.#.#..##..#.#.#.####.##..#.#####...####.##..###.##...#.##.#.#.......##...#.##....#......##.#.#..###..##...##..#.##.#.....#.##.###.####.#..#.#.##.#.########.##..###.########.........#...........####.##.......###.......##....########.#####........##.##....######.#####..........#.###.##.#...#..#######.##..##.##...#####.###...#######.##..#######.#.#..##....###.##..#.#.#.##......##.###########.#...##..##.###.#.#...........##.##.....##.....#######.###.###...##...##.###.#...##.#....###.#######.#.......#..#.###.#.#....#.##.###..#.##..#.##.#.........######....#.#...##..##.#.##....##.....###...#..#.#.##.##..#.###.##.##...#.##.##.#######.######...##.....##..####.####...##.#.##.#..#.#.##..###.###..##.#.##..##...#####..##.##.#.####...###.##.#...###
########.#.######..##....###.###...#..#####....##.#.##.##..##.###....##.#.######.##..#######.###.##.##.#.####.......#######....###.##..##..#####...##.#..........##.....####.##.##....#.###.#........#####.##.#.#.###.##.......#####.######.#.###.##.###.#.#..###.#........####.##..#....####.##.#.#......#.##.##..###.###...##.#####...##.#.#.##.#.##.#........##.#########.#.####.#.#.#.#.#.#.######.#.#.####.#..###.###.##.#.##.##.##.######.......##.####.###....#####.####....#.###.#.#.#.###.##.....###.##..#.##.#.#..##..####..#.#...###.##..###..###.##.#........#####.##.#.##.##.#.#.######.##...###..#.###.##.##..##...##########.#####.....####.######.###..#...#.###...#..###.#........###..#.####.#..##..#######.##.#.####.#.#.#.####.#..#.##.#.##.##.#..###.#.#.#..##.#####.#.#.####.##.....#.##..#####.#.###.#.##.#.....##.#.#...##..###....#.##....##.....##.##.##..#######.#.#...##..###....##.#.##.#..#####...##.##..#..##..###....###.##.##.#..####.#######.#####.#
##.......#.#..##..######...#######.##..##.####....#.##.###.##.#####.##..#..#.#....##.#....####.####.#.......###.###.#.#######.##.#..##.#..##.....#######.#.#.#.#....##.########.#####.......########..........#.#......#######.#.#.#...##.#.#..##.#..#.#...#.##...##.###.#.##...########...##.###########.#.#...##.#....##.#..........#..#.....##.#.##########.##.......##.....##.......###.###.#......###.##.#.##.#.###...##.####..#########.#######......####...##..#.##.#..####....#..#.#######.###.####....##.#.##...##.###.#.###.#.###.#....#.##.##.....##.######.#.#.##.....#..#..#.#.#..#.##...###...##.#......#.##.####.##.#.#.##...##.#####.##....#.#......##.##.##.####.###.##..########..###.#.#.##.#.####.#.#.##..####.#.##.#.#....#.#.##...#....##.#....##...#.####..#..##.#.#.#..#.#.#..#.#######.##....#.##..#..#.####.##......#.###.##..##.#.##.####..#####...#..##..##.##..#.###..##.#.###.##.....#.##..##.##.##..###.##..##.##..####...##......##..#.....#.###..#..#
#..#####.#.##..##.#.#..##.##...#....##..#.#.#####...##..#######......##...##...##..######...##.##...####.####.###.....#............##..##..#########.#...#####.######......##.#.#.##..#######.##.#.##.###.#.#...#####.##.#.#...#...#.###....#.###.##...###.#..###.########..###.#.##.#.##.###.#...##........##.###.###.##..#.#.#########.#.#####..#...#.#.#.....#######.####.#####.#.##.#####...##.#.#.#....#.#.#....#####.##.##.#.######.....##......#.##.#.####.###...##...##.#####...#####.##.#.#.#.##.##.#......##.####..##.#.#.....#.#.###.##.#...#####.##..###...#...######.##.#.##.#.##...##.###.#.####.######.#.....##..##......#####........#####...####.####.....#.#.#####.....##........##...#.#..#.#.#.##.#....##...#..#.#..#.####.....####.####.##...##.##.######.##...###.#.#.#.##...#.##.#.##..#..####.#..##.#.##.#.....#####.##...#.#####....#.....##...#.###...###.##.....##.#.#.##.....##.####.###.###.##.#...##..##.##.##...##...####.#..########...#####...##.##.#
######.....###.#....##.##..###...##..##.#....##.#.#####.#.#..######.#####..#######..##..###.#...###.#.#....##.##..###.###########.####.#..#####....#...#.#.....#...#..####........###..###.##.#.......#...#.#.#.##..#.#....###.###.#.#.####...##..###.##.....##.#.#.#...#..###................###.###.#####....##..#....####.#####.#.#.#....###..##.###.#.###.#..##..#...#.#..##.#.###....#######..#.######...#.##.###..#..#..#..#.#..##..#.#....##.######....#####.#.#..#.####.......###.##.......#...##....######.....##..##..#.#.#.#...#.##...#.#.####.##..#.##.#######.#.##.........#.#..###.##.#.#.#.##...##.#...##.####..########..###..#.####.#.##..###.#.....#####.#.#.#.#.###.###########.####.#...##.#.#....####..###...##.##.#.#####.####.##...##.#..####..####.#......#.......#....##.#####...###.##..###.#.##.....#.####.##.########...#.####.#...######.###.#####...#..##.##.#.......##.#.##...#.....#.#....#.#.#####..#.##.##.####.###......##.....####..#.##.###..##.#
#.##.#####...#...####..##.##.#.####.##..###.##......##....#.##....#.##.###..#.#....###.##.#.##.##.......##.#...####...#.#...###....#.#...###..##.#...#.#########.#...##....####.###.##.#.#....#.#########.#####..##.#.####.###.#.#.#.#..##..#..##.#.#..#.#.#..#.#.#.###.####...##.#.##.##.###.#.#.#.#####...##..##.##.###.####...........##...##..#..##.#.#.###.####...#.....##..########.#.#.##..#####..####.#..#.#.##.##.##.##.#.#.####.####.#######.#.####....##.####.#..#.###.###.###.########.#.##########...#.##.##..####.#.#######...###.##.#..##.....##.#....##.##....#######.###.#.##.#.##.#.#.#..###.#..###..#.##.##.#.#......##.######......###.##....#.#####.....#.#.#.#....#.#.##...#..#.#.###..#.#...#####.##..####.#..#.......##.#.##..###.#..##..#.####..#.####.#########...##.##..##.##.##......##.#.#.######...#.##..#.#.##.....#.....##.########.#..##...###.#.#.#####..###.######.###..#.####.##.###.##.....#.##..........##...######.######.##.##.##..#...##.#..#
#.....##...#...#..####.#..##...#.....##.##...####.#######.#..####...##.....##.####..#..##.#..#..###.#.#.#..##.####..#...###.#.####...###.#.##..#######.##.....####.###..#.###....##....#.####.####.........#.###...................#.#.#######..#.#.#.#######.#.#.#.##..#..###.#..#########...............#.###.........#.#..###.#.##.#####.#.##.##.###...#.##....#..#.#.##.####..##.#.#......#######.##.#.#....##......##..#.#..#.#.#.####..####.##.#......###.##..##.....##.#.###.###.#.#.###.##.....#.#....###.#.#...##.#.##.#..#.######........#.#######..#.###.##...####.#####....##.#..#.#..#.#.....##.#.##...##...##.##.#.######..#.##..######.##.#.###.#.###.#.#####.#.#.#.####.#.#.####...##....###.#.#.###.##.....##....#.##.#######..#..##..#..#.###.##..#.##....#.####.###.##.########.##.##.#######.##.....#.#..###....#.##....####.####.#.....#.#...#.#.#####.....###.#.##..###..##.##...#####.###..##.##..##.#####.#..##.#.#.######..###...#.#.#..##.#..##.##.####.##.#
#####....#.######...#..#.####.###.##.#...###.#.#...#.#..#.#.###.###.######.##..####...##..##...##.########.........####...#......###.##..#.##.########.######.#.#..#...####.####.#####.#...##..#.#####.#.#.#.....#.#.#.###.##.#.##...#.##..#.##.#.#....##...#.#.#.#..##...##.####.##.###.#####.###.#.##.#.#.#.#########.#.#.##.########...#.####.#....###.#....##.########...##..##....######...##.#..##.#.####..#.####.###.#.##.#.#...#.###.###..#..######.#.#.###.######.##.#..##.##....#.#...##.#.###.####.#...###.####.#.#..#.##..#.#...##.#.#.#.#.##.##.##..##..#.###..........##..#...##.#.##.###.####.#..###....#.....#.#..###.##.#..##...#....##.......#.##....##.##..............#.#.#..#..###.##...#...##...###.#######...#..#.#.##..##.####.##..........##..####...##..............#.#..##..#..#.#.....#####.#.#.##...##.#..####.##.#..########.##.#.###......######..##....##.#.##....####..#.#....##.##.###.##....##.#.###########.###...#.#.#.#.##..#.##........#.#..#.#
#.....##.######...#...##.#.########..##.##.....###.#.##.#.#..#..##...#.#....#.##.####..##..###.....#.#.#...###.#.#...##.#...#.##......#.##.....#.#...#.#..........###.##......#...#.#....#####...#.###############.###.##..#..#.####....##...##.#.##.######.........##..####...####..#.#..##....##.#..#####.#...............##.##.##....#...##...#.#.###..####.#...##.#####.##..######.##...###.##.#.##.........##.#..........#......###..#..#.##.##.#..##..........#.#.##.##.#.##...####.#.###..###.##..##...##.###...##..#.##.#..#.##...#..#####.#...##..#..##.###.#...##############.#.###..#.#..#.#.###..#.##.###.######.#.#.##.#.#..##.####...##..######.########.##.#..#.####.#.###.#.#.#####.##..####.#.######.#.#..##...###...##.#.#..###.####..#####.########..#.###.#..#.#.#####.##.#.##..##.#.##.#####.#.##....#..######.#.##.##....#.##.#............#..######..#.#.######.##.#.##.####.#..##.###.##..##..##.#..#.##.......#..###.#.#.#.#####.#...###.#.####.######.##.#.#
#####.##.#......#####.##...#.#.#..##.....#####.##....#....##...##..#...#.##...##.#.##.###.##.#####.....#.###...#.##.######.######.###....#####.#.###.#####.##.###.#...#..####...#.#.###.###.#..#.....##............##..#..#####.#.####.#####......##...##.#.#.#####..#.##..##.##.###.....##..#.##..#####.##########.##.#.##....#...####.###..###.#.###.##...######.....#.#..##.##.#.#..####.....##...######.###..############.#.######.##.##.......#.##....#.##.#.#................###.##.#.#.##.##...##..###....#.##.####.#.#..#.##..##.###..########.###.#.##..#.#...###..##.#.###....#...##.#.#.##.#...##...##.....##.....#......#.#.###....######.##.#.##.#.##.##...#.######.######.........#.#..##.#.##.#...#.#....#.#####.#.##.##..#...##.#..##..####.....#.#.#..##.##..########.#....###..##.##.#.....##...#..####.##.##.##....##..###.#####.###.###.####...##.##.##.#.#...##.#.#..#.##.#.##.##....##...##.##.##....########.####.##...#.#.#..#.#..#.###.#....#.#...##.#.#....#
##.#...####.##.###.....#.###.#...#######.##.#..#####...##..###.#..####.######.##.#.##.#..........##.#.#######.#######.##.###.##.###.####..#.#....##..##..###..#...#.#.##.#..##.##.........#.######.#########.#.###..##.#.##.#####.......##.###.#.##..####.###.#...##....##....#....#####.##.##########...............#########.###.#....####.....#..##.##.#..##..#.###.#.#.##..##.#.##..#.#####..###.#.#..###.##..##......#.....#..###....####.#.#...##.#.##########.###.#.##.####.#...#.......#.###.###.##.####......#.#..#.##.#..#.#####.##..#..##....##.#.###.#.###...##.#..#.#.##.#.#.###..#.#.##...######.####.########.#.#.##.#.#.#.#.####.##.#..#.#.#....##.####.#.#.#.#.....#####.#####...#.##..#.#..#.###.####....#.#........##.#.###....####.##.####.##.#.##.#...##.#.#..##....##..#..##..##.##.#.#####.##.###..#..##..####.##.##....###....###.....##.####..#.#....#.###..#.##.#.##.#..#.####.####.##...#.#..##..##.##....#.#..#.###.#...##...##.....####.#.#.###......####
#....#.##.######.#####...##..#.#.##.##....#.##.#.#.######.####.####.##.##.#...#.....#.####.#.###.####.#.#...###.##.##....#....#.#...####.##.###.####..##.##..####.#########....#..#.#####....##.....#.##..################....####.##.#......###..##..##....#####.####.######.####...#.#.####.#......#############.####..........#.######....###...##...####.###.#####.#.#.##.##..#.#..##.#..###.#...#.#.###..###..######.#####.#.##.#.##..##..#####..#####....#.#.###...#..######.###.#######.......#...##.#.##.##.#...##....#.#.##..#.##.###...#####.##....#...#.#.#.###..##...#.####.#.#.##.#...####..##....#..####.###...#####..#...#.#..###.#..##.#.#.#.#####.#....#.#.#.####.##.#.####....#....#.##.##.#.##..##.####.#.#.######.#..#.####.####.#.##..#.#..#.#.##.##.##..#.#.##..######.#.##..##...#.#.#.....##.#.##.#.####..#......####.##.####.##..#.#######.##.#.####.#.#.##...##.#.##.#.##.#....#.#...###.#.#.####.##..###.##.#.##..##.###.####.##.#######..........####.####
##.#.#.#...#..#........#####...###...#.##...........###.#.##....##...#.##.###.###.###.##.#####.#.#.#....###.##..##..####.####.#.###....#.##.##....###..#.#####....#.....#.##.#.##########.####..###....##..##.#...##..#.#..##...########.#.#.##..####..##.#####...#.#....##...#.##.#.......#..######..#.....##.....#..######.###...###..########.#####.###...#...##........#...##.#.##.#....##.#.###...#.##..##.#.##...............#.####.#######.###.##.#####...#.....###.##............##.########.#.###....########.####.#...#.##.##....#.#.###.#.#..####.###.#.#.#...##.##.#...#.#......##...#..##..######.#.###.#.....#..#.###...#.....##...##......#.#...#.#.####.#.#.#..##...#.#.##.###.#####.#.##.##.#.##.###.##...#.#.#......#.##...##.##...#.###.#...##.#..#.##..##.#....####.#.......##..###.#.#######.......#...##.##.#.#.##..##...#.##....####...##..#.#.........#...####..#.#.##....#.####.#.###.##..#....#.####.##.#..#.#.###..#..##..##...#.#..##.##.#######...####..#
######.###.##.########.##.#..#...###.#####.##.#####.#.#.#.#####.#..#...##.#.#.#.#..##.##..#.#........##.#....##.##.##.#...##....###.##...#...###.##...##..###..########......###..........##.######.####..##....#..##.#.#######.#.#.######.#.###.##.##.##..##.###.#.##.#.##.#...#####.##.#...##....##.#####..########.##..########.#.#.##..##......##..#.###.##.##########.###.#..#.##.####....#.#.###....##.##...##########.#.#.###..##...#.###......#..#.#.###.##.##.###############.#....#.#.#.##.#..#####..##.##...#..#####.#.#...####.....#.#.#.#.##.#..#.........####.######.#...########.#######..#.##..#.#.#.########...#.#########.####..######.....###.#.##.........#####.#.#.....######.#...##.#..#.##.#.#..###.#.########....#.###...###.....#.###..#.#.##..##..#.####..##..####.######.....#..#.#..#######.##.##..##.#####..#####....####.#.#..#..##.#.#######.#.#.###..##......##.###.##.........###...####..##..##.#.##.....##.#.##..#####.#.#.##..#......#####.#.#..##
#.#.##.#........##.....##.#.######.#.##.########........#..###....####.##.......#.##..###.#.###.#.##.######.##......#...#..#.##.#.####.#...#####..###..##...######......#.#.######.######.##.#.#..#.##.##..#######.......###..........#.####..##..#..#.##.##...##.#.##.###..#.#..##.#######.######..#.###.#.##....#.#.###...#......#.#..##....##.####.##.#.#.#....#.##.........##...##..#.##.#.#.#..####.##..####.#..##.#.######.##..##..###...######.##.....#...#######.#..#..##.##.######.#..........##.#...###..##.##.###......##.##.######...#.#.#.##.##...#.###.#..##..#.##.#.###....##.##..##..##.##....##.#.#..#..##.#.#...####...##..##..##.#..####.##......#########..##.....##.##..##.#..##.##..##...##.#.#.##.#....#.#####.####.#.###...#####....###.#.#.###....##.#.###..##.##.#..#.#######...##.##..###.##.##..##.##.######....##.####.#....#.#####....###.#.###.#.#.##.###.#.#..#..##..####.#.##.#.###..#.#.####.#..#..##.#####.#.##.##.#.#.#....##.#.####...##..#.#.###
#.#..###.#####.#######..#...#.##.#.#.#..#.#......##.###.##...####.##.#..#.##.##....##.#.#.#.#.###.#...##.....######.######.####...##.#####..##.#.##...##..#####....#.#########.#.#######...#.#.##...##.###.#.#.#.##.###.##.#.########....####.###.#.##.#...##.##....##.#########.##.....#.#.##.#.##.#.#.#....#.##.....#.###.######.#.#.####.###..#.#...#.#.....##....####.#.#.#####.###.#.####.#.#.##....###..##....##......#.#..##.##..##.##.##......####.#.#.#..##.###.##.##..#.#..#......####.#.###....##.##.#.##..##.#.######.#...#..###.###...#.#.#..#############..##.#.##....#..####..###.#..##...##.####.#.##.#.##..#####.#..##.##..####.#..##..#.#..##.#####.#.##.#..#######.######.##.##.##.#..#####.#..#...##.##.###.#......###.#.#...###.##..####.........####.##.#..##.##..##.##....#.#..###..#.##.##....#.##.##..##.#.#....####....##.####.#..##.####.#.#....#....#.##.#.######.#.##..##....####.#.####.#.#..##..##...##....##..#..#..#.#.#.##.#.##...#.####..##.#.#.#.#
#.##.######.....##.####.###.#.#......##.#.#############.####..###.#....########.##..#.......#.##..###..####.##.####.##.##...#.###.#....###.###....###.#..####.##########.#.#.#....#....###.#.#.####.##.#.#........#####.##.###..##....#.##...........#.##.##...#.#.##..#.#.#.#...######.#.#.##...#....#.###.#########.#.#..............##.######.#.##.##.##.#.######.#....###.#.#.#.#.#.#.#.#....#..####.....######.#######.#.##.......###.##.##.####.#.####.#.##........#...##...##.####.#......#.#...##..........##.......#.##....###.##....####.....##...######..####..#.#.#####.##....##..##...##..###...#.#.#.##.#..##..##...##.#.....##.#....####.....##...#.##....#...##.#......##.#...#..#.#..##.####..#.##.###......##.#####.##.#.#.###..##..##....####.#######.#....#.##.....###..#.####.##..##.##.#..#####...##.###.##...####..##..##.#....#....##..#.##.#.####...##...##....#.##.......########......#.#......####....#####.#####.#.##.##.#......####.#......#######.#...#
#....#.##.#####.##.#.....##...######....#..#..#..........#.#.##...##.#...##.#.#.###.#######.#..####.#.##..#.##.#..........#....##.##.###...#.####.#.#...##..#.#.###........#.####.####.......#.#..#.##...#.######.###.#.....###..######.#####.##.#.#...##..##.####..##.#.#.#.##.##.##.#......###.####...#...#.#.#.....#.####.#####.###..#.##.....#.##.#...#.###..###.##.####................###.##.##..#####.##.##..#.#.#.#......#.#.#..#..##.#####.#.#..###.###########.##.#####..#.#.#####.#####.#.#.#..##.#####....####.##..####.###..##.#....#####.##.###..#.##..#.##......##....#.#####.#####.##.##.##.##.....#..##.#..#####.##.#####....####.##.#####..###.#..####...#..#.###.##..#.###.##.#.##.#...##..##.##...#####.##..#.#...........###..##.###.####.#.#..#.#..####.#..##.##..#..##.#.##.###.#..##...##.#...#.....#..###.##....###.########.####....##.#..#.##.##.#####.##.####..##.######..##..#.####.#...####....####.##.#....##..#..#.##.######..#.####.#######..##.#.###
####.#.#..#.....##.####.##..###.##.####.##.##.##########.#.#.#######.##.##..#.###.....##.##.#.##.#....###...##.#####.########.##.....##..#...##.#.#.###.##.##.....########...##.#..###.#.###...##.#.####.###.##.#.....##.##...##.##.#....##.########.#..#.###..##..##..#.#.#.##.##.##...###.###..#.####.###.....#####.#.#..####.####...##.####.#...##...########.....######..#.#.#.#.#.####.....#..###.###.#.##..##.#.#.#.#############.#.###.#.##......##.#..##.........#.....###.....#.#.#.##....#.###########...#.#####..#.##........######.#..##.#....#.##.#..##.#.######.######.#...##..##.#..#.....##..##.##.##....#.##.###.#..######.###....##.#.#.##.#.#.#.##..######.....#####.................#..##.##..##.##.#.#..##.#.#####.##.####...##..#.#..##..#...##.##......#.#######.##..#.#..#.#.#.#.##..###....#.#.#.#...##.#..####.##....###.#...###.#####.##...#...####.#..##.#.##.##.......##.##.#####.#.###..####.###.........######.#.##.#..#.#.##.##.##.......#.#.##..#.###
##.#.#.##.###.#....#.......##.#.##......##.#..##.##....#.#......##.###..###.#..####.#.......#.##.####..##.#..#.#.#.####.....#.######..######.##..........#..###.#....##.####.#..##.#...#######....#.#.##..#...#.####.########.##....####.#...#.##.#..##...#.#.##..####.#.#...##..#..#####.....##.#.#.....####.#.##......##..#.#..#####.##.#.#####.#####.##.##..#####.#.#....##.#####.#.#..#####.#.##.#.#......##.#......#.#.###.#..##.#.#.#.#.#.#..#.##.##.##..##.######.###.#..######.#.....#..##.#.#.........#.#.#.#.....##....##.#####...#####.##.##.###....##.......##.##...###....#####.##.##.###.#####..####..####...##.#.#.#.##......#.####.#....#.##...#....##...##.#####.##.##.#.###.##.#.#.#.###.....##.#..##.....##.......##..###....#..##.#.#.####.##.##...###.##....#.#.....##.#.#.##.#.....###..###########.#.#..#.##.#.#...##.###.#.##.##.#.#.#.#.####.###.##.#.##.##.#.##..##.######..##..##.......#.##.####.######.####.#....#..#.#.##.#.#......##.######....##.#.#.#
#..#......#...####.#######.##.#..##.###.##.##.#...####.....####....####.#.#.##..#######.###...##.##...######........#.#####...#.###..##.#.##.###########.#.##.######.#.......##.##.######......####.#.###.###.#..##...#.#.#.#.#..##.##.....#....#.######.##.#..##..#.#.#.###.###.##.#..######.##...#####.#.####.#..####.###.....##.....##.#..##...#.##...#.###.#.#.#.#...#.#######...####.##......##...#####.##..#####.##...#.#.#.##....#.#.#.#.######..##..#.#####..#....#####..........#.#.##..########.####.###########..##.#.##.#.#.##.##.##...#.#....#.##.##.###.#.#...#.###.####..#.#..##.....#...#.#..###...##..###......#.#.#######.#..##..####.#.####.##.#####.##..#......#.###################.#####.##.##..##.#######.#.#.#..#######.####..#.#.##.#.#...##.##########...#####.##.#.#.#..###.###.#.##..###.#.#######...##.#.##.##....#.#....##.#.........##.#...##.#.##......##.##..###..##.##.#########.#..#...##..###....#.#.##.###.##...##.....######....#####.###..#.#.#
##.#.##.#...###.................######..#.....###.#.###.########.#...#....#.##.##.##.####...####.##.#...##.###.####...###.#.#...#.##.##..........###........#.##.###.#######.##.#..#.##.######.##.#.#.#.#.#.#.##....#.#.#.#.#.####..###########.#.####....#.##.###.#..........##..#.#.##.####.#..#.##....#.#.##.####.#..#.#####.##.###.#..##..#.#....##.##..#..#...#.#####.#.###.#######...#####.#####.###.#..##.#...#.####.#.#.#..####.#.#.#....##.###..##...##..##.####..##...#.###.#.##.#.#..######....#.....#.#.#......#####.#.......#.##..###...##.######..#####.#####.#..#..###..##.##.######...###.##...###..##.....#.##.......#.#.....####.##......##..##.##....###.####.#...#.###..##.####.#.#..##.#...#.##.##......#####.#...###.#.##..##..##...##.#.#.#.#...#.##....##.##............#.##....##....#.##.#.#..#######.##..........####.####.##.#.####.#####.###.##...###.#####...##...##....##..##.##.##.##...#..##...##.#...#....###..##.#######.##.##..#.##..##...##.#.#.#
#.....#####.##..#.##.#.####.###..#.#.##...#.#...........###...######...##.......#.##...####..##..#####.###..#######.###...###.###.....#######.####.######.###.#..............#....##.....#.#..........#.#...#..##.###.....#.#.#.###....................##.#.##.#.#.###.######.###.....##........##..####...#.##.##...##.#.##.....###.#.##..##.#####.##...##.##.###...#..####.#.#.#.###.###.#...#.#.###.#.#.##.##.###....##....#.##.##.#.#.#.##.#.....##.#####.##.##..#.###..########..###..######..#.##########...#.######.##.######.#####..##.#.###.##.#.##...##......##...#.##.##.##.##.#..#.##.###.#.#.#..#...##.###.####.##.##.##.....#.#...##..##.##.####.##..####..##.#..###.#....#..##..#.#....##..#...#...##.#..####.#.#######.##.....##.##.##..###..#.#.#####....####.##..##.#.#.#.###.#.####.##..####.##.#.#.##.#.#....####.##.##.##.#..#...........#.#.#.#.#.#.####.....#...##.##..######.##..##......#.#..########.##..###...####.##.##..#.##...##.##.####..##..####.....#
##.#.###.#############.#....#.##.#.#.####.#.##.#.#####.##.###.#.##.#######.####.#.##.###....####..##.#.#.#.##.......#.###.##....####.##..####...##..###....##.##############.###.#####.#.....##.####.##.###.#.###########.#.#.#..####.##.#.##.##.#.##.###...##...#.#.####.#.#.#.#.##.####.#.#######.#....#.......###....#..###.####..#....##...##.#.###.##...#..####.#.##.#................###...#.#.......##.#....####..####.#.#..#....#.#.########.##..##.#.#..###....###.#..##..##########.####....##.#......#.#.##.#...#....##.#.##.#..###.#.#.#..#....###.#######.####...##.##.#..##...##.##..#......#####.##....#.##...##.#...##.##.#.#.#..#.######.#.##.#..##.#..##....##...#.##...####...####.###.#.#####.##.##.#.####.#.##.##..####.##..##..##...##.#.#..##.#.#####....##.###########.....#.#..##...##.#..#.#.#....####.#..#######.#..##.###.###.#######.#.....#.#.###.##...####.###.######.###.#######.#.##.##.##.#...######.#####..##.##.##....#.##.#....##.####....#####.#
##.#.##....#.###.#..#####.###..........####.######.....##.#.#....#.###...#.#......##.#.####..#.##.##.......#####.##.#.##.....#.##.....##......###..##.##.####...##.#...##....#.#.....#####.#.#..#..#....###.#.#.##..#.#...#.#...##.....########..#.####...#.##.###.#..##........###..#.########.....#######.###.##.####.#.##.#.##.##.#.##.####.##.#..#...#.#.##..#.....##.############.###..#..#.#.#######....###.##....##.#..#.##...##...#.#.#.##......##......##.##.#.......####.####.#.#...#..####.#....#.####.#.##.###.#.####..#.##...##.......##.#.####....#.#.##..#####....##.#.##..#.....##.#####.####...##.######################.######.#..#.##.........##..##..####.###########..#.###..........####.##.....#...#.#..#.#.....##.##.###.##.##..###......###.#...#.####.#...##.#.##..##.#.##.#.##..####.##.....####.##...##..##.##..#.##..#.###.#....#.#..###.#.#.#.#.#####.##........#.##....##.#.......#.#........#.#..###.#.###.##.##....#######.##.#.####....##.####.##..#
#..#..####.......##..##.#.##..#.#.#.##..#####.#.##.######.#.####.....###.#######.##..#.#..#.##.#...###.#####..##.#.....###.#.########.#######.#.##..#.#..#..###.##.###.#####...#.###########.#.###...##.#...#.#..##...###.#.#.#######.##..#.#...####.######......#.#.#######.##..###.#.#.##...#####.##.##.###...##.............##.##.#.#.......##...##.#####..##...###....#.###.#.#.#######.####.#..#.#.#..##.#...#####....##....##.#####.#.#.#.#######..#####.##..##########...##.#..#...###...##....##.###.##...#.##.#.#....####...#..##########.##.#..#.####.....##.##...###.##..#..#.##.##.##........##.###.##..#.###.....##.##.#.#...##.#...##.#.###.#####.###.####..##...##.#.#.#.#.##...##########.##.#....###...###.#.##.###.#..#.##..#..##.##.##.####.###.#.#.###.#....###.##.#..##.####.##.#..##.#.....#####.##...####..##....##.##.#..##..##.#.####.#.######...#.#.##....#########....###.###.##.####...##.#########.##.......#.#...#.#.##.#..#..##.#.#..##.###..#.#..###.#
##.#.########.##..##.......##.#.#.#####...##....#####.##......#..###..##.##.##....##.#.##.#..#.#.###....#..##....###.#.....#..#.###...#.##....#..##.#.##...##...##......#....#...##.##.#.##..#.#.#.####.###.#.#.#####.#.#.#....##..######.#.###.#...........##.#.....#.#.#.#.###.#.#.#.#..###.###.......#.####.#############.#.....#.####.##.#..##.###..#.#..#######...##.............##.#..#.#....##.#.#####.###.......##..#.#######.#...#.#.#.#.#.....###..#..##.#.#........####.##.##.###..#.###.#..###....###....#.#.#.####.####...######......##.#.##.##.####.##..##.#......##.#.####...###########..#.#...##.##.#.#####.#.........#.#....#....#...###.###.#.#.##.##..##.##..#...#.#.####.#...#.###.....######...###...#..#..#####....##.#.##..##....####.##..#.#..#..####.#...##.#.##..#.#...#.##.##.#.######....###.##.###..####....#....####.##......#...##.....#...#.#####..##.#..##.####.#.##...####.##.##...####..#...#####.###.#.###.#.#..##.##.##.#.#.###..###...#.##.#.#
######.........##..##.######..#.####.####.#####.#.#....#.####...#####.......####.##....##.##.#.#.##..##.#.###############.###.#.#.###.#.#####.#.##..#.#..######..######.########..#.#..#.##.##.#...##.#..##......#.#......##.####.##.#.#.....############.#..######.##.#.#.###.#.#.#.#.#.##...#.#######.........#.#.###...########.#.##.#######.##.##..##.##..##.###########.#.#.##.#....##...#.##......#.##..#.####.#.####.....##.#..###.#.#.#.#.###.#...##.##.#....########..##......#.#.####..#####...###.##...##........##..#.#..####.##..#.##..#.#.##....#.#..##.########.###..#.#.#..#####.#.##....##.##.##..#....#.##..#########.####.######.##.####.....#....#.##.###..##.###.#.#..##..###.#.#.#####.##...###.#.###.##.#.##.#.#.#.##....###.#..####.....##.#...##.###...###.##.#.###.#.###.#.#..##.#..#.#.####.....##...##....####.#.####....####.####.###########.##..###..##..##.....##.....#.#..##...#.##.#....##.##.####...#.#.#.###.###.##.....##...#...##.#.##.##.##...#
#.#.######.#.#####..#######..####....#.#..#.#...#.####.###..#####...##.####.#.....###.##..##.#....#.#####.#####.##.##.#...#.....#.##..#...###....##.#.##..##..#.##.#.............##.##....########.#..##....#.#.##.#.####....##.#.##.#.#####...##.........#.##......##...#..##...........####.#.##.#.###.##.###.....#.###.#.#.##.....##..##.##..##.###.##.##.###.#.##.##.###############..###.#########...###.#...############.##..##.##........#..####.###...#.####.......###.#######.#...#####.#.##..#.#################.####.#.##..#.#..########...#..#.##.....##....##..##..###.#...##.....#.#..###.###.#..##.##.####..##..#.....#####.#######..##....#####.####.#....##..###.#.......####.....#.#.###.#.##.###...#.#.#..#....#.#.###..####.#.#.#.##.####.####.#.###..#.###.....#..........#.#.#.#.###.#.##.#.#..#####.##.#####.#...##.#...#####...##..##....#.##..#.#.##.##...####.#####.#####.######.####...##.#######..#.#..###.#.#...#.#..##.######..###...####.......#..##.##
#.#.#.#..######.###.........##.#####.#.##.#.###.#..##...###....###.#####.##.####.##......##..####...#.##...##.#..#.#....####.##.#.###.#.###.###.##....#..####...##.####.########.##..###.###.###.####.#######.#.##...#######.##...##.#..##...###..####.##.#####.#.#..###...####.##.#.###..##..#.#.....####..#...#.#...........######..##.#.....##...##..#.##..#..#.#..##....#..##..#.#...##.#..#.#.##.#.#...#...#...#.#.##.#....##.#...########...##.#...##.#.....#####.#.##......###..###.#..##.#.##.####.##.##....#....#.##.....###.....##.#.#..###.#.########.###.######....##.#...###..#####...##.....#.##.#...#.#.##.####.#.###.#.#...#...#.##.#..####.##..##...#.####..##...#######..#######.#............#.###.......##.####.#..##.###.#.#......#..#.#.#.#..#..###....######.###.##.#.#.#.#.#.#.##.......#.#.##.....#...##.#####.##.##.##..###.##..#####.##..##.#.#.##..##.##.##..##.#.#.#.....##....#.###..#.###.#.##...#.##...#.#.###.#.##..#.##...##...####...##.####.###..#
#.....##..##....#.##.#.#.#####..#.........#.#...##.###.##.####......##..............###.####....##.##..##.##..##.#.##.#.#....#...........#....#.#####.##..#####.##.##.###..#.....##.##...##......###......#####.####.#.......##.###..##.###.###..##....##..##.######...###...############.###.....###.#..##################.#..##.###.#..#####..###.###...###.##.#.#.######...##..##.###.#....##.#.#....#.#...#.#.#...#.#..####..#.##.##..##.##.###..##.#######.###.#.###.#######.#...##.....##..#.#...##........##...##......###.....###.#....#.##......#####.....#.#..#.####.##...###...##.#.##.####.#.##.#..###.#.#..#..##..###.#.#.###.###......##..##...##..##.##.#..##.####.#.######..##.....#####.#.#.##.#.#.###.#.#.##.#.##...###.##....####.###.##.......##.##.####.#...##.#.######.#.........####.#.#.#.#.######.#.####.#.....##.##.##.##...##.##.##...#.##..#.#....##...#.##.##......##.########....###...#.#....###.#.####...#..##.#..##...####..###....##.######...#.##.#
#####..##..####.#..###.#.###.##.#####.###...##.##............####.#######.##.##.#####...#.#####.....##.##.##.##.....#.####.#.###.#######.###.##...#...###..#.#..##.##...##.#####....####..######.....####.#.##...#.#########.##...##.#....#.#.#######.###.###.##.#.#.#######...##.#.##.##.#.###.###...#.##...###.#.####.....##......#...##...#.##.....###.#.#.#.......##.####.###.....#..####....#.#.##.####.####.#.#...##....##......##.##...#...##..#.##.#.##..#.....#......#...###.######.###...##.######.##.####.##..#.#.##.###.#.########....######.#.##..##.##.#.##..#.#..#.######.##..#.#...##..#.##.##.#...#.#.##.####..#.......#....######.#..#####....##.......##...##..#........##..###.####..###.##.....#####.#.#....####......##.####........#####.###..#..##...###.#..#.##...#.#.#####.###..#.#####....#.##..#..#.#.#####.#..##..#..###.#..#..###.##.###...##.#####.##.#..####.#####.##.##.#..#.##...#.....#####....#.####.#.###...##..###....##.#.####...#...###.#..#.#
#.....##..##..#.##.....#.#............###.#..#.########.#.##....#.#####.##########.####...#.#.#####.##..#.#..######.####.###.########.##.....####.###..###...##.....##.##..##.#..####.#..##.#....##.#####.#..###.#.##.####...#..###....##.#.#.###..#..#.####..#......#.#.#.##.##..#.#..#.........####....###.#.#.#......#.#.####.##.###..###.#..##.####.........##.##.##..##....#####.##.#....##.#.######..###.########..####.###.#.#....####.#.#####.#.##.#..##...###.##.###...#.....#.##.....###.#....#.#######..#####.#.####.#.###....##.#..##.###.......#####.##....##.....##.#.#.##.#..##.##.####.#.#..##...#.#.......#.##.#######.####.#.#....##....#####....##.####..#..##.########..####........####.#..#.#.....###...####..##.#.#.#...#.#####.####.#.#...##.##.####.##..##.#.#..########......##...##.#####.#..##...##....##.#.##.#..##.##.#.##...##.#..#.#.###.#...##....#.#.##....#.##...#.#..####....#####.#.#.#.####.#.#......#.###..##..#####.#.........###.###...#.##.#
#####.###..##.#.#################.#####.####....#.#############.....##..###.#..##....#..#.#..........##.#.##..#.##..##....#..#.#.......##.##..##..####.#...#######.##..###.#..##..##..##....#######.#.....##.###.#.##....###.##...####.#..#.#.#.##...##.##.##.######...#.#.....##.#.##.##.#####.##..###.###......#.#.####.###.#..#..#...##.#.##.....###.###.#.#..###...##.###.#............#.###.#..##.###..#....#.##...##.#..#.########...#..#..##......#.#.#####.#....###...#.#####.#.######.....###.##.#.##.#..###.##.#####.....#..#####...##..#.##.###.##.#.#..####.######........##.#.##..##...####.##.###.##...###.###......##.......#.#.####.##.####..##.#####.#.###.####..#.#.#..##..##..##.######.#########.#.######....#.##..###.###.#.##.##..##..#.##.###.##.#.#..###......#.##.##.#.####.####.###..#.##....##..#..###.##.........##..##...##.###....##....##.##.######.#.#.#####....##.##.##..####.#....######.#.#....#.###.#.##.##..####..##.#...###.##.###..#.###......#
#......##.##..#..###....#.##.......####....##.#........#.#....#####..##...#.##.#####...##...########.##...##.##..##..####.####.######.##..###..##.#.##.##.##.#.##...##.#.#.##.###..#.###.##.#..##.#######..#.#......####.#.#..##.##..####.#.#.#.#######.#..##.#.######.#.#####.##.#.#..####.#.####.##.....######.#####....##....###...#.......###.###...###.#.#.##...#.....##.#.#.####.###.###.....##....##.####.#..###..#.##.#..#.#.#.###.##.#.########.....#..######.##########........##.##.###.##...#.#.#..##.#.......##...#.#...###..#######.#....###.#..#.#.##.#...###...###.####.....##.####..##..#....###..#...#.#.######.##.##.##.......##.#..##.#.#####........#...#.##.#.#.##.##.############.#..##.#.#...####..#..####.#####....##.#.#..##.###.##.##.#.#.#....##.#.######...##....#..#.#..##....##....###.##..###.#...#######.##....#####.##...##.#######.......#.##...#.#..##...####..##....##.####.####.#.#....####.#...###.....##...##.##..##.#########.#.##.#...##.#.#
######.##..##...##.####......#.##.##....########.#####.#.####.#.#.##.##.#...#...##...#..##.##....#.#.####.#...#.####..###.##...###.....####...##..#.#.....##.#.####........##.#.##.#...###....##...#.#.###.....##.#####......###..##.##.......#..###..#.#.###.#..........##....##.#.##.#.##.#.##.#.#..#.####.##...#.###.#########.##.##.#.#.#.....#.#####.###############.########################..##.###..##.#.##.#.##.#.#..#.##............#.#.#...####.###.##.##.#..#.##.#.###.#.#.#..#..####...###.#.#...###.##.#.#.####.######.##..###.#.##.######.#.##.#....#.#.#...#.#..####.####.###..#.##.####.#.##.######.#####.#.......############.##..##.#..#.##.##.#.#.##.#.###..#.#.#.##.#...##............##..#.###..#.##.##.#.....#####.#......#.###.#.#.##.#....#.##.####.#.##...###..####.##...##.#..######.#......##.#.#####..###....#..####.##...#.###..#####.#######.#..###.....#####.#..##.#####.##.#.#.....#.#.##.####.#.#.####..##.###.###..###..#.##..##.#.....#.#.########
##.#....##.#..###....#####.#.########.#...##.#.####..#...###......#..######.###.####.#.#########.......##.##.##.#.#..##....###.#.###.###..###..##.....#.#........##.######.##.#.##.#.#######.#####...#..#########.#.#.######..#..##...#######.#.##.##.....#.#.##.#.#.###..####......##...##....#.#.####.#.#.....###...####....##.....#..###.##.##.#.#.##....###..#........##.#.#.##...##..##.......##..##..##..#.#.....#.#.##.#..############.#...##.##.#...##.##.#..##.#.#..#..#########.#.###.##.##...#.#.####...#.#.#.#.####.#.......##.#.#.#....###.....#.#.#.##.####.#####..##..#.##...##.#.#..#.#..#..#.#...#...#.##.######.######.#......#..##..#.##.#...########.#.#.##...#.#.#..#.#####.#.######.####.#...##.........#.#####...#.##.###...##..#...##...##.#..#.##.#....###.###.###....###.##.#.##.##.###.#.##.......##.#.##.#.##.##..##...###.#.....##.##...##...#.#.##.###.###.##..#.##....##..##.#...#####...##.###..#.#.##...#####.#.#.##.#.##.#..##..#.#.#.###.#.#####.##
#..####.##.##...#.####.#.######.#.....###......##.##.###.#.######.#.##.#.#..#.....##.#######.#########.##.##.##...##..####.#.#.........#.##.##..####.##.##.#.##.######..........##.#.##..#.#..#.####...##.##.##.#.#.#.#.#..##.##..##.##.##......##.###.##......#######.##.##.##.###.####.###.#.#...#.#....#####.#.##.###.####....###.##.#...#####......##.###.##...##.###.##......###.##.###.#####..##.###..##.#.#####.#.#.##.##.#.###..#..#..#.###..##...###..#..##.#....##.#.##.#.#.##.....#.....####.#.#..#.###...#####.#.#..####.##.##...#.####.#.#####.#.###.##..#.#...##..####.#..##.##....##.#.##.#.######.##.##.##.#.#.#...#.##..######.##..##........####...#........###.#.#.##......#######......#...#.#.##########......####.########.#####.#.#####.######.#..#.#.####.#.#.#.#.####.....##......##..###########.###..#.##.######..#####.##....#####..#..######.#.#.....##..##.###.#..####..##....###.....###.#....##.#....###..#.##.#.#......##...###.##.#.###.....#.##...#
##.##.......###.#.##.#....#.#.#.#####.#######.##...#.#.#.#.#.#......##.#.##.#####..#.#..##.....###.....##.##.####..#.##.##.#.##.#.#.##.#.#..###.##.####..#####..##.#.##########.......##.....##..###.#................#...##.....##..#..#######.##...#########..#.#.....#..#.######.#.#...####.###...##.#.#.....#.##.#.#.#.###.###...########.#...#.#.##..##...##.#####...##.###.###.....#.####.###.....###......#.##..#.............##.##.##.#.#.##..###..###.##..#.####.##...##.#.#..#####.####.##.#....##.....##.##.........##.##.#######.#..##..#.#.#......#..###.#.#.###..##....#.##...##.###....##.#.#.##...#..##..#.#.#.###.#.##.##.........#####.#######.###.#####.####.#...#..##.#.###.#.#.######.###.#.###.#####.#..##.###..#..##....#.#.##....#.#.#....##....##.#..#.#.....#...##.##.#.#####.######..##.#.##....#.##.#.#...#.##..##..##..#.#.####.##.##.##.......#.##.##..##...#..#.##....######.##..#####.#.#.#####.##.#..###...##...#.#########.##..##.....####.##.##.###
#...#######..##....#.####........#.####.##....#..#...........#####.###.#.......#..#####.#####.##.#.#.#....##.#.###....#.##.#.##.#.####...#.##...#...##..###.###.#....#.#...#..#.#####..#####..#.##...##.#.##.##.#####.###.###.##..##.#.##..#.##.####.##..###.##.#.#####.##.#.#.##.....###..##...####..###.#####.#.#..#.#...#.#########.##..##.###.#.#..##..###..####..###..####..#.#####...##....#..#####.######.#..##.#.#.#.##.##.#............#.#..##.#.##.#.###.#.#.#...##.###.....##...............##..###.###############........##..#..##.###.#.#.#.####.#.##.....#.#.##.#####....#.###....####.##...#..###.##..#.##.#...#.#.#.#...#######.#..#.....#.#..#.##..#.##...##..###...##..####..#.#.#.#.##.#......##.......##..###.##.#.######.#.#.####.##...#.########.##.#.##.#####.###.##....#.#.#......#.##.##.#..####.#.##.#.##.##.#..####....####..#.#.##.....#.#####....#.###.####...##.#####.#..#.#.##.####........##.#.#####..#..#.##.###.#.#.##.##..##.##.#####..#..#.##.#.#
#.#...##.###..###.##.#.#..#.#.##...#.#...####.#########.##.#..###......#.#.###.##.#.##...####.#..########.##.#.#.###.##..#.#.#######.###....###.###..#####....#.####.#.###.##.###.....##.#.##.#.##.################.#.##...####..###.#..##.#.##..##..##.##...#.....#.#.........#####.###..####.##..##.##...###....##...###.#.###....##.###.##..####.######.#.##.##.#.##.#.###.##.#.###.###.#####.##.#.###.##.#.....##..###.#############.##.#.#...##.##...##.#.#.......##.###.##..###..######.#.##.#.#####.##....##..#.#.##.###.#.#.#..##.##......#.#...###....#.######.....##...#.####....##.######...###.##..##..##....#.###.#.#.#.##.##.#..#..##.#####.#.#.##..##....###.#..##.#.####.###.##...#.#...#..#####.#####.###.##.###...#.#..##.#....#..#.#.####.....#.#.#..##......##.....##..#.##.#...###.####.##..#.#.##....#.##...##.##...###.####.##...##.#.##.########.#..##.###.#..##..###...###..##.#...#...#.#######.###.#....###...#####.##....#.##..#.##.........##...##.##...#
#####......##.....##.#...#########.#.##.##.....###....###..##.....#.##.#######......###.##....#.##.........#.#.#.#....##...#..#####....##.####....#.##.##..##...#.##....##.#..###.###.##.#..#.#..####.##....#.#........###..####.#.#.##.##.#.##.####..#..###.#####.#.####.####...#.#...##...##.#..##...##.##.####.##.####....#.#.##.........##...#...##.##...##.##.#.#.....#.....#.#.#.#....###.........#.#..#####.###...###.............#..#####....####.#....#######.##.#.#..##.#...##..############.....####.####.#......#...#.###.###..##.###...###..#####.#..##....#.###..###.####.##.##.#..#.##.###...#.##..##..##...##..#.....#..##.##.##.##.#.#........##..####.##..#.##..#..##..#.#..###...###...##...#..#.######.#...#..###.#.##..####.#.##....#.###.###.....######.########.##.#########.##...#.#.#..##...#####.#.####..#.####.##..##....###..#.#.##.###..#...##.#####..##.###...###...##..#.###.##.##.##.##.#.##..#.####.##.##.##...##.###..##.#..###.##########.##.##.###
##.#####.########.#..#####.#.#........#.######...####.....#####.#.#.#..........##.#......####....#.#######.....#.####.####.#.##.#.#.##.......####.#.#..###.####.#.#####.#..##.....###.##.##...##..##..###.#...########...#.##.#..#.#.##.##.#.#....###...##.#.....#.#.#..###..###.....#....###....####.##..#...#...##..#.####.#.#########.##.####.#.#..#.#..#..#.#..#.#####.###.#.......####.....#.####.##.##..##.....##.#########.#.#.##.##.######.#...##.#.#####.###...#.#.#.#######..##.#..#.#..#.#####.##.#..#.##.######...#.###...#.#.#########..###...###...#####.##...##.###.......####.#.##.#....###.#..##..##.########.#####...##..##.####....##.####.####..###..##.#..##.#.##..##...####.####..#..###.#.##.#.#....#.###.##...#..##.#.......####...###..######.##.##..#.##.....##.#.#..##....##.##.#.##.####.#.##....#.###.#..##...##.####.##...##........##...###....##..##....###..##.#####.#.#...##..#.##..#.#..##.#..#.#.......####.##.#.##..#.#.##.#.......#.##....##...#
#........#.#.#....##.#.##....##.#####....#..####.##...##.##.....#.#.#.#.########..######.##.#.######.##..##.##.#.####..##....##...########.###......#.##.#.#.......##.#.##.#####.##....#.####.###..##...#####.......#..#....#.##.#.......#.#.#.####...#......###.#.#.##..###.##..######.#.....##..#.#..##.###.###..##.#.#.......##.##..#.#...##..#.####.#####...##.........###.#######.######.######.#.#...##..####.##...#..##.#..###########.#.######..#.....##..#...#........#.#.###..#...##.##.#.#.#.#.##.##.#.##.#.#.##.#########...#.##.##.....##.##.##.###.##.#######.#....######.###.....##.##.###.#.#.##..##...##.##.#.#.#.##.##..##..#..####.##.##.#.#.#..##.##....#.###.#..##..###.##.#.##.#.###.....#.##.#.####........###.##..#.#.####.##..#.###.##..##....#...##....#####.##.#.##.####.##..##.#.#...##..#..##.###.......###.###...#.#..###.#..#########.###.##.#####..###.##.#.##..#.##..#.###.###...###.#.#.##..#.##.####.####.##..#...###.....##.#.#######....#.##..###
########.#.#.####..#.#.#####.#####.#####.##.......#.#.##..##################..##.######..##....#.##...##..###.......##.##.#######.##.###.#.#.######.#.#..####.###.##..#.##.#.#######.#....##..#.#.##..####.###.#.##...###.#........##.##...#.#..#.###.###.#####.........##.#..####.###..##.######.#.##.#..##......##..#.#######.#..###.###.#.###....##..#.##..#.###.######...###.......#......##.#.#.#.##.####.......###.#.##..##.#....###.#......#.###.##.######.###.#.#####.##.#..###.##.###..........#.#.....#..#.#.#..#######.....#...##..#####.#..#..........#..##.#.....####.#.##.#.###.#.#..#..........##.#####.##.##.#.....#..###..##.#.##.......##.#...#.###..####.#.##....##..##...##.#..#.#######.#.#.##.#.#..###.#.####....##.#.###.#...##....##..##..####.###.##.####...#.##.#.##..#.#..##.##...#.#.###...##..########.###....###.....##...#.##...#.##..###.#..##.#..##...##.#..##...###...###..###.##.#.#.#.##.##.#..##.#.#..#.#..##.###...###......##...###.#####..##.#
#.#.#.##...#.##.##.#.#...##..#.#...#.....#..#.#.#...#.#####.####.#.#.#.......##..##...##..####...####.###.##..##.##.##.##.#.##.#..##.#.#......##.##.#.#.#######...###.#.#......###.#.####.###...#.##.###....######..####..#.######.####..#.....##.##..##..#.....#.#.##.###.#.##.#..#.########..#....#..##..#.#.#.####.#.##..#.....##.......#...###.####.#.#..####.####.....#..########.######.#.........#....##.##.#.....#....###.####.#.#.#.##.#....#.....##.#.#..####.#......#.#.##.#.##...####.#####...#####...##.#...##...#.########.##..##.....##.###.######.#.##..###.###.##.#.......##.####.#####.#.##......###..#.##.#####.##.#...##..#..##########.###.#.#.##.#..#.#.#####..##..###.#....##.####.##.#...#....#.###..####.###.##..#..##.##.######.#..####..##..##......#.###...##...###.#.##.##.###.####.#.###..##.#.##.##..#...##########.####.#.####....##.#...##.#..##.####.##...###.###...###.#.##...#..#.....##....#.##..#.#.##.#.##....######..#######.###.#.##..##..#.#
#......###...##........###..##.###.#.###.####.#.#.#####.#..........#.#######.###.####..#.#######..#.#......########.#..##.#..#.##........#.#.##...#.#.#.#..#.#..#.....#.#####.##...###.##...###.#..#...####.#.#.#..###.########..###..#######.##...#.######.#.#.######.##....##.##.#.#.#.#..##...##.##.#..######.##......##.####.##..#########.......##.....##.#...#.########..##.#.#..##..#########.##.#.#####.#..##.##.#.####.#####........#..####...#.#......#.##.#########.#....#.#..###.#.####.#####.#...##.##....######...#.##...#.#..###.#.#.....######.......##.##...##.#..###.#####...##.....#########.####...##.##..##......###..##.#.###.##.##.#...#........##.#.....#.##..#.##.#.####.##.#.#..######.###.##.#.##..#.#.##...##.##....#...##......##.##.####..####.###.#.###.####.#.#.#.##.##..##..##..#.##..##..#.#...##.##.###.#.##.#...##..#..#.#.#.##....###..#.##..#.#..##.###.#..####.#.#...####.##.###.######.##.###.#.#.......###.##.##.#.######.#..##.#....####...#
#####.##.###..########.#.##..#.###.#.#...###..###.#..#....#.###.##...#.#####..####.###.#......###.....###.##.##.#.#...##..##.#.#####.###.#.#....#.......#.##...######....#....###.###.....#.....##.#.####.#.#.#.####....##.##.##.##..##.#..##.##.######.##########.#.#.#..#.##.......#.#.##.####.#..#..##..##.#...######.#..##.#..######....###.####..#####..#.#.###.##..##.#.##..#...##..##.##.######......#.####..###......##..##.#####.#.###.#....###.####.###..#..##.##......##.#...##...#..###.#.#...###.....##.####.##..#....###.#...##.#########.#.#..##.#.#.###.#..###....##....##.###.###.####...##.#...#.###.....##..######.....##.....#..##......#.#######.###.#.#.#....##...##.#.#.##.##.#.##..##....##..##.#.#..##.#.###.##...####.#.#########.#......##..#####...#.#.##..#..#...........##..##....##....####.#.###.#..##.#.#.#..#.###..##...##.#.#######...##....##...##.#...##.##.#.#..#.###...##.##.#.#...##.......##...#.####.###..##.##..........##..#.#.#####...###
###.#.#..####.....##......##.#.#.#.#####.#.##.######.###############.........##.##.......##.#...####.####.#..##.#.###..##....#..##...##########.##.##.#....##.##....####...##..##.##..#.#.##.##..#.#..##.........#####.##...........##....##..##....#.#...##.#.#.....#.####.########...#.##.#.#####.##.#..##..###.#....#.#.##....##.#....##...###....##..##.##....##..##.#.....##.##.####.##.......#######.##.##...####.##.####.###..##...##########...####.....##.#.##...####.#..#####.####.#.##...#.###..######....###...##.##.#.....#.####.##.#.#.#....##.#..###.##....###..######.#..#.###..##....###....###.#.##..#####..##.##.#####..#####.##.#########..###....#...########....####.#.#.#...#.#..##..####..##.##...##.#......#.###.##.#.....##.#.#.#...#.##.#..###..###.....###.##.#########.#.#..#####.######..#.#.#.##....##....#.##.#.#.#.#####.......#.#.#..#####.######..#.###.#.......##.#..##.#..#.##.#.#.#########.##..###.##.###.##....###.#.#.#.#.###.#.#..##.###.#.#
#.....##.#.######.#######........#.###.....####.###................##.##.###..#..####.#.######.##.##.#..#.##.#..#.#.##..###.##.#######.##.#...#.#########.#######.#....#######.##..##.#.###..###.....###########.#.###....#.#######.#####....###.####.###.#......###...##.....###..###...##.#.#.##.....##.###.....####.#.#.##.####..#########..#..##.###.##.#####....##..#####.......#.#..########.#.#.###.##.##.#.#....#...#.#.##..##..#.##.#.#.#######..###.#.........#####..##..##...#.#..#..###.#..#..##..#.##.#...###..##########...##.#.##...#.#.##.##.####...#####.##..####.#####.....##.##.#########.#.#.#.###...#.#.##..##.#..###...#.#.#...##..#....##.####.#.####..##.####.#.#....#.###.#.#.####.##.##.##.####....#.######...#.##.#.###.##.#.....#########...##.##..#####.#..#..#.##.#.#.####.#.##...##.##.##...#.#####.##.####.#....#.#.##....##.####...##.#.#.#...##.##...#.#.#.###.####.#.######.#.##...#.#..###.#...##.##..##..##..#.####.#.#####.#.#...#.#.###.#.#...#
####.###.#.#.#.....###....##.###.......#.#..##..#...####.##.#.##.#....#######.#.###.#####.##.......####...#..##......##.##.......##.##.##...#.#.#....##.#..#.#.##.##.#.##.##.#....############...###.###..##...#...#.########.......#..#####.##..#.##..##.############.######.#.##.#.###.##...#.#..###....#.###.#.##.....#.##..#.#.##.##....##.##.#...........##..######.#####.#####.#...##.##..............#.##.##########.#.#.###..#.#####.#.#...##..##.#.#.##.##.###.#.#.######..###.#.##...###..##.##..##....###.#.#.##..#######.#.#..#.#..###...#..#.#..######.......#..##..#.#.#.##.#####.##...##.##.......#..###.##.#..##.##.#.##.###.....###..##.####.......#.#..##..##....#....##.###.#.....#.##......##.#..#.#####....##..###.#.##.#####....###.#..####.##..###..###..##...##.##...#......##.#.#.#..#.#..##.##.###..#.#......##..####......####.#####.###.#....#.#.###..####........####......##.#........###...##...##.##...##.##.####.#.###.....#.########.#.....#.#.#.###
#.....#..#.#.#####.#.#.##.##.#...#.########..##.#######..#######.##.###.#.......##..###....#######.##.###.##..#####.##...##.#######.....#####.####.#....#.##.#.#######.##..#...##.##.#.##.#..###.#.#..#..##..#...#...#.###.########.#.##......##.#..##.##.##..#.........##.#....#.........###.#.#########.#.#.###.##.#.#....##.#.#.#...####.....###########.###..####..#.....###...#.###....######.#.######.#.########.##...#.#.#.#.######.#.....#..#.##......########.......###.#.##........###.##.##.#..######.##..###..##..##.#...####.#.#.##.###...#####.#..#########.##..##.#.#...##.#.##...#.###..########...##....#.#.##..##.#.##..###.##...##..#....#.##.##...##..##..#.##.##.###..##..###.#...######.##..#.##.#.....#####.####.#.##..##.#.#########..#.#..##.#.##.#.##..###....####.#.####.##...#.##.####.#..##.##..##.######.###..######.#...##...#.#.##..####.#.....##.#.###.###.#.#.#######..#.#.#.##.#..####..###.#...#.####.##..#.#.....#####....##.##.....#####.#.#.###
#####.##.....##....#.##########.#######.#.#.###..##...####.#.#.#.######.####.##.#..##.####.#...###.#.......##.......####.##..#.#..####.####....#.######....#.#.#.##.....##.######.#.........##...#.##.##.#######.#.#..............#...######.##....###.##..##.########.##..####...###.##.###..#..##....##.#.#.##...########..#...#.#.###..#####.##.####..##.#.##..#.##.#####..####...#.##.###.##.#####.#....#..##..#......#..........##.#..#.##.###....##.#####....#.#######.#.#....######.#......#.#..##..#.#...#..###..##..##..###.###......##.#.###...##..#.##.........##.###...###.#.....#.###.#.##..###.#.##.######.#.#..#.###.#..##.....#..#.###.####.####.##.#....##..#####.##.#.##....##.###.###.##....##......#####..##...##......##........##.#####.#.#.##....##....##...##.###.##.###.##..###.......##..#.###.###..#.######.#.#.##.##...##.##..#.#.#..##.#....#.######.#.#.###.###.#..#..###.##.#########..###.##...#.###.......##.#.#.#####...##.####..#####..#.##.......#
#.##...###.#..####.#.##.###.#.######..#.#.#.##..#####...#....#.###.........#.#....##..####.#.#.....#######.########..##..###...#.##.##.##.###.##..#.#.####.#.#.#..####.##..#.##.#.##.#####.#######.#......###....#.#.##.#.#.#####.##.##.#.....##.####...##.#..#.##.#.#..##.#.##.#.#...#..#.##.#.#####.###.#.#.####.##.#.#.##.#.###....###.............##......##.##.#..######.#.####.......##.#...#.##...##...####.#.###########.######.##.#.####.####..##########.....####..#.##.#..#.##..#.####...#.###.##.###...##.##..##..##.##....######.##.#.....#####...#####.####....#...#.#...##.##.#.#.#...##.##.....##...#.#..#.##.#.#...##..#####.####..##..###.##.######.##..##..##.#.##.#.#..#####.##....#..###.######.###..###..#.#########..#####.#####.#.#.#.#.#..####..##.####.####.#.#....###....##.####.##..##.#.##...###............#.#...#.###.....####.#.##..####....#.##..#.#......#....##.##.......#.#####..##.#..#.#.#.#.##.#######...#.#.#.##.##..#.#..##.##..##..###.#####
#....#..#####.#.#..#.#..#.#...##.#.##........##.#.#.###.####...##..#######.####.#..##......#######.##.#.#..#.#....##..##.#.##.##.#..##....##..###..........#.....##.....##.#......#####.....##.##....####...####.########.#######.##.#..####.##.....##.###.##...##.....##..#.###########.#.#..#..##...#.#......##..#....#....#.#.####..#####.###.#.##.##.####.....#...##.............#####..#.###.#..########.#.##.###..............##..#..#..##.......###......###.##.#..##.#..####....######.####........#.#.###.##.#..####..#.####.##.##......###.#...##..#..##....####.#...#######.##..###.#.#.###...#####..#.###.##.#.##.#.###.##.###.#####...##..##.#.#...##.######..#.##..#..#.#.#.##.#.#.#..##...##..........#.##.....##....##..#..##.##..####..#.#.#.#.#.####..###.#.#...##..#.####.#.##.#.....######.##..#.###.##.#.####.#.#.#.....##########.##.##.#..##.##.#.####.###.#.######.##.###..##.###.###..##.##.##...####.#.#......#.#.###...#.#.#...##...#.###..##.###.#.#...###
#######.#.##....##.#.#.##.###.##...######.##.##.#.#..##.##.###.#####...#.#.##.#.##.#######.##...#.........##.####.###.##.#.#...#...####.####.##.##########.##.#.#######.##.######..##.##.##.##..#######...####.#.#.....#####.......#.#.###.#..####.##..##..##.#....###..##.#.#.#.##........##.##..###...###.######.####.####......###.##...##########.####.###.##.###.###.###.####.###...##.#.#.#.##.....#.##...##..##.###.#####.######.##.####..#####...#####.##.####.##.#..##....####.###.#.......###.####........#.##..#.##.#.#.##.#...######.#.#####.#####.########..#####..#.##...##.###....#...##.##...##.#.#.#.#..#.#..#..##..#.##..#.#.###..##....#...#......##.##....##.##.#.#.#..#.#.#.#.#####.#####.#.##.##..#####..#.##..##.##....###....##.#.#.#.....##...##.....##.##..##.#.#.....######.##..#.#.##.##..##....####.#.######.####.##..#....#.......###.##.#..##...##.#.##.........##.#######..##.##......###.#.#..#.#.##.###.....###.#.#...######.....#.##..#.#.#.#.###.#
#..........####.##.....##.#....##.##.##.####.##.#.#.##.....#.#..###..#.....##.#.#...#.##....###.#########.#..#.##.#.#.##.....###.###....##...##.#.###....#....####......##.#..#.#.##..####.....##.#.#.###..##..#.#####...#.#####.#......#..##..##...##.##.######.####..###.#.#.#..########.......##.###.#......##..........#####.##....##.##......#....##...#####.#....########..###...#...........##.#.##....###..#####...#......##..#.#...##..##...##.##.#......##.#.#....###.####....#...#######..##.#..########...#..##......#.##...#..##.##.#..##.#...##...##..##..##.....##.####........####.###...###..#.#.#...##.#.##...##..##..##.#.#..##.##..##.#######.####...###.##..#..#...#.##...#.#######..##.######.##.###..##.#..####..#####.#.###.##..#.#.#####.####..###.###...##.##.#.####.###.#.#..##...#..#.#..###.#####...####.#....###.###.##.#...#.#.###.#.#..##.##.###....########.#.##.#.##..##....#######..##...##.#....#.#...######....#.###..#.#.#####..##.#.#.#....##.#
#######.##...##..#####.#..####....##.#..###..........#####.....##.########.#..#####.#..####..##...####......##.#......######..##..####.#####..#.#.#.##.#...##..#.######....##...#.###....##.##.#..#.#.##..###.####.#####.........######.##....####.##..##..###.####.##.#.#...#...##.##.....##.##..#.#.#.##.#.#..##########.##.##..###.##...######...##..###..###....##..###.####..#######.#######.#####.#####..#..###.#..#.##.#.#..##.#.##.#########.##.##...####......###.##...#..####.###.##.#.##.##..#.##......###.##..#.##.#.#.##.####..#..#.#.##....######..##..##..#####.....##..#####.###.#..##.######.....#.####.#..###.##.####.##.#.##.#...####...###.##....#.###.#.###.##.##.##.####....#.##...##..##.#....#.#.##....##..##..##.##....##...##.#.#.#..#....###.#.#...##.##..##.#.##.#.##....#.#####.##.#.##.......#.###..##..###.##.....#.####.########....##....##...##.###.#.#..#.###.....##.##.##...####..##..#.##.##.#######.#..##..#.##.#.##.#....#####.##.....###.###.#
#.....######.##.###..#.##...#####.##.##.#.##########.##..#####.##.#.##...#.##.##......##..#.####.##..######.##.#.####.#.##.#.###.##.#..#.#.#.##.#.#.########..##..#.######..###.#..####.######.#.##.#.##.##.#.#.#.....##########.#..#...#####.##.#.##.####..#..###.....#.###.###.##..####.#######.......####.##.#.#..#..#..##.###..#...###...##.###..##.#.#.##.###.##..##........##.......#.........##..#.####...###..#.####..#.##.##.#.#...##..##.#.##..##.#####.####.#....###...##.#..##........#####.#.#######..#.....#######...#####.##.##.#...#####.##.#.##.##.####..#....###########.#.##..#.##...#...#####.#..##..#.##.......#.#.#..#.##.##.##.####.#.#....####.##....#.#..#.#..##.#.#####.#.####.###.##.###.##.#.#####.###.#..##..#####.##.#.##.....##.##.###.......#.##..#.###...##...#####....##...#..#.##.#######.#.#.##..###...####.##.#.#....##.#.####.####.####.##....#.#.##.#.####.####..######.##..##..####.#..##.#..##...#.###.####....#..##.###..##.##.#####.......#
#####.##........#.##......###.#.#.##.##.#.##...#...#..##.....#.........#......#######..##...#.##....###.#.#.##.######........##..##.#.##.....##.#....##.#####..##...#....##.#.#.#.##.#...#.##.....#...#..##.....#####.#.#.#...#####.##.##..#..##.#.##..##..##.##.#####.......#.#..##...####.###...#####.#..#.#....##.##.##.#...###...###.##.##....#####......#.#.#####..########.#####.#.########.#####.#.#..###..#..####.##.#####.##.#.##.##..##.......#####.....####.####.#.###.##.#.##..####.#.##....#..##..###.#.###...#..###.##.#.#.....#.###.#.###..#.#....##..#.##.####...##.##.....#..##...####.#.#####.#...####.#..#######.#.#.##.........##..##....####.#.#.....#.##...##.#.###....###..#.#....#.#.##..#...#.#.#.#.......#.##..##.....####.##.#.#.....#...##.###.####..##.#.###..###..######.#####.##.#.#...#...##......##.#.##.##.##.##.#.##.####...###..#.##.#.#...##.#.#...##.#.#.#.....##.#.##....##.##.##.#....##....#####.#.##.....###.##.##......###.#..#...#.#####.#
#...#..#.###.##....#.#.##..##.....##....#.####.###.##.######...##.########.##..##...##.####.#.#####.##....#.##.##.....##.#.#####.#..#.#####.###.###.##........##..#...##.##.......#..#.###..##.##.###.##..#####.#.........#.#..###......##.##.#.......####.#...#.#.#########...#.#####.#.#....###.#.......#######....#.......###.###..##.##..####..#.#..##.#...#.##.#..##....##...##.#.#.##....##...##......##.#.##.##.#...###.....#..#.##..##.#####.##..##...#.#.#.....###.#.#.#....#.#####....#..####...####..##.#...###.#.##...##.#.#####...##..#.#.##...####..#.##.#..##...####..#####.##.#..###.#.....##...###...##...##.##.#......#####.####.#..#####.##..#...#######..###.##.#...####.#.##...####.#.#..##.###.....#.#######...###..##.##.#.##..#.#######.#.#######..#.#..###.#.#...##.#.##.......##....#.#.#.###.#.##.####.#..........##.##.#.##....###.#.##...##.#.###....#####.##.#.#.#.#####.....####....##..#.####..##.####....#.##.######...#..##.#####.#.#.##.#####.##..#
#.#...####.#####.#.#.#####.##.#.#..####.#.#.#..#.#....#.##...######.###.####..#####.....##....#.#.#.#####.......####.###.###.##..#.##..#.#..#.#.###..########..########...#######.##.#.##..###.#...##..#.##.###.########.#####...##.#.#.....#...####.##.#....#........##...###.#..##.....###.##.#######.#..##.##..##.###.###.......#.##...##.#.###.#.##.#..###.#..#.##.#####....####.#########....#....##.#.#.....#.#..###..######...##.##.##...#######.#####.#.#######.#.......####.#..###..####.##.###.###.##.##.#######....###.##...##....#.###.#.#.##.#...###.#.##.##..###..##..##.#.#.#..#.##.#.##.#######.#####..#.#.#..##.##.#####..####..#.##.#.#....##.#.###..##...##.#.##.#.###.##.#.###.##.#....#.##....#.#####.#.###.###..##.######.#.##.######.##..#..#.##.##...##.##....###.#..#..#######..###.##.#.#.....#######.#.#######.####..##....#.#####..#..#.#.#....###.######....#.......#.#.###.###....##.#..##..####.......####.#.##..#.#.###.#.##...###..........#.#..###.#
#####..##.....####.#######.#######.##.....#.##.#.####.#..######.##........###.##.#####.##..##........#.######.#..#.###.#.##..###.#.#..##.##.#.#.#...##.##.#.#.##.###..###.#.#.#.........##...#####.###.#.##.#...##.###....##.###..######.##...###.....#.#############..###.##..#.#######.#.......##.#.#.##.....##.#...#######.#.##.#..###..#.#.#.#.#.#####.###.#.##.##..##...##..##...#..##....##.####..###.####.##.#.##...##......#..#.##..##.##..##.#.#.###.####........#.#.#....#.##.#...##....#..#.#.#.#.##..#..##.#.##.#..##.####..######.#.......######.#.#.#.##..##..###..##.#..#.....##....#.#...#.#.#......##.#.####.##.#...#..##..####...##...####..#....##.#####............#..##.#.#....#.####.#..####.#...##....#...##..##....##.#.#.##.#.##....##...##.##..###.#...##.###...##...##.#.#.#.##...##.#.#.######.##......##.#....#.##.##.##...#.#.##...####.##.###.#..##..#.##.#.##.##......##.####.###....###.##..#.#####.#.......#.##.#.##..#..##.##.####.#######.##..##.#
##.###..###.###.....##.##...##.#......###.#.#....####...##.##....####.###.........##......####.#####.#....######...###......##.......##.......#.###.##.##......#..#..###......####.##.#.##.###.........#.##.###..#.#.####......##.###..########...#.#...##.##...#####.##.#.#..##.#.##.#..#######.##.#.########..#####.#.#..######..##.##..##.....#.#.#...###.........##.########..###.#.##..#######.##.##.........#.#..###..#.#######.#.##.##...##..#.......####...#.#.#.######.##......#.#######.##.#.#.....###.#.##.....####.....####..###.....#####..##.##..........####.#.##..#.##.####.###.####...###.#.##.###.##....##..##.###.#.##..##..###.##.###..##.##.#.##..##.##.##.#.#.##.#.##..#.####.#.##.#.#.##..#.#.#######...#..##.###.###....#.#.....####.###.##.....####.##.##....##.##..#.##........###.##...#.#.###...####.###..##.###....######.##.#.##.###.#...#.##....##..####..#######.######.....#######.##....##.#..#..#.#.##.##.........##...##...#..#.#...####..##.###.#
#......##.#...####.##.....#.#..##.#.#.###.#.####.#..###.#...###.##..###.##.#.###.##..###.#######.....####....#####.#.###.#.##..##.##..#####.#.#.#.#.##..######.##.##..#..####..########....#.######.##.#.#...###.....#.#####.#.#....##......###.######.###..##.##.....#..#.##.##.#.#..##..#.......#.#..#.##.#..###......##.#.#.#..##...#.#######...#.#.##########.##.##..#.##.##.###..#..##.#...##..##..#######.###.#.##.#.####.#.#...#.##..###.###...##.#.###.#####.#.###......###.#.#.####.##....#.....###..##.#..####.##..##.#.##.###.#.##.#.##..#..##.....##.#####...##.#.###.#.##......##.....###...#.#..###...###.#.###......#.#..##..##..##.#..##..##...#.####.###....####.#.#.....##.#.###..#.#....#..##.#.#.###...###.##....#.....##.#...##.##.#.........##.#####......##.##.##.##.####..#.#.##......###...#...#.#..##....##....######..##.##..#.#.##.....###.#..##.####.##.###..#.###..#..#.##.######......####.#....##.############.#.#.#.####.####...##.#.###..#.##...#..#
######....#.###..#..##.##.####.########...#.#.#..##...#.##.##....##.##...###.#......###..#.##.######.##.####..##.#.#.#...###########.##.#.#.###.#.#.###.#.......#.###.####.###.#.##..#..##.#...##.###..#.#.###.###.#...#.#.#.####.#.######.##.####.##..#.#.##...#####.##.#.#...#.#.##..##.#######.....##.#....##.######....#.#...#####....##.#...#...#.#.#.##.###.######.#.......#.##.#.#######.#..########......##.#.#....#.#..#.###.#....##....####.#..####..##.############.##.#####.##.#..####.#######.#.###.#.##.....##.####.##..#..#.#..#####.##.####.#.#..##.##.####.......#..######..##.#####..#.#.#.######...#.#...######.#.#.##..####.#..##..##.#..#....##..#.######.####.#####..#.#.#.##.#.####...##..#.#.#.###..########.#.##########.....###########.....##.###.#######..##.#.....######.##.###.##.#.###.######....##..###.##.##.##..#.#..##.#.##.##.####.#.###..#.#.##..###.#.#.##...##.##.#..#.#####.##..#.####.##.#..##.###.##.#######.....##..###..#.#.##.#..###.#.##
#...#####...#.##...#####...##..#.#.#.####...#.#.#####.#..#.#####.#..#..############.#.#.##.....#.##......####......#.###..#.###..#....#.#...##..#...#.#.#####.#.......#.#.........##...######.###.####.#.#.#.#.#######........#####...#.##.....#.#..##.#.#..##.###.#.......###.#.#..##.#..####....#.#.##.####.##.#..#.####...###...######..#.#######.#.#.#.#......#.#.#..#######.#.#..#.#.##.#..##....###.####.#..#.#.####.#.##...#.#.####....#.##..####..#.##.#..#.#.##.##.#..##.##.#.....#.##.##.#.##.............####.##..#.#..###...##.#####..#.......########........#######.#.##.#.#..###.#.#.####.#.#.##..####.####.##..###...#.#..##.##.##.##.###.##.####.###...#.#.#...##########.#.#.#.#....#.####..##.#.#.#.#.#.##.##..#....##..#.##.###.########...###.##.....##..#...###.##...#.###.#.#######.#.#......#....#.####.###...#..#.#..###...#.###.#.##.#####.#.#.##..##....#.##.#.#...###.###.##.#.##.##.#...##...#.#.......###.#.#..#..#.#.######..##..##.##....#.#.##...#..#
###....####...####.##.####..##...#.#.#.####.#.#..##.#.##......#..##.##..##.##.......#.########.#....####...#######.#.##..##...##.##.#...###..##.#.###...####..##.##.#...########.#####....##....#.#........#.#.#..#.###.#####..#..###.#.####.#...##.##.#.##..#.#.#.#####.#..##.#.#.##..#.##..##.#####.##.#.##..#.##.#......######.##.###..##.##.#.#..#.#.#.######...#...##...#.#...##.#.#.##.##.###.###...##.####.#.#.#.#....####.......##.#######.##..##.#.#..##.#...........##.......#.#...........####.#.#.##.####.#...##.#.##.#.###.#...##.##...##.##.##.#.#...###.####............#.##.#.....#..##..#....##..##...#.#..#.##.###...##.##.#..##....##...#.#.....#..#.#...###.#..##........#.#.####.#..####.##.#.#.#.#.#.#...##.##.#..#.##..#.#.#..##.#..###..#########.##.##.###......#####.#.#.#.#.##......######.####.######.###.##.#.#.##...#.#.#..........#.#.#.#..##.#####.#.##...###..##.....##....#.#....######.#.#.########..#.##...##.#..##.###..##.##....####...####...##
#.####....###..###.##.#.###.####.....#........#.##....###.###.##.#...##.##..#.#######.##..#.#....#########.#.........###..##.##..######.....###...#.###.#..#####..#####..#.#......##...########.#.####.###.#.#.##.#...#####.##.#.##...#.#.####.#..#.#.....##.#.#.....######.........##....##.#..##.#..#..#.#..##.##.###.##.#.#.#.....#.##.##.##.#.##...#.#.#......#...#..###...##.##.......#..#.#....####.#...##....#.#.###.##.#######.##...##.##...##......#.##..####.#.#.#.##..####.###########.##..#.#.######.###..##.##..#.#..#.#.#.###.....##.#####...#.#.#####.....####.########.#.#..#.#.###.####.#.####..##..###.##.#.#..##..###...#.##..#.##.##.###.#.###.#.######.#.#.##.#######.#...#.##.#...##.....#.#.#.#.#.#.#.###..#####....##.#.#.#.##..#.##.##.#.#..........##.#.######.##.##.#.#........####.##..##...##.#..##..##..#.......#####.#.#.#.#.##.#.#.....#.##...###..#.####.##..##..#.#..####.#.#.#.####..#.#...#.##.#.##....###..#.#.##..#.##.##....##.#..#.###.####..#
#.#.#####..##.##...##.#.#.#....##.##...#.##.#...#####.#.###........####.##.#########..###.....##.#...........#.#####.....##...##.#..#######.#...#....##.#.##.#.#####.###.#.###.##.####...#.###..#.#....##.......#.##.####...##....###.....#.#..##.....##.##....#####.#.############.####.###.####..##.##.#.##.##.##..##.##...#.#####......##.##.#..###.#.#.######.##.#####.###.#...#######.#.##.###.##.#..##.###.##.....#.#.#..#.......#..####.###.#######.##..##.#.#..#.#.#.######...##...........##...###..#.#.#.##.....##.#...##.#.#.#.#####.#####.#..#.#.#..#####.####.####.##..##.#.#.####.#.#.##......#.#.##..##.#.##...##.#..##.###...#..####..##.########....##.....#...##.#.##.#####.##..#.###..#.#.#.#.#.#.#.....#.#.##.#.####.###.........##.#.#..#....#######.##.##.#.#.#.#.....##...#######.###.#.##.##..####.##.###..##.####.####.##..#...#.#.##########.#..#.###.##....##.....####.#######.#...###.##.##.#.###.#..#....###.##...##....##.#.#...#.##.####.##.##..#.##.##
#...#.####.......#..#.#.#.####..#####.#########.#.###.#.##########.##.#.##.#.#.....##..##.##.#######.###.#.#.#.#.....###.##.###....##.###.....#.####....#.##.#.##.#....#.......#...#...###.#.##...############.##....##.###.####.##...###...##.#..##.##.....##.#.#...#.#.#.##.#.##...##..##..#####.....#.#.#......##.####..#....##...#.##..#.##.#.##...#.#..##.#####...##......###.##.#.##.#.##.#.#.#..##....#.########.#.#.##.#######.##.##.#..##.#.###....##.##.#.##.###.###.##.########.#.#.##.#####.####.#...#.####.#....###.##.#...#.##.....##.#.####.#.#.##..#..##...#.##....##..#.#..##......#######.#.#.###..#....###..#.##..#..####.##...###.#.....#.#.####..#####.###.##.#.#..#.#.#.###.#..##.######.#.#...#####...#.#..#..#.#.#####.###.###....##.####......####..#..#.#...##.####..####.#.####...#..#..##..##..##..##.##...#.#...##.##.##.#######.#.##..##...##..##.#..#########..#.#..#.##...###..#..##.##.#.##....##.####....##.####.###..#.###.#.####.##.##..##.#.#..##
###......##########...#.#.#.###..#.####.##.##...#.#.#.#.#.#...........#......###.#.##.#####..#....#..##..##########.##....#.#.####..#...##.##.####.####.#......##.####.##.########.###.#.#...####.##..#.#......#####.#..##....##.#########.###.#.##...###.###......#.............###..##....##..####.#...#.#####.##.....##.####....#.#####.#.##.#.####.#.#.##..#.##..#########.#...#....#..#.##.#.#.#.######...##.........#.#..##.#.....#..#...###.#.#.###.##...#.#..########...#.#.##.#.###########.##.#.##.###.#..########.#........###.#####.##.....##.......##.##.####...##.##..##.#.#.##..##.#.#.####......#.#.##.#######.#.###.#.##.#..##.###.....#####...#.#..##.##...........##.#.#.......##....#.#.#......#####.##.##.##.#.##.#.#.######..#.####....#.##.###.##..##.##.#.###.#..##...##.......#####.##.#.####.##.####....##.#.#.#.#.#.....##.#.##.#..#.##.#####.##.##..##...##....##.#.#.##..###...##.#.###.#..#.###.#..#....##.#..#.##.....##...##.....###..#..##..#.#.##..#
#.#####.##.###......#...#.#...##.#.#.##....####.....#.#.#...#########...######.###.##.##....#####...####.###.........##.#......#.##.###.##..####.#..##..#.####.....#.#.######.####.#.#.#.#.###.#...##...######.#.#...##.####.##..#...........######.####....#########.#.########.####..#.#####.##....###....##.#.####.###..#....##.#.#.....#.##.#.#.#..#.#..##.#..##.#..##.###.###.####.##.#.##.#.#.#.##.#.#.#..#######.#.....##..#####.##.#.####..#.#..##..##.##...####..##..#...........#.##...#.#.#.....#..##.#.##.##.....##.#.###..##.#.#...#####.#####.#.#.##.##..##..#.######......#.#..#####.#.#..###.##...#......##....#.#.#.#.##.##....#.#####...#.###...##..#..#######.#.#......######.#####.##.#.####.#..##....#.##.##.#.##.....#.##.##.....#####....###...##.##..##.#..##.##.####..#####.###.##.........##.#...##..#.#####.#...####.#.###......##...##.#.#...##..##.#..#######........##.##...####.#.#.#.#.##..#####...####..##....###.#.##.#.###.####.#.##.##..##.#.#..##
#.#.##..##.....####.#.#.....###..#.#..####.#.#..###.#.#.##.###.##.....#.##.##.........#######.#.#.#.##...#.####.#.########.#.#......##...######..##.###.######.###.#.#...#.....#............##.###..##.##.#.##.#...#....#.##.###.####.##.#.#..#.#.###.#..#.##.###.#...#.#....##..#.#..##.#.##...###########....#.#.##...##.####.##.#######...##...#.##.#.##.##.##......##..........###.......##............####.#.##.#######.####.#.#......#.##.##.#.#.####.#...###..#.#.##..###.##.##.#.##....#...#.#####.##......##..####.#######...##..#.###.#.###.#.#...###.#..###.##.####.#....##.#...##.....###.##.#...#..#...###.###.##.#.#.#....#..####...##..##.##..#..#....##.###......#.####.###.......##......#.#.#####..####...##.##....###.###.#...#.#####.####.#..####.#...##.#..##..#.##..##..###.....##..######.##.##.#.#######...##..###.##.#.####..#########.##.#.###.#..##....##..##.####.######.###.##.#..........###.#.#.#.#######..###.##.#.####.###.#..#.........##..#.#.##..#
#.#.###.#..#.###....####.##.#.##.....##.##.....##.....#.#####..##.###.####.###.####.#..##..#..#.##########...#######.#.#.#.#.#.########.##..#.##.#..#.#.##...###.#.#.###.#####.##########.####.#...##..##.#..#.##.#####.#.........#.######.##...#..#..##.#.#........#.######.###.#.##.##.#.####...#.##...#####......##.###########.###.....#..###...........##..#####.############...####.##.#..#.######.#..#......#.#..###...........####.#.##.#....#.####.###..#..##....####.#########..######.#.........#######.##.##.##.#.##.####..##.#.#.........#.#####...##..#..#....##...##.#####.##..######..##.######.###..####...#......####...##.#..#####.##..##.#.##.##.##.#.#####.##.##.#...###.#.#..##.#.#...#..##...##.##.###...###.##.....#.###.#....##.#.#####.#.#....####.##....##.#..####.#.##.##..##.#..#.#.##.##.#.#.##.##.###..###..##...##.#.####..#.#..##.#.##..#.######....##..###...#.##..#.#....##.####.##.#.#.#.#.#.###..#####.#.##....##...##.##...#########..##.#.##.##
#.........############.###.....###.#..#....#.#..#####.#.#.#.##..###....##....#.#.####.####.##....#.#.##.###.##.#...........#.#.##.##.#...##.#.#..##.#.#..###.##......##...###......####....##..###.###.##.##.#..###.#.#.##.#.#.##....##.#######.##.##.##.##########.###..................#..#.###....###...#######.##....###.....###.########.#.#.######.##.###...#.....#.##.......#.######....#####.....##.#####.##.#.##.#.#.####.#.##......##...##.#..##......##.####.###.#..###.##....##.##############.#..###.....#..##.#..#..###.###.#.#####.###...##.####.###.##.##.######.####.#.#.###.##.#.#.###.#..#.####..##.########.##..#.###..#.##...##...##..#.#######.##.#.###.######....#########.#########...##..#..#.#..#.#.#####.###.####.......#.###.#..####.#.####..##..#..#####.#.##.##.#..####.##..##.#.###...#.#.#..#.##.#.##.#.##.##.#..#.#.##.##...##.##.#..##.....##.#.######.#.###.#..##...####..###.##..###.#.#.#.#.....##.##....###.###..#.#...###..####.##..###.#.##..#
###.#.#.#.##............#..#.#...#.##...#.##.#.##.##.........##..#####..###.####.#.#..##.#..####.#.#..#........#####.#.##.####.....#.##.##..#.#.##..#.#.##....#.####.####...##.#.#....####..##.#.#.#.#.##....##.##......##########.#..#.#.##..........#####..........##.#########.##.###...##..#####.###.#...###.#..####.#.#.#.#..#...#...#...#.####..#####.#.###.#####.#.######.###........####.#.#####.##.##.......#.#..#######..#..##.#.#..##.#####.########.##..##..#.#.##.#...#####.##....##.##.#...#.##.#.##.##.##.##.##.#.##....#..#...######..###..#.#...#...#.#...##.####.#.......##..#.#...#.#.#.##..#...##.....##..#####.#.#.##...##.###..#.##.##..##.#......#.#.#.###.#..##.....##.....#..##.####..#####.#.##......##...#.#.#..######.####.#.#.##.#......###.###.#.#####..#.#..#..##..#....##.##....####.....#.##.##.#..#.#.##.#####.#.#..#.##.###...#.#.##..###.#.......##..#.#...#.####.##..##.##.....###..#.#.#...#####..#####..##.###.#####.####.##.....##.##..#.##.##
#...###.#..##.#.#######...######.#.####.#.######.....##.##.###..##.....##....##..#.##.##.#.##......##.###.####.......#..###.###.##...##..##.#....##.#.#..####.####.#.#..###..########.#.##.##..#...#.#.####.##...######.#.#..##....##........########..##.##.#.#.##.#######.......#..#...#####..##.#.#.#####.....#.##..#.#.######.###.###.###.#.##.##.#.##..#.##...###......##.############.#.......##.###.....#####.#.##.##......##.##..####.....#.#...#.#.###..#.####.#.#.#..###.#.#.#.###.#.#.......#........#####.....#.##.#.#####.##...###.##...##.##...###.###.#...####.#.##.#######..##...#.###......##.###.###.######.#.......#.####.##.#.####.##..##..#.####.#.#.#.#...#.#####.##########.#.##..#.###..#......##.#########.#.#.#.###.......##.#......#####.##.#.#.#.#.##..##...#.##.####.####..#.####.##..###.###.......#.##.#.#...##.......##..#.#.###...#.###.#.######.######.#.###....#.#..##.....####.##...##.#.###...#.##.#.....##..#.#...##..##.#....##.##...##.#.##.##
##.##...##.#######......###.#.##.###.##.###...###########......#####.#..###.####....#.##.#.#######.##.#####....#.#.#.#.##.....#####.###.##..###.###.#.#.##.#...#.#.#.#.##...###.#........#..##.###......#.#..###.#.#........########..##.###.#...#....###..##########..##.###.#.#.######.#.#.#.##......###...###.#.###......##....##..###.#......#.#.....##.#.###.##.##.###.##.##...####.####.##.##.#....###.#.#........#.#..#.##.##..#.##....##.##.##.##.#.#.#.##...##.....##.#.......#..####.###.#.#.#.####.#...#.#####....#.#.#..##.####.##...###.##..###..##.##..#.#..#.#.#........####....###.####.#####............##.#.###.#.#...#.#..##.#.#.#...#.####...##.###.......###.###.#..##...#.#....###.....##.######..#.#.##.#.#..........#####.###..######.##.......#.#.#.#.##.#####......#.#...###.##.#..#..##.......##.####.#.##.#.###..###.#######.#.....#.#....##.#..##.#.....##..#...###.##.#.######.##....##.###........###.##...###..##.#.#.#####.##...#########.##..#.#...#
#...########.#.#.##.#.#####.#.....#..####...#....#..##....####.##.#####..#....#####.#.#..#..##..............#################.##.#..#.#..##.#...##..#.#.##.###.#........###..#..########.##..#...######...#.##...#.########.#.#.#.#########..###.####.#.#.##....#..##.##....#.#.###.##.....#.#..####.###.#######...#.###.########.###.#.#...####.#.#####.##.#.#.#.......##..##..###.......#########.##.###.######.##.#.##.######...########.#.#..##.##.##.#.#....##.#######.##.#######...##.#......########...###.#.##..####.#.....##...##...###..##.##.##.##....##.####.##.#.#.######......##..##...##....######.####.###..#.#...###.#.....###.#.#.###....#.#.###...#######.##.#.#...#.##..#.....#.##.####.##.....####.#....#.#.#####.####..##.......###.#.#..#.#.###...#.#.#..#.#..###.#####.##.##....#.##...#######.#######......#.#.#...##.......#.#...#.########.##...##....##.####...#####.##.#.####.#..####..#.#.####.###.#.#.######...###.#.#..##......#####..##.#.###.....###
##.##.....##......#.####......#.#.##....########.##.#####.###.....#.#.##...####.......##...####.#####.#.#.#####.#.#.#.#..#....##.##.....##..###..##.#.#.##.#.#.#####.####.##.##.#.....#..###.#.####.###.###..###...#.###....#.#.#.#.##.##.####.#.#.#..#.#..####.#.##...##.#...####.....###.#.#.##.....##..#.##.##.##.#...##.#.#.......#.#####..........#.#......###########.##.#########.##.##.##...##..##.##.#...#..#..#.###..###.##.##.##.####.##.##.##.#.###.##...#.#...........###.#.##...###.##......###.#........####....###..#.#..##.##.#.##...#.#...##.#.....##..##.#.#.#...##.#.#.####..#.###..####.##.####.#..###.#...########.##...#.#.#..###.###.....###...##.......#.###...######.#.##..#.#.....###.#...##.#.####.#.##.......#######.###.#.....#.######...#.......##.#.##.....#.#.......##....###.##........#.#.###.##.#...###.####.#####.#.######.##.....##.######..########..##...#.....##..#.##.###......##....###.#...#..###.##......########.......##.....##.##.##.#
#########.#######...#....#.##.#.#....####.##.#.......##.#.#...###.#.#.####.#..#######.####.#.################.....#.#.##...##.....#####.###.##..##..#...##.#.#.##....#.#...#.##.#####.##.#......##..#.#..#..##.###...#.####.....#.#.#...#.#.#......##...#.###.#...####.######.#....##.####.....##.###..##.#.##.##..#.###.#..#.#######.#.#..###########...##.#####.##...##...##.##..#..##.##.#...###.###.##.#..#.#######...#.#.##.#.#...#..####....#.##.##..........#...###########.#.###.######.###..#.##.....##.#.#.#..#.###.##...#####.##.##.#..###.#.#.########.#####.##.#.#####..#######..##.#.#...##..#.##.##.#.#.##...#.###....#.######.#.#.##..##..####.###.#.#.#####.##...#.#.#..#..######..##.###.########.##..#.#.#..#..####.####..#....#.#######.#..####..#.##.####..#....###.#...##########.#.###...######.###.#.######.#.###.#..##..#.###.#.###..#.####.####.#.#..##..####..##..###.#.#####..##.##.#.####.#####.####..#.###.##...###.##.##.#.##...#.#.####.###..####....#
#.#..#.#..........#####.##..########.#.#..##.#####.###..#.##.##.......#.#..#.##..........#.#..##......##.##.##.##......#######.##........##..##..##.###.##.....#####...###...##.##.#.......##.#.###.#.##...##....###...##.#####.....###.#.#.######.#..#.#.##..###....#..##.##.######..#....###..######..........##...##..#.##.#.##....#...##..##.##.#..#.....#.#..###.#####....###.#.##...#.##.##.#.#.#.##...######.#.##.##.#.##.#####...##..####....#.#######.##.###.###..........#..#..#.##...#############..########.#..#######.#.#...##.#..#.##.#......####.##.###.#.##.#.##..#.###.#.###....#...#..##.#.#.........####.######.#...##.......#..##.#..##..#.#.#.###..#.####..#...#.##.#.##.#.###.##.##...##.#..#..##...#.##.#.##.##.##.##.##.#....##.#.#.#.##.#..########...##.####.#####..##..#.#.#.###.##.##.#......#.#.#.##.....#.#.##..##.....#.....##.#.......##..#.##.###..##..##..##.....##..##.#.......###..#####..#.##.#.#.#.##.#...###.....#.####.######.#####.##....##.#
#.##...#####.########...##.###.#.#.....##.#.....#...###.##########.##.#.##.#.###########.#...##..###.##.....#..#..#.##..###.######.#####.##.####.#...##..#####.#.#.###.#####.##.#....#.#.#.#..#.......#..#######...###.##.#..######.#.#..............##...##.##.#.##...##...###.##...##.##.#...##......###.#.##..###.###....#.#.#####.###.#..##.....#####.##.#.#.##....##...##........###.#.#..#.........###.#.#.........##.#....##..###..##.#....#.##.#.##.##.#...####.####.##.##.##.##.#.####.#.#.#.#.##..####..#.##....##.##.#....###.##.##...##.###.##..##.................##.#.##..#..#####...#.#.##..#.####.####..##...##.##.###..######.##.##..##.###...#.#..###.#.#....####....###.#...........##.###..##.##.####.#.##.#.##.#...#.#..####.#####.#.#.#..#.#######.#.###.##..#.#.##.##.####.#.#....##.#...#.#####.##......##.##.#.#.###..##.####.#.####.#######..##.#.##.#.#.##..####..###.###..##..#.#####.#...##.##..##..#.......######..##.#####..##...#.#.#..##....####.####
#..###...##..##.....###..###.......#.#....#####.##.##...##..#.##...#....#.......#..........#####.#...######.###########.....#.#..#.##........#.....#.###.#.#.......#.#...#...##.######.######.#######...##.##..##.##....#.##..##.#......#.#.#.#.#.##.##.#....##.######..###.##..##############..###.##...#######.##..#.####.#.....#...#.#.##....###....####..#.#..###.###############..##.#.##.#.##.##.####....#########.##.##.#####.#.#.###...####.##.#.##..####.##.##.#..######......#........#.......#..######....####.#..##.####.#.......#.#..#.#####..####.##.#######.#####....###.##.#.###.###.#####.#.#..#.##.#.#####.#..####.##.#.#.##.##....###...###.#.#.##...#.##########.#..#....##.##.##.###.#.#.###.##......#.##.#.##...###.##.#.#..##.#..#.....##..##.#.....##...##.#...##....##.#.#.####..#.##.##........##.#.#.####.......##.##...#.#.###.#..##.#..##.##.#.##.....#..##.#..##.#...##....####.##..###.##..##..##.##.######.#.###.##.##..##..##.##...##.###.###....#.##
#.####.#.#########.##############.##.####...##........#..##.#.#######.#...#.###.####.#.###.##..#####....#.#..#####.#.######.#.##.###########.###.#####.#.#.#######.#.###.###............##..###########.##..##.#..#####.#.###..#.################.#..#######.##.##.####.#.#..##.#..##.##.......##.#..##.##..#.....##.#.##.#.#.###.###.#.#.####.######.##.###.....##...#.##.......##.##.......#....###.....##.#.#.#.#.##...#.#....##......#.#####.#...#.#.##.##............###.##..####...######.#######...##...###.#........###.###..####.##.####.#.#..###..#.########..##..##.####.#.#............#####...#...##.#....#.##..#.##.#...#.#.#..#..##.#...###.#........###.#..####.#.#####.######...####.#.#.#...#.#.######.##.##.#..##.###...#.#.##.#..##...##.####..#.#####.###.##....#######.##.#.#.##.##.#..#..####.###....#####..##.#.#.###.###.##.....#.##..#.#.##..##.#.######.#.##..##....#.#######.#.#..###.##.....####..#.##.....##.#.....#...##....###..#.###...##...####....#
#.##.###..##..#.##..#.##.#.#.......#####..#..#.######.##..#.#.#..##.#######.###.#.######.#..#.##..#..##.....##.#.#................#.#.##.#.#..##...##..#.#.#..#.#..#.##...############.####..##.........##.##....##.#...#.#.##.......#.#.#.#.#..######....................#.##..##.##..#######.#....#######.#####.##.#.##.#.###.......#.#.#..#.#...##.#..#.#.########.#..#####.#....########...#.###..#.###..#..........#...#.########.#....#.#....#...#.##..##.#.#######.##...####....#.#..##.....######..##.##...###.####.#.#.#.##...#####..##..#...##.##.#..#.###.#.##..##....##...#.#.##.###.#####.###.###..######.#.###.#.#..###...#.##...######.##...#####.#####..#.##....#.#.##.....###.###....#.#.###...#.#.##......##.#.##..#...###....#.#.#####.####.#..##.##.#......##.####..#.##.##.#...##....##...##..########..#.##.###.######..#.#..##.####..##...#..##.##...#..##..#..##..###.##.##.#..#.#.##.....###.#####...##.#..##.##..#####...#.#####.##..##..###.##..####...####
#.##.####..##.#.###.#.#..#.###.#.#####.#####.####...#####.#.#.##.##.##.######.#.#.#.#.#....##..##.#.####.##......###########.####...#......##.####.###.#.#.##...##.#.#..###.###........##.##....##.#.##..#..####..#.###...#.########.#.#.......###..##.#############.##.#...###.#.....##.....#.####.#.#####....#.......##....#..#####.......######..#.##...#.####..#..##.#..#######....#.....#####.####..############.#.###.#.##.....######.....######.#..#.#####......######.##....#.#####....###....#.##.##.######...#.............#..##.##.###...###.....##...#.#.#....######.####.########...#.#.#.#.#.####..##.#....#.#.#.##..####.#..###..#.###.####...........##.#.##.##......####.##.###.####.........#.....######.###.#..##.###..####.##.#.##....#.##.##..#....######.##....##.#.#..##.#.#######....###..###.......##..#.##...#.#.##.#.#.##..#.###..###.#.##...##.##.####...###.##.#.##....##......#####..##...#.###.##.#.#######.##.###.####.#.#.###.#..##....##.#.#..#..#.#
#..#.#.##.##.....##.#.##...#...#####..........#.###..#.#.......#.##.##....##..#.#.#.#.####.###..#.###.#####.#.##.##.##....####..###...#.##..........##.#.#.####.#....##..#..#.####.###.#..#..#.#########.#.##.##.##.#.###.#...#.###..#.#######...##.##.##........##########.#.#.#####..#.###....#####.#.##..##.#######.#####.#.########.###..###.##....###...#..##.#.##....##.#.######.#########.....##.##.#####.#.########.#..#.#.###..#...#######.##.##....#.#..######.#.#...###.####.#...#.####.##...#.....#.#.####.#.##.#.#.##.#.##.........##.##.#####..###.#...##.#..##.....#.#.##.##.###.##...#.#.#.#..##.##.##.#.#........##.##.##...#.##..#...#.##.####.###.##....#######.######..#.##..#.#######.#######.##........#.##.#..#.##..##...#.#.#####.#.#...##.####........#..####....#.##......##.##.##..##.##.######.####.#..###...#.##.#.#..##...#.##..##.#....###..##.#.##.###.#.##.#.##.#######.##..#####.##.###.##..#....##.#.##.#.......###......#....#####.###.#.####.##.#
##.....##..###.###..#.####...#####.##########.....##.#.##.#.##.......####.###.....#.#.......###....#...##...###...#.#####.#.#..##.##.#############.##..#.#..#.#.####.###.##.#...#########.##.####.#.##.....##.#...#.#.#.#.###.#...##.#.#.#..###.##..############...##..#.........##.##.###.####....##.#.#..##...##..#...##.#.####.....####..##...####.##.###...###.#.#####.##.............#.##.#####.....#.#.#.....#.#.##.#.#.##.######.###.#..........#..#.##.#.##....#.#...#########..#####.##.#.##.#...###.#.#.#.##.###############..######.###.##..##...###..###.####.#######.#.#.##.##.#...##.###.#.#.##....##.####.########.#..#..##.#....##.##.##.#####...#....##.###..#.#...##..##...###...#..##.#####.#....#####.##.#.##.##.#..##.##.###.#..##...#.#.###....#########...###.####....####.#.##.######.##.##..#......#.#.#.##.###.#.##...##....#.#..##....####.....##..#.#..#.#.#.##...##...##.#...#.##.....#..##...##...#####...##.######.##.###.##...##.#..#..#.#.#..##.....#
######.##.##.#...##....#.##.####.......#.###..#.#.........#.#..#.#.#.#.....######.#.######.##.#.####.########...#....#.#....##....#######.###.......##...##.#.#..###...#.##.#.###.##.##....#####.......#.#....###.......#.#.#.###....#.#.#.##.#.##.##.##.......###.###.##.#.#.#.##......#..#.###.#........#####.###.##.###.#.##...##.###.##.###.##.#..#..#.#.###.#.#.#.##...##.#.##.#####...#...#....###.....#####...#.#.......#..##.#..##############.##.####.#.#..#.##.###..##.##.#..########....#..###.#..........####.##.##.....######.....##...#.#####.#.##...#.#.##.#.##.##.....##.##.#.#..#..#..#.#....##..#.#.#..##...###.##.##.#######.#..#...#..##.#####.##..#.#.##.#.###.##.#####..####...##...##.#.##.#...#####............##......##.#.#####.#.#.#...####.#.#.#.#.###...#..##.###..###.##..##.....#..##.#####.##.#.#..#.##..#.####.##.######.####.#..#.#####..##...##.#.#....###..#.###..##.##..#####.#.##..#####.##...##.##..##.....##.######.#######...##.#.#.##..##.##
##.##..........#####.#....####.##.##.#...#.############.#.###.######.#####....#.....##.##.....#.#.##.#.#.#..########.#.##.#.###.#..##.#.#...#######..##.##..#...##.###.#....#..##.#...####.##..##############.#.####.##.#.#...#.####.....#.##.#..#.....#.#####.#.#.#.#.####.###..######.##.#...#######.####......#.....##.....######.##......##..#.##.##.#.#.#.#.#......##.###.#######..###.###.###########.##.#...#...##.###.##.##....##.##.#.###.#.......##..#...####..#.##.##.##.##.##....#..########..#.#.######..##......##.##....#.#####.####.#..##.#.#.####.#.#.#....##..#.###.##.#..####.#.##.##.#######.##.....#####............##..##.##.##.##.###.#.....###.#.#.#....#.#.##.##.#..##....#..##.##....######...##..###.######.#####.#.##....##.#.#...###..##..........#.##.##.##......##...#..#######.#.##...###...#.#.##...###.#..#.#......#.##..#.####...###...###.#.##...#.#.##.##.#...##.....####.###...###...##...##.##...##.###.##.##...##.#.#.#.#.##.##......###..#..#
#..#..##.####.##.#######.##.....########....##.#.#.##...#.##..#.......#..####...###....###.##.#.#.#....#.#.##.#..#.....####.#.####....#.#.####.##.#.##...##.#.#.#........##...##..##.##.#...##...#.#.##.#.#.....#.##.##.....#....#.#####.#.##.##...#######.##............####...####.#.......#..#.#.####.#######...##.##..###.#.##....######..##....#.#..#.#.......###.##..#.#####.#.##.....#...###............#######..###....#..###.###.#..#.#.....##.#.####.##.##.###.#.....#....#...####.####.#.##.##.#####...###.#######.##..####.#.#.##..#.##...##.............#.###.###.#####.......###.#.#.#..##.##.##.#..#####.####..#.#.#####.####..#.##.#.....##..###.#.#.#.#.#.####.#.#.##..#.##.#######.##...##.#.#.#..#.##############...#.##..#####.####.#.##.##.##.##.##.#.##.##..#.##.#..#########.##..##.#.#.#..#.###.##.##...###.##.....##...######..##.#.##.##.##.###.#.#.###..#.###.....#.#.######.#..##..#...###.#.#####.###.####.#...#####..###.##.....#.#.#...##.#####.#.#####
##.########.#.##..#.##.#..###.####..#..####...........#.#.#..#####.##...##.####.#####.##.####.....##.###.#.##.##.#.#.#.#.#.....######................##.##..#.#.####.#.#.#..#..##.##.##...####.#.....##.#.#####.#.##..##.#.##.##....##.....##.####....#.#.....##.#.#.#.#..#####.##.#.######.###.....#.#...##.###.####.#######....####.#..####..####...##...##.####...#..##....##......#.###.##.##.##.#.#.###.###.##.###.#####.##.##...##..##...##.##..###..##.........##.#####.####.##.##....##...#.##.######...#.....#.#####..####....#....##....###.#####.###.####.#.##........##..#.###.#.#.#...#.###..#.#..##...##...##..##.#.#.....##.##.#.#....#####..########........##....#.##.##.#...##.##...##.#####.#.##.#.#..###..###....#...##.######..##..#.##.#..#..##########.##.##.##...####..##.#..#.##........##..##.#...##.##.#..#####..###.#..#.##.##.#.##.#..##.#.#.#....###.####..###.......##...##..##.###..##....##...#....#.....#.#.#...##...######.#.#.#.###....##..#.#.#.#
#..###..##.....##.#.#..#.##....#.##...##....######.#.####.####.##..#..#......####.....#..##.##.####...##.#.........###.....#.#..#.#####.#.#.#.####.#.#..##.####....#######.###..#.#...###..#.#######.#.....##.#.#..#########..#..##....###.##.#.##.####.################.##.#..........######.#####.#...###......##......##.####.##...##...###...###.#####..#.#....######..##########.####......#.########............#.#.###..#.####.###.####..#######...##..###.#####.....#...........####..###.#.#..#.##.###.#####.........###.####.####.#####.###...######..#....#..#.###.######.####....#.###.....##.#.##.####.#..#######..#######.........####.###.##.#..##..###.####.#####...##.##.##.##...##.##..#.##....#......##.##.#.#######.##.....##..####.#.#..##.##...#..#.#.#.##.##..#.#.##.##......##..##.#.###.##.##....###..##.#.##.#...##.....##.#..##.#.##.##.#..#.#.#.####.#..##..##...##.#.#####.###.##..###..##.######...##...##.##...###....###.##...#.#.#.#...#.####...#...#
##.#.##.#..###......##....####....###..##.#.#......#..#####.#...#####.##.#.#...######.##.#..#...##..#.##.#.#.###.#.#...##.#####.........############.#.##....#..#####.#.#######...##.##.#.##.##.#......###.##.#.#.####...###########.#####.#....#...##....####.##.#.#.##..#.########.###...##.###...###...##.###..##.###.##.###..####..#.#..###.##....#.#..#######...###..###.#.##.##.##.######.#..##.#.#..##.#.#.###.....#.##.#.#....#.#.#..##..#.##.###..#####..#.#######.######.#.##..##..##.#.#...##.#..#.###.....#.###.#.#.#.#.##.#....#.##....###....#.#.#####.#.####...##.#.####.####.#.#.#.######.#.##..##..##...#.#...##..##.##.#.####........#......##..#########..##.#.####.##....#..#....###...#####.####.###...#.#.###.#.#..#.#######.##.#...##.##.#..#.#.##...#.##.###.#.###..#######.##.#######....#..####..##.###.#.##.###..####.##..#.###.#....##.##.#.#...##.#.#.#########.############.#.###.....##....#.#..############.###.#.####....###.#.#.#...###...##.#...###
#.....#.###########.##.####..####.#.##.#..#.##.#.#.####.##..###..##.########.#....###....##.#.#####.###..###.#########..###.#.##.#########.#.#....#..#.#####.#.##.##.....####.#.####.##...##..#.###.####..........##.##.##.#.##...#####......##...#..#.####....#......#..##......#....###.##..#.###..###.##############.....#.##..####.####.#.#..####.#.##..##.#...###.##.#.#.#..#.#........#.....##..#.#################.#.#....#.##.#.#...####......#.##..##.##.#...##..#.##...#.#####..#.##....##.###.##.#.####.#.########.......#....##....####.####.###.###.........####.##.#..##..............##..#.#.#..##..####.##.#######....###########.##.###.#.#.####.##..#...##.......##..##.##.#######..####..#..#.#.#....###.#.......#.##.....#.##...#.##.##.....####.#..###.#.#..#.#...##..##.###...##..#.#.#####.#.##....##..#.#.#.#..#.#.##.##..##.#..#..####.....#...#.####.#.#..##.#.......#.#.##..#.....######.#..####.##.....##..##.####....##.####.##........############.#####
#.#.#...#.##...##.#.##.#.#..##.......#.#########.#.#.....##...##.#...##.#....####.....##.........##...##.#####.##.##.##.##.......#.............##.##.#.#.#.#.......##.#.##.#....##.#.####..##...#.#.###..########.#.....##....###.#.#.####.#..##.###...##.####.######.##..######.###.##.#.###...#.#.##...#.##...###.#...###......##.....##....##.#.#..#.##.##..###..##..#.#.#.##.#.####.###.###.#..##.......#####......#......#.#####.#.###.##.######.#.#..###......#####....##.#####.###.#.#####......#.##.....######.##.#####.###...#.#####.##....#.##..#...######.##.##....##.##....##.######.####..##.#...####.#.#..##.#.##..####..##.##...####..###.#####.....##.###.########..##.####...####.#.##.###.##.......#####..#######......##.##..##.##.#...##.#.##......##.....#.##.##.####..#.#.###..#.##.....##....#####..##.#.#.#.##.#.#.#...##....##...###.#####.#.#...##.#.#.#.##..##.###.##....##.####.##..##....###...##.#####..##..##.####.##..##...####.######..##.####...#..#
