1000
##..#..#.##.#.###.###..##..##.##........#..##..##.##.....#...##.#...#..###..#######...#.##..###..##..##.#.#.##.###........##..######.####...###.###.####...#...##..##..##..#........###.##.###.#...##....#.#...#.###.#..####.....#.#..##..##.###...####.#.###..####..###.....#...##.#.##..#.#..#.##..######...#..##.##..##..#####..###....###.#...#.###..#..##.##..#..##.##.###..#.#..####.#.###..####..###.....#...##.#.##..#.#..#.##..######...#..##.##..##..#####..###....###.#...#.###..#..##.##..#..##.##.###..#.#..####.#.###..####..###.....#...##.#.##..#.#..#.##..######...#..##.##..##..#####..###....###.#...#.###..#..##.##..#..##.##.###..#.#..####.#.###..####..###.....#...##.#.##..#.#..#.##..######...#..##.##..##..#####..###....###.#...#.###..#..##.##..#..##.##.###..#.#..####.#.###..####..###.....#...##.#.##..#.#..#.##..######...#..##.##..##..#####..###....###.#...#.###..#..##.##..#..##.##.###..#.#..####.#.###..####..###.....#...##.#.##..#.#..#.##..######...#..##.##..##..#####..###....###.#...#.###..
##.###...#.#.#..#......#...##...###.....##...#..###...###.###..####..#.#..#.##..#.#.##..#####.#.#.#.###.#..#...#.#....###.....#####..##.#.#..####..##.##.####...#.#.#...##.#...##..##...#..#..###.#.#..#...####.#.#...#.#.#...###.####..###..#..###..###.##.#...##.#.#.#.##.#..###...#..#.#.##....##..##..#.##.#.#.#...######....#.###.....#..#....##.###...#.#..#.####.#.#.##.#.#..##..###.##.#...##.#.#.#.##.#..###...#..#.#.##....##..##..#.##.#.#.#...######....#.###.....#..#....##.###...#.#..#.####.#.#.##.#.#..##..###.##.#...##.#.#.#.##.#..###...#..#.#.##....##..##..#.##.#.#.#...######....#.###.....#..#....##.###...#.#..#.####.#.#.##.#.#..##..###.##.#...##.#.#.#.##.#..###...#..#.#.##....##..##..#.##.#.#.#...######....#.###.....#..#....##.###...#.#..#.####.#.#.##.#.#..##..###.##.#...##.#.#.#.##.#..###...#..#.#.##....##..##..#.##.#.#.#...######....#.###.....#..#....##.###...#.#..#.####.#.#.##.#.#..##..###.##.#...##.#.#.#.##.#..###...#..#.#.##....##..##..#.##.#.#.#...######....#.###.....#..#....##.###
.##...#.###.#.....#.####.##.##...##...###...##..#..##.#..#..#..#.#..###.#.#####..##......##.##..#...##..####.#...#.##.#.#..#...###.##.....#.##.#.##.#.#...#.##..#.####....#.....#..#.....#...#.##....##..##..########.######.#.#.#..####.####.#........##...##.....#.##.######.##.##.##...##...###...#.....##.#...##.##..#.###.#.#.##...##.######...#.....##.#.#.##.#.##.#.###..####......##...##.....#.##.######.##.##.##...##...###...#.....##.#...##.##..#.###.#.#.##...##.######...#.....##.#.#.##.#.##.#.###..####......##...##.....#.##.######.##.##.##...##...###...#.....##.#...##.##..#.###.#.#.##...##.######...#.....##.#.#.##.#.##.#.###..####......##...##.....#.##.######.##.##.##...##...###...#.....##.#...##.##..#.###.#.#.##...##.######...#.....##.#.#.##.#.##.#.###..####......##...##.....#.##.######.##.##.##...##...###...#.....##.#...##.##..#.###.#.#.##...##.######...#.....##.#.#.##.#.##.#.###..####......##...##.....#.##.######.##.##.##...##...###...#.....##.#...##.##..#.###.#.#.##...##.######...#....
#.#.##.####.#.###.##..##.#.#......####.####..#......####.#...##..##...#...##...######..##..#...#.######.##.###.####.#.#.##...#.....##..#.#..####.#....######.#.#..#####.##.#....###.#...#.##.#......#.....#...#..#####.#.#.######.####...#.#.#.#..#####.#..#.#...###...#.#..#..#.####...#.#..###...#..#...##..#........#...#.#.##.#.#.......#.#...#..#.###.#..####.#.#.###.#.##.#....#####.#..#.#...###...#.#..#..#.####...#.#..###...#..#...##..#........#...#.#.##.#.#.......#.#...#..#.###.#..####.#.#.###.#.##.#....#####.#..#.#...###...#.#..#..#.####...#.#..###...#..#...##..#........#...#.#.##.#.#.......#.#...#..#.###.#..####.#.#.###.#.##.#....#####.#..#.#...###...#.#..#..#.####...#.#..###...#..#...##..#........#...#.#.##.#.#.......#.#...#..#.###.#..####.#.#.###.#.##.#....#####.#..#.#...###...#.#..#..#.####...#.#..###...#..#...##..#........#...#.#.##.#.#.......#.#...#..#.###.#..####.#.#.###.#.##.#....#####.#..#.#...###...#.#..#..#.####...#.#..###...#..#...##..#........#...#.#.##.#.#.......#.#...#..#.##
...#...#.##..####..#.#..##.##..#..#...#.#.###.#.##.#.##.#.####..##.##...#.#..####.....##...###.#.##.....##.#.#.....###.#.#.#...#...##.##..#....##.##.#.....##.####.#..#.##.#..#.#..#.....####.#.##...#.#..#........#..#.##..#.......##.###.#.#.###.#.##.###..##....###..##...##..#.##..####...#...##.###..#####...##..##...###.##..#..#....###.#.....####.###.#...#.#.###.#..##.##..#.#.##.###..##....###..##...##..#.##..####...#...##.###..#####...##..##...###.##..#..#....###.#.....####.###.#...#.#.###.#..##.##..#.#.##.###..##....###..##...##..#.##..####...#...##.###..#####...##..##...###.##..#..#....###.#.....####.###.#...#.#.###.#..##.##..#.#.##.###..##....###..##...##..#.##..####...#...##.###..#####...##..##...###.##..#..#....###.#.....####.###.#...#.#.###.#..##.##..#.#.##.###..##....###..##...##..#.##..####...#...##.###..#####...##..##...###.##..#..#....###.#.....####.###.#...#.#.###.#..##.##..#.#.##.###..##....###..##...##..#.##..####...#...##.###..#####...##..##...###.##..#..#....###.#.....####
.##.####.#...#.#..##..####..#.##.#....#.#.##.#.#.###..####.#######.#..##.##.###.##.#...#.##..####.#.#.##.#.#....#......#....#.###.###..##.##...##.##..#..#.##.###.#.#...#.##.....#..##.#.##.##..##.##...#.###..##..###.###.#...#.#####.##..##...#..###.#...####..#.####.#####..####..#.#.#..#####..#.#.#...#.......#..####.##.#...#..#.##.#.#.#.####.##..#.###...##..#.###.#.#....##..###.#...####..#.####.#####..####..#.#.#..#####..#.#.#...#.......#..####.##.#...#..#.##.#.#.#.####.##..#.###...##..#.###.#.#....##..###.#...####..#.####.#####..####..#.#.#..#####..#.#.#...#.......#..####.##.#...#..#.##.#.#.#.####.##..#.###...##..#.###.#.#....##..###.#...####..#.####.#####..####..#.#.#..#####..#.#.#...#.......#..####.##.#...#..#.##.#.#.#.####.##..#.###...##..#.###.#.#....##..###.#...####..#.####.#####..####..#.#.#..#####..#.#.#...#.......#..####.##.#...#..#.##.#.#.#.####.##..#.###...##..#.###.#.#....##..###.#...####..#.####.#####..####..#.#.#..#####..#.#.#...#.......#..####.##.#...#..#.##.#.#.#.####.##..
#..##...##.###...#.##.##.#####.#...######....####.....##....########....#..##....###.#..######...#......##.#####..#.##...#..###.#.#..##..#..###.##.....###...##.##.#.....######.#.#..##.#..#..##..####.##....#.###.####....#.#####....####.####...###....##......#####..#..#.#.####.#.##.###.#.##..#.###....#.#..#.#.#........#.#####..#...####..##..#...#.#.##.#.#...###.#.#####.##.###....##......#####..#..#.#.####.#.##.###.#.##..#.###....#.#..#.#.#........#.####...#...####..##..#...#.#.##.#.#...###.#.#####.##.###....##......#####..#..#.#.####.#.##.###.#.##..#.###....#.#..#.#.#........#.####...#...####..##..#...#.#.##.#.#...###.#.#####.##.###....##......#####..#..#.#.####.#.##.###.#.##..#.###....#.#..#.#.#........#.####...#...####..##..#...#.#.##.#.#...###.#.#####.##.###....##......#####..#..#.#.####.#.##.###.#.##..#.###....#.#..#.#.#........#.####...#...####..##..#.#.#.#.##.#.#...###.#.#####.##.###....##......#####..#..#.#.####.#.##.###.#.##..#.###....#.#..#.#.#........#.####...#...####..##..#...
...#..#......#..#.###.###...#.#..##.#...##.###...#...##.#...#.......#.########.###.###..#..##......#.#...##..#.#.#.####..#.#.#.##..#.#.##...#..#.#..#...###..#.#.#..##.....#..##..####...##.##.#..#.#.#..#.#.#.##.####.##..##..###.#.#..#..##.###.#.#.#..#.#..#..####.#....#.#..#.####.#.#..###..##...###..####....##.##...##...#.##......#.#.#.#########.#.######..##..#...#.#.#....#.#.#..#.#..#..####.#....#.#..#.####.#.#..###..##...###..####....##.##...##...#.##......#.#.#.#########.#.######..##..#...#.#.#....#.#.#..#.#..#..####.#....#.#..#.####.#.#..###..##...###..####....##.##...##...#.##......#.#.#.#########.#.######..##..#...#.#.#....#.#.#..#.#..#..####.#....#.#..#.####.#.#..###..##...###..####....##.##...##...#.##......#.#.#.#########.#.######..##..#...#.#.#....#.#.#..#.#..#..####.#....#.#..#.####.#.#..###..##...###..####....##.##...##...#.##......#.#.#.#########.#.######..##..#...#.#.#....#.#.#..#.#..#..####.#....#.#..#.####.#.#..###..##...###..####....##.##...##...#.##......#.#.#.#########
#####....####..#......#..###.#..#.....#.##.#.##...###...#.####.#.....##.#.#.##.#..#.#.####..#.##.#..#.###.##.#...#.##..#.##.##..#.#.#.....##########......##.###..#####....##...#..#..##.#..#...##..#.##.#...#####.#.#....#.####...###.#.##.#.#.#...#..#.#.#....#.#...##.##....#####....#.....##.######.##.#.###.#...........###..#.#..##......#...#.###.####..#..###.#...###.#..#.#...#..#.#.#....#.#...##.##....#####....#.....##.######.##.#.###.#...........###..#.#..##......#...#.###.####..#..###.#...###.#..#.#...#..#.#.#....#.#...##.##....#####....#.....##.######.##.#.###.#...........###..#.#..##......#...#.###.####..#..###.#...###.#..#.#...#..#.#.#....#.#...##.##....#####....#.....##.######.##.#.###.#...........###..#.#..##......#...#.###.####..#..###.#...###.#..#.#...#..#.#.#....#.#...##.##....#####....#.....##.######.##.#.###.#...........###..#.#..##......#...#.###.####..#..###.#...###.#..#.#...#..#.#.#....#.#...##.##....#####....#.....##.######.##.#.###.#...........###..#.#..##......#...#.###.
..#####.####.....#.#.#.#.#.####..#...#.##...#.#.#.##..#.##.#....#####...##.....###.......##...#.....#..#..##....#....####.#.##.......#########.....#.##..########....#.#####...##..#...#.###..###..####...##.##.....##.#.#####.##.#.##.....##.#.#.#######.###.#.......##..#.##.##.##.##..####.######...#.#.##.#.##.###.#....######.##.#..#..##..###.###.#..##.#...###.#######.######.#######.###.#.......##..#.##.##.##.##..####.######...#.#.##.#.##.###.#....######.##.#..#..##..###.###.#..##.#...###.#######.######.#######.###.#.......##..#.##.##.##.##..####.######...#.#.##.#.##.###.#....######.##.#..#..##..###.###.#..##.#...###.#######.######.#######.###.#.......##..#.##.##.##.##..####.######...#.#.##.#.##.###.#....######.##.#..#..##..###.###.#..##.#...###.#######.######.#######.###.#.......##..#.##.##.##.##..####.######...#.#.##.#.##.###.#....######.##.#..#..##..###.###.#..##.#...###.#######.######.#######.###.#.......##..#.##.##.##.##..####.######...#.#.##.#.##.###.#....######.##.#..#..##..###.###.#
..##.####.####.#.#...##...#.##.##.####...####.#....####.....##..#.##.#..#...###.#..#..#.#.##..####.###..#.#.##...####.##.#.#..##..##...#..#.##.##......#..#...##.....#....####..##..#.#.##.##########....#..##..#######...#...#...#...#.....#.##.......#..#.#..#..##.###.##..##.....###....##...#..##.#.......##..#..##.#.####.....#.####.#..#..##..#.#####.#.#.###....##.##..##.#.#......#..#.#..#..##.###.##..##.....###....##...#..##.#.......##..#..##.#.####.....#.####.#..#..##..#.#####.#.#.###....##.##..##.#.#......#..#.#..#..##.###.##..##.....###....##...#..##.#.......##..#..##.#.####.....#.####.#..#..##..#.#####.#.#.###....##.##..##.#.#......#..#.#..#..##.###.##..##.....###....##...#..##.#.......##..#..##.#.####.....#.####.#..#..##..#.#####.#.#.###....##.##..##.#.#......#..#.#..#..##.###.##..##.....###....##...#..##.#.......##..#..##.#.####.....#.####.#..#..##..#.#####.#.#.###....##.##..##.#.#......#..#.#..#..##.###.##..##.....###....##...#..##.#.......##..#..##.#.####.....#.####.#..#..##..#.###
######..##.##.....#..######...##..#..#.####...##..#.###..#...#..##.#.....#.#######..#.#..#.#...#.#..#####.#....#..#......#.#........#.#..#..#..#.###.#....#.........#.#..#.#.###...####.###....#####...#..##...#####..........#######..#####.##.##.#....#......#####.#.##..#.....####.......##..###.##.#.....##....#..####....####...#.#.....##..#.#..###..#..##..##.#..#..##.##.#..#.#....#......#####.#.##..#.....####.......##..###.##.#...#.##....#..####....####...#.#.....##..#.#..###..#..##..##.#..#..##.##.#..#.#....#......#####.#.##..#.....####.......##..###.##.#.....##....#..####....####...#.#.....##..#.#..###..#..##..##.#..#..##.##.#..#.#....#......#####.#.##..#.....####.......##..###.##.#.....##....#..####....####...#.#.....##..#.#..###..#..##..##.#..#..##.##.#..#.#....#......#####.#.##..#.....####.......##..###.##.#.....##....#..####....####...#.#.....##..#.#..###..#..##..##.#..#..##.##.#..#.#....#......#####.#.##..#.....####.......##..###.##.#.....##....#..####....####...#.#.....##..#.#..###
.##.#.#....#..#...#.###.#..#.##.#.##.#.#.##....#..#.###.##......###...#...#..#.#.####.#....#######........#####..#.#...#..##...#...#.###...##....###.######.####.##....###.#.##.###......###...#.....##.##.#####...##.#.#..###..#......#..#..#..#.#..#####..#.#.##.#..#.#.#.#..##.#.#..#.....##.###...###...####..##..#.#...##.#..#.#..##.##.#.#..##..###.#....####..###..#..#.#.###.#..#####..#.#.##.#..#.#.#.#..##.#.#..#.....##.###...###...####..##..#.#...##.#..#.#..##.##.#.#..##..###.#....####..###..#..#.#.###.#..#####..#.#.##.#..#.#.#.#..##.#.#..#.....##.###...###...####..##..#.#...##.#..#.#..##.##.#.#..##..###.#....####..###..#..#.#.###.#..#####..#.#.##.#..#.#.#.#..##.#.#..#.....##.###...###...####..##..#.#...##.#..#.#..##.##.#.#..##..###.#....####..###..#..#.#.###.#..#####..#.#.##.#..#.#.#.#..##.#.#..#.....##.###...###...####..##..#.#...##.#..#.#..##.##.#.#..##..###.#....####..###..#..#.#.###.#..#####..#.#.##.#..#.#.#.#..##.#.#..#.....##.###...###...####..##..#.#...##.#..#.#..##.##.#.#..##..###
.#..#..##.#.##.#.##.##.##.#.......#####...##.......###.#...###....#.#..###.#.###.#.##.###...#..###...#..#..###..####.#.####....##.#..#####....#.#.#...#..#.##.###.#.##.#.###....#.###....#.#..###.#.####.#.#.####...#############...#.##...#.##.#.#.#.##..#.##.##.##.#...#.#.###.#.#.##.###.####.###....####..#.##.#.....##.#.....##..##...#..#...#####.#....####..###...#..#.##.#.#.#.#.##..#.##.##.##.#...#.#.###.#.#.##.###.####.###....####..#.##.#.....##.#.....##..##...#..#...#####.#....####..###...#..#.##.#.#.#.#.##..#.##.##.##.#...#.#.###.#.#.##.###.####.###....####..#.##.#.....##.#.....##..##...#..#...#####.#....####..###...#..#.##.#.#.#.#.##..#.##.##.##.#...#.#.###.#.#.##.###.####.###....####..#.##.#.....##.#.....##..##...#..#...#####.#....####..###...#..#.##.#.#.#.#.##..#.##.##.##.#...#.#.###.#.#.##.###.####.###....####..#.##.#.....##.#.....##..##...#..#...#####.#....####..###...#..#.##.#.#.#.#.##..#.##.##.##.#...#.#.###.#.#.##.###.####.###....####..#.##.#.....##.#.....##..##...#..#...#####.#
###.#...####.###.#..###.#...###.#.......###..#.##....#.#.#.##.#.##..#.##..#..#.#.####.#.#####.#...##..#####.#.##..#.##..#.##..#.#.#.###.##..##.##...###.#.###..#.##........##.####...####..####....#..#.#..##..##.###.##...#..##.##....#####.###....#..####.##.##......##.#..####.#...#......#....#.....#...#.#.###.#.##..########.#####.##.#...#.##...####.##...###...#.......##..#...#..####.##.##......##.#..####.#...#......#....#.....#...#.#.###.#.##..########.#####.##.#...#.##...####.##...###...#.......##..#...#..####.##.##......##.#..####.#...#......#....#.....#...#.#.###.#.##..########.#####.##.#...#.##...####.##...###...#.......##..#...#..####.##.##......##.#..####.#...#......#....#.....#...#.#.###.#.##..########.#####.##.#...#.##...####.##...###...#.......##..#...#..####.##.##......##.#..####.#...#......#....#.....#...#.#.###.#.##..########.#####.##.#...#.##...####.##...###...#.......##..#...#..####.##.##......##.#..####.#...#......#....#.....#...#.#.###.#.##..########.#####.##.#...#.##...##
.#.####..####..##.##...#.....#.######....##...##..##.####..#.#.....###...#.#...###....#####.###.##.#....#....#..####.#.#.#...#.##..######.#####.#..#..#..##.#.###..##.#.##.##.#.##...##..#.....##..###.....#......#..#...#..#..#.#..#...#....#..#..#..#..###..#......##..#####.##.#.#...#.##.#..##...#.##...###.#..#.#.#.#.##.#..#########..#.#.#.#.#.##.....#...#.#......##.##.##....#..#..###..#......##..#####.##.#.#...#.##.#..##...#.##...###.#..#.#.#.#.##.#..#########..#.#.#.#.#.##.....#...#.#......##.##.##....#..#..###..#......##..#####.##.#.#...#.##.#..##...#.##...###.#..#.#.#.#.##.#..#########..#.#.#.#.#.##.....#...#.#......##.##.##....#..#..###..#......##..#####.##.#.#...#.##.#..##...#.##...###.#..#.#.#.#.##.#..#########..#.#.#.#.#.##.....#...#.#......##.##.##....#..#..###..#......##..#####.##.#.#...#.##.#..##...#.##...###.#..#.#.#.#.##.#..#########..#.#.#.#.#.##.....#...#.#......##.##.##....#..#..###..#......##..#####.##.#.#...#.##.#..##...#.##...###.#..#.#.#.#.##.#..#########..#.#.#.#.#.##.
##...##..##.#....#.##..#.####.#..#...#...#.####...#.#.###.####..###.##...###...#.##.#......#...##...#.#.###.....#..##.##..#..##...#.####.#.#.####.#..###.#####..##...#.##.#....#.#.#..##.#..#...#..###......#..######....#.###...####......#.#.#....##.#....#.#..##......#.....##..####.##..##.#.##.##...####.##.#.####.##..##....##.....#...#..##.#.##..#.#..###.#.##.#.##.##..####...##.#....#.#..##......#.....##..####.##..##.#.##.##...####.##.#.####.##..##....##.....#...#..##.#.##..#.#..###.#.##.#.##.##..####...##.#....#.#..##......#.....##..####.##..##.#.##.##...####.##.#.####.##..##....##.....#...#..##.#.##..#.#..###.#.##.#.##.##..####...##.#....#.#..##......#.....##..####.##..##.#.##.##...####.##.#.####.##..##....##.....#...#..##.#.##..#.#..###.#.##.#.##.##..####...##.#....#.#..##......#.....##..####.##..##.#.##.##...####.##.#.####.##..##....##.....#...#..##.#.##..#.#..###.#.##.#.##.##..####...##.#....#.#..##......#.....##..####.##..##.#.##.##...####.##.#.####.##..##....##.....#...#..##.#.##..
#..##...###..##.#.####.#.###..........###....##.##..#.#...#.##.#.#..####.#####..######.#....###.#.###......#......###.#..#.#...##.#.#..#...##.#.....#..#.#....###..#.##.#..#####.#...#.###.##......#...#.##..#####.#..##.#...##...#.#.#.#####.#####..##...#.###.......#####.#.##...#.##..#.##.##..##.#.#..#...##.###...#....###...#..#....#.#.####.#######.#..#####.#.##..#...#.#...##..##...#.###.......#####.#.##...#.##..#.##.##..##.#.#..#...##.###...#....###...#..#....#.#.####.#######.#..#####.#.##..#...#.#...##..##...#.###.......#####.#.##...#.##..#.##.##..##.#.#..#...##.###...#....###...#..#....#.#.####.#######.#..#####.#.##..#...#.#...##..##...#.###.......#####.#.##...#.##..#.##.##..##.#.#..#...##.###...#....###...#..#....#.#.####.#######.#..#####.#.##..#...#.#...##..##...#.###.......#####.#.##...#.##..#.##.##..##.#.##.#...##.###...#....###...#..#....#.#.####.#######.#..#####.#.##..#...#.#...##..##...#.###.......#####.#.##...#.##..#.##.##..##.#.#..#...##.###...#....###...#..#....#.#.####.######
#...#...#.#..##....#.#####.#.#.##...###.####..##..###...#.##..###..#.#.#.#####..###..######.##.#.#.###.#.#.#..#..#####..#...###..#####.#..#...##..#.#.#..##.####.##..##.#.#.##....#..#.###....###...#.##..###...#.###..#.##.#.#..######....#.####...#.#.#.#..#....##.#..###....#.###.#..##...###.##.#...#...###....##......##.######..###....##.#.#.#..#.##.###..##.##.#..##.##.#.##...#.#.#.#..#....##.#..###....#.###.#..##...###.##.#...#...###....##......##.######..###....##.#.#.#..#.##.###..##.##.#..##.##.#.##...#.#.#.#..#....##.#..###....#.###.#..##...###.##.#...#...###....##......##.######..###....##.#.#.#..#.##.###..##.##.#..##.##.#.##...#.#.#.#..#....##.#..###....#.###.#..##...###.##.#...#...###....##......##.######..###....##.#.#.#..#.##.###..##.##.#..##.##.#.##...#.#.#.#..#....##.#..###....#.###.#..##...###.##.#...#...###....##......##.######..###....##.#.#.#..#.##.###..##.##.#..##.##.#.##...#.#.#.#..#....##.#..###....#.###.#..##...###.##.#...#...###....##......##.######..###....##.#.#.#..#.
.##...##.#...###....#.....###...#.#.#..#.#....#..###.#..##..#..####...#.#..#...#..#####.##...###...####.#.....#..##.###..####.#.##..#..###.#.####.......#...#...####.#.##.#.##....#...###.#.#.##.#.#.#.###...##.###.####.#.#..###.##...#.#.##....#.###..#..####...##.#..##.##......#...#.##.##.##.##..##...#...#.##.#.#.###...#..##...#.#####.##..##..###.#....#.....###...##...#####.###..#..####...##.#..##.##......#...#.##.##.##.##..##...#...#.##.#.#.###...#..##...#.#####.##..##..###.#....#.....###...##...#####.###..#..####...##.#..##.##......#...#.##.##.##.##..##...#...#.##.#.#.###...#..##...#.#####.##..##..###.#....#.....###...##...#####.###..#..####...##.#..##.##......#...#.##.##.##.##..##...#...#.##.#.#.###...#..##...#.#####.##..##..###.#....#.....###...##...#####.###..#..####...##.#..##.##......#...#.##.##.##.##..##...#...#.##.#.#.###...#..##...#.#####.##..##..###.#....#.....###...##...#####.###..#..####...##.#..##.##......#...#.##.##.##.##..##...#...#.##.#.#.###...#..##...#.#####.##..##..###
##.#..###.#.##.##.#..####.#.###.##..#.##.#.#.#.##.###.###.#.#.#....#.###...##..##.###.###..##..###.###...#.###.###.#..##....###..#.#..#.##.###...#...#..####.#........#..#.#.##.........#.##..#.#...#..##...#...#.#.#.##.###...#.#..#.##.....#..#.#..####.##....##.#..#############...#.###.####.#.##....###.####.#.#...##..#..#...#..##.#..#.#.####.#......#.###...###.##....#..##..#..####.##....##.#..#############...#.###.####.#.##....###.####.#.#...##..#..#...#..##.#..#.#.####.#......#.###...###.##....#..##..#..####.##....##.#..#############...#.###.####.#.##....###.####.#.#...##..#..#...#..##.#..#.#.####.#......#.###...###.##....#..##..#..####.##....##.#..#############...#.###.####.#.##....###.####.#.#...##..#..#...#..##.#..#.#.####.#......#.###...###.##....#..##..#..####.##....##.#..#############...#.###.####.#.##....###.####.#.#...##..#..#...#..##.#..#.#.####.#......#.###...###.##....#..##..#..####.##....##.#..#############...#.###.####.#.##....###.####.#.#...##..#..#...#..##.#..#.#.####.#...
###..#....##..#..#...###.#..#.##.....#.#.#...########.##.#####.#..##..##..#.####..##.###.#.#.##....#####.#..#...#..#..##....##.#...#...#....####..#.##..##.####.##.###.#....##..####.##.####..###..##.###.#.###...#.###....#####.#.#.###..#.#......####..##.##..#.#..#.##.##..####...#......#...####.##.#..#.#.##...##...####..#..##..####.#..#####..###.#..#...##.#.#.#.#.#.####..#..####..##.##..#.#..#.##.##..####...#......#...####.##.#..#.#.##...##...####..#..##..####.#..#####..###.#..#...##.#.#.#.#.#.####..#..####..##.##..#.#..#.##.##..####...#......#...####.##.#..#.#.##...##...####..#..##..####.#..#####..###.#..#...##.#.#.#.#.#.####..#..####..##.##..#.#..#.##.##..####...#......#...####.##.#..#.#.##...##...####..#..##..####.#..#####..###.#..#...##.#.#.#.#.#.####..#..####..##.##..#.#..#.##.##..####...#......#...####.##.#..#.#.##...##...####..#..##..####.#..#####..###.#..#...##.#.#.#.#.#.####..#..####..##.##..#.#..#.##.##..####...#......#...####.##.#..#.#.##...##...####..#..##..####.#..#####..###.
...#.#####.#####.#.#.##.#..####.#...#.#...#.....#.##.#...####.#..##..#.###...#.#.#...###......#.#.#.........#.####.#..###..##...#..##.##....###.###.##.#####...##..##...#...##...##..#.####..#.##.#..#..###.###...###..#..#.##.##.##..####.#..#....#..##.#....#..#.#.#.#..#.#.#.####...#.#.###.#..#.##..##.#....##...#..#.###.#.........#..........#.##...#.#..#.##.#.#.....#.#.......#..##.#....#..#.#.#.#..#.#.#.####...#.#.###.#..#.##..##.#....##...#..#.###.#.........#..........#.##...#.#..#.##.#.#.....#.#.......#..##.#....#..#.#.#.#..#.#.#.####...#.#.###.#..#.##..##.#....##...#..#.###.#.........#..........#.##...#.#..#.##.#.#.....#.#.......#..##.#....#..#.#.#.#..#.#.#.####...#.#.###.#..#.##..##.#....##...#..#.###.#.........#..........#.##...#.#..#.##.#.#.....#.#.......#..##.#....#..#.#.#.#..#.#.#.####...#.#.###.#..#.##..##.#....##...#..#.###.#.........#..........#.##...#.#..#.##.#.#.....#.#.......#..##.#....#..#.#.#.#..#.#.#.####...#.#.###.#..#.##..##.#....##...#..#.###.#.........#..........#.##..
.###.##.....#..#..###..#.###...##...#.###....#.#.#.....#.#....#.#....###..##...##.##...#.....###..##.#.##..#..#####..##...###.#.....##...#.###.##.##...##..#.#...##........##.####..#..#.#.#.##..####.#.....#####.#.##.####...#..#.##.###...#.#..#...####...#..##.#.#####.#..#.#.##..#.#...#...##..##.#.#####.###...#...#.###..#.#.##.##..#....#..###.#####.###..##.#.#.###...###...#...####...#..##.#.#####.#..#.#.##..#.#...#...##..##.#.#####.###.......#.###..#.#.##.##..#....#..###.#####.###..##.#.#.###...###...#...####...#..##.#.#####.#..#.#.##..#.#...#...##..##.#.#####.###.......#.###..#.#.##.##..#....#..###.#####.###..##.#.#.###...###...#...####...#..##.#.#####.#..#.#.##..#.#...#...##..##.#.#####.###.......#.###..#.#.##.##..#....#..###.#####.###..##.#.#.###...###...#...####...#..##.#.#####.#..#.#.##..#.#...#...##..##.#.#####.###.......#.###..#.#.##.##..#....#..###.#####.###..##.#.#.###...###...#...####...#..##.#.#####.#..#.#.##..#.#...#...##..##.#.#####.###.......#.###..#.#.##.##..#....#..###.###
###..####..#.#.....#.....#.#..#.#...##.#######.###..####..###..#.#.##.#..##.###.#...#.#.#.#.##.#..###.....#.#.##.#.#.....#.#.##.#..##....###.#.#....#######....#.......#####....##.#.###...###.#..##.##.####..###..####.##.#...##.#...#####.#..#.#..##.###.#.###.#.##..#.##...#..#..#...#..####.##......#......##..#.##..###.#...##.......#.###...####.#.##.#.#...##.###.##.#....#..#..##.###.#.###.#.##..#.##...#..#..#...#..####.##......#......##..#.##..###.#...##.......#.###...####.#.##.#.#...##.###.##.#....#..#..##.###.#.###.#.##..#.##...#..#..#...#..####.##......#......##..#.##..###.#...##.......#.###...####.#.##.#.#...##.###.##.#....#..#..##.###.#.###.#.##..#.##...#..#..#...#..####.##......#......##..#.##..###.#...##.......#.###...####.#.##.#.#...##.###.##.#....#..#..##.###.#.###.#.##..#.##...#..#..#...#..####.##......#......##..#.##..###.#...##.......#.###...####.#.##.#.#...##.###.##.#....#..#..##.###.#.###.#.##..#.##...#..#..#...#..####.##......#......##..#.##..###.#...##.......#.###...####.#.
##.##..#.#.####..#.###.#.........#####.###########.##.##.#...####..#..#..###.....#.#....#.#.......#####.#.#...###.##.#...#....#.##.#.##.#.#.#....#.#..#...#...#.#..#.#.#.#..###..##.###....#...#.#...#...##...#....###.#######.####.#...#.....###...####.##.#..###..#.##...##.#.#.##....#.###.##...##.##.##....###..##.....#.##..###..#####..#.###.#.#.####.#######.#....##..#.#.#.....####.##.#..###..#.##...##.#.#.##....#.###.##...##.##.##....###..##.....#.##..###..#####..#.###.#.#.####.#######.#....##..#.#.#.....####.##.#..###..#.##...##.#.#.##....#.###.##...##.##.##....###..##.....#.##..###..#####..#.###.#.#.####.#######.#....##..#.#.#.....####.##.#..###..#.##...##.#.#.##....#.###.##...##.##.##....###..##.....#.##..###..#####..#.###.#.#.####.#######.#....##..#.#.#.....####.##.#..###..#.##...##.#.#.##....#.###.##...##.##.##....###..##.....#.##..###..#####..#.###.#.#.####.#######.#....##..#.#.#.....####.##.#..###..#.##...##.#.#.##....#.###.##...##.##.##....###..##.....#.##..###..#####..#.###.#.#.##
..#..####.###.##.##....#.####....#.##...###.######.#...#.#######..##.###..#####.#.###.....###..#..#........#.####.###...##.#...####.#...##.#.#..##...###..#.###...###..#..#.#........######.#####.#.#...###..###..#..###.####...#.##.##...##...#..###.#..##....###....#..####..###.###.##.#####.#.##.####..#.##...###...##.####.##.#.#.#..###......###.#.......##..#.#.#.###..#...##.###.#..##....###....#..####..###.###.##.#####.#.##.####..#.##...###...##.####.##.#.#.#..###......###.#.......##..#.#.#.###..#...##.###.#..##....###....#..####..###.###.##.#####.#.##.####..#.##...###...##.####.##.#.#.#..###......###.#.......##..#.#.#.###..#...##.###.#..##....###....#..####..###.###.##.#####.#.##.####..#.##...###...##.####.##.#.#.#..###......###.#.......##..#.#.#.###..#...##.###.#..##....###....#..####..###.###.##.#####.#.##.####..#.##...###...##.####.##.#.#.#..###......###.#.......##..#.#.#.###..#...##.###.#..##....###....#..####..###.###.##.#####.#.##.####..#.##...###...##.####.##.#.#.#..###......###.#.
#.##...#####..###..#.#.#####...####..#.#.#.##..##..##.#...####.###..#.#...#..###..##.#..###.####..###########.#...###.##.######.....###.###..#..###...###.########.#....###.#.#.########.##.####.#....#.#.###..#####.##.###...##.#...####........#.#..#..##...##..##..#...#....####..#.#..##..#.....#.......#.##.#.##.###.#.##..#.#####...##...###...####.##.#...######..####..#.##.#.#..#..##...##..##..#...#....####..#.#..##..#.....#.......#.##.#.##.###.#.##..#.#####...##...###...####.##.#...######..####..#.##.#.#..#..##...##..##..#...#....####..#.#..##..#.....#.......#.##.#.##.###.#.##..#.#####...##...###...####.##.#...######..####..#.##.#.#..#..##...##..##..#...#....####..#.#..##..#.....#.......#.##.#.##.###.#.##..#.#####...##...###...####.##.#...######..####..#.##.#.#..#..##...##..##..#...#....####..#.#..##..#.....#.......#.##.#.##.###.#.##..#.#####...##...###...####.##.#...######..####..#.##.#.#..#..##...##..##..#...#....####..#.#..##..#.....#.......#.##.#.##.###.#.##..#.#####...##...###...####
.###.#.#.#.#.#...###.#.##.#.##.........#..##.#.###.......#.#.#.##.###.#.....#....#..#....#.###.###..##.#.#.#..#....##.####.#.#.##.#####.##.##.###.##....##..#.##.#.....#..#.#...#.##.##.....##...#.##.##.#...#..#.#..##.#.#.#.#.##.#.###.#.#.###.####...##.#.###.......##.....###.#..##.##..##...##.......####.##...##....#.#.#####..#####.#.#.#.....#.########...##.#..#.##.#.#..#.####...##.#.###.......##.....###.#..##.##..##...##.......####.##...##....#.#.#####..#####.#.#.#.....#.########...##.#..#.##.#.#..#.####...##.#.###.......##.....###.#..##.##..##...##.......####.##...##....#.#.#####..#####.#.#.#.....#.########...##.#..#.##.#.#..#.####...##.#.###.......##.....###.#..##.##..##...##.......####.##...##....#.#.#####..#####.#.#.#.....#.########...##.#..#.##.#.#..#.####...##.#.###.......##.....###.#..##.##..##...##.......####.##...##....#.#.#####..#####.#.#.#.....#.########...##.#..#.##.#.#..#.####...##.#.###.......##.....###.#..##.##..##...##.......####.##...##....#.#.#####..#####.#.#.#.....#.##
#.#..##.##......####..##.####..#..##..###..#..####.#.#.##..##..#..###..#.#..##..#.#.###.##.##......#....###..#####..##.#..#..#...#.#...#..#...#.##..##.#..##.#.#####...#.#.#.#.....##...#.#...##..#..##..#..###...#.#....#.......##..#..#....#...######.......#.##.#..##.#..#####..##..#.##..#..##.#.##...#..#.#.#..#..####...#.....#......###.###.#.####..##.###...#.#.##.##.......######.......#.##.#..##.#..#####..##..#.##..#..##.#.##...#..#.#.#..#..####...#.....#......###.###.#.####..##.###...#.#.##.##.......######.......#.##.#..##.#..#####..##..#.##..#..##.#.##...#..#.#.#..#..####...#.....#......###.###.#.####..##.###...#.#.##.##.......######.......#.##.#..##.#..#####..##..#.##..#..##.#.##...#..#.#.#..#..####...#.....#......###.###.#.####..##.###...#.#.##.##.......######.......#.##.#..##.#..#####..##..#.##..#..##.#.##...#..#.#.#..#..####...#.....#......###.###.#.####..##.###...#.#.##.##.......######.......#.##.#..##.#..#####..##..#.##..#..##.#.##...#..#.#.#..#..####...#.....#......###.###.#.####
##..##..###..#.#####...#.##..#..#.#..##...####.#..#.#...#..#..#.#.##..#.###......#.##..##.##..##..###.##.####.#....##....#.#.#...##..##.####...#.##.#...###..#.#...#..######....#.#.#..#.##.##..####....###.##.#####.###...#....#.#..###.####....##.#.#.#...#....#.##.###...##..#..##.#.####.#.###....###.#.##.#...#.##.##.#..###.#..#..##....######..#####.####..###...##...##..##.##.#.#.#...#....#.##.###...##..#..##.#.####.#.###....###.#.##.#...#.##.##.#..###.#..#..##....######..#####.####..###...##...##..##.##.#.#.#...#....#.##.###...##.##..##.#.####.#.###....###.#.##.#...#.##.##.#..###.#..#..##....######..#####.####..###...##...##..##.##.#.#.#...#....#.##.###...##..#..##.#.####.#.###....###.#.##.#...#.##.##.#..###.#..#..##....######..#####.####..###...##...##..##.##.#.#.#...#....#.##.###...##..#..##.#.####.#.###....###.#.##.#...#.##.##.#..###.#..#..##....######..#####.####..###...##...##..##.##.#.#.#...#....#.##.###...##..#..##.#.####.#.###....###.#.##.#...#.##.##.#..###.#..#..##....######..###
.###..#...#..##..###.##.#..#....#..#.#.###.###.#...##.#..##....#.#########.#...###.#..##.#.#.##...##..#.###.###.##.#.##...#..#.....###....#.#.###.#...#.##.##.##.########.###########.#####.#.#####.####.#...##....#.......#.#.##....#.##.#.########.##.....#.#..#.###...#.#..##...##....#.#.###.####.#....#.......########.##.######..###.###..###.....######...#..##..####....#...###.##.....#.#..#.###...#.#..##...##....#.#.###.####.#....#.......########.##.######..###.###..###.....######...#..##..####....#...###.##.....#.#..#.###...#.#..##...##....#.#.###.####.#....#.......########.##.######..###.###..###.....######...#..##..####....#...###.##.....#.#..#.###...#.#..##...##....#.#.###.####.#....#.......########.##.######..###.###..###.....######...#..##..####....#...###.##.....#.#..#.###...#.#..##...##....#.#.###.####.#....#.......########.##.######..###.###..###.....######...#..##..####....#...###.##.....#.#..#.###...#.#..##...##....#.#.###.####.#....#.......########.##.######..###.###..###.....#
.###..#.#.#..#.##.##..##..#..##.##.##...#.#.#...#.#.##.....##.#.#.#.#...####.#...###...#####.#....####..#......#.#.#...#..##..###.#..##.#.##.##......##.###...#.....#..#..###########.#...#..####.##.###.#...#####..#.##.....#....#...#.#..##.#..###.###.########.#....###.###..#.##.#....#.#..##.#.##....#.###.#.....#.###.##.####.#.#.....##...#...##.##.###.#.#.#.#..#.#...#.#..####.###.########.#....###.###..#.##.#....#.#..##.#.##....#.###.#.....#.###.##.####.#.#.....##...#...##.##.###.#.#.#.#..#.#...#.#..####.###.########.#....###.###..#.##.#....#.#..##.#.##....#.###.#.....#.###.##.####.#.#.....##...#...##.##.###.#.#.#.#..#.#...#.#..####.###.########.#....###.###..#.##.#....#.#..##.#.##....#.###.#.....#.###.##.####.#.#.....##...#...##.##.###.#.#.#.#..#.#...#.#..####.###.########.#....###.###..#.##.#....#.#..##.#.##....#.###.#.....#.###.##.####.#.#.....##...#...##.##.###.#.#.#.#..#.#...#.#..####.###.########.#....###.###..#.##.#....#.#..##.#.##....#.###.#.....#.###.##.####.#.#.....##...#...##.#
#.##....#.#.....#...#..#..#....#..#.#...#...##..#.....##..#..####...#.#.#.###....#####..##......##.#.##.....#.....#........#####.######.##########..#.##....###.....##..#...##.##.##..##.#..###.#.##.###.##.#...##.#.##.#..#.###.##.#.##.##.###..#...###.##.#.#.##.#.####..##.#.##..###.#..#.##.#.###.#...#.####.#.#.#.###.#......#..#.#...####..###.#.......#.....#....##.##....##.#...###.##.#.#.##.#.####..##.#.##..###.#..#.##.#.###.#...#.####.#.#.#.###.#......#..#.#...####..###.#.......#.....#....##.##....##.#...###.##.#.#.##.#.####..##.#.##..###.#..#.##.#.###.#...#.####.#.#.#.###.#......#..#.#...####..###.#.......#.....#....##.##....##.#...###.##.#.#.##.#.####..##.#.##..###.#..#.##.#.###.#...#.####.#.#.#.###.#......#..#.#...####..###.#.......#.....#....##.##....##.#...###.##.#.#.##.#.####..##.#.##..###.#..#.##.#.###.#...#.####.#.#.#.###.#......#..#.#...####..###.#.......#.....#....##.##....##.#...###.##.#.#.##.#.####..##.#.##..###.#..#.##.#.###.#...#.####.#.#.#.###.#......#..#.#...####..###.#...
####......#.....##..#.#.##.##.##.###....#.#.##.##.##..##...#.#....#..#.####.##...###.....#...#.#...#..#.####.#.#..#...#.#.#######.###..##...#.#####.#.#...#.#..#...#..#...#.#.##..###......#..##..#..##.....#..#..#..###.#..##.##.##.##..#.###.###.....##.####..#.#.#.##.#####.#.####..#...###...##..##...##.#######.###.....#.###..###..###.#.#######.###..#.#...#..#.#..#..#####..#.....##.####..#.#.#.##.#####.#.####..#...###...##..##...##.#######.###.....#.###..###..###.#.#######.###..#.#...#..#.#..#..#####..#.....##.#####.#.#.#.##.#####.#.####..#...###...##..##...##.#######.###.....#.###..###..###.#.#######.###..#.#...#..#.#..#..#####..#.....##.####..#.#.#.##.#####.#.####..#...###...##..##...##.#######.###.....#.###..###..###.#.#######.###..#.#...#..#.#..#..#####..#.....##.####..#.#.#.##.#####.#.####..#...###...##..##...##.#######.###.....#.###..###..###.#.#######.###..#.#...#..#.#..#..#####..#.....##.####..#.#.#.##.#####.#.####..#...###...##..##...##.#######.###.....#.###..###..###.#.#######.##
...###...#.#.#####.#####.##.#.#.#.####....##.######....#.#.#.###....#.#..#.#.###.######.###.##..#####.#....#..##....#..##..#####....##...#.##.#..###.#.##.#...#.#.#..#....##.##.#####.#...##..#..#.###.#######.##...#..##.###.###....###...#.###.####.##......#.#...##..#....##...#..#.#.#.##.##.#..#.##.###..###.######..####.#..####..##..#........##...#...#.#...###..#####.#.#.#####.##......#.#...##..#....##...#..#.#.#.##.##.#..#.##.###..###.######..####.#..####..##..#........##...#...#.#...###..#####.#.#.#####.##......#.#...##..#....##...#..#.#.#.##.##.#..#.##.###..###.######..####.#..####..##..#........##...#...#.#...###..#####.#.#.#####.##......#.#...##..#....##...#..#.#.#.##.##.#..#.##.###..###.######..####.#..####..##..#........##...#...#.#...###..#####.#.#.#####.##......#.#...##..#....##...#..#.#.#.##.##.#..#.##.###..###.######..####.#..####..##..#........##...#...#.#...###..#####.#.#.#####.##......#.#...##..#....##...#..#.#.#.##.##.#..#.##.###..###.#######.####.#..####..##..#........##..
##....#....#.#....#..#..##........###.#.#.##.....#.###......#.#.###.#.##..##..#.#...#.##.#.##....##.#.##..#####.###..#..#######..#...##..#.###......#.#...######.....##.###...#...##.#.##...#.....#....#.#.##......#.#.#.####.##.##..##.##......##....####..##..#.....#.##.###...#.#.#..###.##..##.....####..#.#########.##.##..##.#.###.#..#..##..#.##..#......#.##.#..##.#..###.#.#....####..##..#.....#.##.###...#.#.#..###.##..##.....####..#.#########.##.##..##.#.###.#..#..##..#.##..#......#.##.#..##.#..###.#.#....####..##..#.....#.##.###...#.#.#..###.##..##.....####..#.#########.##.##..##.#.###.#..#..##..#.##..#......#.##.#..##.#..###.#.#....####..##..#.....#.##.###...#.#.#..###.##..##.....####..###########.##.##..##.#.###.#..#..##..#.##..#......#.##.#..##.#..###.#.#....####..##..#.....#.##.###...#.#.#..###.##..##.....####..#.#########.##.##..##.#.###.#..#..##..#.##..#......#.##.#..##.#..###.#.#....####..##..#.....#.##.###...#.#.#..###.##..##.....####..#.#########.##.##..##.#.###.#..#..##..#.##..
#..##.#####..#.....#####.#.....#...###..#...#.#.###.#..#.#......##..#..#.#..#..#.##....#....##...#.###.#........###.#.#.#..##...#######......#..#..####.#.####.##.##..#.##.#.####.#...##.#...###.#.#.#.#...####.....#.#...#..##..#....#.##.##..#...##.#...#..##....#.#.###...###.####....#.....#.......#...#.#...##..##..#...#.#####.##.#.####.####.#..#####..#.####....###..#.#####..##.#...#..##....#.#.###...###.####....#.....#.......#...#.#...##..##..#...#.#####.##.#.####.####.#..#####..#.####....###..#.#####..##.#...#..##....#.#.###...###.####....#.....#.......#...#.#...##..##..#...#.#####.##.#.####.####.#..#####..#.####....###..#.#####..##.#...#..##....#.#.###...###.####....#.....#.......#...#.#...##..##..#...#.#####.##.#.####.####.#..#####..#.####....###..#.#####..##.#...#..##....#.#.###...###.####....#.....#.......#...#.#...##..##..#...#.#####.##.#.####.####.#..#####..#.####....###..#.#####..##.#...#..##....#.#.###...###.####....#.....#.......#...#.#...##..##..#...#.#####.##.#.####.####.#..##
.##..##.###.#..#.#.#########......##..##..####.####..#..#.#.....#...#..##..##...####..#..#.......###...###........#........#.#....##.##....#.#....#####.#.#..##....##..#..###.###.#..#.#........####....####.##.#.###.#....##.#.#...#.##.#...#....#.#.........#####.###.#..#.##.###.#..#.###.#.#.##..##.#....##.##.#.###.##.#....###.#..###.#...#..#..#.##.....##.#.##..##..#.###....#.#.........#####.###.#..#.##.###.#..#.###.#.#.##..##.#....##.##.#.###.##.#....###.#..###.#...#..#..#.##.....##.#.##..##..#.###....#.#.........#####.###.#..#.##.###.#..#.###.#.#.##..##.#....##.##.#.###.##.#....###.#..###.#...#..#..#.##.....##.#.##..##..#.###....#.#.........#####.###.#..#.##.###.#..#.###.#.#.##..##.#....##.##.#.###.##.#....###.#..###.#...#..#..#.##.....##.#.##..##..#.###....#.#.........#####.###.#..#.##.###.#..#.###.#.#.##..##.#....##.##.#.###.##.#....###.#..###.#...#..#..#.##.....##.#.##..##..#.###....#.#.........#####.###.#..#.##.###.#..#.###.#.#.##..##.#....##.##.#.###.##.#....###.#..###.#...#..#..#.#
##..#.#..########.#..####.#..#..##.####....#####.#.###.#...#..#######.##..##...##.#...#.##.......#.###.#.#.#.#.....###..#...#.##.#..#.###..#.#..##..###..##.##..##.#.###...#.#.#...#....###..##.#....#.#...#####....#####..####.#..#.#.#.##...#.#....#...#...#######.###..###..###..##.##....#..##.#.....#..#....#..####......#..#..#.#.###.#...#####.....###.##.##.#..#.##.#.#...#.....#...#...#######.###..###..###..##.##....#..##.#.....#..#....#..####......#..#..#.#.###.#...#####.....###.##.##.#..#.##.#.#...#.....#...#...#######.###..###..###..##.##....#..##.#.....#..#....#..####......#..#..#.#.###.#...#####.....###.##.##.#..#.##.#.#...#.....#...#...#######.###..###..###..##.##....#..##.#.....#..#....#..####......#..#..#.#.###.#...#####.....###.##.##.#..#.##.#.#...#.....#...#...#######.###..###..###..##.##....#..##.#.....#..#....#..####......#..#..#.#.###.#...#####.....###.##.##.#..#.##.#.#...#.....#...#...#######.###..###..###..##.##....#..##.#.....#..#....#..####......#..#..#.#.###.#...#####....
.####..........##.###...#..####.###.#.#.....#.##..#........###..#.###.##.###.#.######.###.###.#####..#...##..#.##.#...###.#..#.###.#..#..#...#..#.##.##....####.....###....#...##..#.##..##.#.#.###.#..#.##.#..##...###..#..#.....#.####..#..###.##..#....##..#####....###.#..##.#.#.##..#.#.####.#..#..#..#########.#...#.#.###.##..#.###..##..##..##.##.#..###.#.#..#..#.#.......###..#....##..#####....###.#..##.#.#.##..#.#.####.#..#..#..#########.#...#.#.###.##..#.###..##..##..##.##.#..###.#.#..#..#.#.......###..#....##..#####....###.#..##.#.#.##..#.#.####.#..#..#..#########.#...#.#.###.##..#.###..##..##..##.##.#..###.#.#..#..#.#.......###..#....##..#####....###.#..##.#.#.###.#.#.####.#..#..#..#########.#...#.#.###.##..#.###..##..##..##.##.#..###.#.#..#..#.#.......###..#....##..#####....###.#..##.#.#.##..#.#.####.#..#..#..#########.#...#.#.###.##..#.###..##..##..##.##.#..###.#.#..#..#.#.......###..#....##..#####....###.#..##.#.#.##..#.#.####.#..#..#..#########.#...#.#.###.##..#.###..##..##..##.##
#..#..#...#..#.###.###........#.####.#.#..#.##..#.#..#..#.....##..#.....#..#####.....##.#.##.###......#.....###.##.##......####....##..#.#..#...#..#.##.###......##..####....#.#######....#....#.#.##..#.##..##.##..#########...#..##.#.#.###.#.###....##..#.######.#..###..#.##.......###.#.#######..#.##.#..#...##.#..#.#.....#...#.#.###...##..##..#..##.##..##.#...###.##.####..##....##..#.######.#..###..#.##.......###.#.#######..#.##.#..#...##.#..#.#.....#...#.#.###...##..##..#..##.##..##.#...###.##.####..##....##..#.######.#..###..#.##.......###.#.#######..#.##.#..#...##.#..#.#.....#...#.#.###...##..##..#..##.##..##.#...###.##.####..##....##..#.######.#..###..#.##.......###.#.#######..#.##.#..#...##.#..#.#.....#...#.#.###...##..##..#..##.##..##.#...###.##.####..##....##..#.######.#..###..#.##.......###.#.#######..#.##.#..#...##.#..#.#.....#...#.#.###...##..##..#..##.##..##.#...###.##.####..##....##..#.######.#..###..#.##.......###.#.#######..#.##.#..#...##.#..#.#.....#...#.#.###...##..##..#..
#.#####.####..###..#....#.###.##.#..#.##.#.#.##....#.#..##.######.##..#####..##....#....###.##.#.###.###....####.#...##...##.#.#.##.###.###...#....##....##..#.#.###.###...#.##.#.###.##....#......#.###..#.#.#..##.####..#.##.##...####..#.#......###...#.##.##.#.####.##..#..##..#..####...#..#.....##.##...#.#.#...#..##.#....#..###...######..#....#.#...###.#...####.#.#....###..###...#.##.##.#.####.##..#..##..#..####...#..#.....##.##...#.#.#...#..##.#....#..###...######..#....#.#...###.#...####.#.#....###..###...#.##.##.#.####.##..#..##..#..####...#..#.....##.##...#.#.#...#..##.#....#..###...######..#....#.#...###.#...####.#.#....###..###...#.##.##.#.####.##..#..##..#..####...#..#.....##.##...#.#.#...#..##.#....#..###...######..#....#.#...###.#...####.#.#....###..###...#.##.##.#.####.##..#..##..#..####...#..#.....##.##...#.#.#...#..##.#....#..###...######..#....#.#...###.#...####.#.#....###..###...#.##.##.#.####.##..#..##..#..####...#..#.....##.##...#.#.#...#..##.#....#..###...######..#....#.
##.....#.##.#########.##....#......#....##.###..##.#..#.#...##.##.##..##.#.#..###.#.#....#.##...###......#.#...#......##.##.######.##..#.#.####..####..#...#.###......####.#.##..#..##.##.##.......#####..##...#...#.....#..#.##....#...#...#......###.#...#..#.#....#####....#.#..#######..##.###.##.#...#...#...##..#.#.##....#.##....#.#.#.###.....####.#..####.#...#.##.##..##....###.#...#..#.#....#####....#.#..#######..##.###.##.#...#...#...##..#.#.##....#.##....#.#.#.###.....####.#..####.#...#.##.##..##....###.#...#..#.#....#####....#.#..#######..##.###.##.#...#...#...##..#.#.##....#.##....#.#.#.###.....####.#..####.#...#.##.##..##....###.#...#..#.#....#####....#.#..#######..##.###.##.#...#...#...##..#.#.##....#.##....#.#.#.###.....####.#..####.#...#.##.##..##....###.#...#..#.#....#####....#.#..#######..##.###.##.#...#...#...##..#.#.##....#.##....#.#.#.###.....####.#..####.#...#.##.##..##....###.#...#..#.#....#####....#.#..#######..##.###.##.#...#...#...##..#.#.##....#.##....#.#.#.###.....###
#.###...#.##....##..##.##...#.##....#.###.#......####.#.#.##....#.#.#..##..##..##.#...#..##.#.#..####...#####...#.#.####.#.##.##.#...#.#...###..#.....##.##.#........##........#...###.......##..###.#.#.##..###..#.##...#.....##...##..##...##.#....##.#......#....#....##...#.#..#...###.#..##.....#.###......####.##.....##.#.#.###........##...#.#.####....#...#...####.##..........##.#......#....#....##...#.#..#...###.#..##.....#.###......####.##.....##.#.#.###........##...#.#.####....#...#...####.##..........##.#......#....#....##...#.#..#...###.#..##.....#.###......####.##.....##.#.#.###........##...#.#.####....#...#...####.##..........##.#......#....#....##...#.#..#...###.#..##.....#.###......####.##.....##.#.#.###........##...#.#.####....#...#...####.##..........##.#......#....#....##...#.#..#...###.#..##.....#.###......####.##.....##.#.#.###........##...#.#.####....#...#...####.##..........##.#......#....#....##...#.#..#...###.#..##.....#.###......####.##.....##.#.#.###........##...#.#.##
..#.###..####...##.#.##....#.#######.#########.###.##......##.#...#..#...#.#..###...#...#.##..##..##.######.#.....#.##...#.#....####..#..#..##..#....#.###.###....#.#..####..########.###.#...###..#.##..#..###....####..####.......#.#..##....##......#.###.#..#####.##...#....#....##.##..##..#...##..####..#.##.#######..##...#.##.###.#####.##.....###.##.##..#....#.#.#.###...#......#.###.#..#####.##...#....#....##.##..##..#...##..####..#.##.#######..##...#.##.###.#####.##.....###.##.##..#....#.#.#.###...#......#.###.#..#####.##...#....#....##.##..##..#...##..####..#.##.#######..##...#.##.###.#####.##.....###.##.##..#....#.#.#.###...#......#.###.#..#####.##...#....#....##.##..##..#...##..####..#.##.#######..##...#.##.###.#####.##.....###.##.##..#....#.#.#.###...#......#.###.#..#####.##...#....#....##.##..##..#...##..####..#.##.#######..##...#.##.###.#####.##.....###.##.##..#....#.#.#.###...#......#.###.#..#####.##...#....#....##.##..##..#...##..####..#.##.#######..##...#.##.###.#####.##.....##
.#.###....####..#.###.####....#.#.#.##.##.###....##.#....##..##.....#.###.##.#..#.##..#....#.#.#..##.#..#.###.##....#.#.####..##...#######....###.#.#.#.#.#.#...#..#####.#....#####..#..#..#.....##..##...##..#.#.##.#.#.#.##....###.#..#...#..#####.##....#..###.#...#..##.#...#.....#...#.##..###.#.#.###.#.#.#......##....#.#......##..#....#####...####.##.##.##...##.#..#.#.#.####.##....#..###.#...#..##.#...#.....#...#.##..###.#.#.###.#.#.#......##....#.#......##..#....#####...####.##.##.##...##.#..#.#.#.####.##....#..###.#...#..##.#...#.....#...#.##..###.#.#.###.#.#.#......##....#.#......##..#....#####...####.##.##.##...##.#..#.#.#.####.##....#..###.#...#..##.#...#.....#...#.##..###.#.#.###.#.#.#......##....#.#......##..#....#####...####.##.##.##...##.#..#.#.#.####.##....#..###.#...#..##.#...#.....#...#.##..###.#.#.###.#.#.#......##....#.#......##..#....#####...####.##.##.##...##.#..#.#.#.####.##....#..###.#...#..##.#...#.....#...#.##..###.#.#.###.#.#.#......##....#.#......##..#....#####...##
.#........#...##.#.####..#.###.#..###..##.##..####...#...###..##.#...#....#.#.###.#.#.#......#...#.#.#.###.####..##..#.###...##....#..#......#.#.###..#######.#.##.###..##.....#..#..#.....##.######.#...##############.#..#.###.##.####...##...##.##..###...##.##..##.##...##.#.#.##.##..#.#.#...#.....####.#...##.#.##.###......#...#...#.##.#####...#..#..#.#.##...#....#...##.###.##..###...##.##..##.##...##.#.#.##.##..#...#...#.....####.#...##.#.##.###......#...#...#.##.#####...#..#..#.#.##...#....#...##.###.##..###...##.##..##.##...##.#.#.##.##..#...#...#.....####.#...##.#.##.###......#...#...#.##.#####...#..#..#.#.##...#....#...##.###.##..###...##.##..##.##...##.#.#.##.##..#...#...#.....####.#...##.#.##.###......#...#...#.##.#####...#..#..#.#.##...#....#...##.###.##..###...##.##..##.##...##.#.#.##.##..#...#...#.....####.#...##.#.##.###......#...#...#.##.#####...#..#..#.#.##...#....#...##.###.##..###...##.##..##.##...##.#.#.##.##..#...#...#.....####.#...##.#.##.###......#...#...#.##.#####...#.
