500 500 0
...#......##.##.#.#..##..#..##..#.###...##.#...#####.##...#......#####.#.#.###.##..#.##.##.#.###.#.#..##..#####...##..#..##.##........##.###.#...#.##..##...##.##.##.....#..#........####..####.###...########.#.#..#......#####.###....#...##.##..#.#.#.##.#...#..#....#.##.#..###...####..#..#....###.....###..#.###......###.##..####.....#..#.#..#.#.#...####.#.##########.#..##.#.#.#.#..#..##.##.##..#.##.####.######.###.#...##.#..##.###.#...#.#...#...#.#..#..####.....#.#.##########.##..#.####.#...###..#
..#..##.###..###.#..###.#.#...#..##.##..#.##..####..#..#.#..#.##.##......#..#....##..###.#.##.###.#..##.##...####..##..##.##....##....##.##.####.#.##.#..#.###........##..###..#..#.######.#.#..##..#.#...#.###.##.#..#...##....#..#...#.###.#..#..#.##....#.#.###...##.##.##.#.#..#.#.#.#.........#.....##.#.#.##.##.###....#....##.####.##....#.#..##..##....####..#######.#.##..#.##.#.....######...####...#..##....#.##.....###......#######..#.#.###.##.#..###..#..##.#..#.##.#...#.##..#..#.#.....##.####.....
...#.##..#.#.#.#..#.##....#.##..#.#.#.###...#.##.####.##....###..#..........#.###.##.#...####..#.#.....#...##.#.##.####....#####.#.#.##...#....#..#..####..........#.#######....##.##.#.##..##..#.####..#.....####..###.########...#.##.##.####.####.#..#.###.#.##.##....####...#.#.####..#.##...###.#..#.#.###...##...#..#...#.##.#..####.#...#....#.#.#.####...#.#.....#..#..##.#.......####.....###..#.#.#####..#.##.###.#........##...##..#...#..##..#.##..##......#...#..####.###.####..##.#.###..#.#.##.##....
#.#.###....##..####..#....###.#.....#.##..###.....#.#.#...##.#####....###.#...##.##..#.####....##...#.###.###.#..#.##..#..##.#...#.#######.##........#.#..#.###.#..##..###..#......#...#.#.###..##.#.#..#.#.##......##..#####.#..####.....##..##..#.##.##.#..###...#...##..####.#..#.#...#...####.####.#.#.#.##.#..#.....#.#.#...........##...#...#.#.##...#.#.#.######..####..#..##.###...#..##.#.#...##.#...#.#......##..####.#.###.#.#.#...#..##..#.#.#...####.##.#..#.####.##...##...####.##.##..##..##..#.#####
...#.#..#.#..##.#..#.####...####.##.##..##..###..#.##..#######......##.#..#.#.##...#.....#.#.#.#.##....#.######.#..##.#.##.##.#...#..#####..#.######.#......#.............####...#...#.#..#.#####.#..#...#...##..###..#.#.#..###......#.##..#.#...##.#.#.#...#..#.##....##......#...#.##..###.#.##.###.#.#.##....#..#..#..#.#..##.....##..##.#.##.##.....#..#.#..#.##.#.#.###...####..#..##.#.#.###..#....#####.###.##.#....#...##..##...#.##.###.....###.###.....##..######..#####..##.#..##.#.##..##.#..#.#.#.##.#
##......##..###.#...#..#..#.##..#.#.#.##....####...###.#####..#####.#.####.###.#####.......##..#.##...#.##..#.#.#...#.##..##.#..##..##...#.....##.##.##.###...##...####....#..#####..###.##.##########..###.#...##....#.#.#.#.###.##.####......#..##..####.#...##.#.##.#....##.##.#..##.##...###..###.#.##..#..#.#.###.###.#.###.#.#.#...#..##.#...#..#....##...#.#....#.#..#.####..#.#...#.#..###...#...##.#.##.#.##.##.#..###.########.####..#.#.....##....#..#.####.#.#.##...#.#..##....#...#####.####..#.#.....#
..#..##...#..#...#....#######.#....#.#.###..##.#..##.##.#####...#.#.###..####.##.#..##....#.....###.##...#.##.#####..###...##.###....#...#.#.##..##.#######...##.##.##..#...#.#.#.######.###.###.#.#..#..#.#.##.....#####....#..#.##..####.###....#.#..#####...##....##........#.##.#.###.....#.#.#.###...##..##...##..#.#.#..#.##...####....#.##..###..###..###.#.#..##.#.#.....##..####.###.##.##........##..###.#####.....###.#.#..#..#####.#...#.###.#..#..####...#.####..######...###..#....##.##....#...#.#.#.
###..#...###....###.#..#..##.#...##......#..##.#.##.#..###..#..####.#....#..#...#.##..#.#..####.#.#.#.#..###.##.#.##..###.#.#.....##.#.##.#.#####.#.##.#.###.#..##.#.###.#..#.#.##..##.#..##..#...######.###....###.#.#..##....#.#..##.###.##.#.#.###..##..#.#...#.###.....##.#####..########.#.##..#...#.#.#..#########....##.#....###.#....###.##.##..##..#.####.#.#.###.####..#.###.##...##.....#####..#...######...##.####...###.#.........#.#.#.###.#.#.###.#..#..#.#.###..#..##.#.##.....#.###..##..####....#.
...#.#.###.....##.###.##.#.#..##..#..###..###.#..#.##..#......#..#....###..#.#.....#...##.##.##...#....#..###..###.#....###.##...##.#...##.#..##.#...#.#.###.#..##..##..#.##.##.####.#.#..#....#.##..#.##..###.#.#..###.#.##..########..###........########...#.######...##.#..##.##..#...##....#..#..###.#..#.#.###....##....##...#..#.....#....##.#####..#.##.###.#.##..##.#....###.#####..#.##.#....#.#..###......###....###.#..#.##.........#....##....####.#..###.##.##.##.#.###.#.##...#......#...####......##
##.....#.##.#.##..##..##.#####..###.##.###.#.#.##.#..#.#..#..##...###..#....#.##.#...#...#.#....##.#.##.#.###..##.#...#..#..#.#....#....##.....####.#####....####.#...####.#..#...#.#...#.##.#..#...####.#########.#.#...#.##.......###..###.#..####..#...###.#.##.#.#.##....##...##.#....#....####...##..###..#.##.#.##...........#.#....####.###...##.##...#.##.###.#.#.##.#.#.#.#..##.##.....#...#.#.##...#...#.#.#...#####.##..#....#.#..###..#.#.###.##.###...#.###..#..#.#.##...####.#...#.##..#.###..#####.##
.#..#####.#####..####...#####.####..#####.....#.#..##..##..#.#.....###....#######...#.##.#.#.#..####..##..#.#.##..####..######.#..##.##.##...##.##..#..#....####.##..##...#.#...##.....#.#.###.#.##.#...####..#..#...##....#.###..####..##.#....#.#.#....#.#..#.#.#..####....#..##.##.##.##.#.#.##....#.#..##.#.#...###...#.##..#..###.##..##.###.#..#....#.##.#..#.....#.##..#.#...##..###..#........#...#....###.##.##...###..##.#..##....####..##.#...#.#.####.#...#...##.#.#..#..##...####.#..##..##..##.#.#..#.
..####..#.####...#..###.##..#.#..##.#..#.#....##.#..#.##..##.##.###..#...##.#######......#.##.###.#...#.####.##...##.###..####.#.#...###..##.#.#...###.##.####.#....#..#...#####.##..#.###...###.##.#.#####...#..#......###.#.....##..#.##.##..#.#.#.#.#.#....#####..#.#####..#...###....#...#.##..#.#.##.#.##.#......#.#.....##...##.#.....#....#.##.##..##.###.......####.##..#.##..####.#.##.##.#..##.##..####...##.#.###.##...##.###..##..#....#.##.#.#..#.###.######.####...##.###.##.#....##..#..######....###
#...#.....#..#..#..##..#..##.##.##..##.##.####.###.##..####...#..#.....##.#.##......#.#..##.#..#..#..##.....######.#.#..##.###....#.#.#..#.#..#.#..#......###..#.#..#.###.#...##...#..#...###.....#.#.#.###.######.#...##.#...##.##..#...###..#.#.###..#..##....#..###.##..#.###.######.......#..#.#####....#.#....#...#...###.#..#..#....#####.####.#.....#####..#.#.##....###.#.###.#.#.###....####..#...#.####.#...###..#....#.#####.#..#..#.##########..###.###.#.#..#.###....##.#..###.#....#.....#....##..##..
...#...#.#...#.##...##.#...#.##..##..##..###....##..###..#..##.##.#..#.#..##.###.......#.#...####.#..####....##.###.##....##.#......#..####..##...##.##.#.##.##..#..##.###.#.##.#.#######.#.....#.#..###..###.#.#########...########...#...###.##...####..#.#.#.##...#...####.###.#.##.##..#....#####.##.##...#.##.###.##..#.#.#.....#.#..###.#..###.##......####.#############.####.#####.#.#.#.###.#...#########...#..##......#.#.#######...#..##.##..#.#...#.#....#.#.#............###..#.#.##....###..##......##
....##.##...##....#.#.##.#.#..####.##..##.#.####...##...#..#.###.#...##.....#.#..#..#.##.....#####..#..#.#..#...#.#...#.#..##.#.##...#.#.....#.#....#.#....#.###..##.##.##.##.#.#..####....###....#..#.####...#..##.###.#.##..##.#.#...#.......##..###.###.#..##..#.###.####.##...#.......####.#............#.#..#.####.#.#.####....##.##.##..##...#.#.#..#....##########.#...#....#.#.###..#..##...#####......#.#..##.##.##...#..###........#.......#.#####.##.##.####..##..#.##....##..##..#..#.#.#.######.#..####
##.##.#.#....#.#.#.###..#...##........#.##.#.##...#..###...######.#.##....##.#.####..##.#....#.##...##..#.#.##....##..######.##....#####.##.###.##.##.##..##.....#.....##...#####.###.#.#.##..###.#######..#.##.#.##..#.#...###.###.####.##...##.#############.##..#..#.#..##.....#..##.#.#..##.##..###.#.##..#.#####.#.....#..#.#..##.#.#..##...#.....####..#..###.#.###.##.#.#....##...#.##..##.#.####..####..##..#.##.##.#####...##..#.#....##...#.##......#####...#..#..#......#.######..###.#.####.#......#...#
..###......#####.##.##.....#......#.####.#####.#..#..###.....###..####.####.##..##.##.##........##..#...##..#####...#.#......#....#######..#####.#####.#.#.#...##....#####...###.####.###.###..##....##.......##.##.#...###...#..#####.#.#.#..##..##...##.#...##.....###........##.#..#...####.###..#.#..#...##...#.##.#.#.#.#.....#.########.#.##.##.##......##..#..########.#.##..##.##....##...###..#.#.....###.##.###...###.#####.####.#.#....##..###.#...#.##...###.#....#####.#..###.#.#####.#....##.#.#####..
##..##..###.##.....#....#......#####..##.#..##.##.#######...#..##.#.##...##...#.....###..#..##.#..##.#.##.##..#..####...#####.##.###....########..#...######..#...##..##..#.#.....#..######.####.#...#..###.#.##.##.#..###...##..#.##....###.....##.##..###.#.#.#...#####..#.###.......#..####...#..##.#.#......#.#...##.....#...##......##.#...#..#.#.#.##.#...#...#.#####.###.#.#.####.###.##...##.#.#.#..#######.#.#.....##.#..#.#.##.#...####.##.#.#.#...###...##.#....#####....#.#.#.######..#..##.##...##.....
.####.##.#...##.##.#..##......#.####.#.#.###.#...#..###..#.#..#...###.##..##....#####.##.###...#.##.###.....##.#.##.......#####.###.####.##...##....####.#..#####.#...#.#..##.#####....##.#...#.....####..#.######..##..###.#.##..###..#..##..##.#...##..#....###.#.##.#######..##.##....####.####.#.###.#.....#.....#...#....#.###...####.##..#.###.###.#...###.###.####...#####...##.##..#.######..#.##..#.#####.###.###..#...#####......##.#.####..#.....#..#..###.#...##.....###.#......###..##...#...##.#..##..
#..#..##....#.#.#.#...##....##..#####.###.####.##.#..###.#....####.#...####.##....##..#####..##..##########.####.......##.####.##..##...##.##..#...#..#.#..##..##.##......#.##...#####.####.#...###.#..######..##..#..##..##..#..###......#.##.####...##.###....######.#......#..#####..###.##..#.######.#...##..##..#.#.....#....#.#......##...#..#...#.#..##...###..#.####....#..##.#....#####...###.###.##.#.##..##.#..##....#.#..##..#....##.#...####....####..##.#..##.##..#.#.....#.#.#.##...#.#.....#.##.#...
##....###.########....#...##.....#.#..#........#.##.#.#..###.........##.#.#.....######.##.##..#.#.##.#..##..##..#######....#.##.#...##.#...####.##.#..######..###.#..#.##.#..#.#....#.#.#.##.##..###...####.####..#...##.#######...#.#.###....#####...####....#.##..##..#..##.#.##...###..#.....#.##.##.##..##..#.#.##..#.....#....#.##.##########....#..#.##.....#...#####..#.....#...#.#.#....#######....##...#.##.#.####..##...........##.#######.##.###.#..####..##.#.#..#####.#.###.#.####.#..###..##..#.....#.
##.#.###..#.###...#...#.#.##..#.##.##...#..##..##.#..#...##.#.#.#..##..#..##.#.##...###.#.....#.#####..#...##..##.#.#..#...##.#.#....#....###.#...#...#......#.###.###.###.#..#...##.###.##..#.#..#..#.#.#...........######.#.##...#..#......####.#..#..###.##....##...##.#.#.#.##...##.###.###.#.....#.##..##.......#..####.#.#.##..#...##.##.##...#.###.##..###.##.#.##.....###.##.##.#..##.###..##.#..#...#.###.#......#..#.#####.##.#..#.####...#.######...#....#....#.#...##.###.##.##.#####.....#####...#.....
##.##.###.######...##..#.#.###..#.###.##.###..#.#...##..#.......##.##.#.....######......##..#.##...#....#.##.###.......#...##.##.#..#...#..###..##....#...#.#.#...##.#.####..#.###....#....#.####.###..##..#...#..###.####..##..#.#.#.#....##.#.#.###..###...#.#..#.###...#..####.#....#.##.#..#.##.#########.##...#.#..####...#####...##.##.##........#.......#####.#...#.##.###..#.###....#...##..#.#.##.........###...#..##..###.##....#...##.###...#####..##.#..#..#...#.######....##...#..#.#.#.#.##....##....#
...###.##.##.#.#.####........##......#..##...#..#.##...#..#####.###....##.###....#.#...##.###..###....#.#.....#....#####.####.##.##.#..#...####..#.#...##.#.#.#.#.#...#.......###...#....#.#.#...##.##.#######....###.#.##.#..#.##.###.#...####....#..#..#..#....###########..#.##.#.#..#.###..###...##...###..##........####.###.#.###..#....#..#..####.##.##....#########..##.#...########..#..#.###..#.#.##..####.#....#.#..#..#...##.##...##..######.###.####..#.#######..#.##.#......##.#####.........###.#..#.
#.#.#.....#.#.###.#.##.###.########...###.##.##..#####.#.###.###.#.#..#.##....##...#.#...#.#...####.##..#...#..#..##..###.#...#...#.##..##..###.#.####..###.#.#.#....###...#..#....###..###.#.#.##...#..##.#......#.#....####..#.##.#..#.#...##...##...#..#.#...........#.#.###....#...#.##.#..#..###.##.##.#..#.#.#....#...#.#....#.###......##.##..#.###.#.##..#..#....##...#.#.#....#####.#.#.#####....#.####..##.#..#####.#########.##.##.......####...####......##....###..#.##...##.#......#..###...#####...#.
.#..##...##..###....#####.#.#####...##.##.##..#####.##.##...##.#.#.##..#...######..#.#.##.#...######......#.########.#...##.#####..####.##.#.####.#.##.#####....#.####...####.##...##..##...#..##...##..####.#.#.##.###.#....#..#...#..###.#####.......#.##..#....#......##.#......#..#..####...###.#..###...###.#.#.####.#..#.#####..#......#.#.#.##...##.#.#.##......##..####..#.#.##..##..##..#...#.#..##.##....#.###..##.##...##...###.######.#.....#.#....##...###..#.#.....#.....##..#.##.#.....##..##.#..###.
..##....##.##..#.#.###..##.###...##..#....##.#.####.#.######.#.#..#......###.....#.##.####.#..##..#.#...#####.##.#......#...#....#.##...#....#.###..##..###.#.#.#.#.#...#.#.#...###.#..##..#.###.##..#.#.#..##.##..##..###..####.#.#....##.##....##...###..###.###.#.####.##.#....#.#..#..#.......###.#.##..###.#####..###.##.##......#..##...#..##..##..##..##...#.##.#.#.####.#...#.#.#..#.#..##...#.#....#.#.#.#.#.#.#..####..#..#.##...###.#.##..##.##.##...#.##.###..#####...##..#..######.....##.###.####.##.#
..#.#..#.##.......#.##.#.###..#..#......#..###...#..###..###....#####..##...##.....##.######....#####....#.##..##.#.#..#.#.#####...#....#...###..##...####...#.####.######.###.#..######.#...#.#.###..#.#.......##...#..##..#.##.#...#.##.#....#.####.#####.....###.##.##....###...##.##..######.....##....#......#.#...##..##..#..##...##.###..#.#..###.....##..#..##.#.#..####.###.#.####.##.#.#.##..#.##.#..######.#.#..##........#..#.#...#....#####...##.#####.####..##.#.#...#.#####.....###.....##.#....#..##
####.#..##..###.....###..##.#..###.#..#.####..##.###.#.###.#.##.##.##.#.....#.....#..###.#.####...#.#...#.#...##.....###.#...###.##.##.##..#..##...######...#.#...#.##########.#.####.#....######..##...##......###...####.....#.#.#.######.#.###.##.##.###..###.#.#.##........##...##...#.#..#....#######....#.##..#.######...#....#..#..#.#.#..##.#.##....#.###..##.#...####.##..#####...###..#.#......####...###.#..#.......#...#.#.#.....#....#.#...#.###..#.#.#...#.####.#.##.#...##.##..#.#.#.####.#..#..##.##
##.##.#####.####..##..#.#####........#..###.#.#..####.##.#..#.#.#...#######.#.#.##.###.#...#..#..#..#####..#.#.#.#...#...#.##.##.#...#.#.#######.#....####....####...#.#.##.##########..#.###.#....####..#...######.#....#.####.####.###......##.#.###..#.##..####.#....#.#...##..#.#.#.#.###.#.##..#..#....###...#.##.#..###.##.#...#.....##..##..#.....#..##..#..####..#......#.#.#.####.##.#..###.#.#####..####..#.#..###.#....#.#..###..#........#.##.####.#...####..####...##....###.##.#..#...##.#.####.#.#.##
#..#.##.#..#..##.##.####...#..######.#.####...####..##.#..#####.#....##..###.#...#.###.#.##.##....#.#...#..#.#..##.##.#..##.##......#..#.#...#.####..###.....#..#..#....#...#.##...##.#..##..#.#.####.....#.#.#..#.###.###...##.#.###....##.....#.####..###.#.....##.#......###.####.#....#####.##..#..###.#.##...#.#.#.#####..#.#.##...#...#....####..#.....#....##.#.##....#...##..#.#.....#.###.#.#...####..#..###.#..###.###...#.#.#.....#....#.##.#..###.....#######......#.######..####..##.....####.##....###
..#..#.##..###.##.###..###....#######....#.#.#.#.##.###.##.....#..#..#.#..##.###.#...#....####.####....#.#.###.##.#.......#.#..####..##..#..#....##.##....#..#.####..####.#..###.#.###.#.#........#..###...#...##.#..##.##..#...#...#.#...##..##...#....###....##.##...##..#.#.##.##....#.##..#.##......#..######..##.#..##...#..#####....##..##.#.....#.#....#...#..##.#.#.##..#####.###..#..#.##.#...#.#...#.#..##.#.##.....####..##....######....##.##.#.####.###.###..##....#.#.####....####..#..#.###....##.##.
.###.#..#.#...#..###.######..##.#...#.#.#..#.#..####.##..#..#.######..#####.####.###.##..##.#.#.##....###.#..#...###....#..##.#....##.#.#.#.#..##.##.##.#.#..#.##.###.##..#.#.###..#.##...###.#.#.#..##...##.#.###.##.#####......#....#.#.##.#.#.##..###..##.####..##.....#######.#..#####..##..#...#...##..######.#..#####..####..#.#...###..#.#.##.#..###.##.##...#.##.#.#####.####.#....##..#.#.######.##.#..####.#..#...###..#.#.....##.##.#.###....###.###..#####..###.#.####...##.###..#....#....#..#.##.#.##.
##..#..#....#.#.####..#..###.#...#.##.##.#..##....#.....#..##.###.#..#.##.#.###...#..##..#.##.##.#.###.#.####.###.##..##...#.##..#....##....#.#...###.#.#.##.#....###..######..#.#..#...######...####...##..#.####...##.#..#.#....#.......##.####....#####...#..#...#.#.#..###..#.#.#.###..##...#####...#...#..#...#.#.#.###..##..#..#.###.#.##...#.#.####.##.###.##.####..##...#.#.#.....##.##..#.#.#..##...###..#.#.######..##...#.#...#....##.#...##.#.#####.#.#...######.#.#.#.##...##...#.###..###.#...#..#....
.##.#..###..#.#..#####..#......#...##.#...###.##.#####.#...######.##...####.......##....#...##.##.#.###...#.#.#.#.###.#..###.#....####.#.#.##.#.##.#####..##.#.#.####.#.....#.#.#.##.#.##.#..#.#####.#.#...##...###....##...#.....##.......#######..####..#..#.#...#.###.#.##.#####..###..#.#.##.....#####.#.#..###.#......###..#.##.######..###.#.#..##.#....###.###.....#.#.#...###.#.###.#.#..#.#......#..##..###..##...#.....###.####.#..#.#..##..####.#.##....##.#....###.##..###..#...###.##.##..######.......
.####..#.##.#...#.##.####..##.##.#.#..##.##..#......#.##.#...##.####.######.#....####..###.#..#...##.#.#.##..###.#......#..#.#.#..#...###.#....#....#..#......##...####.#.#.#..##..####.##.#..##...##....#######.#####.###.#.#..#....#.#.#.###..###.#..#.##..##....##..##...###.....##..##...######.#..#.#.##.#.#..#.##..###.......#.##.#.#.###.#.#.#....#..........##.#.#.#...#..#....##.###.######..#####.#.###..####.#####.#...##.#...###.####...##....###...#####....####...#.#..####..#.#....#...#.#.#..##..#..
..#..##.#...##.##..#...##.####.##...#..###...#.#..##..#.##..#...#####.###...#...#.#...###.##.#..#..############.....##.##.#..###.##...#.#......#..####..#..##..#####...##....##..##...###.........#....#..#..#.#.#.....##..##..####..#.##...#....#.#...#..##...####.#.####......####..####.#..#.##.#.########..##.####.##..##..##.#..#..#.#.#..####.#...#..##.####..#...###..#.#....#####..#..#.########.#...####.#.###.##.##.#####..###..##.####.#..#.###.#..##...#..#.#.##.#.##.####....#.##...###.#.##..##..##...
....##...##.....#..#.#..#.#..####.##.##....#.#####....#####.######.....#.#.###..#....#.###..#.#.....##.####....#..###.##.#..#..#.......#...#.#####.######..#####....###..#.#.##..###.#...#...####.....#####...#......###.###.##..#...#####.#..###.#...###..#..####.#..#.....######....##...####.######...#.##..##.#####....#.#.#....#####.######.##.#.##....#.###.###.#..#..#...###.##.#####....###.#..##.....##..#....###########..#...###.#####.####..#...##.#....###.#.##....#.###.#.##....######....##...#...###
#..##.#.###.#....#..##.##..###.#####..####..##.#.#.......##.#.####...##.##.###..#.##.#..##...#...###.#.#..#.#.................####..#.#.#......##.#...#...##.###.#.#.#.....####.#..#...#.##..##..##########....##.#.######.#...##..#.........#..#.##.##.#....#.#.##.#........#.#...#.#####..#..#.#...##.####........#...#.##..##..#..##.##...##.##..#..#.#..##..#.##.#.#....#...#..#..#.####...#...##....#..##.#.#..#.#...#######..###......#..##..#.#.##.###.##.#..#..#.#.#####.##.###.###.##.##..###...#..####.##.
..###..###.##.##.##..#.#..##.##...##..#...#####...#.#.###..######..##..#...##....#..##...#..##.###.#####...##..#.##.#.....###.#....#.#####...#....#..##.##...##..##.########.###.##..#.....##.#.##.###.##...##.....#.###.#........#.##...#.#..#....#.##.##..#...#######..######.#..#..###.##.#####.#.....####..##.#.#..##..######....##...###.##..##.##..###.....###.##.#.#######.#.....###.###.##.##.####.#.#......#.#.####....#.#..#..###.#....#.##..####..##.####..#####.#.##.....#.#....#.#.##.###...#..##...#..
.#...#.####...##.##.##.#.#....##......#..#.##......##.#.##.#.##.#.........##...#..##.#.##.#.#####..#####.##...##.#..######.#..####.#.###..#.#.##..##.######.##..#..##.###.######.#.#..##.#...###.##.###.#..###.#.##.......#..###...#...#.##...###...#.#...#.###.#....#...##.#.....#..#.....#...#...##.##..#######.#.....###....#..#..#..##.#..#####.....#.#####.......#...#.#..#####.#....##.#.##....###.##.#..###.#.##..#...###..####.###.##...##.###.##.....#.#####..##...#.#....#..#.####.#.#####..#######.#..###
########.#...####.###.###.#..####.##..#..#...##...#.#.#..##..#.#.#######.###......#.#.###.#...##...##.#..#..##..#.###..#.##.####.#..#.#....#....####.####..##...##.#####.#######.....#.#.##.#..##.#....#.#......#.##......#...#...#...##.#....##.#...##...#.##.#..##.#.#.#.#..#..####..##.###..###...#...####.#.##.#.#.#...##........#.........##..#...#.......#####...###.#.....#..###.#..#......###.####...##.##.#..####..####..###...##..###..##.#..###.#..#....#.###...###...###..##..###.#.#..#####.#.#.#.###.#
.####...#.#.#....#..####...##.##.######.#.#..#..#......##...#.#..###.#.##.##.#.#...#..##.##.#.##.#..#.#.#...###...##.#.#.#....##.#.....#...#..#....#.#..###.#.#.#....#..#..##.#....###.#..##.###.##..#.##...#..#######.#.###.#....#.#..#..##..#..#...####.##.#######.######..#.###..#..#.##..#.#..##.##.#.##...#...#.##..#.#..#.###.###..##.######..##....#...#.##.##..######.###.##.#......#.#.##.###....##.#.##.#....###.###...###....###...#.#.#.##.#...#.#.#....#.#.#.#.#....###.#####..#########.#.#..####.#.##
#####.#..##....#..##........#..##.#.##.#.###.###.###.##....##.##.##.#.###.#....#######.###.#.#.#.#..#.###.##..##....##.####.#.#.#.###..####......#.####...#####...##...#..#.##.#..####.####.##.##.###.#.##......##.###...#..#...##.#.#.#####.#..####.######..#..#.##...###.#.#.#.####...###.###......#....#.##.##..##..###..#..#.#.#....#..###.##....##..##..#####.#.####.#....##.#.###..#.#....#..#.###....#.##...#.####.#.....##..##..#..#####.#.###..##..#.#.##.#..##.####...#.######.###.#.#.##..####.###...##.#
..#..#..#.####.#..#...########..#.#.######.###..#...###.#.#..#..#.#.#...###.##..#..#.##..#.#...#.....#...#.#.#.##.#.##...##.####.###..##..#####.#.#..#.#......###...#.#####..#.#.#.###....##########.#...#..###....##.#.#.#..##..######.#.#.##...#.....#..#..##..##.####..#.#..#.#.#...######...##.....##...#..#...##.###.#..##.###....##...#.##....##.##.##.....##.######.##.##..###..####....###.#.#...#...####.###..#.#...######.####.#.##.##...#..####.##.#.#....##.###..##...###...#.##..####.#.#...#..#..#.###
##.##.#.#.#...##.#.#...#..#...##.######.#.##.###.#....#########..#.##...#.#..##....#.#..###.#..#...#.#.#.#.##.....#..###.#...#.######.####..##...#.......###...##.#####.###......#..######.#.####.#.#..##..####..#.##...#.##.##..##.#.#.##.##......#.##..#####..####.##...##..##.##.##.#..##..#.#.#####...##...#..#.....#####.#...#.....####..#.##..#.#...###.##.#..#####.....##.#.####.........#..#.#.#.#.#.##.#..##...#.#...#....###.#.########.###..######..#...#.###..###....#.#.#...#......#..#..####.#...#....
#.#.##..#.#.#.#######.###...#.###..#.##.#.#.#.#..##.####.......#..##..##.#..#.##.###.#.####..###.#..#...#...##.##.#...####.#.##......##.#..###..#.#.#...#.#.....##..#.#.#.##.#...#.#.##...#......##.#..######..#.###.#.#..###.##.#.####.##.#.####...##.#...#####.##..#.##.#.#...#.#.......#.####.....##...#.##.##.#.#.#..#.#...#..#.###............###..##...#.....#.#..#.#.#.###.##....#.#.###..##..#.##...#.##.##.##..##.#.#..##.#####..#..########.#..#..##.####.#.#.#.##.....#....#.#.###....#.#....###.###....#
###...##..##.#....#####.#.........##.#..##.##...#..#.##....#...##...######.#.#.#..#.#..#.##....#.##...####..##.##.#......#.#.####.#.#..######.##..##.#####.#..#..#.........##########.#....#..#..#.##....##...#####....##..##..###.###..#####.##.##.##..###.#.##.#..##....#.#####..#####.#....##.....###.#.#.##.#.##.##..#.##.##.#..#...##.######.##....##...##.#..#..#.##....#.#.####.##....####..##..####.#.###...#.###.#..#.#.###.###...#..#..###..#.####....##.#.##...##.#.#...#...##.#...##..#.#..#..#..##..##.
.##.....#.#.##...####....##....####.#.#########..#..#.#..####...#..##.###......##.##.#..#..#.#..#.#.###............#.##....##..#.##...#...#.#..####..#...###...##.###.##..###...#.##.####.####.#.#..#.#..#....#.####..#.###..#...#..####..######.#....##....##.#####..##.#.#....#.#.#..#####..#.###....##.##...#..#.##.##.#..#.###.##.##.#.##.####.##..###.#.####..#......#...#.#.#.#.#.#.#.#..##.#..##....###.#.#..#.#..#.#.##.#...#....#.#...##.##.#...#.##.##..#.##..###..##..#..#.##...#.#######.###.#....##.#..
.##..#....#..#####.#..##....#...#.###.#..###.##.#.###.#####..##...#.##...##..#..##.#.##.#..#.#.#.##.#.#####.##.##.##..#...#.##.....#.###..###.....#.#.####.####.##.#.#......#.##.......#.#..#....#...#...##.##.#....####......#.#.....###....##.##.##..##..#.##.##...#.##.##.....#...#.....#..#.....#..#..#######..#.###.#..####..#####..##..#.###.###.##.####...####......#.#..##..##.###.###..#.#..##.####.##...##......###.##..##.####...##.....#.#..#.#......#.#..#.#.....###.#..#...#..#.####.#..##..###...#.##
##.#.##...##...###...#..#.#.#.#.##.....##......########.#..###.#.....###..######..#....####..#.#.##..#.###.#.###.##.##.##...##.#..##.##.##.#...#####..#.#.####.#..#.#####.##..#.##....#.....#.......##..#.#.....##.#####..#..#####.#...###.#.##..#...##.#.#.#..#...#.####.###......#.####.####..###...#######.####..###.#.#..#.##....###.#..#.....#.#.....#.##.#.#...#####...#...........#.######.##....####.###.##....####..#..####.###.#...#.###....#....##.......####.#.#.###.##.#.####.#.####.##..##.#.#...###.#
.##.#.##.####.#..##..#.#..##.#.##.###...##...##....##..##..##..##.#...##.##.##.##.#.#.##.########.##.#.#####.#.#.....#..###.....##.#.#.#.#####.##.##...##.##....#.#..#.....##.#...##....#.....#.##.#...#..##.#########..####.####.#....##..#..##...#.##..#####.#.#...#.#....######..###..####..##.##..###.####..###.#..#..##.##.##...#.....#.#...##.#...##..#...#####..####.#..#.#.##.##.###.#.###.#.....###.##.#....###.####....###.#..##.....##......####.#..#...#.#######.##.#....##.###...###.#.#.#.#.#...#.##.#
#.....####.#.#.#..#.#.#...##..#.#.#..#.#####.###..#...#.......###.#...#.#..##.##.###..###.##.#.#..#....#..#..#..###.#.#.##....###.....#..#...#..####.#..#####..#....##.#...#.#####.###.....#.....###....#.#..#..#..##....##..#.#....##...#..###..###..#.##.##..#.##.....#.####..#.##.#..#.#.#..#..#....#.##.#..##.###..#.#.##.##.##.#..........####..#.##.#..#...#..#...###.#.#.#..##.###.##.##.###..#.#.....#.#.##........#.....##.#.#..###.##.#..###.#.#....#........#..#...#..#.##..#.#..#..##...#..##.#..###.#..
.####.#.#....###.##..#..###.#.#..##......####....#.#.####..#..#.###..##.####.##...#.##....###.#.#..#..#.###....####....#.#..#.##.###...###.#.......###.##....#.#..#..#..#..#......#....####..#...##.####.####....###..##...####....##..#.#....#..#..#####....##.#...######.#..##.#..#.#.#...#.#.....#.#.#...###.#...#.##..#.#.####...#.#........##..###.##...####.##.#.###.##.###.###..##...####..#.#..#.#....#.#...###.#..#.#..##..##..###....##.#.##.#...#.#..#.##.#.#.#..#.#####.##.##....###.#.####...#.#..###..
.##.......#.#.##.#..#.#........####...##..##.#.##..###.#.#.##..#.##..##.#.#.##.#..#.###.######.##.#.....##.#.#...#...#..###.#.#..##.#.#.####..#.###.#.#####.###.#.#.#######..##..#...#....#..##...#.###.##.###..#....#.#....#.#.#.##......##...##...##..##.#...#...#.#..#.####..#...#......#....##..#...###...###.......###....##..##...########.#..##...#....##.#...#.#...#.....#..###...#.########.#.#..#.##...#.###.....###.##.#..##...##..#..#.###.####.......#..##.#..##..#.###..#.....###.##...##...#.#.#..##.
.#####...##.#.#....#.##.###..#..##..####.#...#....##.#....#...###...#.#..####...####..#...###..##..#...##..##.########..####..#.#.##.#.#.#.....###..###.....#.#..##.##..####.######..##..#..#.###..##..####...#...#.####.....##.###.###....#####.###.........#.#..##.#..#.##.#..#..###..#..##..#...#..#####.....##..#.......###...###..##..#.#.####.#.#.##.#####....#.##.#.#.###..#####.######..####.....#.....###..#.###..##.##.##....##..#.##...#.##.#...#.######..#..#.##.########....####.##.##.##.###..##......
..###.#...##..#...###.####.###.#.###..#.##....#..##.....##.####.####..#..#...#.#.##.....###..#..#.#...##.#.##..#....##.###.###.#.########.##.##..##.#..###..#..#######...#..#.#..##......###.##.#...##....#...##..#.#####.....##.....#..#..#####.###.#..#.###.......#...#.#.####.###...#.#..######.#.###.#.###.........#.#.....###....#.#.###.#.##.#######.....#.#..##..##.#.#.....#.###.##.###.....##.##.#.#.#.#.##..#.#..#.####.#..#.#....##....########..##.##.....###..###.#.###.......#.##.#....#.#.#.#......#.
..##...#...#.....#####...#..#.##.##.##..##.#.##.##...####..#####..####.#.##..#..#.###......######....#....###..##.##...#..#...#.####.#....#.##.######.##..##.#.#.#.#..###..#..##.#..#.#####..#.##.#...##.##.##.##.....#..#.##..##..#..##.#..##..#.......#.#......##...###.#...####..###.#...##..##...#...##.##.#..#..##...#..##.##....#...##..#....#.##.##..#...##..#.##.##.#.##..#....##.#.#.#.#.#.###...#.#####.#.##....##..##.###.#..#.#..#.....#..##...#.###...###......##..#.##.###..#######..###....#..#..#..#
.##.#.##.#..#.##....#......#..####.###.#####..##.####..####..#.##.#.###..#.#.####.#.#..#..#.#..#......##...#.###...##.#....#.##.#...#.##..#######....##..#.##..##.#.#.##..#####.###.#..###.###..##.#.#.####.#.##..###..#....##.###.#.#.#..#.#########.#.###...#...##.#..######.#...#..####.####...####.#...##....#.###...#.#..###...#..#####.#...####..#.......#...#.####.###.#.#...###.#######..######.##..###...#.#.##..#..#...##..##..###........#.#.#.#.##.#.###..##.....#.#.##.#.##.##.#.####..#####..#..##.#.#
##.#.#.....#.#..####.#...#..#...#.##....#...#.....####.#.#.....#.#.#...#.####.#.......##.#..##..#....##..##..##..#######.#.#..###.##.###.###.#.#.....#..##.######.###..##.#####...##...##.#...#####..###.....#....##..#.####..#...#.........###.##.#.####.##.##.#.######....#......#..#.#.##.#..#.######.#..####..##......#.##.#..#...##.......#......#.##..##..#####.####...#.#####..#...#.#...##..##.....#.....#.#.#####..#.#..##.#..#..###.#.###......#.##.#..#.#......#..##.###.##.#..####..#.####....#.......#.
..##.....#.###....###.#.####..#.#..#.###...#.##.##.#..#...#..##....##.#...####.#.####....#...###.###.###.#.##.####..#...##.#.#.##..##.####..#.#.##.#..##.##.#.##...#...##.....#...####.##.#..#.#..###..#.####..#.#..##.#....#.#.###..###....##.#.#.....####.##.#...#.....#....###...######...#..##.#.#..##.###.##..#..##.#..#.###....####...#.####.##.#.###.#.##.#######.......#####.....#####.......#.##..#.......###..####.#.#.##...#...#####.##.##..##.######..##.##.###..#######.#..#.#..#..##.#..#....##.##..#.
##....###..#.##.#.##...##.###.....##..##..#.###########...#..##.#.###..##.....##.##..#.#.##..###..##.####.##..###.#.##...#..#...#..##.#.#####....#.#.#...#..###.......##.##.#..###.#.###.##.###..#..#.##.....#.####.#.##....#.#.###..#.##.#.#.#..#..##..#...###..##..#####.##.###.##.#####.######....#...#...#..##.###.##.#..#.#.#.#.###.#...###..#######.##.###.####.#.#.##..#.##.######...##.##.##..#.##....#.##.#..######..#.##...###..#.#####.#.##.#.#.#.##.#...##......#...#.##..#.##....#..#.#.##..####...####
####...#..####..##...#.#.#.#..#..#..#.#..#..#....#..##..########.####..##.###.#.##.##...#####..####......####..#...#.##...##...#....####.###..#..##.#........#.#...#.#.###..##.#####.###...##.....#.#....##.#.###.....#..##..#####.#.#.####.###..#..##..####..##..####.####.##########.#.#...####.#..##....#..##...##.##.##.###..##.....#.###.##...#...#..##...####.#..#....##...#..#####..#..#.#.#.###.#..###.#..##.##.#.#.#..###....##.##.#.##......###..#..#.#..#..##.#......#.#.##.#..####..##...#..####..###...