#.###.#....###...........##..#.#.###...###.#.#########.#....#..#.###......####.###.##.#..####.####..###..#.##...#.#...###..#.###.###############.........#...##.####..#..#.####.#.......##.####.#.###.##.#.....#..###.#####.#............#########.###....##...#.#....##.##.####.#.#.##.#..####......##.##..###.#...##.##...####..#####.###.#..#.#.##.#.#...##.#.##.###.....#.##.#.#.####.#.######..#######.#.#.#.#.##...#.##.#...##..#..##.#...........##.#.######...#.####.##...##..#.#...#.####.###.#.###.##.#.#.##.#..#.#.#...#######.#....####......##.###.#....#...####.##.#..##..###.........##.##.##.##.#....##.##.#..##.##.##....####.#.#..##.#..#.#####.##......#.#.#.#..###..##..###.#....##.#....#######.#...##......#..#.#.##...#.##..##.#.####.#.#######.######......##...##.##...##..##.######.##.##..#.##.##..#.#.#.##.#.#.#.#######.#..###.#.##.##.#####.##.#.#.#..##.######..##.###..###...##.#####.#.###.#...##.##.##.##..##.#..##.##.#.####...##...###..##..###.##
#...######.....#.#.####.###.##########.#.#.#.#..##.....##.####.......##.#####......#####.##......##...##...###.##.###..#..####...#...............#.#.#.#...#..####.##.##..........#######....##.#.##...#######.##.....###############.##.##.###.##.#####.#####.#.####..............#.##...##..###.##.....##..#..###.####..####...##...#.#.####.#.#.#......#....#.##..###.##.#.#....#.#.#..#.#.##.#.##.##.##...#.#####..#.#.#####.####...###.#####.#.#.#.##...#.##...###.###..#..#..##...###......###...#..#####.....#....##...#####.##.##.##.#..#...###.##..##..##.#####..##..##.##..##.########.##..#..#.##..#.##.#.....#.#.##......##.#.#.#..#.##..#.#.##.#.##..#####.#.....#.##.#.##..##..##.####..#.###.##.....#.#.#########.########..#...#..##..#.#..###..##.##...####..####..##.##...#.#.###..#...##.#.######...#...##.....#.##.#...#..##.....##..##.#.##.#...##....#.#.#...##..#.##.#.###...##...##.##...##...#..#..##.##...#.##..##.##.##.#...#.#.#....###..###.##..#.##.#..#
######.###.#.#.#####.....#...##.##.....#.#.#.##..###.#######...#####.##.#.....#.#.##......###.##....######......#.#.##.############.#.#.############.#####.##..##...#.###########..#.#..##.###....####..##.....######...##.##.#.##..####.##.#...##.#.#....#.#.....#.##############....##.##..##.########.###.##......#######.###..###.....##.#.#.#.###.#.##.##....##..#####.#.####.#.#.##.#...#.......#...###....#.#..######..........#.....##.##.#####.###.##..###..##.#.##...########...##.###.##..#...##.#.###.#...##..###..##.......#.#####.#####...##.##..######.###..##.##..##.####.#...######...##.###...##.#.#.#......######.####.#.##.#..##.#.#....#.###.#..####.###.#.##.#..#.###.##..###..##.##..######.....##.#..##..####..#######.##.###...#.####.##...##.##..##.###..##...##.####.#.##.#.###.....##....#...########.#.#..###.#.#######..##..#.#.##.###..####.....#.#####.#.#....#.#.######.....#.######.##.#.##...##.##.###..#.##.#....#####.####.#.#.####..##........##
###.#....###############...###.....###.#.#.#..##..##.#.......####....#######.##.#..##.#####.######.##..#####.##.........##.#........#########...#.#####.######..##.####.........##.#.#.##...#..####....#######....#...###..##...###.........###.##.#.###.##.##.##......##.#.#.#.#####.##..#.##..###..#...#.#.#..####.#.###.......##.#####..#...........#.######.#####..##.#.#..#.....#.#..###.#####.#.###.#.####.#.##.#.#.######.#.#.##.#.#..#..####.....#.....##...##..#.#..###.#..####.##..#...###.#.#.......##########.#.#.#########....##.#...#####.##..##.#.#......##.##.##.#####.#..###.#.#.#..####..##.###########.#####.##.#.#.#.........###...##.###.#.#.#.##.####.#.#.#..##....#..###.#.##.....#.##.#.######.##.##.###.#..##...##.....#...###...##....###.#.....#####.##..##.###..##....##.#..####.###########.#.##.....#.#.##...#.#.##..#.##..##.#.##.#.#.##.#####.##.#.##....####......##.######......#.#.##....##.##..##...##...##.#.####.##..##.....#..#.##.#..##.#.####
#.....##..#.#.##.#.#..####..##########.#.#.#.####.########.#.##...####........####.####......#.###.###.#.###..#########....#.#.#.#####.#......#....##.....#.###.#...##..#.#####.#..#.#.####.##..#.####..##.#.####.##.##.##.###.##.#######.#..#...#...#...#...#########.#..#............##....##.#.##...#.......##..#.#.#...#####........##...#####.#.#.###.#.##.##....###.#.##.##.##...#.##.#..#.####.#.#....#......#.#..........#.#.####.##.#.####..#.#...###..##.##..##.##.....##.#.....######.#...####.#.#.##.#.###.#.......###....###.##....###.....#..##....######.##.##.#..#.##..##.##......##....##..#.##.##.#.#......##........######.##.....###..#.#.#...#.##.#.#....#.##.#####.##..##...#..##.##.##..........##.##..#..##.#..########.#.###...#######.#.#.##.#####.#.....##..##..#####.##....##.#....#.##.#.......#####...#..###......##.#.##.##..#.#..#...##.#.....##....##.###....######..#.##.##.#####......####...#.####.###.#..#......#..##.######...##......########.#
#.#######.#.#.#..#.##...###...######.....#.#.##.#...####.#.#..##########.#.#.##....#....####........#..#.#.####.##...####.########.##....#.#.###.#..#.###.#.#...#.#..######.#...##.#.#.#.......##.#..##......#.#..##..#.#..#.#.#..####..#.##.###.###...#...#..#.##.###.##.#######.#.##..####.##.#....#.#.#.#.#..##...#.###.####..#.#.##..##.###....#.#.#.........####.##..#.#..#######.#.##.##.#..##..#.####.######.#####.#.#.##.#####.##.#..#..#.########.####.##....###.##.######.#####.#.#.#..############.##.#.#.#.#######..#..##.#....####.#####.#...###.####...#..#..##.##...###.##.#..####.##.#.####...##..#.#.##.#############.##...######.#.#.##.#.#.###.#.##.#.####...##..###.....#####.#####....########.##.##..##.##.##...#####.#.....#.##.##.##.#..#....#...#.#.#####..##..##.#####.###.####.###.##.#..####.#####..###.#.##.#.######..#.#..##.##.##.###..#.##.##..#.#####...####..#...##......##..#######.###.#..###.##.#.#.####.###.####.##...#.##..#####.###.#.##.##..#
###.........#.##.#.####.#.#.###....##.##.#....#.###..#.#.########........#####..#.#####.#..########.#.##....###.####.#.##...#.##...#..#.###########.###.#.#.###.####..##.#..###..#.#.#.#.##.##..#...##..##.#...##.##.##.##.#.#.#.##..##.####.#.#.#...#.###.##...#.............#.#######..##..#..###.##.#.#.#.#.#####.#.#.###....##.#####....##..##.#.#.#####.#.#..##...##.....##.#.##..#.##..#.#.####....#.#.#.###...#.############.....####...##.##..#.#..#....###.####...#.#.#.#..##......#.##.#..##.#.........#.........#.##.#####.####.##...#.#.#####.##..##.###.##.##.##.#..###........##....#..###..###..##.#.#.....##.##.#..#...##.########.#....#.#.#..##.#.#......####.#..##.##.##.#.##..##....##..##.#######.##.##..##.##.#..#.#..##.#.##.##.##..#.##.####...###.#.#.....##..##...##....#..###..#.#.##...###.#...#.#.##.#.#..#.#....#.##...##..#.##.....###...####..##...#.#.###....##.#########..##.#..##.#.....##.#.#..#.#.#..##..##....##..###.#.###..##.#####....#.##.##
#######.###...##.#.#.#......######.#####...####.####.#....#.#.#.#####.##.##.#####.##..####..........#.##.####.#..#......##.##..###.#######..#.#.##..##..........##...##..##..###.......########.#.#.#..###.#.#.....#..#.#......#.###.#...##....#.###.###.###..#...#.##.####.#....#.#....##..##.######..###.###.#.......#..#####..#.#.....######.##.#.#.#.....###.####.#######.#.....##.#.###...#.##.####.#...#.#.##.##..##......#.#####.##.##.##...##.#.#######.#......###.#.#.#.#.##..##.#........###.#########.#####.#.#....#.###...#.#...###.#...##....#..###.#..........#.#.#######.#########.#.###..##.##.#..#.#####....##.##.###.#..##..##.######.......##..#.######...#..#.##..####..#.###..####.######.#...#......#..##...####...##..###.#..##..##.#.#...#.##.##.#.#.#####..##..###..####.##...##......###.#.....###.#.#......##.#.####..#.#....##.#####.##.###.#.##.##..###.#...#.##..#.#.##....##.#....##....######.....##.#.#.####....######.##......##.....##.#.####.#...#
#..#..#.#...#..........####.#.#.#....#...#.###..#.#..###.##.....#...######.....######.##.#####.#.##....#..###.##.######..#.#..##.#.#.#.#.##.#....##....#.#####.#####.###..##.#.###.######.##.##...###.##.#####.#.#...##.######....#..###....##...##..#....###.#.#.#..###..######...####..#.##...#.##..################.#.##.....##.#.##.##......##.########.##...#.#..#.#.......###..#.#..####.#.##.###..###.#...#..##.########.#.##.##.##.....##.##..#....##.#.##.#.#.#...#........#########.####...#.##........#.##..######.......#...###.#...###..####.##.#.#.#######.##...#....##...##.....#....##..##.......##.##..#.####...#.#...##..##.#...#.#.###.#######....#.#.###.##.#.###.#.###.#...#.##....#.##.#.###.######.##.##.###....#####.##..#.####..#.#...#.#.##.##.#.#.#.....####.#.#.##.#.....#####.###.....#####..##.#.#####.##.....#.##.######.##..##.#.##.#...#.#.....##.....#######......####......##.#####......#####..#.#.#.#..####...#.#..######.##..######.#.#.#....###
##.##.###########.###.##......#.##.#.#####.#.##...##...#..#####.###.###.####.#..##.#.....#.#...#######.#.##.#.#.......##.#.#.##...........#.#.##....#######......##..#.#.##..........#.#.....####..#####.##.########.##...##.####...##.#.##..###..#####.#..#########.####..#...###..####.#.##.#...######..#..##....#......#####..#####...##.#.#..####.#.########...##...#.####.#####.....##.##.#.##.#.##..##.###.##....##..#......##.#..##.###....###.###.##.......#######.#.########....#....##...#...#..#.#.##....######....#.#######..##.###.#.##..#.#......#.#..#########.#.#######.##.###.####.###..####.#.###..##.....####...###..##..#.###.#.#.##...##..#####.#.#.##.....#..#..#.#.#.###...##.##...##....##.#.##.#.##.#..#.####...#...##.##.#.#..##.#####.#.....#.#.#.#####...##.#...##...#.#....####...#####.#...##..#..##...####.###..#..##....#..###.#.#..#.#...#.########.###..##.##.##.##..#####.#####.####.#####.###.##.#.#.##.#.##.#.#.#.##.###...##.#.#......#...######
#..#...##..........#########.##.####.#.##....##.#..###.##.#.#.......#.....#####.#....###.....#.##..#......#.#.#.####.##.......###########...#######.#...#.#####.####.#...#########.#...####.##..##..##.#.....##.#.....##.##..##.#.#..#.#######.##.#.#.#.##...#.#..####.###.##.##...##.##.#.####.###....##...######.#####.##..######.####.####.####....#......#.###.##.########.#...####.##.......##.#.#..##..#...####.####.######.#..##.######.##.......#.######.#..#.##...#..##.##.####.##.#..###.#.#...########.###.#....#.####.....##.....#..#.###...###.##.#.#.##..####.#...###.###.##.#...#....#.##..#.###.#.##.##.#####.####.##..####.........#.####....##..........#####.##.##...#.#.#####..#####.######..#.#.#..#.##.##...#..###.###.#.....#.#.##...##...#####.#.#.#..##...#.##...#####.#####.###.####..###..#.#..##.##....###........##.######.##.#...#.#.######.......#.#....#.###..#.######....#....##..........##.#...##.#.#.##.#.##.###.#.##.#.#.###..#.######...####...#
##.##.##########.###.#.###....#..##....###.#.#####.#.#.##.#.#.#####.##.##.#.....######...##.##.###...####.#.#.###.#..######.###.##......###.####.######.#...##..#.##.##.##.#.##.######.#.#..###.#..##..#####.#..#####....##.##..#.##.#.##.##......#.#.######.....##.#.........####.##.......##....####.####.##.....#...#..##.#.#.#..#.##..##..#....##...##.#........#.#.##.....###......########..#.#.##..##.###..##....##.#.##...##......##.########.#......###.#.##.####.#.###.....##..##.##.#...#######.#.##....#..#.#.####....#.#..#####.##.#..####.###.#.......##.#.#..##.##.#...#.######.####.#..##.#.##....#.......#.#.#....#..##..#.#.#####...#.###.#..##########.#.#.......###.......####..#.#....##.##.#.#.##.#.##.##.###.##....##.####.##......#..###...##....#.#.#####.######.#.#.###.#...##..#.##.##...#####.##.#####...##.#.#####..####.#.##.###......##....#.#.#.#...####.#.##.#..##.#####.##.########.###.##..###.##.#.#.##.#.##..#....##...#.##..##..#.#...####.#.###
#..##..#.#.......##....#.####.##..####.#.###..##.......##.#.###.....####..#.###.#.#.############.##.##........##..##.#.##.#.###....#.##.#...#.#..#.##.#.###..##.#.##....##....#.#.#.##.#.##.#.#.##..##.##.#..##.##..##.#.....##.####.#.#...####.#......##....##.##....#######.#.#...###.#.#..##.###.#...##..####.#.###.#.##..#.#.##....######.####..##.########.###......##############..##......##......##....##..####.##...####..#.####.##.##..#.#####.###.#.###....#.#......#.##.####..######.#.##.#.#..#.#..##...#################.#..........##......###.##.####..#.##.##.##...#.#.#.#.......#...##.....####...#.#####...####...####.###########.#...###.##..##..........#####.#.#.####.##..##...###.###........#..#.##.##..##.#####.#..#.#..###.##.#####.###..####.#.#..##.#..##....#.#..##.###..##.#.#...###.#.#.#.#...###..######.#.#.##..##..#.##.#.##.#####..##.#########.#.##.#..#.#.##...##.......#.#.#.###.#..#.####.........#.#.##.##.#######....##..##...###.#..#.#.#.#
##..#.##.#####.#.##.##....#...###.#.#.....#..#######.#..#....######.#.#..####.#.#.#.#.###..#.##..############.###.#..#.##...#.####.####.###...##........###.##.....####.#####..........#.#....#.##.##..##.##.......######.##.##..##..#.#.###..######.#########.....#.#####..#.#.##.##.######..#..##.###..##.#.#..#..#....###...#.###.#..##.##.##.##.#####..###..###.##.###..###....#####.#####.#....####..##.###..###....###..####.###..#.##..##.#.#.#.###.#....#..####.###.####.####..##.###.#..####...##.#.#######.#.#.#.#.#...#.#...##.####.##.######.###..#..##.##.#.......##.#######.#######.#.######.####...#.#.#.#.##.##.#..#..#.#.##.#....#...###..#...#.####.#.###.#.#.......###.....##..###.#.#.#.########.##.#.....##.##.#.##..##...##..##..#.#.##....##.##.....#.###...######.#.#.##..##..##....##.##...#.#.#.###.#.##..##.#......###.###...##.#.#...#.##.##....##.#.#.....#.#.##.#.####..######.##.#.#..#..##.#.#..########.##...##.#...#.##.###.####.##.###.....##.....#
###.#.##..###############...#.........###.##..##..#####.###.##.#........##.#....#.......##.#....##.##..#.##.#.#.#.##....##.##.#.#####.......######.#.##......####.###.#..##.#########.##...##.#.##..##.#.....#.#.#..#.#.###..##.####.#.#.#.##.##.......#.#.....#####.#...##........##..#.#.#.##.###.#.#.###.#.##.##...##..#..#.....####.##..#.#..####.#.#.##.####...##...##.#.####...........#########...##...###.#...#.#####.#....####.#.##.##........##....##.##...#..###.##......##....#.#.######..#......#.#..##.#.#.......#.#.###..########...##.##.#.#####..#.#..##.###.###.#.##.#..#.##........#.#..##.#######.#...##......###.#.#.#..####.###.#.##.###...#.##.###...#.#######...#####.###.##....#.#.#.#......#....###.##.##....##.##.###..##..####.####.##...##.##.#.#.#.###.###....#.###.###..##.####..###.#.#....##......##..###.####.....###..#.#...###..###..####......#####.#.#.....##..##.###..##.#.##.#.##..#.#.##....##...###......###.#......##.#......##.######.####
#.#.#.##.##..##.#.#.......####.#.#.#.###.....###.##.#...#........######..#.####...##.##....####.....##....#.#...#..####.##.##....##...#.###.#.#....#########.##....#....###......#.#...#.####......##..#.##########......###....#.#......#.#...######.##.########..#####..####.###..#.##..........#.#.#..#.....##########...###.##.##.#..##.####..##....#....##########.###.#.#..###########.##..##..###..###.#...###.#..#.##.####.#.##.#.##..###.####.########..###...##.#.####.########.....####.#########.#.#.##..#.#########.#.#...###.......#....#....#.#.##...##.####.#.##..#.##.##......####.#...##..#..###.#..#.#####.######..#.#.#.##.#..##...........###..#.####.##.#..#####.##.#....#...####.......######.#######..##..####.......#.##.###..##....##....#.#####.....#..##...####.#.#....##.##..##...##.#...####..##.#.#....##.#....###.######...###.#.##..#..###.####.####.##.#...#######..#.#.##.##.#..#....##......##.#.####.#.#.##.####..##.#.#..#.##.##.###..#..##....#
#.#....#.#..##....####.##.#....#.#.#...#####.#.#.#..###.###.#.#.##..####.#.###..#.########..#######.#####...###...###.......####.##########.#.###.#######.....####.####.#.######.#...######.####.####.#######.#.#.##.###.#.#.##...######...###..#.#.......##.##...##...##.#.####.##......##.#.#.#...#.##.#.######.###.....#.#.####.##...##...#.##.#####.####....##.##.#.#.#...#.##....#.#.....##.###.....##.#.###...###.##.#...##.....#.#.##.##.###.....##.##.#.##...####.#..###...##.#.###.###..#...#.....#.#.#.###.#.###...##....##.##.############.####.#.#..###..#.#.#..#.###.#..#.##############.#..##...##.#.##...###...#..#.##...#.#.#....#############...##.###.########.......##.####.###..#.###.##.####....##..#.##.#..####..#.#.#........#.######.#####.###.##..#.#...##..###....#.####.##..##.####..#.#.###.###..#####.####....#####...##.###.##...#.###...##.#.#.#.....#.##.#.###..#.###......#.#..##.####..##.########.#.##.#.#.####..##..#####.##.####..#...##.###.####
#.####.....######....####.#.#.##.#.#.#..##.....#.##.#...##..#######........#.##.#.#......##.#.###.........#...###.#.#######..###.#.###........##..#..##.#####.##.#...##.#.#.#..#.###..#.##.......##...#.##........##.###.#.###..#...#..###.....##.##.####.##.#..######......#.#.....##.######.#.###...##......#.#.#.#########.#.....###.####.#.#...####.#####.#...........###....####.....###.#....#####..#...#.#.###....#.###.######......#.##..######..#.#.....###.##.#...##.#.####...##....##.###...###........#..#.#.###..####.#..##.##..#.###....##.......##.##.#...##.#.#.#...##...##...#....##.#######....#.###.##.######.#..###.#.#.####.#####.###..####..#.###.#.#......#.###...........##.#.##...###..###.####...#..##.##...#######.#####.#.####.#.#......##..########.###...####.#.###..###.....####......##.#...###.#....##.#.###..##.##.......###...#.###.#....#...#.###.##.#.#...##...#####.##...##.......##....#..##....##......####..#.###.....#..####...####.#.#.#.##
#...####.#####.#####.#....######.###.#######.#.#.##.##.######....#########.#.###########....#.#.###.#########.##.....##.....##.#.#...########..#####.....#.##....###....#.#.##...#.#.##..##.#.##..##.##..#####.##....#.....####.###.#.####.###.#..#####....#.##...##.##.##.##...#.#..###...##########.##.##.###.#..........##.#####.#....##......#.#....#..######.#.#.###.#.##.####.##.#.##.....##.#.#.##.###.#.#.#.####...##..#.#.#######.#..##...#####.#.#.#.#......#.###.#..#..#.###.#####.....############.##.##.#...####.####.##.##.###.#.#.####.####.###.##.##.#.###........#.##.######.####.....#.##.####.#.#...##...##.....###..#.#..##...##...#.##.#.##.##.#.#...######.#####.#.#.#.#.#.#....####..###..#.....#.#...##...#####.#..##.###......##..#.####.#..##..####.#..#.#.###.##...#.##.#.#.#.###.#######..#.###.##....#######...##..#.##.####.##.#.#.#..##...##...######..#..#...#..##.##.###..#.###..###.#.####.##.#####.######.###.##.##...#####.#.##..###.#..#.#.#.#..#
###..#.....##..#.......#.##........#####.....#...#......#..#####.....##....#.....#.#.#.####.#.#.....##...........#.#....###.##.#...#.#.##.....##.#.###.#......##..#####.#.#.####.#......#########.##....##...############.##.####.....##.####....##.#.####....#.###...###.....###.########.#.#.#..###..#.####...##########.##.#.....####....####.#####.##.##.#.##.#####...#.##.##.#..#############.#......##....#.#.#.####.###........#..#.#.####.##.....#...########.#.#...##.#.##..##..#.#####.##.#........###.......###..#.#........#.#.............#...#...........#.#######.#####..##....#.###.##.......#.#.#.###.##.######.#...##.#...##..#..###...........##.#.##.###.....##..###########...##....##.#.##.#####.#####..##.##.###...#####.####.####.##....####.##.##.#..##.#.#.##...#.###........###....#.##.##.#.#.#..####.##.#.#..####.##..###.........####.#..#..###....#.##.##.#.######..##.#.##.....#.######.#.#..#...#.#...##......#.#...#.####.##.#..##.##..##.#.#.#.#.##
####.###.#####.##.##.#.#..#####.####.....#.#.###.######.##...#######.#..##...#####..........#.############.#.##.####.####....#.##.####.####.#......########.#####...........#.#..##.#.#.#.##.#.....#.#.#####.#...##.##..#.....##..###.#..##...##.##.#...###.#.....###.##..###.##..#......#...#.##.#.##.#....##.##.##.###.#.##.###.#......#######..##...##.#.....###.....#...........###.#.##.###.#.######..####.#.#...#.##.#.########.##...#..##..######.##.####...##...###.##......####....#.....#.#######.##...#.###...##.....######...##########.##.###############.#.#..##.#.#.##..######.#.#.########.###.....##......#.###.###.##.###....#####.##.########.##.#..#.#.####.####.##.#..###...#.###.###..#.##.....#.##.###.##.##.#.###.#.##...#....##...#.######......#.##.........###.#..######.##..#####.#.##........##..#...#..#.##.#..#.#..############..#.#.#.############.#..........##..##.......##.####...##.#.##.#.###.##.######.###.##.##..##..##.##.....##.##.#........#
#........#.##...########.##.......##.##.#######............###.##......#####.##..####.#.#.#.......##.#..#..#.#############.#...##.##...#.##.##.#.#...##.##..##....##.##.###.#.##..#####.#.#..####.##.#####.#.###.#...##.###.########..##....####.##.###.#.######.##.#.#..##...##########.###.#.#.........####........#.#........#####.#.###......#####.#..###.#..#..##.####.#######.#.#.#......#...#.##.#.####..#.###.#.#....#...........#.#.####.#..###..####.###....#.###.####.#####.####.#####.#.###.#...########...#######.##...####..##.##...####.##.#.#..........#.#.###...#.##.##.##........#.......######.##..##.#...#.#.#...##.#...##.#.##..#####.##.#...#.##...#..#####.......#.##.#######.#...##.#.######...##......#..#...##..#.####.#.##.####.....##.###.####.######.###.#...##.#.#.#####.##..#..#..#####.######.###...##.##...##.#.##..........##.#.#.#.#.###.##.#.#.##.###.#######..##.##.#..###.#..#.......#...#.#..#..##.##.##..#..#..##..##..##.#####..##...#####.##
#.#.####....##.##...#.##.##.#.###..######.#.....#.########.#.#.#..######......##.#.#..#.####.###.##..##...####.#.#.###..######.....###.#..##########.....########..######......##.##.#....##.#....#...#.#..#.##..###......#..##.##.##.####.###.#....###.#.##.#.#.##.....####.##.......#...##.#.#######.#.##.########.#.###.###.##..######.######..#.#..##...####.########.###.##....#.#.####.#.###.........#.##.#.#.#.#.####.#.##.#.######....#.#...##.##.##.....####.###....#....##.#.#.#...##.....#.#.###..#.#######..##..####..#......##..#..###....##.#.######.#.#......#..#.#..#.....#####.##...#.###.#.#.##.########.###.#####....#####.....#.##.#.#.##.#.###....#.#.##.#########.#....#.###...###.##....#.#####..######.##...#####...#.##.###...#.#.#####...##..##..#.#....#.#####.##.#.#.#.#.#..##.##.#.##..#..##.#....##.####.##.####.#..###.###.##.##.#.#.#.....#.#..#.#..#...####.##.##..#.#####..##.##########.#.###.##.##.##.#...##.##.##..##.##.##..#...##.###.#########
#.#.#....#####..###....#.##.###...###..#..####.######..........######.#..####.##.#...##.##...#...#..########...........##.#....##.##.#.##..........#####.##...#######.....##.#.........#####.####...###.##.#..##.#.######.#.###.##.#.....###.#...##...............##.##...#########.#...#.......#.######.#...##...##.#.#.####...##.#.#.#...#.##..##...##..####.#...#.###...#...####.#...##.###.##..#.#.###...##.....#.#.##...########.##...##.#...#.#......#####.##.#...##.#.##.#....#.#.###.######......###.....#..##.####.#.#..##.#.##..##.##..#####.##.......########.##...#####...#####...####.######..#.#.#....##..#...##..##.####..##...##.##..#.#.#.#....#####.####.##.#..##.......##.....###......####.....###.####.#...###...##..###.....#..#.......#.###.###.##.##.####....##...#..#.#.....#.##..##....##.##.##.##.#.#.....#.##..##....##.#####.##.#....#.#.#####.##.#.##...#####.....##.####.####..#..##.#..#.....#.#.#......#.#.###..#..##.##......##.#.###..#.#.#.....#.#
########..###..###..############.##.##.##.#.#..#......##.##.######......####.....#####..##.#####.##.##.....###########.#....####.....#..#####.###.#####.....#...###.################.#..##.#.##.##.##...##.##.#.....#.#.....#.#.#..###.###.....#..##.#.##.######.#####..###.#.##..####.####.###......##....#####.##.........###.##.#.#.###....##.####.###..##..###.......#...#.#......#.#..###..############....#.#......##.####..###.#######.###.########..##......##.##..#.##.###.##.........##...###.##.#####.#.##..#.#......#########....#..##..#...#######.#.#..########..##.#.###.#.###..#.#####..##...#.##.#..##.##.##..##.......#####.######.#.#...##.#.#.###..##..##.##..###.#.########..#####.#....#####......#.#.##.##.###..##.#.#####.#####.##.#.#..#..#....#.#..##...#######.#.##.##.##.#..##.###.####.#..##.####.##.####..#.#####.###..##.###..#.##.#.#.####..##......#####.##.#.###..##...#...##.##..##.#####.....######...#.#.##...##..######.##....#.##.#.#...#####.#
###...##.##.##...##...#.#.###..###......#.#.######.#.######...##.#########...#.#....#########.......####.#.....###.......#.###...#.#...###.####....#..##.######.#...###.##.##.##.....##.......#.#..####.#...#.#####.....###.#.#.##......######.#.############.##...##..###.....##..#.###.#..###.##.#....####.#.#.###.#.####..............##.#.....#.#.#.##.###..###########.##...######.##.#...##.###.#..#.###.#######.####.#....##....##.##.......##.#.###..######.....####.##...#.###.#####.#######......##.##.#..##.#.######.#..#....####.##..##.###.#.##....#.#.##.###.##.##..#.##....#.##....#..##..###.#.#####.##.##.#..######.##.#.#.#.#.##.#.#.##.#####.#.#.#.####..#.##.##...###......##.......#.##..#.#######.#.#.....#.#.##.#..#.##.#..##....#######.##.####.#.#.#####...#.#.#.#.##..###....##..#.#..#.#.##.##..##......####....##...#.#.##...#..#####..........####.###.....#.#..###.##.####.###.##..##.#..#.#...##.##.#.#..###....###..#.##..###.###.###.##...#.###...#.#
#.###.......####.#..#.#.#.#...#########...#.#..###.#.#..#.##.##..##........#.#.##.#.....##....#.#.#......#.#.#...##.#.##.#.#...#.#####.#.#..######.##..#####.##.#.#.#...##.....##.##..##.##.###.##..#.#.###....###..#####.....#..#####.##.#.######..####.........#######.#####..##.#.###.##.#...##.####.#.##.#.#...#.########.#####.####..######.##.#.#.##..#..##......##.#####.######...#.###.##..#..##.#...###.#.#....##....########....###.###.###.#.#.#.###..######.#.#..#..#####.####.....##.###.##.#.........##..#.#..######.####.........##.........####..........#.....##...###.#.#.#####.##.###.##..#...#.#.#..##.#.###.#.####.........##.#.#.##.##......#.....##.##.#...#####...####..#######.#.###....#.##...#.#####.#.#....##.#.#..##..####...#.##..#..##...#.#..#..##.##..........#######..##.#.##.#.#.#...#.####.#.###..####..##.##...####.##...#...#####.####..###...#.###.##..##.#..#.#..#...##.###.##.#...#..#.#......##.#.#####..##..##...#..##..##..###.#.....#...#
#.#.######.##..#.##.###.#.###.##........#.....##.######...##..##..##########.#.#######.#############.#.#.#.#.###..###.#..#.#.#.#.##.#....##.#......##.####.#.##...###.#..#####..#.#..#####..#.#..##.#.....###.##...##########.#.##..##.##....######..#.#########....####..##.##.##.....#..####.######...#.##.#...######....####.....#..##..##.#.....#....##.##.#######.#..##.##.#......#.......#..##.##....####......##.####.###.....####.#.###.#.#.........##..##..#...#.##.#.##.##..##.#.###.##.#.##########.###.###.....##.###...#.#########.#..##.##.###.#..#####.##...###....###.#.###...#.#.#...#...##...###.#.#.##......#.#.##.####.####.##...#.##..####.#...#####...#.#.#######.#.#....##....######.##.#.#..###.#.##.##.#.####....#.##.#..##.#..###..##.##.####.#.#.##.##..####.#.###.##..#....###.#.##...#.###.#.######..##.###.#.##..####.#.#..####.###.#.#.###.##.######.###.#..##......##.##.##.###..#..##.#####.####.####.##.#.#.#.##.##.#####.#.####..#.####...######.##
#.......##..##...##.##..#.#.#.#####.##.####.#......##.###....####.#.##....##.###.###.#..##.#..####.#.###.#.######.###.##.##########.###.##..######.#..##...#.####..####.##.#.##.#.####.####...#.##..#.#####...######..........#.##.##..#####.#.#..##.....##.##...####..##.....#.###.##.#.###.####...###....#.#.###..#.####...#########..#.##....#.#.##.#.##.##..##...#...##...#.##############...##..###.###.#..######...##....####.##.......#....#######.#.###..##.###.#.##....#....###...##..#..#.##.##.######.#.#.#####.##.#.###...............##..##.##..####......##########.#.#.#..####.#...###.###..###..##.#.#.######.##.#..#.##.####....#.#...###..#.#####.#.#.#.#......##...########.#####...#.##.####.#.###.....#...........##.#.##.##.##.##.###.###.##.#.#......#...##..#######...###.###.###....###.##.#.#.#..##.###.##........##..##....##.#.#...........##.#..##......#..#.####.######....#....##...###...##..#.#####.#.##.....#.##.##...##..#..##..##.##.###......####
##.##.#....#####.##.###.#.#....#########....##.#.###....####.####.#.####.##..##...#....###.#.##.#....###.###...#....###..#..##...........##.#.##.#.##.####.#.#.##.##.#..........###.##.#....#....##.#.....###.#.#.#..##.##.##...#..###..##.#.#.##.#####.##..####..#.##.######...#.####.#.##...#.###.#.#.##.#...#.##.#..##..###.###.####.#.#####.###.####.##.#..#####.###.####...####.###.......#..##.#....#..#####.##..#....####.#...#######.####.#..######.#.##.#........###.###.####.#.#####...##.#........##.......##...##.#.#.#####.#####.#.#..##.##.##.##..########.......##.#.#.##..##..###.###...##.##..##.......###......##.#..#.##.###.####.###.##.#..##.#.#.#.######.###..#..#.#.#.#.#...###....#.#........#.###...##.####.#.#..#.#...#.##.##.....##..##...######...#####...##.#..#..##.#.#.##..####.#.#..#.#.#.###...#.####.###.###.####.####.#.##.####.###..#.#.#####.##.#.##.##...##...#.##.#.####..###.###.###.#..##.....####.###.#...##.####.##.###..#..#..##.#######.#
##..######..#.#..#......#.##.###...#.####.#.####...####...#...##....#.#...#######...##.##..#.##.##.#.#.#######.###.########.#..#####.###.#....#....................#.##.##.#.##..#...#.######.##....#.#####.........###########.##.#...##..........#..#.#..##.#..##..#..#.....#...##...#.####...#...#.###....###..#.##..##..#..#.#..#.......#.#####.#.#..##.##..##............#.#........#.##.###.##.####.##..##....##.##.#..##..###.###..##..#...#.##..##.......########...#.#....##..###...###.##.########.#..####.#####.#..#.#.#.###########.#.######..#..#.###..##.#######.##...#.#..####.#.#.#.###.#...##..#####.###.######.##.##...#.......##...##....#.##..#.#.....###....#####.....#.#.###...####...###.#.#.######.###..#....#.##.#.###.#.#..##.#######.####.##.#####..##.#.###..####.##.......##...##.#.##.#.#.#...###.#...####.#...#.#.#...##..#.####.##...##.#...#.#.#.#..#..#..###..##.####..#.#..##..##.#.#.#...##..#####..###..##.#.####.#.#..##.#.##.#.##.###.........#
#..##......##.##.####.#........#.#........#.#.####.#.####.##.######.#.###.#.#########...##.#.##.##.#.#.###.##.......#..###..#.####...#...####.########.#####.###.#......########.#.###.#.#.####..##.......#########.##.............#.#####.#.#####.#.##.#.##....####.##.#.#######..###...#.####...#....#..##.#.##.#.##.####.##...##.###.###....##.#.#.##.##..#.#######.#.##.#.#.###############.#.##..###..#.#####.#########..##.#...#.##.###.###.#..#.##..#.###......#####...#.#.####..####.#....#....###.....##.....##.....##.....#.##.....#######.#.##...##.##..##..#..##.#.#..#...##...##...#.#.#.#.##.##..##..#...##.##.#...#...###.#######..##.##..#.##.###.#...#.###.###.##...##.##......##.###.##.###...###..##......##.####.###........#.#.###...#.##...#.#..#.#.#...##....#.##.#.#.....#####.#..####.#.##.......###.#...###.#....###.#.##.####.#.#.#..##.######.###.#.####.##.#.##.#.##...##..##...##..###.#.#.###..##....##.##...###.#..##..#.##.##.#.#..#.#....#.#########
######.###.##.##.########.###.##.####.#.#.#.#..........#.....##.....#.##..#..##.#..###.##..#.##.######.....#..##.##.#.##.##.####...#####..##.......#######...#...#.###.##.#.#.......##.#.#..##..######.#####.##..##.#####.###.####...##..#####..##.#.#..#.#####.#.#..##.#####...#.##.##.##.#.#########...##.....#.#.##..##...###.#..#.########.#..........##.#.#.#.....###..#####.......#.#..#....##.##.##....##.#..#.#.####.##..###.#.#..#.#.##....##..######.######.#...##.##.####...##.##.#.##.####...####.####.##..##.##..#####.#.#####.##.#.##.....###.#...#.####.##..#...##.##.#####..###.....#...##..##..##...####.##.###.###.#......#.##.##...##.###..#.#.#.######..##...#.#########.##..#.....##.....#.##..######.####.#......###.#.##.#.#.#.##.##..###.#.##.....###.#..####..#.#.#######.......##..#.#.#..#######...###..##.###.###..#.##..##..#...##.##....###..##.#.##.#.##.#.##...##.#####..###..#.##.#.#...####.#..#.##...###.#.#.#.####.#.##.##.#.#.##...####.....##..#
#.#.####....#.##.#..#####.#....############.#.########.#####..#####...###.#.##..##.#...###.#..#.#.#.######.########.#....#..##...####.###....#####...##..##.######.##..##...##.#.##..#.#.##..##.#.#.....###.....#####.#.########.###..##.##....##..#.##.#.#.....#.##.#..###...#....#.#.......#...#.####.######.##.#.###.###.##.#.##.#.##....#..#.##.####.##......#.##.########.####.###...##...##.....#.###.#..#...##...#.#...##.##....##........##.##.##.#.#...###...###.....#..#.###..#.#..####.##.###......########.######.##.#..........##...######.....###.#.#.#...##.##.#####..##.#..##.#####.###.#..####.####..##..##.#...###.######....#..##.##....##.#.#.....##.##.##.#....##.##.######.###.#....##.######..##.#####.##########...###......#..#....##.....####.#.....##....##.....#.##.#..#.###..##.#...##.##.#..##.##.#.##..##....##.#..##..##.#.#.#..##.####.#.###.#.#.....#......####..#.#..##...##..#.#.##.##......#######..#....#.#..##..#.#..##........#....#.#.###..##
#...#.#..##....#...##.#.#.####..##..####..#####....##......##..##...###.#...###.#..###.....#.##.#.#..###.#.##..##.#.####.##..#.###........#######..#..##.##.#.#....###..###....#####......##.####.####.##.#####...##..#..##.##.#.#.#.##..#####..##...#..#.###.#...#..##.#.########.#...#.###.###.#....####.#...##.#.#.#......#.#.##.#..####...##.#..#....###.#####.#####.#.##.....#######..#####..###.#.#.####...######.#.##.##.....##..####.###.#......#.#.##.##.###.##..###...##.##..##...###.#.##.#.#.##.#..##.......##.#..#..#####.####.####.#...###.##...#.#.#.##.##......#.#..###.#.##........#.#.#.#####..#.#.####.##.###.#.#.#..#.####.#.##..###.###......#####..#...###.####...#.#.#..#.#######.#####.##.##..#.#...#.##....##.###.#####.##...##.#########..#####.###....#########...##.#.######.###.#.###...#.#.##..#.....##.#..####..#.####.#..###.##.##.#.##.#.##..#.###.#...####.#..#.##.##..###.##.##.#.##.###.##.##.#...##.##.###.##.###.....####.###.####.#...#...##.##
###.#.##.#####.#.#.#....####.##.##.##.#..#####..##.#..##.#..##.#..#.#.#.#.###.#.##.#.#.###...##.#.#.##...#..##..#...##.#.##.#####..######.#.......###.#.....#...##.#...##.#######.#######..#.#.#..#.....#..##.##.####.##.##.#....#....##..##.#.#####.##.#...#####.##.#....##.#.....#######....#..####..##..###.#....#.##.#.#.#.#....#.##.####..#########...#.#.###.#.#...#.#..#####...####.......##........#.###..#.#.#....#.##########...#############...#.#...#.##..#######.###..###.####..#..#.#..#...##.##.##.#.#.#....##.##...###.###.....#.###..#######........#.#######.#.##.#.#....####.###.#.....#.##..##.#.##...##..##.#.#.##.#.........##.#.#...####.#..#####...####..#..###.#.#.##.#.#..#..###.###.......##...###.#..##....#.###.#####..#.##....##..##.##..#########...##.#.####....###.#......#.#.#...#...#..##.###.###..#.##..##....##..##..##....#....##....##.#..######.#.#..#.##.#...#.##...##..#.#.#...####...#.##.###....#...##..###.#.##..####..#.############...#
#.#...####.....#.######..#.#.##..#.##.##.##.#..##....######..#.#.##........##....#.#.#..####........####.##..##...#....#.##..##.##.#......#.##.#.##.....#.#.##########.#..........#.##..##.#.#.##.##.##...##.....#.##.#..##.####.##.###..##.....#.#...#.###.##..#.##.####.##...#.#....#.#####.##.##.##.###...#.#.##...##.#.#...####.#.##.#.###..##.##..###...#.#.###.###.#.#.###..###......##.######.####.##.###.##.#.####....##.##.....#..##..##.##.###.##.##.##.#..##..##.....##..##..####.##.#.##.##.##################..#.####.#.###.#####.#.#.##.#.#.#.########.#..##.#......#.#.#.####..###.....#.#.#.###.##.#.##.####.##..#......###.##.##.##...#.###..####.#..##.###.#..##.##.#......#.#.##.#.##...#.#######.#..#####.######.#....#..#.######.##.######.....##..##...##..####.#....####..##.######.....#######...##..#...#.##...##.######.##.####..####.##.###..####....##.#.####.##.#..#.###...####.#..##...#.###.#..###.#....####.#.#####..####..##.##...##.#.#.#.#.#.###.##
#...###..#####.#..##..##......##.#.##.#...#.####..##.##.#.##.#.#####.#.#.#..####.....####.##.#.#.##.#....###.##.#.####.#..#.##...#######.####..#.#..###.#####..........#.#.#.####....##....#.#.#..######.#######....#.#.##.......#..#.##..###.###...#.......###.#.##.###...###.####.#..........#........####.#.###..#.########.##........#.#.#.##...##.#.##.##...##......#...#.##...######..###...####..#..#.#........#.#####.#...########..##..............#..##.##.#..#####.####.##..##..#.......#.#####.#.###.....#.####....##....##....#.......................#.#.##..######.#.#.#.#.###..####.###.#..........#.##..##...##.#.####.#.#######.####.#.#.##..##....##..##..#.###..#.###.##..........####.....#.......####.#..##..######.##.#.#.#.#..##.....##.#.#....#####..##..#.#.##.###....##....##.####.##.##.#..#####.###...#..###...#.#.#.##.#.##.##.##.##..#..###.##.####...#.#..#..#.##...###.#.#....#####....##.##..##.##.####.....#.#.##...###..#.####...............##..#
###.#.#.##.....##..#.#######.##..#.##.###.#..##..#####.........###...#####.##.##.#.#.......########...##.....#..###....##.#.##.####.######.###.########.##.##########.########.#####.#####...#...##.#.##.#.##..####......#####.#.##...##.##...#.##.####.#.#..#..#.##.#.#.#..#...#.#.#.#.##.###...#.##.#.........###.###.#.##....###.##.#........##.##....#...#.#########.###.#..###........####.#..####.##.#.####.###.#.........#.#.##.#.##.###########.#.#...###.#..#.#####...#......####.###.###.#..##.#.#.#.#####........##.#####..##.#...########.###.##.#####.#.#....###.#.#.#.#.#.#...##.#.#####..##.###.###.#..##..##.##..###.#.....#.#.....##....#..##..##.###..####...#.##.....####.#.#.####.#..###.#.####.#.##..#.##..##.##..............##.#..#############.##..##....##.#.#..######.####.##....##.##.#..##...##....###.##.##..###.#....#.#.#...#.##.###.#.##.#..#.##.###.#.##.##......###.#.....##.#.##..#####.###..#..#..#.#####...#.##.###.#.##..#.#.##.#.###.#.#.###.##
#.....#.####.#....##..##.#....##...##.#.#...##..###.##########.#.######.#........#########..##....##########...#######......##.###.........#.####.......#....##.###...#.#.#.#....#.........#...#..............##.#######.##..###..###.##..###.#..###########...##.#..#.####...###...#.#.#####..#.#######.#####.##....##...#####.###############.##.#####.#.###.#.##............##############.####.......#.#..#####...######.#.####....#.##.#..#........#####.#.#.##...#.##..#...##.#..##..#######.#.##......#..##.#####.#####.#.#.##.#########.......#########........#.##.......#.#.....####.#.......##..#...##....####.##..##..#..##.##.#.#####..####.#.##..###...##..#.###....###.####...#.#.#......######.#.####.###.#..##..#.#..#.#.##.#####.##.#.##.##.##..##.#..##.#####.#..#.#.##.##.#.#.#...####.....#.##.##.###..#####..##..##.....#.##.#...###.#.#...#..#....##...##.##..#.#..##.#######..##.#####.#..##.#.##...###...##.##.#######.#.##.##..#.###.#.#.############.##...#
#.#.#...#.#####.#....###.#.#######.##.#.###.#..##.#.#.#........#.##.##..##.#.#.###....#....######.###......##.##..#########.##...##.#.####.#.##.############........#.#.....####...##.###.##.########.####.####...##......#.##...##....#.##.#.#.###.#.##.#.###..#.##.#..#####.###.#.#####.##..####.......#......###.##..###..##.#..#.###.##.....#..#.###.#.###.#..############.##.#...#.#......#.#######.....##.#####......###...#####.#....##.###.#.##.#..........###.#.#..############..##..#....#....####...##...##.#####.......##.#.#.#.#.#####.#.#....##.####.##.##.######.#...###.####...##########.######..##.#.#...##..##...#####....###.##.#......#..###..###..##.....####.#.##.##.##.####.###..#.##......#...##.#.####.....##########.........##.#...#.##....###..##.#.#.##....#.##.#...#.#.#.######.#.##.#..#.##..#.#..##..#####.###.#####.####...##.##.##.#######.##..##.#.##........#.#.#####.....#.##..#..##.##...####.##.#...##..#.##..##...#.#...#....##....#####..#.#
#######....##...###.##.#....#.#.#..#..#..##.#####.#.#.########.#.##..##.##.#.########...#.##..##..#.####.#..#####..............########.#.......##.#......#####.#.#.#######......#######..####........#.......###..######...####..####...##...#.##..#.##...#.#.##.#..##..#.####.######.#.....##..###.##.###.##.##...##.##...##....##...#..##.##...##.#...#.#.#.#.##.#.###.#....##.###.#.######.#.##...####.#....#.#.##.#.#.##..###.#...###.###.#.########.###.##.#.......##...####.#.##..####.####.#.#####.###.##.#....###...#####............#.#.########.....#####..#...#.#...#.#..##..#.###.##.##......#.####.###...#.#####.####.#..####.##....#.##.###...##.##.#...#######..##.....#..###########...##.#..##.#...#..#.#..#.####.##...#.##.##.#.####.#..###.#.###.#...##..#.#.#.##.#.##.##.##.####.#........#.##.##.#..##.#.##..##..##....#..#.#...##.###.##..#.#..##...##..#.##..#.##.##.#####.#.#..######.#..##.#.##...###..#....#.###.#..##..##....###.###.#.######.###.##..####
##......##.####.#...##.###.##.#.##.##.##.##...#.#...#..#.#........##.#...#######...######..##..##....######.###.##.#####.#.##.##..####....#####......####...##..######.######.#####.#..####.#####.#.#.######.#####..#######.#.###.#..###....###.###....#.#.....##.##.#..##..#....#.#.#.########.##.######.###...###.##..###..##.#..###.#.########..#.###.#.#.#.#.##.......####..#.##....#.##.....#..#..#.######.#.#.######.###.###...#..#..#.#.#..#.#.#...#...##.####.##.#..###..#...##.##.......#.###.#.#.#....######.#.###.#.....###.#.#.##...#.##.#.....###....###.###...##.####.####.#.##..##.######.##......#...#....#.##.#.##...##..#..####.#.####.#.#.##.##...###.##.###..####.##.####.##.#.####.##.########.###.#.##.#...#######.........#.#......##......#####.####...#.#.####.##.#......##..########.#.#..##.#.##..#..##..##.#####.#.##.###.#..#.#.##.##.##.#..#####.#..##...##..###.#.#.....##.#......###...##.#...##.#.####.#.#.##.##.######..##.##..#.#.#.#......##.##.##
#..#.#.##....######.##..#...#.#.#..##.##..###...###.##.....#####.###.##.###.#....#..#...##..##.####.##.##.#.....#####....#.#..#..##.#..#####.######.##....###..###.##.........###...##.#.#..#..#..#.#.#.......#.#..##.....#.#.#.#.#.##.###.##.#.#.#.##########..#.##.##..##.####........###.#.#.##..#......###.##...###..##.##..##.....#.#.##.#.##....##...#.#.#.########.##.##.#..###.##..#####.#.###...###.##.#.#.#.#.#........##.###...##.#.##...#.###.#.#.####..#.#####...##.#.###...#######.#.##....#.#.#####.##....#.#########...########.#.##.#####.##..##..#######.##..#....#.#....##.###..##..###..###.#######.###..#.#..###.###.#.##....#.#.#....####.####.##..##.#.##..#.#..#.##.#...........##..##.##.####.........###...#.#.#######.#.##.#.#..###.#.##.#...#.####.#...#.#..#..#.####.###.#..........##.##....##...##..##...#.#........##.##.....#...#.#....####...#.##..#.##.####.#.###.###..######.#.###.#####.##....#.#......#..##.##.##..##..###.......##.#####......#
######..####...##.#.###.###.#.#.##.##.##.######......##########.........#...####.##.##.####..........#.#....###.#...#########.#.###.#####..#.#...########.#.#####..########.#.#...#....#.##.##.#.#######.#.#.##.##.######.#.#.......##.#.#.##.#.#....##.##.#.#.##.....##.##..##..##.###..........##.######......###.#.##.##....#######...#.#.....###.####.##...#.#.#............##.#.#..##.#.......#.###................##.####.#####.###.##.#..###...#.#######.###...#.##..###.....##.###.#.###....####.......##...####.#.##.#.##...####.#.............##..##.#..##.##..#..#######.#.####.#..#.##..#.##...######.##....#.##.#.#.###........#####.#.#.####..##...##...##..#...##.##.#.##.#..#######.#.#..##.##.#...#.##.#.#.####.###.#.####......######.##...#.####.###....#.#.###.#.#.##.####......#.##########.#..##.######.##..#####.#.#.####.#.#..######.###...##.####.###.#..##.#..#.##.#....##...##.#.#.......##..###...#.#.##.######.##....#..###.###.#...#######...#....#.##.#
#.#.#..##..###.#....#...#.......##.##....##.#.#####.####........#.#.#.#...#.#..###.....#.###########.#.####..######.#....##.......#.#.#.##.#.###..##........###.##..##.#....####.#####...#...#.###.###.#####........#.#.....###.#.#........##.#.###.##..#..#....#.#.#.#..##.######..###########.##...##..####.#...#...##.###.###.#.#####.#.#####.....#.#...###.#.#.######.#.###.#......##....#####.#..#######.#.#####.########...#.#...........##.#.#...##.#.#...####....##...##.##....##....#.###.##..#####.###..#..............######.#.####.#.#.####..##.#..##.#..###.#.####..#.....##..#.##.###.#..#####..##...#.##........#.#.########.#.#.....#.##.##..#.###..#####.###.##....#..#.#.##..#....####.....#.###.#.####.###.##..##.#.##.######....##..####....##...#..##...#.##..#.#..#.#.#######.#.##.#..##...##.##.#.##.#..##.##.##.#.#....#.#.##....###.#...###....#..#.#.##..####....#.#.#######......##.###.###.##.##.####.#..##.....#####.#.##.#.#.....#...#..####...#.####..#
#.#.######.#.#.####.###.######.##...####.##....##....#.######.#.#.######.#####.##..#.#...#.##......#.#.####.##.###..###.########.##.....#......##..########.#......###.####...####.#####.###...##...#..##....###.#.##.###.###...#.########.##.#...#..##.##.###.######.##.....##..####.###.###...####..#.##.######.#.###...######...#.##......#.####.##.##.####.....##.#.######..####.###########.#.##.#..##.#####.#....##.##.###...###.###.###.##.####.##..#.###.#.###.#####.###..####.##.##.#.##...##.#####...##.##.###.##.####.##.#.#........#.#....##..######....##......#.##.###.#####.#.....#..#.##..#..#####.########.####....##........#####.#.#..###.#...##.#.##..#.#.##.####.##....##.#############.........#.#...##..##.#.....#.#......#.####..####.#..###.#######.#..##.#.#.##.#..##.#...#.##.##....#..#.#.......#.##...#.#....#.############.#...###.#.#.####.##.#.###..#.###.##.#.#.##.#######.#####..#.#.##.##...##.#.#######..###.....#.#.###.#######.##.##.###..######
#...###.#...........#.#.........###.###...####..##.#..........###.##.....#.#.#....######....######...#.#........#..##...#.#.#.#...#####.######.##.##.###....######.#........###.......#......#..###...######.#...#..#.#.#...#########.####.##.###.#.##.....##...##.##....###.#..##.#..#.....#.#..####.#.##...##.#.#.#.###.#.#..###.#.#..####...##....#.#..##.##.#####.#.##.#.##.##.#..##...###.#.####.##.#...#.#..####..#.#..####.##...#####....#.##.#..##.#.##....#...##....#.#.###########.#.#..###..#.....#..########.#####......#.####.##############..##....##..######......#.#.#..##...#.###.##.###.##..#.....#.#..##..##..#.##..#.###.##.......##.#.#...###..#.#..##.#.#...##...##.###...#..##.#.##.#######.#.....#..#.##..###.#.#.##.#.#.#########.####.###..#.#.#.#.#.###.#.#..#.##..#.##.##.#..#####.##.....####.##..##.##.####....##.#.##.##..###.###.#.#..#...##.#.#.#.##.##...#.#....#.#.#.###...#.##.#.#.##.##.#.##....##.##..##.###.###...#.#.#....##.##.#....##.#.#.##
###.......#.#.#####.....##.##.#...#.#.##.##.#..########.#######...##.###.....######.#.#####.#.#.####.#.########...#####.#.#...###.##..#..##..........#.####.###......##.##.##...#.###...#.#.###.....#.#..##..######.......####.#.#.............#.....###.#....#....#####...####.#..##.#####.###.##.##....#.#...........#..#.#.##.......###.#.#....##.....##......##...#.#........#.##.#..###.#.#..##.....##.##.##.##.##.#.#.##....####.#..#..##......#.##..#..####.##.######.#.#.##...##.#.#...##.#.##.####.#######......#.....#.##....########.##...##.##..########..#.....#.##.#.#.#.##..###..#..##..#..###.###.#...##.##.####.####.######.####.###.##...##.##.##...##........####.####.#.###...##.......#.....#######.##....##..####.#..#####.#..##.......##...##...........#.#.#.##...##.##..#.#..##..##.###..#.#.#.##.##.###......##.#.##..#.##.###.##..#.......##.###....#.#.##....#.#.#.##...#.#.#.###.#....#...##.#..#..###.##..###..#.#....##.###.....####...#...#######.#..#
#...##.########.#.###.#.#..##.###.#.#.##.##.#.##..#.#####.#..#..#########.##.##.##..............#.##...##.###.###.##.#..#.###..#...##...####.##.#.##.....##...################.##.###.#.#####...###.###.##..#####.#######..##......##.##.#####.#####.######.#.##.#..##.#.####.#.##.#..#.###..#......#.#.#######.#.#.##.##.#...######.###.#.####.#.#..#.#..###.#######.#.########....#.#.##.#.#.##.###.##.##.#..##.##.#....#..####..###.##...####.###.#..##...##.##..#.#.##...#......###..#...#......#..#......###.########.#.#######.#....##.....###.#..###.....#..##...###.####.#.#.#..####...##.####.##.#.#.#######.#......##...#.###....#..#.####...###..#.....###....##.######....#.#.#...###.###.#.##...#.#..#.#..#.#..##..##..##....###.#####..#.#####..#.############.#.....#..##.##..###.....####....##..######.#.....##..##.######..#.##.##.#....##...#######....##.#.....####.####....#.###.....##..#.##...###....###.#....##...##...##.####.#...#####.###.##.#####..##.#.##
###########...........#.####..##...............##.#.#.##..##.######....####.....##.############.#....#........#...##.##....###.###..###.#..#############.####....###..##.##..######.#####.....#.##...#..#..###............########.#...###......##.#.#.##.#########......#.#..#.##.##.#.#.##.######.###.#.##.##.######.#....###.######......#.###########.....#.##.......##......##...#.##.#.#.##...###...#.#.##..#..####.#.##..##...#.####.##...##..#.##..####.###......###...######.##.##########.##.####.###...##.#.########.#..######..####.##...#.##.#####...###########..........##..###.#...##..##.#.....##.##.#####.##..###..#####.##.#.##...#..###...##########..#......####...#.##.##....########.##.##.#.##.####.###.#..######.##..#.#.#.####.#.##....##.....##.###.#.#...##...##...#####.#..###.####.##..##.##.######..####...##.......#.###.#####..###....##.##.#####..###...##.####.###.###..##.######.####.###.#####.##..######.##.###..#.####.....#...#.##....###....#
#.###.#...##.##.#.#.#.######.##..#.###.#.##.##..#.#....##......##.####.#.######.####.#####..##..##.####.#.###.##.##...####.#.#.##..##.....##..#..#.###......###.##.##.#...##.#..#...##.######.######.##.#.##.#.#.#.##.###..#..##.####.###..###.###.#.#.##...##.##.###.##...##.#..#.##.#...##.##.....##..#.##.#..#..##....##..##.#...#######...##...##.#.###.###..######.#############.#.#....#.#..#..#..#......##.##.#.#.....#.##..#####.###########.#..##.##....######.##.###..#.##...#.#..##.......#..#.#..####.#......##.##..##..##.###.###...###.#.##.......#####.##...###.#.###.###..##.....###..##..###.###..............##...##.#.#.##.#.#######...###....##.#.#..###.#.####.##.##.##..###.##..##.#######.......######.#.##..##.##.##.##.#....##....#..#.######.##......####.####.##..###..#....###.....#####.#.....####.##..#.#.#####.##.###.###.#.#.#.##.#.########.#..#..##.#.###...#####.###...##...##....#.#...##..##...##.####.........##.#....##.####.#......#.##.###.##
#.#.#...#....######.#.#......###.##########..##...#.##########....##.#.#....#.....#..#...##....######.#####...#...##.###..........#######..##.##.#.#.##.#.#..##.#..##.###..#.##.#.#.......#######.#.....####.##########.##.#.##..##.###.####...##....#....#.#...#.#...####....##........####..#####.###.#......###....##.###..#...#.#.#.#####.####.#........###.##..#....##.##........#.####.....###...######.##.......####.##..##.##.##..###.#......#.##...###.##......#..##..##.##.###.##..#######.#.##.##..##..##.###.##.#..####........#.###.#.#.#.########.#.##...###.#.#.#####..###.#####.##.##....###..#.########.#.#.#....####.....#.....##.#.###.#.#.####..#.#.##########..##.....#.##.#.#..##....##....#.###...##........###.#..##.##.###.####.#.#.##.#.##...#######..#.#.####.###...##.##.###.#.###.####..###.#....#.##.##.#...##..######.#.#.#.....#....#..#.#.####.##..#.#.#.##.##.##...####.####.#..##.#.###..##.###.##...#.###.#.##.##..#.#.###..##..#.#########...#..#
#.#.##.#######.#..#.###.#.#.##.###......#...##..#......#.##.####.##......##.#####.##.###.#####.##.#...##.####.###....#.##########....###..###.#....#.#######..#.##..#.####....#.#########...##....#####.##.#..#.#.##.#.....#.#..##...##.##...#..##.#.#.########.#.#.#..######.#########..##..##.........###########.#.####.##.#.###.#...#......##..##.#####...#..##.####.##....######.#.#.#..#.#.#...###.......####.##.#.#..##.##..#...##...#.######....###..##.##.####.##.###.##.##..##.#..##............#..####..###.#.##.#.###...###.##...##.........#.###.....####.#.#.#.###.....##...#.#.#.##..####...##.#..##.####.###.##.#....#####.####.##..#..#..#.#....##...#...#.####.##.#..###.#.##.#.##..####..########...########.##.#.#.#.###.##.#.....####.###.....##.##....#####....##....###.#...#..##...#####.#..##.###.####.#..##.#.#####.#.#..#.#...#.#.#...####.##.#..##...##.....#.##.#...###..##...#.#.##.#..#.##..##..#.#..##.##.########..##...#.#.##.#..##....###..##.##.##
#.#.#####........##.#...###.##.....##.#...#.#..####.####....#.#...#########.###.............#...#.###.#.........####.#.##.#..#.#..####.##.#.#.####.#.#.#.#.##.#.#..##.#..####.#.##.##...###.#####.###.#.#....##.#....#.#.#.#.##....#..#..#.###.##..#.#....###...#.######.##.#.#.##.#####..##.#######.##...###.#.#.#####.#..#......#.###.#####.####.##########.##.##.#.##..#.#######.......#########.##...#####.######......###..##.##.#####.#.##..####.####.##...#.#.....#.#....#.#..###.##..##.#.#.##.##.#.###.##.##....##.#.#.#####...##.#.#..###.###.#.#.###.#......#.......#####..###........##..##..###....##.....##########.######.........##.##.##.#...#######.#.###..#.#.#..#.######.##...##.##....##.#.#.####.#.##.#.###............##...#####.#..#####.###..#####.#...####.#..#.##.#.##.##.#####.#.##..##.#..##..#.##...###.#...#.#.#.#.##...########.#####.##.#.###.#..####.##.##...###.##.###.##....####....##..##.....###..#.#...###..##..#####..#...#####.##.##.#...#..#
#.#..##.######.#..########..####.#######.##.#####......####.#.###..##..##.....##.#######.##.#.#...#.#.######.##.####.#.#..##.#.##.#.#..#..#.#.##...#..............##....###.#.#.##..###..##.#.#.#.......####.##.####.#.###....#######.#.#####...####.#.####.###....#.##.........##.#..###.....##...######.........##.#..##.###.#.#####.....##.......###....##.##....#.#..##.####..###.###...#.#.#...####.#..........##.###.....###.##..##......#.##....##...##.#########...####.#...###...##..##########....#...##.#####.##...#.#..####.####...####.#........##.##.###.######.##...##...####.##.####..##...####..#####..##.##......#.#.####.##.#.....#.#..###...#.#...#...##.#.#.##.#....###..#.###...####...............##.......#.#.#.##.#..###..##...##.#.......##..##.....###.#..##.#....#.##.##..##.#...###.##.##.#..##..###.#.....#.#.#.#.#..###..#.#.....##.......#.#.####..##..#.....#..##..#..##.###.####.####.##.####.##...##...##.##...####..#.###...#########...#.##.##.##
#.##.#..#..##..##..##..#.####....#.......#..##....##.###.#.....###....##..#.#..###.....###..#####.........#####.#..#.#.#.##....##.#.##.##.#.#..###.###.#.#.##.###.###.###........#.##...###.#.#.#######.#.#..........####..##.##.##......##.###..##.....#.#..##.##...##########.#..##.....#.#..###..#.#.#######.#....##.#......#.#.#.#####..##.###.##.####.....####.#.#.#####..##..########.#.#.###.#....##.#.###.#########.##...#.#..####.###...###.#..##.##..#.##.#..###.#.#....#.#.##.####..#......#####.#.####.#.##...###...##.#.####.#..#.#....#.######....######.##........#....###.####....###..#.###..##.#.####.#..###.###.#.#.##.##########...##.....###.###.#.###..#.#.#....####.##.#...###.##.############.##.##.#.##.#########.##..###.###.##..######.####..#####.##..#.##..####...##.##.##..#.###....#....##.##.##.#...#######.#.#...##.##...#####.#####.####...##.##....##.###.#.##..##.##...##.###...........#.#..#.###..#.....###..#.#.##.#.###....##.####.##.##..#.##
#.##.##.##.##.###.####....#############.##.####.#.#....#.#####...####..#######.#####.######..#.##########..##.#.##.#.#.#.#####.......#.#..#.##.#.#..###########...#.#.#.####.###.#.####.##........#.##....##########..##..##..#..#####.###...###..###.###.#.######.#..#.#.....#.##.###########...##.#.#.##....######.#....#.#.##...#.#...#.#####.#..#..#.####.####....#.#..##.##..##.##.#.#.......####.##########..##.#.....####.#.##...########..#####.....##...##.#.##...#.#.#.####.##.##.##...#.##..........##..#..##.####.#..#....#...#######.######..###.#.#....#.#############.##.#.#.#..####.##.....#.##..#.#.#....##.#.#.......##..#.#..#.####.#..###.##..##..#.#.##.#.#.##.###.##.##.##.##......###.##.##.####.....#..###.#.#.#.#####.#....##..##.##.#....#.##.#.##...##.#..#.##....#..#.##..##.#.######.####.#.....##.#.###.#.##..#...#.##..#.###..#...##.....##.###..#####......#######.##..#.###....#.#.####.##.....##...####.#####.#.##.#....#.....##.#..#.##.#...##.#..#
#.#...#.#..####.#..##..####.##...#####..#.....########.#.#.###.#..#.##..#####....#.#..##.###.#....##.#..##.#...........#..#..#######.....##.##...##...#.##..#####...#.#.#.#####............#.##.#...#####...##.#.#...##..####.##..##...#.###.....##.#.#......##..####...#.#.#......#..#.##.#.###.#.......####.###..#.###.#########.#.###.#.#.##..##.##.#.###...#.####.#.#.##...##.##.##...####.####..#####.#.##.#.###.#######.##.#.##.###.##.....##.#.####.##..#.#.....#.#...#.###.##..#.#..##.######.#.#.####..##.##.##.##.####.####.###.###.#.#.#....##.....######....####.#.##.#...#.#.#.#.#####..###.#....##.#.#.##.#.##.########.##..##.##...#.##.####....##.###.....##.#.#.##.###.#..##.#..####.####.#.#..#..#.#..##.#####...#.....##.#..###.##..##...#.###.##..#.#.####.#..#.#######.###.#..#.##..#....##...##..#####.##.#.#.#.#.###...#.#####...#.##.###..##.####..#.##.#.#.##.#####..#.#..###.......#########....##.#.#######.....##.....##.#.####.##.######...##.#.###..##.#
#.###...##.#.#....####..##...##.##.....#########.#.##......#.####....##.#.#.##.#.....##......####.#..##.#..######.####.##.#.###.###..#.#....####....###..##.#.#.###.#.#.#..##.######.##.#.#########.#.#...#....#.###.######...##.#####...#.###.#....#.#.##.#.###..#.###.###.##.###.##.#.##.#..#..######.##.##.#.##.#..####.#.#.###.#.##..#.#..##.......#.#.###.#.#.##........###...#..###.###..#.###.....................#.##..........##.##.#.#..#.#.##....#.#######.######.#..#..#..##...######.#.#.#####.###.#...#.##..#.##....#.#.##....#...######.#..##.###.#.#.##.........#.###.#.#.....##..##..#######.#..#...####.##.##.#......##.##.####.#..#...#####..#.#...######.#...#....#.##.#..##...##..##..#.##.#.##...##..##..###.#####..#.##......##..###.#.##..###.....#.#..##....##.##..#...#.##.##.##.####..#####.#.#...#...........###.#####.####...##...#.###....##....#.#...##.....##...##.#.###.###....##.#.##.########..##.#####..####.##....#.....#....#.#.####.#.####.##.#
#.#####.##...####.#.#..##..###..#..##.###.###.........####...##.####.#....#..#######.#######.#.##.#.###.##.##.#.###.........##..#...##.###.##..####.#.##..#......##.....##.#..##.....#######...#.#....########.#.#.....##.###.#........#.#.#.####.#...#.######.##...###.##...###......#.#..##.##.#.##............#.#.##.##.#.#.#......##...##..#######.....##.......##.#####.#.###...##...#.##.#..####################.#.#.########.##.#...######.#.#....##...#.##.....##......##.##.####.##..##....#.#......##.#.#...###.#..####......####.###..##......#####.....######.#.###.........#####..##.###...#.#.#.##.#.###.##..#.##...###.##.....#.#..##.##.##.#...##.###.#..##....#.#.####.#....##..#.###.###.#.#....########.###..#...#.#..##.#..#.##....##.#......##.####.##.##....####...##.###....#.#..##.#..##.#.##..#.###.###.####.#.##...#.##..#..##.#####.#.#.#.####..##.#.###.#..###.##.###....##..####.###..#.#.........##.##.#.####..##...####...#####.#.##.#..##.......#.##.#
#.#.###.####........##.###.#.##.#####.#...#.###.########...#.....###.####.#.###.##...#.#####.#.#..#.##..#..#..#..##########..##...#.#..###.###..#.#.#..##.##.#.#..#####......##..#####.#.#.#.#...##.#..#.##........##.##........########...#.##...#.#.....#.#..##.#......############.....##........#.#.#.######.....##.#......####.######..##.#.#..######.########.#####.#....#.#.#....#.#......##.######.#.#.##.##.#.#....#.##.....#####..#.#.....########.##..#.#.#..#####.###.#...#.#..##.#####.########.#..#####.....#.##..####.###.##.....##########.#######.##.....###...##.#.##.#.###.###...###.#.#.#.##...##...##.#..#######.###.##.#.##.##.#.....###.##.#.#.#.######.###...##...##..##.###.#.#.#.#.####....###.###.##.###.#.##.##.##########.##.###.##.#..####..#.#####.##...######...#.##...##..#.##....###...#.#.#.#....#######.##..##.##.#....##....#.....##.###.#.#.....######...#####..##.#.####.##...##.########...#.#.#....##..###..#.###..#######.#.####.######.#..#
#.....#.#.####.##.#....#.#.#.##.#.#.#####.#.##..#.####.#########.#.#.#.......#...###.......#.#.##...###.##.##.##..##...#....##..#####.##.....##.#.#.##..#.#######.#.####.#.#.#####.###.#.#.#####.#..##...####.#.##.#...#######.##.....####.#..##.######.###.#.##########.#.##...#.##..#.#..######.##########..###.##.##.######..#....##.###..#...##.#.###........#...##.#.####...########.####.###..#..........#...#.######.#..###.#..##.##...####.###.#......##.######.#..#....#...###.##.##..#.##.##.#.....#.#######.##.#..#.###.#.#.#.#..#.#.#.##..###..#..##...####################.#.#.#.##..#.#.....#.#.##.######......##........####..........#####.##..##.#.#.#.##..#...##.######.#..##..##..#.....#.#.##.####.#.##...........##.#...##.##.##..##.######.#.##....##..#.##..##.##..#######.####.##.##.####.##.###.........#####.####.##.##..##.##.#######...#.######.#...#####.....####...##..##......##..###.##..###...###.#.#.####..##.#.##...##..##...#.#.#.##.......##.#.##
##.##.#.#.#.#..#######.....#.##......##........##........#..##.......#######.##.##.#######......###...#.#........#####.####..#####..######.####.#.#.###....##.#..........#.#.#.###.#.#.#.#..##.#.######.##.##.######.#..###....#..###......##.####.#.#.........#.#.##.#.....###....##.####.........##..#.#.##.#.####.##...#####.####....#.##.###........#.##.###.###..#.#.##.###.##.#.#...#.....###.##########.###.#.##.....##.###.##.##....###.#..##..#####.##...##..#.##...####.####......##.#.##.##...###.#..#.#.####..#.##.##......#.######.#.##.##.##...##..#...#.#.##....#..#.#.#.#......##.#######...#.##...##.##.###..########.#.##.#.######..###...##...........##.###.....#.######..##..##.#####...#.##..##..#.##.#########.##.#.###..#...##....#.##...#.#####..##....##.#...##.#.#..##.#.##.#...#.#.#..##.###########.#.#....##......##.........##.##.#####..##..##.##.....#####....#####....########.##..##.##.##.##.#.#.#.#..##.#..#.###.####....###.#.#.#####.####..#.##
#####.#.#...####..##.###.#....######....#.#.########.###.##.########..#####.....##.#.#.##..####.#...#.#.########.##.#..#.###.#.#...####......#.......###.#......##.#.##.####...........#.#.##......##.#.#...###..#####.##.###.###.####.#.#.....##..#.####.##.###........##.##.##.#..####.######.##..##.#.#.#.....##...###..........####.#..#.##..#.####.####.#.....##.#...##.##..##.#.###.####.##...##.#.......#.#....#####.#..#.###...##.###.#.##..##..#.##..###..##...####.#.##..##..#######.#.#...#####.#...##.#....##.#.#...##.#.#...#.#.#.......##....#..######......####.##.#.#...######..#..##...###...##.####.####...##.#......#.##.####.....##...#######.#########.##..#.#.#.#.###..####.##.#.#####...##.##..##..###.#..............##.###.##.##......#....#.#..######..#...####...##.#..#.#..#.###.#.##..#.#..#.#.###......####..##.#..###.####.##..##.##.###.###.##.######..##.###.####.###.###.##.#...##.#...#.##.##.#.#.#.#.##..##.#..##..##..####.#.#....##....#.##....#
#.......#.###.#..###..######.##..##..####.#####.#.#####...#..##.##.#.##.....#.#.........#.##....#####.......#.....#.##.#.#.....#.####.######.#######...####.##.#####..###....#########.....#######........#...##.#.##..#........###.#########.###.##.##...########.#.##..###...###.###...#########.##....#.#####..###...#####.##.####.#.##.#.#####.#....##.#####.#..#.##.##..###.##...##..##.#.##.###..#######.#.###.##.....##.#..####.#...##.#.#..####...##.####.#####...........####..##.#.#.#.#.###.##..###..#.###.##..#.###..###.#.#.#.#...#####.####.##.##.#.#..####.............#....#...##.####.######.##..#.#..###.#..#.######...####....#.#..###..##.....#.#.#..#..##.######.#...##.#.#..##...#...#.#.....##.##.###..##.###.#######.##......#####.#.#.#.##...##..##..##.#.###..###.#..##.#.##.#.#.#.#.###.#.##.......##.######...######.#...#....#..##..#...##..##.....##.###..#..#..##.#.#...##...#.###.#..##.##..#.##.#.#.#.#..##.#..#.###.####....#.....##.##.##...##.####
#######....##.##.#.##...##....##..##########....#.#.#.#.#...##.....#.######.###########...###.#..#.#..#.###.#####.#.#......###.#.#.#..#.###....######.##....#..##....#########...#.#.#####..##.#.###.##.#.##.##..#.###.####.#.####...####.#.#.##......###.#.##...#######..####.##....#.#......#.....####.#.##.#..##.###.#.#.####..##..........#.#######.##..##.####...##....##.#.####.###..#.#.##..#..###...#.........###.#......##.##.##.###.#.##...##.#..#.##.......#######.######...###...........#.#..##...##.##...##.#.....###..###...#.###......#.####........##..#######.#.#.#.####.###.#...##..##.#.#..##.#.#.##.####...#....###..##..#.#####.#.##..#####.#.#...##.##....#.#..###.#....##.####.###.#.##.##.#..##.##..##########.......#####.####...#.######.#....##..##..#...##..#..##.#....##.......#.#.#.#..#######.##.#..#.###.#.##.########.#...####.#.###..##..#.#....#.#.##.##.##..#.#.###..###.##....###.##.##..#.#.#.#...##..##.#.#....#.##.###.############.####.##.#
#..#..####.##....#..###..####..##.###...##.####...#.#.#####.######...#.#.########...#...#..#####.....####...#.#.......#.######.#.#.##.#.#.####.....##..##.##########.##...######.#...#.#.##..........##.#.#...##.........######....#...#.........####...#.#.#..####.#..##..##..#..#.#####.###.####.##.##.#.##.#.##....#.#.#.##.##.####.#.####.#.#.#.#...#..##..##.###.#####.##........#.##.#.#..##.##...###...##.#.##.#.######.#....#.....##.....#.###..##.#.####.#.#..##.....##.#.###...##########.##.##.####.#..####.##.#####...#####..###########.##.##.##.#####..##......##.#.#####....#.....#####.##.....##..#.#.#..##.###...##.....####.###.#...#.###.##..#.#.#.####.####.##.#.###..####.#...##..##..######..##.##....##..#..##.####.##..##....#.###.####.#...####..##..##.#.#####.##..#.###.####.###.##.#.#...##..........#.##.##........##....#####.#.#....#.##..#.#######......#.##.#..##.#.#.##..#..####.##...#...##.#.....###.##.##......####.##...#.....#.##.#....#......#
##.#.##.##.#####.#.##.#.##.##.##..#.###.##.##.###......####..####..#.....#.##.#.###.#####.##.....#.########...####.#.##.#...............#.#.#####.###.######.#..###..####........###........######.#.#..#.#.#..###.#####.#.#.#####.###.####.###########.#.#.#.####..##.##.####.####.#.##..#.........#.##.........####.#.#.#..#.........######.#.#...###.##..#.##.......##....####.###....#.#...##...###..##.########.....#.########.##.##..#####.......##.....#.###.##..#####.......##.###..#.##....##....#.#....##.##.#.....##.###.##..###.##.#...#.##.#..####.....####.###.####.#..#..##.#####.#.#.#..###.#####...#.#.##..#.#####..###..#.#####.###.#.#.#.###........#.#..##..#..#.#.##.##.....#####.###..##.###.#..#####.###.##.#..#....#..#####.##...#.#..#.#####.##.##..##....#.##.....##......#.#####.##.#.##.##########.###..#..###.#######.#.##.....#.##.###.##.####.##....####...##.#.###.#.#..##.#.##.##..##.##.###..#####.##..#..##.##.#...##..##.##.###...##.##.###.######
#..........#.#.#...##.#.##.....##.#.##........########..#.#.##..##.##.##...................####.####..#...#.#..#...#########.#.#.##.###.....#.#...#.#...##...##.#.####..########...####.#.###......#.#########.########.........######.##...#..................#.##.##.##..#.#.###..#.###.####.##.#.#.##.#.####.##....#.#.##.########.###.......###.#....##...####.###..####.#.####...##.....#.####..###.#####.######.##.#.#.##.###.#####.##..###############.#..#####.##.....########...##.#.###.#.#####...#.##.##.##.####.##...##.#..##...##.#.#...##.##.#.###.##...####.....#####.####...##.......##.##....##..#...#.###...##.#####.#.##.###...............####.#####.##..##.#.##.#.##..#####..#.#...#..###.#.#.##..###.........##...#.###..##...##.######.....##.....###..####.#.#####.#####.##....##......#.##.##.#.#.##..##..##.##.#....##.#.########...#...##..#..##..###.###..###.#....##......##..#.##.#..##..#..#.##.##..#..##.##..#..#.#.#####.##..#.#.#####......##.#.####
##########.#.#.#.#......######.##...#########.#.##.####.#.#..##.#...#######.#.##.##.#.#######...#.###...#...##...#.##.##.....#####..##..#.#.#.###.#...######..#...#.##.##.###....#..##..########.#.######..#.#........#.#######..##....########.##.#.##.#.#.####..#..#.##.##...#.##....####.#######...######....###.#...#.##.#.#...####.##.#.##.#.#...##....###..####..##.##.#.#.###########.###....##.#..##.#.#.#.#####...#..#.#....##.#..##.#.##.##.##........##.#.#..#####..#...#.#.####.....###.#.#.#.######.#..#...#...#..#..#.##.##.####.###.#..#.##.......######.##.###.#.#.#.######..####.####...##.########.##..####.#....##.....#...#######.#.###.#..#....#.##..##.##.#....#.##.###.##.##.###.##............##...#.#####..##########.####.##.#.##.#####.######.#.##.#.##...#.#....##...##.##.###.###.......#.#.#.#..####..#..#...#.###.#..##...####...#.###.##....##.###...##.#.##.###..#.#####.##..#.##..##...##.#...##.##.##.###...#######.#..##.##.....####.#####.......#
#.#.#.###......#######.##....#.##.###.###.......#...........##..#####...################......#.#..####.##.####.##.##....######.###..##.###.#.###.###..##..##.###.#.#..##.....##.##..######..########...##.#...##.###...####.###..####..........###########..#.##.##.#.##.####.#.#..####.#....#.#####.#.#.#..##...#####...##...#.#...#...###.#....#######.#.##..##..##.........#..##.#.##.##.######.##...##......#.#.##..#.##.#.####.#....##...........########......#.##.#.##...###.#.#..#.#.#..#.........#.#...##.###.###.#####...##....##.#.##..##....####.####.###...###.#...#.#........##.##.#..###.#....##.#....##..#.#.##.###..###.#.###.......#.##..##...##.#.#..##...#...#.##.#..#.#........#..######.#####.##..#.###.#...#####.#.#.#.#............##................#.###.##.##.#..##.##..####.#.###.##.##.#.#.#...##.###.#.##.###.#.#...#####.#.#..#####....####..#...###..........###.####.#..##.##.#..##..####.#.####.##.#....#.###.##..#.##..#.##.#####.##.....##.######
#.....#.#.###.####......####...##.#.#.#.#######.###########..##..##.###.#.##.##....#.#...#########.#.########.###..########.......####..###.#.#....##.####.#..#.#...##..####.#######...##...##.#..##..#..#.##############......##.#.#########.###.#.##.#.#..##.##.#........##..#.##....#.####.#.#..##...#.##..##.###....#####.######...#####.####.##....#.#....####..#########...##.......##.#.#.#..####.#######.#....####....#.##...#.##.###.#.#.###.##..#...######...##.#.##.####....#.#######.#####.###.#.##.##......##..###.###.#####.##.#..########....#.###......#..##...#.....#.##.#.......#.##.#.#.#####.####.##.##.#.##.##..##......#######.#########.###....#.#####...#####....##.####.#.#...##..#######.#.###.####..###.##..#.#.#.#...#####.#.#.#######.##########.......##.#####..#####...#..###.#..####.....###..#.#...#....#####.###..##.#.#.##.....#.#.##....##.######.#.#.#.#..#...#.#.#.##..##.##..#.###.#....#.#.#....##.....#..##.#.###.#.....###..##.#####..#.#..#
##.##.#.###.#..#.##.##.##..###.##.#.#.#.##....#.###.#.######..##.##.#.#.......#.##.....#.#...........#.##.#.#.######.##.#.#####.####.####.#.#.###.##..#.##.##...###.###.##.###..##.###..###.##.##.#..###...#####.#........#.##............#...#........#.##.##.##.###.####..##.#.#..#.##.#........#####.#.######.#.####.#.#.#..##.####.#.#.###.....###.#####.#..##..##....#.####.###.####..#.#.#.#.##.....##..##.####...####.##.###.#####...########..###.##.##.##...#..#...#..##.####.#..##.#.#.##.####...#.##.###.#.#..##.#.#.....#.#....#...##.##..##.######.#########.#..#######.#.#####.##.#....#.#.....##........#.##.......######.#.###.#.#...#....##...#####.##..##.##.###.#####..#.#..#.#####..##.#.##........#.##.##.#....##.....#.###.#.....#.#.#.##.####.#.#......#####.....##.##..##...###.##...##.##.####.##...##.###.#.####.##....##..#.#.#....##.####.###.#.##..##.##########.##.###.#...##.###..##.......####.#.#.##.#####.####.##....#.#.#.#####.#.##....##..##.#.##
#..##...##..#.##.####.....##....#.#.#....####...#.#.#.....###.....#.#.######.#####.##.##.####.#.####.#.#......#.#.#..............##..###.............##..#.####.........##.####........##.......#.########.....#.############..##.#.###.#...#.########.........#..######.##........#####.########.##......#.##........#.#.#...##.....#.....#######.##...##.#.##..#.######....#.#..#####.##.#.#.#....#####..##.#....####...........#.#.#...####.......##.#..#.#...######.###.##..#.##...#.##.........#.#..#........######..#.#.#####.#.####...####.###.....#.##...##.###.#.##.###.#######.#.#########.#.##.#####.#.####.#..######.##....#.#..##...########.###.##......#.##...#......##.##.#.##.###.....###.#.##.###.######.....####..#####....####.##.######.#....#..#.############.#.#.......#####......###.####........###.##..#..#.##.#.#..#####.##.#...##..###.#..#.###.##.##...###.......##.#.#.###.#..#.#.##..###.####.#......####.#...###..####........##......#.######..#....#
#######..##....#.#.####.#.#####.#.#.####....###.#...#.#.###.#####.....#.#......#.####.#..###########.#.####.###.#.#######.######..##.....#.##.##.###.###....###.###.###.........######.########.....#.#.######.#.##.#....#.###..######..##.####........###.###.##.#..#.#.####.####.###.#.#........#######.#..####.###.....###..#####.#####.#..#.......####.#####.#.#.##.####...##..##.#....#.#.####..#..##.#..##.###.#####.####.#.....###..#.#######.##.##.....###.###.......##.#.####...######.#.#.#.##.#####.##..######.#....#.#.........#..##...#####.##..##.##.........#.#........#..#..#.#...##.#.#......######...#.##..#.#..###.#####.####.###..###.#.####.####....#.#...#######..#.#..#.##..###.##....####.#..##.######.###..##...###.##.#####.#.#.#....##.##.#............#######.#.#..##...######....##..######.#....##.#.##........##.#.#..#.#######..##.##...##......#.###.#######..#...#.##..##.#....##.#.###.#..###.#####.#.##.##.#.##..####.#.#....######..###...##.####
####....##..##.#.#.#.##.#..#.#.......######.#.#.###.###.##..###.####.##.##.##.##....####.#...#.##.........#.#.#.#...##..#####....##..###############...####.#.###.###################...##......###.#...............#.##.......###.#...##....###.#.#.#.##..##...#.##......#.####.#..#....########.#.#.##..#.##..#######.###.#.##.##..#.##..##.####.##.#.#..##......#.#..##.#.#....###.####...#..####.#.###.##....#.#.#.#.####.###.#.#.#.##.#.##..........#####.##..#.######.###....#.###.#..#######.#.####......##..#.#.#.####.#.#####.##.###....###.#...##.##...##.#####.###########.##.##...###.#....#.#########.###....##.#...##.#..##.#..##..#.##.......##.####...#######.####.##..##.#.##..#####...###.##.#..#.##...##........#####.#......#.#.#.#.#.####.#.....###.#.#.####..#..###.####..###..###.##.########.....###.##..#.#..#.######..#.#.##.##.##.##.....##.#####.##.....#..##...##...###.###.##.##.#.##....##.##..##...##..........#..##.##.#.########.##.#.##.###.#.....#
#..####..####......#..####.....#.#.###.##.#.....##..##...#.##...#.#......###..##.#####.#####.#.#..#.#.#.#.....#.###.##.##.....##..####.########.#..#.#####..#.##..##......##........###.#..###.##.....###.#.##.#.##....##.###.##...#.#########.#####.#.###.##.#....###.##...##.....##.#####............##....##.###...............##...###..#.#.####..#.#.##..#.##...##....####.####..##.###.##...##.......#..##...#.#.#.##....######....#.#..#########.##...#.##.##.#.###..##..#.##.#.#.#.##..##...#.#.#####.#####.#.#....##....#.#.#.#..#.####..#..###.....###.####.#.....#.######.....####.###.####.#..##..#.#..#.##.#..#.###.##.#.###.##.###.#.########.##..#.###.##.##........###....#....####.##.##....#.##...##.###########.#.##....#.##.......#.#...#####.##.##..######.#.##.##.####.##.#.#.##.#.#...#.###.###.#......##.....####....##.#.#.#...#....####.###...#.#####.##.##.##..######.##...##.#..####.##.####..##.##..#########.#####.##...#......#.##..##......##....#####
#.##..##...#######.#.###.#####.###...#.##.#.###.###....#...####.#.####.#..###.##..##.#..#.#......####.#####.#.......##..#.#.#####..##....#.##...##.#.#.#.##......####.#.#..########.###.####...###.####...#.#..#####.##########..#...#.......#.###...#...########.##.######.####.#..#..##.########.#.#....#.###.#.#######.##.####....#...##...#....##......########.####.#..#....#.##.#.......#.#.#..#####.##.#..#..........##...#.#####...#.##...####..####.#.#...#.#.#.##..####.##.#.#.#.###..###...#..###..##....#.####.###.#.....######..#.#.##.##.###.#.#....###.####.##......#####.#.#.......##....##..##.##.#.##.##.#.##.......##..##..##.#..###.#...###...........##.#.#####.#.##.#.#####......#####.#.##.#.##..##..#..##..#.####.##.########.#.#.###.##..#..######.#......#.##.##...##...#.##.#.#.###.#.#.#.#######.##..##.##..###.###.....###.#.####....#.##.##.#.#.###.....###..##....###.##....##.#..##....##....###..#.#.##....#.##..###.#.######.##.##..########.#####.#
#..##.####.#.#..#....##......#######.#.##.####......######..#.#.#.##.####..##.###..#.##.#.####.#.#.#####.##.##.####....#######.#..######.#..###.##...#.#..######.#..######.#.#.#.........#####.#...#....#.#.##.#...####.###.#######.#####.##.......#.######...........#.#.#..######.#.##....#...##.####.###.#.#.#.#.##..#.######..#####.#####.###.####.#######.#.##.##.####.####.#.#..#######...#######....########.#.##########.#..##...#....###.#....##......##.##.#.#.##.##.#..##.#.#...#.#.##.###.#.##.#.####.#...#.#...#..#.###.##...##...#.##.##..####.####.#.#.#....#######.#.....#.#####.#..####.##.###.##...#####...######.#####.###..#.#.##.#.#.#..########.######.###.#.#.###.....#.#..#.##..#.##...####.##.####.#.####.#...#######.............##.######..##....######.#.##.##.#.####.#.##...#.##..#.#.#..#.##.#.###..###..##.#.#.#.#######.#.#..####...##.##.#.#..######..##.####.###...##.####..##.#..########.#...##.#..##.#.#.###..##........#.#..##.##.#.#.#..###...#
##.##.#......##.####.##.###.####.......##..#.###.##.#...###.......##.##.#.##....##.#.#..#.###..###..........#####...##.#.#.#.#.##.#.#.##.#.##......#.....##..#.#...##..........####.####.#..##.###.####.#.######.#....#.........##..##....#..###.#.###....#######.#.#.#.#.#.##........###.#.#.###..##.#.#.....#.#.#..##.###.#..##.###.#..#.#......##.#.##..#.....#..##.##.#...##...#.##...#.###..##.#.####.#.##..######...##.###.##.#########..#..####....#.##....##.#...#..##.##..#.#.##.##...##.###....#.####.#####.#.###.##.#####.##.######.#..#.#..##.#...###...#.####.#...##....###...###.####.##.#....#.#.##.###.#.##.##.#....###...#.##.#.#..#.#.#.##.............##...##.#.#..#..#.###.##.#####....###.#.#..##.#.#..#.##...##.##...###.##########.##...##....######..........#.....#..#.#.#..##.##..##.#.#.##........#.#.####.###...#.#.##..#.....#.##....#..#.##.#.#.##..##..##...##....#.#.#..##.#.##..##...##.##..#.###..#.#####.#..###....########.#.##.........##.....###
#..##.####.####...#...###....#.#####.#.###...###.######...###.###.........###.#.#......##.#.####...##########.#.#####..........##.#.#.......#########.##..##.#.##.#######.##.#......#......###.###.#....#.###....#.##...##.##.#....#########.##..#.####.#...###.#####.....#..#.#.###.##.#.#.......##..#####.#.......##..##....#####.....##.####.#.......##.#####.##.#..##.###....#....###.#..###.##.#.#....#.#..##...#..#.##.........#..#.####.#.##....##.#######.##.###.##.##.#..##.#.....##.###...####....#.#.#.......#.#..#.##.........##...#.##.##.##...###.###.#.##.#.###..###.##...#......#....#.##.#.#.#.#....#.#....#..####.#.###.#.#..#.#.##...#..##.###.#####.###.####...##.#.####.#..#.###.###.##.....##..#...##....###.##.#..###.###.##..##.#..###..####.##.....####.###...######.......###.###.##.#.#..######.#............###......##...#.###.##.#.###....#.#.#..##.###..##.######.#.####.#..#.#..###.###..###.#...##.#.##.##.##..##.####....##.....#.##.#######.#####.#
##..........#.###.###.######....###..#.#.##.##.###.#.##.#.....#...#.#.###...#.#####.##.#..#.#.#..###.##.##.##...##....#.#.####.##...#####.#......##.#####.##.#.##.##.#.##########.#.#.####.#.###.#.##.#.###...##.###..############.#.##.##.#####.###.######.....##....###...#######...#.######.#.####.###...##.#.##..##..####.#.##..###.#..##.#########..#.#.##.......##..##..##.#.#.##.#.##.#.#..#...####.#.##.####.##.#..#####.#.#...##....#.#.###.########.#......#.#.#..##.##.##.##.#####.#.###.#######.#.#.#.#####.#.#.############.##..#...##.#...###.#.#.##....#....####.#.#############.####.#..###.....#.####.####.##.##...#.#.#...##.#.#.#..##########..#.......#.#.#..#.##...#.#..#.####.#..#...#####..##.###..##.####..#....##.#.##...##..#.##..##.##.#...#########..##..#.##.....#.#.###...#.#..#.#...###.########.#########...#.#.##..#######.######.##.###.#...###..#..##....##.#....##..##.#.##.....#.#.##...#.###..#.##.#...##.......#.####..#####.####...##..###.#.#
#..#.#####.##..............###.##.####.#.#..##.##.....#############.#.#####....#.####..##.#.#.#.###...#.#...###....########.##....#.##.####.####.##..#.##.##.#..#.##.#.#.#.##...#####.###..#..##.##################..###.###.##....#.#.....###.#####....#######..##.#..##.#..##.#...###..##....#.##...#.###.########..##.#.......######.##.##.##........##.#..#####.#..##..#####.#.#.......#.#.##.#.#..#.#.#.#..#.#...####....#######.######.......####..##.#.##.###...#.#.##...#..#.##...##..#.#...............#.#.......#..###.........#######.##.##.##.......#####.####.#.##.#.##.##.#.#.##...#...##..##.###....###.##...#..####.#...#.#......#.#.##...##.#.#######.####.....#######...##.#..##..##.##.###.###.##...##.....#.##.###.###.#..##.####...##.##.....##.####.......###.######.#.####.#.###.#.#.##.###.##..#..#.##...###.###..#########.#..##...#.#.#.......#.##.##.##.##..####.#..###.###.##....######...#.####.#.#.##......###.###.##.#....#.#.###......####..#.##.#.#.#
####.##.#...##.##.##.#####......#.###....##.....#####.##.###.#.#.##.###.######....##..###.#.#.###.###.....#.#.##.#####.#.#...###.##.##..######.#..##.#....#..##...##.......#..####.##.#.##.#.##...##.#.#..####.##.####...#.#..######.####.##.#..##.##.###.##..##.#####..####.##.###.###.#####.#######...#####......##..#.######.##.#...........####.###.#..##.#.######..##.#...#######.###........####.#.....##.#.##.###.####..#####...##....#####.##.##..#.#.####.###.#.#..###.##....#.#####.#.##.##.#####.###########.#.#.##.#######.###..##.......#.##.#.###.#.#.#.............#..#.......###.###....###.#####.##....###.##...##.##.#########.#.#..##.##....#.##.#..##...###.#.#..##.####...##..##..##.##.........#######.##.##.###.##..#.###..##..#.....##.##..#.##.##########...###...###.#..#..##.....##.#.#.###.##....#.###.#.#.##.##.#.#.#....#####.....#######....#.#..##.##.###.#...###...#...####..#..###.##..#.#.#....######.#...#.#.#########.#.#.#.######.###....#.....#
#.####..#.#.###################...#.####..#.#######..................##........##..##..#..#.#.##....#######.#.#####........#..####..##.##.#....##.##.####.##..###.####.###.##.#.#..####.##....###..#.#.##.#..#.##.##...#...##.#.#.#..#.......##.......#....##.#...##.#####.#.##.#...#.#.#########.#.###.#.#####.######.#.#.##...##.########.####....#.....###.....#####..#.#.######....#...#.#.##..#.#.#.#.#.#....#.......##..##.#.###..###.##.....#...##.#....##..##....#.##....###.##.#.##.....#######..#..#.#.##.....#...#..##.#.#....##.#..##.##...#######......###.#########.##.#.####.##.#.#.####.#.###.#....###.###..##.###..##..##.#.........##..#####.#....##..###.#####...##...##..#####.##.##.....#.##.##..##.#.#.##....#....##...#.##.###.###.########......#.##.#.#.#####.######..##...##..###..#.#.#..#...##.#.......#...##......#.##.###.#.#####.#.#.#.####.#...###.#...#..##.##.###...###.#..##.##....#.##.#...####...##.###.#.#...#.##.##.#..........#..##.####.#####
#..####.###..##..#.#..........###...#.###...##..#.####.##.#########.##..##.#.#..##..##.#.##...#####.##.#.#.....##.###.#.#####.#.#..##..##.#.##.##....#.##..##.#.#.#.####..........##.#.....####.##.#.#.#..##......######.#........##.#.####.#########.####.#....#..#.#..#..#.##.###......##..#.#........#.#.###.#.##.......#..####.#.#.##....#.########.#...#####...#.##......##.#..#####.########...#.#####.####.#.####.####..#....###.##########.###.##.###.##..##..##.#.#####......#.#..#.#######.#.##.##.#.#.##########...##......##.#....##..####.#.#...######.######.##.#...#....#...........#......##..####..##.#.##....#.##..##.##.#####.#######..##.#.####....##.#....###.#####..##..##......######.####..##....#....####.##.#..###.......######..##.#.#..##.###.#......##..#.##.#.##..###..####.##.#...##.##.#########.###.####.####.#.#..##..#.##........#.###....###.#.###.##.#..#..##..###.#.#.###..###.##.##.##.###.###............###..#..#.#.####.#####.##..##.#...#.#
##.#.#...#..##..##.##########.#.###...#.##.####...#.#######.........##.########.###....#.##.###............#.#....#.#####.#.#.#.##.###.##.###...####.#.###......#.....##.#.######.##.###.#..#.#.#....#.##..##.###..#..###########.##.###.....##.#.....#......#.###.#.##.##...##.#...##.#..##...########.#.#.#.#...########.##..#.#.....####.##.#..#####.###...####.##..###.####..#.##.....##..#.####....#.##.#.##.###.##.#.###...#.##.#...##.##........#......###.#####.....##.#####.##.##.#....##...............#.##....####..######..###.#####.##....#...###.###..#.##.#....###.###.####.#####.#.#.##.#..##......###...#####.#.##.##..##..##...###.####.##.#..#.#.##..#.#.####.#..##...##..#######.##.###..#....######.####.#.#...####...######.##.##.##.##...#####.#.#.######..##....#......##.##..##.....#.####.##..#.##..##..##..##...#.###.##..#.##..#####.##...#.##.#####............##.####..##.....#.#.##......##.##.#...#.#.########.#####.##.##.#.#..####..#..##.##...###.#
#..#.###.##..##.##.....#.#.#........#...##....###...#.#..###.##.##.######.#......###.#........#####.#.########.##....#.#......#..#..#...#.##..#........#.##.###.#.###..#####......##.#.####.#.#.####...##.#####.##.#.##.##.##.#.#.##...####.###.#####.##########...#.#...###.#..###.##########..####.#..........###.###.....##...##.##..##..##.##.#.#.###...###.#...##.#.#..#.##.######.#####.#....###.##.##.......##.#..#..###.##......###..#########.######.#....#######.##...###..##.##.#.##################.##..####..##..####....########.#######.###.#.....##....#.####..##.....#.#####.####.#######.#######...#.###.....#.#..###.##.#####.#.#..##..##.##.#.#####...#...##.#.####.####..#.##...##...##.########.#...###.....#..#.#.#...##.#..#.#..#...##.#####......#.#..##.#####.######.#...##.######.#.##.#..##.#.#..##..##..##..#...##...#.##..#.##..####..#....#.....##.#.######.##....###..####.##.#..###.####..#....###...#............#..#.#....#.###.##...##..##.###.#.#
##.#.#.#....##...#####...#...##.##.####.##.#.##.###.#.#.##.###...######.#.###.#.##.###.##.#.#############.#....###.#.....####.##.##.###.#..###########.#..###......#####.....#.##.......##....#.##...###...##....#.#.##.#.........##.###....#.#.#.#.#.###.....####.....#.##..##.##....#..##.##.##......#.#.#.##.#.#.#.#####....########....##.........##..#..#..###.##.....##.#...#..######.#.####.........###.#.#..#.##.#.##...#######...#.##.....#...#.##.#...##............###.#.##...#.....#.##..............##..##..####.#..####.##..##.#.##.#.##.#.#.#####..###.##.##.##.###.#.##.......#.#...#..#.#..###..#.###...#####.#.##.#.#.##.#.#...#.#.##..##.......##..###.#.###..#.#.#....##.##..###..#.########.#.#....###.#.##.###...####.##....##.##.#.###..##..#.##.#.....##..#.##..#.###....#....#.###....##.##.##.#.#.####..##....######..#.#..##.#.##.##.########.#.###########.#.#.####.##.#.##..#.##.#.##...#.###.#.####.##.#########.###.#.##.#.####...#.##.#.##.##..#.....#
#..#...####..##.###.##.#.#####..####.##.#..####.#...#....#...##.##..##....#####.#......##.#..##...##.##.#...#.##.###.###.##...............####.........##..#######..##.###.#.#..##.#.##....##......#...##.######......#.##.######..#...####...........#.#.###.#.##.#.#.#..##....###.###.##..#..#####.#.#.#.###....#.#.##..####..##.#....##.###.#####.#######.##.#.#.######.#....###.##....#.#.#.###.######..##.#.##.........###.#....#..#....#####...#........#######.#.#####..##.#.##.#...#####..############.#..##.###.##...#.###....#.##.........#..#.......##......#.##.##.#.############...###.##.#.##.#.##.#.#####.#..#....##..........###.#.#.#..#######.#..##.#.#.....##...#.###.##...#.##.##...#..###.#.#.####.##..######...#..#...#####..#.#..#.#.##.##.###########.##.##..##.#.#...#.#####.#.#.####.##....#......##.##..####.#.#.#####...##..#..#.#..#.##........#..#.#..........#.#.##....##.#.##.#..###.....#.#.......####........#.###.##.#.#....###..#.####.###...#####
##.##.##..##.........###.......##.......##.##.#.###.####.#.########.##.##.#..#########.##.##..###.........######.....#....##########.####.##.#########.###..##.###.##..#.###.##.####..##.#..########.###..#.##.####.#......#....##.#.#.#.##.##.#.####...####....##.######.##.##.#.#.###..##.##..##.#.############.#.#.#..##..##....#######..#####.##.#.#.#....#.#.#.#.#....##.#..##..##.#.........###..####..##############.#.######.#.####.##.#...######.#.#####.#########...##..#.##.##.##.###.##.#...#.#..####........####.#.#.####.#..#########.##.#######..#.####.#.#..##.#.##.#.###.....#........#.#..#.##.#...###.##.####..#####.####.#.#.#.#.##.##.#..###.##......#####..###.##...###...##..#.###.##.......#..#..##..##..######.#.#..#.#..##.##.#.#.##.##..##.##..........#.##....#####.#.....#.#.#.#...####.######.##.###..##..#.#...##..#..##.#.##.#.##..#####.##...##.#########.##.#..#.##......##.#.##.#.#####.#.#######..######.#....##..#.#.#.######.##..##..#.#.#.....#
#.....###.##.#########...#####.#..#.#.#....#..#.#.#.........##.#....####..##.#.#.#.###.######..##.#.##.#.##......###.#######.........#.......##.###.#..#.##.........##.#.########.#..######.#####......##.#.#...######.######.#.#..###......#..#.#....#..#.####.#####.#.#....#....#.#.##.......##..#.##.#.#.......#.#.##.###.###.###..##.##..##......#.#.####.........####..####....#######.#.###..#..##.###..#.#.#............##.##.###....##...#######..#####......##...###.##.##.####..##...#.#..###.....##....##.###......#.#.#.##.#.##.##..###.#..##.##.#.####.##...##.#..#....#.#.###.#.########.#.##.#.##.##.##.#.#.......##...####...........##....##.##...######....###.##..##.#.####.####.....#.####.###.##.#.##..##..##..#.#.####.#.##.##....#.#.##..##.#...##.###.###.#.####.##...#######.#.#.....####.#.##.##..#...##.###.##.#.########.#..#..#.#..##.###...###.##...#.#.###.....##.#########.#....##....##.......##..##.#.#..####.###..##.#...#.##...##.####.#.#.#####.#
#####.#..........##..#####.....#.#########.##.#.#.######.#.###.####..##..##....#.......#.#.###..################.#...#.......#.#.#.#########........##...###.#.###.##..#.#.##..##.##.##.##..#...####.###..#.###...#######.#.###.##.#####.#.#############....###.#.##......#.###.#...#.########.###.###......#.#.#................#.##....###..#####.##.#.###..#.#.#.#....##.##...##.##.##.########...###..###...#.##########.###..#...##.##..#######.#.##.#.....#.##..###......#.#...##..###.###.##..######..############.###.#..............##.....##.#..##....##...###.##.##.#.##.......#######...........#....#...#.#.#######.####.##.######.#.##.###.###..##.#.##.##..####.#..##.##.###.#...#.##.####..###.#........###..##.###......#.#.#....#####.#.#.#..##..##.###########......#.##.###..##.#...#.###..##....##..##.##.###...#.##.#...#.##...##.#.##.#.##....###.#...##.###.#...#####.....##..##.....##....#.#####.#######.##...#.####..#.#.##....#.#..#.####.##.#.#.#..##.###
###...#######.######....###.##.#.#.........##.#.#..###...####..#.#..##..######.#########.#.#.##.##....#.#.###.#..#.##################.#.######.##.#....#..#######...##.#.#.##.##..####.....####.##.#.#.##...#####.#.#.##..#.##.......###.#.#.#..#........##.......###.##.####.#.###.#.#.###.....#...###.##.#######.#.#.####.#.##....####.#...##.#.#.##...#.##.########.#.....###..####.#..##.#...###.##..##.###...#...###....#.##.###..####.###.#.......#.###########.#.##.#.#.#.##.####.......#.##.##....##..#.##..#..##.#.#.###.#.#.#.####.######.#..##..#.#.#####..##..#.##.##########.##.##.#.###.#.###.#.##...###.#.#.##.#...###.#..#..########.#....#..#####.#...##.#..#.#.##..##..##.#.###......##.##...##.#.##.##.##.....####.##...#.####..###......#.####....#.##..###.######....#.#.##.#....#.####..######..#.##..##.#.#.###.##...###..###.##...##.#.#..##.#...#.#..#...#.###..#######.####.##########.###...###.#.#.##...###....#.#.##....###.####.##.##....#.#.#.#.##...##
#.###.#.###.#.#.##.##.#.#.#.###########.##..#.#.#.##.###..##..##.#.##..##.#.....##.#.##..#.......####.#.#.#.#.#######.#.#####.#.#...............####.#.##.........#.........#..##.#.#..#.#.#............##.##.......#..##.#.#######.##.#####.##...#############.#..########...###.........#####.##.##.###..#.##....######...#####.###..#.###.#.......###.#.#######.#########.##..###.#.##.#..##.##....#.##....###.###.#.####....#...##.##.#.....#.####.######..............###.#.##.##.#.#######.#...#.##....##..##.##.####.#.##..#####.###.....###...####.###.#.####..##....#.##.#.....#.#..#..###...####..####.#..##.#....#...###...##.##...####.#.####...#####..###......##.#.###.###.##...##..#.##.#...###########.#..###.####.#######...#.##.##.###.##.#...##.##....#.##.#.#########.#...#..####.####.##..#.#.##.#.#..###.#..........###.##.##..##.####.#.#.#######.#.##...###.#.##.#..##.#..##.....#####...#.#####.#...#.####.#.####.#......#.##.#..###..#..##.###.#.#.#.####..#
#.##...............####.#.###.#.#.###.#####.......##.##..####.........##....#.#.......##.###.######.#.#.#.#......###..............#######.#.##.###.###..######.##.#.####.##.#.##....#.################.##...#######.##.##.....###....#.##....#######.......##...##..##....###..########.###..#..........##.#..#######.....#####.#.#.##.........#####.#.#.#...##.#...#.#..#...###.#.#....#.##.....####.#..###.##.........#.#####.##.##.....#####.#.#......##.###########.#.##...........#..#.##...###.#######.#..##......##....######.####.####.##.###.......##.#.#.##.###.##...##.#####...##...#####.###.##.##.###.##..####.###.#####.....##.##.#....##.#.###.##..##...#.##.##....##.#.#.####.#..########.##..##.#.#.#.#.##....#.#.#.#..####....#.##.#.###....##########.............##.#.###.##...##..#.#.#..##.#..#.#.##.#.#...#.##########.##..##.##.##.#...#.##.#.##.###..#.....#.##.#.##..#.##..#####...###....##.#.##.##.#..#.#.##.#.###.#######.#.##...##.###.##..#.#.#..##..##