#.######..####..#..##...###..##.###.###.###.##.####.###.#....###.##...#..#.#######.#.##.#..##..#.#.#####.###...#..#..##....#..#..#.#.#.#..####..#.##.#.#######.#.#.##.##..#..#.###.#..#.#..#...##.##.#.#.##.#...###........#.##.#.#.###..#######..#.#....##..#.##.###.##..###.#..#.#.###.#####.##..#.#...#..#...####.####.#..##.#...#####.#.##......###.#...#.......##.###.#......##.#.#....##..#.##.###.##..###.#..#.#.###.#####.##....#...#..#...####.####.#..##.#...#####.#.##......###.#...#.......##.###.#......##.#.#....##..#.##.###.##..###.#..#.#.###.#####.##....#...#..#...####.####.#..##.#...#####.#.##......###.#...#.......##.###.#......##.#.#....##..#.##.###.##..###.#..#.#.###.#####.##....#...#..#...####.####.#..##.#...#####.#.##......###.#...#.......##.###.#......##.#.#....##..#.##.###.##..###.#..#.#.###.#####.##....#...#..#...####.####.#..##.#...#####.#.##......###.#...#.......##.###.#......##.#.#....##..#.##.###.##..###.#..#.#.###.#####.##....#...#..#...####.####.#..##.#...#####.#.##......###.#
..#...###...##.#.#.#.##.#.##..####...#.#....#.####.##.....#...##.....#..#..#####.#.##.#.#####....###.###.#..#....#..#######...###...######..###...#####.##.#.##..#.......####.#.#...#.#.##.#..#....#....#..#..#..#....##.#..##.##..####.#..#.###..#.....###.#.##.##.#..####.#.###..#....#..##.##.......######.....####.##..#.....#....#.###..#####..#..###..#.##....##.##...##.......#.....###.#.##.##.#..####.#.###..#....#..##.##.......######.....####.##..#.....#....#.###..#####..#..###..#.##....##.##...##.......#.....###.#.##.##.#..####.#.###..#....#..##.##.......######.....####.##..#.....#....#.###..#####..#..###..#.##....##.##...##.......#.....###.#.##.##.#..####.#.###..#....#..##.##.......######.....####.##..#.....#....#.###..#####..#..###..#.##....##.##...##.......#.....###.#.##.##.#..####.#.###..#....#..##.##.......######.....####.##..#.....#....#.###..#####..#..###..#.##....##.##...##.......#.....###.#.##.##.#..####.#.###..#....#..##.##.......######.....####.##..#.....#....#.###..#####..#..##
.....###....#....##.#..##....#.#..#.#.#.#..#...#...###.###....##.#.#..##..#....##.##..#...###.####...###.##..#.#..###..#....####....#..##..#.#..####..##.......#..#...##...##.###..#####.#...###.#.....#..#.#.##..##.#......#.##.#...##.#.####.#...#.#.##...#.#..######..#.....##.#......###.#.#.#.#..##..#.##....#.##...###.#...#.###..###..#...##..####...####..##.#####.##..#.##...#.#.##...#.#..######..#.....##.#......###.#.#.#.#..##..#.##....#.##...###.#...#.###..###..#...##..####...####..##.#####.##..#.##...#.#.##...#.#..######..#.....##.#......###.#.#.#.#..##..#.##....#.##...###.#...#.###..###..#...##..####...####..##.#####.##..#.##...#.#.##...#.#..######..#.....##.#......###.#.#.#.#..##..#.##....#.##...###.#...#.###..###..#...##..####...####..##.#####.##..#.##...#.#.##...#.#..######..#.....##.#......###.#.#.#.#..##..#.##....#.##...###.#...#.###..###..#...##..####...####..##.#####.##..#.##...#.#.##...#.#..######..#.....##.#......###.#.#.#.#..##..#.##....#.##...###.#...#.###..###..#...##..####
##..........#...#.##...######...##.###.#.###....##.#....#..#.##..##.#.#.#..#.....#.#.#........#..#.#...#.##..###.###..##..###.#.###...#.....####.####.###..#..##.#..##..####.#......#.##....#...##..##..##.#.##..###.#.#.#.###.#.##...#####.#.##.#...#.#.#..###.......#.###.#..#######.#.########..##.####.#.#.#####..#.#.....##..#.###.#...##....#...#.#####.#.##.#....###...#####.#...#.#.#..###.......#.###.#..#######.#.########..##.####.#.#.#####..#.#.....##..#.###.#...##....#...#.#####.#.##.#....###...#####.#...#.#.#..###.......#.###.#..#######.#.########..##.####.#.#.#####..#.#.....##..#.###.#...##....#...#.#####.#.##.#....###...#####.#...#.#.#..###.......#.###.#..#######.#.########..##.####.#.#.#####..#.#.....##..#.###.#...##....#...#.#####.#.##.#....###...#####.#...#.#.#..###.......#.###.#..#######.#.########..##.####.#.#.#####..#.#.....##..#.###.#...##....#...#.#####.#.##.#....###...#####.#...#.#.#..###.......#.###.#..#######.#.########..##.####.#.#.#####..#.#.....##..#.###.#...##....#...#.#
##.#..#..#.##.###.#.#...#...###.#.....#....#.#.#.###.##.##.#..###.#..##........#.#..#.##..#.....##...###...######.###.#####.########.#.###...##.#..####...#..#.#####.############.####.#....###..##.#........##.#.##.....#...##...#.#.#.###.###.###....##.###...###...##...##........##.#..########.#.###.#.#.##.#.##...#..#..#..#.#.##.##..#.####.#.###......#.###.#...##...####.#.##....##.###...###...##...##........##.#..########.#.###.#.#.##.#.##...#..#..#..#.#.##.##..#.####.#.###......#.###.#...##...####.#.##....##.###...###...##...##........##.#..########.#.###.#.#.##.#.##...#..#..#..#.#.##.##..#.####.#.###......#.###.#...##...####.#.##....##.###...###...##...##........##.#..########.#.###.#.#.##.#.##...#..#..#..#.#.##.##..#.####.#.###......#.###.#...##...####.#.##....##.###...###...##...##........##.#..########.#.###.#.#.##.#.##...#..#..#..#.#.##.##..#.####.#.###......#.###.#...##...####.#.##....##.###...###...##...##........##.#..########.#.###.#.#.##.#.##...#..#..#..#.#.##.##..#.####.#.###.
#.###.##.#.#...##..##..#.####.##...###.#.....#.#.#..####.#.#.#....#.#.#.#..##....##....#.#.#####.##....##.##.#.##......##.##....#.#..##..##..###...##..#.###.....###.#.#..##.###.#..#......#.#..###...#.##..#..#.#.#.###.#....#.#...##..###.#.##....##..##.##.#..#..#.#.###..##.#..#.##.###.#.#.....##...#...##...##..##.#.#..#...##..#.##...##.##.#.#...#.....##.#.##.#.#.##.#.####...##..##.##.#..#..#.#.###..##.#..#.##.###.#.#.....##...#...##...##..##.#.#..#...##..#.##...##.##.#.#...#.....##.#.##.#.#.##.#.####...##..##.##.#..#..#.#.###..##.#..#.##.###.#.#.....##...#...##...##..##.#.#..#...##..#.##...##.##.#.#...#.....##.#.##.#.#.##.#.####...##..##.##.#..#..#.#.###..##.#..#.##.###.#.#.....##...#...##...##..##.#.#..#...##..#.##...##.##.#.#...#.....##.#.##.#.#.##.#.####...##..##.##.#..#..#.#.###..##.#..#.##.###.#.#.....##...#...##...##..##.#.#..#...##..#.##...##.##.#.#...#.....##.#.##.#.#.##.#.####...##..##.##.#..#..#.#.###..##.#..#.##.###.#.#.....##...#...##...##..##.#.#..#...##..#.##...##.##.#.#...
#.#.#.###..##.##.#...#..#.#.#...#..####.##..####.#.#...##..#.######...#.#....####...#.####.#####.....#.....#..####.#####.......##.#.#...###..#.#...#..###.....#.#...##.##.##.##...####.###.......##.##....##..######.#..##.#....#.#.#.#.#.#.##....#..#..###..#...#.#....#.#....####.####.###.....##.......#.######.....#.#..#.#.###.#...#.#.##.#.#####..#.#.#..#.##..#.#.#.#.###.#...#..#..###..#...#.#....#.#....###..####.###.....##.......#.######.....#.#..#.#.###.#...#.#.##.#.#####..#.#.#..#.##..#.#.#.#.###.#...#..#..###..#...#.#....#.#....###..####.###.....##.......#.######.....#.#..#.#.###.#...#.#.##.#.#####..#.#.#..#.##.##.#.#.#.###.#...#..#..###..#...#.#....#.#....###..####.###.....##.......#.######.....#.#..#.#.###.#...#.#.##.#.#####..#.#.#..#.##..#.#.#.#.###.#...#..#..###..#...#.#....#.#....###..####.###.....##.......#.######.....#.#..#.#.###.#...#.#.##.#.#####..#.#.#..#.##..#.#.#.#.###.#...#..#..###..#...#.#....#.#....###..####.###.....##.......#.######.....#.#..#.#.###.#...#.#.##.#.#####..#
#.#..###.##..##.#.###..###.######...#.#.#..###########..#.###.#.#.##.##....##...#.#.##.#####..####.#...##.#..#######..#......#....###.....##..#.###.###.####...######...##..##.######.###..###...##.##.#.#...########.##.#.#..##....##...##..#..#...#.##..###..####....#.####.###.#####..#....#.#.#.##.#.#.####.####.######.#..#.#..#.......######..#.#.#.....###..#...#####.#.####....#.##..###..####....#.####.###.#####..#....#.#.#.##.#.#.####.####.######.#..#.#..#.......######..#.#.#.....###..#...#####.#.####....#.##..###..####....#.####.###.#####..#....#.#.#.##.#.#.####.####.######.#..#.#..#.......######..#.#.#.....###..#...#####.#.####....#.##..###..####....#.####.###.#####..#....#.#.#.##.#.#.####.####.######.#..#.#..#.......######..#.#.#.....###..#...#####.#.####....#.##..###..####....#.####.###.#####..#....#.#.#.##.#.#.####.####.######.#..#.#..#.......######..#.#.#.....###..#...#####.#.####....#.##..###..####....#.####.###.#####..#....#.#.#.##.#.#.####.####.######.#..#.#..#.......######..#.#.#
...##.###..#.##..###.#......#......#....###..####..##..#.##.#.#..#....#.#.#.##.....######.##.####....#......#####.#.##..#..#.#.#####.....#.....#...#..##.#..#.#..#.#.###..##...#..##..##..##..#.##...#..##.#......#.#.#.....####.####...#.##...####..###.##..###.#####.#...#....##...######..#....#####.#.##.##.###....#.##....##.####.#..##........###...#.#...##.#.#.#...###.#...###..###.##..###.#####.#...#....##...######..#....#####.#.##.##.###....#.##....##.####.#..##........###...#.#...##.#.#.#...###.#...###..###.##..###.#####.#...#....##...######..#....#####.#.##.##.###....#.##....##.####.#..##........###...#.#...##.#.#.#...###.#...###..###.##..###.#####.#...#....##...######..#....#####.#.##.##.###....#.##....##.####.#..##........###...#.#...##.#.#.#...###.#...###..###.##..###.#####.#...#....##...######..#....#####.#.##.##.###....#.##....##.####.#..##........###...#.#...##.#.#.#...###.#...###..###.##..###.#####.#...#....##...######..#....#####.#.##.##.###....#.##....##.####.#..##........###..
##..#...#.####...#..##.#..###.##.#.#...######.#..#..#########.#..#...#####.###...#.##..##..###....#.##..#.#....#..#.#.......#..#.#.#.###.#.....##.#.#.####.##...#.#.#..###....#...#.#.#.#..##.#..###.#.#.#....#...##.##.###..###.#..##.......##.###.###..##..#.###.####.###....####...##..#####..#..#.#.###...###...#####.#.....##..##.##....###.##..##.##..#....#....##.#.###.##..###.###..##..#.###.####.###....####...##..#####..#..#.#.###...###...#####.#.....##..##.##....###.##..##.##..#....#....##.#.###.##..###.###..##..#.###.####.###....####...##..#####..#..#.#.###...###...#####.#.....##..##.##....###.##..##.##..#....#....##.#.###.##..###.###..##..#.###.####.###....####...##..#####..#..#.#.###...###...#####.#.....##..##.##....###.##..##.##..#....#....##.#.###.##..###.###..##..#.###.####.###....####...##..#####..#..#.#.###...###...#####.#.....##..##.##....###.##..##.##..#....#....##.#.###.##..###.###..##..#.###.####.###....####...##..#####..#..#.#.###...###...#####.#.....##..##.##....###.##..##.#
.##.#####.#.#.#..###.#.#.#.....#...#..###....##...##.#######..##.......#..##.#..####...#..##..#.###..#.#.###..##.#..###....##...####.###.##.#..##...#.##...####...##..#...#.###....####..#..#.#.#...###..#.#........#.##..#........##.#.#.##..#.#.##.#.#..#####..###.#..#..###..####..##.#.#.......#.#.##.####..#.##.###...#..#....###.....##....#.####.#.###.#...#.##.#...###.##.##.##.#.#..#####..###.#..#..###..####..##.#.#.......#.#.##.####..#.##.###...#..#....###.....##....#.####.#.###.#...#.##.#...###.##.##.##.#.#..#####..###.#..#..###..####..##.#.#.......#.#.##.####..#.##.###...#..#....###.....##....#.####.#.###.#...#.##.#...###.##.##.##.#.#..#####..###.#..#..###..####..##.#.#.......#.#.##.####..#.##.###...#..#....###.....##....#.####.#.###.#...#.##.#...###.##.##.##.#.#..#####..###.#..#..###..####..##.#.#.......#.#.##.####..#.##.###...#..#....###.....##....#.####.#.###.#...#.##.#...###.##.##.##.#.#..#####..###.#..#..###..####..##.#.#.......#.#.##.####..#.##.###...#..#....###.....##....#.####.#
...#.....#..#....#..##.###..###......#####..##.###.###.##..#.#...###..##.##.##....#..###.#.#....###.#...#...##.......##########....#.#..###.#.##...#.#..####.#.###.#..####....#.#...#..#####..#.####....##.#..##..#.#....##..#...##..........##..###..#.####.......#.#......##..#...#.#.###.###..####.###..#..#..##.#####.###..##...##.#........##....#..#..#.#..##.#.###....#...#.####..#.####.......#.#......##..#...#.#.###.###..####.###..#..#..##.#####.###..##...##.#........##....#..#..#.#..##.#.###....#...#.####..#.####.......#.#......##..#...#.#.###.###..####.###..#..#..##.#####.###..##...##.#....#...##....#..#..#.#..##.#.###....#...#.####..#.####.......#.#......##..#...#.#.###.###..####.###..#..#..##.#####.###..##...##.#........##....#..#..#.#..##.#.###....#...#.####..#.####.......#.#......##..#...#.#.###.###..####.###..#..#..##.#####.###..##...##.#........##....#..#..#.#..##.#.###....#...#.####..#.####.......#.#......##..#...#.#.###.###..####.###..#..#..##.#####.###..##...##.#........##....#..
..###...#..#..#.....#.####...#.##.#..##.#.#.#....#.#.##.#..##...#...##....##.#.##.####..#.##...###.#.##.#.#...##.#...#.#..#.###..##.#..#.###..##.###.###..##..##.#.....##.##....###.#.#.#.##..##.#.##....#......##..##.#..###.#####.#..##..#...######.##.#......#.#..###...####.####.#.#.####..#....###...#.##.#.#...#...##...#.....#..###.##.##########.##.#..####........####.##..####.##.#......#.#..###...####.####.#.#.####..#....###...#.##.#.#...#...##...#.....#..###.##.##########.##.#..####........####.##..####.##.#......#.#..###...####.####.#.#.####..#....###...#.##.#.#...#...##...#.....#..###.##.##########.##.#..####...#....####.##..####.##.#......#.#..###...####.####.#.#.####..#....###...#.##.#.#...#...##...#.....#..###.##.##########.##.#..####........####.##..####.##.#......#.#..###...####.####.#.#.####..#....###...#.##.#.#...#...##...#.....#..###.##.##########.##.#..####........####.##..####.##.#......#.#..###...####.####.#.#.####..#....###...#.##.#.#...#...##...#.....#..###.##.##########.
###.#..#.........##..####.#.##.#...#.#...#...#..#.....#.####..#.#....#..##..#....##.##.#.#.##..##.#...#.###.#.#......#...##.#.#######.##..#.###...##.#.....###.#..##..##.#.##..####.####....##.#.#..#...####.###..##...######.######.#..#.#.##..######..#.....#.#..#####.#........##..#..##.#.####.#.#.#####....##....##.###.###.#.####.#.#..#....####.###.#....##..##.#.#.......#.######..#.....#.#..#####.#........##.##..##.#.####.#.#.#####....##....##.###.###.#.####.#.#..#....####.###.#....##..##.#.#.......#.######..#.....#.#..#####.#........##..#..##.#.####.#.#.#####....##....##.###.###.#.####.#.#..#....####.###.#....##..##.#.#.......#.######..#.....#.#..#####.#........##..#..##.#.####.#.#.#####....##....##.###.###.#.####.#.#..#....####.###.#....##..##.#.#.......#.######..#.....#.#..#####.#........##..#..##.#.####.#.#.#####....##....##.###.###.#.####.#.#..#....####.###.#....##..##.#.#.......#.######..#.....#.#..#####.#........##..#..##.#.####.#.#.#####....##....##.###.###.#.####.#.#..#....####.##
...#####.#.#.#########.#.##.#.##..#.....##..##.##.#########.##.###.##.#.##...##.#..###.#....#..#..#.####.###.####..##....#.##.#.#.#..#.###.#...#.##.#.##..#...####.#..#..#.#..######..###.######.#...##..####..##..#.#.##.#####..###.#.##..#.#....##.#.#...#...#..#.#.#.###.#.....#..#.#.#.#..###.....#.....##.....#...#.#....##.#......#...#.#..##.###..#..##.....####....#.##.#.##.##.#.#...#...#..#.#.#.###.#.....#..#.#.#.#..###.....#.....##.....#...#.#....##.#......#...#.#..##.###..#..##.....####....#.##.#.##.##.#.#...#...#..#.#.#.###.#.....#..#.#.#.#..###.....#.....##.....#...#.#....##.#......#...#.#..##.###..#..##.....####....#.##.#.##.##.#.#...#...#..#.#.#.###.#.....#..#.#.#.#..###.....#.....##.....#...#.#....##.#......#...#.#..##.###..#..##.....####....#.##.#.##.##.#.#...#...#..#.#.#.###.#.....#..#.#.#.#..###.....#.....##.....#...#.#....##.#......#...#.#..##.###..#..##.....####....#.##.#.##.##.#.#...#...#..#.#.#.###.#.....#..#.#.#.#..###.....#.....##.....#...#.#....##.#......#...#.#..##.###..
...#.........###..#.....###.#..##.#.##..#.#..#.....##...#....##..#...#.#.###.#.#.#..##.#####....#.###.##.#.#..##.##....#####.....#........##.##..#.#...#...###.#..#.#.#....###..#####..#.######..##.#.....#..####.....##..##.##.#...###..#.#..##.##..#.###....##..#####.#.#.##....#....##.#.###..####.#..###..##...#.#.###.##....#.######.###...##...#.#..#..#..#.#####.#...........##..#.###....##..#####.#.#.##....#....##.#.###..####.#..###..##...#.#.###.##....#.######.###...##...#.#..#..#..#.#####.#...........##..#.###....##..#####.#.#.##....#....##.#.###..####.#..###..##...#.#.###.##....#.######.###...##...#.#..#..#..#.#####.#...........##..#.###....##..#####.#.#.##....#....##.#.###..####.#..###..##...#.#.###.##....#.######.###...##...#.#..#..#..#.#####.#...........##..#.###....##..#####.#.#.##....#....##.#.###..####.#..###..##...#.#.###.##....#.######.###...##...#.#..#..#..#.#####.#...........##..#.###....##..#####.#.#.##....#....##.#.###..####.#..###..##...#.#.###.##....#.######.###...##...#.#.
#.#.##.#.#####...##..####.##.#.##.##.####.##..###.#..#...##.#.######........#####.##..#..##.###.##...#......#..########..#..##.##.#.####...#.##.##..###.#.##.###.#........######.#...##.####.##.#......###..###.#...#.#..##...####.##...##.###..#.#.#..####..####.....#.#...##.#.##.#.#.##...##.#.#.##...####.#..#####.#..#####..#.##.#.#...#.#........##...####.##.##.##.##..#.#....#.#..####..####.....#.#...##.#.##.#.#.##...##.#.#.##...####.#..#####.#..#####..#.##.#.#...#.#........##...####.##.##.##.##..#.#....#.#..####..####.....#.#...##.#.##.#.#.##...##.#.#.##...####.#..#####.#..#####..#.##.#.#...#.#........##...####.##.##.##.##..#.#....#.#..####..####.....#.#...##.#.##.#.#.##...##.#.#.##...####.#..#####.#..#####..#.##.#.#...#.#........##...####.##.##.##.##..#.#....#.#..####..####.....#.#...##.#.##.#.#.##...##.#.#.##...####.#..#####.#..#####..#.##.#.#...#.#........##...####.##.##.##.##..#.#....#.#..####..####.....#.#...##.#.##.#.#.##...##.#.#.##...####.#..#####.#..#####..#.##.#.#...#.#........##
.#.##..##.#...##.##.#..##...#..#.####.#.##...#.#..##.#......#.##.#####.....#.#.#.#...###.#####.##..#..##.#.....#.#...#...##.##...#.#.###....#..##...####....#..#..#.....####....#...#.###.##..##...#..#.#....#.##..####.#....##....###.#.##.##.#.#......#.####.###..##...#######.#...##.#.#...##.##...#...#.#.##..######.#...#####..#..#.#..#.#..#...#.#..##.###.#.#..###..#.#.######......#.####.###..##...#######.#...##.#.#...##.##...#...#.#.##..######.#...#####..#..#.#..#.#..#...#.#..##.###.#.#..###..#.#.######......#.####.###..##...#######.#...##.#.#...##.##...#...#.#.##..######.#...#####..#..#.#..#.#..#...#.#..##.###.#.#..###..#.#.######......#.####.###..##...#######.#...##.#.#...##.##...#...#.#.##..######.#...#####..#..#.#..#.#..#...#.#..##.###.#.#..###..#.#.######......#.####.###..##...#######.#...##.#.#...##.##...#...#.#.##..######.#...#####..#..#.#..#.#..#...#.#..##.###.#.#..###..#.#.######......#.####.###..##...#######.#...##.#.#...##.##...#...#.#.##..######.#...#####..#..#.#..#.#..#...#.#.
#.#..########........#.###.#..#....######..#..#.##...##.#.#..#..#.#......##..#..#..#..##..#.###..###..##.....#.##..##.#.....#.#.##.....#####...###..#...#.#...#.###..##.#####..##.###.#.##.##.#..#.##..#...##.#.#....#.##.###.#...##.######.##...##.#...#....#.#.#.#####..#.##...##.###..##..#..#.#####..#...#####.####.####...##.#.#..#...##.....##..#.#.########.##.##.###..#.....##.#...#....#.#.#.#####..#.##...##.###..##..#..#.#####..#...#####.####.####...##.#.#..#...##.....##..#.#.########.##.##.###..#.....##.#...#....#.#.#.#####..#.##...##.###..##..#..#.#####..#...#####.####.####...##.#.#..#...##.....##..#.#.########.##.##.###..#.....##.#...#....#.#.#.#####..#.##...##.###..##..#..#.#####..#...#####.####.####...##.#.#..#...##.....##..#.#.########.##.##.###..#.....##.#...#....#.#.#.#####..#.##...##.###..##..#..#.#####..#...#####.####.####...##.#.#..#...##.....##..#.#.########.##.##.###..#.....##.#...#....#.#.#.#####..#.##...##.###..##..#..#.#####..#...#####.####.####...##.#.#..#...##.....##..#.#
#..#..#.##...#.#.#########.#.#..#.#..###.#.##..#...#..#.####..##..#######.#..#.####..#..###..##........###.###..#..#.##.#...#.#.##....#...#...##....#####.#..#.##..#....##...#.#........##.###.##.#####.#####..#..##.####.#..##...##.#........#.##....#.....#.##.###.#.##.##..###..###.#...#..#####....#.#...##.#.#.#..#.##..######.##......#.#..#..###..##..##.###...#.#.....#.#.#.#....#.....#.##.###.#.##.#...###..###.#...#..#####....#.#...##.#.#.#..#.##..######.##......#.#..#..###..##..##.###...#.#.....#.#.#.#....#.....#.##.###.#.##.#...###..###.#...#..#####....#.#...##.#.#.#..#.##..######.##......#.#..#..###..##..##.###...#.#.....#.#.###....#.....#.##.###.#.##.#...###..###.#...#..#####....#.#...##.#.#.#..#.##..######.##......#.#..#..###..##..##.###...#.#.....#.#.#.#....#.....#.##.###.#.##.#...###..###.#...#..#####....#.#...##.#.#.#..#.##..######.##......#.#..#..###..##..##.###...#.#.....#.#.#.#....#.....#.##.###.#.##.#...###..###.#...#..#####....#.#...##.#.#.#..#.##..######.##......#.#..#..###..
#####..##.#####..##.##.#####.#..##.####..##.###.##..#.#....##...#..###..####.#..###....###...##.#.#..##...#.##.##.####...##...#..########...#....#......#.###...#.#..#.....##...#..#.###.###.#..##..###.....##..##..##.##.#.#.##..#...#.###.#.##.###...#..#.###..#..#....#.####..#.##.#.###..##...#.##...#..####...##.....#####.###....##..####...##.....##..#...#...##.#..##.###..####...#..#.###..#..#....#.####..#.##.#.###..##...#.##...#..####...##.....#####.###....##..####...##.....##..#...#...##.#..##.###..####...#..#.###..#..#....#.####..#.##.#.###..##...#.##...#..####...##.....#####.###....##..####...##.....##..#...#...##.#..##.###..####...#..#.###..#..#....#.####..#.##.#.###..##...#.##...#..####...##.....#####.###....##..####...##.....##..#...#...##.#..##.###..####...#..#.###..#..#....#.####..#.##.#.###..##...#.##...#..####...##.....#####.###....##..####...##.....##..#...#...##.#..##.###..####...#..#.###..#..#....#.####..#.##.#.###..##...#.##...#..####...##.....#####.###....##..####...##.....
.#..###.####....####.....#....###.###.#.....##.....#.##.##.#...###..#...#.#....#.#.###.#.###..##....#...##.##.#.......#..####....#.....#..#...#.....#..##.###..#.##..####..##..##.##..###...#..#.#####.##.....#.#..#..####.#...#...##.#..##.......#.###.##.##..##..#.#..###...#.####...###.#...#.##..#.....##.#...##.#####.####..#.#..#..#..##.#####...###.###..##...#..###.##.###...#.###.##.##..##..#.#..###...#.####...###.#...#.##..#.....##.#...##.#####.####..#.#..#..#..##.#####...###.###..##...#..###.##.###...#.###.##.##..##..#.#..###...#.####...###.#...#.##..#.....##.#...##.#####.####..#.#..#..#..##.#####...###.###..##...#..###.##.###...#.###.##.##..##..#.#..###...#.####...###.#...#.##..#.....##.#...##.#####.####..#.#..#..#..##.#####...###.###..##...#..###.##.###...#.###.##.##..##..#.#..###...#.####...###.#...#.##..#.....##.#...##.#####.####..#.#..#..#..##.#####...###.###..##...#..###.##.###...#.###.##.##..##..#.#..###...#.####...###.#...#.##..#.....##.#...##.#####.####..#.#..#..#..##.#####...##
###.##..##....#.###.#.#....#...#.#...########.##.#.##.#...##.###.......##.#....##...##..#.##.##.######..###.#####.##...#....#..###.#.##.###.##...#####.#.####..#..##.##.#..#.#..##...#.......#.#.###.##........####.#....##.###..#.#.#....###.....####.##...##.##.#.#.###.#.....#.#.#..#..##.#..#..##......##..##.#....#.###.###.#..#.#...#..#....##..###..#..##.#...###..####.#.##..####.##...##.##.#.#.###.#.....#.#.#..#..##.#..#..##......##..##.#....#.###.###.#..#.#...#..#....##..###..#..##.#...###..####.#.##..####.##...##.##.#.#.###.#.....#.#.#..#..##.#..#..##......##..##.#....#.###.###.#..#.#...#..#....##..###..#..##.#...###..####.#.##..####.##...##.##.#.#.###.#.....#.#.#..#..##.#..#..##......##..##.#....#.###.###.#..#.#...#..#....##..###..##.##.#...###..####.#.##..####.##...##.##.#.#.###.#.....#.#.#..#..##.#..#..##......##..##.#....#.###.###.#..#.#...#..#....##..###..#..##.#...###..####.#.##..####.##...##.##.#.#.###.#.....#.#.#..#..##.#..#..##......##..##.#....#.###.###.#..#.#...#..#....##..###
.###.#####..####.#.#.###.#..#............#.#.##.#..#.....#.#.....#.#####....#.#..#...#######.#.....###.##....#...#.#.##..#...#####.##....###.##.###..##.###..#.##.######.###.##...##.##.#..#....#..#..###.#.###.#.##.##.###.##.##.###....#.....##.#.#.#..#..#..#...##....##..###..#....###.#.#....##.##.##.#..##...#..#..#.##.#####..###...##..###.#....####.#..###...#..#..#........#.#.#..#..#..#...##....##..###..#....###.#.#....##.##.##.#..##...#..#..#.##.#####..###...##..###.#....####.#..###...#..#..#........#.#.#..#..#..#...##....##..###..#....###.#.#....##.##.##.#..##...#..#..#.##.#####..###...##..###.#....####.#..###...#..#..#........#.#.#..#..#..#...##....##..###..#....###.#.#....##.##.##.#..##...#..#..#.##.#####..###...##..###.#....####.#..###...#..#..#........#.#.#..#..#..#...##....##..###..#....###.#.#....##.##.##.#..##...#..#..#.##.#####..###...##..###.#....####.#..###...#..#..#........#.#.#..#..#..#...##....##..###..#....###.#.#....##.##.##.#..##...#..#..#.##.#####..###...##..###.#....#
####.#####...#.#.##..#.#...##.####..##...#.#..#.###.#.#.#...#.###..#.##...........#..##..######.##.#..#.####..#..#####..#.####.#########...###.##...##.##..###....#....###.##...###.#...##.####..##....###.#.#..#.#.#.......######...#.##..######.##..####.....#.#.##....#.###...#..#..#..##.###...#.#........#...##.##.....#.#.#..##..#.###..#.####..#.#.##.#.#.##.#.####.#.#.#...#.##..####.....#.#.##....#.###...#..#..#..##.###...#.#........#...##.##.....#.#.#..##..#.###..#.####..#.#.##.#.#.##.#.####.#.#.#...#.##..####.....#.#.##....#.###...#..#..#..##.###...#.#........#...##.##.....#.#.#..##..#.###..#.####..#.#.##.#.#.##.#.####.#.#.#...#.##..####.....#.#.##....#.###...#..#..#..##.###...#.#........#...##.##.....#.#.#..##..#.###..#.####..#.#.##.#.#.##.#.####.#.#.#...#.##..####.....#.#.##....#.###...#..#..#..##.###...#.#........#...##.##.....#.#.#..##..#.###..#.####..#.#.##.#.#.##.#.####.#.#.#...#.##..####.....#.#.##....#.###...#..#..#..##.###...#.#........#...##.##.....#.#.#..##..#.###..#.####..#.#
.#..#.##.#.#.#.##.#..###.##.#.###.###...#...#####.##....#.#.####.......##...#..#..##.###.#.####.###..#.##..####..#.##.##..#..##..#..#.#######.#.###.##....######.##..##.###...#....#..#.##...###...##..#...###..#..#..#.#.##.#.###....##...##..##..#..#.#..#.#...#..###.#.#...............#..###..#.##..#.##.##.##.#....########..#######.....###....#.#.###.##....#.#......##....##..#..#.#..#.#...#..###.#.#...............#..###..#.##..#.##.##.##.#....########..#######.....###....#.#.###.##....#.#......##....##..#..#.#..#.#...#..###.#.#...............#..###..#.##..#.##.##.##.#....########..#######.....###....#.#.###.##....#.#......##....##..#..#.#..#.#...#..###.#.#...............#..###..#.##..#.##.##.##.#....########..#######.....###....#.#.###.##....#.#......##....##..#..#.#..#.#...#..###.#.#...............#..###..#.##..#.##.##.##.#....########..#######.....###....#.#.###.##....#.#......##....##..#..#.#..#.#...#..###.#.#...............#..###..#.##..#.##.##.##.#....########..#######.....###....#.#.
.##..###.###...#....######..#.###.....####..#.##......##..#.#...####.#.##.###..######.#......#...###....#.##...##.##....#.##..##.#.###.##..#.#.#.....#..####.#..#..##.#####.#.##.##.#..#.#.##.#...##..#...##.##.#.####....####..##.#.####.##.###.###.#.#.#..####.#..#..#.###.#.#.#.##..##..######.#..##.##.##.###...###..##.....#...##.###.###.#.###..#...#.#..######...#...####.######.#.#.#..####.#..#..#.###.#.#.#.##..##..######.#..##.##.##.###...###..##.....#...##.###.###.#.###..#...#.#..######.#.#...####.######.#.#.#..####.#..#..#.###.#.#.#.##..##..######.#..##.##.##.###...###..##.....#...##.###.###.#.###..#...#.#..######...#...####.######.#.#.#..####.#..#..#.###.#.#.#.##..##..######.#..##.##.##.###...###..##.....#...##.###.###.#.###..#...#.#..######...#...####.######.#.#.#..####.#..#..#.###.#.#.#.##..##..######.#..##.##.##.###...###..##.....#...##.###.###.#.###..#...#.#..######...#...####.######.#.#.#..####.#..#..#.###.#.#.#.##..##..######.#..##.##.##.###...###..##.....#...##.###.###.#.###..#..
..#.##.##..#.....##..#..#..#...#.##.#.##.###.#.#..#..##.#......#.##...###..#..#....##..#.#.......####.#.##..#...####.######.#####...##..##.####...#.#..#..##..#.#..#.#.#.#..##.##..#..#..#....#.###.#.###.##.#.....###.##...#...###.#.#.##.##...##....#...#.#..#...##.#.#....#.....###########..#.##.######.###..#.#.#..#..#......#...#.###....#...##..###.###.##.###.#.........#.#.#....#...#.#..#...##.#.#....#.....###########..#.##.######.###..#.#.#..#..#......#...#.###....#...##..###.###.##.###.#.........#.#.#....#...#.#..#...##.#.#....#.....###########..#.##.######.###..#.#.#..#..#......#...#.###....#...##..###.###.##.###.#.........#.#.#....#...#.#..#...##.#.#....#.....###########..#.##.######.###..#.#.#..#..#......#...#.###....#...##..###.###.##.###.#.........#.#.#....#...#.#..#...##.#.#....#.....###########..#.##.######.###..#.#.#..#..#......#...#.###....#...##..###.###.##.###.#.........#.#.#....#...#.#..#...##.#.#....#.....###########..#.##.######.###..#.#.#..#..#......#...#.###....#...##..##
##.###.##.....#.#.#...#.#.#######.#..#.#..........##...#.######..#.....##....##.##....###..##.#.##.######.#.###...##.#.#..##.##.#######.#####.####..###.#.###.#..#.##...##.#...###..#.####..###.........##........#.#.#########..#.#......##.#..#.##.##.##......#.###.#..#.#########.#..#.....####...#..######.#.#..#.####.#..###.####..#..#....#..#.##.....##.######..######.##.###.##.##.##......#.###.#..#.#########.#..#.....####...#..######.#.#..#.####.#..###.####..#..#....#..#.##.....##.######..######.##.###.##.##.##......#.###.#..#.#########.#..#.....####...#..######.#.#..#.####.#..###.####..#..#....#..#.##.....##.######..######.##.###.##.##.##......#.###.#..#.#########.#..#.....####...#..######.#.#..#.####.#..###.####..#..#....#..#.##.....##.######..######.##.###.##.##.##......#.###.#..#.#########.#..#.....####...#..######.#.#..#.####.#..###.####..#..#....#..#.##.....##.######..######.##.###.##.##.##......#.###.#..#.#########.#..#.....####...#..######.#.#..#.####.#..###.####..#..#....#..#.##..
#.#......#...#..##.#..##.....##.##..##.##..#.#....#.#.#...##..#.#.#.##########..#.......######.###.#.#..#######.#.#.####.#...##.#.#.#.##.####...#..###.######.#...#......##.####.##...#....#...#.###.##..##....#.###....##.#.##.#...###.#..#..##.#..#.#.#...###############.#.#.#...#..##..#.####.#.#......##..#..#..#.....##.#.##....#..##......#####.#.#.#..#.#..####..##...###..##..#.#.#...###############.#.#.#...#..##..#.####.#.#......##..#..#..#.....##.#.##....#..##......#####.#.#.#..#.#..####..##...###..##..#.#.#...###############.#.#.#...#..##..#.####.#.#......##..#..#..#.....##.#.##....#..##......#####.#.#.#..#.#..####..##...###..##..#.#.#...###############.#.#.#...#..##..#.####.#.#......##..#..#..#.....##.#.##....#..##.#....#####.#.#.#..#.#..####..##...###..##..#.#.#...###############.#.#.#...#..##..#.####.#.#......##..#..#..#.....##.#.##....#..##......#####.#.#.#..#.#..####..##...###..##..#.#.#...###############.#.#.#...#..##..#.####.#.#......##..#..#..#.....##.#.##....#..##......#####.#.
...#.##..##.#........##....#...##.##.#####....#.#.##.##.#........#....#.###..###.#####...#.##.##.##..###.###..##..#.....##....#......#..#####....#.######...##....#.#.###...#.#.##.###.#.#.#...####.##..#.##........#...###.###.##.#####.#.####.##..####.###.#..#.#.#..#..#..######..#.##.#.###..#.#..#######...#.###.##.#..#..#.#...###.###.###...#.##.#....####...#..#.###.##.....#..####.###.#..#.#.#..#..#..######..#.##.#.###..#.#..#######...#.###.##.#..#..#.#...###.###.###...#.##.#....####...#..#.###.##.....#..####.###.#..#.#.#..#..#..######..#.##.#.###..#.#..#######...#.###.##.#..#..#.#...###.###.###...#.##.#....####...#..#.###.##.....#..####.###.#..#.#.#..#..#..######..#.##.#.###..#.#..#######...#.###.##.#..#..#.#...###.###.###...#.##.#....####...#..#.###.##.....#..####.###.#..#.#.#..#..#..######..#.##.#.###..#.#..#######...#.###.##.#..#..#.#...###.###.###...#.##.#....####...#..#.###.##.....#..####.###.#..#.#.#..#..#..######..#.##.#.###..#.#..#######...#.###.##.#..#..#.#...###.###.###...#.##.#
.######...##.#..#..####..##.#.##..###.#...#####.#.###.#.###.######.#.#...##..##.#.##....#..###.##.#...#.#..#..##.##.#.#####..###..#.##.##.#.#..#.##.##......#.##.#.#.#.#...##.#..#.#.##......#.#...##.....##.#.#.....#..##..######.#####.###..##....#.##.....##..#..#.###.###.##...#.......#.##..#.#..#..##.####.###......#.#.#..##.##....###.#.##.#..###..#.#.#...#..###..#..######...#.##.....##..#..#.###.###.##...#.......#.##..#.#..#..##.####.###......#.#.#..##.##....###.#.##.#..###..#.#.#...#..###..#..######...#.##.....##..#..#.###.###.##...#.......#.##..#.#..#..##.####.###......#.#.#..##.##....###.#.##.#..###..#.#.#...#..###..#..######...#.##.....##..#..#.###.###.##...#.......#.##..#.#..#..##.####.###......#.#.#..##.##....###.#.##.#..###..#.#.#...#..###..#..######...#.##.....##..#..#.###.###.##...#.......#.##..#.#..#..##.####.###......#.#.#..##.##....###.#.##.#..###..#.#.#...#..###..#..######...#.##.....##..#..#.###.###.##...#.......#.##..#.#..#..##.####.###......#.#.#..##.##....###.#.##.##.###
.#.#.#####.###..##.#.....#..#.##..#####..###.####.#..####.#.##..#.###..##...##.##..#..#.#..#.####....#.#..######....###.#.##...#.#.#...##.#.###.#.#.#.##.##....#.###.......#...#####.....###.#....#.##...###..##..#..###..#.#.###...#.#.#..###.#..##.##.####.#.#####...###.#..#.######.#####.###.#..#####..##..####.##.#.#.##..###.#...#......###..#.###.###..####.##.####..###..#...##.##.####.#.#####...###.#..#.######.#####.###.#..#####..##..####.##.#.#.##..###.#...#......###..#.###.###..####.##.####..###..#...##.##.####.#.#####...###.#..#.######.#####.###.#..#####..##..####.##.#.#.##..###.#...#......###..#.###.###..####.##.####..###..#...##.##.####.#.#####...###.#..#.######.#####.###.#..#####..##..####.##.#.#.##..###.#...#......###..#.###.###..####.##.####..###..#...##.##.####.#.#####...###.#..#.######.#####.###.#..#####..##..####.##.#.#.##..###.#...#......###..#.###.###..####.##.####..###..#...##.##.####.#.#####...###.#..#.######.#####.###.#..#####..##..####.##.#.#.##..###.#...#......###..#.###.
.....######......#..###.####.##..##.##.###.#...#..##..#..#...#......##..#.###..#...#.##..##.#.#..##..##..####....#.##...#....#..#..#.##...##..#.#.##.#..###.#.##.#####.#.##.#..#..#..#...#..#.####.....##.##..#..#######.##.....#...#...###.##.###.####.#.#####.##########.#######.....##.#######....#.........#.#.##.#..##.#....#..###..##..##.#......#..#####.##.##..###.#..#.###.#.####.#.#####.##########.#######.....##.#######...##.........#.#.##.#..##.#....#..###..##..##.#......#..#####.##.##..###.#..#.###.#.####.#.#####.##########.#######.....##.#######....#.........#.#.##.#..##.#....#..###..##..##.#......#..#####.##.##..###.#..#.###.#.####.#.#####.##########.#######.....##.#######....#.........#.#.##.#..##.#....#..###..##..##.#......#..#####.##.##..###.#..#.###.#.####.#.#####.##########.#######.....##.#######....#.........#.#.##.#..##.#....#..###..##..##.#......#..#####.##.##..###.#..#.###.#.####.#.#####.##########.#######.....##.#######....#.........#.#.##.#..##.#....#..###..##..##.#......#.
....#..#.#.#.####.#..#..##.##.###.###.#..#...#..######...#..##.#...######.#..#....##.###....####.#.###.##..#.....##.#.#.##.#.#..#.#.#...##.#..#.#.#..#..#.#....#..#..#..###.###.#.#..##.#.#..##..#.##.#..#.###..##....#....##....#.###..##.#.##.##...#..###.....##.#.#.#..######....#.####.....#.#.....#..##..#.....#.##.#....#.....##...#.#.#..##...##....##..#####...#.##...###.###...#..###.....##.#.#.#..######....#.####.....#.#.....#..##..#.....#.##.#....#.....##...#.#.#..##...##....##..#####...#.##...##..###...#..###.....##.#.#.#..######....#.####.....#.#.....#..##..#.....#.##.#....#.....##...#.#.#..##...##....##..#####...#.##...##..###...#..###.....##.#.#.#..######....#.####.....#.#.....#..##..#.....#.##.#....#.....##...#.#.#..##...##....##..#####...#.##...##..###...#..###.....##.#.#.#..######....#.####.....#.#.....#..##..#.....#.##.#....#.....##...#.#.#..##...##....##..#####...#.##...##..###...#..###.....##.#.#.#..######....#.####.....#.#.....#..##..#.....#.##.#....#.....##...#.#.#..##...##..
..##..#...#.....#.#.#..#..#.##..##.###..#..#..#.#.#######...##.##.#.......#..##..###.#...#..###.#..###.#...###...##.#.##..#.#..#.##.######..#.......#...######..#####.###.##.........#.#.#.#.#......###.##.######..##......#..##..####....#...#..#.#.#.#....#....#.....##...####..###.###.#....#..#.###..##..###..#####.#.#.#.#.#.##..###..##...#....#.##..###.#####..##.##.###.#.###.#.#.#....#....#.....##...####..###.###.#....#..#.###..##..###..#####.#.#.#.#.#.##..###..##...#....#.##..###.#####..##.##.###.#.###.#.#.#....#....#.....##...####..###.###.#....#..#.###..##..###..#####.#.#.#.#.#.##..###..##...#....#.##..###.#####..##.##.###.#.###.#.#.#....#....#.....##...####..###.###.#....#..#.###..##..###..#####.#.#.#.#.#.##..###..##...#....#.##..###.#####..##.##.###.#.###.#.#.#....#....#.....##...####..###.###.#....#..#.###..##..###..#####.#.#.#.#.#.##..###..##...#....#.##..###.#####..##.##.###.#.###.#.#.#....#....#.....##...####..###.###.#....#..#.###..##..###..#####.#.#.#.#.#.##..###..##...#....#.##
..#.##.####.####.###..##...#.#.#.#.#...##########..####.#.#....#.##...##.#..##..#..##...####.#.###.#..###.#########..###....#...#.#...#.##..##...#.#.#.###.##.######.##.#.##..#.##...##..#.##..#####...#..#.##..##.#...##...#######.....##..####.##..#...#####..##...#..#.####.#...#.#.#.#.###...##.###.#...##.#.##.##..##......#.#..#.###..###...#.#...##..#..#.#..#.###..##.####..##..#...#####..##...#..#.####.#...#.#.#.#.###...##.###.#...##.#.##.##..##......#.#..#.###..###...#.#...##..#..#.#..#.###..##.####..##..#...#####..##...#..#.####.#...#.#.#.#.###...##.###.#...##.#.##.##..##......#.#..#.###..###...#.#...##..#..#.#..#.###..##.####..##..#.#.#####..##...#..#.####.#...#.#.#.#.###...##.###.#...##.#.##.##..##......#.#..#.###..###...#.#...##..#..#.#..#.###..##.####..##..#...#####..##...#..#.####.#...#.#.#.#.###...##.###.#...##.#.##.##..##......#.#..#.###..###...#.#...##..#..#.#..#.###..##.####..##..#...#####..##...#..#.####.#...#.#.#.#.###...##.###.#...##.#.##.##..##......#.#..#.###..###...#.#...#
#.##.#.###.#...#..###...##.##....#.#.###.##.####.##...#..###...#######..###.#.##...#.#.#.#.####.#.#.#...#.########...####..##.##.##...#.###..#.....###..#..#..#....#.###.##.#....#.#.#####.#.#.##..#..###..#....###.###..#.##.##..##.####.##.######.##.###.####..##.#.##.###.#.#.#.#.#.##..###.#..#.####..#.##..#..#.#......####..#.#..#...#.##.........###..#.......#..#..#.#.###..##.##.###.####..##.#.##.###.#.#.#.#.#.##..###.#..#.####..#.##..#..#.#......####..#.##.#...#.##.........###..#.......#..#..#.#.###..##.##.###.####..##.#.##.###.#.#.#.#.#.##..###.#..#.####..#.##..#..#.#......####..#.#..#...#.##.........###..#.......#..#..#.#.###..##.##.###.####..##.#.##.###.#.#.#.#.#.##..###.#..#.####..#.##..#..#.#......####..#.#..#...#.##.........###..#.......#..#..#.#.###..##.##.###.####..##.#.##.###.#.#.#.#.#.##..###.#..#.####..#.##..#..#.#......####..#.#..#...#.##.........###..#.......#..#..#.#.###..##.##.###.####..##.#.##.###.#.#.#.#.#.##..###.#..#.####..#.##..#..#.#......####..#.#..#...#.##.........#
##...####.#.#..###.#..#.#.#....#.#.#.###...###.#.#.#.###.#.....#...##.#.####.#...##.##.##.....##.#...##..#...#.#...###.##.#....####....#..###.###.....#..##..#...##..#.###...#####.#.#...##.##..#....#.##.##.#.##..#.##..#.#..#######.###.#...#...#...##...#....#.##..#.#..#.#####...##.#..#.#..#.#..#..#..#.##..#......#..##...##.##.#.#....##...#..###.##.####..#####....##.#..###.#...##...#....#.##..#.#..#.#####...##.#..#.#..#.#..#..#..#.##..#......#..##...##.##.#.#....##...#..###.##.####..#####....##.#..###.#...##...#....#.##..#.#..#.#####...##.#..#.#..#.#..#..#..#.##..#......#..##...##.##.#.#....##...#..###.##.####..#####....##.#..###.#...##...#....#.##..#.#..#.#####...##.#..#.#..#.#..#..#..#.##..#......#..##...##.##.#.#....##...#..###.##.####..#####....##.#..###.#...##...#....#.##..#.#..#.#####...##.#..#.#..#.#..#..#..#.##..#......#..##...##.##.#.#....##...#..###.##.####..#####....##.#..###.#...##...#....#.##..#.#..#.#####...##.#..#.#..#.#..#..#..#.##..#......#..##...##.##.#.#....##...#..###.
#..#.#......#.#.#..##########..#..##.#....#.#..##.###.####.#.......##.##.#.##..####.#.##.##..#.###..######..#..##.#...###..#..#......#...######....#...#.#....##.##.######.####.#.##.##.##..#..##.#..#...#.#.###..##..#.###...#.##..#.#.####..##....#..#.#.#..#.#..#.#...#....#..#...#....######.#.######.##.###...#....##...#..###....#..#.###.#.#..#........#..##..####...##..###....#..#.#.#..#.#..#.#...#....#..#...#....######.#.######.##.###...#....##...#..###....#..#.###.#.#..#........#..##..####...##..###....#..#.#.#..#.#..#.#...#....#..#...#....######.#.######.##.###...#....##...#..###....#..#.###.#.#..#........#..##..####...##..###....#..#.#.#..#.#..#.#...#....#..#...#....######.#.######.##.###...#....##...#..###....#..#.###.#.#..#........#..##..####...##..###....#..#.#.#..#.#..#.#...#....#..#...#....######.#.######.##.###...#....##...#..###....#..#.###.#.#..#........#..##..####...##..###....#..#.#.#..#.#..#.#...#....#..#...#....######.#.######.##.###...#....##...#..###....#..#.###.#.#..#...
..##.###.#...#.##..##.#..#..#.#.#.#.####.##.......###..#.######....#..#.####.#.#..#.#.##.####.###.###.#..##.#..#.#..#.#####..#..###..####...#..##..##.#.##.....####..###..#.#.#...#.####...#...##.#####...#..#..#.#...#.#...##.#.##....#...#.####...##.#.#####.#....##.######.......#..##..##.##.####.#..#.##....#..#.#.#.#.#.##....####...#.##..#.##.##...#...#######.#.#.#...###.....##.#.#####.#....##.######.......#..##..##.##.####.#..#.##....#..#.#.#.#.#.##....####...#.##..#.##.##...#...#######.#.#.#...###.....##.#.#####.#....##.######.......#..##..##.##.####.#..#.##....#..#.#.#.#.#.##....####...#.##..#.##.##...#...#######.#.#.#...###.....##.#.#####.#....##.######.......#..##..##.##.####.#..#.##....#..#.#.#.#.#.##....####...#.##..#.##.##...#...#######.#.#.#...###.....##.#.#####.#....##.######.......#..##..##.##.####.#..#.##....#..#.#.#.#.#.##....####...#.##..#.##.##...#...#######.#.#.#...###.....##.#.#####.#....##.######.......#..##..##.##.####.#..#.##....#..#.#.#.#.#.##....####...#.##..#.##.##.
#.#.##..##.##.##..#.#.##....#.#..###....####..###.##.....##.#.##.#...##...##.#..##...###..##.####.#..#.#.#.##..#.....#.....##.#..#.###..#.#..##.#...#.####..##...#.##.####.##...##.#.#######......#.#.####..#...##...##.#......###.###...#..######..##.####....#..##.#.#.#.##..#...#..#.#.....#.#....##.###.#..######.#.##.##.#.#..#..#.##..#.##.#.##.#.###...##.####....######..####..##.####....#..##.#.#.#.##..#...#..#.#.....#.#....##.###.#..######.#.##.##.#.#..#..#.##..#.##.#.##.#.###...##.####....######..####..##.####....#..##.#.#.#.##..#...#..#.#.....#.#....##.###.#..######.#.##.##.#.#..#..#.##..#.##.#.##.#.###...##.####....######..####..##.####....#..##.#.#.#.##..#...#..#.#.....#.#....##.###.#..######.#.##.##.#.#..#..#.##..#.##.#.##.#.###...##.####....######..####..##.####....#..##.#.#.#.##..#...#..#.#.....#.#....##.###.#..######.#.##.##.#.#..#..#.##..#.##.#.##.#.###...##.####....######..####..##.####....#..##.#.#.#.##..#...#..#.#.....#.#....##.###.#..######.#.##.##.#.#..#..#.##..#.##.#.##.#.#
..#....###....####..##........#..##.###...#..###....##.#.....##..#.#....##...#####.#...##..#..##.###..##.#..##.#....###.##....#..###..#.######...###.......##.###.###.#....#..#..#.#..####..###...##..##...###.##...####..###..##.##...######.#.######..###...##....##.....###.##.#...##.#..##...#..##..##########.####.###.#.###.##.....####..##.##...###..#.#..#..####.###.#...########..###...##....##.....###.##.#...##.#..##...#..##..##########.####.###.#.###.##.....####..##.##...###..#.#..#..####.###.#...########..###...##....##.....###.##.#...##.#..##...#..##..##########.####.###.#.###.##.....####..##.##...###..#.#..#..####.###.#...########..###...##....##.....###.##.#...##.#..##...#..##..##########.####.###.#.###.##.....####..##.##...###..#.#..#..####.###.#...########..###...##....##.....###.##.#...##.#..##...#..##..##########.####.###.#.###.##.....####..##.##...###..#.#..#..####.###.#...########..###...##....##.....###.##.#...##.#..##...#..##..##########.####.###.#.###.##.....####..##.##...##
##...####.######.####.###.##.....##.#...#.##.####...##...#.###.#.##....##...####..#######..#.#.###...........##.#...#.#..#....#.####......###...#..#.#.###.######...#.#.#.#.##########..##..##....#...##.#####.#.#.#..#.#.#.###.##.##.####..#..##.###.#.#.##.#...#####....#####.##.#.......##..#..#.##.##.##...#.....#..#..###.#..##.#....#..#####.####..#.##....####.#.#..#.##.####.###.#.#.##.#...#####....#####.##.#.......##.....#.##.##.##...#.....#..#..###.#..##.#....#..#####.####..#.##....####.#.#..#.##.####.###.#.#.##.#...#####....#####.##.#.......##.....#.##.##.##...#.....#..#..###.#..##.#....#..#####.####..#.##....####.#.#..#.##.####.###.#.#.##.#...#####....#####.##.#.......##.....#.##.##.##...#.....#..#..###.#..##.#....#..#####.####..#.##....####.#.#..#.##.####.###.#.#.##.#...#####....#####.##.#.......##.....#.##.##.##...#.....#..#..###.#..##.#....#..#####.####..#.##....####.#.#..#.##.####.###.#.#.##.#...#####....#####.##.#.......##.....#.##.##.##...#.....#..#..###.#..##.#....#..#####.####..
.###....#.####.#.##..#.#.#####...#.####.#.#.#.##..#....#..#.##.#....#.#.#.##....#..#....#..###.#..#####.##.##.#####.#..#.#..##..#....##.##.#.###.##.##..#.#.#.....#.#.#.###.##.##.#.#.#..####.#..........#..#.#.#.#...#######.#####.##....#.##.#..#....#.###..#...#.....##...###.###..#..####...#.###...###.#.#..#.#..####..#......#.##.####..#.#..##.#..#.###.##.##.###..#.#.#.##.#.#....#.###..#...#.....##...###.###..#..####...#.###...###.#.#..#.#..####..#......#.##.####..#.#..##.#..#.###.##.##.###..#.#.#.##.#.#....#.###..#...#.....##...###.###..#..####...#.###...###.#.#..#.#..####..#......#.##.####..#.#..##.#..#.###.##.##.###..#.#.#.##.#.#....#.###..#...#.....##...###.###..#..####...#.###...###.#.#..#.#..####..#......#.##.####..#.#..##.#..#.###.##.##.###..#.#.#.##.#.#....#.###..#...#.....##...###.###..#..####...#.###...###.#.#..#.#..####..#......#.##.####..#.#..##.#..#.###.##.##.###..#.#.#.##.#.#....#.###..#...#.....##...###.###..#..####...#.###...###.#.#..#.#..####..#......#.##.####..#.#..##.#..
..##.##.#..#.####.#####..##.#.##.#.####.####.#####.#...#.####.##..#..#..#..##...##..#..##.##.###.#.#.###.###.#.###..######..####...#.####.#.....#.#..###..#..###.....#..###...###.#..######.#.####..#.#.##.#####....##.#.##.......##.##.###.#..#..##.#...###.#..##.###..#.#.#..##.....##.#..#..#.#..########.###.#..#.#.####..#...##.#.##..#.##...#..#..##.#......###..#.......#..#..##.#...###.#..##.###..#.#.#..##.....##.#..#..#.#..########.###.#..#.#.####..#...##.#.##..#.##...#..#..##.#......###..#.......#..#..##.#...###.#..##.###..#.#.#..##.....##.#..#..#.#..########.###.#..#.#.####..#...##.#.##..#.##...#..#..##.#......###..#.......#..#..##.#...###.#..##.###..#.#.#..##.....##.#..#..#.#..########.###.#..#.#.####..#...##.#.##..#.##...#..#..##.#......###..#.......#..#..##.#...###.#..##.###..#.#.#..##.....##.#..#..#.#..########.###.#..#.#.####..#...##.#.##..#.##...#..#..##.#......###..#.......#..#..##.#...###.#..##.###..#.#.#..##.....##.#..#..#.#..########.###.#..#.#.####..#...##.#.##..#.##...#..#..#
##..#..#...#..##....#####.###..##..######...#.##...#..#.#....##...#....###..#..#..##....#..#..#####.######.#..##....##....###.#.#...##......#..#..#####..#.#..#...#..####....#.#..##.###..#.##.#.##.##...#...##.#.####.#.##.##..####.#........##..#.#..##..##.##....#.#.##.#.#.#.#.##..#..##..######..##.#...#.##.#####.#########.#..####...#...#.##.#..##....##...####.########..#..#.#..##..##.##....#.#.##.#.#.#.#.##..#..##..######..##.#...#.##.#####.#########.#..####...#...#.##.#..##....##...####.########..#..#.#..##..##.##....#.#.##.#.#.#.#.##..#..##..######..##.#...#.##.#####.#########.#..####...#...#.##.#..##....##...####.########..#..#.#..##..##.##....#.#.##.#.#.#.#.##..#..##..######..##.#...#.##.#####.#########.#..####...#...#.##.#..##....##...####.########..#..#.#..##..##.##....#.#.##.#.#.#.#.##..#..##..######..##.#...#.##.#####.#########.#..####...#...#.##.#..##....##...####.########..#..#.#..##..##.##....#.#.##.#.#.#.#.##..#..##..######..##.#...#.##.#####.#########.#..####...#...#.##.#..#
#..######.#####..#...##..#..#####.#...#.#....#...##.####....####.#....####..#...#..##..##...#.#.#.###.##....#.##.#..##.#....###...###...#####..#.#.#..##...##..#.#####...#####...#...##......#..##..#.....###.#.#.#..#..#.#.####.####.##.#.##...#.#.....##.......#..####...#.##.##...##.#..##.##..##.#.#.#.###..######.#.####..###...#...##..#..##.#...#.###.#.####..##.#.###..##.#..#.....##.......#..####...#.##.#....##.#..##.##..##.#.#.#.###..######.#.####..###...#...##..#..##.#...#.###.#.####..##.#.###..##.#..#.....##.......#..####...#.##.#....##.#..##.##..##.#.#.#.###..######.#.####..###...#...##..#..##.#...#.###.#.####..##.#.###..##.#..#.....##.......#..####...#.##.#....##.#..##.##..##.#.#.#.###..######.#.####..###...#...##..#..##.#...#.###.#.####..##.#.###..##.#..#.....##.......#..####...#.##.#....##.#..##.##..##.#.#.#.###..######.#.####..###...#...##..#..##.#...#.###.#.####..##.#.###..##.#..#.....##.......#..####...#.##.#....##.#..##.##..##.#.#.#.###..######.#.####..###...#...##..#..##.#...#.
##....#.##...#####.##..##.##.###..##.#.##.##.##..#####.#..#.#.##.##..#....####...#.##..#..#.###.######.#.#.#.##...######.#.##..#..#..#....###.#...##..#..###.###.#.###.##...###..###...#..#.#.###.#..#.#...#....##.##....###.##.###.###.###.#..####....#.#.##....#.####..#.######.###.#.#.#..#.###.....#.#.##.....##.#.##...#..#.........####.###..##.#..#.#.###.#.#######..##.#.#####....#.#.##....#.####..#.######.###.#.#.#..#.###.....#.#.##.....##.#.##...#..#.........####.###..##.#..#.#.###.#.#######..##.#.#####....#.#.##....#.####..#.######.###.#.#.#..#.###.....#.#.##.....##.#.##...#..#.........####.###..##.#..#.#.###.#.#######..##.#.#####....#.#.##....#.####..#.######.###.#.#.#..#.###.....#.#.##.....##.#.##...#..#.........####.###..##.#..#.#.###.#.#######..##.#.#####....#.#.##....#.####..#.######.###.#.#.#..#.###.....#.#.##.....##.#.##...#..#.........####.###..##.#..#.#.###.#.#######..##.#.#####....#.#.##....#.####..#.######.###.#.#.#..#.###.....#.#.##.....##.#.##...#..#.........####.###..##.#..
