spanskiduh
/
is_assignments
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity
is_assignments/a1/code/mazes_harder.txt

1304 lines
1012 KiB
Plaintext
Raw Blame History

#S################################################
#.#...#.#...##.....#.#.####......##..##.##..#.#..#
#.###.#.###.######.#....##..####..##..#.#..##.#.##
#..............##..####.######...###.##.##.#.....#
##.##.##.####.####..#.#.#.##.###.##..##.#....#####
############...#.##..........#.#..##..#.###.##.#.#
#...#####....#......###.#.##.#.##.###.#.#.#..#.#.#
###.#.##..#.######.###..###.......#.#.#.#.##.....#
#.#.#.#..####.#....#...##########.....#.#.#..#.###
#.......##.#....######.#..........###.......####.#
######.##....#.###.....####.#########.##.##...#..#
###.....###.##.#...#.#.##...#.........##.#..#...##
#.##.#.##....#################.#.##.#..####.###..#
#....#..#######.##....#.###....###..#.##.....##.##
#.#.#####..........##...#.##.######.#.####.#.##.##
#.#..##.#.###.###.#####...#..##.....###....###...#
######....#...#...#...###...####.##...##.#..####.#
##.....#.##.#.#######.....#..##..#..#######..##..#
#..#.#.#.#..###.......###.##..#####.##......####.#
#.##.##################....##.##.....######..#.#.#
#.####.....##.#.######..#.#####..##.####....##...#
#.#....#.#.............####.#...##..##...##..##.##
#.######.##.#.#.#.#.####.#..###.##.#####.##.###..#
#.#......#..#.##########.#.##....#..##...#..##..##
####.#####.#####.#.#.......#..#.###.#..#.##..##.##
#....####..#.........#####...##.#.#.#.######.#...#
#.#.##....##.##.#.#.###.###.##....#.#.##.....###.#
##############..#####........###.##.#..##.#.####.#
##.#.#####..###.#..#####.#.#...#..#.##.#..#.#....#
#........##.....##.......#.#.#.######..#.#####.#.#
#.######....##########.###.#.#..#.##..####.#.###.#
####.######.#....#.....#...#.##.#..##.#..........#
###..#...#######.###.#.#.#.####...######.#.#.#.#.#
#.##.#.#.#.##.##.....#.#.#.#....###..#.#########.#
#.##.###.........#.###.#.#.##.#...##.............#
#.....#..##.###.####...#.#.#..#.###..#.##.#.#.#.##
#.#.#...##..##..##...#.#.####.#.####.###..###.#..#
######.####.###..##.##.#.##...#....#.######...#.##
###....#.####.#.##...#######.##.##.###.#....#.#..#
#.###.##........##.#.#.......#...#.#.....#.#####.#
#......###.####.##.#.##.#.#.###.##########.#.#.#.#
#####.###...###..#####..###.#....###...........#.#
#.......##.##...##.....###..#.#.##...###.##.##.#.#
#.##.#.##..##.#.##.###...#.##.#..###.#....#..#.#.#
###..#.###..#.#.##.#...#########.##..###.##.##.#.#
#...##...##.#.#.####.#.##.#.###...##.#...#...#.#.#
##.####.##..#.#.#....#.#........#..#.###.##.##.#.#
#..#.....##.###.##.#.#.##.###.#.#.##.##..##..#.#.#
#.##.#.#.#...##.##.#.#.#..##..#.#.##..##.##.##.#.#
################################################E#
#S##################################################################################################
#...#.#....##..##...##.#....#.#.#....##.##.##.....#..##.##....##.#.#.....##.#.##....##.#....##.....#
###.....######.####.##.####.#.#.##.#.##.#...##.#.##.##...##.####.#.##.####..#.#####..#.#.##....#####
#...###...#.#..#.#.....##.......####.##...#..###.#...##.##...##....#..#..#.##..#.#..##....#.##.#.###
#.###...#...#.##.#.#####..#####..##..#######.##..##.##..#..#######...##.##.##.##.#.##..#########...#
###########.#.#..#..##.####.#.##.###..#.##....##.##..##.#.##..##.##.##...#.##..#.#..##.#.#.##.##.#.#
##..##......#.#.##.##...##.....#.#.#.##.#####.##..##.##.#.#..##..##....###..##.....##....#.#..##.###
#..#####.##.#....#..###.######...#.#.##..##.#.##.###.##.....####.#..##.#.#.##..######.##.....##...##
##....#####.#.####.##.......####...#..##.#..#.##.##..####.######.##.####...###.#.###..#########.#..#
##.#.##.#..........#######.##....#.##.##...##..#..##...##.##.##..#....#..###.#.#.#.##.#.#.#.#...#.##
#..#..#.####.#.##.##.#..#..#######..#.####.###.##....###..##..##.##.###.##.#.#.#..............#.####
#####....###.#..#.##.##.##...##.###.#..##...##.#####.#.##..##..#.##.....##...#...#.#.###.#.#.##....#
###...##.#.#.##.###......#.###..#.#.#.##..###..#.##.....#.####.#.##.########.##.################.###
#...#.##.#.#.######.####...#.##........##.#.##....####.##..#.#.#.##.##...###.#..#.#.##..#.#.#.####.#
#######....#...##.###..###....#.####.#......####.##....##.##.#.#.#.....###...##.....#..##.#.#......#
##.#.#####.#.###...##.##.####.####.#######.##.#...####.##..#.#.#...###.#.#.###..###...###.#...######
#....#.###.#..####..#.#..#.#..##....##.....##.##.###.#.###.#.#...#######.....##.########..#.###.#..#
####.........##.###.#.##.#.##..####..#####.##.##..#.....##.#.#.#.....####.#.###....#.#.##....##...##
#....####.##..#.#.#.#.#....##.##.#..##......#.###.#####......###.#####.##.###...#.##......##....####
#.#.##....###...#.#.#.##.###..##.##..#####.##.#.#.##....####..#.....##.##...##.##....##.#.#######.##
#########.#...#.......#....##.#.....##.....#..#.#..#########.##.######.#..####..###########.#...#..#
#..##.#...##.###.#.##.#.####..#####.######.##...#.###.##........##.##..##.##.##..#.##.###...#.###.##
##.##.##.#####.######....#...##.##...#.#......#.#.##..#######.#..#.###..#.#...##...##...##.##.#....#
#........##...........##...#.##..#.###.######.#....##..##..#..####.#.##.....####.####.###...#...##.#
#.#.##.#####.##.#.#.#..##.######...##..#.#..######.##.####.##..##..#.####.####.#....#.#.##.##.######
#.########.###..#########.#.##.###..##...#.###.##...#.#.#...#.##..##.#.#...#.#.##.###.........##.###
#.##..#........###.#.###....##.#.##.####.#.##...###.#...###...#..###.#...###.#.#......###.#.####...#
#####...#.#.#####......####.#....##.#.#....###.##.#...###.#.#...##.#.##.###......#.##.#.###....#.###
###.#.#########.######..#.#.####.#..#.###.##.#....###.###.#####.##.#.#..#.##.##.##.##.....#.##...#.#
#...#####..#......##.##.#.#.##...##.#.##.......#.##........##....#...##...##..######..############.#
###.##..##.######.....#.#.#..###.#....######.############.######...####.###..###.#########......#..#
#....##.....#.#.#####.......##...####.#..#...##.#.#.#......#.##..#.##.....##...#...........####...##
###.##..###.......###.#####.####...##.##.###..#.#.#.######.#....######.#######...#.##.###.######.###
#...#############.#.####.##.#..#.###...#...#.##.#.#.#.#..#.###.##.#.##.#...###.##########.##...#...#
###..###..#.##.#..#..#.#....##.#.#.###.###........#.#.##.#..#...#.#.##...#.#.#....#..##.###..#######
####.#.##.#.##.##.##.#.####....#.#.#.#.#.###.##.###.#.#..##...###...##.#####.#.####.##...##.##.###.#
#.................#.........##.....#.#.#.#.#..#.###.#.##.#..####..####.##.#..#....#.##.####........#
####.########.#.#...##.#.#.#####.#...#.#.#.#.####...#.#..#.###.##.###.....##...##.#..#..##..#.#.####
#....##....#######.#########.....#.#.....#.#..#####...##...##.......##.####..###....##.###.######..#
##.#####.#.#.#.....##.....###.#########.##.#.##.#.###.###.##..#######.......#######....#.#.#.#.##.##
#####.####.#.##########.#..######.#.....##.#.##.#.#...#.#..##..###.##.#####.##....#.##.............#
####..#.#....#.#....#.####...#......###..#.#.##.#.###.#.#.##..##....#.....#....##########.#######.##
##.##.#.####.#.####....#####.###########...#.#..#.#.#.#.#.##.####.###.###########......##...###.####
#.........#....#.###.#..#.#..##.##.......#.#.##.#.#.#...#.#..#.#..............##..###.#######.#.##.#
#########.####...#.####.#.##.#..##########...##.#.....#.#...##.##.#####.#.#.#....##.######.......#.#
#.#.#.#.#.#..###...##.#....#.##.#..##.######....####.####.#.##.......###########.....#.##..#.#.#...#
#.......#.##.#.###.##.##.#......##.#......#####.##....##..###..#.#.#...#.#.#.#####.###.#..##########
##.#.##..........#.##.#########..#.###.##........###.###.###..####.#.#.....#.#.######....##.#...##.#
###########.##.#...##.#.#.#.#.##.....######.####..........#..##.########.#.........#..#####.#.####.#
#.#.#.#.##########.#.............###.##...####.##.#######...###.....#.#####.#.#.####.###.#.....#.#.#
#.#.......#####.##.#.#.#.#.#######.#.###.###.#.#####..#...#.....#.#......######.###..#.....##.##...#
#...#.##.##.##..#..###.##########............#.#.#.##.##.#####.######.####.######.#.##.###########.#
#.#.####.....##.##..####..........#.########.....#....#......###.#.####.....#.###...##.##########..#
######.###.#.......##.#######.###.#.#........#.#...##.##.###........##..#####.....#........##.##..##
##.##...##########.##..##.#...#...###.######.#.##.##.......#####.#####.##.#...######.#.###.##....###
#..####...##.#......##.#....####.####.#......#.#..###.##.#..######.#.#......#.....##.#####.##.####.#
##.#.####..#.######.#....######..##.#.#####.##.#.##...##.##....###.....##.#.#.#.#..#.....###...#.#.#
#.......##.#.##.#.#.#########.####..####....#########.##..#.####...###.#############.###..#..###...#
##.####......#........###.......##.###.##.#...##......##.##......#####...#.#.#.############.##...#.#
#..#..##.#.#...#####.##.######.##.........#.#########.##..#.###.##...#.#........#..###..#.#....#.###
#####.########.##...............#######.#.#.##.........#.##...#..##.######.####...##.##.#...#.##..##
###.#.#.#.#.#######.#.#.#.###.#.........#.#..########.####..####....#.#.###########.......#.#####..#
#...............###.#.#.########.##.#.###.#####...##.....##....##.#.......##....##..#.##.######.##.#
#.#.#.#.#######.#...#.###....#...##.#.#...##.#..#....##.##..##..#.#.########.######.#########.#..#.#
##########........#.#.#...##.###.#..###.#.##...####.##...##.##.##.#.............#.#..##.#.#.....####
##.#.#.##..#.##.#####.######.....#.##...#.##.#....#.#..###..#...#.##.#####.##.###...###.....########
#......##.##.##.#..#######...#.#.##############.######...####.###.##.....#.##.....#.#.#.#.#.....##.#
##.###....##.##.##.........#.#.####.####.#.##.####.#.#.###.#########.#####.##.##.##.....#.#.#.####.#
#####..#.###.#..###.######.#.####................................##......####.##..#.###.#.#.#......#
###.####.#.######.####.###.#.#....##.###.#.##.###.##.#.###.####.##..##.#..##..##.##.##..#.#.#.###.##
##..........##.............#.####.##.#...#.#....######.###....#..##.##.##.###.#######..##.##########
#..#.####.###..##.#.#.####.###....#..##.##.##.#..##......#.##.#.#####..####.....#..##.###.##.......#
##.#..##....##..#####.#.....####.##.##..#..##.#.###.#.#.##.##.#.....##...####.#...##..##.....#######
##.#.##..#.###.######.#.##.##.....#######.##..###.#####..######.#.#.##.#....#.##.##..####.##.......#
#..#.##.##...#.##.#.#####...###.####.#.#...##.##....####.###.#########.########...####..###..#####.#
##.#######.#####....##.#..#####.#........###...##.###............##........#.####....##.####.....#.#
#...##.....##.#..##....##.##....###.##.#.#...###...#####.##.############.#...#.########...########.#
##.###.##.##....####.#.....##.#####.##.#.###.#...#..#....##...###.#.########.#.#..##....###...######
#....###..##.#.##..#####.#..#####....###.##..##.###...#.##..#.............##.....###.#.####.###....#
##.######.##.####.##.....##.###.###.###...##.#..##..#.#..##.#.#.#.##.##.#..##.#.###..####.#...#.####
#...##.....#.#....######.##.#.#.....##..###..##..######.###.#.#.###...###.###.#...##..##....###.#..#
#.#####.##.######.#.#.##.##.#...#.#.##.#####.##.##......#.###.#..##.#...#.#...#.###..###.####.#.#.##
#.##.########............##.###.###.##.#.....##..###.##....##.#####.##.########.....##.#.##........#
#.#....#..#.######.###.#..#.#...##..##.#.#.#.#..##...##.####..###.###....#...##.##.###......##.###.#
#.####.#.##.#.#....#...#.##.#.#.#..##..#.######.#..#.#..#..##.......##.#...######..#...##.#..#...#.#
###.#...........#.###.##.##.###.##..##.###..#####.##.##...#####.#.###..###.....###...#.##.#.##.#.#.#
##....#.##.####.###...####..###.##.##....##..#########..#.....#.#..##.###..#.#...#.######.#..#####.#
#..##.#.##.###..##..#....####....#####.#####..#.#...#..##.#.#.####.##.##..####.#.#......####....####
#.##..###..#...#######.###.###.#.##.####..###.#.###...#####.#..#.###..###...##.#.##########..#.##.##
#..##...##.##.###.##....##.....#.##......##.........#.....####.....##..##.#..#.#..........##.#.....#
#.####.#########.....##.###.#.##.##.##.#....###.#####.###..##..##.####.##.##.#.##.#.#.##.##..#.#.#.#
####...#..##.#...###.####...#.##.##.#..###.##...#.......#.##..###....####.####..#.#.####..##.#.#####
##.###.#.##....###......###.#.#...######....######.#.#.##..##.##..##....#..##..##.#.##.##..#.#.##..#
#..#.###..######...#.#.##...#.##.###.#...#.##......#.#.##.###..#.###.#######..#####....#####.#....##
##...###.##.#.######.#.###.##..###.....###.#######.#.#..###...#####..###.######.....##.....####.#..#
####.................#.#....##.#######.#....##.....#.##..##.#.....##..........###.#..###.#####..##.#
#..##.#.#.#####.#.##.####.#..#.#.......##.#####.##.###..###.##.####..###.##.#..##.##...#..##.##..#.#
#.##..#.#######.#.##..#.#.#######.##.#.#..#.....#...###...###.....##...#..#.#######..####.....####.#
#....##.#.......#..#.##.......##..#..#.##.#.#.#.#.#..##.#.##..#.#..##.##.##.......##....##.##....#.#
##################################################################################################E#
#S####################################################################################################################################################
#.#.##.#.#....##.#.#.##.#..#.#..#.#.#.#.#.##.#.##.###.##..##.#..#.##...#.#.##.#.##.#..#.#.#.#.#.#..#.##......##.........##..#.##..#.#.#...##.##.#..#.#
#....#.#...##.........#.##.#.#.##.#.......##.#.#...#..##.##..##.#....#.#.............##.#.........##.###.###.##.####.##.#..##..##.......#....##...##.#
###.##.#.#####.######.#....#.#.##.#####.####.#.###...###.##.##..##.#######.############.###.#######...#...####.....#######..#.##..#.#.########..###..#
#...##.###..#######.#.####.#.#..#.##.##..#.#.#.#.##.##...##.###.##....#.##.....##.##.....##......####.#.###.#..#########.#.##....##.#....#..###...#.##
###.#...###...#.....#.##.....#.##.##..##.#.#.#.#....####..#..#..#..####....#.#.....#####.##.####..##..#.#.#.##.##....##....##.########.###.##.#.###..#
#...##.##.###...#.#...###.##....#..##.##.#.#.#.####..#.##.##.##.#.##.####.######.###.#....#.#..######.#.#...##..#.########.....##.##.#..........#.#.##
###.##..#.#####.###.#..######.###.###..#.#...#.#....##....#..#.....#..##.....#####.#.####.....####..#.....###..##...#.#.#..#.#.......#####.#.##......#
#.#.##.##.#..#########..###....##.#.#.##.#.#...###.####.#.##.####.##.##..#####.###.#.#.#..#.#..#.##...#####.##.##.###.#.##.###.#.#.#.....#######.#.###
#....#.#....##.##.##.##.#.#.##..#.#.#.##.#####...#..#.###.##.##....#..##.###.#.#.#.......#######..###..#.#..##.##...#.#.#...###############.#.########
####...#.##.##.##.#..##.....###...#.#.##..#.####.##.#.##......###.##.##....#.#...#####.#..##..###..###.#.#.###..##.##.....#.#.#.#...#.....#....##.##.#
#.####.###......#.#.##..#####...#......#.##.......#.#.#####.####........##...#.####.#####.##.##.#.##.#.........###..#.#######.....#.#.#####.##..#.##.#
#..#...##..####.#.#.#..##.....#.##.#####.########.#.#.#.##...#.##.############.##.#...##..#............###.###.....##.#.##.#..#.#####...#.#..#.##.##.#
##.#.#..######..#.#.##.###.##.###...#.##..##......#.#.#.#..###.#...###.######..##...#####...#######.####.#######.#.#..#......##....##.###.#.####...#.#
#..#.##.#.#..##...#.##.#...########....#.########.#.#...#.##...##.##.#..##..#.##..#..##.###..#....#.......##...#.####...##########..#.#.#.#.#.##.###.#
#.#####.#.##....###.######..###..###.###..##........###.#.####..#.##.#.###.##.#..######...#.##.#############.######.#.#######.#######.#.#.#.#.#......#
#..###.....##.#......###...##.##.#...##..#######.##..##.#..#.##....#.#.##..##...##.##.##.##.##.#.####.#.###...#.##...............##...#.#.#.#.#.####.#
##.#.####.######.#.###.#####...#.###..#.##.#.#.#####....##.#.####.##.#....#####.##..#.##.....#.#..#.#.#.....###.###.###############.###.#.#.#.#..#####
#....##....#.#.#.####...###..#...#.#.##.##.#.#.##..####.#..#.#.##.##.#.#.##.....##.##.#..#.###.#.##.#.#.######...##..####..#..#.#.#.#...#.#.....##...#
###.#####.##.#....#.##.##.######.#.#..#.#..#.#..##...##.##.....##.##.#.########.#..##.#.####.#...........###.##.##..##..#.##.##.#...#.###...#.#..#.###
#....#.#.......#.##....##.###....#.##...##.#.##..###.#..#####.##.........##.##..#.##..#.#.##.#.##.##.#.#........##.###.##.#...#.#.###.##..#.###.##..##
#.##...#.#.##.##.#####..#.#.####.#..###.##...##.##...##..###..##.#########...##......##.........##########.######..#.#.##...#............##..######..#
#####.##########..##.#.##.#.###..#.##....###.#..####.###.#.##.##...#..##...###..#.##....##.##.#####.#.#.########..##......####.###.#.#.#.###..##.##.##
#......##.#.##.#.###....#.#.#.##.#..##.####....##.##.#...#.##..##.##.####.##.#.######.###########.#.......#....##.#..#.##....###.#########.#####.##..#
###.##.............####...#.#.#..##.#...#.##.#....#..###....##.....#..##...#.#...#.##..#....###.#...#######.####....###########...#.###.#....##.....##
#######.##.#.####.##..###.#.#.##.##.###....######.##...###.####.####.####.##.#.###..####.####.#.#.######.....##..##.######.##.##.##..#....#####.###..#
#..#.#########....###.#.#.#......##..###.####..##.####......#.#.#.##.#.##.##....###..##...#.#...#......####.##..##...#.##...........##.#####.#....##.#
##.#.#.#.#..#..##.#.#.#.#.######..##..##..#.##....#.###.#.#...#....#.#.##.##.#.##.##.#..###.##.##.######.#...##..###....#.##.#.######....#.#.#.#######
#......#.##.#.##....#......##.###.#..##..##.#####.#..########.#.#.##.#.##.##.###..##...##.#.##........##.##.##..##.#.##...######.##...####.#.#.##.#.##
##.#.#....#.#######...##.#..#.#.#.##..##......##....##.#.#.#..###.##.#.##..#..##.##..####.#.##.#########..#..##.##.####.###.#.##.#..#..#.#.#.#..#....#
#######.#....#.##...#..####.#.#...##.########..###.##..#.#.##..##.##.#..##.#.##.....###.#...##......##.#.##.##......#.####.........###.........##.####
#.#.#.######.#.#..###.##......#.#..#.##.#.....##.#..##.#.#.#..##...#.#.##..#.####.###.#.##.##..######..#.##....####....#...##.#.##...######.#.##.....#
#............#.#############.#####.#.##.#####..#.#.##........#####.#....##....##......#.##.##.####..##....#.######..#.##.####.#########..#######.#####
#########.##....##...#.##....#.#.....##..##...##.#.##.######.#.#.#...#####.#####.######.#......#.#.##..##....###.####.......####...##.##..###........#
#.#.#.#.######.#####.#.#####.....###..#.###.####...####.##.......###..##.#...##.....#.#.#.####........########....#####.#####....###..###...###.######
#.....#.#......#.##..#.#.####.#.#####.#.#.#.##.###..##...####.#######.#..#.###..#####......###.#.#.#.###.##....##.....#..##.##.###.##...#.###.#..#...#
##.##.#.#.####....##.#.#.#..######.#........##..###..##.###...#.##.#....##.##..##.#.#.######.#########.#.##.##..###########.....##.####.#.....#.##.###
#####.#.####...##........#.###.#.....#.####.##.##.##.##.#.###...##.##.###..###..#.....#.#......###..##.#..#..#.#####.#.#....##.###..#.....#.#........#
###.....##...#.#######.#.#..#..#########.............##.#.####.##..##.#.##..##.##.##.##...######.##..#.#.##.##...........##..###.##...#.#.###.##.#.###
##..#.#..###.#.#.....###.##.#.##..###.#############.##....#.....#.##..#.#..###..#.#####.#.....##..##.........#.###.#.#.#####........#.#.#..##.##.#####
#..#####.###.#.###.####........##.#.....#.#.##.####..####.#####.#..##.#.##.##..##.#.#.#.#########....#.#.#.#.#.#.#####.....#.##.##.####.##.##.##.....#
######.......#####.#..##.#####.#..#####.............##.##..##...#.##....##..##.#...........#.#....#.##.#.#.#####..#.################.##.#######..#.#.#
###.#..#.#.#####...#.#####.....##.#..#############.##..###..###....#.##....###.#.########.##...#.##..###.#..#.#..##.#.###..##......#.####.######.#.#.#
#.....##.#.#...###.......##.##..#.#.##.#.....##.#..##.##.#.##...#.##.#######...#........####.#####..#######.#.##......#.#.##..####.....##..##.####.#.#
####.########.##...#.#.########...#.##.#####.##.##.##.##.#..#####.....###.####...###.#####.......#####....###..##.#####.#..#.##.#########.##...#######
######.##.#......#.###..##.#.####......#.##......#.##.##.##.....##.####....#.##.######.#.#.####.##.#.#.######.###...#.....##..#.#.#.#.#.#....#....#.##
#.........###.########.###...#.#######......####.#.##..#.#####.##....#####..........##.#.#.#######........#.#.....#...#.#....##.#...#.#.#.#########..#
########.##.####.....#.##..#...........###.##......###.#..###.....####.##..#.#.##.###..........#.#.########.#.###.##.####.##......#.........#.#.#.#.##
#............#.#####......#########.#.##....###.##..##...##.##.##.##.#..##.###..#.....#.###.####.....##...#.#...###....####..##.#########.###........#
#.#####.####....#.###.#.#..#####....######.#######.#####.#...####.##.##..#...########.########.#.###....###.#.#...####....##..#........##.....####.###
###.....#..####.#.....#.#.##...#######.######.#.....#.#..#.#####..##..##...########.####...#.#.....######.#.#.#####.########.#########..#.#.#...##...#
####.#####.#......##.#########.........#......#####.#.##.#..##.#.###.##..###....#.#..#.#.###.#.#####....#.#................###......#######.##.##..###
#....#.......#.##..###.#.##.####.#.###...####...###.#.##.##.##....#...##...###.##...##.#........##.####.....#####.#.#########..######.#...#.##.#######
###########.########..........######.######.###..........##..####.#.###..#..#...#.#......#.#.##.....###.###.....#####.#.#.#.#.#####.#...#####.....##.#
#............##.##.####.#.###...#.#....##...#.##########.##.####........#####.###.##############.##...#..####.###..#........#..#..#...#..#..#######..#
#.#.###.#.#.##.......######...#...####....#...........##.##.##.#.##.#.#..##....##..##.###.#.#.#########.##.####.##...#.######.##.##.####...##.#.....##
###########.########....###.#.#.#....#.#.###.#.######....##....####.######..######..........#.#.##...##......#..#..#####.##............#.###..#.######
##.#...#.....##.######.##.########.#...#.##..#.#......##..####.##.#..#.#.#.##.#..#.#####.####.#..#.####.######.##.###.#...#.######.##.##..###.#...####
#..###.#######.......#....##.#.######.############.#.####..##.....#.##.#.#.##.#.##...#.###.##.#.##..#.#......#.#..#.....###.....########.##.....###.##
##.#.........#.#####.####.##....#.#.####...##.#.######.###.####.#..................#....##......##.##.#.####.....##.#####.#.#####.#..#.#####.##.#.#..#
#....##.##.#...#..........####.##.#..#.###.......###...#...#....##.#####.##.##.##.#####....#.##..#.#.......##.##....##.#......#.#...##..#.#...#.....##
##.#..#.#..#.#.####.#.#.#.........##...#########.#...#...#...#.##......#.#...###..#..##.#.##.###.....##.#############....####.....#.##.##.#.####.#.###
##.#.##.######.#....#######.#.#.#....#.#.#.........####.###.##.##.#.#.#####.#####...###.####...##.##..#....#.#.##.##..##....##.#.##....##.#.##########
#..######......###.####.....###.##.#.#.....#.#.###.#.....##.##..###.###.##......##.##.#.##.#.#.#...#.##.##...........###.#.##..#####.#........#.#.#.##
#.###.##..######.####.###.#.###########.#.##.#.#...#.###..#####..##......###.#.######.#....#.####.#####.##.########.##.#######.##.##.#.###.##........#
#.#......######...........###....##.....####.#########...##.....###.###.##...#...##.#.##########......#.#.........#..#.##....#.....#.#..##.#####.#.#.#
########.#....###.#.##.##.###.##....##.###...##.###.#..#.####.#...#...####.#.#.#...........##..##.##.####.##.##.####......#############..#..##...###.#
##.#.....##.#.....#.#...###...###.#.##.#...#.##.......####....#.###.####.###.#.##.#.#.##.#....##..##...##..#.##.#.##.#.######.#####.#.#.###..#.#...#.#
#....#.#.########.#.##.##...#..##.#.##########..###.###.###.#.####........##.#..###.#..####.#.##.##..#..##.#.##....###................#...##.###.#####
#.##.#####........#.####..#.#.##..#..##.####...###..#.......#.##...###.##.##.##...#.#.###.#####...#####..#.#..##.#...##.###.#.#.#.#.#.#.#..####......#
#######.###.##.#.##..###.##.##########.......###.##.##.##.###..#.#...#..#.#...#.#######.#.##.##.#...##..##.#.##..#.###....#############.#.###.#.#.####
#.....#.....####.#..##...####....#.#.##########......####.###.##.##.########.##...####........#########.##.#.###.#...#######.###......#####...#.#....#
#####...#.#.#.#..##.#..#.#.#####.#...##.#..##.#####.##....#...####....####.########.#..#.##.####.###..#.##.#..##.###..........#..##.###...#.######.###
####..#.#.###...##..##.#.#.......###..#.##.#....#...#####.#.#..####.###.#.......#.#...##..#..........##..#.##..#..##.####.#.###.#####.##.##....##....#
#....####.#...#..#########.##.##...##........##...#.#.#...#.#.##..........#.###.....#..#.##.#.#.#.#.##..##..#.##.###..#####......#.##.##....#.####.###
####.#.######.#######.#.##########.######.#######.#.#...#.###..#.#.####.#.#...#.#.#################.######.##..#...##....##.#.#.##.##.##.######.....##
##.#....##.####..........##.##.##...#.#...#...##..#.##.##.####.#.#..##..#.#.#####....#...#.#.#.#..#......####.######..#.##..#.#........#.###.####.#..#
#....##.#...#####.##.#.#..........#.....###.#....##.#####.#....####.#######....##.#.##.###.......##.#######.#....######..##.#.####.#.#...#....##..#.##
###########.#.##########.#.#.##.#.#.#.#.##..####.##.#.....#.##..##.......##.#####.#........#.#.#..#..#......####......#.##..#...####.#.#...##..#######
#...#..##.#......#.##.####.####.###.###.#####....######.#.#..##.###.####.##.....####.#.#.#.#####.#####.####################.#.#....#####.#######.#.#.#
###.##....####.#...#.......#....##..##..#.....##..##....#.####...##....#..#.#.###..#.#####..#.##..##.#.#.#.##..##.##.#...##.#.#.#####.######.#.#.....#
#....###.###.#####.#.##.##.######..####.##.#.####..##.#.#.##.##.##..#.###.#.#...##.....####....##..#.#......#.##.......#.##.#.#....#...###.#.#...###.#
#.##...#.##...##.....##.#####.##..##....#..###....##..###.#.....#..##...#.#.#.####.#.#...###.#..##.....#.##......##.##############...#.........#..##.#
######......#..##########.##.....####.#.##.###.###############.###.###.##.###....###.#.#..##.#.####.#.##.###.#########.##.##.#...##.##.#.#.##.###..#.#
##.##..#.#.###...............#.#..##..#..###.####..........#....##...######...##.##..#.##.##.#....########.....#.#.##...#..#...#.#...###.####...#.####
#..#..###############.######.######..#####....#...##.#####...##..##.###...#.#.##.##.##..#########......#####.#......#.###.##.######.####....###.#....#
##...##...#.#.##......#......###....###....##...###..#..#..#.#..##....#.#####.##.##.##.######.#.########.#.#.#####.##......#.##.##..##.#.##...#####.##
#..#.####........#########.#.#...#.##.###.##..#..###.##...##.##..##.#.....##...#.##.##..#.##....#######....#.....#....##.#.......#####.####.####..#..#
######.######.#.#####....###########.......##.#.##...##.#..####.##..#.#.#.##.#.#.##.###......##.........##.##.#.##.#.##..#.#.#.###.##.....####...#####
######........#.#...####..#.#.####...#.##.#####.##.#.#..##..##...##.#.###..###.#.#....#.#.#.####.#.####..#.##.######..#.##.#.####...#.######.#.###.###
#..#.##############.#.###.#.#......#.###..#.....#..#.##.#..####.##..#...##...#.#.##.#######.#.#..#....####.##......#.##.##.#......#.....#.#....###...#
##...##...##.#.#.##...........#.##.#...##.###.#.#.#######.##.....#.##.#####.####.##......##...##.####....#.#####.###..###..#.#.##########.#.##...#.###
#..#....#...........#.####.#.####..#.###..##########.......###.###..#.###.####...#..#.#.#######....#######....##..###...##.###..........#.#.##.#.....#
#.##.##.####.####.#.#.####.#.##...####...##..........#.##.##...##..##........#.######.#.##.##.##.#......###.#.###...######..####.##.#.#......#########
##########...#....#.###....###..#....###.####.##.#.#.####.###.####.##.###.#.#####.....#.......##.########.###...##.###.#.####..#..###.#.###.###.#....#
#...#.##.###.##.#.####..##.#...##.#.######....##.###.#.....##.##....#..##.#...##..#.#.#.#.#.#.##......#.#.####.##.............##.###..#...#...#.#.####
###.#.##.##...#####....##..##.##..###......#.##..######.#.###..###.#####..#.#.###.#.#.#.#.#####..#.##........#####.###.##.######...####.###.#........#
#...........#.#.....##..##.####..#########.#.#..##......#.#...##.......######..##.###.#.#.....##.#.##.##.###.....#.#####.......##.##....######.#.###.#
#####.#.#.#.#.#####.###.#..#....###.#.#....#.##..##.###.#.##.##..#.###.....##.###.#...#####.###..#.##..#...##.##.#.....##.###########.#....#.###..##.#
#####.#.#.#.####....#...##.##.#.##......##.#.##.##..#...#.#...##.#..###.#.##..#.#####....##...##.###..##.###..#####.#########.##.#..###.##.....#.##..#
#.....#.#.###..###.###.##..##.#.#..#.####..#..#####.#.#.#.##.##..##...#######...##....##..#.#.##.###.##....##.....#..............#.########.####..##.#
#####.########.....##...##########.######.##.##.....#.#.###...#.##..#.......##.###.##.#######.##...#..###.####.####.#####.#.##.#.......#.#.....####..#
#......##....##.##.###.##...##.#.#.##.....##.#..###.###..###.##..##.#.#.##.##....#.#......######.#.#.####.#.##....#...############.###...#.#.#..######
####.#####.#....#..#....#.#........###.#.##..##..##.##..##...##.##..#.#.##..##.#.#.##.##.##.##.#.#.#.##......##.###.#...........##...##.##.#.####.#.##
#.......##.##.####.##.#.#######.#.##...#.#########..##.####.##...##.#.#.##.#########...#.......#.########.#.##..###.#.#.##.###.##..###...#.#.........#
####.##.##.##.#....##.####.#.##.#####.##..##..###..###..#.#.##.#..#.#.#.#####.....###.####.#.#.####...##..#..##...#.#.#.##.#######...##.##.#.#.###.###
#.....#.##.#..######..##........##....###..##.....##...##...#..#.##.#.#.....##.##........###.####...###..###..##.####.#.##....##...#########.#..##...#
##.##.#.#..##.###....####.#.#.#..##.#.#...####.##.##.#..###.##.#..#.#.#.########..####.#####......#...##..##.##.....#.#####.#..###..#.##..##.#.####.##
#..#..#.##.####.##.#.##.#####.##.####.###..##..##..###.##...#..#.####.#...#..##..##........##.#.###.####.##..############...##...##......#######.##..#
####.##.####.##..###.#..#......#..###.#...####..#.####..##.##.##...##.#.#...##..##..##.###..#.#..##....#.###............##.#####.##.######.......##.##
#.##..#.#.......#######.#####.#####.#.#.#.#....#####.#.##..#...#.###..#.###.###..##.##.###.#####..##.#####...####.#.######....#####........##.#####.##
#....##########.#..###..#.#...##......#.#.#.#.##.......######.##..###.#..##...#####.##...#.....#####....##.#....###......##.###.#.#.#.##.#..#####.#..#
##.#..##..##.##.#.##.##.....#.#..####.#.#####.########...##....##..##.##.##.####....#..###########.##########.#...#########.......#.#.##.##.......##.#
##.##..##.............####.##.##.###..#.##.....##......###..##.########..##....#######.##.#...##.......##.##..#.#.........#.#.#.#.#.#.##.#..########.#
#...######.#.##.#####.#.#...######...#########..##.#.#.##..###.#..#.###.##..##.###..........#....###.#.##..##.###.#.##.##.###########.##.##....#.##..#
#.######.#.###..#.........#....##..#..##.#.#.#.##..######.##.#...##.#.#####..#.#.####.#.##.####.##########......#.##########.#.#.#.####..#..##....##.#
###.........##.####.#.###.###.##..##.##..#......##.#......##...#..........######......#.####.##.........####.####........##...........##.#.####.######
#...##.#.#.##..#....#.#...##...##..#.###.##.#.#######.#.#.##.#.#.#.###.######.#..##.#.#.......#.##.#.#.##.......##.#.#####..###.##.#######..##..##...#
###..#######..###.######.####.####.###......#....##...#.#.#..#####..##...##.....##..#.##.#.##.##############.#######.......######....#...######....###
#...##....###.##..#......##...#.....###.##.##.##.##.#.#.#.##..#.#..##..#..##.#.####.######..#...#.#.#.#..##......###.#.##.##....##.#...#####....#.####
##.######......##.####.#.##.#.##.####....#.#...#.#..#.#######...#.######.##..#.#.....#.#...####.#.......####.#.#...###.##....#.#####.#..##.###.##.##.#
##.#..###.#.#.#####....####.####.##...#.##.##.#######.....#.##.########...##.#.#.##.##...######.#.###.#..##..###.#...####.#.##.....####.....####...#.#
#..##.....#.#.##....##....#.#....##.#.#.##.#....#.##..##.##........##...#..#######..##.#...##......#####.###...#.#.#.###..########..##..##.##.####...#
##..##.#.##.#######.##.##.#.#######.###.##.###.##..#.##########.######.###...##....#####.####.##.###.#.#..##.#.#.#.#...##....#########.###......####.#
######.#.#..####.##.#..#..####......##..##.##...##....##...###....##...#.#####..##.##.......####.......##.##.#.#######.##.##......##.###.##.#.#....#.#
#.###..#.##.#.#.....#.###.##...#.#.##..##...##.####.#.##.#.....#.##..#.......##.#..#..##.##.#....#.#.####.##.#.......#.##..#.#.##......#.####.###.##.#
#.....#######.#.###.###.#..#.###.#..##.##.####...##.#.#..##.##.########.####..####.#.###..###.#.##.####.###..#.#########..##.####.#.##.....##.##..##.#
#.#.###.#.#.....##..##....##.##..#.##..####....#.##.#.#.##..#...#...##.....#.##....#.##..###..#..#.......###.#.....##.###..#..##..#..##.#.#######.##.#
###.#.....###.#.######.##.######.#..##.#.###.#.#.##.###..##.#.#...#####.#.####..#.######...##.##.#.##.##...#.#.#.#.....######..##.##.##.#.#..##...##.#
#...##.##.....#.#......##.....##.##.#.....##.#.#.#...###.#..###.#.....#.####...##....##..#.##.##.#.##.##.#.#.#.#.##.##.....###..###..#..#...###.###..#
#.###...#####.###.#.##.##.#.###..#..#.#.#..#######.#.#...##.##..##.####....###.#..#.##..#####.#..#.##.##.###.######..##.#.##.#######.##.###...#...##.#
#.#...#.#.....#...#.#..##.#...##.####.#.####.......###.#..###..##.....##.###...##.#####.....###.##.#..##...#....##..###.#.#........#..#.#...#.#.######
#.#.#####.#.#.#.#.####..#.#.#.####.#..#...###.#.##.##..##...##..##.####..#####.#..##....###..##..#.##..##.##.#.###.##.#.#...#.##.######.#.#.###.....##
######.#..###.###.##...########......###.##...#..#####..#.###..##.....##....##.#.##..#.##...###.######.#####.###...##.####.##..####.###.###...###.#..#
#........######...##.#...##..#####.#..##..#.#.##.....##.#..###.#..#.#..#.##.##.#..####..##.###....#.#..#...#.##..#....###..###......#.#.##..#######.##
#######.##......#.#..##.####.......#.######.#.##.#.###..#.##...##.####.#.#############.###...##.#...##...#.#..#.##.##...##...#.######.#####......##..#
#.......##.#.##.#.#.#####....##.####.....##.#..#.######.###..#.#.....###....##.......#...#.###..#.###..###.#######..#.#..##.##....#.....#.#.##.#..#.##
#####.#..###.##.#.#.##.###########...#.#.##.#.######......##.####.####...#.##..###.#...#.#..##.##...##...#..###....##.#.###.#####...#.###...##.##.#.##
##########....#####.##...........###.#####..#..##....##.#..#..##.....###.#.###.#...##.##.#.###.##.####.#.##...####..#.#...#.....##.##..##.#.##..#.#..#
#..........#.###.#..#..##.##.#.#.....##.###.#.####.#.##.#.##.##..#.#...###...#.###.##..#.#...#.##....#.#..#.#...##.############..#######..#.###.#.#.##
##.#.#.##.##.##....###.#...###.##.##......#.#.#....#.##.#.##..##.#.#.#####.######...##.###.#.###..#.#####.#.#.####......##....##...#.######..##.#.#..#
#..#.###...#####.#.##..##.##...#...##.###.#.#####.##.##.#..#####.#.#####...##.#...#.#....#.#...#.##.#.#.###.#..#.##.###....#.###.#........##.##.#.#.##
##.#.#...#....####.##.###.#..#.##.##....#.#....##..######.##.....#.....###.##...###.#.##.###.#####.......##.##....#..##.######.####.#.###.##..###.####
#..#.###.##.#.#....##...#########.###.#####.##..##.##..#...#.#.#.#.######..##.#...#.#.##..##.##.#..#.#.#.##..#.#.###.##...........#.#..##..##..##....#
#.####...##.######.##.#..##...#...#.......#..#.##..###...###.#.#.#...#..##.##.##.##.#.#..##.....##.#.#.####.##.#..#######.###.########..##..#.####.#.#
#.#....####.##......#.#.#####.###.#.#.#.#.#.##.#..##.#.#..########.#...###.##.#...#.####..###.###..#.#.##.####.##.#.#.###.###........######.#..#.#####
####.#.#....###.##.##.#..##.......#.#.#.#.#..####.#....##..##.####.#.#...#..####.#####.##.##....##.#.#.......###........#...#.#.####..#.#.#.##.......#
###..#.####..##.#..####.########.##.###.#.#####.######.###.##..#...#.#.#.##.#..........##..##.######.##.####..##.#.###.##.#####....##.....#.###.#.#.##
#...##.#....##..##....#..##......#....#.#...##...........#..##...#.#.#.#..#.#.#.#.#.##..#.##...##....##...##.##..#...#.##.....#.##..#.##.##...#.#.#..#
####################################################################################################################################################E#
#S######################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################
#..##...#..#.#....##.#...#.#.#.##..####.##..##.#..#.##.#.....###.#.#.##.....#.#.#...#...#...#.#.#.#.#..#.#.#..##..#.##.#.##.......#.........#..##..##.##.....#.#..#.##..##...#.#...##.#.##..........#.##.....#.##.#.#.#.##.##.#..##.#.#.#.#..#.#.#.##.#.##...#.#...#.##..#.#...##......##..##.#.#.#.#....##.#.##.##.....#.#.#.#..#.#...#.#.##...............##............................##.#.........#.#.#.#......#.#...............##.##...##.#........#.#.#.#.#...#.##.#..##..##.......#.#...##..#.##..#.#....##.#...#.#.#..##.#.#.#...........#...#...#.#....##.##......#....#.##.##.#.#..##....##.#..#.#.#.##.##.#..#...#.##.#.#.#....#.#..##.....##.#....##...#..#.#.#.##.####.##.##.#.#.#...##...##..#........##.......#.##.#.#...##.#.##..##.#.##..#.#.##..##....##....#.##..##..#....##..........#.#.##....##.#.##...#.##.#.#.#.#.#.##...#.#.......##.##..#.##.###...##.##......#....##.#.#.#.#..##.#...#.#.#.#....#.#....#.#.#..........#.#..#.#.##.#.......##.......##...........#.#.#.##.#...#.#.###.#.#.##.#.....#..##...#
##..###...##.##.#..#.###.......###..##..#..##..##.#.#..###.#..#....#..###.###.#.###.###...###.#.....#.##.#.##.###...##......#####...#########.###.###..##.####.#.##..#.##..###.#.###..#.#..#######.##..#.###......#.#.#.##......##..#.#.#.#.##.#.#..#.#..###.#.#.###..##.....#....###.####....#.#.#.#.##..........#####.........##...###......#############....######.#####.#.#.#.#.#######....#.#.#####.#.#.#.######...##.#.######.#....#..###..#.########.#.#.#.#.###.#....###.##..#####.....#..##.#.##.##.#.#####...###.#.#.###.#.#.#.####.######.#...#...#.####.....#.##...##.............######..#.#.##.#....#.##.#.##.###..#.......##.....##..######.#.####..###.##.....##..##...#.##.#.#...######..#.##.########..#.#####.#......#.......##..#.#..##........##..####..####..##..##.###.###.####.#####...##.####.......###..#.#.#..........#.....#######...#.##.##..#..####..###.####.####..#.......##....###.......####.#.####.#...##.#######...##.#....##.########.######..#.#.##.####.#.#.##...#......#....#.##.#.#####.##..###
##.##.###.##.##.##.#.#.#######.#.##.###.##..##....#.##.######...##.##.#.#.#.#.#.##....###..##...#####....#.#....#.####.####....##.#....###.##..#...#..##....##......##..##..##...#.##.#.#.##.########.##.####.#.###.#....##.#.#..##.#.#......#.#.#.##.#.##.#...#..##.##..######.#...#..##..##...#.#.#..#.##########.#...###########.##...#.##..#.......#.#####......#...#.#########....#.#..#########.##.#........#.#.#########.########...##.##.#.#.###....#.#.#.#..##.#.####....##...############..#.#........##.##.##.#.#.#.#.....#....#.###.##...##.######.#....#######..##################.##...##.#.##.#.####...........##...#####.###.##.#..###.#.#.#.##.#.##.#.####.###..##..#.#..#.#.#.###.##...##.#...#....#..##....##.##.######.#.####..##.#.##..###.######..####......####..#.###.....#.####...##.###..####.######.#.##.#.#.#####.########...##..###.......#.##.##.#..##.....##..#.#.##.###.#..#.####...##########..........######.#..##.####.#.####...####..#..#.##..############.#...##.####.###...##...##.....#.#....####
#..##.#.#.##.####.................#.#.#.###..####.............#.#.............#.#..##..##.###.####..#.####.###.##.##.#.#############.#......#.##.###.###.#######.#.###.####....###................#.........###..##...#.##..#.#.##....#.######...........#...###.###....##.#.###########..#######.#...####......#.#.###..###.#.#.......#.#..##...##.####....###########......#.#..######.##.#.#.#.#.#.#....#.######.......#.#.....#######.##...#.........####.#.#.#.##.........#.###.###..###.##..##...#.##.###.....#........#...#.#...####.##..##.######.#......#.##.######...#.######.##.#.##..##.##..#.##.#...##.######.#####.###.#####.####...##.#....................#.#.##....####.##.#...##..####......###.####.####.#.##......############..#.#..##.#.####.##..##.#..#.#.##.##.##.#.#.#####...##.####..#..##.#...##.#.....#.#.#..#.######.##.#######...#.#######..#..#.#.###.#####..##.......#######....#.#....##......#.#########.###...##....#......####....##.#.##.#..##.#.#..#...#.#.###.....#...#.#..#######.####.#.####..#
##.##......#.#.#..#.#.#.#########........###...###.#.##.##.##.#.#.#.##.#.####.....####...........#.##.#.##.###.#................##.###.##.#.#..........#...#.....###.#.#.#..####...###.#.##########.###.##########..######.#########.##.#.#....##.###.##...#.........##..........#.#.##..##..#......#......######.#.#.##...#.....##.#.##.#.###.####.###..####.##.#.#####.#####.#.###.#.#.##...#.........########....#.#####.#.#####.#...####.###.###.#####...........#.############....#.##....##..###.#..#.####.##.#.#####.##.#######.......#.###......#...######.##.#.#.####........#.......##.....##.#.#....###..###.######..........##....##.##....####.##.#.##.#.#####.#.##.####.#..##.#.###..##..#.########........#######.######.#.#.##...#.##.#.##.....#.#..##.##.#.####.....#.##.#.#.#.#.#.###...#.#.##.###.#.####...#####.#.#.##.#.#.......##.#..##.##.#.#...#.##.##.#..#....####.#..##.####.#.##..##...##.#....#.#.#####..#.##....#.###..####.######.#..####.........###.#.#.##.###.#...#.#################.##.............##
#...#####.##.#.#.#########.....###.####.##...#..##.#.########.###.##############.###.#####.#####.........#.#.#.#.#.#.##.###.###.....##.##.#...##.##.####.###.######....#...#####.#######..##..#.##..#.#######.##.##.#.##.#.#..##.##...#.#.#.#########..##.##.##.#.#.#####.##.#####.#..#.####.#.####.#.######...##.#.#.##.###.###.##.######...#....###...####........#.######.....#.#.#.#.##.###.###########.##...####.#...............####.#.......###.#.####.####.#....#.#.##..#.#.####.##.#####.###....##...##..###.....#.##.##.#.########....#..######.#.....#####........#.#.######.#####.##.######.#.#.##...##.......#....#.##.#.#....#.######.####.##############.##.........##.#.###.#.##..####.#.#...#....####.#...#.#...............###.#....#.##.###...#.##..##.....##.#.###..#...#.#.#.....##.##.#..#.##..#......###...#..........#.########...##..#......###.........##.####.#....######.#.#.#..##..#######.#######.#.#.##..#.####.#.##.##.#.#.#......##....####.#####..#...#...##...###.####.###.#.#.#.......###.#.#.#.#..#
###..........#.########....#.#.#.###....#######.#..###.##.#...#...#.....#........##....###.#...#.#.##.##.........######...######.##########.#..#.##.###........##.#.####.###..........##.####...###.#.##.......#.#..#.##.#...##..##.#...............#.#####..##.#.#...###.##..#.##.#.##..##.....#.#####.##.#.####.#.#.##.......####......#.#.##.#.....###....###.##.....#....#.#......................###......#....###.##.#.###.##.#........##.#.####.#...##....#.##.#......##...............#.#.#.#.#########..####.#######............####.###.###.###.###.###.#.#.#############.##......###....#.#.......######.#####...#.################..##...#.#.#.#........###.##.##.##.###....#.#.#..#.#####.#.#.###.#####.#######.#.#######.####.###....#.##.#....#####..##.#..#.#..#####.##.#.###.....######......##..##.#.##########...###.#.#.##.#.#.##.#.#####.#.######...##########........#.###.#.#.......####..##.#####..#.##.#.#..#.##.#.##....#..........####....##....#..##.##.#.#...####.#................#.###.###...#.#.#.###.##
#...##.#####.#.##.#.#.########.#.######.#.#.##..#####.......#.#.#.#####...#.##.#.#####.......###.#..###..#######...###..#####..####...#.#############.#.#########............######.######....#..........#######.#.##.##...###..##..###############.#..#.###..###.###...#..##...##.#.##.#####.#....#............#.#......#.##.###.#####.#########.#.#.....#############...#.########.##.#.######.##.#...#.#######.#......#.#..#####.##.#############.#.#.###..#############.##..###.##.########.#.#.#...#.##..#.###....##..####.##########..####............#.#.#.#.#........##........#.##..##.#.##...###.#####..#.##.###.##.#.#.####.##.####.###.###.#.#.#.########...##.#####..#####.#...#.##.####..#...................#.#.#.....#..#.###...#######.#.######.#.###...#####..#.##......#.#.#######..##.###..##.##.#..####..##..###########.............##.....###.###..........##.#########.#.#.#.#######.###.....#####.#........##.#.......##...##########.##.#.######.##.........#.####.#.#####.#.#.########.#.....#.#.#.#.#..##..#
###.#..#................###.#..#.#.##........##.......#.#.#.#.#####.#######.##.###.....#.#.#...####...##....###..###.##..##.##.##.#.###.........#...#.#.#...##..###.##########.##.###...##.##.##.#.##.#.###.#.#..........###.#.####.....##.#.#.#########...######...#.#.##.####..........#.#..#.##...#.#.#.#.##.....#.####..#........####.#..#..#######.#..##.........##.##...#.##.####.#......##########.##....#.#############.#.#..#...........#.#.......##.#.######...#####.##########..###..#.#...#....##.###.##.#####..#.#.####.#####.###.#.########.#####.......#.#.####..#.#.####..#######..###..######.#.##.#....#.##.......#......#.#.##...##.......#.#..#.#.###...###..##..#..#.###..#..##..##.###.#########.#####.....#####.##..####...#.#.#........#.#.#.#.###.#.##......##.###.....###...##....#####....#.##..#.##..##.#.##.#.#..##.##.#########.##.#....##.####.#.####.#.#.##.#...........####.#.#.#.#..#.#..#.#########.#.#####..#####.....##.#..#.#....######.#.#.#.#######........########.#.#.#.#.####################
##..########.#.####.##.##.#.##.#.#.###.#.###....###.#.###.#.####............##.#...###.#.#.##.####..#.###.#...#.###...##................#########.###.....####.##.#.................##.###.#######.####.........#.##.#.#............#.#..................######.#.#.#.###.....##.#.#.#.#.....##.##.#####.#.###..#.#.#....#.####.#.##...##.#.##.#####.#####....####.##..#..#.#.........#.##.##.###.##.##......#.#####.....##.##....########.####.##.#.####.###.#..#.##..###.#....#.....#.#.##.##.#.#.#####.###..##.#...##.#.##.#..........#.#.#.........####.###.############.##.#########..##.##..####.##..#.#.#.#....######..##.####.###.##.#..#.###..###.#.#...##.......###.######.##.......##.###.##...#######.#######.##.#############..##..###.#...##.#.###.#...#.###...###.########.#.#####.#.###..#####..#.####..##.#..##.#...........#########.##.#.#..#...##..#.#..######.#...#..#.#.##.##.#.#........########.#.##.#....##.#.#....######.##.######...####.#.##.##.##########.##...#.#######.#.#.#.#.#.#...###...##.#....##.#.#
#..####...####...##.#........#.#.......###########..##########...###.#.####.######.#...#.#.##....####...#.##.##.....#.##.#.#.#.#.#.#############..####.####..#....#.###########.######.#.#...#..##....###.##.##.#.##.#.##.###.#.#.#.#.##.#.#.#.##.####.####...#.#####..##.#.#.######.#.#.##.#####.....##.#...######.#.####..############........#.#......#.##...#############.#.##.#.#######............###.#######..#####..##.##.###.#.#####.####....#####.#...##..#.##.#.##.###.#####.#....##.#.#.#######.##.#....#.#..#..#.#.######.###.#.#.#######..###.#.#.##.##.##.#.#..#..#.#....##....###..#.#....##.#.....##......########...######.#.##..##.##.#####.####.#########...#.#..##.#######....#.##.#...##........#.#.##....##...##.###..##.#.#...#..#####.....###...#.###.###.....#..#.....#.#.....###..##......#.##..#.##....###.#.##.#####..#.#.##.#.#.####..##...#.##..#.#...###.##.#..#..########.###..#.#.##.........####..#...####.#.#...#...##...#.#.######......#.#.####.....###...###...............#.....#....#.####....#
##.#....#..#######..###.##.#.....#.##.##...##.##.#.####.##.#.###.#...###....#.##...##.##.#..##.#...##.###.##.##.#.#.#.##.#.#####.#.............##.#.##.###..##.####...........#....#.....#.###.######...##############.##...#.###.#.###..#.#.####....#......###.....##..###.#.#.#.####.#.##.....##.#.###.#.#......###.#..##...##.#..##...#.#.####...######..#.###.#.###.##.##.###############.#.###.#.#..##....##...##.#.##....####............#.####....##.#.####.##.##.#.#...##.#.#.#...##.#........#..##.#..#.#######.#.##........#.##............##...#.#.#..#.#.........##.##.#.####..#.##.#.##...#####.#.#.#####.#.###.##.##..#.#.###.....#.###.##..#.##.#..#..##.###.##.##.##.##.......##.###.##.#####..########.#....##..###..#.#.#.##....#.#.##.....##.#####..###.......##.####.##.#####.#.######..#####.####....##.####.##.########.##..##...........######..#....##.#...#.#........###......###...##........##########.##.#.###.#..#.#.###.###..#.#......##..#.####.#..#.##.##########.#.##########.#.#############.#..##.###
######.##.##.#...####.####.##.#.##.#...##.##..#..####..........###.#..##.##.#.##.#.##..#.#.###.###..#.###.#..##.#####.####.#####.#.#.############....#.#.#.###......##.##.#.#.##.#...#.#...#.#...##########.#.....#..#####.##...#.#...##.#.#....#.##.##.#.#.#.#.######.##...###.#....###.#..##.#####...#.###.########...#######..#.###.#####......####.######...............####.##.#.#.##..#.#...#.###.######.##.####.#.###.###.####.##########.##.#.####.........##..#.#.##.##........#..#.###.#.##...###.##....#..##.......###.#######.####.############.#.#.##...###.###.##.##.#.##.#######...#..#...#.#...#.##.#######...#.##.####.#...###...#.#.##.##.#....##.###.....##.##.#.....#.#.###..#.#.....#....###.......#.#.######.##.#.#.#....####.#######.##...##.#.##.#.####.##..##.#.....#.#.....##..##.##.#...###.#####.#.#......##..##..##.###.####.#.##......#.###.#......###...#.##.#.#.########.#######.##.##............##.#.....#.##.#.##......##.########..####.##.#.##.##..#.#.##.#..........######.#.#...#.#.#.....###...#
#.#....#..##.###..##.......####.##.##.##...##.##.##.###.##.###.######..#.##.#....#####.#.#.##....#.##...#.##..#..#.##...##...#.#.###.........##.#.####.........#.#.########.#..#.##.##.#.#.....#..............#.#...##...#..##.####.#..###.##.#.#.##.##.#.#.......##.######.##....#####..#.##...#.##.###..##........###..#.#.##.##......#.###.#.#...........#.#####.#######..##.....#.#....#####.######.....#####.#...............##.............##.#.#.#..###########...........#.############..#..#####.#.##.####.##..##.####.#####.##.....#........###..........#...#..##.##....#.#..#.#.#.##.##.####.....###..#.....#.#.###.#.........#######.............##......##.#####..#.#.#########.##.#...#.###.####.#.#######.####.##..##.......#.####...#...#####.####...........#.###.##.#.##.##...#######..#..#.#.###.....##......##.#..##....###........#.#.##.##.######..#.##.###########..#.....#.#.......##.########.#.#.#.#####....#.###.##.#..##.#############.##.#.#..##...#...#.##.#.#....##########....###...###.#.#.#####.#.###
#...#####..#.#.#.######.####.#############.....#........#..##....##...##.#..##.#.#.....#.###..####.###.##..##.##....##.###.###.#...#.##.##.#...........#.#.#####.#..#.#.######.#..###..#.##.#.###.##.#####.#######.#####.#.#####..#.#.###...#.#.#.##.##.#.#.########...#.####..##..#..##.#..###....#..#####..#.#.#######...........#.##....########.#.#.#.#.#....##......###....###.....##.#.#.#......#.##.##.#.#.#.###.###########..#.##.#.#.#.###.#.#.#.###.#.###....####.#.#.##.##.....#.##..###...#.#.#.##....#..#.#####.............#.#.#.#.#.####...#######.##.####..#####.###.#.##.#.#..#.......#.#.#..#####.###......#....##.######.#.###########.#.#..#.#.#####...#.#.##.......##.##.##.#.#######....#.......##...##...##....#.#######....#...###.##..#.#..#.#.##.######.#.##.#..#.###.####.#...##.##.#.....######.#######.##..#.##...##.##.#.####.#####.##.#.##.#.##.........####.#.#.###...#######...##...############.#.#######.......###...............##.....###.###.###....#...#.###..##...##.#######.#...............###
#.###.#.##.......##.#.######..#..#####.#.#####.########.#.##..##....#.##.#.###.#.#.##.##.##..##.....########...##.######....#..#.###..#.##.#.#.#.###.#.#.#...######.......##.####.####.#.######.###......#####.#.####....#.....#.####...###.#.#############..........###.#.#..####...######..##.#.###..##.#########....#.#.##.#.#.##..#.#.##.#..#####.#.#.#.##.#..######...#.######.#.#..#.....#####.########.#......#########......##############..#.#.#.#.#.#.#.#.##...########..##.#####..##...##.##........##.#.##..#.#..##.###.#.#.####.#.######.###.......#..###.###..#.#..###........##...############...##....########.########..........####.#######.########.#.###.#..#.###.###..##.##.#...###...####.#######..###..####.######....#..#.###.####..#.##.#.##.#..#....##.....#.#.####.#......##.###.##...#.#..#.#.#.#.###.####.##.##.#.....###....#.#...........#.#..#.#.#.#.#...##.#.#.#.#.#########.###..###.#.#.####.#.#.......##.######.#.##.#####.#.#.###.#####.#..#......####.######..####.##..#.#.##....#######.#.#.#...#
####.....######.###.#.##...##.##.#.##................##.#.##.##..#.##.##.#.#...#.#.##.#..##.###.#.#.#.#.##...#..#......##.#...############.#.#.#...#.#.#.##.##.##.####.#.##.....###..#.#..##.#....##.######..#......##.####.####.#.#######..####.##..#.##...#.##.###.#.#.#.#.###.######...####..###.##......#.#.#.##.###.#..#.######.##.#......##..######.#.##.##......##.##...##.#######################.#.#.#.####...........######.#.##.#.#.#.##.#...........#.#.####.#.#.#.###.##.##.##.##..#.######.#####..#......##.#.###...##########.#..#.#.#.#...##########...#.####.##...#.##########.###.#.##...######..######.##....#..###..##.###.#...........##.##..##.#....##.##.#.#####.##..#.##...###.##.##.##......###...##....#.....##.####.####.#..#.##.........############.#####.#.#.##...####.##.#.#.##.########............#.#.....#.#.#.#...###########.########.#.##.#.#.########.#.#.......#...........##........#.....#.#######.......#....#####.#######.....#.#.#.##.####........##.#.###.#..##.#.#....##....#.######.#.###
##.#####.#......#........#....##.#.#..#.##.#########..##############..##.#####.#.#.#..#.##..#...###......###.#.##.##.####.#.###.##.......#####.#.###.###.##........#.######.#.###...#######....####...#.##..##.###.##..######.##.........##.......#.##..##.##..#.#.###.#.#.#.#.#........#....##......###.##............#.#.##......#######.#.#..#.##.#.######...#.#.#########.##..##.#.##.####.....##.#.#...#.#.#####.#.##.###...............#.#..#.#.###########....#####.#.#...####.##..#....####.#.##.....#.####.##......#.#.#....#...#.######.......#..........##.##..##..###.##.....##............##.##.#.#..##.##.#....####.##.##..###...#.##.#.#.#.#######.##...#.##..##.#.#..##.##.##....###..........#.######.#.####.####.#####....#..#.#..####.#..##.#######.##.#.###..#..#.......###...#####.....##..#.#.##..#.#.#.###.##.####.##.#.#####...##.....##........#.#.##.#.####.##..######.#.#.##.#############.#######.#####.#.#.##..#.#.#...##..##.....##.##.###.....#.....#.##.#.#.#..#.....#.#.###.....#.####.#.....#.####...#
#..........####...#.#.######.###.....##.######.....##.##.#.##.#......##..#.....######.#..##.#.#####.#.######.#..#..#....#.#......#.#.######....#..#####..##.##.###....#.#.#.#...##.###......#####.#####..##....#######...#..#....##.######..#.#####.##.#######.#....#............#.#.##.##.#..#.####.######.#.#.##########..##.#######.##..####..........#.###.##.#.........#####..............#.####.....###.......#.####.###.#.#.###.#######.##.#..........#.#..##....##.#.#.#..##..#..##.####.#.....##.#############.#.#.#.######...###.##..##.#########.########..#..###.##.#..#.#####..##.###.#####...#.#.#.##.......#.##.##..#.##.####.######.########..##...##.####..##....#.##..##.##.####.##.#########....#.#.#.#.#....##.......#.##.##...##..#.##.##....#.#..#......##.#.##.########..###.#.##.######.#.#....##.#####.......######.#..#.######..#.#.##.#.#.##.#.#..#.#.........#######.#.#.........###.#.##..###..#...#.#.#......############..#.######.##.#########.###....########...##.##.#.#.#.##.####..#.#.#.#......###.#
##.##.##.#.#....#.###.###.#......#.#.####.##.##.##.........##...#.#.####.#.#.#.##.#...#.##..#.#.....###....#.##.#.##########.###...#...##.##.#.##...#.##.##..#...###.##.#.#.##.##..#.####.###...#.###...###.####..#.#..#.#.##.#############.####..........#.##.#.##...#.##.#.#.#.#.#.#######.##...##......###.#..........####...........##....#.#.###.##....##.##.##.##.##.###.#..##.#.#.#.#######....#.#.##..#.#.######.#...#.###..##..###.........##.#.#####.#.#########.#.#.##.###.#.###.####.#.######.#.#.#.#..#.####.#....#.###.#.....##.##..........#.###.#..##.#.##.#.##...##.#.#.#.###...#####.#.###........#.#######.....##.....#.####.#.####.#.#.#.#####.#..#.###..####.#.##.##..........#............####.#.#.#...##.#..##.#.##..#....#####.#.#...#.#.##.#.##.####.#..#.#....##.#.##.#.#.................########.####.#.#......#.##..........################.#.##.#.#.#.#.#..#.#.#..#.#.##.####.......###...#.##.###.#.#.######.#...###.###.#...#.#.............#.#####.###.#.#.#.#..####........#....##...#.#.#.##.#######
#..#..#..#.##.###.#...#.....##.#.#####.......##.##.##.#.##....#.#.#...########.##...#.#..##.#######...#.#######.#......#.#.#.####.###.##...#.####.#...##.##.##.###..........#####.##..#.......###.#.#.###.....##.##.#.####..#.###........#####.##.####.####.####..##.##.##.#.###.#.#...##.##..##.##..#.##.#####.#.###.#####.###########..###.####..#############..##..######.#.##..##########..####.#########.###........##.##..##.######.#####.#.#.##.#####.#....#.#..#........###.#.#..#..........##.#....#.#.#.##.#..#.###.##...#.#.#####.....#.########.......##.....#.#.#..#......#.....###..#..........#####.##..#.#.#..#.#..#.###....#.#....#...........###.#.##..##.##....#..#.#..###.####...######.######.........#.####.###########.####...#.....#.######.#.....#.####.#.#.#####...##...#.#######.#####.#...........#######.#.#.#####.#.###.####.#.##...#.##.####.########.#.##.....##.###..#....##.####.....#.......#.......#..##.#.###....##...#.....#.##.######.......#.#.......#.##..#.#.#####.###.#..###.#.#.#..#.##....#
#####.##.########.##.####.#.#..#.#.....#.#.#....#..##.#####.#.#.#.##.##...#....##.#.#.#.##...##.....#.........###.######.#.#...##...#..#.######.###.####.#...#.#####.#.####.#.#.#.#..##.#####.......#...##.##.#...#.#...##.##.....##.#####.#.#.##....#........##.##...#..###..######.#.....#########.###....##..#...#...........###..#########.###...#.....##.###..##...#.##...##.###.##..#.#.##.#..#.##.#.#...###.##.##..#.###..#....###..#.##.###..#.......#.####.#.##.####.#..##...##.#.######.#......##...#.#..#...##..##....########..#.##.#####.#####.#.#.#....#.#.......#########.########...#.##.#.#.....#..##.......####.##..#######...####.###.#######.#.#.##.###.#####...##...####...##.#......######...#.#.##.##..###..#.#.#.##....#.#.###.########.....#.#####..##............####.###.......#.....#.##.#######.##.##.####.###.#.#####.............#.........#...#.#..#.#####.#.##....##.###.###...######.####.##...###.#...##..#.#.#.######.##.#.#.#.##..#############...#.#.#######.........#.#.####...############..#.##
#......####.#.....#################.########.#.##.#####.....#.#.#########.####.##.#.###.###.####.#.###.#.#.#####...........###.##.#.####.##.....###....####.##...##..#...####.#.#...###....####.#####.###..####.###.#.#.......##.######..#.#.#....#.####.##.#.##..###.#########.#.#..##.##..###..##....##.####.###.##.###.#.#####...##.#.........#.#...#.#......##..#.###..#.###.......##.#....#.#.##..#.#...###.########.#...#####.###.##.#......##.#########...#.....#.#..#.######.##.....##..#.##.#.###..#.....##.#########.#....#.#.#.##..#..##...#...###.###.##.#.##.##.#...##..#.#.#.#.#.###.##.##.####.#######..#.#####.#####.##.####..###.....#####...##.#.#..#......#.##.###..#....######.#.#.##..#.....#######..#####.#.##........####........###.#.#.#####.##.##.####.##.###.#####.#.##..###.###.#.#.####......####........#...........###.####.#.#####.#.#.########...##..#.#########.##...##...#.#..####.....####.#...###.#..##...#.......###########..##............###.####......##.##.##.#.#.....##.#.##.##..##.#..#####
########......#.###.#.#.##.####.#.###.#...#..#.##.....##.##.#.####........##....###.#...#.####...#.##..#.#.....#.##.#.##.#...#..#.#.........###...####...##.####..##.#.#..###.#...###.#.####..#.....#.#.##.#.##.#.#.#.#####.######.##.#.##.#.#.######.##.##.#####.#....##.........#.##...##.....####.#.#...#.#..##..#######...##..####...#.################.#.####.##..##.##...##.##.#....#.####...##.##.#.#.....##.##..#########.####.......##.########.##.##.###.#.#.....##..##.#...##.#####.############.#####.##...#.###.#.#.####.#......###.#..###.############.#.##..###.#####.#.#.........####..#..#.####.#######.....#..###........##.....#.###.#.##.##..#.#.##.####.#.#......#####......###.#..##...###....#.#####..##.#....###.#######.###.##.......#....##..#.##.##....#..####.##.......####...###.###..########.##.###.##.#.###.#.#.###......#.#.....#.#.#..........#.##.##.#..##.#.#####.#####.#.##....#.#.#....####.#######..#.#.#.#######.#...##.#######.#.#.###.#...###.#########...#..#.#.#.###.##.###...##......##.#.#
#.####.############.........#.#.#.#...###...##.##.#.###..#..#..#.##.#.###....#.##...#.#....##..#.###..####.#.###..###..#.#.#.#.#####.####.#.#.###....#####....##.#####.##.......####.........########...##................####......#.#..#.#...........#.#####.#######....############.#####.####.##.#####...#########...###.####......###.....##.#.#.#.#.###..##..#####..##.####.####.####....#.###..##...#####.....##.##.##.#....#.###.###..#..##.#..............####.##..####..#.#..#.#.#.#.#.........##....##....#.....#.#.#........#.#.#######.....#.#.###....#.#.#######...........###.##.###.#####...###......###.###...##...#########.#########.#.##.###...#.##.#.####.#.######..#######...###.#####...#.##.....##..###...#.#########.....######.#.#.##.####..##..#..###.#####.#.....#.##.###.###..#######...#.####.#....######..##.#.#.#.###.######.#.#######.#.#.##.###..###....###......##.....#######.#####.#.##..##..#.....##.#.#.#.#.##.##...####.....#.###########.#.......##....#####.####.#.#####...##.#....##.###....#
#......##.##.##.....#.#####.....#.###.....###..#..###...###.##....########.###.##.#.#.#.##.###.#...##..##..#...##...#.##.#.###...##.....#.#...####.#.########.##.....####.#####.##.#.#####.###.#.###..###..##.#.#.#.#.######...######.##.....#.#.#.#.#.#..###..#.#.####.#..######.##.#.##..#......##..#.####...#.####..###.####.#.########.#.#..............######.#.#.##.....#.#.#..#####..##.....#.###.####.######........#...####.##....##.##.##...###.########....#..##.##.#.##.##...........#######.##.#####.#.##.#.#...###.#.###.##.#...#.#...##.##.......######....##...###.#####...######....##.#####...######.#.#####....#....##.##......###...#.##.#.##.##.##....###..........##.#.#####..##.....###.###..#######.#.#.######.#......#.###.#..#.######...###..##.#.##.#.#.###...#####.##.......#.##.......#........#.##.....###.######.....#....###.#..#.########.#####..###..####.#.#######.#.#......##.....###########...#.#..###.###...#.....####...###.#..#........#.#.##.#####.####.#####..###...########.###.###...##.###
######.#.....####.###.#.....###.#.#.##.#.##...###..#######...##.###........#...####.###..#...#.#.###..####.#.#####.##..###...##.####.#.##.#.#....#.#.#......#..##.#####.......#.......#.####...#.#.##.#...###########....#.#.###.##.#..##.#################.##........#.##...........####.#########..##..#######.#....##...##.#.....###..#.####.##.#.########..#.###......#.#.....#.###....##..#.#....#....#....####.##.#.#...###.##..##.#########..####.........#.##########..#.##..#.#####.###.#.#.######.....###########.####.###...####.#.....#..#....#.#.#.....##.#######..##.....#.#........##.....#.#..#...##...###...##.####.#.##.##.######.###...##.#.##.......####.#.##########........####..#################.##.....#..#.#.##.##.####.#.#.#####.#...###.#.###.#.##.#.....#.#.....#.##.##.#.##....##.####.#.##.#....#.#.#...###.#.##.#.###.####.#.##....#.....###.#.##...#.##.##.....####..############.#.###.#...##...#.#.##..##.##..#...###.##.#.###.####...#####.##.###..........##.#.##..########.#####....#...#.###....#
#..#...#####.#.#...##########.....#.#..#..#.#..###..##.....#..###.#####.##.###...##.#...##.#.#.#...##...##.#...#.#..##...#.###....#########.#.#.##.###.####.#.##....##..#.##.####.#.#......##.##........#.##.#.#.#.#####.......#..#.##.#.....##.#.#.##..###.##.########..#.##.###.#####.#.#.##.#######..##.###.#.##.#####.##..#.###.....############......#.##...##..############.......##..####.#.####.##...##....######.##.###...##..#......#.###....###.#.#######.###...##.##....##.....#######........##.##..#.#.##.#.#.##.#...###...##.##.#################.####.....#.#..####.#.##############.#.###...##.#.#..#.....#.##.#########.....###.#.#.#.####....#.#####...##.#..........##.###########........##.#.##....##.#####.##.#.....#...##......##...#.#...#.#.##..#.##...#####.###.#.####..#########..#...####..#.#.#.##.#.###...#....#.#...####.#.#..#.##.#.######.....###...##.#..#.#....#####...#..##.###...#...####.#.#.#.###..#.##.##.#...#.......##..##..###.#.#########.#.###.#.........###.##..#.#...#.#.##.#.#..##.####
##.###.##.#..#...###.#.#..#######.....##.####.##.#.####.##.##.##..#.##...#.#...#.##.###..#.#.###.####.#.##.##.##...####.##...#.##...####.##.#.#.##..#..##########.###..##.##....#.#.#.######.....###.#.##...........######.#.#...##.##...#.#.........##.#.#..#........#.####...##..................####.#........##.###....##.....#.#.#...#..#.##.#####.#...##.#####.#####.#.###..#####..##...####.......#.####.##..#.#########..#####...######..##.######.#.....###..#..####.#..#.####.##.##..##..##.##########..........#....#####...#.##..#...............#.#...##.##.##...##.##.#.#.#.#.###.##.###.....#..#.###.####.#####....#.##....#.#...#.....#.##...####.#...##.##....#.##.#####............#.##.#.####.#..##.###..##.........##########.####..##.####.###.#..##...#..#.........###....##.##########.##.##.#######.#..#.#...#.###.############....##.#..###.#.##.#.#######.#......#######..##.#.###.##..##..#...#....#.#.#.#...##.......########.#.##..##..##...#......##..##.##########.######.#..#.##.#.#...######.##.....#.#
#..#.#.#..##...#.##....##.#.#.....#.#..#.#.##.##....#.#.#...#####......#######.#.##.##..####...#....#.#.##.##..#.#.##....#####.##.#..#....#.#.#..####.##...#.#.######.######.##.#.#.#......##.#####..#.##.##.#.##.#....########.###....#####.##.######......##.######.######.#########.#.#.#.#.#.###.#....####.#.#....##.###..##.####.#####.##........#.##.###.#.#.#...........##...#.#####.#..##..##########.#####.#.#..#....#.##.#.#.###....##.......#.#########.#.##.###.#.#.####.########.###.########.###.#.#####.#.###################.##########.#.####.#.#..#######.#.##....#.........#......####.##.######..###..#.#####....##.#########.#####..###.###....#######.######........########.###..#.#........###...##..#.###.######...#.##...######...##......#.###.###.##.#####.#...#.#######.#.##...####.....###.##########.####.#.##.##.#.##.#.###########..........##...###.##.###.#.#######...##...#.######.#.##.#.#.#.#.#.#..#.#.######.###.###########.#..###.########..#####.....#####.#.#.#.##......#.#...#.#########...#
##.....##....#######.###......#.#####.####.....###.##.#####.##..####.#..#.##.#.#.####..##....#.#.#.##.###...#.##.#..##.#....##.##.##...#########.........#...#.#.##.###.##.#..#######.#.#####.....##.#.##.#######.#.##....#.#.####..##.....###......##.#.#.###......#..#.#.####.##...#########.####..#.#####.######.####.....##...##...##.#....##########....#.#.#.#.#######.#..#.#....#..##########.###.##....##.###.#.##.####.#........##.###..#######.##.####......#..#.............#...#..#.#....##....#.#.###.#####.#.###.......##.#..#....###...#.#.#....#######.##.#########.#.#.##.##...#########.####.#....##.####.#.#####.###.#...###.......#.##...#...##.#.#.#.#......##.##.##........########.#.#.#######..#####.#...######.#.###.##.###..#.#.###..#.##............###.#.#########..#.#.......####.#######...........##.#..........#.#.#..#.#.#..#.#....##.##.##....########..#............#....#.#.##.##################.##.#.#.............#.##.#..##.#.####....#.#.##..##.##.####.##...........#.#.##.#.#......#.####.#.#
#..#.#....#.##...........##.#.#.###......##.#.##...##.##....###.#.####.##......###.###.####.##.#.######...#.#..###.#####.##..#..#.##.#.........#.###.#.###.#.........#...#.#####.#.#..#.......###.######........###..#.#.##.#..#...###.############..#####...#.#########.#.##.#.#..####.#.#.#####.##..........#.#.#.#.#..##.#############...##.......#..######.#.#.........###.####.#.##.###.#.##.#.........##.....##.........#.#.##.#.###......##.###...........######.##.###.#########.###.##...##..##.###.#.###.....###.#.#.#######....###.###...###.#...#.###.##.#.##..#..#.#####.#.##.####...##....#....#...#####..###.#.#..####.#.#.###...#######.####...######.......##########..##.##.##..##....#######.##..##.#.#.#...####..................##.....#.##..#.#.#.#.##.#........#.##.###.##.#.#####..##....##.#..#.#.##########.##.##.##.....#.##.#...##...#.##...#########.#.##.##...#.#######.####.##........##.##.#.#.#.#.#####.#.##.#.#.########..#.#.###.#....#.####.#.##.###.....#......########.####..#.#.#.####......###.#
#.#####.#.#.#..##.##.###..###.#...##.#.###..#.####.#.....#.##.......#...##.##.##........##...###.##...#####.####...##.....#.#######..#.#####.#########..##.##.#.##.#...###.........##.####.#.######.#..#.########...####......##.###.#.....#...#####..#.#..#.......#.#.#.#..#...#.###.........##..##.###.######.#.#.#.#.#########.##.###..#..#.##.##.#.######......#.#.#.#..##..###.#...............##.##.########..#.#########.#.######.##.#####....#.###.##.####.#.#.......#####..###.........#..####..........#.#######.#.......##..####.#.....#.######.##.#.#......##.##.##.#.#######....##.#..###.###.#...#...#.#.##.#.....##.#.......##.#..##.#.#..##..###.#.####.#.#......#.#.####..######....##..#.#.##....###...#...###..##.####.##.#.########.#####..#.####.#.#.##.######.#....#.....#....########..#####.#.####....#.##.#..##############......####.##########..#####........##.##......#####...##.#.#######..#.......#.....#.#.##.###.....#.##.##...##....####...#...........###...####.....######.#######.#....#.##.#...###
#.#.#.#.#.#.##.##.#...######..#.######...##.#.#....##.#.########.##...#.##.##..##.##.#.##..#.##.....#####.....####..###.#.#...##.##.##.....###.###.####.##.##.#.####.#.....#.#.##.##....##.#..........##........#.#....####.#........#######.###..#####.#.####.#.###.#.#.#.##.###.#.#.#.#######..##...##.#.####...........#####..........##.##..######........#.##.###.#.#.######.#.##.#.##.#.##.#######.........#.##.###...##.......##...#.##..##.###...####..........###.#.......##.##.#########..#.##.###.###....#..#.#.#.###.#..##....#.#.##.##.....##..#...#.#######.....#...#.##.##.#.######...#.#.###.###.###...##...###......#.#.#..####.##...#.####.#...#...##.###.######...#######.##.##########...##.#####..###.#####.##.....#..#.#...###..#.##.##.#####...#.#.##..##.#########.#####.####......#.##.##.......#.##....#.#.##.##.#.###..##.######.#...#.#.#.#.##.#.....##.#.#..####.####.....##.##..#..##.#.#.##.#.#.#...##.##.#.#...##.#.###.....#.####.####..#.###.#########...#####.########............#.#.#.##.##.#.#...#
#.#.....########..##.##......##.#.#.###.##..#.#.##.#..#.#.........##.##..#.#..#####..#.#..##..##.####.#.###.###....######.###....##.###.##..#.........#.##..#.#...##.##.##.###.##..##.########.##.#######.#.#.#.#.##.#....#.#.###.#.####.#....##.##.#.#.#....#######.#...#....#.#.....#..#...##.###.######.#....#.##.#.####.##..#.#.#######..##.##.##..###.#######.#####.###......#..###.#######.......#.#.#.##.##........#.#..#######..###.##.###...#.####.##.###.#.#..####.##.#####......###..#####.##.#.#####.##...##.#.#.#.####....####.######..#############.#.#.##..#####.###.##.##.#......#.#.......#...#.....#.#..#####.#.#.#######..##.....###.#......#.#.###....######.##.##...###..#.##.#.#.#.##.##...##.##.#.....#......#.#.##.#.#.#.....##.#.........###.#######........#.#..........###.######.......###########.#...#.........#.#.##...........#...#..........##############.#########.#######.##......#....#########...###.#.#..###.....#.#.#.#.#.....##.#............##.#.........######.##.#.##.#.######..#.##.#.#.###
#.#.##.##........#####..#.##..###........##.###.#..##.########.##.##.#..#####.#.#...##.#.##..###.###.....##...####.....##...##.#..#...#..##...###.##.#####.####.#.##.##..#...#..#.##.........####.......###.########.#.######..##.####.#.#.##....##.#.#.#.#######..#.#.###.####...######...#.........#.##....##.#..#.#..#.#....####.##.##.####......##.#######.#.#.....####..#######..##...#...##.#.###############.#.########.....#.##.........#..#........##...#.#.##....#.##.......#.##...##...#.#.......##.#########........#.##.#.........####...#.####.#.##.#.#.##.###.##......#.######.#######.#.#.###.####.######.....#.#.###...#.#.#####.###.#.#.####.#....#..##........##.#..#.#.##.#.#........##..##.##..##...#.#...#.#.##.########.#.#.#......#.#.######....##..##.##.##.....##.#.#.#.......##.#.#####......#..#.#.#.#...##.####........#.#.##.######...#.######....#.##.#.###.......##.######..#.##.#.##...#.###.#######.####.#.#.#######.####.......###.#....###.#.##.#######.#.#.##.........###..###......#.#######.#####
#.###...##.#.#.#.##.###.#####.###.###.#.###.#...#.##..##.......#...####..##.#...#.#.##.#.###.##......#.#.#..#.##...######.####.##.#.#.####..#..##..###.#.###.##.###...#.##.#.#.##..###.#########..#.#.#..##......##..#.###.##.###...........#.##......#.#.###..#..##.#.###.#....###.###..#.#.##.####....#.#.###.#.#####.....#.##..####.#..##.#########.#..#......#######..#.##.....##.####...########.#.#....#.#.#########.###.#####....####.##...####.###.####.#########.##..##.#.#.##.#..#....###...#####..#.##.##.#.#.####.###..#.####.#.####.##.#....#...#.##...#.#....#.##.######.#.#.##.##.##.#######.#...######..#.###########.#...###.....###.......#####.#...#####.#.#.##....####.##.#...##.######.##..#..##..#############...##.#.####.#.##.#.#####......#.##..#.##..#######.######.#.##.#.#.###.#.######.#.#...##.#.#.##.###....##.##.#.##.###.....####.##.....##.##............#.#.#.....#.##..##.##.#.##.#.#..#...#....#....###.#.....###.#.#####.#####....##...#.#.##....############.###.##...########.#.######...#.###.#
######.##..###.#.#......##.##.#...##..#...#####.#.###.#..##.#.###.###...##....#.###.####..##..#.#.#.##.#.#.####..#..####.....#.##.###....####.####...#....##..######.##.##.######.##.........#.######.#.##..#.######.#......#...#.##.####.#.#..#.#.##.........##.##..#.#.....##.......###############.#...#...###.#.##..##.#####.###.#...###....##.#.#.#.##.#########.###.#....########..######.#####.#...####....#####..#..#...##...##....#..#.###.########.#####..##.######.####.#######.###.##.#.###.######.##.#.......##......##...#######.#.######.##.###.#..###...####..#.............#.......##......#.###....##...#...##.##.#.#########.###.#.#####.....#.##.##.##########.####.#..##.#.#######.##...##.#.###.###.#.###.#.####.........###..#.#...###.#.#.##..##...###....#.######.##.#.######...........##########..#.#######..#.##...#.##########.#....#..##.##..###..#.#.##########.#.#.#...#..##..##.#..#.#.##...###.##########..#.#.#...#......##.....##.#..#####.#.##.##...#.#.#.#.##...#.##.#####....#####...#..#####.#.#
#......###.#####.####.#.#.....###.#..##.#..##...#..##.#.#######...#.###..##.#.#..##.#....##..##.#.######.#....#.###....#.#.#.#..###...##..##...##..#...##..#.###..##..#.##......######.#.#.#.......####..#.##...#.##.#.##.###############.#.#.##.#.##.##.##.#.....##.....###.######.#.....#.##.#...##.###.#.#..##....##..#.....#.##....###...####..#.........#.#.#..........####.###.##.####......#.#.#.###.###.###.#.##.##...#....#..#.#.#####.###.#.#...##...#.##.#....#.####.##..#.###..######.#.......##.#......#.#.#####.########...#.##.....##.#####...#.#.##...#..#.##.#.######.##############..########...#####.###.###........#.##.##...##.......##.#######.#.....#.#.#.#.##.#.#.##.....##.##..####.#....#.#...#.#.#...#..#.#.##############.#.###.############.#...####...........#####.#.####.####.##............##.....#.####..###.#....##....#.##.################.###.........##.###.#.#...#######.###########............#.####.#.###.##.##.###.#####..#.########.##.##.#..........#.#.#.##...#.#.#####.####.#.##..#....#
#####.##...#.....#....#.###.#.#...#.##..#.#####.#.###.###.##.####.#.....#####.##..#####.####.####......###.#.##..###.#####.####...#####..###########.#####.......##..####..##.####.###.#.#.#.#####....########.##.####.##......#.##.#...#######..#..#.##.####.#.#....#.###.###.##.#########....#.###....###.##..##.#..#####.##....###.####.###..##...##.####.......#.##.#.#.............##.#.###.##.....#....##.#.....##....######.#.######.#####.#.#...####.###.##...####.#.#..##.##.#.##.#.##.#.#.#######....#.#.####.....####.##.##.###....#.#......#.#.###......#.####..........####.#.#.###......##.##.#####..#.#........####.##.##..#..##.##..##.##.##....##.###.##.##...#.#.#.........######.##.##.#....#.##...#.......#...##.####...........###...........#.##...##.######.#.######..#.##.#....##################.#..#.#.#......##.##..###.###.#.##..#........#.......#...##.###############.#.#.#.#.#.#.##.##.##.#####.#.#.#.###...##.#...#.##..#.#...###########...#####..##.#.##.####.##.#.###..#.......#.#..#.#.#..##...####
#......###.#####.##.#.#.##..#####.#####.####.#..#.#...#...........##.##.#.##...######....#.#..###.##.#...#.###..##....#.#####.#.#.....##...........#.....#.#.#.#..##.#.###.##........#.#.#.#.....##.#........###..#.####..#.#.##......####.##########.##....#.#.#.#.##.......#.#...#...#.##.##.....#.#.########..#.##..##.#..##.#####..#.#.#.##.##.####....##.#.##.######.#.#.#.#.####.##..#.#.###..###...####....#####..##....#####.....#.....#..#.#.###........#..#####......#####.....###................#.######.##########..##..###.#.##.######.###.......######..#.####.###.###.##.........#######.#....##..##.###.######..#..#.##.##.##...##..#..#####.###..###.#####.###.#.#.######.###.##..#.......#.#####.########.###.##...#...##.########...##.########.###.###......#.#......####.#....#####.......##.###..############.####...##...#.....####.##.###.##...####.####.#.....##.#......##.###.....#.####.....#.#.###########.###.#####.##..########.......#.#...###...##..###..#....####.#.####.#########.#.##...#.#####.####
#.#.##.#...#####.######..#####.##.###...#......######.##.######.#..###.....##.####..###.##...##....####.##...#.##..##.........#.##.####..#.##.#.##.#.##.##.########.....##..####.##.########.#.######.##.###.####......##.#.#....##.#...#...#......######.#######.#####.#.#.##.#.###.###.##..#.#.###.#....##..#.##.##.##..##.##.......##...#.##..#.##.############..##.##.##########.####.##....##.###..###.##.##.....##.#####.....###.#...#.###.##.#.#...########.####...######.##..#####...##.##.#.###############.....##.#.##.#..###..#.#####.######..#.###......####..#.#.#####......#####.#.......#.#.######..#.#.#...#..##.#.#####..#.##.####.##.###.#####..##.#...##...##........######...##...#.##.##...#.#.##.#...###....#.###.######.##.#.##.##.............#.##..#.####.##.##.###.....##.##..##.######......###.#.##.#..####.###.###.###.##..#.###....#..##.#######.#####.##......###.##...##.#.#....##..#####.#.#.##.#.#.#..##......#####....##.#..###.#.....#..##.#########.###.#..#.#####.##...###.##.....##.##...##.....#
###.#..#.#.#.....#......#####.......##.####.#.##.#.#######.#....####...##.##.......##....###..##.#.##.#..#.#.###..##..#.####.##..#....##.#..#.######..#..#....#.###.#.#####....######.#.#..###......#..#######.#..#.####..#.##.#..#.#.#...#...##.###..##.....#.##...#.###.#............#.#..###########.#....#######.....#######.##.#....###.###...........#.#...##..#.##....#.#.#.#..#......#####.#.#####......##.####.....#############.#####.........#......##..#..###.........##..######..#..###########.#.#.#.#.#####.........##.#.##...#.#.#..#...#######.#####..##...........##.#.....###.#.###.#.....##.##.......###.##..#.#.#.#.##..#.##.#.####.#.#.#.##......####.###..#.######..#...#....#.#.#..##.#..........#..#######.....#.#.#..##.#.######.####.##.#######.##....#.##.##.....#.########.##........##.####..#..#.#.###.....#...#..##..##.....#########.......##.#.#.#######.#...####.#.#..####.####.###.........#.#...#.##..#.#####.###.#....##.#######.####..........#.#..##.##....#.#...#####...#..#####...#.###..#####
#...#.####.#####.##.##.###....#.#.#.##..##..#.##.#.#.#####...#.##....###...##.#.##..#.#.##...##..#....##.###..###.#..##...####..###.####.#.##..#.###.##.###.#.....###...##..##........#...############.....##....##..###.#######.##.#.#.#.#.#..#.....####.#.##....###.##..#.######.#####.#.###..#....##.#.####.#.####.##....##.#..#.#.##..##.....#.######.##.#.#####....#.##.#.#.#.#.##.########.#.#.#.#.#.##.#.#####.##.####.##.....######.#...##.#.####.########.#.###..#.##.######....##..###....#............#...##.##.#####.#.......##.##.#.#.##.####....####..##.#..#.##.###.###.#########.#...###.######....#######....#.##.#.#.#.#..##.......##...........########...##.##........##.#.#.#.######.##..#.##.####.###..##.#.#.#####.....##........##..#########.##.#..##.#.####..##.#.##...#.##.#.#..##.#.#######.##.#.##...##..#.####.###..#.####.##.........##.#.#.##...........####.#####..####....#..##..#.##.######...#.###.#..##........######.###....#.#####.###.########.####...##.#.....#.......#...###..##.##..###.....#
#.#.#.#....#.###.##.##.#...#.##.#.#..#.##..##.#.......##...#.#.###.#.####.##..#####.###.#..#.#..##.########..##...##.#..#....####.####.###..##.....#.##.#.###.#####...#####..#.##.#.#...#............#.#.####.######...#.##.......#.#####.############..#.#..##.#......##.#...####...........##.#.##########.#.#...#####.##..#.##########....#.#.#...#.####....#...##.########.#.#..........................#.#...##.............#####.#.##.#.################..##.......########..##.#####.##.##.#...#.####.#.###.#.....#.##.#####.#######....#.#.....#.##.#####..###.#.#####..#####........#.#.##.##..........##......##.####.##.#.......##..#.#.#....#######.#..........###...##.#######..#.###.....##..##.#.##....###.##..#.#.#.#.##..###.##.##########..............####..#..##..##..#..#.#....#.....########......##......####.#####.#.#.#.##..##..##.##.#.##.##.#.#....#######.#....#.#.#.#####.#.#########...##....#.#####.......#######.##....##....##.#.....#.....#......##...###.#..#.##.##############...##..#....##.#.#####
###.#.#.#.##.....#..##.#.###.##.#.##.############.#.#.#..#.#.###...#...##..#.###.....#####.####.##......#.######.#####.##.##.............##.###.#.##.##.....#.....###.....#.##..###.##.##.#.#.#.######.#.##.#.###.######..##.#.#.#####.##............##...#.#####.##.#..#.###....####.#.#.##.........#.#.#.......###.#.#####...###......##.###.###.###.#.#..##...#..#.##.#.###.....#####.#.#.#######.#.#.########....##.#.###.##.......#..#.#.###.#.##.........##..#####.#.##.#.##.#........##.##.#.#.#...####.....###.#......#.######.##.#.#.##.#.#####..#.#...##.#.#.#.#.#.##.#...#.#.#.#.##.####..###.######..########....#..##...#####..##.#####.####.#...###.####.#.#.....#..#.........######.#######.##.#..##.####...####.#........##.####.####.#...#.#.######.#.#..###.######.####.#.##.##.#...######....#..######..######..#...#.#.###.####.##..##...#.#..###..#.#.####.#.#.####.###......###..#...#.#.##..###..####..#.#..#.#.#.....#.#####.######.#####.#.#...#.#####.##..#.#...###.#########......##.########.#.####........#
#...###.###..#####.##..#...######..#.##..###.#.######...##.###...#.#.####.##...###.#...##....####..#.##.....##.####.#...#.##.##.##.#.#.#.#....###..####.#.#######..##.#.###.##########.##.#####.###..###.##...........######.#.#..##.#.##.#.#.#.#.##..##.#####.....###.######.#.#######.###..#.#######.#...#####.........#.#.#.....#######...#.#.....#.....###.########......###.####..#####.###########...#.#.###.#.##.#...#####.#.####.##.#...#.#....###########.....#....#.#..#.###.#######..#.#.###.#..##..#.#...###.#.##....#.#........###......#.#.##.#.####.#.#........###.#####.#.#..#..#.####.#.....###...##...##.###.##..###..##.###...##.........###############.#.##.###.####.#....#.#######.####.#.###......####.....##.###.....##.........#####..#..#########.######.###.##.#..########...##.#.####.##.##...#####.##...#............#####..##.####.#######.#..##........##...##.###.....######.#..##.####...##.##.#.##########.....#.#.#....#..##...#.#.######.######...#.####....##.#....#.####.....#####.#.##.##.#######
##.##...#...##.....##.##.#.#......##..##..............#.########.#.#..##..##.#...###.#..######.#..##..#.#.#.#.........######..#.##.########.#...##..#.#.#.##.#.######.####........##....#....##.....#######.###########....#.#.##......######.#.#######......#.#.#...#...##...#......##...####.....###...#....##.##.######.#####.#.......########.##...###...####.....##.#######..#.#.###.##.......##.####......##.#..#.#.####.######.##.#....#.....####.#.#.##....######.#.....##.##........#.##########.##..##.#.#..##.#..#.##.....#.#.#.###..######.........#.#.#.#.######..#..#..##.###.##.##..##..#.#.#...######.###..##.....##...#####.#.######.###.#...............#.####...#############..........#.#.#.##..###.##.#..#.####..##.#.#..#.####.####.######.##...#.###.##.#.......####.###..#.##.#............#.#..#..........#.#.##.####.#####.######....#.......####....#.####.##.###..#######....##....###......#.#...........#..#.#######.#...#########.####.##..........##.##..#.####......#.##..#...#####.##................#
#..#..#.###.#####.##...###.##.#.#..##.#######.#.####.##..##...####.#.###.##..#.#..##.####.##.#.##.##.######.#.#.#####...##.#.##.##...###..#.#.#..##...#.#........##.####.##.###.#..###.###.#..#.######..##........###.#.####.####.##.#..##..###.......##.#.###.#.#.#.#######.##.#.##..###..##..#####.#.####.####..#....#.#.##.####.#.#.#.....#########..#######...#.####.#.##..##.#.......##.#.#.#.......#.##.####.##.###......#.#.#..##.#.####.#.#....#.#.#.#..##.....##########.....##.#.#..........###..##..###.#####.#.####..##.########.#.##.#.##.#########.#.........###...##.###...###...##.#..##.###.#..#.#....##.##..#.####.#.#.##....#.#.####.###.#.#.#####.#.###....#.#.......#.##.##.########...#######..####..#.##....#####.#.##....#.####.....###...#.###.#.#.#....#.###...####.##...##.###.#####.##.....##.###############.####.........##.######.#.#.#.#....##.#....#.#..####.....####.#..#.##.#...#########.##########.##......##.##.##....#.#...##.....###.#.#.#########.###############...####.....##.##########.####
#########...#......#.#.##..##.####..###.###...#.##....##.####.#.#..#.#....##.#.#.##..##............#.....####.####....#....#.####..#...##.###.#.####.#####.###.###...#....#..####.##...#.###.##......#.##..#.######.#.....####..#.#..##....#####.#.#######..##.#.#.#.......#.##.##############....#.......#....#.##.##.#.........#.######.####.#...####.........#.###.#.....##......#.##.###.##########.##..#....#.##...#.######.#.#.##.....########.###.#.#...#########.#....#...#.#.#######.#.#.#.#...##########.....#.#..##..###....##.##............##...##....#########.#.###..#.#####...####.##.....#######.#.#####.##.####..#.###.##.##.....#.....##.#####.#.#########.##.######.##.........#....######.#.###...##.##..##.###...###..#.##....#.#.###.....#....##.#.#...####...###.........#..#..##.....######.#.##...........#.#.#....#.#.#.#####.......###.#.#.#.#.#####.#.####.##.######....###.##.##...#.....#.##...##...........##.#.....####.####.##.##..###...#######.##.##..............##.#.#..#.###.###...........###.##
#.........####.#.#.#.#..#.##..##...##.....#########.#.##.#........##.#.#.##..###..########.##.#.#.##.###..##..#....#.##.#.####.###.#.#......#.#....######...##.....#...##.##..###..#.#.....#..##.##.##.##.######.##...#####..##.#.##..####....########.###.##..#.#.#.#.#####.##..............##.###.###.#####.#######....#.#.########.##.........#...###.########.#.....#.#.##.#.#.##..#...####.#.....####.####.##.##.###...............#.#.......##.........#....####.#...####.###.#...#.#.#########.#..........#.##.########.##.######...#.##.##.#.##..##.##..#.###........#..#..##.##..###..##..##.#####.#.#.#.#...#.#.##..####....##.#...##.##...##.######.#.......#...##.#.......#....#########.##..###...#.#...###.....##..#####..#####..##.#.....#######.##.#......#.#...####.####.#.#.#.##.##.##..#.#.....##.#..#.#.#.#.###.....#.#.########...##.#.##...#.###.#.#.....#.#.#.#####...######.#######.###.######......#....######.#.#############..##....#####..########..#........############..#.#.##....##.#.#.######.#.####..#
#####.###.#....###.#.##.#####.#..#..###.#..###....###.######.##.#..#.#.#.#..##...##.#...##.##.###..##############.##.##.###.#....###.#.##.######.#.##.#...#####.#.###.###..##...#.####.########...#........##.......###.....##..#####.#####.#...#.#......#..##.#.#.#.#.#######..####.#.##.#.##........#...#####.#.###.#.####...#.##....#.###.#.###.#...#..#############.#.####.###..##.#.#..#.....###..#.###.########.####.#.#.#.#.###.##.#.#.#####..##.#.#####.###..#.#.######.#######.............###.##.#.#.#.####...#.##.###...###.###....###..#####..#.##.####...#.#.#######.###....##.#.###.##....###.#.#.....###.#.##.##.###.###....#..#########....##..#.#######.#..#.#.#.##.##.##...........###.....###.###.....##.######.#.#.##.#############.......#..#.#.#.##...###...##...##.#.#.####.######.####.#.##..#.########..##############.#.#..###..##############.#.###.###....##.#.###....#....##.###.#.#...###.#.#.#.##......#.###.##.######.##....##..#..##..##....##...#.#.#.##.##.#.##.###...###..##.............#.#..#...##
#.....##..#.##..##.#..#.##..#.#.##.##...##.....##......##....#..#.##.#.#.##..###.#....#.....#..###..##.....#.#.....###...##...######.#..#......###.##...#.....#.#.#.#.#.#######.#.##.......##...#.#.#.#.##....#####..#..##.####..##.#.....#####.....###.###..###.###.#.....####....#.########..##.#.#.#.#....#......#.#...##.###....##########..##.##.###.......##.##.#.#####..###########.##.###...##....#.....#.##.....###.###.#.#####..#.#..##.#####.#...#.###.#.##.#........#.##.###.#.##.#.###...#..#.#.###....#####.....##.#...#.#.#.##...######.##....#.#.#..#######.#.###...##.###..#.....##.####.#.#...#####.#.#.##............#.##.####.#...######..##.#.....#.########.##..####.##.##.#.#...###.####....##.#####.#.#.##.#.........##.##.##.############.#.#.##.#...########.##.#.#..#.#....#.#...##.###..##........##...#..#.##.#.#..#...##.#.###.###.##....#.#..##...##.#..#....##.####.#.##..##..#...###.###.#.#..#.##.###.............#.##.######...####....##....#######..............########.###.##.##.#########...#.##
###.#.########.##..#.######.###.##.####.#..#.#.###.##.##..##.#.##.##.#.#.#..####.#.##.###.#.#.##...##..#.#...##.#.##...#....#......###.###.#######.###.###.#.##.#...#....###.####..#.##.#.#####.#.#.#.###..##....###...######.##....#.###....##.##.#########..##.##..#.#.#....#.#.##......##..###.#.#.#.##.#...#.#.#####.##...##.##..........##.#####...#.##.##..#.##.#..##.##..........##......#.####.####.#####.###.####.....###....###.#.##........#.#.#....#.........#.#.##........######.#.############...##.#..#.###.####..#####.....##.###.#.....##.#.......###.#..........####.####...#.###...#.#.....###.##.......#.#####.#.#.##..#........#......#.##..#.#####..##.#.######....####..#.#.#.#..##..#.#.#####.....#..........#######..............###..###.#.####.#.#....##..####.####...#.####...###....#####.###.####..###.##..#.#.#.##.####.#.##.......##.##########.#####.##.####..##.#######..##.#.###.#.###.#.#.####..###.#.#.#######.#.#..#.#.####.##...#.#########.#.##.###.#############...###.#..#.##.#####.##..#.#..#
#.#####.##.#....##.#.#...........#.#....####.#.#...#...#######.##.##.#.#.##....###.##.#...#.#.#..#....##.##.#####..##.##.#.###.#.#..##...#.......#.#.....###.##.##.###.#...#.#.##########.##.####.#.#..###..##.#...######.##...#.####...#.##..####.##.##.####..#.##.####.##.#########.#.#..##...#.#.#####..###.#####.#.######.....#.#####.#.###..##.#####..#######..#.#.##.....#.#.#.##.##.##.#.#....####..........##....##.#.#####.#...#####..##.#.#.######.#...##.##.###.#.##.#########...#.#..........###########.#...#.#.#..###.###.##..#.......#########.##.#.......###########.#.#.#..###..###.##...###........##.####.####..#.#.##.###.#.##.###.#.#...###...#.##..###.....#.#########..####.#.##..##.....#.#.#.#.######.#.#.#......##.##.#.#.#####.....##.######.###.####....####...#.##.##..###.#...##.#.....#...#######........##.#.#.##..#.#.#....#.######..#.#.#.#.##########.##.##.....#.#.#..##......#.....###.#....##...###.#......####.#.##...#.#####.######.####......#...#...............#..##...####.........#.####.##
#............##..#.#.##.#.#.####.#####.##....###.####.##.......#..####.#.##.##..##.#####.##.#.##.##.####..#.#.##..##..#..#..##.####..##.##.##########.##..##..#.##...#######.#.#.##....##......##.######...##..#.#####..#.###.##....##.##########.........#.##.####...##..#..#.#.#.##.####..#.#.###....###..##....#......#.#####.##########.#.##........######.#.##.#.#....#.#.#####..###...###########.##.######.##..##.##.#....##.#.#.....##..#.#.#....#.###.#.##..#...#.#.##...........#.###.##########.##....#.#####.#.#.#.###...#...#####.######.#.#..##..#.##.##.####..###.......#.#.##.####.#....#..##.#.##.#########....#.##.#..#...###..####..#.##.##.#.###.#..##.##.####.#.##.#..##...##.#.#..##..#.###...#.#..#.#####.#.#.####..#..#####.....#####.......##...##..####.####.##.##..#####...####.######.#.####...#..##.##.#.#...........##.....######..#.##..........#.##.##.#.#.....#.###.#.##..###.####.##.###..#.#.##..#...#.#.##.#.#.#.......#.....#.#...###.......######.####.##################.#....###.##.####..######
##########.#..##.###.#..#####....##.######.#.##..#.....#.###.####..##..#.##..##.##.#.#...##.#..###.....#.##...##.####.#.#####.....#.#####.........##..###..#.##.###.####...#........#.###.#.#.##......####.#..##.......##.#.#....#.###..........##.########..#.##.##.##..###........#....######.######..######.##...#.##.......#...#......###....####.#.###..#..........#########.#######.#....#..###.#......#.######..####.#.#.###.#.#.#.#.##.####.#.##....########.#.#########.#####.######.....##.###.#....##....#.#..#.....#...###.####.#####.......#.###.##..#.##......##.#.###.###.#.##.###....#.##.#######.....###....#.#####.#.##.#...#####.####..#............###.##..##.........##########.#.####.#.....######.......#####....##.##.##.#..#.#############.##.#######.##....#..#....###########.###..#.############.##############.#######..###..##..##......####.#####.#...#.#...#.#.#.#.#.#.#..##.....##.####.##.#.####.######.#..###.....##.##.#.###.#.#####.#.##.##....###...######..#..#........####.#..##.##....####.####
#.#.#####..##.#...##.##.#.....#.##.........#.#..#####.##.##..#..##.##.##.##.##..####...#.##.#.##...#.#######.###..##..#.....#.#.###..#.##.#.#.##.####...#.##..#.#....#.###.#.###.#.##...#.#.#.###.#.###.##.#.###.##.##..#.#.#.#.####...##.#.#####...........##....##..##..##.#.###.##.##....##..#.#####......#..##.####..#.#.#.##.##.#########.#..#######.##...#.#.#.##........#....###.####.#...##...#.##.#....###.#####.###.#...#######.###....##.#.##.####.#.##...#.......#.#..#.######..##.#.##........######.###.##.#.#####.#............##..##.##.....###..#####.#.##........###...#.#....##.######.....#########...#.####...###..###.#........###.###.##.###.#.##.#.##.###.##.##.###.##.....###....#.#.#.#.....##.#.#######...#.##...#..#.########....##...#.##.###.###..#.##.#.###.#..#.##.#.##..####........#.###.#.##...##.#.#.#######.###...##....##..###.########......###.#.#####.#.#.#...##....###..#...#...######.###.##################..###..####..#..#...########.#.#####.##.#.##.##.#####.###.#.##.####..#####.#.#.##
#.........#####.#.##.#######.######.#.####.######.....##.##.###.....####.##.###.#....#.#..#######.##.....##..##..####.#.#######...##....###.#######.#.###.##.#####.#...........#.#####.####.#...#.#.....##.#.#....#####.......#############...###.#.####.#.####.#..##.###..#.#...##########.###......#######.#.##.....##.###.#.##..#........##.##....#.#..#..###.#.#..#.#.#.##...##.......##.######.###..###.##......#..#.###.######.#..#.####.######.#..........#######.#.#...##..........#######..#.#.#.###.#.####..##.#..###..#.#####.####.#..###############..##.#.#.##.#.##########.#.#.####...#.#.#######.#.#.#...#.###.##.#..###...#.#.####.#...#..##..#.#####...........#.#####........#.#####.####.#.###.#.#..#.#..####.##.##..##.#####......#...#.##..######.#.#.....#####.....###.##.......##.#.##.########..........#.#........##.....#..#.#..##..##.#.###....#.#.#.##..##.......#####.#.####.##...##...#...#.........#.......##...##.....##...##..##..##.##.###.##.#.###.##................##.####.....#.#.######..#.#....#
#######.#.##....#..#.#.........#.######....##..######.####..#.##.##.##....#..##.###.##.##...##.....#.#.#####.###...##.#.......##.###.##.###....##.#.#..##..#..##...#.##.##.##.##...##....#####.####.########.##.#....##.###.#..#.#.##.....#.#...#.#...#########.#######...####.#..#......####.##.##.##.#...#.#..###.#..#...#.#..##.#.###.#.###.##.#.##.#.##.#########.#.############.##.#.#...#.#.#.#.#.###########.##.##...#..........##....#..#.##..##.##.######.....#.###.#####.##.###.##.##.#..######...#.#.##.##..#.#.##...#####.##....####....#.###...#.#####..###########..#..##..#.#.#.#..###.#......#......#.#.#........##..###.##.#.#############..##...####.##.###.#.......#######.#####..####.#.#..####.#.#####.......###..###.#.#.#.######.###..##..#.#.#.#...##.###..##############.#####..........#..##.#############.########.###...##.#.##..##......##.###...#######..#.#.####....#..##...##.##############.#.####.#######..###..###..##.####..#.##...#...........#.....#####.########.....#.###.###.....##.#.##.#.####
#.......#.####.##.#########.##.#........#.####.#.#.##....####.#..##..##.#.##.####...####..#.###.##.#.#...#.###...###..#.#.#.#######..##...#.####....##..##.#.##..#.###...#.##..#.#####.#...#.#...##..###..##..#.###.##..########....#.#.#.####.##.#.#...#.#.##..####.##.#....#.##...######.##..###.......######...#.#.###.##.##.#......#####.###..#...............##..#............##########.....#...............#.....#.###.#.#.#.#.####.####....##.##.##.....#..#########..##.#..#####.......##.#.#.######....#.###........#.#.#....#.##..#...##.......#.......##..#...##.##..##.##..##.#...##.##....######.####...#####.##.#####...#.####.............##..###....#..#...############...######...###...####.#..#.#..##.#.##.#.#####.##......#.#.#..#.#######.##.......#.####.##..##...#.##.#.#.#.#.#.#####.####.##..........#.#......##.#...##.#############.#######..##.###...#...##.####.####...###.####........##.##########....#.#.##..###.####..#.#.#..##..##.##.#######.#...#.######........###.##....##..######.#..#.#.......#
##.#.##.#....#.#..#.##.......####.####.####.#.........##..##....####.#..####....#####....####...#..###.#....##.#.#.####.###.......####..#.#......####..##..#.###.#...##.##.#####.....#.##.##...#####.....##..##.#######....#.#.#.####.######.#########.##.#.###....#.#####.######.#...........########.#....#.#.#####..##.####..#.##.#..#.#....####.##.#.#.######.##.###.#.#.#########.#.#.####.###.######.#.####.#####.....#.###.#.####.#.##.####.#..##.##.#.#...#####.#..#.##....####.#########........#.###.###.#.###.#.######.#.########...#.##.##.#.##########..##.###...##.....##..#.#.####....#.##..###...####..#.#####.###.##.##...##.##.##.#.#######.#...##.#.##.####....####.#.###.#.#..###.#.#####....#######.....#.#.##.#...##.#####.#.#.##.#.##.#..#..#######......##.##..###.#..#.............#...##..#.##.#######.#.######....#..####.#####..#.......#.#.##....##.##.####.###..#.##.###...##.####.#.###.....##....##.###.#..##.#.#.#.#######.####..##.........#####.#.#......##.#####.#.###########..##..####.#.##.######
######..#.#.#######....##.#.##....##...#.#....######.####.#..#.###...##.##...#########.#....##.##.##...#.#####.#......#..##.##########.##.#.#.##..#.##########.###.####.#...####.###.####.###.###.###.#.###.###....#..##.#........##...#.#...###..###........###.###.#.##.......#.#.#.#.#.#.#.##.#.###.#.##...#....##.##.....##.###..##.....##..###..###.#...##.####...###.#....##.#.#.#.....##.###......#.#....#....##.#.#.#.#####....#.#.....###.#.##..##.#.#.#.........######.#.........#.#####.#######.#.#...........#####.#...........#.#########.#....#####.##.#....##.##..#######.#.#..##..#######.##.##.##.###.......#......######.##.##########..#.##########..#......####..#.#.#.#.....###........##.###.#.#.##.#.####....##.###.##.##........#..#.#.##.####.####.#.###...##.#.#.#.##.##.####.#######.#..##..###..#.#.......#####.###..#...#.#.##.#.###.###...###.####.......###.##.#.#....###.......#.#.....#####..####........###..........#.#.....##....#####.###.###.####.##.##......#.............####..###.#.......#.#.#
#.##...##.###..##...#####.#.###.#..###.#...##.#####..##...##.#...#.#.#...#.#...##......##.#.##.##.#..###...##..##.#.#.#####..........#.####.#..##.#...#.#.......#####...#.#....#...###......#.##..#.#.#.##....##.#...##..##.#.#.#....###...#.#.#.##.##.##.##...#.##.....####.#.####.###.#####.#..#...#.#..#.###.#.######.#.######...###.#.#..####.#.##...#.#.......##.#######.#..........#####......########.##.#.####..#####....##.##...#.#.#...###.###.##.#.#.#.###.###...#.#####.##.#.#..........#.##.#.#...#.#.###.#.........#.#.#.###.####.#.##.########...#..#...#.###..##...##.##.#.#.###.####.#.#...........###.#.########.###.######..##.##.#...##.##.#.....##.########....##.......#####.#.#########..##.#.#.######.###.###..##........#####.##.##.............#########.###.#.#.#.#...########...#####.##..###..##.#.#######.#.#.#.##...#.....#......#.....###...#....##.#####...#.#.##.###...#.#.##############..###.##.##.##.....#.#.#.##...##.####..##...#######...#...#########.#.###.##############.##.#.#.#.####.##.#.#
#.###.##......####.####.#.#.#...##.#...#####..#.....####.##..#.#.#######.####.##..##.###..####..####...###..####..#.#.....#.##.##.####...##.##.##...###.#.#####.#.#.###.#.##.#########.#.#.##....##.#.#######..###.#..##.##.#####.##.....#####.#..#.##..#..#.#######.#########..##....####.####.##.#.#.#.###########.#.###########.##.######......#..#.#.####.#######.......#.#.#.#.##.#.....##.#.#.......##..#.#....##...##..#.###.##.###.#.#.#..####.###..###.#..##...###.....#.###..###.###.#.##....#.#...########..#.#.#####.#####...#####........###.....###.##.###.##..##..###.............##.......##.##.##.##.#####.#.######......#.####.......#.#..##...###.######.#..#.####..#.######..#.........#.#####......##....#.######..#.#.#.##.....#.......#.#.###.#.#...#.##.#..............#...#....##.##.##...##.#.#.###.......#.#.#.#.#..#.#.###.#...#.#.########.##.##.##########..###.#.#....##.####.##.#.##......##.#.#.##.##..##.##.#############..#.#.#####...##....#######.##.##...#########..#..##.##..##.......###.......#
#.....##.###.###...##.....#.###################.#.#..#.#####.########.......#..##.##..##.##....##....#...##.##...#####.#.##..#.##....#.###...#.####.....#.....#......##.#.##.#####.#.###.#..##.#..#.#####..##.###..##.##.##..#.#########....##.#.##..####.####..#.#.....#....#.#########.#..##.....#######.#..##.#.#.#..#.#..##..####.##.#.#.#.##.######.##.........#.#.##.##.#.#.#..#.#.##.###.###.#.#.#..#.#####.####.#####.###....#...########...#....##..##.#.####.#####.##.....##..##...#.#.##.####.#.###.##.#.####.#.....#.....#.#..##...#.####..#..#.#.##...#.#.#####..#.###..#.##.#.####..#.#####..###...#....##.#.........###.####.##.##.######.##....#...###.##.#.#.##..#.#.####.##...##.#########..#..##.#####..##.......#####.#.#..##.#.######.#####...#######.#.##.##.######.#.#.######.####..#...##.##..#.....#.#######.#.#...#.####...###.#######.#.##.#................##..##.....##......####.......##.###..........####...#..#.####...#.#.##.......#.#....##.....##...#..#.#..##.##....##.##...#.###.#######.####.#.##
####.###.##....###..##.#.########...#.##........####...##..#..#.##.#..##.#####.#...##..#.####.####.#.#.#.##.###.###....#.#..##..######...###.#.#....##.##.##.###.###.####.##...#......##.##..#.##....##.#.###...#.###..#####........##.###.##.....#.###.###.###.#.#.#####.##.########.#....###.######.####.#.##........##.#.##..###.#.##.#.#####...##.#####.#.#.#.###.#.#..######.#.##.#.#####...##.#####.####.#.#....#..#..#...##.###.#........#.#...#####.###.#.#.##.##.##..#.#.####.##..#.###.##..##....###.......##..#.#.#.#############.###....##...#########......#.##.##.....##.##.#.#####.#....#######.###.##......#######.#.#.##..........##.####..####.#..##.........#.##.#..###.##.###...##.#.#.#.##.##..##.##.####.##.#.....###.##.##.#....##############.####.#..#.#.......###.#..##..#.##.#.##.###.....##.###...............#....#########.###..##.#.##...#.#.###.########..###.########.##.#.#..#####..#.#.#.##.#.###....##.##.##..#.#.###.#....###.#####.######.##....#...#####.....#.##.#...##.##.#.#.###.##...###.#.##
#......#..##.#.#...##..###.##...###.#....####.#.#....#.###...##......##.....#####.####.###.....##..#.#.####.#.#...###.#####.###......###..##.#.#.##..#.....###...###..######.#...####..####.#####.##..#.#.#.#.###...#####.#..#.#.##.....#####.#####......##..##.#.#.##.##..#.##.##....#.#####......#...#.#.#.##.##.#.#....#.###.......##......######..#.#.#.###.#...#.####......###..###.....#.#.##...##.........#.#.###...##.#..#...#.######.#####.#..#..#.##..#...##..#.##########.#..##.#..##.###....##.#.#.###########.###..##.###........##.#.###.#..##.#.##..##.#......#..#.#.##..#.#....##...##.....#.##########.#.##.#######....##.##.#.####...##..########....#.#######.##...##.#.#....#.#......#.#.....##.........#####################.##.#.......#.####.#..#.#.#.##...##.##...#.####..##..#.#.##.....###.....#############.#.#######.###.#.###.##..#......#.#.#...#####.##.#.##.#.###...#######...###.#####......#.#######.##...#.###......##.#.#########.############.#.##.#...#.###.#....#...###..##............#...#.#..#
##.#.#.#.##..#.##.####.#......#..#....#.##....#.##.#.#.#.##.####.#.#..##.#.##.##...#.#.##..##.######.####.....#.#..##..##....#####.######..###.#.#..############...##......#.###....#.###.#..##....#.##.....##########......##.#####.##...##....##..#######.##............####..###.###.####..##.###.###.#.......###.##.#...#.#.#####.##.######.##.##.....#..##.##.#####.###.##...#.####.#.#.#.###..#..##.#.##.#####...#.#.#######.#.#..##.#####.#####...##.#..###.####......#.#.##..#####.#.##....##.#.##......##....##.....##......##.##.##..###...#.##......###..#.#.#.##...##.#..#.##.##.#..##.###.#.#....#..##.#######.......##.#####.#######.#.###..###..##.#########..###..#.####.....####.########.#.#####..###.#.#......#.#......###.#.######.#.#.#..........##.###....#..######.#...###..##........#.#..##.#.#...#####.....###................##.###.#.####.##########..................#...#..##.###.#.#.####.###.#......######.##.#...#######.#.###.....#.......##.#.########.###...#.###.##.###.##....###.##.#.#.#######.##
#..#.###..#.####..#.##.##.##.###...##.######.##.#..#.###....##...#.##.##.#.....##.##....##.#....##......#.#.###.##..#.######...###.....#######.####..........##..#.#..#.######...#.##.....#.#####.##....#.#####......###.#.##....##..###.##..##..##.##.........#.###.###.##.##.##............#######.......############.##.##.#.###.###.....#.#....##.######.##.#....#.....#.###.##.#..#.#####...#.###.####..#....####.#.#.......###.##...........##.#.#######...#..#.##.#.###......####.###.####.###.###..#.##....#####.#.#..#.##.#.....#####...##.#####.##.#.....##.#.#..#.#.####.#####..#.##..#.#.#.#.###.##.###......#..########.###.#.#.#.#.#.....#.##.#.##....#.#.#.##.#.#.##..#.###.#.##.#.##.##.#........##..#########.###...######.#....##.#########.##########.##..#####..##.########.#.###.#####.####.##..#######.....###########.##.#.##.##.....#....#######....#..###.#####.###.#.####.#...##.............#..##.########.#..########.#...##........###...###.#.........#.###.....#.#...######.#.##.#############......#####
#.##.##..##.#....##.....######.#.#.#..#.......#.#.##..###.#..#.#.####..###.#.#.##.##.#.##..##.######.##.#.#...###..##..##....###.####.##.#.#.###....##.###.#..#.####.##.....###.######.#########...#.#.##...#.#.######...#.###.#..##...#....####.......#########.######........##.####.#####....##.#.##.##.....#.#.##.#######........##.###...#.#####..#..########.#...#.#.###.###..#.#####..#.#.#...#...###.#.##...###########.##...##.###########..#....##...####....#.#.....######......#..#####.....##.#..##.#...#.###.####..#.########.#..#..###.#.###..##.#.#######.##.#...##.....#.##..##.#...######.........####...####..#.#...#.#.#.#...#.#####.#.......####......#.....#..##.##..#..............##.#.#.##.##.#.#.#.###.#.###.#.##.##.###...##.#.#.###...#.##.#..##..#######..#.#.###....##...#.####.######.##.##.##.##.##.......##..#.##########.##.####...##..####.##.#....##...###....#####....#.##.##.##.###..####..##.#...####.#..#...###..###.#.####.#...###.##.##.#.....#.#####.#######.##............#....##.#.##.#...#
#.#...##..#.####..#.##.###.##....#.##.#.#.##.####..##..##.#.####.#....##...#.#.##.##.#..#.##...#.#...##.###.#..###..##.#..##.......#####......#####..#..##.#.####....##.#.#...#......#.....#.##..#.###..#.#.......######.#..##.##.##.###.####..##.##.#.........#......####.#####.....#.....#.##.......###..#.#.........##.#.#.#.#.#####.#.#####.....##.#.##.#..#.#.#.########....####.#.#...######.###.#...##########.#.#.###.########..............########.#..#.##.#.#.##.##........#.#.##.##...###.#.##.#.##..##.##..#...####.#..........#########.#..###..###.....#########.###.###.#..##.##.######.#.##.######.#########.##...#.###.#.#.#.###.#.##....########.##.#####.#####.##.....###.#.#.#.#.#############........#...#.#...........#.###.###.......##.###..#.#.##..##.#.##..##.#.#.###.##..#.#...#......##..........##....##.########.......######.......#....##.#.......################..##.#########...######..#.##......#..#.#.##...###...######....###.#..#####..#.###.#.#...########.......#.#.#.######.############.###
####.########....#######......#.##.##.###.##..##..###.##..#.##...####.##.#.######.#..#.##.##.#...#.#..#.##..##..##.#####.#####.#.#...#...#.##.#.#...#####..#...#####..###.#.#####.#.###.##....##.###...##.#.#.#.###...##.####..#####..##......##...#.###.#.#####.##.#....#....#..#.###########..#.############.#.#.#.###......######..#.#..#.##.#####.....#.#.##.###.##.#.##..####.##.#.#.###..###.#######..#...##.#..........##.#.####.#.##.###.##......#.###.##.##.#.#..####.#.#.#.#########..#...###..###..##.#...##.#.#....#.##.#####.###...#.#.#.#.##.#.##########..#...####.#####.##..###...........##......###............###.#...#............#.##..#.............#...#.......#####.###.#.#.#.....#.#.#.##..########.###...#########.#.#.#.#.#.#######...#..##......##..#.##.##..#.#.#.#.#####...###.#######.#.#.##.#######..####...###.##.#.##..##..##.#######......#.#.####.#.##...###..##.##.....#...##.###.#.##.#.#..#########.#.####...###......##.#...####.....#.##############.##...#.###.#######........##...#.#.##....#
#......##..###.#...#########.##..####.#...##.#######..#############....###......#.##.#..#.#####.#####.#.##.##..###.....#.##....###.#...#.#..###.#.###.####.#.#.#..##.##...#.....#.#...###..####....######.#.#.#.....####....##.#.##..###.##.#..#####...#.#..##.#######.###.####.########..#.###.#...........#############.######.##..##.##.#........##.##.....##...#.#.......###.#.........#..##.###....#####.###....#.#.####..#.#.#.#############..####...##......###.#.##....############.#..################..##.###.####.#.###......#..##.###.#........#....##.#..##.#.###.#......#.##.###..#.#.#.##.###.###.####.#####.##.#####.#.###.###.#.#.##....##...#############.#.#.#######.......########.##..........###..##.#.#.#.###...###.###...#.#....##.....#...#####.######.......#.##........###..####...##...#.#.#..#..##.####..##..#...########..##..##........#.###.##.#..##.......###.#.###..#.#.#.#.####.#...#..#.#...#########.....##..###...##.######.#.#####.#.####.#...#..##.......#.....######.###.##.##....#........#.##
####.#####.....#.#..##.#.....##.##....###.##.##......##....##.###...##.##..#.#.##.#..#.##.#......##...#.##..##...##.##########...####.#######.......#....#.#####.#######.##.#######.#...##....##.#..#...#.#.###.###..##..#.##.....##...#######.#.#.##.##.##....##.##.#####...##....#.#.##.#...###.#.#######..##.#.##...#............##.......#########..#.#.#....#.#...#######.#.#.####.##.#.##...#..##...#....#..#.####..#.####.#.#....###.#....##...##.#..##.#.#...#.####.##.##.#.#.#.#.....##..............##.#..#.#.##.###..####.#.######...#...#########.####...###.........######.##.##..##.###..#...#...####.#..#..####.#.#.#....##.#.###.#.##.#####.#...#.........#.###.........########.##..#########.##.##.#.##....#.#.#.#.###.#.##..###.#.#####.#####.#...##.......##.######..##.#######.##.##...#....########.#####....##....##.#..#.##.###..#.#####.##.#.#.#####..##..#.###.#.#.#...#.#.########....#...###.####.#.......#.##.#####.###..#..#.##.#######.##..###.##.#.###.###.##.#.##########.#...#####.#..##.#.###.#.##..#
#.....##.##.#.#######....#.####..######...##.##.#.#.######.#......#..#.#..##.#.##.##.#..#.####.#..###.#.##.##..#..#.###.#.#....#....#......######.#...#######.#......##..##...##.#####.##..####..##...###.#####...#.####.#####.#.##..#...#######....###..##.##.#.........#.#....#.##....#...##########..######.....##.##.#############.#.#.###.#.#.#.#.###############.#.#.##......#######......#...#######.##...##########.###......####.#...#.##..#..######..###.######.####............#.#....###.#######.######..........##...##.######.#.###.####....##...##..###...#################..##..#.#...##.###.#.##.#.#.##.###.###.#.##.###......#.#..#.....#####...#########..#..##########.#.##...##..##...########....##.####........#.....##.................####.###.########...#....###.#.#...........#########.##..####..##.#############...#...###......#########.....########..######.#.###.#.#.#.#.#..#.######....##..##.###.##..#..##.......##.##........##...##...#..#.#.###.#.#.######.###.##.#...###.#.###.##..#####.#.#####
#.#.#..#.##.#..#####..##.#.#....##......#..###..#.####.......#.##.#.#####..###.#######.#####...#.##...#.#...##.####.......##.#.#.#.##.######....#.###.....##....##.#..##.####......#.#..##...########.#######.###.#...##..#.##.#..#.##.#..#.#.#..##...##.##.##.#.##.######.#.#.##....##.#.####..##.#.#.##..##..#.###........###.##.##..#.#......................########.#.##.##.#.....#.###.#.####..........#.#.#.#.#.####...##.#.####.#...######.###..#.#.#####.....#.#.##...#.#.#.##.######.###.........#....##..##.#.##.##..#######.#.#.#.#....#.#.##.###.###.###..#...##..........#.#.##..##.##.##...##.#................#...........#.######.##.###############..#.###...##...##..........#####..#.###.....##.#####.##.#.#####.##.##.###.####.##############............#..###.####.......##.####.####.####.#..##..#.#.###.#.######....#.###.###.#.##.###.#.##.########.#.#####...#.##.................####.#######..##..###.####.##.###.##.#################..########.##.#...#......##.#..#.#..#.#.###.....##...##..##.###.#.###
#.#.##....#.####.#.##.##.#.##.#.#..###.###.#...##.#..#####.#.#.##.#..##...####..##.###...#.##.##..##.####.#.##....###.######.#.###.##........##.#..##.#.#....#######.###....##.###...#.###.#....##......###.#..#####.####...##.#.##..#.##.....#.#####..######.....#.....##.#.#..##.###.....#.##.#.......##....##.....##.#.#...........####.#.####.##.#.###.#.##..#.#..........######.#....##.#..####.###.#.#.#.#..........#.###..#........####.#.###.##......##.###.#.....##.#.###.#.##....#.#..######.###.#.#.##..##..#.##########.....#.#.#.#.####....###.###.#.#.#.######..#####.####.###########.##########.##########.##.#.########.####.#.####........#.###.#.#.##.....###..###..##.#########.##.#.#...#####....#.#.........##.....#...#.#.#####.##.#..#...##.#.##.#.#.##.###.......####.#####................####.#.#.##.....#.....#.##.......#.#..#.......#....##..#....#..##.###.#..#.##.##.#.#######.##....##...###.####..#.#.#.......#.....##...##...###.###...###......#...#.##......##.#.##.#...#.##.############...#.....#
######.#.##.##.........###.#..####.#.....#####.##.##..#....#.#.##.#.#####....#.##......#.#....##.##...##..#.#..##...#...##.#.#...#..##.##.#.##..##..###.#.##..###.####.###.##...##.###...###.####..#.#.##.#.#.##.#.###.#..#.##.#####.#.#..###....#.######.####.#####.#.##..###.##...##.#.#....#.##.#.####..#.####.#.###.###.###.#.##.##.############.#...###.###.....#.#.######.#.#####.######.##..#...###.###.#.######.#.......############.#.#..#..##.##.#....##..##.#.#####.###.#####.#...##...##.....#.#.#..##.#####...#.#.##...#####............##..##.##..#.....#.#.###.....###....######.##....#.##.##....###.#.########........###.#.......#.#.#.####.#.#.#.#.#..#.#..###.....##..........#.#......####....####.#.######.###########......##........##.####.#..###.#..#.#.#.#.#.#....###.######.#.#.#####.####.#.#.#.##.#.###.##.######.#.#.##...##########.######...#.##.##..#.#...########.#......##..##.######.#....#.##.#.#.#.##.##.#.#.#....###..#...#.....###.#.####.###.#..##.#.#...........###..####..##..###..#########
#......#..######.##.##.#...##.##.#.#.##.##.....##..##...#.##.#.##.#.#.##..#.##########.###.##.#..##.#..##.#.#.###.###.#....###.#.##.##.####..##..##.##..#..##......##....#..##.###...###.##.....##.#.#..............#..##.#.##...##..####...##.#.....#.#....##....#######.###...##.##..#.####......#.##.#.##.##.###...#..##...#.###................#.##.####.#...#############......##.......#....##.#########.#.....######.###.........#........##.########.##..#.##..#.....#...####.####.#..#.#..#.#.#.########......#.#........######..#.#.######..##..#..##.#.###...#..#..###.....####.##....####.......#.##..........##.#..##########.#.#####.########.#...........#####.....#.#.####.#.#.####...#.##..#...#.###......#####......#..#####.##....#.#.#.###....#.#.#########.#...#.#.##.#####...#.######...######.#.#...#..#.#..#..#######.###.#.##.###.#.####.#.#.#....######..##.....#........###.#.##..#.###....##....##............#########.#.##...##.#####.#####.#......#...#.##..#.#.#.#.#########...####..##..##.#.##.##.#..#
##.#.#.##.###.####..##.##.#####....#.#...#.#####..####.##.#..#.#..#.#.#..##..##..........#.#..##..###.###.#.#.#.####..#.##..##.#..###....##.######...##.#.##..####....#.###..#...###...#.##.#.#..#.#.##.#.#.#.##.#.##.###.#.###.##..##..#.#..###.#####.#.#####.####.....#...##.###..#.##....#.##.######...####...#######.###.##...##.#.########.####..####.#####....#.#.#......#.##..###.#.#.#.#.#####....#..#########.#.##...#####.#.#...#.##.#......##...###################.#####...#####.#######.#.#..#...#.#.######.#.#.####........##.#......#.####...##......#.###.##.######.#..#....##.###....#.#######..#.##.###......###.##..#.#.....######.#.#.#.#.#.#.#.##.##.#.##.#.####..#.#######....###..##...######..#.##.....########.##..######.#.#######.#.########..#####....###########....###.#.#.##.#....#.#.#...#.#.##.####.##.###.#.#######...................#####.#.##....#######.##############.#.....####..######.#.#.#.#.#........###########...##.#.........#.#.###.##..##.#######...#.#.....#....##..#.###...........##
####.###..#....#...##..#..##.####.##.##.####.....##..####.##.#.#.##.#...####..##.##.##.######..##..##.#...###......#.##.#..###.##...#.#.##.....####.##..#..##....###.##..##.###.##...###.##.###.##.###..#######..#......#.#..######..##...#.####..........###.......#.####.##..#...####..#.##..#.##.#.##.##..#.###.###.###.#####.#####...############.......##.##.###.#...##.#######..######.#.#..#.##.####.######.###....#.#...#################.#####..####..#.##......##..#..##...###..##..##.#####.##...#.#........###.#...##.####.#..#.##.##.####.#..#....######............#####...##......##.#.#.......##.#..#...##.#.#.#......##.#.#.#....#...........#.#.#.##..#....#.#.#####....#.#.##.####.#######..#.#.#.#######.#..#...##...##.#.#.####....#.##.......#.#..##.#.##.#####..#.##.##.###.#......#.##.###.#...#####.#...........#.......##...#.########.#.##.###.#........##..#.#.####.#.##.#####.####.##..#...####..#########.###.##.#...#######...#......#.#.#.###.#.##...#####..#..##..#.....##.########.##.#...####.###.###
#.#...##.#####...#..##.#.##........#.##..##..###..##......##.#.#.##.##.##....###.#..#....##...##..##..###.#...##.#.###..##...#.###.##.#.####.#...##..####.##..#.##########..#.#####.####..#.#....######.##....##.#.####.#.##......##.####.#.##.##.##.#.##...######.#####.#.#..####....#.######.#.........##.##.##....#......#.####..##.###..........#.###.#....##.......###......#.##..##..#.####.#.#...#.#.##.#.......######.###.####.###.#..##...#..#.##..##......#######.#####..####..######....##..##.######.#.#.#...#.#.#.##.##...##########....#.#####.#.....##.##.###.#.###.#.#######.##.#####.##.#######.#.##.#..#####...##.#......####.#...##.##.#######.#####...#.####..#.#####......#...##..##.######.#.#.#.#.######.#.####.###.........#.#.##..##.#.####.##..#..........##...............#.##.###...##...#####.....#.##.######.#######..#.###.#.#.#########.#.#.#####.####.......##........#.#.##....##...#.##...###.#.#.##...########..#.##...###.#.######.#...#######.####.##...##..###.#.##......##.#.##...#.########...#
#...#..###.....#.##.#..#####.##.#.##.#..##..##...####.###.##.###.##.##..#.#.##...##.#.#.##..#..##..##.#...##.##..#...#####.###.#.#.##.#....#.#.#..##.####..##.#.....#.##.##......##....######.##.##........#.###.#....##########.###.#....#....##..########.....##...#.#.####.##...##.#......####.###.##..#.......##...##.#.....#..###.....#############..##.######.#.#...##.#.#....####..######..#.#.#..........##.#.####.##.###.#.#........#####...##..##....#.####........##...###.#.###.#####.####..#...##.#####.##.##.#.#..######..........######..##.#.#.#.#..#.#....###..........#..####....####........#.#.#####...###.###..#.#.#.###...##.###..######.##...#.#######.##.##.#.##########.###..##.....#.#.#.#.........####..#.#..##.##.############....#...##.#..##.###.#.##....##.#.###.######.##..####..#.###.#.##.#.#####........#.##..####...........####.#.......#######...#.#.####.##.##.##.#..#.#####.###....###.#.#....##.####..######..##.####.#......###.#..####.#.......#######.##..#.##.#.##.........#.#.#......##.##
###.##.#######.###..##.#.....#..#.##.##..##.#..#.#....##..##.##...#..##.#.#..#.#.####.#..##.#.##..##..###.##.###.#####.##....#.#....#.########.#.##.....####..###.#.......#.#.##.##.##.....##..###..#.##.#.#...#.####.......######.####.#.#.##..##..#.#.###.#.#..###.......##.##.#..####.##.###.....#..##...####.###.######.#.#...##.#.###....#.####.#.##.#####.#...####.#####.######....##.##.####...#.####.###.##.#....#.##.........##.#.####....#..##.##.#######.#.########..###.#.#.#...#......#.####.#........######..#.##......#.#.#.##.######.#.##..#.########.####.#####.##.#####.###.######.####.#.##.###.....#.###.#...####.#.###.###..###.#####......#.#...####.#...###........##.##..##..####.####.......##.#.####.###.#.#.##...#.#.....#.#.##.######.#..#.##....#.######.###.#...#......#..##....##....##......######..#.#.##....##.#.##.###.#.#.#..#.#.#.#######...#.#########..#.########.##.......#...##.#.....#.#.#######..#.##.###..###.##.########...#.##..#.#.#.##.##....#.#####.##..#.#.#########.######.#######..#
#....###.........##.##.##.#.##.##..###..##..##.#.########.#..#..###.########.###.#....#.###.#..##..##.#....###.......#.###.###.##.###.......####.##.##.######...#.##.##.##############.#.#####..##.##.#..###.###....#.###.#......#.##...#.#.##.####.......#.#.#.########.####..###.###.###..##..##.######.########.#..#..##.#.#.#....#..##.##...........#.......#.#....#....##..#...##.###...#..##..#.#...##...#..######....#.##.#######.#....###.###....#....#.#............#.##.........###.####......#.#.######....####.#.##.##.#####.###...#..........##.......##...##...######....##.#.#...#.##....#.####..##.#######...##.##..###.......##......###..####.#.#####......#.....#########.##.####...........#.#.########.#..#.#........#.#...#.###..........####.##.##.######....#...###.#.##.##.#########.####.###.#######.#.####.#..##.#..#.#.#....##########.#.#..#.#.#..#.#....#.#.###...#.##.#.#.##.#.##.###.##..##.##.#.#.##...###....#.#.##...............#########.....#..######.##.....#.#..####...###...###.#.##.###.#.####
###.##...#.##.#.########..####..##.##..##..#######........##.##..##..#.##.....##.##.#.#...###.####.#######...###.#.#.....#..##.##...##.##.###.##..#.##......##.##..#.#....##...#####.######..#.##...#.##...#..###.#.#.#####.#.#.##..#.#.#.#.##...##.#.#.###.###.......##....######.......##.###..#...##..........#.##...###.#.#.###.###.##.##.###.##.#.##.#.#.#.#.#.##.###.####...###....#.###.##..##.##.####.###......#.####.##.......###.####.#####.##...####.##.###.###.###.###.##.#.#...#...#########.#.....##.##....######.##.....#..##.#...#####.####..#.##.##..#..#.#......######......#......####....#.##..........####....#######.##.##.###.##.#.##..#######.#.############.##.##....#.#..#.#########.#######.#.##.##.....#.###############..##.#.##.##.##.......###.###.#########.#.##..#.........#...##................######.#######.#...#####.##..##..#.#.##.#...####.####.#.#.#.###...........#.##.##...##.##..###.#....###.#.##........#.#.###########..#######.#########.#####.#######.#########.#.#........#........#.#
##...#######..#...##.....##....###.###.#####....######.##..#..##..##....##.##.####..#.#.###....##...###....####..###.##.###..#..##.##..##..##..#.##.#..#.#.#######.####.#..#.###.##.........##..##.##.###.#####...#.#.....#########...#.#.###..#..#.#.##########.##.#..##.#.###....#.##.##....#.##.#..##.#.#.#.#....#.#...###.#...#..########..############.#.###.#..#..#####...#.....##..........#########.....#.#.####...####..##.##...#.......#.#..##.####.#......#...####...##..#.#.#.#...#........##.#.#.###..##.##......####.###.#.#####.#.....#...##.##.#...####.##.#.####..#.#.##.######.#.#######.#######.#.#.#######..##.......#..###...##..#....#.###.##.....###.##...#.#.....##.###...##...#.....#.##......#.......#.#.#.##...##.#.##....########.......#####.........##.##.#.###.##.##.##.########.##.#.#.#.##########.######.#.##....#.#.##...##..##.#....#.#.###.##....#.#.#....##.##.###.#.##..#..#.#..#####.###.#.#####.....##.#########.........#.##..#.########.##..#.#.#.#.####.##.#.#...###.#.######.#...########.#
#..#....#.###.##.#####.#.####.###..#.###.##..##........##.##.####.##.#.##..##..##..##.#.###.#.##..#.#...##.##.##..##..#.##..#####...##..#.###.##..####.###.......#..##..##........#.##########.##...###.#.#.#####.#.###.####.#.##...#.###..##.##.####..#...##..#..#.##..#.#...##.#.####.####.##..#.#.##..########.#.#.#.#...#.#.#.##.....##.##...#.##.##.##.#..#####.##...#.##.##.#.######.#####.##.......##.#.##.#....#.#..###########.#####.####...##.........########.##.##.##..######.#.#.##.###.####.#####.####...##.##.###.#...###.##.##.#.#######..#######.##.####..#....##.............#.#.......#.#.##.##.#.#.....#.##.###.#######...##.####...##....#..###.####.#..##.##...#####......#####.##.#######..##.###.#######.###....####.#..##.###.##.#.#####.########.######.....#.....####..#..#.......##.##.#.#.#....##.##.#.#.#.##.#.##.#.##....#.####.###.#.##......#..#..####.#.#.##.....#...#.###..#####.##....##...........#.###..#.......###.#.#.#.#....#.##..##.#..#..##............#..###...###......##.##########......#
#.##.#.##.....##..##...#.#....##..##..##.#####..##.###.##.#...##...#.#..##.#..####.##.#...#.#.#####.#####.....##.######..##....##.###..##.....######.....#.##.#.###..##.##.#.####............#####.##.........#####...#.........##.##..##.#####.....##...#....##.##..#######.##..#....#...##..##.#.#####.##.#############.###.#.#..###.#....##.#..........####..###...#.#...##..#.#...#.##....##....#.######.#..#.###########.#.......#.....#..#####..#.#.#.###.#####.####........##....#####.##...#.##.#...##...########..#...#.#.#..##.....###.......#.####...#.....#######.#####.#.############.###.#.#.......#.#.###.#...##...###.#...#.#.##..##..#..#.##...##.#...##...##.....#.......######..#...#..#...#..##........#####.######........###.#.#........##.........#......#.#.###.#####..####.####.#.####..#.#.#.#.####...................#.##.#.##.#.#....#.#.#####.###.##.###.#......##.#.##.##########.#####..#.##..#.##.####...#.##.#.#.#####.#####.###.####....##....##.###.##.#########.#####.##...#######...#.###....######
#.##.#.##.##.##..###.######.#.#######..#.#.##..##..#....###.#..#.###.##..######.##.##.##.######.....#.....#.#.##..#.###.####.#.##..##.####.##...#..##.#.#####.###.#.##...#.#....#.#.#.##########...####.#.#####.####.####.#.#####...##.##.....##.######.###.###..#######..######.#.#.##.#.##.##..#....##.....#.#.#.#..###..######.####.####.##.######.#.#..######.##.####.#####.###.#...##.#.###.##########..#.######.#.#..##...###.######.###....##.####.#...###...#.#.##.####.###..##.....#..#######..#.####.###.#.##.#####.##.########.#.###..#.#######....###.#.#...#.##.....##.#........###.....###.#.#.#.#.#.#...###.######..#....#####..##.###.#.##..#.#..#.#.####.######.#####.#.####.#.##...###.##.###.####.#.#.#.....#.....###.#.#.#.#.#.....######..##.####.#.#.#.##.#.#..##.....##.####.#..###....##.#.###.#......##.##.##.####.##.##..#.#....#.#.####.#.#...#.##...........##.#..#.#.##.........##.....######..##.##...###.##..#.#.#...........#.#####.#..#.##..#####.#.#..#.##.#.#.##..#.#...##.#####....#.......#######.#
#.##.#..#.######.##..##.#.#.#.#.###.##........####.##.#.##..##.#.#....#.##..........#.#.....##..#.#.#.#.#.#.###..##.#.####...#.##.##.....######...##..#.....#.....#..#####.##.#.###.#..........###..##..#...##....####.####.....###.#...#.###.##..##.##...#.####.........##.#.######..#.#.#..###.#.##.#..#.###.#.#...##.####.#.##....#.##...##...#..######..#.#.#.##...##...#.#...#.#.#.######....##..#...##.#............##..#...####.#####.#.##.#....##.#.#.....#.........###..#..#########.####.....######........#.....##.......#...#.#.##..######.##..##...###.#.#....##.##..#.##.#######.#####.##..############.###.......##...##....##.#####...#..#.##.##......#.#....##......#.####........#...............#.#.#.#.#.#.#.###...#######.....#.####...#.##.....###.#.#..#.####....##.###....#...####.#.##..#...#.#.##.#..#..#.##....#..#..#.##.#.##..........#...#####..#.##.#.##..######.#.##.#####.#..##.######.###.##.####..##....####################.......######...........####..#.#.##.##.#.####.##....#.######.#.......#.#
###..#.##.#......##.###.....#.#......######.#...##.#..#..##.#..#####.##.##.##.##.##.#.#.#.#####.#.#.#.#.#.#...##......##.###.#.##..##.##......#.#######.###.##.##.####.##...#.#...#.##.######.#####..##.#.#....##.......#########.#.#.#.#...#..##.....##.##...##.####.##..........##.##.####...###..#.##.#.........#............###.#####.#..##.##.###.#.####......#.#.####...#.###.#.#.#.#.###.#....##.#..#.#.#.####.###....##.####.....##..######.#.##..#.#.#.#.##.##.#.#...#.##.###.#.##.####...#.######.##.#.##.##.##.###.#.#####.###.#.###...#.....##.##########.##.#..#######.##.............#####.........##...#.##.#######.############.#####.####..####.##.#...#.#####.#########.#.#.#.#.###.#.#########.##############..##.#......###.#.##....#.##########..####.#.####....#.###...#.######....#######.#.###.#..####.#.####..####.###.########..##.#.#.#...####.#..##.##.#.######.#######......#######...##.....#.#...##..####.###.#.#.##.##.#.##.##..#.#.#..##.##.###.###.###.#..##...................#.#############.#.###.#
#...##..######.#.#....#.###.#.##.#.#........#.#.#..##.##..####.#......#.##.#..##.#..#####...#.###.#.#.###.##.##..#.##.....####.##.##..#####.###.....###...#.####.......##.###.#.#.#.#......####...#.##..#.##.#..##.##.###.####.#..#.#.#.#.#.##.#..#.#.##.###.###...######.#######..####..#.#.#...#.####..#.#.##.##.#.########.#.######....#.###...............###.####....###.#...#.###......####.##....######.#....#...#.#.##.......#.#....####.##.#.##.####.#.#########.##.##..........#...#.##.####.##.#.##.#######.####.###.........###..##.###.######...###...##..#.##.......#.##.##.#.##.#######...##.#.#######...##.##..##.................##.....##.###...#.#.#....#.....##.#.##....#######.###......#.####.###.###.#.##.###.#.##.#...###..##.#......#.######....###....###.##...#####......#.##...##.####...####...######.##.###.###.####..#..##..###.###.####.....########...........#.###.#.#.....#.##.###.#.######.##..###.....#...#..........#.#..##.#.##.........#.###..##.#.##..#####.#.##.#.#.#.##.....#......####.....#