#..###.#######.#.###.#....##....#.....##..#####.#..#.###.#..#########.############.##.##.#....#.##..#.#...###.####...##########.###.......######...######.####.#..#.#....##.#..####......###............###.#.###.......#####.#.####...#####.#.###...##.##..#.#####.#..##...##..###.....#.##.#####.##########...###.#####.#..........####.####.#.........##.##..###...##.#.#...#.#.####.#.######..###...##......##.#.##.....#......####.#######.####.##.##..#.#...#..####.######.#.#.#...##..##.###...#.#..#.#.########..####.#.##.....##.......#.#...#.#.#........#....#.####.##.#..####....#.#...###....#..#..##..##..#.......#.######.###....####......###..##.#########.#####.##...#.#..#.##.#.##.##...##.##.....#...####.##.#.#.##..#.#.##...##...##..####...#.#..###.###.####.##.........##.####.#.#.##..#.##..........##.#######.###.#..##.#...#..#.###....#.#..############.#.##.#.###.#.###.#...##.##...##.##.#.....#.#.##.#.##...###.....#.#.#..###.##..#..#..##.#.#.###.###
#.######...##..#..#..####..####.##.##..##.#.....##....##.#.##.##.#.....##.#####....##......##....##...#.####....####.##.........#...#####.##.#####.............############.#.##..########.############.#.#...#.#######.#..........###.........#.###.######.###.......#####.###.#.#####...##........##.#####..#.....#.############.###.###############.#.#..###..####....#####.#.#..##..#.#..###.##.###..#####.##..#####.##.###.##..#.#.###......#.####.###...###.##.#.##.#..###########..#.##..#.###.#.##...#.#.##.....##.......#####.###.####.#.##.########.####.#.######.....#.##.#.#######.#.####..##.##.#.####..##.###.###...#.##...#.####...#######...##.......##.##...###...###...#.##.#.....#.###.##...###.#.###.#.##.##...#.#..##.######..###..##.#.###.##.##.#.####..###.....#######.#..##.#.#....##.#.#####.#.#.#..#..###......#.#.##..##.##.##.#.#.####...##...###.##.....##....##.#.#.#.#.###..####.####..#####.#....#.#.##.###.#.#####.#...###..##.##.##.###...........#
#.#..#####.##.###...##.#..##....######......#.#.#..##.#..#..#.#....###.##.#.#.####.#..#.##.#..#.#####....#...####.....##.#.##.#.###.#.....#..#.....##.#.#.#.#.####.#.#####.....##.##..##....#......##.#.#.###...#...#.....###.####.#...##.####.#..####.#.#....####.##.#......#......###.##########.##...##.########.#.#.#..#.###...##..#.##...#....###.#...##.##.#.#####..##.....##.###.....##.#.#......##.#######.##..###....#####.#.#...######.#..#.#...###.#.........####....#.#.#..##.#..##.#.##..#.#..###....#####..######.##.......####.....####.#.#.#####...#..##.#..###.#.##.#.#...##.....#.#####....#.##.#.##..#.#######.#.####....###.#..##.#...#########.##...##.##.#.###.###.#..#.##.####..##..##.##...#..##.#.#..####.#.##.#....##.##.#.##.##...#.#.#..##...##.####...##.##...#.#.##.#..#.###.##....#.#.########.#.##.##.#####...###..#.##.#........#..#..#.#.#....###.######.##............##.........##..#.#..##.###......##.....#.##.#.###.##.##.......##..######.#.##
#.#.##.###.#####..####.#.######.#.#....#.##.########..##.##.#.######.#.#..#.#.#.#############.#..#.#####.###..#.##########.#..###...###.####...##.#######.#.####...........##.###.#..######.######....#.#..####.###.###.#.#...#....########....##.#.##...###.##..###########.######.....#.#.#....#..#.###..####.##......##.......#..##...####.####...#####..#.##.#.......####.##.....######.#....#####.##..#...#.#####...####.##........####..#..##.#.##.##...###.####.########...#.##.##.#.##..#.###.#...###..####..###..##.#...##.####.##.#####.#.#....#..##.###...##..####...#.##.#.###....###...###.####.#.##....##....##..#..#..#.###.##.#.##.#....#####.#.#...###.###.##....##.###.##...##..#.##..#.##...###.##.#....##.#.##.#.##.##.###..........#..#...#.##..###.##.##...#..######.....##.##.#..##..#.##...#.##.#.##....##.#....#.##.##.##.#....###.#.####.#######.####.....##.#.#....#####.##.######.##.######...##.#......#.########.##..#.#..##.#..##.###.#....###...#.#..#
#.#.##.#....##.##.#..#.#.#.##...#.############.#.####.##..#.#.#.#.#..#.#.##.#.#.#.##.#...##.####.#.#.#.#...##...##.####.#####.############.##.###.##......#.##...##.#.#.#.##..#.#...####.##.#..####.#...##.#.#...##.##############.#.###....##.##.#.####.....###.###.##.#.#.........###.#.#.####.#.##..#..##..#..######.#..#.###.##....#....#.#.##.#.##.###.#.##.##.#.##....######.###.#.##.##.#..##.#.###...###.###.##.##.#...#####.#.##..##.##.......#..###.######....#.#.##..#....#.......##.#.#.#.###...##..#.#.##.##.##.##.#####.......#.....#.####...##..#.##.####.###..#...#..#.#.######.##.##....#.#.#.####.#####.####.##.#.##.###.##.####.####.#.#.#.#.###......#...##.####.#.#..##.####....##.#..##.##.####.##.####.#.#..#.##.#...###########.#####.##.###.##..##.#########..#.#####.......#.####.###..#...#.....####.#....#.##.##..#.#..#.########.#.....##.##...#.#####.#..#.###.###....####..#####...#..####.##.#.##########.......##.....##..##.##...###.#.##...#.######
#...#..####.#..##.##.#.#.#.####.#.##..#.#..............##.......#.##.#...##.#.#.#..#.###.....#.#.#.#.#.##.#####.#..#........###.#.##........###.###############.##..#.#######.#.###.#.#..#....##.######.#....#.#....#.##.##.##.......#.#######....#.#....#.#...#.#.#........#.####.###....#.#.#.....##.#.####...##......##.#.#####..#.###.#......###......#....#.#########.###.#...............##..#.#.#.###..##.#....#.#..###.#.#####.##.##..########.##.#.#...##.##.###.#.###.#.##...##.####....#...##..#....##.#........#..#..#.##.#####.#####....#.###....##.....##..#.######.##.#.#.#.###......####.#...........##...#.#..##.#.##.#.#.#...##..#......#.#...#.######.##.##..#.#....#.##..#.##.####..##.#..##.###.....#.#..#.##.#..#.#.#...####.#......##......#..###.##..##...#.##.#.#.....#####.#.##.#.########.###.#...##.#.######..##.##.##...###..##....######.####...##....##.#.#####.####.#.##.##..#..###.##.#..#....##...##..#####.####.#.#....##..##.############.####.###
###...##.#....##...#.#.#.#..##.....##...##############.#..#####....#...###..#.#.##.#.##..#.#...........##..#.#..##.##.#.#.#........#######.##....#.##....##..###########.##.#.#.#.#.#.##.####.#..#.####.#.#.##.##.#....#.#...#.#.#.#.....###.####...##########.#...##.##.#.######..##..##.#.#.#####.##....##..#..##.#.#....#.#.############.##.#..##.##.#...##....##.##.#........#.##.####.##.####.....#..##.##..####.#.##.##......##.....#..##.#.###..#......###.....#.#.#.#.#####..####.##.####.##.####.#######.########.##.#.##.####.##...###..##.#.#...#.#######..#.##..##.#...........#...##.#........##.#.#.##..###.#.##.##....#.#.....#####.#####.##.###.#.##.........##...####.#..##.#.#.....##.##.##..#.#.#####.#.#.##.#....##.####.##....####.###..#.##.##.#.#.###..###......#.#########.#.#.##......###.....####.##..#.###..##.#.....##.###.##..#.####..#.#.#....#######.##...#.##...#......#..##.##.##..##.##.#.##.##.#####..##........#.########.##........#.#.#..#.....#
#...###..##.#..###...#.#.##.###.#######.##.##.#.##.#...#.##.....##...#.#.##.#.#.#..#..####.#.##.#.#.##..##...##.##.#########.#.###.##.......####.#..####.###...#...#.##.......#.#.#.#.#..##...#.##..#.....############.#.#.############.##.#.#.#..###...###.#..#.#..####.####...########......#.##.....#########....#.##.#.###.....#.#.#.#######.#########.####.#.##.##...#.##.#.#.####....####.######.#.##...##.##........#######.##.#.#...##......##...####..######.#.#...#..##...##........##..#...#.#.##..#.#...#.#.#..##.#.##..##..####.#.#####.#.##.##..##..###.#.##.##....#.#.#.###.###..##########..#.#.#####.......#..#####...#####.##.#...#.#...#.#.....#####.#.##..#.###....#.##....#.######.##..##................#...##.##..#.#..####.#..#..##.##.#...#.#.#..##.##.######.#.#.#.........#..##.#####...##.###...#..##.....##....#.#.##..#..###....###.##.#.####.##.#.....##.##..###.###.####.##...#..##.##....#.#####....##.####.##########..#.#..##.########...##...#.#.#
###...##..####...#.###.#.##.#.#..##..#.....##...##.###.########.#..###...##.#.#.##.#.##.#######.#######.####..#.#..#..##.#.#####....#######..##..##....#.#.###.###.#.########.........##..###....##.###.#..######..........#.##.#................###..#..#....#####.##.####.###.#.#.#.###.#.#....#####.#.#.#.....##.#.#..#.##..#.#...............#.##.##.###..###.##.###.###########.####.##.....##......##.#..#..#.######...###.#.########.#######....#.#....##......#.##.##.###########.###.###.##.##...##.##.###.#.....###.#.#..##..##.#..#.#.#......#..##..##.....#.##..##.#.#######.......##..#.......########.#######.##..##...###.#.#.##.#.#.....#...#.###.#.##..#..##...#####.##..####.#..#.#.#..##.##.##.####.######.###.#...#.##...##....##.#.######.#.#.....#.##..##....#.#.#.#.###.#####.#.##...#..#####....###.##.##.#####..#.##.#####.#.##.##.###......#.#.##..#.#####..#..##.....#.#....#..###...###..####.....#.##.####.#.##..#...#.##..##.##..#.#.#.##.###..#.#######
#...#.###..#.###.#.###...##.#.#.####.##.##..###.#.......####.#####.#...#......#.##.#..#.#.##..###.........###.#.#.##.##.....#.#####.........####.##.##...#.##..##.....#.#.#.#########.##.##.###.##....####..##.#..#.#####.##....##########.#####.#.#####...##.#.#.#....##...#.#.#......########.##.##....#.############################.#.######.#.#..#...###..#..##..####.##.#.#.#.....#######.##..#.##..###.##.######.####.........###.#...#.#.############..#.#.##.#.#..##..##....##...##.......#.###.##..##.##..#####..#....##.###.#..##.#.#.#####.#######..#####...###..######.#######.##..##...##.##.##.....#.........##.#####..##.....##.#####.#.##.##.###....#####.####...#.#.##.##......##.#.#.##...#######.########...#####.#..###..####........##.#.#.##.##...##.######.....#...#.####......###.##.##..####.##......##.#.######.#####.##.......#.#.#.##.###.#.###....##.#.##.####.##...##.###.##.###.#.#.###.#.#####..#.#.#.....#.##.###..##..#.##.##...#.....###.#.#..#.##
##.##.#.#.##..##...#.##.##....#..##...#####..##.#######..##...###..#.###.####........##.#..##..##########.#.#.....##.#####.##..############..#.#.#######.#.###..#####...#.#..####.#....#.##.###..###.##..##..#.#######....##.#####.#.#..####.....#.###.##.##........##..###.#.#.######...#.#.#..#...#.#.##..##.#####.##...#.###.#########.#......#.##.#.###.##.##..##.#.#...#.#...####.###.........####..###......##.........##.####..#..##.##....#..##..##.##.######.#.##.##.####.#..############....##.##.##...#.##...##.##.####..##.#.##......##.#...##.#.#.###....#.#.##....##...#.##...#..#####..#.##..#####...#.#.#.#....#.#.#.######.###..#..######.####.##.#####.###....#.#...##..####.####.....###.###..#....#.......#..##.#.##..#..##..#######.###.###########.##.#.#....###.#.###..#.######.#.#.#...##.#....#######.##.#...#.#...##.#.###.####.#.#.#..###.....#...####....#...#.######.##..##.#..#.#.#...#.#.#.###.##.#...#.###....#.#.#.##..##.#...#.#.#.#####.....#.##..#
####.......##....#...#..#####.#.#####.##..##.##.#.##..##....###.########.#....######......##..##..#.##......#####..#..###..##.##.....#..####.......##....#.#.#.##...###...##........##....#.#.##..#...##..#.##...#.#.####.#...#.#....##..#######.#.#.#.######.#.###..##..#......##.##..#...#.##.##.####.#..##..#.##...###.#.#.#..#....######.#.#...#....###.......##..#.###...##.##.##.##..#.#######.###.#.######.###################.##.#...####.##....##..#...#.##..#.#..##....####....#.###...##.#.##.##.####.#.####..#.##..#.#.##.....####.#..#...####...#...#.#.##.#....####..#......#.#.###.###.#.#..##.....#.#####.##.#...#...#.#.##.....##.###.#.#..##..#...##.#.##..####.##.###.####...##..#####.....##.##.#...#.#.#.##.......##.##.##.##.......##....###.#.###......#######......##.#..###.#.#.#.#.###..##.#.........##...###.###.#......#####....#...########.###.#..####.#.###..#.##..##.###.##.....#.###.#.#.#...##...#.###.###.##.#.#..##.##...#.#.###..##.###.#....#.##
#....#.#.#..########.##.#.##......##...##..........#.####.#..##.###.##.######.##.....#.##..##.###....###.##...####.#.##.##.##..#####.##......##.##..####.....#.####.#####..############.#...#.###.##.####.#.####.....#.##.##.##.####.##.##.##.................######.###.###.##.#...##.###..........##....####.#..###.#...#.#.##.####....#.#######...##.#.###.#.#..##...##..###..##.#.....####....#......#.#.##.....#.#######.###..#..##.###.#.#...####.###.###.#.###.#.##..#.#####.####.#.#.###.##.###..##.#.#....#..##......##...#####.##..####.###.#..###.#.########.####..###############.#.#..#######.#####.##.##.#######.#...###....###.###..#.#.#.#.####.##.##..#.###.#.......##...#.##.####.#...#.#.###..######.#.###.###.#.##....##..#..##.##.#..##.###.#.......#.#####..#...#.##..#.##.#.#.....#.#...##.##.##.#.#.##..#.###.#.#.#...##.#.##..####...####.##.....##.##.#.#....##..##.#..##..#.#..##.##...##....#...#.#..######......#......##..#..#####.####......#.##.#....#
####.###.##.#.####.#.#..#..##.###..##.##..####.###....##..##....#.......#.###.#..##.#####.##...#####.#.######.#..#.#.#......#.###.##..####.#.#####.##..###.#....##....#.##.##.##..###.###.#....##.##..##..#.#..###.#......#...#.##.#........####.####.#.##.#.####.####.#.######.#.#########.#.#####.#..####.#....##.....#...#.#..#..#.##.#.##.#.##.####.#.#.######..###.#..##.##......#.#.#....##...#.##...#.###.##...........#.##.##.##.#.#.#.###.##.#.#.#.##...........##.#.#.##..##...........#....##.##...##.#.#.#######.####.##.##...##.##...##..#.##.....#.##.......#..##..#####....#####.##.....#####......###.....#.######.#####.##.#..###.#........#.#.##.###.#.#.####.#.##..##.##.#..#..#.#.#####..###.#.#..#########.#########.###.#.#########.##.##..##.##.#.#..#..##.#########.#..#.....#.#.....###...############.#.##........#.####..##......####.#..#####.#...#.#.####..#.###.##.#..##.#.#######.###.##.#.#####.###.#.######...########.#.###.##.#.##.###.##.#####.###
###..#...##........#.##.#.######..###..######..#...#.####..####.#######.#...#########.#......###.#...#.##.##..##.#.#.######...##...##.#.######........###..##.#######.........###.....#######.###.#..####.#...##.#.##.#.#...#........#.####..########.#########.#.#.#....#.##.....##..##.#######....#.##..#.###.##########.##.##.##.####.#.........#........##.#...##...##.##....##.#########.###.#.#.####.#..######.#.#.####......#...#........#.........#.############....#...###.#..##.#.####...#####.###.#####....#.#.....#.#.##.####.##.####.###...######.#..#######.##.#..##.#.###.##.##...##.##..#.##############.##..#..##.#.##...#.##..##.########.#.#.#...##.#.....######..##...#.##.#.##...#.##..##.#.#.##.##.##..##.............#.#.#.##.#........##.##########...##..#.........##...##.#####.#.##.###..##.#...........###.###.##...###########.#.#..#.####.....#.....#.###...##.......##..#.#.##.##.##..#....##.#..#.#.#..##.#..#...##..##.......##....#.######.....###.#
#...##.#.##.#.#.##......#..#.#.##.##..##.#....######.##.######..#.##......#..#.##.......####..##.###...##..##.........#######.#..#......#...###.####.###..##...##.#...#######.#.#####.....##..##..##.##.#.###.#..##########.########.####...##..##..####.##.#.......##.#...####.#..##.#..#.#.#.####.#..##.#.##..##.....##........##.##.#.##.#############.#.##...#.####.##.###.#.#...#.#.#.#####..#####......##.#..#.#.#.#....####.###.########.####.#.##...#..##...#.#####...###.#.###########..#.#.##..#.#...##..####.#####.#...##.#.##.##.#.##..####..##......##.#..##..#...##....#.#.##.###.######.##..#.####.#.#.....##.##.......###.#....##...###.....#.#.#.###....#.###.#.###..###...##....#.###.#..###.#.#.#..##....#######.#.#####.....#.#..###.###.##..#.#..#.#.##.####.####.##.#....######.##..#.....##.##..###########.......########..##.###.#.#.#.##.##.#####.###.#....#..########.#..##...#.##..#..#.#####.#..##...#.#.##..##.###..##....#.#####..####.#.##...######..#
#.#..###.#..#.###..#.##...##.......##..#.#######.....#..##.#.##.#..#########.#.#..#.#.#.#####..#.##..#....#######.##.##.......#####.###.###.#.####.#.#.#.####.##..#######.......##....#######.###.#..#..#..##.##..##.#...##.##....##.#....#....####..##..#..#######..#####.#.#####.##.##.#.#.#.#.##.##.#..#.###..#####....#.#.##....#..#..#####...##.##...#.######..........##.#######.#.#.#.#.#############.##.#.#########.####........#.##.#.....#.######...#####....######.#.#.#.#.#.##.#..####.#.###.#.##.####..##...#....##.###......##...#..##.#..########..#.##.###.#.#######.#...##.......##......##.#....#.#####.#.....####.##.....#######.#.#####.#......####.#####..#..###..####.##.####..#..##.#.#.#.#.##..####..##...#####.#####.###...###..##...##.#.##.....##.##....#.#############.....#####.####..#..##..#.####...############.#.##.............#.##..######...####.##...##..####.#####.#..##.#.####.#.#.#.##..###...##.##...###.###.#######.##..##.......####.#.#.##
#.#.##...##.#..###.#..###.########.###...#####...###.#.###...##.#.##.##.##.#...##########..###.#.###.####.#.#.#####..########.###...###.......##.......#.#.....##.#.##..####.##..####...##.#......##.##.#.##..##.##....#.....##.#..###########.##.#.####.#.##...####.##.#......#.......#.#...#.#.#...#.##....###..#.###############.##.#.##.....#....####.###...###.#.###.#..####.###......#.#.####.#.###...........#.#.#.####.####.#.#....#.#####.####.#.#.###.######.#..##..........#.#..##.##......##...##..#...#####...##....#.######.##.#.##..#.##..#.#.####........#.#.#.##.#..#.########.###..#.##..#.####.........#.#.#.##...######.#....##.#.#.#...##.###..#.#..##.##...##...##.#...#..#.#.##.##....#.#.#.#..##.###..#.#..#.#.....##.#.###.#.####..#..#.#..#####.#..#####.#.##.##....##.#####..##.#....##.##..##......###.#....##.##.#.#.#####.###.###.##.##.##..########......#..#.##.#..#.#.....##.....##....#.#..##.#.###.#.....#...#.#.#..#.##...###.##.#####..#.#.#....#
#####..#..######.######.#.#.#.......####.....#.#.##....#.###.......#.##......#....##.#.###.........###....#...#.####...###.##.#.###.#...#####.###.####.######.###.#.###..#######......###..######.##.##.#..##.#..#####.##.#.######..#.....##.#.##....#......##.##....##.#.####.#######.#.###...#.###.#..#.##.#...##...#..######.#.........#####.##.#..#....####..####.#...##..#.#.....####.#...#..........##.#.####.#.#....#.#.##...#.#.##....###...#.........#.#.#....#.#####.##.#.#...#.##...#####.#####..##.###...##..#.#..##.#.#.###..####.###.#.##.##...#.#########........#.##...#.##.#...#.########....#.#########.#.########.#.#.#....##.#......###..######.#...##...###....#..#.###.#.##.#.##.#..####.#...##.#..#.#.#####.#.#.#.#..........#..#######...#.###....##..#.#.....#.#..##.#...##.##......#####..##..####.#...#...#.###.##.#...#.#.####...####.....##.##..#.##..###.##.##..#.##...#####.###.######.#...#.##..#.#.#...##.##.###.#...##..#.###.#..#.....####.....####
############.#.#.##.#.....#.######.##..#####.#########.......#.###...###.##.####.##........#.#.###.####.#.###......##.##.........#########....#.###.....#.#...##....#.##.#..#.#######.####..#.....#...#.#.##..#.##.#.#########.#.##.##.####.....####.#####.##..###.#..#.###....##......#.#####...##....####....####.#.##..#.#.....##.####.#...#######...##..####...######.#..##.#######....###...#.###.#.########...#.####.#.#.##############.#.###.#.#.####.##.#.####.#..#.#######.#.#...###.##.#.#..#.#..##..##..##########.#..#.#.#.##..##............###.#..####..####.####....###.#.##.###.#..##.#.###.#...#.#..####.####.#.......#...##.#######.######..##......#.###.##...#####...#.#.#.##....#.##......#.####.##.#.#.#.##..#.##############.##.#..##.###...#.####..##.#.#####.#.##.##.###.#...#.#.##.###...##..##..#####...######..#..#.###.#..##..###.##.#####..###....#########..##.#....####.##.#.#...##.####.##.###.#.#.###.#######.#####....##.#...#.##.#####..#.######.#
#.#.###.##..........#####.#..#.#....##.#......#.#..#.#######.######.##.#######....##############...#.####.#.###.##..#..#########.#.##.##.####.#.#######...#.#..####......##.#.#.........###.##.##...#...#..##.#.##....##.#.......#.......#..##.###...####...##...#.##.....#.##..##.###.#.#...##.######...###.#.##.###.###.#.###.#######...###.###.#...####.##.####..###.####.##..###.#####.....#.###...####.....###...............####...##.....#.#.#####.##.#......#....##......########.#......#.#.##...##..##..##...##.#.####...#...###..#######.####.##..##.#....##....#######.#.#.#.##.......##..#...#####...##.......##..###.#.#...#.#....##.#...#..###.#####.#####.#.######.#.###.#......####...###.#####.#.#..##.#.#.#.###....##............#..#.##..###.###...###.##...##.##....#.##.##..###.#####....###..##.##.###..###.###..##...##..##.##.###..##.##.#...##.#.###.##.....#...##..####.##......#.#.###..##.#.#...##......##.#.#..##..##...####..#.###....##..##.#.#.###..#
#.....#....####.#.#..##...#.##.###.##..######.#.##....###.#..###.#..##..#.#..##.###.##..###.#.####.#.#.#....#.#####.#.##.........#....#.......#.#..##.###.#.##.#.#######......#######.#......##########...##..#.#..#.##..#######.#####.#...##....###.#....#.#..#.#######.######.####.#...#.#.....#.#...#..####.#..##.........#####.###..#...........#####.....#.##.##.#.###..#..##....#.######.######.###.###.#..###.##.#.######.##.#..#.######.#.#..#.#.....######.##.#####.#####........######.#.#.####..##.##.#####.#.....#####.#.###.##.....#.######.###....##.#....#.##..#...........#######.###.#.#########.########..##...###.########.####.###...##...#.#.#..#.##...#.#.#.....#....#.##..#.#.###...#.###...##.##.#.#.......##########.#.###.##.#.#..##....####.#.#..###.#...###.####...##.##..##.####.##.##....#..##..##.#.#.##..###..##.##.#..#.##....##...###..#..##.######.###..##.#.##..#.####.#.....##.##.#.#.#########..#...#.##..#####....##.....#.####..###.#.....##.#
##.##...#.##....####.####.............##.##......###.##.#.####.#.##..##.#.##.#..##..###.#.#........#.#...##...##.##.#.##########.####.##.#.##...#.##..#...###..#.#.#..#..##.###.#..#..#####.###..###.####..##.#.#.####..##.#...........#.#.#####.#.#.#.##.#...##..#####...##.#..#.#....#########...######..##..#.##..#####.#...#.......####.#.###.#####.###.#...........#.##.#.######...#.##...##.....#.#.#.####.....######......##.#.####.#......#.##...###.....##..#..##.#.#.#.#.######.###.##......##..##...#...###.##.##..#.#......#.######.#.##.......###.##..######..##...##.#####.##.......#.#.#.#.#.#........#...##.#..##########.#.#..##..#.##.#####.#.#.#.##.####.....#####.##.#######.......###.#.#.##.##.....#.#######..##.##.....###.#.##...##.####.##..#.#.##.#...#.###.#.#.##.#.......##..#.....#.#####.#.####..#.#......##...##...#.##.#.#..#####.###.##.#.##...##.##.#.#.###.#.#..####.#..##.#.###......#....##.#.##...#....##..##...#####.##.##..#.#.##.....#####..#
#..###.##..###.###.#.#.#..##.########.#..#######.#.#..#.#.#.#.....##.##.#....##.##.##.....########.#.###..##.##.......#.##.#..#..#.#..#########.#.###...#..###.....##.#####.#.#.##.######.....##.#........##.......##..##..######.#.##.#.#.#.....#.#.############..##.##.###.##...####...##.#.####.##.####.#..##..##.#.....#.#...#.#####.############.#.....##.###.#.##........#.##.###.#.##.######.###......#.#.#####.#.###.###......#.#....#.##....#####...###..##.##..#.#.#.#.###.#......#.#####.####.####.##.###.#.######...###.####..##.##.#..####.##..#...#.####.#####..#.######....#######.........#.##.#####.##.###.##.##...##......##..##....#.#.#.#.#.#...##.#..###.###.#....#.##.#..#####.#.###.....##.######.#.#.##.##.###.####.#.#......###.#...#.#.###.#.#....###.#.##.......#.#######.###.#####.#.#..##.#....##.....###.#####..##.##.##.....##.##..##..##.#.###.##.......#...#.#.#.##.#..##.####.#.##.#.###.##.#.....##.####.####.##.#####....#.#..##.#..##.##.#.#.##.#
####.#.#####...#.........##..#........##...#####...##.#.#...####.##..##.####.##.##.####.###..###......#####...##.####.#.#..##.##.#.##.#.##............####.....#.#.#....#.#.#.#......##.##.####..#####.##.####.#######.##.###.....##############......##.##.#...#.###.........###.##...####.#.#.#..#...##....##..#########.####.####..##...#.#..##......#.#.##.###.#####.#.#.#....#.#.#...####..###########.##.####..........########.#...#.########..###..###...##.....##...#...##....#.##.........#.#...##...#.#.#...#.#..###.##...##..##.....##.##.#####.#.######.#..##.######......#.##.#...#########.#.#####.......##.....####.#######.###.#####...........###.#....##....##.####.####.##..#....###...######..#.##......##.#...#..#..#########.##.....###.........##.#.#.#....####.####.#####.#.#...#.#.#.....##....##..####.##.###.#.##..#.#...###.###...#.##..###.#..##.########.#.###......#.##..#.#.#....##.####...######.##..#.#####....#.###.##.######..#.#.###.####.#....#
#.##.###.#.#######.##.#.####.#.##.###.####.....###.##.#.##.##.#..###.##.#.##.##.#...#.#.#.##.#.######.#.#.##.#######....##....##.#..#.#..#.##.#.##.#.##....##.####...##.......#####.##...#...###.......#...#.#.#.##..#.##.#.#####.##..#..##.#.######.##...#.###.....######.##.##.....#........#.##.###..####.##.######.....##....####.####...##.#####.#.###.##.#...##.####.#.###.##.#.#.#.#.###.#.#...#.##..##.##...##.#.#.#.#..........#.###........##.#.######..#####.##.#...####################.#.#.######.#...###.#.#.####.###.####.#..###....#...##........##..##.....##.##.#.####....###.##...##.......#.####.##....###..#.#..##.#.#.#......##.#.#.#####.#...#.########.##.#.##.###...##.#.##..####.#.#.#..##.#..####.##.###.#.##.#######.##.######.#.######.##.####.#...####..#..#####.....#.###.....#.###..####.#####.##..#..##....##.....#.#....####.#.#..##...#.##...#.#.##..#.#.#####.##..##...#.#.#####.##.###..##.##..##.....#.###.##...#.##...##.#.##...#.#...##...####
#.##.##....#.##.#..##.#.#..#.#.#####....######.#...........##.##.#.#.#..........###.#.#.#.##.#..........#.##.#.###.####.#####.##.##.#.#.#################.#####....###..#.#.#....##..###.##.##.#####.#.###........##.#..#.#...#######...##.....#.#......#.#.##..##.###.######....###.####.#.#...#..##..##.......#.##.###.#.#..#.##......####.##..################.##.......###..........###..##.#.###.#.###.##.#############.##.###.#.########.#.###.##.###...###.#.#....#####..##...##.##............#..##....#.###.#.#...##.#.#.#..##..#########.###.######.#.##..#####.###...#####....####.#..#.##########.#.#######.#######.#.##.#..#...#.###.#####.#.#.....###.......###........#.#.###....#####..##........###.#####.#.....##.#..#.##.#.#........#.#.#..##.##.#...##..###.#.###.##...##..###.#...####.####.##..##....##.....##.#####.##..#########.##.##.....#####.#..##.##.#.###...#.#..##..##..###.....#.#.#.##..#..##.....##..###.#..#..#..#.#.##.####.#.##.###...#..##.###.#
#.##..####........##..####.#.###.....#.##.####.###.#.##.##...........####.#####...........##.##########...#....#.#.##.#..##...........#..##.##.#.###....###.###.#######.######.#..#.##......##....##.#.#...#.####..#.##.#.#.###.##..###....###.#.########.#.######.#...#.##.#.#.##...##...#####.##.###.######.###.....#################..###..##.#...##...##...######.#.########.##.#.#..#..##....#...#...#.....##.#..#..###############.##.######...##...###.#.......##..#.##.#####.#...##.#######.#...####.#...#.#.#.#.###........####.#.##.##.#.##...#.#.#.#####........###.###.#####.###....##.##...#.#.#.#.#.......###.......#..##.###.####....#####.###.#.....#######.##.##.##...#.#...##..##...##..##.##.###..#.#.....#.#....##...##...########...#.#.##..#####.##..##.#.....#.#..#####.#...###.#.#...##.....#####.#######.##...##..###....#.#..#.##.####.#.##.#..#.##..##.#.....#...#.##..####.#...#.#...#.#..##.##..####.###.#######.#.##.####.#...#.#....#.#.#.######....#.#
#.##.##.###.#.##.####.#....########.##..#.#....##..#.#..#..#.###.#.#....#####.#####.#####.##..##......###.####.#.#.#..#.##..#.##.#.##.##....##.#.#.####.##..#.###.##.#######.####....######..####.#######.#####.#.##.##...#..##.#..######.###.........##.....#.#.#.###.#.#..#######.####.###.##.........#.#.......###.#.#.##.#.......###.#...##..###..###....###.#.######....#.######.##...######.###.###.#####....##.#.##.######.##.#...##.#.##...#....###.#...#.#.#..##.#......##..##.##..#.....#####.#.#####.##.#.#.#..####.##.#..#.#.........#.###.##......##.######.###...#.#..##.#.#.####.##..###.....#...###.#.#.#...#.###.##.##.....##.###.##.############.######......####..#...#######..###.##.########.##.#.##.##.#.####.###.#####...##.....#.....##.##.#....##.##.###.###.##..##.#####.###...###.######.#..##.#.###...##.#####.#.##.###.##....#.#.#..####.##....##.##.#########.#..##..##..##.##.###...#.##.....####..#.#.....##..#.#..#.#..#.###.###.##.#.#..#..####.##.#
#....#....###.#..#.#######..##.##.#####...####..#.##.####.##.#...####.#........######.#...##.###.####.#....#.......##.#..###########..##.##..#.#......#.###...##.....#.##.#..#####.#...##...##.#....##.....##.#...##..###.#.##..#.###.#.###.##.#.####....###.#.#...##..#...##..#.####.#..#....####.####.#.###.#########.#..#.#####.#..#..###..##.#...##.####.....#.#.#.#..##.#..#.#####..####.#...#....#....######.##...##.#.##.#.#....#..#....########.#.#.#####.#.##.#..##.###.###..#..####.###..#.##...#.#....#.#.#...##.#...####...#####.###.#..##.######.##..####.#.##..###.##......#.##.#.##.##.#####.###.#.###############.....#####.##.....#..#.##...#.....##...####.#.#.##.####.#.##.##.##.#.##.#.##..#...#.#..########......#.##.####.##.##.######.##.##.####.....#.#...##...##.##..##.#.....#......#.#...#.##..#.#.#.#....#.#.#...##.###..####.#.#.##..##...###.##..##...####......####....############...##.######.##.#...#######.#.#.##...##..##.#..........##.##.##..#.#
###.##.#########.#...##.###........#.####.##.#.####################.########.#....##..###..#...####...#.##...####.###.#.##.#.##.#.###..#####.#.######.....###.#..#.#........##.#.#####.####......#######.###....#.#..##.#.#.##.##.#.....##.....####...#.##.......#..##.##.####.#.#.#..#####.#....####......#..#.###..#..##.#...######.#.##.##.##.###.##.##...#.#.#...#.#####.##...#..###......#.#.####...##.#.#.#..####.##.#.#....###.###.####.#.###....#.#.#.###.#.#..##..####....##.#.##.#######.#..###.#.####...#.###....##.##....#....######.#.##..#..#...##.##.......#.####.###.###...##......##.#.#..........##..#.###.##.####.##......#####.#.##.#..#...###.#..#.#..#####..#.#............#....#..#..##.#.###.##.....#.###.###....#.#.#...####.#....#....##...##.###...###.##.#....##.###.###########.##.#.#.#..##...#.######...#.#.####.#.#.##......#..#.##..###....##..##.##..#####.##..##.###..#.##...##.#.#...##..#.#....#.....##......##.#####..#.##.#.#.######..#..##...#
#...#..#.##.##.#####....#.########.#.#...........#.###..###.#..###..##.#.....####.###...##.#.####.###.###########.##....#....##...#...###.#..#.##.#.####.##.....###########.##.#.##......###.###.##.##.##########.##.##.........#.###.#.###.##.##...########.##.###....##.#.##.#.#.##.#.#...####..#.######...##...##...##..##.##.##.....##.#......##.....#####.#...#...#.##.....#...##.##.#######.##.##.###.#...##..##.....#.####.#####...##.........##.....#.#.######..##..#.##.###..#.##.#.##....##............###.##..##..##########.###.#.......##.##.###..#.########....#.#.#.###.###....####..#.#.###.#.###.####.#........###...#####.####.#...#..#########....#####.##.##.######.##.#####.###.##.##.###.....#.##.###.#.....##..##...#.#.####.#.####...##.##.######.###.##..##.##.#..#.##..##...##........###.#.##..###..#.##..#.#...##.#.#....##.###.##...###.#.##.#..##..#..##........##....#.##.#.####.####.#.#####...##.####.#.########.##.#.#.##....#.######.##..##.##..###
###.#.##.#......##.####...###..#...#.###.#.###.###.#.#.##...##.#...##....##.##....#...#.##.#..##..#.#.##.#.##......####.####..###...#...#.##.#.##.#.#.....#####.##...........#...#..##.###.###....#.##.##...####...#.######.#####.#.###..#############.##....#..#.####....#.#..#.#.##.#.#####..##.#..##....#.##.#####.##..##..#..#..###.#..####.########..##########.#......#######.##.##..##..#...#.#####..###.###..###.#...##.....#####.#####.####.######...#..#.#.#.####...##.#.##....#.#.####.######.#.#####..##.###..####..#.#.#...##..#.###.####..#.#...##..##..#.####.....#.##...#..##...###...#.#########.#.##.########.#.###........#...###.#.##.##.##.##.###.#.#.##.....##.#######.........##.##...##.####.#..#.####.#.###.##..#.#.#.#.#..###.#######.##.#.#.#..##...##.#######.##....#####..#.#.####.###....##...##.#.###.#####.##.....########.....###.#.#.####.####.#.########.#######.#.##....##..#.#..#.###.##.##.....#####.#####..........#.####..#......##.##.#..##.#
#......#.##.###....##.###...##.###.#.#...####...##.#.#..###......#.#######..###.#...#.#......####.#....#.#.#..#.##.#.#..#.#..##.#.#.#.#...#..#.#..#.##.##........##.#.#.##.#...#...###.....######...##..##.##....#.#.#.##.#.#.#.#.#.##..##.#.#.....#.#..####.##.#......##...##......#.#.......##....##..#.##.##.##.##.###..##.##.######.##.##.#...##.#.#.##..##.#.######.##.#.##.##..#.###..##.###...#.#...##.#.#.#.##.#####..#####.#.#....#.#########.######.#.##.#.####.##.###.#..####...#.#.#...#.#.######.##.###..##.###.##...#.###..##.#####.#..##.#.###.##.####...##...###.#....#...###.###.###.#.#..##.....#..#.##..#.#......###.#.##.###..##.#.#..##.##.#...##.#.#..#####.##...#.##..#######.#...#.####..##....##..#######.#######.......##..#...##.#...#..#.#.##.####.....##.##..#####.#.#.#.#########...####..#.####.#..##..##.#....######.#.#.#####.###...#..##...#.#.#.#..###.....##......#..######.#.##.....#.#...##.#####.##.#...##.##.######.#....##.######...#.##....#
######.#.####.###.##......#.#...##...#####....#..#.#.#.##...#.#.##.#.#.######...#.#.########..#.#.####.....######....##.#.##....#######.#...##.##.#.##.#..#.#.#######.#.#..#.#.##.##...#.#...##.###....##..#####.#.....#..#.....#.#..##.##.#.#.###.....##.#################..###.####.#######..####.########....##..#..###.##.#..###....#.....#.###......##.##..#.#.#.#######.##..##.#.#...##....###.#.#.#.#..#.#...##.######..##.#.#.#.##..........##...........#.#..##..#......##.#.####...#.###.#.#..##.....#.#.#.##..##...###.......##..##......##.........#.##...#..###...####.#####.#...#.......#.##.######.##.#..##.....##.#.#.###.#..####......##.#.....###.#......###.##.####.#..####.#.#...#.###..##..######.###..#.#.#..##.#####.#.##..##.###.##.###.##.#.#.##...##.#.#.....##..#...........##.......#....#.##..##..##..##..#.###.#####...#.#.##......###.#.##..###.....#.##...#.#######.###.###.##.....##.##...##.###.......##.###.#...###.#.#....##.....##..##.##..#.####
#.###..#..##..##.....#.##.#...#..##.##.#####.###...#.#.######.###..........######.#.#........##...##.####.##..######.##.#.#####.##.#..#.###.#.......#####.######.##...########.#...###.#.#.#....#.##.#####..##...#####.##.####.##.##.........###.#####.##.#.##.##.#.##..####.......##..##.#.##.......#.####..##..##...##.#.#..##.#.####.##.##.#...######.....##...#.#.#.#..#..###.##...###..####.#.#...###.##...###.##.#.#.###........#############....##.##.###...##..##.##.###....#.#.####.#..##...##..#####........##..##.##.##.#.##..##..######..#########.#.####.##.....#..#.####.#####.########.#.##..##.#.....#.############.#..#####.#.#######.#....###.#.#.##.#####.#....#.##.#.##.#..#.###.#...#.##..##..###..###.#.#...##........#.#..##..###.##..........#.#..############..##.##########.##..####.###.#....#.####..#.####.#..##..#..##.##....###.#.###.....##.#.#####.#..#####.#.#.##...#..##.....###.##..#####..##..###.####..##...####....##.######.####.##...##......#
#...##...##..###########..##.##.###.#......###.###...#..##.######.#.#####.##.#.#########.###..###.##....#....##...........#.###......#####..####.#.##.##..#......######........#.#######.#.#.##..........#.##..####.......##...#..######.#####.........##.#.#........##.#....####.####.#.....#.####.##..#.##.#..####.##..#.##.##.#..#...#####...#.##.#...##.#####.#.#.#.##.#.##....###.....##......###..#..#..###...##.#.#.#.#####.##..#..#.#...#.###.##...#####.#....##..######.##..........#.##..###..##...###.########..#.##.########.##.##......##.............#########.##.#.##....##.###.#..##....##.##..###.#...##.#.#.#.##....##.##.....##..##.######........#.......#.##.#.##.#.#..##....##.###.#....###.##.#.##...#.##.#####.#.##.####.#..##...######.####.#.#.###.##.#.##.#.##.......###....####.####.#.#.##.#.##.##...##.....####...###..##.###.#.###.##.####.....##.....##.##.......###...#####.####..##.###..##.##.######..##..###.##.##.###....#.#####.#.##.###..######
###.####.###..#.###.#####.#..##.....#####.##.....###.#.##..#.#..#########.##.#.#.#.##..###.##.#.#.#####.##.#..######.####.#...##.#.#...#.##.#.##.###..##.#######..#.#######.##.###.......########.##.###.#.#####..#######.####.##..##........#########.##...#.######.#..####.#......##.#####.#.#....###.#.##.##..##...##.........##.###.#.#.##.####..#.###...#.#..............####.#.####.#####.##...##.##.#.##...#..........##..#####.##...#.#....###########.######.#..##.#..####.##.#.###.#..##...##.##.###.#..##.##...##..#.#.#.##.#.#..#######..###.#######.#..####......###..##.#.....##...######....###.#.####.###.#...#.###.#.......#.#..##.##.###.#####.###...#.##.#####.#.#..#.##.#####..#.#.#...#####..##...##.#...##..##...######....#.#####.#.######.#......#.#.##....#....##.####.#.###.##.#..#.##.######.#.#...###.####.####...###.##.##.##.....##.#..#..#.#.######.#.....#####.###...#..##.####.##.##...##.#...#.#...##.##..##...##......##.###...##..#..#...##..#.#.#
#........#.##.....#..#..###########.##.....#####........#.##...##.........#......#.###..##.##.......##.....####.###..##.#...#.########.............##..####.#....##.#..##.############.#.###.......###........###.###.......#...##..####.#####.#.......#..#.###..###.##.#.########.##..###...######.#.#....#####..###.######.###..#.#.#.#...##...###.#######.#...####.#.#####..##..#.##.#...#.######..........#############.##..###.....##.######.##.#.#.#.#.#.###.#..##.#..##.##.######.###.##.##.###...#.##....##..####.##.##.#.#.#..#.#.##.#..###.#.######.##.####.#..#.##..##.########.#####.##.#.####..##.#.##...#.#.###.#..##.#.#.#.#.#.##....#..#...#.#####.##.#######.#.....##...##...#.##.#.#.#.###.#.##..###.####.#.#..###.####..#####....##.#...#...#....####.#.#..####.####.######..#.#.#..#.##.#.##..#...#...#.#.....#.#.....###..##.##.##..####.##..##...##.#...#.#..#####.##.#....###.##.##..#.......#.###..###.#...#.##..##..###.#..#.#.##......#..##.#.##.###..##.#.#
#.#.####.#.######.##.##..##.#...#.#..###.#....#..####.#....##.###########.####.#.#..###..#..##.###.#######..##....####....#.###.#.##.#####.###.#######..##..###.###.#.##...##.....#.#..#.#...#.#.###...###.#.##.....#######.###.##.##..#....##...#####.####..###.#.........##.#.##..##.#.###..##......####..##...##....##..###.##.#.......#..###..##..##.......####.######....####....#...###.##.######.#.#.#..###.##........##.#.#####.#..#.#...........#.....#.#.##.##.##........##.##.#...##.##...###...#..##..##..##..#..##...#.##.#.#..#.#.##...#.###.....#..##..########..#.##.##..#.#.#....#.#.#.###.......###.#.#.#.....##..#####.#.#.#####.##.#.###...##.......##.##.#.###..###.####...#.........##.#.##.##...#.#..####...####.##..#.###.#..#.###.###.##.#.#......#.#####.##....##..##.#.#.##...##....##.###.###.######.##...#####.##..#..#.#..##.....##.#..######.###.####.....#..##.###....#####.#######.#.#.##.##....###.#..##..##.....####.##.#########..#.##..###..#.#.#
######.#...#.##.#.#.....##..###...#.####.####.##.#....###.##..#.##.##.#.....####...##.##...#####.....##.#..##..##...##.####..##.#.....#..###.#....#.###..##.#...#.#.#.#..###..#.#.....##.###.#.###########.########.#............#..##.##.#########......##.##.#.########.##.......##..#.....######.#...#..#####..####..##.##...#.######.##.##...##..###########....##.#.####.#.##.##.##.##.#.#.....##..#.####........#.#.##......#.#...#.##.###########...###............########..#.##.###....###.##.###.#####.###.####.#.#####........##.#.#.####.#...#####.##..##..###...#.##.#..###.....####.........#######.#.#.#...#.#.#....##..########.#.#.#......###..#####.###..##.###.#.##......###...####.#.###.#.....###.#.##..##..####.#.###...#.####.#.#.#.##...#########.##.##..#.####.####......#..###.####.##......###.##..#...###....##.##.##.##.##.#####.##..##..#.##...#....##.###.#.##...#..##..#.##..#.##.#.#.#.#...#.#.##.####.###..##.##..#####.....##..###...###..###.#...#
##.#.#.#.###.#......###.###..#..#....#.#####...######.##...##......#..#####.#.#..#....####.##..#####......#########..###.##.###.###.#...###..#.##.#...#.###.###.#.#.#.#.#######.#.#.#.#...########...##.....#.##.#..############.##.........#.#.#...#.##....#.....#..#.....##.#.##..##.###.#...##.#####.#.##.#.#.##.##.###.#..###.#.#######.####....##.#.#.#..#####..#...##.....#####.#..##...#.###.########...###.####.###..####.#.###...##.#.###....####.#####.#.##.#.#....######.#..###.####.....##.....#.##..#...#.##.#..#.#######.#........#.##.#.###.#....#.##..##...#........##.###.###....####.##..###.#........#######.##.###..####.#........#.##.....##.#....##.##..##.....######.#...####.#.###.#.#.###.#...#..#.####.##.....#.###.#..#.#.#.....##.####.##.........##...#.#...#.######.#.##.#.......#####.##.#.###.###..#..####..#.....##.....##....##.##.##..#.###.####..#.#......###.######.###.#......#.#.#.#.#.#.....#.#..##.##...##.....##.#.##..##.#.###.#.##...#.###
#....#...#.#...#.#.##...#.##.#.###.#...##....#...####.####..##.#.#...##.#.....#.####.##.......##.#...####.#.##..####.##..##.#.#...#.###.#.##....#####.#...#.##..........##.#.########.#.#.#...##.###.######.#.##.##..##.#.###.......####.####...###########.#####.##.#####....####.##..###.##.##.....#.....#.#...#...#.##..##.#.#.......##...#.###.##....#.#.##.#.##...#..#####..##.#.##.##.#####....#.#.#.###########..#######.....##..#.##.#.#.###.##.##.#.....###..#.#.##..........###...###.##.####.##....##.#.###.##.##...#.###...#.######........##..####...###.##.#.##.#.##.##..##..#.#######.#####.#.#.######.###..##...#...###.#.#..####.##.########.##..###.##...##..####.##.#......#####..#..##.#....######.##.#.#.#...#####.......##.#.#.#.#.#.....##..#..###.#.######.#.###.#.###....#......##.##..###..##...#....#..##.##..##.#.#.#######.#####.##..#...##...##...#.####.######.##..##.#.#..##...####.......######.####.#.##..#..##########..#.##.##.....##....#.#.#.#.#
####.#.###.#.#.########...#.....######..#######.##....#....##..#####.#..#####.###.#..##.#.###.##.######.#....##.#.#...##....#.##.####.....#####..#.##.###...#..##.#####..#.#..##.#.####.#####....##...........#.....###.....#######.###.....##.###.#.##.....##.#......##...######...##.#.###..######...#.#...###.###....##.#..#.#######.#..###.#.#.#####.....##...#######...####.##..........#.#..##.....#.#......##.####.#.#.#####.#..##..................####.##...####.#..##.###.#...###.#.####.##.#..##.#..#.#..##..#.##.###...########.#.#######.####.#.#..###....##########..###..##...######..##.#..#.#..#......##.#####.#.###...#.#.##.#######......#.##.##....##.###.##.#..##...######...##.#.###.#.####.#....##.....##.##.#.#.#####.##.#...###.#####.###.####...#...##.#.#.........#.##.#####.#######.#.##.####.####.#.###....###...###...##...##....##.##.#####..#.###..##.....#.#....###.#...########...##.#.###.#.#..###...###.#.####.#..#.##.####..##.######.#####.#.#.#
####.#.#.#.######.#.#.###.#######..####....##.#..###.#####..####.....#.##..#...##.##..#####......##.##....#####...###....##.......#####.###..#..##.##.##..#...##..###.##.....##.......####.###.#....#########.####.##.###.#.#.##.####.##.##.#..##.......#.#......####..######...##.##....##..##.##.##.######......####.##....##.###.##....##.#.#....##.##.#.####.##.##..###.#.##.#..#######.##...#######.#.######.....##.........##...######.######.##.#.#.##....###..######..###.#####..##...##...#..########...##..##...##.#.##.##...................##....##...#.##..#.#.#..###...##.###.##......###.##.#.##.######.##..#.##########.#...#..#.##########.#.#..#####.##.#.#..#.##.#######..####.#..#.##......#..####..##.#####.##...#.#......#.###..######...#.....######.####.#...####.######..##..######.........#.#..###....#.#.#####..#..###.##..###..##..#.##...####.#.#.##.######.#.##.###...##.###.###.###.#######..#.##.#.##.##.#.#.##.#.##.#..#..##..###..##.#....##....#.#
#....#.#.#.##.........##......#.#.##..##.#.#....######.....##..#####....##...#....###..#.####.##....#..##..##.###...#######.#####.#.#.#.#.##.##..#.##.#############....#.###########.####...######.##.........###..##..####....#.#.##..#.#####..############.###.##.#.##....###.#..###.###..###.##..###.#....###.##.....####..#.#.#.#####....#.####.#..####.##......###.#..........####.#.#.####.##.#......##.#...###.#######.##.#..#.#..##..##......#.#.#########...##.#######...###...##..#..###.##..#####.###.#..###.#.##...##..###.###############.#####.#..#####..##.#.##...#.###..#...#####.#..#..........#..##.....##.#.####.#.#.###.##....##.##.......#.##.##..##...##.#.##...###.##..#.#.##.#..####.###.##.##.##....##...##.####.####.#.##..##.##.###.#.###........#.#..#.#####..##.##..###.###.##..#######.#...##...##.#.#.#.#.#####..##..##...######.#.#..###.#..#...#...##....#.##.##..#.#...#..#.........#.#.##.#..#....#.##...#..#.#.##.##.#.##..##.#.###...########...#
####........#########....#.##...#.#..#####...##.##..######..#.##.#.###.##########.#.#.##...#####.##.#####.##..#.###.##.##.#######.#.#...........##.##..#.#.#.#.#.#####......##.##.....#.###.#.#.#######.#.#.#.#.##.###..##..##.#.#.###...#.##..##.#.....##.#######.....####.#.#.##.....#.##.#.#..##..#....#.###...#####..#.##........##.####.#.##.#.#.##.#...#####.##.....##.########........#####....####..#.#######..##...####.#.##.##....#####.#.####.#.......######.#.#.#.###.#.###.######..##....##.##..###.##.#.###.####..#.##.###.....##..........##....##.##..###.#..###.....##.##.##.....##...###.####.##.##.#.#.##....#.#.....#...#####.#...#####.#......###..##.##.....#.###...###.....##.#.##......#..#.##..##.#####.##..#.####....#..##..#.#......########.###.#.##.#####.##..#.###.##..##...####.........#....#.#............#.##..##..##.##.#.#..#.#.##.#.##.###.###..####.........######.##.#######.###.#..#.##.#.####.####.#.##...##.......##..#.......###.#..##..#.#
#.####.####.##.#.#.####.##..###.#...##..#######..#.##..####....#.#.#....#.##........#..###...#.###...##.#.###.......##.##.##........######.###.##..###.#.....#.#.#.#.###.####...#.###...##......#.#.#...#####..........###.##..........#......###...#####......##..#.#..##.........#.#....#.#.#.####.###.####.##.##...##.#.#######.#..#...##....#.....##.#.###.....#############.##.####.##.##..####.##..##.#..###....#####.###..######..##.#.#...#.##...#######.#.##.........#...#.#....###.##..#.##.....##......#...##..#.#..##.....######..##.#####.###..##..#.#..##...#.##.###.####.##.#####.##..#.##..#........#####....####.#####.###....##.##.##.....######.....##...#####.#.#.#.#.#...###.#.....##.#####.##.###.##..#.#...##....######.#.####.#.######.##..##.####....##..##.#..##....##..##..##.##.#..##.#.######.#######.###.##.##.#..##..###.##.#.##.#.#..#.#.##..#....##....###.#######.##.#..#...#.#.#.#.#...##.##.#..#.#.#.##.#....####.#####..##.#.########....##..##.#
#......##..........#.#...##.#...##.##..##.#...#.##.#..##..####.#.#.###.##.#########.#.###..#.......#..........#.###.......########.##.######....##...#.#####...#.#...#.#..#.#.#####.###.#######.....######.#####.#.#.#.....#..#.###.##.##.#.#...###..##.###.##....####.##..##.##.#.#.##.#.......#.#....####......###.##......##..####.###.#..##.###.###..#...#####...######.#....##.##.###...##..#.#####......##.####..##...#.##.##########.#...#.#########........##########.###.#.###.##....##.#######.########.##.####.....##..###..##.###.####.#.....#####.##.##..###.#..#.#.#..##......#.##.###.#..##.###.####.##..##.#..#.#.#......#####..#.#..######.###..#.###..##.##.#.#...#.###.######..###.###...#.##....#.#..#.##.##.######...##.#.....##.#.##.#...#..##..##...##..##.##.#.####.#....###.##..##.##.#..#####.....##.......######..##..##.##..##...##...#.##...###.####..#.####.#....##...##.##.###.#.#.#.#.#.###...#.#.##.....##.#.#####.#.#...#.##..#..##......####..#####
############.#.#.#.....#.#####.###.##.###.###...##.#.####.##...#.#.#.#.##..##.#.#.#.#.#.#####.##.####.#.##.##.#.##..####.##..............##..##..###...##.####...###.....##...#.##..#.#.#.#.....###..###......#..#.#.#.###.##.#####.##..###.##.##.##..#.#.#########.#.....######.#.#.#..###.###.#.####.##.######.#.#..######....###...#.#.####..#.....##.#.#.#.#.###.#........##.#......###.####.#..#.#######.##..#...##..#........##.#.....#.#.#..##.......##.#.#......#.#...........#..###.##..#..##...##..#.#..##..#.#.#.##########.##.#...#.#..###.#.#.#......#..##...##.....##.###.###.#.####.###.############.##.######.#.#.######...####.#...##.##.###.##.#.#.##.##..#.#.#.###.##...#.#...##....####.#....####.#.##.##.##..#.#.##.##..###.###..#.##.###...####..#######.........##.######...#..##.##.##.##.#.....#.#.#####.#.####.###....###..##.####.####...##.###.#..####.#..#.#.#.#####.####....##....#.#.......#.#......###.###..........#.###.#..##...##..######..##.#.###
#.......##...#############.#.#........#.#.#.###.##.#.#.#.....#.........##.##........#...#.#.####.##...#..####.#####.###...########.##.##..######..###.##...#####.#.#####.####....##.#.#.....##.##...##.##.#.#...##########..###...############.##.###...#.##..#.......#.###.###..#.##########.....##.#.#..##.....#.#.#####.##.###.###......####.#####..#.#.###...##..####.###.#....####.#.#.##.#.##.#.#.#.##...##.##.###########.####.#####.######.##########..####.#.#...###.#######.#.##.#.###.##....#####.#.##.##.##.###.##.#.##....##.###...##.##..#...######...#####.######.##.#.####..#..##..######.##.##.........#.##..#...#.#.###.##.##.###..#.#..##.....###.#..##.##.#....##.####.#.###..###.##......#.##......##..#.##.##...##..##.....#.##.#.##.#.###..#.#.##.###...##.#.##.#..##.#.###.#.##..##..#.#..#######.#..######..#.#.#.###.##.#.##...##...#####.##.#.#...##.#..##.#.#.#.##..#.##.####.###.#.....###########.#####..#.##.###########.....##..####.##.#.#..##..#.#.#
#######....#.##.#.###.#.#..#.#####.##........#...........########.#.##.....########...###.#.##.###..#.#.##....##.####...#..#.##....#...##..##....##....##.##.........##...##..#.##......###########....########..##........##...#..##.###..#.#....#.###.#.###.#####.#####.....#.####..........###......##.######.....##.......#.#...######.#.##..#.###.#.#..####..##..#.###.#####.####.......#.#.##.#.#.#.####.#......##.#..##...###..#.#.####.#.###.#...#.#..#########.#..####..........#........##.#..##.#......#...#.##..##....#.##..#.#.#.###...######...##.###.#.##...##.....#....##..##.###.##.##.#..#.#######.##.#.###.#.###.............####.#.##.######.##....##...#.###.##...#.#.......##.#.####.############.###.#.##..###.##.######.##.##.#.##.......##...#....###.#..###..#.##..#.#.#.#..##..#.#####.##......####......##.#.#.##...#....##.####.##........#.##.##..##.##.#.#.#..##.#..#..##....#######..#..##.##.......##........##...#.#..##.##..##..#.#....##.###.#.#.#
#.......####.#..........##.........####.####...#.#.##.####.##.#...#..##.##.#.########.#.#.#.#...#..##.###..##.#..#.##.#.##...#####.##.####.#####..###.##..###.##.###..###.##.#############....#.#.####...#.#.#######.####.#####.##.##.#.##.#.####...##.....#..#..##.##.#..###....##..#.##.#.#.#...##.#......#....#.#..####.##...###.#.#.##....##....##.#.##..##..####........##.####.#######......#.#.......##.######.##.#.##..#...##.#.#.##.#.#..#..###...#####.#...#..##.#.#..#.##.#.#...#####.######..#.######.###....##..###.######.......##..#.#.#....#.....##....##.##..###.####.#..###.##..##.#..##.#.#.#.######.#.#.#.#.#.#######.#####...##................##..##.##...#..##.##.####.##.......##..#.####..#....#.#.#.###.##..#...##..#.#..##...########.####.#.####.####...##....##.#...#...##..##.#.##...##########..####..#.#.#.###.##.####..##.#.#..######.#..#.###.#..##...#.#.##....##.####.#####..##.##.###..###.###.#..####.#....#.#.####...##....##.#.#.###..##.....#
#.#.##.########.#.##.##....#.##.####..#####..##########.........###.#####...............#.#...#...###.#...##..##....########.#.#.#.####.......##.##.#.###..##.#..####.#...#...##.##.#.##.##.#......####.##........####....##.####...#.#.#.......###....###.##.##.####....#####.####.##.#..###.##.##..##.###.####.####...#####.###........####.####.##....##.####..#...#.####.##.#....##..#####.##...#######.##..###.#.......####.###..#...##.#.##.##...###...#...###.##.#....#.##.#..#####.##.##.##.#...##.##.#.......####..##.#.#.#.####.###....####.####.#####.###.#..#..######........##...###.#....##..#.#...#..#.............#.#.#.####....#.#..##.#####.##.######.##.####.##.##..#.#.##..######.####.#..#.##.####.#.#.#.#...###.###..##.#...#####.#.#.......##..#....#.##########.####.###.##.####.#..#..#####.#.#......######........##.#..##.##..#.#.#####.#...#.##.#...##.####.....##.#####..##....#.##.#.....#.#.##...#.####.#.###########.#.####.#..#####.#.####..##..#.#.#
#########..##.#####..###.#.#..###....####.#####.#.#.##..##.#.#.##....##...#.###.###.#.#.....#.##.##...##.##..######.##.##........###.#####.##..........##.########.##.###...####.#....##..####.#.#.........##.#.#..########....####.....##.###.##...#.##....#.##...##.#####.##..##..##.####...######.#..#...#....######..#....#.####.##.##....#.#...####.##..####.#######....#..####....##.###.###.##....##.#..##.....#####.###..#.##.##.##....##.#..#.#####.###.#......####...#..#.########......#.###..#.#....#.##.##..##....#.#.#...#########..##..##.###.....#.####.##..###.########..###.#.#.####..##...###.##...#.#.######.##.#...##.####.#.##############.###........##..##....##.#.#######..#...##.#.##.##..#.#.#.#.#.###...#.#.##.#....#..##...#.#.#.#.#..##...#.##...#.#.#.#...##..........##....##.##.##..#.#####.##...##.#.#.##.##.##.....##...#.#.#.#.###.#..#.##.##..#.###.##......#.#.######...##.#.#####.#.##.#....#.#.....#....#.##.#.#.##...##...#.#..#.##..#.######
##.#.##.##.#..###...##...#.#####..##...................##..#.#.##.##.####.#..##.#...#.#.#.#.#.##..##.##########...........#.##.#..#....#....###.#.###.##..#.#..........#..####.....##.##.#############.#.#..######.#.#......##......#.#....#......#########.#.#..######.#......###.##..#....#.#......######...####.#.###.####.#.##...#...####.#.##.##....###..##.....#..####.##.#..####.##.#...#....##.###..#.#########.....#.##.#.##.#..#####..#.#.####..##.##....#.##.#####.###.####.#..###.#.#....###...###.####...##.#..##.#.#.###...#..#.##.####.....######....##.....##...#.####.##.#.#.....##.##.###.##.#..##.##.#.##.....#..###.#..##.###.#.#.##....##.###.##.##.##.###.#..##.#....#.#.#.##...###..#.##..##.#.......#..####.#...#..####.##..###.#.########.##.########...#...###..####.#.#.#..####.##..#..##.#.#.....##.#....#.###...#.#..#.###..#.#.....#.#.#...##.....##.#.#.#####.#####....##..###.........##.#.####.####.#.###...####.##.#...####.#..###.#.##..##.#.#.#.##
#..#.#..#....##.###..###.####.#..####.#.##.#.#.####.##..##.###.##.####.##.#########.#.#.#.#.##########.#........##.#.####.#######...##...#.##...#.#.#..##...########.#.##..#.#####.##.#...#.#.#.#.##...#.#.##....#...######.#..########.##.#.#.##.##.#.#.#......###..#..##.##.##....##############.###.##.##.##......#.#..###.#..######.##....#.#...####.#.#.##..##.##.####..#..##.##.#..#.###.####.#..#.##.#...####.######.#.#..#.#..##..##.##......##..##...###.##.##.#..####...#....##...########.#.###.#.########..#.#.#####.....###.##.#....##...###.#.##.####.###.##..###.#.#..#....#.####.##..............##########..###...##.....##..##......#####.#..##..#######..#.#.#.########.#......###.#.##.#..#.###.#####.###.##.##.###.#.####..###.#......#.#.#.#.#.........###.##.##...##.#..######..#.#.##.##.##....###.###########..##.#.#.#.##.#.#.#####.##.#.#.###..##.#####.#...##.#....#.###.##..#########.####....#.#....##.#...#.#####.....##.##.##...##.#...#..###.#......#
##.#.##.####....######....##..##.##.#.###..#####....##.#####....###.##.#####..##.##########.###.###......######.#######...#.......#.#..#####..#.###...####.##..###...#..#.##.##.####..###.#..........#.#.#######.#.###..#.########.#.#...###########.#.....#.##.#.##.##..#########.##.#...###..#...##...#.######.#.#...##...#.##..###....####.#.#.#####.........#####..##.##.#.##.....##.#.#.#####....##.#..#.#.#......##.#.#.##...##.#..##...####.###..#####.###.#...####.#..########..###..#.............#.##.#.####.#.#....######.#...##.####..#####...#.#...#...#.###..##.#...##.##.#...#.##.###############..#.#.##.#..###..#..#####..##.#######..###..##.#..##.#.####.........###.#..#.####.###.#.##.#.##.#.#..#.##.#.#.##..#..##.#.#..####.#.######.#.#.....#.#########....#.####.#..#####.####.#.#.##....##.####.#####.........#####.....####.#.#..#####.#...####.##...##..#.###..##.###..##.###..#.##........##.#...###.##....######..###.###..##.##.###....###.###..#.######
#.......##...##....##..#.####....#....##..####...#.##..#.#...#####...#.#.#.##.#...##.#.#.####.....#########...###.#.#.######.#.##.#.#####.#..##.##..#...##..##...######....#.#...####.......#.#.##.#.###.###.#.....#.##...##.##........####.##...#.#.#####.#.#........#.##...##..###..##.##.##.########.#.#.#.########.####.#....##.####..##.......##.###.#.#.#..#####.#..#.......#.#.#..#.#..##.####......##.#######.##.......###..#.##.##.####...##..##.....#.####.###.#.#.##....###.##.##.####.#.##.###.#.##...#..#...#.####.##...###.#.......##.#####.#.###.###.#.###.###.##.##...####.##.##....###.#.##.#.##.#.#.#..####.####.##..#..##..#.##....##.##.##...###.#.#.##.#.###.###.#.##.######.#.#.#....#.##...##...#..#....##.##......#.##.#.....####....#####.....#.###.####.#.#..#.##.#.##...##.......###.###..##...##.##.#.####.#...###.###.#......##.#.#.##.##.##.##.#####....###.##..#..##...###.#.###.##.########.##.#..##.###.##...##...#.##.##......#.##.##..#.##.#.#..#.#
#.#.#.#....#.#..##....##...####.##.#.#######.###.#..##.#...#####.###........#...#.............##.##.#.#.#.#.#####.#...##...############.....######.####..#.#####.#.###..##.....###.#..#.##.###############.#.#####.#..#.#.#.....#.#.#.##....#..#...#.#.###.#########.##..###..##.####.......#.....#.#.........#.#.#.#....##.###.##..#.###.########.##..##.#.####..#.#..##.####.######.##.#.##.##.#....####.#...##.##...######.##.##.#.#..##..#.###.###.######.#.#######....#..##.#............#.##########.#.####.##.###.#.#.#...###..#....#.###.##.#.##..#.#.#.#.#.#.#.#..#..#..##.#..##..#..####.##.#......#.##.#.#.##.#.##...#...##.##.###....####..#.##.####.........########.###.#.....#.........##.#...##.######.##...####..#######.#.##.#####....###.##...####.##.#.#..##..#.##.#..#.#..###.##.#.###...#.#.##.#..#.#...###########.##....##.#.#######......#.##.#.......#.###.##.#.###...##..#.#......#####.#.#.#....##.#.###..#...#.######...##..###.##...####..##.##.#.#.##.#
###.#.####.#.##..##.#.######.....######.##.......#.#######.##....#.########.#####.##.#####.#.###.##.#.........#.#.###..###.##.##.#.##.###.#..#.#.#######.#.##.##...#.#########.#.#.#######..##.#.##.##.##..#.##......####.#################.######...#.#.#.###..........##.#.##..#..####.##.####.##...##.##.#.........##.##.###..##.#.....#.###.#.....#######..##.#.##.#..#....#.#.#.....#.#..##.###.####..#.###...###.#...#..##....#.##.##.##.##..#.#...##.....#.##..#.##...##..#######.##.#.....###.##.#.#..##......##.#.#.#.###.##.##.#####.#.##....##.#...........#.##.##...######..##...##.....#.######.#.#..#.#..#.#..###...#.#..##..###.#..#.##...........#####.###..........#.#.###.######.##..####.##...#.##...###.##.##..#.##.#.#.##.#.##..#.##...####..###..#.#.#.####......##.#...###..##########.#.#......##.###.##.#...##...#####.##.#.#...#.######.#.#..###.#####.#...##.#...#.####.#####.#####.#.....#.####.##....#..##.###.#.##.###.#..##....#.#..##..###..#.#.#..#.#
##..###....#####.######......#.#.#.......######.##...##.....##.#...##...#......#..#..#.....#.#....#.#.#######.#.#.##..##.#................#.##...##.#.#....#..##.#...###.........#.#.##....##.......#...##......#.##..##..##.#.#.##..##.....#.##...#...#.###...#######.###.#..##...##.####........###########.#######.#..##.#.##.#....###...#.#.#####..#.#.###.........##.##.###.#.#####.#.##.##..#####.##...#.###.#.#...#...######.#....##.##..##.#.#.#..####.##.###.###..#..#####.####..######.##........#.#####.##....#.#...##..#...#####...#.#..#####.#.###.#.###...##..###.#.##.#.###.########.#.#.##.#.#.##.#...##...##.#####.##.##.##.####......#.#########.....###########.##.####..#.#..####.##.......#.#.####.###.##.##.##...........#.#####.####..####.#.#.##.#.#.##.##.##.###.#.####..##.##....#..#.##.########...#..###..###.#............###.#.#....#.#.##...#.##..###.#..###..........##..##.##.#####...#.#...##.###.##...##.#.##..##.#.####.#####.####...##.#.#.#.##.#
#..######.####.#.#......#.##.##########.##.##...#..####.#.######.#.#..#...#.##...##.###.##.######.#.###.##.#..#.#..##.#..#######.#.###.##.#.####.#..#.####...#######.#...#.#.###......#############.##.#############.##..##....#.###.######...#..#####....######........#..##.#..####.#.#..#.###.##.##.##.######......##....#.#..######...#.....#.##..##.#..##.#.#.###.....####.....##.....##.##.##.##...###...##....######.##.#....####.##..##.#..#.#.####....##.#.#...#####.#.##.......##......####.#.##....#..#######.#.#.#.###.###.##..###.....##.##....#...#######....##......#.#..#....#.##...#.#.#.........###..##.###.#.........#..#.##.#####.#####.##.#######....###.......#..##..##.##.##....#######.###.#.#....#.##.##.##.##.#####.##.#.#...#.#..##........##.#.#.##..####.......##.##.##..#.##.##........##..####.##...##...#.#####.##.#.#.#.#.#.####.#.#.####....##.##..##...##.####.##..##.##.#...#.#..###.##.##...##.####..#...##.##.....#.#.##.####.#..###..#.#.#..#.#
##.##.....##.#...###.#.##.#...##..####........#.##....#######.####.##.##.##.#..#.##..#######......#.##..#..##.#.#.##..##.#.#.#######...#..#.#....##....#.#.#..#.#.#..##.########.##########.##.##.#.##..##.##.####.#.###....##.#.#.#.#.#.#..#...###.#####.#..##..##.#.#...###.##..##..#.##.#.###..#.#.....#.##.######.#####.#.##.#.#.#########.##..##.#..##.#..#.#.#...###.##...###.######.#...#..#..###..##.#####.#.##.##...#.####......###.##.##...#..#.##.#.##.#...#####........####.########.#.#######.##.##..##.#...#.#.###.#.##..#..##.#.###..#.###.########......##.#######...##.##.###.#..#.......#.#.##.#####.#....#.####.####.##....#.###.###.#........#...#.####.#######.#.##..###.##..###.##.#.#.#..##.#.####....#....########.##.#..#.###.....##..#.####..#.#.#..#.##....#.###.##.##.##.####.....###.#####.##.##.#..######...###....#######...#.#........#.#..####..###..###.......#.#####.....###.#.##..##.#...##.##...###.##.####.#..##.##.#.#...##..##.#.##...#.#.##.#
#..###.##....###.#...#.#####.####......##.#.#.#.#..#.###.##.#...#.....########.####.##...#####.##.#.###.##....#.#..##.#..#......#.##.#.##.######....##...####.#.#.##..######...#....##.........#..#.##.##..#....#..#.#.####.#..............#######..#.###.#.#########.#.#..#.....####.#..#####.##.#.#####...#.....#.###.#.#..........#.#.#.#...#..###.#.##..#.##.###.#.#......#.##....#....###.##.#.##.#.##...#.####.#...###.#.#..##.###.....#..####.#.##.####.##.#.###.#.############..#............#.#.####..##....#.#...#..##.#.###.#.##..#####.##..#####.#.#.######.#...##.....#.#..##..##.####.##.##.######.........####.#.####.#...#.####.#....##.######.#...#....#.#.#...#.#.#.###..#..##.##..........#.##....#.###.#.#.####.#.##....#.##.#.#.#####..#######.##.#.#.#.##.#####.###......##.#...##..#.#.##......#.##.#....##.#.##.#...###.####...##.##.##.####.##...###.##...#.#####.#.######.#.###.###.....###..#.#.###...##.##.#.#.....#.##.#####.#.#.####.##..#.##.###...#..#
##...###..#.########.#.#......#.#.#.##.######.#.##.#.#......###...#####.##.##..#.....###.#.#...#......#..####.#.#.##..##.######.#..#########.#.##.######..#.#.#.#....###.#.###...######.##.###.##...##.###...##.##.#.#.##...#####.#.###.####.###.##.........#.###.###.####.#####..##....###.#...........###.#####.#.##......####.###.#.#.#.###...###.....##.#############.#.#.#.#####.####.#.#.##.#.#....##.###.#....###.##......##..####.##.##.#.#.....#..##..##.#..##...#..#.#..##.##.#######.####........##..####.#####.#.##..#.#.#.#..##........#.##.##......##########..#######.##.##.###..#####...####.#...#####.#..#.#.#.#.#..###...#.##.####..#.#.#.########.##.....#.#.......#.##.##.##..####.###.#.#..###.##.#.###.#...##....####......#....##.##..##.#.#.#............###...###.##.##....#..##.########.####.#..##.###.....####.##......##.##...#.#####...##.###.#.####.#..#.#..#####.##.......#.#####..###.#.#..#..###...#...#.#####.#..#.##......#..#.###.#.##.##..#...##
#########.#.#...###########.#.#...######......####.#.###.##.#.###.#...........###.#.##.......########.##.#.........#.###.##.....#.####...#.....#####.####.....#.####.##..#...###...#.#########.#..#.##.#.######....#...##.####....#.#######......#..#.#####.#.#.#.#.####.#.#...#.#####.##.#.########.##.....##.##.#....#.##########..#.#.#.#####.#.#####.#..##.###..##....#.#.#.#......#..............##....#...####.#...#######.#####..####......#####...##..###.#.###.#.##...##.#..#####.##.####...######....####..##....#.##.##.#.....##########.#.....######.......##.#.##..##...#......#..##..######......######..##...#.#.#.##.#####.#.##.#####...#.#.#.#.#########.#########.###.#...#.#..##.####.###...###..##....##...######.##..######.####..#.#..##........####.#.#.###.##.##.####....#.#####..#..#.#.#.#.#..##.##..######..#....####.####.##.#.#.#.#...#....#.#...#.#..#.##.##.....#..##.####...##.##.##...#.#.##.##.##.##.###.#...#.##.#..##.#####.##..#..........#######
#.####.#..###.#..#...##.##..####.##......####.###..#..####.....#############.##...#..######.###.#........#####.###.#.#.#..#####.#.##.###.#####.#.##.......###...#.#...##...###.##.##...##.#......##.......#.#.####.#.#######.########.......##.#...####...#.#.#......##..#.#.#.....#.#.##...#..#..#########.......####.######.....##.#.......##......##..#.##..#.#.##############.####...###.##.#####..###.##.####.#.###....#.#...#.###..#...###.###.###.####.#...#...###.##.#....##..###.....##.#####....####.##.##.#####.#.##..#.#####.##...#...#...#####.##.#####.#.......##..###.####.###.####.#.##.##########..####..#.............#..#.##.#..####.#...........##.....######...#.#.###...#.##..#.#...#..###...#####.##..#####.....##...##....####.#.##.########.##....###.#.#..###..##.######.#.#.#####.#.#...#.#.##...#.##..#.##.###.####...#.#.####.#...##.###.#.#.#.#.#.##......##.#####.######.#.###.....####.#...#..##.##.##.##....###.#..#.###..#.....##.#.#.#.##.####..#.#
#......##.#...##.##.###.######....##.#.#.#......#######.#..#.#.....#..........##########....##....#.####.###.###.#.....#.###......##.##...##......##.##.#.#...#.....###..###.......#.####.##.###.########.#.#.#.#....#.#.#....#.##.#####.#########.#....#.......####.###.....###.#......###.##.##.#.#.###.#######.......##....#.#....####.##..##.##.####...###...#.#.#...#....#####.#######...####.#####...##.#.#.....####.##.###....###.#####.......#.#.#.#..###...####...####.#..#.##.##.##.##.#.######..##...#.....##.....###...#......###.###.#.###.##..#..##.#########.##..##....##...##.#.#....##...######...##....###.#####.#.##.##.#..#.##......###.##.#.##..#####..#.#.###.#.#.#####.#..##.#.###.##.#.###.#.#.#.###...#.#####.#..#.#..##.#.#..#.....###..####..#.##...#.#.##...##.........#.#..##.#.#.###.#.#..###.#..##.#.#....#.##...#.#.#..##..#.##########.#.#.#...####.##.##...###.##.##......###.#..#.#.#.###.##...#.##.##.####.....##.##..##.#####....#.#.####..##...#
#.####.#########.##............#.##..#####.#.#.####.#.....##.#.###.#######.#.##........##.#######.####.............#.#.#...####.#..#.####..######..####.#.##.######.#.##..#..##.##.....#..########.#............####.#...##.#..........###.##.#.#######.#.#.#.#.#........###.#######.##..#..##.#...........#.#....####.#####.#######..#.#####.#..#####.#.#..##.#.#.#.###.#.####.##.....##.#.#####....#.###.##...#####.#.#...#.#.##.###....###..##.##.......#.##...###.#..####.####...##....##........##.##.####.#####..##.##.#.###.#####.##.#.#.....##...##...##...####.##..###..####.####.##.#.####..##.##....###.#######.####....#.#.......##.#######...##########.#.####...#.#.....#.#.#...#.##.....#...#....##.....#.#.#.###..##.#.##.#######.#.##.####.##...##.##########.#....###.######.###.#.#.##..#.#.#.....#.##.....##..#.####...####.#.#.##..#.##....##.#.#..#.####.##.#..####..###.#.##..######..#####...#.#.#....##.##..#.##.#.######....###.#..#...##.#######.###..##.##
###.#...#######...#.#.#####.##.#.###.##....###.#..#.#####..#.###.....#..####.####.####..#####.#.###....#.#.#.#.#.#.#.#.###.#..####....#.##.##.##..##..########.##.....###.########.#####.##.#..##....#.##.#.#.#..##..#.###########.##.##................#####.####.#.#.#..####..#.######...##..#.##.#.####.....#########.#########.##....#.#..##...#.#.###.#####.#.#.##.....##...#####....###.#...##.......##.###.......###.#.#.#..######.#.##.#...#######.#.####..##.##..##...#.###..###.##########.#......#.#...###.######.#.#.#..#.##.##.#.###.####.###..#..##.##.#...##..##.####...##...#.#..####.....####.#.#..##.###....#############.##..#.#.....####.##.#.#.........#...#####.#...###.#..##.##.###.####.######.#......##.##....##..#.#....#.#....#...###.#...###.#.#.....#.##.#..#...#####.#....##.....#####.#..###.#####......##.##.####.#.#..##..#.####..#.##....##..##.##..##..###....##.##.####.##.#...#...#.#.####...##.#.......##..#.####.#...##.###.....#.##..##.##...#
###.###.#.#...###...####.....#####.#####.########.....###.##.#...#.#...##.##.#.####.###.##..#.......#.################.##..##..##..##...#......##..##.####.##.....#.#......##.#......#.#.##.##....#.#######.#.##..##.#..##.#.####..#...#######.###.########....##..#.#.####.###.....#.###.####.########.#..#.#.##.............#.#...####.#.#.#####.#.#..#....##..#.#..###.#.#..#...######.###...#..#######....#.#######.#.#.#.#.#.##........##.###..##.......#.###.##.#..#####.#.#.##.#...#..........######.#.###.#...##...........##.#..##.#.##..##...#.#####.##.#..##.##..###.##...#..###.#.#.##..##.##..#...#.#.##....####.#...#.#.####...##.#.#####.#.#..##.#.#########.#####.....###.###.##.##.#..#.....#...#.##..###.#.##...###.###.##.####...####...#.#...#.###.#.#.#.###.####.##.###.##......#########..##.....##...##.#####.#.##..#.#.##.....##..##...##.##.####.####.....##..##.#.##.###..##.#..#.##.#.#####.#........#.##...##.######...#.#....#.#..##..#.#.#..##.#...##.##
#.#.#.......#.....#....##.#.##.....##.####...######.###....###########.##.####.#.#......###.#####.#####.##.....##.#.#...##....##..#####.######..##....#.#..#..###.####.#.#....####.###.#.#..#########.#.#########.#....###......#####.##.#...###.###.#.##.##.##############..###.##.#.#.#..#.#.##.##.#....##############.####.#.###......#.#..#.#..#.##.##.#####.#.#.##.###.######..........########.#...####...##.#.##...........####.####.##.##..#####.###.#.#.#.##.##.#..##.....#..#.#####.#.#.##..............###..###########.##.##.......##..###.#.#.#...##.##.#...#.##....#.####.#...#.#.##.##..###...#.....####.##..#...#.#.#.#..#.####.............##.....###.......##.#####.....#.#.##..####.#####.###.#..##.#####.####.###..#...#...###.##.###.######...##..#.#.###....##..##.#...#######..##.#.####..###.######.....##.###....##....####.##..####.##..##.#.#...#.####.##..##.....#...##..#.##......####......######.#.##.########..###.#.#.#######.##.######.##..###..#..#
#...####.##.#.#####.#.##..########......####.#.#.##.##..#.###.#............##....######.......######.##..####.##......#..####..########......##.#####...##.#.##...#..########..##..#.#.#.##.#.#..##.............#.####...###.##.#.....#..###.##..##..........##.#.........##.#.###....#.#.##...##......#.##.#.##.###.....##...#.#.######...#.##.##.#.##.##...##....#.##.##....#....#.#.##.#...####.#.##.##.##.####.#..######.##.#...####.#..#########.....##.#.#.#....##.#.##..###.##.#####...#######.#.##.#.####.##..##...###.#.#.##..#######..##..##.......#....##...#....###.#####.#.###.#.#.##..####.######.##..##...##.##.##.#...##....#.##.#########.#######.#.######.##...#..#####...#.###..##..#.###..##.##.##.#.##..#.#..#.##.##.##.###.#.##..#...##.#..#####.....##..##....###.###.#.#.....###.#.#.##.##....#.###.#####..##..##..####.##.#.##.##.#..###.##...##.##.#.##.###.#..#.#.#.###..##..####.###..####.#.....######..#...##.#.##.#.#.#.....##..#...##.##....##...##.##
###......##.#.#.....#####.##..###..##.#................#####..############.####.##.#.####.###.........##.#.#.....#.#.###..####.#.#.##.##.###........###.......##.###........##.###.#.#.#.#....##..####.########.....#..#######..#####.##.##...##..#########.##..#########....#..##.##......###.###.##.##.#.......#.###.#.#..#............#...........#..####..####.#.#...####.###.####.#..##.##.#.......#..##.##.#.#.##...#####.###.#.#..##.#.##..#.####.##......###.###.#..##.#.......##.######.##.#####..#.#.....##..#.#.....#.#.##.##.#.###.###.##############.#..#.##.#...#..###.....#.......##.###..##.....##.#####.##.####..###.#####.#..####..........##....#.#....#.####...##.....#....#..####.#.#...##..##.##.#..##.#.#.##.#......#.##..#..##.###....##....###.#.########.###.#.##......###.##..#.#.#...####.#.#.#..##.##..######.###...#.#.#.....##..##..###.#...#.#.##..##.#.####.#.#.##..#.##.....###..#.####.##.#.#.###.#.####...##.#.#.##.#####.##.####.#####.###.##..##
#...#.###########.#....######.....#################.####.##..##..............##.#..#....#.#...#######........#.#.########.............####...##.###.#.####.#.#####.#.##.#.#........#...#.###.####.##...####.#.#####.#.###..####.##....#.....#....##.##...######.##..##..##.#.#.##...####.#..##.#.##########.####...###.####.################.##.#.##.##....##.#.##.....###.##.#.########.##.....#######.##.##.##......###.....#####...##.##.#..##.#..###########...#.##....#######.##.##..#.##.........#..########....#####.##..................#..#.#.##..###....##########.##.##.##.##.####.####....##..#.###.##...##..#..#.#..##...#.#.....##..########.#######.#.####...#.#..######.#.####.##.#.#..#.#.#..##..#.##.##........##.######.#.###...##..####.####.####...#.#.#.#.#..#.#.#.#########....##.#.#...###.##.#.#.#.##...##..##....#.###.#.#...###.#..####.##..###.#.#.##.##..#.#.####...###....###.#...##.#..#....###.#..#..#..#.###.#......##...#.#.....##...###..#....##..#
##.####....#.#.#..#.####......##.##.##..#####.##.##.#.....##..#########.#.##..#.##.####.#####.#.......#############.#.#...#.#.##.####.#.##########..#.#....#.#.......#########.#.#...###.#.#.#.#...#####......#.###.#.#...##.#...####.##.#.#####.......###.#.#...##..##.####...#######...##.#..#.##..##.#.####...#.#.#####..#.....#.#.#.##...####.#...#.####....######.##...#.#..#.#..#..######.###...........####.##.....###..##.###.....#.#.##..#.##.###.......#...##.####....####...##....#####.#.#.####.#.#.##.##.#.#.###########.#.##.##.#...##.#.##.##.####.#.#.#.........#..#####.#....#.#####.##.####.###..#####...##...#####.#...###..##.#.##...#.##.#.#.......###.#.##..##.######....##...##.#.###.####.#..#.#######.####...#.##.#.#.###....##.....##...#######.#.#.#.##.#.#.#.#.#.##.#####.##...#.#.###..#.#.#.#..##.###.######.#..##.#.##.##.####..#.#..##.#.......##..##...#.#..##.##...##.#.####.##..##.####..##...##.##.##.#...##.######.###.#.##.#####...##.###.####.#
#..#....##.....####..##############.#..##.........#######.###.#.###.#.#######....#.##....##...##.##.#.#######...#.......#.######.####.....#.#.##.##.#.################.........#####.##......#.##.##.##..####.#.#.#...#.#.#..##.###...#######.########.#.#.#.#.#####.#..#.#..#..##..#..####.##.#.###......##.#####...##..########..........#.#.######....######..###...####.#.##.#.##...##........#######.##.##.#####.#.#.#.##......#####...#..##.#..#.#...##.##.#.#..#.#.#####.#....#..####.##.######.##.......#..##.#.#.##.##.##....#..########.##.#.##..#.#.#......#.#.#####...##.#...####.#.#.#......###..####..#.###.#####.#.#.#.#####.##..#.#.#..#......#.#######.##.......##....##...##....####.#..#...##..#.##..###..#.##.#.#...........###.#######.####.##.##.#.........#...#.#.....#...........#####...##.#.#.#.#.##..##...##.#..##....#..#.##..##..##...###.######.####..#.###...##..###.##..#..##...##.#..###..##..####.##....#.#....#....#.#.#.#.####..##.###..##..#.#..#
####.#########...##.##..#.#.##..#.#.##..#.####.##.##.##.#.#.#.#.#..........#..##....####..##.#####..###.....###.#.#.#.#.#.#......#....###.....#.........#.#.##.###.##############.##.#######...##.##..##.#........##.##.####..#.#.###.#.#............#.#.#.#.#.#.#.....##.####.####.#####.........######.##........#..#.##.##...######.#.#####...#.##.#.##......##.###..##.....#.#....#..####.###...###...##..#.#.##..#####....#.#.##..####.##..#.##.#.#########.####.#....##.#.###.###.##.......##.#...#######.####......##.##..#.#.###.##....#.......##.##...###.#.########.###.##.##.###.#.....######..#..##.###.#.#.#..##...#.#.#.#.###....##.#.#########.#.#.#........####.####.#..#########..##..##.###..##...##.##.##.#.##.####.#######.##.#...#.##...##.....##.#########...###.#####.###########.##.###.##..#........#.##..#..#.#.######.##....##.##.#####.##.....##...####.#..##.###..##....####.#####......##...##..###.#.##.#########.#.####.#.#.#.#.##.##..##..####.....##
#.######.####..#..#####.#.#.###......#.####.####...#.#......#.#.##########...####.#....#.######.###########..#..#########.##.#.#.#######..#.#.##.#.#.##...#.#.........##..........#...#.##...#.#...##.#######.#.#..#.#...#.##...#.#.#...#####.#.####.#.#.#.#.#.#.#####.#....#..##...###.########.##..#.#..########.##.........#........#.#.....#......#..######.##.#.##.#..##.##.##.#.##.#....#...###.###.###......##.#.....######.##.##.....##.#.#......#..#....##.....####..#.#.#.#......#####.#....#..####.#...##.##.#.....##.#############...#####.##.####..##.#######....#.#.##.##..#..#.######.#.##.##.#...##.#.#...#####.....#.#.#.####.#..#.##....#.#.....######.#.#.......####..#........####..#.#.#.#####.##..#.#..#.##.##.####.###...#.#.###..##.####.#####.##......##.##.#.#.###.###...#......#.#.#..##.#####.##....#.###.#...#.#.#...####..#.##...##...####.##..#..#.....##....##..####..##....##..####..###..##.#.#.#.#.....##........###.#.#.....##..##..##..###.######
#..##.........###..#.##.....#.######.#.#.#....####.#.##.###...#.#.##.##.#..###########.#..#.#....#.##.#.#.##.##.##.#......##.#.#.#..##.######..##########.#.#######.#..#.#.#.####.###.#.####.#####.##.#.##....####.#.###.#..###.#.#.##.###.######.#..........#.#.#.#...####.##..###.#.....##.###..##...##.##..##.########.##.####.#.#.##.###.#.######.##..##.##.#.....#.##.#####.#..#############..#....###.#####.###########.#.#......##.##..#.#.######.##.#.#########..##..##.#.####.#.#.#.....####.##....#.###.#...#.##.##.##..#.#.#.#.###..#.#..........###.#...#.#.#..##........###.##.....#.#....##......#....#.###..#.######.#..........#.##.#####...###.#####..########.####..##.########..#.##.#.#....##.#..##.#.##...##....##...#.#.#.#...#.##.#..##....##.#.#######.....#.#.#.....#.###.######.#...##.#..#..####..######.#.###.......###.###.#.###.#####.##....#####.#.#######.###..##....######..####.###..###..#.#.#.#...#.#########.###...#...#.#####.##.####..#.....#.#
##.############...##..#####...##.#.........##.............###.....#.......###.##.#.##....##.##.#....#........##.#..####.#..###.####.##.####...#######.#.#.#.##.#.#####.#######....#.#.....##..##.#.##.#.###.####...#.##....###......##.##...........#.####.#.......###.##......##...####.##......#####.#...##.#........#######.###########...#.##..##.###.#...#...#####....#.#.#.#####.####.##.###.#.#.##..........##..#...#......###.#######.#...##.#......###.##......####.##.#.##.#.#.#.#####.#..#######.#.......###.#####.##.##.#.#.#.#.#######.#.###.###...###.....####..######.#.#..###.###.####.###.#.#.#.##...#.##.#.#.#....###.####.#...##.#.#.###...#..##.#.###.#.#....#.##....#..#.####.#.##.#.###.###.#.###.#..###..#.#######.#...#####...##.##..###.##..#.#.#########.#.#.#.#.#.......#.#....#.#.#....##.##.###.#.#.#....#########.###.....#..##..#.#...####..##.#.......##....##..##.###..#...####..#.##.#.#.##.......#.#.##......#..###.##.#####.##..##.##.##.#.#####.#
#.....#.#.##..###.##.##..####.##.#.#.###.################.#...#.#...#.###.#....#...#####..#.#######.#.#.####....#.##..##########..........###.##.#.#...........#.#.##...#.#.#####...##.######.##.#....#.#...###..#......##.#.####.#.#...########.#.##.#....#.#.###.##...######..###..#.#..######.#.##..#.###....######.#.#.##....#.#.......#.#####.####.....#...#.....###.##.#.#.#.##..#.#..##.#...#.#.#####.#.#.#..##.###...###.###...#.#....###......#.##..##..##.#.#..##..##.#..#.###.#..###..#.#####......##.#.##.###.....##.##.#.#.#.#..##.....###.....###.....#.#..##..###.......##.#.....#.#......############..........####..####.#..###..#.#.#..####.#.##....#.#.#.###.##.#####.##.#.#......#..#.##..##.....#..##..##.##....##...###..#..###....#..##.#..##.#.................###########.#.####.#.######.....#.#.#.#...####...####......#.###.#.####.#.#.#####..##..#.#########.####.##....##.###.##.##.#.##.....##.##.#.############.#.##.#.##....##.###.##.##..#.#..#.##.#
##.##........##...##..##.#.#...#.##########.#......#....#####.####.#####..####.###...#.##....##.#.#.#######..##...##.###.###.##..#.#.####.#....#.#.##.##.#.#.#......##.##.#.#.#####.....#.#....#.#.##.#.#.###.#########.#....######.###.###.#.####.##.###.####.#......#.....##.##.##.#.#.##...##....##.#...######.............##.....##.##.####....#.###.####.#.##.#####...#.#...#.###.#...##..###.###.#.#########.##...####.#...#...#...##.#.######.#######..##.#######.###..#.##.#...######.##.#.##.#..####..###.#...#..###.........#.#.##..###.#.######.#######.#####....##.#######.##...#####.######.###..#.#.#######.###.##....##.#..####...##...#.##.##....####.#...#.#.......###..#....######.##.#.###.######.#.##..##...##.######.#.#.##.##.####.#.##..#.##..#.#.#.#######.##.###.#.##.....#.#.#.....#.####.####.......#.#....#.#....###.##.#......##.......##.##..##.#.#.##..##...##..####.##..##..##....#..####.###.######.##..##..........#.#..####..#.#.#...##...##......#
########.###..###....##..#.###....#.#..##...######.###.#########.###.#.#.##......###......##..#...#.##.#....####.##........#.#..#######.....##...#.#..########.##.#.................#.#...###.##.####...####..........######.#...#..##..#.#........#..#...#.#########.#.#.#....#..##......###..##.###..#.###..#########.##########.###..######..##...#.###########.#.##..###.###.#..##.###.###.#.#.##....#..#.#.#...###.#....#.#.##.###.#####.#.#############.##..##.#.#.#.#.##.#....####.##..#..#.##.######..###..###...##...#######.#....##...#####.##....#..###.#.....#####.##.#.#..##.###.......#.##.#.##.#.....####..#......##..#.##..##..#..###...##..#.##..###.###.#.###.#####.##.####.#.#.#.......#.#.#.##...#..##..#.####...##.....#.##.##..###....#.##..##.########......##.##.......#.#...#.###.###.#....#.######.########.######.#....#.##.##.#####.######.###....#....##..##.##..##..#..#.##..######...##.##.##....#.##..##..####.##.####.#.###...##.#.#.#.###.###.####.#
####.#...#...##.####.###.#.#.####...##..###.#.##.......##.#......###...######.##.....#.##.###...#....#.######.....######.###.######.#.#####.####...####...#.####..###.######.####.######.##...#..##.###.##.##########.###....###.##..##.....##.########.#.#...##....###.######.##.#######.#.##....#.##.#..#..##...#.#.########.##########.##...##..#.................###.#...###...##......#.#.#...#####.##.#.#.##.##...#############...#.##....#..##..#.##.#..##.#....#.#.#.#..####..##...##.##.#....##.....##...##...#.######.........####..###..#...####...##.#####.###........#.##......#######........##.#.##.##..#.##########.##.#..#######.##..#.###...###.#...##.....#...#.#..##.##.#.....#######.#.#.#.####.#.####.#.#.#..######.#...#..###...####......##...#.#.##..##.#.#..#####.##.###.#....##..##.####.....##...#####.....#...####.########..#.##.....##....####...####..##...##..##.##.#....##.##.###.##.#..#..####.###.###..##...###......#.###.#..#.#.###.#.##...#####
##.#.#######.#........##.#.#.##.###.##.##.#.#..###.###..#.######.#.###..##..#######.####..#...######....########.###.#....##..##.#......#####.#..#...####....##..####.#......#....#..##...###.##..#.#...##..###.##.#....####.##...##.#####.#####........#####..####..#####.........##.#......####.#.#..#.##.##..#..............#.##..........#..##.#.#.###.###.#####..#..#.#.#...######.##.#.#.###.#.#.#.#......##.####.##.##.#.#.#####...#####...####........##..#.##.....#...##.###.###.##.....####..#.########.#..#####.############..#.##.#.##.#.########.....##.############...#####.###....###.####.##..####..##.###.....##.#.##.##.##..#....####.#.#####...###.######.##.##.##.#...#.###.#...##......#.#.#.##.#...##.#.#.##..#..######.##..##.#...###.########.#.#..##########..#.############.#....###.##.###.###..#...#.#####.#.###.....#.##.#..##..##.######.###....#...###..##.##..##..#..#.#####.#..##..##.##...###....#....##.####..##.######..#....##.#..##.#.##.###...#
#......##..#.#####.##....#.#.#...##.##.#......##.####..##...##......##.####.#.....###.###.#.#.##.....##..........##..####..##..#.######....##.######..#.####.#####..################....#..#..###.#.###.###.#......#.##..#....##.###..##.###.############..###.#.###.#.##..#.#.###....#####.##..#.#.##.#..#..##.##.#.#####.###.#..###.######.#.#####.###.###.###.#.##.##.#.#####.#..#####......#...........#.##.##..##...#.#..........###.#.####.##.#..######..##....#####.#.#.#...##.#.#..#####.##.#.#####.......##.#........##.###....##.##.#.......##...#####.##..##..#.#.##...#........####.##.###.....##..#.#.##....#####..#.#.#......##.###.##......#.#####...#.#..##...#.##.##.###.#..######.#######.#.#......###.##...#.#..##.##.#.......#####.#..##..##..#.#...#.#####.#.#.#.##...#.###.##.######.#.#..#..#...#####.###.##.#..#..#####.##.##.##.###....##.##....####.#.#..##.##..##.####.##...#...#.##.###.#..####.#.#.####.####..#.#..###.#.#..##.#.####..##.##....#.#.##.##
##.###.###.#.###.#######.#.#.###.#..#..######.....#.##.###.########.....#.#.#####..#......#.##########..#.######..##.##.##..##.#.#......##.....###.#.##.###....####.##.###...##..##..#####.##.#.#.#..##.#.#.######.#####.####.##.##..##...##.#.#.......###.#............##.#######.##........##.#...##.##...############.###...#.##.###....#.#.##....#....#...#.............#.##.#.##.##..####.####.##.#.#####...#.##..#.#...####.###...............####.#....###.#######....###.#..#.#.##.......##....##.###.#.#.#####.##.##......####..#.##.######.##..#........##.###.#.#.#######.###.#..##..##..####.#..##.#.#.#..####.#.##...#.######....#.#.#####.#.#.#.#####.#.##.####.#....##.##..#.##.#.##..##..#....######.###.##.#.....###.#..#######.##.#####.##.##..##.###.#.##..#...#...####...#.#.##.####.#.#.##.##...###.##...#..##.##.##..##....#.##.##...####..#.#####..########..#..##....#.#..####...###.##.#.....##.##.....#.##..##..##.##.#.#.#.#.##.......##.##.####.##.......#
#..#....##.#.#....##.#...#.#.....##.#.##.##...###...#..#.#.##..#.######.#.#...#.##.##.#.#####...###.#..##.#..#...##..##..#.##....####.#####.##.#.....##.#...####.#..#....##.###.########......#...##.#..#.#.##......#.#..#.#.....#..###.###....#######.....###########.######......#..##.###....###.......#.#.###.#.##.#.##..#...##...####.#########.##.#...#...####.#.#.##.#.#..#.#..#..###...###..############.#.#####.#.#.##...#...##.#.##.####.##.#..####.#.####.#..###.#######......#.#.#.#..####.#....#######.##...###..#.##......##.##.##..#...###########.#..#.#.#.#..##.#.#.#...##..##.###...#####.##.#.#.##..#.#.#.####.#.#.#.#####......#.####.#.#.#.......##........##.##.###.#.##.#.###..##.####.##.#.....#.##.########....##.#.....##..###...#..##..#..##....##.###.###..#.###...#.##.#.#.........####..##..###.#.###.....##..####.#....#..#.#..##.#..###..##.####.##.#.##..####.##..#.#.####...#.####.##...##.####.##.###.###..#.......#..##.#######..#..##.....#.###.#
######.##....####....###.#.#####..........###.#####.##.#.#..##........#.....#....#..###########.......######.###.###..##.#..####.#.###########.###.#......#...##.##.##.###.......#.#...######.#.###..#.##....######...##.#.#####...###..#.####.#.##....###.#.##.........#.#.###################.....#.###.###.#...#.##.#....####.###.##.#..##.##.#.#######.##.###....#####..#.#.##.##.####.###.#.####.#.#..#........###..###.#..#.###.#..###..#.......##.##.#.#.##...##.#.#..#.##.#.#.##.###.####...#....######..#..######...##.###.###....#...##.#.#####......#..#.##...#.#.##....#####.#..###...##.##.#...#..#.#.###.#.#.#.#..........#.##..#.##...#.#......#######..##########...#.#.#...##.....##....#.#..#..###.###.##..##.##.##.#.#....###..##.#...#...####.#.####.#........###.##.#####.#.#....##.######..##..##..##.....#.#####.###.#.##.####...#####..#.#.##.##..#.#.#..##.#..##...##..##.#.#.##.###.........##.##...##...#.#.#.#.##...#######.##......#.##...####.##########
###.....####.#..#.##........##.##.##.####.#.#.#............##########...##.##.##...###.##.#.#.#####.#.#....#.......##.##...##....#..##..##.#.......####.#.#.#..........##..#####.#.###...##.......##...#####.##.....#............#...##.#..###.#.####.###....#######.##......######.##.##...#...#######....##.###.#.##...#####....##....##..#.#.....##.....#####..##.##.###.#.#..#.#..##....#..#.#.#....##.#######.##.##..#####.#.#...#.###..###.##.#..#.#.......###.#......##....######..#..##...#...#.##.##.##...##..#.########...#...##.#.###....#.#.######.##.#..###.#...#####.###...##...###..#.#..###.##.#.#.#.#.....#.##########....##.#####.##.####.###..###..####....#####...#.###..#####.#####...##.#.###...##..#.##..##.##.#####.##...##..##.####.##......#.########.#...#.##.#.#...#.####.######.#..##..####..##.##.#.#.##..#......#.##.##.##.##..##.......##.#...##.##.##.##.###..###.#.#..#.#...##.####.##.##.####.###...#.#....#......##..###.##.#.##.###.##..###.....#
#.#####........########.###.#..########.....#########.####.#.##....###############.#.#.#..#.#.#.##########.####.##.......#######...####..#.#####.#.#....#######.#.#.##.######.##.#.#...#....#.#.#..###..##....##.##.#####.#.#.#.###.##..#.##.#...#.#####..##...##.##########...........#..#...######.#..##..#.#.#....######....#.####.#####.#.#####.###.####.#...#####....#...#.##.##.#####.##...#.####.#...##.#.#.#..##.##.##..#.##.####.##...####.##.....####.##.#.######.##.#####...##.##.##.#####.###......###.###.#.#.##.###.#.#.#.#..#..##.##.....#..##...#.#.##.....###.###...######.######.....##......#.#.#.#####.#.##.#..##.#.#######..............###.#.##..#.###.##.#.###.#.#.##.##....#.#.###......#.##.####.#..##..#.##..##.######..##....#.##.####.#.##.##.......#.#....#...###....##.........##.#..##....#####......###.######...##.#..##.##.#########.##.#.###..#..#..##.#.##.#.#...##.#.######.#.......##.###..###.###.####.##.#####..##.#..#.#.#..##..##.##.##.####
#....#####.#.#..##......##....##...##.####.###......######.#.#####.#.#.#..#.##.###.#.#.##.#.#.....##.#.#.#.#.#..#..#.###..#.#....#..#.#.##..#.#########.##.#....#.#.#.....#.#.##.....###.#.##.#.##.....#####.####################....##....#.#.#....##...##..#.............##.##.#.#.#...##.###........####...#.###.###.#.####.#.##.#.####..#.#.##....#####....#.#..#####...#..........##....###.#.##.....#..#.#.#.#.##...#..############....###....#..#####.....#.#..#.##...#.#.#.###.##..#######.....#####.###....##........#.##########...###.######.##....#......#.#.#..#..#.###..#.##...##..#####..######.#.#.#..##...#.#....##....##....####.###.#####.#........##.#...##.#.......#..#..####......#######.#.##..#.#...##..##..#.##...#####.#####.##....#....#.#...#######.######.#.#####.##.#..##.####......######.#.#...####..##..#..#..####.##.##.##.#..##.#...#..#..###.##.#.##.....#.#.##.##......##.#########......#.##.#...#.#.#...###.#.##.#....####.##..#.##...........#
##.#.......####..#####.##..##..###.........#.######.###.......##.#.....##...#.................#.#..............###.######.#.#######......##.#..#####..###....##.#######.#......####.##...######.######...##..##.#..#....###....###.#..####.#.######..###.#..###.##.##.#.##....#########.###.##..#.##.#.#..###.#.#.#.#.#.#.##.###.##.#.#.#..##....####.##....##.#.##....###.###.#.#####.#####.......####.####..........###.#.##.#.####.#.####.#...###############.#.##.#.####...#.#.#.#..#.###......##.##.#.......##.##.######.#.##.#.#.#.##.##.###.......#.#######.########...##.#.##.#.#..#.###..#..##.#.#......#.#.##..###.####.#####.##.####..###...##.##.########.##...#..#.#######.##.#.##..####.#...#.#.....##.##.#.#..##.#..##.####..##......########.###.####.#..###..####........##...#..#######..#.####...##.#...#####....####.##.##.##......#..##.#.##..###.#.##.##.#.##......##.##.#.##.###.#####...######.####.###.##.#.###.#...#..##...##.#.####.#...##...###.##########
####.#.#.#.##.#.##..##########.#.#########.#.#..###.#.####.##....#####..###...##.##.##.####.#.#.#.#.##########.#.###....#.#.##..#.######.##.##.#.#.##.####.#######..###.#####.###.######.###.####.##.###.##.##..##...##...####.....##..##....##.#.#.##.###.###..#..####.##.##.#.......#.##..#..##########.#.....#.#.#.#.#.#...#...#.#.#.##..###.##.....############.##.....#...#.##....#.#.#######.#..############.##..##.#.##.#..##.......#####.#....................#..####.##.#.#.##.....#########.##.######.##..#####.....#.#...............#######.####.##....#.##.#.##.##..#.##.....##...##.##.##.#.######.#.#.##.##...#.#....##......##..##...#.#..#..#.#.......###.##...#.#.#...##.#..##.#.######.#.#####.##.##.#.####..##.#..#.#..#####.####.##.#...##....#####...##.###..###.#####.#.##...#...##.####...####.#.#.#...####..##..#......##.###...###.#.###.##.....#.##....###.#######..#.##..#...##...#..#..........#.#.##...##..##.##.##..###..#....#.##.####.##.#........###
#.########.#.....##.#.#.#.#......#.##...#....#.##...#..##...##.#.......######.#..##..###....#.#.#.#.##...........######......##.#.###..............#..#.######.#...##.#.##.....#..##.#####....##............##.#########.##.########..######.##.#.#.#....###.#.##.##....####..##.##.#....##.##....##........#.#.........#.###.###.#.#.#.#..###..##.###..###..........##.##.##.##.#..##.#.#.#.###.....##...#.#...#####.##..#..#.#.##..#####.##.#######.##.############...##.......#.#.#..#####.#####....#..##.######..##.#####...####.#.#.####.#..###.##..##...###.##.##.#..#.###....#####.###.##..#.....#................###...####.#####.#..##..########.##.#.#######...#.####.....#.#..#.#.##..#.#.#.#....##.......##....#.##.##...##.##..#.#...##..##.###..##.###.#...#.##.#.#####...#..#.#.####.##.##...#.###.##...#.####.##....####.#.####..#####.###.#.#..##.##.#.###.#..####.#...#.####.#.##.##.###..#.##...##.#.###......###..##.##.######.#.##.#.####.##...#...#.#.##.#####.#
#...#.#.########.#........######.#.####.####....###...############.###..#..#########.#...##.###.#####..#####.#.#.#.#..####.#......#.########.#.###.##...#.#..#.###.#..########.#.##..#.....##.####.#.######.#...#.#......##..###.####.#####.........#.######.############.######.#..###.###..##.###########.#.###.#.###...........#...#.##.#.##.######.##.##.#.#.#.#..###..#...######............###..###...###...#.#..##...##.#..#.#####.......#.#.#######....#.#.####.#####.####.#.#.##..#..#.....##...##....#....##....##..###....#####....#.##.#.#..#####.#.#.##.##.##....#..####.#####...###.###.#.###.######.###.#.#.#.###.#...##...####..##.##.##........##.....#.###....###.####......##.....#.####.#####.##.#####.#.##.#..###...#.##.#.#.###..#.#...##......#.#.#......###.##.##.######.#..##.#..#...#....###....##...####...##.###.#..####...#.#.....##..####.###.##.#.##...###.#.#........#..#################...##.###...##......##..#.#.##.#.#.##..###...###....###...#.#