###.#..##.##...#.#...###.#..###.#..####...#..#....#.##.#.#.#.##.#.##.##...#..###..#..#.##...#####..###..#....#.#.##..#.##...##.###...#.##.#####.####..#.###.######..#..###.#.#...############...#..#...#...#####..#...##.#.#.####..#...##.#######...#.#.#....#..##..###.##...#.#..###....#..#..#......##....#.#.#........#....###.#.##.....####.##...####.##.#.##.....#.##.#.#..##.#.#.#....###.##..#.#.....######.#......###.#....#.##.##....#.##.####.####.##.####.#.##.#.#.##...##.#.###..##..#.##...###.#######.
...#####..###.#..#####...#...##.##.#...#.##.##...#..#...##......#..##.#..#..###..#..#.....##.###.##.####.##.##.....##..######.######....###..#...#.###.###...#..###.#####.##...##.###.#.#####..##.######.#...###.#.....##.#.#######.#..#.#..###...#.....#.###...#.#.#.#.##.#..##..####.#.#.#.##.#.##..#.###..###...#.##.....#..#....#######.####.##.#.#####.##.#....#####..#.#....#.#..#..#....##....###..##....#...#.#..#.#####...#.#..........#.#.####..#...#..###.........#.#.#.#..##...#...#.#.#..##...#...#####
..#..###..#...#.##..#...#.#..####.#.###.####.#######.#......##.........#.#.#.####...##.#.##.#####.#..#....#..##...###....##..#.##.....###..##..####..#.##......####..##.#.##...#.....#.###...#.##.#.##..###.#..##.#.#..#.#..#.#...#.####.#.##...#..##..##...#.....#.####..#.#......#.####.##..###...#.##.#########.#..####...###..#..##..###...###..###.##.####.#.#####..##.#...#.#.####....#...#.#.....####.#..#...#...#.#..#..##.##.###...#....#.###.####.###.#..###.#.#...#.###.#.##...######..###...#.#.#...#.##
##..#.#..#.###.##.#....#..#..###.###.##..#.####..##...##.....###..#..##.##.#.#.#.#.##..#....####..##.#.#..#..#######..##..###...#.......###.#....#####..#..#...##..#....##.##..##........##....#.###...##....#...#.##..##..##.#.#.#.####...##.###....#.###..#..#######..#..#..####.###....#####.##....##.###....####.#..##..#..##..##....#.#.#.##..##.####..####..##.#.#.#..###.#..#....#..##.##.######..#####.##.###..##.#.#.####..#.####...#..#..#.######.#.###......#..#...##.####.####.##..##.#####..##....##...
#....#....####.#..#####.###.##..##.##.#.....#..#.##..#.##.##.##....#####.#..##....#.####...#####.##.......#.#.#########.##..#.#.#.###.#.#.##.##.##.##.#.###.#.###...##.....#..##..##..###...###.#..#....###....#.#.####.....#....#..#..##.#..###...##..#.##..#..##...##..#.##...###.###......##.###.##.##.#.####.#.#.####..#..######.#.#...#.#..####.#.##.###...#....#..#.#..##..##.#####.#.##.####.##...##.#.##....##..####....#.###.####...####...#.###......#.#..####.######..###.#.....##.#...##..##..#..#.#..#.
...##.#....##..####.#...#..#...#...#.##.#.#.##.#######..##.#..#.#####..#.#..##.#.#.#...##.#..#.#.##....##.#####.#.#.###.####..###.#.#.#.#######.##.##.#.....#.##....#.#...##.#.#........###.###.##.#.#....#.#.#####.#...#..#..#..#.##..##.#..#.....#.....###.####.####.#.####...#..####..###...#.####.##..##.#.##..#.....#.#########..###.###....##.##.#.#....#.##.######.#.###...##.##.#..####...####..#.#....##.#.##.####.######.#.#.......#...#.##..#..###.#.######...##.#.##.####.##.....##..#...#####.###...#.#
..###...##...#.##########.######..##.###.#.#####.###.##.##...##.#.#...##.#...#..#######.#...#..######..#########.#..##..#.#...##..#######.####....#......#...###.####...######..#..#...#.#.#.#.#...#.#.######.#.#.#####...######.###.##...##.#..#...#.##.#.#.##.#.#...#.###....######.#.##..#.#.####...##..##......#####.###.#.######.#......#..##.#.##....#.#.####..###..####.###.###.###.##..#..###.#...####....#....#.####.#....#..#.#.#....###.###.#.#.......#....##.....#.#..##....###...#.#.##.######.##...###
##..#..####.#.##.#####...#.######...#..##.###.#..###....#.#...#..##...#...##..#...##..#######....#.###.#..#..#..##...#...####.##.##..##..#..#.#########.##..#...####.####..#...#.#.#...........##.#.#..#..##.####...#....#....#.#.#..#...####.#...#....#.#.###...##.#..#..#.#.##...#.#...##.#..##.###.##.##.#.##.#....##...#.#..#.###.##.#.####..##.##........###.#..#.#.#...#..#..#########.#.#.##...#..#.##.###..#....#####..#...###...#.####..##.######.##.#...##...#######.#.#.####...#.#...#..##......##.####..
#..##..#......#.##...##.#...#.####.###.#.#.##..#.###......##..##.#.#.#..#.###...##..###..#...##..#..#.###.#.#.#.#####.####...###...##....##.##.#.####...######..#####.#..###.#......#..##...#..#..##..#####..###.####.###..#...##.###..#..##....#.###..#.###..#.#......#..#.#.#.###...#....#.#.###..#...###.#.#...#####.....######.#.##..##.####....###.##.##....#...#.##......##...#####.#.#.#.#....#..#..#...#######....##.#.#.#.#.##.##...#.#.#####....#.#..#.#.#.#.##..##..###.#...##.##...#..##..#.###..#.....#
..#..##..#.##..####....#.###..###..#....##..##.#.##..##....#...##...##.###..######......#.#...###.#.#..##.....#..####.#.#..#....##.##.######..###..#..##..#.#.#..#..###.####..#..###.##.#.##.###...#..##.#.###....#.#..#...#.#..####.#..###...##....#..#.#...##.###.#....##.#..#..#########..#.####..#.###....####.###.......####..###.##.#####...#.##.#..#.##.#..#..###..###.......##..#.#..#..#...#.##..#########...###...#...#.#..#.##.#...#.....#....##...###..##..##.####.#.#.##..#.##..#######.#.#..#...#.##.#
#.....##...#.#.#.#...#..#..##..#.##.#.#.#.##..#.###....##..####.#.#...###..##..#.#.###...#.#####.###.#......#.####...#.#.##..##..#.##.....##...#####.########.##....#.##.###...###.#..#.....##.#.#.####.#.#.#.#.##.#..#...##.#.####.#.#....#..#..#.#..##.##.##.###.###..#....#.#.#....#.#.##....#.....###.#..#.#..###..##..#.##..#.##...##..##..#...####.####.####.##.#.....#.##.....##...###.##.###.#..#.#....##..#.#.#####..####.##.###.###.....#.##.#...#..#...#.##.####..##.##..#.#.#.##...##...#....#####...#.#
#########..####..#...##...#..#...##...####...#..##.##.##..##..##.###..#.....###..#.##.#.##.#...#.##.##.##..#..#...#.###...#.##..##..##.#...#.#.#....##.##.##.##.....#..#...#....#.#.#...#.##.###...#####.##.##.#.##.####.....###.###########..####..#####.....#####.##.####.#.###.####..#.#.###..###..####.######.#..##.###..#.#.#..##..##.#.#.#.###.#....##.#.######.....####..#....##.#..#..##..#.....##.#.#.##......###.##..#.##.#.#####.##..#.#..#..#..#.####..#.###.#..##.#..#.##.#...######....#..#.#.###...##
#.....#.....##.##.###...#.#.#.#...##.####.###.####..#..##.#.#.##...#..##..#.##.####......##.#.#.#####.#..######..###.##....#.#.###..#.....#..#...#...#.####..##..........#......###.#.#.##.##.#...#.#####....###.#.#..##....###..#..##....#.#........#.#..##..##.#...........#..##..#..#.##...###..#.....##..###..#.#.#.....#.#...##.####.###..##.....###..#..###..##..#..#.##.####.#..###...##.#.#.###.#.##.....#.......#...##.#####.###.###....##..####.#........#..#..#...####...#..#.#.##....#.#....##...##..##.
......#......##..#...###.###....#...####..#.#####..##.####....#....#..#....#.###.#...#######....#..#.#.....#...###...###.###.....##..#..##.#.##.####.....#..#...#...####.#...#.#...#..#.##...##.##.##.###.#.#...#.#.##..##.#.....#.#####.##.....##..###..#.##.#........#..###..#.#.#....###..####..#.#..#.########..#.#..#.......#...##.#.#.#.#..##.##.#.###.###.#.#.#..#.###.....#..#.#...###....#..#..##..#.##.##.####.#####......###......##.#.#..#.#..#.........#.....#..##....#.....#..##.....#.##.#.#..#.#####
.#.#.####..###.......##.......##..##........#..####.#......#.####.#.#.##.#.######..##...##...##...#.#.#.###.......#...###.#..#..##.##.##...###..##.#...#..####..##.###..##...#.##.##.#..###.##.#####.####.......##...##.#....#.#.###..##....##.#.###.#..#..#..##.#..##.#..##.....##.#.##.##.##.....##..#######....#...##.#.#...##.#.#..#.####.###....#..#.##.##..###.###.#.###..#.#..##.#....##.....#.#....###.......#..#.#..#.######.##.#...#.##.#.##########.#.#..#.###.#.....##..##..##..#...##..#..#..##..#.###.
##.#.####.######.###..##.##..##....#.####.#.......##....#####....##..#.#..#.#.######....##..#.##.###...##.###.#....####...###...##.###.#.###..##.#.##.##..###.#.##...#.#######.##.#.#.#.#.#..##.##.#....#####.#.##.######..#..##..######..#.#..####...#####..#.###.##.#....#.##..##..##.#.......##..#.##....#.#..###.....#....#...###...##....#....#.##.#..##.......##....#####.#..###..##.#..##.##...#.###.###.###.#...#.#.#.##.##...##..#.####....#.########.#..#.#..#......###.#..#####..#..#.###...##..#..#.#..#
#.###.#.......#....#####.#.###..#..#.#.#.#.##..#.######...#.#......###.#.####.#.##.#####.##.####..#...###.#..#.#.###..#.###.#.###.#........#...###..###.#..#..##.#####...#.###.######.#..#.#.#.#.#.....##...######.#.#.##.##..#...#...#########..##########....###...###.#.#.##.###..#.##..####.###..#..#.##.#.##..#.##.##.......#.####...#...####.#.#....###...#....#.###...##..##..##....#...#####.##.....####..###..#.#..#.#.#..#..##.##.#.##..#.#.#.#...#####..###.#.#.....#...#.###.###....#.###.##.#.##.#.#.##
#..##########.##.##.#.#..##.##.#...#.#..##.#.#...#.#.##.#.##.#.###.#...#.#######...###..#....####..####..#...######..#..#.#..#...###..#..##.........##.#....#.#......##.###.#..####...#.###.#...###.#.#.##.######..#.##....###.###..#..#....###...#..#...#.#....####.###.##...#.##.#####.#.##......###..............#.....#...#.####..##.##..#...###.#.####..#....###..##.######...#..##.#..#.#.##.....##..#.#.#...##.#.#.##......##.#..#...#####..#.###...#..###...###.#...#.####.###.#..####.#.#...#.######....#.#
##.#...#.#...###..#.#.##....##.###.##.#.#....#.#.#.######.#..#..#.###.##..#.#####..###.#.###..##.#...#..#.#.#####..#....#.#...#.###.####..#######.#..#.#.#.###.....###..#.#.#.##..#....#.#..#.###.#..##.#...#..#.#.#...#....###.###.######......###...#....#..##......##......#####.###..#..##....#..#####.###..#.#..#......#..#....#...#.#####.....#.#########.#.#.########.##.#.#.#.#######.##.#..#.##.#...#...####...###..###.#...#####.#.##.......#.#.....#...#.#....##..#.#...##.#....###..###.#..##.##.##..#..
..#.##..###..##.#..#...#.####...#..#.####.####.######.##.####.#...#...##.#..#..#.####.#.#####....#.###.....#.....#.....#..#.#.###.###.######...##.#.#...##...#..#...#.#.###.#.#......##...#..##....##.##.##....##.#..#.#.#..#....##..#.###.#.#....#..##....#...##.#.##.###...#.##..####.##.#..#..#..###.#...###..#.#......##.#....#####.##....###....####.....#.##..#.#.####.##.#..###.#.#..######.##..###..####....##..#.####...#...#.#####.####.#...#..#...#.#....##.#.#.#...#.####.#...##...##.###..#.####....###
#...#.#######.#####.##..##...##.#..##..####..##..#.##...#####.#.#....####.####.###...##..###....##.####.#.#....##..###.#..#####...##..##..#..####.#.#.......#..####.#####....#..#..#.....#.##.#..##..#.....####...##..##.#..###.###.#..#.#.#.#.#####..#.#.#.##..#..###.#...#.#.#####.#.##..##....#.....#.#.###.#.#.#...#...#.#...#.#.#.#.#...#....##..#..#######......#..##.##.###.#...#####..#..#.###..##....#...#####.#...#..#####.##....#####.##.##........##...#..##...#####.##...#.###.....##.##.#..#..##...###
..###.#.##.###.##.#.###.#..######.#.......#.#.#.#.##.######..####.##.#..##..#..###..###...#.##.##...#.###..#.#......#####...#####..###.#.##...####.##......#...#.#.#..#.#.#.##.#..##.....#.#.....#.#..#..#...#.##...##..###.##.....#..#.#...##...####.###....#.##.#.#.##.#.#.#...#..##.####.##.##.##.#.##....##.#.##..###.##...#...#..#.###.#.##..#.#.##..#.#.....#.####..#.####.##..###...#.##.#.#.#.....###...#..#.#####.#.#.##..#..#...###..#######...##....##........#.#....##...###..####.##.##....###.######.#
.....#.#.####..#..#..#..###.########..#..########...#.##.#...###....#.##..######.#.#.#...###..#.#####....##.#.##..#...#.#.#.#.#.#..#.##..#....#.#...##..#.#.#.##.#..####.#.##.#.###..#....#####...####.....###..##..#.#.##.######..#####..###.#....#...###.#.....####.#.#..#.#...##.####.##.##.#.#....######....#.###...#####.#..###..#..#.#..###.####.#.##.##..##.#.#.#.....###.#..###.###.##.##.##.######.#######.#....#.#....#..#...##.#.####.##.#.#.##.###.#.#....###...#.##.....####.#....#.#...##..#####...###
.#....#.###.....#....#########...#.##........##..##....#.##.####..#.##..#..#...#..###.#..#.....#...#.##..###...#.###.#.##....#....#..#.######.#.#.####.#..###.#..##..#...#..#..#.##..#...#..#..####........##...#.#.###...###..#.###.###..###..#.###.#.##.#..##.#.#.#.#####....#####....###..#.#..#.#####.#.#.###.##.#.#..###.....#.##.###.###...#..##..#....#...######.####.####..#####.#...##....#.#.#..#####.#.##.#...###.#.##..###.##...#####.#.#.##...#.##.#..#..#..##..###.#.###...#..#..###..#...##....#..#.#
#....##.#.##.#.###.#..####....###.#.....##..#...####.##.#.##...#..######.##.####.#...#...##..##...#...###..#.#####..#.#.#....#....##.##..##..#..#..#.######.##....#..#.#......##..######.##.##.##.##...####.##...#.###..#.###...##..#.##..##.####.#......#######.####......##..#..#...#....#####..#.#..#....#......#.#..#...#.####.##.#.##.####.#.####.......####...###.#......#.##.....#.####..#.#######..#.##.##..###.#.#####.####.#..#.###.#.#.#.##.....##..##..##.#.##.####..####..###.##.#...###.....######..##
.##...#.....#..##.##.#.#.###.#..#...###..####.##.#..####.##.##...###.##...#.#.#..#...##..##.....######...#..#.#..##....#.#.##.#.##.#..#.....#....###..#.........####.#..##..#.#.#.#.#####..###.#.##########...#.#..##....###..#.#.########.#.#....#######...###.#####..##.##.#.###.#.#...#...#..#..###..#####....#..##......#.#..#.#...####...###..#.......#.#.#....#########...####..#.#.#..#.##....###..#.#.##.#.##.#..##...######.#..#..###.#....#..######....#...##.#.#..##.###.....#..##.####..##.##......#..##
..####....#.#.##..##.##..#.#...##.#...##.##.###.##.##.#.#...##.#...#.#..#.######.##.#.###...#.###..##..##..##...#.#....#.#.##..#.#..##..#.##.....##.....#..##...##..#..#...##.#.#..#.#.#.##.##.#..#.##.#......###.....#.#.#######.##.##..#.##..#...#.#.##.#...##.##.#..#.#.#.#.......#..##..#####.#..#..######.#...#.######..#.#....#..##..####....##.##.######..#...###..#......##......##..#....#####....#.#####.#..#...##.#...###.#.###...###.#.#.#..#.####.######...#.##.#.#...##.#...#.......#...#####.#.#.#.##
..#..#.#...###..#..#.#.#.##..#..#.#..##.#...#.#..###.#..###...#....###.......#.##.########..###.#.#..#.###....#.###........#..##..###..#..##..#.#.#.#.#.#..##.##..#..##.#..####......##.#...#.##.#..###.#....##.#.#...#...#...###.#..#####..####.###..###......#..####..##.##......#####.##.#.###..#..#.....###....##..####.##.##..#.##.####.###..#####.#...#.##...........##########...#..####..#...#....#.#..#.###...###.##..#.#.##.#....##.#.###....##.#.#..#.#..##.####.##..###..##########.##.#...#..#...###..#
##..##..#.#.#...#...##.#.############.##....#..##..###..#..####.#.#.###..#.....#..##########.....##....##..##...####.#..#...##.#.####.#..#..####...#...#...#.#.######..#.##.#...#..#...#........##.#.....#...##...#.#..........#..#.##.....#..#.##..#..####......##.###..######.###.####..#.##..#...#.##...##.##..#.#..###..####.###.#..#.#.###.##....#..#.##.#.##..#.#.....#..###..#..#.........#...#...###..##..#...###..######.....#.#..#..#.#...#.##....###..##..###..##..#.#..##.###.#..#.#..#...###.#.#.##.#..
##...#####.#.####.##...#.#.####.#####.####.#.##.#.....##..#....###..#...##.####..#.#..#.##..##...#.##.#.#.#.#.###..#.###.##...#.#....#.###.#.......#.######...##........#..##....####.#.#.#..####.####.#.#...##.#.#.#...#..##...#..#.###...####..#.#.###..####.....#.###...#..###....###.........#.....###.#..#####...#..##.#..####..#..#.#....#.###.##...#.####.#.#..##....##.###..#...##...#.#.....#.....#.###.###.#.#.##..###...#..###...#.###...###.........#.#.#..##..#....#.#######.....#..##.##.##.####....#.
#.##.#.#..#.#.##.#.##....##.#.......###.#.#.##.#..#..#.##...#########..#..#..##.#..##....#..####....####.###...###..#.#.#...#.....#..#.###..#.###.#.#..#.###..#.##..####...#..#.#.########..#...#.###..#......#.###...#...###.......#.###.....####..#.#..#.###.###.#..#..###..###.#....##.##.#####..#..#.###..#####...#.#.#....###.#.########.####....#.##.#...#.####..#.#...##....#..##.##...##...#.............#...#.###.##.#.#..##....##.#.##...#..#.#..#.##...#..##.##...###.##.#...#.#.##..###.#..#..##......#.
.##.....#.##.###..##.#..#..#.#....#..#.####.##..#.#....###.....##########..###..#....#.##.##.##.###....#......###.##...#...#..##.##......####..###....###..#.#.#...##..###.###..#....##.###..###.......#.#...#.####.##.########....#.#..#..##.#.###....##..#.##.###.#...#..##..#.#.#.#..#..#..#..##.######.#..#####.#.#...##.#...##...#...#.#####....#..#....#####.##..#..#.####.####.#..#.##..#..###..##.###.....##.####..#.##.#.....##...#.##...####..#..####.#......###.###.##...#.#....##....#....##.#####.#..##
###.###..###..#..##...#.#.#.###.#.###......#######.######..###.##.####.##.###.##.####.#..#.#....###.#..#...#.#.#..#..#.#.#...###..#....#.#..##..#..#..#..#.........#..#..#.##....#....##.#......#######..#....#.##..####....#...#.#.#.###...###.##..#####.#...#.##.###.#######.#...#.#.....#..###.#...#.....#..#..##.###.##..##.#..###..###.#....#.#.#.#.#####....##....#.#..##.####..#....##.###..#.##.#..#.####..#.#####.##.###.#.####.#.#.####..#####.#.######..#.##...#..##.###..####.##.#.##.#.##.#....#.##.###
###.#..##.....##.#.##.###..###...###..#.#.#....#.##..#...##..#.#######..##.##.###.##..##.#.......##.....#.#####...####.#..#.#..####.#.###...#.####....##.#..######.#.###########.###.##.###.###..###..####.##.##.#.##......#.#.#..####.#..##########..#....#.#....#..###..#.....##..#.#..###....##.......#.#..#.#.#...#.##.....#..#..#####..###.##....##.######.##..#..#####....#.....#.#..##.###...#.##.###.####..###.#.#...#...#..#..#..##...#.#########...#.##..##...#..###.##.###....#.#...##..#.###.#####..#..#
#.#.##.#..#..#..##.#..#.#.#.###.#....#..#...####....#..##....#.#...#.#.#..#.##..###..#..#..#.###.....##...##...###..###...#...####.#...#..#...#.######..########...###..##......##..#..#####.#.##..#..##..##..#..#.##.....#.##..#...#.###...##.###...#.#.....#...#####.##.#.#...#.#..###.#.#..#.##...##..####.#.#...##.#.#..##..#.#...#.##.##.##..#.####...###.#....##....#..##..##.####....#...#.#.#...#.####...#..##..###.#....#.#...#..####..###....##...##.###....#.##.#...#..#.####.#.#..##...###....#######..#
..#####....####..#.##.#.#...##...######.....###.#..#...#..####.......##.#...#.#...##..#.#...##.#..##.#...##.#.#...#.##..#.#..#....#....#.#..##.#.#..#...#.#..####.##.#.###.##.##.#.###.#.#.#...#.###........##########..##...##.....##..#....#.##.#.#..######.###.#.#..#..#.###.#...##...#...#..##..####.#.##.....#.###...#..#.#...###..#.##.######.####..##..###.##.##.##...####.#####...#.##..#######.#..#..#..#...#.#.##..##...#...#.##.####.#...#.###.##.###..##.#..###.#.#..#.#.....###....##..#####.####.##..#
.#.#...#.#.#.#.#.##.####.##.##..#.##.##..##..###.#....#......##.#..##..#.#...#.#...###.#.#.###.#.#.#.#.#.#...#...###..#.####.#...#.####.##.######.#...#...##.....###..##.#...#.#...###.#.....#######...##.##..#...##...#.#.###.#....#..###....#.#.#.#####...#.....#......#.##..####...#..#..####.###.##.##.##.#...#...###........##..####.######...#.#####.#..####.#.#.#.#.#....##.#.#..###.....###.#######.....##..###.##.###..#..#.#....#.###.#......#####.#.##.###..##.##........#.###.#...#..##.......##.##..###
...#..###.##.#....#####...##.#...####..###.######.#..#...##..#....#..#.#.##.#...####.#.#...##....####.#.#####..##.##.#..#..#.#.######.#.###...#.###.#......#.........#.########.##.#.####.###...###..##..##...##.#.......###....#.#.##.##.##..#...#.##..#.####.##.###.#...#.##...#.#....#...#..#.#.#...##.#........#####..##..###..###...####.###..#..##.##..##.#.#####.#.##.#.#.........#.....#..#.#.###...#.....####..##..###.#.###..#..##...#.#..#...##..#..##.#..#...#.....##.#.#..#.##..#.##..####.#.######.###
..#....###..#....#..####..#.##.##..###..##.##..##.##..##.#..#####..###.###.#..##...######....#.....######..#...##.#######..##...##..#..##.#..#.#...#.#.##...##.#...##....#.#...#.#.#.#.#.##.#.##..#.....#..######.#..##...#....##..###.###.##..##.....#.###.##.#....#....#.#.##..#.##.##...##..##.##....#.##.#.#..#.#.#.#...###..##....###.#.#.##..#..#.#.##..###.##....##.#.#.##.###.########..#...#.#.###.#...#####.#..#####..#.###.####.#.#.#.#.#.#.#..#.###..###..####..###.......##..#.######...##..#....#####.
#..#..##.##..#..##.##...####..#.####...##.#....##..#...###...####.#.#...#.#..#...####......#...#.#.##...#.###..##.#.##..##.#..#.####.#..#...#....##.#####.......##..######.###....#..######..#..#.##.#####....#.####..#.###.#...##.###.#.##.#.#######.#...##...####.#..#.#####.##..#..##.###....#..#####.#.##.#####.#..##..##.#.###....#..#.##....#.#.#.#####..##.###..#.###.####..##........#..###..........####.#...#....####.#..#..##.....##..##..#.##....##.######..#.#######...##.########...#.##..#....#.#..#.
.#...#.###.##########..######.##.###.#.#....####.....###....#####.....#.#####..#.#.####.#.####.####.####.##.####.###.####...#..##..####..#####....#...#####.##.##..##.####.#....#.#.#....##...##.###...##..#.##..#.###...###...###..###.###.....##.####....###.###.###..#.#.##.#..#..###.#......#.#.##.#########.#.##.########.####.....#.#.#.#...###.##.####...##.#.##.####.##.......#.#.##....##..#.#######..#.####.###.#.#..#.....#..###.####.#.#..#.#..##....####..####.#..##...##.##..#.######.#........#....##
....#..###.##.###....##....##.#..##...#..####..#.####...##.#.#....#.#.###.#.#.##########....###......#.....#.#....##...#..##..##.#.#.....#.###...##.##.##..#....#.###.#.#.###.....###.#......##..##.#..#...#..#...#....##....#.##.####.....#..#...####.#..##..###....#..#.#.#......#.##......#..#.#.#####..#..#...#.#.####.####..#.##.##.###.#.####.#.#....#####...#######.###.###.#....#.######..###...######....#.##....###..##.###.##..#.####...#..#.#..###.######.#.....#..#####.#.#.#.###.##..#..#.#..#.##...##
.##..#...##.#####.....#.#.###.#..#.#.##.#....###..........###.#......#...##..###.###.#..#.#..#..#..#..#########.#..##...###....#.#...###...##.#.##.#.#.##.##....#####..#.###..#.###.#.###.#.#...#.#.#...#.#.......#....##.#.#.###..#...#...........#..##.#..#....#.#..###...#..#.#.#.###.#....#..#..#.#.#...#..###..#####..#.###.......#.##.###.....#.#.#.#...##.##.#.#.###..##.#.......#...##.#.....#####....#.....#..#.#.###.#..##.###.#.....##...##.##...##.#.#.#...#.##.#...#####.#..#...#..##.##....#########..
###....#.####.##..##..#..#.....#.#.##...##.##.#.#.####.#..##.##.##...##..####.##.####.#.#.####.##..########.#...##..#.#.#####...#########..#.#.#.######....##.#..###..#.####..#.#.####........#.##.##..###...#.#.######.##....##.##.#.#.#...####.#....##.#####.##.#.#..##.##...#..#..#..#.##....###..#.#..#####.#.##....##.##..##.##...###.#.##...##...##.#.###.##.####.##..#..#..####....#..##.#.#.....#...#..#..#..######..###.#.##.#..##.#....###....#..#..#.#.#...##..#.#....##.##.##.#...###...#####..##...#.#.
..##...##..##.#.#.....#.#.#.#.####...###....#..#.###.#.####..##....##.##.##..###..###...#.#.......#..###.##.###..##..###..##..#####.#..#.#..##..###.#.....#..#.#.....#.#.#.#.#...##.#.#...#....####.#.##.#.#..##.#.###..##...##...###.###.#..###..#.####.#..#....#.#...#.#......#..#####......###.#.##.###.#.#.###########..##..##.#......##.#.######.#####..###.######.###.##.#.#...#..#....#.#..####...#.#..#.##.######.#..##..###.##.#..#.##.#...#.#.#..##.#..####..#...#.##.##..#..###.#.####.#...#.#.####.....#
#..#..#...##.#...##..#..#.##.#....#.......#...##...###.##..##..####.##.#.##.....######.#..##.....#.###...##..#.#.###..#..#..#..#..##...#####...#..####...#.....###..#...#..###.##.#..#.#......#..#####.#####......###.#...#.##..#.#..#.#.##.#..#####...###....####....#..#.#.....###....##..###.##..####....###..#.#..###.#.#....#..#....##.#.#..#..#.######.##.#.#.#####.#..#..###.#....#.####..#.#.###..#..#..#.##..#######..###......#...#..##.##...##...##.#......##.#.##.#...##.#....#######...#.##.#.##...#.#.
#..#####...####..#.####..##.##.##.###.#.#.#...####..##..#.#.#...##.######.#...#.##....#.#.##.#.##.#####.#......#.#######.#.....##.##.###...#..##..#...##..###..#.####.##.#......#####...#....#.##.####...#.#..###.###....#.###.#####.#..#.###.#.#.#.######..##..#.#.#...##.##....###.#.##..........##.######..##.#.##.....##.#.#..###.#.###...######.##.#.#.#..##...####...##.##...#..#####.#.###..#.###.#..###.#.##.#####..#.##...###....########.##.#.#.#.#.#.##....###.###........#..###..#...#...###.#.#...#.##.
#.#....#.#...###...##...#.#..####...##.##.#######.####.##.#...####..#.#.#..#.#.....##...##..#...#...####.###...####.#.####..##...###########..##.##....#..#.#...#.####.##.##....###.###.##.#.#.#..##.#.#.#.#.#####.#..###..#.###...##.##.#.#...##..##.##.######..##......#.....##..#.##....#####..####.....#####.####.##.....#....#..##.#..#.#.#.###.###.##.##..##..##......###.#.##.#.####.##.#..####.#..###.....####..###.#.#.###..#..#.#..#...##...##..##...##..###...###.#.#.##.###..#########..##...##..#...###
.##.###.#..##...#.######.....#.##.#..##.##.#.....##..########.#..#####...#..###.###..######.#.###.#..##...#..######.##...####.#.#..#...#..##..##...#.#.#.#...##.#.##.#.#.......##.#####.#.##....#..#.#...#.#..#.#.#........##....###.#.####...##....##.#.###..##...##.##..#.##.#..#####..###.#.##.#...##.###..#.#.#..#...######..#.####..##.#.##.######..###.....####..#.####.#.#.#..##.##.######...#..#.##...##..#.####..#..#.###.#.####.###....#.#.#.####....#.###..#.##.#..###.#..#...##.#.###...###..####...#.##
.#..#....##.#..#....#.#....##..#..###.#.##........##..#......###...##...#....##.#...#.##.#..#.###.###.#..#..####.....#..##.#...#.##.#..####.####..####.#.##...#.###.##.##..####.##.#.#.#.#...###...#.#.##..###..##...######.##.......##....##..##.##.######..##..###..###.#..#.##..###..##..##.#......#.#....##....####.#..#..##....#######...#......#.#...###.##.###.....#.#...##.##.####.#..######...#..#...#..###.##.####..#...###.####.##.#.....###.#..#.#...####..#..##.#.##..#..##....#....#...#.##..#.#.#.##.
#.#.###.###.#..####..#.####..#..#...#.#.#.......##..###.#..#..###.#.#.#....#.######.#.....##.#..#.#.#.#.#..##.#..##..###..#.##..###..##..###..#.#.#.###.#.####..#.#.###.##..###.#####.##.#.#...#....#.#.####.......#.##.....#....#.....#....####.#.###.##.#.###.#.###..###.##.#..##...###.##.##...#...#.#...#..####....###.###..##..##....#.#..##...#.####..#.###.#..#.#..#...#..#.....#.####....#...####...###.#....######.#.##.#.#....###.###....##.##..##.#..#..#.#####....###..########..#..#..####..##.#####...
##.###.#.###.#....####.###.#.#.###..###.#...###.#####.##...#..####....#.######..###...##.##..##.#.#.####.#.#..###..#.#.....#..####......#.#...#.#.#.#.......##.##.##...#.#######.#....#.####..#.#####...##.#.##.#####.#.#...##..###.###..#...#..##..##.#.##.#.#...###.....#.##.##.#.#..########.#..###..#....#.....###.###.....####.#.#.###....##..####.#.#.#.##.##...###..##.#.###..#.#..##.####...###..#..##..##.#..#.##.##..#.##..#.##....####..#.#..#.#...#..#.#.##...#.##.#...#.####.#..###.##....##.#..#######
#..###....##.#..#.#....#.#.###..##..#..#...###.#....####.#....#......#####.#..##...#.#.....#####.#.###.#...####.#...#.#.########.#...#.###.###.#.#.##.#..#..####.#.....#..#.#..#..###......#####.#.###.##..####.##...##.#.#....###..#.##...#..#.#..####.##.....#..#..######.##.###..#.###..#.##......###.#.####..##.##.###.#.##.#.##.#..#.##.##..#..#..#.###.#..#....#.########.#....##.######..#...#########..#...#...#..#.....##..###.#########..#.#..##.#.###.##..##....##...######..#..##..#....#....##.#.#.#..#
##.###.#..#.#..##.##..#.##...##.###.##..#.#.###....#.#..#.###...#..#.####.#..##.#.#..#.###..##.....#.###.##..#####.#.#.##..##..###..###.##..#....#.##.....#.##.#.........#..##...#.#.###.##..##.#####.####.#####..#.....#..#....##..#.#.##.#.###....#.#..##.##..#...###.#.#...#.#..###...###.##...####.#.###.#.#.#####.#.#....#####..##.#.#..####..####.#..#.#.#......##.##.##..#.##..##.#.#.##..#.......#...#..#########.###.#.##..#...#.###..#....#.....#####...#..#..#.##.#####.#.##.#.#....###.###.#.#.#.####.##
#......####..##.....#.#.#.##.####....##.#.#.##.#........##..##.####...##....##.####.###.#.##.##.....#.#.##.#.##..#...#....##..#...##.##.########.##.###.#...##.##..#.####..#..###.......##..##............###...###.#...###.##..###..#..#.#.##......##.#.#..####.........#.###...#.#.#..#########...#...##..#.#.#.#..#...##...##.#..#..##.#####..#.#.##..#.#.#.###.#...#####...#..#..#.#..#.#....###.###.#...##.####.##.###....######.##.#.#..##########..#.##.##.###...####.###....##..#...#..###...##.#.#...##....
#..##.#.#.#..#.#.#.#.#...###..#####..###...##.###....#.###.#...######.##.####..#.#.#.#..#....##...#.....##.##..#.###.....###.##...##....#....#######.#...###..#####....#...###.....#..#......#.#.###..#.####.#.#..#.#..#...#.#...#..##..##.##...###.#.##.####.....#.#.##.#.#..##..#.#.#..###..#..#######...#.#..##.###....#.####.#####..#######...#...#####....#...#.#.###.#######.#..##.#....##.#.#.#...#####.#.#...##.#.##...#..#####..#####.###.####..##.#..#.####...#.##......####.##.##....##.#.#####....#..##.
#.####..#.##..##.#...#.#.#####..##.#..#...###...##.#......##...###....###....##.#.####.#.#..#..####.#......##.#.#..#.......##...####.##.#..###....#.#..#.##...####.....##.#.##.###..######.#.##.###.#.###...#.###.#.##.##.##.#...##.#.#........##.###..###.#.####.##.#..###..##.##.##..#.#.###....#.##...#...#....####.#.#.#.......#.#.#..#..#.#.###...#.###..#..##.##.#.##.......##...#.#.########.#####...##.#...#..#.####.....##...#####.#.##...#..#....###....#.##########.#.##...#####..#...####..##...######.#
.##.#.##..#...###.##.#.#.........###.##...##..#..#.##....##.#..#.##..#.#..####..##..###..#.##.#......##...#...##.#.###..#.#.#.##..#.#.###...#......##...#..#####.##.#.##.#...#..#.#.#.....##..#..####.##.##.#.#.###..####.#..##.#.#.###....#.#..#.#.####.#.#.##..##.#..#####.#.#..##.#.##..#.##.#..#####...##.#.#....#......####......#..##.##########...##.#.#....##.#..###.###.##..###.##.####..#.#..######.#...##..#.#.....###..#..##.#....#####.#.#.####.###.##....#....##.#...###.##.##.###..##.##.#.##...#.###
..#########.######..#..#..#.#.#...#.#...#..#..#..#.#.###.#..##.###..###.#...###..#..###..#...##..#..#.#...#.##.###...#.###...#...##.#.#.#.####...####...##.#.##.####....#.#..#...#..##.#.....#..###.##....#..#..###..##.#..##..#######.#.#####..###...###..####.#.......##.##....#####..##.####.###.#...####...#.......###..##.####..####.###...#.#......#.....#..######.#...###..##.......###.###...#..#..##.....#.###.##.###...##.##.#####...#####.##.##.#.#.####....#...#.##...##..#.####.########.#####.#.###.#.
..##....#..#........##.....#####.#.........##..#..##...###.###.#.......#.#..#.#####.#.#.#...#####..#...####..#.#...#..##..##..#.##..###.#.#..#..##..##.##....##.##.##..##.####......############.......####...##...##...####.#####...#.#...#..#.####.#...#..#.#..#####......#....#..#.#.#.##.#..#..#...#..###.######.#.##.#..#.##...###...#.####.#...#######....#.#..####.######....####....####..###.############.##.#..#..#..###.##.....##...###.#.###....##....#..#####..#.##.####.##..####...##..#..###..##.#.#.
.#...#..#..#...###.#.#.#.#.#.#..##....###.....#..#######.####...#.#.#.#.....##...#.#..#..##.#.#.##...#.##.....#.#.##..#.###..#####..##..##.#..#.......###.###..##.##..##.##.##...#.#.#..##...##...#...###.#.#.#.##.##..##.#..##.###...#..###.....###..#####..#.####...##.##....#.###.##.##..##..###.......####..####.##.###.###...########...##....#..#.#..##.#.####...##.###..##.#.#..##...##..##.#.###.#.#.#####.##...######..###.###..#.........#.#..#.#..#..#.....####..###..#####...###.#....###.#.##...##.#..#
#######.##.#.#..###.#..#.......##.#...##.##.#....#.#.............##..##.#.#.#.###.#..##.###..###..##.##......####.#.##...#####....#..#....#.#####.#.####.#.#....##.##.##.#.#.#.#.#.#.#...#...#.#.##.#.##.#.##..####.#.#..###.#####.#.###..#.##.##.#..#.######..##.##.....#.###........#..#..#.####.#.##...#.####..##...#.##.##.######.#...###..###..#.#.###.##.##.......#.###...##..#.#...#.#.##.#.###..##.#.##...#...##.#.#..#.##.##..#.#.##...##..#...###...##..#..##..##..######.#..##....######.#####.###..##..#
..#.##.....####..##.#.#..#..#......###.####.##...##..##..#.#..####...#####.#..#.#.#...........#...#####.###...#.#.#..##.#.#.####.#.....####....#...#.#.###..###..#.#.########.#####....#.#....####....#...##...##.######..........##.#.#...#.#..#...###.#.......#..####..##.#....####.####.#####.......#..##..####.#.#.#.#..##.##....##..##.###.###..##.##.###.#.##..#..##.#...#..#....#####.##.##...#.####.##.##.##.#.###..#.......##.......#.##.#.#.#..#..##..#.#.#...###..##..##..#...##.####.#....###..#.#.###.#
#..##.#..#..#####.#...#..##.######.##...##..##.###.#..#####..##.###.#...##..#....#.##.#.#####.##.###.#..##..#####.###.#......##.....##.####...##.##..###....#....#.##.#..##.....#...#.####.....#...######.#..###.#..#.#.#.#.###.#..#.#.#.#...#.##.#.#...##..####.#.##..###..##..#........##.#.####.####.....#.##..#.###......###.##..#...#.##########.####.#.#.#.#.##........#.###..#.###.....#..#..#....#...#.###..##...###.##.#####..#.#.#.#.##..#.##.#.....#..#.#.###.#.###..##.###..#...##....#.....##.....##.##
#.#####.###...#...####.#..######..#....#..##.....##.##...##....#.###.#..#..#...###..#.#.#.#...#..#..######....#...##.##..##.#..#...#.##.#...######..######....##....####..#..##..#.##.#.###.#####.#.......#.#...##.####..#...#...###.##.##.#.#..#...#.####....##.#.#..##...#.#...##...##.###.#.#...#..###.#.###.....########..#.#.#.###.####...#.#.#.##..#.#.....#..##.#...###.#..#...##.#...#...#.###..#.###.###......##...###........#.#...##.##...##....###.#.#...#...###.##.#.##..#..##..#..##.....#.#.#.#....#.