###..##.##.....#.#.######.#.#.#..#.##.###.#.#.####.#...######..###.#.##############....##.###..##.#.#.##..##.#..##..##.####..#.######...###########.#...#####.####.######..##.#########.####.####.#####.#.##.#.##...#.#.#........########.######.##.###...##...#.#...#.##.......##.##.####...#.#.#....####.###..####.##.#...###......###.##...#.#.#.#.###########..##..#.######.#.###...#.##...##..##.#....###.#.#.###.##.########.##########.....#.#.#..##...#.....#..#####..#.#.######...#........##..#.#.##..##.#.#...#....##.##.########.##..##........#...#.###..##..####.#.##..####.###....#.#.########...##....###.....####.#.##.#######.#..##.#####...##.####.##.#...#.#.........#.###.#.#..##..##.#.....##..#...#.....#...#####..#.#...#.#####.###.##......###############..#.#######.#############....##.#..##..#...#.#...###.#...#.##.##...####.###..##......#.####....###.#.######.....###########.##.#.#.####.#.#####...###.###.###.##.###.#.....##..####.##.#.####...#.###......###..#.######.###..##.#.##.#.####..#.#.#.#
###.###..###.###.#.###.#....#.#.#######...#.#..##..#.#.#......##...#....#.#.###.###.####......###.#.#####.##.##..##.#.......##.#......###.....###.###.#....##....#..####..##......##..#.......##..##....#.#..###..###.....##.#####.##..##..##.....#...#.#..#.#######....##.#.####........###.#.#.#.#.##......##...##......#..#######...###..#.#######.........#.#####.##.....##.#..##.#.#..#.##########.##...###.#.##...#........#........#.#.#######.##..##.###.####.##.#.##.###.....###.##.####.#..#.##.#.###........#...####..##....##.....##....#####.####.....#############..####......##.#.....#....#####..###.##.#.###.#.#######.#########.###.....###.##..###..#.#.#####.##.#########..#.#.##..###.#.###..##...#...##.###############.###....##..##.##.####.....##.###.#..#.##....................###.######.##..####.....####....#.......#.###.##...#.####.#.###....#.####...###...###.#####.#.##.##..........#...#.###...########.......#...#.##.#.#######.######....#.#.#.....#.##.....##...#..#...#.##..#.##.###.#..##.###.#
#.....#.##.....#.#.#.#...##.#.###....##.#.###.####.#.#.#.##.#..##.##.#.##........#....##.#.##...#.#.##.....#####..###.##.#.##..##.#.#.....#.#......##.##.#....#.###....#########.####...#.###..##.##########...##...###.#.#####.##.###..##..##.#.##.###.#.##....#.#################.#.##..##.###.#.#.##.#.#####.#######.####.......##########....##...#.###.#....##.###..##.######.##.#.##.#..........######.#########.##.##.###.#.#.#.##......#.#.########...##............#...##.##.#.#..#....####............#.##.#######.######.#######.#.##.##.###.###.#..#.#....#.#....#######.####.#########.##.####.####.#.###..###.....#.....#........####...#.#..##.##.##.##.#.#....##.####.#...#.#.##.#..##...#.#...##..#.###.######.####.#.....##...###.###.##........#.#.###........##.##.#.#.#.##.#.###.###..........#..##.#.###.##......#.###.####.......###.####.##.#...#.##....#.#######.###.####............##.#.#.#...###.#.######..###..#.######.#######.#.#.##.......##.#.###.##.##.####.#.####.#...####.#########........######..#
###.#.#.#..#.#.#.###.###.##.###...##....#..##...##.#.#.####.##.##.#..#####.#.#.#...#.##..#.##.###.#..##.##..##.#.###...###.##.##..#.#.#.#########.##..#..###.##...##.#.###...######.##.##...##............###.#####...#.#..##.#..#..##.###.##..#..#..##.#####.#............###..#.###..####...##.###.##.#.....#......##....###.#.#####......#.#.#####.#...#####.###..##.###....#.######.##.#.######.#.###.####......#####.#...#############.##......###.#####..#.#.##.##.#####.###..#...#.#####..#.##.#.#.#.##.##.#####.##........######....#.##.#.......#..#.##.##.#.....#.##.##.....###...#.#.#.####.#.......###.####..##.##.##.############....###.#######.#......#.#.##.#..#..###.#.###.#......#######.#.#..##.#...#....##.........###############...##.##.#.########.#.##.#########.#.#..#.#...#...###.#.#.#######......#..##.#####..##....##.######.#...#...###.######.##.....###........#.#.########.#..############......##.#.##.#.##....#.###########....##.###.#########.#..##....#.#....#.#.#.#.#####.###.#..#.##.#...##.##.#
##..########.#.###.......#####..#.#..#.##.#####.##.###.#....#..####.###....#.#####.#######.##...#.#####..##.##.....##.####..#..######.#........#########...#####.##..#.....###..#.#.#..##.####.#.#.#.###.##....##...###.##......##.##..#.#.###.#.######.###...###.#.########.#.##.######....####..##.##.#.##.###################.......###.######...###.#..#.#####..#####.######....###.####.....##.#..........#.##...#.###.#...#.....##..#..#.##.#........##.##.###..##....####.#.##.#.#....###....###.#.#..#.##..........#.##.#.###..#########.###.#.#...#####.#####.####.......###...#.#.....#.##.#.#.########....#..###.##......#.###.#.###.#.##........#.##.#######.####.###........##.#.#.##.......###.#####...###.##....#.#.##.####........##.##.########...#.##...#.#####.##.##..###.######.######..###.......#.####.#.##......#.####.#.######....#.#...#..##..#...####.###.....######...........########.#.#.###.#.##.####.........##.#.#...##.##.##..#.##...#####.#.##.####..##.#####.##.#.#.#.....##..#.#...#######.#.....###
#..##....##..#######.#.#.#.....#######.#......###....#.####.##..##....#.##.#.#......#.###..###.##.#.....##..#..#.#.#...#.#####.#......##.#.#.#.......##..#....######.#.#####.#.##...##.##....#.###.#########.#.##.#..##..##.#.#.....#.##.###.###....##....###...#.#..................#####.##....##..##.#..#........##.####....#.#.#######......##.####.##.........##.###..#.#.#.####.....############.#.####.##.####...#####.#...#.#..#.##.#####.#.#.######...#...##.##.####.#..#..###.##.#...##.#..##.###.##..##.################.#.##.......#.##..###.#...#.#...##..#####.#.##...##.##.##.##....#.....#.##...##.###.##.#..##.#.#..........##.#..###.#.#.####........#.#.....##.###.##......#.####.#####...###.##.####..#.##.###.##......###.##....##........#.#......#####.#.#.....##...###...##......##...#.##.##.#....########.#.#########...##...###############...#..##....#.#.#......##.##########.#.#...............###..#.#####.######...###........####..###.#.#.......#.#######..#########.#.##.####.....###.....#.##.######
##..##.#....##...###.#.###.#.#..##.....#.##.######.######...##.####.#.#########.#.#.....##...#..####.#.####.##.#.#####.......#.##.##.##..######.##.#.#..###.#.....##.#..........##.###..#.####..##.......#.###.##.#.##..##..#.#.#.###.....##.###.#.####.#..###.####.##.##.##.##.####.....######.##..##..##.#.#.##.#.......#.########.##..#.######.....#.#..#######....#.##..........###.#.#..........#.#....#.####.######...####.#####....###...#.#.#......#.#.##.##..##........###...####.#.###..#.##....#..##.##..###.....#..#.#....##.###.#.#.###...#.#.###.#######....##.###..####..###...##.#...#.#......###...##..#.#######.####.#.##.######..####.###..##.###.#.#.##.##..#..##.#####.#.#...##.....###......#....#.##..#.#####..##.#..####..##..#.#.##.#.#.#.#.##.....#.#...#.#.##.####..#.##.#.#######.###..#####.####.##.##.#..##.##..###..#.#####...###.#.##..############.#.#.##.######.####.......#.###.#.##.##.#...##.......#....########..#.##.#......####...#.#######.........##.#.##..#####..##.#.###.....###########...#
#..#######.####.##.###..##.#.#.####.##.#..#.##.......##...#.#.....###.##.##.....###.#.###..#.#.##....#....####.#....###.##.#.####.#..##.###.#.######.##...#.#.#.###..##.##.#.##....##..##....#.##..##.#.##......#.#..##.##.##.#.#.....#.#..#...######.###.##......#..#..#.#..##..#.########..##..######.##.###.##.#.##.#.##.#...#.##.##.##........########......#####......##############...###.#########.#.#..##.........####.###...##.#.....#.###.##########.####..###.###.##...#.#....#.#...##.#..##.#.####...##.....#.#...##...####....###.#..##.###.#.......#..##.##..#..###....##..##.####.##.######.####...#.##.##..#.#..#..#####..#.....#####.##.....##....#####.#..##.##.##......#.#.##.###.########.#.###.##.#..#.##...####..#.##....##..#.####.##.#.#.#.#####.####...#####.##.#.#..##.##.#.......#...##....##..........#.##..#.#..#####....##...###.#....##...###.....##.###.##.....#.......#.#.#.....#####..#########.#.########........#.##..#.####.#....#.###.........###.#.#......#..##########.#.#.##.#######.##.#...###
##..#.#.##.##.......#..##..#.####...#..#.######.#.####..#.#.##.##..####...###.#.##..#...##.#.######.###.#####..##.###....#.#..##..##.##............#.###.##.###.#.####..#..###..####..##..####..##..#.#..###.#.####.##..##########.#.####.##.####.#.#.#####..#.#############.###....##....#.####.....##..#...#.##.#########.#.###..#.....#.#.#.##......##..#.##.....#.##.#............####.##........##.#.#.##....##.#######...##..#.#..#.#.#.####.........##.....####.....#.##.#.#.##.###.#####..##..#.#....#######.#.##.#.#....######.######.##.##...####.####...###.##.###...##.########.#.....#....#####..#.#####...##.#...###...############.##..##.###..##.#.....#.#.##...###..#.###########.#..#.#...#.#...#..#############..#.######.####.####..#.##.#.#.####.#####...####.#######...#####..#.##.########..#.##..#.###.#.##..##.....##...#.##....#####...####..#.....#####...#######.#.#.##################..##..#####..#.######.##########....#.##..########.......#.#.##.###############.###.#..##.#.#....#..............#...#
#..##.......##.####...##..######..#.##.#.##...#.#....##.######..#.##....#.....#.##.##.######.##......##..##.##.#...####.##.##..##.##.#..###.#.##.#####....#####......##.##..###...##.#########.##..##.##.##..#....#..##........##..###.##.....#...........####........##.##...##.##....#.##...##.#.#..#.##.#.#.#........#.#...#.##...#########..#.##############.####.##.##.#.#########..#..#.#.#.####..#.#..##.#########....#....##.#.####.#..##..##.#######.#.######.#.###..#.#.###..##......##.###.####.#.....##..######.####.............####.##.####.#....#.###.######.#####.........#.##.#.###.#....##.##.#..####..#.#.#######...###..#..#.....##...#####..#.#.#####.#..#...####....##...###.##...#.###.#.####....##.#.##....####.########.......##.#..###.##.#.#.#...#...#...###.#..#.....##.#.##...#....##.####.##..####..#.####.#.###.#######.#..#....#..##..###.##.....#####.#.#######.#.#.###..#.#.......######.#.##....#.........##...##########.....####.#.#############...##.#.####........##..#.#.#####.#.#######.#####.#
##..##.###.##..##...#####.#.#..#########..###.#.#.##..#.#......####..#.####.#.#.##..#...##...##.#.#.##..##.....##.##.##################...#.#..#...####.#...#.#.###.##...##..##.#..#.##..##..#.##.###.#...##.##.####.##.#.####..##......#.###...#.###.#.######.####.#.....###..###..######..#..#.#.####..#.#.#.#.##.#.#.....#...#..#.....##.###.#...###..##...##....#..#..#.#.......##..#####.#.#......############.#.....#.############.##.#.##..###.......###......#.#...##.###..###.##.#.#######......#.##.##.###.....##....#.#.##.#.#.#####.####......#.#.##................##.########.#..#...#.#.##.....#.#.##.###.#...##.#.######.#.##.##.###..###...#.##.#.###.##..##.#.#...##.##....###.#.####.....######.##.#.........##.#.##..##.#..#.#.##.###.##.##...#.......#.###...###.....##.#.####.#..#####.#####....#..##...##.####.#..#........##.#.##...########.##...####.#...##......##.##.#.#...##...##.######..#.#.#.##.####.##.#.#####.###.......###.####..#.#......#.#.##...#.........##.#########.#...###.######..#.####.####
###.#####...#.#####..##.....##.......##..##.....#..####.###.##....##.###....#.#.#..##.#####.#####.#.##.#########.......#.###...#.##.....#.#.#.##.###.#..#.#...#..#####.#.#..##..##.#####....##.##...####.##..##....#.##.#....#.####.###.#...##.######.###.........#.#.#############..#.##..##.####....#.##.#.###.##.######.##.#...##.#.#......#.#.###.##.#..####.#.##.##.######.#####..##...######.#.#...###......#...##.##.#.....#.......#.#######.#.#.#.####..####.#.##.###..###...###..#.......######.#..#.#....##.#####.#.####..#######........##.#.########.##.#######.##.##........#####.##.####..#.#####.#..........####.....##.............##..######.##.#..##.###.####.#.#.#..##.####........##.##..#......#.#.##.##.###.....#.##....######....#.#...###...##.####..#######..##.########.####....##.....######.##..####......##.########..#.#.#..#####....#.##.#..#######....####...........#..##.##.....#.#.##.........#.#.########.#...##.####...#...##.##.#.##.#........#####.#.#.###..###.#.##....#......#.#.#.##.##......#
#####.#...#.#.#.###.####.#.#####.#.#....#####.#.##..#####...#..####..#####.####.#.###.....###.....#.##.#.........##.#.##.....#....##.#.##.#.###......#.##.##.###..##.###.#.##..#######...#######..#.##.#.##.##..######..##.###.#..#..#####.###......#.###.#.#.#.#########........##.##....#####.###.#.#.##.###...##.##..##..#.#.########.###.######....#.#.###.###.##.##..##.#####.###.##.###...####.#.#..#..####...#######...#.#...##.#.##...##.##.###.#....##.###..###....##..##.#..########.###########.#####.#.##.....#.#....#####.#.#..##.#####..#......##..##......##..#..##.#######.#.###..#.###.#....#....###.###.###...###....####.###.########.......####.....##..###.#.####.##.#....###.#####..#.##.##.###.#.#####..##.#.#...##.##......##########.###.####....##.........#####...##....#.##.#....##.###...#..##....#.##.###.........##...####.......##.#..#.##....#.###.#...##.##############.....#####.#.##.#######.......####.#...#....##.#######.....##########.####.....#.#.#...#.##.#......##.##.#.#..........#..#.####
##.#....#.#.###.#...#..###.##.####.####..##...#####...####.###....##.#.....##...#...#.#######.#.#.#.##.#.#.#.#.######....#.###.#######.##.#...#.#.##.###...#.#.##..#...#.#..##...###...###...######..#.###...##...#.###..########...##.#.###...#.##.#...#####.#..#.#.#....#.##.#.##....##.##.#...######..#.##..####....##..##.#........#####...#.###.###.#...#.#####...##......##.........#.##.##.#########.###.###.......#.###.#.###..###..#........##.##.###....##...######..###.##........#...........#...##..#.##.#.#####.#####........##...####.##.#.######..##.#####..#####..........#...##.....#.#.##...##.#.#####.....#..#####....#...#.###......#.#.####.#.#.#.###...###...##.#....##...###.#.####....##..####.....#.###.#.###.....######..##...##...#....#.##.#..##.##.#.###.###.###..####.#####.###......#.#.##..#.##.####...#.#.##.##..###..#.##.#####.#.######.#.....#.#.####.........##.#...###..............#.#########..#.#.#.####.#.#.....#.###.#.###.##.#.##....##.#.########........##.#.##.####.#.###.##.#...#######
#....#.##.####....#...##...##...#####...##..#...#.###...####.##.#.##.#.#.###..#.##.####.#.#...#.###.##.#.#.#.#....#####.########...###..###.###.###....##.##....##...#####.##..#.....#.....#......##.#..##.#..###.....##......#.###........##.#########....##.####.....##.#..###.#..#.##.......###.#.#..##..##..##..#.##..#####.#.##.#####.#.#....#........#.....#########.###....##.######..#.#........#.#.......##.#.#.##...###...##.#######.###.#.##.##...###.##..#...#######.#.##.#.#.##.#.#.###############.#..#.#....##.......###.#.#####....#..###......####......####.###.##.#####...#####.#.##.#.###.##.....#..#.######.#.#########.##...##.##.####......#####...###.#...#########.##.#..##.#.##.#.##..##..###.##.####.###...#.#.#......##....#..##.###.#...##.##.##..###...#.#.#.#.##.#.##.#..##.###.#.######..##.#..#....##.##.########.#.##...##.###.###...##...#.#####.#....#.#.###.#......#...#.###.##.#.#.#.....##########.#.#.##.###...#.###...#.#...#.......#.#.########..#####.#.##.###.#.#....##############.##.##..#
###.##.#...##..##.##.####.##..#..###..#.###.#.#.....#.###....#..#.#..#.#.##..##.#.........#.#.#.###.########.##.#....##......##..###...##.....#...##.#.#...##.####.#..#.##..##.#.#.#####.######.#.##...##..####...#.#####.##.##.....#.#######.........#.##.#....##.########.#######.#####.##.#.......##.#####..####.#.###.....#.#..#..##.#.###.##...#.#.#.##.###.......##....###.##.........##...#.#.####...##.#.##..#.#..###...###.##......##...#.#..######...#####.#.#.........#.#..######.#.#.......##.##..####.##.#.##..#.#.#.#...#.#..##...#.###..###.######.##.#.#......#.####....####....##.#..#.###.#..#.##.##.##......#...........#..#.#.....#....##.#.#.....#.#...#.#.#.....##....##.##....#....#.##.###.##.#########.####.##.####.#######.#########...###.##..#####..####..........#.#......##....###......##..###.##.####..##......##.....###.##.......##.####.##.....#.###.##.#..##.#.#.#.##.###...###..#.#.#.#.#........#.#.#.#......#####..##.#########.###.#####....#.#.##..#.####..###.######.#............##......#.##
#....#.#.#..#######..#.######.##.....####...#.##.#.##.##..##...##.##.#########..#.#.#.##.##.###.#...#.#.#.#...#.#.#.###.##.#..#.##.###..#.#.#############.##.....#.##....#.##..#.#.....#......###.###.########..#.#.....#.######.##.#.....##..#########..#.##.#....#......####..#.#.###...##.#.#.#.###....#.##...##.###...##.####.#####....#######.######..#...#####.#####.#...#.#..##.####..#.#####......#.######..#####...#.#...#####.##.##########......######..###.##.###.#.#####..#.#.#######.###.......##.##..#.#..##.#.###.#.######..#####..###..##.##.#.#..########.#....##..##...###.#..#.##.#####...##.##.....##.#.#.#####.########.###.#.###.#.##..#.#.#######.#.#.#.#.#.#..#.#.######.##...#.##..#.#.###..##...##.#....#..#..########.#####....#####..######.....##....#####.##.#.#...#.#.#####.#####.######.##....#.##...##..##.####.#.#.#####..###########.####.##.##...#..#.#.###.#.###..#...#.#...##########.##.#######.#.....#######.##.###.#.##.#......####..##.###...#..##.#.##.###...#######.#.##.#.###..#.#.##....#
##.#.#.#.#.####.....##.#.#.....##.#.#####.#.###..#.######.####..#..####.....##.####.#.##.##..##.#####...#.###.###.#.#....#.##......########.##.#....#..##.####.###..##.#.#..##.###.##########..####.#...####.##.###.##.##....##..#..##.##..##.......###.##.##.#.#.##.##.#....##.#.#...##.###.#.###...##.#.#..##.###..###.###..##........##.....#.#.....##.####.....#.....###.#.#########.###....#.###.##.##......####.####.##.#.#...##..##...##...#.#.#.#.###.##..####.##...#####.####......#..###..####.#.#.....##.#.####..#...#.#...##.####...####.#.###......#.###.....##########..###...####.#.#...#..##.###.###.#.#####.#...##.....##..#...#############.#.#......##.#.#.#.#.####.###.#.###...#.#.####.##.....##.#..###..#.####.###..#.#.........#.#.##.....##.##.##.######.#.....########.#######.#.#.....#......#.##.##.#.#..#..##..#.##...#.#.....##....##.#.#.#.##.####.##.###.##.#...#.#########.##.#.#....##...##.##..######.#.###..#.#.#...####.........##.#......#####.#.###.###.#..#.....#..#.#.######..#...##.###..#.##.#
#..#.#.######.###.####.....########..##...#..##.##...#.#..#....#####....#.#.....##..#..#..#.##..#.....#........##.####.#.#..##.#.#......##.......##...###..###...##..#.####.##...#..........##.#.#..##.##........##..#..##.#..#####..####.###.#.#.#...####..###.#.....#########...#.###....#.######.##..#...##..#.####.....#.###.###.##..#.#####...#.#.##.#.###.#.###.##...#.#..#.###.#....#.##.....#..#..##.##.##.##..#.####.#########..#.######...#.#.#.##..##.##..#..#.#........##..#.####.##.##...##.#.###.######....##.##.##.#.#.........#..##..###...#.##.......######.###...##...##.###.#######...#####.###...#...#######..##.##..#.####........#.#.########.#.#####.#.#.#..##..##..#...##.##.#....######.####...##.##......#..#####...##.######.########........#.#...##.###.#.##.##.##.#.##.#....##.##.#.########...#.###.###.#..##.###.####.#.#######.............##.#############.#.#..##.....#.####.##.#....########............##.......#..#...#.###.#..#.###.#.######....##.#.....##.#.####......##.###.#.########.####..#
##.######......##.#..####.####.#.#..##..#.##..#.#..#...#######....####.#####.##..##.##.####.##.###.#.###.#.#.#.##...##.######..####.#####..##.#.##..#...##...#####..#########..###.#.#.#########.#.###########.#.##.###..#.#.##.....###.####..#.#####....##.#...##.#.##..####.#.###.####.#.#####..#..####.#..##....###.#.###...########.##...#######.###......#.#.#.#####.##.##.........#.##.##.############.##..#..##....##...#.##.######..##.##.#####.#..##.......###.#.##.#.#####..##.........##.######.##...#...##.#..###...#.####.###.##.##..##.###.######.#.#.#......#.....#########......#.#..##.##...#.#####.###.......#.#######....####.#.###......###..#######.######.##.###..##...#..#..#.#.#####..##......#.......#.##.##..##...#######.#.#.##.###...#####.##...#.#....#.#.....#.##........#.###..###......####.##..##.#.####.#...##..##..#.......#.#####.#######.....###..#.##..#.##....###.#...#####.##.#..##.##.##.##.##.#.#####.#########.#########.##.##########.##.###..##.##########.#.#.##......#.#........###.###.#
#..##.#.######.#####.#.##.##.......###.##..##.####.##.###......#.##....#.....#..##..##....#.##.#.#.#..##.#.#.#..#.#.##......##..##......##..###..##.#.#..###...##..##.##.#.###...###.#.....##.##....#.#.##.....#.#..#.#.########.##......##..##.##.########.###.##.#..##.........##....#.#.......#####.#########.#...#.#...#.#........#..#####.#..#####..#.#.######....#########.##.##.#######.............#####...##..#.###.#...##..#...####........#######..##.##..##.####.#....###.#..#.##.#.##......####..#...####.########.#..##....#.#...##......#.##.#.########.#.#...#.#..#......###.##.....###.#..###....##..##.#.#.#####..##...##...####..##.#.##...##.#.#.#.#..##.##..###.#.####.##.##.####.......##..#.#.#######.#########....#..##.#.....#..#.#.#.#....##.###.#####.#.#####.#....#.##########...#######.#....###..#####...####.#.##.####.##.#.##.#.....#.........###.#.##...###.#..#.#.##...#.#.....#.##.##.....#.##.##..#.#....##....##.###.##......######...##.##.........##...###.#..#..#.#..##.##.##.#.##########..####
##.#.......###..##.#.#.....##.##.#.##...##..#.##....###.####.#.#####.#.#####.##..#.####.###..#.#...#.###.#.#.#.#######.######..##..#.#.##..####.###.###.##...#.###..#.#......#.#..####.#.#.......####....####.#####...#........#..##.######.##.......#..#.#######..##....#.#.##.##..######.#.#.#...###......##...#.###.##.##.##.#.#.#.##..##.#.#.##.#.####.#...#.#..####.#.##..#..#.##.#.##..######.#.##.#..##.###....####.#######..##.###..####.#####.##....#######..#.##.###.##..####.##.##.#..##.#.#....##.###....#........###.#####.##.#############.##.........##.#.##.##.##...####...#.#..######....###..#.###.##..#.####....####.##..###.##.##########............##...##.....####.#.####..#.##.#.#.#######.#.......#...#.##..##.######....#.###.##.#.###.##..#...#...#.###....##.####.........#.####.......###.#.########.#..###....#.##....#..#.#..#.##.#########.##..####.#..#..##.#.##.#####.##.#.##.####..##.#.#....#.#..####.#.####.####.#.#....#.#####.##..###...##.###.##..##.##.#...##.#####.##..######......#.#.#.##.##
#..#######.#.#.###.....#.#.##.#..###..#..##.######.##........#..##...#.#.....##.##.#.....##.####.#.#.#...#####...##.......#.##..##.######.##......#.##...##.##...##.....###.##.#.##.##.###.#####...##.####.....##...####.#.##.##.##.......#..##.#.##...##..##...##.###.#.###..#####....##..#####.###.#.########.##.###..#.####..###.#..##...............##.##.##.#.###.#......##.##..#....#.#########..####..#..###.#...#......##..##....##...##....##..###.##...#.##.#......#####...##.##.##.##.##.###########...####.#.###########.....#####...###.######.##.#.#######..#..#.##.#....##.#####......##.###.##.#.#....#.##..#...#.###.#..##......#...##....##.#######.####..#.#..#.####.....#.###....#.###..##...###.#.#########.#..##...#.###.##.#.#.#.##.#.##...#.###.##.#.....###.##..####.#.#####....#.##.#.######.####.#.#.#.#.######.##..#.#.#######.####..........#####...#....#####..#..#####...##.#.##.#..##..#.###.#######....###...##..........#.##....#.....###..###..#########...#...###......###..###.##..##.#...........#
#.####.....#.#.....#.###.#..####.######.##..##..##..###.####.##.##.#.#####.#..#..#.##.#.##########.#.#.#....##.#.###.#.##...######..#.##...###.#.##..##.##...###.####.#...###..#.#..##.##......###....##.####.#####...##############.#.####.#####..##.####....###...##.####..###.#########....##...#...######.###....#.##....##..##.#####.##.###.####.######.......#.#...#.#.##...##.#.##..........###....##.#.##.####.##.##.#####..#.#####.###..##..##..##.###.##.#####.#.####.#..#.##.####...#.##...#####...#.#....###.........#.###.#..##.#.###.....###..#######.#######.##..###.####..#...#.##.###.........#####.##..##.#.#####.#.#.##..##.###.#....####.......##.####.#####.#.##.#####....#####.#...##....####..#........##...#####...#.#..#####.#.......#######.###..####.####..##....#.#...###.##....#.#......#..#.#.#............###..##.#.#.....###....#.#########.##.#...#.###..##.######.###..###..#...##..##.##......#.##.#####.#.##.####.#############.#####.##.#.##....##.#...#...#####.############..###..#.#.##.##.#.###
#.#....#.#...####.####...#.##.......##...##..##....##...##...##.#..#.#.....##.#.##.####.....##.....#.#.##.#.##.#..##.#.##.#......##....###.#...#####..#..##.####..##..#.#...##.#...###.###.###...##.#..#.#.####.#...#.#.......#.##...#....#....##.##...##..##...##.##...#.##.......###..##.#.##..#...#........##..#.##..###.##..##....##..##..##....####.##..#.#.###.#.########.#..#.#.##.##.##.##.#.#########.......#....####.#.##....#.#......####..##..............##.#......##.#.#....########..#.....##.##.##.#.########.##...##..##..........#.###.##.#.#.#....#.####.###..##....##...#.#..#...###.##.##..#.#####.##............############.##.######.#.#.#.##......#.#.#####....##..##.....#.#.##########.##.##.#######..#....##.#.....######.#.###.#...........##....#....#####.####.#.#.#.#####.#.###.#########.#.#.######.###...##.####...#.#.####.#.#...........##.##.##...##..#.##.#...##..##...##.###..###..#.#.##...##.....#####...##...###.#....#.................#####.#.########......##.#.....#.##.#.####.##..###...#
#.##########........####.#####.##.#########.##########.#####.##.#.#######.#####..#.#.#..#.########.#.####.###..##.##.#.#..##.#.#..####.###.#.#####...#####.....##..##.#.########.###.#..##..##.###..##......###...#.#...#.#.#....##.###.####.######..#..##.############...##.#.#####...###.####.##.#.###.########.#####...#..#.####.#.#######.##.##.......#.####.......##.....###.##.#.##..#######...###.##.##.##.#.##.####.##.#.#..##...#.######..##..#.##.#.#.##.#.##################.#........#####.##.....#.##.#........#.##.#.#..##..#.###.#.##..##.#........##......#...##..###.##..#.###.##.########..##.#.#.#.###..#.#.#########.#....##.###.......#.###.###..####.......###.##.#..##..#.#####.............#..#.......##.#########.#.###..#.......#.##.#.#.###.##..#.##.##..###.....#.#.#.......###..##.....#.#...#...#....#..##.###...###########.####.##.##.########..#.#..#..#.##......####.###.#..###.##...##.#.#..##.#####.####.###.#####.......##...####.###.###.##..#.#.......#.#.#.######..#.###......#...##.##.###..###
#.#..........##.#.#..##...##.###...#.##.....#.##.......#......###.#.#.##...#.##.##.#...##.##.......#..##....##..#..#.#.##.##.#.##....#...###..##.#.#.....##.##.######.#.......##.....#.####.##...##.##.#.##...#####.##.######.#.##...##...##......#.###..#.#.......#.##.#..###.......#...#..#.#..#.#...#...#...##..#..#.#.#.##...##.#......##..#..#.##########...#.#.#....#######..###..##.......###...........####..###....##.#...###.#........##..##...####.#..#.#..#.#..###.#...##...##.#########....##.#######.##.##.############.###.#..##.#####......###.#####.##.#.#.####.#######.##..##..#..##.###..###.........####.#...........#.####....##.#.#.#####....##....#####.###....#.#.####.#...###.##.###.#.#.#####.#.#####.....##.###.#...##...##.#.#####.#######..##.########...##.####.#.#.#.###..##.#########.#.###.###.##########...#.#.....##.##..##..##.##.##.....#.##.#.###....##.##.###.###.#.#####...#.#..#####.###...##.........#.....##.#.#.######################.....##.##.#.#....###.##.....######.#.#..#..###.######
#.##.##.#.#.##..#.##.###.###..##.#.#.##.##.##....#.#.#.#.#.##...###......#.#....#####.##..###.##.###.##..#.###.##.####..#.##.###..#.#########....###.#.####..#....##..#.###.#####.#.##....#.#..###..####..#######....#....#####..##.##..#..##.##.#######.....#####...##.#######.#.#.###.#####.####.#.#.###...#####...##.###.##.#.##.############.##..........###.#.#.##.###..##.######.##..#.#.#####.###.#######..######.#.##....#...###.######.#..##..#....#########.....##.....#..##.###......##.###.##......##...#..#.........##....##.##.#......##.#.#...#.###.#.####.#.##.........#..##..#.#####..#.#.##...##.#.#####...#.#.##.######....#.#####.#.#.....#.#.#####.##..#####..##.#.########.#.#...##.#######.....#.######..#####....#.#.#....#..#.#.....####.#..##.##.......#######..#########.#########....##...#..##.........############.######....####..#..#....##.##########..#.#####..#.......#####.#.#########.##...##.##..#.#.#.#####.######.###.#####...#...##.....#.#.#..######...##........#.#....#######.##.####..###.#
###..######.#..#######.....##....#....#.#..#..#.##.#.#.#.#.#..#...##.#.#.#.##.#..##....##...###..##..###.#.##..##.#.###.#.##.##..##.........##.####..#....##.########.#...#....##.#####.######...##....##.......##.####.#.....####...##.####..##....#####.##.....#.####...##.##.#.#..##.#.##.....#.#.#...#.#.....##.######...#####.............#..##.#.##.#####..###..#.....##...#.#.#..##.#.#.....#...#.........###.#.#.#####.#####.##.......#...######.##...##.###..######.##.##.###...#.#.#####...#..##.##.####.##.##.##.####.##.##..#..####.###.##.#.##.##.....#...####..#.###.#.####.#######.####...####.#..#.#.....##.##.###.........####.....#.#######.######.######.#.#.##.####.##.##.######.#.##.....####.##.#........####...######.#.##.#.####.#.####.#...###..##.######.....##.#..#.#.##....#....##.###..#.#.###.###.#.#...##..#####...##.#..#####.#.##.##.#######.#.##...##.###...##...#####..#.......#........##.#..#..##.#.###.....#..#.##............###.###..#######.######.###.#####.#.#######.###.##.########.#.##...#
##..##...####.####..####.#####.#.#.#.#####.#.#####.#######.##.##.#####.#.###..#.###.#.##..#.#...####...###.##.###....####.##..##..##.#.#.####.....##.#.#.###..####.##.#.#.#.##.##.##.####..#.#.#####.###..#.#.#.##...##.##.##...###.##...####.##.##..##...##.###.#####..#.....###.#.##.......#.#####.#.#####.#.#.#.....#.#.#...##..#.##.##.#.#######.#..#.##..##...#.###.#.####.##.#.####..###.#.#.##.##.#.###.#..........#.#......####.########.##...##.#######...##.........#..#...#####.#.......#.#.##...#...##..#.##..#..######.##.###....#.######.#..#.####.#.#.#...#####..##.#...##......##.#.#..#....#.##.######.##..##...##.#.#.##......#.###...##..#.##.#.#....##..#.#.##..#####...#..#######.#..###...#######.#.#.##....###.###.#########.#.######..#.#.###.#######...#..########.##.#.###.#...#.##..#.#.####.#.#.#.#########..##..#..###....##...#.###..##.....###......###...#..#.#..#.....##...#####...######..####.##.##.#...#.######....###.####.#######.#.##...#.######...#........######.###.####......##.###.......#.#
#..##..#...#...##..##.##..##...#.###...##..###.#.....##....#..####.....#.#...##.##..#..##.#.###.#....#.##...####..##....#######..##..#.#....###.#..#.#.#...##......####.#.#..#.##.........##......##...##.#####.#..#..#..#.######....###...##.##..####..#.#..#######.#.##.#########..#.#.#.#.#.###...#...##..#.#######...###.###..##..#..#.#.##....###.##....####.##.#.###.............###..##.#.#.##.##.########.#.#.#.###.#.####....#......#.#.#..#.##...##.#..####.###.##.#####.#..########.############.#######.###..###......####.##..##.#......#.#.##....###.#.#.#..###############.#.#####.#...#####.#.#.......#########.#####.#.##.######..######..####......####..##.#....##.##..###.##.#.######...#####.#..##.#.#..#.##...........#.#...###...#.##.##........#.#.###.##.##.##.##.......#.##########.##.....##...#....#.#.##.##..##...#####.#....#.....##.##.#####...####...###...################...#####.##...####..######..#.#.#....##..#.##......#####.#.#.#....#......##..###.##.#####.#.##..#...#.##.###......##.###.####
##.#..####...#####.......#####.###...#..##.##..##.###########.#.#..#.#.#.#.#..#.#..##.##..#.##..###.##.###.##....####.#####.#...####.####.#..##.##.#.#.##.###.#.####..#.#.##.####.###.########.######.##.....####.######.#...####.##...#.####..##....####.##...###.#.#.##.........#.##.#####.#...#####.#####.#...#####.####..####.#..#######....######..#.##...##.##....##.##.#.####.#...#.###.#.#.##..#.##.....###.#.#..........#.#.##.####...#...#######......##..#...###..#.#.####.#...#.##........##.##......##...##..##.#.#####....##..###.#.#.##.#..##.#######.####.........#.....######..#.#.#.....######.####...#.##.##.....###..#....####..###.#.##.#..####...###..#.#.####...##.###........##...#..##.....########.###..##.######.....#.##..###.......########.#.................#.###....#.#.#.##..#..#.####.###.##...#..#..##.##.###..#..#.#.##.##.#####...##.##.#####.#..##.###.##..##.#.##.###.##..#####.####.##...#.#####.#.#.#.####.#..##.#.#.............#####.#.#####.#.#.####........##...#....#...##.######.#####.##
#####..##..#....##.##.##.##.....##.#.#.##...##....##.#.###..#.#...####.#.#.#.#####.#...##.#..##.#....###...##.##..##..###.#.#.####......###.##...#.#.#.##...#.#......######..##.....#.....#.##.###.#..##.#.#..##......##.#.#....#.#..#.#....##..##.#..##..##.#.......####.#.##.##########.####.#....##...#.#.###.....#....##....####...##....##......#.##.##.#.##.##.##########.####.#####...#.#.#.##.##....###...#.#.#.#######.####..#....#######.......##.#######.########......#.###.###..##.##.#.###..##.###.#..#..#######...#.##.####.####.######.#.##........#...###.##.#.#...######.#.#.##.#.########.##.....#####....##.##.####.##.##...#####.#........#########.#.##........####.#.#.###########.##....#.#.......##...##..#....######.##..#.##...#.###.....#.#....##.#.##.#.#####.#...#.####......##.#.######.......#####.##.##...#.#.##...####..#.##.....###.....#.#...#.##..#......#.###........####.##.#.#..#.#..#.#.#..###..#.#.###.#######..#.##.#.#.#.#.##.....######.............###.##....#.#.##...#..###..##......#..#
###.#########.#.##.##.##.##.#.#..###.#.###.####.####.....##...###.#....#.#.#..##...##.##..#.##..###.##...#.##..##..##.......#....##.#.####...##.####.#.#..#####.##.#......##..###.###.#.#....#.....##..###.####..#.#.#######.####.#.##.#.#.####..###.####.#..###.#.#.##.#.#.#...............#####.###..###.#..##.##.##.######.#####..####.#.###.########...######..#..........###..#..########.#.#..#######...##.######......####.######.####.#..####.#.##......#.#.##.##..##.#.#....#..####..######...#.##...#####.##...#.###.###.######..##.#......#.#..###.##########.###..#.###..........#.........#.....###.##.####..#.##..##..#.###...##.##.#.#...###.#.###....#.#.#.##.#########.#............##...##.#.#####.#.#.##..#.###.##.###....#..##......#.#..##.#####...#########..#..######.###......#######.....##.##.#.##........#..##.##......#...###.####.#######.#.#.....#########.##.#.....##.##.##.............##...##.####...####.#......#########..#.#.#.#.#..#####..#.#.#.#####.#####...###..##.#.#..##.###..#..##..####...##
##............#..#.####...###.##...#.#...#...##.#....###....#.#...#.##.###.#.##..#.#...##.###..##....##.##.##.##..####.#.#.##.##.#..#.##.######....#.#.##..##....#.####.#########...#.#.#.#.#####.####..##....#.##.####.#..#..##..#..#.######.####....##..##...#.#.#....#.#.##.##########.#.#.#.######.##..#.######.##...##.#.###.##....#.#...#......##..#...##.#####.###.##.###..#####......#.#.##.......#.####...#.##.##.#........##..........#######.###.#.#........##.############.##.##.###...###...##.#...#.###..#.....#..........##....##.#####.#.##......####.....##.##...###.##.#.#...#.##.####.###..##.#.......##..##..##...####.##.........#######...#.####.#.#.....###...#..##.##.####.#..###.##.#..############.#...#.##.....#########.########.##.......#.....##.##.###....###...#.###.#####..#.##.##.....###..########.##.....###.##.#...#....#...##....#.##.#####.#.#######.#.#.###..##..#.#########.####.###...##..###.####.######.#....###.##########.....#.##.........####..###...##..#####.#####.#.##.####....#.####
#..##.###.#.#.#.##.#....#..##..###.#.#.####.##..###.##...##.####.##.##.##..#..##.####.##..###.#####.###.##.##..##..##..#.####..###.##.......#.##.###.#.#..#####.######.......##...#########....#####...##..#.##.#.........##.###.##.##....##...######.##.###.################.....#..######.........##....#####.#.#..##.##......#.###.###.##.##.##.#####.#.####.####....#.#......##.#...########..##.##.#####..#.#....#.#..#.##########.#.###.####...##..####.##.#.###.......#.#.#.........#.#...##############....##.###.######.#.##.###..##.##.....#.#..#.#.####.#..#########.#..##.##.####.##.#........#####..#.###.#####.##.###.#...######.##.#.#.......#.#......#.....#####.#.###.##...#....#.##.##..##.####.#.#.#.#..#.#.#.#.##.#.#...#.#..##........#.##.##.#.###.##.....#.#.##.#...#.######......##.#.#####.#.#...##....##.##.##.###.######.#.###.#####.######.#..#.##.#..........#.#.#.....######.........#..........####.##.#..#####..###.#.####.#...##.#.#####.#.#....##.#.##.##.#.#####.###.###.####.###.#.#...#.#.#.####..#
#.###.#...#.#.#.#####.#.#.####..##.#.#....#.##.##...#..#.##.##...##.#..###.####...##...##.#...##.#....#.#..##.##..##..##....##...#####.#.####.##...######..##........#.#.#.#..#.#..#.#.#.###.#.....##.####.#..####.#.##.#.####.#..#.#..##....#.....##.##.##..##.#.#.####.#.##.#.#.#.##...##.#.###.#..##.#.........##.##..##.#.#.....#...#.##..#..#.....###....#....##.#####.#.#.###...#......#######.#.....###...##.###.#.##.........##.###........#####...#####.#..###.######.#.#.#######.....#........#.##.########.##......##.#..######..#..##.###########...##...##.##.##.#########.....#.##.##.##.##...#.##.###...##.##..#...#####.....##.##.#.##.##.#.#.##.#.###.###...##.....#.....#.#.##.#..#######....##.......#.#############.#.#...#.###.#.#########..#.###.#..#.#.#.#....#.#.######.#.####.#........##..#.#.#####.####.........#......#.#..##....##..#.#####.##......#.#.#.#.##.#.#.#.#....##..#.####.####.#.#.#.###.#.#....##.##..##.#........###.......#..#.#.##.#..#.####..........###........##....#.#####.#...#....##.#
#.##..###.#.#.#..##...#.###....##..#.#.#.##.#...###.##.###..####.####.##......###..##.##..#.#.##...#.#####.#..#########..##.##.####....#.......#.####..##.##..#.#.#.######.#.##.##.........###.#.#.##...##.##..##..#..#.#......##.#.##.##.#.##.#.#.##.#..###................#.#.#......######...#.#.###.##.#.##.###..##.##..#.#.###.#.#######.#.###########.#...#.###....####.#.....########.......#.#.#.#...###..#####.#.##.#.#.###.##..##.#.########...###.#.###.##.#..#.##........#######.#######.####.##........#..##.#.#.##.#.###..##.##.##.....##.#.###.#....#..........##.....###.##.#..#.#...#..#.#....#.#####.....##.#.#.....########..##################.......#.#....#####.#######.#####..#.#..##.#....#######....##.#.##.####.###.....#.#.....#.#.#.##.....#.##.#.###.##.###............##.#.#.####.#..########........######.##.#.#.##.##..##.#####......##.##.###.####.######.###.#.#.#.####.#.####....#.#.#.#.........####...##..#...##.##.######.###...####.##.#.#####.##.#.#.##.#######.#####..####..#.#....###.##.#..#
#.###########.##..###.#.##..##.###.#.#.#.##.##.###..#....##.#......##..###.#.###..###..##.###..###.#...##..##.....#.######..#.....####.##.#.#.##......#######.#.#.#....###.######..##.#.######.#####..#..#.#..##..##.##.#.#.#.#####..#.##.#..#.###..#.#.##...##.#.#####.#.#####.###.######.##.#.#.#.##...#.#..#...##..#..##.#.#...#.###.###...#........#.##.#.###...#.##...####.#.####.#...##.########.#.#.#..##.####.#####..###...#..#.##..#...####.###..##...###....####....#.####.......###.....####......##.#.#.#.###.###..###.....##...#..##.##........#.#.##.#.##.#######..###...#.##.#.##.##.##.##.##.#####.####.##########.######.##.##..#.#...#.#..###..#.#.###.#.#.##....#...###.#....#.##.....###.##.#.....#...####.........#######.#######.#.##.#.######.#####..#.#####....##.#####.##.#####.#....#...##.#....##.##.##......#.####.#.##.##.##...##...#.#######....#....#..####...####.#.#....#.#....##.#######.#.##.#.#####.##.###.##.####..####...#########.#####.#.......####.#######.####.....##.###..##.##.###########.#
#..##.........#..####.#####.##..##.#.#.#..#.####.##.##.#######.#.#.##.##...#.#...##...##..#...###..#.####.####.##........##.#.###.##....#.#.######.#.##.....###.###.##...#.....##.###.#......#.....##.#.##.####..##...#.#.#.#.....#.##..###.##...#.#########..#.#....##.#....##..##.........#####.#..##.####.##.#####.#.##..#.##.##.##....#.#.#.####.#....#.#..####.###..###.#..#........#..#......##..#.#.##.#.....#..#..##..##.####.#..######....#.#.##....###.#.##......#########.#######...######.#.#########.#.###.....##..##.#.######.#.###.##.#.##.###.#.#..#..#......##.#####.##.##.######..##.####...........#.##.#.#.##.............##.....###.#.##...##.#...#.#.#..##.#...#.....####...##.#.#.#.####.#.#####.#####..#########.##..#..##.#.#####.......######.#####.....###################.#####.###.###....#####.#...##.#.#.#....########...##.#####.#...#...###.###.#.##..#.###...########.##.##.#..#.....##..#.####.....#............#.####....####..........##..##.#.##...##....##.#....########.#.#.###.##.....##.##...#
##..######.##.##.#.......##.#####..#.#.#.##.#.......#...##.....#.###..#..#.#####.####..######.##..#####...#....##.#.#.####..#..#######.##.#.##.#####....#######.###.####.#.#.#.##.#.###.#.##.#.###.##.#.##...##.####.##.###.###.######.#######.#####...#.#...#####.#######.#..#.####.##.#.#.....#.##.##.#.####......#####..##..#..#....#.##.###....#.###.#####....#...##.....#.##.#.##.#.##.####.#..##.#.#..#.#.#.#...##.####.##....#.##....###.##......#.##...#.####.####.........#..####.###..................###...###.#####.##.#...##.#.###.###..#..#.###.#.#.##.######.##......######...#..##.##...##..#.###.###.#.........#.##.#.#.#.#.##..#.#........#.####.##.######.###.#.#####.#..##..######.#......###..#.##...#.##.#.##.###...#.###.......#.#..#.##.##.##....#######.##.##...#.......###......#..##.....#.##...#.###..###.###.#####.##.######......#.#.#...#...####..#.#..##...#.#.......#######..##.##.##..####...###.##...######.#####..#.##.####...#.##.#.####.##..#..#.#..#.##..#.#.##........#.#.....#..#.###..#..###.#
#..##.##...#...#.##.#.#.###.....####.###..####.##.#.##.####.#.##...##.##.#..##....##..##.##....##...#.######.#..###.#....##.##...##....##.#.......##.#.##..##.....#...##.#.#.#..#....##.#..#.#..#######.###.#####.#..##.##..##.....##........####.##.#...###...##........###.#####...#..#######.#..#.#.....###.#######.##.####.#.##.#.##.####...#.##...#...##..######.###.#.##..#.#..#.###..#######.######.####.#.#.#.......###..######..####.#..###.####..#.#....#.#.###############.#.....#..######################.#.####.##.#..#.#....#####.#########...#.#.#.##......#....#######..####...##...######.##...#...###.#.#.###.#..#.#.#.#######.###.#.#.##......#..#....###...###..#..#.######....#####.#.##...##......###.##.#........#.....##.#.##.....##.##.......##......#####..#.#...#.#.###.##.######.########....###.#...####..##...##..#......####.######.#.#.#.#....##.####....###########.......####..##..##....###...#..#.#.....##...#.#.##..#....##.#####.#..#.#####.##.#.#.##..##......##.###.#.#...#####.##.######.##.#.#
####.....#.##.####..#.#.#...##.####..##..####...#####.....######.#.#..##.#.######..##.##....#.####.##........#.##...#.#.##...##.######..#.##.#.#.##..#....##..#.#.###..#.###.##.##.#.##.#.##.##.......###.###.##..##..#####..#.#.#####.#.#.#......##.###.....####.##.###########.######.......####.#.##.##...#..........#.##...#.#..#..#....#.#.#..##.##.#..##.###.##..##.####.##.#.##...##.....#.###...##...##.#.#.#.####.#####...#..##.#.#..#.###.....####.##.#...#....###.......####.###...##....#.#.###.#.##....###.##....####.#.#.##.....#.#.###.###.###.#.#.###.##.#####......#..##.###.##..#......#.###.##.#...#.#.#...####.#.#.#..#....#..##.###.##.##########.#...#.#...##...#####..##.####...###..##.##..##.#..........######.#.#.#.####.##.###..###..##.#.###.######.#.##.#.###########.......##...###...#.##...#####....##..######.##.####..###.....##.###.###.####.....##.#..#.......##.#######.##.##..###.######.#.#.##.#.##########......##.####..#...######.....#..###.#..##.###################.##.#.#.#....##.#......#
#.#..#.#.#.##....##.#.#.##.##..##.##..#####...#######.#.###......#.##.##.#...####.##..###.#.#.##....#.##.#.#.#..##.####..##.###.##.....##.##.#.#..#.##.#.###.####...#.##..##.##..###.##.#.##.##.#.#######........###.###....####....##.#.#.#.##.#.##.#...#.#....#.##....##.##.#..#.##...##.##...######...##.##.#####.#.##..###.###.##.####.##.#.####...#.#.##.......#.##.....#..#.#.##.#..##.####.....######..###.#.#..#####..#..#...##......####.###.#########.###.##.#.....#######.#....#.#....####..........#.######..#.##....#.#.#..#####...#.......#########..##..#....##.#.####.##..#.#####.##.#.###...#.##.##.##.#.#.#...##.######...####.###.##...#.......##.#.##.######.###.##.#.#.########.#############.##.#.#.#########...###.#.#....#.##...##...#########.###.#..#.#.#.....#..####....#####..##.##.#.###.##.#####...#.##..######...#.#.###...###.#.##.##...#####.#######..##...###########.#.##.##.##.###.......###.#..###.....#.#.#..#.##.....###.##.###..#...#####.###..#.##............##.##.##..##.#.....####....##.#.#
#...##.###.####.#####.#.#...##..#.##.##.....#..##.#...#..####.#.####..##.#.###.....##..##.#.#.#..#.##.##.#.###.###....##.##...#.######.##..#.#.#.##..#.#...#.##...######.#######.##...#.#..####.#....##...#.#######....#.#.####..#.##..#.#.#..#.#.##.#.#.#.#.#.#####.####.......##..#.#######.###.#.###.###.##.....###..#.####.##...###.####..#....##.########.#.#######.#.###.####.##.##.#....#..#.#...#.#####...#.##.....##.#.###.####.##.#####..#####......#.######.#.#.#..####...#.####.##.#..#.##.#######..........##.############.....#.#...#.#.#.........####..##.#.##..####.#..##....#..######...##.##.##..######.###.###......##.#.####...#..##.##.#####....####...#.##..##.#...........................#..#.#.#........#..#...###.##########.#######.##.#.##..#..#.##.....#####.##.#..####.#.#######.....########..###.#####......#.###.....###...#.###...###.#...........##..###.....##.##.#.#.#...#.##...#.##.##...#.#######.##.......##.##.#####.#.#...###...#...##..##..#####.#.#.###.##.....#..##..#.#.######.##.#.##.#.#
###.######...##.##.#..####.####....#####.##.#####...#.##....#.#..####.#..#.##..#.###..##..#.#.#.##..###..####..##..#.##########.....##.#..##.#.#.#######.#.#####.###.#.#......######.#####.##.###.##....#.#.......####.###..##..######.#.###.##.#..#########.####.........#####....##..#....#..##....##...#.##.#.#..##.##....#..##.####..######.##.#..#..###...#.....#.###...#....#..#.##.#.##...####.###.....###.#..#.#.#....#...#....#.##.#.#.##.#.#...#.#.##......#.#.#.##......#......#.#####.......#....###.##.#.#.........#.#..##.##.##.#.#.#.#.##.##.#.#####..##..#..##...#....###.####.###.##..####.##..##.##...#..##...##.#####..#....##.#########.....#.####....#....#.###...###.#####.#.###.######.#########.##.#.###...###.##....###.#####..........#....#.##.##....#.#.......##...##.......##.###.###........#.##.#..#.####.####.....###########..##.#..##...#######.#.##.###..#.####..........#.#..#.###.##..##########..#.###.##.#.##.##...........#.....#.#.#..##..##.....#.###...#.##.#.#...###.##.#.#.#.#...#.########
###..##....#..#.##...###.#..##..##..##...##.###.##.##.##.####.#.##....##.#.##.##...##..##.#####.###...##.##...####.####.#.######.##..#.#.##..#.#..###.##.#...#.#.#.....###.##.....##...##.......#.##.#.##.##.##.#....#...#.####.....##.#...#.##.##.....##.......##.##.#.#...#####.####...#######..#.##..###.#..###.#####..##.#.##...#.#.##.#.#####.##...##.###.###.#....##.###########.####.##.###.##.....#####...##.######.####.#####.#.#......#....#.#################.#.##.######.########...###.##.##.##...#.##.#.#.##.###.##.#.###..#.##.#.#.###.##.####..##...####.#.##..###.#####...#.#......#####.#####..#....#.#.##..#.##.....####.#.###......##...#.###...####.####.####...#...###############....#####.##.##.##.#...##.##.####.#.##.#.#.##..#.######.#.####.......#.##.###.#####..#####.####..#.#.#.############.##.##......#......###....#.....###.##.#.##..#.....###########..####....######.######.#.##...#.###.##....##....####..#..#.###.#.#.#.#####.#.######.###.##..##.##.##..######.#.#.#......#.#.......#.#..##....#
#...#####.##.##.######.....####..##..#.#.####.......#.#.....###..###.##..#.####..#..##.##....####...#..#.##.#.#.#...#.#........###..##.#..##.#.##.....######.#.....#.#...#.#..##.##..#..#.#.#.#.#.#..#########..##.####.##..#.##.####..##.##..#####.##.#..#.#.####.#..#.##.##...#....##.###.##.##.#####...####...#.....##.#..#.####............##...#.#......####..###.##.........##.###.#...#......#.#.#.....###.##..#.#.#...##....####.##.#.#...####.##.#.##.#.###.###.#.#...#.#######.#.#..#...####.#...#.#.####.###..#.###........##.####.###..##.#.....#.##..#....#.#..##...........#.....####...........##.#.#.##.#..#.##.##.###....#.#...#.#########.#####.#..##..#.##..##..#.#.#........#.#...##.#####........#.####.#######..#.#####....#..#.##....##.....##..##.##.######....####.####......##...#.......#.##.#.#.##.##.##.####.##.##...##...#.#..###########.###.#......#....#.##.####.###.#.#..#.############......##.#####.#..#######.#..##.#.###.....#####.#.#####...##..#.##..##....#.########.#.#.....#.#####...##..#.##
##.##.##..#..####......#.#.##...##..##.#.#....#.##.##.##.######.##....##.#.#....##.###.###.###....#.##.#..###.#.#.#.....#.##.#..#####..##..###..##.##...#.#####.##.###.#####.##..#..###.#.#.###.#.##....##...##..#.##.#.##.##.#....#####...##....#######.##.#..#.#.##.###.....#.##.######.#.#......#.#..#..#.#####.#####..##.#..###.####.#.#.#..#.#.#.##.#.####.##.###..##.##.#.#.....##.###.#.######.#.#.###.##...##.....#########....#..#.#.#.#......................#.###.#...............###.###.....#######..###...##...##.#.#.#.##....#...##..####.########.#.#.##.#.##..#.#.##.#.####.#....###.#.#.###.##.###..#.#.##.##.##...###.##.#.#####.#..#.#......########....##..##.#.#.#.#.#.##.....####.......####.#.###.##.###.#.##.#..#.##.##...######.######.#....######...#.###.#.........##.###..#####.#####....#.#.#....##.##....#..#.##.#.########.##.##.#.#.##..##.##.#####.#######..##..##....##....#.#.##.########.###..##.####....#######.##.#.####.##.##.#......#.###..##.#..#.##..##....#.#...#.#########....##.#....##..#
#..#.....###...######.##.#.#..#..#.##..#.##.###.##.#..#.......######.#######.#.###.##....###...##.#.#..#.##...#...#.##.#####.##.....##..##..#####..##.#.....#.#..#..##....##..##.##..##.#.#...#.#..##.#..#.#######....#.#.....##.#.....#.#..##.#....#.##..####.#.####...##.######.........#.#.####...##.##.......#.....##.##.####.#....#.#.#.#.####.#..#.#......##.#.#####.#############.#####.#....###################.#.....#.####.#.##.#.#.#.##.##.#.############.##########.###.###.##########.###.#......###...#.#.##.#.#..#.#####################.......#.###.#.##.#..#.####..#.###.####.######.#.#..#####...##.#.#.####...#.##########.........##...##.#......####.#######..#####.#.#..#.###......############...#.##........#.#.##.#...##.##.#..#..##..#.#.####....###....####.#.##.####....##..##.......######.....##..#..#.#.##.##..###.....#.##.........#..####...#..##.#.#.#.#.#.####..#.##########.#.##........#.#.##.......##.#...#...####.#....######....#.#.##..########.##..#.####.#.....###..#....###.#######.#.####.#
##.####.##...#.#..#...##.######.####..##.#..#....#######.#.#.##..........##..####..##.#.######.##.#.##.#####.##.#.####.....######.#..##..##.#...##.#..##.##...##.#.###.##.##.#######..#.#.#.###.#.##..##........##.#.##.##.####..#.#.###.#.###.#.##....#.###......##..####......###.#####......#.#.#########.#.###.#####...######...#.########..##..#.#####.##.##.....#..###.#.#...........##....########...##.#.#.#.########.....#########.###..#..#.#............#..####.##.....#..##.....#.#.#..##..#.#.##..#..#####..########..#.#.####....#..#.#.#.#.###...##..#..###.#####...##........#....#.#.####.....##.#####.#....##.##.........##.#.####.#####..#.#.##.#..#.#...#.####.##.####.#.##...##.#.#...........##.###.###########.#......#..#......##.###.##.#......#######.#....#.#..#......#########.###.#..#.#...#####..##.##.########..##.#.#....##.#.######.###.##.###........#.#.#..#.#.##..##......#.#....##.#.###......###.#.#..#.#...#....######..##.#..#.##.#....##..#.######.####....#.#.#..###...##...#.....#######..#.#
#..##....#.#.#.##...#..#.#.........#.#############.......###.#..#.###.##..######..#####.#..########.#....##...#.#..##..#.#....#####.##..##....#..#.##.##..#.######...#..#..#..##..#..##.#.#.###.#..##..##.####.###.######...####.#.#...#.#...#.###..#.##.#.###.#.##..###.##.#.#.##......#.#.#.##.#####.#..##.#.##...##.###..##....#.###.#.#.##.####.#...##..##..###.#...####.....#.####.##.####.#####.#.##.##..#.#.....#...########....#.##...##.#.##.####.#.#.#.#.##..#.#.##.##.#######.##.......##..##########.###.######.##..#.##........####.##.#.###..##.#..##.##.##....#.##.##..##.#.#.####...#....#.###.####...###.##.####..###.#####..#....#..#.#..####..#.##...###.....##......##.#..#.#..###.#.##.#.##########................#.#.##.###.#####.......#.##.#.#..#....#.#.####.#.##.#.#.###.#.#.....#######...#...####..#.##....##..##..#.#.##.#########.#.#.##..####.##########.....##....##....######.#.#######.#.###.##...###.##.#.#.#########.######....####..#.##....##.#.##.########.##.####...##.###.#########.##.#..####
#.#####.####.#####.##.######.#.##.#####.##.#.#...#.#.#.#...####.#.#....####......###......##.##.....##.###..###.#.####.#.#.####...#..##.##.#.##.##.##..##.#......##.##.###.##..##...###.#.#...#.####..##.....#...####.#####....###.##.##.##.##...##.######.....#..##.....##################.#.....#....#.##########.#...#####..#.##..........###..#.#.#..##..########.#......##.############.............#..#.##...#####.###.#......#.##..##.#######.....#.###.###..##.....##.##....#.##..#####.#.###...#.##.#.....#........##.#######.####.......#.....#.#####.##...#####.#...##..##..#.###....#.#.#.#.##...#......###...##..####.#####.######.#.###...##.#.##.##.#..#..####.#.#..#.##.##.#.##.##...#.#..#.#####.#.##.#.####.##.#.###.####..#...#....###.##.###.##.######.##.###....#.#.####.#.........###...#.#.##.####.#.########.####..###.####..#....##.#.#.#....##..###..#.#.##.##.#.#....##....#######......##..##...###.##.#######..###...#####.....###..#.##..##.#####.#.......#.##.#.#.###...#.##.##..##.....#.#.#.......##.##
#.##......##..##.###...##....#..#..##..........#...#.####.###.###.###.###...##.#.#.##.#.#.##....#.#.##.#...###..###.#..#.#......###.###.#..#..#.#..##.###.##.#.######...##..#.####.##.#####.#.#.##...####.#.#######.....##..##..##..###..####..#..#......##.##.##..##.####...#.#.#######.##.#.#.#...##....#.#..#.#....#...######..##.###.###..##.##.####.#..#####...###.#########.#.......###.###.#.######.##.##.#####....##...##.#.####.######.#..##.##.#...#.###.##..#.########.###....##########.#.#........#.###.########...###......####.#.#...#.#.#...###..###...##..##.##..##..##..##.##.#####.#..##.#######...#.#.###...##..........#######.#.###.....#######.##....#.#.##.#..#.##.#.##.###.####.######.#...........#.##.#...###.#######.#.##..############.##.###..#..#########....#.#.#.##.########...........###.#.##.#.#....#.##.####...#######..#...#.##..#.##.##.#.........#.###.###.##..##...#.#######.###.#...#.##...#.######...###.....#.#...#.##....###..#..###.#.#.#...##...#..##.#....#..##..#.#.#.......#.#.#.....#
#.##.##.#..#.##...###.####.#.##.#.####.####.#.###.####.....#....####..##..#..###....###.#####.#.#.#.#..##.##...##.....##.#.#.#.#######..#.##.#####.##.##...#.####.########.####.........###.###.###.##....#....##.##.######..##.###...##....####.##.#.#######..#####...##..#...#.#........#.#.###.#..##.#...#.##.###.##.#.....##.##...##..##.###.##....####.......#..##........##...##.##..##.##..###.#...........##.#.####..##########.....#.#.#.##...#.#.#.#...###..##..##.##.######.#.##....#.##.####.####.##.......#.##...###.###.####.##.#.###.#########.#####..#..##.##..#.####..####...#..#.#######....#############.#.#.##.#.########..#.#..#..##.##.###.##.####.#.####.##.#.####..#.##..##...##..###.#.#.###.#.#.###.#########.....#.####..##..##........#........###...###.###.#.##.#.###.........##.#.#.#######.........######.......###...#.##..##.###.###...##.##.#.##.##.#.#...#...#.###....###.#.........#.##.##.##.#.#.#.#####.###..#.###.#.#....######.####.######.#.###....#...###.#.##.####..##.#.##.########.#.#####
#..###..#.##..###..#...##..#.#..###.#..##...#.#.#...###.##...#.###.##..##.##.#...##.#.....#.#.#.#.#.##.##.##.#..####.##..#.#.#.##.##.####.##.....####.##.###.###.........###.#####.#.####.#..##..##.###.######..........#.#.##....##.###.##...####..#.....####.#...###.#..###.##...#.#.#.##.#..########.###.#..#.########.##.##..##.#.#..##..#.#.##.########.#.#.##.##..##.#.#..#.###...##..#..##.......#.####.##.......###.####.#.##.##.####......##.####.#.############.....#.##...#.#....##.........#....#..##.######....###.............#.#.##....#####.#...#.##.#.##...##.###.##.######.###.#.#....#####......#.#.#....#.#..#.#......#.##.....#####..#......#...##..#....###..#...##.##..#.##..#..##...........#.#.#..####.#.###...#.#......######....#.#.##.#.###.#.####.#.......######.#..###.##.##.#######....##.#.####.##........#.#####.#####.#..##..#.....###..........####.#.#.####.##.#...#####....####.#.##.########.###.......#.....##..##.#.##.#.................##.#..##.#.##.#.##..#.##..#########.##......###########
#.##...##..#######...#######.##.....##..##.##.#.#.###.#.##.#####......##..##.###..###.#.#...#.#.#.######..##.#.##....#####.###.....#...##.##.#####....##..##...##.##########..#.##.#......##..#.##...##......##.#.####.##.#.##########.#..#.#..######.#####.#....#.##....##......###.#.#######........#..####.##.......##.####..########..##......#......##..#.########..#.#.##.....###.##.###.##.##.####....#.######.###......#.#.##....##...######...###########.###.###.##......###.#.##.###.######.#.#######.........##..##.###.#.#.###########.###.#.....###..#.#####.##..###.#.......#...#.....####..##.##.#.......#.##.#.#####.#.#......###..#######.##.#...#..#.#####..#####.#.##.#####.######..##.##.#.#######.##...##.#...#.#######.##..##.##.########..#...#.#..##..#.########.#.######...########..###.#.###.#....#.##.########...#.#..###..#.####...###...#.###.##.#.##.#.#.#....######.#...##..#####.########.#.##.#.##..#####.##.#.###.##..#.##.##.#.#.#.#.#.##.#..###.##############.#.###.........#.#..####...........#
#..###.###..###.####...##....##.#.#.######.####...##.....#..##...#.#.##..##..###.###..#.###.#.###.#......##..#..####.....#.##..###...####.##.....##.#.##.##..#........#.##.##.#.##.##.#.#.##.#####.#.###.##.##..#...##....#..#.####....#######.....##.####....#.##.##.#.#####.###########...##.##.########.##..#.##########.##.##.###....##########.#.##.###.#.....##...##.#..#.#.#..#######.#.##.##....#.##.#......####..##.#........#.##..#......#.#...................####.##.#.#####.##...#......#.#....######.##.#.####......#.#.#....#.#..#.#.....#.#####...#####.######.....###.#.#.###.#.#.#......##...#.#.##.#.##.##.#.##....######.#...##.....######.##.#####.....####.###.###...####......#####.####......##.###.###...###....#.######..#.##.#.#.#..#####.####.###.##................##.#...#.###..##.###.......#.##.#.........###.#.#.##.#.##.##...#...##.###########....######.####.###.#.#..##.........##.##.....#.####.###########...#####.###..##.#.###.#.#..###.##...#.##.#....##...#..###.###########....##.#.##.#.#.#
######..##.##.#......#######.##.###..##.#....##.#..##.#.###.##.#.###..#.######.....##.#.#...###########.####.#.#####.#.#.#..##..##.#....#.###.#.#####.##.###.#.#.#.##....#.#....##..#.###.##...##..#..##..#.##.##.#..###.###........##.......##.#######....#.##..#.##.#...##..............#.#...#......#.#..#.##.#.###.#.##..####.#.####........##########...#.###..##.###.#.##.####...##....#.##..#.#.#####.##.##.###...#####.############.##########.#.####.######.##.###.######...###.##.###.#.########.##....#.##.###.####.#.##.#.##.###...##.###.#.........###.#....##..#.#####...###...#.#.####.#######.####..#.####..#.###..##......###.###..#####..##...#.#.###.#.#........#...#.#....##.#.######.....#.#.#.##..#.......#.....##.....##.####.##...#.#.##.#.########.######.##.##.##.#.######.#.......##....##.#.#######.##.#.##########.#.##.#.##..##.####.#....#...##.###.#......#..#.....#.#.##....#.#.#####..###.####..#.#..#........##.###########..#.#...#.#.##...#..#####......#######.#.##...........#.##.###..#..#.#.###
##.#...######...#.##.###......#.##..##....##.##.##.####.##...#.#.#...##..#.##..#.###..####.####.##........##.####....######..##.##.#.#.##..##.#....##.#....#.#.#.#..#.##.....####..##...#####.###.##.####.#..#.##.##...#.##..#.#.#.####.#.####......####.###.##.##..#.#.#.##.##.#############.###.######.#.##.##...#.#.#....###.#...#.###.###.###.##.#...#####...##..###.#.#..#...##.#....####..##.#.#.....#.#...#.....#.....#.###.###.#.##...#####.##.#...########...#.#.#.##...#.#...###....#.#...#.#..#....######.........#.#..#####......####.#####.#.#####.###...######.......#.#.#########.##.###....##..###.######..####...#####.#.####...##...#.#.####.##.....###.#.#.###.####.#.#.#.###.#......##.#.#########.###.###.##.##.##..######..##..####.....#....##.#......##.#####..##########.#..#.#.######.#####.#.......###..###.......#....##...##.##..#..###.##...###....####.###.#.##.#########..#.####.....##.#......#.##.##...#.##.#..#....##.....#.##.#.###.#.##.#.##.......#.##..###.########.#.#.#.####..#...####.####...#
#....#.#.##...#.###....#####.####..####.#.##.##.#..#.....#.###.#####.##.##....##...##.##...#.......##.#.#######.####.##...#####..#.#.#.###.##.#.########.###.#.#.####.#..#.#....##.##.#.##.#....#######...#.##.##.#..#.#..#.##.#.#....#.#....###.##...##..##.#...#.##.#.###..##..........#.##.###...##.#.#.##.##.###.....####.#.#.###.#.#####..........#.#.###.#####..##.######.#..#.###.########..###.##.##.##.##.#.#.#.#.#####.#.#.#......###......#######.##...##.##...#....#####.#..#########.#...#.########.####.#.##.#########.###.##.###.#.#..##.#...#.###.#.###.#..###.#######.......#####......######...###.#..####.####..##...###..#.#.##.#.#.#.##.####.#.#...#####.##..####.#.###...###.#.##.##.#....##.#.#####.##..###########....#.###.##.##.##.##.##......#.#####.....##...#..###.#.##.#.#............#.#.#.########.###.#######.##..#.###...##.#.######..#.....##....#.#####.........#..##.#..####.##..#...#.##.........###########.##....###.######...#.#..#.####.###.###..#.##....##....#.#.###..####.###...##.#.######
###.##....###.#.##..####.....##...###...#.##.##.##.##.#.##..####.....##..##.#.##.###...##.#####.##.####...##............#.....#.##.###.#.####.#....#..##...#.#.#....#.##.#.#.#.###.##.#....##.#####...##.##..#.##.#.#####.###..#.#.##.####.#...#..#.####.##..##.####..#...##.#..##########.####...#..................#####.##.#.#.#.#.......##.#.##.#.####...#.....##.......##..##.#####.....#####.##..##.##..#..#.#.#.#.#....##.......#.##.....#.#####.......#.###...#.###.##...######.........#.#.#....##.###.....#########..###....##.##.........##..#.#...###.....#...##.........##.#.####.##..#.##....#.##.####.#.####...#.#.#####..##.######..#.........#.#####.#.....#####..#.###...##.####.#.#######.####......##...##..##.....####.###.........######..##.########.#...##########.##.#...##.#.####.###############.###.####......#.##.###.#..##.####........##.##.#.##..####.....##.#.#.#.##.######....#..##...#.#.##.###.######.#.....#####.##...####..#############......#..###.#....#.##..#.####...##...##.#####..#.....####
##...##.#######..##...####.########.###.#.##.##.#..#..#.###..##..##.#########.##...##.###.##.....###....#..##.######.##.############........#.#.##...##..###.#.##.#.####.#.#####.###..#.#.##........###..##.####..#..##...######.###.....####.##.##.#.....##.##....##.#.#.##.##..............##.#.#.##.##.##.#.#.###.....#.##.........##.#.#####..######...###.######.###.#..##..#...#.####.##..##.##.###..##.#.######.####.#....###.#.###..##.##..##.#.##.##....###.##.....####......#.####.######.##.#......###.####.##.#...##...#.###.###.###.##..######.#.....#.###.#######.##.######....#....######.###..............#.###.#..#.###.....##.#####.##.######.##.####.#####..###.....##.##.....#.#....#.#...#.#.######..#..##....#.###.##.#.#.###########....##..#.###.##...###...#.##.#.##...#.##.#...##...#.##.##..#.#....#.#.##.######.....#####.........########..##.#.##.############.#######..##.#.##.###.##..###.#.#....#..........##.##...#####.###.#.##.#...#.#.########.##..######.####..####.#..###..#........####.#####..#
#..#.##..##.....###.#....###............#.#...####.#.##...##.##.###.....#.##..##.#..###....##.##.##..#.##.##..#.......#............##.#.#.###.#..#.#..##.#####.#..#....#.#..#.##...#.####..###.#.##...#.###.#.###.#.###.#.....##...##.#.####...####.#.#.#.##..####..###.#.##..##.#.################.##.##..###.#####.#.#.#..#.##############..###..#.#.##.##########....###.###.##.#.....##....##...#...##..#.#......#...##.##.#..########.###..##.......#####.#.#.###..###..####.#####...##....#########.#.#...............#....#.####....#.###..##......#.#.###.#.##......##...#.....###.#...#.##....########.#.##.##.#.....#.####.....#.###...####.##.............##.....##...#.##.###.##.#####.#.####.##.##.#.#########.##..#######..##.....#.##.####...#.######........######.##.##....#.######.##.####.##.....##.#.#.####.#.##..#####.#.###.##..#######.###.#..##########.........##.####.#.###..#....#####..##...######.#.#.###########....#########.#........#.......#.##########.#######...##.#..##..#####.#.####....#.......##
#.##.##.####.##.##..##.###...#.#.##.###.#.##.###...#.##.###...###...#####.#..##..##..##.#.###.######.######..###.##.#.#.#.#####.#######.#..##.#.##.##.##...#####.##.#.##.##......#####.############.#####.......###...####.#.##..#..#.#.##.###.##...#.###..##....#.##...###..###.#...##.....##.#.####..###...#.....########.#.##.##..........##.##.................###.######.########.#######..#.###.#.###.####.##.##.#.#..##.##...#.#..#...#.##..###.#....##.#.....##...##....#....##.#####.###.##.##.#######.#.##.##.###.#.#.##.##.########.#.#####.####.#.##..#....#.####..#.###.###.#.#.###....##...#.#..#.#..#..#.##.####.#######.##.....###..#..#.#.##.##.###.##.######.###.####.###......#.#..##......#.#.........#####....##.##.#..#.#...........#.#..##.#..###.#.##.#.#.....##.##........#.#...##.....###...........#.#.##.##...#.####...##.......#.......##.#.####.###.#.##.##...#.#.#.#.#.##.######.#######....#.#####......####.######.#.##.##...##.#.#.#.#######.....#...##..#.##.#.#....#.####.....#.#...########.###.###
####.##..##..#...##.####...#.#.###..#...###..#...#.#..#.##..#.##..######....####.###..###.#.###.#.....#.##..##.####.#.###....##..######.##.#######.#...#.#.....#.##.#..#..##.#.#...##.........##.......####.#.#...##.###.#.#..####.####......#.##.#.#.###.####.#####..#..##.##...###....#.#.......####...#.#.#.#.#..#.#.##........#.###########.####.#########.#.#..##....##...#....######.######..##.#..##....#.##..###.##..###..#.....###.##..##..##.#.#####.##.#.##..####.####.#.###..#.##.................#.#..#..#...###.###...........#..#.#...#....#.###..###.###...##.##.#....#..#.#...#.#.####.##.#.####.##.#####...#........###..#.#.....##.##.#..###...#####..........#........#.#.#.#######..##.#.....#.##.##...##..##.........#####.#.#############..#.########......#.####..#.#.#########.###.#.#...#.#.###.#####.........#....#.##.###.###.####.######......#....########..###.#..................##.####.###.##.##.#.##.......##.##.......##.############.#.###.##...#.##.##.##.####.###..#.#.###.#.#.#...############.#
#....##.####.##.##.....###.#.#..##.##.#..###.##.##.#.##.#..##.###.#......##...##..##.####...##....##.##....##..#....#.###.#.######.##...#........#.##.##.#.##########.##.##..#.#.#....##.#.##.##.##.#.##....#.#.###......#.##....#...##.########..#.#...####.#.....##.##..#..##.###..##.###.#.#.#...###.####.#.####........#.##.#.....#...#.#.#.#..#...#.##############.#....###.####.##.#......####..#.##..#.##..##...#..##...####.##.##.#####.##.###.#.....#..#######....#....###...##....##.#.##.#.##.#.####.#.##.###.##....######.##.##...##...######.#...##..##...#.###..##.##.#...####.#.######.####...#.#####...#.###.#.####.####..##.#.#########.##...###.#.##..###.#.#####.####.##.#########...##..#.#.##########.####.##.##.#.####.#.#.#...............##.....#.#..##.#.###....####......##...##..#.##.####.###..####.##############........###########.#.###.####.######..####.......##.#.##.##.#####.......###.......###.#..#.#.####.###.####.......#..##.#.#....##.###.##.#.........##......##.#..######.#.#.....#.##.##..#
#.##..#..##..#..##.#.###...#.##.#...####...#.#...#.#..####.####...#.#.#.###.####.##..#....#.###.#.##..###.####...#.##...###...####.####.#.#.#.##.#.##..#.#....#.##.#########.#.#.#.###############..#.##.##.#.#...###.#######.####.#.#.....#...####.##.##......###.##..##.#.###...##..#...#.###.#.#.#.#.#..#.#...##.####.###..#.#.#####.###.#.#...######.....##.#.#.#.#.#.####.#...........############..##.####.##..####.#..####....#.......#######.###.########..#.###.#.#.##...#.#####.###..#.##.###..#....#.#.##...#..#.#.##.####..#..#.#.##.#......#.#.####.##..#.#...#######..#.#...##.####.#.#..##..#.......#.#.....#......####...###.#....##.#.###..#######.###..##.#.....#....#.##......#.#..#####.#.#.......##.#..##...#.##.#........#.###.###.##.#.##....#####...##..#.....#.##.############..##.#..#....#.#.##.........###.....##..######.......#.##....#.#....#.##.#.##...##.###.#..#.#.#...####..#.########..##.##..#######.####....#...####.#.####.##......####....######.##########.######..##.....####.###.#.#.##.##.##
####.##.##..##.##..#####.###..###.####.#.#.###.#.#######.....###.#########...##..##.#####.#..##.#..##.##..##...#.#.#..#####.#.........#.#.#.######..##.#.##.#......#.#.##.##.#.###.....#######.##..##.#####.########..####.....#######.#.#...#.#....##.##.####...#.##.#####.#...###..##.#########.#...#...##.#.###..##.....#.##.#...#....##.#...###....#.#####........######.....##.#.##.#.#.##.#....##.##.....#..##....#.##.###..#.##.#.#####.##......#....#.#.##.#.#.###.#..##.##..##....###.#.##...##.#.##.###..###.##.#.#..#....#.#########..#.#.##.#.#.###...##.####.##.#.##..##.###.##..........###.#####.#########.##.#.##..#.###...#.#.##........##..#...##.#.#######.###.#.######..#.####.##...##..#.##.####....##.##.#.#.####.##.##.##..##...##########.#.......#.#######.#.#...........#..##.##..##.#.######..#.##.#.##.....#######......#.#.###...##.####...#.##.#.....##.##...####.##.#.#.#.##...#####..##...##...##..##...####...#.##.###.####.........#.#####.#.####..##...####.#.#.......##.###.##..##..##..#.#.#...#.##
#..#..#.##.##...#####.....##.##...#......####..#....##...#.#..####.#.#.#.##.####..#.##....#.###.#.#####..##..#.#.#.##.....######.#.#.####.#.....########..#.#.####........##.#.##..###.#.#.##..##.##......#........##....###.#.......#.#.#.#######.##..##.##...#.###......###.#...##..#.......##..#.#.#.######...####..##.##..#.#.#...#####...#.....##.....#.##.####.##......###########.#........##..######.#.#.##..#.#####...#.##..###........#.##.#.####..............#.##..#####..#.##..##.#.##.######..#..##############.##.######.##.#.##########.#.#.#...#.#.....#......##.###..##..#####.##.###.#.#.#####.#.#.#.###..#..##...##..#.###..#.##.#.#..##...#.......#...##...#.#......####....#.##.#######.##..#.######..####.#....#..#..#####..#.#..#.##..#.#.##.######..#.#.####.#.##.########.######.##..#.##.....##.##.#####.##......##.###.####...#.#.....#.#.###......#.#..#.##.###.##..#####.#....###.#.#.###.#.###########.####.###.####.......##.##.#.##.####.........##.##.###........#.##.##...########..##..##.....###..#
##...##.#...##.##.....#.#.######.###.#.#.##...##.#.##..###.##..##.............##.####..##.#.##..#..##...##..####.#.##.#.#.##.#####.####...##.#.##.##..##.##.#....#.#.##.###..#..##...#........#######.#####.#.###.##..####...##.####.#.#.#....##...##.###..###.#..###.#.#######.#.#..########..####.#.#....#####...##.##...########.#..#.#..####.#.####.##.........#..####.####.##.#.#.#.##.####.####..#.#.###.#.##.##..##...#.#.##.###########....#.#....##.##.##.#.#.##########.###.#..##..#####......########.#....##.##...................#.......#.######.##.##.#####.##.###.##..####...##...#............#..........##.#.###.#.##.#####..##..#.####.#..####.#.##...#..##.####.######....##....#....##...###........##...##.##.###.###.....#.#######..#.##.#.##.....###.......##.#..#......##.......###..##....##.##..##..#.##.###.#####....###.###.#####.##.......###.#.##.##...........##.....#.#.##..#..........#..#.##........##...##.##...#.#.#..#..#.###.......#########.......#.##.#.###..#....###.##..###..##.##.###.....##
####.#####.##...#.#.###.#....#.#.#...#.#.#..#..#.#..##.#...##.####.#.#.###.##..#...##.###.#.##.##.#####..####.##.###..#.#......######.#.#..###.......##..##.#.#.####..#.####.#####.#.#.#.######...##......#.#..##.###...##.#..#....###.#.###.####.##....##.##..##..####.......#.####..##.##.#########.######...#.#..###..#...#.#.##.##.....###.#####.#####.#.#.#.######.#........#.....####...####..####.#...###.##.###.###.####.#..........#.######.#.#.#####...#.#.###..##.##....####.####..#.###.#####.##.......##.....####.#.#.#.##.#.###...#############...#.##.....######.#.#..##.###.####.##.###.##.#.#...##.##########...###.#......##..##.#..#.####...##.#..#.####.##...#####...#########.###.#.##.#..##.########..#.#..##.#.###...#####..##.#.##......#.##.##.##.#.########.#.##.###.##..#.######..####.#.##.###.##.##..#.#.........######...#.....#.#..#.#########..###..##.##########.##.#.#..##...####.#####.##.###.#######..###.....#.#.#.#######...#.#.#.#..###.#.#..###.#....##########.##......#.##.#.######...#.#.#..#
#.....###...##.##.#####.#.#.##...#.#.#.#.##.##.####.#####.##..##...#.###...###.##.##....#.#.##.#......##.###......##.##.##.###...##...#.##...##.#.##..##..###.#...##.##...##...##..#.#.#####.#..#.###.##.##.#.##..#...###..#.##.#.####.#...#..##...##.#.##.###..##....#.#.#.#.####.#.###............#......#.#####.##...##.#......#####.#.###......#.#...##########.###.#.###.#.##.#######..#...##.###.#...#######...####...#.#####.##.####.....######.#....###.##.#...##.#.....##...##....##....##........#.#######..###....#.#.#.###..#...#.#..#...#.##.#.#.#.#..#.#.#####....#.##......#..##..#....####.###.###.........##..#...###.###.##..##..##....#.######.#.#########..###.#...###.#.##.##..####.##.##.##.....#######.##.##.....#.#.....##.#.......####.###...#....#........#####....#..#.##......##..##..#.##.#.####.##.##.##.#.#.##..#.#.#.####.####.#.##.........##...##..#...#.##...#.#########..#.####....####......#.....##...##.############.###.##########.........##.####.#.........#####.######..#.###....##.##.#.#.##
#####...##.##...#.###...#.#..##.##.#.#.#.####....##.#......##.###.########...#.##..##.###.#.##.###.#######...###.##...#.#....#.#....###.###.#####.##.######...#.#.##.#..#..##.####.###.###.....####...#####.#..##.#.#...##.#.####.#..####.##.####.###.###....##.##.######.###.#..........#.##########.##.#......#######..###.#.#####.####.#.#.####.....####.#####.#.........######.#..##.######.#...#....#.#.#.#####....###....##...##....###.###..######.#...#..###.###....##.###.#..#.######.#..#.#.#.##.#......###..##.####.#.######.##.#####...#.#......#####.####..##.#.########.###.##..##.##.#.##.#..##...##.#####.##..##.####...######.###..#.##......#.#.#......#####.......#...........##...####..##.##.#.#....######..##.#.#.###.#####....#.#.#...#######.###.#.#.#########..#.##.##.#.##.#.##########.###....##.#....####..###..##.........##....#.#.##.###.#.####.#.##.##.#......#####.#.#...####....###.##.##.####...###....###......#.#.#......#...##.#.#.#########.......#.###.#####.....#.##.....##..###.###########..#
#.....#.#######.###...#.#.#.##..##.###.###.###.######.##.#.####...##.......#.#.##.#####...#..###...###.....#..##..##.##.###.##.##.#...###...##.....#......#.#.#########.####....##.##......##.###...#.....####..#.#.##.##..#..###...####...###.##.##....###.##..##.###.##...###.##.#.##.###############..#.#.##..###..##...#.#.....#.#.#.........###.#.......#.#....#.###.#..#.#.#.#.##...##.####.###.######.......###.###..##..#.#.###.#...#.....##.##.############.....##..#.#.######......#.#.##.#.#..#...######.####....####......#.##..#####.##...#.##.#####.#.##.###.#.......##..######..#.#..#....######.##......####.##.....#.#...##.###.##.#..#.#.####.###.####..#.##.###.###.###.###.#.##.#...#####...###.#.##....####.#..#####.......###.##.#.#.#...#..####.#####....###..#.##..#..#....#####.##.##.##..###.#....#.##....##...##.##.#.#######..#.##.#.##...######.############.#####.......###.#.###.#####........###.#.####.#.....######.....#.#.##.#......#.##.##.####.#.#######......#.###.#....#####..##.........##.#####
###.#.#..###......##.##.###.###.#..#######..........###..###.#..######.#.#.#.#.##.##.###.##.##...#...##.##.#.####.##..#.#...####..###..####..#.#.#.##.#.#.#.#.....#.#.#....##.#..#####.#.#.##...###.##.##...##########..##.##...###....######...#.###.####..##.##.......##.###..##.####.#............##.##.#..##...#.####.#####.##.....#.###.######..#.#.#.#.....##.#...####.........#..#...............#.##.###########.##.##.##.#.#...#.#######.#...#.##.......#.#.#.#######.....##.###.#.##.###..#.#.##.#....##.....####....#.##.#######...#.###..########.#.###..........###.#####....##..#####.#.##.....##..######....#.##.##.######.........#.#.####.......##..####...##..##...#..##.#####..###.#....##.#..####..#.##....#.##...##..#.#.###....###.#######.##.....#.###.#...#.##..#.##.###.#..#.#...#.##..##...#.##.#.###..##..##.#####..#.......#######.#..###..................##.###.##.######.#...#.###.#.####.#.#...#.#....#######........############.#.##............#.#.......##.############.####..##.##.##.##.###...##.#
#...#.#.##...##.#.#..#....###.#.##.#..##.####.#.##.#####.##....##..###.###.#####......##.##..#.#.#.#.#..#..#..##...#.##.###....##..###...#######.#.##.###.####.##.....#.##.##.##.##....#.#..#.############.##.##..##...##..##.#...#.##........###..##.###..##..###.#########.#.##..#......#.#.#.#.#.########.##..#......#....##..##.#.##..##.##...##.#.#######.######.#...###.##.#.#...#######.#.#.#.#.##..#.###.........####...#######.####.######.#......###.#...#.#..##...#.#####...##############.#######.#....#.#....#.#.##.#....##.#..#.....##..#.#.##......##.#.#.#.#...#####...#.####....##.#.##.#######......##.#.#..#.#.......##.#.#.######...####.#.#..##...###.############..#....##.#######.#######....#.##.####.#####.#####.#.###.##.#...#............###.....###.###.#..##..#...#.##.....###.##.#################..##.#.....###.##.####.......#.#.###..##.##.#########.##..........###.....#....#.......###########.#.###.#####.##.#######.#.##..#.#..#.######.#.#.#########..#......#...#.###..##........####.....#....#
#.#.#.####.#..#.#.#.#####..##....####.........###..##..#.##.##.###.#....##.....#.#.#.##...##.#.#.#.#.##.##.#.###.#.#.##.##..######...#####...##..#..#.###..##...#####.#.##.##.##.##.#.##.#.####.#..#.#######.....#####..##.##.#####..###.##.#...#######...####.#.......##.#..########.#####.#########.##.#######.#.####.#.##..##.######..##.....########..####..#.#######.#.#..#.####.##.#####.###.######.##.....#########.###.###.#.....##......#..##.#.#..####.#.#.##....#.#.....#.###.#.##.#....##.....##..##.#.#.#############.##....##.##.########......###########.#.#.#.....#.#.#.#....####..#..#.......##.#.#.######.##.##.#.#.##..#.#...##...#...##.####.##.#..##......#....##.###.###......##.......##.##.###....##.#.#....#.##.#.....##.#.#.##.#.#####.#...####.##.........#######.##..##.##.........#.#...##.#.##..#####.##.####.#.##....#.#####.#.#...###########.#.#.######.####.##.....#.#.#.##...##########.#.#.######.......####....#.........####.##...###########..##.#####.##.#...#...###.###.#########.#.#.#.###.##
#.#.#..##..##.#.#.#.##....##..####..#.#####.#...##..##...##.#..#...##.#..#.###.#####.###.##..#####.####.##.#.#...#.#..#####..#.#.###.......###..###.#...##.##.#..#.##.####.##..#.#..#..###..###.#.##.#.##.#..#.###.#...#####......##.########.#...##....#.########.#####....###.##........#...####.#.........#.###....#.#..#.###.....##.##..#.#...#....##..#.##.......#####...##..##..#......#..#####.#......#.#............##.....##.##....#.##...#####.####.#########.#.####.###....##........#.###.#####..###.###....##......##..#.#.##...#........##.######.#.#.#.####.#####.############.#.#####.##.##.#######.#..#####.#######.#####.#.###.##.#.#########################...#.##...##...##.##.####.##.###...#..##.#.#####.###.##.##.#.########.######....##.#.###########.#.#.#.....#.#####.#...##.##.###.....#.........####.###.......#..#.####.....#.#.##.##.#...............#.##########.#.###.#.#.##.#.......#.#.............###.#....##.###.##.##.#....########......##...##...##########.######.#.#.#...........#####..#####
#.####..##.##.#.#.#.#..#.#######.##.#.#.....##.########.######.###....#.##...#.....###.#.###.##.....##...#.#####.#.##....###......##.#.##.####.##.####.#####..#.##.#####.#..##.#.#.##.#######.#....#........##.###...#..#.#..#.#######.....##.#.#..##.#.#..##............##......###.##.#######.#....#.#.#.#....##.######.####.#.##.###.##.##.#.#...##..##.#.########....###.###.####...#########.#.....#.#.##.#.###.###.#.##..#.#.##.##.######..#....##...#........#.########...##.###..#.#.#.##.#.#.....##...####..##....#.#####.##.#..###.##.#.#####.....#.#........##...#.#####.#.##.........######...#.....########.#.###.#########.#.#...#..#.#.....#.##.#............##..#.#..#.#.#..#..####..##...#..###.###..#.#........##.....#.#..##...##......#.#.###.#...#......##.#.###.#.#....#.#..#.#..#.##...#.###.#.##.#.##........###.##.###.#....#.#.#.#.#.##......#####.#.##.##.........##.###...#.#.#..#.#.#######.#.#####.#.#.#...#.#.####.......############.###...######..#....###..#####.###.##.#.#.#...#.#.########.##.##...#
#....##.##.##.#.######.#.##...........##.#.##.......##...##.....###.#.###..###.#.#.##......#.#..##.##..#.#####...####.##.#.#.#.##..#.#######.####.##.#.....##.#.....###..#.##..#.#.#...#.##.#.#.####.###.#.###...###.##...##.#......#..#.########.##..###.########.########.######...##.##........##.#.#.#.##.#.##.....##.#.##...##...#..######.###..##.##.#.#.###.#####...#...#..##..#....##.##..#.#######..###...#####.#..##.#.#.#..##.....##.##.####..###.###.####.##.#.#.##.##......###########.###.#.##.#....######.#######.#..#.##..####..#.##.#..#.#.....#.######..#............#.####.##......#.#.#.##.##...........##..##.###.#.#.#.#.#.##.#.#.#....#.#.#####.#.#.###.##.#.##.#.#.#####....##########.###...##.#.####.#.#..##.#######..####.###.##.#...#####...#.#####.#..##.#.#.##...####.##.#.#..###...###.####..##.#.#.##########.#.#.##.#.#######.##.##.#....#######..##.#.#.##.....###.##.#.#.##.#..###..........#.#.#.##.####....##.#.######.#.#.##...#.###........###.######...##...............#.#.#..........#####.###
##.#.#..##.##.#..##....#..##########.##..#..##.#.#.####.##..###.#...#...##...###.#..##.##.##.##.#...#.##..##...#..##...#.#...#..##.#...#.#.#.##.#.##.#.#.######.#.#.....##..#.######.#...............###.###...#...#..##.##..#.#.##...##...#.#.##..##.#....##...#.........#.##.#####.##....##.#####..#####..#.#.###.#.###...##.#.##.####.#.......########............#####.#.####..##.##.#.....##.....#.####.########..####.##.######.####.#######....##.....########....#.#.######.#.#...#####.##....###.##.####....#.#....#....#.######...###.#......#####.##.#......#.##.#.#.#.#.##.#.##...##.##.#.#.#.#######.##.##.#######..........#.#.#.########.##.#.......#.#######.######..#.#.#..##.##.#..##........###.#..#.#..#####.##..###.#.##..##......###..#.#...#######...#.######..#.###..#.####.##.####...#.#.#####.##.###.######..###....############...#..#.##.##.#.......#.#####.#.##.###...#############.##.#.##.##.#.########...###.#.##..#..#.#.#.#.#.#..#.#.##..#.#######.........#....#.#.#.#.##.#.#######.###.#.#...#.#.###
#..####.#..##.##..##.#.##.####........##.##.##.###.#....###..######.##.###.#...###.##..#...###..##.##.#..##..#.#.####.##.#.####..#.#.#.....#.......#.######..##.###.###..#.##.#.#....#.##.#.#.###.##...#####.#.#.#.##..#.#..##.#.##.######...#.#########.######...###########......#.#..#####.....#####.###.#.#..##.#...#.######.#####.#.#.###.#...#.#.#..#.#.###.####..##.####.####..#..##.##....#.#.....####.####.#.###.#..#....##...##........#.#.###.#.#...##.....##.......##.###.#.#..#.#...##.################...#.##...#.##......#.#..##.##.#.#...##...#.####.###.##.###.#.#.######..#..#############.###...#######.#.#..##.#.##.##.#.#......##...#.###.#.#....#.......#.####.###.##.....#.##....########.####.#.##....######..##.#....#####.#.#######.##.##....##.#....#..##.###########..#..###....#####...##...###.####.#.#.##.#.######........##.##.##.##..#.##.#.####...##..###...##.#..#......##..........#..#.#.#.#.########.###..#####...........#.####.##.##.....#.#####.##.####.##.#.#.####.###.#.#.#..#######.##.#.#.#
#.####..##.##.##.##..####.#....##.###..####.##...######.#...##......#....#.#.#..##.#..##.###...###.##.##..##.#####.##.##.#.#....##.#.#.#.#...#####........##..#..##...#.####..#.####.#.####.#.#####..#.....#.#.#.####.##.##.##.###...#.#####...#...##....#..#.#.#...#####.###.####.#.##.....##.##.........######.##.#.#.#.....##...#...#.#...###.###.#.#.##.#..#####.#.#####.......#####.#######.####.###...#.........#...##.#.##..##.####.###.#####.#.#.#.#.#....##.##..##.##.....#######.....###..#...##........##.###..#.######.##.#.#.##.####..###.#..###.#....#.#####....###.#......##.##..#....#.#.#...#...#.##..#.......#######..####.#.#.#.##..#.#.##..#.#.####.#####.....#####...##.#.####..##...........#.#####..##......##......##.#.#####..#....#..#....############.###...##....####.##..###.#..#.####....#..##.##.#............##.##.#####..#.#######..##..#.#....#.###########..####...######..#.#.#.#.#######......#.#.##....####.#.##.###.##.###.#.#.....###.####.#...####....###..#.#####..........####.#.#.####.....#
#.#....##..#..######.##...#.#.###.##..##....##.#..##....##.######.#.#.#.####.#.######..#...##.###..##.##.##...##.......#.####.#..#.###.#.#.#....##.#.##.#..##...##..###.####.##.#....#...##.#.....##.##.####.###.##.####.##.#...##.#...#...#####.######.###.....#.#.....#........######.###..##########.#...##.####.#.#.#.#.#..###...#.###.####...........###.##.#......#.###.######.#.#.......#.#.##########.#####.#...######.##.##..##.....#.#####.#.#####.##.#..#..##..#..#####..###..###.######.#.####.####.####...##.#....#.######.#.##....#####..##...#.#.####.....##.#.##..#.##.###...##...####.....#...#####..##.#######.....####.##.#.#.#..##.#.#.#..####..........#.#.#...#.#.#.####....##..##.#.##.###.......##.###.#######.#.#..#.......##...########.#................#.#....####.##.#####.####.....##.#.###.##......#.#.#.#######.....#####....##.############.######.#.##...###.##.###......##.#.#.###.......#.#.#.##.#..#.#####......#..##..#.........#.#...#..#.....#..#.####...##.#.....#.##.#.#.#..#.......##.#.#####
#.#.#.##..###..##.....#########....#.#####.###.#.####.#.#..##.##..#.#.####...###......##.######.##.#...#..###..##.#.#.####....##.#.###.#.#.#.##..#.#..###.####.####..##..#.####...#.##.#.##.##.#.#####.....####........#.#..##.##..#.#...#####.....##.....###.###.#.#.#...#.###.###.##...###..#.###.#########...#.#.###.###.#.#####.########....#.##.####..#####.#.##.#........###.#.#.##.##.#.#......#...........#####.....####...##..###.#####.#.###...#####..#.#####..###...####...##..######.##.........###....##.#####.##.....#.####..#.#.##.##..####.####.#..#.#.#.##.####.##.##...#.#..#.#......#.###.#.##.##.##........#.###.#.#...#####.####..#.#.##...##.#.#.##.#########...#.#..##..##.##.#####..#.##..#.######...#.....##..###.###.##.###..#........####.############.#####.###.........##....###.#.###.#..##....##.###.#.#......#..###....###.#.......##...#.####..##.......###......#############.#.####.####.#######....##.#.#.##.##########.#.#.##.##.#.#.#.##...######....##########.#.######.######...#.#.#..........#
#.#.#..####.##.##.###..###.#.##.##.#.#.#...#...#..##..#.#.##.....####....###.#####.##..###.........##.##.####.#######...####.###.#...#.###.#.###.#.#.######......###..##....#.##.##..#.#.##..#.#.#...##.##.##.##.#.###########..##.#.#.#.##..#.#.##########...#####.#.##.##...#......###...##...#......#.#.##.###.#..##..##.#..#.##........##.###.##.#######.#.....####.######...#.#.#.#####.#.#.#.##...#########.##.########.#######.##....#.#.....#..#.....##.#.....##.#.#.#....#.#..#.##.#.......#.#######.###.###.#.##...#.#.#.#..########.....##.#.##...##...########...#.###...##.##.#.####.#.#.##...###..........##.#####.#.###.#.###...#....##.#.#.##.#.#..#.#..#.###.....#.#.###.####..######.....#####.##....#.#.#.#.#.#####.##...##..#...##.#.######..#.#..#......##.###.#.######.#.##.#....##..##.#...######..##..#...#.####.###...#####.###.###.#########.##....##.#..##.##...#####.##.......##.##.#...##....####.#.#..##..#...........#.##..###.#..#..#####.####.#.....###.#.......#..###....##.......#.#.###.##.#.#.##.##
#.#.##.#.......##.#...##........##.#.#.##.##.#.#.######.#..##.##....##.#..##...##...##..######.#.#.##..###.......##...#.#......#.##.##.#...#...#.#.#.#....#####.##...####.#....#.##.####..##.###...####..#....##.######.#.#....##..#.#.#..#.##.###.##.######.##.....#.##.##.###.###.##...#..#.#...#.##............#.####.##.##...##.####.######...##.....#.#...#.#....#....#.#####.#.#.#.#.#########..#.#...###.###..#.##.##......##..###.#.....#.#...###.####..#.#.####...#.#.#.#####........#.#.#.#..........####.#....##.########.##.###.##.#.###.....##.##..#.......##.#.....#.#.##.##.#...##.#.#..##.######.###.#####...#.#....##...#.##.##########.#..###.#.####.####.##.############....####.###.##.....#.###.###.#####.#..#.######.###.###.##..#......##...##...##.####.......##..##.####.#.########..#.#..#...##..####.#.#...##...#.####.##.##...#####...##....##.###....#####..#...##.....#.#.#.....#.#.######.####......####...#######.#......######.##.###.##....###.#.#..####.#####...####.#.##..#.#.###.#.##...#####..####
#.#.#..###.#.###..#.#.##.#####.##..###.....#.###.#......########.##..######..#####.###.##......#.#..##.###.#.##.####.#####.##.############.##.##.#.#...##..#########....###.#.##.##..##..##...##.#.###..###.###.......#.#.###.###.####.##......##..#.......#####.##.###..##...#.#######.##.##.#.#.#.######.##.#.#.#.##.###...##.##....##...#.##.#..###.#.....###.###.###.#.....................########...#.......##.#.......#.########...##.##.###.#.#.#....##.#.#..##..###.#.###.#.####.#.#.#####.#.#.##.#.#......##.#..###...#.#..........#.#...#.##########.#.#.#.#.#..#.#.########..####.##..###.######.##....#..##.#.#...#.##.#..#...##.#......###.#.###..#..##.............##.#....####........####.###.#...#.........####.......##...#...#######.#.#.###.###..######.#..#######..##.....###...#....##.#.##...#####....#.###.#..#.######.#.##....#.......#####.#......#.##.##..##.#.#.#..#.###.#.#.#.#####....##.......##.#..##..#..###.#####.######.##...####...###.########.##.##.....#.#..#.######.##.#########..#....###..#.#
###.##.#...#...#.##.#.########..##.####.#.##..##.#.####...##......##.....###....##.##...##.##.####.##..#...#.#...##..##....#.....#..#.#.##.#...#####.#####.......##..##...#.#..###..####.####..#.#.#.##.##....##.#.##.....##....###.....##.###..##...###.#.##....#....##..##.##......####...#.#.#.#......############...####.##..#.#.####.##....##...#.#.#.#...#..##...#.##.##########.#.###.###.#.#.###.###.######....#.#######.....##.#..#.##..##.#...####.##.#.#.####...###..#.......#.#.#.....########.#.###########.###..#.....#.###.#.############.#.#..###.#.#.#.#.##.#........##..##...##.##.....#.#.####.###....#.#.#....###.####......##.###.#.#...##.##.#..#.##.##.#.#......#####...####.####....##.#.###.#.###.#....###.#####..###.#......##.#.#.#.######.....##...###.##.##....#.#####.#.#.#######.#######.##.#.##..##.#.##.##.#......#.####.########.#..######....#..#.##..######.#...#######...####.#.###.#.##.##.######.#.##.#.#.#.#........####......#..##.......##.....##.#.#####...##.##..##........##.##.##...##...#
######.###.##.##.##.#..##......#####....###..##..#.#....#####.#.#####.#.##...##.##..##.##...###....######.##.##.####..#.##.#.###...##....#.###.##.#####.###.#.#.####.##.###.##...##..##.....##.###....#..##.#.##.#.#..#.#..##.#######.#.##..###....#...######.##.##.#.##.##..###.#####.###.##.#.#.#.#.##...#.#.#..##..#..##..##.##.#...##..########.####.###.####.##.#####.......###.#.#######.........####......#..#.##.....###.########.########..#.#...#######.#.#.#..######...#######.#.#.######.#...#.#.........#####...##.#####...#.#..##.###.#........##################.########.####.##...#.#.#......###..##.#########.#..##.#.###.##.#######.#.#.####..#.##.#..#.##.#.#.##.###...#.#...##....##.#..#.#...#.####..#.#.####....###..##.##.###..#.#.#........##.##....####........#.######.#.#...#.##.##..##.#...#######.##..######....#.####.#######.###.#.#.####.##.#.###....#####.#.###.#...#####.#...####...###.#####.....##.#..........##.#####....#.##.#.#.##..#.###..##.##..###########.....#####.##.#.#.##.##..##.####.##
#......#....#..#######..##.###..#.#####.####..##.#.##.#.##....#.#####.####.#..####.###..#####...##.....##.#..##....##.#.#..#..####....#.##..##...........##.###...##.#....###..#####.##.##.###.##..#.##.##..###..###.####.##......##..#.###..####.##.#...##...#...#.###..###..##.....#.#.##########.#..#.###.....##..#######.##.####.#..##..#####....##....#..#.###......###.###.....####...#..#.##.##....##.#####.#######.#.........##.........###.#.#####.#...###...##......#.#.......###.#...###....######.#.#.####.....#.##....###.#####..........########...#.#.###.#.##.#......##....##..##.##.#.##.###...#.##.....##.#.####..#.....######.###.#.#####....##.##.##.###..######.##..#.#.#.####.##.#..#.##.#.#.#..#.#########.#.#.##.##..#..#...######.#.#.##.#..#..##.#......#####.##...##.#.#.#.#......###......#....##.#####....##..#.##..##................#.......#.#.##..#.##.##......#.##.##.#.#####...##.#..##..##.#.#.#.##.##.#.###.#..#...########..#.######.##.######...##..#.#.#.#.###.##...##..####.########.##....#..#
####.####.#.##..##.####.##.####.#..........#.##..#.#..###..##.#...##...##..##..##..##..##.....#.###.########..#.####..#.##.##....##.#.#.##.###.#.#.####.##....##.##..#.##..#######...##.##...###..##..#..##...##.##...##...##.#######.#.#...##.########.##..#.##.##...##..#######.##........##.#.#####.#.....###....##.##.#..##....#.#.####.#.....#.####.###.##..##.#.#.###...###.##..##..###.########.##.##.........#.#######.##.######.#.#.##...#.#.........#######.###.###.#.##.###.##...#.###...#.##.##.#.###....#.#########.###.###.#.####.##.##........##.##....#.......##.#.####.#.##..#####..#.##...#.#.#..#.##.###.#....##...#.#..#.###.#.#.#..#..###.#########...##......#....####.#....#..#.##.#..###.#.##.............#.#.##..##.#.####.....##.#.#.##.#####.##.#.#.#####.##########.#.########.#...##.######.#.....#.###.#....##.#..##..#.#.#.##.#.#####.##.##.############....###########.....#.##############....#######..##.#...#.#.####....#.######......####......#.#.###...........#####.####...##..##.#.##..##.####.#
#....###..#.##.##...#.###..#....##.#.#.#.###.#..#####.##..#####.#..##.####.###..##..##..#.#.#.###.....##.....#####...##.##.###.######.###....#.#.#....#..######...##.#.#..##.##..#.#.##.##.###...###.##.####.##..##.#..##.##.....##.#.#.#.#......#.##.#######.#..#..#..##.....##...#.######..........#.##.##...##.#.......##.#..#.####....#.#.#.#.#....#...#.##.#######...#.#...#..##....##.#........#########.##.##.......###..#.###.#..#.#.##########.#.#.#......##...#...###.##...######.#.....###.##....#.####.#....#......###...........####...##.#.###.....##.###.########.#....#.#####....##.####..#.#.###.##.#........##..#.########.........#.##.######.##.#....####.#########.#.####.##.#.#####.#.####.#..#.#.####.#.##.###....#####.#.##.###..#.#.#.##.###.########...........##.#.#.#...##..#####.##..###..#######.....#########.#.####.###.#.##.#####....###########.#.#.#.##..####.##.##.#.#....##########..#.##......##.##..##.####.#.#####......####.#.####.#.#.####.#..##.##.####.####.#####.#.#..##..#.#.###..#....#.#
##.###.####.##.##.#.#.####.#.##.##.#.#.#..##.##.#.#.###..##.....#.##...##..#...##..##..######.####.#.####.##..##...#..#.##.#.......##.##..#.#######.#.##......#.###..#.##.......####.#..##.###.#...###....##..##.#..##.#####.#.#..#.#.#.#.##.#.#........#.########.##.###.#####..#.#.....#####.#.##.##..####.######.####.######.#...##.####.#####.#.#.##.###..#.#.##.###.##.#.######..##....#.#####.####.#...###..#######.##.#.##.....##.#.#..####.#.########.#.#.##..###.#####.##.#...#.####.#.#...#..#.######.#########.##########.#.#.###...##.#..#.#..##.#.#..#.##.......#.###.#.##....####.##....##.##.#..##..#.#.#.#.######.####.#.....####.##.......#........##.#....#.........#.....##.##.#...##..#....####.###....#.#..#.###.##.#.#......###.####.###.##........###...#.#.#.#.####.......###..##.#.#####...#.###.######.#.......#.###.#..#...#.#..#.......##...#.##.#.#......#.#####.....#.##.####.#.....##.#.#.##.###.######.###..#.#.##.......##.#.#.#..###......###########.#####.#..#..#.#.#.#.#.########.......##.#.####.#
#..###.##...##..###........#.#...#.#.#.#.#####......####..#####.#.##.#..##.#.#..##..##.#.##...#....#...##.##.#####.#.#####.###.##########.#.....##..####.#.#.##..##.##..##.######.#####..#...#.#.#####.#.####..#.####....##..#.##...###.#..###.###.######.#.##.....##.##......##.#.#.#.#...############....#.....##....#...##...###.##....#.##....###.##..###..........####.#......####..##.......####.#.#.######......##....#####.#.##..#.##..............####.#..##..##.....#.####.#.#.#..###.#.#.##....##.##..##.#..#.....###.##..#.############.##.#.##..#.##......#.#####...#.#..#.##....#..##.######..#.###.######.#.....##...#....#.#...#####.#.#.#...#.##.#..######.#.##.#######.#.##...###.###..###.#.###....#.#.##.##.#...#.##...#.#.##........#...#..##.#.##.##...#.###.#.#......#.###...##........#.#.#.#.#.#.#...########.#....##...##.###.#.###.##.####.###..#.#.#.####....##.#.###.......#.####.#####.#.#.####.####.#.#..##.##....#.##.##..#######.#########........###......#...###.#.#.....#.......##.#.######.#...##.#
#.##......#..#####..#.###.##.##.##.###.#.#.#...#.####....##.##..#.##.#######.#.##..##..#....####.#.#.#..###...##...#..##.#.#........##..#.#.#.#####.##.#######..#####..##..##........###.#.###.#.....###...##.########.#####.#.##.#...###.##....##..........###.#.##..###.###..#.#.#.###.#...########...#.###.######.###.####.#...####.####..##.#..##..##..####.####.#....###.##.#...######.###.#####.......##.###.#.#####.#..##.#.#.###.#.#..##.###########.##.#.####.##.#.#####.##.#.#.#.####.#.######.##...#.###...##.#####.#....######..###.######.#####.#####.#####.###.#.###.#.##.##.#.###.##......##.#...###......##.####..#...##.#.#.#.....#.###.#.###.##.##......#.#.#....###.###..##.##....##.####.#...##.###.###..##.#.###.##.#####.##.#.####.##.#####..#..#..##.##...#.#.###.#.##..##.#....####.###...#.........###.#.###..#.#.#####.##..##.#.##..##....###.##.#.#.#.##.##.#.#......###.#####...#######............#.....####..##.#.#####..#####..............###.####...#.#.#.##.#.#.###...#.#...#####..#.#......#.#.#.#..#
###..#.#.##.##...##.#.#...#######..#...#...###.#####..#.##.....##.##.......#.#..##..##.##.#.#....#.#.##...#.#####.###.##...##.#.###....##.#.###..##.......#.###...##..####....#.####.#.#.####..#.######..####...##........##.#..#.#.#...#..##.#.##.###.#.##...#.#..##..##...##.#.###...#.##.##.#.##.###.#..##....##..######.###.#....#...##.##..##..#.####....#....#.#.######.##.#.#....##....#...#.###.###......#####.#.#.##..#.###..####.##.##...###.#.#.#..#.###.####..#........###......#.###....##.....#.......#....#####...#.##.#..##.....#....###.......##...#..#........####.##.######.###..#.#####.#.#...######.##....##.##.##########.##.#..##.#...#..#.##.###.##.####.#.......##.#####.##.####.#..######.##...######.#...#.#.....##..###....######...##.#.###.##..##.######...####.######.#..#########.##.#.####.......#.########...###..##..#..##.#..##.##..##...........#.#.#.###.##....###..###.#...##.###.###.#...##.###.#####.###...##..###..#.#.#.######...#....###.#######..#....##.#####.#.....##.###.#.#.#########.#
########.##..###....#.#.#......#######.##.##.....#.#.##.######.#####.###.###.#.###.#####..####.#.#.#..##.##.##.....##..##.###.#..#####..#.#...##....#.#.#.....##.####...###.#.#.######......#.##...##.#####.##.######.#.####.#.####.#.#########..#..####..#.#.#.#.####.#..#.##.#..##.#####........#...#.#.##..##..##.........##.#.##.###.##########.#.##...#.#########...##.########.######.#.#####..#....#.#######.##...#####....#####.##..####.#...........####...#.##.##.#.#.#.##...#.##.#...#.######.####.#####.##.#.......#.###..##....#####.########.#.###..#...###########.####......#..##..##...##..#.#.#..#...#..#.##.##.##....#.###########..###.#.#.#####..##..###....#.#.#.####..##.###...###.##......#.##.###.##...#.#####.##.####..##.#.###.....#..#.#...#..##.####.#.####..##.......####.....#.#....###...########....####.##.########..###..####.##..##....#.####.#.######..######.#.....##.#.#.####.###.######.######..##..#..#..#..##.....######......##.####.####.......#####.###....##################.#..##.#.#.#.#
#.###.#...##.####.#.######.#####.##.#..##.#..##.##...#..#........#.#..##..####...#.#..###...##.#.#.##..#.##.###.#.##..##..#...##...###.##.#.#..#.#.##.#.#.#.######....#.#...#.#.....##.#.#.##..###.......#...#....#####....#.#...##.#.##..##....###..##..##.#####...##.##.#.#..#.##......#.#.#.##...#########..######.##.#.######.##..##....#.##....#..###.#...##.#.##.#.....##..#####.#..###...##..##.####...###......#..#.#######......#####.####.#.#####.#######.#..#..#######.##.#.####...#####.##.######.....#.##.#####.########....##..........#.#.########.##.##.###.##.....######.#...####..###.###.###.####.###.##..######..##....#.#.##.#.##########.....####..######.##.###....##.#...##.#......###.####..#.....###.##....##..#.##.##..#.#.....##.#####.######.#..........###.####.#.##..##..#####.###.###..#....##.#######.#............##.####...##.###....##.#...#######..##.##.######.##.##.......#.#...#......#..##..#.####.##...##.####.####.#####.#.####...##....#.###.#..#######..##...##.#####..#....#.##........#.#
#...#...#.####....###......##..#......######.##.##.#.########.#.##...####....#.###.##...#####..#.#..##.#.##...#.#.###.#######.#..###.#############..#.###.#.....##.######.#.#.##.##..#####..##.##..#.###...###.##...##..######.#..#.#....#####.####.####..#...##..#.##..###.##.#.##.#.#.##.###..##.##.##.##.##...#.#...###......#..##..##.###.#####.####...#.#......###########.##..##...######....###...######.##.##.#####.....#.#.#########..###..#...#######.##....##.###.#.#####.#.##.###...###.........##.#.##..#.....###..##.##.######.#########.#..#.##.##..#...........###......#.#.#...###.###..##..##..##....#..##......##..#.##...........##..##.###.##....##....#.####.##..####....###..##.######....###.#.#.#...#.##.#####.##..#..#.##.##.#.##......#......#.##.#.#####...#....#.#..##.###........##.##..###.####.........#.########.#..#..##..###...###.#..#######.#.#.##.#......##.####.....#.#.#.....#.##.######..##.#...##.##.######.#........#.####....#.#..##.############.#.#.#.#######........##.########.#.#######
#.#...#.#...###.#.#...##.#..##...#.##.#.......########........#.####....##.###.###.####...##..##.#.##..###..#.#.###....###....##.......##..#.##..##.#..##.#.#.#..###..#####.###...##.....####...##.####..#.###..#.#..##.....##.##.#.##.#.....#.#.#...##..###.####.#..##..##.##.#.##.#.#.##...####.........#.##.###...#..####.##.#.####..#.#.#..###....##.#.#.#.##.###.#.#.#.#.#.##.##..###...###.#.....#.........#.####..##.#####......#.#..#.##.##.#.###.##.#..###.######.#.#...#.###......#.#.....##.#.#####.###..##.##.#####.#.......#.####.##...#..#.##.....#.####.#.#.#.#...#.#.#.####.#.#..##...#.##..####.##.#####.#..#.##.##.####..#.#.##.##....###...#..##.#.##.##....##..###....##.#...##.##......##.#...#.#.###.#.####...##..###...##########..##.#.#######.####..#.....#.#.#.####.#.##..#...###.##..####.###.......#######..........#.#.###..##...##.##...##.........#........#######...###.######.#.##.##..######.####....#.....####.###.#.##.#.#.....################.#..#####..#.#......##.##.##.##.....##.##...#....#.##
#.#.#.#.##.##...#.#.#.#..#.##..#.#######.##.#...#.#.#######.#.#..####.#######....###.###.###.#####..##.##..##.#.#####.##...#.####.#.##..##......##..##..#.#.#.##..#..##.##....##.#####.#...#######.##.##.#...######.##..#.#.##..######.##.####.#...#..####.....##.#.##..###.####.##.#.#.##.#..##..###.#.#....#...#.#.##...##..#.#....##.#.#...##.#.####..###.#..#...................##.....###.###.##.##.#######.....##.##....#.#.######.#.##.#..##.#..........##...#.#.##.#...###...##.##.#####.#######.....#.#########........#.#######.#.#.....#...##....###.#....#####.#.#####.###...##.#.####..#.#..##..##.........######..#..#...##.###########.#...#.#.##.#..####.##.#.##..##...##..#.#.###..###.########.###.#.#####....#.#..##..##.#..##......#####.#......##....##.#.#######.#....###.##.##.#...####.##......##.#.##.....####.#.###########.##.##.#.##..###.###.#.##.#...####.#..####.#.###.#....###.#..#####.........#...#####.##..#.#.....#.######.#.#..........##.##.....##.#.##.#...######.....######.##.....#.#.#.##....#
###.#.#.#...###.#.########.#####.##......##.###.#...........####...##.....#.##.#..##..#........##..###.#..###.#.#.....##.#.#.##...#######..#.######..##.#####..##.#.##..###.####...##..#.#...##.......##.#.#......###..##.####.####....##...##.##.###....###.#..#.#.#..##.....##..#.#.#.##.##..##...#####.#.##.#####..##.###.#####.#.##.#...#.#....#####.##..#.###.##.##.#.#.#.######..#.#.#.#.######..#.......#.###.......####.....#...........########.###.#..###.#........###.#.####..#...#.#.......##.#.##.......##..#.####.....###.#.#...##.#######.##...#.#.##..#.#..#..#########.###.#..###.##.####..####.######..#.####.#.##.######.#.##.#..#.###...##########.####.#.###.##.#..######...##...##########...#.#....##.######.##..###.##....####..##.######.#..#.#.###.#..#....##########.##.##.#.####.###..##.#.#..#..#.#.#....###.........##..####..#.###.##....###..#.##.########..........#.##.###.########.#########...#...#.#.###.....#.###.....####.#.######.####....#.#.#..#.##.#.#....##..#.###.#.####..#####.#.#..#.#.##
##..#.#.###.##..#.#.........##...##.###.##....#.##.##.#####.##.#.######.#.#.##.##..##...#.#.#.####.#...##...###.##.#.##..#.######...#.#.##.#####.#####....##..##.......##.#....#######.#######..#.##.##..#.##.#.######.##....#....###.####.##...###...##...####.#.####.#####.##..####.###...##.##.#....##########.#..#####.#....####..#.##.##.##.#.....#..##.#...#.##..#.###.#........####.......##.#######.#.####...#.###.##.#.#####.##.#.#.#.##..#.############.....####.#..........##.#.#...#.#.###.####.##.##.##.#..##.##...#.#.........######...##...#.#.#.#..##...##.#.##......##...####...#.#.....#.##........###......#.#.##........#.#....#######.####.##..#.....#.#..##..#.##.....##.#..#.#.......##...###.#.#####......###..##.#.####.########....######.##.#.##..#.##.####..#####.####..###...#...###..#.###.##.####.##.#####.#######....##.#######....##.###...##.#.........#.#.#.#.##....#......#.#.#.#....#.########.#...#...###.###...#####....###.#.#.#####...#.#######........#.#.###.##..........##.###.###.#.####..#
#..##.###....#.##.#.##.#.#.#####.##.##..##.#.##.#####.#.....#......##...#...##..#.#######.###....#.##.##..#.##..#..#..##.####.#...###........#.#.#.#.##.####.####.#.#.###.##.#....#.##.......##.#..###..##..###.....#######.##.##...#..##..##.#..##.#.##.#.##.#####..#....##..##.##.....##.##...#.#.##....##.##...##.......#.#.##.#####.#...#.#..##.####.###.#.#########.#...##.#.##.######.#.##..#.###.#######.######..##.........#...##########.##....##.####.###.######.##.##.###.#######.#.###.###....####..#..#.##.##..##.#####.#.#.#.###..##.####.#########.##########.##.###########....#.#.##.#.##..##.#.#.#...#.#.##.###..###.####.....######..##..#.#.##.##.###.#.#.####.#..##.#.#####.##.#.#.########..##.#.....##.##.#####....###....##...#.#.####...##..#.#..#.##.....#.##..........#.##...#...#...#.##...###.....###......###############..#.#.####.###...##.##..#.#.#.#.#.#######..###.#####.#.........##..........#.#.#.#.#...#...#.#...##########.......#.##.######.##..##.##.####.#.#.#####.###.####......##.#..###.##
##.##.#...#.##..######.#.###.##..##.###..#.#..#.#.#...##.#.##.##.#..###.#.#..#.##.##.##.....##.##########.#####.#.##.##..#......#.....########...#...##..#.###.##.#.#......#.#.#.##.##.##.####..##...##..##..###.#.##..##...##..##.###..##..###.##..#.#..#.......###...##.######.#..#.####.###########.##.#.....#####.#.#.##.#......######.##.#.##.....####..#........##.###.##.###....#.########...................##.##..##.#.##...#.....##.#.#.##.#####.#.#......##...####..#..##....#.####..##...#######.##########..##.##.....#######.....##.......#.##.#.####.###.#.##...........##.##########..####.##..#.#.#.#######..##..##.....####.#...#.#..####.............#####..##..#.##..#.....#..#####.....##...###.##.####...#.....#.#.#######....#..........#..#.#####.#.##.###.#....#.#.##########.########.#..###...##.#.#######.#..#.......###..##........#.#...########.#.#.#.#.#.##.#.###############.#.##.#.###.#.#.##.#######.###.###.#.#######....##..#.#.#.###.##.#.#.#..##.###.##...####.....##....####.##.#.#..####...#.##
#..########.########.#.#..##....##....##.#.##.#.#...#..###.#...#.#.##...#.####..###.....#.#.##......##........###.##..#.##.#.##.#.#.#..........#...#####....#...#.#.#.#.#.####.#.....###.....##.####.#..####..##.#....#####..#.##...###.###...#..####.#.###.######.##.##.......#.##.#.##....#.#.##.#.####...#########.#.#..#.#.#.##......#..###..##.##....##.#.#.#.##.####....#...##.#........##..#.#.##.#.#.#########.###.#################......#......#.#...##.#.##.#####..#######.#...#.###.#..#....#.......#####.#.###.#..######....##.##....###.#.#...........#.#.#.####.###.#####....###.##...###.#####.#####.......#.####..##.##....####.##.#.###.####.#.#########.#######.#..####.#.###.#######.##..#.#...#..#....##.##.#.#.###....##...#.###.###.##.##.##..##...####.#####.######.....#.##....####.##.#.###..#.##.#.......#.##...#####...#.###.###.#.##.###......##..###.###.#.............#.#...####..#.#...#.#####...#.#.##...#...#.####.#.##.##..#.########.#.##.....#.##....#.##.###.##.#############..##########.##.##..#
##.#.#........###.#....#######.##..#####.#.####.##.###.#...##.##.#..###.#...######..##.##.###..####..#####.##.#...##.##.#..####.#.#.##.##.######.#...#.##.#...###.###.#.#.#.####.#.#..###.####....#####..#.#.#####.#.##.##..####..#..##..####.#.##....#...#.........#..##.#.####.##.###..##...#..#....#.##.##.....##..#.##.########.###.##.##...###..##.###..#.########.###.###.######.#.######..##.#.######..###....#..##....###..##.#.##...####.#.######...######........####.....###.#....#####.####...#####....#..#...####.####.#.##..#.###.#..####...###########.#.....##########.##.###....######...#.#......#.#.#######....##..##.##....#......#.#.##########.#.#.....#..#####...##.#..##..#.#.##############.##.##.##.######...##.#####.##..##...###########..##.###......#.......##.####.#####......####.#.##.#..#.#.####.##.##.###########.##....#.#.##.##..#.#.####.##....#.##.####.###.#.....#.#.#####.#.#.#.##.####......############.#.......##....##.#.#....##.#####.#..######....#.#...#.##...#.#.##.#.#.#.##.#..###..##
#..#...#.#.#.##.#...##....##....#.##.....#.#.#######.#.##.##...#.#.####.#.#..##..####..##...##....##.#......####.##...###.##....#.#..#.##.....####.#....#.#.#...#..##.#.#...#.######.##......##.#.....##.#.......#.#.....####....###.#####....#.#..##.###.#.##.#.####.##..#....####.#...###.#...##.##....#....###..##.###...###...#...######..#.##..#######.##..#.##.#...##.##...#...#.#....####..#.#...#####.....#.##.##..####.#.##..#.##.###..#...#......#......#.#.#########.############..##.#....###..######.##.##.#..##.....#.#..######.###.##....####.####..#....##.##.#......#.##.##..####.##.#.###.###.#.##.#......#####.###..#.##.#.##.#.##.........####.......###...##.#.#.#.#..#.####.......#.....#.#########..##.#.#.####.##.##....##.###.#####....#.#####....###.##...#.########.##....##.###.##..#....#.#.##.#..########.........##.#....##.###..#.#..######.####..##.#.#.....#..#######.##.....##..#.###.......#.#.#######.#.#.##..#.###########..#.#.#.##......#.#.##...#.#####.....#......#..........#........########
####.#.#.#.###....#..###.#####.#########.###...........##.#..#.#####....#.##....##..##.##.#####.#########.####.####.#.##..#..#.##.#.##..##.##...##.##########.###.#####.#.#........#####.#.#..#.########.#.#.#.#########...####.##......##.##.#.##.#....###.##.#....#..##.####.##.#####.##..#.#....##########...#.##...##.#..#..#.##.###...##.###..###.......##........#.#..####...#.#.#.####.#####.###..#.###############.........#.##..#..##.##.#...#############.#......#......#.#.##.####....#.#########...#####..#########.#.....####.##.#######.#.........##...##..###....######.##..##....#.##.#.##...####..#.#.#.####.###.#...################.#.####..#...#.#.#...#.#......#####.#####.##.#.##...#.#.#........###.##.......##..#.##.##..###.........#.##...#.##.####...##.##.....#.#.....####....#....#########.##.##....#.######.#.##......##..#####.##.##....###.#.######.###.#.######.#...###..#.#..####...#.##.#.##.#.........#.#....##.##.#....###.##......#####.##....#.#.......#.##.##.####.#.##.#######.######........#
#....#.#.#.#####.###.##....#.#...##.#.....##.#########.#####.#.....##.#.#.##.#.##..###.##...##......#.#........##...#.##.#####..#.#.##.##..##.###........##.....#..##...###.#.#.##....##.###.##........#.#.#.#.......#####...##.##.#.#.##..##.#######.#######..#.#.##.##...##.......##...##.#.##.#..##.....##.#####..#..###.##.#####.....#.##..##.##.######.####.###.######....##.####.#..........######.....###.#.#.######.###.##......##.###.######.#.###......#####.#####.##.#...........#.####...........###.#.#.###.##.##..###.#....#.#..#.###.###.#.#.#######.####...##.####.....##.###.####.##.#....###..#.##.#.######...#.#.#................#.#....##...###.#.#.#####.#.##....##.....#.##.#.##.#.#####.######..######.##.#..##.####..##...#.#.#########..###..#.#....#.#...#######.#.#####..##.###.##...####.##.##..##.###.....####.##.##.#..##.....#.######.#...#.#.#....#.##..#..........#.#########....#.###.#..#..###.#.#.#.#.....##.........####.#####.#########....##...#.#.##.#####..#.######.#.....####......##.#.#####
##.#.#.#.###.##..##..###.#.#...#.##.##.#.##..##...........##.##.#.#####.#.#..#..##.....##.#####.#####...#.##.######.###..##....####..#.##.##....##.#.########.####.#..#..#########.#.##...##..#.##.#.###.#.#.#.###.#....############.#..####...##...#......#####.#.##.##.#..###.#.#.##.###..#.##.##....#####......#####...#......##..##.##.###..#.#...##......##...#..#.##..#.##....#####.#.#.#.#.###.##.##.##.#.#.#.#.##.....#..##.#.#....#....##.##...#...######.#.#.......##.##.#.#################.#####.###.............##..####.####.#.##.#.#.#####.#....#.#....######.......#.###......##.#..#...##.....##.####........#######.#.##.#.#.#.#########.##..#..##.###.....#.#.#..#.##..#.#.#.#..#..#.#..#.#....#####.....##..#.##..#....#.####.##.#........##.##.#.##.#.####.#.#......##.........##....#.##.#......####..##......#.###..###..##.#.#########..##....#.#.......########.#.##.##.####.#.#.....##.#.#...###.##.###############.###########...##..#.#..........#.######.#########.##..##.....##.###.#......#.#######.....#
#..#.#####......####..##.####.####...#.#..##.##.#####.##.##..#..#####...#.##.########.##....##.....######..#...##....###..####.##...##..#..##.#..#.#.......##...#####.##.......#.#####..#..##.#..#.#######.###...####.###.#.#.##.#...##....##.#####.#.######...#.#..###..##..##.#.#.##..###.#..#..#.##.#.#.##########.##.##.#.##############...##...#..#####.####.###....##.#..##.#..##.#.#########......##.............########..#.######...##.....#.#...#..#.#.#...##.#.#.#####..#...####.##.....##.....##.....#.##.###.#.####...##....#.#............#.##.#.....####..#...#########.#.####..#.#.##.#######.##...###.#.#.#.###.#.####..###.#.#.....##.#####.##.##....##.########.##..##.#.#...##.#.##.##.....#.##..##.###############.#.####.##..#.#.#.#.##.........####.###..###.######..##.###.####.###.##.####.#....##..##.##.####.#.####.#####.........##.####.####.#.#.#.....##...#..#..###........###.##.###.#...#.##.#...........###...........#.#..##.#.#.########.#...##....##.#......#.####.##..####..#.#.#######...####.###
##.###.....#.#.##.#..##..#.......#.#...#.##...###.....##.###.##...##..#.#.#....#.##....##.###..##.##..##..##.#####.###...##.....##.##..#####..#.#####.##.#.##.###.#####..#.#.#......##.##.##..#.##.....##..##..####.#............##.####.#.##.##.............###.#.#####..##..#.###.##.##...#.##.##..#.........#.##....###..#..##.#.#.....##.####.####.#.....#.#....#.##.##.#.##..##.#..#....#.#.#..#.##..##.##.#.#####...####.####......#.#.##.###.#.##.###.....#.########...######.#.........#######.#.##..#.#.#..#...######...#..##.#...#.##########.#..####.##.###..##.#######..##......####.#.........##..##.##.###.#.###.#.#...###..####.##.##........#.###############.##...##.#####.#.#..#.#.##..##.##.#.#..##............#.#######.....##.#.#.#####..####.##...##.#...##.......###.#########.####..##....#.####.##.######.#.##....#.#...###.#.####.##...###....###.###.###..#.#.##.##..##.##.#.#..####....#.##.####....##.#.#.#.##.#.#.#.##.##.####.........##.##.###.#..##.#......#.#.##.#.##.###....######.........#....#..##
##..##.#.###.#....##..#######.#.#####.######.##...##.#####....#.#####.#.#.##.###.#..#.###.#...##...##....##...#.#....#.#.###.#.##...#.##...##.#..##.#.#..#.#.......#.##.##.#.#.#.##..#.##.#####.##.#######..##......##.###.##.#######..###.##..#.#.###.##.##...#.###.....##..##...#..######.####.##.###.#.#.##......#.##########......#####..#.......###.#.#...###.##..#.##.#..##.##...##.##.....##.#..##.##..###.....#.#........##.#.#.##.#.#....#.#.##.##..#.#.........##.###.#.##.#.##.########.#.#.####.##.########...##.########..#.#........#.#.#######.#.##...##.....##...#.##..#.#######...###.############....#.#.........#...##....###...#.#.#.##.#..###.####.##.....#.#.##..#.#..#.##.#.#..#.##..##.#...#####.#.#.#.##.....##.##.########.#.....##...#######..#.#.#..##.#.####......#.##.#.##.##.##.###########.....##.......##...#.#...#.#.########.##...#.###....#...#.##.#.##..##.#####.#.####.###.#.#.#.....##.#..#.#.#.#.##.########.##....#.#.##.##.........####.##.#.###.#########..#..####.####.###.#####.####.###..#
#..###.###...##.####.##.#.....#..##.....##....###.#..##.####.##...#.########..##...##...###.#..##.##..##..##.##.##.#######.#.#..##.##....######.##..###.##.#.#.#.#....#..#.#.#.#..####..#....##..#......##.##..#.#.#######..#.........##...##.####.##...#..#.###...##.#.###.####.##.###.#......#..#...#.######.#.#.##.##.#.#.#.#.######.#######.#.##.##..###.###....######..#.##..##.#..#..#.#.####.#.##...##..#####.##.###.##.#.##.###########.#####..#..##.###.##.##########.....#.#..#.....#......#..##..##.##.##.##.####..#.#...##.#.#.##.#.#.........#...###..#....#.#....#......#####.#....#...###.#.#..#.##..#.####.#.####.##.#..#.##...##.####.#.##.##..........##.#######..##...#.##..#####.########..#.###.##############.#.............##.##.#.##..###.#.####.#.###.###.#......#.##............####..##.##...##.#.#.####.#.############.#.#......##...##.##...###.###.####..#.#..##...##.###.......##.######.##.##.############.....#...#..#.#.##.#.##.#..###.######.####.#..####..##.###.#####.#####....##.#####....###.####
##.#.#.#...#.#..##......###.#.####..#.#..#######..##.##.......#.#...##.##....###.###..#.##..#.##...##..##..###......#.#......#.##...##.#..##.#.....##...####.###.#.##.#.##.#.#.#.######.##.#..#.##.#.####...####.#.......#.##.############.##..##..##.###.##...#.###..#...###.#...#.##....##.######.#.#......###.#.##.....................##....###...##.#.....##.#....##########.#..#.##.##.####.###..###..##.....###...##..#.#..####.#....##...#.###.##.##...#..#....#...#.#.#######.##.#.#...##.###.######.........#......##...#..#####..#.#.##.##.#.#...#...##.#.##.####.#.#.####...#.#...#####.###......##.###.##########.########.#########...####.##.##.###########.#.##.##########..##.###..........#.##........#.#.#.##.#####.#########.##..##.#..##..........#####.....#.##.#########.#.##.##.#####..##...#.####.#.#..#######.#.....#.####.#.#.##..##.##...#.#...#..##..###.##.##..#.#....########.##.......######......#.#.#.##.#.#...#.##.#.#.##.#..####...#...........#.##..###.##.......##.....#.#.####......#.##.....####
##...####.####.###.##.#.#...#..#.####.##..###.#..##...##.#.#.##.###.#...####.##...###.#####.#####.##..######...#.#.##...#.#.##.###.##..#.##..##.##..###....#..##.######..#.#.#.#......#.#..######..#....#.#...##.######.##.##.......###.##.#..####.##..##..#.###...##.#.#...#.##.##..####..#..#.#####.#.######...###..#.##.##.#.#.#.##.#.######...##.##..##.##..###.####.#.#.##.#.#.##.##..#.......##.##...####.##...###.##.##.##..#.....#######.....###..##.####.##.#...#...........###..##############..#####.####.##.##.###..####.....#.##.###...#############..#..#....#.###...####.....#....##.....#.##.........#.#.##.##.#...########...##..#....####.##....................###.#####.##...##.##.#.#.##.#..#.#.##........#.#.##......##..#..##.####.####.###.#.#..#.##.#.#.#.#..........######..#.....#####.###.##.######.........#.#.###...#################.########.####...#.####..####.##........#..##.########.#..#.##..........#.#.#.#.#..###..#.##...##.#.##.##.#.#.#.#..##........##.####..###.....#######.########.###..#
#..#.#....#.##.##...#.#.##.###....###..##.#.....####.##..#.#..#..######....#..#.#.#.#....##.##.....##.#.##.##.##.#.#..#.#.#.#....#..##.#.#..##..#..##.#.##.##..#......####.#.#.#.#.##.####......#.##.#.######.##......#..######.###.....##.#.##.#..##.####.#.#####.##.#####...##..#.###...###.....##..#.....##.#...##.####..#.#.###..#.#..#.#...###...##.##.###...#......#.#....#.#.######.#.#.#.#..#####.##.####..###.####..#.###...#.#########.###########...##.##.##.###.#.###########......#..#....#.##.###...#############...#####.##..#...###...##.###.####.##.###.#.#...#.###.#####.##.#.##..#.###..#.##.#.##.............###.#.#....#..##.#######.#.##.#.########.#.#######.......###..###..##.#.#.#####.#.#..##.#.###......###.##....#####.....###..#...###.##....#.#.#.#####.##.######.#.#.##.#####.#.#.##......#.#.########.##.#..##.#..####.#..#..##.####.#.####....#.#.#...###...##.###.#.##.###..#..........##.#..##.#.###########.#.##..##.#####.######.##..###.########..#.#.########...####.###.....###.##.#...#.....##
##.######.#.....##.##.#.#..#...##...###########.#....#######.###.#..###.##...##.#.#...####..####.###.......##.##.#.##.#.#.#.#.#.##.##..#...##..###....#..#..#.###.#.#..##..#.#.#.######....#.#.##..#.#.##.....##.#######......#...#.##.###.#....#.##...#.#.#.....#.##.....#.###..####...#..##.##.##..###.#######.####....#.####...#.#######...#...##.##..##...#######.##.....######.....##.#.#.####..##.#.##.#.##.####.##.####..##.######...##....#.##.#.#.#####...###..#.###...........########.##.##.#..#.#.#.#..##..##.#.....###.#.#########.#...#...........######...##########......######..##.#...#.####..#..###.#.#.#.#.#..#......#######......#.#.######........#.#.........#.######..#####..###.#..##.###.#.#####.##..#.##..#######.##.##..#.#...##.######...##.###.###.##....##..........#.##...###.#....#.####......#....####..#####.####.#....##.###...##......#.##.#.#.#.#...#.#.##..##.#..#..##.###.#.##.#######.###.#....###.#.####.##.##......#....##...##.###....#.####.###..###.#...#....###.#.#.###.#......#####.#.##
#..#...####.##.##...#.########.###.#######.#....##.#..###.#....###.##...##.#..#.#.#.#....##..##..##..#.##.###..#.###..#.#.###.#..#.#..###.######.##.######.##.#.############.#.#.....#####.###..#.####..#.##.###.......#.#.#.####.#..#.#.###.##.#.###.##...##.#########.#.#...##..##..#.#.##...#..##...#......##..##..#.##...###.####.#.#.###.##.##..##.##..#...##.######.#.####..#.#.#..#.#.#####..##..........####.........##.##........#####.#..............#.#...##.....####.#.##.#####..#.......####.#.#.#######.##....#.#.......##.###.#####.##.###.#.#.#......###......##....##.#....######################..##.#.#.######...##.#.....##########......######.########.##.#.#.#....#.##.....##..##.####....###....##..##.#.###...########..##.#.#.#.......#.###.##...#####.###.#.##.#######.######.##.....####.#.####.####.####.###..#.#...###.##.####.#.#.####.###.#######.#.#.#.#####..##.#..#.######.##..#..#..##.#.....######.......#.##.######.##.##.######.###...##.#.....##...##.#.....##########.#####...###.##..#.####..#
##.#.#..###.##.###.##..##...#....#.....##....#.##..##.#.....#.##...#..#.##.#.##.#####.#.##..##..##..##.##...#.#######.#.#####.##.#.##.##....#.#..##......#.##....#.#.###.########.##..#.##..#####....##.###....##.##.#######....#.#.##.#...#..#.#.#....##.##....#.##..#.#.#.#####..##.###.#..#.#.##..###.########..##.###..#..##...##.......#..#####.##..##.#.#.......#.#.#......##.#.#.##.#.....#######.#.##.#..#...##.##########.#####.##..##.####.#.#.#.#.#####.###..#############.......##.##.##..##..#...##.#.#.....#.##.##.#.##..........#.###...###########.#...##.###..##.######.####.##..........##.#.#.##.##.#.#....##..#.##.#######.####.....####...#########...#..#####.##.#...##.#.#.##.##...###.############.###.#...#.#..##.##.##..#.#.###.#.#.#...########.....#.#...####.##.##.######.########...##......#.#..#...##.#.#.##...#...#.##.#.#..#...#.#...##.#.##.##.#.#.#....#####..#.##.#.##.#####.#####....###.#.....##.#######..#......#..#.##....#.#.##..#..####.#######..#...###.....##.#.#.##.#..#...#..##......##.#
#..####.#....###...###.####...##.##.#####.#.##..##.##.####.#####.#...##..###.##.##....#.##.####.##.######.######......#.##.....#.###..#..#.##.#.##############.#...#.#.#.#.##.#....##.#.###.....##.###....##.#..#..#...##.##.##.########.#.##.#.#.##.#.#...##.###....##.#.#....##.##....#.#.##.#..##...#.##.#.#.####..###.##.##..#..#.##.#####...##..###.#..#.#.####.##.###.#.#.##########.#.#.#....##...#.##.##...###....#.#.##.#...######.######...#.#.###.....#...##..##.....#...##.##.#.....#####..##...####.#...#.#.####..#.#..##.##.#.##.#...#.#.....#.#.###.##.##..####.....#...#.........#.##.#.#.........#..########..##.#..#..............#.#..##..#.........#.####.....#.##.#.#..###.#..#..###..............#.###...#.#.####..........##.#...#########......##..##.##.###.##............#.#...#.#.#..#....#########...###.........#######.#..#...##.###.#.####.......#########.##...##.####.......##.#################.####........#.#####.#.#.##..##.#.#....#.##.########.#.###.#.#...#.#####...........###.#######.#.#.####
##.##.#...########..##.#....#.####....#.#.###..######.##.......#.###.##.##...##..####.#.##...##.#..##.....#.##.####.#.#######.####...###.#....#.....#####.#..###.#...#........#.#.##......#######....##.#..###.###.###.....#..####.##.#..#..###.####.####.###.#...#.#######.##.#...##.#.#.#.##.######.####.......#.##...####..##.##...##.....#.#..##...####.#.#....#.....##.#.#..........#.#.#.#.##..##.####..##.#...##.#......#.#.#....#.#.#....#.#.#.#...#.#.#.###.###..#.###...#..#..#.#.###.....##....#..#.#...#.######.##.#.####..######....#####.#.#.......#..#.###....#####...####.##.#####..######.#.#.#.######.#.#################.###.###.####..#######.##.#...#.####.########.#.####.#.##.##.#.###.#.#.#.##...#####.#.#....##.###.#.#..###.#......#.#..##.#####..#.####....#.#.###.######...###...##.##.####.#.##.#.####..##.#########.##.##...###...........##.####..#.#.##......#.#.....##.####.##..##..#.##.##.##.###.#####.#.###...###.#.#..##.#########.#.####..#.#.#.#.#.###.#.#.#.......##.##.#.###.###..#.########.##
#..#....###........###.######...###.#...#####.##......#..##.######...##..##.###.####..#.##.###..#.#######....#....###.##.........##.###..#.##...#.#.........####.###...#.#.#.####..##.#.#...###.##########..##...#...#.#####.####...#.#.#########....#......#...###.....##..#####.##..#.#.#.#....#.#.......#######..#.#....#####.##.#..####.##.#.##..########.#.#.##.#.#..#.#.#.#.#.######.###.#..#.##.....##.##.#########.###...####.#.......##.#####.#.#.#.#.#...#..###.....##.##.###################.####.....######.#....###....##......#.#.##.###########.#.##.#...##.#...#########..########.###...###.#.#....##.......#............#..##...#######.......######.#......#.##.##.##.#....###.####.....##.#.######.#.....###.##.###....#.#.##...#####.##...##..#.....#.##..##..#.##.#.##....#.##.#...###.#..######..#..#.#..##..######.###.#...#.#..#...##.##.#.#.#..#...###...#..###.#.##.##.#.##....##.##.###.##.....#.....#......###.#.#.###.###.#.#####.#.#.#.#####.#..##.#.#.#....####.#.##.##.#..#..#.#.##..###.##..###..#...#
#.###.#.#...##.#.#...#####....#..##.#.#..##....##.######.##....####.####.#..#...#....##.##...####..#.##...####.####...#..##.#.#.###...##.#..#.#####.#.#.###.#....####.######..##..##..#.###.............###..#.#.#.#.#.....#......#.......#.#..####.###.#.#.##.########..##...##..#####.###.##.###...#.###.........##.#.#####..#.##.#######..#.#..##..##.##...#.#.####.#.##.###.#.#.....##..##.##.#..##.#.##..#.....#.##.#...###....#.#.#.#.#######.########.#.#.####.#...###########.#..#.#........##.....#.######.##....##...#.##..###.##.#.#..#.#........####.####.######.#.........##........#.....#...#.########..#####...##.#.##.####.####.###..#.####.#.##...####.#.##.#.....#..####.#.##.....#.##.###.#..#.#.#####.#..##.##...####.#.#.##.################.####.####..###.##.##.#.##.##....#.#####.#.#.##.#..##...##.#.####..#.#.#.#.#...###.#.######..########.####..##.#...##.#.#..#..############.....#.....###...#.###.########......##..######.###.....#..#.##.##.#........####..#.#..#.#..#.#####.#....##.#..##.#.##.#.###
###...#####.#..#.#.#..##.###.###.##.#.##.#..##..#.#......##.#.##.....#.####.#######.##..#..#..##..##....#........####.##..#####.##..#.##.#.##.....#####...####.#....#......##.###..##.#..##.#.##.#.###.##...##.#.#.###.######.#.#.##.##.###.#.##.##..##.#.#.#.........#.##..#####...##....#.##..####.#..###.#.#.##..###...##..####........#.########.##.....#.###....#.#..#..##.#.##.##..##.#######.##..#..#####.##......###..##.####.###.#.....##.........#.#.#....#.#.#....########.##.....#.########.#.##....#.#.##.#############..##..#.#.##.....######.#..#...##...##...#.###.##.#######.#.#####.##########..#.#.##.########.####....#.#.##.....##.##.########...##.#.#######.##.###.###.###.######....####........##.#.#####..#....#####..####..#.....#...##.######..####....####.#.##..#.##....#.##.#....#.#.#####..#.#......##.#.#.....#.#.........###.#.#....#....#.######.##..#.#######..##....#.###.#...#.#..##.#.#.....####.#.##.###..##..##.##.#.###.###.##.##..#.##.####.#####.##.#.#######....##.#.####..#.###....#.#.###
#######.....##.#.#.####.......##.##.###..##..######.#.##.##.#####.##...##.#.#........#.##.##.####..##.#.##.##.##..##..###.#.....##.##.####.#..##.###.##.#....#.##.########.####.#.##..##..#.#.############.#####.#..##....#.#.###.##.##...........####..#.####.#.#############....#####.#######....####..####################....##.#.#.######.....#..###.#.#.##..######.##.#####.##..#.#####.#..##..##.#.#####...##.##.###..##.....#####.#.######.####.#.##.####.#.######.#..##.##.#.##.##.##..####.####..##.#............###.##..##..#.##.#.##.#.#......#...##.#.##.###..#.#...#######.########.#####.#.####.##.#.#.......###.#....#.#.####.##.###..#.....#.#.##..####.#.......#........#####.#....##..#.###.#.#.###.##..#....###.#.##.....##.#..##...###...####.....##.#####.#.##....#..#.##.##.####.##...####.#.##..##.....#.##........##.##...##.#.##.#.#.#.#.####.#.##.##.#.###..##.###.#.##.#..####...###.#.###.###.#.#.###.........#...##..##.#...#.#..##.........##.#.#....##.....#.######.#..##.##..###.##.##.#.#.##.###.#.#.#