#.#.###..###.#####.#.##.#.#.#...##.#####.#.###..#.####..#..#.#.##....###.....###.#.#..#.#...##.####....#...##....#...#.#....##.####.###.##.#.#.####...####..##.#.#..####.#.#.#..###....##......##.#..#.###.#.#.######.###..#..#...##...########..#.#...#..#.#..###.#....##....##.#...#.###...#...##..#...#.#.#.##.#..##..#.#####.#..#....##...##..#.....#.#.##......##.#...#.#.#...##.#...#..#.#..###.#....##....##.#...#.###...#...##..#...#.#.#.##.#..##..#.#####.#..#....##...##..#.....#.#.##......##.#...#.#.#...##.#...#..#.#..###.#....##....##.#...#.###...#...##..#...#.#.#.##.#..##..#.#####.#..#....##...##..#.....#.#.##......##.#...#.#.#...##.#...#..#.#..###.#....##....##.#...#.###...#...##..#...#.#.#.##.#..##..#.#####.#..#....##...##..#.....#.#.##......##.#...#.#.#...##.#...#..#.#..###.#....##....##.#...#.###...#...##..#...#.#.#.##.#..##..#.#####.#..#....##...##..#.....#.#.##......##.#...#.#.#...##.#...#..#.#..###.#....##....##.#...#.###...#...##..#...#.#.#.##.#..##..#.#####.#..#....##...##..#.....#
##.###..#....#.####...##....#.#....#.##.#.##.#..#.##.###.###.##.##.###.#.#..##..##...####..##...#####......##.#...#......#....#.#..#..##...#.##..#####.#.##.#.......#.###..#.##.####.#..#.#.####.##.......##..#...#..##...##..#.#.#.#######...#.#.####.####.#..##.....#.#.####..#.#..#..###.#.#......#..#.###.####......###.##.###.###.#.#..##.##.####.##.#.##.##.#####.##..#.....#..####.####.#..##.....#.#.####..#.#..#..###.#.#......#..#.###.####......###.##.###.###.#.#..##.##.####.##.#.##.##.#####.##..#.....#..####.####.#..##.....#.#.####..#.#..#..###.#.#......#..#.###.####......###.##.###.###.#.#..##.##.####.##.#.##.##.#####.##..#.....#..####.####.#..##.....#.#.####..#.#..#..###.#.#......#..#.###.####......###.##.###.###.#.#..##.##.####.##.#.##.##.#####.##..#.....#..####.####.#..##.....#.#.####..#.#..#..###.#.#......#..#.###.####......###.##.###.###.#.#..##.##.####.##.#.##.##.#####.##..#.....#..####.####.#..##.....#.#.####..#.#..#..###.#.#......#..#.###.####......###.##.###.###.#.#..##.##.####.##
.###..##...####.#...#...####..##.###.####..#.#..#.##.#.#.#...#..#####..###....#.#.####....#.###...#..#..#.##.##..##.#.#.#.##.#..#####..#####..##.##.#..#.#......#...#.####.#.#.#.##.#.#...##.#..##..##....###.##...#..##...#..#####.####..#.#.##.####..##..#####.###....#..#......#.####.#....#####.#.####......#...###.###..#..#.#.#..#....#.###.....###.####.###...#.#.##...##.#.#####..##..#####.###....#..#......#.####.#....#####.#.####......#...###.###..#..#.#.#..#....#.###.....###.####.###...#.#.##...##.#.#####..##..#####.###....#..#......#.####.#....#####.#.####......#...###.###..#..#.#.#..#....#.###.....###.####.###...#.#.##...##.#.#####..##..#####.###....#..#......#.####.#....#####.#.####......#...###.###..#..#.#.#..#....#.###.....###.####.###...#.#.##...##.#.#####..##..#####.###....#..#......#.####.#....#####.#.####......#...###.###..#..#.#.#..#....#.###.....###.####.###...#.#.##...##.#.#####..##..#####.###....#..#......#.####.#....#####.#.####......#...###.###..#..#.#.#..#....#.###.....###
..##.##.#.#.#.#########.#..#.#.###.#.#.#...#.....###.#####.###.######.##..#.#...#####..#####.##.#....#..#.....#..####..###..##.##..#..#..##...###.#.#####.##..##.#.....###.####.####..#..#.....####.#...##.##..#...##.....##.##.####.#..#.#......##....##.#....###...###.....###...#..#..######.#.#.#..##.###.#.##.###..##.....#..##.#.###.##..#.###.#.......##.##.#.#.##..###.###..##....##.#....###...###.....###...#..#..######.#.#.#..##.###.#.##.###..##.....#..##.#.###.##..#.###.#.......##.##.#.#.##..###.###..##....##.#....###...###.....###...#..#..######.#.#.#..##.###.#.##.###..##.....#..##.#.###.##..#.###.#.......##.##.#.#.##..###.###..##....##.#....###...###.....###..##..#..######.#.#.#..##.###.#.##.###..##.....#..##.#.###.##..#.###.#.......##.##.#.#.##..###.###..##....##.#....###...###.....###...#..#..######.#.#.#..##.###.#.##.###..##.....#..##.#.###.##..#.###.#.......##.##.#.#.##..###.###..##....##.#....###...###.....###...#..#..######.#.#.#..##.###.#.##.###..##.....#..##.#.###.##..#.###.#...
#.#.###.#.##.......##.#....##.#.....##.###.#..##.#..##.#####.##...##.#.#.##.##...#.##...#.#...#..###...#.#...#...#...#.#.#.......#####.###.#.##.####.#.#.##..###..##.##..###...#..#.##.#.##....#.##...#.#.#..#.#..#..###..##..#..#.#####......#####.#.#####...##.#...#.###.#####.##.###..##.#..#..#.#..##.#...#.#..####...##.#...#.#.#......#.#.##.#.###.#.####..#.####.########.##.##.#.#####...##.#...#.###.#####.##.###..##.#..#..#.#..##.#...#.#..####...##.#...#.#.#......#.#.##.#.###.#.####..#.####.########.##.##.#.#####...##.#...#.###.#####.##.###..##.#..#..#.#..##.#...#.#..####...##.#...#.#.#......#.#.##.#.###.#.####..#.####.########.##.##.#.#####...##.#...#.###.#####.##.###..##.#..#..#.#..##.#...#.#..####...##.#...#.#.#......#.#.##.#.###.#.####..#.####.########.##.##.#.#####...##.#...#.###.#####.##.###..##.#..#..#.#..##.#...#.#..####...##.#...#.#.#......#.#.##.#.###.#.####..#.####.########.##.##.#.#####...##.#...#.###.#####.##.###..##.#..#..#.#..##.#...#.#..####...##.#...#.#.#......#.#.##.#.###.
#####.####..##.#.#..#.#.#.#######...#####..###....##...#....#..#..#.#####..#..##..##....##.#.#.##..#.#.######.#.#.#..##..#####.#.#.##..##..##.#.###..##.#...##.#####.##.##.#....##..#####.##.##.#.#########...###..#..##.#.....#.#.###.....#..##.....#.##.#.#.###.####..##....##....##..#.#.##.#.......######.#####.##....##...##.####..#.#..#####.#..#####...#..#############.....#....#.##.#.#..##.####..##....##....##..#.#.##.#.......######.#####.##....##...##.####..#.#..#####.#..#####...#..#############.....#....#.##.#.#..##.####..##....##....##..#.#.##.#.......######.#####.##....##...##.####..#.#..#####.#..#####...#..#############.....#....#.##.#.#..##.####..##....##....##..#.#.##.#.......######.#####.##....##...##.####..#.#..#####.#..#####...#..#############.....#....#.##.#.#..##.####..##....##....##..#.#.##.#.......######.#####.##....##...##.####..#.#..#####.#..#####...#..#############.....#....#.##.#.#..##.####..##....##....##..#.#.##.#.......######.#####.##....##...##.####..#.#..#####.#..###
.#..#.#...#..#######.##..#....#.#..##.#..#.#...#..##.#.##...#.###..#.....#....#####...###.#.#...#.#...#.###..###.#.#..##.#....##.#....#..#..##.#.#..#..############.#.###.#..##.#....####...#.#.##.#####..#.#...##..#.#..###.#.##.####..#..#.##..#..#.............##..##..###.#.########..###....#.#...#.######.#..######....#..###.#...#.....#..#.###...#...##..#..#.###.#.##.#.####..#.............##..##..###.#.########..###....#.#...#.######.#..######....#..###.#...#.....#..#.###...#...##..#..#.###.#.##.#.##.#..#.......#.....##..##..###.#.########..###....#.#...#.######.#..######....#..###.#...#.....#..#.###...#...##..#..#.###.#.##.#.##.#..#.............##..##..###.#.########..###....#.#...#.######.#..######....#..###.#...#.....#..#.###...#...##..#..#.###.#.##.#.##.#..#.............##..##..###.#.########..###....#.#...#.######.#..######....#..###.#...#.....#..#.###...#...##..#..#.###.#.##.#.##.#..#.............##..##..###.#.########..###....#.#...#.######.#..######....#..###.#...#.....#..#.###...
..#..###.#.#...####.#......#.#.#...###.##..#.###.#.#..#..##.#.#...###.##.#.####..#.#.#.#..###..##.##..#.###.#.#.##....##.#....##..#..##.####..#.#####..###...#....##..#.#####.###..#.##.###.##..#..#####..###..##.#.#.#.#..#...##..#..#.#.#.#.#.##...#...#..###.##.####..##..##.####.#.####..##.###.##...####.#...#.##...#...##...####.#...##.#...#.###...#...#.##..#.####.#.#...##.#...#...#..###.##.####..##..##.####.#.####..##.###.##...####.#...#.##...#...##...####.#...##.#...#.###...#...#.##..#.####.#.#...##.#...#...#..###.##.####..##..##.####.#.####..##.###.##...####.#...#.##...#...##...####.#...##.#...#.###...#...#.##..#.####.#.#...##.#...#...#..###.##.####..##..##.####.#.####..##.###.##...####.#...#.##...#...##...####.#...##.#...#.###...#...#.##..#.####.#.#...##.#...#...#..###.##.####..##..##.####.#.####..##.###.##...####.#...#.##...#...##...####.#...##.#...#.###...#...#.##..#.####.#.#...##.#...#...#..###.##.####..##..##.####.#.####..##.###.##...####.#...#.##...#...##...####.#...##.#...#.###..
#..###.#.####.#.##...#...##....#.#..#.#.###..#######....#.#..#.#.....####.....###.###..#...#..#..##..#.#..#..##..##..#.#.#.##.###..#######......#####.#.#####.##.#..###.##.#.##.#..#.##.#.###.###.##.#..###..#...#.##..##.#...##.#...##...###....#..####..##...##..#..##...###...#.###.##..###..#.#..##.....###..#.#...#.#..#......###.##....##.#.....####...##..###.##.#.#......#.##..####..##...##..#..##...###...#.###.##..###..#.#..##.....###..#.#...#.#..#......###.##....##.#.....####...##..###.##.#.#......#.##..####..##...##..#..##...###...#.###.##..###..#.#..##.....###..#.#...#.#..#......###.##....##.#.....####...##..###.##.#.#......#.##..####..##...##..#..##...###...#.###.##..###..#.#..##.....###..#.#...#.#..#......###.##....##.#.....####...##..###.##.#.#......#.##..####..##...##..#..##...###...#.###.##..###..#.#..##.....###..#.#...#.#..#......###.##....##.#.....####...##..###.##.#.#......#.##..####..##...##..#..##...###...#.###.##..###..#.#..##.....###..#.#...#.#..#......###.##....##.#.....###
##.#######....##..##...#...###.#...##.##..#.#..#.#....#.#.....#.######..####.....##.#..#..##.##.###.#####...##.....####.##.##......###.#.#.#.##.#.###.##...#.#.#.#..#...###...#.#..####.#####.#.##....###.#.##.#...#.###...#.#.###.##...##.###.##...##.##.###.....#.###.#.#.#.#..#..###.####...########.##.#.#.###.##..##.####..#.#..##......###.##......##..#....##..........#.##.....##.##.###.....#.###.#.#.#.#..#..###.####...########.##.#.#.###.##..##.####..#.#..##......###.##......##..#....##..........#.##.....##.##.###.....#.###.#.#.#.#..#..###.####...########.##.#.#.###.##..##.####..#.#..##......###.##......##..#....##..........#.##.....##.##.###.....#.###.#.#.#.#..#..###.####...########.##.#.#.###.##..##.####..#.#..##......###.##......##..#....##..........#.##.....##.##.###.....#.###.#.#.#.#..#..###.####...########.##.#.#.###.##..##.####..#.#..##......###.##......##..#....##..........#.##.....##.##.###.....#.###.#.#.#.#..#..###.####...########.##.#.#.###.##..##.####..#.#..##......###.##......
...#.....##.#...#...#..#..#..##..#....#..#.#.#..##....##...####...#.#....####..#...###..##..#.#...#.#####..#.#......#...#..###.####...##.###.#.###.#.#..###..#..#.##...##.##..#..#..#..##.#..#.#..#..##..#.#...##..#####...####.##...##..#.####..#..#...##..#####...#.##.####.#.######....#######.####.######.#..###..#.####.###.####.##...##..#.##..##..##.#.#.#.#.#.####.#..#....##..#...##..#####...#.##.####.#.######....#######.####.######.#..###..#.####.###.####.##...##..#.##..##..##.#.#.#.#.#.####.#..#....##..#...##..#####...#.##.####.#.######....#######.####.######.#..###..#.####.###.####.##...##..#.##..##..##.#.#.#.#.#.####.#..#....##..#...##..#####...#.##.####.#.######....#######.####.######.#..###..#.####.###.####.##...##..#.##..##..##.#.#.#.#.#.####.#..#....##..#...##..#####...#.##.####.#.######....#######.####.######.#..###..#.####.###.####.##...##..#.##..##..##.#.#.#.#.#.####.#..#....##..#...##..#####...#.##.####.#.######....#######.####.######.#..###..#.####.###.####.##...##..#.##..##..
##.#.....#..#.....#...#..#.##.#..##.##..##.#.#.#.###.#.#..#..#.##...#....#....#.....#.##.#.#..#.##.#..##...###.#..##...#.#.....###...#..##.##.#######....#.#..#..##...###.###.#...#..##.#.##...#.###...#..#.#.#..#..#.#..###.#....##.#....#..#.###.#.##..##.#.....#.#..#.#.#...#...##..#...##....#....#..#.####.##.#..#.####...###.#..######.#....##...#.#.####...###....#.#.#.#..#.#.#.##..##.#.....#.#..#.#.#...#...##..#...##....#....#..#.####.##.#..#.####...###.#..######.#....##...#.#.####...###....#.#.#.#..#.#.#.##..##.#.....#.#..#.#.#...#...##..#...##....#....#..#.####.##.#..#.####...###.#..######.#....##...#.#.####...###....#.#.#.#..#.#.#.##..##.#.....#.#..#.#.#...#...##..#...##....#....#..#.####.##.#..#.####...###.#..######.#....##...#.#.####...###....#.#.#.#..#.#.#.##..##.#.....#.#..#.#.#...#...##..#...##....#....#..#.####.##.#..#.####...###.#..######.#....##...#.#.####...###....#.#.#.#..#.#.#.##..##.#.....#.#..#.#.#...#...##..#...##....#....#..#.####.##.#..#.####...###.#..######.#....##...#.
.#.##.#.##.###.##..#.##....###...##.##..###.#.#...#.#...##.###.#.###..####...#######....#######..##..##..#.#.##.##.#####.....#...#.##..##.#..#.......###...#######.#..##.##...###....##...#.#..#.#...##.###.#....##..##...###.#.#..#.#.#####.#...##.#....##.#....##..#..##..######.#####.##.#####.#.#..#.#.###...#.#..#.##.###.#...#.#########..#.##...#...#.....####.#.#....#####.###.#....##.#....##..#..##..######.#####.##.#####.#.#..#.#.###...#.#..#.##.###.#...#.#########..#.##...#...#.....####.#.#....#####.###.#....##.#....##..#..##..######.#####.##.#####.#.#..#.#.###...#.#..#.##.###.#...#.#########..#.##...#...#.....####.#.#....#####.###.#....##.#....##..#..##..######.#####.##.#####.#.#..#.#.###...#.#..#.##.###.#...#.#########..#.##...#...#.....####.#.#....#####.###.#....##.#....##..#..##..######.#####.##.#####.#.#..#.#.###...#.#..#.##.###.#...#.#########..#.##...#...#.....####.#.#....#####.###.#....##.#....##..#..##..######.#####.##.#####.#.#..#.#.###...#.#..#.##.###.#...#.#########..#.##...#.
....##.##.#####...####.#...#.#..###.#.###...###...##...#...##..#..#..#...#..###.###.#..#..##.##.###....#....#..#....##.#.#..##...###..#####.#..#..#.#.####....##.###...###.##.#..##.#.#.##.#.#..#.#.##.###.#..########..#.#..#.#..####.#####...###.##...#.#.#.##.###..#.#.###......#.###.#.#..#.#.#.##.###.#.###.#.....###.#.###.#.##...###..###.#.########..##.#....##.##.#..###.#.#.##...#.#.#.##.###..#.#.###......#.###.#.#..#.#.#.##.###.#.###.#.....###.#.###.#.##...###..###.#.########..##.#....##.##.#..###.#.#.##...#.#.#.##.###..#.#.###......#.###.#.#..#.#.#.##.###.#.###.#.....###.#.###.#.##...###..###.#.########..##.#....##.##.#..###.#.#.##...#.#.#.##.###..#.#.###......#.###.#.#..#.#.#.##.###.#.###.#.....###.#.###.#.##...###..###.#.########..##.#....##.##.#..###.#.#.##...#.#.#.##.###..#.#.###......#.###.#.#..#.#.#.##.###.#.###.#.....###.#.###.#.##...###..###.#.########..##.#....##.##.#..###.#.#.##...#.#.#.##.###..#.#.###......#.###.#.#..#.#.#.##.###.#.###.#.....###.#.###.#.##...###..###.#.######
##.......#..###.##...#.###.#..########.######..##......#..##..#.#...##...##.##....#..##.###..###....#..#.##....#....##.....######.#.#.#...#.###.#####..#.#.#..#.#...#.##..##..#.###.###....#.#...#.#...#...###...#..#.##..#..###.#..###.###.....#...###.##..#.##.##...#######.#..########...##...#.#.##...##.##..#..##.###.####.####.#..##...#.#..#...#.###...####.#..###...#.###..#...###.##..#.##.##...#######.#..########...##...#.#.##...##.##..#..##.###.####.####.#..##...#.#..#...#.###...####.#..###...#.###..#...###.##..#.##.##...#######.#..########...##...#.#.##...#####..#..##.###.####.####.#..##...#.#..#...#.###...####.#..###...#.###..#...###.##..#.##.##...#######.#..########...##...#.#.##...##.##..#..##.###.####.####.#..##...#.#..#...#.###...####.#..###...#.###..#...###.##..#.##.##...#######.#..########...##...#.#.##...##.##..#..##.###.####.####.#..##...#.#..#...#.###...####.#..###...#.###..#...###.##..#.##.##...#######.#..########...##...#.#.##...##.##..#..##.###.####.####.#..##...#.#..#...#.#
.#..###.##..#.###.#...##.##...#.#.###..#.###...###.#..###.#..#..##.....#.##....##....##..##....##..#..#..#..##.#..#.####...###..##.##.#....##.#.#.######.#...#....#....#.#..##..#.###....#....####...###....###...##.###......#..#.#.....#..#.###......#...##.###..###.#..#.###.#.#.#.#...#.#.#.##..#.....###..#.###......##.#......###...####......#.##.##...#.#....#.##...##..#.##......#...##.###..###.#..#.###.#.#.#.#...#.#.#.##..#.....###..#.###......##.#......###...####......#.##.##...#.#....#.##...##..#.##......#...##.###..###.#..#.###.#.#.#.#...#.#.#.##..#.....###..#.###......##.#......###...####......#.##.##...#.#....#.##...##..#.##......#...##.###..###.#..#.###.#.#.#.#...#.#.#.##..#.....###..#.###......##.#......###...####......#.##.##...#.#....#.##...##..#.##......#...##.###..###.#..#.###.#.#.#.#...#.#.#.##..#.....###..#.###......##.#......###...####......#.##.##...#.#....#.##...##..#.##......#...##.###..###.#..#.###.#.#.#.#...#.#.#.##..#.....###..#.###......##.#......###...####......#.##.
#.......###..##...##..##..#...##.#..###.#..###.#.#..#####...##.#..#...##.#..###......#..#.##.#....#####......##....###.##...#.........##.#..##.#.#.###..##..#.#.#.#.#....##..#.#..#.#....##.....#.####....#.#.##....##.#####.##.##..##..#.#...#.#.....##..##......###...#...#.#.##...#######..##.######..##.###..#...#..##...###..#.#...##.#.####.##...###..####.##.#.#.#.##.##....#.....##..##......###...#...#.#.##...#######..##.######..##.###..#...#..##...###..#.#...##.#.####.##...###..####.##.#.#.#.##.##....#.....##..##......###...#...#.#.##...#######..##.######..##.###..#...#..##...###..#.#...##.#.####.##...###..####.##.#.#.#.##.##....#.....##..##......###...#...#.#.##...#######..##.######..##.###..#...#..##...###..#.#...##.#.####.##...###..####.##.#.#.#.##.##....#.....##..##......###...#...#.#.##...#######..##.######..##.###..#...#..##...###..#.#...##.#.####.##...###..####.##.#.#.#.##.##....#.....##..##......###...#...#.#.##...#######..##.######..##.###..#...#..##...###..#.#...##.#.####.##...##
.#.##.....##.##.#..#..#...###.##.#.###.###########.#####..##.###......#..#.#...##...#####.########..#.####..#.####..#.#...##..####..#.###...#....##....#.......####.##.###.##.#.#..####...#######.#.....##.##....##...##....#..#.#.###.#..#.#.#####..##.###.#...#.#.#.#..#####.#..##.....##.#....##.#.#..###..##...###.###.#.#..#.#..#...##.#...#.#.....#..#.#..#.#.#..#.######..#####..##.###.#...#.#.#.#..#####.#..##.....##.#....##.#.#..###..##...###.###.#.#..#.#..#...##.#...#.#.....#..#.#..#.#.#..#.######..#####..##.###.#...#.#.#.#..#####.#..##.....##.#....##.#.#..###..##...###.###.#.#..#.#..#...##.#...#.#.....#..#.#..#.#.#..#.######..#####..##.###.#...#.#.#.#..#####.#..##.....##.#....##.#.#..###..##...###.###.#.#..#.#..#...##.#...#.#.....#..#.#..#.#.#..#.######..#####..##.###.#...#.#.#.#..#####.#..##.....##.#....##.#.#..###..##...###.###.#.#..#.#..#...##.#...#.#.....#..#.#..#.#.#..#.######..#####..##.###.#...#.#.#.#..#####.#..##.....##.#....##.#.#..###..##...###.###.#.#..#.#..#...##.#...#.#.....#
....###.###.###..#.#....#....#...##...##..#.#.##......###...##.#..##...##..#.##.####......#...#..##.###.#####..#..##...#.###.##..#.##.....###..#...#.##.#.#.###..#..##.##..##.#.###..#.##.....##..#....##...#...##........###.#..#..#.#..#..##.....##..##.#....##...####.###.#..#..###.#..#.#.#.#..#.#.#..#.##..#..#####.#..#.#.#.###.###....#.#....####.#...#..##.##.###..###...#.#..##..##.#....##...####.###.#..#..###.#..#.#.#.#..#.#.#..#.##..#..#####.#..#.#.#.###.###....#.#....####.#...#..##.##.###..###...#.#..##..##.#....##...####.###.#..#..###.#..#.#.#.#..#.#.#..#.##..#..#####.#..#.#.#.###.###....#.#....####.#...#..##.##.###..###...#.#..##..##.#....##...####.###.#..#..###.#..#.#.#.#..#.#.#..#.##..#..#####.#..#.#.#.###.###....#.#....####.#...#..##.##.###..###...#.#..##..##.#....##...####.###.#..#..###.#..#.#.#.#..#.#.#..#.##..#..#####.#..#.#.#.###.###....#.#....####.#...#..##.##.###..###...#.#..##..##.#....##...####.###.#..#..###.#..#.#.#.#..#.#.#..#.##..#..#####.#..#.#.#.###.###....#.#....####.
...##.#..###.##.#.#####.#...#.##..##..##.#.##.#...##..#..#....#.#.#...####...##.#....##.###.#####.###.#.########.####.#...##.##..##....###.#.###..........#....##...####...###.#.#...##...#...#..#.###....#.##.#########.#..######.#..##.#.....#..#....##...#.###..#.#...#.###.#.#...#####.##....#...#...##.#..####..#.###....#.....#...########.#.###.####..#...#..#..##...#..#.##..#....##...#.###..#.#...#.###.#.#...#####.##....#...#...##.#..####..#.###....#.....#...########.#.###.####..#...#..#..##...#..#.##..#....##...#.###..#.#...#.###.#.#...#####.##....#...#...##.#..####..#.###....#.....#...########.#.###.####..#...#..#..##...#..#.##..#....##...#.###..#.#...#.###.#.#...#####.##....#...#...##.#..####..#.###....#.....#...########.#.###.####..#...#..#..##...#..#.##..#....##...#.###..#.#...#.###.#.#...#####.##....#...#...##.#..####..#.###....#.....#...########.#.###.####..#...#..#..##...#..#.##..#....##...#.###..#.#...#.###.#.#...#####.##....#...#...##.#..####..#.###....#.....#...########.#.###.##
###...#.#####.#..##.#..#.####..#..###.##.#####...###...######.#...##..#.###....#......##..#.#..#.####.##.#.#####......#.####..#..#.##.......#.##..##.#.#.....####..#########...##.........##.#..#..#......#.##.##..###..##.#.##.###..#.######...#.#....####...#######.##.#....#####.#####.#.#..#...#.#.#....#.##.#.#..##....#....#.#.##...###.#...#.#.#.#.##..#.###.#.#....###.......#....####...#######.##.#....#####.#####.#.#..#...#.#.#....#.##.#.#..##....#....#.#.##...###.#...#.#.#.#.##..#.###.#.#....###.......#....####...#######.##.#....#####.#####.#.#..#...#.#.#....#.##.#.#..##....#....#.#.##...###.#...#.#.#.#.##..#.###.#.#....###.......#....####...#######.##.#....#####.#####.#.#..#...#.#.#....#.##.#.#..##....#....#.#.##...###.#...#.#.#.#.##..#.###.#.#....###.......#....####...#######.##.#....#####.#####.#.#..#...#.#.#....#.##.#.#..##....#....#.#.##...###.#...#.#.#.#.##..#.###.#.#....###.......#....####...#######.##.#....#####.#####.#.#..#...#.#.#....#.##.#.#..##....#....#.#.##...###.#...#.#.#.#
###.##..##...#####..####..#...#.###....#..#.##.#..#....##.##...##########...#.###.###.#.#..####..##......###..##.#.#####..#.#.#..#.....#...##..###....#..#..#.#..#.#.#.#..#.####..###.#..###.#.##.#..##..#..#........#..#...##..#.##...#.#.##..####..####.#....#.......#.##....#....#.###..#....#####..#..##..##...#.#.#....##.##.##.#.##.#....#.#..##.#.##.##.#...##....##..#.##.####..####.#....#.......#.##....#....#.##...#....#####..#..##..##...#.#.#....##.##.##.#.##.#....#.#..##.#.##.##.#...##....##..#.##.####..####.#....#.......#.##....#....#.##...#....#####..#..##..##...#.#.#....##.##.##.#.##.#....#.#..##.#.##.##.#...##....##..#.##.####..####.#....#.......#.##....#....#.##...#....#####..#..##..##...#.#.#....##.##.##.#.##.#....#.#..##.#.##.##.#...##....##..#.##.####..####.#....#.......#.##....#....#.##...#....#####..#..##..##...#.#.#....##.##.##.#.##.#....#.#..##.#.##.##.#...##....##..#.##.####..####.#....#.......#.##....#....#.##...#....#####..#..##..##...#.#.#....##.##.##.#.##.#....#.#..##.#.
...#..##.#.#.####...##..#.#.####..##...#.#.#..#.#....#..####.#.#..#......#.#.#..##...#..#...#...##.#...###........##.#.....##.#...#...####.###.###.####.###...#..####.###.#####...###..#.##...#.###..#...##.#..#####....######......######.###.#.#.....#.#.#.##....##.....#.#..##.#..#..##...#.#....#..##.##.##.#.#.#...##.#.##..#.#.#..##.....##.........#...##.######.##.....#...##.....#.#.#.##....##.....#.#..##.#..#..##...#.#....#..##.##.##.#.#.#...##.#.##..#.#.#..##.....##.........#...##.######.##.....#...##.....#.#.#.##....##.....#.#..##.#..#..##...#.#....#..##.##.##.#.#.#...##.#.##..#.#.#..##.....##.........#...##.######.##.....#...##.....#.#.#.##....##.....#.#..##.#..#..##...#.#....#..##.##.##.#.#.#...##.#.##..#.#.#..##.....##.........#...##.######.##.....#...##.....###.#.##....##.....#.#..##.#..#..##...#.#....#..##.##.##.#.#.#...##.#.##..#.#.#..##.....##.........#...##.######.##.....#...##.....#.#.#.##....##.....#.#..##.#..#..##...#.#....#..##.##.##.#.#.#...##.#.##..#.#.#..##.....##........
.....#..#.#..##.#######....#.....###.###....#..#..###..###..####...##.#.##.###.....####.##..#.#####..#.#..##.#.#.##..###.###..###.#.#..#.#...#.#####...##.##..#..#..#..###.#..#####.#.######.#.##.#..##...##..#........##..#.##.########.##.####..###.##..#..##.###.#.##...#.###..#...#...#..#..####...##.#.####.####...#.#......##.#.#......######..#..##...#.###.#.#.#..#.#.....#..###.##..#..##.###.#.##...#.###..#...#...#..#..####...##.#.####.####...#.#......##.#.#......######..#..##...#.###.#.#.#..#.#.....#..###.##..#..##.###.#.##...#.###..#...#...#..#..####...##.#.####.####...#.#......##.#.#......######..#..##...#.###.#.#.#..#.#.....#..###.##..#..##.###.#.##...#.###..#...#...#..#..####...##.#.####.####...#.#......##.#.#......######..#..##...#.###.#.#.#..#.#.....#..###.##..#..##.###.#.##...#.###..#...#...#..#..####...##.#.####.####...#.#......##.#.#......######..#..##...#.###.#.#.#..#.#.....#..###.##..#..##.###.#.##...#.###..#...#...#..#..####...##.#.####.####...#.#......##.#.#......######..#..#
##.#.#..#.#.#####..###..##.#...####..##.####.##..#..##.#.#..#....####.##.....#..#.#..###....#.#.#.####..##.#.##....##.....##.##.##.####..#.####..#...#..#.#.#....##.###...#.########....###.#....#.#.##..#.##.#.####.....#...#####...#......#.#####..##..#..###.##..##.#..#...##.###....#........###..######.#.####..##.##...#..###...##..###..#.#.##.###.###.#.##....###.######..#.##..##..#..###.##..##.#..#...##.###....#........###..######.#.####..##.##...#..###...##..###..#.#.##.###.###.#.##....###.######..#.##..##..#..###.##..##.#..#...##.###....#........###..######.#.####..##.##...#..###...##..###..#.#.##.###.###.#.##....###.######..#.##..##..#..###.##..##.#..#...##.###....#........###..######.#.####..##.##...#..###...##..###..#.#.##.###.###.#.##....###.######..#.##..##..#..###.##..##.#..#...##.###....#........###..######.#.####..##.##...#..###...##..###..#.#.##.###.###.#.##....###.######..#.##..##..#..###.##..##.#..#...##.###....#........###..######.#.####..##.##...#..###...##..###..#.#.##.###
....#.......##.#.#######..#.#..####...#..#...####.###..#....#..#.##.#.#.#####.#.#.#.#.#####...##..####......#..##..####.#.#.#.#..###.#.##...##..##.#.##..##.##.##.#..##..##..#.#.##..##..#.##.##.#..##.#######..##.####.####.#...######...#####.###.##.#.#...##..#..#.#....##...#######..#.##..#.#..###.###...#.##...###.....##.#..#.#..#..#...#...######..##..##..###..###.#.########.##.#.#...##..#..#.#....##...#######..#.##..#.#..###.###...#.##...###.....##.#..#.#..#..#...#...######..##..##..###..###.#.########.##.#.#...##..#..#.#....##...#######..#.##..#.#..###.###...#.##...###.....##.#..#.#..#..#...#...######..##..##..###..###.#.########.##.#.#...##..#..#.#....##...#######..#.##..#.#..###.###...#.##...###.....##.#..#.#..#..#...#...######..##..##..###..###.#.########.##.#.#...##..#..#.#....##...#######..#.##..#.#..###.###...#.##...###.....##.#..#.#..#..#...#...######..##..##..###..###.#.########.##.#.#...##..#..#.#....##...#######..#.##..#.#..###.###...#.##...###.....##.#..#.#..#..#...#...######
###.#.....##.#.##.#.....###......#....#.#..##.####.##.##..##..#.###.....##..##..##.#..##.####....#...###.#.##..###.###...#.#...##.#......#.#######..#.#..#...##..#...#.#.##.#.##....###...##.##...##..#..#.#.......#.....#..##.##.#.#.....#...#..##...#.######.#.#..#..#.##...##..###...######...#..#.###.######.###.#.#.#..###....###.......#.#..###......#..###..##.#######.########...#.######.#.#..#..#.##...##..###...######...#..#.###.######.###.#.#.#..###....###.......#.#..###......#..###..##.#######.########...#.######.#.#..#..#.##...##..###...######...#..#.###.######.###.#.#.#..###....###.......#.#..###......#..###..##.#######.########...#.######.#.#..#..#.##...##..###...######...#..#.###.######.###.#.#.#..###....###.......#.#..###......#..###..##.#######.########...#.######.#.#..#..#.##...##..###...######...#..#.###.######.###.#.#.#..###....###.......#.#..###......#..###..##.#######.########...#.######.#.#..#..#.##...##..###...######...#..#.###.######.###.#.#.#..###....###.......#.#..###....
.###.##...#..#.###.###..###.##..##..###....#....##.#.#####.#.#..#.####......###.###.##...#....##....#.##....#..#..#.#..##..##...#.#.#.#.#.###.#.##.#..#..#.#.#.#..#.###..##.#####....#....#####.#.#..###....#..#.##....#...#.#.#.#..#####..###....#.#.###.....##.#...#....#...##..#.#.##...#.##.....##.#.###.#..#.######..####..####.#..#....#.##.#...#....####.###.##.##.#.##.#.#...#.#.###.....##.#...#....#...##..#.#.##...#.##.....##.#.###.#..#.######..####..####.#..#....#.##.#...#....####.###.##.##.#.##.#.#...#.#.###.....##.#...#....#...##..#.#.##...#.##.....##.#.###.#..#.######..####..####.#..##...#.##.#...#....####.###.##.##.#.##.#.#...#.#.###.....##.#...#....#...##..#.#.##...#.##.....##.#.###.#..#.######..####..####.#..#....#.##.#...#....####.###.##.##.#.##.#.#...#.#.###.....##.#...#....#...##..#.#.##...#.##.....##.#.###.#..#.######..####..####.#..#....#.##.#...#....####.###.##.##.#.##.#.#...#.#.###.....##.#...#....#...##..#.#.##...#.##.....##.#.###.#..#.######..####..####.#..#....#.##.#...#..
.########.##.##..##...##..#.###.#..#..#...#...##.##..#.###..##..##.#.##.#...#.##.#..#.#.#.#..#..##.#..######.#.#######.#.#####..#.##....#...#..###..###....#...#.###.##...#..#.####........###.####.##.#.####.#.#.##.##.##.#..###..######.....#.#....#..###..##..#.#.#...####..##..####.#....#.##...##.#....##.####.##...#######...##.#.##..#..##..#.#....#.....##.#.#.#.#..#..###......#..###..##..#.#.#...####..##..####.#....#.##...##.#....##.####.##...#######...##.#.##..#..##..#.#....#.....##.#.#.#.#..#..###......#..###..##..#.#.#...####..##..####.#....#.##...##.#....##.####.##...#######...##.#.##..#..##..#.#....#.....##.#.#.#.#..#..###......#..###..##..#.#.#...####..##..####.#....#.##...##.#....##.####.##...#######...##.#.##..#..##..#.#....#.....##.#.#.#.#..#..###......#..###..##..#.#.#...####..##..####.#....#.##...##.#....##.####.##...#######...##.#.##..#..##..#.#....#.....##.#.#.#.#..#..###......#..###..##..#.#.#...####..##..####.#....#.##...##.#....##.####.##...#######...##.#.##..#..##..#.#...
.#.#.###..##.#...###.####.#.##.###.#..#.#####...#####..#..##..##.##.##..#.##.###..###.#...#.#..#####.....##.#..###..######.##.####..#.##...#.##..#####.####...#.##..##..#.#.#.#....#.####.#.#..#....##.#.#....###..##..#####...#.###.#..###.#.#####.###.....###.#####.###...#.#.##.##...##..##.#####....##..##.#.##.#.......##.#..#.#...#...####..#.#.#.##.##.#.#.#.#.###....###...###.###.....###.#####.###...#.#.##.##...##..##.#####....##..##.#.##.#.......##.#..#.#...#...####..#.#.#.##.##.#.#.#.#.###....###...###.###.....###.#####.###...#.#.##.##...##..##.#####....##..##.#.##.#.......##.#..#.#...#...####..#.#.#.##.##.#.#.#.#.###....###...###.###.....###.#####.###...#.#.##.##...##..##.#####....##..##.#.##.#.......##.#..#.#...#...####..#.#.#.##.##.#.#.#.#.###....###...###.###.....###.#####.###...#.#.##.##...##..##.#####....##..##.#.##.#.......##.#..#.#...#...####..#.#.#.##.##.#.#.#.#.###....###...###.###.....###.#####.###...#.#.##.##...##..##.#####....##..##.#.##.#.......##.#..#.#...#...####..#.#.#.#
####.####.#.###.#....#....##...##.##.##.###.#.#.#.#....###.....#.##.##...##.##...####.......##.#.#..##.#....###.#....#..#..#..##.#####.#...#.#..####...#..#.##.#..#.##..####...#.##.#..#..#....#..#.###..#.###..#.....#.###.#..#.#.#...####....#......####...#.#.#..#####.#.#..##.###.#..#..#...#...##..###.##..#.##...###..#.#.##...#####...##....#.###....##.##.##..#.##...#..##.#.....####...#.#.#..#####.#.#..##.###.#..#..#...#...##..###.##..#.##...###..#.#.##...#####...##....#.###....##.##.##..#.##...#..##.#.....####...#.#.#..#####.#.#..##.###.#..#..#...#...##..###.##..#.##...###..#.#.##...#####...##....#.###....##.##.##..#.##...#..##.#.....####...#.#.#..#####.#.#..##.###.#..#..#...#...##..###.##..#.##...###..#.#.##...#####...##....#.###....##.##.##..#.##...#..##.#.....####...#.#.#..#####.#.#..##.###.#..#..#...#...##..###.##..#.##...###..#.#.##...#####...##....#.###....##.##.##..#.##...#..##.#.....####...#.#.#..#####.#.#..##.###.#..#..#...#...##..###.##..#.##...###..#.#.##...#####...##....#.###.
..#.#.####.#...#..#.#.###.###..#.##.#..#...#.#.......###.####...#.#####..#..#..#.#..###.....###..######.#...#.##...#....#.###.#####.##..##......##.##..###.#.#.....###...#..###.##...####.#...#..#.#..###..##.##.#.#.#.#.###...#.##.#.#..####.##..##..###..#..#..#.#.#...#.#..####.##..#.#..#.#...#..#.##....#.#####.#..##...######..#..###.#.##.#.##.#.....#.#.#.#.###.####..##.##..##..###..#..#..#.#.#...#.#..####.##..#.#..#.#...#..#.##....#.#####.#..##...######..#..###.#.##.#.##.#.....#.#.#.#.###.####..##.##..##..###..#..#..#.#.#...#.#..####.##..#.#..#.#...#..#.##....#.#####.#..##...######..#..###.#.##.#.##.#.....#.#.#.#.###.####..##.##..##..###..#..#..#.#.#...#.#..####.##..#.#..#.#...#..#.##....#.#####.#..##...######..#..###.#.##.#.##.#.....#.#.#.#.###.####..##.##..##..###..#..#..#.#.#...#.#..####.##..#.#..#.#...#..#.##....#.#####.#..##...######..#..###.#.##.#.##.#.....#.#.#.#.###.####..##.##..##..###..#..#..#.#.#...#.#..####.##..#.#..#.#...#..#.##....#.#####.#..##...######..#..###.#.##.#.##.#..
###.#..#.#.###.##..##..#.##...##.#.#.###.##.###.#..#.#.......#..#..#.##.#...#.#.#..#...##.##....#.#.##....##.....#....##.#.#....#...######...#.#####.####....##...###....#.##...#####.##.######.#..###..#......##..#.#......##........#.....##....###..#..#.#.##..##.#......#######.#.#.####..#..##.#.#.##...#......#.#.#....#####.###.....#####.#..#...####..#..##.#..#..##......#..###..#..#.#.##..##.#......#######.#.#.####..#..##.#.#.##...#......#.#.#....#####.###.....#####.#..#...####..#..##.#..#..##......#..###..#..#.#.##..##.#......#######.#.#.####..#..##.#.#.##...#......#.#.#....#####.###.....#####.#..#...####..#..##.#..#..##......#..###..#..#.#.##..##.#......#######.#.#.####..#..##.#.#.##...#......#.#.#....#####.###.....#####.#..#...####..#..##.#..#..##......#..###..#..#.#.##..##.#......#######.#.#.####..#..##.#.#.##...#......#.#.#....#####.###.....#####.#..#...####.##..##.#..#..##......#..###..#..#.#.##..##.#......#######.#.#.####..#..##.#.#.##...#......#.#.#....#####.###.....#####.#..#...#
#.#..##..##...###..#.#.#....#...####..#.##...#......##.##.######...###.####.##.#..#..#######.####.#...#..###.#.##.######.#.#..#..##.#.#.###..####.#.#.####.#..##..#.#.####....##..###.#..####..##..###.###.#...###.##.####..####.##.##.#..#..####.#..####.##.####..#.###.#.#...#...##..##.#.##..#..###.###.##.##.##..#.....#..##...#...####.#...#....##....##.#...#.##.....#.#.#.##..#..####.##.####..#.###.#.#...#...##..##.#.##..#..###.###.##.##.##..#.....#..##...#...####.#...#....##....##.#...#.##.....#.#.#.##..#..####.##.####..#.###.#.#...#...##..##.#.##..#..###.###.##.##.##..#.....#..##...#...####.#...#....##....##.#...#.##.....#.#.#.##..#..####.##.####..#.###.#.#...#...##..##.#.##..#..###.###.##.##.##..#.....#..##...#...####.#...#....##....##.#...#.##.....#.#.#.##..#..####.##.####..#.###.#.#...#...##..##.#.##..#..###.###.##.##.##..#.....#..##...#...####.#...#....##....##.#...#.##.....#.#.#.##..#..####.##.####..#.###.#.#...#...##..##.#.##..#..###.###.##.##.##..#.....#..##...#...####.#...#....##..
.###..##..#.#...###.......##..#.##.....#.#####.###.#.##.#.###..###..##...#...#.#..##.##..##.#...#####.#...####.##...#.#####..#####.#.##.####.#..#.##.####.#.#...#..#..#..#....#..#.###..#.#...#..##.#####..#.#.#.#.###.#.#.##......##.####.#...#..####.####.#.##...##.....##..##.#.#####..##.#.##.#....##..##..##..##..####..#....#..#.####...##..######.#####.#..#....#.#####.....#.####.####.#.##...##.....##..##.#.#####..##.#.##.#....##..##..##..##..####..#....#..#.####...##..######.#####.#..#....#.#####.....#.####.####.#.##...##.....##..##.#.#####..##.#.##.#....##..##..##..##..####..#....#..#.####...##..######.#####.#..#....#.#####.....#.####.####.#.##...##.....##..##.#.#####..##.#.##.#....##..##..##..##..####..#....#..#.####...##..######.#####.#..#....#.#####.....#.####.####.#.##...##.....##..##.#.#####..##.#.##.#....##..##..##..##..####..#....#..#.####...##..######.#####.#..#....#.#####.....#.####.####.#.##...##.....##..##.#.#####..##.#.##.#....##..##..##..##..####..#....#..#.####...##..######.
....#.###.#.##...#.#.#...#..#.##.......#.#..#.#.####.#.#..###..#.....#...###.....#####.###.##.#.#.#..#####.#..######.....##.##.#..#.####.##..##.#.####.###.#.#.###.##.#..#.#.#....#.#####.####....#...###...###.###.#..#.....#..#.####.##......######..##..##.#..##.#####.#...#.#..####...###.#.##...####...#.#..#.####...##.#....#.#.###.#.##.#...#....#...###.....######..#######.####..##..##.#..##.#####.#...#.#..####...###.#.##...####...#.#..#.####...##.#....#.#.###.#.##.#...#....#...###.....######..#######.####..##..##.#..##.#####.#...#.#..####...###.#.##...####...#.#..#.####...##.#....#.#.###.#.##.#...#....#...###.....######..#######.####..##..##.#..##.#####.#...#.#..####...###.#.##...####...#.#..#.####...##.#....#.#.###.#.##.#...#....#...###.....######..#######.####..##..##.#..##.#####.#...#.#..####...###.#.##...####...#.#..#.####...##.#....#.#.###.#.##.#...#....#...###.....######..#######.####..##..##.#..##.#####.#...#.#..####...###.#.##...####...#.#..#.####...##.#....#.#.###.#.##.#...#....#
.....###.###...#...#.####..#...#...######.#..#########....###..#..####....##......##......#...##.....###.####.####.#.#.###...###...#.#.#..##.##.##..#.#....###.##..#.#..##.#####.#.#.#....#.#.##...#..#.##..#..##.#..###.#...#.#..#.##..##..##...#.#..#....#.###.#####.###......#.###.######.....#...####...#....##.#######..#.####...#.#...#.#..###..#.#.#.##.##.#...##....#..##.###.#..#....#.###.#####.###......#.###.######.....#...####...#....##.#######..#.####...#.#...#.#..###..#.#.#.##.##.#...##....#..##.###.#..#....#.###.#####.###......#.###.######.....#...####...#....##.#######..#.####...#.#...#.#..###..#.#.#.##.##.#...##....#..##.###.#..#....#.###.#####.###......#.###.######.....#...####...#....##.#######..#.####...#.#...#.#..###..#.#.#.##.##.#...##....#..##.###.#..#....#.###.#####.###......#.###.######.....#...####...#....##.#######..#.####...#.#...#.#..###..#.#.#.##.##.#...##....#..##.###.#..#....#.###.#####.###......#.###.######.....#...####...#....##.#######..#.####...#.#...#.#..###..#.#
...#.#..##.####.###..###..######..#.....##.#....####..###......##.....###...###.#.##.....##...#.......#.#.###..##.###.#..#.#.......###..#####...#...##.##.#.##.#..######.#..##.#...#.....##..#..#..#...#####...#....#####.#....###...###.#...##...#......###..#..###...######.....##.##..####.#...#....#..###.........##.##.####.#.#..##.##.#.##.#....#..#.#...###.#.#.####..#....#..#......###..#..###...######.....##.##..####.#...#....#..###.........##.##.####.#.#..##.##.#.##.#....#..#.#...###.#.#.####..#....#..#......###..#..###...######.....##.##..####.#...#....#..###.........##.##.####.#.#..##.##.#.##.#....#..#.#...###.#.#.####..#....#..#......###..#..###...######.....##.##..####.#...#....#..###.........##.##.####.#.#..##.##.#.##.#....#..#.#...###.#.#.####..#....#..#......###..#..###...######.....##.##..####.#...#....#..###.........##.##.####.#.##.##.##.#.##.#...##..#.#...###.#.#.####..#....#..#......###..#..###...######.....##.##..####.#...#....#..###.........##.##.####.#.#..##.##.#.##.#....#..
.....##.###.###.#...#.####..#.#..#..#..##..#..#.##.##.#.##..#..#..#.##.....##.##..#....##....#.##.#...##...#.##.#...#.#.#..###.#.#...#...#..#.####.#.##..###.#....#.#.#.#.#...#.##....#.#..#..#####.#..##..###.#.##.#....###...##..#.#...########...#.#.###.#.#.....##.#.#.###..##.#.#.#####.#.##..#..#..#..#.####..##.#.#.####....###.###.#...##.###.###.#.#.##.....#..#.##..#........#.#.###.#.#.....##.#.#.###..##.#.#.#####.#.##..#..#..#..#.####..##.#.#.####....###.###.#...##.###.###.#.#.##.....#..#.##..#........#.#.###.#.#.....##.#.#.###..##.#.#.#####.#.##..#..#..#..#.####..##.#.#.####....###.###.#...##.###.###.#.#.##.....#..#.##..#........#.#.###.#.#.....##.#.#.###..##.#.#.#####.#.##..#..#..#..#.####..##.#.#.####....###.###.#...##.###.###.#.#.##.....#..#.##..#........#.#.###.#.#.....##.#.#.###..##.#.#.#####.#.##..#..#..#..#.####..##.#.#.####....###.###.#...##.###.###.#.#.##.....#..#.##..#........#.#.###.#.#.....##.#.#.###..##.#.#.#####.#.##..#..#..#..#.####..##.#.#.####....###.###.#...##.###.###
.#.###..##..#...#.#######.#..#...#.#.#.##.##.####.##.#.#.....##.....####..#.#..##...####......#.#.#..#..######.######..##.###...###...##.##.###.#.#.....##...###.##.##...#####.##..#...##.##.###..##.##.#...#..##..#..#.##.#.##..#####..###.#.#.#.##.#.#.##.##..##.##.####.####.#..#.##.#...#.#.#.###.##.#..#.###.#...###..#.#.####..#.##.##..#..###..##..#.#...#.###.#.#.###...##.#.##.#.#.##.##..##.##.####.####.#..#.##.#...#.#.#.###.##.#..#.###.#...###..#.#.####..#.##.##..#..###..##..#.#...#.###.#.#.###...##.#.##.#.#.##.##..##.##.####.####.#..#.##.#...#.#.#.###.##.#..#.###.#...###..#.#.####..#.##.##..#..###..##..#.#...#.###.#.#.###...##.#.##.#.#.##.##.###.##.####.####.#..#.##.#...#.#.#.###.##.#..#.###.#...###..#.#.####..#.##.##..#..###..##..#.#...#.###.#.#.###...##.#.##.#.#.##.##..##.##.####.####.#..#.##.#...#.#.#.###.##.#..#.###.#...###..#.#.####..#.##.##..#..###..##..#.#...#.###.#.#.###...##.#.##.#.#.##.##..##.##.####.####.#..#.##.#...#.#.#.###.##.#..#.###.#...###..#.#.####..#.##.##..#..###..##.
..#.###..#......##.##.#.###.#..#.#####.##...##.......###.####..#..#.#.#...####..#...#.###..###......#..#..#.#..##....######.##..........###..#.#..##.#..#.##.##...###....#..#...#...#.#.##...###..#....##...##..#.#..#..#.#.###.#..#....##.#.###.###..##...###.####..#..#.####..##.#####.###..###.##.##..#.###..###.#.#.###..###......#.#.###.#...#.#..####.....#.##..####.#...########..##...###.####..#..#.####..##.#####.###..###.##.##..#.###..###.#.#.###..###......#.#.###.#...#.#..####.....#.##..####.#...########..##...###.####..#..#.####..##.#####.###..###.##.##..#.###..###.#.#.###..###......#.#.###.#...#.#..####.....#.##..####.#...########..##...###.####..#..#.####..##.#####.###..###.##.##..#.###..###.#.#.###..###......#.#.###.#...#.#..####.....#.##..####.#...########..##...###.####..#..#.####..##.#####.###..###.##.##..#.###..###.#.#.###..###......#.#.###.#...#.#..####.....#.##..####.#...########..##...###.####..#..#.####..##.#####.###..###.##.##..#.###..###.#.#.###..###......#.#.###.#...#.#..##
...#..####....#...#.###.....##.##..#.....###.####..####.#.##.##.#####........####.#.........##...##..##..#.##...#..###.##.#..###.##.....#.##.#..####..##.##..#.#.#.#..#...#.###########.#.#..###..#..#....#..##...#..####..###.#.#.#.....##..###.######.#.#.#...#.#...###.#.###.##.#...##....#.##.#..####.#..#.#...#....#....#..##....#..###......####..#####.....#.###.#.#.#...##..######.#.#.#...#.#...###.#.###.##.#...##....#.##.#..####.#..#.#...#....#....#..##....#..###......####..#####.....#.###.#.#.#...##..######.#.#.#...#.#...###.#.###.##.#...##....#.##.#..####.#..#.#...#....#....#..##....#..###......####..#####.....#.###.#.#.#...##..######.#.#.#...#.#...###.#.###.##.#...##....#.##.#..####.#..#.#...#....#....#..##....#..###......####..#####.....#.###.#.#.#...##..######.#.#.#...#.#...###.#.###.##.#...##....#.##.#..####.#..#.#...#....#....#..##....#..###......####..#####.....#.###.#.#.#...##..######.#.#.#...#.#...###.#.###.##.#...##....#.##.#..####.#..#.#...#....#....#..##....#..###......####..#
.#......#........########.#......#####.###.....#.#...###...###.##....###.###...#.#.##.####.##.##.#.#.#.....##.##.##..####.#..#.###..#.#.##..##.#...##.##..#.##...#.....##.###..#.#.######..#.#....##...###.#..#.....###.....#.##.##..#.....##.#...###.#..#.##.#..##...#.#....##.#.###..###.####.##...#.###.##.###.###.#....###....####...#.#...##..###.#..#..##....#..#.....####.##..###.#..#.##.#..##...#.#....##.#.###..###.####.##...#.###.##.###.###.#....###....####...#.#...##..###.#..#..##....#..#.....####.##..###.#..#.##.#..##...#.#....##.#.###..###.####.##...#.###.##.###.###.#....###....####...#.#...##..###.#..#..##....#..#.....####.##..###.#..#.##.#..##...#.#....##.#.###..###.####.##...#.###.##.###.###.#....###....####...#.#...##..###.#..#..##....#..#.....####.##..###.#..#.##.#..##...#.#....##.#.###..###.####.##...#.###.##.###.###.#....###....####...#.#...##..###.#..#..##....#..#.....####.##..###.#..#.##.#..##...#.#....##.#.###..###.####.##...#.###.##.###.###.#....###....####...#.#...##..###.#.
#.#.#..#######.....#.##...##.##..######.#...##..#.#...########.#.##.##.##.....###.#.....##.#...#.####.##.##.#..#.#.#.####....##.###....##..##.##....##..#.....##..#..#...###.#..#.#####.#####..#..#..#.##.#....###...##...#..#...#...#.##.#..#######.#.#.#..#.###...#..###.##..#.#....#....##...###.##.#.#..##.#.#.#.....#.#..#.##.#.###.####.#####....#.#.####.##..#......###.####.###.#.#.#..#.###...#..###.##..#.#....#....##...###.##.#.#..##.#.#.#.....#.#..#.##.#.###.####.#####....#.#.####.##..#......###.####.###.#.#.#..#.###...#..###.##..#.#....#....##...###.##.#.#..##.#.#.#.....#.#..#.##.#.###.####.#####....#.#.####.##..#......###.####.###.#.#.#..#.###...#..###.##..#.#....#....##...###.##.#.#..##.#.#.#.....#.#..#.##.#.###.####.#####....#.#.####.##..#......###.####.###.#.#.#..#.###...#..###.##..#.#....#....##...###.##.#.#..##.#.#.#.....#.#..#.##.#.###.####.#####....#.#.####.##..#......###.####.###.#.#.#..#.###...#..###.##..#.#....#....##...###.##.#.#..##.#.#.#.....#.#..#.##.#.###.####.#####....#.
##..#..#.##.....##.##.##....##.###.#....###..###.......#...###.#..#...#..##...#.#.###.#..#...##.#....#.#.#..###.#.#.###..##.##.#.##..#####.####.#.#...#......#..###.#.##...##.#..#.##.##.#......##...###.#...###.#.#.##..#####....##.....#..#####..#..##..##.###..####....#.##.#.###.#..#.#..##.#.....###....#.##.##.###..##.##.###..#....#####...#..##.#..##..####.##..#..##.#.##.#..#..##..##.###..####....#.##.#.###.#..#.#..##.#.....###....#.##.##.###..##.##.###..#....#####...#..##.#..##..####.##..#..##.#.##.#..#..##..##.###..####....#.##.#.###.#..#.#..##.#.....###....#.##.##.####.##.##.###..#....#####...#..##.#..##..####.##..#..##.#.##.#..#..##..##.###..####....#.##.#.###.#..#.#..##.#.....###....#.##.##.###..##.##.###..#....#####...#..##.#..##..####.##..#..##.#.##.#..#..##..##.###..####....#.##.#.###.#..#.#..##.#.....###....#.##.##.###..##.##.###..#....#####...#..##.#..##..####.##..#..##.#.##.#..#..##..##.###..####....#.##.#.###.#..#.#..##.#.....###....#.##.##.###..##.##.###..#....#####...#..##.#
#....##...#...#.#.####....##.#.#..##..##.#.#.####.#.##....###.##.#..#..###.........#.#.##..##....#.#.#......#.#..##..##.#.###..####.#....#.##..#.#.##.#.#.###.##.##.#.#.#.##..#..#.#.##...#.#.##..#.#..#.#...#.#..#..#.####.....##.#.##.#......#..####.#####.#.##...........##.##...###..##.##..#.#.#.#......##...#.#.##.#.##...###..#..#..#...#..###...##.#.####.#.#.#.#...##...###.####.#####.#.##...........##.##...###..##.##..#.#.#.#......##...#.#.##.#.##...###..#..#..#...#..###...##.#.####.#.#.#.#...##...###.####.#####.#.##...........##.##...###..##.##..#.#.#.#......##...#.#.##.#.##...###..#..#..#...#..###...##.#.####.#.#.#.#...##...###.####.#####.#.##...........##.##...###..##.##..#.#.#.#......##...#.#.##.#.##...###..#..#..#...#..###...##.#.####.#.#.#.#...##...###.####.#####.#.##...........##.##...###..##.##..#.#.#.#......##...#.#.##.#.##...###..#..#..#...#..###...##.#.####.#.#.#.#...##...###.####.#####.#.##...........##.##...###..##.##..#.#.#.#......##...#.#.##.#.##...###..#..#..#...#..###...#
..###..####.#....######..#.###.###.#.....#.##...#.#.#.#.#.#.........##.....#..#...........#.#..#....#####..####.#...#.##.##..#..#.#...#...#.#..###.#.#..###...###...#####.##.##.#.##....####.##.##.#.#..#.#...###.##...#...#........#.#####.#.##..##..#.#.####..#...##...#.####.#.#..##..#.#.#.#.#..##...####.####.#######.#.#..###..##..###...##.##.#..###....#.#...##.....#.#####..##..#.#.####..#...##...#.####.#.#..##..#.#.#.#.#..##...####.####.#######.#.#..###..##..###...##.##.#..###....#.#...##.....#.#####..##..#.#.####..#...##...#.####.#.#..##..#.#.#.#.#..##...####.####.#######.#.#..###..##..###...##.##.#..###....#.#...##.....#.#####..##..#.#.####..#...##...#.####.#.#..##..#.#.#.#.#..##...####.####.#######.#.#..###..##..###...##.##.#..###....#.#...##.....#.#####..##..#.#.####..#...##...#.####.#.#..##..#.#.#.#.#..##...####.####.#######.#.#..###..##..###...##.##.#..###....#.#...##.....#.#####..##..#.#.####..#...##...#.####.#.#..##..#.#.#.#.#..##...####.####.#######.#.#..###..##..###...##.##.#..#
.##.....##.#.#.####.#.###.....##..##...##.#.##.####.##.###.###..##....#.#.##.#.#..####...#....###.###..##...#.##.###.#.###..###.######.#...##..##..#....####.#........#...#....###....####...####.####.####.##..##.#.....##...###...##....#.####.#.#...#####....#####......#....#.##..###.......#.#..#.......##..#....######..##..#..#..#..#...#.....#.###......#..##..##.##.#..#.#.#.#...#####....#####......#....#.##..###.......#.#..#.......##..#....######..##..#..#..#..#...#.....#.###......#..##..##.##.#..#.#.#.#...#####....#####......#....#.##..###.......#.#..#.......##..#....######..##..#..#..#..#...#.....#.###......#..##..##.##.#..#.#.#.#...#####....#####......#....#.##..###.......#.#..#.......##..#....######..##..#..#..#..#...#.....#.###......#..##..##.##.#..#.#.#.#...#####....#####......#....#.##..###.......#.#..#.......##..#....######..##..#..#..#..#...#.....#.###......#..##..##.##.#..#.#.#.#...#####....#####......#....#.##..###.......#.#..#.......##..#....######..##..#..#..#..#...#.....#.##
...###.....#...#.#.##.#..#.####..#.#.#..###..##.##.######.##....#...#.#..#...#...##....##..##..#..#.....####..####...##.######...#.#...#..##.......#####.####..##.#######..####.#.###...#####.###.#........#..#...##.#.#...#...####.#.#.#......#..#.###.####....#.####.#.####.####.....#.#.#.....#.###.##.#..##..#..#.####..###.....#.....#..##.#.......##...####......#.#.....#.##..#.###.####....#.####.#.####.####.....#.#.#.....#.###.##.#..##..#..#.####..###.....#.....#..##.#.......##...####......#.#.....#.##..#.###.####....#.####.#.####.####.....#.#.#.....#.###.##.#..##..#..#.####..###.....#.....#..##.#.......##...####......#.#.....#.##..#.###.####....#.####.#.####.####.....#.#.#.....#.###.##.#..##..#..#.####..###.....#.....#..##.#.......##...####......#.#.....#.##..#.###.####....#.####.#.####.####.....#.#.#.....#.###.##.#..##..#..#.####..###.....#.....#..##.#.......##...####......#.#.....#.##..#.###.####....#.####.#.####.####.....#.#.#.....#.###.##.#..##..#..#.####..###.....#.....#..##.#.......#
..##.#..#.###...####.######..#..#####...#.####..#.##.####.#.....##.....###.###.....##.###..#..####..##.#.####.......#.#...#.#...#.##....######...#....####.#.#.#..#.#####.###.....#..#..###..####.#.#..#.##.##...##.#.#..#.##.##..#....#####...####.#...##.#.#.###..##..#.##..##.#####...#.#.###.##.#..#.#.#.##.#..####..##.#..#..##.#..#.###...##.#..#.#..###.....#...###.##....##.##.#...##.#.#.###..##..#.##..##.#####...#.#.###.##.#..#.#.#.##.#..####..##.#..#..##.#..#.###...##.#..#.#..###.....#...###.##....##.##.#...##.#.#.###..##..#.##..##.#####...#.#.###.##.#..#.#.#.##.#..####..##.#..#..##.#..#.###...##.#..#.#..###.....#...###.##....##.##.#...##.#.#.###..##..#.##..##.#####...#.#.###.##.#..#.#.#.##.#..####..##.#..#..##.#..#.###...##.#..#.#..###.....#...###.##....##.##.#...##.#.#.###..##..#.##..##.#####...#.#.###.##.#..#.#.#.##.#..####..##.#..#..##.#..#.###...##.#..#.#..###.....#...###.##....##.##.#...##.#.#.###..##..#.##..##.#####...#.#.###.##.#..#.#.#.##.#..####..##.#..#..##.#..#.###...##.#..#.#
.#.###.#####..#.###....#..##.#...##.###.###..##.#.####..#..##.#..##.#..#####.#.##...##...#..####.###..####....#............###.###..##.#....###.....##.#.#..##..##..#.#..#.#...###.#......#...##.##....##..##....###.#.#..#.#.#..#.##.###.##...#.#.#.#.###..####..####...#.##.###.###.###..###..#.##...#.###...#.###....##.#.#..##..#.###.##.#...##.#.....#.###...####....##.#.##.###.#.#.###..####..####...#.##.###.###.###..###..#.##...#.###...#.###....##.#.#..##..#.###.##.#...##.#.....#.###...####....##.#.##.###.#.#.###..####..####...#.##.###.###.###..###..#.##...#.###...#.###....##.#.#..##..#.###.##.#...##.#.....#.###...####....##.#.##.###.#.#.###..####..####...#.##.###.###.###..###..#.##...#.###...#.###....##.#.#..##..#.###.##.#...##.#.....#.###...####....##.#.##.###.#.#.###..####..####...#.##.###.###.###..###..#.##...#.###...#.###....##.#.#..##..#.###.##.#...##.#.....#.###...####....##.#.##.###.#.#.###..####..####...#.##.###.###.###..###..#.##...#.###...#.###....##.#.#..##..#.###.##.#...##.#....