.###.#..#..#.#.....#.###.##..#######.##..#.#..#...##..##..#......#.###.#....#..#..#...#...#####.##########.##.#..#..#.##.#.#.#.####..###..#.#####.#.#...###.##......#.......##.#.###.#.##.#....#######..#..#.#..#..#.#...####.##..#.####..#.#.#..##.#..#.##.#....#.#.##..#..#.#.####..####...##.##.##.##.#..#..#.#.######..#.#######..#.#.#..#.###..#.#.#.#....#.###..##......#.#.#.##.#.##.##....#...##.##..##....#.###.####.#..########..#..##.#...####..#.#...##.#.#.##.#.##.####.#.######..###..#......#.#...#.#
.#.##..####.####...#....#..#.####.#.....###.#.#####.#..#.#.....#......##..####...#..###...###..#.#.#.##..###.######......#.##...##..####...#.#####.....#...#..##.#....#..###..#.###...###.##....##..#..##..##..###..#.##.#...#..##...###..##..#.####.#....#.#.#.###.#.##.#.#.#.###.##.#..####.###.....#..##...##.###..##.##..#.#.....##..##.#..#####.###.#.##.####.#..#####..##.....###..#.#...#..#.####.#.#....#.###.#.##.#..##.#.......#.#...#.##..#.##..##..##.###...#.#.####...####.###.#.##.##.###..#......#..#
...#.#...###....##.#.##.##.....###.#...###..##....#.#..#.##.#.##.#.....##..#...#..#.#####.#.####.###...########....#####..#....#.###.#.##.#.#.##.####....###..##.#.#.#..#.#.##..##.##..##.#...#######.#####.###.##...####..#.#.###..####..##.#.#..#..###.#.....##.#....####...##..#########...#..#######.####..#...#..#...##.###..###..#.##..#.#..##.##.....##.##...##..####..#.#..#.##..#.#.....##..#..#..##.##.....##.##.######...##..#...#.#.####..##....###..###.#..#####..#..#...#.#.#....###.##.###...#..#.##.
##.#.##.#.#.###...#..##.#.####.##.#...#..#....#.#.#.#...#...#...#.##.##..##....#######....#....#......#.##....#..########..#####...#..##...#..#..#..##.....###..####.##....###.#.##.#..##..###.##.###.#..#.###.##..#.####.##.#.#.##..#..###.#....##.##....#.###...#.##..#.####.###...#..#.#.###.##.#.#.....#..#.#####.##....##.#.#..##.#...#.#..#.#.###...#..#.#.#..###.....#............#..######.....#......#...##..#..#.##.#.....####....#.##....#...###.###.#...####.##.....####..#...###.#..#..##..####.##.#..#
.###...#.#...##.....#.##..#..##.#####..#....##.....#.###.#.########.####..#.######..###......#..##.....##.#....#.#...###...##.#####.#..####.####.#..#..##..#....###..#..###...####.#....##....#.#.##......##.#....####.###......#.....##.#.##..#######..###...###.#.###.######.#.####...#..#.#.####....####...##.#########......#.###..##.##..#...######.......###.####.##.#..###.##..#...#####..#.#.##...#.######.#.##.########....#.##....#...##..##..#..#.####....#...###.##...#.#.....#..#..##..#.##.###.##..###
#.###.##.#...#..#.#..##.....###...#.#.###.#..#....#.##..........#.###..#.#.##.#.#.#####....#.....#.###..##.####..#..#####....##..##..#...#.#..#....#.##.#..###.#.#..#.#...####.#...##...###..#.###.#.###...#...#####..###......#.##.##.#...##.##.###..##.#.####.#.##.....#.#...#.##.###..##...#..####...####.#.#..#.##.....#...####...####..##..#.#...#.###.#..#.##....#.##..#..##...#.###..##..######.##..#.#.#..#..#...#..#####.....###...##..##.#...#..#####.####.##..##....#####.#...#.##.#..#####.##..##.#.##.#
###...#..#...#..##.##.#.#.#..#.##....#.#..#..#...##.#..##.##..#.##.##.#.#..#..#####.##..##...#.##...#...#####.#.#....#.#.#...#..######....###.#......#.##.....#..#..###.#.####.###.#..###.##.#.##.#..#.##.###.....###.#.....###.#.##..##...###..###.#.#......#.#....##...#..##.#.###..##....####..###..##.#....####.##....##...#..###..#.#..#.##..##....#.#.#.####..#.#..##.####.#...#....###....#..###...#.#..####.....##..#..#####.#.###.#..#..###.##...#.#.##.#.#......##.#.###...##.###.###...##...#....#..#####
##.###..#....##...###.#.#...###......######.#......##.##..#..#####..##.##########.###..#.#.#####.#.#...#..#..##.##..##...###.##....#.#.##..........##.##.##.###.#...#.##...##...###....##.####.#..##...#..###.#.###.##.##....####..##..#.#.##.#..##.##.##..#.###...##.##..#####..#.#...#.#...#..##.#.#.####.#.#####...#.....#..####..#...####...##....#.#..#....#..#....##....##.###...#..###.###.#.#..####...#....###.###.##.###..#.##..##.####.##.##..#...##.#...#...##.#...#...#...##..#....#.####...##..###..##.
#.##.##..#.##.##....#..##..##..#.##.#.#.##..#.#..#####....########.###..#.#..#.##.#.#..###....#####.#....######...#..####.##.#..#.#...##.####..#..#.###......####..#..#..#..#....#..##..#.#.##.#.#...###.#.##.##.##.##.#.#..#.####.#.....###.#...#.####..#..##.#.###.#.#.##....#..###.....##########..#...#.##.#...#.#..##.###....#.#..#...####.#..#.#..#.....#..#.##.###..##..#...#.####..#.#..#.###.##..##..#...###.#.#..###...#...#####.#..#.###.##.#..#.##........###.#.#######........##...#.#.###..#.#..#.##.#
##.#...#..###...#.##..###.....##..####...#####.#####.###....###..#####..#.##...###....#.#.#.##.#....##.##..#..##..#####.....###..#..#.##.###........#..##..##.###....#.###.#####.#.#.##...#.#..###....#.###..##.##.#.########...#...####.#.##.#.##.##.#..#.##.....###.....##......#####........#.#..##.......#.#...####..#.##.###..###..#..#.#.###..##..#..##..#..#...#..#..##.###.##.#......#..####....#####.##.....#####.#.####.##..##.....##..##.#......#..#.#..#######..#...##....##.#...###.##.#.###..###..#...
..####..#.######.##.##.##....#.#..###..#...##.#.##..##..#...##.#####...##.###.####..#..###.#.##.###.#..##..#....###...#.###.#.#....##.#..##.#....#.#..####.##.#.#.#.#####.##.#.#...#.####.####.##.#.#...##.#.#.#..#..####..#.#.##..#.#.####.#.#.#..###.#..##........#.#.#.#..##..###.#.#.##.###.#....##.####.#.#.#.........####.#.#...#.###.##..#..#####.#######.#.#...#.#######..#..#######.#.#.#.##.###..####...#...####..#.##.#.#.####.##.#..##.#####.....##....#####..##....#.##.###.#...#.#..###.####...##.####
.#....#.#.##..#.#.##..#.#......#.##...##.####...#######.#.###.#.##.####.##.##.#....###.#..##..#...##..##....##.##.#..###.#.#...#####...###..#.#..#.##.#..####.......#.##..#.###.#.####.##.##..##.#..#####..#.#.#..#...#....###......#####.#..###..###.#...#.##.#..####.#.##.########.#..####..#..#.#######.#.....##.#..####...#......###..#.#...#####.#.#...##.#####.##..######.....##.##...###..#..#..#..#.....##.###.#....###..###.#.#..##.##.#.###.#.#..#########.#####.#.##..#.#####..##.#..##..#..#.####.##...#
..#....#...#..#.####.#..#..#..#####.#.#.#...#.###.##.###.#.##...#.##..###...#...#.#...#####..#..#...##.###.#.####.##..#.####....##.##.......##..#.##..#.##.#....#.#....##.#......#..####..##..######..#####....#..##.....##.#.#...######.#.......##..#######.#.#.##.##..###...#...###...#..##...##.#.#...#####..####..#.#.#....##....###.##...#..#.#.#####.#.#....#.#...#####..#..#####.#.###.###.#.#.#....###....###.##....##....##....###.#.##...#####.#######.#..###.#..#....##...###.....#.#......#..#.##...#.#.
#......##..#.###.#####.#..##...###.#...#.##..#######.###.#.#.....#....##.####.#.#....#..###.##.#.#......##..#.#..##.#####..##.#..##.#........#..#...###.##...###.#....#..#..######.#.#..##..##.####.#...##..#..#..#..#.###.##..##.#..#.##.#.#.#.#....######....###.####.##....##..#..#....#..#.##.##..##..#.#####..###...#.#.####..##.######.#..####.#.#..#.##..###..#.#.##.##..##...##..####.#.#.##...#..#...#..##...#..###.#.#.####....##.#.#.##.#.##..###.####.##.#.#....#..#....###.####.#....#.#....###.##...#.
#.##...##.#.#.##..####.#.####.###.###......####...##..##..##.##.##....#..####..##.#####..#.#..#.####.##.....#..###...##.##.##.####..#.#......#.#....######.##.##......##.##..###.#..#.#.#.#.#.##..###..##.#...###.#..#...##..#.#.....#.###....#.#..#.##.....#..#.##....####......#.#####.....#.###...#..#.##.##.####.##.#.#...###....##.#.....#.###.#######..##.##.....#.###.###..###.#.#####.##.#.##....##..##.#...#.......#.#####.####..###...##.###..#...##..######.#.##...##.##.###..#.#...##..#...######......#
.#....##...##..##..##...##.#...#.##..#...#.#.#...#.#.....###.#######.......#.#.###.##.#..#...##.#..######.#.###.#..##.##.....#.....##..#.##..##.#...#.....###.#..####.#.##.###.#.#.#####..######.##...##.#.#...####.#.#.##.##.#......##.##.#.##....#.#.#.####.##.##.###...##.....#.#..###.#.##..##....#.#...#####.####..#....##.##.....#..#...####.#.###.#.####..##..##.##....#.##.###..##.#..####.##..#..###..#.##########.######...#.#.#.#..#.#.####..###..####.####.#.#..##..#.....#.###..##....#.###.#####..##.#
#####..#...##.#..###.##....##..#####..#####..#.#..#....##.###..#...##..##..##.......###.##....######..#.##.#.###..##..#.##...#.#......##..##.#..##..#.#.####.....#.#.#.##.......#.#..###.#.##.#..####.##..#..###...#.#.#.##..#...#..###...#...#...##....#.#...#..####..#.####.##.#.#.####.##.#.###..##....#.#..#.#.#..#..###...####..###.####.#####...###....#.#.###...#..#...######...#.#####....#.###...#.#...#.###.##..##..###.#.##.#...####...###...#....#.#...#.##.##.#.####..#.#.#..#######...##...###.#.#....
.#.###...#.#.#####....#.......#....##.##.#..#.#..#...#..##..##..#...###..####.#..#####.....##..##..##.#######....#.#......#.#.......##.....##.#.##.##...#.......#..###.#..####.###...###...#..####.##..##..#.###....##.######...##.###...#.#...#...#..#.#..#####.####.#.#...#####.#..#.#.##.#....##.#####.##.###.#...####..##...#.#..##.##.####...#####.##.#..#....#.##..#......##.###.#.#.#.#...#.#......###..##.##.#.##.##...#.#.#.##.#..#..#..#.##....#.......##.#.###.....##...#....#....###..#..#.#.#.#.###..##
.##..#...##.#..#.#..##..#.#....#..#..###..#.#.##.###.###..#.######.#...#.##.####...###.##..#.########..##.#....##...###..####..##.#.#.#.###.##..#.#.....#...###.##.#.####...#....#..##.##..###..#.#.##.####.#..##.#.........#.#..##.##.##.##.....#..##.##..##...#.#..#...#....#...##.#..............#.###.#####........#..#.#..#.#.#.######.##.....#.#####..#..##.#....#######.##.......##.#..#.#.####.##.###..#.##..#..#.##..##.###...######.###.#..#.#..#####...####..#....#.#...#.##....##..#....##.#######.###..
...#...##..#..##..#.#.##.##..##....#.##.......#..#######...#.#...#..#...#..##.#.#..#........##.#.#####.###...#####..##.#.###.##...#.####.###...#....#.#.#...#.##.#.##.#..#...#..#.###..####..##.#.####.#..##..#...#..##...###.#...#######.#...#######...#........#....#.#.#.######....#.#.#.####.#....#...###.##....######.###.#.#.#..#.###.##..##.##.##...#...###..#.####.......#..##..#.##.#.##..#.##...#..#.#.#.#.##.###.##..######..#.####.#.##..###.##..#....#..##.#..#.####..#.#...###..##..#.##..#.###.#..##.
#..####.....####.###.######.##.##.....#..########..##.#...#.##....###........#.####.#.###.#...##..##.#.#..#..#.#.....#.....#.##.#...###.....#.##.#.##....###.##...#....#.#.#..##..#...#..#.#.##.#.###......#.#####.#..##.#..........#....#.##..##...##.#.##.#.###.#.#..####.#..#.#...##..#..#..###..#...###.###.......##.#####.......#.#...#.##.#####.#..##..#.#.#.####...#..#.#...###.###...#.##.#..#...####.####.###...#.###.#.####..#.#...#.###.##.#...##..#..##.....#......#...##.######.#..###.##.#####.#...###
.###.##.#.#.#.##.#.#...##....#######..#.#.##.####..#..##.#....#.######..##########.....#####..#..#########.##.#.#.#.#.#...#.##.##.#..#.......###.####.##....####..#.##.##..#..#.##..#.###...#.#.#.#.###.#####..##.....#..##..##..####..##.########.#..##...#.#..###.##....######.#.#.#.###...##.##..#....##.#.##.##.####..#...#..#.#....#...#..##..#....#.##.#...#..##.##...###..#.#....##....#...#.#...#.#.##.#.##...#..#..###..#...##.#.####..#.##....##..####.#..#.#.####...##.####.###.......#.#.##....#.###.##.
##.#.#....####.##.###.###.##..#.###.#..####....#...#..#.#....#....#.##...#....#.#.#.....###..#..#...#..##.##.##...#..#.#.#.####.#.....#.####.....#......#.#.........##....##.##.#..####.....#.##.#...##...#.##..##.###.##.##...#..#########.####...######.##..###...#....#.#.##....#......##...##..#...##..##..#####.....#...#.#..######...#.##.#.#.##..##...#..#.#..##.##.#########....#####.#####.##.#.###.##.#####.#.#..#.####..##.###..#..##..#.#...#.####...#.##........####.#..#.#...#.##...##.##..##.##..#.#.
.#..##.#..#...#..###.##...##.#.#..#..#...##.#..#.###...##..#.######.###.#.#.#.##.####.##...##...##.#..###....##..##..#..##.##............##.#.....#.#..#.###...##.#...###....##..###..##.#..#.####.#.###.##.#.#...#.###...#.##.#####..###.###...#.#.##.#.#.#.#.##...#..#........#.#.#.#..#.##..#....#.####...##.######.#######....#.#..#.#.###...##.##.#.......#..##..###..######.#.#..####...#..#.###.#.#...#...#...#.#.##.#..###...#.#.#.#.#.###....###....#.###.##.#...#.....#.#.##..####.##...##.#..#.#..#...###
#.#....#.#.#.#####..#....####...#..#..##.####.##.##...#..##..#.###...#..##.##..##.#.#..#..##..#.#.#.#..###.#.#...#..#.......#.#...##.##.#.#....##.#.##....##.....#..#.#.#..##.##.#....#.#.###.###.#.###...##.####.#..#..##..###.#.####..#.#..#..#.#.##...##..###.##.#.########...#.#.##..#.###..........##....#.##.....####.##..#.##...#####..#..###.#...#.###..###....#######.####.#.##....#.##.####.#.#.#.#..#.#..#......##..#...###....#....#.##.#.#.#.##.#.#...###..#..###...###...###....#.####..#..##.#.####.#
#..#.#.###...#..##.#...#######.######..#####.....##.##......#...##....#.##.##..#..#.#####..#####..#...#.....#..#.####..#.##..###..###...#.###...#..#..###..####....##.#....####...#...##..###.....#.....##..#.##..###..####.##.###.#...##..#..#..#...##.....##.####.##.##..#.##..#..#.##.###.#..##.#####..##.##.#.###.#.#####.#......#.#.#....#..##..#.#...##.##.##.##.#....##.###.#..#...##..#.#.####.#####..#.#.####...##..####.##..#..##.##.#.###.....###..#..#.#....#.#####...#..#.#..#...#..#.##.#.#.#.#.##..#.
..#.###.##.#.#..#..###...########.#..#.##..######.##...#.#.#.#.##..##.##.#..#.#.#####..#.#...#.#.#..#.##.##....#.....##......#.#..#.##.#..##.#.#...#...#.###.##..#..#....###..##.#......#..###.##...#.......#..#...####.##....##.###..........#.#.####.#..##.#...###.###.#..#...##...#.#########.#..#.#..#.#......####.###...##.#......##.....#..#..###.###..###.#....#####..#...###.....#...#.###......#######..#.##.#....#.###......#..#.##.######......##.###...#.##.#..#.#.##.#.#..##....#.#...#.#...###...#..##
#.##..#.#.##....#...##..#.###.####.#.###.#..#.#..##.##...#.##.####..#...#..###..##..#.#.#####..##..##.#..#..#.###..###.#####...####.#.##....#####..###.##.##.#..####..#.......#.##.#..##.###...#.##.##.#.##....##..#.#..##...#..#.##.#.#.###.....##.##...###.####..#...##.##...##...#.#####.....#.#.#.####.#...###.#.....###...##..#.####.##.##..#.#..#..#.....####.####.#...#...##.#.##....####....#...#.#.###...#...####...#.#.#.##.##.##.####..#####.#.###..#######.#....#..#.###.##..#....##.###....#.#.####.##.
####..###.######.#.##....##.#.#.##....#...##.#.#.#....#..#....##...#....#.##.#..#....##...#..###.#######.#..##..#.##..###...#.....####.##.##..#.####...#...##.###.#..#.##.#..#.#..###.#.#.#..#.###..#.#..#..#.#.#..####..###.##..##..###...#......#.##.#.##.#.##.###.###.##.#..#..##..##.#.#.....#..##.#.##..#####...#......#..##..##.....#.#.#.#..#..#....##...#...#.#.....#.#....#.#.#####.#....##.##.##..###....#...#.##..##.#.##..##...###..#.#...#..#####..#..#.....###.#.##...##..#####...#..###.#..#.#####.#.
#...####.#.#.#.###..#.#...###.###.##..#.#.#...#....##.##.#......#..#.##..#.#.##.#....#...###.###.####.###.#.##.###...#.#..#....###.##.#.......##.#...##....#....#..##....####.####..######..##..#...##...#...#.######.#.##.#.##.######.#...#..##.####..#.##.####.#....##.###.###....###.##.#.#..##..#.###########..##.#.#..###..#.##..###.##...#..#######...#..#.###...#.#.#...#..#.##....#.######...#.##.##.#####.##..####.#...#.#####.##..#....###..#.#.#...##.#..###..#.#....#..####..#..##.###..#####.##..#.#..#
###.......###....###..#..##.#.#...#.###.##.#.#..#.....#.#.#..#....#.###.##..##...#####.#.....##.#..#...#....#.#..#..####.####...#....##.#.....###..#..#.............#.....#...#..##..###...#.#.####.#..#.#.....###....#.#.##....##.##..###.####.###.##.#...##.#...#.#####.#..#..##..######.#.#.###....#.##.#......#...#........##.#..#..#..#..##..##.#..#...##..#.#.###...###.#....#####.#######..#.##..#.##.##..####..#.#...#.#.##..#.###..###.#.###..##...#.###.##.##.#..##..#....####.#...###.#######.###..##.##.
...###.#.#.##..#.....##.##.#..#####.#.....###.####.##.##...#.#..##...#.#..#.##.###..###.#..##.#.....###....#...##.#....##.###.######.#..###.#..#.##..#..#.##....#....#.....##.####.##..#.#..###.#...##.####..#..#..#.###.#..##.##.#.#..#...#####.#####..#.#.######....##.##..#.##.#.#....#......#.#.##...#..#..#.#.##.#.#..#.#...###...##..#...#..####..#...#.###.#.#.#####.##....#.#.....#..##.#..###..###..#####.###..#......#..##.#.#..#.#.##.#..#.#.#..##.##....#.#..##..#####...####..#####.....#.....#.#..#.#.
##..#....#...#.###.###...#.#...#.########.#.#....#..##..##.##..#.#..####.#.###...#####.##.#......#....#..###.#..#..##..##..#.#..#........##.###.#.....##.#.###...###...##.##.#.#.#.###..#.##..####.#..#####.##...##....#....#.##..####...#..#..#..####..#...###.##.#.#....####.#..##...#...#..#..#..#..###...#.#.##...#...#..#.#.#...#......#..#.#..#..#...##.#..#.#..#.#...#...####.##..###.##.####...#...##.##.#...###..#....##..##..#.##.#..##..##..#.#.###.#.#.#.#..#...####.##.###..#.#...#...##...#...####....
......##.##..#...##.#....####.....##..#.##.###..#.###.....#...##..#.......#....#....#...##...#...##.....#.####..#...##.##.####.##.##...#.###.###..#...#....###.##.......#..##.......##.##.....####..#.#.##....##..#..#.###...#...####.......##....#..###.###.#...###.#......#...#.###.....#...#.####...#####.###.##.##....##..##...#.#.#..#.#.##........###.##..####.#.##..#..####......##...#.###.#####.#.#.####..#....#.#.#.###..#.####.#.#...#..####.##.....#.#...####.#.....###..#.##.###..###.#..#.####..###..#
....#...#.#..##..#.#.#.###..##..##...##.##.##.#...#....#.###.#..##...###.#..#........#...####.#.###.##.#####.###..####.####.#...#.##..#.#..#.#.##.###.#.#..#....#.#..#.#..###..###.#.#####.#.#.####......#..##.###.####..##.#####..#.######..#.##.##.##..#...#....#.##.#####..#.##.##.####..###.####.#.#..#.#.##.#..#.####...##..#..##.##.#.#..##..###..#.#...#.......#.#.#...##..##...#..#.##..#...##.##.##.#...###.#.###..#########...##...#.##.##..###..###..##.###.####.####..##.##.#.####...#.#####.....###.##.
#####....#....#..###..#.....##..#.#.##...#.#.#..##..#..#########.#...###.###..#.#.#.#..##.#..##.#.####.#.#.#...#.####.##...##....#..#..#.#..####.#..###.##....#####...#.....#.#.#.##....###.##..#.####..#.##.###.#...#.#..###..##....#..#.#..#...#.#####..####.###..#...###.#.#...##.##..##.....#.#.#.###.#..#....##.#..#..#.#.#..#......#..#..###..###..#.#.##.........###..##....##.#....##...##.##.#..#....#..###..#..#.####.###..#....#.#.#.#...##...#.##.#.##.###.....####..#####..#.######.#...#.....#####..##
..#.######.....##..#.#..#..###..####.....####...###.#..#####..#.###.##.##...##.##.#..##..#..#...###.#.#.#...#######.#....##.#...####....##.#....###..#...##...#..#.#...######.##.#.#..#.#.#.###..####..#.#..#.#...##.#..##.##...#...##.#.###...#####..#.#...##..#..####.#.#.##..#.##..#.#..#######...#.....#.#..####.#...#....#.#.#..####..#.###..###......#..####......#.####......##...#######...#.....#.####....#..####.#.######...#.#..##.######.##.#....##.#..#.####......#.##.#..####....##......##......##..#
..######.#.#...####.#.###......##.###.#.##.#..##..#.###..#..##..####....###.##....####.###.#....#...#.####.##.#.##....#.#.#..#########...#....#...#.#..####..#..#......#..#.##.##.#.#..#.###.##.#..####.##.##..#...#..##.##...###...#.#..######.#.#....#...#..#.##.....#.#...#..#.##....###....#.....##.#.#....#.#.#..##.#.#.##.#.#..####.#####.##..##.####.#.#.#...#####.##....#.###.##..###.##..#..##.##.....#####.#.#..####.###.###.#.##........#.###..###...#...##.###....#..#.....#...#.#....#.###..#......##..
#.#....#.##..##.#...##.#.#.####...#....#..#.##.######.######.#..#.#.#.###.##..#.#.#.##.....#.#.#.####.#......##.###..#.#.##...###.#..####...#...##..##.#..#......##.#..#.#.##.##.#...####.....#...#....#.#.###..#.#..#.#..#.#.###....#.###.#######.#..#.#...#.#...###...#....#.###..###....###.##..#...###..#.#.##...###..##..#...#.#..###.##...#.....#.###.#.#.##.#.#.###..#..#####..#..#...###....##.##...##..##..##...#######..#..#..###...#.##.#..#.#..#....##..###.##.###.##.#..##.##.##.......#.#...##.#...##.
.#...#..#......#.#.######.###.##..#...###..#..#.##.#.###.#..###.####.#.#..#..#.####..#.#.#.#.#..........#...#...#....######.####.#..##..###...##.....#.#........##.#...###..####.##...#...#..##...#...####.#.##.###.##.##.######...##..##.###...#.####.#..#####.##.####.##.##..#..#.####...##..##.#.#..#.##.##.###.####.#.#..##.....#...###..#.#..##....#..#...####.....#.#.##.##....##.#..##..#.##..#.#...#....#.#.###...#.#.##.####....#.##.###..#.#.###.#.##.#...##.#..#..#####....###..#..####.....#..##.######.
#.##.#...##.#.#.####.#.#.#..#.##.#.....##..#...####.#####....##...##..##....##..#.####.#.######..#...........##..###.#.###.....#....####..####...#..##..###...#..##...###..#....#.#...##.######.##..##.##.####...#.##..###.##.##.##.##.###....#....#.##..##......##..#.#.....#.###.#....#####...##.#####.####...###.#.#..##.#..##....##..#.#..###.#..#.#.###.#..##..#.##.##.####..#....#.########.#.#..#####..####.##.#.#..##.....#####.....#....####..#.###..###.#.##.#.#...##.#..#.#..##.#....##.#..##.#....#.#...
...#######.#.#####.##.#..###..#....#.###.##.###...#..#.##.##...#.###........##..##..#.#.##.#...#.##.###..#.###.#..##..#....#.#.#.#...##....#.#......#..#.#.#.#.#...#...#..#.....###.#..##.###..#...#####.###.###.#.##.#..#...######..#.#..##.#.##..##...#.#..####.##...##.#...##.#..#...#..#.##..##..##.#######.##.#..#.####.#.##.#.......#..#..####.###....#.#...###..#.#.#.###.#...##...##.###.##.##.#..###.##..#...###.####.###.......#......###...###.#.........#.#.#####..#..######..##....#..#.#..#####.#..##.
.#..##.#.#.#.####.###..##.##.##.##...#...#.##....#...#..#...#######..######.##.###..##....#..#.#...#.####...#..#..##..#.....###...#..##.#....#..#....#.##.##.#....#....#..#.#......#.#..#........#.#.#.####.#.#....##.##.#..#..#....###.#..####..#.#.#..####.##..##...#..#..#...#..#.#...##....#.#.#.#.#..#....#.##..########.#..##..##...#.#.##..###.#..#.####.......#.##.##..#...#####.##.####...##.#..#.#.##.#..#..#####.#..###.####.......#.....###.#..#..#..#.#.#..######..#...#.######...##...#..#####.##...##
.#.####.#....#.###..#.#.##.###...#..###..###.#..#.####....##.##.###..#...###.#####...#..###.###.#.######.#.#.##...#####...#..#...##...####.#.#..#..##.###...#..######.###.###..###.#.#..#.#.#...########.#.#.#.####.##.##.#.#########.###.#....####..#.#.##..###...#..###.#..#####...##..#..######....#...#...#...###..###.#...#.##.#.#..###.###.#.....#.#...#..##..#..#..##.#..#..######.....####...###.#.#.#.#.....#....#...#.##...####.####.#.###.#...#..#..##...#....#....####.#.#.#..######......#.#.#.##..#.##
#..###.#....#...####..#.#.#####.#.####.#...##.#..#.##.##.##...#...#...##########..#....##..#.##.#.#..#.#..#......#...##..###..#.###....#####...#...#######..###.#...##...##.####..#.##.###..##..#...##..#....#...###.####...#......####.#...##.####..#..#.#..###..#..####...#.....##..##.##...#.##..#.#.##.#.....####.#...#.#.###....#.#.#..#..##....##.##.#...#.##.##.###.###....##.#####..####..#...#.###.##.#.#...#..##.##.#..##.#.#..###...###.#####..#.##.....#.#######.#..##.....#..#.##..##....#.........#...
..#.###.....#..##....#.##..###..##.....##.####..#..#.....#..#.#..##.##..###...##.#...#.....##.#.....#.#..##....#.##.#...#.#..#.###..#...#..###.#.####....#...###..#..#..####......###.#..#.#..#..##.#..###..#....#.#.#..###..##.#.##....##.....##.##.##.#..##.###.####.#..###...###.####...##..#..#...#...##.#..#.#...####..#..##.#.###.....##.#.#..#...#.##.#...#.#....###.#.#.##..####.#..#.........###.#.#.#..#.#...#....#..#..##.###.#...........##....####..#.#####.#.##....#.#.####..#.###.....####.#....##..#
##.##.#..#.#..##.#...####..##.#..##..#....####.###.##.###.#...####..#.#####.#..###.##.#..#..##.###.....#.#...##.#....#..###...##.##.###..###.....#..###.###.#.......###..#.####...#.#....###.##.#...###.#.###.#.##......##...####...#.#.##.#####...##..####.......#.#..###..#..............###.####....###..##....#.....##..#..##...##....##.###..##...#.#......#.##..###.##....#..#..#.#..##..#...#.#...#.####.###.##.###.###...##.#.#..##.##.##.##.###...#....##.....#.##..##.##.###.#.....####.######..##....#...
..#.##.###...#.##.#.##....#.....#.###......#...###.###......###.#......#..#..###..##.####.##.##....##..#...#..#....##...#.###.#..#.###.#..##...##...##...#..#.##...###.###..#.###.#.####.######......#.#.#.#..#..#.####..##.#..##.##.#..##.#.#..#.###..###.#..#..###..#..#.#.#...##.##.#.....##.##..#####..#..#........#####.....#.....#.##.#..#.###...##....#.#.#...#######....#.######.#...##....#.#..#....##...######..#.#..........###.##...#.#..####.#.#...#...###...#...#..#.#.##.#.##.#.#..#.#.#...###.#.....
.###..#.##..####.#.##.##..###.###....#.#.#.##.###.#.#.........##..####.##...#..####.###.##..#..#######.........#.#....#......###..##..#......#.#.#...#.#...###....###...#....##....##...###.#.##.##.#.##....#.#.........#.##.###..#####...#...#.#..#.##.##...#.##.##.#...#####....#.########...#.#..#.#####.####.##.....#..##.##.##.####..###.#.##....#...#...##.##.#.######..######.####.#.###.#...#..#.##..#.#.##.##.#..##.###.##.##....##.#.####.#.#...##..##..#.#.##....#..#...#..###..#.#.#....##.##..##..###..
......#...#.#.#...#.##.##.#..#..#.#..##..#.#####.##.####.###.##.#...##.#######..##.##.##.#...########......##.#..#######.###.##.........##...####..#.##....#..####...#.#....##.##.####.##...#...#.#######.#.##.#..#.#####.#....##...###..##.#...#...###..#....#..##...#.#.#.##..#.#.#.##.#.##.##.....#...##.#.###..###.#..##.....###...#..#.##......###..##..###.##...#.###.##...##...#....##.#....##.##..##.#.#..##..##...#######..#.###.######.##.#.####..##..#...##...##...#..#.##.####.#...####....#.##.#.#..###
....#.########..###......##...##....##....###..#.....##.###....##....####..##.##.#.##.....##..#.#.##.##..##...##.##.#..##...##.#.#.##.##....###.....##.######...##..###...####..#......####.##.#....#.###.#.##....#.#......##..##.#.#.....###.###.#..###..###.....##.....####.##.#..###.####..#.##.#..##.##..###.##.########.#.#..#....##...#####.##.#..#.#..#..###.#.....###..##..##........#.#.#.#.####.#..##.#...##...#..#.#.#.#.#.....###.####..#..###..####.##....####..#...###....###....###.##...####.#..##.#
.....#######...#..#....#.#.##.##.#.#.#.######..##.###..##.#..##.#.....##..##..##.......##.#....#.#...#..#..#.###.#.####..###.##.#..##.#..#...#....###.#..#..#######....##..##..#...##...##....########...##....##.#.....#...##.##....##.##......##.#.#..###.##..#...#.##..#...#..##..#.#..#.#.#.#.#...###...#....#..#..#...#..####.##.###..###..#....##.##...####..####.##..#.##...#....##..##.....#.#.###...##.####.#.#.##.###.#######.#.....##.###.#....#..#..###.#####.##.#..###.###########.#.#.##....########.#
.#.#.#........#..##.##....##..#..###...#...###.###...##...#######...#....#..##.#.#..#..#..#.#.##.##.###.#..####..###.##.####..#####..##...###.##....####.#.....##..###.#.##.##...#.#...#......#........##..##.#.#.#.......##.....#.#.#.#.##.###.##..#.#....####.##..#....#.####.#.#########...#.#..#..#..#..#..#.##.#..##.#.#.##.#.##.#.##.....##.....#####.#####..##....##..##.#.#...#####......#.#...#...##.#.#..#..####.#######...###.#..#.###.#.##..#.##....##.#..#...###..#.#.....#.###.##.###.....#.##.##.#.#.
#..#..#####.####...#.###..##.##.....##...#....####.#..#..#.##..##.###.......##..###.###.##..#.#.#####..#.##.####.#.####..####.#...##..####..#.#.#######...#.#.#..#...#.#.#....#.#......#..#.####...##.#.#....##...#.#......#.#.#.#....#..###...#..###.#...#.###.##...#...#....#..######....#.#.##.#..#..#....#....###....###.#.###.###.....#..#.######.#...#########...#...###.#.####.##....#.##..##.#.##..##.##....###....####..##.###.#...######.##########.##.#...#..##......###.##.##.####.#.##...#.##.........#
#..#..#.#.####...#.###..##.###.###.##.####..######...##.##.####..#####.###.#..#......###...###.####..#..#.#..##..#.#.######.#####.##.##.#.####.###......###.##.###..#...#.###...#.#...####...#....#.#...######........#...###...###.##.#.#.##.##.###..##..###.#.#..###...#.#...#.##...###...#.#...#.#.#.#..#....#.##.#.....#....#.#.#...###.#.......#..#...##..#..###.##.###.#.##.....##.#....#.##.########....#..#..######...##.#...###.#.##..####...########.#.#.####..######.####...#.###..####..#..#####....#.#.
....#.#...###....#.....##..#....###..##....##.#.#.####.####..#.##...#######.##.#......#..#.#...####.#.#....#.#.#...#..#..##..#####.#.#...###.###....####..#.#..##.####.##.##.#.##.......#..###.#..#....###.###..####.....##.##..#..###.#.#....##.....##..#.#.###...##...#..###..#..##.....#.##.#.##...#.####.#..#.#....##...######..###.#.#.######...########.####.#...#.####..#...######.##...##.##.#######...##..#.#...#.#.######.##...###....#......#.##...###...#.#####.#.#...#...###.....#.####.##.########.##.
###....##.#####.#..##.#..####.##.#.##.#..#....#.##.#....#.#.##.#.##..###..##.##.##..#.#.##.....###.###.##.##....#.#...#...#..###.##.....##.#####.####.####.#.######.##..#.###...#.#..#...##..##.#..#..####..#.###..##..#..#...######.##.##.###...#..#.#...####.#.##.#.####.....#..#....###.#.#.#########...#...###.##.###........#...##.##.##....#.#..####.#...##.#..#..#...#......#..####.##.#.##....#.##..#...#..#..#..##.###.#.#......#.....###..#...##.#.#.#....#..####.#..#.....###.#.#..#...#..###.#..#.#.....
.#..###.#..#.#.#.###.#..#.######.....####..#.#..#...###..#..#.##.##..##.###.#.#.....#....###...##..#######.#.#..#.###.#.####.#.##..#..#####..#.####.......##..#.#..#.#..####..###.........#.##..#.#.#.#####.##.#..###.#######........#...#..###.##.#.####......#..#.#.#...##.###.#.#######.##.###...####..###.##.##.#####......###..##.##...##....###.#....#....#..#....#####.###..#.##.#.##..#....#.#.#.##.#...#.##.#.#..##..##...##...##.####.#.###....#..#.#.#..#.###..#.##.#.#......#.##.########...###....###..
#....##.###..#####.#.##..##.#..###..##...####.##..#.##.##.#...##..#...##.#.###.#.#.#.##.#.###..#..#.#.###.#..#..#.####.##.###...#..#.####.###.####....#.####.#.#..#..##..###.#..###.#.####...#.#.##.##.##.....###..#...###...##..##.#.....#.##.#.....#.#.......##.#.#.#..#####.##.####.###....#.####.#.#.###.###..#.##.##..###...###.#.#.######.#..#####...##...#..#..###.#...#.#..###.....#.##...........#.#..##...####..###......#.##..#..##...#.....#.###..##.#.......##..#..#.##.#.##..######..##..#...##.#.#...