#.#######.#..#.###.#..######.##..##.####.###...##...#.##.##..##.#.#..###....#.#.###.##.##.##.#.#..###.#.#...########.##...#.###.##.##..##..#.##.......#.####.###...#.#######.#..#..######.#.#..........##......#.##..#.##...#...#.#####.#.##.##.#....#.##.##...#.......#.....#.#.####....#.##.##.#.##.##...#...##.###.##......#####.###.##.#.##.#.##.###..###..##....######...#######.#..#.#....###.##..#.....##.##...#...#.####.#.####.###....#.....######.....###.....##.##.....#.......#######..#....##..#.#.#.#.#.######......####.#..###..#.#.##.#.#.#.####.#.##...##.###.#..#.##.#.......#...........#..........#.#.#.....####.#.#.......########.###...#..##.##.#.#.########.#.#.###.##..########.#.#.#.###.###.##.##.##..##.#..#.#########....#...#.###....###........#.#..##.#.#.##.##.#..........#####.....#.##..#.######.#.#.#####..#############.....#.##.######.##.......#####.#.#......##....#...###..####...#.#...##.##.#.#.#.#####..#...#...#.####.########......#.####.##....##.#..##.##..#########.............#.#...#
#.........#.####...##..##.#...####....##.#...######.#.##..##....####.##..##.###.#....#.#######...###..#.#.#..##.##.#.#..#.#.#...##..####..##..##.##.#.#.####..####........#....#####.#.######.###.##.#.##.##.#.###..####..#.#.###...##..#..#..#.#.##.#######.#.#.#.#.#...#.#.#.#.#....##....#.#######.#..#...###....#.##.########.#####.........###....##...##.##.##....#.#.#.......####.....##...#.###.#.###.#...#.#####.#.##...#....#.####.#...#.###.#..##.##...##.#.##..####.#...####.###.##.##...####..##.#.#.#.#.....##.#######.####..##############.#....######.#..#.##..####......#.#.#...#.#########.#######.######.########.#.#.#.######.....#...#####.###....#.#.###.##########.#..##..#.#.#####......##...#..#.##..##.##.#.##....##.##..#.####.######.#...##.#.#######.##..#.#.##.##.#.##.#####...#...###......##..#...#.#.#.....##....##.#.##.#..#.#.......#.#.####.####.###........#########.####..###..#####.###.###...#.#####....##.##.#######..#.#..#..#.##.###.################...##...##....#.###..##.#.##.#.#.....#.#
##.##.#.#.###.##.#####......#...###.#.##.#.#...#.##.#..##..##.#####..###..#.##..#.##.#.....#####.#...##.#.##..#....####.#.#.###..##.###..####.#...###.#....####....#.#.####.####.#.#.#......#..##..#.#..#..#.#...##..###.####.##..#####.####.####.#........###.#.#####.#######.####.#####.###.....##....##.#.....####.#...............##.#.#.##...#.#.###.#.##.##.#####...#.#.##.##....#####.##.###..##.#.###.##.##.##..###..##.###.#......#.#.###.......#######.#####..##....#####....#.#.#..#.#..#....##.##.#.#####.#.#........#.....###.............##.#.##......#.#.##..##......#.#.##.#.#.#.####.#..#.#.######.......#........############...#####.#####.#.....######...#.#.#.#.#..#.#.####......##...#.#.##..#.#.##..##..######.##.##.....##.####....##.####.#.##.#......##.#####.#.##..#.#.##.....#.#...#..###.#.#####...#.#.###.##.##..##...........#####.####...#.##.#.##.###.####.#######...#.#.#.###..###....##..##...##.#####.##.#.##.......###.#.##.#.##.##......#.#.#.##.#.######..#.#..#####.###.#.#.#####.##.#.#.#.#.#.#
#..#..#.#.#......##.#..####.#.#..####..######.##....##.#..###.....##..##.######.#..#.##.####.....##.###.#####...#.###.###.######.##...##..##..#.#...#.#.##...##.##.#####.##............#.##.##..####.#.##.####.#..#.##.....##..##..#.##...####.#####.###.#...###...##......#######....#.#.....#.#..##.#.##.#.#.###......#.######.#.##..#.#.###..#######...#.#..#......##.####.##.###.#...#####...###.##.###...##..#....#####.#..##..#.#.#.##.#...##.######.##.#####..####..##.....#.######.#.##.#.#######...###....##.#.#######.##.#####.############.##..#.##.###.##.###..####.#.#####..###.#.#..##....##.#......##.##.#.##.########..##.#...###...##..#.#.#.#.##.####.####.........#.##....#.#.########.##.#..##############......#.##..#.#.#.......##.#......##.#.##.#.#.####..#.....#..##.###..##.#.###########.###..#.###.#######...#####.########.#.###.##.....#.#....#....#...#..#.#.##.##.#.###.......##...########.##.###.........#.#.#..##.####................#.#.##......#..........####.###.#####..#.......##########.#####
#.##.##.####.######.##.#....####.#.###..##.....##.#.##.#.##...#.#.#..###.#.#....#.####....##.#.#.#..#.####....######.......##....##.#####.##.##.#.#####..#.#..###...........###.##.##.#########...##.#.##..##..#.##..##.#.###.####....#.#........##....####.#####.####.###....##...##.#...##.#######..#.##.#.#.....##.#.#..#######.##.#########.##.#.##.#.#######.###..###.####...######.....###...####.##..#..#.###.#....####.####.#.#########.##.......#.......#..###...####.##.#....##.......#..##.#.###..##########.......#.......#.......##...########..###########..##.#..#.....###########.##.####....#.#.########..#..#..##.#.##....###.#.#####.#........#......#.###.########.##.####........##..##.##...#.###.####...#.####.#..##.#.##.#.#######.##.###..#.##.###.#..#####.##.#.##..####.##.#.#.#....###..####.....###.#.#.#.#....##......#####......#.#.###.##.#...##...###.##.#.#...........##.#.#####...##.#.####...###.##.#.##.####.##......#.####.###########.###.#.###.########.#.#......#.#.#.##.#########.###.##...###
####.#####.#.##......#.##.#...##.....#.######.##..####.#..##.####.#.##...#...##.#.#.#..#.##..#.#.##...##...##...##.##.###.#####.##...#..#..#.####...##..##.##.#...##.##.#.########..#.#.##.##.######.#..##..#.##.##.##..#...###.##.######.#####.####.###.....#.#####....##.##.###.##..#.#..#.......##.#.#..#.###.#..#.######.....#.##..##.##.##.......#######.#.....#####...###.#......#.##.##.###..#.###..##.##..##.######.####.####.........#..##.#.####.#######.##.#.#.##....#.##.#..#.#.#.###.##..#.######....##.############.#.#.#.#####....###.#.#.###......#.##.#.###...###.##..........##.......#.#########.....#######.##..#....##..##.#..#.#..#.#.#.#.#########...####.##.#..........##.#######..######....#.....##.##....#.#.###.#..###......##.##...##.#.##..##...####.#.####..##.#.#...###.....####.##....#.#.#.....#.#.###.########.#.....#####.####.#.####.#####..#......#.....#.##.###########...#.#.........#.###....###..#.#....##.###.##...##..........##..##.#.......######.....######.#.#..........#.#..#...###...#
##.....##..#.####.##...####.######.#.###..###.###.##...#.##....##.#.#..###.#.##.###...######.#.#..##.####.##..#.....###....##....#.#...#####..##..####.##...###.#.##..#.#........#.##..............#.##.#..########.#..##.#.....##.....##....#####.....###.#.....#.###.########.#.#######.###.#.#####.#.##.#..##.#.##........#.###..##........##.#.##..##.......#.#...#.#.###.###.#.####.##......##....###.#...####....#.#...###...##.##.#.##.#.##..#.#...............#.#.#..#.##..#.##...#.#........##.#.##.#.#####.#.........######......##.##.......#.#.####.#......###...#.##...#######.#.##..#.#.#......####.#.##.###..##...##.#.########....##.##.#.#####..#####....####.#......#.######..######..##......####...########..#.####...#.##...##.###.#..#..###..###..##..####.#.....##.#####...#..##.###.........####.#.#.#####....##........####.##.....###.......##....######.##.#...###.####.##..........#.#########.#.#.#####.###..##.#.#.##...##.##.#..##.##.##.########.#.###.#......#####......#.#.#.##.#.#.###.#.##.#######.#
#..#.#####....##..######.##..##....#...##.......###..#.#.###.#.##.####...######..##.#....##..###.##..#.....##.###.#..####.######.####.##.##..##..###....###.###.#.##.##.###.#.#.##.##.#.###.#####.########.#.##.#.#.##.##.##.####..#.#####.#.....##.##.##..##.##.....#.......##....###......#.#..##...#.##.#.##..#..##.#.#.#.#...#.##..##.#.#.####..##.##.####.####.###....#...##.#....#..##.#####..#.##.###.#...#####.....#.....###...#.##########.#...####.#.#.#.####.#.#.##.##.####..#######.##.#...................#.#.###....##############.#.#.#......######.#.#...###.#.##.#.......#.#.#..##.#.#.##.###.#.....#...##..##.##..#.#......##.###........#.#####.....##........######....####..#.....#####.##....#.#....##.##.####..#.#.#..#.###....######.#####.####..##...#..##.#.##.....##.#.##.##...##.##.########.#.#.......########.###....####.#######.#.#.#..####.....##..#.#.#...#....#....##.##.#.##....###..#.#.#.....#...#.#####.#.#..#.##..#.#.###.##.##........###...#.#.##.#....##.######.....########.#.#..........###
########...#.##..##.........####.#.#.#.####.#.#.##..##.#..##.####.#..#.####.....###.#.#.####.##..#..##.##.##...##.#.##......###.....#.....##..##.#.##.#.##....#.#.##..#...#.#.#.#...#.#..##.....###.#..##.........####.##..#....##.#..#.#..#.#.#..####..##.########.#####.##.##.##.#...##.#.###.##..#####..#.##.##.##..###.#.############.###....#.##..#..#.......#.....##...#..#.##.#.##.##.....##.#..#..####.#.....##.##.##.##..##.###..##.#.#.#####.###########...######.#..##....##......##..#.#.##.#.#.###.#.###.####...#.#.##.##.#.#.#...#.######.#.###.##.######.######.##.#.###.########.####.###...#....#.#########.....##.....#.#.##...#..####.#.....##..##.##..###.#.##.#.#####...#####.#####..######.###########....#.#..##.#.#.##...##.#####.#####.##.#.##.##..#...###.#####.#.#####.##..#.#.##..#........#.###.#.#####....##..####.#....#.......#.#.#.##..#####.####.##.#.##.###.###.#.###..#.#..##.#.....##.###.##.####.#.##.#..#.#.##..#.####...#.##..#.####.#.###.###.#.##.##.####..###...#####.#.#.##.#...############
#......###.#..#######.##.##....#.#.#.#.#....#.#.##.##..##.##..##..##...##.#.#.#.##..#.#...##..##.########.####.#..#.#..##.###...###.#.##.######.....#.#####.###.###..##.#####.#.##.##.#.##..##.###....#####.#.#.#..##...#.###.#.##.##...##.#.#.##..##..##........########.##.##..###.#..#.#..##..##..#..##.#..###...##...#.#....#...#.##...###.#######.##.##.#.#####.#.##..#.##.###..####..#.#.###..##...##..####.#.###..#..#.#..###..###..#.#.#.#.#.#...........#.#..########..#.####..##.#..#.######..#.#..####..##....#.#.###.....#.#.....###..#.#####.............#....###..#.#...#......##...##....###...#.#####.#.#.##.#####..###########.##.##############.#######..##.#........#####...#.....#.##.....##..#.....##.##.#.....##..#.#..###..#..#.....##.#.####.##.##.####.##....##..#...##..##.####..#.###.#.##.########.......##..##....#.#########.########..#.##.######.######..#...#...#.#.#.#.#####..#.###.#.##..####.....#.#..#.######.##.##...##.#####..##...######.#########..#####.####...#.#####.#...#....#............#
#####.##.#.#.##.......##..##.###.#.#.#.##.#.#.#.######..#####..##..###....#.#.###..####.###..##..###........##.#.#######...####.#####..#....##..##.##..##....##...##.#############.##.#..#####.....##.....#####.##..##.##..#######.##.#.##.#.####.####..##.#.#.###.#.#..###..##.##...##.#.####..##..##.###.##...##.###.###.#.##...#....#.#..#####.#.##..######....##.#..#.##.##..###....#.##.#...##..##.###.####..#...#.##.##.##...##...##...#.#.....#####.###.########.#.##.##.#....#.#####.##.....#######.##..######.###############.#.########....#.####.#.#.#.#.#.#.##...#.#####.######.####.##..#.##...#.#.#.......#.#....#.##......#.##.#.#......##....##....#....#.#####.#.####...#####...#.#......#.#####...#####...######.####.#.##...#.###...###......#.##.##..###.....##.#..##.#.#####.#....##.##..##.#.##...##.####.##.#..#.##..#.##.....#...#.###.#.###.#...............##.##.####.##.#...#.....##.#..##.#..##.#..##.######.##.###.####...##.###.....##..#.#.#.#.#......##.#####.#.#...##.###.........#...#.##.#.#.#.##.###
#..........#..##.##.#..#.##....#.#.#####..#.###..###.#.####...###.##...#.##.#...##...##.####.##.##...#.#.##..###..##.....#..##......##.##.#####..#.#######.###..#.##.#.##.#.####.#######...#.##.#.###.#.#.....###..##...##.....##...#.#.##.#.##.....###..###.#.......#.####.###.##.#.#..#....#.####....##...#.#.##...#...#.###..#.#.#.##.#.##.#......##.##.###.##########..#####...##.#.#.####.#.##.###........##.##.##..######..#..##.##..#...#.#####...###.####.#.##.......##.##.###..#..#.##.###..#....####.###..####...##..........#...#.#.###.#......#########.#.#.##.###...##......####.##..####.####.#.#...##.####.#.##......######.##.#...##.#....##....####.####....##.#....#.#....##.#.#.#.##########...#..#.##.####...#...######..#####.###..##.##.#......#########.###..##.##.#.....####.#.##..##..#.#.####.......#..###.######.#..#.#.#...###...#.....###.##########.#####.##....#######.####.######.#####.##....###......#.........###.#..###.###.###..##.#.......####..............###..#######.#.###.########.#.#.######
######.#.#.#.##..#..#.##.###.#####.....#######..##.....##.#.###.######.#..#.#.#.#..####.#....##.####.#.#.###.##..##..#.#.#.####.#.#..###...##...##....#.#..####.###.........#.#.......##.#...##.#...###.###.####..##..#..#.#.####.#.#.#..#.#.####.#..#####...#.###.#......#...#..#####.###.#.#..##..##.###.######..###.###...##.###.#.##.#......#.##.##.#.......#.#....##.##..##.#.####.#....#####....#.##.######..#.###....##..##.###..####.#.....#.##.###..##.#.#.##.###.#.##.##.####...##.##.#.####.#####.#.#.#.##.#..###..#.###.##...#......##.##.######....#######.##..##.#.#..##.#.#.##..##.##.....##.#.###..###......####.#.####.#.......######.#.####.#.........##.#..#.#.##.#####.##..#.############.###.##....#.##.#.#######.#.###.........#.#####..###.####.##..##....##.##.#..##.######..#.##.##..####...##.##.#.###.##......##.##.#####.#...###...#.#...#.........##...##..###.#..##.##....##..##..###..########...####.#.##.##.#.#...####.......#...##..###.#.#.#.#####.#.#.####.##..###.#.##.####...#.......####.#...##.#
#......###.####.###.#.#..#.......##.#.##.....##..##.##..#.#...#.##.#...##.#.#.####....#####.#####....###...#####..##.###.#.##...#.#.####.#.#..#.##.#.##.##....#...##.##.###.....#######..#.#.##.#.#########....##.###.#.##.#....#.#.#.##.###.#.##.##.....##.##..##.###.###########.......#####.####.##..##....##..#########.##....#.#..###.#.#.##.##..###.###.#.....#.##...##.######.#####.#...####.###..#......##.#..###.#####..#.#.####....#.###..........###...#.##...#####..##...##.#..###.....##....#.#.#.#........####.########..#.#.############.##...##.....#######..###.#.#####......##...##.#.##..#...##.##..##.#...##.#........###.#......#.#..#.####.###.#####.##.#.#..#.....#..##.#..........#.....#..#.##....#.#.....#.#.#.....####.#.##.######..##.........##..##.#..##.##..#..###...##.##..##...##.###...###########.#####..#....#####.#...#.###.#.######.####..##.####.#...#.##...##.####.###.#####..##.#..###....###.#..##.#.##.####..####.##.#.##.##...#.#.#....###############............##.#.#.#######.######....#
#####.####.##.###...###.####.##.##..#.###.##....##...##...##.##......#.##.#.#.#....#.###......##..##...##.###.##.##..#####.##.###.###..#.###.##.##.####....##.###..#.##...#.#.#.......##.#.####.#......##.######....#.#..#.#.##.#.###.##...#.#.....#.#.#..###..###.#######.###.#.#.###.#.....#..##..#..###.##.###........#######.##.##..##.########..###..###.#.#.#.#..###....#.#.#...##.#####....#####.##.#.#.##..##...#.###.##.#.....##.##.#...##.#.#.#.#.....###....#..#####..#.#..#.#.##...#.#....##.........##.#.#.............##.#.#...#.#.##..#.....######.###.##.###..####.....#.#.#.##..####.####.##.#..#####..#####..######.#.#...###.######.##......#...#..#..#.##.#.#.##.#.#.#.###.##.######.##.#####.##..#.##.....###.....#.#.#...######...##....####.#.##.#..##.#####..#.#..###.#...#..#.##.###.#..#...###.##.#.#.#.#####.###.##.#.....###.#.#...#.#......#...###..####...#.#.####.###.....###.......##.##...#####.#...######..#.##....##..##########...###.#.#.##.#..##.#.......#.###.##########..#.#.......#...#.##.#.##
##.#####.#....##..#...###....#..##.####...###.#..##.##..####.##.##.#.#.##.###.#.##.#...##.##.##..####.###.#......##.##..#...#.##..####.####...###..##...#.##..######..##.##.###.#.#####..#....#.#.#.####.......####.#.##.#.#..###..##..##.#####.#.##.#.##..##.##.................#.#...###.########.##.##...#...#.#.##.#...#.######.#..##.......####.##..##...#.#.#.#.###..##.......#.......##.##.###.######.#..##..##.####.#.####.##.###.#..###.##.#.#.#.##.##.#.#.#####..#.###.###.####..#.#.#.#.##..##.##.#.#.######.########.#.##..#.#.#......#.##.#####...#####.......##....###.#.#.#.#####.##......#..#.##..#.##.###.######...#.#.#.####......######.##########...##.###############...#.##....###.....##.##########.#.#...#.###.#.#.#.#....####.#####.##.#..###..#####.....#######...#.###.##.#.####...#.##.####...........#.##...####..#########.###.###.#.###.######.#####.#######..#.#.#.#########.#######..##.####..#.#.####.##########.#..##......##.####..##.###.##.##......##.##.....#..........######.#.#####.###.##.#.##
#..........#.##..##.#...######.#########.##.###.##..###....######..#.#.#...##.#.#..#.####.##.##.##....##..#.#.##..#..##...#.#####...##....###...##..###.#..##.....#####..##...#.#.....#####.#.#####......###.###.####.##.#.#.#####..##..#..##...#.##.#.#..#######.#.#.#.##.#.#.#######.######.##.##.#..###.##.##########.###.#....###.####.#.#.##..#..##.##.#.#######.#.##..##.###.##.#.#.#.##.##..........#.##..#.###..##.......#..#...####..#####.#.########..........##...#.###...#.#####.#.#.#..##..#.##.#.#.....##.......####.#####.####.#.#............#.....##.##.###..#.######.###..#.#######.#.##.######.#............#..#####.#....##.#.#...##........#########.....####.##..#######..##.#...###.#..#......#.#.###################.#.##....#.....#....#.#####.....#.#.#......###.##.###.####....##.##.##....#.#.##.######..##.##.###....##.#.#...#..##.#####......#..#.#...###.#####.#....##.#.#.........##.....#...####..#.#...#.#.##.###.#####.##.......##..#..##.##.####.#########.########.#.#.##.#.##.#..##...#....###..#
##.##.##.#.#####..###.########.#...##....#...#..###..###.###......#######.##..###.##....###..#...####..##.###.##.##.####.##..#.#..#....##...#.#.#..######.####.##.....##..#.#.#.#.#######.###.##.#..####...###.#....###..###....#####..###..###.#.##.#.##.....##..#.#.#..#.###...##...............#.#.##....#.......##....#....#.###....##.#.#....##.##..#..#......##.#.##.##...##.##.###.#..#..##.#.##.#.##.##.####.##....#####.#.#######.##...#.#.#.......###.##.###.###.#.....###......######.######.#..#.####.#.#####.#.#....#.....#..#.######.#.###.#.#########..#########.....##..##.##.#..##...#..#..##......#.###.####...###.#####.#..#####.#..#.###.##....#.####.#.###.#.....##.##.#####..#.#...#.##...##.#......#.#.###.#.......##.#..#.####.##.##.##.#.##.#..#.###.#.##.##.##...##.#.#..##..#.######.#..#.##.#.##....##..###.#....##.###....#.#.##..#.....#.#.####.##...###.#.#.#.....##....#.#.###.#####..#.#...#....#.##...###.#....##......#####.########.#.##..##...##.....#####.......##.#####.....####....#...##.######
#####..###..##...##....##........###..##.###...##...##.....##.#.#.#.#......#.###...##.#...####.###....##..##..##..####....##...##.##.####.###.#.##....##...##...##.#.##..##.#.#.#..........##....##....#.#..#....#########...##...####...####...####.#.#..#.###..##.#.#.##############.####.####.####.####.######.#..##.#...#.####.##.#.##.###.#####.##.##.###.##.##.....#..##.#####....#.#.##.##..####.#.##.#.......###.#....####....##.#....#...#.#.#######.#.##..####.###.#.#..##.######.#.##....#.####.#.##.#####.############.#.#.##......#.#.#######.##.#......##.##.#.####.#..##.##......####.###.######.#.#.#.###...###.###...##.#.##..#.####.##.#....#.##......######....#.#.........####.#.#.#.#..#.#..#.#.#.##...........####.###.##.#...##..#..#.#..###....##...#.#..###...#.#..#.#...####.#.##.#.#.#.##.##.#.##.##....##.....#########.#.####..#.##.#.###.#.........####........#########.......###.##..##.#.#.#.######..#.......##..##.#.####.####.#.##.###.##.####.###.#.###.##..#.#.#.##.##.#..###..##..##.##.###...####
#.#...##...#####..###.##..#.#.#.#####.#..###.#.##.#.##.#.######.#...###.#.##...###..###.#.#....#####.###.##..###.####..#.##..#.#...#..#.#####.#.#..#####.###..#.##.###..#####.#.##.##.#.#.##..#.####.######...##...#....##.#..#.#...##.#..#####....#.####.#...##.#..#.#...#.......##.....##....#...##..##......##.##..#.##.####.##.#..######.......#..###...##..#.##.#.###.##......##.############....###.##.##.####.#...#.##..#########.###.##.#####.........#####........###.####............#.#.##....#.#.............#.#....##.###.##.#.#.##.........#......#.##.#..........############.####.##..##...##...#.###...###...#.....#....####.##...#########.##.###.#.#..#.#...##.#############.######.#.####.############.##.###.#....###....#.##.####.#######...##.#.##.######...#####.##.#.###.##.###......######.#..#.##.##.#.#####.####....#.#.###.###.#..#.#...####.######....##.#####..##.#.####.########.##.#########........############..#.#........#.........###.....#...#.#.###..####.#####...#...#####..####..##...##.##..#
#...#.#..#.##....##...##.####.#....##.##.#...###..#..###.#.#.####.#.###.#..##.##...####.####.#.#.......###..##...#....##.###.###.#.#.##.....#.###.###.....##.##.##...##.##.##.#.##..###.##########.#...##.#.#.##.#...########.###.###..##...###.#.##...##.#.#..#.##.#.###...###########.##..#.#######.##..##.#..##########.........##..#.##..#.#####.##...#.##.####..#..##.##.#.##..#...........###.#####..#.#.....#####.#..##.#.##.#..#.##..##....##.###.#.#...#.##.##.#.#######.#.#.##.#.#.#.###.##.########.##.##.###.....##..#..##.##.###..##.#.#.#.##.#.#.########.##.#########...##......#...##..#.#####.##.#...#.##..###.#####.##....#.###.##....#.#######.######.....#######.##.............####....#.......#.#.##..#.###.#.##..##.##.#.##...##.....#.#.#.##.#.##.#.##.#####.#####..#.#.......###.#.#....#.###.##.##.#..###.##...#.#.####.........#.##.#.###.##........######......##..#......#................#.#.###.#######.........##.##.#.#.##.#...#.#.#.#...##.##.#.#.###...#.#####.....#.#...###...##########..###.....##
#.#.#.##.#..##.#.###.##...###.#.#.##..#..#.#...#.#####...#....##..###...#.########.#..#..#.######.#.#.##...##..###.##.#...##...#.#.#....#.#######.#.##.#.###.##.#..####.....#.#.#..##....#.####..#.#.#....#.#..#.###...#.##.###...####..###...#.#.##.#.##.#.##.####.#.##..####....##....###.#....##.#####..#.##..##.##.#.##.#.#.##..##...###.#....#######.#.##...##.#####...#.#..##.####.##.#.###.#.....#.#####.#.##..##.##..#...##...##.#######.###..###.#.#.###.##.#######..##..#.####.#.#.#..##.....##.#.#######...##.#.###..#####################.##########.##.##...########.#..#..#.#.##...#####.####.#########.#####...#.....#.##.#.####.#....#.##.#..........#########.#.#.#..#.####.########.##.############...##.##...#.#..#.###..###.##.##########.###.##.#.#........##.....####.#.###.#.#..##.#.#.####.##..##.##.##........#..........#.################.###.#.########.#.########...##.#.#.################...#.#.##.####.##.#.#.##...###.#.##.#.###########..####.###...#.#....#..###.#######.....#..#....#..#######.##..#
#####.##.#.#######....##.##...#######.##.####.##.##....#...##.###..###.##.##...#.....##.##.#......#.#.##.#..#.##...#..##.###.#.#####.########.......##.#.#.#.##.#.####..#.#.#.###.####.#......##.#.###.#.##.####...###........###....#.##...#####.##.#..#.#.#..##...#.###....#.########...####.#....##....##.##.###....#.##########.##.#..##.##.#....#.##.###..#.##.....###.#.#.###....#..###.#.#.#.#######.#...#..##.#..##.####....#....#.##.######.##.#####......#..##.#.#.##..##....#.###.##.#..###.......##.#####..##########.###...##....##...#####.####..........#..##........##.##.#..#.#.....#........##.#.##....##.#####.###..#######....####.##...########..##.............##...####.........#.........####.#..####.#.#.#.##...#.######........#......####.#.#.##.#.#....#.#....#.#.##..###.#####.#..#....##..#.##.####.###############.#.......##.......###...#..................##.#..#.#.#.....###.....#.##.###.###........#.#####..#.#...#..#.#..#.#.#....##....#..##.#.#.##.#...######..#..#.##.#####.####.##....##..##.#
###...##.#.#.##....#.#####..#...###...#..##....#.#..##.##.##...###.#.#..#.####.###.#..####.#####.##.#.##.#.##.#######.##...#.#..##..........######.#####...#.#..#....#.##.#.#..##..##..#.#.##........###.##....#.#..##.###.##...##.########...###.##.#.####.#.####.##...##.#.......##...###############.#..###......#.##.....#....#.##.##..#.##.#.##...##..###.#.##.#.#.#####.#...##.###.######...#.....##..#.###.###...######...#.##.##...........#.......##.##.#.#.###........####.#######.##.##.####.##.#........##....##.####.....#####.####.###.#.....#..#.#.##.#.##....##.###..#..###.####.#.#.#.###.##.##......#.###.....#..###..#.#.#..##.########.##.....###..##.#######.####..###.#..#######.#.#.#.#####....#.###.#######..##.##..#...##.#.#.#...#.#####.#.###..#######.##.######.#..##..##....##.##.#.##..##.#..###.#.....##.###.###.###.##.#.##..#####...###.#.#.#.#.##.#.#.######.#.#######.##.....#.###........##..#####.##.....#.#####.###.#.##.......#.####.#.#######.#######.##..####.#.#######.#...........####..#####
#...#.####.#....##.#.#.....##.#...###.#.####.###.##..###...#.###.###...####.#......#.####.........###..###..#.#........##.##########.##########.......##.###.#.##.#.##.##.#.#.###.####.#.#..#.######...#..#.#.#####..#..######.###....##....###.###..###....#....###..#.####.#.#.#####.##.#.#.#.#.#####.##.#...######....#####.#########..#####.#..#.#####..##.########.....###.#.####.###...####...#####..########.###......##.##..#.###.#.#.#.#.####.#####..##.###.....###.#.###.#..###..#.##.#....##..#.#.#.####..##.#.........#####.##...#.........#.#...############.#############..##...########.###.##..##.###.#...##.##.##...##.......###....##.#...#.###...####..#..#.####....###....##.#.#####.#.#....##.##.#.......##.#####..###...#..###.###.#.###.##..#...##..#.##....#......####.##.####.#..###..#.########.##.....#.#........#.....######..##.##..##.##...#.###.#..#.######...#####.##..#..#.#.###.....#.########.....#..##.######.##....#####..#.#.######.###.......###...#...##.##.#......##....#.#.#.#####....#####..#
###.#..###.##.#.#..#.#.##.##..#.#..##.###......###..##...#####.......#..##....#.##.###....#.#.#.#..###..##.#########.#.##.#.#.##.#............#.#.#.#..#.###.#.#..#..###..###.##....######.##......#.###.####...##..###......#...##.#..##.#.......##..#####.##.#...##.#...##.###...##.............#.##...#.#.#......#.##..#......#.#...##...##..#.##....##.##..##..##...#.#..##.#.......#..#...##.#.....##.#.#..###.#...##.#.##.##.##...###.###.#.#..#.....#####..##.#.#..####.#.#.##..#..##..###.##..#.####.#.##.####..#.#.#######........#...##.###.####.#.#.#.##.#.#.#.......#.....#.###.#.....#.#....#######..#...#.#..#.######.####.######.##.###....#...#.######.##.#.##.#.#..##.....##.........###########...####.#.##........##...##.###..##...#.#........####.###....####.##.#.###.....#...##.##...##..........######.#.#.########...#####..###.##.....##########...#.#.##........#....##..##.##.#.#..#####.########.#..#.####.######.#...##.#...####.#.#..#.......#.#.#.#####.#...#.........####....####.#.####..#.##.....#.##
#...#.##.#..#.#.#.##.#.#...##.#.##.##.#...#.##...##.####.##..####.#.##.####.#.#.#...#####.#.#.###.##...###..##.......#.#.........###.##.####.##.#.#.##.#...#.#.##.#.#####.##...##.#....##..##.##.###...#....##.######.####.#####..#.#.######.##.#..##..##....#.#.#..###.#.##..##.#..####.######.#....###.#.#.##.##.##..##...#.##.....#####.######..#.#.###..##....##..#.#.#######.#.#.#...###.##..##.#####.....##.#.##.##..######..###.###....#.#...##.###...##..###.######.##......##...######...#..##...##.#.....####.#.#......##.#.###.###.##....#.#.######..........##.#.####.#######.#.#.#.#...##.#......##.####.###.##......#....#...###...#...##.#.#.#....#.#....#..........#######.############.#.#.#.#.#.###....###..#########.###..#.#.##..###.###.#.####..#..##.##########.#...#####.###.##.##.#####.#.###.#..#.##..#.#.....######.....##.#.#####.####.#####.######.#.##.#.###.##.######.....#.####...########...#.#.#########.#......#..#.#.###....#.####.#######.#.#.....#.#.#.#.#####.######.####.##.####...###########.##
###.#.#..##.#####.#..#.##.#####.##..###.#.#..##.#####.......##....###..#.#..#.#.#.#...##..#.###...#..#...####..#####.#.##.#.#.#.##...#.....#.##.#.###..#.#####.#..#..#.####..####.##.#####..########.###.#####.##.###...#####.#######..##....#..##..#.##..#.##.#.##.#...#..##.##.####.........#.##.###.#####.#...#######..########.#...##....###..####...##.#..#.####.#.#......##.#.#.###...#..##.##.......#.#......######..#.##..##.....##.#.####.#######.#..##...####.##...##.##.########...#.#.#.####.#####.##.##.########.##....#...#.##...######..........#.###.#######........##.##.#######.####.#.#.########.....#..##.########.###.....########.###.#.##.....#.##.##########.....###......#.#.#.#.#...#....#####...##......#..#...####.#####..##..####......###.#.........##..#.###.......#.#..##.....#####.######....##.#.#.#......###.####....#.......#.#.##......##.#.####.#.######.##.#.#####...##.###.##.#.#.###.#.#.##.#.##...#########.#...#.##.#..........#.###.#####.#.#.#.#.....#.##...#.#.##.##.##.###.#.##.#.##.#..#
########........####.###....##..#####...#.#.##....####.#.#.##..##...##...#.##.#.####.##..##.##..######.####.####.....#..#.#.#.#..#.#.##.####.#..#..##.##....####.###...#..##..##...#..##.#.####....#...#.####.........###.#........###..###.##.##..##..##.#..###.#####.##.##..##....#####.#.#.####..#...######.#..#.##.##.....#.####.#..##.#...##...##.####.####.#.##.#.#.#.#########..##.#.########.###.###.#.####......##....##.####.######..#.###.###.######..#.......#.#.##..#...##.#...#######.##.###.#....#..........##.##.#.##.########......##.######.#####....#.##..#.#.##.............#..#.#.###...##.....#.#.#.##.........#..##.#.#..##..#.#...#.####.#.#.#............#..#######.##.#.#.......#.###.##..##.##.###.#.####.######.#......##..#.##....####..#####.####.#..##.###.#.#.#.###.##.##.#.#........#...#.##.####.#.#.#.#.#######...####.##.##...#.#..##.#..###..##.....#.#...##.#.....###.##............#.#...#.#.....#.####.##.###########..##.##.##.#....##.....###.#.###.#.#.#....#####.#...#..#.#.#.............##
#....#.###.###.##......##.#####....##.#.#.#.##.####....#.#.##.###.###..#####..###.....##.##.###.###....##.....#####.##.##.#.#.#.##.#.#.....####.#.##...##.#...##.#...#...###.####.###....#.##.#.#####.##....##.##.#.#.......#.##.#..#########...##.######.##..##..##...##..####..#.##.....#.#..#.##...#..#.##..##.......##.##.....#####.#..##.####.##.....####......#####.#........##.#####..###.#.####...####....#.######..#.##...##......##.##..........#.#.#####.#.##...###..##.#......###..#.##......#.##.#.##.#.##########..###.......##..##.#########.###.#.##.#....##.#.#.##.#.#.##.#.#.##.##....##.#..####.##.#.######.##.####.##..####..##.....#.#.##.#.#####.##.#.#.#####.##..##.#.######.###.#........##..#.####.#.#.......##.##.#.##.#.#########.#..####...##....####.###.....#.#.#...#.#..##.#####.#.##...#.#.##..##..###.#.#.....#...#.......#..#.#.....#############..#.#...##.##....#######..#.##.##.####.....#.....###..............#.##..###..#.##.#####.#..##.####...#.#...#.####.#.##.##...###.##.#.#.#######.######
##.#.#.......###..#.#.##.....##.#######.#.#.#..##...#.##.#.##.#.....##.....#.####.###..######.###.####..####.##......######.#.#.#######.####....#..##.#####.#..####.##.#...#...##.##..#.##........#####..#.#####..#.##.###.##########...#.####.##....##.#.##.####..###..##...###.#..###.#.#.##...##.####...######.###.####..####.##.#.####..###.####..#.####.##.#.####.####.##.######..#.###........#.###....#.##.#......##.#..##.##..##.#.##....#######.##....######..###...##..###.#.####.#.##..#.#.##...##.#..#.#.....#######...##.########..#..##.#.......#....#############.##.############...#.##..####....####.#..##.....#....#####...###....#.########......##..#.#########.##.##....#.#.##.#.#####.####..##.#.#.#..########.##...#.#..###....#.##.#.##.#..##.####.#....#...#.#.#.#####.#.#.##.#......#####..#####.##.####..##.#.#.#.#...#.#.##.#.###.#.#.###.............##.#.#.#..#.#..##..##.#.##.#.##..#....#.##.##.#######.##.#####.#.#...#..##.#.##.##...#.###.##....##.#.#.#.#.#....#.#.......#................##.......#
#..#...#.##.###..##.#.##.##.##.......####.#.##..#####.#..#..###.#.#.###.######....##..##..#....##.#..#.##.....#.##.#...##...###....##....#.####.#.##.....##.#.##....##.###.###..#######.##.#.#.##..#.#######..##.##..#..####.#..###.###......#####.#....#.#....##.##...##..#...####..##.#.#..#.#..#....#.#..####....#....#.###...........##......##..##......##.#........##..#.##.#.##.....#.##.#####.###.####..###.#######.#.##..###..#.#######....###.....#.##.#.##.####.#..##.##..#...........######..#..###.##.##.##...##.############.#.#.###..#...#######.####....#....#####........#.#.###.##..##....##.#..##..##.###.#.###.#....####...#.####..#.#.#.#.#.##..##.#.................####.#....#.##.##.##########.#.#.###..#.#####.###.#.#####.#.#..#.###....##...##..#.#.###.##.#.#..##...#####..##.#.#....###....####....#####..###.#.##.#######.#...#.#.#...##.####.########.#.###.##.#.####.......###..#.###.###..#.##.......######.#.#####.###.###.######..#....#######.###########.#.#######.#.########.#.############.###.##
#.##.#.#.##...##.##.#.#..##.##.#.#.#..##..#####.##....##.#.##...#.#..##......##.#.###..##...##..#.##....#####.###..#.###..#...##.#####.#......#.#.###.##..#.######.##..#.....##...##.....#.#.#..##....#.####.#######.#.##.##.##..#..##..##.#..##...##.#.####.####.####..##.#.#...##.##..#.#.##.#.##.#.##.##....##.###.##.###...#.#.##.####..#.#.####..##.#.###..#.#.##.###..##....#..##.#.##..#.###.....#..##..####....##...#..##.#...##.....##..#.##.##.####.......#....###########.##.######.#...####.###...#..###...#####........##...#.#.###.##...###..........##.###.####..##.####.#.......#.#..##..#####.#.####.##..##.#...#.##.#..##..###...###.......##########.####.###.#.#.##.####.#...####.....#.....###........#...##.#.#.#.#.#......#######.#.####.#####.##..######.#..#.######..#....######.#.#.##...##.#....##.#.....##...#####.....##.#.#.#####.#.####...##....###.#.#####.........#.##########.#..##...###########.#####.#.....#######...#...##.###.#.##..##.#.###.###....#..#...#.##..#........###............####...#
#.#..###..##.##...######.##..###.####.###....####..#.###.#..##.##.##..##.#.#..###..##.#####.###......#.###.....#..##...##.#.#.#....##..#.#.##.#.#..##..##.#....#.#########.###..#.###.#.##.#.########....#.....##.####..........##.####..####.#..#..#.#...##....#..##..###.#.#.#.##..##.#.####.#..###..#..#.##.##.#####....##.##.#.#....#########.#..##..###...##.#.##...#####.##...#####..######.#.##########.##.########.##.##..#.#..#.#.#..#.##.....#...######.#.#.##..#.#.#.#.##..#.##...#####..#.####..#.########.....#.######..#.###.#......#.#.....#.#.##.####.#.#......##.....#.#.#.############.....#.#...#####.###.##.#####.######.###.#..##.#.#.#....#...##....##...###.#..#........#......##.####.#.....#.#.####.####.....#.#...######.#.##....#..#...#.#..##.....##...##......##.#.####.###..#.#.##.#..#.#.#.##..#.#.#.##.#.....#.#.#....###.....###..##..#..##.#.....#..##.#.###.#####.......#..#######.#......#.####.........#.#..#.###..###.####..##.#####............####...##.###..##.##.###.#..###.###.#.##.###.###.#
#.##..##.##...##.####....#..##.....##.#...#.##....##.##..#.###.##.##.##..####.#...######.##.#...###.##.#.###.#...##..######.####.#####.#.#..#.#.#.###.###.#.##....#.#...##...##.#...###.##.#...##.########.#####....##.###.####.........###.###.##.####.####.####.##..##...#####.#..##..#....####..##.##.##.##..#...####.######..####.#.....##.##.######...###.#..#.##.#..##.###..####.#..###.###.....###....#.........#.#..#####.#.#.##.#.#.##..##.#.####......###.#..##...#.#.#..##.#....####.###....#.##.#........##.####.#.#.###.........#.#.##.##.#.##.#..#####......########.######.#.....##.##.#..#.#########.....#.####.....#.###......#.#.###.###.#.##...#####.#..#.#..##.#.##.###.######.##..#########.######.#.##..#.##.####.#.#.....#..#.##.####.######.######.#.########.#########...##.....##.#..#.#.##.#.#..##.###.####.##.#.#######.####..#################..#.#.####....#.##......#.#######.######.#.#.#.####....#.###.#####.##.....##...#.#.#..######.###############..###.##.....##..#...##.##...#...#.####..#....#.#
#..##..####.###.....####.##..###.#######.##.###.#.#..#..##.##...###..##.###.#####.##........#.####..#..#.....#.#..##.....##..##.....##.#.#.##.###.##..#.###.##.##.....#.##.#.##.##.##....#.#.#.............#####.#####..##.##########.#..#....###....##..#.#...##.##.####.###.####.###.##.##....#.##..##.##.##.##.#...##.###.######.#.##.#.##.......##...#..##.#.#####.##......##..#.#.##.........#.#...##.#####.#######.##....##.#.#..#########.##.###.#######.######..###.......###.##.#........#.####..#.#.##.###.##..#.#.......#.#.#.#######.####..#..####..#....######.....######..#.#.#.###.....#.#####......##.##....##..#.#.#...#.#.#.##.#...#...#.####.#...#.######.##..###..#.##.......#..##...##...##...#.##....#.##..#..#.#.#.#######.##..#...##.#.###...##..#####.#....####.##.##..####.##.#####.##.#..#.#.#.##...##....###..###.#.#.#....##.....#.......#.###.##.#...##.##.#..##.#.#.#..........#.#...#.#.#.####.####...#.....#..#####.#..###.....##.###...##.....##.#.##.##...##.##########.#######.####.#.##.##...#.##.#
######.##....##.#.#####..##.##.....#..##..#.#.###.##.##..###..#...##.#........###..####.#.#####....###.#.###.###.####.#.##..####.#.#####.####..##.###....##..#..#.#.#.#.#..#.#..##.##.#.##.###.#.####.##.#........##.#####....#####.######.##..###.#..#.##...#..###...##.........#.##...###..#.##..##..###...#..#.#.#..#...#........#.#..#....#.#.#.######.##..#.##.....##.#.#..##...#..###.#.#.#.#####..#.##.##..........######..#.##..#.###.####...#........#...##.#.####.#.#.#...###..#.#.#.####......######...##..##.....#.#.#.#.#.######.##..####.#.###.##...##........#.###.#....####.#.###.#####.......#######..##.#..##.#.#.#.#.#.###.####.#.#.###.##.#####.....###################.#.#.###########.####.#....#.##...###...##.#.#..##.##..##.##.####.#...#.####.###.#....#.####.....#######..##..#.##.#####.#.#.#####.##..##...##.........##.#####.#.##.#####.#...######.#..######.##..#.#.#.####.#.#.....#####.#........##.#.#.#########..####.##..######.#.#.###..###....#.#...#.#.##.#####.##........##....###.....##.##.##.#
#......####.##..#.###...##...#.#.#...##..####.#...#...##..###.###.##.##.#.#.#.#...##....#.##.####.###..#.#...#....##..#####...####.#........#######...##..#####.#.#.#.###.#####.##..#.#.##..##.#....#..#.#.#.#.##......#.##.#........#.##...####...####..##.######..######.##.#.#####.#.##..##..#.##..#####.##.##.#.####.#...####.#.####.##.#.#####......#..##.#..#.#.#.##.######..#...##...#.#.#.....##.......#.####.#.#......##.#..##....#...###.#...#.#.#.####....#....#.#.###.#####.##.#.#....##.#.###.#.##.#.######.###.############.....##.##.####......##.##############.....####.####.........#.#.#.#####.##..##..#.###.###.#.#.#..##....###.#..##.......###.####..######...#.###.#.#.###.##.##........###.##.###..#.....###......##.....###.....#.#.#.#..............#.####..#.#####.###.##.##.##.......##.#.#...##..###..#.#.####.###.#..#..#.##.#........#...#..#.###.##......###..######..##..#.#.#.#....##.#.#.#.#.##..#.######....##..##...##.####.#.#.......#######.....#######......#.###.###.#..#.#.#####.#.######..###
###.####.....##.###.###..#.#.#.#.#.###..###...##.###.####..##..##.#..#..#####.##.####.######........#######.####.####.....###...#####.#.#.#...#.###.#.#######.#.#.###..##....##.###.#.#.##.###.#.#.###.###.###.##.#.##....#.#.##.#.#......#..#.###.#####..#..##....##.......###...##..#.##.####.#.##.##..##.##..###....###.#.########.....#.#.....#.##.######..#.####.#.##......##.##.####.##.#.###.####.#.##.##..#######.#.#.#####.####.#...#...###.#.#####...##.##.#.##.#.#...#.....#.####.#.#########.#.#.##.#....##....####.#######...###..###...####.#.#..###..##.#.#.#.##.###....#...##.#.#.#.#.###.#.###....######.#.##....########..##.#..#########.##.###.#......##.##...#.......#.#...........##.###############.#.#.#.....###.####.#.##.##.####.....#.######.##.#.####.#..##.###.#.#.#..#..#####.##.########.#..##...#.######.....####.###....####.###.####.###.....####.#########.....###.###.#.#.###.#.#####.##############.....####..###.###...........###.#.......##.##....#.###.#.#....##...####.#.#....##.#......##...#
#...##...#.########.##..####.#.###...##.#.###....#...##...##..#########.....###..#....##.....#.##.####......##....#.##.##..##.#..###..#.#.#.#.....#.#...##....#.#..##.####.#.#...##.###.#....#.#.#..##...###...####..##.#.#.#.##.#.##.######....##.....#.###..#.#.#######.#...#####..#######..###.##....##..##.#####.#...#.#....##..###.#.#.####.##..#...##.#.##...##.#..#.#.##.##..#..##...#.#..##.##.#.####.###....####.#####..##...##.##.###.######.....#.####.##.####.#.##.###.#.##....###...##.####......#.#.#.####.#.......#.#.#..#..###..#..###..###.##..###........#......##.#.#.#..#.#######...#.#.....##...#.##.#.##.##.......##.###.##..##.##..#..#.....##.##.###....#.#.###.######.#######.###..............##.#.#.#.#.#...#...##.####.#.......#.#.####..##..#####.##.##.#....#.#.#...###.##.##.#.........######..###.#.#.#..###....#.##..##....#..##....#...#.#.####.#........##.#.#..##..##.############.##......#.#.####..###..##..##.......#.#######...#.#########...##.#.....###.#.#.##..###..######.#.##.#.#.#.####.##
#.#.#..#.#..##.........##....#.#...#..###.....##.###..###..##...##.##.#.#.######.##.#..##.######...##..#.##.##.#.##.....##.##.##...##.#.#.#.##.#.####.#....######.###.#.######.#..#..##.##.###########.#####.#...##.##..###.######.#.....#.##.###..##.##...##.#.#..##.#...#.#.....##.........##...###.#..####..#...##########.#....####.#.#..###..#.##.#....#.##.####.##.###..###..###..#.#.#.#.##.....####....#####..#.#.......##..######...##..#.####.#.##..#.#..####.#####....#.#####.###...#.....#.#.##########....###.#######.....###...####.##.##.#######.....####.#...#.#.##..#...####..#....##.####.#.#..#.#...######..#..##.##.##...#..##.......###.#.#.####.##...#.####.#.######..##.......#.#.####.##.#.####.##.#.#.#.#######.#.....#.#.#.####.##.#......########...#.......##.......###.#....##.##.##.###......##..##.....##..##.########.###.#.##.##.####.#####......##.##.####..#.##..##.##.......#####...##.###......#...##.######....#######......######.........##.#############.#.#.###...##.##.#.#.#..###.#.#...##..#
#.####.###.######.#.#.##..#.#####.###..####.#.#..##..####.##..#.##......###.#.################...#####.###..##.#.##.#.#..####..##.##..###.#..###...##.#.##......###.........##.#.###..####.##.###.##.###...#.##.#######..##.##.#####.#.#.#.##..###.######.###.#.##.##.###.####.#.###.###.########.#...##....##...#.....##.##..#.####..#.#.##...##.#.##.###.##.#...##..##...##...##..##.##.###.#.#..##.###.####....###...#.#########...#.####..##......#######...##.........####.##.##.##...##.##.#.#..............#.#.###..........#####.#.#....#.....#.#..#.#..#.#....####################.####.#######.##.####.#.#.#.....###.#.###.#####.#.######.##.#..######..#.#.##.#......###....#.#.####.#.####......#..#.#...##.##.#####.......#.###.###........##########.###.###.##.##.####.##..#####.....###.##...###....#.#.#.##..###.##########.....#.#....#.#..###.....#.....#.###.#####...###.##.###.##..##.##.#...#...####..##.#.####.###.....##..####.....##.#.#......#########.##....#.####.#.###.#..##.###.......####.############.##
#.##...#....#.#...###..##.#..##....##.##....#.#.####..#.#..##.#.#####.#...........##.###.......#...##..####.##.#.##.#.##.##...##..###...#.##...##.##..#.##.####...##.#.###.###.#...####........#.....##..#.###...#.#.##.##........##.#####..##..##.....##.#.###..#.#.......#.#####...##.......#####.#..######..#######....##.##......##.#.#..#..#.#.##...#..###.#####..###.##.#.##.##########.###.##.........#.##.#.#####...#.##.####......#.###.##.#......###.#####.#######.####.....##.#.####..####.#.###.#.#.#.#.#.#...#.##.##.##.###.###.##...##.##...##...####.#####.#####.#.#...##.#..###.......#...#....#####.#.##.##.###.##......#.#.....##..#.##......##...####.#.#.##...##.#........###...##.#.##.######.#.##.#....##..#.#.#.#..##.....#.#.##.........##..................#####.....#.#.#..##..##.######.####.#####.##....#.#.##.###.#...##.#####.#####.#.##.##.##...#...####.##.####..####..##..########.####.#.#####...##.##..#.#####.##.#.##################.#.#..#########.........##.#.##......########.#....#.#.#...#..#
#..#.#.##.#...###..##.###.##..####.######.#.#.#.#....##...##..#.#.....#.#.#.#.##.##......##.#.###.######.#...#.#.##.#..#.#..#####..###.##.##.#..#####.#.##....#.#..#.#...#.##..#.####.##.#.#.#...#.#....##..######....#####.##.########.##.##..#####.###.....##.##.###.#.#......####.##.#######...####......##..#.####.####..######.##..#.##.#.####..#.#.#.##......###...###..###.....##.##...##...##.####.######.......#.#........###.#.#.#.##...###.######....##..............#.###..#.#...###...##.#...###.#####.#.#.###..#.##......#.###..###.##....#..###.#.#...........#......####.#.##.##.###.##.######....####..#.#.......##.##.#####.#.##..##..##.######.#..##..#.#..#.#..#.#.#.#.##..##.###..#..#.....#######.##.#..##.#.######..#.#.#########.##.#.#..#.##.#.#.##.#.#.#####.#..#.###########.###.##.#......#.....#..##.#........#####.#.#..##.##....##.#..#..#..#.#.#.#....#.....#.####.#..####...#.###.......#...#####.##..#.####.#.#.........#..#......###.......###.###....#.#####..#.#..##.#.#...####.#.##.#.......###.##
#.####.#..##.##...##..##..##.###......##..#.######.#.##.#..##########.#.#.#.#.#..##.####.#..#.##....####.##.##.#..#.#.##.##.....##..##..#..#.##...##..###..##.###.##.#.#.#..##.#.##...######.##.####.##..#.##.##.#.##....##..#.####.#.#.....####.##...########...#.#...#.#.#.##....####.........#.##.#.###.####......#....##......#######.##.#....#.####.####.#.####...#...##...##.##.....##.####.###.###.......##.#.##.#.##.##.#.##...###.#..###..##......###.#####.#.##.#########...##.###.#.##.###.#.#...####.####.#.#...######.#.#.....######.##.#.##.####...##.#.#.#.####.######.#...........####.......#.##...##.##.#.#.#.#..#..#...############.##.......#.#.##..##.##.#.##.#.#.###.#####..###########.#.......#.#..####..#.....###.#.#.......#.###..#.#########.#.####.#.......##.#.##...#.#..####.....#.#.#############..#.##.#.#...#####.##.....###.##..#####.##.###.#.##.#####.#....##..##.#.###.##.....##.####.#....##....##.#.##.#.#.##.#.####.##.#.####.##.#.#####..#.#.####...#########..###.#.#....#.#..#.#.#.#.#...####
#...##.#.##...#.#..##..##.#....##.#.#####.#.##.....#.##.##.##..##.....#.#.###.#.##...##..##.#.##.#.##........#.#.##.#.##.##.#.#..##..#.###.#.##.#..##..##.##....####.######.#..######.#.#.#...#....###..#####.##.#..##.###..##....#.....#####.#..###.##....###.#.#.###.#.###.##.##..##..#.####.#####...######...##.###.#.####.#.#.###..##.##.##.###...#####.###....#.#.#.#..#.#.#..##.#.#..###......#...#.##.#######..#####...###.##.#..##.#.###..#####.####.#..##...#.#############.######....##...###########.....#.#####....##..####.##......#.####..#..#.#.####.###.#...............#####.#.#.#....###########.##..##.#.#.###.###.#.#..#.#.##..#.#####.##.#.#.####.##...##########...#...#.##.....#.##..##############...###.###.#...###.#.#####.....##.#...#...##..#....####.#.####..#....###.#.###.##.######...#.#.......##.#.#..###.#.....######.#########...######..####.#####.#####.#....#####.#.#....##.###.#######.#.#..##......##.#....###......##.####.#....#.....#.##.#....###....##.#.#####..#.#.##.#...##.#.#.#.#.####.#
#.#.##.#..##.#####.#..##..##.#.####...#.###.###.#.##.##..#.###....##.####.#...#####.####.##.#.#..#.###.##.#.####.##.###...#.####..#.##...###.##.##.##.###..#.#.####..##.#.###.##............#.#.#######...#.#.##...########.###.#...###.........##......####.#######...#.##...####.####.#....###.#.#.#....#.##.##....#.####.###.#...#.######..#.##..#...##..##..#.####.###.#######..#.#.##.##..##.###.###..#....#.###.....##.##....#.##..#.#...##.##.#.....#.####..#.#..........#.#####.#.###.###.#.......###...#########...######.##....#.####.#....##.##...#....#..######.#.##.######.....#.###...##.....##.#.######.##.###...#######.##........##.###.########..#.######.........####.###....#.#.###....###.#.#.#.#.##..###....##.##.####.#.....##.#########...#####.#.#####.#.#....#.##.######.#.#....#....##..#.#...##.##########.##..#.#.####.#.........#.#.#..#.#.##....###........#####.####........#.###...#.....##..#.##.#..##.#......#.####.#######..#.#...#.####.###.#..#.######.#.##......##..##.#.##...########.#.#......#
#.#..#######.##..####.######.#.#....###.##...##.#.#..##.##..####.##.....#.###.##..###.#..##.####.#.#...##.#...##.##.#####.#....##.######...#.#...#.##...#.####....##........######.#.##.#.#.#.#..##..##.#........#######.####.#.#.#####.###########.#.#....#.##.#..##.##.##.#....####...#.##.......#.##.###.##..#########.#..######......##..######.#.#..##....##...##...#...#.#.##.#.#..#..##.##..##..##.#####.....###.#.#...#.#.##.##.##.#.#.##.#..#.#.###...#####.#.#.###.##....###....#####...#.##.##.....#.....##....#......#.##.#.##....#.#.#.##...#.#.#.#.#####.#..#.###...#.####.#.##...##.##..#.#......#....#.##.#...####.#.##..##.#.#.#......#.##.....####..#.###.####.####.#######.###.#.....####............##...#.#######.....###.##.###..#..#####.#.....#.#.##.#..#.##.######....#.#.#...##.##.#.#..##...###.....#..##....##.###......##.#.##.###.####.....###.#.....####.###..#####.##.#.###.#...#.#.##.#.######.##.#.##..##.##.##....###.#.#.#.##.#.########...#.#.##.##.#.###....##.####.#####.#..#........#.###.##.###
#.#####.......##.......##....###.##..##....###..#.##.##.##.##.....##.#.##.#......####.#.###.##...#.#.#.#..#.#..#.##....##.#.#####......##.##.#.###.#..#####.#..##.##.###.#.###.....#.#..###.####....#####.##.###....##...#....###.....#...........#.#.##.#........###..#.##.##.####.###.#.##.#.###.###.......##......##.....##....##.#.#####.....##.###.####.#..##.##..#.###.....######.######.###.###.##.....#.#.#...######.####.##.##..#####.##...####.....#...##..#.#...#..#.##.#.####.....##.####...#.##.###.#.#####.##.####.#.##.#..#.#.######.###.######.#.#####...##..##.#......######.##########.########.#########.#.........##..#####.##.#####....######.##...#.#....#............#####.##.##..####.#####.#.####.###...#.##..##.####.##.#.####.##.#.###########......##..#...##...####.#.#.#######.####.####...###.#...####.####...##.#####..####........##.##...#.###.#....#...#.##.#....#.#.#...#.#####..###......#..###..##.##..#.###.#.##..#.#...........#.#.#####.#...........#.#.###....#.##....##.##.#.#.#.#.##...#...#
#.....##.#.#.####.#.#.####.#.##..#..###.##...##.####.####..######.##.#..#.##.#.#.##.....#...###.#########.###.####..##..#.#...##..##.#..#.##.#...#.##.......##..#..#.##..#...#.#.#.#.##.##.....#.#.###.....####..#.###.###.####...#.#.#.####.##.#.#.#.##.##.###.#.##..####..##.##...##..#.##.#...#...##.#.##.##.#.##....#.#....##..###....##.##.##...##..#.###.###..####...#######..######......##..##..#.#.#.#.#.#.#...##......#..#####....#####.###.###.#.#######.#####.##.##.##....#.#.#####.....##.##.##..##.#.....#.##.######.##.#.##.#..###....####....#.#..#....###..##..#.#.#######.#.....#.####......#....#####....##.#.#.##..##...#####........#.#####.#.##.###.###########.#.#.#.###.##########.##.#...######.#####.#....#.##...#.#..#.....................###.#.#.####.##.###.#..........##....###......##.#...###.#...##..##..#..#.....##....##.########.###.######.#.#.##.#....#...####.#.##.##.....#.######.#.#####...###.##.##...#.#.##.##.#.####.#.##.............###.#.#.#.#.###.##.###..#.#.###.##.###########.###.##
#.##.##..###..##..#.#...##.#####.#.##...##.###..##.....###..####...#.#.##.##.#.#..##.##.###..####.#.##....##..#.##.##..##.#.#.###..###.####..##.####..#.#####..##.######.###.#.#.#.#.######.########.###.#.##...##...#.##...####.##.#.#...##.####.###.#..##...#.####.##....##.....#.##.##.##.##.##.#.#..#..#.##.#.###.###.##.#..#.#####.##########.#..##....##...##...##.#.....###.##....##.##.####..#.######.#.#.#.#.#..##.##.##.##.....##...##...##..##.###.##..#..##.#######.##.##......#.#####.##..##..#.######.#.####.......#..#.###..#.##.##.#...##.#######...#.#########.#.####.#.#..###.#......#.##.###.####.#.######..###..#######...####.##.##.#.....#.#.............##...#########....#.##...##.##...#..#.#.......#.#.####.##.#...####.#.#.##.####.#.##.####.#.#####....####.###.########....#######.#.###..#.#...#.#.#..##..##.#.##.#########..#........#...###....#.#########.#...#..#.#.#.#...###.#.#.....##.###.#.###...#.#..########............#####..##########.###############..######.##.#...###....##...#.##...####
#..#..##.##..####.###.###....##..#.###.##....##.####.#...##.#....#.#.#.##.##.###.###.##..###.#.........##..##...##..####..###.#.#.####..##..###...###.#.....#.##..#..##....###.###.#.#.........#####..##.#.#..#.##.#....#.###.#########.#.##....#..##.##..##.##....#..##.#.##.#.#.#..#..#.#..##..######.#.#######.#.#..#######.##.##.#####.###.##..#.##..#.##..#.##.######.#####......#.##...#.#.###.#......#.#####.#.####...####.##.#.#.###.##..#....###........#####..##....###...#.##.#.......#.#######.###.##.###..####.#.#####.#..###.#.....###.#........#.#.######.#.#.####..........####.#.#.#.##..#......#..........##.##..#####..#.#...##.##..#.#.#.###...#.#.#.#.#.#....#....#.#.#..##...##.####....######...##.#.##.#.####.#..#.#....#####.##....###..####...#..#..###.##.##.##.........###.##.##.##.#...####.#####.#.#.##..###.###....#....##.###.#.###.#.#.....##.#......##.#.#.######.#.#.###..##.#######.##........###.#####........#.##.#.#.#.#.#########.......####..#.#.#.#.#.##.#.#..########...#.#.##..###.###.###.#
##.#.##...##..##..##..####.#..##.#.#....##.#.####....#.#######.#.#.#.#.##.##...#.#.####.##...#.##.#.#.####.###.####...##.###..#......######...#.#...#.##.#.##..##...##..####...##..#######.##.##.#...##..#.##.#.##.##.#.#.##...###.#.##.###..#.##########.##..##.#########.#..#.#.##.#######.##.##..#.#.#...#.##....##......##.##..#.#.##.......########.#.##.##.##.....##.......#.#.##..###.#....#####.########..###....###....#..#.#.#...#.###.####...##.#.#####.#.##..##.######.##..########.####.###............#.##....#...#.######.###.##.##...#.##.#####.......#.........###.####.#....#######..##.#.####...#######.##...##.......######.##.##.####.#.....###########.#.#.###.###.....#######....#..##........###########....#.#.##.#.##..#.##..##.#########.#.######.##.####.....##.#.##.#.###.....#..#.#.#..##.....####.#.##.##.....##.#...####...##.#######.#.###..#.###.##....###.##.###.#####...##...#.#.#####.#.#.####......##.########..###.#.#.###.#.#.#.#.#.#.####.#.##................###.##.##.#.#.#....##.#..##.....#
##.#.#..###..##..####....###.##########..#.#.#....##.#.....#.#.#.#.#.######..###.#......##.#.#.######.##.###......##.#####...####.##......#.#.#.#####.#..####.####.####....###..##.##.##....#......#.###.#.##.#.##.##.#....#.###......#...#.##..##.#..##...##.##.....#.##..####.####....##.#.##.###...###.#....#.##..#.#.####...##......#.#######....##..#.##..###..##.##..#.#######..#.##...#.##...##...#.#.#.#.#####.#...##.#.#.##.#.##.####......##.#####............##...#...#..##......#####.##.#.##.#.##.###########.##.#....#.###...#.##..#.#.#..#########.#####.#.#.#.#..##....########.....##.####....#########.#####.##..#.#.#.#.#.#####.#....##.#.##.###.#.#.#..#.#.#..##...##.#####.##...##...####.#####...#.#.######.##########..##....#.##....#.###.#......##......##..#.####.######...##.##...######.####.##....#.#..#.###.##..#.#.#....##.#######...#.###...##...###..####..............###.##.#.......#.###.#..####.#####.........##...###.#####.#.#.#...######......#.##.########.##.........#######.#####...####.#.##
#..###.###..######....########....##.##.##.#.#.##.#..#.##.##...#.#.#..#####.######.##.#..#####.#.........####.#.####.....##.###....##.#######.#...######....###....#....##...##.##.#.....#.###.#.###...###..######..#.##.#.......#.#.##.###..##......###.#.##..#.#.#...###.##...###..#.##.....#.....#.##..##.#.####.##.####...#.###.#.#...........##..##.#..##..###.##..####...##.#########.##..########.....#......#########.#####..#.##..##..#.##.##.#.##..#.#.#.#.#.###.#...#.######.###....#...#....###.##........##....######.......###.##########.##....###...###.#####.######.#........##.####....##.########......#.####..##.###.........#.#.#.###.####...........######.###.#.....##.#....#####.###.#.....#####....##.##....#..#.##.###.##.######.##.......##.#.##.####....#####.....#.###.#####..#..##.#######.##.####.####.#....########.##.####.......#.#...###.####...##....#.#.############.#..#.#.#.#.#....#####...##.....##.###.#.#####.##..............#..####..#.#.##.###############.########..#.##..##.##.##.##.#..#
##...#.#...##.#.###.#.......###.#........#.#.#.##.##.#..#..###.######..##.......##.#..#.##.....######.####....#..##..##.##....##.#..#......##.#.#...##.#.##...##.#.#.##..#.#.##.##.#.###.####..#.###.#..##.##......##.##.##.##.###.#.############.####.###.##.##.#.#.#..##..#.#...##.#.##.##.###.#.##.###.##.#..#.#######.#.#.#...#.####.##.##.##..##..#.#.####...#..##...##.#.....##.###.#####...##.....#####.#.##..##.####..##########..####.#..###....##.##########.....#########.#....##.#...#...#.##...#..#.##########......#.#.#.#..##....#.##.......####.#.#.#.#.##.##...######.###.##.......##.#..#....#.....#.##...#.###.####...##.#.####.###...#....##.#.#.#.#.##.#.####.###.#.#......##.....#...#.#####....##.####...####.#.##.##.##..#####........#####..#####.....#.##.#.#.###.#.....#.##....###........##...#...##...#####.#..##..##...#......#.###.#.#.###.#....##.####.#.#.#.......####.#.####.#.#.########.#.#.#..##.#.##....#.#..#..#..##.#.#.#.#.#.####..#.#.#######...#.........#.####.#...##....####......#..#.##.#
##.#########........##.#.#.##...#.#.#.#.##.###.#..#..##.#.##......##..####.#.##.##.##.####.#######......###.#.#.####.######.#.####.###.########.#.#....#..#.#..###.#.#..##.#..###..###....#.#.##...#.##..#####.#.#.##..#.##..#.###.#.......##..........##...#.##.#.###.##..##.##.#####.##.#....#.#.##.#...#####...........#.####.####.....#.######..####.####...#.#.##..#######.#.##.........##.#.######.......#####.......####.#.#....##.#.#####..##.#.##..........###.##......#....##.#..#.##.##.######.#.##.########.....######.#.#.######.#....#.##.######..###.........###..##.##...#.##.#.##############...###.###..#....##...##.#.##.#..#########.#.##.##.#.#.#.####.#.......##.#.#.##.#..#.#######.....###.#.##..#....########.#...#####...#.###.#.#.######.###.##.########.......####.#.##..#.#.##.##.####.###.#.##.##..#.....####....##..#.##.#.#.#...########..##########...#.#####.#.#..........##.###...#####....###.##..#..##.#.####...###.##.#.#.#.#.#....##...#.#.#.#...#...#########..#.#.#.####.########.###...#####.#
#.....##.....#.##.#.######..##.####.#.#..#...####.##.##.######.####..##.##.#..####.#...##..#.......##.###...#.#.##......##..###....#.#.####.##..###.##.#.##.#.##...#.##.##.##...##.####.#...#.#..#.#.#######.#####.#..##.#..##...#.##########.##.#.###.##.#.#.##.#..##..##.##.##.....#..###.#.##.#.####.#.....##.#.#.##.###..##.....##.#.##......##....#....##.##.#..##.......#.#.#..#.##.##.##.#.#......###.####..##.########......#.##......##..#####.##.#.#.##.#..##.##.#.##...##.##.#############...#.#.#.........###.#......#####......###.#######...##.##...##.#.#########.....#.######.#####.#.#.##.#.###...######.#.#.####.##..#..#.##.#.##..##..######..#.#.#..#.#...########.#.#..###.#####....#.#####.###....##.####.....##...####..#.#.....#.#.###....#...........#.#.##########.###..#.####....##....###.#.#..#####.##.#.####..######.#..#.##########.#.#.##....##..#.#############.#.#.#.##.#.##.##..#.....##.#########.####..####.##.###..####.#####.#.#.##..#.........#.###....#....#.##.#.#..#.#..###.......#.#.....#.#
##.#######.#.#.####...##...##..#.##.#.##.#.#####..##.##.....##....##.#.....#####.#####.##.###.###.##....##.####..##.#.#..##...#.##...#.......##...#.##.#.##.#..###.#.#..##..#.#..###.#..##.##.##.#.#..........##...##..###.####.##..........#.#..#..####..#.#..#.##.###..########.####.##...#.####...##.#.##.##..#.#.##...######.#.##..#..#.#.#.###.##.#.#.#####..#.####.#.#.##.#...####...####.####.#.#..##......##...........##.###..##.#######.....###..###..###.###..###.####..###..........#.##..#.######.########...#.####.....#.#.#.##......##.#.#.......#..#.#.........##.#.##.##.##........#.#.#.....####...#.######....#..##.##.###.....#.##..###...##.###.##.....#........#.#.##...#.......##.#.........###.###.###..###....####.#.####.##.##.#.....#.##.##.##.#.###....#.....##...##########.##..##.#..#..####.....####.#....##......#.##.#............#.#..##.###..##..#..###.#...#.########.########.#.###........##.##....##.......#...##..##..##.##.#.#####.#.###.#.###...##.#...####..#.#...##.#.##.#.###.#############
#......###.###.#....#.##.#####.#....####.#.###...##..##.#.###..#.##..##.##.......##..#.##...####..#..#.##...##..##..#.#.#####.#..##.##.#.##.####.##.##.#..#.#.##...#.#.##..#######.....##..##.##.#.#.#.##.#.#.###.####...#...##..##.##.######.##.##....##.####.#.##..##.##...........#..###.#....#.#..######..##.#.###..#......#.#..##.#.####.#.#....###.#....##.##.#.#..#.####.#.###.####....#####..#.#.###.###.######.######..#..#####....##..#.#.######...##.##....####.....########.#.#.#.#....#.#####.#.........####.#....###.###############....#.##.##.####.###.###.#####..####.....##.##.##.......#.#....##.##......#.#.###..#.##..##.#.#....####.#.###...##.##.#.####.###.#####.##.#.#.#.#.#.#######.#.#########......#####.#...........######..##.#########..##.#.....####.######.###.###..#.#####..####...####..#.#..##..##.#..#.#.##.#..#.##.###.#.#.###.##......#.###.##.##.#.#.###...##.#.#####.#.##.#.##..#.#.#.###.##.#.###.#############.###..#.#######.##.#...###..###.#######..#.##...#.####........######.......#..#
#.#.##.#....######.####...#.#######....#.#.#...#..#.###.#.##..##..########.###.#####...##.###....###.#.##.#..##..##.#.#.#.#...##..#.#..###....##.##.##.#.######..#.#.#..##...#...#####.##.###.####.#.#..#######......##.###.##..###..#.###..####.###.#.##.##...#..##..#..##.###.#.#.##.##...##.######......##.#..#...#.##.#.######.###.#..##..####.#######.##..#.#....####.###..#...#.#.##.#.####.##.#.#.#...#####..#####.####.###..#######....##.#..##.######...##.#....###.#..##....#.#.#.######.....#...##.#.##.###.##.##.#.#####........##...#.#.#####.##....#.##....#.....##..##..#####...#..######.####.#.###..#.##.#.#####.##.#.###..#.########.#......#.#.##.##.#...##...############.#####.#...#...###.##........#.##.##.####.#########......##.##...#.#.#######.#.##.#####.#............##...###.##....#.#....##.#.##..##..#.#.##.#..#.####.#..###.#.#..##.##.####...#..............######.....##.....##.#..##.#.#.#......#.#.#......#.#.##.#.#..###...........##.#.#..###...#.##.#.###......#....##..####.#....#.#.##.####.##
#.#.####.#.##.........#.###.........##.#.####.##.##.#...#..##..#.##....##...##.....##.##..#.######...#..#.##.#..###.#.#...###..#.#####...###.##...#..#.#...#.#####.#.##..##.##.#.#.....##.##.....###.##.##.#.##.#.##.#....###..##...####.#.###.#...#.########.##.##..###.##.###.###..#.##.#.#.....#.###############.##.####.....##...#.##..##..##......###.##.##.###.###.....##.#.#......######......#.###.#....#..##...#....#..###....##...#.##..##......#####.##..#.##.##..##..##.#######.....###.####.######..#.###..###..#....##.######.#..#####.....#.#####.#..##.#.#.#.#..##..##...#.######......###.######.##....#.#........#.###...##..#.###.#...##.#.###.#...#.##.##..#.....#.###.##.....###.#...###......##.#####..#......##.........##.#.#..#.##.#...........###..#.........#.##########..###.#.##.##.#.#.#.##..#######..##.###..#.##....####...#.#.#.##.....########.###########.##.#....#.#....##.#####.#####.#.#.##.#.#####.#.##..........#.##.#.##.########..####...##.##.......##.###.###.#..##.#########......#..###..#
#.#..##########.##.####..##.#.###.#.##.#...##..###..#.#.#.###.##..####....#..##.#####..##.#..######.##.##.####.##.#####.###.##.#..##...#########.#####.#.#...#.###.#..##.##....#.#.#.#..####.#.#.##...#.......#.###..##.#...#.##..#............#.#####....##..##..##..##..###.....#.##.#..#.#.#.#............#.###...#....##.####..#.#..##..#.##..#.##...######..#.....##.#.########.###......#####.####...#.##...###.#...#.###...#.######.##..##..##.#.#.....###..########.####..........##.#.##.#..........##.##.....########.###.......####.##.#####.##...#.####.##.########..##..#.#........#.##.#.....#.#.##.##.##.####.##.#.##...##.##..##.......#############.##..#.##.###.##.....#.##.###...#.#.#.###.#.##..###...##.####.#..#.####.#####.#.#.##..#.#.#.##.####.##..##.##.#.####..######.##.###.....#.####.###..##.......##..#..###.###..####..##.##########.##....................###....##.###.#.###..##...#..##.#.#..######.####.#..############.....#........##....#.####..##.#.#.##...####.####............#.##.#.##.....##
#.####.##.#.#.###....##.##..#.#...#..#.##.##..####.##.#.#.#...###.##...#.##.##...##...######........#####.#........##.......##.#.#####...#.##.....####.#.###.....###.##..#..#.######.##....#.#.#.####.##.#.############.#.#.#####.##.##.###.#######..##.###..###.####..#####..##.####..#.##.#.#.#####.###.##.....##.##.#.##...##..##.##.##.##.###.#..#.#...#.#######.######....#.##...##.####.##.##...####.#.##.#.....##.#######.####.##.#####.#..##..#.##.##..###....##.....#.##.##.####..###....#.##########...##.##....##........##.##..#.#.....#########......####........####..######.#.##.#..######.##......##..####.#..#.#..#.#..#####....#.#.#.##.......##.####.#####..##..#.#.#...##.###.#####.#...#.#..#.###..#.#...#####.##....#...#.#####..##.#.#.#.##.######..###..###...###......#........#.###...##.#######.#######..#####.....##.##.##.#..#.#.#.#.....#######.#.#.##.###.####..#.###...#.#...#######.#.#####.##..#.#.#...#####.#.#...##...##.#.###.########.#.##.##.##..###.#..###.#.....#.##.#.##.###.##..#.####.###..#
#.###...#...#..#..##..#####.#####.#.####..##.###...#..#.#.#.#..##..##.##.##..##.##..#..#.#.#.######.#.#.######.#.#####.#.#.##..#.##....#....#.#.#....#.#..##.#.#...#..##.##.#..##.....###.##.#.#..###..#.#.........##...###.....#..#.##...#.###.....##....#.##....##..##.....##.....##.####.#.#.....#...###..#.#..###..#..##.##..##...#..#..###...#.##.#.###..##......#...#.#.##.###.##.....#.#.....#.#.####.##.#.#.#.####.#.#.#.#.#......#######.#..##.##.###...##.#..####.##.####...####..####.####........#.#..#.##.#.#####.#.#.##...##.....#.#......#.##.#.#.###.#.#.####....##......#.###..##......#..#.####..##..#...##############.....##.#.#.#..#.###.#.......#.#.#.##.#..#######.##....##########.#####.#..#..##.#.#.....#.##.#.####...##..##..#.#.#.#.##......##...##...#.#.#.#.####...########...#.######.####........##....##.##.##.....##.##.........#.#....######.#.##...#......##.#.#######.#.#..........##....##.......#...#.#...#.####.###..#...#........#.#..#.....##...#.#.##.....#.#....#.###....##########.#.##..##
#.#...#...#.##.#.####....##.#.....#######.##.#.#.#.##.#.######..#.#####...##.##..#######.....##...........##...#...##..###.###.#..##.#.#.######.#.##.#.##..###.##.##.##...###.###.#.#.##...#.#.##...##.###.#####.#..###...#.#.####.#..#.###.....#.###..#######.#.####..####.##..#.###..##...#.##.####.#.##..##.##...#.##.###.###..##.##.##.##...#.#..#.#.###.######.#...###.#.##...#######.#######.##.....##.####.#.#......#.#.###...####..##..########.##...#.######.####.......##.#....#.##.##....#.####.######.#.##.#...###.#.#..#######.######.####....#.######..###....########.#####..###.##.#######....########...#####.#.#####..##.##.##.######.....######.#.##......#.##......######.#####.#.###....#.####...##..#.##.#.#######...######..##..##.#.#.#.##.##.#.##.########.###......###........########........##.##.##.##.#.#####..##.##.##..##.##.##.########.....########.##.##.#..#.....##.#######.###.##.####.#####.###.###.##...#..........##.#.####.#.#.#####.###.#.##..#####..##.#.##.#.#.##...##.#...#.##.#.#.########
#######.#.#.........######..###.#...##....##...###.##.#..##....##.#.....#..#####...#.#.#.#.#..##.##.#.##.#####.#.#####...###...#######.#.....##.#..#######...#.##.##.###.##.....#.#.#.##.###.#.##.#.#....#...########...#####....#.#.##...##.#.####.##..####.###..##..##.....##.###.####..#.#.##....#.#..#####..##.##..#...#.#...###.##..#.##.#.#.##.#.#...#...#..###.#...###....#...#...#..##.#...###.##.##..##..###.####.........#..######..##.#.##.#####.##....##.....##.##.####.##.######..###.##.#######.#.#####..#.#...#.#.##...###.#......#....#.#.#####.#.##.####.#...##.##......##...#.##.......#.##....#.#.#.#...#.#.#...#.##..#.##..#....##..###..#.#####.##.#.####..###.##....##..###.......##.#.....##.#######.##.#......##.###.###..####..#.#.#.#.##..#.#.##...#....#..##.#.#.####.#.###.#####.#...##.#.#################.####.#..##....###..#.##.......#####.##.#.#.####...###.####.#........#.###....#....#.###...###.#.###..#.##.#.#####.##.#....###.####.####.#.#####..#.#..##..#.#..#.#..#.#..#.#.#..........###.##.#
##.#....#.#.#.#.#.#....####.##..#.#..###.####.###..##.######.#..#.##.#.###..##.#.###.....#.#.#####..#..#.##....#....##.#.##..#..###....#.#.######.###..##..###.##.#...##..#.#.#.#.#.###..###.#.##.####.###.#......#####....##.#########.#.##.#.........##.#...##.####..#.##.##.......####.#.#.##.####.##...##..###..#.##.######.##.#####.####.#.#.##.###.#...#...##...##.##...#.####...######..###...#..#..##.###..########.####.#.##....#.#.##........##.#.##.####..#.#..#.#.....#.#.........###...........#.#.###########.##.#.##.#...#.###.##.#.#.##.#.#............#####.##...##.#####..######.#.#.###..##.#.#...#.#.#.......#......##.##.###.#.###...##.....#################...#.######...#.####.########.###......##..###.##.#.##.........##..#.####.#.#.#..####.##.#...#.###.##.#.####.###..####.......#.#..#..............#.#....##.#.##..##...#.##.##.##.##...#####.........#######....#.##.##.##....##.#.##.####...###...#.....##.#..#.#..####.##.##.#...#...........#.....##...##.##.#####.###.####.##.#.#.########........#
#....##.#####.#.####.###.####..##.##...#...####...##......##.#.#######.##..###...##..#.########.###.##.#######.#.####..#..#####...##.#.#.#.#.#.##..#..##..####.##.###..#.####.#.#.#...##...#.####..##....####.#.#...##..##.##...###.#.###..#.#.#####.#.#....#.##....##.###...#.#.#.#...####.####.##.#####.####...####..###..#..........#....#.#.#.#..##..##.###.###.#..#.####.#..##..#....#.#.##...####.##.##...##..###...#...##.###..##........########..#.##....##.#.####.##.######.#.####.##.##.##.#######.....#.#.#..#########..###.....#..###.####.#...######.#.#....##....#..#....###...##...###.####..###...#.######.#.#.###.##.###.##.#.#.#...#.#..#.#.#....#.##.........##.##....#.#.#......#...##.###...#.########.###.##########.#.##..#.#########.####.#.#####.#.###..##.##.#.......###...#..####.#####.#.##.#.###.#.#.....##..#.#..##.##.#####...####..#.#....#..#.#########.#.####.#..#..#.##.#######.##....##.#####.##.#.######.#####....#########.#.###.##.#.#.######.##.#########......####.##..###.#.#######..##.#.###
##.#.##.##....#..##......#.#..#####..#.#.###....#.#..#.####..#.##...##.###.##..#.##.##.##...........##....###..#..##..###.#.##..########.#......##...####.#..#..###...####....######.###.###.##...####.#...#######.####..#..###..#......##############.#.#############...###.###.#####.#....#.........#.###....#....##..###.##.##.###.###.#####.#.#.##..##...##...###.##....#.#.###.###.#.....##.#..#.#.##.#..####.##...#.###..#..##.#####.##.#....##.##.#####.#.##..#...##.#.......#.#....###...####.....###.#####.#.#.##.#.##.#..###..##.###...#....#.#.#.....##.#.##.#..##.#######.#...########.##.....##..##.###...########.#.#..#.#.####...###.######.#.####.#......#.####.##...##.###.#.###.####.#......#######..##.##...###.#.#.####.#.###....##.#.#######........#.#..#########.##.#.#.##.##.##.########..###..#.#.###.#.#.##.####.#######..#.....##.###...##.#.##...##................#.#.#####..######.....#.####..#.....##.#......#..##...#####.##.###.#...###..###.....####....#.##.####.#.##.##.##.###..#.......#.##..#...#
#..#.#...##.#.##..###.##.#.##.....##.#.#.##..####.#.##.#####.#..###.....##.##.##.#..##..#.#####.#.#.##.####...##.####.##.....##.##..#.##.#.###.####.##......#########.#.##.##...###..##...##.#..#..##..#.#......##.#.##.###...##...###.###.##.#.....##....##.##.#.##.#.#...#.##.....##.#.##.##.#.######...###.###.#.###..##.##.##...#..########.#.###..#####.##.#..##.##.##.###.##..#.#.#.########.##...#####....#....#.#...#.#####....###.##.##.#.....#.#...###..##.##.######.#.#.##.##.#.....###....#.###.....#........#......#.###..##....#.#.#.#.##.#.##.#.###.#.##.####......##..###...##.###.##.#.#######....#####.#.#.####.#.##....##..####.......###...##.#.##.###....#..##.###.....#..##....#####.##..####...##...######.........#.#..#######..........##.#.########.....#.##...#.#.#.....#....#....#.##.######.#...#.#.#.##....#....##...##.#####....##.###.#.###.##..#.##.#.##.######.###...#.####..##.#.##....########.##.#.#.#.###..###.....#.#....#.#.######..####.#...##.####.##...##.#.....#..###...###.#.#.####..######
####.##.##..#..##..##..###....##.#####.#######....###......#.#.######.###...####.#.##..####.....#.#.#....###.##....##.#..#.#.##....##....#.#####.#######.#.###..#.##....####..#...##..##.##..##.#.###.##.##.#####..#..#######..###...#.##..##...#.#..##.#.....#......#.#.###..##.#.##..#..######........#...#.##..#...##....#####.###.##.##.#.########..##....#.####..##..#..##..##...###........#.#..#...#.#.##.#.#.#####.##...####.#...###...#.#.###.....############.....##.#.#..#..###.#####.######.....#.#...#.#.##...##.#.#...#.##..############..#..#.#...#####.....#.#.######..##.#......###..#.....####.#..#.##..........####.######....##.########.######..#.#########..#.##..##.###.##.##....##..##....##.##..#####....#.#.########.......##.#########..#..##...####.#....##.##.#.#.#.#.#.#.##.#.##.........#.##.####.#..###.###.#.###.#######.##.#.##...###..##.########.###......######.######...#####.####.##.#.##....###.#.###.####.#.#.#.....#.####..##.#####..####.###.###...#.#.#..#.###...########.#.#.#...#####.##.#
#....#...##.##..##.#..##...##.##....##.#...####.#...##.##.##.#.##.....###.###....#####....##.##.#.#.##.#..##..##.#.##.#.##.#.#..#.#####.##.........#.###.#...##......#.##.##.###.##..##...##.####...#.##.##..##.####.###.#.#####...#######.###.#######..#.###...######.#.##..#####..##.#.##......####.###.#.#.###.##.####.#.....#..##..........##......####.#.#....##..##.#####.##..#..##.###.#.#####.#.###....#.#.#....#####.#...##.##.#####.##.#...#.##.###..##.#.##..#.#..###.##.##..##........#.##..#.#####.#####..###.##.####.##..##.....#.#.#.######.#.#.#.....##.####.#....##..#####.#.#######.##.##....#.##......#.#.#######.#....##..#.###.....##....#.######....####.##.#.###.##...#..#.##.#.##..####.####....##.#.###.######.##.#.#.###.#...........######....###.#####.#.##..#####.###.###.#..#....#####.#.###..#.##.##..##.##..#.#....#.##...##.###..###...###........#...#.#.##...##.#..#.#...#...##....####.....##.#..##.#......##....#.####.####.###.##.......###.####......#.#.####.#...######.##.#..#####.#..#.##....#
####.##.##...#.###.##..###..#..##.#.##.###......######.#...########.#...#..#####.###...#.##########.#..#####.###.#.##.#.######.##...##...#.###.###.....#.#.#.##.#.#.##....####...##.####.##..#.#..#.#..#..##.................#.###.##.##.#......##...##.#...#.#....##..#.###.....#.##..#.###.#.#..###...#.#####....####...##.#.#####..##.#####..##.##.###...#.##.#.##.##...##....##.##.##...###...##..#...#.#.##.###.##.....#####..#.##....##.####.###.##.....##.....#.#######....#.##.##..##.###....#.##...##..######.#....#...##..#######.#........############.##..#....#.#.#########.######....##..#.##.#######.#.######.....#...##.#..##.#.#...###.###.###......#.##......######.#####.##.##..#.#..#.##......#..####..#...#.#.#.##....#.#########.#.####.##...###.#........########...###..##...#...###.#.#######..###....#.##.#####..##.##.#...##.###....##...###...#.#.###.####.###..#####....##.#.###.#..##.#......#.####.##..#.#.#.########.#...##........#....#.#.#......#.####.###....#.#.###.........#.#.###.#####......#.##
##...#...##.##...#..##.#...###.####..######.#.#....##..##.##........##.#####...#...##.##.##.........##...##..#...#.##.#.....##.##.#####.##..##..##.################.#..##...#######.#..#.##.##...##.##.##.##.#.#.#.#.##.####....##.........##.#....#.##.#.#.#########.##..##.###.#..#.####...#.##...#####..#.#####.##.###..#.#.#.###.###.....#######....#.#.#.#..####.###.###.#.#########.######.######.#####.#....######.#..#.##.##..##.#.##..###.###.##.###..##.##.#...#...#.#.##..########...#.#.##..#.#######.#.#######.#######.....##..#.#.######..#.#.#.#.########.#####..#.##.#.......#..##.##.##..#.......#.#...####.###...#######.##.#.##.####..##.....######..#.####....###.###...##..##.#########.##.#...###.#.##.###.#.#.##.####.......#############.###...##.#.#.#.......##.###...###.###.#.#.###.......##..###.#.###....####.##..###.#......#######.#...###.#.#...#...##.####.......##..#.#.###.#.##..#.#.#######.###..##.###....##....#.####.#####.##.#.####.##.###...####..##.##...#####.###.#.#.......#....##.###.#####
#..####.###.##.#.#.##..###..##....##.##.....####.#..#.##..##.#.##.#.##.##....#...###...#######.#######.########.##..#.#.#.#..###....##...#.###.###...##.#.#.#.##.#####..#.#..####.####...##..#####..##..###..###.###..#.######.####.#.#.##..###.#######.#.#.........#####.##...####.#.#.##.#.#.#..#.###.####.....#....###.####.....#.##..#####...##..#.####.#.##.###....#...###.......##.......#...##.......#.#.##......#.####.##.##.##..#..#.##.....####...##.....#######.###.#..##....#.#.##.##.#..#.##..##.........##.##......##.##.####.#.#.#....##.#........##....####.###.#.##.#.#####...#####...##.##.#.#.####.#..#.###.#######.#.#..#.#.##.##.######.##....####.#....#.##.......##.######.......##.###..#.#..#.....#.#.#.............#.#####..#.##..##.#..####.##.#.####.#.##########.##....##.#....##.#########...#.######.#....#..#.##...#.##.###.#.#.###.#...#.###.#.##.##.....##.#.#.####.......#######.#.#.....#....###.#....##.#..##.#.#....###.######.#....########.###..##.##..##.####.....#.#.#.###.#...###########.#.#
##.##...##..######.##.##...###.#.##...#.##.###.#.####.###..#.#.#..###...#######.###..###..#.########.........##..##.#.#.#.##..##.#.####.####...##..#..........#...###..##.##........##.#.##.##.....####..###..##.##..##.....##..##..#######..##...#.#.#######.#.###.....#.##.#..#.###.#....#.###.##..........#.#.##.#...#....#.#.###..##...#.##.##..##....#.###....#.#.##.#..##.#.#.#####.####.#.#.###.#.######.##.##.#.#.......####.######.#.###.##....#.####.#.#..#.#.#....####.##.##......#..#.##.#####....#.###.#.....#.#######.####.##.#.#...##......######..#.##.......##............##.##...##.##...#.#.#...##.##...##....###.....#.#######....###.#####.#.##.###############.#.#####....##.##.#......##.#.##...#.#...#...#####.#.##.##.......##....###.#.##.##.##.#...##.#..##...#.######.#.##.#.####.........######......#.#.#.##.##.#..#.###...........##.##.##..##.#.######.#####.###..#.###.##.###.#.######.#.#...##...#.###.##..#.#####.#.##..........####.#....###.#.....#########.....#.#.#.#.#.#...###.#...............#
#..####..##....##...#####.##...#.##.######.##......####.##.###.#.##...#...##......#.##.##.#.#.##.....##.#.#.##..##..#.#.#.##.#####.#.#...##..#..##.###.#.##.#...#...##..#.###.#######..#.##..####.##.#..##...###.##.###.#.#.###..##....#.##.##..#...........#.#...##.####..#.##.....#.##.#.#.##..##.##.#.#########..##.###.#.###...##.#..#...##.##.##..##.#.##..#.##.#.##.####..#.#.....#....#.#.#..##.#..#...#.##.##.#.###.###.##........#.#...#.##.#.#####...####.......##..##...#.##.#.##########...####.###...#.##.####.##.##.###.#..##.#.##.##..####......##...#####.#.###.#.#.#####.##..#..#.#..####.###.#.#..#.##.#....####...#.###.....##..##.........###.....##.#......########.....#######..###.#.###.#####.######...#.....###########.#.####.##.#.#.#..#..###..#.#######....#.......##.####.#..###.#.#######.#####.#.#.#.#.####..###.##...##.#####.##.##..#####..#.###.#.#....##....#.##...#..#...#........#.#.#.#.##.###.#....##.#.##....#####.##.#.#.#######.####...#######.###.#.##.#.##.#.#####.##.##...###.#.##.#.#.####
##.#....##..#.#####.###...##.#.#.#..##.#...#####.#...##.##.##..######.##.##..##.######.#.........#.#..#.#.#..##..#.##.#.####...##..#.#######.##..#.###.#..####.###.##..##.#.........##.#.##.###.#....##.##.#...#.##...#.###..##.####.#....#..##.##.#.#.######.##.##.....########.#########.#..##.##..###........###.##..##.#####.###..#.##.#.....#####..#.#####.#.##.#.##..####.#.#.#.#####.#############...###.##..#######...#..###.#.#.##.#.#.#..#.#####.###...#####.#.####.####.#.##.#.....##.#.#.#..##....#.#.#.##...##..#.#...##...##..#.##.###...##.#######.#....####.#.#.#.#.....####.##.#####..##....###.##.#..#.##.#...#..#.#...##.##..##..#.###.#.###...#.#......###.##...#.##.#######...##..####...#.##......##...#.###.#.......#...###.......###.#.#.##.#######...#.#.#.#.##.#####.##....####...#.#......#.....########.#....##.#....###.#......########.....##.#.......##.#..##.###....####.#.###.#####.####.#.###...####.##..#########....####..#.#....#.#.......#######.....#.#.#########....##..######...#.####.###....#
####.##.###.#.#.#####.###.##.#.####.#....#.#.#...###....##.###..##....#..##.#######......#.#.#.#.#.##.#.#.#.##..##.##.#..##..#..##........##.##.####...##.##.###.#####.#####.#.##.###..#.####.....#.###.#..#.#.#.##.#.#...##.##.##...##.###.###.##.#.###...####...##.##.....##.......##....#.##..##.#####.##.#.##.####.##......#..#####.##.##.##....##.##...##..######.###....#.#.#.#....##.#.#.#.##.##...#########..#.#..#.####..##.#.###..#.###.##...##...##.#....####.##......#.####.#.###......#.######.###.#.##########.....#....#..#.##.#....#.#.##.......######...##...#.#.##.##..#.####...##..####.###...##.#.##..#.#.#...####.#.##..#.####.#.###.#..##.#.#.#.##.##########..............#.#..##..#.######.#.##.##.###...#.#.#######.#####.#.#.#..................##.##.#.######....#####.##....#.#######.####.###........#.#.#.###.##.#...#.#.##.#......#.##.#########.#####..####....##.#.#.######.#.#.########.#..####..##...##...##......##...##.######.##.##.##.#.........#.#......##.....#.##.##.###.####.##..##..##..####
#.#..##.#...#......##.#...##.#...##.##.#.#.#...#...##.#..#...##.####.##.#####.#.....#.#.####.###.####.#.#.#..##.##.#..##.###.####..###.#.##..##..##..###..........##....##...#.##..##.####.###.#.##...####.#.###.##.###.######..###.######..#.#.##.#..##.###.###.###.###.#######.#.#.#####.#..##.##.....#.####.....#.#.###.###.##....##..#..#.#..####..#..#####.##.#.....#.##.#.###.##.#.#...........####.........##.....##....#######...##.#...###..#....###..#.##..########.#.######..######.#.#.#.....##..##.#.........##.##.####.##.##..###.##.###..##.############.##################..#...#..#####.##########.#.##.##.#.##.##.########.#....#.#...####..###.#.#.####.#.##.###.####.#.#.########....##...##...#..####.##..#####....##.#.#...#######.##.####.######.###........#.#.##.#.....#..##.#.#......##.......####.########.#...####.##.##.#..###.##.###.##...##.####.....#####...#######...#.#.#.........#.#.####....##.##.#.##.###..#.##..##.##......##.....#.##.##.#.#.#.##.#.##.#....##.####..##........#..#.####..##....#
#.##.####.###.######....#.##.##.##..##.#.#.#####.#..######.#..#..##..#..##......#.#.###.#.#..#....#.#.#.#.#.##...#.#.###.#....####...###########.###..###.##.####..##.#.##.###..##.##.##.......#####.##....#...###..##.......#.##...#....##...#.##.##..........#...###.#..#..###.#.###.....#.###.###.####....#.#.#...#..##...#..##.#.##.###.####....##.##...#.#....##.##.#..#.#..##..###.##.########.#.#..#.##.#.##..##.#####.#####.##.#..#.#.#..##.##.#.###..##..##......#.######...##...#..#.###.#.###..#.#####.##.#.#.###..#....#..########..##...#.##.........#...###.####.#.#.......#.##.####...##..###.#.##.###.#..##.#..###.........###.##.###.#.##.##..######......#.#......###########.##....#.####.##..#.#.###....##..#.#####........#.......#.##....#......#######.#.##.....##.##.############.########.#.##....#.......##.#.#..##..##.####.##....#..#..##.#.....#.#####...#.#.#....#.####.......#.##.####.#....##.###...#.#.#....##.#.##.#######.#.###..##.##..#..#.#.###.####..#.##.###....###..#.#.##################.#.##
#....#....#......#####.##.##.#...#.##..#.###.....#.###.#####.###.##.##.######.#.#.###...#...###.#...###.#.#..##.##.#.#...##.#....#.#...###.###.###...##.#..#....####..#.##...#.##..##..###.#.#.##.######.#.#.#.####.#..#.########.#...######.####...#.#.#.#.#.####.....##...##...######.##.####..#.....#####.#.###.#.#.##..#######.#.##.##...##..##..#.##.#...##.#.##..#.##.####.#..###..##.......##...#.##..#####..##...##.......#..#.########.#####..#...#.####..###.##.#..#.#.##.##..#...##..##.#...#.##...##...#.#####...##.#########.##.####..###.####.#.#.#...#.##...........#.#.###......######..##..........#.##.#####...#.####.#.##...########.....####.#.##.#.##.....####.....#.#.#....####.#...##..##.#.#...#.##..##.......##.#.#.#####.#.#.#.##.#.##.#.######..##.#####.#.######...........##......##..#####.###.##.##############.##....#.##.#.##.##.#####.#.#....#.##.#...#.#.##.#..#####.#.###..#........#######.##.#######.#.#..###......#.#.#..##.###.##.##.####..##..###.##.#########.#.######.....#.##.#.##.##...#..#
##.#.#.##.###.####..#...#..#.###.#.##.##.##..#.#.#.........#.##..##.#..#.#....########.###.##...##.##...###.##...#.#.###.##.#.#.####.###.#.......##.##....#####.#########..###..##.##.##...###.....###.#.#.###...##.##.#....#.#.#.#.#..###.###..##.##.#.#.#.#..###########.##..#......#.#..##.#.####.#.....#########.#..##..#.##.#.#..#.##.#..##.##.##..#.#.#.##.#..#.##.#.....#.##...##..##.#.##..##.##.##.###.#..###.#..##.#.####.######.##.......##.#.######.##...#.##...##.#.#...##.##.#######.##.##.########.##...#####..#...#.##..........##..##..##..###.##.####..#.#.##.#.##.#.....#.##.#.#.##.###.######.#.#.##...##..#....###.######......##..#.#.##.#....#####..#.###.##.#.#.......##.#..#.###############.#####.##..#.##########...############.#..###........##..##..#.###.##.########.##..#.##.#..##....##...#.##....#.#.#....##..#.#.#####.#.##........###.###.##.####.#.###.##...##.#####...#######.#####..#....##..##.....#.##..###.###...#.#.##....###..##...##.####...###..#.##.######.##.#####.#....#...##..##.###.#
#..###.##.#......##...#.#.####...#.#..#...######.##.#.#.########..#.####...#.###.##....#....##.##...###...#.###.######...#..#.#..##........###.#.#..#####...##.........##.####.##..#...#######.#.###.#.###..###.###.#..##.###.#.######.........#####..#.######..........##.###.#.##.#.####....#.##...########......#.#.####......#.#.##.##.#.##...#..#.##.#.#..####.#..#.#.#.######.####.##..#..#.#####..##.....#.##.###.##..#..##....##....###.#####..#...##.#....###..#.#........#..######.....#.##.##........#..#.#...##..##.#......#####.#.####..#.####...###...##..#########..#.#.#######......#.......##.######..##.####.#.#.##.####...#.#.#.####.#.#......##.##.##.######..#.#.#.#.######...##.........#..##.#...##...##.#.##.##...##.#........##....#################....######.#.........#.##.##..#.####..#.##..#########.......##.#..##.###.....#..####.#######..##.......###.#....###.##....####..#.##.###..##.##.#.#########.#######..##...###########.#.##..#####..###.#..#.####....#....###.#......#.#.####.#..#.##....#.#
##...#######.##.###.###.#######.##.#.######.......#.###.....##.##.###....#.###......######.###.#..#..##.#.#..##......###.#.####.####.####.#########..##...#..##.#.###.##.....#.###.#.#..##.....#........##.##.###.#.####..........##...#####.#...####.#.....##.#.##.###.##...###..###.##...#.####..#..........####.#.#..#.##.#.##########..#..##.##.##.##.#.##.##...#.######......#....#..##.#.##....###..#.##.##......#..##.##....####..####.#.....#.##.#....#.##..##.########.#.###.....###.#######.##.###.####.####.#..##.##.##.###.....#.#....##.#.#.#..#.##..#....##.#.#..##.##.#...######.#.###.########...#.###########.###.....#.#.#####.###..#.####.#####......######.#.####.#.#......##.#######.#.#...##....#..##.##..#.......######.####.#####.#...........#.##.#######.#......##.##.###.###########.##.#..##...##.#####.#.#######.##...##.##.###....#.......#.##..##.#.######.#.###..##.##....##.......##.##.....#######.##.......###.##.#......#.##...#..##....######..#.##....####.#.####...#.##########.#..#.##.####.##.#
##.####.##...##.##..##...#.#.....#.######...#.##.##.####.#.##......##.#.########.#.####.#....#.####.###.#.#.##..#.######.#.#....#.#...###......##.##..##.##.##..#####.##.#.#####.#.####..##.#.##.###.####......##....##..##.#.###.##.#.....####.##.####.#.######..#...#.##.#.#...###..#..#.###.#####.#####.##....######.#....#..........##.##.#...#..###..#..######.#...##...#.##.##.######..#.##.##...##.#.##.##.####.#.#######.#....##.##...#.#.#.####.#.#.######..#........###...##.##..#...###..###...##....#...##.##.##.#####.#.#.#########.##..###...##.##.##.#####.#.#.######.#.#...#.##.#............#.###..##.#.#.##...##.#.#.........#...##....##......####.#.##.#........###.#.#.#.##..##.############..#.###.##..#.###.#.#####.###.#.####.#.#.#.#.#.#.###..............#.################.#.###......#.#.###.#.......##.#...##.######.###.#..##..##.#.##.#.#########.#......#.#...##.....##.###..#.#.#.....##.##..#.##....#.#.###...#.#..#.##.#...##.#.##.#..##........######.#...##....##..#.....#...#.#....##.....######.#
#...##.....#.##..##.###.##.####.#####.#.##.#####.####....#######.#.##.###.##.....#.##.....##.###....##..###.#..##..##....####.#...###...##.#.#....##.##...#..##.....#..###...##.....#########.#...##..####.#.#####.#..##..#.#.########.#######........#.#......#.##.###..#.###.#...#####.#.##.........######..##..###.#.##.#.#.####.#.#######.#.#.##...##.#.##......#.#..###.######..##..##.##.#...#.#..#.#..###.....###.....##..##.#..#.#..#.###.#....#.###...##...##.#.###.#####.##...##...###.##.#######..######..#.##.##...#.###.######.#.#####.#####.##...#.##.....#..........#.#.#.#....#.##.#.#######.......##......###.##..###.##.#.#.###.##..#.####.##########......##.#######.#########........######.#.##..##.##.##...#.#.........#.....#....###.#.#.#...###.########.#......###...###..#........#.####.###...#.###.###..#.#.....##.####.####.##.###.#..#.#.......#.####.#.#####.####.#.#.#....##.#.#.##.##.....##......#.##.#...##.##.##.###..########..#.##..##.#.#.#......#.##.##..#.###.###.##...###.#.######.##....##..#
###.##.#.#.###..##..#....#.##.#..##.........##......##.#...##.#..###..#......##.##..###.#.##...####..##..##.#.##..####.#....####.##...#..#.########..###.##.###.##.##.###..#.##.#.#..#.#.#.#..##.####...##.#.....#.#.####.#.#....#..##.......##.#.#.#.#.#.##.#.#.##.######..####.#..##...#.#..##.#.##......######..#..#.##.#.#....#.#..#.##.###.#..#.####.#.######.#####.#....##.###....###.##.#.#.#.#.##.#.######.#####.#.#######..##.....##..##.#.##.#...#.#..###..#.#..##.....##########.####..........##......##.#..#.####....#...##..#.......#.##.##..##.##..##.##...####.#.#.#.#.#.##.#.#..#.#......###.####....####..#####.##...###################.#.........###.#.#.##.......####....##..######..#.#...#.##.##..#..##.#.#.#.#####.#########.######.#.#.#.#.##.....#.#####.#.#.##.#.###.##...###.##.#....#...##.##...#.####.#.##.##......##...##.##...#.##.#.##.#.##......#####..##..##..#####.#.#######.##..##.####..#.#.##.##.##.##..##..#...##.......##.##.###.##.#.#####.#.##..#..##.#.##...######.####........######.###.##
###.#..#.#...#.####.##.#...##...####.#.#.#.##..#.#######.###....##...######.######.##...#..######...####.##.#.##.###...#.##.#.....##.#######..##..##.#.#..#...#..#.##...##.#.#..#.####...#...##.....##.#######.#####..##..#.##.#...####.#.##..#.#.#.############..###.#######....##..##.#####..#####..##.#......##...##########.#.#.##........###.##..##..###........#.####.#.....##.#.##....#.#.###.#.##.#....##...#..#.#.......##.###.#.####..###..#.#.#.########.##.#.####.#.###.#####........#####.#.##..#.##..#.#.##.#....##...#..##...####.####...###########...#.#....#######.#.#.##.###.######.####.#...#############.#.###..#...#.#.#.##...###......##.#.##...#.#######.#.##..#...#.####......####...######..##.#.#####.#.#.....####.##.......#..#########.###.##......####.#......#.#....#...#..#####.#######.##.###...#######.##.#######.####..##.#######..#.#..###.#####..##..##..##...##..#.......#..##..#....####.#.########..##..##.#.###..#.##.###..###....#.#..#.######..##.#####....#...##........#.####.##.#####.####
#...##.###.#.#.##.###..##.###.#.#....###.#..##.#..######...####.##.#..###...##......######...##...###..#..###..#.#.##.##..#.##.#.##....##.###....##..#...##.#.####..##.###.#.##.#.##...#...#.##.#.#.#.......##....###..#.##.##.###.##...#.##.##.#.#....#.##.#.######.......####.##..##.....##.###.##.######.###..#.#........##..#.#..###.#.##.##...######.##..####.###..##..#.###.##.#####.#.#.#...#.#.##.#.##..##.##.#######.####..#...#...##.###..##.###....##....#..#..##..#..#......#.#.##.#.....#.###..#####.##.#..####.#.##.####....####.###.##.#####...#...#.###.##.####################...#..#..###.#####.#..##...#.......####.#........##.##.##.##.##..#.##.###.......###..##...######.#.#.##......#....#.####..#.....#.#.#.#.#..#.#.#..##.#.##.######..####....#.##.#....###.###.##.#.####.#######..###.###.#..#..##.#...#.##..##..........##..##......##..##.#.##.........###.#######.#####.##.##.#.#.##..##.##....#.#...#..##..##..#####...#######.#.##.##..#.##.##....##.#####..#.#...##.##.##..###.####...####..#........#
#.#.#..##..#.#.#......#####...####.###...#.##..##...##...#..##...#.####...#..###.#.##..#.#.######...##.##.#...##...##.#..####..#.#..##......#.##########..#.#....#.#####.###.#..#.#..#####.#.##.#####.##.#.####.#..#######..##...######.####..#.#.#.##........#.#..#.#######....##.######.###.#......##.#....#######.###.######.########.####..#.#....##...##.##.......##..##...#.##...#.#.###.##.##.#.##.#..#####....#.#.###..###.###.#########.##.##...#.######.#.##.#.####.##...#.#.####.##.#.#.###..###...#.#..#.##..#.#.#.#....########....##..#.#.#...#...###..##.##...#.#.#.##.#.##.##.#####.###...........#.####.##.#######.##.#.##.#.#........####.###.####...##.######...###.#..#.#.#.######.###########...#####.#.#####.#.#.##.......#######..##.#.##...####.##..###.#.##.....#......#######.##.#.###......#.###..#.#.#.#.###..#.#.##.#.#..#.##..##.#####.####.########.####......##......#..#..#####..##..#.###.#########.####..##.#.##..#..##.#.#....#########...##.#........####...#..#.##..#####.....##.##.###...##.#####
######.###.##########...##..#...##...##.##.##.####.##..#.#.##..#.###....#.##...#######.......##...###..#####.###.#..#.##..####.#.##..##.##.##.......##...##.#.#######....###.#.##.#.##..#..#.##...##...#.#...##.##.......##.#..#.....##.##.#.####.#.##.#.#.##.....##.###.#.##.#.#..##...###...##.###..#.####.....###...#####..####.#.#.####.######.######.##..##.#.#.#######..#.###..#...#..##..###..#..#.##...##..##.....#.##...#.#.....###.....##.######.....##.#.#..#..##...############..#.#.#...##..####...#.##.##.##...#.#.##..........##....##.....#.###...#####.##.#.............#..#.........##.##.#####....................#.#..#.######.#.#..#.#.#.#....##.###......#####.####............#.............###...###..##...#.#..#.#.#.######.#..###.#.#..#...##.#######.#.####.#####.####..##.#......#...#########..##.#.#.....#.######..###.##..##.##...##...##.......#.#..#.##.###..##.#.#######...###.########.###.#####......#####....##.##....#.####..#.#...###.###.#.####.#..##..#.#.##..##..##.###.#######..#..######...#
#......#.#...###......#######.#.#..#.#..#...#..##..##.####..##.#...###.##..##.###.##.###.#.#.####.....##.##..#...#.##..##....###.#..##..##....###.###..#..#.#.##.###..##...#.#.##.#..##...##.#..#.###.####.#.##.##.#.########.##.#.#..#....###.##.#..#.#.#..#.##.##..#......###.##....######.##....##.#.##########.######....####..#.#..#.#.....##..###...#####..###....#####.#.#######.###..##..##.##.##..##.##..##..#.#.#.####.#.###.#.....###.##......#.#.#..###.#.###.##.#.........##.##.#.#.#.#..##....#.#####..#######.#.#.##.###.#.#####.##....##.######.#..#..#.##.#.#.##.###.##...##.#####.#######.....#.#######.#.#.##.###.###.#####.#######.##.###...####....#.##.#..........#.#.##########.#.###########.##.##...#####.#.#.####.#....##....##.......#######.......###..##.....##....#.##....##.#...###.......##.####.##.##.#####.#####....##.##.#..#####.####.##.#...##........#.##..#......##.#...#......##......#.#...#.##..##...####...##.#......##.....#...#...#.#....############.###..##.....##.#.#.#.#.##.####.#..###
#.##.#.#...#...######.###.....#.##.####.##.##.##..##.....##.##.##.##...#..#####..........#.###.#..#.#..#..##.#.#.########.##.#########.##..#.##.....##.#.####........#########.##.##.###.##..#.####.....##.####.##.#....##....##.#.####.##......#.#.##.#.#.##..#....##.############.#..##.##..##.###......................#####.##.#.#.##.#.#######...###.....######.##....##.#....##.#..###..##..#..#..#.###..##..##.#.#......#.####..##.##...#..##.#########.##...#.##..##.#.#.########..#.#.#.#.#.##..#.####..#####.#..####.#.#....#.#.###.#.##.##..###.#..#.##...##..#.#.####..##..###........###.#.##..#.###.......#.#.#..#...#.##....##.....#.####...##########.#.#..#.#.#.##.#.###.#..........#.#......##.###.#...##.###.#..#.####...####..#.##.##.###.###.###.#####.#..#######.##..#.##...##.#####.#.###.#.##.##..#....####.##...##....####.#..#..####.....#...##..#.#.#..#####.#.##.#..###.#.###..#.######.#....##.###...#####..###.#...##.#..#.#.#.#.####.##.#.#.#.###.#.##......##.##.....#.##..#.#.##............##.#.#.##.#
#.#..####.##.#.#####....#.###.###..##.#..#.##.#..##..#.#.##.#...#.#..###.##..###.#.#.###.#.##....##.##...###.###.##..##...##...##.......##.#..#######..#..##..##.###....###.####...#..##.###.#...####.###...##..##.#.##..##.#..#.#...##..#.####.###.########..##.##...........##.#..##....##.###.#...#.###########.###.#.##.#.#.............#....##.###...#.###.#.....##.###..##.#....##...##.##.##.##.##.##..###.##..######.######.##.##..##.##.##..####....####.#.#..##..###.#####..##..########.#####.#....##.#.###...##.####.#.#.##.#.....#.######..#....##.##.#.###.#.#....##.###..##.######..#.....##.#...#.#.##########.##.####..#####.###....####.##...#...######.####.#..#.#.###.##.##.#.#.##.##.###..........#######..####....###....##....#....###............##.##.....##...##.#.##.#........#.#........#.##.##.##....#.##.#....##...#####.##.##...#.####.##..####.##....##.####.#.###..######.#.....#####.#..#.....#....###...#.###..####.#.#.#.#..##..####.#.#.##..#.##.######..###.#.##..####.#.###.#.##.####...........#
###.##.....#####.....#.##.##...######...##.##.#.####.#.#.#..##.##.####....##...#####.##..#####.#..#..#.#...###......#####..########.#.#..#.#.##.....##.##.###.##...#.##......###.#.####....###.#...##...#.#.###..###.#####..##.#.#.#######.#.######...#..####.##.##.#.####.####..#.###.########..##.##.######.####...###.##.#...#.#########...####....###.####....#.###....####..##.#####.##..##..#..#.##.###.#...###.....##...##.#..#.#..##..##..##......#####.#####.####.##........###.##.#....#...##..#.##..........#.#...##..#.#..#.#.#.#.###....##.#.#.#####..#..####.#.#.#####.#.##.......##...##.################.#.#.#.#...####........#######.#..#..#...#......#..##..#.####...###...#.###..#.##.###.##.#.#.#..##.#.##.#.##.#####..#.##..#####.#...#.#######.##.##..#.#####..###..#..###.#.#.####.#.###.#.##..######..######..###.##..#.....#..#.##.###....#..##.#.##.##.##..#....###...##.....##.#.#.###.#.####.##.#######..######...##...##.#######.####....#.###..#.##..#........##...#..##....#####...#.##...##############
#....####.###....##.##..#.###.##......#..####.#...##.#.#.##.##.######..#.##..#........##..##...##.#.##.#.#.###.#.##..##...####......######.#....#####..##...####.#.#..#.##.###.###..##..####...##.##..###.#..##.##.......##..#.###.##.####.#...##.#####.##.##..#.##.#....#......##.##...##......#####............#.########.##.####...##..#####.#####..##..##..####...#.##....##.##.....#######..###.####..##.#.#...#.##.##..#......####.####..##.##.#.#.####....##...####.##.###.##........#.####.#..##.#..#.##.##.##.#...#..#.##.#.####.######..#.##....#.##.######...####.#.#.###....###.###..#.#.#####.#...#.#.#.....#...#.#.#...##.#.##.#...#.#.#.#.##.####.#.#.##.#.##..##....##.##...#.#.####.#.#....###..#.#.##.......#...##...##..##..##.....#.#####.......#..###..##.....##...##.#.###..#.#.#.#######..#####......##......##...#..##.##.#########...##.##.##..#....#..###..###.###...#..##.#.##..###........#.###...##...####....#.#.##.#..#..#....#..#.#.#######..##.#..###.#.#.#.####.#.###.##.##..###.#.##.#....#####.....#
#.#.##......###.##...####..##.##.####.#.###.###.#.####.#.##.##...##.##########.#.##.#####..###.#..#..#.#.###...#.##.#####.#..######.....####.##...####.####..##..###.##.##......##.##..##....###..###..##.#.##..####.##.##..##.#.........#...###............##.#..#.##.#.##.##.##..##.#..##.#.#....###.#.##.########...##.#.##.#.#..#####.##.#....#######.#######...######.#.##...##.#.###.#.#####.#..##..##..#.##.##.#..##.###.#.#...##...##.##...###.###....##..#.#..##..#..##...###.##.###..#####.##..##.#..#.##.#####.##.#######..##.........##..#.#.#####.#....##.##.####...#.######...########.....#...#.......#####.###.#.#.#.##.#.#..#.#.............###.#.#..#.#..##.##.##########.#.#...#######.#.############.######.#####.####.##.##..#.#.#.....###.######...#.###########.###.#...####.#.........##....####.##..##.#.#..##.#####..#..........##.###.##..#.##.####.##...##.#...##.########..##...#.#.#.##.....##.##..#......#.######..#.###...#.###...#.....##..##..#.##.#.#######.######.###.....##...#..####.#.....#.##.##
######.#.##...#.#..#....##.#...###....#.......#.###....#.#...##.###.#..........#.##.##....##...#.##.##.#######.#.##..##...##..##....##.##....###.##.##....#.####..##.##..##.#.###..##.######...##..##.###.#####.#.....#.##.######.##.#.#####...##.#####.######.#.##..#.#.#..##..#.##..#####.###.#.##...###.......#####..#.#.##.#.##.#.##.......####.....#..##.....#......#.#..###..#.#.............#.####.##.####...#.##..#..##.#.#.#.###.##...###..##.....##..######.####.#.####.####.##.....##.##########.#######..##.###...##.##..####.#.###.###.##.#..###..#.#####..#....#.#........#.#.......##.###...#.#.###.#.........#######..#.###.##.##.######.#.#...#####.##.#.######.....##.#########.#.#..##.###.#.#.####.....#.##.....#....#..#.###.#.####.#.###......###.####........####.###.#....#.###.##.#.##..##....#.########.##.##.....##.##.##.###.##....###..#####....#..##.##....####...##..###..#.#.#.#.#..#.#.#.##....###########.#.###.#...#.###.##..#.#.######.##..##..#.####.#.##..##.##.#####.#.###.###..##..##.##....#.##
#......#.##.###.##.#.#.##..###.##..#.##.#.##.##..###.#.#.#.#.#####....##.##.##.###..##.##.####.#.#...####...#..#.##.####.####....#.#######.#...#.#...##.#####.###..####.##########.##.##.#...#..#.##....#.###...#.##.##.##...##...##.#.....###.##..#.#######.#######.#.#.#.##..######...##..###.######...###.#.#...#.#.##................#.#.#......#####.##..#.###.#.######.##...####.#.##.##.#######.##.##.#....#.#.##.#####..#.#.#...#..##.##...####.##..#.####.##...##.#..##...#.#..#.###.......#.####......#.##.....####.....##..##..#..####.#######.#.##.......##...#.##.#.#.#########.####.#...###.####...###.####.####..#.###########..##......#.#.#.#..#.##..#.####.....#.#.........#.####...##...#.......#.###.#......######.#.#.####...#....#.###.###.##...###.#..######.#.#....######.#...#..#######.#########.##...######..##.#####...#...#..##.#...##...#.##.#############....#.#....##.######.###.#.######..##.###.#.#.#.##......#.#.#.#...#.##.##.#......#####.###....##....##.##.......#######.....##..########.#.##..#
#####.##.##...###..###..##...#######.##.#..#..####...#.#.#.###.....##.#####.#..####.##.#..#.##.####.###.###...##.##..#.###..##.###....##.#.#.###...###.........##.##......####...####....#.#.##.#.##.#.##...#.#.#.##..#####.##..#.##.#.###..##....##.#.##......##.##########..##.##...#####.#.....##...###...#.#.###.#..#.###.##.#.###.#.#.#.#.##.#####.#####.###...#.....##.##.#..##..#..#..#..........#########.###.##.....#.##.#.#.#.#.##...###.#..#######..#....##.######.##.#...####.###.#.#.#......##.#.#....#.#.#...###.####..##..###..........##.......#.##.###.########.#.......##.....#.#.#...#....###...#....####.##............##.####.###########.##..#.####....#.#.#.##.####.#.#.#.##.####.#.#.###.#.....###.##.#......#####...##.#.#.#.##.......#..###..##...##.##.###...#####.#####.#.##....#.##...####.#.....############...####.#######..###.######....#...##.#.#.#####.#.#.#.##.........#..##.#......##.#...............############.###..#.#..#.#.#.###......##.#....##....##.##.##.....###.#.#..##........#.#..#.##
#.....##..#.########...###.#.####.#...###.###....##.####.#..##.#.#..#.#.....##.#....##.##....#...##.#....##.#.##..##.....##.....##.##.##...#...###...##.###.####...##.#.###.#..#####..#.##.#.##.#..###..#.###.#.#..##....##..##.#.####..##.##..##.........######.....#######.##..##.#...#.#.#.#.######.###.#.#.#..##.#.##...#.##.#########.######........#.#...###.####.###...#.#.###.##.##.###.#######....##......##.##.########.###.###..#.#####.#.####.######.####..#.##....#.#.#...##...###########.##..###.#.#######.##.###.#######.##..#######.##..##.#.##..#...#.......##.#.#.###.###.#.#######.###.#...##.###.#.......##.########.##...##.........#.##....##..#####.##.###..#....#.#........###..#.....#.#.#####....#.######.##.##.#.##.#.#.#..##.#.#.###..###....#.#...#..#..####.#.....####..##.#....###........#####.#.##.....#.#.#.#.....###..##......##..#.##.#...........##.#.#####..##.#.#.##.###.##.#.#######.###.#.#.#.##....#.##...##..##.##.#.##.#####.#.#.#.##..#.#.####.####.#####.#####.###.####..##.###.###.##.##
####.##..##.##.......#...#####.#....#.#....#####.##.#....##.#..#.#.#####.#.#######.##...####.##.##....####..#.#..##..#.#..##.#.##..######.##.###...#..#..##..#.#.######.......###....##..#.#.#..#.##...##...#.######..#.####..#.###....###..#.####.##.###...##.#.#####.#.#.#####.######.#...#.#.##.......###.#.##.........#####.........##......####.#####.#####...#.######.#.###...###...#.##.....###########.##.###.#.........#.#.....##.#..##......#.............##....###.####.#.#..#.#.....##.##.#..##...#.#......##.....##.#...##...##..##...#..####..#..####.#.##.#.#.#####.#...#..##.###..###....###.###...#####.#######........#..##.####.#.#.##....##.###..##..####..######.#.##.#.###.##...##.#.#.###.#....##.#.##.....##.....#.#..#.#.#.##.####.#..#####.########.###.##.##.#....#.#....##.#######.##..####.###..........#.###.###...###...########.#####.#..#.#####.#####.##.#.....##.##.######...#..###..#.###....###.#.#..##.#......###############........###.#.##.##.#..#.#..........#........##....##.##.###...#.##..#
#.....##..#####.###.##.#.##.#....#.##.##.#.....########.##..##.#.###.#.#.#.#.##....##.#.##....#.##.#.##..#.##.#.######.##.#..#####....##..##...###.##.#.###.##.....#.##.#.#.#.#.#.#.##..####.#.##..###..#.######.#.#.##..##..##...##.#...#.##..##..##...###........#.#...#..#.....##.#####.##.#..#.##.#.######.#..##.##.#....##.##.##.#..#.####....#..##.#.....###........###.##..#..##.###.##.#.#........##.####.#.###.#.#######.##.#.#####.####.#.#...##.########..##.#####...##.###.##.#.#####.....##..#.#####.##.###..#.#......#.##.#####.#..#.##.##...###....#.###..###..##...#.#######.###.##.###.###...####....##....##...#.##.#######..##..######.#.###...##..#.##.###......########..##..#.#..#.###..##.#.#.##..#.##.#.#####.#.####.##.#.#..#....####.....#.#####.#......##..#.#.############.#...#######...##.....################...#...#.###.#.#..####.##.#.##.....#.....###..#.###.##.##..#.#.#.#.##.####...#.####...#.#.#.#####.#.######..##.#.##.##.##.#####...#..#.##.#.##.###.#.#.#.##.##.#######.#..#.#....#.###..##.#
###.#.#..###.#..#....###.##...#.##..#.##.##.##...##......##.##.#####.#.#.###.#..#.##..###..#.##.#..#..##.#.##.#....###..###.##.....######..##.##....###...####.#.#...##.#.#.###.###..##....#.#.##.##...##....#.#.#....##..##..#.####.#.#.#########.##.#...##.#####...#.###.##.#####....##..#####.#..###.....##.##..#..###########..##.####....#.#.######.#.#####...#.####..####..###.##.######.#.#.#.##.###..#........#.#.....######.#...###.####.#.#.#.##....#...####...##...#.##...####.#.......#.#.###.#...##..##...##.#.#.#.#.##..#..##.....##########...##.###...##...##..###.#....##.....#.##.#.###.#####..##.#######..##.#####.......##..##..#.#.###...#.#..##....#.#.#.#.##.####..##.##..##.#.#####..##..#.#..##.#.##.#####.#####.##..#.#.##.#.######..#.#.......#.#.########.......#.#....#.#...###....##.#####.##.......###.#...####.###.###.....##.......#.####.##.##.#.#...##.#..#####.###.....###.##...##.#.....###.##.#.#.....#.#....#.#.##.......##..#.#.#.###.##.######....#####.#.#.#####..####...#.####.#.##...##.##.#
#...#.##.....#.#####...####.#.#.##.##.#..##..##.###.#.##..######.........#...##.#.#..##...####..#.###....#..#.##.###...##...######......#.##...##.#..####..##..#.#.######.#.....##..####.#####.##.##.#.#..#.##.....##..##.##.####....#.#.....##.....#.######....####....##.##.##....#.##..##.....#.##...#.#..#.#..###...........##..#....###########..#......#######.#####....##..##.##....##..#.#.#..#.#.##.###.#.#.#####.#.##.##.###.#.#....##..###.#######...#..####.####.##.##.#..##..##.#.#.##.#...#.#######.##.#..###.#.#.#..##.##.##.#.###.##.#######..#..###.##..#####.#...#.####..#.#...............##.###....########.....##.########..##.......#.###.#.######.....#.######.#..##...##..#.#.....##..##.#.##..###.#...............#.##.#.##.#....#.######.###.#......###.#.#.###.#.....####.###.....########.....#.#.##.##.#...#...##..##..####.###..#.#.#.#....####.##.#.##.##..##.....#.#...#.#...#..#.#..#.##.####.######.#.#.#.#.####........#.#.#..#.##.......####....###.##...##..#####...##....###.####...#.#########..#
##.##.#..##.#####....#..##..###.##..####.#..###...###.###....######.##.###.#....#.##.##.#.#....##.##..##.#.####....##.##..#..##....#.#.#####.#.##.##..######..##.#...#.##.#.###..##...##.....###..##.####.###..#.#..##.####...####.#.#.###.#..##.#.##......##.#....#######..#.#..##.#..########.##.###.##.#.#####...##.#.##.#######.#.########.#.#.##...####....##.......##.#######..##.#.####.#.#.#.##...##.....###....##.####.....##.###.##..##..##.##...####.####.####.#..#####.##.##.##..#.###..#.#.######..#.##.##..##.#.#.#####..#.##.#.........##.##..###...#.##.##...####.##.##.####.#.##.#############...##.#....##....######........######.##.###...#.####.###.#.#.#..........####.###.##.#.###..##.####..#.######.##.#.#.########..###.#..#.####.#.#.#####..##.#.#...........####.##......#######...##.#.###.#.###..#......#####..#.####......##..###########....###..########..####.#####.##.##.##.####.#####..........##.#.#.###....#.###.#.#######.#..##.##.####...####...##.#####....#..#.#..##..##..#.#######.##.#.##.##
#..##.##.#..##..####.#.###########.##....#.##.#.#.##..#...##...###########.###.##.##..#.#.###.###..##..###...##.##.##..##.##..##.###.#.....#.#..#.###......#.#####.#...##.#...##.##.###..########.#...#.#.######.#.###..##..#...####.#...#.#.###.#####.##.##..#.######.#.##.#...##..#.##.##.#.#.##.#...##.#...##..###..#.##....#.#..#..........#.#....#...#######..#.#.#.##.......#.##..#.#.#..#.#.###..#..#####...#.#.##.......#########..##.##..###....#....#...........##..##...##..#..##.#...##.#######....#####.###..#.#.#...#.##########.#.#.#####.#####.##.####.....#..#.###.......####..#..........##...######.##....##......#.#####.####.#..#############.....#.###.##.##.#.#.##.#####...#.#...##.##..##..##......###..#.#.....##.#########.#..............##.##.###.#.#.#.###..#.####.######..#.######.....##.#..##.##.##.#.....#.##..#.##.#.#....##.#.#.#.#.##.#.#######.##..##....####....########..######....#.##.##########..#######...###.......#######..#.###..#...##.#.##..#.#..##...#####..######................##.##
#.###.####.####.###..#.##.#.........####.#....#.#####.#.#..##.##...........#...####..##.###.#...##.##.#####.#####..##.##..##.##....#.#.###.#.#.####.##.#####.#.#...#.#..###.#.##.#....##........###.#.#........#.#.#...####.###.#....#.###.#.##....#.#.######.#....#.#........#####.#....##.....##.#.#.##.##.####..###.#.###.#...##.#.####.#.#.....#.##.#.....##..##.#.#####.#.##.#####.#...######...##.#.##.....#.#.#.##.###.###..##.#...##..###.##..#.###.###.#######.####.####.##..##.###.#.#..#######.##.###.##...##.######.#..........##..#.#..#.#....###.##....##.#.###...###.###.#...##.###.###.#####..#.###.##.##.##.##.###############.#.##...#...##..#.#.#########.#...###.#.##.#.#.#####.#.########..##.###.#.###########.##....####.###..##.######.#.#.#####....#.#.###...##......######.#.##.#.#.#..#.#..###.##..################.##....#.##.#.............###............####.#....##.#......#.####.##.###.####......##...##..###..###...#.#####.##....#.##...##.#.#.##.#####...##..#.#...#.##......#.#.#.##.#.#.##.###..#
#.#.###.#...##......##.##.##.##.#.#.###..#.########...#.#.########.#.#.#.#.###..####.##.#.....#..###.....#####.##.##..##.##..##.#.##.#...#.###.##..........#...###.######...###..##.######.#.#.####.#.##.###.#########.#.#....#####.##.#...#####.#.#.#......####.#.....#########.##.#.##.##.#.#..#.#.#..#.##.#..##..##.#..##.##.#####....######.##.####.#######..##..#..##.#.#..#.....#.#.#..##..#.#..#.########.#######...##.##..##....#.##.##...#..##.#.#..##.......#.##...#.#...##..#.##..#.##..##.#.#.#....#..##.##..#.#.############.####.#.##.....##.....#######..#...#.#...#...#.###.#..#.#.###.......##......######..##.###.#..#......#...##.#...####.##.#....#.##.#####..####............#.#.....#.###.##...#.#...........#..##.#........####...#####.######.#####.###...#.###..#.#####...#.#..........##.##...#..##...##.#.........#.###.#.###..####.#.#.##.#...####.#.#.#.####.######..#.##.###....#.#.#..#.#....#.########.####.....#####.######.###..####.##.#..#.#.#..#....##.###..####.#....##.#.###.###.###########.####
#....##...#.##.###.##..##....#..#.#...#.##.#.#.##.#########.##.#...###.###..##.##.....#.####.###.##..#.#...##......##..#..##.##.#.##.#######...####.##.###.#.###......#.##.##...##....#.########....###..##...#.#.#......##.####.##.####.#...##..#...########....#.###...........####..#.##.#.#.##.#.##.#.##...##..#####.##...###...##.#.....####.....#....##.#####.###..#.###.##.#####.#.##....##.####...##.....##.#.##.#..#....###.##.#..#####.##.###...#.####.#.##.#..##.##.##.###.##..##.#####..#.#.#.##.###.#######.....#.#.#.##.######...#..#.#.#..#######.#.###.########.####.##...####...#...##.#.##.##.####.###..#.##......#.##.######.####.#.###.#.......##.#.....##.####.#..##.##.#.#######.#.##.#.####.#.#.#.#.#.#.##.##.##..##.#.##########.....#...##.......#.##..#.###.####.......#.....#.###.#####..##.#####..#......##.##.#.###...#...##.########.##.###....###.#.#...........#.####...#######.#.#.##.####.###..#.##...#.###.#.....###.##.#..###.#.#####.####.#.#.###.###....##.##...#.#####.#######...#.#.#.##.#...#.#
#.#.##..#.###..#....#.####.#.#.#####.##..#......#.#####..........#.#...#...###.#..#.#.#####....#####.#.######.##.#.##.##.#####..#..#..#.#.##.#.#....#....#.#.###.#.##....#..###.###.#........###.##..###.####...#.##.#.#.##..##...#....###.#.###.#.#.......###.#.####..#######.#...##.##..#####.#..####.###..#.###.#.######.#.....#.##.#.#.#...####.###.##......##....##....##.##.#######.#..##.##...##.###..#.#.......###.###.###.#######..#.##.##...#.######...#########.....##.#.####.##.....###..................##..###...............##.##.##.###.###.##.#.....#...###.##....###..#..##..####.###.#..####...##.....##..##.#.#.............###..#.......########...###....##.#.##..#..###.......#.#.........#.#.###.#.#.#.#########..###........##..##.##.#....#.#.######.##.......##.####.####.#.#..##.....##..###.########.##..######...###.##.##.........#.##..##.#.####.#.#.##.##.##.##...##.#.................######..##..##.##.#####.##.####....#.##......##.#....###.#..######.##.#...##.##.....#.......#.#............#...#
#.#.###.#...######.##..#####.#.##.....#.##.##.#.......##.###.##.##.#.#.##.##...#.##.#.#.....##.##....#....##...#.#.####..##.######.##...#..#.####.#.#.#.####...###..#.#.###..##.#...##.#.#####.###..##......##.##....#.#..##....###.##.##..###...#.#.#######.###....##...###.############..##...##..##..##..##.#..........###.#####.##.#####.#..##########.###.####.###..#.######.......#.##.#######..#..##.####.###.###....##......#..#.##...##..#.###......###...#...#####.#.#.....#.#.##.#.#.#...#.#.#.#.#.##.#######...##.###.##.#######...#..#...#..........#.#.#.#......#.#######.#.####....#...####....##.####.#.#######.#.#.###########.#.#####.####......#.###...#.####.....##############.####.###.###.#.#...#.#.###.......#.##########.#.####..#..#.#.#########...###..#####.##....#..#######.###.#.#####..#.......##...##...#.######...##..##.#.#.######..#####....###.######...#.##.######.##.##.##.##.###...##.##....##........##..###..##.###....##.#....###########..##.....#.#.####..##.####.##.#.#####.##.##.##.##.#.#
###...#.#.#####.#...##..#.#..#######.####..##.#.###.#..###...#...###.###...#.#.#.##.###.#.#.##..#.#.##.#.#######.#....##.#.........##.#...##..##..#.#.#....#.#.##..##.#...########.#####..##.....#.##..#.##.##..##.#.###.##..#.##...##..##..##.#.#.#......##.####.#.#..#............###...#####..##..##..##..###.##.#.#####...#####.##.....####....#.....#######.#####..##.#.##.##.###.#####.#.##.##.###.##.#......#...###.###.####...##....#.##.##...##.#.#...#.#...###.########.##...#..#.#######.#.#.#.#.#..#.....##..####.##..##.##.#..##.#####.#.##.###.##.#########.##.##..###..#.#....##.#####..##..#######.#######.##.#####..........##......##...##.#.####.###.#########.#####..##...##.####.....##...#.#####.#.#..###.##.#...##...#########..##.######..##.#.#...######..######..#####......#####..#.....####.##########.##.###......##.##..##..#.#....###.###....##..######.#..#.###....##...##..#.##..#...###.......##....###.#.#########..#.....#.###.#.#####.......###.##.#.###.#....#.###.##.#########.....#.##..########
##..#.#.#.##......#..####.######.##.....#.###.#.#########..#.#.#.##..####.######.##.#...#.#..##.#.#.#..#.......#.#.#########.#.##.###.##.####..##.###.#.#.####.#..###.######.#.#.#.##....###.#########.#.##..##.####.##...####..###..#.##..##..#.###.##.#..#.#.#######.##.#.##.######.##.##..######.####..#.##...##.#.....###.....########..#.##.#...#.#.......#.#...##..#.......#...#...#.#......####....####.##.##.#..##.##.....##.##..##.#..#.##.#..#.#.##.##.#.#..........##...##.########.#....#.#.#.#.#.###.#####.##.....##.##......##.....##.#.##..#########.###.####..#.##.#.#####.#.##.....##..##...#.....#.#...#..#...#####.#.####.##.##.#####.###.#........####.##..##..#.#..###.###.....#####..########.####.#.##....#######..#......#.##.##......###........#......##.....#######.#####.##.#.####.#.#.......##.#...##..#.##..##.###...##..##.#.##.#...###.####..##...##.#.####...#.##..#.#..#.##..#.##.######.#.#.###.##..######..#.#.###...########..#.......#.##.##....###...#.#.##.#...#............####.##..##........#
#..##.###..###.#.###.####...........########..#.....###...####.#####.#.##.#...##.#..##.##.#.##..#.#.#.###.##.#.#.#..##..##...#.##...#.##...##.##..#...###...##.##...#............#.##.##.#....#..##.####.##.##....##.#..#...##.##...#####.###.######..#.##.......#.#.###..#..#.........#..##..........###.####.#.##.##.##...#.#.#..#....###....##########.##.#.....#..##.#.##.#.##.#.##.##...####....##.#..##..##..#.####..###.##..#.#####..##.#..###.##.#..#..#.#.##.##.#.##..##.##..#........##.###.#######..##..###..####.###..##.#.##.##.#.#..#.#.###.....##.#...#...##..##........#.#####..#.####.##..#...#.#.....#...##.###..####.#.#####..#.....###.#.#.##.#.#..#....##.##.##...##...#.#.#.###..###.####.#.#...####.###.#..####...#########.#...#.#.##...#.##.#.####.#####..###.............#.##.#..#######.###.#......#.#####.##.#####.#.#####.#..#.##.###..##.##...##..#........##.#########.##.#..##.###......########.#..##.#.#.##.##.#.#.#.###....#.####.#.###.#########.##...#.###..#.#.###.#.#####.##.#....#####..##.###.#
##..###...##...#...###..##.##.#####.####.#.##.##.##.#.##.##.#####......##...#..####.####..#..##.#.#.#...#..########....##..#.#..##.##..#.#.##..##.#.#...#.#..#..##.##.#.#.#.######.##.#....##...##...##...###..##..####.###.##.###.##.......###.#....##.##.#.#.#.......##.#.###.#.#.##.#.##..##.#.#.###......###.##.##..#.#.#.#.####.##...##.#........##..##.#######.##..#.#..#.##.#.#######.#.###############..#.##...###.#....#.##..#####.##.##.#########.#.####..#.####.###.##..##...#.###.##..##......########...##..##....##.##.###...#####.##.#...##.##......#...#.###..#.#.######.########..#.#.###.##.##.#.#.#######......##.####.#.##..##.#.#.###.##########.##.####........#....###.#.###.##..##..........#...##..##.##..#.##.######..#....#.#.#..##.#####.#....#.....##.##..##.#.#.##.######...##.##.##...#.##.#.#.#.....#..#....##.###..##.#.##.##.##..###..###.#####.#.#.####..##.#.######..#.##....##.#.#...#....#.####..........#...........####....#.#..#####..#.#.#..##.##...#.##.#..##.#.....#..######...##..#######.#
##.##...#..############....####.##..........#.#..####.#......##.###.#.####.######.###.###.##.##.###.#.####.....###..##..##.#.#.###..##.#.#..#######.#.#.#.#.##.##..##.###.#...##########.######....###..#...##.###..#.#...#..#...#.####.#.#.###...##..###..###.##.#.#.###.###.##############.####.#...###.#.##....#.#..####.#.#.......######.######.#..#.##......###########.####..#.#.#..##........##......##.##..###..######.########..##..#.##........##.#.#..##.#...##...#.##.##..#.#...#..##..##.#####.###.##########..#.###.##...###.##.########.##...##.#.#########.####.#...##.#.#.#..######.###.#..#.####.#.........####.....##.....##..###.#.#....#.##.#.#####.#.###.##.#.##.##........##....####.####.#.##.############...#....#..##.#.###########......#.###.###.#.#######..##############..#....##..#.#.######.###.#.#.##...####...#..#####.##.#...##.#.##..##.....#####.#..##...........##.#..##.###..#.#.#...####..###.######.#...###.#.#.#......######.##.#.#.##...##.##.#..######.#.###.##.#####..#.###.#.##.##.....#.#
#..##.#.#.########.#....##.#.......#.#.##.#.#.##..##....##.###......#.#.#....##...###......###..#...#....#.#.###.##..#.##..#.#...#.#####.##.##.#.#..#.#.###.#...##..#.##..###......##......##...##...#.##.####..##.##.#.#.#.###.##..##..###.#...#..##...##..###########.#......#.#.#.##...####....#.#.##..#.##.#.#####....#.#.#.###.######.#......##########.#####..#.#..###...##.##.....##..###.#.###.######..#..##...##.#.............####.#.##.#.#######.#...#####.#..##.##.##..####.##.##.####.#.....................##.#.#.####.#####.....##.##...##.#.#..#..#.###.#...##..#.#....#.#.#.##.##.......##.#...#####.#.##.#....##.##....#.#..##.##..#...##.........##.#.......####..#..#.#.#.##..#.####.#..######..#..........##..#.#.####.##..............##.########...##.####.#.###............#...###.#..#.####......#####.#.#..##.####..#...##...#.##.##.##.......####.#.###......#####.###.########.###...##.###.#.#..##..##.###...####.#...#.###.##.#.###....###......##.#######.##......###...#.#....####.#...###.#.....##.####
##.####.#.#....#.#...##.##.######.##.####.#######.##.##.#....##.###.#...##.#####.##.#####.###..##.#.#.####.#..##....##..##.####.##.##....##......##.###...###.###..##..##..##.#.#.#####.####..#.##.######.##.#.##.....###.#...###..####..####.#.#.##..#..##..###.#.#....##.#.#..........###..####.###..##.#.####.#.##..##.###.#...#........#.#.##..#.##.#.##..####.##...##.##.##..##.#.#####...#.#........##..###..###.##...##.##########....#.##.#.#.###.####.##.#####.##..######...##..#.####....##.##.#.#.####.#.######..#...##.......#.#.#.....#.#..#.####.####.#.....#..##.###.##.............####.###.##.##..##.#..#.##################.##..#.####..##.###.##......###.#...########.#.#.###....###.##.....###.#.#.##.#.#.#..##...........####.###.#.#.#.....#.#.##.##..........##.#.#.####.#...#...######....#.######...###.#.##.......####....#####..#...##.#.##....######..##.#..#.##..##........#.#...#.##...#.#.#.###.###.##..#....#.#####.###..###.....#######.###.....#....#.#..#.########.####.#..##....#..#####.#####...##
####.##.###.##.....#..###########..#....#....##....#######.###..#...#.#.#...##..............##.#..#.#....####.##.##..##.#...##..##..##.#..##.#.###...##.###.....#.##..###.###.#####........#.##.##...##......#####.##...#.#.#...##...##.##....###.###.#.####.........#.#####.#.#.##.#.#..#..##.....##.###.###.......##..###...#.#.#.#.#.####.#..##.........##.........#.....#####.#..#.##.#..#########.#.##..##.##..######.##...........##.#.###..#.........##........#..##..##....#.##.##...#######...##########.#......#####.###.##.#.##.#.#.#####.#.#####....#.#...#.######....#####.####.#.#.#....###....#....###.##.#........##......#.####.##...##.#####...##.#.##.#####.#........###.#...##.#...#.########.#####.#########.#..#.##.##.#...############.###......#####.##.##.###..###....#.#.#.#.#..#.#...#.#######.##.####.#.##.#.#.#...##.##....###.##.##..#..#.#.#####.#####.##...##.####.#######.##.##.#..###.###.#.#.##...#.###.#.#...###...########.###..#......#.###...#######.#........#..#.#.#######.###..###......###..#
#........####..#.#.#.##...#.......##.#.##.########...##......#.####.#.#.###..##.##.##.#.#.######.##.##.####...####..##..##.####.##.###.#.###.#...##.##...####.#.#####.##....#....######.#.##.##.#..#.####.#.##.....##.###.#.#.#.##.#.##..##.#.##....#.#..##..#.##.#######.########..####.#.######.#####...##..##.#.##..########.#####.#....###.##..######.##..#.#.###.##.#####.#####.#....##...##...#######.###..##....##..##.#.##.##################.########.#.#.########.#####.##.##.##.###.....#.#..........#.##.#####.#.####..#..########.#######.#.#.##.#.....###..#...##.####.#######.#.#.##.#####.#.##.####.#..###.#.##.#....#.##....#.#..#.###......###..#####.....########.#####..##.#######.#.#.####.#.##.##.....#.#.####.###..##.#.#.#.##.##..#####...##.#..##.#.##############.#.##.#.###.##.....#####.#...........######.######.##...#.####...##.###.##.###....#...###..##.#..#..##........#..###..##...#.##.......##.##.#.#####.#...##.####....#.#.##.#.##########.#.......###.##.########.....##.####.#.##...#.#########
###.###.##....####.#.####.#####.#..###..#...##.....#.##.#.#.#####...#.#.#...##..##.#..#.#..##.....#.##....##.##....####.#....##..#...###.##..#.#.##..#.#....#.#...##...##.#.###.##.###..#..#..####.###....#.##.#.#.##.#####.###..#.#####..###.##.#.##.##.###.#..#...#.#....##.#.##.##........###.....##.#####.#..#.###.....###.....##.####.##...##..#.#######.#.#..##.##..........####.####..#..#.#...#.#.#.#.#.####.#####..#.#.##......#.#.##....##.......##..###....###.###..#...#..#..#.....##.#####.##.###.##.##............##.##...#.#.#.......##.....##.###.#...##...###...#.....#...#####..#.....#.#..#....#.##.##..#.##.#.#.####..####.####..##.#######..###.####.#......##....#.##..#......##................##.#.##....##....##..#.#.#.......#.##.#####.#####....#.........###..#.#..#.#...#.#..##.###.#....#.#.##.##..#.#.####.#.#####.##..########...#.#..##..####.###.#####.#.##.##..#.###.##.#########.##.##.##.##..#.#.....####.###.##......######..#.#...###.#..#.##.######...##....#.#####.#.........#.#..#.#......####
#...#...##.##..##..###......#...##...#.####..##.#.####..#.#.#.#.#.#.###.#.#..##.#####.#.##.##.#.#.#.#..####...##.#...##.##.###..###.##....#.##.#####.####.#.###.#..#.#..###...###......#####.##.....##.##.#.##.#.#..#...##...##.##...#.#####..#..###..#...##.#.##.#.....##.......#.######.##.#.#.#.####.#.....#.####...###...#.#.#..#....#####.####......##...#.#.######.##########.##....##.##...###.....#.....##......###.#.#.##.#.##.#.#....#.#####.#.#..##...####......###.#.#.#####.#.#.#..#..##....#...######..#.#.###.##..###..#.....##.#.#######.###....#####.##.#######...###...#....##.##.##.#####.####....#..##.###..#.#....#.##.##.####.###.......##.......#####.#.#..####....####.##.####.#.###.#.####.#.##########....##..#.##.#.##.##.#.........##...##..#.########.#.....##.#.###########.##.....#.######..#..##..............##...##........##.#####..##............#.######..#.##...#.##.#......##..###...#..##.....###..#.#############..##.###.#.#.###.....##.##.##.#.######.##...#.##..#.#.#.#.#.####.###.#.##....#
#.#.#.#..#.##.####...##.###...#.##.######...###.#.#.###.#.###.....#..##.###.###...##..#.##..###.#.####....##.###.#.#..#.##.##..##....###.##.##.##.#...#.#.###...#.##.#.##...###...#.#.##...#..####.###.##.#.#..#.#.##.#####.########.....##..###...##.##.##..#.##.##.#####.####.####.#.##.##...#.#..#.######.##...##.#...#.###.#.#.##.##..##......###.#####.#.###......#..###...##..##.#.##...#.#...##.##############.###...#.#.##.####.....##.#....##.###.####.#####.#.##.....#.#.....#.#####.##.#####.##.#.##.################...####.###.##.#......##.####.####..#.##......##.#.##..#.##.#..######....##.....##.###.##....#.####.##.#..........#.##..#.###.##.#.#.#.#.##..#.#.########..######....#.#...#.#....#####....##....#.####.########...###.#.#.#.#####.###.##......######.#.##..#......##.#####..#.#........##.#.###.##############..#####.###.#..###..###.###.##.#.######......#.##.##.###..#...#.##..##.##..#.#####.##.###..##.##.....##.######...#..........#.##########.#.#.##.#..#.###..##.#.#.#.######....####..#.#.##
#######.##.#...##..##########.#######.#.##.###..#....##.#..##.#.#.##..#.#...##..#.###.#.#..##...#.##.#.#.##..##..#.#.##.#...##.####.##....#.##.##...#...#...##.##..#.#.#..#..####.#.#....#######...##..##.#.##.#.#.##....##.......##########.#...###..##..##.#.##.##..##.######.#.##....#.##.#.#.#.##.##.....##.###..#.#######.#.#..#####.###.#.#..##...##..#...#.##.####.....###..##..#.###.##.#.#..#...#.#.....#.#....#.#.#.#..#....##.#####.#.#.##...##...##.....###.##.##.####.#.###....##..#..##...####............##.##.#..#.###....###..#.#.#.##....##......####..#.#.##..#####.#..########..##########.##....#####.#####.....#.#.##########.##.##...###..###.#....##.#.#.#......##......###.##.#.#.#.#######.#..########.#..#.#......##..#...##########..###.#.###.###....#.#######.##.#.#.....#..##.#.####.########...#.###..........######....##.##.##..##....##..#.#......#.######..#.#....#.###.##.##.##...####...##...#...##.##..##.####..#.###..#...#.###.#.#####.##.###.........######...#####.###......##.#....##.#.####
###......#.#####..##.#....###............###...##.#.##..##.#..#.#..#.#####.####.#..#######..#.#.#.#....#.###..#.##.#..#.##.###.#.##.####.####...###.#.###.#.##.##.##.####.##..##..###.##....##...#..#######.##.#.#..##.#.##.##.##.....####...##.########.#####..#..##....##...#......#.##..#####.#.....#.#.#..#...####...##..###.##...#.#...#.###.##..#..##.##.##..#....#.#.#.....##..####...##.#.######.....#.#...###.######.#.##.##..#.....#.#.#..#.#####.##..#.#...#.#...#....###..##.#.##..######.#...####.###.######.....##.#...#.#.##...##.#.#####.#.##.####.#.##.########..#.#..##..#..##.#.##.##.##.######.####.##...##..#.###.#.#####..#########.#..###...###.#.##..#.#...##.#.##.###.#######.#.###......#....####......#.##...#.#.##..####..#.#.#.#.#.####.#...#..##.##.....##.##.##.#.##.##...##..#....#...#.#.###.##.....####.#.#.###..#.##..###...##..#.#.###.####.######....#.######.#.####...#######..#...##.#####.##.#.#...#.##.....##.......###.##..######.##.......##.######.##.##..#.....#..###.########.#######....#
#...###.##.##....##....##.....#####.##.#...#.#.#..#.#####..#.##.##.#...##..#....#.##.###.#.##.#.#.#.#.####.#.#####.#.##.####......#..##....###.###..#...###.##..#.##.#..#.##.####...#.#..##..###.##......##..#.#.##.##.###...#.#..##.##....#.#.......##...#.#####.####.#....########.#..##...#####.#.#######.###.####..#....###########...##########.##.#####..##.##.##.###.####.######.##.#.##.#.###.#####.####.#.##......##.#.##..##.#.#.#.#.####.#..#.##..##.#.#.###.#.###.##...#.##..#..##...#.#..###....#.###########.###########.#..###.##.#.....#.#.##....#...##........##.#.##..##...##..................####...########.#...###.....#.##..##.#.######...#...#.#####.#.#.#.#######...#.....#.###...#.#.####.##.#..##.#.#.######.#.#..##....##................#.###.##...#.###.....######..###..#..##.##.#######.#.#.####.##.#########.....##..##..####....##.#.##...##...#.#.#.####.....####.#.####..##.###.##.####...##...#######......######.##.#.##.#####...#.##....########.##.#.####.##.##.#.######.#.......##...##....####