###.#...#..####....####.#...###......##.##.###.##.###...###############.##.#.##.#.#..#.#..#######.....####...#####...##.####.##.#.#..############.....#.#.##.#.##..##..#.#.....#..##.####.##....####.#........###.######.###.#.........##.#######.#.....##....#..#...#......##.########.#.##.######.###.....####..###...###.#####.###.........#..##..#.#...#########.########.##..##########.#.######..####.#.###.#.##..#.###....#####....#####.........#.####.................###...#..##.##.#########.######.####.#..##.#..###..#############.##...##.##...............####...##..#....#..#......####..#####.###...###...#..##.###..###..##..##......#######.######.###########...#########..#####.#.#.##.#..####...###..#.##.#.##.###...#..###.#.#.##.###.##.###.##.###.####.#.#.........#.#....##....####...####.#.######.##....###...#..##.##.#.#...##.##..##.#.#......##....#.#..##...##.###.###.##...#######..#.####..#...###..##.#######.#...##......#.######..####.###..###.#
#.#.###.#.##....#.##....##.##.######........#......###.##...##.#.#...#.......#..#.#########....#########.##.##..####.........####.#.##......#.#.###.#.#...##.#.###.###.#...#.#...###..#########.#.##.##.#.#.#.###.##..#....#.######.##.#..###..#######.######.##.###.####.#.....##.#....#....#........#######....##...#.##..#.........##.####.#.####...###..#...#..####.......###............####...##...#..#........##.#.#.#.######.####.#.....#.#.#.#.#.#....#.###.##.#####.##.#.#...##...#.##.#.##.....##.#......#.###.##.#.####.##.#.##.##...###..#..####.#.##.#.##.#####.#..##.#.##...####.####.###.#.#.......#.#...#.#.##..###.##.#.####..#.####.#.#......##......##.#.#.####.#.##.#.##.##..#..#.#....#.##.###.##.##.#.#.....#...###.#.###....#.#..###.##...#..###...#........####.####.####..####.#....#...#..#.##.##...#.##...###.##.....#.###.########..#.#.####.######.#####..##.#####.#.#.#.##.###.##..##........######.#.##...#.#.#....#....######.##.....##.##.....##.#.#
#.#.....#..####.#.##.#.##..##......########.####.###.#..#.###..#.###.#######.##.#..##.#.#.#.##...###.........##.#.##.##.##.#.#.......####.#.........#####........#.#.#.###.###.#.....##.#..#.........#..#.#.#.#....##.####.#.##..#####.#.##.##..#####...##.##......#.#..#####.#....###.###.####.#####.#..######.####.##..##.##.##.#.#..######.#.#..###.####.###...###.##.##.###...#############.###..###.##.#######.###.#.#.....#.#...######.#.########.#.####.###.########......#####..###.#.#.....#####.#..######.###........##............###...##...###.######.#.#......####.##.#########...##.#.#...#.###.#.#########....##.#....#.#.##.#.#####.....#####.#######.##..#.....#.....#.#.##.###.##.#.####...#...#..#...#.#.##.####.#####.#.##..####...##.#.#..#####################....##.#.##...###.#####.####.##.......#.########..##.#####.##.##..##.##....##....###.##..##.#.#.#.##...##...#.........##..##..#######.##.###....##.###.#...####.##..###....#####..#.#..######...#
#...#.#...###...###..#.###....#.##..#.##.........#.#.##.#...##.#.#...##......##.##......#.####.###.######.#.##....#..#...#######.#.#......#######.###..#########.....#.##..##..##.##....##...#.##.#.#########.#.####...#...#..##.#.#......#.#..##.#.###..#..######...#.##########.###########.###.....##.#......##.#.#..#################.........##.#.#..#..####.##...#########.##...........#.####.#.#.##..###.....#..#...#####.##.##..##..#.#.#.#.#.........##...#.##..##.##.##..#..###..#.###.#.....#.#.##.#....##..#.##.########.#.##.#...#.######.#.....###..######.####.#.....#.#..#.###..#...###....####.#..#.#.####.##....##...#.##....##.#####.#.###..#......###.##.##.#####........#.#.#....#.####.#.#.##.##.##...##.......##.....##.##..###.#....##..#.#.#.##.#.#.###...##.#..#.#.####.#.#..#.#..#....#######.##...##.#.##.##...#...##..##.....####.####.##....##.##...#.#.#..#..###.##.##.#.#..##.###.###..........####.##...#...#....#..#.##...##.##.#..##.#.###.##..###
#.#.#####.#...#..###.###.###.######....###.##.##...#.##.###.#....###.#######.....######.#.###......##.##..#..##.#...##.####.#.#########.########...###........######.#.#..####.#..##.#######.########.##.#.#.....#.###.###...##..#.######.#.#.###.#.#.#.##.####.####.#..#.#.#.....##..#.#.##...######....#########...#####.####.######.#..#######..#.#.##...##.....###.##..##.####..##.##.#.#...............##...###.##.#.####.##....#..########.......###.########....##.#..##..##.##...##.#.#########.....##.####..#######.#.#.#.#..###..###....##.##.##.####.##.##.#.#.##...##.####.##...####...######.#.#.#..##...#.#.....###.#####...##.#.##........#.#.##.#.#.##.#.#.####........#.#.##.#.#.####.#.#.##.###....#..###.##..####.######.##...##.#...####..#.##.#.#.#..........#######......#.#.#.##...#####.#.#.....#.#..#.#..#.##..###.###..##.#..#####.#...###..###.##...###.......##.##......#########......#.#####.####..##...##.##.########.######.#####..##..#.#.#.#.##.####
######......###.##...##...####.#....##...###..#..#......##..####..##.#.....#####..##..#.#.#.######.......###..####.###.#.........####...#........###...#.##.#............##..###.##...##.#.####..#.........####.##.##....###.###...###......#.#.#........#..#....##..##.#.#.#####.###.#.#..###........##...#.#.#.##.####....##..#.#.#....##...#.#.##.#..#.###..###......##.##......##..###################.#####.#.........#.#..####.##..##.#.##.#######...#......###.###.####..###....###......##.#.######....#....##.#.#...#.#.#.#.#####.#.####.#..##.....##..##.##......###.##..##.....#...####...#.####.#.#######.#.#####..#########.###.#.#######.#........#####....#..##..##.#########...........#.#....##..##...##...###....###..#...###.###.###.##.##.#......#.####.#.###..##.#.##.###.#.....##.#.#..####.#####.#.#.#####.#.###.#...#...##..##.#.##..###...##.#......###.####.##..#########...#.#.#.######.#.#.#...#..####..#.##.......#######.##.#..#.###..##.#.......#...#.#
#..#.######.#....###.#..#..###.##.#.##.################.###.#....##..#.#.#..##.##..##.#...#.#.#..###.#.#.#.##.#....#.###.###.##.##.#..#####.#.######.#.####.##.#####.#.#..##..####..#..#.#.##.##.#########..##...#.#####..#..#.###.#.###.##.#.#.#.#.####.##.####....###...#..###..#.#.....##.###########.#.....#.#####.####..##.....####.#..#...#.##.##.#.#.##########.##...##.##.######.#.#.###.####.#.#....#.#.##.######.#.#.##.#...##.##.#.####.#######.##.###.....##...####.#.####...####.###.....##....##.####.##.....#.....#.####.####..#.#.#.#######.###..#########.#.#.###..###.#####..##..#..........#.#.#.....##.##.##.#.##.#..##..###.##.###########..#.#####.#.###.########.#.############.#.####..#.#####.####...#.#######.###.#.#.#.#.##...#.##.#.######.#..#####.#.###.#..###.#.#####.##.###.##.#.....##.#.#..##......##.###.###..##.##....##..####.##.#.#######...######.#####.#....#...#.#.##.##..#.#...#...###.##.#.#..#######...###....#.##..#..##....#######.#...#
##....#######.####...##.##.....######...##.#.#..#.##....#...####..##.######.##.#..##....###.....##...#.###..########.#########.......###.#..######.######.#######.#######.###..#######.....##.##.##.###.###.###.##...####.##.......#..####......#####.#......######.#.##.##.##.##.#.#####.##....##...#.#######....##...#.###....###.##.########...##.#..#.#.###.........##.#########.......#..............##...######..###...#.#..##.##..##.#.#.#..#...##############..###.#.#.....##..###.##.######.########........###.####.##.#.##.#.#.###.#.....#.#.....#.##..##.......#....#..#######.#..##..###.#######...#...###....##.#.......##..##..##..#...#.###...##.........#...#.#................###.##.#.#.##.########.#.###.##.#.##.##.##......#....###......#.#..#.#.#.##........#..##.##.....###..#..##...#...###.#......########.##.##..#...##...##.###..##.....#.#...##....#.#..#....#.#..####.#####...##.###.#.######.##....###.##.#..#.##.###.###.##..##.#.######.#.#...#.#####
###.###...##################.#...#.#..#......##....#.##.###.#.##.##...#.###.##.##.#####.#######.#..########..##.###....#....###.##.#.#.#.####......##.#....##.##........###.##.#.##..##.##..........#.......#.#....###.##.##.#.###.##.#..######.##.#..###.####.#.#....................###..##.######...##.#.###.#..###...#.######.#.#...##..#####..#.##.#.....########.##...##...#.###.#.#...###.##.#.##.#####.###.###.#.#.###...###.###.##...#.##...#....##.#...##.##.#.#.#.###.#####.#.#.#..#..###..#.##.##.######.######...#..#.##.#.#.#.#.#####...###.#......######.##...##.#.##..##...##.###########.#####.##.##...##....####.##.###..##..##.###.#...###....##.####...########.##.#.#####.##.#.#..#......##..##............#.##.##....####...#.#########.#.#.##.#....########.##.##.##.###...##.##.####.#.###.#.#####.##....#.#.#...##.###.###.##..#.##..#####.#...#######.####.####...#.##........###.....#.....###....#.#.###..##...##..#.###.#.#..#.##.....#.#.#.#.#.###..#.##
#.....###.#.###..#..#.###.#####.##.##.#.##.#..####.###...........##.###..#...#.#...#.##.#.#.#.....###.##.##.##......##.###.##...######...#.######.###.###.##.....###.##..##.#..#..##.##############...#####.#.###.###..#..#######..#..#.###.#.#.##.##.....##.#.#.###############.##.#...##.....##.####..........##..####...###....#.#.#..#.##.#.##.#.##...#.#..##.......###.####...#.#.#.#.#.##..#######.#.................#...###.#.#.#..#.#.#.####.#.##.#..###...............#..#.#..#.#.##.#.##...##.....####.#.....##.##.###...#..#.#........###.##...##.#.#.#.##.#####.##....#..##..#.#...###.#.........##..#####.######...####..#.##..#.##..##..###..#####.####....#..#.#.#...######......#.#.##.##.###..##.#####.#######....#..######....#####..#...##......#.#.####...........##.####...###...#.#.##.####.....###...##.#.....#.###...#...##.###.#.##.###....###..#.##.#..#.#..#.##.##.#####.#####.#####.####.##.###.##.####..####.##..##.#.#.#.##.#.###.####...#.#.....##....#
#####.......#.##.##.#.#...#.##..#...#########.......###.##.#####.##...##.###...###.#.##.#.#.#.#.#.##.....##....####.#.........###.#.####....##.....#..#.#....#.#.#...###.##.##.##.##.#........##.#######.#........#.##.##.#.#.#.##.##.#.##....#.#..####.#.............##.##.###########.######.##.#.#######.#.#.###...####.#.####.#.####.#.#..#..#...#########.###.#.##..#...#####.#.#########..##...#...##.##.#.#.#.#.#.#...###.....#.#.####.#.#.######....##.####.##.##.####.#.##.##.#.#..#....###.#####.###...#.#####...###.###.##.#.#####.##......##########.#.##....########.#.######.##.##...######.##....###..####.....#....##.#.#..##..##.##.##.##...##..#.####.###.#.#.#.#.#......####.#...##..######..#..#.######.####.###.####.##.##...####.###.#..#.####......###########.#....#..#..####.#.#.##..#.###.###.###.####.#.#.....###...#....#.#.#.#....####..##.##..#.#.##...##.##..#..#.#....#.#.#.##..###.....#...#...##..##.....##..#.#.#....#.....#...####.#...#######.###
#.#####.#.#.#.#...#.#.###.#..##.###.####.##.##.###.##.##########..##.##...##.#..............#.#####..###.#..####....##.##.#.#.##.....#####.#######.##.#.###.#######.##.........#..##...#.##.#.....#.##.....##.###......#............#.#.#####.#...##....##.##.####.##.......#..###...##.#.##................#####...###.##...#.##....#.#...##.##.##.##..##.#...#.#######.#.###.....#.##.##.....##..#...#.#######.#.###.#####.#######......##..#.#.#..##..##.....########..##.....##......##.#.####.#..##.#...###.....#.#.#..##...#.......###########.##..##.##...#..#.####.##..#....##..#..##.####.#...########.#.#.###.##.##.##.###....#.###.##..##.##....#....##.#....#.....#.###.###.#.##.##...#.##.####.###.##.#...##.........##..#.#.#####.###.#..#...#.####.##.####.#....#......####.#####..##....#..##.#.......#.#...#.##.####.#.##.###.####.#.#.#.##.###....##...##.#.#.####....###...##.##.###.#.#....##.##.##.###.#.###..######.##..##...##.###.#####.###.#..###..##.#.....#
#....######.#.###.#.#.#.#.#.##...#..#.#...#.####.......#..#......##...###....##.########.#######.###.##....#######.###..###########.##.#.#..#.##..........#############.#.#.##...#####.###..#.#.#...#..###.##.##..#.##...##.###.###......##.#...######.#########.######.###.##...###.......##############.#########.##...###.#.#..##...###...........##.##.###.#.##.#.......######....#.####.#..#####.####.##..###########.....#.#.######..##.#.#.#.##..#######.#.#...#####..###.##.#######.#.#.#....##..##.########.#.####..###.#####.#....##.....#..##.#...###.##....##..###.##.#####.#.##...##..##.##.#.##........#...######....####...##..###.##..###.##.##.#....##.#####.#..####.#####...#####....#..#.#.#.##.##.###.#.#####..##.#...#.#.#...#.##.###...#.##.#...########.######...##..##.#.######...##..#######.#.###....####.###....#######..#.#.#.##...####.###.##..#...#.#..##.#.###.#.....#...#.####..#.#####.##....#.#.#####....##..###.#.......#.##.#.#.#.#####....#.#####
####.#.#.#..#.#.#.#.......#..###.##.....#.#..#########.##.######..##.###..#######......#.##..##.......##.#.#...##..#...###.#.##.##...#.#.##.#.####.######.##.#.#.#.#.#..########...################...##...#############################....###...#.#####.##.#....#...####...###.##..##.##.##..###....######..#.###..###.#.....#.#####...###########.##....#...#.##.##.##.#..##..###.##...####.##...###.#.....###.....##.#.##.##...###....###.....#.###.##.#........#.......##......##.#.#....#.##.#..##....##.##.......#...##.#.####..#.#.#######.##..#.###.#.#.##.######..#...#.##.#....###.####.##..#.#..########.###..#.#####.###.###.###.#.#.#..##.####.##.##.#.##.####....##.#...#.#..#.......##...##.#.#..#.##...#######...###.#.#.#.....###.#..###.#...#..#.###..##....#...####....##.........##.##..##..........#..##..##......##....##.##...#....#.###.....#...##.#.###...###.#.###.#.#####.###..#...##...#.#.###.###.#.####..####..##.#.#.#######.##.....#.##....##.....#.#
##.#.#...##.....#.##.#.##.#.##...######.#...##.##..............##.##...####.##.#..#.##...#..#####.#.##########..#####.##.........###.....#.........##..................##........#.#.###....##.##.##.#######.#.###.##.#..................##.....#.#........#.####.#.####.###..#...########.###.#.####......##...#.##.......###.###.#####..........##.#####.###.#.....#######.###.#.#.#..###....##.#.....#####...#####....###...##.##.##.#.#.####.##..#####.###########.####.###.#.#..#.#.##.#.#.#####..####..#.########.###.#..#....######.#.#......##...###.#....#.#...###.###...##.####.#...##....##.#.#.##.........###.#.#.##...#...#......#.#.##..#.##.#.##.#..#..#.#..####.##.###.#.########.#####.##....##...##.###..#....###...#.#######..##.##...#####...##...##..####...#....####....#.#.##.##...##..#####.#.##...###.###.#.##.####.##.....#...####.#.#.###.#.###..#.##..#...###.#.........#.####.###..###.#.#..#...##.#..##..##..##.##......######..##.####.###.#.###.#.##.#
#....###.######....######.#.####.#.#..###.#.......#.####.#.###.##.#..###.#...#.##.#.####...###########.########.#.#.######.#.#.#.....###...##.####.###.#.######.##.##.#########.##.......#.##........#.#..#.............##.#######.##.#.######.#########.#....#......##...###.##.##.##.#............######.####.#.#..#.#.###...###.#.######.#.#.#..........#.#.#.######.##....#......##...####..#######.##.##.#####.####..##.#.#..##..###.#.#.#.....##.#...............#....#.#.####...#.####.#..##.##..####.#.#.##.###.###.##.###.##.#.##...######....###.#.####.....###.#..###.##..#.##.###..####......#..####.####.......#..###.###...#.##......##.#.##.###############......#..###.#.#.#.##.####.....####..###.##.#.##...##..####.#..##.####..#..###.##.#..#.##.###..##....#.##.#......##.#.####.##.#..##..##...######.#.#.#.########.##.####.####.##.#..#.#####...#.##...#..#######..#####.#####.#.#..#...###..#.##...###....####....##...###.####....##.#....##..##.###.######.#
####.#.#.#....##.#.##.#..........#.##.######.#.##.####.#####.#......##.#.#.#...######.#..#.#.##..#.#.#.#.#.#.##.#.#..#...#############...###########.#.###...#####.####..####...#..##.#.##..##.##.#.##.##...#.############.##......#..#..#.#.....#.##....####.#####.#####.#.#.##.##.##.###.##.###.#..##....#.#......##########.....#.#.#.###############.#........##.#...####.####.#..#.####.#.###.##...##.....##.#.##.##....####.#..##...#.#...###.##.#######.######.#######...###..#....##....##.....##.##.....##................##.#.###.##.#######.##.........##.##.#.##.#.#..##.#..#..##.##.#######.#.#####.#..##.#.##...##.#.....#.#..#####.##..#.##..#.#..##.#.##.######.##.#.#...........#.###.#...#..##....#...########..#.#.#.###.#.###.##..##..#.####..#..###.#########..##.##.#####.#.....####....#########..###.#....#.#..##.....#.####...##.##....##.##.##..###.#.##.###.##.##....##..#.#.##.###...##...###.######.##.#..#.#####.##.....##.####.#.####..###..##.###..#.#
###..#.#.#.##..###.##.#.########...........#########....#.#....##.#......#####.#.#.#..####.#..##..............#.#.##.###.##..##.##..######...#...##....#####.#.#...#.##.##..###.##.########....#..###.....###.#....#.......###.#####.###.#...#.#....##.###.##.#.#....####........##.##.##...########..####.#.##.##########.#.#####...#.#.#.##..#.###.###########.###.##.####...######....##..####...###....###....#.#..###.#..##..#.#####.#.###.#####.....####.#......##......###.#####.#....#########.##..###.#..#.#.#.##.##.#.##........#.#..........#..#####.#.#...#.#.#......###.##...##...#..###.#..#.##..####.#########.##.##.##.#.####.....###.#.###.#.##.........####........###########.......###.##..####.#.###.#..#.##...#.#.#.#.#.#.#.##.##..##.#.#..##.##....##..#....#####..##.####.##.###.###.##.##.##.##.##....####.##..###.#....#...#....#..####..##..#.##.#......#.#.##..####..##.#.#.##...##.###.#..#.....#.#..#.##.###.#....#.#####..#.#..#...#..##...###...##.#.#
#.##.#.#.#####.##..#..#.#..#.....#.#.#####...###.#.####.#...#.###.#.####.##.#....#.##.##.....################.#....#..##.#..##...##.#.######.###.#..#.##.....#.###.#....###.....####.#.#.####.###.#...#.#.#...####...##.##.#...#.....##..##.#####.#######..#......##..#.###.#.##.##.....###.##..##.##.##......###...##.#.#.#.#.#.#.#........##.#.#......#.#........#.##.##.##.##..#.###.####..#.###.#...#########.#.##.#.####..##....##...#.#.......####.##....##.###..#.###.##.....#.#.##.#.##.##.#...###..#####.#################.#.#.#.....##.#.###.#.##.....#####.#...######.....####..###.#.##.#.##....##..##...##.#.#......#########....###.....#.#.#....#.#.#####.#....#.#.#######........#.#.###...###..###.#...#.#.##.####.#.#.#.#.#.#.#.##.###..#.....##...##.#####.######.##..##....#####.#.#......#.##.#......##.#...##.###.#.######.#####.##...##.##.##..##.#....######.#.##.##..#.###.#.#.####.##...#.##.##.####.#.##..#.##..####.......##.#.#.##.###.###.####..####...#
#......#..#.##..##.##.####.###########.####.##.#.#.##...##.##.#.######.#..#.####....#..#####.##..#.##.##.#.##.#.##...##..##..###.#........#..#.#.##.########.#.##..####.#.#####.#.##..........#.#########.###.#....###..#..##.###.#.#########.#...#..##.##...##.#.###.......#.#.....#####.#####.#........#.##...##.##..............##.#.#.#......#.##.#.....#.#.##...#...#.##.###..........##...##..##.####..............##...######..#.#.#.####.######...#########...#############.....####.##.#..###...#.##.##..##.#.#.#..###########.####.###.####.....#####.#.......#...#.###.####.#..##.#....#.#..##.#####.####......######.#.#..#.####.###..#.#.....#.########.....########...##..#.###.#.##.#.#####.#.##.....##.##.#.#...........#.#.#.#.......###.###.###..###....##.....##..#..######...#.....######...#..#.#.##....#.####.....#.##.###..#########..#.#...##..#.####.##.#.#....#..##...#.#.#.#.#.#...#.#####.....#.##.#....##..##.#.##.###.#.#..#.#....##...#.......####..###
######.#.##....##..##.###..######.#.#.....#.##........#..######.##.#.....##.#.##.##.#.##......##...##.#....##.######..##.###.###.########.##.#.#.####....#......####.##.#.#######..##.##.######..#.###.####.######...#####..##########.##.#.....#...##.....#.####.#...#.#.#.#######..#.##..#.##.###.####.#..##.##...#######.###.#.#####.####.###...#..############.#...#......#.#.######.#..##.####....##.##.###.#.#.###..###..#.####.###.#.#.#...#.#.###..###...#..###.....#.##.######.#.#..##.##.#...#....#..##.##.#...##.#.#.##.#....##...#...#....##.##.###############.....#......##.#..####.#.#.##...#.#.....##.#.#..##.#..#.##.....##.#...####.##.##.##.##....###..#.######.####.##############.##..#.######.##.##.#.###########.#.#...####.####.#.##......##.##.######.#.###.##...######...#.#...#..##.##.######..#.##..#.#.##.##.#......##.....####.#...#####.#.##.#.##...###.##.#####.#.#.#...#.##.##...##..###.#.##.#.####..##..#.##.#.######...#.####..###.####.##..##...#
#...........##..##.##.#.##..........#####....###########.###.#...#.#.###.......###.....####.#..##.###.####.....##.#..##..#.#.#...................#.#####.####.#..##...........####.#######.#..##.........##.###....#####.#####.#.#.#...##.#####.##.####.##.#..######.#########......##.###.#.#...#####...####...##.###.##...#...###.....#....#####.##.###.##.##..#####.#.#.##...###...#..#####.##.######.....############.#...##.#.#...#......##.##.#.#...##.###.#.########.#.##...######.##.##.##.#######.##.##..##.#.###......#..##.#..###.###.###.##..#.....#.#.##.......#.#...#.##....##.###..#.#.###.##.##.##########..#.##.#.#..#####..##.##.##.##..#.#...######.##.#.#.#.#..##...##...#.#.##.....##.#.#.###..##..#.#..##..#.##.#.....####.#..##..#..##.#####...#.########.#...######......#######.##.....#.#.#########..##.####.##.###.##.##.#.#.#......###.#.#...##...####.##......#.#..#.#...###.##.##.########.......#.##.##..#.##.#......######....#.##...#...#####.###.###
########.######.##.##....####.####.###....##.###.....#.#.#.#...#...########.######.##.##.####.##..#.#..#######.#..##.###.......#########.#.#.#.#.....##.....####..####.#.###.##.#...##.......###########.##.#.######.#....###......###.#..###.###...#.#########.##.###....##.######.##.#.#...#.#..##.#######..#....##..###.########.######.#.#.....##.#.......##.###.#########.######.##..#.#..#...##....###.#..............#..#.....#...#.##.##.##.#.###.##.#...###...##.#.#.#..#.....#......#.#....##.##.##.##.##..#.#.######.#.######.###############.#.#.#........#.#.#.#.###.#####.#....#.##.#.#.#......#...#.#.######...#....#.####.#######.....###.#.###..##.#..##.#.#.#.##..###..###.#.#.###.##............####.#.#.####....#.####.##.#..##..##.##.##...##..###.#.##.##..###.#.#.##########.##.#.#####.##.#..#.##..###..#.###..##.######..#####.######...#.#.###.####...##....#.####.##...#.####..#.......#.##.###.###....#.###....#.#.####.#.##.#.##....###.#.###.#.#.#.#.###
#..#.#####...#........############.#.#######.#.####.##.#.#.#######.##..#......##.####.##.#.#...##.#...##.....#.##.#....#########.....#####.######.#########....##.#.########..#.###.##.#.#.#..#.#.#..###....#.#.##...####.....####.......##.#...###.#.##.##.#......###.####..##..#.......###.#.##....##.##...##.##..#.##.###.#.##.#############.#.##..####.##....#......#....#.##..#...##.#.##.##.######.#...#.#.#######.#.###...######.#####.##....#.#......###..#..###......########.##.###.#.####.#...#.#..##..##.#.#.##.......#.##.###.##...##.#.....###.##.##.##.#.########..###.######...##.#.#.######.#.###....#.#.###.####.#.#..#...##..###.#.#.....#...##....##.........#.##.##.#.#......################...##.#.#.#..####.#.#.##..#...####.....#.##.#####.#.....##.#..####...#.#.#..............##....#.#.##.###.#.##.#.#.##.#....##.##..#.#..#...#..###.#..#...###.######.####.##..###......##.###.#####.#..######..####.#.#.####.#...####.##.######.##.#.#.#.#...#.#.#...#
##.#...#####...######.##.#..##.......#.###......##.......#.#...###..##.####.#..#.##........#.###....########....#...##..##.#.#...#.#...######......##..#....##......#.#.##...##..##..########.....#.##...##...#.####.#.####.#.########.#..#.##.##.#.#.##.##.######.#....##..####.#.####.##.#.#######.##....########......##........#....#############.##....####.######.####.#..##.###.##.#.#...#.##..####.########......#.#.##.#####...#........##...###.#######.##...##.###.#.##.#......#........#.###.#.##.###.#..#.#..#######.#.##..#...###......#.#.#...#..#..#..#.#........##....#.###.#........##..#......####.#...#............##.####.##.#########.###..####..##.######.#....#....####.###.#..........#.#.###..#.#.#.###.#.#...#..##.###..#####........##....######.#.##..###.#.#.#########.####..####.....##..##..........#..####.##.###...##.###.##..##.##.#.#........##....##..##.##..######..#......##.##.#..#.##.##.#.#.....##.#.###.##..#..#####.##.....#.#.###.#.#.###
#..###.#.#####.#......##.##.#####.##...#.###.##....#.###...#.###.##.##.#....##.#..########.#.#.####..#.#.....##...#####.#......#######.#.##.##.#.#..##.#.#.########.#.#.####.###..#.#####.##..###......######.#...##.#.#....#.#..#.######...#.........##.##.###.#..####.###.#......#.......#.###.###.#..#.####.#.#######.###.#####...##..#.#.#.#.######..#.##...........##...#.##....#.##.#.###.#.###.#.....##......####.###....#.....#.######.#.####.#....##......###.#####.........#.#.###.#.#.#....#........##.##.#.#.##...#.#.#..##.###.#.######.##########.##.##.#.##.#####..####.#.#.####.####.####.###.####.#..###.###.#####.#####..#.#.#..##.##.......##.##.#.##..#........##...####.#..##....#.##.#.#.........##.#.#.##....###...##...###.....#####.######.####.##..#.###..##.#.#.##.#.#.####....##.#..##.####..####.#.###.##.#.##.#..#.###....##..###.##.##.#####.######..##.#..##...##..##..##.#.#.####.....##.#.......#...######.#......##.##..##...##.###.#.#.##..#.#...#
##.......#.#####.####.##.##.#.##..####...#.#######.#####.#........#.##.###.###.##.##..#.##.#.#.#.#..##.#########.##.......#.#####.#....#.#...#####.##..#####.#.#.#........##.#.##....#.#.....##...#.#.##......#.#.#....######.##.....##.###.###.#####.##......#.##........#.#.#.########.#.............##.#....#.#.##....#.###.####.####...#.#....##.###.######.##.####....#......##.#.##.......#.#.#.####.####.##.##......###.######.#.#......###.##.####..#.####.......#...#.###.#.#.#.#...#.#.##.#...#.#.##.##.##...#..###.#.#...###.#.....#..#.####.#.#...#.#...#####..##....#####.....##...##...#..#.#.#..##..#.###..#.###.#....##.#.##.#.##.#..########.#........#######.##.#####..#.#.##..########..####.#.#.##.##.#.#.##.##.#.###.#..#...#####.##.....#.###.#.#...##.....#.##..#.#.##......######.##.##..#...###.#.#######........#.##.#...####....##..........##....##..##..####.####..##..##.##.#.###..#####.#..###.##.##.###.##.#...##.#.##.#..#####..#...#.#....##.....###
########.#.#..######...#.#..#..####.####.#.##.#.######...##.#.###.#.#..#####......###.#.#....#.#.##.##..##.##.##.#######.##.##......##.....#..#.#...##.##....#...#####.##.#..#.#####...######################...######.###.##..##.##........#####..#...#.####.#.#..####.#...#######......#.#.###.#.##.##..####.#....####.#.##.....###..###.#.##.#.##.#...###....####....##.####.#.#....#######.##.#.#..#####..#########.#.##...#......#.#.#.#.##.......#.#.#####.#######.##.##.#...#.###.#.###.########.#####......###.#.##.#.#.#.#.#.#.#####.##.#.###..#.###.############.####.##...###.#....######.##.#.#.#.####.#.#.##....#....##.##...##......##..#.#.....#######.##.#..####...##...##.#..##.#........#########.#..##.....##.#....###...####.#.....####.###..#..#.###..##.####..##.#.#.######.##......##.##.######......###..####.###...##.##.##..####..###.###.##..#.##..#.###.###.#..##..##..###.#..#...##.##.##.##.##..####...##.##.#.########....##..###...#####.####..#####.#
#...##.#.#.##.#.#..###...##...##.#.....#.#.##...#.##.#.###..#.##......##...######.....#.####......#.#..##..#..####.###...##.#..########.#.###.....#..#.#####...#.......##.##.#.#.#.###..#.##....##.#.#.#..#####..##..#.#.#.###.########.###....###.##.####.##...####.#..#.#..#.##...#.##.#####.###.##..#####.#.####..##.....#####.####.#......#.#......#.#...##.#....#################.#.#......#.#.#.##.####..#.##.....#.###.#########.#####.#..#####......##....#.###......#######.#...####..##........#.#######..##...##.#...###.#.#.#.#.#.##.#.#.##...#.#.##.#..#.#.####..######.....#.#.#######.##.......#.#..#...#####.######.....####.#.##..#.##...###..#.##....#.##.#..########.##.#.##....#.###.###.#.#..####..####.########.#.#.###.########..##....##.##.#..##.##....##.##....#..##.##..######.##....##...######.#.##.#....#####....##..#.##....##.####..#########.#.#.#.#.#.##..##.#..###..##.#.###...#.##.#..###..###.####.##.#.###.#.#..######..##.###..#.....##.#...#.#
###.........#.#.##.#####..#.#.#..#####......#.#......##############.#..##.##.#....#.#....##..####.#.##..##.##..###.#...#.########.###.#####.########....##...#.#.##.#.##..#..#.#.....##.#.#####........##.#..###.###...#.#..####.#.##...#...##.........##...##.####....##.##....########.###........#.##.........###....###.##....#.#....###.#####.#.#.#####.#######..##......#..##.#......###.##.#...#..#..##......#.#.#...###.###.....###...#.###.#######..####...#.########.......######...######.#.#.#......###..###....###..##.#...#...#.#.......###.#.#.##.##.#....####.##...##.####.#.#..##....##.####...##.##.##.......#####.##....###..##....########....####.#.#....##.###.......#..###.####...#.......###.#.##.....#.#..#........#.#.#.#.#..##..####..#....###....####...####.#.##..#..##.......##.#..##.##.#....#.##.#.#.##...##.#####.#..####.#..##.##.#.##.#..#.#.#.#.#....##......##.#.##......###.#.#..#.##.#.##....##.............##......##......##...#####....###.#
#...#######........#.#.##.###...###..######.#####.##..#....#.##.###.##.........##.######.##.##.........###.#..##.#.##.####.#.#.........####.#...##.####....#.############...##.####.##.....##.#####.#.##..##.......###.#.##.#.#.....#####.########.###....#....##...#.#####..##....#.#.....#######.#############.....#.##...#####.#.########..##.###.#.#.....#.#.###.########.##......#.#.##.#.##.###.#.##.##..##.#.#####.####......#.###.###.###....#######..#.###.#.####.#########.####.##.####.#..#.#.#.##.#...##.#.####.#.##....###.###.#.#######.##....#.##.##.####.#..#..#.########..####.#####.....####.##.....#######.##...####.#########..##.##.#...##.###......####.##.#.####.##...######.########.###.#......##.##...##.######.#.....#.#.##.#..##..##.####...####..#.###.##.#....##.##..####.##.##.##..#....####.#.##.########.....##...#.##....#.##..#.....#.##.#.#.#.#.#.########.####.#.#..#######..#.##.........##.####.#######.######.###.####.#.######....###.####..#
#.#.##......##.###.#...##..####.#.##.##..##..##...###...##...........##.######..###..........######.##..#..##.##...####.#....####.##.#..#.#.###.......##.#.#.#..........###..#.#.##..#####.#...####.#.#..####.####.#.#.#.##.#.##.##.##....#...#.####...#.#####..########..####..##.....#.###..........##.#.......###.#.####..##......#.###...##..#############.....####...#.#..##.##########...#...##.#.....#####.###........####.#.#.#....##.#####.##.....##.#.##....#......###.....#.....#..##....##.#####..#.#......#.#.....####.#.#...#.#.#...##..#####...##....#.#..##.##.#..##.#..#####.#.#.####.#.##.....##.####.##.#..##.#..#...#.##.##...##..##.###......##.#.#..#.#..#.#.#.#######.##......#...#######.####.#..####.###..##...#.##.####.#.#..##.##.##..###..####.##.#.##..#..###.###.###.#.#####.######...######.....#.##.......#.#.##.#....####.#..##.#.#####......#.#.#.......###...##..#.##...##..##...###.######.#...##...###..#.##.#.#..#####.###....####.###....#.##.#
#.###..##.#.####.#.###.###.#.##.#.#.....####....###.#.##########.#.###..#......######.#.##.#.#......###.#.##...###.#.##.##.#.#....#..##.......#######..#############.#######...#.##.##.......###..###.##.##.###.............#.####..#########.....#..#####.###.##.##.....##.###..##.#.##..####.#.#.#.###.###############.###....#.##.....###.###.#...#####.#####.#....###...##.######...##.###...####.#.##.##.#.#########.#.##.###########.####.#.#.######.......####.####.###.#####.#.#.#...##..#.######.##.#####.#.#...###.#.#....#.###.#.#.##.##..##..####..####...##.#.......###.##..##...#.#.#.##.########......##.#..##..####.##.##.#...#######.##.#.####.#.#######.#.#.##.#.#.#.#..##.##.####.#.###.#.......#####..#.#.#.##..###...#####.#.#.##.##.##..#.##.##..##..##.#.###.##.....#.#.#.#....##...#..##..###.##.###.###..######.####.#####.####.....###.#.###.######.#.#.#.#######.#.#####...##.#.##.#####...####.......####.###...####..#.#.##.##..##..####.#..#.#.##.#.##.#
######.##.###.#.....#...##.#......#####...####.###..###..........####..####.##.##.....#..###.##.#.#.#......##.###....##.####.######.##..#####.........##..#.#..........##.##.#...##..#######.#.##.##.....##..######.#######.#...###.#.##......###...###.##...........###........##..#.##.##....#.#.###.#.###.##....#..#....###.##.#..#.#.........#.###.#.....########.#.###.##..##..##.##..#####....#.#.#####.#..##....#..####...#.#.#.....#.#........#.#..#.###.#.#...##...#..##.#########.####.#.#.........#.....#####..####.##.#...##..#.#.##..##..##.#....##.#..#.#..######.###..##.#####...#.#.######.########.##....##..###.#.##.#....###.###.#.##......###.#..###....#.#......#.##.#...###......#...#####.###.####.....#.#..##.#.#.#.##..#.#.#..##.##.##.#...#.####.#.....#...#.#.#.....#.#.##..###.#.##..##.#.##......##.##.#.....##....#.#.#..#####.#.........#.##..........#.##...#..##.##.##..####.#.#.##.##..####.##........#.###.###.....##.##.####.#.##.##.#.###.......#
#....###..##....###.###.#..####.#.#..##.###.####.##.##..##.#####.##.#####...#######.#.#.##...######.##.#.#....#.####....#.#...###...###.#######.#.#.#..##.#...###.###.##.....##.##..##..#.##.#.#..####.#..##.#.#..#######.#.###.#.#....#########..#.#......###.#.##.#########.#..###########.###.#.##........#####.##...##.....##.##.#.#.#.##.##.#.#.#.#####.#.##.##.....#.....###.##..##.##.######.#....##.....######.#####.###.#.#.#####.#.########.#.######.#.#.##.####.##.##....#.#.#.#....##########.######.###.....##.#..######..##...#.###..##....####.##.####.##..#####.#.##.#....#####.....#.##.#.#...###..#####....##.#.#.##.####.##..#.....#####.#..##.#.##.####...######......##.###..####.###.#.##...##..#.##.##.#.#.##..###.#.##.##.#.##.##.#..##.###.#..##..#####.###.######.##.#.####.##.#.#..##..#.#..###.#.##.....##.#.##..##.....#.##.#.#.#####.#####....##.####.##..###.#.##..##..##..##..#.#.##..##.##.####.########......######.##.#..##.#...#..##....##.#.#.#.#
###.#####.#..#.###...#..##....###.##....##..#.#.....########.#.###..###.#####.#..#..#.###..#.#...############.#.##...##...###...#####.###....#########..#.##.##...#......#.#.#.....####.#......##.#.#..##....#.#.##.....#.#.#.....###.##.#.#.....####.#.####...#.##.#...###...#.##.....##.##.##..#####.#.###...##..########.##.##.#..###########.#.....##.#.....#....#.#...#.#......##.##.##.#.####.####..#####...#.#..##....##......#.#......#.#.......###............#.#..#..####.#.#.#.#######.#.#..####......#...#.#......##.#.###..###.#.#.#.###.#####....#.#.##.#..##.......#..###.##.#######..........#...##..##.####.#..#.#.##.##.#.###.#####..#######.#..#.#..#.####.#.##...####.##..#..###.#.#.#.#.#..#..##.#.####......###..#..#.#..##.#....##...##...#..##.###.##.##.#....###.###.....##..##.....##..##.#.##.###..#####..#####..#######...##.#.#...###.#...##.#######.#....##...#..##....###.##..##...#..##..##.##.#.....#.##.######..###.##...##....###.##..#.##..#######
#....#.#####.###...#.##.####.##...###.#..##.#...##.##.##.##........##.#.#.##..##.#.#############...##..##.#...#.#..#####.#####.##......#..##.#.#.######......###########.#######.#..#.#.######......#.######......#####.#.#.##.##...#......###.#.##...###....#.###..###.....#.#..#####.#......#####....#.#...#....##.##.....##.#..##.#..#.#........#.#......###.####.#.#.########.#..#.#.....#.#......###..#.#..#.#.##..##.#..######...######...###.###.#.############.#.#.##.##.##.#.........##....#.##..#########.#########........##...............#.#.####.#.#.#..#.####.####.##.#.#.#..........#.########.#..##.#..##...##......#.#.....##.#.#.#.##..##...##.#.##.....##.#..##.##....###.##.#.....#.#...#####........######.##.##.##.#.#.###.###.##..######.##.....##.#..##.####..#..######.##..##..##.####..#.#.##.##..##.###.###.#..##.###...#......##.##...#.#######.##.#...#######.#.##..#####...##..###.##.#..##...#...#####.#...#.##..##.#.###.######..##..##.#####....#.##
####.#..#######..#.#..........###.#.####.##.#####........#..######.#..#....##....#####...##.#....#....##....#...##.##..........#####.#...##.......#.##..###.##..####.....##.#.#####..........####.######...######.#.#..........#..#.######.....#..##.##...######...##...##.##.####.#...###.##.###.####.#####.##.#.....#.###.#..##.#..##.....#.##.#.#.##.###.#.....##.######.#.###.##.....#.#.....###.##...##.####.#..#.######.#.######.#.######..####......#.#..###...........##..#.#####.#####..##...##.##.##...####.........#.#.##....#.###.#.##.##.#.#.#.#......##...##...#...........#########.#######..#####....##.####..###.##.....#.####..........##..#....#.#####.##..#.#########.#.#.########...###.#.#.##.#.#.#.........#.##.#......#.#.##...##...#.#...#####..#.##.##.#.###.#.##.......##..#####.##...##.#.#...##.##.#.#.##....##......#.###.##.##.####....##.##.....###.#..##.....##.##.##..#..##.##..#..##.####.###.#.......#...##.##.....##..##.###.##.##...#.##.####..#
#.#....##.#.#...#####.#.##.##..#.....#.#..#.##.#..#.#.##...##...##.##.##.#.#####..#.#..###..######.#.#########.###############..##.##############.#.#..##...###...#..##.##......#...##.#.###......#.##.##.##..........#.##.##.###.#....###.##.##.##..####.##.....#.##.#.##..#####....#.....##.#...#..####.#..#..###.#...##..###############.#.#..#.#.#########.##..######.........###.#########.##...####.....###.##....#.#.................#...##.#..####.....##.##########.####.........#.##..#####.#......##.##.#####.####.#.#####.#.#.##..###..#........######..##.########.#.#.#.##.###.#.#.###.......##.#.####.##.#.#..##.##########..#.##.##.#.##.########...#.#.#.###.#..#.#.##...#...#.##.#.###..#..#...###############.##.##.##.###.#.#.#..####.###.##.##.#.##.#.##.#......#.#.######.###..##.#....###.#..#.#.###..##.#.#..###########.##.#...##..#.#.#..#####..#####.#.....####.##.#...#.##.######..##.##....#.##.##....#####.##.##...#####....###.#.#.##..##.##.........##
#...##.##...#####.########.###.#####.#.##.#.#..###########.#..#........###.#.#.##.#...##.#.##..##..#.#.#.#..##.#..##..##...#.#.##..##.#.##.#........#.#####..####...###########...#.#..###.######.#.#........##.####.##.#..####.######......####..##..#.########.#########.##...##.#####.#.##.###.##..#.#.####.###..###.#######.#.....###.#####.######....##....##.###.#..###.#.###.#####..#########..#####.###....##.###.####.#.#.##.#####.###....##.##.#####.....#.####.....#####.##.##.#..####.#.....####..........#####...#.##....#######.#...###.#.#.#..#.##..##...#.#.#.##########.#.#.#...#########....#.#....#....##..#.##.#...##..##.##########.#..##..###.......#.#.##.#.#.####.###.#.#....#.##...##.###.#.#.#..##.....##.##.#..#.###.#.##.##.#.#.#..#.##........##.##.#.#.#.#.#.##.#...##..#.####.###.##.#.#.##..##......##..##.##.#############.....##.####..##.#...#####.#.#..##.###.........##..##...####.#.#...##.####.#######..###..##.#####.......#.###..#.#######..#
##.###.#..#######..##......#............#...##.#..####.#.#############.....#.#.#..###.##.#..##..####.#.#.#.##....##..###.#......##.......#...#.####.#.##....##.#######.#.#......#.#.#####.............#.#.#######....#..##.#.##.##.#.#.#.#.###.######.#..#.#.#....#.####.######..####.###########.###.#.#.######...##....####.#.#####.#.#....#####..#####..#######.#.#.#####..###.......#.##.........##.###..###.#.##..##.#.#########.##.....####.##..#..#########...#..#####..#.########.#.##......#.###....#.##.#.#.......#.#####.####.#....#.####..######....#.###.###...#.##.#.##..........###.##.#..####.#.####.#.#.###.##..#.###.###..#.#.##.#.#...##.###..########.....#....#..#...#.#.#.####...####.##...........##..#.#..#....##....##.#.#.....#.#.##.#.#######.####.######.#.#.#..#.#.#####........#.#.##.#.#.###..######.###.......#.#.##........###.#.....##.##...#..#.##.#.#.#######.#.#########.####..###.#.###.#.......#.##.###...##.##..#..##.####.#.#.##....#...#####
####.#.#.##.......##..#.#.##.##.#######.###....#.##.#.....####......##.#.#...#.#.##.#.#..#.####.###.........####..##.#.######.#####.####...#####....#.###.#.#..............#.#.#########..#.##.#.###.##.#.#.......##.##.##.#.........#####.#...##.#...##.#.....#.##...#..#..#...###.....#.##.#.....#....#.#..##..#.####.##................##.....##.#.#.#.##.##.#............#######.##......###.#.#.##.#.#.##.###.###.#..#.#.#.##..#.######.#.#...#####.....#.#.###.##.##.#..##..##.#....#.###.#####.#...#.##.#..#.##.####.###...####...#########.#####.#.####.#.##..#.###........######.#.##.....##.##.##.....##.....###.#.#..##.##..#.#.##.#.##...###.#....#.##.#.##.#####.####.##.###.....#.##...#..##..############..##.####...##....####..#.###.#...#.#..#..####....##...##.#........##...###.##.#.###.#.#.#..#.#..#..##.##...#.#######.#.#.######.##.#...###.####.#######.#.##.#......##.###.#.#...#.#.#..##.#...#.#.....#.#####..#..##.###..###.#.###....###.#..####...###.###
#.........######.##..##.#.#..#..#######.#.####.#.##.###.#..#.######....#####......#.#.##...##.#.#.###.#.###.#.##.##..#..#.#....##.###########.#####.###.##################.#####.####....#######..##.##.####.#.####..##.######.###.#.##.####.#....#####....##.##.#..#.##.##.###..#..#.#......#####.####...##.##.####.######.#.#.############.###....#.#...#...#.#########.##.##...##.#..#.#.###..#.#....#.#..#.##..#.#.##...#.#..##.#.#.#......##.##..######.............#.#.###.##..####...#.####.#..###.##############....####.###.###..##.#.#.#.#...............##.#.#.#.#.####.#....#####..#.#....#.....###.###.##..##...##.....##...#.##....###...#.####.#....#.#..###...###...#..###.##...#######.###..#..##.......######.###..####....##...#######.#...##.##..##.#####.##....#.##.#####.##.#..#.###...#...##.#.##.#.##...#.#...#...##....#..#..####..###.##...##..#.#.#.#...##.#.######..##....#.###.#.##.##.###.#.##.##.###.###.##.##...##.##.....##..#.###....##....#.......#
#.####.##..##.##.#..##..#.##.##.#..........###..........##...#...##.##.##.#######........###......#########...##.###.#.##.#.##..#.##.................##..##......####......##.....#.####..##.##..##..##.##.##############.##.#######.....##..###.##...##########.#.##.##.#..#.##.#######.###.#..........#.....###.##..##############.........#...##.#.###.###.#.####...########.#....##.#####...##.##.#.#...##.##.##.#..###...#.###.###.#.#.##....##.##.##.#####.####.##.....#.#.##.##..#.#...##.....##...#...#.####.####.#.#.....#....#.##......#.#.###.####.##.#.##.#...######...##.####.##########...##.##....######..###.######.##.#....###.##.###.....#....##.#.##...##.##.##.##.##.######..#.##.#.#.##.#.#########.#.##.#.#########.#######.#.#..#..###.##..##.#..#..##.#####.#.#...#.#..##.##.#######.###.##.#.#.....###.#####.###..####.##.#.##....####..##.##..##.#.#.#.#.......##..##.#..####..##...##.##.#.#.#..####..##.#...##..##.##...##.#####.####.##.#..#.#.##.###.###
##########.#.......######..###############.#...#.##.#.#..###.###....##.#..#.###.#.#.####...####.###...###.###.##.#.#.#.##.#.###....##.#.#.#########.####..######......######..###....#...##.....#########...#.#.....#.##......##..###.##..#####...##.##.###.##.######.#..##.......####.###...##.#.###.###.#.#..##.###.#.##.#.##......#.###########.................###.#.#####..##.#.####.....#.##.####.###.##..#.##.##...#.#.#.#.#.##..#######.#....#.........####...######...#.#...##.###.#######.#########...#.#..#.#######.##...##.#.###.###.#.###############......#####..###.##.#.#....##.#.#...#.#...##.#..##.###..##.........#####.##...##...##.##...##.#.....#.#.....#.##.#..##.#######.#.#.........#..##.###......#.#.#.##.#........###.#.##.##..##..##.##.##...##....#########.#.##.##.#...##.##...##.#....###.###.#..##.#..##.##..#.##.#.########...###.#..##......#######.####.###.##.#.###..##.##.....#.#.#.####..###...###..##...###..#..###...###.####.####.##.#.#####
#....##......##.##.#.#....####.#.##..........#.#.####.#.##.......########.........#.#....#..#.#.##..###.#..#.....#.#.#.#..###.####..###.######.#.#...#.#.##.#.###########.#..####.##...#.###.#.##..##.#####.....###....#####.####.#.#####...##..###..#..#.#.##..#.#...##..#######.#.#...####..######..#...####....#.#.#.#.....####.#.#.#...........#.##.#.########........##.#########.####.###..###.#...##.##.##.##....#####.......##.##..#.#######.###.#.#.#..#.#.###..####.##.#.####..#...##..####.##.#..###.#.##.#..##.#.########.....#####..#.##..#.....#.....####..##.##.#........###.##......#.###########........###.####.##..##....###..##.##..#..#.#######.########.#.##.#.##..#.##......#########...##..#.###.##.....#.##.####.#####...#.##..##.##.##...#..#.#####.###..######.#.##.##.##.##...###.##.####..##.##....##..#.##...##.#.##.#..##.##...#...#.#.####.#########......#.##..#..#.#.##..#.######.#.#.#.##.##...##.##.##..#.###...##.##.##.##.#.#.##..##...###..#..#
##.#.#..#.#.#####....###.##.........####.#.#.###.#.##.#..##.#########.#####.##.##.#.#######...#.###.##..##.##.##.......##.##...##..#######.........#...#.##.#.#...###.......###....##.##.#...#.###......##..#.#.#...#.##.#.#.#..........###..##.#.##.##.#.#.###.#.###.#..##.##.#....###..####..#.#.#########.####.#.#.#.##.##.#..#.#######.#######.####.###........#.#.##....####.#.#.......##..##.....#.....#.##..####...##..#.###.#...##.....#.#.......#.####.....####..............##.##.####.#.#..#..#.##.....#..##...........######.##.#.##....##.#####.########...###.#..#######.##......##.#########.#...##.#.###.#.###....###..####..##.###..#########.#......##........##....##.#..######.##......###..##.....###..#.#......##...###.###.#.##.##..#...###...##.##.#....##..#.#.....##.#..#...#.#..#..#..#.#..##...##.#..##....##.##....##.#.##...#######......##...#.##.#.##.#.###.###.##.....##.##..##..#........#..##.###.##..##...#.###....##.##.#..#.#.###..#.#..##.##.##
####.####.#.#.###.#.##...######.##.###...#.#.##..#....########.##......#.####..#..#.#.......#...#...###.#..###########.#..###.####.#..##.#.###########.#.#....###.#.###.######..#####..#########...####....####.##.##.#........#.##.###..###......#...#.#.#..##....##.#.##..##...##.###.##..##.#....##.#.#...#..........####..##.####.#....###.##..##.#####.#.#.##.#########........###.##.###############.#...#..###.#.###..##.#.....#..#####.#...#.##.####..###.#.#....##.#####.##.##..##..##..#.##.##.#.######.##.#####.#.####.#.#............##....##.##..#.###.###.#...##.#.#.#.#.##########.##.##.#.....##########.....##.#.#...###.##..#.....##.#..#.#..#####.##########..####.##.#.##.#.#...####.#.....#######..#####.##.###..#.#.....#...#.#...##...#...###..#.##.###.###.##...#.#..#.##.###.####.##...##.#.#####.##.#######.##...####.##.#....###.##.######.##..###..#.#.####..##..#...##.####..###..##.##.###.###.##..#.#.##.###.###.#.#.#####......##.#.#.##...####...#..#
#.#...#...#.#.#...#.#..#.#......#..#...#.###.##.#####.##.#.#.#....#.##.#.#....##########.######...#...#.##.#.#.##...#..#.##....##....##..###.#.#.#####.#.####.......########.##.####..###.###.####.##...####..######....#.#.#########.##...######.###.#.#.#.######.......##.#######.#....##..#.####....#.###.###.#.####....##.....##....##.#....####........#.#.######..###..###.##...#######....##..##.######...###..#...#.###.#.#.####.#.#.....#.#.####.###.....#.##.#.#..#.....#..###..##..##....#.................##...####.......##.##.##.#.##.#.###.###...#.#.#.....#..#.#.#.#.#.#.##.##..#.#.......###.#.##..##...###.########.#.#..##.#####.##.##...#.##.#....#.#.....##.#....##.#.##.#.##.##.########..#..###.##..#######...##.#.###.###.#.##.####.###.####.##.#..#.#..#...##.#####.#.#...##.##...####.##....##...##..#.#..#..###.#.#..##...####.#.#...#.##...##..###.#.#..####..##.###..#....##..##.###.####.#..##.###.#.#.#....#.#.#.#....##...######..#.#.####..#.###.#.##
#.###.##.####...#.####.####.##.#######.#.#....###.....#........##.#.#......#.###.#.#.#.####..########.#.#.......###.##.#..###.######..##..#......#.#.....##...##.##...........#.#....###........####..######.####.###.#.#####.#.#..#...###.##.#.#..##.#...#..##.#######.###.#.#.##..####..##.#..#.####........####.#....########.########..###.####..##.##.##.###.#..##.....#########.###.#...##..##.....##.##.###.##.#.#####.#########......#.###.#.#......#####.#..########.##.###.#.##.#..######...##.#.##########.#######...#.#.#.#####.##.######.........#.......#.#.##.......#.#.#.#...##.#############.#..##....#...#.#.#.##.......##..##.....#..###......###.##.#####......##.##.#.#..#.##.##.#.#..####.#.##....##.#.#######.##.####...##.#.##..##..#.####.#....##.#.##...######.#.....###.##.##.#..#.#..###.##..#.###.#.##.##.##..#.##.####.#.##...###.#.####.###..##.#.#.##.#..###...##.#.######..#.#.#.#.#....##..#.#.#.#...####...#.#.####..#.##.#.#.##.#.#..#.##.##.....#
#.#.#.####.##.###.##...##.#######.#.##.#.##.#######.####.###.###..#####.#.####.....#...##.##..............##.##..........##....##....####.###.##...#####..#####..##.####.#.##...######.#####.##..####..##.....#.......#.#..#..#.##...#..........##.#..###...##..#.#.#.#.#.#.#....##.##.##.##.##.#..##########...#######...#.#....##.#..#####....#.#.###.#..##.##..##....#.####.##.#.#.......#.###.######..............#...##..##.#....####.#.#####.########.#.....#.###.##.#####.#........##.##..##.#########.##...#....###.###.#######.....#...##.##.##.##.###.####.#########.#.#...#.#.###..#.##...######.....#####.##.#####....#######.#..#######.##...###.##.....##.#...####.#.#.......#.##.#..#..#.#.##.......###.##.....##.##...#.#..##.##.....#.##..##..##....####.......#####.##.#####.##..##..####.#.##.#.#.###.#........#.#..###.#.#...###...####.#.......##.#.#.##..#.#....##...##.##..#..#.#.##.#.#.#.#.####..##.#.......#.#.#..###....#.#.#####.#.#..#.#.##.#.....#.#####
#.......#.......#.#..#.#...............#.#..#.....###..####..##..##.....#.#....#.#...#.....########.#.#.#..#..##.##.#.##.#####.####.##.#...#######.....#.##.##..##..#....##########.##.#......##......##..###.#.#.#.#.####.##.#.##########.##.#......##...#####.#.......#.#.##.###........##.#..##.#.#.#.######..#..#...###.####.##...##.##..##.....##..##..#####.#..#.####....##.#...##.#.####..........###.##.#.###.#.#####.##.##.#.#.##.#.##....##.##......########.....#.#.########.#.....##..####..#.#....###.##.###.......##.#.#..#.#.#.#.#.....##.########....#.#..#.#..#####.#.#.#.##....###.#....###.#..##.###....##..######.....#.###.#.#...#.##########.#..#.###.##############.#.##.##.##.#.#..#######.#.#..####.##..###.#####.#...##.##.#.##.##..######....#######.###...##.....#.###.###..#.#.#....#....##.##.#.###.....##.#.#.##.##.#.###.##.#.##.##....#...##.##.#.##.#..###..###.#.##.#.##.#.#.#.#...###..#.####.#.##...#.#####.###.#.....#.#.#.##.#.##...##.##..##.#
###.###...##.######.##.##.#.#########.#####.###.######.##...##..###.###.##########.###.###..##.#....#.#.##.##..#########.#.###..#.#....###.#.#.#...#.#.......#########.#.#...............#.#.########..####.....#.########.##...#.###.##.###########..###...###.#####.#..........####.###.##.#.##........#....##.##.###.#.#.##....###.#.....####.#.####..#####....############.#....#.##.#.#.#..#.#.###.##...##.#.#.....#.##..##..#.#....###########.....####.####.#.#####.#.#..#.####..##.##..#.###.##...####.#.#......#.########...####.###########.##.#....#####.##.#.##.######.....#......####...####.######....##..####..##.##.#.###...#.#.....#...##...##.#..##....##.#...#.###.##.#.#..#.#..##.#.##.#.........##.##....##......##.#.##.#####....##.##.##.#....####.##......##.#######.#..#....##.#...####.#.#.###########..#.###............#.#.#.##.######..##...#.....#.###....##...##...#....#.##.#.#...###.#.#.##.##...######.#..#.#........###.#...#..#.#.####.######.#..#
#...#...#..###################..#######.#.###....##.#.....#..#.##...#...##.........#.....##......#.####.##..#####..........#.##.#.##.###.......##.##########..##.#.#########.#.###.###.#######..#.######.###########.#..#.....#..........##..#.##..#.##.###..#..#.#.#.#.#.###.####.####.#.......########.####....#...........###.##...#####.#.##.#...##.##.....##.###.###.#......#.##..#####.##.#.###...#..#.####.####.##..##.##.#####.#.##.....###..#.#.###..#....#.#.#.#.#.##......########.##.##..#..###......###.##.#.#...##.###......##.#.#.......####.#...#.####.#.##.#.##.#####.######..#.##.####..#.##.####.###.##.##..#.##.###.###...#.#.#.#.#.###.##....####.#....##.##..#..#..#.#.##.##.##....#.#########.....####..#.#.##....#.#..##.#..#.##.....##.####.##.#....####.##...###.#.##.###.##..###.#....#.####.##.#.#.####..#####.###.#.#.....#.##.######.##..#.####.##...####.####..###.##.###.##.#.##.##.#...#..#.##.#...#.#####.....###.#.##.#####.##.#.#.#.....##.#....##
#.####.###.##...#.##.###...#.##...........######.##.##.#.###.#####.##.#.#####.####.##.#.####.#.#.#..##..##.###....###.####.#.......#...#####.#....#.#....#.##.##....#.#.#.##.#.#...######..####.#....##...#.#..#.#...##.##.#.######.####....##..##........##.##.#.#.#.######...##..#.##.####.#.###........#.#.##.#######.##.##.#..###.###.###.#..############.##.......#..######.#.#..##..#.....##############.#####...#..##..#...##.###.######.#.########.#####.#..............####...##.#....#..##.#.##.######.##...###.###........######......#.######.#####...##.#......#.#............##.##.#...#.##.#.#.......#.#.##.###...#..##......#########.###.#.#######.#######.....##.##.##............####...##.#.########......##########.#.#.###.####.#..######.#.##....#######......#.#.#......##...##.....####....##..#..#.#...###..##.###########.###.##...##.####.#######..#.####.#.#.###.#......#.#.#..#.##.##.###.##.#.####.###.#.#.##.###########..#.#.....#.#...##.###.###.###
####.#.##..####.#.##.#.###......###.#####.#.#.#........#.##..##..#..#####.###.##....#.#.##...###.##.###.##...######...#......#.#.#...####..#####.##.##.#......#####.#.#.#..#######.#.##...##....####..###...##.....#.....######.##..###..##..##.#######.#....##.#.#.####.#.#.#####....#.#....###.##.##.##...###........####.#....##...#.........####...#.#.###########.##.###.##.#.##..##...##.####.##..###.....##.###.##..##.#.####.##....##.......#.#.#..#.#.####.#.####.#######.###.##...##...##.......#.#..#.####.#####.##########...######.######.#.....#..#......#.##...############.....#.##.##.##.#.##.####..........###.##.#..##.#....#.##...##..#..#.#.#..#....#..#.#.##.......#.#.#.###.##.####.##..........######.###.##.#...#.#.##..#.#..##.#.##.#...##.####..##.##.##.####.#.####..##.#####.#......######.#.##.##.##.#.##...##.##.......##.##.####..#.######....##..##....#.#...##.#.#...#.##.#....##.....#.....##....#.#.#.#........#.#.#.##.#.#.#.....######.#.##....#
##......##.#.#.....#.#.#.####.#.#...#...........#.###.##..##..##...####.......#..##.#.#.#..#.#...#..#...##.###......#####.##.#.###.#....##.##..###..#####.#.#...##........####..##.#..##.######.#.###...###.#########.##..#...#.##.##...####.#...##.########.##......##.......##.####.#.####..##.##########..#######.#..##..###.#####.#######.####.###...#..###..................#.##.########.##...#..##.#####...........##..#.###.....###########.#...##......#.#####.####..............#.####....#.###.#.##...#.#....##..#.##.##.###.##...#####.....#.#.#...###.#.#.#.#..#..#.##.#......###......##......#####.########.###....#...#####.####..###..##.##.#.#.##.####.######..##.##.#.#######...##..##..#####.####.##.......#..##...#........##.##.#....#..#.#....##.##.##....#..#.#..#####..##..##.#######.#.#..##.......##....#....#..#..#######.....#..#.##....#.#.####.##.######...#.###..#####.#..#.#.######.##.#.##.##..####.#.#.##.###.###...#.##.#.#######.....##.#..##.###
#..##.#..###.#####...#...#.#..#.##.##.#######.#.#####.##.##..####.##..#.#.#.#.##.#########.####.##.###.#####.######.#.....#..#..######.##..#..###..##.#.#######..#######.##..##..#.##..#.##..#....#.###.............#####.###....###..#.##...##.##....#####..#..###.####.####..#....#.#.#.###.#..#.#..#.####..##...####..##..##..##.#.........###..#.###...##.########.#.#.#.##.##..###....#.######.#.##........#.#.#.###.###.....###.#.#.##.#.##.#.#.######.##....#.#...#####.#.##.####.##...###.#.#.#......###.#.##.#####...##.##.#.#.####.#.#.#.###.#########...#.#########.#.#....#.##.#...####..####.###.#........#.#...####.#####..#..##.##..###.#..##........##....####..###########.#..###.###.###.#.#####.....#####.#.##..#.####.#.###..#....####.#.######.###.#...#######.....####...####.##...#...###.#.########.######.#.##.#.##.##.#.##..#.###.##.#####.#.#...#..##..##..#.#...#######....#.##.#.##...####.#.######......#.#.##...###.#.###.##.####.#.##.#####..##.#....#
#.#####.##.........#...#.....#######..#.......#.#......#..####.#...##...#.########.....#.####.####..##.#.#...#.##...##.#.###.##.#.......##.#.##.#.##....##.#.###.....#.#..##.###.#####...###.#.##.......##.#.#.####.........###.###..##.##.#..#.###.#...#.##.#.##....#.###.###.####........##.##.#.##...#.##.##..####.##..##..##....###########.##.#.#.###.#..##.#.###.###.#.#..######..##....##.........###.#.#########...#..#####.###.#...........#.##.##..#####.#.##.##.##..#.##.####.######...#.#######.###........##.#.#............##......####....###.....#.#.#..#.####.....#.##.#..##.##....###.#.##..########.#...####.#...####.##..#.##.##.#...##########.#####.#.#..###.#.###......##.......#.#.#.#.##..##.##.#...#....###########.##.###.###.#.....##...#.#.#.###.###.##.#####...#.##.#..###.###.....#.#.##...#...##......######.#.......####.#.##...##..#.###.##....####.####.##.###.####.#..#.#....###......#.#.##.###.##....#.#####.....#.#...##.....#..##.##.#....####
#.#..##########.#.###.##.#.#.#....#..########.#.#.#.##.#.###.....######.####.##.######...#.....#...###.#.###....########..############.##.........#####..........###.#.##.##..#...#.####.#.#.#######.#.#########.##.######.####.#.#####.##.##....######........#####....#.......#########.##...#.#..###.#.#...##..##..###..#.####.#.###...##.#.......#.#...##..........##..####...##.########.#############..#..####.#.###.##.#.#.#.##..########.##....#..####.#......#.....#.####..#.....##....#.###.......#...#####.##..#############.####.###..#.###.##...##.#######.....#..##.####..#.#########........##...#.#......###....#.###.#.....##.##.#..###.##.......#.#.#.#.#...##.......######.########.#.#.#.#.###.#..#..#.######..##..#.#.#...........#.##.#######.#.#.#.....#.#.##...#.###.#..#.#.##...#######.#.#..###.##.#######.##..##....#.###.#.##.#..#.#####...##...####..#.#..#.#.##.#...###..#.##.#.####.######......#...#######.#.#.#.#.#####...########.#.##..#..####..#.#
####..##..#.....#.#....##########...####......#.###.##.#.#...#.#.##.#...#...........####...#.#...#.#...#...##.#######.#..##.##.#.#.#......#.#.#.#..#.###.#####.#.#........###.###.#.#.#..............####..##.##.######.#.......#.#.#.##########...#.#####.#.###.######.#######.#..###.....###.....##.....###..##..##.#.##.#.##.###.#.###..#.#######.....#..####.####.####.##...#.#..##.......#.....##.##.#######.#.............#.#..##.##.#.######.##.#.##.#..######.####.##.#.#..##.##.####.#.###########.#######....##..#.##..........#.######...###..#.#.######.#.#####.##.#############.#.##########.#####.#.######.#.####.#.##..###.#....##.##.###.########.#.....#.###..######.##.......##..............#.####...##.##.#.#.####.......##.####.#...##...#.#.#...#.#.#####.#.#..###.######.#.#.####.#.###.#.#...##....#.#.#......##.##.########....#.##.#..##.###..###.#.##.##.##...#.##.###.#.##.#.#.......#.#.#....##.###.###..##...#...#...##.####..###.#......##...##.##.##.#
##.##..##.###.#.######.#..##......#..##..##.###.##..##.#.#####.#.#....#.#.###.#.###.#....######.########.####.##......##.##..#.....#.####.#####.##.#..####.##########.###.#.#.##........############.##.#.##......##..#...##.##.....#..##.##.#####.........#####...####.##.##...##.#.####.##...#.#..###.#...#.##..###.#.#.....#.##..#.#.##.#.#..#..###.####..#.#####..#########.####..#.###.#...#.#.....#.#..###..#.###.##.###.##.##.#..##......#.#.#..#....##.#.##.#.##....###...###.#..##...####..........#####.###.####.#..##.##.####...##...###.....######..##......###....#...#.#..###..........#.....#....#.#.#.#....#..#.#.###.#.####.####.##.#.#..######..#####.....#.###.#.#.######.#.#######.##.#.##.#.##.###.####.......#.####.##..###..#####.##.###.#.###.#.#...##..#.##.##..#.##........#.#.#.#.......#..####...#.####.#..#.####..###...####.#....##...###.....#.#...#.###.##..#.#.#.#..#.#.#.#######.#.####..###...#.##.##.#...###.####.#..##..#..####.####.####.....#.#
#...##........#.#########.#######.#.####.#...##..##..#####.....#.#.##.###.##..###.....##.#..##...##.###..##...#######..#..##.#####.###############...##.#..#..#.##.####.#.#...#########.#..##..#.#.###.......#.#.####.#############.#.##...........####.#.####.##.##.....#.##.#..#.#.##.#.###.#####..######....##.#.#.#.#####...###.#.#.##.#.##.##.#.####.##...##..##..##.#.###.##.##.########.########.#.#.##.##.#######..#...........########...####.####...........#####.#######.####..######.####.###.#.......#....##..##..#.####.####.##.########.##.#.#..##..####.#.###.####.#.#.##.##########.##.##...##.......#.##...##.#.#.#....#....#.#..#.#...##....##.##....###...##..#.#..#.##..#..#......##.#.#.....#.#....##..##.##...#....###.###.######.#....#.#.##......#####.......#.##.#..##.###...#.#.#######.####.####.....#####....##..##...#....#.####..##.##.#####.#.##.##.#.#.##.##.#.#.##........#.#.##...#.##.#####.##.##..####.##.....#....##..##.##.....##...#.###.#...#
###....##.#.#####.#...#...#.##....#.#.######.##.####..#.######.#.##############...#.#.#..##....####.#.##.##.#...#.####...##....#.#.##....##.#..##..#..#.##.##...#.........###.#.#.##....##..##......##.###.#.###.#.##.#####.#.......#.#########.##..#######....#.....###....####.#.#.#..#..####.#.##...#.####.##....#.#.#.###.#..##........#.#........##..#..#..##.#####....#.####.#...#...#.###..##...............##...##############.##.##.####..#.#..#####.#.#####.......#.#.##..##...##.#.....#.###########.#...##..#.##..##.#.........##..##.#.#.....#.##.#####........###.#......#...#.##.#.....#####.#########.######..#.#.#.####.###.##.#.##.###..####.#...##.#.#####..##.#.##....#.###...#.#.##########.##.###.############...####.###......#.#.##.###.#.###.######..###.##.##..#.#.######..###.#..###.##..#.#..#####.###.#.#.######..#######.##.#.##.##......#.##.#.#..#..#......##.#.#..#####.####.#.####.#.#...#.##.##.##.###.#....#.#...######.....#####..#.###..####.###
##############.#..###...#...#..##.###.#.#....##..##..##..#.########.##.....##...#.###.##..###.##..........#.#.#........#.##.##.#.#.#####......##..###.#.#.....#...#.###.#..........########..####.#.#...####.#................#.###.#.#.#.......#..##....#####...##.######.####....#.##.#.##.##....###...#.##..###.##.......####..######.#.....######..##.#####.##...#.#.##...###..###.###...###.##..##.##.#####.#..##.##.#.####...#.#.##.#.....##...#.##..########.#######.#.#.###....###..#####...##...##.###########....##..######.####.#..##..#.#####...##..#.#######.#..#..###.##.###...#..##.#.##...####...#.....#.#...##.#....###.#....#.#.#...#..###.....#..#####.###.##.......######...#######.##.#.#.#.##.......#.##.#.#.########..#..#.##..........#.#........##..######.....##.####.#.##.#.....##.#....##.##.#.##....#.#.#..#.##..###.####..#.#..#.#######........##.##.##.#.####.#.##.###...........##..#.###..........#.##....#######.####..#.#####.....##...#.##.#..#.#
#....##....#.#.##.#...#####.#.##..##......#.####..######.#....#.#......#.#..###.#.#...############.###.#.#######.#.##########........########.#####.#...##.##.##.####...#.#.#.#.##..####..##......#...#.#....#######.#.##.##.##.#.......#####.#.##..##.#..#.#########..###.##.####.........#..##.###.#.#......###..####.#.#......###..#####.#########.##...###...##.##.#.#..#.#.##.#....####.#.#.#..##..####.....##............###.#.#.#..#.#.#....#.#.#..##.#.#....##..##....#.....#.####.##.#####....#.#.....#.##.....####..##..######.....####...#.#.###.###.#.#.#..#####.##..#####.#.###.##.####..#.#..#.###.#####...###......####.#.####.#.#.###...##.##.#####.##.#..#.#.##.####.##.######.##.#.#.....#.#....#.##.##...#.........#...##.###########.#.#.##.####.###..##.##...#####.....##....#..####.##..##.#.##.##.#..##.#.....#.##.##.##....#.##.#.##....##..###.#.#.#....##.####..##....##.#.###.##.########.#.##..##.#.##.##..##.#......####..##....#.####.#.##.#.#.##.##...#
####.#####.#.#.#..###.##.##.###..#####.#.#####.####........##...#.#.#.#####.....#.##.##.....#......#####.#.#########......##..#.#.##....#.###.#.##....#....##.####.###.##.#.#.#.###....#.####.##.###.#######.#.......####..#######.##.#.......#.#########...#.###.####........#..########.##.##..##..#.######.#.#.##..##########.#.##..##.###.........###.##.##.###.#..######.#.##.###.##..........####.#.#..###.########.#.##.##......#.#######.###...#.##..#.####..##.#####.#.########....#.#..#####.#...###......#.#..####..##.#.##.#####.#.####...#.#.#.#.#.#.#.##.#.#......##.......##..#..#.#..#####...........###.....#.##..##.....#.#...#.#.##.###.######.#..#.##.#....#####......#.#####....#####.....#.##########...#.##.##.#.#.#....#.##......#.#..#.###...#####..###.####...##.######.##..##..###.####.#..#....#######.#.#.##.##..####.#......#####....##.##########.##.#.#..###.#.##..#..##..#..#.#.#......##..######.##.#####.######.##.####.###.#.####.#..###.##..##.##
#.#...##...#.#.##.#####.......####.#.#.###.#.#....#.#####.#####.#######.#.##.#.##..########...##.###........#.#.#.#####.#....######..##............##.##.#.####.##.#.######.#.#...##.#...##.######.###.#..#########.###.#####.##.#.#..###.###.#.#.###.#.###.#...#.#..##.#####.##..........##.###....######.#.......##.###...........##.##.##..#.#####.....##.##.#.#.#.###.##.......#.#.###.##########.###.####.###.##.##..#.#.....##.#...#.#.#.####..#....##....#...##..#.....###..#.#.##.#.....##..######.#...####.####...#..###......#.......#....#.............#......######..####.##.###.##...##.#.##..#####.###.....#.#.#####..#####.#.###.#.#.##.##..#.##...##...##.####..#..##.#####.#.######.#####.##.##..##.#######.##.#..#..###.####.#..###.#######...#.##.##.#.##..##..#.######.##......##.###..##..##..##.####....#.####.#.##.#..##.##.###.#.##..#..##.#....##.##..#.##.#.##.#.###.#..##.##..#####.#.####.#####..##..####..#.#....#..#.##...##.#......##..#.###...##..#..#
#.###..###.#.#.#....#######.#####......##......##.####.####.#....#.#.##....#######.#...##.##.##########.###...#....#.#########.#....#######.##.#.#.##.#..#.#................#.#.########..#.#..........##.#.#.#..#####...#.#...#.###.###..#...#.#.........#.###.....#####........##.#####.#....####.#.##.....##.#.###.#.#.######.##.##.##.########....###.......#.#...#.#.#..#.###......#####.#.#...#.#.....##..#.....##################.#.#.#.##...##.########.###..##.#####..###......#######..##..##....#####....######.##.#.####.#...#.###.##################.##.###..#.#...##..###.......###......##.##.....#...#.########..##.#.#.#.#.#.#.#.#.##..##....###..###.##.##.##.#.##....##..#.#.#........###..#..##....##..#######.##.##.......#.##...###.#.#.###....##....##..#.##...###...###.##.....##.##..##..##...#...####.#.#....##.##.##.#..#...#####.#.######.###.....##.#....##.#..##.#.###.###.#.##..#..###...#.##..##.###..##.##.###.##..##.##..#####.####.....#.#..##.#.##
#.##..##.#.#.#.#.####.#.......#.######.#######.#..##.....##.####.....###.#.##.#.##.#.#.........###........###...##.#.#.#.#.##....####.#.##..##.#.#######.#.#####.###.#.#.##.######..##.##.#.##########.#..#.#.##.#.##..#.....#.#.##..#...##############.#.......#.#..#.#..###.##.####.......#######.#.###########.#.#.#.#####....#..##....#.#......#.###..#.###...##.##.#.#.#####..#.#.##.#.#...###.#.#####.###...#.#..###..##.#.#.###.#.#.#.#..#.#.#...#####.#.....##...##...##.#####.####.....##..#####.###########.#.##.##.....######.####....##...##.########..######.#.##.####.###.#####.#.#####.######.###.##.######......##................#.##.####.#...##................###.#####.#.#.########.#######.##.##.##.###..#.###..#..###.#....#####...#....#####..####.###.#..##.##.#.#...####.###.##.###.###.####.###....#.#.##.#..#..#.##.##.#.#..####.#.#.##.#.#.#####....###.##....##..#...#.#.#.#..##.##.#.###.#.###..#.....###.#....#..##.##..##..##.#....##.#######.##.#..#
#.###............###....#.###.#...######.#.#.####.######.#..###..###..##.#..#.#.#########.#.#.##...###.#.####.###....#.#....########.......##..####.#..###.#.....###.#.###..##.#.##.........#.#..........##.#.#.......####.###....#########.##..##......##.#.#######...####...#..#.########.#.##..#....#....##.#..#.#.#..##.#######.#####.#.##########.##.###.###.#..##.#.###.#.######.#....###.###.....#.....#######.##.#.##............#.#.#.##.#####...##..#####..###..#.#..#.#......#.#####..##..#.####.....#.##.......##.##.##.#.####..####..##.##...........###...#.#.#...##..#.######...........###.###....######.######....#########.#.##.......######.##..#.#.##.#######.#....#.#....#.#.....##.#.#.#.#.#####.#...#..##.####.###########..######.####.#.##..##.....##.#.###.##.###.####.####......#....#..##......####.#....##...##..#.#..####..##....#..#.#.#.##..##.###.#..####.###...###.....#.##..#....###.#.#.##.#.######..##.#.#.##...##.#..###.##.#.#...##.##...#.#.##
#..###.##.#.##.#...##.#####.....###..##......##....#.....##.#.##.#...######.#....##.#.....#.###..###...#.#....######.#.####.###......####.###.###.#.##...#.#.##.##...#.#...###....#########.#.#####.##.#..#.#.##.######.####...##..............###.#.##.########.##..#..#####.##.#...#.#.......##.####.####......##...#.##..#.#.#....###..#.##.##......####.......##..#.#.###...##.....####.#.#.#.#####.###.###.##.#.....#....###.#.##.#........#####...#####.#.###.##...#####.#.#####.##.##.###.###.#..#######......###.#.##..###......###.##...##..####.#######...###.......#..##....#.....#.##.##.#..#..#########.#.#.#..######.#...#.#.#######.####..#.##...##.#####..#....##.####.#.##.#...##.##.##...........#.#.###.#.##..#.#....#...##....##..##....#.......######.###.#.##...#.##...##..##.###.##...##.#.##..##.#..#.#.##.#####.####...##...##.######.#.##......##....#.#.##..##...###.##.#####....##.#.####.....#.##......#.##.####.#..##.##..#.###..##.####.##...###......#
##......###..###.#######..#####...##..####.#..##.#.#####.......####.##.##.#.##.####...##.##.######...#.#.##.###.####...##...#.######.#......#.#........##########..#.#####.#...##..##.......#.#.#.#######........#........##.#.#..##.####.##.#...########.#.#.......###.......##.###...##.###.##..###....#..#.##..###...###.#.#.####.....##.#..##.####.#.########....##.#.#...########.##.......#.#.#...#....#.....#####...#.##...#######.##.##..##...#...##....#.#.####.#.##.....##......##...........##.#.#...##.#######.###...######.#....###.###...#######..###.###.#.######..####.#####.##########.#.##.##.##.....#.#.##..##..#.#.......##.#..#....##..###.#####.#######.##..#.#..#.######..####..##.###.#.##.....##..#..##.#.####.###....##..#.######.#######.#.#.##.##....###.##.#..#..##.#..##########.....########.#...####.....#.##.####.###..#.#..#.#..###.##..####.....###.####..#..#..##.#..##.##.#.##.#.#.#......######.#...##..#.##...##.....##..#..##..##.###.#.######
#..#.#.##...##......##...##..###.##..##.#####..###.##....#####.##.#.##.#....##....###########...######.###..##.....#.#....#..........#.#.#.##.######.#..#.#.#.######.###...#######....##.##........##.#.#.#.#.##.##.#####....#.#.######....#####.##.##.#......#.#.###.##.#.#.##..###.#....##..#..##.#.##.#######.##.###.........##.####.###...######.#.#.#........##......###.#.##..##.#..#.#.#...#.###...##...###.......###..###.##......#..###....#####..####..........#.#..##.######.#########.#.##.##.#.#.#.####...##....#.####.###.####.....#.##.##.#...##.#.#.#.########.#.##.##.#..#####.#..##.#.#.##.#..####.#.....##.##..#####.###.##..#######.##.##....##.....###...###.#.##....##..##.###..######..#####.##.###.#.##..#..##......#####.##.##......###....#...##.###.#..#..##.##.##....#.##.#####.#####.####..##..#.#....#####.#.##.###....##.#.##.#...##.#####.##.####.##.....#..##.##.##..#####.##.#....#####.##.#####..#.#.#####.#.#..#####.######.#.####.##..#......#..#
##.#.#..###..###.##..##.##..##...##.##....####..#...######.............####.##.####........####..###...###########...###.###.#####.#.#####.#######...#.##.#......#####.###.#.......#.##..###.###.#.#....###########.#..#..#########.#.#######.##.#.......#.#.######...##########.#...##.#####...##..#.#....#.#..........######.##..#......#.#..#.#.#.#.#.###############.##.#.#..##.#..##########.#.....###########.#.##.#...###...##.########.###.##.....##.#######.###.#.####....##....##.....#####.......#####.####.#####.#.#.#..#.#.##.#####.#....#..###....#.....##.##....#.##....#.##.##..##.#......##.##.#.#####.##.##..####.#.###....##.#..##.#.##..##.###..#.#.#.###.#........####..###.#.##.#.##.######...#...#....###...######.####........##.###...####.#.###...#####.#.##..########.#.##.#.##........#..##.###.####.#####.#.#.#....##.####.#....#.####..#.#..#....##..#####.##.##.#...##..##......#.####..####......##.......##..#.#.####.#..##.#.....#.#.###...######.##
#########...##....##..#.###....#.....####..#.##.###.##.....#####.###.#####..##....##.#####...###.#.#####.#.#####...#.#...#.####.##.###......##.....###.#..#####.##.##......###############.###.###.####..##..##.#...##...####.#.#.#.#.#.###........##.##.###.#.#.####.....#.##.########.###.##.####.######.....##.#######.......##.#####.####.##.....#.#..#....###.##.#...#...#.##..##..##.#.#.#....#.####.####.....#.####.#.#...#.#..##...###......##.##.....##.#####......######.#..####..###.......##.##.##.#.................##.#...##.#.#.#.####.##.....##...#.#..#.##.##...#####.#..#.###.#....#.##..........##.###.....###...#.##..##..#.#.##..#.#..##..#.######.#.#.....#.####.#..##..#.......#.#..###..##.####.###.##.###...#######.#####.#######...#......#.###.###.##.....##..###.......##.#.######.##.##.##..##..#.#.##........##.###..#....####.#.#.#..##.##.####....##...#....##...#####..####.###....##..##..#.####..###.#..##......#.#.##.##.##.####.#...###.###.#...#
#.......#######.#####.....##.####.#.##..##....#..#..####.####....#....#..##....#######.#.###.#...#.#.##.....##...#########.##....######.#.########.#...#.##.........###.#.##.......##.##........#....###.###.##.##.#######......#.#.......#######.############.....#..#.#......##.......#.......#.#.##.##..#.#..######.########.##.#.##....##.######.#.##.###.##...#..###.###.#.###..##..........#.##..##.......###.#.#.############.#####.....#.#.#####..#.#......######.#..........###.######.########.#..##.############.##.#......####.......#.##..#########.#####....######..#.#....##.#.#.##.#########.#.#.#.....######.#.###.#..######.....###.....####....##.#......#.#.#.#....##..##.#######.....##.##.....##.........#.#.###...#...#......##..###########.#.#.#.#.#..####.###.##.#######.#..#.#..#####..##.#..####......########.#....##.####.##.#.#.#.#.###.....#.##.#..###.####.##.###..###.#.##..##.######....##.############....######.#.##..#.##...##...###.#.....##.##
#.#.#.#....#.#####.###.#######..#.#..##..####.##.##.#..#.#....#.#####...##..#.##.#.#.........###...#.####.#....####.#.#.#.....#.##...####.#.##.#...###....#.######.####.#########.###.#######.#.####......#..#...####......####.#.######.##.#.....#.##.#....######...#####.###.######.#.######.##.#.#...##########........##.#.......###.#..#.#.##...#.##..##.####.##.#.#.#...#.#.#.############.#.##.##..#.#####...###..##.#.#.##.....####.##.#.#####...#####.##.##...#############.##...##..###.#.##...##.....##..........#####.###.##.#####.#......#####.######.######..#..###.#.####.##.#.#.####..#.#....########.##.#......#.#...##.#.##.#.#..######.######.##..##.###.#.#.#.####..#.###.#.......###..#.#..##.##..##.#.##.....#.#.#.###.##.###..##..#.##.........#.....##.##.#.#....#..##..##.##.#.#.##..###.##.##.##.####.#####........#####.##...#....#.#.#...#####...####.##....##...#..#..##...#.#..##..#.#####.#..###..#.#..##.##.###..##..#.##.##..#.######.#...#.#####...#
##########.#..##.#.#.....#.####.####.##.##............##.#.##.#.#.....#..##.###..#.###.####.##.###...#..####.####.........#.#.#..###.#.####....#####.####.#####.##..#.#####.#......#...###.####...#######.##.#.####.####.###.##......##.......#.###.#..####..#.#...#####.###.#.#.#.####.#.......#...#.###.....##.##.#####.##.####.##..#####...#.####...#..##...##.........###.#.#.#..#.#.#.......######..####.....#.####........########.#..#######.#..###...####.###.##.#....#.......###..##.##.......#.####.#..############.#.###.......#.#####.#.#........##.##..#.####.#.##...........#.#.#.#.###...#######.#.##.....##.#.#.....#.......######..#####..##.....##.##################.....#.####.#######.#.#.#####..#####.#..###.#.###.##.....#...####.#.##########.#.###.#.....#...####.##..##.......#.#..##....#.#..##.#.....##.###.####..###..####.####...#.#.###.#.#.#...#...####..###.#.##.#####.#.##....##..##.####..##.##...##.........####...#...#.##..##....##.##.##..##.##
##.#....##.##.#....###.###.#.#...........###########.#############.#.###....##..##.#.###.#......####.#.###.####.#####.##.##.#.##..#.....####.#....#..#.....#..#..#.##..##...######.##.##.#...####.#.#..........#.#..#.##.#......####.######.#.###...##.#.###...######.#......#...#..#######.#.#.###...#.#####.....###.....#....#..#####.#####...#.####.##.#..#..########.##...#.#.##.#.#.######.###.######.#..#######....#.#.##..##..###.####.##......######.##....##.##.####.######.##...##..#..#.#.#.#.#....##................##..#.#.#....##.#######.####.##..##.....#.......##.####.#...#.#.#..###.##..........#####.#######.##########.##.#...##...#.####.##....#.##..#.##..#......###.#.##...#.........####.###.#..########....##..###.#.####..##..........#........#######.#.###.....##..#######.....######...##.#..####.###.#.###....##.##..##..#..###.#.#.#.#...#####.###.##.##.##..#..#.#.#......#.#####.##..##.#.##...###..#######.###.###.##.#.#..#.######.#...#..##.....#
#..####.#...#.###.##.....#.#.##########.##.#.#..##....##..#.##..######.###.##..###...##..######.#.#..#.#.#............##.##.#####...#.#...#######.##...###.##.##....##..###.#.##.#.##.##.###..#.#.#.##########.#.##.#.##############.#.#....###...#..........#....#.#.######.###.#.##.##.#..#.#..####.#..##.###.#########...##.#.##.#.#..#..###.....#..#....###.#.#.......###.#.#.##.....##...####.....##....####.....##########.##.##.#.#.##..####.#.#...#.....#.###.##.#.##.##......###..##.####.#.#.###.######.#.#.#.#####.#....#######.#..#.##...##.###...##.######.##.#.#.#####.#####.##...##.#.#..#####.##.#..####.#.#.#.#####...#.......###.####.#..#.######.##....##..##.#####.##......######.#.##.#..#....#####.#.##.#.##.#..##.#.######.#.#####.######...#.##.####.##.....#.##.#####.##.#.#.#####...#..###....#.##.#...#.....#####.#..###.###.#.##.#.#.#.#.#.#..##........#.#...##.#.##...####.#...###.#....##..#..##.##...##..###...##..##.##.###.##.#.##...###.#.#####.###
#.####..###.#.#.#..#####.#.#..##.#.###..##.#.##..##.#..##......##.#.##......##.#.###..##.#.##.#.#.##.#.#.###.########.##.######.###.#####.#.#.#....##.##.........##..##.#.#...#....##.#..####........#.##....#...##...#..............#...#.######.##.#.#.#.#.##.#...#.#....#.##........#...#####..#.#.#.##..##...##.#.##..#.#.......#.##.##...#####.##.######.....#######.#...#.#.#####.##..#..#.##.##.########.#########.#.##...##.##........##..#####.#...#####.##...........###.##.#.##.#....############...###########....##.#.#.####..##...####..###.###....#.#....##.######.#....#....##.###.#.#.##.....#..##.#....#.#.#..##.###.###.#.#...#........##.##.###..###.##..##..##.#######.####..#.#########.#.##...#......#....####..#....#.#......##.####.#.#######..##.#.#..###.#.#....##..#......#.####.##.#####.#...##.###...#.###.#.#...##...#.#.#.#....#.#.#.####.#########...##.##.......###.#####.##.#.#.######.##..#.#..#####.#.##.####.##.##..##.##.#..###...#.#...##....#
#.##.##...#.#...#.##.###.#.#.##......##.##.#.###.#####..#####.###....#####.##..#.#.##.#..#...........#.#..#####.......##.#.##.#.#######.........##....######.#.#.###.##.#.###.####.#..#.##.#..##.###....####.#.#.#..#.#######.#.##.#...#.###..######.#########..###.#.####.#.#..######.###.#..###........##.###.###....#########.####.#...##.#####.......#.######.#.#####.###...#.#.#....##.##....#..###...........###.......###.##.#####.###.###.##.#####.###.##....#.######.######..#..#.#.####.#.#.##.##..#.#.#.#.#.#.#######.#.#..#.####..###.###..#....####.#.####.##.#........##.####.##.#.#.#.#.######.#####.####.....##......#...###.#.#...#.##.#..#.#..#...##.#..##..##.##...#.#.#.##.##.#..#.##.##..#..###.######.####.##.##.###.##.###.##.....#.#....#######..#.#.######.#.#.######.##.#.#.....#...#.##.######.##.#####.####....##.#####.#.#.#.##.#........##............#.....#.###.###.....##..........###...###...##...##..#.##.#.##.##..##..#.##.#.##.###.....#####.###
#.#..####.#...#...............#####.###.#..#.#....##.##..#.##...##.#.#.###..##.#.#.##.##.###########.#.#.##.#.###.#.######.#....#.#.....####.#.#####.##.##########.#.##...#....#.#.#.##.##.############........######..##.....#.#..##.##..###...##...#......#####......#.#.....##........###.##.###.#.##..#.#.....#.##.#.##.......#.#.#.#....#...###.#.#................#...###.#.#.###.#######.#...##############.....#.###.#.#.##.#.#.#.##....#.##.....####...##.#.########.#...###.##...#.#.##.#.#.......####..........#......#.##...#####..##..###.###.##............######.##.##.......##.#.#......##..#.####..#.#####.##..#.##.###..################...##...#..#.##.##.##.....#........#.##.##.#.....##.####..........#..............##.#.#######.##.####.#..#.#..##....##...........##...#########.###.#..#.#.#.##.#..#.#....#.####.....##.#.#......####.#######..#.#.##.#.#.#####.#..#########.####.###.#.#.#.###.....###..#####.#.#.....#.##.##..##..#......#####.#####...#.#
#.##.#.#....#.#######.##.####..##.#.##..##.#.###.##..###.#..#.######...#.##......#.#..#....#.........#..........#.#.###.#..####.#.#######....#...###.#......#.#.#..#.####.####...#......##.###........##.#.#.#..##.#..#######.#############...###..###.##.#..#.#..##.#.....##.########.###....#.#...#..##...#####.####....#######...#.######...###.###.#######.########...#.....#...##..##...#..###..#.#.#...#####.#######............#.#######....#####..#.###....#.##.......#.#......###.#....#.#.####.##.#.#..#.###.##...########..#.......####.#...#....##.##.#.##.#..##....#...##.####.##...#####.####.###..##.#.#..##.###.#.##...##..##.###.#.##.#.##.########.#.#..##..##.#####.#.#.#.........##.#.##...#.####.#####.#.#.#.#######.###....#.###...#.#.#..##.#.##..####.########.########..#.##..#..#.#.#.##.#.#....##.....##.#.##.###.#.##.#.###.##..#....##.#.################.#....##.#..##.#..#.#.#.#######...#####...##...##..#.##.####..#..##..##.##.#####.##....#.###.#.#
#........##.###.......#..#....##.....##.#........#..##.#.#.##...##...#....######...##.####.#####.###.##.#######.#####.#.#.##..............#.##.###...######...#.##.............#...##.####.#.##.##.##..#.######.##.##....#.######.##.#.##.###..######..#####...####..##.#.##..##.........####.#.######..###.#.###..#.####.#..###..###..#.#.###.##..######.############..#.#####...#####..###.####...##.#.##.##.....##...#..#.#.######.#..##...###.##.#.##.......##.#.#..#####.########.##..#.####...##.####.....####.#.###.####..####.#######..##....#...##....##.#.#####..###.##########...###.####.....#...###.#....##.##..########.##..##...#.....#.#.....##..........##..#####.#.##########.####.####.####.#...#..#.......########.#....####.#.#.###.#.#...##..#....###....##..##...#...####...###.##.....#.##...####....#.#.##......##..#.#......#..##.####.#..#..##.#.#.##.#.##....#.###.#.##..##.#.#.....##.#..###.#...###..#####...#..####.##.##..##..##.###...###.###.#.#...#
#####.############.####.#####.######....########.##.##...#.#..##########.##..#####.##.#.#..##.#####...###.#.##...#.#.......#####.#.#.##.########...###.######......#.########.###.##..#.#..#.#########.####.#....#.####.##..###...#.......#.##.#.##.####.#.###......#####..##..##.#.##.#.##...#.#.#########.#.#.##....#.#.#.##...##.##.#.....#.##.##..##......##.....#.######.###..##...##.#...####.##.#.......##.##..#...##.###...##.##.####.#.#.##....#######..########......#.#.#...###.#.#.##.###..##...###..##....#...##.#.##..###....##.#####.##.#.#..#.#######.#...##.###.#..#.....#..#..#..#.###.###.#.....##.....##.#.#......###..###...###...####.########.#.#..##.#.##..#.###........#..#.#.##..##..###.######.#.#..##......####........#.###.#.###.###...##.#.####..##....###.###..###..#...##.##.#..###.#..####.#.###..##.#..#.##.#.##.#.####....##.#.##.##..#.#.##.#..######.#.#.#.###.##.....#####..##.#.#.###.#.##.###.###.##......##....###.##..#.###..##..##.#.##.##
#.#.#####.###.###########........#.####.#.###....##..##.##.##..#.#.###...###............##....#.#.###..........###...#####.#.....#.#..#######.##.####.....########.#.##..##.....#####...#.##.#.#..##.#..##..##.#...#.##.#..##.###.####.##.#....#.##..##........##.#.#.#...####.#########.####...#.#.#.##....#.#.#####.......####.##.#..#####...#...##.#..##.#..#####.###.##.#.#.##..###.##.###....#.##.####.#.#############..##..#........#.#.#...#####.##.##...##..#.##..#.##.....###.#.#.#.#.##.##..#####.#...##..#.##.###.....##.######.#...##...#..########.##.##.###....###.##.##.#####...##.#####...##.##.#.#####.#..#.#.######.#.##.....#.#...#......#.#...#######.#..#.#..##.#.#######.###......##..##.##..###..#.#.##..######......######.#.#...#.#.......#..###.##...######......##.##.##...#..####...##.#.#.###.#.#.##..######.###..###..####.##.#....#.....##.#........##.#.##.#.#....##.######..##.##....#.#.#.#.#..#...#.#....#.####..####.#.#.##.##..#..##..##....#...#
#.#.##....#...........##..##.#.#..........#.####....##..##.#..##.#...###..###.#.##.##.#..#.##.....########.#.#..#######.##...#.#.########.#.#.#####...#.#..........#.###....##.##..###.##.##...##.##.#.####.#####.##....#.##..###.##...#..####...###.####.####.######.######.###.#.#.###..#.###.#......####.#.#.#.#.#######.......#.##.##..###...###..#######.####....#..........##..#...#.######.#.##..########.######.....#########.###.#.#.###.#.#...##..##.####......##..##.##.#.......#...##.##.##.#.#################..#.#....#....#.##.##########............#.#.#.#.##.......###.#####.##.#.#...###..##.###...####.#....##..#.#..##.#.######.####.###.#.#...#.#.#.#.##...##..#.###..###########.###.....##.#.##.#########.#.#..#.#.##........###.....#.##.###..##..###...##.#.######........#.####....#..#.#.#...#.#########..#....###..###..##..#######...######.########.#.....#.....####...##.##.##...##.###.#.....#.##.###.####.#..#######.#.....##.###.#.##..######.##.##
#....##.#.######.####..####..#.#.###.#.##.#.##.####.###.##.#.##..##.##.##..######..##.#.######.##.#.#.##.######..##.#......###########.........##.###.###.##.#.##.##..###.###...##.#....#..###.........##.#.#.#.#..####....##.#....##.###..#.###.#.#..#.###.##.#.#......###...##.#.#.#.##.......#.####.#.##.#.......##......##.##......##.##.###.#.##..##..#...#.####.####.##.##..##.#.###.#.#.##...###.#...##.#..##..##.##..##.#.#...#.............###.#..######.###############....#.###.#.####.#...#.#..#.##........##...#####.#...##........##..###########.#.#.......##########..#...#.#...#...###.#.##.########.##.....##..##.#.#.#########.####.##.##..#####.#.....#.####..##...#.#.##.#.##.......#..#.#..........#.##.##......##.######.#.##...##.##.######.##..#.##.#.###....###############....###.###.....###.#..#..##..##.####.#.##.#...####.#..##.###....##...#.#.#.#.#####.##.#####.###.#..##..###..#..##.#####.#.....##.##...#.##.##.#..##.####...#.....#.##..#.......#
#.#.#####.##.#########.#....####.##..####.........#.............###.#..###.#.##########..##..####.....#..##.#.##..#.#########.#.##.#.##.#.#.##.##.#####...##.#..###..##.#######.#....##...##.#.#.##.##..#.#.#.#...##....##..#.####.####.##....#......##..#...###.##.#.#.....#......#...####.#.#.###.##.#.#..#.#####....####.##.#..##.#.....#..##...##.####.###.#..##...#.########.#....###.....#..###.#.##.##..##.##.#######.#....###.#.#.##.##.#.#.......##..##...##.###..##..###.#####......##..###.#.##....######.#.########################.##.##...####.########.#.#..##.#..####.###.#.###.##.##.....#...##...#...#####..##....#.#.#.##.#.#..#.#......##..##.#...#.#....#.#.##..#.#......#.####.#.#...############.##.#...##.#.#.#####.....######.#####.#.......#.##.##.#.#.####......###....###.####.#.#.#####.###.##...##..##..........#.###..#.#.#.##......#######...#.#.#.##..#.....##.#.#.#...####.#.##...###..##.....#####...###.#..#..#.##.#...##..###.#####..##.######.##
###.#.##.......##........#.##.#####.##....#.#.###...###.#####.###.#.#.##......#.#....###..##..#.#####.##.#....##.##.##....#.#.........########....#.#####.##.##.###.##...##.#############......#.######.......##.##########...#....#.#..#####...####.###.###.##...######.#.##.####.###.#.######.##.......##.####....#.##.....####.#..##.##...###.###..#.#......#.##..#....##.#.##.####.#.#####.#.###..#.#...##.##.#...##...######.#######.##.#..####.##.#..##..###.#....##..##.....##.#..###.###.##.#.#.#..#.##.##.###..###..#.#.#.#.#.########.#...###.#......#.#.#######..#...##.##..............####.#...######.##.###.######.##.......##.#.##.....###.##..##..###.#####.##....##.#...#.##....########.##.###.###.......#.###..#####.#.##.#####.....#.#.#########...##.##...#.#....####...####.#.#..##..###.##.##.#.#.##.#####....#.#.####...#.#.##...#..######..#.#.##.#...#.#..##.##.#.###.#.#.##.##..#....###.#.#.######.####...###.#.#.##.##.#....#.#..##.....#.#.##..#.#.#...#
#...#.#######.#######.######....##..###.#.#.#.##..###.####....###......##.###...##.#...##.###.#.......#..####.#..#..#####...###.#.###.##.###.####.#.#.....##.####.#.#..#......##.#....########.#.#.#..#######.#..#.##..##.###.####...##.#.#.######....#....#.####.###..##########..........#.#.....#####....##.###.######.#.###.######..#..#.......##.#.######...########.#..#.##.#.#.....##.....#.##.....###..##...######..##.##.........##.#####.#.##.##..##..##.####.##.##..#.#.#..#####..#.#.##.#.#.#.#####.#...#..##.##.#................#.#.###.#.######...........##.###.#.....#.####.##.##......#.#..##...................##.####.#..#..###.#.#....##..##...###.....#..#########.#.#..##...##.#.####..#..#.#######.#..######.#..#..####..#.#.#...#...###.....#..#..##.##.####..#######..#.....####.##..........#.##.##.###########.####.#.#.####.#.##.####.##.#..#####.#.##.##.####.#.......##..##.##.#.#.#.#.#.#.#.#...#.###.#.#.#.#..#.#..###.#####.##.##.##.#.###.....###.#
###.#.#.#.......#.#.####.....##....##...#.#.#.#####....#.####.#.####.######.###.######.##.#.#.#######.##.##...##.#.##.#.###..#######...#..#.....#.#.###.#..###.##.########.##......##....#########.##.#.#####.##....##.#..###.##.#.#....#.#.#.#..####...##.#.#.##.#.##..#.#.......#.#.##.#.....#.####....##........##...#####.#........######.##.#......##.#####.#.#####..##......#.#.######.###....#####.#.##.####.##.#.##.......#.####.##..###......#####....##..#....##..#########..##.##...#.##.#.#.#..##.#.###.##.##.#..#####.#.#.#.####...#.#.#.#..#.######.##.###........#####.#.##...#..#..#.##.####.#####.#.###.#.#.#.#.##..#....##...##.######.#..#.#####...#####.#.####..#.#######.###.##..#.##.##.##.....##.##.#.##.##...##.##.##.##.#######.#.###.#.######.#.##..##.##.#.##.###.##.#.#.#....#..##########...##....#.#...##.#............##............#..##.##.#........#...##.#.###.####.##..##.###.......#.#.##.##..##.....#.##...#.###....#.#.##.#####.....#####.##..#
#.#...#.###.#.#...#.##.#########.######.###.###.######.#.#......##.....##........##..#......................#......##.#...##.#.#...###.##.#####......##.#####...#.##.##.#..#..#######.#.##...##.#................####..##.#...#..######.#.#.#.##.#.####.#....#.#....###...#####.#.#.#########.####..####..###.#.##.####.##.#..############....#..#.#.##......#.......#.##..######.......##.###...#.##........#.#....##.#..##.#.##.#.#.....####.#####.#######.#..##.####.###.#.#.#.####....####.#.##.#...#.##........##.##.##..########.########...#.#.##...#.##...#..#...####.#.......#..##.###.##.#.#..#......##..#...###########..##.##..###.##..#.#.####...#.##..###.....#.##.##...#..##.###....##.#.#.....####.#..#.......#.##.#.#........#...#.#.##...##..#.#........##.##...#...##.#.#.##.#####.##...##.####.#####..#.####.##.##..###.##.##.####..##.#.#.#.#...##.......##.###.###.#....#######...##.##.#####.#.###.#.....##..#####.#..###....#..##.#....#..##.##.####.##...##.#
#.###...#.#######...##..#.....#####.#.###...##....####.#.######..##.########.#.#..##.######.########.#.##.#.##.###....#.####...###.##......##.###.##.#####....#...........#########.###.#..#..#.########.#####.#....##.##.###.##.#............#....#..#.##.#.#.####.#.###.##.######.#.........#.###......###..#.####.##.##.##.###.###.#.#..##.##.#.#.#######.#######.#.##.##.###..#.#.####.##..#.#..######.#...####.##.##.####..###########.#...####.##.##.####......#...##.#.#.#..#.###.##.##.#.##.###.#..########.#..#..###..........#........#......###.#.###.#########....#.#.###.#.##...##.#..#.#.######.######.####.#.#.#.#..######.###...##.#...##.##.##..##.#.#####...##..###...##...#####.##...#####.#.#####.##.##.###..###.########.###........#..##.######.###.....###.#.###..#......##.#######.##..........##.....##.##.#..######..#.....#########.#####..###.#.#.####....##.###.##.##..##.##..##.#..##.####..#.#.#####.#.##..#.##...####.#######.##.###.....##...###..#.#
#.....#.#.##.##.#.#####.#####.#.#.....#####.#####.#........#.###.##.##.##.#..#.##....##.#...##....################.##.#..#.###.##.....##.#..#..####..#.##..######.#.###.#.#...............###...##.......#########.##..##.#.#....###.#.######.####.#.##.####.#.##.............########.########..####.##.##..####...................#.#.##.#..#..#.#.#.#.....#.####.......#..#.######..##..########..##.######.#.##..#.##.#.#..#####.#.###..###.#....##.#.....######.###.##.#...##...............#..#.#.#.###..##.#.##.#.##.###.####.#########.##.#.##.....#.#....####.#####.##.#.#...#.#..##############.....##..##.##.....#.#.####.##.....##.##..###..#.#..##.##.....#..###..##.#.###..###.#.....####.###.......###.####..##..###..####.#.#.#.###########..#..#.##########.##.#.#.#.##...##.###..#.#......####.##.##....##.##..##.##..#.#########.##.##.#.##.#.....##.#######.####.##......##..##.#...##....#.###..##..####.#.##....###....#.#........###....#.....#######.##.##...#
#######.#.#........#.#....##..#.#####...#...#.#.#.########..........#..#..#.########......#######..#####.........####...##..##..#####..####.##.#.###....####.#.######...#.##.#.##.#.###.#.#...#.########.#....##...#..###...####...#####.#............###.#.....#.#.#.####.##.#.#.##.####.##.###.#....#...########.###.#.#.######.#........##.##.#####.#####......#######.##...#.#.###....##.##.#.##.##.#.##......##.#.#......##..#......##.....#######.#####...............###..####.##.#######.##.#.#.#.#.#.##.........#...###########.......##.#.##.#.#.....#.##..........##.#.##.#########..#####.#.#####....#######.##...#.##....#####.#...#.##.##.#.##.#..######.##.#.#.##....#...##...###.#.#.#..#.#######..#..#.#..###.##.##......#........##.....##.#.##....#............#.#.###.#####.##.#...###.###.##########.######.....##.#...#.#..#...#..#.#..#######.##..#.#.#...##...######..#.###.##.##..##....#..####.#.#.....###.##...######.###.#.##.####.#.##.####.#.#..#.####.#