....##..#.###....###.#.####.######...##..#..###....####.##....###..#.##.###.#.#..#..###..###.##....#...###..#...#####....##.#.#.#..####.########...###.#..###.##.####..#..#.#.#............##..#.#..#.#.##.###.###.#....#.#..#.....#.#..#..#....#...#.##..#......##.#..#.##.#..#...#######..#.#.###....####.##..#...#.#..#.##.######...#...##..##...#.###.##..######...#.#####..####.#.....#...####....#.##.##.#.######...##.#.##.#.#.######....##...##..##.#.#.....#.#.##..##.###....#..#.#.####...#......##.###..#
##.......#.#####..##.#.###.##.##.....#.##.#..#.#######..##..#....##...#.#.###..##..#..##.#######..####.#######.######.#..##.#...#.##.##.....#....###.#.#.#.....#.##.######.##.##....#.###.#.#.#..###..#####..#.....##....###....#..##.####.##.##...####..##.###...#.##.#.##..#.#.##.....#.###.##.#.#.####..##.#.#######...#.##.##...#.#######.#####..#.#####....#.###.....##..##.#.###.#.#.#.###.#.##..#.#.####..#......###.#..#.#.#####..#.###.........#.#.#.####..####.######.#..#.#...#..#.#...###..##...####.#.#
#.....#..##.#.####..#..#...####...#.#..#.#.####..#######.#...###..####.#.#..##.###.#..#.#####.###.#..#..#####....#..#.###.##.#..##.#...####...###..#..##.#..##.###..##.##.##.###.......#.#........#.####.#.#....#.##.##..##....#.##.##...##.#####..##......##.#.#.###.#.##.#.##..#######..#..##.#..#####.....#.#..#..#.....#...#.#####....#####.#..###..#...#.#....#.##..###.#..#..##..##.#.#...#...###....#.#..#..#.#.#.###.#.#.#.....#####...###.#.##.#.##.#...#..##....##..###...#..#....#.##.####.###..#...#.##.
...###.##..#.###.#.##..###..##.#.........#.#..#.##...####..#.##..#.#.###..#.##....#...##......#..#.####..#...#.##.#..#..##.#..##.....#.###.#.#.......#.##..###.#####.#.####.###...#....##..#...#.###.#...#.#.#..#....#....##.#####.#..#...#.#.#..###..#####..#.#..###.#.#....##...#####.#.#.#..#....###.####.#..#....#####.######..#.....###..#...#..#...#..##..##..#..#...##.#.#.###...##.##..##.....#..##..#.#..#.######.#.#...####.#..##.#.######.#...#....#...##.###..#.######.#.#.#..###.......##..###.##.##.##
#..#..##...######.##.###.##..##..#.##.#...##.#..#.#.####.#.#.###...#..#.#.#....#####.#..######..##..##.#.#.##..###..###.##..##....#....##...##...####.#####.....##.#..###.#.##.##.#....#..##.#...##..###....##.###.....####......#..###.##..#.#.#.#..#.######.#....###..#.##..##...#..#..#.####.#...##.###.#..##...###.#...#.#....####...#.#...#..####...#####.#######....##..#.###....##.....##..####.#..####.####.##...#.#.#.####.#..#.#...#..###.#....##.##.#.##.#.####..#.#.#..........##..#..#..###.####..##...
#...#.....###..#.#..#.##.#...#.#.#..####...###.###....####.#.##.##..####..#.##..#...#..####.##.#......#.#......#.#.####.##..#.#...#.#####...#.#...#.#.##..###....#..###.#####.#..#.##.##..#...##..##..##..#.#.###..#...#..#...#..#...##.###...#.#.#.....####.#....#.###.#..#.#.####...####...##...###..##.####.####..#.#..###...##.#..#####.#.#....####...##..###.##......##..##....#....#.#...#......##..#..##..#..#..#...###.##.#.....#.#.....#...#####.#..#.#...##...##.#.....##.#.#.......#.#.#########..##.#..#
..####.....####.#.##.#..#....#.#.#......##.###....###.#......####.#.###..##..#....#.#.##.##..#..#.##.##....##.####.#.##.#..##.##..###...#.##.#.#.....####..#.###..##..#.#...##...##.##.###.....#...#..#.###.#...#.####...#####.#.#.#####...###.#...###.....###...##...####.#.##.#.#.####..##..#.#.#.##.##.....#.......#.#.#..###..#..##.#...##.##.#...#.#..##...####.#.##.#.......#..####.#..##.###.#......##..#...#...#.#.#....#########...##...#....##....###..##.#.#...#...###..#.####......#####.#.....###...##.
##.###..###...#..#.#..#.#.#.#.#####..#.##..##......##..###......#.##.#....#..#.##.#.###.##..#.#.#..####...##.#..##..###.#.#.####.##.###.##.####..##.#.#....###..#.####...#...#.#....##.##.#####..#.##.##....####.##.#...#..#..##########.##.######.#######.....###....###.....#.#...##...#..#.#...##..........##..#.###.##..##.##..#.#.#.#....###.########...##.####....#.#.#.#...#....#..##.#.#####.#####.#.#...#..########.##.###.###....##.#.##.#.#......##.###..#.##.#.###..###.#.#..###.####.#.#..####.#.####.#
##..##...###....###......#..###....#.#.####.#.##.##.##...#.####.#.#...#....................#...#.#.##.#####.#..###.##..#####....###.#..#.###.##....#...####..#.#######.#.##...#..#.#.###..###.#.##..##....##.#.#.....#...#.###.#.#....##.#.##......#..#..##.####.#.#.#.##....##..##...#..###....#.####.##...#.##.###.###.####.##...#.###########.#.##.##.#.##.##..##..#.###.#.#.#...#..#..#####.#....###.####.####.#.#..####..##..#...#..#..#.###...#.....##.#.##.#.#.##..##.#....#...##.##..##..#.#.#..###.###...##
#####..#####.#.#..##.....#..#.##..####.###.##.#..#.##..#...##..#.#...##.###.#####..###.####.#.###.####..#.#.#..##.###......#.#...###.#.####.#..##.#.#..#.##.....#...#.##...#..#..#..###.#####.#.#..#.....#.#.#.###..#..#.######............#####..#####.#.#...###..#.#####.##..###.....##..##......#####.#####.#.#.#.##.#.#..##....####..##.###..######.###..##.##.#.###.....##..#...##..####...###.###########...#..#.###...#.#.##..##.##...#..#.#.#...#.#.##.#...#.###.##.##.#.....##..#..#.#.#.#.#..##..#...#..#.
#.#######.#.....#..####.###.######..##....##.###..##.......##.#.#..#...####.##...#######.#.#..#.##.#.#.....#..#.##.####.....#####..#.....###..#.#..#.#.###....##..#..##...###...#..#..#.#..#..##..####.#...#.#####...###.###..#.##.#.#.##..#....#.####......#.####..###....####...####.#.##.###.####..#.#..#..####.#..####...###.#.#.###..#..#......##.##...#..##.#.###.#.##..##.###.##..##.#..###..###.##....#...#..##########.#..###..#.##.###.#.##....####.#######..##..#..#.#.....###...###...##.#..##...###..#.
#.#.#...##.##.....#####.###.#.#.#####.###..#.##..#.######..#.##..#......#.#....##...####.##....###....##..........#.##.##.....####....####.#.#.#...#.#.#.#...###...##..###...#######.#####..#.#.#.####.....#.##.###..###..###..###...#.##.#.#.....#...#.###.#..#...##.###.#######.....##...#....#.###...###.#####.#####.#.#...#.#..##.#.#..##....#.....#..##....#.##.#.###....#.##.#.##.#..##....#...#..###...#.##.....##.#...##.#..###.###.#.#####.#...##..#...#..#..####.####.#.#.#.#.#.....##.#.###...#...##.#...
.###..#....#.#.###..#.#.#.......##.##.#.#...#..#..#.#..#.#....#..#..##.#..#....#..#.#.#.....###.#.#.##....####.###...##.##.........#.##.######..#..####...#.##.#.###.....#...#..###....#.####.##.#######..##.....##...####..#......##...##..####...#.#..#......#.####..##...#####.#........#.#.###.##..##.#####.####..#..#.#.#..###..#.#####.##....#..##.#####.#.#####..#.#####.##.#..###....##.#..#####.#####.#...#####.......#...#....#...#.#...##..#..#.#..#.##..###.##.#########.##.#.#####...#.#..##.##..##.##.
......#.##.##..#.####.###...##...##.#.#####...##.#.##.#...#.#####.#.##..##.#.#..##.##....#...#.#..#......#...####..######..##....#.##...##.##.####.###.####...#####...##.#.....###.###..#.##.#...###...#.##..#######.##.....#.#.#..#....##....#.#.#.####..#####...#.####.##...#.#####.#..####.#.#..##.##...##.#...####.#.##.###.##.#...#...##.#....#...##..#....#..##...##....#..#######.###.#.#.#.#.##.#..####.##.####..#######....#.#..#..#.....#.#....###.#.###.##.#.#...##.#....##.###..#########...####.#...#..
#..#.####.#....###..##.####..###....###.###.###..##.#...#...####..##.##..##.##.#...##.#.........#.#..#.#.#....#..##.#.##.#..#.##..#####..####...#.###.###....###....#.###....#..#####....#.##...#####...#..#..####.###..#..####...#.###..#...##...##...##......#.##.#.#..#..#.#....#..##...##.#..........#.#.#.....#.#.#......###....##.##....##..##..#..###...##.##...###.###.#####...###....##.#..#.#.##...#...####...##.#..#...##...###.#..##..#....#..###.##...#.#.#.##.#.#.#.###.######.#.#.###..#.###..###...#
#######...#.#..#....##.#.......##.###.#..#..##..#.#.######...#.#....##...#####.#.#.########....#.##..####...##.#..##..##.#.#.#.##....#.###.....#.#.####.##.#..#.#..#######.#..#.###...#..##..##..#...##...##.####.....###....#..##.#####..#.#..####.##.#.......###.#.##..#.##..#.##.##..####..###.#..#.##.###.######.#..#.#...####.#.#...#..##...#..##.###.#..#####..##...####.##..#...#.#...###.##..#....####.##.###.#...#.#.########..##..##..#..####..##..##.#.##.#.######..#####.#######.#.####.....#.##.#....#.
.##..##...#......#..#..#....###.#..##.###....#.#.#.##.#..#.#....####..###..####..#.##.#.#.#.###.#..##.##.#..#...#.#.....##.#######.....#..##.....##...##.##..#.#.#.#.#.#.#####..####..##.###.#..####.#.#..##.##.##..##.#.#..#####......###.#.##...##.#...#####.#.....##...#.###.#.#..#.##.##.......#...###...####....##...###.##.##.###.#.#..#.##.#.....##.#.###.####.####.#..#..##.#####.#####.##..##.#..#.#....#.#.#..#####.##.##.#..#...###.##.#...#..#.#.#.....#.###.##...##.###.###.##.#.##....#.###...#.#.#..#
#.###.##.....###.#..#..####.##....#.#..####.#####.....##..#.#.#..#...##.#....##...#.#.##.#..##.##.#.#.##.####..#.##....#.####.#.#.###.######.##..#..#######.#.#..#..#.....###..#.##..##..#..#...##..#.#.####...#..#####.#.##...#.#########.......#.########...#...##.#...###..#...##....#.#..#...###..##..#....#...########.#####.##.#.#..##.##.##.##..#.#.#..###..###.#.......#.#..#...#..#.....##.......#.#.###.##.###.#.#.####..###.######.######..##.#####..#.##.#.#.#.#.#..#..###.##.#.#.#.###.#..#....#.#.....
##.##....#.#.#.##.......####.#..##.#.###.##.#.##..#.##..........##..#..#...#.##...#.##...###.###..#.##...##.#.##..###........##...#.###..#..#####.##.#...#...#.#..##...####..#.#.####..####.##....##.##..#....##.###.#.#.##..#..#..#.##.#.##.#...#..#.#....#.####.....#.#####......#.#..#.##...######..#...#...####.###.#...#..#.....#####..#..#.###.#...###.####.#..#...##..#..###.##.#...##.####..##..##..#.##.#.##..#.##.####...#.......#.#.#......#.#..###.#....#...####.....#.##..#.###.#.#..#.#.##.#.#.....#.#
#.##.####....#.......#...###.......#.##..######..####..#..#....#..#.#.####...##.###..####..######..#..#.###....#.#...##.#.#..#####..#..#.#.####.##..#..##.#.##..#.##.#..#.####..##..##.#..#....###.##........##..#..#########..#..######.####.#....##.#####..#..##.#...#..#..#.#....#..##.####...##...#....##.##.#.##.#.######.###...####..##.#.###...#.#.#....##.#..#.#.##...#.##.#.#.#....#######..#...#...##..#.#####.##.###.....###.####.##.#.#.#....##.#.....#..##..#.#....#....#.##.#...######..#..##..#.###..
####..#.....##.##.......###..#.#.##...#.....##.##.#..#..#....##..###..........#.#.##.###.##.##..#.#.....#.#####.#....###..#..##..##....##...#.####.###.###.##....##.##.#...#...##..##.#....###....##.#.##..###..###..######.#...#...##.###..#...##...#.#.##..#.########...#.########..#...##.##.#.#..###.###.#.##.#.##.#.....##.#.#.##.###....###.#.###..#...#.##...###.#...##....#..####..##.###.....####......#.....#..#.#..#..#.#.#.....#..#.##.##......#####........###...####..#.....###.###...##.#..###.#.#.#.
....#.#.######..#.#.###.#.#....#..#...##......#..#...###.##.##.#.#..#####.##..#..#...#.##..##....#.#..######..#.#..##.#####..##.#........##.####.#.....####.#.#..####....##.#.##.##.#.##...###.#######.#.....##..#.#####.##.##...#######.##..##...##.......#.#.....##.###.......#.#.####..###..##...##...##..#######.#.#....#...#....###.##....#...##.#....##.##..#.#..##....#.########...#######.#####..#.#..##...###.##.##..#..###..#...###.#.#..##.#.##....##.....##.....#....#..#.#.#.####.#...#.#.#.#.#####....
##.#.....#.#.###..#.####...####.##..###..##..#.#.#.#..####.#.##..#..##...#...###...##.###.#.....#..####.#...####..#..##.##....#######..###.######.#..###.#.#.#....####..###.##.###.#...##.###.###.....#.#.#.##.##.##...#.##.###.##.###..#.#...#.#.#..##.#.###.#.#.##..###....###..#.######.#.....##.#...##.#..###.....#...#....###.##..#...###..#...#..##.#.####..##..#####..#..##.#.#.###.####.##########..###...#..#.......###.#.##...##....####.##.........#..#.#.#.##....###.#..#.####..#..####..##.##......#...
.#.##.......##...#..####.#...#...##..#.#..#.....###...##..#.#..#....#.#.##..#.###.##..###....#...#.#......#.#.#.#.###.....#####.##.......#.#######..##.##.#.#.#....#.#..#.#....#...##....####.##..#.#.#####..#.#.#.#..#..#####.........###.....#.###.#.#.#####.#.#..#...###.#....##.#....#.....##..###.#......#.##.#####....#.#.##.##.##..#......#..####.#.##..#.##...#.##.#.#...####...##.#.#.......#.#.###.###..#.#.#.#.##.##.#..###..#..#..#.#..##..###...#######.....####.....#..#.##.........###.....#.##.....#
.#..#.####.#.##.....#.##.##.####.#..#..###.##.#######.#.#.#...###.###....##..##.#..##...###.##.#.#...###.......#.##....#...####.####.######.#.###.##.####..##.#.###..##..#..##..######..##...#.#.....#....#########..##..#.#..#..#.#####...#....##.#.##.##.##.#...##.##.#..#.########.####.##...###..##..#........#.##.#.#####...##...##.#..#.##.##..##..###.####.#.......##.#########....###.#..##...###.#.###..##.#.##......##.#.....#..##.#.#....#.###.#..#..###.###...#..##...#####.####....#.#.##..##.....##.#.
.############.#.##...###..#.#.#####..###.#.#..##..#..##.#.##.#...#.#.##.###.#.#.##.#..##.....#...##.####...##...##..##...####.####.##...###....###...####.##.#..#.###..##.#####...###.##..##..###.#.#.....##.#.#.##.#.##.#..#.##..#......##.#..#..#.#####..#..##.#.##..##...######.#...##.#..#.##.###..#.##...###..#.....#...#...#.#.##...#.#...#.#.###...#.#..###.#...#...##.##.#.#.#######....##.##...#.#....#...#....#.###...#.##.##.#.......#.#.#....#....#.#.##.#..###.#.#.##.....##.....##.###.#.#.###.##.##..
.####..#...#.#.#.######.##...##.#.##.......#..##...#.####..#######...#.##.###.#.#..##.#.##...#..#.#..#.##.###.#....##..#.########.#####.....#.#.#.#....#..#.#.#....##..#.#.#...##.#.####.##.#.#####..##....##.#.##.#.#.##.#..###...#..#.#.#...#..###..####........#.###.#.###.##...######....#.#.##..##.#####.....#...##...####..##...#....#.#...#..#.##.......#..#........##.#.##...#.#.#.#.#######.#....#.#####..####..#.####..##.###.####.##...#.##....#.#..#.#...##.###..#.####.##...#####.#..#.#...#...####..##
..###.#####..####.##.##...#.####.#..#..#....#...####.##..##..######.####...#..#..#.#..##.#.##.#....####..##.##.#.######....###.###..#.###...#.##....###.#.####...###.##......##..####.#..#..#.#.#..####.##..#.###.#########..#.###..#....#.#.#.###....##.#.##.##..#.#.##..#.#.##.##....#...#..######.....#....###..#...#.#..##.#....#.....#.######.##.#.#.##.####...#.....#..##..#....#.##....#.#.#..#..#...#.#..#..#..###.#........#..##.#........###.##.##.#.##...##.##..##...#.#.#..###...###.#.######.###...####
.##.##..#.##....#..#.##.#...#.##..#.....##..#####..###.#.#..##...##.#.#..##.....####.#.##.#.###.####..#..##..#######..##.#.#.#.#.##.##..##...##.......#.##.###........##..#....###.#..#.####.##.#.###..#.#####..##.#.###.##.#..#.#.#.##..#...##.##.........#..#.#..#..###..###.##....##.............#......#.#####..###.#.#...#.....#.........###..##.##..#....#####.######..#.###.###..#.###.##.###.#.###.##.##...###.##..##..###.##...#.##########....###....#..##.#.#.#####..##.#.##..#.....#...##..#.##.###..###
####..#..#...#.#...#######.#...###..######..#.######.#.#.####.###..#..##.#..#..########.####..####.#....#..###.##.####.#.#.##.#....#..#..####..##..###.#.########.#..#####.#.##.#...#.#.###.#######.##.##.#..#.#...###..##..#........#.#.###.....#.#..###....#..##..#.......###..#.#..#.#.########..##..##.##..#..#.##..#.###.#..#..##.##....#.##.#..#.#..#.#.##.....#.###.#...#.....####....####.##.####.##....#..####.##....#..........#.#.#.#.#.#..###..##...###.#.#.###.#.#.##.##.###..##..###..#.#.#.#.###.####
.#....####..##.##.#..###..##.##..##..######..#.###....#.##..###...###.##.##...##....#.#.#....##.###..##.##...##.###.####.##.#.##.#.#####.##.#.#.###..##.###.##..####..#########..#####......####.#.#..#.....#..#......##...#.#...#...#.##.....##..##.##.##...####.#...###..###.#.#..###.#.#..#.#.....#.#..####.##.#.#..###.#...#....#..#..#..#.#....###....#.###.#.###.....###.....#......####.###.##.....#.####.##...#####.####..#.#..##..###.###..##..#####.#.##..##.#..##.##...#.#...#.#####..###...##.#.#....##.
#....##..###.#.#....#..#.#.....#.....####.####.###......##.#.########.###.#.##.#.###.#.......####....#..###..#..##.#..##.#.####.##...#.#..#....###..##...###.###....#.#..###.#.####.#.##..##.....#..##....#..........####.##....##..#..##..#.#..##..#.#.##...#.##.#.###..#..#....##..##...#...#...##....####..#.#.##...#######.#...###..##..##.#....#..##.#######.###..#.###...##.#.######.##...#.##..##...####..##......##...##...#####.....#.#####....###.##.##.#...#.###.##...##...#.##.##.##.#.#.#..##.#....####
.#....#...#.#...###.#.##.#.#.##.#...###.....#..##.##.....##.....###.##..#.###.#.#....###...#.###..##.....#..#####.#..#.###..##.#....#.####....###.##..#####.#.##...#....#..#..#.....#######.#.....###......####.#..#.##...##.####.##.#.####..###.......#.###...#......##.#..###.##.##.##.#..######.##..#..##.#.###...#.##..#...##...##.#..##..#......##.##.###.##...#..###.#.#.#.#.#....#.##.###...##..########.##..#.##....###...###..####.#####.#.#....#.#####.#..#.#.###########.##.##.##.##..#.#..#..#.#..#.##..
##.##..###..######.#.#.##..##..#.#....###..#.##.###.###.####.....####..#..#.#..#....##..#..#.#####...#...#.#...#.##.....##.#.#####.#######.#.#.#.#######..#.#....#...#.#....###.....##..##.##.###.##..##..##...#.##...#.#.##.#.#.##..#....####..###.####..##.#.#..##.#.##.#####...#.######....#..##.#..#.###.#.#.##...###......#..####..#..##...#..#.#.##.##.#.##.#.##....#...#.#...##.###.####.##.#.#######..#####.#.......##.####.#..#.....##..#.#.##.####..##.##..####..#...##..##...##..#.###..#.#.##..#..#.#...
..###.####...#...#...#.#..##..#########..####...#...##.###.#..#.####...##..##..#......####.#.#.#.#..#..#.#.###.#.#.#####.#..#..#.#..##.#.#...###.#######.##.#.##..#.##..####...#..#.##.#.#.#..####.#..##.####.#....#..#...##.....#...#.#.#.....#######.##.#.#.##....#...##.##.#.#.#..##..#...#.#.####..####.##.#####.#.###.#.##.#.####....#.#.##.##.###.#..###.####..#..#.##.#....#..#.##.##.#..##.##..#..##.#####.#..##.#..##..##...###..#.##...#.##..###.##.#...#.#.##.##..#.###.#...##.#.######..#.##..#...#..#..
.......##.####.##..##.#.......##.###.#####...##.#..#####.#..#.#..#..#.#...#.......#..##..###.#.#.#.##..#..###..#####..#########....####.##..####.##.###..#....##.###.#.#...##...#.####...###.#.#.###.###....#..####.###.#.######.##.#.##....#..########.#.#..#.##...#.##...#...#.####.#.#.###...#####..#...##.###.#..#.##.#.#..#..#####..#...##.##......#.##.#...##..#.#####..#.##..#..######.#.#..###...#.###.##.###..##....#.....#..###.#...##.#...###.###...###.##.##.#..##.##..#....#..#..#......#.##.###.##.#.#
##.###...##.#...#.###..##.###......##.#######.....#...#...##.####.###...#.########....##...#.##..#..#.#.#.##.######.####..###.##.##.#....##.##.#.#.###.###..#....#.##.####..#.####.#..#.#....###....#.##.###.#...#.##..##.##..#.#....#..####...###.#.#.....#.###..##...#..#..##.#.#........#.#.##.##.#.##..#....##.#.##....#....#..#...##..##.#..#..###..###...#.#.###.#..#.###...##..##....##.#..#######.###....##.###...#.##.##.##.###.#.#.##...#.#...#.##....###..#.##...#.#.##...#.#..#..##.......#.##.#.....#.#
.#.....#...#..##.#.##.#...##...##...#...#.##.###....##.#####..#.##.#..##.#.####.#.....#.#....##.########.###.##..##.#.##.#...#.###...####..#...#....##.#..###....###.##.####.##..#..#...#....##..###.####..##.#.####...###.....####...##..#.#...#..#.#.#.#.#.#.##....##.##..#.#.....#...##..###...#.#..#....##.#.###.#.###.....#.##.#..##.#..#.####.##.##....####..#.#...#####.#...##.####..#.####.#.#.#####.##.####.#...##.#..#..##..#...##.#.#.#....#.##.###..#.#.#.###.#.#....###...##.#########.....#.##.#...#.#
.##.#.###..#..##.#...##.###.#.####.####...##.#.###.###.##.####....##..##.##.#...###.##..#.......#...#..#...###..#..###.....##.....#..#...#.#.#.#..##..#.#.##.##..#..##..#...#....###....#..####.####..#.###..##..#....#........#.##.####.#####.#.##..###..#..##..#.##...####..####.###.#..#.######.##..##..#..#..#.######...##.....########..#...##...##..###.####.#..#.##..##...#.####..##..###.#.#.#..#..#...##.#..........#...#.####...#.#....#.#######.#..#....#...#.#....##.#...###.#..##.##..#....#####.....#.
#..###.####.#....######.#..#.#...#.####..#..#.#...###...#..##.###..###.#.####.###.#######.##.##...#.###.###....####..#..##.###.#.##....###.#.#.#.##.....##.##...####.#..#....######..####.###..#.##.#.####.#....######...#...#..#####...##.#..#.#..####.#.##....##..#..#.#.##.#.#.#.#.####.#..#.########...##..###.##.#####.#...##.####.#..##.###.#....####....#.###....#########....###.####.......##..#...##.####.#.#..##.#####.#.#.####...###.....##..#.####.##.###.#..#....#....#...#.#.#####.###.###.#.#.#.#.##
.....#.####.###..##.####.###...#.#...###...##...#..####.##.....##.###.##.#.#.#...####..#.####.##.#.#..###....#.##..####..#.#..##.##..###.#..#..#.####...#.#...###.#..#..##..#...#..####.####.####.###.#..#.#...#...#####....##.#.######.###..#..#.#..#..###.#...#.##.#.....#...#####..#...##..#..##.##....##.#.#.#.#.#.#.....##.##.##.#..####..####..#...#...###.####...###########.#.#.#...###.##..#####....#...##.##.##.#.##.##..#.##....###....#.#######..##..###.#.#..##.###.#.##.#.##.#.#.#..###..##..###.....#
.#.########.....#.#...#.##....#....###.#..#.........####.#....###.....##.###.#####.#.##.#.####...#.####.#.#####.......###..#.#.##..##.#.#...#.#.#....#.#.#....#####...#.##.##...#...##....#....######.##...##....#....###.##..##.##......#.##...#.##..#..######..#####......####.#.###.#..###..##..#...##.#.#.#..#..##..##.#.##..#.#.#..###.##...###.#.#.##.......##.######...#..##......####...#..#.#..##.....#...######.###.#######.#.#........####..###.##..###..#..###..#.##..#######.####.#..##.#.##....##.#..#
.#.#######.#.....##...##...#.#.#..##.##..#..#...##....####.###.##.#.#.##...#.##.#.###....##.##.#.###..##...#.####.#.#.##........#######.##...####..#.###...###.#.#.####...##.###.#.####.#.#..#####.#....#.###.##...#..#.##..#######.#..#####......#..##.###.####.###.#...##.#.##...##..##..####.##.#####.#...#...#.##..##.#.####.#.#..##.#.#..#..............##..#..##.........##.....##..#..#...#.#####....#..#.#.##.#####.##.....#####...##..###.#.#.##.#..#....#.###.#......#...#.####..#.####.....##.######...##
###...#.#####..####.###....####.####.#.##.###...##.#...#.##.##..###..#.####.#..#.##.#.##....##.....#..##...#..#.###.....#.#.#####...####.#.....##....#.##.########..#...#####.##.......##.#.##..#..#..#.##.#...#.#.#..####.##...##..#.#.#.##.#..#..#.#####.###.#.#.....#.#...#..###..##......###.##..#.#..#.#.###....#..##..###...#..#...##..#..#.#..##....#.###..##...#.#######.#..#....#..##....#......#######.#..#.#.#.#.#..###..#.######.#.#..###.#####...#.#..##.#...#.#..#.##.#.####.###....#..#..#..##.###...
#....#.#.#.#..##.##..#.###..##.#######......#####..###..##...###.##.#...#..##.####.#..#.#####.#...##.########.##..#.#.##.#.###..####.########..##.##.#..##..#...##..#.##..#...#.....#.###.#.#.#..#.#....#...#..#.#......####.....#.####.##.##.#.....#...#.##..#....##.#####.#....#.#....##..####..#..##.#.....##....#..#.#.#...##......##...#..#..##..##...#...##.#.#....#........####..##.##.#####.#........#.#.##...#.#..#.##..#.#.###.##......##..##.####.#.##..#..##........#....#...####...#...#..#.#....#..#.#
.#.#..##..#.####.#.######..#..###.#..#.##.#####.#.#..#..##.#...#.#..#.#.#.#..##.##.#.#####..###...#...##...##.#####..##...####.#.#.....##.#.#.##...##.#..#...#.#.#.#...####.###....##...#.......######..##.##.#######..#.#.##.....#.###..##.#.##...#..####.####.#..........#..#.###.##.#.#..#.##.##.#.##.##..##.#.#...####.#.###.....#..#.##..#.#####....##.#..#######...#.#.#.#.#..##.#.#..#.....#..#.##...#...####..#.##.#.##.##..########..#..####.##.##...#..#.#..#####.#.#.#######.##......###..###..###.######
.####..#..#....###.#...#####.......###..#...##......#.##.#..##...#.##...#.####.#.#####.#.###.##..##..###....#.#.##.#.##.#.......#####.###.#.#.##.#.#..####...#####..###.#......######...#.##.#.##.####.#.#.#####..#.####...#...#.#####.###.#.##..##..##..#..##......#.####.##...#.##.##.###..#..#.#.#.....#..#.#.#.#.....#...###..#..###..#..#.###.##.#...####.##..##.#.######.######.#...#....#..#...#.#.#.#####.#######.#.#.#.#.###...#.######.####.#.#.##..######..#.#.##..#.#..#...##.#.#..##.##.###.####.####..
.####..#.####..#.#.#.##..####.####..#.#####..#.##..#........##.##.#..####.##....####.###.....####.###.#.###.#..##.####....#.###..######..#.#...####....#####..##.#####..#.#..#.#.#..#...##..####.###.###..##..#.####.####.#.#.##..##...##.#.....#.#..#####..#.###.#.##...####.#.##........#######.....#.###..#####..#...#..#.....#.#..#...###...#.##......##.#.###.######.##....#.####..##..#.....#.#######.#..#..#...###..#.###.#.#.#.##.#......#######..#..#.#.#####..#..####.##.##.#.#####.####......###.#.##....
.#..#.#.####.###...##.#..#....#...##.#.#...###..#....####..#####..##.#.##.....######.######.#.#....#.##..##.###..#.#####...#..##.#.####.#....##...#...###.#.#....#.###...#.###...#.##..........#....##..###..####..##.#...#.#..#....#.#.#.#...#.....##..####.#.....###..###.###....#####..####.#.#.#.##..#.##.#..#.######.#..##.#...##..##...#.#####.#####.##...#.#.#.#...#.#.##..#..##..##.#.##.#...#.##.###.#.#....###..###.#.###..#.##.###.##...#..#.##.......#.#...#...#....#....#.#......##.###....#.#..#.#.##.
.#....#..#.###.....#......###.#.#.#.####.#.##.##.##.##.#...#.#...##..####........#####.#.##.##..###..........##..#...#...##.##.##..#.##..#.####...##.##...##.##....##.#.#.###.##...#.#.#.#.#..#.###.###..#.###...#.......##...#.##.######.########.#...##.####..#.#.#...#.#.#..##.##...##...######..#####..#.#.##.#..##.###.###............###.#...#..###.#####.....###...#.#.#.###..#...#..#..#.....#.####.##..#.....##..#..#.###....#.##.##..#.##.#######.##.#.########.#.##.#.###.......#.##..##.##....######.##.
.#....#..###...###...##..##.#.##.....##..#.#.##.##.##..#..#.#.#.###.##.####....#.....#.###...#..#....#..####..##..#......#...#........#####..##.##....###.######..#.#.#.##...####.#....#.##..#.##.####..##...#..#..##.#.####.##..##......#.#.#.........#.##...###########.#.#.#.#.##....#.....#########..#..####.#.#.###....#.#####...#...#########.###...######.##..##..#.#.#.#.#....#...#...#####.##...####..###.#.##..#..##....##.#.#....#.#.#.#..##.##.#.#..##.#..#..##.#.##.#....####.#.##.##.###.##.##..###.##
#.##.#...#.##...##.#..#.....##.#..###.##........##...#.###.#...#.##.###..##.##.####..##.#.###....##.######..####...#..##.##.###..#.######.#####.#..#...##.##.####.##.#...#.##...#.#...####..#..####.##.######.###..##.##.#.##.##...#.###....#..##..##.#.##.##.#....#.#.###....##....#.#......#.###.##.....##.#####...####...#####.##.###.#.#####..#....#.###...##.#..#..####.###.##..#......#...##...###....#..#..#.......#...##...######..##.#.##.#.###...#.#.##.#.#.##..##.##.#..#.....##...#.....##.#.#..#.######
#...#..####.##..#.##.#.##.....###.....#..#.#####.#.####.#.#...#.##..#.##.###.#.#..##.#..##.###......###...######.#....#.#.##.#....#..#.##..#...##.##.....####.###.##..#.#....##..#.....##.###.#..#.#..#......###.###.#.######..##.#...###.##.#######..#.#..##.....#.#.#...##.##..###..##.###.####.....##.##.##..###....##......##.##..#.........###...#.##..#.##...##..#...#.#.#..#.####...#.##.##.#.#..###..###.....#..####..#....#.##..#..#...###..###..#.###....##.##.##.#.##...##....#.##.##....##.......######.
.......##...#.#...#.##.#.#.#.####.##.##.##.#.#...#..#####.#.#..##...###..#.####....#.......#.###.##########.########..#.#.####.###.#.##..#.#...#.#..##...#.##....#.#...#..#.#.####.##..#.##...#######.###.#..#.##.##.....###..###.##.....###.....###.#.#..##.####....####.########.#.##...#.##.##.##.#..#.###.#.#.#....#..###.#.##.#.###.##......##.#..##.###.#.##.######....#...##..#..##.##..##....#.##.####..#...##.###.#.#####.#..#.########...##..###..#..##.###.###....##..#####..#.##...#...######..#..##.#..
...##.####...##.#...######...#.########....#.#.#...#..###...#.#.#..##.#......##..#..######....#.#..#..#...###...##.##.#..#.##..###.##..####...##.##.##.##.#.#..#...#...##.#######.#.#..###.##.###.##..###..##..###..##..#.#..#..##.###.##........#.#.......##.#.###..##.........#...###.....###....#.#.#.##.#..#..####.#..##..#.#.##...#..#.#..#.##...#.##.#..######.##.#.#..#..#.##..#.#.##..##..#.###.#####..####.##.###..#.......###.#...#.#.#####.#.##.##.###..##....##..###..##.##..#.#.#..#.##.#####...#.###..
#..##..........#...#.##..###..#.#.#.#.#.....#..##...##..#..#.#.##.##.#####.###......######...####.....##.........###.#...#...######.....###.##..##..##..##.##..#.##.#....###..#.#...##..##.#..#....#.#.#......#..#...#...##...##..#.#.....##...##...###...####.##..###.####...##..#..#.##.......#....###.#...#.##.#####.##..#.#......#...#..##..#.##..#.##..#..#..####..#....##..#.#..#.#.##.####.####..#####.#.......#####.#..#...#.##.......#..#..#.##.##..##.#####.##..#.#...#.##.#.##.##.#....#.#.#.#####.......
.####..#.####.#.##..###.##.#....#..#.##....##..####.#.#...#..###..#######.###......#..#...#..##..#.##.##......#.#.#......##...###......#.###....####.#.###...####..#...#.#..####.#####.###..#####..#.#.##.#..##..##.#..##..#..##.#.#.#....#..#.#...#..#...###.##.#######.#...###..#.#.###.#.....##..#....#.#.#.#.###......####..#..###...##...##.#.#.#.##.###.................##.#....####..#.#.#.##.##...####...##..#######.##....#.##..#.#....#...##.##.#..#..#.#..#.####..#.....#.#.#.#..#..##...###.....##.#....
#..#....#..#.##.###.....#.#.#.#..####.#..##.#.###.#......##.########...###...#....#.#.....##...#...#####..#.#.#...#.####.##.##.#....#..###...##...#..#####.....########..#.##..###..#..##...#..#####.###.#####.#.#######..#.###.....##.#########...###.##...#..#.#########.###...#.#.##..####.#.####.#.........###...#######..#..#.##.#..######.#...#.#######...#.#...#.#.##.##..#.#.#...#..#..#.###...#...##..#.##.#####.#.##.#...#...#.####...#.##..########..##.###..###.##...#....#.#.########.#.#.#.#...##.....
#.#####.###.#...###...........##..#.#..##.#.###.#..#...###.#...#.###.####..###.....##.#.###.#..#####..#.###..###...#.#..###..#.#...#..##.#######...##...#..#.######.##.#...##..#.##...###..##..#####.##..#..##.##.#.##..#....##...##......###.##.#.###.#.#..#..##..#...##.......##.##....#...##.#####......#..#.#....###.#...####.######.#.#.###..####..#......#...#..#..#...#....#.#..##....#.....##...........#.#.###..#.#.#.##.##.###...........##.#.#####...####...##.#.#..#...##...#....#....##.....#...#.##...
##.#.###.#.#.##.....###.###.#...#......#........#....####...#.###..#...###..##.#....#.....#.###...######..#..#####.#.##.#.#.###..###.#########...#...##.#####.####...#####...#.###..#.####.##.....#..#.#..#....####.#.#..#.#...###.####...#..###..#...#.#.##.##...##########.####.#..#....#......##..##..#...##..#...####.##.##.#.#..###.##.#....###..##..#..#..#....#......##..###.#....##.###...#.#..#.#....#######...##...#####...##..##.#.##...#.##.#..#.....#..##.#.####.#..#.#.##.#..##.##...##..##.#....#####
##.#.##.#..###....#.##.#.####..###..#.#..#...#..#..######.##.##...###.#####.###.#.#..#.##..#...####......#.###.#.#.#.#..##.#...#.#.#.#.###...######.#...##.###.#...##.##..###.#.#....#..####..#.#...#....#..#..##...#.####.##..#.....#.#..####...#.....#....#.##.....####.###.##..####.#...##..#....#....#..#.######..##.#.#.#####..#...##.#........#####..#.#.#.#...#..#.#..#..###.#..###..##.#.##.#..#..#.####..##....#..##.###.#.#.###...##.#.#.#...####..#.#...###.##.#...##...###.##..#....#......#.#.#.#..#...
.#.#.......#........####.####..##.##........#..#..#.###.#.#..#..####......#..#.......#...#..##.....#..#...###.#.##.#######...###..#.##..####.#..#.#.##.##.#.##.#.#.##..#.###.##.#..##...#####.####..#.#.#.##.....##.#....####.....#.##.#.#...#..###.#...####..##..#....##.#..#....#.#..###..##.#.##.......###..#.###...#..#.######.#.###...#.#..#.#.##........#.##...#..##.#..#...#.#.#.#.#.###..##.#..########...###..##...#....#..##..#####..#.#..#..##.......#..###....##.####.###.###.#.#.##.###.#.......#.####.
#.#.###.#.####.#.##.#.####..##.#.#..#...###...#####.####.......##...##.#.#..#.##.#.##.#.####....#.....##.##..#.##...#...##..##..####.##.###...#.##.##.#.#....#.#....#.##.....##.##..#...####.......#.#..#.###....####.#..#....###....#.##...#..#####..#..#..#..#.#.#####.#.#.###..#..#.##......#.####.###.#..####..#.##.###..#.#.....##.#..####...#.#######.##......####..#.##.###.##..##..##.##.#.#....#####.##...#....#.###..##.#.#...###...#.##.##.###########...#.##.#.#..#####.#####.####.#.#.#..#.##..###.##.#
#######...#####.###.....####..###.#...#..#...#..###.#.###.......#..####.###.#...#...##..#.##....####.#...##.......#.##.......##..##........######..#.#.#..#.#..#.##.##....###.....###..#...#..........#..####...##.#..#..#..#...#....#.#####..#..###...#.#...##.##...##.##....#..###..#.#.#...#.#.#..#.#####..#####...####..##.#.###.#.....#.#.#...##..#.####...###......###..###.#..#..#..##.##...#....##.#...#......###.##.#.#..#...##.#.#.###.##########....#..#####...###.#..####......#.#..##...##..#..##.##...