#.##.#.##.#..#...###............#..#.#.##..########.##......####.####.#.#......##..##.##..#..#.#.###......#####.#...#.#.##....#.##...##...#..#.#.....#######....#..#.##.....##..###..#.#...#.#......#..............#.##.#..##...#....#.....##.####..##...###.#..#.##.#.#....##.#..#...#...#.###......#..##...####..####....####.####.##..##.#.....#.###...#......##..###.#..##.#..#.#..##...###.#..#.##.#.#....##.#..#...#...#.###......#..##...####..####....####.####.##..##.#.....#.###...#......##.####.#..##.#..#.#..##...###.#..#.##.#.#....##.#..#...#...#.###......#..##...####..####....####.####.##..##.#.....#.###...#......##..###.#..##.#..#.#..##...###.#..#.##.#.#....##.#..#...#...#.###......#..##...####..####....####.####.##..##.#.....#.####..#......##..###.#..##.#..#.#..##...###.#..#.##.#.#....##.#..#...#...#.###......#..##...####..####....####.####.##..##.#.....#.###...#......##..###.#..##.#..#.#..##...###.#..#.##.#.#....##.#..#...#...#.###......#..##...####..####....####.####.##..##.#.....#.###..
####.#.######.....#.##.##..##.##########..##...##..#..###.#.#####..##..######.####....##..##.#..#....#.##..####...######..##.#####.....##..###..#..##.####...####.#.#.#..##.#.#.#.##.#.###.######..#...#.#.#.##..#....#.......##..#..#.#..#.##...#.#..###.#.#..##..####.#.#...##......#.#########.##.###.###..#......#.#.####..#.#.#.#.##...#...####.##.#...###...#.#......#......###.#..###.#.#..##..####.#.#...##......#.#########.##.###.###..#......#.#.####..#.#.#.#.##...#...####.##.#...###...#.#......#......###.#..###.#.#..##..####.#.#...##......#.#########.##.###.###..#......#.#.####..#.#.#.#.##...#...####.##.#...###...#.#......#......###.#..###.#.#..##..####.#.#...##......#.#########.##.###.###..#......#.#.####..#.#.#.#.##...#...####.##.#...###...#.#......#......###.#..###.#.#..##..####.#.#...##......#.#########.##.###.###..#......#.#.####..#.#.#.#.##...#...####.##.#...###...#.#......#......###.#..###.#.#..##..####.#.#...##......#.#########.##.###.###..#......#.#.####..#.#.#.#.##...#...####.##.#
####....##..#..##.####.#.#.##..#....#####.####...#..#.....##.####......#####.#.#..#...##.#.#..##..#####.####.##...#####..##..#....#.###.#..##....#.#..#.###..#....##.##....##.##...###.#..##..#....###...##.#.#.#......##.#..#.#.###..#.########.##.##..##.#######..#.##..#..###....#.##.##.#.#.#.#....######.##..##..#....####.####.#..#.##.#..#.##..#..##...##.#.#....####.##..##.##.##..##.#######..#.##..#..###....#.##.##.#.#.#.#....######.##..##..#....####.####.#..#.##.#..#.##..#..##...##.#.#....####.##..##.##.##..##.#######..#.##..#..###....#.##.##.#.#.#.#....######.##..##..#....####.####.#..#.##.#..#.##..#..##...##.#.#....####.##..##.##.##..##.#######..#.##..#..###....#.##.##.#.#.#.#....######.##..##..#....####.####.#..#.##.#..#.##..#..##...##.#.#....####.##..##.##.##..##.#######..#.##..#..###....#.##.##.#.#.#.#....######.##..##..#....####.####.#..#.##.#..#.##..#..##...##.#.#....####.##..##.##.##..##.#######..####..#..###....#.##.##.#.#.#.#....######.##..##..#....####.####.#..#.##.#..#.##..#..
.#...##.##.####..###...###...##.#..##..#.#..###.#..##..#....###.#..###.#.#.#.##..###.#.....#####.###..#......#...####.###..##..##.....###.....##....####.#....##.##.#.#.#.##.#.######.######.#.....#####..###...#.#..##..####.....#.###.......#...###....#.###.#...#.##......##.........#.###..#...##..###...#.###.###..#...##...#####.#...#####.#..##.##...#..#.#...##.#.#####......###....#.###.#...#.##......##.........#.###..#...##..###...#.###.###..#...##...#####.#...#####.#..##.##...#..#.#...##.#.#####......###....#.###.#...#.##......##.........#.###..#...##..###...#.###.###..#...##...#####.#...#####.#..##.##...#..#.#...##.#.#####......###....#.###.#...#.##......##.........#.###..#...##..###...#.###.###..#...##...#####.#...#####.#..##.##...#..#.#...##.#.#####......###....#.###.#...#.##......##.........#.###..#...##..###...#.###.###..#...##...#####.#...#####.#..##.##...#..#.#...##.#.#####......###....#.###.#...#.##......##.........#.###..#...##..###...#.###.###..#...##...#####.#...#####.#..##.##
##....##.#..#..######.....##.#.####.#.#...##..#.#....#.#####..####.#...#.#####..##.#..#....##.###.##...#..##..##...#......##..###..####.#.##.##...#######....##.###.##.#...###..#..#.##.####.###.#..#.##...######...##.#...#..##.#####....##.#.#.#.....#......###..##...#####..#####...########.##.#.##..#..#..#.#.####......#..###.......#.....#....##.####.###..#.##.#......#####.#.....#......###..##...#####..#####...########.##.#.##..#..#..#.#.####......#..###.......#.....#....##.####.###..#.##.#......#####.#.....#......###..##...#####..#####...########.##.#.##..#..#..#.#.####......#..###.......#.....#....##.####.###..#.##.#......#####.#.....#......###..##...#####..#####...########.##.#.##..#..#..#.#.####......#..###.......#.....#....##.####.###..#.##.#......#####.#.....#......###..##...#####..#####...########.##.#.##..#..#..#.#.####......#..###.......#.....#....##.####.###..#.##.#......#####.#.....#......###..##...#####..#####...########.##.#.##..#..#..#.#.####......#..###.......#.....#....##.#
###..##....#.####.#..#.#.#######..#..#...#..######.#.#.#..###.#.#.###..##.##......###.##.#.....#..##...####.#..###.#..###.....#...#####.#.#####.#.#.##.######..##..######..#.#####.#.####......####....#.###..#.#.....#####...#..##.#.####.##.####.......#........###..##....#.##........#.##...#.##.#.###...##...#...#.#.##..###.#...##..#.####.#..###..#.......##..######..#.###..#.......#........###..##....#.##........#.##...#.##.#.###...##...#...#.#.##..###.#...##..#.####.#..###..#.......##..######..#.###..#.......#........###..##....#.##........#.##...#.##.#.###...##...#...#.#.##..###.#...##..#.####.#..###..#.......##..######..#.###..#.......#........###..##....#.##........#.##...#.##.#.###...##...#...#.#.##..###.#...##..#.####.#..###..#.......##..######..#.###..#.......#........###..##....#.##........#.##...#.##.#.###...##...#...#.#.##..###.#...##..#.####.#..###..#.......##..######..#.###..#.......#........###..##....#.##........#.##...#.##.#.###...##...#...#.#.##..###.#...##..#.####.#..###..
....#..##############...###....#..#.#.....#...##.#..#...#.#..##....##.....##...#.#..###..#.#.##.####...#..#.######..####.##..#..#.#####...##.###...##.##.#....#.#.....#.##.###..##.###.##..#...#####..#...####....##...#.##.#..##.#..##.##...##.##.#..#########.##.##....##...#.#...#.##.##.##...#...##..#....###.##.####.#.#.#..#.#..#....#...##...#......#....#...##.###.#.###..###.#..#########.##.##....##...#.#...#.##.##.##...#...##..#....###.##.####.#.#.#..#.#..#....#...##...#......#....#...##.###.#.###..###.#..#########.##.##....##...#.#...#.##.##.##...#...##..#....###.##.####.#.#.#..#.#..#....#...##...#......#....#...##.###.#.###..###.#..#########.##.##....##...#.#...#.##.##.##...#...##..#....###.##.####.#.#.#..#.#..#....#...##...#......#....#...##.###.#.###..###.#..#########.##.##....##...#.#...#.##.##.##...#...##..#....###.##.####.#.#.#..#.#..#....#...##...#......#....#...##.###.#.###..###.#..#########.##.##....##...#.#...#.##.##.##...#...##..#....###.##.####.#.#.#..#.#..#....#...##...#....
#######.#..#.##..###.#..#.........##..######.#..#........###.#####...#.#.#...#.....#..###.#...#.####.#.######.##.#.##..###...##..#..#.#.##.###...#.#####.####......###.##.#...###.##..#.###..##.####..###.######.###..#..##..#..#..#.##...#...#.##...#####...#..###..#..##.#..###.#...#.#####...###.##.###.#..#.##.##.###.##.##.###...##..#...#.........###..###..#.##......#...#####...#####...#..###..#..##.#..###.#...#.#####...###.##.###.#..#.##.##.###.##.##.###...##..#...#.........###..###..#.##......#...#####...#####...#..###..#..##.#..###.#...#.#####...###.##.###.#..#.##.##.###.##.##.###...##..#...#.........###..###..#.##......#...#####...#####...#..###..#..##.#..###.#...#.#####...###.##.###.#..#.##.##.###.##.##.###...##..#...#.........###..###..#.##......#...#####...#####...#..###..#..##.#..###.#...#.#####...###.##.###.#..#.##.##.###.##.##.###...##..#...#.........###..###..#.##......#...#####...#####...#..###..#..##.#..###.#...#.#####...###.##.###.#..#.##.##.###.##.##.###...##..#...#.........#
#######.##.##.####.#...#....#..##.#..##..#####..##.###..#..###..##.#.#.#.##..#..#.##.##...#..#.#...#..#....#.....##....##..##..###.##....#.##.#.....##..###.###..#.#..######.##...###..#.....#.###.####...#.#.#.#.###........##.###.###...####..#....###.##.#.##...#...#.###...#.#.#...#####.......##..#.##...###.##..#..######.#...#..##...#......##...#...###..#.#.##.##...##..#.#....###.##.#.##...#...#.###...#.#.#...#####.......##..#.##...###.##..#..######.#...#..##...#......##...#...###..#.#.##.##...##..#.#....###.##.#.##...#...#.###...#.#.#...#####.......##..#.##...###.##..#..######.#...#..##...#......##...#...###..#.#.##.##...##..#.#....###.##.#.##...#...#.###...#.#.#...#####.......##..#.##...###.##..#..######.#...#..##...#......##...#...###..#.#.##.##...##..#.#....###.##.#.##...#...#.###...#.#.#...#####.......##..#.##...###.##..#..######.#...#..##...#......##...#...###..#.#.##.##...##..#.#....###.##.#.##...#...#.###...#.#.#...#####.......##..#.##...###.##..#..######.#...#..##...#......##...#
#...#...##...########.####....#.#.####.##.##.#...#...#...#...#...##.....#....###.#.#.##..###.###.#....#..#.#.#.#.##...#..##.#..#...#.#..#####..##....##......#.#..#....#.##..#####....##..###.#..###..##..#.###.###..#..##..#.#..##..##...#..###.#..####...#.##...##..#.##.#.##..#...####.#.####.###..###.#####.##.##.#.##.####..#..##.##.#.######.#.#.#.###.....###...#####..####.##..####...####...##..#.##.#.##..#...####.#.####.###..###.#####.##.##.#.##.####..#..##.##.#.######.#.#.#.###.....###...#####..####.##..####...#.##...##..#.##.#.##..#...####.#.####.###..###.#####.##.##.#.##.####..#..##.##.#.######.#.#.#.###.....###...#####..####.##..####...#.##...##..#.##.#.##..#...####.#.####.###..###.#####.##.##.#.##.####..#..##.##.#.######.#.#.#.###.....###...#####..####.##..####...#.##...##..#.##.#.##..#...####.#.####.###..###.#####.##.##.#.##.####..#..##.##.#.########.#.#.###.....###...#####..####.##..####...#.##...##..#.##.#.##..#...####.#.####.###..###.#####.##.##.#.##.####..#..##.##.#.######.#.#.#.
#..#...###.#....#..##...##..###.#.#..#.#...##.###..###.###.#.#..####....#...##.#..##.#####.##..#...##.#...#..#...#...##..#.##..#..#.#..#....#.##..##.#....##..########.#..#.#..###.#......#..###.#.#...#...#.####...###..##...######.##...####.#..#...#..##......##..#####.#.##.###..#.#.##.#......#....##.#.#...###########......#####..##..###.#.#......#.##.#...###..##.##........#...#..##......##..#####.#.##.###..#.#.##.#......#....##.#.#...###########......#####..##..###.#.#......#.##.#...###..##.##........#...#..##......##..#####.#.##.###..#.#.##.#.....##....##.#.#...###########......#####..##..###.#.#......#.##.#...###..##.##........#...#..##......##..#####.#.##.###..#.#.##.#......#....##.#.#...###########......#####..##..###.#.#......#.##.#...###..##.##........#...##.##......##..#####.#.##.###..#.#.##.#......#....##.#.#...###########......#####..##..###.#.#......#.##.#...###..##.##........#...#..##......##..#####.#.##.###..#.#.##.#......#....##.#.#...###########......#####..##..###.#.#.....
#.###.#..#.#.####.#...#.#########.#...#.###.#.####..####.....###.##.###.#.##..#.##..#.##..##..#.###.#..#..##.##...#####..######.##.###.####....#.#..#####.#...#.#..#.#..##...##..#.##.#.#.##.#..##..#.#.#.#..##....##.##.#....##..#.###.##...#.######...####.#..##.#.#####.#.#####..#.####.#######....##.######.##...##.#.##..#.#.#####..##...##..##..#..##.##..#...###.##..##..###.####...####.#..##.#.#####.#.#####..#.####.#######....##.######.##...##.#.##..#.#.#####..##...##..##..#..##.##..#...###.##..##..###.####...####.#..##.#.#####.#.#####..#.####.#######....##.######.##...##.#.##..#.#.#####..##...##..##..#..##.##..#...###.##..##..###.####...####.#..##.#.#####.#.#####..#.####.#######....##.######.##...##.#.##..#.#.#####..##...##..##..#..##.##..#...###.##..##..###.####...####.#..##.#.#####.#.#####..#.####.#######....##.######.##...##.#.##..#.#.#####..##...##..##..#..##.##..#...###.##..##..###.####...####.#..##.#.#####.#.#####..#.####.#######....##.######.##...##.#.##..#.#.#####..##...##..##..#..
.####.##.#..#.....#..##..##....###.#.###.##.##.####.##...#..###.#.##.#.#####...#....#..#.#.#..##.##.#...##..##..#......#.######.#..#.#####.######.#######.###...###..###....#..######..##...###.######..#.###.#......######.#....#.##....#..#.#..####.##..#.#...#...#..#......#.#..#..###...##.##...###.#.####.##.##...#.#..##..#####.#.....###.##...##.....##..##.###.###...####.######.##..#.#...#...#..#......#.#..#..###...##.##...###.#.####.##.##...#.#..##..#####.#.....###.##...##.....##..##.###.###...####.######.##..#.#...#...#..#......#.#..#..###...##.##...###.#.####.##.##...#.#..##..#####.#.....###.##...##.....##..##.###.###...####.######.##..#.#...#...#..#......#.#..#..###...##.##...###.#.####.##.##...#.#..##..#####.#.....###.##...##.....##..##.###.###...####.######.##..#.#...#...#..#......#.#..#..###...##.##...###.#.####.##.##...#.#..##..#####.#.....###.##...##.....##..##.###.###...####.######.##..#.#...#...#..#......#.#..#..###...##.##...###.#.####.##.##...#.#..##..#####.#.....###.##...##..
.##..##..#..#..#..#####..######.#...###.#....#..##.##..#.#.##.#.####...#####.##.#.#.#..##.#####.##.##..#.##..##########.##.#.###.###..##...#..#..###.##.....#.##..#..#.....#.#....#........#.####..####.....##..#.#.#....#.##.#.##.#..##.#....#...#.#..#..###.##.#.##.##...##.#####....###.......##..#...##......####.#...#....#...#####.##..###.#...####..#...#.##..#####...#..#.#..#.#..#..###.##.#.##.##...##.#####....###.......##..#...##......####.#...#....#...#####.##..###.#...####..#...#.##..#####...#..#.#..#.#..#..###.##.#.##.##...##.#####....###.......##..#...##......####.#...#....#...#####.##..###.#...####..#...#.##..#####...#..#.#..#.#..#..###.##.#.##.##...##.#####....###.......##..#...##......####.#...#....#...#####.##..###.#...####..#...#.##..#####...#..#.#..#.#..#..###.##.#.##.##...##.#####....###.......##..#...##......####.#...#....#...#####.##..###.#...####..#...#.##..#####...#..#.#..#.#..#..###.##.#.##.##...##.#####....###.......##..#...##......####.#...#....#...#####.##..###.#...####
###.####....##..##...####.....#...####.#..#...##.##...##..####..#...##########.###..#...##.#..###..#.####.#.#.#.##.#.#...##.###.##.#.......##.########.#..#..##...#..##.###.###.#..##.##....#...#...##.....#....#.....#.##...#....#.#..#..#..##.#...##...#.#.#.#..#...###...####..#.....#.##.##..####.##..#.#..##...#.#..##..##.###.#.#.##.#.#.##.####..##..#....##.#.#..#...#####.....##...#.#.#.#..#...###...####..#.....#.##.##..####.##..#.#..##...#.#..##..##.###.#.#.##.#.#.##.####..##..#....##.#.#..#...#####.....##...#.#.#.#..#...###...####..#.....#.##.##..####.##..#.#..##...#.#..##..##.###.#.#.##.#.#.##.####..##..#....##.#.#..#...#####.....##...#.#.#.#..#...###...####..#.....#.##.##..####.##..#.#..##...#.#..##..##.###.#.#.##.#.#.##.####..##..#....##.#.#..#...#####.....##...#.#.#.#..#...###...####..#....##.##.##..####.##..#.#..##...#.#..##..##.###.#.#.##.#.#.##.####..##..#....##.#.#..#...#####.....##...#.#.#.#..#...###...####..#.....#.##.##..####.##..#.#..##...#.#..##..##.###.#.#.##.#.#.##.####..#
##.....####...##.########.#.#.#..#.##...##.#.###..##..###..##.###.###.##.##..###...#.#.##.#....##.##.#.#.#..#.#...####..###..#.#.#.#####.####.#.##..###.#..###.....#.#.###.######..##...#..##.#.#..######..#....##.#.##.###..#..###..#.#...###..#.#.##..##..#.##..#..#....###..#.######.####.#.....#.##.#..#......######...#.#..##..#....##..#.###.#.#.#.#..##...#.##..#...#.....#.#.#.##..##..#.##..#..#....###..#.######.####.#.....#.##.#..#......######...#.#..##..#....##..#.###.#.#.#.#..##...#.##..#...#.....#.#.#.##..##..#.##..#..#....###..#.######.####.#.....#.##.#..#......######...#.#..##..#....##..#.###.#.#.#.#..##...#.##..#...#.....#.#.#.##..##..#.##..#..#....###..#.######.####.#.....#.##.#..#......######...#.#..##..#....##..#.###.#.#.#.#..##...#.##..#...#.....#.#.#.##..##..#.##..#..#....###..#.######.####.#.....#.##.#..#......######...#.#..##..#....##..#.###.#.#.#.#..##...#.##..#...#.....#.#.#.##..##..#.##..#..#....###..#.######.####.#.....#.##.#..#......######...#.#..##..#....##..#.###.#.#.#.
##.#..#..###..#.##.#.......#.###...##.#......#..#.#...#.##.##....######..##.....##..#.##...##.##.########...##.#....#..#..##......#.####.#.##..#########...###.#.###.#..#.#..##.##....###.#.....###..##.####.#.##.#.#.#.#######.#.#.####..#.#.####..#.#.##..#####.###.#####..#.#..#....###...###.#.###..#.#..#####..##.#.#.#.####.######.##..###.#.##.#######..#.....#...#..#..#.#.##..#.#.##..#####.###.#####..#.#..#....###...###.#.###..#.#..#####..##.#.#.#.####.######.##..###.#.##.#######..#.....#...#..#..#.#.##..#.#.##..#####.###.#####..#.#..#....###...###.#.###..#.#..#####..##.#.#.#.####.######.##..###.#.##.#######..#.....#...#..#..#.#.##..#.#.##..#####.###.#####..#.#..#....###...###.#.###..#.#..#####..##.#.#.#.####.######.##..###.#.##.#######..#.....#...#..#..#.#.##..#.#.##..#####.###.#####..#.#..#....###...###.#.###..#.#..#####..##.#.#.#.####.######.##..###.#.##.#######..#.....#...#..#..#.#.##..#.#.##..#####.###.#####..#.#..#....###...###.#.###..#.#..#####..##.#.#.#.####.######.##..###.#.##.###
#.#.#####.#.###..###.##....###.##.#.#.#####.##.#.###.##..####..#......#..####..###.###.#####.###.#.##..###.#..##.#...#.#.#.###.##...###.###.#.#..####.#.#.#.....##.#.##...##..##.####..####.#..###.##.....#####..##..###..#.#.##.#.##.#..###.#..#....#.#..#.######.#..#######.#..#.########....####..#..##..#..###.#..#...#.....##.#..##........###.......#.####.#.###.##.#.#...#..#....#.#..#.######.#..#######.#..#.########....####..#..##..#..###.#..#...#.....##.#..##........###.......#.####.#.###.##.#.#...#..#....#.#..#.######.#..#######.#..#.########....####..#..##..#..###.#..#...#.....##.#..##........###.......#.####.#.###.##.#.#...#..#....#.#..#.######.#..#######.#..#.########....####..#..##..#..###.#..#...#.....##.#..##........###.......#.####.#.###.##.#.#...#..#....#.#..#.######.#..#######.#..#.########....####..#..##..#..###.#..#...#.....##.#..##........###.......#.####.#.###.##.#.#...#..#....#.#..#.######.#..#######.#..#.########....####..#..##..#..###.#..#...#.....##.#..##........###......
..##.........#.#..#.#..############...###..###..#.#....#..####..#....#..#..##...#....####..#.#.#.#...#...#.#.##...#..####.##.#..#..###.###..#.#.#..#.##...##...###.##...##..##.#..####.##...#.##.#.#.####.#####....##..#..#..##..##.#.#.#.#.##.###.#..#.##..#.#.##..###...###.#########.#..#.#..#.......#..####.####..##......##.#.#...###.#.#..##.....#.#.##...#..#.####.#.##..#####.#..#.##..#.#.##..###...###.#########.##.#.#..#.......#..####.####..##......##.#.#...###.#.#..##.....#.#.##...#..#.####.#.##..#####.#..#.##..#.#.##..###...###.#########.#..#.#..#.......#..####.####..##......##.#.#...###.#.#..##.....#.#.##...#..#.####.#.##..#####.#..#.##..#.#.##..###...###.#########.#..#.#..#.......#..####.####..##......##.#.#...###.#.#..##.....#.#.##...#..#.####.#.##..#####.#..#.##..#.#.##..###...###.#########.#..#.#..#.......#..####.####..##......##.#.#...###.#.#..##.....#.#.##...#..#.####.#.##..#####.#..#.##..#.#.##..###...###.#########.#..#.#..#.......#..####.####..##......##.#.#...###.#.#..##.....#.
##.###.##.#...##.######..#.####.##.#.#.###..#.#.#..#.###..#..#.####.##...##...##...##.#...##.######.##..####.####.....###.......##.##.....#.#....###..##.#.##..#..##..########.##.###.###.#...###..#.###.######.###....#...##.#..#.#.#######...#.########..###.######.#..#....#..#.########...###....##.####.#..##.#...#.###...#..##..###..#.#.###.#.#..##.##...#...#..#.##...##...#########..###.######.#..#....#..#.########...###....##.####.#..##.#...#.###...#..##..###..#.#.###.#.#..##.##...#...#..#.##...##...#########..###.######.#..#....#..#.########...###....##.####.#..##.#...#.###...#..##..###..#.#.###.#.#..##.##...#...#..#.##...##...#########..###.######.#..#....#..#.########...###....##.####.#..##.#...#.###...#..##..###..#.#.###.#.#..##.##...#...#..#.##...##...#########..###.######.#..#....#..#.########...###....##.####.#..##.#...#.###...#..##..###..#.#.###.#.#..##.##...#...#..#.##...##...#########..###.######.#..#....#..#.########...###....##.####.#..##.#...#.###...#..##..###..#.#.###.#.#..#
...##.#...###.####....#.####.###.#....###.##.....####.##.....##..###.#..#.#..#...#.#....#..#.###..#.....#.##.###.####..###.#..###.##.....##....##....#.#...##.#.####.#####......##.###...###.###.####..###..#####..#.#.#..##.#######.####.###..#.#.##.#.#...##..##..#.#.###..###.##.#..###.#..##..#.#.#.#..#..##..#.###....#..#..#.###.###....##.#.#..#..#.########.###..##..#.##.#.#.##.#.#...##..##..#.#.###..###.##.#..###.#..##..#.#.#.#..#..##..#.###....#..#..#.###.###....##.#.#..#..#.########.###..##..#.##.#.#.##.#.#...##..##..#.#.###..###.##.#..###.#..##..#.#.#.#..#..##..#.###....#..#..#.###.###....##.#.#..#..#.########.###..##..#.##.#.#.##.#.#...##..##..#.#.###..###.##.#..###.#..##..#.#.#.#..#..##..#.###....#..#..#.###.###....##.#.#..#..#.########.###..##..#.##.#.#.##.#.#...##..##..#.#.###..###.##.#..###.#..##..#.#.#.#..#..##..#.###....#..#..#.###.###....##.#.#..#..#.########.###..##..#.##.#.#.##.#.#...##..##..#.#.###..###.##.#..###.#..##..#.#.#.#..#..##..#.###....#..#..#.###.###....##.#.#..#..
##...#..#.#..##.###.###..#######.######....###..#.##..##....##.###..#.#..###.##..#..##.##...#.#.....###....##.....#..#..#.#.#..#####.#####.###.#..#..#...#..##.#.#..#.##..##.#...##..##..####.##.........#..##..#####...#####.#...###.......#...#....#.#..#####...#..#.####.#.##...#####.#...#.....##.#.#...##.##.#.####.###.#.#...##.#.#.#...#.#..#...###..##.#.#..#.#.##...##.#.#.....#.#..#####...#..#.####.#.##...#####.#...#.....##.#.#...##.##.#.####.###.#.#...##.#.#.#...#.#..#...###..##.#.#..#.#.##...##.#.#.....#.#..#####...#..#.####.#.##...#####.#...#.....##.#.#...##.##.#.####.###.#.#...##.#.#.#...#.#..#...###..##.#.#..#.#.##...##.#.#.....#.#..#####...#..#.####.#.##...#####.#...#.....##.#.#...##.##.#.####.###.#.#...##.#.#.#...#.#..#...###..##.#.#..#.#.##...##.#.#.....#.#..#####...#..#.####.#.##...#####.#...#.....##.#.#...##.##.#.####.###.#.#...##.#.#.#...#.#..#...###..##.#.#..#.#.##...##.#.#.....#.#..#####...#..#.####.#.##...#####.#...#.....##.#.#...##.##.#.####.###.#.#...##.#.#.#...#.#..#...##
#.#...##.##.#..##.#.....####..####..#.#....#.#.#.....##....####.#.#..###..##..#..########.###.#######.##.##.#..#..##.....##...#.#.#.##....#.##.#...####.##..###..#.....#....#.#.#.#..#...#..#.##..#..#..##..##....#...##..#..#...##.#..##..##.#..##....##.#...###..#...##...##.#.#...######..##...########.##.#.#.##.###..####.#...##.####.#..#....###....#..#..##.#######.###.#..####....##.#...###..#...##...##.#.#...######..##...########.##.#.#.##.###..####.#...##.####.#..#....###....#..#..##.#######.###.#..####....##.#...###..#...##...##.#.#...######..##...########.##.#.#.##.###..####.#...##.####.#..#....###....#..#..##.#######.###.#..####....##.#...###..#...##...##.#.#...######..##...########.##.#.#.##.###..####.#...##.####.#..#....###....#..#..##.#######.###.#..####....##.#...###..#...##...##.#.#...######..##...########.##.#.#.##.###..####.#...##.####.#..#....###....#..#..##.#######.###.#..####....##.#...###..#...##...##.#.#...######..##...########.##.#.#.##.###..####.#...##.####.#..#....###...
#..#.##..#..##.###..#.####.###.#.#.##.##..#.#####.#.#.#.#.#.##.###..##..##.##.#####.......##.##.##.##.#.##.##.#...######..###..##..#..###..#.##.###.#..#######.###...#.#.#.#....#..####..#...####..######..#..##...##..#####..##.##.##..#..#.##.###.#...###.###.#.##..###.###..#.#.##.#..##.#.##.##..##...####.....#..###.##.....##...#..#.####...#..###..#..###.##..#.#.###.##.....##.#...###.###.#.##..###.###..#.#.##.#..##.#.##.##..##...####.....#..###.##.....##...#..#.####...#..###..#..###.##..#.#.###.##.....##.#...###.###.#.##..###.###..#.#.##.#..##.#.##.##..##...####.....#..###.##.....##...#..#.####...#..###..#..###.##..#.#.###.##.....##.#...###.###.#.##..###.###..#.#.##.#..##.#.##.##..##...####.....#..###.##.....##...#..#.####...#..###..#..###.##..#.#.###.##.....##.#...###.###.#.##..###.###..#.#.##.#..##.#.##.##..##...####.....#..###.##.....##...#..#.####...#..###..#..###.##..#.#.###.##.....##.#...###.###.#.##..###.###..#.#.##.#..##.#.##.##..##.#.####.....#..###.##.....##...#..#.####...#..###.
.###..#..#.#....###..##..###..##....##..#...##.......#...#.##.##...#.#..####.######.###..##..#.#..#..##.....##..#.####.#..#..#..###.#.##.##......#.####.####....#.#####..#####.##.#..#..#.#..#..#.###...#...#####.###.#.##.####.#.#.##.#.#...##.##...#...###.......##.##...###.#..#..##.#.....###..##.#..###..####..##.#.##..#..#######.#.#..####...#...#.#...#.##..##.#..######.#.##...#...###.......##.##...###.#..#..##.#.....###..##.#..###..####..##.#.##..#..#######.#.#..####...#...#.#...#.##..##.#..######.#.##...#...###.......##.##...###.#..#..##.#.....###..##.#..###..####..##.#.##..#..#######.#.#..####...#...#.#...#.##..##.#..######.#.##...#...###.......##.##...###.#..#..##.#.....###..##.#..###..####..##.#.##..#..#######.#.#..####...#...#.#...#.##..##.#..######.#.##...#...###.......##.##...###.#..#..##.#.....###..##.#..###..####..##.#.##..#..#######.#.#..####...#...#.#...#.##..##.#..######.#.##...#...###.......##.##...###.#..#..##.#.....###..##.#..###..####..##.#.##..#..#######.#.#..####...#...#
....##.##.#...#####.####..####..#..#....###..######..#..####..#.##.####..#..##.#.###....#.#...#..##...#.....###.#.#.###.#...####...#..#.#..#.#.#.#..#.####...########...####..####.#..#..##..#..##..##.#...#.#...#.#...#......#.####..#####.#.######..#...##..#....#.###.#...#.#..#.....#..##..####.#..####........###..#...####.##....#####.#####.#.##...##.###.#..##.##......#.#.####..#...##..#....#.###.#...#.#..#.....#..##..####.#..####........###..#...####.##....#####.#####.#.##...##.###.#..##.##......#.#.####..#...##..#....#.###.#...#.#..#.....#..##..####.#..####........###..#...####.##....#####.#####.#.##...##.###.#..##.##......#.#.####..#...##..#....#.###.#...#.#..#.....#..##..####.#..####........###..#...####.##....#####.#####.#.##...##.###.#..##.##......#.#.####..#...##..#....#.###.#...#.#..#.....#..##..####.#..####........###..#...####.##....#####.#####.#.##...##.###.#..##.##......#.#.####..#...##..#....#.###.#...#.#..#.....#..##..####.#..####........###..#...####.##....#####.#####.#.##..
.##.##....#..#...##.#####.#...#####.##.....######.....#.##..#.#.###..##..#..#..#.......###.#######.###.######....#...#...##..##.##.#.#...#...#..#.#..##.......#######.#...###..#...########....##.##....###.##..#.#...#...##.##.###..###.#.#####..#.##.##..###.#.######.#.#.#.#...##.#..#####..##...#....##.####...#..#.##..####.##..#...##.##.###.##.##.#..##..#.##.##.#.##..####.#.#.##.##..###.#.######.#.#.#.#...##.#..#####..##...#....##.####...#..#.##..####.##..#...##.##.###.##.##.#..##..#.##.##.#.##..####.#.#.##.##..###.#.######.#.#.#.#...##.#..#####..##...#....##.####...#..#.##..####.##..#...##.##.###.##.##.#..##..#.##.##.#.##..####.#.#.##.##..###.#.######.#.#.#.#...##.#..#####..##...#....##.####...#..#.##..####.##..#...##.##.###.##.##.#..##..#.##.##.#.##..####.#.#.##.##..###.#.######.#.#.#.#...##.#..#####..##...#....##.####...#..#.##..####.##..#...##.##.###.##.##.#..##..#.##.##.#.##..####.#.#.##.##..###.#.######.#.#.#.#...##.#..#####..##...#....##.####...#..#.##..####.##..#...##.##.###.##.##.
#...#....##.#..##..##....#...#.#....#.###..##.#.#.###..#..##.##..#.###.##...#..#.##.##...##.#.##.###.#.#...#.#.####...#.##.#.#..#####...####.##.###.##..####..####..##.####..##......##..##...####.##.####...##.##..#.######..#.##..#....#.....#.....##....#.#....##.#..##.###.##...#.##...#####..####....#.###.####.#.##...#...###...#....##..#####.#....##.##..#.###.....#..#.###.....##....#.#....##.#..##.###.##...#.##...#####..####....#.###.####.#.##...#...###...#....##..#####.#....##.##..#.###.....#..#.###.....##....#.#....##.#..##.###.##...#.##...#####..####....#.###.####.#.##...#...###...#....##..#####.#....##.##..#.###.....#..#.###.....##....#.#....##.#..##.###.##...#.##...#####..####....#.###.####.#.##...#...###...#....##..#####.#....##.##..#.###.....#..#.###.....##....#.#....##.#..##.###.##...#.##...#####..####....#.###.####.#.##...#...###...#....##..#####.#....##.##..#.###.....#..#.###.....##....#.#....##.#..##.###.##...#.##...#####..####....#.###.####.#.##...#...###...#....##..#####.#...
####..#.....####.#..###..###....##.#.####.###..##.....##.##.#...###..##.#...####.####..#.#..#....#.##.#.#..##..#...##.#..####.#.##...##..#..##.#.#######....###.###.#.##.#....###..#.....#.#...##.##..#.#..##.#..#..#..##..#...#.#####..##....##.##..##.###.####.#.#..##.##...####..##.########.##.#.####...####..##..#.##.##...####.####...#..###..####.#########.###.####......##.##..##.###.####.#.#..##.##...####..##.########.##.#.####...####..##..#.##.##...####.####...#..###..####.#########.###.####......##.##..##.###.####.#.#..##.##...####..##.########.##.#.####...####..##..#.##.##...####.####...#..###..####.#########.###.####......##.##..##.###.####.#.#..##.##...####..##.########.##.#.####...####..##..#.##.##...####.####...#..###..####.#########.###.####......##.##..##.###.####.#.#..##.##...####..##.########.##.#.####...####..##..#.##.##...####.####...#..###..####.#########.###.####......##.##..##.###.####.#.#..##.##...####..##.########.##.#.####...####..##..#.##.##...####.####...#..###..####.
.#.#.#.##.###.....#...#.#...####..#..#.###..#.#..##.##.#...##..#.#...##....###.#.#######.##..#.########..####....##..#.#...##.##..#.#.###...#....#.##..###.##.##.####..#.#....#.###..#.###..####.##.##.##..#####.#..###..#...###.#.#.###..###..##....####.#..#..#.####...###.#..#.###.##.#..#....#########.#.##..##.#.#.#....#..#.###..##.###.###.....##....#....#.##.##.#####.##.#.....####.#..#..#.####...###.#..#.###.##.#..#....#########.#.##..##.#.#.#....#..#.###..##.###.###.....##....#....#.##.##.#####.##.#.....####.#..#..#.####...###.#..#.###.##.#..#....#########.#.##..##.#.#.#....#..#.###..##.###.###.....##....#....#.##.##.#####.##.#.....####.#..#..#.####...###.#..#.###.##.#..#....#########.#.##..##.#.#.#....#..#.###..##.###.###.....##....#....#.##.##.#####.##.#.....####.#..#..#.####...###.#..#.###.##.#..#....#########.#.##..##.#.#.#....#..#.###..##.###.###.....##....#....#.##.##.#####.##.#.....####.#..#..#.####...###.#..#.###.##.#..#....#########.#.##..##.#.#.#....#..#.###..##.###.###.....##.
..##....#####......###.#.##.#.###.##.#.##.###.#..#.#..####.#..#....#.#..#..##...###...##....##.#...#.####.#.##.##.#.#..#.#......##...#.##.#.#..##.##.#...#..###.#.#...######.#.##.##.......##.#..#.##.#.##..#.#.######.##....##.#.#.#.#.#.#..#.###.#.#.###.....##.....##....#.#....#...###.#.....####.##....#...##.....#.#.###.....#.###.#.#....#.#..##..##...#.##..###.#.#.#.##.####.#.#.###.....##.....##....#.#....#...###.#.....####.##....#...##.....#.#.###.....#.###.#.#....#.#..##..##...#.##..###.#.#.#.##.####.#.#.###.....##.....##....#.#....#...###.#.....####.##....#...##.....#.#.###.....#.###.#.#....#.#..##..##...#.##..###.#.#.#.##.####.#.#.###.....##.....##....#.#....#...###.#.....####.##....#...##.....#.#.###.....#.###.#.#....#.#..##..##...#.##..###.#.#.#.##.####.#.#.###.....##.....##....#.#....#...###.#.....####.##....#...##.....#.#.###.....#.###.#.#....#.#..##..##...#.##..###.#.#.#.##.####.#.#.###.....##.....##....#.#....#...###.#.....####.##....#...##.....#.#.###.....#.###.#.#....#.#..##..
##....#.#.#.##.##.#..##..##..##..#.#####.#.#.#.#...##.#.#..#...###.###.#.##..##.###..###..#...#...####........#.....#.#....###..#.###..#...#.###..####.###.#####.##........#...###..##..#..###.#.#.###.####.#..##.####....####..##..######.#..#....#.#.##..#.#..#####.#.#..#....#...##..#.#.###.######.#.####....###..#.###.##.....##.#.#.##..##.##......#.#.##..##.#..##...#.....##..#.#.##..#.#..#####.#.#..#....#...##..#.#.###.######.#.####....###..#.###.##.....##.#.#.##..##.##......#.#.##..##.#..##...#.....##..#.#.##..#.#..#####.#.#..#....#...##..#.#.###.######.#.####....###..#.###.##.....##.#.#.##..##.##......#.#.##..##.#..##...#.....##..#.#.##..#.#..#####.#.#..#....#...##..#.#.###.######.#.####....###..#.###.##.....##.#.#.##..##.##......#.#.##..##.#..##...#.....##..#.#.##..#.#..#####.#.#..#....#...##..#.#.###.######.#.####....###..#.###.##.....##.#.#.##..##.##......#.#.##..##.#..##...#.....##..#.#.##..#.#..#####.#.#..#....#...##..#.#.###.######.#.####....###..#.###.##.....##.#.#.##..##.##......
##...#.#.#.##.#....####.#.#..##....#...##.......##.##.#.#..##..#...#..#..##..####.##.###.#.##..###.#.#..#.#...###.#..##.###.#..#######...#...#..#..##.....#####.#.####.##...##..####....##....#.##..#...#..#...#..#.###....#.#...####.##.#..#.###...#....#..#.#.##.####..#..###.###.##.#####...#.#.###.##.#.##.....#.#..##..##...###.###........##.###.#..#####...##.#.#.#.##.....#....#....#..#.#.##.####..#..###.###.##.#####...#.#.###.##.#.##.....#.#..##..##...###.###........##.###.#..#####...##.#.#.#.##.....#....#....#..#.#.##.####..#..###.###.##.#####...#.#.###.##.#.##.....#.#..##..##...###.###........##.###.#..#####...##.#.#.#.##.....#....#....#..#.#.##.####..#..###.###.##.#####...#.#.###.##.#.##.....#.#..##..##...###.###........##.###.#..#####...##.#.#.#.##.....#....#....#..#.#.##.####..#..###.###.##.#####...#.#.###.##.#.##.....#.#..##..##...###.###........##.###.#..#####...##.#.#.#.##.....#....#....#..#.#.##.####..#..###.###.##.#####...#.#.###.##.#.##.....#.#..##..##...###.###........##.###.#.
#..#..#.##.#...#...##.#.#.#.#.###..#....#..#..#...####.##.##...#...#.##..##.######.##..#....#.##.#.#....##.#..#.##.##......#..#.......#.#...##...#####.#.#..#.##.#.#..##...#..######.###..#.##.#...##.#.##.#...#..#....##.#.#.###.#.###.####.###..#####..#.#####...##..###.##...#..#####....#.#####.####.##.#.#.#.#####....##.###.####....####.##..#...####.....##.##.#####.######.#.#####..#.#####...##..###.##...#..#####....#.#####.####.##.#.#.#.#####....##.###.####....####.##..#...####.....##.##.#####.######.#.#####..#.#####...##..###.##...#..#####....#.#####.####.##.#.#.#.#####....##.###.####....####.##..#...####.....##.##.#####.######.#.#####..#.#####...##..###.##...#..#####....#.#####.####.##.#.#.#.#####....##.###.####....####.##..#...####.....##.##.#####.######.#.#####..#.#####...##..###.##...#..#####....#.#####.####.##.#.#.#.#####....##.###.####....####.##..#...####.....##.##.#####.######.#.#####..#.#####...##..###.##...#..#####....#.#####.####.##.#.#.#.#####....##.###.####....####.##..#...##
#.##.##...#.#.#####...#...###.#.#..#.#.##.#####.###...##.....#.##...##.#..###.#.#####..##...#.#..#.###.#.#..#...#.###.#....#.##.#.#.###...#.........##..###.###.#.#.#...####..##...#.....##..###..#...#.##.....####.##.#.##.##.#....#.###....###..#....##.#.#.##.#...#....#.#..##.#...###.###..###.#.#....##..##..##....#.#.#..#.##.#.##.#.##.#.#...#..##..##...##..##.#.#.#.#...##..#....##.#.#.##.#...#....#.#..##.#...###.###..###.#.#....##..##..##....#.#.#..#.##.#.##.#.##.#.#...#..##..##...##..##.#.#.#.#...##..#....##.#.#.##.#...#....#.#..##.#...###.###..###.#.#....##..##..##....#.#.#..#.##.#.##.#.##.#.#...#..##..##...##..##.#.#.#.#...##..#....##.#.#.##.#...#....#.#..##.#...###.###..###.#.#....##..##..##....#.#.#..#.##.#.##.#.##.#.#...#..##..##...##..##.#.#.#.#...##..#....##.#.#.##.#...#....#.#..##.#...###.###..###.#.#....##..##..##....#.#.#..#.##.#.##.#.##.#.#...#..##..##...##..##.#.#.#.#...##..#....##.#.#.##.#...#....#.#..##.#...###.###..###.#.#....##..##..##....#.#.#..#.##.#.##.#.##.#.#...#..##
####..#....#....##...##.#.#.....#..##.###....##.....###..#.#.#.#..#.#.....#####.#.#...#....#.#.##.###.#..##.#.###....##...####.....##.#..#.#.#.##.##.#.#####.#....##.##.####.###.#####.#..###.#..#..#.###.##..###.#.#######.#..#..##.##.#..#....#...##....#......####..##.##.#.#..##.##.#...#.#####.##...#......##.#####...#..#####.#.######..####..#.###.#...###..#.#.#####..#..##....##....#......####..##.##.#.#..##.##.#...#.#####.##...#......##.#####...#..#####.#.######..####..#.###.#...###..#.#.#####..#..##....##....#......####..##.##.#.#..##.##.#...#.#####.##...#......##.#####...#..#####.#.######..####..#.###.#...###..#.#.#####..#..##....##....#......####..##.##.#.#..##.##.#...#.#####.##...#......##.######..#..#####.#.######..####..#.###.#...###..#.#.#####..#..##....##....#......####..##.##.#.#..##.##.#...#.#####.##...#......##.#####...#..#####.#.######..####..#.###.#...###..#.#.#####..#..##....##....#......####..##.##.#.#..##.##.#...#.#####.##...#......##.#####...#..#####.#.######..####..#.###
######..#####.#.#.#..####.#.#..###...##.###.###.#.##........#...#..#.....#.#.##.#.##.###.###.#...####...#.#.#...##.##.#.#.##.....###....#..#####.##.#.####...#..##...##.#.###..#.#..#.#.####..#...##..#.....####..#.###..##.##..#.#...#.#..###...###.#.#.#..#.###..#.##...##..##.#...###..#..###.#.#..##..##.##..######.#..#..#.....#..#...#...#.#########...##.#.#...#..##.#..########.#.#.#..#.###..#.##...##..##.#...###..#..###.#.#..##..##.##..######.#..#..#.....#..#...#...#.#########...##.#.#...#..##.#..########.#.#.#..#.###..#.##...##..##.#...###..#..###.#.#..##..##.##..######.#..#..#.....#..#...#...#.#########...##.#.#...#..##.#..########.#.#.#..#.###..#.##...##..##.#...###..#..###.#.#..##..##.##..######.#..#..#.....#..#...#...#.#########...##.#.#...#..##.#..########.#.#.#..#.###..#.##...##..##.#...###..#..###.#.#..##..##.##..######.##.#..#.....#..#...#...#.#########...##.#.#...#..##.#..########.#.#.#..#.###..#.##...##..##.#...###..#..###.#.#..##..##.##..######.#..#..#.....#..#...#...#.########
......#.#.#..###....#.#.#.##..#.##....#.#..##.#.#.#..#..#.##.#.#...#..#....#.##....##..#...#..#####.#.##.....#..##...#####.###.###.#.....###.####......#....#.##.####.###.#..###......##.#.#..##..#.....##..##..##.###..###....###..#.##..#.#....#.....###...#.#...#######......#...#.###..##..####.###.#.#.###..##.#.#.....#..#####..#######..###.###.#...#...#.##..#..##.####.#...#.....###...#.#...#######......#...#.###..##..####.###.#.#.###..##.#.#.....#..#####..#######..###.###.#...#...#.##..#..##.####.#...#.....###...#.#...#######......#...#.###..##..####.###.#.#.###..##.#.#.....#..#####..#######..###.###.#...#...#.##..#..##.####.#...#.....###...#.#...#######......#...#.###..##..####.###.#.#.###..##.#.#.....#..#####..#######..###.###.#...#...#.##..#..##.####.#...#.....###...#.#...#######......#...#.###..##..####.###.#.#.###..##.#.#.....#..#####..#######..###.###.#...#...#.##..#..##.####.#...#.....###...#.#...#######......#...#.###..##..####.###.#.#.###..##.#.#.....#..#####..#######..###.###.#.
...#...##..##...#.....##....##.#####.#.####..#.#..#########.###..#.....##.######..####.#....##..#.#..###.#######.###.#.##......########.##..#..#.....#.###.###.####...#..####.#.#.#.#.##.#.#..#...#..#.####.##..##.###..#.#..#....###.####..#.##.###.##....##.#...#....#.#..#...#..#.####.####.##..#.#.#.#.######.#..##.###..#..#....#.#...#####.##..#..#.#..#.##.##.#.#.####.......###.##....##.#...#....#.#..#...#..#.####.####.##..#.#.#.#.######.#..##.###..#..#....#.#...#####.##..#..#.#..#.##.##.#.#.####.......###.##....##.#...#....#.#..#...#..#.####.####.##..#.#.#.#.######.#..##.###..#..#....#.#...#####.##..#..#.#..#.##.##.#.#.####.......###.##....##.#...#....#.#..#...#..#.####.####.##..#.#.#.#.######.#..##.###..#..#....#.#...#####.##..#..#.#..#.##.##.#.#.####.......###.##....##.#...#....#.#..#...#..#.####.####.##..#.#.#.#.######.#..##.###..#..#....#.#...#####.##..#..#.#..#.##.##.#.#.####.......###.##....##.#...#....#.#..#...#..#.####.####.##..#.#.#.#.######.#..##.###..#..#....#.#...#####.##..#..#
#..#..#..#######..#.####..####..####.#####.#..#.#.##..#.#####.#....#....##.#.#.#......#..##..###..#..##..###.#..##.#.....#####.#..#####..#.##.##..##..#..##.....##....#...##.....#.#.###..#..#..#.##..##.....#.#####.###..#.#.##.##.####...#.#.#...##.##.#....#.##.#.#..##.#.#.##.#....##.#####.#.....#....#.##..##.#..#....##.#.##.#......#..#...#..#.#######.#...##.##.#.#..#.#.....##.##.#....#.##.#.#..##.#.#.##.#....##.#####.#.....#....#.##..##.#..#....##.#.##.#......#..#...#..#.#######.#...##.##.#.#..#.#.....##.##.#....#.##.#.#..##.#.#.##.#....##.#####.#.....#....#.##..##.#..#....##.#.##.#......#..#...#..#.#######.#...##.##.#.#..#.#.....##.##.#....#.##.#.#..##.#.#.##.#....##.#####.#.....#....#.##..##.#..#....##.#.##.#......#..#...#..#.#######.#...##.##.#.#..#.#.....##.##.#....#.##.#.#..##.#.#.##.#....##.#####.#.....#....#.##..##.#..#....##.#.##.#......#..#...#..#.#######.#...##.##.#.#..#.#.....##.##.#....#.##.#.#..##.#.#.##.#....##.#####.#.....#....#.##..##.#..#....##.#.##.#......#..#...#..#.##
###..##....#..##.###..#####..#.##..#.#.##.#######..#..#.###.##.#.##.##.##...#..#######.###.#...##.#####..#.####...####.####.###..#.#.####....#####...#.##...##...#.#..#.#..#..#..#..##..###.#.#.#.#...#......###.####.##.#.#...#.#...#.#.##..#.#.#.#.#.###...#####....##......#...#####..##.#....#.###..##.#.#.####.#..##.##.##..##..###.#.##.....##.#.####.##.##.#..#.#.#.#..##.##.#.#.#.###...#####....##......#...#####..##.#....#.###..##.#.#.####.#..##.##.##..##..###.#.##.....##.#.####.##.##.#..#.#.#.#..##.##.#.#.#.###...#####....##......#...#####..##.#....#.###..##.#.#.####.#..##.##.##..##..###.#.##.....##.#.####.##.##.#..#.#.#.#..##.##.#.#.#.###...#####....##......#...#####..##.#....#.###..##.#.#.####.#..##.##.##..##..###.#.##.....##.#.####.##.##.#..#.#.#.#..##.##.#.#.#.###...#####....##......#...#####..##.#....#.###..##.#.#.####.#..##.##.##..##..###.#.##.....##.#.####.##.##.#..#.#.#.#..##.##.#.#.#.###...#####....##......#...#####..##.#....#.###..##.#.#.####.#..##.##.##..##..###.#.##.....##.#.##
##.#..#.####...#.#.#..#..#...##.###.#..#.#..###...####.#....#.#.###...###....#..#..#..#....###..#####..##.###.##.#.##...##.#...####...#..#........#...#.##.###.#.###...#..##.#####.#...#.#.....#...#........#.####.####..##....#..####...##.#.....##..#..#...##.....####....#.#.###..#.#..##...##.#.###########....#.#...#..###..#...#...####.#...####.##..###......##..###..#.#..#..##..#..#...##.....####....#.#.###..#.#..##...##.#.###########....#.#...#..###..#...#...####.#...####.##..###......##..###..#.#..#..##..#..#...##.....####....#.#.###..#.#..##...##.#.###########....#.#...#..###..#...#...####.#...####.##..###......##..###..#.#..#..##..#..#...##.....####....#.#.###..#.#..##...##.#.###########....#.#...#..###..#...#...####.#...####.##..###......##..###..#.#..#..##..#..#...##.....####....#.#.###..#.#..##...##.#.###########....#.#...#..###..#...#...####.#...####.##..###......##..###..#.#..#..##..#..#...##.....####....#.#.###..#.#..##...##.#.###########....#.#...#..###..#...#...####.#...####.##
#.##.##.#.##.#.#...#......#..##.###.###.#......#.#.#...###.#....#..#..#.###..###..#.##...#....#.#.####..#.#.#.#..#...##.#.####....#........#####.####.####.#.#.#...##...####....##...##.#..#..#.#.#.#.#..##...#.##.#.#..#.#...#.#...##..##..##.##..##..#####..###..##.#..#.#.######.....#...#.##..###....#....#..#....##.##.#.#..#...#...#.#.#....#..####..###..#.#.#.######...##.#...##..#####..###..##.#..#.#.######.....#...#.##..###....#....#..#....##.##.#.#..#...#...#.#.#....#..####..###..#.#.#.######...##.#...##..#####..###..##.#..#.#.######.....#...#.##..###....#....#..#....##.##.#.#..#...#...#.#.#....#..####..###..#.#.#.######...##.#...##..#####..###..##.#..#.#.######.....#...#.##..###....#....#..#....##.##.#.#..#...#...#.#.#....#..####..###..#.#.#.######...##.#...##..#####..###..##.#..#.#.######.....#...#.##..###....#....#..#....##.##.#.#..#...#...#.#.#....#..####..###..#.#.#.######...##.#...##..#####..###..##.#..#.#.######.....#...#.##..###....#....#..#....##.##.#.#..#...#...#.#.#....#..####
..###.#####.#...#..#.#...#.####.###....########..###...##..#####.#...#..##.#.###.###.#..###......###.##.#......######.#.###.#.##...##.#..###.##....###.#.#...##....##.#..#.###.###.#.#.....###.###...#.....#.##.##.#.###..#.###.####.#####..###.##.##.#.#.###.....#####.##..#...#.##.....#####..#..##....#...##..#..#....##.#.#.###..##..#.....#.###..####...#.#.##..#.##.#.#.#.#..##.##.#.#.###.....#####.##..#...#.##.....#####..#..##....#...##..#..#....##.#.#.###..##..#.....#.###..####...#.#.##..#.##.#.#.#.#..##.##.#.#.###.....#####.##..#...#.##.....#####..#..##....#...##..#..#....##.#.#.###..##..#.....#.###..####...#.#.##..#.##.#.#.#.#..##.##.#.#.###.....#####.##..#...#.##.....#####..#..##....#...##..#..#....##.#.#.###..##..#.....#.###..####...#.#.##..#.##.#.#.#.#..##.##.#.#.###.....#####.##..#...#.##.....#####..#..##....#...##..#..#....##.#.#.###..##..#.....#.###..####...#.#.##..#.##.#.#.#.#..##.##.#.#.###.....#####.##..#...#.##.....#####..#..##....#...##..#..#....##.#.#.###..##..#.....#.###..###
....###...####.##.##.##.....#.##.#.#.##.###.#####.#.##.####....##..##..##..#..####...###.#.##.#.#.#.#...##.#...##.....######.#..#..####.##.#...#.#.#.....#.#.#.#.######.##.#..##...#.###########.#..##.##.###.####....####....#....#.####.##..###.#.###....#.####.#..#####.##.##.##.###.#..#...##...###..#.#.##.#.###.######.#.#...#.#..#.###..###.##.#..##..##...##..#.#.#..#....##.#.###....#.####.#..#####.##.##.##.###.#..#...##...###..#.#.##.#.###.######.#.#...#.#..#.###..###.##.#..##..##...##..#.#.#..#....##.#.###....#.####.#..#####.##.##.##.###.#..#...##...###..#.#.##.#.###.######.#.#...#.#..#.###..###.##.#..##..##...##..#.#.#..#....##.#.###....#.####.#..#####.##.##.##.###.#..#...##...###..#.#.##.#.###.######.#.#...#.#..#.###..###.##.#..##..##...##..#.#.#..#....##.#.###....#.####.#..#####.##.##.##.###.#..#...##...###..#.#.##.#.###.######.#.#...#.#..#.###..###.##.#..##..##...##..#.#.#..#....##.#.###....#.####.#..#####.##.##.##.###.#..#...##...###..#.#.##.#.###.######.#.#...#.#..#.###..###.##.#..
..##.##.....#.#..#....#...#..##.###.####.##.######.#.###.#..#..#.....###.#..#.#.###.###..#####.##..#.#.#....#.##..###..#.###.#.#..##.....#..###..##..#..####.#..#..####.#.####..###..##.##.###.##.#.#.#...##..#.#.#..##...#....####..###...#.#####.##.#.#.#.##.##.#.#.#####.#..#.#.......####.###.#.#.#..##.#.##...##...#...##...#.#..#...####.##..########.#......####.#...##.###.##.##.#.#.#.##.##.#.#.#####.#..#.#.......####.###.#.#.#..##.#.##...##...#...##...#.#..#...####.##..########.#......####.#...##.###.##.##.#.#.#.##.##.#.#.#####.#..#.#.......####.###.#.#.#..##.#.##...##...#...##...#.#..#...####.##..########.#......####.#...##.###.##.##.#.#.#.##.##.#.#.#####.#..#.#.......####.###.#.#.#..##.#.##...##...#...##...#.#..#...####.##..########.#......####.#...##.###.##.##.#.#.#.##.##.#.#.#####.#..#.#.......####.###.#.#.#..##.#.##...##...#...##...#.#..#...####.##..########.#......####.#...##.###.##.##.#.#.#.##.##.#.#.#####.#..#.#.......####.###.#.#.#..##.#.##...##...#...##...#.#..#...####.##..######
#.#.#..#.###..#...#######.#..#.#..#####..#.#..#..###...#..##..#####.#..##.#..#..#.#.##.#..###......#....##.#..##..#.#...#.#.#..#.###.##.##....###..#....##.#.####.##....#####.#..#.#..#..#...#.#.#.#.....#.#...#..#....###.###..#.####..##.#.###.#...###...##.#..#.###.....#....#.#.##...##.#.#.###...##...##.#.#####.#...###........#...#......#.#.#####..###...#......##.##..######...###...##.#..#.###.....#....#.#.##...##.#.#.###...##...##.#.#####.#...###........#...#......#.#.#####..###...#......##.##..######...###...##.#..#.###.....#....#.#.##...##.#.#.###...##...##.#.#####.#...###........#...#......#.#.#####..###...#......##.##..######...###...##.#..#.###.....#....#.#.##...##.#.#.###...##...##.#.#####.#...###........#...#......#.#.#####..###...#......##.##..######...###...##.#..#.###.....#....#.#.##...##.#.#.###...##...##.#.#####.#...###........#...#......#.#.#####..###...#......##.##..######...###...##.#..#.###.....#....#.#.##...##.#.#.###...##...##.#.#####.#...###........#...#......#.#.#####
.##.#.....#..##...#..#.#.#.#....#.##....#.#....##...#.####....#.......#.......#.###.#...##.#.#..#..##...######.###.###..####.#.####..###.#.#####.##....#.##..#.##..###.#..#..#######.###..###.#....##.#.##.###..#.#####.....#.#....#.#.##..##....##.#..###.######.#..#...#..#.#..#...####...#...#....###....####..#.#.#.##....#######..#.#......#.###.#.##...#.###.##########..#.##.##.#..###.######.#..#...#..#.#..#...####...#...#....###....####..#.#.#.##....#######..#.#......#.###.#.##...#.###.##########..#.##.##.#..###.######.#..#...#..#.#..#...####...#...#....###....####..#.#.#.##....#######..#.#......#.###.#.##...#.###.##########..#.##.##.#..###.######.#..#...#..#.#..#...####...#...#....###....####..#.#.#.##....#######..#.#......#.###.#.##...#.###.##########..#.##.##.#..###.######.#..#...#..#.#..#...####...#...#....###....####..#.#.#.##....#######..#.#......#.###.#.##...#.###.##########..#.##.##.#..###.######.#..#...#..#.#..#...####...#...#....###....####..#.#.#.##....#######..#.#......#.###.#.#
###......#.##..#.#..#.....##.######.#..##...###..#........#.#####..#....####...#.#...#.###.....#....#..#..###.....####.###..#..#..#...######.##.###.##...##...#.######.##.###..##...#.#.#.##..#####.......###...##.#..###.....####.####...#.........#.#..#.#.#.#......#..#...######.#.##...##.#.#.#.#.##.#.#.#####.#.#..#..#..###..##..........######.#..###.#...###.##.#######.###....#.#..#.#.#.#......#..#...######.#.##...##.#.#.#.#.##.#.#.#####.#.#..#..#..###..##..........######.#..###.#...###.##.#######.###....#.#..#.#.#.#......#..#...######.#.##...##.#.#.#.#.##.#.#.#####.#.#..#..#..###..##..........######.#..###.#...###.##.#######.###....#.#..#.#.#.#......#..#...######.#.##...##.#.#.#.#.##.#.#.#####.#.#..#..#..###..##..........######.#..###.#...###.##.#######.###....#.#..#.#.#.#......#..#...######.#.##...##.#.#.#.#.##.#.#.#####.#.#..#..#..###..##..........######.#..###.#...###.##.#######.###....#.#..#.#.#.#......#..#...######.#.##...##.#.#.#.#.##.#.#.#####.#.#..#..#..###..##..........######.#..