#....##.....####.###.##.#.###...#######.#####......###..#..####.###...##.####.##...###.##.###.....##.#.####.####.##.###.###..##....#####.......#..####.##.#..#.#.####.###########.#.#...###.#.#.......#######..###.##.#.###.#.####.###...#.#.#.#.#.##..#..###.#######.###..#.........##.#.#......#.##.##.##...#.########.#.#..#.######.#.#.#..#..##.#....#.######.#.###....###.#.#.#.#.##..#.#..#..#.##....####.###....######.###...##.#....#.#..#.##.#..##.####.##.#######.#...##.########....................##.####.#...#.#......#..#.#.#.#.##.#.#..####.##.#..#########.##..#..#########...##..#..........##.##...#######.#.#####.###...###...#..##.#.#..#.##..###....#.#.#####.###.####...###.#.##.#.#....###.##.#.##..#......#.####.########.##.#.#.......####...#.###.####.#.#..#.....##..#.#####.....#.###.#..#.#.#.#..###.####.###.#.##.##.##.##.##..##.##...##.#.#...#..##.##.##.#.##.##..#...#######.##.###.....##.######..###.##.##...#######.##...#.#####.#.#.##.#.#.##.#
#.##....#.###.....#..####.#.###.........##.#######...##.#.###.###...###..##...###.##...####.####.##.....#####............###.#..##..##.#######.#.##.......##......#.####.##.......#####..############.#.##.###......#.#.#.....#.#....###...#####.#####...##....#.#.####...##########.#......####....#.#..####.#..###.###.####....#.....#.####.##.#....##................##.............###.#.##.##...#####..##......##...##.###.#.###..#########........##..#.#...####......###.#...###.##..#######.######.#.######..#####.########.##.#######.##.#.#####.#..######...##.....##.##.#..#.#..###..##.######.######.##.###.#.......#.##..#.##.##.###...##..#.##.#..##...####...#..##.#......####.##.....##.#.####..#..........##.###.#####...###......#######.#.##..#.##.####.####.....##...###.###....########.#.#.#.##.#.#...##.##..##.#.##..........##.....##.#...###.#..#.###.##....##.#..#.#...##.#.###.#.#...##.#.#####.##...##.#.##....#.#..###.#.##..####...#.#.#.#.#.##.#.#.#..#
#####.#.######.##.#.##.#..#.#.######.##.##.#.#######.##.####...####...##..###.#.#.######.#...##..####.###..##########.##.....#.##..##..#.......#.########.##.#.##...##.#..###########...##...................######...#.#####.#.###.##.###.##.#..###.###.###.#......##..####...........##.#######.#.#.##.#......##.#.#.#.##.####.###.#.###....##.#.#.##..######.#.#.########.####.#.#.##.....#...###...####..########..#.#...#..############.....##.###.###.....####.#.#.##.....#.###....##.#.......#......###.#.###.####...#.#.###.#...##.....#..#.#.......###.#...#....#.#.##.#####.#.##.###.##.....#.####.....##..##.#######....##...........###.###.#......####.###.###.#.###.####.#...##..##.##..#.#.#.###.#########.##....####..###.#.#.####..##.##..#####.#..#.#.#...#.###.###..#.#####.###.##..##.#..#.#.#.#......####..##.#..#..##########.#####.###.###.#.#.##.....#######.#..##.....####.#.##..#.###.......##....#.####.#..####...#.###.....##..#.#.###.#.....#.#......##.#
##.######...####.....#...##.#..###.###...........#....#.##.##.##....###..##........#.##....#####.#.....###.#..#.....######.#.#####.###.#######.....##.##..##.######.##.##.#.##...##...#.#############.######...######...##.#.....##.#..#####....##.#.#....#########....##....#.#.#.#.#..#.##......#####..######........###...###...###.######..#########.#......#.######.###################.##.##.##.##.###.#.#....####.###...####.##.......##.#####.......#.####...########.#.......##.####.#.#.#.#.##.#..##.#.#.#.#.#..###...#.#.##.#######.##########.#.#.....###.##.###.####...............###.#...##.#####.#..##....#.....##.###.########......##.######.#..#.##...#....##...##..#.#####.######.#....................##.####.##.......###.###.....#.###......####...#...#.....##.###.##..#.#.###.#..##...#.#.######..#.##..#.##.#.##..........#.#...#.#.#.#.#.#..###.###..##.....##..#####.#.....##....#..#.########.##....#.##..###.#.#...###.#####......##...#####.######.#..#
#......####.#.######.###.##.##.......####.#.#.##.####.#........##.#...##..########.#.#####.#.#.#.###.#.#.#.##.###.######.###..##.#.#.#.##......###.....##.#####.#...##.##.#.#..#.######.#.........########.##.##...###.##....#.#......##..####.##..#.##.#....###.###.#######.#####.#.#.##.####.#.###....##......#.####..####.....#..####..#.#.##....##.######.#.####.............##..#..####.#..#......#.#.#.#.#.######..#####.##.#.####.########.########.##.#..###..#.#.....##.#######.#.############..##.##.........##..####......#..#.#.####...#.#.####.#.#.#.######.##..#.########.##.#.##..######....#.....##..####.####.##....###.#......##.#.##.###.#..#.##..###.####.##.#..##.####.#..#.#.#..###################.###..##...######.###..#...########..####.#.#..#.###.#####..#..##.#..##...#...#.##..#...#.#.#.###.#.###.#.#.....##########.....###.#.........##...#.##..#####..##.###.#.##.########...######.##...##.####.##.##.###.#.###...##..######..##.####...#.#....#.##
####.#...................##..#####.###.########.......###.####.#####.##..##.##.#.....#.#..........##.#............#.#.#...#..##....#.#.#####.###...###....#.##....#.........####.#.#.########.###.#.........#.####..##.#####.####.###..##.#.##.###......##.###....#...##.....##....#.#.####.######...##########.#.#....##.#########...###...#####.#.......#######....#.#########.###.##.#....##...####.............##.#.##..##.##.#.#.####....##.......#########.#...##.############.#.#.#.#.#..##.#.##.###..#######.####.##..##.###...##.....####.#.#..#######.#.#.##....##.#..........#..#####.#.#.###.#...#.#....##.#.......#####.###...#.##.#..#..#.#.....##.##.##...###..####.##...##..##...#.##.##.#.##.#.##.........#..#####........#.##...#..#..##.####......#.####.#.#.#.##.#.##..##..###.###...#######...#..........##.#.#####...##.#.#.#####..##.##.#.#.##..###.#.##.###..#.##......#.#....#.##.###.#.#..#..###..#.##.#.#..##.##..#...##.##..##.##.##.....#.##.##.####....#
##.#######.###.##.#.####.#..##.....#.#.#.#.#.########.....###...##.#.###....##.##.##...#########.#######.##.#.#.#.....###.##.#####...#.#..#######.##.####.#..##############..##........##.######..######.##.#...###....#...###########.........#...######..#.##.#...#.#..###.#..##.###..###...#.####..###.#.########.#.##.#.#.#.####.##.#.#..############......###.##########.....#.....#.##....###....#.######.####..#..##.#..##.#.#.#.#####.#..##.##.#.##.##.#.###..#.##.#.##.##.#.....#.....##.....###.##......##.###...#.##..####.#######....#.#.#.##.##.##.###....#.##########.#.#.#.###.........########.##.#....#.####.##.........#.#.##.#.###...#####.##.#...#.#...##...##.##.#####..###...........#.......#.##.##...##.#.########.#..#.####.#.##..#.#######.###.#....#........###..##..#...####...##.####.######.##.##..#..#....####.#.#..###..##..##########..##.#.##...##.#..##.#####.##.###.##.....#.##.#.##.##.#..#.#...###.###.#.###..###..#.#..##.##.##.##.##.#..#.####
#...##.#####...####.#......#######.....#..............#####...#..#...#.#.####...######.##.###.....#.#.###############.##...#.#.#.###.#.#.##.##.#####.##.#.##.#.#.#.#.#.#.#..#####.#.##....#.##...##.##.###....###.##.#...#..##.#.#..############.###.#.###.#....##.#########.##.##.#...##.###.#.#.#####.......##.#.###...........##..##.####..##.#........##.#.....#........#####...#.#...###.#######.######.....#.##.#.##....###.#.....#.#.#.#.######.#.#.......#.##...##....#....#####.###.########..##.#..####......###...#####.....#.##.####...#.#........#####.#.#####.....#####.#.###.####.####.#.#.#.#########.####.#######.###.###.#.##.###.###.##.....#.##.######....#.....#.##..#.##.#.#.##.#.##...##.#.##########.##...##.##.#....#####.#....##...#.#.....##..##.#...#.#.#.##.#.##..##.###..##.##........#####.#...##.##.####..##......##.##..##.#..###...##....#..###.#..#.##..#.#.#.#....#..#####.#.##....#.#....##.##.###..#.#....###..##.##.##.##.#####.##.#..##....###
###..........#.#....#.##.#...#.#.#####.##.####.#.##.#.#..#######.###.......#..#..#........#.####.##.....#.#..#.##......###.#.#.#.##......##....#.#...#.........#...........##..####..####...####........###.#........##.###........##.#.#..###...#...........#.###.#.#.......#######.#.#..##........#.##.####.#....##..######.##.###.##..#.#.###.####.#########.##.########.......###.###.#...#.......#......###.#.##.#..####.##..#####.#.#.#...##.#.......###.#....###.#####.####.#.#...#.#....###.#.##....########.###...###.######.##.##...####.#.###.##.####....#####.#####.#.#######......####.........#.#..#.##.##...#...###.#...##..#.##.#........#####.#.##..###...########.#..##.#....#.#.##.######.##.#..##.........#.###...#.####..##.#.##.#.####.#.####.####.##.#########.##.#.#..###..###.##..#######.##...#####.##.#..##.##..######.#...#.###.#.##.##.##..##...##.#.##...###...#.#.##.###.###.......##.###...#.###.##.#.##.....####.#.###.##.#..##.#.##..##.#.#####.##.#
########.#.################.##.#.##.##....##...#.#..#.##..##.#.......#.#.#...###...#.#.##....##...#####...##....######............######..####.#.###.#.##.##.#...###.#####.###.#..####..###...#####.#.#.....#####.##..###.#####.##........##.##.###########.#####..#...#######....#######.#..#.#.##...#####.#.####.#..##.##...##........##.#.##..#.#####...##.###..#........###.#.##..##..#.#.#.##.########.##...#.##.#.##.##.##.##.......#.######...###.###...####........##.##.....###.#...####...#..##.###...###....###.#.#.#.#.#..##.##.#...#..#...###..#.#..##.#..#..##......#.##########.#..###.#.#.#...##.#.....###.###.#.###.#.###.#.##.###.####...#.#.#.##.##.######.........##..####.###.#####.######.##.####.#.#.#...#.###.#.#....##..#....###.##...#.#...#.#..###.##.#.#...#.#.#.##.##..#..##.##.#.....####.#####.##.#.##..##.###.....###.#.....#.##.##.#..#####......####.#...###.#.#...##.#.#######.##..###.##.##.....#.######.###..#.#.#.##.##.##.#..##.#.....##...##.#
#.#......####.#.##.#.#.#.....#.#.#.....##.#########.#####......#.#####.####.##.##.##.#####.#....#.....###..##.#..###...##.#.#.##.##.#.##.##.##.#.#...####.#..##.########.........##..##.#.##.##.##..####.##..##...#..###........#..#.##.#.....###.#.........#.#...###.##.......##.#.#.....##.########.#.#..........##.#.....###..#.#.##....#.###.#.#.#...#....############.##########.#..####.#.#..####.#...##.#....#.#..#.#...#.########.#.#....############.##....##.###.#...####.##.#.###..#.###.##.########...####.#.#.#.#.#.#.##.....#####.##.#.####..##.########...#######.##...#........##.....#####.#......#.#...........##..#..##.######.###.####.......##.##.#..##..##.####..##..##...####.#.....##.######.##########.#.##..#.####.###.##.#..##.####.#.###.#.#.###..#..#.##.##.#....#.###.##.#...#.#####.#.#..#.#...##.#..##.##...#.##.##.....###...##..#.#####.####.##.#.#..#.####..#.###..#.#.#..#..#.###..#...####.###.#.....##.....##.#.#........#.#.##..#.########.##.#
#.###.##.##.....#........#.#.......##.#####.#.#..########.####.#.##.....#.#.#......#######.###.######.##..######...########.####.##...#........#.###.##.###.######.##..###.###.#..##......#..#.....###.###..#####.##.#.###.#.#.###.#.#####.##.##..###########...#..##..######.##......#.#......##.......##.###.#.#..#####.#.####.###.#..##...#...#.#.########.#.#.##.......##.........#.##.#########......#.##.####.....##.###.#..##..###...####...##..##...###..#.#####...###.#.#...........##.#.#...........###......#.....#.#....#####..#.#.......##.##.##..##..#.###..#.##...####.########..##.#####.##.#.######.#.##.######....#####...##.#...#....#####.##..#.##.##..########...##..##..#..##..#####.....##.##.....#.##.#.#.###.#.##...#.#.####.##...#.............#.##.##.#.##.##.##.#.#.#.#.##.##.##.##.#..#.#.##.###.#..#.##..##.#####...#####.#...#.##.##.#.##..#..###....##.#.#..##.#.#.##.....##.##....##.##.####.###.#.#.#####..#.####...#.###.##.#.#.##.##.##..##......#
#.###.##.###.##...#####.####.#.##.##..##.#......##.##.##...##..#.##.##.##...#.#.#.##...##..#...#.......##..##..###..........###...###...#.##.#.....#.#..######.#......##.#..####.########.##.#######.......##..#..####.....#####...#.#.....#.....###.#####.#..#.#.#######.....#..#.#.##.##.#.#####.#.##....#...#.##....#..###....##..##.#..#...#.....................##.##.###.#.##.#####............#.##.#############..#.#.#...###.##.###....###.###.####.##..#####.#..#.....#...##.#.##.#.##...###.#.##############.##.#.##...##.#####.##.#####.#.##..#.#..####...###.##..###.#.#...##..#.##.#####.......####.....########.#..####.#.#####..###...##.#.....###...##.#..##.##.##..#..##.#..##.####.#.##..###.##.######.................###.#.#..##...###.##.########.#......#..#.##..#.##.###.#...#..##....##.##.....##..#..##....##....##.#..#.##.########.....#.#.###.##.##..#.##..#.#.###.#...###.####...###.###.....#.#.##........##..#####...#####...#......##.#.....####.#####
#......###.#.###.####....#####..#####.#....##.#..........#..####.##..######.###.#..###..##############.###..##.#####.##.#####.###.....#.#..####.##...#.##.##.#.##.###.##.####.#......##.......###....#########.####....###..##...#.#.###.#.##.##.##..........##.#..#.###..#.####.#####...######....#.###.#.#.###..####.#####..##..##.#..##.#.#.#.###.#.#######.##.##########...#..###.....#.##.#####.#..####.......#####.....##.##.#.#...##.##..#........#..#..####.#.#.###.##...#.####.#..#..###..####..#.##.#......#.####..###.#......#.##.#.#####..##.#...##.####.#...###.#.....###..##......#.##..#.#.#.##.##.#.####.##.#...##........#.##.#####.#....##.##.##.##..##..#.#...#####.##.##.####.#.....####...##.#.##.#######.#.#.#.##.##...#.#.##..####...#.####...########.##.#.###.#.##.##..###.##.#..#####..###.#..##.##.##.#######.###...####..#.##.....#.#.........##.#####..##...........###.#.##.###.##..##..#.###....########.###..##.###....####.##.#.####.#.#####.#...#.##
#.#.#.##.....#...##.###.##.....###....##.#.####.########.#.##....##.##.......##.####.##.#.#.###......#.#.#.###.#..########........###.####.#....#..#............#####.....##....#.##.####.#.#.....#.#####......###..#.####.##..#.#######.#..###.....#####.#.##..#.##.....##.##...##.##.#.#....######.#...#.####..##..........##..########..#.#####...####......##.###.###.#..#.##..###.#.################....###.#.....####.##.......###.######...######.##.####.#....#######..#.#.#.#####.##.....##.#..##.##.######.#..##..##.######.#....#.#....#..##....####..##....#..##.#####..###.###.#.#...#######.#.#..#######........#..####.##.##..#.#.######.#.#..#......##..##...##.####.#........##..##.#########..#.#.#..........#.#.###...###.#...###..##..###.#..###..##.................##..#.###..##.##..##.##..#..####........##.##...#.###...###.#.####.#.#.##.######.##.#.####.#######.###.####...##.#.#.###.##.######.####.#####..#.##.#..#.##.###.#######..#.......#.#.###....#
#.###..####.##.####.....###.##.##..#.###.#.#....#........#.#..#.##..##.###.###..#.....#.#.#.#...#.##.#...#.#.#.##.#...##.########.##....##.##.#######.#.######.####...#.#....######....#..#.##.#.##.#.....####.#.#.####.....#.####.......##.##..#.#.#.....#####.#.###.##.#..#..#.#.....######...###..#.#.#.#....##..#.#.#.##..####....#...####.....#.##.####.######.........######..##.#.#..........#.#.######...####.##.##.########..##..###.#########.....###..##.#.##.#.###.#.###.......######.##.#.###.##.#.##.....####.#...##.#######...####.##..#.#####.##.####.###.....##...##.....#######..#..#######.##.#.#.#.#.#.#######..####.###.#.#.#.##.######.##.#.#.###..###..#.#....########..##.#...###...###.......##.###.#.#.#######.....##.##.#.##..##.####..###.###.#.#.##.#.####.###.##...##.#...##.##..##.##..#.#.######.##..###.#.#...###.#.#.#.######.####.......#...#.....###..###....#.###.#..#.#...#.##.#.##...##.......##.#......##..#.#.#..##.####...#####.#.#...###.##
#####.##.....###....#.#.#...##..######...####.#####.####.#.#.#####.###########.###.##...#.#.#######....#.....#.##.###.#...........#..#.#####..#..##.#####..##.......######.#.##..###.#...##.#..#######.#.##......###.#####.########.#########..####.##.#.##.....#.#.#.##.###########.#.########.....####.#.##.#..######.#.#..##.#####...#.##...##.##.#....####......###.##.##.##.##################.......#.#..#####......#.#....##..##..##.#.##......#####.#.##.####..........#####.##.#.##......##.#.....##...######.#.##.###.#...##...###.#.#..###.#.#.##..##.#..####..###..###..####.##....###...##.###..........###.####....##.##.#.#..........#.#..##...#####.#.#.##.##...####..#####.#.###.###.#.##.##.##.#.##.##..##.#.###.....#####.#..#..#..##.##..#.##.#.......#.####.#.#........##.###..###.##..##.##.#..##.####.....###.....#.###.##......#.#..#####.###.####.###.#.###.#.##..####.##.##..##.#.###.#.#.......#.########.#..####.####.##.#.#.##.....###..##.###.#.####...#
#.....####.######.###.#####.##.##...##.####.####....##...######....##.#...##.##########......###.#..########.#.#........#.####.##.##.####....###.......###....#.###.####.#######.....###.##.##.##......#.###.###.##....##...##.#.#####.##.##..###...##.#.##.##.##.#...####.#.##.#.######.#......#.#.##...#.#..#.##...#..#.##.##..#....#.#.###.######.##.#..##..###.##...#..##.....###.#.##...############.#...####.##.#.#.....####..####.##.#..####.#..#.........#.#############...########..####.##.####.##..#...#......##.##..###....#####.#...##.#.#....##....##.##.#######.....##....#####...###.##...#.#######.###..##.####.#..#..#.####.#.###.#.##..##.##.........##.##.#.##.##.....#.#...#..##.#..#.##.#..####..####..#.#######..##.#.##.##.#.##...##.#.#..############.#.#####.##.#.##...##.#.#.#..###.#..##.##.##.#####.#.#####.#.##...######.....##..##.....#........###.#.#.##.##....#...##.##.........##.########.##...#.##.##.........#......##.#######....##..#.#.#..###
#.###..##..#....########....#..####.#..##...##.######..####.#.###.##..###.....#.#.#.########.#.#.##..###.##......#.#.#######.######...##..#.######.#.#.....#.##.#.###.#..####.###.##.#...##..#####.##.####.#####..####....#.#......#.......####.###..#.#..#.#..##.###.#.#.....#....##......######.#..###.###########...####...##...##.#.###...##.....#####..##..##.###.######.#.#........###................#.##......#.#####.##...##.##......##.#####...#.#####.#.....#.###.....#..#.###...####......#....#.####.###.##.##.###.#.####.###.#.###.#..#.###.######.#.......##.####.#..####..#.#..#........#####..##.......##..###..##.##......#####........##...######.##..#.#..#.....#####.#.#.#...##..#.##.#..####....##########.#.#.##...............##.###...##......#.#.##..####.#######.##.####.#.#.#.###..#.##..##.##.#........##...#..##.###.#####.#..#.######.###.#.###.##....#.#...##.#.##.###.########.####......##...###.#.#.....#########.#######...##....#####.##...#.####
##########.##.#.....###..#.#####.#..#######.....#.....###.....#....##...#####.#.#.#.................##......##.########..#..........#####.###.#.#########.##..###.....#.##.#..#.######.###########.##.##.......#.##.#..#.#######.#...#.##.##.##.#...####.##.##..#######.#.#.#...##..########......####.#####.....####.##.###.#####.####.#####.########.#.#.##..##..#...#......#.##.##.##.....#.#.###.#.########..#.######.###..###.##..#.####..#.#.#.#########.#.#####.#.....###.##...#.###.##...####.###.####.....####..##.#.#.#..###.#.#.#..##.##...##...##.##.###.###.##.#.#####..#.##...#.###.##.##..#.#..##..#.#.#.###...##.#.....######.....#.#.##..#####.##.#####.#.#.##.#.#.##......#####..##....#.#.##.#..#.##.......#..#......#.#.########.##...#..#.###.#.#........####..........##.#.#..........##....##..#.##...####.######.#.##..#.#...######.#..#.#####.#####....####.#.###..###.##.##...#..##.#.#.#..######..###.#.....#.#...#.#.###...##.#..#######...##..####...#..#
###..##.###########.#.######.....##.###...#####...#.#.#...###.######..#.......#.#.##.##.#.#.#.###.#.####.##.#..##.#.#.##.##.##.#.##.##.#..##......#.#.#...#..########.#.#..##.#..##.##.###.###.##..#...####.##........##..##.#...##.#####.#.......###....######.#...###.#######.###..########.#.#.#..#.###.###.#......##.....#......#####.#...#.#...##........####.##.###.#.######..########.#####...###........####...#......##...#..######..##...#.##..................##.####.#..#.......##.#.#....##...##..#.#..####.##.....##.#.#.......##.....#..###.##.##.#####..........#.##.#..###.############.#.##..##########.###.##.###.#..#.#.####.######..##.##......##.#...####.#.#.#####.#..#.###....####.#.##.##.#.########.##.##.###.##########......###.####.######.#####.##.##.####.##..#.#.#.######.######.####....##.##..#.##..##...###.#.##.##..#...##...#.##..##.#..##.#.##....###.##...#..###...###.#.#.#.##.#..##.#.#.####.####.###.#.#.#.###....##.##.#..#####..#.###.#.##
#.##..#..###.#.#.#.........#####..#.#.###.##..##.##.####.##........##########.#.#.#####.#.#.#.#...#.#....##.##.#............##.######....###.##.#.......#.##.##.........##..#.##.##..###.#.#....########..######.###.##..###...#.#..#.......##.##...##.#..##....###.#....#........##..........######...........#.####.##.#.#.#.#.#.##..#....###.###....##.##.##..####.##..####.....##........##.####.##..#############.##.#.#..###...##.##.##.####.#....#########.#.#.##.#..##.#######.#.##..########....##########.#.#...#####.#....#######..#.#####.##.#....##.....##########.#.#..##......#.#.#.###.#.#.###.#.#.##......##......###.##.#.#..###.#.###.##....##.#....###..#.#####.#.##..##.....####..#.#.#..#..#.###.#............#...##.........####.##..#.#...#.#######.......####.#####...#.###...#...##.##...##.##..#####....##..###.#.#...##..##.###..##.##.#..##..####.....####......###...##...#.#..............###......##..##....##.#.#.#.#.####.##.#..##.######.#.##..#..#
#..##.##.#.#.....#####.##.##.#.##.#.#.##..#..######..#.###########.#.#.#...#....#..##.#.#.###.###.#.#.#####.##.##.##.#.##.#.##.#......#.##.#################.##.#.#####..##.#.#..###.##....###.##.##.....##......#....##.#...###.##.#####.#..####.####.#.####.#.#.....##...#.##.###########.#####....#.##.#.##.#.#.....#####.#.#.#.###.#.##.#.....#.##.##.##.###..##...#####.#####.####.######....####..###......#.#.#.#######.#####.##.....#..##..#######.#.####.#.#.#..##.#..###.#.###..#####.#.#...##..##.##.#.#...###...#.#.####.#.##..#.####.##...#.#.##.#..#####.#.#.##.#.#.##..######........................#####.##..#.##..##.##.#.#.##..........############.....##..##......#########..##..##.....##.#####..##.#.#.#.#.#.#.#..###.#.###.#.....##.#.###....##.....#.###..##..##.##.#.....###...#.#..##.########..#.#..##.##.##.#.#.##.####.#...###..#..#.##.###.########....#####.######.####.#######.##.#######.####.###########..#.#.#.#.#...##.##.##..#.#.##...#..##...##
#.##...#.#.###.#..######.......#......###.##........##...............#.###.####...##....###....##.#.###......#########.##.###..##.#.#.#.#..##.##.....###.#.########.....##....##.#....####.#.#.##.######....##.#.#.#.#######.#...#####....##.##......#.#.#.#######.######.#####....######.####..####.#.#..#.#..#.##.#####.########.#......#######.############.##.######.....#......#######....##......##.######.#.#.#.#.#.#.#..........###...####.#.#.#..........######.#..##........##.###.#......#..##.........###.##..#.....###..#.###...#.#...###.#.#..####.##.#......#..#...###.#########.##.#######.########.#.#......######.........#.##.######.#..#...##..#######..#.#######.##......###.#..#####.###...##.##..################################.##.#.#.####.##########...####.......##.####.#.######.##..#.#...##.#...###.##.##.#.#.##.##.#.#.###.##.#.##..#.#.#.#........#####.##.##.###..##...##...#.#####.###...##..#..####.#...##.....#.#.####.##..##.#.#..###...##..####
#..###.#...##..##.....########.#####.##...#######.#.#####.#####.####...###..#...#....##.####.#.####.#####.#####..##.#..############.#.####.##.####.#.......##.#########.##.##......##..#.#.#...##....########..#.###.##......##.##...##.#..#.#..#.#.##.#.#.#.#.#.#####..#.#...######.......#.##.#.#..#.##############.........#.#..####.###.....#.##.##.###.##......##.#####...##.#.#..#....##..#########.#........#...........####.###.#...#............##.#####..##....##..####.###....##....#.#.##.####.#.####........###.##...##.#.#...#.....#.###...##..##..##.######.##.#.###...........######.##.##.##.......#...##.#.#.##.####.####.#..####.....##.##.####......###...#.#......#####.##.#.##.##..#.#.##.##...##.##.#.#.#.##....#...##.##............#.#.#.#...#.#.##.####...##########...##.......##...##...###....#####.#..#.##.....##.##...#..##....#..##.........#.####.#.##.....##.#.##.##.###..#.....##..#.##.####.#.##..#.###..##.####.#..#.#..##.##.#...##.##.####..#.#
#.####.###.#########.##.#.......#.#.....###.###.#####.############...###.##...#.#.##.#..#.#..#.#.#..#.#...###.##....####.##......##.#.#.....#..#######.###.##.#.#...........##.#.#.###.......#..###.##.#####..##.##..####.##.##.####..####.#.##.#.########.....#.##..##...###..##.#..##.##..........######.#.#####.####.#.#.#.....#######.#####..............##.###.##..####.#########.####.#..#####.#......####.#...##.#.####.##....########.#.##.#.#.#..####....###.########....#...#.#####.##.######.########..#.##.#..#######..#.....#.#####.###.###.##.####.##..#........#...##.#######.###.##.....##.#..#####.##.#######....#.#..#..#.#.###.#######......#.######.....#...#####.##.....#..#.##..##...#.#..###.##............####.###.#.....#.###.##.#.....#.###.....##..###.###.##....#..#..#####.####.#####.##.###.##..#....##..#####.##.####.##..##.#...#######.#.#####......######.#..#.#..##..#######.#####.#.#...##..#..##.#.#...###.##.#...##.##.##..#.#.###..#...#.##...#
#..#.#.#....#.##.....##.######.##...###..#..#.#.##.#....##.......#.#......##.##.###..##.#...##.#...##.###.#......##.####....##.#....#.#.###.##.#.##.####...##...###.#.##.#.##..#.###.##.##.####.#.#.##.#...##..#####.#.####...###.###......###..#.##..#.###.##...###.#########......########.##.#.#..##........#.#..#...#.#.##.##.#...#....##.#####.#.#.####..####..##.##....###.#.#.#..######.##..#...#.####....########.####..##.#.#........#.##.#########...##...#.###.##...#.####.#.#.....#..#......#......############....###...#.#.#####....#....#.##..##..###.###.#.##.###..###...#...#.#.###.##..########......##..###.##.#.#####......#..#.#.##..####.#.#.####.##.##.###..#...#####.##.#.###..###.#.##......#####.#.###.##.##.##..#.##################.#.#.#####.###.#.#.##..#####.####.##.....#.#.....##.##......##.####.###...##......#.#.##.###.###...#..##.###########.##..###.##.....####..#.##...##.##.#.#.#####...##....###.##...#...#.##.#..##.##.#..###.#.###..#.###
##.#.#.####.#..#####.##.##.#....########.##.#......####.##.#####.#####.##.##..###########.#.######.#......##.#.#.#.......#.##..##.#.######............#..#..###.#######..#####.###...##.#####.......##.###....###.##.#..##..####...#####.###########.##..#######.............######.#.##..##..######.#####.###.#.##.###.###..########.####..........#.#.#####.##.##.#...###.##.......#.##.##.#####.################.......#....###.#########.##.##.#....#.#..#..#.#####.#.########....####.#.###.#.#.##...####.###.##.#.#.#.##...##.####.##....##.####...##.####..##...######.####.##..#.###.#.#.#.#####..##.#..#.#.##.#..##.###....#.#.###.##.##.....######............####....##.##.##.....#..#.#.##..#.....##.#.#..#.######....#.##.###.######.##.##...........#.##.....#....#..##...##..###...#####.#.##.#####..######.#....##..####..######...#.#....#.####.##.######..#.#.###.##.##.#.#####.##.##.##..###..#.##.#.#..##.###..##.#.#....##.##.#.####.##.##.##.##..##.....#.##...#
#......##.#.#.##.#.#.#..##.####.#.##......#.##.######.#.####.##....#####.....##.....#.###.###.##...#.#.#.##..######.#.#.######.#..####.#.#####.#.##.#...###.#.#.#.##.######.....####....#.....#####........##.##..#####..####..##.##.....###.###.##...##.#.#.....##########.####..#.#..##....##......#.....#............##..##...#....##.######.#.###.###...#.#.......#############.##.##............###.....#..##..##.##.#.#.##...##.........###..##.#.....###.####.#..#.#.#...#####...##########.#.######.............#.######..###.....#.#.###......#....#.#..###.#...........#.#####.#..........#.###.#..#.##########.#...#..##...#.#.####.######.#.##.########.#####.###.###.....######.##.....###.#.###########.#.#.#.####.##.#....#..#......#..###.#######...######.####.#.#####..##.#...#.##..#.#.#..#.#.#.###.###.##.###..##..#.####.##.#.....######.##.##.#.##.##.........##.##.#.#.#.#.##.##....##...##.##.....##...#..##..#####.##...#.####.#.##.##.#...##..###.###..##.##
#.####......#.#....#.##....##......######.#.#...#.##....#.#..####.##.#...#.#..##.##...#...###....#.###########......#.#..##....######..........#.#..#.###.......#.#.......###.###..####.###.#####...##.##.#######..#####..####.##....#.#.#........###.#....###.#########.#...#.##.####....#.##########.#.#.#######.##.#.##.#####.####.........#########...#.....#####.#.#.##...#....#..#############...#####.##.#..######.#.#.##.#.##.####.#.##...##..#.###.#.###..#.##.#...###.#.....###.#.#.#.######.#....#.######.##....#.#...##############.#.##.###.##...##...#.#.#.#.###.#.....##....#.##.###.#.#.#.##.....#.##.##..###.#.#####.#.#.###...##....#.#..#.....##.##.........####.#..##.#.....###...#.#....##.##....#.#.........#.####.##.######.#.######.#######.#.###..........#.#..##....###.###.#.#.#.##.#....#..#...##.#.##.###.#.##.#..#.#.##.##..##..##.##.#.#..###.##.###.....................#.#####.##..##.#######.#.####..#.#..##.###..##....##.#..#.#####.##..#.#.##...#
####.######.#.##.#...#####.#######..##....#...###..####.#.##..##..#..###.#.#.###.####...###.##.######.#.#.#....##.#.####.####.##....######.##.#####.#.#...#.###.#.#######.###.####........#####.###.##########..##.#.#.##.#.##.#..###############..#..##.#...###.........###......##.##.###.#.###..#########........###.#####....#.#####.#.##...........##########......#..###.##.#...##.#.#.#.......#..#.##.#....###.#...#.#.####..#.#....#..############..#.####.#.#....###.....#####.#...#.#..##.#....#######.##..###.#...###..#.##.##..#.##.#############..#.#####.############.####.#####..##....#.#.######.#.##.#..##.....#.###.......##.######.#.##.##.##..############....####.##.##.#.######.....#####..####.#.#######.#....##.......##......#.##................#.#.#.#.##.##.#######....#......#.#..####.##.###.##.#.##..#.....#.#.######...#.####.##.##...#.##.#.##.#...##.#############.########.#.##.##..#...##..#..#.#.##.##.#...##.######.#....##..#.##..##...#..##.##
#.............######....#..#.#...#.######.#.######..##..#.###..##.#.###..#.###.###.########.##.#####........#.#####.######..#######.#......##################...............###....#.#.#.####.#.#.###.#.##.##..##....#.##.#.##.#######..##.###.###.#.#######...#########.########.##.#..#####.#.##.#.##.#.####.#.#.##...#.#.####...#.#...###..##.##.#.#####........#.##.#.##.#.######..........##.#.###......###.##.....###.#.#....#######.#.##.###.##.#.####.#.##.#.####.#.###########.###.....##..########......####.####.##.##......###.#.#..###....##.####....######......#.#....#.#####...######......#.#.#.#.#..##..##.##.#.....###.#..#.##.#............##..#.#..##..#####.##...##..#####...####.#..##.#.##..#.#..##.########.#..#.#.#..##.###......########.#.#.#.#######.....#.#.##..##.#...#.##...#.##.#..#...#..##.#.###.##.####....##.####...##...##.#..###.#..#######.##..#.....#.##.....#..#.#..#.##..##.#.#####...##...##......####...##.....##.#..##....##..###.###..#
####.#.######.#..######.##.#...#...##.#.........##.####.#.#.##....#.#.#.####...##...........####.#.#####.#.#####.####.#.###..##.....#.#.####.#.#.#.#.##.##.###.#.##########.#####.#########........##.#.#...##..####...#.........##..##................##.#..###.##.####.#.#.##......####.##.......#.#.........#.#.##.#.#....#.###.....#.#...##..##.###.....#.###.##.#.........#......#.#.####.##.#.#...####.....##.###.###.#.##.#.#..####.###...........#.#..#.#.......................##..###.###..##.##.##.###.#.....##.....#######..#......##.####.#.....####..#..#####.#.....##...###.#####.#.####.##.........##..##....#..###.#...#.##........##############.#.##.###..........#..#.###.####..#####.##.....##.....##...........#########....######.######.....#.###.#....######.#....#.######.#######.#..#.##.###.#.##.....#...#.##.##.###.....#.######....##..##...############.#####.#.###.##...##.##.#.#..##.....#.#..#####.##..######....#..##.#.##....######..##.......##.#
#....###.##.....##.####.##.#######..#.####.#######..##.......####.....########..##.########..##....##.####.#......##....#.##.######.########.#.#.#.#.#..##..########.#.###..#......#####....#.##.#......##.###.##..###.##.######.##.##########.#####.###....###..#.........#.#..####.#.##.##.#####...##.####.#.#.###########...#####.#.#.###..####..#...#####.#....####.######.####.#.#.#.#....#..#.###.##...##.##..#.....#.########.##.....###.##.#.#.#...##.....#####################..#####....##........#####.###.#..#####.#...#.##.###.##.....#.#.#####......##.##.###.####.#####.#.#.#.##.........#..#######....###########...###.#####.#########.#.####.#..........###.#.#.#####...##....###.#..#...#####.##.#.#..###########.#.#.#.#.##.#.#......#......#.#.#.##..##.#..........##....#.##..#.....#.##....#..##.#.######.###...##.#..#.###.#...#.#.#..######.#..###..##.#.#..###.#......#####.####....#.#.###.#####.#.##......##...######.##############..##..##....########.#
#######..######............#..##...##.##....###.#..####.####.###..##.###.#...##..####.##.#..######.#....#..#.####..####.......###.#..##..............##.###..............##.########.#...#.##########.####..#..##.##.#.#####...#....##...##.####......#..##.#.##.#####.#.#.....##.......#.#####.####..#####..#######.#.#.#####.#.#######.######.#..###.##.....###.###.######........###.####.#.##.###....###.#..##.###.#.####..#........#.###.#..###.#####.####.###......#####......####.###.###.##..#.####..##.......##.........#......#.###..###.#...##..######.##.##.#.###....#.##....#.#.##.##.#.##.##.##......##....#.#..##..###....##.#########............#.#.##.###...######....#..####.#.#.##.##.##..##.#######..###..#.###.........####.##.##.#######.###.#..########.##.##.#.#..##.#..##.#####.#.#####.#.##..#..##......###.##.#.##..######...#.##.###....##.#.#.##..#.##.##..#####.##.#.#.##.##.#.....#.#...###.#.######.###.###...##.#.#.##..#.#.###..#.######....##.#..#
#.##..##........##########.#.##..#.....###.##.#.##..#.####.#.#.####..#.#...#####..#.#.##.##...####.####.#######...##.###.####.#.#.##..###.###.######.##.#.##############.........#...#######.#.##.....##.##.#.##.......#.#.###.####.####.#....#######...##..#.#..#.##..####.#########.#....##.....###..##.########.#...............##....#..###...##.#######.######.#.#......#.##.#.##..#....###..#...##############.#.#...###.#####.####.##....####.##.#....###########.#...######.#.##..........#######.#.######.##..######.#####.#.#....#####.#.#.#..##..###...##..#.#.##..#.##....##.....#######.##.#..####.#.######.#.##.#..##...#.##..#.........###.##.#.#.#.###......#.##.#.####.##..#........#.#...#.##...##.##..##.##.....###.#.###.#.########.#.......##..#.####.##.##############..##.#..###......#......###.#.########..#...#.#..##..##.###.##.##.#.####.##.#.#..##.#.##..##.#.##...#.#.#.....#######.....#.#......##.#..#.#.#.##.##.......##.#.#..###....##.##.####..##.#
#.###....#########...#.##.......##.###...#.##...#..##.##.......#.###.....#..##.##...#.#.....###....###..###.#.###........###.......#.##.###########...................####.#####.###.#.#........#####.....#....###.#.#...#.#.#.##.....##.##.#..#.#.########.....##..#####.#####..#.#######.#####.##.#.###.#.##.#...###########.###....#.###.....#.##.#########..###.#.######.###..#..#####.#########.#####.##.#..###...#####.........#.....##.#.##...#....##......#.#.##...###.#....#.#..###.####.###.#...#.##..######.#......###.#.######...#...#.###.####.#.###..#.##.#.###########.###.##...##.##..#.#.##.#######............##..#######.####.#.#.##...##.#.#.#.#...###.##.#.......#####...#.#.##.#.###.#..##.##...##.##..#####.#.######....#.#.##.######.####..##.#.....#.#########..####......##.######.####.#...........##.##.###...##.###.##.....#..##...##...##.#.#.##..#..##.......###.....#.#####.....#.########.#.###..##.#.#.#.....##.#######.#...##.#.####........##..#.#
#...######.....##..#......#.###.#..#...#....###...###..#######.#.#.####.###.##.####...#####..#####...##...#.......#.#.####.#######.#.##.##...##.....#.##.##.#########..##..#.....###.#.####.#.#####...###.#.##..########...#....#####.##..####......#.##.##.#.#..##.###...###.##.....##.#..#..#.....#.##....##.###.#....#.##....###.#.#.#...##.##.##...##..####........##....##..##.###....##....#.#.#.....#..##.#.#.###...#######.#.#.#.#.##.#.#..#########.####......###.#.#.####.#.######.#..#.#.#.###.#.###..########.#.###.#.#####.####.#.#....#...##..#.#...##....#...##....#.#.#...####.#.....######....#.#...######.###..#.#####.#...###.#####..##########.#####.############.##....#.#####..#..#..#.##..##.#..#....##..#.........####...#.##..#.....#....#########...#.##.##.##......###.##..............##.#.###.####..##.#.#.###..#.#..#####.##.##.######.##.#.#..##...#######.#.....###.#.#.#.#####.#.#..#.#.###..##.##....#.#.#####.....#....###.##.#..##..##.#######.#.#
##.##.#.######.######.#.#.########.#.#.####.....###.#.##.###.#.#.#...##.#.#.#..#..###..#....##.####.#####.#############......#.#.....##.####..##.#.##.##.##.##....####..####.###.#...#...####.###.##.##.#.#####..##.#.####...####......#.########.#.#.##.#######.#..#.###.#.#..###.#....##.##.#####.#..####..#.#.#.##.#...#..#.##.###.#####.#..#######....##.#..#.####.####.##..##..#...##..####...#######.##..........###....#.##.###.#.#..#########..###.####.######.#...#.#.#....#.#.#..####.................##.##.#.#######.#.##.....##..######.###.###...###.#..##.#.#######.#...#.###......#.###.#.#####.#...###......#...##.#..#..##.##.#..##...##.....#.##.#......#.##.#.......##.#.#.##.###.##.##.#..##..####.####..##.###.#####......###..##...##.#################.#.#...#..######################.######.###....#.##.#....#.#.##.#.#.###.....#.##.#..##...#.#.##.####.#..#.########.#.....#.#.##....#.#.##.#..###..#..####.#.#..#..##.####.##.##..##...###.##..#.##.#....#
#...#.#...##...#.##.#####.##..##.#####.#..####.##.#.#.#..#.......###.####.....##.#####.####..#.#.##.#.##..#.##.#..##..#.##.#...#####.....##..#######...##########......##.####...###.###.#.#....#.##.#.....####.##..#.#.####..#.#.##.#....#.#.#.###...##..#####..##.#.##......##.#.#.##.........##....##..##.#.#.#.######...##.#......#.....#.##.##.#####.##.#######......###..####.###.###.###..#..#.##......##.##.#######.#....#############......##.................###.#.#.####.#.#.##...###.#######.###.##.##..#.#............#.#.#.###.##......##.#.##.##.#.#.#####..#.#....##########.#.#####......##.#.###.#...##.#.#.#######.#.###.#....############....#.#.####...#..######.#######.#.........#..#.####..##...###.###.##..#.....####.#.#.###.####.##.###.##.#.........###.#.##.#...##.##.#...#.#########.#######.##.##...##.....##...#.#.#####....#.#.##..#.#...##.#..#.##.#.#.#.#..#######.#.#.#####...#.##.##..###...##.#....#.##.##...##...#####..###.#.#####.#..#.##.###
#.#.....####.#......##.######.#...##...##......#....#.##.#######.#.#..##..#.#.##.##.#...####.#.#.#....###.#.##.#.##..#####.###.#.#.#####.###.#.######.####...#..######....#.#..#.....#.#.#.##.#....#######..##..###.#....####...#########.#...#..#..#..##.#.#.##.#....#######.##.##############.#####..##..........#.#....#######.#.#.#.#####.#............#.###.#...##.#.....##....#...#...#...###....######.##.##.#..#..######.##..##.####.######..########.#.#.##.#.....#.#.#.#......#..###.######....#...##....##.############.#####.#.#.#######.#........#.#.#.##.##.##.####.#.##.##..###.#.....####.#........##.##..###.###.............##.##.#.#.##..##.#.#.###.####.##..........##.##.#########.##.#..#.##....###.....#.#########.#........#.#.##.###......##.#########.#........###.#..##.###.#.#..###.....##........#########.######.#...###...#.##.#.#####.###.##.##.#.##...#.#.##.###...........#...#...##.##.##.#.###..####.#.##..##.##..#..#.#..##......##...#.##.#..#.#
#.####.##....##.#.#.##.#.##.....#..##.####.#.#...##......#.###.......########.......#.###.#........##.....#.##....##..##.####......##........#.#.#.#..#..###.##........##...#.###.##.......#####.#.##.##.##..#.##.#.####.#.##.#####.##..#.#.#.##.#.###.#...........####.#...#.##..#.##......##..#.#.#.##..########.#.###.######.##########....####.#####.#.........#.#..#.###..#.#.##.#.#.#.##.##.##.#........##.##.##...###.#....##.##..#.#..#.#...##...######.########.#.....#.######.#.###...#.....######..##.#.....#.#...#.##...###................###.##.#.#.#..#.##.##.##.........#.####.##.##.#......#.#.##.#..###.#.....####.#.####.#.#..#.......##.####.####...#......#######.##.....#....#....##.#.##.#####...#####....#.#...###########.#.###..##..##.#..#.#.###.#.#...######.#.#.##.##.........##.####.##########.#.#.##.##...#.#..#.###.##.##.##.....##...##.##.#.....###.#.#......#####.#.###.#######.##.##.##.....##.#.......#.##...##.####.##..###.#######...#..##.#.#
###.##..######..#.#.#....#..##.###.##.#....#.#.######.##.....###.#.#..#.##.#..#.###.....#.###.###.##..###....#.##.###....##.######..#.#.#.##.......#####.#.#.######.#.#####.###.##########.#..####.#........##..#....#...#.#..#.#.#.###.....#....###.#.#.#.##.###.##.#..###.#..##.#..######.###.#.#....#####.........###.#..##.....#.#.##..#.#######.#...##.######.###.##.#...#############.#..#.....##.####.##..##.#..#.....###.##...#.##.##.....#..#.###..###.#####.######.#....#..#..#.#.###.#.###.####...##..##.##...#.#......#..#..##.####.#.###.###..#....#...##.##.#..#####.#.##....#.####.##.#.##.#.###..####.#.####.#.##.#######...#########.##.##.#.##..##..#.#########.......#####.####.####.......#.#.....#.#.#.##.###.###...##........#.####.#########.#.#.#.#.....########........#######.##.....#...#.#.#.#....#...##..###.#.##....##.####..######.####.#..##.####.##.#...##.#.#.......#.#....####...##.#..##.#####..###.#.#.#..##.##...##..#..##...####..#.#...##....#
##.....##..##..####...##...#####.#.#..##.#####.#......#..#.#..#######.#.##.##.#####.#.#....#..##...#######.######..####.##...#.###.##########.#.##..##.#.....#...#######....##..##.##........##.##.########..##.####.###.#...##......###.##.##.#.###.....######...##.##.#.#.##.#..#.##.##.........###.####.########.##.####..#####.....#..##.#.......#.#.#########.#####..#.#....##.##.#.#########.#.####.....#.##..####.###.#.#..###.#.##..########...#.#.##.###.##......#######.##.##.#.#.##..###...#..#############.#######.#####...##..##...###...#.#######...####..#.##.#...#########.#.##...#..#.########.##..###.##.######.#.##....#.#..##.###.#..#....###.#..##...........#.#.#..#.##.##........#.###...#.##.####.#.##.##..#.##.####.#.###.#.#.#...#######....#...##.##.##.......#.#.##..##.#.###..###.#.#...#.#.####.#.#####..##.#.#..####..#.#..##.#.#...##..##.#..##.#.#..###.######.####.#######.#..###.##...##...##.#.##.#.######.##..##.####.##..#.###..##...#######.###
#..###.##.##..##.###.#####.##........##...##...###.#.###.#.##.#.#.#.#.#.#...###...#####.##...#######.#..#....##...##.....###.#.#.....##..##.#######......#.#...#...##..####..##.#...##.#.###.##.##.##.##.###.#...##......##.#######.##.#########...#########.####.##.........#.##.#.##.##########.#.#.##.#..#..........###..##.#.#####...###########...###.#.......#.....#########.........#.##.######....##.########....#.......##.#....#.##..###.###...#.##.##...######...#...........#.#..##.########.#.##..##......#.##.######.#.#.##.#############.......###....##...##.#.####.#.#.##.#..##.#####.#........###.##.......###.......##.####..#.#.####.####.......####.###.#.#.##.#.##...######.##.######...#####..#.#..#..#..##...##...######.......##.##..##...##.###..#########.###.#.#####......##..####.#.###.....###.....##.##.##...##.##.##.#.##..#.#.###..##..#.##.##.#.#.##.#..##.#########.#.#.....###..##.#####.##....##....#.##...##.##..##..#..##...#.#####.###.##..#.#
##.#......###.#......#.....####.##.#.####..##.##...#.##..#.#..........#.###..####.##.#..#..#..#.#....##...##..###..#####.....#.#.#######.##.#..##.###.#.##.##.####..##.#..##.##.###.#..#####.......#......##.###.#######....##..#.#.##..#.######.#..#.####...#.#...#########........##..###...........##.##.###.######.#.##..#.#.#..######..##....###.##...###.##.###.#.##...##.########.#........#..####.#...###.#########.####..#.####.#.##.##.#.....#...##....#...######...###.#.#.#.....##..#.#.##.#.#..##..######.............#########......#.#########..###.####.###..#..##...........######.##.##########.#..#.####.##.######.##..##.##...#..#........#.##.##....#...###.####..##.##...#########.####...##..##.##.##.#.####.##..###.#.########.##..#.########.#.#.##..##.######..#####.#####.######....#########.#.####.###.##..###..#.##.##.#.#..##.#.##..##..##.##.##.#.#.##.#.##...##....##.#.#####.#.##.##....##..####..###.##..#.#.##.##.####.#.#####.#...###......##...#
#####.#.#..#######.####.#.##.#...###.#....######.#######.#.##.#.##.##....###...........##.#####.####.###.####.#.##.#.....#.#.....##.##.#..#.##..#.#####.#...###.###......##.....#.#.##.##..###.###.#.#.##....###.#.#.#...##..##.#....##.#.#.##.####.#....###.#.##.##.##.#....#.###.###.##...#########.#..##...###........###.....##..#.....######...######......###...#.#..#........#..##########.#.##.#####.##...#.#.##..#######.....##.#.#.....#########.##.#.##.#........#.#####.#.##.##.##.##...#....##..##.#..###.####.#.###.######.#.######.#.#.###.####..#...#.#...##.#.###########.###..#....####.###.....#.####.....#..#..####..##..####.##.#####.####.##.#..##.#.#.#####.######.##.###.#.##....#.#..#####..#.##.#..#.#.##....##.#....#.#.#.#..##.#..##..#........##.##.#.##.#.####.#.#.###...#..####..##.#.....#..#.#.##...##..###...##.#....#.##.....#.####.##.#.......#.##.#..#.#..###.##..#.#.#...#.##.#..######..##..##.#.#..####.##.##.#.##.#.##..#.#.###...#.####..#.#
#.....####.#.##..#.#....#.#....#.#...#.##.##.#.####.#.#################.##.##############.##....#.##.#...#.#..#.##...########.##.##.#..##.#..##.#....####.###.......####..#####...#.##.###.....###.#########...#.#.#.#######....####.##...#.##.##.#.###.##.#......##..#.####.###....#..######.....##..##.####.##########...####.####...#.#..#.##..#....#####.#.##...###############.#.##...###...........#...#..#......##.##......#.#......#####.#.####.....##########.##.#####.##..######..##.####...##..#.##..##...#.#....###......#.#......###............##.#.#...##.##..#..##.##........##.####..##......#.#.....######.##.#.##.#######...#.....##.#######.####.##..#####.......###......#..#.###.#.....##..###.#.##...##.#..####.##.####.......#.##..##..##.#######.##..##.#.##.###........#.###.#.###.##.##.#####.##.....###.##..##.###.#..####.#.######....##..#..#######.#.##.#.#####.#....##.#...###.#....#.##.#.###..#.##..#.#.##.#..##....#.##....##.#.#.#.##.####.###.###
#.##.##.......##.####.###.#.#.####.#.###..##..........#.#.##.####........#..######.##.#.#######......#####.##...###.###..##.###.......###.##.#....####.####.######.###.##..##.###....#...##.#.##.#.##.#.######.....#....##.##.#.......###.........#.#.#.##.#.##.#..##...#.#########.##.#..##..###.###.#...##....###.#.####.#.#..##...#.#.##....#######.#.#...#.#..#.#...........###...####.#.###.#.#####...#.#.###.#.#.....###.##.#.##.###............#####..#.#.###...#..##.#.....##..####.##.#.#..#####.#.###..###.###########.#.#.....##.#...#.##.#######.##.###.####..##.#.##..#..##.###.#...#.##..############.###.##.........#.#.#...#.#...#.#............#....#..##..########...######.##...#.#####.#..##.#.#.#.####..#.##.#.#..##.#..#####.#....##.###.#..#.##.....##...........######.#.......#.#...........###..#####.....##.##..#.#.##.##........#####.####.#.####..............##..###.##....#.......##......#.#.#.##..##.#.#..#.#.######...####.###........#.#.##..#...##
##########.##.....#.###...#######..#.##..####.####.##.#.#.#...#.########...##.........#.##.##.####.#..#.#.....###.####..###.#########..#...#...##..##..#.#..##.#.###.#.###......###.###########.........#......###.####.##.#..#######.#.#########...#......#######..###.#.#.##.#.......##..#.###...#..#.#####.###.#.#.#......##.##.###########.#.#.#.......####################.#.###.#.#....##..#..##.##########..#.#####.#.############..#.#.##.#.#....###.#...#.########....##.####.#...........###.#.....###.#.#.##.#.###.#..#.############...##.#...........#...##..###.#..##.##.#..#...##.##..#.###.####.#.##.##..##########.....###.#####.###.###.#.#.##.##.########.#.....####........####.#..##...##..#.#.#.#..####.#.#..#.#.##..##.......###.##...#..##......#.#....###.####.##.##.#########.....#.##.###.##...###....###.#...##.#.#.#..######.####.....#.#.....#.####.#.###.#######......################.#####...#..#.##..#...##.#.#.##.###.#.##.##..########...###...#..#
##.##......#..###...########.#.#..##.#..###...#....#....#.###...##.#.##..#..#########...#.......#####.#...###..#..##.##.#.#.#.###...##.###.#####..####.#.##.#.....#....#.#.###.##.....###.###...####.##.########........#..#####.##.#.#.#.##.##.###.#.####.###.###.##.#.#.#.##.###.#.#..##.####..#.##.#.#.##..#.......######.#...####.#.#.###........########.#.##.#.#................#.###.##..###.#...#..####.#.##.#.....#.##.##.#.##.#########.######.#...###.#..#.##.#..#######.##.####.#.##.###.....###.#.#......#.#...#.#######.#.#.##.#..#.###########.##...#..##.....#.##..#####.###..#..##.#.#........#.......##.##.#.#.#####.##...##...##..##..############.###.#.#####.#.#####.###.#.##.#.#####..##...#.....##....#.##........####.########..###.##....####.#########..####.##.#...#....#####.########...####.#...####.#...###....#.##..##..#..#######.#.####.##.#.####.#...#.##..######.#.#.#.###..##........###...##.###.#.###......##.##..#.#...##.......##.###.#.###.##
#.....#.#.###.#...#....###.......##..#.##...#.#######.#.......#......#..###...#.#.#.###.#######.#.#...########.#.##..#........#.###.##.###...####.#.##....#.#####.####.#.###.#.####.###.#.#.###.##...#....#########.###...##.#............#...#.##..#.#..#.#.#..#...#.#...#.##.########.##.##...##.........##.####.##......#...#..#...#.#.#.#.#.#######..##.#....#.#.################....##..##########.#.##.#..######.###...............##...#.###........#.###.##.#.##.######.#......#....###..##..######......####...###.#..................####.#.###......##.###....#.#....##...#.###.##.##.##.#.########...###.####.#.......##.#.####.###.######..##..##.##.##............#.#...#.###.#......#..##.#######.#.#.#..####...###.#######.####..#.....###...##.#.##...##.#....#.##.....#.###.####....#####.##.####.#.##.#####....##.##.####.#.#..####.#.##.###.#.#.#.#...#.#.#..#.###....##.##.##....#...#.##..####.#########.#...##.#.######.###...##...##.##..#.######..#......####
#.#.###.#..####.#.####.#.###.##.######.##.#.#.##..#...#.#####.###.##...##.###...........##....#.#.##.##..#.......###.######.#..........#.###.#.#..#.#####.#.#.#.....#....##.....##..#.#.#...#....##.###.#...........#...#......###.#.####.#.#....##.####.#.#.##...#...#.#.#..#.#.####.#.##....###########.##..############.##.###.###.#.#.#.#######...##....###.##.#....#.#..#.###....##....##.#.####...#.##.##.##..#####..#.##.#.#.#.##.##.#....###########.#.........#.#.##.#.#.##.#.####.##..#######.....##.#.#....#.......#.######.###.##.##.##.......#########.##.#.###.#.####.##..#.....##.##.#...#.#.#######...##..#####.#....#.#.#......#...#######.##.#...##.#####.###.#.###.#..#....##.#...##...##.....#####.##....#..#....##....#..##.####.##.##.############..####.######.#.....#.#.#####...##............#.....#####..#.##.##.....##...##...##.#.#.#.#...#.###.#.#.####.#.#####.##.#####.###.#..##.#.#......#.#...###....#.#.#.#....#.#.##.#....#..######..##...#######.#
###.#...####.####.##.......#.####.#..#.#..#######.###########.##..#..#.##..####.##.####..####.#...##..##.#######.#........#####.######....#..#.##.#.#..#........###.####....#.#..##.#.#.###.#.#.##########.#.####.########.###.#...######.####.#....##...#.#.#######.####.##...#.#.#.....######...#.##.......##..##.#.##.#.####...##..#.#...##.#..###..####.#.#.##.####.#.##...#.####..####.#.....#.###....#.##.###...#...##.##.#####.#.....####...#.#.##.#....##.##.#..........####.#......#####..#....#.#..###.#.#.#####.##.####.....#...#..#...#.#.########.#.#..##.#.##..#..#.#..##.####.##.....#.#.....#.###.##.###.###..######.#.#.#.#.#.####..##.....##.###.##########.......#.##.######..###..###.#####.###.#...####.##...########.#.##..##......##.#..#.#.##.###......##.#.#######.#.#.#.#.###.#..##########.###.###.####....#..###.#....######.#..#.#.#.###.#...#.#.#..##.....#.#......#.#........###.#.#.###.##.###...#.####...#.#.######.#######.##...##.##.##.###.###...#
#...###.##........##.##.##.###.#..#.##.######..................##.#.##.###...#######.###.##.#...#..#.##...###....########...#####....####.##......#.##.########.#....#####.##.##..............####.#.#.#...#####...##......###.#.###.......#.######..###.....#.###....##...##.##...####.##....###......#.###.##.##.....#.#.#.##.#..##.#.###.##.##...##......#.#.....###...####...##.######..####.##..##.##.#.#....#.#...#.#..##.##.#..#.#.#.##.###.#.#.#....#.############.####.##...#####.##.####.########.##...#.####....####..########.###.#.#...#.#..........##.######..###...##.#........#####.#######.#.#.#.....#..#...##............#########..#####.##.#...#.#.....########.......##.##.##.#.###.....#....#.##.##..####.#.#.##.#......#.#######.##..##........#.##.###......##............#.....##.#..........###.....#.#####.#.##.###.##..##.##.##.#......##...#.#.....#####.###.######.....#####.###....#...#.#..#.###.....###.##...#..##...##..##..###..#..#.##.#.#.#.##.##
#####...##.#.#.##########...#..##.#.####.##.############.#.##.##########.###.#.#.##......#....#.##....###.#.####.##.#.#.#.###.######.......######...##.....#.######.##.###.#..##.#.#.#.#####.####......###.#.....#####.#.#...###.#########.#.##.##..##.#####.#.#.####....#..#.####.##...####.##.##.##.#####...#.######...#.#..####......#.#....###.########.#.#####.#.###...####.#..#..#...##.#...##.#..#....####.###.#.#.#######..##########...#........####..##........####...#########..##................###.####.####.#..##.###.......######.#.#.##.#.#.###.##..########.#.###..##.#####.#.#...##.##.....#.#####.##.###.#####.##########.#.#..##..##.#.##.###.#.#####.#.#.#.#######.##..##.#....#.#####.####.#.....#.###.###.#..#.#####.##..#.#.......##########.#..###...####.#######.##.##.####.######.#.##.##.#...#.#....#....#.##.#######..#.#.....###.#######.######.##.##..#...###.##.#####.....#.####.#.######.#.#.##.####.#..##.##.#####..##.#..####.##.##........#.....#
##.#..#..#########.##.#####.##.#.....##...#.#.##.##.#.##########.##............#.#..##.#...#.########...#.#.##....#.#................#.###.##.#.##.#####.#...#.#.#...#.#.###################.#....##.#.....#.###.#################.........#.#..###.##.#.#...#....##..#####.#.#.......#............####.#.###.#.#..##..#.....###.##.#.#.#.###.##.#...###...............####.#....##.##.###......#......#####..#....###########.#..##.#.#.#.#..#...#.#.##.##...####.##.##..#...#.....##....####.#.#######.##.##...##...#.####.##..#.#.##.#.##.#.#..#.#.#..######...##.#.#.#.##.#...#.#######.#.#.###.##.######.#..###..##...#.#.....#......#.#...##..##..........##.....###.......#.#.....###.#####.#...........##.#####.#.##..##....##.......##.##.#####.#.#####.##.#.#.########.....##......####.#.##..##..########..###.####.#...##....#.#.....##...#####.##....##....##.##.....#..##.###....###.##..###...##......#.#.......#.....#.##.##....##.###..#.##..#.#.##....#.######.#####
#....##.###.#....#.#.........#.###.######.#.#.#.........#.#..#....##.#####.#.#.....##..##.##.##.......#......####.....###.#.####.##.####............#.######.....###.#.#.##.##.##..##.##...####.#######.#.##.#####.##.#.#.##...##..#.###.#.....##.#.##...###.####..#####....#.##########.######.##.#.#.....##.....#########.##.#..#####...##.......###.#.##.###.##.#.#........##.......#.######.#.#.####.####...##..####.##....##.##.#.......###.###########.##.#########...#.##.##....#.##....#.#........#..###.#..#....##..###.....##.###..#...##########.....#.#....#.#.##.###.....###...#.#.##..##.#....#.##.#.##.####.#.#######.####.#.#.#....##..####.#.#..#####.#.#######.#.#####......##.#######.####.##..##......##.##..#.#########.##.##.##....#..##.#.#.......#.#.######.##..#.#####.#.#..#.####.##.######.################.#...#.#.#..#.####..#..###.######.....#####.#.###.#####.##....####.##.####.###...#######...#####.......##.##..###....##.#.#.#..#######.##...####
##.#..###.#...##...######.##.......#...##.......#.#.#.#...##.####..###...#########.##.##..##..##.#.#####.##.###.###.#######################.#.#####.#..##....###..##.#.......#.#..##.....#..#.#..##.....###..#.....#..#....##.#############.##..#.#.####.##....###.#.#.#.##...###.#.##.#.##......###...#.#.#..###.#####.#.#.#....##.....##########..#..#.#..#############.#.#..###.#.#..........#####.........#.###.#.#...####.#.......#.#.#.#...#.#...#.....##......#....#.#.#...##.#.#############.##.######.####.####.###..##.###..######...#.#......#.#######.###.##.#......#.#####.#.#......##.##.####...........#.#.....##...#####......####....##########..##.....................#.##..#.......######.###..####.#..#.#..####.#.#......#.##.##.#####.##...###.#.#.....#..###.#########.....##...#.#..##..##.#....#...#.#####..####.#######...#..##.##.##..##.#.#.######....#...#.#.#....##.#.#.#.....#..###.##.##..##.###.###...##.#.##..###.....#####...#...####.#....#.###..#
#..####.....######........#####.##...#########.##########.....#.##..#..####.#.######...##.##########.....#...#.......##...###..###...#.#.####.#.....#.########.##.##...#.###...##.####.#.##.....##..#.#.####.##.##.##.####.##.##.##.#....######......##...####...#.#.#.###..#.#.#........#..#.####...###.#...##....##...#.#.##.#..###.#..##.....#..##.#####.#....######################.#######.##.###.##.#.#.###.#.#...#........#.#.#####.#.#.###...#...#.#.#######...##.#.#.##.#####.##..####.##.#.#..##......######...#.##..##########....###.#.####.#.#.#..........#.###.##....##.#.####.##.##..##.##.####.#.####.#.#####..##.###..###.#.##....##.##...##..##.#########.#.####.##.########.#######.##.........###.####...##.#.##.#.####.#....#.####.#.#..###.#.#.#######.#.##.#..###....###.#....###.##..#.##..####.###.#..#....####...##.##..#...##..##.##.##..#.....##.####.#.###.#.#.#######.#.#####...####.##.###..#.......##.###.#####.#.#####.#...###.#.###....###.##...##.#
##.#....######.#####.#.##.#......###.#.#..######.#.########.#....##.#.##.#........##.#.####.###......##.##.#...##.#.####.##...##.###.......######.#....##.##.........#########.....#.########.#..##.###.#..######...#.#.##..#.##....###.##.##.##.###....#......#...#.#.##..##.....#.#.#.#####.##...#...########.##..###.#...#####...#.##..#####.##..#....#######.#.#.#...#.#.#.#.##.##..#...#...#......#..#.#.#.......#######.#.##.#.##.#..#.###...#.#.#.#####.###...#..###.#..###.#....##....#......##.#######..#.#.###.#.###.##..###..####.#######..........####.###...#.######.##.....#####...##.##.##.###..###....#.#.#.##....#.##.....#.#######..#..#..##...........###############..#.......##.#.##########......#.###.......#.#.#.######.##..##....##.##......#######........##.###.##.####.#..##..##.#..##.#.#..#.#.##.#.#####.###.##..######..##.#......##...######......#.#.#.......#.##..#.#.....#..#.#.#...###.######.##..#.####.####.##..#...###.......###.##......###..#
#..####.####......#######.######.#.......##...#.....#.#.#.######......##.########..#####.#....###############.##..####...####..#.#.####.##...#.####.##.....##.##.#.#.##........#.#.#..#.#.....#.#########.###..####......##....####.##...........#...##.#.####.###........####.#.##.#.###.##..##.#.##.#####.#...#..##.#.###....####.#####..###...##.#.####.##.#....#.#.#...#.#.......#.####.########.#.##.########.##.#####...#.##.#.#..#.########.#.###...###...##.##.##...#.####.###.######.####.######....###...#.#............##.##.#..###.#.....#####.#########...#...##.#....#####..#.#..###..##.##.#.#########.#......#.##.#..####.####.####..###.##..###########...##.....#.#..##...##.##..#.#..#...##.#######.#.########.##.#.#.#.#.....##..####.....###.####.#.....##.#.#..#.#....#.#######..##.##...###.#.##.#.#.......##.#..#...##..###.#.###.######.####..##..####.#...#...#.#####.#..##...######.#.#...###...##.##..#..##..##...##...##.###...#####.###.#..###.####.##.#
##.#....#..######...#.#.###.##.#####.###.####.##.##.....#.##.....#.##.......######..#.#..#.##...##.##.##..#.#.##.##....#...#..##........#..#.....#..####.#.....###.#####.##.##.#.#...##.###.######.##..##.#.#.##.####.##..###.####..#####.#.##.#.###.#..####...##..#.##.#.#....#.##.####.....##..#.#####.#....#.##..#.#.##..####.....#####.#.###.##.#.#.#.....####.....###.#.#######.###.##....#.#...#######.#.#.######.#...#.#########...##.......###...###.###....##.##.#.#.#....#####...........###.#####.....#.....##.###.#.#....##.##.##..#.###.###.#####....##.#.###......##..##.##.#...##.##....##.#...##.##.....##.#.####.##..######........########..###.###..###.#..###...##....#.#..###...##.###.##...##.##......#.#.#.##.#.#.#.#.###....##.#####.########....#.#########.....#.##...#.#.##.#..####..#....#......#.###.#..##.###.##.##.#.#.......#.#...##..##..##..#####.#.######.##.##..#####........###...###.##.#..##.####....#..###.....####..##...#.#.#.##.....##.##.#
####.#.###.###..###...#.##.......##..##...###.#####.###...####.#.#######.##......#.##.##.#####.##...#....##....#######.###.##.############.#####...##....##.#.##....#.##############..#.###.##.#.#.###.#.......#.#....##.##...##.#.##.###.######.#...#.###...#.###.#..###.###.########.#####.#..####.#.#.####.#.###......##....#####..##.#.#..##....#.#.#####.##.#.##.##.....#.##...........##.#.#.####...........#..##...#.####.##.####.#######.#..####.##....####..#############...#####.#.#.#.###.#..##.####.##################.#..........####...#....##...##....#.##..#.######.##......#..#..##.####.#.###.....##.#####..#...#..##.##...########.##...##.....#.##...#.####.###..###########...#.........#.#.......####.#.#.#.#..#.....########.##.#..##.##.......#######..#.#.#####.#..###.#.#....##.#..##.####.#####.##.#...##.#......##......#######.#.###.###..##..##.........##.#.#.....##..#####.#.#.#.###.####..##.##.##.#.##.#######.##.#.##.###.####.....#..##.#.##..##.#
#.######.#...##...###......#.##.##..##..#.......#.#######.#.#..###..#..###..####.#..#.#...#.#...###.####..###.###.##.###......#..##....#.#####...#..####.#..######.##.#.##.##.#.#.###.#.#.#.#..#.......###.#.#.....####...###.#.......#.#####....##.####.#.#.#.#...##..##.#...##...#.#.#.#.######.#..#.#..##..###.##.#.#.#..#.##...##.#......######.#...#####.#..####..#####.#..####.#.#######.#.####.###.##.####.##.########........#.###.#.########.##..#.##.#....###.######.#####....#..#####.#.....##.....###.#####.##..##.#.############....########....######.########.####....###.#.###.#.###.##...#.#.####.######.###.###.##.##.#######.#..#...###.######.#..###.#.#.#......##.###.#.#########.#.#.#.#########.##.........##.#.#####....##..##.#.##...##.####.#.....##........#####.##....##.#....##.....#.#...#.########....######.#######.#.##.#....#....###....#########.###..#.###.#####.#..########...#..#.#.###.#...#...##....##.#..###.##......##..#####.###.####.##..#
#...##.....#....#..#..###.##.##....####.##.#.##....##...#.#.#######...########.#.#.##.###.#.##.##.#.##...##...#...#...##.####...######...##....#.##.#....##.#......#....##..#.#.......#.#.####.####.##..##.####.##.#....#...#.##.#.##....##...####..#......#.####.##..#######..###...#......##....##.#.##..##.##...#####.#.#######..#...####.#.#.##...###...#.##.##.####.##....##....###.#.##.....##..########........####.##.#.#.##.........#..#.#....#######.##.#.....#.#.#........##...##.....#####.######.##.........##.............#.#.###.##.##...#######.#...##.......#....##.#.#####.#...#.#.###.##.#..###.#........#.....##.#...#..##..##...#.###..........##.......####.#.#..#..........#....#.###.##.#.#.##..##.#.##.#....#.##..####.#..###.#.###.#####.########.#########.#.#.#.###.#########.######.#.###.#..##.##.####.##.##..#.#.#.....##.####.####.#...#####.#.#....#.#.##..##..##...#.##.#.#.####.#.##...#.#.###...#.#..####....###...###.##..#.###.##.#...##.#..##.#
###..#############...##...#..#..##.##...#..#.#####..###.....###...###..#..##........#.#.#............###..#######.#.#..###.#..###.##.###.#####.####.##.#.#..##.########.###.....#.#.#......##..#.####..##..##############.#......#####.#.#..#.#####.######.####....#.###.#.#####...#...#.##.#####....#....########.##.#......##.###.##.#####...#.#..#...###..........##...##.#######.#........#.#..#.##..##.#########.#.......#####..#######.##.#.####.##..#......#.#.#.#.....#.#########.##.#.###...#.#.......##.#.####....#.##.##.#.#.........#...###.###.#.#.###.#######.####.##.....#.##...#.........##...##.#.########.#####....#.#...####.######.#.########.#.########.##.###.##.####.#####.#########.....#.#.################....##..##..##.##.....##....##..##.......##.#.#.#.#.....#....##.#.#.#.#.........#....##.....###..#..###.#.#.###.#....#.#..###....###.##..#.####.#.#.##.###.#####....#.#.#.#.#..#.####.#.#.##..#####.###.#.####.###.##...##.#.#.#.#..#.####.##.##.#
#.#.##.##......##..############.##..##.##.##.#.....########...###.###.##.##..####.#.......##.#######..##.##.##..#.####.##..#.###..#..###.....###....##.####..####...#.......#.#.#.########..##.....###..##.#.#............##.#.#.#.....#...####.....##.....#....##.#.#.......#.#######.###.....##.##...##..#.##....#..####.###...#...####..###...####.###.#####.##.#....#.....##.########.#####.##....#.##..............#.#.#..#.#..##...............#..##...##.###.#.####.#.#####.........#.#.#...#...#.####.#######....#.#####.#..#.###.#####.##.##...............#...###########.###......#.##.######..##.##..#######........####.###.####....#.#.....#.##.#.###.#.........#.##.....#..#..###..#.#.#.#...#.#......####.#.#.##..###.#.##.####..#..#####..##.#####..###.###.#........#####...##.##.........#.#####.###.#######.#.##.##..##.#...#.######...##...###.##....##....###........##...#..###.##.#.#.#.##.....##.#....##..#.##.#.#.#..##..#.#..###.#..#...#.#.##..##........#
#.........##.#....###.#.##.##...##################.##.#..##.###.#.#.......##########.#########.#.#...##..##..##...##...###...#.##.##.#...################.#####.###.####.##.########.#####.##..#.#.....#####.##.######.##.#..#.####.######..##..#.###..##.###.#..#.######.##......#.#..##..#.#.##..##.####.#..####.##.##.#.#.###.###.##.##.....#..##....#.#.################.##..#.##.#.######..###.#......########.#.#.#.#.#.##...#######.#.#.#.###.#.#####.#..##..#.#....###.#...#.###.#.###########...##....#.#....#.####...#############........###.#.####.#.#.##.#....#.#.##.####..#.##.#.#..##.....##...##..##...########.##...##...#.####...#####.........#..#.#.#.#.#....#####.#.#####.##.#.#...#######.##.###..#......##.#.###.##.#####.#.##..##.##...##.##...#####.########..#....#.#.....###.##.##.#...#.#.#.##..##.......###..#.###.#.##.#.###..##.##....#.######.###.##.##.#######.#.###..##.#.#......#####..#.##.#..##......#...####.#.#.#######.#.###.#....#######.##.#
#.#.#.##.#####.##.#........######.#.#.##.#.##.#.#...#.##.##.#...#.###.#######.....####..###.#....#.#.###.##.#####..###..####......##.###.##.#..##.###.##..###............#..####.#............##.#.#.#..#.#...####.#.####.#######.#.#......######.##..###.##..#.##.##.###########...##########....###.#....#.##.......#.......##...#.##.######.##....####.#...##.##....##.##..##........##.....##...####.###........#.#.#.#####..#.##....###.#.###.#.....#...##..##.##########.###########.##..........#######.#.#############..#.###........#.####.##..####...###..######.#.#.#...#...#########.##..###.####.#..#####.#.#......####.####...##.###.#.#.##.######.##.##########.#.........#.#.#.#..#.###...#######..#.##.######.......#......##...#..##.....###.......###.....##.....##...#.####.#####...#...#####.#.#.#.###.#..#.###..###............#.#...##...####.#..#.#.#..#...#.#####.#.#.....#..##....######..#..##.#.##.##.##.####.#.######.#.#..#..##....##....####.##.####..#
###########....#..##.#.#.#...####......#.#......###.........###.#.#.#.#.###...##.##.###.....####...#.#.#.#...##...##.##.#.#######.#.........#.##....#.##.##.###.##.##.#.##.##.#....#.##.##.##.#########...##.##.......#.#.##....#.#.###.####.###..##.##....####.##.#.....##.#.....#...#####.##.#.##.####.#...###.##.#...###.#..###.#.#....####..##.#..##..###.#..##.##..#.###.#..#.####.########..####...####.#.###.#########...##..##.#.....#.#.....###.######.###.##..........###.#...#############.#####.##.....###.#.#..###.#.#.#######.##.#.......###.###.#...####......#.###...###......#########...##..#.#####......####.......#.#.###...........#.#..........#.#..##.######.####.#.#.#.##.......#.#.#.####.#.##.#.#.#####.##...###.#####.#.##..#.#####.#.#.#...####.######.##..#.###.#######..#.##.##............##.######.##.#.#.##.#.#####.#...#..#.###.#....##.#.##.#.#.....#.#.#.#####.##....####....#.##.##.....####.##...####.##.##....##.#.##..######.###.##..#..####.#
####.#.##.#########..#.#.###....######.....#.##.....###.#.#..#........#.#.######......#####......###...#.###..###.#.......#.#.#.#.########.##....##...##.#..########..###..#....####.##.##..###.###.#...#.##..####.##.....#..##.....##..#........##...###.###...#..#####......###.#.#..##......#.#..######.#..#########.#####.##...#.####....########....##.#.##..#####...#.#...##.#.......#.#######.#.###..#####....#.#.#....#.#########.########.#.#............###..########.....###.#.#.#...#.#.###..#...####.##.......##.#.............#####.##.#.#.....#.#.#.##.####.#....####...######.#.#.##....#..##.#...##..##.####...#.###.#.#...##.#######.#############.#.#.##.........#.............###.###..........#.##.#.#..#.#########.#.#.##..#.##.####.#.########.##.#....##....#.######...##..######..#########.#.#.......###.#....########.###.######.#..##.####..#.#....######.##...#.##.##.#####..#.####....#.####.#..##...#.###.#...#..###.##..#.###.#.#.##..##..##...##.#..#
#.#..#.#..###.#.#############.#....##..#.#.##########...####...####.#......#.#.######.#.#.####.#.#...#.#...##.......#.###.#.#......###..##.#######..#..#.##.#.....######..##.######..#..#..##....#..##.##..#.##.######.#.#######.##.###.##.####.####.####...##.#######...###.###..#.##....##.#####.##.#....##...##.#..###........#...#....#####.#.#.###.##..#.###.##..###...#.#.##########.#.#.#.#...#..###..#.#..#.##.....##.#.#...#.#.#####.#.#########.#.#.#.#...#.########..###.#.......###......###...#....#.#..##.##..#...##.#####.####.######.#.#####...######.#....#.##..##..#.##..........####.##......###########.###.###.....#.######.###.#.#.#......##.......##########.#.#.#.##.#.#.###########.###.#...##.#.##...#.##.###.......##......#.##....##..#.#..#.##.#######.####...###.##.##...###.#.#.......#######.###.....##..#.##.##.....#.##.#.#.###.#.##.##.####.####.#..#.###.#......##.#.##..#.###.##..#.####.###.##.##..#.###.###...##.#.#.#.#....##..#.###.####.##.#
#.##.#.##.#.......###.#.....###.##....##.###...###..#.####.###.#....######.#.......#...........#.#####.#.##########.###.......####.....###.#.##.#..###...##.#####.#.#....##..###....###.########...#######.#.##.#.#....###.###.###..#.#.#..#....#....##...######.###.#####...##..####..#.######.#.......#.#####.##.#.#######.#.#.###.####.##..#.#........##.#.#.#.##.##.##.####.#.#.##.###.#.#.#.###.#.##.##.....##.###.##..#.#.###......#.......##.#.##..#.###.#.#.###........##...#######.#.####.###.##.#####.....##..###...######.#.#####...#.#.#####.#.##.###.....##########....##..###.#.##.#..#.#########.#.#..##......##.###.#.#.....#.#........#.######..##.#.##............#####.#..#.#.##..#....####.#####.##.#....#........#####.#######.#...#..##..##.#.##.......##......#.###.#.#.#...###.....#.####.####.........#####.###...##.#..###.#........##....#..##.#.##.#.#....##..##.#####.###....##...#.#.###....##..#.#.##..##.#.#.#...##.##..#.#.#.#.##.###...#.#..##..##.#
#......##.#######.....#####.######.##.##..####.#.#.#####.......##.#.#........##.##.#######.#.#.######.....##..##.########.############.#.#.#.##.##...###.#...####.#.########.#...#.##...##.......#...##.##.#.##...######.....#.######.#.######.#####.####...#.##......######.#############........#####.###.............#.#..#####.#.##....##.#.#######.##..#.#.#.##.##.##.#.####..................#.###...####.#####...#..#########.#.#...###.#.........##.##..###.##..#.####.#..#...###.#.#.###..###..####....#.###..##.##.####.#.....#....#................##..#.#..#.##.#.##.##.#####...###..##....#.####.....#.#######.#####.#.#######.#.##.#.###....##.##.########.##.##########....##.#######.####.#.#...#.##.##.###.##.######.##.....##.##..###...######.....##.####..######.#.#.....#.###...#.#.#.#.##.#############.##.#####.#.####.#.####.######.#######.#.##..#.##.#.##.####.###.#.##....###.#####......#..######......#.##....#.#.###..###.#.#.#.#.####.###...#.####.#..#
####.#....#.#..######.#.....#......#...####........#.#...##.##.########.##.#..###......###.#######....#.#..##....#.##.....##......##..........#..##.####.##.##..#....#####################.#######.#.........####.#.#.######.#.#.#.##.#.####...#.......###.##....####....#.###.##.#.#.#.####.#.##.################.####.#.#.##.....#..###.###...##.......##.#.#.#.##.#.......#.###.##.#.#.########...###.#......#.########..##.##..#######..##.###.#.###..#####..#####.##############...........##.#.##.#....#.##.##..##...#.#......#.#...##.#.#.####.##.##.#..#.#####...........#...##.##.##...######.#......###.#..#.##...##.#..####.###....######...##.......##.#.##..#####.#.......##.#####.#.#..#.#......#...##.........####......#####.##..####.###.##.#.#####.##.#....###.....#.#####.#.#.##.########.#..........#......#.#.##.....##..###......#.#...##..#.....##.#.#........##....#.#..####.#.#....#######...###.#.####.#....#.####.#...##.#.#.#.#.....#.#....##.##...##.#.##
##...####...##.#...##.#.###.#.##########....####.#.....#.####...##.......###.#########.....##......#.##.##..##.#......###.#####.#....########.#.######.#.##..##...##.#...##.#..##.#.#.##.####......#.#.#.#.#...#.......##........#.##.###..##.###.##.###....######....##....##....#.......#########........#.......#....#.#####.##.##.#.#...###..######.##.............#.##.##.#.#..########..#..#.###.######.#.#.#.#.##.####..###.##.#.#..##..##..#.#...##...##..##.######...#.###...###.#.#.#......#..########...##.#..#...#.#.#.####.#.##.#.###....#...###.##..##.##.#.##.##.####.#.....##.#.#......########.#...##.####..#.##.##.......##.#.#.#########.#.#.......####.#.#...#.###..###.#.#.#.##.#.####.#####.#########.####..###.##.##.....##.#..##...#.#.#.#.#.#######.#.#####.#.#...#.........##.#.##.#.#####.##.######........###.###..#####.#.....#..##.#####..#...########..###.##...##.#......####..##.###.#.#.#....######.#.##.#.#.###..#.#.#.###.###.####.##....###..#.##
#..#.##...#..#.##.##..###.#.###.#..###.#######...#.#.#####....#..######.###..##........#.####.#.##.########.#..#.####.###.#.....#.####........#.##.##.....##.#######.###.##.##.#..........#.#.#.#.############.###.#.#....#.#.##.......##.##############.####.######.######.#####.#######.#.#.#..#########.###.#.######....#.####.........###.##.#.##.#.###.###.########.##..#.#.#######.#.##.##....##.##..######.#......##.#.##.#.#......########.#.##.#####.#..###.##.#.###.......#.#...#.########...##.....##.#.#####.##.######.#....#.##.#.#...##.#############.....###..##.#....#.#.#..#######.##..##.#.##.#.####.#..##.......###.######.#.#.#.###.#...####.##.#...##...########..####.................#..#....#..##.####.####.......#####.#..##..##.##.#.#.#.....#.#...#.#.......###.###.#####.#..#.#..#########.........#.###.##.......##.#...#.#.#.##.#..##.###.#.###.#.####.##.#..##.##..######..##..##..#.........####.........#.#.#..###.......##....#.#.#..##.####.##....#
#.######.###.......#.###.....#....##.....#.#.###.######.###.###.##......##..##########.####.########......#.########....####.#######...#.##.#....#.#..##.##..#.###...........#.##########...#######.#.##....#..#########.##.###..#.###.....#.#.#.##.##.####......#.###..#.#.#.##....###...#.....##.....##...####.#......##...#.#..#.##.##..#.....#..#....########.##.##...##.#.#..#.#.#..#.#...##.#.#..##.##.#.#..######.##..........###.######....###....##..#####........##################........#....###....#..######..#......###.####################.#..##...#.####..##..###.##.#.##.###########.......#...###..#.#####.##.##.#####............#.######.####.#.#....#..###.#.#####.#.#######.##.#.#.###.####.##.#...#.#..#######.#.........###.###.#....#.###.#.#.###.#.#######.##......###.#.##.#.##..##.......###.##.#####...####.##.#..###.#######....##...##.#...#.#.#..#..#.#.###.##.##....##..##..##.###.########.###.##.#.##...#.##.###.#.#..#.#.##...##.#...###.##.####
###.##.#.#...##.##.#.#.#####.####..#####.#....#####.......#####..###.#########.#####...#.....#.##....#.##............##.##...#.....#######..####.#.##.#...##.#.#.####.######....#....#..###..#.##......####.##...##...##..######.#.######.##.#.#........#.####.#....###...#.#.#####...###.#####.####.#..###..#######.#.##..#.....#########...#.#.##.###.##.....#...#.##.####.#.#.##.#.##.....#.####.##.##.#....##.#.##......######.#.#####.##...##.####.#.###.....########.....##.##.##.###...##.##.###.#.#...##.####.#..#########.#...#.##.#.#.####.#....#.##....######.####..##...##.######.#.#..#.#..#.###.###...##....##.###.....##....##.#.#####.#..###...##.###########.......#.#.#.####......#########............#.#.##.#.#.######.######.##..#.....####.#####.#.#.#.#.#........##.#.#.#.....##.#.#..#########.#....#.#...###########.##.#.####.#....##..###.#..##.##.#.##...##.#..#..##.##.######..#.##..###...###..#.#.####.######.#.##..##.#.##...######.##...###...##....#
##.......###.##.#....#.##....#.##.##.#.#.###.##.#...#.##.##.....##....##.###.......#.#.##.##...####.######.#.##.##.#.##.#..#######.#.###...##......#####.##..#.#..#...#######.#.####.#.##.##.#..####.#.........######.###.###.######...........######.#.....#######.#.###......#.####.#.....###....####.....##.##.#######.######..##.......#####.....##..#####.###.#.######....#.##....###.###.#.#..##.##.####.#..#..#####.#####...#.#.....#########....###...#.#...##.#.#####............#####..#..##..#####.##.##.....##.........##.##...........#.####...#..#.###.#........#######..###.#....##.....####.#.##..#######.#...######.############.....#.##.###.##.####.#...########.....#..#.####.#.#.........##.#.#.#.###....#.#.#.#.##.###.......##.#.#####.##.#.##........#.#.######.############.##.#.##..##.##.#..#.#.######.##..........##.#.##...########.#.#.##.#...#.#..###..#.#.##.##..##.#.##.##.#.###.#.#.###.##...#.##.#.##..##......###.#####.####.#.....###.###.#..##.#
#..##.##############.#.#####...#...#.#.#.##..#..#.#.#.#...##.#######.##..#...###.#...#.####..#..#.###.#.#..#..#.#..#..####.#..###........#.##.####.#.#....##.#.##.#.#.#....####.##...#.#..##.#.##.############..##.#...####.#.#.#....#.##.##.###..#.#######...##....#.#.###.##........#####.#...###########....#..........##.....##..#.#.#.#####.###.##.##.#...#......##..####.#..####.#.####..#.##.#..#..#..#.##...##.#...#.....#.#.###.#....#######.#.##..#.#####......#.#...##.#.#####.####..##.####.###...##.##.###....####.#.##...##.####.#.#.....#..#...####...####.#.#.#.#.###.##...####.###.#.##.......##..#####..##.##........#.##.#########.#.#..#.#.##.#.#..#.###........###.##...####.####################.##..##.#.....#.##.##..##.##....#....#...#.#..########.#.####.....#.##..........#.#.###.#..#..########.#.....##########.##.#..##.##.#.#.........#.###...#.##...##.#.##..#.##..#.##....#.#.....#..##.####...##.#.##.##..#.#.##.#####.#....#.####.####..##...#####
##.######.......###.....##.###.##.##.#.#..##.##.#########....####.##..##...#########.###.######....##.#.##.#.#####.##.##...##...###.##.#.#.####........##....#.##.######.#.#.#...###...##.##.......##.######...##..##.##.##.#...#########.#....##....#......#....##.#.#.....#########.....#.###.#.##.##.#.####.##############.#.##..########.#...#......##.###.###.##..##.#..#.#.##.#....##.##......##.##.##...#..####.###########.#########.##.##.######..#####.##.##.#.....#.#######.........##..##...#...#.##..#######.###...#.##.#..###....#####.#...###.##....#......#####.#......###.#....#.#######.####.###..##.##.....########......#.#.........##.#.#..#.#.##.#.#.#####.##.#....###....####...........##.#.#..#..###.#####.#.......#########...##.#.###.#.##...........#.###.#....###.###.##...#..#..##.##.###.#.##.####.##...............##..##.#.###.#.#.#.......###.####.##...###....##.#..####.#...###...###..##..###..#..#..#.######...##.....####.#.#..#..##.#..###..##
####.#..######.##.#####.##.........#.#.#.##...#..#.##..#######.....##########...#.#..##...###.####.#.......#....#########.###.#..##.##.#.#..######.#########...##..#.#.###.#...#..####.....#######.##........#....##...#.##.###..#####..#####.######.####.#.##.#.#......#.#.#...##.#..###...#.#.#.##.#..#.##.....##.#.####.####.##.##.###.##.#######.##......#.#######.##.##.#...##.####.#.....###.##..##.#..#...##..#.#..##....#####........#..##...#.#####.....#..############.#.##..##.###.####.########.#.#..##....####.#####.#######...##.#.....#.#.#.###..##.#########.#..########.#.##.#...##.#.####..#.#.#.##...####.##.#...#######.#.#########........##.#.#....#.#.#...#######.#...##......#########....#.##.####...........#.#.####.#.#....#.#..#..##.#.############.#..######.##.##########.##.##.....#.#.#.#.#....#...########.#####.####.#.....##############.#.#..##..#..###.####..#.##.#.#..#####.###.#.##.###...##.##...##...#.####..###.#...##.#.##.#.###.#.##.##..#
#.##.##.#.##...#...........#.##.##........###.##....##.#..#.#..##.##...##.#.###.#.##.###.##.#.#......#####.#.####.##.##...#...##....##.#.##.#......#.....#####.##.##.#..#....####...######.....#.#.########.###.######.#.##..#..##...##..#.#..##.##...#####..###.#.#.##########....##..####.#......#.##......###.#.......#.#.....#.#...#..............##.#.#...#.###.#.##.#....#....#......###.#....##.#..######.###.#...######..##.########...###.#....#..#####.####.#.#####.#.......##############.##..#..###.######............#.#.#.##############.###..##.###.#.....##..##....#.##.......#.#......#.###...#.#.###.##.......###.#.##....#.#.#..#..########.##.#...##.....##.##.#.....#.#.####.##.##.#...#####....#####..#####.#.#####.###..#.###.#####...##..#..###.#.####....##.#........##.##.#.#.##..#####.#.#...#.####...####.##.#####....#.#..#####.#.#.##....#.##.#.##.###...##.#.#.##.##.##.#.##..#.#..###.#..#.#.##.##.....####.###.#.#..##.####.##..#..#....#........#.##
#..#.##.#.#..#...######.#.###########.#.#..##.###.#.#..##.#.####...###.#...........###........##.##.#####..#.#........#####.######.########.#.##.#.##.##.......##.#..##...#.###.##.##.##.#####.#.#..###...###.#.#.#.#....###.##.####..##...##.#..####...###.####.#####..........##..####.##.###.##...##########....##.##.#.###########...##.#.######.#########...#........#########.####.#######.##..#.#.####..#..#..#.#..##..#.##...##.######.#.#.####.#.##......#.........#.######.##......#######..##.########.##...#.#.#.###.##.#.#.#.#....####......##....#...#####.##.######.#.#..#.#.#.########.#.#.###.#.#.#.#..######.##...#..##.#...#.##.##.#.####.#.##...#######.######.###.#.#####.##.#..#..###.#...###.####...###....####..###.##.......#.#.##.####...##........####.##.########.##.#..#.#.##.##.....#.###.#.##.###..##..#..#...####.#.#.###..#.#....##.#.........#...##.##..#.#.#...#.#....###.....##.#.#.##.#.#...#.###...#........##.##.##...###.##.#.####.#.##.#.#..#
##..........#######.#.#.###.#.##.#########.#....#.####.#..#.#.###.###..###.###.#.#..####.####..#..####..#############....#####.....##.#.....###..###...##.#.##.##.##.###.#####.....##....#.###...#.##.###.##......#.####..##..#..##..#####.##...##.####.#.####.####.###.#.#.#######.###......######.##.#.#.##...#.##..#.....#####.#....###..#.##.....#.#########.#.####.###..##..#...##..##...######......#.##.##.##.####.###.#.###.##.....###.#.###.......######.#########.#..##.##########..####.#.##..####..#.....#########...#........###.##..####.#####.####.###........#.........########..........#...........#.##.#.....###.##.#####.##.#.................#####.###.##.#.#.#####..#.#..########.......#..........#.##..#.###...###.....##.#.##.......#.##.#####.#.##.###..##..##.#....##.##...#.##..#####.......#..#.#...####.##.###..##......#.##...###.############.##.####.###...#.#.#...####.#.#####.##.#...##.#.#.######..###.########......###..#..##.#..###.#########.#
####.#.###.##...........#............#.#...####...##...##......##.#.##.#####.######....###....######.##.###.#.....#.####.#.#.#####..#.#####.#...###..########............#.#.#####.##.##...#.###....#.#...#..##.#......##.###.#.##..##..##.####.##.#.##.#..##..##....########.##........####.#.#.......#....###############.........##.##..#####.##.##.#.#.#.##..####.....##..##.##.#########.#.#..##.###.#.#.....#..##.#..##.#.#...######.#.#.#..####.##.###.#.#.#.#.#.....##......#.##..###..##.....##.#..##.#####.#..#.#.########.#.##...#..##.......##...##...#.####.###.######.##.#.#.#.###########.##########.##.##.#####..##..#.#.#....#.###########.###.####..#.#.#...........###.#.##...##..############.#.######.###.###.###...#####.#..###..####.##.#..#.#.#####....##.#..##..####.#..####.#.##.##.....#####.##.#.###.##...##..###..######.#..#.#......##..........##..##..#.###.#.#.######.#.#.....#..#...#......#..#.#.##...#...##...####.#...##.##..#.#.##.#..#..#.#.#.#
#.####.#############.#.######.######.#.###.#..###..###.######.##..#.#....##..####.####.######.#.#.#..#..#.#.#####.....#......#.##..##....#..#####.######.#.########.##.#.#.....#.#..######.#.#.####.#.###...##########.#...##....##..##.##..###.##.#......####.#####.#.##..#.....##.#.###........#.###.#.##.##.#.#...##########.######..##.#.....##.#.........##.##.##.##....##..#..##.....#....##..#.###.#.#####.##.#..##.##.#.###.#.##.........##....#..##..........#####.####.##.#.###..###.#####.##..#.###..#######......#####.######.#...########.####.#######......##..##.#.######......#.#.#.............#......##.##.###.###.....####.#.#.#.#####...#.####.##.....#.#####.#.#........##.###.##.#...###.#######.##...####....###.###.#######...##.......##.......#####.##..##....##.##.#.##.......#..###.#.#.....##.#..##.####.##.##.##..#.....#.#########..##########..#.##..##..##.#...##.#.#.#.#####.##.##########.#.##.#..#.###.###..####.###.#.#..###.#.#..#.#.##.##.#.#.#
#.#.####..#.#...###..###.#....###....#.#.#...#####..##.#.......##.#.####.#..##.#..#....#.##.#.#.#.##.##.#.#.###...###.######......######.####................##.##############.....##..#...#.#........##..#.##...#.....###.#####.##.##.....##......######.####.#.#......##.###.#.#..####..######.#.#...###...#...#.#..#.....#.####.....##..#####.##.###.#####.#..##..#######.###.##.######.##.#####.###......#.....#.##.........#.#.#.##.#####.##########..#####.#.##..##.....####.....#..##.#.#.#....##...##..##..##.######.#...#..#.#.#####............#####.#.####.#.####....#.##.##..####...#.#######.#.###...####........##...#####.##.............##.##..#....####.#####....####.#.#.#..#.#.#.##...#.......#.#......###.###.#...........#.###########.#####.#######...#..##.#####....##...####.#.#...##.#########....##.##.#.##.##.#...##.###.#....##.....##.......#.###....##.#..###...###.........#.#......##....#...#.#....##.#.#...##..##...####...##...#...##.......#.#.#.#
#.#.#.#..##.###.#...##.....####.####.......#....###.#..#######.##.#.##.#.##.##.##.####...#......#.#.......#.#.#######.##.#.##.#.#.##.#....################.#............#.#..#####..##.###.....####.#....#######.#####......####.##.##.#.######.##......#..##....######.##..##########.####.##.#######.##..#...#.####...###...##.###########......###########.##..##.##....#.#.#.#....#....#....##...#######.##.##...##########...#.#.#####.......###.#...##.#...#.#..#######.#....###.##.#....#.##.#....#####.###.#..###....###.##......#.####.##.#.#.###.#.#.#.#.######....##.......####....#...###.....#########....##.###..###..........#.#.##.####.######.###.##.....##.#.#.##....#.####...#...###.##.#.###.....######.....############.##...............##....##..###.#.##...#.#####.####..#########..#..##....###.#..#.##......##.###.##.....#.##..##.######.####.....##.#..#.#.##...###########.#.#.#####.######.###.#.#.#####.....#####..###..##..####.#...###..#######.#.#.#
#.#...##.#..##....#.###.##..##.......#.#.#.#.##.#.#.#.##.##.#............#...#....#..###.######.....###.#......#.#.....#....#######....##.#.#.#######......#.#.##.#.#.#.#.##.##.###....#.####.###.######..###.##....#..#.##..........###.#.#..#########.##.#####.#.##.#....##.#.#.#..#.###.......##.#.....###.#############.#.............###.#.#.#....#.........###.#..##.#.#.#.####.####.####.#..#.#.#..##.....###.#..##.##...#...#..##.#####.###...###.##.########.##.##...####.#........##....####.#.#.##...##...##.####.....#######.........###.#.#...........#.#.#..##..#######.#.####.####.#.#.#######.......##.######.##...##.##.#.##.#..####.#.#.#........######....#.###..###########.###...###########.#.##...####.#..#............####.##.#.####.##..######.##.....#.#...........###.#.##.#.###...######.....##....######....#....#####.####.##..##.#.####.##.##.#####......#.#..#..#.#...###......##.#.##....##......##.###.###.#.##.#.##.#..###.#####.#.##.##..#.#.#.#.#
#.###.##.#.##########.#####.#..##.#.####.#.###................#.#.#.#.##...#.####.##.#...#.#####.#.##...##.###.#.#.###...##..#.#..######..#.#.......##########.#..#####..........###.#...##.####.........##...#####...##.##.#.#.##.#..#......###............##...#.##.####.##...#.##.......####.##....#.#.#.....##.#.#......#.###########.#...#.####.#...#.#.#.#.......##......#.###..#...........##.#.##..###.#####.##....########.#.##...##....####.....##.###.......#.####..########.#.#.#..##..#####.#.##.#..#.####.#..#####.#.#.....#.###.#..##.#.##.##.#####.#...#.#######.#.#....#.####.#......#.......####.##..#.........###..#..####.##.#......#.####.##.##.#.###.#######.####.##.#.....##.#####.#.#.....#.#..#..#.####.#.##.#######......##.#.#..#.###..#.#.#..#####.#####.##.###.##.#.#........##.##.##.#########.#..#.#.####...##.#.#.###.......##..#.###..#####.#.#.##.#######.##.##.#.###...#.##......####.##..##.#..#.#.#...#.#..#.#.##.##.##..###.........##.#.#.....#
#.##.....#.##....#.##.##.####.#######....########.#.#.#.##.#.######.#..##.##.#.........#.........#.##.#.#..###.#.####..###..##.#.##..####...#######...#.#.#.########.##.##.#.#.#..######.#...#.######.#######.......#.##.##.###..####.###.####.########.##.##..#.......#....###.#.#####.##.#.....####.######.##..#.#.########.#........#..########.#######.#.#.##.#.########.#.#.#.##...##.#########...###.######.....####..##.#.##......#..####..##..#.#..#.#.#######....####.#..#.....#.#.##.###..#.#....#####.#.##.....##.........###.###...##..############......#...##.#.#..#.####...#.#....###.#####.#.##.....#####.#.#.#.##...###.#....##.##.#.#....#.###...#.#.#.#.#..##.###.........###.#...##.......#.######.##....#.#....####......####..######.#.#.#.##.#...##...#..##.#######...#.#.#######.###.##.#..#..##..#####...#......###.......######.#..##.#.#...##.#.#.#.#.##..##.##..##.##.#.#.###.###..###.##.#...##.#######.#.#.###...##.#.##.##.#..##...#.#######....#.#####
#..#####....####.#.#.....#.####....####.##........#####.#..#.#.#.##.#######....#.###.#.#.##.#.##.#.##.####.#......#...#####....#..##.#..###.#.....#.#.....#.#.#.......##########.##.##...###...#.####.###.#.#######.#.##.##.#...##.........#.#.###.##.###...##########.##.#..##.#.#.###########.##.########...##...#.##.......##.#####.##.##.#.#.#.##.########..#####.##.#####.#....##########..#....#..........###.#......###.#....#.#####......##..#####.....###.######.#.##.##.###########..#.##.....##.#.#.#....#####..#.####.#.##...#...#.##.####...#.##.#########.###.#.##...##.###.#...##.#....#########.##.####...#.#.#..##.###########..#######.#....####.........##.##..##.#.##.#.####.###..####.#.####.......##.#...###.##....##.#.#....###.##.........#...######...##..###.#.###......#.###..##..#..##...####.#.#.###.####.###########...#..####.##.#.#.#..#.......#..##..#..##.##.##.#.#..###########.#..###.##..###..........#.####.#.#..##.#.#######.##.##.####...##..#
#.##..#####.##.....##.##.....#..##..#.######.#######.#..##.#.#......##.#.#..####.#...#.#.####..#####..#....#.#.##...#.##....##.#.##..#.##...#####.#######.#.#.####.##.##.##.#.#......###.....#......#.#.......##.####..#.######.##.##.#.##...#.#.#.#...#..#..###....#...####.##.#.....##............###.#.##.#####.#.########.#..#...........#.#.#.##....##.#..###.............####.#.##.#...##.########.#.####.#.########.#.#.####.#####.####.#..##.#.#.###.#.#......##...........#####.#..##.#....#.####.....##.####.#..#####.###..###.###.#..####.###...#..#.#.###.###........#..........#..####.###...#.##..##.#....#############.#.#.########.#.########..####.######.....#.##..########....##..##.#######...###########.########.#..########.#......#.####.##.###.##.###..##.#......#..####.#.#.##.###.#.#####.#.#..#.#.##..#.#####..#.####..#...#####.##.#.####.#######.##.###...##..##.##.#...##.##.#......#.####..##.#.####.###.###..##..#.##.##.#.#.#.##.....##...###.##..##
#....##.#.#..#####.#..#..###...####....#.#.#####.##....###############.#.##.##...###.#.###.######.######.#.########.#..####.##....##....###.#......##...........##.#..##.#....######.#.#.#.#.######.#######.#.........##.#.......###..#..###.#.#.#.###.####.##.####.###.##....#.####.####.#.#.#####.#......###.#........#.....##.##.########.....#.####.##..####.####.##.#####.####.#.##.###........##.#.####......#............#.#####....#.####..###.#.#...#####.##....#.##.#.##.......#.#######.#####.#####.....#.#...##.#....###########.#####....####.##.............####.###.#.##.###.##.#....#...#......###########.#.###.#.##.........#.......#.#.####.#.####..#.##.##.#..##.#.....#####..##.....##.#...#########.#.#.##.###########.###.#####.#######.#.##.###.#..#.##.##.######...##............#.....##.....##.#...###...#.#.##.#....####.#..#.#........##..#####.......##.#####.##.#....###..##.###.##.#.##...##..#..#.#...#.#.##..##...##.#......#..###.###..###....##..#