###.####..##..#...####.#...#.#.#.#.#.####..##.##..#..###..##.#.###..#.####.####..##.###...###.#.###.#..##.....###..###..#..#...............##..#..###..#....##...##.#.#.#.####.###...#.#######.....#....####.###.......#######...#...##...##.###.#.#..####...#..####.#.##.#####...###..#....#.#.###.####.##.##.#.##...###.#.......##.##.#..####..###......##.##.###.#.###.#.#..####.#.#...#..#.##....#.#...#.###.##.....###..#.###..##..#...##...#.##.....#####..#..#.##..#.##....##.#.#..###.#######.##.##..#.#....
..##.#....##...#...#####....#.###..##...##..#....##.....##.###...######.#.####.#..##.....###.##.#.#.....#.###..#...#.#####.##..#.#..#.#..#.#......###.####.###.#...##.###..#####...#######...##...#.#..#..##...#.###.......#..#.#....####.#.....#...#.....#....##.#.#......####.##..#.#.#.#.##.####..#####...#..#.........##.#....###..##.#...#.####......####.......#.####.###...##.#.###.#....#..#......#.###.....##.#.#..##..#...##.######..##.###..#.#.#.#..#.#.####.......#.#......##.#..#.....#.###.######...#
#...#....####.#...#.#.#.##.#.#..#####...####.#.##.#######.............#.####.##.######..#...###....##.#####...#.##...#.#.#..#.####.###..#.##.####..####.##.##..........###.###..####.#..#.###...##.#.###..#......#....#.######..#.#..##..#.#...#######..#.##.#..#.###.##..#.##.##..#.##...###..#..#.#.###.#.#..#..#.######.##..#..#.#.###.....#.#..#....#.###.#.#####.###.########...#..#..##....#...##....#.#..#..#.###..#....#####.#.##...##..##.#..#...#..####..#######.....##.#..####...##.###....#.#...#..####.
#..#.#..#.#.#..##.#..#.#..#........#..#.##.#.#.###....#..#...###..###.#..##..####.###...####.#.#####.####.#.#...#..####.#.##...#.###...#.##.#.##..#..####...#..######..#...####..###.#....###.##.#..#.##.#.......##..##....##.#.#.##...#####..#.#.######.#####.##..###.....##..#..##.....#..##.#..#.#.##.#...######..#.##.###.##....#####.###...###..#.....###..#.###..#.#.....#..##..####.#....#.#.#.#...###..#..###.#..##..#####......##....###..##.###.##..........#.####..#.......##...#.#.....#..#..#.....##.#.
....#..##.#..#..####.#.##......#.#.#.....#..##..#.###.#..#.#..#.##..###...##.#..#.####..#.#.#.#...#.#.####.##.##.###..##..#.#.#.#........#.####.##....##..#.#..###.##.#..#.#......###.##....#.#.##.##..##..###.#.##.###########...#..##.##..#.#.#....##....#..#.##..#.###.##.#..#####..###....##.###..........#....##...###.#..##.##...###...##...#..######..####.##.###.#.##..##...#...#.#.#...#.###.....#####.#.#..########..#.#..##.#..#######...#.##.##..#.##..###...##.#.##.#.##..#.####.###..#.#...#.###...#.#
#...#.##....###...##..#.##########..#.#..#..#.#.#..#..#..#.#.###.#..#.#...#.#..##.##.##.#..#..#..##.##.##..##.....#####.##.#.#.##..#.#..##..###.##.#.#.#.#####.#.#.#....#..###..###.#######.#.#...#..#..#.####..#...#.#...#.#.##...#...###...####..###.#........#.#.....#.#.#....##.##...##.###.###.#.#....#...#..####...#.#.#...#.##..#####....##...#.#####...##...###..#..#..#####..##.#....#.#..###..#..####.####....#.###....#.#..#...####.#..#####.##.#..##.###..##.#.#..#.#..#.##.#.#....##.##..####..##.###.#
#...#........#..#####....#.#..#...##..#..#.#...##....#.##...#.##..#..#..##..#...###..#..#.#.....#.#.#..#.##.#...###...##...#..###.#.###.#.#...#...######..###...#..#####..#.#.#....##.#.###..##..##....####.....###..#.##..#...###..#....##......######..#...#.......#...##...#.##..##..##..#.####.#..#....#######.#######.#..#.#.#.#...####...#.#...#......#.#.##.#.#.#...##.##.##....#######.##..######..###.##.#...##.##....#.#..##.#.#.###..###.#...#.######....##.....###.######.......##.##.#...#.S###.#.##...
##.##....#..##..##..#.....####.#########.###..##.#######...#..#..#..##..#.#####..#.#..#..#...#...#..##.#.##.##..#.#....#.#...##.#.###.#.#.....#####.##.###....#.#...##.#..####.#...###.....#####...#..###.#.#..#...#........#.##...#.##..####.##.#.#.###...#.######....#.#####..#..#####...###...#.####.....##...####.##.##..#..##..#..##.###...#.##..##..#..#####..#..#.#..##..##.#...###..##.##.####..##...#####.##.#####..#.#..###.#..##.#.######...######.##......#..##.##.###..#.#.#.###..#####..######.#....##
##...#.####.#....##.##....##.#.#..###.#.#.##......##..#.#...##.#.#.#..##.###..#.#..#.#...##.#.##.#........#...##...#.#...#.###....##....#..#.###....#..#.##.#....#.#.####....##.#.#..##..#.#..##..###...#..#...#.##....##....#..###..#...#....#.##.........##....###..###..#..###.###.#.#....#.....####.#.#..###########.#.#..#.#####..#.##.#...##.#.###...####.##.###.#.#.#.#.##.####......#.#####...#.#..####.#.#.#.###....#.###..##.##.#.#..#..###.##.#..####.#..#...#.#######..###...#..#.#.##....#.##...#..#..#
#.#.#.###.#.###....#..####.####..###.#.#.#.#.###.#.#..####...#..#####.#..#.....#..###..####...##.....#..#..##..#.##.....####.#.#.....##..#.#..####.#.##.#..#.##.#.###.##.#.#..##.#..###.#.#.##....#.#.##.#..##.#......##...###...#.#..#.#.....###..######.#.#..#.#.#....#.####....#...#..##.....#.#..#.#.##.#..#...#.###.#..#######.#..#.##.###..#..#....#.####.###...###.##.##.###.#...#..#..##.######.#.#.#####....#..#..#.##.##..#.#.##..##.#.##.....####..###..###.#....##.#.####.##.#####..##.#.##..#.#...###.#
.#.##...####.##...#......#.#..###.#.##.#.##.#.##.....#..#..##..##.#.#...#..#.#....#..#.###..#...#..##...###..#.#...#....#....##.#.##....#.#..#.#.#...#.###.##.####.#.#....#....#.##..#.#.#.####.##.#..####.##.##.#..#.#..#.##...###......#.#..#.#...#..##.#.....##..##.#..#.#..####.##...#...#.##....#.###..###.##...##.###.#.#...#####.####..##..####.#.....#.#####...########.####..###...#...#.#.#######.#.###.#.#..###.##...####..#..######.....#...####....#...#..#..#....##...##.#.#.##.#.#..#.#..##...###..##
....#..##.#....##...###.#..#.###.#.#.#..#...#.##...#....#.#.#..###..###.#.###.#.#.#######.#.#..#..#.##...##.##......#######.##.######...####..#...##...####..###.#..#.##.....#.##....#.#..#.#.....###.#...#..#...#..###..#..#.#...#..#.##.###.....##..#........#.##.#..#..#.##...#.####...#.##...#.#####..##...##.##....#.#...#..####..##.###.#.##.#.#.#.###...###....###...##.#.###..#..##....#.#.###....#####....#.###..#......##.#.#......#..###..#####.#..#..#.#..#...#.#.#.###...##..#####......#######.##....#
#..#..##.#.#..###...#.##.###...#.#.#.#...#####......##...#####...##..#..#...#..##.#.....##...###.......#.#...#..#.##.#.#.###.#.#..#.###.#####.#.#.###.##..#.###.##..#.##.#.#..##.##....#.#####...#.###.#..####.#.....#.#...##...#..#.#.##.####.#.....##..##.###.##.#.#..#.#.#.......###.#..#....##....###.##....###.###...#...##..##..#.##..##.###.#..####.##.##..#...#..#......###.##.##.###.#.#####..###.#......##...#.#...#....#.#.###..#..#.##.##....###.##.#.#.##..##.##..#....##.#...#...........##.#..##.#...
...#..##..#.##.#.#####......###......#.###..###.#..##..####..########..#...#....###.#.#######..##.###.######..#..#.##.#.##....#.#.#####.#.##...#..###....##.#..##.#.######..#...###.#...#...##....#.#..##.#...##.....#.#.##..#.#.......#..####.##....##.#.###....#.####..#.##.##..##.##...###....##..#.#...#.#.....#...#.#..#..#..#...##..###.##.....#..#....###.#.##.#..#.#....####..#.......#.##.##..#..##.#...####.##..##..##.##.##.#.#.#.........#.....##.#######...####...##..#.#.#..#.###..#.#.#.#####.###.#.#
....##..#...##....##.#.####.##....####...#....###.#.#..#.###.#..#......#.##.#...###...#.##.##.#.##.###..#.###..##..#....#.##.#.#.#..##..##......###.....###.#...###.#...#..##...#..#......##..##.#....#.##.#..###.#...##..#...#......#.####..#..#...#.##.####.###.##.#.#.####..######.#.#.##..##.##.#..#....#...##..#..##..#.##....##.#......#.##.#.#.######.#..##.##.#.#.#...####.#.###.##...#####.....##.#.####.####..#.###...##...#########...##.#..##...#.##..##..#..#.#.#.##..###...#...##..##.#####...###.####
#........#...###..#....####...#..###.#.##..#...#.##...###..##...#..#####.##.##.#.##.##..##....#...#.....##.#...##.#...#.....#.###.##.#.##......#...##.##..##..###.#.#..#.#.##.###..#..#.###.#..#.##..#.#.###..#..#####...#..#.##.###..##..##....###.#.#.#..#......##..#.#####...#..#....##.#.#..##.###.#.#.#...###.###.#.####.#....#.#....#..#.#.##.#..##....##.#.....#####...##.##.#..#..#..###.#..####..##.#.#..#####.#.#..##.#.##.#..#.......##.....##..###.#####.#.#.####.##.....#.#...#.#######.#..##.#.###.#.#
...######.#....#.##.#..#...##...#.##..#.#..##....##..#.#...##...#..##...######.#####.#.#.##.###.##.#.#.#.....##..#..#...#...#......##...##..##.###.##########...#.#######...###...##..#....#...##.####..##..#..####.#.##..##.#.#.######..#######....#.##.####.#.....##.##.#.#.###..#.###.#####..#.##...##.##.###...##..###..##....####.###.#####..###..##....##.#...####.#####.#.#.###..#..##.#.#.#..##..######...####..###...#...##......##.###.......####.#####...####.#......##.##...#..#..#....#..#....#.##.#...
.#####.#.....##..####...####.......##.##.#..#..##...###...#.#...#.#..#...##.####..##..##..###...#....#.#######..#..#####.#..##..#####.#.###..###..#####..#..###.#........#......######.##.####...#....##..#.##.#.#.###.#..###..#.......##....##.#####....#.....###..###..#..#..#.##.########..#......##.#...#..##.#.##.#..######.#.#####...#....###.#.#..#.####.##..##.###.##.#..#####...##.##....###.#.##.#..##..#..###.##..#..#.....###...######...#..###...#.#...##.###.#.##.......##.##.#..#..##.#..#....###....
.##......###.#...#..##..#...#..#.##.##.###.###.#....#.#..##...#...###.#....###.####.#......#..#.####.####.#..#....#..###..#.###..###..###..##...##...#.#.....###..#....#######..##.##..###.#.#..#.#.#.##...##.#.#.....#...###..####...##.##..##.......##..#..####.##..##.#.##.#..#...#..##.##..##.##.####.##..#.#.#.#.#..###....####.###.#.#.##.#.######....#####.....######.#.#.###.###.##.#.#...##...#..#.####..#.##..####.#.#..##..#...##.#..#.##.#.###.#..#.#...#.##...#....####.#..#..#####.#.#.#..#...###.....
..####....#.#...#.#...#....###.##...###.##.###.#.....##..#.#.###.##.#.#..#...##.#.#.#.......###..#.##..##....#.#.######.#..##....#....##..#..#.#.#..#.##.#####...#.###.#.#..###......#......######....#.....##..####..#..#...#.#..##.#..##...#...#....#.....###.##.....#.#.#..##......#####.###...###.....#..##.####.#...#..####.#....#.#..####.#..#######...##.#..#..###....##.#.#...#....#####..####.#######.#.###..######.#..##.##...#..######.#.....#.##.#..##........#...##..#..#####....#.#......#.#.##..##...
.##.#.###.###.###.###...###.###..#.###..#....#..##.#.......##...#.##.###.##.....#.######.###.#.#.#..#.###.#.#.#.#.###.#.##.#...##...#.........#.#####.####...####...##..##.#.......###...#..#..###..##.##.###.##.##.##..###..#.......#.#.#.....####.#.#......##.#.#.#......#.......###.####...#..##..######.#.##.#..##.##.###..#.##..#.#.##.#######....#..#.....#.###.##....##..#.#.#####..#....#..#...#...#..##......##.##.#.###..####.#...#####....##...#..#..#...#..#..#.#.#....##.#.###.##.#.##.##.#...####.####
.#..##..#.#..##.#..#.#.#..#..###.##.#....#.####..##...##.#..####.....#..##..............#.#.#####...###.......#.##.#.####.....#...######....#..#.####.####....##.#####......#.....##....###.#.###.##.#.....#.#.###.##.#..#.###.##.####....#.#..#.#..##.#.#..###..#..##......##.#..###..###....#.#.###..##..#..#######.#.#...###.#.###..#.#..#...#..#.####..###..##.###.##.....#.....###.#..#.##...##..#.###.#.#####.##....#..#.#.#...#.#.#..#..#........#.##...#..#######.######.#....#.###.#..#..#.#####...#.......
..#.########.###....#.###......#.#####.###.#.##.#.####.##..#.#####.#....##.#.#.####..####.######....##..####.##..##.#..###..##...#..##....###.##.###.......##...#..####..#..#.##.###.#.#....#...#########..##...#...#...#..###....###.#....######.....##.###..#.....#....#.#.###.###...#####....##.#.##..#......##.#....##.....#.####.##.#.#.....#####.#....####.##.#.##.###..#..###.####...#.######.##.#..#.#.#.##..##.#.##.#..########..##..#.#..###.#..##.#.....##...####..##.#.##.#..##.###.#..#.##.##.#.#####.#
....##.##.##....#.#..#..##.#.###.#.#......#.##.#.##..#.#..#..#######.#...#............##..####..#.##.#.##.#....#..#.########...####..###.#......#.##.####...###...###..##.#......#.##.#.#.#.#.#.#.##....#.#.#..###.###.###..###.#...##....##.######.###....#.######.#.#..#####.#.....##.#.#............#.##...##...#.#..#...####.#.#...##..###..#...###.#........##.#.#...##.#.##...##.###.###.###.##.##.##.........#..#...#..#...#.#.#.#..#.#....##.##.#.##.#..#.###.#...##.#.###..#..#.#....###.#.##.#####...#..##
.##.#.....#.###.#.######...#.....#.#.##.##.#.#.###...##.#.#...##..##.##..#.##.####....##.##.######.#.#.##.#.#.###..####..#.##.#.#.###...#..#.###...##.#.##.........#...##.#.####.#####..#..#####.######......##.#.##.......####.....#.#.#####..#.##..##.##...##.#........#.##...##.#.##..##..#....#....##.#...#..##.#.#.##.###..#.##...##..######.#.#.##..###..###.........##.#..#...###.########.#....##..##..#.###.#.##....###...####.#...#..#.###..#.#..####.#.#..#..###....##.###.#.#.##..###..#.##.####...#...#
###.#..#.#...##.####..##.##.###.####..#.####..#..#.#####..####..######.#...##......#..##.#...###.#...#..###....#.#.#.#...###.....####.##......#######..#.#..#..###..##.##...#####.##.#.#.......####.#..##....####.####......###....#....#...##.#.##..#.#.##.###.##..##..#......#.##....#####...##.##....#####...##..##.##.#######...#..###..##..###.#.#.###..###.#..##....##.#..###..#.###....#.##.##..##.###...###.###..#..#..##..#..##.#####...#.#####.#.#.#.#.....##.#..####.#....###.........#..#.#.###.##..##.#
#.....#####.#.#..#.#...#.#..###..##..####......##.#...##....#.###.#####.#..#.##.##..###.#...######.####..###.#...#....#...##..#..#....#.#..#.##.##.#..######..#####.#.##...#######.#.#.#..##...######...#..#..#..##...#.##....#.##.....#....#.#.#..####.#####.###.##.#.###.......#.....#...#..#..#..#..........#####..####.#.....######.#..#.#.##..#####....###.##..#####.##.#.#..##.#.######..###..#####.##.##.#..#..###..###.#.####..###...#..#..#.#.####.#....##....#.##..##....##..##.###.########...#.##..##.##
#.#.#.#.######...#.#.##..###.#.#.#########..#####....#.#...#######.....#..##.###..######..#.##.#.......#.#.#.##.....#...##..#...#.#..##..#####.####.....#.###.#.#...#...#..#...#..###.##.#.#.#..##.###......##.....######.##....#.......#.#####..#..#...##...#....#...###.#.##....##..#.######.#.....#.#.#...########..#...##...#.....##..#.#..#..#.##.#.###.#..##..##.##.##..##..##.##..#......#.#.######...#.###.....#.#...##..#..#.######..#..###........####.#####.#.##..#...#.#.###..#..#.#...######..##...###.
.#####.##.....#..#...##..#.###.##..###.######..##.....#.#..#.####...##.###..##..##..####..###.##.....###...###..#..##...#.#..#.####.##..#.#....#.####.....####..####..##.###...###.####.#...#####..###...#..##.#..###.#...###.##..##..##.##...##.##.....#.#....###..#.###.##.#....#..#..#.#.####..###..#.....#..#..##...####.##.#.#..#..#.###..#.##...#..#....#.#....#...##.###..#..#.#..###.###....##...#.###..#.#.#.#.#....##.##.....####..#.#..####.##..#.#...#.......##...#..##.#..####..#..####.###....##.#.#.#
.......#.####..###.#.#####....##...#..#....#..#...#....##..#..####....#.##..#####..#.#.#.#..##.#....###..#.###.....#.##.#.####..##.#..######.#...###..#####.#.#..##..###.#.#....#.###.#.#.######..###.#######.#.....#.#.#..##..#.#....####.#.....#######..#...#.##.####.#.#.#.###########...##...###...#.###.##...#..#........#.###.#..######.##.....#.#......#..###...##...####..#####.#.#.##.....#.###.##....##..##.###.##...#..###.#..#......#..#.######.####.....#.#..#.#......#.###.###.####....######..###.#.#
####..#.#.#.#####....####.#..##...#.#.##.###....##.##.#.#..##.#...###.#.######.#.......####.....#.#.#..#..#######...#...#.###.#.#....#....#.#...#.#####....#.....#.#....#..#.....#.#..###.##..#.#..#####.###..#..#####.#....###.#.##....#.#####..#.#.#.########..##########...........####.#.##.........#.#..##...##....#.#...##...#....#.#.##.#.#.##.###.##.##...####.....#.##.....##...#....#..######..#..#####.####..###..#.#...#....#.#.##.##.##..##....#..#..#..#.##.###..##..##..##.##.#...#.#.#..#..##.##..##
.######..###.##...##...#...########.#...####.#..........#.#..##.####..#...####..##...#.#.####.......##..##..##.######.#..###.#...#..#..#.##.##...#.#.#.##.##.##...#.####.#..###...#...##.##.#.##...#####.###..#..###...#.##.#.###.###..#.#...#####..####.#...#.#..##########.....#.##.###.##..#..#####.####....#...##.###..##...#..##.#####.#..##......###.###...###.##.##.#.###..#####.##.....######....#....####...#.###.#...#.#.#...##...#####.#...#####....###.##.#.##..##..##.....#....#####.#.##.###....#...##
####.###.....##.#.######.###...#.....###.#.#.#.#...##.###..###.#.....####...##..###..#..#..#....##..#.....##..#..#.##.####.....#..#.#...####.#..#...##.##....#...##....####.######....##..#..#.#....#####.####..#.#.....#...##.#..##..#..##.......#.###..#.####.#####...#.#...####.#.#.#...##.##..##.##.#.#.#....#.....#####.#..#..###.##.#.#...#..####.##.#####.#.#...#####.#.....####..#.#.........#.#....#...#.#....#.#..###.####.##.#...#...#.#..#.....#...#.#..#.#.#.#.#..##.##..#.#..#.#...#.###.#....##...##.
.###....###..#..#..#..###.#.###.###.##...#.##...#.###.##..##.##...#...#.#####.#.###.....###.#.##.#...#.....#.#.###...#.###.#..##..#.#.....##.#.#.##.##..#..#.#.#.#....#.#....#####.###.####.##.#.#.##....##..#..###...##.#...#..##.#.#...#####...#.#....#.###.###.##....#..#.#.###.#####..##.##.#####.#..#.#..#.###.##..#........#...#.#.##...#####...##.##.#..##.....####.#....#.#...#.....###.###.######.#.###.#.###.#.#####.....#.#.....##..#.##......#.......##.#.########..###.#.#.###....##.#..###.######..##.
#...#..#....#####..#....#..#.#.######.###..#.#.####.....#.#..#....##..#.#...##.###..#.#.###.##.#..####....###.##.###..#.#.#.##..###.#..#..#....#..####....#...###.####.....##..######..###.#.....###..###.##...#..#...#.###.#.#.....#.###..###.##..###.###.#..##.#..#..#..##.##.####..######.##....###...#.....##.....#..#....#######......##...###.#...####...#.#..####.##..#.##..#.......####.#..#.##.##.##.....#...#..#..####..#.##.##..##.####..#.##.#.#.#.......##.#.#....####..####.#####.##..#.#...#..###.#.#
.#..##.####.#.##..#.#.#.##.#.#.#..##.....###.##.#.##.####...#.#########...........###..#.#.#.###...#.#....###.#.#.#..#.#.#..#........####.#.....##.#....###.#.#.....##..#....#...#..##.###.#......##.###.###.###...#####..##.##.#...###.#.#..####.....#..#..##...#.###.###.#....#.##.##..#..##.#...#.#.#.#..#.#..#....#.#.##.......###...###..##.#.#.#...#.#.#.###.###..#.#.#...##.##..#...##.....#.#..###.##.##..#........###.#.##..#.#...#..##.##.##..##.##.#....######.##..#..#...#.....#.#..#..#...#####..#.#...
..#..##........#....#..#.##..#.#.##...##.#.####.#..###.#.#..####.#.###.......###.#.#.##.###.##.##..######..##...##...#.#.##..#..#...#...#.###..#.#...###.....#####..#..###.##..##.#..###.#..#..#.##.#.###.#...###.......#...#..#.##.###....#......##.#.##.#.#.######.##..#.#.#####.#...#..####.#.....##..#.##.##.##.#.#...#.#.#...###.#..##..#.#.######..#....##..##.####...#..#...##.#.###...##.#...###.##.###..#.##..##..####...####..#.#..#..#...###.....####..#..####..#..#.#.#..###.###.#...###.##..#.....####.
###.#.##..#.#..#####.##..###..#.#..##..##...#.###..######.....###.##.#..##..#..###...#..#..#.....#..#.#.####....###.#...###......##..#####.....##.#.##.#####..#.#....#.#.#..#...######.#.#..#....#.#.#..#.#..#..###...#.....##...#.#..###..#.#.##..####.##.....###.#.#.###....##....##.#..#...#.##.#..#.###.#.#..#..##.#.#..#..#..#.#..###.####.#..######.##.#.#..#..##.#.###..#..#..#...#.#.##....###..##....#...#.#..###########...###.##.##....#...#.#.#..#####..#.##.#....#..###...#.#....##....#.##..##...#..##
###.#####.#.####.#######...#.#.#..############...##.##.###..#..###.#.##.####...##.#......#...########..####.####.##..#.##..##.#.####....#.####..##.#...###.##########.#.#.###...##...#.##.##..###.#...#..##.....##.....######.#.###..####.#.#....#.##..##..####..#....#..#####.#.##.#.#..#....#.####........###.##.#.#.#####.......#...#..#...####.#...##########.#...#..#..#..#..##...##..#.###.#.#.#.##.#.#.#.####..#.##.#....###.#.#.....#...#...#.#..#.#.#....##...#.###.##.#..###.#.#.#.#.#.#....#.##.#.#.#..#.
.####...#...#####..##..####.#.#....#.....####..##.#.##..#.#######.##.##....###..##.##....##.#..##.#.#..##..##.#.#...#..#.....#..#.#.#....########..####.##..#.###.#......##..#..##.####.#.#...##....#..........##.########.#..#..#.#..#..##.#.###.###..........##....#.#..#...##.#.##.#....###..###.#...#...#.###..##.#..#.#####.#...#...#..##.......###.#.###.#.#.#.#.##.#.###.#.#.###...#.#...##..#.#.....##...##.#..###.####..##..###....#....#.#.##.####.##.#.#..####...####...#...###.#.#.###..###....#..#..###
##.##.######.#.#..###..#..##....#.#..#.#.#...#..####..####.###.##.#.##...#..#.#.#....##...#.##.#..#.......#......##.###.##.#.#.#.....####.##.####...#######..#..##...#.##...#.##.#....##.##..#......##.#....#.###.###.#.###..###..#####..#..#..##...#.######.....#..##.###..###.#.#.###.#.....##.#.....##..#..##..###.#.#.#.##..####.#..#.#..#...########.#..#.#.....#.#.##...##..#.#....#..##...##.......####.##.#...#####.....##.##....####..####....###.....#.#....####...#####..##..##...#.##...#......####.....
..###..#.#...#..#..###...###.########.##..........#...######.....###.###..#.......#..#...#....##.##...###...##...#...#..##....#...#.##.#.....###.#.#.##.#.......##.##..###....##..#..#.#...###..#.....#..##..#.#..#.####.##.#####.##...#.###.####.#....#.#...#.##.##.###....#......#.####.###.#.#..#.##..##.##..####.#..##..#.....##.#......######.##...#..#...##.#.#.......####.#.##..#.#.#######...#.#.#..#..#.....#........#########...###.#.##..#..##.#.###..##.###.#..#.#..####...###.###....####.#####..##.#.#
.#....#..#..###....###.##.###.....#.#..####.#.##.....##...#..##.###.###..#.......##.##.....#.#.####..#.#.#.##....#.#.#..####.####.##.##.#....######.###.#..##.##.#..#####.#..##.#..#######.#..##...#.#.###...#.#....#..#######.#.#....###.##......##.##..###..#..#...##.##.#.#.#.#.##.###...##.#.#..###.##.####...##..#....#.####...###.##.######.##....##..###.#...#....##...#...#.#.#.##.#...#..###.#..#....###.####.##.#..#...#.##..#...#...##...###..##..##.#.##.##...#.##..###.#..#.#.#..#..##.##..##.###.#####
#..######.#..##.###.###.##.##......##.##.#......#.###.#.#.#..#.##.#.....###.#####.###..##..#..#.#....####...#.#####..##.####.#.#.#....#.#.#..#.##.#.##.##.....##.#..##.##..#...#..#...#.####.##.#.#..#.##.#.#.########.#.#.###.##.#..##.#.####..#...###.#######...###.###....#..#.#......#.#.##.#.###.#..#..###.#.##....###..#.#..#.#.#####...##.#.#..###..##.####....#.#.#######.#.......###..#..#.##.#.#........#..####.#.###....#...#.#.##..#.##.#...#.##.....#....###...#..#.##..#.##.##.####...#######.######.#
.#....#.##...#...#.####.#.###.####..#.####..###.......###.#.#.....##..#...#...##..######.#..##.#.#.###.#.##.#.#.....#.######..#.##.##.##....#......#....##..##..####.#...#...####..###..#.#.#.#.#..#....#....#.#...####.#####....####...###...#####.#..####..##...######.....#.#.####...#..#.....#.#.#####.#.##.##..#..####.#....##..#...##....###.###..######.#.###...#.###...###..##.#.#.##.#####.#.#.#...##.#.#..###.###.....####.#.....##..##..#.##.##......#...##.##..#.###....##..#.##.####..#..###..###.#.##.
#.##.##.#.#.#...###......####.##...#######.#..###....#...##.#.###.#####...#....#..#...#.##.###..###.#.###..###..##..#..#....###..#.#.###..#.##.###..##.######.#..#####..#.....###.#....###.#.#.#...#.##..#.E..#..##...#.##.....#.#####.#.########..#.#..##..#.####.#....##.....#..#....##.######....#..####.###########....##.####.......#.#.#.#####.##.#.....#.#...###.#####.....###..###.####.#######....###.##.##...##..#.##.#....#..#..##.##...###...##.###..###...###..#.#.#.#.###..##.#.#.#..#.#...###...##.##
.#.##..#.#....#..#..#.#..##..###########.##.##.....##..#..#..#.####...###.##....###...#.....##..#..#..#...#.###.#.##.#..####.#...###..#######.#......#.#...####..##....####..###..#...#..#.##.#.##..#..#####.#.#.....#..##.##.#..##.....##.#.#.#.#.##.####..##.##..#...##.###.#..#.#.#.###..#.##.##.#...##.####........#.#...#.#.#.##.#.#.##.#.##.#..##...#.##.#.##.##.#.#..##..##.#....#.#.###...######.##.#.####.####.##.#..##.#.#.....#.###.#.#####.####.#####..###.##....####.####.####.###....#.####.#........#
#.#.#...####...#########..#.#..##.##.#####.#.###.###..#..#.#...#.#.#..##.#.######....#.####....##.#.##..#.#.#.##..##.#..#.##.#.##.#.#..#..####.##..##..###.#..#.#...##.#.#.##.#..####.#.####..##...###....##.##....#.###.....###.#.#.####...#.##.###.###.##..#.###.###...###.########.#...###.##.....###..#.###.#.#######.#.###....#.##.###.####....#..##.#.#.#####.#..#.###.#####.##....##.......##.....#.#..###..##.##..##.#.##.#...#.#.##..####..#...#.#..#.##...###.##.##..###.......#.#..##..########.####.##..
####...##..###..##.#...#####.#.###.#.##....###.###..#..##..##.#...#..##...##.#...##...###.#..#.##.#....###.#.###......#.##.##...........#....####..##..#####.#...####...##.#...####...#..#.##.##.##.##....#.##.....#..#..####.#..#......##.#.#.##..##..###..#.#.##.##..###...#..#.###....#.######.#..#....#######.#..#####..#......#.....##..##..###.##.#......#.###..##....####.###...##..#.#..##.###.....##......#..#.#.##.#.#.##...#.#####..#.#.#####....#.#..#.####.##.....#..#..#.##.#.#..##.##...###.#.##.###.
...##.#.####.#.#.##....##.#.#..######.#.##..#.#....#.#.####.##...###.#..#..###.##..#....#.#.##..#..##....##..#.#....##....##....#..##..#.#..#.#####...##.#.####.#.####..##...###.##.#....#...##......##.##.#..##.#..##..#.###.....####.####.#.#.##.###.######.##.##.....###..##.####.#....####..##...#..#.###.#####....##.#..####..#...##.##...###.###.#...##...#.....###.###.##.####.#.##......#..#.#####.#.##.#.##.#.#.......#.##.###.#####.##.##..#....#..#..####.###..##.#..#.##..##...#.#.##.#.#.###...#....##.
.#.##..#####..##.#.##..##.#....#.##.#.######.#.###...##.#.#.#..#.#.#...#.####....##...#.#.##.#........#.#.##.#.#..#.###.#....###..##.####.##...#####..#..#..######..##.#....#.##....#...#.#.#...#.####.#.##...#..#...#####...#..##.#...##.#..##....#...#.#..#.###...#.#...####...##.....##.###.######...###....#...#.####...#.#.#.#..###.##.###..##..#....##.#..#..#.....##...#..###.#..#.#.##..#...#..#.#..#.#.########..##...#.##.##....#.####.#.....#..#.##..####..####..#......##.#.##.#.#####.####...#.###.#.#.
.##...#.#.##...##.##...##.##.###.#......##.###..#####..##.####..#.#.###..##.#.####.#.##...........#.######..#.##..###..###....###...##..##...##.#.####..#.......##....#.##.##....#..#...##.##...#....###..#.#..###...#.##.##..##...#....####....#.##.#..#.#....##.....#..#..###..#.#.###..##.#...#.#...#.##.#....##...###..#.###.....#.#.#..#.#####..##.####.#.#.####..##...#.####.#...#.#.#.##.##.#.#.###........##.##..####.#......#.#.#.##....##...##....##.##....##.###..#.#....#.##....##.###....#...###..#.#.#
#.###.##.###....#.#.##.#.#####....#.####.#..#.##.######.###.#..##..##..##..#.##...#...##.##.####..#..##.#.##..#.#....######.#.##....##...#..#.#.##..#...#.#.#..#.#.#..####.#####..###....##..#....#.....##...##.##.##...#.####...#####..##.##..#.#.#####....#######.#.#..#.##..#..#..#.#.#..#...#..#...#..#####.#.#.#..####.#...##.....##..#..##.#.#...####...........##.#.#......###.......###..#.###.#....#..#..##..###......#..##..#....##..#####....#.###..#.#.#.####..#..#.#.##.##..#.#####..##.#.#.#..........
#...#.#.#.#...###.##....######.....#######...##...########.#.##...##.##.#...#####.#..#.##..##.#.#.#...#...###.#..##..###...#####.###..##..#...###.##...##....#..#...#.###.#..#.##....###..######.#.##..###.#.######.#.##.#.....#..#.....#.......#.#.##.##.#.##########..#..##..#.#..#...###..####..##.##.#.##..##....###..####...##.#..#....##.#.#....###.....##..#.#####...#.####...####...#..#.#.....####.#.###..###...#####..##.#..#.#..#..#...##.##.#.....##.##.#..#..##.##.......####.....#..#...##....#...#.##
#.#..####.#.##..##.####.#.##.#.....#.##.#..#..#..##.#.#..#.######..##..##.##...#.#####..#...##.###.#.##..#......#..#.#.####.#.#..#...###.#.#..##..#.#.#.#..###.#.#..####.###.###..#.##.###.####..##.#.##.#.###.#######.###..###....#...#...#....#.###...###.#.##..#...#...#.#####...#..###.#.#.#####....##.#..#####..#..###..#..#.#.#......###....#...##..#.##..#........#.##.#...#.......#..#...#..##.#..#...##.##.##.##...##.####....##.....#.#...##.###.#...#..#.##...####..#...##.......#.#.##..#....#..#...##..
####.#####..##...####.###......##...#.#..##.##.#.#..#..#.#.#...##.##..#.#######..#..##......##.##..###.##.#.###...####.#..##.#..#...####..#..##.####..##..###......#.#.#######...#.###...##.#.#...#..###....#...................####...##...##.#.#..###.###.#####.##.###.######......#.#.#.##.#..##.##..##...##..#.#.##.###.###.#...#.#.#####..##...#.#.###.#....####.#.#.....##..########...#.##........##....#..#..#.#..#.#...#....###.##..#.#..#..#..#.#...##...##.#.#.#.....#.##.###..##....#....#.....#....####
..####.##..#...#..###.#.###.##..###.#.####...#.##.#..#......#..##.#..#.#.#..#...#.##.#.##.###...#..###.#..#.#..#.###.#.#....####.##..#....#..#####..#...###...#.#.#.##..#####.#.####...#..#.#.###....#..#..#...#.#....##..#.###..#.##..####.####..##..#.#.#.#.......##.##.....#..#..#.###.....##.#.#....#####..#..#####.#.##..#.###########.###.#.#.#.###.#.#..#....#..#.#.##...#...##.#.###..#.##......###.#....######..##.##.#..#.#.#....#..#.#...##.##.#..###.##.##.#...#.#.##....#..##.#####.#.##..###....#.####
....##..#.##..#..###.##...#.###...#..##.##...#####.###..####.##.#.....#.###..#....#.#...#.#.......#.#..##....##....#######.##..#.###.#.#.#.#.#.##..##########..#....#...#.#####.##.##..#.#####..#...##..#.#..#.###.####.#...#..##.##..#.#..#.#.........#.#.##.###.##.######.#.##..#..##.#....#.#..#........##..#...#.#..###..#.###.######..#...#.###..######..#..##.#..#..#..##.##.#..##.#...###....##.####.#....##.####.#.#.#...##..##.#..#..#...#.###.#.##.#.#...#.###.###...##.##..##.#.####.......###..####.##.#
..#####.##....###....##...#.##..#.###.........#..###........###.#...#.########..##.#..##...#..#.#....###....#..#.#...###..###....#####.#..##.#####.###..##.#.#..###.###.######....#...........#.##...#...#.#..#.#...#..#.....######.#####.##.#.####....#####.#.#.#.....###.#.####.#.###.#.#.###..###.#.##..##..#.#..##..####.##.#.##.#.##.####..##..##...##.##..#######..####.##.####.###.#..######.##.###.#.#....#.###.##..#####.##.#####...##..#####...#..##..#.#..#..##.####...#...####.###..##..#.#..####.......
####...##.#####.#.####.#.#......#.##..##...##.########..#...#..#.#.##.#......##.#########.###....##.#.#.#.#..###....#.##.##...#####.#...###....##.###...###...##......##...#.####.#...#.#.#...###.###.#.##.#....#.######.....##.#.#.#..#####..##......##..##...##.#.##.##.......###...#..##.##.#..#..#......#..#.##...#####.....##.##.#..##.####.#.##..#....######.###..#.##......##.###..#..#.##.####.#.#......#....##.###......##.#....#..##.#.###.####...#..###....###..##.#.##..####..#..#######.#..#..##....#..