###.#....###..##.############....##.##.##########.#...####.#.##.##.###..##.##.###.##..#.....#.#.#.#.#...##.#.#.#.###..#.#....#.#.########.##.#...##.#.#..##..#.##..####...##.##...######..#.##....##.#.#.#..##.###..##.##..#.####..#.##.#.##.##.#.##.##.#....######.#..#.##....#..##.#.#####....##.#...##.#....#.##...###.#.....#.#####.#...###.##....#.....##.##..#.##..##....###.#.#...###.####.........#....###.##.##.#.##.#.##.##..#.#####....####....#.##..#.#..####..##..###.#..##.#.#####...##.##..##.#...##...............##.###.####..###.##.######..####.#.##.#########....##.##.####.#######.#.#########.#.###...##.#######...###......##.....#.####.####.#.###.###.#.#...#.#.#.###.#.#....##.#####.......#...#######..#.#...#.#.####.#..###.###.#.#.######...#.###.##..####.#......##..###.#.###.#.....#.##........######.....####.#.########....##.#.##.###..#.##.#............#####.####....##......###..##...#.##.#.##..###.#.#####.##...###.......######..#.#.##....#.#..#....##..##.##.#.....##.##########.#..#.##..#.#
#...#.#.###..##..#.......#....##.##.#######.#.#...###....#.#.#..##.##..##..#...##..##.####.####.#####.#.##........##.#####.#.#.#...###....##...###..############..###.##.##..##.#..##....##.###.#..#.#.####.##...##..#####.#..#.#########..#.#..#.#...###.##........##.###..####.########.#..#.######.##....##.######.##..###.#.......###.#.....##.#.##.##.##...#.##.##.####.#.........#..##..##..#.#.#####.########...###.##.#.##.###.#.##.#####..##..#.##.##.##.##..##..####...#.#.#####....##.###...##..#.#.#....#######.#.#.#.....####....######..#.#..##....#####...#......##.######.............###.....#...........#..........#.#..#######..#.###.....####..#.#.......###.#.#.....#..######.#.#######...###.#.######..####...##.####....#.#.##.....#.#.#.....##.###.#...##.##.####.########..#######..##.##....#.##########.##.#####.##.###.##..##.#.########...##.#.#..#.#.##.#.#####.###...##.##..##.#######.#####.#..#.#....##...#...#.#.#..#...#.#.##.##.####.##.#######.#.##...##..##..#..#.##.####..###..#...####.#.#..##.#
###.#.#...##.##.##.##.##...#.#####............###...##.#.#.#.##..#..##..##.##.##..##.........##...##..###..#.#.####..##....###.#.#...##.#..##.##.##............##.....##.###..####..###.##..#...##.#.#.#....##.###..##.....##.........###.##.##.#.#.#..##.##.##.#.#.##...##.......#.#.#.#.######.###..###.#.##...##....##.###.#.#.#.####..#.#.#.#############.###..#.#...##..##.########.##..####.#.#.##.####.##.###.#..##.##.###....###.......##.###.##..#..#.##.##.####...##.#####...##..##.##.#####..#.######.##.......#.#####.#.#....####......##.....##..##.....###...#.##.#.......###.###.#########.#.###.###.#######.##.#.##.##.##.......##....###.####.#..##.#.#.#########.##.#.###....###.#..####.##.######.####.#.##..######.#..##.#.#.####.#.#.#.#.#.############.#..#......##...#.#.#####.#.#.###########.......##...#.......#...#####....#####.#.##.#.#.#.##.#.##.###..#.#...........#.....##..###...#.###.....#.####.#.####.##.#.#...#.###.#########...........###.##......#..##....##.########.##.#.##...#####..####....#
#...###.#.#..##.#..#..#..#.#.##..##.#####.#.#.##..#..#.#.#.####.##.##..##..#..###..###.###.#..#.#####...##.#.#....##..##.###...#.#.#..###.#####.....##.#.###.####.##.###...#.###.##...#####.##.##..######.#..#...#.####.##..#.#.#.#.###.#..########.####..##..#.#.####.#.##.##.####............#.#.#.##.###..#.#..##.###....#######....##.#.#.#..........###....##.####.##..###......###..##..##..#.#.....##.......#.##.##.##...##.#.##..#.#.#..#.#...##.#######...###.###.##......#.###..##..##....##.##...##...#####.#.##...##..#.#.##.##...##.###..###..##.##########.##########.#.#.#....##.........#.#..#....#..###..#.##.#..#.#####.#.#.#..#.##...#....#.#.#######...###.##...#.#..##.####.####..#.#.#####..##...........######....#####.#....###.###.###.###.#.#...##.#.##.#.####..###.#...#.#...#..##.......##.##.####.###.#######.#..##.#.##....##........########.##.#...####.#######################.###.###.#.#.#...####...##.####...#.....###.#.##.###.####.#.#..#.....##.#.#####.##.....##.###..........#.....########.###
###.##..#.##.##.#.###.##.#.#....###.#####.#.#..##.#.####.####...##..##.######.#.#.######...##.#.##....####.###.#.###.########.####.#.##.......##.##..#.####.....###....#.#.#......##.###..#.##..##.###....#.##.#####....###.#.#.###..##...####.........#.####.###....#.#.####.......#.##.##.####.#.###......##.##.#....##.#..#.#..##.#..#.#.#.#.#.##.###...##.###.....#.##.###..######.######..##.#.##.##....##########..#..##.##..#.#..##.#.#.######..#.....#####.....#.#..#.#.##.#...##..#.######.##.##.#.##.#....####.##.####.##.#.##.##.#..#...##..######.......##.####.#.###...###.###.##..#.##.#.#####...#.###.....#####.#.##...##..###########.####.#.....#.##.##.#.....##.###.##.##.......#.##......##...####.#.#.####......##.#.....#.##.#####.##...##.........###..#.####...#######...###...###.##..####.##..##..............###.#####....###.####.#.#.#..#.#...#.####.#..##......######.#.......##.#..##...#.#.#####...###.##....##.#.#.#.#..........#.#...##.####...##.#####.....#.##.#.#..#.#.#.#####.#####.####.##.##....#
#....##.###..#..#.#...####.##.#...#.....###.##.##.####...##.###..#.##....##.#.#...##.....#.##.#..##.#..##...##.###....##.......###.#.#..##.#.###.#..##.##.###.#..##.##.#.###.##.#.#..#...####..##....#.#.##..#...##..##.#...###...#.#####....######.####...##.####.#####...##.##.####.##..#.........##.#.#.#####..##.#.#..####...#####.######.#.#..#...#.#..######.##.#.#....##.........#.##..##..#..#..##.#.##.###...#.##.##..#..##.##.##.#.###.#.##.###.##....##.#.###.####.#..#.##.##..##....#########.######.##....#.##....#..#.#.##.##.#.##.#.###....#.#.###.#.............#.#..######.#######..#...#.#.#.###.###.#.####..#..#######.....###...#..#.#.##.##.......#####.######....#.##.##.##....#.##.###..####...#.#....##.#.#..#.#.#######....#.###..#.##.#.#.##.#######....###.........#...#.###....##.##.#########.####.#.##.###.#..##.#.########.#..#.#.####.#.###..##..##..#.#.#.##........#######....##..#.#.#..##...#...#.##.#.##..#.#.#.###.#.#.####...#..####.#.#..#....##.#######..####...........#.....#..#.#.....##.#.#
#.#.##...###.##.#######.##.##.##.###.##...#.##.#.....###.#......#######.##....#.#.###.####..######..#.##..#..#...#######.###.#...###.##..#.#...#.#.##......#####.##.##.#...####.#.##...#....##.##.#.####..##.#.#..##.##.###.##..#####.###.##.#.......#######....##.....###.#..#######.###.#.####.#.##..######....##..#.##...#..#..##.......##.#.#.###.#####..##.#######.##.###..#.#.###....##.###.#.##.##..#........#########.#########.##.#........#.##...##.#..###.......#####.########..#.##......###...#.##...#.#.#######.###.#.#..#.##.#.##.###...#.##.....#.#.#.#.#.###.###.##..##..........#.####...###.##...####..#.#####......##.##.##...####...#.##.##.#.#.####.##......###.####...#..###.##.####...###.########.#..#.#.##.#.#.......##.#.....#.##.##.#.#..#......#####...#.###.#.#.#.#...#.#.####......#.###.##....#.#..#.......##.....#...###.##.#.#.##......##.##..###.####.#..##.###.#.##.#.##.####..#########..#.##.#######.##.##.###..#########.##.###......#.#.##.#.###.####..##....##.###.#.#####.#.###.....##.#######
###..##.##...##.#...........#.#....#..#.#####..#.###...#.##.#.#...##.....####.###..##..####..#.#...##..##.##.#.#.......#.#...#.#...####.##.##.##.#.###.#.#...#.####.##.#.#.##.###.###.####.###.##.#...###..######.##.#..#....##..#......#.##.#.#.#.#...#######.####.##...#.##.......###.###....###..##......#.#.##..##.##.#...######.###.#..#.######......##..#..##..####....##.###...#.#.##....###.##..##.#.#.##.####.#.##.###.##.#....##.#.#.##.###..##.##..##.###.#.###...#.#.....##...##..##.##.##...#....#.#.###.......#...#.#.#.####..#..#...#.#.#.##.#.#####.#.#.#..##.###.###..##.#.###.#.#...##.#####....#....##....##.##.#.######.....#....##.##.####..#.#.......#.##.#...#...###.###...#.##...####......###.#.###.##.#..#.###.###.#.####.#.###.##.##.#############.#####.#...###.#####.#.......#..####.......###.#####.###.#.#.###.#.#...#.#.#..###.#....#.#.##...##.#....##..##......#.#......##.#.#..##.#.#..###.#..#..###.##..###...##.##.#.####.......##.###.###..#.#.##.......####.###....#.#.....#.#...#.#.####.#...###
##..##..####.##.#.##.####.#.#.#.#.##.##.....####...##.#######.##.######.###...#...####....##.#.##.####.#..#..#.##.#.#.#####.##.#.#..##...#.#..##.#.#...#####......#.##.#.#......###.#.#..#.#....#.#.#...##......###..#.##.#.##..##.###########.#.#.#.#.....##....##..#.#####..##.##..##.####.#.###.####.#.#.#.#..#######..#.###.##.#######.##......##.#.#####...###.##.#####.##...##.##.#.##.#.##....#######.#.##.#.#..#.#..##..#..###.#####.#.##..###.##..##.##...###...#.#...##.####..#..#.##..##..#####.#.####...##.###.##.###.#.#....##.##.#.#.#.#.#..###.....#######.##....#..##.##..#.#####.#.###......#.#.###########.....#.#..###########.#####..#.#..#.##.##.##.#.##############.....##.##.##.#..#.#.#.##........##..###.####.....#.#...##.#..########....##.###.........###.#####....##.##.#.####.####..#.#.#...####.##..##.###.....###.#####.#.########.####.##.###..#.#.###.####.#.#.#.#.#.##........##....#.##.###.###......#.##...#..#.......#.##.##.#..#..##..###########.##.#..##...##.####.#########.#.#.#....#...###.#
#..######....##.#.#..#....###.###.##..#.#.#...##.#..#...#.#...#..#.#....#...#.##.##....#.##.....#...##.##.#.##.##.#.#..##....#.###.##..#.#.#.##..#####.....#.#.#########.####.###.......####.#.##.#.#.#####.#.#..###.###..#.###.............##.#####.#########.#..##.#..#..##.######.......#####.###.##.#.###.##..##.....##......#.###...#.##.#.#.#####..##...###..........#..##.#####..#.##.#..##.#.......###.##.....##.#.####...##.#.....#.###..##.#####..###..#...##.##.##.######.#####.#####..##..##...#...##.###....#############.#..#..###.###.#.##..#########.#.#..##.##############.....#.#...##.##.##.#..........###.#######..##.#...#####...##.###.#######...#.#.......###....####.##..##.##.##.....####.##.#.#..##...#....##.#.##.#.#..#.##........##.#......#.##############..##.#..######.......#.####.#####.......#####.##..###..#####.##......#####.#######...####.#.#.#.#.####.###.#######.#.#.#######.#.....##...#.##.###..##.##.##.#.#.#.......######.####...##.###.##..#.##..###.##....#......##...#.########.#.....#
##....###.#.#####.#######..##..##..#.########.#..##.#.###.######.#.##.####.##.####..##.#..#.##.####.##.##.#.##..###.##..##.#.#.#....##.#.#.#..##...####.#.##.#...#.#...#...##...##.#.#.##.##.#.##.#.#..#.##.#.##.#....###.#.#...##.##.#.##.##..#.....####..##..####..##...##......##.#.#.#...##......##.#...#..##.###.##..##.##.##.#...#####..#.#...##..#####.....#.#.#.#.###.#....########..#.##..#.###.#...###..#####..#.#.##.#....#.###.#.####.....#.##.##...##.#.##..#..#....#.#.#.#.#.....##..#####.#.#.#.##...#.#.####..#...##.#.#####..##.###.###..##.#.........##..#..........##....#########.##..######.#.#.##.#...#####.#.##......#.......#..####........##.########.#.#...####....###.##..#####.##....#..######.##.###.#.##..###..#.#.##.##.#.#.##..#.###.##....#.....##..#.#.######..#.##..##.#.##...#####..#.#.#.#.....#####...##...##.....##.###.#.#..#.###..###....#...#.....##...#..#.##.###.#...#.#.#.#.#######.##.##...#.##..##..#.#.#.#.#.######.###....#.#.....#...##.#####.##...#.#.##.#.#.###.#.#.......######.#.#
##.####.###.#.#######.#.##..##..##.#......##..##.#..####..###......##.##....###.#..##..##.#.##.##....#.##.#.##.####.##.##..###.###.##..#.#.#.####.##....#.######.#...####.##..#.######.##.##.#.#######...##.#..####.###...###.#..#..###.##.##.######......####....##.##.#.##.##.#.#..###.##.###.###.##..#.#.#####.#.#.#..###.##.#....##########.#.#..##..##...##.########...#.###.##.#.#.###############.#.#...##.....##.#......####.#...#####....#.#....#..#.#..#.#.#..###.#.#.##.#.#...#.##.####.....#.#.#####..#.#.#..#.#.##.###.......###.##...#..###......#.#######..##.#.####.#..#.##......#..#####...#.####.###..#.####......##.#.####.#####.##..#.#.###.#.#####.#.######.#.####.####...#..##..##...##.########.#.#.##...###..##...####.#.#######.##########...#.##...######.##........####..##..#.#....###.#...##.#.###########...#..###....###.#####....#.##...##...##.#.#.#.#.#.#####.##.##......#.#.###.#.#.#.####.##..#.##.#.#..##..#.##.#.###.#...##.....########.#####.#..#.....#####.####.######...#.#.#.#####...#.######
#...##..#####.#.##.........##..#####.#.#.####.#..##....##.#...#.#.#######.###.....####.#..#.#..####.#######.#.....########..##.#....##.#.#.#.#....####.##....##....#...####..##..###.......#.#....##.#.###..####....##..#...####.##..##.##..#.#......#.#.##..##.####.##.###..##.####..##..#.......#######.#...##..#.#.####.#.##...####.#.#.########.##..#####..#.#.....########....#......#.#.#.#..##....####.###.###..#...#.##....#.###...######.###.#.#######.##.#.##...###.#........#.#..#.#....#####.#....##.##.#.##...#......####.####....##.###...##.#.#.#......########...##.######..#.####.####...###...##.####.#......#######.#...##.....#..##......######.###.......####.......#.###.#.##..####.##......##.....####.#..###.##.#....###....##........#.#.#.#.#.#..#......#....#########...##..##.##.#.....#.###############..###.#.#######...#...#...#.##....###..#.##.###.#.#.#...##..##..#.########................##.#####.######..#######..##.#.#....#.#........#...#.#.##.#.######..###.##...#..##.##.#.#....####........#
#.#####.#.##.....####.#.#.####....##.#.#########.#..####....#.#.#.##........###.#.##...#.#####..##....#.##..##.##.....##...###.#.#.##..#.#.#.##.#.#....##.#######.####...##.###.##...#.#######.####......##....##.#..##.#.#.#.....#######..##.##.#.#.#.#....##.....#.#....##.##..#.##..##.#.##.##....#..#.##.####...######.#..#.###..#.#.#.#...#.##.##.##.###.##.#.###......######...####.........###.##....#.#.....##...######.####..##.#...#.##...#.###.#..##..#.#..##.######.#.#.######.#####.#.....#####.###.##.###..#...######.#.....##.###....##.##..#.#.##.###.......##.###......###.#.......#.###.....#..#...##.#.#.#.##.#.#.####.###.##########.#.###..###.#.#.##.####.#..##.##.....#.#.##.##.....##.###....#.#..#.####...#.##.####.###.######.###.###.....#.####.#.######.#####......##.#########..#.#.#........###.#......##.#.####....##.####...#####..##..###.####.##..#.#.##.####.###..........###.#.#.##.#######....##.......#.##.......###.#.##.###.####.#.#.#.#......#######.#..##...######.##########.##...###.#######
#.##..#.#.######.#....#.#.##...##########.##.....##....#.####.#######.##.##.##..###..#.#.##..##..##.#....##.#...#.#.#.####.##..#.#..##.########.####.#..#.##...##..#####.##...#####.##..###..####...#.#.####.#.#####.##.#####.#.#.###...############.#.###.####.#######.###...##....#.##..#..#..#.####.##.##.#....#.##.......##.....##.......###..###...#.#...#......##.#.###....##.###.#.#.####.###...##.######.#.##..#......#....##.####.#...###.##...#.#.###.##.##.#...#.###.###....##..#.##..#.#.#....##...###....##.#######....#.#.####.#####.###..##.#.#.##..######.#..#..####.#.##.#.#.#.#.#....##.###.##.##.#####.###...........#.##......##..##.#.....##...#....#........########################.##...#.#.##.##......##.##.#.....#...#....##....#.#####.###..#.#.#..............######..........##.#.#######.#.##.#...######..#.###..#######.#..#.....##..#.##.####.#####.#.#.##.#.#...##.###.####...###.#.##.#######.#.####.#.#.##..#####.#...###.##...#....#####.#.#.####....##.#...####.##.##......##..##...###...###.#####
#.###.....#.##.#.###.##.#.#..#.........#..##.#.#.#..##.#####....###...#..##..##..#####.#####....###.#.##.##.#.#.###.###.....##.#.####...#.##....##...#.##....#..##.#...#########.##..##.....###...#.#.###....#.....#.#....##..#.#.....###.#.#........#...###......#.#.#...##.#####.##.###.##.#.##..#.#.#########.##..###.#.#..##.##....#.#.#.....######.#...#.##.##.########..#####.....#.#....#.#.#.#.##....#.#.#####.#.#.#.##.#.#####.#####.##.######.......#.#######.#.....#...#.######...##.##.###.#.##..#...#.#.##..........##.######......####...#######..##.....##########.#######...###.#.##.####...#..####....##...###.##.#.#.######.###....##..##.##....#...#######.#.#....##.#.###.#.##...##.#####.###.#..####.####..#..#.#.#.#.#.###.##.##.#.####.#.#...##...####.#.#########......##.#####.####.#.......#####....#....#.#.####.#.#####.#..############.#.........##....#.#.##.#.###.##...#....###...###.##.......###....#.###..##.#.....#.#..#####.###.#####.##.#.#..########....###..#.##.#..#.##....##..#..######.......#
#..####.#.#...........#.#.##.#.##.#.##.#.#####.####..###.....##...#.#.##.##.##..##.......##..##...###.#########...#...##.#.##..######.#....##.#..###.#.##.##.#.##....#####.#.#.#..#.##..#.#.##..#.#.#..#####.#.#.#######.####.###.#.#.......##.########.#######.#.....##.##....##...#...####.#..#.##.........##...##.##..#.#.##...###.#######.#####..##.#.#.#.#..##.....##.##.....#.#.###.##.#.###...#.##.#.##.....##..#######..#....##..###..........####.#.##.....###.#.###.#.###.##.#####..#.#....#.#####.##.##.#.###.#.#.#.#..#......##.#.###..#.#....#.###.###.##.#.#.#.##.#.#.##....#..##.#.##....##.######.#.#.##..#####..#.###.....##.##########..#..#.#.##.#.......#.#.#.####.............####.#.#.#..##.##.##.#.############.###.#..##..######........#.###..#...##.#.........##.######....##....#.#.#.######.##.##.#.##............#.......##.#.#####.#################.##.###....##..##.#.##.#..##.#.###.#..#.#.###...#.##...##..#.###.#.#.##.....#..##.#.#....###.##....##.#..##...##.#.##.#.###############...##.###.#####
#.##.##.#...#.###.#.#####.#..######.##......##.#....######.#.#..#.###.#..##.###.#..#.#.#..##.##.#.##.........###.##.#..#######......###.#.######.###.#..#..#.#..##.#..##.#.#.....########.####.##.####...##..#.#.##.##....##..##..###.#####..####..........##.####.#.#######.###..#.#.#..##..##.#....#.####.####.##...##.#.#..###.##....#.#.#.....##.######.#.#.####.##.......#######..##.##.#####.#.###..#..#.#.#####.......#.##.##....##.####.#.###....###.##.#.#.#...#...###..##.....#.########.######.##.##..#####...#.#.#.#.####.##..#.#.....#####.#....##...###........##......#.##.##.##.#.##.#.###........#.#..##.....#.##..###.#####......##.#####.######..#.#.###.#.#.#......##.#####.##..#.#.#.#.##..####....#...........##...###########.##..#.#.#.##...##.##.##..#.#.###.#.##..###.#.############.#.####.#.#...############.#.#.##.#######..........#............##...##...##.#####.##.#..#.##..###...#.##.###...########.###########.#.#.##.#.#.##..#.....##.###.#..#.##....##..####...##....###.##.##.##.#####..##....###
#.##....##.####...###..##.##.....######.#########.#.##.....#.#.##..#####.#....####.###.#.##...#.#..#.#.#######...#####..##.....#.#.##...#......###...#.###.#.#.######.#....#.########......#.#.##..#.#.#..##.###.....##.#########...#....###..#.##.#.##.#####.##.###......##...####.###.####.##.#.##.#.##.###.....##.#####.#.######..#.##...##.##......##...###.##.#.###.########.##..##...####..###...##.#.####...##..#.#######..##.##......##.#...#.######..#########.##.####.###.#.#.......##...#.##.#.######.##.##.#.#.###.#....####.##.#.#.#...##..##.#..#.#...##.##.##....#.#.#####.##.##.#..###...#.#.###.####.##..#.###..####.....##..#.####..#.###.#.#.#..##.#..#########.#.####....######.#........##....##.#.#.#.##.##.#.##.#...####.##....######.###..#.#...#####.#.#...#.#..##........##.##.#.##..#..........#.##.#..###..#####.......#..#.######.#...#.#.#.#.##..##.###.#.##.....#.##.####..##..##.#.#.#..#######.##.##.........##...###.##.#.#.#######.######.####.####.##..##..#.##.##..#.##.......#.#...#.##.##..#.##.#
#..######.....###...##.#..###.##...#.##....##.....#..##.##.###.##.##.....##.#.##.#.#...###..#.####.###.......#.#..###..###.##.##.#####.###.#.#.#...#.#...#.###..##......##........#.####.#...#.#..##.#.#.##..##..##.##....#.###.##.##.##...##...####.#.....#.......###.######.#####..##...##..#.#..#.###...#####.###.##....#......#.##....#########.#.##..#..##.#.....##..........##.###.#......####.#..#.#...##.#..##.#....#.######.#####.#..#.#.###.#....##......##...##....###.#.######.#.##..#....#.#......#....##.#.#######.######..##.#.#.##.####..#.##.#.#.####.##..#.#.####...#.#..#.##.##..###.##.#...#..##..###.#..##.###.#.#.#.#..##..#.#.##.#.#.....##..####...#.#.#.#.#....##.#...##.....#.##.#..#.#.#######.####.##.#..#.#.###..#.##.####.#.##...##.###.#.##.####.#####.####..#.#.##..........#.##.#.#.#.######....##.#.###.##.#.#####.##......####.####.#.#..##..###...#####.####.##....##..#.#######.##......##.....##.#.#.#####.#.##...#.###......##.....#...##..##.#..#.######.#...##.####.#######.#.###.#.....##....#
####.#####.#.###..#....##...###..#....##.#.####.#.####..#..##...########.##.#.##...###.#...##.#....##..#.#.######...##...#######....##.##..#######.#.##.##.###.####.##.####.#.#.#....###.##.#####..#.###..##..##.####..#.##.........####.###..###....##.#.##.#####..##...#.##.....#.###.#.##.##.#.##.....#..##...##...####.#.#.####.#..##.........#.#..#.###..####.##..#.#.##.##.##..#.###.####....#.#.##.#.#.####.#####.####....##......#.#.##.#...#...####..#.#.####.##..#.####.....####.#..##.#.##.....######.#####.#.....##...#...##.##.#.#..#...###.#.##.#.#....#.#..####.#.##.#...##.#..#..##...####.##.###..##.#...########..#.#.#.#.####..........#.#####..####..###.....####.#..#.###..###.#.######.##.#.....######.####.#.####.....##.##..##.....#####...##.#....#.#......#.#####.###.##.#####.###########.#.....##.####.........#.#...###....##.#...##.#.######.####.##..#...##....#####.########..#..##..##.##.#....#.#..#.#.#.....#.#####.##...#.###.#######...#..##......#####.##..#.####..#.#.#.#.#.#.#...#.#.########.##
#..........###...###.###..###...#######..#.#..#.#..##..###.###.##........#..#.#..#.#...#.#..######.##.####....#.#.#..#.###.......#.##...#####.##...#.##..#...#...##.##...##.#####.##...#.##...#.##....##.###.##.....####..###.###.#..#.#.##########.##..#......###.##..#....#.#####...#.#.##.##.#..#.##.##.###.#..#.#.##...#.#...##.#.###.#.#.#####.####.#.#.##....##.####.####...##....##..###.#.##.#.##.###...##....##..##..#########.#########.###.#...##.##.#....#####.#....###.#....####.####..###.#.....#####....#.###.##.#...#######.#.#.######.###.##.#.#.#######...##....#.###.#######.##..#....###..#.##..###.#..##.##.#.##.###.#..##..#.##.#.#.#.....##....##.....#.#....#.#.##..###...#.#......#.##.#.#.###.##.#.##.###...##.#.#.....#.##..###.....#.#..###.##...###.####....####...##.....#...#.#.....#.#.######.#....#######.#.#.#.....########.##.........#....#####.#.#####.#...##....##.####...####.#...#.#.#########.###.#.#.###...#..#.###.###.##...###.##.##..##.#..##.#..##.#.#....##.#...........#...........##..#
#.###.#.##.#####.#.....####...#.......##.#...####.####.##...##..#.#.###.##.####.####.#.###.##.......#..##..##...#.#.##...###.##.##.####..##....###.####.##.####.##...##.##.....##..########.#...##.#.##....#..#.#.#....####...#...##.#.#...###..##...#####.#.###.#..#.##.####.....#.#.#.#.##..#.#.#####..#.#.###.##.#..##.#####.#####.#.###.#.##########.#....##.#.##.####..####.###.########.###.##.#.#....##.###.######....###.#.###....#....##..##.##.##########.####...#.##...#############....###..#.#.###.#.##.#.#...######.#..#.##.#.###....#.#.##..##.#.#...#.#.#####..##.####.......##..##.#.##...##....##...###.##........###...##..##.########.#.#.#######..##.#.##.#.##########..##.###.#.########..###......#.......###.###.####.##......##########.##.#...##.###......##.#...###.###.##.##.#.....##.######..##....##.......#######.#.#.......##..#.#.########.#..#.######...#.###.##.##..#...####...##.##.##.#.###.#.######..#.#.##..#...##.##....#....###.########..###.###.##.#......##......#######.#.##.#####.#.######
###...######.#.#.##.##..##..###.#.########.###.#..#.#...###.#####.####..##.#.##....###.##...##.##.#.#.####..##.####..#.####..##.##...##.#####.##....##...#....#..##.##..###.#.####..#...##..#.#.#..#.##.#.###.#.#.#.####....###.#.##...#.#.....####.##.....#.....#.##.##....##.#.########.#..####...#.######.###..#.##.##.#........##.....###..........####.#.##.#.##..#.##....#...#............#..######.#.##.##......##.#####......##.#...#.##..###.##......##.##.#..#####..#.#....#####.#..####...##.#.#........###.#.####...#.##....#.####..##.#....#.###.###.#...#.############.###.#####..##..#.#..############.###.##.##.#.######.##..##.......#######....##########.#######.......##.##...###........##...#.##.#...#.###...###....######.##.#.........#######.#.#...####.#######.###.###....#.##.###.#######...##....##..##.#.#####....#.#.#############.###.#.#..#.##........#.#.....###...##...#....#.#..#.#..##.#............##.###..#.###.##...#.#.##.##......#.##..##.##...........#.##..##.###.......###..#.....########.#
#######..........##..#.####.##..#.......##.....##...#####...#.....##...###.#....#.###...###..###..#.#...##.###..##..##..#.##.##.##.###..##....###.#.##.#.##.#.##.##..##..##.#..#.#.##.####.##.#.#.##..#.#...###.#.#.##...######.#.##.#####.#.#...####..##.##.##.##..#######.####......###.##...##.#.....#.##...#.##..#..###.#.#.#.##..######..####.#.#..##..####.#####....##.########.###.#.#####.####....#..#..###.####........###.######.##..##...###..######..##.#.###....####.##.....#.#.##....#..###.#.##.###.#####......#.#..#.##......##..#...####...#.##..#.#..........#.##...##.....##.#..#####..##.###....#.#....#..#.#...#.##..##..##.##.###.##.###.#........###.....#.##.#########..###...##.#.#..##.#######.#.###...#...##.#..###.#.##.##.#.##.#......####.#.#...##...#.##.......##.#.##..####......#.##.##..#.######..#.......######...........#.#####.#.#.#####.##.##.######.#...##.####.##.######.####.##..#.##.#.#######....####.##...###.#.#..#.##.##.#.#....##...##.#.#.#.##.#..##.##...##.##.#####.####.####.#.##..#
#..#....#.#.#.#.###.#####....##.#.#.#######.#.###.#.###.##.##.##.##..#.#...###.##.##..#.###.##...##.#.#.##.##..####..##...####..##..##.####.#..#..#..#.#.##.###...##.##.#####.##.........#.####.###..####.###...#.###..#.#......#.##.....#.###.#..##..##...#..#..#####.##.###.###.#.#...###..#..#.#.#.#......#.#..##.##.#...#.#.#.###......##....#.#.##..##.##...##..##.#######...#.#...#.#.....####.####.#.##.##....#.#.##.#.#######..#.#####.##.######........##......####...##..###.#......##.#.##...#.#..#...#.....##.#.#.#.#.######.#######.#.#..###.###.#..##.#.##.####.##....#.###.#.##..#.##.##..###.....#########...####.#....####..###.##.##.......#.#.##.#.#...#####..............##...##.##..#.#######.#...#.#######.#####..##..#..#..######..#.##.#.#....#.###.######....##.######..########.###.####.#.....##.....#####.#.#.#.####...#.#########..##.#.........#######...#.#..#.#.##...##.#......##....#..#.##.##.#.......#.##....#..#.#.##################...##..#.#.##.#.#.#..#.#.###..##.###..#.....#....#...........##
##...#.##.###.#.#.....#.###.##..#.#......##.###...###....###########.####.##...##..##.#...###..#.#..#.#.##.###..##..##..#....#.####..#.#....##...#######.#....##.###..#.....######.#.#.#.#....####..#######...#.#...##.#.#.##.#.#.###.####...#.##.###.#..#.##.#.###.#......#....###.###############.#####.#.##.##.####..#.#.#.#.#..#####.###..#.###########.####....##..........#...#.#.####.##..#.#.#.##.########.#...#.#..#.......##......##.##......##.#.#.#..##.#.#.###..#..#.###..#.##.######.##.#.#.#.##.#.##.#####.#.###.#.#.#.##....##...#.##...#...#.##..#.#.##....####.######.#####..##.....##..#..#.#....###....###..#.####....##...###.....#.#######.##.#.###....##.#.#.#############..#.########.#.#....###.......#.....######...###.##.###.####..######.#.#........#.##.#...##.#######.#....#####......##.##..#.#...#######.#....#####..##.#.#.#.##....##########..#.#.###.#.##.#..##.#####.######..#.##.####...#.#.##.######..##.##.###.....##.#..##.##..#.#########.##.#.###.####.#.#######.######.###.##.#.#.##.##.#..#
###.##.##.##..#####.#...##...##.#.#.######...####.##..##....##.........##.###.###.#####.#...####.#.####.##.#.#.####..##.#.####..##..##.##.#.####......##.###.#####...##.##.####.##.#.###.#.####..##...#...###.####.##..#####..#.#...#.####.###.##.#...##.#.##.####....#.##...######..##.#......##.......#.#.##..#....##.#####.#.##....######.####.........#.#.#..#.####.####.#.##.#.###..#.#####.......##...#.#.#..##.##.##.#.#.#.#####.######.##.#.##..#####.#.##..#.#.#...##.##...##.#..#..#.#####..#####..#.#..#.....#.#...#.#......#.#.####.####..#######..##.###..#.##.........###...#######.#.#..##...##.#.####.##.#...#.#########.##..#..###.####..#...##.######...#.##..#.#...#.#.####.##.##....#.##......##...###############.#.###.####......###.###....#####.##.###.###..#####.....####.#.#.####...##.###..#..#.##.#.#...##.####.##.....##...........#.##......###.##.#.#####.##########.##.........##.####....##.##.#.####....##..###..##..#.#......###....##.#######....#.#..##.#.##......#.##.###.##...####.###.##..#.####
##...###..##.###....#.######.##.#.#.#.######....#.#######.#..####.#.##.#...##.##...##...#.#.##...#..##..#..#.#...##.##..#...#######.##.####.#....####..#.##...#.##.#..#..###.......#...###....##..#.#...###.#..##...#.##.....##.##.##....#...####.###..###..#.##...#.####..#......##......##.#..###.#.###.#.##.#######..##....###..##.#.#..#....#.###.#.#####...####.#.....###..###..###.......#####.###..#.....##.##.#######.#.#.##.#.......#.##.#.#..###.########.###.##.######.#.#..#####.......##.....####.#.##.#####.#.#.#.#.##.#.#.#...##....##......##.##..##..#####.##.##.#.....#.#.#.#.###.##..##.##..#.......####.##.#.#.....#..##.####......##...####...#.#########.##.#.#...#.......#########..##.###..########...............##..##..#.#.####..#..##...##..##.##....##..##...#.#...............#......#####.######.#.#.......#..#.#.#####.####.#.###..###.####.#.##....##.#.##.##....#####.#.#.#.##.....#.##.#...###......##..##..###..#.##.#.##.#.....#####...##..##.###.#.###....#.#.##...........#.#....#..##..##.#....#
#..#.##..##..#...##.#.....##.##.###.......##.#.##.#.......##.##.#.####.##.##..#..#.###.##.######.#.####.##...#.#.##.###.#.#.....#.#.##.#....####...#######..#....#.#####...##.##.#.#.#.####.#....####.#..##.##..#.#.#####.##..####.##.#.##.#....#.##..####.##....#####..##.###########.#.##..#.##...#...######......###..##.#...##.#......##.####..####.....###....#.#.###..###.###.##.####.##...###...#############........#.#.#......####.##########........###.#.###.##.#.##...####...##..#.#####..#.#.###..#..#....####.###.#.##.#####.#####.#.#..###.#######..##.....#..#..#.##.####.........###..##..##########.##...........###.####.....###.####..####.###.......#.#.####.#.#.#...#.#########.#.#.##....##..........#.#.#.##.######..###.##.#.##.##.####..#.##.##...###.########.##.##.#.##.####.#.##.#.#.###.####..###############.##.#.....#....#####...######..#......####..........#####.##.###.#.##.#.#.###..##.######.##.#######..###.###..#.#..##.##.....###....###.#####.#.###.##.#.##.#.#.##.####.###.##.##..###.#.#.##
#.##.#..#######.##..##.#.##...#...#.#.########.####.###.####.......##..#..##.###.###.###...##....#..#.#.#..#.#.####...###.#.#####....###.##.#....#...##..##.##.###..##.#.#.##.#..#.#.#.#..#.#.##....#.##.....##.###...##..#..##.....#.#.####.#.##..##.#.....#.#####.##.##............#######.#..#.#.#.#.##.##..##.#..##.###.##.##..##.##.##....##.##.###.#.##...#.##.....##.#.###.###.....#.##.###.#.#####.####.#.####.##.#.#.#.#.#.##...####.#....##..#.#.####...#...#.#....##.#..##..#..##.#....#####.#...####.###.###.##...#.#.#....##..##.#######.###.....#.##.##.#.###.##.####...###.####.#.###..####..#.#.#.#.###..##.###.#.####..###.#.#.#......##........##.#.##........#.#.###.#####.#.#.##......##.#####.##.#.##.##.###.##......##.#.####.#..........######..##.#...#...###.#...#.######.....#.#..###.#........##....#.#.#...##.#############.#.##.##.###......##.#########.##.#.##.####...##.###.#..#.########.#.......####.#.#...##...#.####.####.##..###.#######.###....##......#..#.#.##.###..#..###...#..#..####.###.####
#..#.##.#..#.....##.#..#..##.###.##.#.....##....##..#...#....#.##.#######..#.#...##......#.##.##.##.#...##.###....###.##..#...######.#...#..#.#.##.#....##..##...##....###..#.##.###.#...####..#.##.#.##.#.#..#..##.#.##.###..##.#.##.#..#########.##.###.#.#..........###.###.##.##......##.#.##.#####.....##..#.##..####..##..##.#...#####.#..#......#.#..#.#.#..#.#.###.....##..###.#.####......#...#...........##...###.###.#.#..#.#...#....####..##.###.##.##########.####.##.##.#####..#.##....####.#....#...###.#..#######.#.#.####.....##.#.#...#######.#..##.#...#..#.#..###...#....#.#...##...###...........##.##...#####..##...###.#####.#.##..#.#.###############.#.#.#.###..#.#.........##.###....#.###..###...#..##.##.##.#.##......#.#.#.##.#.#......####..##.##.#.....###.#...#.#####.###########.####.###..##.......#..............#.#####...#.#...#######.##.#.......#.###.......###....###.##.##.....####.####....#.....#####.##...##...##.##.####.......###.##.#..##.##.##.####.#...##.###...########.##.##..##....#
#.####..##.###.###..##.##.#...##.##.##.######.#..#####.###.#.####.#.#.....#####.##..###.##..###...####.###..##.##########.#.#....##########.#.#.#..##.#####.###.###############..##..#.#.###############.#######.##.#.#...###.##.#.##.##.....##.########..###.#.####.#.#.#...###...###########.#####.#..#.###..#####.###.#.##..##..###....#####...##.############.##.#..###.##....##.#.###.###.#.#####...##.##.##.####.##....##.###.##.###...##...##.###.....#...#.###.##...##..##.##.#.##..##.##.##.#.####.##.###..#....#####.####.#..##..#.#......#.#...##....##.##.#.###.##...###..###.#.####.###..#...##.##.#.#.#..#.##.#....##.#########.#.....#..##.#####.##.#.##.#########.#...##.....##.##.#######..####.####...#.#######.##.##.#####.#########..#.#.###.##....##.#..#####.##.#...#.#.......###.#.#.#...#..##......##..#.########.##.####.###.....###.....###.###...#....#.##.##...##.#.##..####.##...##....#####.....##..#######.####....##.###.###..##....##.##.#..##.##.##..#.##.##.#..###.#..##########.#.#.###.....####.#.#
#.#....###.##....##.#...#.#.#..###...#.....##.#.##.....#...#.##...#.#.###....##.##.##....##..##.###....#...##....##.###.###.#.####..##.##.#.#.#.##..#..##.#.#........###.###..########.#..#...#.#.####.#.....##...#.#####.#.#.#..#..#.####.###.....##....##...#..###.#...#.#...#.#......##.#####.##....##...##.....#.##.....##.###..##.##...#.###.#####.#....##...##.#.##.#..#.##.......##..####...####.###.##..#...##..###.##..##...#...##.##..#.##...#.#.#...#.......##.#####..#.#.....#.#####...#......#.#....####.##.##.....##..#.##..##.#.#.######.#..##.###..##.#...###..###.##..######.##...#.###.##...#.#.###.####..##.#......####..#####.#.##.##..#.#..............##.####.####.#.#..#.##..#.#..#.##......#########.#..#######....##..###.#.#######..######.####.##.....#.######.#.#.#.#.#...........###.##..#.#.####.#.....##.###..######.##.####...#.#.....#.##.##.######...########.#####.######.####.#.....#.#.#..##.###..##..#.######..#.#####.##..#.##...#.#.##...#.##.##..#.#....##...##..#.#.###........###.##.##...#.#
######.##.....#.#####.#.######...##.###.##.##.####.###.#.#.#.##.#...###...#####.##..##.#..##..#..####.##.#.###.#..#...#.##..###..##.........#######.##....#.##.#.###...#.....##........##...#.......#..#.#.#..##.##..#.####.####.#.####........##.##..##.####.##...###.#.#.#.########.#...........##.#.##.###..###.#..##.#.##....##.#...##.##.....#.##....#.#####.####....#.##.###.#.##..#.##.###.##.##...####.###.####.##...##.##.#####..#..#.######.######.#.#.##.#.##...##...#####.#.#####.##.###.#.######.##.......#....#.#..#.##.##.##..###..#..##.##....####.##.#.#...##......####.#.##..#.###.##...##.##.#...#....####..#.######....###....#.######.....#.##.#.#.#.#....#.##....############...##......#.####.##.##...#.####.#...######.............##......#..#.#.###.#.##..##.####.#.###.##.###.##.#..##..##.#.###.##.#.#.#......##............#.##.######.###............#####....##..........#.##..##..##.#########.##.....####........##.......#..##.#..##.##.#....#.#.##..##.####.###..#..##.........####.#.#.#.#######.###
#.......##.#.##...##..#.##.....#.##.##..#####....####..#.#.#.#..#.#..##.#...##..###.##.#.####.#.##....##.#.#...##.#.###.###.....##..#.#.#.#......##.##.#.##..###.##..#...##.##..#.#.##..##.##.###.#...##.###.##..##.##...##.##...#....#.#.##.###...##.#...##..##.#######.#.#..#.#.#####.######.##.##.#.##...##...####..#.###..#.###.##.##..###.##....#.#.##.#..#.....##.#.######...#.###........#..#.########....#....#.#..#..#.##.....#.##.##...##........###.#..#######.#####...##..#.#.....##..####...##....#.##.#.##.#.####.##..#.#..###...##...##..##.##....#.#..####.##..##.#..##.....#.#####...###.#######.#.#.##...###.#........#.###..#.##...#.###.#######.#.#.#.##.#....##.#..#.#.#.##.##.###..####.#....#.......#....#.#.#.#....####.###.#.##.#######.#.##...###...#..####.....#.#.#####...#####.#.##..###.#......#.#.###.#.#.###.##.##.#.##........#.######.###.######..######.###.#.#.###.##.###.#..##......#.#.##########.###.#.##.###.###.######..#####.##.##.###.#####.#....##.######.##..#.#.#.#....#.#.......#.###.###
######.##..#..##.######.######.###...##.#.#.#.#.###.##.#.#.#.##.#.#.######.####...###..#...####..##.#..#######.##........##.#.#..##.#.###.##.########..#..#.##...##.##.#..#.###.#.#..#.##..##...###.#..#...#.##.##...#.#.......#.##.#####..#..####.#..###..##..#......##.#.##.........#......####.##.#.##.#..#.####.##.#...##.#...#.##.###..##.##.##...#######...#.####.#..#.#####.#..##.#.##.####....###.#.#.####.#######.##.#..#.##.##..#.##.#..###.#.#.##...##..#.#..#...##..#####.#...###.###....##.####.###.#######.#....#..#.##.##..###.##..#..##.#####.#.##.##....#..##.#####....#.#.....#.##.##.....##.########..#.#...##.#.#######.##.#.##.###...#.###.#.#######..#.#.##..#.##...........#.....#######.##...#####.#.##.....####.#..##....###.##.###.##############.#.##..#.###.#####.....#.#..##.#.#..##.##..#.#.#.############...#..########..##.#.###...#......#.....###....#.#...###.#.##......##.##..##.#.#.................##.#.##.##....#......##.....#.##..#...#...##..##.###....###..###.#.#.###.##.####.####...#.#...#
#......###.##.#....###.....##....###.##.....#.#.#....#.#####.#..#.###.......#.#####...##.###....#####.##.......##.#.####.##.#########.#...#.......####.#.####..#.##..#.#.####...#.#.######.##.#..####.##.#.#######.#.#.##.#.##.#.##...##..###....#.##.##..##..###.##.##..####.#.#.######.#.#....###..###..##.#.#.....########.#.#.#.#...##.###.##.##.####..##..#.#....#.##.....######.##.###.....##.#.......####.#####.#.###..####.#############.##...#.#..###..##.....####..##..#..###.#...#...##.#######.#######.#...#.##.####.####..##..##..##.#.##......#####..###.###.##.....##.##.#.#.###....#..###.#......#.#.###.###.#.#..#....#.#...###.#...####..............##.####.##.##..#.#.##.######.#.#.......###..#....#######.#.#..#.###.####.#..##.##.#........##.#..#.#######.........###.#.######..#.###.#####..#########.......########.......##.###.#...#.###.###.####.###.######.#.###########.##.##...#.##..###.###.##.###.#.##########.##.#.##.#.#.###.#########.#.####.##..##....##.###.##..##.#.#..##..####......#.#...#.#.#
###.#.##...#..#.#.##...##.#####.##.#####.#.##.###.##.#....#####.#..##.#.###....##...#.#...###.###.##...#.####.##..#...##.##...###.#####.#.###.###.#....#....##.#..#.###########.#.#....##...####....####.#....##...###.##.#..###..#.#..##.#.#.#.##.#...##.##.##.#..#..##....#.#.#.####.########.####...#.##..#...##.###.##....#.###.#.#..#.##...####...#..####.#.#.#.##..##.##....#.#.##..###.#.###.##.########...#.......###....#..###.##.#...####.#.####...#####.###..##..####...####.######.##....................###.##..##..##.##.#..##..###.#.##.#.##..#.#####.....#####.#.##...#####...###.#####...#.####.......#..##.####.##.###.#.########.##.#..##.#.##.#.#.###.##....#..##.###..#.....##.#.#.#################.#...########...#...##.#.##..##...#.######..#.##.##.#.###.######...###..#..###.....#.....##.....#.#.##.######.####.#.##.#####.#.###.#.........###.#####.....#............##....#..##.######...#.#....#######......#.#.####.#.##.#.#.##.......##.#.#...####..###.##.##......#.##..###.####..#.###.#.####.#####.#
#...#..###.##.######.#..###...........##.###...##.#....#.##.#.###.#####.##..##..###.#.##.##.#.###....#.#.#.....##.#.#.##.##.#.........###.##..######.#.#.#.##..#.##.#.#.#.#...###.##.#####.####..##....####.###..#.##..##.##.##..##.#.##....#.######.####.##.##...#####..#.##.#.#............##...###.##..##.##.###.#.#....##.#...###.#.##..##.##....#...###.#.###.#..#.##...###.##.#####...#.####...#...##.#.##.##.#######.##.######........#####..#..#.######......#.##..##.#..#.##.......######.#####.#.##.#.####...#.##.####.....####..##...#.###..#..##......##.#.#....##.####.#..#.##.#...#....##.###...##.#.#.####.#...#.#.##...#....##.##.###..##.##.#..#######.###..#.##.##....######.#..#.#.#.....................####.#.###.########.#..##.#..###...##.##.......#....##.########...##...##...#.###.#.#####.##.........#.#........#..###...#....##.##.######.........#.#####.######.##.####.#.#####...##.#.#.###.#.####...#.##.#........###..#.#.#.###.#######.###.###.######..##.##.#.#.#####.##......##.#.##..#...##.#######
###.####...##...##.###.##...###.#.##.##....#####..#.##.#......##..##.##.###.##.##...###..#......##.#.#.#.###.####.#.####.#####.#.#.####...###.....##.#.###.###.#.#..........#...#.#...##......#.####.#....#...#.##.###.##..#..##.##.#..##.#.#....##..##....#..###...###.###########.###.#.##.##.#...#.#####..##...#...###.##..#.#####.#.###..#..##.#.#.#...#.###...#.#######...#.....##...#.#..#.##.####....#.........##.....#......#.######.....#.###....#.#.###.#.#########...##..##.#.##......#.....#####..#....##########..##.##.##...##..###...##.##..##.#.######.#.####...##..##....####.############.########....####.##....#.#...####.......##....##.##...........##.#..#####.#...#.##.#.######.#.#.#.#.#.##.#####.##...............#.##########...#.#....##.#.#.#...####........##############.#..####..##....##.##.###.....#.#.##.#.###..###.#.##..##....######.######............#.####.##.#..##.######.###..##.#......###.##.#.#.#.##..##.##.#.#.#.....#.#.....#......#.#.##.##.##.#.#...#.###..#.##..#...##.##.####...#...#
###..##..#.#..#.#...#...###..##.#..#####.#..#####.####.#.#.#.##..##.......#.#######...#.##.##.####.#.###.#......#.#..##...##.###.#..#####..##.########.#....##.#.##.###.#.###########..##.###.###..#.###.##.#.####..##.#..#####...#.#.#####.#.#.##..####.###.##...#...###......##....####.##..###.#.#.....##..#.#.##.###...####...#.###.#.####.###.#####.#.....#.#.#.#...##..###########.####.##.......#.##...#.##.##....##.###.#.#........#.########..##.....##..#....##.#.##.##..##..#.##.##.#.#.#.#.....##.#.#.#####.#.....##..##..###..##.###.########.#..#####.####...##.#..##..#.##....###.####..##..........##.#..##..##.##.#.#.#######.###.##..#.##..##.####.#.########...#.#.#.#....#.#...#.####.#######..#.....#..##.####.#.##.####.##.#.#.##..#.#.#.##....#.#.#.#...###.##.#.##.##.#.#.#.######....#.##..##.##..#...##.#.##.#.##.#.....####.#..##..##.#......#####.#..##############.##.#####.#...#......##.########.#.#####..#####..#.######.#####.#.#.....#.#.##.#.#......#.##.#..####.##.####.#..####.#.#####..##..#...###
#...######.##.#####...###...##..##.....#.##....####....#.#####..###.###.#####.##.#..#.######...##..#.########.#.###.#####......###.##.....##...#.##.#####.####.#.#....#.#...##.#.##...##..##......##..##..###....########...##..#.#.#.#.###.#######.##....##..##.####.##..##.#..####..#######..##.#.##.####..##.#.##...###.##...###........######...##...#.#.#######...#..##....#####.####.######.#.##.#..##.####..##.#.#########.#.#.######........####..#######.#.##.......#.##.####.#..#.####.#####.##########.#.......#######..##...#.##....#...#.#.#..##..........#.####.##..#.##.#####...#....##.##.#.##.##.##..#.####..#.##.#.#......#....#..##.#..#.##########........#.#...#.#.#.#.##.#.#.....##.....#######.#####.......###.##..###..#.#.#..####.#.#.##.#.##.###.#.#..##..###................#.#.####..##.#...##.#.###..#.######..##.##....###.##..##..#####.###......####........##......######.###.######.....##....#....###..#..#.##......#..##...###.#######.##.#.##.###########.##.........#.##...##.#.....#.##..##.#...#
#.#.#.#....#....###.#.##..#.##.##..#####.#..#.##..####.#...##..###..##....##.......##...##...###..##....##....#...####....##.#####..#####..###....#..##....##..#.#.#.####.#.......###..####..#.####..####...#.##.#........#####.#.#.#.#...........#..##.#.###.#..#.#.....###.##....##......##.##..###.....#.##..#..#.#..#####.#...#.#.##.#......###..##.##.#...##....######..##................####.####.###....#######..#.#.##...#.#.....##.####.#....##.......#.#.##.#.#.###.##...##.##.#....#.##.##........##....#.###.......#####.#.#..##.#.#.#.....#####.#.##.#####....###..#####.....#.#...##.....#.#..###...#.####....##..#.#.#.######.########.##.#.........####.##.#.#.#.#.#####.######.#####..###.###.####.....###.#.#.####..#.##.#.##.#.#.#######.#..#.#..#..##.#.#.####.####.##.#.#.#.#.##...#..####..#.##.#####...##.#......##..#.##.##...#.###..##....##..#..#.##......#.##.#..##.###...#.#...##.....##.#.####.#####.#...##...##..##.########..#.#.........#..#.####..........##..##.#.##.###.##.####.#.###.##########.#.#
#.#.#.###.####.##.#.#####.####..##....#####.#....##....#.###..##...####.#..###.###..#.#.####.####..##.###..#.##.#.###..##..#.....####.....##...####.####.###..##.#.#...##.#.#.#.#.####...###.#...###....##.##.##.#.#.#.##.##....#.######.##.#.#.#.#.##..#...#.##...##.##.#.#.##.#####.##.#..#..##.####.########.#.#####.#.#...#.#######..###.##..##.########.#.#..##......##.##.#.###.#.##.#.#..##....##...##.#.......####...####.#.#.##.###..#######.##..###.#.#.#..#.###...#..#.#.#..##.##.###.....##.###.#####.###..##.#########.#####.###.#.#.#.#.#.#...#.#..#....##.####...##...#.#####.#.#.######.####...##.##########..#.####.#....###..##.##.###..#.###.###..###..#.#.#.###.##........##.....##...#........##.##...#.#.#..#.######.................#.##.#.#.###.######...##...##..#.#.#.#.#..#.####...#####.#......##.#####.######..#####.##.#.#...##.##.#.####...##..#.#.#.##..######....#####.#.####.########.###....#.#.#.#####.######.........##.#####.#.#####.##..#.#.######.#.##.###.#.########...##..####.........###.#.#
#.###.....#....##...##.......##..#.#.##.#.###.##..##.#.#.##..###.#...##.#.##...#...##.###.##....##.#..#.##.#..#.#...#.##..##.#.#.######.#.##.#........##..##.###.#.#.####.#.#.#.#...##.#...#.#.#...#.###########.###.#.#...#.##.#####....##.#.#.#.#..##.##.##.##.#..#..#...#.##...##..####.##.##.....#.......######..##.#...###..#.#.###.#########.......##..####.##.#########..#.##################.##..#.####.#########..#....###.#.##...##....#.######.#######.##.#...##.##.##.#.##.##.##...#.#.####...#..##.....##.##...##..........#.##..###.#.#.#.#.#...##.#.#.##.....###....#.#.....###.#......#####..#..#..##.#.#.##.##..##..##.#.....##.......####...#.##..##.########.##...#.#.###.###.#.#.###.##.##.##.##########.#.##...###.##.##.#.#####.######..#.#.#..##......##.#########.###.#.#.#.##....#.#.....####.#.#..#.....#......##.#.#.#########.##..##.#...###.###.##.###..#.###.#.#.######......#........#####.######.###....##......##.#.#.####...##...#.....#####...#......###..#...#.#.......###.####....#.#.#.#.#...#.#.#
###...##.##.##.###.####.##.###..##.#........#.##.##..#.#..##.#.####.##..#..###.##.#####......##..######....#.##.##.####..##..#.###..##..#.#..##.#.##.##..##..#...#.#....#.#.#####.####.#.#.###.##.##....#......#.#...###.#.#.#..##..##.#..#####.#.##.##.#...###..##.#####.##.##.#####....########.#.##.#.#####....#.##..#######.##....##.........##.#.##..##....###.......#.#####..........##..##....#####..##..###.#.....###.#.########.#####.#.....#.#......########.######..##.#.##..#.##.#.###.##.##.##.####.##..#..#.#....##.#.#####..##.##..#.###.#.##.#####.#..##.##...##.#.#.#.###...#.#.##.#..##.####.#####.......#..#.####.##.#.#.#....#####.##...#######..........###########...#...###.#..##.##..#.####.......########.##.......#####.#.#.###.##########..#.##.#.#.......##....########.##.######.#######..###.##.#.#####.#.##..#...........#..##.##.#.#...####...#...####................##.#...#.#.##....##...###...##.#################..#.###.####.#.######.######.#.#.#####.##.##.##.#.####...#.##.######.#.####.##.#.#
#####.##.#..#...##.##...##...##.##.#.#.#.##.#.##.###.###.###...##...##.##.##....####....##.#..##...##...#.##.#..#...##..######...##..####.##.##.#.##..##.##.##.#.#.######.#.....####.#.###...#.##..##.#...#.#.####.#.###.######....######.....#.###..#####.#####.##.....######...##...##....###.###..#.#.......##....##.##.........####..#.#.##.###.###..##..##.####.##.#....#.##.#.##.###....####.#..#.###.###.......###...#####....##......###.#.#...##.#.###.#####......######.#..##.#.#..#...###......#.#.####..##.##.#.#.#####.....#########.#.########.....###.##...#.#.##.#.#.#..##.#####..####.....###.#.##..#.#.####.#.##...##.#.###.#.###.##.####.##.#..##.#####.###.#.#...##..#######...#.#####..##......###.###.#.#.##.##.###.#####.....#......###.########..######.##########........#..#.....######.#.##..#####.#....##.#####...##.#.##.######..##.#.#.#..#.#####.###############.#####.#####.#############.###...###......######......##....##....###.#..........#########.####...###..#..###.#...##......#.#...##..###.#
#.#....#.#.##.#..####.#####.###.##.#.#.#..#.#.####...##..#...####.#..#.#...####....###.##..##..#.#.##.#.#.#####.##.####.#.##...#####.......####.#.#####...####.#.#......#.#.#.#.##.......#####.##.###.##.######.##.###.#.##.#.#.#.##..#.##.##.#...##..######.....######..######.####.####.###.#..##.#####.#.##..#.#.##...##.#.#.##....##.#.#..###.....#.###.##....####..##.#...##.#..#..##.#.###...##.....###...#.##.#########.#..##..##.###..##.#.##.###.#.......##..#.##.#....#.##..######.#.#..#####.###.....###.##..#.#.#...##########.#...##.#.....##...#.#...#..##.##.#.##.#####.##......#.###.##.##...#......#######.#.#.###.##..#..##.#......###.........##....#####.#.#.#.#####.......###.#.....##..#.#.##..##.........##.....######.##.#####.#.#......#.#.####...##.#.....#.####.###.#.#####.#.#..........##.##.##..#.##..#....##.#..#.#.##......##..#.#.#.##......####.#...####....###.#.###.#.###.#.##.#.##.#.#.#.#...#.##.#........###.##..#.###.#.##.....##.#.###...#.#.#.#...###.##...###...###.#.##.#.####.#.#.##.####.#
#.##.#.#.#.##.#.###......##...#..###.#.#.##.###....####.##.#....###.####.#.#....#.##....##.##.##.######.#..##....###.......###....###.#.#.####..#..##.###....#.#.##.##.##.#.#.#..##.#.##########..##...#.........###.....#......#....##.##..###.#####.#.##...#.#......##..##.#..#.#..##.#.......###....##.#.##.##.#..########.#..###.###.#.##...###.###...#..##.#..##..###.#####..#######..#...###.##.#.#..###.##..#..#.###.#....#################.#....#.#.#.#.#..##.#.##...#######.##..#...####...##...##.#.#..##..######.#.###.###.#.#....#..#.##.##.##.#.#.##.##.##...#.#.##.....#.##.##.#####...##..#.#.##.#####..##...###...#..##.##..#.#.#.##...#.##.##.#..##.###..##.#.....#.#.#.#####...#.##.##..##.#.#####..#.###########.##...##.#.##.##.####.####.#........#####..##.##......#.#####.#.###.#.####.##.#.#####...####.##.##.####..#.##.#.##.##.#####.###.#..#.####......#.###....#####.....##....#.......#.##.......#####.#..#.#####.########.#...#.###..#.#.########.#.........#..#######...##.########..#..#####.####....#.#
#....#.#.#.####...#.#.#.##..######...#.#..#...####.#....##.##.#.#.....##.#####.##.####.##..#...#..##....#.#####.##...##.##...##.###...###.#....###.....##.#.##.#.#..##.##.#.###.##..#....#.....#.##..#.#.#.#.########.#.##.##.#.##.#.....##..##..#.#..#.###.##.###.#.####..#.##...##....#.###.#...#.#.#####..#..###.#####.##..#.##...#.###..#.###.....##.##.###.####..##....#..##......######.##....###.##...#..#.###.......#.#####..............###.####.#######.##..#.##.#..##.#.#####...#.##.##.####.############..##..#.#.....#.#.#.#.####.##.##.#######.###...#..#.#.#.#.##.#######...#.......####.##.#.#........##..#..##.###.##...##.###.###..#.#.##.##.##..#..##.###...###.....#.....#.###.##.##.##..#..#####.#.......###.########....#........#.#########.##.###....##...##.#.###.....#...#.###...##..#.#.......#....#.#####..###.##..#.#..#..#..#.#..##..#.##...##.####.......#.####.##.######.###.####.##.##.##.##..#.#####.#....##.......#####.##..#####.#........#.###.#.#.#.##....##...#.#........##.###.....#..##..#.##.#
##.#.#.#.#.#....#.#.#.#.###....####.####.##.###....#.##..#.##.#.#.###.##..##....#.#.....##.##.###..###.##....##.#..#.#...#.###....###.#...##.#...##.##.##.#.##.####..#..###..##.######.#...#.#.#####.#.#.#.#....##..#.#.#..#..#.##.###.####.####...####.#...#....#.#....##....#.###..#.##...#.###.#.#....##.##.######........##..###.....#.#######.#.########......##..##.#...####.#.#......#..#.##...#.###.##.##..####.#.#.........#.#.#.#.######......#..#.#.####..########.........##.###.....#.##......#.#.#.#.##....#######.##.#........#.####.....##...####.###.#.###.#.##..#....##.##.#.#.#..#.##########.##.#....##.###...#..##.###..##...##.#.####.##..##.##........#...#.#.#.#.#####..##.##.##.##.###..##.#######.#...#.##.....###.##.####.#####...#..##..#.....######.#####...##.#.####.....#.#..####.####.#.##.##.#.....##...#..#.####.##.##.##...##..##.###.###....#.#.#.###....#.............#...#####.....#..##.....##..##.#..#.##.####...###..##.....#.#.#.##.#.##..#####..#########.####.#####..####..#########.##.##.#
#..#.#.#.#.####.#.###.#.#...##...##...##.##..##.##.#.#..##.#..###.##..#..##..#.##.##.#.######...####...#..#####.####.#.#.#...##.#.#...###.##.##.###.#######..#...##.###...##.#...##....###########.################...#.#######..#..##.##......#.######...####.#.#.##.#####.#####...#####.###...#.###.##.##.##......##.#.###..##..##.#.###.......#.#........###.#####.##..#.#.##.#.#.#.#.####.##.##.###.#...##..##....#.#.#.##.##########.#...##.#####.###........##.......##.##.##.#.##.##..#.#######.#.#.......#.##.##..##.######...#.########..##.#####.#...##..#######..###..##.#####..#####.##...........##..#.###.##....#.######..##..####.#####....#.###.##.##.##.#####.#.#.#####.....#.#####...#..#.#.##....##.##.#######.#..###......#.#######.#..#...####.#.#.#...#..#...##..###..#.#.###.#.#####...##...##.###...#.#.##.####.##########..####..#.#####..#...#.##..######.######.#...##.####.#####.###.##..##.##.####.#########.#.##..#......#############.#.#####..#..##....###....##.##...##.....######.##....#.###..##.##.#
##.#.#########..#..##.####.##..######.#..##.#####..#.##.##.#.##...###.##.#..##..######.##.....#...###.###.....#.##...###.#.######.######...#.#..##.......##.##.###....##########..#.##...##.#.##.#.##.#.#.#......##.#.#.#.......###.##..####.###..##....#.#....#.#..#..##.#.....#.#.....#..##.###.#....#..#.##.##.##########.######..#...#.#.#####.##.###.###.......#..##.#.#..#.#.###.#...####..##...#.#.#.##.########.###..#......#####.#.#........######.#.######.###.#.#..##..########..##..#.#.##.#.##.#.##...##.######.#.###..########.###.##......###.###..##.....##...##........########.#..#.#.###.#.#..##...####.#.#####.##..####...##.....#.#.##..####..##..#....#########.##########..##.#.#.##...###.#........#.##.#.#.#####.#.#.............####.##.#######.#...########...####.....#.#.#..#########..#.#######.#.#####.........##.##....#.#####....##########...#.#.......#.#.#.##.#######.#.........##..##.#.#......###.#########.#.####.#.#.#..##...#....##.##.##..##...##.#..#..###..##.####.#.....#.##.....#.###..#.#
#..#..#.#......##.##..##.#..##......####.####.#...####..##.######...#######.##.##......##.##.##.#..##.#...##.##.##.#...#.#...##...#....###.####.##.#.#.###..##...##.#.....##.....####..#.......#............#.##..########.##.#.##...##...##.####.#..##.#.##.#.#.#.###....#.#######.######..#.###.##.#.#.##.##.##......##......###..##.#####.##.####....#...#.##.#.##.##..####...#..####.#....##.#..#.#####.##....#####..##.##.##.#.#.#.###.#.#.#######.#.#.#.###..#..##.####..##.##..##...##..##....#.#..#####..###.............#.###.##......#.##.####.###...##....#.######.###.##.#.#####.#.########...######.##.#....#.#....#...#.##.#..#..##.######..##...###.##.##.##.....#.#...........##.#####.#####.##...##.#####.............##.#.##.###.#####.##.#####......##.#.#......##..#....####.######.##.###...#.##.#.#.###.#.....##.#.#.##.....###.##..##.####.........##.#...##.#.#.####.###............##.#.#.####.##...##.#.###..........####..##......#.##..#.##.###...#..##..#.#########.#####..#........###.#..##.#.####.##.#.#
##.##...#####.##...##.#....###.###.##.........##.##.###..#..##....#####......#..###.##.#####..#.##..####.##...#..###.#.#.#############......##..#..###..########..###.###..#####....##.#.#.###...#.#.#.#.##.#..#.##........##.#..##.###.###.....#.##..#.#.##.###.#..###.###.....##.......#.##...###..#.###...#..#.###.#####.####...#######.......##..##.##.##..#.#..#####.##.##.##.##.##.#.##..#.#.##.###...###.#.....##.##..#.####.......###.#....#.#....#.#.....##.##...##..##.....####.####....#.##.##.....##...##.#######.##..........####....#.######...#.##.#.#####.#####...##.###........#.##.##.#...##.####.#.#.####.##...#####..##.#.##.......##.##.#...#.##..#.#..#.#.....#######.#.......#####.#######.##...##..##.#.#########.#.##...#....#####.#.#.#.#########.#.#######.##.######...##.#.........#.#.##.......####.############.##.####.#####.......#.#.#.####.#.####.#####..#.##..##.##.#.##..###.#..#.####.###..#.#.#.########...###.##.######..##.####...##.######.######.#.###.#..###.##.#.#.#.###.##.##.#.......#.#.#
#####.###......##.##..###.##.....#.##.#.#.#.###..#......###..##.#...#.###.#.##.##...#...##...##.######...##.#.##.#...###.....##.##.#...##.#..##.##..#####.##..##.##.....#####....####..#.###########.#.#.##.####..##.#.###.##.####..##..####.#.####..####.##..####.##...#####.#..##.##.#.######..#####...#.#.#.##.###.##......##.#.......###.##.####.##..#..##.#.##.##........#.##....##.#..###########.###..##.#.########..##.#.##.#.#.####..##.#.....##.#.###.#.##..##.####.###.#.###.#..##..#.#####.#..###.#..#.#....#...#.##.#.#########.##.#.#.....##.#.####.#..........####.##.....#.##.#......####.#.......#.#.#.#.#####.#....###....######.#.######..########.##.#.####.#.#.......###.#######.........###.##.#..##..#.#....##.#.#.#.#..#.##.#..................##...#.......#.##......#.#......###.##.######..####.###.#............###.....#...#####.#.#.#####....###....#.......##..##..####.#.##########....##....####..........#######.####........##...##..#.####.#.#..#.##.......#.#.##.####.###.#...#..###..#.#.#.###.#.#
##.....######.##..##.##...####.###..#.#.#.#...##.###.##...##.##.#.###.....#..#..##.##.#.##.#..#....##..#..#.#..#.#.#.#####.###.......#..#.##.##..##..####....##..####.#.###.###.##....##...........#.#.#..#...########.###.#...####..##....#.#....##.##....##..##...###....#####.##..###......##.....##.##.#.###....#######.######.#.#.#...###...##...#.##.#####.##.#..#.#.#.##..##.#..####.....#....##.##..#####.#....######.....########...##..##.###########.###..######.....######....##..##.....#.##.######.###.#.##.######.#............#######.#..######...#.#.##.#.###.####..#.###..###.##.#....#.##.#.#.######....###..####..###.#.....##.#..#.####........###..#....#.#.##.####.#####.....#.#########....#.##..######.##......######.###########.##.##.#####..###.#.#.#.#.#.##.########.####.###..#.#....##....#.....#.#.#.#.#.##...###.#######.#####.#....##.#######.#.##.##.#..#.###.###.###....##...##.#.####.#....###.####.#.#...###..#.##.##########..##.#........##....##.####...........####..#.#.#.##...##.#.#####.#.#
#..###.#.......##..####.#..##..#.######.#.#.#..#####.##.#.##..#.#.##..#.#.#.########..####.#.##.#.##..##.####.####.#....##...###.#.#.#.##.##..##.###....#.######.#....#.....###.#..##..##.###.#.#.####.#.##.#.....##...#...#.#...#######.#####.#.#########.##.##..#.#...##.....#.##.###..#.##..#.#####..##.#..###.#.####.#....##...##########..#..#######......#.##.##.#.#.#####..#.##...##.##.##.####.....###......####.#.####.#.....##.###..##.##..##..#.##.######......##.##......####..##.##.##.##.#.....##...##.#......##.####.#.#.#.##.###.#.########.#.###.###..#.#........##.#...##..#######.#.##..#.#.#......#.##...##....##..##.#.#.#..#.##...#.##.######...#.##.#.##.#.##....###.##..#.#.#.##......#.#.######.###.##..#.#.##..#.#.#..#..#.###.###...#.....#.####.#.#######.##.......##...##...#.####.######.#.##.#.##.#.###.#..##.##########.#.#.#######.##....##..#####..#########.......####.#....######.##.#.##.#.#....#####...###.#.##.##....####.##.#####.#.##.###..##....#.######.##.#####.######.#..#.#.##.#####.#.#.#
##...#.#.####.####.##.###.####....##.#..###.##..##....#.#.#..##.#####.#.#.#..##.#.#..###.###.####..#.#####.....##..##.####.#..##.#.###.##.#..###.#...##....##.#..#.#.###.##.#...##.##.##..###.###..##..#..#.#.#.######.###.###.#....##......##.#...##.......#.#..####.###..#######..#.##.#.########.#########.#...#.#.#....#.##..#..........#.###.......#.#.#########..###...##..##.###.###.#####.#.###.##...#.##.#........#.##########..#.####...##....##........######.###..##.###...##.##...#..#######.#.##..#.##.##.#.###...#.#.#.######.........#.#.#..#.###..##.####.##.#.#.##.##.####.....###.#..#.######.#.#.######.##########.##.#.###.##.##.#...##.....######..#.####.#.##.##..#.....####......#.#.##.####..........######.##.##...##...##.......##.##.##.#####.###...##.#..##.#.#.#.##.###..########......###..#.####.#.#...##.#####.###.#.#.......###....##.#....###.###......#..#####.#....####.#......#.##.######.#.##....####.............####.....#...##..#.#....##.##.##........###....#...#...##.#.##.#..#.......###.#
###.####.#....#.##.....####..##.#....#.##....#.#####.##.####..#.#.....#####.##....##.....##...####.#..##...##.##..##.....###.###.#.##..##.#.###..#.#..##.#..#.#.##.#.##...####.##..##..##...#..##.###.##.##.#.#.....##.#.....#.#.#.####.#.#..#.#########.#.#####.##.....##.......##....###...........#.#.##.####.####...#.##.##.###.####.##.#..####.#.###.#.....####..##...#..##.##..####.#..........#####.###.##.#.#.##.#...#.#.####.#.##.#####.##..#######.##.#..#####.##..##...##.#.##..##.###.....##..#######.##..#.#.....###.###....#.#.#.#####.......##...##..#....#..#.#.#..#.#...#.##.####.###.##.....####.#....##...#.##.##.######..##..#.##.##.##..###......#.##....###.##..##...#####.####.#.##########.###.##.###......###.....#..##.###.###.############.#.#.#####....##.##.###.#.##...##...##.#.#.####...#.##....###.##.###...#.#.#.#.....#######.###.##..##.#......##.#.####.#########.#..#.###.#.#######..#...######.##....##.#.#.#.#######...###########.#.#.#.##..####..#.##.#..#######.###.###########.##.###.#...#.#
#....##..##.#....#.#.#......##..###.#######.######....#.####.##.#.#.###......##.#....#.###..#....#.##..#.###..##.####.#########..#.#..###.#...######.#####.##.######.##.#...##..##..#.##..#.#.##....####..###.###.#.##.#.#.#####.#...##.###.##.....##....#...##...###.#..#.#.##.##..#.##...#####.#.#.........##...##..#.#..#.##.#.#.######..##....#######.#.###..##..##..#.#.##..###......#.#.#.##.###.......#..###.#..#.#####.................#..##...#.#.#.#####.....#####..######.####.###...#.#######....##....#.##.#.##.####.########.###..#####.##.#....#.#..#######.##.#.##.###.#...#####.....#..##.####.##.##.#..##.##............##..##.#..#.#..##.###..###.#####.##...#..##.#..#.#.###...####...#.#......##...#..##############.###.##.......#.....#.######.....#.############...#.#.##.######........#.##.###############..##..#.#.......##########....#..##.####.##.######............#.#.##...###.####.##.##...#####.....#.####..###.####......##########.#..#.#.#..##...###.###..##..###....#.#........##...##...#######.#
###.##..##..##.###.###.#.######...#.....##...##.#..#.####.#..##.###.###.#.#.######.#.#...##.#.#.#####.#######.##..##...#...##.##########..##.##........##.........##.##.#.###..##..##..##.###..##.####.#.####...#.#..#####...##..#.####.#....#.###..###.##.#####.##...##.#.#..#..##.#..###....#########.###.####.###.##.#.####..#.......###.##.##..#.#..###...#.####..##.#.#..##..##.##.###.###..#...####.####.##...#.##...#.#.####.#.#.###.##.##..##.##.........#.#.#...####.#.##.#....#.#...#.#......###.#.##.##.####.#..#......#.##...#.######...#.##.#.#.#####......#######..#######.###.#...#####.##........#.##.##.##....##.#.#########.##.##.####.##...##...###.#.############.##.#.......###.######.#.##.#..##.###....#......#..#...###..###.#########.#.##.####.##.....#......#.#######......#########....####.#...#.##.####..##.#...#.#.#....##......########.#.....#......##.#.#.#.#.#...####.#...#..#.#.......#..##.#.##.##....##..##..#.#.######.#...#....##.#.#.#.###.#.#...########.....##.....##.#######.#####.......#.#
#....######.##.##...####.....###.##.#.#..##.###.####.#.#..#.######....#.###.##.....#.#.###..#.#...##...###.....#.###.#...#....###........##...###.#.#.##..##.##.#########...##.##.####..#..##.##.......#....##.########.#..#..##.#....#.##.#.#..###..##.##...##..#..#..#.#.#####.#####.##..#.##.#.#.#######..##....#..###.#.######.#.##..##.##.###.....###..#####..#.##..#.#.##..######.###...#.###.##.....##...###.#.##.#........#####...#..#..##.#.....##.#.#.##.#.#.#..##.......#.########.####.#.#.#...###..#.....####.##.#.#......#..........#.#..#####..##...#.##.......####...##........#.....##########.##..#..#.#..#.##..#.......#.#..###...##..##.#####.###....##.####....#.#..##.#.##........###.#..#.#.##..##..##...##.#...####..###...#....##.....#..#.#.##.##.#####.###.##...######.#.#.........##.#........#...##.#.###.##.##.##.#.###.###.##.#........######.######.##..###.#####.#..#.#.#.####.....####.###....#..#..##.#####..##.....##.#.#.#.#...#.#####.#.#.#.###.#.###....####.##.############.#.##.##.#..#.#.#####
#.##..###...#..###.##.#####.##....#.#.#.###.#............##..#.##..#.##.#....#.###.###..###.#.##.####.##...##.##.##..#.####.#.#.#.###.#.####.######.#####..#.##...#..##...#..#.#...##..###.##..##.#.#####.#.##.....#.#....#####..#.#.#####.####..##.##...##.####.##.#.####....##....##.##.##..........##..##..#.#.##.###.......##..#.###..#..###.#.###...##..#####.####.####..##......#...##.#####...#####.###.####.#..#.##.#.##########.###############..#.#.#..#.#.#.##..##.########..###......#####.#.#...#.##.#.####...##.#.#.#.##.#.#.##.##.########.###..###.#####.##.#...####....#.##.#####.#####.##...#..#.###.#.##.#..##########.#...##...#..##.#.....##.....##.........##.#.#.##..#..##########.#.#.########..##.##.#.####.#....##...##.#####....#####.##.#.##.#...#.##..#######...#.##.###.##.##.#..#.#.##.#######.#....#.#..#.#...#.#..##.....##############.###......#..##...#.##.#..##...###....#####....#..##.####.#####....##..####.##..........##.##....######.....###.##..##..##...#..###.#.......#.##.#..#.#######.##
#.##.##...#.####........##...##.#.#.#.#.##..##.#.#.#.#.###..##..##########.#####....###...#.#.##..##..#..#..#.#..###.#.##.###...####..#.#.#..#..##...#.###.#..#.#...##..#.#.##.##.####...###..###.#.....###.##.#####...##...#.#.##.####....##...##..####.##.##.#.#..#.#####.#.##.#.#####...#.####.##.###.########.##.#...#.#.#..####..##.#####......########..#.##.#......###..##.#.#.#.#.##.#.#.#######.....#.##.###.##.##.#..##.#.#.####..#.##..#...###.###.#.##.#.###..##....###.##.##.###.##########.#.#.#.#..#....###.##.#.#.#..###.#.####....#.##.#...####.......#..#.#.#..##..##.#.##....#####..#.##.####.#...###.#..#.##.#.##########.##.#.##.##.#.#.#..##.##..#.#.#.#.#..#.###..##.#######.#.#.#.#.....#.#.##.##..##.#....#.#######.#.##...##..##....##.##.#......###.#..##.##.######.#####..####..###########.##.#####.###.#######.####.##..#.#...#...####.##....##.#.########.##....#.#####...#.##.....######.###....#.....##.#####.####..#.#.#.#.###########...##...##.##......######..#.##.......###.#....####.#.#..##.#..#
#.##.##.###..##..#.#.##..###.#..###########.#..#####.#...##..##.....##.#.######..#.##.#.###.#.##.####.#.##.#####...###.....##.#.##...##...##.##....#.....#.#######.####.#.#..#.#...##..#...##...#.##.##.###..#.....######.#...#..#....##.#..#.#..##....###...#.####.#..#.##.#########.###.##....#.##......#.#.###.##.###.###.#.##....##....#.##.#.#...####.##....#.##.##.##...#####.###.#.##........##.#.##.##.....##..#.#####..........##.##.##.##.###.#...#.####.#...#######.##...#......##......#.#####.#.####.#.#.##...######.##..##.#....##.#........#..###.#.#####.#######..#####.#.##.##...#.##...##....#.#.#...####.#...........##.##..#####...###.###.##...#################...##..................#.###...##..##.##.#.#.##....##.######.#.###.#####.........#.##.......##...#............##..####..##.#.##.##.#....##....#..###....#..#..##.#.#####.###.......##..#.#....########.#.##...##..#.#..#.#.#.....####.##.#############.#...##..##.#####...#.##..############...##.#.#......####.##.#.###..#########....###.##....##
#..######...####.#.#..##..##.##..........##.#.##.....#.########.###..........#..##..#.#...#.#.#....####.##.##..#.#.#...###.##.####.#.##.#.##.###.#.###.#.#...#..##..#.###.#.#####.##..########.##.##.#....#.###.####......##.###.###.##..##.#.#.###.#.##...#...##...##...##..#.##.#.#..##.###.###..###.##.......###..##....###..###.####.#...##.###.###..#.#####...##.##.##.#.#.###.##..#..####.#####....#..##.##.####.#...#.#.##.########.#............###.#....#####...#..##....#...#.#.##..##.###.#.###.#..##..###..#.#.....##.###..###.#####.##.########...#.#....####...#.#.##.....####.##.#......####.######.#.#....###.##.##.###.....##.##.####.##....######.....#.#..##.#...##.####.##.##.########.##...#.#############.###..##.........#.#...#.....##.###.#.##..###.#.#..#.###.#####.#.######....##.......#.#....#####.####.##.####...###..#.#.........##.###.####.#.#.##...##...#.#..#.#####.###.##.#.#.###..###..#.......#.#.#...##.####.##...##..#......##.##.#.#...##.##..#.##.#.###.....#.#...##..##.#.#.####..##.#..##..#
##...#.#..#.##...#.######..###..##.##.#.########.#.#.#....####..#...#.##.###...####...##.####.#.#.##....##..##...#####..#####..##..#.##.#.##..####...#.###.#...######.########.....##......#.#.#####.##.###...#####..#.##..#..##...####.##..#.#...#######.##.#..#.#.##.#..##..........##...##..##.####..#.#.#.#..##.###.#.###..###.....###.####.#...##..##.#.###.#.##..####.#.....#..##.##..##......###.###..#.##...##.##.##...##............##.##.###.#########...#####...##..##.#.###.#..##.##.........###.####...#.##.#.##.#####...##....##.###.......#.#.###.#.##......#...#..##.#.##....##.#.#######.#.....##.#.#.#.##...####..#########......##...##.#....##..#.#.....##....####..##...#.##..##########.#.....#.##....##....#.##..###.#.#####.#.#.#####...##.###..##...#.##...........#.#...##.##.#..#.#.#.###.#.####.#.#.##.#.......##.##.##.#.##.##.#.#......#....#####..######.###.#.####.##...##..#.###...##.....##########.....#######.####.###..##.######.....#...#.##..##.#..###...##.#.##.#.#####..#.#....##..###...####.#
##.#.#.##.#.###.##...#.###...##..#.##.#...##.#...#.#.##.#....#####.##.#######.##.##.#.##...##.########.##..####.######.##...##.###.#.#..#.#..##....#.#.#####.#..........##.#.####.##..##.#.#.......#.#....#.###.....#####.###.##.####.#####.#.#.#...###.#.#..##.###.#..#.###.###.##.###..#####..####...####.#.#.#####...###.##.#...###..##....#.#.#..#.###.#.#.#########....#.#.#.##..#.##.##..#.####...##..##.#..####..#..###..#.######.########...##.##.##.####.##.#####.###.#..#..##.##.##.##.#.###.#..##.#.#..#.#.####..#....##.#..##.#.....######.#...#...###.##.######.#########..##.#.##.#...........#.#..#.#.#.#.#..#....##.........##.#.###..###..#.#.####.###.#.#....#####.##.###.#####.##.....##.###.#.#......#.##..########...#.#....##.#.#.....##.###...#######.#..##.#################.####.##.###..............#......########....#######.#..#.##.##.###.#..#.###.####....######.#...##.####.#..####..##.####..#.#.....###.##.......##..##..##.........###...#.#.##.###.##..###.#####..#.#...#.##...#.######.#...####.###
#..###....#..##.#..#....###.##..#####.#.####.#.#.#.#.#..#.#.#####..#..#.##....##.####..#.#.#..##.##....##.##.....#.#.#....######...#.#.##.##.#..##.#.#....####.##.##.##......##....##..######.#.#.##.#.##.#..##.###..##.#.##...#.##.#.##.####.#.#.#.#.#.####.##.##..##.#...#.#####....##...#.##..#.###....#.#.#...##..#......#.#.#..#####..#.##.#.##...#.#......#.#...##.##.#.######.##.##..##.#.#####.###.######..##..##.##.#.##.....####.###.###.##..........####......#..####.#####...###..##.####..#.##....##.#.#..##..#####.##.##.##.#.#####....####.##########.......#.......##..#####.##.##.#.#.#.##################.#.#.####.#########.#...##..##.##.####.....#.#.#.##........#.#.....##.....#.#.....##.#.##.##.##.###......##..#######.##..#.#.##.##....#.#.....##..#.##.........####.#.#.#.#.####....#.##.##.#.#.##...######.##...##.#.......#.####.##..#..##.##.....#......##..........#..####...##....#.##...###.##.#.#.#..#####.###.#####.##.#####.#.#.###...#.#.#.#####...##.#.#....##.#####.##..#.###.#.#.##...####.#.###
##.##..#.###..#.#.##.####....##.....#.#.##.....###.#.##.###.....##.##.#....##......##.##.#.##.....#.##.##..#.#.###.....##......#.#.#.#..###..##..#####.##....#..#..#.##.##.###..##..##....##..#.####.#.##.##.##.#######....##.##.#........#####.#.#.....##.#..#####.##.#.###....##########...###....##.####.#.#.#.###.#.#.#.####.##..#####.###..#..###.....##.###...####.##.#......#..#.##.###.#.....#.#.#.#.###..##..###.##...###.#.##.#....#.#.######.#.#.####.#..##.####...##.#.#.###########....##.#..###.###.#.#.####.....###..#...###..##.#.##....#..###.#...##.##.#####.#.#..##.....###..#..###.#...#.#.##..##.#..##.#.###.#...#...##.#.#.#####..#.##....#.#.#######.#####.#.#######.###..#.######.##..#.#..#..######.####.#.##.###.#.####..##.#..#.###.###.#.##.###.##..##.#.#.##...#.............##.#.#.##..#.#.#.##.#.........#.######.##########....#.###.##.#..#.###.##.#..#.###.#.##.##....#####..#.##.##.#..........######.##...##...##...####.##.###...##.##.###.#...########...#.###....##..##.......#.#....#......#...#
#..#..##.##..##.###.....#.##.##.###.#.#####.##...#####....###.###...######.##.##.###..####..##.#.##.#..#..##.#...##.#.####.#####.######.##..####.###...##.#######.####...#...#####.#########.##....#.#.##.####..#.......#.##..##...######....##.#.##.####....##.....#..#...##.#..####.#.####.#.##.#.#.....#.###.#..##.#.#.####....##.....#...#.###...###.#.##.#...#....######.######.##.#....###.###.###.......######.##..####.#.#.#......##.......#.######........##.....#.###......#.###.#.#.###.##..####.....###.#...##.############...##.......#.#.#####.#...######.....####.#.##..###.###.###..##.#.#........##....###.#...#.###...###..#.#.....#.##..##.#####......##...########.#.#...###.#.....##.#######.##.##..##....####.#...........####..#.##.#.#...###..#.##...##.####.#..#.#...#.##.#.#.#.###.#.#..##.###.#.#######.##.#....##..#..........####.###########.#...#..#.##.#...###.##.###.#..##...#####..###.##.#.###...........#..#.#..###.##.#....##..#..#.##..####.######.#...###.#.#.#.##..##..##.##.....##.#.#.#.##.###
##.##..#.#..##...###.##.#..#.##...#.#.....#.#..#.##....#.###..##..#.#......####....##..###.##..#..###.##.##..##.###.#.##......##..#.#....####......##.###...#.###....##.##.####..........#.#.##.#.##.#.#.....#.###.##.#.#..##..#.#.....###.###..#.#.....###.#######.#.##.###..##...........#.#.##.###.#######...##..#.###....###.####.#.######..###.####.#.##...#.########.........#.##.#.#.####...#######.#.#...########..##....###.#.#.###.#######.....###.###.#..##.#.##...#.#.#.##...#.#.#...#####..#.###.####..#.###.........###...###..#.##.######.##....###...######...##.#..##...#...####..##..#.#.#.##.#....##...#.#.#...##..#.....##.###.#.#.##.###....##.#.#####.#...####.#.#.###...###.#.###...###..########..##.###.#####.#.##.#.#..######..#.#...#####.#########.....#.######.###..#.#.###.##..###.##...####......##.##.###.###.##.#.#.#.##.###.....#.#####..#.###.#####.#.#..####..#.#########...#.####....#.#.###.##.#.###.#####.####......#.#.####.#.########.#.........#.#..##...###..##.##.###.##.##.###.###.#......#
#..#..#####..##.##....#.#.##.##.###.#####.####.#..####.###.####..########.##....#.####...#.###.##.##..##..##.##...########.########.###.##....###.###.#...#.#...##.#..#..#....####.#.#.###.####.######.##.#.##.#...##.###.###.##.#.###...#..##.##.##.##.##..##.#....#.##..#######.#.#.##.###....#..##.......###.##.##...##.#.##..##...#.....#####.#.##...#####.##........##.##.#####..#####....#.#####.#########..##.####.####.#.##..#.#...#.........#####.####################.#.#..##.##.....#####.##....##....##.#...##.###.####.###.#...##..#.#.#.#.....##.....#.....##.###..##.#..#####....##.#####.########.#######.###.#.#.###.#.##.##...##.#.#..#.#...##..#.#...##..###...#........#.####..#.#.###.#.#.####.#.##.###.......#.######.####...#.###.#.##.##.#.#..###.####.##.##......#..#########....##..##.####..##..######..##..##...#..#.#######....###.#....##...########.#.#.####....##.........##..#....#.###.##.#...#..#######.....#..##..#.##.###..##..###.#...##...######.##.#.##..#..###..####...####.##...#######.##.###
####.######.##..#..#.##.#.#..##...#...###.##...##..##.........##.#.#.#.##..####.####.##.##.#...##..##.##.##..##.#.##.............##......##.#...#.#...#.#.#...###..#.##.###.#....#.###.....###....#..#.#..#.######..###...#.####.#.#...#.#.##...###...#..##.##...#.##..##..#.#.######..#.###.#.##.##..#######...##..#.###..#..##..##.##.#.#...###.######...##..##.####.#..####.....##.##....#.######.#...##.#.#####...##.....###.##.##.#.####.##.##.###.#.......#.#.#.#.#.##.#######.......###...#.#.#########.###..###..####..##.....#.#.#.##.##.......########.####.#.##....##.#####.....#.##.#....##.....#.########.########.#..##.#..#..##.#######.#####.###.##.#.#..##...###...##.#.#.#....#.##....##.....#..#.#.##.#.#.#######....#.###....#....####.#.......##...#....#.##..#.#.#.###........###.###..##...##..####......######.##.#...##########.#.###..#.####..###.#..##....#...#########.#####.##..##.####..########.###...###.##########..##..#...##..##.......#....#.....##..#.#..##.##..#######..#.##....##.####.##..##...#
#.#...##.#...##.####.##.#.##.#..###.#...######..##..##.#.##.###..#........##.........##..#.#.#..#.##..##.#..##..#..#####.##.###########.#####.#####.###.#.###...####.##..##.#.#.#####..#.#...#.##...####.##..##....###..#......#.#.##.##.#####.##...#.##..#..#.#.#.##.####.#.......##.##...###..#..##.#####.#####..##...##.#.###.##..##.#.#.#.......##...#..##.##..#.#######.#.##########.#.####.....#.###..........#.##.##.##...#..##.#....#..#.##.......#######..............#.##..###.#..##.#.......##.##.#...##...##....##....#.###.#.#..#..#.#.#.#.####.##########..##.####.#.....#.#####..##.###..#.###.#.##...#....#.##..##..#.##.#.##...#.#.####.#.#...#.##.######..######.###.###.#.##.###..#.##..###...##.#.#..........#.##.###...####.#.####.##.#.##.##..#.#...##.#.##.##.###...##.#######.###########..##....##.###.....##..#.#.###.##.#.#.#.###.##.####.######.#.###.####.#........##.....#..##..#.##.##.#.#.##.###.#.###.#.........##.##..##.#..#.##..##.####.##.##.####..##.##.#..###...##....##..#.##..#.......#.####.##
#...#.#....######.....#.###..##...#.#.#.##.##..##..##..#..#...#########.######.#.#############.##..##..#.##.##.##.###.#..##.........##..##........#.#...###...#....#.##.#####.#..##...##.##.##..##.###....##..###.###..##.#.#.##.###...#..#.#...##.##.##.##.##.#.#.##.##.#...#####.##.##.#.####.#.##........#...#########..#.#....##..#.#.###.##########.#.##..##.##.###.....#..##.#.#..###.##.#####.#...#.##.#.#.######..#..##.##.######.####.#####.##.#.........##.##.##.#.#....##...####..#.#.#####.....#.###.#..#####.#..##.###.#####.#.###########.........##.###########.###.###.#.....#.##....##.#..........#...####..#.##..###########.##.#...##...#.######.....###.....####.#...#.#.##...#.##..##...#.#........######.#..........#..#####.......#.#..#..##.#.##.#######..##...#.#.##.......#.##...##.#.##.#..####....#####..#.##.#..##........#.###.##.......##.............###.##########.##.#.##..##..#.........#...#.###...#.##############.##.##.#..#.##.....#.#####....####..##.##..##.######.##..####..###.##.#.#.#.#...#
##.#######...##...#.#.###...##..###.#.#.....##.##.#######.##.####.##.#...####..#.....#.##.##...##.##..####...######.....####.##########.###.###.######.######.#.#.####..#.#...#.#####.##..#####.##.#.####..##.#...##..##..#.#..#######.##...#.#..###...###..####.#.#..#....#.....#.##.##.#....###.##.#.####...#......####.##.#.##..##.###...#......#.#...#..##.##......###.#.##........##......#.#.#...#....########.#...#####...#.#.........#....##..#.#.##.##.#..#..#.######.#.####.##..##.##########.##....#####.##.####.###...#....##.#.#..#.....##.#.###.#.....#..#.#......#####..##.####.###.#..###.###.#.######..##..######....#...#.##......#..###........#.##.##...###......#.###.#..##.##..####..######.##.#.#########.#.#.#.#.###....##.##.#.#####.##..#.####.##.#.##.#####.#.#..#.#.#.#.#.#..###.....####..##..##..####.########..#.##########.#..####.#.##..#.#.#.#.###...#.....###.##..#.#..##..#.##.##.##.#...#....#..#......#.#.##....#########.##..##.#.##.....#.#.######.##.#..##..###.#..###...##.##....#######.#####
####.##.#..#..##.##.#..####..##...###.##.##..####...##.....#.#.........#..##..##.#.#.......##.###.###..###.####.######.###......#.#####..##.##......##....##..#.#....##...###.###.....###..#.#######.##...#######.###.###.###.####.##..##.######...###...##..##..#.#.####.###.####..#.#..#.##..##.####...##.#.##.#####..#..#.#.##.##...#######.#.#...###.#.##..###.#.#..##.#####.#.##.#####.##.......#.#.##...#####..###.....##.##.###.#.#######.####.#####..##.####.##.#....#.#.#.#...##.....#.#.....#..##.#..##....#.#.####...#####.##..#...##.#####..#.#####.###...##...###.##.....##....####.#.##.##..#####......##....###..#..##...#....##.#.#.####...#.##.#.###...#.#...#.#.####...####.##..##...###..#.#.######........####.#.#########.##..##.###...####.##....#.......#...##..#.#.##.#.#.#.....####.##.##....####.##.##..#...#...###..........##....###.###.##.######.#...#.#####.###...###.###.##..##....##..#.##.###.#...##.#.####...##.#####.....##..##..###.###.##.#.####...###..##..##.....##...###..#######...##.##.###.#
#.........######.##.##..##..##..########..##.#....####.##.########.#.#.#.##..###.#.#.#.#####..##...##.##.#.#.............#.#.#.##...##..##...##.#.###..##..##.#.#.####..#...#..###.##...##...........##.#..##......##..##.#....#.#.###.#....##...#..##.###..######.#.#.....##########.#.##.##.##...##..#..#####..##..#.#####.#..#.##.#.......#.########..#.###..##.#.####......#.#.#..#.#######.#.#.##.#..#####.#.#.#####.##..#.##.#...#.####..#....#.....##.##....#..#...#.####...#.######.#.....######..###.####.#......#####...#######.###..#.#.###.##.....#.##..#....###.#####.#.########.#.....#..##.....##.##.##..##...##...####.##.#####.###..##..#.#..#.#...##.#####.##.#.##########...##.##.#...##.........###.####.##..#.#...##.#.#########.###.#..##...#.####.##.#.######..##.####.###.#.#.#.#.....#######...##.##....###.##.###...#############.##.....###......##.#.#.#.....#.....#...#...#..##.##.##.##.####..##..##.#####......#......#.#.#######..##..##..#######....##.#####..##..##.#####.#...#####.###..###.........#
####.#.#.##.#....#...##.###..##........#.##..####..#.####...##.....###.#.###...#.#.#.#..##.######.##.....#.####.#.#.#.#.##.#.#....#..##..##.###.#...##..##..#####....##.#.#.##...#####.##..##.############..##.#.#.##.#####.##.......#.##.#..###.##.#....##....##..####.##...#......###..#.#...###..##.##..#.###..##...#.######.###..#.##.#.##.....##.##.###...##..#......#.#########.......#.#.######.##...###........####..##..#######......####.##.#.######..##.##.##.####.#..###..#######.###########.##.....#.##.#####.###.#....##...####.......#.##.#.###..#.##.##..#...#.####.....##.#.#.##.##.####.#.##...########.#####.##....##.....###...####.#.#.##.##.#####.##..##.#....##....##.##...#.##.###.##.##.#...#....#....##.#.#......#.##.##.....#.##..#.#.###########.#....#.##...##....###.#.#...###...##....#.##.##.##..##.....####.###......#.##.##.######..#.##..#.#####.#######.#.#####.###.###..#.#..#####...####..#...###.#.#######.#.........#.####..####..###.###.#....#...##.#..###...##..#.######..#.##.....#.###.#.#
#.##.#.#....#.####.###...##.##..##.#####..########....##..#..####.##...#...##.#########........######.#.##.#....#.###.######.#.##.#.##..##..#.####.##..####..#.#..#####.#.#..######.#..###.#.....#.#.#.##..##..#.####...##...##.###########.##...####.##.#######..###.####.#...###.#########.#...#.##...##....#####..#.....###....##.#..#.#.###.#.##.......#####..##.#.##.#........##.#.#####.....##.####.#.....##.###....#.###.##.......#.#.##.#######....#######.##..#......##...##..##..##.........##...#.#.#.###....#.#.#.####.#..###...###.########..#...#.##.##..##...###....#.##.##....###...#..#.#.###..#.##.#...#....##..####.##.#.######.###...#.###..#...#.....##.##.##.#....##########.#.##...#.##..#.##.########.#..#####.####......####.#....#.####......##.###...########.####.#.##..###.#.#####..###.##.##.##.#####..###...##...#.######.#...#.#.##.#.####..##.##.......#..###....##...#.#.#.#####..##.###...##.##.#...###.....#####.#####.###..####....##......######.##.#######.##..#..##.#......#.##..##.############
#....####.#####....##..#.##.##.##......######......##.##.###...#######.#.#.##.#.#.#..##.#.#.####......#..######.#.##..##.##..#.##.#.#..####...##...##.##.###...##...#.###.##...#.#..##...###.#.#........#.###.#####...####.###........#.###.###.##....##.....##..##....#...###.######..##.##.#.#.######..#.####.#...###.##...#.#.###.#.####...###..#####.###...##..#.#..####.#.###.##.#...##..#.#.......###.##.##....#.#.##...#####.###.##.#.......#.#######.###.#..#.##.##.#..##.####..##....#.###.#..#.#.#####...##.#.........########..#.#..........#.##.#.#.##.##.##..#.....#########..##..####.##...#...##.#....#.####.#.#..###....#.#.....##...##.##...####.#...###..#.##.##.#.##.###.##.#.###..##.##.#..####........####.###.##....###.####.####.#.##.#.#####.#......#.#.......##.##.#######..##.#.#.####...#..###..#....####...##.##..#......##....#............########..##.##...####.####..#.#...#....###......##.###.##.########.##.....#....####.##....##.####.######.#..#........##...##.##.#..##.#.#......###.........#..#
##.#.##....#..##.#..##.###...###..#.#.##......#.#.#####...##.###.#.#...#.#.#........##..#.###....#.#.###.#...##.#.###.....##.#..#.####.####.#..##.###.##.#.#.#..#.#.....#.#..#.....####.####.####.#.###.#...#.#.....#..##....##.#####.#...#.#....####..#.#.#####..####...#..##....##..##...#####....##..##........#...#..#######...###...######...##.........###..##.##....#.#...#.####.#####.#.#.#.#####....#####.#.###.##.###.....#....#.#.#####........##.....##########.#.###....#.##..##.#######.#######.######..#.#.#.#.#...#.#..#######.#.##.#########.###...#.##.####.###..###.#..####..#####..#.##.##..#.####.##.######.##..#.##.#.#####..########.###...#######.##.##.#..#.##.#..........##.##.#####...###.##.##...####.#..#.#.####........##.#.##.......####.#.#.#########.#.....##.#.#..##..#......#####.#####.#.##...##.###...##.###.#######.##.###.##.#.#....##..#########.##..#....##########.#.##...#.#.##....#..#.....#.####..#######.##.##....#.##...##......#....#############.########.##..#.#.#.##.##..#.#.#.###.##
#..#..##.#...##..#.###.##..#.####.#.#..#.#.##.#.#..#.#..#..###.......#.#.###.#.#.#.####.#..#####.#.#...#####....###.#.#.#.#..#.##..#.#..##..#.#####....#.#...##.###.#.#.#.##.#.#.#..#.####....#.#.#####.#.############..##.#.#...####...###.##.#.####.##.#..##.####....#.#.##..##..##....####.###.#####..##.#.######.########.###.###..#.....##.#.###.#.#.#.########..##.#.###.#####......##..#.#.#.....##.#...#.#.#####..#..###.##.###.##.#....##.#.######..###...#....#.#.###...#.##.###.##...#.###...#.##......##.##.#.#.#####.....####.##..#.#####.###.####...###..#..###...##.#.#.#.##..#.##.##..##..#####.#..........##..#..##.#.##.#..########..#.#....###.......#..#..#.##.#.#....#.#.#.####..##..###..#..##..#.##.#..###.#.#######.###########.###..###.#....#.#.#..#.##.#.#######....#.#.#######.######.####..######..#.#....##.###..##...#.#.#.####.#########.#.##.##.#..#.#.....#####..##.#.######..##.##.#..#.#.#####.#.#......##....#.#####..##.##########..#.##...##..###....#####.....##...##.####.###...##.#.###......#
##.#.#####.##########..##.##....###.#.##.#.####.#.##...###.#########.###...#.#.#.#...##.##....####.##.##.....#.##.....###.##.#####...#####.##..##...#.##.##.###..##.#.#####..#.#.##......##.#...#...#.###....##.#......###.#####....#.#...#.#..#.#....####.##...#...##.#.#..##..##....##.......######.####..#...##.###.###......###.##.##.#####.#.#.#####.###......#.##..#..##...####.#.#..##.#.#.#.##.#######...#.....##.#.##.###..##..#####.###..#........####.#...##...#..##.#.#.##.#...##.#.....#.#....#.###.##...#####...##..#.#.......##.#.......#.#.#.####...##.##.#...#.............####...##..##.....#.##.#.#.#.#..##.#############..........##...#.###..##.##.##.##.#.#..#.#.#.####.#.#.#######...##.#.##..########.....#.#.#.#...##.....##.#...##...#.##.#.######....#....#.####.##...#..##.................##.##...#####.####.#...##..#..........#.###.#.#.######..#...##.#######.######.........#.##..##.##.#.#.....#.#.##.######.####.#.#.#.###....##....##.#.##.#####.#.#.##...##..#.#.##.#.#...##...######..#..#####.#.#
#..#..##......##....##..#..##.#...#.########....#.####.#.###.#..##...###.#####.#.#.###...##.#....###...###.#.#.##.###...######.....#...##..##.###.#.#....##...##..#.#.###...####.##.###.###.###.#.#.....#.#.##....#.##...#..##...#.##.###.#.##.#.##.#...##..#.#...#.####.##.##.####.#.####.#.#...#.....##..##.#............#.##.###.##.##.....###.#..##.....##.#########.####..#...##.###.##..#.#.#..#..#.####.#.##.##..#####...###.###...##....##.###.######..#######..####..###.#..#.#.#.#..###.#.###.##.....########.....#####.#.#.###.#.#..##.#.##........#####..######.#.##.#####.#.#.##....#..##.##.#######..#.#.#.##..#..#.#.#.##.#.##.#.#.##.#####.####..##..###############.###...##.#.......##..#..###..##...##.#.###.#.........###..##.##..##.##..#.#.##.#.##.#.##.#...##...#..#..##.#######.#.##.###.########..##.##.##..##.####.####.#.###.#.####.#.#.#.#..#.#.#.##.#....#...#.#........##.#.##.###..##..##.###.#.#.#.#.#.......#...##.#.#.......####..##.##.###.....##.....########.#.#########.###.#...##.#.###.....#####
##.#.##..#.##..##.#....##.##..#.###....###...#.##.#......##..##....#...####....#.#...#.#.#..#.####...#..###########...####.###.#.#.#.#.##.##....#.#.##.#.##.####.##.#...###..###.##...###.#.#...#.###.###.#.##.#.##.##.#.##..##.##..#..######..######.#.###.####.####.#...###....##.#....###.###...#######..###.#.####.#.#.#..#......###..##########....#.#.........#.#....##.##.###...##..#.##.###.###....#.#####..#..###.##.###.#.#...#..##.#.##...#........###.#####....##..####.#########.##..#...#..##.##....#...##.##..#.##.#.#.###########.####.#.#.####.####..#.###.#.#....#########..#.#####..#.......###.###.###..##.##..........##.#.#..#..##......##.###...#.###..##......##.####.#.#.##.##..##.#######..#.......#####.####.#.....######.#####..######..#......##.#.#..#.#...########.#..##.###....#####..#.#.##......##..#....###....#...###..............##........#.##...#...#.######..###.##...##..##..#.##..#.#.#.#.#.#.##.##.#........##.##..#.##.####....##.#.####.##.....##.#####..##.#.#...####.##..###...##.###.##
#..####.##..#.######.#..#.#..##...######.#.#.#.#..##.#.#####....#.##.#....####.#.#.###.###.##....##.###.#.#.#.##.####........###.#.#.#..#..##.#####..#.#.##....###..#.#..###...###..#..##.#.#.#.#...####..#.##.#.#..#..#.##.##...#.###......##.##.....#..#####.#..###...#.##..##..###.#.###..##..#.....#.##...#.#..#####.#.##############.......###..#.##.#.#.##.##...##.###...#..###.####.####..##...#.##.....###.###..........#.#####.#####.#..###.#.####.###......##.##..##....#....##......####.#.##..###..####.####.###....###.#......##........#.#.#.........##...#.#######.##.....####.###...##.#.##.#.##....##..###..#....#######.#####.##.####..#.#.##....#.#.......#####.#.##...##..###..#..##..#.....####.##.#.#.##..##.######.##.###.#.#.....##.#..####.#.##.#.##.#.####.#.#...###.#....##....#.#.###..#.##.#.#..###.####.#.#########.##.##...#.##.##.######..########..#.###.#....######..##..##.##..####.#.##.##.#.#.#.###.#######.####.#..#######.#.....##.#..###....####.#.###......##.#......#...##....####.#.##......#
##..##...#.##...##...##.###.##..#..###.#.#####.####..#.....##.###.##.#.##....#.#.#..##..##.##.#.#########.........#.#.#.########.#.#.#.##.##.....##.##.#..##.#...##.#.#.##.#.#...########...#.#.#.####.##.#..###.##.##.###...#.#.###.##.##.###.#..#.#.####.##....##...#.#.##.##..##...#...##..##.#.###.#.##.#####.##..##.#...........#.###.#.##...##.#..#.#.####.##.###....##.###...###.....##..####.##.##.##.##.####..###.#.##....##.....##..##..##.#...##.####.#.########.###.#####.######.#....#.#####...##......##.#..##.#.##...##.#######.##.#.##.####.##.#.#.#..#......##......#####.#......########..#.###.#.###...##...##..###..#.#...#..#....####.####.#.##.#.#.#.#..#.####..#.#..##..##.##.####.##.####.####..#.#....##.....######.........######...##....#########.#....#####.#.......#####.##.#.#.....##......##...####..........##.#.##..##.##..#..#......#.###...##########.#.##......#.####..#..##...####..#.##.###.#.##....##.##....####..#.###....#############.#.###.###.##..###.##....#.##.##.###.##.##.###.##.##.#.#
###..##.##.##.#.##.#..#..##..##.##...#....##...##...##.#####...##.#..#..###.##.#.#.####.#..##.#.#...##....#.#####.#...#........#####.########.#######..##.##.##.###.###.##...#.#####.##.##.##.###....#.##.##.#...##.##..###.####......####.##..##.#.#......#####.####.#.#..#..##.##.#.###.###..###...#....#....##....###.##.#.###.####..##.#####.##..#.####.##.####..#######....#.#...####.####...##..#.##..#.....#.##...#.#.##.#.####.#.##..####.##.#.######.#..#..#....##..##....##...##...##.###.###.#.#####.#.#....##..#.###..#.#......#.#.##.#.##..#.#..###########.##.######.#...#.#...#.#.###.....#.####...#.#.######.####.##...####.#.##.#############..#.#..#.#.####......##.###.##..###.##....###........########.#.####.##......##.##.###....#.############......#.#.##..#..#.###.#.#.....#..###.##.#.###.####..#.#....##.##.######....##.#####..###.##.#.###.....#...##.##..#.#..#.#.####...##.##.###.#....##.#.##..####..##.#....#####...##.##.#.#.######.#.#.#...###......##....#######.#.##..####...#.##..#..##..#.##.#.#
###.##...###..#.#####.##..#.##...###...##.##.#.#..#.####.#.##.######.####....#.#.#.##...##.####...#######.####......#.##.#.#.###.......##.......#.######..##.##.##..##..####.#.##........#.##.##..##....###########..##..##..##..##.#....#####.##.#.##.#.#..###....##.#.#.##.###.##.#..##...##...##.###.#.#.######.#.#.####.#..##......##...##.#.#####.##.........##......###.#.#.#.####....##..#..####..##.##.##....#.###.####.#...##.#####..##...#.#....##....##.##.########..##.###.##..###....#.....#.....###.#.#.####.#...##.#.##.##.##.####.#..##...######..#...##..####.##..###.....#######...#######.#..###....#.##.....#....#....#.###...##.##......##.#.#.##.#.#####.#####....#..##.#.###..#######.#.#.#........#.#..#.#.###.#.################.###.##.#.#.#.########.###...##..##.#.#.#.####..##..#.####.....#.##.##.#.#..##....##..##.##..##...##.#..#.#.....#########.....#######.#.############...########..#####...#########.#...########.....................######.#.#..##.#.......###.##.##....#.#..##...###.#####.###
##..##.#...##.#..##....####..##.####.###..##.#.####.#...........##.#...##.#.######..##.###..##..#....########..#.#.##.##.#.#...###.#.########.###.#.#####.#..##..##..##...####....##.#####.##..##.##.##....##.......####..##..##..#.##.####.#...#.####.###.##...##.##.#.###....####.##..##.####.###...#.#.#.....##.#....#.###.##..#########..#.#...##..####.##.#.###.#.####.#######....##.#.##.########.##..##..#.#.#####..##.#######.....######.#.#.##.#....#.###....#.#.##.#####..######...##.####.##.#.#.#..##.###....#.#.####.#.#...#.....#.####.##.####.#.##...########...###...##.##.....##..######.##.####...##....##.##.###.###.#....##.#.......#.#.#####.####.#...##......##.#.#.##......##...##..#.###.##.##.#.##.##...#...#######...........##....................##..##.###..#######.#..#.##..##.#..#.##.##################.#.####.##..##..###..#.########.#.....####..#####.#.###.#............##.###.##.######....#.....##....#.#........##.##.#.##.#.############.##.###.###.##.#.##.#....#.###.#####.##..#...#.....#..##
#..#####.#..####..##.#...###..#.#......####..#.##...##.#.###.#.##....###..#...##...##..##..##..##.#.##........##.#.##.##.#.##.##...#...##..............##.#.##..####.##.###....#.###.....#..##..#######.##..######.##....###.####.#..#......##.##.#.....##..##.##..#..#..##.#.###...##.##....##.#...#.#.#.#.###.##.##.###.###..##........##.##.#######.#....####...#.#.###...#.#.#..##..###.#.........#####.##.##.###.#.##.##....#.#..##.##.##.###.#.####.######.#.#.##..........####.##...####....#..###.#.##..#...##.#####....###.##.##.###.....##.##...........#..#.###...#..##.###...#.###.##.##.......#.#.####.##.#.##...#...#.#.#.##.#..####.###.#######.######..#.#..##.#.###########.#.##..##.####.....###...###.##..##.##.#....#....####.#.##....#.###.##.##.##.##.###.##....##..#.#.##.#.##..##..####......#####.......#.##.#.####....##..##...#.##.##.##.##.#######....##.......#.###.#.###.####.#............##..##.##.#.#####.#####.##.#.###.#..####.#######.###..#.##.######...#.#.#######.#.#....#.##.##.##.###.#.####..#
##..#.##.#####...##..#.#...##.#####.####.###.#.###.########..#..##.#...##.#.#.##.#.##.####..##.####.#####.#.#.##.####.####.#...###.##.####.###.#.##.#######.##.##..#.#...##.#.##...#.#.########....##....#.####.#..##.##...#...##.##.##.###.##.######.#####..###..###.#.###.#...#.#.##..##.#..###.#.###.#.#..#####..#.......#.###.#.#.####........####.##.#....###.###.....#.....##.##.###..##.#.#.##...##...#..#.......##....##...##.##........######...........#.#....##.###.#..#....##.##....#.###..##.#..#.#############.######.##..#...#.#.#.##.###.##.####.###...#.#.####.#....##.##..####...#.#######....#.###..#..#######.#...#######..#.#..####.#.....#.##.#.##.#####.###.#.#.#.#.###..##..###.####.#...###..##..#.##...###.##.#.##..#########.#####....#.##..###....#..##.#.##.##....#.#....##..##....#.##....#..#.#.#......#....###.###.###.###..........##....##...####..#.#.#.....#######...####.##.#.#.###.##.###.##.#..##......#########.####....#.........#...##.##....##..#.#.#.#.#.##..######....#..#.##..##.#....##.#
##.##........#.#.##.####.######............#####.###..#.#...#####..#.########.####.########.##....###.##..#.###..#.......#.#.#..##.##.##...##..#.##.###..##..#..##...#.#..###.###.####....##.###.#####.###.##.....#######.####.##.##.##.##..##..##........##..##.##.###...#.#.#####..##.##.#####..#...#.#.#.##.#.########.###...#.#.#.#.###.#####..##..#..#.##...#.###.###########..##...##.##.###..#.#..##.##.###.#.##..#.##..#.####..##.##.##......##.#.##.#######.#.##....####...#.###.####.##...########.#........##.#.#......###..###.##.#.####.#.#.##....#..####........####.########...#..#.........#.##....##.###.......#.#.#####...##...##..###...#####.##.####.....#.........#...###########...###.#.#...######.#..##.#########.###........##.....####.#.##.####.#.###..###..#....#.#####.########.##.#.###.#...##.###.##.########.....#.##...##.##.#.#.####.##....####...##.###.#.####....#.#..##..##.###..#######.#.####.####.#.#....#..###...##.####.#####.#...#.....###.##..##.###......#####.....#.###.#.##.##..#.#.##..#
#...##.#.#.###.#..#.#......#.##.#.#.##.#####......###.....#..##...##...#.#..#.#........##...##.##..##....######.##.#.#.#.#.####.##.##..##.##..#####.....######.#####.###.##....##....##.#.....##...#.#...#.#..###..##.......#######..##..##..#.#####.##.####.##..#......#.###...####.##.##...#.##.#.#####.#.............###...#.#####.....#.....#.##..###.#..#.#.#...#.........######..#..#.#...##.#####..#.#...##.###########.#....#.##...#.##.#.#.##..#.#........#.#..########..#.###...#.####..#..#.#.#.#.##.#####......##.#.#..###..##..###....#...###..#.###...###.#.##.##..........##.#...##.##.####....#.#.##...###.####.###.......#..#.#######.##.##..##.#.....##.#.##.#.#.#.#...#.....##.##.#.###...#.#.#...#.##.##.##.......##...##.##.#.###..######...###.....#.#.#.####...##.#.##....#####.#...###..#...#.##.##..#....#........#.##.##..#.#..######.#....#####.#......#..#######...#..###################.........###.#..##...#.##.#...##.#.####..##......#.#.#.##.##...#######..##..#.##.....###.#.####..#.##.###.#.#####.#
#.######.#####.##.#####.##....#.###..#.....######...#.#.#.#.#######..#...#.#######.##.#####.#...##.###.#.#.#....#..###.#.#...##.##.##.##...####.##..#.#...######......##..##.#..##.####.#######..#...#####.#####..####.##.#.......#.##..####.#..##...##....#..##.#.####.######.##.....#..#####.####..#.#####.##.####.#####..#.#.##.##.##.##.##.######.#.#.#.##########.#.##.##....####.#.#####.##....#.#.##.###..#....###.##.######.####.#.###..#.#..##.###.#.######.#.#####.#.####...#.#.....##.###.......#.##....##.##.#..#.####...##..#.####.####.#.##..##.##..#...#.#..######.##.#.###..##.###..#....##.#.##########.#.#.#####..#.#.######.#...#.#.......##....##.##..#..#.#.#.#.##.####.#..........####.#.#.#.#....####.#..###.#....##############......########.########...##.#..###..##.#.........#...##.#####.#########.###.##.##.####...#.##.##.....##.##.#.....####.##.##.####.#######.##.#.#.##.#.##....##.#.#.###.##....#####.####.##.##.......#########.##.######.##.####.####.######.###.##.#...#....#.##..#...#.#....##.#
#.##.....##..#..#..##.#..###.####...###.#####.....#...#.#.#..#.#....##.#.....##.....#..#.##.#.#..#.#...#.#...##.##...#.#.###.####...#..##.#####....##.###......#.#.#.####.##.#.##...##........##.#.#.....#.##....##.#####.##.#.#.##.###..#.###.####.###.#.##.###.####...##...######.#.##..........##.....#.####....#.....####.#....####..####......##.#...#.##..#....#.#.##.###.#....###..##....##.###.#.####...##.##.............###..###.###.##.#.#########....#.######..#....##..######.##.##.##..##.##.#..#.#####..#.#.##....##.###.##.##....###.#..##..#####.##.#####...##...##.######.##...##.#.#######.##.....##..........##.#.#....##....###...#####....##..#..##.##.###.#.#.##..#######.##.#.#...##.#####.##.#....#.##..##.##.#......#.#.#...##.#####.##........##.##.##########..##..#.#.#.##.##.#.##.....#..##.#.#.#..##.####..##...###.####..###..#.#..#.#.#....#..#.##..#.....................#.##.#######.#..######.#.##....##...##..##.#######.#....####......####....#....#......#...###..##.##.#.##.##.###.##.#########
#.##.###....###.#####...##......###.##......##.#.###.##.####...####.##.##.########.###....#####.########.##.##..#..#.###..##...####.#.#####.....#.##....##.#######.#.#....##.#.####..##.##.#.##..#.##.##.#..####.##.#.##...#.######...##...#####.#..##..#..#.##..#....#..#.####.#...#..##.##.##.#####.##....#.#.#.###.##..##..#.####.###.#..##.#####..#.#.#..##.#.######.##...#.##.#...##.##.##.##..##.#..#####..#.##.##.#.##.########..##...#..#.#....##.#...####.##.#.##...##..##...##.####.##.###.##.#####.#...#.##.###..#.#####.##...#####.#...#.##.###...##..##...#.#.######.##......#..########.##....#....#####..#.#.##.#.##.#.#.##.####.##.#.########.#..#####..###...##.###..##....#.##..#####.#.##....##.####.####.###..#.##.###.#.##.#.#.#######..#..#.##.###........##.#.#..#.######.#.#..#..#.#.##.#.####........##..#....#.##..#...#....##...##.###.##.#.#.#.###.#.##.##.######.#.#.###.##.#..........########.##.#.#..##.#..###..##........#.#...##....#.##.#..#.#.##.#.#######.####.##...##..##.#..#..#.##..##..##.....#
######...#.##.#...##..#.##.#.#.##....##.###..#.#.#...####....#.##....#.##.....##.....##.#..##.....#.####.######.#.##..##.###.#..##..#.....###.#.#.###.#.##.....##..#.##.######..##..###..#.#####.###...######.........###.##.##...##.##..#.#.##....####.##.#.#..##.#.###........##.##.##..##..#.....#..###.##...#..##.###..#.##........#...###.....##.#.#.##.......##..#####.#####.######.##.#...##....##....##.#####..#.#..#....#..###....####.#.#.#.##....#..##...#.#....####.####.###..##...###....#....##.#.#....#..##.##...#.#.####..##...##.####...##.#..##.##.#...#...##....##.#.#.##........####.####.##.....####.#..#####..#.#.##...##............##.##.....##.#####.##.########.#....##.##.##.#.##.#.###..##.....#...##.####..####.........##.#.##.#.##.##...#.##.#.#..#.....##....#############.#.#..#....##.##.##.##.###########.##.###.#.#..#..#..###########...#.####........######...#######.#########.##.##...#.#.#.##..##..###..##.#.#.###...#####.#########...#..#.......##.....#..##.##..##..##.#.##.###.###....#.#.#
#...###.##....#.#####.#.##.#.#..#.#.##...##.####.#.#...###.#.#.##.#.##..##.##..##.##.##.##.##.#.###.#....#......#####.##.##..######.####.###..#.#..####.#..##.##..####.....###.####...#.##.##.#######.###.##..#.##.##...#.##....#.##..##.#....##.#.##....#.#.#.##..#..###.########..#.##.####.#.#.#.##...#####.##.###..##.######.####.###.##.#.#.###..###.#..#.#.#....###.##...#.#..#...###########.##..#.#.##..#.##..####.##.##...##...#.###.#####.#..####.##..#.#.....#####.###.#####..####.######.##.##.##.#.#.#.###.#...#.#...#...########.##...####..#.##.##.#..##.###.##..##..#.#.#.##.#########.....##..#.#.#..##..##....##.##.###..######.##.########.##.#####......#.##....#...####.####.....#.#.##.#...######.#.##.###.....##....##.##.#.###..#..#.#.#####.#.#..#.####...#.#####.#...##.#.##.########.##.#..#######..#...#.##.#.####..##..###.##.#####.#.##.#.##.######.##.#.###...#.#######..##....#######.......#...#.#####..##...##.##.###.....#.....#####.....##.###.#.#.##########.##.######..##.##.######....###.#####.#
#.#......##.###...##..#.#..###.##.#.##.###....#######.##...#.#.##.#..#.###.##.##..####...###..#.....##.########.##....##..##....##.....###...#####....####.##.##.##.###.####......##.##..#......#..##.#.#..####..#.######.##.#.######.#..#.####..#..###.####.#..##.#.##.#.....###..##.##.#.#..#.#.#.#..#.....#.##...##..#...##......#.##.....#.#...##...###.##.#.##.#.....##.#.#.##...####.#........##.####..##.#.#####.####...###.##.#.#......#.##.##..##...##...#.#.#.............#.##....#....##..##..#..#.#.###...####.##.#.#.##.##......#.#..#...#######...#.##.##..##..#.##..##.#.#.#......###.#.#####..###########.##.##..####...##....##..##........###....###.#.##.#.###.#...####.#..##..##########.#.#......#.#..#..####.#..##.###...#.#..###.#.##.#..###..#.##.#.##.##.######.#.#.####.........#.##...#.##.......#.##.#...........##..#####..##...............#.........#.#...#.###.........####.#.........####.######....##.####.#####....##.#.##.#.#..##.##.#############..##.#.#########.#.#..##..##.##.#####.##...##..#.#
#.##.#.#.##..####..####.##...#.##.#.##...##.#.#.#.#.#.##.#.###.#..##.#...#..#####....#.#...#.###.#####.#..##....##.#.##..####.#..###.#..##.#.#.#.#.######...#..###........##.##.#.#...##.#.##.#...##..#...##....##......######..##..#.##.#....#.######.....###.###.###....###.#.#####.##...########.#.####.###.###.###.###.##..#.#.##..##.#.##.#.#..##.##....#.######.#.#..#.#....###...#..#.##.##.##....######...........##########..####.#.#.#..#..##..###.###.##.#.######.##.#.###.##.##.#.#.####.##.###.###...#######...#.#.#.##....##.######.#.#.....#########...#.##..##..##..#.#.####.#####.........##..####.##.####...##....##.##..######.##.#.######...##...#.###..#...###.#......######....#.#.#.###.#.####.#.#.#####.#..#.##....##.#####..#.........##.##.###..#.....###.#..#.###......##.##.###.########..#.#.#.#..#.#.#.####.######...##..##..#.#.#.######.##.##.#########.##.....#.#.#.#..##..##.#.#.##....###....######....##.....##.###..#.#######........###.#.#.#.#####.........#.##...##..##..#.......##.#..#....##.#
#.#..#.#..##..####.##...#..#.#.##.#.##.#..#.#.#........##########.####.#.##.#...##.#####.#.####....##..##....#.###.#..##.##...##.#...#.##..#.#.....#....##.##.###..##.#.#.#...#.#.##.##..####.###..##...#..##.#..##.#.#...#.###....#####.##.###.##...#.#.#####...####..##..##.......#.##.#........###....#...#..##.##....#####.#.#.#####..#..#.###.###.#..##.#......###.#.#####.#..##.#...####...#.##.##....##..#.#########.##.#.##..###.#.###...#######...###...##.#......#..###.....#..######....#.#..##..##..####....#.#####.######.##......####.##.#.##.#.....##.######..#.########.#....###...#.##.########.#........##.##..#.###..##.....##.##.########.#############.##########.#.#.....##.##.......##..#.##########.###...##.##.#.##......##...######.###..#...##.#.#.#.......##.####.##.#####....#.#.###..###########.###.#..###....#.##.##..####.#####....######.##.........#####################..#####..#.##.....#####.####.#..##.#.##....##.#....##.#####.##...#...#.#.......####.##......#####.#..##.#.##.######.#.#.#####
#.####.#.####....#.##.###.#########..###.##.#.#####.#.####...........#.#.##.#.#....##.##.#..##..#.####.#####.#.##..##..####.#..###.#.#..##.#.#.##.##.###########..#####.####.##.####.###..#.#.##..####.#########.#..###.#.#...######.##...#...#.####...#...#.#.#.#....##..##..#.#####.##.#.#.##.#..##.#####.##.###..##.#...##..###...###.##.##...#.#.####.##.##.#.#..####....#######..###..###.#.#.##..##.#.###.#......###........#####....###.###.###...#..##.#..###.###########.#.#...##.#.#..##.####..##.###......#.##..#.##...##....##.#.###.....######.#.###########.####....##.#######.....######....#.#.#.#.#########..####...#.####.#####.#.........####..#.#..#.##...##.......#.#.##.##...#.#.#.#.##.##..............##.##..##.#####.##.##..########...#.###.##..#.#.###.#.###.....#.####...##.#.......#.#####..#.#.#...#.##...####....#..##...##....##.##......#.###.#.##.####.###.......##.##.###.....#.##..#.###...#.....##.#####.#.##.#.###.#.##........#.#..###.#.....###.#########.#.#.####.###.###.#..#......#.#.#..#.##
####...#..##..#.#########.#.#.#...##.##...#######...#....####.##.##.####.##.#.##.#.....###.####.#.##....##...#.##.####....#.#.##...#.##.##.###.##..............####.......##.#...##....##...#.##.##..#......##.#.##...#.#...#.........##.######.#.###.####...#.#####.##..##..##.....###..#.###..#####....##.#....##..#.#.#.##.##...#...#.##.##.#.###..##..#..##.####....#.####....##.#####...#.###..#.##..#...###.###.##...#.##.###.#.##.#...#.......##.###.#..#.####....##.##..#.#.##.###.#.##..####.##..#..##.##.#.#####...##.#####.#.######.###.#..#.#......#...##.#.#.#########....#.#...#.#..#.##..##.................##....#####...##...##..##.#.#.##..#...##.#.##.#########.#.#.#.###...##.########.##.##.###.##.###.####..##.##....##.#...##........#.#.....#######.#######.....#.#####.#..#.##.#######.......##.....#.#####..#...##.#.###.##.#..##.#..###..##.#.#..##.#.##........#.########.#....####.#####.##...#.#...######.##....#..###...#.#..#.#.#.####.##.....#####...#...#.....###.#......##....#.#.######.##.#.##....#
###..#.#.###.##.#.####..........#..#####.##..##.##.###.#.#....#..##.#########.##.##.##..##.#....#####.#.#..#.#.##.##...##.#####..#.###..##.#...##.#.#.#####.##.##...#.#.#.#..#.#..##.#.#..#.#.#...##...#.##.##...###.#####.###.#.####.#......####.......###.##.##....#..###.###.#.#...##.#.####.##....#############.####.#..#..##.##.#.####.##.#...##....###..#....####.#......##.##.....##.##..#####.#..##.#.#.....#....#.###........##.###.##.#.#.##....####.####...##.......######.........##..##..###.#####.##.#...##..###......#.#.....#..##..##.....#.#.##.###....#.#...##..#.####...#.#.##....########.#.##########..#.##.....#.#.##.#####.##.#.#####...#..#.......##.#.###.#.#.#.#######.........#..####.###.##...#....####...##.###..#.#.##.##.#######.#.#....#.####.....#.#.#.#..#.##...##.##......##.#.#.####.#####.....#.##.####.#.##..##.#.##..#.##...########..###..##.###.#...##.##..#.#.##....#.#.#.######.###.#......#.##.#.###...##.##.##.#.#.#..##..##.#.#.....##.####...############.#####.#.#.#...###########..####
#...##.#...#.##....##..##.##.#######......##.....###...#.###.###.#...#.###..######...##.##.##.#...##..#.##.#.#.##.###.###...##..##..##.##..#.######.#....#####..##.##.#.#.##.#.#.##..#.##.#######.##.###.######.##.#.#.##...##.#...#####.#.#..##..#.#.#..##..#####.#.##...#.##..##########.#.##.##.#.###..........#....#.#.###.##..#.#.##.###..###..##.###...##.##########.##.#######.##.##.###..######.##..#.##.##############.##.#.##....#..#.#.#####.####.#....##.####.###.##.#######.####..##....##.......#.#..#.#..####.##.##.#####.##...####.#..##.####.##.#.##.###.#.####.##....##.##.#..##.###.#...####....##.#######..##.#.##.#.##....#####.#..##...#.##...#######..#...#.#.###...####..#.#.#.####..##....###..#.##.#....##.###...##.#.#.##..#.....########.#.#.#.###.####.#.###.##....#..###..##.#..#.#.#.......#.###.#.####.....#######.##.#.##.##..##.##...##.##..##.##....#.#.#.....##.....#######.....##...#...#.##.#.########..##.#.##..#.##.#.#.#.#########.##.#.##....######...#...##.####..#.#.###.#........#.###...##
###.##.#.#.#..##.#####.#...#.###.##..#.##.##.#.#.....#########...#.#.....#.####....###...######.#..##.#.##.#.#.####.....##.##..####.##.##.##..##....#.##.....####...#.#.###..###..##.#.#.......##.#...##....#.#.##......#####..#.#..##...#.#####.##.#.##..#.##.....#.#..#.#..##...####.##.....#.##.#.#...##########.#.##.#.#.#.#..##.#.....###.###.##..##..#.##..........#.##.....##..##.##...##.....#####.####......#........######.####.##.####..##....##....#.##..##.#...#.....#.#.####.##############.#.#.####.#.##.......#..#...##...#.###....#.##....##..#.#.##.#.#.#.........##.##..#.#.##........#....##.#..........#######..#.#..#.##...##..##..###.#..#.#.....###.##.#####...#.#....####.#.#....##..##.######.#.##.#.#.######..#.#..#######.####.##.....######.#.#...#.###########.##.##...#.#####.##.#.#.###.#.....###....#.######.#....##.#.#...##.##....#.....#.###..###.##.####.##..#.#####.#.#.###.#.#..#.#.###.##.#....#.##..#####.##.##..#.#.###.###.#..##..#.#..##.#..####..#...###.......####..##.#.########.....#..#
#...##.#.#.#.###...######.##......##.#.#...#.####.##....##..########.###....#.####...###...##...#.###.#.#..#.###.###.#.##...##..#.#.##.#...#.######.##########..##.##.#.####..###.##.#.##.#.#####.#.#..#.##.#....##.#.#..##.#.##.##..##.##..###..##.#.#..##.####.###.##.#.#####.#.......##.#.##.##.#...#........###.#.##.#...#.#.######.##...#...####.##..##.#..##.#.#.#######.##..##..#.##.#..#.#.#.....####...#.##...#.#######.##...######....##.###.#..####.#####..#.###########...#.##...#.#.....##...#.#...##.#.#####.#.###.#.#..##.##...##.#.#####.#####..............#.#.#.#..#.##.####.#..##.#.#.#.#.##..##.#.#.##.####...#.##.##.###..#..######.##..#.####.#.###.#......##########.#...##.#.##.#..##.#....#.###########......#######....##......#.##.#####.#.##.#...#...........#.#.######.##.....#..#.###...#.########..####........####..#.#.#.#.####..#.###.#.##...##..##..#####..###.....###...#...#.#...########.##.##.#....##.....#..#.##.##.#.##...#....##..##.####..##.#....######.##.##.#....##..#.#........#.###.#.##
##.##..###.#.##..#..#.##..##.#.#####.#.##.##.#.....##.#####............##.#.....##.#...##.#####.#...###.##.#.##......#####.##..##....#.#.#.#.#...............##....##.#.#....##.####.###..#.....#.####.#..###.##..###.##....###...##.##.###...##.#..####..#...##.###.#..#..#..#.#.#.#.####.#..#.#..##.#########...#.###..#.#.#.#.....##.##.###.#.###...##..####.#########.#.########..##.##.#.##.#.#.#.#..##..#.#.##.#.#.##.#.#...###....#.##.#..#..##.#.##........##....###.###....#......###.#.##.#####.#.##.#####...#####..######.##...#.#.##.#.##........##.####.##.#.#.#.#.#.#.####....##.##..#.#####.#..##.###########..##.########...##.##....#.#.#..####.##.####....##.#....##.##.####.##..#..###.###.#.##...#..##...####.#.#..###....######.#.#.#..#..............####.#######.##.....#.#######.######.###.#.#........##....#.#.##########.#.#.###...##.####.#.#.#######.####..##.##...#####...##.##.#########.#.##.##########.#.###.####.##.#..####.##.#...#.##..##.....##.##...#.##.#.##.....#.#.####..##.#.#.#.#.##.##..#.##
##..##...#######.##...##.##..#.....#.#.##.##.#####.#...##...#.######.#..###.######.##.###.##.####.#...#.#..#..####.#..#.#...##..##.###.#.#.#######.#.##.#.#.####.#..######.#.....##...##.##.#.#.#.##...#.##....##..##.#..#.######.#...#...#.###..##....##.#.#.##.#...##.##...##.#.#.#....#.#.##.##.##......##.##############.#.#.#########...#.#...#.#..##.##.#...........#....#..###.#####.####.#.#.#.##.###.#.#..#.###........#...##.#....#.##.##..#.####.##.#.#####.#.........#.##.#.##.......####...#.#.##.#.##..#.....##.....##.##.#####..###.###.#.#.#..#....###..###.#######...##.#.##..#..##..#.#####.##...#..###.##.##......##.##.##...##.#...#.##...#...#......####..##.#.....#.##.#######.##.....#.#.##.#...##..###..###.####.####......#.#.#.##...######.#.#.#....#.##.##.###..#####.#.#####......#...#.#.#.##.###.##.##.###....#.#..##.###.#...###.......#.#.#...#.######.###.##.#...####.###.#...#.#.####.......##.##.#.#.###......#.#####....###..##.####..####.#.##...##.##.......#.#######....##..#.###.#####..###.#..#
#..##..#..#.#.##..###..###..##.#########...###.....#.#.##.#.#.#......######...##.###..#......#.#..##.##.#.#####....##...##.##..##....#.#.#.##......####.#.####...####..##..#.#####..#.##..#.###.#.###.########..#.#####.####...########.###...##.####.###.#####..#.#.##.#..#.##.#.#.##.###.###..##..##.#.###......###.###.######.........#.#.#.#.#.#.#.##..#....###.##.####.##...##.....##..##.###.###.####...###.##.##..#.###.##.#..###.####.#...#.##.#.....#.#...##..###.##.#######.############....########...##.##.#.###..###.##.##..#.######....###.###.####.#####...#.##....#.######..#####.###......##..##.##.##.#.##....###.##..######.###.#.#.######...#######.###########.#.#.......#.#.#####.##.####.#..#.#....##.#.####.........##.#.#####.#.##.#...#..#.###.#.#.##........##.###.......##.#.#.##.##.##.#.####..##.#########.####...##..###.#.#...##.#.########.###.##.##.......#.#.#....#.......###.#....#.########......####..#.#.##...##..##..##.##.....#####...#.###.###.####.###.......###.#####.##.##......##...###.##
##..#####......##..##.#####.#......##.#..#.#####.#.#.#.##.#.#.###.##......#.#......#####.#.###.##.#######.#.....##..##.##..##.####.###.#.#..######.##.#.#.##.###...###.#..##.....#.##.##.##...#.#..##....#.#...##...##....#..###.#.###....##.##..#....##......##.#.###..#.##.#..###.##..##...##.##.##..#.....#.####.........##...##.######.#.#.#.########.#####.######.......#.#.##.#.#..##......####.....#####....####.##..##..#.####......###.#.#..#.#.#.#.#########..##.##.....#.#####.########.########....#.##.#..#..###...####..##.....#..###.##.....#.##.......##.##....#.##..#.#...##.##....##.#.########............########..##.#.####.###.#....##..#.##.##.###...#.#...#.#.#.##.##.........####....#.##.#.###.###......##.#.#.####..#..#.####..###.###.##...#.#.#..##.#.#.###......#.#.#....###.##..######....##.##......#..#....#.#####...#.#.#.#.####..##.#.##.#.......#.#.#.#.#.#.#.#.##.##.##.......####.##.......##.#.##.##.#.#.##.#.###.##.#######.#.##.#.#####..##.##.....#..##.#.#####.###...########.#.#.#..#...#..#
###.....#.#.#.####.##.##..#.##.###.#..####.....###.#.#..###.#.#...#..#.####.##.######....#..##.......##...##.#.###.###..##.##...##...#####.##.........#.#....#.##.##.....##..##.##..#.#...#.#####.###.#.##...#.##.#..##.#...##.......#.##..#..#####.#.#..#.#.##..#..##.##.#####...#.##.#####.#####..##.##.##.###.###.######.##.#..#......#####.#....##..###..........##.##.##########.##..#.#.##..##..#.###.###.##..##...##..#.##..#.####.#######.####.#.#.#.......#.##.##.###.##................#......#.######..#.##.##..####....#.####.####.###...##.#.##.##.##.#.###..###.########.###.##....#.###.####.###...##.####.##.......###..#...#.##...#.#.##.###.#........#..###...#.#.#.#.##.##.#.#.#####....#.##..###..##.....#.#.##..###.###..###.#...###...#.###.######.#.#.##..#.#.....##.#####.##.#.##########.####.#.##..##.#.###.#######..#..#.#######.#...###...........#######.#.#.#.###.#.#.##..#..#.#.#.#.........##.#.#####..#.##.###..#####....###.##.#..#......#.######..#..#.#########...#....##.#####.####.#.#.##.#.###.##
###.#####.#.#.#....##..##...##..#####......#.#.##..#.##.##..#.###.#.##...##..#......##.#.#.####.#.#.####.##..#.#...#.##.#...##.###.#..##...####.#.#.#####.##....####.#.#..#.##..#..#####.##....##...#####..#.#..#.#.##..#.#....#.###.###..###...##..#.##.#.#..##.#.##..#....##..#.#.##.#.##......#.##..##.##......#....##.######.###.#.#.....###.##..##..######.##.######...#.#.##.######.#.#.##.####.###.#.....##.###.#..####..##......#####..#.....#.###.##.######.####...#######.###.##.##.##.#.######.#.#####.###...##...###.###...##........##.###.#.#...#.#..#...#.##..............#.####.##.##.........#.#.##.######..#######.#.##.###....#####..#...###.##.#.###.####.#####.#####..##.#.#.....###.##..##.###.##..##.############...#.##.....#.#...#.#.........##.#.#..##.#.###.#######.##..###....#.###.#.#..############......##.#.#.##.##....#.#..###...###.#.#.#.#...#.#########...###.#..####.##.#.###.##.###.#####.....##....#####.###.#..#.###.....#######.###......#.##.##...###..##.#...##...........##..#.#.##.#..##.##
##.....#########.#.##.#####..#.##..###.#.#.#####..####...##.#.#...#.####.##.##.####..###.####...#.#.##...###.#.###....#.##.###...#.##.####.#.#..###.##.##..##.#....#.#.#.##.##.###.....#.###.###..#.....##.#.#.##.#.#..##.#.##.#...#.####...#.#.##.####..####.##.#..##.#.#.##..#######....#.##.##########..#.####...#.###.##.#...##..#.#.##.##....#.####..#......#....#####.....#...##..#.###.##....#####...#.#.##...#.##....##.###.###.....##.#.#.#.#...###...........##.#.....###...#..###..##................######.##..#...#########..#.#.#######...###.######.#.#######.#.##.##.###.#..###.####..#.#.###.#.#.##.#....##.###.#.#........#.##....###.##.##....###............##......##..###.#.#############..#...###.##.......##.....###..###.###.#.#.###.#.#.#.###..###.##..#...#..........######.#.##.#.......###..#.#....####.#.........#..#.####.##.##..#..##.#.#.#.#.#.......##.##.#.###.##...#####.#...#..#...#.##.############..##.......##.#.....#####.#...#.....####.#..###..#.....#####.####.###########..####.#..##..#..#
#..#.#.........#.#..#...##..##....##.#.###....###....##.##..#####.#...##..#..#..####.##...#.###.#.###..#.#...#.#...##.#.#..##..#.#.##..##..#...##.......##.##.##.###.#.#..###..#.##.#.##.#.....#.###.####..#.#.##.#.#.##..######.###...##.#.#.#.##..####.##.#.##.#.##..#.#..##...##....####.##.....#.#....##...##.###........##.####.##########.###..#.##...###.#####.....##.####.####.##...#..##.#..##.###.#####..#.#####.#.##..##...#######..#.#.####.##...##.###.##..###.###...###.##...######.#.####.#.########.##..##.#.#......##.##.#.#..##.#####.##.....#.###.......#.#.#######...##.#......##.#.#..####.#.#....#.##..........#.######..######....#####.#.######.##.##.#####.#.#..##...#.#............#######.#.###..#####..##.##...##.##...####.#..##.#.#.##########..##.#.###.#.#.#.##.##.#.######.#.#######.#.##.###.###.#.##.#.##.#...####..#..###..###.####.#.#.#.##.#.##.....#.#.#.#####.##.#.##########.###.....###.......##..##.##.####.#.#.#...#.#...#.#.#.#########..##.###.#.###.##....#...#.##.#####...##.##.##.##.##
#.##.#.#.####.#####.##.####..#.#.###...##..#.##...####..###.##....##.####.#####....###..###.#.#.#...##.#.##.##.###.##.####.##.##.#.##.####.##.###.#.#.#..#..#..#...######.####....#.#..#.##.##.###.#..##..####.##.###..##....##....#####..#.#.###..##.#.....#.#..#..####.##..##.####.#...######.##...##.#.##.#..######.#####.##....#......##..#.##..##....#.##......###.#.#............###.##.##..#.##......###...##.....#####..##..#.........####..##..####..#...#.##.##.....#.#...########.##...#....###...........##.##.#.##.#.#.....###.##......##...##.####.....#.#.#.###.......######.#.#.##.##.#.##...##.#.##.#.#.##.#.###.####..#.....####.#####.##....#....########.....####.#.##..#.####.#.#########.###.......##...######...#.#.######.##..#.##..#####..........##..#.#...#.#.###.##.......#.#.#.#.....###.#.#..........#.##.#..###.#..###.##.####.##......#######..#.#####.#.######.##.##..............##..####.#.....#.######.###.#.....#####.#.#.....#.#.#.#........##.##...##.###.#..#.######..........#.####.##.####...#
#.##.#.#...######....####.#.##.###.#.#..##.#..#.#..#.##.#...##.#.##..##....###..##..#####...#...########.##.#..##..#...##..#########...##..##.##..###.#####.#.##.#####.......#.##.#.##.#.##.##.##....####...##.#####..##..#.####.############...#.##....##.#####.##...####..##....##.#.#..###.#####.##..#.##.##......#....####..#.###.###....########..####..###.############.##.#####...#.##..#.##..##.#.#...#.###..#.#....##.####.##.########....###.##.##.###.####..###.#.##.#.#.......#...##.##.#.#####.###.##.######..#..#.#.##.#.##....#.#######.###....##.#.#######..###.#.#.##....###.#.#...#####..###..#.#..#.####.#...#....##...#.#.........##.#####.#.##.......###.##..###.#.########.###...#.###.#...##.#.#.#####...#####.####...##......##.###..#.#####.##.##.#####.#.#.#.#####.##.#.#.#.........#####.#.....#.##.##.#######.#######.#.#.......######.##...##.###.#....##.#...#.#......#.##.###.##.#.####...####.##.##......#.##..#.#.####.##.#.#.#.##########.##.#.##...#####........##...#.##.###.##.###....#.#....##.#.#
#..#.###.#....##..#.###......#..##...#.######.#.##....#.#.#.##.####.######...##.###.....###...#..####.##.##.#.######.#..##.........###.#..##...##.##....##..#..#..##.#.#.#.###.##.#..#.#..#.##..####.##.#.###......##..##.######...........###.##.#..##.##.#.#.#.##.#....##.#..##..#.###.##.#.##.#...####..#####.#.#.##.#....##.#..##..#######...###########.##..........##...##..#..#.######.########..#.##.#######.###.#####...##.#.........####...#.##.....##....####.#.#########.##.#...#..###..#....##...#..#.#.#..####.##.#..########.##...###.###...##..###.......#.##...###....##...#.#.#.#....###...##.#.#.##....###.#.#.##..#.#####.##.##.####...##..#.####.#.#..##..##...###...........##.#.........###..#.#....##.#....##....#.###..#.#.#####.##.......######......#.###.#..#..#..#.#.###.###.#.#.##.#....##.##########.##.##......####...#.#.#####....####.....##.#.####..#.#.....#.#.##.##...#..#.#....#####.###############..##.#.#..##...#.#.###..........###########.....##.#.##.#####...##...#.##...#.##.###.#.##..###
#.##...####.#####.#.##..#.##.##..##.##....##..#..##.#.#.#.#.#..##....##....#..#...##.#.##...###.##....##.#..####.....#.##..###.###..##.##..###.######.########.#.##....#.###....#.#.####.####..##....##.....##.##.##..##.....##..###.#.#.###...##.##..###......#.#..###.######..#######..........###....##..##...######.##.#.##.#.####.........#.#...........#..#.#.#.##..###..##...#####...######..###.#.#....##.#...##...#.##.##..##.###.##..###.#.#..##.#.####.######...........#..#.######...#.##.#.##..###.##.#...##.#####.#.###.#.#.###..#......##.#..#.##...#.#.########.####.########.#.#.#.##...#.########..##.#######.#..#.##.....#######....#.#.##.##....#.#.#.######..##########.####.####.#.#.##########.#.####..#.####..####...#.##.#..#.##....#.###......########...#.##...##.#######....###.#......####....##.##.#......#.##.#...#..#####.....####...##.#.#.##.#....#.##.##.##.######.##.########.##...###.#.#.##.##.##.########.##....#####...##.###.#.#.......##..##.#.##..#..#...########.#####..#.#######..#..##...#
#.##.#####..#.#.#.#..##.#..#.#..###.##.##..#######..#.#.###.##.###.#..####.#.##.#..#.######..##....##########....##.##..##.##....####...#####....##.....#.##.###.#..##.#######.##.#.#.#.....##..##.#.###.#.##...#.###.##.##.####..##.#########.##.#..###..#.#.#####...#.....###...#.##..##.##.#.###..######.####......#.#########.#####.##.#.###.##.##.#.#.#.##.#########.###.####.##...#.####.#.#.##.#.###.#.##....#..###....#.#..##....#####.#.###.#.#####.#.#.......#.#.#.#.#.#.#.##......#.#.#.####.###.#.######.####..##.###.......#...#######.#.##.##.#.#..#.#.#......###....####.....#.#.#.####.###..#.##.#####.......#######.##.######..#.###.####.##.##.##.#.###..#.####.##.......#...##....#####..###.....#.#....##.###..##..###.######.#.##....#.#############.....##########.#####.#.#.###.##...#.#.##....####.........####.#..#.###...###..##.##.###..###..#.#.####.######..##..#......#..#.....#..######...................###.#######.#....##.#.##.########.###.##..##..#####.######........####..##.####.##.##.#.###.#.#
#.#......##.....###.##..#.########..##.###.##......####...###...##.#######.######.##...##...##..##...##.......##.#...##.##..##.#..#########.##.#.#..#.#........#######.......#.####...##.#.####..#.###...#.###.##.#....#.##....##.##.......##..##.##...##.#.###.##..###.#.###...#...###.##..#.#.#.##...##.....##.######...#.#.##...####..#.#.#.#######.#.###.#....##..#.###.###.#.....#..........#....###...#.#..##.##...#.#######.#..##.....#.....#####.......#.#.#####.#.###.#.#.#.##.#.####.###...##...#....#.##.......##..###.##.####.###.#...#.#..####.#.##.#.#.#.######...##......#.#.#.#.#.#......##.........####.#.#......##.##..###...##.#####.##.#...#..#.#...##......#.#..#.##.####..#.#####.#..##...##.##.#.####......####...####.#.###.##.##.#...............#.#.#......#.#...##.......##..#.#.#.#..#.####.######.#####.####.##..###.##...########.##...#.##.#..##....#.##.##..##########.#.#.###.###.######.#.#.##.##.####.......##.#..#.##.##.#.##...##.##....#....####..#.##...#####.#.#.#......###..##.....##.#...###.#
#.#.##.#.#..######..#..##.#.#.##...###..##..#.##.#..##..###...###....##.......###..##.#####.##.##..#..##.###.##..###.##.###..#.##.....###....#.####.#.#.#.##.####......#########.##.#..#.####.##.#...##.##.#.########.######.###...#######..##..#.#..#.##.#..#...#.##...#.##..###.#...#.#######...##.####.#.###.......##.##....#.#..##..##.#....##.##..#.#...##.#....##.##...#..##.####.####.#.#...##...##.#####..#..##.##.......####.##.#####.#.#..#..##.##.###.#.....###...#.#.#.######...##...##.####.###.#......#.#.#..#.##.###.............#####.###...#.##.###.#......##.##..#.#.#############.#.#..###.##.#.##....#.#.#.##..#.###.....#.......#...#.##.##.####.###..#.####...##.##.#.#####.......##....#.#..####.#####.#.#.##.#.#.........##.##.##.#.#.#.##.##.##.##.#...##.###...#....#.#.#..#.##.#.#.#.##........###..........######..##....###.##.###....#####..#.####.###.##..##.........########...........##.#.#..#.##....##.##.#..#.#.##..#..###.#..#.....##.########..####.#..#..#..#.#.#.####.#...##....#.#..###.#.#####
###.##.####...##...###.####......#...##.##.####..#.####...#.#.#...#.###.###.###.##..#.##....##..##.#.#########..##....#.#...##..#.#.#...##.#...#....###.########..##.#...####.##..#.#.####.......#.#.##.#.....#.##........##.##..#...##.###..##.#.#######.##...###..###.#######...##.##.......#.###...##..#...##.#.##.##....#.##.#.####..######.....##.#.###..#.##.####.###.##.#######.....#.#.##.####.##...##...###.####..#.##.##.....#.....######...##..#....#.###.###...#.#.###..#.##..#..##.###...##..##.#.##.########........###.##.##.###..#.####.########.###.##.######..##.###.......##......#.####....###..##.#.#.#.#..##.#...#.##.####.#.#...#.#.#...#..##....####....##.######......##.#.##.###.#.##.##..##......#.#.#....#.##.##.#.#######.#..###.#.##.###########.##....##.###.###.#.#.##.##.###.#.##.#.######.####.##.####.###############......####.....##.#....#......#####.#########.#.#.####.############.#.########..#.####.##.###..###...#.##.#.#####.......####.###..##.##...######....####.##..#.##.#.##...#.....#
#....#..##..#.#..#.#......##.#.#.#.#..#.##..####.#...###.##.####.##.##...##......#.##..##.#.##.###.#...##...###.####.#####.####.#####.#.######.##.#..##........##.####.#.........####.####.####.####.#####.##.#.#####.#.#..#.##.##.###....##..#.###.......###.##...##.#..##.....#..#..##.##.###...###..##.#.###..#..#..##.###..#.#...##.###.######.###.#.#...####..............#.##..##.##.#####...##...##.####.####....##.########.#.##.#.#.....###########.#######...##.#########....##.##..#.#.#.###..##..#.#........##.##.#####.###..#...###....##..##..###....###.......#.##....#.##.##########.#...##.#.####.##..#.#.###.#####.#.###.....###########.#.#.#.####.######.#.##..#....#.#.##..#.#..####..###..#..####.#.#####.#.#.####...###.......####..####.#....##.#.#######.#######.....###.#######.#...#.##.#.....##....######.#...##.##..##.##.#.####....#.#.###..#.############....#...###.#......#.#.......#....###...##.#.######.#####.####...#.#.#.##.#.....##.#.##...##.#...##########.#.##.##....#####.#.####..###.##.####