##.#........##..##.##.#####..####.#.##...#.##.....#######.#.#.#.###.........##.#..####.#.....#......##.#.#######.#..##.#.....###.##..##.#.#.######..###########.#####.##.####.###........#.######....#.####.###.##.##..####.########.###.#...............##.##.............##...#.#...#.#######.......#.##.##..#.####.#...###..########......#.#....#....##.###..#.#########..........##.#.#######.###.####.###.##.###.#.##.#.#....##.####....##..###..#.###..##.###..##.########..#.#.#...#.##.####.#.........##.##.###..#.###.##.#.#..##.####..####.........#.#####.#.###.##.#...#..#.#....#.#.#.########.#.#####.#.##...#..#.....#########.#######..........#..####.#..###..#.###.#####.#.....#####.###..#.#.#................#.##.#.###...#..##.##.##.........#.#.#.##...#..##.##..#..#.#####.#.#####.#####..###.#..#.##.##.#.#...#.##.###.##..####...#####.##.##.##...######.##..#.##..##.#.####.##.#..#.####.#..###.###.#.##.#.#####.##.##..#.#....##.###.###....##.######..#.##
###########....##..######.#####...###..#....###.#..###............#######.#.####.##....#####.######....#####.#...###########.#....##.#..#...##.#.#.##..#..........#......#.##.#.######.######.....##........##..#...##..##..#......###.###.#.#.#.#.##.##.#...####.##.##.#####.#.....#.#..#.#.#..##.#.##.#..##.###########.########......####.###.##.###.##....##.#.#.##.#....##.##.#.###.#..##.........##.#..#####...#############....#.###.#....##.##.......###.###########...#..####.###......#.#....#.#.##.##......###.#.##..##.#.##..#..#.##.#..######.###############.....#.#.#.###############.###..#####.##....##.#.##.#####.....###...#.#.....#.####.#...##.#..##.####.....####.#..#####.##..#..###.###.#######.##.#####...#......###.##.....###..#######.#.#.#..###.##.##.###...####.########.#..#.##..##.####.#.#..##.#####......#...##.##....#.....####.#...###.........##.#.##.##......##.#..##.#.##.....##.#.....#.##.#.##.##.##..####.#.########..##..#####.#.##.##....#
#.##.#.#######.##.##.#....###.###.#########...####...#.#.##.#.#.#.........###.....#.#.###......#####.#..##.#.###.#.##.##.#.######..####.###.........##.##.#.#.###...#.##..........#.#####.#.###.#####.#.##########.###############..#......#.##########....###..##########....#######.##.#.#...##..#.#..##..#.#.#...##.####.####.####.#.##...##..#..#.#..####.#.........############.##....##..#.#.#.#....##.#.#.##.##..##.#.#.#.##.###...######.....#######.##..#.###..##.###.####.####...#.##.....#.##.###########.##.#.#.###.#.....##.##.#.##.#.##.#.####........##.#.###.#.#.#.###.#.###.##.#.##.#.##.##.##.#####.####.#........#####.###.#.##.######.######.##.##......######.##...##.#......##...##....#####.#.#############.######.##.....#.#.##..###....#.#.#.#.##....#.#....#####.##.#.##.#...##.#..##.............##...#..######.###.##.###########.##.#.##.##.##.#.##.#.##...##.##.##.#.##.#.##....######.##.#.##.##.##....#.##.#..##.##....###.#.#.####...#...#.#..##.####
#.#..........#.##..#.####......#....###.#.#.#####..####################.########.#######..####....#####....................##.####..#.#..#####.#.##..#..##########.##.###.#.#.###.#.#.#......##.#.....######.......##.##........###...#.##.#..#.#.##.#####..###.###......##.####.##...#....###..##.#.##..##.....##.##....##.#....##.#######.##..###.#.##.#.##.#########.#.####.#.##...###.##############.##....#.....##...........#.#.###...####.###.##.......##.#.....##........#....############.#######.......###.........##.###.#..#.#.....#.#.#....#.#..####.#..........#####.#..............................#.#.#.#....#.#.##.##.#..#.....#####..#...##.....#.#####.#.#..##...###.##.####.#..###.####.##.##......##.#.........#.##.....#######....##...##..........####.#.#.########.........###......###############.##.###.##..##..#....#.#.#.###.#.#.......#.#.....######..#.###..##..#.#.#.......####.##...##.###......###.##.##...##..##.####.#.#.....##.###.###.##.#...#.#
#.#######.##......##.##...####.####.........#.#.##..##..#..#.#..........#....#.###.#.#.#.########.#.#.#########.##.##.####.........##...##.#.#######.##.##.#....####....###.#####.......#.##..####.##.#....##########..########..#..#.#..######............##...#.######..#####...###.##.#.....#######..#######.#..##.#.##..###.##..##...######.#..........##.#..................###.##.#.##.#..#.#.#.##..####.###.#..##.########.#.#...##.##......##########.##.#####.#########...####.#.#.#.########.#####.###.....##.#.##.#..##..##...#####.#.#.#.##.....###...##.#.###.#...##..#.##.#.#.##.#######.#.#.#.#.##.....#.####.#.###...#.##.####.##.#.##.###.####.#.....#####.#.##..###.......#.###.##.#.#.#..##.#..##.#......#######......##.##....#########.####.##.###.##..#.#.#.##.....#.###.###.#.######..........#.#.#..........##.###.####.#.#...#.....#.#.#.#...########.####...#.##..#.##.######.####.#...###.##..######.###........#####.#...###...####.##..##..###..#...###.#
#.#.#.##..#######..#.####.#.....###.#.#.###.#...###..##...##...#.######.####.#..##.......#........#.#..#.###.####..####....#.#.###.####.##....#.##...#..##.####..##########.##....#.#.#.#####.##.#..######......##..#.##.#....##...##.#.###...##.#####.#.#..###...##...##.##..##.##....######.###.#.######.####.#.#####.#..####.###.##.###.#..#########.##..#...#.#########.#.##........#..#.##.......##.##..#..####.######.........##.##...#####.##..#..###..#....##..#.#.......#..##...........##.#....########.#.########...#########.#............##.####...###..####..##.########################.##############....###.#######......##...##.#.#......#..#####.#....#.....##.#.##.####...##..#..#.#.##....########.#.#.#####.####.#.#...##.#.....###.###....#..#....##.#.#.#.#####.##########.#.#......#.##.#.#.......####.#.#..#.#.....##.#.###...###.#########.####.##.....###....##...####........##...###....#.##...##.#.##.####.##.....#.###.##.###....##..##.#.##.##.##.#.#
#.....#####...###.##.#..#######.#.#######.#.###.#.#.#####.#########.###.#......#######.#.###.####...##...#.#.#.##.##.####.######....##...###.##..###.##.#....###.#.###.##.###..#.##########....#.#.###.#.######.###.#.#..##.#########.###.###..#####...####.....#..##.##...##.#...####..#.######..#.#.##...........#.#..##.##.....#.##.#.#...##..........##.##.######.......###########.##.#.######.#.....##...##.#..#.##.#######.#.....##.##.#.#.###.##.#.##.#.##..##.#.##########..##########.##..#.##...###....######.#...#####.##....#######.#.#.###.#....#####.####..##..#.#.#.##.#.##..........####.#.#.#.##.#..####.####....##.#.#..###.##.#.######.##.##.##.####.####.##....#######.#..##.#.##.#..#.######...######.#..........#####.##.#.#.#.........##.#.#####.##.#.#.#..##.#.#.#...#........#.############.##.#.##...####.#.#####......#.###.###..##.............#####..##.#.###.#...#####.###..###...####.#..###.#..#.#....######.##.......##.#.####.##.##....##.#.....#.#
####.##.#####.....##.#.###.#......##.##.............##.#...##...##....########..#.###..########.###.####........###........##.#..##....###....##.#...##...####.#.#.#...#....######.#.#.##.####.#.####....##.#.#.#.#.#...###.#.#.#...###.......##.....#.#....##.###.....##.##..#.#.###..##.#..#.##.#.#..#########.#.#.##....######...#....###..#########.###.#..##.....####.##..............#..#.#######.#####.##..##.#.#..###.#.#######.##.##......##.##.#.#..#####.#....#.#...##.##.##.#...#.#.###.######.....#.###.##..###..#.#..##.##..#.##.#######.##########...##...##..##.............###.##.#.###........##.##.##.#.##.####.#######.....##.#..##.#...........#..........####.#.##..####......#..##.#..##..##.##.#....######.###.##.###########.######.##..#.##.........#...###.#.#.###.########.#####.##.##########.#..#.#..#......#######.#.#.###.#.#######.##.###.###....#####..#..#.###..#####..######........##.#.##.#.##.###.##.#####.######....##...##..##.####...###.#.#
#.##..#...#.#####......#.#.#####.###..###.#.#######.##.##.##..#....##..##......##.#.####............#.###.#.###..###########....#####.##.##.#....###.####..##......###.##.######...#.#.##..###.#..#.####........#.#.##.##.......###...#.#####.#######################.##...##.###.#.#.###.##......#.##.##.#.#.#..#....##.###.#..###.###.##.#.##.........#.....#####.###.##..########.#####.#.##.#.##.....#.#...##.##.#.##.#.#.#.##.##.......#####.###.#....##..#......##...###..#.#...#.###..........#.....##.#####..#..##...##.##.######.#....#####...###...##.#######.##..###.##########.##...####.#.########.....#.##.#.##.##.....#.#.##.##....##.#....#.#.################.#....#.##.##########.#.##....####.##.#..###.##......#...#..............#......###.#.########.#.###..#..#.#.#.#..##......#......#..#.#.#.######.####.######.#.##........##......##....####.....####.#.####...######.##...##.##.#.########.#..#.#..#.#.......#.##.....#..#####.####.##.##...#.##.######.#
#.###.###.#.#.....####.........#.#.##.#...#.#....##.##.....###########..######.##.#..########.##.##.......#...##..###....#.#######........######.#.#....##..######.##..##.#.#..###.#......##.#.#.##.####.######.#......######.#####.######.##..##.#.#.#.##.##.###.#...####.....#........#.####.##.#.#...#.......###.#..#.###.#.##...###.##....#.#.#.######.#.##.#...#......##.#......#............#..##.##.##.##..#..#.#..#........###.####.#.#.#.##..####.###.##########.##.##.#.###.#.#.##########.############.##.##..###.##.....##..#.####.#.#.###...###....####..#######.####..#..#.########.##.#.#.....######............#####.....########......#.#######.#....#.####.....##....#.##.#.###.#......##......##.#.##.#######.#####.####.#.#.#.######.###.#...###.########...##...##.#.#.##..###.#.###.###.##.........######....###.##....######.#######.#########.######.#.##.#.#.##.###.##.#..###.........###..##..##.#.##.....#.#####..####.##.##.#.#..##......###.#.#.....###.#
#.#.#.##..#.####.###...##.####........##########.#...#####..##.##.##.#.###.#......#.##.##..#######..##.##.###.###...#.##...#.###.#####.##..#.##..#.####....##.......##.#..#.##..#..######.#..............#........###.##.#.#...##...#.##......###.#.#..........#....#.#..#####...######.#.#.#####...###.#####.#...####...#.#.#.####.#...####.###########.######.#######.##.#....#.##.###.##.#####.#####.##.##.###.##.#.##.######.#..#####.#.......###.##.......#.#.###.#............#.#.#.###........#.#..#.##.#......##.....###.##..##.#.#......#.#.##.##.####.#..##.#..###..##.##.##...##.###........#####.#.##...#.###.##.#...#######.#.#.#....##.#.#.#...#...#.##........#.#######.#.#..........#.#.###.#.##....#.##..#.###..##.######..#.#####.##.#####.##.##.........####.####.##.#.#....##.##########...#########.#.#.#####.#.#.###.###.#......#.#....#.#.###..#......#.#....#.#....#.##...##.#.#.#####.#...####......###.########...##.#..##.##...##.#..######...#.#.#####...#
#...#.###....###.#...#.######..#.####.##.##...#....###...##.#..##.......#..######.#.#...##.#.#.....##...#######.##.#######...#.#.#.#######...###....######..#.#####....##....##.#.##..#...###.#.#.#.##.#########.##....#.#.##.#####.#.###.###.#.#.....#####.##...#.##.##.....######.......#.#.#...#...........#.####.###.#...#.#....###...##..##.#.##.....#.#.#.#....##.####.#.##.##.#....#####.#.#.#.#.##.##..##.............#####.#.##..#######.#.#.########...#.#.#.##########.#.....#.#.########...##.#.#....####.######...####.##....######.....#......###.##.##.##...##....#.....#.##.#.######.#............#.#..##.#..###...............##.##########.###.#####.#.#.#.####.#........#.#.###.######...#.#####......##.#.####....##.########.......##...##.##########.......##...#.#.#.#####.##.#.##....#.##.#.#..#.#.#..##.....#.#.#.#.#.####.###.####.#.#.#.##.######.#.####...###.##..##.###.#####.....###.#.###.###......##.##.###.##.##.......####.##.##.#####.#.#.##.###.##
#.#.......##.....#######.#....##.#........###...##...###.##...##..###.#...##...#..#.###....#...###..##.##....#..#..#.#.....#..........##.###.#.##.#...##...####.######.#####.#.....##.###..##.#.#.#..###.........#####.#.#.##.#.#...#..######.#.###.####.######.##.#.....#.#..##....#.###.#.#.###.##.#.##.#.#.###.#..#...#.#...####.#.#.#.#..###.#.#..#.#.......####.#.....############.#.#.................##.#..##.#.#.####...##....###...##....#......###.###.#.....##.#.#..########.#...#.###.##.###....######.......###.####.#.#####.##.#######.######.........#..###.#####.#######......##...#.#.#.##.##.##.##########.###########.##.#.#####.#.####...#.#.###.##########.#.###.#.##.#####...#.#.#..###.#.#######.##..#...###.#....###.##.######.##..######......#...#.#.#....#.......#.#.#.#.....######.##...##.#.#...#######.#..............##....##.#.#.#.##............####.....###.##..#..##.######...#.#.#.######.###..#....##..#...#.#######.#.....##...##....#.....##..#
#.###.#.########.##.#.##.####.######.#.##.....#####.##...####....########.####.##.#.#.####.###.#...###..####.##.##.#.########.###.###.............###.####..##..........##.#.#####......##....#.#.#.############..##............###.##.#.#........###............####.#.#####.#####.###...#.#...######..###.#.#...##.###.####.####......####.##..#...##########........#.#.##.#.....#...#.####.########.##.##....##..#.####.#.#######..###.######.####.###....##.##.##.##.....##.#........#............####..#.#########.#.#..##.......#..##...##.##.#..##..#.#.#.#...##..............#####.######.#.###############....##.###......###..##.####.......#.###.........#..##..#.#...###.#.#####.####.#.#.#.######..........##.###.#.####.#......#.#.#.#.....##...#######.###.######.#.######.##.#.#.#####..##.#..####.#....###.##........####.#######.#####....#...#..###########.##.######.#...##.##.##..#.#.####.....#.##...#####.##.######.###.........#.#####..#.####.##...###....##
#.#...#.#........#............#.#.####..###.#.#......###....#######...##..............#.##...#.#.###.####............#....#.###...##..#.##.#.#.#.##........########.#.#......#######.##....##.#.#.###....#.#.....##..#.#.##.###...#.#....######.############.#.####...###.......#...#####...#.###..#######..#.#.#........###...#...####.###...##...#####.#......#.###.##.####.#####.#######.#..#..###.###...####..##.###......##.####.##...#.##..........###.##...###..###.##.#..####.#.####.##.####.####.##.#....##.....#.#.#########.##.####.##.#..##..#.##########..####.#.#######.#.....#.##.#.#.##.#........#.###.##...#..####.#.##..####.#######.#.##..#######.##..##.....#.....###.##.....###.#.####..##.#.##.#.#........#...#########...#.#...#.#..###.#.#.##...##.##.#...######...##.#.#.##..#.##..##..#.#.###.##...######.####....#..........#####.###.#.##...........##..........####.....##.#...#..#####.#..###.##....##.#.#.#..#.#.#########.##.###.#.#..####.########..#
#.#####.#.##.#.#.#.#.#.#.###.##.....###############.##.###.##.###.##.##..##.##.##.#.#...####.######..###..##.#######...#.##.##..#.############.#########.#..##.#.#######.#.#.........#..##.#..#.#...####...###.#.#..##########..#...####.###.....##.#.###.#######...#.#...#.###...###.#.###...#.##.#.##.#..##.#.###.####...###...#.#......#.###..####.#....###.##.#...####...............#....###.......###....##########.#.#..#.#.....###.#..######.#.#..##..###..###......####.#....####.#######...###.....####..#####......##.##.....#.......#.##.##.####.#...#.###.##.#########.#.#####...##...####.###.##.#........###.#.####.......##.....##..........##........##.#####.##########.#..#.#........#.##..#.##########.#.##.##.##.........#.....#.#.##.#.......####....#....####...###..#.#.#..##.#....####.#.#.#...####.....##..##..#.########.##.#.#.#.##..#.#####.##.###..####.#####..##..#####..###...##.....#.##.#.#####..#.#.#.##.#.....##..#.#....#.#.#.#.##..#.###...#####
###.#...###..###.###.#####...##.###.....#..#.#..#.......##.##.#.#....###.#...####.#.#.#..##....##.#.##.####..##......###.##.#..####.##.#.##....##........##..#.#.....#.###.##.#.#######.##.##.#.##.###.###.#...#.####.##...#.######....#.#.###.####........###....#.#.#.#.####..#.##........#....#.#.#..#######..####..##.##...##########.#...#####.#.###.##....###.#.#..###############.###.##.######.#######..#.#.##.#######...###.#.....#.##.#..#.#.##..#.##...##.######..##..######....###.#.###.#.#.#.#....#.##.######.#.##..#.#.#...#.#.#......##..##....#.......##..##.........#.#...######.##....########.#####.#...####.#####.#..#####.#############..####.#....#.#####...#........##.##.#####.#.###.###...#.#.######..#..##.###.###.##.##.#.#.#..#######..####.#.#######...#...##.#.#...##..##.#............#..##..#.#....####.#.#........#....#....##.#..##.######.#.##..####....####.##....##.##.####.##.#.#..#.#.#...##.#....#.####.####...####.#.#......##...#.#.###.###
#.....#.####.#...#...#..####..#########.##.#.##.#######.......#.#.##.....##.###.###.####.####.##....#.......####.#.###........##.#..#..#.#..#.#######.######.#.###.#...##########.......##.##.#..###.........#.###.....###...#.##.####......##.##.########.#.###.##########....##.####.###.#####.#.#.#.####..#####.###.....###.#..#.#.......#.##.......########.#...###.##...............#####.....##...#.##.##.#....#.#.##..###..#####.##........####.###....###.#..##.####..##.##...####...........#.########...#.........#....####.#.#.######.###..##.########.####....########.##...###.##..#...####.#.#.##...##....###.##...#.########.....#.#.##.##...#####.###.##.#.#.#####.########..#..###.........#...###......##.###.#.###.#########..##.##########.#.##...#..#.#.....#.#.###......###.###.#########.#.#.####....#####.#.#..#.#####.##.####.#...#.###.##.#..##.##.......####..##..#.#..#.#.##..#..##.####.#.#.##.#.###..#.#.##...##.....##.###.#..#.#.#######.#.#.#.......#
#.###.#.#..#.##.###.###......##.................#.#######.###......##.##.#..#....#####.#.#....#####...########.#################.##.##.....##.#.##..#####.......######.#..#.#######.###.##.##.#.#########.##.#.#######.....#...........##.#.....#.##.###.#....#####....#.####.##..#....#...#.........#.##...##......###.##..#####.#.######.#########.#...#.#....#.#.###.#######.########.#.#####.#....#.........####.#.#.###.....##.#.########.##..#####.###.##.#.##.##.#.#..##...##.##.############.#.##...#####...##.#.####.##.#.#########.#...####.##.#.#.##.###....##...#.##...#..#..#...##...#..###...#.##########.....####.......##.#####......#..##.##.#.....###.........##.##.#.....#####...#.###.#...###.######.....#......###.#...######...##...........###...########.############.#.#..##.#.#.##....######...##.#.#.######.#########..#..###.#.#...#.#..##.....####.####..######...##.#.#####.##.#...#........#.#.###.##.#.###.#####.####..##.##...#..#....###.#...#.#.###
#####.####...#....#.#...#.##.#..###########.#.#...........#...##.###..#..#####.###.#.......##..#..##.##........####...#.###.##.........#.#.#..#.###.....###.###.#.#.#....##.#.#.#....##.##.##.###.........##.###.###.##.#.###.#.#.##.###..#####............##.#.#.####....#...##.####.####.#.#.#####...###.########..######.#.#.#.#.#.#.##...#.##....###.#.##########.....#.#.###.#.##.#.........##.###.##.#.##..###.#...#.#####.#.....##.#.##..##.#.###.#........#...#.#.#.#####.#.....#.###........#.####....##.#.##.#########.#..##..###..##.##..#....#.#.#..###########.#..#########.###.#######.....#...#.###.#.######......###.###...##...####.##.......###.####..#.#.###.....#.####.##.#.############.##.#.##.....#.#...#.#.###..###.#.#####.####.#####.##.###.#.##.......##.##.###......#.##.........######....#..###.....###...##.#.#######.#######.#.....###.###.#.##.##.#.####..###.##.#..#.##.##.###.########.#.#.#.#.#..#.#.####.#.....##.#...##.##.##.####.....#######.#
##....##.#######.######.#..###.##...........#.###.####.##.#.#.#..##..######.....#....#.#.#.###.#.#############.#.#..#...#...###.#.####.#.#.#.##.....###.....##........#.###.#.....##.#...#.#...#########.#######.#....###.#.###.#.######.###....#.#.#####.##..#.#.##.####.###..###....#....#####.#.#.###....##.#..##.#.....................#.#..########....####.#.#..###.#....#.........###.#.#.#####..########.#.....#....#.##.#####..#......##....#.#...######.###.......#.#...##.##.....####.#.#....#.####.#..#.#####..........###.##.##.######.####.#.#.##.#.##.##..##...##.............#.###...##.####.....#..........########.#.###....#.#.#...#####.#......##..##.#########....#####.....###.#.......##...#####.######.###..#..##.#.#.#..#####.#####.###......####.##.##.#.........####.#..####.#.#.##....##.#.#####..##.##.##.###...#.###.#.#.##....#####.#.####.......##.#.##.#.##...##.#.##.#..##.#...##.#.#.#.#.#.#...##......#.#.###.####.#.###..##.....#.#####...##.##.#
#..#.##..........#.#.##.##...##############.####..#.....#####.#.####.#.##.#####.##.###.#####.#....#.##.#.#.#.#.#.#.####...#..#######...#.#.#.#####.####################...#.####.#####.######.##..#.#....#.......####.##....###.#.#......#.######.#.#.....###.....##.#.##.....###..##.###.###.##.#....####.###...###...#.#################.####.##..##.###.##........##...####.####.##.#..##.#####.#.##.#........#####.#.##..........##.####.#.#####.#...#.###......###.###.....###########.#.####.##.#.#.####.######.....#.##.#.#...#.#.......#.#.........#.#..#.#...##.#..#..#############.#...#.#.####.###.##...##.#.#.#.#........#.##########...#..#.#####.#.#....#####......#####...##..###.....###.#.#..##.##...###.##.....##.#.##......##..##....#.....##.#.##.##...####..####.####.#......##.####.#.#..##....####..#####.#.......###...#..........#####.......#.######.##..#.#..#..###.##....#.#.##..###............#.###.###.#####.#.###..##....####..#.###.....##..###.....#
##.#.#####.#######.#.....###.###........#...##...####.#####...#.##...#...........###...#.....###.##......#.......###.#..#.##...##....#.###.###.....#....................#.....##.#.##....##.#####.....#.##.#####...#...######...###.#.####........######.##.#####......#####.##...##..###.#......####..###...###...###.#.#####.##..#.#.#....#.#..##.#......#########.####.##...#..###..##.##.##......#..#.#.####.......#########.#.#....#.##.#.#.....#######.#.##.#.######..###...#.#.#.###.#.#.#######.#.#........########.########.....##.##...####.####...##.....#..#.#.#####..##...#.....###.#####.#......###.################.#..............#.##.#.#.############.###.##.#.....###.###..######.###.#.##....##.#####....#####.......####.#..##..##.#####.######..###.##.###.#.##############.##.#.#..#.##.#..##.##.##.#.#.#.###.##.##.###.####.##.####.##..#####...##..#...##.#.##.##.....#####...#..##.#.######.##.##.#.##....#.####..#...##..###.##..#.##.#.#.#.#.###..##.#####
##.###.######...#....#.#..####.######.#...#..###.##...##....#.#..###.#.#####.###.#########.#..##.#######.##.##.#.##..#########..####.#.#...#...#.#.########.#####.##.##.##.##.......##.#.##.....##.#.#########...#...#........#.#...###....##.#.####.######.......##.#....#####.#..####.####.#.#....#.##.##.##.#.#########......##.#.#.####.#.##.#....##.#..##.##....#....####.##.....##..######.#.#...##.###....####.##.........#.##.#...####.#####..#.#.#....#..#....#...###..###...........#.#.##.#....########..#..######.#...###########..#..##########.#########.#.....##..#####.#.###...#.##.#..##.#.#..#####.##............###.#.#.##.#.#.#.##......###.#.#.#.....####.#.#.#......#####.###......#..##.#..#.#.#.###.##.....#.#.######...###.##...#.#..#.#..####...#........#.#............#....####.##########...........#.####..#.....#.#####.###...#####..##.####.##.##.....#..#.#.#.......###.##.........#######.#..####.#....##.##.####...#..##.#......#######.##....#.###
#..##.....#.###...#.#######.#.....###.#.#.######..#########.####..##.#.##....##....#.......##..#.#.####...######.###.###.#.####.#....###.#.##.##########....##....##.#..##.#..##.##..##########.#..#####.##..######.#####.#.#.############.#..#.###.....#.##########.##.#...#.######.#..##.########....#.##.#..#..##.#..#..####.........#......#.##########....#####.####.#.##.#..#.#..##.#......####.###.####.#.##...#..###.##.#########.#.####.####.......##########.#####.##.###########.#...#....###.##........##.##..###.###...#####.....###.#.##...###.#.#.#.#...#####..##...#.#.###...#...##.#.########.#...#..##########.#.#...#.########.#.###.#.#..#......##.##..#...#####.##.#..###......###.#########............###########....###.#.######.#.##.#.#.####..#.########.....#.########.##.###.####.#.###.###.#####.##....#.##.#####...#.#.###.###.###.#.##..##.#.##.######...#######.##.#.....##########..#..#...##.#.##...#####.##.##...###.###.#.#######.#.#...#.##.#.#.#
##.#..###.#.#.##.####.........#.#.....#####..#...###..........##.###############.#...###.#.###..........#..#.##...................#.##...#.#..#..........#.####.#.#..##.##.##.#...#####.#.#.##..#####.#...##........##....#######.....##...######.##.##...............#####....#.#.#.##.....#.#.####.#........##.###.##.###############.####.###..##.##..###.#..#..######........###############.##.###.###.#..#.##.#.####...#..#............##.......#.#.#####.....##.##.##.#..#.#..#.#..#####.####.#....########..#.###.#.#.#####.....#.###.#......##.##.#.#.#.#.###.......#####.....########.##..#.#.##.#.#####.##.#..........###.#.#.##.##.#..#.#...#.##...#.##....###...####.#...####.....##.#.#...#...#.#.###.##.#.#######.##.#######.#.#.#..##.........#...##.##.####.###...###.#####.#.##....#.#.#.#..........####..#####.#......#.#.###.#.#.##...#..#.#....##......#...##.#..###.#.#.######.#####.###.##.##.##.###.........#####.#....####.##..#.#....#.##.....#.#...####...#
#..#####..........##..######################.##.##.#.#.#.#.#.###########.#####.###.#.#...###.##.##.#.#.###......#.#.##.#.#.#.####.#..##.##.##.##.#######.#.#....######...#.#..#.#####.#.#....##.#.#.#.##.####.#.##.#########.##.##.##....#.#.........###.##.#.#####.#####...##........#.#.#..........####.###.##.##..##.#.#.....#.##.....##...##.##..##.##.####.##..#.....#.###.########...##.##.##......##...#########.#..#.####.##########....#######.####..#####.##.#.....##...##.#.##..##.#.#..#.####..#.###.##.#..##.#...#.#####.#####.#.#.#.##..#.##.........#...####.##.#####.#...##.##...##.#.#.#..#..#.##..#...#.##.#.###...#####..#....####.#.#..##.##.#######.#.#.##.....#....##.#.###.####.####..........#####...........#.#.#......##.##########.###..#..#.#....#.######..##.......####.#.#.#.#######.#####...###.##.######...#.#.......####.##.#.###.########.###.##.##.###.....##.###.#.##..#.#.#......#...########.##.......#.##.##..##.#...##....###.#######.#.##.###
#####....#.#.##.###..##..##.##.#.####...#.#.....##.#########.####.##.#.#.#.....##..#.#.#.#.......###.###.######.#.#.##.#.######...##.##.############.....#.##.#.#......######.###.........##..#.#.....#...#.#########.#.............######.#.#########...######.....#.#...###..##.###...####.#.#.#.###.##.##......##.##.#.#####.#.#..###.##.#....###.##.##.##....##.#.###.#######.#.#..#.#.....#..######....#.#.#.##.#..######....#..........##.#....##.##.##.##.#..##.##.##.###.##..#.###.##.#.##....#.##.#..........##..###.....#.....##..#########......#.#####...####...##.#.######.##.....#........##.##...###...#.#.#..#..#######.###...####....#.##.#..##.#.........#.#..#.#.#.#######.##..#..###.###.#.#.#.####.########.###.#.#...####.....####.#.##...##.#.#######.#........##..##.##..........#.#.#..#..###...####...###.######.#.#####.#.............#..#.#.#.#.#...........###.#..........###.#.#.#.#.##.##.##.....#...#####.######.#..##....####.####.#.##.##...#.##...#
#.....##.#.#..###...####............###.#.###.#.#.....#.......##...........###....#########.#.#.#######.........#.#########.....#.#..##..##..#.#.....##.####..#.##.#.#..#.#...####.##.#.#####...#####.###...###...#.#.########.##.#.###....#######.....#..##.###.##.#...#.#...#####...###..###.#.####......######.......#.##......######....#.##......#.##..####.##.###.####...#......########.####..###.######...#..##..##.#########.#.#.#.##..##.#....#......#.##.##.##.#..#....##...#.#.......####......##########..##.#.#####.####.####..#.#.##...#.#########..####.###..#.#.#..#....########.####.##..#..#.#...#.#.#.#######.#.......##########.##.#..########.##.##.###########....##...##.###.........#.#.#.##....#.#.#...#.......###....###.........###......#.##.#....####.#.###.#..#..##.###.###...##.##.#.###.##.###.##.............#################.##...........#.####.####.#########.####...#.#.######.#...#####.#.###.##...#.#.#.##..#.##....#..##.....#..###...##.###
########.#.#.########....#####.####.##.....#..#.#.#.#...#.#.#.#..#########.##..##..#####....#.#.#..##...#####.#.#....##.#.####.####.##..####.....#.######.#..##########...#####.###########.###.###...#.##.##.###..............##.###.###.##.......#.#.#.##....###..###.#.##.##..#..#..###.########...##.#########.####.#.#######.##.....###########.##.##.##....##.##...##..#...#.##.#.##...#..##..##...###.####.##.#..##............#.#.#####.#..##.#.##.#.#.......#.##.##.####.####.#.#.##.##.##...####.#.......#..##..#.#...#.#.....##..##......#.#.##........##.....#..##.#.##.####.#.##.#.###.....##...################.##..#######..####......#..#####........###...##.##.#.##.#######..#.##..##.###.##.###.###.#...#.######.##.#.###.#.#####.###.##...#.#.##........#.##....#.#...##.##.#..#.....###.##....#.#.#.##.##...####.#.#.###.##..##.##...##......##.#############.....##..##.##.......#.#.#.#.##.#...#.###.#...#.##..##.###.#....##....##.####..#.#####.##...#.#....#
#####....#.#.#...###########.###.......###...##.#.#.#.#.#.######.#.........##.##..##.#...#.#######....###.#####.#.#.##.........#.....####..#####.###........##.##.#...#.#.#.....#.##.#.#............#..........#..#.#.##.#.##.##..##.......##.#.#.##.#.#.##.##.#################.#####.#...#....#...#.#..##.....#####.#...#.#.....####.###..###.#....##..#.###.#.##.##.#..####.#####....####.#.####....#.#...........##.######.#.##.#.#.###.....##.#..##############....###....#..#.#..#.#######..##.#####.#######...####.#.#.#...####.##..########.###..###############.##.##.#.##..#......#.#.#####.#..##.#####.##.#.#.##....##.##.#.###.#....#.##.##.##..#######.#####.##............##....##.#####..#....#####.#...#.#....###.########.#####.....##..##.#...#..##.##.##.#.###.###.#.#.#...####.#.#.#......####.#.#.#.#..###.##..###.#.#...##.##...###..######..####....#..##.###.#####....######.#####.#...##...#...#.#.###....##.##..##.##.###..#####...###.#...#.#..##.####.####
#.....##.#######....####.....#######.#...##.###.#.#.#.#.#...#######.#.##.#.#..#..##..#######.###.#######..#.....#.#..####.##.#.##.##.###..####.########.#.#.#.....###.#########........################.#.##.#...#######.#.#...##########.##########.#.#..####.#.......#.#.##.#....#.#####...##.###.####.###.##.#.#.....#...#####.#.#####..##.....##....##...###.#..#####.#.#####.#####..###.#....######.###.#.##.##..#........#.#..#.#.#...#.#.#..##.##...........##.#..#..##.##.#...##.##.##...#####......#.#....#........#####...#.....##........##..##.###.#.##.##............##.######...........##....#.#.#.#.......####.#...#.#...#...##.###########.##.#.##.##.#..###.#.#.#.#.######.#####.##..###.#####.#######.####......#..#.#...#.####.#.#..###.##.###..####.#..###.####..#.####.##....##########.##.....#.#.##.#.#..##.#########.#..###.###..##..##..##..####...###..#.....#####.#.#.##...##..##.########.##.....#.#####..#.###......##.#.#.##.##.####.##.#.##...##.....#
####.##....##.####.##..#####.#.......#.####.#.#########.##.##.#.#.#####..#.#########.###......#...#..#.##.###.#.#.#.##....#..#.##.#..#.##.##....##.#.##.#.#####.#...#.##.##...###.#.#.##.#.#.##.........###..#.#.##......#.##.##...#.#.....#.#.#.#.#####.###.....#.#.#..........##.#.##.#..#.#.......#.#..#####...#####.#.#.........#.#.##..###.#.#..##.#..####..#.##.##..#...#.#.#.#.#.##...##.###.########.#.######...#.##.###.##.#.#.#.#.###.##.##.########.#.#..####.#####....###.##.##.####.####..####...##.#.##.#.###....####.##.##..####.###.#####......#.....####.#.#.###....#.##.##.##############.#.#...###.##.##.#....#...#.#.##########....#............##.####.#####.######.#....##......######.#....##...###....####.##.#.###......########.######...##....##.##.....##.#.##....##.#..#.#.###.#..##.##........#.#.##..#.##.#......##...#.##.###.###..##..#####.#.##.##.##.#.###.#.#.##.#####.##..##..#....#####.#..##.##...#.###.####..#....###...#.#..#.#..##.##..###.#
#.##########...#....##.##......##.##.###.#.....##..#.#######....#.####..##.#...###.#.#.######.###.##...#......###.#..##.####.#..######.##.#####..#.#.#######.##.###.......###..##.#.#.........##.#.##.#.#...##.#..##.#.#.#.#...###.#...##.##.............##..#.#.#.#.##.#.#.#.#.##........########.###.####.#.###.##....#.#.#.#.#.#........##.#########.##.##.##.#.##.###.###.#.#.......##.#....#.#....###...#.#......#.##########..#########....######........#.##.......##.####.........#.#.#...##..##.####.######..######.#.......#.#..##.####...#.##..####...###......#.#...##.#.......#####.####.........###...#.#.....##.#.##.##.#....#..##.####.#####.####.####.##....#.####........##.#..#.####.#.##.####.###.####.#.###........#...#.##..#.##.##.##..####..###.#####..###....#.###.#########.........#####..#.#.##...#..##.#.#..######..###............##.#..##.#........##..###.#............#.#.###..##.###.##.#.....###.#..#.#..#.....##...##...##.##.##.....###.###..####
#..........###.##.#.......####.##..###.....#.#.###...#.#.######.....#..#######............##..##.....#...#.#.##...#.##...##..##.#..###.##.#.####.....#.##.....###.######.##.#.###########.###.###########.#..####.#..#.#.####.##.....#..#.###.#.#.######.##.##.###.#.######.#.##########.##.#.#....#....#............######.#########.####.##.##.##.#.............................#.#.#....#.##...###.##...#.#######.#####.....#######.##.....######.########.##.###.####.#.......#####.#.....###..####...#.#.#.##...##....####.#.##.####.#....####.#....###...######.#.#.################.##.......#########.##..######.#.########..######.#.##..#....###.#.#######.#.#####.#..#####.#.#.#############.#.#...........#....###...######.###.#.###..........##..#.######.##.#########.####.#########.###.###.#..#.#########..#...##....#.##.#####..##.##########.##.##.##.########..##..#..##.###.###.###.#..##.##..#.#.#..#####.##..##.####.#.######.#.###.##......#.#####.....##....#
#####.##.#........##.#.####....##.##...###.#.###...#.......#..#.###...###..###.##.#.##.##.###....#.#.###.#.#..#.#####..#..##.#####............######.#..#####..#...##..........#.#.#......###.#..##.########.##.########..#.######.#.##.#.#...######.#...##.#..##..#.#......####.#########......#######...#.###.####.#......#..#.#.#####..............#.########.##.####.#.####.#.#.#.##.#.#..###........#.####......#.....###....#..#..########.#....#........###.#.#......##.#.##.....#.#.#.#.##.#.#..#........#########..########.##.....####..#####.##...###....##########.#.#..........####.####.#.......###.#.##.###.#.####.##..#.......###.###.##.#...#..#.......#..#...##.###.#####.###...........#########.#...#.#####.##..........#..######.##.#..##.#..###...#....###..#####...##..##.#...#########.#..##..#.#..###.######.#.##.#...##....##.#####.#.##.#.........##.#.##..##.######..##..#.#.#.##..#..##.#.#.##......##.....##...........###.#######.#.....#####.###..####
#.....#####.###.#..#####.###.#.#...###.##..#.##..#.##.#.##.##...##..#.#.#.##....#.#.#..#......##.#.#.#...####.#.##....##.#####.#.##.#.#.#.###........#.##.#.##.###....###.###.##.#.####.#.#.....##....#.##.###..###.#.#..##..##.##.######.######.#.....#.####.####.#.##.###.###.........#..#.#.##.......##########.###########.#.......##.#.#.##.#.#.##.##.......#########.#....#.#.########.######.#.#.##.##.#####.####.#.##..##.##.##.##.........##.###.###.##.....#.#######.####.##.##.###........##########.####.....##..#.#........###..##..###.######.#######.##.#.##.#..#.####.#.#.#.............####.##.#.#.#..#.....#.#..###...#.###..##.#......######.#######.##.##.###.#.###..##.#.###########.#.....############.....##.#.#####.#.##.#.....#.##......##.########.#.##...#.###.##.##....#.......#.#.##.###.#...###...##.#....##.#.#..###.##..........##.#####.#.#.......##.##.##...#.####........##.##.##......######.#####.######.###.#.####..####.###.#####.##..#.##.#.##
#.##.##.....#...####..##.#...#######...###.#####.########.....#.#..####.#.#..#.#########.###########.###.##...#.###.#..#.##.........#.#.###...####.#............###.###...##............#.##.##.#####.#.##..###.........####..#..#####.##.#........##.##.#....##.#.#.#..#...#.#.##.#.##...#########.#####..........###...##....#####.#....#.#..###.#.#..#..###.#.#.........######.#.#.....#..#......######.##.......#.######..##........#######.#.###.....##...#.#.#.####.##...#..#.####..##..#.####............##.####.##..##.#######.####.##..##.#..##.##.#...#.#..#.#..#.##....#######.################........#.##.#####.#.#.##.##.####...###.##.###...##.#.##..###.......##.....###.......##.#.#####...#.#....#..##.#...#.############.####...#.###########.##....###.#....###.............##.###.###........#.#.###.#...#....####.#..#.##.....#..####.#.#.......#######.###.##..##..###...#..#####.####...#..####.###.#.##..#.##.#.#..#.#.######.##..##...##..#.#...##.........#
#.##.###.##.##.###.##......#..##.....###.....#.####.##....###.###.##.##.....##.##........#......##...#....###.###...##.#.##.#.###.#############....#.#.#.#.####.....#...#.#..##.###.#.#.#..###..........##.##.#####.##.##..##...##......#######.##.#..##.##.#.##...#.#.##.###....###.###.####.##########..##.#.#.#...###..####..##...#.##.#.######.#########...#####.#.#.#.##.....#####.#...####.##.##.....###.###.##..##.#####..###.##...#####.#.#.###.#.#..#.#######.......####.###.###.###.######.######.#.#....##.#.#..##...##..####.......###.#.##..######.#.##.#.##.#.####.##..#.##.##...........#.##.####.##.#..##.##...........#....#.....######.#.#....###.#.###.###..#####...#####.#....#.#.....#.######.##..#.###.#..##..........##.###.###..#....#.#..##.#..#..###.##.##.#########.#####...######.###.#.#.#.####.###.#..#...#.############.#....#.####.####.#.#.#.#......####...#.###.##......##..#...####..#.#......##.##...##.#.#.##.#.#..##.##.###..##.##.##..##.######
######.####.#..#......##.#.##..#######...#.###.###..#..#.######...##....##.##..######.#.###.###....###.#.##...##..#.#..#.#..########...##.......#.##########....###.###.###.##..##..#.######...###.####....#..##.#########....#..##.###..##.######.##.##.####..##.######..#...#.##...#....##...##.##...##.#..#.#.#.#.#.##.#.###..##############.....##...####.##.....#.###..###.#.##.####.#..##..#...##.##...####...##.....###..##...####.......#.#.....#.##.######.###########............##.##.....###.####.##.#.##.....#####.#..##.######.###.#....##.#.#.#.....#...........#..##....######.##.#.##...##.#.....#.##.##..#########.#.#.########...#..###.####.#.#.#.########.#.###.####..######.#.#####.#.##......##.......#.##..#.###.##.##..#######...##.....######.##.#.#.##.#####..##..####.###.##......##......#.######...##...#.#..##......#.########.#.....#.#.#.....####.#.##...###.###..##.###..#.####..#.##.#.######.##..##.##...........#.##.........###.##....##########
###.........##.######.##.#.#####.#.####.##.#...#.##.#######..########.###..###.#..#####.#...#...#.##...#.####..#.#####.#.##.#....#.###.######.#.###.#.#########...####..##..###..##.###..#####.#####.#####.##.#...##..#..#######.#####..##..#.#....####..#....########...################.#..#..#..###.#############.........###.#.##.##.#.##...##.#####......##.#.#####...##...#.#.......########.###..#..####...#..##.##.#...####.##.#..#.#.###.##.#.####...##.#....####......#.##.##.##..#.#..#####.#....######.######.##....##.#...###....##.####.##.#...#####.###########.#.#####.##......##.#.#..#....#.#.#....#.#..####..##.########.....###.##..#....#..........##.....#.#....##..###.#...........#.##.#.##....####.##.###.#####..#####...##.######..###....##..........#.#.#.##..##..#...#.#########.#..####.#.#.#.########.##.#.######.#...##...###.###.#.....############..#.#..####.##.####.##.####.##.#.##...##.#.#.##.##...##.##########.###.###.####.#....########....#
#.######.##.####......##.#.#.......#.....#.###..............##..........####...##...###.#.#.#.########.#..##..##.#...###..####.#...#.#.#....###.##.....#.#.##...#.#....####.#...########.......#..............##.####...##.#.##...##.##.###.#.######.###.####...##.#.########.........###.#.###.#.##...#......#.##...#.#####..................#..###.....##.#..######.###.###.#.#.##.###.##..........#####..##..####.#..#....#....###....######...##.#.#....####.####......##.#.#.#..##..####.##..##...#.#####.#....#.##..#####.#....###.####.##.#.#..#..###.#........#.#.#.##...##.....######.#..####.#.#.#########.#.##.#..##.##.##..##.#####.#.#.###.####.###.##.#.#..#####.#.##.#..##..#..#############.#..#################...#.....##.....#......#.#..#######....##.####.##.#.#..##.###.###.#..##...#.#######.....#.#..###...#.#..#...##.#.###..###.#.###.####.##.#.##.##......#####..##...#.#.#......##..##.#.##.#....#.#.##..###..#.##.#..#.##.#.#.######...#.##...#.##...####
#..#.########.#######..#.#.##.#.##...##.####.###.###.######.########.##.#....#.####.....########.#.##..##..##..#.#.#.#######.#####.....####.#####..#.#........#####.#.##.####.####.....######.######.##.#.#.#.........###.......#.............##..#..#.##########.....###.#.#####.#.#...###.#........#.###.##......######....##.####.#.##.##.##.#######.#########.#.......##..#.#.#..#....####.###.####..##..##.#....######.##.########.###..###.#############......##.##.#####.####..#.##....########.....#.#.####...###.#.##....##.............#.##.##..#..########...#.#..###.###.#.##.#.########.#######.#.......#.#..##..#.##.#..##....#.#.....#.#.#.#......#..####..##........##....##.###......#######.###.##.##...###.#########.##############.....##...##..#.#####....#....##.##.#...###.##.#..#....#.##.#####.....##.###.####...####.###.#.##......#....#####.#.##.#######..##.#.#####.#.#.#####.##..##..#.#####.#...#.#..##.#.##.##.#.##..#.#......#.##.####..#...##.######
##...#..#.###.........######..###..#.#####.......#...###.#...........##.###.##.#....#.###.............###.##..######...##.#....####.##.........#..#####.#.#.#...########..#...#..#####.#.#.#..#..##..#..#.#.#.#.#.###.#...##.##.########.####..##.##....##..##..#####.#...#..##.#######...############.###..##.#.#.#......#.######...#.##########.......####.##.#.####.##..##.########.#.###.###......##..#.###.##.###......#####.#.##..#.##.....#..#####.##.###.##..#.##.#.#...#..##.#.#######.#.##.###.###......###........##.###..#.#.##.#.##...#..###...####.#.####...##.###..####.##.#..##..#.#.#####...#####.#.....####.#.#..##.#####.....###.......##.#.#.####..##....#.#.#.######.##.##..#.##.....######......###.#.#.#.....######..####.##....#.#..###..##.###..#####.####.#..#..###.#....#.#######......####..#.###......###..#...#...#.....#.####.###.##.#.#.#.#...####.#.###.#...##....#.......#..####.#..##.#####...#.##.....#.#.....##.....####.#..#..##..##.####......#
####.##.#.#.######.##.#..#########.###.#.#######.#.#.#.....#######.#..#..#####.#.#.###########.######.##..###.#.#.####.##.###.##....##.#######.#.##.#...###.##.##.##...##.###.##...........#####....###.############....###..######......#....##...####....##..##.##....#...##...#.##...####...............############.#####......#.#.#......###.###.#..##............##.##..##.#.##..#.##..###.#.#.####...#...##.#...#.#.##........####..###.#.##..#.#.........###...#....###.##....#.#..#.#........#..#.######.##########....##..##.###########.##.#...#........#.####.#......##.#...#.##..##.#.#...#.###..##.#######.##.#.....##...#..########..##.##....#.#######..#.##.#.#####.#.......##.#######.#.#..#.##.#.#.........#.###....#.##.......##.########.#.########.......#.##.##.#.##...#.##....##...#.###.##..####.#.######.#.######.###...###.###.##.##..#..#.......#............#.#######.#######.##...#..#.###..#.#..###.###.##...#.#####..#####.#####.##....###..##..#.####
##.#.##.#.#.###.....###.##.#.##....##............#########.#...##..#.##.##.#...#.#.#......#.#..#.......##.#...#.....#..........##.###..#.........#....#...#.##.##.####.....#..############.....#.#.#######.#.#.##....####...##.#....##.######.####...##.##..##.#..#########..###.#..###.#.#..#.#.##.##.###...##.#.#...####.###.#.###.#.##.###.....#...#.###.#.#.#.##.#.##.#..##.......######.....###.##...#.#.#.#..#.#.###.########.##.#..##...#.###.....####.##.#...####.####...##.###.##...########.##.....................#.#######.##......###.#....#.#.#.#.##..........####..#.###...##.##....###....##.##..###...#.##...###.####.#.##.####.####..#..#.##.##....##...#..###.......##.##..###.#..##.####.#..######.#.##.#.########...#..####.########.##..#..##...##.#####....#.......##.########....######...##.#.##.#.##.##..#.#.#.#...######.#.##......##.##.###.##.##.#.##.#####.#...#.#.#.#..#.....###.##.....##.#.##..##..#####.###.....##...##...##.#.##.##...####..##....#
#..#.#..#.#.#.##.##.#...#.......##.######.##.#.#.##........#.#....##.##.##...#.##########.....######.#..#####.#.###.##########..#####.####.###.#.######.#.#.#####......#.#...##.#..#.#.....###.###...##...........######..#.#....##..####........###..#.#..###.##.#.#.######.#.#.##.#.#.#.##.#########.#...###....#.#..##...#..#.##..#..###...#.#.##.####...#.###.##.#############.####.#....#.###...#############.#.#######.##.#........#########...#.#.##############.###..#########..##.#.............##.######.#######.#.###........######.#.....##.#.##############.#####.##.#..####.....####.##..##.##..#.##.###......####...#.#...##.........##.###########.#....####.################.##..##..#.##...##..#.##########..#....####.######.....##.#...##...#####.#####.#####.###.#.#....#.#.#....##...##...#....#......##.###.#.#.#.##.##..###......####...........##..########.....##.##.#...##.###.#.###.#####.##..#.#..####.#.##...##.#####..####.###..#.#...#.###..#.########
##.#.##...........#####...##########.###..#..#.#.#..#####.##.##.#.##.##.#..#######...#####.##.#..##########...#####..........##..##.###.####...###..##..#.###.#.####.#.#.#.####.##...#######.......###..#.##.###.##......#####.###..###.#######.##.#.#####..#.....#.#...#.................#####.##.#.####.##.####...##....#...########.####.###.#..###.####.#.##..##.##.....#..#...##...###.##...#.#.#..##.#.#.##..####...#.......######..##..#..##.######...#.###......####.##...##.############.##.#.#..###......###.....#..####.#.#.#####.#.###.#.#..###....#.#...#...#........#.##..#####.#.#..##.###..##.#.#..###.#.#####.###.#.##.####.#.###.#####.#.#..#..####.####.#.#..#.......##.#..##.####....###..##....#.#.#..###.####..##..#.#..#####.#....#..###.#..##.#.#.........#.########.......#.#####..##.#####.###.##.##.#...#.#...##..##.#.########.#..#.###.#.#.##.###.##.###.##.....#.###........#.....#.#.#..##.#.##..##..#..###.##..##.##.##.#.#.##.#.#.#####.##...#.##..##
#.......####.#.#####.##.###......#...#...###.#.#.######...##.#..#..#..#.#####.##.###.......#####.#.#..#.#.#######.######.#.#..##.#...........######....##.###.#......########.#.####.#########.###...####..#############.#.....#...##...#.#.#........#.#.##.#####...###.###############.###.#.........#.####.##.#######.#.###.#.#...####.....##.#####.......#..##.#...##.##.##.########......##.##.#.##....#.#..#####.###...#####.##.....####.#.#####.#.####...#.####.#....#..##.##...###.........#..#.#.##...#.#.##...##.##.##....#.#.#...........#.##..#####.#.###...########.#...###..##.#.#.#.#####.#.###.#.#.##.###.#..............##.#####.#.##.#....##.#.##..#####....##...#.###.##.##.##.##.###.##.##..####...#.#.##....#.##.###.#.##.#.###.####.##.......##..#.#########....##...######.#.###..#..##..#...#.#.####......#...###.##.##.....#####.....################......####..###.#.#.#.##.##.######.#.#...##..#.##.####.##.##..###.#...#.##.#...##.#.#...###.#..###..##..#
###.#####....#.#........########.###...#.##..#.#.###..#########.##.##.######.......#####.###.......##.#.#.##.##.#.#....######.#....#############.#..#.###.#...###.#####.#.#......###........#....##.##....##.............##.#.#########.......#.####.#.#.##.##..###..........##..........##.###.#.#.#.#..#......#.###.#.#######.###...####.#.####.....#.#.######..#.#..###............#.#.#.############.#...##.........#.#.#.....#..#.#..##..#.#.##.......###.#.#.#######.#.##...###...########.###.#################.##.##.###.#.###.##.#.##.#.#.#.#..##.........######.#.##..##.##.##.#..........##.....#.......#.#####.####.#######.##.##.#....##.#.##....#.###..#....##.#########.....#..##.#..#.#.#..###...####.#.#.#####....#.......#..............#####.#..##.#.##.#.#.###.#.####.....#########.##..######......#.####.#.#.#........#####.##...###.###.##........###..##.#..##..##...#...#########..........#..#.##..#.#.#......##..#..#.###......#.##.....###.#.#.####.##..##
#...#.....#.######.##.###............#.#.##.##.###.#.####...#.###...#####....###.#..##...######.##.##.#.#..#..#.#.####.##.##....#.##...##.#.##.#.##.#...#####...#####.......#.##.....#.####...##..################.##.#.##..#.#..###.############........##.###.############....#######.###..########.##.####.#.........#...........#..#.#.###....###.#.####.#.#######.#######.######...######.##.#.########....#.#.###...#######.#.#####..##.#...########.##....#.#.#........###..####.##########...#.................#..##.#...#.###############.#.#.######.####...........##.#..##.#....#.##.###.######...###.#......####.######.###.##.#..####.......##.#.#..###.##.#.####.#.#.#.#####.##.##.##.#...##.#.##.##..........######.#######.###.##.################.#.............###....####.##..###.#.....##.#.#..#.##....#.###.####.##.##..##.#.####..##.#......#.####.#.##..###.#########.###.##..#..##.#.#.#######....##.....#.####.###.#.##.#.#.##########.##............#..#.###
#.#.#.##.####.#.##.#..########.#.###.###..#######.......###.......#.###.######.#.##....#.#.##...#...#.#.##.##...#.#.##.#...##.#.#.#..#......##......##.###..###..##...#.#.#.###..#.#.#.#....#.##.##.................#.#..#######...........###########.#......#.#.##..####.##.#######.#.#.#.##.#.##......#.#####.#.#.##.##.#.#.##.#.##.......###.##...#.#.......####.###.#.#####.#....#.##.#.#.......##.#.#####.###.#########.#...###...##.#..##.##.###....#####.#.....#####.##.##...##............##########.#####.##.#############.##..#.##.#.####.###.#..################.#####....###.##.##.###..###...#.#...######.#.#...##....#...##.##...##.##.#######.##.#...######.##.#.#................#.###.##.#.#...#########.##.#............#.######.....##.....#.#.######.####.#.####.#.......#.##...#####.##.#.##.#.###.#...######.###..###.#.....###.##..#.##.#######....#####...#.#.##.#......###.##.##########.#.###.#####.#####.#..#.#.#.#........###..##...##.#.##.#.####.##...#
########.#.........##.#.##.....#.#....##.##.......#.#.#..#..#.#.#.#.#............#..#.####..###.###.........###.#.#.#....#....#.####.##.#.#....#.##.##.#.##..###..#############.######.#.##.#.#...###.##.#.#######.##.####...#.#.#.#.###.#....#.#.##.###.####...#.###.........##.............#....######.........###.#..#..#.#.####..##.#.####.###..#.####.###.##.#...#.......#..########....#######.#.....##.#####.#...........#.#####....##.##.#....####.........##.##...#.......#..#########.##.##.........###...##.#...#..###.#...##..........##.#...##........###........###..##..#...###..#...##.###.###.#.#..........#..####...#.......####..#####........###.#.#.#...#.#.############.###............###.#.###........############....#.#...#.#....###.....#.##.###....#.#.##.####.##.#.#..###.#...##....#.###.#####......#.###.##.#.####.##.#.###########.#..####.#...###..........#.##...#.#....##.......#.#.#.##..#.#.##....##...#...####.###...##..#..########..#.#.##.###
##.#.##..##.##.###.####.############.##...#.#.##.####.##...##.###.#.##.#.##.#.#.##.####.###.#####...#######.##....#.##.#.##.#.#.##...#..#.##.#.####.####.###..###.##.##..##.....#......#.##.#.#####.#########.##.####.#....#.....#########.##........##..##...#...#...#.##.##.###.##.#.##.##.####.##.#...#.#####...###.##.##.###.######.#.##...##..#####.###.#.##.###...##.##.##.#.#..######.####..#.#####.##..##.#################.#.####.........##......##.#.##.#######.#.##.##.##..#.##.#.######..#.###.#.#...#..#####.##...#...#..#####.##.#..#####.####.#.#.##.####.###.#.##..##...###...####........#...#.##.##.####.#.###...########.###.#.###..########.#.#.#...###.#...#.###.#########..#.#.######...........#.#.##.##...##......##...#######.##########.#.##..#######...####....#....##.#.#.###.#####.#####.##.#######.#.#.####........##.#.#.#..##.....##.#.##.#.########.##.####..###...##.#..###.#.#........##...#.#####..##.##.###.##..##.###..###..#.##.#####.#.#....#
#.......##...#######.#...#.##...#.##..##.#########.#..#..#..###...######..###.######.#......#.#####..##.....#####...#########.#.#######.####.#.#....#.#....#.##.#.#...##..###########.##.########.#..#..#.#......###..########.#.##.........##.#####....#####.#.#...#.#######..#######.#..##.#.........#.#.#.....#.##..##..###..........###..#..####...........##..##.######.......#.##...#..#..##...#.##...##.#...#.##.#.###.##.#.........#.##.##..##.#.###########.#.#......###...##.#.#.....##..##.#.##..#.#.###.##.....####.######.###...#####..#.#.......#.#....#.#####.......####.##.#####.####.#.##.##.##.####..#..###.#.######........#..#.#...###....##.....###...#.###.#..........##.##.#.#.#......#.##.####.#####...###....#########.#.##.#####...#.#........##...#####.#..#########....#.#.#.#.#.##............####.#.....##...######......#.##..####.##.......#...#.####.#..###..##...#..#.####.########.###..###.#..##.##.##..#......####....##...#.##......###.#.#.####
##.#.##..#####.........#......#......##...##.#.....#.######.#...####.#...##...#........##.#...#.....##..###..#.####.#.#.####..#.#.......###..#.###.##.####...#......#####...#.##.######..#.#.##...##.##.....##.#...#####.##....#.#..####.#############.##.....#.##.####.....####.......####....###.#.########.#.##################.##.#.##..##.##..####.######.##.######...######.##..###.##...#####....###.#..###.#.#.............#.#.##.##################.#.##.#....####.#########....####.##..#####..##.##############...#...#.#...#.###.#...##...###########.##...#.#...##.#####.#.##.#.##..#.#######.##..###..#####.......##.#.######.#...######.#.####....###.#.###.#.......#.#.##.#.......##################.####.####.....##.####.............#.###.....#.#.##..###.........##..##.#.####.......#.#..########.###......#####.#######..#######....##.#.....#######.##.##.#..###.##.######.###....##...#.#..####.#.##.....###.##.###...##.#.###..#####.#####..######.#.....#.##
#..########..##.######.##.##.###.#.#####.##....###...#.###..###.#......######.#######.#######...###..##.#.##.#.#.#.......##..##.####.#.##.##.####..##.#....#.######.##.#..#.#.........####.#..#.#.......###.#..###.#.##.....#.##.####....#.........###.######.#.##..#######.#######.#.#####.##.##..####.#.#.#.###...###............#..#.##.###.##.##.#######.#.##.##.#.##.##.#.......##.#.####.#.###.##...#.#.##.....######.#.#.##.#.######.##.#..###...##.#....#.####.#.##.##..#...##.###....###..#.###.########.###.#.####.###.#.###....######....#..........#..##.#.....#.#..#.....#.#..#.#..##...#.#.#########.##.#.######.##...........##.##.##...#.#....####.#.#.###.####################.#.##.##..#.##.#.##.#..##...######.##..#....#.#.#.#.###.#.#####.#.#######.#.#.##.##.#..##.#....#.#..#####...##.##.#.#...#.#####.##..#....#.#.##..#....####.##.#####.##.........##...#######...#..###.##.#..###.#.##.#.##.#.####.####...#...#.####.###.#.##.#.#.#.##..###.#.#.#.#####..#
##.#......##.#..##.....####....#.#.##.##############.#.....######.#.##.##.....#.......##.#.###.##...#####.#......#######.#############.##....#....###...##.#.........#.####...#.#.##.##.#..##.#####.##.###..##.##....#####################.##.#.##......##....#.#..##...........#######.....##.##.##............###.....#######.#########..#...##..#..###............#.##.##.###.#.#......#.#..#.#.####.#.....######..#.#.###.#.######.......#.##...###......##..............##.###.#...#####..#..##...###....#.#.#.#..............#.####.#.#....######.##.#.#...######.##.##########.####...#.#####.....###.##.....#.#.#...##..###########.#..#...###.#.#######...........#.#....#.##..........###...##.............###.#....#....#####.#.##########..#.#.########.#.##.#...########....####.....##..##.####.##.#...#.#........##...##.....###...##.........#..#.....###.#.#..###.##.##.###.#.##....####.###..............#.#..#.###.#.###.##.###.....##.#.#....#.##.#.#.......##..##
#..##.###.##...####.##...###.#.#####..#.#.##..#......##.#.##......###########.##.###.##........#..####.#....##.#..........###.##........##.#.#.#.##...#.#########.##........#.######....##.##.##....#####..###.##.##.#.#.....#.###..#.#.####..#.#..#.#.##..##.####.##########.#....#.#..#.#.##.#..####.#.#.#.#############......##.....##.##.#..##.#.##.############...#..#..#.##########...##.#.#.##...#####..##.###...#.#######.#.########......###.##.#.#.######.#.###.####....#...#..#.##.##.##..#.#...##.#.....##########.#.#....#.#...######...##########.###.#...#..#...#.#.#...#.###...#.#.#####...#.######.....###....##.####.#..####.###.#.#.#.##.##.###.#.#.#.#...####.#..######.##.######....##.###.####.#.####.#...#.##.#...####.#.#.#.##...#.#.###...........#.#......##.#.#.#..##.####.#...#.#.##.###########.##.##.#.#..#.#..########.###.##.##.##.##.##..####.###.#..##.##..#.#####.##...#.###.#.#.######.#.##.#.##....##..##..###.#####...#.####........##.##.###..#
#.######.....###.#..#..#..##.#.##....##.#.###...#.##..#####..#.#.##...........##..###########.######...##.#.##.##.#.####.##.#.####.#.#.##..##########.#.#.........##.#.#.##.####.#.####.#..##.#######.#...##...##.##.....###.#.#.##.....#.#..#####.#.#####.##.##.#.#........####.#.....##.#.#####..##..#.###..#.#.##.###.#####.####.##.....####.........#.####.....###.##.##.#.####.#######....#.#..######.##.###..####.....##.##....#.#.#...##.#.#.#.####.###......#.##..#....##...####.......#..##.#######..###.#...#.###########.#.....#..#.#####..###.#.#.###.#.##.###.#.#...#.###...##..#.#...#..####.#.#.#.####.#.######.........##..##........#.#.##.##.#.###########..##....##..########..#.###.#####...#....#.#..#########..######.........####.#.#.#.#######.#.#.#.#.####....#.....#####......#........####.#.#....#...######.#.##..........##..#.....#########.###..#.#.#.##..###.#..##.#.#..#...#########....#....#.#..##.###..###.##...#...#.#.#..#.#.##############.#.##
#.#......#.#.#.....##.###.#..#######..........#.#.#..###..###################.#..##............###.###....#..########.##.......##..#######.#....#.#...#.####.#.#.##########.#.......#...##.#..#.#.....##.##########..######.......###.#.....###....#...##..#..#....##.##.##...######.########..##.########...##................#.###############.####.#......####.##.#.......#.#.#..#....#..##...#.##..##.......#.##.######.....#.##...#...#.#..#.....#.#########.#.#.###.########.###...#.###...##...#.#.#..##.#####.#.#....##.#.######.###.....#...##.#.#.#.##.......#.#######.......#....##.###.#.##.##.#.......####.#....#.##.#.##.###....####.#...#.#..##....#.#.#.#....######.#..##..##..##....#..##.#..######.#.##..#.##..###.##.#.#########.#.#........#..#....#.###.####...##.#.#.###.....#.#####.#.#.#......#.####.###..#.#.#######.##.###.####.#.##.##.#.#######.##.#.#.#..##.#.#.#.##....#.####.#..#......##...##.....##..###.##.#..##.##.#####...##.#...#.#.##.##.##....#
#.#.##.#.###.#.#.#.##.##..#####.#.###.#####.#.#.#.##.#...####...##.###.....#######..#.##.####.##...#####.##.##...........#####..#####.##.######.....#.#.#....#.###....#.#.#.##.####...#....##.#.#####.##..#.####....#####.######.##...##.##.#.####.##.####.#.##.#.##########.##..######.##.#..##..##.##.####.#########.#.#.###.#.#.####.##.#.#.#########.###.#....#..#####.#...#.##.####...#####.#.###.########.#.#......######.######...###.########...#.##......#####.####.......#.##.########.####.#.#.##.##..##.....####.#..#.##...#########.###..........#..#.#####.##......#.##.###.###...#.......#..#######.#.#....##....#####......#.##....###.#.##..####.#.#.....##.##.##..##.###....######...###.####......#..##.#..##........#.#.#....#....##.#####.##.######.##..##...#..#####.#...###.#.###...#.#####.##....#.######.#.#.##.##.######......#####..##.#.#.##.#.......#.##.#.........###.####.##.##.################.####.##.#....#.##.......##..#......#.........#.###.###
#.#.####.#...#####..#.#######.........##....#.#.#.#..###....###..#.#.#####.#.##....###############...#...#..######.##.#########.#.##......#.#.####.#########.########.....#######...####.#....#.##....#..##....##.#.##......#.......#.##.##.#..########.#########.##.........#..##.........##....##.......####.........#.###...#....##.....#.#.###..##...#...####.##.......###......##.###.#............#.....#...######..####...#.#...#.#######.#....#....###.#.###.##.##...#######..####........#.#.#...#..###..###.#......##.#..###.##.#......#.##########.#######.##.#..##.###.#####..#####...#.###.#.###.#.#......#.##..#####.#..#.#.##########.....##.###...#...#.#.#......##....#.####.#.#....####...########.#.##..##....#.#.##...#.####.####.####..##.#..##.....#############.....##.##...###.#.#.#####...#####.#.###.#....#.##..#.....#####.####.###....#.#.#....##.##....#.###.####.####..##.....##.##..###.#.........##.......####.#..#.#.#.##.##.#.#.########.#.........#
#.#..######.###.#..####.##..###.##.#.##..#.##.#############..##.##....#....#..######.#.......##.####.###.#.##......#..#.........#.##.#.##........#####.#.....###.##.###.#..#.##.######.######....##.#...######....###..#.##...##.####.####..#.##..#.###..###.......#.#######.##.##########.#####.###.####....###.###.#.############..#####...#.#.##.###.####.........#.##.#########.##.##########.#####.#.###.##.##.#.##.##..###.#.#######.......######.##..#..###......#..######.###......######.#...###.##..###.######.###......##....#.######.....##.#.......#.##..##.###########.#.####.....#.###.....##......####.#.###.##......##.#.#.......######.##.#.###.#######.##.###..####.#..##....#.#.##....#...#.#.##....##.#####.###..###....##..####.#.###.##.##..#.##.##..#.#........###.#######.#...#####...#####.###.........##...###.#####...#####.#....#.##.......##.#######.##...####.#.##.##.######..#.###...#.##.######.###.####.###..#.#########.####.###.##...#.#.#.#.#.#.#
###.##......#.....##.....##..#######..####.##.#####.........##...####.####...##.##.....#.#.#..........##.######.#.##.###.##.###.#.##############.####..#######.#.#......##..............#...##.###..#.####.....####...##.##.#.##.#....#.#####.##.##.#.##...####.########..##.##..###.......#.##....########.##.###...#####........##.#.#.###......#.#.###.#######.##.###..#.........##.#.##.###.#..##...#.#...............##.##....##.######.###.#.########...#####.#.#...##........########.##...###........##.....##.####..####.#####.#.....####.#.##.#######....##....#.#.....##....#..##.#.##.###.###..######.#....###.####.####.##.####.##.#..##.#..##.#.#...##.#.####..#...##.#..#.######.#############.....###.####.#.########.#####.####.#....#.#.#.#...##.########.....#.#.######.#.......#.#.##.####.#.##....##.#.##.#.#..#......###..###..##.####....#.#.######.#.....#.##.####........##.#.#.###.....###...####......#.#...####.##.#...##..##....######....#########.###.#
###########.#.#.#..#####....##.#.###.###....###.#.##.######.#..###......####.#..##.###.############.#....##.#...#..#######..#.....#.#.##.##........#..##...........#.#.####.#####.#####.###.#....##.####.##.#.#######.#..##########.###.#.##...........##.##.#####..##.#.##...#.##.#######.#..####.#........##.#####.##....###.##..........######......#..........#....##########.#..#.#.#........#####.######.#.###.##.#.##..####.#...#.....##........#....#.#...#############.#.#..#.#........#.#.########..###.###...#.#####.#.#.###.#####......#.##.....#...##....##.#.###.#....##...#####.#..#...#...##.##.#########.....#.##...####..####.##.#....##....###.##.#.#.#######.#..##...##......#.#.#...#.######.#....#.#.#.#.##..####...#.##.#.####.....#...#......#.#.#..###.######.....##.###.####..#.#.#.....####..#####..#.##.######.#.#.##.##.##.##.##.###.######...#####...##....########.#......#.#####...###.#.#..####.#...#.#.##.##.#.#..##..##.###.##.###.###.#..#########
#.....#.....#.####..#######..........#.#.#.##...#.####.##.....###..####.#....##..###.####.#.......########..#.#.#.###.#.#..######...#.##..########...########.#.##.#####.#..##.######...#.#.##.######.....######..#...##.#...##.#.###...#.###.##.#.#.#........##.##.#.......#................#######.######.##.#...##############.########.#.#.####.##.##########.###.##..........##.......###.##.#......##.#############..##..#.#.###.#######..###.##...#.#####.##....###.###..#.##...##########......#.#.#.##.#.#.###...#.#.............#...#.#.##.####.#...#########.....######.##..#....#####.#######........##..##.#####...##.#.#.###..#.####.####.#####..#.....#.#.#.###.....#####..####.#.#.#.##.##...#....####.......#....##.##.#....#...#.######.###.####.###...#.##...##.....##.#########.###...#.#####.#.###.##.##.###########.........##.##.#..#...##.#....#####.#.#.#..#.#####....##.###.##.#.##.#..#.........###.....#####.##.##...####..###.#....#..#........##.##....#
#####...###.####.##.#.......##.#.###...###.#..#....##.....###.#.####.##.####.##.###.........###.####.#####.#########......###.....#....##.#.##.....#...###.##########.#..#####.#.#....#.....##..##.#####.###.#.##.##########......###.#........############.###.....####.#.####.#.#.###.##.#..#..#####.##....#.##.##..##.##.....####.........#....###.............##..#######.#.#.##.##.#.##...##.######.##.#.#.#..##..###..##.#...##...##..######..###.####.##...####...#.....##.####..##.#.#.#..##.#..............#####.#...#.#.#######.##########....#.##.##.....#####.###.#.....##.##.#.#.#.######.##.###.##..##.#..##....#.##.###...##....##.....#.#.#.##.#####.#.#...#...###.##....##.####.#.#.....###.##.#......#.#.#...##.....######...#...#.###..#######....###.##################.###..##...#.#.......#.#......#....#.##.##...##.#.####.##..#.##.###.#######.##.#....####.....#.####.#..#.####.#.##.##.###.#######.####.##..#..##.##.#..#.##.##....####.##.####.#.....#.####
######.##...##...##.##.##.###..####..#.##..#######..#######...#.#.#...........#.#.##.#.##.###...#.#..........##....########.#####.#.##.......########.##.#.#.#.#.###..##..##.....#######.##....###.#.#...##..#.#..##.##.#.######.##.####.##.#.##............#.#####.#.#########.###..########.#.##.##.....##...##..##.#...#####.##.######.##...##.##..#.###.###.#..##.#.......######..#######.#####.........#.#.#.####.#...##..###.#..#.###....#...##...#.##....#..#####.##########.###.#........############.###.###.###...#.#####.........##.#.#.###.############.#.#.#.#.#.####.##..#..#...............#....##....#.###########.###.#######.#..#.#...#...##.#.....#.###.######.....##..#.#.#..#.####.##....#.###.#.##.#.##########.##.....#####.#.#.##.#.###.####......#...##.##.###.#.....##..###...#######...######...#.##.......#..#.#####...##.#.#...##.#.#......#.####..#.####.##..#.#.##.#.##...#.#..#########...........###.#.##..##.####..#.###.###..#.....###########..#.#
#....#..###.###.##..##.##.#...##....##########...##.#.....###.......#.#######.....#############...########.#######.##.###...#.....#.####.###.#.#.##.#.#....#.#.#.#.#.##..#######....########.#...#.#...#.##.##.##....##..............##..####..##.#.#####.#.#.##..........#.#...##..##.#..#.#...##..#####.####..#.###.###....#..#....##....######....##.##########.#####.##.####.#.##.##.##.############.##........##..##.####.##..##.###.####.##########....##.##.#.#.#..#.####.#........#.#.#.##............#....#......######.########.#............#.##.#.#.#..............#.#.##########.###.##.#.#.##.#.##..##....##..##.#.###.#.##.##.#.########.###..#.#####.#.##...#.#...#.#####.#.#.##.#...##.#####.#######..#.#.##.####.##....###.#..................#....##.#.###..#.#......#.#.#....##.###.#.....###.#######.##..##.###.###...#.....#......###.####.###.##......##......#.###.#.#..#.#.####.#.##.#.#...#...###.#####.#.#.#..##.##....##....#..#.#.##.#####..#.#..###.##.#
####.####...#......##########..##.#...##.###.###.#..####.###..####.####.....#####.#.##..#.......#...........##.##..#..#.###.#.#.#.#..##..#............#.##...#.#.....###.#.#.#####.##.##..#..###...#####.....#.##.##.###############.#####.#..#######.#.###...###.#.#.#.#.....#.#..###.##...##.##..##...###.###...#.#..#####.##.#.##....#.##......##.##.#..........#...###..##......####..#.##.##..###....##.#.###.###.#....#...##.....##.......###.#...######..#....#.##.#.#......#.##.#.#.#.###..####.##.##.#.##...##.#...##............#.##########............#####.#.##.#.......##.......##########.####.#..####.#....###....#................#....#.##.#.##.#.......#.....#.#.#............###.....##...#.......##.#.#...##...##############.#######.##.#...#######.#.#.##.######.########.##.#####.#.#.............##.######..##..#.###.#####.##..#..#.#..###########..###.##.....#.#.##.#....#.#...##.#.#.#.##.######.#.....#.#.###.#..####..####.##.#.##..#.##.##...##.#..#.#
##...##...#.############.##.###########..........##....#.#.################.##....#..##.##########.########.##.###.##.#.#.....#.####..##.###.#.#.####.######...###.#.........#.#....#.###.#######.###.#..#.#...#####..#..###.........#.##..##.##.........#..#..##.#####.###.#.#.#.##....###.......#####.###...###.#.#.##........#########.##.##.#.#...#######.#.######...##.#..#.##.##.#.##.#..#..##.######..####....#.####...#.######..#######...#.##.##.##########......#.#####.##.##.#.###..#######..#######.#..#..###################.###..###.###.##.#.#.##.##.....#.##.##.#.#.######.##.#.......####....##.##...####...####...#.#.#######.##...##........##.##.##.#.#####.#.#.#####.######..######.####.#####.#.######.#....#..#........###..##......##.##.####.##.......#.##.#...##.#.#.#.#....###########.#.##.#.#####......####.####..#.....###...##.##.#.##.##..###..##..###.#......#.#.##...###.#..#.###.####..##..#####.#.#.......###.##.#.##.#..#..#.##.##....###..##.#.#
#..#..###.#######.#.##.#.#..##..##.##.##########.#####.#.#.####...#.#........####.#.##......#..#.###......#...............#.#.#.#..#########.#####.....#.#.###..############.#.####................#....##.###.....##...##.#########.#..##.##..#########.#####.########################.....#.###..##.#...###.#.....#.#..#.###.###.#......####..####.##.......#.##.....############.#....##.##.##......##.#####.####.#......#.#..###.##..#.#..###.#.#...#....#.#.########.........####..#..##.##.###.####.#.....##.#####.##..#.............###.#.......##.#.#.#..###.##.#.#..#..#.#.##.....#####.#.##......#####.###########.##...#######.......#..#.#####.#.#........###.#.....#.#.#......###.##..#.#...#....##....###.##...#######.########.#.####..##.#..######.......##.##....#.#.#.#..........##.#.##.#.#.####..#.#..##...####..##..#....###.####.###.##.#....#..#..##.##....##...##.#.#......##.##.#.##.#.##....##.####.#.#.....#.#######.#.##.#.##.#.##.##.##....####.#.###...#
#####..######..........#.##.###.#...#..##..##.................###.#.#####.##........#######.##...########...###.##.#.##.##########....#.##.####.#..###.........##.#......#.#.#.#..###.####.#######...#######...########.#..#.#.#.....#.##..##.##.......#.#.#.....#..#..##..##....#.#....#.#.#####.##..#.###.#.#####.#.########.#.#.###.##.#....##..######.#.#.#..##.##....###.#.#.....##.....#..###.##....#.#..........#.#.#####.....###.#.##.##....###.####............###.#.##.##....###.##.#....#.###....#####..#......##.###.#.#.#.#.###.#.###.###..###.#.##..##.##.#######.###.##.#.###.#.#####..##.#.###.#.#..............####.#.#######.#######.##..######.#.####..####.####.###.##.#.#.###...###.####.###.#..##..###.#..##....###.......###..##..#.##......#####.########.#.###.######.#.####..........#.#..##.##.##.#########..#######...#...........####.##.##.##....#.##..#.#######.##.###..#.#.......####.#...##......###....#.####.#.................##.####........##.##
#.#.##.#.##.#######.##.#.##.#.#...#...####..#####.#.#.#.####.##.....#.#.####.####.###.##.#.....#..........###....#.#.#####.#.####..##.......##....#########.##....####.#.........##.####.####.#####.####.#...#..#.##....##.#.#.#####...#..############.......###.##.#.##..######.#.###.########....##.#.#.#.#.#.##.....##.#....#.#...#############.##.....#.###########.#.....#.####.#######.#.##.#.#..##...####.#.##.######.#.####.##.#.#.#...####.##...##..####.#.#.#.#...#########.##...##.####.#.#...#.##############.##..#############........#...##...####.##..#..#...#.#...########......#.#..##..###.....######.##.##.###.........#....##.........##......#.#....###....##..##...###.#.#.##.##.........#..#.####...####.#####.#.#######.#...###.#######.####.....#.#......#.##...##.#######...#.##.#.#.....###.#######.....########.....########.####.........##.###.#.#######.#.#.########...##.#######..#.#.###..##########.####.#......#.#.##.##########.......####.#.#...#
#................#####.#.##.#.#######..#.##.......#.#####.##..#####......#...#.............#.#.##.#.#.#.#.#...##.#.#.#........#.###########..####.#..#.#.######.#..##..##.#.#.##....##....#.......####...###.##...###.#............###.#.##.##.##...#..#.#.###.........##...###.....####.#.#....##........#.#.#....##.##..####...###..##.##.####.#.####.#.####.#.#.##.###.###........#............#########.#.#########.#.........#.#....#.###.......##.###############.#####.........##.#.######......######...#.##.......#.##...#.#.#.#.#####.##.#.#.##.#..##...##.#.####.....###........##.#...############.####.....##..######.######...#.######.###.######.#.######.#...##.#######.##.............#.#####.#.##.#.#..###.....#................#...#####.#.######.#.###...####....###........#.#############.#.##.#.#...####.##....##.#..#.####.#############.#.##........####.#.####....#.#.#####....##.##.##...#...##.............###.#.##.#######...###...####.####....#####.#.#
##.############.##.#.#......#.........##..###########........##.#.#.####.##.##.#.##.#.##.#.#.#..############.##..######.#.###.#.#.#.#.#####.##....##............##....##..#########..####.######.###.###..#######..###############..#.....#.##.#..#.#.################.###.##...###.#.#....####..########.......####...##.#.##.###.##.##..#.#.........#####..#.#.#........###############.##.#.##..#.#..#......##.#.##....#.#.#.#.....##.#.#.#######.....##.#....##..#..#..##########.##.###......#.##.#......#....#######.#..###.#.#.#.#..##.######.#.##.##..##.#######.######.####.#.######.###......###.#...##...##.###.####.#####.#.###.#.#.#.####...#.##...#.#......##.###.#....########.#.###.#.##.##......#..#.##.#.#####.#.#.######.##.##.#.####.#.....#...###.#...###....##.....##.###.#..###.##.#.#.######.#####.#.##..####.##.######..................####.#.#.#.##.........####.....#.....##....#...###.###.#..#.#.#######........#.###..####.....###.##...########.##.###
#####.###.##....#....######.##.#.####.##.##..##.##.####.###.##......##....###########.##.#####.##..#.#.#.##...######..#.###....................##..###.##.#.#.#.####.######.....#...##.##.##.....##....##.#.##.###.#.##.....##...##.##.##...##.####.###...##.##.######..##.########.#.##.#....####........#.##.##....#..............#.#..##...#.###.####.###...#.####.#.###..##...###......#######...##.######.##....##############.#.#.......##.#.###.###..###.####.##.##.#.#.........###...####.#..#####.#####.#..#...##.#.##.........#.##...#.##..#..#.#..##..#.................#####......##..#.##.....##.##..#.#..#.####.#.#.#...#.....###.....###.##....#.#.#.#.#.#####...##.#...#.#.#######..#.##..##.#.#.####.#.....###..##########.#..#..#####....###.#.#..#..########.#..##.#.#####...#.##.#........#.......##.#.#....##.........#######.#######.#####.##.###.#.#.###.#.###.##....###...##.######.#.####..##..#########.#....##.##.####.##....##.##........###.##..#..##..##
#.....#.#.#####.####.#.####.######.##....###.#..........#......#.#######.###..#.#..#####.#.....###..........######.##.#######.#.#.##.#.###.#.####.##....#.#######....##.#######.###........#####.#####....#.#...##.#.######.#..#..#.#######..#.#.#...##.#....#.........##...##.##.#.#.####.##..#.####.#.###.##.#..#.####.##.#.##.##...##.#########..###....###.#....########....#...###.########.##.##...#......####.#...#.#.#.#....#.#.#.###...........###.#.#.#.#.....#......#.#.###.#...###....#.###.###########.###.#.....#########.#.#..#......###.####..##.#.##.###.#.##.#############.######..#####.....#######.#..##........#...#.####..#.#...#..####.#.#.#####....###.#######......##.#...##.##.#####.#.#....####.##.##.##.#.....####.######.###.###....##...##.....##########.#.#...#........##.#.#...###.###..#.######..##.#.##..#.##...#...#####.....#..#########.#####...####.##.##.#####......#....##.#..##.###.#.....#.##...#.........##.##.##.#.#.##..#...#.##.####..#
#####...#.#.##.....#........#.#.#...####..##.#.############.#.##.#.........##.#.##..##.#########.#.######.#.##.........##.....###.#..##########.###..##################...##....#.###.###.##.##.....#####.#.##.##.....##....#####.#.#.#.##..##.#.##.########.######.##....#.#..#..#...#.######.#.#.#..#.#####..##.#.#.....#.#########.#...#.####.##...####.##..####..#.....#######.##.####.#.#.#.#...###.####.#....#.###.#.#.#.##.#.#.########.#.#.##.#.............#.#...#.#.####.#######.#...#.##.##...##...#.#.#..##...##.##..#...#......##.##.#.#.#####..#####.##.#...###..##.##.#.....###..###.##.....#####...#.####.#..#.###.##.#.#.#....######...##....#.####.#..##.#...#.########.#......#.#..#..#.#####.####.##...##.....#.#####.##.######.#.#####.######..########.#.#.#..#####...####.#.#.#.#######.##.....##.#.##.###.###.#####.#.########.#..#########...##.#.##.#..#..#..#.###......#.#..##.#...#####.##.##..#..#####.#.####################.##########...#.......##..##
#.#.###........###.########...#.###.##...###.#########.#.##.#.#..###.#####.......#.###..##.#.##....##.....#..###.####.#######.#...##.#....#.#....#######.##.#.#.......###..####.......#....#.#..###.........##.######.#..##..##.#.....#.###.......#.#.###.........#########.##.##...#....##..........####.#...##..######.########.#.....#.....#..#..#.###...##.##.##.#####.........##.##.......#.###........######.#.##...........#.####.......###.#..#.###.#.#.#.######.######.####.##.################..###.#.#.##..######..##.###...####.#..#..#.#.###...##......####.###..###..#.#####.####......#############....##....##.#....###.#.#.##.#......#.###.###.#......######.##.#.#.###..##.##.##.#.#####.#.#####.##.####.#..###...##..#..#.#......#....#....########..##...#.#.##.#..#################.#.#.#######.###.#..#...###.####......#.###.##.##.......#.##.###.#.##.##.#.###....###.#####.#########..#.#...#.###.##.......#..#.##.......####.#.#........##..###.##.##..##.##
#.#.#.##########...##.......#.#......###.##...##............#######..#####.###.#...##..##.......##..########.#.####.#.....######.##..####...##.#.........#......#####.#.##.##...#.#.#.##.#.....####.##.##.#.....##....##..##......#.#.......#.#.#.....#.####.####.##.##........#..#.##.#..##.#.###.#...##...#.#..###.########.##..##.#.######.##.##.###.###.....#.....##.######.##..#..#####.#....###.###.#.##.....#.#####.######.#.##...##.#.####.##.###...#####.##.#.######.....#...#.#.##.##.#..#.....##.......###......##....#...###....#######.#.#.###..##.#.####.#.#...##.##...#.#........###.##..........#####.#..#.#####.#.##...#.###..#.##.###.#....##.######.#..#####......#...###..#.#..###.###.#.#.##...#.#.##...###..#..##.##.#.######.####.####......#...###.#......#...##.#.##.#.#.............#.##.#.##..##.###.##.......####..........########...##.##..........######.#.....###........#.###.#.###.#.#.#.##.##.##.##......#.#.#........##.##.#.####...###...##..#..#
#........###..####..#######.#.######.#.#.##.#..#######.#.##..##.....##.....##..###.#..#######.#.#..##........#........##.##.######..#######....#.###.###.##.#####.............#.#.#.#######.##.#....##.#..##.##..####..####..##.#.#.##.####.#.#######.#.#.#####.#.##..########.#.##.#..##....#########.###.#####.#......#.#....##....###.#.##.#..#...#....#####.#####.#..##...#####.#.###....##.#.....#...#..#####.........#......#.###########....##.#...#.#.....#.....#.#.#.###...#.........#.##.#####.########.#.######....##...#.#...##..##.....#.......#####..##....##.##.....#.....##.##.###...###.######.#.#.#.######.....######.#.#...#########.##.#.############..#.#######.######..#######.....#.#.#.#..#.....#..#...##.##.....#.#.#.#.......#.#..######.##.###..###.##.###.##..........#.#########.#....#.##.##....#..###.######...#.#.#.##..........#....###.#.#####..#.#...##.#.##.###.####.#.......##...........#..#...###.#.#######.#.##.######.#.##...#######..##...##
########.#.##...###.##..#####.##.#........#.##.###.#############.#.#######.#..##.....##.#.#.#######################.####.##.#.#.###.#....###.#.#######......#.....#.##.###.#.##.#######.#.#.#..#.##..####.##.#..##.#..##..##..#####.####....###....#....#.#.#........##...........####.##.#####..#######.###.#.####.#.#...##.#....##.##....##.##.###.###.##........#..##.###.###.##.#.#.###.######.##.#.#.##.......#.#.###.#.#.#.##.#...........#########.#.##.#.######.....###...#.#.##.##.#.........#...#.........############.#.#.##.####.##.#.###.#.#.###.########.#.############.#.##..##.##..###...#......#.#...###.######.########.#####.#.#.....#..#..##......####.#.#..#.....#.#.##..##.....#.#.#.......###.##.##.##########.##.........##.##...##.##.##.........##...##.#.#.#..############.........####.#.....####.#.######.#....###.#.#####.#.#.###.#.##.....###.#.##.#.#.#.#..#.#......##.#.#####.#....##.##.##.##.##.#..##.#.......#.###.......#####..#.......##.###.###
##.###.#....###.#.#.###...#......##.####.#####.#...#.#..#.###.#########.##.#.##..###..#.#....###.##....#....##.##...#...........#.###.##.....#.###.#######.###.#######.#...#.#..##.##.......####.##############.##.##.###..#####.####.#####.######.####...#...##.#.#..####.##.##.##....##.##....##.#.##..#.....###..#####.##.#############.##.........##..########.##........#.#.#............###..#..#.#..##.#.#.#######..#.###..######.#.#.##.####.#.#..#.#..#.#......#.#..#..###.####.##.##.#.####.###.#####.#.#..............#.####...##########..#.#...#.#.###.######.#.#....#.#.#######...####...########...###.#.......#....##.....##....#.###.#.##.#.########..##....##.#####........#####.#.###...##.#.##.###...#.#..........#..######.##..#..#..........#.##.#.##..###....#.##.#............#####.#..##....#.####......#.##....####...###.....#.#.#...#####.#.##............#.##.##########..........##.####.#..#..#..##.#.###.#.#.#.#.#..####.###...###.###.#.#.#####....##
#..#.#...##.#.#.#.#..####.######.#..####.#.##..###...##.#.#.#.#.#.#.##..##.#######.##.#.####..#...####...##....#..###.#.#.###.#....##.#####.##.#...#.###...#....###....###.###.###.#..#.#####....#...#.#...####.##.##.#.##.##..#..##......###.#......####...#########.#.##########..#.##..###.#..#....##.####.##.####........#########......########.##..##........#########.......#.#.#####.##...##.##########.#..##.##..##.#...###.############........##.#######.##.#####...##...##....###..######......##...#.##.##.#.###.#.##.##...###.##.#.#...##.#.###.......#........##.#.....#...####.##....#.##.......#.....####.##...#.#############.......#.#..###....####.#..##......#########.##.....#.####.##..###....###.#####.#.#######.#.......##.##.#.#.######.###..#.###.####.#.#..####.#.#.#.#####.##..##....####...#..##.#...#..######..#######.############....########.#.#.##.#.#####.###.#...#.######.##.##...##.##.##..#.#...###.#####.#.##......#####.#####.######.##.##..#
##.#.#.#.#..........##.....#####...##.......##.##..#.#....#.#.#.#...###.####..#.#..##.#.#.###.##.##.#..#..####.####...#####...#.##..###.##########.#.#.##.####.##.############.#.....##.#.....#.####.#.#.#.#.#.....#....#...##.##..######..#..##.#.#.#.####.#.....#.#.#.#.#..#..#########.#.####...#####.##.#.#..#######.#.#.#....##.######.#.#.......##.#########.#.........#.#.#.#.############.##.#.#.#.######.##.....#######.#.....##.#....#..##.#.#.####........###.....#.###.###.#.##...##....##.###....#.#..######.#...#.#..#..#.#....#.#.##.##..#.##..##.##...######....###.#####...######.#######.#.#.######.#....###.####.#.#.###.####.###.####.#######........####.#.#....##.....#####.##.#....#########.##.#.##.########.....#.#.#.###..#..#.#.###....#...##.#.#.#....#...###.#.#.#####..#.....####.####...#.#.#######.#######.##.###.#...#..#.#.###.#######.#.###.#.###..###.#.........#.#.#.......###..#.##.#..#..##.#.#..##.....#########.#.##.....#.#.......#..#.#..##
#......#.#######.##....###.....###.########.#...#.#######.#.#.#.###.#.#....##.#.#.##......#.......#...#######...###############.###........#............###..#.#...#..##.###.##########.##.######......###...#####.####.###.#...#.##.###..##.#######....#########.#.......##.##...##.#.####.######.##.#..#..#.##.#..#..##########....#.#......#######.#..#.##......######.##.#####.###......#.#...#..#......#.##..##.###...##....#####......##...#####.#.#....####.#.##..#.#####.###.##############....#####.####.##......#.#.############.#........###.#..####..#..#.#......#.########.#.#...##.#######.#######.###....#.##...##..............#..####.#####.#.#######.#.##.###.#.##....###...##..##.####.#..................##.#....#.#.##########.##.#####...#.##.######.######.###.......#..#.###...#.#..##..#....###...#..#.##.#.#......###.#.######.......................#.#...##.....##.#.##.#.###.#.#.#...##.#.####.###.##.#.##.##################....###...#.#.###...####.###
#.##.#####.......###.###...#.#......##........#...#.#.#.........#.......####......#..##.#...#.###.#####.###.###.#.##.##.#...#####.##.#.###.#.##.##.##.#..###.#####.##....#.......#.##.########.####.##..####.............##.###.#.##.#.##..#..#.#..####...#####...#######.#...###.#..#..###.#.#.##.##.##.##.#.##.##.#.##....#.######...######...##....##...#######........######...#...####.....#.#####.###...###..###...###..##.#.....#.#######.#.....####.#.##.#.#.###.#.##.##.....##.##.#.#.#.#######.....#.##..#.#.##.#.###............###.#.#.##.########..###.#.##.#.######.##....#####.##..#..#.#.##.#.#......#.####..#..##########.###...##.##..........##.#...####.#########.#.#...#.##.##..####.#######.#.#.#.##.#....###.#######.#..#.########.###########...##.##.#...####.#.##.#.##.....#####.####.##.#.##..#.##......#.######.###.....##.#########.#.###.#.###.###.#.#..#################...###.#.######.#.....##..#.####..........#.##...##.##...#######...###....#...#
#.##.##.######.#...###...###.#.#.#.######.##.####...#.####.####.####.##..##..##.#...##..#.#.#.#....#.#..#.#.#.#...##.#....#....##..#.####....###########......#.#...####.####.##...##.##.##.........###..#####.#.######.##....#.........#.##.##.#.##....#...#.###.#..#....##.##.#.##.#.##..........#..#..#............#..##..........#.#.##...#....##.####..#..#.######.#..###.#.####.##....#.#######...#####.....###..#...#########.#####.......#.###.##.#####....###.#####...#####.....#........#####..#.#.#....#######.#########.##.##.####.#.#.##......#...###..#########...#..####.##.##.###.##.....#......#.#.##.##...#####..........##..#.#.....##.#.###......#.##.#.#.##.#.##.####.##.#..###.#....#.......#####.##.####.#####.##......##.#..##.....#.##.#.#####..#.#....###.#..#.#######.###.##.##.##.####.#####.#####.###...#.##.....#####........#.....###...#.#...##..#.####.###.....##.#.##.#...###.###....####.##..##.###..##.#######....#.##.####.....##..#..##.#.##.###
#.#..##.#.######.#######.##..#.#.####..#..#..##...#.....####.........###....##..##.##..###########.#.##.#.......###..#######.#..##.####.##.###.#.........#.##.....#...........#..#........##.##.#.###.##.......####.#.#....##...##.####............###.####...#.#.##.####.#.......##.#.##.####.###.##.##.##########.#.##########.#####.#.#..#.##.#.#..#.###.##.#.###....####.#.###..#######.#.##....#####.#.#####.#...##.###.........##.####.#.#.#.##...#.######.#.###.#######...####.##.##.#.###.....#.##.#.######.#.....#.....############...#.#.#######.###.#...##...#.#.###...##.#.........#...#####.##.##.####.#..######.######.#.#.#############.######...#.#.####..............#.....######.#########.###.##......######.#.###....####....#.#######......#.#..###...####.#.....####.#.....#...#.....##......#.....#.....#...#......#.#...##########...##.##...#######.#..##.#......###.#.......####.##.....##.#..###..##..#.#...##..#.##.#..#.##.#....####.#.##.##.##..########
#.##.#...........#.......##.####.#..##.##.#######.##.##......#.#.#.#.#...##.##.#######..##.#.##...........#####.#.##.#..#######.##..#.#.##.#...###############.####.#.#.#.#.#.##.##.#.##.############.#..###.#.###......#.##..#.##.#....#.##.#####...###.##.#...............#.###..#.#.#####...#.......#.###..#.#####.###......###..#......#####.####.#..........#.######....#.####.##.#.#..#######.#.###.........#.###....#####.###.##..#.#.#.##########.#.#.######.....#.#####.#.####...###########.#.#..###........###.####.##..........###.#.###.#####.######.#####...#.#.###....#########.##.#####.....#..#....##.#.............#.#.#.............#.#.##########....#######.#.#.##.##.####.#...#.#.##.#####..###.#.##............#.##..####.#.##.#.###.##.##.##..####..###.#.#.#..###.#####.######.##.##.####.#.#.#.#.#.#.########.#.#####.........######...##.###.##...##..######.#..########.#..#.#.##.#.###..##.#...##..##.#.#..##........##########...####..###...##........#
#.##########.#.#.######.#####.#..##.#.....#....##.##.###.##############.##..##.#.......##.......###.##.####.#.#.#.#....##.#.#...###.#.#.##.###..##.#.#.##.#....##...#####.##############.##.#.#..#....##########.######.#.#..########.#.#.##.##.##.###....#######.#####.#.########......##.#.#########.#.#.##.....##..#.##.###.####...#.#.#####..#......#.######.#.#.#.#####.#.#....#......###.#........##.#.##.#.####..####.##..#....##.....#.##.##..##..#....##..#####...#.###....#####..#.#..##....############.########.##.#..#.#.####.....#.#.........#.######..#..#...#.######.##.................##.###.#.#.########.#.#.#.####.####.#####.#.#.##.....#.#.#.###########...#.###..#..#....###..............##...#.##.##.###.##.######....#.#....#..##.#..#...##.#....##.##########...#...######.#.##.####....#.##############.....####....#######...##...#..###......#.##.##..######.#.##.....##.....##.#...##.##.#.#..##########..##.##.##......#.###.###.#############.#.##.##
###.#........######.......##....##....#.#.#.##....##..##.####............##.##.###.#######.##.###...##.#........#.####.##...###.#.#...#.####.#.##.......#.#.##.#..#.#.....##.##.##.#.#...##...##.####.......#.#.........#######.....###.#..###......#####..#....####..#.####.......#.##.##.###..##..........###.#.###....#.#........#.#.###.#.########.##.#......#.#.#.#.#.#.#.##.#...#.#####..####.###.#..#.#..#.#....####...######.####.##.#.#...##.###.####....##.....#.......##....###.#.##..####.###.##.#..#####...#........##########.#.########.#.#...#.#.###.######.......##.#..##.#.#.##.#.#.######.###.#..#.#.....#####.##...##...#.....##########...#.#..#.#......##.##.#...########.#######.##.#.#.#####.##.####..#...#..#.#.#..##.....##.##.#..##.###......##.....#.#.#...###.##.####......#..#.#..#########.#.#.##....###.#..####.#.......#....#######..#.##.#..#.###...##........##.####.#.##..#.#..#.#######....#.##....##..##..##.#####.#.#......##.#.#####.#####..##
###...#.#.##.##.#.###########.###..#.###########.####.##.#....#######.##..#.###########.....####..#.######.####...#.##..###.##....###.#..##.....#######...#.#######.#.##.##............#..###.#...##..###.#.....#######.###.....#.#.....#.##...#.##..#.###...##.##.##.####.####.#.#####......##.#..#######.##.###..#####.######.###.#.###.......##.....#..##.#.#...........#...######.#####.##......#.....##.####.###.##....#....###.#....##.#.###....#......####..########.##.#######..........###...#.#.#..##.#.#.###.###.##.#..##.##...#.#..##.##########......##.#.#.###.####.#....#######..#########.##.....#.##...#.#.###...##.#..##.####.####.##......#...##.#.######....#########...#.....#......#####.#..##.####....###.###.#...#.######.##...#...##......#.#.####.##...#.###........##.####.###.##...####.##.#......#####.##..##......#.#.##.###.#.##.#.#..##.####.##..####..####.##.##..##.#.#..##.#.#.####.......##...###.#..##..##.##...#.....#.####...............###..#
#.###.#####..##......###..#.####..##.#...#.#.#.....##..######.#........##.###.........###.####.####.#.##...#....#....#.##...###.#.......#######..##.#####.###.#####.#.###################.##..###..####.#####.####.###..#.###.#.#######.######.#..##.....##.##..................#..##...#.#.##..####.#.###.##..###.#.#.#..#.#...#...#.##..#####.###################.######.###.#.#.#####.....##########.#..#.#....#....####.##.###.#.##.#.##.#.######.######....##..###..#######.......#.#.#.##.#.###.#.#.#.##..............##.##.#.....#...#####.....#.#....##.#............#......##...##########........###.#.#..###.#####...#.##.#.###.#.####.......#.##.###.##..........#.##.......###.##.##...#.#.###....##..###....#.##...##..#.#...#.#....##.#...#..##.##########.####.#.......######.........###########........#.##.......######.#.##.########...####.#...##..#.....####.###......#..######.####.##.###.##...#.#.#.###.##.####..#.##..##.#...#.###..##..###.#########...#.##
#.##################.....##.##...#######.......#.########.....##.###.###..#...#######.....###....####..#######.#####.#..###...#########.##.#....##.....##.##...#....###...................###.####...#...##.#.##.#...####.....#.##.#.##.#..#...##.###.##....#..#.#.##.##.#.##.#.######.##.#..##...#.........##.....#.#.##.....#.#.#.#.######............###.#.#.#####..........#.#..###..#.#..####..#####.#################.#....#.#############.##....###...##.###...#.##.##.################....##...........##.##.#.#.#.##..##.#####.#.#.##....###.....##.#..#.#.##.###.#.##.#.#..#####.#....#...#.##.#.....###.##.####..#####.#..###...#......#.#.#####..##.....#.#.###.##..#######.....#..##########...#.####.##..####.####.#########...##.#.#########.####....#.#.#......##########.....#########.###.#.#.#######.##..#.#.###.#.###..###..##.......#.##.#...#..##.##.#.####....#.#######.#...........##.#...###.##.#.#..##.##......######.##.#.###...##..##..####.###.##########
#.#.....#.#..........#.#....####.#.##.##.#.########.......##.#######.##########...#.##.####.####.#.###.#.###.####......###..#..#.##.....#..####..#####....####.##.########.####.#########.....#.####.##.##....##...#......###.###....##.##...######.#.#####.#########.##.####.#.####...##.##..###...###.#.#..#####........##.########..###.############.#.#........####.#.##.#.....##.##.####......##.......##.....###.#..#.####.#..##.#...###...####.##.#####....###.#.......#.............#..##..####.####.#.##..#.#.###.#########.####.##########..#.####.#############.#.#..#.#.##.......##.#.#.#.##.##.##.#...##.###..##.##..##...######.#.#.###############.#.#.#.#....##.##....##.##...##..........#.#.#..#..######..#.##.#......##.###..###.##.######.#..##.....##.#########.###..##.##.................####....##.######...#.....##...#######.#.#.#....#.##.#..#..#.#..####.#####...###.#.##.###.###.#.#.#...#..#.#.########.##..###...##.#...#.#.###..##...................#