.#.##.#.#...##....#...#..#.#.##.....#.#..####..#..#.#.#.#....##.#.#.###...######..#..#..##.###..#.#.#.#...##...#.#.#.#.#..###..##.#..#..##.####...#.########.#..##.####..#.#.....##.###...###.....##.#..#.##..#.###..#..#####.........#.#..##.##..####.#.######.####..###...#.#.#..##.#.#..####.##.#.#####.####..#..#.#.###########..#.###..###..#.##...###.#.........###.#...#.#....####.#.######.####..###...#.#.#..##.#.#..####.##.#.#####.####..#..#.#.###########..#.###..###..#.##...###.#.........###.#...#.#....####.#.######.####..###...#.#.#..##.#.#..####.##.#.#####.####..#..#.#.###########..#.###..###..#.##...###.#.........###.#...#.#....####.#.######.####..###...#.#.#..##.#.#..####.##.#.#####.####..#..#.#.###########..#.###..###..#.##...###.#.........###.#...#.#....####.#.######.####..###...#.#.#..##.#.#..####.##.#.#####.####..#..#.#.###########..#.###..###..#.##...###.#.........###.#...#.#....####.#.######.####..###...#.#.#..##.#.#..####.##.#.#####.####..#..#.#.###########..#.###..###..#.##...#
.......##.....##.#..#...#.#.....#...###..##.#..#..#..##.###..#...##.####.###.#......#####.##..#.#..###..#...#.##...#.#...#####..#.######.....#....#...#..#..##..##.##...#.########...#.#..#.##.#..#.#..#.##.#.#..##.###.##..##...#.#..##...##....###..#...#####.#....###.#.##....##..#....#.#.#.#.##..#.##.#.#.##.#####.##..#.#.#.###.###.#...#..#.##......#.####..##...#..#..#.....###..#...#####.#....###.#.##....##..#....#.#.#.#.##..#.##.#.#.##.#####.##..#.#.#.###.###.#...#..#.##......#.####..##...#..#..#.....###..#...#####.#....###.#.##....##..#....#.#.#.#.##..#.##.#.#.##.#####.##..#.#.#.###.###.#...#..#.##......#.####..##...#..#..#.....###..#...#####.#....###.#.##....##..#....#.#.#.#.##..#.##.#.#.##.#####.##..#.#.#.###.###.#...#..#.##......#.####..##...#..#..#.....###..#...#####.#....###.#.##....##..#....#.#.#.#.##..#.##.#.#.##.#####.##..#.#.#.###.###.#...#..#.##......#.####..##...#..#..#.....###..#...#####.#....###.#.##....##..#....#.#.#.#.##..#.##.#.#.##.#####.##..#.#.#.###.###.#...#..#.##....
.....#...#.###....####.#......###.#.##..###.....###.###.###.#.#####.#############..........#..###.#.##.#.###......########.######.#.##.#..#...###..#..#..#..#..#.#..######..##.######.#.###...#..#.#..#....#.#.#.####..##.#.#.##..##...#..#..###.##..#.#....##.#..#.###.##..#..######.#.....##...###.###..#...#...###....#..#..#..#...#....#.#########..###.#..#.##...#..####.##.##.##..#.#....##.#..#.###.##..#..######.#.....##...###.###..#...#...###....#..#..#..#...#....#.#########..###.#..#.##...#..####.##.##.##..#.#....##.#..#.###.##..#..######.#.....##...###.###..#...#...###....#..#..#..#...#....#.#########..###.#..#.##...#..####.##.##.##..#.#....##.#..#.###.##..#..######.#.....##...###.###..#...#...###....#..#..#..#...#....#.#########..###.#..#.##...#..####.##.##.##..#.#....##.#..#.###.##..#..######.#.....##...###.###..#...#...###....#..#..#..#...#....#.#########..###.#..#.##...#..####.##.##.##..#.#....##.#..#.###.##..#..######.#.....##...###.###..#...#...###....#..#..#..#...#....#.#########..#
.#.#.##.##.#.######.#.#....###....##..#...###.#..##..#..#..#.#..##.##...#####..#.###..#.##.#..##...#..###.#.##..###.#..#..#.#...#.####......##.#..##..#......#######.######.##.########.#.####...#...#...#......#..###.##...#####......#.#...####.#..####..#.##.#.####..#####.#..#..##..#.####..#..##.###.######.#...#.#####.##..##.##.#.#...##..#...###.#.#.....#..#.#..#...#.......#..####..#.##.#.####..#####.#..#..##..#.####..#..##.###.######.#...#.#####.##..##.##.#.#...##..#...###.#.#.....#..#.#..#...#.......#..####..#.##.#.####..#####.#..#..##..#.####..#..##.###.######.#...#.#####.##..##.##.#.#...##..#...###.#.#.....#..#.#..#...#.......#..####..#.##.#.####..#####.#..#..##..#.####..#..##.###.######.#...#.#####.##..##.##.#.#...##..#...###.#.#.....#.##.#..#...#.......#..####..#.##.#.####..#####.#..#..##..#.####..#..##.###.######.#...#.#####.##..##.##.#.#...##..#...###.#.#.....#..#.#..#...#.......#..####..#.##.#.####..#####.#..#..##..#.####..#..##.###.######.#...#.#####.##..##.##.#.#...##..#...###.
##......#.#.##...#..#.##.###.####.#.#...#...###.#....##....#..........#...#..#...##..#..#...##.#.#...#.#..##....##.#.###.#...#.........#.#...#####..###.#...#...#....#...#.##.#........#.##....#####.#.##..###...#.#.#.#..##.###...#.###...#.##...###.###.###..#..#..#....#.######...#.###..###.#..##.###.....###.###..#.#...###.#.#.##.....#.#..###.##.#.##..##.....#...#.#..##.###.###.###.###..#..#..#....#.######...#.###..###.#..##.###.....###.###..#.#...###.#.#.##.....#.#..###.##.#.##..##.....#...#.#..##.###.###.###.###..#..#..#....#.######...#.###..###.#..##.###.....###.###..#.#...###.#.#.##.....#.#..###.##.#.##..##.....#...#.#..##.###.###.###.###..#..#..#....#.######...#.###..###.#..##.###.....###.###..#.#...###.#.#.##.....#.#..###.##.#.##..##.....#...#.#..##.###.###.###.###..#..#..#....#.######...#.###..###.#..##.###.....###.###..#.#...###.#.#.##.....#.#..###.##.#.##..##.....#...#.#..##.###.###.###.###..#..#..#....#.######...#.###..###.#..##.###.....###.####.#.#...###.#.#.##.....#.#..###.##.#
###..##..#............#####..#...#.#.##.##....#.##......###.#######.######.#..#......####..#.###.#.####...#....##.#.##........#.#.....#.....#....#......##........####.#...#.#...####......#.#..##.###.####..##....###..#..##.#.#.#....##.#.#.##.....####.######..##.#..##.##.#.##.#.#.#.#..#..#...##.####.###.##.#####.##...####.#..#...#.##.##...#....##.###.##.##..#...#...#####.....####.######..##.#..##.##.#.##.#.#.#.#..#..#...##.####.###.##.#####.##...####.#..#...#.##.##...#....##.###.##.##..#...#...#####.....####.######..##.#..##.##.#.##.#.#.#.#..#..#...##.####.###.##.#####.##...####.#..#...#.##.##...#....##.###.##.##..#...#...#####.....####.######..##.#..##.##.#.##.#.#.#.#..#..#...##.####.###.##.#####.##...####.#..#...#.##.##...#....##.###.##.##..#...#...#####.....####.######..##.#..##.##.#.##.#.#.#.#..#..#...##.####.###.##.#####.##...####.#..#...#.##.##...#....##.###.##.##..#...#...#####.....####.######..##.#..##.##.#.##.#.#.#.#..#..#...##.####.###.##.#####.##...####.#..#...#.##.##...#....#
.##..####..#......#..##.#..#.#.........#.###..#..##....##.#.......##.#.##.##.....#.#.....####.#..##..#....###.#.#.####.#...###....#.#...#.##..#..#...##..###.#..##.#...#..#....##....#.#.#.##...#...#.#####.#######.#...#.###......#.##.####.#...##.#.#.#....####.##.##.#.###..##.#..#...#..#..####.##.#..###..##########.##.#......#.###....####..###.#...##..#.##.....#.#..#..##..##.#.#.#....####.##.##.#.###..##.#..#...#..#..####.##.#..###..##########.##.#......#.###....####..###.#...##..#.##.....#.#..#..##..##.#.#.#....####.##.##.#.###..##.#..#...#..#..####.##.#..###..##########.##.#......#.###....####..###.#...##..#.##.....#.#..#..##..##.#.#.#....####.##.##.#.###..##.#..#...#..#..####.##.#..###..##########.##.#......#.###....####..###.#...##..#.##.....#.#..#..##..##.#.#.#....####.##.##.#.###..##.#..#...#..#..####.##.#..###..##########.##.#......#.###....####..###.#...##..#.##.....#.#..#..##..##.#.#.#....####.##.##.#.###..##.#..#...#..#..####.##.#..###..##########.##.#......#.###....####..###.#.
##.#######....#.###.##.#.#..#.##.#....#.#.#.#.####.##.#...###.#.#..##.##.###.#....####.....#..#..######...##..##....#######..###..#.#...##.#...##.#.##.####..##.###....###..####..#..#...#.###.#.####..#.#.####.#.#..#.##..##.####.#......#..###..#...#.###.#.###..#.#.##.#..#..####..#..#.#......###.#.#####.#.....#..#.#.###.####.#.....##.#......#####.##.#.#####.##..##.....###..#...#.###.#.###..#.#.##.#..#..####..#..#.#......###.#.#####.#.....#..#.#.###.####.#.....##.#......#####.##.#.#####.##..##.....###..#...#.###.#.###..#.#.##.#..#..####..#..#.#......###.#.#####.#.....#..#.#.###.####.#.....##.#......#####.##.#.#####.##..##.....###..#...#.###.#.###..#.#.##.#..#..####..#..#.#......###.#.#####.#.....#..#.#.###.####.#.....##.#......#####.##.#.#####.##..##.....###..#...#.###.#.###..#.#.##.#..#..####..#..#.#......###.#.#####.#.....#..#.#.###.####.#.....##.#......#####.##.#.#####.##..##.....###..#...#.###.#.###..#.#.##.#..#..####..#..#.#......###.#.#####.#.....#..#.#.###.####.#.....##.#......#####
.....##..#.#....#...###...#.##.##...##....###.###.##..#.#####..#..###....###.##.#########..#.##.#...#....#.##....#.##...##...###.####.#.....#..#........#...#.#....#.#####.###.#..#.##.###.#.##.#..#.#.....#######.......#...##..###..####...#..#....#.#..####.#.###.####.........#.###.##.#...#...#.#..##...##.#....##.##...##.....###.....####.##.#####.#...#.##....#.#.#.#.#.........#.#..####.#.###.####.........#.###.##.#...#...#.#..##...##.#....##.##...##.....###.....####.#..#####.#...#.##....#.#.#.#.#.........#.#..####.#.###.####.........#.###.##.#...#...#.#..##...##.#....##.##...##.....###.....####.#..#####.#...#.##....#.#.#.#.#.........#.#..####.#.###.####.........#.###.##.#...#...#.#..##...##.#....##.##...##.....###.....####.#..#####.#...#.##....#.#.#.#.#.........#.#..####.#.###.####.........#.###.##.#...#...#.#..##...##.#....##.##...##.....###.....####.#..#####.#...#.##....#.#.#.#.#.........#.#..####.#.###.####.........#.###.##.#...#...#.#..##...##.#....##.##...##.....###.....####.#..#####
#..#......##..#..###.####..##..##..#.#...##.#####...#.#####.#.##.##.##..#.#.########...##.##.....##.##.....##.##.####.#.##..##..#..###..##.##.#.###.##.#.....##..#.#.#......##...#.###..#.....#.....#######..###..##.......#..#..##.#...#....##....########.....#......#.##....###..#..#....#...#.....###.#....#.####..#..#.##..#..##.#.##.......####.#.#.##.###.#.##.#..###.#.#####..########.....#......#.##....###..#..#....#...#.....###.#....#.####..#..#.##..#..##.#.##.......####.#.#.##.###.#.##.#..###.#.#####..########.....#......#.##....###..#..#....#...#.....###.#....#.####..#..#.##..#..##.#.##.......####.#.#.##.###.#.##.#..###.#.#####..########.....#......#.##....###..#..#....#...#.....###.#....#.####..#..#.##..#..##.#.##.......####.#.#.##.###.#.##.#..###.#.#####..########.....#......#.##....###..#..#....#...#.....###.#....#.####..#..#.##..#..##.#.##.......####.#.#.##.###.#.##.#..###.#.#####..########.....#......#.##....###..#..#....#...#.....###.#....#.####..#..#.##..#..##.#.##.......####.#.#
#.##.####.#.###..#.#...#..##.##....##.....#.###.##..#.#######.##.#..##.#...#####..##.##.##...##.......##.#....#..#.#.######..#.#....##..##.#.###.........#.##...#.#..###.#.#.###.#......##.##..#####..#.#####...#.#.###.#####.#...#.######...#.#...##...#...#......#........#...#..##...#######.##.####.#.#.#..##.#..#........##..##...##.#.#.#.#.....##...#..##..#.##.#...#.##.#.....##...#...#......#........#...#..##...#######.##.####.#.#.#..##.#..#........##..##...##.#.#.#.#.....##...#..##..#.##.#...#.##.#.....##...#...#......#........#...#..##...#######.##.####.#.#.#..##.#..#........##..##...##.#.#.#.#.....##...#..##..#.##.#...#.##.#.....##...#...#......#........#...#..##...#######.##.####.#.#.#..##.#..#........##..##...##.#.#.#.#.....##...#..##..#.##.#...#.##.#.....##...#...#......#........#...#..##...#######.##.####.#.#.#..##.#..#........##..##...##.#.#.#.#.....##...#..##..#.##.#...#.##.#.....##...#...#......#........#...#..##...#######.##.####.#.#.#..##.#..#........##..##...##.#.#.#.#.....##.
#..#..#..#...#.##.##..#...#...##.#....##.#.#.###...##..##.#######....###..##....###....###.###..####..##..##.#..######.#.###...##..#...####.#...########..#..#.###.##...#..#...###.##...#..#.#.......###..##.##..#..##..#..#...####.##.##...###..###.####.#...####...#.......###.##.....#..###...#.##.....###.###.#..#..#.#.#.###..######.##...#....#..##..#.###.#..##.#.#..##..##..###.####.#...####...#.......###.##.....#..###...#.##.....###.###.#..#..#.#.#.###..######.##...#....#..##..#.###.#..##.#.#..##..##..###.####.#...####...#.......###.##.....#..###...#.##.....###.###.#..#..#.#.#.###..######.##...#....#..##..#.###.#..##.#.#..##..##..###.####.#...####...#.......###.##.....#..###...#.##.....###.###.#..#..#.#.#.###..######.##...#....#..##..#.###.#..##.#.#..##..##..###.####.#...####...#.......###.##.....#..###...#.##.....###.###.#..#..#.#.#.###..######.##...#....#..##..#####.#..##.#.#..##..##..###.####.#...####...#.......###.##.....#..###...#.##.....###.###.#..#..#.#.#.###..######.##...#....#..##
.#.#.#..#....#.##.#..#.####.#...#..#..#.#..##..#.###.#####..#.##......#.##..#...#.#####.##.#.#.###.....#....##.###.#.#...##.#.##......#.####...##...##.##.....#.#.#......#..#....#.###....#..###.#.#.#.#.#..###...............#.##..#..#......##.#.#.#.####..#..#....#.#.#.#..#...##.#.#..#....###....#...##....##....###..##.#.#.....##..####..#..#.#....#.....##...#.##.##....#.#.#.#.#.####..#..#....#.#.#.#..#...##.#.#..#....###....#...##....##....###..##.#.#.....##..####..#..#.#....#.....##...#.##.##....#.#.#.#.#.####..#..#....#.#.#.#..#...##.#.#..#....###....#...##....##....###..##.#.#.....##..####..#..#.#....#.....##...#.##.##....#.#.#.#.#.####..#..#....#.#.#.#..#...##.#.#..#....###....#...##....##....###..##.#.#.....##..####..#..#.#....#.....##...#.##.##....#.#.#.#.#.####..#..#....#.#.#.#..#...##.#.#..#....###....#...##....##....###..##.#.#.....##..####..#..#.#....#.....##...#.##.##....#.#.#.#.#.####..#..#....#.#.#.#..#...##.#.#..#....###....#...##....##....###..##.#.#.....##..####..#..#.#...
...###..#...###....##...#.##.##.##.#..#..####...##...#...#.##.###.###.#..#.......#.##..#..#....###..#...####.##..#.###...##..#.#.#.#.......##.#.#......#.##...#.#...#.....#####..#..#.##.#.#####..#.#..##...###.#...#.#####.####.#...#..###.#.##..#...##...##...###.####...##.......#..##...........###.##..#.#.#.#.#..##.###.#..###.....#############......#.#..#.###.###.##...##...#...##...##...###.####...##.......#...#...........###.##..#.#.#.#.#..##.###.#..###.....#############......#.#..#.###.###.##...##...#...##...##...###.####...##.......#...#...........###.##..#.#.#.#.#..##.###.#..###.....#############......#.#..#.###.###.##...##...#...##...##...###.####...##.......#...#...........###.##..#.#.#.#.#..##.###.#..###.....#############......#.#..#.###.###.##...##...#...##...##...###.####...##.......#...#...........###.##..#.#.#.#.#..##.###.#..###.....#############......#.#..#.###.###.##...##...#...##...##...###.####...##.......#...#...........###.##..#.#.#.#.#..##.###.#..###.....#############...
#..#...##.##..##..##..##.###.....#.#..##.#..#..#.#.#...##..#####......##.#.#.##.###.###.##...#.#.#.##..#..#.#.....#.#..#.#..###..#.#.##.##..#..........#.#####...#....####...#.#.###.##..#.###.#.##.#..##.##.##.##...####.##..#..#.##.#..##...#..#..#.##.#.##..#####..###.....##.###.#.#..#.#.###..#....#.#...##..###.#.#..#...#.#..#####...#.####.#..#.##.#..##.####.....##....###.#..#.##.#.##..#####..###.....##.###.#.#..#.#.###..#....#.#...##..###.#.#..#...#.#..#####...#.####.#..#.##.#..##.####.....##....###.#..#.##.#.##..#####..###.....##.###.#.#..#.#.###..#....#.#...##..###.#.#..#...#.#..#####...#.####.#..#.##.#..##.####.....##....###.#..#.##.#.##..#####..###.....##.###.#.#..#.#.###..#....#.#...##..###.#.#..#...#.#..#####...#.####.#..#.##.#..##.####.....##....###.#..#.##.#.##..#####..###.....##.###.#.#..#.#.###..#....#.#...##..###.#.#..#...#.#..#####...#.####.#..#.##.#..##.####.....##....###.#..#.##.#.##..#####..###.....##.###.#.#..#.#.###..#....#.#...##..###.#.#..#...#.#..#####...#.####.#..#.#
###......#..###.###.#..#...........###...##....####..######.#.#....#..#####.....##.#.##..#.###..#.#.###.#...#..##...##..#####...#..##.#..##..##..#.###...#.######.##..#.#....###.###...#.#######.##.....#.#....###.####..#.#..#.#....#....#..#...##.##########..#......##..##.##.#.##...####.#...#########.###.#.#..#.##...##.#.#..#....#.#....####.##.##..####.....#.###.###..#.##.##.##########..#......##..##.##.#.##...####.#...#########.###.#.#..#.##...##.#.#..#....#.#....####.##.##..####.....#.###.###..#.##.##.##########..#......##..##.##.#.##...####.#...#########.###.#.#..#.##...##.#.#..#....#.#....####.##.##..####.....#.###.###..#.##.##.##########..#......##..##.##.#.##...####.#...#########.###.#.#..#.##...##.#.#..#....#.#....####.##.##..####.....#.###.###..#.##.##.##########..#......##..##.##.#.##...####.#...#########.###.#.#..#.##...##.#.#..#....#.#....####.##.##..####.....#.###.###..#.##.##.##########..#......##..##.##.#.##...####.#...#########.###.#.#..#.##...##.#.#..#....#.#....####.##.##
..#.#......##.##.#...###.#..###.#.#..##.##..#.##...##..#####.#...#.###..########....#.#.######.#.......#.#..##.#.##.####..#.......#...#.#..#.##....#.#..###....#..##...#....##.######..#.###.#######.##..#...##########.#.##.##..#..#..#...##.###...#.#.#.#####...##..##.#####..#.##.####.#......#.#..........#.#...#..#......#.#.#.#.#..#.####.####.#.#.........##.#.....#......#.....#.#.#.#####...##..##.#####..#.##.####.#......#.#..........#.#...#..#......#.#.#.#.#..#.####.####.#.#.........##.#.....#......#.....#.#.#.#####...##..##.#####..#.##.####.#......#.#..........#.#...#..#......#.#.#.#.#..#.####.####.#.#.........##.#.....#......#.....#.#.#.#####...##..##.#####..#.##.####.#......#.#..........#.#...#..#......#.#.#.#.#..#.####.####.#.#.........##.#.....#......#.....#.#.#.#####...##..##.#####..#.##.####.#......#.#..........#.#...#..#......#.#.#.#.#..#.####.####.#.#.........##.#.....#......#.....#.#.#.#####...##..##.#####..#.##.####.#......#.#..........#.#...#..#......#.#.#.#.#..#.####.####.#.#.
..######.###.#....#.###..#..#.#.##.##...#...#.#.###...##..#####....##.#....#.#....#..#.#.....##.#...##..#.#####.#####....#####..#.....###...#....#..#..##...#..####.#.#......#.###.#..##..####.#.##....#.#.##.#...#..##..#.##...#..##.##..#..#..#..######...##.#..#........#####.......#..#.##..#..#...#....#...###.#####....#.###...#..##########.......#.#...###.#...###.#.#.#...#..######...##.#..#........#####.......#..#.##..#..#...#....#...###.#####....#.###...#..##########.......#.#...###.#...###.#.#.#...#..######...##.#..#........#####.......#..#.##..#..#...#....#...###.#####....#.###...#..##########.......#.#...###.#...###.#.#.#...#..######...##.#..#........#####.......#..#.##..#..#...#....#...###.#####....#.###...#..##########.......#.#...###.#...###.#.#.#...#..######...##.#..#........#####.......#..#.##..#..#...#....#...###.#####....#.###...#..##########.......#.#...###.#...###.#.#.#...#..######...##.#..#........#####.......#..#.##..#..#...#....#...###.#####....#.###...#..##########.......
...#....###.#.....#.#######...###.##..###.#......#..##.#...#.#..##.##.###...#####.##.####.###...#.#..####.#..#.#.#...#.....#.########.#....#...#.#..########.##..#....#..####.#.#.#.###..##.#.##.###..#..##.#..#...###.##.###.###.###..#.#.#.########.#.#...##..###.#.#..#.##.#..#..........######..##....##...##.#.###..##.#.#####.##.####..#......#..########..#..#.##....##..########.#.#...##..###.#.#..#.##.#..#..........######..##....##...##.#.###..##.#.#####.##.####..#......#..########..#..#.##....##..########.#.#...##..###.#.#..#.##.#..#..........######..##....##...##.#.###..##.#.#####.##.####..#......#..########..#..#.##....##..########.#.#...##..###.#.#..#.##.#..#..........######..##....##...##.#.###..##.#.#####.##.####..#......#..########..#..#.##....##..########.#.#...##..###.#.#..#.##.#..#..........######..##....##...##.#.###..##.#.#####.##.####..#......#..########..#..#.##....##..########.#.#...##..###.#.#..#.##.#..#..........######..##....##...##.#.###..##.#.#####.##.####..#......#..##
.#.#....#.##..#...##.#..#.#..#.#.##..####.#####.#....#.##.##.###.##.#.#..#.#...###.....##.##...###.#.#...##..#..####.#....#....#...#.##...##....#.##..#.###...#...###.#..#....##..#.#...#..#..#####...#..##.#......#.###.#..#.#.#.####..#.#.#..#....#..#..#.#..##.#.#.#.##.....#....#...#..##.##..##.##..#.#....#.#####.##..#.###.#.##.#..#.#..###.#....###..##..#.#..##....##.....#...#..#..#.#..##.#.#.#.##.....#....#...#..##.##..##.##..#.#....#.#####.##..#.###.#.##.#..#.#..###.#....###..##..#.#..##....##.....#...#..#..#.#..##.#.#.#.##.....#....#...#..##.##..##.##..#.#....#.#####.##..#.###.#.##.#..#.#..###.#....###..##..#.#..##....##.....#...#..#..#.#..##.#.#.#.##.....#....#...#..##.##..##.##..#.#....#.#####.##..#.###.#.##.#..#.#..###.#....###..##..#.#..##....##.....#...#..#..#.#..##.#.#.#.##.....#....#...#..##.##..##.##..#.#....#.#####.##..#.###.#.##.#..#.#..###.#....###..##..#.#..##....##.....#...#..#..#.#..##.#.#.#.##.....#....#...#..##.##..##.##..#.#....#.#####.##..#.###.#.##.#..#.#..###.#....#
..###.###..###.#..##.##.#..#.#..##.#.#..#.....#..##.##.#..#.##..###....#.####......#......##.##.....#.##...#....###.#.#....#..###.#..#.#...#.#..#.##.##......#.###.##.#..#..####...##.#.#.###..#.#..#.####.####.##..#.####.#.#....#....#...#...#.....#.##...####.#.#..#..#.###.#.#....###.####....#..##..##..#.######.##..#.###.###.###...##..####.#..####.##.#.##.#.###.##...#####.....#.##...####.#.#..#..#.###.#.#....###.####....#..##..##..#.######.##..#.###.###.###...##..####.#..####.##.#.##.#.###.##...#####.....#.##...####.#.#..#..#.###.#.#....###.####....#..##..##..#.######.##..#.###.###.###...##..####.#..####.##.#.##.#.###.##...#####.....#.##...####.#.#..#..#.###.#.#....###.####....#..##..##..#.######.##..#.###.###.###...##..####.#..####.##.#.##.#.###.##...#####.....#.##...####.#.#..#..#.###.#.#....###.####....#..##..##..#.######.##..#.###.###.###...##..####.#..####.##.#.##.#.###.##...#####.....#.##...####.#.#..#..#.###.#.#....###.####....#..##..##..#.######.##..#.###.###.###...##..####.#..###
#...##.#.##.#.#.##..####..##.#..######...#.####..#.#..#.##.......##.##........#.##..#.###.##.....##...#..#...#.#...#...#..#.##..#....#.###..#.####...#...###.#.........####.#..#..#.##...######.#.....##...###.....###..##..#...#..#....####.#.##.##...#######.......#.#.#..#.#.##..#.#...##...######..#....#.#..#.###....#.##########.....#.#..##.##.####...###..##.#..#.#..#..#.#..##...#######.......#.#.#..#.#.##..#.#...##...######..#....#.#..#.###....#.##########.....#.#..##.##.####...###..##.#..#.#..#..#.#..##...#######.......#.#.#..#.#.##..#.#...##...######..#....#.#..#.###....#.##########.....#.#..##.##.####...###..##.#..#.#..#..#.#..##...#######.......#.#.#..#.#.##..#.#...##...######..#....#.#..#.###....#.##########.....#.#..##.##.####...###..##.#..#.#..#..#.#..##...#######.......#.#.#..#.#.##..#.#...##...######..#....#.#..#.###....#.##########.....#.#..##.##.####...###..##.#..#.#..#..#.#..##...#######.......#.#.#..#.#.##..#.#...##...######..#....#.#..#.###....#.##########.....#.#..##.##.###
##....####..##..#.#.#.#.####..#.#.#.#.##.#.#..#.##.#..#..#.#..###.#.###....#.#..#.#.#..###.###..##.#...##.#.###.###.##..####.#......#.#...#.....###...#.#..####......##.#..###...###..###.#..#####..##.#.##...####.##.##..###.###.#..##.#...###.###.####.....####..#.....###....#.###..###.####..#..##...#..#..#.##..#.#.##..###..#.###.#..#.#..######..#..##.##.#...##...#...#...####.####.....####..#.....###....#.###..###.####..#..##...#..#..#.##..#.#.##..###..#.###.#..#.#..######..#..##.##.#...##...#...#...####.####.....####..#.....###....#.###..###.####..#..##...#..#..#.##..#.#.##..###..#.###.#..#.#..######..#..##.##.#...##...#...#...####.####.....####..#.....###....#.###..###.####..#..##...#..#..#.##..#.#.##..###..#.###.#..#.#..######..#..##.##.#...##...#...#...####.####.....####..#.....###....#.###..###.####..#..##...#..#..#.##..#.#.##..###..#.###.#..#.#..######..#..##.##.#...##...#...#...####.####.....####..#.....###....#.###..###.####..#..##...#..#..#.##..#.#.##..###..#.###.#..#.#..######..#
..####..#.##..####..##.##.##.##.##..#..#.###.####.####..#.#..###..#..#.#.##.......####...##......##..###.....#.#.....#.###.#.#..###...#.....####.#.#####..#..##.##.##.##.#.##..#.##.##...##..##.#..###.#.#.#..#.#.#.....###.######.#...####..#..#..###.##...#.#.#..####..#.#..##...#...#.#..##..#.....##.#..##.##.#...####.###...##.##...##.#.#...#.#######..#.#.#.#.......###.#..##..###.##...#.#.#..####..#.#..##...#...#.#..##..#.....##.#..##.##.#...####.###...##.##...##.#.#...#.#######..#.#.#.#.......###.#..##..###.##...#.#.#..####..#.#..##...#...#.#..##..#.....##.#..##.##.#...####.###...##.##...##.#.#...#.#######..#.#.#.#.......###.#..##..###.##...#.#.#..####..#.#..##...#...#.#..##..#.....##.#..##.##.#...####.###...##.##...##.#.#...#.#######..#.#.#.#.......###.#..##..###.##...#.#.#..####..#.#..##...#...#.#..##..#.....##.#..##.##.#...####.###...##.##...##.#.#...#.#######..#.#.#.#.......###.#..##..###.##...#.#.#..####..#.#..##...#...#.#..##..#.....##.#..##.##.#...####.###...##.##...##.#.#...#.#####
..#.#..##.#.##....#..###..##..##.######.#.###...#.#.#.#..###.........####.##.#..##.####.....######..##..##.#.###.###......#####..#...###.#.########.##...##.##.#.#.#.#.....#...#...##..#..##..#.###.##...##.#..###...#..#.##....#..##....#..#...#.#.#.#.#....#...##...###....##....#.##.##......#.###.##.#..#..#..#..#.#...#..##.####.......#..###....#..####.#.#..#.##.#.#...#.##.#.#.#.#.#....#...##...###....##....#.##.##......#.###.##.#..#..#..#..#.#...#..##.####.......#..###....#..####.#.#..#.##.#.#...#.##.#.#.#.#.#....#...##...###....##....#.##.##......#.###.##.#..#..#..#..#.#...#..##.####.......#..###....#..####.#.#..#.##.#.#...#.##.#.#.#.#.#....#...##...###....##....#.##.##......#.###.##.#..#..#..#..#.#...#..##.####.......#..###....#..####.#.#..#.##.#.#...#.##.#.#.#.#.#....#...##...###....##....#.##.##......#.###.##.#..#..#..#..#.#...#..##.####.......#..###....#..####.#.#..#.##.#.#...#.##.#.#.#.#.#....#...##...###....##....#.##.##......#.###.##.#..#..#..#..#.#...#..##.####.......#..###....#..
..#####..#.##..##.....#...#...#..#.##...#.#...####.#.##..##..#.####.....####.#.#.##.#...#####...##.######.#.#..##.####.###.#..#..#.##.###.##.#.........#..#....#.#.####.####.#...#......#.#..#.##..###.##...###...##.##....#.###..##.##...##..#....###...#....#...##.#..#.#...#...#####.#..####.##.......###..###....###.#...####.#....#.#..##.#.##....##.###..#..###.##.#.#.##.#..#..###...#....#...##.#..#.#...#...#####.#..####.##.......###..###....###.#...####.#....#.#..##.#.##....##.###..#..###.##.#.#.##.#..#..###...#....#...##.#..#.#...#...#####.#.#####.##.......###..###....###.#...####.#....#.#..##.#.##....##.###..#..###.##.#.#.##.#..#..###...#....#...##.#..#.#...#...#####.#..####.##.......###..###....###.#...####.#....#.#..##.#.##....##.###..#..###.##.#.#.##.#..#..###...#....#...##.#..#.#...#...#####.#..####.##.......###..###....###.#...####.#....#.#..##.#.##....##.###..#..###.##.#.#.##.#..#..###...#....#...##.#..#.#...#...#####.#..####.##.......###..###....###.#...####.#....#.#..##.#.##....##
##.#.###.#.#..#...##.########.#.....##..#.###.##.######..###..#..#.#.########.#..##.#..######...###.#.#...##...#..#..###.#..###....#.....###..###....#..##..#...#.#.#.#.####.#####.###.##.####.......#.##.....##..###....##..##..#..#....##..#.##..#####..#..#.#####....###.....##..#....##...####.........##.#...#.##..#..####.#####....##.####...#..##.#..#.##.###..#....##..##.....#####..#..#.#####....###.....##..#....##...####.........##.#...#.##..#..####.#####....##.####...#..##.#..#.##.###..#....##..##.....#####..#..#.#####....###.....##..#....##...####.........##.#...#.##..#..####.#####....##.####...#..##.#..#.##.###..#....##..##.....#####..#..#.#####....###.....##..#....##...####.........##.#...#.##..#..####.#####....##.####...#..##.#..#.##.###..#....##..##.....#####..#..#.#####....###.....##..#....##...####.........##.#...#.##..#..####.#####....##.####...#..##.#..#.##.###..#....##..##.....#####..#..#.#####....###.....##..#....##...####.........##.#...#.##..#..####.#####....##.####...#..##.
....###..##.#.#####.##....####.#.##.###.#.#..##.#.##.##...#..#..........##.##...####.#....###...######.#.....#.###.##.##....###......#.##.#.###..#...#.######...#.####.##........#..#.#.##..#.#..###....###......#....##..##.##.#...##.##..##...###.....#....##.#........#.###.#..####..##...#..#..##.#####..##...#.#.##.##..#..##.#..##.####.##....#.##..##.#.###...#.##.##.#...#.###.....#....##.#........#.###.#..####..##...#..#..##.#####..##...#.#.##.##..#..##.#..##.####.##....#.##..##.#.###...#.##.##.#...#.###.....#....##.#........#.###.#..####..##...#..#..##.#####..##...#.#.##.##..#..##.#..##.####.##....#.##..##.#.###...#.##.##.#...#.###.....#....##.#........#.###.#..####..##...#..#..##.#####..##...#.#.##.##..#..##.#..##.####.##....#.##..##.#.###...#.##.##.#...#.###.....#....##.#........#.###.#..####..##...#..#..##.#####..##...#.#.##.##..#..##.#..##.####.##....#.##..##.#.###...#.##.##.#...#.###.....#....##.#........#.###.#..####..##...#..#..##.#####..##...#.#.##.##..#..##.#..##.####.##....#.##.
.##..#.###.####.......#...##..#.####.#..#.#..#....#####.###...#..###..#.#.###..##.#####...##.#....#..####..####..#.....#.#.#.#.##.#..###...##..#..#..#####.###..#..#.#.#....#.####..#.#..#.#....###..#..#.#.###.#..##..#...#.##....##.######....#..###.##.###.#.#..###.#.#.......##.#.###.#.##.#..#.#.#..#..###.##.....##...##...#####.####....###.#....#..####...#.#..#.#..#..#..##..###.##.###.#.#..###.#.#.......##.#.###.#.##.#..#.#.#..#..###.##.....##...##...#####.####....###.#....#..####...#.#..#.#..#..#..##..###.##.###.#.#..###.#.#.......##.#.###.#.##.#..#.#.#..#..###.##.....##...##...#####.####....###.#....#..####...#.#..#.#..#..#..##..###.##.###.#.#..###.#.#.......##.#.###.#.##.#..#.#.#..#..###.##.....##...##...#####.####....###.#....#..####...#.#..#.#..#..#..##..###.##.###.#.#..###.#.#.......##.#.###.#.##.##.#.#.#..#..###.##.....##...##...#####.####....###.#....#..####...#.#..#.#..#..#..##..###.##.###.#.#..###.#.#.......##.#.###.#.##.#..#.#.#..#..###.##.....##...##...#####.####....###.#....#
#..######....#..##..#.#...#.##..#.##..#..#.#...###.###....####....##..#.#..#.#.#...#..#....#####.##...#.####.##..#...#.....#..#..##.##.#####.#.###.####.#..#.##..#.##.##.##.#.#..#.#.###....###.....#.#..#.#.#.....#.#.###..#.###...#..###...######...#....######...#...###...####.#.#.#...#.#....#.#####..##.#.#.###.#...##.##.##.#..###.#.###.#.####..##...##.##.#..###...###.#..###...#....######...#...###...####.#.#.#...#.#....#.#####..##.#.#.###.#...##.##.##.#..###.#.###.#.####..##...##.##.#..###...###.#..###...#....######...#...###...####.#.#.#...#.#....#.#####..##.#.#.###.#...##.##.##.#..###.#.###.#.####..##...##.##.#..###...###.#..###...#....######...#...###...####.#.#.#...#.#....#.#####..##.#.#.###.#...##.##.##.#..###.#.###.#.####..##...##.##.#..###...###.#..###...#....######...#...###...####.#.#.#...#.#....#.#####..##.#.#.###.#...##.##.####..###.#.###.#.####..##...##.##.#..###...###.#..###...#....######...#...###...####.#.#.#...#.#....#######..##.#.#.###.#...##.##.##.#..###.#.###.#.####..#
.#.#.##########...#.#####.####..#..#..####...##.##....#####.##.#.#.#...###...###...#..######.#...#.#.#######..#..#....#######..#..##..#.##.#.###...#....###...#.##.######.#####.#.##.#.###..##..#.###...#.#####.#....####...##...#######..#..#....#.###.#.#...#..#..#.#...#.#####.#.....#.###..#...#.#.###.#...#.#..#..#...#.#.##..#...##...#....#.#..#.........##.....#.....#.....#.#.###.#.#...#..#..#.#...#.#####.#.....#.###..#...#.#.###.#...#.#..#..#...#.#.##..#...##...#....#.#..#.........##.....#.....#.....#.#.###.#.#...#..#..#.#...#.#####.#.....#.###..#...#.#.###.#...#.#..#..#...#.#.##..#...##...#....#.#..#.........##.....#.....#.....#.#.###.#.#...#..#..#.#...#.#####.#.....#.###..#...#.#.###.#...#.#..#..#...#.#.##..#...##...#....###..#.........##.....#.....#.....#.#.###.#.#...#..#..#.#...#.#####.#.....#.###..#...#.#.###.#...#.#..#..#...#.#.##..#...##...#....#.#..#.........##.....#.....#.....#.#.###.#.#...#..#..#.#...#.#####.#.....#.###..#...#.#.###.#...#.#..#..#...#.#.##..#...##...#....#.#..#..
..####.####..#...#.###.#############.##.####.#....#####...###.#....#...#.##...#......##..####..##.###....#.###.#..####..#...##...#..#.#####.#...######.###.#.##..#..#..#.#.#.###.#.##.#..#..###..#...##..#.####.#..##.##..##...##..###..####..#...##.#.######..###....##...#.##.##..#...#.#######..#..##.###.#.#.####..##.##.###..#.###.#.#.##.#.##.####.#..###.##.#..##.####.##.##..##.#.######..###....##...#.##.##..#...#.#######..#..##.###.#.#.####..##.##.###..#.###.#.#.##.#.##.####.#..###.##.#..##.####.##.##..##.#.######..###....##...#.##.##..#...#.#######..#..##.###.#.#.####..##.##.###..#.###.#.#.##.#.##.####.#..###.##.#..##.####.##.##..##.#.######..###....##...#.##.##..#...#.#######..#..##.###.#.#.####..##.##.###..#.###.#.#.##.#.##.####.#..###.##.#..##.####.##.##..##.#.######..###....##...#.##.##..#...#.#######..#..##.###.#.#.####..##.##.###..#.###.#.#.##.#.##.####.#..###.##.#..##.####.##.##..##.#.######..###....##...#.##.##..#...#.#######..#..##.###.#.#.####..##.##.###..#.###.#.#.##.#.##.####.
....#.###..#...##.....#####.#####.#.#####....###...#..###..##.#..#.#.###.##..#..###..##.##.#.###.#.#...#.###.##.##.###....#..#..##...#..#...#.##.......#.######..##....##..#.#...#########...#..#...###....##.##.##.##.#...#####...###..##.##..##.#..##..##.#..###......###.##...###....##.##.####.#..#.#.#.##.#.#..#.##.#..#....#..##..#.##...#.....#....#..##.###.#####.##.##.#....#..##..##.#..###......###.##...###....##.##.####.#..#.#.#.##.#.#..#.##.#..#....#..##..#.##...#.....#....#..##.###.#####.##.##.#....#..##..##.#..###......###.##...###....##.##.####.#..#.#.#.##.#.#..#.##.#..#....#..##..#.##...#.....#....#..##.###.#####.##.##.#....#..##..##.#..###......###.##...###....##.##.####.#..#.#.#.##.#.#..#.##.#..#....#..##..#.##...#.....#....#..##.###.#####.##.##.#....#..##..##.#..###......###.##...###....##.##.####.#..#.#.#.##.#.#..#.##.#..#....#..##..#.##...#.....#....#..##.###.#####.##.##.#....#..##..##.#..###......###.##...###....##.##.####.#..#.#.#.##.#.#..#.##.#..#....#..##..#.##...#.....#...
....###.#..........###...####..###.##.#...#.#......######.##......#.#.#..#.#.###.#.#.#.###..#....#........###..##.....##..##.#...####..####.#####.##.#.##.#..##..#..#####..#.###.##..##.##.###...#....#..#.#.###....##..##..####...#.##..######.#####..#..#...#.##.#.#..#.##..###.#.##..##.#..#..#..#.###.#...#.##.####..#..#.###..#.......#....###...###.##...#.#.#..#######...##.#####..#..#...#.##.#.#..#.##..###.#.##..##.#..#..#..#.###.#...#.##.####..#..#.###..#.......#....###...###.##...#.#.#..#######...##.#####..#..#...#.##.#.#..#.##..###.#.##..##.#..#..#..#.###.#...#.##.####..#..#.###..#.......#....###...###.##...#.#.#..#######...##.#####..#..#...#.##.#.#..#.##..###.#.##..##.#..#..#..#.###.#...#.##.####..#..#.###..#.......#....###...###.##...#.#.#..#######...##.#####..#..#...#.##.#.#..#.##..###.#.##..##.#..#..#..#.###.#...#.##.####..#..#.###..#.......#....###...###.##...#.#.#..#######...##.#####..#..#...#.##.#.#..#.##..###.#.##..##.#..#..#..#.###.#...#.##.####..#..#.###..#.......#....###...###
#......####....##.##..#.#.#.####..##..#.#..#..###...#.##...#...####.#####.##........##.....#......##..#.#.#.#.#.#...##.##........#....#.#####....#......##...#.##...###.##.#.#..#..#.#####...####...#.#..###..##...#######...###....#.###...###.##..#...#...#.#...#.##..###..###..##..##..####..##.##.##.####.#.#.#...#.####...###...####..###...#.##.#.#####..##.#...#.#.#.##....###..#...#...#.#...#.##..###..###..##..##..####..##.##.##.####.#.#.#...#.####...###...####..###...#.##.#.#####..##.#...#.#.#.##....###..#...#...#.#...#.##..###..###..##..##..####..##.##.##.####.#.#.#...#.####...###...####..###...#.##.#.#####..##.#...#.#.#.##....###..#...#...#.#...#.##..###..###..##..##..####..##.##.##.####.#.#.#...#.####...###...####..###...#.##.#.#####..##.#...#.#.#.##....###..#...#...#.#...#.##..###..###..##..##..####..##.##.##.####.#.#.#...#.####...###...####..###...#.##.#.#####..##.#...#.#.#.##....###..#...#...#.#...#.##..###..###..##..##..####..##.##.##.####.#.#.#...#.####...###...####..###...#.##.#.#
##.#.##..##.#.##.#####.#.#.#.###..#...##..#..####...#..#.########..####..##.###.#####.......##...##....#....#.#.#..##..........#.#...####.##..##.######..###.###.###.##......#..#...#.###..###.##.#...#...###.#.#.##.##..##..##.###.###...#.#.##.#..#....##..###.#...###.#.##.#.##..#.#.#.#.#.#.##..##.####...#.##..#####.#.#..##..##..#...#.###.........##...#...#....##..#.##..#.##..#....##..###.#...###.#.##.#.##..#.#.#.#.#.#.##..##.####...#.##..#####.#.#..##..##..#...#.###.........##...#...#....##..#.##..#.##..#....##..###.#...###.#.##.#.##..#.#.#.#.#.#.##..##.####...#.##..#####.#.#..##..##..#...#.###.........##...#...#....##..#.##..#.##..#....##..###.#...###.#.##.#.##..#.#.#.#.#.#.##..##.####...#.##..#####.#.#..##..##..#...#.###.........##...#...#....##..#.##..#.##..#....##..###.#...###.#.##.#.##..#.#.#.#.#.#.##..##.####...#.##..#####.#.#..##..##..#...#.###.........##...#...#....##..#.##..#.##..#....##..###.#...###.#.##.#.##..#.#.#.#.#.#.##..##.####...#.##..#####.#.#..##..##..#...#.###.........
.....##..#.....#...####..##..##.##.##.##.#..######.##.#...#...#...#..#..####....###..##.##.###.###.##.#.#..#.#...#..#..##.##..#.......##.#####.#.#...#..##..###.#..#..#..#.##.#..####...###..###.#..##..#.#.##..###...#..#.#..###............##.#...#.#.#..##..##.#.#.....####..#.##.###..########..#.....##..#.#.#.##.#.#.##...##.......#..#.#.##.#..###.#..######....#.#.##.####.....#.#.#..##..##.#.#.....####..#.##.###..########..#.....##..#.#.#.##.#.#.##...##.......#..#.#.##.#..###.#..######....#.#.##.####.....#.#.#..##..##.#.#.....####..#.##.###..########..#.....##..#.#.#.##.#.#.##...##.......#..#.#.##.#..###.#..######....#.#.##.####.....#.#.#..##..##.#.#.....####..#.##.###..########..#.....##..#.#.#.##.#.#.##...##.......#..#.#.##.#..###.#..######....#.#.##.####.....#.#.#..##..##.#.#.....####..#.##.###..########..#.....##..#.#.#.##.#.#.##...##.......#..#.#.##.#..###.#..######....#.#.##.####.....#.#.#..##..##.#.#.....####..#.##.###..########..#.....##..#.#.#.##.#.#.##...##.......#..#.#.##.#..###
.#.#.###.##.#.#####.####.....#.###...#####.#.###.#.#..#.#.....###.#..#...#.##.##...##.##.###..#..#.###.#.####.#.......#.##..#######....########.#..##..##....####..###..#####...#..#.###.#.#.###.#...#.#.#..##...##...#.##..###.#.###.#..#.#.######..####..#.#..#..##..##..##..#.##.....#..#.#..#...#..#..###.#.#..##.#.#####..##..##..##..#.####..#...##.##...#######..##..##########..####..#.#..#..##..##..##..#.##.....#..#.#..#...#..#..###.#.#..##.#.#####..##..##..##..#.####..#...##.##...#######..##..##########..####..#.#..#..##..##..##..#.##.....#..#.#..#...#..#..###.#.#..##.#.#####..##..##..##..#.####..#...##.##...#######..##..##########..####..#.#..#..##..##..##..#.##.....#..#.#..#...#..#..###.#.#..##.#.#####..##..##..##..#.####..#...##.##...#######..##..##########..####..#.#..#..##..##..##..#.##.....#..#.#..#...#..#..###.#.#..##.#.#####..##..##..##..#.####..#...##.##...#######..##..##########..####..#.#..#..##..##..##..#.##.....#..#.#..#...#..#..###.#.#..##.#.#####..##..##..##..#.####..#...##
#..#.##.#...#...##...#.....###.#....####..###.#..###.##.....##.##..#.....##.#.#....#.#....##..#.###.####....#.##.##.#..#.##........##......#...###.......#...#.###.#.#####.####.##....#.####..#.....#.#####.#...#.......#.######.##.##....#..###...##..#.##..##.#...###..###.#.#.#..###.....#...####.#.###.#...###.#....##.##.#.#.......##..#.####...#.###.##...##.#..##.####..#.#.#..##..#.##..##.#...###..###.#.#.#..###.....#...####.#.###.#...###.#....##.##.#.#.......##..#.####...#.###.##...##.#..##.####..#.#.#..##..#.##..##.#...###..###.#.#.#..###.....#...####.#.###.#...###.#....##.##.#.#.......##..#.####...#.###.##...##.#..##.####..#.#.#..##..#.##..##.#...###..###.#.#.#..###.....#...####.#.###.#...###.#....##.##.#.#.......##..#.####...#.###.##...##.#..##.####..#.#.#..##..#.##..##.#...###..###.#.#.#..###.....#...####.#.###.#...###.#....##.##.#.#.......##..#.####...#.###.##...##.#..##.####..#.#.#..##..#.##..##.#...###..###.#.#.#..###.....#...####.#.###.#...###.#....##.##.#.#.......##..#.####...#.##
...#..#...##...#...##...#.#....#.#..#..#.#.#..##.#.##..####.#.#.#.###.##..#..#..#...#...###.#.####...#.#.###.###.....#.#.##.########....####..#.#...##.#.###.########.##.##.....#.#...##.##..##...##.#.###.#.##.##.###..#..##.#.#....###.#.#...#.###....#.#.........#..#.#.######.#.#...##.####.###.#.#.##..####.....########..###.#.#.#.#....#####.#.#####.#...####.#.#.....#.####.###....#.#.........#..#.#.######.#.#...##.####.###.#.#.##..####.....########..###.#.#.#.#....#####.#.#####.#...####.#.#.....#.####.###....#.#.........#..#.#.######.#.#...##.####.###.#.#.##..####.....########..###.#.#.#.#....#####.#.#####.#...####.#.#.....#.####.###....#.#.........#..#.#.######.#.#...##.####.###.#.#.##..####.....########..###.#.#.#.#....#####.#.#####.#...####.#.#.....#.####.###....#.#.........#..#.#.######.#.#...##.####.###.#.#.##..####.....########..###.#.#.#.#....#####.#.#####.#...####.#.#.....#.####.###....#.#.........#..#.#.######.#.#...##.####.###.#.#.##..####.....########..###.#.#.#.#....#####.#.###
.#.##.....####.#.##.#.#..#.#.###....###.#.##..###.#......###.##...##.####.#.#####..######.#.#...###.....#.##.#..#...#...##.#..#.###.#.#.##.###..#.##..######.###..##.#...#.#.#.#.#.....####.#.######.#..##..###...#.#.###...#..#....#.##..#.#....#.#..##...#........#...########.########.###..###.#..#.##..#.##.#.##.##.###..#.#.###....#..#.#..##...#..#..###..#..##..##......###.#.#..##...#........#...########.########.###..###.#..#.##..#.##.#.##.##.###..#.#.###....#..#.#..##...#..#..###..#..##..##......###.#.#..##...#........#...########.########.###..###.#..#.##..#.##.#.##.##.###..#.#.###....#..#.#..##...#..#..###..#..##..##......###.#.#..##...#........#...########.########.###..###.#..#.##..#.##.#.##.##.###..#.#.###....#..#.#..##...#..#..###..#..##..##......###.#.#..##...#........#...########.########.###..###.#..#.##..#.##.#.##.##.###..#.#.###....#..#.#..##...#..#..###..#..##..##......###.#.#..##...#........#...########.########.###..###.#..#.##..#.##.#.##.##.###..#.#.###....#..#.#..##...#..
....#..#.##..###.#...#....#....#..#.###.###.#...#####.####.#####..##.#.##..####.#...###..##.##..#....##.####...#...##.###...............##..##.........##.####.####..##..#....#..###...#..#..#...#....#.#..###.###.....#.#....#.....#..####..####..#...#..#..##...#.......##.##....#............#.##..##.#.####.#..#........##..###.#..#.#..###.####.#...#.##..#####...##.....#.#.#...#...#..#..##...#.......##.##....#............#.##..##.#.####.#..#........##..###.#..#.#..###.####.#...#.##..#####...##.....#.#.#...#...#..#..##...#.......##.##....#............#.##..##.#.####.#..#........##..###.#..#.#..###.####.#...#.##..#####...##.....#.#.#...#...#..#..##...#.......##.##....#............#.##..##.#.####.#..#........##..###.#..#.#..###.####.#...#.##..#####...##.....#.#.#...#...#..#..##...#.......##.##....#............#.##..##.#.####.#..#........##..###.#..#.#..###.####.#...#.##..#####...##.....#.#.#...#...#..#..##...#.......##.##....#............#.##..##.#.####.#..#........##..###.#..#.#..###.####.#...
......###.#####.......###..##...##..##..#....#..#####....#.#......##.##....######.#####.#.#...#...#....#########..#..###.#.#.#.#####..#.###.#.....##..#..#..#######.#..#.##..#..#####.##.#.#.#...###.##.....#.#....####.####...##.####..#.#.#.##.#..#..#.#.#...###.###....#.#########.##..#.#...#######.#.###......###..#####.#..##.....##...#.#.#.#.#.....##.####.....#.#..##.....##..#..#.#.#...###.###....#.#########.##..#.#...#######.#.###......###..#####.#..##.....##...#.#.#.#.#.....##.####.....#.#..##.....##..#..#.#.#...###.###....#.#########.##..#.#...#######.#.###......###..#####.#..##.....##...#.#.#.#.#.....##.####.....#.#..##.....##..#..#.#.#...###.###....#.#########.##..#.#...#######.#.###......###..#####.#..##.....##...#.#.#.#.#.....##.####.....#.#..##.....##..#..#.#.#...###.###....#.#########.##..#.#...#######.#.###......###..#####.#..##.....##...#.#.#.#.#.....##.####.....#.#..##.....##..#..#.#.#...###.###....#.#########.##..#.#...#######.#.###......###..#####.#..##.....##...#.#.#.#.#...
##...#.##..##.#..#####....####..#..##.......##.#..##.######.#..######.#.##....##.#.##..####.##.#.......####..####.##.....#.#.#..#...#.#..#..##.#.##.#####..###..#####...#####..######.#..#.....##.##.###..#.####.#.###.#....#.####..#...#..#.#...#........####...##...#....##.###..#....#.#####.###########.#.#.###......#..###.###..####.##.#.#.#..##..#..#.###.##...##.##...#..##.#........####...##...#....##.###..#....#.#####.###########.#.#.###......#..###.###..####.##.#.#.#..##..#..#.###.##...##.##...#..##.#........####...##...#....##.###..#....#.#####.###########.#.#.###......#..###.###..####.##.#.#.#..##..#..#.###.##...##.##...#..##.#........####...##...#....##.###..#....#.#####.###########.#.#.###......#..###.###..####.##.#.#.#..##..#..#.###.##...##.##...#..##.#........####...##...#....##.###..#....#.#####.###########.#.#.###......#..###.###..####.##.#.#.#..##..#..#.###.##...##.##...#..##.#........####...##...#....##.###..#....#.#####.###########.#.#.###......#..###.###..####.##.#.#.#..##..#
##.#.#..####.#..#.##..#...####..#..#..#####.##.##.#.#.##....#.#..#..##.#....##.#..#.#####.##.#.#####...........#####..##.#.########...##...#......#..##..##..##.#..#...####.#.#.###.###..#.##..#.#.#.##.###..#.#.##...#.#...###..#.###...#.####.###.##.##.#.##.##..#####.#...##..#.....#.######.#.#..##..#..##......###..#####.#.#..###...#.#..##..##.##.#.#...#...#.#.##.#.##.####.##.##.##.#.##.##..#####.#...##..#.....#.######.#.#..##..#..##......###..#####.#.#..###...#.#..##..##.##.#.#...#...#.#.##.#.##.####.##.##.##.#.##.##..#####.#...##..#.....#.######.#.#..##..#..##......###..#####.#.#..###...#.#..##..##.##.#.#...#...#.#.##.#.##.####.##.##.##.#.##.##..#####.#...##..#.....#.######.#.#..##..#..##......###..#####.#.#..###...#.#..##..##.##.#.#...#...#.#.##.#.##.####.##.##.##.#.##.##..#####.#...##..#.....#.######.#.#..##..#..##......###..#####.#.#..###...#.#..##..##.##.#.#...#...#.#.##.#.##.####.##.##.##.#.##.##..#####.#...##..#.....#.######.#.#..##..#..##......###..#####.#.#..###...#.#..##..##.##.
###..#..##...##..####.#.#.#.#....####..##...##.#.####..#..#.###..##...##.####...........#..##.##....#..#..####.####.#########..##.....##.....#.#.####.###...#...#.#.#..#.##..###.#..#.###.#.###.##...##.####.#..#.....##.###.##..####...#.#####.#.#.........#.#..#####.....##.#......##......#########..#...##.##..####...#.##..##.##...#########..#...#..#......####.##..##.#.....#.#.........#.#..#####.....##.#......##......#########..#...##.##..####...#.##..##.##...#########..#...#..#......####.##..##.#.....#.#.........#.#..#####.....##.#......##......#########..#...##.##..####...#.##..##.##...#########..#...#..#......####.##..##.#.....#.#.........#.#..#####.....##.#......##......#########..#...##.##..####...#.##..##.##...#########..#...#..#......####.##..##.#.....#.#.........#.#..#####.....##.#......##......#########..#...##.##..####...#.##..##.##...#########..#...#..#......####.##..##.#.....#.#.........#.#..#####.....##.#......##......#########..#...##.##..####...#.##..##.##...#########..#...#.
###.#..######.##.##..#.#..####......##.#.#...######.##..#..#.##..#.#.#..###.#.#.#..#.....#..#.###.#..#..#..####....##.....##..#.#...#....##..###...###.####.##.#..#....##.###.#..##..#.....########..##.#..#...###.#...###.###.#...#.#....######...#..##.####....#.....#.#.##..##........####..##.####.####.####.#######..#..#..#.#.###.#..##.......##..#####.#...#.#.###..###.###.#..#..##.####....#.....#.#.##..##........####..##.####.####.####.#######..#..#..#.#.###.#..##.......##..#####.#...#.#.###..###.###.#..#..##.####....#.....#.#.##..##........####..##.####.####.####.#######..#..#..#.#.###.#..##.......##..#####.#...#.#.###..###.###.#..#..##.####....#.....#.#.##..##........####..##.####.####.####.#######..#..#..#.#.###.#..##.......##..#####.#...#.#.###..###.###.#..#..##.####....#.....#.#.##..##........####..##.####.####.####.#######..#..#..#.#.###.#..##.......##..#####.#...#.#.###..###.###.#..#..##.####....#.....#.#.##..##........####..##.####.####.####.#######..#..#..#.#.###.#..##.......##..#
##.#...##.#.#.##.###......#...###.#..#.......#.###...####....###.###.#.#.###.#...####.#..#####....##..##.##..#.#...###..##.......#.##...#.#.###...#....###....#.###..#.###.#.##...######.##.#.#.....#..#.#....######..####...#.#...#..#......##.###....#####..#.#..####..#.###.##.#.###.##....####.##.##...###...#.###.#.##.#.#......##....##.####.#..###...##.#.#..###....#..#.##..##....#####..#.#..####..#.###.##.#.###.##....####.##.##...###...#.###.#.##.#.#......##....##.####.#..###...##.#.#..###....#..#.##..##....#####..#.#..####..#.###.##.#.###.##....####.##.##...###...#.###.#.##.#.#......##....##.####.#..###...##.#.#..###....#..#.##..##....#####..#.#..####..#.###.##.#.###.##....####.##.##...###...#.###.#.##.#.#......##....##.####.#..###...##.#.#..###....#..#.##..##....#####..#.#..####..#.###.##.#.###.##....####.##.##...###...#.###.#.##.#.#......##....##.####.#..###...##.#.#..###....#..#.##..##....#####..#.#..####..#.###.##.#.###.##....####.##.##...###...#.###.#.##.#.#......##....##.####.#..###
....####.#######...#.######.##.#.####.#..##.#...##....#...#...#.#.#......#.#.##....#.#.####..........######.###..###..######.##.#.###...#.##.#.#..#.#.#.#..#......#.#.####.###.#...#####...##..#..####.######.####.#...##.####.###...#.#..#.....###..##.....#.#.#.##.....#.##..#.....#.#######.....#.##...####.####.#..#.#..#..#...##.#.##.#...####.#.##.###...###....#.#.....########..##.....#.#.#.##.....#.##..#.....#.#######.....#.##...####.####.#..#.#..#..#...##.#.##.#...####.#.##.###...###....#.#.....########..##.....#.#.#.##.....#.##..#.....#.#######.....#.##...####.####.#..#.#..#..#...##.#.##.#...####.#.##.###...###....#.#.....########..##.....#.#.#.##.....#.##..#.....#.#######.....#.##...####.####.#..#.#..#..#...##.#.##.#...####.#.##.###...###....#.#.....########..##.....#.#.#.##.....#.##..#.....#.#######.....#.##...####.####.#..#.#..#..#...##.#.##.#...####.#.##.###...###....#.#.....########..##.....#.#.#.##.....#.##..#.....#.#######.....#.##...####.####.#..#.#..#..#...##.#.##.#...####.#.##.