#.#.###.##.#####.#.###.#.##..###.#.#.######.#....#####.#..###....##..##.##..##.##########.###....#.##.#####......##....##....##....##.###......##.##..##.#.#.######....#.#.#.##.##.....#.####......#..##...#....#.##..#.####..#.#......######.#..###.####.#....###.##.######.##.#.###.#...#.##..#...##.##.#...##.#.###..#.###.########..##.......###.#####.#...####.##.#.#.##.##....###..#.##.###.####.##..##....##..#.##......#.##.#..###.##.####.###.##.......##.###.#......##.#..#.###.##.##.#.###.#.####.###.##.#.#.##.##...#.#...######...######..###.##.###.#####.#.#.##..##.###..#......##....###.##.#....####.##.#...#....####...#.######.#.##...###.#.#...##......#######...####.#..####.##....##..#########.#.#.....#.###..#####.###.########.##...##.##.#..#.#.#.#.#.###.##..####.#######.###..#.#.#..#.#.#.#..#.#####.##....#....#..##..........##.###.#..###.#............####.#.###.....###.##.#.#######.########..#.#..##.##.#.##.....#.#########..#.##.##..#.##.#......#.##.#..........#..##.#..##...#..########.##....#
#.#.##..##....##.#.#...#..##...#.#.#......####.#..##.....####.##..##.#..#..###.##.##.......##.#.##.##.#.....#.#####.#.####.##########.##..##.#.#...#.##..#.####.##..##.#####..#..###.#...##...##.###.####.###.#...###.#....####.###.##......#.#.##....##..#.#.##....#.####.####.###...##.##.##.###.######.#.######...#.##...#.....##...##..#.#.####....##..#.#.#.....#######.....##...######....#...##..######.#..##.#####.#.#...##.##..##..#....#......#####.#......####.###.##.####.##..##.##.......####.#..##..###.###..####.....#..##.#######.#.##.#.#....#.####.##.#####..##....######.####..##.######.#.#.###...#..#.#.#.#.##..#.#.#...#.#.......#..####.##.##..#.#.###.##.#.#..###########..##.#####..##..##.#.####.#.##...##.....#...#.###..#.#.##.#..#..#.##............#.....####.....##.....##.#.#.##.#####.##...###.#.##.#########.###.####.######..#####..##.#.#.#.#.#.##.##.......#.#####.####.#..#.##......#..#####.##..#.##......#.###..#.#.#.###.#.#...#.##..#.#.##.#.#......##.#.#.####..###.#####.##.....##...##.#.##
#.#####.#..#.##..#.##.##.####.##.#.#.##.###....#.####.#.##....#..######.#.##......##.#.#.#.##.#.##.##.#.###.#...##..#.##........###.#####.#..###.#.#.###.#.......#####.....##.#########.####.###...#..##....###.#..##.#.#.###....##.##.##############..##.###..####........##...#####.##.##..###........#.#..##.##.###.##.#####.######....######.#..#.##..##.#####.####...##.###.###.###.##..#####.####...######.###.....#.####.#####..##..###.#.#.####.#.....#.####..##...##.......#.##.######.#.######...#.####..##..#####....##.#####...###.#..#..#.#.#.##...##.#..#.##.#######.#......#...##.##.....#.#####...#.#.##.#####.#....####.#.#.....##.#.#####.#..#####.####........####...........####......##..##.......##..#.##.#..##.#.###.##.....##.#.#####.#.##..##.####.#.####.#####....#######.##..#####.##.....#..##.##.#.#.#.........##........#....#.#.##.#.#######.#.###.#..#.###.##.#...#......#.#.#.##.#..#.####.##.##...#.##.###.##########.........#######.#.##.####.######.#.##..###.#....#.#######.######.##########.#.##
#.#######.#####.####...####....###.####.####.#.#.#..###..####.#.##.###..#.##.##.####.#.#.#..#.#..###..###...#.#..##.#######.###........##.##...###.#..##.#.#.#####.#...#.####.###...##...##..##..#.####..##.##..##..#.#.#...#.#.##..##....#.##...##...##...##.##....###.####..#....##.#...##...##.##.#.#####.....#.######....##....####.#...#......######.##.#......##..#..#######.###......###.#####.#.#..##......#.#.#.#...##....###.##.######.....####.#.#.#...##.###.#..##.#.####.#.....##..#........#.###.#..####...#####.###.......###.#.#.##.##.#....###......####....##.##.#.#.#.####.##..##.##......##.########....##.##.#....#####.#.#.######.##..####.#.....####.##.####.##.###.###.######.##.####....##.#.##..##.#..#.##..#..#####.#####........###.##.##....####..........#.##.....#.#.###########..##.###.##..........##.####....###.##.####...#............#.#...#.#.##.#...##.#.#...#.####..........####.##.##.##.###.##........#.##.###.############...#..#...##.....##.###################........##..........##..#..#
#...##.#...##.....##.#....#.#.##....#.#...##.#.#...##...##....#.#......##..####....#.#.#.#.##.#.###..##...#.#.#.##...##.##...####.######..######...####..#.#...##....#.#.###......#.##.#.###.###.#..##..#####..##..##.####.##.#..##.#..##......#####.####.##...#.##...#..##..##.#######.#####.###.##.#.....##.####....##..##.##.####....#.#...######.#.##..####.##.###.######..###.##..######.#.#.#.#.########.##.##.#.#.#.####.##..##.##...#.#..#.#...##.#.#.#.###..##..#.##..#....#######..##.#.#.#.#.##.###.##....##.##.##..##..#.#.#..##.#.#.........##...#.#.####.#..####..####.#.###.####..##...#####.###.....##.#.#.###..#.#######..#.#.#.....#...##.#.#..###.#...##.####.#..##...########..#####..##..#.##..#.##.##..##.#.###.####.....#.###.####.#..##.##.#####....#.#.#.##.######.#.#......####.#.###.###..##..#.#.#.#.#.###....#.#.###..##....#.###.##.###.##.####.#.#.####.###.##.#.#.########.#####.##.#.##.................###.#.##.....##..........#.###.##.#######.##..#.....................##.###..####.#.#.#..##.#.##
#.#.#..#.#.##.#.#..#.###.##.#####.#...#####..###.######..###.##.#.#.##..##.##...##.#.#.#.#.##.#...##..##.##.#######.##.....#....#......##..##....#....##.###.#.##.#.##.#...##.###.###..#.#.....#.#.##..##.....##..##....##..###.##..##.##.##.#..#.##...##.#..######.####..##.##....##......##...#.##.#.#.###.....##.#..##.##.##....##.###.#.########....##.##.####.....#.#....##.#.##.###.#.#.#.#.....##.##.##.#..##.#####....####.##...#.#...##.###.########.#...##.###.#.##.###.#...#########.#.#.#.#.##...#.##.##.#...#.###..##.#.#.##........##.#########.###........###.##.#..#.#####....##.##.#....####...#.#.##...#...##.#.........####.#.#####.####.#.#.####.###.##...##...##..#####.##...##...#.####.####.#########..###...#....#.#.#........###.##..#.##...#####.##.#.####....##..#.#.#.####........#...##.###.###.#.#.#...#.#.######.##..#.##.#####.##...####....###.#....#.#...##.#.#............##..##......##.##.#.#.#########.#....#.#..##.#.#.#.#....##..#.....##..###.###.#.######.##.####.########..#.###.#.##########
#.#.##...#..#.###.##.##...#....##.#.#.....####....##....##....###.#..##..#####.###.#.#.#.#..#.#.#..##.##.##......########.###.#.##.#.#..#.######.#.#.###...#.###..#.####.#.##...#...#.##.##.#.######..#####.#..##..##.#.##.##....##..####..####....###.#..##.###.....##..##..##.##.##.#.#.##..#.#.#..#.#.##..#.#..#.########.##.##..#####.#..#.......#.###.#.......###...#.####..#....#.#.........#####.....##.####...#.###.#..##..########.###...##.###.#.##.#.#..#..##.###...##.#.#.......#.#.#.#.#.###..#....#..#.#.#...#.##..#.#.#####.#.##.##.....##...#########.##..........#####....#######..##.#....##.##.#.#..########.#.#.##.##...####...................#...#..#.#....#####.....#..#.####.###.##.#..#.#.......#.####...#.##.########.#####...###..#######.....#..#.#..#.########.###.#......##.##.##.###....#..##.###.#.#####...#.##.#####.#####..####.#..#.###.#######.###.###.##.#.##.#.##.####..##..#.####..#.##.#.#.........#.#.#.#####..#.#.###.#.#.######.#.#######.....###...#######....#...###..##...###.####.#.#...#
#######.##.##.#####...#.#.#.##.##.#.###.#.#####.#..##.#..##.#.#...##.###...#.#...#########.######.##..#..#..#.####.#.......######..#.#.##.#......#.#...#.###...##.#....#.#.##.#.#.#.#.##.####...##...##.#...#.##..##..#..#..##.#..##....##....##.#######.##....##.#.##..####.##..####.#.#.##.####.##.#.###..##.#.##.....##.#.##..##.##....##...#.#.#.###.####.####.##..#......##.#.####.#.#.#####.......###.##.#....#....##.######........#..##.###.........###.####.##...###########.#.#.#...#.#.#.#...##.##.#.#.##.#.#.#...##.####.###...#..###..#.#....#####.#####..#.#.#.#.##.#.#.#.#####.#.#########.#########.##........#.###.##..#.#....##.##.##.#.##.#.#.###.####.###.##..#.###.##...##....#...#....##...#.##.####......#.#######.#........##.#...##.......###.####.#.##..........#.##..#.##.#..#..###....#.#.##.###.#####...###.#....#.#.###...#.##.##.####....#####.##.#...#...#.##.#.####.##...##.######....#######.#.#.###.#.###.#####...##.###...#.#.#.....##.#.##.###..###.##..#.......#.########...#######.#..#.#.....#.#
#....##.##.##....##.#.#.#.#..#..###...###.#.....#.######.#..#.###..###.#.###.#.#..#.#...##.#.#.#...#######.####......###.#....####.#.#..#.#.#.##.#.#.#.#..#######.#.#.##.#.##.#.#.#.#.##.#....######....#.###..##..##.##.#.##..##.###.#.###.#######....#..###.##..#..##..##..###..#.#.#.#.##...##..#.#..###.##.#.###.##....###..##..###.#..##.##.#.#...#.##...##...##.##.#.#####..........#.....##.#.##...###..###.##.#.###.####...#.#.#.###..#.####.#.#.#.###....##.##.#..#####.#.######.##.##.#.#.##.##...#####.##.###.#####....##.#.#.#.##...##.#.#.##...........##.#.#.#.###...................##.#.#...#...##..###.#.##.##...#.#..#####.#.#..###########################.###.....#..###....##...#.##.###..#.#..#...###.###.#..#.##...####.#.####.###..#.########.....#####..####.##.##..#.##..#.#.###...#.#.##.#.#....#.....###...#.##.#...#...#.#....#.#...##..##..##.#.##...####.##.##.#..#######.##.......##.#.....#.###.#...###...#..#....####..##.#######.#.###..#......##..##..##.####.##.#..##.##...####.##...####...##.####
##.#....#...#.#.###.#####.#.##.##...#...######.##....##..##.####..##.........#.##.....#.##.....##.##...##....##.#.#.##...#.##....###.#.#########.###.###.##.####..#.#.##.#..#.###.#.#..###.##..##....##.#.#...####.##..#.#..##.####.#.###...........##.##.##...##.######.###...##...###.###..#####.#.##..##..###...###########.######...##.##.####.#.#....##.##..#.#...###.......#.#.############..##############...###...#....###.#.#.#...#.##....###.#.###.##.#.##..#.##...........#.############.##..##.###.##.##.#.......#.##.##...#.###..#.#..#.#.##.##.###.#######.#.#.#...#.##.#.#.#.########......###.#####..##.###..##.######.#.#.######.#.....###.#.####.###.#.##.#..##.##.###..##.##..###.#######..##.#.####..##.#...##....##.##.##.#.##.######.#........#.##.###.###....#..#.##.##..#.##.#..###########.#.#.#.##.######..#.######.#...##########.#.#########......##.#....#..###..##.......#####.##.####.#.#####..######...##.###...#####.####....##.##.########.###.###.####.##...########.......#......###.##..##.########
#..##.#.#.#.#.###.#####...#..#..##.###.##..###.##.######.#..##...###.###.#.###.#..#.#.#..###.###...###....#.###.#.#.#..#.#..####..##.#..##.#.#....##.##........#.####..#.#.##...#.#.##...###..###.#.########.##....##.##.#.###..##.....##.#.##.##.#..#.##..###.##..##.....##.#..###..##.####...##..#.##.####..##.#.###.####..#..##.####..#..#...##.#.###.##..#..#####.##...#########...###.###.##.####.###..#.##..#...##.###.#...#.#.###.#.###..##..##.#......#.#..####.#..#.##.#.##.....#..##.#.##.###.##......#.########.###########.#.##..#####.#.#..#..#.##......#########.#.#..#.##########...#.####.......##..##....##.##....##.........##....#####.#....#.#..........##..#..#...##..#.###..##.......##.##.#.#..#.######.##..##........#.#.........###.#.#.#.####.......##.#.##.##..#####.#.##.#.##.#.#.#.#.#####.####......#.######.####.#....#.####.......#...##.####..###.##########..##.#.#.###.#####....###....##.##.#.#######..##.#...##.....##.####..#..##.###########.....#####.##......##.##.####.###..##..##......##.#.#
##.##.#####.#..##.....#.#.##.####...##..##......#..####..##.##.#...###...#...#.##.#.#.#.###..###.#.##..#.##...#######.##.##....#.#####.##....##.#..#.##.#.######.#.##.##.#..##.##.#..#.#...####...#.......##..###.###..###.##..####.#.###.#..#..#.#.##.##.##...###..####.##..#.####.###...##.#####.#.##..#.#.#####........#.#####.......###.#.#..###...#.######..##....#.#.........#.#..........###......#.##.###.#.#.####...##.##.#..##.#...##..#.#####.#.##.###.########.#..#.#..##.##.#.##.....###.###..#.######...............##...#..##.#.#.######.#.##..##.#.#......#..###.#.##..#..##.....#####....#.#.#..#.#####.##..###.#.##.#.#.###..##.#....##...##.....###.###.###.##.##.###..##...##..##.#.##########...#####.#...######.#.####.#.##.####.#########.#....###.#.#########..#####.####.#..#.#...........#.##..##..##.#.#......#.#.##.###.##......#.#.#...####...##.##............##.##.#.#.........##.#..#######.............##..#.###....########..#.###.........#.##.##.####..#.....##########...##..#####..##..######....#
#######.....##..##.####.########..#..#.##..#.##.#.##.#..##..##.#.#####.#.##.##.##.#.#.#...##...#.#..####.#..#...##....##..##.#.#....##..####....##.#..###.######....#..#.#.##...#.#.##.#.#.#....###.#.###..##.#.....#.##....##..##..#.##..#.###.#.#..#.#######...#.##.....##.#....#.##..#..#....##.#..####.......##.#.###......####.#.#..####.##..##.#.#..##....####.#.#.#.#.##.#.##.#.#.##.##.#####.###.......##.#.#..####.######.##.##.#.#.###.#....##.#.##..##.......##.#.##.##..#.##......#.#..##...####......##.##.#.#.###.###..#.##.##..........#.#..##.#..#.#.#.##...##...#..##...##..##.###.###.#.######.#...##...##...###.##.#.#...####..#.##....#..#.#.#...########...#.##...#.####.##..#####........##..#..##.#.###...##...#....#.#.##....#.........#.#.#.##...#...#.#.#.#####.......###.##...##.#.##.#...############.#.#.##......#..#####.###.####.#.#..#.############.###.###.#####.####.###.##########.##.###.#######.#.######.###.##.......##.##..##.##.#.#.##.....####.##...#.######..##.#########.#.##..#.##...#..####
#.......#.#..##..#...######......###.#.#..##..#.#.##...#######.####..#.#..#..#..#.#.#.#####..#.#.#.####..##.##.##..##.##.###.###.#.##..###.#.##..#.#.###.......###.###.#.#..##.##.#..###.###.##..####...####..#.#.#.#.##.#.####..##.#..##.#..####.#.####.......########.#.####.##.#..##.#.##.#.###.##..##..#.########...#.#.####....#.##....#####..######..####...##.#.###.#.##.#..#.#.#.########......###.#.#..#.#.##...##......#.##.##.#.#..##.#.##.##.#.###..#.##.####..#.##.##.####..###.##.##..#.###..#.####.##..###.#...########.######.#.###.#.#.#.######.###.######.####.#.#####....##.......##.#......###.#####.###.#...#.##.###.#....##.#..#.##.##.#.#.##.####.##.#########.##...##..##.....#.#.##.####.###.......##.###..#.#.#.####..##.###.#.#########.#.####.###.........#.#.#####.##..#..###..#..###.#...........####.#..#.#.#.###...#...#####.#######...........##.....#..##.#.#....##....#...##.#.##......#...#.########.##.#...#..##.#.##..#.##.###.######..#.##.####...##.##.###..#.##...............##....###...##..#
####.##.#.##.###...#...##.##.#.#.##..#.##.##.##.#.#..#.##......##.##...#.##.##.##.#.#.....##.###.###....##..##.#..##..##.##....#.#######.....#..####...##.#.#.######.#####.###..#.##...#.#...#..##....#######.#.#.########.#.#..###.#.###.##...####...########......##..#...##.####.##..#..#.#...###..##..##...#....#.#####...##.##.#.#..#.####...###.##..##....#..#.#.#####..###.####.#.#.#.##.#.####...###.######..##.##..#.#.#######..###.##..#..#.#..#...#.##.##.#####.#.####.....##.##########.......##.##.####.##...#.#......###.#.#.##.#...#.###.#...##.#.##......##....#.####....##.####.#.#.####.##.#...#...##....#.#.###.##.#...#.#.##..####..#.##.#.#.##.##.#.....###.##.#####.##..##..#############.#.#.##.##.####...#.####.#..##..###..##.#.........###..##....#.#####.#.........#.###.##.####.#.######.#######.#....###.######..##.#...#...........#.#.#.#############.###.##...##.#..##.###.#..#......######.#.......#.......##.##.#########........###.#.###....#......#.##.##...#.##.#..################.####.#.#####.#
#....#..#.#..#.##.##.###...#.#.#..##.#.#..##.##.###.####..#.#.##.....#.#.#..##.####.#.##.##....#.######.###.##.#.##..##...##.#.#..#....#####.##...###.##..#.#.........#.##...##.#.##.#.#.##.##.##..##.......###.#......##....##.##..####..####...##.#.#........#.##..##.##.##.....#.#####.##.##.###..####.##.#...######.##..###..##.#.#.##....#.#......#######.###.#.#.....#.######..###.............###...#......####...######.#.##.###.##...##.#.##.##.##.##..#..#....##.#....#.#.###......#.#.###.#.#####.......###..#.##########.......#####.########.###..#####.#.#####.###....###.###...##.###..##...#.#.#.##.###.######...#.##.#.#.#.#####...##.##..#######.......###......#....######..##...........##..#...##.##.##...#######..##..##.#...##..#.#.#.#.#.#######.#.##..#.######.#.#######...##...####.....##.......#.#.########.#.#..##..######.#.#.##.#...######.#.#.##..##..##.####.##.##.##..##.##...##.#####....####.####.#################..#####.#.#.........#.##.####.######.##.#......##..##.##.##.#.##.....##.#....##.#
##.#.##.######....##.#.##.######.##..#.##.##.##..##....#############.#.####..#..##..###..##.#.##.#.......##..#.#..######.#####.##...#####....##.###....##.###.##.####....######.####.###.##..#.#..##..#.###.##..#.#.##.###.#.#...##....##...##.#..###.####.##.##.#####..#..##.#.#.#..##...##..#...##.####..####.##.#.##..##..#####..#.#..##.######.#.#..##.#...##..#.#.#.#.#.....#..####.#.####.#.#.####.###.#.######..#......#........####.###..####.##.##.##.##.###.#..###.##.#.#...##.#.#......##.#...#.###########.##.......#######.##.#.#.###.##..##.....####...#.....#...#.##.#.....#.#.##...#.##..#.#.###..###......#######..#.#####.....##.##..##.###.#.#..#.#.#...###.##...##..##.#######.#.##.#.#....##########..###..#.#.#..######..###..##.#.#####.#.....##..#####.....#..#####.#######.####..###.##.##..#.#.#####............##..##.....##.#.#..#.#.#...##..........#######....#.##.#...##..#..##.##........#########.##..##......#...##.##.....#####.###.#####.#....#####.#.#######.######.###..#..#....###.####.#.#####.#
##.#.#####.....#.##.........##...##.##.##.##..##.##.#.####.#.#.##....#.##...##.##..####.#####..####.##.####.####.#####......##..#.#...#.##.###....##.#.#....###....###########...##...##.##.##.#.##..##...#####.#.#.####...#.#.#..##.#.##.#..#.#.####.##...##.##.....##.#.##..#.###.####.######.###...##..##............####..#..####.##..####.##..###.##..#.#.#..##.#.#.#.#.#.###.###.###...##.#.#....#...#.#......##.##.###.#.#.#.####......##....######..#...#.#.#.##..##..#.#.#.####.#.##.##.#####.#...####....#.####.###.###..##...##............#######.#..##.#########.##..#.#.#.#.#.########.#..##.#...##..####.#.##...#.####.##....#.####..##.##.......##.#.###.#..##..##.######.....##...#.##.#.##.#..##......#.#####.....#.###.##..##...###.#....########.###....###.####.###.##.#.#..####.###...#.##..#.##.#...##..############..####.####..########.#.#....##.##.#.##.###.######..#####.##.##.##...###.##.#.####.........###.######.####.##.###.....#...#...######.#............##....#.#.#.#.#.##.##.#####...........##..#
#..#.#.....#.###..##.####.######..#.####...#.###.##.#.#...........##.#.####..#.###....#...##..###...#..##.....##.##....#.##..##.#.#.###....##..#.###.#.#.#.#####.#...#.......#.#####.##..##.####.###.##.####..###.###..###.######..#.###..#.##.#.#..#.##.#.##.####.#..#.#.###.#.###..##.....##....#.#.##.####.#.#.#.#.#..#.#.##.##..#####.......#.##......##.###.##..#.#.#.#.#..........##.#..###.##.####.######.#.######.#.###.#.#..#.#.###.##..##......#.##.###.#....#.##..####.#..#.#.#.##..#....##.###......#.##.##.....#.....#####..#.####.#.#.#......##...##..........#####.#.#.#.#.#..#.##.#####.####.###..##....#....#......#..###.##....#.##..#..#######..#..##.######..####.#.#.##########..#.####.##....#########.####.#.#.#.#..##..##.##.###.##........#...##.#...#.................##.#....#.###..#.##.##.#.#####.....##.....#.##.#..#.###........###.##.####.##.###...........##..##...##.##.##.#..##.##.#......####.####......###..........#########.##.###..##..##.##.##.#.#####.#.#.#.#............##.##.########..##.#
##.#.#.#.#.#.#...##....##....##..##...###.#####...#.#.#.#####.#.#..###..##..##..##.#####.####.##..#.##..#.#.######..#.##.##.##..#.#...##.#..##.#.##..###.#..#.##.#####.####.##...##...#.##...##....###.......##.....#.##......##..##.######..#####.#######.#.....#.####.###.###...##.##.#.###..#.####.#..#.####.#####.####.#.......##.....###.#.#####.##.###.##...##.###.#.#.#.#.##.#.#..#.##...#.#.....#...#.######.##.....########.#.###....##..#.#.####.##...#.###.##..####.#####.#.###..##.#.#.##..##..##.###.....##.#.##.#.#.##....##....#.#.#.##.#####..####.#.###.#####.######.######........##....##...#######.###.######.####.##...#.#.#####.###..#.#..##.#.##.....#.##............#.#.#.########.#.###.#....#..#.#.#.####.#.#.#.####.##......#..#.#.#.#.####..#.#.#.#.#.###.#.#.#.#.#......########.########.#.....##.####..#.###..#.##...#.##.###.#.######....####..##.##.####.#.##.###.#.#...#..###.###.#..#.##.#...##....#.######...###.###.##.##.##.###....#.##..###..#.##.#...##..#.......#.##.###.####.##.#.#....#.###.#
#..###.#.#.#.##.####.#.###.#.##.#####...####....#.##########..#.##.##..##..##..##.....####....##.##..##.#.###......##.##.#...##.#.#####..##.##.#..##..##.##...##.###.#....#.##.###..######.#.##.#####..#.##.###.#.#....##.#.#####.#.......##....##.#...##..###.#.#...####.......#.##.##.#...######.##.##.#..........#...##...#.###.####.#..####.....###..#.#.##.#.##...###.###.#..#.#.#.#####.#.#.##.##.###..........##.#.###.###........###.####.###....####.#####....##.........##.....##..###.#..##..##..#..##.###..#.#.##.########.####.###.#.#..#.....##....#.#..##....#......##..##....#.#.###########.#..##.###.##......##....###..#.#.#...#.#...##.....##..#.##.#.#....#.###.#.######.........###......#.##.#...##.#.#.#.####......#.#..##.###.##.#.#.#.#.#.##.##.#.#.#.#...###.#.###.#.##.#........#..##.##.###.##.##.......####.####..#.#....#...###......#.##....##.....#..########.##..####.###.##..#.####.#.##.#.#..##.###......##.####.######.........##.#...##.###..##..#.#.#.###.##.##.###..#####.............####.....#
########.#.#.#....##.#...###.#......###....####.#..##........##.######..#.##..##..#.#...##.##.####..##..#..####.#.###..####.#####.....####...###.###.###.##.#.#........##.###....##.##...#.#.#......####..#.##..#.#.#.#####.##.##.#.#.#.#.##.##......###..##...#.#.#....#.####.##..#.##.#.#.........###..##.###.#######.##.#.####.....#.##...##.########...#.##.#.#..#...#.#...#.##.###.#.#.###.#.##..#...####.##.##..###.......####.#.#.##..##.....###.###......##.#.####.#.#.#####.##.####..##.#.###.###.#############.###......##....##....#.#.#.###.#.##..#.##.#.###.####.###.####..#.##.###...........#######...#..##.#####..#.#####.#.#.#.#...#.#.##.#.###..##.####.##.###.###.#........#########.#.##.#.#..###.#..#.........##.##.#...#.###...#..###.#.###....#.##.#.#.#.#.#...#####...#..#.#.#.#.#.###.........########.#.##...#...#.#.##.#.#.##.###...##.###..#.#.##..######....#...#..##.##....##..#.##.##############..#.....######...#.#....#...#.#.#########.###...#.######.#####....###....#.###..##.#.#.#.#.##....##.##.#
#........#.#.##.####.#.#...####.#.#...##.####...#.####.#.#.#..###.#....######.###.#.#.#######....##..##.##.#.##.#...#.##..#...##..###....#.###.....#.##..##.#.#.#.#.#.##....##.#..#..###...####.#.#.#....##.#..######.#####....##.#.#.###.##.##.#.#.##...####.########.#####...#####.##.#.##.##.#.#...##.#..#.........#..###....##.##.#.#..#..#........##.##.##.###.##.#.####.##..#.###......######..###.########..#.####.#.#.#...##.#.#####..#####...#...#.#.##.####.##...###...##...#....##..###...#.#..........#....#...##.#####..#.##..#.####.#..##########.##.#...#........###.#####.#...###.#.#.####.........#.#.###.....####.....#.#.#.#.#########..#...##.####.##..#...#...###.##.##########.#..####.#.##..##.##...###.##.##..##.#.#.#.##..####...#.#..###.#.#.##.#.###.#.#.####.####.#.##.#.###.#..##.##.##.####....##.#.##.#...###....##########.##.##....#.##.#..##......#.##...#########..#.##..##......#.####.#.#.######.#......#.#...##.#...#####.....#.#.###...#.#.#.######.....#.#####.#.#.....##..#.###.#.##.#.###.##.#
#.#.#.##.#####...##..#.#.#####..#.##.##.....##.#####...###.######...##.....##..##.###...##....####..#####..#....##.##..##...#.###...##.#.###...##.####..###.#.#.#.#.#..##.#..#######...##.##....#.#####.##..##....##...##...#.###.#.###....####.#.#..#####..#.#.###.####.##..#..##...#..#..#.#..#.###..######.#.########.#...####...#.#.##.##.#.##.#.#..#.##.##.##...#.#####..##.##...##.#####.#####...#........#.##....#.#.########.#.....##.....#####.#.###..#.#.....###...#.#.##.#.#.######...#.#.#.##.##.##.#...#.##.#.##.....##.#.#..##....####...#.#.##########.####.#.##.....#...###.#...#.#.#..######.######.#.##..###..##..###.###.#.#.......##..###.###...##....##.###.#..##..######.........###.###..#.##..##.#...#..#..#######.###..##....#.########.###.###..#...###.#.........#.#.##.#..##.#####..#.#####...####..###..#.#...#.##.............####.#.##..####.##.#.#.##.#..#.......##..##..##..###.##....#.#...#..##############.###.####.####.######.......#####.#.#.#...##.#.#.#.##..#.####.##..####...#.#..###.##...#.#
#.#.#.##.##....#.##.##.#..##...#####.###.#.###...##..###...#......#.##.#######.##.##..#.#..##....##.#.....#####.######..###.#..###.##..#...##.###...###...###.#.#.#.##.#####.......##.###..###.##.##....###.##.##.##.######.#...#.#...##.#..#.######...####.#....#.....#..##.#.#####.#.#####.##.#..##.##......#.....#..###.#....###.#####..##.#..#.#.#.##..#.##..##.####.....###.##.###.........#.##.#.#.#.#.####..#.#.####........###.##.####.#.####...#..##.#####.#.##...#######..#.#.....##.#.#.#.###..##..#.#.#.###..#..##.#.#####.##..#.######..#........##.###.....#.##########.#...#.##.####.##.....##...######.###...#############..#.#.#.#.#..##...#...##.###.#.###.###.######...#....#####.####....#.##..##.##.##.##.##.#####.#....##.#..#.##.....##.#.##....##.##.##...##.##########..#.##..#...#.######.....#....##..##.######...##.#.########.###.#######...####..###..####.##.##########..####...#..##.#.....#...##.#.##.##.#.....####..####........##.##.#..######.....###..###.#..##......###..##.####.#.#.########.####
#.######.##.#.##.##.#..#.##..#.....###...#...###..##..####.##.##.##.##.......#.##.##.########.#.######.##.#.......##...##...####....####.#.##.#...#..##.#...#.#.#.###.....##.#.########...##....#.#####...#.##.##.##....###.#####.#.#..#.##........#.#.#.##...##...###...##..#..##...#.....####.#.##..####.##.##.##...####.##.#####...##..##..#.##.###..#.##.#..##...##..#.#.##..##...###.##.#.##..#########....#.####....###.##.#.#...##....###....#.#.##.##...##..#.##.###.##.###.####.##..#.###.#...##.#..####.#.######.#####....##.###.#......##.#.####.#......##.#.##.....###..#.###.#..#...##..#####.####......#.#...#....#.##...#.#.##.#.###.#.####.##.####...###...###.......##.#...###########.#.######..###..###...#..#.....#.##.#.##.##.###..#.###.....#.##..###...###..#.##.......##.#..##.###.#.###.#..##.##.#.####.##.....##.###..#........#......#.#.######.#####...##.....######.#.##..######.#########.####.#..........#.#.###...##.###.##.####.##..#####.....##.#.#..##.####.#######.##...##.......#.###....##.#.....#
#.#......##.#.##.##.##.#.##.###.#######.##.#...##.##.##.#######..##.##.##.##.#.##..#...##.....#.....##..#######.#..#.#.####...##.##...##.#.##.##.##.###.#.#.#.###.##..##.###.#.....##...#.##.#.##.#.....#####...####.#.##.#.....###.#.####..###.#.##.#...##.#..#.##########.##.###.#.#.###..##..#..##..##..##.##.##.####.###......#.#####..##.###..##..##..####.##.#.#######..#.##..#.##...#.#....###...#..#.##.#...########..######.#..##.#.#...#.####..#.##.#.###.####........#.#...##..#.##...#######..##...####.....##.....#.#.##...##.##.###..#.#...#####.#.####.#..##.##...##....#####.#.#..##....##...##.#########.#######....#...###..#...###.#.#..#...#.#######.#..###.######..#.#.........#.....###.#####.#####..#.#.##.#.#...##.#.##.#...##.##...#.#####..##...##.##...##..#.####.#############.......#.#####..#....#.#..#.####...#.###.###.######.#.....#.#........##.#####.#...........##...##........##.....##.##.#.#.###.....########..#.......########.#.#.########.##..####.#...##....##.###..#.#.#.####..##....##.####
###.#.#.##..###..#..####.#..#........##..###.#.##.##.#..........##..#...#..#.#####.##.###.#.#.##.####..##.......#.####.#....###...#.#.##.#..#.##.#....#.#.#####....##..#...#.#.##.####.##.##.#..######.###.######....#.#....###...######...####.###..##.######.#........##..##.##..#.#..##.###.###..###########..##....#...##.##.##...##..##....######..##..##..##.#..###....##.#..##.#..#.###.#.##.#.###.#####.##.##.####.##.....##.#.##..#.##.##...##.##..#.#...#.#....#.##.#...##.#########.##########.#..#....##.#.##..#.#####..#.###...#...#.####.#.....###....###.##...###....##...#.######.#..##..#.#.##...###.#...........####.#...#.##.#..####...##.#.........####...#......##.###.##.####...#.#............##...#######.#.#.####.#..####.######.#.....#######.###..##.#.###...#.#####...###.#..#.##.##.......#########.##.#..#.##.##.#.#..##...########.#.....##.#.#.#....#.###.###.#.#.#.##.######.##.#.####.######..#.#...##.##........#.##.#######..#.###...#####..###..##..#.#...####.##.##...##.#.#.#..##..####.####....#
###.###..##...#####....#.##.#.#.####.#..########...######.####.####.#.#.#.##...##...#.#.###.####....#.##..#####.#....#.##.#..##.#.#.#..#.##.#.##.##.#.###....##.#.###.###.##.#..#.#..###..##.##..#.###..........####.#.##.#.########.#.###....#...#.##...##....#.#.###.####.##..#.##.#.###...#...##....#.###.##.##..##...###...#.##.#########.#.####.#.####..#.##..##...####..#.#.######.#..##.#...........##.###...........##.#.###.#.#######...#.#..#..#.##.##.##.##.#.#..####.##........#.#.....#....#.#.###.###..###..##.....##.#.##..#.###.###.#####.##...##.#.######.#####.#.##..#.....##.#.#.###.##.#..#.#.....##.#.#.####....###.#.#########.###.######.###.#####.#.###.##.#.##.##..##....###.#.##.##.#####.####.####.#.###.#....#.#.###...#.##.######.##.....#...##.##.#..##.#.....#.#.###.#...#######..#########.....#.#..##...#####...####..#........#.##.##..########.#....########.#.#.##.##.#....#.###.##...#.###########..##.##.#.#........#.....##.....####....##...####...#.#..#.###..#..###..#.####.##.###.#..##..##.#
#...##..##..#.#.....#.##.#..#.#....#.##......##..#############...##.#.###..#.###..#.#....##....###.####..###....##.#.####.##..#####.######..#.##.#..#...##.#.##.#.#...#.###..##.#...##...##..##.##.....#.#.#.######..###..#.............###.#.#.###..##.###.#.####...###.#...#.#####.#...#.#.######.####.........##.##.######.##.##...#...##..#......#....#.##.###.##.#..##..##.#..#.#...##..####.###.####....###.###.##.##.##.#...#.#..#....##.##.#.###.####.##.##.##.#.##...#######.#.####...###...####.#.##....##...##.##.###..#.#.###.#.##.........##..###.####.#.##.......#.#..##.#.#.#....###.##..##.#.####.#.####.#.#...###.#...###..#.##.#.#..##.....##.##...#.#..#.#####..#.##..##.##.#.##############.#####....#.#.....#####.#.#.#...###.......#.###....#####.###..####.##..##.####.#.##....###.#...##...........#.######..#.#.....###..#.####.#.########..######.#.##..##.#..##....########....###.#####..##.#...........#.####...#.#.#.##.#.#...######.#######..#######...##.###.##.....##.##...##.#...##.##.##..#####.#####
#.#..##..##.####.##.#######.#.#.#######.##.#.##.##...#.........#..###..##.##.###.##.#.##..##.#...#..##..###..#.###.#.##....##...##......##.##..###.###.#####..#.###.#.....#.##..#.#.##.#..##.##.###.##.#.###...##...########.#.##.#.##.##...#.#...##.#..#.#.#.##...#..##...#.#.#.....#.#####......#....###.####.##..#....#.####..##.#...####.##.#.####.#.#######...##.#.##..###.#.##.###.##.###.....#.#######...#...######..#..########...#.##..##.#...#....#.##.##.#..#.##.###.#.##..#....###...#.#...####..##.#.###.######...####.#...#.#..##.##.##.####...#..##.....#.#.##.##.#####.#.###.#.##....##..#.#.#..#.#..##..###.#..####.#...##..........####.##..#.#..#.....##.....##.#..##..###..#....................##.#.....#.#.....#.#.#.#.###.#.###.#.....##.#....##...##....#..#####...........##.......###..###.####.######....##.#.###...##......#.#........##.#.##......##..#.##....#.###.#.#.##.####........##..#.##.######.....####.###.#.##.###.#......#.....#.#.##.#.#######..##...#.#.#######.######.#.##.##..##.....###.###
###.##..######.###...#.###..###..###....##.#.##..###...#######.#.###..##..##...###..#..#.##..#.#.##.##.##.##.#...#.#..##.#..##.####.#.####.##.###....#.....##.###...#.###########.#.##.##..#..###.#.#..#.##########.##.......#..#.#..#.##.#.###.###..##...#.#..###.#######.#.#####.#.#.###...#.#.###.###....##...##.##.#...#.#####..#.#....#..###.####.#..###..##.##..#.###...######.....##.#.###.#.#.......###########.######..###.#.##.##..#.#####.#.##.###.##.#####.#..#........##.#######..#####.#...##.###.#..##....##..#..##..##.####.##...###..#.#..###.####.############.....###...#.######.##..##.#...####.######...##....#.#.###..#.######....#..#.#####.#.########.######.##..#####.##.#####.##.#.########..#.##.####.#####.#.#.#.#......####.#.####.##.###..#####.#.##..##...#.#.##.#.#####.#.#...##..#########.##.####.##.#.#########.#.#.####.#######.......##.#.#..#######.##.......#.##....###.##.#..#######......###.#....#####.####...#.##.###...#####..............#.####.##.#..##........###.#.#...##....###.###.#.#
#....##...##.......#.....##..###...####.##.#.##.##...#.##......#...##..##.####...##.#.##..##.#.#..#######.#..##.##.#.###.#.##..##...####...##.#...##.#.#.#..#...#.###.....##.####.#.##.#..###..##...##.#........##...##.#.##.#.##.##.###..#..##..###.##.#.#.#.####......##.#..##...#.#...#.#.#.###.#...##.#####.##..##.#.#....#####.#.#.##.##.##.....#.##.....###..##.#...#.####.#.##.##.#......#.#.##.#.#.#####.#......#.##.##.....#.##########...#####...####...##...##.##.##.##..#....##.#.###.####.###..##..#.##..#.####.##..##.##...##.##.#...##...##...######....##.##.#.###.#...##.##...#.#..##.#######..######.....#..##.###.#..###.#...######.##.##.##....#......###.....##..##.##.##.##....####..#........##.#.##....#..######.######.#.#..###.#....#..#...##....####.##.#####.########.....#.#.###.#####.#...........##..##.#........##.######.#.#####.##.#.#.########.....##...##.#.##....##.#..##.##.#.##.......##.#...###.##.....#....#.###..#######.......########.#######....##.##..####.#.#...###.##.##..#.##.###.#.#.#
###.##..#.##.#####.#.###.##.##...#...####..####.####.#.#####.#.#.#.#..##...##########.##.##..#.##..##.......##..##.#.#...#.###.####....###..###.#.######.#.###.##.#...#####.....#.#..####...##.##.#.####.#.##.#.###.##..#..#.#.##.##.####.########.###..########...##########..#####.#.###.#.#.....##.##..###....##.#..###.##.....#.#.#.####..###.####.####.#...#.##..#.#.#.........####.#.#.####.####.#.#.........######..#..#######.#.#...#.#..####.##.#....#.#.##.#..####..#..#######....#.......##...##..######..##....####.##..###.###.##.##.###.###..#....##..##...........###.#..#..#.#...##.####.....##......#######.###...####...#.#.#.....#######...###.##.##.#.#.##.#.###.##......#####.#....##.#.##.###########.##.##.....##...##...#.##...#.######.##.#..##.#..###.##...##......#..#.##.####...#...#.....#######.#######..########..#.####...#........#.#.#........##.##.##.#..#.#..##.####.#.######.###..####.#######..#####.#.#.#.####...##......###.####........#####...###.##...#.###...############.#..##.....##.#...#
#...#..####..#.....#...###...##.####....##....###.##.#.#...#.###.####.##.#.......##....#####.#####.######.#..##..#.#.###.#..##.#....##.##..##...#.....##.#..##..###.#.......#.###.#.####..#.##..###...##.########....####.####.#...#...##.....##.....##.....##...#..#####.##..##.....#.#####.#.######..##...##.#.##.##..##..#.##.##.###....####.#..###....#.##.##..##.#####.##.#.######..#.#.###.....#.#.####.#.##....###.##.#####........###.#.###.#.####.##.###.#..#.##..##.##.......###.##.#.###.##.#####..##.###.##.##.##.#######.#...###..##...#.##..#########..##.#.##.###...#.#.##.######.##...##.###..#.#######....#...###..#.#####.###.#.#...#..###.##.#.##.##.#....#####....#.#.#.###..#.##.######..#..##.#.#...###..##.#.#.###########.###.#########..###.######...#.#..#.##.#.##...##.##.#.###.##.#...#####.....#..#.#.###........##.#...#..#.#.##.###.#.#.#.#.######...#.##.##########....#.####.##....##.#..........##...##..#####....##.###.##.#...####.##.#.#.#####...###.#####.##...###..........##..##.#..#.#..#.#.###
##.##.###...###.#.##.###...#..#.#....#.##..##..##..#####.#.....#####...####.#.#.##..##.....#...##...##....#.##..####.##..#.##..#.##..#####..###.#.##.###.######.#####.###.#.#..##.#.##...#####.###..#.##.....#.###.####......#.##.##.#.#..###....##.##..##.##..#.##........##..##.##.#.....#.#....##..##..#.#..#.#...##..##.#######...##.#####..##...#.#.##..###..##......#.##.#......##.#.#...##.##.#.#..#########.#.........#....########.#...........##..#...#.##.#..##....###.#.##...#.####...###...#.###......#.##..#.....#.##.....#...##..#.###..##.#......###..#.#.##...#.#.###..#......###..#......##.#.....#.#.########...##.##.#####..#.#.###.##.#....#.#...#.#.#.###.##.#.####.###...##.##.#...##.###........#...#########......##......####.......####...#.######.###.##.##.#..##.###.#......#..#.#.#.##....######.#.....##.##.#######.#...####..#####.#.#############.##.##..........##.#.#.......##.#..######.####.###.#####.....##.####.##...###.#.......#########.#.###...##.#..##.#.##..##.#.##.##..###.#.#####.......#
#..#....#.#.#...#.#....###.#.#####.#.#..##..#.####.##.#..#.#.###.....####.#.###..#####.#.#.##.#####..###.##..##...######.#..##.#..##..##.#.##...#..#...#...##.....##...##.####..#.######...##..#...######.##.#...#.#....#.#.#######..####...##.#..#.##.##...#.#####.###.######.#..##.###.#####.####..####.####.#########..#.......##.##...##.##....###.#..#######.##.#.#.##..####.#####..#.#.#.##..#.#.##........#####.####.###.######....#.#.######.#.##..##.#.#..###.####.#..##.####.###..##..#####.#....##.###.######.#.#.#....#.##.##.#..##.#..######...######...####.#..#.#.#####.##.#.##...##.#.##.#.####.#.#...#........###.##.....###..####........#.#.######.###.#......#####........#..#.##...#.##...##.##.##.#.#.#.#.#####.##.#..#.##.#......#####..#.###...#.#.##...#..#.#..#.###...####.#.#.#.##.###....##..###.###.###..#..####.#.##.#.###.###.....###............##..#####.#.#.###..#.###.#.###..#.#.###.###.#######....#.#.#####...#.####.#.#####.##.##..............#..#....#####.#.###..#.#..#..##.##..#....####.#.###
######.########.#.##.#...#.#....##.#.#.########.........##.#.#####.#......#...##..##...###.##.....#.##....####..#..##..#.#.##..######....########.####.#.######.###..#..#....##.####.....#.#######.....##.#....#.#.####.#.#...##....##..##.##..#.##..#..##.##..##.....#####.##.##..#..##...###....#.###.#.#.....##.......##.#.#.########.###..##.#..#####..#...##..#.#.#..######...#.###.#.#.###..####.#..#.###.##..##....#.....#......####.#......###..####..#.#.##...##...##.##..#.#...#.####.....#.#########.....##.###.###.#.#####..###.###.##...##...#......##.##.#..##.#.#.....#..#.#.##.###..#.##.#....#.#.###...#.##.#.##.....#.#...##...##.##.#.#.#.###.##########.####..##...##.##.#####..###.###..###...######.#.....#.#.#######.#.#..#.####..#.###.....#.#......#.#.#.##.#.##...#.#..##..#####.##...##.#..##.....##....##.#.####.....#.#...#...##.##...##.#.##.#.######...##..###..##.##..##.#...#.####.#.............######.#....####......#.#...######..#.##############.#######.#.#####...########..#..####.##....#.#...#
#.......##.#.##.####.#######.##.##.#.#..#.########.#.#.##..#....####.##########..#####...###..###.#.####.##....###..##...#..##....##..##..#.###......#.#..##.....###.#.##.####...##..#.#.#..##.....#.#..####.###.###....#.##.##..#.####.....####..#.###.##.##.##..#.#####....#####.##.#..#...###.####.#.###.##.####.##.#..#.###.###.#.##.....##..##..##.##...#..##.#.#.##.###....#.....#.###...#.##....#.##..#####.####.####.#.##.####..#.....#.##...##....##.#.#..##.###.#.##.###...#.###..#.##.#.##......#.####.#......#...#.###.#...######....#.#.###.##.#######....##.##.####.##.####.#..#..#######..###.####...##.#######.#..#.#########..#.##..#####.#......#.....##....##.####.##..##....###.##....#.##.#######..#.#.#.#.........#.###.##.#....##.....#.###.###.#.##.#.#.#..###..###.###.####.....#.##.#..###.##..#.#..##.#########.##.#######.##.#.##.####.##.##########.##.#####...##..####.###.#.#.#....#.##.##.#.#.#.#...###..#.##..#####.#.##.#.#....#.####...##..#......#.#.#.#.#......##.#.......###.####....#..######.#.#
###.#.###........##..####.##..###..#.#.##...#......#.#.#..###.#..##...........##.##....#...##...#.#.#....##.#.###..##..#.#.##..#####.####.....#.#.####.##..###.#...#.###.....###..##.#.#.##..##.##.####..##...##...###.##..###..##...##.###...##.#####...#.##.#..##.......######....#.#.####...#......#.#...####.#..##.#.##.###...#...###.##..##.###....###.##.##..###.##...##.#.##.######...#.#..##.#.#..####.#.#...##..#.######.#####...###.##########.#..###.####..#...####.#...#######.##....#####.#.#......#.##.#.###.#.#.....###.....##.#.####..##.##.......##.#.##..#....#.##....####.#.##.##.##.##...#.##.#..#......#####.#.........##.#..##..#.##.#.####...#.#.###.###....##..##.#..####.#####.#.###...####.#.#########.##.#.#.....######.#.###.#.#.#.#.##############.#.##...##.....#.#.##.#.###########....#######..#.#...#.#.#.....##.#.####.###....####....#..###...##.###.#######....#.##..######.#.#.##.#..#.#.###.#.....##.#####.##..#..###.##.###....#.#..#.##.######...#.....##########.#.##...#....####.##....#######
#...#.##..#.#.#.####.......##.########..###...###.####.##.#...##.##.##.##.######..###.###.####.######.#.##..#.#...##..##.#####.##.....#.##.#.####....#.##.##...#.#.#...###.#...#.##..###..#######....##.####.##..###...#..##...##..#######..#.##.....##.##.##.#.#####.#####.##.##.#.###....###.#.##.###.#.#.#.##...###.#.##...###...###.#####.##...##.#...#..#..##..#####.###..#.##......##.##.#.###.#.##..........#..##.............##.#..##.......#.####.##......######..##..#.#..#.##.#######..#.#######.###.#..###...#####.#.###...#.######..####.##.#####.#.###.####.###.#####..##....#.#........#.##.#....#.##.######..##...#.##.##.#######..##....#.#...######.#.#...####.#####.#..##.......#.##.####..###.......##.#.#.#########.######.##.#...#.#.#.#....##........##..#..##.####.##.#...##.####.#......###.##...#.####.#.###.#...###.............##.###..###.##.##.#.###..........#.#.#.##..##.##.#.#####.#..#.##.##########.##....#...##.###..##..#.....##.####......##.#.#.###.#########.######..#.#.##.###....##.####...###
##.##.###.#.###..##..#.#.#.#....#.#.#..##...#.##..#....##.#.#..#.#..##.##......##..##..##...##..##.##.#.#..##.#.#..##..####.#...#.#.#...##.#...##.#.##.##..###.#.#.#.#######.#.#.##.#####....#.###.#.##...##..#######.#####..#.###..#.##...##.##.##.##..##.##.#.##....#####.##.##.#.##..##...###..####..###....#.###.###.##.#...#.#......#.##..##.##..##.##.###..##...##....##.###..#.########.#...#.#.#..##.####.##.##..#.#####.##.#####.###.#####......#..###.#.##......####.#.##.......#.##.##...#.#.#.########...##.###.##.#######.#......##...####....#####.##..##...##.....##.##..#.##.#.########.##.#.#.##.#.....###########..#.##......##.##..#.##.#.#....#####.###.#.####.##..##.#..#.#.#...##..#.#.##...##.##..#.#.#.###.#.#.###..#.#.##.##.##.######.#....##.#.####.##.##..#.#..##.#.#..#........#.#.##....#.###.##...........#...#.########.#.##......###......#.#..######.#.##...#.#.###.#..........##.##.#.#...........#..##.#...#..###.#.####.###.#.##....##.#.#.............####.....#.#.#..######....###.##.......#...#
#######...#####.##..##.######.#.....######.##.###.####..#.#.#.##.##.##..##.###..##..##..##.####.....#.#.#.##..#.#.####.##.....########.##..#.#.##.#..#######.#.###.#......######.##.#.....#.##.....###..###..##.##.......###.#...##....#.#..#.##..########.#..#..####...........#.#..##..#.#.##..###.##...##.######......##.##.##.##.###....#.##..###.##..###...###.###..#.##..#...##........###.###.####..#..##..######.#.....#..#.##.####.......#.##.######.#######.##.##.##.#.#..###.#.......#.#.....#........#.###.......#.....##..###.##.#..#....#.##.....#..##.###.##..#.#.##..#.##..#.#.....#########.#..###.#.#.#...##.#####.#..##.##.#####..##..#.#.##.#....##.#...........####..#.######.#####........########.........#...#..##.##.#.##.##..#.##.#.#.#.#.##..####.####..##...##..#.#.#.##.####.#####..##.#.#.##.....#.##.#.#.###.##.......##########.#...##.#.#.....##.##.#####..#####...####.#.#####..#.##.#.#.#.#.#.##.######.##.##.###..#...##...#.#..#.#.##..#.##.####.#.#.#......#####.#.##......##.###.#..##.###.##.#.#
#.......#.....#####.##....##..##.##....##..#..#...#....####.#.#..#..##.######..##..##..##...##..#.#.#.#.#####.#.#.##...##.##.##......#.##.##.#..#.####..##.#....##.##.#.###....###..##.##.#..##.##...##...##.....###.##.##...###.#..##.####.#.##.####.##.#.#.##.##.#..##.#.##.#####.##..##.#####........#.#.....#.###.#.##...#.##.##..##.########.#....##...##.##.....#.##.###.#.#..#.####.#..##...#....##.#.####...##...#.#.######..#....###.#####.##.#.###....##.####......######...###.#.#######.###...#.##.#.#.##..##.#.##.#.#####...####.##.##########.#.#####....#####.#.###..#####.##.#.#.#....###.##.##..##.###...#..#.#...####.#...#....###..#.####..#.###.##..####.####.#..###.##....##...##...##.#.#...#...######.#.###.###.##........#.#..##......#.#.#####.........##.##.#..#.##.#.#.##....#############.#.##.#####.##.###.#.#..#.#######.#.#.#.##.######.#######........########.###.###...#.....#########.###.#.#.#######.####..#.....##.####.#.#.##############.....#######.#.#.###.##...##.#.####..#.....##...##..#.#.#
#.###.###.#.#.##.....##.#.###.##..#.#####.###########.####..####.##.##......##.###.##.###.#.#####.#.#.#..#.#..#.#..##.##..##.##.##.#....#..###.##....##.#....#.##..##.#.....####...#####..#.##..##.#..##.#####.#.##..#...#.#...###.###..#.###.##..#.#....#.#.#..#....###.#..####.##..##.##..#.#..#.#.#.####.#.#.#..##.#..##.##.##..##.##.##.##.######.#############.#.###....#.#.##.#....####..##.##.##.##.#....##.####.##.#......##...##...#.....#..#...#.#.##......##.#.#.##......#######.####.##...#.#.####.#.#..#.############.....#.###..##...###.##.###....##.#.########..###.....#.##.#.###.#.##...#####.#######.####.....#....#.#.#.##.#.#...##...##.##..##..#.###......#.#.##.###..######.####.##..#####...#......#.#............#####.#####..##.##.##.#.....###.#.#.###..##.##.######.#.###.#...#.#.###.#...#.#.....#########...#.##....##.#.#.#....######.####...##.##.#.#..#.#.#.....#...###.##.#####.##.######..#.#....##....#.#.##.#.####....#.#.#.....#.#......##.##..#.#.######......#.####.#..###.###.#.####.###.##.#.#
####..##..#########.##..#..##..##.#..##.###.##.###.....##..###.######..#.##..#..##.##...#.#...##..#.#.##...##.#.##.##.#..##...#######.#.####....#.#####...##.#..##..####.##...###.##.####.#..##.##.##.########.#..#.##.#.#.#.#.##....##...##...##.....##.#.#######.#.##..##..##...#.##...#.##...##.#.#....#.###...##..##..#.##.##.#####...#.....##.......#.....##...#..##.#.##.####.#.#.####..##...#..#..#.#.##.##.#.##..#.#.##.###..#.######.##########.#.#..####.######.#####.#.#.###.###.......#.#####..#.###########.#.......####.##...#####.#........########..#.##.##.###...##.##.#..#.###...#....###.##..#.###......###.####.#.###.##########.####.##..##..####...##.##.######....##....##....##..##....##.####.#.#.#.#.#.##.#.#######.###.#.#.##...########.#########..######.##....##..#...#.#.###.......#.#.....#.#..##.##..###.#..##.#..........######..#.###..############...#...##.###.######...###..........##.#.##.####.##...###..#..##..#.##.#.##.##.....#.#.##..##.##...#.#.###.#####.#..#.##...###...#..##....#.##.###
#....####.....##.....#.##.##..##..##.....##........###..##.#..........######.#.########.#.##.##..##.#.##.######.#######.##..###...#.###....###.##..##.##.#####.##..####..##.#..####.......####..####..#.#.##.#.#.##.##.#.###.#####.#.##.#..###.##.##.#####.#..#....#####..##....#######.##..##.##..#.#.#.####...#..##.#..##..#..###.....#...#########.##...###..#.#.#.#####.##....#.#.#....#.####.###.##.#.#.##.##...##.####.#....##.###.####..........#.....####...#.###.##.######.......#.##.#.##.....##....#...##.##..#.#######.######.####...#.#.######..#.#.####.........###.##..#.#.##..###.##.##.#.#..##.....##.#.###......###..##....###.......##..#.##..####..####.#....#.##.####..######.##########.##.....#.#.#.#.#.#..#.#.....#.........#..#######...##......#.###..#.#.#..##.#..##.##.####.##..#.#.#.#.##.#.##.##.......############.########......##.#.#.#.###############...######.###..##..#.....#.#.##.#..###..#.......##.############.#.##.#.##.##.##.##.#######.....#......####.......####..#.##..#.#.####.###.##..##
#.####....#.######.#.#.#...######.###.#.#####.#.##..##.##..##.###.###....##..#.#.##...#.#.#..###..#.#.##.###.....##......##...#.#...####.#.###..##....##....##..##.##.##.##.##....#.#.#.#....##.#..##......#.#########.#####..##...#.##.####....#.##.....####.####..#.#######.####.#.#..##.###.###.#.###....##.##.##..##.##.###...#.#.#.#.#..#.#....#.##.#...######.#...######.#.##.#.###.##..##....######.#.#..##.#.##.##...##.#.##........#.######.#.#.#.#.##.###.....###...###...#.#.###.#######.#.#..##.#...###...##.#.#.##.....##.##....#.###.#..##.##.##....##..#.#.#.#..##.##.####..####...##.##.....####.#####.#...###.#.#####.###.###.#####.#.##.##..##....#.##....##.#...##.##.#####.#.#...#.....##..##.#.########.#.#.##.#####...#.####.#####.##..###.###.##.##...##.....##.##.##..#.#....##....########.##.######..#.#.#.....#..#.#####.....#########..#.#.#..#.##.##.#.######..##.#...##.####.#.#########..######.##.##.#.######.#.#....##.#.####.##.##..###....#.####.#.#####.#...#..#.#.###..#.####..##.#####...######..#
########.##..##.##.###.###......#.#.#.#..##...#.#..###..#.##..#.....##.#####.#......#####.##..##.##.###....####.####.#.#..##.####.#......#...##..##.###..#.##..##......#.##.####.########.#######.##..#.##....#.#.###...##...##..#.###....##.#.##..#.######.#......##.#.##...........#.###.#.....###...###.###.##..####..##...##.##.###.#.##.....##.#..#.###......#.#.#....#.#.###..#..##.###..##.#...#.#######.##.####..#.#.#..####.##.#.################.#......##.#.######.....#.#.####........#.#.####..#.#..##.####.#.#..#.#####..###.#.#..##.##.#..#.....########.###.####..##....##....#.#.##.###.#.##.#....##..#.###.######.#..#.#..##.#.##..###..##.##..#.##.####.###.#.#.....#...#.#...#.#...###.##.##..#.......##.#.#.#......##.##....#...##...##..#....####....#######.##...###..##.##.######.##.#....###.....####.#.###.#.#.#.##.#.....#####.#....###.#...#.##.##.......#.####..#...#......##.#.........##...##...##..#.#............##.##.#....######..####.#.##....#.#.....#.#.#...####...#.####..##.##...##..#.....###.#
##.......##.##......##.##..########...##.##.#.#.##...##.#####.##.#.##.....##.##.#.#...######.##...#...#.#.##.##.##...#.#.##..##...##.###.###.##.##..##..##..##.#..#.#.#####....###.#......#...##.....##.##.##.......#.#..##.######...###.##..#..##.#..##.#..##.#.#.......##.#.##.##.##.##..#.##.###..#.###...#..##....##..##.###.##..##.#..##.#######.##..##.##.###.#.##.#.#.....#.##.##....##.##.#.#......##...#.....#.####.##....#..###...........#.#.####.#.####..#....##..##.####..##..#.#.##.#.#....##.####....#........##...#.##...###.#.###.#....##.#####.#....#.###....#######.##..#.####..#..##.###..##.#####.#..........#.##...##.......##.######..##.##.####....##..#.##.##...#.....###.##.##....#.###.##.##.#..#.###.##.#.######..#.##.####.####.##.######..##......#######...##.#####....##.......#.##...##.##.########.#.###......###.........####.#.#.###.......#####.#...#####.###.#.#######.######.#########.##..####.##.##.###.#############....#####.########.##.#.#.#.#.#.#.#....#.###.#.##.#####..#..##.##.#.##.#.#
#..##.#.##...####.#..#####.......###.########.###..#.##...#.#.#..#.#..#.###...#.####.##.##...##.#.#.#####.##.....#####.#.###..###.##.#....####..###..##..#.######.###...#.#.######.####.#...###..##.##..##.##.#.#.#.###.##.....###.###...###.#.##..##......##..#.#.##.#.##..#..#.#####.#..##.#..#.##.###...#.#.###.########....#.###.##.#.##....#.######.##...#.##..#..#.#.##.#.##..#..##.#######.#.##.#.#.##.#.##.############.#.###.##..#.#.#.#.#.......####....##.#.##..##..#.##...##..##.###..###.#####.##.#.##...##.#.#....###.#..#..####...#.##.#.......##...#.##.#.#.##.....#########.##...###..#...##.##.....###.#.#.##.#....#######.##.#..#...#.#####..##..#####.###.##.#..###.####.#...####..###.####.#########.#####...###..##.#####.##.##.#.##........#..######.#####.#.#######....##..#.###########.##.#..#......#.#..#.#..#..##.#...##.######..#.#.#.#.....#.###....##...#...##....###.##.##.......####.#####....#.##.....#.##...#.........##..###.##.#....#.#.#.#.####.#.#########.########.#.#......#######...#.#....#.#
##.#..#.#..#.#....#.###....##.##...#...##.#...##..##.###.##...##.#.##.#...#.#.#..#.#.....###..###.#....##..#.#.###.....#..##.##...#..##.#...###...##..#.##.#...##.#...#...#....#.#.#....###...#.##...#.##...###.#.#####..##.#.##....####...#.#..##.####.####..##.#.#..#.###.#.####...###.###.##...##...##.#######.....##....####..##.##.#..##.#......#.#..##.########.##.#.####.##.######...#.#.###.##.#.###..#.#...##.#.#.##...####...##.#######.#.#######.###.####.#.##.###.##.##.#.##.######..###....##.....#..##.###.#.#.##.......###...##.#.#..###.#.#####..#####..#.######.#.#.##.#########...####.#....##.#####...#.#.##.#.##.###...###..#.##.#......##.####....##...#.#####...#...##.###....#.##.#...#.........##.#.##..#...##.....##########.#....###.##...###..#####....#.......##.#.##.##.........###..###.###.##.##...#####...######.######...####.#.....#.#.############.##.#.##.#####...#..#####.#...##.....#.##.#..####.#####.#######.#####..###.....#.####........##..#####...##.....###.#.#...#.######.##..###.#.##.#.#
#######.#.##.###.####.##.#..#..##.##.###....#..##.##...#####.###.###..#.#.#.#.##...#.#.#...##.#...##.#..##.#.#...##.#.##.###..######.#..#.#..##.#.###.###....######.#.#.######.....##.#.#...###..##.##.##.#...#.#..##.#######..##.#...##.######.#....##..####.##.####.#...#.#...#..#..#####..##.#.###.###....##.##.#.####.#..##..##..#..#######.##.#...#.###...#.###...#.###.....#..##....#.......#.##.#...##.#.##.##.......###.##.##.##.......##.#..####.#.#.#....#.#..#.#...##.##.###.......##...##.#.##.#.###.##....#.###..#.##.##..##.###..#.#.####.#.......#########...#.######.........##...#....#.#.##..#.....##.####..#.#..#.....#..#####..###.#.########...####..###....##.#.#.#..#...#.#.##....##.##.##.####.##....#.###.##..#.#.....##.#.....##..##..#.###.##.#.#.#.####.##.##.##.#.##..##.##.###...#.##....##.#.....###.#...#...###....##...######...#######............#..#####......#####.##.######.##..#.########.###.....#.#.#.###.###...##.#.##.####......###.#.##..##...##.####.####.#.....#.#.##......##...###..#.#.#
#.#.....####.##........#.##.##..#..#####.##.##.##.##.#.##.####...###.##.###.#..##.##.#.#.#.#..###..#.#.##..#.#.#.#..#..#.#...##......##.#.##.##.#..#######.#...##...###......###.###..#.#.#..###.##.#...#.#.#.####........##..#####.###......##.#.#.####....#######.#.#.###.#.#...###...##..##..#..##...####.#..#..#.##.#.##.##.#######.##..##...#######.#...#.....#.#.#...##.##.#.###.#.##.#.#####.#..#.#.#######....#.#.###.......#..#.#.#########..........#.#.##.#######.###.##..##.#.##.##########.##.#..##.###.#.####..##..#.#####....#.##.###....#.##.##....#.#.#..###...#.#..#.####.#####.##.#.#.#..########..#....#.#####.#.###.##.....#.###..#..#####...#....##...#.#.##..###.##.##.##.#..#.#.##......#.######..#.##...#.###.#.#.#.#......###..#.##..######.##.............###...###..#.##..##...##.######.#..###.#####.#.#####.###.######..#........#......##.###.#.###.##########.#####...#.#.......#.#..##.##.#.#...#.#####...#........###.###.#.#.......########.#####..###..#....#####....#######....####.#..####..##.#.#
#.#####..##..#..#.#.#.#####.##.##.###.....######..#..#.#..#.##.#.#....#..####.##...#.###.#.##.#...######..##.#.#.##.########..##.###.##.###..##.#.##.##..####.####.###..#.######.######.####..####..##.######..##..##.#.#..####......##.#.#.##..#.#....#.#.###.##.....#...#.#.###..########.##.##.##..#...##.##...#####.#.##..#...##.....##....#......######.##.#.##.#.#.###..##.####..#.##.#.....#.##.#####.##....####.#...###.######.#.#...#.##....#.#.###.##########..#.#.##...##..#.#..#......##.....#.#.##....#.####...##..##.....##.#.####.##..####.#####.####.#.#.##.#.###...##....####.#..####.#.##......#######.#.#....####...#..#.#.###...#.###...##..#.##.#..#.#.#.#.#..##...##.##..#.##.#######.#.###......##.####.#####...###.###.##.#...#.##.###..###....#.#########.#..####...##.###..###.#..#....#.#.##.##.............##..#...##.#..##.#.#.######.#.#############..##.#.#.#.....####.....##########..#......#.#......##.#.##.#####..#..........#.#.#........####.#####...##.#####....##...##..###.########....##..#.#.#
#..##...######.####.#.....#.##.##...###.#..#.####.##.#.##......#.##.#.##....#..#.###..##.###..#.#...#.##.##..#.####.###.#.#..######..##..###.##.#.......##......####.#.#####...#......####.#.##.##.######.....######..####....####.#..#.###.##.##.##.#.#.####...####.##.#####...##.......##.#..#..##.############.#.#.#.####.########.#.####.#.##.#####.##...#######.###...##.#.....##.#.##.#.#.#####.........##.#...##.#.#.##.......#.#####...##.##.###...#.#.#.##.#...##.#..##.##..##.##.#.#.#.######.########.###..#.#.#.##.###.#.####.####.#..##...##..##.#...................#.##.##....#.##....#######.#.#.......#####.##....#.#.#.####..####.#..##.#.##.##..#.##.###.#####.#####..#..#.####........###...#.######...#.#.....###...#..##..####.##..#...##...#.####.#.##....####...##.###...###...#.#.#######....#.###.#.#.####.#.###...###....##..#.#....##..#...###....##.####....#.#.#####..#.###....##.##...#####.#####.#.##.#..#.##.....##...#.######################....##.##.###.#.##..#######....###......##...#.##..##.###
##....#.#.#......##.#.##.##.##..##.##...#.##.#....##.#.#..#.#.##.#..#.#..#.###.#...#.##....##.###.#....#####.#.##...#.......##..#...##..##...##.##.#.#.###.#.#.##............####.##.##..#.......#......#.###..##.######.##.#####..#.##...#.#...#..###.#....###......##...###.####.###########.##.####.##.##.............##...###.#.#.#..#.###.##........###.......#..##.###..#.#.####.#.##.###...##..#.####.##..#.#.##.#.###..#.########.####..#.##...##.####....#...####.####...##..#..#.#.#.#...##...#.##.....####...#.#.##...#.#....#..#.#.##..##.####....#.########.###.####.#..#..##.###.##.##..#.#.#..####.########....##.###.#.#....##..########..#.##.##.##.#....#....####...##.#.####.###.#.#.#########......#.###.##.#.##...#.#.##..####..#..##.###..#.#.##........#.###.#####....##.##.#.#.###...########.#...###.#.######...#.#...#.########.##.###..##.#.....##.....#.####.......#...##...#.#.##.....#.....#.##.##.#..###.####..######.#.###########.#.###.##.....#####......#......##.##..#.##...##.###..###.#..##.##...#
#..##.#...##.#.#.##.###..##.##.###.####.#....##.###..#.##.###.#..##.####.#####.#########.######...####...#.#.#.##.#.#.###.#..##...#.##.###.####.##.###...#####.#..###.#.####..#.#..#####.#.#.##.####.####...##.....#.....##.##....##..##.##.##.##.##...#.######.##.#..#.#...###.#.......#...##.#...........######.##.##.####.##.....#.##...##..####.############.####.##...####.#..#.###..####..#.##.##....#..####.###..#...##.#....#.#.#....##.#.#..####......##...#.........##.##..##.####.###.###..#....#.#.#....###.#.#.##.###.#.#####......##.#....####.##.......##..##....#.#######.......#..####...##...##........##.#.##...#.#####.####.......##.##..#.##..####.###.##....##.##..#...#...##.#.#.........###.#######...#.#.###.##.#..##....##.#.##....#.##......#.#.#.#####..###.##########...#...###........#.#.#.#...#.....##.#####.#..........#.##...##..####.#######.#....#.#.#######.###..#######..#############...#######.....##......###..........#...........###.#.##..##.#...#.##.......####..#.##.######...#.#####..###
####..#.####.#.#.#..###.##...#.#......#.#.####..####.#.#...#####.##.##.....##.......##.......##.#.##...#...#.########.#...##..###.#..#.#....##..##...#.#..#.##.####...#.#####...##.##......#.#.....#....#.#.##.###...###.##.#..##..##.##.##.##..#####.##..##....##.##.###.####....#######.####.#.##.#.#.#####......######.#.....#.#.#.#..#####....#.######.....#....#.##.#....#.##.....##....##.#..#.##.#.###.##.....##.##.##..#.##.#.....##..######....##.##.##..#.#.#.#.#.###..###.##..#####.....##.#.#.##.###.########.#.##.#####.#######.##..####.#....#..#.#.#.#.##.##..##.#.......##.#.#.###......#..#.#..########.####..#.#.#..#.#######.#.######..##.###..##......#..####.....####.#...#..#.#.#.##.##.#..##..#.##.#.#######...####.####.#..#######.###.##.#.#.##.#.###.#.#.##.....##.#.#.###.##.#####.#.##.##.#.#####.#.#.#.##...##..##.#.###.###.##.###..####........########.#.##..#.#.....###.#####..##........##.###...#.##.######.###...#.#.##.#.#...#.#.#.#.#...#......##..##.####..#.#.#.#..#######....#######.....##...#
#....##.##.#.#.####...#..##.######.######..####.#....####.##.#.###..##.#.#####.#.#.####.#.#.##..#..##.####.####..#.##.##.####..##.#.##.###.##..##..#.#.##...####....#.#.....#.#.#...###.#.##.#.#.####.#######...##.#..##..#.##.#..######.######.##.#...##..####.##.#..##...#.##.#............###.##.#.#.....##.#.#.....##...#.###.######.###.#.####......#.#############.##.###.###.####..#.##..######..#..##.##.#.#.##..#.###.#.##...#.#.###....##..####...#..##.#.###.#.#...##.#....####...###.#.##.#.#..###.........#######...###....#.######..##..#.#.##.####.#.#.##..#######.##.##.##.#.#...#.##.###.##.##........#..##..##.####.......##..#......##..###...#####.#####...##.#.###....##.##.####.#..#.##.#.####.............##.#..###.#..#.##....##....##.##.#.#.##.#............##.###.#.#.######.....#.#.#..#######.#..#.#.#..###..##..#.#..#########...##.##.##.#####.##..#.##.#..#.##...###.#.#..#....##..#########.#.##.##.##...##.....###.#.#..#.#.#.#.#####.##################.....########...##.#.#.##.#......##.#.#.##.###
##.#.#.....#########.##.##...##.#......##.##.#######..##..##.......##..#.###.#.#####.##.#.#..####.##...#####..##.#....##..#.##.#..#.####...###.##.####.##.#...##.##.#.##.#.######.#.##..#.##.###...##......###.##..##..##########....#.###.#.####....#..#####....#.#.####.##....#.##.#.#.###.##...#.###.#####..#.#.##.#####.#...#..##....#...#...###.#.#........#.##.#.###...##..##....#.##..##....######.##..##.#.###..##...#.#..##.##.#..##.#.####....###########...#.#.##.##..###.###...#..####..#.###.###..#.#.#.#..#####..#...######......##.###.###.##.########..##....##....######..#.#####.##...#..#.##.#.#.#####.###..#....##.#.#.###.#######.#########.##....###.##.############..#..#.##...#########.#.##.#.##.##.#########...#...##.##.#####.#.##..##.#.#..#.#.#.#######.#####............#.##.##.####...#.#.#...#######...######.####.........##.##.....##..#..####.##.##...##.##.###.###.#.##.##.###.#.#.##......#......#.#..##.#.######.#.##.#####....##......#....###.#.###.##......##..####.....####.#.#####.#.###....#
#######.##....#..##...#####.###...##.###..##...#.###.####.#..##.#.####.#...#.####.#..##.#.##.#.##.##.#.....##..#...##.##.##....##.#....###..##.##....#..#.#.#..####.######....###.#####.#..#####.####.#.####...##.####....##....##.#...###.....###.#.#.##...###.##.#..##...##.#.#.####.#...#####.##..##.##.###.#.#..###.#...#.###.####.#.#.#...###.#####.#.#.##.#........#######.##.#.##..####..####.#######.#####...##..##.####.##...###.#####..##..##..........##.#####..#..#####......#.####.#####.###.#.#.##.########.#.##.###........#.#####...#...####..#....##.###.#.####.####.######.....###..###.##.##.#.#.####...##.###.#.#..#.#...#.......#...###.###.##.##...#.##.#..##........##.####..#....##.###....#.#..#.##..#.#...##.#.#.#.####......#.#.###..#.#.####.###.......#....##.##.#####.#####..##....##.##.....#....###..#.##.#########.#####.###..##.######...###.#.......#............#.....#..###........###.##.#.##.###.##..#.#......###.#......###.####.#####.##.........#.##.#.######..#...###....#.#.....###...#.#.##
#........##.#...####.###.#..#...#.##...##.##.#..........#.##.####....###.#..........##..#.#....##.##.##.##..##...#..###...##.#..####.#.#...######.####.####.####.....##....#.##....##...#.###....###..#.#....#.##.#..##.#....#.##..#.#.....#.###...#.###..#......#.#.##..#..###.#....#.##.###....##.##.......###.##.....###.#...####.###.#.#.#........##.#.#..###.#.######.###.###..#####...###............#....##.#.#..##.....#..###.##......#.##..#####.#####.##...#.#..##.##.....#.#.######......#...#...###.............##..##.##.##.##.##..#.###.#....##...#####.##..####............####.#...##...#.##..#.#.#....###.#...##.#.##.#####.#.#.#.#.#.#.......#.#..###.##..#...####.##.#.#####.###.#.##......#.#.##.####.###...#.####.###.#....##.#.#.###...#.##.#..###.###.#.#######.##...#..#######.###########...##.##.#.##...##.#.....#.##.#####.#####.#####....##..###.#...#.#.###.#.#.#.####...#.#...###..#.######.#..#....########.#####.#.#...####.###.###....#...###..#.#.####.##..###.....##.##.#######.#####.##..##.###.#..#
##.#.##.##..#####........######.#.##.#..#.##.###.###.#.##.#...##..#.##...##.#.#.###..######.#.###.#...#####..##.###...##.##..#.###.#.#####.#.#......##....####.###.###..#.######.########...##.#...########.##.##...#####.#.######.#.#.#########.########.##.#.#.###..####.###..#.#.#######.##.#..#.###.#.##.#######.#.##...######.#.##..#.#.###.###.##..#.##..##.#######....#.####.######.##...##.#.##.#.##.#.###.#.#.####.####.##....#.#.#.##..##.....#.....#..##.##.##..#####.#.##.#........######.#.###..##.#.#.####.##..#.#####...#.#####.##.######.#.##.#...##...##....##.###.#.#.#.#.####.###..###.###.#.#.#.##...###.#..#.#.#.....####.#.#.#.#######.#.#.#.##.#....##.#.#..#.####.........#.#.##.##.#.###.##...##..##.#....#.####..#.##.##.#####...#.#..#.##...###.###..########..#.##............##.###.##.###.##.#..#.###..#.#.#.#.....#.#.....#......##.#####.......#.#.#...#.#.#.#....###.#####...#.####.###....###.#......#.###.##..#.#.#.##....##...###.####.....##.#...##..#.##...#.####.........##...#.####.##....#.#.##
#..#.##..##.....##.#.#.####..##.###..#.##.#..#...#...#..####.####.###..#..#.#.#.####..##.##.###...#.#.....#.##...###.##...##.###.......###...##.###########..#.......##.###.##...##.###...#..###.#..##.##...####..#..##...#....##..#.#.........####........###.#..###....###.#.##.#.#.##.##....#.####...####...##.#..###..#..........#####.###.....#..##.#.###.....##...#.####....#...##.###..#..###.####..###.#.#.#.#..##.....#..##.#.###.#####.#..########.###.#......#####.##.#.##.#.#.##.#......###...##.#..#.#...##.###.#.#...###.#.#.##..##......###.##.#.#..#.#.####.###..##.#.#.#......#..###..##.#...#.#.####.#..####.#######.#.##.########.......#.###.#.##...#.#####...####....#.#########.##..#######..###.#..##..#.##......##.#..###.....###.##.#.####..#..#....##....#.....##.##.#.###.#.##........##...#.##.#.##...##.#.###...#.#...#.###...##.#.##....##.##.##.###.#.#.#.#.#.#.######....##.#............#####..###.##...##...##.#.###.##.##..#.#.#####.#..#####..#.#..#.##.##.#.#....##.#.#.#.#####......#..#.#.#######
##.#.##.####.#.##..#.#....##......##.#######.#.####.##.##.....##....#####.###.#....##.....###...#.###.#####.#..#..##.###.##...##.#.#.###...#.#..........####...###.###....#.####......#.#.##...####..#.####...###.#######.#.####..##.#.#####.#....#.##.#.#.#...#.##.######.....##.#......##.#.##..##..###....#....##...##.##.###.##.##.###..##.#.#.#.###.#..##.###....#....###.####.#.....######..####.#####.....#.###.####.#.###.#..#...#...#.####....#.############.#........#.#.##.#.#..#.##.#########..#.##.#.#.###....###.#.#...###......####.##.####.##.###.##.#...####.##..###.#.##.###.##...##..#####.###....#.##..#####.#.##..#......#.#.####.##.#####..#..##.##...####.##....##.#.........#..#####.##.##...#.#.##..##.#..#.#.######...##.#.##....#.#.##...###...#.###.##...##.##..#..#...###..##.#.#####..#.###..#.##.###..#.#...#.#.##.##.#####..#####..####..##..#...###.#######.#.##.#.###.###.###.##.#.#.#.....##...#.##.#....#.####...#.#...##.#.#....##.##.....####.#.#####.####.#.###########.#...###.#.###.###########
#..#.##...##.####.##.##.#######.###..###..##.#.#....##..###.#.###.#.#......##.#.#.####.##...##.##...#.########.#.##..#...###.##..#######.#.#####.#.####...##.#.#.....##.#....##..#.####.#.##.#..#.##....##..###.#.####....#.#.#..##..#.....#.#.#.#####.#.###.#.#........###.#.###.##.###########.####...##.#.#.##..##.###.#....#.#.......#####.#.###...#.##.##..###.#.##.###......#.#.#.#......##..##...##.##.##.#...#....###.#.####.#.#.#.#....##..##......#.#.#.###.###.#.#.##.#.####.##.#.##.......########..#.#...#.#.##.....###...#.#.#.##.#...#....###....######.#......##.###..####.#####..#..##..#..#..###.#.#..##..........##.####.#........#..#.....##.#.##...##.##..#..###.##..#.#.####.###..........########.##.######.######.#.#############.####.####..##.#.#...#..##.#######.##.###...#.#####.....##.#..###.#.##...#.##.#.#.#.#.#.........##.....##....##..#.###.####..#.#....#.#......###.....#.##.###.#.#######.####..#.#.##..#########.#..######.#.....#.##.##....###.#.###.##.#.........##....#...#.###.###..#.#.#.##
##.#..##.##..###..##.##.###.......##.....##..#.##.#..##...#.#..##.#.##.##.##..#.####....#.#..#.#..###.#...##...###..####...#.###.##.##.#.#...#####....#.#..#.#.#.#.###..#.##.##.##...##.#.#..#.##....######..##......#.#.##.#...####.#.#.###.#.#.#.##..#.#...###.#.####..##.#...#.##........##.....##.#.#..###.#########..##.###.##.#.#.##..#..#...#.###.##.###...#.#.##..##.########.#.#.#.######....#.....####.#.##########....#.#####.#.##.#..##..#.#.#.##.......#...#####..#.#.#.....#####..#.#.#........##.#.#.##########.#...#.#.###.#....##.###.######.#.....##.#.#########.##..##..#...#.###..##...##.##...#.##.#..#.###.#####....###.#.##.###.###.#####.#..##.##.....###..######.#.#....###...##.#.###........#.#...##......###..............##.....#..####.##.###.#.#####...##.##.##...#.#####..##.#.####.##...#.###..#.#.##.###.###.#.#.################.#..##.#...###..##...#.##.#...#.##.#####.###.##...#.#...#.#.###..####.#.###........##.##.....##.#.##.####...##.#..#.....##.####.#.#########.###.#.#####.####.#......#
#..##..#..##.#.##.#..#....#.#.#.#.###.##..##.###..##..##.##.#.##..###..##..##.#..#.###.####.####.###....######...##.#....#.#.#...##......#.#...###.#.####.##.#.#.#...##.#.##.##.##.#..#.####.#.##.##....#.##..#.#.###########.#.##...#.#..####.###....##.###.#...#....##..###.#.#####.#.##.#####.###..#.##..##...#..##...##...##..#########...##.###..##.##...#.#.#.#####...........#.#.#####...###.#.#.#.#....###......#.#.#.##.......#.#..######..##.###.#..##.#.##.#.....##.#.#.#.#.#...##..#######.##.#.###.#.#....#.#.#.#####.###...###.####....#.....##.####.#####....##......##.###...###..######.#..#####.##..###.##...#.....#.##...###.##...#...#.....###.###.####.###.##...#.#######.###...#.#######..###.##############.###.##.##.##.#.#.#..##.#.###...##.##..##.#.....#.#....##.##.#.#.....##..#####.#..#..#.###...##.#.##.#.....#.#.#...##.#.##..#.#.###.##..#.#..##.####.##..#.##.##..###.###...#.########.#.........##.####..##.#.#.#######..#.#.##.#.####....#..######.#####.....###.......##..########..#.#.#..#.####.#
#.####.##..###.#####.##.#####.#.###...##.###..###.##.##..##.#..#.##...###.##..##....##....#....#.##..##....###.######.#.##.#.#.#.#####.#.###.#.#...#...#####.#.###.#.#..#..####.##.#.##...##.###..##.##...##.##.#.....##......#..##.##.##....#...##.#.#..##..##.##.####..##...#..##...#..#.#..##...##.#.###..##.##.#####..#.#..#.###.#.####.#.##...####...##.##.###...#.##.#.#.##.###.#.......#.#...#.#.#.#.##..##.#.####.#.###..##.##.#.##....##..##..##....###########.#####.#####.###.####.##.##..######...###.#.##........#.##...#.#..##....##.#.#.##.##.....#...##..##....##.#..#.#...#.###.##.###..##.....#..#.##....##.##.##.##.##.############.###.#.###...##....##.....##.#.........#...##.##.....#.##...#.....##..##.....###.##..#..##########..###...#..#.#..###.##.#.##.#.#####.##.#.##.##..##.##.##.##.##.#######.##.#.#..##.#.##.#.#.#......##.##.#.#######.#.##.......#.##.#####.###..#....#.#.#.......##.##.#.#.##.......#.##..#.#....#.#..######..#....####.##..#.###.#.##..###...#.#########...##.#.##.#.#.#.##....#.#
#.##....##.##........##...#####..##.#..#.##..##...##..##..#.#.##.###.##....##.###.####.##.#.##.#####.###.###.......##.#.##.#####.#.....#...###.##.##.#.....###.#...#.#.###....#..#.#..##.###...##..#.##.###...#.#.#.#######.#.##.##..#..#.#####.##..#.##..##..###.....#.####.###..###.#.##.##....######...#.##.......###.##.#.##.#.#.#..##..#.#..#....##.#####..#...###.##.###..#.###.###.##.##.###.#.###.#.###.##.#.#.#......##.##..#.#.##.######.###..##.#.##.#.##.#.#...##.....##.#....##......##.....##.#..####.##.##.#.#....#.#.#.#.##..##.##.#.#.######.#.########..#.#.######.#.##.##...####...##.##.#####.##.##.##.##..#.#######...##.##.#######...#...##.####.######.######.##.#.#.#######.#..###...####.#.#.#.#..####.##........######.#.#.####..####.##.####.##...##########...####.#.##..#####..#.....#.#...##.##...#####.##..#.#..#.#.###.##.#...#.#...##..#.#..##.##.######..##.....##.#.######.#.##.#.##..##.###..#.#.#.#.#.##.##.#.#.##.##...#.##.##.#.##.######..........#.###########.#....#.#......#...........######
#.###.#.##..##.##.##..##.##.....##..#.####..##..#.##.##..##.#.##..####..##..#.#......######..#.##.....##.##..#.#.######.##...##..#.#.#.#.#...#.#...###.#########.#.#.#...#.#.##.####.###.##..####.####..####.####.###..##...#.##.###.####.....#..#.##..##.##.#####.#.##...##...##.#.#.#..#####.#....##..#.#..##.#.##...#.##.####.......##..####.####.###.....#.###.###.......#.##...#...####.####...#...###.#.####.#.....#.##..#.##.##.####...#..#..##.##..#.........#.########.#..#.##.#.###.#.#..##.##########.....###..#.#.####.#.#.#.##.######.###......###....#.#.######...##.#####..####......#..###......#..#..#.##.#..##.......###...........#####.#.#.##.#.........#.....##..#.#.#....##.#.#.####.#....#.#.###...##....###.###.#...............##...##..###....##.#...##.##.#..#....###.###..##.##...###########..##.#..#..#######.######.#....#...#.....###..##.#.##...#......#.##..#.#.#.........############..#..##.##.#.########.####.#.....###....####.#......##...####.###........##.#.....##.###.##.#...#.#.##.#.##....#
#..##.###..##..##.##.##..###.#.####.#...#######.#.#...##.####..####....##..####.##.#.##.##..####..##.##...##.###..##....#..#.##.####.#.#.##.#####.####........##.#.#.#.#######.....#.##..#..##.......##...##..##....##.#..#.###....#...##.#####.##.#..##...###.....#.######..#..###...#.##..##.#.#####.##.##.##.#..#.###..###....#.#.###..##.#...###...##.##.###.....##.#.#.#####.#.#.#....#...##.#.#.#...#....#.###.#.###..#.#####.##....#.#...###..#.#####.#.###.###.#####..###.####..#..####.##.#....#.##.######.#########...######.#.#.......#..###.#.#...#.##........###.#....##.###....#.##.#.##..####.#.##.###.#######..#.##.#.######.##.##.#.....#.#####..##.#.##.##########.##.###.##....###.##...##########...#######.#....##.#.######.####.#..#.#..##.##..#.##..#.#.....#...###########.##.......####.#.#..##..##..##...###..##.....##..##.###.#.#.###.....########.###.######.###.#.#.#.##.#######.#....#.##############...##.#.#..#####.###...#.#.###.###.###.###.#...####.##.##.####..#.#.#..#..##..#.##.#########....####
##..###...##..##..#..###...#.#...######.#.#..#..#.##.##...####..##..##..##..##..##.#.....##.##...###.##.#..#..##.##..#.##.##.##...##.#.#.##...#.###....#.##.#..###.#.#....#.###.#.##.###.#.##..##.##.##.#####.###.###....##...###.######......#..########.##...##.##......####.##...#.#####....#.#.#.#.##.##.##.#.##...#.###..#.##.#...##.##.###...#.###...######.#.##..#.#.....#.#.#.#.######..#.###.#.#.##.#...##..#...######...#.#..##.###.#...#.##...###.#...#.........#.##......##.#.##....##...##........##.........###.#......###.##.##.#.##...#.#.##.##..##.#####...#.#.####....#.#.##.##.#.###....###.##...#######.#.##.##.#.....#######..##.####.....##..###.##..#....###..##..########..##.##.#......##.###.###.##...##.####.#.....##########.#.##.##.###.#..##.#.#.#.#...###.#..##.##..###.##.####.#.#...##..###.##..#.....####.#.##..###...#.#.#...##.####....#.#...#...####..##.###.#..#...........##...............##.#....#.####..#####..#####......##..##.##..#.###.##..#..#...###.#.###.#####..####.......##...#.##.##
#########.#..####.##..##.#.#.#.###........##.#.##.#...#.#....#.######..####..##..#.#.######..###.##...#.##.#.###.##.####..##.##.#..#####.######.#...#.##..#.##...#.#.#.##....######..#...#..##.#...#.##....##.#.....###.##..###.......##.#.#####..#.#.....##.#.#..##.#.###########.##.....#.##.#.....#.##.##..#.#..#.###...####..#.#.####.##.....#.#...##.####.#######.##.##.####.#.#.#.....#####.##..#.#..###.#####.#.#......#.###.#.##...##.#.#.###..###...######.#.######..#####.###.#..##.#..###.######.####..#.#.#.#...#.####.#####.##..#.#..#.#####.##.###.##.....###.#.#.##.##.##########..#..##.##.######.####..##.....###..#.#.#.......##..#....##.##.##.##...###...##...##..##...#....#####.#####.###......#......##.###.##.####.####.#...##.###..#..#...#.#.###.###.#.###...#.#.##.....##...##..........#####...####.##.##.###...#.#..##.#.###.#.#.#..#....##.###.#.#.#.#....##..#..##.#.###.####.#.#..###.##.#.###########.#.##.####.##.#.##...#####.##..#####..##.#........###.#####......####.#.#########.#.#####.##.....#
#.#.......#.##....#####..#.###.######.##.##....####.#.###.#.####..####....##.##.##.#......##...#.#..#.###..#.#...##..##..###..#.####.....#..#.#.##.##.###.#..##.######..#.#.##.#.#####.#.#.##..##.#######.#######.###....##..##.##.#.###.#.#.####.#...##.###.#.#.###.#...##...##...##.###.###..##.#.####...#.####.##...##.##....####..#.#.##.#.#.#.#.#.##............#.##.#.....#.###.#.#.#.....####.##.##...#....##.###.#.##....######..#..#.#.#...##.##..#......######.#.#.##.######..#.###.##...#.....##....##.#.#.#.##.##....#.....###..##.#.##....####....#..###.#..######....##.......#.##.##.#####....###..###..######.#####.#.#.##.####.##.###.#..#..####..###...##.###.#..######.##.######.#...##...##.##.###.##.#.##.##......##....##...#......##.##.##.##.#.##....#.###...#........###..#.#.##.#.#.####.......#....#.#...###.###.#.#.###....######.##.###.###.....#.#.#.##.####.##.##..#..##...#######...####.#........#.##.#..........#...##.#....######..###..#####.##.#.#..#####....#.##..###.....#.#.#####...#.#.#..#.###
#...#.##.##.#######.....####...#.###..##.##.##...##.#.##..#....##......#.##..#..##.##.###.#..#.###.##.####.#####.#####..##...#####.#####...##.#....##...###.###..##.#..##.#........###.#.#..##.#..#.....#.##.......##.#.####.##..#.#.#.#.#....#.#####.##.##..###.#...#.#....######.##.#.#..###..#.###.###.#####...######...##.#..######...##.###.#####..####.##.#.######..#.#.#################..##...#.##.########..#...#####.#......##.#.##.#.##.##..###.#.#.##........#.........#.#.##.##..##.#.#.######.#.###.###.#..###..#.##.#############..##.#....##.#.#.####.##......##.#....###.#....#.##.....##.#...##.....##.........######..#....#..####..#.###..##..##...#.#....#########.............#.###..#..#.##...#########..##.##.####.#....####.########..##..#.#.##.####...##.##.#.##.#...#.##.#..###.#..###.#.#.###.#.##.##.####.#.###.#.#...#.##.#..#.##...#.....##.####.#.##..##...#.###.#.###.#.......#.#....####.#.#.#....###.#.##.#.###.###########.#.#..##.####.###.##.#.#.##.#.#.##########.#.#####.#.....#.###.###.##...#
###.###..##..###.##.###.##...#.....##..#.##.###.##..#.#..##.##.##.#.#.##.###.#.##..#...####.##.##..##...##..##....##...#####..##.........#....####.##.#.##....####....##..#.###.####...#.#.##..##...##.##..##.###.##..#....#.#..####...####.#....#..###..###...###.#.#.##.#...#.##.##...####.##.#......##.....#.#.....##.###..##.....####.##.#.......##...##..#.#....##..####.##.##.##....#########.###.#.........##.###.....#######.##..#..###.##..##...#.#.#.##.##.#.#...#.#####...###..###.#..#.#......#.#.##....#.##...#.###########.......####..#.##.####.#.##...##.#########.#.####.#.#.####..#############.##.#####.#.#.#..######.##.#.##....#.##..##.##..##..#.#.#.#.###......#.##.###.#.####.####.#.##.#..#....###....##..##...##.#.#####.#####.#####..##.###.##....##.##..##.#.###########.##..##.##.#.#.#.#..#########..........####.##.##......##.##.#.#.#.#..#....#.#..##..##.##.#...#...#.##.###.##.#######.########.#...###..#.#..........#####....##.......#.#....#.###.........#.##.##......###....#.###.#.#...####.#.#
#....###..##.....##.#....###.#.##.##..##.####.#.##.##.##.##.#######.#.####...#..#####.##.##..#####.#..#.##.###.#.##..#..##...#####.#.###.#.##.#....##.#####.#....##.#..##.#...#....#.#####..##..###.########..##...##.###.##.##....#.#....###.#.##.#####.#.##.###..#.#.##.#.#....#.#..####.#.#..#.#.####..##.####.###########..##.#.##.####..##.#.#####.#####.#.###.####.##..........#.####.....##....#.#.#####.#..#.#####.#.......#.###.##..####..####.##.#.####.##.#.##.##.....#.#...##...#.##.#.##.#########..##.#.###.##.............###.#....##.#..#....#.#.#..#.##...####..#.#....#.#.#....##........###..#.#..#.#####.#.##...#..######..#.##.#..##.######..##.#.#.#.#.....#########...#.#.##......#.#..#.#.##.##...###.####.##.#..###........#.....#..##############.##..###..#.#...........###..###.##...#.#.####.##..#####.#.#.#.##.#####.##.##.#########.#.#.#.###.#.#.#.##..##...#.###.#.###.##..##..#..........#.#.#.##########.###.#.#.######.....#.##..##.##.#...#.##.##..#.#.###.........######.#.########.#.#.####.#####
#.#.##.#.##..#.#.##.##.#..##.###..##.###.#.......#.##.##.#...##.....#.#.###.##.##.........##.....#.##.#..###...#..##.##..#.#.#.....#.#...#..#.##.#.#......###.####..#.###.##.##.##.#.....##.#..##..........######.##...#####.##.##.###.##...###.....#..###.#....#.##.#.##.#.#.#.##.##........#.##.#...###.##..##..###......##.##..#.......#.###.#...##....#.#.#.#####.....###.#.#.##......#.#######.#.###.....####.#....##.#.#.##.##..##.###..##..##.....#.###....####..#.##.#.#.###.###..#.#.#..#.##.##.#.#.###..#.###....#.#.#.#.#####..##########.####.#.#######.###..#......##.#.#.####.#.#.##..#.##.#.....#####.....##..#.#..#...############..####....##...##..#.#.#####.#......##.#.#######..##.#.#.#.##.#.#######.##..##....####..##.#.#.##...#####.##....#....##....##...##.#.#.###.###.#####.##...########.###...##.....#.#.###.#...##...##.##.........#.#.#.#...#######.##.#####.#.#...#...#.##.####.##.###.#.#........#......##...#.#.#........#####..##.##..#.###.#..#.##.##.#.##..#.###.#.............###.###.#.........##
#.####....##.###.##.##.#.##...###..###.#.###.#.#.#.##..#.#.#..#####.#.#.....####..#.#.#.#.####.#.#.##.#####..#.#.#####..##.#.##.##.###.###.##.#..#.##.#.####.....####.#.#.########.#.###.#..##..###.##.##.##.......##.##...###..##.###..#.#.#...#.#...##.....#.##.##.#.#..#.#########.#.##.#.###..#.#..#####.####...##.###..#####.#.#.#.#.#.#...#.#####.#...#.#.....##.#.##...#.###..#.##.........#.###...#.#....###.##.##.#.#..#.##.###.#...####.###.#.#########.#..##.#.##.#.#..##.######.####.###..........##.##...#.##.#.#######..###....###...#...##.#...##......##.#.#.#.#######.#..#.###.##.##.##.#######.#.#.#.#.###.#.##.##.###.##......##...###.######.##.########...####.#....#......#####..###.#..###...#.######.##..##....##.##.###.######..#...##.###.########..##.##..#.#...#..##...#.#..###........#.....####.##.####.##....#.####.##..##.#####.##.#.#.##.#############...#####.#.#.########.##..#...###.###.######.#.######.#######.##.##.....#.##..##.######.####.##..#.#..##.#..##.#.#.#.##.##.#...#..##.#.####.##..#
#####..#.###...#.##.####.####...##.....#.##..#.###..####.#.#.###....#.#.#.#....##.###.###....#.#.###....##..####..##...#####..###..#...#....####.###..#....##.##..##....#.....##.#####...#.###.##....########.#.##.##....#...#.###...#.#######.####.###..#.#.#.##.##.#.##.#.....##....###..###########...##....##.#......##.###...#.#.#.#.#.##.##.....###.#.#.#.#.#..#.#..##.##...##.#..#.#.#.#.###...##.#####.#...######..#.######....#.##.##.##..##.#.#.##.##.....##..########.#####.#.#..###...##.##.#####..#.###.##.##.####.#.##.##.####.....############..####.#.##.########..###...######..#.##..#...........#.#####...#.#..#.........##.#..##.##.......##..#.....##...#..#######.##.######.###.##...##.#...#........#.###.#..####..##..##...#.#..##.###.......##....##.##..##.#.#.###.#######.##.###.#.#######.##....#..#..##...#.######.##..##.##..#########.#.#.....#.#.###.##.####.##.#.#....##....##.##.#...#...#......#.####.#.#......#####.##.#########.##..##......#####.##.##.#####..#.#.#.#..########...##......####..##
#.....##.#.##.####..#.......##.##..###.####.####...##....#.####..#.########.##.#..##...####.######...#.##..##....#####...##..#####.#.###.#.###.#..##.#####..#.##.#####.##.###.....#.###.##.#....##.#..#.....###.#..##.#.##.###.#...###....##.#...##..##.##.#####..######..#.#########..###.....#.....##.####.#.#####.#.####...##.##.#.#.#.####..##.##..##.#####.####.#.#####.#######.#.####.#.#.##..###....##..#.#...##...##......##.#####..#...##.####.......##.##..##.##.....#.#.......##.#...#.##.##.....#.##..####..##.................###.#..#....#.#.#####....#..#..#.....#.##.###......#.#########.##.#.#####.....########.##.###.##..#.##########.##.####.#.#.###..###.##....##..#..........#..#.#..#.##.##.#.#.##.#...#.##.#..##.##.##..#.....##......#.#.#....#####.###..###.#...#..........###.###.....#.###..##...###..#.#.#.....##....##...##.....##.####.###.#.............#....###.#.##....####...#.#.#.#.#.#.#.##....##....#.######.#.###.......#.#..##.####.#.#.....#.##.#....##..#########..#....###.####.###....#####
#.##.##....##.#.#######.##.##...##.###.##...##...#..####.#.###..##..##.......#.##.#..#...####.#.##.###..##..##.#..##...########....#.#...###.....##....###.##.#...##...######.#.#.....#.##.##.#.#..#.##.##########.##.#.##..##.#.#.###.##....#.#.#..##..##.....##..##....##....####...##...###...##.##...#.#.#..##...#.###..#..#.##.#.###.##.#.##...#.##......#.##.#.#...##........#.#....#.#.#####..##.##.##.##.##.####.####.######.....##...####....##.#.##..########....##.##...##.#.##..#.#.###..###.#.##..##...##.###.#.###.##.#.#.#.#######...##.......##..#.##.###...#####.....######.####.#.##.#######.....#.#.###..##....##..##..#.#####.#.#.###.##...##.#.#...##.#......#.##..##.#.################.#...#.###..#.##.##.#....###.##..##.##.##....##########.#######....##...#.##.##.##.#.#.#..#....##.##.....##.##.######.######.####..#.##..#.###.##..#....###...###.###########.####...#####.#..###.###.##############.##....##.#..###.#...####.#.####.##.#....######.#.##########.##..######.#.##...####.###.#....######.#.#
#.#...###.###....##.....##..##.##....#.##.#..##.##.###...###...####.###.#.#.##..####.#.#.........###...##..#####.#####...##.##..#.##.#.#...###.#.###.###....###.#..#.#....#.#######.###..###..###.##......###..#.#..#.#..##.##.###...#..#.#.##.###.##..####.#.####..#.#.####.#..##..#.##.#...##.##...###...###.##..#.#...##.#.#####.#.##..#....##.###.###.#.###.#..##########.#.#.##.##.#########.##..#..#.##..#..#.##....##.......#.#.###..#....#.#.###.#####.##.......#.#######.###.#.##.##.#..###..####.##.##########...#...#.##.#.###....###..#####.####.##.##.##...#.#...#.#.#.###....###.#.........#.##..##.####.#.##..##.#..##.##.##...##........#..#.#.#..#.#.#.##.##.#.#.####.##..#...#####.#.##..#####.##...#.##.#####.#.#.##...##.##..#...##.#.......#.##.......##.#.##.#.#..#.#...#.######...#.#######.#.##...#....#.####.#.#....##.#..##.#...#######.##..###.###.................#.#...#.###.##.###.####.#.#.#.#.#.#..#.##..######.#.#.###.######.....####.###.#..###......##.....#.##.#.#.....#.#.......##.#.#####.#.....#
###.#.##....##.###..#.###..##...##.#.###..##.##.#####..#..####..##...##.###..##.##...#.#.##########..#..##...###.##....#.#.....##..#.###.#.##..#.#.....##.#..##.##.####.#...##.#.##..###...##..######.#.#.....##...##.#.##..##.##..#.#.##.####.##...#.##....#....#.##.#....####.#..##.##.#.#..#.##.#..##.#..##..##.###.#..#.#.....#.#.##.####.###..##...######....###.#..#.##.#.#..#.#..........#.##.############.#..###.####.#.########.####.########...##..#.##.###.#.#.....##....######.#..##..##.##.#####......#...##.##.######.#...###.##.##....##....###..##..##.##.#.#.....###.#.##..#..##.##.###...#############.##.##..#.##...######..#.###########.###.##.#.#.#..##.#.####.#..##.###..........#.##..##..##.##..#.....#.#.#..#.#..#.###.##.##..#.#######.##.##.##.#..#.#..###.####.######.####.##.....#.#.#.###.###.#....##..#.######..#.##..#.####.##....##..##...#.#.##.#.#####.#.####.###.#.......#...#.#.#.#.......#.##..#####.#................#.###.###......#.###..#.##..####.##........#.###.#.##.##.......###....##.##
#...#..##.####.##..######.####.##..#..###.##.#...##...###.#....##..#..###...##..###.##.#...##...##..##.##..###....##.#.####.#.##..##.#...#.##.##.#.#.###..#.###..####.#.###.......##...##.##..##......#.#.###..###.####..##..#..##.#.#..####.#####.####..##.##.###..#.##.#.#....##.##.##.####.#.##.#.###.####..##...##.#.##.##.##.#.#.####....#.#.####.###...##.#.....#.##.##.#.####.#.###.##.#....#.#.#.###.#.#####...#....#.#............##.......####....#####.#...#.#.#######.####.#.#.#.##..###........#.#.##...#.##..#...##.###.#.##......######..#######.###.#..##.####.#.####....####.##...#######.......#.#.##......##.#####.###...##............####....#.#.####..#.#...#..#.##....#.##.###.#......##..###..#.###.##.######.#.##.#..##.#...##.#..#####..##.########.####...#...##.........##..###.##...#####....##.####..#.##......##.#####.#.......##.#######..#.########.....###...##.....##.##.#...###.#.....#.##.#########.#....#.###.#.##.#####.#.###.######.....####..####.....#.##.##.##...#.####..##.######.#.########
#.#.#####..##..#..##......##.#####.#.##....###.#.###.##...##.#..##.####...#.###.#.#.##.#.#....#####.#...##..##.#.###.#####..#.###..#.#.#.#.##..#.#.#...##.#...#.##......###.#.##.############.##.#.##.#.#...####......#.##..##.#####.##......##.#.....#.##..#...###.#.##.#.##.#.#####.##...##.#..#.#...#.##.##..##.#####..####..#.###.#....##...#...##.....###..###.#.......#.#####..#..##..###.####...........#.#.###.#.#.####.##.#.#.#.#..##.#.##...###.###.#.#.##.####.......#........###..##.##..##.#.###.#.#..###.##.###.###.#####..##.##.#####.####....##.#.#.##.#....##.#......##..#.#.##.#.......#.#.#.#......###.#####..##.#.....#.##.#.#.#.##.###..#.#.####.#....####.#...##..##.###..#...####.#.#####.#...#####...#......#.#..###.##..##.###.##.....##..#..######....###.##.#..##.##.##.####..##..###..#####.#.##....##......##.#.#....##..##.#.##......#.####.#......###.########.##..#.#.#..#..###.......#.#.#..#.#.#.###.....##.#...#.###...........#....#.##.###....#.##....#.#.###...#.##.###....##.##............####.#
#.#.####..####.##..#####.##...#.##.#####.#.#...###...#########.##.....###.###.#...#.##.#.#.####.#.###.#.##.#####.#.#.....##.###...##.#.#.#.#..##.#.##.##..##.##.#..####...###..#......#...##..#..#.#..###.#....##.#.###..##..###.#...#..###.##....#########.##.##.#.#.##.###..###......##.##..##.#.##.##....###.##...####.###..##.##..#.##.#..#.##.###.#.#...##...#.##.#.#.##.....##.#.####..##....#.#.#.#.#.#.......#.#.###.#..##.###.#.#.##..###..#.#.....#...#.##....##.###.##.###.#####..##...##..############..##.##..##.........#.##...#............#.#####....###.####..#.#.#.##..##.#.##.#######.###.######.#......##.####....#.#.#.##.###.#..####..####...#####.#.#.#..##.##..##..##..##.#####..####.##.#.#.....###.###.#######.##..#..##....###..#.####.#####.##.#.#.##...##.#####..#.##..##..####...##..#.####.##.#.##..#.#########.#.##..##..#..##.#.#.....#####.###...#.....#..#####.#####.###..##.##.######.#.##.........#.#.####.#.######.#.#.#.##...##....#..###.###..#.#.##.#...###.####...#.##..#.##.#.#.#.####..##..#
#.#.#....##.....#.###.......#....#....##.#.#.###...###.#.##.....###.#.#...##....########.#.###....###.#.##....##.#...#.#.##...##.############.######...##.############..#..##.###.###...###..###.###.###..#.##.####...##.#..###..###.#.##....##.#....#.#.....#....#####..##..###..##.###...##..#.###...#.##..##.##.#...##...##.##.##.####..#.##.#..#...###.###########.###..###.#..#.#....##..#.####.#####.#####.#.###.#.....##.##...#.#.#####..##.##.##.##.#.###..##.###..###..#.###..##.####..#.###.........##...##..##.##..#########..##.##.##.###.#######.##..##.##.....##.#.#######...............#.######.#####.##.#.....#.####.#####..#..##.##......####..#..##.###...##.######..##.###.######.#####...##.###.#.#..##...#.......#.###.#.##..##...##.#.#......##...#.###.##.#..#.....######..##..##....###..##.#..#.##.#.###.#........##.#..##.##.###..###.#.#####.##...##.#.###.#...####.#....##...##.##.##.....########.##.#.#.###...##.#......#.#.###.###.####.####...#...######.##.###..##..#.#########.#.#..###.#....##..##.#
#.###.#.#####.#.#.##..###.########.#.##..#.#####.#.#........#.#.###.#.#.#..##.#..#.#..##.#.....####.#.#.#..#.##..##.##.###..#.#......##............#.####......##......##.#####.#...###..##.##...##..#.##.####...##.###..##.....######..##.#.####.##...##.#.##.##.##..##..####...##....###..#.##...##.##.##.###.#..#.#.##.#..#########.###.#.##.##.#.#..##.#.#...#.#....##.###..#.####.####..##....#.....#.....#.#..##.#.###..#..##.##.#.###.##.##..#.##.#......#.##...###...####...##......##.##.#.#.#.#####..##.##..##...##.........####...#.##...#......#..##.##...##.#.###.#....##.#.#.#.##.#.######..........###.##########........#######..###########.#..######.....#.#......##.###..##...#..........#..#####.####..##.###.###.##.#...#..##.##.#.##.#...####....#.....#.##.#.##.##.####.##########.##...##......#######..####.##.#####..#.###..#...##...#.#........###.##.#..##.#.#..#.#.###.##..#.##.##..##.##...#.##.###..#.#...#.###..##.##.##.#..##...###.#....###.##.#.###.##.#....#.####.......##########...####.#####....#
####..#..##...#.#..##.#..........###..####.##....#.#.#.#.#.##.#...#####.#.##..##.....##..##.#.###.#.###.##.#..##.##.#....##.####.#####..####.#.#.#.#.#....#.##.#..##.#.##.......##.##########..#.###....#....#.####.####..##.##......#.#######....##.####.####.##....##..##....#..##.#..###.#.###.##..##.##.#.#.##.#####..######.##........#..#.#..#.#.##......#.#.####.##.##..##..##.....##..##.###.#.#.###.###.#.##..#...##.##..#..###...#..#..#.####..#.#.####..##.##...#....#.#..#.###.######.#...#...####.##..##..##.##..#.##.##....###.###..###.#.##...########.##.####..##.#....#.#.#.####....#.#.##.##.#.##.###.#.###..#.####.###.###.####...##.###..####.##.#.#.#.####.#.####...##.##.#...###.#.#.#######......####....#####..###.#.#######..#######.###.######.#.###.####.##.##...............####.###..##.#.......##.#..#.#.....#######...##.###..#####.#.##.#...#######..#.####.......####.####...##.##..###......####.###.###.##########.#####.####.....###.##.####.#......#####.##..#.##.##.#...##.##....####.#....##.#.##
#..##.######.####.##..#.##.##########.##....####.#.#.###.#.#####.####...#.###.#..#.#..##.#..#........##..###.##..#..##.#..####.#....##.###...#.#.###.#.##.#.#####.#..#.###.##.###.........##..##..##.#####.#.####.....###.##..##.#.#.#.....##..#.##..#....#.....#.#.####..#######.##.##...#.#...#..##..####...#.#......##.........#.##.###.##.#.##.#.#..##.##.##......####.#..###.####.####..##....#####..##...###..##.###..#..#.###.##..#...##.##....##.#.#....##########.##.#.#.##.#..##.#.#....#.#.#.#....#####..##..#.##.##.##..#.#.##.....##.##..######...#########.###..###.#.##.###.#....#.#.##.############...#.......##..##...........#.###........##.##....#.#.#....#.#....#.#..####.###...###.#..##.#.###.#.######.#.....#.####.#....#.###.###............#####...###.##.#...##.###.##.#.#.#.#......##.##.#.#######....##.##.##.#.....###..#...##....##.#..#.###..#.##.####....###.###....#...######...##...#.##.#....#####..##........#.#....####.##.#.#..##.......#.##.##.##.....###...#########.....##.#......######..####
##.....###....##..##.##.#..##.......#..###.###...#.#.#...#.#........#.#.#.#.###.##.##.##.##.#.#.##.#..##...#.#..##.##..##.##.....#####.#...#.#.#.#...###..#...#.###.##.#....#...#.#.########.###.##......#.#....##.##...###..##..######.##.##.##..##.##.#.##.#.##.#...##.#####....##.##.#.###.#.####..##....######.#.#####.####.######.##..##.###..#.##.##..#.#..##.#....#.##...#.#.....########.####.######.########....##.##.#..##.###.#.###...######..#.#.######...#.##..#######..#.##....##.#.#.#.###.#####..##..##.####.##.###.########.####.###..##.######.##.###....##.#.#.#.#####..##.#.###.....##.#.##.#.#.###.#.#.#..#.##..#.#.##.####.##..#########.##.####.#.#.#.##.#.#.#####.##.....##.#########......#.###...####.##.##....###.##.#.......###.##.#.###.#.###.#..##.#####.##....#..#.#.###.#.##.#..######......##.#.###.##.##.#.######..##.#.#..########.#...##.........##.#.##....####.#.#......##.####.##.#..##.####..##.##.##.###...#.####.#..######.##..#########...###..###..##.#...#.##.###########.####......#####.#
#..#.#...###.####..#######....#####.####.....###.#.####.#####.#.##.####.#.#.....##..#..###..#.#.#########.########.###.#######.#.....###.#.###.###.######.#.#...##..#####.####.##.#......#.#.#....##.###.#.###.##...#.#.##..####.##.#.#.##.##..##..#.##.###..#.####.#.#..##....#.###.##.#..####....##.###.#..##....#....##..##...##.....##..#...##.#.##.##.#####.##.##.###.##.#.#.###.#...#.#..#......#.##.####.....##.####..#.#.##...##.#..##.#...##...####...##.#.###.#..#####.#####..##.#.##.#.#.#...#.......##..##.....#.##...#..#.##.##..##....##..#.#.##.#......##.#.##...###.....##.##.#...#######............##.#####.##..##.#.###.....#..#.##.#.#.#.#.##.#.##.#.###.##.#.#.....#..#.##.##......#.#.#.############...##.####..#.####..#.#.#.#.#.##..####...#.....#.##..#.#.#.####.#.###.###...#.###..#.###.....##.#.##.#...#..###.........##..#.#.##.......##.##.##..##.#.##.##.####.##..#.######.##.##....##.##.##.##......##..##..####..#.#........##.#.######........###.####.##...##..#.#.......###....##.....###.####.....#
##.#####...###.#..##..##...##....##..#####.#.##..###....#.#...#.##.#.####.##.##.##.###.####.###.......##.....###...#.......#####.##.###..#...#..####......#.#.#..##..##...##.###..#.#.##...#####.##....###..######.##.#..##...##......####.##.####.######...##...##.#.##.###.###.##...#.##....####..#..##.#.##..#.##.#.######..#..#.#.#####.#.#..#####..##.#.#.###...#...#.##.###.#...#.#.....##.##.###.#.......#.###.....#.##.#..###.##.##..#.#.#.##.#..##..#..#.......##..#.#......##..###.##.#.#.##.##.#.#.#####..#.#.#.#..##.###.......##..##.#..##...#.##...###.#####.##.#...#.#.#..#..###.#.........#####.#.##.......###########...##.##...##..........#.##.#.####.##..####.#.#.########...#.##.#..........##.##.##..####....#.##....##.#.#####.#.##.##.##.#.#.#.#########......#.#####....##.###.###.##...#.#.#..#.####.#.###.###..#.##.#.########..##.#.####...#####..#.######..##.#..##....#.#.########.###...#.####..##.#..##..##....#######.#.#.#...........##.###.#...###..######..##.#.#.#.#####.#.######.####........#####
#..##....#####.##..##....#.##.##..##...##..#..##..#######.###.#.##......#.#..#...#.##..#......#.##.##..####.##.#.#.###.##.##..#...###...##.######.####.#.##.#.##..##.#..#......########..####.######.######.#..##..####.##..#.#..##.#....#.##..#.#...#.####.#..#..###.##...###...###.#####.##....####.##..#####.#.##.#......##.####.#.##..#.#.#.#######.##.......##.###.####....#####.####.##..###........#.##.##...##.#.#######.##....#.##.##.#.#..#.##..##.##...#####..##.....########..##..#.#.#..#..###.#...#.##.#.#.###.##....##.#.#.####..#.#.####.##....#...#.....#.##.#.#######.#####...#.#.#.#.#.....#######.#.####.##.##.#...#..###..#....##########.......#######....###.#......##..#.#..#.##.#.#.#.#..........####..#.##..##.#..#.#.#.....#.##.##....########.#.####.######.##.####.##....#.#....#.#.#.#.##.#..#.#.#...#.#.#.##.##.#......##..##..#....#.#..#.#####......##....#.##..##...#.###.#.##...##.##....##..#.#.####.##.######.##..#.###.##.#.#.####....#####.####..##..#.#####.#.#..###......##.#...##.#.#.#.######
##..##.#.......##.####.#.#.##..#.##..###..##.##..##.#.###..#..#..##.#.#####.####.#.#####.#.##.#..#..##....###....#..##.##..##...#..##.#.#.....##....#..#.##.#..#.##..#.##.#.##..########....#.#.#....##..#....####...##..#.##.##.#####.######.##...#....##..##.##..####..#...##.##.......#.##.#.#########..#.####.#..###.#.##...##..#..##...#.###..#.##..##.#.#####...###.##.##.##.....#.#.##.#####.#############.####.#....##....#.#.##.##.##.#.##.#.##.###..#.#.....#.####.##........##..#.##.#.#.###..##.###...##.###..##..##.#.##.#.####.####.#.##......#####.##.###.#..###....#.####.####.####.#.#.#.##.###.#.##.#............###.##.#######.#.......#....###.#....##...######.#.####.###.######.##.#.#.#.##.##.##.#....##.#..#.##..#.##.#.#.#.#.#..#.###.#..........#.#........##.....##...###.######.##.#####..####...###.#.#...#..#.##.##.#######.##.##.####.##.......#.####.##.##.####.###.#..........#.#..#..#.#####.####...##..#.........##.####...#.#.#....##.#..#.####.#..###.####.#####.##.....#######.##.#########......#
#..##..##.####.##..##..#.#.##.##..##..##.##..#..##......##...##.##..#....##...##.#...##..#..#.##.##..#.#####..#.###..###..####.##.#####.#.#.#####.#...##.#..#.##..##.###..#..##.#.#.#.#..####.....##..##...##....#.#.#####.##.#......#....##...##.###.#.######.###..######.#######.#.#.###.##.#.........##......#.##..##.#..###..##.##..##.##...##......##..#.....#.#......#.##..##.##...#.##.##........##....#.####.#####.###.#.##.#..#.#..######..#.#..#...##.#.##.####.....##.#.##.##..#####.###...#.###...##.##...##.##..##..#.#..#.##.#.####.#.####.##.....#######..####...##..........##...##.#.#.#.##........#.#.#.#.#.######...##......##.##.#.#.##.########.######.####..#.#....#.#.......##.##.#.#.#.##..###..#########.########..#####.###.##.###.####.#########...######....###..###...###.##....####..##...##.#..####.##.##.##.##..#......##.#...#...##.#..#.#######.#####..#..#.#.##..#.#.####.#.####.#.##...##.....#.#.###.#.#.#.##.##...##..#.###.##.#.##.##.#.#..#.##.#.#...#......####.#.#..#.#.#...#...##....#.#.####
##..##..#...##.#..##..##.#..#..#.###.###..#####.##.##.#....#.#..###.#.#.###.###..#.#####.##.#..####.##..##...##..##.##...##.####...##...###....##.##.######.#####.#######.#.##........##.##...##.####..##.##..######..######..##.#.#.##.#####.##..##..###.#......##.....##.#.......###.##...#.#.#.#######..#.########.##.#.##...###.#..##..##.########.####.####.########.#####.##..#..#####...####.###....##...###......#...#.####.##.####.....##.#####.#.#.##.#..###.#####.##..#.##.###..###...##.######..#.##..##.##...#.####.####.#.........###...##..##.#####.##.##....###.##.#######.##..#..#.###.#.##.#.#.#.##.#.#.#.#......###.##.##.#..####.###...........####..##....##.####.#.###.###.#########.###..#.#####.........#####.##...###.######.##..##.#...........#..#.....##.#.#####...###.##...###.###...##..#..#.##...##.##..###...#.##.##.###..#.#.#########.#.....##....#.#####.#.#####.#.#..#####....#.#.##.#.##.###.#.#..##.#.#####...#.#..##.#..##.####.#####...#.##.##.#.#.###.########..####.......########.######....#
###.##.##.#..#.#.##..###.##.#.#####....##.#.##...#.#..#.#.##.##...#.#.###.######.#####...##.##....#.##.#####.##.###.####.#.......#..##.####.##.##.#..#..#.#....##..##.....#..##.##.##.##.#..#.#..#.##.##..###....###.##..#########.####.....#.###..##..##...##.#####.#.######.#.#.##....#.#.#.###....#..##.#....##....##.#..##.##.####..##.#..##.......#.##.####.#.#.####..##.#.######...##..#.#.#########..#.###...#.#.###.##.##.####.##...#####...###..###.##.##......#.##..####.#....##...###.##....#.####.##.######.#.#..##...##..##.#.##.#...###..#.###..........###.####...#......######.#.##...#.#.##.#.###.##.#.#####.######....#..#.##.#.....##.##.##.#.#......####.#..#.##.#.#...#..##..#####.##.####.#.##.##.#.#.#.#.##.#..##.#......##.....##..#.####.##.#####.#####.########.###.######..#.##......#..#######.#..#..#..##...#.#.#..#..#...##.#.#..####.##..#.#.#....####.....#.....##..#.##.....#.####.#..#####....###.#.#####....######.#.###.#.#####.####.#.#####..#.##.#.......#.##...##...##.##.########.#......###.###
#...#####.#.##.#.#####...##.###.#.##.######.#..###.##.#.#.#..#..#.#.####..###........#.#.##.##.####.####..##.#..##....##.#.####.##.###.#.....###..##...##...##.##.#####.#.####..##.##..####.####...##..####...##...####.##.####.......#.##.##.#.##.#..###.#.##...##..#..##....#.#.##.#.####.####..##...##..#.#.##..##..#.#####.....#.##.##.##..#.##.##...##....#........#.##..#.....##.#####.#..........#####.....########..##.....##..####...###.#...#####..##..###.####.#####.####.#.###.#...#####.#......#.##......#.###.##..###..##..#..#.#.####..##...##.#.#######.#.###..#.#.#.####...##.#####.######..#...###..#..####....###.#.##.##..######.###.##..#####.##.#...##.##......###.###.####..##....#....###.....#.#.#####......######.###..#.#.#..##...##....#..####.#####..#.#.##....#.##..#..######.#.####.......#.#.##.#####..#.#.###.#######..###.##......##.##.#.##.#......#.####.#.####.######.######.#.##.....##.#.#####..#..#.##......###...###...###..##.....#.###.#....#.#####......###..####.##....#.#.#...#.##..####.#
##.##.....#..#.#.....###.##..##.......##.#....##...##.#.#.##.#.##.#.##.##.....#.#.##.#.#..###.....###..##....##.##.#.#########..#....###.#.#...##.###.##..#.##.##.##....#....##..###..###.#.#....#.##.##..##.##..#####........####.#.####...#....####.##..#.##.#..#.###.###.#.#.#.##.#.#.##..##..##..#####.#.#..##.#..##...##..#.#....#.#..##.####..##.#..##.####.#.##.####..######.#....#.#.###.#.#.##...#######..###.#.##..##.#.####.#....#...#.#.###.....###.##..........###..##..###...#.#....##.#.#.#########.####.##...##..###.######.#.#..##..####.##..#..###.##.#...#.######......###...#.##......##.#.#...##.##..#.####...#.###...##..##.#....#####.....#.##.##.###.##.#.#.##....##..#.##..###.####.###..#####.#..#.###.###..#.##..##..##.####..##.###.#.##.##.....#..##......##.#####..##.##..##..#...#####.#.##.#.##.....##.######........#.##....#.#.##..#..#.#..###.#.####.#..###.##.#####.#....##.#.#####.#######.....##...##.##.##.###...#.##..#.....###.###.......#.##......##.####...##..##...##.###.#.#.###..##...##.#
#...##.##.#.####.##.##...##.#####.##.##....#.##..####.###.##.#.##.#....###.##.#.#..###.##.#...#.#.....######..#.#..####........###.#.##..#.#.#.##..##..#.##..######..##.#.######...##.....#.##.#.###.....##...##..#....#########...###.##.#.#.##..##..###.#.#..#.##...#..##.###.#..###....##..##..##..#.##.#.##..#.##.##.#.#..##.##.###.##.##...##.##..#.##....##.#.#..#.#..##.#######.###...###.#.###..#......###..#.....##..#.#########.#.#.#.#.#...###.#.##..#..#.##.#.#.....####..###.####.#.###.#.#...####.#####.####.#.##.##....#.#.########..##.....#.###......#.#.###......#.######.#####..#.#.##.#..###.####..##......#.###.#...#..#.##....##.....#.##.##..#.##...#.#..#.#..#.#.####...##.##.#...##...##.....####....##...####..#.##..##..#....##....###.##....#.#...####.#####.....##.##..##.####.###....######..#.##.#####....###..#.##.#.#..###.####.######.####..##.#..#####.######...##...##.#.......##.#.......########.#..####.########.#..##.#.#.#......#####.##....#.##.#..#######.###.###.#.##.#...#.#.###.########.#
#####..##.#....###...##.##....##..##..##.#.####.##.....####..#.##.#.##...######.##.###.##.###.#.#.#.#..#.#...##.##....##.#.#.#.##..#..##.#.#.#####.##.######....##..##..#......##.##..##.##..###.#...##.####.####...##....#....#.#.....##.#.#..#.####.#...#.####.##.#.##.#..#...####...##.#######..##...####..#.##.#..####.##.##.##..#####.#..#.##.##.##.#..#.########.....##.....##.....###...###...##.#.####.#.##...#.#..#.##....##...#.###.###.#.###...#..##.##.#.##.#.#.#####....##......#.#...#.###.#..#.#........#.######..##.#.#.#.##.#.##########.####.##.#.#...#####.#.#.##..............####..#.##...#.##.######.############.#####.###.#.##.#.#.####.##.##.########.####.####.#.##.###...#...#..##.####.#.###.#.##########.#.####..##..###.#..#.#.####.##.####.#.#...##...##..#.#.......##...##....##.#...#.###.#.##.....##.###.#.##..#.#.##..##..##.....##...#.##..#.##...##...#.....#....######.#.###..#.#######........#.#.##..........####.##..#.#.##.#.#..###...##.#####..##..##...###.####..#.##...#.....#.###.##.##..#
#...##..#.##.#...##.##...##.#####.##.###.#.##...#..##.##....####..#.##.###......##...#.#..##..#.#.#.##...###..#.#..#.##..#.#.#.#..##.##..###....##.#...##....####..##..##.#.#.###..##.########...###.##.#.##..##..#.#..##...#.##.##.#.##..#.#.##...##.###.#.#.....#.####.##.#.#....##.##.....#.#####..#...##.########.#.#######...##.#.##..##.#.#...#.#..#.##.....##.#.##.##..#.#####.#.##...###...######....#.#..#.###.#.####..####..#...##....#.#..##.#.#.##..##.#..#.#.#.....###.##..#.#.####.#.#.##..##.....########..#.#.#######...#.........#####.....#..##.#####..##.#.#.#..#.##.#.#.###.#...##.######.####.....##.......##.##.###.##..#...#.##.###....#..#.##.......#######.#.#....##..##.#...###.##...##..###...#................##.######...#.##.#..#.#.##...##.#.#.######....##.#.#.###....###..##..#.###.....######.##.##......#.#..########..##.##.###..###...##.##.##.#....#...###.#.##......#.#..###.........#.##.#######..###.##.#.#...##..##.###.##.####...#.#.##.....##..##....#.##.....##.#.##.#.##.##....#........##
###....####..###..#..###.##..##.#.####...#####.###.#..##.##....##.###..#####.#.##..#.###.####.###.#.##.####..####.######.#.#.#.##.#...##.##..#.##..#.#..####.##...####..#######...##....#.##.#####...##...##.####.#.##.###.#####..###.##.##.#..#.#.##...###.###.#.#....#..#.#.#.##.#..##.#.#.......#.##.####....#.#.#.....##.###.#####..#.###.####.#####.####.##.##.....#....##..#.####..##.####.#....##..#.##...##...#.###.###...###.##.###.#.##########.#####.##.#.##.#.##.####.###..##.#....#.###.##.##..###......###.##.#.###..#..#...##.#.####.##..#.#...##......#####.#####.##..###.########.###..##.#.......#.#.#..#.#.#..#.....##....####.#..#..##.##.######..#.#.#...#.#.###.##.#..#.##..##.########.####.....#.#.#.#.##.#.#.#.#..#.##.....#.#..#.#.##...##.###..#.#.....##.#.#######...#.#.#####..#.#######.#####.#.###...##.##.#####.#.....##.##..##...##...######.##.#..#.######...######.#.####.##...#.#.#.#.###..#.......##..##..#.#.#.#.##.##..##...#...########..#.##.####..######....######.####.#.##..##.#...######..#
####.#.#.###..##.##.##...##.###.....####.##.#..#...#.##..##.##.##...#.##.....#.##.###########.##..#.##....##...##.....####.#.#.#####.###..##.###..##.##..##..##.#..####....#.####.##.##.......##...#..##.##...##..#.##...#.#.#.######..###..##.#.#.##.###....##.#.#.##.#.##.#.#..#.##..#.#.##.#.#.##.##....##.#.#.....#.###......#...##...##...##....##.....#..###..#.###.########.#.##.##.....###.#.####.#..#.###..######....#####.#.##.##..#...#....##..##....##.####.###.........##.##.#.#.##.##...#..##.##..##.#............##...##.#..###.......#######.###.#.######.#.....#..##.#..........#...#.##....#.#####.######.####...#.#.###.#..###.##.#.###.##......#########.##.#..##.####.##..####......#..#.##...#.###.#.#.######.#.#.##.#..#.#######.##.#.##.#.##...#.#####.#.##..#....#.###.##.#.....##.#.......#.......#..##.#######....##...##.#####..####.##..#......#.##.##.#....###.#......#.#....##########.#.#...#########.##########.#.#.#.##..##..##.######.###.##.##..#.#.###..#...#.##......#....#.#.#..##..#.#......##.#
#....#....##.##...#.###.###.##..#.#....#....##.##.##.######..#..##.##.##.#.#.#..#...#.....##..##.####..#.###.#.###.#.##.#..#.#.#.....##..##..#######..##.#..##..##..##..##.#.#.####...##.#.#.####.###..#.##.#..##.###..#.#..........######.###.#.#.##.####.######.#..#.#..#.#.#.##.###.#.#..#.#.#.##..##.#..#.#.##.##.#...##.###...#.#..#.###.#####.##..##.###...####..##............##..##.#.########.#..##.#...##..#.#...#####.##.########.#.#...######.#..#.###....#...###.#.######..#.#.#..#.##.###.##..#..##..##.#.####.#.##..#..#.##...#.###.#.#....##.##..#..........##############.###############.#.#..####..#.##.....##.####..####.##...##.#.#.###..#.##..##.#.#.###..#.##....##.######...#.####.######.##..##.#.#......#.#.#..###.########...##.###..#.##.#.###...###..#.###.#.....#..###.#.#..#.#.#.######.#.##...#######.#.###.##..#..#.....##..##...#.##.#.##.#..###..#.##...#####.#######.###........#.#.#.#........##.........######.#..#.###.###............####..##.....##...########.####.#.####.#.####.#.#.######..#
##.#.#.#.#####..#.#...####...##.#.#.#.##.#.##...###...##....##.##..##.##.#####.####...#.#..##.##....##.####..#..##.###....##.###.#.#.###.###.......#.##..#.####.##.####.##........##.##..#.#.##...#.##.#######.##...####.##.##.####......#...#.#.###....##...##...#.####.###########.#.###.##.#.#.##.##..#.##.#.##.##.#.#.##..###.#####.#..##.#.#....##.##..##.#..##..####.#.#.##.#.####.##.#..........#.###.#.#####.....######...#.##.###...#.#.#....##..##.####..#.##.#####.######.######.#.##..#...#..##.##..#.#####....###..##.##.####.###...#.#...##..#####.##.##.#.##.......##.##..#.............##..#.##....##...##.##.##.....##...##..###..#.#....#########......#..###.#.#..#######....#.#.#.......###.#..##.######.###.####.##.##...##......#..#...##.#..#.#####.####..####...##.#.##.###..######.###.....##.#..#.###...........#..##.#.####.###..##..###..#.#######.######..######..#.###.#.#######.############.##.#.#..#.#.##.##....###.#.#####..##..#.#.#.#.##...##.######.##..#####..###...######.##.#.#.#..###.....##.##
####.#.#..#.###.#.#.###....#..###.###..#.#.##.#.#####..##.#.##.##.#####..#........###.#.#.##..#..#.##..#....###..#...####.##.#######...#..##.##.####..##.####.#.##....#.#..##.#.#..#####.###..##.##..#....###..#..#...##.#####....#.#.#.###.##.#..###.###..#..##.##...##..##.#..##......##.######..#.##.##..#.#.##..#.#.#..##..##...#.#.#.##....###.##...##..#######.###.#.#####..#..##..##.##.#.#########...#....##.###......#.###......##.##.#.##.#..####...##..##..#.#......#.......#.##.#.###.##.#####..##.##..##...##...#.##..##....#...#.#.#.#.#####...##...#.##.#..#.##.##..#....##.#.#.#.##.##..#.####..#.##..#.##..#..##.####..#..##.##..#######....#.#.##.##.#.#.##.#.....###......######.##.##.#.....#.###...#.########..#..#..#.#..#.#.#.##.##.####.#.##..........##....###..#.####...##....##..##..##.##..##.#..###.#####.#####.##.###......##..#####..##...#.#.#.....###........##...........###......##.#.##..#.#.#.#######..##.###.#####.....####.#.#####..##.######.....###.#.#.##...#.#..##.....#.###...##...#########
#....####.....#.#.#...##.#.##.##....##.###.######.....##..#.##.##.#.##..####.#.##...#.#.#.##.###.#.##.##.#.#####.#.###....##.#.......#.#.##..##...##.######.#.#.##.#.##.##.##.####.##....##..###.###...##...##.#.####.##.....#.######.#.##...#.#.##...##..###.#..##.#####......##..##.#..#....##..##..###..##.#.##.####.#.##..##..###...#..##.#####..###.###.......####........##.#.##..##..####.......####.##.#.##....########.##..##.#.##..#.#..####....##.###.###.#####.#.###.#.#.#....#.#...#.##.#.#######..#.#####..#.######.#####.##.#.#.###.#....##.#.#..#.#..#.#.##..#..##...######################.#..##..##########.##...####.##.##.###.......######...#######...##.#.#####.#.####.....##.##.##.#.#.#####.###............##.##.####.######.####...##..#..##.####.#####.##...##.#....##.###.##..######.######..#.##.........#...#.#.##...###.#.####.....##.##.#.....#.#.###.##.##.##..####.########.#.######.....#.########.#.#.#.###........###.#.##..#.#..#.#####..##...###.#..##......#.######....#.#######.#.#..#.......###
####..#.####.####.#.#.##.#.##..###.##...####......##.##..##.##..#...###.#....#..##.########..#####.#######.#.##..#...##.####.##.#.#.##.#.##.##..#..#.#..........##.#.##.####.....###..#.####.#.#..##.###..#..#.#.##....##.####.###.##.#.##.#.###.#..#.##.##.####.#....#.#.####.###..###.#########..##...#.########.##...###..####...##.##.##..###...####..##.#.###....####.#####..#.#######..####.#.##...#####.#..#.##.............#####..#.#####...##.##.####.....#..###..#.....#####.#.####.###.##......##...##....##.##....#.####.##..#.###.###.##.#.#..####.#.#.####.########..#..##.....##.#..#..#.##....####.....#..##...###...#####..#.#...###.#........#......##.#.................##.##.##.#...########.#....#.#########.########..#...##.....##.#####.#.##....##.....####.#..#.#.#.###...#..##.....##....####.#####.#.#.########.####.#..####...##.##.##...#.#.##.##.#...#.##..#.##.#####....##.##.#......#.#####.......##...#.####..##.##.##.#.#..##...##.....####....#.##..####..#.#.##.##..##########.##...#.##.#.##.##..##
#.###...#########.#.#.##.#.#..##...##.#...##.####.##..##.#...#.##.###...##.####.####..######..#.##...##....#..##.#.###..##...##.#.#.####..#..##.#.#####.###.#.#..#.#..#...###.##.####.#.##.#...#.###...##.######..###.##...#####....#.#..#.#.######.###......#.####.###.#...##...#####......###.#.####.##......##...#.#...##.#..##.##..##..##...###....##..###..##.####.......##.##..###.###....#.#..#####.#.######.###.##.#.#.##.##.########.####.###.##....###.######.#####.#.###.####...##...#..###.#####.#.#..#.###..##.#...###.....##..##...#.#..####.###..#.#...##....#..######....###......##.##.##.##...##.###...####.##...#.....#.######...#.##.##.#.##.####..#.##.#.##.#.###.################.##.#.##....#########...#####.#####.#########.#..#..##...#..##.###..#.#....######.#.#...##.##.####.######.#..##.....##.#.#....###....#.#.####..##.###..#..##.##.#.#..##.#.#....##.###......#.##.........######.....#.##.#.###.###.##.#####..###..#.##.#..#.###.##...##.##.#.##.####..##.#.....#.##.###..##...##.####..#..#..##..#
#..#..#.....#.#.###.#.##.###.#####..###.###..##...##.##..#.###.##..##.#.##..##.......##.#.#..##....#..####...###.#..##.########.#.#.#....###..#.#.#.#...#...###.##.##.###..##..###.####.##...######..#.#.......##.##...#.#.......#.#####.#.#....##....##.#.###.......##...#..#.###...###.##...#.####....#.##.#####.####.###....##..###..#.##..###...#.####...##..#######.#.##..#####......##.#.##.##..............#..#######.###..##...........##..##...########....#.#...#.#.#......###.#..##.#######.....######.####..##..#.#...####.####..##.#####...##...##.#.#.#.###.#...##...###.#..##.#######.....#.##.###....##.###.#..#.####.#.##...##...#.#..#.#######...########.#.##.#...#..........#.#.............####.#.#...#.###.##...##.#.#.###.....##.#.##..#.#####...##.#.#.##....##..#.#.######...##....##...##..##.#.#####.#.####.##.###.#####..#####...###.##..#.######..####.#..#..###.#.#.#..##.#.##.#...##.#.############........#.#...##..#..########.#..##..##.###.##.#.##....#.##..#.###....#.#...##..#..#....##.#######..##
##...###.##......####.##.##..##.###.#.....##.#######.#####...#####.##.#####..##.####......#.####.#.#.##....#...####..#.#........#.#.##.#.#...##.###...#.##.###..##..#.##..####..#.....#.#..#....##..####.#.##.########.#.#.####.######.#.#.##.#####.###..#...#.##.#.####.########..#......#.#......####.#.##...#.#..##....#.#####.##...##..##.##..#.#####..#.###......##.#.###..#..##.###.##.#..#.##.##.########.###...##.##...##....##.##.##.##..#####.....##...##...#.###...##.#####.######....##....#.#.##.##.....##..##.###.#.##....#.#.###....##.###..#.##.#.#####...#.#....#...#.#.###....#....##.####....##.######.#.########..##########.####.##.......#.#.....##.#.###..#.####.##.###.##.#.#.#.#.#####..#.......#........#.#....#.#.#.##.##.##.#.##.##.##....###..#.#..#.##..##.#.#......#######.#..###.###.##.#.....#.#..............##.##....##.#..##.##.#####.######....#####...#####.##.##.#..#.#.###..#......#.##.####.######.#.#######.##.####...#.####.####.###..#..#.##.#######..##.##.....#....#####.#.##........##.##
#..#..##.##.#.##...##..#.###.....####.##.#####........##...#..#.#..##.....##.##....##.##.##.##...#.######.##.#....#.#####.#.##.##.#..###.##.###...##.##.##.#...###.##..##.#####...#.#.####.###.####..##..###...#.##.##.###....####..#..#####....##....##.##.#####.#...##........##.##.##.#######.#....#.#.##.###.#.##..####..##....##.##..##...####...##..####...######..#...##...##..########.##.##..#.......##.##..#....##.###..##..#.##..#.###.#.....#.#.###.##..#.....##.##.............#.##..##.#.###.....##.##..#.##...##.#.#####...###...#.##....##.#..#.#..#.##.#.###.#####.####...##.#...#######.#..##..#....##.......###.##.......##...##...###.######.#.#.####.#.####.#....####..##....###.###....###...###.#.#.##.#####.##.#........#.#..##.#.##.##..#.##...#.##.##.####.##..#.#.##.#......##.##..##...#.####.###.#.#.#.#.#.##.###.......#.##..##.##.##............####....##.#.....######..#.##.#.....##.######.#..#.#....#....#.............##..#.#..##.........####.##.##.......##.##.###.#.#####...#####.####.####.##..#
#.###.#...###..###..#.##...##.##.#.#...#.#..###.#.##.###.####.#.####..#.#######.##..#.##.#####.#.#....##...#.#.#.##..##.###.##..#.#.##...##...#####..##.##.#.#...#.##.##...##.##.##.####.####...##..####..###.##.##.....###.####.##...######.#.##..#.##..##..##...#.#.#..#.#.#.##..#..##......##.##.#####.##...#.#.###....#.#####.##..##.###.###....###..##.####.....###.##.##..#.###......##...#.###.#.#.##.##..##.###.###..#.##..####.##.##..##.#.##.##.#..#####.###.##.##.###.##.#############.##.#..##.##.##...####.##.#..#.###.....#########.###.####.#.##.##....###..##...#.###..###..###.#.###.....#####.##.##....###.#......###.#.#..######.#.#........###.#......#...##.##.#....#.####.###....##.##...##.####.######........#####.#.#.####.###.#..#####.#.###.##.####.....###..##.#.##.#####.##...##.#..###.#......#.#.###.###.##.######.#.############.#..#.#.#.#.#.##....#.##..##.#.###.....##.##.##.#####.....##.#.##.#.####.####.##.##.#.##.######.#.###.#.###.###.#..##..##.#.#.##..##...###.....#.#.....#.#......######.#
########.###..##...##..##.###.####...###.##.....####.##..##........##.#..##.....##.##.##.....#.#.##.#####.##.#.#..#.###.....##.##.#..###.##.#..##...##..##.####.##..#..###..#.#...#.#.........#..##....#.##...#.....#.###...........#....#.#####..##..##..#######.###.##.#.#.#.##.##.####.#.#.##.##.....#.#..#...###...#.####..#...##.#..##..##..#.#####.....##..##.##.#.##.#..####...##.#####.##..##.#.###########.#.#...##....##...##.##..#.#####.##..#.####.....#.######...##.##........#.##.#..####.##..#.##.#...##.##.#########.#.##.......#...#....#.#..#.##.##..##.##..#....##.#############.#.#######.###...####...#.##.##.######.##.##...#.###.#.#.##..##.#.##.#.#.#.##..#.#.#######.#...#.#.##..##.######..#......#.#.#.##..#.##.###..###.##..##.##.##.#...#..#....####.####.###.#..#.....######..####..##.####.#.#.#.#....##.##....#.###.#.#.#......#.##.###########..##.#..##.##.###.###.#.#...#.##.......######...................######..#.#.#....#.#...###....##.##..#.###.#.#.###..#.#...#.#.#.#.#.#########.####.#.####
##.#.....#.#######..##..###.....####.#####..#.#..##..##.##..#.#.####..#.###.###.#..##.##.#####.###...#.#..##.####.#.#...#.####..#.##.#....#.##..#.#..#.###.#.....#####..###...##.###########.##.####.#.#..#####.#.#.#...##.#.#.###.###.#.....####.##.####.##........#.#..#.#####..#....####.###..##.#.#####.##.#.##..#.#....##...#.##.##..##.#..##.#...##.##..##.####..#..###.##.##.#.##....##..##.####...........###...#####.#..#.#..#####.#..#.##..##.##########........##.##..##.#.#.##...##.######..#..##..#.#.#######....##.....#....####.###.##.#.##.##.####.##.##...#.###.###...#..#...##.##.#.#.........##############..#.......#.##....#.###...#.#.##.#####.##.###.####.######.....#.#.#.###..####....#.#..###.##.##.#.#.#####.#######...#..##.##..#.#####.######.###.......####..#.###.#####.########..###.#....#########.###.#..##....##.......##.#.#.#.........#..#.##..#.###.##..#...##.#.##.##.##.##.#.#####...#.#.#.#####.##.##...#.##.####.###.####.#..###.#.....#.##...#.###.#.##.#.#.#.#.#.#.###......#.##...........#
#....#.#.......#.##..####...#.#..##....######.##..##..#####.###.###..##...#.#...##..#.##..######...#.#...##...#####.##.##.##...##..#.##.#.###..####.####...###.#....##.##.#.###...##.##......##.#.####.##....######.##.###.#.#...#...#.##.####.####..#.#..####.##.######.#..#.######.###.#...##.##..#....##..#.#####.#.##.#..###.####.##.######.##...####..#####..###.###...#....########.####.###..##..###.###.##########..#.#.####.####.####....#.##.......##....#.#.##.##.###.##.#.#..######.##.#.#####..##.#.#.......#.##.##.#.#.##.#....#...#..#.####.##.###..##..##.##..##.###.###.##.###.........#.#####.##..#...###..####.##.##.#.##.#.##..##.#.#.#..###...#.#....#..##....#.##.#####.#####...##....##.....##.#.#...#####...#....###.#########...##.....#.#.#.#..#.#####.#.#....##.###................#.##.###.##......#..###.####..##.#..##.#.#.###.#.#.##.##.#.#...##..##.#...#####...#..###.#######...#.#.......###.#.#.########.####....#....#.#.###....##..##.#.##.##..#.###.##....##.#.#.###########.####....##.##.##.##.#
#.#.##.##.######..##..#####.#.##..#.#.##.#######.##..##.....#...#...####.##.##.####.#..##.....##.#.#.##.###.#..#.#..##..#..###..##.###..######...##.#.####...####.######......##.##.....##.#.##.....##..#.#.##.##...##.#.#.#.##.###.##..#.........##.#...##.##.##...##...##....##........###..#..##.##.#..##.#....##.#.####.##....##...#..#.#.#.##.#.#..##.....##.......###.####......#.#....#...##.###...#..##............####...#####......#.#.##..##.#.#.####.#.#.#..###...#######.#.###.............#####..#####.#######..#..###.##.#.#.##.#.#.##....###....##..##.##..####.................##.#.#.##...#.#####...###...##.##.#...#.#.##.#..#.###.###.##...#.#####.#.#######.#.......#.##....##.#..##.#..#.#.###..#.#.#....##.###.####.........##..#.#..#.#...#.....##....##.#.#.#####...###.##.#.##.#.#.##......#..##.#.#.#.###...##..##..#######.#...#.###..#..#.#.###..#.###.#.#..##.##.#####........###.##.#.###.#...#.#.#......#.#....#######.###.#...####.##.##..#.##..#.##...#..#.#.##..#.#....#.#.#..#....#.#.##..##.#####.#
#########........####...##..#.##.##.#.#..#........##.######.##.##.#.#.####..##.##...#.####.##.##.#.###..##..##...##..##.#.###..#####...##......#.#.....##..####.#......##.#.###...#.##.#####.##.######.####.....###.#....###..#...####.##.###.##.#####.#.#.....##.#####.##..#.##..##.##.###..##.##..##########.#.##..#....#..#.#.###.#.##.#......#.#...##..##.####.##.#...#....##.##.##...##.#.####.#...#.#.####.#.##.####..##..#.......##.#.#.#..#.##..###.##...#.#.##..####..###....#.#.##.##.##.#.##.....##..#.##......###.##...###..#.#..#.#.#####.#######.###.##..##.##....#.#.##.##.#.##.#########..###..##...####..#..#.#####.####..###.##...#.#...##.#....#.####....##...#.#.#.#......##.##.#.###.#.##.#.....######.##..###.#......#.#########.#.#.##.##.##.#######.#.##.#.#.....##.##....##########..##.#.###.##..###.......#.###..##......##.##.##.##..##############...#.#.##....##.....#.#.#.##..##..###...#.#.#.#######.#.##.##.#..#.##.###.#.#.###.##.##..####.##.##.###.###.###.##.####.##.......##.#.##########......###
#..##.....####.#.##...#.##.##.##..#.####...##.###.##...##...#..#..#......##.#...##.##..##...#..#.#...##..#####.#######..###.#.##.#####..##.#.#.#####.###..##......#######.#...##.##.##.#......#.##...#...##.##.##...#.##..##.##.####.####..##..####.##.#.##.##.#.....##.##.##..#.##...###.#.##...##..##.###.########.#.#.###.#.#.##..#..###.###.####.#####.##..##..##.#.#.##.###..#...##.##..#..#.#.##.##.#....#.#.##....##.###.#.#.#.#..#.#.#.#.##..##..##..#.#.#.#..##..######...#.##.......#..#.#..##.######...###.#####...##.#.######.#.##.#.##.#.......####.#..##.######.#.#.#.####..#..#.........####.#.#####......#####...#.#.#.###..####..###.#.#..#.##.#.....##.##..#.#.#.#.#.#.#.#####.##.###...#..###.###.#.#.##.###..##.#.######......#.##.#.#..###..##.....#.###.##.###.#.######..#.###.##.#.#####..###....##.##..#####.###...####.################............####.####..#.#.###.#.#####.#.##.####..##.#.#.#.#..#..###.####..#.##.......##.........##.###...##.##.##...###.....#.#...##...##.#########........##..#.#.####
##....#.#...#########.###...###..##..#.###.##.##...##.##..#.#####.#.#.##..#.##.##...#######.#.##.#.#.##.##...........##.##...........##.#..#.#...##....##.##.##.#...##.#..##.##..#########.##.#..##.####..#.##..#.#.#.######.##...#...#.##..##.......######.#..##.#.##...###..#####.#..##....#.#####............#.##.#.#.##..#.#####.##..####.....##...##...##.#..##..#.#.##.####.#.#.##..##.##...#.##..#.#.##.#.#.##.##..###.#########.######.###..###.########.#.##.###......#.#.#.##.##.##.#.####.###....##..#...#.#.#.###..#.#....#####..###..#.##.####......#.##.....##..#.#.#...###.#.#####.#.####.##.#.#.##..#.##..##.#.###......###....##.#.#####.##.##.##.##.#####.##.###.#.###.#.....#..#...###.##..##..##...#.####.#####.#...#.#########.####.##..###.##.#.#....##.##...#.#..#.######.....#........##...##.#.##..##....##..####.##......#.##......##..#.########....######.##.#...#.#.....#.#.####.##.###.###.######.##.####.#.########.##....###.#.#..###...#..#.##..#.#...##.#.#####.###.#.#..........#.###.######.#.####.#
#..#.##.#.#.....#..##.##..#..###.##.##.#...#...##.#######.#.###...#.#.###.#.##..#.#.......#.#.##.#.#..#####.#.#.#.########.#.#.##########.#####.##..##.##.##.####.####...##...##..##.......##.##..#....#.####..####.#....#.####.#...#....##..##.#######.#...##.#..#..###..###.....#.#.###.#.##...##..###.##.#####.#..#######.#.#.....#####.#..##.###.####.###..#.######.#.##.#.######.###..#####.####..##.#..#.#.#.##.##.###..##....#############..##........##..###....##.#.#.#.#.#.##..#..#.#..##..#...####..####.#.......#.####.##.....##.####...##...##.##.#.#####.##..##.#.###.#..##.#...#########..##.#.#.#..##..#.###.#.#.###.##.#...#####....#.#...###...#.####...#..#.##..#####.##.#.###.##.##...##.####.##.#.....#..........#.#....#####....####..##....###.#.#.###..##.##.##...#.######.#.#.####.#####.###########..##..####.##..##.###......#.#.####.#........#.##....#.#..#.###.#.##.####.#..##..##.#.#...#####........##......#.####..##.###############.##.##..######.#..#.#..##...#.###.##.##.##.#.#########.##.#.#..#.#
##.####.#.##.##...###.#..##.##...##.##.###.#.####......######...#.###...###.##.##.###.#.###.#.##.####..##...#.#.#.....##...###......##.....##.#.###.#..##.##..##.....#.#..##.####..######.##...##...#.########.#.#..#.##....##..##.##.#.##..###.........###.#..##.#.##...##...#.#.#.#.#...#..#.#..##...#..#.......##...##....#.###.#....##...##..##.....#...####..##....#.##.......##...##.##.##.##...###.#.####.#.##.#....##....####..#.#.#.##.####..##.##.####.#...#.##..###.#.#.#.##.##.#########.#.#....##....###.#######...##..##.##.#....##.######.####..#....##..#.##..#.##..#.##..#.#....##...##.#........######..........##..###.#..##.##.#...##.#####.##...##.###.####..###....######.####.##.####.#.##.##.#.#.#...##.##.#.##...##.......####.#######.#...#.#.#.#.#######...#.#.......##.#.....##...##.....#.#...###..##.......#.##....#.#.#.##.####...##.#.##.####..##...##.#####.#.#.....####....###...##.####.##.###.#....#.##......#.##.............#.####...##.###.##########.#..#.....###...######............######...#
#..#....#.#...#.#...#.##.##..##.##..##.....#.##...##.#..##.##.#.###...#.#####..##...###...###..#.#....##..#.#.#.#.#####..#.##..##.#..####.##......###.###.##.##..##.##.##..#.#.##.##.......##.####.##...#.#.##.#...##.#..######.##..#.#..##.#.#.###.#.#.#...##.##.#.#..#..#######.#.#.#.#.#.#####..##.##.##.####.###.#..##.#.####..##.####.#####.##.##.######.#######.#.#..#.##.######.##......#.##.#...#.#...##.#..####.#....#.##.##.##.#........#####...#..#.#####.#..##...###.#.#..#.##.......#.#####.#.##..##..##.###.#.###..#.##..##.##.#######.###....##.##.#.#..##..##.#..##.#####.####.#..###......##.##.##.##.#####.########..##.##....###########.....##.#....#.#..####...####...#.#...#.#.##....#....#.####.#.#.#########.##.#..###.#.#............###.#####.#.......##########.#.#####.##.#######..##.#.##.#.###.##.#..###########.#.#######.....###..#.#.##....##..#.####.....#.#.#.#####..#.#.###..#.#............######.#####.##.######.##.#.##.##......##.##...............#.##.##.#.##...#..#.##################..#.###
#.###.#.#.##.##.##.##..#..##.##.###.#..#####.##.#..#.##.#.....#.#...#.#.....##..##.####.#...#.##.##.#..##.#.#.#.#.....##.#.#..###.#.##.....##.#.###...#...####..##..##..##.#...######.#.##..#...##..##.##...##.#.#.#..##....#.#######.#.###...#..##.#.#.#.#.##.##.#.#.###.......###.###.###.####..##..##.##....#.#.###.###.###....##...##..##.....###....#..........#.#.##.#..#....#.#..##.##.#####.#.#.#.#.#..#.##..##..####.#............##.#.#..##...#.##...##....##.##.#..##.###.##.##.#.#.#...##....#####.#..###........#####.##.##..##..#.##.....####..#..######..##..#.#.##......#....#.##.....##.#..#.##..#.#...##.####.###.##.##.#..####.#...#.#####.#..#.##.#...##....##.##....#.....#...#..##.#.##.###...##.#.#.##.##.#...##.##..######.####.#.##.####.....#.#.#.#.###.#...##.###.....#..#...##..####..#......###.#..##...........#.#.......#.##.##...####..##.#..##.#..##..###.###.#....###.######..##.##.#.#.##.##.....##.....#..###.##....#.#..#..#.##.###...#.##.####.#######.#..#..#####.###.....###.......##.#.##.....#
#.#...#.#.##.##..#.##.###..#.####...#.##.....##.#.#####.#.##.##.#.#.###.#.####.######...#.#.#.##.##.##.#..#.#.#.#.##.###.#.##...#.#.####.#.####...#.#.#.#.#.#..####.##.###.#.###......#.###.###.##.##.....######.#.####..##.........#.###.#.#.##..#.#####.#..#.####.#.#...#.#.#..####...#....#.##.##.##..##.#.##....####....###.#.##.#..##.##.#.#.######...######.#######..##.###.##.#.###..#..##...#.#.#.#.#.##.#..####....#.#.##.#.#.#.#..#####.####.##..#.###..##.#####.##.####...##.##.#.#.##.####.#..#.#####.#.###.#.##.....###...##..##....##.#######.##.######..###.##.#..##.#.#.#.####.#..##.###.####..##.....#.............##..####....#...#.......#.##.#.##.#.#..####..#####.#.##.###########..#.##..##.#..#.#.#.......###.##..##...#..#..########.##...#.#########.......#......#.######.######.###.####.#.##.....####..#.##.#.#.##.#.#.#.#.#..#..##.##....########..##..##.#.####..##.#..........#.##..##.#.#..#..#.##.##..###.##..##.####.####.#############.##.##...##.##.#.########...#.#...##.##.....#######.......#####