#...#.##.#.#.#..#.#..#.##..##.##....#.##....#...#.#.#......##.####.#.#...##.#.#.########..######.#.####.......######..##.##......#.##..###....##.#####...##.#.###.#########....#...#.##.##.#.#.##...#.#.###..####.##.###.#####....###.#.......###.#.#.######.#.###...###.##.###..#....##.#..#.....###..####.##.#.#.##.#.#####..#.#....#...###.#.##..##.#..#.##.##..#.##.#.#..#.##....#.#....#...#.....#..###..###.##..#...###......##.##..###..########..#####.##..###......#...#.##.#...#......#....#..#..#.#.##..#
#.#.####.###.#..#...#..#..##.#..###..##....#...#.###.#......##...#..##########.#####.#..###...##.#.....##..#.#..#.#...#.##.###..##.#..#.###..#####.#.#...##.#...#...##...##.##.####.#..####.##.#.#..##..#..#.#.#####..#.###.#...#.#..#.#.#......#..###.##..##.#.#.##..#....##.#.#.#...#.###..#.#..##.##.....#...###.#.#.#..#...#.####..###.....##..##..##.##.#.#.##..#..###..##..#...#..#.#.#.#..#..#####.#..#.....#####......#######..###..#.###.#####....##.###...#...#.####..#...######.......#.###.##..#.####.##
#.###...########.##.###..#..###.#.##.##.########.#.########.#####.#.##....#..#.....#.#.##..#.#.##.##..#.#.#.#..#.#######.#.##.#.#..##.#..#.#.####..#.#.#####.#..###.###..#.##..##.###.#.##.###..###.#.#.####..#..#..##.#....##.#.######..###.##...#...###.#......#....#....##.#....#..#####.#..#.#.##.#.##.#...#.##.#.######..##....#.#.#...#..###.#..#.##.##.....##.#######..##.###.#.###..#...##.#.######.#.#....##..#..##...###...#.#.######.......###.##.##.##.#...#####...###..#.#...#...###..####....#.###.###
#.##.....##.#....###....#.#..#.#.#.#####.#..#.....#.##.##..######...##..#.#.##..#.##.#..#.#..#...##.#..#######.##...##.....#.######..##.####....#......#.#.#.#.###..##..#..##.#....##.###.####...##.#..###.##..#......#.#..#.##...#.#.##..#....##.###.#.#.......#....##..##....###...#..##.###.##.##.#............#.#.###.##.######.#...##..#####.#..####.#..###.##..##.#...##.#..##.....#####...#..#.##..#.##.######.##.....##.##.#.##..#.##.#...##.#.####.##..#...#.#.##.#....#.##......##.#.#.##.....#..##.....##
.#.##.#.##.#.#...#.###..##.#....#....#.#...#####...###.#...##....##.#...####.#..####..##.#.##..#..##...##..#.####.....#....#.#..##.###.#......#####.##..####.####.##..#....#..###...#.#.....#..#..####.#..###...##.#.####..#.#.#.#####.##.#.###..#.####....##.....#.##..#.#####.##.#.#.......####.....#.#.##.#..#.##...###.....###.##.###.##.##.#.######.#.#..###.######..##..##.####...#..#...##....#...#.###.#......#.#...##.##.#..###.#####........#..###..######...##.##.##..#.#.##.#.###..#.##.#...#.#....##...
###..#...#.#..#.#.#..#.##...#..#.#.##.#.#.....###..###..#..#..#.##..######...#.##.####.##.##..#..##.#...###.....###.#.#..##..#..###..#..##.##..#######.#...##..###.##...#.....#..#.#..##.###.##.##.##.......#.#####.#######..##...#.#.####...###.#.###.#.#.##.###..#...###..#...##.####.####..#.#.###.####.#####....#....###..##...###..###.#.##.#####...#.###.####........#...#...##.#..######.....####.##.###..#.#.###..#..#.###.#...##.#.##.##.###.##....#....#......#.####.###..#.#..######.....###.#.##.#######
#.####.##..####..##.##...#.#.#.....###..###.#..#...###..#...##...###.....#..#####..#####.##...#...#.#...######.##..#....#..###.#..###.#...#....######..##.#.####...#.#...#.####.#...##..##....###..####..###.#######.#...##..#..#.###.#...#.#.#.#.###.##.#####..#.#.#####...##.....####...###.#########..####....#..#.#.##.....##.#.##.##.##.#.#..#...##..###..#..##......###.##.#..#..#..##..##....###.#.#...#..##..........##....########.###.#########.#.##.#..###.###..##.#.#.#..#.....#...####.#.#...#.########
#.###..#..#.##.#..#.##...#####.#...#.#..###..#.##.##..##...#.#.#......##.##..#.#...#.##..#..#..###.#.......#########....#.####.#.###..#......#.####..#...##.##..#.##.#.......###.......##...#.#..##..#.#...#.###.#.....#.#..#.....##..#.#.#.##.#..#..##.###.###.####.....###..#.#.#..##...#.#.####..####.#..##.#######...#####..####..#.#...##.....#.###.##.#...#.#..###...#.###....#####..#.#..###..###...####....#.#.......#..#..#...##...#..##....#.#.###.#.##.##....#...####...##.#......#.#..###.#.##.#.#.##...
###...#.#.###..##.###....#..##....#.#..##.......###..###..##.#....##.####.#...#.#.##...##...##.#..#...#...###...###.#....##...#.#..###....#.#.#...##...###...#.#.##..#####..######.#.#.#.##..#..######....#.#.##.#..###.######....#..#...#.#..#.....##.####.#..#####.#.#..#...##.#...##..#.##.#.##..###.####........#.##.###...#..###.#..#.#.##..##...##..#.#.###....#....####........#.#...###.##...#..##.#..##.#...##########.######.###..#...##.#.#.##..##.###..##..##..#..#..#...##....#..####.#..........###..#
.#.##.##.#.##.#.#...#.#.###..##.#.###.....#.#.####..#..##..#.#.##.#..#######.##.....###..##.##.##.###.###..##...#.......#..####.###...#..####..###.#.#######......##..#.##..#.##.#.##..##.##.#.#.##..###..##.#####.#.###.###.#.#.####.....#..#.########..#....#..#####.###..#..#..#.#.#.##.#.#.#.#.##.#....#.######...#.##...#..##....##..#.######..##..###....#..#...#......#.#...##..#.#####.#...####.#...##...##.#.#..#...#######...#.#.#....#.#.##...###.#.##.......####....#........###....##..#.###...##.#..##
.#....#.#.###...#..#......#####....#..#.....####..#..#...#...#.#...#..##....##.....##.##.##...#...##...###.#...#####.....#....##.#.###.....#.##...#......#..#...#.####...###.##.#.##..####..#####.######.####.##.#####...#...#.##.#..##.#.#...##.#..###.#.#.#.#.#.#.####....#.#.....#..##.##.#.#....#........#.###..#...#..####.####..##...##.#.#.#...###..#..#.#.......#...##.#.....###.#..###.###.#.#..#..##.#.#.###....####..#######.##.###..##.#.#...##.###..#...#.#.##..#####.#..##..####..#.#####...##..######
.#...#..#..#.#....###.#..#.#..#...#......#...###.##.#.#.#####.##..#.##.#...#.######..###.##.##..#.#...##.###...##..#.###...##.#..##..#.###.##.....########.######.##....##..#..##.##.#.##...#...##.##..#....####..#..###.#.##.#...#.#....##..###..#....##....##..##.#....#####......###...##..###.####.#......##.#...#..##..#..#..#.##.###..#.#.###..####.#..#.#.#..##.####.####.##.#..#.#..#.....####..##..##..#.#..#....##.#.####.###..#...####.#...##.####......#..#.###..###.#..#..#.##..#.#.###..####...###..##
###....#.#..#.##.....#.#####.#...##..##.######.....##...#....#..#####.#.#.#.#.#.#.###.#...#......##...#.###..##...##.#..#...#....#.##..###..#..###.####....###..######..####..##..##..###..#...#.####.####.##..###.#####.#..#.###.###..##...##...#...#......#..#####....#.#.##...###.#...##.####..#........#.##.####...#####...#.####.#..##..##..#..###.#....##.#.###..#.#.##.######..##......#..##.#..#..#.####.#.#..#.#...##.#..####.##.####....#.#.....#..##.#.##.#.#..#..#......#.###...###.#...#...####........
##.##.####.##...#.##.#..#####...##..##..#..#..#.#..####.#..##..#.#...##.#..##...#.####.#.###..#.#.#..#..####...####.##.####..#.#..###.##.#####.##...##.##.#.#..#.##.##.###.#..#.#.....##...#.###.###.#...#...#..####.#..#.##..#.......#..#.......#.#.##.#..####.##.##.##.......####..#..#######.#.##.##..#.##.####..###.#......##.###.#####...#.#..###...#.#.#.#..#####..##......#.#......#.#.#.##..######.####..##.##.#..##...##.....#.####.#####..##..###....#.#.##.#........####.#######..#...#..###.#.##.####.#.
....##..##...##....##.#.##.#...###..#..#.####..###...#.....####..##.###.#.##...#.#.#####....##.....##...#.##.#.##.##.##.##.#.#..###.######.#.###...####...#...#.#...##.#..#...##.##.....#.#..#...#......#..#.#....##.#.#..#....###..########.##...#....###..#...####.##.####.####..#..##....##.#.#...####.#.###.####...#.#.#.##.#.#.....#..#####.#.#####.###.##.#..#.###...#..##...##.##.####.####..#.##..##.#.......##..#.###...##.....##.......#.##......#.######.#...#.#.#.##...##.###...##.#...##.#..#.#.#.####.
##..##.#.#.##.##..#.##..##.##.#.....#...##.##..#.#..#...#.##.##...#######.....##..#....#.###.##########.##.#..##...######.#.#...##..#.#.####.###...#...#...###.##.###....#...##.#.##.###..##.##...#..#..##.##...##.###.#.#.#....##.#..###.#.....##.##.#..#####.#.#.....#....##...#.#...#..#..##..#.#####.#.#..#...#####..#.##.##..##...#.#.##.#.###..#...##..#.####..##.#.#.###...#######...#.#....##.##.#...##.#..#......##.#.##.#.....#.##..#...#.##.#.######.#.####.#.#.###..###.####.#........#####.###....#.##.
##...##......####...#.###.######.#..#.##.###.....###.#...###.#.####.....##..#..#.##..##.#.#.#..##..###.##...####.#.##############..........#####.#.#.###......###.#.#..###..###.#.#.########...#..###....###..###.#....####.####..#....#####.......##.##..###.#####.#..####...###..#...#.##.#..###.......###..#..##...#.#.##.##.#.#.##.####.#.......##.##.#...##.##.#.#..###....##.#...########.######.#.#.#.#.#.####..###.##.#.#.##.#.#..###...#...##..........##.#...###..####...#.#.......###.###.#..#........#..
.###.##..#.......#.#..##..#...##.####.###.##.#....#..##.###.#...#####.####.###.##.##..#..#.#.#....###.#.##.#.####....#.#.#..##..#.###..#.#####.#.##..#....######..###...##..###.#.##.......##.###..##.###....##...........#...#.####..#....######.#####.##..#.##...#.####.####...#...##.#..##.#.####..#####...##.##......#..#.#..#....####.####.#.#.#....#....###...#.####.#..##...#####.#..#.#....###.#..#.#.##.#..#.##.##.#..####...#..##.#.....#...##.#.##.........#..###.##..#.#.#..#..#..##.###..##.#..######.#
.###..#.##.....#####.###...#..#..#.##.#.####.######...#......#.#...#..#...##..#..###....##......###....##..##...#.###.#.####..###..#..#....#.#.#..####.######...###.#..#.####...#....##.#...#.#.##...##.....##..##.......##....#...##.#..#.##..#.....#...##.######.##.######...#..########...##.#.##...#.#..##########...####..###....##...#.####.##..#..##.#.....####..#..##.###.......##..#.##..####.##..##.#.####.##.#...#.#.########..##....#..#.#.####.#.#####.##.#.#.##...###..#....##....#....##..####.#.##..
...#...##.#..##..#..#.##..###..##.#.#...#.##.#.##.#..#.#..#.##...#####......####...#..#......#...#....####..#.##.########.#.#.#.###....###.###..#.#.##.#.#.#..#....#.##.#.#.#.#.#####..#.##.#..#..#....#....#.#..#.#.##.###.#.#.#.#.##...#....#.##...###.##.#.######.##..#.###....#.##.####.#...####.....####.#####..#####......##..##..#.#####.....#...#.#....#.......##.#.###..##.###.####.#.###.####.#..#####..#.##.##.#.#...###..##...###.#....##.#####.###......#.###.##.#.####.#.#####.#.#.....##..#...##.##.#
..#####...###.#####.###.##.##.##.#.#..#..##...#..#...##...#...#.####.###.###..#...#..#....####....##.#.###.##.#..########..###.#..#.#.##.#.#..##..##.#..#...####.##..##...####.#.#.#.##.###....###.###.##.#..#......#.##.##.##.##...#.####....#..##.##.....#....##.###.#.##.....###.....###.#..##.#..#.#..##.#...####.#####.#..##.#..#...#.##....#####......#..#.###.....####...######.##...###.#....###...##..#...#######..#######....#..###.#####.####...#####.#.#.#..##..##..##.##.....###.##.#####.#####..##..#.
##.#.###.#.#...###..###.###..##......####..#....###..####.#.###.##...##.#..####.#####.##...######.#.#....##..#..#.####..#..##..#..#.######..#..#.###.......#.###.#...#.###.#..#......#.##.##....#####.##.....#...#####..#.##...##....#..######.#...#..########....###..##...#.#...##......###.##.#..#...###..#.###.###.#....##.#..#######..##...#.#...###.#.#..#####..##.#..##.###..##.#...#.##.###.#.#######.#.##.####....##..#...#.....#####.##....#########.#.###.#...#....##.#.##..#..###.#...#..##.#.#.###..###
..##..###..##.###.#.##..#.##.#.#.#.##.#.#..#..#..#..##.##..#.##.#.#.#.##..##..#..###..##.#....#..#..##..#..##.#.##..###..#....#####..##..#..#...#.#.#..####.##.#####.##..#...#.#.........##.##.#.#.#..#......###.#....#.#...##.####..####.#.##..#...####..#....#.####.##.###.###..##.#...#...#..#.....##....#..#.#.#..#.#.#.###....#.#####.###..#.#####..####.#.#.##.#......#.##...#..#..#..#.#.#..#.##.......#.#.###..#.#..#.....#..#.##..###..##..#...####..#...#.#.##.####..#.#..##.###.#......#.#####...#####...
.###.###.#..###...#..#.#..##.#....#.#.##.###..#...#..####...#######.##.#..#####.##.####...###..#.##.#.#...#.#..#.#.###..#.###.###########.#..#.##.##.##.##....##.#.###.##...#.###..#.#...#..#######.#.##.#.#.##.....###.######....#.#.#....##..##.##.#.##...#...#.#..###.#....##.#.#..###..#..##.##..###....#.#.#..###...####..###.#..#..##..#...##.....#.##....##.....#..#..######.#.##.#....#.#..#.#.#.#.###.#..###....#.#.##.#.##.#.###..#...##....###.##.#.###....###.##.#.######....#..#..#.#.#...##...#...##..
##.####....#.#.#.#.##.#.##.#...##.#...##......###.#..#..#..#.#.#.#.##..##.#########.....##..#.##...#...#.###.#...#..#.....#..####..#.#######.###.###..###...###..#.###..####.............#####..###.#..##.##.....##..##...#....#.#..#..##..#.#.#####.##.#.#.#..#...##.#....##.##.###..##...####..#..##.#....###.#####.##....##.######...####.#..#.##.###...#.#...##.#....#####..#.....#####.#..#..####.###...#......##..#.#.#.##...##.##.#..###...###..#.###..###.#.##.#.#.###.#.####.....##.#####..#..#####....#..#
....#.#...###..#.###..#.###.#.#..#...##.#####.#####..#..#...#..#.#...#..###..##.#.#..#...#.#....###.#.#...#...#....#.##.#.####..##.#...#...#..#...#...###.##..##.###.#..#..#...#....#...##.#......#..#.#####.##...###..###.##.###.#.#.##.........##...###.#.....#.##.##..#...#.##..##..#.####.#####......##...####.##.......#.#...#.#..######...##.##.#..#..#.#...###.#.#.#..###.##.##########.#..###..########.#..#.####..##..#..#.###....###..#...###..#.##...###.##.###.#..##......#.#####........#######.#######
#...##.##..###.#.#..#...##.#.#.#..##..###.####..#.#.##.....#.#..##...#.#....####....###..#.####.###.##........####..##..##.#####......#.##..#.#.#.#..#...#..###.##.#.#...#.##.#..#.#.....##..#..#.##.#.....####.#.#.########.#####.#.#...###..#.###...#....#####.##...#..##..####...###......##..##..####.#####..#...#.#..#.#.##....#..##..####..##...###..####....#....##.#..#...##.#########.#..#...#..#.#......##.....#..####...#.#.###.###...#.#####.##..#...#.#.##.##..###.###.###..####.#.#.#...##....#####.##
..#####.#.#.#..#..#...#.##.#.#...#..##...#.#...#.####..###..#...#.##...#....#.##.#####.########.#..###..#.###..###.#.##..###.##.######.#.#.#.#..#.####..###..##..#..#.#.####..##.#..######....#.#..#.###..###.#..##.###.#..##...##......###....##...####.#..###.##.###...#####.##.#..####.......##...####..##.###.##..#...####.#####.##.#....####..#.#.#....###..###.##..#.#####.##.#.##..##.#.#.#.#.#..#.#...#.#.#.#.###.###.....####.#..##..#.##..#..#####.####.#...###..##.###.#..##..#####.#.##....##..#..#.....
..##..##..###....#..###.#...#.#..###...##.###....#.#.###..#....#.....#...#.#.#..#.#..#..#.#.#.#.#.....#####.###.#####..##..#..#.#.##...#.#..####.##.....#...####..#..###.##.######..#.#.#.####......#..#.##..#..####.#......##.##.#.#..#.#..#####..##.##.##.....###...#..#.#.##.#.##....####..#.#.##.##.##...####.#.##.##..#...##.#.#........##..##.###.###.###..####.#.##..#..#.#.#####.##...####.###.##.#.###..#.#.##..#..#.#...#..####.#.##.#..#..###.###.#....#..####.#..#####.###.##.##..##....####.###...####.
##.#.####.###.###.##.#..#..##.#.#..########.#..##..##..###..##.#....###...#...##.######.#.#.##.#.#....##...##..#......##.....#......###.#....####..#...##..##.#.#.###.##.##.#...#...##.#.##.##.#...#.#.###..##..#########....##.####.#..#....#####....##.......##.##.#.#..####..###.#..###..#####.#.#.###..####....##.####...##.#...#.#.#####.##########..###.#.#####..#...#..##.#.#..###.###.###..#########.##....##.##..###.###.#..#.#.#.#...#......##.#..##..#..##.##.#.###..#.##........####.#.#.#...####.###.##
.#...#.#....#.....#.##....#.......####..#.##.....#.#........##.....###########...#.#..#.##..#....###..###..#..##.#..#..#.####.###.#.#.....##..#.#.###.####..##...##..#..#.##..#.#......##..####.###......#.###....#######..#..#####.#.###.#..############..#..#.##...###..#....##.#####..#..####.#.##..##...##.......###...##.#.##..##.###.#...#############....##.###.##.#.##.#..###..##.#.#..####.##.....#.####.#..##...###.........###.#..##.....#.##.#####..#.#.#.#..#.#...##.#####..#.#.##.#...#.###..#####..##
.#######...#.#..#.###.#..#.###..##....##.##..#.##...#.##..#...#.###.##.###...#....#..#.###.....##.###..#.#########..#.#..####.#....####.##....#...###.##.###.#########...##.##......##..#..##...###..#...#..#.#.#....#....#..#####.#..#.#....##..#.###..####.#.......##.##.#..#...######...##.#.##.#....##.##....#.###.....###....######.#####.#.#..###....#.#....##.#....#.#.#####...#.#.#.##.....#..#.##..#.#.#######..###..##....##.#...#.#..#.#.##.#.##.#.....#.#....##.###.#.##.#.#.##..###.##...#.#..##...#.#.
##..#..#...........#.###..###..#..#.#....##......#.##.....####....#..##...##.###..#.#...#.#..##..##.#....#.#....##.#...#.....#.####.###..#####.#.#..###.##.#...###.#.#.#.#...#####.#.##.#......##.#.#.#.##....######...##....##.#...###.#.#....#.#..###.#.#.##.#..#.#..##.##...#...#...######.##.###.##...##..##.#.#######....#..#####..########.#.#...#..#.#.###...#.##.###..##..##..#####.#######..####.####.#..##..#.###...###.#######.####.#.##.##.#.#.##.#..#.##.##.#.#...##.#.##.#..#.#.##....#.#.#.##.###...#
#.#.##...#####..#..###..#..##..#....#.##..#..####...##..#.##.#.##......#######..###..###.###....#.#.#...#####...##..###...#.##..###..#...####..####..##..####.###..#......#.###...#.####.#.#.#..#..##.#.#...#..###..#####.##...#...#.##.##...#####.####..#.#####..##..##..#.#.##.#.##........#.#..#..##.#.....##.###.##..###......###..#..#..##.#.#.#####.#.##..##.##..##.#...#.#.###.####......#...#...##.#.....###.###..##.#.#.#..#.#.#...#.##.#..###...#......####.##.#.#..##..###..##...##.#..##.##.#.##..#.####
#.....#.##.#...#..#...##..#####..##...#...#...######.......##.#.#...#..######..##..#.##..#......##..#..#..#...#.##.###.##.#.#.######.##.#..#.#...##.##.#.#...##..##...##..#..###.#...#######.##.#.#..#####..##.#..####.#....####.####...##.#.#..#..#..#.#..###.#####...#.....##.#.###..#.#...#.#.#.##....###.##..##.#.#....#.##....###.#.##..#.###.#.#.####....#.#..#.###.##.#########..###########.#.#####.#...##...##..#.#...#.#..##...##.#.#####.##.#..####..#..###..#.#..##.....#####...##.#.....#.#####........
.#..#....###..#..#.##...###.#.....###.##.#.#.....##.##.#.##..########.##..#.#.#..##.#######.#....#...#...##.....#.##...#####..#..........#.#.#.#..#......###.#..###.##..#..#.....##.##.##...###..###.######..#.#.##.#.....#.##.###.##...#.##.#.#...##.#.#####...#...##.######.###..#.#.##.....###...##.##.####...#..#.....##.#...#####..##..###.#...#.#####...##.#.....##.#.##.##...#..##.##.##.#....##.###...#.##.##.#.##.##.#...##.#.###.#.....######.###.#.###.#......##.#####.#.#........#...###.##...##.#..#...
..#.#####.##...##.#.#####..##.###.##......##..##..####....#...#..##...#.##....##.#.###.##...#..#.#.#.#...#..##.##..#.....#.....#.###.#...#..#.#.###..#.####.#######...#........#....#..###.#.#.##..##...##..#.##.#................#.#.#..#..#...####.#.##..#.#.##.#.####..#.##.####..##.#..#...#.####..######.###...###..#.#.#####.#...####...#..##..##..#..#...#....#..###.##.#.#.#......#...##...####....##.#######.#####.#.#..#.###..#.#...#.#..#...##..#....#....#.#..######.###....#..#..#.##...##.#.#....##..#
#.....#.######..######.###.#....#..##..#....###.###.#...#.##..#...#.###.#.#...#.#######..##.###.##....#.###.#.##......#..#...#.#.#.#.#..##...###..#..#...#.#.#......#..#.#..##.##..#####..#.##..#..###.###..#.##.#...#..#.###.....##.######..#..##.#.##..###.#.##...####.........#.....###.#.##....######.#..#.##.#.###..###.#.##.#...###..#.##.....###.####.#####.#.##.#..###..#.....#.###..#.##.#..#..##....#.##.#..#.####..#...#.#...##.#.#..##.#......#.#......##..####.#####.##.##.######..###.##.##.#..#..###.
###.#......###.##..#.##..###.##.#.#..#..#......##..###..#.#.###.##..##.#.#.#...##.........#.#.#.##..##...#...#..#..#..#.#..##..#########.###.#....#..###..#...#..#.#####.##.###.#...#..#.###....###.##..##.#.#.######...#...##.#.#.#####.....#.#..#.#.......#.#.##.##.##.###.#..#.#....#..###..##..###.##.#.##..##.#####..#..##.###..#..#.#..#.#.###.#...##.#.##......##.......##.#.##..##.#..###.####..##.#.....#..##.#.#.#.##...#.#.....####.#.#...####.##.....#.#..###...###..#..#..####..##.#######...#.###...#.
.##.#.#..#.....##...##..#....#..#..##.##...####.#.###.#.##...#.#.##.#......#.#.##.####.......#.#.#.#...#....#.#.###..#......#..#.#..#..#.#######.#.###...##..######...#..##.#.#.##....##...#.#.###.#..###...###.####....###.#..##..##.#.##..#.###.####..#..#.#.#.####..#....#....####....#..##.##...#.###..#.......##.####......#..##..##.##..#....###.##.##..#..##...##.#..#..##..#.######.#...#.###.....######.#.##..#.###...#####......##.##.#..##.##..#####..#.#.##......##.#..#...#####.##...#.###...###.#.##.#
..#.#.#.###.##...######....#..#####.#...#.#.#........##..#...###.#...###..###..#..#..#..####..#..#.#..##.####.###.##..##.#..#...###..####..##...###......#.###..#..#.###..####.####....#........##..#....##..#.##.##.###....#..##.###.#..#..#.....#.#..#...#.#..#.####...#.###.#.####......#..#.#.#.#..#.#....##.#.....#.##.#..#.##.#.#.##.##...#.##.##.#...#...###.##..##..#.##.###.##.###...#####...###..#####..#.##.#..##.#...##.####.##.######..###.##.##..##..###...#####..#....########.#.###.##.#.#.#.##.#.#.
###.#..#....##.##.##..#.#.#........#.#.####.#.###.#####...###...###.#..###.##.#...##.#.#####.##..#.#...#.#.##..##.......######...#.##.#.#####.#....#.....#.####.#..###..#.###....#.#...##..##.##...##.###....#####..#.##.#.####..##.#.#.##.#####......##.##.#...##.#.###..#...#...##.#.#.#.#.##.###.###..##.#....#.##.##.##..###...#..#.##.##...##.######.##.#.#........#..##..##..#..#########.###...#..##.#.#..#.#....#....####.##..#.#.#####.....##.##.#...#.#...#..#.###...#.##.#.##..#.#.#.#..#...###.####.#.##
##.##.....#.##.###..##.#....##..#...#....#......###.###.#..#..#....#.###...#.####..#..#.#.#..##..#.###...###...##.#.....######.#...##.#####..##....#..##..##.#.##.#..###..#.###..#...#.#..#..#...#####.#.#..#...###...##.#######.####...##...##.###..#.#.#.....#.###.#.#..##.###..#.#.#.#...#..#####...#.###...##...###.#..###..##..###..###..#.#.##############..#..###..#..###.#.##.#.####..#....#.########.#####.###.#.##...#....####..#.#...#.###.#.##.#....##..##.##...#####..#.##..####..##....####.##.#.#.#.#
...#......#####..#.##.#..#.###.##.######..###.##.##..#....##.#####.......###.#..#..###.....####....##.....#.##.#.#.#.#.#.###..........###.#....#..#.###.#.####.#.#.##....##..####...##.....#...###..#.###....#.#..##..#..#.#####.###..##.#.###..###...#..........#........#..####.#.#..#...###..####.#..#.#.#...#....#####.###...#.###.#...#.##.##.###.#...#.####.#.#..####...##.#.#..#........#.#.......#.###.######.##.###..#.###..#..#..#..#...#####.......##....#########.##.###.####..#.##...##.####.####.#..#.
.#....#.#.#.##.#.#.....#......####.#.##.#..#........##....##.#...#.###.....####.#..#.#.####.###.##.#..#.####....####.#....##...##......#..#..####...#####..##.####..#######....#.#.#..##...#..#...####.#..###.#..#..#..##.......###.#...##...##.#.#.##...#...#..##.#.#..###.##.###..#...##....#....###.#.########..#.#..#.#...#.....#.###......#.......#.#.#..#.#.##.##..#..#.####....#.#...#...####..##..#.#...####.#.##.#...##.#######..#...###...#....##..#..##.#..##..#...#....##.#..##.#.....#####....###..####
.##....##.#..###.###.######...###..##...#.##.##......##.......#.######...#.....#.###..##.#...#..#####...##......#.#.#...#..###...###.#.##.###..#..##.....##.##...#.###..##...##....###..##..#....###..######...##.##.##.#.#......##.##..##.......#...##...#.#.#.#..##.##.##..#..#......##.#..#...##.....#.#....#.##..#.#..####......#.###.#.#.#.#####.##.#..#..#...#...#.###..#..##..#..##.#.#...###...#.....#.###....###.....##....######.#...##########.##..#..#.....#...#.#.#.#..#.#.#########.##....#.##..####..
#.###.##.##.###...#.#....#.####....##..#####.#..##.#......#.......#.##......#......##.#####..###.....#..#####.##.###.##.##.####.#.#.##..#.#.#....#...##.##.###..#.#####...#..##.#.....#..##.#.##..####.#..#...#.#####.####.##..###.#.....#..###.####.#.##..##....##.#..####..#.##.##...##.##..#..##.#.#.#..#......#.#..##.###..#...#......##...##...######.#....###..##..#..##.##...#..#.....#..###.....#..###.###.#...##...##....##.#.####.##...###..#.....#..##...#.#........##.#.....##.#.#...##.#..#.#####.#.#.#
#####....#..##.###..##.....#.##..#.###.##.#.##...###....#####...##..#.##...##.#.#.##.#.###########..###...##......#.###...##...##.#..###..###..##...#..#...#####.#.#.#..###.#....###.####.#....##.#..#.#...#...#..#.##.###..#..##.#.##.#.#..#.##..#.#..#.#..#.#...##.#.####.#.##....###.##....#...#...##.#.##..#....###.#.##.###.#...#.##.##.#..#####.#...###.##.#######...###.#####.#.#.#.##...##....#.#....#..###.#######.#.#.##..##....##.#####..#..##.##..#..##....#.####...#...###..##.#.#..##.####..##########
####...#..#.##.#####.##.#.##.##..#..#..#####..#..#.#.#..########....#.##.##.####.#.####.#..#....#.#.#..##....###.#....#......#...#.####..#.###.#.#.#####.##.......#####.##..##...#..#.#.###.#####.#.####....#....#.###.#.#...###...####.###.....#.#.#.#.####.##.##.#####.##..###.##.#..#..#.#....#####.#.......#######.#.##..##.#.##############.#.#.#####...##..#....##.#.#.#####.####.#..##.#..#####.#.#....#.##.#####.##.###...#...#..##.##..#.##..##..#.#.#.......#..#.....########.#.#....#.##.##..#...###.....
..#.#.....##.###.##..###..##..#.#....#..#.##.....####..###...#.###.#.#......##.#.##..#.##.....#.####.##.#..##.#...##.#####..#..#.##...#.#.#.#.###.#.###..###..#...###.#..#####..#.#......##.#...###.#..###.#...#.######...#.#.##.#.##...#..#.##.##.....####.#.#...#.#####..#..#..###.###...##..###.####.#.#.#.##.####.#....#.####..#######.##.###...###.##..##.#.##....#.#.#...#..#....#.......#.##.#.#..#.#.#.#.#..##...#..##........###...##.##.#..####........##.#.#..#.###.#....#...###..#.#.#####..#.#.#..#...#
###.#...##.#.######.#.###.#.#.#..#..#.#..#.#..########.....#...#...##.##..#.#.#.##.#..##..###.#...#..#.#.#..#.##.....#.#..##..######....####.##...#######..#.#..###.####.#.#..#.#.####.#.##.###.#.####.#.#####.######.##..#.#.##.##.#.####.######.#.#...#.##...#.####.###..#...###.#.#.####.#.##..#.###...#....###.##.####.#..#.#....#...#..#.#.###..#..####.#.#.#..###..##.##.##.##.##...###..#..##.###...#...#.....##...#.#..#.....#..##........#.####.#..#.#.#..#...#....##.#.##..##.####.##.#....##..##..#.#####
#..#...##.##..#..#.###..#...##....###..#.#..###.#.##..###.###.#...###.#...###.#..###....##..#.###.#...##....#.#####..#.#...#####..#.#####.#.###.#.#.#.#.##...#.#...#..##...#.#..#.#.....#.###.#..#..#..#..##..#...#.##.#....#...#...###.##..######.........#.#...#.#..##.##.#.#...#.##.###.....##.#.#.##...##.####.####...###.#..##.....##...#..######..#..#..#..#.#...#...####.##..###########....#.#...#.##..##........###.#.##.#####.#.#..####.#.#..##..#.#...#.#####.#.##.###.###..#..#.###.#.#####.#.#.#####..#
#.##.#######.#..##.#.#.......#.#..#.#.#.#..###.###..#.####.#.##.#.#.#.....##...#.##.......##.#....#..##...#..........###..##.#..####.#..##..#.#....##.#....##...#.###.#.#.#.###.###...###..###.#####...#######...#..###...######.#....#...#...#.#.####.....#.##.####.#.##..............#....#.#.####..##.#..#..##.#.....###.###..#....#.##...###.#..#.##....#..#.#...#..#.#......###.##.###.###.#.#..#.##..#....#.#.....##.....#.######.####.##.#.##..#.#.#.#..##.####.#.#...#...#...#..##...##..#.###.#.##...###..#
.#...####.#..##.#..##.#...###...##..#...#...##.#..##.#..###....##.#..##..#..#.#...#..#.#.#####.##.###..#.#########.##...###.#.##..#..#.#.###......#....#..###.#...#..#..#....#.##.#.##.#...#...#..#.##..#..###..#...#...##.#######...#....###..#..#....#.#.##....#..#.#.....####.#...###.....#####.#..#......#....####..##..#.##.#..#.##..##.##....###.#.####.##......###..#.#.####.##.####.#####.##.###..#.#..#####..#.#...##...#.##.......##.#..######.#.##..####.##.#.###....###.#..#...#..#.#..#.###..#....###.#
#..#......#.##..##...###..#..#.#..#.#...#..#..##.####.##.########.##.#.#.##....#..#.##.###.##......#.#.#..#....#.#####..#..#.#..#...#####....#.######......###..###.##...###...#.#..##.......##.#...####..#.#.#..#.##..#.#####...#.##.#.###.##..#..#.....#.#.##..##.#..#.##.....#.#..####.##..##.#..#.#######.##.#.....##.##.###.#####...#.#.##.#...#.#.#..#####.##...##..#..###..#.#...###.#.###.#..####.##.#....#####...#..#..####.##.#.....#.##.##.#.##..#.#.#.##..###....#####...#.#.##....#####......##.#..#.##
.#....##..#..#.#.#........#.....#.#..###..#.#.##........###...###..##...##..#....#..#..##.####..#..#..##.##...###........##.###.#..#..#.####.#.#....#..###..##.#..#####...#..##..#.#####.#..#.#...#.##..##.#.#..##.#....#..#..#.#.#..#.##.#....##..#.##.#....#...####..####....#...#.###.###...##.#..##.#..#..#######..#..##.##...###.#.#.##..#..##.###.##...####.##...#.###..#..##.##...#####....##..#####.###...###.#..###.##..#####.#.#....#.#.##.###..........###..#..#..####.#####...#...#.#..##.##..#.###.###.
...###.#.####.##....##..##.####..##.....##...#..#..###..##..#####..#.##..##...##.##.####.#.#.#.........#.#.#..##....##...#..###..#..###.##.####..#.####..#.##.#..###.#.#.###.#.##.###...##...#.##..#.##.#.###...#.##..#.#...#....###.##.####...#.#...###..##......##.##.#..#.##..#...#.####...###..##..##....##.#....##.#.....####.##.#.##.###.#.#.##.#....###.##..##..##.....#....##.#..####.#.#.#.##.####...##...####.#.#.##.#....######...#...#.##...#.###..#..#.#.##########.#...#..##..#..#...##.#...#....#.###
######.###.#.#..#.#..#####......##.#..##...#..###..#.##.#..###.#.###.#..###.#####.##..###..#######...#....###.#.#.##...#.##..##...#....#.######....##.#...#.#####.#...#.....##.#...#.###...####.###.####.....##.##.###..#.#..#...####.####..##.#..###..##.##...#.....##.#.#..##.###..####..#.##.#####..#.#..##...###.########.#..#.#.#....##..#..##.#....##...##.....##..#..########.#####..###.###...#..###.##.##.#..#.#####..###.####..#.#####.#...#..#.##.....#..##...###..#.####.###....###....##.####.##.#.####
..#..#..#.#..###.##.#####..####.####.#.#.######.#.##.###..#.#..##...##....##..######..#####.##.##..###......##.##.#.##.#.##....#.#.######...#..##.###.#....###.##..#.#.#.#...#.####.#.#..#...#..###...##..#.#..#....#.###.##.###...#.###.###..##.....#....##..#..#.##....#.######..#####..#...#.####...#.##..#...#.....##..#..#.....###.####.#...##..#.##.#..#.#..#..#.#..##...#.####..#..#.###..#.#..##.####...###...##.####.#...#.........####.#.#.#.#.#..###.#...########.##..#..#.####.#####.#..#.###.#.....#...
#.#...###.###...#...#.####.#.#####.#..###.###..##..########.#.###...#..##..#....#..#..##.....#....#.#......####.##.#.###.##.##.##....###.##.#.#.#####.##.#.##.#.#.##..##.#######..##.##.#.#...###.#.#.#....##.#.##.###.#...##..#.#.#.###.#..###.####.#...#...#.##.####........##.#####.##.#..#.##.#..###.......#...##...###.....#.#.######.###.#.###..#.########.#..##...##.####..##.####.####.#.##.##...#.###...######..#.###...###..#..###.###..##...##.#...#####..#...#...#..#..##...#.#.####.##.#..##..#.#...##.
..###..##...###.#..####..####.##.##.#..#.##.#....#...#.###.#...##..#.######.###..##..#.##.##...#....##############.#..##..#.#.#.#....#..#.#..#..######.###.####.##...#.#.######..##...#.####....#...####.#..#.#.##.###.....##..###..#..##..#..##.....###.......#...#.#.#.####.#.#....#.#####...#.###.##...###..#..###.#.####.###...#.#...#...##.##.###...#....#...#..#..##.#.##.#...##..##..####...##.#..###.####.........#.##..###..##..##.######.#...####...#.#####.#.....#...#..#....###.##.###.#..####...##.#...
#....#......#...#........##...#.#..#.###.######.#..##...#..##.#.#.#..###..##..#.####.#.#.....#...#####....#.......#......#.##....###..#..#.#.##.#....##.#.######.....#.#..#.#.#.#.###...#.##..######.##.#..#.#...###...#.##..#...#.##.##.###..#..#####......#..#.#...##.###..#.#.##.#.....#...##.##.##..###.##.###...........#..##.#..#...####..#.#.##......#.#.#..#......####.#.###..######.##....##...##..##..##.#..##..#.#...###.##........##...#.###...######.....##..#.#.###...##.##..##.#..###....#.##..#...#.
###..##..#....##.#...#.#.##...###.##..#.######..###...###.#...#.#######...#.#.##..######.###...#.##...#...#####.###...#....#..#...#.#..##..####...####.........#.##.##.#.#.#..##.##.##...#.##.####.#.##.#.#.##..#...######..#.....##.###..#....#####.#.##.#..#.#.##.##.##.#....#.#.#.##..##.###......##.#####.###.##.#.#........##.##..##........##....#####.#.#########..##.###......#.##.###...##....######..####.##.#..####.#.#..######..#.##....#..#.###...#..#.##.##.##..##.###..#.###.###.#####..##..#.#.#.#..
....##..######.......#....##.#.#.....##.....#.###...###.#..##..#.....##..#..#...##.#..#...###.#..##.#..##.....#........#.###.....###.##...#..#..#.##.#.#####.##..#########...#.#.#.###..#.....####.###.########.#.##...#.#######.#.##.####.##.#...#..#....#.###.##.#.#.###..##.###..##...#.###..###..##......#...##.#....##..#.#####..###..##.###.##.....##.#####.####..###..####.##.#..#.###.#.#..#####..#.##...###..##.#.#..######...#.#.#.#..##.#..#..#.##..#.#...#.#.#.#.#.####.......#.#..#...##.##..##.####.##
.#..#.######...##.#..###....#.####..###.####..#..#.#..###.####.#.##.#.###..###..........#.#####......####.##...##..###.#...#.#...#..#....##.#.##.#.#.#..#...##.#.#..###.....######..#..#.##..#...#..##.#.##..##.###......#...#.#.#.#......###...######..##.#.##..###.###.#.##.####.###.....##..#..######.#####..#.....###.#.##......####..##..###...#..##.####.#.##.#####..#.#.##.####.....#....#.#.#####.#.###...####..#.#.#..#..#.#...#..#....#.#..#.#...#..#..##......#.#.#.#...#.#.####.#.##.##..####.#.####..##
.#....##..##..#...##..#......#.#.##.#.####.###.#.#..#.###.##.#.#..#.##......#..#.##..#..#####.#.###...#...#.#####.#..###.####.####.#######....#...##.#..###...#.###.#.#..#.#.##.##.#....#.###.##..###.##.####..#.##....#.#.##.##......###...#####.#..##..#.#.#.###.#.##.....#.####.#.#.##..#..##..####.#..##.##.#..#.###..##.##..####.#.###.##.#....###.#####.#...##......#......#.###.###.#...######.##.....######..#.#.##.#....##..##......#.###.#.###.#..##..#.#.##.....#....##...#.##....####.#.#....####.##.##.