###.....#.#...##.##..#.##.####..##.....#........###..##.##..###....#.#.#...#.#..#...##..#.##..#######....#...##....#.#.###.###.#..#####.#..#..#.###.##.#.....##...##..##........#..#.##..##..#.#.#..#.#...#......###.###.###.#....#.#......#.#.#..##.##..##.#.###..###.#.##.#.###.#.##...###...##..#.#.#..#...#..#..##.###.##.###.#.#...###....##........#....#.###........#######.#.##.##..##.#.###..###.#.##.#.###.#.##...###...##..#.#.#..#...#..#..##.###.##.###.#.#...###....##........#....#.###........#######.#.##.##..##.#.###..###.#.##.#.###.#.##...###...##..#.#.#..#...#..#..##.###.##.###.#.#...###....##........#....#.####.......#######.#.##.##..##.#.###..###.#.##.#.###.#.##...###...##..#.#.#..#...#..#..##.###.##.###.#.#...###....##........#....#.###........#######.#.##.##..##.#.###..###.#.##.#.###.#.##...###...##..#.#.#..#...#..#..##.###.##.###.#.#...###....##........#....#.###........#######.#.##.##..##.#.###..###.#.##.#.###.#.##...###...##..#.#.#..#...#..#..##.###.##.###.#.#...###....##........
..#.#..##.....###..#..##.###..#.##..##..##...#####....#..###..#.#..#..#.###.#.#.#####..#.###...##.##...###...#.##.#.....#.#..##...####.#...#######.....#.#..#..##..#..#....#...##.#..#.####....###..###.##..##.##.#.#.###..###.##.##.##.###.#.###.####..###.####.###......#.......#..####.####.#.##..#....###.###...###..##..#.#######..##...#.#.##.##....#######.###..###...####....####..###.####.###......#.......#..####.####.#.##..#....###.###...###..##..#.#######..##...#.#.##.##....#######.###..###...####....####..###.####.###......#.......#..####.####.#.##..#....###.###...###..##..#.#######..##...#.#.##.##....#######.###..###...####....####..###.####.###......#.......#..####.####.#.##..#....###.###...###..##..#.#######..##...#.#.##.##....#######.###..###...####....####..###.####.###......#.......#..####.####.#.##..#....###.###...###..##..#.#######..##...#.#.##.##....#######.###..###...####....####..###.####.###......#.......#..####.####.#.##..#....###.###...###..##..#.#######..##...#.#.##.##...
#.##.#.#.####.#....###..#..##.#####...####..##.###.#.#...#.#....#..#.#....#.##.#.#..#.####.#....###.#...#.##.##.##.#.#.....#...#.###......###.####..#...#.##.####..###.#.#####.##.######..##.##.##..##..#.######..#..#.....#.##.###..#...######.########...####...##.........#..##....##...##......###....###.#.#.#...###.....##.#.#....##.####.#####.#..####...#.#..##...........#########...####...##.........#..###...##...##......###....###.#.#.#...###.....##.#.#....##.####.#####.#..####...#.#..##...........#########...####...##.........#..##....##...##......###....###.#.#.#...###.....##.#.#....##.####.#####.#..####...#.#..##...........#########...####...##.........#..##....##...##......###....###.#.#.#...###.....##.#.#....##.####.#####.#..####...#.#..##...........#########...####...##.........#..##....##...##......###....###.#.#.#...###.....##.#.#....##.####.#####.#..####...#.#..##...........#########...####...##.........#..##....##...##......###....###.#.#.#...###.....##.#.#....##.####.#####.#..
..#...#.###.####....##..##.#.#..####.####.#..##.#.####...##...#.....#####.###.....##..#.##....##.###....#.#...#....####.#.##..#.#.#.#.########.....#.##..#....##.......##.#....####.##.#...#....###...#.....##.#.#.......#....##.###..###...##.##.....###........#..#.##....##..####.#...##...#.##...#.##.##.......#..#####.##.#.##..#####.####.#..#..#...###.###..#.#..#.#..#..####.....###........#..#.##....##..####.#...##...#.##...#.##.##.......#..#####.##.#.##..#####.####.#..#..#...###.###..#.#..#.#..#..####.....###........#..#.##....##..####.#...##...#.##...#.##.##.......#..#####.##.#.##..#####.####.#..#..#...###.###..#.#..#.#..#..####.....###........#..#.##....##..####.#...##...#.##...#.##.##.......#..#####.##.#.##..#####.####.#..#..#...###.###..#.#..#.#..#..####.....###........#..#.##....##..####.#...##...#.##...#.##.##.......#..#####.##.#.##..#####.####.#..#..#...###.###..#.#..#.#..#..####.....###........#..#.##....##..####.#...##...#.##...#.##.##.......#..#####.##.#.##..#####.####.#..#..#..
.#..#.##...##.##.##.##.#..##..#...###.#..###......#..###.#...#.....###.####.#....#.#.#.#....#.####.#.###..#....##.###..#.#..#####..#.#....##.##.##..#####....####....##.#.#.#...#.###...###......#.#..#.#.#.#.#.#..#..##..#.#..#.....##...###...###...##.######.#..#.###.#.#.####..###.##.#...........#..##..###..##.#..###...#.#...#..#.###....#.#####.###..##.#.#####.##....#..#.###...##.######.#..#.###.#.#.####..###.##.#...........#..##..###..##.#..###...#.#...#..#.###....#.#####.###..##.#.#####.##....#..#.###...##.######.#..#.###.#.#.####..###.##.#...........#..##..###..##.#..###...#.#...#..#.###....#.#####.###..##.#.#####.##....#..#.###...##.######.#..#.###.#.#.####..###.##.#...........#..##..###..##.#..###...#.#...#..#.###....#.#####.###..##.#.#####.##....#..#.###...##.######.#..#.###.#.#.####..###.##.#...........#..##..###..##.#..###...#.#...#..#.###....#.#####.###..##.#.#####.##....#..#.###...##.######.#..#.###.#.#.####..###.##.#...........#..##..###..##.#..###...#.#...#..#.###....#.#####.#
.##.##.##.###.#..###.#.....#....#####.#.###.#..#.#####..#####...##...#####.#.#...#........####.#####..##..##....###.#.#..##...#..##..#.#....##.####.###..#.#.#.#.#.###.#........#.###...##.###.##.....#.......#.##..###.#..######...##.#...#....##..###.#.###.####...####..#..#.######.#...##..#####..#..#..###.#.##.##.##.###....#.#..##.#.#.#...###.#..########...##.....#.#.##.###..###.#.###.####...####..#..#.######.#...##..#####..#..#..###.#.##.##.##.###....#.#..##.#.#.#...###.#..########...##.....#.#.##.###..###.#.###.####...####..#..#.######.#...##..#####..#..#..###.#.##.##.##.###....#.#..##.#.#.#...###.#..########...##.....#.#.##.###..###.#.###.####...####..#..#.######.#...##..#####..#..#..###.#.##.##.##.###....#.#..##.#.#.#...###.#..########...##.....#.#.##.###..###.#.###.####...####..#..#.######.#...##..#####..#..#..###.#.##.##.##.###....#.#..##.#.#.#...###.#..########...##.....#.#.##.###..###.#.###.####...####..#..#.######.#...##..#####..#..#..###.#.##.##.##.###....#.#..##.#.#.#...###.#..
.###.##.#.###.####.#.#...#.##.#.##..###.#.#.#.#.#.#.#.#.#.#......#...#.#.#.##.###..##.#####..#..#.##...#..#...#.#.###..#.##.#....#.#.#..#.##.###.##.##.#.##..##.#.#.#....#..##.#...###...#..#.#..#.#....##.####.#.....###.####...###.##....#.#..#..........###..#.#..####.##..#..##.#........##..###..##.##..#.#..##.#.##.#.##..#.###..#...###.#.##.##.##.#...#.###....###..#####..#..........###..#.#..####.##..#..##.#........##..###..##.##..#.#..##.#.##.#.##..#.###..#...###.#.##.##.##.#...#.###....###..#####..#..........###..#.#..####.##..#..##.#........##..###..##.##..#.#..##.#.##.#.##..#.###..#...###.#.##.##.##.#...#.###....###..#####..#..........###..#.#..####.##..#..##.#........##..###..##.##..#.#..##.#.##.#.##..#.###..#...###.#.##.##.##.#...#.###....###..#####..#..........###..#.#..####.##..#..##.#........##..###..##.##..#.#..##.#.##.#.##..#.###..#...###.#.##.##.##.#...#.###....###..#####..#..........###..#.#..####.##..#..##.#........##..###..##.##..#.#..##.#.##.#.##..#.###..#...###.#.##.##.##
.....#.#..########..#.########..##.#...##.........##...#...####..##..#...####.##...#.#...#..###..###...##....#..###...#.####..#####.###..###...#.##..##.#....#.##.###..##.##.....#.##...##..###....#..###.#..#.#.#.#...#.##..##...#####..##..##.####.##.#..#..#..#..####.#...#####.#...######...###.....#.##.......########..##..#####.###...#...#.###...........###..#.#####..#...####.##.#..#..#..#..####.#...#####.#...######...###.....#.##.......########..##..#####.###...#...#.###...........###..#.#####..#...####.##.#..#..#..#..####.#...#####.#...######...###.....#.##.......########..##..#####.###...#...#.###...........###..#.#####..#...####.##.#..#..#..#..####.#...#####.#...######...###.....#.##.......########..##..#####.###...#...#.###...........###..#.#####..#...####.##.#..#..#..#..####.#...#####.#...######...###.....#.##.......########..##..#####.###...#...#.###...........###..#.#####..#...####.##.#..#..#..#..####.#...#####.#...######...###.....#.##.......########..##..#####.###...#...#.###...
.####.#..#.#.##....#.#.####.###..#.#....###.###.##.#.#...##..#...#......#..#....##..###...###..#..###.##..#.##.#..##..#.#..#...#.#..#..#.#..##..###.#.#...##.#.#.#.####....##...#.###.#.....#....#.....#####.#.##..#####.#.####....##.#.###..#...#.##.#.##...##...##.#....#..###...##.#.##......#.##.......#...#...#.####.##..#....##.#.##.##.##..#..#...#..#..#..#.#####....###...##.##.#.##...##...##.#....#..###...##.#.##......#.##.......#...#...#.####.##..#....##.#.##.##.##..#..#...#..#..#..#.#####....###...##.##.#.##...##...##.#....#..###...##.#.##......#.##.......#...#...#.####.##..#....##.#.##.##.##..#..#...#..#..#..#.#####....###...##.##.#.##...##...##.#....#..###...##.#.##......#.##.......#...#...#.####.##..#....##.#.##.##.##..#..#...#..#..#..#.#####....###...##.##.#.##...##...##.#....#..###...##.#.##......#.##.......#...#...#.####.##..#....##.#.##.##.##..#..#...#..#..#..#.#####....###...##.##.#.##...##...##.#....#..###...##.#.##......#.##.......#...#...#.####.##..#....##.#.##.##.##..#..#...
##...###.#####.....##.#.#.#..#...#...####.#...#.###...#.#....#.##..#.#.#####.##.#..##.#.#..##.###.#....########..##.###.##.#..#.###.##.##.#####..###.#..#######..#.####.#####..#####.####...##..#...#...#.######..#.#.....###.#..##.###...#..#........##..##...###.#..###..########.#..####.#.#.###.#######.##..#.#...##...###.##..........#.#.##.#...#.####.#####...######...#.##.......##..##...###.#..###..########.#..####.#.#.###.#######.##..#.#...##...###.##..........#.#.##.#...#.####.#####...######...#.##.......##..##...###.#..###..########.#..####.#.#.###.#######.##..#.#...##...###.##..........#.#.##.#...#.####.#####...######...#.##.......##..##...###.#..###..########.#..####.#.#.###.#######.##..#.#...##...###.##..........#.#.##.#...#.####.#####...######...#.##.......##..##...###.#..###..########.#..####.#.#.###.#######.##..#.#...##...###.##..........#.#.##.#...#.####.#####...######...#.##.......##..##...###.#..###..########.#..####.#.#.###.#######.##..#.#...##...###.##..........#.#.##.#...#.#
###.##.###..##.#.#...###...#..####.......#.#....##.##.#.##.##..#..##.########......##.#.##.###.##....##..#..###..###..###.....##.#...#..###....#.#....#.#.#..####.##.###.##..#..#..#.#..#####.##...###..#####..#.....##.#...#....######...##.##...##.#.#.#..##...##.##..#.#.....#.#.##.##..###..#..#.#.##.....##......##....#.##...##.#..#.....######..#.#.#..###......#.#....#.#....##.#.#.#..##...##.##..#.#.....#.#.##.##..###..#..#.#.##.....##......##....#.##...##.#..#.....######..#.#.#..###......#.#....#.#....##.#.#.#..##...##.##..#.#.....#.#.##.##..###..#..#.#.##.....##......##....#.##...##.#..#.....######..#.#.#..###......#.#....#.#....##.#.#.#..##...##.##..#.#.....#.#.##.##..###..#..#.#.##.....##......##....#.##...##.#..#.....######..#.#.#..###......#.#....#.#....##.#.#.#..##...##.##..#.#.....#.#.##.##..###..#..#.#.##.....##......##....#.##...##.#..#.....######..#.#.#..###......#.#....#.#....##.#.#.#..##...##.##..#.#.....#.#.##.##..###..#..#.#.##.....##......##....#.##...##.#..#.....######..#.
###.##..#...##.#..##.##.###.####.##.##.####..#..#.######.#....#..#######..##..#######.#..#..####.##..#..#####..#..........##...###..#.#.#..#.###.##...#..#.####..#..##.#.#.####.....#####..#.#......#...#...#.#.#...#.#..##....#..##.###.##......#.#####..#.##.#.#..#.#.##...#########.###......#.##..##..##.###...######..##..####...#..#.#.#.##..#......#..#..##..######...#..#...#.#####..#.##.#.#..#.#.##...#########.###......#.##..##..##.###...######..##..####...#..#.#.#.##..#......#..#..##..######...#..#...#.#####..#.##.#.#..#.#.##...#########.###......#.##..##..##.###...######..##..####...#..#.#.#.##..#......#..#..##..######...#..#...#.#####..#.##.#.#..#.#.##...#########.###......#.##..##..##.###...######.###..####...#..#.#.#.##..#......#..#..##..######...#..#...#.#####..#.##.#.#..#.#.##...#########.###......#.##..##..##.###...######..##..####...#..#.#.#.##..#......#..#..##..######...#..#...#.#####..#.##.#.#..#.#.##...#########.###......#.##..##..##.###...######..##..####...#..#.#.#.##..#.....
.#..#..#....#.##..###.##.#...###.###.#.##.##.####..#.#.##.##..#.####...###.##.....####.#.##..#.####.####..###.#...#########..#.##...##.#.###.######.#..##..#..#....##.####.###.#.##..#.###...#####..#.#.....####.#..#..#...#.####..###....####.##..#.#.#.#..###....###..#..#.##.#...##...#.#.##.###.#.##....###...##.###....#..#.#..#....#....#..#.##.#.###.######..###.##.###..##....#.#.#.#..###....###..#..#.##.#...##...#.#.##.###.#.##....###...##.###....#..#.#..#....#....#..#.##.#.###.######..###.##.###..##....#.#.#.#..###....###..#..#.##.#...##...#.#.##.###.#.##....###...##.###....#..#.#..#....#....#..#.##.#.###.######..###.##.###..##....#.#.#.#..###....###..#..#.##.#...##...#.#.##.###.#.##....###...##.###....#..#.#..#....#....#..#.##.#.###.######..###.##.###..##....#.#.#.#..###....###..#..#.##.#...##...#.#.##.###.#.##....###...##.###....#..#.#..#....#....#..#.##.#.###.######..###.##.###..##....#.#.#.#..###....###..#..#.##.#...##...#.#.##.###.#.##....###...##.###....#..#.#..#....#....#..#.##.#.#
#..#.#...#.####.#.####.##.#####.#.....###....##.....#..#...##.###.##.#..#...#.###..#...##....#...##.#...##....#.#.##.#.#####...##.###.#.##...###.#..##.##.#.#.#..#.##.#..#.#.#.#...#.##...#.#...#....##.#.##..##.###..#.##..##..##...#...#..##.##..####..#.##.#..##.#..#..#.#.......##.##..#######..######.##..###.##.#..#.#...##.........###..#.#....##..#.#.##.#...#####..##..#..#..####..#.##.#..##.#..#..#.#.......##.##..#######..######.##..###.##.#..#.#...##.........###..#.#....##..#.#.##.#...#####..##..#..#..####..#.##.#..##.#..#..#.#.......##.##..#######..######.##..###.##.#..#.#...##..#......###..#.#....##..#.#.##.#...#####..##..#..#..####..#.##.#..##.#..#..#.#.......##.##..#######..######.##..###.##.#..#.#...##.........###..#.#....##..#.#.##.#...#####..##..#..#..####..#.##.#..##.#..#..#.#.......##.##..#######..######.##..###.##.#..#.#...##.........###..#.#....##..#.#.##.#...#####..##..#..#..####..#.##.#..##.#..#..#.#.......##.##..#######..######.##..###.##.#..#.#...##.........###..#.#....##.
##.##.#.#..###..#.#.#.###..#########.#####..#.##.###..####.####.##...#.#.........#########...##..#####..#.#.#.#.###.#.##.#...##.#.####.##.#.#.##.########....####..##.....##.....#..#.#....#.#..#.##.##.#.#####...#...####..#..##.#.....#..##.#####..#..##.#..#...####.##.#.#######.###..#...#..####..#.###.#.###.......####...#...#..##.###.##.#####..###.#.#.#..##....##...##...####..#..##.#..#...####.##.#.#######.###..#...#..####..#.###.#.###.......####...#...#..##.###.##.#####..###.#.#.#..##....##...##...####..#..##.#..#...####.##.#.#######.###..#...#..####..#.###.#.###.......####...#...#..##.###.##.#####..###.#.#.#..##....##...##...####..#..##.#..#...####.##.#.#######.###..#...#..####..#.###.#.###.......####...#...#..##.###.##.#####..###.#.#.#..##....##...##...####..#..##.#..#...####.##.#.#######.###..#...#..####..#.###.#.###.......####...#...#..##.###.##.#####..###.#.#.#..##....##...##...####..#..##.#..#...####.##.#.#######.###..#...#..####..#.###.#.###.......####...#...#..##.###.##.#####..##
.##...##...#.##.#.##..###.#.#.#####.###.#....##...#.##..##.####..#.##.#....###.....#.###.#..#..#..#.####...#...#.#.###.##.#......#.###.##.#.####.####.#.#.....####..#...#..###.###.###..##.##.##..#.###########.##.##..#.#.#.###.###.#.####..#.###..####.####....#..#..###.#.#.##.###....####.##.#..#..####.#.#.#.#..#.##..####.##.....#...####.#.#..#...#........###...#.#..#..#.###..####.####....#..#..###.#.#.##.###....####.##.#..#..####.#.#.#.#..#.##..####.##.....#...####.#.#..#...#........###...#.#..#..#.###..####.####....#..#..###.#.#.##.###....####.##.#..#..####.#.#.#.#..#.##..####.##.....#...####.#.#..#...#........###...#.#..#..#.###..####.####....#..#..###.#.#.##.###....####.##.#..#..####.#.#.#.#..#.##..####.##.....#...####.#.#..#...#........###...#.#..#..#.###..####.####....#..#..###.#.#.##.###....####.##.#..#..####.#.#.#.#..#.##..####.##.....#...####.#.#..#...#........###...#.#..#..#.###..####.####....#..#..###.#.#.##.###....####.##.#..#..####.#.#.#.#..#.##..####.##.....#...####.#.#..#...
.....#.#....#.#.......###.#..##.##..#.##.###....#..#.######...#.##.##......###.##..#.##.##..####.###.#.#.######.#####.##..#..#...#.....#...##.#.##......#.###.###...#....##..#.....##.##.##.#....#..###..##..###...#..##.#.#..##..####.##..#####....##.....#.##..####......##.#..##.##....##..#..#....###.#####.#.#.#.#.####..#.#.#.#..##..#.####.#....#....###.##.#.##.....########...##.....#.##..####......##.#..##.##....##..#..#....###.#####.#.#.#.#.####..#.#.#.#..##..#.####.#....#....###.##.#.##.....########...##.....#.##..####......##.#..##.##....##..#..#....###.#####.#.#.#.#.####..#.#.#.#..##..#.####.#....#....###.##.#.##.....########...##.....#.##..####......##.#..##.##....##..#..#....###.#####.#.#.#.#.####..#.#.#.#..##..#.####.#....#....###.##.#.##.....########...##.....#.##..####......##.#..##.##....##..#..#....###.#####.#.#.#.#.####..#.#.#.#..##..#.####.#....#....###.##.#.##.....########...##.....#.##..####......##.#..##.##....##..#..#....###.#####.#.#.#.#.####..#.#.#.#..##..#.####.#....#.
#...#.##.....##.#.#..#..###.##.###..#.#......#..###.###.#####...##.....#.##..#..###..#######..##.###..##.#...###.###..##.#.##..#..###...#.##...##.....##.#####...#.######..##.#....#.###.###..#..#.#....#..##.#..#....##..#.#.#####.####...#..#..##...#.###..#..#.##...#####.##.###.##.##.##.#.###..#.##.#....##........#.#.#..#.#.#...#...###.#####...#.###...##.#.#####......#..#.##...#.###..#..#.##...#####.##.###.##.##.##.#.###..#.##.#....##........#.#.#..#.#.#...#...###.#####...#.###...##.#.#####......#..#.##...#.###..#..#.##...#####.##.###.##.##.##.#.###..#.##.#....##........#.#.#..#.#.#...#...###.#####...#.###...##.#.#####......#..#.##...#.###..#..#.##...#####.##.###.##.##.##.#.###..#.##.#....##........#.#.#..#.#.#...#...###.#####...#.###...##.#.#####......#..#.##...#.###..#..#.##...#####.##.###.##.##.##.#.###..#.##.#....##........#.#.#..#.#.#...#...###.#####...#.###...##.#.#####......#..####...#.###..#..#.##...#####.##.###.##.##.##.#.###..#.##.#....##........#.#.#..#.#.#...#...###.#####...#.
#####.#.##.#...###...##..####.#####.#.##..#.#.###.#.#.#....###.#...#.......#.#.#..#..####..#....#...#.....##.##.#.##.##.###.#.#.#..##.##.#.....##.#.#.#.#..###..###.##..#.####..##.#..#.#.#..###.####.#.#.##..##..#######.#.#..##.#########..#.#.#...####.#####...##.###....#...###.#..###.#.....###..##.#...##.#.###.####...#..#.##.##....#...#......#..#.##..#..#..#.##..##.#####.#...####.#####...##.###....#...###.#..###.#.....###..##.#...##.#.###.####...#..#.##.##....#...#......#..#.##..#..#..#.##..##.#####.#...####.#####...##.###....#...###.#..###.#.....###..##.#...##.#.###.####...#..#.##.##....#...#......#..#.##..#..#..#.##..##.#####.#...####.#####...##.###....#...###.#..###.#.....###..##.#...##.#.###.####...#..#.##.##....#...#......#..#.##..#..#..#.##..##.#####.#...####.#####...##.###....#...###.#..###.#.....###..##.#...##.#.###.####...#..#.##.##....#...#......#..#.##..#..#..#.##..##.#####.#...####.#####...##.###....#...###.#..###.#.....###..##.#...##.#.###.####...#..#.##.##....#...#......#..
..#...#...###...#.#.####.##.##.#...##..##.##...#..##........#..#..###..####.#..#.##.####..####..###...#....##.#.#..#.#....##....###..##..#..#..##.#....#.##..######...#...##.##.####...##.###.####.##.##.......#.#...##..#####..#...###.#.#.#....#.#.#...####...#.##.####.####..########.#.#.....####..#...##..###..#.##.#.#..##...#.#..##....##.##.##....#.#.#.#########.##.#..##..#.#.#...####...#.##.####.####..########.#.#.....####..#...##..###..#.##.#.#..##...#.#..##....##.##.##....#.#.#.#########.##.#..##..#.#.#...####...#.##.####.####..########.#.#.....####..#...##..###..#.##.#.#..##...#.#..##....##.##.##....#.#.#.#########.##.#..##..#.#.#...####...#.##.####.####..########.#.#.....####..#...##..###..#.##.#.#..##...#.#..##....##.##.##....#.#.#.#########.##.#..##..#.#.#...####...#.##.####.####..########.#.#.....####..#...##..###..#.##.#.#..##...#.#..##....##.##.##....#.#.#.#########.##.#..##..#.#.#...####...#.##.####.####..########.#.#.....####..#...##..###..#.##.#.#..##...#.#..##....##.##.##...
.####.####..#####.#..#.......#..##.#....#....#.###.##..#.####....#.#....#..#..##.##..###..#####.#.....##.##.#...#..###.#.#.....##.......#.##..#####..##.##.#....######..####....##..###..####.####..#..#.#........##..######....##...##.###.####...######...##...#..#.###.##.#.#.#.#####..#..####.##...#.....###......###...#.##.#..#..###.#.##.###.####.##.#.#..###.#.######.##..#...######...##...#..#.###.##.#.#.#.#####..#..####.##...#.....###......###...#.##.#..#..###.#.##.###.####.##.#.#..###.#.######.##..#...######...##...#..#.###.##.#.#.#.#####..#..####.##...#.....###......###...#.##.#..#..###.#.##.###.####.##.#.#..###.#.######.##..#...######...##...#..#.###.##.#.#.#.#####..#..####.##...#.....###......###...#.##.#..#..###.#.##.###.####.##.#.#..###.#.######.##..#...######...##...#..#.###.##.#.#.#.#####..#..####.##...#.....###......###...#.##.#..#..###.#.##.###.####.##.#.#..###.#.######.##..#...######...##...#..#.###.##.#.#.#.#####..#..####.##...#.....###......###...#.##.#..#..###.#.##.###.####.
.##......#.##......##.##..###.......#.#...#####.#.####....###.##.#..#.###.#......#######.#####.##.#....###.#.#.#..##.#.#.##.#...#.###..#.##...##.#.#.##.###.##.###.###.######..#.##..#.#...##....#.##.#...#...###...###.##..#...#.#.##.#......#.###.#.##.###.#..#...#..#..##..######.....#.######...####..##.##.##.#..#..##.#.....#.#.######.###.#.#..#..##.#..#.###....#.#...#.#...##.#.##.###.#..#...#..#..##..######.....#.######...####..##.##.##.#..#..##.#.....#.#.######.###.#.#..#..##.#..#.###....#.#...#.#...##.#.##.###.#..#...#..#..##..######.....#.######...####..##.##.##.#..#..##.#.....#.#.######.###.#.#..#..##.#..#.###....#.#...#.#...##.#.##.###.#..#...#..#..##..######.....#.######...####..##.##.##.#..#..##.#.....#.#.######.###.#.#..#..##.#..#.###....#.#...#.#...##.#.##.###.#..#...#..#..##..######.....#.######...####..##.##.##.#..#..##.#.....#.#.######.###.#.#..#..##.#..#.###....#.#...#.#...##.#.##.###.#..#...#..#..##..######.....#.######...####..##.##.##.#..#..##.#.....#.#.######.###.#.#..#..
..#.##.#....##....###....##........#.##...#.....###.##.##.##.####.#..#...#..##...####..##.#....#..#.##.#..##.#.#..#.#.#..###.#.###.#.#.#.##...###..#.###.####.##.####..#.#......#.....#.########...#.##.....#####.....#.#####..#.##.#....#...#..##.#####.##...##.....##..#...###..##.....##...####.###.###.#.##.#..####.#######.##..###.##.###.###..#...####.#.#...##..#####.#...####.#####.##...##.....##..#...###..##.....##...####.###.###.#.##.#..####.#######.##..###.##.###.###..#...####.#.#.#.##..#####.#...####.#####.##...##.....##..#...###..##.....##...####.###.###.#.##.#..####.#######.##..###.##.###.###..#...####.#.#...##..#####.#...####.#####.##...##.....##..#...###..##.....##...####.###.###.#.##.#..####.#######.##..###.##.###.###..#...####.#.#...##..#####.#...####.#####.##...##.....##..#...###..##.....##...####.###.###.#.##.#..####.#######.##..###.##.###.###..#...####.#.#...##..#####.#...####.#####.##...##.....##..#...###..##..#..##...####.###.###.#.##.#..####.#######.##..###.##.###.###..#...#
.##..#.#.#....#.#...###..#.#.##..###..##.###...##.##..#.#..###.#.####.##..#.#..##..##..#.##.#......#...###.#.##.....#.#...#.#.#...#.###..#......##.#.#.##.##.########..#.##.###....###.###...####.#...##..#.....#.##..#.#####..####..#...##.#.#####.###.##..##.#..##..##.###......##.#.#...###....####..#...####...##....#.#.#.#.#..#.##.#..###.###...#####..####..#.#.###.###.###.###.###.##..##.#..##..##.###......##.#.#...###....####..#...####...##....#.#.#.#.#..#.##.#..###.###...#####..####..#.#.###.###.###.###.###.##..##.#..##..##.###......##.#.#...###....####..#...####...##....#.#.#.#.#..#.##.#..###.###...#####..####..#.#.###.###.###.###.###.##..##.#..##..##.###......##.#.#...###....####..#...####...##....#.#.#.#.#..#.##.#..###.###...#####..####..#.#.###.###.###.###.###.##..##.#..##..##.###......##.#.#...###....####..#...####...##....#.#.#.#.#..#.##.#..###.###...#####..####..#.#.###.###.###.###.###.##..##.#..##..##.###......##.#.#...###....####..#...####...##....#.#.#.#.#..#.##.#..###.###...###
#..#....##.##..##..#######.#...##........#..#..#..#.##.#..#..##.#.#...#..#.#####..######.#..#.#.#..#.#..##.#..#.###.##..#.####.#.##.##.#.#.##..###...###.###....#..#####.#......##.#.#.###.....#..#.#......####.#..###..#######....##.....######.#.#.##.#..####..#.###.##...#.....#.##..##.##.#.#..##.##.#.##.#...#.##.#..#..###.####..#...#..####..##...#.####.....##.....#.#.#...##.#.##.#..####..#.###.##...#.....#.##..##.##.#.#..##.##.#.##.#...#.##.#..#..###.####..#...#..####..##...#.####.....##.....#.#.#...##.#.##.#..####..#.###.##...#.....#.##..##.##.#.#..##.##.#.##.#...#.##.#..#..###.####..#...#..####..##...#.####.....##.....#.#.#...##.#.##.#..####..#.###.##...#.....#.##..##.##.#.#..##.##.#.##.#...#.##.#..#..###.####..#...#..####..##...#.####.....##.....#.#.#...##.#.##.#..####..#.###.##...#.....#.##..##.##.#.#..##.##.#.##.#...#.##.#..#..###.####..#...#..####..##...#.####.....##.....#.#.#...##.#.##.#..####..#.###.##...#.....#.##..##.##.#.#..##.##.#.##.#...#.##.#..#..###.####..#...#..####..##...
.##.#.##.#.##.##..##.###...#.#.#.#.#..#...#######..#...####...####..###..##.##.#....#.#.#.##.#..#.##.#####.#.#.....#.####...#..#..#..##...#..##..#.#.....###.#.#.###..##.###.#.#..##.##.....#.##....##.#..##...#..#..#.####...#....#.#.#..#........#..#.#.#........#........####.#####..###.##.#.########.####.#.#.##...##..####.####.##.###.#...##...#.######.#..#######.#.#...###...#..#.#.#........#........####.#####..###.##.#.########.####.#.#.##...##..####.####.##.###.#...##...#.######.#..#######.#.#...###...#..#.#.#........#........####.#####..###.##.#.########.####.#.#.##...##..####.####.##.###.#...##...#.######.#..#######.#.#...###...#..#.#.#........#........####.#####..###.##.#.########.####.#.#.##...##..####.####.##.###.#...##...#.######.#..#######.#.#...###...#..#.#.#........#........####.#####..###.##.#.########.####.#.#.##...##..####.####.##.###.#...##...#.######.#..#######.#.#...###...#..#.#.#........#........####.#####..###.##.#.########.####.#.#.##...##..####.####.##.###.#...##...#.#
..#.....#.#..####..#....#......#.#.##.#.##.#######.#.#.#...#..#.##.##..###.#####...####...#..#.##..####...###.###.#.###..##.#.#.#.#.##.##..##.#.#.####...#.#.#.##.#.#.....##.##...#.#.##..#..###.##..##.##.#.##..##.##..###..#####.#.##.#.#####.#..#..###.#.##.#..##.##...##.#...###..#.###########.#####.#.#...#.....#.#.##..###.#...##.##......##.##.#.#.##.##..#...#..........##...#..###.#.##.#..##.##...##.#...###..#.###########.#####.#.#...#.....#.#.##..###.#...##.##......##.##.#.#.##.##..#...#..........##...#..###.#.##.#..##.##...##.#...###..#.###########.#####.#.#...#.....#.#.##..###.#...##.##......##.##.#.#.##.##..#...#..........##...#..###.#.##.#..##.##...##.#...###..#.###########.#####.#.#...#.....#.#.##..###.#...##.##......##.##.#.#.##.##..#...#..........##...#..###.#.##.#..##.##...##.#...###..#.###########.#####.#.#...#.....#.#.##..###.#...##.##......##.##.#.#.##.##..#...#..........##...#..###.#.##.#..##.##...##.#...###..#.###########.#####.#.#...#.....#.#.##..###.#...##.##......##.##.#.
#..###.###..#....###.....#.##..##.####.#.##.#.#.#..##.......#...###.....##.##.....#.#.....#..##.##.###..#...#..###....##.##.##...#...#..#.#.#..#...#....#...#####.##..##........####.###...#.##.######.#..#.#.....#.##.##.#..####.##..#....##.#.#.#..#...#..###.#..##.#####.##...#.##.#.#.#..##...###.##..#.##.....#..##.#.####.##...#......#......#.....#.#####......#.#...##.##..#.#..#...#..###.#..##.#####.##...#.##.#.#.#..##...###.##..#.##.....#..##.#.####.##...#......#......#.....#.#####......#.#...##.##..#.#..#...#..###.#..##.#####.##...#.##.#.#.#..##...###.##..#.##.....#..##.#.####.##...#......#......#.....#.#####......#.#...##.##..#.#..#...#..###.#..##.#####.##...#.##.#.#.#..##...###.##..#.##.....#..##.#.####.##...#......#......#.....#.#####......#.#...##.##..#.#..#...#..###.#..##.#####.##...#.##.#.#.#..##...###.##..#.##.....#..##.#.####.##...#......#......#.....#.#####......#.#...##.##..#.#..#...#..###.#..##.#####.##...#.##.#.#.#..##...###.##..#.##.....#..##.#.####.##...#......#......#.....
..#..##..##.##.....###..#..##..#.#.#...####..##.###..##.#.#..##.#..#....#..###...##.#.#.####..####..#..#.#..#.#....##..#.####....#.##.....#...##.###.#..###.##........#.##...####..###.##.##.####.#......#...#.##...####..#######.#...#.#####.#.###..#.#.#..##.#..#..#..#...#.....#.#.#.##..###.#..#.###..#.###.###.###.#.###....###.#..##...#....##..#.#..#######.##.#.#...####.#.###..#.#.#..##.#..#..#..#...#.....#.#.#.##..###.#..#.###..#.###.###.###.#.###....###.#..##...#....##..#.#..#######.##.#.#...####.#.###..#.#.#..##.#..#..#..#...#.....#.#.#.##..###.#..#.###..#.###.###.###.#.###....###.#..##...#....##..#.#..#######.##.#.#...####.#.###..#.#.#..##.#..#..#..#...#.....#.#.#.##..###.#..#.###..#.###.###.###.#.###....###.#..##...#....##..#.#..#######.##.#.#...####.#.###..#.#.#..##.#..#..#..#...#.....#.#.#.##..###.#..#.###..#.###.###.###.#.###....###.#..##...#....##..#.#..#######.##.#.#...######.###..#.#.#..##.#..#..#.##...#.....#.#.#.##..###.#..#.###..#.###.###.###.#.###....###.#..##...#....##..#.#
..####.##.####.#..#.####.#.#..##..#.#.#.#.###############..#.##..###.#....###.##.##..######.#.....##...#.#...#..##.#.##..##..#..###..###.#..#..##....#.###..##.#....##...#...#.....#.##.##......##.##.####..#..#....####.##..#.......#####....#..#.....##....#####..##.####.#.#....##.......###.#.#.###.###...#.#....#..#.#.#..#..#....#.##....#.###.####..###...###.#...##..#..##.##.....##....#####..##.####.#.#....##.......###.#.#.###.###...#.#....#..#.#.#..#..#....#.##....#.###.####..###...###.#...##..#..##.##.....##....#####..##.####.#.#....##.......###.#.#.###.###...#.#....#..#.#.#..#..#....#.##....#.###.####..###...###.#...##..#..##.##.....##....#####..##.####.#.#....##.......###.#.#.###.###...#.#....#..#.#.#..#..#....#.##....#.###.####..###...###.#...##..#..##.##.....##....#####..##.####.#.#....##.......###.#.#.###.###...#.#....#..#.#.#..#..#....#.##....#.###.####..###...###.#...##..#..##.##.....##....#####..##.####.#.#....##.......###.#.#.###.###...#.#....#..#.#.#..#..#....#.##....#.###.####
#.....######..#.#.##.#..#...##.##.##.#.##.#...#.###...##.#.......#....##...#..#####..#...#....#...#.##.#.....###.#......#............#....###..#......#.#.#...#.##....#..##.###...##.#.#..####...#####.#.##.########..####..##.#.#.#..###..#.####..#########...#..#..#.##...##.#.#....#.#..##.#.####.#.#.#.......#.#.#####......###.##.#.#...##.##.#....#.####..####.#...#.#.###.#....#########...#..#..#.##...##.#.#....#.#..##.#.####.#.#.#.......#.#.#####......###.##.#.#...##.##.#....#.####..####.#...#.#.###.#....#########...#..#..#.##...##.#.#....#.#..##.#.####.#.#.#.......#.#.#####......###.##.#.#...##.##.#....#.####..####.#...#.#.###.#....#########...#..#..#.##...##.#.#....#.#..##.#.####.#.#.#.......#.#.#####......###.##.#.#...##.##.#....#.####..####.#...#.#.###.#....#########...#..#..#.##...##.#.#....#.#..##.#.####.#.#.#.......#.#.#####......###.##.#.#...##.##.#....#.####..####.#...#.#.###.#....#########...#..#..#.##...##.#.#....#.#..##.#.####.#.#.#.......#.#.#####......###.##.#.#...##.##.#....#
#.#.##.#...#..####..##..#.###.###.##.##.##..##.....#...##...###....#..#..#..#.##.#...#..##.#.#.###.#...#.#.#.#..#..#.##..###.###..##...##...#.#.##.#.###.#...#.....##.#.....#..#.##...#.#.#..##..#.##.#....##..##.#..###.#.##..#...#...##.#.#.##.#......##.#.#.#..##.#..#.#...#.###..###...#...##.##..#...#.#...#.###.#..##..#..###.###.#.#...##.....#.##..###..###...#.##....##.#.##......##.#.#.#..##.#..#.#...#.###..###...#...##.##..#...#.#...#.###.#..##..#..###.###.#.#...##.....#.##..###..###...#.##....##.#.##......##.#.#.#..##.#..#.#...#.###..###...#...##.##..#...#.#...#.###.#..##..#..###.###.#.#...##.....#.##..###..###...#.##....##.#.##......##.#.#.#..##.#..#.#...#.###..###...#...##.##..#...#.#...#.###.#..##..#..###.###.#.#...##.....#.##..###..###...#.##....##.#.##......##.#.#.#..##.#..#.#...#.###..###...#...##.##..#...#.#...#.###.#..##..#..###.###.#.#...##.....#.##..###..###...#.##....##.#.##......##.#.#.#..##.#..#.#...#.###..###...#...##.##..#...#.#...#.###.#..##..#..###.###.#.#...##.....#.##
.#......#.#..#...###....###.#.#.#.#..####..###...###.#..#..#...###.#.#..#..#.#.....#...#.####.##....#.....#.#..#.#.##....###...#.##..##.####.###..##...#....###.#.#.#.##.#.#.########.#...#....#...#.##....##.#####....##....##.#.###.#...#.#..#..##.#.#.##.##.###..#..##..#.#.#..###.#.#.####.##........#.###.###....######..#.####.#.##....##.###..#.####..#####..#.#..#.#.###.##..##.#.#.##.##.###..#..##..#.#.#..###.#.#.####.##........#.###.###....######.##.####.#.##....##.###..#.####..#####..#.#..#.#.###.##..##.#.#.##.##.###..#..##..#.#.#..###.#.#.####.##........#.###.###....######..#.####.#.##....##.###..#.####..#####..#.#..#.#.###.##..##.#.#.##.##.###..#..##..#.#.#..###.#.#.####.##........#.###.###....######..#.####.#.##....##.###..#.####..#####..#.#..#.#.###.##..##.#.#.##.##.###..#..##..#.#.#..###.#.#.####.##........#.###.###....######..#.####.#.##....##.###..#.####..#####..#.#..#.#.###.##..##.#.#.##.##.###..#..##..#.#.#..###.#.#.####.##........#.###.###....######..#.####.#.##....##.###..#.##
.#..#....#.##...##...##.#..###.#.#...######...#.#.##.#...#..#...###.#......##.#.#..#.#.#.#.#.....#.####..##.#.#.....###..##..###.##..#.##..##..#.##...#######.#...#..#####..#.######..###..#....##.##...#..#..##..#...##.#...#..##.###.#..#.......###.#...#.####....#.#..#.#.#.#.##..##.#..##..#.##....#.#..#..##....##.#.##.##..#.##.#.#####.......##.####..#..#.#...##.####...###..###.#...#.####....#.#..#.#.#.#.##..##.#..##..#.##....#.#..#..##....##.#.##.##..#.##.#.#####.......##.####..#..#.#...##.####...###..###.#...#.####....#.#..#.#.#.#.##..##.#..##..#.##....#.#..#..##....##.#.##.##..#.##.#.#####.......##.####..#..#.#...##.####...###..###.#...#.####....#.#..#.#.#.#.##..##.#..##..#.##....#.#..#..##....##.#.##.##..#.##.#.#####.......##.####..#..#.#...##.####...###..###.#...#.####....#.#..#.#.#.#.##..##.#..##..#.##....#.#..#..##....##.#.##.##..#.##.#.#####.......##.####..#..#.#...##.####...###..#####...#.####....#.#..#.#.#.#.##..##.#..##..#.##....#.#..#..##....##.#.##.##..#.##.#.#####.......##.##
#.#..#.#..##....#...###..#.#..##..##..####.#..#.#...#.###..#..##...#.######..##..##.#.###.##.##..#..##.#.#.######......##.....#.#..#..#..##.##...###.######.#.#...###.....####.#.#.###...#.#.##.##..#.#...#..####....#.#.###.#..####.##.#.#.#...#.....####..##..#..###.##.#.......##.....##..#..#..##...#........##..#..##..#..##.######.....#.###.#...#.#####.##.##.###..###.#...#......####..##..#..###.##.#.......##.....##..#..#..##...#........##..#..##..#..##.######.....#.###.#...#.#####.##.##.###..###.#...#......####..##..#..###.##.#.......##.....##..#..#..##...#........##..#..##..#..##.######.....#.###.#...#.#####.##.##.###..###.#...#......####..##..#..###.##.#.......##.....##..#..#..##...#........##..#..##..#..##.######.....#.###.#...#.#####.##.##.###..###.#...#......####..##..#..###.##.#.......##.....##..#..#..##...#........##..#..##..#..##.######.....#.###.#...#.#####.##.##.###..###.#...#......####..##..#..###.##.#.......##.....##..#..#..##...#........##..#..##..#..##.######.....#.###.#...#.
##.#..###...#..#####.##.####..#.......##.##...#.##..#...#####.#..#..####.##.#.#....#####..#.###..#.#.#####...#....##.##.#...##..#.####.##.##.#.##...#.#.##.#...#..#..###..####..##.########.#.........#..#....##.#..##..#..####........#........##.##.......#...........#...####....#...###.#...##...###.#..#.#########.#.##.##.#...#.##..#.#.....#...#.###.#.##...##.#.####.#.#...##.##.......#...........#...####....#...###.#...##...###.#..#.#########.#.##.##.#...#.##..#.#.....#...#.###.#.##...##.#.####.#.#...##.##.......#...........#...####....#...###.#...##...###.#..#.#########.#.##.##.#...#.##..#.#.....#...#.###.#.##...##.#.####.#.#...##.##.......#...........#...####....#...###.#...##...###.#..#.#########.#.##.##.#...#.##..#.#.....#...#.###.#.##...##.#.####.#.#...##.##.......#...........#...####....#...###.#...##...###.#..#.#########.#.##.##.#...#.##..#.#.....#...#.###.#.##...##.#.####.#.#...##.##.......#...........#...####....#...###.#...##...###.#..#.#########.#.##.##.#...#.##..#.#.....#...#.#
#.#...#..##...#.#.##.#.#.#..#####..##..#...####..#.....####....#.#...#...####.#.#..#..#...##.####..##...#.##...###.#......#.##.####.#.....######.....##.......##.##..##.##.#.#########..####...###..##..##..#.#..##.##..#...##.#.#..#.##.#..#####.#.#.#.##.#.##.#....##..##....#.##...#...##...#.#.#.#.#.##.##.#..######.#...#...#....#######..##.##.#....###...##.###..#....#.#...#.#.#.#.##.#.##.#....##..##....#.##...#...##...#.#.#.#.#.##.##.#..######.#...#...#....#######..##.##.#....###...##.###..#....#.#...#.#.#.#.##.#.##.#....##..##....#.##...#...##...#.#.#.#.#.##.##.#..######.#...#...#....#######..##.##.#....###...##.###..#....#.#...#.#.#.#.##.#.##.#....##..##....#.##...#...##...#.#.#.#.#.##.##.#..######.#...#...#....#######..##.##.#....###...##.###..#....#.#...#.#.#.#.##.#.##.#....##..##....#.##...#...##...#.#.#.#.#.##.##.#..######.#...#...#....#######..##.##.#....###...##.###..#....#.#...#.#.#.#.##.#.##.#....##..##....#.##...#...##...#.#.#.#.#.##.##.#..######.#...#...#....#######..##.##.#...
.######...#.#.......#.#.##....#.#.###..#.##....#...##.###..#####.#...#######.#...#.#...#..#....####.#...##...#..#..###..###...##.##....#......###.#...#....##.#.#.##.#..#.##.#.....#..#...##..#...###.##...#...#.#####..#.###.....##...##.#.##.#...#..#.....###..##.##..#..#.###.##.###..#######.#...#...###.####.#.#.#..#.#.#......#.#.....####..####...##.....#......#.##..#.....#..#..#.....###..##.##..#..#.###.##.###..#######.#...#...###.####.#.#.#..#.#.#......#.#.....####..####...##.....#......#.##..#.....#..#..#.....###..##.##..#..#.###.##.###..#######.#...#...###.####.#.#.#..#.#.#......#.#.....####..####...##.....#......#.##..#.....#..#..#.....###..##.##..#..#.###.##.###..#######.#...#...###.####.#.#.#..#.#.#......#.#.....####..####...##.....#......#.##..#.....#..#..#.....###..##.##..#..#.###.##.###..#######.#...#...###.####.#.#.#..#.#.#......#.#.....####..####...##.....#......#.##..#...#.#..#..#.....###..##.##..#..#.###.##.###..#######.#...#...###.####.#.#.#..#.#.#......#.#.....####..####...
.....#..###.##...#..##.##.#...#..##...#....##.....#..#..###..#........##..#####.####.###..#####.##..#####....#.#.#.#.#...#........####..#..#.##.##.#.#.##.#...##.###.#..##.##..##...###.....#..#...#....#.#...#.#.#.#.....#.#.#.###.#.#.#####..#.##.#..###..##..#.#.##..#####.#.#..###..##.###.#.....#####....#.##.##.##.##...#.#.###..###....######.#..#.#.#.#.#...#.#....#.#.#.##.##.#..###..##..#.#.##..#####.#.#..###..##.###.#.....#####....#.##.##.##.##...#.#.###..###....######.#..#.#.#.#.#...#.#....#.#.#.##.##.#..###..##..#.#.##..#####.#.#..###..##.###.#.....#####....#.##.##.##.##...#.#.###..###....######.#..#.#.#.#.#...#.#....#.#.#.##.##.#..###..##..#.#.##..#####.#.#..###..##.###.#.....#####....#.##.##.##.##...#.#.###..###....######.#..#.#.#.#.#...#.#....#.#.#.##.##.#..###..##..#.#.##..#####.#.#..###..##.###.#.....#####....#.##.##.##.##...#.#.###..###....######.#..#.#.#.#.#...#.#....#.#.#.##.##.#..###..##..#.#.##..#####.#.#..###..##.###.#.....#####....#.##.##.##.##...#.#.###..###....######.#..#
...#.###.###...###.##.##.#.##...##..##...##...##.###.......#...####.####.#.#.##..#..#####.#....###.##.#.#.##.###.########.###..##.##.....##.#....#########.##..#.####.#.####..####...##.#..#..#..##.#..#########.#....#.###.####....#.###..#..#.##.....#..#.#....###..#....#.#.#..#..##..#..#.#..##..#....#.###.#.#######..##.##.#.#...#.#....##..#.##..#.#########..#.#.##.....#.#.#.....#..#.#....###..#....#.#.#..#..##..#..#.#..##..#....#.###.#.#######..##.##.#.#...#.#....##..#.##..#.#########..#.#.##.....#.#.#.....#..#.#....###..#....#.#.#..#..##..#..#.#..##..#....#.###.#.#######..##.##.#.#...#.#....##..#.##..#.#########..#.#.##.....#.#.#.....#..#.#....###..#....#.#.#..#..##..#..#.#..##..#....#.###.#.#######..##.##.#.#...#.#....##..#.##..#.#########..#.#.##.....#.#.#.....#..#.#....###..#....#.#.#..#..##..#..#.#..##..#....#.###.#.#######..##.##.#.#...#.#....##..#.##..#.#########..#.#.##.....#.#.#.....#..#.#....###..#....#.#.#..#..##..#..#.#..##..#....#.###.#.#######..##.##.#.#...#.#....##..#.##..#
..######.##...#.##.#####.#.....#.##.##..##...##..#...##..#..##..#.#..##.###..##.##..##..#.#.#.#.......##..#####.###.###.#.##....#..####..##..##.....#...#..#..###....#...#####...#.#...######.##.#..#...##..##..##.#..##.####.#..#..#..#...###..#.##..#.##.#...###.#.##.#.#.#####.##...###.......##.##..##.#..###...#.########......#......#.....###...##..#...##..###.#..#....##.##.##..#.##.#...###.#.##.#.#.#####.##...###.......##.##..##.#..###...#.########......#......#.....###...##..#...##..###.#..#....##.##.##..#.##.#...###.#.##.#.#.#####.##...###.......##.##..##.#..###...#.########......#......#.....###...##..#...##..###.#..#....##.##.##..#.##.#...###.#.##.#.#.#####.##...###.......##.##..##.#..###...#.########......#......#.....###...##..#...##..###.#..#....##.##.##..#.##.#...###.#.##.#.#.#####.##...###.......##.##..##.#..###...#.########......#......#.....###...##..#...##..###.#..#....##.##.##..#.##.#...###.#.##.#.#.#####.##...###.......##.##..##.#..###...#.########......#......#.....###...##
.##.#.##.#....##...#..#...#.##..###..#.##.##.#..##.###...#.#..###...#...#...######.##.##......#.#.##...#.####.###..##..##.#.######...#.###.#..###..######..#.#.#.##...#..##.#.#..#.##..#...###....#.#...#.#.##.#.#..##.###...##.##...#.#.###..#......##....#.#.##..###.#...#.##.####.....###..##.#.#.##.##.####..###....#...###....#.###.#...#...##....##..#..##.......#.#####.#.#.#....##....#.#.##..###.#...#.##.####.....###..##.#.#.##.##.####..###....#...###....#.###.#...#...##.#..##..#..##.......#.#####.#.#.#....##....#.#.##..###.#...#.##.####.....###..##.#.#.##.##.####..###....#...###....#.###.#...#...##....##..#..##.......#.#####.#.#.#....##....#.#.##..###.#...#.##.####.....###..##.#.#.##.##.####..###....#...###....#.###.#...#...##....##..#..##.......#.#####.#.#.#....##....#.#.##..###.#...#.##.####.....###..##.#.#.##.##.####..###....#...###....#.###.#...#...##....##..#..##.......#.#####.#.#.#....##....#.#.##..###.#...#.##.####.....###..##.#.#.##.##.####..###....#...###....#.###.#...#...##....##
.###########.#.#..#####.#...#####..##...#.#....####.##.#.##.#.####.#.....#####..####.#.##..#...#.###.##.#..###.#.######..###..........#.#...##.....#.......####..##...##.##.##...#.##.....##.######..#...#######.#....#...#..#.######.####.#....#.###.#.#....#....#.##.#..#....###..##..#.##.#....#.###.#..#####..##...#.#...###.##...####..#...###.####.....#.#.##.#....#.#.###.....###.#.#....#....#.##.#..#....###..##..#.##.#....#.###.#..#####..##...#.#...###.##...####..#...###.####.....#.#.##.#....#.#.###.....###.#.#....#....#.##.#..#....###..##..#.##.#....#.###.#..#####..##...#.#...###.##...####..#...###.####.....#.#.##.#....#.#.###.....###.#.#....#....#.##.#..#....###..##..#.##.#....#.###.#..#####..##...#.#...###.##...####..#...###.####.....#.#.##.#....#.#.###.....###.#.#....#....#.##.#..#....###..##..#.##.#....#.###.#..#####..##...#.#...###.##...####..#...###.####.....#.#.##.#....#.#.###.....###.#.#....#....#.##.#..#....###..##..#.##.#....#.###.#..#####..##...#.#...###.##...####..#...###.####.
#..#..##.#.......##....#..####..#.#..###.####..#####.....##.###..##.#..####..#.######.#.#.#####.#.#.#.#.##.##.#...#.#.#...##.##.#.......##...#.#..###...##....#.##.#.#.#..#...###.....##.####...#...##.####..##.#..#..#..##..##.#.###....##..#..#..#..###..##....##..##.#.....#..#..#.#.##.##.##.##.#.###..#######..#.#.##.#........##....###.##.#..##.#.#.#.#.###.##.###.###.#.##.#..#..###..##....##..##.#.....#..#..#.#.##.##.##.##.#.###..#######..#.#.##.#........##....###.##.#..##.#.#.#.#.###.##.###.###.#.##.#..#..###..##....##..##.#.....#..#..#.#.##.##.##.##.#.###..#######..#.#.##.#........##....###.##.#..##.#.#.#.#.###.##.###.###.#.##.#..#..###..##....##..##.#.....#..#..#.#.##.##.##.##.#.###..#######..#.#.##.#........##....###.##.#..##.#.#.#.#.###.##.###.###.#.##.#..#..###..##....##..##.#.....#..#..#.#.##.##.##.##.#.###..#######..#.#.##.#........##....###.##.#..##.#.#.#.#.###.##.###.###.#.##.#..#..###..##....##..##.#.....#..#..#.#.##.##.##.##.#.###..#######..#.#.##.#........##....###.##.#..##.#.
##.#.##..###...#.....#..###.########.##..####..######....#.#######..#...#..#.#.#..#.#.#....#..#.#.##.#.#.#....##..##....#.###...#.#.##########...#.#.#####.##.##.#####....#.##....#..#.......##...##....##..#.####..#.#.###..#...#.##.#...#.#######.#.#.###.####...#.###.#.#.#..#..#.###..##..#.#.##.#...#..##.#....#.#.##.#..##.##.#..#.#.......#####...#..####.#.#####..#...##...###.#.#.###.####...#.###.#.#.#..#..#.###..##..#.#.##.#...#..##.#....#.#.##.#..##.##.#..#.#.......#####...#..####.#.#####..#...##...###.#.#.###.####...#.###.#.#.#..#..#.###..##..#.#.##.#...#..##.#....#.#.##.#..##.##.#..#.#.......#####.#.#..####.#.#####..#...##...###.#.#.###.####...#.###.#.#.#..#..#.###..##..#.#.##.#...#..##.#....#.#.##.#..##.##.#..#.#.......#####...#..####.#.#####..#...##...###.#.#.###.####...#.###.#.#.#..#..#.###..##..#.#.##.#...#..##.#....#.#.##.#..##.##.#..#.#.......#####...#..####.#.#####..#...##...###.#.#.###.####...#.###.#.#.#..#..#.###..##..#.#.##.#...#..##.#....#.#.##.#..##.##.#..#.#.......#####...
.#.#.###....#.##..#.#..##.##.#.#..#####.....#.##.#.###...######.#.#.####....#####.#..###..##..##########..#.###.###.#..#.#.#.....##.####.##.##.#.....##.###.##...#..#..###....##.#..###.#...#..##..#..##.#.####.##.######..#.####.##.##..#.#.######.##.###.#.##...##..#.#...##.#.##....###....#.###.##..#...##..##..#.##..#.######...#.#..##.##.......#.#.####..####.###.##..##....###.##.###.#.##...##..#.#...##.#.##....###....#.###.##..#...##..##..#.##..#.######...#.#..##.##.......#.#.####..####.###.##..##....###.##.###.#.##...##..#.#...##.#.##....###....#.###.##..#...##..##..#.##..#.######...#.#..##.##.......#.#.####..####.###.##..##....###.##.###.#.##...##..#.#...##.#.##....###....#.###.##..#...##..##..#.##..#.######...#.#..##.##.......#.#.####..####.###.##..##....###.##.###.#.##...##..#.#...##.#.##....###....#.###.##..#...##..##..#.##..#.######...#.#..##.##.......#.#.####..####.###.##..##....###.##.###.#.##...##..#.#...##.#.##....###....#.###.##..#...##..##..#.##..#.######...#.#..##.##.......#.#
##..##...##..######.###...####......###.#......##..##..###.#####.#.#..#..#..####....#.#..........#.##..#####..#..######..#.##..#..#..#.####.####....#...#..##......###.##..###...##.#....#..#.#..#####.....#....##..#..#####.#...#...#.###.##.##.#.#####..##.#.##..##..####.#.#.##....##...#..##.#..#....##..#.#..###..#..#...#.#.#.##.#...###.#.####..#.##.#...#...#.#...###.#.#####.#####..##.#.##..##..####.#.#.##....##...#..##.#..#....##..#.#..###..#..#...#.#.#.##.#...###.#.####..#.##.#...#..##.#...###.#.#####.#####..##.#.##..##..####.#.#.##....##...#..##.#..#....##..#.#..###..#..#...#.#.#.##.#...###.#.####..#.##.#...#...#.#...###.#.#####.#####..##.#.##..##..####.#.#.##....##...#..##.#..#....##..#.#..###..#..#...#.#.#.##.#...###.#.####..#.##.#...#...#.#...###.#.#####.#####..##.#.##..##..####.#.#.##....##...#..##.#..#....##..#.#..###..#..#...#.#.#.##.#...###.#.####..#.##.#...#...#.#...###.#.#####.#####..##.#.##..##..####.#.#.##....##...#..##.#..#....##..#.#..###..#..#...#.#.#.##.#...###.#.####..#.
.##.#####..#..##.########.##..##..#.#..#..##..#.....#..##.#.....#####....#.#####.###...##.#.#.#....##.#.##.#.#.....##.##########.####.#..##.#...#.###..#.####..#....###.#..##...#...#.###...#..#.####..#..#.##.###.##..#..#..#.#.#.####...#.#.###.##..####.#.##..##........##.....#...#...###....#.####..##.....##...#.......###.#.#.......##..###..#....#...#..##.#.#..##..##..###..##..####.#.##..##........##.....#...#...###....#.####..##.....##...#.......###.#.#.......##..###..#....#...#..##.#.#..##..##..###..##..####.#.##..##........##...#.#...#...###....#.####..##.....##...#.......###.#.#.......##..###..#....#...#..##.#.#..##..##..###..##..####.#.##..##........##.....#...#...###....#.####..##.....##...#.......###.#.#.......##..###..#....#...#..##.#.#..##..##..###..##..####.#.##..##........##.....#...#...###....#.####..##.....##...#.......###.#.#.......##..###..#....#...#..##.#.#..##..##..###..##..####.#.##..##........##.....#...#...###....#.####..##.....##...#.......###.#.#.......##..###..#....
#####....#.#......###.#.#..##...##.###....###.######..#.#..##.##.###..#####..##..#.######.####.#..#.##...#..#.#..###..#....##.#..#.##.#.######...#.##.###.#..##.#.##...#..##.##.#..###.##.#.##.###..##.#...######.###.#.##.#......#..######...#..##.##.#.#..###.#..#.....#.#...##...######.##.###.#.#.###...#..#..#......##.###.#.##.####..#.####.#.#.#..#.###..#.#.#.####..##.#######.##.#.#..###.#..#.....#.#...##...######.##.###.#.#.###...#..#..#......##.###.#.##.####..#.####.#.#.#..#.###..#.#.#.####..##.#######.##.#.#..###.#..#.....#.#...##...######.##.###.#.#.###...#..#..#......##.###.#.##.####..#.####.#.#.#..#.###..#.#.#.####..##.#######.##.#.#..###.#..#.....#.#...##...######.##.###.#.#.###...#..#..#......##.###.#.##.####..#.####.#.#.#..#.###..#.#.#.####..##.#######.##.#.#..###.#..#.....#.#...##.#.######.##.###.#.#.###...#..#..#......##.###.#.##.####..#.####.#.#.#..#.###..#.#.#.####..##.#######.##.#.#..###.#..#.....#.#...##...######.##.###.#.#.###...#..#..#......##.###.#.##.####..#.####.#.#.#..