###.#.#.#.##..##.#.#....####..####.######.##.####.....###.##.#..#.#..##.#.##......#.#########.##..###..#.##.#.#.#..#.##..#.#..#.#.#.#....#...###.##.#.#.#...##....#.##...###.#######.##.#.....#..#####.##...##...###....####.#.#.#.##.....###..#.##....##.##.#.#....###.#.#.#.##....###.##.#...##.##..##..#.#..##.#....###.##...###..##.##.#..#.#....##..#......#.....##..##...##.##.#...#.###..##.##.###.#########....###.##.####.###.####...#####.##..####...##.#....#.####...###.###.##.######.##.#.##.....##......#.#..#####...##.##..######....#.#...#.##..#.#.####.###..####..#.#.#....#.##.##...#...##.###.#.###.#####.#####.###.##.##.#...####.#########.#..###.##....#####..###.######...#.##########..#.#.######.##.##.#...########...###........#####.##.......####.###.##.#.#.##.....##...............#######.#.##....##..#.#.#.##.#.#.#####.##.#####..##..##..####..##.##......##.##.###.##.#.#.#####.#..#.#.##.####...##...#####......##.#.#...##..##.#..#####.###.###.##....##..##..#...#.#.#..#..##.####.....##.#.######
###.#.#.#.##.###.#.#.#.###...##.#...##....#..#....#.###....#.##.#.##.#######.##.#..........##..##...##.#.#..###.#.#####.##.##.#.#.#.####.#.#.#...##.#.#.##.##..#.##.#..###......##...##.##.#.##.######..#.######...###.##....#.#.#.##.#.#####.#####.##.##..###.##.#.#...#.#.#.##.#.##.#.#..##.##..###.#..##.#.######.###.####.#...##.#...####.#.##.#.##.###.#####.#.#.#..####.###.##.#.#####.##..###....#....#.###..#.##....#....#..##....#.#....##..##.####.#..####.###....#####.###...##......#..#.###..##.##..#.#.#####.....##########..#.#...##.....#########........####....##.#.#.#.#.#####.##.#.#.#######..#...#....##.....#..#####.##.#.#....#....##.#.###.######..##..#....###.........#.....#...####.##.#......#.##.######...##...######..#.###.###.#..##.#####...##.##########..##.#####.##.###############.##########..#.####.###..#.#.....####...##..####..##....#.###..#.#.#######...##..#.###...##..##.###.##...####.########.##.###.##...#.#....##....##.#.###.#.##.....##..##..##.##########.##..####...###.##.#......#
#...#.###.#....#.#.#.#...##.###.###.###.#.##.##.#.#...##.#.#.##.###....#.##...#.#.#.###.######.###.##..###.###..#...##..##.##.#.#######..#.#.#.#.#..#####...##.#..#.##...##.#.####.#.#..##.#.##....##..##..#.##..#..##..##.#.###.#.##.#.....#.....#.##.##.##...####.#.#.#####..#.#.##...#.###.###...####.##.#.....##.#.#....#.#########.###...#..#.#..#.##......#.###.##...##...#.##.......#.###.##..#.###.#.....#.##..#.#.###.######..##.#.#.##....##..#....####.....##.######.#..##.#..#.#.#.##.##.##..#########.###.#.##.#######.##..##.#...#.#..#.###.##......###.####.###.###..###.#.###.....##.#.#.#.####..###.##########.###.##.....##.#.######.##......##..#..##..####...##...##.#.#.#.##.#.#...#..##..##.#.#.#.#####..##....#....#......#.##...###...##.##.#####.#..###....##..##.#......#.#............##.#...##.#.###..##...##...##.#.#.######.###.##.##..##....#.#####..##.#......##.#.##.##...#######.##..##.##.#...##....###....#...#.#..#####.##....####..#.###....####.####.##.##...###...##...##..#.#.#..##..#.##.#####
#.#.########.#########.######.......#...#.#..##.#.##.##..#.#########.#....##.##.###..##.###..#...###..######.#.##.#####.##.##.#.##.##...####.#####.###.###.##..#.####..###..#....###.#.#####.#######..###.##....##.###.##..#..##.#.##.#.#####.###.#..#.#...##.##....#.#.....##.#.#####.##.#.....#.#...##.##.#.##.###.....##.#...#.#.....##..#.#.##.#.##.###.#####...#.#..####.#.#..##.######.#.#.#####..##.##.#.##.##.####.#.#.....######.###..#.#########.#....#.#.#.............##..#.####.####....##.##.....##.........#............##..##.##.##.#.###....##.#...#.......##...##..##.#..##.#.#..#.#.#....#.#####........#.##..##.##.#####..#....###..##.#.#..##...##..##.##.#..#####..#.#.####.####.###.##.##..###.###...##..##.###.##.########.##.#####.#######.....####..#..####..###.#.#.#######.#.#.#######..#.####.....#.###.#..##.#####.#..........#..#..#.##..#.#####..##.#..#.####.##.#.##.#########.####..###..#.#.#..#.##...##.#.#.######.##.#..##.#.###.##.#.#.######......##.....###.....#..##.####.....###########.....#
#.#...#.###...#.#.##......########.##.#.#.##..#.##########.###.#.....##.#..#..#.####..#.....###.########.#.....##.###.####.#..#.##....#...##.##.#..##......#..##.#.###.####.#.##.##..#.#..##.......##...#..#.##.#..##..######..###..#.#..###....###.##.#.#.##..######.####.###.#...#.####.#.##.######..#.##.#.####.#.###.######.#...#.#.###.######.#..#.#...#########.##....#.####.##.######...#.....#.##...#.######...##....###.#..#.#.######.#....##.#.#.#.#.##.###.#.#####.#.#######..##...##..#.##.....#.#.###.#.###.###.####.###.####.##.##.##.#.....##.##.#.#.##.#########.#####..##.######.##.#.#.##....##.###.#.##....#.###.#.....######.###.##########.##.#..##.....####.....##.#.#####...#.###.#.##..##..##.....########.#....#...###..###..........##....#.#######...##.#..##.###.#.....#.#####....##.##....#...#######.####.##.....#.#.#.##.#.###.#####.#..##...#.##.##.##.#....#########....##.......##.##...##.#.#.##..###..#.###....#.###..#.##..#.................#.###.##..#.#...########..#.####.#.#..#.#.##.#.#.#.###
####.##.....#......#.#.#.##.##.....##.#.#.##.#####....#.####.#...#.#.##.#.###.#....##.#.###.##.....##......#.#.##........#.#.##.##.##.#.#..#....##.###.#.#.##.##.....#.#.#..########.#.##....#########.#######..##..##..##....##########...##.#..#########.##.##......###....#.#.#......#####....##...####..#..##......#....###.##.####.#.#......#.########........##.#..#.##....#.#.........###.###.#.###.#####.####.###.##..##.##.....###.#########......#.######...#....####.....##..##..#.#####..##.####.###...#.##..#.#....####...##..##..#.#..#.###.##..#.#.#.##.........#.....##.##.#.#.....###.###..##..#.###.#..###.##.##....#.#...##....#...........###..##..#.#.#.##.####.##..#.....###.......#.##.#########.####...##..#.##.#.###...#####.#.#.#.#.##.#.##.....##..####.##.##.######.####..#.##.#.##.....##...#............####.#######.###..#...####......##..#.......####.#.######.......##....##.##..#..###.##.#######...##....#######.##..##..##.#.#.#.##.####.#.###...#..##.#.#.#........####..##..#.##..........#.#.#.#
##.#..#.###.#.#.######.#.....###.#.#..#.#.##..##.####..........#.#.#..###...###.##.##.#...###..#.#..######.###..###.#.####.#.####..#..#.#.###.###...##.#.#.#..##.#.#.###.##.......########.#....###.##.#.##..#####.###.####.#......##....#..######.#.##..#.##.#####.#...#.##.#.#.#.######.....#####.#..######.#####.#.####.##.######....#...##.###....##....#.###.##..#.##.##.#.##.##.#.###.##.....###.#............####..##.#####..#.###.#...#.########.#.#....##..#.##.#....##.#.####..##.#.....##.#...###.##..###..##...###.###.##.####.##.#####.########.######..##.####.###.###.##..#...##.#.####...##..##.....#.#.#######..##.#.#.#.#####.#...#######.#..###..#.####.#.......#..##.#.###...###.#######.........##......#.#####.#..#####.####.########.#..#.######.#.###...#..........##....#.##...##.#....#.#..##.####.####.#.#.##........##...####.#..#.######.##.##.#.###....###......###.#.#.#..#.###..#.#####....#...###.#######.#..##.##...#.####..#.###.####....###.####.##.##..#.#.#.####.#...###.##.##.##.#.#####.##.#...#
#....##.#...#.#.....##.#######...####.#.#..##....#.###.####.#.##.#.##..##.#..##..#.##.##.##...##.#.##.#......#.##...#....#.#..##..###.#.#.##...###.###.#.#.#.##..###.##.....#.##.##.#.##.#.##.#...#.#.......###......#...##.##.#########.##..#.#........####...##...#.#####..#####.########.#.....####.....##....##.#.#.####...#.#...##.#.#.##...##.###..##.#.#########..#.##.#..####.####...##.##..#####.#.##########...#####...##.#.......#..........###.#.##..####..###.#########.###..###.#.###..##.##.#####..##.##..#######...##.##.###....##.......##..#.#.#####..####...#...####.##.###..#....#.#####.##.#.#####.......##.##.#####...##..###.###.###.####.#.##...##.###.#####.##..#...#.#.##.......##.#.####.####.###.#....##.##.....#..#.#.#.#.#..#.#.##....###.###...#...##.###.#..###.##....#..#.#.#.####.##..#.##.########.##.##.#.#..###..######....###...##..#.#...#.#.##...##.#...########.#...#.##...##..##.###.#.#.....##..##..#..#.#.....##.##..##....#.##..##....#..#.###.#.#.#..###.###...###..##.##.#.....#..#.#.###
#.##..#.#.#.###.#.#.##.......###..##..###.###.#.##.....##...####.###..##..#.####.#..#..#.###.#####.#....#.##.#.####.#.####.##.###.#...###..#####...#.#.#.#.#..##...#..###.#.###..##........#..#.###.##.#.#.##...###.##.####..#..#.#.####..##.....##.#####..##.##..#.#.....##..##........###.##.##..#.##.#.###.##..#.#........#...###.##.#.#.###.##..######..#....#...###.#.#..#.##.......######..#.##.##..#..........#.#.....#.#.##.##.##.####.######.##...#..#.###...###.....#.####.#.########..##.##......#.##########......#..####.##.####.#..#.#.#.#..##......##.##.#..#.########.#..#...##.#.#.##.....#.#..#.....##.####..###.....##.#..##...#.......#......#.##.####.##......#..##.#.###.#####.##.#.##.#....#.#.##...#.##.########.##...##.#.......##.#.##.####.....#.#.#.#..#...#.##.##.....#.###.#.#.#...##..##....#........#.####..#.#.#######.#####.###.#.#.##.##.#.###.#..###..########.#.##..#.###..##.#######..####...#######.###...##.#####..#..##.##.####..#.###.#########...#.###.##....###########..####.#.###.####...#
#.##.####.#..##.###.##.###.#.#...####..##.##..#..####.###.#.#....###.####.#..#.###.##.##..##.##....#.#.##.#..###....#....#.##...#####...##..##...#.#...#.#.#.##..#.#.##...#..###.###.##.##.##.#.....##.#.#..##.##....#....##.##........#.####.##..#######.#####..##.#.###.#..#####.#.#.##.#.##..#.##.#..#...#..#.#####.#####.##.##...##.###.#.#.###.....##.###.#...###.######.#####.##.#......#.##.....####.#######.##.##.##...####.##.#....##..###.######.##.#.##..#.##..#.#....#.#.#........####..##.#.#.##........##..####...###.###.....#.#.####.###.##..###.###.##...##..#.##....#.###.###.#.###..##.#####.#.#.#..#...########.##..#.##..##.###.##.######.#####.....#.##.#.#####..###..##....##.##.#..###.####...##.######....##....##.###....####.#####..#....###.#.#.#.#.#.##.#.####..##.##.#...###.#.##.####.#..##.#.#.###.##..##..##.#.....###.#.#.#####.#.#.##.##.#..##.#.##.#.###.###......##.#...#.###...###...##.#..#.#..#.##...#.#........########.##.#######.##.......#.####.#...#..##.###.#.##.#.###....#.#...#..####.##
#.##..##..#.##....###..##..#.#.#.##...###..##.#.##....#...###.##...#.#.#..##....####...#.##...#.##.#.#..####..####.##.####.##.#####.#.###..##..#.#.##.##.#.###..##.#.##.#.#.##.#..####..##.#..##.#.##..#######..###.##.##.##.##.#.#.#.##.#.##..##............##.##..#..#####.##....#.#.##...##.##....#.##.#.#.##.##........#.#######.##.###...#...#####.##..##.#.###.#.##.##...####.####.#.##.###..#####.#.......##..####.####..#.######.#.####......#####..#.####.##..##.#.##.#...#...###.##########..#.#....#.########....###.........##.######.##.#....##...#.....##.#..##......#.#####....#.#...##.##.#.##..###.#.###.##.#.#..#..#.##.##.#####....#......#...#####.######.#.....##..##.###.#.##...###.##...#####.##...#.#.##.#.###.#..#.....#.########.##.##.#####..#.#.#.#.#..#.#....#.##...#.#.#####.#.#.....###.###.###...#####..#.##..#.###..........#..#.###..#..#.##.##.#.##.........##.##############...###...#......####.##..#.#.#.###.##.#...#....#.#........#####.##.###.#.##.#.#.#.##..###..........##.###.#.#.####..####
#.#..####.#..###.#####.#..####.#####.##.####..#..##.####.####.##.#.#...##.###.#....###.#..##.####..#.##....##....#.##...##.##..##......##.####.###.##.#..#.#...##..#..#####.##...##.###..####..#.#####.....##..##...########.##.#.#####....##.##..#####.##.####.#..###...##..###.#.#.#..###.##.#######..#.#.####..###.#.##.#...#.#....###...#.#.#.....#####..###..........##.#..##...##..####...##....##...#.#.#####..##....##.##....##..#....#.#.##..##...##..##..##.##..#.##.#.#...#####........####.###.##.#......##..##...####.####.##........##.###.#######.###..#.#.#######.##.....##.######.###.#.....##...#.###.####.#...##.##..#.##...#####.###.###.#.###.#.#####..#.#.#############..#.##.#..####..#....######.##.#.##.#...####.##.##.#...........########.##.#.#.#.#.#.##.##.###..##.####.#...#.#.##.#####....#..##.####..##.#..##.#...#.##.#.#####.##.##..###.#..###..#.###.###.##.....####.##...#####...#.#.#.##.#...#.....##.#.#.##...#######.######.##.#######...##.......##.#.#.#..##.....####.#####....#.######.#.###.#
#.##.##...##..##.....####....####.#........##.#.######.#.#....#..#.##.##..#.###.####.####..###.#..##.###.####.#.######.#######.#..##.###..#.####...##.#.#####.####.#####.....###.##.....##....#####.##.##.###.##..#......##...#.#...####.#.#...##.....#.##....####.#...#..##..##.#.#.#.##...##......##.####....#.######.##.#.#...#.#.####.#.###.##.######...##...#.##.#########.#..#..##.##.###..##.####.#.#.#..##.####..##.##..#.########.#.##.####.#####.#####..###..##.#..###.#.#.##..##.##.#.##....###..#.###.##.#..##..#...##..#####..#.#.#.#####........##..##.##.#.......#..##.##.#..#.##.###...###.#.###.##.##...#.#...###...#.####..#....##...#..####.........#.##.#.#....##.....##..##..#.##....##.#.##....##........#.##.##.....#..#.##.#.####.####.##.....###.#.###.####.##.####.#....##...#####.##.....##.#.##.##......###.#.##..#.###.##.#....##.##.###..##.##...######.#...#.#..#.#.......##.##.###.#.#####..#.#.#...##############.###.#.##.....##..#.......##.####.#########.#.#.##..#.#...##.....##.######.##........#
#.#######..##..#.###...###.####.....#.#.#.##..#.##.......#.#.###.###...##....##..##....##.##.....##...#####...#.#.#..#....##...#.##....##......###.##.#..##...#.##.....##.##..##..##.##..##.#........#.##...#..##.#.#.#######.#.#.#...##.#.#.#.#..#####.##.####....#.#.#.##..#####.#.#.#..#..##.#.#.##....####.#....##..##.#.#.#.#.####.#.####...#....#.##.#####.###.........##.##.#####....######...#.###.####.##..##..##...##...##.#.########....###..#......##...#####.##..####.#....##############.#...##...#.##.##..#.##.#..##.....#.####.###.#...##.###..#####.####.#.##.###..#######........#.#..####...#.##....#.....#..######....####.#.##..#.##....##.########.##.######....#.###..###.##.#..##.####.##.######.#.#.############.#####..##########.......##.###..####.....#.##....###.#.##..#.....###..##.##..#########.##...###..##.#...####.#.##........##.##...#.#..##.#....#.#.#.##.###.#.#.....#...#.###.....####.#.#......##.#.#.##..#.....#.###..##.##########..##..........#.#.###..####.#..#.#.#..#.#.###.....##.##.##
###.......##..##...##.##...##...#.#.#.###..##.########.#.###.##....#.#.##.#.######..#.##...##.#.####.##.....#.#...##...#.###.#######.#.#..#.##.#...##.####..#...##.#.#.#..###..#.###..##.##.#.#.#.#.##..##.##.##..#.#....##...#.#.#.#.####.#.####...#####.....#.##.#.###.###....##.###.##.#.##..###.##.##....#.#.#.####.##.#.#.#.#.#.......##..#.#.##....###.#....###.#.###.######.##....##....##..#....##.##......####.##.#..##.###.#....#.#.#.#.#####.#########.#...##...##....#.#.#.##..#.##.##.##..##.##..#.#.####..##..#.#.###.#######.##.....######...##...##...########.##..###.###..#.#.#######...####.###..##.#.#.####......####...##.#..##.#..####.##..............#.#############.#.#..#.#.#####.#...####.#.#####.......#.#........##........####.###.#####.##.##.##.##.#.##.##..##.#..##.#.#.#############........##.##.#########.#.#.##.#.###..#.#.##..#..##.##.##.#..###.######.##..##.####.####.###########...##.#.#.#.##.........##...###....#####......#####..##..#.#.#############...####.##.#.#.####.....######..#..#
#...#.#.#.###..##.###..##.##..#.###.#...#.##..##.......###...###.###.#.##.#...###..##.###.##..#.##....###.###.#.#..###.###.###.......#.#.#####.##.##...####.##.#######.##...##.###...##...#######.#..####..##..##.#.#.#######.#.#.#.#....###...###.##...##.#.##.##.#..##...##.###..##..##.#####...###..##.##.###.###....##.###.#######.##.####.#.#.##.##.....##.#..##.#...#......#..###.####.##################.#.##.....#.#.##....#...##.....###............###..##.####.##..####.#.#....##.#.....###.##.##.##.#....#.####.###.##.....#.#...#.#.###......###..####.#...##...#..##.......######.###.#...#....#...##..#.###...###.###....#.#.#..#.##..#.##....#..#.#######.####......##....##...##.#.#..##.....#.........#.##.#.##.##...#.#.#.####.##.####.#....#........#.....#..###..#.##.##..#######.#............###.#.#.###..##.....###...#.#....######.#.#..#.######.#...#.#.###...##.##.##.##...#.#.......#.##.###...###..#.###..##.#.#.#.##..###.####....#####.#.....#.####.#.#.........##....#...##.##.#.#......########.#######
###.#.#.#..##.###.#.##..#####.#.##..##.######.#..##.##...##.##.....#.#.##.#.#.....###...#..#.##..###.###..###.###.##....##.#########.#.#...#.###...##.##....##.......#.#..#.##..######..#..#.##...##....##..#.##..###...##....#.#####.##..##.#..##....######..#.##.####..#.#....######.##..##.#.######..###....#..###.#.#...##...##....##....#.#.#.##..#####..###.#####.###########.##....#####.#.#.#####.#.#####..###.#######..##...####.#.#...#.#.#.#.#.####.##..#.##....##..#####.#.##......###.#.#.#..##..####.###..##...##.#..#.###...###.#.#...##.#...##.##.###.###..########.##.#......#.....##.###.#.###.##.##..##.###.....#.#.#######.#.###.#..####.##.#.......#......######..#####.#.######.###.#.#.##.#.#.##...##.#.####..#.#.#.#..#.#######.....#.##.###.##.##.#####.##..##.##..##....##...##############...#.#...####..#.#...##.####.##......#####.##......#.#.###.....#.#.....#.#..##.#...#.#.##.##.#....#.#...#.##..###.####.#.#####......###.##...######.#.#####...#.#.#.#####..##.#.###..#.##.#.#.#.##..........##.##.#
#...#.###.##..#......##..##.#.#.###..#.##.....##.##.###.##...#.#.###.#..###.#.##.##.#.#.#.##..#.##...##..##....##.##.##......##......#.#.#...##..#.##.####.##..##.#.#####.#.##.##......###....##.###.#####.##.###...#.#.###.#.#.....#.###.##.##.#..#####.#########.##...##.##.#...##...##.##....###..##...####.##...#.#.###..#.#..#.##..#.#.##.#.#..##.....##...#.#..##........##.#####.###.#.....#.#...#.......##...#....##...##..#....###.#.#######.#.#......##.##..##.#..#.##.###.#.##.#.##...#...###.##..###.....#.####.##..#.##..#..#..##.####.##..#.#.#.......#.....##.###..#######.##.##.#####...##.#...#.##..#.##..#.###.#######.#.#.#####.#.##....###..##.#.#.####.##........##...#.#..########..###.##.#.#.######..#....##.###.######.##......##.##.###########......#.##.###..##.#..##.##.#..............###.###.###....####.#.##....###..##.####....##.######.#.##..#.#.####.#.#####..#.#.###.#.##....#.#.##.#.###..##..####.####..##...####...######...##.#.#...#.###.###.#...#######.#.##..##.####.###.##.###.######.....#
###.#.##..#####.##.#.######...###...##..#.#.#.##..###.#..##.##.#...###.###..###.....###.#####.####.#.###..####..#.#..#..#.##..##.###.#.#.##.##..##.##.#.....##.##.#...##..#.#...##.#.#...##.####.##....##...###.#.#.#.###...#.#.##.##...#.##..####...#.#.#...#.#...####.##.#..#.#####.##...##.#.....##############.####.##..####.##.##.##.#..#####.##..#####..###...####.#####....##..........#.#...#.###.###.#..#.#.##.#.##.#..##.#.#.##...#.##.#..#.#.#.#.####...#.##..#.##....#.###..#.#.##.#.#.#...#####...##.#.##...#####.##.###...###.##..##...#.##.####.###.##.#.#......##.##.###..########.####.##.##.##.###.#######...####.##.......##.##.####.####...##..###....#..#.#.##.#....#.#.##...#.##.####...#..#.#......##.##.####.##............##.#.#######.........##.#.#.#.##...#.######.#####.#.##.###########.....#.##..##..#####.#..#.####.##.....####..#.....########.#.#...##.#.#.#.##.#.#.##..#..##.#...######...#.##..##.##...##.#####..##..#..#.#####.#..#.#.#...##...##.#.#....##...#..#.###....#.##...#...#........###.#
#...#..##..#.#####.#......###...##.##..######..#.##.....##...#.#.#..##...##.####.##...#.....#....#####...###...#####.##.#..#.##...####.#.##.##.###.##.####.###.##.#.#.##.##.##.##..#.##.##...##..##.#.####.####...###.#####.#.#..######.#..##..#.#.#.......#...##.##.....####.#...##..####.#####.##......##...#..#..##...##....#..#.#..####.##......##.....##...##.###...#############.##.###.#.#.#.........########..#.###..##.##.#.#..##.##......##.#.#.#....#.#.#..##.#.##.##.....####.###..###.#.#....##.#.#######.#.....#..###...#...#####.##.#.###...##....#..###.#.#######......##.............#..#..######......####.####....##.####..........########.###..##.####.####.##.#.#.######..#.......##..#.#.##.###########..##.#.##.#.##.###.#..###.........#.#.########.###..#.#.#....##....#.#.#.##.......#.#.###########..##.....#.##.#....###..#.###....###.##..##.#..#.###.###..#......#.#.#.#..##.##..#.#.##..##.#######.......##################.......#...#######.####.#####.#.######.###.#...#.#.##..##.##.#.#.##.###.#####
##.##.####.....##..#.#.##.#...#.######.##.....##..####.##..###.#.##..######....#..#.###.#.####.####....#...###.#.#.###..#.##.###.##.##.###..#..#.######......#.##.###.##.##.#..###.#.##..##.####..###...##.##.##.##......##.####....############...###.#.###########.##.###...##.####...##..##.#.##.#.##..#.#...##.##..#####.####.####...##.#####.#.##.#.#.#..#.##...###......##....##.##...#.#.#.##.##.######.##..####...##.##.######.###.##.###.#######.#.#.####.####..#.##.#..#.######.#...########.#.##..#.......####.####.######.#.#..##.###..#.##..#.##.#.###...###..#.#.#..#.######.##.#.##.#.######..##....#.##.......##..#.##...#.#.############..##..#...##....##....#.#..#.#.#.#.#..##.#.##.##..####..#.......#.####....#..###.##..#####...##.#.########.....#.##..##.##.#.#.#.##..##.#.#######.######............##.###.#.#.#.##.##.#...##.#...##.#...#..##......##.#...#.####.##.#######.#.##..###.#.#....##......#.##.###.####.#.##.###.###.######.####......##....###..##.#####.#...####.###.#..#.##..####.#..#..##.....#
#..#....###.##.##.####..#.###.#......######.#.##.##.....##.###.#..##.##.##..##.#.##..####...##..##..##.##.##.......####.#..#.#...##......##.##....##.#..#.####.##...#.####..#.##...###..##....###.####.###.....#..##.#.#.##.###..##.....###.##...#..##.#.......##....##...##.###.##...####.###...########...##########..#.#.....#..#.##.##...##...#..###.####.#..##.###..##.#..#.#####..##.##.#.#..#.#............#####.######......##.#...#....#.......###.#.##......##.#.##.##.#......#.###........#.#####.#.#.#.####.#....#.#......#.#.##..##..##.##.##.##.#...##.##...##.....##......#.##.#..#.#.....##.##..##.#..##.####..#.######.##.####....#.##.#.########.##.##..#.##.#.##.#.###.#.##.##.##########....###.####.....##.##.####....##...#.#.#.#..#........#.#.#....##..######.###.###.##......#.##.####.#.###############...#####.#...####.###.#.####.#.###.####.##.#######...##...#####.#.####.###..#######.####.#.####..#...#....#....#..........##.####.######.##########.##........##.##.#....###.######...##.#.###..##.##.#
##.#.#.##...##.##.#.##.##.#...###.##..#.#...#..#####.#.##....###.##..##....##..#..####.###.##..#######.##.#..#.#.#....###.######..###.#.###.#..##.##.####...#####.#.#....##.######.##..####.#.#......#.##..###.##.#..#.#..#...##..#.###......#.#.#.##..#.#########.###..#.##...#..#.#.##...#.###.......##.#..........##.#...##.##.##.....###.##.#.#.###...##..####..##..###.##.#.....##.##..#.###.##.#.#.###.######...#.....###.########.#.##.#.#.#.##.####.#..#.#.#.###.###..##.#.##.#.#..##.#.#.####....##.#####.##...#.##.#.#.#.#.##.#....####.##..#.#...#.##.########....##.########.#..#.#.####.#.#.##..##.####.###....##.....#.#......#.#.####.#..........##..####.##..#.#.#..#........#.##..##.#.#######.##...##..#.#..#..#....##.#.##.###.#####.##.###.#.##.#.##.#..##....##...##..##.####.##....#..............#...#.#####..#.####.#....#.#.###..#.#.#..##..##..##.##.#.##.###..#............#..##.##.#.#.#....###....##...###.##...##...##.#.#.#......##.#....#...##.#.#.#.####.#.##..#.#....######....##..######...#####..###
#..#.#..###.####.....######.#...#####...#.#.##..##...#.####.####..##.#..##..##.##........#..##.#.#.#...####.##.#.#.##.#....##.#..####.#...####.####.......#.#.#.#.#.##.#######.....##.##....#.###.#.##..##...#..#.##.#.#.##.#..##.#...#.#.#.##.#.#.#####.....#...#####.##.###.##.####.#..#.#.....##.####..#.##.#.#.########.#..##.#..#.#...###..#.#...#.#####....##.##.###..##...###..#####.#.##...###.#.###........####.##..##......#####.##.##########..####.#.#.#.##....##..#.#..#####.###.###..##..##..###........##############.####.##.##....#.#####.####......##...##..####.....#.#.####...##.#.###..###.#....#.##.#..##.####.#.##.#............######.#####....#.#..#######.#.#.##########.........###...##.####.####.##.#.##.##.#.##.........#.#....#.#..#.#.##.##..#.#######.########.#...##.#.#.##.#.#.#######.###.#..###....##..#.#.##.....##...####..#.####.##..#.#..#.#######.###.########.#.........#.#.###..#.###.#..######.###.########.#.#.#.###...########...........#.####.#####.#......##.#..##.###....#.....##...#
#.##.####....##..#.#....##..#.####.##.#.#.#.#..#####.###.......#.######.#..##..##.#.#.##########.....#.#.##.##.#.#..####.#.#....##....######...#..##.#.#.##.....#####...#.##...#.#.##.###.#.###...#..#.####.##.##.##.#.####.#####.#.#.#.#.######.#...##..#.#...###......#..##.##.##...#.##.####.###....####..#.#.#....##....#.##..######.#...#.##.#.###...##..##.#..##...##..###...#####.#..#..#.###...#...###.#.#.##.....##..#.####...##..##......##.###..#.#####.#####.#.##.##.#.###.##.##....#.##..##########.#.#####.#.##.#.........#.####..#.##....##....##.###..#.#..##...#..##.##.###.##.###..#...#####..##.#....#.####..#.##....########.#.#.#......#.....#.#.####.##.##....#.#........#.##.#.##.#.#...#.####..#.##.###..#.##.#..#..###.##########.#.###.####.#...##.#.......#...##.....##.#####.#..###.####............##...##.##.##.###..##.###.#.###..####.##..##...##.....###.....#........###.#.#.#.###.#.##..####.#.##.....##...#.....#..#####.#.....#..##.#.#..##.########....#....##.#.#.#.###.#.##....###.#############
#..#####..##.##.##.##.#..##.#.......###.######..##.....##.##.###...###..##.######.#.#...#.#.#..##.#.##.#....##.#.##..##..#####.##..##....##..#...##..###..##.##..#.##.#....###.#.#.##..##.#.##..###.##...##..#..#..###.##.......#.#.#.#.#...#.#..#.#####.####.##...###.#####..#...##.##.##.##.....##.#...##.########.####.#.#..##..###...#.###.##.#..###.###.##..##.#..#..##...#.#.......##.#.#######.##.#...###.######.####.##....#.#.#..###.#.##....#...##....##..##...#.#######......###..##.#..##..........#.#............##.##.#.#####..##.#.##.#.###.####....#.##.#.###.#...###.#.......#.###.##.#..##...##..#.#.##.#####......##........#.#.#.##.#.#.#.###.#.####...#...####.###.########.##.#.##.###.#.#....##.......###.####.##.#.##......###.#...#...#########.###.#####.#.#.#....#.#.##...##..#.##........#####.##.######.#######...###.####.#.#...##...##.#######.##..##.##.##.#######.###...###.#.#..##.#..##...##.####.#.#.##.#######...######.#.###.##........###.......########.###..#.#.#...#.#.#..#.##.......####.####
#.##.....##..####..##.#.##..#.#.#.#...####.....####.#.#####....#.#.#...##....###..###.#...#.#.##..#.##.##.#..#.#.##.####.##.##..##.#..#.####.##.##..##...##..###....###.#.##...###..#.##..#.###.##..##.###..#########...####.######.###.#.#...#.##....##...##..#.#.#......###.#.#..#.#..####..#.#..###.####.......####.#..#.#.####...#.#.#...#.#..##...#.##...##.##.##.#.##..#.###.#.#####..#......####..#.#..#####.#.#..##..##.#.#######.#...####.##...####.######..##.##.#.#..#..#.##...##..###.####.##.##.#.#.##.###.#.#.######..#.##.##.#######..###......##.#.#.##.#...####.##.#.#.#.#.###...#######..##.####.#.#.##....##.##.#..##.##.####.#.######.###...###....#.#...###..#..##...####.#..#.#######..#.##.#..###.#.#...###....##.#.##.#.##.....##.##.####.#.##.####..#######.###.######.##.#..##.#..##.#.#.#.....#..#....##........###...#..###.###.#..#.#.........##..##.##.##..#.......#..##.#####.#.#.##..##..###.......#######........#.####.#.###..##..##.###.#.#.###.#.#...#.##.###...##.###.###.#.##.####.#.###....#....#
######.#..##....##..#.#..##.#.#.#.##.##..###.#...##.#.##....##.#.####.####.#...##...#.#.#......##.#.#..##.##.###..#.##...##.##.##..#.##.#..####.#######.####.#...#.######..######..##..##.#.#....##.#########.##.#.#..###.##......###...#.#.#######.#..#.#..#.####.#.#.#.##.#.#.#.#####....####.##.###....##.####......#.####.##...#.#.#.##.#####..#.#######.###.####..#.##.##.#########.####.####..###.#####.#.#.....#####.###.#..##.#.#####.##.###..#...........#.###..#.#.##.##.##########..##...##.##.####.#.##...#######...###.#..........##...##...##.####.#####..#.#....#....#######...######.#####.#.....#.#.#.#..#####.#####..#..########..#.###..##.#.########.#.#...#.########........##.#####.##.#.#######...#.#.#...##.#..#.#..######.######.##.##.#.#.#.....##.......#.###....##...#.##.##.#####.#.###.###.#.###.#..##.#####...#.#.##.......#.#.##.#.#.#.#.###..##..##....###.#########...##...#######.##.####.##.#####.##...####.###.........###..#########.#.....###.#.#........##.##...##...###.#..##...#..##.#.##.####
#....###.##..######.######..#.#.#.##.###.....#.#.##.#####.#..#.###....##...##.###.#.#.#.#.#.#.##..#.##.####....##.###..#.##.....#.##.##...##....#.##.......#.##.##.##...#.##......##..#####.###.##.................#.##......####..##.#.#.#.....##..####.##.#....###.#.#.##...#####.#...#.##....##...#.##..#....##.#####.##....###.#####..#.#.#...##...###.....#...##.#####.##.#.#####.#.###.....#.##....##.......#######.#.#.####.......##........#.###.#######.##...#.##.#........##......##..##.##..##....###.#..#..#.#####.##.###.##.##.######.#####.##....#....#####.#.#.##.#####...##.#.####.....##..#.#.#####.####.....#...##..###........##.....#.###.#.......##.#####...#.#####..##.#.###....##...#.#.....##..#.#.##########.##.##.##..........#.##......#...#.#.#..#.#####...#.##..##.####..##.###.#.#...#.#####.##..#.##......##.######..#.#######.##.#.#.#.#...##.#####..#.##.#######..##.####.#..#...####.....#..#..##....###.###########.#.#.##.######.##..#.#.#.#..##.###.###.##########..##.####.##.##.#.#.##..#.......#
###.##....##....##.......##.#####..###.##.##.#.#.#...##...#.##...##.#.#..#.####.###.#.#.#.#######.#.##..#####.#######.####..##.#####..#.#..#.#.##....##.#.##.##.##....#.#..##.#.#.###....##.#...####.#.#.#.###.##.######.#.#....#.###.######.#.####..###..#.##.#.###.###.#..#.......##.####..#.##..#.#..#.##.#####....##..###.###......##.#...#.#..##.##.##.#.##.#.##..##...##.....#.#.#...#.#.########.##..#.#.#.........#....##..#.#.#..##.#.###.#.##.....#######.#.#.##.##.#.#.#..###.#####.###..##.##.##...####.##....#.#...#.#...##.##......#.##.....##.######..###..#.####...##..#.####......#.#..##.#.#..##....##..##.##.#.###.##..#.######..#######.####.###.##..#.....#.....##..###.#...##.#....#.#.####.####.#.#....#.##.#######...####.#.########.##.#...#######.##..#####.##.##.##.....##.#......#.##.##.....#..##.#####.#####.......####.......#.##.###.#.#.###....##..##............##.....####...###.###.#.##.###..#.##..##.#...#.....###.#....####......##.#####.##...##.##......##.###.##.....###..##.#.#####.##.#.#.##
#......#.####.#####.##.###......##.#......#..###.##.##..#.#..##.###.###.##.......##.#####.##...####..##...##..#.##..#.#....###..##...####.####.#..#.##..#.####...#.#.#######..###...#.#.###.###.#....#.#.#.##..##..#####.#.##.#####.....##...#....##...#.##.##.#.#.....####.##.###.##.....##.#.#####.####.##.....#.##.###..####.##.##.##..#.######.##....##.#..#.#.##.####.###.#.#.......#####.......##.#####.#.#.###########.####.#####.##..#..##.#..##.##.......##########..#####.##.......#...#.#####...###.#.....##.#.....###.###.##.#..#.####..####.###.....###...##.#..#.#.#....##...##.###.#####..######..##.#..##..#..#.#...#..##.###.#..####.#.....###..##########.##.#.#.#..#.###..##.###.#.#.##.#...####.######.####..........#.#.##...#......##..##.#.######.######....###############.##.###.####.##..##.##.########.##.....####.##....##.#.##.####...#.#.#...#.#.####.##.#.####.#.#####.#.##....#.......#####....##....#.##....#...##########.#......###.###.....#.####.##..#.######....#..##.############.#####..#.###..#
##.#.#.#.##....##.#.#######.###.##.##.##.###...#.##.#..##.##.##.##....#####.#.#.##...##......#...##.##..#####......#####.#.##..###.#..###..##..##.#..####....##.####.......##.##..#######.########.#.#.#.#####..##...##..#.#......#####.##.###.#.###.#.#..#..###.#.#.#...##.#...##.###.#####.#.#.......####..##.#######...##........#..####...##...##.#.###.#.######...##....#.#.##.####....##.#.#.#.##...###.###........#.####.#...#..#######.#####.##..##.########.#.#.########......##.########.##..##.####.##.####..#.#.#.....########.##....##...##...#.#####.###..#.##...#.##.#####.##...##....##.###..#####..#.###.###.#.#.#.####........##.##...#####.##....#.#.#.####.#.#.#.##.#.#.##....#.#.#.##.#.#....#.#...........###.#.#.##.######.##.#######..###...#.#......###.#...#.##.##.#.#.###..###....#..#.###..#.....###..######....#####.###..####....###.###.##.##.#.##....###.#..#.#..#.####..###.##.###.#.....#.##..##.###..##.#.##.######....###.##.#####...###.#####.#..##.##....#...##.#.##..####.####......##..##.######
#..#.#.#.###.#....#.......#...#.##.#...#..###.##.##.##.#...####..##.#.##....#.#..##.####.#.###.#..####.##.....#.#.##...#.#..##.#.#.##...########..#.##....#####....##.##.#..#####.##......###.##.#.###.#.....##.##.#..##.####.#####.##...#.##..#.#.#.###.###..##.###.#####..#.#..###.......#####.#.#.#....##.##......####..####.##.######...#.####.##.###...#...#.###.####.#.#.#..#...###.####.#.#.#####.##.....##.#.#####.#....###...###.###....###..##.##...#.##.#.......####...##.###..#.#.####....##...#.###....###.#.#.#.###........#####.#.#..#.###.##...##....#.##.##.#.#.#......#..##.####.#.#......##.####.###.....#####.#..##..#.#.#####....#...#....####...#....##..#.#.#..#...####.#.####.#.##.#.##.#...##.#.#.#.#.#############......##...#.#.#.##...#.....##.#.#...#.#..............#####...#.#####...##.####.##.#.##.#######....##...##..##..######..#####..#.#.##.#####....##.##......####...##...#####.#####..##....#########.........#.####.##.....#.#...####.##.#######..####.##########.........##.#.#####.##......#
##.#.#.#.#...###.##.####.####.####.##.##.##.#.##.#####.##.##....###.#..###.##.#.##..#....#..##.##..#.#####.##.#.######...#####...###..#.#..##....##.##.##...##..#.##...######........#.#.##....#.#.##..##.#.##...#.#.##..##....##.#.###.##.###.#...#...#..###..###.......##.#.##..##.##.#.##.....#.#.##.#..#.#..######..#.##....##...#.#..#.###.....#...###.#.###........#.#.#.##.###...#..#.#####.....####.#.###..#....##...#.##...#..#....##.#...#.#####..#........#######....#.#....##........###.#####....##.#.##.###.#.#...#.###.##.....#.####.#..##.##.#....##.#..#.#..#.#.#.#.##.#.##..#.#######.##.##........##.##.###.##.#.####.#.#.......#.##.#...##....#.#...######.######.#.#....#.#....#.######..###.####.#.#.###.....#.#.#.####.#.#.#..###...#####.###.#.###########.#.#.########.#..###..#.#.....##.##.....#....#.##.......##.#.####..#####.###...##.....#########...##..#.###.##.#######.#####..#.....#.##..##.##.##......##...#.####.####..#..#.#.#######.##.........#.###..........#.#..#.#.###.####.#..#.#..#..######
#..#.######.##...#.....###.##....###...#.#.....#.#...####..#.##.##..####....#.#.###.#.#.###..#..####.##.....###...##...#...##..#.####.####....##..#.##..###..##.#.###.###.#...###.#.##.#######.....###.##.####.#.#.#####..####.......##..#..##.#.#.#.######...####.#.#.#.#..#.##.###.##.#..#####.###.##.#######.###....###########.#...##.#.#####.#.#.#.#...#...#.#.##.###.#.#.##...#.#.##.......#.##.###...#...##.##.#....###..######...#####.##.####..#..##.#.#.#######.#####.#.#.######.###.###......##.#.###.#....###.#.#.###..##.###.####..##..##..#..###.#############.#.#.#.#..###..##......##...#######.#.#.#####.......######...#.##.#.#.########.######.#########.##....#.###.##.#####.#.##.###..##...#....#.#.#..##.#.#..........###.#.##.....#.....#.##..#.#.##.#.########..##...##.#.##...##.#.#.#..#####.#.##.##......##.##..###....##...##......#..#.#.#..#...##...#.##.##...#..#..........########.#.##....##..##..##.##.##..#.#..#####....###.#.#..#.#.##....##.##.#....###.#.###.#.....##.#...#....####...#.###......#
##.#..##....##.####.##......#.##...#.#.######.######......####..###.##.#.#.####..####.#..##.###......###.#.##...#..##.##.#####.#....#.##...#.##..######.###.##..###.#.....###.#...####....##...#.#.#....#.###..#.####....###...########.##.##..#####......###....#.#.#.#.#.##..#.#.###..##..####.###.##..#.###......##.....####....##.###.#...##..#.#.#.##.##.#####.#....###.#..#.#.#.#.##.##.#.#######...#.###.#..##.#.#.#######.##.##.####.###.....##...###.###..........##...#.#...##.....#...#.#.#.###.#.#.#.#.####...###...####....#...##.##..####.##...#...#.##.##.#.#####.#########..#.#.##..###.....##..#.#....####.###......###.#.####.#......#.#.#.####..#.#.##....#.##.....####.....#.#.##.....##..#.#.#.##.#.##.##.#.##.##.#.##..##.#.##.#.#.#.#.#.#..##.#..............###....########..#.##.#.#.#.##.....#.#...##.#.####..#.#####.#..#.#..##.##.###.###.##...#..##.##..###..#.##.#.#.######.......##.#####.#######..######.###.#.##....#..####.######......##.###..####.#.##.######..###.####.#.#.#.#.##....###..##.###.##
#..##.#####.##..##..##.#.#.##.##.#######........#.##.####...#####......#.#....##...####.###...##.#.#...#.######.#.##..##.##....#.#.##.#..###.###......###...###.....#.#.#...###.#....####.######.#.#.#.##.#.####....##.#.#...#........#..#.###....##.#.##..##.#.##.#.#.###.#..##.....##.##.##..#...#####.....###########.###....##.##...#.##.###.########..##..#.#..#.#####..#.####.#.#.##..#.#.#.#..##.#.#...#.#.#####.#.##.##.#.....#......############...#.####.#.###.#..###.####.#####.###.###.###...#.#...#.#.##...#...#.#...###.#.#.###...##..##...#.#.##.##.............####......##.#.#..##############.###.####......#.#.#.##...#...#####.#.###.###....##........######..###....#.###########.##..##.#.#.#..###.##.####.##..#.#######..#.####.#######.#.#####.###.##.#######.##.#.....#.#####..#.#.#.#..##.#.####.####.#....####.....#.##.####.########....####.####.##..##...#.##.##.#.#.########.#####....##........##.#..#.#...#.#..##.#...##....#########.#.#########.#######.##.#.##.##.....#####.#.#..##.#...##.##...#..#
#.##..#......##..##.##.#.#.##.#....##.########.##....##...#..#.#####.#.####.####.#...##.##..#.##.####.##.##.#.#.####.#####..##.###.##.#.##....###.#.#.##..#..##.#.#.#.####.##...##.#....#.#......#.#.#.#.....##..#.##..#.###.##.#.######.###...#.#####.#####..#..#.#.#..##.##.###.#.##..##.###.#.#....##.#.#...........####..#.#####..###.##.##....#....##.###.#.##.#.....####...####.###..##.#.....###.#.#.#.#.#.##.##.###.......#.#.#.####.....###.#.##.###....#.#..##.##.##...##...##.....#...####..###.##.##.#..##.###.##.#.#..##.#.#...##.##..####.##.#.#.....####.##.#.#...#..######..#.##..#.#.##......###......#.##.#.#.########.#.#....#######..###.#########.##.....###...#.#.##.........##...#.###.#.#.#.######....##.##.##....#####.###......##.##.#..##.....####.###.##...#.#.###......##.##.###.##..###...##....#.##.#######.####.##...##..###.#.##.####......###..####.##.##.##.#.#.......#####....######.#######..#.##.#.###.##.##.###....####.#.#.#######.##.#.##....##.#.##...#####.##.###.####.#.#####.####.###.##.##
###########.####.##.##.#####..#.####............####..##.##.##..##...#..##...##..#.####..##.###...##...####.#....#.######..##....#..###..##.#.#...#########.##..#.#.#...##..#.#.##.###.#######.###.#.#.#.#.#..##.#.##.##...#.##.#..#.#.#######.#....##...####.#.####.####..#....#.#..##.#..#.#.#.##.#..#.#.#.#.#.#.#.####.####.##....###..##..##.#...##.##..##....#.##.######..#...#####..##..#.##.##.#####.#.###.#.........##.##.#.#.#...##.#.#.......##..##.##.###.###.##.#..#..#.#..###.####.##....##...#..####.##..#...####.#.##..#.######..##..##...###.##.#.########.#####...##.##.########........######...#.##.###..###........#.###.####.#.#...##.#.........#..#.###...##.#######.##.########.##.##..#####.....##.#.##...#..##.#.#.......##.#.#.....#######.#.#..##.........#.###...#####.###.##.##..##.##...###..##.#.#........#....###..#####.......##....###.######.##....##.##.#..#####.#.#.....##.#.....##.......##....#.#...####.##.######..##........##.##.##....##.###..#....#..##.#.####....#####.##.......#.#....#.##
#...##.##......#.##.##.....##.#....#.#.####.##.##....##..######..#.#.######.####.#..##..##...#########.##.....##......##..###.#.##.##...##..#.#.#......##....##.###.#####..####.##...#....##...###.#######.#.###.#..###..#.#.##.##......##.#####.#.##..#...##.#..##...#######.#.#.#.########......###.######.#####.#......########.###...###.##..##.#####..####.###.#.......##.#.#.#...##..#.##..#.....##...#..##.##.#.#.##..#.##.###.#.#.##.#.##.########.##.##...#...#.##.##.#.#####...#....#####.#..#.###.##.#########.##....#..#.##....##..##..####.##....#.#........#######.#........##.##...##.#.###....##.##.##.####..##.##.#####.#........#.#.###....#.#######.##.##########..##.#######.#.#.########..##...#.####.#..##.##.########.#.##..#.#.##.#####.###..#.#.####.#.#.####..##.#.....####...#####.##..###...##########.#####.##.######.###.##.#.#.##..#####.......#.#####..#..####.....#.#.#.#.####.#.#.#.##.#.#.###..##...#.####.###.......##....##.#.#.....#....#####.#.##...#####....#......##....#####.#.#####.##.###..#
#.#.....##.##.#######..#.######.####.###....##..####.###..##..##...#.....##...##.#.###.###.#..#.###.##..##.##.#..########.##..#..######..##.###.#.###.##..#.##..##......##..##..##.#.#.######.##.......##..#...#.##..##.####..####.####........#.###..###.#####.#####.....#####.#.###..#.##..##.#..##..##......##..##.###.......##...##.##.#..##.##.....##.#.#....###.##.#.##..###...###..##..##.#.#.#####.##.###.##.###..#.##.##.#######..#.#.##.....#.####...##.##.#.#.##.#..#.##....#.#.##..#.##.#.##.#.......##.##..#.#####.#######.######..##...##..###.##.#.#.####..##.#.####.#####....###.##..#.....####..#...#....#.#####......#####.##.#.....#.#.########...#..#....##.#..#.##..#####.....#.##.#####.###.#.#.##...#.##...#..#.#.##..####.##.#.##.........####.#..#.#####....#.##..###.#....#.#...#.#.##.##...#........##......#..#.....##.....##.#######...#.#.#.#####..##...###..##..##.######.#....###.#.###..#####...##..#.###.#....##.##.###..##.##.####.##...##..###.....##.####.####.#.##.#..#.##.....#.#....##.#..####.#
####.##.....#.##......##.##.##.....###...##.#..###...#.##....##..###.#######.###.#...#.#...####.#.#..#.##...#.##.....##...##.###.###....###.#...#.##...#.##..##..#.#.####..####..###.#.###....###.#.######.##.#####.##..#.##.###.....##.##.#####...##..##..#.####..##.#.#..##...#...##......##..##.##.######.#..####...##.##.#.##..#.##.#....##...###.###....##.#...###..#..##...#.###.######.##.#.#...#.###....#.#..##..##..#.##.......#.######..#.#......##.##########.####.##.###.#.#.#####....#.####.###.###.....##.....##........#.####...##..#####..##..#####....#.##.......#....#######...#####.##.##.###.##.###.#.#.##..##.#.###......#.##.##.......#.##.#.####.#######.#.##.##.##.##..#####.#....##....#####.####.#..##.###.....##.##....#######.#####.#....####....#..#.########..######.##.##.##...##.##.#.#.#.#.##..###.#.###.#.#.###..##.##...#.##.#.###.###.....#######..##.####.##.....##.#.#.##...#...##....###.##..##.......####...#.##..###..#..#.#..#.#..##...#.###............######.####.##.##.#####.#######...##.#
##.#.##.##.##..####.#.##.....##.####...#..#.##.#...#.#.###.#.#..##.......##..##..#.#.#####..........##.##.#.#..##.#######.##..##...##.#...#.#.#.#.##.#.#.#..##..##.#...##.##..##.#######.#.#.##...#...##...#......#..##....#.#...#.#.##..#....##.#.#..####........###.#.#.####.###.####.###.##.##...#..##....##...####..######..##.###..#.#.####.###....##.#.######..##.###.#..#.#..........#.##.#.#.#.....##.###.##.##.##..##.##.#.##.##......##.#.##.#####.....##.#.##.#.#######...#.#...#.#.####..#.####...############.####.#.#####....###.##.####.##.##.####...#########.##.#####.......###...##...#.##...#.##.#.#.###....##..#...##.###.#.##..#.##.##...........#######...............##.........#.######.##......##.##.##..##.#.######..##.......#....##.####...##.##...##........##......#..#..#########.##.#.###.#####..##.#...###.#...##..#..###...##...#.#...###.#...#.##..###.#.#...##.#.###.########.#####..##...#..##.##.##.##.#####.##..##.##..#####...####.##..#.....##.##.#########.#.############.##........####.#####
#....#..##..##...##.###..#.####....######.#.#..#.#.#....##.#.#.####.#.######..##.#.########.#######..####.#.####...#####..##.####.##..#.###.#.#.#.##.#.########..###.#..#..##......##.##.#.#.##.#.##.#####.#.#.#.###.##.#.######.#.#..#.####.##..###.##.#..#.###.##.###.###.....##.#.####...##..#.#.##..##.#.##.#....##.....###.#....##.#.#..##....#.##.##.#..###...##....#.##.####.#####.#.#.##.#.###.#.###...#######...##..#.##.#..#.##.#.#.##..#.####.####.##.......#........###.##.#.###......##....##..#...##.##.###...#####....###.#######.....#.####...#.###.#..##.##...#####.#####.####..#####.##....#.#..###.....#.#.##..####.#....###.##.##..#..##.#.#.#.##.........#.#.###########..##.#########.#######.#.##########.#####...##...####.#.#.##.#.##...#####..#.##.#########.#.##.####.#.##.###.##...###..#..##.....##..#.##.####.#.#..#.##.##...#..#.#.....#...#.#.#...##.##.....#.#.##.#...####.#...#....##.###.############...#.....#.###..#..##.#.#####....#..##.#.#########.............##...##..#.######.####..##......#
###.###.#..####.###...##.#....##.#..##....####.#.#.#.##.##.###.#....#.....##.#####.###.#.........###....###.###..#.#.##..##....##..##.#...#.###.#.#..#..##......######.##.#####.##.......###..#.#..#.##....#.###...#.#..########.###.##..#######.##.....####...#......#...####.##..#.#.##.###..##.#..##.##.#.##.##.#..###.#.#...#.##..#.#.#.###.#.##.##.##.##...###.##.#.##.#....##.....#######..#.#####..##.#...##....#..##.###..##.#.##.#######.#.........#..#.#.#.###.#.####.#....#.#...#.#.######.#..##.#.#....##...#.#..##...##...#.......#.#.#....##..###.....#.###..##.###.#....###....##....##.##.#.##.##.##..#.#####..#.########.#.##..##.##.###.##.###.###..#.#.#.#.###....#.##.#.##.#####.##.#.....##.##.#..#.....##......#.#..#.#...##.#.#..#.#.#..#.....#.##..#.........#.#.##.#.#########....###...##.#.###.##.##..##.##....######.####..##.########.#.######.###.#.##..##.#.##.#.#..#.#........#.#.####....#..#.#####.####.###.####...##.##.##......##.#####.##.#.........##.#.########....#....##....##....##.##..#.#.##
#....#####...##...##.###.#.####..########...##.#.#.#.##..########.#.#.###.##..#.####...#.#.#.#.#...#.##..##.#.#.##....##..##.#.##.###.##.##.##..####.##.####.##.....####...##....#.####.###..#####.#.###.###...##.#####..#.#.#.....#####.....#.#####.#####...#.#.#.#.##.#.#....###.#.......##.###.#.##...#.#.#..##.##...#######.#.##.####.#.##..#.#######...#.#..##..#.#.#####.#.##.#.#.......##.#.#.###.##..##.##..##.#.###...##..#.###......##..##.#.##.#.#.####.#.#######.#######.#.#.#.###..##..#.#.##..#.#.##....#####.##..#####.###.##.#.#.#.#.#.####..####.#.......##........##...########.#######.######..#..##....##.##..##.##...#####..####...#.##..##..###.#####.#..#####............##........#.#.....#.##...##.##..#.####.#.#####.#####.##.#####.##.#.#.#.##.###.####.#.#.####.....###.####.###...######.##..##.##.######.#######.#....#.##......##.###......#...#.#..####..#.##.#.#.##.####.##.##.#...####.#####...##.........#############..##.##.####.....#.#..#.##.#########.#.#.#####.#.#.##....#.##..#########.###..#
##.###.....#..#.####.#...#..######.....##.#..#####.#.##.##....#...###..##.#..##...##.#...#.#.####.##..#.##..#....##.###..###.#.#....#.##..#..####....##..##..#..#.#...######..#.##....#...##..##...#..##.##..#.#...##...##...##.#.##.....#.#.#.##..#.....###.#.#.#.######.#.##...###.#.#.#.#....#.#..##.##.#.##..######....##...#.#.....#.#.#..##......##.###.##.##.####..##...#.#..########.##..#.....#..##.######.#..#.#.##.###.##.##..###########.#..#.#.#...##.#...........#..##.#.#.#...##....##.#.##.##.#####.#.....#..##....##..##..###.#.#.#.#.##...##....##.##.#....####.#.####.......##.......#......##.#.##..#.###.###.....###....###....#####.##.####...#..#.#######...#.##.##.#.##....##.#####.##.#.##..##.#####..##....###..##....##....#.....#..###.#.#.#....#....#.######.##.##..#..#........#..#.#######..#..#.#.#....###..#..#.##.#.#..##.###......######.###.##....##.#.##.#.#.##...##..#..###.#...##.......#..#.##.##.#..##...#...#######..#..##..#.######.#..#.###.#...###.......#####.##.#.######......##....##.##
##########.##.#.##...##.###....##..#.#..#.####.....#.##.#####...#.##..###.##....#.#..##.##.#..##...######..##.##.##.######...#.##.#######.#.##....##..##..##.##.#.#.#..######.#..#.##.###.########.##.#..#####.###..##.##..###..#..#####.#####....##.#.###########......#.#.#..#.#...#.#.###.#.##.##..#.##.#..##...#.########.#.######.##.####.#..##.#.##.###.##.####.#..##..#.#.##........#####.#.#.######....#.#..#.##....###.########.....#.#.#.###.##.####.###.#############.##..#.#.#.######.#####.##.#..##.##.####.###..##.###..####...#####.#.#..#######.#.#...#.#.##....#.#....##.#########.##.##.#.#.##..#..##.#...#...##.##...##.###.##.#.....####...##.#.##........#..#.#.##.####.#..##..##############..##.....###.##.######.####.#..###.##.########...#.###.#.#########..#....#####.#.##.###.#.###.....###########...####.....##.##########..#...####.#..#..##..##..##.###..#..###.#..##.##..##.###########.#.##.##.####..##.##..#.###.###.#.#.####.####.#...##...#.##.......#.....#.#.#....#####.#....##..##.#.##.#.###..#
#..........##.#.####..###...##..####.##.#..####.##.###...##...#.#..##...#.#..##.####.##.#####..###.....###.#...####...#.####.#.#....###.#.###..##.#..###.##..##.#.#.##.....##.##.#..#.##...###......#.##....##.##..##...##.####.#.##.###....##.#########......#.##.##.#####.##.#####.#.#.#...#.#####.##..#.#.##..#.....####.###.#......##.##...##..######...####......##.###.#.###..##.#.###..#..#.#......##.#...##.######.####....###...###.........#.##..##..##................##.##.#.#......#.....#########........###.#.##....##...##.####.##.#.#.##.......#.##.##.#..#.#.#####.###..####.#.#######..#.#..##.#.##..#.#.######.##.####..##....##.##....#.#.#..#..#.#.##.#...####.##..######.###...#......##.###.##.#.#...#.#.......###....#.##...##........###.#..##.#.#......###...##..#.##........#.#..########.##.##.#####.##...#.#.#.........##..######....##...###.#######..##.##.##...##..#####.##.........##..####..#..##..##...##.#..............##.....###.#.##.#.#.##.##.#####.#.##.#.##.#.....###.######.####.##.#...####
##.#.#.##.##..###....##...#..##...##.#....##....#....##.##..#####.##..######..#.##....###.....#######.##...##.##....#...#.#######.###.#.#..##.######...#..##..#.#.#..##.#.###.##.#########...#####.##.#..##.##..##..#.#..#...####.##.....##..#.####.#.##.####....#..#....#####.#.....#.#.###.#...##...#.#######.####.#.......##.#.#.##..#..#.#.###......#.#####..##.#.#..#.#.#..###..#.######.##.#.#.#.####..##.##...##.......#.####.###.####.#.#.##.#.##.####.###.####.########..#..#.#.##.#.###########.##....#.#.##.....#..##.#.##.#.##.......#####..######.##..#.#..##.#.#....##..###............#########.#..#.#..####......#.##..#.#.######..#..##.###.######.#######.#.###.##.###.....##...##.##.#.##......#.##.#.#.#.#.##.##.#...#.##.#.####..#.####.###.###.#####...##.#..#..#..##....####.##.#####......#.#.##.#......####.#.###...#.#.#.#..##...##.##.####.####....####..##...#.#..#.#..###.#..####.#.#.#####....##.####..##..#.##...####.#.###.#.#..#.#.##..#..#.#####...#####.###..#.#.##.#.#.#.##...##.......###..#.####.#
#..#.#.#..##.##...#.####.##.####.##..##.#.########.####..##.##.....##...##.##.###..##.##..#.#......####..####.##.##.###......##.........#.#####.#....#.##.###.#.#.##..###...#..#...##......#.##.....#.##.#####.####.#.##...#.#.....###.#..##................#.#.##.##.##...##..#.#.#.#.###...#.#..##.####.##.......#.#.##.##..###.#.#..#########.##.#####...#.##.#..####...#.##..##.##.....##.####.#.#...######.##.#.#..##.##.........##....###.#..###..#..##...##...##........##.######.##.#.........#.#..###.##.#..##.#####.##.###..#.###.##.#...#######.#...##.#####.##.####.#.###..#####.#.##.##...#.#.#####.##.##....#.#.##.#.###...#.#.###..##.##..###...##.....#.#.#######.##...#.#####..#.##....####.###########.#####.##..#.#######..#..##..##..##...##..##.....##.##..##...###..####....#.#####....####..........#######.###.##..#.#######.##..#.....#..##..##.##.###..#.####.##.#.##.##.....##....#.###...##..##.##....#.####.#.##.#....################.##.##.##.....###.##......####.######.#.#####.#####.#.#...####......#
#.##.#.##..#####.##..##..##....#..##.##.#..#.##....##.#.##..#..##.###.#....##...##.##.###.#.##.#####.###.#.....#.#....##.######.##.###.####.#.....##.######...#.#..##.##..###.##.#..##.#.#.#..#.#.###.##.....#.##...#####.#####.#.##...#.###.###.#.#######.####..#..#..#.#..#.####.###.#####.####.#........###.#.###.#.##..#.######.##.....###........##..#....####....##.##.##.###.#..#.#.......#.#.#.#....##..##.#.##.#..##.#.#.#.#..##.#####.##..#####.####.####.##..##.#.###.......#.##.##.#.#.##.....##...##.#####.....#.##...####.#.#.####.#....##.....#..#..##...##....#.#...##....##.#..#..#.#......#.#..##.#####.#.#.######.#.#####.....###..##...#.#..#.#.#..............##.##....##.##.###.#..#.####.#.##...#.....#..##.#....#.##.##.##..##..##..#....###.##.##..###..##.##.##....#.####...#.####....###.#.##.#.#####.#...#.##.##.......####.###.#########.....#.....##..#.#..########..#.#.##.##.#..##.#.###..#..##.#.####...#..###.##.##.##.##.##.#.#####.##..##.#####.....####....####...#.#..#.##.#..##.#.##.##....###.##
#.##.#####..#.#####.####.#..#####.##..####....##.#.##....##.#.##..##..##.#.##.#..#.##.#.#####..........######.#####.###..####.#.##.###...##.#####.##.##.#####.###.##..###..####..#.###.#.#.#.##.####...##.##.#.##.#...##...##.###.##.#.#.##....###......##....##.#.###.#.#.##...####.....##...##..##.#.#.#.##..#.#####.##.#####.....##.#####...#.#.#.####.##.#...##.#####..#..#...#.##.#.##.##.#.#.#.#.#.#.####..###..####..#.#####.#.##......#####...###.##...##....##..#.#...#.#.###.#.##.##.#.####.##.##..#.#......###.###.##.#....#.#......#.#.##.######.##.##..###.#..##.#.#.#####.#..#.#######.##.#.#...##.##.....#.#.#...#.#.......##.##.##.#.##..#.#.#.####.#.#.##.#.##.#####.##.####...#..##.##...###.....#.#####.#.#.#####.##....####..#.####.###.##.###.#.##.###...#.##......#.#.##...##.#.#.#.####.##...#.##.#.........###..#.##.#####.##.###.....#.##..##.########..##...##.##.......##.#.##..#.##..#.###...###..#.#....###.#.##....#...................#..##..######..#.#....#.######..#.#.##...##...#####..####.##...####
#.##....###....##....##..##...##..#..###...##..###.##.#.#####.###..##.##.####.#.##.#..#.######.#.#.#.#####......##....####......##...#.###........##......##..#####..##...##.##.##...#.#.###..#..##..#.##..#.#.##.#.#.#..#..#...#.#..#.###..##.###.##.#.#..####..#...###.#..##.##.####.####.#..##.#..#.#.#####.#...######...#.#####.##.....#####.###....#..#.#.###......#.##.##.#####..#..#.##.#.###.#.#.#....#.###..##....##.....#.#####.#.#..#.###.##.######.####.##..##.#############..#..#.#....#..#.#####.#.#.#.####...###..#.#.####.#.#.####..###.#.....#..##.#...#.###.#.#.....#.####.......#.#..###.#.##.##.###.#####.#...##.#.##..#.##....#..##.##########.###.####.##.###.######.###.##.##..#..#.....#.###.##.##.###.#...###..#.###...##..#.#...###......#.##...##.##..##.##.#########..#####.....##..##.##.#..#.#.###.#...##.###...##.###...####.#......##........##.##..########.#.#.#####.##.####..##...#.#..#######.##.##..#.###.#.##.#.#.##.#.#.#.#.#.##..##.###..##.#.#.##.#........##.#..##.##..###.####....#..###.##.#
#.#..####...#.####.#.##.##..#..#####...#.#..#.##...#..#....##.#...##..#...##..####.##.#...#.##.#.#.#..##...##.#..#.##.##...#.##..##.##..###.##.#.####.#.#..##...###.###.#..#.##.###.##.#.#...###..##.#..##.#.#.##.#.####.##...#.#.#.##..##.##....#..######....#.##.#.##..#.##..##.......#.#.#.##..#.##.#..##...#.#....##..#.....##..##.######......##.#.#.##.#...##.#####..#.##.....##.##.#..###...###.###.##.####..#####.###.#####....##.####.....#.##...#..###.....##..#.####..###...##.#.##.#.##.##.#....##.#.#.#....#.#..##.##.#..##..#.#...###..##...#.#.#.##..##.##...#.###.#.#.#....#.##.##.#.##...#####...#...#..#..###.#..#.#.##.##.##.#.######..#.#.#.#.....#...#####......#.###...#.##..##.#.##.#####........##..##...#...#.##...##.##..##...######.#.#.###..########.##.##....###.###..#.##.#####..###..####.###..###############........#....####.#.#####.#.#.#..#..#####....##.#.#..##...##....#####.#.#.##..##.##########.#..##.#.##.#.#.##.#.#######.##.#####.##.##.###..#.#.#.####..#.##..#####.....#.#######.##......#
#.##..#.##.##.##...#.#..##.###...##..######.###..#.##.#.#.##..###..#.###.####....########......###.#.####.##..#.##.##..##.#####.##...##..##.#..###....#.####..###.....####....###.#.##.#.#.#...##..#.##..###.#..######....##.####.#..##.##.##.#.######.#.#.####..#.#.###.#.##.######.##...###.#..##..#.##..###.###.#.##..###.#####.##.......####.###..#.####.##.##.....#####.##.#####...#.##..###.####...#.##....####.....##....###.####....#####.##....###.######.#..#.##......##.#.###..#..#.###...#.#.#####.#.#.#.#.#####..#.##.######.#.#.#..###..###.#.#.########..##.##.#######.#.######...#.#.##.#...##..#.##.##.##.##...##.#.#..#..#..#.#......##.....#.###.#.###..##.##.#.###...#.#########..#..#....###.#.###..##.##.############..#.###.#..#..##....###...##..#.##..######..##.....#.##..........##...#.####....##...#.##.#.#..##..##.#######.###...#####.###.#######.......##.######.##..#..##.#####.#########......###.#..#.##.##.#.#..#.###..#......####...#.##....##.##..######....#.######.....#.###.........#####.#.#.#
#.#..##.....#.###.####.##..##..#.###....#.#..###.###..#.#####.#...##..##..##..##..##.#....##.#...#.###..#..##.####.#..##..#.....########..#.##...##.###....##.###.########.##..##.####.###.#.###..######...#.#.###.#.####.##....###.##...#.##.#...#......#....#.####.#.#.#.##.##.....##.####..##..##.#.#..##....########.#.#.....#..##.#.##.##.....##.#....#.#..##.##.##.######.....##.##..##...#....#.#.#..####.#....#.#..##.#.#.#...###.#....##..##.#..........#.##.###..####.#......##.######...#.#.#.....#.#.#.#.#..##...#####......#.#.#.##...#####..#######.#....##..##......##.#......##.##.#.##.#.#######.##.##.....###.##.###.##.###.#.###.#.##..#.#....##.#...##....##.#.....#...........##.##.#.##...#.#...#####.##...........##.##..##.#.###..##.#.#########......####..##.########..##.###.###.##.###....##.#.##.#..........####..#..###.####.#.#.........#.......##.######...##....#####.###...............##.##.##.....##.##..###.#.##...##.#.#.##..##..#.#.##.#####..##.#######.#####.#..#.##.#######.#.#.#.##.....###.#
####.#..##.##.#...#.####..####.###...#.##...##...##..##....##.##.##..##..##..##..##....##..###.###...##...###.##.#.##.##.##.###....#.#.#######.#..#.#...#.##..#......##.#...##.......#..##.#...##...#####.##.#.##.........##.#.###...##.##.##.#.#...#.##.#.##.#...##...#.#.##..##.#.##.....####..###.####.###.#.....##.###...##.#####..#..#####.#.##..#.#.#######..##.......##..#.####..#.###.####.#.#.#.#.#######.##.###.##..#...#.#...#.#.#.####.##.#.#######.##.##...##...##...#######....###.#.#.#.#####.#.#######.##..#.....######.#.#.#..###.....##..#.##.#.###.####.###.#.###..###.##..#.##.#.##.#....##...##.##.###...####.##...#.#...#...#.#.###.###.#.#######..#########.##.###.##.#.#.#..#.##.#..#.#######..##.#####.#.#.#.##..#..#.#####.##..###.#.....#.#.####.#......###...###.##.###...#..####...##.##..#.#..###.#.##.#.#....#.#####......#.###.####.######.#.#.##..###.#######.#...###...#.#.#.#.#########..#.....#.#.##.##.##...#####.##..#.#.#####..##..........#.##...#.#..#...###.#.##########.##########..#.#..####
##...#####.####.#......##.#......###.#.#..#..###.##.##..#.######..##.##.####.##.####.#.##.###...####..##.##.#....#.#..##.#..#...##.........##..#.##.#####..##.##.#.#.#....#..#.##.##.#.##..#.#.##.#..##....#####..###.##.#####...##.##..##..###.###.############.###.#.###.##.##..#.##.##.##..##.##...#.###...#.#.#..#.#####..#...##..###.###...#.##.##.####..###.####.#.##.#####....#.##.##....########.#......##.##...#.###.##.##.#.###.#.#.#.####..#......##.####..#.#..#..#.#######.##.###.#####.#.....###..#.#.##..####.#.#......#.###.#.###..#.#####........##..#.#...##.#...##..##################.######.###.##...######.#####.####.####.######.....#.#...##..##.#####.###..#.#.##########.##..#.##.#.......##..#.###...###.#..#######.##.....##...####.##.......##.#.##.###.##.##........######...##.#..#..#.#####..####..#####.##.#...##..#.##...###.####.....############.#..###....#.###...#.#.#.###.........#.###.#.#######..#.##.#....##..##.#.###.######..#.#.######..#.#.....######.#....##.##.#.#.#.#.#.#.##.#####....#
#..#.#........###.##.###..##.##.##...####.##..##.##..##.#...##...##..#..#.#...#.#.#..#.##.#...#.#..#.###.##.#.####.#.#####.##.#.##.#.#.#.###..#######.....##..#..#.####.#.#.#####..#.#.##.##.#.##.##..####..##...#######.#...#.###...##.##.###...##..#.##.##.#.###.#####....#####.#.##.#.....##..#..#....##.#.#.####.....###.######..##.....###.#.##.##....##......#.#.#.#......#.##.#..#..#.##....#####.#.#.#.##..##.#.###...#...#.#######.#......##.#.##.#..#..##..####.##.##..........#.#.#..#.##.#.##.#####......##..##..#.#.#.##.###...###...##...##..##.#######...##.#####.#####................##....##.....###..#..........##...##...##...##....#.#######....##..........##.#.....#.#....#.#..##..#.##.##.#.#####...###..##.##.###.#######.##.#..####....##.###.###.###......#####.####.#....#.########.##.##.....##...###.....###..#.#..#.######.##.#....#.#.#.#.#.#.##.###...##.####.#.####.##.#.#...##.####.###...#.#.......##.#.##.#.#.####.####........####.#.#...#####.#.##.##.....#....##....................#####.#.####
#.######.#.##.#...##...##..####.#..#..##..######.#..#####.#####.#######...##.##...##.#.#..#.#.#...#####..##......###.##....##.#.#..#.#.#.#.##......###.#.##..#####.###..#.#.....#.##.#..###..#.##..#.#####.########.#....#.###.#####.#..#....##.####.............#..#.#####...##..#.####.#.#..##.##.##.#..###.####.##.##...###.##.####..##.###..#.#..##.#.##..##.#...#.####.##.##.##.#.##.##..##.#...#.#####.#..#.##..#...##.###.#####..#####.#########..#.##.#.######.#..##..##.###########.##....#.#.##....##.##.#..##..##.#####..#.#####...###.##.#####.#######..##.###...##......##.#.######.######..##..##.##...##.#.#.##.##.###.#..##.##..#.##.#.##.......#.#.##..#.#.#######.#######...#.#####.#######...#.#.......#...##..####.......#####.##.##..##..##.##...###.#..##.##.#.#.#.#....#.##.#.........##..#..#######..#.#...##.#####.#.##.....#..#....###.######..........#.#.###.....###...##..###.#.#.#.....###...#.####.#.#####.#.##.#.#.#.#..#.####.##.#...##.#.#.#.....#.#..#..##.####.#########.###.#.##.#####..#.#.......#
###.#.####.#####.##..#####..##..##.#.####.#......##.#.#.....#.#..##.....###..##.#########.#.#.##.##.#.##.#..#.##########.#.##.###.##.#.#...##.####...#.#.###..##...#...#####.##.#######.##..##..#.##.#.....#.##.#.#.##.#....##.....#.##.#.#.##.....#.#.#.#########.##...##..#..##.#.#....###.##..#...######........#####.####........##.#....#.#####.#..#.###..#.#.###....#.#...#.##.###..##.##..###....#.#..#.##.##.###.###.#...#.#...##..##.....#.####.########......#.##..##.....#####.#.....#.##.#.#..##..#.##.#.###.##......##.#...##..###.###.....##.........##..##..#.####.#######.##...###.##.##..####...##.##..#.#..######.#.#.##..##.##..###..##.####.#.#..##.###.....##..........#.####.........##.###.######.##.#####.##.######.##.##..##.#..##..##..##.#.....##.##.##.#.......####.#..##.####.#..#.###.##.#.###.###.#######.##.#.##.#.#...###.#..######.##.#.#.####.........##.##...#.###.##..#.####.##..######.##.#.#####.######.###...##....###..#.##.##..#.###.#####.#.##.##...............#..##.####....##.##.#.##.#.##
##...........##...##.....#.####.##.#.##...#.###.###.#...#.#.#.#.###.#.#.##..###....###....#.#.##......####.##........##..#.#####..##.#.#.#.#..########.#..###..#####.#..##....#......##.###.###.#..###.###...##...#....##.#..##.##.###..#.#..###.#.#####.....##.......#####.#.#####.##.#...#######.#.....##.##.#.#..##......#.#####.######.###..##...#.##..##.####..##.#######.#####...##..#####...#.##...#.##.####..##....#.#.#.....#..#.#####.#...#.##..........#.#.##.##.##..#.#.........#.#.#..######..#.##..#.###.#####.##.##..#.#.##.###...##.###..####.####.##.##..##.#........##.....#####.#..##########.##..##.#.##......#.#.########..##..##.###.####.#.#.##..##..#########.#.########.####.##.#..#..##...####.##....##.........#.....##..###.####..##..#.#.#.####..#.######.###.#.#######.....###.####..........#..##....##.#..#.###..#.#.########..##.#...###.#....###.####.######.#.#...#.##.##.###..###..#...#.#.....#......##....####.##.##...#############...#....##.#.##..##.##.###.###########..##..##..#.##.#..######
#..#.#.###.#..##.##..##.##.##...####..###.####....#.##.##.###.....#.#.#.###...#.#.##.####.###.###.#.#...##.##.#.#.#.######.#.....###.#.#.#.##........#.##.#.####.#...#.##..##.#.##.######.....###.##...#...#..#.#...##..#.##.##..#...##.#.##.##..####.#..######.####.###.#######.########.####.######.####..#..#.#.###.#.##.#....##.#.#......####..#.#..#.#####.#..###......##...#.#######..#..##.######.#####....##.##.##.#.####.##.####.....#####....##.#.##.#.##.#..#..#..##.#.#.##.#.#.####.#.###.##..##.#..##......##.####..##.###.##.....###...##.#####....######..######.#.#####..#.#...#.#...##.##....##.#..###.#..#.####...#....##....##..##..#......#.#.#..##..##........##.#......##...##...####.##..#.#....#..#.####..#.###.#.#.#.###..###....#######.#.#.#....####.#.##.....###.#.#.###########....#.#.#.#.#.##.###.####....######.####.##.#.#.##......#######.######....#....#.###.#.#.#.##.##...##..###...######.##...##.#..####...##.##.##.#...#.#..##...##.##.#.###.###..##...#..##.........##..####.########.#####.#.#
####.###...##.##..##..#..#..#.#.#....##...##...##.####.##.####.####.###..###.#######........###.#.####.###.##.#.#.#.#..##..#.###...##########.#.#.#.##..#.#........###..##.##.#.######.#####.####.#######.##.####.#.#..##.####..###.##..#.##..##......##.####.#.#..#..#...##...#...##............##.#....##.##.#.#.##..#.##...#.###...####.#....######.##....##.##.##..######..#.........##...##.....##......##.###..##.##.#.##....#..##..#.#.....#.####..######..#.##.####.#####.###..#.#.#.#..#.....##.##..##..###.##.......##.#....#.#..#.#...#.#.##.....##.#########..##....#.#.####.#.#.#.....###.....#.##..#.###..#.##....##.##.#.####.#.##.####.#.#.#.####.####..##..###.#.##########....#.####.##.###..####.#.##.##....##.#...#.#.#.#...##.##..##....##...#.#.#.##.######..###.####................#.##.#.#.#.#.######........####.##.####..........##.##.#......##......##.#.##.#.....#.#.###.#######..##..#######.....##.#.#####.##...###...#.##.#.#.....###.#######.#...#...######.#####..####.#.##..###.#....#.##...#.#....#
#......#.#..#.#..##..##.##.#######.#.###.##..#.#...##..##.#......##.######.#.....#.##.###.####......##...#.#..###.#.#.######.##..#......##....#.###.##.###########..##.##...#.#...##.#.....#....#..##......#..##..#.##.##...###...####.##.##.###.####.##..........#####.######...###..###.##.#.####...####..##.###..##.####.#.###.##.##.#..#.######.##.###.#.##.....##......##.#.##.##.#.###.###.##.##..#.#.#####...##..##.#.#..#.###....#####.##########......#.##..#....#..##.....##.###.#.##.#.##.##..#..####..##..#.#.##.######.######.###.###.#..##.##..#####.##.##.#####.##......###.#.#.#.#.....#.###..##.#...####.##.##########...####.##..#.###.#.#...##....######...#.#.##..#######.###....#......####.##.###...#.#.#####.#.#####.#.####.##.####.######.###.#..#......##.#........##.########.#.#######.#.#.#...#.#####.#.#.......#....####.#######...####.##########.###.####.###.#.#.#..##.......##..##.....#.#.#.#.##.#.....#.##.#...#.#.#.####.#.#.#..#........#.#.###.#.....##...####....##########....##....#.###.#.####
#.##.#.#.#.##.##.##.########.##....#..###########.####.#####.#.#.##...###....#.#.#....#......##.##.##..#.#.##...#.#....##.....##.###.########.#...###...##...#..#..##..####.###.#......#.###.####.####.##.##.##..##.#..###.##.###..#.####.##.#......#.##.#.#.#.####.##.....##..#####.##...##.#.##...#...##.###...##.##....#.#..##.#####...##...##.......##.#.##.#.####.##.######.##..#.#.#.....#..#.###.#.#.#.#####.###.##.####.#.#.#.#.#####.....##...###.#.######.##.#.##.####.#.###...#.#.##.#..#.###.##...##.###.##.###.....##.....##....#.##..#.##..##.####.......####.....##.###########.#.##.######.#########.##...##....#.#...#.#.#.....#.##..#..#.#.#..##.#.###.#..#.###..#.##.....#..#######.#.##.......#...#####.#...#####.....###..##..#...##....##....####.####.####....##.#.#..###..#########....######.#.###.#.#...####.#.##...##..##........##.####.........#####.#.##.....###.###.####.###.##..##..#.#.#.###.#..####.####..#.##.######.#....#.#.#.##.##########..#####.##..#.#....#.##..#.##.##.####..##.#....##......#
####.#.#.#.#####.##......###....##.##..###........######.#.#.#.###..#...#.#.##.#.##.#####.#####.##..#.####.##.#####.######.#.###.##........##.#.#..##.######.##...####.#.####...#.#.#.##...#....###..####..#..##.##.##..##.....#####.##...##.#.#.##.#.##.#.###.......#.#######.###.######.##.######.######.#.#.######..#.##.##....#.#.##.##..#.##.#.#.#..###..#.#..##..##...#.##..#.##.#.##.#.##.####...#.#......##.#....#.##...#...#.#...#.##.##....#...######.#.######..#.##.#.#...#.#.#.#..#.#.##...#..##.#####...##..###.##.##.#.#..###.######.#..####.......###.#.##.####.##....#.#.##.######.........###.##.##..##.####.#...#.########.#.##.###...##.#.#.##..#.#.#...##...##....#.########.#...#.#.#..#.##.##.#....#####.##.###########.#######.####.#####.#..##....##..#.###.##..#.##...##......#.##.####.#.####.......#.#.##.###..#.#..#.####.#.#.#.##....##.##.#.#.....#.#.###.##...#.##...##....#####..#.##.#....##.#.##.....#.#######......#.##.#.#.#.#...........####....##..#.##.##.#######.......#.#.#####..#.##....######
#....#######.....#..##.###...#.##..###...#.##.#.#..##........#...##.#####.#..######.#......##.###..##.#.####....##.....#.#.###...##.##.###..#.#.#.##..#...#.....#..##.....#######.#.###..####.#.....##....########..#..##..#.#.......####.##.###..#.#..#.#...#.#.#.#....##.#.#.#.#.##.#...##..##.........#.#......##..##..#.##.##.....##.#####.##.###.#.##...##.#.####..#.###..##.#..#.####.#.####.###.####.###.######.#.#####.###.##.#.#....#..##.#.##.###.#........##..##....#.#.###.###...##.#..##.#####......###..##..##..#.##.####...#.....##.##....##.#.##..######..#.#..##.##.........##.###.#.#.####.......##..#.##...#.#.#.#.##.#.###.####...#..#.#.#..##.#...##.###.#####.#..............#.###.#.#####..###.##..#######.#.##.#....#...##.....##.....##.##..###.####...##..##.####..###..##.#...............##.##.#.####......#.##.####....#.#########.###..##.####.#.##.###.#.##.#######.##..##.###.##.#.####.#.##..####.#.#....#..##..##.#.###..#.#.#.##.#####.##....##.#..#.#######.....##.#.#####.....#.##..######.#....###
##.#.....##..##.###..#..##.#.#..##...##.##########.##.#.###.##.###......#.##.##.....#.##.#.....###..#.....###.#####.##...#####.####.##..##.##.#.#####.#.#...#.#.##..##.##...#...#.#...##...##.##.#######.##...#.##.###.###.#.#######..##...#####.####.##.##.####.#.#.####.............##.##..######.###.#####.#.###..##..##.#..##.#.###...#..###..##..#..###.##.###.###.#.....########.##...#...#....#..##...##..#.#...#....##.#.#.#..###.#######..#.##.......#.#.#.###.##..#.##.#..#####..######.##..#...##.#.###...##..##..##.##....##.#####.###.###.#.##.#..##...#..##.#.#####.#######.##......###.#....#.###.#..#.##..###.###......#....##....#####.##.#.##..####.##....#....##.###.#.##############.#.....####....##...#.#..........#.##.#..###.#..##.####..###..##.#..#.#####..#....##.....##..#.#.#.#####.##.##...#.#....##.#.#.####...##.##.#......##.#...#####....###........####....##...##.##......##.#.#.#######.###...###.##...############..##.#.###......#..##.#.####.##.......##.#.###.......##.##....#########.####.#.#
##.##.#.####.##.#...###.##.#.#.##..###..#.#.#......####.#...##...###.#.#####.#..##.##.#..#.#.#...##.##.##.#...###...##.#.##....#.....#.###..#.#.....#.#.#.#.###.########..#...#.###.#..##.###..#..##......###....###.....###......#####..###.....#..#.####....##.#.#....##.###.#.#.#.##..###..##......###.##..######..##..#.##.##.#...#.#...#########.#.####.##......##.#.#.#..#.#.########.#.#...#######..#.#..##.#.#.###.##....#.##.##....#...##.#..##.###.##.#####...#####..#.##..##.##..#..##.###...#.####...##.####.###.#####.####......#.##....#.#.#..#.####.##.##......##........#.##.###########.#.....###.##..##..##...#.#.####.####..#.####....#.#..##..##...##.#.##.####...#.#.........#....#.#.#.#....##.#####.##.#.#############.#.###..#.###....##..###.##...##.....#.##.##..##.#.########.#....####...#####.#.####..######...###..##.#.##.####.#.#.#.##..######.##.###..##..####..#.#..###.###..###.........#...##.##...##.#..#.##.##.#.####..#.####.##.##.#######.###########.##.###.##.#.#.###########.#.#.##.....#...#
#..##.#...##.####.#...####.#.#.###..###.#.....##.#...######.##.###...#..##.###.##..##.##.###.##.##..####..#.#...#.#..###..##.#.#.#.#.#...#.##.##.####.#.######....###....###.##..#######..#...###.#..###.##...##.....#.###...##.#.....####...###...####.###.####.#.#.##.....##.###.#.###.#...######.####...##......##..#.#####.#####.####.#..#.#..##..#....#####.##.###.#.#.##.........##...#.#.#......###.#.##....#.#...###..#.#####..#.#.##.####.#.##....#.#####.##.#....#####..##.....##...##....##.##...####..#####...##..##......##.##.#######.##.#.##.#..##........##.#..##.##.#.##########.#.##.####.#########.####..#.#.#.#...##.#.#######..#.#.#####.##.####.###.###...##..###.###.#.#.#...######.#.#.#####....##.............##.#.######..##.#...#.##..##....##.####.#.##.##.##.###.###.###.#########.##.#.....#.#...###...###..#...#######..#..#.#.###...########.########.####..########.##...##..##...#.#.#.###.#..######.##.##...........###..##.#.#...######....##..###.#....####.....##.#.#.......##........###.#.##.#.#
##.#..###..#..###.#.#..#.###.#.#.#.##...###.#.##.##.##.......#.##..###.##..#####..##..####...##..##....##.####.####.###..##..#.###.#.#.#.#..#.##....######.#...##...##.#..##.###.....####.#.#..####.##...##.#..##.##.#.##..#.##.#.#######..#.#...######.#......#.#.####.#.####..####..##.##.###..........#.#..#.#.####.###.#......##...##.##.....######.#####..###..#...#.#..##.########..#.###.##.#.#..##.#..##.###.#.####..##...##..####.#...#.######.####........#.##.#.....##..##.#.###.#..#.####...#.#..####...##..#.#..##..#.#.##..##.#.#..##..#.#..#.##..##.###.######.##...#####.#.###..........##..####..##..##...##.#.#.#.#.......#.#.##.##.#....##.##...##.##....##.####...#...#.#####.#..#.###.#.#.....#.######.#.#.######.......####..###.##.##..##..###.##..#.######..##.#....#....................###.#.#.#.#.###...###.##.#.#.....##..###.#....##.#...........#.###.####.####.###.#######..####..#.#.#.#...#.#####.#...#...#.#.##.#.##...#.##..#...#........##....##...#.#####.#####..#.###.#######..###.####.###..#####
####.##...##.##...#.##.....#####....###.##..#..#.##..######.##..##..##.###.#.##..####.#....#.###.##.##..#.##.....##...##.##.####...#.#.#.##.#..##.#.##.##....#..###.##.#.##....#.#.#...##.#.##...##.###.##..#.###..#.#..##.#..#.#.......#.#####.###.#.#.##.#.#####....#.#..#.##..#######..###...##.#.#.######.#.#.##.....#.##.###.#..#.#...#.######.......#.#.########.####.###........##.#..##.####.##.#..####....#.#..##..####.####...##...#....#.#.#######.#.########.#.##.####..###.##..##.#..####.#####....#.#.##.##.#####.##.#..##.#......#########.####.##..##.....###..#.#..#.##.#.....####.#.#####......########.##..###.#.#.#.#.#.........####.########.##...##.####.##...#.#.#.#..#.#####.....###.##.#.##..##.#..#.#.....##.##.##..#.#####..##.###.#####....##.....#.###..#.#.#.##.###.##.#.#.#.#.###########.#.#.##..#.#.#..###.#.#.#.##.##.....#####.#.#.####.####......#.#.##.....#.#.....##....##.#.#.#.#######.....##.##.#.#.#.####..#.#.#..######.#.############....###...........#.##.##...#...##.##.###.##...##...###
#.#...##.###..##.##..#.###..##...#.##...######.#.##.##.......######..#.#.#......##....#.##.#.#....#..#.#######.#..#.###..#..#.#..#.#.#.######.##..#.#...##.#.#.##...##.#..##.###.#.##.#####.#..#..###....##.#.#...##.#.##..#.#####.########.#............#.#.....##.#.####....##.......#######.##..#.#.....##.###..###.###.##...#.#.#####.##......##.##.#......#.###.#..##....##.#.#.#.##.#.##.....#######.##...#.#####..##....#....##.##..####.#...........#.####...##..######....##....#.######...####.##..#.##.#.##.##.##.....#.#.##..###.##....##.#.#.##.#..##..##.##...#.##.##........###...####..#.##.#.#.##.#.##.#..##..##.#.#.#.####.#.##.#.##.#.....##...####..#....#..#.#.#.#.#.##.......#.#.#...######..#.##....##.###########..##.......##.##.#.......####.##.#.#.....#.######.#########.###.###........#.##.###.##.##.....######.#.#..#######.####.########........#.####.#.##.#####.#.##.##..#.##..#.#.#..###.#####.##...#.#.#.#....#.##.#.##.##.....####......#####.#.....##.##.#####.####..#...####.....#.....#..#.###.#
#...#..#.#.##.##.#..##..###..###.#..#####.##...########.##.#....#.#.##.#...#.#.#####.##.#..#.##.#.#.##.##...##.####...##.##...####.###....##..##.######....###..#.#..#.#.###.###########....##.####...#.##..#.##.#####.#..##.#.#.......#.##...###.#####.##.#######..#....##.#..##.#######.#.....##.#.##.##.##..##.###.......#.###.#..#######.######..#..##.#.#.......#.####.#.####.###.##.#..##.#.####.##...##.####.....####.#.#.#####..##....###.##.##.#.######.#.#####....######..##.#.#.#.###..#.......##.###..###...#.##.##.##.#..#.##....#.##......#.#....##..#######.#####.##.#.##.#...#.#....####.######..#...#..######..#.#.#.#####..#..###....#.#.######....#.###.#.##.#####.#.#.##.###.############.####.#..###.###..#####....##..###.#.#..####.##.###.##.....#.###.#.#####.##...........#..##...###.#.##....#..##.##..##.##.#....######.##.#..........#.#.#.#####.#.##....................#..##.#.###.#.#.##......##......#.#.###.#.#########.##.#..#.#......#.##.....#.#.##.#####.....####..##.##.##.#..#.#...###########..#
##.###.#...##..###.####...####...#.#####.....#.....#.#..##.####.#...######.#.#..#..#######.###..#.#..#.#..#......##.#.##..##.####....########..#.##.....##.#...####.####...#.....###.#.##.#.#...#####.#..#.####......#.##.#....###.#.###....#...#.....#.##.......##.#.#.##..####..........#.#.#.#..#.##..#####..#.#.##.#.####...####...##.........##.##..###.#.##.#.##..##..#....##############.#.......###.##....##.#.####..#.#...##..####.###....#.##.####.#........##.##...##.#.#####.#.....##.#.#.##.##....########.###..#..###########.###.##.######.#.#.####...#####.#.#.####.#..###.###.#.##.####.....###...###.###...#.##.#.#.....##.##..##.#.##.#..##.#..#.#####..#..#.#.....#.#..#.##....##.#.#.....#..####...#...##.......##..##...#.####.##.####.#####..#.#.#...#.#..#.##.#..#.##.#.##.#.##..###################.##.##..##...#####.#.###..#.##.##.##...........#.#..#.#####.##.#.##.###.###.#..#..##.###..##.#####..##.#.###..##.#......##...##.#######.#.#######.#.#######.##.###.#.##.##.#####.......######...##.#.##.#.##
#...##.##.##..###...##..#....##.##.#...####.####.###...##....##.#.#..##.####.##...####......##.##.#.##.#.##.#.#.##..#.##.##..##...#.######.###.#..##.##.#..#.#.##....##..#.#.#.#.......##.#.###...##..#.##....##.##.########.#..##.#...##.#.##.##.#.#.#..#.##.##..###.#.###....#.#.#.#.##.###.#.#.##..##..#.#..####....#....#.#..#.##.####.##.#.#..#.###...#.#.##.####.####.###.####.##.##.##.#.#.###.#...###..##..#.#..##..#####.##..##......##.#.###.........#.#######.##.#..#.#....##.#.#.#.##.#.###...####....#.##..##..###..##.##.##.#..##.##......#.#.#.#####.##.##.......#.########...###..#......###.#.######..#.#.###.#######.#.##..#..##..#..#.##..#.######...#.##.##.#.#.###.#.######.####...#.#.#...###.##.###.##..#.#.###..###.#.#.##.###..##.......#.####.#.###.##......#.##.##.#..#.#..##...........#.##.##.###...##..#.#.........###.#####..#.##.###.##.#.##.#.##.....#..###..#..#####..#.##.###.#...##...####.###.#.##..###.#.#.##..#########......#...##.######.#.#........###..........##.#.#.#......#.#............#
##.###.##..##...#.#.###.###.#####..###.......##....###.###.#..#####.##....##..##.###.#####.###.#..####.#..###.#..##.########..#.#.#..........###.##..#######.#..###.##..####.#.##.#.#.##..###...#####.#.#..####...#.##...#.#.#.#####.#.##.#.##.##.#.####.#.####..######.#.#.####.#.#.#..#.##..#.#..##..##.#.#.#####.##.#.##.#.#.##.....##..##.#.#.##...##.##.#.##....#.##...##................#.#...#.#.#.#...####.####..##....##..##.#..#.##..########.##.#.#########.###..##...###.##..###.#.##.#...##.##.#######.#######..###.......##...###.##.#.##.#.###..##.......##.#.##.......##...#.##..####.##...#....#.#.##.#.#.#####.#.#.#####..##.###.##.##..##..........#.###..##.###...#.#.#.#.##......#...####.##.#.##########.###..#####.#.#.#......##....##.##.####...#...###..##.#.#.##.##.#.#####.##.#.##.#.##...........##.##..#####.####.###.#..##...#####...###########.###.#.###..##.###...#.####..###.###.#..#.#....###...#..##...#.#.#####..###.##.###.##.#.#.............##.#.#########.#.#.#######.#.#.##.#.#.###.######.###
#..#....#.##..#.#.#.#.....#.##.##.#####.#.#.####.#.##....#.#.###.#..###.#....##.......##.....#.##....###.##...#.###.......#######.##.#.#.#.####..##.##.......##..##..##.#.#..#..#########.#...#...#.######.#....#.#..###.....#..##...#.##.#..###..#...##.###..##.#...##.#.....####.#.##.#..#.##.##.##.##....#.#.#.####.#.##.#.#.#..#.###..###.###.##.#.##..###.###.#.###..#.##.#.##.##.#.#.#.##.#######.###.#....#..#.#.##..##.#########.#..##..#....##.####...##....#...##..##.####.##.######.##.#.###.........#....#..##..##...#.#.#.#..#...#.#..#.############.#.#.#..#.#.##.##.##..##.##..##....#.##.#.#.####.#.#.........##.#.#.....##.##...###..#..##..#.##.##.##...#.##..##..#.###......#.##.#####....###........#..#.#.##..##.....#.###.#########.##...###....#.###...##..#.#.#.##.##.#..##.########..#.##.##.#.######..###....##..#.####....#####..##...#####.#.##.##...#.########....#.#....##..####.###.#.####.##..##.###.##..#.#.#.....##.....##.#....#.#.#.########.#.###.#.........#.###.......#.#.#..#####..#########.###
##.##.#.#..##.#.#.#.###.###.##....#.....#.#....#.#.###.#.###..#..##..##.##.#..##.#.##..##.##.#.###.#...#..###.#...##.##.###.##.#..##.#.###..#.##..######.#.#..##..#.###...##.##.##.#.#.####.###.#...##.#.###.##.#.##.#####.#.#######.#.##.#.##...##.#.##.....##....###..#.#.###..###.####.##.#...####..##.###......##..####.#.###.##...#.##....#######..##.##....######..##.#..###...#####.#.##.....##....#.#.#.#####...##.##.....##.#...#.##..##.####....######..##...#####.##....#.#......#######...##.#.######.####.####..###.#.#.#.##.##.####.##...#.##.#.....#.#.#.######..##..#.##...#.##..#.#####.#.#..........##.#.####......###########...#####..##.#.#######..#.#..##..##.#..###.#.########.####.#####.####.#.#.##....##....#.#.####.......##....#.#..##.#.##...##.##..##.###.##.##.##.......#####.##..#..#.#.....###...#.######....##..#########..###.#.#.#.#....##.###.##.#.####.#.####.#..##.##...#.#####.##..#.###...#.#########.#######.#.###.##.#######.#......######..##.##.#######...####.####.##.....##...#.....#...#
##.####.#.#####.#.#.#....##..##.#######.#.#.#.##.#.#.#.######...##..##...#.##.##.#.##.##...#.#.#...#.####.#...#.#.#####.##.......###.#...##...#####......#.##.###.###...#.##.##..........##.###.#.#........###..#.####.#####...#.##..#.#..#..###..#.###..######.##.#.######.....######.#...#.##.##....##....#.#.#.####....###...#.#..#######.#......#####..###.####.#.##.#####...#.#.....#.#..##.######.#####.#...####.##...#.#.###..#.#.#####......###.#...##.#.#####..##.###..#.#####.#####..##...###..#...##........#.#..##...#.#.#.##..#..##..####......#.#####.#.#......##..####.###.##.##.##.#.#.###.#.#.##.#.#..#.#..#.#.######.#.#.#.##..#.#.#.##..###...##.###.#.#.###.###.#.##...#.##.##.#....####........###....#######.########..#.#.#.#.#..#.##.#.#####.##.#######.###.###..###..###.######.#.############.#.#...##.#####.#.#.##..#.##.#.##.#####...........####....#........#######.####..###..###.##.#...#.##.##..#.#....#.##.........#####.......##.......#######.#.####...#.....##..#....#...##.##.#####..#...#.#.###.#
#...##..#.....#.########..#.#####.......#.#.#.##.###.......###.##..####.#####.#..#.##..##.##.####.##....###.#.###.....#.#..##.#.##...#.#..#.#.....#.#.##.#.#..#.#.#...#.#.##..##.#.##########...####.#.######..####.##.#.....#....##.####.#.##...##..###....#.###......#.#..#.#....##..########.##.##.##.#.##.#.#...##.#.##...###.##..#.#....#.#.##....###.#...........###.....#.#.##.#########.......#...###.#.#.#.#..####.#.#..###...#...##..#.##...###.#......#...####...########......#.#.####.#####.#.#....#.##.#...##..###.###.#..##.#.####...##.#.##.#.#.....#.#.##.#..##..###...#..#..#.#..#.....#.#.###..#.#.#####...................######...###..##.#......###.#...#.#...#..###.#.........##..#####.####...#######.#.#......#.###.#.#.#.####.#.##.#.....###........#.##....##...####.............#.###..#..######.##..........#.###..............####.#.#.#########.####.#.#.###.#.#......##.###.##........#.#..#..##.#.##.#....##.#.#.#####..##.####..##.##.#.............##.###.#.#######.#.##.#.####......#.###.####...###
###.###.#.#.###.##.##.##.##...##..#.#.#.#.###.##.##..#.#.#..##..##.##.....##..##.#..##.##.##.##...##.####...#.##..########.#..#..###.#.#.##.##.#.##.#.#..#.##...###.#.#.#..##.##.#......#.##..#..#.###.#......##.......##.#.##.####..##...####.#.###...##.#...#####.##...#.#####.#..#.##....##..##..#..###.##.#.###.#..#..###.#######...##.#.#.#..######.#.##.#.###.#.####.#.#.#.#.##....##...#.##.#.##.#...###.#.#...##....####..####.##.####.#.###.##...#.##.#...#####..#........####.#......##..##..#.###.##.###..#.#..##...###...##..#.#######.########.#.##.#.##.######.####.#.##.###.#.#####...###.#.#.###.##.#..##...#.##.###.###.########.#..###.#.##..##.#.#...###.#####.#.##...###.######.######.##....#######.##.#...#.#.##.......#.#.#..##..#..#.###.#...##.##.#.##..##.#.####.##...#.#.######.##.#...##.###.#.######.##.#.###..##.#.#.#.##.#.###.##.###........####.####.#.......#.#########.#.#..#.###.#######.##..####.##.#.#..#.#.......###..##..###.#..##.####.###.#..#...#.#....##...#..#.#....##.#######.#..##..#...#
##...##.#.#...####.#.....##.#..########.#..#########.#.#.#.##..##..#..##.##..##..##.##.##.##..##.##.....###.#####......##..##.#.###..###.##..###########.#.#..#..######.####..#..#.#.##...##.###....#####.#.#..#.##.##....#.##....##.###.##....#..##.#.#..#.#....##.######.....####......##.###..##.#.##....###...####.#.##........###.##..#.#.##..##.#..######...###....#.#.#.#####..##.##.###.#..###..#.#...#.####.######.##...##.##..#...####...######.#.##.##.##.....##.######....####.##.####....####....#...####.##.#..#..###.###.##....##......#...#.#..#.#.#.......####.#...#####..####..###...#.###...#..###.####.##.##..##...#.###.##...#.##.#.#####.##.####.#######..###..#.###........#..#.#......####.#.##..#....#########.#.#############.#.####...#.#.##..###.##.#####....#..###.#.#..###.###....###..........##....#.#...##..#.#.########..##.##..###.####.##.#...######.##.#.....##...##.....##.###...#.#.#####..##..##.#.##.#.#.####.##.#.###.###..##.#.....#...###.##.###.##.#..##.##.##.#.##.##......##.####..###.##
#..###..#.##.###.....#.#..#.####.#.#.##.##....#.#..###.#.#..##..##.##.##.##.####.##.##..#.##.##...###.#..##.....##.#.#####..###...##..##..##.....#.##....####.#.##.........##.##.#.#####.########.#...##..####.#.#####.##.###..#.##....#.##.##.#.###.#.#.##.##.###....####.##.##....###.###..##.##..#..###.###..#.##...#..###.######.####.##.#####....#.####....#...##.#####.#.##.###.##......####...##.#.##.##..##....##...##.#.#.....##.#....#.#..#.##..######...#.##.##.....####.###....##..#.#.#.##....##.#.#....#..######.##...#.#.##.#.####.###...#.#.##.###.##.#.#####.#.#.#.....##....##.....########.##.######.#..##..#.###.#.#......##.##.##.#.###...#.....####..#...###..##.##..#.##.#.##.....######.##.#..##.#.#####.#.#.####......#####..###.#.######.#..##..####...#.########..##.#.##.....####.#.....#####.######.#.###.#######.#........##..#.##.##...######....#......#.#####.#####.######.######.###.....##.###..##..#.###..#.#...##....#.##....##..###.#.####.##############.#.##..##.##.#######.####..#.##.#.##....#
##...#.##..#...###.#.####.####...........##.#...##.#...####.##.########..##..##..##.##.##.#..##.###...##.##.##.##..#.##....##...###..###.##..###....#######.#.#..##.##.#.#..#.#..#..#.####....##..##.####...##.###.....##...##.#######.#..#.#..###.#.#.#..#.##...##.#....#########.##.....##.#..##.##.##.....##.#..#.###.###....##...##...##.....##.#......####.#.#.##...###.#....#.#..###.##..##..#########..####..##..##.#####.##.#.##..#.####.##....##....##..#....#####.##....######.#..####...#.##.#.##..#.#.##.##..##.#######...#.##.#...##.####.#######.##..##.#.........#.#.########.####.##....#..#######....#.##.##.##...#.####.#.#........#.#...#######.####.##...#...##.##..####.######..#.#...........#.##.................#.######.#...##..........#.#####.##..###..........#.##..#.#..###.#.#..#.###.....####...#.#.##....#.#####.#.#.##..##....###..#.....##.####.###.##....######....#.##...........#.#.###....##.#..##..###.#.#.#.###.#####..#.###.##...#....#......#..#..#.###.###..###........#....##......######.##
##.#.#..##.#.###...#..##.....####.###.#.##..#####....#...##.##...###.##.##..####.##..#..####..#####.#..#.##..#.###.#..###.##..#...##...#..##...######.........#.##...###.##.####.##.#.#.###.#######..##...############.#..#######.##...#.#####.....#.#.##.#.#..######.#.####.#.##..###.#######.##...###..#.#..#.#.##.#.....#.##..#.#####.##..#.####.#.###.##....###.#..#...####.#...##..##..##.###..#.##.#.#.######.##.###..#.####..#.###.#....#####.####.#.####.##.#....##..#.##..#...#.##....##.####..#####.###..#..##..#...##....#.#.#..#.###.....#...#.##...##..#.####.##.#####.##.#..##....####.####.##.#...##.###.##..####.#.#...######.#.##.#.....#.....##..........#.#.#.######.#.....##.###.#.#.###.#####......#.##.#.#.##.#.###..##....#.#######.#####.#.##....#..##...#####.#.######.###.##.......##...#.#.#..#.#.#####..##.#.......#.#.#######..##...##.#.#.#.......#...#######....#.##.###.##.###.#.##.######...########..#.##...#.###.#......#####.##...#.#.#.#.##.#.####.##.##.#####.##.###.##.#####.##..##.#.#....##...#
#..#.#.##..#..##.###.###.#.#.#....#...#.###...##..##.#.#..#.#..###......#..###...##.##.##....##.....##.#..##.#..##.##..##..##.##.##..###.##..#...#####.##.#.#.#.######....####...##......#....##.###.##.#...##...##....##......#...##.##.##....###.###.##.####.##.#####.........##...#...#.##...###...##.#.##.#.###..###.#######.#....##.#..#####...#..##.##.##..##.#.###.##....#.#.##.####.#...###........#.....##.#....##......##.#..##.##.#.#........###...##..###.####..##..##...#####..####.....##..##....##.#######...#..####.#.#.####..##.#.#.##.##.##.#.#..##.##....#....##......####.#.#......##.#....####...#.###....#.#.#.#.....##.#..#.##.#.#####.##..#.#.#.##.###.#....#.#####.#......###.#...#....###########..###.##.#.####....##......###......###.##.##...##..#....######.##.....#.###.##.###..########.........##.#..#.#.#####.#.......##.##.###..#.#.##.#.####.#..#.######.##.##.##..##...#########..##.###.##.#.##.#..#.#.#...#.##.#.#.....#..##.##.#.#.#..#.#....#.............##...#..#...##########.###.##..##.##
##.#.#..##.#.###.#.....###.#.###.##.#.###...#.#..###.####.###.####.#.#.##.##...#.##.####..#.#######..#.##.#..#.##..##.####.##..#.###..##..#.###.##.....##.###.#......####..##..####.####...#.###...###..#.#.#..#.##.##..#.##.#...#.##..#..##.#..#####...#.##.........##.###.#.###..#####....##.##.##.##..#.##.#...##.#...##...##...##.##.#.##.#...###.##...#..##..###...#..###.####..########.#..##.#.#.#.##.#.#.##.##.#.#..##.#..####..#.##.####.##.##...#.#####..##....##..#####.#.....##...##.##.##..#####.##...##.#.#.####...##.#.#.#....###.#.#.#......###.##.##.##.##.#.#######.####..###.####.#....#.#.##....#.....#.#.##.#.#.#.#.#.##.#.##..#.#....##..##.#.#.#..#######.####.......##.#.#...#.#.###.##...........##...#.####.#.####.###.###.##.#.######...####..#.######.###.#.##..###.#.#.#...##.####..#..#####.##.###########.#.....###.#.#########..###.#.#..#.#..######.......#####.....##.##.#######.#.##.#....#..#....#.#.##.#.#.###.##.#.##.#.###.##.####.###.#####.#...##.#.#.#.#.##..#.######...###..#.###....#.##...#
##.###.###.####..##.##.##..#..##..###.##..#.#.##.##..###...##.#....#.#.##.##.######...##.##.....##..########.#..##.##.#..#####.#...##..#.##.##...##.#.###.#...#.##.#.#....####..##....##.#.#.....#...#.####.####.#..#..####..##.######.#.###.##.....##.####..#.##.#####...#.#...##....##.####..#.....#####..###.###..###....#..##.#####..#.#..##.##....##.##.###.#########.##....###....##....#.###.###.######.#..#.#..###.###.#.##....####..###...#.##.#.#.....##.##.##########.#########..#######..####.#...####......#....#.#.##.#######.###..#.#.##.###.###.##.##.##.####.....###....#.######....#.##...####.##.#.#####.######.#.#.#.###..#.##.####.#.####.####.#.#.###....#....#.#.##.##..#.#.#.#.#...#.##.#####.#.###..#.#..##......####...#####..#......##.##....##....##.........#.##.#########.##....##...##.#.########.#.#...###.#.#######.........##..##.#.#.#####.....##.#######.#.#.###.........#.#.#........#.##.##.###########.#...#.#..#.##.#...#.#....##..##...##..###..#.#####.#.##.##......#.###.#.##...#.#.#####.#.#
#..#...##..##...##..##..#.##.######....##.#.#.#...##...##.##..#.##.###.##..###......#..#####.#.####......##..#####.####.##.....#.###..##.##.##.###..###...###.######.##.###....####.#..###.##.#.######.#.##.##.....###..##..###.#.#.##.#...#..##.#.##..#.###.#.##...#.##.##.#.###..##.##..#.##.##.##.....##..##...##.#...#.#####....##..##...##...#.##..#.####.........#.#####.#..##.##.#..#.##...###........#.#.#####..##.#.###..#.#.##..##...##.##..#.####.#######....................###.....#.##......###...##.#.#.##.####.#.##....##...#.######.##.##....#.##..#.#.....#.###...#.####..#.##..#.##.###.###.#..#.#.....#......#.#.###...##.###....##.###.####.####.#.....##.###.####.#...#.##.#.#.#.#.###.##.....#.#...#.####.####.#.#..#######..#..##.##.#.##.##.##..#.##..##.####.#.........##.....##.##.##.#........#.##.#.#.#.#...######....#.###.##.####..#.###...##..#.###....###.#.#.....##.##.#.###.....##.#.###.....#.........###.##.####.##.##.#.#.#.#.#.###.#########...#.##..#.#######.##.#.##.#.##....###.####...#.###.#
##.##.##..#####.#..##..#####..##..###.###.#.#####..#.#..#..##.#.#..##..##.#####.#.#.#.###..######...#.#.##..#####...###.#####.##...##.##..####...##...#####.......##.##..#####...##.##..##..#.#......###....####.#.##..##..##........#.#.#######.#..##....##.#..##.##..#.#..#...#.###..#.##..#.##.##.###.##.##..#..#.##.##.....#.##.##.##..#.###.##.##.##..##..#.#.#.#.....##..#.##...#.##.#..##.##...#.######.#..##...###....##.####....##..#.##.#..##..#.#.......##.##############.##...#.#.#....###.#.###..#.####.#.##....#.###..##.##.#......#####...##.#.#.#..##.##.#.##.##..######.#.##.###.#.#....#.......#####.#.###.#.###.#..##.#.#...###.###........##.#.####.#####...##.#.####.#.#..#####.#.#...#..#.###.#.############.##.#.##...##.##.##.##########..##.#..##.#####.....#.#.#.##.#.#######.##..#..####.#######.##.......#.#..#.#.#.######.#######.##.###...#.#..##...##.#.........##.##...#.#.....##.###############.##.##.###.####...##..#.#..#.#.#.#.#.##........##..#.#..##.....#.#.#.##.#..###....####.#.#.##.#.#..##.#
#..#...##.#.#...##.###...##..####..#....#.#.##....##.##.##.##.###.####.#..##....#.#.#.....##......#.#.#.###.##....#.........###..####.##.##....#..##.##.....##.##..#.##.##.....###...##.##.##.#.####...##.#.#..#.###..##..#####.#.####.#..#.#.#..#.####.#..#.##..#....####.##.###...#.##....####..##.##...#..#.##.####...#.##.#####..#.###.###....#.#...##.###.#.#.#.#.###.###.#..##.#####.#.##..##.#.#.....##.#.####.###..#.##...##..#.######.##.#.##..##...##.##.##..#####.#.##.#####.#.#.#.##.#...###.##..##....#.#.##.#.##..######..#.##.#####...###.##.######..#.##.#..#..##...........#.#.###.#.#.####.#.#..###..#.#.#.#...#.##.#######.##.#...##.##.#.##.....##......###..#...#.####.##....######.###.##...###....#.#.#..##.##.#..###...........#.#.##..##..###.###....###.#.##.#.#.#######......##.###...##.###........#.##.#####................#.#.#.##...#.###.##.##.###..##.##.##.###..##.######.#.#######.#...##.#.#.#####......#.######.##.######.#.###..##.##.####..##.#.##..###.....#.##.####...##...........######..#.#
#.####.##...#.#..###...#.#..######.#.#.##.####.#.#####..##..####...##..##..#.##.#.#.#.#.#..##.#.#.#.#.#.#....##.#.#.#.#.##.##...##....##.##.#.###.##..###.#.#...#.##.##..#####...#.#.##..#.##.################.....##..#.##.....#..######.#.#...#####...#.######.#.##...##.##.###.#.#..##.#....##.##..#.#.#.##.##..##..#.###....##..##...#...###.##.##.###...#.###.#.###....##.#.#####.##..####.##..####.##..#.###....##..##.###.####.###.#########..#.##..#..###..##.##..............##########.#.####...##..#.#.####.##.#.###......##.####.......###....####.#.##.#.#####.#.####.#.########.#.#...#.#....######...#.##...#.##.####......#.#....##.##...#.#....#.#..####.###.####.###.......##.#...##.....#.##.#..#####.......##...###.###..#.#.###.#........###.##.....##.#...#.####.#.#..####.###.##.##...###.##.....###.#.#######.#.########.#.#.#####.#.#.###.##...#.#...########...######.##.##..##.####...#.##....####.......#.####.#........#.##.#......####..##..##....#.##..#####...#.##.####.....###.##.#.#.#.#######..#.####
#.##...##.#.####.####.##.#.##.##.....#.##.##...#.#.#...####.#....#.##.##..#####.###.#.#.##..#.#.#.###.#.#.#.##..#.#.#.#..#..###.###.#.##..###.##..#..##.###.#.#.#..#..#.##.....#.###.#######............##.#.###.#..#.##.#####.###......###.#.###.#...#.#.#.#.##.#..#.#..#.##.#.######.#..###.##..##.##.###.#...##..##.#...##.#..#.##..#####..##..#.##.#...#.#...###.###.##.##.#........##.##.#####...##.##.##..####.##..##...#####............##...##..##.##...##.##....#.######.######.#..###..#....###.##.##.###.##.##.#...#.##.#..####...##.##...##.#........##.#....##.###..#.#............###.#.#.##....#.##.#####.######.#.####.##...#.##..#..##.#####.#.#.##....#........#..##.##.#.##..##.#####.#########.....####.#.##..#######.##.#.#...#.#.####.#...#######.##..#####....#.#.#.##.#....#.#...#########..#.#..####.............######.###............######.#####.###...###.#......#.######.......##.##.#..####.#..#.#.#......#.#.#.###.##..#.#.#.##....##..##.#..#.##..##.##....######....##.##..##.##.###.#..#.##.##.#.#.##
#..###.##.#....#.#.....#.###.....#.#.###..###.##...###.##...###.##.#...##..##.....#.#.#.##.##.###...#.###.#.###.#.#.#.#.##.##.....#.#####..######.##.##..#..#.#.#.##.########.##.#........##.###.#.#.#.##........##.#..#.#.....##..######.........#.#.#.#......#.#.##.#.####.......##..##..#########.##...#####.##.##..######.##.#..##.....####..########.##.#.#.##....#.##.##.#.########........###.###..#..#.##.#..###..##.##.##..#.#.#.#.######.##..#######.###..###.######..#....#.#.#.##.##.#.#.##....#.##...#..######.#.#..#.#.##....#.####..###..#.#.##.#.##.##.###....##.#.######.#######...#######.#....####..#....##.....##..##.#.#.##.###..#..##.#.#.####.######.#.#######..####.###.##.##..........#.#.########.#....####.##...#.#.###.#.#....###.#...##.....##.....#.#.##.#.#......##.###.#..####...##.####....##.##.#.#######....#...##.#########...##.....#.#.....###.###.#.####.#.#.#..##.##.##......##......#######.##.####.###############.###.#..##..####.#######...##.#......#.#.##..#..###.#....#.##..............#
#.##...##.#.#.##.##.#.####...#.#.###...##.#.#####.##....##.##....#####..##..##.#.####.####.##...#.#.####..#.#.#.#.#.#.#.##..###.###.....##......###..###...##.#.#..#....##.....###.#.#.##.##...#########..###.#.###.#.#####.##.###....##..#.#.#.##########.#.#.###..#.#....###.#.####.####...##......#######.#########.###.....####..##.##....##...##...#..#.###..##.######..###.......##.#.##.###.....##.##.####.##.#.#.##..##..##.#.#.########.##########.##.#.##.##.........#####...........#.#.#####.###.##.#...###...###.#.##.#..######....##...####.###..#..#.#...###.#.#.........#....#..#.#......##.#.#####.##.###.#####.#####..#.#.###....#####....#.#....#.....##.#.....#.####.#...####...##.#.##.####.#........#.#.##.........###.#...###.#.##...###.#####.######.#.####..#.#.#.#.#########.##......#.#.....##.####..#.#.........#.#######..####.###.#..#.#.#...#.#.#......##.#..........#.###..####.#.##....##.###.#..##..#...##.....###.#####....##.#.##..###....#.##.#####..##.###########.##.#.#.##.#####..#.#.#.#.##.#.#
#..##.#####.###..#..#..##..#.###.##..####....#.##.#..#.###..##.#..##...##..#####.##......#..##.####..##..##.#...###.#.###..##.....##.#.##..######...##.###.#..###.##.#.##..#.#..##.#.#..######.##.#.#..##.##..###...#.#.#...##...#.##..##.###.#.......##.#.########.#.##.#####.#....#...##.#######.#.............##.#....###.#....#.##...#.##..#.####.#...##.#...##.....#.#.###..#.######.#.##...###.######...#.#.#....#..##....#####.#...###..#.######.##........#..##.#.######.########.###.####....##.##...#.###.....#..##.#..#.##..##....####..######..###.##.#.##.##.#####.##.###.###.#...#####.#.#.##.#...........##....####.#.##.###...##.#.....#.#.##.##.#.#.##.##..#.#####.###....#....#.#.#..###....#..##.#######.#####.#.##.###.#####...#.###..#####...##...###...#...##.##.###.#.##...##.###..#.#.#####.#.##...##..####.#.##.######.#...##........###########.##.#.#.#.##..###.###.#.##.#.##..##....#..##.#.##.......###.##.#####.####.....#.#.#.##..#####...##.#.........######...#.##.#.##.##...#.#....##..##.#.#.#..###.#
#.##..##....#########.##..##.#....##.#....##...##.#.#####..##..#.#####..##..#.##..###.#####.#.....######.##.##.###..####..####.#####.#####......##.##......##.##...###..##.#.#.#####.##.....##........##...##..##.#.#...##.####.##.##.######..#########..........##.###......#.#.#.###.##......##..#.#.#.##.##.#.#....##..##.######.##.#.#.##.##....####.###.#.#.##.#.#...#...##.#...###..#..#.####....#.##.###.....#.#######.####.##.#.#.#.#.##.#.##....##.##.#####.##.#..............##...#...##.#.##..###.##.##..##.##.#####.#####.######...#######..##..##.##.#.##.......##.##..##.##..#.###.#...#########.#.#.#.##########.##...##..##.#..###.#.#.#.####.#..###..#####.#.......#.#.##.##.#####.##.##..##...###......##....##.###.........##.#.#..###.....#.#.##.#...#.#.#.####..#.#...#....#....####.#.#....##.#..#.#..##....#.#..#..........########.##..#.###..#.###..#####.##.##...#####..#####..####.#.#.##..#..##.#.##...###.....##......#.###.###..##..##...#..#.#.#.#######......#....#....########.##.#..##..###.#.##...#.#
#..##..####....##.##..##.##..#.#.###.#.#.##..###..#...##..####.#..##...####.#....##......#####.##......###..##.##..###.##.##...###....##...#.#.###.#####.#..#.##.#...####..###.##.#..#####.##..#.##.#..#.###..##..#.##.##..##.#.##..#..##....########...#.#.#.#####..##.###.##.###...#.####.######.###.#.##.#######.#..#####......#.##.#.#..####.##..#.#...###.#..#####.#.###.##.#.#...####.##....##.#....#.###.###.#.#.##.....##.....###.............##.#..##.....#..#.#.#.#.##.#.#.#####.##.###..#.###...#..#.#..##..##.....#..##...##.....#.........######..####.##.##.#.##..###.#..###.#..##.###......##...###.#####.###.##..#.#####..###.##...#.###.##.####...##..#..#.#######...#.##..#.....####..##..##.##.######..##.###...##.#.#############...#.#.#.#####..##.##.#.#..#.##.#####.##.######...##.###.#####.#.####.########.#.##.##.####.####....#..##.....##.#...##....##..#..###.....##....######.###.#..#.###..###.####...###.###..##.#.#......##.##..###.#.##.#.###......####.#.##.##...#.###.....#.##.##.###...###..##.##.#
#.##..##....#.##...#.#######.#.#.##..#.#..##.####.#.#.##.####..#.####.##.#########..##.#....##.####.#.##...##...##.##.....##.#...##.#####.##.#...#..#######.####.##.##....##......##.....#####.#.#####.#.####.##.##..####.##.....##.#.####.#........##.##.#.#.....#.###.##...#.###.#####......#.##..##.#..#...##....#.##.....###.####..#.##..#.#..##.#.###..#####.##....#..##..###.##.##.##.##.#.##..#.##.###.###...#....####.######.##...#.#.#.###.#.####.####.#.###.#.#.#.#..#####.....####...##.###...#.####.#.####..#.##.###..#.#.###.##.#.#.#.#.#..#.######....##..#######...#.##.#.####......#.#.####..#...#............##....#..##...######.#..##......##.#####...##.##....##.##.##.##.#.#..##..##..##........#######...##.#####......##.....#####.###..#.###.#..##.#.##....###..##.##.....##.#.##...#...#.#.#..###........#.#.##.#.....#......#.##.####.#.##....#.#..#.##..##.##...######.#.##.###..##..#.####...####...####.########..#.#.#.##.######..##...#..###..##.####....#.#..####.###..#..#.#.###...###...#..##.###.####
####.##..##.#..#.#...#.#.....#.#..##.###.##.....#.#.#.#...##..####....##.#....###..#####.#.##....#######.#..##.##...##.#.##..#.#.#..##.#######.#.####...#.#..##..##..#.#.###.#.#.####.#.###.#..#....##.#.#.#..##..##..#.######.#..###.#.#####.####.###..#####.########...##.##...#....##.#.##....#.###.##.##.##..##.#.####.#..####.#####.#..##.#.##.....###...##...###.##.####...#.##.....###..#..##.#.##.......##.##.######....##....###.###.#.###.#...####.#..#...#.#.###.#.######.#.####.#.###...##.###....#.#...##.##..#.#.#.####.#...##.#.#.#.#.##.....#.########.###...##.#####....###..#.####.#....#.###.##.#.#.#.#.##....##...##..#..#.##..#.###.######..##....#.##....##..#.#..##..#.#.#.####..##..##.###.#.......#.###...##...#.####..#.#..#.##...##.....####.##.#.##.##...##.....##.#####.#..##.##.#...###.##...#.##.###.#.##.##.########.#######.######..#########.##.#####..#......######.#.##.###.#....##.###.##.##.####..#...####.#.#..#.#.#.##.##..#.##..###.##....##.##########....##...####.##..#..##.#.##..#.#.....##
#.....#######.######...#####.#.##..###...##.#.#.#.#.#.#.#.###...####.##..###.##...##..##.#.##.##...##....####...##.##..#.##.##.####.........####.##...#.....####..##.###.#.#.#.#.#.#..#.#...##.#.##..#.###.#.####..##....##....##..##....###.....###.####.....##...#.#.#..#..##.###.######.###.###.##..##.#...##..#.#..##..##...##....##.##....###..#.###.#.###..###....#....##.##.##.##.#####.##..#.#.#..##########.....#.##.#..##.#.#...##..#...#.#.###.##.##.#.#######...#....#.###......#...#####..##..##.###.###..##.##...#..######.###.#.#####..##.##....##..........#.#..#.###.#.##...##...####.##.#.#....#.#.#.#########.###.###.###....#######.....####..####.#####.#####.#.##.##.##.###.##...###.###.#####.#.##########.###.#.#####..#####....######.###...##.##.####.##.#.#..###.####...#######..#.#.#..##.##.#.##########.##.#.......#####.##.##....###.####.########.#.#######.######.#.#.......##.#.####......##.##.#.##.##.#####..#.##.#......#..##.#..##..##..###.###..######....##..##.#####..####.#####.##.####.#.#..#
##.#.####.##.....###.###.....#.##.#####.##..#.#.#.###.#.#.#...#....#####.##.....#....##..#.##.##.#####.#....##.#######.#.##.##.##...##.#.##...##..#####.#.#...###..#...#.#...#.#.#...##...######..#######....#.##.##..#.####.#.###..##.###.##.##......#####.#....#...#.#.###..#..##.....##..##..##.##.###.###.##.####.##..###.###..##..#..##.########.....#..###.#...#.#######...#.##.##..#..#.##.#######....##.#.#..#.#....#.#.###.#####.#####.#.#.#.....##.##.#...##.####.##.#.....##.##.######...#.###.###...#.#...##...##.###...##.....#.#.###...###..##.#..###.##.##.#####.....#.#.####.##.#...##.########.######.......###...#...####..##.......#.#.###.#####.......##.....#.#.##..######....###.##....#.....#.#.........##.##..#.......##.#.##.#......#..##.#..#.##....#.##.###.###..#.##.####.##...##.#.#.######.#..#.......#.##.#.##.##....#......##.###.........#.....#.....##......##.#.#...###.######....##.#.###.............###.#.#######.#.##.#.###.#.######..##.....##..#.#.####.########.#.##....#..##....#..##..#.#.##
####.##......#.#.#...###.##.##.#####.##..##.#####.##..#######.##.####.#.....#.#.#.########.##..#..#.####.##.##....##...#.#...#..###..#.#..##.######.##..#.##.##.##.#.#######.#.#####..###.#.#.###.....#.##.#....###..##.####.###...##...##.....#.#.##....##.#.#.##.#.#####.#.#####..#.###..##..##..##.#.#..##.##....#####.#.#.....####.#####...#.#.###.#.##.##...#.#.#..##.##..#.#.##.##.##.####..#.##....##......##.#.#.####.#.##..#..##.....#####.##.##.....#.#.#.....##..#..#############......#.###.#...##.##.##.##..#.######.#####.#.######...#.#.#####.##..##..#.##...##..#.#.#.###.....#.######......##.......##.##.#...#.########.#####.#.#.#####........###.#.####..##.####..#.####.##.#.##....#.##.#.#######.#.#####..#..##.#.#.##.##..#.##.#.####.#.######.#.##.#.##.##..##.#.##.......##...###..#####......#.##...####.##.##.#.####..##...##.#.##...##.########.#####.#########.#..#.#.#.###.#####..######..#..###.#####.#.#.##.#.####..#####.####...###...##...##..#.#.###.....###....#####....####.###..##.####.###.#.#..#
#....####.##.#.#.#.#...####..###.#.#.#..##..##.######.##.#.....#.##.....##.##.#.#.....##...##.###.....##..#.####.##..#.#.#.#.##.#...####.##..#.#.....#.####.....##.#....##...#.#..#..####.#....##.##.##.#..##.#..##.##...##..##..#..###.##.##.##.######.#####.#.##.####.##.###.....##...##.##.####..#...#.###.##.#.###....#...#.#....####....###.#..##.######..###.#.##....##.####.####...#.#####....##.#.####.##.####.#...####..#####....#.#....####..##.#.#.###.##.####..###..#####..##.#..##.#.#..##.#########.##..##.#....##.....####.#.#.####.#.....#.#.###..##.###..#..##.#####...###.#.#......#.##.#..#####.#.#...###.#.#.....###......#####....##.#.######...#....##..#..##..##......##.#..###.##.##.#....#..###.....##.##.##.#.####..##.#..#.########...##.###..#.#..#.#..###.#....#.########.#.#####.#..######.##.#....####.#..#....##.##.#.#######.###...............#.#####.....##............##.#.#####.#####..##.....#.#.#.......#.##.....#..###############.####.###...####.##.##.#...##..##....#..###.##....#...#.#.#.##
####..##..#..#.#.#.##.##....##.........####.....##.#.....#.#.#.###########.#..###.#.#.##.#..###.#.######.##....#..##.#.#.###.##.##.##.####..##...#.#......##.##..#.##.#.####.####...##......##..#..#.#....##..#.##...#.###..####.#.###..##.##.##.##.##..##.##.#.##..#.......#####.##..#.##.##..#.#.##.#.#.#...##.#.#.##.#.###.######....#.##.......##.....####.##..#..#.#.###..#####....#....#.#######..#..###..#..##..##.##.#####...####.#.#.##....#.##..#.#..####.....#######.......###.#.########........#.#.###..##..##.#..##.##.#.........##..#.###...###.##.#..##..##.##....#####.#...#.###.#.####..##..#########.###..###.#####...#.#.######.##..#.#..###.#.#.#.##..##.#.##..##..###.###.####....#..####.#...###..#.#..#.####..#....##......##......###.#.....##.##.#.#####...######.#..###.#...........##......#.####.#####.######.##.####..#..##.##......##.###.########.....#####.#..##.##.#######.............#.###.###########.#.#...##.######...........###.....##...##.#####.....#####..##.####.###...#.#..####.#.###.####
###..##..###.#.###.##.##.##..##.##.#.####...###....#.#.#.#.#.####.#........##.##..#.#.#####.#...#......#.#####.##.##.#.#.##..##.#......##..####.#####.#.####..#.#######..##..##.##.###.#.##..##.####.##.#..##.#..##.##...##.##...#.#...##...#.#.....##.##.....#..##...#.###..#.######.####.##.##.#..#.###.#.######...####.##......##.####.###.##.#..#.#.###.....##.#.##.#.#.##.....###.#####.........#####.#...##.####.##.....###..#......#.#..##########.####....##.##.###.##..###.#........#.#.######.###.......##.##.###.##########.###.#.#.##.##...#.#####.#####.##.###..##.###.###.##.##..##.#....#.####.......##....##..##...###.###.#.##.#.#..#.##.##.....#.#.#..##.##.####.##..##.....#..#.##.####...##.#.#...#######.#....##.#.#.##..############...###.##.##..####.##....####.#...#.##.....#.##.##.######.##.#..##.........##....##....##.##.......#.#.###.##.....#...###.#.##....##.##..#...###...#####.#########....###.#.#..#.#.#.####....#.##.######.#...#.#.###..###......##.##.....##.......#...###.#.##....#.#..##....#
#...###.######..##.#..##.#..##..#..#....###..##.#.##.#.#.#####....#####.#.###.#..##.###..##.#.#...######.....#.##.##.###..##..###.#.##..#.##....#.#...###....##...##....####.#.....#...#.#..##...#####..#.###.#.##...#.#..#.#..#.#.#.#####.##.##.#.########.#.##.##.######..##....##.....#.##....#.##...#.#.##..##.###....#..##.#.##..#####.#..#.####.#...##.#.##..#..###...########.....###.####.##...#.#.#.#.##..##..##.#.#...##.##.###.#.#.#####..#.##....##.#.#...#......##.##..#.#.#.##......#.###...#.#.#.###...#.#...........######.#####..#..#.#..........##.##...#.##........#.#...#.##..#.####.##...#.#.#.###.########.#.......#.#......#.##..#.##.#####.#.##.##.##..#.#####..###.######.....#.######.#.#.#......#######.##.#.#####.######.....#.#######..###...##.###.#......###.#....###########.....##..###.##..#.#################..#.#..#.#.#.#.####...#.###...#...###..####..#.##.####.....#######......#.#####.........##.#.#..#.#.####..#.#.#######.##.#...##.##..##.####..###.###..#.#.###.#...#.#.#..#.#####.##.####
#.#.##...##.#..#####.##..#.######.##.##..##.###.#..#.###.######.#.......####..#.##...#..#####.#.#......###.#.#..########.##..##...#.#..##.###.#.#...#.#...#.##..######.##..#.##.##.#.#.###.##..#...###.##...######.#####.##.##.#.#.#.###...##..#.#...###.##.#.##.##...##.##....#.###.#.###.#..#.##.##.###.#....###.####.#.#.##..#.###....##...##....#.##.##..#####.##..####..###.#####.#.#.....##..#.#...#.###..#.####..#.###.###..##.##..#.###.....##.###.######.##.####.##..#####.#.#.#.##.#.##.#...#.#############.####.#.#.##.#..##....########.##.#####.##.###...##.#####.#.###.##.###.###..##....###..#.#####.#....#...#.#.#.#.##.##.##.#############......#.#..#.##..##....##...##........#.###......#.###.###.#.#.##.#.#####..#.....#......#.###.#.......##..###.##..#...###.#.##...#.##......##...########.##....##.#...#..#.##......###.#.##.#.#####....##.##..##.####.####.##....####.....###.####....###.##......##.###.#.######.##.......##.####.....#.###..##.##...##.##....#.##....###.#.#.###########.##.#.....####.####
#.#.###.##....##.#....##.#.#...#..#...#.###.##..##.#..####.#....######.##....##..#.#...##.#####.##.###...###.##...#.#.....##..##.##.##.##...###.#.###.##.##..##.....##..##...##.##.#.#.##...####.#...#.#..#..##.....##....#.##.#.#.#.#.###..#.##.#.#.....##.####..###.....####.#...#.#...#.##.#..####...#.#.##.##.....#.###..##.#...#.#.###.#####.#.#.##..##....##..##....##.......##..###.#.#.##.##.##.##..##.##...###.#.###...##.######.#.....#.#....#.#####.####.....#..##...##..###.#.##.######.######.#...#..######...###.#####..##.#...#.#.#..##...######...#.###......#.#...###..#...####.###.#..###.#.....###.##...#...###.#.##.##.##..######.###...##.#####.##.#..##..#####.#.#..#.###.####...##.#.....#########..........####.###.##.#####...#####.#.#####..##########...#.#.##.###.##.#.##....#........#..##.#..###.#...##..#.####..####..#.#....##.#.#########..###...#.#####.#..##..#.#.##.......##...#######.#.##...###.....#####.##.#.##.......###....######..#.#.#..#..#######.#.##...#.#........#.#####.#.######.#....#
###..##..##.#....###.##..#.#.#...###.##...#.###.#####...##...##.#......##.#.####.####.###.#.....##...#.#...#..#.#.#...#.#.##.##...###..##.####..#.#####...##.###.#.##..#####.##..###.#.####....#.#.###.##.#.#####.#..##.#.#.##.###.#.....##.#.##.#.#.########....###..#.###....#.#####.#.#.##.##.##...#.###..#..#.##.##.##..#####.#.#.#.##.....######..##.##.#.##..##..#.##..#.#.#####..####.###...#..#.##.##...##.##...###...###..#.#....#.#.#.#.#.##...........###.#####.##.#####.#####.##.##.###.#.###....###.##..#.###.#.......#.##..#.#.....##..#.#......##.##..###.#######.#...######...##...#.##...###.##.####..##.##.#...#####...#..##....#.#...###..#..####..####..##.....#.#.#.##...#..##..#..#.###.#..#.....##.#.#.######.##...#.##.##....#...#####...#.##...#.###....#.###.##.#...####..#.##.####.##.########.##...#.#....##....#.##.##.##.#.#.#####.........##...###....#.##.#.##..##.###..#.###.#######.######.##.###...#.#..###...#.####.############...##.#.##########.....##..#..##.##.##.#.###.....##..#####.#..######
#...####..#.##.#.#...###.######.###..##.#####.....#.#.#..##.##..##.########.##.###..#..#..#.###.##.###.#####.##.#####.###.##.#..#..###.##....#.####.#...#..#..####.###...##..##.##...#..##..##.#.#...###..#.##....##..###.####.##..#.#.#..###.##.#.#...##.###.##...##.#...####.#...##..#.#..###...##.######.##.##..#..#..##.....###.###.##.#.#.....##.##...#.#.###.##.##..##.#.#....###..##....##.##.#########.######.#.##..#.######...#.##.#.#.#.###..#.#.#.###..######.###...##.#.....#.#.............##.###...###....######.#########.#.##.#.####.#.##.###..####.##.....###...###...##...#.#..#.#.##.###...####..#.##..##.#.#.....##.###..#.##.....###.#.###..#.#####.#.###.#.##########.####..##.##.#...####...#.#..#.#.#...##.#..##.##.##....######....##.###.##.#...#.####.#...#.#..#.#...##.#####..#.###........##..#.#.#.#.#.###.####.....########.....##.##.##.##..#...##.#...####.###..#...##.#...#............###..##############.##.##................##.###........#.##...###..#.###.##.##..#.#.####.######.........###...#
#.#..##..##.#..####.##...##.....#.##.##..#.####.###...#.##...##..#######.##..#.####...##.####...##..##.....#.#..##.#....###..####.##...##.#.##.#.#....#.##.##..##...##.#.###.##.####.#.####.##.#.#.#...##.#..##.#..##.######....##.#.#.##..##.##.#.#.#......#####.##..#.#.##...#.#..##.####.####.##...##....##..#.###.#.####.#.###....#.#..#.#.#.#.##.##.#.#.#..##..#.##.##..#.####.#.##..##.###..#....##.......#.#.#.#..##.#...##...###.##.###.#..##.##.###...##..###.....###....##.#.#####.#.##.#.###........###...####.#...........##.#.#..####...#.#....##....#..##.##...###...######.#.#.##.#.###...####......######.##.#.#.#.#.##.#.####.##.######......##.....##......###..##...........#.##...#.#.#....##.#####.#.#.#.#......###..#.#..######.##########.#.####.#......###.##########.###....##..##.######.#.#.##.##.#.#.#.#........#.###..#..##...#.#######.########.######.###.####...##.#.##.#.#.#.#.#.##.#####.######.#.##.#.#.#.######.##.##.#####.#..#...#.#.#.##...##.#...##.#.#.#.##..#.##.#....####.####.##.#.###.#.###
####.###..#.##.#.....#.#..#####.#.....##.....##...###.#.##.####.##..........##......#.....##..###..##..##.####.##....##...##.##....#.####.######...#.##.##.#..##..#.##.#.#...##..###.###.#...###.#.#.####.#.#####.##.......#.##.##.#.#.#..##..##.#.#.##.#.#..##....##.#.###..#.#.##.##.###.....#.#..####.##..##.#..######..#.#.##..#.##.#.####.########..#.###.####.#.#..###.#....###....##...###.##.#..####.##.#.#.######..#.##########..#.##..#.###.#...########.....#.#.##..#####.#.#.#.#.####.#...####.#####.##.##....###.#####.#.##.####....########.#.###.######..##.###...#......#.#.###..#..######.#..#.####....#.##.#.#.#####.......#.#.......#####.###.#.#######.##########.#.##.#.#.#####.####.##.#.####.#######.###.##.#...#.#####......#.#.##.#####......####.#.#.#.....##.........##.#..####..#.#.##.#.#######.#.#.###.###.#########...##..#.#.......#.......##....##......#.##.#..#.#.#..#.#.###.#.##..##.#..#.#.....#....#.#......####..#....##.#.##.#.#.###..#.#..#.##.#######.###..##.##.#.##.##....#.##########.....#
#.....##.##.#######.#####.###...###.####.######.#...#.#..###....#..####.#.#..##.#.#.##.######...##..##..####....##.####.###..#..#.##.#.....#########.##..#.##.###.#.##.#.##.####...#.##....#..##########..#.#.#...##.#.##.########.#####.####.##.#.#.##.#.#.#####.###.#..#######..#.##...##.#.#####....####.##..#.##....##...#.##.##.##.#...##......##..##...#...##.####...####.#####.#.##..#..##.#..##....####......#.###.##..##........#####.##...#.#.#..##.#..#.#.###.#..##...#.#####........#.#.#....#.............#.##.......#.###.....##.#...###....#...###..#...##...###.###.#.#####.##..###..#...#.##.#......#######.###.....######.#####.######.#####.###.###..##........##..#..#.#.#....##..##...#.#..###..#.#..#..##..###.#####.....####......#..##...##.#...######.#.#.#.##.##.#.########...###......###..##.#.###.###....##....##...##.##..##.###.##.##########..#.##..##.###.##.##.#.#.##.#.#.#########......##.#.###...##.....####..#.####.#.#####.####.#.##..####.##.##.....###.####..#..###.##....##....#.##.#..#.#####
###.#.#..##.#.#.#.......###.###..##.##........#####.###.#######.####....#.#.#####.#.##.####...#.##.####....##.#.#...##....#####.#.####.###..##........#.####....#.#.#..###....##.#########.##....#####.##.#...##.#####..#.##..........##...##..#.#.#.######.#.......#.#.##...##..##..##.###.#..##...#.##.....####....#.####.##.####..##.#.#.#..#.#.######..#######...##..#...##.....###.##.##.######..#.##.##.##.###.....#.##.#########.##.#.####.#.#.#.##......##.#...###.##..#...##.###.#.#.###.#.##.#.#.##.#.##.##.#####.#.#.#.#..##.#.#.##.#.#...####.#.#...##...#..#.#..##...###.....#####...##...###....#.###.##.#.#.######.##.....####.#....####..........###.#.##..#.#.#########.#.#.#.######.##.#.#.##.....##...###.#..##.......#####....##.##.##.##..#..###.#......#.#.#.#.#..##.#.###.##.#.#.....#.##..######.....#...##.#.##.##..#.###...##.##..##..#.#.####...##.#####..####...######.#.#..#.#.......#.##.#####.....###.####.##...###....###.#.....#..#####.###....#..#.#..#####.....##.###.#####..##..##.#........##.#.#.#
#...#.#.#####.....#.#.###.......##..##.#.##.#.....#..##.#.......##...##.#.#...##..#.##....##.##.#....##.####..#.##.####.#.####..#..##..##..#####.##.#.#....##.########..###.###...#.##......##.###.#....#.##.##...#.##.######.##.#.####..####.####.#....###.#.##.#.####..#.###..##..##..#.###.####.#######.#..##..#.##.#....#.....##.##.#.#.#.####..#.####.......##.######.####.###.#####..##...##...##.##.##....##..#.###..#..##...............#.###.#####.#.####.##.######..##.#.....##.#.#..##.#..#####..#.#.########....#.#.#.#.#######.##.####.##.#..#.###.###.##.#####.##.#..##.###..##.#.###..#...##.#.#.#...............###..#.#...#..#.#.##....###.#.#####..#.##.#######.##..##.#.#.#.....##.#..#.###..#.#....###.###.#######.#..##...##.##..#.......###...###.########.#.#.##.#..#........#.##.#.##.###..##.#..#.####.##..#.##..##.....##.###.#..########......###..###.#.####..#############.####.##.#.#..........#.#..##....#..#.#...#.####.####.#####....##.#...#######.##....##.###.##..##....###..##..###.######........#
#######..#.###.##.#.#...##.####..##.##.#..#.##.##.#.###.####.##.##.#.##.#########.#.##.##.##..####.#.##....##.###..#..#####....##.########..##...##.###.#.##........###..######.#.#....#.##.##.......#.####...##.##.......##..##.#..##..##.....##..#.##...#####..#..####....###.###..##.....#..#.#.#...##..#.##..#######.#.##.#.#..#.##.#.#.#....##.#......#.#.#.##..#.#......####....##..###.#####.###..#..###.###.##...##.##.#######.###.#.##.#...###.....#....#.#...#.####.##.##.#######.#.##..##.##.###.#.#.....##.####.###.#.#.....#####....##.#....##.#####...##.##.....####.##...##..#.###...##.###..#######.#.###.###.#...##.#.###...####....########.#.#.##....###.#.##.....##..#.#.#.#.###..##.#..###.#.##.#......####.#.###########.#...##.#.#.##.##...#...#.......##.#.###..#.###.#.#.###.##.####...##......##...##.###.#.#..#####.#..###...#.##..##.#..#.##...##...#.####.##..#..##....##...##...#.######.####.####.####.#.#.#####.##........##..#.############......##..##.#......#.##.###.####...####..##......###.##.#.#
#.......##.....#..#.#.####.##...###.#..#.##.##..#.#.##..#....#..#..#.##.##.#.##.#.#.##..###..###...###..##..######...##.....#.##...#.###.#.##..###...##.#.#..##.#.###...##.#..#######.##.##..##.##.#.#....##.##..###.#.##..##..#.#.####..#.#.#..##.#.##.#..#..##.####..##.###.###.####..#.#.#.##.#.#.###..##..##......##.#.####.##.#.##.#.#.###.###.#.#.#.##.#.#..#.##.#.###.####..#.####.##.....##.#.#######...#.###..#..#..###.##.....######..#.#..#####.###.#####.#......###...#.....##..#####.#.......###.#.#.#.....##....#.#.#.###...##..#####.##.#.#....###.#.##.###.##....#..##.###.##.....#..###...###.##...#..##...#.######.#...#.#....#.##....#.#####.#....##........#.######.####.###...##..####..##.#.##.##.#####.##...#..#.#....#.###.##.#.########.######.##.##.##.#...##.#.##..#.#...###.....#.####.#.#.####.##...####.##.##..#.#.########..##....#.##############.##.#..#.##.##..##..##.##..#.#..##.......#....#....#.#.#....##..#.#.########.....###..##.##.##.#..####..##.##.##..#.#......#.#.#..##.##.#.#.######..#.#
###.#.#.##.######.#####....#..#...#.#.##.##.##.####.###.#.##.#.##.####..........###..##...#.###..#..###..##..##....########.#.####.#........##.#...#..#.#.#.##..#..####....#.###..##..#####.###.#..#.#.#.###.###..####.###.#..####...##.#######.#..#..#.##...##.......###............##.###.###.......#####..##..#.#.##..###....##.#..#.#.#.##....#.#.#.#.####.#.##.#..#.##...#.####..##..##.#.#.##.....#.#####.....##.##.##.#......##.##.#.##.####.##.##...##...##..#.####...##.##.#.########....##.#.##...#.#.#.##.#.####.#.#.###.#.##.####.....#.#..#.#.##...#.#.####.#.#..#.##.##....#..#.##.###...###.##...###.#.###.########.#.##.#####.#.#..##.#......#....#.########.#........#.#.#####..#####.###..##..#.########.##....###.##...#.##..##.##.#........#...#.####..#####.#.#.#..#####.###.###...#.#.####.###.#.##....#.#...##.#...#.######..##.###....####.#.#..###.#####..#.#.##.##....######...##.#.#.####.#.#.##.##.###.##.#.#.#####.####...##...##.####.#.##...#..#.##..#.##..#..#.##.##.###.#.####...##...#.#.#......####.#
#...###..#.#.........####.###.##.####..#..#.##....#.#.###..#.#.#..##...###.#.#.##...###.###.#.#.###..######.####.#....##....#...####.#.#.##.##.##.###.#####..##.#.##....##.......####...##....####.###.####....##.#......#.##.#.##.########.....#.##.#####.###..#.##.###..#.##.##.####....######.##.###.########.#.#..##...##.#..###.##.#.#..##.###.#.#.#..##..#..#.##...#..#......#.####.##.#.###..###......###.#.##...#.##.####.###........#.#.####...##.##..#####.#....#####..##.#........##.######..#.###.#.#..#.###.##.#.#.#......#...##.#.######.#.#..##.####......####.#..#.##.#.########...##.##......#.##..#...#.#.###....####.#.#.#.####..#.#.#.##...#.##......########.#####....##...####.###.##.##.##.....##.#.##.####.#..##.######.#...#.#.########.#....####.#.#.###.#.##.##......#...#.#.#.#........###..####.###.#.##.###.....#.#..###.#.#.##..........##.#.#...##.#.#.##.##.#####...##.##..#.#....###.################.#.....###.##.#....###....##......#.#.######....#.#######...#..##.#.#....#####.##.#.##.#.###.####
#.#.##..##.##.#.##.###....#...##.#....###.#####.#.###.#...####.#####.#.##..###.###.##.#...###...##..##....###.####.#.###.##.###.#....###.##..#.##.##....####.#..#.##.##.###.#.#.###.#.#.##.##.##.....#....##.#.#####.#.###.#.....#......##..##.####...##.....#.##.#..#.####..##########.####...#.##..##.#......#.#.#.##..###..#.##...##.###.##....#####.##.##.##.##.#..#.##.#.##.#####..#..#.#...##...##.#.#..##.#####.##..########...#.#.#.##.#.#.####.##..##.##..###.##.....#.##..#.##.###..#.##.....##########.##..#...###.#.##.##.##.###..####..##.#.##..#....###.#.###.####.###..#........#.#..#####.#.#.###..##.#.#.......#####.......#...##.####.#..###.#####.###...##...#...########..#.##.#.##......#.##.#.#.........#......##..#.#.####.#.#.#....#####.##.#.#..###....####.#..###.#.####.##.#.#.##.#.#.#...######...##.######...##.##...##.#...######.#.#.#.##..#.#.###..............#.#.######..##.#.#.##...............#.##.#.##.###...####.######.#....#.#.####...##...#.##.......#.#.#.##..####.#...#.###..####.####.....#
#.####.#####..#.#...##.##.##.##..####..##....######.....###.#..##....#.###...#..##.#....#..##.#..##....######.#..###.##..#....######.##..#..##.#...##.#...##.##.#..###...##.###.##....###...#..##.#.###.#.##.#.#.#.###...#.#.##.###.#.#..#.###...##.#..##.####.#..##.#....#.##...#...##.#..###....##..#.#.##########..##..##.##.##.#.##...#..##.#.##..###..##.##..#.##.#.##.####.##.###.#.##.##.##..###..#.#.##.....##.##.##........#.###.######.#..##...##.##....##....##.#.######.####.####.#.##.#.#..........#####...#...#####..##..#...##.##.#.##..#..##.#.#.##...#......#.#...#.##.####.#.###.##.....#.#...##.##.#.##.####.....#.##.#.##.###..##...##..##....##...###....#.#####.##...##.#.......###.##.#.##.#.##.##.###...#.######........###.###.####...########.###..##...##.##..##.#....#..#.#.#.########.#......#.#.##....#####..#....#......#.###.############.#.#.....###.#.#.##.#........##..###.###..###.####.########.####..#...##.####.......#.#.#.####.#.##.#..###.#..#.###.#############....#.#....###.##........#####
#.##....#.#..##.##.#####..##.###.#....###.##.#.#.####.#..##...######.#.#...#.#.###.##.#.#.##..##.#..##..........##....#.###.###......##.##.#####.####.###..#.####.##...#..###....##.#...##.##.##..#.##..########.......###.#.##.##..#.##.#.#...#..#.##.##..#####.##....#.##..###...###....#####.#..##...#...#...##...##..######.##.#.###.###..#.#....#####.##.#..##..###.#..##..........#.##.#...##...####.#.#..#.#.##..#..###.#.#.##...####.##....##..###...##.#####.###..#....#.#....#....###.##.#.##.#.####.#######.###.###..##.#..##.####.......#.##.##..#######.###.#.#...##.####.....##########.#.#.#.##.###.##.#.##....#.#####.##.#########..##.###.####.#.##.####..##.#..###.....#.##.##.######...##.###..#.#..##..##.#######.#..#.#.########........#####.#....#.##.#########..###.#.#.##.##.###........#.##.##.##.###..#.##.###.##.##.##.##.####.....#.#...##...#...###########.####.##.##.##..###...##.##.#....#......###...#####.###.....###########.#....#....#.##.######.#...#..#.#.#...###..##.#.#.####.#..###.##.#.....#
#.#..#.##...##..##....##.##...##.#.##.##..##......##..#.##..#..##....#.###.#####.###..#.#..##..#.##..##.#.#.##.#####.####.....##.#.#.#...#.##....##....#######.....###.##...##.#######.##..####..##..##.######...###.#...##########.####.#.#.#.######...##...##...###.##..##.....#...##.#..#..###.##..#...#...###..#..##...##...##.#..##...#.##.#.#.###.....###.###.##...##..##.#.##.#.##..#.#.#.#..####...#.##.###.##.###.##..#.#.#..#.........####..#####.##......#..##.###.###...####.##...#.##.#..#.#..######.##....##.....###.##..#....##.###.##.#...##......##...#.#.##.#########.##.##.#.....#####.#..#...#.##.###..#.##....##.##..#.##...##.##...#...##.####....##.##.##.....##.####..#.......###.##..##.####.###.##............######..#.#####.#.##.........####.#......##..##...#.#.####..#.#####.##.#.#.##..####.##..##.##.#.#.#...#.##.##...##.#####...###..###.######.....##...##..########...##.##..##...#.##.######...#....#######.####........##.####.#.#.####.....#.###.####.......#...#.##..###..##....###..##.#######
####.#.###.##..##..#.#######.#####..#####.##.######..##..##.##.###.#.#.##..##.##..#####.####..##.#..##..#.#.####.#....##..#.####.#.####.######.#.#..#.##.#..######.##..##.#..#..##......##....#.##..##....##.##.##...#.#######.##.#....###.###.....###.##..########....#.####.#.##.###..##...##....##.#.#.###..#####.####.##..#..#.##.###.#####.#.#...###.#.#.....#.##.#.###.##.####.###..##.#.#.##....###.###....#.##...#.#########.##.###.#.#....##.##.#######.##.##..###.#..##.#....#####.##.#..#.##.##...##....########.#.###..##.##.####....#..####.##..##.####.########...##.#.#####......#.####.##.#.###########...##.##.#.##...##....#.######..#.#.###.....##.######..#####.#####.###.##.######...##.##....##.##..####.##.#.#.#....####......##.#..#.##.##.#.##.#...######..####.##.#....##.#...###.####.#..##..#.#####.##......#.#.#.####.#..#..#.#.....#.....###..##.....###..#.#..##....###.#.#.##.##.####.####..####.#.#####.##.##.#.......##.#.#.#.....#.#.#...###.##....##....#.#.##.##.#.#..##...#.####.#.##..##........#
###..#..##..######.#...##.....##...##..##..#......##..#.##..##.#...#.#..##.......##........##.#####..##.###......##.#..##.#..#.#.#.#......#.#..#.####......##..#...##.##..#.##.##..###.##..######..##..##..#.#..#..#.#.###.#.#.#....####....###.####.#..##....##....#.##.#.#########.######.####.###..#.#..###..#.####....##.##.##..#.#.###...#######..##.#.#.#.#.#..#.#.#.#.##....###...#####.#.#..##.##...###.#.#.##.#####.##.#.#..##..##.#.####...........##..######.....#####.#.##..#.####..#.##.####..#....##........###.#.#.##...#..####.###.####..##.###....#.##.#.##..#........##..##.#.###.....#.#...###.#.####.##..##.#.####.##.##......##..##.#...##.#.##.......##.....#.##.#...#####...#####.##..###.#..#..##...##..#.###.##.###.##.####.#######.##.######....#.....###....#.#..#.#######.#...#..##########......##.##.#.#.##.#.#....#.##.##.....###########.#.##..###..##.##.#.########.#.########..#......###......#....#####.##.#.########.######.#.##.###.###....##.#..#.######.#######.######.##....###.##.##..#.#.##.#