#...###.#.#######.#########..###.#....#..###........##.#.#####.##....#.....##...#......##.....................#.######.#.#.###......#.#...##..#.##.#.####..#.#.#####...#.#########...########...#.#...#....##..##.##.#.#.##...#...##.###########.#..###.#######.##....##.##.###.#....#.######..######.######.##.#..####.#.##..##......##..................###.##.#..##..#.#####.##.#...###....####....#.#.#..###.#...#.##.####.#...###.###.#.###.#.....#.#..#####.#.....#####.####.#.#.#.##...##..##....#....#..##.#.#.#....###.#.....#######.###..######..#####.#.#.......#.##.###.##.#####.#....############.#.####.#.##.#.....####.#####.#####.#####.#.........#.#.#.#.#.##..##.##..###..#.##.#.##.###.#.####.##........##.######.##....##..##...##.#.#.##.########.#####.............##..#..#.#.#.#.#.#####......#.#####.##...####.#.####.###.##...#######.##..#.##.#######.##.#.......#.....#..###...##..#.###.#.##.#.#.#####.....##...###..#.#.#.###.#.##..##.######.#.#.#.#.#.#
#.###......#.#.####.#.#..##.##.######.##.##..######.######......##.#.#.#.#..######.###..##.##################.#..#####...###.####.#.#.###.###........##.#.##.#.#.#.###....##.....###..........###.###.#.#####.##...#####.###.###.##...###.##.....##.#...#..##....###.###.#...#####.#.###.#....##.......#.##.......##....#.#..######.#####.##.##.#########.....##.##....####.....#..##.##...#.##....##.###.##########....#.##.....#...#.#.....#.#.#####.....##..#..###.#######.##########.#..#.###....#.##.##.##.####.#.###.##...#####....#..#.#.##.#..####..##.......####.##.##.#...##.#.....##.#.#.....##.#.######.#........##.###.###...#...#####.#.#.#########.###.#####.##.#######..#..####..####.#...####......########..#.#.#..####.####.####.#....................##..##.##.#.###..#########.#.#.#.#.....#.#.####.###.#..####...#..##..#......#.#.......#..#########.##.....#.#.##.###.#.######..#..##.#.##..####.#.#..##.####.##..###...####.#.##....##.##.......#.#.#####.#.#
####..#.##...#.#.#....##.##.#..##.##......#######...#.##...#.##.##.########.#.##.#############.##.#####.....#.#.##...###..##.#....#.#.#.......######.......#.#.#.#.#.####.######.....##.#####......##...#......##.##.....#.#..####..#.#.#..#####.#..###...######.#...##..###.#..####.#...##.#..#######....#####.#.##.##.###.##.###..###.##########.#.#....###.########.##...###.##.....#########.#.#..##....##.....####.#.######.#.###.#####.#.........###.###.##.....##.........###.....####.#.###.####..##.#.....###.#....##.##.#.####.##.#.#.##.#.##.##.##..#.#.#.#.....##########..###.######.####.##.....#.#...###.####.#..##..#####...###.##.......#..........#.#.....##..#.##.##...#########.###.####.##########..####.......##.......#.#......#.#.#.###.##.#.#.#....##########...##.........###.#####.#.#####.##.#.#.##.##.###.#.####.######.###.###.######.##.#.....###.#...####...###.#.#....##.##..###..###...####......##.###.#...#...####..##.########.######.#.....#.#.#
#....#######.#.#.##.#.......#.##.....#.#####......###....#.####..########.#.#.##......#.#.#...........###.#........#.....##....#.####################.####..................##.#####.########.##.#....#.#.#.#.##..##.#.###.####.#..##.#.##.##.#..##..###.##..#.....#..##.#.....##.######....##..##.....##...#.#.#.##.#..##..#..#.####.......##.##..#.####.##..#...#######.#..######.##..#.##...###.#.##..#########..###.....###..#..##...###.####.#.##.###.#...#####.######.#.##...#########..#.....#....##..##.##..#########..#..#.###............#.##.#...##.#.######.####...#.####.#######.#######...#####.#.###.#.###..########.#.#.###.#....#####.#...###.###.#######.##..##.....#####.#.#.##..######....#.......##......####.#######.######.#.###.#.#.#############.#..##...#....#.##.#######.#######...####.#............##.....###.#####.#...##..#...#..###......###..#..###.##...####..#.#######.###..###.##..#.##...#.#.###..##.#.###.#...##.###......##.....###.#.#.#####.#
######.#.##......######.###....#####.#.#..#..#.#.##...#.#####...####.#.#.........##.#.......###.#.#.#.....##.#.###.###.#....#.##....##.#............######.#.##.#.#.#####.###........#........#..##.#.#.#####..##.##.#..##..#.#.####..........##.##.##.#.###...#.#.#.#######.#.##.#.#..###.####....#.#.#..#.....#..####..##.##.....###.####.##.###.........##.#.#.........####.##.#.###....###..##.#.###...#.###.##...#####.#.#####.###.##.#..#######..#...###.#.#.....####.#####.##.#.###.######.#.###.#######.#..##.....####.##.#.#.####.##.#.##....#.###.##.###..#.####.###.#....###...#.#.#.###.###.............#..###..#..#.#....#.#...####.#.....###.###..##...##....#..###.#.#.........#..##.#.##.####.###.#.#..########....#.#.....#..##..#.#...#.#.#.....#.#.#.###.##..#...#.##..####..###.#.....##.##......##.#.###.#.#..#####...#.#.#...############.....#########...##...#..#####..##..........##.##...##.##..##.##.#.##..##..#.##..#.###..#.###.##..#.#.#...#.###.....###
##.##..#..###.##......#######.##...######...#########.#####.###.#........##.###.########.##.#...###.##.##.####.##..#...####.#########....#.##.#.###..#.....######.#####.......###.##.##.#.###.##..###.#.#.....##..##.#.####..........###.#.##.............#..#.#.#.###.#..#..#....#.#.##.####.##.#.######.#.#.#.#####.############.#.####...#....#####.#.#.#..######.##.#.#.........#.###.##.#.#######.###.#.#.#.#..#..###......#.#..........##.##.###.#.#.#.#...#######..#.#.....##.......###.#..#.#...##....###########...#...............########.##.###..######.#.##.......##.#..####...............#.##.######...##.##.##.#.####.....#........##.##...#...####.##..####.##.########.#.##.##.#..#.##....#.########.##..#.#..##.#.###.####.##.#####.##########...........###.#####.######.##.....#####.##########.##.#..#########.#####.......#.##.#.#.###...#.#.#.......#.#.#..#.##.#.....##..#.#####.##...##.##..##.##..####.##.####.#.##.##.####.....#..#.######.###########...#
#...##.#.###########.##........###...##.#######.#.######.#..##..#####.#.###.#...##........###.#############....###############.##.#.#############.##.#####.#......##..#######...###..##.####..##.##...######.####..#.####...###.#.##.#...#..#####.##.####...######.##..##.#####.#...#..#.##.#.#######.#.###.###...#.#.####.#.#.......##.###.#.####.....##########....#..#.#.#.##.#.##..........#...###..####.#.#.#####...######.#.####.#.#.#........######...#.#..###..##.#######....#####.....##.#####..####.##.###....###.##.#.##.#.#.##.####...#..##...##.###.#....####.#.#..####.#.##.##.#.#.#.#.##.#.###########.##.##.#.......#####.##.####.##...######.########.##....##..#.##....#.#...#.##....####.#.#..#.#.#.###.....#####.#.#.#..#....##..###.....#.####.##.######.#.##.....###.#.#..#.#.##....#.##.###.#..######.....#.....#.#######.###..........#.#####.###.#...#.############.######.#......###..#####.##..##.#....#...#.#.#..####....#.##.###.#.....##.......##..##.##
###......##..........#########.#.##.##.....#.#....#.###..##.#..###....#.#...#.#.######.######.#......##..###.###..................#..##.##............#....#.#.######.#.#.....#...#######....##...######.#.....##.##.##...#.#################......###....###.#.##.###.#...##.#####.##.#..#.#.#.#.##....###.#...###..........#######...........##..##.####...##.##############################.#.###...##........###.###.#.#.##.#.###########.#.#.#.#.##...#...##...##.#...##.#...#.##########....##.#..##.....#.#.####.#......#.##.###..####.###.##.####.##.#.#...##..#.######..#.........##############.#............#.##.#.#.#.#.......##.#.....##.##....#...##......##.#.###...#..########......##...##.#.##...........#.#.##....#.####...#.####.....#.#.........###........##.#####.......##########............##....#####.###.#....##.......##.##.####.#...#####...###.#####.#........#......##.##.##...##......##..#.##.#.##.##...#.##....####..###.####.#######.#.###..##...#
########..##.#######....###.......#.######.#...##.#.#.##.#..##...###.########.###.#....#......###.##..##.#.#####.##.#.#.##.##.###...##...#####.#.#.##.####.###.#...#......#.#.#.###.##.#####.###.##........#####..##.#..#.###....##....##.#.##.##.#######.###.#..#.#.#.#.#..#.###......##.#.#.#...###.###.#####.##..#.######.....##..#.##.##.##########..###..#.##.##....#.#.####.#.#......#.......##.##########.#.......................###..#.#.#....###.#.######.##.##.###.#.#.###........#######.##..###.#............#.#.#######...####............#.##...#######....#.####...#.#.#.###..#.##....#...##########.#......#.###.##.#.##.#######.###..####...#.#..#.####..#.#...#...###.......##.#.####.......#######.#.###.###..##....##..#.########.###.##.#.#.#.###..###.#.######....#.#.###.#.##.####.##.#.###.######.#..#..#####.##....##.####...###....#####..#..#.#######.....#.##.#.##.###..####..###..##.#.#..##.###..#.##..###.###..##....##......##........###.....#####.#
#.....###..####......##.....#####....###...#####......##.##.#..###.###.##..####...##.#.##.##.##....##............##.#.##########..#..###.......#####........##.#.#...#.####.###.##......#....#.#..####.#.#.#####.######.###...##....##....#.####..##.######.#.##.###.#.####.#.#.##.#.#.#..#.#.###.....##..##.####..#####.#.#####....#######...##.###.###..###.#.#.....##......##..#.######.####.####..##.#.#...#.#################.#.##.##...##.######.#.#######............#...############.######.....#######.#.#.#.#.#######.##.####.#..########.###.#.####...##.##.##....##..#.#######.##....####.#####..........###.##....####..######.#.#.#.#.#.##....#.#.#.####....############.##############....#####.#.#.##..#...#..#########.#######..##.#..##..#..#.#####.########.##...####.#.#.#...#.##......###########.....##.##.#.###.#..#.#######..#.########...##...##.#.....##.#.##..#.#.####...##....##...##..#.##..#...##.#.###.##....##..##.######.######.###.#...#.#.###..##.#
#####.#.##..#.########..#.####..###.##.###....####.#.##.....##.##..##..###..##..#....############.####.#.#.#######..#.#......#.##.##..###########.####.#.#.########.##.#....#...#######.####.#...##....#.#.#...###.##.#############.##.##...#.#####.....##........#.....##......######.##.#.#.###.#.#..##.#.....#####......#.....#.####.#####.#..#.......##.#.#.#####.####.##..##....##....#..#....##.##.#...#....#.#............#####.....#.##.###.........#..###.####.#.#...###...####............######......#.###.###...........#.####..........#.....#.#..###..##.###.#....#####...#...####..#....##...#.####.###...####.##....####.#..........#####.#.#.#.###.##.#.##.....#.#....#.#.##.#.#####.#.##.....#......##.#.#.##.......#.#.##.###.##.##.#..########.....##.......###......#######......###.##.......#.#####.#...........#######.#....####.#.######.#..####.##.##.#..#.#..##.###.####..####.####..##.#.##.###.#####.#...#..#.##..###...##....##.#########.####.....#####
##.......##...##....###.####...##...##...####..#####..#####....###.#..##.##..##########..#.##.#...#.####.###.###########.#.#.......##..#.#....#........###...##.#####..####.#.#..##..........###..##.########.###.....###....#.###..##.##.#.....##..#.#....#.#.##...#.#..#####.##.#.#.......#.#...#.##..#.####.##.##..#.##...#.#.###.#..#.#...##.####.##.##.#.#.#.#####.######.#####..####.##.##.#.#..##.########.....####.##.##...##..###.######.##.#.#.##.##.....#....#####..####.#..#.##.#.#######....##.#.#.###################.#.##.##.####.##.#####.#.##...##.##...########.##..#.##.###.##.####.###.#####...#...#.#....#####.#..#...##.##.#.##...###.###.#......########...####.#.#......#.#...########...##.#..#.###.##.#.#.#............##.########.##....#.#....##.####.######.#.......#.#.##....##.####...#.......######.####.#.##..######.#.............##.....####...#####..#.##.....##.#.....##..###############..#####.##.#..##...##.###.#.###.#.......###.###.#####.##
#..#.###....#..###.##...##.#.#..###..##.##....##.##..##.#.####.#.#.#.###..##..####.##.##......#####.#.####...#....##.#.#######.#.#####.....##.########.#...#.#...#.###.###################.###...#####....#...#.#.###...####.......############..####.####.#####..#.#.##............#######.#.#########.#.#.....#..#.###############.##...###.......###.........#.#.##....##...#.#...##.##.#.....####.##.#.##.##########...#####.###..##....##.#..########..#####.##.##.##....##....##.#########.#.##.##.##########.###..#.#.#....#.#.#..############.##.......###...#.#.#####.....####.#......#.......#.####....#.###.#####.##.....##...#.#..#..#.####.##..##..#.##.#.##.#.....#..#.#.#.###.##.....#.##.......######.##.##...###.#.##.#.#.#####......#.###...####.####.#.##.#.......#########.#.###.###.#..#.#....#...##.#.###.######......##.#..###.###.#.#####.#..########...#..##...##.#..#.#....##.#.####.##.....##.#.....###.##.##.#.##..######.###.......#########...#...#....#
##.#.#...#####......##.##..#.##.....##..#####..#.###.......#.#.....#...##....##.#..##.######.##.##.....#####.###.##..#.##.#.######.#.####.##..##.....#####.#####.#..####...#.#...#.##......###.#...####.#...#...######.###...#.##.##..##.#.##.#.##.##.#....##.#..##.#..#######.#.##.###............##.#...##.#.##.####.#.#.##..###.#..###.#.###.#.#.##..##.####.#....####..###.#...#....#....##.###.#..#.#..#...#......#.###.#.......#####.###.##..##.#.###.......#..##..####.#####.....##.#.#......####..##.#.#..#.#.##.....####.#...##.#.#...##.###....#####.#####.#####.#.#####.#.#....##.#...##.##...##...##.#.###.#.....##.##.####.##.#.##.####.......####.#..###.#..#####.##...........###.#.##.#######.###.##...#.######...###########....#.##.....###......##...#.####.#####.#.##.##...#.#...#.##########.####..######.....#.######....##.#.......#.##....#.##.####...#.####..#.#..##.#.#.##.#..#.##...######......###........##.#..##........##..#.#.#.........##.####...####
#..#.############.########....##.##..##.#.#.#.##.#.#####.#.....#.#...#######.##.##.##.#...##.#..####.#.....#...#..##.#.#..#...#...........###..#####.##.....##...##.#.#..#.....#....#.###.##.#.#####.#####.##.#..#...#.....#.#.#..###...........##.#########....#########.#########.#...###.##.###......#....#.#...##......#..##...##........######.#..######.....##.##.#.##.#.########...####........##.##.###...#.##.#####.##.##.#.#.....##.....##......#.####.##.####.#....#.#.####.###.#.#####.###.#.###...##......#.###.#.#....#.#....#.#.#......######.#...#.#.##.#............###.#############.#....#.######...##.##..#.#..#..####.#.#..#.###########.####.######.##.######.#.#.#.##...########.#.###.#......#.#.#.##.#######.......#############.####.###.###.####..###.......##..###.#######.##.#.##.########.#..#...#.#...##.#.####.#..####.#.#####.######.......#.#..##..#####.#..###..#.##.#.##.#..##....##.#.#...#.#.##.##.####..#.##.####.##.#.##.#########.#.###.##..#
######.#....#.#.#..##......#####.###.#...................##.##.#.###..#.#.....#.#..##.###....##..######.##.###...##....##.###.#######.#.###.##...###.#..########........##.###.##.#....####.....##...#..####..##...#...###.#.######.###########.#...##.##########.##.#.#............###.##..##.#...#.##.####.####.########.#.#####.#########...#.#..##.##.#...#.###............#.##.####.##....#.#.##.......#...#.#.#..###......#..#.##.#.##..###.#######.####...#.....#.#.#.##....................##......##.#######.#####......##.#...##.#.####.######.......###........#.##.###.#.....##.#.#.#.#....##.#.#.#....###.##.##.##.##.##......#.##.#.....##.##....#####.##...........###.#.########..............###.#.######.....#....#####.#..###................####.####...##########.###..#####..#....#...#...##.#.##.##.###.#####.##.#.#.##.##.###..#.##....##.....#.#.######.##.##.....##.##..#######..#.##.##.##..#.#.#.#.###.#..####....##..#....#.#..#.##....####.#.#.#.#....##
#.#.#..####.......#####.#.##.....#.#...##.#.#.##.######.############.##.#####...##.##..#####....##.##.####.#####.###.#.........#.#.#######..####.......##........#.##.#.#..#....###.####....##.#####...##.############.##..####.###...............####.#.....##........############......##..####.#########...###.##.#.#.......##..#.#.#..####...##.####....#.###...######.#.#.........#######.#.#.##.#.###...#.#.#.##.....##.#.##.#..#########...#.#.##..#..###.#.################.#.##.##.#.#.##....#.##.....##.#.#.#.#...#.##.######.##....######...#######..#######.########...##.#.###...#.#.####.##.#.#####.###..##..#############.#.#..#######.....#.##..#.#..############.#...###........#.##.######.##...###......###...##.###...##...#.#.#.#.#.##.###.#.#...#.###..#.......#.#.##.#.#.##.####.###.###.#.....####.#.####.....................##.#..##.#..##.#######.##...##########...#.###......##.##..###..##.#.###.##..##....####.##.##.##.#.##.#.##.##............##.####
#.#.##......#.###..#.#############.##.##..#.###..###.#..##...##.##.#.##.#.#####.#...##..#..##.#..#.#..##...#.###.#.#.##.######.#.#..##.#.#.##.#..#.##.#####.#.##.#.#..#.##.###.##...###..#.###.##....#..........###.####..###.....#####.###.#.#.#.#.#..#####.#####.#.#.....#.#.##...##.###..###.###.#.#.....#..#..##.#.#######.###.......##.####.##.#.###.###.#...####.....#####.#####.##......#.###..#.##..#.#.#.#####.#.###.#.########.#.#.#..#......##.##.....#.#..##..#.#.......####.#..#.#####.#.#######.##........#####..#.#.#.##..##.#..#.#.###...#####.##.#..#####.#.###.#.######.#.#.......##########....#.##.###...#.##.#.#....####.##......###.#####.#.##.#.#.#.#........###...##.#.#.#######.....#..#...##.#.#######.#..#.########...###.#.#..#######.###...####.####.##...#.##.#.#.##..##..........##.######....###..#####.#####.#.#.#.#..#.##.#..#######.#........#.....##..####.#.#.###.#.######.##...#######....######.###....#####..###.##.#.##..#.#.##.###########.#
#...###.##.#######...#.#....#.#.#......###########...##..###..........#.#...###.###.###.##.#####.#.##..###...#.....######.##...#.#.##......#....####..##....#.#..####.#.#..#...#..###.##.#.#....###.###.#######.....#..####.#####.#.#####...#####.#.##.#.#.#.#.###########........####.##..##...###...#####.##...##..#.#.#..#..#.#######.##.#.....#.......##..######.####.##.....#........#.##.#.#...######.########..#.#...#####.#.#.#........#######.......#.######..##.....##.##.#....##.#.###...#.###.##...#######.##..#######....########......#..#.......##.#.##.#.#.#.#.#####......#########.#..#.#.#...##......#.##.##........##..##..#..####.#....##............#.######.###...###########.##.##.##.##.##.##..####......##...##.##.##.#.##..####.#....#...####.#..#.##.######...##.#....##.######.####.##.#.##.##.#.....##.....#######.###.#.##..####.###.....####.###.#.#.#####......###.##..#..##....#..#...##....#######.....####.....##..##..###.##.####.##.####.##.....#
##.##.########...#.###.####.#.#...#.####.##.....####....#####.##.####.#...###.....#.....##..##.#.#.###..####...#.#..##.#.....#...#.#..##.#...##.##...##..##.##################.####......########.....######.#..###...##.#..#.......#.##..#.#....................#....##.#.#.###.###.#..##.####.....#...#######.####...#.##.##.#.#.#..##.#..#.###...##.##..##.#...........#####.######.#.##.#..#.###....#.####.#.#.##...#.#####.........##.#.####.###..##.##.#.####.#.################.#.#..#.#.###.#.#....##.##.##.##.###.#.#.##..##..#.#.#...##.#.##########......#..........##..#####.###.####.....##.#.###########....#.##.#.###.##..###############.#.###.#########.....##.###...####......##........#######...##.###..#.##.####..........########.####.#...#.#.#..##.......##.####....####........####.##.##.#.##.#..####.#####.#.#........####..#########.#####......#...#.#.#.....#.#.####.#..##.##..#.###.#.####.##.#.......#.#.#....######.####.##..##.#.##.#..........#.###
#...#.##.##.#..#...###.##.#.#...#.####....#####..##..#.###..#######...###.##..###...#.#..#.##....#.#.##.#..########......##.####.....##..##.##...##.####.########..#.#.#.##..#####..#.##.#......##.######....######.#..#.##.#####.#......##.#.#.##.#.###########.##.#......#.#...#.....#####....##.##.#..........#...#...##.##.#.#...##....#######################.#.######.#.####.....#..###.#####..#.##..#.#........#.#####.#########.#..###....#.#.###.######.#.....##.#.#...#......####.###..##.####.#.#.....##.............######.#.#...######.###.#.##.##.###...#.######.##.##.#...#.#....###.#..........#.#.....##.################.#.#.#.......###.....#.......#####.#..########.###.##....#.##.#..##.....######...##..###....#.####.#.#...###..##.#######.#.##.########.....#...##..##########...##.#............##.....##...######.#.#..####.##.#.##.........#.#.####.#############.##.....#######.#..####....###..##.#.#.##.#.##.#......#...##.###.##....####.##.##########
#.#...##.##.######......#.#...#.#.#..##.###..###..######.##.##.#....#..##.########.#####.#....##...#....##.##.#.######.######....#########...##.###..#.###.##.#...##........##...############.#.####.##.####...##.####......##.#####.#.#.######.####.#............######.#####.#.##.##.#.....#.#####..#.##.#####...###.#....##.#.###..####.#.##.##.#.##..##.##.#.######.###.#..#.#.##.##.##...#.#...##.###.....#.##.#####.....#.........#########.....##..#.#.#....###......###...####.###..####....##.###...###.###.####.#.#.#............#####....#.#.#.......##..#.####.##...#.##.###...####.##..##.######.##.####.##..##..#.##.###..#......##.####.....###########...##....##.#.##....###############.##..##.##..#########.######.########.###.#...##...##..#............#.###.#...#####.#.#.##.....#......#.###.#.#.######.##..#.#..###.#.#.##.####.....###.#####.#.###..#...##.####......##.#.###.##.#.####.##.##...##.#..###..#.#.#..#.##.#.#.####.#....##.#####...#..........#
####.##.....####...#.##.#.###.######.#..#.##...#.##.#.#..#..#..#######.....####.####...#.#######.#...##..........##....#......#.##.........#######..##.##.......#....###.##.####..#####.#.....###.#......#.##.###.##.######.#........#.#..##.##...##.####.#.#####..##.##.###...#.#..#..#.#.#.####.#..##..#####...####..##.#..........###.............###.##.#....##.#.....#.##.....#..##..##.##...#..###...###.#.#..#.....#.#...#.#.#####.#.......#.#..##.#...###.##...####.#.###.#......#.##....####......#.#....##.#....#.####.#.###.#.###...####.......#.###########.......#........###.......########...#..........######......#.##.##.##.############.#...........#....##.##.#.#####..##.#.#.#.#.##########.##.##....#.####.##.###.....####.#.###.####.###.###.##.##.##.......#####...#........########.#.#.##..#.#.#.##...#..#####.....#.#.#...#######.#.###.....#...##...#.#.......#########.##.......##.......##.##..##.####.######.#.##.###....#.###.###.....##.###.#######.#
##.#.##.###....###.####.#..#####.#.#.##.#.####...##.#.##.##.##.#..##.####.##.........#...##.##...#.#..##.###.##.##..##.##.###.###..#.#.#.#..##.....##.....#.#####.#########.#..##.#.#.#.###.#..#..#.####......#.#.#...........#.##.#.######...#####..#....#.#.....##.....#.###.###.##.########....##.#..##.....#.#....######.#.#.###..#..#.#.#####.###....#.####....###.#....#####.#.##..########.##.########..###.#####.######.###.#.......#.#.###.##.#..#.#.....###.##......######.#.#.#####.#.##...########.##....#.#.##.##.#########.##..#..##..#.###.#.#####.#############.#.##.#..########...##.#.###.###.##.#####...####.##......#####.##.#.........#.#####.##.##.####..#.....#.###..#...........##.#.#.###...####...#.#..##.#######.#.#.........#.#.#.....###########.##.#.#.....#.##.####.##........#.###..##.#.#....#.##.#...####.##.#.###.#.#........#..#.#.#.#.####.#########..##.......##.#.##.########.##..########........####.##...#########....#####.##...#.#...###.#
#....####.####.#.####.....##.....#......#.#.###.###.#.......##.##.#..####.#..#########.#....##.#.#.#.#######.#.....##..##.#...##..##.#.#.##.#..#.#.######.###.....##...##...##..........#.####...#####...####.......#.#####.###########.....#..##.##.#.##########.###.#.##...##############.##.##.##.#.######.##.#.#.##.#..#.#.#.####.##.###.#.......####.#.##.####.....##.#.......#..##.#........##.#......#####..#.....##.....#...######.######...#####.#.####.##....##.#.#........#.###..############.##.#..#..#.#######.#...#.#..###.##.###..#######..###.......#.##.##.#...####.##..###.#.###.##...#.#.##..#...##.#.###.#######.##...#.#.##.#######.#.#.##..#########.###...#.#.....##...##.#.####.........#..###....#.....###.#.#.........#.#.#.#.......###..#..........##.######.##.....###.#######.###.####.########.##.######.#.....###.##......##.#.#...##.#.#####.....##.......####.#.##.####.##..##.......##..######..#.#.##.#....#..#....#....##.#########..###...#...#.#
##.#..###.###....##.#####..#####.####.#...#.#...#.#.#######.##.##.#.##......######.########....#.#.###..#..###.#.#.##.######.####.####.#..########.#.#..###...########..###....########.#.##.###.#.#.######...#.##.#####....#####.#.#.#####.##.......#####....##......######.###.##.##.#.#...####..#####.#.....########.##.#######.#..##############..............##.#.##..##.##.#.#######.####.#..#.#.####.####..####.#..###.#.###.#........##...###...###.#.....##################.#...##.#.#.##.###........##.####.#...#####.#.##.#.#..#.#.##.#.##....##...#####.#.....#.######.#####.#............#........###.##....##....#.#...#..#................#.#####..##.#.##......#.######.########.#.##.#########.##.#########.##.....#.#######.#.########.##.######...#.###.##.##.#..######.#.#.#....###....#...#......##..#...###......####.##...####.##..######.##..#.##.####.#####.#.#.###.######.#.#...##.#######.####.#..##..##.#..####.#.##.##.#...####...#......##.#.##.######.#
#..##...#.#...##....###.##..##...#.####.#...###.#.#.#..................####.##........#.#...#.####.####.##.....#.#.#..#..#####......#########...####.#.######.##.....##.....#.#####.###...##..##.#.#.####...###.##.#.....#.##.#.#...#.#.....###.##.#.###.####....##.###..........#..##.#.###..#...###.#....#.#.#..#.#.#.##.##.#....##.#.##.#########.##.#.##.#.##..###..##.##..###....#.#####...#.##.#.#.......####.##.##..####.##..##.#.#.######...###..#####.#.###...#.#.#.#.......#.###...........######.#.#...##....####.............####.......##.#.##.#.##......#.#...........##.....###.#.#.#.###.##.##..#######.######.....#.#######.##.#.##.#.#.#.....##......######.####......#.#......#.#..##.#...........##.##.#####.##...###.....####.#####.#####...#.#.##############........#.###.#.##.####.##.###.##.####.##########.#......##.#.#....######.#....##.###...........#######.#.##.##..#...#..###.##.....#.#.##..##.##.#.##....#.##..#.#.#..##..#.#.#######...##...#..#.#
##.####...#########......##..###.#.#.#####.##.#.#.#.#######.##.#.#.#.#.##############...###.#.##...#.......#.#.######.##..#.#####.#.#.....#...#......#.#..###..####.##..##.##.#.........#..##......#.#....#####.#..##.#.##.#......#...#####.#....#.#.#.#......##.#....###.#.####.#.##......##...#.....####.######.....#....##...##.........#.#.......#######.#..##..##.##..##.##...##...#.#...#.#..###########.#.##.....##.#....#..#####.####.....#.####...#.#####.#.###.......#.#.#.###.###.#.###.#........#####..##.#..##..#####.##.#.##.##.#.#.#....#..#########.#.#.##.#.#.#.##.######.#####.###.##..##.#..##.......###.##.###.###.......##.#.#..###.#########.###........##...#.##...######.####......#.#.####.##..##.#..#######.....#.#.##....#.#..#.....#...#####..##.##.#.###.##.#.#.#...#.#.......#..##..#..#.#..#.#.#.#.####.##.#..##########.#......#.########.##.#.#.#..##.............##.#.#.##......#.#...#.###.#..##.#..#.#.##.#..######.####.#.........##.####.##.####
####.####.#.###.#...#.##....##.#......##.#.##.......#.#......#####.#.#.#..##.###.##.###.#...#.##.#####.#.#.#.#.##.....###.....###.#######...#####.##...#.##...##.#...########.##.#####.###..#.##.#.....#.##.....#.##..#.##.#.##.#.#.#...##..####.###.#...#.#.###.######.#####.........##.############..#.############...##..##########.#.#.....#.###.#...#...#.####.....##.#...###.#..###...#.#.#.###.#.#.#.##.#.###.#.##..#.##.######...##...###.###..###.#.##..........#.#.#.###.#..##..#..###...##.#.###.##....###.##....#####..#..#.....#.###.##.#.##.##...##...###.#..#.#.#.#.....##..#.##...##..##.#..##..##.####..#...###########.#.#.#..#.##.#...######....#...#.##.#####.#######.#.#######.##.#.#####.#.#...##..#.##.#.#.#####.#.###.#..##.....###.#.###.####.##....#.....#..##.#.#.##.######.######..##.##.#.##.#.........#..#..#.###.##.#......#.#.####.###.#######.###.########.###.#.##..#.#######.#.#.##.##.#.....##..#.####.#..##...##.....##.##.##.##.##..#.#.......##
##..........#.#...#########......##.#.......######.##.##.#.#.##.#########............#....#.#.#####..###.#.#####..#.#..##.###...#..##.########.#######......###....#......#.######...###.##.####.#.#.###.#..#.#.#..######..############..#####.....####.####.#.#.#......##.#####.#.#.##...##.#.#.#####.#.###.#.#.###..#####...##.......####.######...#.#...#.#...###.##.#..##.##...##.##..#.#.###.##.................#.##.#########.#..#..##.##.....##..........##.#.#.#.#####.##..##..##...####.#.##########..#.###..#..##.#.....#####.#.###.#...#..#.#####.#....#...###.##.###.#####....##..##.######..######.########.##.##...........#.####.#.####.#.#....#######.####..#..####.#.....#.....#......####..###.###.#..##.#............########.###.#.###..###.###....#..##.#####...#########..#.#.####.##...#####..#......#.#.###.##.##.#.##.......#.#.####..###.#.#.#.#.#...##....##..######.#..##.###..##...#.#.#...#.#####..##.#.#.##.#.##..#..###.#.#...###..##..##...##.##.#..#
#..######.#.....####........###########.#.#.........#.########....#.##..############.####.#.###.#...##...########.#.####..#...#...##......##.#.#.##....##.#.##..##.##.###....##..###.##..........#.#...####.###.#.########.##..#.#.##.#.##.#.###.####.###.##.#...#.####..........#######.##....#....#................####.###....###.####...##.....#.#.##.########...#..##.#######..#.##.##.#.##...############.##.#.#..###...........#####..#..##.######.#.#.#.##.###############.#####..####.#####..........##.#.##.#.#######.#.##....#.#.#####.#.####.....####.#.########...###.....##.#..##..##.#.######.##..##......##.###.#.###.##.#.##...#.#....###.##....##.####...###..##....###...###...##.#.##...##....##.#.##....####.#####.##..##.###.#.#.#...###...#####.##.##..##.#####.##.#....##.#.#.#...##.###.########.#.#.#.##.....#########.#.#.######...##.............#..#.######.#.##.#.##.#..####....#.#.#.#.#.#####...##..#....#######.##.##..#####..###..#.####.##...####.#
#######...#.#.####...#.##.########.#.#######.##.##.##.#.#.#.#####.#..##..###.....##.......#..##...#..##.####.#.#..###....###.####..##.###...........##.##.#.##.#########..##....###.....##.#.#.#.#.##.###....#######..#.######...#.#..........####.....#...#########....######.#...##.##.#####.####.#.#.######.#####.##.......#.##...#....#..###.###.######........#.##.##....##...##..#.##.#.##.#.###.##........#.#.##...#####.####.##.....###.##.#......###.#.#..##...##.#...##..#...#####.#.##.#..#.####.###..#....#.#.##....#.##.#.##.#..##...############....#.##.......#.##..#.#.##.##....##..#.#.##...########.##....#.#####...##.######.################....#..#.###.##..####.##..#####.#.#########.#####.........#.##....###...###.##.##..###.#.####..#.......######.#...##......####.#......###....##..#.##.....#.#######.####.####....###.##.....#..###.#.######.##.####...#..........#.#.##..##.#.#.#.#####..##...#..##.#.#.##........#.###..#.###..##.##....#.###.###.#.#
####....#.#####....#.######..............##...#.#............##.#.##.###.....#.#..###.#.#.#.########....#........##...#.##.######.###########.####.##..####.####.###.#.##..##.#.#.##.##.##.#####.#.##.##..#.##...#.##.#.#....###.....#.###.##..#######...#..#.#.#.#####.##.....##.##.....#.#.#........###......#......##############.####.#.##...#....#.##########.######..##.####..######..#.######.#....###.#.##.#.#..###..####.....####.##...####.#.##.##..#########......#####.###..............####....#######.#####.#..#.##.#..#.##.##....####.#..###.####.##.##.#.##.####..#########..##..##.#....#.#.....#.########.#..#.#..######......###.####.##.##.####.##.###....##.###..######....###.....##...####.###.#.#.#.###.#.#...#.#.......##.....###....###.#.##...##.#.###.#######.#.####.##.####..##..##....##.#.##..##...######..#.##.#..####..#.#.######.#.##.....##.#.#..#...#.#.#.#.##.#.###.##.#.#.#.##....##..#.#.##..#.######.####.###.##.#...##..####.#.##.#....#..#.#
#..####.#.##.####.#####.....##.#.#.#.#.#....#.####.#####.###.......#..####.#.#.##.....#.#.####.#.....#.##.#.##.#####.#####.##.#....#.#........##....##..###.#.##.#........#####.#.#######...##...#.##.#..##..###......#.###.#######.##.##..#..##.##.##.#.##.......#.###.##.##.#######.##.......#.#.#.###..#.#.######.#########.#.....#....#.####.#.#.##.#.##...##...##....#####..##.###.#..####..##....##.#...#.#..#.##..##.##.####.#.#########.#....#.#########.##.#####.##...#.###.#########.######.####.##.......#.....##.#.#..##.#.#..###.#.#....#.##.........###..########..##.#.#.###########.###.#####.#.##.....#......##...####.##.####.#........##.............###.#........##....##.###...###..###.#.....##.#.#####...#.###.####.#.##....##.##...#.##########.###...#.#.#.###.#...#.####.......##..#####.##..#.##.##..#......##......####.###.###.##.....###..#.#.##.#.####.#.#.#.#.#.##.#.#.#.#..#.#.#.#..#.##..####..##.#...##....##...##......#.#..##..#########.#...##.#
##.##.#####.......#.#...###.#..#.#.#.#.#.#.##...#############.####.#.##....#######.##.#.#####..####.##.####.##.##.######........####...##.#.#.##.#.##..##.###.#..#####.#.###........#.....######.#..#.##.#..##.###.##........#.#....#####.###..#....##.##########.#.#....######.##.######.#.#.##.#.###...######.#.#..#.........#########.##.#.#########.#.#..#....#.###.#.##....##..#...####.#..##..#.#######.####.#.##.##........#.###..#......#.#.####...##..........#######.#.##..#.#..#....#.#......#####.#.#.#.#####....####.##.#.####.#.#.##.#......##.#.##..#####...#.#..##......#.....###.#..##...##..########.####.####.#.#.....##########.####..#######.#.###.....##.##.#.####.#..############.....#.##.##..#.#..##.#.#.##..##.########.##..###.##..##......#.#.###.............#........#.#######.##....#####..##########.#....##.#.#........###..####.#######.######......#.#.#.#.#.##.###.....##.#.#.#.##..####....###.##.######.#..#.###.##.##.##..##.##.##.#.#.##.###.#
#...#.##.##########.#####...##.#.###.###.########.#.....#..#...###.#.#..#.###..##...#.#.#...##.#.....###....#####.#.#.#..#####.#######.###########.#..###..#..##.......###...#.#.##...#.#.##.###.#.####..#.##......###.#.###.....#.##...###.##.##.#..####.#####.....########.#..#..#.#....######.#########.##.......#####.#.##...........##.#...............###.#.#.#...#..##.#..##.###......##.#..####.##.##.##.######..##.#.#.#...####...####.##########....#.#.####...#.....#..##...##.######...#.##.#.#.#########.....##.##...##.###.##.########.#.#.#####..####.##..#.....##..####.#####.....##.#..#..##.##..#.##.#.#.....#########.##....##.###.###..#.#.##.###...##.##...###...#####..##..####....#.#...##.###.#.##....#######.#..#..##.########...#..########.#.#.....#.##.#.##.#.#######.##.#.......###.#.......##..#...##########..#######.##.#...###.###........##....#.##.#####.#.#.##.###.##.#####.#.#..##..######.#...##...#..####.#..##..#..#####.....#..#...###..#.###
###.#.#...###.......##....#.############.##..##.....###.##...###.....######.#.##..#.#.#####..#...#####...####.#.#.......##.##..#.......#.#.#....#..####.##.##.#####.#####..#.########.#.###......###..#########.##.#.#######.#.#.#..###.###.#...####..##..#...#####.#.##.#.#.##.##.#...##.#..#.#####........####.#.##.#####.#..#.#########..######.#.##.#.#...#####.###.#.##..##....#...#.##......##....#.....##..#.##..#####.#.#.###.#..###....##.#.#.#.##.########.#.#.#####...####.##..#......#####.......#.#.#..#####.#..#..#..####...#.##.##.#..#.###.#...##.....########..##.#....#.#.#####......###.....##......#.###.###..#......#####.....#..#.##.#....####..#.#...##.##...###.#.##..##....###.#####.#####...#..##.#..#.##.####.##..#.#.#..##########.#..........##.##.############.......#####.##.##.#####.###.###...#...##.......###.#.#..#..##.##.......##.#.#.###.#.#.#......#.###..#.#...##.#.#...###.##..##......#.#..##.##.###...####..###.....##.#.##.##.########.###
#.....##.##.##.####.#####.###.#.#.........##..##.##.#....##.######.#........#....##.#.##.###.#####...##.####..#.##.##.#.#.....##.#.###.#...####...##.................##.########......#.#...#######..##.#.#.#.######.........#.#######......###..#.#.####.###....##...........#.#....#.#..##....#..#####.#.##.######........##.#.#.........######..####.####.##.....#...#.#######.#.###.###..#.#.######.####.####...###.#.#######.#.....#####.###....#.#..###..........#...#####.#.#...##.#########.#..#.#.#...#.#.##.....##.#.##.####..#...........######.###.###.##.#.#.##...########.#....##.#.#.#.######.#..#####.##.#...#.##.######...#######.##.#......##.##...##.###########.#.#......######..####.#.###.##########..#.##.....##...##.....##...#.##.###.######.#.#..######.#.##.#.#...#.#.####....#####.#.......###...#####....#.#.#.##......###.#..##.#.##.##..#.#.#...###.##.#.#.#.#...##.###.#....#.#.#...##.####.#.#.####.##.#..##..#...##.###..#.######.......#..........#
#.#.#.....#.#..#.....##.#.##......#.##.#.####....##.####..###...########.##.###.#######.........####..###..##.#..##########.#.##.#.#...#.#..#########.####.#######.#.##.##..##...#############....##.#..#.#.#.###..##.#.#########.#.#..####.#.##..............##.#..###.#####.....##.####.#####.##.#.#.###.#....#.########.##..#.#.##.#.#.##....#####....##..##.#.####.##.#.......#.#...####.#.#.##...........#.###..####....#.#..#.#.####.####...##.....#####.#.#.#.#####...........#..#.#.##..#.....##.#####........#.#.##.#..####.########.#.#####.##.......#.###....#....#.##.#..#....##......#######.#####...#.#.##.###...##..##..##.##.##.....#.#########..#.#..#.#.....#.#####.######.##.#.#.##.##.#.#...#.###..#.###########....#..#####....#....#...#........#.##.#...........#...#.######.###.##.....#.#.#.#.##..#.#...##.#.#.#.#.##.###.##...##.#..#.#..#####.###.#.##...###.#.#.#.#..#####.##.#.######.##...##..#.#.##...##...####.##.##..#.##.#...##...###.#...#.#.#.#.##
#.#######.#...##.###......##.###.#####.#...###.#.#..#..##.#####.#.########.......##..##########..####..###.##.#.####.#.##...#.#..#.##.#####........#####...##......###..###..#########.##....####.##.##.....#.#.#.###########.#...#.######.......###.#.#.#.####....##...#.....##.##########.###.##......##...##....##.##...###.#.######.#####.#..###..##..##..######.#.#####.###.##.###...###############.##.##...##.#.#####.#.#.#######.#.#.#######.###.#..###########..#######.##.###......##...#.#..#####.#.#.###.##.#.#..##.#.............###......#.#.#.#.#..#####...##.#.#..##...#####.##.#.##.#.#...##.###...#.##.#.#.#####..#.##..##..#####...........#.#####.#######...#.###.##............#.........#.....##.......#.#.#.###.###.......#.#####...#.##.#.#.###.#..##.#.######...###..##..#.....######.#################....###.#####..#....##.##..##.#.##.#.......#.#..##.##...#.#.###.##.....##.#.#..#.#..##.####.#.#..###.##.###..###...##....#.#.#.##.#..####.#.###.#.#..#
#.##........#.#...###.#.#..#.##..##....#####.#.#######.............#....#..##.#.####.#.#.#.#####.#....##......#.##.#.#.#..######.########.###.####.#.#.###..###########..###..............##.........######...#.#.#..#........###.#.#......##.##..##.#.######...##..#########.##.#..##.#.##.....#..##.#....#..##.#.......###...####.........####.....###.##..####.......##...##..#..##..###.#.#..#.#......#...###.##.#.#.###...######..........###...#.....##.#.#####.##.....##..##..#####.#....#.###.##.......#.##..##.#.##..###.#.#.###.########.#.#...#.#.####.#.##..#..###.##..#.#.####..#..###......#........#........#.#.#.#.##..##.##.##.#...#######.#.....#...##....###.#.#.#.#..##.#.#.#.#.###.#.#.#####.###..#####.............###.##.####...#####.########...##.#..#.##.....#.##..####.#.##.##.###...#.#.###.#.#.#.#######...#..###.###.##...##.#..#.#######.#.##.#.##...###.#.#.#...##.##.#####.##...#.#####....#.#.##...##...##..###.##..####.#.#.##.##....##############
#.##.#####.##.##.##.#.###.##########.#.###.#...###.#.##.##.#######.####.#.###.#.##...............####.#######.#........#####.#.###.....#..###.#............##...#.......##.###.##.#.#.###..##.##.#.#....#...#...#.##.#.#.####.#.......###.#######.#..####.#.###.#..##.........#..##.........###...##..####.##.#..##.#########.##....#.#.######.#####...#..#####.###.##.##..#.######.###.##......##...##.#.#.#.#..............#..#.#.##########.#.#########.##.#..#.#...#.#.#....##..##.....####.#.##...####.#.##.###.##.#####...###########........#.##.#######......##.#####...##...#.#....###.#...#.##.##.##.#.#######.#............##...#..#.##.###......#####.#######.#.#.#.#.#.#.#######.#####.....#.#..##.#.....####...##.###.##.###....###.###.##.##..#.#.#.###.##..#.##.###.##.#..##.##.....#..##.....#......#.........##.....#.##.....#...##.#..####.#.#.......#.###########...###.##.###.#......#.#..#.......##.##########.#..#.###......##....###.###..#..##...###........#
######..##..#######...#####.#.###....###.#.###.#.........####.......##....#...#.####.######.####....#.#.#.##....##.###.#.#.#.#.#######...##.######.#.#.##.#####.#######..#.#####..########.#..#..#.####.#######....#.######.....###.###...##.#....#.###.........################.##.###.#######.#.###.#....#..#.###.#..........###.##.#...#.#...#....#.####.#.#.#...#...####.#.##.#.#.#.#..####.#..###..#.#.#####.##.##.#.#.###...................#.##...#.##.##.....#...#.#.#.####.#..#.#.##...#.###.##....#.##.#....####.###.####.........####.########.##..###.##....#.....#####.##.#.#.##.####.##.##.#..##.###.#.....##.###.#.#.#.####.#.##.####.########.##.....##.###.#.............#...##.##.##.#######....#.#.##...#.#..##..#####..#.##.............##.#.#.#.#.#####.####.###..#.###..##.#.##.#######.##.###...##.####.#..#####.#..##.##.#.#..#.###...###.##.#.##..##.#.......#.##...#.#...##.#.######.#.#.######.##.........#.####.##.#.#.###.###.....##.#.##..#.....##.##.##
#######....##.....##.##..#........#.##...#.#.##########.##....#####....##.#.#.#.#....###.##.#####.#..........#.#####.........#.#..######.....#.#####.###..#..#....###...##....#####......#######.###.....###.#..##....#.#.#####.##..#...#.#..##.#.#.#...######.##....#.#.........#####..#.......#..##.#######.###.#####.##.#.#.##..#..#.###...#...##.#.##.........#.##.###...#......#...####......##...####.###.#..#.#..###.#...###.####.#.####.#......#...#.....###.#.#######..#.######.#..##.##.#.######.##.##.###.##........##.#####.###.#....#..#.#....##.#.#####.#.#.#######....########.##.####.##.#.######....##.##..#...#####........##.#.##.##.......#####.##..##....#.#.#.###.#...#.#......###.####..##.#.#.#..#####.####.#.....#########.#.#.#.#............#..##.#....####.#.##..##..#.#..##.#....####...#.#..#......##..#######...#.#.#.##.#.###.##..#..####.##....#.#.#.#.##.###.#.#.#..#...##...#.#.#......##.##.##.###.#.##.##.#.#.#.....####.###.####.####.#######..#
#.##..##.#..#.###.....##...#.#.##.#..###......#.#####.#..###.###....##.##.###.#.##.###......#...####.######.#####.###.######.#...##..###.#.#.....###.##..###...#.##.###.#####.#.########..#.##.#########.......####.#...........#..####.#.##..############.##...####...##.#.#.##.#.##..#######.##.##..#........##..#.#..#..#.#.#..###.#.##..#.##.#####..####.###.##..#.##..########.###.#######.#.###.##....#.....#####.######.######....#################...#.#.#...###..##...##........#.###.##.#.###..#..#..###....####.######..##.###.#########.....##.......#..###.####.##.#######.....#.#.......##.###..#.##.#.#..#..##.#..##...######.##....#..#####.#..###.....##..#.##.#####.#####.#######.##....#.##.##.###.##.##......##.#.##.##.#.#.....#########.#.#.####...##..##.#......#.#..############.####.#....#.#######.#######...#.####.######..###......#.##.###...##.##.#.#.#.#..#########.##.##.##..#.#.######.#.##.##.#..#........##.#.#.###.####.###.####.####.........#.##
#.###.##.#.#####..##.####.##.###..#######.#.#...........##...#.####.##..###...#..######.#.#.###.##.###......#......#########.###.#..##.#########.#.#..##########.........##.#.#.#.#...###.#.#..###.###...##.####....##.#.###.#.##.##.####..##..#.#.#.#.#...######....#....#####..#....##.......#...####.#.#.######...#####.#.####..##.#..####.##.#.....#######....##.########.#..####.###...#...#.#...#..##.###.#..##.###.##.#.##...#.##.###...#.#.........#.############....#..#####.##.#.#....#.#.#.##...######..#.##.####.##.##.#...#......#...####.#########.##.##..###.....#.###.##.##.#...#.##.########......#.#.##.##..#.#######......#####.##.#.#...##.#...###....##..####.##.###.####.......####......#...#######..#.####..#######.#.########.#.##...#####....#####.######.#.####.##.###...........#####.####...#.#.#.......#........#.#....##...##.#.###....#.#.#..##.###.#.#.####....##.##.#..#####.#.##.....###..####.###.#.#.#..#.###.##................##...#.##.#.##..#
#.#......#.#.#...##..#..#..#.####.##.#..#######.##.####.######......##.##...#.#####..####.###.......##.#.##.####.#...............##.#...#.##...#.#.######.#......#.#.#.#........#.##.##...#.#.##.#.#.#############.########..###..#.....######...#.#...###.#.#..#######.#.##.###.##.#.####.#.#.##.###########..##..#..##.#.#..##..##..#####...#..##.#.##.......##..####.###.#.##.#.#...####.###.#.##.########...##.##.....##.#####.#######...#...####.##.#.#..##....#.....#.##.##......#######.####...####...##...####...##..........#...####.###....###.#.#......#....##...#.#.....#.####....###.#..#........##.#.#.####.#..#####.#######.#...#.#.#..#.##.##....#.#...#.####.#............##..#.#.###########.###..##.###.##.##...####.#...................####.#..#.########......###.##.##.#...#.#.#####..#.####..###.#.#########.##.#.#.#...#.##.##.#.#..#.##..##.########..#...#.#....##.#.....#.##..##...#..#####...####....#.###.#########...##.#.###########..##.##..#########
#.######.###...#..#####...####.#####...##........###....#...#######.##.#..#.#####.#.##.####...#.###....###..#....#####.#####.#.#.##...#......#...#...##.....#.##.##############.#.##..###........#...#.###.#...#.####.......#########.###..#.###.....#.......##.##.##.#.#.#......#..#.#....#.###..##...#.#.###....###......######..##..##...#.##.##.#.##.#.#.#.#..##...............###..##......#.####.....###.##########.##..##.....#.###.#####.##...##.#.##.#####...##.#####.####.#.###.#....#.####.#.#..###..#.#....#....###.##.#.##.##......####..#....####.#...##.#..######.##....##..##..#####.#######.##..#.#.#....#######..........###.#.#.##.#.####..##.###.#.#.##...###.#.#.####....####.###..........##.##.......########......#.#.####.#.##.#.###......##..#.##.#..###.####.####....#.#.#..#####....##..###.....#.######.#..#.#.##.##.#..##.####.########.##.#.####.#.#.#.#.#.#####.#.#.###..##..#.#.##.....#..######.#..........##.#.#.##.#...........#.######.###.##.###
#..........###.######.#####.##.#.#.##.#########.##...##.###.#.##....#########........#......#######.##.####.####.##....#.#...###..#.####.#.#####.#.####.##########......####.........##.########.###.......###.#.##.##########..###.....##.....####.###.####.#..........#####.##########.#.###########.........##.#...##.#......###########.###..##.########.#.##..######.###.##.#.....#######.####.######.....##.#.#.....###....###.......#........####.######.##..###..##.....#######.#.####.#........##.#.#######.#.####.##..#..#.#..#######..####...##...##.##.#####.##......#..##....####.#.....#........##.#.#.#.#.##...#...#.###.####..........#.#.#..##..#...#.#.#..#...###########.#.#.#..#.#########.###.#..#.##.###...#######.##.####...#.#..###...#.##..##...##.#.###..##....####.###.###.##...##.#..##...###.#..........##.#.###...####..####.###..###...##......#.#.###.###...##..#.#..###.#..########.#.###.#......#.##.##.#####...#.#..#.##.##.#.#####.#.............#
##.#.##.#.##...##......#....#......##...##...############......####....##.....#.##.#...###.##........#.#.####....###.#.#...######.####...#####...#..#.#.###..##....##.#....###.#####........#....#...###.#.....#.##.....####.#.##.####.######.##.####...#......#.##.##.##.....#..........###...........##.#.##.##.#.###..##.##.###.###.##...#...##...##..###########.#.#########.#.#.#....#.....##....#.#..#.#.#..#.#####...#######..##.##.##.##.##.#....#.........#####.###.####..............#.#.#.##........#.#.###.#....###.#.#######.#.####...#..####.#....##.#......#.#######.###.#....###.#.###.#.##.###..#.##########...#####.###.######.#.##.......##..####.#.#.#####.###..........#.#...##.#...........####.###..#...#...#.....#..#....######.#...#.###..####.##..####..#####.##.#####..###.####.#####....#.....#.###.###.#######...####.####....####.....#####.#.#...###...##..####.##.##.#...#.##.#.#..###...###.##.#.#.#..##..##.###.####.#.##.#..#####...###.#.#.##.##.#
#..#.##.#.##.#######.#.##.#...##.####.######...........#######......##..###.#########.######..##.##.####.#.#..#.##.######.##......##.#######.###.#.##.###.##..#.##########..####.....#.####.####.#####...#.#.#...######...........###...##........###.#.####.#.######...###.#.#####.##.###...##.###.##.#..#.#..##.###...########....#.....#####.##.####.##.............#.#.......######.#...#.#..####...##.###.##...#..####.##.##.##.#..##..#.#..##.##.#.###########......##.#....#.#.#.##.###.###.#####.#.##.##.......##.#.#...#######..........#...##....###.##..#.###.#####......#.###.#.##...#####.####...#.######........####.#...#.........#.#..#.#.#..##.#....#.#####...##..#######.##.###.#....####.##.####...#...####.#.#...##.##.##.##.#..#...##.####...##....###......##.#.#..........##...#....#.#.#.##.##.#.##.#.....###.#.....#####..#######.#.#..#.#.##....#.###...###..##.#....##.##.###.#.##.....##...#.##...###.#.##..##.##......##..#..####.....###...#.#.#.##..#.#
####.##.#..###.......#..#####.#...##...##..###########.#...#.###.#.######.####.##.#...#......######...##.....##.#.....###########.....##............#.##...##.######.#..###..#####.#####.##.#.#...#.############.#.##.########.####.###..########.....####...#.##.....#...#.###.....#######.##..#...#..##.#.##.#..#####......######...#.#.##.....####.#..#############.....###.#.##.....##.#####.##...#....##...#.#...##.#...........##..##.###.##..####.###.........##.#..####.#.########.##...####.....#..#.####.#.#.#..####.###.#.#..###########.####.###...#..####...#.#.######.#.....######.#.....##...#.#.#....#####.#.##......#...#.##.##.########.##.#######.#.#.....#####.#..##....###...##.#.#....#...##..####.#############..#..##.#..##...#.##.#....#..##.###...#.##.#......##.#.#.###..#.#.##........####.#.#..##.##.#.....#.###.....##.....#.....##.######.##.##..#.##..###.##.#..####.#...#.####.#....#.#.###.##...#.##.###..##.##.####.#.##....##.###..#...#.#..##.###
#.....#.#.##...##.##.##..#.##.###..###..#.#####.#......###.#.#####.##......##...#...###########.#.###.#..##########.#..#.#.....##.###..#####.#.####.#..###..#..##......##.##.#.#######...#......#.....................#..###....##..#.##.#...#.##.#.####...#.#..####.###.##.##..#.#.#.#......##.#.#.##.#..#.##.##.#.....#.#.##......#.#.##########......###............###..##.########.#..#.##..#..#.##.###..#.#####......##.#.###.####..#.##..#####.####...##########.##.##...#.##.......#..###.#####.###.###.#..#.#######...#.......##.........#....####..#.#.##.#..#.#.....######.#.#.##.....###.###..#.#.#.##.#.......########.###.##.#..######.#.#..##.#.......#.##.#.###.#####....##.####.###.#####.###.####.##.###.#...##.#....###.#..##.#..#.###..####.#.#####...#.###..#.###.##..#.#.##..############.###..#########.#######.##...#.#.#....###...#.#..####.#...##.###.#..##.##..#..##..#.#.##.####.#####.#.#.#.#....##.##.#..#...###.##.#....#####.#..#...#.###.##.##.##...#
##.##.###.###.##..#..###.#.####.#.####.##.##..#.######..............##.#.#.####.######..............#######...##.#####.#.#####....###.##..#..###......##.##.#.######.#............#..###.####.######.#.###.##.####.##.##.#.###.####....#.###.#..######.##.##.####.....##..###########.####.###..#.#.#..##.###..##.#.#.###.#.#..#.####.###..#.########.#...##########.###...##..###.#....##.#....###########..#############..######...##..##..####..........#.#..........##..#.#.#.#..#.###.##.##........#...##....######.#.###.#.#.#.#.#..#######...#####.##.#.####.##.#.###.#........##########.##...###.#.##################.#....#...#..#.##........##.#####.#.##.#.#..#.#...#.#.##.#.#..#....##..#......##..##..#......##.##..####.#.#.##.#..##.#..###.##...#.#.###.#.########.#....####.#.###.#.#.#.#.###...###..#.#.##....##.....#..########.#.####.##.#.##......#..###.#.#.##...##.##..##...###....##.......###.#.##.###..#..#.##.#.#...#..####.##.#..#.########....#.##..#.#.#
####..##....##########.#....##.....#.#.##.###...#.#######.#.#.#.###.##.###...##...##.###.##.#.#.##.###..#...#......#.#....#....####....##.##########.###.##.#.##.##..##.##.######.##.##.....####.###.#.#...####..#.#............######.#.##....####..#.#..##.##...#.#.##.##.................##########.#########..#.####..#.#.##.#......##............###.#.##....#...###.######.#.###.#######.##......#....##.##.#........##......#.#..###.##....##.####.##.####.###.#.#..##.#.####.####..#..######.#####.####.#.#.#....#.####################.###.##.#.....####....###############.##....#########.##...#####...#.###.####.....#.###.##.######.#####.......##.#.#..#.##.#####........#.##.##.#.#..####.#.##..########.##....###.######...#####.#####.#....##.##.#.....#.#....###.##.###....###...#...........###.##...#.####.##..##.##.###.#.#...#.#.....########.##.#.##.....#..##.##..###..##.##...#.##..#.###...#.#.#....##.#.##.##.####.##.##.......##.#......##..#.##.##.##.#.#
#.###.##.#.####.###......##....###.#..........#...........###.#...#..######.####.##..#.###########.#.##.######.###.....##.######....##......##.##........#........#.##########..#.##.######..#.....#######.#....############.##..##......#####....##.#.#.##..######.####.##.#.#######.#.##.##..#.....###....#.###.#.#....##.#.#..##.#.#####.##.#.#.##.#........##...###...##..#........#.#......###.##...##.##......####.#.######.##.##.#.#####.#.#..#.....######.#...#.#.#########..###..###.#......#.....##...###.####......#.#...................##.##.#.###.####....#...##........#.##.....##.....##.##...#.#.#........###.#.###.###..##.....#.....#.##.##..#.##.#######....#####.##.#..##.######....########.##.#####.##.#.#.#..#######.#####.#.#####.##..#..##.#.#######.....#...##.#.############.##.#.##......#.........########.#.#.....#.#.###.#..##......#..###..#.#.####...##.#.##.######.########.#...#.######.#..#.#..###....##.##..####.##..####.#####..##.##.##..#####
#.....##.####.......#.##..##.#.#...##.#.##.##.##.#.##.#.#.#...##.###.###.........###.#.##.##.........##...##.###...###.#..#.#.####.####.#.#.....########.######.######.#.###.##.......######.#####..##..#######.#.##.##.##.#####..######.#.######.........##.#.........#.#######......#..#####...###.....##...#...#.#.#.#####.####..#....#####.######.##.##.##.####...###.###...##.##.##.###.#.##.#####.##...####.#.#....#.#.......###....##.#..#######.#.##......#####.#..#.#.##.##.#...##.#####.#.###.##..###.##.......##.#...#####.#.#.#####.#.#.##....####...#.#.##...#....###.#.#######.#..##.##..#####.####.########.....#.##......####.##.##.#.##.#..###.#.####...#.#######....#######...#.######.#..####.....#.#.####.......##.#......####.#.##.##.##.########.##..#####.#.##.##..#.#...#.#.#.#..###############.##.#.####.......#...###.#.#####.#.#####.##.##.##..##.#.####.#..###........##...##.##..#.#.#..##....####.#.##...##.#...##.#....##.##........##.##..#.##.######
##.#.#####....##.######..##..###.#....#.#..##..#############.###..####.#########.....#.#...#########.###.##..####.##.####...#.#..###.##########....##.##.###.......#.#........####.##.........#.#..####.#.##.......#.#..#...#.###..##.#..#........###.##.###########.#####.##..###.##.#.##...#######.##.#####...#####.#...######...#######.....##.#...#..##.####....####...####.##.#..#......#.##..#.....########.#.#.#.##.##.##.#..##.####..#.####.....#.##.##.#####...#.##.......###.#.#..###...#.#.#####.#....######.#####.#..####.#.####....#.#.#..#.##....#......##.##.##.##..#.#.#..#####.########..#...##.....#.#.##.#.##..####.#.#.#######..#.#..##..######.####.......#.##.#...#.####.##....#...##.#..#####.....##.###.#.#..#.##.#.#..#............###........###.......#.##..#.######.#.#.....##...............##.#.#....#.##.##.#.##..####....#.##....##..#.###.#..#.#....##.##..#.#.##..###.#.....##.#.#.##..##....#.######.#####.######.#.##.##.#.##.#.##..##.#.#.....#.#
#..#.##.############....##..###..##.#.#.#.######.....#.#.#.###.####.##........######.#.#.###..#..###.....###.#.#####.######.....####...#....###.##..#.#......#.###.....######.#.######.#.##.#...##.##.#.#..#######.#.##.###.#.#.##.##.##.######.#.#...####.#............##.###.#####..#..###...##..####.##....#....##.#####.###..####......##.##....#.#######.########.##.##.##.#..##.##.##.######.#.######.......#.#.#############..#.#....#####.#####.###########.###.#########.#########.#.###.###..##.#########...###.######.#....#.#....##.############.#####.#####.#########.###.##...##..#.#..####.###.####.#........###..###.#.#.#.........##.#.####..##.....#.#.#.###.#.#..##.##....#######.#####..#.##.#.#####.##..##.###.##.##.####.###.##.#.#.######.#.###...###.#.#.#.###.###.#........###..##.#########.#.##..#.##.#.#.#...##########.###.##..###.###.####...##.#####.##...##.#.#..#.###..########.###..#####.##.###.......###..##.....#..######.######..##..#.##.##...#
##.#.#......##..##.####.###.#.####..#.#.#.#......###.#.#.#.###.###...########............#.##.##.#...#.#...#.#.#.#.....##.##.##..#.###.####......##.....##.#.#.##..#.#.#####......##.##########.........#.##..#......##...................#####.#.#.#..###.###.##.#.##.##............######..#....###.#.##.#.##.########........###.##.#.######..##.#..######.#.#.........##....##.#...###..#.#.#..###....##.####.#.#####.##.##.##..##.##.#..##.#.#.#######.#.##........#.........##..##............##..............#........#.....#########.##.##.........####....##....#.........##..####..##.#.##.#.#...........###.#.#.########....#.##.#.#.##..#.#.#....##..#.#.....####......##...##.#####.##...#.###........##..#..##....##......####.#.....##.######.....#.#...###...###.#.#...##....##.#.#####.##..#.........#..####..#.#.#.##.###...#.......#.##.#######....####.##.#.....##.#.#..#.##.#...##.#..........##.##.....#.##..##.#.##...##..###.#.##..........#####..##..#####.##
#..########..##.........#.#.#......##.#.#####.#.##...............##.##......##########.#......#....###.###.#.#.#.#####.#.....###....#..#....#.######.#.#####.#.#..####.#.....####.##..#.#.##.##.#######.#..##.####.#..######.#.###.##.###.......#.#.####.......#..#.##..######.#.##.##.#.#..###.#........###.#...##..#.###.##.###.#.#######.#...##..####.##.#.#.####.##.#..##.#.#..#######.##.#.##.##..##..#.#....#####.#.#........##..#..##......#.#.###.#......##.###.##.#.####.###.#######.#.#.#..#########.#.#.###.#.###.########..#.#....#.#..#####.#....###.#####.###.#.##.####.##.###...........##.#.##############.#....#.###.##.######.#..####.##.#..##.#.#######....##.#.######...##.#..###.....##.#.###..##.##.#####.#..##.#..##....##.########...##.##.##.##...#.###.#####..############....#..##########.#.##....##.###.##.#...#...#.#.#....#.#.......####....##.#.#.#.##.####.#######.###########.##..#.#####.##..##.####.##.#..########.###.#.##.##...########....##..#
######.##.##.##.#.##.##.#...#.####.#..#..##...#.#######.#.######.....######.###.####...##.###...#.######.#.#.#.#.#.#.....#####.####.##.####.#.#..##..###.....###.###...####.##.....##...........#.......#.##...##..##........#.#...####...#.###.#.#.#....#.#.#.#.####..##############......##.##########..##.##.####.......##.#.......#.#.....#..##.##..........####.#..#.#######.##...#...#.......#######.##########.#.#...#.##.#..#######..#.##.#.#.#.....#.#.#########..#.#.........#.#....#.#.######.......#####.######...###.#.##.#.###.##.##.##########.#####.....##..#.#..#.....#..###.###.#.##....#####...##....#####.#........#.#.#.#..##..###.##.#.#########.###.#.##..###.#..###.#....##.###.#..#.#...##........#.#######..##.##########.###.#..#.##.#...######.#.#...##....###.##........#.##.##..........#.###.#.##.##..########.#.###.####.###.#.###....##.#.##.#.###..#.#......##....#..#.####....######......#.##..#.....###.####.......##.####..#.#.......###.###..##
#...............#.####..###.#.#....#########.####.#.....#.##.....#.#.#.##............#.##.#.########.##....#.#...#...##.##......#...#..##.######.##.##...##.##...#.#############.#....##.#.##.#.#.##.##......#.#########.###.###.#..###.###...#.##########.###.#....##.##....##.......#.##.##............##..##..##..#.##.###########.#.#####.##..##########.##.#....##.#.#.##########...###.#.###..###.##..##........#.###.#.#..#.##.#.##..####..#...###########.#....#####.##.######.#.#.##.###..#.#...##.#.###....##.#.###........#.#.##..##.#..#....#.....#.....#.#..####.##.#####.##.#.###...#..##.#.##..###....##..##.####.#.#.###.#.....####.#...##.#.##............###..##...##.#.#.###.##...#####...#######.##.##.#.#.##....##....#.###....#.#...##.#..##.##......####.########...###.####.##..#######.#.#.#.###...#.##..##.#.#.######.#...####...#######.####..#.##.###...##.##.#.#.########........#.####.#####.#.#..##.####.##......##.#.##.#..##...##.#.#.#####...####..#
###.#.###.#.#.#.###.##################.#.#.####.....#.########.#.#.#......#.#.##.#.#.###..#..###.#.#.#..##.#.###.###.##.#######.###.##.#..##.#.#.#..#..#.##.##.#.#...###...#.....#.##.####.##.################.#.###.#...##..##..#.##...#...###...##.......#...#.####..#####.######.###..##########.#.##..##..##..##.####..#.#...........##.###..##..#....####....#.##..###.#.#.##.#...#.#...#.#...##.#.#..##..######.......####.####....####.###.###.##.###...#..####.#.#####..#..........##.###.##...#..#####.####.#........#.#.##......#.###########.#####...#.###.##..##..##.#...........##.#.#.#########.###.##..##..#.##.#.#.#...####.##....#####..#.###########.##.#####..###...............#..##...#.#.......#..##.....#########.#...#.####.#.###.##.##.##.##.##.#.##...#........#.....##....######.....#####..####.#.#..##..#.......#..#.#.#....###..........#.##.####...#.##..###.###.#......##.#.#.#.......##...#.#.##..#.....###.##.#..#.#####.####.##.#.#...##..###.##.##
########..#.#.#.###.#.###.....######.#.#.#.##.#########........#.#.#.#.##.#.#.#..#####...###.#.#.....##.##...........####..............##.#..#.....##.##..#########.##...#...##.##.####....##.#........................#.###..##.##########..##.######.#.#####.####.####...#.#......##..###...##....#.#..########.#####.####.###.#######.#......####...##..####.#.#..##..##.#...#....#.#.#.#.#####......##.##.####....#.#.#...#####.####.###...............###...##........#######.##.#.##..###...##.#.########........#.####.#.####.#.##.....##....##...########.#....##..#################..#.#.#.#..............######........#.#.#.##...##.#####.##.####...##......#..#.....#######.#######.##.##..###.#.##########.#..###.#.####.#..#.#...............##########.#..#..##.###########.##.####.###....########.#..##....###.##..###.#.##...#######.#...##.####.##.###...##..#.#..####...##....#.##.##.#.#.#.###.#####.####..##.#.######..##.##.#.#.#.#..##...#.#.#.#####......#..#
#.##.#...####.#.#.....#...##.##......#.#.#..............##########.###.#..#####.##.....#.#.......###.....##.#.#.#.####.###############....##.##.##.##.##.##..##.#.#..######.########.####.###.#.#.######.#.##.######.#.#.#...#####...##..##.###.#......#.#......##...#####...#####.####.#...#....##.####.#..##.####.....###..#.########....##.####.###.###......#.#.##..##..###...#.##.#.#######.####.#....#####.####.#########.##..###....####.#.###.####.#.#.#..#.##.##.##.......#..#..##.#####..#.####.#.#.#######.############...#.#..#.#######..###.....#....#.#.##..##....#.#.....##.##...#.#####.##.####.##.#..#.##.####.##.#.#..###.#####.......##...#..######.#.###.##.##......#.......######.#...####.....#.#######...........######.##.#.###.#.###.#.......##.#.#####.#.######..#..#.#..######............####.#.##...##.#...#.#..#.##......##.##..#.....####..#..##.#.##...####.##.##.#.####..#####..##....##..##..#########.#..##..#..#.#.....#####.#.#.#.###.##.#.#.#.##
#......#.##...#######.######.#######...#.######.#########..........#...##....##.###.#.##.##.#.##..##.#.#.####.###.#.....#.##.###.......##.......##.##.######.#....#.##......##.##.#.......##..####################...#.###.###.....#..##......#.##.##.####.##.#..##.##.....#.......##...#.#.####..#....###.##.......#.#.....##..#.......##.#..#....#.###.##.#.#.#.#..######.....###.##.####.#......#######.#.##..#.#####.####.#..##.#.###.##.######.###......###.########.####.#.#.####.###.#.....#####........##.....#......#.#...#.#########.#..##.###.#.#...#.##.###########.#.###.#.......#.#.###....###....##.##......##....#.#.#.######.#.###.#.#..######.##.....###.####.##.#.#.###.##.#.#.#.##.###.##...##.##.#.......######.#.###.....####.#...#.#.....###.#..###.##...........##.##...####......#.##.#.#.#.##...#.##.###..###.####.#.#####.######..###.#.###.####.##..#..##.##.#####.##.#.#....###.###..#.#.##..####.#.##.#......####.##.#.#.#.#..##...#####.....##.#.#.#.##
######.###..#####.#...#..........#####...###.####.##......######.#.##.##..#.##..#...######..#..##.##.#.#..###.#########.#.#......########.##.##.##..#.#......####......#.##.##....######.#######.#......#.#..#.....#.#...#######.#.##....##.###.##.#...#####..####.....###.#.#.#####..#.#.#.#....##.######....#.#.#########..##.##.#.#.##..#.###.#..........#.#.#.##.####.#####.##...###....######.#.##......###....##....#.#.##.#........#....#.#...#######.##....##.#....#.#######.#####..##.##...##..#.####.#..##.######.##.###.####.##.#.#.##.##.#...#######.##.#...#####...#.#.####.###.##.#.#...#.##...#.##..####.#.###.#.####.####.....#.#.########..#....###.#.##...#....#####.#...##.#.#...#...#####.####.##.######.##......#...##.####.#####.######.#.##..#.##...##.#.#.#.#.#....########..####.########.######.#.##.##..###..##...#.#.#.......###...###.....####.###.#.######.......##.#.##.#.##......####..#.##....#.#....###.###...#..#.#.#.#.##..#....##.##.###.###.#..#
#........##.#.....#.#...#.######...#####.#.#.#.#.....#########...#.########.#..####.###.###.#.##..##.#.####.###.###..##.#.##.#.###.........#..#####.########.###..##.#.########.#........#.###.#...#.##.#.##.#######.##.##...########.##.##.######.#.###...#####...##.##...###.#.....##.########..#..###...#.##.#.#..#.#####.......######.#################.#.#.#.####..........###########.....#....#####.#.....#.######.....#....#.##.#.###.##.###...##.....#.#.##..####...##.#.#...##.####..#..##########.....######......#.#...#...................#.##......######.#.##..#..........#....#######.#.#..#.#.#..##....#.##..#..######.#####.#.#.##.#.#.##...##..#########.##.####.#####.#########.###.#.#.#.#....##..#..######.#.#.#.######......#....##....#####.#..##.##################.#.##.######..##.......##.....#..#####.#...####.##.#...#.##.##...#.##..#.#....#.#...####.....##.#.#####.#..#..######...##.##..###.##...##.#...#.######.#####.#..#.###.#######...#...#.##.#
#######.##..#####.#####.#####..###.............###.#.#.........#.###........#.##.#..#....##.#..##########....#....##..#.#..#############.#.#.####....##..###.#...##..#.#........##########.#...########........#.....##..###...##.##..##.##...###..###.##.##.##..#..#####.########.######..#.####.#.##...###.##.#.##.......###.###.#......#.#.#.#.#.........#.#.#.#..###.#.######.##...########.##.#.#.##..##.##.#......#####.###.##.####............#..#####...#....##....###......####.#####.##..##.##.#.##.#.##.#....####.....#.##.#.##.#.##.#.#.#.#######.##..###...#....###.##.###.####.##..#.#..####.######..###.##..#.#####.##.#.#.#.......##.#.#.###.####.#.#.#.#.#.#..###....#.####.#.##.......#.#.######.###...##.##.#.#######...####.##...#.######.##....#.##..#.##..####.#.#...........##....##..#.#.#.#..#.#.##..#.#..#.#...#########.#.#####.#.#.#..##.#.#.##.###.##...###.#..#.##....#.###.#......#.##.##.##...##.###..###...#..##..##.####.####....#..##..####.##..#.#
#.....#..##.#......##.###.....##.##.########.###...#.###.##.##.#.###############.#######....#.#####.#.#.####.##.#..##.#.#.###.##.#.......#.####...#.####.......#.##.#########.#####.##.....###.##.#.#.########.#####.###.#...#.......##...##.##.##.##...........##.###.#####.###.#.#...###........#.##.#.#...######..#.#.#......##.###.#.##.........#######.#.#####.######.#.........#...........###....#.##..####.####.##.#.......#.#.##.#.##.###.#.##.......#.####.####.##.######.#.#..#...#####.#........#####..###.##....##.##.#..###..#.##.###.#.##...########.###.####.#....###....##..###.#.#####.####.#.####....##.###..............###.#.........####........#.....####.##.#...........#######.#.#..##....#.###.##.#.....#.#.####......###.##..#.###.###.#.#.#..##.#..##.#......#.###.###.#####..##.#.#.#.##.###.#..##...#####.##.##......#..###..######..#.###..###...##.#.##..##.#.###.###.##..##.#.#.#.##..#####.##########...#...######..........####...####....#.##.####
#####.##########.#.#...####.#.....###.###....#######.########..###.##.....##.#.....#.#...#.##.##..............####.#.......#.....#####.#.#.#....#.#...####.#.###.#####....#.####.....#####...........................#.########.#.##..###.#..#...#####.##.###.#.#..##....#.#.#.#.####.##.#######.##.##.#.#.###.#.##########.##.##..#...###..##.#.#.###......#####....#.###########.#.#####.#####.#...##....#.##.#####........##.#.####....#.#..#...###..###.#.#.#...................#.##...####.######.#.##.######...###..##.##..######...##..###...######..#####...#...##...###.##...#.####.#......##...............####...##.#.##.#.####.##...#.##.###.##.#########...###......##############.#.#.........######.#.#........#.###........######...#..##......##.###.####..##......#.#.#####..#.........##..##########...##.##.#..###..#...#.##.#.##...#####.##..##...##...###.##.#..##.##.#.#.###....##.#..#.#.#.##.###.#..#.###......#.#.#.##.....##.#.#.#....##.##..##.#####.....#
#..##.##.#.##..###.#.###.########..#..#.####.#.##.##.#....#######...###.#....#.###...##.##..###..#######.#.##..#.....#####...###.......#.#.####.###.###.######...#...####........#.#.......#.#.#.#.#.##.#.#.##.#.##.##..##.###..#..##.######.#.#..##...##...######..##.#..............##.#######.###########......#.#.......#..#######.####.#..#.#.#.###.#.##...####...#..#......#####.....#.....#######.#.###........#.####.##.#..##..##.#.##.###.#...##...#######.#######.#.#.#.#...##.###..#.#.##.#####....#..###.##..#####..###.#...#..##.#...###....#.##.##..#...#.######...##.######...####.#....#.###.#####.#.#....#.#..####.###.....#.#.#.#..#..........#.....###.##.#.#..##.##.............##.##.#..##........##.#.#.#.#####.######......####..##.##.###.#...#####.####.##.######..####.#.#.###.#..##....#.....#.##.##.#.##.#.####....#.#.###.##........###.#..##.##...##.#.######.#...##..#.#####.####.#.##.#.....##.#...#.##.#.#.######.###..#.#.#.##.#####.##......##.#.##
#.##...#.#.###.##.....##...##..###.##...#.#....##.#####.#.......###.....####.###.##.############.#######.#####.####.##.....###...##.##.#.#.#....######....#.####.###.###########.####.###.####.###.#.##.#####..###...##........###.#..#.##...####....#..#.###......##..#.##.#########.##.#.........##.#.#.#######.#...###.#.#.##..#......##.##.#.###.....######.#.####.##.######.##.############.#.##.#######..#.####.#####...#.#.#########.#####..#.#.##.####.#.##.#.......#.###.###......#.##.......#.#####.##........##.....##.....####..####.#####.#.........######.#.#.###.###..#.#...#..##..#.#.##.#...#.....#.####.#.##.#..#.##..#.#.###.####.#####.#.##.#.###.##..#..####....##.#.#.##.######..#####....##.#.#.#..#.###.#.....##..##########...##..#....#####.#........#######.#.##.#....#.#.#...##..####.###.###.##..#.####...#....#.####.#....#.#.##.#.##..##.#######.##.#.##.#...#.#..##.#.#.....#.#..#######.##.#....#.###..#.#.###.....##.##.#.###......#.#..#.##.##.#..#
#..###.#.#.#...#####.#####..##.#.#..###.....##..#...##..##.####.##..#####.....##....##.#.##.#....#.....####....###############.#.##.####.####.#...##.####...#..###..........##...#....#....######..#.#..##.#..##...###..#.#.#.###..##...##.#.##.#.#.###.#.###.###############.#.#.##.......##.##.#.##.....#.#.......#.##..#.#####.##.##.######.####..###.#....#.#.#.......##...#.#..#.#.#.#...........#.#.##..####....#.....#.#.###.#.#.##..#.#.######.######.......###.#.#.#############.##..#######.......#....#.####.####.########...#######..#..##.##.##.#####.#.#......#.#...#.##...#.#.##..##.####.###.###.########.#######....##.#.####..#....##....#.#.....##..##...###.#.##..#.#####..#......##.####.#.#..#.#.####.##..##.######.....#.###..#..####.#################.##.##..........#.####.###.##.###........##.##.######..######.#..##..###.##.###..#..#.##..#.##....##.#.##...#.#.#.##..####.#.##.##.###.....##.##.#.#.##..##.#...####.##..#..#...##.###...##.#..###..#.##
##.......#.#.#.#..#..#.#...##......##.#.#.#####.#.####.#######.....###.#..#.#....##......##.##.#######.##.####....##......##.###.####....##.########..#.###.##...#######.##..###.####.#.#.##....#########....##..#.#...####.###...####.#####.#....#..##.###.#######.#..##.##.........#.#####..##.#.######...####.#.##..####.##.......#####.#...##...##...####.#.#.#######.####.#.##...#...####.#.#.##........###...##.#.#.#.#.#.##......#####.#..##.####.##...#####.##..###.#....##........##..#.#.##.#.###.#########.#...#####.#...#####.###.#####.#..##.##.#.........#.##.....##########.###..##..##...#...#...###.......##.#.###.#######....###.#######.###.#.#..##.##.#.#.....#..#####.#..#########...#.#####.####.##....#####.#...######.#.#...##.##....###..#.##.........##.#..##.#.###.#########..##.#.######.#########....####......#.##..##....#.####.#.##..##.#.#####.##.#.#..#.#.#.#.#..###.#.#.#.......#.#.###..##.#.#.###.##.#.#.##...###.##.#.####...#.#..#.##...##.####
###.##.#...###.##.##.#.###.#..#.##....#####..#..#..#.####......#.###.#.#.#####.#.####.##.##.######.#.#.#...#...##....####.#......#....####..##.###.##.#........###..########.....#....#.####.##...#.#..###.#.##.######..##....###.##.#....####.#.###.#...##...........##.....#.##.##.#.#.....#######......#......#.#..##....#..#.#.#.#.##....#..#.#.##.###............###.#.#.......#.###...#..#.#.#..#.##.#.#...#.##.###.#.###########..###....##...##.....#.#.....#..####.##.#....#####.###.##....#####...............###.#...###............###....##..##########.#.####.#.#.....##.....#...##..#########.##.##.#####.#.#........##.#.##.#.##.#.#.......##..#.##.#######.#####.##...##....##.#.......#....#.##.##....##.#.#...#####.#.#.#......#..#.###.#.#.##...########.#......########..####......##..#............#.#...##..#####.#.##.###..###.####.####..#.##..#........#.####.###.###.##.##....#.##.#.#.####...##.##.#.#.#.###..#######.##...##.#....#.###.#.##.#..###..####
##########.##..........#.#.##########.##.###.##.#.##..#.###########..#.#..######..###.#..##.#.#........###.#############....##.#.##.#.#####.##.#......########.#.#.##..#.....#.#.###.#####...##.#.....##.###.##.#.#....##..##.##..##...#.##.#..#.##..#.####.##.####.#....#.###.#...######.##....##...##.###.###.##.##..####.##########.#####################.##.#.###.........#.#.###.#.###.#.##.####.#.########.#..###...#####..##...##.#...#.####.##..###.#.########.#....#####.#.#.....#.#..###.###..###########.##.##.#.##.####.#.###.#.##...##########.#.#......####...#.#.##.####.######..##.##..##.#...###........########.###.....#####....##.#.#.######.##..##..##.#####.####.########.######.##.##.......#.#.#########..#.#........##.#.#.####.#####..###..###..######.#.##..##....##.#..#.#.#########.#.#.###...#######.......#..#..##.###...##.......####..####.###.##...####....##..#.###.#.#.##.#.#..###.####..#.#.###.....###.#.#..#..#.##.#.####...###..####.#.##...##
##.#.###......####.###......##.#.##....#.#.#.#....#..##.......#.#.##.#.####.#.#####.####.##.#.########.#.#.##.#.##.......##.##.#.##.#.#..##.##.######.......#......###.###########....##...#######.##.........###.####..##.#...##.#..#.#.#..##.#.##.##.##...#..#....##.#.#.#...###.#......###.#.##.#..####..###.##..##.######...##.....#.#.#####..###.#......#..#..#####.###.######...#.##....##.#....###........#.##...#..##.##.#..#....#####......#..##...####.......##.#.#.#.#.#.#####...#.##.#.#...##....###.####..#....#..##.##############.#.###.####...######.##...#.#.#.##.#.#######...##...##..#...################......######.###.#..##.##.#.#.#......##.####..###.....#.....#.......#.###############.######.##.##.##.#.###.##.###..###.#.#...#.#..##.##.#.##.#.#....#.###....#.##....####.#####.###.#.#...######......#.#.#.#.##.#####.##.##..###.#....##.#....##..##.###.##.#.####.#.#...#.###..#.##...#.#....##.######.##.##......##.##.#..#...##.###...###......###..#
#......#########.######.#.#.........##.......##.###.#########...........##.....###..##......#..###.......#.#....#######.##...#.#########..#.#..##.#...#####.#.##.#..##.###...##.#####.########.#.#####.#.#.##.##.......######.#####.##.#.##....#..#.##.####.##.####.####.#.#.###...###.#.##...##########.####...##.##..#......#....#.#.#...#.#.#.##.#...#.##.##.#.##..####...#.#.####......##..######...#######.##..###.#.###.#....###.#....#####.#...##..####.##.####.#..###.#.#####.#...#....#.#.###.#####.......###.####.##.##.#####..#.#.##........#..###...#.....###.###.#..###...#.....###..#.###.#######..............###.##.#.##.##....###############.#.#####.##.##..##.######.###.###......###.##.#......##.##.#..#.....#.#.#######..####.#.###.#.##.##.#.......#...##.#...##.#.#.###.#..##...##.#.#.#.#####..####..######.###.#.##.####......##..##.##.#######.#..##.##.#......#....#.#.#.#.#.##..##.#..#.####.#..###...#####..##.#.#.##..#.##.#.#.####...#...###.##..###.#
######.....###.#..#.....####.##.###.#..#.###.....#..##.##.#...########.#######.#.##.####.##.#.##.#######.#.####.........#..#.#..##.#.#.##...##......###.#...#######.##.#.##.##....#.###..#.....#.#######.#.#..#..#.#.#..##........############.#.####.....########..#....#########.##..#.##.#.#...#...#.......#.##..###########.#.####.###.#.#...##.##########..#####......#.#....#.##.##.##..####....#.##......######..###.#.######.####.#..#######.######.......#....####.....##....##.##.##..........#....#####...####.........#.#.##.#.#.#..######.##.#.###...##.##...#####.######.#####.####.#.#.....##..##.#.#.#####.#.#...#.......#..#.##.###.##..#.##..#.#.##..#.....##..#.#.....########.#.##.#....#.#.#.##...#.##.#####.....##....##.##...#..........##.#######.###.####.#.#..#####...#.##..#.#.........#.###....##.##.....#...#.##..##..#.##.##.##..##..#.###..#.##..######.##.##.#########.####.######.#...##.########...#...##..###..##.#.##.#.#....#.#.#.#.##...##...#.#
#......##.##.#.##...#.#..#.#.#..##..##.#.#...#.#.#.##...#.#######......##............#.#.#..#.##.##.##.....#######.#.#.###.#.####.......#.#..######.###.###..#.##.#.##...##.###.#....###.#####.#...##....####.##.########..##.#######.#.##.....#....##.#########.##.####.##.#......###.##########.###...#.#.###.##.##.#.#.......#####..........#..#.##.#.##....###.####.##.######......#..###.#....##.#..###.#.##......###..#.#.###...##..##............##..##.##.#.#.###...#.#.#####....#######.######...########.#.#..###.###.#.....#........##.............##########.##..#####.#.#.#######.########.#..##.####.#.##########.###.#.##.##.####.#....##......####..##.#####.#####.#####...##.#####......##...###.####............#.#..####....##.#.##.#.#.###..#.#............##..#.##.##.##########.#.#########.#...##.########.#.##.#.#.###.###.#.##.##.#..##..##.#.##.#####....###..####...##.#....##...##.....##.#####.....####...#..#.##...##..#..#.####.#####.#.#####.##..#####
####.####.#....###.#####.#...##############.####....##.##.####..######.##.########.#...####...##.....#####.....#####.###...#...###.#.##.####........#.....##.........###.#...#######...#.##.##.###.#..#.###...####..#.....##..#..##.#......#.#.#.#.##..##.#.##...#####...#....##.#..##.##......#...###.##.#.#....###......########.#..##.#.###.##......#..###.##....#...##.#......#.#.##.##...#######.####...#.#..#.#.##.##.........#..######.#######.#####.#..######.##..#.###.#.#...#.##.......####.#####.#....###.##.......#######.#######.####.##.##.###.###.#.#......##...##....#.#...##...##.#.#####......#..###...##.#.#########.....##...###.##..####.#.###.....######.#......####.#........######..#.#....##..##.##.##.#.#.##...#..#.#####.##.########.....#####.#.##..##.###..#..........##.####..........#######.##.#########.#.#...#...######..#.####....#.#..##..###.##...##....#.#....#.##..#.#####.##......##.##......####.#.##.#.###.##.###........###.##.##.###.....#
##...##...####..####.#.#########.#.##.##....#.#####..#.##.#..##.#..#...####.##..#..###....###.#####.##.#.#.#.#...#....###.##.###.#.#.##.##...#.#.#.######....######.##.#.##.##.#..####.............######.#####.###...#.#..#####......#.##.#.###.#####.#.......#...#.##.###.#.#..##.##..######...#.....####.#.#.#############.###....########...##.###...##.#####.#...#.#..####.########..##########...##..#####.#######.#####.##.#.##.........######.##..####.#.#.##########.....###.#####.######..#..#.#..####..#...#####.#.##.........###..##.##########..........##.#.####.#####.#.###....#....#...#.##.#.#...##...#..#.#.##.#.#.#..#.#..#.#.....##########.#.#####.....##.##.#.#........#.##.#####.###.#.##########...######.#.####...##.#.....####........#.#####...#.##.########.######.###.#.....####.#.##.###..#.#..............#.###.###....##..##.##...#.##...####.....#..######.#####.#.#.###.###......##.#.######..#.##..##..#.#..###...##..##.##.##.##....#.##...#.##.##
#..#.#..#....#.##.......##..........#.####.##...####.#.#..##.##.##.#.#..##..###...####.#####......#.#......#.#.#...#.##.#.#..##..#####...#####.######.#.###.##............#.##.##..#######.#.#.#.#..##.##.##.#......#.#.####.....##.###.##.#...###..##############.#.#####..####.#..#..###.##..####.##..##..######.#.##.###.....##.#.#........#..###.###..#.########.#######.#####.##....##..........#.##.###.####.#.....#.#...##.#..######.##.#......###.##.###.....#.#.#.######.....##.####.#.###.##.#.#.##..##...#.###...#.#..#.####.##.####...#.##.##...####.##.#####.#.....###.....##########.###...########..######.#.#.#........#####.#.#####...##.............#.###..#..#########.##.#######........###..........#.##.....#.#.##.#..#.##.#.##....######.#.##....#.#.####.#....#####....#.....#.###....#.#....##.....#.##.##.#.##########...######..###..#.#..###.##...###.##.##........####.#.#.#.##..#.#.###.#..##.#####.###..##.####...##.##..##..#..##..###.##..#.#.###...#
#.##.#.###.#.#..######.############......######........##.##.#.....####..##.#.######......#..####...##.#.#.###.###.###....##.###.##.#..#..#.#####.#...#.#...#####.#.#.###....#.##.##.###...#.###.##.....#......#.#.##.#...######..###....###.######.#.##.######.#....#.#.##...#####.####......##.....##.##.###.......##.#.###.#....####.###.#.##.###...##...#.##.#.###.####...........##..##.####.##.#.####.....##.###.#.....#.####.######..#..##.#.#.#.#.#......#.#..............#.####.#.#................#.####.##.#.###.####.####......#.#..#.........#.#....##...##..###.#.....#.#..###.##.#..#.##.##.#.##...##.#....#...########.....###.#.....#..####.#.######.######.##.##.#.##########.##...####.#.#...#######.####..##.##.#....##.###..#..#######.....#######.###...##...##..##.########.#.#.#.###.##.##.#####.#.##.#..#..#####.##.#...#...##...##...####.##...####.##...######.#.####.#..#.#....##.###.#...#.##..........##.##.##.#.#.##.###..##.##..######....##.#...##.##
#.##.###.###.#.##.#..#..#.#..#...#..####.##.########.#..#.##.#####.#####.#.....#.##..####...##....#....#######.#...##..#.#####.#......###....##.#.###.....#.#.#####.###...##.......#.#.###.#.##..#..#.#...##.#.#.#.#..#.###.#....###..#.##....##..................##.....##.###.....###..##.######.#.#..##.#...#####....#.#...##.#.##...##..#.####.##.##..#...#.....#...#...##.##.#.###..##..#....##.###....#.#..#.#####.#.###.#....#......###.##.#.#.#.....#.##.####.#.#.#######.#.##.......####.####.####.#..#.#.#.....##....###....####.#.###########.#######..##.##..##.######.#####........##.#.##.##.#..######.####.###.#.#......#####...#.#.#.##......#.#.......#.........................###.#....#####.##.......####..######.##.##..##.##.##.....####.##....#...##.##########.##..####....#.#.#.....####..##.##.#.#..#########.#......#.#.#..##.#####...##.##.#..##..##.#####....#.#......######.##....####.######.#.#.##.##..####....#.#...##.###.#..##......#.#####.####..#
#..###..........#.##.#.##.##.###.####.#.......###..#.##...##.#..##.#.#.....###.#....##....#######.##.###.......##.######.##.##...##.#...####..#.#.....#.#.###...###.#...#.#..#.#.#.........########.#.#.#.####.###.##.#####.####...##.#.####.##..###.#.#.#####.#.##..#.#.....##.#####.####....##...#.##.#..#.#.########.....######.##.#.##.##.#.#........####...###...#...#.#..##.#.#...##..####.##....##.#.#.##......#..###...###########.##..##.#####.##.####..#..#######.......#####.#################.#.##.#.#.#####..##############.....#.#.##.#.....##.....##..#####.........#.....######.##...##.##.##....##.............####.#..##.#.#########..#.#.##########.#.#.###########.#.##.##.#.#...##.###......##.#.#.##..#.###.##..#..#..##..##.##.###.#.....####...###...##.#.#.#...##......##.#.#.#######.#..##.....###.#####......###.#.##.#.####...##...###...####.###.####...###.#####.##.##..###..###.##......#.##.###.##..##....###.##.#.#..#...#.##..##.#.#.###.##.....##.#
###############.........#.#..##..#.##.######.##.##.######.##.##.#....#######...#.#.##..##.#.......##.#...##.#.##....###..##..############..##.#.##.##.########.##.#####.####.#.#.##.#.#.##...#.##.###.#####......########.#.#....#.##.#.#.....######.###.#.....#.#..#####.##..######...###.#.##..#.###..####.###........#.#.##.##..##.#..######...#.####.#.######...###.#.#.##..###.#.#.#####.##..######..#.#####.#.#...##...#.#####.#......##..####.##########.###....#....#.##.###.####.......###.....#........#####.##..#..##.##..#.##.##..........#.#####.#.######.#...##.#.#.####.#.##.....####..........##....###########......##....####.#.#.##########...####..######..###.##########..#...#.##.##..#.##..###.#..##...#....##.#####.##.#########....#.###....#...##.##....#.###....#.#.##..#.#.#.........##..#.#.##..#.....##.#.....#..#.#....##.###.#..##.#.##...#.....##.#........#####....##...##...#..##.#...##.###.##.##..#.##...##.#.#.####.#.###..#####......##.#######
#..#.#..........#.#.###.....####.#.##..#........#....##.#.##.#....##......####...#.##.##..##.####.##.##.#########.#.#.######....#.##.##.##.......#..###............#.#....########..#.#..##.##........##....##.###............#.##..###.#.#.#.#.#....#########.#.##.#.#...##.##....###.....#####.#...####....#...##.#.#.###.#.....######.##.....#.#.######.#.######################.#.#.#.#......######..######...#.#.#..##.##.#.....##.#.#..####........##.#.###.##.#.##.#.#.#..#.....#####.##.....###...###.##..##.#..##...##...##......##.###.####.#####.#####.##...###.#..###.#....#..##.##......##.#.###.#..#.##...........##.#..#.#####.#.#.....##.#.#.###....##.##.#.##................####.#.#...##.#..##.#...#.###.#.##.#....#......####.#.##.###.########.##.#.#...####.......##.#####..##.########.#.###.##.#..#.###.#####.##.#.##.##.#.#.##..##..##..#.#..###.##.##.##.##.##.##.#.....####..#.###.###.##.##.###.#...##.##.##.#..###..#.#...##.#.#...##.....####.#.....#.##
##...#######.##.#.#.#...#.#..###.#.###.##.#.#.#.###.##.......##.#.#..##.#..##..###.##.##.##..#....#######.#..#.####.#......####.#.#........#####.###############.#.....##.#.#.#.###.#.#.###..###.#.#.######.##.####.##.###.#.##..##.###.#.#.#.#.#.##.#.........######.###.##..####.####.#.###....#.###.#####.#.####.#.#####.##.#.##.#..##############...##......#........##.........#.###.#########...####.##.###.###.##..######.#.#....#.#.###...###.##.......#...###....#.######.##.##.##..##.##.#####.##...###....#.##..###..#....#.##..###...#....##....##.##.####.##..#.###..##.#.#.######.###.##..#.##..#.##.#####.##.##.#####.######.....###.#........#.####....#....#######.#.#.#.##.##....#.#.##################.#.#.#####.#.##.#.#.#..........####.##.....##.####.####..##.#.###...####..###........#...#.#..#.##...###.#...#..#.##.####.#####.##.###.####.##...##.#..####...########.#.##...##.#...#.####..#.#...##.##...######.##...####.#.#######.#######....####.####..#
#..#.........#..#.##########..#......#.#..###.#.##.....#.#.#....#.########.###.##...###..##.####.##.......##.#.#.#########...##.#.###.#######....###..#.#.##.....####.##..#.........#.###...##...#.#..##....##.#....######.#..##..###...###.###...##.############.###.....#..##.........#...###.####.........#.#....#.#...###..####.##.##..##.........#....#.##...##.#.#....##.####.###.........#.#.#..##..#....#.###.###.#......####.#.#.#.##..#.#...#..#####.###.####.#.####.....#........######.#......#.#.#.####......##...##.#.##.#..##...#.####..##.#...............##.##..###.#.###.##.#########.#.##.#######.....#######.##....##.#####..###########.#.#.#..##.####.#.......#.###########.##.#..##..................###.#.#.#.##.#.#.########.#.........###.##.#######.#####.#.#...###.#..##...##.##.##.#.###.##.#######....###.#####..##....##..##.#...##...#..#..#.#.##.#..#..##.#....#.#..###..###...##...######.#...###.#.......##.###...#......#####.#.##.####.....#...##
############.##.####.###.#.##.######.#.########.#..#.#.#.####.#####....#.......##.#.#########.#...#######........#.#.#######..........#.###.####.#.##.#.#.#..##.###....##.#.##.#.#.##.##..#.#..#.#.##.#####.##.#.##.#......#.####...###.###.##..#.#..##.........#.....#.#.######.####.#.#.#.#...##...#.##.#.##.##.#.#####.#######.#.#...##..#######.#.#.#.##.#..##########.#######...#####.##.#.....##..##.####...#.....####.###.##.#########..##.##.###.##..........#..###..##.#.###.#.#.####.#.######.#.#####.######.##....###..#.#..#.###.########.##..##.#.##.#.#####.##..##.#...###...#...#........#.####.#.#######..##.#......#.##...#..##...#.####........####.........##.#.##.#..##.#.....#..##..##.#.#.###.#.##.##..##.....#.##.#.#.#....#...##.##.#.#.######...#.#...#.....#.###.##....####.##..#...#.#####..###.##.#..#####..#.....######..##..#####..##.##.##.##.#.##...###.##.##.#.#.##.####.##..#.#..#.#.#.#..#.#.#...#.#.#.####.#.##.##.#.####.#...........###.#.#.####
#.#.##....##..###.............#........#.#........##.######.#....#####...#.#.#.##.#.#...........#.##....######.###.#......#############.#.#.................######..##..#####..#.#.##########.#########......###.#..####.###.#.#..#.#.#.#....##.############.##...###.#.#.##.....#....#.#.#.#.#..#####.#..#.##.########......#......###.###.#.#.....#.#.#..####....##......##.#....#...##..#..#.#.#####....#....#####.###..#.#...#.......#.#..##..#....######.#.#.##...#####.######...#.#.#.............####.##.#.......###.##...#########...#..##....##.###.######.##.....##.############.###...##.##.##.#..............##....#.#.##..###...#####.#......####.#......#.#.##.##..#.#..##....####.##.##..#######.#...#.#...####..#.#.#.#..########.#########.#####.###..#.#...#...#.#.####..#..##..##...####.#.#.#.....##........##.....###.##...####.##..##.....##..#..##.##.#.#..#.#.###.....#.#..#.#....###.######.....#.##.#.##.##.######......#.#..#.##.....#.##.#.##..####......#
#......##....######.##.##.#.#...##.###.#.########.##...##.....####.###.###.#.#########.#####.#.##..####.....#...##.######.#.#.....###.......#.#.#.#######.###.#....##..##.....##.#.#.##.##.##.#.#...#####.##..########...#.....##.###...###.###.##.##..########.#.#...###..##.#.#####.#.###.#.#.##.##..#########.#....######...####.##...##.#...#.##############.#..####.#.#....#.##.############.###.##.#...##.#..#....##...##.########.....##..###.###...#..#.######.##......#.####.#.#.#.#.###.####.##.........#.##.##...##.#.##........#.##....##.##.##..##.....###.#.##..#...#........#...#..#.#..############.#########.##.#######.###.#.###...###########.######.###..###.####..##.#......#...##.##...#..#######.####...##.#.####.##.#.#.............##....#.##.###########.####.##.##..##..##.####..#.###.##.####.##.##..###.#.##..##.###....##.######.#######.##..#.######.....##.##.####.#.##.#..#####.#...##.##.##.#.##.##.#....##.#####.##.#.####.#.#.#..#..##..####.##.##
#.#.##.#..#.##......##.#..####.#######...#.#......##.#####.##.##.#.#...##..#..##.#.#.###############.####.#...#.....####....#####...#####.#########.......#.....#.##..#######.##.###..............#.#......####.##.#.#.#.#.#.#..####..#.#...#...#...##......#...###.#...##.##.#.#.....###...######..##.###.#.###.####.#.########.##.####..#.###.#.##.......#.#...#.##....#####.#####..##.#####.####.#.##.#.#######...##.###.######.###.##.##..##...####..#.##.#.#.......####.#........#.#.###.#....##..##.##.#.#.#####.####.##.#########.#########.##.############.##...#..##.###.########...#.#.##.##..##..........#.........######.....##..#.#...####.##.......#......#...##......##.#####.#.#.##.##..##.#...##........##..#..#.####.####.#.###.#.#.#.#.#.#..##......##..........##......##.##..###.#....##..####..##.###########..#.#..##....##.#.#...##.##.#..##.#..##.#.##.....##.##..#....##.#.##.#.##.......#.##.##.#..#.##.#######....###.######.#....#.######.####....#.##..#
#.#..####.######.##.#####.##...##....###.#.###.##.#...##.#######.....#..##.#.##..#.#.##.....#.#.##........##.####.#....####.#.###.#.........##.#.#..#.#.#.#.#.#.#.###.#.......##.#...####.#.#.#.#.####.#####...........#.#.#.##.#....######.#.#.#.#..######.######..#.#.#..######.#########.#....##.####.#...................##........##.#.#...######.###.....#.#..####.##.#..##....##....#.....##.#....#.#..##.###.##.#...##.............##.##.####...##....#####.#####....###.#.##.######..###.####..##########.#...#....##...##......#..##......#..###.#.......#..##########...##.#.#..#.#.#..#####.##.#.##.#.####.#####.##.##.##.##..##.#.#######.....##.##.#.#.#.####..###.#.#####.....###.#...##..#.##.######.#.#.##.#######....#......###.#########.##.##.#.#.####.##.#.##..##.###.##..##...####.#.##.##....##.....###.##...####.####.###..###.#.##.#..#.##..#####.########.##..##.#.#.#####.#..#.##.##.#.##.#####.##.####....#####.#........######.#.#.#.........##.######.##