.#.#...##..##....###..#..##.#.##...#.#..#..##.##...#####.......#...#...###.###..#.##.#.####.#..#..####..#.#..#.#.#..####.##.#.##.#..#.#.##..#.#..##...##.##.#..###.#.##.#....#....#####.#...########..###.##....#..#####.#.#..#..#.#.####.####.#.#...###.....###.#.#.#..#######.#.#...#.##.###.#....#..##.##..###...##.##..#...#.#....#.#.#.##.##.###..###.####.##..#...#.....#..##.#...###.....###.#.#.#..#######.#.#...#.##.###.#....#..##.##..###...##.##..#...#.#....#.#.#.##.##.###..###.####.##..#...#.....#..##.#...###.....###.#.#.#..#######.#.#...#.##.###.#....#..##.##..###...##.##..#...#.#....#.#.#.##.##.###..###.####.##..#...#.....#..##.#...###.....###.#.#.#..#######.#.#...#.##.###.#....#..##.##..###...##.##..#...#.#....#.#.#.##.##.###..###.####.##..#...#.....#..##.#...###.....###.#.#.#..#######.#.#...#.##.###.#....#..##.##..###...##.##..#...#.#....#.#.#.##.##.###..###.####.##..#...#.....#..##.#...###.....###.#.#.#..#######.#.#...#.##.###.#....#..##.##..###...##.##..#...#.#....#.#.#.##.##.###..##
#.#.###...#.######.#.##..###.####.#..##..##.#.####.#.##..#..#.......#..#.##...##.....#.#..#....##.#..##.#.###.#...###.#....##.#.#..##.###.#.##....#...####..#..##.#####.###.####..######....#.####.####..#....#.#.######.##..#####.##.##.#.###..###..#....##..#.....##.##.####.##.##......#...##......##..##.##..#.##..###.....#...####....###..##.#..##..##..#.#.#..##.#####.##.#..##..#....##..#.....##.##.####.##.##......#...##......##..##.##..#.##..###.....#...####....###..##.#..##..##..#.#.#..##.#####.##.#..##..#....##..#.....##.##.####.##.##......#...##......##..##.##..#.##..###.....#...####....###..##.#..##..##..#.#.#..##.#####.##.#..##..#....##..#.....##.##.####.##.##......#...##......##..##.##..#.##..###.....#...####....###..##.#..##..##..#.#.#..##.#####.##.#..##..#....##..#.....##.##.####.##.##......#...##......##..##.##..#.##..###.....#...####....###..##.#..##..##..#.#.#..##.#####.##.#..##..#....##..#.....##.##.####.##.##......#...##......##..##.##..#.##..###.....#...####....###..##.#..##.
#....#..#...######.##.....####..#.#.#......#..#.#...#...##..#.#####.#..##..#.#####...#...###.#...####..#..#.#.#.#.#......##..#.##.#.##.###....#.#...###..#.#.#.###.#.#.###..####.####.##...########.####.#..#..####..#..##....#..####..#....#.#..#.#######..#.##.....#.####.##.###.....#..#########..#.##..#..#.#..#..##...##..#.##.####..###.#######..#..#.##..#...#.####..##.#..###.#######..#.##.....#.####.##.###.....#..#########..#.##..#..#.#..#..##...##..#.##.####..###.#######..#..#.##..#...#.####..##.#..###.#######..#.##.....#.####.##.###.....#..#########..#.##..#..#.#..#..##...##..#.##.####..###.#######..#..#.##..#...#.####..##.#..###.#######..#.##.....#.####.##.###.....#..#########..#.##..#..#.#..#..##...##..#.##.####..###.#######..#..#.##..#...#.####..##.#..###.#######..#.##.....#.####.##.###.....#..#########..#.##..#..#.#..#..##...##..#.##.####..###.#######..#..#.##..#...#.####..##.#..###.#######..#.##.....#.####.##.###.....#..#########..#.##..#..#.#..#..##...##..#.##.####..###.#######..#.
......####....#........##..#..#.#.##.#....#.##.##..#.##.##.###.##.###.##.##...##.#....##.##.#.##.#.##.##..#..#.#.######...#####..#.###.#..#.##....#..#.####...###.#....###.#...#..#...###.##.......##.#...#.#..#####.#.#..#..##......####..#..###...####.##.#####.#.###..#.###.##...####.##..#.....#..#.###..#.###...###.###...##...#..###..#.##.#.##.##.###.##....##.##.###.#..#......####.##.#####.#.###..#.###.##...####.##..#.....#..#.###..#.###...###.###...##...#..###..#.##.#.##.##.###.##....##.##.###.#..#......####.##.#####.#.###..#.###.##...####.##..#.....#..#.###..#.###...###.###...##...#..###..#.##.#.##.##.###.##....##.##.###.#..#......####.##.#####.#.###..#.###.##...####.##..#.....#..#.###..#.###...###.###.#.##...#..###..#.##.#.##.##.###.##....##.##.###.#..#......####.##.#####.#.###..#.###.##...####.##..#.....#..#.###..#.###...###.###...##...#..###..#.##.#.##.##.###.##....##.##.###.#..#......####.##.#####.#.###..#.###.##...####.##..#.....#..#.###..#.###...###.###...##...#..###..#.##.#.##.##.
##...#.#.##..#..###.#.......##.##..##.######.#....###..##..##.#..###........###.##...#.####.##...#.#.###.#.#.#...#.#####.#..#.........#....#...#.##........#.#..#.#..###.#.......###...#..##.###.##......##########......###.....#...#..##.#.#...#....##.#.##.##.##.#.##.#..####....#.##.#####.#..#####....##..####..####.##.#.##.######..#.....##.##.####..#.#..##.##...#########.##....##.#.##.##.##.#.##.#..####....#.##.#####.#..#####....##..####..####.##.#.##.######..#.....##.##.####..#.#..##.##...#########.##....##.#.##.##.##.#.##.#..####....#.##.#####.#..#####....##..####..####.##.#.##.######..#.....##.##.####..#.#..##.##...#########.##....##.#.##.##.##.#.##.#..####....#.##.#####.#..#####....##..####..####.##.#.##.######..#.....##.##.####..#.#..##.##...#########.##....##.#.##.##.##.#.##.#..####....#.##.#####.#..#####....##..####..####.##.#.##.######..#.....##.##.####..#.#..##.##...#########.##....##.#.##.##.##.#.##.#..####....#.##.#####.#..#####....##..####..####.##.#.##.######..#.....##.##.###
.#####....#.#..#.#..##..##.##..##..###.##.##.##.##..######.####.#.######.#.##.###..#...##....####...###.####..#..##.##..###..#..##.#.######.#.#..#####..#.######.#..#.###.#..##..#..###..#........#..#.#..###...###.#####.##.#.#..#..####.#..#.##...##..###..#.#.#..#..#.#.##..###.#.#...#..#..##.##..####.##...#.#..#####.....#.####.#.#.#..###..#########.#...##......#.#...##.##....##..###..#.#.#..#..#.#.##..###.#.#...#..#..##.##..####.##...#.#..#####.....#.####.#.#.#..###..#########.#...##......#.#...##.##....##..###..#.#.#..#..#.#.##..###.#.#...#..#..##.##..####.##...#.#..#####.....#.####.#.#.#..###..#########.#...##......#.#...##.##....##..###..#.#.#..#..#.#.##..###.#.#...#..#..##.##..####.##...#.#..#####.....#.####.#.#.#..###..#########.#...##......#.#...##.##....##..###..#.#.#..#..#.#.##..###.#.#...#..#..##.##..####.##...#.#..#####.....#.####.#.#.#..###..#########.#...##......#.#...##.##....##..###..#.#.#..#..#.#.##..###.#.#...#..#..##.##..####.##...#.#..#####.....#.####.#.#.#..###..#######
##.#.###.#.#.#.#.#...#.####.#..#...#..#.###.##...##.####.##..####.#..##.###....##.###...#.###..###.#..#.###.#.#..#####.####.#...##.#....#..#..#.###.##.#.....##...##....#..#.###.###..##.##.#..#....####..#.#####...#.#.#.##.####.#..###.##..###.##.#.##.#..#.##.###..##..####.#.....#..#####.#..######.#####.#...#.##.####....#######.#..#...###.##..###.####...#..#...###.#..#...###.#.##.#..#.##.###..##..####.#.....#..#####.#..######.#####.#...#.##.####....#######.#..#...###.##..###.####...#..#...###.#..#...###.#.##.#..#.##.###..##..####.#.....#..#####.#..######.#####.#...#.##.####....#######.#..#...###.##..###.####...#..#...###.#..#...###.#.##.#..#.##.###..##..####.#.....#..#####.#..######.#####.#...#.##.####....#######.#..#...###.##..###.####...#..#...###.#..#...###.#.##.#..#.##.###..##..####.#.....#..#####.#..######.#####.#...#.##.####....#######.#..#...###.##..###.####...#..#...###.#..#...###.#.##.#..#.##.###..##..####.#.....#..#####.#..######.#####.#...#.##.####....#######.#..#...###.##..###
###.#..##.##.##...##.#.##..##.#.##..#.##..#.#####...###.#..#..######.#..#.#.###.##..........###..##.#.#.....##.####.###.#####.##..#.#....#...##......#######.###.#...#..#.....##.##.#.#.##.##..#.###.###..##.....#.#.##.#...##.#..###.#..##.##...#...#.#.....#..##.#.#.##.##...###.....##...##..#.##.#..#.####...#...##..###..#..###..####.#.#..##.#.#..#...#...##...#..#.##..#.#.#.#...#.#.....#..##.#.#.##.##...###.....##...##..#.##.#..#.####...#...##..###..#..###..####.#.#..##.#.#..#...#...##...#..#.##..#.#.#.#...#.#.....#..##.#.#.##.##...###.....##...##..#.##.#..#.####...#...##..###..#..###..####.#.#..##.#.#..#...#...##...#..#.##..#.#.#.#...#.#.....#..##.#.#.##.##...###.....##...##..#.##.#..#.####...#...##..###..#..###..####.#.#..##.#.#..#...#...##...#..#.##..#.#.#.#...#.#.....#..##.#.#.##.##...###.....##...##..#.##.#..#.####...#...##..###..#..###..####.#.#..##.#.#..#...#...##...#..#.##..#.#.#.#...#.#.....#..##.#.#.##.##...###.....##...##..#.##.#..#.####...#...##..###..#..###..####.#.#..##.#.#..#
...##..#.######.......##.##....####.#####.#.....#.##..#..#.###.#..#.#####....###.####.......##.###..#..#.##.....##..#..#.#..##.....##...#.##...#....######.#.#######.###.#..##.#.###...##..##.###.#####..#..###.###.....###..#......#..###.##...#..#.##.##..#####.#.#.########....#.##.....#..#.##.#......#.....##..#....##..##.#.#.##.####.#......#.##...#..##...##.#####.#..#####...#.##.##..#####.#.#.########....#.##.....#..#.##.#......#.....##..#....##..##.#.#.##.####.#......#.##...#..##...##.#####.#..#.###...#.##.##..#####.#.#.########....#.##.....#..#.##.#......#.....##..#....##..##.#.#.##.####.#......#.##...#..##...##.#####.#..#.###...#.##.##..#####.#.#.########....#.##.....#..#.##.#......#.....##..#....##..##.#.#.##.####.#......#.##...#..##...##.#####.#..#.###...#.##.##..#####.#.#.########....#.##.....#..#.##.#......#.....##..#....##..##.#.#.##.####.#......#.##...#..##...##.#####.#..#.###...#.##.##..#####.#.#.########....#.##.....#..#.##.#......#.....##..#....##..##.#.#.##.####.#......#.##..
..##..####.#.##.##..##.#..#.###.#..#.#..#.#.##.#..#.##...####....#.###..#...#.#...#.##..######.##....#.##...#.##.#...##...##.######.##.##.###..#.#######.#......#.##.##.#.....#....#..#..#.#..##.#...#.##.#......####.....#.###.###.#.#.##.####.#.#.#######....#.#.....#.#....###..###..#.#..######.##.#####..#.###.####..#..##..#...#...#..#..#.#####..##.####.#.#..#.#.#####..#..#.#.#######....#.#.....#.#....###..###..#.#..######.##.#####..#.###.####..#..##..#...#...#..#..#.#####..##.####.#.#..#.#.#####..#..#.#.#######....#.#.....#.#....###..###..#.#..######.##.#####..#.###.####..#..##..#...#...#..#..#.#####..##.####.#.#..#.#.#####..#..#.#.#######....#.#.....#.#....###..###..#.#..######.##.#####..#.###.####..#..##..#...#...#..#..#.#####..##.####.#.#..#.#.#####..#..#.#.#######....#.#.....#.#....###..###..#.#..######.##.#####..#.###.####..#..##..#...#...#..#..#.#####..##.####.#.#..#.#.#####..#..#.#.#######....#.#.....#.#....###..###..#.#..######.##.#####..#.###.####..#..##..#...#...#..#..#.#####..#
#.#.#..#.##..##......#.###.###..######...#...####..##.##.#..#..............#...#..###..######.........#..##.#.###....#.##.#######..##.#.##..##.######.#..#..####.#.#..##...#.#.##.##.####.###.####.#.##.##..#..####.#...#.####.#.......#.#...###.#..#..##...##..#..##.#.#.#..#...#..#####.##....##....#..#.#...#..#.##..##..#..#..#......#...###..####.#.###.##.###....#.##..#..#..##..#..##...##..#..##.#.#.#..#...#..#####.##....##....#..#.#...#..#.##..##..#..#..#......#...###..####.#.###.##.###....#.##..#..#..##..#..##...##..#..##.#.#.#..#...#..#####.##....##....#..#.#...#..#.##..##..#..#..#......#...###..####.#.###.##.###....#.##..#..#..##..#..##...##..#..##.#.#.#..#...#..#####.##....##....#..#.#...#..#.##..##..#..#..#......#...###..####.#.###.##.###....#.##..#..#..##..#..##...##..#..##.#.#.#..#...#..#####.##....##....#..#.#...#..#.##..##..#..#..#......#...###..####.#.###.##.###....#.##..#..#..##..#..##...##..#..##.#.#.#..#...#..#####.##....##....#..#.#...#..#.##..##..#..#..#......#...###..####.#.
##..##.##.##.#....#...#.##..##..###..#........####.#.#####....##..##.#..#....#....#..#...##.##..#.#.###....#..#...#..#####.##.#.#.##.###..#..#..##....#.##..###.#..#..#########.##..#..#.##.#...######..##.#####.#.##......###.#######.#..#.#..#.#..#####.####.#...##.#....##.##.#...#.########.###.##.....##...###.####.#####.#....#####.#.####..####.###.#.#.##..###......##.#.#..#..#####.####.#...##.#....##.##.#...#.########.###.##.....##...###.####.#####.#....#####.#.####..####.###.#.#.##..###......##.#.#..#..#####.####.#...##.#....##.##.#...#.########.###.##.....##...###.####.#####.#....#####.#.####..####.###.#.#.##..###......##.#.#..#..#####.####.#...##.#....##.##.#...#.########.###.##.....##...###.####.#####.#....#####.#.####..####.###.#.#.##..###......##.#.#..#..#####.####.#...##.#....##.##.#...#.########.###.##.....##...###.####.#####.#....#####.#.####..####.###.#.#.##..###......##.#.#..#..#####.####.#...##.#....##.##.#...#.########.###.##.....##...###.####.#####.#....#####.#.####..####.##
#.#..###...#....#...#..##.#..###..#.#..#.#.#.#..###....#.....#..#.#......#..#.####..###.#.###.##..##.....#.###.#.###.#....##.....##....#..#.#......##..#..##.###..##......##.##.#..###.#####.##..###..###.##.#....##..##...#....#.###.....##.#..#...##.###.#####.....#.....#.....##.....###.#.#...#####.#.#.........#.#..####.##..#..##.#.#..#.###.##.#....#....#.....##.####.#####....##.###.#####.....#.....#.....##.....###.#.#...#####.#.#.........#.#..#.##.##..#..##.#.#..#.###.##.#....#....#.....##.####.#####....##.###.#####.....#.....#.....##.....###.#.#...#####.#.#.........#.#..#.##.##..#..##.#.#..#.###.##.#....#....#.....##.####.#####....##.###.#####.....#.....#.....##.....###.#.#...#####.#.#.........#.#..#.##.##..#..##.#.#..#.###.##.#....#....#.....##.####.#####....##.###.#####.....#.....#.....##.....###.#.#...#####.#.#.........#.#..#.##.##..#..##.#.#..#.###.##.#....#....#.....##.####.#####....##.###.#####.....#.....#.....##.....###.#.#...#####.#.#.........#.#..#.##.##..#..##.#.#..#.###.##.#..
..#####.#.#..#.#..#.###...#...#.#.#..########.###.##.###....#######..#......#..##.##.##.#..##.##.#.#..#....###....#.###.#.#.##.##.#..##..###.####.#.##.........#..#.#..#.#..##.###.....###..#.###.#.#..###.#...#####.##......###.#..#...##..#..#..####.#..###..####...##....###.#.###..###..#...##.#..#.##.#.#######.##...#...#..####..####..###..#.........##.##########..##.###.##.####.#..###..####...##....###.#.###..###..#...##.#..#.##.#.#######.##...#...#..####..####..###..#.........##.##########..##.###.##.####.#..###..####...##....###.#.###..###..#...##.#..#.##.#.#######.##...#...#..####..####..###..#.........##.##########..##.###.##.####.#..###..####...##....###.#.###..###..#...##.#..#.##.#.#######.##...#...#..####..####..###..#.........##.##########..##.###.##.####.#..###..####...##....###.#.###..###..#...##.#..#.##.#.#######.##...#...#..####..####..###..#.........##.##########..##.###.##.####.#..###..####...##....###.#.###..###..#...##.#..#.##.#.#######.##...#...#..####..####..###..#......
.##.#.###.#....#.####..#.#......#.#.#......#.#..#.....#####.#..#.#.##..##.####...#.##..##.#...##....#.....##...##.##.....#...###.#.#####..#.###...#.#..#...#..##.###########.#.##.##.##.##..#.##.....##....#....##.##..#.......##.##...#.#...#.#.#.##..###..###.#..###.#####.##...######.#.##..####.#.#.###.###.##.#.....#.##.##.##.#.#.##...#..##.#####...#.####.##.#.#..#.#.......#.##..###..###.#..###.#####.##...######.#.##..####.#.#.###.###.##.#.....#.##.##.##.#.#.##...#..##.#####...#.####.##.#.#..#.#.......#.##..###..###.#..###.#####.##...######.#.##..####.#.#.###.###.##.#.....#.##.##.##.#.#.##...#..##.#####...#.####.##.#.#..#.#.......#.##..###..###.#..###.#####.##...######.#.##..####.#.#.###.###.##.#.....#.##.##.##.#.#.##...#..##.#####...#.####.##.#.#..#.#.......#.##..###..###.#..###.#####.##...######.#.##..####.#.#.###.###.##.#.....#.##.##.##.#.#.##...#..##.#####...#.####.##.#.#..#.#.......#.##..###..###.#..###.#####.##...######.#.##..####.#.#.###.###.##.#.....#.##.##.##.#.#.##...#..##.#####.
#....####.#.#.######..#.########.##.#..##..##.##..#####..##.#..##.###.#.#.#.....#..###..###..#.##..#.#...##.#.######.##.###.########...##.###.#.##.....##.###..#...#..#.####.#.....#.#.#....##.#.....#..#......#.##.#####.##...##.##.##.#...#....##.#...#.#..#######..##.#.#...#....####.##.#..###.#.##..###..###..##.#####..###.######.###.#..#....##.#.....####...#.#...#.##.##.#.##.#...#.#..#######..##.#.#...#....####.##.#..###.#.##..###..###..##.#####..###.######.###.#..#....##.#.....####...#.#...#.##.##.#.##.#...#.#..#######..##.#.#...#....####.##.#..###.#.##..###..###..##.#####..###.######.###.#..#....##.#.....####...#.#...#.##.##.#.##.#...#.#..#######..##.#.#...#....####.##.#..###.#.##..###..###..##.#####..###.######.###.#..#....##.#.....####...#.#...#.##.##.#.##.#...#.#..#######..##.#.#...#....####.##.#..###.#.##..###..###..##.#####..###.######.###.#..#....##.#.....####...#.#...#.##.##.#.##.#...#.#..#######..##.#.#...#....####.##.#..###.#.##..###..###..##.#####..###.######.###.#..#....##.#.
#.#.#..#.#..###.#####.#.##.######.#...#.......####..####...#..#.##.##..###.#.....#.....##...#..##....#.....#...#.###.#####.#...##..#.#..###.######...##.#.#####.######.##....#.####...#######....##..#.....#..#......#.#...######....##..#....##.###....####..##.###.####.####.##..#.........##...#..##..#..##..#.##...#..####..#.#######..#.#..##.#####.#....#...##.##......##...#.###....####..##.###.####.####.##..#.........##...#..##..#..##..#.##...#..####..#.#######..#.#..##.#####.#....#...##.##......##...#.###....####..##.###.####.####.##..#.#.......##...#..##..#..##..#.##...#..####..#.#######..#.#..##.#####.#....#...##.##......##...#.###....####..##.###.####.####.##..#.........##...#..##..#..##..#.##...#..####..#.#######..#.#..##.#####.#....#...##.##......##...#.###....####..##.###.####.####.##..#.........##...#..##..#..##..#.##...#..####..#.#######..#.#..##.#####.#....#...##.##......##...#.###....####..##.###.####.####.##..#.........##...#..##..#..##..#.##...#..####..#.#######..#.#..##.#####.
....###....###.....#.#..#...#...#.##..###......#...##..###...##.#######.#...####....###.#..##....#.#...####..#.......#..##........#.##.#####.#..##.##...#.#....##..###..#...#...#####.#..##.....#..##.#.#...#...#.#..##.##..####...#...#......###....##.#..####..#..##...##..#..#.#...###.#......##..#.#..#.###.#.#####.#.######.#...#..##.##.##..#.#.#.###.....####.#..#..#...##.......##.#..####..#..##...##..#..#.#...###.#......##..#.#..#.###.#.#####.#.######.#...#..##.##.##..#.#.#.###.....####.#..#..#...##.......##.#..####..#..##...##..#..#.#...###.#......##..#.#..#.###.#.#####.#.######.#...#..##.##.##..#.#.#.###.....####.#..#..#...##.......##.#..####..#..##...##..#..#.#...###.#......##..#.#..#.###.#.#####.#.######.#...#..##.##.##..#.#.#.###.....####.#..#..#...##.......##.#..####..#..##...##..#..#.#...###.#......##..#.#..#.###.#.#####.#.######.#...#..##.##.##..#.#.#.###.....####.#..#..#...##.......##.#..####..#..##...##..#..#.#...###.#......##..#.#..#.###.#.#####.#.######.#...#..##.##.##..#.#.#.#
.#..#....#.###..###.#....###...###.#.##.#.#..#...##.#.##.....#..##.#....#.#.##..#.####..#..#..##...##.######...##.#....#..#..###..#..###.#....#.##.......##.##.##..#.#.#..........####..#.#....#########..#....#.#...#.###.###.####.#.#.....###.#.#.##..##...#.##..#.#..##...###.#.#.#.#..##..#...#.#.##..###.#.#.....#...###..#.#.#...#..###.##..#.###...........##..#.###.#....###.#.##..##...#.##..#.#..##...###.#.#.#.#..##..#...#.#.##..###.#.#.....#...###..#.#.#...#..###.##..#.###...........##..#.###.#....###.#.##..##...#.###.#.#..##...###.#.#.#.#..##..#...#.#.##..###.#.#.....#...###..#.#.#...#..###.##..#.###...........##..#.###.#....###.#.##..##...#.##..#.#..##...###.#.#.#.#..##..#...#.#.##..###.#.#.....#...###..#.#.#...#..###.##..#.###...........##..#.###.#....###.#.##..##...#.##..#.#..##...###.#.#.#.#..##..#...#.#.##..###.#.#.....#...###..#.#.#...#..###.##..#.###...........##..#.###.#....###.#.##..##...#.##..#.#..##...###.#.#.#.#..##..#...#.#.##..###.#.#.....#...###..#.#.#...#..###.##..#.###..
....#...#.#.####..####..#..#.#..#..##...#..#..#.....#.....##.######...#.#.#.#.......##...###.#....###.#...#.#.#..#.##.##....#.####.#....####.##.#......##.##.#####...#..#.###.#.##.#.##..####..#..#...##...#.#.#..###...#.##.###.##.....#....###.....###...#....#.#.#.#.#.#.##..##.###.#...#.######..##.##.#...##.##.#..##..#..####......###.##.##.#.#######..#...#....#.#.##..#.###....###...#....#.#.#.#.#.#.##..##.###.#...#.######..##.##.#...##.##.#..##..#..####......###.##.##.#.#######..#...#....#.#.##..#.###....###...#....#.#.#.#.#.#.##..##.###.#...#.######..##.##.#...##.##.#..##..#..####......###.##.##.#.#######..#...#....#.#.##..#.###....###...#....#.#.#.#.#.#.##..##.###.#...#.######..##.##.#...##.##.#..##..#..####......###.##.##.#.#######..#...#....#.#.##..#.###....###...#....#.#.#.#.#.#.##..##.###.#...#.######..##.##.#...##.##.#..##..#..####......###.##.##.#.#######..#...#....#.#.##..#.###....###...#....#.#.#.#.#.#.##..##.###.#...#.######..##.##.#...##.##.#..##..#..####......###.##.##.#.####
...#.#.#.##...#######...###...#..##.###..#.#.#.#..####.##.###...#.#..##.###...##.#..#.#######..#.####.##.#....#.#.#####..##.#..##.##.#.#..##.#..#..#.#..#..##....###.#.#.##.####..##....###.##.#..######.###.####.##.###...#..##.##...#.#.###....###.##.##..##.#########..#..########...##.#.###...##.##.###.......####.#.##...#..#.##..#..##.#.#.###..##.#..#########...........#..###.##.##..##.#########..#..########...##.#.###...##.##.###.......####.#.##...#..#.##..#..##.#.#.###..##.#..#########...........#..###.##.##..##.#########..#..########...##.#.###...##.##.###.......####.#.##...#..#.##..#..##.#.#.###..##.#..#########...........#..###.##.##..##.#########..#..########...##.#.###...##.##.###.......####.#.##...#..#.##..#..##.#.#.###..##.#..#########...........#..###.##.##..##.#########..#..########...##.#.###...##.##.###.......####.#.##...#..#.##..#..##.#.#.###..##.#..#########...........#..###.##.##..##.#########..#..########...##.#.###...##.##.###.......####.#.##...#..#.##..#..##.#.#.###..##
..#.#.##....#####.###...#.##......##.#.#####...#..#..##.#..####..#.#.##.##..###.#...#....####..###...#####...#.#..#..#..##.########.#..#####.#....#......####......###.#...#..#.##.#.###.#...##..#.##.###..##.......#.###.##.#....##..##.######...#####.#####.#..###..#.#..#.#.#.#.##........#..#.##..###..#.#.#.#..####.##.###...#...#.##..........##..####...####.##...##.#...###..#####.#####.#..###..#.#..#.#.#.#.##........#..#.##..###..#.#.#.#..####.##.###...#...#.##..........##..####...####.##...##.#...###..#####.#####.#..###..#.#..#.#.#.#.##........#..#.##..###..#.#.#.#..####.##.###...#...#.##..........##..####...####.##...##.#...###..#####.#####.#..###..#.#..#.#.#.#.##........#..#.##..###..#.#.#.#..####.##.###...#...#.##..........##..####...####.##...##.#...###..#####.#####.#..###..#.#..#.#.#.#.##........#..#.##..###..#.#.#.#..####.##.###...#...#.##..........##..####...####.##...##.#...###..#####.#####.#..###..#.#..#.#.#.#.##........#..#.##..###..#.#.#.#..####.##.###...#...#.##..........##..#
..##.##..#..#...#..#####.....####....###..#.#..##....#.#########..####.##.#...##.#.###.#..##...###.###..#.#.##.#####.##..#..###.#.#....#....#...#.#.##.#.....#..##...##...#...##.##.#..######...##.###...#.#..#....#..#..#.###..#.###.#..#...#..#.#.##..#..##.....#..#..#########..##.##..####.#####..#.#.#..###.#.#..##.#.###.....######..#..#...#.#...#..##.###.#.###........##....#.##..#..##.....#..#..#########..##.##..####.#####..#.#.#..###.#.#..##.#.###.....######..#..#...#.#...#..##.###.#.###........##....#.##..#..##.....#..#..#########..##.##..####.#####..#.#.#..###.#.#..##.#.###.....######..#..#...#.#...#..##.###.#.###........##....#.##..#..##.....#..#..#########..##.##..####.#####..#.#.#..###.#.#..##.#.###.....######..#..#...#.#...#..##.###.#.###........##....#.##..#..##.....#..#..#########..##.##..####.#####..#.#.#..###.#.#..##.#.###.....######..#..#...#.#...#..##.###.#.###........##....#.##..#..##.....#..#..#########..##.##..####.#####..#.#.#..###.#.#..##.#.###.....######..#..#...#.#...#
.#.#..#.##..#.###..#.##.#.#####.#..##..#.#..#.#.#..####.###...#..##.#.#..##.#....#..#..###.#.####....#.##.#.##.##.#.......#.#...#......#.......#.##########..#.#####.##..#.#......##..###.#.....##.###.....#.#.###..#..##..#...#.....###.##.####..........####..#....#.##.###...##.#.......#.##...####..#..##...###.###.#....#.#...#.#.#...........#.#....###.#.###..###.#.#.....#.#.........####..#....#.##.###...##.#.......#.##...####..#..##...###.###.#....#.#...#.#.#...........#.#....###.#.###..###.#.#.....#.#.........####..#....#.##.###...##.#.......#.##...####..#..##...###.###.#....#.#...#.#.#...........#.#....###.#.###..###.#.#.....#.#.........####..#....#.##.###...##.#.......#.##...####..#..##...###.###.#....#.#...#.#.#...........#.#....###.#.###..###.#.#.....#.#.........####..#....#.##.###...##.#.......#.##...####..#..##...###.###.#....#.#...#.#.#...........#.#....###.#.###..###.#.#.....#.#.........####..#....#.##.###...##.#.......#.##...####..#..##...###.###.#....#.#...#.#.#...........#.#...
.#..#..#....##..#.#..##.....###.......###.....#...#.#.#.#.#.#.#..###.##.#####..#.#.##.#...#..####.....#.#..###.###.#####....####.##.....#...#.##.#.#####...##.##..###.#.####......#.##.#.##...#.####..#.##.#.#.##.#....##..#..##.##..#...####....###.##..##....#.####.#.....###..#......#.....##....#.#.#.#..##..#.#..#.##.######.#..##.####...#.#....####...##..#.#.#...#.#.####...###.##..##....#.####.#.....###..#......#.....##....#.#.#.#..##..#.#..#.##.######.#..##.####...#.#....####...##..#.#.#...#.#.####...###.##..##....#.####.#.....###..#......#.....##....#.#.#.#..##..#.#..#.##.######.#..##.####...#.#....####...##..#.#.#...#.#.####...###.##..##....#.####.#.....###..#......#.....##....#.#.#.#..##..#.#..#.##.######.#..##.####...#.#....####...##..#.#.#...#.#.####...###.##..##....#.####.#.....###..#......#.....##....#.#.#.#..##..#.#..#.##.######.#..##.####...#.#....####...##..#.#.#...#.#.####...###.##..##....#.####.#.....###..#......#.....##....#.#.#.#..##..#.#..#.##.######.#..##.####...#.#....###
###.#.#...#.#####.##.#..#...####..####..#.#..##..#.#...####.#.###.##...#.#...######....#..#...#.##.....##....###..##..#.#.#.....#.#..###.###.####....##..#.#####...#...#.#.#.#..##.....#...#.###...####.##.###.#...#.######...#.....#.###..#.....#..#.####...#.#.###.##.#.#####.#..#..#...#.#####.....###.#.......#.##......##..#.#.#.##.##..##...#.###..###..#.#.....#.###..######.#..#.####...#.#.###.##.#.#####.#..#..#...#.#####.....###.#.......#.##......##..#.#.#.##.##..##...#.###..###..#.#.......###..######.#..#.####...#.#.###.##.#.#####.#..#..#...#.#####.....###.#.......#.##......##..#.#.#.##.##..##...#.###..###..#.#.......###..######.#..#.####...#.#.###.##.#.#####.#..#..#...#.#####.....###.#.......#.##......##..#.#.#.##.##..##...#.###..###..#.#.......###..######.#..#.####...#.#.###.##.#.#####.#..#..#...#.#####.....###.#.......#.##......##..#.#.#.##.##..##...#.###..###..#.#.......###..######.#..#.####...#.#.###.##.#.#####.#..#..#...#.#####.....###.#.......#.##......##..#.#.#.##.##..##...#.###..
#.#..##.#..##.###.#...##.#...#...#..##.#..#....##....##....##..#..#....####.#..#..####.........####.######....##..###.###.#...##..#.##..###.##.##..##.##.#.##...#.#######.....#......###..##.#####...#.######....#.....#...####.#.#.#...#.##.#.##..#.#.##...#.###.####....#..##.#....#..#.##....#..###..#...###.....#########..#.##.#.#####...#...##.#.#.##..####.#.##.###..#...#.....#.#.##...#.###.####....#..##.#....#..#.##....#..###..#...###.....#########..#.##.#.#####...#...##.#.#.##..####.#.##.###..#...#.....#.#.##...#.###.####....#..##.#....#..#.##....#..###..#...###.....#########..#.##.#.#####...#...##.#.#.##..####.#.##.###..#...#.....#.#.##...#.###.####....#..##.#....#..#.##....#..###..#...###.....#########..#.##.#.#####...#...##.#.#.##..####.#.##.###..#...#.....#.#.##...#.###.####....#..##.#....#..#.##....#..###..#...###.....#########..#.##.#.#####...#...##.#.#.##..####.#.##.###..#...#.....#.#.##...#.###.####....#..##.#....#..#.##....#..###..#...###.....#########..#.##.#.#####...#...##.#.#.
.##.#####.#.##..#.#..#.....#.#....######.#.#..#...###...#.#.##...#.#.#..#..#.##...##...####.#...#.#..#.#...#.#.##.#.#.....#.#..#.#..#.#..#.....####..#..#.....#..#...#..##.##.#.#.#..#..##.##.#####.####...#.#.####.#..#..#.####..###...##.#.#.##.#..##.##.##..#####.#.#..###...#.#.##.####.##...######.##..#.#......#....#####....#..##.##.###.#.#...#....##.#...#....#..#.##.#...#.#..##.##.##..#####.#.#..###...#.#.##.####.##...######.##..#.#......#....#####....#..##.##.###.#.#...#....##.#...#....#..#.##.#...#.#..##.##.##..#####.#.#..###...#.#.##.####.##...######.##..#.#......#....#####....#..##.##.###.#.#...#....##.#...#....#..#.##.#...#.#..##.##.##..#####.#.#..###...#.#.##.####.##...######.##..#.#......#....#####....#..##.##.###.#.#...#....##.#...#....#..#.##.#...#.#..##.##.##..#####.#.#..###...#.#.##.####.##...######.##..#.#......#....#####....#..##.##.###.#.#...#....##.#...#....#..#.##.#...#.#..##.##.##..#####.#.#..###...#.#.##.####.##...######.##..#.#......#....#####....#..##.##.###.#.#...#..
#..#.##.#...#.##.#.####.##..##.##.###...##..##...#..#.#....#.##..#...##..#..#.#..####.###.###....####.#....##.#.#.##.##..#.#.######.#.##....#...########...####.......#.#.#.###...#.....#.####...#..###.##..##...#.#...##.#.####..##......##...##.####......##.#.#.#......#....#..########....#####...####.##.#.##.#...#.##..#.....#######.#..####.....#..##..#..#.#.###.#..####..##.####......##.#.#.#......#....#..########....#####...####.##.#.##.#...#.##..#.....#######.#..####.....#..##..#..#.#.###.#..####..##.####......##.#.#.#......#....#..########....#####...####.##.#.##.#...#.##..#.....#######.#..####.....#..##..#..#.#.###.#..####..##.####......##.#.#.#......#....#..########....#####...####.##.#.##.#...#.##..#.....#######.#..####.....#..##..#..#.#.###.#..####..##.####......##.#.#.#......#....#..########....#####...####.##.#.##.#...#.##..#.....#######.#..####.....#..##..#..#.#.###.#..####..##.####......##.#.#.#......#....#..########....#####...####.##.#.##.#...#.##..#.....#######.#..####.....#.
##..##.#.##.#.....###..####..#.##.###.####..#.#.#.#..##.#....#...#.#####....##.##.##..#.##.#.....#.###......##......##.....#..##..##.#.#.####..#.###.####..#....##.#...#.##..#.#.###..####.#.#.#.#...#...#####.#..#.#.##.#.#.##..###...#.####.#.#.##.##.###....##...##...#.......###..#####.#.##..#..##..##....#.#..#...#.#.##..##.#..#.#...#.#....#....####.....#...##...###.#.#.##.##.##.###....##...##...#.......###..#####.#.##..#..##..##....#.#..#...#.#.##..##.#..#.#...#.#....#....####.....#...##...###.#.#.##.##.##.###....##...##...#.......###..#####.#.##..#..##..##....#.#..#...#.#.##..##.#..#.#...#.#....#....####.....#...##...###.#.#.##.##.##.###....##...##...#.......###..#####.#.##..#..##..##....#.#..#...#.#.##..##.#..#.#...#.#....#....####.....#...##...###.#.#.##.##.##.###....##...##...#.......###..#####.#.##..#..##..##....#.#..#...#.#.##..##.#..#.#...#.#....#....####.....#...##...###.#.#.##.##.##.###....##...##...#.......###..#####.#.##..#..##..##....#.#..#...#.#.##..##.#..#.#...#.#....#....#
#..###.#.######.#.#.####.#..###.#..#.....#.....#.##...##.##.##.#.....##...#.#.##.#...#..####...#.##...##.#####.##.......#.####...#.###..##.....##..#.###...####.####......###..#.#.#.#.###.###.#.###..#...#.#.##....#..#..#.#.#.######..#.#.....#####.##.#...#...###.#..#.##.###.###.....#.##.##.#.#..##..######.#.#.#....#...#.##..#..#......#..######...#.#######..##....#.##.#.######.##.#...#...###.#..#.##.###.###.....#.##.##.#.#..##..######.#.#.#....#...#.##..#..#......#..######...#.#######..##....#.##.#.######.##.#...#...###.#..#.##.###.###.....#.##.##.#.#..##..######.#.#.#....#...#.##..#..#......#..######...#.#######..##....#.##.#.######.##.#...#...###.#..#.##.###.###.....#.##.##.#.#..##..######.#.#.#....#...#.##..#..#......#..######...#.#######..##....#.##.#.######.##.#...#...###.#..#.##.###.###.....#.##.##.#.#..##..######.#.#.#....#...#.##..#..#......#..######...#.#######..##....#.##.#.######.##.#...#...###.#..#.##.###.###.....#.##.##.#.#..##..######.#.#.#....#...#.##..#..#......#..######..
##.#....##.##.#.#....#...##.####..####.####...#..........#..##.#.#.####.##.#..##..#.#.###.##...#...#..##..#....##...#..#.##.#...###..#.###...#.#.###..##..#..#.###...#.#####.....#..#.#...#..###..#.#...#..###..###.#.#......#..##.#######.......##..##..###.#.......#..##..##..#.###.###.#.....##..#...##.#.#..#....#..####.###.#####..##.##.#.#.#.......#....####.####...#..#..#.###..##..###.#.......#..##..##..#.###.###.#.....##..#...##.#.#..#....#..####.###.#####..##.##.#.#.#.......#....####.####...#..#..#.###..##..###.#.......#..##..##..#.###.###.#.....##..#...##.#.#..#....#..####.###.#####..##.##.#.#.#.......#....####.####...#..#..#.###..##..###.#.......#..##..##..#.###.###.#.....##..#...##.#.#..#....#..####.###.#####..##.##.#.#.#.......#....####.####...#..#..#.###..##..###.#.......#..##..##..#.###.###.#.....##..#...##.#.#..#....#..####.###.#####..##.##.#.#.#.......#....####.####...#..#..#.###..##..###.#.......#..##..##..#.###.###.#.....##..#...##.#.#..#....#..####.###.#####..##.##.#.#.#......
#..#.#.#..##..#...###..###.#.....#..#.#..######.##.#..######..##.#.##.#..##.#...#...####..#.....##.....#.#.##.##..#.#.#...#.....#..##...####...#...#..####.#..####..#.###....#..#........#.#...##...#.#.#..#...#..####.##.#..#....##.###......###.#..#.#...#.#.#.##.#..#.#.##..##...##..####..##........#..###.##.#..##.#..##.#######..######.###.#....#..##.#.###.######...###......#..#.#...#.#.#.##.#..#.#.##..##...##..####..##........#..###.##.#..##.#..##.#######..######.###.#....#..##.#.###.######...###......#..#.#...#.#.#.##.#..#.#.##..##...##..####..##........#..###.##.#..##.#..##.#######..######.###.#....#..##.#.###.######...###......#..#.#...#.#.#.##.#..#.#.##..##...##..####..##........#..###.##.#..##.#..##.#######..######.###.#....#..##.#.###.######...###......#..#.#...#.#.#.##.#..#.#.##..##...##..####..##........#..###.##.#..##.#..##.#######..######.###.#....#..##.#.###.######...###......#..#.#...#.#.#.##.#..#.#.##..##...##..####..##........#..###.##.#..##.#..##.#######..######.###.#....#.
........##.#..#.####....###...####.##.##.###..###..######.##....##..####.#..#.#.##..#.####..#...###.#.#....#..####...#..#####.##..##..###..#.#######.#..##...#.##.#..####.#..#...###.####....##.##..#..####.#.#.###..##..###.......##...###.#.##.###.#####....#.#.####.#..#.#.....#########...#.##.####..##..##...#.#.#....#.##.#.#.#..##.#######..####..##..##.##.##.#.#.#..###...####.#####....#.#.####.#..#.#.....#########...#.##.####..##..##...#.#.#....#.##.#.#.#..##.#######..####..##..##.##.##.#.#.#..###...####.#####....#.#.####.#..#.#.....#########...#.##.####..##..##...#.#.#....#.##.#.#.#..##.#######..####..##..##.##.##.#.#.#..###...####.#####....#.#.####.#..#.#.....#########...#.##.####..##..##...#.#.#....#.##.#.#.#..##.#######..####..##..##.##.##.#.#.#..###...####.#####....#.#.####.#..#.#.....#########...#.##.####..##..##...#.#.#....#.##.#.#.#..##.#######..####..##..##.##.##.#.#.#..###...####.#####....#.#.####.#..#.#.....#########...#.##.####..##..##...#.#.#....#.##.#.#.#..##.#######..####..
#.#.##........###.#..##.####.##.....#....#..##...#.....#.###...#...#..##....#.##....##.#.#.##.##.####.#......###.....#.###.#.#...#.##..##.##...#####.##.##.#....#....###.####.#.....#..#.#.#....#.....#.##.....#.#...###.#.###.#....###..##..#.##..#.#..#...#.#..##..####.#..###..#..##.###...###..##.#....##.#.....#....####.###...###.##........#.#..#..#.#..#.#...#####.###...##...#.#..#...#.#..##..####.#..###..#..##.###...###..##.#.....#.#.....#....####.###...###.##........#.#..#..#.#..#.#...#####.###...##...#.#..#...#.#..##..####.#..###..#..##.###...###..##.#.....#.#.....#....####.###...###.##........#.#..#..#.#..#.#...#####.###...##...#.#..#...#.#..##..####.#..###..#..##.###...###..##.#.....#.#.....#....####.###...###.##........#.#..#..#.#..#.#...#####.###...##...#.#..#...#.#..##..####.#..###..#..##.###...###..##.#.....#.#.....#....####.###...###.##........#.#..#..#.#..#.#...#####.###...##...#.#..#...#.#..##..####.#..###..#..##.###...###..##.#.....#.#.....#....####.###...###.##........#.#..#.
##.####.##.####..##..#...#.####.###..#..##..#.....##..##.#....#####.#.###..##.#..###.....##..##.##.#....##..#.#...#.#.##.#.#.#.....#..#...#.##.#...#.#..#.#.....#..#.###...##..###...#...#..#..##.#.#.####...#.##...###....#.###....#.....#.###.#......#.....######.#.#.#...#..#..#.#.#..###.#...####.....##.#..#..##..##.#.#.#.#.#..#..##.##.###...##.#.##..#..#......#.###.....###......#.....######.#.#.#...#..#..#.#.#..###.#...####.....##.#..#..##..##.#.#.#.#.#..#..##.##.###...##.#.##.##..#......#.###.....###......#.....######.#.#.#...#..#..#.#.#..###.#...####.....##.#..#..##..##.#.#.#.#.#..#..##.##.###...##.#.##..#..#......#.###.....###......#.....######.#.#.#...#..#..#.#.#..###.#...####.....##.#..#..##..##.#.#.#.#.#..#..##.##.###...##.#.##..#..#......#.###.....###......#.....######.#.#.#...#..#..#.#.#..###.#...####.....##.#..#..##..##.#.#.#.#.#..#..##.##.###...##.#.##..#..#......#.###.....###......#.....######.#.#.#...#..#..#.#.#..###.#...####.....##.#..#..##..##.#.#.#.#.#..#..##.##.###...##.#.
.#.##.########.#..#..###.##..#.##.##..#.##.#.###.#....#..##.##.###..#.###..#.##.##...........#.#.####..#.#......#..###...##.#...##.#..#.#...##.####.##...#..#.###.##..#..##.#..#...###..###.##.##.#.#..#.#.##..#.###.##.#####.#...#....#.#.....#..##......##.#.#...###.##.###.....##.##..#.##.#.#.####.##.##.#.###...##..#...#...##....#....##.##.#....##..#....#......##.#.#.....##.##......##.#.#...###.##.###.....##.##..#.##.#.#.####.##.##.#.###...##..#...#...##....#....##.##.#....##..#....#......##.#.#.....##.##......##.#.#...###.##.###.....##.##..#.##.#.#.####.##.##.#.###...##..#...#...##....#....##.##.#....##..#....#......##.#.#.....##.##......##.#.#...###.##.###.....##.##..#.##.#.#.####.##.##.#.###...##..#...#...##....#....##.##.#....##..#....#......##.#.#.....##.##......##.#.#...###.##.###.....##.##..#.##.#.#.####.##.##.#.###...##..#...#...##....#....##.##.#....##..#....#......##.#.#.....##.##......##.#.#...###.##.###.....##.##..#.##.#.#.####.##.##.#.###...##..#...#...##....#....##.##.#....##
..####...##......#..#..##.#...#.#.####..#..####.#..###..#####.#.####.#..#..#....######.#.###..##..##...###.##...#####.#.#..#.###.#....#...###.##......#.#..#....####.#.##..##....##........##.#..##.#.#####.###..##.#..#.######...#.####.#....#..###...#.#..##.....#..#..#.####.#.###.#.#..##.....##.....####.##....#......##.#.#.###..#.#...####.##.######..##...#......#.#.#.###..###...#.#..##.....#..#..#.####.#.###.###..##.....##.....####.##....#......##.#.#.###..#.#...####.##.######..##...#......#.#.#.###..###...#.#..##.....#..#..#.####.#.###.#.#..##.....##.....####.##....#......##.#.#.###..#.#...####.##.######..##...#......#.#.#.###..###...#.#..##.....#..#..#.####.#.###.#.#..##.....##.....####.##....#......##.#.#.###..#.#...####.##.######..##...#......#.#.#.###..###...#.#..##.....#..#..#.####.#.###.#.#..##.....##.....####.##....#......##.#.#.###..#.#...####.##.######..##...#......#.#.#.###..###...#.#..##.....#..#..#.####.#.###.#.#..##.....##.....####.##....#......##.#.#.###..#.#...####.##.####
#####.#..#.#.#..##...###..###.##..##.###..#.###..#.##....#####.#..#...##.####.##...#####.#....###.#.###..#......#.#..##.#####.####.###.##....###.#.#.########..###..#.##..#.##...#..#.#..###.##....#.#...##.#..#..#..#.####..##....####....##.#..##..#.##....###.....###..###.#..##.###.##.##.#....#....###..###..##...####......###...#...#..##.#..##..##..#####.#..#.#....##..#.#.##..#.##....###.....###..###.#..##.###.##.##.#....#....###..###..##...####......###...#...#..##.#..##..##..#####.#..#.#....##..#.#.##..#.##....###.....###..###.#..##.###.##.##.#....#....###..###..##...####......###...#...#..##.#..##..##..#####.#..#.#....##..#.#.##..#.##....###.....###..###.#..##.###.##.##.#....#....###..###..##...####......###...#...#..##.#..##..##..#####.#..#.#....##..#.#.##..#.##....###.....###..###.#..##.###.##.##.#....#....###..###..##...####......###...#...#..##.#..##..##..#####.#..#.#....##..#.#.##..#.##....###.....###..###.#..##.###.##.##.#....#....###..###..##...####......###...#...#..##.#..##..#
...#.#.##.####.#..#####...###..#.##..##...#.#....#.....#.#..##...#.#...#.#...#.###.#.##.#..#.#....#..###..#...#....#..##..#.#.##..###..###.##.####.#.#.#..#.##.#..#.#..#.#..######.#..##.##.###...#.#..#.##....#.#.#...#..##.#.....##.##..#.#..######...#.###.#.###.#.#..###.##.#.##.##.#....#...#.#.##.###.#..#..#.#.#...#.#.##...#.#...###....#.##.#..###.#.#.##...####...##.#.#..####...#.###.#.###.#.#..###.##.#.##.##.#....#...#.#.##.###.#..#..#.#.#...#.#.##...#.#...###....#.##.#..###.#.#.##...####...##.#.#..####...#.###.#.###.#.#..###.##.#.##.##.#....#...#.#.##.###.#..#..#.#.#...#.#.##...#.#...###....#.##.#..###.#.#.##...####...##.#.#..####...#.###.#.###.#.#..###.##.#.##.##.#....#...#.#.##.###.#..#..#.#.#...#.#.##...#.#...###....#.##.#..###.#.#.##...####...##.#.#..####...#.###.#.###.#.#..###.##.#.##.##.#....#...#.#.##.###.#..#..#.#.#...#.#.##...#.#...###....#.##.#..###.#.#.##...####...##.#.#..####...#.###.#.###.#.#..###.##.#.##.##.#....#...#.#.##.###.#..#..#.#.#...#.#.##...#.#...###....#.##.#..#
#######.###.##..#.....##.........###.###...###.#..#......###..#.######.#..##.#.#.....#......#.#.#....#.#.##.###...###.#.....##.###....##.#....#..#.....###..#....#.#...#.##.###...###...#.#.##...#######.###...#.#.##..##...#..#.##.###...###....##......####.#.#.....##.#.#.#....#.#.#.#..##..#..##.##.##...###.....#.##..##..##..#.#.#...###.#....#..###.#..##.#....#####......#.###......####.#.#.....##.#.#.#....#.#.#.#..##..#..##.##.##...###.....#.##..##..##..#.#.#...###.#....#..###.#..##.#....#####......#.###......####.#.#.....##.#.#.#....#.#.#.#..##..#..##.##.##...###.....#.##..##..##..#.#.#...###.#....#..###.#..##.#....#####......#.###......####.#.#.....##.#.#.#....#.#.#.#..##..#..##.##.##...###.....#.##..##..##..#.#.#...###.#....#..###.#..##.#....#####......#.###......####.#.#.....##.#.#.#....#.#.#.#..##..#..##.##.##...###.....#.##..##..##..#.#.#...###.#....#..###.#..##.#....#####......#.###......####.#.#.....##.#.#.#....#.#.#.#..##..#..##.##.##...###.....#.##..##..##..#.#.#...###.#....#..##
#######.#.####.###....#..#..####.#.####.#...#.......#######....#...#..##.#......#.....##....#.#.#.#.###.#..#..###....#.......#....#.#####.###....#.####.#.#####.###.###.#..##..##....##..##.#..##.####..##.#..##.##.........#.##.#.###.#.#..#..#.....####...##.#...##.#..#.....##.#..#.#.###..#....##.#..###...###..#...#...##.#..####.#.####....####.#.....######.....#.##.#.....#.....####...##.#...##.#..#.....##.#..#.#.###..#....##.#..###...###..#...#...##.#..####.#.####....####.#.....######.....#.##.#.....#.....####...##.#...##.#..#.....##.#..#.#.###..#....##.#..###...###..#...#...##.#..####.#.####....####.#.....######.....#.##.#.....#.....####...##.#...##.#..#.....##.#..#.#.###..#....##.#..###...###..#...#...##.#..####.#.####....####.#.....######.....#.##.#.....#.....####...##.#...##.#..#.....##.#..#.#.###..#....##.#..###...###..#...#...##.#..####.#.####....####.#.....######.....#.##.#.....#.....####...##.#...##.#..#.....##.#..#.#.###..#....##.#..###...###..#...#...##.#..####.#.####....####.#..
##.###.....#......#.....##.###....####..#....####...##..#.##..#.##.#####.####.#...#.#....#...#.####.##.#..##.#...#.#.##..#..###.#..#.###.#.####..###.###...##...##.#.##....##..#.#.##....#.#####.#.#..#...##..#.##..###...#.##..#.#..#..###...#....#..##.#..#.#.#...#......#.########...###.#####.####.##.#.##.######.##......#.###...##.####.#...#..#.##.####..##..######..#.##......#..####..#.#.#...#......#.########...###.#####.####.##.#.##.######.##......#.###...##.####.#...#..#.##.####..##..######..#.##......#..##.#..#.#.#...#......#.########...###.#####.####.##.#.##.######.##......#.###...##.####.#...#..#.##.####..##..######..#.##......#..##.#..#.#.#...#......#.########...###.#####.####.##.#.##.######.##......#.###...##.####.#...#..#.##.####..##..######..#.##......#..##.#..#.#.#...#......#.########...###.#####.####.##.#.##.######.##......#.###...##.####.#...#..#.##.####..##..######..#.##......#..##.#..#.#.#...#......#.########...###.#####.####.##.#.##.######.##......#.###...##.####.#...#..#.##
..###.##.#.......#.#..##.##.##...#..###.#.#.######..##.##....######....#.#..#.##.##....#.#.##..#.#.#..#..##.#..####.###.##.###.#.##.#.#.#...##.#.#..##.....######..#.#####.##.#.###...##....#####.#.###..##.###....##..####.....###..#..#.#.##.....###.###.#.###.####.#.#.#....#.##.#.#.#.##.#.#..#....#.##.#..##...###..#..######...#....#.#..##.#.##....#.###.#.###...###..#.#..#...###.###.#.###.####.#.#.#....#.##.#.#.#.##.#.#..#....#.##.#..##...###..#..######...#....#.#..##.#.##....#.###.#.#.#...###..#.#..#...###.###.#.###.####.#.#.#....#.##.#.#.#.##.#.#..#....#.##.#..##...###..#..######...#....#.#..##.#.##....#.###.#.#.#...###..#.#..#...###.###.#.###.####.#.#.#....#.##.#.#.#.##.#.#..#....#.##.#..##...###..#..######...#....#.#..##.#.##....#.###.#.#.#...###..#.#..#...###.###.#.###.####.#.#.#....#.##.#.#.#.##.#.#..#....#.##.#..##...###..#..######...#....#.#..##.#.##....#.###.#.#.#...###..#.#..#...###.###.#.###.####.#.#.#....#.##.#.#.#.##.#.#..#....#.##.#..##...###..#..######...#....#.#..##.#.##...
#.........#.####.###..###.##.##....#.#..#.##..#.....#.##.#..######..##..###..#.#.#....#...#.#.#....######.#.##.#..####.#####..#...#########.#..##.#..#..##..###..###.#..#.....####.##.###...##.##...#.###.#.#.##.#.#######..###..###...###.#.#.#.#.#.##..#####.#.##..###.###..#.##..#.#....##..###..###...#...##..##...#.#####.###..######.###.#....###...##.#.#..##.#..#....###.#..#.#.##..#####.#.##..###.###..#.##..#.#....##..###..###...#...##..##...#.#####.###..######.###.#....###...##.#.#..##.#..#....###.#..#.#.##..#####.#.##..###.###..#.##..#.#....##..###..###...#...##..##...#.#####.###..######.###.#....###...##.#.#..##.#..#....###.#..#.#.##..#####.#.##..###.###..#.##..#.#....##..###..###...#...##..##...#.#####.###..######.###.#....###...##.#.#..##.#..#....###.#..#.#.##..#####.#.##..###.###..#.##..#.#....##..###..###...#...##..##...#.#####.###..######.###.#....###...##.#.#..##.#..#....###.#..#.#.##..#####.#.##..###.###..#.##..#.#....##..###..###...#...##..##...#.#####.###..######.###.#....###..
#.....#...###.##..#.#...#...#.####.#.....#...###..##..###..#.##.##..###.##.##..##.#.#....#.#..####..####.#.##.##....###..####.#...########.#.##.#...##..#.#.#....#..###.###..#.##...#.....#.#.#..#.#..#...#..#..#.#...#.#..##........#.##.#.....##....#..#.....######..#.####..#.#..#...###..###...##..#...#..##.##..........#.#.....###..#.##.####...##..#....#.#.####.#.#....#....#....#..#.....######..#.####..#.#..#...###..###...##..#...#..##.##..........#.#.....###..#.##.####...##..#....#.#.####.#.#....#....#....#..#.....######..#.####..#.#..#...###..###...##..#...#..##.##..........#.#.....###..#.##.####...##..#....#.#.####.#.#....#....#....#..#.....######..#.####..#.#..#...###..###...##..#...#..##.##..........#.#.....###..#.##.####...##..#....#.#.####.#.#....#....#....#..#.....######..#.####..#.#..#...###..###...##..#...#..##.##..........#.#.....###..#.##.####...##..#....#.#.####.#.#....#....#....#..#.....######..#.####..#.#..#...###..###...##..#...#..##.##..........#.#.....###..#.##.####...##.
#..#.###...#.#.##...##.####..###....#####..#..#.####.###########..#..##....#.##.#...#..#..#####.#..##.####.#.##.#.#####....###..#..#..###..####....##...######.#..#.###.##...#.#.....#.....###....#.##.####.#.#.#.###.#.###...#.##.#.##.##..###..#...#.##.......#.#..#..###.###.....#.####....####.##.#.##..#.#..#.###.###..##.##..##.###.#.###...#.#...##.....##...##.....###..#.###...#.##.......#.#..#..###.###.....#.####....####.##.#.##..#.#..#.###.###..##.##..##.###.#.###...#.#...##.....##...##.....###..#.###...#.##.......#.#..#..###.###.....#.####....####.##.#.##..#.#..#.###.###..##.##..##.###.#.###...#.#...##.....##...##.....###..#.###...#.##.......#.#..#..###.###.....#.####....####.##.#.##..#.#..#.###.###..##.##..##.###.#.###...#.#...##.....##...##.....###..#.###...#.##.......#.#..#..###.###.....#.####....####.##.#.##..#.#..#.###.###..##.##..##.###.#.###...#.#...##.....##...##.....###..#.###...#.##.......#.#..#..###.###.....#.####....####.##.#.##..#.#..#.###.###..##.##..##.###.#.###...#.#...#
.#.#.##......#....#.#.##.#.#..#.###......#..##...#.##.###....###.##..##...###.##...#.##..#...#.#...####.#.#####.....#..#..#.####.#...###.#.#.#.##.#....#..#..###..#.#.######..###.#....#.###.##..#.##....##.##....#............#.#.##.##.###.####.##..#.##.....##..#..######..##.######.#..#..######.##.####.#....###.#.....#.#####..#..##..###...#.##.#...#.#........#.#..###.##....##..#.##.....##..#..######..##.######.#..#..######.##.####.#....###.#.....#.#####..#..##..###...#.##.#...#.#........#.#..###.##....##..#.##.....##..#..######..##.######.#..#..######.##.####.#....###.#.....#.#####..#..##..###...#.##.#...#.#........#.#..###.##....##..#.##.....##..#..######..##.######.#..#..######.##.####.#....###.#.....#.#####..#..##..###...#.##.#...#.#........#.#..###.##....##..#.##.....##..#..######..##.######.#..#..######.##.####.#....###.#.....#.#####..#..##..###...#.##.#...#.#........#.#..###.##....##..#.##.....##..#..######..##.######.#..#..######.##.####.#....###.#.....#.#####..#..##..###...#.##.#.
##...##.#.#....#...####.#...####..#..##.#####...#.##.....#...####.###.#.##..#..#.###..#.##..#.###..###.###..#.#..###.#..#.##.#..##.#..#...#...###..#.##.##...##.##...#.###.#...#.#.....##..#.#..#####..##...#.##.#.#...#..#....#..###..####.##.#....#...##..#.####..##...#..#..##.##...##..##..#....#.#.##.##...#.###..#.###...#####...#...##.#...###.########.###.##.###.##..#..#.#...#...##..#.####..##...#..#..##.##...##..##..#....#.#.##.##...#.###..#.###...#####...#...##.#...###.########.###.##.###.##..#..#.#...#...##..#.####..##...#..#..##.##...##..##..#....#.#.##.##...#.###..#.###...#####...#...##.#...###.########.###.##.###.##..#..#.#...#...##..#.####..##..##..#..##.##...##..##..#....#.#.##.##...#.###..#.###...#####...#...##.#...###.########.###.##.###.##..#..#.#...#...##..#.####..##...#..#..##.##...##..##..#....#.#.##.##...#.###..#.###...#####...#...##.#...###.########.###.##.###.##..#..#.#...#...##..#.####..##...#..#..##.##...##..##..#....#.#.##.##...#.###..#.###...#####...#...##.#...###.###
##.#.#..#..##..###..###.##..##..##.#.##.#.#.#..####.#.#.###.#.###.#.....#....#.#..#####.#.####..#.###.#..####.....#..#.#.#..#.#..###.....#..#.###.###..####..#.##.#.#.###..#....#####..##.#.#..#######.##..###.#.#...#...#..#...#.#...#######..##.#######.#####...#..#######.#.##....#..#..#.#.##...##.##..###..###....#.##....#..###.####...#...#..#.##.####.##....#.##.#####..###..#######.#####...#..#######.#.##....#..#..#.#.##...##.##..###..###....#.##....#..###.####...#...#..#.##.####.##....#.##.#####..###..#######.#####...#..#######.#.##....#..#..#.#.##...##.##..###..###....#.##....#..###.####...#...#..#.##.####.##....#.##.#####..###..#######.#####...#..#######.#.##....#..#..#.#.##...##.##..###..###....#.##....#..###.####...#...#..#.##.####.##....#.##.#####..###..#######.#####...#..#######.#.##....#..#..#.#.##...##.##..###..###....#.##....#..###.####...#...#..#.##.####.##....#.##.#####..###..#######.#####...#..#######.#.##....#..#..#.#.##...##.##..###..###....#.##....#..###.####...#...#..#.##.