#...###..#####...#.###.####.###..#..##..#.###.#.#####.#####.##.#.#.########.##.#.##.###.##..#..##...##...##.##.#.##.##.#..##...#.#.#.#.##...#.##.#####.##.####.###..#..##.#.##..######.###......##..#.####...#.###.#.#.......#.##.#...##.#.##.#......######.#..##.#.#..#.........###.....##.##....###.####...##.....#######..#..###.#.......#.......##.##.#.#.#.#.##.#####....##.#####.#...##..###.######.###.#####.##.##.#.........##..##..#....##.##############.#..##.##.....#.#..##.....#######.....#.##.##..####.##.###....#.##.#.##....#..##.##...##....##.#.#......###.##.##.####..###.#...#####...#.#.........##.###..###....#.#...####.#..##..#.##.##..#.##.#.#.#..##.####......#...##..#....##..##...#.#.######.#.##.#####..#............###.#..##..#..##.##.####.#.#..##.#######.#.....###.#.####.......##...#.#####.#..###..######.###.#######.#...##.##.###......#####..#########.##.##......##.###.#.##.###...#.####.####.#.#.##.#.#....#.####.#.#.###...##..###.#.####.##....###.......######...###.#.#....#..##.###.##.#
#.#...##.##..#.#....##...##..###.#.####.....###.....#.##....#..#.###.........#.######....##.##.#..#..###..#.#..###...###.###.#.#####.####.#.######......#..##......#####..#..##.#........#.##.#.##.##.##.##.##.#...#.##.######.##.##.###.###....#.#####...#.#.##..#.#.##.#.#.#.###.#.##.##...##.###......#.#.##.#.#..#.#####.##...#.#.##.######.#.#.##..###.#.#####....####.#.##.....####.####..##....##....#.##.#..####..#.#.#.##.###.####.#.##.##..................##...##.#.####.##..#.#..#.#..###.#####...##....####...##.#.#.##.#.##.#.###.##.##.#..##.#.##.#.##.###...#######....##.#.#.#.###.....#.#####.#.###.##..##.##...#.##.#.#....#.##..#.####...#.##.##.#.#.#.###..##..#.#########.##.##..##.#..#.#.#...##...#.#......##.##.#.#.###.#####.#.####.##........###########....##.#.#.#####.#######..#####..###.#...#.#.##...#.####......#.....##..#.#..#.#......#.##.....######...##...#....#######..######....#.#.#......................####.###....#...#.#.###...#.#....#.##.##...##.####.##.....#...###.#.#.###..###...##.#
###.###...##...##.#..##.##..##...####.###.#####.#.#########.##.#...##.#.##.#.#....##..#.##..##.##.#.###..#####.####.####...###...#####....####.####.###.####..###.##...##.#.##..#.#.#.#.##..#####..##.....#.##.#.#.#.#..........#.##.#.###...##.#.....#.#...####.##.#..#.#.#.#........#########.#...#.#.#######.######.#..##.#..#####.##......#.#####..######.##.####.##....####.###...##..#.#.###.#.####.#......##......###########.#.#.############.############.####.###..#.#.######.#.##.....##....#.###.##..##....#.###..###.##.#.#..#...####.#..##..#.#.##.#.##...###.....##..#.##....#.#...##.#.##.....###...###..###.###.##.#..#.#.##########..##..#####..##.###.#...##.#..##..#.####.###..########.####.#.#..##.#####.###..####.#.#######..........#..##.#.#.#.............##....#.#........#....##.....##...#.#.#...#..#.###.#..##.#.####.#.###.##.##.....##.#######.#.####..###....#...########.##.#.#.#..#.##.#.##.######.######.##.#####.......##.###.#.#...##.##.#.##.###..#######...###########.#######.#...#####..#.##.#
##...####.###.#####.##..#..##..#.##.......#...###.##........#..##.##..###..#.###.####.#.##.##..####...##..##.....####....#.##..###.....#.##.........###....##.##.....###..#..##.#####.#..##...##..#######.#.##.#.#.###.#.##.#.######....##.####.#.#####.###....###..####.#######.#.##..#.#....###.#.#.#.....##...........###.##...###.####.#######.##.##..........#.#####.#....#...#.###..##.....#####....##.##.#####.##..##.#.#.##....#.#.#.##.##...............####.....##.#.....#.##.#.##.#.#####.#....####..##..#.##..##.####..#.###.###.###.#.#.##..##.#.##.#.#..#...##.##.##.##.###.#.#.#.#.##.#.#..#.#...#.#...#.##.#...#..#.##.###...#.##.#.######.....##.##...#.#.#..#.##.##.##.......###.....##......#.####.##...##....##..##..#......##.####.#.###.###.######.#.#.##################.#.##...#.##..#.#####.##.#.##.##.##...#.##....#...##.#.#.#..#.####.#..#.......#.#.#..##.....##.#.#...#.............##.########.......#.....#####..###..#.#.#..#...###.#.#..#..#.###....##.......###...#.#............##.#.####....####..#
#..#...##.#.....#####..##.###############...#####..##.##.##.#.##..###.##..##...#.#.####.##.###..##..#..##..#.#.#...##.##.###..##.###.#.#..#.#######...##.#.##.###.##...##.##..###.....##..#######.......#.#.##.###.##..#.#######.##..#######....#.....####..##...##...####...##..#.###...#.#####..#.#.##.#.####.#.#.#.#.##.#####.##....##..........##..###.#.#.##......#####.###.#.#...##.##.#.#.....##.###...###......#.##.........##...........####.#.########..#.##.#.#####.###....#.#.##.#.....###.##....##..#.####..###....##.###....##.....#.#.###.##.#.####.##.##.###.####..##..########.#..###.##.#.#.#.###.###.##.#####.##..###...#............##.#.#.##..#.#.#.#.#######..#....#.#####.##.##.###.###.#....#.#..####.#.###.##..##.######...###.########.....#.#####.........##.......#.#.##.#.###..##.#.#.#.##.###...#.##.###.###.#.#.###..#...#.##...##.##.##.#.######...##..#.####.#.#.###.##########.##....##.....#.#.#.#.#.#...#.##.....#######################.#..####.##..###.#...###...#.#.###.######..#....####...###.#
#.##.####.#.#.#....##.##.......##.........#.....#.######.#..#.###..##.###.##.#.#.#.#.....#..##.####.####..##.###.#..####...##....##..#.##.###.......#..#.######....##.##...##..#####.####.....##..#####.######.##..##.##.....#....##...##.####.##.#.#..##..##..#.#..#....##.###.##...#.#.....##..##.#.##.#...####.###.#......##...###.####.###.##.####.#...#.#.##.#.####.......#.#.##.##..##.#.##.#####.#...#..####.#.#######.####.####.###.######.##.#........####..#.#..##...####.###.#.#..#.###.##..##.####..##...###...#.##..#..###.#..#.#######..##.#..#....####.##...#...###.###....##..###.####.#..#.##############...##...##...##.###.#.#.#.######.###.##.########.##.###..##.#.##.......##..#...########.######.##.###...#####.##....##..#...#.....##.#####...##..####.####....#####.###..###.####.##.....#.##...##.####...##..##.#.#.######.######.#..#..#.##.#...#.##.###..##....#######.#...###....#..##.#####.##.###.#.#####.###.###.#.##.#.####..#...###..##.###.##.##.#########.#...#.#######........##.#.##.#....#...#.#
###.....#.#.#.##.#######.#.##.########.##.##.######.###..##.###...#####.#.##.#.#...#.#.#.#####.##.....###.##.#...##.#....#.##.#.####.#..######.#.#.##.##.#......#.###..#.#..##.#.....##.#.##.####.....#..#.#...##.##...##.##.#.#####.#..#.#....##.#.######..##.#.####.#####...#.#..#.##########.##..#..#.#.#..##....###.##.#..##.##....##....#..###.##.#.#.#.#.##.#...####.#.#.###.##.###.##.#.#......#####.#.##....#....#.#..###...##...##.#####...#####.#.######..#####..#.#....#####.######..##.###.#.....#####.#..###.##..##.#.##.#.##.#.......##..######.#.##....##.###.#..##...#.#.##..######....#.##.........#.##.#.#.###.###.#.#....#.#.#.#.####.....#.##......##.......#.##..####.###.#..#.##.#......##.....##......####...##...##.#....###.##.######.#.###.#....#####....##.#.....#..###..##....###..#.#####..#.#....####..##.####.#....##..##.##..#.##.##..###.#....#.....###.#####........###.##.######...##...#...##.#...##........#.#.......#.#.##.###.##....#####...........##..###.#.#.##..###.###.###.########.###.##.#
#...##.########......##..#.#..##.......##..#....##....##.##.##..#.##.......#.#.#.#.###.#...##...###.#...#..#.#.#..#####.##.#..#....####.##.....#.#.#..####.##.#.#.##..##.#.##..##.##....#.#....##.#.####...##.##...##.##..##.......#.##...##.#..#.#..##....##..#.#......#.#.#####.##..#.####..#..#####.#.#.######.#######..#####..###.##..#.#######.######.#.###..#.#.#.####.#...#.##...###..#.##.#.#..##...######.###.#...##.#...###..#.##.......#####...#........##.#.##.#.##.#.....#...#####..#...####.####.#.####...#..##..#.#....#.##.##.##.#####..#.#####..###.###...#.#.##..#.#.#..#.##....####.#..##.####.#........#..##...#.#.##.#.###.#.#....##.#.##.##.##.#####.#.##.#..##....#...####.#.#############.##.#..##.#....##.####.##..#.#.######...........#.#####.###..##.#..####.#.###...#.##..#.#####.#....###.#.##.#..###.#####.#..##.#####.....##.#..#..#.###..#.#####.##...#.......##.#.#.........#.#.########.##.###.#.#..##.#.##.##.#.#.#.#...............##.....####.###.#.####...#.#......##.....#.##......##....##..###
###..#..##......##.#..##.#.###############.##.#..##.####.#..##.######.#.#.##.#.#.#...#.##.###.###...#.#.#.##.#.##..#.#...###.###.###....########.#.##...##.##.#.#..##..###..##.#####.#.####.#.#####....##.###..###.##..####..##.##.#.#..#######.###.####.#.##.#####.#.#.#.......#..#.##......###.....#.#.#.######.......##..###..##....##.#...###.#.....##.#..###.#.#.#......#.######.#...#.##.##.####.#..#..#.##..##..#.#######.##...######.##.#.###.##.####.####.......######.##.########...##.#.####.#.........#.##.##############.#.##.##.#....#.##......##.##.....##.##.#####.#.#.##......##...##.##.##....#.##.##.#######..########.#..##.#.##.###########..##.....#.#.####.##..##########..###.........##...#.##.##.###.##....##..####.###.#.##.####.##.#......##.....###################.#####.#....#####.###.######.##...####......##...#.###.#######.##.##...####...#.#.##.#.#.#####..#.#.#.#####.###......##.####..#...###.###.#..#.##.#.###.#.######.#.#.###########..#...#.#..##..######.#.#..##.#.######.########.###.####
####.#.####.###..#.#######.##.....#.........#.####..##...##.##...##.#####..###.###.#.#.##.##....###.#.#.#.##.#.##.##...#..####.#.###.#.##........###..#..#..#####.####..##.##...##...#...##.#.....#.##.##...#####..##.##....##..##.####..##.##...##.##...#.##..##...###...##########....#.##.#.###.#.#.#.#....##..#.##.####...#.####.####.#.#.......#.#.##.##..##.######.##.##..#.#.#######.#..##.##.####.##....#.##..##.#.......####...##...####......#.##......#.#.###..#.##..##..........#..###..##....##.#.####..#....##...##.#####.#..#####.###..##.#########.#.#.#...#.###...#.#..###.#.#####.##..#.##.#.####...#.......##..#.#...#.#.##..###....#......##.##..#.#.#.#....#..##......##..##..##.##.##.######.####.##...#####.#..##..##.........########..##.##.####.##....#.###.#.###.#.##..##...##.#..###.........##...#.#..#.######.##.#....##......##..#.###.##....#...#.##.###.....####.#.###.#####.#.##.####..###.##.#...#.##..#.##..#.#.#####......#.###...#...###...####.########.....##.###.#####....##........##.##.....#
#....#.##....###.#...##.....#####...#.##.#.##.###..####.######.####.......####.#...#.#.##.###.#.##..###.###..###...###.##......#...#.#.####.##.#...##.#.##.##........##.##..##.####.###.##..###.#.#.####..#.....##.##..###.###.###..##..##.....#.##..###.###..####.##...#..........####.###..#..##.########.#..##.#.##...##.#.####....##..#.#.#.##.####..#.##.######.#...##..##..........##.#.##......##..##.##.#.##.##..#.#######.##.#..#.#...##.###.##.##.#.#.####...##....##.##.#.#.#.#.###...#.##..#.###.#......###.####.####.#...####..##.#.....###.....#.#.###.#.##.####.###.####.##..###.#######.#.##.#....######.########.....#####..##...###.##.##########.########.#.#######.#####..####....#####....##.....####.#...##..######..##.#.####........##..#..###.....#.##..........#.....##..##.###.##...##.#.#.####..#.####.....##...##.##.###..#.##.##.##.#.#.#..#.###########...#.#....#.#..............#....##.....##.#.#.#..####.#####.#.....#.###.######.#...#.....#...##.##.....###.#..#..##.##....#.##..##.#####...##.##.#
####.#..###.##...##.####.####.##..#.#.#..#.##.....##....##.#....#.#######....#####.#.#.##.#.###..##...#...##...##.##....##.###.#.#.#.###.##.##.#.#.####.##..##.##.#####.#..######.....#..##...#.###...###.###.###..#..##.....###.######..##.#.##.##.###....##.##...###.###.#######....#...##...###......##..#.##..###..###..#....##.#..##.#######....#####.#..##.##....#.##.##..#.###.#######.###.#.#..#.###.#######..#.##########....##.####.##....######..#.#....#.#########..##.###.#.#..###.##.###.#.#.###.##.#...#.......#.#...####.##.##...#.###...#####...##..#.#.......##....##..##...#....##...###..##.#....#.#.......##.#.#....##.#####..##.....#.##.##.###.#.#..#.#.....##.....##.##..##.#.#.#.########.#####...##.####....#.##..###...##.##.#.#.#..###...##.#.##..##.###.#.#.#.#####..##....#.##.###..#.#....##.#####..###.#..#.#..#...#####.#######....###.##......##.#########.####.##.#.#.#.##.#.############..###.#######......##.#.#.#.#...#...#..#.#.######.####.##..#.######..#.###..#..##.#.#.###.##...########..#.#
#....#.##...##.#.##....####......##.####.#.#..#.#.#####.#....#.##.........#####....#.#.##.....#.###.###.#.#..#.##.#..##..#...###.#.###......#..#.###....##.##..#......###.###.#.###.#.##..##.##.#####.#.....#.####.##..##.#.###.......#.##..#.##.##.##..#.##..#..###.#...#.....####.###.####.#...#.#.#.####.#..##...##..###.##.#.#..#.##........##.###.######.##..###.##.##..##.#...#...#..##.#...###.####....##...######.#......###.##...##..###.#......#.##.#.####.........#.##....#.#.##..##..#..##.#.....#..###.#####.#.#.....###....##.##.#.#...###.......#..##.#.##.###.####.#.##.##..###.##.####...##.##.##.###.##.#.#######.#.##.##..##...####.##.#.#..#...#......####.##.##..#.#.......##..#.........#.##...#.##.###..#.##.###....###..#..##########.##.#.#..#.#..##.##...#####.....#.#.##..#.##.##..##.##.#.#####.....##...#.####.##.###..##.....#.######...#.##.####..#.#.##.#.####.####..###.#..#.#........###...####.#####.###.#####.#.#.#.##.######.##.#......#....#####........##.#...#.##.##..#.#...#..###...####.######
###.##.#..#.#..#####.#..#.###.##..#...##.###.##.#..#..#.###.##..###.#.###.....##.#.###.##.##.####.#..##.#.##.#..#.##.###.#.#...#.#.##..####.#.##.####.#.##..#####.#######.##......###.##.#####......###.#.#####.....##.##.#...#.##.##.####.##.##.#...##.#####.######.#.#.##.##...####.#..##..#####.#.#..##..#.####.###.##.###..#.##.#.###.#.#.#.##..........#..##.....##.#..###.#.#.#.#.#.######.##.....##.##..#.#...##.....####.....###.####..##.###.####.##.#..#####.###.#####..#########.##..##.##..##.#.###..##....####.###.#.....##.##.##.#.#.#.#.#.#.#.#.##.##.###....###..#.#.#...##.....##..#####.####...#......#.#.....###.#.##..##.##.#.#.#..##.....##.###.##.#..###..#.##.##.#.####.####.#.#.#.#.#...##.#....#...####.##...####...##.##........##.....#########..#.##.#..#.####.###.####.##..#..##..######.....#.#.#.##.#.###....##..##.###.#.#.....#.###.#####....##............#...#######..#.#####.#.###.#...#.##.....#.....######..#.#.#.##.........#.#########.#...##..#.#######.#.#.#..#..##.####.###...#.#...........#
#...####.##.##..##.#.#.##......##.##.#####....#.##...##.#....####...#.###.######.#.##...#..#..##....#####.##.##.####..##.###.###.#####.#....#.##.#....#.#..##...#.......#.##.#.##......#.....##.#######.#...###############.#....#######.#..#..###.#.##.....#.#........#..#..#####.#..######....##.###.##..##.####...#......####.##.###...#.#.#.##.#.#.####.#######.#..#.#.##...#.#####.....#########.#.##..##...##.##############.#..##.##.#.##....#....###..##...##...##.....##..##.###.#######...####..#.#.#.####.#....#...#.##.####..##.##.#.#.###...##########..####.####..##.#.###.###.#.####....##...##.####.##.##.#.#.###.#####..##..##.#...##.####.#.........####...#.#######..#....####...#.#.#.###.#..#.##.###.#..##..#..###....#.##..####.#.#####.#####.#....##.#.##.##......#.##...#.########.###..#...#.##.####.#.#..#...##.#####.##...#.###.###....##..##...##.##.#.#.##.#.#...###.###.#.##.#...###...####.##.##.#.#...#.#......####.######.#.###.#.#..##.....###.#..##.#.....#.#####.#####.##.##.#...#.###.##.###.#.##.#
#.#....#.##.##.##....#..##.#.####.##.##.#..#.######.#######.##..###.#.#......#.#.#..##.##.##.##..##.#...#.##.##..#.##.##.##..###....##.##.###.##.##.#.#.##..###...#.#.#.####.###..###.####.#.##...###.#.##.##.#.#.#.#.##.#..##.#.###.#.#.#.##.##...###..##.######.##.#.#.######.##...####.###.#######..##.##...##..####.#.###....##...#.#.#.#.#.##.###....#.##......#.##.#.##.#.#...####.#.##.#.#.#...###..####.##...##............#.##.....#..###.###.######.########.####.#.####.....#....#...##.##....##...###.#####.#####.#.##.#######...#.#.#..##.#.........###.#.........#####.#....##.####...####..#.#..#################......##..####..#.#.##..##..##.######..#.#.###...##....##.##....##.####.#..##.##.#.##...########...##.##.#.#..##....#.#..##.....#.....#####.#..#.#..######....###.##.###.###.##...######...####.#.##.#..#.##.#...##.######...##.#..######.##...#.#.#..#######...#.....#.##...#..##.#...#######..###.#.#.##.#.#####.....#.#.#...######....###...#.##.#..#.#.#...#########.#######...###...#.##...#.######
#.##.#.#.##.##.####.##.#######.#..##....##.#.....##..##..######.....####.#.#...#.##.##..#.##.###..#...###.##.#..##....##..##...#.####..#...##.#..##.#.#..#######.##.#.####...#######....####..#.#.....#..#.#...............##..#.........#.##.##.#...##..#...##...##.#.######......#.##.....#.....#.##.##.###.####...##.#...##.#.##.###.###.#.###....##.#######.###.#..###.##.#.###...##.#..#.....###...##...##..##.##..##.##.##.#.######.#.##...####....#.#.........###.####...###.##...##...#.##..##.#.##.#......##.......#.#..#.....#####.###.####..#.#.#.#.#...####.#.##.#..#.##.#.##..#....###....##.####...#.#.......#.#.##.#######....##.###.#..####..#.....###...#########..##.##..#.#.###.##...#.#####..#.##.#....###...#..#.####.##.##.#######..##.##...#.#.#.#.####.####......##.#.............##....#..#.#.#####..###..#.#.####....#.##...##...####.##......#####.##.####......##.#...###.#..#########.#.###..#.##.###..#.#.####.....###.#...#.#.####.#.###.#####################.##.#..#..#....###..#..##.#.#.##.#.#......#
#.#..#.#.#..#...##..##.#.........###.##..###.#####..####........#.#.##...#.###.###...##.#..###.#.##.#...#######..##.#.##.##..#.#.#....###.###.##.#..#.#.##........###..##..#.#.....##.#....####.#.##.##.#####.###.###.####..##.##.##.###.#..#..####.##..##.######.####....#.#.######....#.#.##.#.##.##.##..##.####.########.######...##..##.#..##.#.###.#####...#...##.##...###...##.##..#.##.######..#..##.##..##...##.##.####..#..##....#..#.#..#.##.#...##.#.########.#..#.#.#...###.##########.##..#..#.#.####.##.##.##.#.##.#.#.#....##...#....##.#.#.######.##....#..#.####..###.#..##.##...#.##.##.##...#.....###.###.#.#...#.#.#######....####.#..##.#.###...#.#####.....#.###.##.######...##.###.....##.###..#.##...###.##.....##..#.#........##.#####.###.#.......##..#.#.####..#.#.###.#.##.######.####......#..#.####.#######...#.##.##.###..#..#.#..##########....###....#.#.##..##.##.####.......#.######..##.##.##..####....#.#.#.#...#.#####.##......##......#####.#..#.#.#.###....##.##.####.##.##..###.#.##.#.#.#.#.##
####.#####.###.####..####.#.##.#.#....##.##......##.#######.#.#.######.#.#..##...##.##..####......#.##.###.##.#.##..#.##..##.#####.#.##...##...#.#.######..##.#.#...####..##.#.###....#.#######.#..#.##.....#.#...#...##...##...#..#...######.##.....##.##....#####....#.##.#......##.#.#.#.######...#.###.##..##...#.##..#...##...#.##.##..#.###.###.....#.#####.#.##..#.#.###.#..#.###.#.......##..#####...##.####.##.##..####.##..###.##.##.#.##..#.#.#..#.#............#######.##.#.....##.#.###..##.####...####...#..###.##.#.###.#.##..######.######...##.#####.#.##.#..#...#######.#######.#.#...#.#..####.##...#.###.....#.....#.....##.#####..##....#..##.#.#...#...#######....#......###.##.##..##.##...###.#..#.#..##.#..##.##..####.#.#.#####.#.##...####.#.######.##......######..######......##..#.#.#.####.##.##.###.#.#.###.#.#..##...#.###...##...####.#.##.#..##.#.#######.##......#.###.#####..#.#.##.....#.###...##.#.##.#.####.##..#.##....##.###..##.###.#.#.##.#.#....##.#.###..#.#.##.##..#.######.##.#.#.#.#..#
##.....##..#...##...##....#.##.####.#..####.#.##..#..##.....#.#####....#.##..##.##..###...##.#.#.####.........#####.#..##..#.....#####..#..##.######.#.######.###.####.##.##.######.#.#...#...###.##..#.#.#.#######.###..#..###.##.#.#..#...######.######..####.#####.##......##.#..#.#.#.#.#...##.###..##.##.###.#......###.####.##..#####.#...#...###.#...#.###.#.###.#.#.#...#.##...#.##.#.######.##....#..#..##...#.#..##.....##..##.##..#.#....##.###.##.#.#.#.##.#.#..##.##.....#.#.#.......#####..#.######.####.#.#########...###..##....##...##....#.....##...#.#..##...#....##.........######.#####..##...#######.##.######.#...#.#..#..##...####.#.##..#######...#..#.#.###.#.##.#####.###..##.###.##.###...#.####.##..##.##..##.#.##.#.#.....###....###.##.#....#.######.##..##.###......####.#####.#...#.............#.......##.#.#.####.##.##..#..#.#....#....#.##..###.......#..###.##.....###..##.##.#.##.#######...#.####.##.#..##...##....##.#.#######..#..............#.####..###.##.#.#.##.##.##.##...###..#.#.######
#..#.#..#.##.#..###.##.#.##.##.##...#.##....#..#.##.#####.#.#.###...####..##.##..##..###.#######....#.#.##.##.#.....#.###.##.##.##.....##.#####.#......#..##..##........#.##.#....#.#.#.#...#..##.#####.######.###..#...###...#..#.#.##...#..##.......###.##.#....######.##.###########.###...#.....##.##...###.#.#.#.##...#...##..##...#.###.###.#.##..##.##...###.#...#.#.#.#.#..##.##.########.#######.##.##.##..#.#.##..##.#.##..###..##.#.#.#########..#.#.#.#..###.##.....##.#.##.#.##.####.....##.......##.#.##.#.......###.######..###.####.####.#.#.#.#..#####.##..#.#####.#####.#####...##....##...####.###.#.#..........#####.#.##.######.###.#.#..##......##.####.......#.#.##.........#.##....#..#.####.##...##..##..#.##.##.....#.#.#.###...####...#..#.#.##.#.######.###......##.###....####.####.#.##.###.########.#####.######.#.#...#..##.#.##.#.##...####..##...#####.######.#.##.#.#####.###..............####.#...##..###.#####..##.######.......#.##.##.#######.#.#.#.##.###...#......#.####.....#..###.#.#......#
##.###.##..####.#...#..#######.##.#.#..###.##.##.##..##...#.#.#...#.#....##...##..##.#......#.##.#.##.#..#.##.###.#.#.##...#########.#.##.##....######.##....####.#.##.##..######...######.##.###.....#.##.....#...####.#.#.###.##.#..##.###..###.##.##...##.####.#..#...##...#.#....##..##.###.##.#######.##.....###..##.##.#.##.###.#.....#..##.#.#..##.....#...#.#.#.###.#.#.#.##..##...............##..#..#.##.##.##########.###.##..#####.#..##.###.#.########.########.#.##..#.#..#.##..###########.####..#....#####.###...#.....###...######...####.#.#.##....##.#..##....####.........#.####.#.##..#..#.#.........##.#.#.###########.......###.....##..#.###.##.....#.##.#.##.#..###############.#.#.##...##..##.##..####.#.##.##.##.##.#.#...#.###....#...####..#.....##....##.#.####..####.#..##....##.#.#....#........#.#...###.#.#....##.##.##..###..#.####.#####.#..#.....#..#.###....#.#...........####.#.#.#.#..##..#.########.....##.##...#.####.#.##.###...###....####.....#......#...##.#.....##.##.###...#####.#.#.##
##..##.#..##....###.####........#.#.#.##...#..##.##.####.########.#.#.##..##.#######.##.#.###....######.##.#..#####.#.#..#.....##.#..##########.#####.....#.##.##.#..#.##.##......#....##...#...##.####..#####...#.##...#.#.########.###.##..##...##..##.###.##.#.##.#.#..#.#.....#.####.##...####......##.####.#...##..#..#.#.####...##.##.####..####.##.#.####.##.#.#...#.#.#.#..##.##.##.#.##.#.##.##..#####.#...####..###.#....#.###..##...##........###..###........#.#########.##.#..##........##....####...##.....#...#.#.#.#.#...#.####.##..###.#..#.#..##.#.##.##..####..####.#.###.##....#.#####.##.#...#.###.#..#########.#.....#.####.##...#.#.##.##...##########.##########...###.#######...#.#.##.####.##...##.#.#..#..###...#..#.#.#.#.#..##.#.##.####...##.#.#####.####.#..####....###.##..#.##..###.##.##.###.#.....####......#.##...#.##.#####.#...##.....#.##.#.##.#####.#.###.####.#.#.###.#.#.##.#.#.###.##..##......##..#.#..###..#.....#######...######..##....##.##...##########..###.#..#.##..##.#...##########
#..##..##.####.##...#....#.#.#.####.#.##.###.#####...##..##..#.#..#.###..###.......###..#...###.####..#..#.##.#.....####.#.###..#.##.##.##.##.#.......##.##.....#.##.#.##..###.#.##.#.###.###.#..#....####.#.#.#.######.#.........##.#.#..####..#.##.##..##.......##...#.##.#.#.######.#########.########....##.#.####.##.####....#.#..#.#.....##..#.#.####...#######.#.#.#.#.#.#.##...#..###.##.###..##.##...#####....##.......#.####...####.####.##.##..#..##.##########........####..#.##..############....#.#..##.#####.####.#.###.###.......######...##########.##.###....##...####.#######.######.##.#..##.##...#.#.##...........#####....#.#..#.#.#..#.#..#...#.##.#####.#.#####..#.#.......#.##.##.#.#.....####.###....##.##.#...###.##.#.#.#.##..######....##.##..#....##..##..##...####.###.....######..#####..#...###.##.###.##.#.#.#..###.#.#...#.##.#####..#.#####..#..###.#.......#....#.#.#####.#....###.#...###..##..#.##..##.#.##...##.###.#.....##..#........############.#..........##..##.##.#..#.###.#.###...######
##..#######.....#.#.####.###.#....###.##.###....##.#.###..##.....#######...#.#.##.###..##.#.#........#######..#.#.#...##.#...##....###..#.......#.#.#.#..#..#.#.#..#.#.##.##...###..###.#...#.#.##.#.##........#..##....#.#.#.######...#.##..##.#..#.###..##.#.##....###.######..#.##..##.###.#...#...#.###.##..#....#..#...##.##.#.#.##.#.#.#..#.##...#.####....##...#.###.#.#.#..##.###...#.##..##.##.....####.#..#####.#.#.#.#....##.##.#..#.#...#.##.##.##.............#.#.##...###.#.###........#.#...#.##.####......#...#######...##.#.#.#..###...#..........#.##.#...##.##.#...##.....#.#.........###.##..#..#.#.#..##.############.#############.#.##.##.#.#.........#.....##.####...##.##...####..#.#.#.#..#.#...##.#..#..###.#.########.###.#..###...#.########.###.####.####..#.#....#.#.#######.#.###...##..##.#..##..#.....##.#.#.######.#####...##....#####.##..##.##.......############.#..#..#.#.#.######.######..##.#.##.#####.##.###....#####.#..##.#.#.######.#####....###.#.#.########..####.#.####.########.##.#.##
#..##.##..####.####.#....###.#.#.##...####...##.####..##.######.###......#.###.#####..##..#####.######..##...#######.##..##.###.#######.#######.###.#.#.###.######.###..#.#..#...##.....#.#.#.#.####..#####.#.##.####.#.#.#.#......##.##....##..##.###.#.########.##..##.#.#.###.#..##.#........#...#.....#.#..##.####.##.#.##.##.#.#..###.###.##.####.....#####.####.#.###.######.#...##.#.####.#####..###......##.....###.#.#.##.#.#.....##...#.#.#..#.......##.##.##.##.#####..#..####..##.########.##.##.##...##.#.#.##.#.#.#...##.#####.#.####.#####.##.#.###.#..#.##.######.#.#..#.#.#...##.#.#.##..##..##.##.######..................#######......#..###..####.#.##.###.###.......#.###...###....##.###.#.##...#.#.#..#.##.##...#...###.####...##...#.###....#.#.####.....###.##.##.##.#.#..............##.#.###..#.####..##.########.#...##...##.#..#.##.##....##....###..##.####......#...###.##...##.###.....##......##..#.#..#.....#..#.###.#.###.########.#.#..............##..##.#.#......##..###.#####....##.............#
##.......###....##..#.#.##...###..###..####.##....##.##..##.......##.##.##...#...#.#.####.####.........#####.##.......##.#....#...##.##..........######.##.....#.######.####.#.#..###.#.#######..####...##..#.##..#.#######.###.####..###.#.###.##..##.###.#......##.##........###.##....##.#.#.##.##.########.##....######..#.##.#.##..##.##..####..##.##.....#.#....#...#..##....#.###..#..#.#.....##...##.#.#..##.##.##..#.#..#.#.##.#####.###.#.##.##.##.#.####..##..#....######...##.##.....###.#.#...#..#####..#.#..#####...####.....#.#........##...###..####.##.#..##.##..#.#.####.##########.#######.##.#....######.#####.#.#.####.....#.##.###.#######....#.#.#........####.#.##...##.##...##..#######.##.#####.##.#..#..##.###.##.#..#####.##.#....##.##........#.##.##.......#..#.#.#.##.#.############.#.#.##....##.##.....##...###..##.##....####...#.#.##..##...#.##.....##.#.###.###.###..####.##..##.####.###.##.####.##.##.##.##...#.#.#.......##.###.#.#.#.######.#####..#.#.#.#.######...........##....###.##.######
###.#.##.#.###.##..########.#####.##..##....##.#.#######..####.#.#####...#.#.##.##.###..###.#..#.#.#.#.....#####.##.#.##.##.#####.....#######.#.##.......#.#.#.......##...##.###.##...#...##.###....##.######.##.##....##.....#...###.#.###...#.#..###.....###.#.##..##.#.##.#..##.##.##############..####.#...#..#####...#.##.##.#.##.#######..##..##...#.#.###.#.##.#.####..#.##.#.##..###...####.####.##..###.##...#..##.#.##.#####......#..##.####.####..#...###.##.#######.##.##.##..##.#.#.......#.####.....##.#.#.###.##.#.##...#.######.#.#.#..##.####.##.#######.##.....##.#.#.##......##.####..#.####..##.#...##.....#####.#...########.#####........##.#.#.#.##.#####..#####..#.####..##.########..##..#...######.##.##.##.#........##.#.#.#####.#..#.##.#.########...###.#.####.#.#.#.##.#............###....###.##..##.######.#..###.##.#..##....##.##.#..##.###.#######.######.#....#....##....####.#####......#..###.#..##..#..#..#.#.#.#...#.###......#.#.###......#.....#.##.#.#.#.....##.#.####.##..##.#.#####.......#
#.#.######.#.#.##.####.#........#####.###.#.##.#.#.#.....##....#.##.####.###..#........###....####.###.#.###.....##.#.##.##.....#.#.###.......#..##.#.####.####.##.#..#.###...##.######.####..#####..#.#.......#####.#....#.#.###..##.....#.#.#.##...#.###.....#..##..#.###..##...............##...##......##.###.......#.#.#####.#.##......###....####.##.#######.#..#.##.######..#.#..##...#####....##.###...#..##.######.#.##...##..####.##..#.##......##.#.#..#####.............#..##.##.#.###########....##.###.###........###..###....#.#.#.#.##.#..##.#.........##.######.##.#....########....##.##....##.####.#..##.##...#####.#...........##...#.###.##..###.###...#.###...######....####..##.......##..##.#...##...##.##.#..###.#.#.##....#...#.######.##.#........##.##...#...##.#.#.####.##.#.####.##.##..##...#######.......#.##.#.###..##.##.#.##...#.#.##..#.....##..#...#.#....##...######.#####......####.####...#.##.#..##.##.####.#.##.##...########.###...#.####.#.#.####.#.####.#.##########.##.#####....####.##.##
#.....##.......####.#....#.##.###.....#...#..#.###...#.#.#..#.##.#.........##.#.#.######...#.###.....#.#...###.#.##.#.##.#..#######...##.#.#.##.##..#....#.##....#.####.#...#.##....##..##.#.##.##########.#.#.....######.#.#...#.####.#.##.###.############.#.##.###.#.##..##..##.#.###.#.##....#####.###..####..#.#.###.#.....#.#.##.###.##...#.##..#..#......##.##.#.....#.####.###.#####.....###.##...###.##.#####.#.#..#.#..#..##....###..##.##.#.####..####.....##.#.####.#.###.##...###...........#.##.####.#####.##.#.###...##...####.#.#.#######....##.#.#########.##...##.####....###.#.##.......#####...##.#.##...###.....####.#####.#.###.#.#.#######...#...###...#.###.....##.########....###.#.###.##.#.#####.###.##.####...#.#....#.####....#.###..#.#.#.#.##..###..###.########....###..#....########.##.#.......#.#.#.#.#.#....####..#.#..#..##.####.##.##.#.#..##...#...#.#.####.####..#.....##.#####......##.#....#.##..#########.#..#.##.#......###...##.##....###.####.###.##...#..........#..#.#..##.####..#.##..#
#.#.######.#.#.#......##.#.##...####.####.##.#...#.#.#.#.##.###..###.###.#.#..###....#####.#...###.###.##.######.##.###..##.....##..#.######.##..##.##.###.#..#.##...####.#.#####.#..##............#.##.####.##.####......#.##.##.#.##.####..####.###.##.##..####...#.#.##.####.##.#.###.#####.#..#.##...#.###.##.#########.#.#####.#....#####.######...##.#.########.#.#.#...#.########.#.#.###..##..###...#.#####........###########.####...######.#....##....#.#.#..#.#..#############.###..#.##.##.#####...##...##....#.#..####.####..###...#....##...#.#####........##....#.##...##.####......#.###.#.....#.#.#..###..#...#.#.####.#.....######..#.#...###.##.###.###..#...##..#.####.......##.##...#.#...#..###.##.####....###....#.###.#.#####...##.....#.##.#.#.#..##...##..##.......##.##..##.##.#####.##....##.#.#.#.#.#.#.#.######.#...#####.#.##.##..#.##..#.##.#.##..#.#.#.#.#.###.##......#####.##......##.#.###..#.#.######.....###.###.##.##.#.######.#####...#.#.####........########.##.#.###.####...###......##..##.#
#.#..##....#.#####.##.#..####.#....#.##...##.#.#######.######...##...##..####..###.#.....####.##.#.#####...#.###.##.##..####.##..##.###.#.##.##.##..##...###.##..#.#.#.####.##....#####.#.#####.#.##.##..##..##.##.####.#.#..#..#....#....##...##........###.##...#.###.##.##.#..#.#...#..##.#.#.##.####.#.##.....##.##.#####.....###.##.##.......#.##.##..#..##.###..#.#.###.........##......##.####.##..#.#.....#.#.#.#.##.##...#.#.....#####..##..##.###..#.##.#########.......#...##....##.#.##.##.....###....######.#####..##...#.##...#####.####..#.###.#####.##.#.#..##.####.#.##......####.#...####.#.####.##...#.##.#####......##.#####.#.######.#.....##.#.###.#.##.#####.#....#.#.#.#.##..#.######.#######.....####.#...##.#.#..##.#...#.#.#####.#########.####..#.#####..##.##.#..#.#..##..##........##.#..#.#.#.###.#.#.#......#.#.#....##.#..#.###....####..###.###.###.###.#.....##.##.#.....#..##.##.#####...##.#####......###..#..##...#..#.#.........####.#.###....#.#.#######.....######..##....##.##...#.#.##..##..#
####..######..##...##.##....#.###.##..###..#.#...##....###.###.##..#.###...###...###.###.##.#.##.......##.##......#####.##...##.###..##.......####.##..###...###.###....##..#..##.#.....#########.....##..#.###.##......#.#######.#.###.####.###..####.#......###.#######..##...##.##.###....#.###..#.###########.........##..#.####..##..###.#.#...##.###.##....#.#.##.###...#.#.##.###.###.###.#.#...##.#.#.###.#.#.###.##....#.....#.#.....##..#.##....##.###...#.#.##.##.#.##...#####.#.#..#.##..#.#####...##.##...#.#.#...####.##..#.#....##...##.##.........#..#.#.#.###....#.####.#.##....#.#.#....#####.##.###.##.#.....#############.........##..#.#.#.#.....##...##.....#.#.#.############.#......#.......#.#.#....#.##.#######.#####.#...####.######.#.###..#.##.#####...###.#######.#.####..#.##.#.######.##.#.#...#.#.###.#.#.##.#.#.#.##..#.##..##.#.####..###...##...#...#.#.##.##...###.#####.##...#....##.#..#....#####.#...##...####.########.#.##.###..#.#...###.######...##..#.#.....##.####.####.####.#######.##.##
##.####......#####..#####.#.#...#..#####..##.#.#####.###....#...##.#..##.###.#.#..##...#.#....#..#.#####...#.#.##....##..#.#.#..#...######.#.##.....##..####.#....###.###..##.###.#.#.#.........#.#######.#...#.##.##.###.......#.###...##.....##.#....#####.##.....#.####.###.#####....#.####...##.#.#.#.##......##.#.#.####.#....####..######.##.###...#####.#...####...#.#.#.######...##....#...##.##..#.#...###.#.##..###.#.##.##.#.#.#.#....##..##.####...##.##....#..#.#.##.#.#...#.####.#.###.#.###.###.##....###...#.#...##....##.#.####..#.######.#.#.#.###.#.#.###...##.#.##...#.###.###.#.##.#........#..##.##.##.#.##......##.#.##.###.######.#.#.#.#.#.#.##.#..#.#######.#.#.#.#.#.#.##.#.###.##.###.#####.#.##.###..##..........#####..#..............##...##.....######....#######.##...#####.#.....##.##.#.##.##.#..##.#.########.#..#.##.#..#####....##.##..#.##.#.##.##.#..#..###..###########.#.#.##.##.####.##....##.#.#..#.#..##.........#.#.##.#.#.############.#.##.###..##.###.#..###.##....#..##.....#.##.#..##
#.....#.##.#.##....##...#.####.#####.....##..####.....#####...#.#####.#...##...#.###.###########.#.....##.######..#.##..####.##.#.#...##...####.##.####..##..####...#...##.##...#######.#.#####.######.#....#####..#..#...##.#.##...########.#..###.#.##......##.##.....##..##.....##.#.#...##.#..#.#.#....#####.##..#.#..##..#.##....##..#.###.##.##..#...##..#.#....#.#.#.#.#.....###.####.#.######..##.#.###.#####..##.#.#########.###.#.##.########....##.###....##...####..###...#.#..##..#..##.#...#...####.##...#.###.#.###..#.##..#....##.#...#.##.#.###.##########..#..###..#.###...#...#.#..#.##.##.#####.#..##.##.#....####..#.#.#....#..##.######.#.#.########.##....#.##.#.....#......#.#.#####....#.##.######....##..#####.#.#.###.###...##.#######.#.##.#####.##..###.##.#..#..########...#.####.#######..#..######.##..#.....#.##.#.##.####.##...#.##..#####.#.##.#..###..##.##...##.#......##.########.##.###...####..#.###.####.####.##.#.###.#..#......##.##.#.##.......#.#.#########.##...##.#.###..###.#....####..#
##.##...#..#..##.###..#......#...#.####.####.###..#.###.....#.#.#.....##.#####.#...#....##.......#.#####..#.###..##..##.##...####.##.##..#....#.#..##...####.##...###.#.##..#.#.##......#....##.###....####.#..##.###.##.###.####.#######....#.###..#.##.#.#.###.##.#.#####..###.######.#########.......####..##.##.##.#.####.#.###.#####.....#..#..##.###.##.##.#.#.####.#.####.#.##.....##.#......#.###.#.##....###.##..#....##.#....####.##.....##.#.##.##...##.#.######.###...#.###.#.####.##..#.#.#...#....#####.##...###...#.##..##.#.#.##..##.##.#..####...#.#.#.##..########.####..#.##.##.#.#####.##...#.####.##.#..#.##....##...#...#.###.......##..#.#.....##....#.##....#.###.#...#.#.##.#....###.#.#........##.######..##...#.#.#.......#.##......#######..##.#####......####...##..#.##..#......#.......##.#.###.##..##.##.###....#.#..#....#.#..#.###..####...#.##.##...##.#####.####...#.##.#.........###....#.###....##.##....##...##..###...#.##.######............#.###.....##.....#######.##.#...##..##.###.###.####
######.###.##.#..#...###.##.##.#.#.........#...#.############.#.#.#.#.##...##..###.#########.###.#.....####..#..####.##..#.#....###...##.##.###.#####.#..##...###..##.#..##.#.#..####.#.#.#.##......######....#####...##.#......#.......##.#.###...#########...#..###....##.##......##.....#.##.####.##.#.##.##..##..#.#...##.###.....##..#.###.######..##..#..###.####...#.##...#####.#.##..##.#.###...#.#.#..##...#####.#.##......##....#.##.#.###..###...##.##..#..........##.##..##.#..#.#..##.#.#.##.###.####.####..#...##.##..##.##.#.#..####.....##....###........##..####....##.#.##.##.########.#..#.#...##....###.##..#.####..#...###..##.#.#####..##.#.###..##.#.#..##.###.#####.########.##.#...#####.########.....##..##..#####.##.#.#.##.##.#.##.....#.#####...##..##.####.###....##.#####.#.#####.##.######.#....##..#..#...#.#.##.#.###.#.#...##.###.###.##.##..#..##.##......#..#.#.###..#...#######...##.###...###.##...##.#..#.#.###...##.##.##..#.#.###########.##...##.##....#.#.#.#.##...###.#..#.##..######.....#
#.#....##..#..##.#.#.#.#.##..#.####.##.#.###.#.#..###.##.####.###.###.##.#..##...#......##...#...#.#.#...###...###.#####.####.#...##.##..##...####....##..#.#.#...##..#.###.#######...#.#.#.#..#.##..##....##.#######.##.##.##.##.##########...###.##........###.###..#.###..###.#.##..#.#.........###.....#.######.#########.##..##.####.####.....##..###.##.####.##.###.###..#.##.##.#####.####..##.########..###.############.#.##..#.##.##.#...##.####.#######.#.####.###..#..#.#####.##...#####.#.##...#.........##.#.#.##..####...###.##....##.##.###.#..##.#.#.#.####....#.##....####.#.......##..##.#.##.####.###...##.##...###.##.#####.##.#.....##..#.#..##.###.###.##...##...##.........#..###.#....##........#############..#.##.#..#.#.##.#######.#.#...###.#.####.###........##.#........#.#.###.####.....##...##..##.##.#.#.###..#.#..##.#.##.###...#......#.##.###..####.#.#.###...#..#####.#..#############...#.##...##.##..#.##.#...##.##...#.###......#.##.#...#####.#############........#...#.#.##..##........#####
#...##..##.##.####.#.#....#.##..##..####...#.#.####.............###...#..#.####.##.##.####.####.##.####.##...#..#...##...##...#.#.##..##.##.#####..#.##..##.###.#..#.##.#.#...##....###.#.#.#.##..##..###.##...##.....####...#.##......#.##..####..#..#.#.##...###.#.####...##...#####.#.#.##.#.##...##.##......#.###.#.###.###..##...#.#....##.#.####...#.#..##......##..##..##..#.##.#........#.###..#.#.#.##..##...##...##.####..##.#.##.##.#.#......##.##.##.###....#...##.####.#...#..###.....#.#####.#############.#######...##.#####..###.##...#...#.#.###.#.###.##.##.#######.#....#.##.#.####..#####.##....#.#...#..#.##.#...#.##....#########.#..#.#####..#.#....##..###.#..#..#.#.#.###.######.#.##############.##.##.##..##....#.##.###.##.......#.#.#.#..........#.#...##.#####..#.##.##.####........##########..#.##..######...##.####..#.####...##.##.##.#.#.##.#.#####.#.#.###.###.####...#.##......##..#..##.#####.###...#.##..#.#.#..##########...##.#....#.#.####.#...#.##......###.#.##.###.#######.##..#.#.##.....#
#.#..##.##.#..#....#.##.#.#.#..###.##.#..#######....##.#.#.#.##...###.##.#.##....#..#....####.###...#.#.####.##...#..#.#.#..#.#.#.##.#####...##...##..##..#..####.##.#....#.#..####...#.#.#.#.###..##..##..##.##..##.##....###########...###..#.##.########..#..##...#.###.##..#.#.....#.######.###.###..##.#.#....#....#.#...##..#.###...#####.#.##...######.##.#.######..#.####...####.##.#.#####.##.......##.##..#.##.#.........##..#.##.#..#.#.##.#.##..#.#..###.##.#.#.#.....#...#.##.##..#.###...##..............#....#.##.#.##..##.##.##...##.####.#.####..#..##..#.#...#.#.#..##.#.#.##.#......###.##.##.#.######.##.#######.##..##.#.#.#.##.#..#.##...##..##.#.#.##..##.###.##.##.#.#...######...#.###.###.#.#.......#.....###.#.####..#...##.################.#.#####.##.##....####.#.####....#####.######.#.##.#########......##.##.....##.#.##...#..#.####..#.#.##.........###.....###.##...#.#..######..##...#######.#...#.#.####.##.####.###......#.#..#.##.#...#...#..#.#....#.######.#########........#..##.#.#..###.###
#.####...####.##.######.###.#.##...#....###.#.####.##..#.#.####.#####.#..#.##.####.########.......#...###....##.######.####.###.#.#...##...#.##.#..##..##.##.#....#####.########....#.#.#.#.###...####..#.###.##.##...####....#......#.#...##...######.#.###.#.##..#....##..##.#.##.##.#.######...#...#.###.#.#.##...##.....#####.#..##.#...#.#.###..#....#.###..#.....##.##.##...#....###..#..#.##..#.#.######.##.###########.##.##..##.##.#.##.#..#######.#...##....#.#.###.#.#######.##.###.#.#####..###.###############....#.####.###.#####.#..#...##.#....#.##.##..##...#.....##.#..#.#.##.#.####..#...######......#.#....#...#.##.##..#........###############..#.#..##.....##..#.####.#.#####..###.#.............#.###...#.#.#...#...###.###.##................###..#..#.#...#.##...##.#...#######.###..#.#...........#....##.#####...#######..#.##.#.#.##....##.#.#.#..#.##.##..##.###.#......######......##....#...##.#..##.##.#....#..#..##......#.#.##.#.#####.#.#...#...##.#.##...........#.#.##.####.###########.#.##....##
#.#....#.##...#..#........###.######.##........#.#..######.##....##...##.####.##.....##...##.##.#.#.######.#.##....###.###...######.#.#..###.#####.#..##...###.##...##.......####.#.#.#.#.#.#...#...##.##...###...##.###...##...###.####.#.#..###.##.........########.#####..###.#..##.#.#.##.##.######...#.#.#..#.#..#####.....#.##.##.###.#.#...##.##.#.....##.#.#.###..#####.#.#.#.##...###......####.##.....##.....##.##...##.##.##...#.#.##.##...###.....#.##.#.##.#..##.#......####..#.#.#.....#.##......#.#.##.#.###.#.##..##..........#.#.##.#..#.#.#.##..#.##.#####.#######..##.#####..#....##...#.....##.#.##.#.##.#...#####...##.#.########.#.#.###.....##.#.##..##.##.##.##.#.##.#.......######.##.##.####################.##.#.#...#...##.#.#.#.#############...####.#.#..##.#####.###.#####...##.....##.##.#####.####....##..###.....##.#.##.#.#.##.#.##..#####.#######..##....###.##.#.##.#####.##.############...##...#.#.#.##.###..###.#.#########.#.#...#.#.#.##.###.#..#.#.#.#.###..........######.###...###..##.#..#
#####.##.##.#########.#.#..##..##....###.###.#.#.####.#.#...###.####.##..#.....##.##..##.########.#...#.##.#.##.####.#.#...#......#.#.##.##...##...##..#.#..##.#..#####.#.#.##....#.#.###.#####.#.###...#.#...##.##..##..#.#..#..####.#######.#......##.##.#.....##.......#########..#.#......#############.###.#####...###.#.###.##.##.#...#.#####..##.#.##.##..#.#..###...##..#.#.#.####...##.##.###....#######..###.#.....#.#...#.###.##.#.####..#...##.#.##.##.#..#.#.##..#.#.#.##.###.#...#.#.#######.#.#......#.....#.#..##.#..#.#.#.##.#.#..#.##.###.#.#..##.####...........##..#....##.###.####.######.###.#..#.#.#..#.#.....#.#.##.#................#.######.#.#####..#####..#...##.###.#.#......#.##.##....###.#........###..##.####.###.#####.#.#.....#.###...##.###...###.##......#..#........########..#.##..........##.#.###.....###..#.#..#.#.#.#..#..#####.##.....####.###.#...###..#.....#..#..#.#....#.##.#..#####.####.#.##..##.###..###....#.####...#.###.#..###.#.#.####.#.#.###.###.######.##.#.#...###########.##
#......#######.#......#.##.###.#..##.#....##.#....##......#..##.##...#..###.##..#####.....#.#.....#.#....#####.......#.##.###.#####.#.#...##.##..###..#####..#.##...#.#.#.#.#..##.#.#######.....#...##.####.#.##..##.##.##.#.###........#.#.###.##.#.##..####.##..##.##.#......###..##.##.#.#...#.#......##...#....##.#...#.#..##.##..#.#.#.....##..##..#..#..##.#.#.##...#..##.#.#.###....###..##...#.##.....##..####.###.#.####.##..##.##.#..##..##.#..#.#.##.##.#.######..##.######...#.##.##.#...##..#.#.#.##.#...##.####.##..##.#.#.###########..#..#######..###....##.#.###.##..###.######......#......#.#.###.####.##.#.##.####.#.##.##.######.#.##.#...#####..#.....##...##..######....#.####.##.##..#.##.#.##.....#.#.##...#####.##...#.....##..#.#.#.###.....######.###...#####.#.####...##.##.###.....##.#..##.##.####..#.#...##.##...#.#####.#.#.#.#.#######......#.###......#.###..##.##.###...##.##...##........###.####.##.###..###...##.....####.#.####.#...#.#.###..###...######...#..##....#.#.#......####..##.####..#
####.#.##.##...##.###.#..#..####.###.#.##..#.#.#.##..#.#.##.##..##.#.##.##...##..##...##.##.###.#.#.##.#..##...#.#.#####..##......######.###.##.##...##.....#####.#...#.#.#.##.##.#......####.#.#.#.#....##.###..##..##.##.#..##.#.#.##.....#####..#.###..##...#.###.##.#.######...##..##.###.#.....########.####.###.##.##.##.##..#.##.#.###.#####.#..##.########.#####.##.#######.###.##...#####.###.##.###..##....###...#####..##.###.##.##.###.#..######..#..###.#.########.##.#.#.#####..##.#.#....##.#.#.##.########.#####.#####.#........##.#####.......##..##########.##########....##...#.##.#.#.#.##...###....#.##.#..#....#.#.####.......#.#..#.#.#.....##.#.######.#..##......##.###..##...#.##.####..#.#..#.########.#..##....###.###.####.##.###.....#.#.........##.#....##.#....#.#.##..#.....##############.....#.####.#.##..##.##.#.#.###.###.#.......#.#.##.#...###.#.##...##.##.#...##.#######.#..##.####.###....##..####..##...#####.##..........##.##.####.....#####.##..########.##.##.#.....######..##.....#.##.#
##...#.#..####..#######.###...#####..#.##.####.####.##.###...##..###.#...#.#.###..##.##.......#.#.#.##.##..##.##.#....###.#..##.#.....##.#....#.##.#..##.##.#.....#####.#.#.##..###.##.#..##..#.#.#.##.####.###.####.#..#..#.###.#.#..#.#.###.....####.#.##..###.#....###......#.#..##.##..##.#.#.#..#####.#..##..#.#.##.#####.#..##.####.##.....##.#.##.....##.....#.##..#...##....#...##.#..##.###...#..####..#.#.##...#.#.....##..##..##.##.#.#.##..##.#####.##......#...##.............##.##.#.#.##..###.#.##....#..#...##.#########.########..###.##.##.#.#..##..#.##.#.......###.###.##..#.#..#.###.#.##.###.######..#.#.##.#.####.#....#.#######.##.#.#.##.##..#.#....#.#.####.######...##..##.####..#.###.#...#####.#.#.#.#.###.#.##...##.....#.#..###.#.#.#.#.############.#.##..#.#.##.#..#.##.#.#...........#.##.#####....#.####.#####........#...####.#.##.#.#.#..###..##.#.##.#..####.##.###.......#.#.##....##.....##....###.##..##.####....##.#.#.#########...##.#####..#####.##.##.#.#..#.##...##.#####.##.#..#.#....#.#
#..###.##..#.##...........###..##.##.#.#...#####....##.####.####..#####.####.#.#.##...##.############..##.##..##.#.#.##...##.####.#####..#.#.##.#..####...###.###.....#.#.#..##.##...#.##.###.#.#.#.#...#.#...###.#####.##.#.#...###.##.#####.#.#.##......#########.#..###.#.#.####.##.###..#.#.####.......######...####.....###.##...##..#..#.####.#..##.######.##....##.##.########.#..####......###.##....##.#.#.####.#.#.#.#..##..##..#.##.#....##........#..##.###...#..##.##.###.###.##.######..##...#.#.###.#...##.###..##.##.........#.###.#...##.####.##..##........#.#####.#..##..####.#.##..##.###.......#####.##.#..#.#....#.#.##.#.####..######.#.#...##.#...##.#.#...##......#.#######.....##....##.##.##.#.......###...#.#..###.#..##.#####...#.#####.#............###..##.#.#.##.#.##.##.####.########....#....##########.......##.###.####.##....#..#.#.####...##.#..#..#.##.#..#.##...#.###########..#####.##.####.####..###.#.....##.####.###....#.##...##########.##.#.#....#....##.#..###..#............####.##.#.#
##.###.###......#.#.#.##.###..##.....#.#.#.....#.#.#####....#..##.#.#...#.#..#....#.#.##.....#########.##.#####..#.######.##..##..###...##.#######.##...###....##.##.####.#.###.##.#####...##.#.#.#.##.##.##.##...#.##...#.#####...###...##...###.#..###.##....#....##..##.#.####...##..##.########..#.###.....##.####.#.#.#..##.####.#..###.#....#.#.##..##.....###.#..#.##.##..#.#..##..#.#.#######..##.#.#####.#.#.####.#.#.##..##.###.#.#..#.##.#..##.###.##.##..##.####.##..#...#..##..#.....###.#..###.#.#...#.#.....##.##...##.##.#.#.........###.....#########.##.#.##...#.#.#.####.#....####.#########.###.....###..#.####.#.##.#.##.#......###########.#..####.#####.#.###..#.##.#..##..####.###..#.##..##......##.##.####.##.##..#####..#....###.##.....#.###.#.#.##.#...#.###.#.#..#.###..##...##.....####.#.###.#.......##...###.####..##..##...####.#.##.####.#.#..####.#.##..####.###..#.####.#.#.#..##.....#..#...#####.#.##.#.###.###...##....##.#...##.#.............#.#...####.###########..##.##.######.##.####..#.#
#..#...#...#.##.#.#.####.#.##..####.##.#.##.###############...#####...#...##.#.##.#.###..#.#..#.#.#.#####..##...####......##.####...#.#.##.##.......##.###..#.###..#...##.#.#...##.....###.##.#.#.#.#......######......###..##...#####.######.#...##.##...##.#...#.###.###.#....###.##.##..#.#....#.##...##.##..#.##...#.###.##.....#.##.#...#.####.#####.##.#.#..##.##.###..###.....####.#.#.......##.####.....###......#######..##....#.#.##.#.##.##.##.#########.##.....###..##.#.#.###.##.#.#..#####...#.#.#.###.#####.......###..##.###.#.##.#.#######.###..##..###..#.#..#........#.####.#..##.........##...#.###...####....#.#..########.####.##.##.##.##.#.###...#.#####...##.#.#####.##.##.....#######..#####.#.########.####...####.#...###.#...####.#####...########.##.##.##..#.##.#...##.##.#.#..#.#....###.##..#.##.#.#####...#..##..####..#####....#..#.#......#.#####.#..#####.......##....#.......###.##.##.##.#...#........#.#.....##.###.#.###.########.#.#.##.##.#.....#.#.##..##..#.#..##.####.......###.....##.#.#
##.##.###.##.##.#.#.#.......#####....###.##.##..#.#.##.##...#...####.##.#..#.####.######.####...........#.####.##..##.#.###....###.####.##..#.#####.#..#...####...##.#..#######.##.###..##.##.#.#.###.#.##....##..#.##..###..###.....###.#.#########..###..#.##.##.##....#####.##...#..###.....#.##.##.##########....######...#.#.#.#.####.#.#....#..##....###.##..#.#######..##.#.#..##....##########...##.######..#.#.##.......#####.####.#..#..#.#..##....##...#.###.##.#########.#.#.###..#.##....##.#.#.#.#.#.......#.#######.##..#..##.#..###..#.#.####...####..#######.##.##.#.#....##..##.#####.####.##.#.####..#.##...#######.###...#....##.#.....#...###...###.......##.##..###.#####...#####..#.#.###...##..#....##.....###.#.##.....#...###.#.##.....########.#.#.###..#####.##.##.#.###...#.#.#.##.###.###...##.#..###....##.#.####..###.##....####.#######.#.##.#.##.#..##.....#.#.##.##..##...#.###...#.####..######...####.#######.#.##...#.#.##.........###.#.##..#.##.####......##..##...##.....####.##...#.##########
#...###.####.####.####.##.#...##..##.##..#.....##.........#.#####.#..#..#.##.#........##.##.##.###.#.##.####.#....##..#.#...#.##...##....####.####..##.#.#....##.###.##..##.....##...#.##..##.#.#.##..###..#.##..##..##...##.#...#.#..#......#.##....##...##.#..#..##.##.....#..##.###.#...##.#######.........######..#...##.######.###.##.#.#.#.###.##.##...#.#..##.......##..###.#.######........#.#####....##...##.###..#.#.#..#.##....#.##.#.##.##.###.#..#.###...#..#....########.....##.#..#.#.##..#####.#.###.###.#.....#.#..#.##.######...####.#.#.#..####.##......##.#######.###.####.##....##.#########.##.#.#######...#.#.#...#.#...#.##....#.#...####..###...##.#########......#.###.###.###.......##.##..###.#..#.#####.##########.#.#..##.#..#.#.#.....##.#.#.#...##..###...######.####.##.#.#.##...####..#.#####...##.#.##.#....##.....###.#..##......##..###..#..#.##.##.#.###.#.#..#######.##########....##......###...##....#.######..#.###..##.#.#.##..####.##.##.#.....##.#.#....###.####.#.#..######.#......#.#####
##.##.........##..#....##.#.#####.##..##.##.####..##.#.#.##.......#####.#..#.##.#.##.#####.......#.#.##..##..#.#.####.###.#.#.####.###.#..#####....#####.##.###..##...#########.#..#.#####..#.#.#####...##.#..##.#####..#..###.#.#.##...#.####.#..#.####.######.##.#..##.###.#.###.##..#.#.#....#.#...##.#.##......##.#.####......####.....###.#...#..#.#..######..#.##.##.#..####.#..##....#.##.###....##.##.##.#..#.##########.##.#..#.#####.#######..##.##....####.######.##.##...##.########.#.#..####..##.#.##....#.#.#.#...#.#######.##...#..##........###.#....#.##......#..##..##....#.##.#####.....#..##....#.#...##..#.#...##.####.#.#.###.#####.#....##..##.#.##....#...##.####....##.#.....###.#.##########.#.#.##........#.#.##....#.####..##.#.#.#.#.###........#####...#.########.#.#######.####.####.##.#....#######.#.##.#.####..#####...#.#####.###########.##...##..###.########......##...##.....##.###..##########..#.####.....###.#.##..##..#.#.###..#########.#.#.####.#.##.####..#..######...##.#.###.####.#.#.#
#..#######.####..###.#..###..##....##.#..#....##.##..#.#.###.####.#.....#.##.#..#..#.#.##..###.###.#.###..##...#.##....##.###...####...####.##..#.##.#...##...#######...##.#....#.##....###.#.#..##...###..#######.#...###.#...###..##.##...##...####.#....##.####.##..#...#.#...#..##.###.#.##...#.#.##.######.##..#...###..##.#....##.#.##...##.###.#.##......##.#..#..####.##...#.######.#.##.....##########..#.##...##.......#....##...##.....##...##...##.#....#......#.......#.##.......####.##..####....#.###.###.#.#.#.#....##......###.##..#.#.#.####.#.###.########.###.##..####.#.###....##..###...####.#.#...#####.#...#..#..##..#####.......#.#.######.####.##.####.####...##.##......#.#######..#.###.###...#....###.##...#.#..#.##.#######..###.#.#.....####.#...##..###.....##..........##....#.###...#.#.##...#.#.###.####....##....##.#.####.........###.....#.#..##.##.....##....##.#..#.#....#.#.##.####.........#######..##.####.#######.#..##.#...##......###..###..#.######.#..##.#.###...###....###...##.#.#.#.#
#.##.###.#....##.#...##..###.##.#.######.##.###..#..##.#.#......#.###.#.#.#####.####....##.##....###..##.##..#.#..###.##..##..#.#....#..##.....##.#....#..###.....###.####...#.##..##.###.###.######.###..#####.#....#...#.###..##.########.##.#.#.##.#.##..#.#....#..###.##.#########...#.#..##.#######.....##.###.#.#...#.#####.##.####.##.#..###.#####..#.#.##..#.##.##....####.###......#.##.##.#####.#...#.##..#.#..###.#.#.##.###..#..##.#.##..#..##.##..####.##.#####.#.#########.#.#.##..#..##...#####.###.....#######.#.#.##..##.###.#####...###......#.##..##............##....#.###...#.####...###..#.#####.#..##.#.##.##########...####.#.##########.##...##.##....#..#.#.#..#.##.##.#.###.....##.........#.#.##.#.######.#...##.####.......##.##..#.#.#.#....###.#####...#.#####..#.#.##.###..#.##.#.#.#####..#.#......####.##.##..######..#.##.##.#.##.###...#.#.#.#####..##.#.#####.###.##.#.#.#.##.#..#...##.###.###......##.##.....#.......#.#.#####.####.######.##...##......##....###.......#..###.#...#####......#.#
#.#........####..##.##..##.######......#.#....##.##..#####.##.###.##..###...##.....#.#########.#.#...###.##.##.#.##...###..##.#.####.#.#####.#..####.#.##.##..#.###.#.#..#.#.#.#..######.......##.#....#.###......####.#.####..###.......##..###......#.##.##...####.##.#..#......#.#..#.#.##..#...#.#.##########.###.#.###....##..#.#.#..##.##.......####.#.#####.##########.#.##...##.##.##.##.##.....#...#.####.##.##..######.#....##.#.###.#..##.#.##..###...#####.....#.#.....##.##.#.#....#######.##......###.#.#####.#..#.#....#####.#...##..#..##.###.##.###########.#.#####..##.#######.###....#..###......#######....##...#####....###.##.#..##.#......##.#.##.#..##...##.######.##..###.....######.##.###.##.#.#..#......########.#....####.##..##.####.###.##...#....##.######.###.#.#..#...#.##.##........###.#.#.#.####.##.######......##.####....#..#...#.#.#.#.#.....#.##..#....##.#.#.##.#.#####..########..###..###.###.##.##.#####.###########.#....##.........###.##..##########...#.########...#.#.###.###.######.#
####.#.#.#.#....###..##.......##..#.#.######.##...##.###...##...####.##...###..#.###.......##..###.#.#.#..#.##.#.####...##.##.#...##.#.#.....#.##....#.#..#..######.....#########...##.#####.#....##.#.###...#.#.###...#..##..##.#.#.#.#..#.##...#.##.#.##..##.##.....#.##.##.##.##...##.#.##.##.#........###.###...#######.##.#..##.#...##...###.#####....#...##....#.##.....#....#.#...#.#..##.##.#.#...###.##...##..##..##.#..##.#..###.##..#.###.#.##.##...#.....#.###.#.##.####..######.##.......#..##.###...#.#....#..##.#.##.#..#.##...#####.#.##....#.....##.........#....##.##......##....#.#.###...##.###....##.###.##..###.#.####......#.##......#.##..#.#.#####..#.#........##..##...#.##.##....#..###....#.#.##.#.#.#.###.###.#.##.#....#.###.#....###########.#.##.##..#.#.#...#.####.##########..#.#.####.###.#.#...##.#.....##..####..#.##...#.##.##.#.#.#.#.#.###.###..##.#.#.##....#..#.#.....######....##...####.###....................#.#.##.#.#.####.#.####..##.##.#######..##.#.........######.#............##..#
#..###.#.########...##..###.#.##.##.####......#####....######.#.##....##.#####.#...#.#.#.#.###..##.#...##.####.#..##..#.##..#.##.###.#####.#.#..####.####.##..##....#.#....##.#...#....##....##.####.#.#####.#.#.#...#.#.####.#....#.#.##.######.#.########.##..####.##.##.##..#..##.##..#.##..#.#.##.#.#.........#.......#.#####.####.#..##.##.......####.#.#..##.#....##.#.##.##.###.#.####..###..#####...#####.####..####....##..##.###..#.##.##..#.#..###.##.##.##...#####.......##.#.##..##.#.#.##.##..####.#####.#...##..#.#####......#.##.##.#..##.###.###.####.##.#.###.####..##.#.#..##.#####.#.#.#.##.########...##..##.........##.#.##.#.##.###.####..######.....####.##.#.###..##..#.#..#.#..#.###..#####.#.#..#.#.#.#.........###..###.##...####.#...##..#..######...##.......###.#....####.#.###.##.#........#.#####......#.#####....######..#.#..#.####.###.###.##..######..#.###..#.##.#####.##..###.#.####..######...#.#.###.#.####.###.#........#.#.#.##.#....#.##...#.......#.#####.###.#.#....######.##.#.##.#....##
##.....###........#####...#.#######....#####.####...#.###.....#.##.##..####.#..#.#.#.#.#####...##..#####..##...#.##..##..#.##.#..##...##...#.#.##.#...##..#..#####.##.##.###....############.#...##..#.#.....#####.#.#.#....#.##.#.#.###....##...#.....##....##.#........#.##.##.##...##.#..#.####.##.####.###.#########.##....##..##..#.########.#.#.##...#.##.##.#.##.##.###..#....#.#.#....#####...#####....##...###...##.##..#.##..#...##..#..##.####..##.##..####.#.##.######.#.......##..#.###..#..##...##..##.###.#..##.#..##...#.#.##..#.##.#####...#..##..##..####.##..##.#######.#.###...###...###.#....###....########.###.#.####.#..#.#.##...#....##....##..#.#....#..########.###.#.##.#...##...##....####.#.######.#.#.##.#######.##...#####....#.#....##.##.#.#######.#.#.#####.#.##..........#.##.#.#.######...####.#.#.#..##.#.##......####.#.##...####....##..##......##.#..#####..#..##...###..........##........#.###...###....#...####.#####.#.#....#.###.##..##.##.#.#.#...#.###...#.########.###...#####..##.#..#
######...##.#.#.####....#####.......##.#........#####.#.#.###.####..####......##.#####.....###.###.....##..#.###..##.##.##..#.##..#.#.##.#.#.###....#..##.##.##....##..#...##.#........#.######.##..##.###.###.....###.#.#########.#..###.#####.##.#.####.##..######.#.#.#..#.##.#..#.##.##.#....####..#.#..######.#...#..##.###..####.#.......##.#.#..#.#.###..####..#.##...##.#.######.####.....##.##...#.##..#.#..###.##..##.##..##.##.###.######....##..#.##.####..#.#...#######.##.######.#...#.###..###..##....##..############.####..##....#..###..######..######.....##..........#.#.#...#...###.###.##.#.....##......##....###....###.##.#.##.#.#.##############.#.#.###....##.##..##.#..#.#.###..#.##.##...##.##########.####.......#.#..#....###.###.##.#..........#....#.#.#...#.#####..#.##.##########.#......#.#....########....#.##.#.##...##.#.####...###.#.###.###.#.####.##.....#.##.###.#...##########..##.#.#.#.#########...##.#.#....#....##.####.#.#..##..#.###..#.#.#.#.#.#.#.##.#####.###.#.#.######.#####..####
#......###########.####...####.##.###..##.#.#####.#.....#.#......##.#....#.#.##.....##.#.#.##....##.#.####.#...#.###.##.##.##.##.##.#..#######...#.##.######..####..#.##.###..##.###.#......##..#..#####....####.#.##..#..##.#.#...##.#......##..###....####.##......#.###.##..#.#.##.##..#.#.##....##...####.#......###.##...##.##.##.###.#.#.##.#.######..###...#######..###..#......#.#....#.###..#..#.#####.#.#.##...##.##...##.#..##...#.##.....######.###...#.#.##...#.....###..#......###.###.#.#.##...###.#.####..#.#.#...##.....#.##..#####...##......##.#......##.####.##.###.####.##.###.##.....#.##.#.##.##..########.#...#.##..##.#..#..#.###..#........##...#.#..##.##.....#.##..####.#...##.#.##..######.##.#.#...#..#.############.##.###.#..##.####.#.#.##.#...##.#.#.#.#....#.#####..#........##..#.#.#.##.#.#.###.#..###.############.##..#....#.#.#.#.#..####...#.##...#..#.######.##..#.#...###...########.#.#.........#.#.####.##.#.#.########...#.#.##..##...#.####.#.###......#.................#.#...#..##....#
##.#.#..#.##.#.#........#....#.##...##.####..####.###.#.#####.#######.######..###.#.##.#.#..###.###.#..#.###.#.#.#.#.##.##..###...####.##.##...###.#....###..##.#..##..#..###.#...#####.#.###..##.##..#..#.##....#.###.##......#.#..#.##.######.##...####.....###.#.##...####.##.#..#.#..##.#..#.##.##.#........######.#..###.##....##...#.#.###..#.....###..##.#.....###.###..##.#.#.##.##.#.#.#.##...#####..#####..#.#.#######.#####.##.###..###.#....##...##.#...######.#.#####.##.#.#.##.##...##...#..#.#.#.#.#.#..##.......#.###.#.##..##.....#.#.####################....#.#....###.####....#..####.##.#..########.....##...#.###..##..#.##.#.##.###.##.###.######.##.#.########.#.#..##...##.#.######.###...##.#........#.##...........##...##.....##.#.....#.###..#.#.#..#######.######..#.##.###.##.##..##.#.#.#..#####.......##....#..#.#....#####.#.#.##.#.#...##....##.##..###.#.##.##.#.#####.#.#.#.....#.......##.#.#.#.#.##.####...##..#.#.#..###.#.#####.#.#..##..###...####.##..##.#.#.##.#.##.#.#.#.###...#.#.#####.##
######.##......##.#.#.#.#.#.##..##.##....#####........#...##....#.##...##....##...###########.....#.##.....#.#.#...###...#.##...#...##.#.....#..##.###.##...##....##..##.##...###..##.###...####...##...##..##.#.#...#.##.#.#.#####.#.#...###.#..#.#....##.#.##.###.##.####.#######.###.##..#.##..###..#.##.#.#.....#..########..#.####.##.#..###.#.###.#...##..#.#.#...#.#.####..#.######..###.#....#.......###.##.##.#....##....##...##...##.#...##.#..##.##..###..#.#####........###.########.##..#.##.###...###...##..#.##.####...####.####.####.#.........##...........#.##.#.##..##.#.####.###...##..#.##.......####.#.##.#.#..######.##..###.##...#......#####.##..#.#....#...#.####..##.##..#..#.###...#####..#.###.#.##..#.#.##.########.####.#.###.##.#.##...#.##.#.##......##.###.##.##..#..##.##.###.##.#.####..#.##.#.##.#####.##.##...#.###..#.#.######.###..##.####..#####..#.##.........##.#.#.##.#.##.#####.##.#.#.#####...##..#.##.#######..........##.#.##..##..##.#...####..##..######.####.#####..##.#####.#.######
#.#.#...##.#.#..#.#.#.#.#.#.#..###.#######.##..#.#.#.##.#####.#...##.#..###.#####...........#.#.#.#..#.#.#.#.#.###...##.#######.#.##########.#.##...##..##.#####.##..######.#...##.....##.#...###.#####.##.###.#.#.#####..#.#.##....###.#.....#.#####.####.#.#......##......###.#.#..##..##.#..##..###.#..###.#.#.#...###.....##.###.####..##...#.#...#.#.#..##.#.#.##.####......##....##..##...#.#.##.#######...##..###.##.##.##..##.##..#..###.#.##.##.##..##...##......#####.##.#######.###.#####.#..#.#...#..##.#.##.##.#.....###....#..##....##.######.#.###.######.#.#####.#..##.........#...#.#..#.##.###.##.#....#.#.##.#.##......#####.#....##.#####.####.....#.#####.#...#.#...######.###.##.....#.#...####.#...#.#..##.#####......#..#..##..#.##...#.#.##.###.####.#####.####...........#####..##...####.#....##....#.###...#.#......##.##.....####.....######.##...#.##.....##.#####.#.#.##.##.###.##.###.....##..#####.###...#.##.##.##...#.##..#.##.##.##..#.#..##..##..#.#....##..##......#.###..######.##..#.#.........#
#.....#########...###.###.#.#.###....##.....##.#.#.#.#....##..###.#..#.##...##....#.#.##.#.####.###.####.#.###.#...#.##....##...#..##.#......#.###.###.###.#.##...##...##.###.###..##.###.#.#..##..##...####...#.#....###.###..######...##.#.####.#...#.#..#####.##.##.#.##...#.#.##..#.##..#.##..##...##...###.#######.#.######........##..##.#####.##.#.##.#..#.#.##...###.###.###.#####..#.#.#.#.##.........####.####.####..##.##..##.###..##.#.##.######..#.#..##.#.#..##.#######.##.#.#.#.###.#.#.#####.##.##..#.####..##.##.##..#.##.##..####.......#.#...###......###.#...####..#####.####.##.#.#######.#.####.######.##.#.##.#.##..#.######.##....###......#.###.##....########.##.###...####..#.#.####.##....#.#.####.##...####.#.#...#####..##..##.##.#.#...##...##...######.###.#.#####.....##.##.#.##.######.##.#.#######.##.####.#.....##.##....#.#.#...##...#..#....##.##.##....##.###..###...##.##..##########..##.....#.#.#..#.####..#....#######..#..##.####.###.###.#.##.#####.##.##.#####.##...#..#..#.##...#########
########..#.##..#.##....#.#.#.#...##.######....#.###.##.#..##...#.##.#.#..#..##.#.#.#..#####.#...##..##..#...####.##..##.#.##.#.##.##.##.##.##..##.##....###.#..#..#.#....##...#####....#####.##..#####....###.###.##..##.####.##.....#..#.#......##.##...##.....##.##.#.##.#......##.###..##..##..#.#..#.###................#.####.#.###..##.....##..#.#.##.##.#.#.##.#...#.#....##.##.##.####.#.#.##.#.########.###.......##.##.##.##....##..###.#......###.###.##..####......#.#.#..........#...#.###.#.###...##.#....####..#####.#########....##.###.##.##.####.#.##.....#.#..####.....#..#####..#.#...##......##.....##..#.#..#.#..##.....##....##.#...#.##.#####.#####.#.......##.#....#.#....##.###...##....#.##.#...####..#....#.#.##.####.####..##...#.#.##.###.#..##.##.##.....#.#.....##.#######..####..#..#####.#.#.#...#..#.#..#.#.#.#.##..###.####.#.####.#.#.##.####..####..#.##....##..##.#.##..##...#####.########.#####.#.##...##.##.##.......#.#####..##...#.#..##.#.##....##.#..#######..##.#...###....#.###.#.....#
######.#.##.#..######.#######.#.#..#.#......#.##.##..##.#.##..######.#.#.##.##..#.###.###.##...#..##.###.#.#..##..#..###.#.#..#.##.#.....#..##.##..#..####.....##.##.#.#.##..#....##.##.....#..##...##..#.##...##...####.....#.####.#.#.####.#.#.###.####.####.#.##.#..#..####.#.###....######.###.#.##.#...##.##.####.#.#.###..##########..##.##.#..##.#..#.#..###.#..##.##.#.##.##....##...##.###.#..#...#..#.....##.#.#.##..####...###.#######..#.#.#.##.....###..##..##.#.###.#.#.###.#.####.#######.#..####..#.#.##....##...#.###.#.##..##.########..####....#####..##.#####....#.#.####..#.###.#...#####.#.#.##.###..#.#####.#.#.###.##.####.#.##.##.########.#...##.####.#.#.##....########.##....##.##..##.#.########.#####.#.##.#.#....#.....##..##.##.#.##...####.##.##....##.##.##.#.##........##..#.#.##.##.#.###.....######...##.###.########.....#####....#.####...###....##.#..##.#..##.##.#..####..###........##.......##.#..#.#.##..###..##.####...##..##..#...##.##.#.#..##.##.##....#.#..###.#.###.#.##....##.#.#####
#......#..#.##.#......##.#.##.#.##.####.#.#.#.##.##.##..#..##.#.##.#####.##..##.#..##.....##.#.##..#.#...####.##.###...#.###.##.#####.#.###.##..##.##..##..#.#.#...###.#..#####.#.##.##.#.#.#.####.##..######.##..#.#####.#.##.#....###....#.###.#.#..##..#.#..#.#..#.##.####..#...##.#.....##.#...#.##.######.##....#.#######.##.##....###.#...###.######.#.##..#####..#########..##.######.#..##..##.#.#...##.##########..##....##.##......##...##.#.#.##.#.#..###..##....#####.#.....###........###.#.#.##.#..####..###.###.#.#.###......#####.#.##.##..##..##....###.####.#...##.#.#....##.....#.#.####.#..#.#.##...#.####.#.#####.#.#..#..#.#.#..#.##...#.##.....#......##.#######.#...#...####..#.##..###..#.#.............##.#.##.#.##.#...#.####.###..#.#.#..####.###.....#.##...######..#.##.##.####...............##.#.##.##.#.######...##.###.###.#...###.##.#.##...###.#.#######.######..#..#.#.######.....#.#.#######.###..#.#.####..##...#.###...##.#####..##.##.##...#.####..#.##..##.###.#.##...#.....#.##.##........###
######.#.##.#..#.####.......#.#.#####...#.#.#.##.#...####.##.......##.#...##.##.##..###.###..#..##.###.#...##.##.#.#.###...####.#.....#..####..#####..###.##.#.#.#...#.##..####.#########.#####..#####.#.####.##.##....#######.##.#.##..#.##.###...#.######...####.#####....####.#..#.##.#####.#.#.#.#.....#.####.#######.##.#.#...#.####...#.#..##......#.#.###...##..####.#.....###......###.####.##.#.#.#.....##.#.#.#..##..#.##...##.#.#..##.###.#.#..###.##..###.#..##.###.....######..#.#.##............##.##...####.#...#.....#.####............#######.##.####........##.##..####.#..#####.###......##.#.#.#..#.#......#....##...#.###.#...##.###..#......##.#########....#######.###.###..#.######.#...##########.#.#.###..#..###.##.##.##....#.##..#######.......###.#.######.###.######.####.....###.###########.#..#.............##.#..........#.#.#...#.#..#.#..#.....#....#.##...#####.##.#####......##.####....##.....##.###.#.##.##..#.#...#.#.##.....##.##.##..##.##...##.####..##........##.#.#.##.##.##..##.#.##.##.#
#.............######..##.######.#.....###.###.##.#.#.#.....#.#.#.#....##.##..##.###...#...##.##..#.##..##.##...###.....#.###..#.##.##.####.##.###....###..##.#.###.###.##.##.#....#.#.###..#####.....#....##..##.#..##...#.##..##.#..##.#..#...#.#.#...#####.##.....##...##....####.#.##.....#.#.#.#####.#....##........#.##.....#......###.###.##########.#...##.####....#.#.###.##..#######..##...##.#.###.#.#........##..#.##..##.##..#######...#.#.#.####..##..#######......#.######.##.#.###..###.#########.###.###...#.#.##.##......#.##.#.#.#.#......##.##..##..#.#.#.##...##.###..##.....###...##.####.#.####.#.#.#.##...#####.#.#...###.#.##..##.###.#####...##.....##.#...##............####.#.##.###...#.....##.###...##.##..##..#.##..#.#.##.###.#.#.##..#.#.#..##.###..#.#.........##....#.#.#####....##.#...####.#.#.##.####.######.##.#.##.##.#.#.#.######.#.###.##.##.#....###...##..##.##.##.##.#..#..####.#.#..#.#..#.##.....#.##.#####.##.#..#.#.#..#.#..##.#####..#.##.#..##..##.##.#.###.#.###...#.###..###.##....#
##.#.##.#.##.##......##...##.#..#.###.##..##...#.#.#.##.#.##.#.###.#####.##.#####...#######..#..####..##..###.##...##.##...##.#.##########......#.##...##.##.#.##...##.##.##...##.......##..#.######...######..####.##.#...###.#..##.#..#.##.#.#.###.###......####.##..#..###########..##.#.######.##....##.#####.##.##...##.#.#.##.#.###.#.#...........####.#.#....###.###...##...##..##.#.##.###.##..#..##.#.#.#.##.#.###.###..##..###....##...#.#.#.#.#....####....##...#.#.##.........###..###...#.......#.#.#...#.#.#.###..####.#.#.##..#####.####.##.##...##..##.#.#####..#.##...#####.########.##.....#####....###.#.##.#.....#.###.#..##.#.##.###..##...###.#....#####..###..###.##.#.#.#..##.....###...#...##.#######.####.#..##..####..######...##......##.#.#.##.##..#..##.##.#.#.#.########.#..##...##......#...####.###.....####.##..####..######.###.##..##.#.##...####.##.#...######.##.....##.##.#.###....#################.######.....####..####.#.#.#####.##.....##.#..#...##..#####..#...#.#..####.#...##...######.##
##.###..#.##.####.#.##..#....#.##.#....##..#.#.#.#.#..###..#.#.#.....##...###..#..#.......##.#.##.###..##..#######.##..###.##.###..........#.##.#.#..####.##.#.###.########..#..##.###.####.....#.####....##..#####.##.###...####..#.####.######...#.#...##.###.....##.#.#######.#.##.###.#......#..##.###.....##..#########.###..#.#...#.#####.#.##.##....#.#.####..##..####..##.####.##.#.##...#..##.#.###.###.#..#.#.#.....##..##.#.#.####..#.###.#######.##..##.#..##.##.###..#######...##...#.#.##.#.##...#.#.#...#.###...###...#.#..##.....#..#.#.######.####..#.#.##.###.#.###.##...#.......##..###.####..##.#...#.#..#.#.##.##..##.#####.#.#....#####.###.###.##...####.##..##.#..#.######....#.#...###.#.#..#.......#....#.##..##....##......##.##..###.##..#.#..#.##.##.###.##.#.######...######..#.#.###.#########.#########.####...##...###...#..#####..##....###..#####...#.#.#......#..##.#.#####..#...#.#.####..##.......##.......#######.###...######...##...#.##.##..##.###..##.....##.##.#####....###.###..#..##.#####
#..##..##.#....####.###.#.#######.#.#.##..##.#.#.###.##...########.#.##.#...##...##.#.###.#..#.....##.####...#.###.##.###..##..########.#.##.##.####..##...#.###........##..#####...#######.##.##......##..##.#..#..##...###.#....##.#.........###.#.#.#.##...####.#####...........##...####.###.#.##...##.#.#####.##..###.....##.#.#.#...##.####.##..##.#####.##...##..##....###.##.........##.##.##..#.##..##############.#..##..#.#......#.##...#.##.......##.#..#.##..##...#######.#######.#.###.####..#.#.######.##...###.#.##.##.######.##.##...#.....##.#..#.##.#.#...#..#..##.##.####.##.#.#..##.####...##..#.###.##.###..#.#####......###.##.#.....#......##.##.#....#..##....####......##.#.###.#####.####.#.###.############.####.##..#.##.##..##.#######.#.##.###..........#.#..#.#...#...##.#.####.#....###.##.#..###.###.....#.####.#...###...###..#.##..##...##.....#.#####.###.########.###..##.##.#.#.#..#.##....#.#.#..##.#.##.....#.#..##.#......###.####.#..#####.#...##.####.#.###..#.#...##.#######...###..#.#.#.#
#.####.##.##.###.....####....##...#.###..##..###...######.....##...#..###.#.##.#.#..#...####.#.#.####....##.##...#.#....##.###...##.....#.####..##...###.#.########.#######...##..#.#.#.##..#########.####..#.##...###.#...#####.###.##.#.#######..#.#.###..#.##...#.....#.##.######..#.##.....###.####..#.#...##.....##.#.#####..#####.#.......#####..###########.###.###.#####...##.##.#.#..#..#..##.#..##.........#.##.###.####.###.##.###.##.#.#..##.####.#..####..##.##.#..........###..#.####....###.###.##.....##.#.##.....#.##....##..####..#.##.########....###.#.#...##.##......#.#..#.#.##.....##..###..##.#.###....##.#....###.#########..##.####.####..#.##.##.####.##.#####...####..#.#...###........#.#..#####.#....##......#..##.#..#.#..##......##..###....##.##.#.##.####.....#.#.###..#...##.##.#......#.#.##.#.#.##.####.##.####.#########..##.###..##.##..#.######..###......##..#...##.....#.#.#.#.##.##.####.####.##.####.#.#.....#####.##########....##..#.####.###...##..#.##..##...########.##..#...##.......#
#.#....#..##.#...#.#....#.####..#.#...##.#####...#.#......##.#####.##.##..#..#.#.##.#.#...##.#.#.##...#.###..###...#.##.##.#.###....#.#.#....#.##..#...###.##...........##..#.#####.#.#.###...##.###.....#.##.####.##..#.#.##......#.##.#...###.##.#.#..###.###..#.#####.###..##############.#.##..#....##.#.#.##.#.#..........###################.######..#.###...##....#.####..####.#..###############.###.#.##.##........####...##..##.#####..#.#.##..#......##....###.#..###.##.###.....##.##.######.#...#.####.#..#.#####.##.#.##.##..##....####.##.....##...##..##.#.##.###.###.###...#.####.##.#.####.#######..#...##.#.##.#.####.....###.####.##...##...##.#####..#..##..##.....#.#...##.######...##.#.##.##.##..###....##..###.#.##.##..#.#####..##.#.#..##...#.#.##...###..#.##...#######...#.####.##.##.#.##.#.#.#.#.......#.##.......#.#.....###.#.###.#...###.##.##........#####.#.#....#########.#####.#.#..........#...##.#...##..#.#.#.#.#.########.....#.##..##.....##...##.####.#.###..#.#..#.###.#.###.###.#..#.#.###
#.##.#.##..#.###.####.###....##.#.##.##....##..######.#.#..#..##....#.###.##.######.#.#.######.#..##.##...#.###..#.###...#.#.....#.##.###.####..##.##.############.##########...##........##.##......#.#.#..###.#...######.##.##.#####..#.#......#.#.##..##...##.#.#.....####.......#####.##.#..##.#.##.##.#.###..#.#.#.########..#.#.....##.#.#.#......#.##.#.###.##.####.#....##....##..........##.######..#..#.##.##.#.#....#.#..##.##.#..#######..##.#.#.#.####.#.#.####.#...##...##.#####...........#.#####.##.#.####......#.#..#.#######.#....#.##.#######.##..##..#.##...#.#.....#.#####.##.#..#............##...#.##.#.##.#.##.##.##.......##.##.#.####..#.#.#.#####..##.##.#.###.#.#..#.....#########..#..#..##.....#.####...#.#######.##....##.##..####..##.####..##.####.####..#.....#####......#.##.#..#.##.#.......##########.#######.#######...#.#.#####.##...#..##.##.##....####.######.####.##....##.#.##.#.#####.#.######.###..##.#.###.....###..##.######..####.#.#######.....#.#...##.#.####.#.#.#..##..##.##.###.###
####.#..#.##.#######...##.#.##..#.#...##.###..##......#.#.##.#####.##.#...####..##..#.#.#.#.#..#.##..#..#####...##...##.#####.##.#.##.#......#####.#..##.##.#............##...#..##.#.##.######.###.####.#.##.....#....###.##.##..#.###.####.#####.#.#..##..#.########.#...###.#.##...#.#.##.#####.####..#.#...##.#.#.#..........##...######.......#.##...#......#.##...##.#.#.####.#..###.######......##...##.##.##.####.#.#.#####.#..#....##....##.##..###.#.##.#.#....##..##.##..#.##.....##.###.###.##....##.##.#....##.##.##.####.......#.#.######...###.#...##..##.#.#..#.#.###.#.#..#.##..######.#.###.#.#.##..######.#.#..#....#####.##.####..#..#..##..####....###..###..###..##.#.#.##.#####.##.#.##.##.######.#######.###.##....##...##.#.##...##....##.##..##..###..#.#######.##.#.##...##.#.###..####.#..#.##.#.##.####.#.#.#.....##..##.##...###....##....##.##.##...#..#.####................##.#####.###..#...########.##...###.##.#..###.##.....##.......##...####.#.....###.#.#.#.######.##.#.......##..##..#....#...#
#....##.#.####.......#.##.#..##.#.##.##...##.#######.##.#..#...##...####.##.###....##.#.....#.##.###.##....####.##.#..#.....#.#..###..##.#.#.....#.##.##.#....##.#.#.######.#.##.#..#.##...##...#.....##.#..#####.##.###....#..##.....###.......####.##..##.#.#........#.#..##.###..#.....######.###....#####.#####.#.##.#######....#........##.##.######...#.######..#.##.###...##.#.##....######.#.#.###.#####...#..#########.##..##.##.#....#.##...##.##..#....#.#.######.##..##.#####.#####...#...#..#.##.....#.#.#######..#######.##.#.####.....######.#.##.####..#.####.#.#.#...#.##....#.####....#..##########......#.#.##.##.###...###.....##.##.######...##.##...####...##...###.###.#####.##.......#.##...##............#######.###.#..#.#####.##..#.##..###..##...##.....##.####..#....######...#.#######.#######.##............##.####.......#####.##..###.##..#...##.###.########.#.#####.##.#.##.....#...##.#.#....#.....##.#...#.##.#.##....##.#####.##.#.####.##......###...#.#.#.#...#.#.......###.############.#.#.#.#
####.######.#####.#.##.##.#.#######...###..#..##......###.##.#.##.###....##.....#.###.##.#.##..#..##..##.###....##.#.##.##.#####..###.####.#.#######..#....##.##.#.#......###.#..##.#.##.#####.##.#.###..#.##......###.###.########.#..#####.##...##.##.##..######.###.#.##..#..###.#.#.#..........####.#.##....##..#.#....#.#####.##.###.##..#.##......##.##....####.#.#..##..####.#..###.##...##.###..##...###.#.##....#.#.##.##.##..#..#.#######.#.##..##.#.#.##.#.....##..##.#.....##...#.######.##.##.##.#.#.#.#.......##.......#.####.##...#.#......#....###.##.####..#.#######.#..#.##....#.####.##....##.#.###########..#.#....#.#######.#..####....##..#.....#.#....#.#.##.#...#.##...........#.#.#.#.#..#..#.##.#########.##..#.#.###.##....##.##.######...##..#.#.##.##.##...######.##....#########..#.#.......##.#####.##.##.######.#..#.##.##.....#####....#.###.###.##........####.....#..#.#####.##.#.###..###.##...#.#..#.#.#.#.#..#.##.#.###........#.#...##.###.#.#.###########.#.#.#...#.###...#....####......###.#.#
#........##.#.....#..#.####.......#####...##.####.##.##...##.#.##.###.##.####.#.#...###..#..#.###..##.##.###.##.##.#.##.####.#.##.#....##..#....#..##.##.####.#..#.##.##.##...##..#.#.##....##.#..#...##.#######.#.....##....##..#..#.##......#.#..####..##..##....##..#.##.###...###.#.##.##.##.###.......##.#..##.#.##.###.#...###...##.##.######.#####...#.##...##.#.##..#.##....#.##......#..#..#####..###.#.#..##.#.........#.######.#####.#.###..#.##..###.##.#.#.#.#..###.##.#####.###.###.#######...###.#.#.##.####.##.#.#.#.#....#..##.##.##.#.#...##...#.#...####.....##....#.##..#.####...##..##.#..#.#.#......#.#####.##.#.....#.##..##....##.#..#.##.#.######.#####..###.###.##.##.#.#.#.####.#.###.##.####......##.....#.##...##...#.#.##...#..###.#.####.##.#..#.#.....#....#####..####.##.#..##...##.######.....##..#.##..##.#....##..#....###...#.##.#.#.#.....#..##.###.#..##..###.#.#####.##..###.##..##....##.####.##.#.#.###.##.##.#...#.####.######.##....###.#....##.##.##.#.#.#.#.#...##.###.#....######.##..###
##.#.#.#.#....###.##.###.#..#.#####...##.##..##...#...###.##.####...#.#...##..###.#####.###.#..##.###.##...#.##..#.#..###.........##.#.##.###.#...###.#.....#.##.#.##..#..###.###.#.#.#..##.#..#.##.####.##...##.#.#.#.##.##..##...##..##.#.#.#.##..#.######..########.###...##.#..##.#..#.#####.####.#.#.###########.##...#...#########...#.#.#..#.....##.####..###..####.##.###.#.#.####.#.######.....##.....#.#.###.#.##.##.###..##..............####..####....###.#.####...#.#...###..............###############.....#.######.#####.##.##...#.######.#..#.###.##.##....#.#..####.###..##......#.##.######.......##.#.......###..#.#.#....#.##..##.#..##.###..#...##.###.####.##....###...#.#.#.#...####..##..#....##.#.#....#.#....##.##..###.#####.###.#........###..#.####.##.##.##.....##.##.#.##.#.##..###.......###.#..#.######..#...#.###.#####...###...##.#####.#.#.#.##..######.###..####........##...#.#..##..##..#.#.####..######...#.##.##.##....####.#.#############.##.......##.###.#.#.#.#..###.######..##.....#.####
#..#.#.######.#...##..##...##...##..#....########.##.####.####....######.####.##....#.#.#.#.####..#.###..#.####.#####..###.##.##.##..#.#...##.#.###.#####.###.#..#.##.###.##..#.#.#.#.#.##..##.#.##.##.######....#.#.####.##.####.#########.#.#.###......##..###........####.##.##..###.##.....#.#....###......##..####..#...#.....#.#######.....###.#######.###...##..##..####...#.#...####...##.#.##.#####.#.#.#...#.###...#...####..###.########...#########.#######.##...#####.#...##.###.##.######.#.###.##.#..#.#.#.#.#..........#.##..##.##....##..#.##......#..##.#####.###.....##..##.#.#####....##.#.#.#.#..#.#.#######...##.####.#######..###.###...##.#.#....##....##.##.########.#.#.#.###....#.##..##.##.#..###.#.######.#######...#..##...#.###.##.##########..######..#..#.##.###..............######.#####...######....##...#.###.###.###.#...#.###....##..#.#.#..##......#...##...###.###.#..#.###.##..##..#.##....####....##..###..#.####..##.##.#.#..##..#.#...##.##.#.##############.#.##.....##.######..##.##..#.#
##.#.#.##.....###..##.#..#..#.#####.##.#..###.....#..#.......##.#....##..#.#..#..##...#...#.#####.....##.#..##......##..############.#.#.#.#..#..##........##.##.#.##...#.#..##...#.###.###.#..####.#....#.####.##.#..##..##..##......##....#.#...#.##.#..####.####.#.#...##..#####...#.###.######.#.###..#.##..##......##.#.#####........####.###.#...........#######..##..##..#.#.##.##....#....####..#.##.#.###.#.#...#.#.##.##....##..........#.#..##.......##...##..###...##..#.####.######...##.#.#.#.#......##.##########.#.#.#######.##..##.#.#######..#########...#.#....###.###..##..#.....#.#####...#.#.######......##.#.##..##.......##.####...#.#.####.#.####..#.##..##...##.#.###.#.#..##.#.##..##.##..#.##.##..#......####.##.##.###..###...#####...........##...##...##.##.##...#.##.#.#.#.#.#..#..##....####..##.##.####..#.#####..##.#.####.#########.#..##.###.##..#.#.##.#..#.#...#...######.###..####..##.#..##...##.######...##.#....##.##....#...####.#...####.##.#......###..####.#.#..#.#.........#.##..###...#
#..##########.#...###.##.##.#..##.###..##...##.#.###.#.#.#.###..#.#.####.#.#####.###.###.##....##.#.#.##.#.####.##.##..##............###.####.#.#####.##.#.##.#..#..##.##.#####.#.###.....#.##..##....#.##..#...##.##..##..#####.##.#.#..#.####.######.#.##.##.##...#.#.#..##..#.##.#.#...#......###...##.####.##..##.#.##.#....####.####.#..#.....##.######.#.....##..##..###.##.#.#..#..##.##.#....##....###.##..#.##.####..#..#########.#.####.#.#.#########....#####.##..#..##.#.##.#......######.........#.#.######....##...#.#......##..#.##..#.......##.....#.#####.#...##..##...##.###.#.#.#####.....#.#.#..##.#########..#.##.####.###.##..##...#.#.#..##..#.###..##..##.##.#........#.#.#.#####..#.##..##.##.#...#####.#.#.........##...########...##..#.#.##.#.####.####.######.##.###.##.#.#.#.#.##...###.##....##..........#.##...#.#.##..#....#.#.##.#.#####.##..##..##.###..#.##.#.##.#######.###...######..###.#.####.##..###.#..###..#.#.##...#.##...###.##...####.###..#.######.##..#.#.#.##.####.#.#.####..##..######
##..#.#.###...##.###..##.#..#.##...#..##..#..###..##.#.#.#...#.##.#.#......##......#...####.##.##.###..###..##..##.###..##.#.##.####..##.##...#.##.#..#..#..####.#.##...###.....#..###.#.##.#..##..#.##..##.#.#.##.###..##.....####.#.####..##.....#.#####........#.#.########....#.#.#.#.#.###.##...###..##....#.##..###..#.#.##.##....#...###########.####.#.#.#..##.##.##...####.##.#####.##.#.##..##.#...###..##.##..####.#.##.........#....###.#..##.......##..##.#####.#####.#.#....##.###..#.##.###.#.######.##.#.######.#######.#..##.#.#####.#.#.#.##.#####.....###.#.##.##..#.#....###.#...##..#.#.###.##..........###.##.#####.....#####.##.#.######.###.#.....####.#...#.#.#.##.#.#.###.....##.#..##.##.####.#...#.###########.#..#.#......####.####.#.#.##.#...##...##...###..##.###..#.#####.#..##.##.#..#.#.####.#.##.####.#..#......##.#.######..#.#.#.#.####.##..##..##..####..#..#...#.......#.#...##...###..#....#..##.....##...##.#.#..#.###..#.#.##..#..#........##.#...#.##..##.#.#########.#####....##.###......#
#..##.......###....#.##..##.#..###.##..#####.###.#####.#.###.#.##.#.#.#.#.####.#.#######.....#..#..###.###.####.##..##.##..#.#..#....###..#.######...###.##..##..#####.###..##.###...#.#.#####..##.#.#..##..#.#.#....#.####.#####...###....###.#.#...##.#..#.####.###......##..#.##.#####.#...######...##..#.#.##.###...##.#.#.....#.######...####......#..###.###.#####..##.###....#####.....###..##..#.##.##...###.##.##....#.##.#.##.#.##.##..##.#.###.#.#.#..##.......##.....#.####.######.##.#.##.#.###...####..#.#.##.##......#.###.#####..##...#.#.#.##.....##.#####..#.#...##.####.#...###.#.##.##.#.##...#.##.##.####.####.....###.#..#.##..###......###...#.##.########.##.###.######...##.##.##.#.##..##..##..#.#...........######.###.#.####.##.####.###.#..###.#..#.##.#...##.##...####.....#.#.##.....#.##.###.#..####....####.##.#.#.......#.###.##.#.#.#....#..##..##..##...#####.##.###.####.#####.###.#.#.#####.#.#.##..#.####.#..###.##.#.#...####.#..##.######.####..#.#.#..#.##.....#.#.##.......##.###..#...#.##.#
##..###.#.#..##.########..###.##......####...#...##....###...#.##.#######.#.#..#...###...##.##.###...#...#...##..##..###..#######.##...##.#.##.....#.##...##.###...##....#.##...###.##.#..##...#######.####...#.#.#.##..##....#.###..##.#.##...#.#.####.##.#.#....#...#.#.####.####....####.#.....##.#.##.##.#..###.#.#..#.#.##.#.#####.####.##..#.####...####...#...##..##....###.##.#.###.######.##.##.##..###...#.##..#.##.#########.#.#..##########...#####.####.#.#.###.########.#....................###..#.##.#.......##.#.#.....####.##.##..#.###.####.#.####.....##.#.#.###...#.#.##.######.##.##.#.###.##..#..#.##.#.##.##.####...##....##..##.##.###...#.####...##.##...#...#......#.#..#..#..###########..##.#.##.##.#######...##..##.#....#.##..##..######..####.##.#..#.###...#.#....#.#.#####.###.####..#.....##..##..#.##....#..#.##.##.#.#.#.#..........##.##.###.##.##..#....##..#........###.#.###.###.....##..#####..##..#.######...##.####.##.#....###.####.####.#.##.#...##.##.#####......########...#####.##..#.#
###...#####.###...#.####.####.#..#.#.##..#.#.#.#..##.#...###.#.##..##.......##.###...##.##..##.#...#.#.#.#.###..####..###..###.#..#..#.##.#..#######.##.#.####...####.#.####..#.#...####.#####.......###....#.#.#.###..####.#...####.#..#..#.#.#.#..#....#.###.#.####.#.#..##.....###.##.####.###.#..#.##..####..##...##.#.#..#.#..........#####.#....#.#....#.###.####.###.#.####.#....#.....#.####...#####.#...#######.###....#..##.#.#.##..........#####......#.#.###.#........##....###.#.##.#.#.##.#######....#.#.########.#.#.#.####.#..#..##.#...#....#.#..#...#####..###.##..#...#..#......####.#..#..##..#.##.##.......#.##...##.####.##..#.######...##.##..##..#..#..#.#.#.####.#.#.#.#.##.##.###.#.#.##.#.##..####..####..#...###..##..#.##....#.####....#.##...##.##.##.#...##.##.#.######.....###......##.#########..##.#.##.##.##.####..#.#.......###.##.####..###.###...##.#.##.##.##.##.#.#...........###.#######.....##..##...##.#.###..###.....#.###.##....#........#.#..#.#.............##.#....#...#.#..###..##.####
#...###.....##..#....##..#....#.##.#....##.###.#####.##.##...#.##.#####.#.###..#...#..#####..####.##.#.#.#..#####..#.##.#.##.....###.#.#..#.#####....##.#....###....###...###.#####..########..#.#.#..###.#.#.#.#...##.#.#..#.#...##.##.#.####.####...############....#.##..##.##.##........#...#.##.#..##..#.#####.#..#.#.#.####.##.#.######.##.#.######.#.##..##.##.....###.##.#.##.#...#.#......#.#....##.#.#..#.##.######.#...##....#..##.##.#.#.##.#####.#.##.########.#.#.#######.#####..#.#.####.......#.####..........#####.#..##....###..####.##.#.##.##...########..##.#####.#.#.##.#.######..#.###..##.#.##..####.##....#.#.#.....#.#..##...##...#..#.#..#######...####.#.###..#######..#.##..........#.#####.#....###.##.#.###.#####.##.##.##.#..#.##.#...###.##..##.#..###..######.....##.###...##.#.#..###..#.##.#######..######.....#.##.##.#.######..####.##.##....##.#####..#.##.#..##.#########.#.#...#.##.#.##.#.#.##.##..#........##...##.##...##.....##...##.##.#####.#.#.#.#.##.#######.#.##...###.####.####....##
###.#...#.#..##.#.#.##..###.###..#.##.####.#.......#.#...#####.##...##..#...##.##.###....##.###....#.######..#####...#..#..####.###..########.....#.#####.####...##..##.#...#.###...##.#####..##.###.##...#.#.#.#.####...####.##.##..#..###....##...#####.##..##...#.####..##..##.###.###.#######.##.#.####.....##..#.##.#.#.####.#..#..#.#.............#.#..#########.#.##...##....###.#.#.#.########.#.###.####.......##....#.#..##.#.#.##..##.###.##.#.##..#.#......##...#.#.###.........#.##.#..#.#.#.#####......#.##.#.####.#####....##...##...##..#.######..#.......###.##..###..#.#..###......##.####..#########....#.##.#.####.##.#.#####.#..#..##.###.#.##.......#.#...##.#...##......#########.#.#.###...##..######..................####.##..#.##.#....###..##.###.#..##.########....#.#.##.##########.##..###.......#.#..##....##..##.#######..#.####.##..#...##....#####.#.#...#####.##.#........#####.#####.......############.##.#####.##.#.##.###.####.##..##.########.#.###.#.#.#.##.......#.####.#...#..#...##...##..#
#...#.######..#####..#.##...##..##.##..#.#####.#######.#.#......##.####.##.#####..##..#.##....#.#.#####.#.##....#######...##......##..#####...##.##....##....##.####.##.#####.#...#......##..##...##.##.###.#.#.#..##..#....#.##..##.##...##.#..###........##..#####...###..##.##.#....##.....#####..#.##...#.#####.#..#.#.#..#.####.####.#.#####.#.###.#.##..##....##.#..##.####.#####.#.#.#........###.##....###.#.##.##.#.##.#####.#.#..##.##...####......##...#.##..##.##.#...#####.#.######.##...###...#######.##..#.#......#...#.##..#####..#.##.######.###.#.#.#.#...#.#..##.#.##.##...##.#.###.....##....#.##.##.###.##.#..#####..###.#.#.##.#.##..#.###.#..##.######.#######.####.#####.##.#.##.#.#.####.##..##......##.###.#.#.##.#.###.#..######..####...##..#.#.###.###........#.#.####.##....##.#....###..##.#.##.##.#.###.######.##.......##.#.......##...###..##..###....#.#.....#.##.###.##.#...###.....##.#.#.###.#.##.##.#.##.....####.###....#.#.....#.##.....#.##......#.#.#.#..##.#########.###.######.#..###..##.#
#.######.#.#.####...######.####..#..##...###.......##..######.#..###....##..##...####.######.##.#.........##.##.#.......####.#.#.####..#..###.######.#..#.##.#...#.#.##.....#.#.#.#.##.#..##..##.##..##...###.#.#.####.####.#.##.##..#..#.####.##...###.##.###.......#...#.###.##.#.##.##.##.##...##.#..###.###...#.##.#.#.##.....##............#.#...#.#####....#.##..#.##.....###.#...#.#.#.#.#.##..######.###...#..#..###.#...###..###.#######.##....#.#.####.##.##.##...####.##.....#......#..##.######...##.######.#.##.#.#...#.#.##.###########.......#...#.#.###.###.######.....####.#..#.########.####.###.....#######..##....###.......#.#..#..##....##.##.##.....##.##.##......#.............#.#.#....#....########.######.###..###.....##......##.##...#####.#.....#.##..#.######.#....####.#####.#.##...##..#.####........#....##...##.#########.###.#..#.#...##..####...##.#.#.#.#.#.##...#..#.#.#...#.#.#.##.#.###...........###..##.###.#...##.#.#####.#.#..##.##......##########.#.###.....#.##...##....#.#.####...#####
####.##.........##.##...##..#.##.#.###.#...###.#####..##......##...###.##..##..#.##...##......#.#.##.##.#.##..########.##....#.#...###...##....##....#.##.##.#.#...#####.#.##.#.#.###..#.####..#..##.#..###...#.#.#....###..#.#...##.##.#.#.#..##.#..##..#.#...#####.#####.#.######.#...#######.####.#####....###....#.###.##.#.#.##.###.###.####.#.#.#####.##########.#..##.#####....#.#.#.#.#.#####......#.####.###.#.###..#.###.#.###......##...##.###.####...##..#..#.#..##...#####.###########.......#.#.....##.####.##.#.##.######.........#.###.#.##...#.#.#..##...###......#.#..##..#.##......##...##..###.###.......##..##.#..##.#.##.##.#.##.##..##..###...#.#.####.....###.##.##.##.#.#.#.#.#.####.###.#.##.............#..##.######.###..######...###.....####.####.###.#......###.#.##..........#.#..#####......#.##.###.#.#######.##......#..#...####.#.#.#####....#.#..#.#.#.###.#.##.#.#.##.#.#.###.#.#..#.#.....#.##.#.####...##......#.#..###...##..#.#.##...###.##...##.##.##.#...#.#.#......####.##.#...#########..#
###.....#.#.###.##..###....##.##.#.##..##.##....###########.#.##.#.##...#.####.#####.####.###.#.#.##.##.###..##........##.##.#.#.#...##.####.#..####.####.#..###.#####...#..###.#.#...##...##.#####..##.####.####.##.#...#.##.#.#.##..#####.##.#####..####.#.#######.##.##.......#####.###.##......###.....#.##...#.##...#.#..#####..###..##...##########....##.....###########....##.#.###.#.#.....#.########....#####...##.#.##......##.#######.###...#.##...#..#.##.##.##.##.###...#...........###.#######.#.#......##.#######....###.#.#.#.#....##.#.##.#######.#####...####.#.#.######.###..#.#.####.####.......#.#####.##.#####.#####.##..###..#.###.###..##.#.#.#....#.###...#.##.##..#.###.#########...##.######.#.###.###.##..#......#.####....###.#.##..###...##...####...#.##.#######.###.##.#.#.#####..#.##.##.#.#.##...#######.#....##.#.#...##.#....#####....###.###.####.#.#...###..#.#.#.####.#...#.######.##.#.##########.###.###.#.#.#.####...#..##.#.#..##.########.##.....##.#.###.#.##.###..#.#..#...#....##.#.#.##
#...##.##.#..##..##..##.#.##.....#.###.##..##.#.......##....#..###..##.####....##.......###...#.#.##..#...######.###.###..#..#.#.#.###..##...##.##......#.#.##...##..###.##.###.#.##.####.##......#####....#....###..##.##.##.#.#..#.##........#.....#####.#.#...........#########.#.#........#######..###.#..##.##..########..#.###...#.##..#......###...####..#####.....##....##.##.###...#.##.#.##......##..##..##...#..#.#.#..##.###.....##.###...#.#.##.#.##.#.##.##.##.##..####...#.##.#.#.##.......###.#.#.#.##..###.#.#.##.###.###.###.#.##.#..#.#....##.#...#.##.#.#....###....##..####.#####.....#.##.##.###.....####...######.#...#.##...##..##...#.##..#.#.##.#.#.####.##..#.##.##...#...##.#..###.##......###.#....##..##.#.#.####...#####...###.###...#.#.#..###..#####..#......##.#.#..#.#####...#.##.##.######.##.####.#....#.##..#.#.#.#.##.##.#..#..######.#..##....#.###.#..##.######...##.#.###..#...####.#...#.##.#....##..##.###.#....###.##.####.##.##........#..#.###.##.#..##.###....##...#.###.###.#....#....#
##.##...###.####.##.#####.##.#.###..##.###..#.##.##.###..##.##...#.##.....##.#.##.##.##..##.#.#.#.#..###.####.####....##.##.##.###...##.##.###..#..#.####.#.##.#....##...####...#.##..##...##.###.####..##.##.#...#####..####.#.##.####.#.########.#..#..######.####.#.#..#...#.##.....#.####.......#.##...#.##...##....#...##.....##.######.#.######.###..#.#.##.###.#######.###..#..####.##.##.#.##.##.#####..##.#..#.#.##.###.##...####.###....#.#.#.#..###.#..#..#..###...#.##.###.##.###########.#.#.#.#####.#..##..##......#.......#..##.#..#.##.#.##.###....#...##.###.#.##...######...##...#####.#...##.#...##.#######..#........##.##..##.###.##..#.#.#..####..#.###...##..##.###..##.#####......######..##.####..###.####.######...####...#.#.#####.#...###.####..#..##.....##.#.##.##.#.####....####......##...#.#####........####.#..##.#.#.###...#.##...####....########.#..##.##.##.##.....#.####..###...#####..##.##.#....##..##..#...#.##.###....#.#....##.#..#.#.#.###....####..##..#.####.#####.####.....#.#.##...####
#...##.##...##...#....###.#..#..##.##...##.##..###...##.##..##.###.###.##.##.#.#..##..##.#..#.######...####.....####.###.##.##.#...#..#.##...##.##.#...##.####.###.#######....#.#####.##.###...##.#....##...####.####...##....#.#####...######..##.##...###.#####....######.###.##.#.#.#....##.########..#.#..###..##.#...#.#..##.##......####...##.#.#.#.##.#.##..........##..###.##...####..##.#.##..#.....#.######.#.#.##.##..#..###.##.#...#.##.#.###.##...##.#.###...##.#####.....##...#.#.#.#...###.......########....###.#####.#.##.##..##.#.####.#..#####.##.#..#..##.#..###.####.##.#######..##.#.#.#..##.##........########.#.###.##.##..##..#..#######...##.##.#...#######...#####.....##.##.#..#.##..###....######....#.....##.#.#.######.####..#.###...#######...######.#######..#......###.#..##..##.#.#..#....###..######....#.#.##..###..##.###..#.#......######......#####.##..#..##.#.##....##...#.#.....#.##.......######..##.##.##..#.#.###.#####.#..#.##.###.#.##..##....##.##.##.#........#....##.#.####..##.#####
#.###...###..#.###.##...####.#.##..##.###..##.###..#.#...##..#.###.#....####.#.#.####.##########.....#..#.##.####....#...##.##.#.#.##.###..#########.###...##...##...##....##.#...##..##.#...#..###.##.####....###....#..##.###...#.##.###...##.#..##.#......#.#..##.........#...#.#.#.#.#.##......#.###.#.##.#...######.#####.##..##.#####....#..#.#...........#.###.##.#.###..##.#..#....#.##..###..##.#.#.#....##..###..#####.##..##......###..#.#...#..##.###.#...#.#..#.##....#.#..#.#.......###..###.##.#...####...##...#..##.#############.#....#.##...##..####.###..#.##.##.....#..###.###.#.#####.####.##.##.#.####..##....###...###..###..#.###.....##..#.##..#.###....######....##.#.#..###..##....#.##.###.##......#####.##..#.#...............####...#..##.##..#....##...#..####.##.###...#.#.####..#.#.##.##.#...##......#.#.####.###...#.##....##.#.#.#.##......######...#.#.###.#.#####..##.#..#.###.##.#######.###.#......##..####..#.##....##..##...##.###....#.#..##.##.####..##.####.##.#.####.######....##.##.##..#
#..###.##...####....#.#..##..#..##.##.#...#####...#####.##..##...####.#..#.#.#.#.##...#.#.##.#.#####.##....#..####.#.###.##..#.#.####.####..##.........##.##..#.##.###..##.##.#.#..##.##.###.######.#...#.#.#.######.##.###.##..#....#.##..#.##...##..##.#.###...##..#.#.#.###.#####.#.#.#######.#....##.######.#..###.#.#.##...##.##.....##.#.##.#...#.##.#.##.....######.#...##..##.#.#.##.###...##..#.#.#.#.######...######.###..##..##.#...#.##.###.##.#....#.#.###.#.#######.####.####.#.#.######.#.########....##.###.#.##......##...#.##...##.#.#.#..#.###....######.####..##.#.##.####.....#.#.###.##...##.##.#######....##..#########...##.###...#.#######.##.##.##..####...##.#.#####.##...##.##.######..#########.#...#.#########.#.#####.#####.#..##.###.....####.#######...##.#####.##..#.#.#..##..##.####.#..#.###..#.#.####...##...#.#.#..##.###..#.###..#.####...##...###.#..##.###.#...##..#.##...###...#....#...#.###.#########.######..#.##..####.##....##.############....##.##....#.##.#.##.###.#.###.####.#.....##
#.##...#..#....##.######..#.##.###.##.#.#.##..##.##...###..####.#######.##.###.#..#.#.....##...#.#....##.#...##..#.#.#...##.##.#.##.....###.#..##.#.#.###..#.##.#....##.##..#.#.#.##..#..#.....##...#.#...###....##...#.##..##.##.####.###.#....#.##.##..#..####.##.##.#.#.........#.#.#.......########...##....##..#..#....#.#.#####.######.#.##...#.#..#.###..#.#......#####..##.##.#.#.##..##.#.##.####.###....#.#.#..###.......####.#####.#####.##...####.#.#.#...###.#..##...#.......###.#..##.............#.########..#..#.#.##....#.#.##.#.##.###.##.#...##.####.##...##..##..#.........###.......#.##.#.##.##.......###.##..##.####.######..#...#.#.##.##############....#.#..#.#..#.##########.#.......##...##..#.#.#.#..........##.#.....#.....#...##....##.##..##......##..####...#.#.##.####.######.##.##...##.######.###..#########.##.###.###..##.##...##.#....#####..#.....##..#.....#.#..#.##..##.######...########.##........##.......##.#####.#.##.##.#####............#.#####.##.####.##.#............#.##.#.#.#.#.##
#.####.#.##.#.##......##.##..#.#...##.#.#....###....######...##....##......###########.#.##..#.....#.##..###....####.#.#..#.####..##.##..##.##.####.###...####..##.######..##.#.#.###.##.#.##.##..#.#.#.#...####.##.#.#.###.##.##..#####.####.#.#.##..##.####....##..#.####.##########.##.##.#........#.#.#####.###...###.#####...##.......###.##.########...######.#######.##.##..##.#.#..#.#####.##.#.#######.#...#.##.#.#######.##.......###.##..##.#..##..#.#.##.######.#####.####.##.###.#.##..##.##.####.##.....##...###.#.#..#.#.##.#.####..#..#####.#.#.#.......####.##.##..##.##.####...##.###.##..###.##.#..##.##...#.###..............##.#.#.#.#.......##.....##.#.##.#.####.##.....#......#.##.#.##....#####.....####.#.#.#####..#.#.###.#.#.########.###.##.##..#.#.####......#...#.##...##...#.##.##.##.#.##......#...##......#.####....#...#.#####..######.############.#.####.##.#.##.#.##.##.###....##..#.....###..####.##.####.##.##.##..#.#....##..#####...############.....###.....#..###.###.##.#######..#.#.#.#..#
#...##.#.####.##.#.#.##..#..#####.#######.##...#.#.###.....#..##.#####.#.#.........##..#.###.###.#.#..##.##..##...##.#.##.#...##.##...##..###..#......##.###...##......###..###.#..##.#..#.#..##.####.#.#.#...##..#.#.#..##.##..##...##.......#.###..##.....##.#.##.##....#....#.##.##.#...####.##.######.#.....#...#.#.#...##..#.##.#.#.########.......##.#...#.####.#......#####..#.#.##.#.##.####.....##...####.####......###.#.###.##.#......####..#.####.#.#.#.....###..##...##....###.#######.#...#....#.###.#.#####...########.######..##..###...#.###.###.#.#.#..######.##.##..#.....######...#.###.###..####..#..#.#.#...#.###.########.##.#.#.#.##.#.##....#####....##.....##..#.#.#...##.#.#.#..#..##.#.....#.#.#....#.#.#...######.#..####.#....##.##.##..##..##.#.#.##...##.###.#.#.##.###..#....####.####.#..#.##.#.###..#.##.....###.###.######..##....##...........#.#.#.##...##.#..###.#####...##.#..##.#.#.###.####.##..#....#.#######..##...######.#.....#........##.######...#.#.###.##...#########.#.###.#####.##.#
#.#.####.#.##.##.#.#.######...#.#..#.#.#...##.##.#.#.##.##.#.##.....######.#####.#####.#...#.##..###.#######.##.#..######.##.##...##.##..########.#.###..#.###..###.##...##.#...#.##..#.#####.##..##..#.#.##.########.#######..##..###..####.##...##..###.###..###..##.####.##.......#.#.#....###.......#.###.#####.#...#.#####.#.##.#.#.....##...#.##########......#.#.##.#.##.##.######..#..#.#.##.#.#....####......##.#.###.......#.#..#.#.##....##.####...###.##.##.....##########.###.....##.####.###.###...#.#.##....####.#.######.##..####..##.#....##..##.#.#.##.#.##...##.###.##.##......##.####...#...####..##.####.#.#.#..##...####.###..###.#..#.#.##.####.####.#..##.############.#.########.##.#####.##.##.###.##########.#.#.##.##....#########..#..##.##.##..#.#..##.###...###.#.#....##.######....#.##.#.##.##.#..##.##.########.#.##.........##..#.####.###.#.##...#.#..###.##.#.######.##..###..#.##..######...###.##.###.#.....#...##..###....#.#####.#.##.##.##.......#####.###..##..#.#.........#...#......##.#..#
#.###......##.##.#.#...##...###...##.....#.##..###...##.#..#..#.#.###........##....##..#.###..##.#...#....##..#.##....##..#..###.##...##.....##.###.####.....##...#..#.#.##.#.#.#.##.##.#.#....##.#..##.#.##.......##....#.#..####..#####....#..#.###.##...##.#####..#..##...##.######.#.#.######.#.#.#.###...##....#.###.###...#.##.#.#.#######.##.......#.##.#.##......###.#.......##...###......#.####.#..#.###.##.##.#.#...#.#.#.####.#.#####.#.##....###..##.##.###.#.##.####.#.......###.#...##....######.########.#...........##..##.##..##.##.##.###..##..###.##....##.###...#.##.##########....##.##.#..#.#.#####..#####.##.##.#........##.##..######.##..#......###.##..###..####.####......##...#.....#.##..###.....#.####........#####.#.......#...#####...#.#..##.##.##...#.#####.###.##.##......##.#....#.#.##..#.####..##..........####.#.########.##.##....#########.#.##...######....##...##..##.##..##........###.#..#.#.#.#.#.#...###..##...##....##...#.##..####.#.#####...########..####.###.#####.#...###.#####.##
#..##.##.#.##..###.##.####.##...#..####.##.###...#.#.#..#.##.##.#...#######.##..##..##.#...#.#######...##.##.####..#.####.#.##....##.##..#.###.........#.#.#.##.#.#.##.##########.#####.#.###.###.#.##..###..#.#.#..#.#.##...##.#..##.#########.#..##.##.#.##.#.....###..##.##......##.#.#..###.###.###.#####.#..##.#..##...##.##.##.#.#.##.#.#...#.#####...#########.#.########.#.#..#.#..###.#####....####.....#..#..######.####.#..##..#.....#.###..#.##...##..##...#.#..#.#......#.#.#...#...###..##.....####...##.####.####.#.#..#.###.#..###..###....#.####.##..##.#.##..#...#.#.##.....####.##.######..##...#.......##..##..#..#.#.#.###########....##...##...#.#.##....##.#.#.##.#...###.#.####..#.##.#.##.##.##...#.#....#.##.#.#.####..#.##.##.#...#...#.##.##.##.##..#..##.##.###.#######..#..######..#.#.##.####.##....##..#.#.#.#.######..#...##...####..##.#.........#######.####.##.##....#.##.##..##.##..#####.##.....##...###.#.##.##.#######.###.####.#.#..##.##.#.#.......#####.####.###....##.......#.####..#..##..#
#.##...###.######..##...####..#.#.####...#...#####.#.##.#..#.##.#.#..##......####..##..##.#####...###.#####..#.##.##..#.###..##.###..##.##...#.#.##.#.####.#..#.#.####.###...##....##...#.......###.##.##...####.#.##.#.##.#....##.##.......#.#.####..#..#..######.##...###..###.#####.#.##.......#..####.....##.#..####..#.####...#.###......##.##.....###.....#.#######..##.#..########.##...###########.###.###.##.##......##...#.####.#.#.#.#..##.##..#.#..##.###.####.##.##.#.#.#.#.#.###.#...#.##..###.#.##.###...##.....######.........##...#####.#.#.##.#..##.####.##.###.##.#.##.#.#.......#...#.#######.##.###.#..##.##.##.######...........##.#.###.##..#.#.####.##.##..........#...########.#####.#..###...#.#.###.##...##.#.#.##...##..#..####.######.####..#####.#########......#...###.##......##.#.#.##....###..#.####.#.#.#.#...#..##.###.#..#....#.#####.#.#.##.######.........#.##.#.##.##.#####...##.....#....##.##..##########.....##.......#..##..#.####...#.####.#.##..........#...###.##..#.#.#.#..#.##...##..##
#..##.##......##..##..###.#######.#....#.#.#..####.#.#..##.#.##.###.#####.#.##..##.###..###.....#........###....#####.#..#####...###.#..#..########.#....#.##.###.##.#...#.#....#.#####.#.#.##.######...###...##.#########.##.#.##.###.#.##......##..###.####......##.#...##.##......#.#.##.##########.####.#.##.##....##.#..##..###..###.##.###..###.###...#####.#.##.##.##..##.#####.#..#..#.............##..##...###..#.#.##..###.#....#.###.##..#.##.##.##.##.#.....##.##....#.#.#.#.#...#.#.#.#.##.##......#.#.##.####.##.....##.#.#.#.######....####.#....##.##....#.##.##..##.#.#..#.#.###.#.#.#....##......#...####.....#.##...##...###.#.##.##..#..##..##.######.###..##.#.#.#.#.####...##...#.....####.####.##.#.##...###.####.#....###..###....#.#.##.#.#..####.........#.#.#.##.#...#...###..#.####..#.#.#..##...##.#...##.#.#.#.#.#...###..##...#########.....#####.....#.####.###.##..###.#####...##..#..##.######.##...##......##....########.#.##########..##..#......#.#.##.#.##.#.#.##.##...###.#.#.#.##....##.##..###
#.##..#..#.######..##...#....##...####.###.##....#.####..#####....#.#..##.#....##....#.######.####.#.#.###.#.##.....#.##.......#...#.##.##...##.....##.########......#####.#.####.##....#.#.##.....##.#.#...###.....##.#...##.#.##..####..##.##.##..##.#....##.###.##.#.#..#####.##.####.##.............#.#.###..#..##.#..#.####...##..##.##...##..##..########...#.#......#.#####.#.#.#.##.##.##.##.#.##.####..###...##.#.#..##...######.#.###..#.##.####..#...#.###.#..#..####.#.###.#.##.##.#####.##.##.##.#.........#.###..#.####.#####...##...##...##.##.#.#...###.##.##.###.##.#.#.##.#...#.######.#####.#.#.###....#.########.#..#.#...#.#..#..##.##.###.#####.#...####.##.#.###.####...#.##.#####.#..##.....#.##.#..##.####..###.#.#.#####.#.##.###........#.##..##.###.#.##.....##.##.##.#.##..##.#####.#.#.##.####.#####.###.#.#.#.####.##.#.#######.#...#######.....##.##......#...#####.##......##.####.##..#..##.##.##.#..##.########.######.##.#.#...#.#....####.##.##########.########..######..##.#.#######.########...#
#..##.##.#..##....##..#...#.########...#####..##.#.#....####...#.##.##....###.#####.##....##..##.#.#.#.....#..##.####.#..####.##.##########.#####.#..#.......##.##.#.###.#######...##.#.#.#.##.######.#####...#######..#.#.##.#.##.##....###..#.###.##...#####.#...##.####..#..#..#...##.#..#.#.#.#####...#...##.##..#.##.#.##...#.##.##...#.###..##..##........###.#.######...###.....#.##..#.#...###.####..##..##.#..#.#.#.#####.##.....#...####.##....####.#####...#.#####....#...#.#.##.#.....##.##..#..#.#.#.#.#.#....##.##..##......#.#####.###.#..#.#######.###..#...#..##.##.#.#..#####.#......####..#.###.#####.##...##.#.#########.####.###.##.#..#...........###.##..###..##.##.#######......#.#.##..###.####.#.##.....##...#.#.#....##...##..##.#.#.##....#.###..####..##.##.##..#..###..##.##.....#.#####.....#...#.###.#.###.#.##......#...........#...#.###.##.##...##.###.#.#....######.#.####.##.#.##.###.....#..###.###.....#.##.........#.#...###...##...##.#...####..#.#####.#.#############..#....##....#.##..#.###
#.#####..##..##.#..##.#.#.#.##.#.....#....###..######.#....#.#.#..#####.#.##....##..####.####.#....#.##.##.#.##....##.##.#....##.....#.##.###.#...##.##.#.#.##..##.#......##.....###..#.###.#.......#.##....#.....#.#.######..####.##.#.###..##.#...##.#.###...#.#.##.##.##...###.##.######.#.#.#..#.######.#.#..#..####..#.####.#.##.##.###..##.####....######...#.......##.###.##.##.#.##.#####.##.....##.###.##..##.#.#.#.#.###.######.#.#..#######.#....#.##....###.....####.#.#####..####.##.##..#.##.####.#####.####.##.###..##.########.####.#.####...#.#.###.##.#.####.##..#.#.##.....#.##.###..#.##...#......#####.#............##.....#..#######.##.#.#.#.###...#.###.#...##..#......##..#.#.####..##.##...#.#.#..##.#.###.#.#.#.#.#.##..####.#####.#.##.##.....##....#.##...#.#..######..#####..#.#.####.##.#.#.#.#.......#.##..#..#.#.##.###############.....#..###..#.#....###.#.####.#..###.###...#.#.##..##.#.##########.#######.#####.#.##.#.###...##.###.#..#.#.#....##.#..#.......###..##.###..###.#.##.##......######
####.#..####.#..#.###.###.####.#####.##.###.##...##...###.##.#.##.##.####..##.#####.#..#.##...##.#.#.##..#.#..###.##...####.#..###.###....#.....#.#..##.#.#..##.##.#.##.#####.##.##..##.##..##.##.###..#.#.###.##.....#..###.##....##.#...##.#..##.#####...#.#.###.##.....##.#######...####.###.##.....############....##.#...##.######...##.##....##.##.....##.#...#.#.###..#.#.#...######..##...####.#....##..###.##.#.#####.#....###...#.##......##.#.##.#.##.##.##..#####....#....##.###.#.##..#.#####....#.....#....#.##...#.##.....#.#.#.#.##.#....##.##........#.#...##.###.#.#.##.#.###..#..###...####.####.#...#.#####.#.#.#.##..##.#.###..###.#...#.#.#.#..##.#.....#.#.#.###...#.##....##.#...#########.#...#.####..#.#.###########.######.#..#.#..#.##..##.#.###.#########.#.##......##....###.#.#.###.....#.#####.#.#.#######.#.##.#.##.............##..#.#.#######.#.#.##...###........##.....#.#...#.##.#####.#.##.#.......###.......#.#.##.#...##.##..##..#.##.####.#..#.#.##.####.##.#.###.#.#.##.#########.##.#......#
#......####..##.###...###.#..........#......##.######...#.#..#.##.##......##..###.#.#.##..##.#####.#..##.####...#########.####...######.#...#.#.####..#.#.#.##..##.#.#....##..#..###.##.#..###.##..##.##.#.##...##.##...##.#######.#..##.##..##.#....###.#.#.#####.##.######..##...#.###.#...##.##.#.#....##.#....#.#####.##.##...#.####.##...###.#####..#.####.#######...#.##.#...#..#.#.#.##..#....#.##.#####..##.##.###..#....#.##...#####..#.####..#..#.#..#.#...##.....##.#.##.###..##....##.##.....##.#.#.#.#####.##..#.#.#..###.#............##.#.#.....#.##.#.###.#.####...#.#.##.#...#.###...#.#..##..##...###.......#.#.############...##.....##.##.#.#.##..#####.#.###.#.#...#.#..#.##.####.#....##.....#.######.#.##....#.#.#.##....###.#.##...##.#..##..#.#...#.......##..#.##.########.#..##.#####...##.##.....#####....##...#..#.#..##.#.##########..##.#.......#.#.#..#.##########.#..#.##.######.#..#...##.........##.#.##.#.####.##.#.##.##.##...##.#..##..#.#....##...........#....#.##....#......###......#.#.######
#.##.#..##..##...##.#...####.###.#.#.#.#.#.##..##.....#####.##.##.##.###.###.##........####..##....#.##....###.###.##..........#...#.#####.##.#..##..####.#.##.##..###.#.#######..##.##.##.##...#.##...###.##.#..#.####.....##.###.##.#..##.###.###.##...#.#####...##..##..##....######..##.##...#.#.#.##....####.......#..####.#......#.##.#..##.#..##.##....#..###..#####..#...####.....#..#.##.#.##.##..#.##.##..##..###...##.#.####.....##.#....####.##.#######.##..#.####.#..#...##.##.##..###..#.#.##.#.###....#############...#.#.##.#.#.#.#########.#.###########.#....##.##.#.##.#.#.#.##..#####.###.##..#...###.##########.#.##.#.#######.#.#.##..#.#.#..##....##.####..####.####.##..#....####.#..#####.#....##.....#.##........##.#........#############.#.##.##.#.#######.#.##....##.####.##...#.#..####..##.##....##.#######.#######.##.#......#.#.####..##.###.##.###.##........##..#.##.#...##....#.######..##.##.#.#######......###..#..########.######.##.######.###.##.###########......##.#.#.##...####.#.#.#......#
###..##..#.####.###.##.###.#.#...#.#.#.#.#..##..###.#.....######...#.#.....#####.##.##..####.#####.#####.###........##.#####.#.#.#.......#######.#..##..#.#..#.#..###..#..#.#....##...#.#..#..#.#..##.##...#..#.##..##..#.####.....####.#####...##..##.###.##....#..##....##..#.###.#.##.##..#.#.#.#.#.##.#.##....##.#.##.##....#.######..#.#.###...##..##.#.###.....####.##...#....##.##.####.#..#.##..#.##..#.##.####.#.###.##.#.#....###.#####.#.#.####...###....###.####.####.######..#..##...##.#.###..#.##..##....#.##.#.#.##.####..#.#.#######.#.#.#.#.......##....#.##..#.##.#.#..###.#..#####.#..##...####.#...#......#.#.#.#.#......##..#.#.#.#..##.###.##..##.#.....##..##.....#..#.###.#....#.##..#.##.#.####..##.##..##.##.#.###.###.##.####.##.#.#..##.#.#...#.#....##...#..##.#......##..##.##.#.##....######.####......##.......####..####.#........##.##...###..##...##.###.###..##..#.##.###.##.#......##.##.####.#.#.#...###.########.......##...##...##...##...##...#..#........#.#.##..#.#.#.##.####...#.###.#.##.#
#######.##..##....#.#......###.#.#.#.#.####.#####...##.##..##.#..#.####.#.###....##.#####.####.###....##..##.#.#.#.#####.....#.#.##.#.##.#...######.#..#######.##.##..###...###.####.##.##.#.##.##.##..#.###.##..##.##.##.##.####.##....##....#####.##..##.##.#####.##.#.####.#..........##.##.###.#.#.##.#..##.#.##.#.##.##.##.#....###.##.#...#.#.###..#.#..##.##.###......####.#..###.....#.##.#.###.#.#..##.##....#.#.....##.######..####.....#.....####...###.##........##......##..##.##..#.##.#..##.##..##..##.#..........##....#.##.#.#####.#...#.#.##.###.######.#.##.##.##.#.##..##.##.......##..##.##....#.#.##.#.###.........#.##....####.###.##....###..#####.#.#..##.###.####.##...###.#.########..#.#....#.##...##..#..###.##....#..#.###...#.....###.###.#######.#####.##.##.#.####.#####.....#.##.##.#..##.....##.#.#####.#.#.##.###..#####.###.##..####.#...##.#..#.#..##....########.#....###..##.##.#####....##.......#...#.......##.##.#.##..#.##.#.##.#..##.####.###...#.##.#.#.#############.....#.#.#..##.#..#.#
#..##...###.#..##.#.#.##.#.##..#.###.#.#..#.....###.##..##.#....##.######...##.#.#.........##....#.##.##.###.#.###.######.#.##.#..#.########..#.......##.#.##########.#.#.###....##...#.##.#.##..#.#..####....##.#..##.##....##...##.##.#####..##....##.########.....###..#.#.#.#####.####...#...#.###.##.#.##..#.##.#.##.####..#.##...#..#.##.##.#.#.#.##.##..#.##.....#.##....#.##...##.#.##.#..#..##.#...##..##.#.##.##.##..####.#...##.####.#.#.##.##.##.#.###.###.##.#.######.########.###.####.#########.#..######.#.#####.##.#.#######.#.#.#.#.###.#.##...###.#....#..#.####..#..##.##.##.##.#.#######.##.##.###.####.....##################...##...##.######..#.#######.##.#....###.##.#..#########.#...####.##.#.##.#.#..##.##....###.###.#.....#...#####.#####.....###....##.##..#.#...##.....##.#.##.##.#....##..#.#.##.####.#..###......##.....#########....#.#.#######.####.###.###.#.#######.#...##.#...######..##..###.#.#.#.######.#.##..####..##.#.##.#..###.##..#.#..#...############...#.##.#####.#.##.#.#.##..#.##.#
##....#..#####..#.#.####.#.###.#..####.##...#.###...##.##..#.##..###.##...##########.###.#..##.#....###....#.#..##..##....#.##.#.##..#.######.#####.#.#......###........#.####.#..##.##..#####..##.##...###.#######.##.###.###..#.#..##..##.##.####.##......##...##.##...##...#.....#....##.##.###..##.##.#.#####.##.#..###....##.#########..#..###...###..##.##.##.#.###..##.######.#..#.#..####.##..#.##.####.##.#..#.#..##.##......#..#.#.####.#.##.....#.#...#.#....#.#....##.........###.#.##.#...#..#..####....#.###.....#..#.#.......#.......#.###.###..#.....##.#.#.##....##.#.###.#..##.####....##...####...##...##.#.#..........##.####.###..##.##.......##...#.#.#.###..##.#...#.##.##..##.#.#.#.#.###.##..#.####.####..#..##.#...#.#.###.#.###.#.....#.###.##.####.###.##..##.##.##.####.####..#.##.##.###.######.#..#......##...#.#.#.####.#####......###.##.#...#.#.#..##....#............##.#.####.#.#....##..####.##..#.#.#......#.#..##...###.##.#.##.#.###...##...##.#.#.##.##.###.####.#.....#.##.#..#####.#..##..#.#
###.#.##..###..####.##...#...###.##....#..#.#####.#.##..#.##..##..##....#...##..#.#....#.#.##..##.#...##.#.#.##..##.#..##.#.##.#..##.#...#..........#...##.#...##.#.#.#.#...##.####..##.###.#..###..##.##.......##..##..##...##.#.#.###.###......##..##.###.####.#...##.###.#.##.#.###.###...#...##.#...###....##..#.##..###.###.........##.###..##.#.#######.##.##.#...#.##.......#.##.#.##..##...#.##.#....#####.##.#.##.#..##.##.#.##........#.#..#.#.#.#.##.##.##.#.####.#####.#.###.##........###...##.####..##...####.##.#.#############.#.##...#.#...##.#.#.####.#.#.##.##..###...#.#.##..#..#.##.##.#...####..#.#.####.##.##.##.####.......##.###.##.#.#.#####.##.#.....##.#..##.#####..##.............##.##.####.......#.##.##..#.#.#....##.#..##.##.##........#####....###..##...###....##....##.#..###...##..##....#.##.##.####.#.###.###.#####....####..###########...#.###.##.##.##.##.#.####.#....###.##.###..##.####..##.###.###########..#...#..#.###..###.###..##.#####.#........#....##...#####..#.#.###....##..#.####
#.#.#####.#...##.##.##.#.##.##....##.#.##.#.....#.#####.#.#..####..#.#.###.####.....#.########.##.##.##..#.#####.##.####..#..###.#######.#######.#.##.#..#.##.##..###.#.##.##...##..##..#.....###..##...###.###..#.###.##..#.#..#.#...#.#...#.##.##.##....###....##.#####...#..#.#.##...##.#.########.#...#.######.#..##.#.######.##.#.#.##...##..#.#...###.#.#..##.#.#.#..##.#.#########.##.####.########.#..##...##.#.#..##.##.#..#..##.#.###.#.##.#.###.#.##.#####.#...##.....#.#.###..##.#.##.##...#.......##..#####..#.######.#.....###.###.#..#.#...#.##.###....#.#.#..#..##.#...#.#.#..##...##########.#..##..####....####.#####..#.#.#####..#.##..##.#.#...##.......#####..#.##......##..#.##.###.#.##....####.###.#.#.##.##.##.##.#.#.#.######..#..#..##.#####..##.##.######..#.#...##.#..##.####.#.###..#..##..##.###.#####....#.###.............########....#.#.#....#####....#.##..#.##.#....####.###...#....##..#.#.##.###..####.....#.##..###.##.##...##.##...##.###..##...####.#####.##....###.#.#.######...#.##..##....#
#.....##..#.#....##..#.#..#..##.#.##.#.#..##.#######.#..#.##.#####.#.#.#....#.##.#.##..##...##.####...##.#.##.....#.#....##.###..##.##.#.#.......#.##.#.##..###..##...###...##.##..#########.##.#.####.##....##.####....##.#.##.#.#.#.#.##.##.##.#..#..#.####.#.##......##.##.########.##..#....#.###.##.##....##..#.#####.........#######..#.###.###.#.....####..###.#.#.##..#...#.##.####....##......##..#.#####.######.###.#####.#.##..#...#.#.#..#######.##..##...#.#..#.##.##.#...#.##..#.##..##.###.#.##..##.......####.##.....#####....#####.#...#############.###.##.#.###.###.#.#.##.#..###.#..##.##.#.####....#.######......##.........#.##..##..###.##.##..#.#.#.....##.#..##.##.##..##.##...#####..##..##....###.#.####...######.###....##..##.#####......##...........#######.#.##.##.#.....#####...##.####.##.#.......#.#.##...###.#####.#.#........#.#.##.....##..#.#####.###..##..#.##.#####...####.##.#..#.##........##...##.#####..###########..#.#.....###....##..#.#..##...##....####...........#.##.#.#..##.##.##.#
###.#.##.##.##.#..##.###.##.##..#.#..#.#.###.........#.##.#...##...######.#.#.#..#.###....###...####.#####..##.#.##.#.#.##..#...##.........#.#.#.#.##.#####.#######.#..###.##..##.##.###......#.#.#....##.#.##....####.##..#.#..###.#.#..####.#..##.##.####...#.###.#####..##...####....##.##.#.....#..#..##.###..##.....#.##.#.##.....###.##.#.####..##.##...###...#####..##.#.#.........##.###..######..##....##...#.#..#....##.###..#.##.#.######.....##...##..###.###.##.##.#####.######.#.#..##...##.###..#####.#.#...##..##.##.##.#..#.##.#.###.#.....#.......#..##..#.#.#.#.#...#.#..#.##..##.##.#..##.#...###.#.#......##.#.#.##.####.#.##..######..##.##..#.##.###.########.##...#.###.##.#..#...###.##..###.########....#.#....##..####.#..##.####.####.#.####.#.##.#.##...##.####..#..#.##.#####.##.###...#.#..#.#.#.#.#########.####.....###.#.#####.####....##.######.#..##...##..##.#..#.....#.###.##.####.#######.#.#.##..###...#....######...########.#.#..###.####.####.###.#..##.#####..##.#.#.##....###.##.##.#...###
#####.##.##.#..#.###..##..#..##.####.#.#.#...#.###.#.#..#.#.#.#..#..#######...#.##..##.##...##.##.......########.##.###.###.##.##..#.#.##.##.#.#.###....##....#.##..##.#.#####..#..#.#...##.#...######.#..#..##.#....#.##.#####.##..#.##.#....##.##.##..##..#.#.#.......####..#..#.##.#.##.##.##.#.##.##.##....#.######.####..#.#..#.###.######..##..##...#.###.###..#.###########.###.##.#....##......#.##..##.##.#...##.##.#.#......##..#.#...##...#.#####.####.##....#.##.##..##.#....##..###.####.##....##.##.##.#.##.##..##...###....#####.....#.#.#####.#.#.#.#.##..##.#.#.####.##.#.##.###.........##..#.###...#.#.#.#.##..###.##...##.#####.....###..#.#..##.#...##....#..##..#.#.#...#..###.##.###.#####...........##.######.#.####.#..#.##.##........####....#.###..#..#.#......##.##.####.........#..###.##...##.#.#.#....#...##.#....#.#...#.#.....#....##.######.###....##..#.##.#####.###.#.##......###.......##...#.#..##.....#...##.....#..#.......####.##.#....##...##....#.##....#...#######.#.#####..####...###.#..##
#.....##.##.##.#...#.##..###.#..##.#.#.####.##...#.#.#.####.####.##..#.#....#.#####.##.##.###...##.##.#...##.....##.#....##..#..#.##.#.##..#.#.#.##..#.######....#.###.....#.##.##.#.#.#.#..#.#...##...##.##..#.#.#.##.##.##....#..##.##.##.#..#.##.#..######.###.#.#.#...###.##....###..####.##.#..#..#.##.#######...###.#####.##.#...#.##.##..####..##.#####....##....##...#.#.#######..##.#####.#########..####.#.#..#.#########.#.##.##.#.#.###.##....####.##.####.##.####..###...######.###..##..##.#.##......#.#..#..##..#.#####.####.#.###.###.#...##..###.#####..##..#....##...#.#.##.#...#.#.#.#..####.#.##.####.#.#.###..######.##.....######...##.#.##..#.#.#..#.##...###.####.#.###.###..##.........##.#.#.###.##.....##..####.....##..###..###.##....#.####...##.####.#.#.#####..#..##..#.#.###.##.#...##.######.#.##.#...#######.#.#.#.###.#.##.##.#####.....##.#.#.##..##.#.##.##.##.#.#.######.##...##.##.###..#.#.##.###.#####.###.###...#####.#.##.....###.#.####.####.#.#.##.##...#....#.####.....####.####..##.##..#
#####.##.#..##.##.##..##.#.####.#....#.##....#.#.#.#.###....##....##.#...##.#...##..##.####...###..##.#.#..##.#.###.#.#.###.##.##.#..#####.#.###.###.#...###..#.####...#.#.#.....###...#.##.#.#.###..#.##..#.####.#######..##.#.#.###..###..##.#######....###.#...#.###.#..##.##.##..###.#.....#.##.####.##....##...#####.......#..#.#.........###...###.#.#.##.###..##....###.#.......#####..##......#.#.###.##.###.####.#...##....#..#.##.#.#.#...###.#.......###.##.##....##...#.#.....##.#...##..##..#..##.#####.##.##....##...............#...##.#.#.##.####.....########.#.####.##.####.###.#.###.##...##...##...##.###...##.#.#.####..#.#......###.#######.####.#.######.##.###..#.#..##...##.##.###.##.##..#.#...#..####.####....#.###..##..###...#..#.#.##..#.#####....##.#.#..###..#########.#######..##.##.......#.###..#.#..#.######.#.#...#.#.##.######.#####....#...#####..#.##.....###.####.....####.#..#...##.##.#.##..##..######.###...#.....#.######.#.##..#.#.##..##..###.#...##.###.###.#.###########.#.##.##...#.##
#.....##.##..#.##..##.##....##..###.##.###.#.#.#.#.######.#..##.######.#.#..#.#######.....##.##...###.#.##.##.#...###.#...#.#..#####.##....###...#...#.#...##.#..##..#.#.#####.#...##.##.##.#.#..###.#.#..##...##..##...####..#.#.#...#####.#...##...##.#...#.###.#.##..##..#.##.##.##.####.#.##.##..######.##....#.....##.##.#.##.#.#.#.#.#.#...#####...#.#......##.#####.......###.#..##...#####.##.......###..##...#######....####.##..###.#.#.#...#.##.#.##.##......#.#.###.#####.#.###..#.#.##.####.##.##.....#..#.##.##....#.###.#.###.#...#..###.#.......#.########...#.#.#.#..##....###...#.#....##.##..###..###...##.#.##........#.#######.#..##...##....##...#......#........##.##..#.#.##.#..#####...####.##.###..######.##.#.#..##.###.##.#.###.##.#..##....##.####.##.#.##...##....##...........##.##.##.#.#.######..##.##...#.####.###.#.#.#..#.........#####.#...#....#####.#..###..##.##.###.#...#####.#.#..###..#.##.##..##.#.##.###.#.#.#.#.#..##....#######....##..##..##.##.###.#.####.....####.....#...######.#####
##.##..#..##.#..##.##.###.#..##.#...##..##.#.###.#.....####.##...##....#.##.#...##....#.######..#.##..###...#.##.##...#.#.####..##...##.##...###.###.###.###..##..##.###.###...#.#.#..#..##.#.#.##...####..##.####..#.###....####.##.##.....#.######.#..#.#.###.#.#.##.#########.##.....#.#.###..###......#.##.#.###.#.##..#..#..###.#.#.#.#.#.#.....###.....####.##...##..##.#.####.#.####.######.###########..###.#...##.####.##.....#############.##.##.#.##.##.###.##.#...#.##....##########.#..#.#..##.##.##.###.#.##..#.#.##..##.#.######.###.#...##.#.######.#.#..##.####.#.#.####.#.##..#.#.##.###..###...##...##.#########.##.##.#...#.#.####..##.####.#.##.#.##.##.##.#.##.#.######.#.#..#.##.#.#####....#.##...##....##...#####.###...#.##....#######.##..##......#######..###..##.#####.##.#.#.#.#####.#..#.#..#.#.##.##..#.###..#.#..##.###.#.#########.##...###.###.####...####...####......##.##.##.#.###.#######.#.##..##.......#.#.#########.#.##..##..##.....##..##.##.##..#....#........#.#......#.#...#.....##.....#
#...##.####..##..#.##..##.#.#######.###.#..#.##..#.###..##..###.###.##.####.##.###.#.##......##.#..##...#.#.#.##..##.####.##...###.#.#..#..###....##.##....##..####..#.....###.######.#.##..#.#####.##....###.#.###.....####....###..###.#.##..##......#######....#..#.......##..##.###...#...##...##.##.####..#.#.###.###.##.#.##...#.#.########.#####..###....######..##..#####..#.#...##...##.............##...###.###...###..###.#..........##....#..###.#######...##.#.###..####..........#.##...##.##.#...#.#.###.##.###########.#....#.########.###.#..##....#.#.###....#.#......#.#.#####.###....##...##.##..#.##......##.#.##..#.#.#......#.#######....#.#..#.#...####.#..#.#...#.#..#.#.####......######.#.##.######.##..#....##...#.###..##.#...#.#######.##.####.#.#...##...##.##.##.#...###.#####.#.#.#.#####......#..##.#...##.....##...##.#....#####.....#...#.##.......#####..#......######..##.##...##...#.#.##.#.##.####.##.#......#.#...####..####..##..#.###..###.##..##.#.#.##.#.###.##.##.##.#####.##.###.##.###.#
##.###....##..#.##.##.###.#.##.##.....####.#####.#...#.####.#...##...####...##...######.#######.##..##.##.#.#.#..###.#....##.#.##..#######...###.##...##.#######..##.##.##.#......##..#..####....##..###.##......##.#.#.#....#######.#...###..##..#.#.##.......##.#.###.######..##..##..#.#.#..##.##...#.##...##.#..##...#.#..#..##.##.#....##.....##.##.###.#.###.########.....#.##.#.###..#..#.#.#.#.#####....#..##..##.#.....####.##.####.##.##.#.##.###......##..#..###...#.##....##.#.###.#.###.########.###.....#.#...##.#.###.####.#......#.#.#.##..##....####.#.....#.#######.#.#.#.#......####.##..#..#..##.#..##.#.###..###..####.##.#####.###.######.####.####.###.###.####.###.#.##.#..##..#.##....#######.....##.....###.###..#.####..##..#.#........##.##.###......######..#.##....###.#......##.#.#.#.#.#...#.####.###.##.##..#.#.##.####.#.##.....##.#.###.##..#.##.####.#.##.#.#.##....####.##....#.##.#.....##.#..####.#..#.#.##.#.....###.###....########...##.#...###..#.###..#.###########.##.#..##..#..##.##...#.#
#....##.#####.#.##..#.#...#.##....##.##....###...#####.##...#.#..##.###.###..#.###........#.#.########..#.#.#.##...#.####.##.#.###...##....#..##..##.##..#.....##.##.#...#.###.######.#.###...#.##..##....##.#.#.#..########......##.#.#.##..######.#..###.######.###........##..##.##.##.#######..##.##..#.#.##...##..#.#.##.#.##...#.##.#..##.#.##.......#.#..........####.##....###...##.#.##.#.###.....##.#.######..#.#.#.#.##...#..#######.#######...##.#.###..###..##.#.#..###.##..#...#.#.#......##......###.#######.............###.##.#.....#.##.####.#.###....##########....#.#.####.#.#....#..##.#.##.##..#.##..#.....############..............##.#####...#.#......####........#..###.####.#..##.#.......##.#.####.#.###...#####.##.##..##.####.#.#.###..##...##.#.###.#.###############.##.#.#......###.#...#.#...##...#..#.##.##.####....#.#..#.#.#..###...#..##.#.##........##.#.#..##.###.######.#.######.##.#####.##......##.#..#.#.###.......##.#.###..##..####.#.#...##.#.#...##...........###....###.###.##.###.####
##.####.....###.#..##.#.#.#..####..#.#####.#.#.#....####..#.#.#.##..#.......##..###.#.#.#.....#####.#..##.###.##.######....###...#######.######..##...##...#.#..#..####.####........#.#...#.#.#.###..##.#.##.######....##....###.###.###..##....###.##..##.#.......####.####.###.#..##..#.......##..#####.#.#.#..#####.###.##.#.#..#.#..#.#.##..#.##.####.####.#.###.##..##..###.#...#.#.##.###..#...##.#######....##..##.#.#.#..##.###.....#.###.....##.##..#.#...##...#####.#.##.#.###.#.########.#.####.#.#.##...##.##...###.####.##.######.#.#.#.#.#....##.#.....##........#.##.###.###....###.#######..#..#..##.########.##....###.#.#####.#######.##..#.##....###...##.#....####.#.########..#.#.#.##..#.#.########....#.#.#.##.##.........##.##.###..#####.####..#..#.#.........##.#........###..###.##.#...#.##.##.##.##..#.#.##.##.#...##..######.####.##..##.######..#.##.###.#.########.##......##..#.#.##.....##..#.######.###.####.##.#...##.#########.....####....#.#.##.###.#.#.#..##.########...##.#.#.####..##..##...##