#..#####.#.##.#..##.#..##..###..#..#.#..#.#..#.#..#..#.###.#....#.#...#.##.###..##........#.#####..###..#...##.#.#...##..##.####.#..##....##.#.##..#.######...###..#...###.#..#.#..#.#..#.##..#..###.###....#...#.#.#...#.#...#.##..###.#####.##.....#.##.#.###..#.#####..#.########..##...#...#...##.#.#...#.##...##..#..####......#.###....#..#.#####...##.##...#.#.##..#.#........#####.#.#####..........###...#.######.....#..##.####.##.#.#.#.##.##..#..#.####..##.....#.##.###...#.#.#####..#..#..##.#.#..#..#
#..##.#...##.##.####.#...##.#.##.#...#....##....#..##.##..####.##.....#..####..#.##.#..##..#..##.###..#.###.##.#.#####.#.##.....#..##.#.####.#######.###..#.##..########.##.....#.#.###.##..#####.##......####.#..##.##.##.#.##..#..##....#..#..##.###..##.#....#.#..#########.##.#.....####.........#.##.#.#..#.#.####.#.#..######.#.#..###.#.##...####.##.###.##.#..##.##.##.###..##..#.#.#.####.#.#.##.#...#.##.##......#.##.#..#...#.#.#.#.####..###..#######...#####.###....##.....#....#####.#...#...#.##...#.
.#..####.###.#.##..#.#....#.#.#.##.##.##..###.#.##..##.#.#.####.#...#.#.....##.#.#.#.#..##.###.#..#.#.#.##...#.###...####..###########.#######.#..##.#..#..##.#.##..########....#..##..##...#.##.#..#.#.#.##.####..##.#.#.##..#####.#.#.###.#..##.##...#.#..#..###......##.#.##.#.##.###.#.####..######..#.##.....#...#..#.##.##.#....#.######.....#.#..#.....#.#######...####..#.#........##.#.#.#.#.###..#.####.#...#...##..#.###....#.#.#..##.#.##.##.##........#.#.######..#..##...#...##..####.##.#.#.#.#..##..
.#.##.....####.#.#.#.#.##.##.##.####.###.......#.#.....#.#....#...#..#...#..#.#.####.###.#..######.###.##.##.##.####.....######.....###......######.###...#.#.#.######..###.#.......#.#.###..#####..####.#....####.#.#..##.#######.#.#..#.#.#...#..#.....##.###..##.....#.#..###.#...#..#..##..#...##.###..####.#.#######...#...##.#..#....##....#.#.##..#..#.....###.#.##..#.####..#.#..####.#####.##.##.#.###......##...#.##....#.###..##...###...##.##..##..#####...#....#..#..#...#.#.######..#.#..####.###.####
#.##..#.#...#...#.###.####.#.##.###.#..####.#.#..#...##.###.##.###...####.#.##..##..##...#...#######.###.#.#####.#.###.#.##.#.#.#.#....#####.#####.####..#..#....##.###.#........##.#....##.#.###.####.#.#.##..#.#..####.#.##.##..#.#.#...##.#...###....#.#####.#.###.########.#.###..##.#.####.#.....#...###.#.#.....#....##....#.#.#..##.#..##..##..##.##.#....##..##....#..#.###..##..#.###.###..##...#..##.##.#.#..#..#.....#..#.#.##..######.....########.#..##.##...###...#.####....#..#.###.###.####.#.#####.
..##.##.#......###.##......#.#..#..###..#.####......####....##..#..#...###.....#.##.##...#.#.####.........##..#..#.##.#...##.#########....#..####.###.###..##.##.#.##.##.##..##.##.####....#####.#.##...###..#.##..#####.##.########....##...#.##.#..####.###..#..#.#....#####..#....#..#..#.##...#...#...#..#.#..#.#.####...#..###..###.#....#.#....#.#......##.#####.###.####.#..#.#...#..#....##.#..#..###....#..#..#..#...##..#.##...##.##.###.####.#.#.#...#####..#.#.#...##..###...#.#....#######..####.#..#.#
.######.#.#.##...#.#..####...#####..###.##.###.###..#####..##...##.#..###......#.#.....#...#..#....###.##.....#..#.#.##.##.#.#...#####.###.##.##.#...#....##...##.#..####.##...#############.##.##...####.######.#..#.#...#.#.##.#....#.#.###..##.#.#..###.#.#..#.#.....##......####.....#...#.##.#.##...###...#..###.###..##.#.##.#.#...##....#....#...##...######...#....#.#.###.........#..##..#.##.#..#.##.#.....##..####.#.##...#.##..#..###..#...#..#..#..#...#.#.#.#.###...#.#.#..#.###.#####.#...###.#..##..
...#...##.#.####....##.#...###.####.......###.##.##...#.##..##..#...####..#####..#.##.##..##....##....##.##..#.##.##....##....####.#.###.###..###.##.##.##.#...####..###.#.###....#.#.###..##..#.#..#..#####.#...#.##....#.##.#.##.###..###.#...#.#.#..###.###.###......##.##.#.#..##....##.##.##.##.###..#..#######..#...##.......#.#..#..#....####.##....##..#..#.##..####.###...#.#..##.......##.#..##.###..#.#.#.#.##..#.#..#......##.....##.#.#..#.##.#........#..##.##.#..#.#...###..##.#..##.##.##..#....##.#
#.######.###.##.#..#.##..#..#.#..#..###..#....##.##.#.#..#..#..#.#...##....#.###.###.##.###....#.###.####.###...#...##.###.###...##.#.#...#..##.##...#..##.#..#..##.#####...##...###..#..##...##..#...#..#.##.##.##.#.#.#..#..#####.#..####.###.#.##.#....##.##..###...#######.######.#.#..###...#....########...#..##..#.....######.######.#..#.#######.#...#.#.....#..#.###...##.##..###..#..########..#.##...#.##.###.#.######..###...#..#..####......#####.#.#..#...#..#.#...#...#...#.#..###...##.#.....#..###.
#.#.....#.######.##..#....#..#....#..##.#######.##.###.#..#..#..###.####..#.#.###.##..#..#####.##.#.####..#....##.#.........#..#.##..#......#...#...######....####....#..#...####...#..#######..##...#..#..##..#.#.##.....###...##.##.#..#..#.##...###........#...#...#.###.##...#####.#...#.#..##..#...#..#...#...#...###..#.##...#....#..##.###..###.#....##########......##.###.##...#.#..###..#####....####.##.#.#.#..#.#..##...##..###..#.#...#.###.###.#.#..#.########..##....###.#.##.#.##...###.....#......#
#...#....#.#.#.###...###...#.##.####.###..#####.#.##.#.###.####..###.###..##.#.###....#...#..#..##.#..##..#.#.#.#...#..######.###.#..####.#.###...##.#...##.#.########..#.....##..####..#...#..####.########...#..#.######.#..#.#####....#.#.##...#.#..#.#..###..##..###..#.....#####....##.#..#.###.##..##.#####.#..#.#..#.#...###..#..#.####..#.#.#.##.#...###.##....###....#..#...##........#..##...##...##.#.#.....###.....#..###..###..#.#.###.....#.#..#..###.#..#####..#..###...#.#.#.#...#...#.#.##..#.#....
#.##.#.###...###......####..#.##..##..##...#...#...#.....##...#.###.#.#...###....#.###.#....#.##...###...###.#.#...###....####.#...####.#..###.....#...##.###.....#.##.#.#.#.##..##.....###...#.#####..##...##....#.#.##...#..####...##..#.##.######.###...#.#####.##.##.#########.#.###.#.###.#....###....##.#.###.#.#..##.##.##.#.####.###....##...##..#..#.#.######.##.#####..####.#.#.#...##....##.#####......##.#..###.####.##..#....#..####...##.##..#.....###..#...##..#.##........#.######.##....#.#.#....##
.########..####..####.######...####..###.#........#.##.###..##.#...##.#...#...#..##.##....####.#.##.###.######....#.##.#.#.......#.####...#..#.##.####..#..#####..##.#.#..#..#.#.#.######..##.....#.###..#...#.#.##....##..#.....#.#..#..####..#.#.####.#..##...#..##.#..#..#.#####..#..#.##.####...#.#.#.####.#..#.###...#...#..#.###.#..#.#.###.#.#..#...#####..#..##.####.##..#....#..##.#....##.######...######..#..#####..##.#.#....#.#...##.#...###...#######.##..##..#.####..#.####..#.###.###.####.#..###...
###....###.#####.#.###.###...##...##..##..####.#...#...##.##..##.....#...##.#..#######.#..#.###.###..####...###.#.#.#.##.#...........#.##....###.....##.#.#..#.##...###.###....##....###..##......###.##....#..#....#.#.#..#####.#.##.##........#.#..##...#.###.#####..######..#..##.###.###........##.##.#...#####.###...#.##.#...##.#...#.#......##..##.##..#.#######.#......#.###...#.#.###.####.....##...#....#.##....#.#.#..#.#.#..#....##..###.#.#.##...##.#####..###......###...#.#..#.##....##..#.####..##..
.##.###.#..###..##.#.#....#..####...#####.#..#.#.##...#...##.##....#...#..#...#.#..##...#....#..#.##.#....#...#...#.##.##....##....#.#.####.##...##..##.###.##.#.........##.....####.......#...####.#.##...#...#..##....###..###..#.#.#..#.#..#..#.#.##..#..#...#####.#..##...#.#..###.#.#.#.####....#..###...#..#.#.#.#....#####.#......#..#.##.#.#..#..####.##.....#####...#.##....#...##....##..####..##...#..##..#..###.###.#...##.####...#..#####.#.#....#####.....###...##.##.##..#.####.#.#...#.#.#######....
#.##....####..#.#...####...##.#..#...#.##.#.#.####..###..#.#.##.#.#.#.###..##..##...##..#...#.##.#..##...##.###.....####....#####.#######..#....#.#....#..#.##..#......#.#.#..#.#.#.#.##...####.#...###..#.##...###..#..#.#..#.###.##...##..##..###.####....###.##......###...###.#.###...#..#########.####..#....#.##....######.....##..#.##..####..##.#..#....####.#.#..##.###..##.##.##..#..#..#####...#..#.#.#####.##.#.##.##.#.##..#.##.###.#.####.##.###..####..##..#.#..#..##..#.###...###...#.#..#####..####
......#.#.#.#...#####..##.##.####.#...#.###...##..####.#.##.#..#..##..#.#..#....#.##.##....##...###....#.#.#.#...#.###...#.#..##..##.###..#.###..#....##.#.###...#.##....##.####..##...####..#...#.####......##...#....#.#####..##..#..##.....#.##.#####.#.###.#...####....#.######.####..#....#..##.##.####.#.....#...##..##..########...##.###......####..##.##..###.###....#....#....#...#.#.....#..#.#####..##.##.....#..#....##.#...#.#..#####.####..#.#..#.#.##.#.##.#...###...##..#...##...###..#....##.#....
##..#.#.#.#.#.##.##.#.#.#...#.##.#.....##...##..#####...##.....#.##..######.#..#....####.......###.#.###.#.#..##....#.##.##..#..###..##...#.####.#.#...#..##.#..####.##.####.#..#.#..#.#.###..#.....##.#####.#.#...#.##..#..####...#..#.#.#...####..##..####.#.#..#.##...#.#..##..####.#.##.........#####..##..#...#.#......####.###..###.....##.##..#..##.#..#.........#.#...###.####..#.#.#.###..#.###........##..#.##.#..####....##.#..#..#####.#.##.##....#.#.#..##.#####.#####.#...#....#.##.#.....######..#.##
#...###.#####......##.#...#.#.#..#...#...#..#.#..#.##...#.#.....#...#####.##.##...##......###..#.#########.#.....####.......#.###..##.#....#.#.#..####..#..###..##...####.##.#.#..##...#.###.##..#...###..##.#.##.#.##.##..####..#######..#..#..##....##..#..##.#.##.....#..#.##..#.##..####.##..#....#..#.#.#.####........##...#...#.##.##########...#.....#.#.#....###.#.###.#..#.##.#..##...#..#..###...###.......###...#.##...##.#.#..#.##..#..#..#.#####......#..#........#....#.###.###...#.......#.###..#####
####.....#..#.######.#.##.###.#.##.#.#.##...#.###..#..##.##.#.#..##.###...###...#..#..#...#.#...###.#.##.##..#.#.##.#...#..####.#..##.#.#.##..#.#.#.##.#.###....#..###....##..#...##..###.####.#.#.######..#.##.........#.###.##..#.#####.#####......##.###..##.##.##..##.###..#...#..#.##...###..######...#.###.#....#..###.#..##.....#.##...##.####..#..#....#..###......#.#.#..........##.##.###.#.#.#.#.#.#.##.#...###.####...#..#..##.##.......###.#.###.#####.###.#.#.##..#...##...####.#..#..#.#..#####.###..
.#..#.#.###...#.#...##...#...##.#..####..#...#.#..#.###.#....###.#...#.....#..#...##.##...##..#####.#..#......##.###..#.#..#.#####.#..##.##.##.#.#...#.#.##.......##.#...####.#.#.###.#.#.#..#.##.##.#.#.#.#.####..###.##...#####.#.####....##...###...#......###.##......#.###.##.##.#..######.#.##.#..#.#...#.#..##.........#.###.#.#.#..##..##.####.####.##..#####..#.#..##.#.#.#####...##...#..#.##.##.###.#.....#...#..#.....#..##..##.##.#####..#.###...##...###..#..#..#..##.##.#..##..#######.#..#..........
..######...######....#.#.##.#.##..#..#....#...####...###.#.#..##.#..#..####...#.##..#...##.#.#.#..##.###..#..#..#...####..#####.#.#..####.#.#..#..##.#.#.###.#....##.......#.#######..##....##...#.#.##....###.##.#.#.##.#..###...##.######.#.###.##..#####.####..##.#.#.##..#.##.#.#......#######.####..####.......####..#...###..#..#.##...###.##.##.##.##.#.###.....#.#..###.###...####.##....#..##.#..####..##.##.###.....###..###.###.#.##.#..########....###.#..###..##..###.#...#......#.#..###..#..#.##.#..#
.#..#.#.##....##....##...#.#.#.#..###.#..##.#....###..#...#.#.....#..#.#.#.#.....####.#.....#.##.###.###.#...#....#.#.######.#..#.##########...#...#.##...#.###...#.###....###...#.#####..#..#.#.#.#.#.###.##.###......#..#.#.#..#...####.#..#.##.###..#.#.##.#...#.#..###.####.#.#.####...#...##....#.###..###..####...###.#.#.#.#.#.##..####..##.#.#.#########......##..###..####.#....###..#####.##.#..######..#.##.#.#.##.#####...#.#.###.###..#..#.##....####.#...####...##..##.##...###.####....##.##...#.##.#
##...#..##.#.#..#.###....##..##.#.###.##.##....##...###..#....#.##.#.###..##.#..#.#.#####.##...#.###############.##.##.#.###...#...#.###.#######..##.###..#...##.#.#..#.#.##.#..#..###..#...#...#.###.#...###..##..##.#..#.###...#.########..#...#..###.#.##..#..####..##..##.##..##..#..#......#...#..####.#...#####....#...#......####....#..#...#...####..#....#.##...#.#.##..##.##..######.....#..##.##...#.####.#..#.#.#..##..####.##..##.####.#.#.#.#..###.##.##.###..#..#..#.##.##.#..#...##.#.#.#.....###...
...#.##.#.####...##...#.####..#.....##.....#.#.##.#.#.#.###.#.##....#.#.####..##.###...###.#####.#.#.##..####.#..##.##.#....#.##..##.....###....#.#......#..#....#.....#.#.######.#....##..#.#.#.....###########.#.###.####.##..##.##.##....##.###....#.###..##.#####....##.#..##########....###....##.....######.#.#...#..#...######..#.##.#...######.#.#.##.##....##..#...###.....#..####.###.##..#####..##...#..#..##..#.##..#...##..###.#.#.##...#..##.#....#...##.#..###.#..#....#....##...####...#......#####.
........#####.###.#.#...#.....##.###.###.###......###.#..#..###.#.##..####.....###....#.##..##.#...####.###.#.###.###.#.#.##.#.#.#.##.##..###..#.###..##.#..###.#.#######.#..##..####.#..##..##...###...#.#...#.###..##.#...##.####.#......#.#.###..#.##.###..##.#.##..#####....#.#.###.#..###.#...#.#####..##.#####.##.###..##..#.#######.#..#.###.#.####..##..#.###..###...##.####.#..##.#.##.#.#...###...#.##.#...##.#..#####.##........#......#.####...#.#.###...#####.#.##..##...###.###.#..###..#.#..##.######
.###.###.####.#####.######..#..#....#.###.#.#.#..##.####.###.#..##...#.#.#.#..##......##.#.....#..##....#.###.#....#..#.##.....#.#.#.#......##.##..####.#.....#..#..###..#.#.#.##..#..###..#####.##..##..#...###..#.#####.###.###...###..#....#..#..###.####..######.###.#.###.#####..##.##..#.#..#..#..#....##.....#.#.#.#...###..##...####...#.###..##.........#.###..#......####.#.###.##..##.#.#.....##..#..#...#..#...##.##..#..####.#....#..##.#...###..#...####...##.#.##.##...#..#.##...###.#.......#.##...#
.##.#####..##.#.....#..#.....#..##.#.#.#...#.######.#....##.#...#...#....###.##.###.###.#.##.#..##.##..#....##..#.####..##.##....#..#..##..#..###.#...#.##.##.##...#.#..#.####...##.#.##.##...#..#.##..###..###..##.####.....#.#.#####...#####.#..###.#.....##...###...###.#.######.#..#..###........##.#...##..###..#.#..#..#..#..##.##..##..###.#..##.#.###..#.##.#....######..#####.#.#.....#.#...#.##..###.#.##..##...###.##.#.##.#...###.#...#..##.##.###..#######.............#.#.####.##..#..##..#...##.#..##
.####....#.#...##..##.#...##..#.#....#####..#..##.#.##.#........#..#.#...#.#.#####.....##..####.#..#####..##.##.######..#.#.#..#..##....##.#..##...#.......#.##...#.#..#.....##..#...###...###.#....#.#....#..##.####.#.#...##.##..#..###.###.#..####.#.###.#..####..####.#####..##.##.##..###..#..##.#.#.##...#.##.......#...#.##.....#.##..#####.#####..#..##....###.#.#.#.......##.##..##.#####..#.#.##...###..##.#.###..#.#.#.#.#.#.##.#.......##.##.##....#.#..##.####.####..#.##.#..##.#.##..#.#.#...#....#.##
....####.#..#######.##..#.....####.#.#....#..#####.#.#######......#.#.##.#.##.####..#.#.####.#..#..#.#..###.##.#.##...##.#..#....#####..####..#....##...#.#.#..#.#..###..#....###.##..##.######.###.#######...#.####.##.#....#.#.#.#...#.###..###.#.##...######.##..#...#.##..#.....#..#........#.##.....#.#...##.##.##.##....#..##..#..##...##.####..#.#.######.#..#...###.#.#..###..##.##.#...#.#..........#.##.###.##..###..##.##..#.#..#####...#..#.###...#..#..#.####....##.####..#.......###..#..#....###.....
#.##.#..####.#.#.##..#.......#..##....##.#.#####.#......##.#.#.######...#...#.##....#.###...##.#.#.##...##.##..#.#...##...#.##...####.#.######.###..#.#..#.##....####..##.#.#.#..#.#..#..#..#.##.#.##.#.#...####.##.###.#.#.##.###..##.##....#...#..#..####.######.#..#.#..#.##.#...#####...###..#.#.....##..####..#.#..##...#.##.####..##..#####.##.##.######..#..##.##...##...#..#######..#.#..##..####..#.#.#..#..#..#.......#.##.#.#.....###.....#.#..#.##.##.#...##...#####......#.#.##.#.#.###....#..#....#.##
#..#.#.##..##.....##.#...###...##..#####..##.##..#.....##....###....#..##...##.#....###.##.#..##....#.###....#..#.#...##..#...##..#.....#.#.##.####.#.#.##.#####.#..#...#..#....##..##.#.###.####.#.#.##.##..#..#..##..#..#.####.##.##...###...#....##.#...#.####.#....#.###....#.#...###.#..#.#.....#...#.##..###..#.#.#.#.#..##.##.#.##.##.##.##.#.###.#..#####...##.#.#.###.#.###.####...#.#.#.##...##..##.###...##.##..#...##...###..#.#......##.#.#.###.#.#.####.#..#...####.#...##...##.#.#.#.#.#...########.#
.##....##.###.#.#.###.#.#..###.##..###..####.####.#.....##..##..##....###..#.#.##...####.###.#######.#.#.##...#.#...###.######..##.##.##.##.#...#...#.##..#.#..#...#.#...#.##...#####.......#.#.#.#..##.##....##.###...#..##.########..#...#.#...#...#.##.##.#.#..#....###....#.#.######....##.####.......#..##........##.#.###.########.....#.#....###.##.######..###....#...##.#.##.##.#..#.###.#...#..#..#.###.....#...#.##..##.###...#...#.##.###.#.###...#.......#.##..#..#.####.#.#..#..#.#..#.#..##.##...###.
.######..#.#####.####.#.#.##..####..#...#.#####.#....#..##.......##.#..###.#.###..###.##.#.##...#.####..#...##.###.#..###.########.#..##.....###.##.##########.#####.#.#.###.#.#..##.....#.##..#.#..##.#.###..##..########.##.#########..##.##.###.#.#.....##.#.##...#....#..#######.#......##..#...#.#.##..#.#.#..###....###...###.####...##.#..##...#..##...####.####.##.##.####......#.###...##..##.#.#..##.##...###..##.##..##.##..##.#####.#.#..#...#..##.##..#..#..##.###.#..####.##...#.#.###...#.#..###..#.#
####..#....#....###..#......###.#....##.#.#.#....#.#...##.##.##...###....#.#.###..#.#.#.#.#..#...####....##.##..##########.##...##.###..#.##......#..##.####.#.#.#.#.##.#####.##.#.#.#.###..##.....#.##..#.#.###..#.##..#####...##.########.....#.###.#.#..#..#...#..#.#.#..#.#.###..#..#.##.#.##.####.....##.##.#.#..#.....#..#..#....###.#..#.##....#.#...#..#.####.##..#####......###....##.###.#.#..#..##.#.##.###....####.###.......#.##.#..#...####.#.#..###.##.###.#.##...###....#.#..#..######.#.##.#.##..#.
##.###..#####.#..####...##....##.####..##.....###..###...##.#.####..##..#.##.#..#..###.#...#..#..#..##.#####..##.#.#.#.##..#...##.##...#..###.##..#.....#..#....#.#.###..##.....#..######.##.####.##.#...#.#######.#.#...##.#..#..#####.#.##...#.#...#...#.#.#####.##...#.......###.#..##.#.##....#.#...##.####.##....#..#..#.#....##..#.##.#..#..#.#.........##.#######....#.#.###.#.###.....###..#.###.####..#.###..#.###..#.#.#...#######.##..##..##..#..#..##########.#.####...##..##.#.######..####...##.....##
.#....####..#.....######.###.#.##.#.#..##.#.###.#..#......#....#..###....#..##...##....##..#.###..#.#####....#...#.##.#.....##.##..#.#.#..##..##.#####.#.#.##..#.#####..##..#..###..##..#..###.#...#..#..#.#####.#.#.#####.#.###...#..###.##..#..##.#..##.#..##...###.#.#.###.#.###....##...######.####..#...#..#..#.#.##..###...#.###...######.#..##.###.#.########..###.#....########.###..###.####.....###...#..#..#...########.##....####..#......##....#.#..####.#.######.#.#.#.....#....#.#.##.#...#########..
.#..##...####.#.#.##...##.######.#####.###.##.##.####........#..#.#....#.#######.##.#.#######..#..##..####.###...#.##.#.#.......##.###.#..#####.#####.##..##...###.#.....##......#...##..#.######..###.###.#####..####......###..#.##.#..###....##.#.##.......##.###.#...#.##.#...#.##...#######..##..#..#.###..###.###.#.#.##...#..#######.#....##.#..###.###...#..#..##....#.#.#...#.#.#..#.#..#.#.###..##....#.##.###.#....###..##..##..#....##.###.#...#.###..###.########..#######.#..#...##..#.....##.#..##...
.#......##.##.#...#.#..###...##......#..#...#..###..##.#....##.#.###..#..#...###...##.###.#.##..###....#.##..#.#...#.###...#######.#.##.##.#.##.#.##...###.#..#....#...#.##.#.#.###.##.#....#.###.#.#..#..#.###..###...#.#.#..##..#.#.#.#.#.####.#..######.......#..#.###.#.#...#####.##...#.###.#.##..#..#..#.#..#.##.#..#..#.##..#...#.##.###.##.#.#####.#.######..##.......##..#..##.#.##.########.####..#.....###...###.###.###.###.##.#.#.##...##..####.##.##...####.#.##..##...#...##..#..#.......###....#....
.##.###.#...#######.#.#.#...#...##.#.#..#.##...#.#.#.#..#....#..##.#.####.###..#.#..####..#...##....#.##.#...#.#..#.#####.#.#.##.#...#####.###...##....#.##..#.###.##.###...####.....#.###...##....###.#..#.####...####.#.##.#.#.#...#...###.##.#.##..#..###...###...#.....#.#...#..#...#..#.###.#...#.##.##.#..#..##..#.#.#.#...###...##.##..##......#..#..##.#.#..###..#.##..#.##.###.##.##....#...######...##..#.##..#..#.##.##.###.##.#####.#.....#.#..#.#.###.#.####..##.##.#...#.####.####.##.#.##..#..#..###.
#..#..#....#..#.##.#####.#.####.#####.#.#.#...##..###..#.....#..##.#...###....#.##...#.#.#.....#..#....###.####...#.###..#...#....###......#.###....#..#...#...#####......#.###..##.....###.#.#.#..#..#.##.#.##......#.#.#####.#......#.##..#.##.####.########.#..#.#.#.#.#...##...#.#..#.......#..####.....##.##.........#....#.###..##...#.######.####.###.#....###..#..##..#.##.##...###......#..##...#...#.###..#####.###...#.#..###.....##.#.......#.###.##..##..#...##.###..##.#.##.#.#..#.#.#.#..#.#.##.#.###
###..##.####.###.....#.##.#..####.....#.......#.##....#..##........###...##.....#####..##...#.#.#..#..#..#.#.#.#.##..#.#........##..##.####..#..##.#####.##.....#......#.#.#.###.#.#.#####...####.#..##..#.#.###.#...###..#.##..#.##.....#.#..##.##.#..##.###.#.##.#.##..#..#.#.##.#####.#..##.#..#...##.###..##.#...#.###..#.###..####.#.#...###..####..#..##.#####.#.##...#.###.##..#.......#.#.#.##...#.#.##.#.##...#...###....#..###....###.#.###..#.##...#...#.#....######.#.###.#.#..#########...#.#.#.....###
.##.#.#....#...##.##..#..#....##..#####...####...#..#......#..##...###....###.#.##.#..#...###..####.......###..###.#..##.#.#.##.#.##.#.#.#..#.#.#...##.#.#....##...####.#.#.######......##.#....#....#...#.###.######..#.#..####.###...#...#.##..########....##....#..#.##...#.##..##.##.###..##...#.#.#.#...#.##.###..###..#.#.#.#.#..#...###.....#..####.##.##.#.#####....#..#.#...####..####.##..#.#####..###....#..#..##.##....####..###.#....###.#...####.#.#...#....#.###.#.#.###.....###...#######.####.....#
.#.#######.#.###.#.#.##.#.....##.##...#.###.#####.#.#......##.....##.####..###.#.###........####...#.#..##.##.###.##.#..#.#..##.#..##....#.......#.#....#.#..##........#######............#....##...#..#...#...#####...###.#..####.#..#.##.#####....#.#.###.#....##.###.#.##.#..##.#.#.###.#...##.###..#..###.#.###...###..##...#....#..#....#.....#.....###..#.#####.#.#.#.#.####.#.....##.###.#####.#....###.#.#....#.#..#..#...##...#.#.........##.##########.##.###.#..####...#..#..#.###...#....#..#..##.##..#.
#.....#.......#..##....###.##.....####.#...###.#.#.##..####.#..#...#.########.#.##.....##...#...##..#..#.#.#.#.##.##.#..#......##.#...#..####.#....#.#.##.####.............#...##.###.#....#.######.##.#..###..#..######..###..##..#...###...##.#.###.####.###....#....###....###...##..#.#.#.##.##..#.###.##.#..##...###..#.#..###..#.###.......##..#.#....###.##.#.#.#...##.##....####.####...######..#..##.#..#..#...##.#...###.#..##..##.#..##..#.###..###.#####.##.###.#..###.#.#.#......###.###..#.....#..#...
.#.#.##..#.....###..###.###.##...##...#..####..##.###.#.##.#..##.#.......##..##.##....#.#.#.#.##..######....#.#.####.#..#.#####.#.#####..#.#...##.#..#.###.####....#..##.#...#.##.###...###...#.##.##########.###....#..#.##...#.####..##...##...##.#..#.#...##.###.....#...####.####.###.##..#.#.##...#...####.#..####......##.#.##..#....######.##.#.##.#..#.#...##.##..#####.#..#.#..#..#.##.#.#..#..#.#...##.###..#.#.##.#.###..###.##..#..#.####.#...#.#..##..#...#.#.#.###..#...##.##.#.#.##..#.#.#.#.#####.#.
###....#.#######..##.##.#..###.###.###.##.#.#.#..#.....##...#.##..##..#..#.##.#.##...#####......#..##.##.#.#...#...##.#.########.#.##..#.#.#######..#...........##.##.######...#..#....##..#.#...###.#####.....###..#....#.....#.#####.#....#..#..#.#.#.#.###.##....#....###.#.......###.#...###...#####.#..#.####.##.....###.#.#..#..##.####..##...####.#...#..####.#...########...####.##.##.....##...#..###...###..#.#....#..#.###.#.#...#.#...#.##..##.#.#####..#..#.##.##...########..##...#.####.#.###.#.#.###
#.##.##.#..###.#####.....#......#...#....##..####..#.##..#...#.#....##.##.#.#.#####.#.##......##..##..##..#.##..#.#####.##..##..##....#.#..#....#.#.##.#...###.....##.#.##.###..#..####..##.##.....###...#.#..........#.##.##...#.#..#...#.....###..#.###...#...#..##..#.##..##.#.####.#.#.#.####.###.#...#..##.###.##.####.#.####.#...#...#..###.#.####.###...#..#.##.#.##...#..##.....#.#.###.#..###.#..#.#.#....#.#.###.....##.....##...#.##.###.####..##.#...#.##.....####..##.#.###...###..##.#.#.##..#.....##.
###.##..##...############....##.#....#.#....##....####.##...##.##.##..#.###.#....#.#..#....#.#..#..#...#...#.####....#..##.#.....#.####..######..#.....##.......#####.###.##.##.####.##.#.#..##...#....####.##.##.#.##.#.###..##..###.##.#.##.#..#.##..####....#.#..##.####.##.###.#..#.##.#...#..####.###..##.#.###########.#######..##.#.#.....####..#.###..##.#..##..##..##...#.##..##..##.....#.....#.#.##..##.#...##.##.....#.##.#...#.....####..#.##...#.#...##.#.####.##.....#..###..##..#.#...###.#....#.##.
############..#.###...###.#.###.###.###.####.#..##.#.#.#...#.##.##.#.#....#.#.#...##..###.#..#...#.....#.###.##.#...##.#.#...#......##..##..##..#.##.#....###.#.#.#.#..#..#.##.##.###..#..##.#####..##...#.....#.#..#.#.####.#....#...###..##.....##.#...#..#..#.#.##....#....#.#######..##.#..#.#...###..###...###.#..#.#..#...#..#.#.#.#.###..#.#.#...##..##.#..##.##.....###.....#.#.#.#.#.##..#.#.##......###.#..#######.####..##.#.#....##.###.##.#..##...#.##.#...#..#####..####...##....##...#####.#..#.#..##
#.##.#..#...#...#..#.######..#...#####.#..#.#..#.#..#..##.#..##.#.......#...#....#...........#...#....#######.####.#....#.#...###.##..###..##.##...#.##....##.###.#.#..#....####.#########...#.##....##.##.##.....###.#...#.......######.######.##..........#.#.##..##..#..#...#######..#..#######.###..#.##.##....##.##..#.#.##.#...####...##..#.###.###.#.#.#####.#.#..#.##...###.....#.####....#....##..##.#..##...#...#..#..##.###...#.##.#.##.#.#..#.####....##########.#..#.##.###....#.###.#.#...#...#......#
......#..#.##.#####..###..#....####..#.#..###...##.#..####.#.##.#.##.#.#....#...###.##..#..##.#..##....#.##.##......##.#..#...#..#..##.########.#....#.###.##...#..#..####..#...##########..########..#......##...#.######.##.##..##.##..#....#.#.#...#.##.#.####.###...#..##..#.#####....#.#..#.#......#.##.###.###..##.#..###...#..####.##.###.##.##..#..#..#...#####....###.##.#.###.##..#...###.##..##.....##..#.#.#.......##...#.....#.#..#.#.###.##.##.########.####.#...#...###..#####...###.#.#.....##.###.#
###..##.##.#.#..#.##..#.#.#..#..#..#....#..#...#####...##.##.#.####.#.##...##.#.#.........#..######..#.#.....#.###.#.#.#.####.#..........####.##.#.#.######.#.##.####....#..##.###..#........##...#..###....#...#..##...######.#.#..#......#.#.#.###..#..#...#...#....##.#....#..#.#..###........##..#.##...#.#.#.##......##...#.#..###..####.#...##.###.########..#######.####.####.##.##...###.#..#....##.#..##.#.....###...#.##.###.#.#.#.#..#..#.#.....#.####..#..##.#.#......######....#....#.#.##..##.#.##.#.#
###.##.#######.#....#...##..####.##.#....##.......#####.###..###......########.###.#.######..##...#.#..##.....##.#.#..###...#.###...#..#.#.#....#.#..##..#.#####.#.##...###.###..#.#.###..#.###..#######......##....#.#.###..#..##....##...#...##.##.##.###.########.##.#.##.#....#.##.#.##.#####..#....#....#####...#####.####.#..####..#.##.#.##..#.###......###.###.#...##..##.###.##.....###....##.#....####..###...#...##.#.#..#.....#####.##.#.####.##.#.##..#..#.#.#.#####.#....##....##.####..#..####.####.#
#.##.#..##..####.#.#..###.#.....##.#.##.###.#.#.#..#..#######.###..##.#.#..#.###....###..###.##.########....#...##.##########..#.##...#....#####.##.#######.##..#.##.#...##.#..##.#...#.#.#......#..##.#.##.##.####...#.#.#.##.#..#..##..#...#..##.######.#..#.####.#....#.#.#..#.....#..#...#.##....####.##.....###..#.###....##........#..#.#.##.###..##......#.###.#....#.#.#...#.###....##......#.###..#.##.#.##.#.###...##.#.##....#..###..##..##.#.#.#..#.#####.#.#..###...##..#.#.....#.######.##.###.####.##
.##.......#...##.#.###..#.###..##.#...##.#.##...#####..#.....##..##....#..#..##.#..####..##...##.#...........##..##.#.##..#....####.#.####.###.##.##..#......#.#...####.###.##.......#####..#.#....#.#...###....####....##..#..##.#.#.#..#####..##..##.....#.#...#..#.##...###....#...#.##.##.####.#...#.##..##.#..#..#....##...#.#....#..##......#.##.##.##...######.##.....#.####.##.#...######..##.##.#..#.#.#.####.###.####.###.......###.##.#...##...#..#..#.....#.##.######.##.###...#...##.....###.##.#...#.#
##.#..#.#####....####.#...#.....###..##.##.##..####..##.#.####.######..###..#.##....##.##..#..#.###.....#.####..##...#.##..###....##.......####..##..##.#.#.###..#####.#.#.###.#####....####..##..####.##.###.#####.#..##.#.#.###.##.#.##......#...###...#...##.#.###.#..#.#.....######..#....#..#..#....#..###.#...###...##..#.###.#..#.#..####...##.##.#.####.###.#...#.##....###.###.##..##..#..##.####.######...##.###.####..########..#..###.#..#.###.#....##..##....###.#...#.###..#.###.#.###...######.##.#.#
#.#.##.#.#..#..###..#..#..##.###.##.##.#..##.#.##.##.####...#####.#.#.......########..#...#######..##.#....#..##.#.#..###....####.....#.#####...##..###.##.#...#..#..#..##..##.#......######...#..####..##..#..###...##..###..##.#...##.#..#.#.###.....###.###.###...#..#####.#..##........#######.##..#.###.#####..#####.#..##.#.#...#.#..####.##.#...#..##.##.#.##.#.##.#....###..##.##.#..##.##.#.#.#.#.#.###.##.#..###.##.......####..##.#..#...#...#.....#.##...#.###.#..##..##.#..#.###...#.#.##..##.#..#.##.#
#.##..###.....##.#.###..#.##...#.#.##...#..####...##.##.......###.###.....#.....##.##..#.###.###.#..##...###.####.#......##..#.##..#...#.#.#.#####.###..#..##...###..#####..#..#.#..##.#..##....#...#.##..#..##..##..#.#.##..#####.##.#..#..#####.#.#....###.##..#...##..#..##....#..####.##..#..#######..######..#.#.....##.##.####..##..###.#..#.##.#..###..#.###....##.##.#.#.####.##.#####..#...###..##..#....#...####...##.........##..#.##.##.#.######...##.####..####..########.#.###.#..###..##.##.#....#..#
...##..#.#.#.#...###...#..##.##.###.####.#..#......#..###..##...#######...#...##.#..##.#..####...#....###.###.####..#.####.##...#..#.....#....##.#.#....#####.##..##......#.#......#.#..#..##.##...#..##.###.........##..##.#......######.#..#.#..#.#.#.#.##.###.##.#..#.#.###.###...#..#..##.#..#....#.#...##..#.#.#.#...##..#.#.#.###..###....####.#.#.#..#.#.##.###..###.#.#.###......#.##.####....#####..#.....###.#..####.##..##..##.######..........#....#...##....#.#..##..##....####.#..##.####.##..#.#.###.
...###.#.##..####..#..#####.##...###.##...##.#...#..#.#.#.####....###....#..##.###...###.#..###...#.....#..#####.....#.#.##.....##.....#.#..#.#..#...#.#.#.###.#...#.....#.##.#.....#.#######.#.####.#..#.###.##.#..#.#..###.#.####.##..#.#..####.....#.####..#.##...#.##.....###..#######.##..#.....#.##.####...#..#...#..#.#...###......#...#...#.##.##.######...#.#.#.###..###.#..#.#..#.##........#.#.#.#..#.##.#.###...#.#.###.#...#..#.#..#...#.#.#....##..####..#..########..##...#...##.###.###..###.#....##
#.####....#..##..###.#..#..#.###.........#.###..#.....##...#..#.#..#..#.#.....##..#.##..#..######....##..#.#.#....###.......#..#....#..#.#....##.#...##........#..###..#...#..#..#.#....#.##.##...###.###.###.###..##.#...##..#.....######.####..#..#..#.#.##..##.##..##.#..#..#...#.#....##.##.....##.###.###.####....#.##.###.#......##.#.#####..#.###.#...#.###.######..##.#.#.#..###.###..##.##.##..#...##.#.#...#.##.##...##.#.###.####....#.#....#..#..##.##....##..###.#.##..##.#########...#......###.......