#.#.###....#.########.#.############...........##.###.##.........#.###.###.#####......###.#.....#..#.##.####.##...#.##............#####.#####......######.#.#.#.#.#...#.#.#.#.##.#.#.#....#.#.#.#.##.#.##....#.#.###.#.#####.#..##.#...##...#.######.##.......##...##.######.#....##....##..#.##....#.#..#.##########.##.###....##.#.#........#.##.....##..#.#.###.##.####....#####.######.#####....##.#.####.........#####.#..########.#.##..##.##.#######.#..#.##.#...###.##...#######.#.##.###.#..#####.#.........#.####.#..#######.####....##.#.#.##.....###.#.#.###.#.#.#.###.#......##.#.#.###.#..##.#########...#.....##....######.##.........###.#.#..#..#.#.###....##...#.##....#.#.###.#.#..##.#..####.....#.#..###.##..####.####.#.....#....##...##.####.#.#########.#..##..#...###.##.####...####.####.##..#.#........#.#....##.#...##.##..#.#..##......###.....#.#.....##.###.###..##...##.#.##..###.#......####..##..#.##.....##.#.###...##...#.#.#.#.#.##.##....##.####
#.###.###.##.......#..............###.##.#.##.##..##...####.#########..##....#.##.#.#..#..#.#.#...####..#..#####.###################....##.#..######.#....#.#.###.#.#.#.#####.#..###.#.##.#.###.#.#..###..#.##.#.#...#..##...#.##..#####..#.#.#..##.....#.#.#....#.##..##......#.#####.###.#####.##.#.#.####.##.......##.##..####..###.###.#.#####.#.#.###.#.#.#...#....#..#.##.##..##.......####.#....#.#....##.##.#..#.##.#.#######...#.##.#####...#..#.###.##....#.#..#..#..#..##.##.......#.####.##.#....#.##.#.##.#....####....#####...##.##.#.#.######.#######.##..............#.#.##..#.#.#.....##..###.#.....#.##.#.######..##.....###.##.##.#####.#.#####.######.#.##.#.#######.#####...#.##.##.####....#.##########....###........###.#.#.##....#.##.#....#..##.#.....##.#######...###..##.###.##.....##########.#.###.####.##....##.#######.#.##....#######..#.###.###.#..###.....##..#.####.#.##.##...###.####....###.######.##.#..#...#######.##.#.###.#..#####.#.......#
#.#...#....#######.##.#.#.#.###.#...###..####.#####..#.#.####.........##..##...##.####...########.##...###.##.#..#.#............##.##.#.#....##........##.#.#.##..#.#.#..##...##..##.#.#..#..##.####.....##..#######.##.####.###..####...##.####..###.#.#.######.###..########.#..#.#....###.#...#.......##...#####.##########....###..#...#.#.....#####...#.###.#.##.#...####...##..#######....####.#.####.#######.#.##....#.#.......###.##.##....#...##.#####..#######...########.....#.#.#.#..#.#......####..#.#.####.##.##...##.#.#.###.##.##.#.#.#........##....##.############.#.#.###.#.#.##.##.##.##...#.##.##.#..#.#......#######......###........###.....##.....#..######.##.....#####.###..##.###..#.#####.#.#.#.####.##..#.####.#...########.##.##.##.#.#.###.####.##...###.##.########......##.#####.#.#.#....#..##.#.....##.#.##.##......#######.......####.#...#...##...##.#.##..#####.#.#..######.##.....###.##....##.#######.###.##########..###...##....##.###.###.#
#####...#.###...#..##########...#.#.....##........####.#...#..#.#.###.###..##.##..#....#.#.#.#....##.###........##...#.##.#.###.......#.##.#..####.#.#.#..#########.#.#.#####.##.##..###.##.#########.##.###.##.......###.....##.##....#.##.##.##.....######.....######........#.##.##.#..#....###.#.#.####.#.......##.##......#.##...####.#.#.#.#.##....#.###...#..####.###...#....##.......#.##..######.###.......#..###########.##.#...##.#########.......#######..####.##...#####.###.#.#.##.....##.#####..####.#....####..#.#..........##.#..#######.#.#.####.#.##.#..##.#......#.#.#.#.#.#######.#..##.#....####.###########..#.##.##.#.####..##.##.##...#.#.#..###.##...##...########.......##..###...####.#.#...............##.#....###...##......#..######.#.#.#.......##.##.......##......####.##.#...........####.########.##..#.##..##.#.#.##......#.#.#..##..#.#...#.#..#..###.##.##.#.#.#.#####.###..#.#.#.#...##.####....#.......#......##.###..##.#..##.####...#...#.#
##.#..#.###.###.##.#.##....####.#####.#######.#####....#.#...######....###.#..#..#####.###.....##.##.#...##.##.##..#.#########..#.########.#.##....#.#.##.###.......#####.#####...##..##.#....###.#.###..#....###.##.##...#.#..###..####.####.....#.#.##.##..#.#.#..####.#.##.#####..####...#.########.##.####.##.#.#...######.#.##.###.######.#.#.#..#.##.##..#.#.###.###.###########.#####.#..##.###..#.##..#.#.#.#.##.#.#.#.....#..###.##.#.#....###.####...##....##.#...###...#...###.########.#.#..#.....##.#########.#######.##.#####.##.#.###......#.#.##...#..####......####.#.#.#...#.#...##..#.###########.#####.#.#..###.........#.#....##...########.####.#...##.####.#..##...##.##.####..##...#.#........####.#.###.#.#######.##...#####.##.#######....#.#...#.#.####.##.#.#.#.##.##.#.#....##.##.#.####.#.#.....##......#..##.#..##..#.#.##.###.#######.###.####.##.#.#######.##.#..........##......#########.##..#....##...##.#.##.#.#.##......###.##.##....##.##.#####
#....####...##...#.#.#####.#.#..##.##..##.#.......###.#####.####....##.#...#.###.#.....######.##..##.#.#..#.#..#..######...##..#######.#.#########.#.###..#.##.##.#.#####.#.#...#..##.#..######.#.#.....#####.##..#...###.#.##.###########.######.#.#.#.....####.##.#....######.#.##.##.##.#####.#......#.##.#.########...##...#.##.#..........#.####.#.#..###.#.#.#....##.#.#.......####....##......##......##.#.#.#.#..#.#.####.#######.####.####.....#....#..####..#.###.#####...#.#...##....##.####.#.##.###.............##.#...###.....##.#.#...#.#.##.#####.##.########.#.###..#.#.##.##.#.#....####.###....#..###.....##.....#.##.##.######.##.####.#.#####....##.##.....####..###....#.....##..#########.#.#####...#.#...#.##.#....####.##.....#..###....#.##.##.##.#.#....##.###.#.##.##.#####.##..##.#.#....#.#.##.##..##.###.##..#.####.###..###........##.#...#.....###..##.....#######.#.##.##..####.#.##......#..###.######.##.#..#.###.###.#.#...#.####..#.###..#...###
###.##....#..###......##.#.#...###....##....##.##.######.....##..#.##..#####.#.######.##.......#####.#.##.####.##.#.#....#....##.#..........##...########...##..#####.#.......#.#.######.#......#.#####.##....#..##.#..##.###..#.#.#..............#.#.#.#.#.#..###....####...##.#.#.....####.#.#.######.#....###.#.#####.##..#.#.#####.#.####.####....#.##.#...########....#.###.#.#..#.#######.#.##..###.##.####.######.....##...#.......#.........##.##.#.###.##.##.#.#.###.#...#.###########....##.###.##...#.##########.##....###...###..######.##.#.#..###.#######.##....#.#...##.#.##.########.##.##.#.####.#.##...###.#..#####.##..###......####.........#####.##..##.#.######...####.##.#.###.##....#....###.#...#.#.##.##.#..######.....#####.####.####.###..###########.###.##..#######.#.....###.##.#####.##.#.#..##.#####....##.#..##..##..######.#.#.#######.##.#.##...#####.#..##.....######..####.....##.#.####...###...##..#.#.##..##..#######.####.#..##.#.#.##.###.#
#...########...###.##........###.##.#.##.#.##...#.#..#.###.#####.#..##..##...#........#####.#.##...#########.###..#...#####.###....#.##.###..###....##.#..#.##.###....#.##.##.#.####.....######.....######.##.##.##.##.#....####.....#########.#.############.####.#.#######.#......###.#.##.#....##.#..##.####..#..#.#.....######.....###....#.#################.##.#####.#.#.######.#.#.#...#######.######....####.##..###....#####.#.#.##.####.#.#..#######............##....###.#..####.#.###.##......#..######..#.........#.##...#...######.....########.......##.....########..#.####..####.#####.......#.#.#..#####.#.#####.....#.#########..######.##.#..##.####.##..#.##.####.##....####.#....##.#...#####....###.###...#.##..########.#####..##......###...##.##........##...##....##.#####.#.#...##.##....##.#.##.##.##.###.###..##..#.####.#......###..##.....####..###.##....#.####.##....######....##.###.#...##.####..#....##.#####..##...##.....##....##....#.##.....#
###..##.##.###.....#..##.#.###......######..##.#####.......##....#.####..##.#####.#.#.#..######..#.##.##.#.#.####.###..##.#.##..#########...##...##......####..##..##...#####.#....##.####.#######.##..#.#..######...###.########.#.###.###..#####.#...........#...#.#...#.#.#####.##........####.##.##.##.#..##.##.....###...##...#.######.#.#...#..#.#.#............#..#...#.##.#.#.#...###.##.#.#.........######.....##...##.###...#.#..####...#.#.##.#.#.###.##.#.#.#....##...#.##........###..##.#.####...##.##...####.#.#####.########.#.##########.#...#####.#..#####.#......####....##.#...##.#######.....#.##.#.....###.###.#.###.........##.##.#..####.#.......###.#.#...##.....##.#.##.#.#.######.##.....##.#....##.#.#####......##..##....##..##.#.....#.#.....##.#.#..#.#####.###..###...#.#.#.#######.#######..##.##.......##.#..####.#..##.#.#...#.##..##.##.##.##....##.#.#.##....##.###......##.##...####.##..###..#####.##.....#.####.##..#.###..##.##.#.#####.#.#.#
#...##......####.#.##..###..###########.#..##...#####.####..####.#..##..######.#..###.##........##..#.#........####...##.....##.###########.####..##.#.#....##..##.#..###.#...##.########..........###.#.######.##.#..######...#######......##..#..#.##.#.#.##...#.#####...........####.####..###..........#.##.....#.#####.############....#####.##.#.#.####.#######.##...#............#..#.........#.###.#..##....#.#####.##..#...#.#.#.##....#.#####...........########.#####.##.#########.....##..#####..###...#.###.##.###.#.####...........###.#.#..#####.##....##..#....###.###...#.##..###......#...#####....#.#####.........#.######.#.#.##.......##......##.#.##...#####.#..###.#..#....###.#.##.##########..##.#.##.####.#..#.##....####.#..##.#..##.##.#.###.#.#..###.##..##.....##.#.###.#.#####.#.......##....########.#.#.##.##..##....#######.#######.##.#......###.############.###.#...###.##..##.#.##.#.##.##.#######..##.##.##..#.#..##.#...##..###..#.....#.#.#.#
##.########.#.#..###..#######.............##..###.#.###....##....#.##..##......#####..#######.#####.....##.#.#...###.###.#.####.#..#.##..........#######.##.##.######.##....#..#.#.#.#..##########.........##......#.##....###.#.#.#...#.##..##.##.########.#..###...##..#.#.#####.#..#######.....##.#.#.#......#.###.##....##..###.#....#.###............#.###..........###########.#.###...#.#.#####.##..#.##..#.#####.##.#..###.####.#.##.##.####.####.###.#.###......#.##..####.#.....##..###.#..####...##.###.###......##.........##.##.###.......##..###..###.#.###...#.##...#.#########.#.######.###.#.######.#.#.#...###.#.###.#......###.#..#####.######.##..#.####..##.....##...#######.#####.#..###.....#..#####.#..##...######..#.##....#.########..##.#.#...#.######..#.#####.#.##.......####.##.####.#.##..##..#.##.#..#.#.##.###..###.##.##.....#.#..#..#####.##.##...#.#.#.#.#####.#.##.####.##.##..#.#..#.##.#....#.#.##.####...##...##.#..##.####..##.##.#.###.#.#.#
####.###....#.##########.##.######.#.#.#.####.#......#..##..####.#..##.###.###.#...####.......##....#.#.#..#####...###.#####.#..##.#.#######.#.#.##......##########.#####.#.##.#.#...##..##...###..######.##..####.#.#####.##........#######....#..##.##....#.####.#####.#.###.######.###...##.##.#..#.######.#.#.##..###.#####.......##.###...##########....####.#.#.##.##.###.#....#.##..#.########..#..#####.##..##......####.#.##...####.#..#....#.##.#...#.########.#####..#.#######....###..##.#....#.#..#.#...###.##..###.##.#.##..#####..###.#..#.##.##.#.#####.##.##..#.#.#..#..........##.###.##.................###...#..#######.###...##.#......##.....####.#.##.##..#####..#.#...#...#.#...##.#.#####...##.....##.##.#........##.#..##.#.##.##.#..#########.###......#####....#.#..#.#.#.#.....#.#....#####..##.#......##.#..###.##.##..##.#..###.....#####.....##.###.##.....#.#.##.....#.#....######.#.##...##.#.##...#.#.....#####..###..#.##..##...##...#.#...###.###
#....#...##....##..#.##.......#..###.###.#..#####.##...####.##...#.##...####.....#.#.#####.#.######.#.#######.####.##....##....##.....#.##...#.#..###.##....##..##...#.#..###..###.#..#.#####.....##......#####....#.#...#.##.#.###.##.......##...###.#########......#.######....##.......#..#.#..##.#.###....#.#.#..##...##.######.######...###...#...#####..#.###.#.##.#........#.##..##.#.#####....#####.#.#.#..##..####.##.....#..###....#.###.#......###.#.#..##.#.....###...##.##...##.##..##..##.#.####.#.#.###....####...##.#.###.#.#.#########...#.......#..##.#..##.####.##.###.##.#.#...........##.###.##.##########.#####.#.....#...#.##############.###.##.#.....#####.#########...###.###.#.....##.#.#..##.#.##..##.#######.########..#.##......##......##...###.##.##..####.####.###########.....##.....##.#####.###..#.##.#.......#####.####...###.....##.#.##..#...##.###........#.#.######..##....#####.#####.##.#.....#.#.....##..##.##.#..##..#.#..#.###.#.##....#
##.#...#.#..##..##......#####.#.####.##....##.....####...##..###.#.######....###.#....##.#.#..#.##..#.#.............##.###..##.######....##.#####.##..#..#.####.####.....############...#.#.#####..###.##.......#.####.#......#...#####.##.#.#..#.#.#.#.##.#.#####.###...##.####.####.#.#.##...##.#..###.###.###########.##.........#...#######..#...#....###.......########.##.#.#..##.######.#...#####....#.####.#####.....#.##.#######.#.#####..#.#.#.##...####......###...###.#..#..###...######.##.#.#......#..#..##..##..#.######.###...#.##.##.###.#######.##......#####.#####.##..#..#.##.####.###.##.#....#.#...........##.....#######.###.#........#.####..#######.####.....##.#.###.##.........###......#.##..#.###.##.##.......#.#...##.#.#..####..##.###....#.#...##..##......##.####.#.##.###.##.####.##.##.#.....##..##.#..###.#.###.#.#......#.#####.###..#..##.#.#.#..#...#.#.#.##.####..#..###.##.##....#.##..##.##.#.##.##.##..##.##.##.##.###.####.#..########.###
######.####.###..#.##.#..##..........###.######.#..####.##..####.#...##.####.#######.##....#.##....##.##.##.##.##.#.....#..#####....####.##.....########.#.#.#.......#.####.##....#.###.#.........##....##.#.##.###....##.#.#.#.####.############.#.#.#.#.....#.#....##.##..#.....##..#.#..##.###.#####...##.#...#.##....#..#.###.###.#...#.#...##.####.#..####.###.#...#.#...###.#.#####.#.#....#####.####....#.###...###.#####..##....#####...#############.##.##.##.##...#...#.##...####.###......########.##.##...##..##..####.#.##.....#......#.......##...#....###.##.###..##.#.######.#.#..###..#...####.#.#####.####.##.##..##.##........##...#.####.#.##.##...#..####..#####...........#.#.#.#.####..##.#.#..##.###...######.##.###.##.##..#.#.###...#####...#.##.##.####..#########.##............##....#.##.##.####.####..####.###.#.#.#.#.######.#....##..##.###..#.###.#.####.###.###..#..##...##...##.#####.#....##..#..#..#.#...#.##..##.##.#....#.#....#.##.#.##.....#
#.#....##.###.##...##.#.####.#.#.#.#.#......##..####.#...##.#....##.##...#...#..........##.######.#####..#..###########.####.######.##......#.####.......###.##.##.###.......##.#.#.....##.#.#.######.######.##...##.#..#.#.#.#.#....#.#.##.#.##......#.###.#.....#.##...##...###....###########..##....#....###...#..#.###.#############.....#.#..#..####......#...###.#...#...######.#....#.##.#.......#####...####.##.####.######.##.##....#.#...#.#.##.####.....##.#..#####...#..####.#######.#.##.#.##...#.....#.#####..##.......#####.##.###.#######....#...#.##...##.#.#.##.....###...######.##.##.##....###.#...#....#...##.#..##.#.#.#.##..###.#............#...##.###.#.####.##.##.#.##.#####.#....##..#.###########...##.#.#..#....#..########.##.###.#..#.#..####.#.#..##.#..........##.##.##.#.##.######..####....#.#..####..#...###............#.##.###..#..###.#.#...#.##...#.....#####.#..#..###..###.#...#.#.####.#.##.##.##.######.##.##.#.#.####.##.#.#.....###.#.#
#.######......###.###.#..#.#####.#.#.#.#.###########...####.#.#.##...#.#...#########.##.#..##.......#######.#.#.###..........#.........#.#.##..##..####.##.......###...##.#######.#####....###..##......#.##.##.#..###.#############.#.#.#.......#.##.#..###############....#.##..##..##.......######.######...###...##...####...#..##.#..#.###.#.###..#.###.#.###.###....####.##..#...####....#####.###.#.##..#.#.#..##.##....##..###...#.##.#...#.....##..#######.#..#.###....#...###.......#######.......#.##.##.#.#.###.####.#.##.##.########......####.####.##.###.###.....####.###.##.###.###.#...#######.##..###.###.###.###.#.###############...#.#.#.##.#.#.#.#..#.#..........#..#..#.####.....##.#####.#...##......#.###..#########.##.#.#.#.#.........##.#.#.##....#...##....##.###.###...###..####..##.###...###.#.#...##....###.########.####.#.#..#..##.##.##...#.#.#.#..##.###.####.#.....###.###.##.....#.#.#....######..###.....#.###...###.#....######...#####...#.#
#.##..#######.#.#.##..#.##.......###.###....##.......#.#....###.#..#.####.##.........#####.##.##.####.......#.......##.#.#.#...###.#.#.#.#..##.##.##.....##.#.#.##...#.#####.#.#...#..##.#.#...##..##.#.#....##.########.......#.........#######.#.#..#.##.#.#...##......##.#####.##.#########...#.#####.#.######..########....#...##....####...###.##.......#..####.####.##....##.###......#####.######.#.#####.#.##.#...####..##..###.#########.#####..#.##....####.####.####.##.##.#######...#######.##.##.#..#..###.....#....###......###.#.##.#.#......#....#...####.#####.#.##.###.#####......#.#####......##...###...#...#...###..#.###.#.#....#.#######..########.....##.#.#.#.#.###.#..##..#.########...#.#..####.#...#.##......................#.#.##.##..#.#..####.##.##..#.##..##..##..#.####..##..###.....#..##.#.#.#..##.#..#####.#.....#....###.###..#..######.#.#.#.###########....####.###..#....##.##.###.##.####.#.##...###.###..##.#...#.##.#.##.....#.....###.#.#
#.###...##.#.......##.#.##.#.#.#.#....##.#.#######.######.###...##.####.##############.....##.#####################..#.###.##.##...#.#.#.#######...#.###.######.#..###.#.....#.###...###.#.##.##..##..#.###.#####.....########...#######.#.##....####..........#..######..###.....#..##.#.#.##.###.#.##...........##......########.###.###.#######..###.####.#.##.#.......#..#.##......##.####......#........##....#..###.#.###.##.##.#..##.###.###.####.#.#####...##..##.......#..##.......###...#.#####...####.##.##..##.##.#####..####.#.#.#.####.#.####.##.#.##.##............##.#.#.#.#.###.##.###.....#.#.##..#..#..####.####..###....#....####.#.##......####......#.##########.#.#...#.##..##.#...##.###.#.##.#..#.#####....#.#.###.#.###.##.###.#.#.#..###.###.###....#####.#.###.###..##.###....###.##...#.#.##..########.#######.##....##.###.#...#..##.#######.#..#.#.###..#.#.#.#####........#.####.##..#..##..#...##.......#####...#.###.##.#####.#.###.#.###.##...#.#.#
#..###.##....##.#.##..#..###.###.###.##..#.#.#.....#..#.#..##.#.#..##..............######.##...##................###.#.##..#..#..#.###.####......#.#..####......#####..###.#.....###.##..#.#...##.#..##.#...##....###.#..##########......#..#####################.##.....########.##.#.........#.#.#.###.#######.##..###.##.#.##.#.#.#.#....####.##.....#....#.#....########.#.###.#.#.#..#..####.#...######.###.#...##.....#...#..##.#.###......#...........#.##.######..#.##.###..#######.#...#......###.##....##.###.#..#######..##.............#####....###################.#........#.......#...####.###.#.###.##...##.......##.#...##.####.#.####..####.####.######.#.#..........#####.#.##########........#.#####...##....#.##.###...###...##.##..#.#.##.#.#.##....#.#.##.....#...###...#####...##.##...##.##.#..#######.#.###.......#..##.#...##.##.#####....#.#...###########........##.###.##.#####.#...##.####..####..###.#.#.##....#...#.###..##....#.#...#.##...#.#######
##........##.##.#####.##.#.....###....##.###.#####.##.....##..#.###########.######....#.#.#########.###.##.#.#.#.....###..###.##.#.##..##...####.#.####.####.#.##.#...##########........####.#.#..##..#####..###.##.#.#.##..........####.##.#.#.##.#.##......##.#.###.#.###.#.#.#..#.#.###.#.#.....#.#...#########..##...##.#....#.#.####.#.#.....#########.#########........#..##.#########....##########.#..######.######.###.##.##...#.######.#####.##.##........###..#######.####.......###.##.#.#......####.##..####.##.......##..#####.##.#.##.....#.##.#...##.##.........###.#.##.######.##.#......#######.#.#..#..#.##.#.##..#####..#.#.....##..##....#....##.....#.########.#.##....###.###.####.##.#.#.#..###..#####.#.###..####.######.#..##.##.#.##.#...####.##############.##...#.##.####.#...##.##..#..##...##.#........#####...######.##..##.##....##.....###....###..########.##.....#....##....######....###...####.#.#..###.##.#...##########.#.##.##..###.####.#.##
#..##.##.##..##..##.###..####.##...#.###.###........##.##..######...#.##.#####.####.#.......###.#...#....########.#.#####.######.#..##..###.#....#.##......#####....#.#..##.####.#.#.##...##.########.##....##.#.#....#..#######.#.##.#.....#...........####....#...#####.........#############.##.....#.#.....#...#####.##...##......#...#######.#..........##...####.#.#.#.#.######.#.##.####.###......#.##.#.###..............#.####.#.##...........######.###.###.######.##...#.#######......###.##.#.#.#....##.##.#####.#.##.##..#####..####.######.#.#..###.....#####.#.###...###..........#####.##.#.##....####.######..#######.####.....#.#....######.####.###.#.##.#..#.##..#.#..####........#...#..#.#.#.##...##.....#.#...##.#####.######.##.#..#..#####..##...##.##.###.....######.#.......###.##..##.#.####.##....#.##.#.#.....#.##......#.##..####.####.##...###.##.#.##.#..##.....#.#.##.#..##.#..##....##...###.##...###.##...##.#.#......##....#..#.##.##...........#
#.######.###.###.#......####..###.##.##..#...#.#.#######..###.....#.................##.#.####.....#.######..#.##..#.#......##....#.###########.#.###..####.##.##.#.####.##.......######.#..#.##.###.##########.######.#.##.#.########...#.#...##.########....##...####..###########.##....#.#...#..#.#########...#.#.....##########.#...#..##.#...#.#######.##..#......#.#.#.#..#.#........####.#.##.#.#.........#..#.#.#.#.####......#.#.######.##.####....#####.#.#.#.#.#...###...##......#.#.##....#.#.####.#..#.#...##.#####..#..###....##.....##.#######..####.#.......#..##.####..#.#.#.#.####...#..#.#####.##.#.###.#..##............#.#.#.##.#.##...###.#......#.#####......#################...#.##.#.#.######.##.##.#########...#.#.#.##...##.##.#.###....####.##.....#...#.#.#...######.##.##...##.#####....###..#.##.#..#.####.##..###.#.######...##...##..##.##.#.#.......##....###.#.###..#.##..##..###.##..#...####.#.#...##.#..###.##.#.###..##.#.##.#...##.###.#.#.##
#.##.....#...#...#.#.#.##....##....#.###.#####.#####.....##...##.##########.##.###.#####..##..#.#.####...##......##.#.####.##.##.#.#...........#..######.......########....#####.#......#.####....#.....####.#.##.##...........##.#...#######..###........####..#......##.####...##..####.....#.#.#####.#......######.##.#.###.####.##.###....#.#...#.#......##.#.#.#.##.#.######.####.#.#...........####.##.###.##########.#....##.#...#.#.#..#.#..#....##.##..............#.#...#....#.##.###..##.###.#.##...#.######....##.######.#...##.##.###....#.#.####......#####.#.##.##.#....##.#.#.#.#....#.#.##.....#......#.#.##.###.#####.##.####.######.####.###.###.####.#.#.###.##..###..............#.#..###.####.#...####...##.###.###..........######..#.#.#.##.##...###.##...###.#.###........#####.#.##.#.....##.####.#.#..##.#.##...#..##...#...##...#.##.####.##..##.....#.###.#####.#...#...##.#..##.##.##...##.######....####.######.###.##.#.#...###.#..#####.#....#####.##
#..##.##.###.###.###.#.#..##..###.##..##.#......##...###..#.#.##..###.###########..##....####.###.#....#....#.#.#######.#...###..#.##.#.##.#.#.##..##....#####.##.#.#.#############.#.#.###....##...#.#............##.#.######......#...##....#####.#.#.#.##...###.#.#.........#..##.##.####.####.#.....###.#.#########.............##..###.#...#.#.#...##.#..###.###.#..####.#.#.#.########.#######.##....###.#...#.#.#.######.#######.#.#...#############.#..#.#.#.#.#.##.#...#.#.##.###########....##########..##..##.#.....###.########.##.####.#......#...#.##.#.....######..####.#..#.#.#.#.##.#.#.######.#.#.#.##.......#####....#....#####.###..###.#.......#....#....#..##.##.#####.#.#.###.############...##.##.#..#.#.......#####.###.#......##.###...#..####..#######.##..#.##..##.##.##.....#.##.##.#.#####....#.####..######.#######.###.###.##.##....###..##..#.#.###....#....#.#.##.#####.##..##.#..#.#....###..#.##....##.......#.##.#.#.#.##..####.....##.#.###....#
#.##...#####.#.....######.#####....#.##..#####.####.##...####..##.#........#.#..#.###.##.#..####..###.#######.#.#.........#...##.#..###.######..######.#.#............#.#.#.....#.###.#######.####.######.##.##.##..#####.##.###.##.##.######.##.########.#..#.#...#####.##.#.###.....#.#....#....#####.....#.#..#.#.#..#.#.#.#####.##.##...#.#.#####.#.##.########...####........#.#.#...####.#########.###.....#.........#.#..##.#.#..#.###.#.#..##...#.#...###############.#.#.#..#####....##...#.###.#...####.###....#.#.#......#.......##.#....######.#####.#..#####.##.....####..##.#.#######..#####........#.#.#..##.##..##...####.####.##..#.####...#################...###.##.......#.###.....##..#.##.###.#####...########.#...###..#####.#####..##..#.##.#....##........#.##.#..##...#####.#.##..#.#..#...######.#.#.###..#.#.#.###.##..##....#.##..##.#.#################.#...#.######.....##..#.######.#.##.###...#######.###.#.#.#.#..#.#.#.#.###....####.###.#...####.#
#.#..#####...#####.##...#..######.##..##.#.....#.#..###.##....############...##.....####.##..#.########.###...###.##.##.#.#.###..####...#.#....###..#######.#.###.###.#.#.#####...###......##..##..#......#..##..##..............#####.#......##...#.#.##############.#..#..###...###.....#.##.####.....#.######.......########......###..#.#.####.#..#..####.#.....#############.#.#...#...........##.###...###.#.#.#.#.#.....###...##.....#.#.##.####.....#.#.#.#...#.##.#..######.###.####.#..#.#.#.#.###.#.####.##.#.##########.#######.##.#.##.#........###.#.##.....#..###.#....###.#..#.#.###.#.....##.#.#.#.####.##.##.#####.#....###...##.#.##.###...#######.###.....#.#....#.#.##.#####..#.#..##...#........##..###.##.....###.#...##.......###.####.#..######.##.#.#.#.##.##.##.##.###.....####.##.#.###.##......###.....##.....#....#######.##..##..###...##....#.#.##....#.#.#..##....##.##..##.##.....##########.#...##..##..###.####.###.#.#.#...##.##...##..#.#..###.#
#.#.####...#.#.....#..#...##..#....#.#####.#.#.#...##.#..####...##.#.......#..#.#.####....##................#..##..######.#...##.#....###.####.#.##..##..###########......#.#####.....#.#.####.###.#.#.#.###.#######.####.#.#.##.#.##..#.#.#######.......#.#....###.#...###########...#.#.#.#...#########.#..#...#####.##.......###.####.#######.....##.##....##.#####.........#....#.#.###.##.####..#.####################.##.#...#....#.#...........#########.#.###........##....#.#..........##.#.#...........#..########..##.............######.########.....####.#.####.##..##.#.##..##.#.......#####.#..#.#.###....########.#######.#...#.............#.............#.#.###.#.##.######.#...##########.##.###.#....####..#.###.#.....######.##.##.....##.#.##...##..#.#.###..#.####..#....####.##.....#.###...######.##...########.######.####.....#.####..##.#..##.#........##.###.##.#####..#.##.##...#.##.##..........###....####..##...##..####.#.##.##..####..##.####...#.#
#.#.#....#.#####.#.#.##.#..##...#.####.##..#.#.#.#.#....#########..##########...#.#....#.#########.###.#.##.#.##..##......#.####.######....#...#....##..##.#.......#.#.##.........##.##.#....###.#.#.#####.###.###...#....#.#..#.#....######.......#####.#.####.......###.###.#.#######.#.####.##.........##...#.##....#..#.#.#.#...#....##......#.####.#####..###...#####.###.###.####.############......###.......#.#.#...#..######.#.#.###.#.##.##..#.#.#.##.......#.##.#.#####.#.###.#####.#################...##.#.##.##..##.######.##.###.#...##.......##.###...#.##...##.##..#..##.##.#.##.##.####..##.#.#.#####.##....#...#.#.#...##.###.##.##.#.#.#####.###.##.#.#####...#.#####.#.....#....##.##.#....######.#.#....####.######.##..#...##.####.######..###....##.#.##..##.#.###.##.###.....##.#.####...#.#......#######.#.######.###......#.#.#..##..##..#.##..########.#..#....#.#.#...##.##..##.##.#...#######.####...#.###...####.####....#.#.##..##.#....###.##.##.##.#
#.####.#.#.##....#.#..####.#..#.#..##...##.#####.######.##..###.##.##.#.##....#.####.#.###.#.......##..#.#..#.######.#.##.#####..###.###.#...######.##.##....#.###...#..##.#.##.#.#...#.##.#.#.....#.##..........############.##.######.#.#..##.#.##.........#####.##.#............##...#.#.....#####.#.#####.##.###.#.#.######.##.##.#.######.#.####.###.#.##..#..#....#####....#.#.####.##.........#.##.....#####.......###.#####...###.#...#..#####........######.#########.##....#...#.......###........#....#..#.#....###.#####......###.....#..####.####....###.#####.##...##.##.##.##########.#....##..#.###.#...##.##.#.#.....#.####.#####...###.#.#.....###..#.#.#.....#.#..##.....#####.#####.#....#.##.##.########..##...#.#....##...#.##.#......##...##...#.#####..##..###.....##.#...#.###..#....###.#.###.##.#.......#.#.##.......##.#.#.#.##..##.##.##..######.#.#..##.#.#.####...####.##.###..####.##.......######.#...###.##......##.#.#.###..##..#.####.......#.##.#
###..#.###.#..##.###.##....############..#####...#......###.#.#....##...###.###.##.###.#...####.######.######.#......#.#......####...#.########.#.........##########.#.#####.#..####.#######.#.#.#.############.#####.#####....###..........#####..###.#.#.#.......##.#.#.###.##.#....#.#.##.##.##########....#...##.#.#.#......##.#..####.#########..##....###.##.##.#..##.##.#......##.....#.##.#.##.#..##.##.....##.######.#.....#.#...##.#####.....#.#.##.#.####.##...........##.###.#####.###...#.#.##...##.##.#.####.#.#.#.#.#####.##...#.#.#.###.######.#.####.##....#..######...###...#.#....##.#.##.######.###.##.##...#####...##....#.######...#.##.#.##...##.#######.###.##########......##....####.##..#.##.#.#...#####.....#.##..#.#.#..###.#.##..#..###.#.#.....####..##.###.##.#####.#...##.#.##...#.#...#..#.#.#.#........#.###.##.###.###..##..##.###.#..........#####.######.#....#..#.#...##....######.#.#......##.##...####.##..#.#.#..###..##.#..##..##.#.#######
####...##..##..###....###.##...#.#..####..##.###.###.####.#.#.####....#..##.######..#####.##.####......#......###.#.######.##...##.#....#.####....##.#.##.#..........#.#..#..#.##....#....##.#####.#.............#..........#########.##.#.###....######.###.#.#.#..###.#.##..##.#.##.#####..#..#..........#.###.##############..#######...........##.#####.#.#.########.......#.#.##....##.######################.##..###..#############.##.#.#...#.#.#.#.#..........####.#.#.##..########.....###.########.##..#....#............###....###.#.#.####.........#.#....###.#.#####.###########...##.####.###...##.........#..###.##....#.###.#.#...#############.####..#.##......###.##...#.#...#.##..##.#.#....###...#....###.#.....##.##.###.#.########.#..##.##.#...####.##....##..###...#####....###..#.####.#.#.#.#.##.#.#.#####.#.######...####.....##..##.##...#.##.###.#.#.##......##.#.#.#.###.#.#.#..######.#....######.#..###..#...##..#.##.#.####...##..##.#..##..#.......#
#....#..##..##.#...#.##...#..#.....##.##.###.##..##..##............#.###..###.##...##.#.#.##......###.#####.#..####.#.......#####..##.#...#....##..######.##.##.####.####...##..##.#...#.###...############.####.####.#.#.#...##......#..###...#.##......#...#.###.##...#..##..###.##.#.....#####.#.#.#.##.#..##.#..#.#.#.###...##.....#.###.###.#....#.............#####.#.######.#..#######.#.##.#.###.#.##.#....#####...###.######......###.##.##.#.#######.###.#.##....#.#####.#....##..##.##....##.##...##.###.#.#######.#.##.....#.##...#######..#.#.##.#######..########........##.#####....##.###...#######.#.#.############.##.#...#####.....###.#.#####....#######.##.#...####.....#.#.##.##..####.###.###.####.......##.###.####.###.##.......#.###..#.###.#....##.##############.##..#####..##..##..#.#.#############.#..#####.####...####.#####.##.##.########...#.#.######.###...###.#.###.#.#.##........#.##......##..###.##.##..##.####.#....#.###.##.##..##.##.#.####
##.#.#.##..#####.#.######.##.#####.##.#..#....######.#######.#######..###..#..####.##........##.#.#....####.#.##....##.#.######.#.#######...#.##..##.......########...#.#.#..##.#####.##...#####.........######.......#####.#..###.#.###...##.####..#.##.##.##.#...###.##.####.#...#####.######...########.#.##..##...........#.##.#.#.####..##..####...########.####.#####.##.....######.##....#........#.#..###.##.####.###.......#####.####..#########.#.#..#...#.#####.###...######....##...##.###.....#.##.##..#....##...######.#.#.#..#.##......##.####.##..######.#.##.#######.##..#.######.##..###.##.......#.#..##..........##.#.#.#.....#.#.............##.#.#######..#.#.#..##.##.###.####..###.###...##..#.######.#.##.#....##.......#####.#.#...#.########.#.##...##.............#####....##..##..##.####.##....###....##..........#...##..#.##.##.#....###.####.#####.##...#...#..##....##.###.######.##.#.#######..##..##.#...##..#...##.####.#.#....#..##.##..#.#...##
######.###..##...####.##########......##.#.#.#####...#....####.##....##.##.##.#.....#######.##..#.#.#.##....#.#..##.#..####.....###..##.###.#.##.##..###.####.##....#.#...#####.#......#.#..#.#..#######.#.#....##.#####....#.##...#...##.##..#....####..##.##.##.##...#...#.###.#...##..###.#..###........#.#..##..#.#.##.#.##.##.#.#..#.#########...###........##.#..#.....#####.##......####.########.#.##.#.###.........##.#.##..#######.##.##.##.#.#.....####.###.#########..#.#.###.##..#.##.#.#####.#######.###.#..##.##...#..#.#.######..####.##.#.....##....###............#..##.#.#.#.....##...#.###.##.#.#.#.##..##.##.#.##..#########.########.####.#.#.....##.#...####.##....##.#...#....##....####.###..........#..#.#.#.##..##########..#.#.#####.##.#########.######.###.##.#..##.###.###.####.##..##.....#.##...#.####.##.##.#.#.#..##....#.#..#.#.##.#...##.#..##....#.#.#.##..##.#.#...##.#......##.#.#.##.##.##..###.##.####.##.##..#....####.#.#.###..#.##.#.#..#
#......#.##.####.###..#.###.##...#.##....###.#...########...##..###.##..........#.#.....###.##.##.###.#########.######.##...#.#..###.#......#..#..#####..#.......##.#.###.#.....#.##.###.####.#####...#..#.####.##.#...##.#####..#.#.###########.###.##.##..##..#####.###.##.....###.#..##.....########.#.##.#.########.#..#########.##....##.#.#...#...######.#....##.####.##.....######.##..#.#.###............#..#######..#######.#...##.....#..##.#.########...##.....##.#.##.........##.#######.#.......##....#...##.....###.##.#.#.#.#.#####.########.#.####.#.....##.#.#.#.#...##....#.#.#.######...#.#..#####.#.#..#####..#####.#.....#...##.#.....####.#####.####.#####.#..#..##.#..###.##########..#...#.#.#.#.##.#.#.##.#.#.#..#######.....##.####.##..............##.....#....####........##....##.##.####.##.#.#..#####.#####.#..#.###.####.#.####.#####....#....##....##.#.#.#..##.##.#####.##.##.#.#..#####........##...###..#.#..##.######.###....#.#.#...####..###.##
#.#.####.##..#####.#.##.#.#....#.#######.##....###..#...###.#..##.#########.##.##.#.#.#...#.##.#..#####.##.#.####....###..#.####..##...#.#.##.#######...###.##.#.##.#.##..#.###.###..##....##..##.###.##........##.#.#.......##.##.###.#.#.#######.......##.###.###.##########.#...######..##.##..#.###.#.##.#.##.......##.##....#########.##.#.##.##.###......##.#......#########.#.......##.#.......##.#######...##.##..##..#.#......#.#..###.##.#.....##.##.##.###.#.#....#.###.###.#.##..#.####....###.###########.###.#.##......#.###...#.##...........#.#....##.##.#..###.#.###....##.....#.##.....###.#.##.....#.##.#..###.#.....#.#.#...#.##...#.###....##.....##...#......###..###.#######.##.#.###...#.....###..###.#..#.###.#.###......##.##...##...#.#.#.#.#.##.#..####.###.#######.#.#.#..#.#.##..#....#######...##.......#...#.##..##...##.####.#.#..#..##.#########.##..#.#.#.##..#..##.....####.#.#.###.###.#.#.###..#..###...##..#..###...##..#.##.####.##..##.######
#.######.#..##..#....##.#.######.###.#.#..###.##.##.###.....##.##..##.......#..######.###.#########.##........##..##..#..########..##.######...###....#.#.####.#..#.#.#..##.#...#...####.#..##...........#####.##..#.##.#.##########..........#.#####.##.##...###....#.#.......#.#######..#######...#...###..########.#.######.#...###.##........######...#.##..#####.##...##.#.##########.##.###.#.###..##.###..###.....####.....##.#.#.#####.......###............########.#.....##..#..##.#..##..#####.....##....##.#.###.#####.#.#######.#.#..#.#.#.#.#.#.#.#.######.#.##...#.#...##.###.##.#.####.#.##.....##.#.#####.##.....###########.#.#.#..#.#.#...##..#####..###...######...##...##...........#.#.#.##.##...####...#.####...#.#...####.##..##.##..#...###.###.#..#.##.....######.#...#.#.#.##.#..##.#.#.##.......#.#####.##...#.#.##.##..###...#...####...##..##.##..##.###.#.#.#..##.##..###.###..###.####......#.#...##.##..##.#.#..###...#.#.###.#.#....##....##.......#
#.#......######...##.#..#.#...####...#.#.##...##.#...######....##.########.#####...####...##....##...#####.#.########.####....#.##..###.########.###.##.#......##.#.###.##..###.#.#....#.#############.###.....###.#.####...##.#..####.#.####.........##.###.#######.....#.#######.#.#.####.......#...#..##.##........###.#....###........######.##.##..#######.##.#####.#........###.##...##..###########......#####.##.#..####.##..#.#..##...#.#.#.##..#####.#.##..#.##....###.####.###.#####....####...#.#######.####..####.#...#.###.###.....##.#####.#.#.#.#.##.....#.#..######.##..#.###..#..#######..##########.#.###########.#.#.#.#################.###..##...#####.##...###.####.###.##.#.####.....#########.##.###.#..##..#####.#.#....##.##...####.#.##....###.##.#####.##........#.#.#.#.##.##.##.############.###.....#..#.#.#.##..##.#...#...#.###..#.#####...##.....##.#.#.#.#####..##...####.##.....######.#.##.##...##..#.####...#.#####.#...###.#.##..##.##.#.##.##
#####.##.#..#.######...##.###.#.####......###.#..##.##..######.#...##.##....##...#..##..#..##.###..#..#.##.#..#.#..##.#.#####....#.####..#...........##.##.##.############.######.#.##.#.##....#.......#...#.#.#...#.#....####.##..#.######.##.#.#.##.##.#...##......##.#######.##......##..###.#.###.#.#####..#.##.#..##.##################.##..#..##.##..#.####....#.####.##.##..#..#..#.###.#.##........#.#.###..####.#.####...##.####....###.#.#.#..##.....#.##.##..####.....#....##...###..##.#....#.#######.....###...##...#.###.......###..###.....#.#.#.#.#..#.#.#.#####.#####..##.....##.##....#####...##........#.##..............##.#.#.##.#........##..#####..####..#.#.#.######.########....#.###.........##.....######.#.....###.#.##..###.##....#.#..#.##....#.#......###.#.##.#.#.#.#.##..###...#.#.###..#######.##.#.##.#.#.#..######.###.####.##.#.#.###.#....#.###..#.###.....##.##.###.....#.#######....#.#...##.####.#.##.##.##....##.#.#.#...#..#.##...###.#####
##..####...##...##...#.##.#.......#####.#..##.##.#...#.##..#.#.###.##..###.#####.##..#.###.##...#####...#####...##........######.#.#..##...#.#.##.##..#.#..##.#........#.###...###############.####.#####.##.###.########.##...###.#.####......#.###..#..#.#..##.###.##.#.....#..##.###.###.##..#...###..#.##.##.#..##.#....#.##..............##.##.######...#.###.#.#..##########.##...##........###.#.##.#####.#.##.......#.#.#..#######.#.##..#.#########.#.#.##..##.##...#.#.##.#..##.##...######.#.#.....##..#.#.....#..##.#######.##.#.##..#####.##.#######.#.##########....#.###..##.##..#.#####..#.#..#.#########.#.##############.###...#......##.#.#.#..#######.#.#..##......##....##.##.#..##.#.########.##..###.#....##..####.####.#..##..##.#..##.#.##.######.#####.#.#.#...#.#..#.#.#.###..##...#.#.#.#.##..##...######..###.####......###....##.....#.#.....#.##.#...####..##.##.##..##.##..#.#.....###.##.###.##.##.....###....##..#.#.#####.####.###.#..##.###....#.#
#..###.###..###.####.#.##.######.##.....##.#..##...#....##.........##.##...##.#...##.###....##.##.#.###.#.#.###.##.#####.##.#.##.#.##.#..#.###..####.##.##.####.######.#.#####.#.#.##.#.#.........####..###....###........####.....#.#.#..####.######.#########..##..########.##.##.#...#.#.###.#.####..##....##.#.##..####....###########.##....##.#.#..###.#..####.##..#.#.###.#.###.##..#.####.#.#.#.########...#..#.#.#.....#.##...#...#.#..####..##.....#.#.#####...###.#.#.#..##.#..#######.#...#####.#..#########.###.....###..###..#.######.##.#..###########.#.#......##.......######.####.####...##.#.#.##......#.#.#####.#......#.###...#.#.###.#.#.#####..........##..#.########.........##..#.#........##.####.#.#.###.##....#....#.####.##.#####.#.##...#.#..##....#.####.#####.#.#.#.####.########......##.#..#..#.#...##...##...##.####..#.#######.#####.###.####.#####..#####..##.##...#######.#.##......##..######.##.##..#.###.##.#..#.##...##.##..#.###...##.#...#
#.###....##..........#....##.#......###.#..#.#####.####..###.#.#.#.....##.##..##.###.....##.....#..................#....................##...##.#....##.####.#####......................####.#.##..#.##.#...###############.######.......##....##.....########..##..##..............###.....#.#####.#..######.#..#####.##.####......####...###.#........##.#.#.##.##.###.#.#.#......##########....#...###....#.###.#.##.#.###.#.######.###.#.########....#.###.###.#...#.....#####.#####.##.####....#.#.....#.####.#...###.##.####.##.##..####.##....####.#.#.#..#.##.#.#.###.#####.##.##.#....#.##.#....######...####.##.#.#.#.......##.#.......#.#.#.#...#.###.....#.#.#.##..#.##..###.###.##.#.##..##.#.##.##.#####.##...#.#.##...##.#.########.....#...##..########.##.##.#.#####...##....###.#...##.....#.#######.#....###...##.#####.#..#.##....##.#..##.....##......###.....##...###..##.#...##.##.......#..##.##.##..##.......#..##.#.##...###.##....#.##.##.##...##.##..#.###
#.#.####..##.##.#.#.###.#....###.#########...#.#.######.##...#.####.##..#####.#####..#.#.#..#.#...#####.###################.###.###.##.##..###..##.#.##..###.....######.#.#####.#.#####.#..#######........#...##.....#.###..#.##...#.#.#.##.#.####.#.##..#.#.############.########.######.###.##.##...##..#####.##.....#...#.##.#.#......#..#####.###.#.#.........#...#........##.#.........#####...########...#.....####..####...##.#.#...#####.#....##.###...##....#######.##.#..##....#.......#.######.#.####...###.##.....###......##.##......##..#.#.#...##....#.#.####..#..#..##.##.###.##....####..##.##.#..###.##.......#.#.#.####.#.#####.#.###.#.#.#...#.###################........######.##..############..####.#######.########.##.###.#.##.#.###.##...........#####.#...#..##.#.##..##.##..#.#.#...........##..####.....##...##.#..##.#.#####.###.##..##.##########.#####.....#####.########.##.#.#.###.#...##..#.##.##.##.##.#####.##....##.#.####.######.##..##.##..##
#.#.###..#####..#.###.####.#..##.#....##.###.#.#.##........#.#.##....##..#.#...##.##.#.######.#.#.#.....##....#..##.#.#####.##..#....#####...##.#..#.#####.#####.##.....#######.#####.#...###.#.#..#.####.#.#..#####.....##.#....#.#.###.##.#.#....#####......##.#.#.##.####.##..####.....#.........#.###.#.#####..#.#####.#.#..####.#.######.#####.#.###########.###...#.#.#.###.##.###.##..#.######...##...#...#.#..######.#..#.#......###.......########..#.#####.##......##...##..#.#######.##.#.#....####.###...#.######.#...####..#.#######..##...####.####.#...#.##.#####.##.#..##..########.##.##..#.#####.#.#####.##.#.###.###.########...#############.###..#.#.#.##.##......##.##.##......#..##......##....##......##..####.#............#.##.#...#####.##.##.##..##...###.##.##.#.###.##.###.#.######.##.#.###..##.#####.##########.#######......##.#..#########.##....##...###...##....##.....#..#.####..##.####.#..####.##.##...##..##.#.#####.##....###...#..##...##..#
#.....##.##.##.##.###.##...##..####.#........#.#....####.#.#.#..##.#####.....####.#..####.##..#####.##.######.##............#..##.##.##....#######.#.#.....#.###....#.#.##.......##.....#.........####....#.#.##.....###......##.#.###...#..#.#.#.###.#..##.#......#.#...#....#.##..###.#####.#.##.####...#.#...######.......###############...#.#.....##.............#.#.#.#...############....#######.###.###.##.##.#......#.####.#.#.#####.###.##........##.#.....#..##.#..###..##.#.#........###...#####.#.#.###.#........###.#....####.#.####..##.###.....######....#.#.#...##.#####.##.#.#........#.##...##.....#.....###.###.#....###.....#..##..#..###...####.......##....##.#.#...######.#####..####.#..########.#.#####.##.#.###.#.#####.##.#..##.##.....#..##..##.#..#.....#..#..###...#...##.####.#####..#...####.........#.#........#..#######.###.##.##...........##.####...#.#.##.#.#####.####.#.#....#####....####.....#..##.##..###.#...#########...##.###.#..#..##.#
#####..#.#..#######......#####..############.....#####...#.#.#.#######.###.#..#.#.#####......###....#..#.........#.##.#.##.###.##.#..#####..##.#.#########.....###.####..##.##.#..#####.##.#.##.########.##.#.###.##.##..#.#####.###...###.##.#.###.....#####.#.##.#.###.####.#..##.#.####.##############...##.##..##..#.###.#.#..#...##.#.###.....###....##.#.######.###.#.##.##.........#..##......##.#.#.##..####..######...#.#..###.##.##########.#.#.#.##.#####.##.##.#.##########.#.##.#####...#.####............#.#.#.###..##.#...##.#.#.######.#.###.###.#.#####.......#.####.....#..#.###.####.#.###.#######.###########...####.#.###.#.#.####...##.#####....#####....##..#.####.###.....#...####.#####.#.#......#...##.......##..#.#.....#####..######.#.#.####.##.#.##.##.###.##.##..#####.#####.#.#.#######.##....#.###.#.#...##.#.#...##.#.......###..#..#.##.#.##.#...##..###.###..#.#.##..##...#.#.#.##.######.#######.###.##..##...#.#.###.##..#...####..####.##.##..#
###.##.#.#.##..#.######.###..##..#.#......####.####....#.#.#.#.#.#.........##......##.##.#.#...###.###.#.#.##.####.#..###..##..##.##.#.##..##.....#.#.#####.##.....##...##..#..####.#####..#.##.##.#.....#..#...########.#.#......##########..#.##########.#######...#.#...#....###....#...#.#......#.#.###.##.#..##..##.#...#.##...#..........#.#...##.#.##.#.#......##..###############...####.#.#.........##...##.####....#...#.##...##............#.#.#.###########.#..####.##.#.###########.###.#.#..####.#.##.#.##.#.#.#...#######......#.#.#.#..#..##.##.....#####.#.##.#..#######.##...######.........#.##..#.....#.#.#...#.###....#...######.###.#....##..##.#.....#.##..##...##.##..#.###.#..##............##.#.#.#####.####....##.#.#.#..##.##.##.....###...##..######..#######...#.##......##.........#...#####.#.#.##..#.#.#.#..###.#.##...#.#.#...#.#####.##.#.##.##.###.##....##.##...###.##.#.#####.##...###.....##....##.##.####.##.#.##...##.###.##.####.....#..##.#
#.#.##.#.#.##.##....##..#.##.###.#.######.#.....##..#.##.#.#.#.#...##.#.##..##.#.#.......####.##...#.#.######.##...##...####..##..#....###.#..#.#...........###.##.####.###.##.#..........##.#..#....##.###.##.######....#.##.#.#..##......#.####..#.###.#..##.#...#.....#...##...####.###.#.######.#.#..#.......###########....#########.####.#.#.####.#.###########..######.##..........#.#########.#.#.#.####.##..#....#.##.#.#.#..#..##.##.######.#######......###..#.##..............#.#........####......####################.#.#..##.#.....#.##.##.......###.......#######.#.#.#.#.####....#.##.#.#.##.#.###.#####.#.#.##.####.##.#...####.#.#.#.#.####..#.#######.#.#####..#####...#######..##....##.#.###.#.##.###.##..###....#.##..###.#.##......##.######.#######..#...##..#.###.####..#.#.###.##.#.##.###.#######.#####.#.###.##.##..#.#..#.#.#.##.##.#.....#..#..###..#....###.##...##.##.#..###.##.##..###.....#.#.###.####..#.#.#...########........#.....#.#.#.#.##..#
#..........#...####..##.#.#........##.....###.#..##.#..#####.#.###.##.########.#.#.#.#.#.##....###.#...##.#....###.###.##....####.#.#.##...##.#.#.##.##.##.##.####..##...##..#######.##.#..###.###.#..###.#######.##..##.#.#..#.##.######.##.#.###.......##.#..############.#####.#.##.##..#.##...#.#.##.#####.#####.#.##.###.#........####....#.#.##...#.#.#.##......##.........####.#####..##.#.#...#.#.#....###..############.###############.......##..######.##...#######.###.#.###.##...#.#.##.###..##.#######.#.##.#.#.#.#.......#########.......###.###.#...#.##########....#.#.#.#.#####......#####....#.#.#.#.#.#....###.....####.####....#.....#####.####.##...#..##...####.##.##.......######..#########..#.#....##..#..#.##..##.#...#..##.#.######.......#######...#..##..........##.#####...##.####.##..#.##.#..#.....#.#....#..##.####.#.###.##.#..###.#.##.##.###.###.#...#.######..##...##...##....##...#.###.#.#....##..####.#.#..##..#...#.#.##...#######.#.#..##.#
#.##.###.#.##.###.##.####.####.#.#..#####.....##.####.##.....###########....#..#.#######..##.####..##.##....########.#..###.##....##########..#.#######.##.#...#...####.######........########..#########.....#......###.#.##.#..###.###...###.#...#####.#..##.##.#.#........##......#.###....###...#.#..#..##...##..#.#......##.#####......#.##.######.#.#......#.##..###.#.###.#....#.....###.....###############..##.###........######.###....#.#.#..##...........####....#######.#....############.#.##..###.##...............########.#.#....#.#.#.....#...###########.##.####...............##.#.##.###.#...........###.########.##.###..####...###....#..........#.##..###.##......########..##....###.....#..##.###.####...##.##.#######.##.##.#..##....###.#..##.....#.#.####.#.#.#.#######.###.##..##.#.###...##.##.##.##.#.##.#.##.##..##..#.#....#.#.##...#.##.####...##..#.#.#......##.##.#..##.###.##..###.#.#####.##.#..##...##...##..##...#.#.###..#..#..##..#.#.###.#
#.########.#..#.#.#...##.....######...##..#.#..#..##...##.##.##........##.#...##.##.#.##.#####..##..###..#.###.........###..#..##...##.......#####.#.....#####...####.#..#.#.######.####.###.####.#.#.#.#####...##.#.#...######.##.......#..#..#####.##....###........##############....####.##.###.#.##.##..#.#####.....##########....###.##.##.##.#...#.##.#.#.#..####...################.#.#.#.###..#.#.##.##.#####......##.##.##..#.#.#.####.#.#.#.##..###.#.#.#.##.####.##...#####.#.....###..###.#######.#.#..#.####.##.######.#.........##.###.##.##.##.##...................#.##.#.#.##.#..#####......##.##.#.#.#.###..#.##.#.....####..#.##.##...##...#.##.###.#.##.##...##.#.#.##....#.######.#.#.#####...##..##...##..####.##.##.#....#####.#.########...#.##..#.#.#.#.#.#..#.#.#..##...#.....###.##.....###.......##.##.#.#..#.##.#..#########.###.#.#..#.#..###.#..#..##.###.##.#####...#.#.##..##..###.##..#...##...###.##..#.##.#.##.####.##.###...###...######.#.#.#.#
###.#........##.#.###.######.##.#.##.##..####.#######.###########.##.#....###.####........#.#..####.#...##.#.###.#.##.##.##.##..##.##..#.##.###......##.###.#..#.###....##...........##.......#.#........##.##.#######.####.##...#####.#.##...##......##.#.#.################....######.#.#...#.###...#..###.#..##.####.##...##.##..#.###..##.#..#....#.#.##.#.###.##....#.##..##.###.......#...#.####......#.#....#.###.##.#...#####...#.#.#....###.#####.#######.####.##.#.####.#..#######.##.##.#.#.##.###......#####...##.#........#.#.#.####.##..#..#..##.##.##.##.#######################.#.###.##.#.##.#####.#.###.#...##.#..##.##...###...##########.#.#..####..#.#..##.#..###########...##.#######.##.##.#..##.####..####.....#.#....##.....#.#.#.###....#.#####.#######.#...##.#.#######.###.#..######.##.....#.###.#####.#.##.#..####...####.....##.######.#.###....##.##....#.##..##...#.#.#.##.##..##....##.###.####..##..#.##.#..#.##.##...##.#...#...#.#..#.###.#...#.#
###.#.######.##.#.##...##...............##........#.####.#....#...#####.#######.######.#.##.##...########..#.##..#######....##.##...##.###....##.##.#####.....##...###.####.###.##.##########.#.########.....###.#..#####.#.#..###.....#.####.#######..#.#...#.#...##.......####............#.....###.##.#.#...##...##..####.....######...##..#######.########################.##...#####.#####.#.#..######.#.##.#.......#..#.#.##.#..#.......#.##...##....#.......#.......#.#.#..#.##.#.#..............#...########.#...#..#.#.#.###.####.###....##.###.####..#..#...####..............#.......####.....######...#####.....####.##..######.#.#.#..##.#.##.###.######..##.##.#..#.###.#.#......#.#...#.#.#..##....#.##..#.##.##....#.#.####.####.###.#.#.#.#...#.##.#......##.....##.##..#.####.#...#####.#.###########.#.#.......###.##.#.###.#.###....#.#..#.#...#######..##.##.###.#.#.#..##..#.#.#.#.######.###.###..#...#.##.####.####.##.#.##..#.###..##.###.##.#.##.....##.##.#
#.....#..###..#....###.#####################.###.##.###....##...###.#...###......###...####.####..##.#.#####....##.....##.#.#...#.#.#..##..#.#####..##....#.#.##.########.###....####.##.#......#.##.####.##..##.##..###......############......##.###...###.....#..#######..###########.##.####.##.#......###.####.##.##.#..###.#.#.#..#..##.###.#.....###.#.##.##......###....###.#.######.##.#.##........#.#####.##.###.##.#.#....#####.#.##.########.###.#.#.#.#.#.#.#.....##........###.######.#.#...#..........###.##.#.#.####..##...#...#.#####.#####..###.##.##....#.#.#.#.#.##...#.#.#.#....#.#.##..####..##...###..#......##...##.#.####..#.#.#......#......##..#..#.##.#.....######.#.###.#.#.##.#..#.##..##.#....#..####.#.##.####....##.###.#.###.#.#..#.#.##.##.######.###.###......#...#####..##.#.......#.####.##..##.#..#.#.....##..##.#.#.######..##.#...#####..#.#.######..######.#####.##.#.#....###.#.#.#.....##.....#.##.#.#..####...##..##..######..#.#.##.####
##.##.#.##.##.###.####...##.##.....####........#..#.#...##..###.###.###.#...#.##.....###....#.###.......#.#..#.##..#.#....###.#.#.##########.##....##..##.#########..##.#.####.#####.......##.#........######.....##.#.####.#.#.....##.....####......#####.#####.##...##..##.#.##........#######......####......##..#####...###..#.#.##.#.##..#.....##.##.........#####.##.####..........#......#..########.........####....#.####.#..###..####..##.......######.#.#########.#....#.###.######......#######.#.######.....#..#####....#######.###..##....##.##...###..#..##.###.#.#.#..###.###.###.#.##.#.###..#.##..###.####.######..###.......#.##.......##.#.##.##.####.##########.##........#..#...........#####.######.####.##...####.###..##..###...#.###.####.###.#######......#....##.####.#.#..#.#..##....#.#.#####.....##..#.#.#####.##..##..###.#....####.#....#...##..##........##....###.##.#.......##.#...###.#.#.##.####.####..###.#.##.####..##..##..##..##.#.#.##....#
#..#..#............#.##.##...#####......##.##.##.##.###.#..######.#.#.#####.#.#####.#######.....#.#.#.#.....##..######.##.#...#.#.##..........###########.#.......#.##....#..###.#.###.#.#.##.##.###.#........###.#.........#.#.#.#....#.###.#######..###.....#######..##.#.....######.#.#.......#.#.###...###.##..##.##..###.##........#..##.#####.##.##.#######.#........########.##.#...###.##.###.......##.###.##.##.#.##.##...##.#...##....###.##.#.##.#.##.####.#.##...###.##.#...##.####.##.##.......#.####...###.##..#.####.##.......#...###.##.......###...###.#..#...#.######...###.##..###..#.#.##...###.#.###.#...#.#.##.....#.#.#....####.#.##..#.##.#...##..##.....#.###..#########...####.#.##.##.......#.####.#.#..#..##......####...##.##.....##....##...##.###.###.#.##.##.###..####...##.#####.#.#..#.####.#.#..##.#.#.#######..##.#...#.##.#......##.##.##..####.#.#.#####.###...#....##.##.##.##.####.#.#.#..#.......#.##...#.##......####..##....#######..##.###
##.#######.#.#.###.......##.##.#...##.###...######......#.###.........##.#..#..##...#...##..###...#.#.####.##..####.#...###.#.###########.##.##.........####.##.#......##...##.........#####..#..#...##.###.#.#.....####.########.#.########...######.....#.#...######.#....###.###....#.#######.#.#.#...#.#....#.##..######.....#.#.###########....##..####.##.#.#.#####.##....##..######.##..#..#...###.#.########.....#..###..#######.#####.###..####.#....##.##........#.##..#..###....#.#####..#####.#.###....#.##..###.#...#...#.#####.##.##....#####.#...##.###########.####.#.###...#..######.####.#..#........#....#........############...##.#####.#.#..##.##..####.##.#.##..##...#.#.#######..#.#...#.#.#.###........##.#.######.#.#.#..#########.###..##.####.#......##..#.##.#..#...#######..........#.##.#......####.##.#.#..#.#....##..###.#..#.##.#.#.####..###..##..###...##....###.####.#..#...###..##...#.#.##.###.##.#######.#.#######.#.#..##..#.###.##...##..###
#..###.##..#.#.#...##.##.....#...###...###.########.##.####...#######.#....###.###.####.########.##.#.#.....##.#......#..####.##..........######.######.##...######.######.##########.##..##.#######.#....#####.##########..##..########.....#........#.#.#####..##.#....#####..#.########..###..###.##.##.#.##....##..##..###.#####.##..###.#.####.#######.........#####.#####..####.#.....############..###.#......#.####...######.######.#####..##..######.#...##.#.#.#.#..####.#####.#.#.#.#...####.###.#...#.########.#####.#.#.####....#..########....#.######.#.........##......###.###.##.....##.....######.##...##.#.###.#.####...#####..#.......##.#.##.##..####..###.......#####.............#####.####.#..#######.#.##.#.##.#...###.##....##.......##.#....##.##.#.#.###.###..#.#######.#.#####.#.#.#.#..#.##.##.##.....###.##.....##.#######.#.#######.#.#....##...####..##.#..##.#.#...##...##.##.##...##..#.#.#..###...##......####..##.......##.###.#......##.####...#
##.#......######.#..####.#.#...#.####.##......##....#############.###.####..####.###.##.#.#.......######.#.##..#.####.####.....###.#.#.####.#.########...#####......#.......##.##.#######..###.##.##.##.#.###...#.......#..##..##..#...#####.##.#.##.#######.###......####.#.##...##.##..##.....##....###########.####..##.....#..#..###.#.#........#.#.#...###.#.###.......#.##.##.....##.##...###.##...###....####.#..##..###.##....#.#.#.#...#####.##........#################..#..####.......#.#.....######.#.#.##.#...........###....####.##........#.####...#....##.####.##.#.##.......####.#.#####.#####.....#..#.##.#.#...#.#..##.##.#.#####.#.#.##..#.##.##.##.###.########.##..####.#########..##.....##.#.##.......########....#.#......#.####.##.###################.#...#########..............###.#.#.##.#..#...##.##..######.##.##..##.....#.####....#.####..###.#.###.####.##..#.#.#.#..#..###...#.#.#####.######...#..#.#.#.##....##..##.#.#####...#.##.#.##...##.###
#..####.#..##.#..####....#.#####.#....##.#.#.####.###..##..................##....#..........#.##.##..#...#.#######......##.##############.....#.#....###.#.###.##.#.######.##........##.##..#......########.###########.##..##..##.###.#.#############........##.######......####.#..##.##..#.#..####.###.#.#.....##.##..###.####...##.#.#.###.##.#.#...###.###############.#.#...#######...#.#......###.##..######..#.##..##......##.........#.###....#######.##.#.#.#.#.#.#.#.#####.#.######.#.#.#####.#.#....#.#......#.##.###.#######.#....#..#.#.##.#..#####...#.#######..##.#..##.##.###....##########....#.#.##.######.#.#.#.##..#........##..#.#..##.#.#######......#.##########...####.........###.#.####.#.####.#.#.#####....##.###.#.#.##...##.##..#.#.......##.##.#..##.##.###.#...######.#.#.#.#####.#..####.#.#.########......##..##..##.#.##..#.####.###....##...#........#.##.#########.#.####.#####...##....######.#.##.#######.#..##.#..#...####.##.##.#.##.#.##..##
##.#....##..#.##.####.#.#####....##.#.##.#.#...####...##..###.#.#.#.#.###.######.##.###.#.#.#.##.###.#######.#######.#.#####......#.#.#.#####...####.......#.####.#.#.........#.####.#...##.#####.###..#.##..#.#.#.......##.##.##..##..#....##.#.#.#####.####..###.#.#####.#......##..#.#..#######....#...#...#.#..#.#..##...######.#..........##.#.###.....#.......#####.#.#.###.#.#.##..#########.##...###.#......##.##.######.#####.#.#.#.##.....##.........#..............#...##.....#.....#####.........#.#####.#.#########..##..#################..####..####.###.##....#####.##..#....######...##.#.####.#.#.#..##.....#.#######...######....####.##..#.#....####.##.........#..###..####.###.##...#.#..#.###.#....#####.##..#.##....#####.##.###..#..##.##.#.##..#......###.##.....#.######...#.#.#.#.....##..##..#.#.#........#.#.##..##..##..#.#..##..#.....#.##..##.###.##.#.####..#.#.#.....#.#......##..###..#.##......#.##....######.##..##.#.###....##.##.###..#..##..#
#####.#.###.#.##.#....###.##..##.#..#.#..#####..#####.#######.#.#######....#.#.......##.#.#####..#........##...#...######.####.##...#.#.##....###....#.###.#.##.#.########.##.###....###.##.#.....#.##....##.#...#######........##..##.####.#......#.#.###..##..#.....##...#.#.##..##.#.#.##.#.....######.########.#.#.#######.########.######.##.####..#######.###.#.............#.#.######.#......#..#..#####.##.########......#.....#####.##.###.#..##.##.#.#.########.###.#.###..###...##.##.....##.#.##.#####.######.#.#....####...##.#####.#.#.##.###.##.#....##...####.#.....#..###.###......#...........#.#.#.#####.#.#...###.##.##......##...##.###.#.##.#......#####.#.##.##.#...##....#...####.#.##....##.#.##..#.##....##..###.###.##..#..##.###.##..###..##...######.#.####.######.....#.#.#.#.#.###.###.##.######.#.##.#.#.#..#.####.##.##.##.###...##.#####.##..##..#..#....##.#.....#.#.######.#..##.##..##..####.#.#.##.##..##.....#.##..#...####..#.##.##..###..##.#
#.....###...#.#####.###......###.##.####.##.#####.#...#.##..######..####.#.#...#.##.##..#.##....##.#.#.##..###.##.####..#.#..######...#.##.##.#.##########.........##......##.#...##..........#.#...#####.##.###.#.######.#.#.#....###.#.#....####......###.###.#####.######.#..##........##...#.#.##................#.#.##.#...#.###...###.#...####...##.....###.#.###.#.##.####.#.#.#.##.#.######.####.##.#.#.#....##.#####.#.#####.##......###...#.#############.####..##........##...#.##.##.#.#.######...#.#...........###.###...#.................##.......##..###.#.#############....##.##.#.##.#.##.#.#.#.#.###.##..#.#.#.#....#####.###.##.####..##.#.#####.#####.#######.....###.#..#.##.#.#....#.#..##..#.#..##.#....####..######......##.##..#....##.#...####.##........#.#....##.#####.#.#.#.###.#....##..#.#......#..###.#.#.##.#....##..###...##.#.##..##...###..#####.#.###########.#.#####....#.###.#..##..##....#.#..#..#.#####.#.#####.##.##....##.#####.##...##..#
###.#..######...##...###.###.#...##.##........##....#...###.##.#.#.##.#..###.#.########.#.#..############.##....#.##.##.#...##...####......#.......###.....##.####..###.#.############.#.#.########.#.#.#.....##.#.#...##.#.######.##..#.######....####.#.#.#.........#.#....#.####.#.##.##..#.#.#..####.#.#####.#.#.....##...#.......#.#.....####...########.##....#######..#...........................##.....#.#.##.....##########.######.##...#.####......#.#........##..##.##.####.##.##.#..#.###......###...#.##.####.#...##..#.##.#####.#.##.#.#.#####.##.#######...#.#...###.....##.##############..###.#.###......##.#.######.#.....##..##..#.##.##.#.#.....#.......##.######.......##.##.#.####.####.##.##########.#.##....##......###.##...##.#.#.##....#.#..#.#########.#...##....#.###.#####.##..#.#.####.###.#.##.#.##...#########.#.##.##...#.##.#..##.##.#..#####.....#.......##....#.##....##.###...##..##..####.#.##.#.##.##....###......###..##.#...##...###.##..##
#...##..#####.#....#.#...#######.##..##.#.##.##..##.###...#.##..........##...#.#...##.###########.#........####.........###.####.#....######.#.###.#.####.##..##...###..###.##.###.#...#.#.##.............###........#....####.#.#.###.#.#.#######.#........###.#####.....##.###....###...##.#.#######################.###..###############.####.#######.......####.#.#####.##.#.#.#.##.##.#.#.##.##.#.#..###.#.#.########.#.#...#....#.......#.#.#.#....####.....#.##.#..##.########...#######.####...##.#.##########.#......####.##.#..#.....#.#..#.#..###..####.#.#...#.....#.....#.#.##...#.#..........##...#.#...#.#.#####.##.......#.#.##.####...##.#######.##.##.####....#.##.#######..#.####.###..##...##....##.##...###..#.####.##.##....###.##.#.######.##.##...#.....#############.#.#....##....####.#.#.#...##.#..#.#..###......##...#.#..##.#.#..#######.#..##.....###.#.#.#.#.#####.#.#..###.##..##..#..##..##.##...#..#.####.##.##...######...##.##.#.#.##.#..######..#
##.####.#...####.#.#.###.#.......##.##..#.##.###.#..#...#......##.#.#.#.##.#.###.#....#####.......########.#.##.#######.##...#.#.###.###.....#.##.........###..###.#...###...........#.#.#.#########.#.#.##...##########.####....#.........#..##.########.#...####....##.##...####.##...#########.#.#...#.#.....#.##....###.#..#.#####.#.#..#....#.###.#######.##.#.#.#.#....###.#####..##.###.####..###.####.###.##...##..#.###.##.#.###.###.#.#####.##.#....#.#.#.#..#.#####.#.##.###.#.#...###.#..#.##.#.#..........######.##....########.#.###.#######...##........#.####.###.#.#######.###.##########.##.#.#.##.##.#.##.....##.##.#.###.#.....##.##...##.######..###....##..............####....#...####.##..####.....####..##.##.#.#...###.###...######.#...##.##.#.##.##....#.###.###......#.#####.#####.#.#...#..#.#.#####.#...#.#.##..#.###.##..#.##.##......##..#.#.#######.#.###....##.#.#.##....##.##.###.##.###..#.#.##.#..#.#.#...##.##......#.##..###.#..####....##..##
#..##.#.#.#..##..#####...####.##.##.##.##.##.#.##########.#.##.##.#.#.#..#.#..#####.#...#.####.##..#..........######.##..###.#.#.#####.###.#.#.#..##.###.##.#############..#.####.####.#.#.#.........######.#.#######.#####.####...#.#.###.##..#..........###......##.#..##.#..#####..#.###.#.##....###.#.#####......##..#####.#.#.........#####.#.....#....##............#.########...##..#......##.##..##.....#..#.#..##.#.##..#################....#..##########.##.####.#....#..........#####.######..################.....##.###........#.##....##..##.########.######...##..#....##...#...#.#........##.#.#.#######.##.#.######..###...##.#.##...##.##...#.#.#######.######.##.#.#####..######.#.#..##..###....##.#####.##..#.#....##.##...#.#.#.##.##....#..#..###.#..###.#...........##.#.#...###.##....####.###.###..##...###.#.#..##.#.##..##.##.####..##.#.###.###..##.....#...#.##.#..###..##.#.#..##.#.#.##.##..##.######.##.####.##...##.##.##..##.##..##..#.##.###..###
#.###.######..##....####.#....##..###...######.##.#.......#.#...#.###.#.##.####.#.#.#.#......#####.####.#.##.####.....##.##..#...#.##......########....###...###..#..##...##.##...#....#.#.#####.#.####.#.#####.....#..##...#....#.#.####..###.######.#.#.#...##.#.#..##.#..#.##..#######.#....####.#.......#.######..##..###..#.###########.....#####.####.###.#.#.#.##.#####..##.###.##.####.#.##..###..###.#.##.####.......##.#.#.##.##...#.##..########.##.#....##.#......##...#.#.#.##..##.......#..##..###...........##.#####...###.#.####..##..##....#.........#.#...#.###.#.####..#.###.....##.###..###.#.#.#.###.#######.#...######.##.####.####.##.#......#.#.####......##.###.....##......#.##..####...##########.....#######..####.#...#.#.##.#..#.##.############.###.####.##.#.#..#.#####...##.#####...##....##..###.##..#.#.##..#####..######.###.#..#.#.....####..#.#.###.#.#####.#...##..####.####...#...#.##...##.......##.#..##.###.#..##.##...##..#.##.#....#.####
####....##...##..#.##....#.#.####..###.###.##.....#######.###.#.###...#.#..#......###.##.##.####........#.#...#.#####.....##.##.##..##.#.#.######...#.####.#...##.##....#########.##.#.#.#.#.....#.#.......#.######.##.####...####.#.##.##.#.#.##...#########.#..####.#..########..##.......#.##.#....##.##......##..####.#.##.#.#.##.#..#######.#.#...##.......##########.#.##.#......#...##..#..##.#...##...#.##########.##........#...###....####.##......#.###.##..#.##.#..##.##.#.#.##.#########.##..##.....#.#.#.##.###.#########...###.#..#########.##.##.#.##.#...#.#.#.###.#....##########.#..#...##...#.#...#....##.##..##.##...####..###..##....####.###.#.#.#.###.###.#..####.##.##.####.#.#..####..#..##........#.#..##.....##....#.#.###.#....####.....##.##.#.......#....#..####.#...##..#.######...#.##.######.##..###.#.#..####.....##..........##.#.##.##....####.####..#...#.#.##.#######......##.###.##..##.######.#.##..##.##.#...##.#...##.##..##.#....##.#...##
##.##.###..#.##.##.#####.#.#..##..##...##.....#.#..........##.#.##..#.####.#####.###..##.#..##.###.##.#.#####.#..##.#####.#...#..#.#######.#.#.#..#.#.#....#.#..#.###########.....#..#########.###########.....##.........###.##...#.#..........#.####.##..##.##########.###.##.##..##.#.##.###..############.##.###..##.....#.#.#.#....##.#.....#.###..####.##.#..#.##.#.....#.####.#.#######.#.######.####.##.#....#.#.######.#.##.##.##.#.#####...#######...##..##.########.##.#..#.#.##.##...........##..##.####.#######...##.###########.##..#.##.#...##.#..#.#..###.#.###.....###.##..........#.####..##.######...#.##.....##..#..#..####...##.##.#.###.###...#.#.....###...####....#..##.#....#.##.#....##.##..#.##.#.#.#.####.##.##.#.##.#...#.##.#...##.##.##.......####.####.######...###..####.#......#.####...##...###.#.###.#.##....###..###.#.#.#.#######...##.###.....##..###.##.#..####......##.#.##.#....####...##....#....##...#.###..###.#..#.###.##.###.#######..#
#.........##.....###.....#.##.###.##.#.##.##.#####.#.##.##..#.#.#..#########.....#.#.######.....##########......##...##.....#...##..#.#.####...##.#.#.#.#.##.##.......##..##..#.####...##.##...##.#.##.....###..#########.#....###.#.##########.#.##....##....#....#.#.#.#....#.##.##..####..#..######........##..#####..#.#...#.#.####.#..##.##...#.##.#.####..##......#.###.#.#.#..#....##...#.#.####..##...######......##.######..##.##.#.#.#.###.#.#.#####....###.#......#######.###..#####.##.#.#.#.###.#...##..#.......###.................##......#.#..##.#######..#.#...##.##....##.####.#.#####...#####.#.####.#.######....######......#.##.#..#.#...#####...#.#.#.....#.#....#.###.##.#.##.#########.##.##.##.#..#.#.###.#..##.####..#.##.##.#..##.#############.####...##...#.#....#...##..##..####.#.#.###..######..##.#.....#..###.##...##...#.#.#..#.#.#..#.##..####.#####.##..##...##....###.##..####.#.#.###...#..####.#.#.####.##.###.##...#.##.#...##.#.......##..##
##############.#.##..##.####..#...##########.##....#######.#######..###.#.#..#.#.....##.#.#####.#.##.#.#.######....#..#########..##.#.#..##..#..#.##############.##.#.#..##..####....#.#.....#.#.......#.#.#...##..#.#.#....#.##...#.#......#.#.#.####.##..#.###.#.....######.#.#...#####.##.##.##...#.#.#.#.###.##.#...##.###......##..##.#######.#..#...#.###########.####........###.##########.#.#..####.##..#...####......#.###.##....#.#.#.#.#.#.#.......##.#.######.#..#........##..##...##.#######.#########.#.#.#.#..##.#.#.#.#.##.##.#.#######.#.########.#....##.###.#...##.#######.#####.#.###...##.........###......#.###.....#.#.##..###.####.#.......#.#######.###.#.#.####.#.#..#.#...##.......##.##..###.##.#.#.....#####.##.####..##.##.##..#.####.#.#...#....#..###.#...##.##.########.##...#####.##......#.###.##.#.###.##...##########.#.##.#.....##.##.##.....####.###..###.##.#.##....##....###.####..#.##.##...#.#.####..###...####.#.#####.##..###.###..##.##
####.######.#..#.#..##..##...####.#..........####.###......#.#.....##.......##.##.##.##.........................#####.##.#..####.##.#.##..#####.######.##...##.######.##..####.#####.######.#######.##########..##.#.#...#.##.##.#.########.........#.....####.######.###.#.......######..#.....##.#########.#...#....####.##..####..##.#...##...#.##.###.#.#..##.#......##..##.###.#.#...##.#####.....##.#...##.########.#.##....##....##.....#.#.#.#.######.##.....##....##...##.#.#.#..####.######.####.##.##.....###.#.##.##.###.#.#.#########.......###.#.#......##..########.##..#...................#..#.##.#.#.##...##.#.#.#.#####.#.#..##..####.##.##.######.##.#.#####..#.###.##...##.#.##.######.##.##.##.##....#.#######.#...........##..###..#..##..##....#######.#####...###.#####...##.....###.##........#.##.#.#...##.#...#.#..###.#........#.#..#.#.#.##..#.####.#..##..#...##....###..##.#..##.#.##.....##.###..##.#.###..##..######..#####..##....####.....##.##..#
#..#..........#####.###..###.#.##.###.######..######..##.#...#########.##.#########################.#.#.####.#.##.#.#.##.#.##..#....#.#..##.#...##..#...##.##............##.#..#.#.#.##########.#######......#.##......#.#..#.#..#####.#....#.###.#...#.####...####.......##.####..##..##.#####.##..#.#.#.######.######....###.#####.##.###.##.#......#.#.#.##..#.######....##..#.....#.#.##...#.####.###.##.###.##.......#####.#....######.##.................##.####..#.####.#####.#.#.##..###.......#...#.....##.##...#..#######..#####.........###.#.##......##.#.#..##......#####.#.#.########.##.###.##.#.######.##.#.##.#.###.......###.##..##.##.########...........##...##.#......#..########.#..###..##.##.#..#.########...##.#.#.###.####...#########.#..##...#######.....#####...##..######.#.#....#####.#.##..###.#.#.#..#.#.####.#.....#.#.#.##.##.#.###.##.##....####..##.##.##..#.##...##..#.#####.#..#.######...##..#...######.##.....##.....####.#....##.#.##...#.##
##.##.###.#.#...##....####.#.#....##...##....##......###.##.##..........####.##.#......#.#####.########.#....####.#.#......###...##.....##..###..##.##.##...############.##.##.#...###.#..##.#..........####......###.####.#########.....#.##.######.####..##.##.#..#####.#####...####.......##.##.##.#.#..##....##.####.###...#........#.#.#######.#.......#..##.#.##...##.###.#.#.##########.#......##..####...######.#.###.####.#.#.......###.##.#.####.##.###.##...##..##..##....###..##..########.#.#...#.########.##.##...#.#####..#####.#.#...###.####.##.##.####..######.###.#.######.......#...##.#..###.##...#..#.##.#.##..#.#.#..##..##.##......##.#.#####.#.###....#.##.###.#.###.##.##.##.##..##.##...####.#..###.#...#.##.#.#..##..##..###.#....##...##..###.#.######.##.....#####.##.....#.#.#.##.....#..######.#.####.###.##...#.#.#.#.###.#..#..#.#...#..##.#.###...#####..##.##..###.###.#...##..##.#......##.####.###....#.#####.##.######.#.#..##.###..#..###.#..#
#.....##..###.#.###.###......####.###.##..#.##..###.###..#...##.#.#######.....#.######............##.#####.#.#....#.##.#.#..#..########..##.#.##.##..#.##.###......##.##.........#..##.#.##....#.####.#.#....#.#.####..##.....###....#.#####..#......#.###.#.....####.#...#.#.###.#..#######.#.....##.#.##..####.#.......#...#.#####.##......##.#...###.###.##..#......#.#..#...#.####.#.#.###...#.##.###..#####.#.####.###....#...###.#.######...#####....#..##..####.##.####.###.#.##..####..##.#......#.#.#.##........######.#.#.#.#.##.########.##...#....#..##.#....###...........##.....###.#.##.##########....#.##.#.#..#.#######.##..##.########.###......#.#.#.#...#.########..#.#...#........###.....##.##....#.##.....#.###..#.##.##.######.#.####....#..##..............######....##.##.##.####.#.#..#.#.##...##...#...##..##.#..#####.#.#.##..#.###.####.###..#.#.##..#..########..##.#####.#.#########..#.#.#.#####....#...##...##....#..#........##.##...#.###...#.#.##
####.##..##...#.#...######.#....###....##.#..#####..##..###############.###.#...###....##.##.###.##.....#########......#.##...##...#.#..###....#.#..##.#..#.######.#..#####.#.#.###......###.#.###....##########.#....###.#####.#########.#..###.#.#.#.......#.#..##....#.........#.##.#.#.....#.#..#.#.##.##.##.###.############.....##.#.#......#.######...##.#####.#####.###.#.###......#.#####.#....##.......#......##..##...#.#...###......#.###...##.##.##.##....##.##...#.###.###...###.#....###.####.#..#####.######.#......#.#.#.......#....##.###.#.##..#.##.#.##..#.#.#.#.#.########...###...##......#.##.########.####.##.#..#..###.#........#.######.....#########.##.#...##.###.#####.##.....#.#.##.####.##.##.###.#.#...##.##.##.##.##....#.#..#.######.##.#.###.#.###......#.##..#..#..#....#.##.#.#.##.#####.##.#.#..##..##..##...###..##.#.##..#.....##.##.#.##.###..#.###...#####.......###.##....#########.#..##.###..#.######.#########.##.##.##.#.###...#####..#
#.....#.###.######.##.#.#..#.#######.#.##.####.##..##..##....#.#.##.....#...#.#...####.##.#..#...#####.##.........##.#.###..#..###.#...##.####.#.##.##.#.##.#.#.#..##..##.########..#.##..##########.###.####.#..##.#...#####....##.#.#...##...###.#.##.###.#####....######.#####..........##.##.##.....#...#.#....####...##..#.##########.##.#.#.###.##...#.....#.....##.###...###.######...#.#...###.####.####.###.#.########.##.##.######.##.###.##.###..###..###.#.#######.#.......##.##.....#.##...#....####.#.####.#.#.######.......#####...#.#####...#.###.#.####..##.#######.#.#..##.##.###...#.#######....###.........###.#....##.###..#.#.##.#..........######.............#.#..##..#.....##.##.##.#.#...##...#.######.####.##..##.#..##....##.....##.#.#.#..#..###...#.#...##.#.#####.##.#####.#.######.#..#..##.#..#.####.######.###.#.##..#####..##.##.#####..#.###..#.##.....###..##...#.#.#.#...#..##......##.....##..#...##..#.#...##...#.....####.#..#..##.#.....####
###.###.#....##....##.#...##.#.......#.#..#.......##########........#.#.###.####.##.#...########........#########.####.##..#####.....#..#.#.........##.#.##.....##.##.##..##.#.#.######..##...##.#.####.........#####.#.#...####........#....#.##..#.#..#######.######...#..#.....#.##.#.#.#..######.##.#.#...###.###.###..##.#.#..####.####..#.#.##.....#.#.#.#...##.###.#####.##...##....#.....#...###.####........#.##.......##.#..#.......###........##.######...###.......#####.#.##.###.##.#.##.#.########..#.##.#.#.#.##.....##.##########.#...####.##.#...#.#....##..##.#....#.##.......####.##.#.......#.##############.....##.##...##.#.#.###########.#.#......##.#.#.#.#.##############.##..#..##.#.##.####.####......##...###.##.##.##.##.####.#..###.....###..####.#.##.##..#.....####.#.....#.#......#.##.###...##.##....##......###..##.##....##..##.##....##...##.#....#.###...##..#.#.#.#.###.##.##.#.#.##..##.####.##.####...##.#####...##.###.#.##.##.#..#.#.#..#.#
##....#####.###.##.#....#.##.####.#.##.#####.####.#.###......##.###.#.#.....#....##.##.##.....###.#.###.#.#........##..#..##...####.###.#.####.####.##.#.######..#.##.#..###.#...###.###..###.##...##.#####.#.###..########.#.#########.#.#.####..##.####..#.#...#.....#...#####.##.##.#.#.#.##.##.#.#..#####.#....#..##..##....##.#....#.#########..###.#.###.#.#.##.#.#.......####....##.##.#.###.###...####.#.##.######.#.##..#.##.#.##.#.##...#.##.###..#....######..##.#.##.....#.##..#####.#.##.########.##............###.####..#..........#.###.#...#####.######..####....#.#######.#.#.#.....#####.#.#.#.##.#.#....###..#.#.##.#############.#.#.......#.##.#.#.####.#.#.####..##.##.......##.#.#####.####.#.....######..###..##..#.#..##.##.#....#.##...###.##..##....###...#.###.##....######.########.##.#..##..#.#######.######.######.#...###.######..####.####.#######.##...##.####.###.#.###......##.###.##.##..##...#..##...#######.#######.....####..#.##.#.#.##...#
#..##.#.......####.###.##.##.##...#.##.#...########...###.#######...############.#...########...#######.#...#.#.#.#######.####.#....#........#####..##.#..#.####.#.#....##.#.###.....#...###..####......#...######.#.#.####.............#.#..##..##...####...###...#######.#.....##.#..#.######.##.#.##..#.#..#.##.##.###.#####......##.............##...#..##.###.####.######.##....##.##.######.###.###.#.#######.##..####.###.###..######.#..#.####.##..####.##.##.##############.###..##.....########.......####.####.##.....#....###.#.##.#.##.#.....###.....##.....##....######.##.####.####.####.....#.###.##.#.####.#...##.#..###.####.#.##.......###.#.#.######.#....###.##.##.......####.###.#....##..###.##.#.###.....##...###.##.#.##..#..##.#.#.####.##...##.#..##.#...#.#.#.#..##.#..#.#####.#......##.##.##.##..##.##....##....##.##.#.#####.#.#####..##....##..#.##...#..###...##..#...#...###.#.##....#.#..###########.##.####..............#.#..#.##.###..###.###.##
#.#######.##.##....##...####.##.#.########.##.......#.....#.......###..............####.#.#.###..#.#......#.#.######.##.#..##....#.#####.###..##.#.###.##.#.#....#.####..#.#.#.#####.###...#.##.##.##.#...###...........#.#.######.#.#.####.####.###.##..###.#.###.##......####.###########.#......#####.#.##.####.#....#...######.#.####.#.#########..#.##.####.....##.#.#....#####..#.#...##.........##...#.#.#....##...####.#..###..##.#######.##...######...##.##.#.#.##..#.#......#########.#...##.#######......##....##.#.##.#.##...#.#..#..#####.#.####.#######.#.##.#.####.#..........##.####...#.#.#######...........#.#..#.##..........####.##.##...#.#..##.######.######.....##.##.#......#.#.#.####.#......#.#...##.#####.##..#..#####.#.###.#.#.#....##.####.#.#####.#.#.#.#...##..#.##.........#.#.##..##..#.###....##.#.######..#.#######....#....#..####.#######..#.#.#.##.###.######.###.##...#..##.######....##.....#.####....#.##.#.##.#.#####....#...##.#.....#..#
#..#.##....#..##.#.####.###..##.#.##..#.......###.#.##.##.###.##.#################..#.#.#.....##.....#.#.##.###.........####..#.####.########.#....#......#.####.#.#####.#.#.#.##........#...##.############..####.#.##.#.###.########.##.....####.#####...........############.##...##.#.....#.##..##.........#.#...##...#........###.######.#.##....##.#.....####.###.#.####..##...##.#.#.###.##.#.#....#.......##..###........##.#.##..#.#.########.#.##...#....##........##.###.#.####.......#.#............#.#.########..##########.##.##.#.##.....#....###...##..#..#####......#######.##.......#.###.##......#.##.####.###.########.###.###.#..#...##########.........#......######..#.####.#.#####.#.#..##.###.#.###.##..##....#.###...#.#####...#.#.###.##..#....####.##.#.#.#.##.####.#..#.####.##.#.#.##.##..####.##.#.##.#.##.....##....##.####.##.#...##............##.###.##...###.#.....##.#..#.#.##.....##..#.####.##....####.#.######.##.#.....#.#.##.#..#.#.#.#.#.##
##.#....#.##########.####...##..#..##.####.####...#################......#...##....##.#.#####.#..#.#.#.#..#######.###.#..#.######.#.............##...#.##.#.##...........#.#.#.############.##...##..#.###.##.#....###.....#..#..##.#..########.#..##..##.#.#.#.####.##.####....##.#......##.##..##.##########.....##########.#.#.##.....#.#.......#.##..##.####.#..#..........##..#..#######.######.#.##.##.##.#.##.##...#.##.#....#.###.......##.##..#..##.###.#....#.#.##........###....#.#.#.###.#.#.#.##.#.#.#.##.#.....####...#.#...######..##.##.#.#.##...#....######.####.####.......##.#.###.#.#########.#.###########....###.#####....##.####.######.#.##..#.#.##.#######.##.....##.#....#..##.....##..####..###.#.##.####.########.##....####.#.#.#....##.##.####.#....#.#.#..####.###.##.#....##.#.#.######....#.##.#..###.##.#.#....####...#...##.##.####.#.##.#.#.#####......#..##.####.##..##.#.#..##.#.####.#########.##...##.#.#..##..####.###.#.#.#..########.###..#
######.##..####.##........#..##.#.##..#.#########.##.###.##.###.#.######...#..####.##.#.#.......##.#.########...########............##.##.#.#.#..##.##.##.#.#..#####.###.......#.#.#.##.#...##.#..##..........##.#########.##.#.##..####.#.#.#....##..###########.##.........#.#########.##...##.#...##.#.#....##.##....##....#.#..#####...###.#####..#####.#......##.#.###.#.###.##.##........#########...######.##.######.##.##.###..#####.##.....##.##.#..#...#.#.##.#.####.#.#.####.#.##.#.###...#######..#.#.#.#..##.#.###...#.....###...#..######.#.######.##.#.##..........#####.#.#.#####..######.##.#....###...........#.##...#.######..........##.........##.#..####.......##.#.###.#.##.#.##..#.#####.#....##.....##.#........##...#..##......#.######.#######......#.##.#.#.###.#.....####.#.##..#.###.##.#.####.##.#.##...#######.#...####...#.#...###..###..###.#.....###.#.##.##.......##.##..#.#.##..#.#....##.####...##.#..#.#.##....##.....##.###.##....##.....##.##
#.......##.#.......#.###.###.########.#..#....##..##.#.#..........##.#.######.........#.#######..#.###..###.##.##....#.###.#.##.#.#..####.#.####.##..###......##.....####.#.##..........##.#####.######.#.###..####...###........##..#.......###.####..#.#.#.#.##....##.#.##.####.#.#.######.##..#.#........##.#...####....##.#.#.##.....#...#..###..#####..######..###.##..#.##..##.###.#.###..##.#..##########...###.......###...#####.....#..###.####....########.##.###.#..#.#.##...#..###########....#..##.######....###...#####.####..#...##..#...#...#..####.#..######.#.###.....#####.#...##.#.........#.##...####.#.#.##..###..........##.#.#.#.###.##.#.####.#.##....##.#.###.#.##..###..#.##.##....##.###.#####.#.##.####.#.###..############.#...##...#.......##.#.#..###.###.....#.#..##..#####.#.##........##.....#.##.#.#.##....#.###.#..############.....##...##.##.#...#.##..##.#.##.#..##.##.#..##.###.##.....##..#.#..##.###.####.####.#.##...##.##.##.#..###..#..#
######.##..###.##.##.#...##..#.#.####.##.####.######...######.#.#....#.#......#.#####.....#.#...#######...#.#...####.......#..###.#.##..######.#.#########.##..###.#.#....#.#..########......##..#.#.#############..#.....#####.####.#######.....##.##.#.#........####..#.##.##.......#.#....##########.#.#.##.##.##....#.##..#####..#.#.###...##...##.....##......########.#####.#....########.##.##.#.###..##..#..########.#...#..##############.......##.#.....##.##.#.....####.##.#.#####.##.##..####...######.#.##.#...###.###....#.#####.####.###.###...##....####......#.#...###.#.......#.#....#.####.##.#..###....#.########..#.#.##.############...#..####...#..####..#.#.#...#..##.##..##.##.##.####..#...##.####.#####...#...#.##............#.####.#.#.###.#.##.#.#.##...#...##.##.##.#..##...#.###..###.#.###.#.#.#..#.#.#..###.####...#.####........#.##.#####.##..#.##.##.##.#####.####.###..###.##...##.###.####..##.##..###...#......##.#.##.#..#.##..####...##.####
#......##.####.#..#..#.#####.#....##..........#.##.###.#..###.######.#.##################.#...#..##.....#.....#..####.#.##.#.##...#####........#..##.#.....#..##...#.##.#.####.#...#########.###...#.#.#.##..#.#.#######.##......##..##..#...#.#....##.#.#.#.##############..####.#.#.....#.##.##.#.#########..#..##.########...####.########.##..#.#..#.#..####.#.##.........##..##.#####...#.....##...#.##....###...##.############..#.......#...#####..#######....########.##....###.##..........#######..#.#........#.###...#...#.##..###..##........##.#######.#..####.#####.####..#########.#.##.#.##....#.#######.#.####.......##.#.######.#.#.#.###.######...#.####....##########.##..#..##..##.#.....##.##.###.#....#.#.#.#.#.#####..#.##.###.#.#..#.#######...#.#..#.#####.####.##..###..#.#####...##..##...#...#.#.####.######.#.#...##.#...##.####.#.#...##...##..#..##.##..#..#.##....#....#...##...#..#..#..##..##..##...##...#.#.####.###..###..#.##..##.##...#.##..###
#####.##..##...#.##.#####.#######....#.#.##.#........#.#.##.###..........##.#...............#.#.##..#.#.#.#.#.##......###############.######.#.####..####.##.##..##########..#####............####...#.#.###.....#..###..#..####....####.##.#####.#.##.#.######......#......##.########.#.###.................###.##.##.......###.#####.##.....#.####.####.##....###..#.####.####.##.#.....#...#.#....#......##..##.#.#.....##.##.#.##.#######...###.....####.#.##.#.#.........##.#..########.#####.##..######.####.#.###...#######.#.###.....##..#.#.##.##.#####.####.#.#..##.#####.####.........#.#########.##.#....#..###....#.###.#..###........#.#..####.#....#.#..####.#..#######...##.##.####..####.#.#########....#.##.....#.####.#..#######...#.##.#..#.#.####.####.#.##....##...##.#########.#.#.#####..##.##.#####..#.########.....###..#.#.#.......###.#..##.####.##..#.#..###.#..##.#.###.###.#####.####.##.####..#.###.#..##.##.###......##...#.##.#..##...##.##..##...#
#......##.###.#######.#.#..##.#.###.######..##.#.#.#.#...##.############....######.#.#.#.##.#.####.##.###.#.#..##.#.#.#...#.#.#.###.#.##..####.##.##.###..##.##.###.##.#.###.......##.##.####...####.....#.#####.#.##.#####.##...##.##...####.#.###.......##....##.#...#.#.##...###.....#.#...#.####.#.#.####.#.##########.##..##.#.##.....##.###########...##.#.########.....##...#.##.#.####.####.#.#.###.##..##..###.###..#.#.......#.#...#.#.#...#.#.##......#.#.#.#.###.#########.#.##.####.#.....##.####.#....#.#...###....#..###.##.########.#.##.#....##...#.#.#.##.#.........######.#.##.#.#..........#.##.#...#####.#.#.#...##.#...##.#.#.....##.#..####.#.#.##..######.#.#...#.#..#....##.##....###.........##.####.##.##......#####......#.#.##.##............##.############.##.##.####.......##.######.##.....##.#..##.#.#..#.#...##.###.##.##.#.#####.###....####.#####...###########....##....####.#...#.#....##...#.#.##..##.####.#.###..###.##.#.####.##...##.##.#.#
#.##.######...#.#.##......###.#.....##.....#######.#...#..#.#.#.##.#.#.##.#..##.#..#######..#.#.....###...####.##.###.###.............###.#.#...#.##.#.##.##.####............#######..##.#.###.##.######.#.##.......#.#.##########...###..##........#####....#.######.##.#####.##.###############.####.#.#....#.#...##.#....##.#.....###.#.#..#.#.#....#..#.######.....####.#####.#######.#....###..#.#.##...##..##.##....##.....#####...###...####.##.#.#..####...#.#.#.#.....##............#...#.#.#..#......####.#.##.#######...##......#...######.#..###.#####.#........###.####.##.###..#.#..#####.###.#.########.##...#.#######..####.##..###.###......##.##.#.#..##..#.........#.#.##.#.#.###.##.##..######.#.#.#..##...#..###.###...##..####.#.#.####..#.##.##.##.##.##..#........##.#.......##.##..#.#.#.#..##.#.###..##........##.##.##########.#..###.###.#.#.#.###...#.#.#.#..#.#.#......#.##..####.#....#.#####.###.#####.###..#.#....#..###...######...##..##.##..######
#.#..##.....#.#......##.#.......###.###.#.##..#.#####.###.#.#.#.##......#.##......###.#....####.#.#.#...#.#....#....###...#.##.#.#.##.#.#.#.###............###....###.#.##.###.......#####.....##..##.#....########.#.#..#.##.#.####...##....###.##.#.....##.####.#.#######..........###.#.###.#.......#####.##...#......#.##..###.#.....#.##.#...####...##.#.#....###......###....##..#########.##.#.###..###..#####..#.####.#.###.####.##..#...################.########.#.#.#..#.#.###.##...#...####.###.##......#######.#.#..#.#..###.##.#........#.##....##...##.###.#...#####.........##.##..##...###.#.##.......####.#..##.....##..########...#######.......#.#.####...#.##.#.#######.###...#..#.###..##.#..#.#.##.###.###..##..##.#####.#....#.###....##.#..#..##.######...###.#.##..##.##.#.######.#.#.#.##..#.########..#.####.##.#....##.......#.##.........###...#.#.....###.##.#...##.#.#.###...##...#.##..##.....#....####...#####.####...#.#..##....#..##.##.###.....##
#.##.########.##.#.###..#.##.####...#.###.###....##.###............##.#...###.#.#.#.....##..##..###.#.#.#.##.############.#.#..#####.........####.###.##.#...#######..##########.#.###..######..##.#....##...##.........##.##........#..####.##..#..##.#####.#.......##.#.######.###.............#.##.###.#######.#.#.##.##############.##.#..#.#......#.#....###.##...##.#...####.###.....###......#..##.##...##..#..####.##.#.#...........##.#.#.................##.#.####.#.#.##.#.#...###.##.#.#.........###.##..##...#.....##.##.##..#######.##.##..##.#.##.#....#######.###...#.####.######.####.##...#.######.#.#......#####.#####..#.#.##..#.#.......##.#.##.#.#.####.#.####.##......##..#.##.#.#...##....######...##.##..####..#..##.######.#.##..##.#..##.##..#.#......#.##..####.######.#..###.###.....#..######.#.#..####.....####.#..#####.#.####.##.##.#.#...###.##.##.###.##...#.#..#.#..#########.#..#.####.#.###.###....#.##.....#.##.####.####.#.####..##..##.#.#..#
######........#..########.##.##...#.#.....#.####..#.#####.#.#########.##.##...#.###.##.##..##..##...###.#.#####.##.##..#########..####.#.#.#..##..##...###.#######...##...##.....#.#...##.#.###......######.###########....############......###.#.#######.#####.###..........#..#...#.##.##.#####.##.#...........#########.####.###....##.##.####.#.#.####.#..#######.#..#.#..###..###.##.....#.#.###############...###......#.###.####.#.##..########.#.##.##.#####........###..###.###.#....#######.#######....##..###...#.#.##.#...##.#........#..##.#..#..####.#.#.##.####.###.#.##...##.....##....##.##...##.#####.#.##.##....##..##........##.#####.###..#..#.###.#....#....#..######.#..##.####.#.#..##.#.#...#..#.##..##..##..##.##..##.#####.##.##..##.##.##.##.##.#.#.#..##.#.....##....####....#..#.#...##..........##.##.#.#...####.##.....#.###..#...#.####.##...##.##...#####.##.##.####.#.##.##...#.##.#.#..###.#.##..#.##..###.#.#.......#.##...#...###..#.##..###.##
#......####.#.####........##..###.#.##.##.#..####.....###.#.###.......####..#.#.#...#...##.#..###.#.#...###.........##..#####.###......######....##..#.##..##......###..#....#.#.#.###..........#.##.##........#.#......##....##.####.#.#.##..####.#..#..........######.#.#.#...##.#.####.##.#.....#..##.#.#.##.#.#..................#.#####..##...#.#.#....##.#.......#.##.##...##...##########.#...###.#...##.###.##...#.#.####...#....#..##.##.......#..######.....#.#.####...##...#...#.#.##..#.#..##......#.######...#.#.#.##.#.#.#..#.###.#.##.##################.##...#......#.##.#.#..##.###.#.##..#..###........#.#..#########..##.#####.#..##....#...##.######.####.#.#.##.##......##.##....###.##.########.######..##..##..##..###.##.#.#...##.###.####...#.##.##.###.##.#..###.#..##.####...##...######.####.##.#.#.#.....####.##....####.#.###...###.##..##..##.####.##.#...#.#.##.##.##.###.##.#..#.####...##.....#..##.#####.#...#.##.##.#.#..##.##.###...######...#..#
####.#.##...#####..#.####..##.#...#..####.##....#####.....###.##.#.##..########.##.#######.#.##.#.#.#.########.##.#..##.#.#.#.....#.##.#......#.######..##..######.#...####.##.###.######.#######.##.##.##.###.....#.#.######.#.........#####.#.#####...##.##.##.#......#.###.#.#..####...##.#####.##.####.###..#####.#.#.##########.###..###..#####.###.##..###.####.##.#...##.####.##..#.......##.##.....#.........###.#####.#######.#.##.##.###.####.#####.#...###.#.#...####.##.#.#.#.#.#..##.....####.#.#.#.#..#...#.#.#.#.#..#.#.#.####...###..##.##.#.#.#.#.#.....###...####.#..###.##.#..##..#..###########.###.#####.#...##.###.#..##....##..##.#.###.##..##....##...#.#.##..###.#.##..##.#####..##..##...##.###.#..##..###.######..........#..###.###.#..#.#..###..########.####.##.####....#.###.##.#.#...##..##.#####.#.#...######.#..###.##########..##.####..#.##....#.#.#.#...#...###...#.....####.##.##.###.#.#######..##...###.#######.###.##..#....###...##...###.##
#....#.#..#.##....##.#....##..#.#.#.##.....##.#.......#.#.#......#.##.##........#..#.......#.##...#.#.#........#..##..........#.#.#.#..#.#.##.#.##.....##..##......#.#.##...#..#...#......##......##.##.#..#...#.#.#.#.#........##.##.#.##....#.......#.##.##.#..#.#.#.##.#...#.#.##....#.#..#.....##...##.##..##.....#.#.#............##.....##.....##..#..##...##...#..##.##...##...##...#.#.#.##.#..#.#.#.##.#.#.##...##............#.##.#..#...#....##......#.#...#.#.#..##..#..#.#.#.#.#.##..#.#.#....#.#.#.##...#.#.#.#.#.#.##.#.#..##..#..##.##...............#.#.....#.#....#.##...##.#.####.#.##...........#...#.....#.#..........####.#.##.##..#.#....##.##.##....#.#.#.#..##...#..##.#......##.##.##..#..........####.#....##....#.#.##.#.#.##.........##.##...##.#........#....##.#....##.#.#...#......#..##.#..#.....#.#.#.....##.#.##...#..........##..#....##.#..#.##.#.#.#.#.##.##...#...#.#..........#.##..#...##....##..#.##..#.........#..##.##.#.#...#..#.#..##..#
####################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################E#