#.....##.########.###.###.#.###...####.......#.#.##..##########..####.#.##.####..##.#.#.#.#####.##....##....###.....#.##.#.###.###............#####.#.###.##.####.###.....##.##.##.##.##.######..##.###.###......##.#.####.#...###.###...####.###....##..#######.###.##...##...#.#.###.#######.####...##..#.#.##..#.##...#..###.#.#######.#.###.#.##.#......####.######.####..##.#.########...#####.##....##.##.#.####.####.#.##..###.##.##....#..#.####.##.######..##.##...#.###....#...#...##.#.#.#..##..###..#.#....####...#....#.##......#.#.#####.#.##..###.#.#.###.#######..###.....##.#..##.......##.##.##.#..##.#.##...##.#.........##......###..##....##.#.###.#..###.##....#.#.....#..##...#.#.#..##.#........######.#...####..###.##.##..##...##..#..#....#.##.##.#.#.#.###..#.#.##.#.#...##.##..##.##.####...###...##.#.#..#.#..#.#..##.....##....#.##.##...#...####.##.###.###...###...##.###.##.####..#.##.####......##..###..##...#.#.#.##........###.#.##..#.####.#.#....#.#.#.#.##......###..#.##.#......########..#..#
##.##.#.......##....#.#...###.###....###.#.#.#.#.###...#.#.#....##....####..##..##..#####........####..##.#...#.#.###....#.#...#...###.###.#####....#.#...#######.#.###.#.##.##..######...##.###.##.##..##..#.#.###.#..##..#.#####.####.###...##..#.##..##............#.#..##.##.#.##....#####.#.##.###..##.#####....#.####.#####.......#.#..##########.##.##.##......#.##...##..#.##.#.#...#####.#.###.#.....#####.....##..#..######.....#.####.####....##.#.#....#######.##...###.####.#.#......#.##..##..##.##.##.#..##..##########..##.#####...###########...#.###...........######.###..#.####.##.####.##..#.##.......##.##..##.#.#.##..##.#.#...#.#############...##..##.#########.#.#.#.###.########..#.##.##.##......###.#....#.##...##..##.##.#####.#.##.##.#..######.#.######......##########.##.##...#....##.##...#.##.###.##.#.#####.##.#######.#.#.##..###...###..#.#....#.....###.#.###...##......##.##.##.#.###.######.##...####.##.#.#..##.###.###.#######...##.###.##.#.#.#.#.#####.#.#...#.####..##.#####.#######.#.##
##.##.#.#.###.#..#.##.###.##......#.##...#.#.###..##.###...####..#######.#.####..####.....#.##.#....#.#####.#.###...####.###.#########..##...#.##.###.###...........##..#.######.....##.#.#......##..##.#..##.###...##.###.#.....#.#.##.##..#.###.#..######.####.##.######..#..#.#.##.##.....#....#..##.###..##...####....###.....#.#.#.#.#.##.#.##.#...#.....##.########..#.###.#....#.###.......#..##.#.#.#..#.####.#.##.###...##.###.#.#.........##.#.#....#.##.##...#...#.#..##.#....#.#.#.####..##.##.##..####..######......#########...###.#...##.#.##.#.#.#...##.#.##.###......#...##.#####...###....#..##.#..#.#.#.######..###.#..##..###.#.#.####.##.#.##.####..##..#......#..###.#...##........##.##.#..##..#.######...#.##.######.##.#####......#.......#######...#.#..#..###.##.###.......#.##..##.##.##.##..#.#.####...####.#.#.....##.###...#####..#.##...#..#..##.##.####.#.###..#...##.####.######..#.#......#......#.###.###.###..#.##..#.#######...###...#......######.#.#.#.#.....#######..####..#.###....##..#######
#...#.#.#..##.#.##.##..##..##.###.#.##.#.#.####..##......#...##.##.........##.##.##...###.#..#.###.##.#.##..###...######...####.##.....##..#...##.######..###.#.#.#####.#...##...#.#..#.####.#.#.##.##..##.##..##.#.#...####.#.#.#.#.....######...##.##...###....##....##..##.##.#.##.####.#####.##.##....#.#####...#####...#####.#.#.#.###......##.######.#####........#.##..##.#.####.#.#####.#.#.##..#.#.##.....##.####...##.##......#.#.##.#.####..####.#.#.#.....#...#####.######.#.#####...##.#####..###....##.....##.######.#.#.#.#.###.#######.....#.#.#.#.#.##.#.#######.###.#.#.##...##..#...###.##.######.#.#.#....#.##...#.#.####.##..#.#..#.#..........##..####.#.######.####.##.##..#.####.#...#.##..##.#......##.##.##...#.##.##.#..###.##.###.#.#####.##.#.######...##.#..#.....#####.#..#.##..#####..#.##.#.##...#....######.##.##.....#..#..#.##..##.###...#####...#.###.....##.###....##......#######.#####.#.#.####.......####.#..#.##....##.#.###.###.##.###..#.#####.#.#.#.#.#......###...##.##.#...#.###.##.#.#.#
#.#.###.##.##.#..#.###.##.##..#...###..#.#....##..##.##.##.#..#########.##.....#.###.##...##.#####..#....##..##.#..##....#.#.......#.#.###.###.##.#.##...####.#.#.....#.##.####.##.#.####....#.###...##.##.##.###.#.##.##....#.#...##.#.###.....#..#.####.####.#.##.######..####.#..#...##.....#########.##.#.....#....########...#########.##.#.#...#.#.#.....#.##.#.#.#.##.##..#....#.#...#.#########.###..#.#####...##..#.########.#.#.#..#.#....##..##..#.#.##.#.##.#.....#.##.....#.....######....###..##.#.####.#####..............####...#.#.#..#.###.###.#.#..#.#.......#######.#.#..#..#####.####.##.#....#.###.####....#.#.#.###..###..##.##.....############....###....#.#....####..##.#....####.####..###.#.##.#.#...#..#.###....##...##....#..##.#.............#..##.#..#.##.#.###########.######.....##.######..##.##.#####...#.#..#..#.#.##...##.##.###...##.##.##..#....##.#.#..###.#.##..#.#.#####.###......#.###...####.#####.#..#.#####.#.##.........#####..##.##.....###########.####..##########...#.###....#.....#
###..##.##.##.#.####...##.#..##.#...#######.#####.##..#..####..##.......#..#.#.#..#######.##.....#.##.#.####..#.##..####.####.#.##.#.#..##...#.##...##.#.##.#.#.##.######..##...####..##..##.#..###.##...#..###.###.#..##.#.##.##.##..#...##.#.##.####.........#..#......##....####.#.#..###.#.....#.#....#.#.##.##.##...####...#......##....#.#.###.......#.########.#.#.#...##.##.#.....#....#.#.##.#...#.##.....#.#..##.###........#.#.##.#.#.#.##..####.#.###..#.####.#####.#..#.#.#.#.#....##..##..##.#####.#........##.#.##.#.##.#....#.###.#...#####....#.#.##.###.########..###.#.##.##....##.##...##...#.##.##....##.######.#.....#####..#.##.#.#.......#.#.##.##...##.#.....##....#.###.##.#..##..#..##...###.##.###.#.#.##...##.#..##.#####.###..#.##.#.#.###.####.######....#.#..........##..##....##.##....##...##...#.......###.##.##.#.###########....##.##......##.#.##..#########....##.##.#.........##.#.#######.###..........##.#...#.#.#....#.#.###...##..###....#.#..##............##..##....#.###########.##.#.#.#
##..##..##..###...##.#..###.#####.#.#.#.#....##...#..#####....####.##.#.##.#.#.#.##.......##.###.######....####..####.....##..#.#..#.#.##..#.#..###.####....#.#.##......##..###...##.####.##.#.##...##.#.##.......#.##.####.##..#.#..##.########....#####.####.#.######.###.#####.######.##..#######.###.##.#.##.##.######..##.##.#.#.#####.####.####.#.##.#.....#.#########.###.#..###.####.###......#.###.##.##.##.#.###..##.#.###.##.#.##.###.#..##....#.#...##.#....#....#####.#.#.#.#.#.##.##.##..##.....##.#.##.##.###.#.##.#..########.#.#...######..######.##.##....####...##.###.##..#.#.##...##.####.##..#.###.###......##.##.####...####.#..#.#.#.###......#..###.##.##.#.##########.###..#.####...##..#..##..#...#.######.#..#.##..#..##.....##.###..#.#..##..........##.##.#.#.###.###.###.##..#.###..##.#..##.####.##.#.#########..##.#...........##.#..#..##.#.#..#.#..##.........##.#.####..##.#.#.####..#.......#..###.#.###########.##.#####.##.#..##.#..##...##.#.#.#.#####.##.##.##..##....####..##.###.#......#.#.#
#..####.###..##.#.##.#.###..#.....#.#.....#.##..#.##.#.#.#.##..#.#.#######.###.#.##.##.##.##..##....##..##....##.##...##.##..##.##.#.#..######.##...#....##.#.####.#.######.#...###..#.#..##.#.##.#.#..#.##.#.##.#######.....#.##.#.##..##.##.#..##..###..####.#......###..........#...#####...........#.##.#.##..#......#.##...#.#####.########.#....#.#..#.#.###...#.#.#.###.#.##...#..#.#..##.######..##.##..#..#.#.##..#######...##.#.#....#.#.####.#.###.#.####.#####.#..###..###.#####..####.##.#####.######.##..####..#.####.###.#.#.#.#...#....#.##.###.#####.##.##......#......#####.#.#.###.##...##...######.#.####.#.####.##....##.#######.##.#.#...#.###.##.##...##.##.#.....###.##.#########.#.#####.#.##..###.##..#.#.#.#.##.#..##.#####.#.##...####.#.####.#.#.#.######..###...#.##..#.#####.#.##..###.#.##..##....#.#.......##..##..##.#####.#####.#.##.#####.#.##.#.##..##.#.##.##.#....#.###.###....##.#.#.##.###...###.....#....##....##.....#.#.##..#.##..#.##.#.#.###.....##.#...#.###.#####.#.##....#.##.##.##.#.#
##..#.#..###..#.###..#.##..##.#.#.#.##.#.##.###.####.#.#.###..##....##.....###.#..#.#####.#..####.#########.#..#.###.###..#.##..#..#.#.###......#####.##.#######...#..#.#####.#..##.##.##..###.##.#.##.#.##.#.#......##..#.#.#..#.#####.##....##..##.#.####....#.#.######.#.#.##.#...###.....###########.#..#.##.##.####....##.#####........##...##.#.###.##.#.....#...........###..#.##.#.##.........#####.##.###########.##...##.#..#.###.###########.#####.#..##......#.#.##.##..##...##..###....#.#.##..##......##....##.#...##.##..........#.#.####.##.#.#..###...#.##.#.##.##########.#####.#...##.#.##.#.....##......#.#....#..#.##..........#..###.##.##...####..##.##..#####.##..........#.....#.####..###.##.##.#####.....#####..##..#.#.....###..#....###....###.##############..#.#..##...##..#.#..#.##...###..##..#.#####.#.##.#..####.##.....###.#.###.##..#..###..#.#..##..########..##.###.##..########..#.#..###.###.##..#.#...#.###.##..###.#####..#.##..##.###..#.#...#####.#..##.##...#..........##.###.##..########
#..##...##...##..###.#.###.#..###.######.#....#.#.........##.####.#..##.##...###.####.#...##...##........##.#.####...#...##..##.#.##.#.#.##.##.####...##...#.##..#.##....#.####.###.#.....##...##.#.##.####.#.#.####.#######.#######.#...##.#....##..#.#####.#.###.#.#..#.#.#.##.######..#.#...........#.#.##.#..##....#.#.##........##.#.###..#.#..###...####.##.###.#.##.###...#.##.##....#.##.##.#...##..##....#.#.#.##..###....#.##.##..........##......#.#.####.#.#.#.#....###..###.###...####.#...##.##..####.#..##.##.#.#.#.....#####.#.####.............##.##.##.##.#..#.###............#####.##.#.##.#.#####..#.#.######.##.##.##.#.##.#.######....#..#.#....#.##...##...##...#.#.####.###.#####..#.#.##....#.....##...#.####.###.##.##.#.##.####.###.#...#.#####...#.##.##.#.#.#.##.#.##..#....##.#.##.####...##.##.##....####.####.##.#..##.##.###......#..##...##...####.####..#.##.#####..######.##......##.####.....#######.###.#.#...#..#.##......##.##..##.##..##.##.###...##..##.##.##.#.#.##.#.#.###.........###.##.##
#.###.#.###.####...#.###.#.##.##...##.##.##.########.#.#.##...##..#.######.#..##.#.##...#####.##..#.#.##################..#.#####.####....#..#.##...#.#..#....#.####..##.#........#.#.#.#..###..#.#.##....#####....###...........##....#.##.##.#..####.#.....#.#.......########.......#.####.#####.#.#####..####.##.#.##.#####.#.##.#####..##.#####..##.###.....#...#.####...##.##.##.##.##.###...#.##.####.#..####......#.#####.#.#..####.##.#####.##.#.#.##.#...##.###.#.#.##..##.##...#...#...##.##.##...##.##...##..#.##.#####.#.###########.###.##.##########..####..###.##.....###.#.#.##..##...####..#.#.....##.#.#......####.#####.#.####...##.#.#.#####.#########.#.##.######.#.#.#.####.#...#.#.##.#.###.###.#####..#.#.......####...#####..##.#...#.#.#.#..##...#.............#..#.#..##.#.##..#.#.##..####.#####..#..##..###...##.##...##..#......#.##.######.#####....#.#.#..##.#......##....##.....###.##.....##.##...##....###.#.##.###.#.####.##..#####.##..##.##.##...#.#..##.#..####..#.#..#####.....##.#.##.........#
#.#...#..##.##...#.#.#...#..#.###.##.....##..#.##....#.#.###.#########.....#.##....##.#.##.....##.#.#####....#.#.#.##....##.##....#.#..#.##.######.##.####.##.#....#######.#.##.###.#.#.##..###.#.#..##.#.##....##.#...##.##.###..#.##.#.##.##.#######...#.#.#.#.#.##.##.#...#####.##.###........###...######....##.###....#.#.#.##.....#.###..##...##..##..#.#.#.#.#....#.#..#..#..#.#...#...##.########.####......#.#.####.....#.##..#.#..#.....#..###.#.########....#.###.##.###.#..#.##.##.#.##..#.###.##..##.#.##.##..#....##.#..............##.##.....##.#...###.##.######.###...###.#..######.##..##.#.#.#.###..####.######.#...##..#....#.#....#.#.....#.....#.#.###.#.....##..###.....#....###........#.#..##.....####.#######....##.##...##....#.#####.###.##..#.##.##.#.##.############..#..#.####..##....#....###.##.###...##.###..###.###.#.#.#.####.......#..#.##.####...##......######..##..##.##..#######.#.##..##.###.##...#.#..#.##..###.....##.....#..##.##.#...#.###.##..#.##....##.#.##..#.##.##.#####..#.#.#.#####
#.#.#.#.###.##.#.#######...##.#...######..##....####.###..##.##..#.#.###.#.#..#.#.##..#..##.#.##..#..#....##.#.#....###.#########.#.##.#..####.....#..##...####.#.##....##.###....#####.#..##...#.####..#.##.##..####.######...#.##.#..#.#...#.##....#######.###.###.......#..##....#..##.#.#.##...#.#.....##.##.##...##.#...#.#.##.##.#####..####.########.###.#.###.#.##.#.###.#.##.##.####.##......#.#...##.###.##.#....##.##.#..##...#.###.#.###.##..#...#.##...#.##.##...#...###.##.#..##.#..##.#..##.##.##..#.##..#.##.##.##.#.#.#.###.###.###.##.###......###....#......#...#.#..##########.#....###.#.#.#.##..##...........#######.##.#.#.###.##.###.####.##.....##..###.#..##...##.##...##.....#.#.####.##.##.#.####.........##.########.##..##.#####....######.####.##.#.#..#.#.#.##.######.##...##.####.###.#.##...##..#######...#.##....##.###.#..###.#.########.##...##.#.##.##.######.##..####..##.##.#.#.######.##....#.#..#.#.#.##..##...###.###..#####.###..####.##...####.##.###.#..#.#.###....#.##.....##.###.#.....#
#.#.###.##...#.#.##......#..#.###..#####.####.#.##.....#.###.###.........#.##.#.#.#..##.#####.##.###...####..#...##.......##.#.#..#..#.#.###.##.##.#.#####....#.#....#.##...##.#.#########..###.#...##.##..#..##..##..##.....#.###..#.##.##.##.#####.####....##....##.#.#.##.#####.###..#.#.#..#.######.#######...##.##..#.###.#.#...#.#.#.#####....##......##..#...#.#..###.#.###..###.....#..##.#.#.....#.##...####.#######.#..#.####.##.##..###.#.#..##.#.#....#.#..#..##.##.#.##...####.##.##..#########..###.#####.#.#...#..#.#.#.#...########..##.#...########.#####.##.##.#####.##.###....#.##.#.##..#.###..##..####.###.##......#######.#...#.##..##....#####.##..##.###.##.#..###...###..#.#.#.###.......###..#.#.#..#.#.#.####..#..##.#.##.##......##.#.....##.###...###.##..........#.#.#######.##....#...#.#.#..#.###.......##.##.#..##..#.#...####.###.....##...######..#..#..#......#..##.#####.##...........##...##.#.#.##.###.#.#..###.###.....##.#...####..####..#..#..##..####.#.##.#.#..####.#####.##.###..##.#.#.###
###.##..##.#####.######.##.##.##..##......##..#..###.#####.#.#.##.#.##.#.#..#.#.####.#..#..#...####..#..#.####.#.###.#.##.##.#.##.##...#......###..####.###.#######.#####.###..#....#.#....##...#.#..#####.#.####..#.######.##...#######.##.#..#..........##..#.#.##..#.#..#...##...##.##.#.##.#.....##......####.####..##..####.##.##.........########.##.##..##.###.#.##.......#.#####.#####.##.####.########.###.#######.####.#.##....#..##.....#.##.##.######.#.#.##.##...#.#.###.####...#.###..#.#.#..##.#......##.#.#.#.##.#.###.#.#......#.##.##.#.#.....##.#....########.....####..#..##....#.#.##.##...####..##......#..######.....##..#.#.#.##.####.####.##..##..#.#....#.##...###..##.##.###...###.##########...##.#.#.#....##...##.......####.#####.#.###.####...#######..##.###.###.........#.##.#.##.#####.##.###...#.#.#..#..#.##.##.##.#.#........##.##....#......##.#.######.##.##.#####..#####.#.#########..#..#.#####...####.#.##.#...###.###....#..#.##....##.#.#######..##.....###.##...##.#.#.####...#.##..###...#
#....#.###....##..##.....#.##..#######.#.##..###.###.......#.#....#.##.#.##.#.#....#######...#....##.##.....##.#.#...#..#.##.......###.##.##.####.###.......#.##.##...#.#...##.##.#...#.##.######.##..#..###.#....##..#.##..##.#####......####.###.#.#.#.###.##.#.###.#.####.#..##.######.######.#######.##.##......###..##...##.##..#.#.#.###.......#####.##.##....###..#.###.###.##........#.#....##.......##..............##..#.####.###.##.#######...###......###.######.##.#..##..#.###.#...##.......##..##.#.########.#..#.#...#.#.##.#.#....######.#.###......####.#.##.########.##...##..##.#.#..#.##.#....##..##.#.#.##......###.####.##.######.#.##......##.##..##.###.#####.#...##.##..#..##.#.###........####.##..#.#.##.#..###..##.#.##..###.....#.#...#...##.#.....##..##...##.....##.#.#######.#..#.##.##.#...##.#.###.#.##.##.#...#..#.#.#.##.######..###.###.#.#.##.#......#.#.........#.##...#.#.......####.##.#....##.#..#####....#.#..##..##.#.###...##.##..#.#.#.######.##.#.#..#####.#.##.....##.##.######.##..#.#
###.##.##..#.##..####.#.##..##.###.###.#..##..####...#.#########.####..#.####.##.#.##......#.##.#.##.#..############.#.##.##.#.##.##...##..###......###.###.......#.#...#.#..#.#..#.#####...#.###.###...##...##.#.##.##....###.##....#.#.##....#####.#.###...######...#..##..#.##.......#.....##.......####..####.#...#.####.#####..######.###.#.#.###.#...#...##.#...##.#...#.#####..#.#.#.#####.#####.######..#.##.#.##.####..##.#......#.#.......######...##.#..##...##....####.###....##.#.#.#..#.#.#.##.##..#.###.##...#.##.###.#.#.##.####.#......######..##.###.##.#.##.##..........#..#.##..#.#.####..#.####..##..#.#..#.#.##...####.###...#.#.#.#.#..##.###...#.######....##..#.#.##..#.#####..###...##.#####.####..##.#.#..##...##.#..#..##...##.#.##.#.#.##.##..#.###.##.#####..##.#.##..#.......#.#.##.....#.##.##..#..####..#.##.##.###.#.#.####.#.#..#.########.#####..#.########.#.#.#.#......######.####....###..#.#.##..##...##..#.##.#.####.##.#...###..#..#.##.#.....##...#######..##...#.##.#.#....####.#..#.###.#.#
##...#.#..#####.##....#.########.......######..###.#.#...#.##....##...##....#.#..#..##.##.##.##.#######.###.#..##....#..#.#..#.#######..#.#######.#####.##..#.###.#.##.##.##.#.##.#.....###.#.....#.#######.##..#.#...###.##.#.##.##.#.#..#.#.##.##..#.##..#..##.###.###.##.##.##.#.##.###.##.##.#.##.###.#.####..#.###..##.....##.##.#......#.#.#.##....###.######.####.#.#.#...####.#.#.#.#.##...#.#....#.###.#.######...##..######.#.###.##.#.##......#.#.#..##.##.#..##.#....#..##.#.##..#.#.#.##.#.###...##.#......###.#.#....###.#.##...#####.#.####.#.#.##.................#####.#.########.##.#....##.#....##.#..####.####..##.###.#.#####.....#...##.##...##.##..##....##..#.##########.#...##...###.##...#.#.#..##..###.##..#.######.##.##..#.######..#.####.#######...##.....##..#.#..#.##.#.#####.#.#..#.#.#.#..#####.##.###.#..####.#...#.###........##......##...#..##.#....###...#.#.#.#.#.#.###.#......#.##..#######..####..#..#.##.##.#.##.#.##.#.#...#.###.######.#.#.##.#..##.....#####.#.##.###.#.##.#....##.#...#.#
#..#.####.....######.##.....#.#..##.##.....###...###.#.#....###.####.##..#.####.#########..#.#......##........####.#.#.##.#.####.#.#...####.......##.....##.#...#.#########..#.#..#.#.####..#.#.#.#..##.....###.####.##......#.#..#..#.#.#######....#####.###.#...####...#####.##.########..#..#.###..#.#.####.####...#.####.##..#....#.##.#####.#####.#..##....##.....###.#.#.#....###.#.#....#.#...###.##...#.#......##.##..##......#...####.#############.##.##..#.####..##.#.#.##..#####.#.###.##.#...##.#####.#.#.##...####.#.##..#..#.#...#.###........#.##.#.###.##.####.#..#..###........###..##.###..#.#.###.#.##.##.#.###.#..#.#.#.#.#.#######.#..#.##.###..#..##..##.##.##.#.#.#...##...#..#.#...#.#..#.......##..###..#..####....#.##..#.##......#.##.##........##.#.##.##.########.#####.#.....#.#.##.#.######....##.##...####..##..###.########.#####..###.##..#...#####.####.#######.###.###.....#.#.#.##..##..#.#.#######..##.#######..###..######.#.#####.#.###.#..###.##.#.#####.#..#.##.#.#...##.#..#...#.#####.#.#.#
#.##.##.#.############..#.###...##...##.####...#..##.#.#.#.##...#.#..#..##.##...#.##.###..#####.#.#..#.##.#####..###.########........#.#.######.#..###.######.###.......###.##.##.#.#..##..####.#...####.##...###....#..#.#.#######.##.###.#.#...##..##....##...#....#####.##..##.###..##..##.#######......#......#.#####....##.###.###.#......#..####.####..#.##..#.#..##.#######.###..#.#.#.##.##.##......#.#.#.#.###########..###.##.#.###.............####..#..##....##.##.#.#.###....##.#.######.#.#.##....##.########..##..#..####.####.#.....##.##.##.#..#.#..#####....#.##...####.##############...##.#.#...#.#.#........#######.#........########.####....##.##.###.#...#.##.......####.#.#.####.###.##.#.##.##..##.##..###.#.##.########.#..##.#############.#.####..#.##..#.......##..##.###.##.#######.#...##...#.##...#.####.##..##.#....##..#......###.###..####.#.#..##...........##..##...####.##.#.#.##.####...........##.##...#...##.##..####.####.......#.....##..##.##.####....####....#.##.###.##...######..###.#.#
#..###.....##.#.##.#...##..##.#.####.##.##...#.#.##..#.###.##.#...#####.##..##.##..#.#.##..##...#.##.#.#....#.#.##......##.#########.#....#.#...####...##.......#.##.##...#.##.#..#.##.##.##....#.#.#.####..#...#.##.######...##.....###.......#####.##.#.####.###.#........##.##.....###.#####.#..###.#.#...#.#.##...######..#######...##.#.####..##...##..#####.####.##........#.#.#.##.#.#.##..#.#..##.#.#.#.#.#...#......######...###...#.#.##.#.###.##.##.##.####.####..#.###...#.####..#....##..#.#.##.#.##.......##..####.##...##....####.#######...#.#.##.##.....#.##.#.##.#....#......#.#.#.#.#####..###.#.#.###.##.###...##.##...##.#.#........#....##.######...#####.####..#.#######..###....#..##..#.#..#######..##.###.....#......##..#.###.....##.###....#....##.#.#..###.########....##...#.#.#.#.###.######.#.##.#........#########.#..##...#.##..##...##..#####...####.####.#.#####.##.#....###..#.####...##.###.###.####.##.#...###.....###......#.#.#.###.#.#.##.###.#.....####....###.####....####.#........###..#.#
#.##...#.#....#.##...#..##.####.#.....#.##.###.#.###.#...#..###.#.#......#.###..##........##..#.#.##.#.##.#......#.#.#.##.....#.#.##.####...##.##....#..#####.#####...##.##.##.##.#..#.#..##.##.#.#......##.###.#.######.#..#.###.#.####.###.####....####...##...#.#.#.#.#.#####..##.##.#.#.###.#.##...#.##.##.#.##.###..##..###.#..#.#.#..#....######.####...#.#..##...#.#.#.#.##...#..###.#..#.##.##.########.#.#.#...##.#..###.##.###..#.#.###..#..#####....##..#.#..##..####...#.#....##.##.#..##.#.#..#.#..##.#.#.####..##..##.#.##.####.....#######.##.#..#.##.##.####..#..#.#.####.##.#...........##..###..###...####.###.#.......#.##.#.##.#.#.#.#.#.##..##...##.##.......##.##.......##...##.###.######.##.......##.##.##..#.#...#######.##.##..#.####...###.###.#..#.#.##..##...####.########.##.........#.##.....####.##.###.###.#.#.##..#.###.#.#.#..####.####.....###...##.######...#.###..#.##...####....###..#..##..#####.#.##.#.#...##.##.....##########.#########....###.#.#.#....#.##.....##.##..##..###.######...##.#
#..###.#.##.#....##.##.##..#....###.#.###..##..#..##.##.##.##...#######.####.######.#.#.#..##.#.#.##.#.##.##.#####.#.#####.##.#........##.#.#...####.####.......##..#.##.##..#.#..#.##.##.#####.#.#.##.#..#.##..#.#.#......##...#.#....########.#.#.##....#.##.#####.#.###...##..##.....#...#.#....#.#.#.####..####.....####.......####.##.#.##...##.#..##..#...#.####.##.#.#.#..##.##.######.##..#.#........##.#.###.#..#.##.#......##..####...##.#.##.#.###.####...##.###..#####.###.#.##...#.##..#.####.#.##.##.#.#.##...####..###.#.....#.#.#...##.#####.#.##.##.####.###.#.####.##.#######.##.#.#.#####...#.##...#.#......####.##.###..#.#.##.#.#######..##..#.#..#..#.#.#.#..#.##.#.###.#######..##....######.###########.#..##.##.####...#.##..##.#####..#..##.#.#.#.####.##.#####......##....#####.#.#####.#.#..#.#.##.#.#...##.........#####.#...#.#.##...####.##.#.###...###.......###.....##.#.##.#....#.#######.##.##.##.#.#.###..#.#.###...#.###........###......#.###.#..##.#######.##.###.#.##...##..##...#..#######..#.#
#.##...####.######..##..##.#.##.#...#.####.##.###.##..#..#####.##............##.....#.#.#.##..#.######.##.##....####..##...#....#.#.#.##..#.##.##.....##..#.#.#########...#######.#..####.#.....#.#.##.#.##..##.#.#.###.##..#.###.##.###....#.....#.##.##.#.#...#.#..#...#.#.#..##..#.#.#.#.....#.##.#.#....##....##.##..##..#.###########.#..#.###....######.#####.##.##.#.####.##.##.....######.#.#.#.###.##..#####.#.####..####.#..##.#.##.#..#.#.##.#.##...#.##.#####...##.##....#.#.###.####..##...##.###...#.#.#..##.##....#######.#.##.#.#.#........#.#..#.##........###.#..#.....#...#########..##.##.##.##.#.#.#.##.#....###...##.####.##.#.......####..##.####.##.###.#.####..#..##.......#.###.##......#...........#.####..#.......###.##.###.......##.##....###...##.#.....##.####....#.##.#.###.....###.####.#..#.####.##..##.##.#...##..###.###.####...##.####...###...##.####...##.#.##..#.##.#.#.##..###..#..###...........##.#.#...###.#######.#.##...########.#.###.##..##......####...#..##.####.#..######....##.####
#####.##.........######.#..########.#...##..#.##...#.##.##......###.#.##.#.###..#.#.###.#.#..##....##..##.#..#.##.###..######.#.#.#.#..#.##.##.#####.####.#.#...############..#.###.##....#######.#.##.#.#..##..###......##.#...#.##.######.#####.#.#####.#.#.#...##.##########.##.##.###.#.#.###..###.#.######.#..#..##..##.#.....##......#.##...##.#...##.....###.##..#.#.##.#.#..##.#.#.....##.###.#...#..##.....#.#....##.##...#.###...##.#.####.......##.##........###.....#.#.##.#..##....##.###.##....##.##.#.##.#...###.###.#....#.##.###.#.#.########.##.##.##.##.####...##.#.#...###......###....##########.#.####.#.##...##.#####....##.#.#####.#####.....###..#####.#....##.#.##..#.###.#...#.##.#######.###.#.#.##..####.#.#.#.#...#..#.##..##.##..######.##...#.##.##.##.##....#.#.##........#.#.#..##....####......#.##.##..######.##.##...#......#.#.....##..#...#.####....#.#.##.#####.#..#.#.#..##.....########.#.#.##.######.#.###.........###..##.###.....#....######..##.#.#....###.#.##..##...##.##.#...#.##.....#
#......##.#.#.######.#####...##.....##.##..####..#.#..#.##.#.#.##.#.#..#.######.###.##..####.##.#.##..##..####.....##.##......#.#.###.##..#.#..#........#####.#..#..#.#####..##..##.###.#.####.##.#..###.##.##.####.#.#.#####.###.#..#............#.#.....#.#.#.#.##........##..#...#.#####.#...##..##.#...#.##.#.###.##.##..##.######.#.#.######.#..##.###.#.#......##.#.#..#.###.##..#.##.#.###...####.######.#.#.#.##.#########.#...#.#..#.#....##.#.#######..#.#.####...##.##.#.##.#.##..#.###..##.##.#.##...###..#.###.#.......###.##.#####..#.#....##.#...#.##.##..#....##.###.#.######..##.#...######.#.######.####...#..######....##.##..#.#.....#....##.###...######...#.#.##..#..#.##..##.#.###.#.....##...#############....#.#.#.#.#.##.#..##..#..##...##....#.#####..##..#.#..#.######..##.#.#####.#.####.#.##...#.######...##.....##.##.####.#.##.#.####.#####.##.#.#..##..##.#####..###.#.#.####.##..#.##.##.#...######..#.###.#..#...#.#.#.#.#####.##......#.###.####..##..##..###.#.####.####.##..#.#.......#.#####.#.##
#.#.#.###.#.#..........##..#.####.#..#.###....#.##.##.###..#.#....#.##.#..##.#..##...#.##....##.#.###.#..###...###..#..##.#.#.#.#.#....####.##.##.###.###.....####.##.#.....##..##...##.#.#.......######.##.#####...###.....#...##########.######.####.##.###.#.#..#.#.#.##..##.##.##.....#.#.#..##..#####...##.#...#.#...#####.....##.#.#......####.#....###.##.###########....######.#.##.#.##..#..#.#......#.#.#.#..#.....##....##.##.#.##.###.##..#.....####.#.#..#####.#####.#.#..#.#..####...############.##...####...#.#.######..##.....##.#.##.#....##.####...#.####.##....#.#........###########.#......##.#.##...#.##.##...#.#.#####..##.##.#########....###...##...#.#.#..##.##.###..##..#...###.#####..#....#.#.....##.#.##.#.#.###.#####..##.##..#.####.#.##.....#.##..####.##......####..#.....#.#.#.#########.#......#.#####.#####.##.#....#.##.#....#.###.#..######.##.######..##.#.#.#####..#.##.##.##......#....####.#.....#.##.#####.#.#...#.#####.##.##.###......####..##.#...#.##....#.#.##.#####.#.#.##..#..###..#
#.#.#...#.###.##.#.#.#.#..####....#.##...##.#.#.####....#######.#.#.#..##....#.###.#.###..#.##..###...##.##..#.######.##..###.#.#.#.#.###.#.##..#.#.....#####...........###....####.###.#.#.#.###......#.##..##.###.##..###.#####..........#........##.#..##..#.#.####.#.##.#####...##.#.####.##..##..#..#.###..#####.#.#.#.#.#.#.#.#..###.#.#.###...#.####...##......#######.#......#.###..#..##.#.##...#.#.##.#.#.#####.####..##.##..###..#...########.##....#.#.#.##.......#.######.#.##....###.......#.#######.#...##.#####...##.##.#..##.##..#..#.#.##########.#.#.#.#####.#.#####.#####..#.#.#....#.#.######..######.#.#.....###.#.##.###.#####...#....##.#.#####.#####.#.###.###.##...#.####.##.###......##.#.####...##.##..#..#.#.#.###.....####...#.##....###.##.##.######...##.##.#.##....##.##.######.........###.#.#.#######.#......#######.#.#..###.#.##.....##.....####.........##.........#..##########..#.#.#######..#####.#.#.##...##..#.#.#.....#.#.##.##.....#.####.##.##..##.##.###.#...######.....###..####.#######
#.####.####....#.#.######...#####.#.##.#.##.#.#....##.###.#.#.#.#.####.##.#.##.##..#.####.#.###..###.##...#.##....#######.#...#.###.#.#...###..#####.####.#...#########...#.#.##.#####..#.#.######.#######..##.......##..##.....###.#.##.#.##.###.####.##.##.##.#...##.#..#....##.#.##.#...##..##..##...##...##.....#.#.#.....###.#.##.#...###...#####.#....#..##.##.##.#.##..#.#.##.#...##.##..#.#.##.###.#..###.#....##....#####.#..#####.#.####.##.....########.####.##.##...##.#.###..##.###.##.#.##....##...#.#.###..#.....#.....####.##..##.#.##.#..##.##.#.###.#.......###....##....##.##.#.#.####...#.###..####.##.#.##.##...#.#.....##...#.#.###.#######..#.#....##..#...###.#.##.######....#...##.##.#####....##.#####..###.#####.#.###.#....#.#.###..#.##....#..#....##..#..#..#.#.###.#..#.##.....##.#########...#.#....##...#.#.#.###.#....#.#.###..#.##.#.#.###.####..##.#.####..##.#.####...##.#......######..##.###.###.##.#.#####.##..##.#.#.#.###.#..#.##.#.#.#.#.....#####.##..#..##.#.#.....###.##...##............#
#.##...##...#.##.#.....###.##...###..#.######.#######.#.........#####...###.####..##....###...##...#..###.#..##.#....##.####.##..##.#...#.####.##..#.#......#.........##.####.....##.########...........#######.#.#####.####.#.##...######.#..##.....###..#..##.##.###.#.##.#.###.#.##.##.######..###.####.#..##.########.###..##.#.#..#.#..##.#.....####.###.##..##....#.###.#.#.##.#.#.#..##.##.###....#.##.##..#.#.###.##.....#.##.....#.#......##.#.#.......##..#.###..##.###.....######.....##.#.##.##..#.#####...##.#.##.####.###.....#.##..#..#.##.........###.#.#.#.#.#...#.##..#####.............###...##....#.#..###...#.#.#.##.#.##..#.#.#........#.###...##.###..##.#.....#.##....#.####.#.#########..###.#.......##.##.....###.....####.#.#.#..###.#.####.###.#.#.##..########.#...#.#.##..##.#.##.........####.#.##.#.##.###.###.....###.##.#...##.#..#######........#####...###.####....###......########.###..#.#........###...##..##.###.#.###...#.#.##.#..#.###...######.#..#..###..###.####.##...##.#.#..#.#.##.#####
#.##.#.####.#..###.#.#.#...####..##.##.##...........#.##.##.##.##.....#...#....##.#..##..###.###.#.#.##...#.##..#.#.###......#..###.#.###...##..##...#.#.#.###.##.#.#..#.##...#.#....####..#..##.##.#.#..####...#.#.....##.########.#......##.##.#.####..##.###.##...#.#..#.#...#.#.##.#.......##.#......####..#.....##....##.########.#.#.##..#.#.#.######....##.##.##....####.########.##.#..##.#####.####...####.#...#.##.##.##..##.#.##.##.###.##.###.#####.###.#...##..#...##.####.##...#.#.##.########......##.#.#..###.....#...##.#.######.#.##.#..#.#.#.#...#.#####.#####.#####.....#.#.#.#.#.######..#..#.####.#.###..#.#.#####..#####.#...##.#.#.###...##.##....##..####.#.##..##.###..##..#........###.#...#.##.##..#..#.#.###...#.#...##.###.##..##.#..##...##.###..##........#.#.#.###..#######..##.#.####.#.#..#.##.#.....##...#.#.#.##...#####..#.##...##.###.##.#.###....#...###.##.#.#####.###.####.......##.....###.##...##.###.##....#.#...###...####.##.#.##..###.#.#..#.###...#.###...###.####.#..####.#.####...###
#..#.#..##..##.#############.##.##...#.##.##.#.##.######.####...###.#.#.#.##.######.####..##...#.###..#.#.#..##.######..####.##.##..#..###.###.##..#.#.###...#.##.######..###.###.##....##...##..#..#.##.#....#.#####.#....##############.##..#..#....##.#....###..#.#.#.####.#######..##.######..##.#######..###.##..####..#.....##...######.##.#.#...##...#.###.#...###.##.##........###..##.##...#.#...####...##.#.#.#..#.####..#####.##.#...##.##.##....###...#.#.#####.##.##........###.###.##..##.##.###.#.###.###.##...#.#.#.###..#.#.##...#..#.#.##.###.##.##..##....##.....##..#.#####.#.#.#..###...###....#.#.###...##.#.....##.##....#.##########.#.#########.####.##.#.#..##.#..###.#######.##.##..##.#.#.#.##..#########...##.####.####..##.###..#.##..#.###...##.##..#.#.####.#.#..#######...#.##..#....#.#.#.####..##.#.##..#.#.#.#..#.#.##....####..#......#.##.#...#.##.#.#..#...###.#..##..##....#.########.#.#########.#####.#####.######.##...####.###..#####.........#######.##.##..#...###....##...##.#....#####.#
#.#####.##.##.......##.............#.#..####.#.#####.##..#....#.##..#.#.#..#..##....#.#####..#.#...########.##.......##.##...####..##.##.....#.##.##.###...#.#..#....######...######.######.##..###.#.######.##.#.....##.#...#.##..##.#...##.###.#.#.##..#.#.##...######.##.....##.###.##..#...#####.####..##########..##..##.########..#.##...#.#.#.#..#.#.#...#.#.###.......##.#.########.#...###...#.###.######..###.#.##....#.##.#....####.##...#####.#...##.##....#.#..#.....##.###.#...##..###.......#######....##.#..#.#.###..##.##...####.#.####.########...#.##..#.####.#.####.#.....#.#.#.##.....#####.##.......##.###.#.##.#######.#.#.....#.#.##.......#.#....##.....#.#.##..##..........##..#..##....#.###..#.####.#.####.##.....#.#..#.###...##.###..##...###..#.#####.#....#.#.##..###....###..##.#.#.####...#.###.##.#.###.###.#.##.#.#..##.#...##.##.######.##.#.###.#..#.##...#...#...####.##.####.###.##.#.#......##.####.#..#####...###...###........##....##.####.#.##.#.#....#.###.###..####.##..#.##.##.#.##.#..#
#..##.###...##.#.##..##.####.##.#.##.##.#....#..##....##.#.##.#.##.##.#.##.#######.##.#.....##.#.#....##.....##.###.##...###..##..########.#.#.#######...#.###.##.####.##.###....##.......#..##...###.#.#....##.####.##..###....##......#.##.#...#.#..##.###.####....###.##.#.#.....##.###...#.#..........##.#.#.##.##.##.###.......###....##.##.###.#.####.##.####..###.#.#.#####....##.#####.##...#.#.......#####...###.####.##.#..##.#####..##.#..##...#.#.##.#..#.##...##.#.#.########.#..##..##.#.###......###.#..#.##.#.#.##..#####..#....#.#..###..###...#.#########...####...##.##.#.##.#.#.##.###...##..##.#.#.###....#.###.......##.#.#.#.#........###.#...##.#..###.#.#.#..##.#..#.#####.###.###.##.#.##..##.##.#.........#..##.#.##...##...#.###....##..#.#...##.#.....#.#.#.##.#..##.....##...#.###.#.#...##.#....##..#.#...#...###..#.####.##.#.#..#..#.#.#.####..#.######.#.##.#.##.###.###.#.##.............###.##.###.....#...##.##..#...###...###.##.#####.####....#.#......##.###.#.....#.##.....##.####.##.#....#.##
#.###..#..#.##.#..##.##.##...#..#.#...#####.###....#######.##.#..###..#.#...##........##.##..#.###.#.###.#.###....#.####.##..####....##....#.#...##....#.#..##.##...#.....#.###.####.##.####.#..###...#...#.##..#.....##...###.###.#.##.#.##.##.##.##.##.#......##.#...#.####.#.#.#..###.#.########.##.##.........#..#.##...##.###.##...########.#####...##.#.....##..######.....######......####.#.###.#.###....##.###......#..###.###.....##.##.##..##.####..#.##.#.###.##..#.#...##...######..##..#...####.###.#.#.#####.#.#..##.....##.#.##.#.##...####.#.###.....##.##.#...##.#.##.##.#.##.###..#.###.#..##.######.########...###.#####..#.#.#.#.#.##.#...#.#.#.#..##..##.#.#.#######.##...#####.###...####..#.#####....######.##.##..#.##.#####.##..###.###..##.###.#####.#.##.#.#.#########.#.###.#.#.##..####.##..##.#..##.###.####.##...##..##..#..#.##.##.#......########.#########.#.##...#.....#.##.#.##.#.#.#.##...##.....#####.###.....######...#####.##...##.....#.#.#######.#.##...#####.###.#####.##..##.#..#.#.##....#
#...##.##.#.##.#.##...###..#.#.##.##.##.....####.#.......###..#.#####.###.####.#.#.#.##..#..##..##.#...###...##.#.#..###.#..###...##..##.#.#.##.####.#.###.##..#..#...#.#.....#...##.##...##.##...#.#.##.##.###.###.#.##.#.##....#.#.#..#.##.#..#...####.##.#.###..#######.#..#.####.###......#..##..#..#.###.###...####..#.#....####.#.....##.###.....###..##.#.####.....###.######.###.###.##.#.#...###...##.#.#....##.##.##.####.....###..#.##..##.#.....#.##..#####....##.#.#.#....###......####.#.#..##......#.######..#.#.##..########..#.###..#..........##.####..##.#.#..#.#..#.##.#..###...##...#.##.##..##.####.#.#.#######...##.#.##.###.###.##.#####.######.###..#.#.#......##.#..#.........###...##.#####.#..##......####..##.####...#.#####..##...##.##..##.#.##..#.##.#.#...#..##...#...#########...##.###.##.#.##....#....#..###.##.#######.#..#..#.##.#####.#.#.##.#.#.#.#.###.##.####.##.#..#.######.###########.#.###.#.#..##.###....##..#.....#.##.#####.######......##.#####.##.....##.....##.###..#.#########.#.##
#.#.#.....#..#.#.###.##...####.##.##..#.#.#..##..##.#.#.##...##.##....##..###..#.###..##.##..##..#.#.####..#.##.#.##.#...#.##...#..##..###.#.#...##..#...#####.##.#.#.#.##.#.##.###...##.##...##.####..#.##.#.###...###..#..#.#.#######.#.##.##.#.####.####.######...#..##...##....###...#.####.####.######.....#.#....#.##.##.#.##...#.###......##.##...####..#..##..#.###......#.........###....#.#.##..######.##.###...#.##....#.#.#...#.##.#..##..##.####..#.##.....#.##..###.#.#.######.##...####.####..##.######.#.#.##.#..##.....#.##.##.####.#.#.####.###....##.###.#.#.####.##..#.##...##.##..######.###.....###.#.........###....####.##....#.##..####....##..#.#.##.###.####..#.##.#.##########..#..#...##....####.#.####.########.#.#....#.##.##..#.##..#.##.....##.#..#.#.#.#...####.##.#..#....#.######...#..#.#.###.###.#.###.##..##......####.#####.#...###.......#.........##...#.##.#######.#......#......#####..#.........##..###.########.#.###.##.##.##...#.#..#.####....##...##.##.##.##.##..#...##.........#.####
###.#.#.#.#.##.#..##.#..#.#.....#..##.#.#.#.###.##..#######.##...##.#.##.##...##.###.##...#.########..##..##.#..#.##.##.##.####.##..##..##.#.##.####.#.#.#.....##.#.######.#..#...###.##.###.#####.#..##..###..###.#####.#.##.#.#.#.##..#.#..#..#..##.......###.#..#...####.########...#.#........##......#.#.#.###########.##.#.#..###...#.#.#.##...##.###...###..##.#..###.#.#...##.#.#####..#.####.##.###.######...##.#####.#.##.#.#.#.######.######...######..#####.#..##...#.#.#.....##.##.#....#....#.##...#.#...#.#.##.#.####.####.#######....###..##...##.##......#.#.#...##..#.####..###...##.##.#.###...#.#.......#.##.#####..##....###..#.##..##....#.########...#####.....#.#####.#.......###..##.##.#######..##..#...............###.#.##.######.#.##.######.#####.#.####.#.###..##...####...##.....#.#..#.####.#..##..##.###.####.####.#.#..###.....#####.....#.###...##.#.##.##.###.........##.#.##.#.#.#.##.....##.##.#.#.######.#...##....##.#####.##.....#.#...##.#....##.#..#.####..###...#..##.###....#.#.##.##....#
#...#.#.#.#.##.#.##..######.##.##.#####.###.#...###......##..##.##..#..#.##.#.##...#.###.##.....#.###.##.##..#.########..#...##.###..#.###.#.#...##..###.##.##.##.#...##.###.##.#..##.##...#.#.###...##..#####.....##....########......##.#####.#.####.##.#.#.....###.##.##..#.#...##.##.#.##.##.##..#.#.####.#......##.#.####.#.#####..#.#.#.#..#.#.##...#.#...##.##.##.#.###.##.#######.#.####...##..#........##..#..#.....#.#.##.#.#.#.....##....##..#...##.#####....#.###.#####.##.#.##..##.#.#####.#.###..#.....#...#.##.#.##.....#....##....##..##.#####.##.##.##.#.#.####.########.###...##.##.......#####.#.##.#.##########..##..##.#..###.####.###.####....#.#...#..##.##.#.##..##...##.##.###.#.###..#..##.....##..##.######.##.##.#########.#..##..#.##.#.##.....#.###...##.#.####..#.#..#.#.#..#.#.#...##.#..###.#.##..##...##....#...##.#.####...######..##.##.#...#.#..######.##.##..#.#.########..#.#.#.###########..#.###.....######....##.##.....#..##.#######.###########.##.#.##...##...#.#.##..#...#.####..#####.###
#.#.#.###.#.######..##......##.##..##...###.##.##...###.###.###..####.##..#.#..##.####...###.##.....#.##..##.#...##.#...##.###..#.#.##...#####.#.###...######...#.#.####...#.#####..#.##.###.....##.####.##....#.###..##....###...#.##..#.###.#####.....#.#.#####..##.....##.....###...###..#..#..##.#.###....######.......##..###.....##.#####.##.####.###.###..#..###.....##..#....#.#....####.#.###.##.##.##..##.########.#.#.##.###.##.#.##..#.##..##.#......#.###.####.#...##...#.#.###.##.#...#.#.#...##.#.#####.#.#.##.#.##.#.#...######.###..######..####.##..#####..##........##.#.###..#..##.#.#.##.##..#..#.#........#.#.##..##..#.##......#.#......####...#.#.#.###.##.#..#.#####.##..#.....###.#.#######.##..##.##......####..#.............######.#....###.##.....##.##..#....#######...########.#.#.#..##...#.#.##.##..#..#.####.#.##.#.##...#......#.##...#.#.###.##...##.#.##.##.##.#.####.##..##.#.#.........#.##.#...#####..###...#.##..###.##.#.##....#.#.#....#......####.#..##.####.####.###.##.##...###...#######
#.#####...#......#.#####.##.##..#.##..#...####.##.#..##.#.###...##....##.##.#.##...#####..##..###.###..#.##..#.#.##...#.#...###.#....#.#####...#.#...#.##.....#.#######..#.#....###.#.#...##.#.######....#..#.##..##.##..####.#####.###.###......#..###.#####.....##..#####..#.#..##.###...##.###.#..#...##.#.....##.#########.#...#.#.##.....#..#####....#.##..##.##...#.#.#..##.##...#.####..###...#.##..#..##.##.......##.#.####.#####..#..#.##..##.##.#.#.####.......##.#.######.#####....#.#.#...#.#.#.#..#.....###.#..###.#..####.####.#..##..##.##.#.###.#.###.....##.##.##.#.#........#.#####..#.#.#...##.#.##.##.#.#.#......##.##.##.####.#.##.#.#.##..#.#####.#.#..#...#.#.##...##...##.##.##...#.#..####....##.#...#########.#.####.###.########..##.##.#..##.##.##.#########.######.##..#...###.#########..##.##.#.##..##.##......###..#.#.##.###.######.##.#.###...####.#....#..#.##.##.#.......##########.##.###....###.########...###.####.##.#..#.#..##.#.....##.#...####....#.#.##...##.....#..##.##.##.#...#.#..#.##.#
#.##....###.#.#.##.#.....##.#..######.##.##....##.#.#####..#..#.#..#.##..##.#.###.##.....##..##.....#.######.#.#.#..#.#.#.###.#####.##.....##.##.#.#.#..#####.#.........####.##...######.###.####.....#.###.####.##...##.......##....##.##..#.##...##...#.....###..##..##.##.#.#.##....###..#...#.#.##.#######.#.##..........#.##.##.#..#.#.#.##..##...#.##.#..##..##.#.###.##.#####.#...#....##########..##.###..##.#.#.#####..#.#....###.#.####..###.##.#.#....#.###.#.#........##....##.#.####.###.#.#.#.##.#.#.#...#.##..##.##.##...#....#.####.............#..##.##.##..##.##.#.####.###.#....##.##.#...#.##.#.#..##.#####.#.##..#..#.##..###.#..###.#.###....######.##...###.#.##.#.##.#..#..#.##.#...##....#.#####.#.#...###.##..######..##....###.##.####..##..#.#...###.##.##...........##.#.#......##.#.#.##########..#.##..#..#.####...##.######...........###...#.#.##...##.#.#.########.###.###....#.#.#.###....##.#..##.......##.###......####...####.##..#.#.#.##.##.######.#.#######.####.########.##.##.##.#####......#
#.##.######.###..####.#.##..##....#.#.#...##.###..#.....##...####.##..#.##..###....###.#.###.####.#.###..##..#.#.#.##.#.#####..#.##.###.#.##...###.#######.##.#.##.##.#...#####.#..#..####......#####.#.##...##...##.##..#.##.##..#.##..#..####..#..###.##.######.####....####.#..##.#..##.##.#.###.##......##.#..##.#.#.##.##########.####.#.#####..#.#..###.##..##..###...##.#.##..#####.####.......###..###...###.#.###...##...##.#..##.#....##.#...##.#.##.#.#.#...#.###.#.#.##..##..###.#.##...#.#.#.#.##.###.###.#####..####.##.#...#.######..#.#.#####.######...#..##.##.#..#....#####.##.#.##..####.##.#..####.#####.####.##.###.#####...###.####.#..#####....##..#..#...###..#.#.#..#.##.##..#.#.#.##.#.####.....#.#.###......###.#.#.####.#..........###..#.##.#.#..##.....###.#.#.#.####.#.#.#.##......#.##......##.##..##.#.##.#####.######.....#.#.##.####...#.#######.#####.#....##.....##...##.###.......###.##..#.###.#.##.##....##.#.####.###...##.#####.###.#...#......###.....##..#..#........#.##.##.#..#.##..#.#.##
#..#.####.#...##...##.#..##.#..#.##.#.###..###...###.##.###.###....##.###..##...####...#...###....#..#..####.#.#.#.##.#.#...##.#......#.#..###.#....##..#.....####..#.##.##...######.##.####.#.###....#..##.####.###..####..#..##.#####.##.##...###.#...##.#.......##..##....#.#.##..#.###.##.####..#..###.##..#########..#.#.#.###....#..#.#...##..##.##...#..##..#######.##.....##............#.#####.######.#...#.#.....#.##.#..#.##.##.##.#######.###.#.##.#.#.##.#####..#.#..##..##..##....##.##.#.###.#####....#...##..####...####.####..##..##.#.....#......##.############.#.##.....#..#.#.##.###.####.##.###...........#..#...####.#..#.######.####...###.######.#.###.###..##.####.#..#.##.##.#.#..#.###.#..###.#.#.....#.##.......#...##.##.#########...##..#.####....#.####..#.#.#....#####.#..##.#.#......####..#.##.#####.##....####.##...##.####..#....###.####.##.#....####.#.##..#.#.#..###......#.#.#..######.#...#.#..#..######..#.......##.#..#.....#...#.#.#.##.#.####..######.###...#.#.#.#####..#.##....#########
##.###......#########.#######.#####...#...##...#.##...###.....##.###...###..#.#....##.####.##..##.##...##....#####.##.#.#.#......#.##.######...#.#.####...###.##...####.....####...........#.#...#.#.##.##..##.....##.#....#####...##...#####.#...####.##..###.#.#..######.#.######.#####..##....#####.#######....#.#..######.#...#.##...##.#.#.##.###.##.####..####........##.#.###.##.##.#.#.##........###.####.####.###.####.#.##..#.##.#....#.##..#...#..###.#.##...##..##.##..#.##..##..#.##...###..##..##...##.#######..#.##.###........##..##..#.##.#########....#........#.###..##########.##........###....##.#.###.####.##.#......##.#........##...###.######.#.#..##...##..###....#.##.#...######.#...#.######.#.##.#.##.##.####.##.#.##.##.##.#...####..#.##.##...##.#####..##.#.#.##.##.####.#####.##.#.#######.#..#..##....######.#...##.##..#....##.##.##...#......##.###..#.####.####.#.#####.#.##########..#.###.#####.##.##....##.##.#.####..#.##.#.#.##.####.####.#....####.##.#..###.####.#..##...######.#...#.#.###
##.#####.##.#.##..#.####........#.##.##.#####.##..#.#...###.#######..#...#.##.##.#..###.##.##.###.#######.##..#.#..##.#.#.##.###.###......####.###.##...#..##.####....########.#.######.#.##.#.#.#.#..#.#..####.##..######.....##.####.##.....#.#.#....##.##...#.##......#.#...##.......##..#.##.#..........###.#.....####.#....#######.#####.#.##.##..##.##.###########.#.##..#...###...#.#.#####.#.#.#...#..##...##....#....######.####..##.#....##.###.#.##...#####.###.###.##.######..##.###..#...#.##..##..#..#.....#.##.#.#..##..##.#.#..##..##.#.##.#.##.#..##.#...#####.##...##........##..##.##.#.#..###.###..#.##...#########.#.#.##.###.######..#......#...#.#.#.####.####..####.#######.#..#.#.###.#......#.###.##.###..##....####.######.......###.#####.##.#..#..#...#.#.##..###.##......##.....#..#.#...#...####.#.####.#..........###..##.##.##..#..####.#...##.####.....##..#.###....#..#.####.......##.#.##.##..##.#...#....#.######.#...###.#..#######....##....#.#.##.......#.#.##.....##.##..###....#.#.#.#......##
#..#.....##....##......###.#.##....#.#....##..#..##.##.####...##....##.#.#.##..#.#.##.......#.#....####.#####...##.##.#.####.##....##.#####.##.#...##.#.##.####....##...............#######..#.#.#.##.#.##.#.#..###.##.#...##########..######.#.####.#.#...###.#.#..#.#.##.#.###..#.#.#.##.########.##.####.#...#.###........##..#.#.##....##.#.########...........##....#..##.#.#...##.##.#.....#####.#.###.#########.###.##....#.###.###..###.##.##.#...#..###....##.##....#.##...#.##.##....##.#.###.##.######.##.###...####...####..###.#.###.###.#.##........###.###.....###..###..#.#.#########.#######..##.###.##.###.##.......#.#.#.##...#......##.##.#.###.###.#.#..#.#...###..##..###.###.##.......#.#.#.####.##...#...######.#..#.#####.##.#.###.........#..#.#.##.##.###.#####.##..##.#.####..#.#.#.##.#.#...#.###..#.#.##.#.#.####.#...##.##.##.##.##.###.#.#.#.#####.###.#####.....#.##.##.....##.#.#.#..#.#.....##....##########.#.##.#####..##.##..#....#.#.####.#####..#.##.##...#..###.####..##.##..####...#.#.##.#..#
##.#####.##.##....###.##...####.#.##.##.#..#.##.######....##.####.#..#.###..##.###..###.##.####.##.......#.##.#.##..###.##...###.####...#.#.##.###.##.###....###.#.##.##.#.#.#.#.####.##.##.######.#######...##...###....#........##..##......#.##...####.##...#.##.#.#.##.#...##.#.#.###........##.#.....####.##.#####.#.#.##..##....#.##..#.###.##.###.####.#.##.###.#.##.##.#.#.###..##.##.#####..#.#.........###.....#..##.#...###.#.##.#...##.##.#.#.##..##.#########.#.###..#...##.##.####..#..####....##....#..##.#...###.#####.####.#...#.#...#####.#.##.##.#...##########...#.##.#...##............####....###...##....#.##.####.#..##.###.#.#######.#.........#.#.##...#..##.####..#....####.#.#######.#...##....###.###.#.#######.###....###..##.#.#.#.#.#.####.####........##..##.##..#....##.###.#..###.#.#.#...##.#....#.#.#...##.#####...#.####...#.....#.#.#...#...######.##########..#..##.###.#.####.....##.###.##.........##......##.###.##..##...####.#..##.....##.##..#.##.######......#####.##.###.##.##.####.#.##
#..###...##..#.##...#########...####.#..#.##..#.##.....#.###########.#...#.###...####...##....#.#..#####....#.#.#..##...##.###......#.#......#.##..#..#...#.##.#.#.##..###.#.#.#####.....##...##....##.##..#.##########.###.###.#.##.####.##.####..#.#.....##.##.#..###..###.#..#.#.#...##.########.##.######..#.....####.#####....#.#####.##.##..##......#######...##.####.####.########...#.......##.##.#.#.##...##.#.###.##.##.##.#...##.##.######.###..##.##........##.#...##.#.######.....##.#.##..##.#.###.#.#.###.#.#..##...##.....#.#.#####.#...##..#.##....#.#.##.####.##.########.#..##.###.###.#######.#...##.###.####..#....####.#..##..###.#.#...#.#.##.######..#.#.##.##....##...##..##..#.#.##..#.##.####.#..##.##......#.........##..##.#####.#.#.#.#..##....##.##.##.####..#.##.###.###..#########..#.#.#.#..#.#.####.#.#.#..#.####..#.###.##.###.##.####.#.#.#.#..........#...#.###.#.###...#.#..##..#.######.######.##.##..##.#.#......#..##..#.#....####..##.#######..##.#.....##..#.##...#.###.......#.##....#.#..#
##.#...#.#..##.##.###.........#....#.##.#..##.#.###.##.#....#.##.....#.#.#.##..#.##...#.#..####.##....##.#.############.##...##.#.#.#.##.#.#######.##.###.#.##...#.##.####.#.#...#...#############.##.....##..##.........##..##.#######...##....##.#.#.#.#.##.##.##..##.###..##.#.#.###.#.........###.......##.##.##...##.....##.#####.#.########.####.##....#..#.#.#..##....##......###..#.###.##.######.#.######..###..##.##.##......#..###.....##..#...##..#..####.#.#..##.###.#......###.###..#.#..##..#.#.#.###...#.#.##.##.#..##.##.#.#.###...#.#..##.#..#.#.####.........##........#.#.#####.....#......####.#.##.#.#...###.##.####.###.####.......###.#.#..#.###.#######.##..#.##.#..####.##..##......##.##..##..#.##..##.##.#...##.#.#.####.##.....#####.####.#..####...#.##...##.##.##..##...##.........##.#.###.#.####....#####.##.#....####.##......##.####.######...#.#.#.#.#.##.###.#.###...##.##.#.###.##...#.#......####...##.##.#.####.####..##.###.##...##.##.......##.######.#.##..##..#.#.....###.#.###.#..######.##
#..#.###.#.##...#...###.###.###.#.##.#..#.##..#.#....###.##....####.##.#.#..##.#..##.##.##....#..##.###..###.#.##.......#######.#.#.#.##.#####.....####...#..###.#.##....#####.#...####....###.#....##.##..#.##########.##..###.....#.#.#..###.##..#####.#.##.####..##....#.##..###...#.##.##.#####...##.####..##.##.###..#.#..#............##.#...##...##.#...####.##.##.#.###.####...##.#####..#......#.#.....##########..##..##.#.#.##...##.##.######.####.##....#####.###.#...#.#.##..##.######...###.##.#....##.#.#.#.##.#..##.#...#.###.#.###.#.#######.####..##..##.#.#.###.##.##.##.#.##....#.#.##.#.#....###.##...#.#..#######.....##..##..#.#.#.#...#.#.##.......#.##...#.##..#.##..#.#..##.###.#.#######.##..##..##.....###.#..#######.##.##.#.####.#####.#.##..##..#.#.##.#.##..#.#######.####.####.######...###...####.###.....###.##....#.#..##.###...........##.###.#.#.###...........##.#..#..#.#...###..#.....####..##########..#....#.##.##.#...##.##.#.#...##.##.#..######.###.######.##.##.##.##..#...#.##......#..#
########.#..##.###.##...#...##..#..#.##.#..########.###..##.#.###...##.#.#.###.#.##..##.###.###.###...##.......###.#.#.##.##....#.#.###......##.##.#.####.#.###..#..##.#..#.####.#......####.#.#.#.###.#..####...........##...#######.###.##....##.##....#..#.#....####.#.#.###.##..#.###..##....#######..####..#.##...######.##.#.##.##.##....#.#....#..###.###.##.#..##.###.....##.###...##.####.##.#.#.#.#.#.........###.#..##..#.#..#.#.##..###.......##...##.#...##....#.##.##.#.###..#....##..#.##...#.##.#..#.###.#..#.##..####.##.##.....##.#..##........######..#####...#.##..######..####.#.###..###.##...#..##.####.##.##.#..#####..####.#####.##.##.#.########...##.#.#..#.######...##.#...##.#.......#####..##..####.##...#.###.#.....#..#.#............####.####.######.#..##.#......##.##...#.####.#.######...#....#...##.####...###.#.#.##.##...##.###.#.#.##....#.#.#..##.#.###.#.################.##..##.#.######.##.#.##.###.###.###.....#.##.###..######.###..#######.##....###.......####..#.##.##.#######.##.#####
###......#.###.#.######.##.##..##.##.#..##...#.#.##.#.#.#####.#.###.##.#.#...#.#####.##.#...#####...#.###.##.#..##.###..#.####.##.#..##.##.#..#.##.#......#...##.#.##..##.....##.#.#.##........###.##..##..##..###.#.#.#..#.#......##.##...##.#.##.#..##.#.#######....#.#####.#.##.#######..##.###.....##....####.#..#......#..#.#..#.####..#.#####.#.#.####.#....#.#####.####.#.##....#.#.....#####..#####.#.##.##.#.#.#.###.########.##.#.##.##...#.#.#.##.###..#####..#.##.##.#..#...##.###.####.######.###..##.########.#.###..#.###..#..#.###..#.####.#.#.#.....###...###.###..#.####.###.#....#...##..##.##.####.##.##...........####.#######...###.#######.......####..#####.##.....###.#####.#.##.##.#.##...#.#.##..####...##.##.......#####.##.#.##.#.#.#.#.#.......#....##..##.##.#.#.####...#.#...............#######.###.##...#.###...#####..#.#..###...##.#.#####.#.###.##..#####...#...#.#.......#.######..###......#....#..#...#.#....##.#######....######......##.##.#.#.....#######.#.##....##.###..##.##..##...#.....#
#...###.##...#.#.##.#...##.###..#.####.###.###......#....##...#.##...###.#.###.##.#..######.....###.#..##..###.#####...##.#.##..#.#.##...#.#.##.#..#.#.#.##.####.#.###..##.#######.#..##.####.##....#####.###.##...#.#.#.####.#.#.##.....#.##.#.#..####..#.##......#######.#.....#...##....##......#.####.##...##.#.##.###.#######.####..##.#...##..#.###......#.##...#.###..#.###..######.#.#.....##....##.#..###..#.#...##...#.##.##..#.#.#..#..###.#.#.#....##.....##.###..#..#.##.###....#...##..#..##...##.#.........#.#...##.....##.##.#...##.#..#.#.#.#.##.####...#...#..#####........######.#############....#.##..###.#.#.#.#..........##..#...#.#.#.....#######.###.....####.#.#.#...#.##..#.##..###..##.##....##.#....#..#..#.#.###.....######..##############.##.##.#####.##.#..#.#...#########.#.#####.#.#.#####.####.######.....##.###.###.#########.###.#.....#######..##.....###.###.....##.##........######.#######.#...##.#####.#.##........##.#####..####.####........#####.##.##.#.##.##########..#.#..##..#.#######
##.##....##.##......##.##...###.#..##..##....#.#.#.###.#..##.##.#..#.###.#..##.#..##..##.##.#.###...##..##..####.##..#.##......####.##.###.#############.##.##.#.#...##.#....#..##.##.##.###...####.##......#.#..#####.#...####.#####.##.#.##.#.##.#....##.##.#.##.###.#...#.##.####..##.#..###.#.##.###...#.######.##...###.#..##...##.#####.#..##.#...#.###.##..###...####.....##......#####.#######.#..###.#######.#.#..###.......#.######.###...#.###.##.#.##.#.###....##.##.#.#...###.###.#####...#####.#..#.#.#######.##.####.########.#.#.####.##...#.#.##....#.#.##.#####.###.#.#.##..##......#.#.##.##.#.#.##..####...#####.#.#####.#.###.##.#.#...##.##...........###.#....#.###.#.#....##.#.###...##.##..#.##..#.##.#.#.#######...#.#.#....##..###.#.#.#.#.##...#..#.##.#...####.#.#.#......##...#....######..........#.#####..#.####..#...##.###.........#.##.####.....##..###.###.....##.#####.######.######........#.#.#.#.......##.#..##.#.#.#.##.......##.......##.#.#####.###....##.####....#.#...##.#...######.......#
#..#..#.##...##.######..#####...#.####.###.###.#####...####..##...##...#.#.######....##.....#.##..#..#.####...##..####.###.#.#...##..#...#######.##.......###....#.#..####.#...##...####...#.#.#....##.###.##.######...#.#...##.##....#..######.#..##.#..#.#..####.......###.##..######..#.####.#.##...##.#####.#....###.......####.##.....##.#.##..##.#####...##...#.###.###.#.####.#.#..##...####.#####...#.....##..###.###..#.#.#.###..##..##..#.####..##.###..#...##.#.#...#.#####..##.##...##...#..#.#####.#.#...#.#.####...##.##.#.##..#.#....#.####.#.###..#.##.#.##.........########.####.#.#...........#.#..##..#####.....#.#.#######...#..#.#.##.###.##.#.#.##.##...#.##.###...#####.##..#.#.#.##.#####..####..##..#.#.#.....####.######.##..##.......#.#.#.######.##....###.##...#.#.###.#######.####...#.##.#.#.#.##.....##..##.##.##...#..###.###.#.#.###.#..##.##.######.##...##.##.##......#......#......#.#.#.##...#.#.#.##.##.##.##..#.#.######.###.#.##.#.#.#..#.#....#......##.##..##..##.....####.######.....#######
##.##.#..##.###......#.##.....#.###....#....##.#..#..#...##.##..#.##.#.###...##...##..##.#.####..##.##.#.#..#....##....#...#.#.###..##.#.....##...#####.###...#.#####.#....#.###..#....#######.##.#.##..##.##.##.....###.#.###...##.####...##...##.##.#.##.##.#....###.#...#..##...##.####.##.#.###..#.##.##....#.##...#.#.#.#.####....######.#####.##.##....#..#.#.#..##.....#.#.####.##.#..#....#.#.#.##.##.#.#.##.##.....#.##.#.#.....##..####.####.##.#..##..##.####.####.#####.##.##...##.##..#.##......##.#.#.#......##..###........##.####.###..##..#..#######..#.#..##.#.#####.#.#.###.####.#.##.#.#.#.##.######...#.##.######......###.##.####..####..#..#.#..#.##.#####...##.###..#...########.....#.#####.##.####.######.##...##.#.#..#..#####.#.#####.......##########.##...##.####..##....##......###....#.#.#.#..#.##.##..###....####.##..##.....###...#.##.........##.#####.#####...#.##.#.##.#.###.##########..#.###.#.#.###########.####...##.....###..#.###.#.##.##.#...#.##.##.##.####..##.#####........#####.......#
##.#..##.##.#...######..##.#.##..###.#.##.#.##.##...###.##...######..#.##..###..#.##.###.#....##.##.##...##.#.#.##..#.##.###.#...#.##..##.#.#####.........#.#.#.#.#.####.#.#.##..##.##.......#.######..##..#...###.#...###...##.###.##...######..###..#..#######.#..####.########.##..........#...##.#.##..##.########.#.#.###..##..##......#....#####.###.#.##.#.###.##..#.#.#....##...######.##.....#..####.#.###..##.#.#.#..#.#.#.##########...##......#.####.##....#..##.........#..##.##..#####.##.##.###..#.#.#.##########...#.##.#.##...##...##.###.##.....#########..#.#....#.......#...##..#.##.#.#.###....##.#.#...##.....##.####...####....#.##....##.##.#.#####..#..###.##...##...#..##.#.######..........###....##.#.#.######......###.....#.#.......#.#.#..........#..##.##...##..##..##..##.###..##.####.#.#.#.##..#..#.##.#.##....#..##.#..#.#..##.#.####.##.######...#.##.##.#..#.####.######..##.#####.#.#..##..##.#.#...#.##....#..##..#.##.#.#...####.##..#..#.##.##.##.##..#..####.#.##...##.##.#.#.###.##..#.#####
#..##..#.#..###..#####.#####..##...###..#.######..#..##.####..##.###.#..##.#...##..#.#...#.##.##.##..#.#..#.#.#####.#.#..#...##.######.##.####....###.##.####.#......##..#.#..##.##.##.#########......####.##.##...##.##...#..###....##.##......##...###..####.#.##..###......#.#.#..#.#.#.#.##.####.#..##........##...#.#...##..##.##.#.#.##.####.#...#.#.#..#.#.##..###.#.#.##.###..#..#.##...###.#...###.###...#.#####.###.##.#.#..........#.#..#.#.##.#.#.#..#..#####..#####.#.#.##.#..###.....#.##.##.##..##.#.#.........##.#.#..#.#..#.#.##.#..###.###..##.##.###.#.#.##.##.#...#.#.#...#####.#..#.#.#...##.#....#.##.###.#.###.....#.#..#.##########.#..#.####.....####.##.#####.#####.##.........##..##.###.#######.##.........########.##..#.#.####.########.#.#.#.##.#######..#.#..##..#####.##....####..########.###..#####.#....###.##########.####.##.#####..##........#...##....##.#..##...#.####.##.........#.##..###.#.#.#....#.#.##.##..##.##.####.###...#..##.####...####.#..##.##......##.#.....#####...#..##.#.....#
##.##.#####.####.....####....####.##...##..##.#..###.##....##.#......#.##..##.##..##.###.#..#.##.#..##.##.#.#..##...#.##.#.#.##....##..##.##...#.##...##.#.#..#.#.#.####.#.#.##..##..#...##...######.##.##..###..#.#...#.#.##..####.##..#..#.##..###..###..##....###...#.######.####.#.#.#.#.##....#.#.###.######..##.##.#.###..##...#.###..#..#...##.##...#.##.#####..##.#.#.#....#.##.##....#...###.#.......##.##...##....#.#..###.#.###.#.#####.#.#..#.###.##.##....###..##...#.#..#.##..###.##.#######..##.##.#.#.###.#.###..###.####.##.#.##.#.##...#...###..........###...###.#####.#.#.#...#.#.##.#.#.#..#.#.####.#....#.#...##.##.#.##..........#.#.#.##....##.##.##......########.....##.##.#.#..##..#..##.......########.###.#.#....#..#.####.##.#.....#.####.#.#..####.##.####.#.####.....#.###.####.##....##..#...##...###.####...#..#.....#.#.##...##.....##..##.#####.#.###..#.######..###...#.#######.###.#.###..##.###.#.##.#...####.#..###.##..#.###.###.#.##....####..#.####.########.#..#.###.###.....#...##..##.####
#..##.#.#......##.##..#.#.#.##....##.#..#.###.##..##..##.#.#######.#.#.##.##..###.##.##..####.##.##..#..#####.###.#.#.#..#.###..#.####.#...##.######.##....####.#.#....#.#.#..#.####.###....#..##........#.###..##.###.###.###...##..##.##.#..####...##...##..####.#.#.#...#.##.##.###.###.#####.#####.##.......##.##..###########.#.#.#######...#.#...##.##..#..#####..###.####.###.##..#.##.#.###...#.#.##########.####.#.####...###...#.###.#.###.#.##.#......#..##..###.####.#.#######.##.###......#.#####.####.#..##.#...##.#....###.####.#..#..###...#.#...#.##.#.#...#.#..##.....###.#.#.#####..#####.#.####....#.#.#.##.##.##...#######.#.#.#.###...###..##..#.#.....#.#.##.##.#.####.##...#.#.####..##.###.####.##.........##.....#####.#..#####....#.#......###.#####........##.#...###.#.##.#.........#.##....##.#..#.###.######.#.#.##.#####.###..#..##.##.##.###.....#.#.#.##.#......##...#.#....##.###..####...##......###..###.#..#.####...#..##.......###.#..##.#..##..##..##......##...#.##.##....####.###.##..##....##
#.##..#...#.#.##...##...###.###.#..#.#.#####..#..###.###.###.......###.##..####...##..##....#..#####.##..##...#.#####.#.##...##.#...##.##.#####......##.####....#.##.#.###.#.#####...#####.##.##..#.#.#######..##..##..#####.#.#.##.##..##.##.#....#.#..#..##..###...#.###...##.#...#####...##.#....######.##.#..#..#.###.#......#.#.#.......#.###.##.######.###..##...##....##..#####..##.##.#...###.#.#.#.#.#.#.#####.###...##.#...##.##..##....##.#..###.##.#.##..##...###.##.#.....##..#...##.####....###....####.##..#.#..#.#.##...#..###.##.##.###.#.#.###.#.##.####.##.#.###.###..####......###...##..#...##.######.###..#...##.###.######.#####...#...##..#.#####.#.##.#............#..##.##.#.##...#####.#...##########.#.##..###.....######.####.#.###.##.###.........##.#.#.##.##.##...###..#.#.#.#.#.#####.###..#######...##....###............##.##..###..##.#.#.###.#.#....####.###.##.#.#.##.#.#....####.######..#.#######...####....####.###.#..#.##.##.####.##.##..##....##..#.#######.###..##.#.##.##.##..##.##..##..#
#..##.#.#.#.#..##.##..#####.#...##.###..##.##.#.##.....#..######.#..##.##.##....#..##.#..#####..##....####..#...##....###..#..####.##...####....##.#.##..##..#.##..###...#.#.#...#.#.....#.########.#.....##..##..####....#..#.#.##..##.##.#..#.##.#.##.#.##..##.##.##...######.#.###.....#....#.##...##.#..#.#.###.####..#.###.####.#.#.#.###...###..##.......#.####.####.#####.....##.##.##.##.###..###.............#...##.#####.#.##.###....##.##.#.##...##.#.##.##..#####..#.#.#.#####...#.##....##.#...####....#####.#.#.##.#.#..####...###..#....#.#.#####.####....#.#######....##..##..#.####.#####..##.#..#....##....####.###.......##..#.....##.##.#..#.##..##...####.#.#.#####.#######...###.##.#.#.###.###.....##.###.#..##..###.#.####......##.###....#.######.##.#..#.#####...###..#...##.###.#.###.....######.##.##.#.#####.#####.##.##.#.#.##...####...###.#...########.#..##....#.##.######.#...##..##.....####.#......#######.####..#.###.####.###........####.#..##..########.....##....##.##.#....##..#######..###.##
#.###.#####.#.###..##.....#.###.##..##.###.##....###.####..##....#.###.##.##.##.#.##..##.....#.##..#.##....###.##..#.##...###..##...##.##....##.####.##.####.####.#####.##.#...######.#.##......###.#.#.#.##.######.##.####.########.##..####.###..######..#.##.....##.####.#.#.....#.###.#.##.#..#.####.#.##.#.#.####.##.#.#####.####.###...##.#####..####.#.##...##..##..##..##.####...#.##.##...##..##.####.#.#.##...###..#.#######....##.####.#..#..##.###.###...##.......####.#....##.###.###.###..###...###.#...##..#.###..####...###.#####.##.#.######.....#.##.###.#.....##.########.##..###.###.####..#.##.##..#.##...##..########....#####.###.#..#.##.##.####.###.###.#...##...##.#.#######..###.....#.####.#.###.#...##..#.##.#####..#####.##....###.##......#..#########.############.##..##..#...###.#.....##..#........#.#.....#.##.##.#.#..#.#...##.#.#...###.....#######.##.#.##.##......#.#.#..##....#.#....###.#.##.....##.....##........##....##.###.####.####..##......##..#.####.#.##..#..##.#..##...#.####.#....#
#.##...##...#...#.####.######....##..###......##.##..##.######.#.#...#.##.##.##.#..##.#..##.##..##.#..##.#...#.##.######.##...##..####.##.#######....##.##......###.....##.#.#...###..#.#..##.###...#.#.#.##.#.#.#.................#####....###...##......#######.#.#.....#.#.#.########..#..###.##.###....######..#.#.#...........##....#.#.##..#.###.##...#..#.###..####....##.....##.#####.##.#..##.##....###.#..#.#...##.........##.#.####..#.##.#.#####...#...#.##.###.#...##.#.#.##....#.#...#.##.##..#.#.###.#####.#...##...##.#..##..#.#######...##...#.#....#..##...#.###.........#..##...#........#.#########.#.##.#..##..#.#####.#.##.#.###.#.#.##.#...#...##.......####.#####............##.#...###......#####.....#..##.#........##...##...###.##.#..#.#.#.###..#.#.###...#.#...###....##.##.####...#.#.###..##...#.##.#...##.#.####...#.#.########..#.###.#.#...#.###.#.#.####.#.##.##.#.####.#.##.##.#.####.#.######..##.##....#.###..#.#.##.##.#.###.##........#.#.##..#.##.#..##....#.#.##.###..#.####..#......#.###.##
#..##.#####.#.######.......##.#.####.##..#.#.#######........##.####.##.#...#.##.##..####..#..#####.#.###.##.##..#..##.....##.##..###....###...####.#.##..#.#.##...#####.##.#.###...##.####..#...##.##.#.#..###...#####.#.##.###.#####.##.#.######.#..#.##..##.....#.#.#.#...........##...##.##....#...##.#.....##.##.#...#.#####.#..##.#####.##.##.#.#####.##########..##..#.####.####...##....#.##..#.##.##...#.#.##.#.#.#..###.######.#......#####.#.#..###.##.#.#..###...##.#######..##.#######....#..##.#.....#...##..#.#..##.##..##..##.....##....######.#.#.##.######.##..##.#.####.##.##..#...#.###.####.#.##..#.###..#.####.......######....##.######.##.##.#.#..###.#..#.#..##...##.#.#.##.#####.#...##.###..#######.#####..#.##########.##..#..####..######.#...##.........###...###...##.##.##..####.####.####..#.#####..#.#.##.#....#######.......##.##.#...#.###.####.......#.#.###..##.#....###..#..#.#...####..#.##..##..##.#.##.#.######..#.#..#...#..#.#.#.####.#..##.#..###.##..#.##.#.##.#.#.##....##.##.#.#######.##
#.##..#.....#......##.#.##.##.#...##..##.#.#...####..#.#.#.######.#..#.#.#.####..##..##..###.....#.#.##..##..#.##.######.##...##.#.##.#.#####......###..##.#..#.#.#......#.#...###.##...##.##.#.#...###.##..##.#.......#..#...#...##.....####...####.#.###.###.#.##.#####.#.#.##.##.##.#..#.#####.###.##.##.##..#.#....#.#....########.....#.##.#.....##...#.#.###.##.####.###.......##.####.###.##.##.##.##.#.#.#..#.#.#.##...#....##..#.#.#####....####......#.#.##..##.#..#..#..##..###....##...#.######.#.###.#######.###.##...##..#.###.#.#######......#.#.#..#.....##..#####.#....########.###.####...##.......############...##.##..#.#.##.###...#...#.####..#.##...####...#.#####..#.#.#..###.###.#.###....##..#...##.##....##..####.#.#.....###..####.##.###.##.####.####.#..##.###.###.##.#...##....########.#..##.##.###.#.######.####.##.######.#.#..######.#.#........#.#.###.#...########.#.##..###.####.##.#####.#..####.##.#.##....##.#####.#.##.####.#.#.#......#.##..#.##...##.####..#..###....###.##..##.####.#.....#
#..##.#.#.#.#.#.##.#..#.########.##..#######.###.#..######....##....####.#..##..####..##.####.##.###.###..##.#..####.##...##.#####....#.#.########..##.##..#.####.##.##.#####.###...#.#.#######.###...#####..#####.###.#.###.##.######.#.#..###......#.#....####.##.##.##.#.#.##.####..#.##..##....##..###..##.##.#.##.#.#.##.....##.##.####.#....#.###..#.........####....###.##.####....##..##..####..########.#.##.#.###..#.####..##.#.#.....#######...#.#.##.#.#..###.##.##...####...#.#.####.##....##..#...#....##....##.####..##.#...#.#..####...########.##.#.###########.###.##..##.#.##.##.....##.###.##########.#.#.#.#.#..#..##.#....#.####.##.#####.#####.##.#..##..#.####.#..##.####.###.....#...########...#..#..#.##.###....#.....#####.##...#.......#..#.####....#.##..........#..###.#.###.#....#.###...##.......###..##.##.####.......########..##....#####.#.##########.#####.#.##.###.###..##...##......##..#.##....##.#####.#.......##.#.#.....#.#.###.#.#.##.###.######..#...######.##..#.########.#.......##.#.##
#.##..#.###.#.#.#####.#...#.######..##.......#.....##.#.#..##.#####...#####.#..##.##.##...##..##.##....#.##..##.##.#..#.#.##...##..#.##...#.#.#....##...##.#..#####..##...##....##.####......##...###..##...####.....###..#####..#..##.#.##.#.####.#.#.####..###.##.#.....###..#....##.#.##.####.#..#.###..##........###.#..#.#.#.....#....#####.##...##.#.##.#.####.#####...###.....#.#.###.##..###.#####.....###..#.#...##.#...##.##..#.#.#.###...##..#.#.#..#.####...#.#...#.#....###.#.#...##..#.####..###.#####..###.##....##.##..###.#.##..##..#.......####..#...##...#......#.###.......#####.####.........#.#.#.#.#.#.#.####.#.##....####.#.##.......##.....#..#.##.#..##.##...####....##...####.####.....#..##.##.###.###...###.#...###....#..####...#.######.#..##..##.#####.##.######.###..###...#.####...##.#####.#.###...###.........#.###......##..###.#.##.....#....##......###.#.#.....####...##..#.##.##.#....#####.##.#......#.###.#.######.#.##.##.#.##..#.#..###.#.##..##.##.#......#.#####.#......#.##.#.##.##.#.##
#..##.#.##..#.#.#.....##.##.#.#.############.#.#.#......##.##.#.....#...##..##.##.....##.####.##.#..#.##..##.##....##...#.#..#####.#.###.##.....##..##.###.##...##..##..####.####....##.###.###.#...##########...#.#.##..##.#.####.##..#.#......##.#.#.##...##....###.#.#.###.##.#.###.#..#..##..#.##...##..##.#.#.#######.##.###.######.#...###..#.#.##.####.#.####.......#...###.#####.##..###...........#.##########.#.##.##.#########.###...##.######.#.####..##..#.###.######.#...#.#.##.##..##....#.##.#.....#.##....##.####..##..##.###..####.##.#.##....##.#.#..#.###.######...#.#.#.#..##.#.##.####.#.##.......#.#.#......#.####.##...#.....#.#######..##.###########.##....#....##.###..#.##....##..#.###.###.##...#.####.##.#.#.#...##.###.##.##.#.#.....#########..#..##...##......#.#...##...#.###....####..##...#...###...####.###################.##..#.######.#.##....##.#.........###....#.#..##.####.##.##.#.....###..##.#####...###...#.####..###..#..##.####..##.#....##...#####.####.#.......#.#.##.#..#.#######..#
#.###.###..######.#.#.##............##..#.#..###.##.##.###..####.##.#.#..####...####.##....##..#.##.#####.####..#.####.##.##..##...#..##.###.#.##..##..##..##.#####..##....#....#.#.##..###...#.#.####..#####..#.#.#..##....#.##....####.###.##....#.#..##.####.#.##..#.#...#..###.##..#.##.####.#..#.#####.##.#.#......##..#..##.....##.#.###...####.#..#....#....#.#.##.##.###......##.###.#...#.#.#####.#......#######..####......##...###.#.....#.##..#...##.##..##..##....#.#.#.#######...##.##.#.##.##...#########.#.##....#.####.##...##..##..#..#.###.#..###.##.....#.....##.#.#.###.##.#.........##.############.....#.####.##...#..###.###......#.##.#######...#.#.#..##.#####.##...##.####..##..##.#.....##...##.##...##.##...####.##..#.#.....#####.###........###.#.##..#..##.#.###.###.####.#..####.###.#####.#.##.##.#.####...#####...........##..#######.##...###..##############.##...#.#####..#..#.#.##.##.#####...##.##.....#.#..####...#.###..########....##.##....#######....##....#######.########.##.#.#....##.##
#...###...##.#....#.#.#..#.#.####.#####.....##...#...#.##..##....####.##....##.##....##.#.###.#####...##...##..#####...####..##..#.#.##..#.#.#####..##..##.##.#.#.######.#.###.##.#.###...#.#.###....##.......##.###.####.#......####.######.#..#.##.#.##....##.#..##.#.#.#.##.##...##.#.##..##..#.##.###...##.#.#.#.###########..#.#..###..##.#.#.#####.###.##.#.####.##..#...##.##.##..#.#.##.##.#...########.###.#...####....#.##..#.#...#.#.#.#....##.#.####.###.#####..#.##...#....#.###.##...#.#.##..#.#......##...#.##.#.####..#..##.##..####.##.#...#.#.####.####.###.###..#########..######.####.#...............##.##....#.###.###.......##.###....#.#..#.#..###.#.#.###....####..####....##..##.##.##.#########...#.#..######....#..##.....######..#...##.##.####.###.###.#.##..#####.#...#....##..##.......##.###.##....#..##..#.......####.#.########.##.......######.......#############.#.....##.##...#.#...#.....#.#.##..##.#.##.##..#####.....##..#.#.#.###.##...##.#.###...##.###..######..........#.####.#...##..####
#.#...###....###.##.#.#.##.#....#####...##.##..#.###.#####..###.##.#...#.#.##...####..#.#.##....##..#####.####.....#.#...##.##..##.#.###.#.#.#.....##..##..#.......###.#.#.########..###.##.#.##..#.######.#.##..##....##.##.###.......##....##.#..#####..#.##..#.#######.#.##########.#.##.##..##.##...###.#..#.#.#..###.#.####.#########.##..#.......###....#.#....####.###.######..##...#..#.#..#.#.......##...#.#.###..###.######.####.##.#.#.##.####.#....#.#.......##.#.##.#.#.#.##.#.#.##.#.#.####.##.##.#.####.#.#.##.#....##...#######.#.....#.#.#.#.#.#.....##.......######......##.##.#......####.######.##.#.######.######....##.#.######..##.##...#.##.#.##.#...#.##..##....##..##..#.###.##..#..##........###.#####.##.....####.##..#.####.##..#########..##.#.#####.###..##.###.###.#.###.####....##.##.#...##.#####.#.####.##.#.##..#########.#.##..#.#.#.#..##....#####...........##..#.#####..#..#####.#.#######.#.##.##..#.##..##.....##.######........##..##.#####.....#.#....##...##.#####.######.##.####.#######.#
#.#.#.##..##...#.##.#.###..#.#.##.....#.#..###.####...##...##...#....###.#####.#####.##.#..###.####...#.#.#.###.######.###...####..###.###.####.##..########.#.#.#...#.#.#.......##.##...##.####.##..##....#.###..##.###...###...#.#.#.##.##..#.#.###.#..####..##.#..#.#..#.#.#.###.#..#.##..##.##.##.#..#####.###.##..........#.#.#.#...#..##.#.##.#####..#.##.##.#.##.....#.##.....#####.##.####.###.#.#.######.......##..#..#..##...##...#.#.#.##....###.######.##.##.##.#.##.###.#..#.#.#.##.#.#.##...##.##.#....#.#.###..#.#.##..#....##.######.######.###.##.#.##..#.#####.##...###.###.#..#.#.##..##.......###..#..#...#......##.#..###......##.####..#.............###..##.###.#..#.##..####....#.###.##.##.#.#...#....##.##.#.#....#.##.##.........####.#.####..#.#.#.##..##..###...#.#####.##....##.#.######...###......###...#####.#####....#.##.#......##.#####.####.#.....#.#.##.##.####.##.....##.#.###.####.......#####...##.#.#..##..#########.####.##.#####.##......#.##.##.###.##..###..##.........#.....#.#...####..#
#.###..##..##.##..#.#.##..##.#..#######.##...####.##.#####..#.#.##.#..##..#.##.#.....##.#.##...##...#...###.#.#....###.##..#######..##.......##..##....##....#.#.##.##...##.#.#.##..##.#.##....#.##.##..##.#.#...##...##.#...##.##.#.######..####.##..##...##.######.....##.....#.#.#.######.####...####..##.....####.#.##.##.####.....#.##.##.#.####.##..####..##.#..##.#.##.###.##.....####..##...##.###......#####.#####.##...####.####.########..#.##........####.##.##.###..##..##.....#..#.#.#.##.#.##.##.##.#######...##.#####.####....##.........##.#....###..##.#........#.###.###.####...#.##.####.##.#...#.###...#######.###.#.###..#.####....###.#.##.#.#.####...##.##...#.#.##.###....##.###..##.##..#####.######.##.##.####.######.##.#.#.#####.#.......####......#.####...#.#.....########.##..#......##.##.############..##.....##..##....#.#.#.#.######.#.....###.#######.#...#....#.##.#.#..#.#.......###.#######.##.###..###.##..####.#.#....#.#.##.....#..##.#######..####....##.....##..#.#.#####.#####...#......##
#...##.#####..##.####..##..#######......#..###........##...##.###..#.####....#.#.#.#..#.#..##.##..#.#.#.###.....#.##.#####..##.....########.##..##..####..##.#.#.##..###.##.#.#####.####.###.######..##..###.###..##.##..##.###..###.##..#..##.######....#######.#.###.#..##.####.#.###.#.#....###.##....####.####....#..####.#.###.##########.#......###...#####..#.###.####.#...#..###..#.##..###..#...##.#.#....##...#.#.##.#.#.##....#.......##.##..###.########..#..#....##..##..###.####.###.#.##.#.#...#..###########..#######.##...#.##..#.#.##.##..##.####..###.##.#####.............####.######.#..##.###########.......###...#...##.#....##.#.#.###..#####....##.##..##.#.#.#..#..####.##..####.##..##....##....#####..##.#....##.#.#..#.#.#.......#.########.##.###......#.#.###.###.......##..##.#.#.####.......######...##.##.#.#.##.####.#.....#.#....#.#...#####........####.#.##.###..########.#.#.##.##............#...##...#..##..#.......####.#.##.##.##.##......####..##..#.##..##.########...........###.#.###.###
###.#.....##.##....##.##..##.....####.####...##.##.##.####..#.####.#....#.#.##.#.####.#######..####.#####...#.#.#......##..#######.##...###.###.###....##..###.########...#.####.......#.#......##..##..##...##..##...##.##.#.##########.##.....##....##..#..##....###.#.##...............#.##..##..##.#.#.#.....#.#.###....#...........##...#####.#.##...###.##..##.##..##.#####.##...##....##.#...##.###..#.##.#..#####...####....##.#.######.###..##.###.####...##.#.###.###..###.##.....##...#.#..#.#.#.#.##.....#.#.##..####.##..###.##..##.#.#.########..##...###..##.....##.###.#.#.####.##...#.#..#.##.....#.#.######.#.####..#.#.#..#.#.#.##..#.....##....###.#..####.#############..##..#####.####..##..##..#.#.##...##.##.##.#......#.##.#.#.#.###......#.##.......########.#..#####..##.####..###.#.#..###.#.#.#........######..###.#.....###.#######.####.###...##..#.#.#.##.#..#.##..###.##.#...#.###.##.###.#.#.#.#.#############.###...###.#..#.#.#########..###.#####.##.###.####..###.....##...####.#.##..##.#...#...#
#...##.##.##..###.###.##.####.##......##.#.####.#..##.#.##.##.#....#.##.###.##.#.##....#.#.#..###.....##..#.#.#.##.#######..##.....##.#..........##.#.####.###.....##.###.#....####.##.#.###.##..#.####.##.#..##.##.#.##.##....##....##..##.##.##..#####.##.####.#.....###..##.##.####################.#...##.#.####..##.#.##.#.#.#.###....#########..##.##......##...##.....##...##.#.#..#.#####.#..###.##.##########.#..#...##.#################..##..#........###..#..##.######.#.#..#.#####.#####.###.###..##.##......##..#...##.##.#..##.##.###...#.#.###..###...##.###.#.##....#.######.#....#.....##.##.#.#...#..#.#####....####.####.###.#######.#.#####.#...####.##.####.#.#......#.####..........##.#..##..####....#.#..##.#..#.#.#.####..#.#.#...#.##.#......#.#.#........#.##.....##.##....#.##...####...#.#.#.#.#.###.###.....###..#.#####......#.##.##.......###..##.###..#.########...#......#######..#..####.########.###.....####.#.#..##.##.............##.#..........#...#..####...#.#.#.##.#..#####..#.##..#####.#.#
#.#.##.#...#.##...##...###.##.####.#.##.......####.##.#.....####.#.###...##.####.#..##.....##.#.##.#.####.#.#.#.#.....#.#..####.##..####.#.##.#.##..#..##....#.##.##......#.#.###....###.##...##.###.##.##.##.##..###.##.##.####..######....##.#..##......#.####.###.#.#...##..##...##...#.#..#.#.##.#.#.#..###.##...########.#####...########.#.##..##..####.##..##.##########.#..###.#.###########..##..#.......###....#######....#.#.##.......#.##..####.#.##...####.##....#.#....##.#.....#....##.##..##..#######.#.#..##...###..##...###.##.#...#.......#.##...#.##..##.#.###.########.#...#.##.######.#..#.#.#...##.#.####.#...##..#.#.##...#....###...##..#.#..##......#.#.....##.#.#..##..##.##.#####.#.####.#....#######..#.##.#.#.#....####.#.#.###..#.#.#.#.##.#.##.##.########.#########.#.#.####...##.###.###.#.#...#...#.##.##.##.#...#.###.##....#.##.#.###...#.##....##....##.##.#.###.####.......##.##....#..............#####.#....#####.##.##.#.#.##.###..##.#.#.#.####.###....#.#.#.#.#.##.##....##.##..##....######
#.#..#.##.#######.####.##..##.#....#####.##.#.#.....#.##.#####...#...##.###...##.######.#.##..#....#....#######.#.#.#...#.##....##.##....####.#####.#.####.#.#.#...##.#.#.###.##..##...#####.###.....##.##.#..#..#######.##......####..##.#..#.#.##..####....##...##.#.###..##..###....###.#.##......#.#.#.##....###.##.....####.##########.......####..##.....##..#..........#.#.##...#.....##.##.##....##########.#.####.###.##.###.#....##.########.#....#..#.#..##...##.#...#.#####.##.#.##.#.##...##..##.....##..#.######.#####.##.#...########.##.###.######.##.##.###.#..##....##.#..###.###.......#.#.##.#.#.####.#...####.#..##...####.#...##..##.#..#.########.#.##.....##.#####.##..#.###.##...#.###....#.#.##.....##..##.##.#.#.#.##....#.###...##.#.###.#..#.#.##.##......##.........##.#####....#.#....#..######.#########...#.#..#.#.....######.#####.#.##..#####..#.##..##.....#.#####..###########...#.#.###.#.#.#.#.#.####..#.#.##.....#..#.####.########.###.###.#....######.###.#.#####..#.#..#.##...##..##.#...#.##
#.#.##.##..##..##..##.....##..##.#..##...#..#######.#.##...#.###.#.#.##.##..####.##.....#####.#.##.#.#####.#.#..#.####.##.###.#.##.##.#####....##...###....###.#.#..#####...#..##.#..#..##...##..#.#..#..#.##.#.##..###..##.##.####...##..#.##.#..##.#....#.##..#..#.###...##..##...####.#......######.#.#..###.##.#....#.#..#.#....#.#...#.#######..#.#####.#####.##.##.#.##.#.#.#..#.#.#.####.......##.......#................#.......#.##.........#.##.###.##.##.#..#.##.###.#.#.....##.#..#.#####.###.##..##.####.######.......#..#.##.##.........#...###.#.#...#..#.#...#.##..#####.#.##.....##.########..###.#........#....####..##.##..#.##.###.#####.##.....##.###..#.#.#..####.#####.##...###..#....##.#.########.######..#.#..###.#..#.########.#..#.###...#.####..###..#.#.####.#.#.##.##....####.#####.######....####.########.#...##.###.#......#.....#.#####..##...##.###.##.#.#.......##......##...#####.###...#.#.#.###......##.#####.#####.#..######.###.###....#####.#....##....#.#..#.##.##.##.#####.####.##.#.#....#
#.#.#...##..##....###.##.####.#..##.#..#.##..##.....#.#..###.....#.####..##..##...###.#....##.#.#..#.#.##......##...##..#...###..#.####.....#.##..#...##.#...###.#.##.....#.#.##..#.##.##..###..####.###.###..#..##...#.##..##..#.###....##.##.#.######.#.#..####.##.#...#..#####.#...#....#.#.############.#......##.#.#.##.....####.#.###....#.##.####..##..##.#.##..#.#.######.####.#.#....#.#.#.#.##.###.###.#.#.#.##.##.#.##.#.#.#.#######.###.####....#.##..####.###..##..#.#.#.#.##.#.######.#.##..##.#####.....#...####.##.#.####..####.##.#.##.#.......###.##.#.##.##..##.###.#...#########........#.##...#.#.#.#.##.##...###.##..##...##.##......###..#.#......##.#.#.##....#.#.#.###..########.#.##..#..##...........#.##.##.##..##.#####.##.######.##..#.#..#########.#####....###..#.#..####......#.#.#.##.#.##.........#.#####.#.##...#.#.##.####.######.....##..#.##..##.######.#.##.##..#.##....#.....#...##.######...#.##.#..#..##......##.##........#.#...####...#.######..##.###.##....#..#..#...##....##.##.#.##.#.#
###.##.###.##..#.##...##..#.#.#.##..##.#.#..#####.#.####.##..#.#.#..#.##.##.####.##...#.#####.#.####.#.#..#.##.##.#..#.##.###...####..##.#.##..##.##.##..#.#..###########.###..#.##.######.#...##.....##..##.##.#####....######....##.##.##.##.###......#.#.##....#..###.##...##..#.#...##.#####..........#.###.##.##.###..#.#.#............##....#.#.###..####....#..####.....####....#####.####.#.#.#..##......###.#..#########.#.#.#...#...#...####...#.##.##.###....###.##.##.#####.##.###.##.#.#####.##.#.#####.#...#...##.##.#....##..##...###.#######.#.##...##.#.#..##.##....#...#.........#.#############.#.###.####..#.#..######.#..#.##..#.#.##...#######.#####..#.#..##.#.....#.####........###..##.#.###.#.##.###########..##.##...#..........#########.##........##....####.##...#####.#####.#.#...#.........##.#.#.####....##.#..##.##.#.##...##.....##.###..##.#..####......##.###..##.##..#.#.##.#.#.#.#..###.#.####.#..#.##...#####.#######..###.####...###....#........#.##....#..##.#.#.######.####.####.##.#..#.#.#
#....#.#....####.#..#..##...#.#..##.####.#.##.....#...##..##.#.#.##....#.##.#######.#.#...#.#.#.#....#...##.####..#.#####...###.#.##.##..#.#..##..#...##.####......##......##.####.....#.####.#####.###..##..#....####.#....#.#.##..#.#####.##..#######.###..####.##.##...##.####.#.##.###...###.#.#.###.######..#.##..##.##.#.#.###.#.#.#.##..##......###....#.#.###....#.#.#..##..##..#.#####...###.#.####.#.#...#.#.###......###.#.#.#...#.#.#....#.#.#..#.#....####..##..#.##.#.....##.............##.##.....##..#.#.##.###..#.#.#####.##..#.##......########.#..#.#.##.##..##.#.#.#.####.##.###...#.###.#.#.###..##....#.#####...##.######.##.##.#..###......##.....#.##.##.##.#.###.....###.#.########..###.#.######...........##.##..###...####.#.#.....##....#..#.##.#..######.##.####..##.......#####.###.#.#.#.######.#......##.####.##..####..#.####.#####..#...######..#####.##.#....##.##..#.##.#.##.###.####.###......#.##.#.##.#....##....#..##..##..#.#.###.####.#.##.#.#.#..##.#.##..###.#......###.......#.##.#.##.#.#
#.##.####.#..##..##.#.####.####.#####....#..###.#.#.#.#..#####.#.##.####..#..##.....####.##.#####.#.##.#.#.....##.#.....##.##...#.......##.##..##.#.#..#...##.#.#######.#.###..##..#.#.....##..##.....#.##..###.#.#....#.#.##...##.##.#......##.#........##.##....##.##.#..#..#.###.#....#.#.....###..##.##.....##.###..#.##.###...#.#.###..##.#########.#.##.#.###...#.##.#.#.########.......###..##.#...##.####.####.....####.##########.####.#.######.#.##.##.#..####..#.##.##.##.#.##..#.#.#.##.#.##...#.#.#..##.#.#.##.#...##.#...##..###.#..###.####...##.#.##.###.#..##.##..#...#....#..#...#.###.#.#.......##.##.####.....#.#....##.##..##..#.#.########.##..###########.##.#...##.#.##...#####....##..##.#.##.##..#.#.#.#.######..####.#...##.#.#.#.#..##.#.##.#..#.##.###.##.##....#######.#.#.##.#....#.#.#.#.....##.#.##.####.#.######....####....#.....#####.##.#..##.#...####.##.###...##.#.####..#..##...##.#.##.#####.##.#.##.##.#.##.#.##.########...........##.#..#.#.####..#.#..##...#.#.#.#.#####.#.####.##.#..#.#.#
#.#####.#.##..##.##.#....#.#.#......######.########.####..##...###....###.##..#.#.#.##....#...##..#.##.#.#.#.###..#.##############.##.#..#.#..#####.##.#####..#...##....#...######.#.#.#.#.##.####.#.######.##..####.#.#.######..#.##.##.##.###.#.#####.##...###.#####..##.#.##.....##.#.#.#.#.#...##..###..##.##....##.#..#.##..#.###...####........#......#.###...#.#.##.#.#.##.......##.#.##...#####.###...##....###.##.##.###.##.#.##.....###.###.#..###..##.##.#....#####..#.#..#..##.#.#.###..#####.####.#.##..#.#.#..##.##..#.#..##..##.#.####......#....###....####.##.###.#.####.###.##.#.#.........#######..##..#.####.####.#.##.....##..##.#........#..##....#.##...###..##.##..####.#.......#.####..#.#.......##.###.#......##....#######..###########.#..#.#.##.##.........###.####.#...#.#....#.#.########.#.###..#..###..........##.##...##.#.##.#.####.......##....#.#....###...###.###.#.#.###.#.####.##...........#.##.#.##..#.#.##.#.#........###.##.####.##..#.####....##.#.#.##..###.#.###.....#.#....#.#..####.#.#
#.#.......##.##...###.#.####...#.####.........##.....##..#####.##..##...###..####.#####.#...#..##.#.#..#####...#.##........##......##.#.#####..##...#...#######.#.###.#.###....#.#.#########...##..#.....##..##.##...#.#.##.###.#######...###...#.#......##.##...##....###.#..##.##.##.#.###.#.##############...##.###..####..##.#...#.#.###..#.##.#...###.##...##.##.#..#.#.#..##.#.#.##..######..##.....###..##.#..##.##.....##.#.....#.#.#...#.....##...#.##..##.#.##.....##.#.##.#.###.###...##..##......#.#..#########.##..##.#.#.####..###.#....#.#.##.#.###..#.###....###...#....#...#.####.##.##.#####.....##..##....##########..##.#.####.####.###########..##......#..##.##..###....#.##.#.##.#######.###.#.#.#..#...#.#.#.#####.#####.#####.##.#.#.##.#.##.#.###..##.#.#.##########.#.##.#####.###.#..##.#....#...#####.#####.#.###.##..###.###.#.##.#....####.######.#...#.#.######...###...#.....#.#...##..##.#.##.#.#.########..##.#.##.#...##.#.#...#..#....#..#.##....##.###..###.###...#.#...##.##.#.#.#.#####...####.#
####.#.##..#.##.#.#...#....##.##.#....###.#.#..##.#.#######.....#.##..#...##...##.##..###.####..#.####.....##.##.##.#.#.##..########..#....###..###.#.#.....##..#.#.#.#..#######....#.#.##...#..##.#.#.#.#####...##.####.#...........##.#...##.##.#.###.########.##.#.##...#.##..##.####.#####....#......#.#..#.##...##...#####..#.###.#...####.##.#.#...############.##.#.#.#.##..#.#.###....########.##.##..######.##..###.#......#.###.###.#.#######..#.#..##.#..#.###.##..#.#.#..#.#.....#.###..#####.##.#.##...#....##..#.##..#.#..#.#.##...####.##########...##.##..##..##.#.#.#.######....#..#..#.......#.#.#####..##....#.#.#########...##..##......###.#.################.###..##.#########..#..#.##.#.##..#.#.#.##.###.#.#.###....##......##......#.#..#.#..#...##.####.#..###...##.....#...##....#.##....##.#.#.###.##....##..#..##..##.#.#...#.#..###.#.##.......#.####.#######.###.#...###.#.##.##.##.##..#####.##.######.....##..#.#.##.#.####.###.###.##.#.###.#.###.###..####..##.#...###.##.##...#.#.###.#.#.###.#..#.#
#....#.#..####..#.##.##.#.###.##.####.#...#.#.##..####.#....#.#.###..##.####.#.##.##.##......####.#....##.###.##.#..#.#..#.##..#.####.######.##..####.##.##..##.###.#.##......##.##......###.#.###.###.#...##..#.##..##..#.##.##.#.#..####.###..#####......##....#..#.####.#..####...##.....#######.######.##.#####.##..#....###.#..####.#....####.#.#.#..........##..##.#.###..##.#.#...##.###...##....#..##......#.###.#######.#.##..##..##.#.......##.######..##.###....#.####.#.#####.#.##...##...##..####.#..###.##.#..##..##.###.##...####.#...........#####.##.##.####.##.#.#.#......#.##.#####.##.##.#####.....##.###.#...#....##.#...#..##..#.#.##.........#.##.....###.#...##.##........######......#.#..####.#.##..####.#.#...##....##.#..####.#.....#####.#.###....##.##.....###..#####.#..########..#####.#.#.##...##.#####.##..##.##...##.####.######..##.#.#.##.......##.#.#...###.#.##..#..#.#########...##...#.##.##..#####..##.######..#.####...##.##.#...###...#...##....##.##.#.#.###.##.###.##.#..##...#..####.##.#
####.#.##....#.##.##..#.###....#....####.##.#..##.##.#...##.#.#..##.##...#.#####..#.....##.#########.#.##...#.##.#.##.#.##.###................##..######.##.##..##....#..#.#.##..###.######..###....##.#.#.#..##.#..######.#...#.#.####....##..###....#.#.##..#.###.#.#....##..####.####.##......##.#.###..#####..###..##.####.####...####.##....#.#.#.###.#.##.#####.##.#.##..#####.##.###.....######.##.####.##.##..##......##.########.##..#.##.##.##.....##.##....##.#.###.##.#.##....#..#.#..##.####...##.##.....#####..#.###..##.#..#..##..#.##.###.##....##..#..#.##.#.##.###.#.#.#.##..#.....#.#..#......#.##.###..####.#...#.###.###.#.###.##.######.#.#.###....#.#.....#####...#.##.#.#......####.#.###.##....#.#..##....#.###..##.#..####....#########.##..#...###.######.#.###.##.#.########.....###...##..#.#....###..##.########..#..#..#.#.##.....##.###.#.######.#.#........#..##.#####.#.##......#.##.#..##.##.....#.##...##.##.....###...##.#.######..#.#.########.##..##.##..#.#.#...####..##..#.##.###.##.##.##.####
##...#.##.#.####..#..##..##.#.###.#####..##.####..#....####.#.#.##..####.......####.##.##...##...##..#..#.#.#.##.####.######...#.#.#.##.###.#..##....##..##..######.#.#.####.###.#........##..##.#.##..#.###.##..##..##....##.####...####.####.#.##.#.#.#.###.###.#.###.##..##.#....##....##.###..#.#...##...#.#.##...##..........#.#....#..##.###.#.#...#.#######.....#######.##....#....##.##..##.....#.####..#.###.##.#.#.##.........#..##.###..##.##.##.##..#..#.##..#..##..###.###.#.##.#.#.##..#.##.###..#..###.#.#.#.##...##..####.##.##.##.#....#.####.##..###.#.##...#....#.#.###.##.###.######.####.#.##.##.#.##...#####.####.....#.#.##...#...#.######.....#.##.#########.#.###.##.###.#.#.#######..##.#..##.#.#.#####.##.###.##..##...##.##............##.#.###......##..#.............#.##..#####.#######.#.##.#.#######.#.##...####.##.##....###.#######..#...##...#.#.#.##############...#####.###.#.####.##...##.####....###..###.##..###.##..#......##.###........#..##.#####.####.##.####..###.##.#..#...#......#....#
#..#.#.##.#..###.###..#.#####..####.#.##.##....##.#.#.##....#.#..##...##.#.#.#...##.#..##.#....#####.##.#.#.###...##....#.###.##.#.#.#....########.#.#..####...##...###...##...###.##.#.#..##.####..##.#.##..######.####.#.##.##...###......##.#....###.#..##.##......#..####..###.##..##.##...##.....###..###.#..##.###.##.###########.######...#.#.##.##..##.#.###.#....#.##.########.#.##.##.##..##.##..##..##..####..#.#..##.###.#.##.###..###..#.##..#..##.##.#####.##....######...#..###.#.##.##......#####...#.....#.#..#.##.####..#..##..#.#.#.##..##########..#.#..#####.####..####..##..###.####....#..######....#..##.#...#..#.###.#..##.##.#......######.##..#...........#..##..#.#####.#......##.###.#####.#.#.##.##.####...##.###.#..#.#..#.##.##.##.##.#...##.#.#..####.##.##.####.##..##.......####..#.###..#...#.#.#......#...####..##.##..##..#....##.#.#..###.###.#.........#.##.###....##...#....###..##.###......####...##.###..##......##.##.#.##..##.##.#.###.##..#.#.#..###.##....##...#..###.##.#...##.#...##.#
##.###.#####...#.#.#.##...####..##........##.#.#..###.##.#.####.##..#.##.#.####.#####.##..#.##..##...##.#.#.##..#.#..####.....#..######.#...##.....####...##.#.####..###.########..#..###.##....###..#.#.##.##......#.#######.###.#####.#.#.##.#.##.#...#.#######.#.#.#.##..####...##.##...#.#.#..##.##.#.###....##....#.##...####.#.##.#.#..##.####.##.######.#...####.#...##..##......#.##..#####.##..#.####..##....#.##.#.##...##.#.##...##...##.###..######.##.#.....#..#.##....######...#.####.##.##.#....###.##.#.#####.##.##....##.#####.####.#..##.......##.#######..##......##....##..##......##..#.##.####....##.##....###...##..##.#.##..##.#.#.##......#####.#.#.#.##.#.##.###.##.....#.#.####..#...#.##....#.#..#.##...##.#.#....###.##.#.##.##..###..##.#.###########.#...#..#....#.##.###.#.#.###....##...##.###.......###.##.#...##.###..##.###...#####.#.##..##.##..##.######........##.####.#.#.####...##....###.##...######....####..##.#######.#####.#..##.#...#####.....####.#.##.##..#.###.##...#..#.#######.#####
##.#....##...#####...###.##....#####.###.##..#.#.####.#..#..##..#..####..###....#.#...###.#..#.##..#..###.#..#.##.##..##..######...##...#.#####.##.##...####.#....##..##.#.####.##.##...#######...##.###.#..##.##.###.#.#.#.....#.#..########..#.####.#.#.....##..#.#.#.###......#.##.##.###.####..#..........######.#####..#........##.....##..#.##.##..###.#.#.#...####.#..##.###.#.#.#..#.###.##.###.#.##...##..######..#..##.#########.##..#..#...##....##...#####.####.#....#.#####...###....###..#..###.##...##.#....##.##..##.#.#####....##...##..##.####.....##.#...##..#.######.#..##.###.#######.#.#..##.###.###.#####...#.#..##.##.#####..#.#.#.#..##.####..#.#.######.#..#...#.#####.####....#.####.#..###.#####....##.###.####.#...######..###..#####.##.#..##.#.#.##....#.#.##.##.#......#.#####.#.#####.#.##...##.#.#.################...###.#...######..#####..#.#..###......#.######.#.....#.#.#....#.#.###.########.###.#.###.###.###.##..#....#...##..#.######.###..##.#####.#.###...##.#..##..######.#...#.#.#..#.##
#..#.#.####.###.#..#...######.##.#...#....#.##.#....####.##..##.##....##...##.#...###...####.#..##.##..##.#.#####.###..#.##......#.#..#.#...#.###...###....#.##.#.#####.........##.#..#....#####.##..##..#.#####..#.....#...##.####.##.##.....##.#.####.###########.#####.####.#.#..#.#....#....##.####.#####.....##.....##.#.#.##.#.##.#.#####....#####.#.......##.##.#..#####.#...#.#.#.##..#..##...#.#..##.####.....##.######.....###.##########.#.##.#########.....##...#.#.##.##....#...########.###...###..#..#.#.##..#..##..#.#..##.####..#.#..#.##....##.#.#....#.#.#..##......#.#####...#...###.######....##..#.#....##.#####.##..##....##.##.######..#......##.#......#######.##....####.#####.#..#####.##......##.#.###...#..##..#.#....##..#####.##.##..#.#.##.......##.#.###..#..#.##.###....#.##.#...#.#####..#.#..#.#.....#..##......###...#.#.#......#####....#####.#...##.############.##.#######.#.#.#.#.....#..##..................#..##...#.####..##.#..##........##............##.###.##..#.##......#.#.....##....#
#.##.#.##.......#.##.#..##.....#.#.#.#.#.####..#.##..##..#..##...##.#####.##..##.####.#....#.#.##..#..##..###.#.###...##.#####.########.#.###.####.##...#.##.##.###.#...##.#######.#.###.#....##########.#.#.####.#.###...####...##.....#.#.#.#..#..#........#.#.##...##.......#.##.#.##.###.#.###...##..######.###..#####..#.#..#.###..#.....#.##.##......##.#.##.....##.....#####.#.#.#.###...##..###.#.##..##.#####..#....#.#.#.#.#.#.##.......###.##..##.######.#.##..#.###..#..##.#.#.#.#####..#..####...#.##.##.#..##.##..##.#.##.##......##.#.######.####.###.##.#.####..##.#.###.####..#####......####..##.###.#...#.#####..##..#.####.###..##.#####..###.#########.#.####.##.#####.#..........####.....#..###.##..###...#.###.##..##.########.....####.###.#.#....##.####..#...##.#.##.##.###.#.##.##...###.##..#.##.##.#.##.####.####.#.#..###########.#####.....##..##.#.###..#............####.....#.#.###.###.#.#...#####.#####.##.#######.##..#####.###.##.##.#..##.#.#..#.###.####.#.#....#..##.#..##.##.##.#.##.####.#.#
######.##.#.#.#.###..#.####.#.##.#####.#....##.#.##.#######..###.#...#.#...##.##.##...#.##.#.#..##.#.####.........#.#..###.....##.#.#...#.##.......#..#.###...#####...#..#.......###.##..#.##.......#.##.#.#......####..#####..#....#####.###.#####...#.######......######.#####.##.#.#....#.#.##..#.###......###...#########.#.##...##.#.#######...##.#.#..#.#..##.#.####.#####....#.#####.##.####.###.#####.......##.#####...###.#......#.##.#####...##........##.#..##.#...#.###.##.#.#.#.....#.##.##....#.#.#...#.#.#######..############.###..#.#.#.#.....###...#######.##.##.#.##.....##.....#.#.##..#.#####...#.#.#.#...###.###.##.#.##..###.##...#.#.##.#...#.#.#######...........#.##.#.##.######..##.###.##...##...##.##...#.##.##.....##....#.###......#.####.#.##....##.#.#..#.#.##.##...#.#.......#........#####.##.###........##..#.##.....#.#..##.######.#.##..##..#...##.##.#.#.###.####.##.##...###....##.#.##.##.##....#####.....########.........#.#######.##..###.##.###....#.#.#.#.##.###.#.###.#..##.#.##....#.#.#
#.......#.###.###...##.####.###........#.#.##..#..#...####..##...#.#...##.#####..#..###..#.#.#.##..#....##.#.#.#.##.##.#...#.#.#......#.#..##.##.#.##.#..##.#.##..###.####.#.#.#.##...##.#####.##.###.#..###.#.##.#..##..##...##.##....##.#####.....#.#.....#######.#.##...##....#..####.#######..##.#...##.#...###......#.##.#..#####..#.......##.##..###.#######..####.#.....###.##..##.......##....#.....##.##.#..#.#.###.#####.#.#.##....#...#.##.####.#.#.###..####..#.#.#..##.####.#.##.##....#####.#.#.####.##.#......######.##.#........####.....##.#.######....###.....##.#######.##..#.#.###.##.##.....###.#.#.###.###.#...#.#.....#.##....#.#...#.##...#......#.#.##.###.#.#.######.#.##......##.####.###..#..#.#.##..##.####...##.##..##.#.###.##.###.#.########..#.##..#.##.#.#.##..##.#####.#.#.####.##.###.#.###...###.#.#.#....####..#.#.....##.......#.#..##....####.#..##.###...#..#...##..#.#...####..###.#.....##.##....###.##.....#..#.###########.#.#######.##..##...#.#.######.######.#####...##.##.######.##.#.#
###.##.##.##....##.##...##..#...#.#.#.##.####.###.#.###....####.##.#.###..#########...##.#.#.#..#####.###..#.#.#.###########.#.###.##.#.#.##...###.#..####..#..##.......##.###.#..##.##.....##..#.#.....###..###..##....#####.##.##.##.##.#.##..###.####.##...##.......#.#..###.###...##...##.#..#######.####.#####.##.#....#.##...########.#####..###.#.....#.####..##....#.#####.##.######.#.##..#.###.#.###.####.##.....#.....#.#.#..##.###.#...##.##...#.#.##..######.#.#.#.#####....#..#.##.##..#.##.###..##...#.##.#####.##.#..#.##.#.##.#####.##.#####......###.##.####.###.......#.##.####...#.#.....##.####.#.###.........#######.###.###.#.#.#.#.#.####.#.#.##..........########.#.#####..#.#.##.......##..###.###..##.##.#.###.###..#.###.#..........###...#.#..##########.####.#.##.##.....##.#.#....####.........##.##...#.#.##.###.###.#.##.#.##..#.#.###.##..##.#....#.##.##...##.#####.####.############.##..###.#######.####....##.##...##..........##......#.##..##..##.##.#...#.##..#####.....##.######.##.##...###.#
######..###..##.##..##.####.#.#####.#.##....#.##..#.##..##....###..#...##..##.......#..#.#.#.##..##.#...#.##.#.#...##........#.##..##.###..##.###..##....#######..#.#.#.#..###.####...###.#.##.#####.#.##.##...#######.##......#.##..######....##.....##..###.#####.#.##.####.....#.#.##.#....##....#.#.....#.#.#.####.#.####.##.#.......##.....##...####.#.##.#.###.##.#.##.##.....#..##....#..#.##...#.###.....##..#.##.####.###.###.###.#####.####..#.#.#.#.###.##.....#.#.#.##.##.#.##.####...##....###...##..#.#.##...#........##....#.#..#......#.##....####.#####.......##..#.#.###.##..####.##.###.#.#####.###.##..##.#.##..#.#.##...###.#.#.###.###....###.#..#.###########.#..#........##.########.#.#.###.#.#...#.#####.....####...##.#.####.##.##.#..##.#.....##.....##......#.#..#..##.#.###.#.#.##....#.##.#.####...###.#####........#####..#..##.#.#...####.###.#.#.##.#...##.###...###....#...#.###...##.##.##.......#.#....##.#..#..##.##..###########.######.#..####..###..#.#...###..##.#.#####...#.#.......##.####.#
#......##...##..##.##...##..#.##....#.##.#.##.###.#.###..#.#######.##.####..#.#.##.##.######.##.##....######.###.#..#.#.##.#.#.#####..###.##....##..##.#..##.#...##.#.#.##...#...###.##...#..#...##..#.#..#..#.###.#....##.##.##..##.###.####.##..##.##..##....###..#.##.##...#.###.#.#..##.######.##.#.#.#####......#.#..###..#.#.##.#.##..#.#..###.##...#........#.#..#..#####.#.##.###.##.#.##.#..#.#.####.#.####.######......#####.#.###...#.##.##########...#####.##.#####.##..#.####.#....#..##.#..##.#..##.#.###..#...##.#.#..##.#.#.##.###.#.##.##.##....###...##.#.##..#.####..######....######...#.........#..##.##.#.##.##.#..#.#.###.#.#.##...##.######.####...............##.#####.##.........#######.....##.##.....##.##....#.#.##....##...############.###....#######.#.#####.######.#.#.#####..##.#.#.##.#....##.##......##.##.#.#.##..#####..#.#.###..##..##..#.###..##.###...#.#.....#.######...#.######..#..#.#.###.###.###.#.##.#######...#######.....##.#.##....##...##.###.#...##.......#..##.##...#.##.###....###
#.####..##.####..#..#.#.#..##..####.#.#..#.#....###...##.#.#.##.##.##.##...##.#.##.##....##..##.##.##...##.#.#####.##.#..###.###.....##...#..#####.##..#.###.###.##.#.####.###.#..##..#####.##.#####.####...####...###.##..##.#####..#.#...##.######..##..###.##...##.#..##.#.#..##.#.#.##....##...##...#...##..##.######...##.#.#.##.#..##.#.##..####..#.#.###.#.####.##.###.#..###..#....#.#..#.#.##.#...##.###.........##.#.#..##......#..#.#.....###..##...#...##..#....##.....##....######.#.#####.##..##..#######.##.#.##.#.#.##..#.######...#.#...#.##.##..#..######.###.#...###....#.####....#####.#.###.#.#.#.##...#.#..#......######.....#.##.#.##...#..#...#######.#.#.##.###......#.##.##.#.##.....##..#.#.######.#.##...#.#.####..##.###..#.##........##..##.##......##.#....##..##....#...######.##.#.#..########..##.###.##...#.#.#....####.##.###..##.####..##.#.######..#...#####.#.#.#.#.###..#.......##.##.##.#.......#.#.###.##....##.#.#.......###.#.......######..###########.####.#.##...###..##.##..###.########
###....##...##..##.######.#######...#.#.##.##.#.##..#..#.###.#.....#######..###.##.##.#.##..##..#..##.#....#...######.####...#####.#..#####.##..#...##.#......####..#.##...#########.##.#####......###....#..#####......#.#####.#.##.....#.##..##....###.##....##.######..###.#.#####.#.###.#.##.#.###.##.#.#..##...#.#.#.#..###.###..#.##..#.##.##.###.###...#.#..##..#......##...##.##.#.#.#.####.##.#.#.##...##.#.#.####..#.#.#####.##...##.#.###.#.##..##.##.#.##.##.##.#..#.#..##.#.##.###.###..##..######.......###..######.#..####....##..###.##.##..#..##...##.#....#...#.###.######.####.####.##..#...#.#.###.###.##.#.###.#.###.#.####.#.###..#.##.#...##.#....######.#..#.....##.#.#.#...#.#..#########.#.#......#.#.#..#####.##...##....##.#....####.#..##..#..#.#.##.#..###.####..#.##.###...#.##.####.##.....###..##...##..#.#.#.###.##.......#...##..#.#.#..###.#...#.###.#.#....####.###.......###.##.######..##.#.#.#.#.#.#..##..##.#....####.#######..##.#.######.###.....#.....#.##...#..###...####..#..####....#...#
####.#..##.##..#####.#......###...#.#.###...#.#.#..##.#####....#.#...##....##....#.#..#..#.##########.##.#.#.#...###.....##.##.....##.#......##...###..#.#.##...##.#######.#.##.#..#........##.###.##..##.####.##..##.#####.#.....#..#.###.##.####.#...#####.#.##..#.#.####...#.##....#.#.#.#.##.#..##..#.#...###.#.....####...######.#..#.##..#.....##..##.#####.##..##.#.##..#.#..#.#..#.#.#.##...##.#.###..#..#.#.#..####.#.#######.###.###.#..##......######.#..#.##.##.##.#.#.#####.##.........##..##......#.#.#...##..#.##..#####...##..##.#####..##.######.#....#.#.###.##...............#.......##.#.#.#.#..##..##.##.#.##..#........###.#.#...#####.##.###.#.##......####.#.##.##..#####.#.#.##.........#####.#.#.##.####..#.####..#..##.#..#.#.#.##.#########.#.####..#.##..##...#####.#....#.#....#..##...#.#.###.##..##.##..####.#...########.####.####.#...#.##.#.#.#....##.####.#....#.##..##.#.##.########..#.##..###.#####...##..##..#.######......##..##..#...#......#.###...##.##..##.##.##...#.#....###.##...##...#.#
#....##.#...##.##......#.####...#.#.#...##.####.##.##.##..##.#.#.#.#..####..#.##.#.#.##.####.###.#....####.#####...##.##.##.#..##.##..###.#.##..#...##.###..##.###.#.#.#..........##.##.#.####...#.###.#####....##.##...##..###.#...##..##.##.##...#.###.....#.##.##...###..#.#.#..#.##...#.#.##.#.##..##.##.##.#.##.#.###.###......###.##..##.##.#.###.##...#..#..#####.#.##.##.##.###.##.#.#.##.#.##.#...##.##.#.#.##....###....##.....#...######..##.#..##....##.#.##.#..##.#.#.....#..##.#.#.######..#.#.#.####.#.#####...######....#.#..##......##.#...##....##.#.###.#....#.##.#.###.#.#.##.#####.##.#.#.####.##.##...###..##.#.#.#.####.#####.#..##.####...###..#.####...#######..##############..#.#.##.##.....###.##....##...#.###.##..#.#.##.#.#....#.#.##.##.#...#####..##..#.###...####.#.#.#.#####..###.#.#......#.##...##....###.#.....####....###.##.#.#.#..#.###.#.#####.#....#.#.##..##..######..##.##.#.#########...#.##.########.##.###..##.#.#....##..##.#...##.#.#...#####...#.##..##..###.########.#....###..#.#.#
###.#####.#..#####.###.#.##...#.#.###.####.##...##..#####....#.#.####...###.#.##.#.#..#....#.#.....##....#.....##.###..#.#####.##..##.##..#.#..##.#.##...#.###.#.###...#.#.#.#.#.###..#.#....#####.#...#...####....##.#..##.#.###.####.##..##.##.#.#...####.####.....#...#.##.#.#.##.#..########.#.##.##..##..#.######......###.#.#...#..##.##..###...######...##.##.....#..#..#.##.##..##.#.#..#.#..###.###...#.#.#.#..########.####.#.#######..##.###.#.##..#.##..#..####..######.##.##.#..#.#..#.#.#.######..##..#...##..#..#.#.##.#.########.###.##.#.#.#..#.##..####..##.#.#..###.#####.#.##..######..#.#####..##..##.####.#####.#.#..#....##...#.##..##...#...#.##....#####.#.#.##...##.#.##.#..#.##.#.##.##.#.#.#####..######.##.#.####.#########.#.##........##.#.#.....#.##..##.....#.##...#.#.#...#.#.##...###.#.######..#####.#.###.#.###....##.#......#.###.#.##..##.#####.####.#.###.##.####.##.#.#.##.............##..#...##....###.#.##.#...#####.#.#.###########..#.###.#.....########.####.##...##........#.####.##.#.#
##..##....#.####....##.###..#.###.##.....#..###..##.#######.####.#....###.###.##.#.#.##.#.##.#####.###.#.##.#.##..##..##.#.#.#.##.###.###.#.#.###.#.#..#.#.##.....##.#...#.#.######..#####.#.....####.####......##.####.###....#.....#.##.##..##.###.###....#.#..#.#.###.#.#..#.#..#.##.....##...#.##.##.####...##.##..####...#.#.#.#.##..#..##...#.####.####.######.#.###.#####.##.##.##..#.#.##.#.##....######.#.#.##........###..###...###.#.###...#########..##.##..#.##.##.....##..####.#.##.....#...##...####.#######.##......#.#.#........########.#.##.#..##.###..##..####...#.....###..##.....##.##.....##.##.###....###.##..#.#.##.##..###.#....####.###.##..##.#............#.#...........##.##.#.##..#.#.#.....##...##...#.....##.......##...#..##.####.##..#.#.#.#.#.#..####.#.######.##.###.#...#..###...#.#.###.###.....###...#####...##.##.#.#.#.##.##..#..##...........#.#.#..########.............######.#.##.##.###.##..##.....###..#.###...###.#.#.###..#..##.#...#.#.###........#.##...##.#..##.####.##....####.#.#
#..######.###....##.#....##.#.###..##.#.#####...##..#.##.....##..##.#.......#.##.###.##.###........#...#.####..##..##..###.....##...#.#...#.#.#...####.#.#.####.########.#.#..#.#.##.....#.#.###..#.#.#.######.###..##..#.####...##.##.#...##..#.##....####.#...##.#..######.##.########.#.#####.#.##..#...###.##...##..#############.##.###.#..###.........#.#.###..#.###...######.##.###.#.#.##.#.###.#......#.#.#.##.###.##.....###..#.........#.#.......##..###..##....#.##.#.#.##.##....#.##.######.###.#..##...#.##.#..#.#.#.##.#.##.##.##....#.##..####.####....##.##.###...#.#.#.#..######.###.######.####...#.##..#####...#.##.#.....##..####.#.##.#....#..##.##.##.####.#.#.#####.#.#.#.#.##..####..##.###.#.##.#####..###...##.######.#.####.##.##.....#####.#.#.#.###.##..#.#.#..###.#.##..##.#.###.##.#.#######.#.#.####.###..#..#.##.#..#..#####.###..##.##.####.##.#.#.#.#...##........#.##.#.###.#.###.#####..#.##..##..##..###.#...##...###.#####.#...#.#.##.######.##.#..####.#.#.####..#..###.##..#....#####....#####
##..##.....#####.#####.#..#####...###.###.#...#..##....####.##..###.##.#.#.##.##.#....#.#########.##.#.#....#.####..#.##...#.#.#..#.#.#.#.#.#####..##..#.###.....##.##...####......#########...##...#.#........#...####.#......#.##.##.#.#.#..######.###....###.#..##..##....##.###.#....#.....#.#.##.######......#..##..........######..######...########.##.....##.###...#....#.#.##.#...#.#.##.#..##.##.###########...##..##.#.##.##.#.#.#.###########.#.##.###..####.###.#..#.#.##.#####.#.##.....####.####..###......#.##.#.#.####..###..#..####..##.#......###.#.#..####...#.#######.##.#.#....#..###......###.#####..###..##########.####.##.#..#.##.###.##.##...###.....###############.#########.###.#...####.##.....#.###..#..###..###.#...##.##..###.#..#.##.#.###.##...##...#.##.....#####.##.#...#.#.....#......#.....####.##.##.#..#.#.##.######...#####..#.##...#..#.######.##..#.#.#############.#.........#.##.##.####..##..##.#####..#.....#.#.###.#........##.#.######.##.##.###....####.##....####.##...###.#####..#
#..#####.#..###....##..#.##.....#.##......##.###.#..#.##....###.#.###..#.####..#.#.#.##.....###.#.#..###.####...##.######.######.##.#.########.##.####.#...#.#.#.....###.##...##.#.......###.#..#.#.#.##.#.#####.###.#..#.#.##.#..#..#.#.####...##.....####.#...#.###.###.#.###.....##.#.#.##.##.#.####..######.########.##.##.#..#.####..#.#.###..###.#####..#.#.#..##..#.##.#...#######.##.#..####.##.#....#..##..###.###.##..###.....###.#.####.#.########....##...##...#.##.#.#..#.#.....#.###.####.#.....##...##.###.###..#.#....####...###......########.###.###.##...###.##..#...##......#.#.###...###.##...#.###.#.##.#.##..##...##....#..#.##.#.....####...###...#####.....##.#.#.####.##.#.#.##..######..##...#.###.#.#...###...##.#...###.##..#.##...##....#.#...#..##.##..#.#.#..#.#..##...##.#.#.###.#.#.#.####...#.#..###.####....####.##....#.###...##..##..#.#.##.#.###.....##.#####.#.#.##.#..#.#.#.#.#####..#.#.....######..#.###.####.###......########.#.##......##.......#...#.#.##.....###.##....#..###.#####...##
##..##...#.##...##.##.#######.#.#####.##.##...#####.#..####...#.....##.#..##..##.#.#.##.#.###...####..##.####.#.######..###.#.##.#..#########.......##.#.#.#.#.##.#####..####..#.##.#.##...#.##.###############...##...##.#.#..##.#.####....##.####.##.#....##.##.##....#.#.##..###.##.###..#.##.#......##.........#####.##..#.##......##.......##...#.....#############.#..#.###....##...##.##.##....#.#.####.####.......#.###..##.#.#..##.#..............###.#..#.###..#.#..#.#.#.##.##.#.##..##...#....###.#..####..##..##.####.##.##...####..##.####.#...........#.#..#...#..##...#.##.##.#.#.#.##..#...###..#.#.#...........##.#..#..##.######.#####.##....######..#.....##.##....#.#..#.####...#..##.#.#.###.##.#.#..#######.##.##.###...#..##.###.#####.###.####.#.#.#.#####..####.#.##.#.###.#.##.######..#.#....##..###.##........##.#.#.######.#.....#.#.###..#.####.####...#.#####............#..#.######.#.#..###.#.##.##...#.#..##........#...##.#.#........#.#....#.#######.#.#########..#.#.#..##..##.####.#.........#..#
#..####.##.####..#.##...##....#.###.#.####..#..##.#.##.###..#.##.####..####..##..#.###..#...#.#......##.....###.....#..##........#.####.#.#.####.#.###.#####.####...##..##....####..###..######..#.####.##......#.##.#.##.####..#.#...##.#####.##....#.##.#.#...#.###.#####..##.#####..##..##.#..#.###.###.###.###...##..##.#########.##..##.#.####.##.###.....#..##.....##.#...#.####..######..#..#.####.......#.####.#.##...#######.#.##..##.#.#.#########.###.##...##.####.#.#.#..#.##.#..#.##..#...##..##.##....##.###..#....####.##.#.##...##.......##.#.#.#.#.#####.##.##.##..#####...#.#.#.#..##.#.#...##.#####.#.#.##.##......#####..#.####....######.###.##.##.#.#.#..#######.....##..#.#.###.##........#.#..####.......###.......##.##.#####.#..##.....#....#.#####....###....###..#.#...#.#.##....##..##.###.########..##.#.#.#.##.#........#.#.##.##.#..##.##.#....#....#.#.##....##.#.#.###...##...#.####.#.##.######.######...####.###.###.######.##.#.#.######.###.......#.#....###.##.####.#.######..##.....##.######.##
##.##.#.##...###.#.#..####.#.####........##.####....####...##.##..####..####..##.#.##..#########.#.#.##.#.#...###.#...###.#.#.##.#.##.#.....#.##.###.......#.#....#####..##.#..####...##...##.##.#..#.#.#..###.##..#.#..#..##..##.##.######.#...##.#.#.#..#.##.##.#......###.##....##.##..##..##.#.##....#.#.....#.####.##..........#####..###..##.......#######.######.###.#.###....##...#.######.#.#....###.#...##...##########..##.#.###.#..#.#.............####.###....##.#.#.##.#.#..#.##..##.#.#..#.#######.#.##...##.####....#..#.######.##.###.#..###.#####....##.##..#####.....#.#.#.#####.###########.....##.#.#.##.##.##.#.....##........#.##.##.#........##.#.#.##.......#.#.#..#.##.#.#.#.##.#####.##.##....##.########.#.#.####.#....##....####.##.###.#####.##.##...##.#..##.##.#.#######..##..##.##..##...#.##.##..#.#.#.#.##.#.########.#..#########...###.##.####.#.#..###.#####.#.##..#....###.#.####.##....##.......###.##.....#..##......#.#..#.#...##.....#.##.##.#.##.#......###..###.#.###..##..##.###......#..#
#..#....##.#..##.####....#.#.#....#.#.########.####..##..#.##.#..##....##....##..#..##.....#.#.###.####.###.#########...##########.##.#####........###.#.#.###.##...##..######....#.#..###.....#...##.....##...#..####.###.#..##..##..##..#...#.##.#.#.####.#######.#.##..######.###..#..###.###.#.##.####.###.#.#..##...##.#.##.##.###...####.####.#.#####.#.##.#.##.....###...#.##..#.#.....##...#.##.#...#.#.#..#.#..#.###.#.##.##.#..####.##.#.#.##.#.##.#####..#####.##..#.#.##.#.##.###..#####.####..#.##.#.#..##.###....#.##.#.#####.#...##...#.#.##....#.##.#.###..##..##...##.##.#.#..##...#.##...##.#.########.#.##..#..####.######.#.#######.....##.#.##.###.###..#.##.#.##.####..................####..##.#.##..#.##.#.###.#..##..#.#.####.####...#....###.#.#..#..#.#.##.#.##..##.#...##.#####..#######.#..###.....##.#.#.###.##.#......######..#.##.#####...#######...#######...#.####.#..###.#........##...#.########.##.##..##.##.##.###.#.##.####.#.#.###..#.###..#..#.#..###.########.######.#.##..####....##.###.##.#
#.###.#.##.##.#####...#.##.#.#.##.#.#.....##........##..##.#..#.####.#..###.##..##.##..#.###.#.#....##..##.......#.###.####........##.......#.#.#.###..###.#####..#.###.#......#.#########.#.#.###.####.#..###.##....#.##..##.###.##.####...#.#.##.#.#.##.......##..#..##.#..##..####.##...###...#.##.######...#.##.###.###.#..###....###....####...#...............###.###...#######.#####.#####.##.#..#.#.######.####...#.#...##.##.##....#..#.#.#..######...#.##...###.##.##.#..#.###....##.##.#...######......##.#....#.####..#.#.#.##....#.#..#####.##.#.##.##.#...#.####.##.#.##.##.#.##..#.#......#....###......###.#..##.##......##...#.........######.#.#####..##..####..######....#.##.#######.###....#.##..#.###.#..#...##..#.########.##....#.###.##.#.........##.######..#.##.##..###........##.#.##.#..##...#.##.#######...######.##.#......##......#.##..###.......#...###.###...#..#.##...#.##.#######..#.....#.#..#.##..##.##.##..#.#.#####...##..###...##.##############.##............#..##....####.###.####...#.#..#
####..#.##.##.....###.#..#.#.#.####.####.#####.#.#.####.#..##.###....##.#.#..#.##...##.#..##.....##..##.##.#.###.....#.##...#.#.##.#..#.#.#.#.###...##...#.#.###.##...#.#####.####...#...#.#.#...#.#....##.##...###.######.####...##.########.#.#..#####..#.#.#####.##.##...####...####..#..##.#.#.#......##.#.#.##...#.#.####...##.#..##.#####.###.##.###.##.#.#.###.#.#####..#.##.#.###......##.#..#.##.#....#.#..##..###...#.....#.#..##.#.##.#.##....##..#...##.#.#...####..#.####...##.##.##...#.....##.##.#..#.##.###....##.#####.#####.#.##..#.##.####.....#.#.###..##..##.###...###.#..##.##.######.######.###.##..#.##...##.#.#..###.#.#.####.###.#.#.#...#.##.###....##.....###.#.#..#......##..##.##.#..##.#..##.#.##.###..##.....#.##..#.##...##...#.##.####.######....##.#.##..##.##..#########......##.##.#....#.##.#.####....##..#..##########.#####..##..####.#.#.#.#.#.......#...##.###.##.##.....#.##.#######.#.##..##..###...##.#......####..##.####.##.......##.##...####.#.#.####.###.####.#.###.........##.#####.#
##.#.##.##.#..#.###...#.##.#.#.#.......#....##.#.###.#..##.##.#####.##....##.#####.##..##..###.###..##..#..#..##.############.#..########.#.#.#...###..#####.....##.#####........###.#.###.#.#.########.##.#..#...#....#.#..##..###...##.####.#.#.##.....##.#....##.####..#...##.###.###.#.###.#.###.#.#.#######.##.#.#...##.#.###..#####.......###.##...#..#.#.#.....#.....##......#...#.#.#####.######..#.#.##.##.###.....####.#.##################.######.#.#..#.#####...#####..####.#####..####.#.######.#..##.###..#####.##...#.#........#.###...##...##.##.####..##.####.#..##..#.#...##..#.#.....#.#####.#....#.#..##..##.##..#.##..##.#.#.##.........#####...####.#.##..##.####...#.#.##.#.######..####.##.#..#.##.........##.###.####.#####..##.####.##.#....#####.##..#.#####.##.###.###.........##.##.##..##.##.#####.......##.#..##.##.........##....#..####..#.#.#.#.#.#.#.##.#.##.######...#...##.##.......####.#.#..#.###############.#.####.#####.....#..#.##.##.......#....#.#.#....#......#.###...######.#########.#.#
#.....#.##.#.##.#####.####.########.#####.#.#..#.....#.#####.....##..####..#.#......#.###.##....###.##.###.##.#...#####.##....####..#.....#.###.#..###....##.##.##....######.#.#.........###.#..##.......#.##.#.###.#.##...####...##.##.......###.###.#.######.#.##.#....###.##.......##.#.##..###...#.#....##...##.###.#....#...##...#.##.####.#.#..##.##.####.#.##.####.#.##.#.#.##.#.###.....#####.##.##.#.....###...#.#....#####.##.#.##.##.#.##.......#.#.#.##..##...#....##.##..#.#.######....#......###.##....##.#.#####..#...#####.#.####.##.#######...#..##..########.##.##.####.#.##.######.#....##.....#.##.#.#######..##.####.###.#.#..##.##.######.####...##.#.##.##.....##.##.#.####.....######.#..###.####..#.##.#####...######.....####....##.#####.#.......#..####...###....#..##.#.#.#.######...##.##.##...###.#######..##.##.#..#.#####..##.#...###.####.#####.#.#.#.#..#.#......##.#.#.#.##..###.#.#.#........#####.#.#.###...##.#..###.#.#.###.########...#.#.#.#.#.#.####.#.#.##.##.#...##..#..###........#.#..#.#
###.#.###..#.##.#.##...##..#..#.##.....##.#.#.###.#.##...####.#.####..##..######.#.####...##.#.##....#.##...#####....#...###.###.##...#.#.#.##..##...##.####.#...##.###......#.#.#.##.#.#######..#####.###.####...###.#..#...##.###...##.#.##...###.#.#.#.##...###..##.#..##.###.#.#.##..#..##..##.#.#.#.#.###.#.#...####.##.#.#.#..#...##.######.##..#..#..#######.....#.#..#.#.#.####.##..#.###........#####.##..####.###.##...###.##............######.######.##.#####.#.#.##...##.......######.###.#####....##.#.#........####.#######.#.##............##.###.##.##....##..##..#.##...###....##.#.##.#....#.###.##.#....##.#.##.....#...###.#.#####..........###.#..#.###..###.####...###...##.#.#........##.##...##..##.#######..#........#.####...#####.#.....#.####.##.##.##.#######.###.##.#.#.#...##...#..#.##.##.###.........##.##.#..##.####.#####..#.#.............##.#####.#.#####.##.#####.#.#.##.##########.########.#.#.#.#.....#..#.##.....#....##.......##.#.#.#.#.#.###....#####..####.##.##..###.....###.##.....##.#
#...#...##.#.##....##.####.##......#.#.##.#.#.##..#.##.###....#....##..##...##...#.#.###.##..#..##.#.#..###....###.###.#..##.#....###.#.#.#.#..####.##.....#.##.##....#####.####.######..#..#.####......####.#..#..##.##.#.#.#....#####..#.#..####....#....###...##.#..#.##....#.#.#####.######.##.#.#.#####...#.###..###..###.####.##.##..........#.##.###....#.###.##.#.#.##.#.#....#.##.##########.##.....#.##.##......#####.##.#.##.####.###.#...###.....##...#..##...#.###..#.#..#.###....##..##......##.#.#..#.##.#.#.###..#.##......#..##.##.##.######.##..#.....#.##..##..##.##.#...###.##.....######.#####.##.####....#.####.#.###.##..#...######.###.#...#.##....###..##....##.##...####.#.#.#####.#####..#.###.##.......#.##.###.#.##....###.###.###.##.##....#...............##..##.##.#####.###..#.##.#.##.#......#.###.#######.####...##......#.##.##.#.#.###.########....#...##...#..##...#.#.##.....#......##.##.##...#.....##########..#.#...####..##.#.#######.#.###...#.#.####...###.######..##...#.#...#..####.##..#
###.#.#..###.#..#.##....##..##.##.##.#..#####.#####.##.##..#.##.##..##.#..#####.####.#....##.#.##..#.#.##...####.......#.########.#...###.#.##.#.#..####.######..##.#.#...#....#####.#####.##...###.#.#...##...##.###..#.#.#.##.#..##...##.##..##..##.#######..#.##.##.###..#.##.#..#.##.....##..#.###...####.##...##...##...#..#####...##.##.#.#.##########.#.....#..#.#.###..#.#.##.#.##..##....###.#..#.#.#.##..###.##.....#..........#########.#...##.######.##.#####.#.##..#####.#...##.#####..##.#.########.##..#.#.#.#...#######.#.###.##..#.##......###..###.#.####..####.##..#.#.#.#....#.#.#..#...#.....#.##.####.######....#...#..##.#.#...##.....#.##.##.##.##..##.##..##.##..#.#..#.###.#....####..###.#.#...##.#.#.#.#.##..##.#.##.##...#.....#####..##.#.####.##.####.#######.####....##..###.##.##.###..##.#####.######.##.#..###.#..#.################.########.#...##.#.###..#.#.#####.#.#.##.#.#.#.##.#..........###.########.##.#####.###....##.####....#..#.######.##.#....###......##..##.####.####.###....#####.#
###.####..##.##.#..####..#.##..#..#..##...##...###..##..##.####.##.##..#.###.#....##...#.##..#..#.##.#..#.#....##.#.##.###........###...#.###....##...##..##....##..#.###.###.####.#..........#...###.##.###.####.#.#.####.#.#..##.##.#..#####.#..###...##....####..##.####.#.##.##....#.#.#.##.##.##..#...##.##.#.#..#.##.####..#.####.#...#.#.#..##.##.#...##.##.#.##.#...##.#.#..#####..####.#.....##.#.######.####..#.#.#.#######.##.....#.######.########....#....##.#..##..##...##.##.....##.##..###.#.#.#...##.#####...####......#.#.#.##.##.#..##.#..###.#...#..####.#.#..##.##.#.#####.####.##...###.#.#.#.##....#.###.####.###.##.##..#.##.###.##.####..##..#.##.#####..##..##.##.##....##.##.###..##...###.#.#..#######.#.##.##..#..#####.##.#.#.#..#..##..####...####..#..#.#.#.....##.#..##...###..##...##.#.....##...###.....#.##...##.....#.#.#.##.#####....#.....##.##..#...##.#.###.....#.###..#.#....#.##.#.#.###.....#...............#.##..##..#...##.##...#####..#########.##...##.#....#####.....##..#.#.#####.#..#
#....#.####..##.##....##.###..##.###..########...##.###.#..#.....#.###.###.....#.##..#.#.######.######.####.##.##.#.##...##.#####.....#.#..##.#.###.#.##.######..##.#.#........#.#...####.###.##.##...##.##...##....#...##.####.#..##.##..#..#.##.#...#####.#..####..###.#..#..#####.#.#####.####...##.##.##..##.#.##.#..#.##.##....#.####.####.##.......##.##...#.#.##.#.#.##.####.....#.###...#.#.####.####........##.#####.......#####.####.....##.#......#.#.##.#.#########.##..#.#...##.#.#######.........#####...#.#..#.##.###.##.#.#....#..####.####.##.###.#.##...##...#.##..####...##...##..#..#.###.#.###..#.#.##.......##.##...#..##.#.##.#.###....###..##.#..#.....##.###..###..#..#.##..##.....####.#########.....##..####.###.##....##.##.#.####...####....###..##..#####...##.#######.##..#...##.##.#..#.##.#.#####...#.########.#.##.###........#.#.#.#.#.##.#####...##.##.#####.#####.#.###...##.###.##..###.#...#.#.#...####.#####.#.##.###..#.####..#.##.#...#.##..#####.#######..#.#.##..#.####.#.###.#.#.......##.#
#.##......##.#...##.#..#########...##.......##.#.#....#.##.##.#.##..####...#.#.#..#.##.#...##...#####....##.##.####.##.############.#.###.##..#.##..#.##..##....##..#####.#.##.....###.#####...###..#.#...##.###.#.##.###...##..##..#####...##.##.#.#...#.#.##....#.##.....##.##.....#####......##.##..##..##..#.#.#..#.##....##.##.....##.#.####..#######...##.#########.###...##..#.#.#...##########.#....#####.##.#....##..#########.#####..###..#...###.#######.#...##......###.#.#.#..###..#.#.###.#####.######.#...##.#......#.##.#.##.#.#.##.......#..#.##..#..#.###..#.#.###....#.#.##.#.##.###.#...###..##.##.####.#.#.#.##..##.##.##..#.##....###.#...####..#.###.#.##....##..###.#.##..#.###.##.##.##..#..#.##..#####..####....#..####..#..#.#.##...#..#.#.##...##....##...#.###.....#.##..##.##.##..#..##.###..#.#.#######...#.##.#.#.##.##..#.####.......#.#........##.##..##..#.#....#.###...##.##....#..#.####.#.###.#.#.#...###############...##...##.#######.#.#..##...##...##.##..##.###..##......#..##...###.##.##..#
#.#..#.####..######.##.#.........#.##.#.###.#..###.##.######..#.###...###.##.#.##.#.##.#.#..###...##..#.###.##..##...###.####....#..#..##..##.#..##.###..##..#.######.....#.#..#.#...#.....#.#...##.#.##.##....###..#.#...#.##.####..##...####..######.##...##.####.###.#.##...###.#..##.###.##..###..##..##..##.####.######.###.##.#####.....####.###########......#.#########.#..######.###.##.#.......##....##..#.##.#..##..#####..........##.############.#.#.#.#.###..##.#..##.###.#.###..##...#......#####...#.##.##..##.##.####..###..#.#######.#.###....####.##...##.#.#.#.#.##.###.##.###...##.###..##.##..##....###.#####..##...#.###.#.##.##...#.#.####.##.#...######.#.####...#.#.##.##.##...####..##...##..##.....##.##...##.#.####..##.##.#..##.###...#..#.#####.######.....##.####..#.##...#..#.###.##.##..##...#.###...#......#.#.#..##.##....###.########.#.#####..###..##...##.#...###.###...##.#.##.#....###..####.###.###.##........##..#.#########.#.########.#..#....#.....#.##....##.##.###.###.#..#..##..#.#####
####.#....#.####.....#.##.###.##.#.#..#...####..##.##..#.#...##...#####...##.#.#..#..###.#.###..#.##.##.##..#..####.##....#.####.##.####..###.#.##...###.##.##......#####.#.#.##.#.#...#####.#.####.###..#..##...#.####.#.#..#....##..###....##.##.....##.#.#.....#...###..######..##.....##..##.###.##..####..#.##...##.....#.#.##....##.#.###.#..........#####.##...#.....##..##.....##..##..#...##.#.##..#.###.##.#..#.####.......#.########...##..............#.#...##.#..#.##...##.#...#.#####.###.####.#.#.############..##....##.#...##.##.#....#.#.######..#..##.##..#.###...##...####...##.##....#.#########..##.##..##.###.###.##...###.#...###.###......##.#.####...###....##.##.#.##.####..#..#.##....#....####.#.######.#..#.#..#.####...###.##..#.#.#.#.##...##..####.#.#####.......##..##.##.####...##.#..##..#.....#.####.#.#.###.##.##..#######....##.#.###...######...####.##..##.##.....##.##..#..#.##.#...##...##.##.......#.###.######.#...###...#.#.#.##.#.#...##.#.##.#########.###...###.....#.#.###..######.###
#....##.#####....#.###.####...##.#.####.######.###..##.#...#.#..###.....#.##.#.##.#.##...####..##.##.#...####.####...####.#.#.#........##.#...#.###.##...##.#..#.#####....#.#.##.#.#.#..######.###...##.###..#.#####.#..#.#.##.####..##...#.##..###.##.##.#.###.#########.##.#..##.##.#.#..#####...#..##..#.#.##.###.####.#.##.#####.#.##.#..##...#.#.####....##.##.#...###..##..##.#.##..####...#.#..#..#.##...#..####.#..#.##.##.###...###.##.#....#.#.#.#####.##.###.####.##.##.#.#..##.##..#.##.###...##.#......##.#..##..##..####..#.#.##.##...#.##...#####..##.##...##.#.####.##..###....#..#.##.#.##.#.##..#######..##.....##...#..#.###...#.###....##.#.#.###.#......#..##.#.##..##.#.##....##.##......#.########...#......#.#.##.##......#.###...##.##...#######.####...#........##.##.#.######.##....#.#.##.#.####.#.##.##.##.############..##....##.##.#....#..##.###.#.##.#.##....##.##.######.##..##.#.##.####.###..####..##.######...#.....####.#.....#........#.#...########.....#....#...#########.#.###.####..........#
###.###.##.#..##.#...###....###..#.###...##.#..##..##..#.#.#.##...###.#.###..#.##.###..#.##...##..##.#.#..##...##..#.#..........####.#######.##.#....#.#..#.##.#..##...##.#.#.##.#.####......#.#...#..###.#.#####....##.###.#...##..##..#.#####..##.##..#.#.###..#.#.##......#.##..#######..##...###.###.##.######.....##.#......##..#.##.#.#####.###....##########.#.#.########..#.#####....###.#.##.#.######.######...#.##.....#######......#.##########....##..#.##...##..#...######..#.##.##........#......#######.#.####..##....##.#.#..#.#..#.#.##.###.....##...##.#####.#.....##...##.#.##.###..#..#....#.##.#.#.######.#.####.###.#.###.#.#..##.#.#####.###...#.################..###.#..#########.#.#.#..#####.###.#.#.####.#.#..#..##.#########.##.#..####...##....##.##.##.###..#.##.#......#####.#####.####...##.#.##................#.#####.##.....###.##...##....#.#.####..##.######.....##..##.##..###.....#..##.###.#####...#.#..#.##.##...##.###.#.#.#.#.##.....#.##.##.###.#.##.######....##.....#.##...#.##.##.#.#.##
#...#......##..#.#.#..##.#.##...##.#...#....##.#..####.#.#.#..##.##...#..##.##.#....##.#.##.#..##.##.#.#.##..#..##.#.#.#.#.##.#.#........##...#.#.#.##.##.#.##.#.##..#.#..#.#..#.#....#.#.#.##.#.#.#.##...........##..#.##..##.##..####.#.....##.#...##.#.#.#...##......##.#....##.......#.##..#..##.##........##..#.#..#.#.##.#.##.##.##.#.##.....##.##..........#.#.#......##..##...##..#.##...#.#..#....##.......##.##..##.##......##.##.#............#.#.##..##.##.#.#..##.#....##..##.#...##.#.##.##.##.#.............##.##..#.##..#.#.##.#.##.#.##.....##.##..#.##...##..#.##.##..#.##.#.##..##.###.##.#............##...#.##.....#.#...#.#.##..#.#.....#...#.#.#................#.##...##......##...#.#.##.......##..#.#....#.#.##.##..#.......##..##.##......#..##.#.#......#.#...##.#..##.#.#.....#....##..##..#.##.#.##.#.#.##.#.#.#.#....##....#.#.#...#..#.#..##.#.......##.##...##....#.#.##.##...##...##.##.##..#......##...#.....##..#.##.#.#....#.#.#.#.#..#.##.##.........#.#.........##.#.##.#.#.#..##.##.....#.#.#..#
######################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################################E#
Reference in New Issue View Git Blame Copy Permalink