.###..#.#..##.#.#..####.#.##.##..#..##.####...###..#..####..#.#.#.###.....##.#.####....##......#.#.#...#..####..#.##.###.####.#...##..###.###.#.#.#...#..##........#.#..#.......#.....###..####.#..#.#......####..#..#.#.#..##..#...#.#.###..#..##.#..#.####..#.#..###.##.##...#...#.##...#.#..##.##.......##.##...##..#.##..#.....#...#####.##....#..##..##.#.#....###..###.#.##.#.#####.#.#####.###..###.##..#..#...#....##..##.##.###.#.#....##..#.##.#..####.#..##.#...###.######..#.####..#.#...####..#..##..##
#.......#.#......####.#..##########..#.##.#.##.#.##.##.##...#####..#.####.....#....##...#..#.#.##.#......###...##.#..#..#.#.#.####.#.##..##.#..#...##.#..##.##....###..#..##.#.#..###......###.#.####....###.#.#.###########....#..##.#.#...#.......##.#.#.#.##.#..##.#.#.##.#.###.###..##.....##..#.#.#..#.##.#.##.#...#..#.#..#.##.#####.#..###...#.##.##.####..##..######...##.#...###..#.###.###...##..####..###..####.#.#.####..#.###.#....#.####...###..##..#....####.####.#.######...######.#.###..#.....#...
...##...##.....#.###.##..#.....#....#..#....#####..####..#.###.#.#.#.#...#..##.#.##.#....#....##.#...##..##..####.##.###..##.....#..##.##.........##...#..#.##.#...#...#.#.##.##....##..#...##..##..##.......#.######..##...##.##.#..#..##..###.#.#....###..##..#..##.###.##.#.#.....#...##.###.#...#......#..#####.....##..#.##..####.#..#.#......#.#...###.#..###..#.#####.#....#.#######.#.....####....#.#.#.####.#.....##.##...#####.##..##..#.#.###.##.....#.#.....#....#.#..######.#..####.#.##.###..#...#.##.
.#.###.##.##.#.#.##..##..##.##.#####.#..##...##..##...#.#.#.#.#..######.##.#.#..#.#.######.####....#..#.#.......#...##.#.#...#.###..##.###.#....#....##.##...#..#.##....##...#....#..##...#.#.##...#.###.##..#...#...#...#..#...#.####.#....#.....#.##.#....#.##..#...#.#####..###.#..#....#.#####.#..##.##..###..#.#.#.#.#######..###.#...#....#..#.###..###....#..#..#.#####.#..#.....#.###...#....##.####...##...#.#.###.#.....##.#.#..#.......#.....#.#..#.#.#..#...##..#.#.####......#.#.....#.##....#.....###.
..#...#.##.#..#..##...##.###.####...####..###...###.....####.#...#..#....##.##.#..###.#.####..##..#..#.##.###..#..###.##...##..####.######.###..#.#.........####.#.#.##..#.#.####.###....#.#.####.##...####.##.###.####.####...##..##.##.###.####..#####...##.#.#..#..##...#.##....#..#....####.#..###....#.##...##.####..##...#.#..###..####.#.#..#.#..#..######.#....##.##.##....#.##.#######...#..###..###.#.....#.#.#.####.##.##..#..##.#..####.##.....##..#.#.#.##.#...##.##...#.####.....####.######.##..#.##.
#..#.##..####.#..##..##....#....##.#..#....##.#.#.##.##.##.#.#..##.##...###.##.#..##...#...#.##.####.#..##..#...#.#.##.#.##.##.##.###.#..###..##.#...##.##.####.##......#..##..#.####....#.#.#.#..##..#...#...#.#.####.##.##.##.###.##...#..#.......#.#..#...##..#.#.##.#..###.##.#..#..##.#..###.##..#.#..##...##...#.#...#.#.##.##.##...##....##.#.#.##.......###...##..#.##.#.#..#....###.#.#..#..##..##......#..##.####.#####...####.#######..##.##.##..#..#.#.#.##.####....####.###.#.#.##...#..##.#.#.#..#.#..
..#.##.#.###.#..##.#..#..##.....#...##.#.##..##...#..#...####..##.##..##..###.#...##..#.##...##...#.#.#.#..##.#...###...#.#....##.#.###.###.##.#.#..#...#...#..##...#...##..#...###....#..##.#..##..######..#.....#..#.....#..#..##..##..#.#.###.#####..#.##.##..##....####.##..#.#..###.#..#.#.#...#####..#..##.###..#.#...#..######.##..####..#....#...#....##.#.#..#..#####...#.#.###.#####.#########..#.#.#.....#.###.......##...##..#.#..#.##..###.##.###..##...##.###....###.####.#..#..#.##.#.####..##..#.#..
..##..#.......##.##...###.##..#####...#.###..#.#..##.#.#.##..##........###.....###.####.#..#.####.######.##...#.###..#####..#.#.##...#...###..###..#...#.....##..##..#..#..#.##.##.####..#.##.##.##.##.##.#.###.#.###.###.####..####..#..##..#.#.##..##.###...#####....#.#..#..#.#..#.###.#.###.#.###.###.##.#..###...##..#.#.#...###.#...#.##.###########.#..#..##.#..#.#.##.#.##..##....#..#.##.##..#.....#..#.#.#.##.#.#.#....#.####.#..#..#.#..#..###.#.#...##.#..#..#.#.#...#.#.....#.###.##...##...##..#....##
..#..##..#...#..#....##.#...####..#####.#.###...##...####.####.####.#.#.###..##.####.#.......##....###..#..#.###.#..###..###..#########..#.#....#.#.#....#..###..#####.######.##.#......#....####.##.#.#....#..#.#.###..##.####..#..#.###.##..####....#...########.....#..######........###...#####.####...####.########.##...#...##..####.##....###.....#..#..#...#.#.##..#.....#.....#.........##....##.#...###.###.#..#.#.#..###.##....#.###..##.#.#.....#.#..###.##.##.#.##.#..####.....#.#.#..###..#####.##..#.
######.###....##...####.#.###..#..##.##.###.###..#..###.######.##..#...###..##.#...##....##.##.#..#.#.#..#.##.#.....###.####.##.#...###..#.##..#......#.#.###.....##..#.##.####.#.#.##.#.##...##...#...##...#..####.####.##...##....######.##.###.#....#..##.#..#.##.##.##..#.#....#.###..####..#.#..#.###.##....#.#.....#.#.###.#..#########.##..#####.#.###.##...#.#.#..#...###.##.#..####.#...#.######..#.#..#.##.#.###...###....##.##.#.#####.###.##.#.##..#......###.#.....##..####...#.....##..######..#.#....
#..#..#####.#.###...#...##...#.#####..##...#.####..#.##.#.#..#....##.###.#.##.#######..#.......#.####.##...###...####.#..#####.###..##.###.###....##.#.######...#.###..#...###..#####.###.#...#.#....##.##.##...##.#..#.####.#.#.##....###..#...#...#.#..#.....#.#...#.####..####...##....#.#.#..#..##.#..##############.#.#..#.##....#.####.###.....#####.....##..##.####.##...#.#####.#.##.#.#.#.#......#..#..##....####...#.#.#.####.#.##.#..#...#.#.###..##....###.#...#####.#.#..##.#.###......###...#.##..##.#
..##.#...#.#.#..###.###...#####.#.#..##.###..#.##.#.####.##.###..#.#.##....###..##..#.###.#.....##.#####....#..####.#.#.#....#######.##..#.#..####.#....##.#.#.###..##.#.##..##...#.#...##..#...#.##...###.#..####.#......#..#...#.##.###...#...#.#..#..#.#.##..##..#...###...######.#.#...###...###.#.#.#.#..#..##...###.##..##.##...#.####..#..#####.##.#..###...##..##.#.##.###..#####.#..#......##..#.#.###...#.#.#...#.###.###...#...##.#..#.#.#####..#..#.##...#...#..#..#.####..#.##..##..##...##.......#.#..
##########.#.#....##.........##..#...#.#.#....#####....####.#.#####.##..##.##..#..#.#.###....#.#####.##...#....#...#.##.#..#....#.#.###.....#.#..#...##..##..#.#..##...###.##.#..#........#..##...#####.####.#.#..##...##..###.##...##.#.#.##.#....##.##...##...#...#.......###.#..#####.#..##..#...####.#.#.#.#..#..#..####.....#....#######.#.###...#.###......#######.###..#.#.#........#.#......#.#...###.#.#.#.#.#.#.#...#..##..#.#.#...#.#.#.##.....#####...#.........##.##..####.###..###.#.##.#.#.#.####.###
###...#..###....#.#....#.###..#..#..#..#####..#.#.#.##..#..#####.##.....#.#..##.#.#..##..#..##.####.#..###.#.....#.#####...#.#...##...#...#..##.##..####..###.####....###.##..#.##..##....#...####...##..########.....#.......#.#.....##.#.##.#####.##.####..####.#..#.#######.##...#..###.#.###..#.#.#####..####.###..#.#.##..#......##.#......##.##..######...#..###.##.#....####..#..#..#.#......#..######.###.#.#.#.#..####.##..###..#.#######.#####..####..#.#####..#....##.....#..####..#.#.#...#..#...#.##..#
.###....#########.....##..#...###.##.#.#.##.##.##.#.#..##.#..##...#####.#..#...##........###.#.##.##.##.#..##..#..#.####...#...###..#.##..#.#..###.#......#..#.....#...#.#.##.#.##.#.##.#####.#..#####.#..##.###.####.#..#.##.##.#...#########.###.#..#..#.##.#.###.##.....####...####..#.###...#...#.###...###..#...#.#.#.....######.#...##.#.....#.#.#...##.#.##..####.##...#.#..#.#.##..##..###....#.#...####.#.##.#.####..#.#...#.#..#.#.#..#.#.#....#.#.#.#####..######.##..#..###...........###...####.###....
.##.###..#.####..#...##.###.#..#.#.#..##.....#.##...#.#.##.##....###.#.#.#..##..#.##.##....#.##..##..##.#######.##...#....###..##....##.#.##..#...#...####.##...####.##.#...###.#####.##..#..#..####.#..####.#.##.###.#####.#.##.##.#####.###.##.##..#.#.#.##.....#####.##.#.#.#.#.##..##..####.####....#..#..##..#.#.###......##.#..#.#.###.###...#####..#..##.#..##.#...##.###.....#...#.####..#.#.#.#.###.#.#.###.###..##.#..##.##....##..###....#.#...#...#.#...#...#.#######..#..##...######.#...#...#...###.#.
#..#.#.#..##...####.#.##.###....##.#....#.#....##..##....##.###..#.#.#.##.#.....#....#..#..#.#.#.##.##.#.#...#..#....#.###.##.#.##..######..##..#.#.#..##....###..#..#.###...##.##.#.###..#.#.####..##.####..#..########..#.#..#..##...#####..#.##...##...###.##...#.##..#.#...##.#........##..##.#.##...###.....#......#.###...##.##.##....#.##.###.##.#..#.#.####....#######.#####.#..#.#.#...###...#..##.####...#.#.####...#...##..#.#.#.#.....###..###.#.#..#..###..#.##.#....#..###.##.###.##.###.#.#.#..#..#.#
#..#...#..#..###...######.#...#...####.#..#.##..#..##..##.######.#..##..#.#.##.#...#..#..#....#.#..#.#.#.#.#.#..###..##.####.###......####...##.#..#.########....##.....#.#.##...#...##.#..##...##.#.....#...#...#..##.#.###.#.##....##.#..#.##..#.#.#.#......#.##...........#.#...##..#.#..#...#####.#.#..###.#.##.#.....####..###.#####.##..#..######...#.##########.#....###...#.#...##.#.###.#.##....#.###.#.#....####...#...#...#.##....#.########....#.##..#.#...######.#####.#..#.#.....##.##.##.#.##..##.##.
#####.#.#.#.#....#...#..##.#.##....####.#####..####.#...#.#.#...#...####...#......#.#.##.######..#####..#.###.#.#.#..#.##.#..#......#...###.#.#.##.###.##.#..###.#.#.#....#.....##...###.##...#####.##.......##.#.#...##....#..#.#######..###...#..##.#.#..#.##.#....#..####..#.#...#.##.#..###.##.###..#..###...#.##..#..####..###..###..#..##.##..#...##..##.#.##..#.##.#.#..#.#..###..#..#.##.#.#......###..........#.######..#..#..#####.#...#..#..#..#....##..#....#...########....#...###..#.##..##.#.###.#...
##..####..##.####.....##...#.#...######..#..##.#..#####.#..##.#.###.#.##.....#...##.#####..####.##...##.##..##.#.##.####.####.....####....###.##.##.##.##.###......#.#.#..##..#..##.#...####.###..#..#...#....#...#####..##.#.#..##.#...###.#.#.#....###.####..#.#.###.#.#.###.#.##.##.##.###.##..###.#.#..####.###.....#.#.##.##.#..###........###.#.##.#..#.#....###.##.##..#.#...##.#.........######.#.#.#.##.#.##..#..............#......##..#.##....###.##.#.####..###.######...#.##.#.######..#..........#...#
###.#..#.###..###########..###.####..#.##.##..#.#......##.#..#.#...##...#.###..##.......###..#.##.###.....##..#.#......##....####.#..######.##.#.###.###..###...#####..##.####...#.#...#.#..#..##....#.#......#.##..##.....####.#..#...##..###.#.#.##.#..#..##.##..#.#.#.#..#.######.#.####.#..#.......#.##.##.#...#..####.#.##....###.##....##.##...#.####.###.####..#..#...#..###.###.#.###...##.#...########.#.###.######.#####..#........##...#..#.#..##.####..#....#.........###....#...#...####....########.#.
##.####....#.#####....#..#...##...#..##.....#.....#.#####..##.###..#.#..######..#.##...#..#.#.###.#..#..###..#...###..##..#.#.#####.###.###..##.##.##..#.##..#######....#.##..##.#####.###..##..#.###...#.##.#.####.#.#.#.#...#.#.##...#.#.##..##..#####...#.####..#.##.#..##.#.#.#.#.####..####....#..####.##.#.###.#..####.##.##.....##.#####..#.####.##...#.####..#....#.#.###.##..#...#..###..##.###...######.#.##....####.##..#.#..##.#..####.####.#.##.##..#..###.##...##..##.#.##.##.#..#..#..##.##.##.#..#.#
#.###.######.##..#...#.#.....#####...##.#.###...#.#...#.##..##.#....####.##...#.####.###..#.#....#######.##...#.###..#.#...#..#..#..###....##.#.##..##..#...####...###.....#.#..#..##.....#.##...#.##.....#..#.#.###...#.#.####..#####.#.##########.###..#.##.###.###..#.##..##..###.##..#####.#...#.##..##.#..##....#.#..####..#.#.#.##...####....#.#..#.##....#.###.#...#.###.#..##..#..#.#..#..#.#.#.####.##...#.##.#.#..##.#.#...##.#..#...######......#....#....#.#...##....##.#..###..######...#.#.#.#..###..#
......#.#....#.#.....#.##.###.#..#.#..#.#.##...####..##.##..#..##.#.##..#.###..#...##.####..#.....##...##...#..#...##.#######..#.###.####.#.##.....#.####.####.#..#.##.#.####..##..#.#########.#..####.#.......##..#..#.#..##.######.####.#.#.#...##..###...#.#..#.###.......##.##.#..###..#.##.#...#..##..##.##...##..#....##.#..##.##...#....#####.#...##.#....####...###..#.#.#.###..###.#.##..##.#.##...##.##......#..###.#.#.##....###....#..#..##..##..#.###..#####.#####..######.#..#.##.##.#....#.#.###..##.
####.##.#####...##....#..#.####.##.#.#.#..#....#.#...........#...#.##..#..#.......#...###.##.....#..#.#..##..####.##....#....###....#..#...#.#.#..#...#..#.#...##.#..#.#...##.####.###...##.######.###..#...#.#.####.####.###.#....#.##....#..####.....#.#..#.#..##.#...#..####.##.######.##..#..###.#....##..#.#.#######...###.#.###...##.#.##...###..#.#.###.....##.#..######..##..###.#.##.##...###..#.##..#.###...#.####..#...####....###...#######.#...#...##...######..#.###.###..#####.#..#..###..#....#.###.
..#..#.#.#.#..##..#.#..##.....#....#.#..#..#.#.#..#.#...#.###.#.#####.##..###.#.###.#.###.####..######.##..#..##...#####.#....##.#.###.#...####....#...#.#....#......##..###.....##.#.##..##.......#.....###.##.#.###.#.#....#..#...#...###.#.#.#####...##.......#...#.#.#.#.....#..#.#.#...#.#..#.####.##.##.#..#..##.#.###.##..##.#..###.#.####.######..#.#..#..##...#...###.#.##.##....########.#...##.#.#..##...#..#......#.#.#..####.##..#.#............#..#.#.##.##.#..##.#.##..###..#.###.###..###.##..####.#
#..########.###.####..#.#.#.#....##.....#..#..####..##.#...#....##......####.####.#.###.#.#......####.##..#....#...#.######.#...##.###..#...#.#..######....#..#.##..#....##.####..###.#....#.........#.#.#.###.###.##....#....##.#..#..#...#...####..##.#..#....##.....#.####....#..#..###.##..#..##.##.#...##.#.#.#....#..#..##..##.#####..#.#...#.#..#...##..#.###.#...#.#..#....#...###.####.##...#...##...#.#..#..#..#...###...##.#.#.#.#.###....#.#.##...##.#...#####..###.##.#...###...#..#..#.#.####...#..#..
...#..#..#.###.#.##..###.###..###.##.#..####..##..#.#.#.#..#.#.....#..###..####...##.#.#..##.##.#...##..##.#####..#....###.#..#.#...##.##..#.#.#####....######.#..####..#...#......#.###.##..##...##...#...####.##...######.#....###..###.##.##...##.#..##....#..#.....#..#####.........#..#..#.......#####..##.....#...#..#..#..#....#....#.....#####...#.####.....#...##..####..####..#....##.#..#####...##.#.###...#.#.#####..##..#..#.####.##...##.#.#...#.#.###.##.#....####..##.##.#.#........#.##.####..#.##.
..#.##...#.##......##..#..#.#.##..#####....####.#.###.#####.#..#..#.#......#..####.#..#####.#...#.###....#.#.#.####.#.##.#.....#..##.......#..###.##.##...###.#.##..###.##..###.##.#...#..####.##.###..#.####.....#..#....##..####...###..########..##...#.#...##.....#..#.....##..###.#....##...#.##...#.###.....#.##.#.....####..##.###..###.###......#........#.#.#..###.......#####.....##..######...###....###.....#.##..#.#..#.#.#...#..#..#.#.#.#.#..#####.#.#.#.#.#.#..#..#.#.##...#.....#.....#.....###.##.
#......#.##.####.######......#.##..###.#.##.###.##.........###...#######..#.##..#...##.####.###..##...#.#..#.##.#.##.##..###..##....#.#.....#...##.##.#....#######..###.#.#.###.##.##.....#...#.#.#..#.#.####..#.....#.##..#.#.........#..#.###....#.#..#.#.#..##.######..##.....###......#..#.#....#################.#.#.#.#...#####...#.##.#.##..####.##.##.##....#.#.#.#.#.###.#.####.#.##..#....#.#.....##.#####.#..##...##..#.###.#.###.#.#.###....######..####....#####..###..##..#.#....##.#...#####...#.#...
..#...##....#.#.##...#.#..##..###..#..#.#.####.#.#..########...#.###.####..#....#..#...#.#.#..#.#..#.###.#.###.##.#.##...##..##.###.#.#.######.###..#..#.#.###.#####.#...#.#..#.#.#...#....#.##..#...##.##..#..#.#..#...#...##.##....#.#.####...#...#######.#.##.#.#.#..###.##.#.#.##.#..##..#.##.#...##..#.#.##..###.#...#..#..#.#...##.#####....####.#..#...###..#.#....#....####..##..###..#.#.#.#.###.#.#....#.##.#.#......##.##.#.....####.##..##.#.##.##.....###.#...##...##.####..#...#####.#...#...#####....
##.##...##......#.#.######..####.#.....##..#..###..##..#....##.###...#...#.#######.#.##.......#....#..#.##.#..##..#.#..##....##..###....#######...#..##.####..##.###.##...#..####.##....#.#####.##.#...#.#..###.#....##.##.##....##..##....##.#..#.#....#...#..##.####...#..###..#..#.##..##.###.#.##.#.##...#####...###..#..##..##.#........#.#.#..#....##.....##...###.#...#.######..#....#.#......#.##.##.#..#...#...##.#.#..#........##...#..#...##.#.#.#...#.##.###.##..#..#####....#...#.#...##..#..##.##.#...
.#....#..#....#.#..#.##.#..#####.#.#.#.##.#..#####.##..#.#.##.###.##....#..##.##.##..####...###..#...##.#.##..##.#..#.###.####...######.#..#.#.#.##.#....##....##...#.#..#...##.#.##...#..#.##...#..#...###.##.##.#..###.###.##....##....#.###.#..#....#####.#.#.#.#######.###.####.#.#.#..#..#....###.##.##.#####.####...#.#...####.#..#..#....##...#####....##..#..#.#.###...#...###.#..####.#.#.#....#....#.#..#..#######..#.....#.#.###..#.#####...#.##.##.#......###....#...#.#...#...##.######.#..#..#..#....#
#.###.####.######..#.#.#..#.#.##.##...#.#.###.###.###..#..#...#.######.#..##.####.#.##....#####.##.....#....##..####.#.#####...#.##..#.......####.##..##..######..#....##.##.#.###.#...#.#.###.#####.###.#.#..##.###.######.#.###..###.#..##.#..######...##.....#...#...#..#.#####..#.#.#.##..#.#..#....###.#..#....###...#.##...##.#.#..#.##.######...####.#######..#..###..##.####....#...#.######..##.###.......##.###..##..#.#..####.####..#.###..##.#.#.#..####.###.#####.......##..#####....#...####.#.#..#...
.###...#.#.##....#..##.#...###.#...#..###.##.#..##....#.....##...##...##.###.#....###.###.####.#....###......#.##.#..##.####...#.#.#####....#..#.####.#.#.##..#..#..#.####..#.#..##.....##.......###..#....#..####.##..#.#..#######.#...##.#.#.#.#.#..###.####.........#....#....###.#.#..##.###.##..#...##..####..#.##.#####...###..##....#.#######......#..#...###.##.....#.#.#.#.#...#.....#...####.##..#.#...##.#.#...###.#..#...##.####.##.#.#.##..###..##.#.###.#..#..##....#....###..##..#.##.###...####.###.
.#...##.#...#####..#..##.####..#.##..#..####...##.##..##....######.#.#.#.######..#..#..##..#..###..#.#...###..###.#.#...###...###.......#.##.##.##.###..###.#..###..#.#..#####.#.#.##.#.##...#.####.#####.#..###........#...#.#....#.#.#..#..#####.#....#####..###.#.##.##.###.#..#...##.#.####.#####......####.##.##.#.#.#..#...###.#...#.##.#.##...#.###..#.####..#.......#..###.##..##..#####..#.#......##...#...#####.#.##..###..#.#.##..#.#.#...#.#.#.#...###.#.###.##..#.##.....#.###.####...#..##.##...#####.
.##.##..#..##.#.....#..#...####..#...##.....#.##.....##...#.....###.#.#.###.#.######...##..#..#..#..#.####.###.######..#.#....#..####.#...###.#........#..#.##..#.#.#.##.#.#..#..#..####.###.###....##..#.#...###.##...####.##..#..#.###...#####..#..#.####.#.##.....#....#.#.....#...#.#....#.#.#.##.#..#..#..##..#######....#.......######.##...#.###.##........##.##...###...##.##....#####..##...###.#..#.#....#.#.###..#..##.##.#.#.####...###...###.#....#.####.......#.##...####..#.....##.##....######.##..#
....#.#...#....##.#...##.####.##..#.##..##...##.###.#####.###....#.#........#..#.##.#.#..#..#########..###.....#..###.....##.###.#.#.######..#.#.#.#...#.#.#.#.#.#....##.###..###.#####.#...#####...#.##..##.#.........###...........#.##.##.##...##.##.#...#.#.#..#.##.###.##.#..#####..#######..###....#.###.#..#.###..###.#.##.####..#..#.#####.#.##..#.#.##.##.##...######.#....#..#..##.#.##...##.#.###.##.#.##....#.###.##....#..###..#.#####......##..#.#..#..###..#.###.#..#..#..#.#.#..##..##..#.#.###.#.#.
.##...#.##...##.#.###.#..#.##...###.....#...#.##.#...##...#.#..###.#.#...##.###.##.#.......#.#.##.##.###...####..####.####...####.##.###.#.#...#..#..###..##...######..##...##...##..##....##.#..#.#..#.####.###.#...##.###..#..#...##..#..##..#....##.#.####....#..###.#.##.#..####..##..####.#.#...###.###....###.##.#.#####.##.#...#.###..#.....###....#####..#.#..#....###.#...#.###..#.#.#.###..........###....#.##.##.#..#.#....###..#####.#######..#...##..#..#..###...#..##.#.#..#.#..#.###.##.##......#.###
##....###..###.#...#.#.#....#....##...#.#...#..#####..#...#..#....#....#.#.#.####.##..#.#.###.####...#.#..##....#.#..###.##.##.####.###.#...###..##.##.##..#######....#..##.#.#.##..##.#.#.###.##.#.#.#.#..##.#..#..#.#......#.#..##..##.#...#.#.......##.#.#.###.....#..#####..##.....#..##..#....#......#.####.###...###.#.#...###..##...#..###..#...##.####.#.#..#..####....#.....##..#.#.#..#.##.#.##.#.#.#..#..##.#######.#..#########.##.######.#..##.#....#..#.#.#..##..####.#.#.#..###..##..##.##...##....#.
##..#..##..#.##.#.#..###.##.#..##..#.#.##.#....#.##.###.#....#...##.....#.###..###...#...##..##.#.#.##...###.#.#.#.#...##.###.##..#####.###.##.#.#####.....#.##.##.#....#..########.###.###..#..#.#.#.#....#.####.#.#....##.##.#..#.#.###.#.#.#####....####.##.#.##...#.#.##..#..###.#####..##.###.#####.##..##...##.#.###.#.##.##..#.#.###.#.......#..#..#....####...#..#...#.###.#.##.###..#.##..#..####.#..##..####.###...#.###.#....###....#.#.#..#.....#.#.#......#.#..#.#.#.####.#..#.##..##...###.#.####.####
.##.###...####.#..#.##.##.##.#.###..##........#...##..#.###...#.#..###.....#...#.#......#......####....##.##...#.#######...##...#..###...#.##.#..#..######..#..##...#.....#...######.........##.###.##....##....#.###.#.###....##...#.#...#.###.#.##..########.##...##..#...##.##...##..##.###..#######.#..#.##.......##.#..#####.#..##.#..####.#...###.#.#..########..#.##.#.##.#.#.###..###....#.#..#.##...####.##########.#.##.##.#...###..####..#..####..####..#.#..#####..#....#.#.#..#..#.####..###.##.###.###
####...##.##..##..##...##.##.#.###..#####.#.#.##..##...##..###..###.##.#..#.####..##.#.#.#####.##..#...#.####.##..#......#.....#...####..##..#.###...#........###...####..#####...###.#......#.#.##.#.##....####.#.##.#####.#####....#.#.####..#...##.#..###....#..#.#.###.###..##..##..#.#.##.##..###.#...####.#....########...#...####..####..#..###.##..#..######....#.##.......#.#####..#......#####..#.#.#......#.######..###..##.#..#..#..##..#..###.#..#.####...#.##.##.....#..###....#....#..#.#######.#.#.#
#.##..###.#....#...#.#......#######....###.####.##...#..#.#......##.##.##.##..####.###...#...####.###..###.#####.###....#.##...#.###....#.####...#.##.##.##.##.#..#.######..#....#..##.##.####..#....#...####.#.#.###.##..#.#.#.#...#.....#.####.#...#.#..#.###....#...###.#.#.###...##.....#..#.##.......#..#..######.###.###...#.....###.#.#..#.##...#.#####..###.##...#...#.###..#..####.#..###......#...####.#...##...#.####.....#.#.#.#.#.##.####.###....#...##...#.##...#.#.#..#.#.#.#.####.##.#.#...##.#.##.#
..#.#.##..#.#.#..#....###..#.....#...####.###.#..##.####....##.#.#..#..#...###....#.##.###.##.#.#....#.##..##...#..###..##..#..#..#..##..########.#..#..#########.......###..#...#####.#.#.##.#.#..#...##..#..#..#..#...##.#.##...####...........###.##..#.#....#..###...#.......#.###.#..####.#..#####.###..#.#####.#..##..#.....#..#.#.#.......##.##.#.######........#...#.###.....##.##..#..##.##.##.##..##..###....#.....#.##.#.#.#......####..#....##.###.#..#####...####.#..###..####.#..#.##...#####.#...####
#.###...#.##.###.##..#.##.##.#..######..#.##.#..##..##.##....#..##.##.#...#.####.....###.##..#######.......#..#.##..#.#.##.#..#....#.#...#.###....###.#####..##...#.#.#.###..##.##.#...#######.#...####..###.#.#..##..###...#....##.#####...#......#..#.#.#.###.#...#.#.#.####....#....##...###.###...##..####..###.###.###.#.#.....##...###.##.#.#.#..###.##..####..#..#...#.#.###...#####...##...####.####.#...##..##...#..##.#.####.#.##..##.#..##.####.#..#.#.#...#..#.....#.#....##..#.###...#.####..##########
.#.#..#..#.####.###.##.##...##.#.##.#.....#.#...#.##.##.#.##.###....#.#.###...#.......#...##..##....#...##.#...###.#..###.####.###..##.#....#...#....###..#.#.#.#....#.#.#.....##..#....####.#.#....##.##.##.####.##...#.#####...#....#..#.###.##..#...#.##.#...####..#.##.####.##.#.....####.####.#.#...#...#..###.##.#####.##.#.###.##..#....#...###...#...#...##..#..#####...##.##.#####.#..###.#...#####.#..##...#.#..##..####...#.##..#....##..##.##...#.#..###.#....#...#####........##..##.#..#..#...#.#.....
#.##..######.#.####.#..#.##.#..######..#.#..######.#..####...##.###.##..##.##........##...#....#...#....##.#..###...##.##...#.#.#.##.#.#.....##..#..#.#.##..##....#..#.##.#...#.....#...####.####.#.#.#.####...#..##..######......#..#.#..#.##.####..###....#.##..##....####.#.#....#..######..##...#.##.##.##...######..#.#.##..###.#..#######.##..###..###.##.#...####.#..###.##...#.....##...#.###..##.##.#.....#.#...#.#..######.#.#.###.#...#.##.###.#............#.#.##..##.#.##.###..##.#.##...###...#.#...#.
#....#####.#.#....#.#..##.#####.##.....##.#.##########.##...####...#.##.#.#......##.###...#.#....###.##...##.###..##.##.#...####.##...####.##.#....##.#...#...##.#####..###....#.###..#.###.....#....#...###....#.#.#.#..#...#..#..##.....#.#####....#..##.#..#...#..#...#######..###.#.##...#.##..........####.#..#...#.##.##.#.#.....#####....#...#....#..#####..#..#...#......###.##.#.#..#..#.#.......#.###..###.#.##..##....#.###.##..#.....#.##.##..#...##.##.#..#.#....##.#...####.#.###..##.#.#..##...###...
##....#.#####.##..##..#.#......####.##.###...#..######..##...###.##..##.###..##.#.##.#.#...########...#.....##.#......##...##.#####...#######..##...#...#.##.#....###..#.#....##.###.....#....#####.##.###.###....##..##..##.##.#..#.#....#.##.##.##.##..####..##..#######.##.##.####..#####.###..#....#####.#.#..##...#...####.#.###....##.##...###..###..##.######.......##..#####.####....#...##..#..#.##.##..##.####.##..##.##.###.###..#.#.#####.#..###..####.##.#.#.##.#.#...##.###..###.#..#...#...##########
..#..#.##.#.###....#...##.##.#.##..#..###.#..###....#.#.#.#.####.######.#####.#.....###.#..##..##....#.#..####.....#..#.#.#..###..##..###.##.##.####.#.#.#.......#.#.#....######..####.####....#.#.##.##..#.#.#...####.....##.#########.#.#..#..#.#.###...###.#.#.##..#######...#...##.###.#..###..#.....#.#...##.##....##.###.###..##.#.###....#..##.....#..#.###..#...####.###..###...##..##..###.#.##.##.#....##.##.#...#....##...##.#..###.#....#.....#.#.###.##...##.....#...#....####...#.#.#.###.###..#......
##..#.##.#..#.##...#.....###..#..###.######...##....#.#.#.#.#..#.#..#.#.#..##.##...#....##..#.###.#...##..#.#.###.#####..##...###..##.####.######..#.#..##.#..#..#####.....#.#.##..#.#...#.###.##.....#.#.....##..##.##....#....##.#...###..#.##...###..#..##.#...#.###.#.##.#.#.....#.###..##..##.##.####..###..#######....#...##.#...###.##..#.###..#..#..##...#.##.#...####.##.###..###.##......#.###.#.##..#..#.##.#..#.#....##...#.##.#...#.#..#.#####.#.....#####..#.#..#####..#.###.#..####.#####.#.#.#..##.#
##...#.#..#.##.###.#..#######.###....###..###...#.#..#...#.####.##.##.##.#...#.###...##.##..#.####.#..##....#####.......#.....#.#...##.#..##..#.#...#..#..######....###...##.#...#.#.#.######.##...##....####.#.#####.###..#..#..#####...#..#.....####...#.#..#...##.#####.##...#.#...#.#...#.###.##.##.###.##..##......###.....#.....##.#.##.#.##.....#.#.#..##.#..###.....##..#######.#.#...##...#.###........###..#.###.###.##...##.##.#..##.#.###.#.#..#.######.#.##.#.###..#.#..#.#.#.....####....#..#..#.#..#.
...####.#.###.###..#....##...#..#...###..#..#....#.#.#.##..##.#.##..#..#.#...#..#...##..#..##..#.##..#..#.###.#...##.....#..#..###.###...#..#....#..#......#.##.#####.###.###..#..#######..#.##.#####..#.###....#.##.#.####...##...#...##.........##.##..######..##.#.####.#..##.#.#..##.#..#...##...##..###..##....#....#...##..#.####...##.......#...##.#...####.#.###....#.##..####...##..##..#.###...####.##..##.####.......###....##.##.###..###.##....###.###..###.##..#.#.##.##..#.##..#....####.#.##.###.#..
.#.....##.........#..#..#..###.#.####..#..#..#..#..#..#####.#..#.##.#....###.#.##.#.#####..#.####....###..###..#.#.##.#.#.....#....#..#..#.#..#.###.#.#.##.#.#.........#..###...##.#....##.##....#...#.#..#.#...#.#..###..#####.#.###.####..###.#####....##..##.##..###.#...#...#..##..#.....#..#...####.###.#..##.#.##.#####.#.##...#####....###...#..#.....#..##..##.....##.###...##.#.#.####..#..###.#..##.#.##.#......#.#..####..###.#.###..#####.#....##..##..#...##.......###....#...#...#..#####..###.....#..
#.#..#....###..##.####.#...###.#...#.######.#.#.#.##.#.#..####.#.###.#..#.#...#.###.#....#.##.#.#.#..#.#...###..#.#.#.#..###.##.###.###.###.##.###.#...#####....#####.##.##.####.####.#..#..###.#...###.#####.##...#..#####.#.....##..#..##..##..###..#.###.##...#####.###...####.#.##..#...##.##.#.###.......##...##..#.#..####..######.#####.####....###.#...##.#.#######.###..#..#....#...#..##...##..###..###.##..#..###..#.#...###...#..#..###.#...##.#.##..#..#..#..#.#..####.##.#.###.##.##..##.#.#..#.#..#.#
###....##...####...##..#...####..##.#.##.###.#.#####.##.#....####..#.##.###...#.###.##..#.##.##.#....#####.#..#.....#..#####...#.###.#..####.....#.#.#...#..##.###....#.#..#.###.##.##..####.###..###.#.#.###.###.##.....#...###.#######..#...###..#.....#######..#..#....#..#.##...##...#...#..#.##.######..#####..#.##.#.#.#.....#.#..#.#.#..#######..#.#..###.###...###.#...###..#.#.##.###.##.####......###..###...##...##.##..#.###....##.####...##.#.#..##...#..#..#####..##########..##..##..#..##.#...#.#.##
.#...######..#.#...#.###.##...####.#..###.#...####..#..##.#...#.#..##.##...##.#.##..#.#......#..###..#.#...##...#...#.....##..#..###.##.#..##.#####..#..#...###.##...#.....#.#.##.#..#.#.##.##.#.#.#.#.#.#.#.#.#.......##.##.##.#....###..#...##.#...##..#.###..#.#...#.....#....##.....####.#.#.##....###...###.####.###.#..#...#..#####..#.....#.#.#.#.###..#.#..##..###.#..###.#.#.#.##.#..###......##.##.##.......##...###....#....#.###.##.#..##......###....###...###.##.#...##..##.#.##.#####.####.#...###..#
##..##.#......###.#.####.#..##..###.#.####....####..#####.#.#.#.###...###.#.#..##..##.##.####.......####.#..#.##..#....##..##.#.####.##..#...##.##.#.#.#.###.####.#.#.#.#..#..#..#.#....#####......#.....#.........#.....###.#..##.#####..##.##.#.#.##.####.#...#.#..#...##..##.####......###.###.#.....#..##..#.###..##.#.#.#.#.########.#..#.#..#..##..###.#......##.##..#..#..##.#.###...#.#.#.####.#.##.#..##...##......#...#.#..#.#.#####.#..#..##...###...#...##..#...##..##.#.#.#####..#.#..#.#.#.#.###..###.
#..#.##.....#.###.##...#.##.#.#..######...#..#.....##..###.##..######......#.#####..#..###.##.######...#.#....#####.#.#..#.#.####.##...#######..#.######.####..#..#.###..##..#..#.#######.###..##.#.......##..#..#...#..#...#..##...#.###.#.###..##.#..#..##..#..###...#...#.#####.####.#..##.#.####.#.##.######.##.##...#.#....###.###.##.#.####.###...###.#.......##.#.#########.#####..#..####.##.#...##.######.##..#..#.#....##.#.#.###.#.#.#..####.##.#..#.##.#.#.....#.##.#.####...#.#.###...#...####..#....##
###.##.###.#.##.#.....#..#.#...###.#.#.#####..##..#..#####...###.##.#........###....##.......#.....#..##.####.#.#.####.#####....#.#.#....#.##..#..#.##...##.####....#.#...#....##.##.#..##.#....#..##.#.#...###..##.#.##.#.#...###.#..#.....#..#.#.###.#.#.####...####..#...######..##.####.#...#.#.#..##..##.#..###....##.##.#.#.######.####.#.###...##.#..#.##.#.....#.#.##..#.#.#..##.#####..##.#.#........#...#.###.###..#.....#.....##..##..#..#..#.#.#.#######.#..###.##.##.....#...#....###.#.####...#.#.####