.#...##.####......########..##..####..###....#.#.#.##..#.##.##...######..##...#.#..###.#.#..#.....##...###.#..#.#.#.#..#.########.###...##...#..#........#.....##.....#.##.#.#.#####...#####..#.##.#.#..##.##...#.#.##......#.##.#..#.##.#.#..#..##..#.###.#####.#...########.##.#.#...#..#.#######..#.###.##.#...##.#.......#.####..#...##.##.#.#.......#.#.....##..#...#.#...##.####..#.###.#####.#...########.##.#.#...#..#.#######..#.###.##.#...##.#.......#.####..#...##.##.#.#.......#.#.....##..#...#.#...##.####..#.###.#####.#...########.##.#.#...#..#.#######..#.###.##.#...##.#.......#.####..#...##.##.#.#.......#.#.....##..#...#.#...##.####..#.###.#####.#...########.##.#.#...#..#.#######..#.###.##.#...##.#.......#.####..#...##.##.#.#.......#.#.....##..#...#.#...##.####..#.###.#####.#...########.##.#.#...#..#.#######..#.###.##.#...##.#.......#.####..#...##.##.#.#.......#.#.....##..#...#.#...##.####..#.###.#####.#...########.##.#.#...#..#.#######..#.###.##.#...##.#.......#.####..#...##.##.#.#.......
.##...#####..#....#..#..#.#####..#.###...##..#.####......##..#.#.....#....#.#.###....#.....#......#.....#..###...#.....##..###..#.#.#.#.###..#......##...#.##.####..#........##..#...##..####.#####.###.##....##..#.#..#..#..#.#.###..###.#########...####..#.####.#..##.####.#.####..##...#.#..###....######.#...#.....#.....#.#...#.##.#.#.#.#########....##....##.#.#..#.###.#.#.##...####..#.####.#..##.####.#.####..##...#.#..###....######.#...#.....#.....#.#...#.##.#.#.#.#########....##....##.#.#..#.###.#.#.##...####..#.####.#..##.####.#.####..##...#.#..###....######.#...#.....#.....#.#...#.##.#.#.#.#########....##....##.#.#..#.###.#.#.##...####..#.####.#..##.####.#.####..##...#.#..###....######.#...#.....#.....#.#...#.##.#.#.#.#########....##....##.#.#..#.###.#.#.##...####..#.####.#..##.####.#.####..##...#.#..###....######.#...#.....#.....#.#...#.##.#.#.#.#########....##....##.#.#..#.###.#.#.##...####..#.####.#..##.####.#.####..##...#.#..###....######.#...#.....#.....#.#...#.##.#.#.#.#########.
...###.######.#.#...#.#..#####......####.##..#..###...#.#..#.#.#.......####...#####..#.##..#.#.##.#.#...#..#..####.#.##.#.#.##..#####.#.##....##.##.#.#...#.#....#.#...##..##...###.###..###.#..###..#.#.#...##.####.#.#.#..#.#..#.#..####..#.####.#.#.#..#..#.##...#...####..###.##.#..#####...#..###...###..#....####...#####.##..#######..#...#.#.#..............#.#..#####.#.#.##.#.#.#..#..#.##...#...####..###.##.#..#####...#..###...###..#....####...#####.##..#######..#...#.#.#..............#.#..#####.#.#.##.#.#.#..#..#.##...#...####..###.##.#..#####...#..###...###..#....####...#####.##..#######..#...#.#.#..............#.#..#####.#.#.##.#.#.#..#..#.##...#...####..###.##.#..#####...#..###...###..#....####...#####.##..#######..#...#.#.#..............#.#..#####.#.#.##.#.#.#..#..#.##...#...####..###.##.#..#####...#..###...###..#....####...#####.##..#######..#...#.#.#..............#.#..#####.#.#.##.#.#.#..#..#.##...#...####..###.##.#..#####...#..###...###..#....####...#####.##..#######..#...#.#.#...
....#.###.##..#..#.#..#.##.###..###.####.####..###.##...##.....#.#..#...##.##...#..#.....#.###..#...#.##...##..#..###.....#.#########...#.....#####..##..##########.##...##...#....##.#####.#...####.##..#.##.##.#.#....##...####.#..##...####.#.#....###....##.#####.#.....##..####..#.....##....##...##.###.#.########..##..##...#####...###.##....##.#.#..#.#..#.###..#######.####....###....##.#####.#.....##..####..#.....##....##...##.###.#.########..##..##...#####...###.##....##.#.#..#.#..#.###..#######.####....###....##.#####.#.....##..####..#.....##....##...##.###.#.########..##..##...#####...###.##....##.#.#..#.#..#.###..#######.####....###....##.#####.#.....##..####..#.....##....##...##.###.#.########..##..##...#####...###.##....##.#.#..#.#..#.###..#######.####....###....##.#####.#.....##..####..#.....##....##...##.###.#.########..##..##...#####...###.##....##.#.#..#.#..#.###..#######.####....###....##.#####.#.....##..####..#.....##....##...##.###.#.########..##..##...#####...###.##....##.#
###...#.#..#...###..##.##.#..#...#.#.#########....##..###.#..#..##..##....####.#....##.#.###.##..##....#...##.....#.#.#.###..#.#....#.#.##.#.#....##.#...#.#.#...###.##.#..##..##....##....##..#.####..##..#...#..#...#..#.##...####.#.....#..#.....##..#.##...#....###..........#...###....#....###.....#.#...##...#.....##.#.....##.##..#.##.#.#......#...#..#.##.#....##.#.#.###....##..#.##...#....###..........#...###....#....###.....#.#...##...#.....##.#.....##.##..#.##.#.#......#...#..#.##.#....##.#.#.###....##..#.##...#....###..........#...###....#....###.....#.#...##...#.....##.#.....##.##..#.##.#.#......#...#..#.##.#....##.#.#.###....##..#.##...#....###..........#...###....#....###.....#.#...##...#.....##.#.....##.##..#.##.#.#......#...#..#.##.#....##.#.#.###....##..#.##...#....###..........#...###....#....###.....#.#...##...#.....##.#.....##.##..#.##.#.#......#...#..#.##.#....##.#.#.###....##..#.##...#....###..........#...###....#....###.....#.#...##...#.....##.#.....##.##..#.##.#.#......#
..##..#..##.###..#......######.##.#...##.#.#####.#.#..#.#...#.##.####.#..###.##..#.#..#.##.#.#.##.###...#.##.#.....#.###.#...####....#...#.#....#......#..##....##..#.#.##.#####...###.#.#..##.##.......##..##..#.#.#####.###..#...#.#.#...#..##.#...#....#.######.#.##..#..#..#........#...#.##..###..#.#...##..#.###....#.####.#####..#.##..###.#.#..#........#..#.##.########..#.#...#....#.######.#.##..#..#..#........#...#.##..###..#.#...##..#.###....#.####.#####..#.##..###.#.#..#........#..#.##.########..#.#...#....#.######.#.##..#..#..#........#...#.##..###..#.#...##..#.###....#.####.#####..#.##..###.#.#..#........#..#.##.########..#.#...#....#.######.#.##..#..#..#........#...#.##..###..#.#...##..#.###....#.####.#####..#.##..###.#.#..#........#..#.##.########..#.#...#....#.######.#.##..#..#..#........#...#.##..###..#.#...##..#.###....#.####.#####..#.##..###.#.#..#........#..#.##.########..#.#...#....#.######.#.##..#..#..#........#...#.##..###..#.#...##..#.###....#.####.#####..#.##..###.#.#..#.
..####....#..#..#..#####..##..#.#...#...#..#.#.#.##.########.#...#.###.#.##.#...####.###.##.#..###.#.#.#..#....####..#....#.####..#....##.#####.#.#..#.##.#.#####.#####..#.#.#.#..###.##..#.##..#.#.......#..#...##..####....####....#.#.##...#.#..#.#.#..#.#.######.#.#.#.###..#.###..#.#...#.###..###...###..#....#.####..###.##.###.##..#..##.#####.##.#..#.#.######.####...###....#.#.#..#.#.######.#.#.#.###..#.###..#.#...#.###..###...###..#....#.####..###.##.###.##..#..##.#####.##.#..#.#.######.####...###....#.#.#..#.#.######.#.#.#.###..#.###..#.#...#.###..###...###..#....#.####..###.##.###.##..#..##.#####.##.#..#.#.######.####...###....#.#.#..#.#.######.#.#.#.###..#.###..#.#...#.###..###...###..#....#.####..###.##.###.##..#..##.#####.##.#..#.#.######.####...###....#.#.#..#.#.######.#.#.#.###..#.###..#.#...#.###..###...###..#....#.####..###.##.###.##..#..##.#####.##.#..#.#.######.####...###....#.#.#..#.#.######.#.#.#.###..#.###..#.#...#.###..###...###..#....#.####..###.##.###.##..#..##.#####.##
#.##..#..##.#.....###.####.#...###..#....#...####..#.#.##.####..##.#.#.#.#.....##.#.....#..#.#...#.....##..#.###...#.###..#......#..#.##.#######..###.##.#.##..##..##..####.....#.#.##.....#.##.#.#.#..#...###.#.#.#..#.#.#.#..#..........#...##.#..#.#.##.#.#.##..#####...##...###.##.###..#####.####.#......##.###...###.#####..#####.#..##..##....##...###...##......#...####.####..#.#.##.#.#.##..#####...##...###.##.###..#####.####.#......##.###...###.#####..#####.#..##..##....##...###...##......#...####.####..#.#.##.#.#.##..#####...##...###.##.###..#####.####.#......##.###...###.#####..#####.#..##..##....##...###...##......#...####.####..#.#.##.#.#.##..#####...##...###.##.###..#####.####.#......##.###...###.#####..#####.#..##..##....##...###...##......#...####.####..#.#.##.#.#.##..#####...##...###.##.###..#####.####.#......##.###...###.#####..#####.#..##..##....##...###...##......#...####.####..#.#.##.#.#.##..#####...##...###.##.###..#####.####.#......##.###...###.#####..#####.#..##..##....##..
##.#....##.#...#.#.##..####.#.#...#..#...#.#####.....##..#.#.##.##...#....#.#.##.##.#..#..##.#...###...#..#....##.##...##..####..###.#...#####.........###.#...###.....##...##..#.####...#.##.....#.#####..##....###....#..#..#...##.###...#..##..###.#....#.#.##..#####.#.##....#.#.#..#.#.#.#.....#.#.#..##.#.#.#...#..##.##.#...####.#####.....##.##..#..#.##..##....#.....#..#...###.#....#.#.##..#####.#.##....#.#.#..#.#.#.#.....#.#.#..##.#.#.#...#..##.##.#...####.#####.....##.##..#..#.##..##....#.....#..#...###.#....#.#.##..#####.#.##....#.#.#..#.#.#.#.....#.#.#..##.#.#.#...#..##.##.#...####.#####.....##.##..#..#.##..##....#.....#..#...###.#....#.#.##..#####.#.##....#.#.#..#.#.#.#.....#.#.#..##.#.#.#...#..##.##.#...####.#####.....##.##..#..#.##..##....#.....#..#...###.#....#.#.##..#####.#.##....#.#.#..#.#.#.#.....#.#.#..##.#.#.#...#..##.##.#...####.#####.....##.##..#..#.##..##....#.....#..#...###.#....#.#.##..#####.#.##....#.#.#..#.#.#.#.....#.#.#..##.#.#.#...#..##.##.#...####.#####.....##.##..
#....#.##.#####..#....#####....####.####...#..##.#...###.#.#..#.##..##..##.##.#...#...##.##.#.###.#.....##.#...##.#..#..#.##.....##..#...#.#.##......########..##...#######.##..#..##.##...#....#..##.##.....###..####....#...#.#..####...#..##...#..#.#.#...#..###....#...#..#....#.##...##.##.##.###.###.####.#.#..#####....###......##...#.#..#..#...##.##.##..#...#...#...#..##..#..#.#.#...#..###....#...#..#....#.##...##.##.##.###.###.####.#.#..#####....###......##...#.#..#..#...##.##.##..#...#...#...#..##..#..#.#.#...#..###....#...#..#....#.##...##.##.##.###.###.####.#.#..#####....###......##...#.#..#..#...##.##.##..#...#...#...#..##..#..#.#.#...#..###....#...#..#....#.##...##.##.##.###.###.####.#.#..#####....###......##...#.#..#..#...##.##.##..#...#...#...#..##..#..#.#.#...#..###....#...#..#....#.##...##.##.##.###.###.####.#.#..#####....###......##...#.#..#..#...##.##.##..#...#...#...#..##..#..#.#.#...#..###....#...#..#....#.##...##.##.##.###.###.####.#.#..#####....###......##...#.#..#..#...#
###.####..##.##.####....##.......#####...#.##.#.#...####......#.#......#.....#.###.##..#...#.####.##...#.#.#.#..##.#...#.#..##..##...####..#..####.#.#.###.##.###..##...########..##.##..###.#.#.##.#.#####.#####..#..####..#.####......#.##.##.#....########...#.##...##..##.#.#.......#.#..#.#..##..##.#..#..#...#.#.##.#.#..##.##.#...##.#.#####.##.#####.#..###..####.#..#...##.....########...#.##...##..##.#.#.......#.#..#.#..##..##.#..#..#...#.#.##.#.#..##.##.#...##.#.#####.##.#####.#..###..####.#..#...##.....########...#.##...##..##.#.#.......#.#..#.#..##..##.#..#..#...#.#.##.#.#..##.##.#...##.#.#####.##.#####.#..###..####.#..#...##.....########...#.##...##..##.#.#.......#.#..#.#..##..##.#..#..#...#.#.##.#.#..##.##.#...##.#.#####.##.#####.#..###..####.#..#...##.....########...#.##...##..##.#.#.......#.#..#.#..##..##.#..#..#...#.#.##.#.#..##.##.#...##.#.#####.##.#####.#..###..####.#..#...##.....########...#.##...##..##.#.#.......#.#..#.#..##..##.#..#..#...#.#.##.#.#..##.##.#...##.#.#####.##.##
##..#.###.#...####.##.####.#.#...####..#.##.###.....##...########.#..######......#...####..##.##....#.###..#.....####..##..#.###..#####..#..###..#..#...#....####....#...##.######..#.#..#.##.#.#...#...#.#.###.###......######.#.###.#...#.............#...##.####..#...##.###..##..#...####.##..##..######.#.##..#.###.##..#..#.##.#.....#.....###.#...###...#...#....##..##...#.#.......#...##.####..#...##.###..##..#...####.##..##..######.#.##..#.###.##..#..#.##.#.....#.....###.#...###...#...#....##..##...#.#.......#...##.####..#...##.###..##..#...####.##..##..######.#.##..#.###.##..#..#.##.#.....#.....###.#...###...#...#....##..##...#.#.......#...##.####..#...##.###..##..#...####.##..##..######.#.##..#.###.##..#..#.##.#.....#.....###.#...###...#...#....##..##...#.#.......#...##.####..#...##.###..##..#...####.##..##..######.#.##..#.###.##..#..#.##.#.....#.....###.#...###...#...#....##..##...#.#.......#...##.####..#...##.###..##..#...####.##..##..######.#.##..#.###.##..#..#.##.#.....#.....###.#...
#.#.##.#..##...#..#..###....###.##.#..##.....#...##..#...#.....##.##.#.#...#.#.#.#....#.#.#.##.#.#.....#.######..#..#.###..#....#..#..#......#....###.##.#.####.#..#...#.####.###.#.##.#.###.####..##...#...#..#....#.#.#...#.#.#.####.....####.#######.###..#...##.#.....##.#####...###..###.#...###.....####.###.#..###.....##.#.#.#.#...##..#.....##....#.##..#.##.##.##...#.##..######.###..#...##.#.....##.#####...###..###.#...###.....####.###.#..###.....##.#.#.#.#...##..#.....##....#.##..#.##.##.##...#.##..######.###..#...##.#.....##.#####...###..###.#...###.....####.###.#..###.....##.#.#.#.#...##..#.....##....#.##..#.##.##.##...#.##..######.###..#...##.#.....##.#####...###..###.#...###.....####.###.#..###.....##.#.#.#.#...##..#.....##....#.##..#.##.##.##...#.##..######.###..#...##.#.....##.#####...###..###.#...###.....####.###.#..###.....##.#.#.#.#...##..#.....##....#.##..#.##.##.##...#.##..######.###..#...##.#.....##.#####...###..###.#...###.....####.###.#..###.....##.#.#.#.#...##..#.....##..
#..####.#......###.#.###.##.#.#.#......#..###..#.##.#.#.##.#..##.####.........#.###..####..#..##..##.#.##.#.##.##.##.#####......##.##.#.#...##.#.#..#....####..#.####..#......#.###...#.#.#.###.##.##..##....#.....####...####.#....###...#.#.....#...#...#...###...#####...#####..#....########.###...#..#########..####...#.#.......##..#..##.#...#.#.#........###.###.....#..#..#.#...#...#...###...#####...#####..#....########.###...#..#########..####...#.#.......##..#..##.#...#.#.#........###.###.....#..#..#.#...#...#...###...#####...#####..#....########.###...#..#########..####...#.#.......##..#..##.#...#.#.#........###.###.....#..#..#.#...#...#...###...#####...#####..#....########.###...#..#########..####...#.#.......##..#..##.#...#.#.#........###.###.....#..#..#.#...#...#...###...#####...#####..#....########.###...#..#########..####...#.#.......##..#..##.#...#.#.#........###.###.....#..#..#.#...#...#...###...#####...#####..#....########.###...#..#########..####...#.#.......##..#..##.#...#.#.#
...####.#.####.########.###.....#.#.###..#..#.#...#...#..##.##.##....#.....#...#..##..##.###..##.###.#####.#...######.##.###..#...####.######...#..#...##..#.##....#.#..#...#...####....##..#.#..#.#.#....###..#.###.#.#.##...#.#....#.#.###..#...##.#..#..#.##..#..##..##..#.#####.#...#..##.######..####.###.#####.....##...#.#..###.##.#...###.#.####.#.#.#.#.#.#.#.###.#.##..#...##.#..#..#.##..#..##..##..#.#####.#...#..##.######..####.###.#####.....##...#.#..###.##.#...###.#.####.#.#.#.#.#.#.#.###.#.##..#...##.#..#..#.##..#..##..##..#.#####.#...#..##.######..####.###.#####.....##...#.#..###.##.#...###.#.####.#.#.#.#.#.#.#.###.#.##..#...##.#..#..#.##..#..##..##..#.#####.#...#..##.######..####.###.#####.....##...#.#..###.##.#...###.#.####.#.#.#.#.#.#.#.###.#.##..#...##.#..#..#.##..#..##..##..#.#####.#...#..##.######..####.###.#####.....##...#.#..###.##.#...###.#.####.#.#.#.#.#.#.#.###.#.##..#...##.#..#..#.##..#..##..##..#.#####.#...#..##.######..####.###.#####.....##...#.#..###.##.#...###.#.####.
...#..#...##...#####..##...#..###.#.##......#...##.#.###...#...#.##..##...##.####.#.##.#.###..#..######.##..###.#.#..#.#..#...####.#...#.###.####.....#...#.###..##.#####...#.#####.#...###......#.#.##.#.#...##.##.##....#..##.####......#.#.#.#.##.##...##...##..##...###.#.#.##..#.#...#.....####........#.#..#####.###..####.......#.###...##...###...#.#.####......#....#..#....##.##...##...##..##...###.#.#.##..#.#...#.....####........#.#..#####.###..####.......#.###...##...###...#.#.####......#....#..#....##.##...##...##..##...###.#.#.##..#.#...#.....####........#.#..#####.###..####.......#.###...##...###...#.#.####......#....#..#....##.##...##...##..##...###.#.####..#.#...#.....####........#.#..#####.###..####.......#.###...##...###...#.#.####......#....#..#....##.##...##...##..##...###.#.#.##..#.#...#.....####........#.#..#####.###..####.......#.###...##...###...#.#.####......#....#..#....##.##...##...##..##...###.#.#.##..#.#...#.....####........#.#..#####.###..####.......#.###...##...###..
#..#.###.###......###.#....#.###.#........#........##.###.##.#......#.#...#.##.##...##...#.#.#.####..#.#####.....##.....####.#####.#.#.##.#..##...#.########.###...########...#..##....####.#.######.##.######..#....#.#.##.##.#.###..#...##.###...##.#...#.#.#.#....##.##.#.....#.....#.#..#.##...#.##.#.#....#...#.#.#.#..#.#.####..##.##.......##.....#.###.#.###..#.##....##.#.#..##.#...#.#.#.#....##.##.#.....#.....#.#..#.##...#.##.#.#....#...#.#.#.#..#.#.####..##.##.......##.....#.###.#.###..#.##....##.#.#..##.#...#.#.#.#....##.##.#.....#.....#.#..#.##...#.##.#.#....#...#.#.#.#..#.#.####..##.##.......##.....#.###.#.###..#.##....##.#.#..##.#...#.#.#.#....##.##.#.....#.....#.#..#.##...#.##.#.#....#...#.#.#.#..#.#.####..##.##.......##.....#.###.#.###..#.##....##.#.#..##.#...#.#.#.#....##.##.#.....#.....#.#..#.##...#.##.#.#....#...#.#.#.#..#.#.####..##.##.......##.....#.###.#.###..#.##....##.#.#..##.#...#.#.#.#....##.##.#.....#.....#.#..#.##...#.##.#.#....#...#.#.#.#..#.#.####..##.##.......##.....
#..#...#.##.##.#.#.###.###..##..#.#....##...##.#.#######.##..##.....#.#.##..###.##.#.###...#.##...##.#..#..##.####..##.###.#...###.#...#####.###.#..#.##.####.....#.####....#.##.#.#...##...##....###..#..........###.#.##.#..#.###.###.##########..##.#.###..#..###..##.#..#..##.######..#########.#.##..#....#.#.####.#.########.##.##.#.###.#####.#.###....###..####......#.#.#..#..##.#.###..#..###..##.#..#..##.######..#########.#.##..#....#.#.####.#.########.##.##.#.###.#####.#.###....###..####......#.#.#..#..##.#.###..#..###..##.#..#..##.######..#########.#.##..#....#.#.####.#.########.##.##.#.###.#####.#.###....###..####......#.#.#..#..##.#.###..#..###..##.#..#..##.######..#########.#.##..#....#.#.####.#.########.##.##.#.###.#####.#.###....###..####......#.#.#..#..##.#.###..#..###..##.#..#..##.######..#########.#.##..#....#.#.####.#.########.##.##.#.###.#####.#.###....###..####......#.#.#..#..##.#.###..#..###..##.#..#..##.######..#########.#.##..#....#.#.####.#.########.##.##.#.###.#####.#.##
....#####.#...#..###.#...#####...##..##.......#.##.#.######..###..##.########.###....##.#......#.##.##.###..#...#.#.#.#.#....#.#.##...####...#..##.##..#..####..#...#.....#.##.##...##..#..##.#..##..#..#.....#.#...#....###..##..#..#####.##...#...#.######.......##.#.........#..#...#......#.##...##....#.#...#####...#.#.#.#.####.##...#.#.###..#.###....#...#..##.#..#..##..###...#.######.......##.#.........#..#...#......#.##...##....#.#...#####...#.#.#.#.####.##...#.#.###..#.###....#...#..##.#..#..##..###...#.######.......##.#.........#..#...#......#.##...##....#.#...#####...#.#.#.#.####.##...#.#.###..#.###....#...#..##.#..#..##..###...#.######.......##.#.........#..#...#......#.##...##....#.#...#####...#.#.#.#.####.##...#.#.###..#.###....#...#..##.#..#..##..###...#.######.......##.#.........#..#...#......#.##...##....#.#...#####...#.#.#.#.####.##...#.#.###..#.###....#...#..##.#..#..##..###...#.######.......##.#.........#..#...#......#.##...##....#.#...#####...#.#.#.#.####.##...#.#.###..#.###
.##...##..#...##..####...###.###....##...#####.##.##..###.##.#.#.###.#####..##.#.###..####..######.##.##..###.###...#.###.#....##.....#..#.#..#.#######..#.###..##.#.....##.....#...##.###..#..##.###...#........##.#...####.#.####.##..#.###.##..##.##..######......####.##.####.#...#..###.#.###..#..##.###..#.#..##.#...##....#..#.#...##...####...#.#.#.##..######..##..##.#####.##.##..######......####.##.####.#...#..###.#.###..#..##.###..#.#..##.#...##....#..#.#...##...####...#.#.#.##..######..##..##.#####.##.##..######......####.##.####.#...#..###.#.###..#..##.###..#.#..##.#...##....#..#.#...##...####...#.#.#.##..######..##..##.#####.##.##..######......####.##.####.#...#..###.#.###..#..##.###..#.#..##.#...##....#..#.#...##...####...#.#.#.##..######..##..##.#####.##.##..######......####.##.####.#...#..###.#.###..#..##.###..#.#..##.#...##....#..#.#...##...####...#.#.#.##..######..##..##.#####.##.##..######......####.##.####.#...#..###.#.###..#..##.###..#.#..##.#...##....#..#.#...##...####...#.#
.....##.#...####.##.#.##...#...#.#....#.##.########..##..#.#..#...#.....#.#.#.#..###.##......###.#....###..####...#....#.#..#.###..#..#.##.#.#....#...#...###.##.#.#.#.##.#..###.##..#...#...##...#....#.#...##....###....#...#..##.###.#..#.#..######.##.#.##...#.##.##..######.#......###.###...#..#######.#.#..#.#.#....###.#....###.#..#..#......#.##....#.##....#.###...##.#...#####.##.#.##...#.##.##..######.#......###.###...#..#######.#.#..#.#.#....###.#....###.#..#..#......#.##....#.##....#.###...##.#...#####.##.#.##...#.##.##..######.#......###.###...#..#######.#.#..#.#.#....###.#....###.#..#..#......#.##....#.##....#.###...##.#...#####.##.#.##...#.##.##..######.#......###.###...#..#######.#.#..#.#.#....###.#....###.#..#..#......#.##....#.##....#.###...##.#...#####.##.#.##...#.##.##..######.#......###.###...#..#######.#.#..#.#.#....###.#....###.#..#..#......#.##....#.##....#.###...##.#...#####.##.#.##...#.##.##..######.#......###.###...#..#######.#.#..#.#.#....###.#....###.#..#..#......#.##
#.#.##...#..#.#.#..####.#.#..#.##.##.##.#....####.##.####.##..#...#...........#...#.##.###.#...#.#..#.###..#.....#.#.##.#..##..#.###..#...#..##...####.#.##.#..#...#.#.###..#..#....#.#..###..#.#....###.#...##.###..####...###..#..##.##.###.##...#.#.......##.#####.#.#.#.##..######.#.##.#####......####..#..#.###.....####.###.#.##.#....#.##.#.##...######..#####.###.#.###.###..#.#.......##.#####.#.#.#.##..######.#.##.#####......####..#..#.###.....####.###.#.##.#....#.##.#.##...######..#####.###.#.###.###..#.#.......##.#####.#.#.#.##..######.#.##.#####......####..#..#.###.....####.###.#.##.#....#.##.#.##...######..#####.###.#.###.###..#.#.......##.#####.#.#.#.##..######.#.##.#####......####..#..#.###.....####.###.#.##.#....#.##.#.##...######..#####.###.#.###.###..#.#.......##.#####.#.#.#.##..######.#.##.#####......####..#..#.###.....####.###.#.##.#....#.##.#.##...######..#####.###.#.###.###..#.#.......##.#####.#.#.#.##..######.#.##.#####......####..#..#.###.....####.###.#.##.#....#.##.#.##...
##....###.#.#.#..##..###....#...###..#.....###..#..##..###.#..##...#.#....######.#..###...##..#...#.##.#......#.#.#.#.##..#.#...###.#.#####.####..###.#.###......#.##.........##...#..#####.##..##...##.#####..##.##.#.####.###...##.######...##.#..##..#.###.#..####.#..###.##.##.##..#.....####..#...###..##...#.#...#..##...#..#.##.###.#.##...###.##....#.#..##.##.##.###.##....#..##..#.###.#..####.#..###.##.##.##..#.....####..#...###..##...#.#...#..##...#..#.##.###.#.##...###.##....#.#..##.##.##.###.##....#..##..#.###.#..####.#..###.##.##.##..#.....####..#...###..##...#.#...#..##...#..#.##.###.#.##...###.##....#.#..##.##.##.###.##....#..##..#.###.#..####.#..###.##.##.##..#.....####..#...###..##...#.#...#..##...#..#.##.###.#.##...###.##....#.#..##.##.##.###.##....#..##..#.###.#..####.#..###.##.##.##..#.....####..#...###..##...#.#...#..##...#..#.##.###.#.##...###.##....#.#..##.##.##.###.##....#..##..#.###.#..####.#..###.##.##.##..#.....####..#...###..##...#.#...#..##...#..#.##.###.#.##...###.##.
..##....##..#.###...#.###.####...##.#.###..###..#.#..##.###..#.##....#.#.#..#.#.#....##.#####.#.#...####....##.###.#.....#..#...#....#...##.###.#.#####.##.###..###..#.....#.#......####.#####..###.##..######.#####....##..#.#.##..#....###.#.#..###..#.#.##...#.#.##...####...#...#.####..#.##.#.##.#........##.#..#.##..#..##.#...##..#####.#.#...#.#...####.#...#.#.##.########..###..#.#.##...#.#.##...####...#...#.####..#.##.#.##.#........##.#..#.##..#..##.#...##..#####.#.#...#.#...####.#...#.#.##.########..###..#.#.##...#.#.##...####...#...#.####..#.##.#.##.#........##.#..#.##..#..##.#...##..#####.#.#...#.#...####.#...#.#.##.########..###..#.#.##...#.#.##...####...#...#.####..#.##.#.##.#........##.#..#.##..#..##.#...##..#####.#.#...#.#...####.#...#.#.##.########..###..#.#.##...#.#.##...####...#...#.####..#.##.#.##.#........##.#..#.##..#..##.#...##..#####.#.#...#.#...####.#...#.#.##.########..###..#.#.##...#.#.##...####...#...#.####..#.##.#.##.#........##.#..#.##..#..##.#...##..#####.#.#...#.#.
#.##.#.#..##.####.#.####.#...####..####...#.###..####..#....###.#.#.##.....#####..####...#..#...#.##.#....##..#.#..#..#.#.#.#######.....####.#.......######.###.#.####..#.#....####.#.#.####.##.#.#..#...#.##.##.#.##.#.####..#.#.#.#..#.###..##.#.#.#.#.###.#....##.....#.##.#.##...###.##..###..#.#.#...###.....#.#...#.#.#...#..#.#.##.......#..#...##...##...#...#.##..#..#..##.#.#.#.#.###.#....##.....#.##.#.##...###.##..###..#.#.#...###.....#.#...#.#.#...#..#.#.##.......#..#...##...##...#...#.##..#..#..##.#.#.#.#.###.#....##.....#.##.#.##...###.##..###..#.#.#...###.....#.#...#.#.#...#..#.#.##.......#..#...##...##...#...#.##..#..#..##.#.#.#.#.###.#....##.....#.##.#.##...###.##..###..#.#.#...###.....#.#...#.#.#...#..#.#.##.......#..#...##...##...#...#.##..#..#..##.#.#.#.#.###.#....##.....#.##.#.##...###.##..###..#.#.#...###.....#.#...#.#.#...#..#.#.##.......#..#...##...##...#...#.##..#..#..##.#.#.#.#.###.#....##.....#.##.#.##...###.##..###..#.#.#...###.....#.#...#.#.#...#..#.#.##.......#..#...##
##.#...#.#...#..###...#...#.####.##.#.####.#.###.##....#...##.####.#..#..#..####..#..##..##.####.##.###....#..##......##..####.##..###.##....#.#..#.###..#....###......###.........#.##.###.###..#....#....#.#.##.##.....#.#.....####..#..#...#.####...#..##...#..##..#..#..#.##.....#..#..###.#..#...#.#.##......#...###...#....##........#.........#####.#.#.###.##..#.###.###..#.###...#..##...#..##..#..#..#.#......#..#..###.#..#...#.#.##......#...###...#....##........#.........#####.#.#.###.##..#.###.###..#.###...#..##...#..##..#..#..#.#......#..#..###.#..#...#.#.##......#...###...#....##........#.........#####.#.#.###.##..#.###.###..#.###...#..##...#..##..#..#..#.#......#..#..###.#..#...#.#.##......#...###...#....##........#.........#####.#.#.###.##..#.###.###..#.###...#..##...#..##..#..#..#.#......#..#..###.#..#...#.#.##......#...###...#....##........#.........#####.#.#.###.##..#.###.###..#.###...#..##...#..##..#..#..#.#......#..#..###.#..#...#.#.##......#...###...#....##........#.........####
#..#..#...#....#..#..##...##....#####..#.#.#..#....###.####..##.#.#..#######.#..#.##.#.#.####...####..#..#..##..#..#...##....##.#.##.....#.#....##..#.##.###...###..#.#....###########...#.#..#..#......#......#.##.###.#.#.#..####.##.####...#......##.##..#.##.##.###..#.###..####.###.#.###..#...#####....##.#........#.#######.##.....##.....#..#...#.##...###.#.###..##.#..####....##.##..#.##.##.###..#.###..####.###.#.###..#...#####....##.#........#.#######.##.....##.....#..#...#.##...###.#.###..##.#..####....##.##..#.##.##.###..#.###..####.###.#.###..#...#####....##.#........#.#######.##.....##.....#..#...#.##...###.#.###..##.#..####....##.##..#.##.##.###..#.###..####.###.#.###..#...#####....##.#........#.#######.##.....##.....#..#...#.##...###.#.###..##.#..####....##.##..#.##.##.###..#.###..####.###.#.###..#...#####....##.#........#.#######.##.....##.....#..#...#.##...###.#.###..##.#..####....##.##..#.##.##.###..#.###..####.###.#.###..#...#####....##.#........#.#######.##.....##.....#..#...#
..#.#..#.########....######.##..#.##.###....#....#...#..###.##.#...#..##..##....#....#..###...##.###...........#........#.#..#####...#....#.#....##..####...#.#...#..#..##.##.######.##.#######..##..#..#.#..#...#..######.#....#.#...#.#......#.#..#....###.#.#..####....#..#..##...########.####.###............##.#.#.##.##.##..###..#.#.#......#.##...####.#.#..##.#....###..#..#..#....###.#.#..####....#..#..##...########.####.###............##.#.#.##.##.##..###..#.#.#......#.##...####.#.#..##.#....###..#..#..#....###.#.#..####....#..#..##...########.####.###............##.#.#.##.##.##..###..#.#.#......#.##...####.#.#..##.#....###..#..#..#....###.#.#..####....#..#..##...########.####.###............##.#.#.##.##.##..###..#.#.#......#.##...####.#.#..##.#....###..#..#..#....###.#.#..####....#..#..##...########.####.###............##.#.#.##.##.##..###..#.#.#......#.##...####.#.#..##.#....###..#..#..#....###.#.#..####....#..#..##...########.####.###............##.#.#.##.##.##..###..#.#.#......#.##..
.#..#.....#..#.#.###..#.#.##.#######.####.##.##....#..#.##..#...#...###...###.#####..#..##..#....###.#.#..#.#...##.#.#..##.#####.#.####.#..#.#.#.##.###.#...###.#.####..##......#.##..###.###...#.##..###...#.####...#.###..#.#..#...#.###...#..#..#.###.......#...#...##..###.###...#####..##.#.#.#..###..##..#.#..#.#########.#..#.#.###..#.#.##.####..#.##.#..#.###..#.#.###..#....#.###.......#...#...##..###.###...#####..##.#.#.#..###..##..#.#..#.#########.#..#.#.###..#.#.##.####..#.##.#..#.###..#.#.###..#....#.###.......#...#...##..###.###...#####..##.#.#.#..###..##..#.#..#.#########.#..#.#.###..#.#.##.####..#.##.#..#.###..#.#.###..#....#.###.......#...#...##..###.###...#####..##.#.#.#..###..##..#.#..#.#########.#..#.#.###..#.#.##.####..#.##.#..#.###..#.#.###..#....#.###.......#...#...##..###.###...#####..##.#.#.#..###..##..#.#..#.#########.#..#.#.###..#.#.##.####..#.##.#..#.###..#.#.###..#....#.###.......#...#...##..###.###...#####..##.#.#.#..###..##..#.#..#.#########.#..#.#.###..#.#.##.####..
####.#.#...##......#.#..#....#.#.#####.##....##..###...######.##...##.#.####.####..#######..##.#...#.######.....#.....#..##..##.##.#..#...###..###.#.#.##.#.###...######...#..###..#.#...#...#.###.###.........#.##.#...#..#.##..#.#.##.##..#.#..####.#..#..##.##..###......#####.##....###.#.....##....#.##..######.##..#.#######.##...##.#########.###....###...##.#....#.##....######.#..#..##.##..###......#####.##....###.#.....##....#.##..######.##..#.#######.##...##.#########.###....###...##.#....#.##....######.#..#..##.##..###......#####.##....###.#.....##....#.##..######.##..#.#######.##...##.#########.###....###...##.#....#.##....######.#..#..##.##..###......#####.##....###.#.....##....#.##..######.##..#.#######.##...##.#########.###....###...##.#....#.##....######.#..#..##.##..###......#####.##....###.#.....##....#.##..######.##..#.#######.##...##.#########.###....###...##.#....#.##....######.#..#..##.##..###......#####.##....###.#.....##....#.##..######.##..#.#######.##...##.#########.###.
.###.##.#...#.#.#.###....#...#..##..##....##.......#......###...#.###....##....#...###.##.####.#..#.##..#...###..##.#..#...##...####..#..##..#.#.#..#.##.#.#...##......####...####.######.#...##.###..#.###.#.####.#...###..####...####.......##.#.#.....###.#######..#.#.###...#...##.#.######..#####.#....#.#...########..##...#..#...#..#####..#.#.#.##.##..#....#.#.####.#......#.#.....###.#######..#.#.###...#...##.#.######..#####.#....#.#...########..##...#..#...#..#####..#.#.#.##.##..#....#.#.####.#......#.#.....###.#######..#.#.###...#...##.#.######..#####.#....#.#...########..##...#..#...#..#####..#.#.#.##.##..#....#.#.####.#......#.#.....###.#######..#.#.###...#...##.#.######..#####.#....#.#...########..##...#..#...#..#####..#.#.#.##.##..#....#.#.####.#......#.#.....###.#######..#.#.###...#...##.#.######..#####.#....#.#...########..##...#..#...#..#####..#.#.#.##.##..#....#.#.####.#......#.#.....###.#######..#.#.###...#...##.#.######..#####.#....#.#...########..##...#..#...#..#####..#.#.#.#
##..######..#######.##..###..###...##.#.#..##.....###...#........###......#..#.####...#..#...#####.#.##.#..#..#....##...##.#........####....#.##.###.#.####..#.###.#####.#.#.#.###..##....###...##.#.....#####.####..##.#.#.#..#.##.###...#.....#.#...#...#.....#.##.###...#..#.#...#..###.#...###...#...#.##....#.####.#..##.####..##......#.###.####.###.#.##.....#.###..##...##...#...#...#.....#.##.###...#..#.#...#..###.#...###...#...#.##....#.####.#..##.####..##......#.###.####.###.#.##.....#.###..##...##...#...#...#.....#.##.###...#..#.#...#..###.#...###...#...#.##....#.####.#..##.####..##......#.###.####.###.#.##.....#.###..##...##...#...#...#.....#.##.###...#..#.#...#..###.#...###...#...#.##....#.####.#..##.####..##......#.###.####.###.#.##.....#.###..##...##...#...#...#.....#.##.###...#..#.#...#..###.#...###...#...#.##....#.####.#..##.####..##......#.###.####.###.#.##.....#.###..##...##...#...#...#.....#.##.###...#..#.#...#..###.#...###...#...#.##....#.####.#..##.####..##......#.###.####.##
######.#####........###...##..####.######.##.#######.#......#.#....#........#.##########....#.##.###...#..###..########..##..##..#..#..#..#..#...###....####..#.###.####.##.#.#.###...##..####.##.#...####...##.#.#..#..#...##.##..####.######.#...#.......#.#..##.##...##..##....####..####...###.#.####..#.##..###..#.##.#####.#...##..#.......##..#.##.###..#.#.....#####.....###..#.......#.#..##.##...##..##....####..####...###.#.####..#.##..###..#.##.#####.#...##..#.......##..#.##.###..#.#.....#####.....###..#.......#.#..##.##...##..##....####..####...###.#.####..#.##..###..#.##.#####.#...##..#.......##..#.##.###..#.#.....#####.....###..#.......#.#..##.##...##..##....####..####...###.#.####..#.##..###..#.##.#####.#...##..#.......##..#.##.###..#.#.....#####.....###..#.......#.#..##.##...##..##....####..####...###.#.####..#.##..###..#.##.#####.#...##..#.......##..#.##.###..#.#.....#####.....###..#.......#.#..##.##...##..##....####..####...###.#.####..#.##..###..#.##.#####.#...##..#.......##..#.##
##.#.##.#.##.#..###....#..##.##.#.##.##.#.#.##..#..#...#.###..##.###.#.##..##..###..#..#####..#####........#####.#.#.#.##..#...##..###..#...##..#..###.#.##..#.#..##.##.#.#.#.#.....#...#..###.#...#.###.#...##....#.##.#..#####.##.#..##..#.#....#...#.#..#..#####.#.#.##....##..#.##.##.#..#.#......###.#.#.....##..#..##..##.#..##.#.#..#....#.#.#.....###.#.###.######.##..#.....#...#.#..#..#####.#.#.##....##..#.##.##.#..#.#......###.#.#.....##..#..##..##.#..##.#.#..#....#.#.#.....###.#.###.######.##..#.....#...#.#..#..#####.#.#.##....##..#.##.##.#..#.#......###.#.#.....##..#..##..##.#..##.#.#..#....#.#.#.....###.#.###.######.##..#.....#...#.#..#..#####.#.#.##....##..#.##.##.#..#.#......###.#.#.....##..#..##..##.#..##.#.#..#....#.#.#.....###.#.###.######.##..#.....#...#.#..#..#####.#.#.##....##..#.##.##.#..#.#......###.#.#.....##..#..##..##.#..##.#.#..#....#.#.#.....###.#.###.######.##..#.....#...#.#..#..#####.#.#.##....##..#.##.##.#..#.#......###.#.#.....##..#..##..##.#..##.#.#..#....#.#.#....
...#.#..#.#....##.#.#.#..##.#.#.##.#.#.#.###.##.###..#....#####.###..#..#..##..#.##.......#.##.#.......#.##.#...#.###.....####.####.###.###..##.#.#..#.###..#...#..####.####...#.#....#.##.##.##.##..###.#.#####.#.#....######.......##.##.#...#...##....#.###..#####.##.#.#.##.#.#.#.#..####.#.#.##....#############..##..##......#####..##.#.....##..#...#...#####...###..#.....#...##....#.###..#####.##.#.#.##.#.#.#.#..####.#.#.##....#############..##..##......#####..##.#.....##..#...#...#####...###..#.....#...##....#.###..#####.##.#.#.##.#.#.#.#..####.#.#.##....#############..##..##......#####..##.#.....##..#...#...#####...###..#.....#...##....#.###..#####.##.#.#.##.#.#.#.#..####.#.#.##....#############..##..##......#####..##.#.....##..#...#...#####...###..#.....#...##....#.###..#####.##.#.#.##.#.#.#.#..####.#.#.##....#############..##..##......#####..##.#.....##..#...#...#####...###..#.....#...##....#.###..#####.##.#.#.##.#.#.#.#..####.#.#.##....#############..##..##......#####..##.#.....##..#.
#...#.####.#..###..#.##..##.###...#....#..######.#.##.###.#.#####..##.##..#.#.#.##.##.##.#.#.#.#.##.#...#.......#...##.####....######.####.....#.###.#...#...#####.###.#####.##.##..###...#..###...##.#.....###.######.##.###..#..#...#.#.#.....##.#......#.#.##.#.####..#...#.#..#.#..##..###...#######..#.##.#.#.###.####..#.#.##.#.#.##.#...##.#.###.#####..#..#.##...#...#..#...#.#......#.#.##.#.####..#...#.#..#.#..##..###...#######..#.##.#.#.###.####..#.#.##.#.#.##.#...##.#.###.#####..#..#.##...#...#..#...#.#......#.#.##.#.####..#...#.#..#.#..##..###...#######..#.##.#.#.###.####..#.#.##.#.#.##.#...##.#.###.#####..#..#.##...#...#..#...#.#......#.#.##.#.####..#...#.#..#.#..##..###...#######..#.##.#.#.###.####..#.#.##.#.#.##.#...##.#.###.#####..#..#.##...#...#..#...#.#......#.#.##.#.####..#...#.#..#.#..##..###...#######..#.##.#.#.###.####..#.#.##.#.#.##.#...##.#.###.#####..#..#.##...#...#..#...#.#......#.#.##.#.####..#...#.#..#.#..##..###...#######..#.##.#.#.###.####..#.#.##.#.#.##.#...##.#.###.#
.#..#..#..#..##...#.###..#..#...###.##.#...#.#.##.......#####.##..###....#....#####.##.#...##..#...#..##.#.#.#.######..##.#.#..#.#.###.##.##..#.#.#.#...####.#..#.#.#.###.#.....#.....#....#.#.......##......#....##..####.##..##.#.##.......###.#..####......#.........#.#.#...##.####...#.###.#..###.####..#......#...#....####.##.#...........####...#..#.#.##.#.....#..#.####.###..####......#.........#.#.#...##.####...#.###.#..###.####..#......#...#....####.##.#...........####...#..#.#.##.#.....#..#.####.###..####......#.........#.#.#...##.####...#.###.#..###.####..#......#...#....####.##.#...........####...#..#.#.##.#.....#..#.####.###..####......#.........#.#.#...##.####...#.###.#..###.####..#......#...#....####.##.#...........####...#..#.#.##.#.....#..#.####.###..####......#.........#.#.#...##.####...#.###.#..###.####..#......#...#....####.##.#...........####...#..#.#.##.#.....#..#.####.###..####......#.........#.#.#...##.####...#.###.#..###.####..#......#...#....####.##.#...........####...#
####.#.#.#.##.#..#....##.##..####....####..#..#...#...#.###..#..###....#...####....#..#......#....#...##.###.###.#.##.##.#..###..#.#..#.#####..##....##.##.####.#.##..##...#.##......###.......#.#..##..#.#.....#.#...#..##..#########..#.#.#.##......####.###..#...#..#..#..#.#...#.##.#.####....#...#.##.####..##....#.###.####..#..#..#.#####..####..##.#..####...#.#.####.#..........####.###..#...#..#..#..#.#...#.##.#.####....#...#.##.####..##....#.###.####..#..#..#.#####..####..##.#..####...#.#.####.#..........####.###.##...#..#..#..#.#...#.##.#.####....#...#.##.####..##....#.###.####..#..#..#.#####..####..##.#..####...#.#.####.#..........####.###..#...#..#..#..#.#...#.##.#.####....#...#.##.####..##....#.###.####..#..#..#.#####..####..##.#..####...#.#.####.#..........####.###..#...#..#..#..#.#...#.##.#.####....#...#.##.####..##....#.###.####..#..#..#.#####..####..##.#..####...#.#.####.#..........####.###..#...#..#..#..#.#...#.##.#.####....#...#.##.####..##....#.###.####..#..#..#.#####..####..#
.#..##.##..##.#...#..##...#.#....##..##.#.##.###..#..#.#...#..#.#.###..##..#.#.##.#..#....#.#........##....#.#####.#.#.##.##..####....#.#..###.#.#.#..#..#.#.#..##..#.####.#..##.#..###.....#.#..##.#.#.#..#...#.#####.##.#.#...###.#..#...#.############.#.#.#..#.#..####......#.....###...#..###.#..####.####.#..##......#..##..#.##....#.##.#.######....#..###.##.#####.#..#..##.########.#.#.#..#.#..####......#.....###...#..###.#..####.####.#..##......#..##..#.##....#.##.#.######....#..###.##.#####.#..#..##.########.#.#.#..#.#..####......#.....###...#..###.#..####.####.#..##......#..##..#.##....#.##.#.######....#..###.##.#####.#..#..##.########.#.#.#..#.#..####......#.....###...#..###.#..####.####.#..##......#..##..#.##....#.##.#.######....#..###.##.#####.#..#..##.########.#.#.#..#.#..####......#.....###...#..###.#..####.####.#..##......#..##..#.##....#.##.#.######....#..###.##.#####.#..#..##.########.#.#.#..#.#..####......#.....###...#..###.#..####.####.#..##......#..##..#.##....#.##.#.######..
#...####..##.#.###.#.##....##.##....#...########.####..#.#...###........#.#####.#.###.#.#.###..##...##...##.......##.###.#.#...#..###.##.#.#.###.######.#........###.##.####.##.#.##..#.#.#..#####.#.###..##..##..######...#...#.###.##..##.#.....#.#.#....#.####.####.###.#.#.#######..#..##...#.##########.....#.##..#.#..#.#.###...#.#####...#.....#.#..#####..####.##..###..####.#.#.#....#.####.####.###.#.#.#######..#..##...#.##########.....#.##..#.#..#.#.###...#.#####...#....##.#..#####..####.##..###..####.#.#.#....#.####.####.###.#.#.#######..#..##...#.##########.....#.##..#.#..#.#.###...#.#####...#.....#.#..#####..####.##..###..####.#.#.#....#.####.####.###.#.#.#######..#..##...#.##########.....#.##..#.#..#.#.###...#.#####...#.....#.#..#####..####.##..###..####.#.#.#....#.####.####.###.#.#.#######..#..##...#.##########.....#.##..#.#..#.#.###...#.#####...#.....#.#..#####..####.##..###..####.#.#.#....#.####.####.###.#.#.#######..#..##...#.##########.....#.##..#.#..#.#.###...#.#####...#.....#.#
###.#.##..####..#.#..##.##.#...##...###..###.####...#.###..#.#...#..##.##..###.#....##....######.##...####.#####.#.....########.....#..#..##.##.#....#.#...##...#####...##...#.###.###.....#.#.#####.#.#.#...###..###....##.###...#.#....##.#......#.#.##.#..#....######..###...#..#.##....####.##.#.#.##.##..#.##......##...#..###....####.#.#.##....##.###.###..#####..........##...#.#.##.#..#....######..###...#..#.##....####.##.#.#.##.##..#.##......##...#..###....####.#.#.##....##.###.###..#####..........##...#.#.##.#..#....######..###...#..#.##....####.##.#.#.##.##..#.##......##...#..###....####.#.#.##....##.###.###..#####..........##...#.#.##.#..#....######..###...#..#.##....####.##.#.#.##.##..#.##......##...#..###....####.#.#.##....##.###.###..#####..........##...#.#.##.#..#....######..###...#..#.##....####.##.#.#.##.##..#.##......##...#..###....####.#.#.##....##.###.###..#####..........##...#.#.##.#..#....######..###...#..#.##....####.##.#.#.##.##..#.##......##...#..###....####.#.#.##....##.
.....#.###.##.#.###...##..#....####.....########.....#...#......#.##.##.####..#..###..#.##.#..#.##.#.##.##..#.####.#.#..#.#..#..#..###..#.###......##..##...###..#.#.#....#.###.##.##.##########.##.###...#.#..#.##.##.#..#..#.##.#..#...#...##.#..#..##..####.#..#.#.#########..##..#.###..#.###..#..#..##.###..##......#....#...#.#....#..#..########..##.#...##..##.##....#.##.....#..##..####.#..#.#.#########..##..#.###..#.###..#..#..##.###..##......#....#...#.#....#..#..########..##.#...##..##.##....#.##.....#..##..####.#..#.#.#########..##..#.###..#.###..#..#..##.###..##......#....#...#.#....#..#..########..##.#...##..##.##....#.##.....#..##..####.#..#.#.#########..##..#.###..#.###..#..#..##.###..##......#....#...#.#....#..#..########..##.#...##..##.##....#.##.....#..##..####.#..#.#.#########..##..#.###..#.###..#..#..##.###..##......#....#...#.#....#..#..########..##.#...##..##.##....#.##.....#..##..####.#..#.#.#########..##..#.###..#.###..#..#..##.###..##......#....#...#.#....#..#..########..
.#.##...#..####.##..###.#....#..###....#.##.########...##.#.##.#.#....##.#.#...######.#.....##.####..#....#..#..###.....##.######.....###.#..##.#.##.#.####..#####..##.##.#..####.#........###..#..#...#..#......#.##.####..#.#.#.#....##...#.#.########.###...##.#.#.##.#.#.##...#.#....#.##.#....###.#.####.#.#..########....#....##.###.....###..##..#..###.#..#..#...##...#....########.###...##.#.#.##.#.#.##...#.#....#.##.#....###.#.####.#.#..########....#....##.###.....###..##..#..###.#..#..#...##...#....########.###...##.#.#.##.#.#.##...#.#....#.##.#....###.#.####.#.#..########....#....##.###.....###..##..#..###.#..#..#...##...#....########.###...##.#.#.##.#.#.##...#.#....#.##.#....###.#.####.#.#..########....#....##.###.....###..##..#..###.#..#..#...##...#....########.###...##.#.#.##.#.#.##...#.#....#.##.#....###.#.####.#.#..########....#....##.###.....###..##..#..###.#..#..#...##...#....########.###...##.#.#.##.#.#.##...#.#....#.##.#....###.#.####.#.#..########....#....##.###.....###..##..#
..##...###..####..#.#.#..###.####..#...##..######..#..#..##.#...#.#######...#####...#..#..##.###..#.#.#.#.######..#####...#..##..#.##..####.#....###.#.......#.#...#....#.##..#.####.#...#...##..#.#.......#..########........##........#######.###.#.###.#.###..#.##....#.##.##..###.#.###.........###..#.###.#####..#.##.#....###.#.####......##.#.######..##....#.#..#....#.#.#.###.#.###.#.###..#.##....#.##.##..###.#.###.........###..#.###.#####..#.##.#....###.#.####......##.#.######..##....#.#..#....#.#.#.###.#.###.#.###..#.##....#.##.##..###.#.###.........###..#.###.#####..#.##.#....###.#.####......##.#.######..##....#.#..#....#.#.#.###.#.###.#.###..#.##....#.##.##..###.#.###.........###..#.###.#####..#.##.#....###.#.####......##.#.######..##....#.#..#....#.#.#.###.#.###.#.###..#.##....#.##.##..###.#.###.........###..#.###.#####..#.##.#....###.#.####......##.#.######..##....#.#..#....#.#.#.###.#.###.#.###..#.##....#.##.##..###.#.###.........###..#.###.#####..#.##.#....###.#.####......##.#.####
.####...#.......####.###.###....#.#.#.#....#.#.##.##.##.######..#....#...#.#.#.#####.##.#..#####...#.####..#...##...#...###.##..####.#.#.###..#..#....##.#..##.###.###..####..#..#...#....#.#...###.#####.##.##.#.....#.##......#....##..#.##..#..###.#.####..#..##..##...##..####...####.##..####.##.####.#.#..##.##.##.#...#..##.####....#.##.#....###..#....#####.#......##.###.#.###.#.####..#..##..##...##..####...####.##..####.##.####.#.#..##.##.##.#...#..##.####....#.##.#....###..#....#####.#......##.###.#.###.#.####..#..##..##...##..####...####.##..####.##.####.#.#..##.##.##.#...#..##.####....#.##.#....###..#....#####.#......##.###.#.###.#.####..#..##..##...##..####...####.##..####.##.####.#.#..##.##.##.#...#..##.####....#.##.#....###..#....#####.#......##.###.#.###.#.####..#..##..##...##..####...####.##..####.##.####.#.#..##.##.##.#...#..##.####....#.##.#....###..#....#####.#......##.###.#.###.#.####..#..##..##...##..####...####.##..####.##.####.#.#..##.##.##.#...#..##.####....#.##.#....###.
##.#.#.#...##..##.#####.###...#.###..#.#..##.#..####.#.#...#.#....#.#.###.....###..##.#.#..##..##..#........#....###.###...##.#.##..#...#.#..#####..##..##..##....#....#.#.#.##.###.#####.##..#.#.......#..#..######.#.#...#.#.#..###...#.....####...#....#.#####.#....#..#.###.##.#......##...###..#.#......#..######.##..#..###.####..####..#...#.#####...##..#...........#....#..#...#....#.#####.#....#..#.###.##.#......##...###..#.#......#..######.##..#..###.####..####..#...#.#####...##..#...........#....#..#...#....#.#####.#....#..#.###.##.#......##...###..#.#......#..######.##..#..###.####..####..#...#.#####...##..#...........#....#..#...#....#.#####.#....#..#.###.##.#......##...###..#.#......#..######.##..#..###.####..####..#...#.#####...##..#...........#....#..#...#....#.#####.#....#..#.###.##.#......##...###..#.#......#..######.##..#..###.####..####..#...#.#####...##..#...........#....#..#...#....#.#####.#....#..#.###.##.#......##...###..#.#......#..######.##..#..###.####..####..#...#.#####
...##..#..#.##..##.##.#.####.#..###..###.#..#.....#..#..#.#.##.###...#.##..#.##.#..#.##.#.#.###...##.#..#.#.###.#.##..##..##....###....#..#..###.#.....####.#..#.#.....##...#######....#.##.#......####..########..#.#####...###.##.##.###.#.#...##.#.#.#..###..##.#..####...##.#.....###...##..#.###..##.##.##..#.#.##..##.#######...#####..#....#..#.#.###.#.#.###..###.###..##.####.#.#.#..###..##.#..####...##.#.....###...##..#.###..##.##.##..#.#.##..##.#######...#####..#....#..#.#.###.#.#.###..###.###..##.####.#.#.#..###..##.#..####...##.#.....###...##..#.###..##.##.##..#.#.##..##.#######...#####..#....#..#.#.###.#.#.###..###.###..##.####.#.#.#..###..##.#..####...##.#.....###...##..#.###..##.##.##..#.#.##..##.#######...#####..#....#..#.#.###.#.#.###..###.###..##.####.#.#.#..###..##.#..####...##.#.....###...##..#.###..##.##.##..#.#.##..##.#######...#####..#....#..#.#.###.#.#.###..###.###..##.####.#.#.#..###..##.#..####...##.#.....###...##..#.###..##.##.##..#.#.##..##.#######...#####..#....#..#.#.
.##..##.......##..###...######..#..#.#.#.##.####..#..#####..####..#...##..###..##...####.#..#.###.##..#..#...###..#..###..##..#.##..###....##.#...####...#..##.#..####...#.####.####.......#...##.#....####.#.#..##......#.#.#####.####..###.#.##.###......#..###..#...#..##.#.#.#..###.#.#.....#.#...#.#..##.#..#..#.........#.#.###.#.#...#....##..####.#.#....#...#.#.#.#.###.##..###......#..###..#...#..##.#.#.#..###.#.#.....#.#...#.#..##.#..#..#.........#.#.###.#.#...#....##..####.#.#....#...#.#.#.#.###.##..###......#..###..#...#..##.#.#.#..###.#.#.....#.#...#.#..##.#..#..#.........#.#.###.#.#...#....##..####.#.#....#...#.#.#.#.###.##..###......#..###..#...#..##.#.#.#..###.#.#.....#.#...#.#..##.#..#..#.........#.#.###.#.#...#....##..####.#.#....#...#.#.#.#.###.##..###......#..###..#...#..##.#.#.#..###.#.#.....#.#...#.#..##.#..#..#.........#.#.###.#.#...#....##..####.#.#....#...#.#.#.#.###.##..###......#..###..#...#..##.#.#.#..###.#.#.....#.#...#.#..##.#..#..#.........#.#.###.#.#...#....##..####
.###.#...####..####..##.#..#..##..##...#..##.#..##.###.#.#...#...#....###..#.##......#...#....#.###.##....#.##.##..#.####.#..##..##.####..##..###..#..#.##...##...#####.....#######.###.#.#.##.#...#.#..##.#..#.....####..#.#.#...##..#.#.....#.##.####.##.###..###.#.#...##.#..#..####..#.##..##.######...##.####.###..#...#..#.#..##...##..#.####.#.##.#.#......#.#####...#.##...##.####.##.###..###.#.#...##.#..#..####..#.##..##.######...##.####.###..#...#..#.#..##...##..#.####.#.##.#.#......#.#####...#.##...##.####.##.###..###.#.#...##.#..#..####..#.##..##.######...##.####.###..#...#..#.#..##...##..#.####.#.##.#.#......#.#####...#.##...##.####.##.###..###.#.#...##.#..#..####..#.##..##.######...##.####.###..#...#..#.#..##...##..#.####.#.##.#.#......#.#####...#.##...##.####.##.###..###.#.#...##.#..#..####..#.##..##.######...##.####.###..#...#..#.#..##...##..#.####.#.##.#.#......#.#####...#.##...##.####.##.###..###.#.#...##.#..#..####..#.##..##.######...##.####.###..#...#..#.#..##...##..#.####.#.##.
.#.#.###......#.###.....#.##.####..##.####...#.........#.##...#...###....#..########.#..#......#..#.#..##.#.#...###.#.###.####.#...#..#.#..##.####.###..##.#..#.#.##......####.#####..#..#.######..#...#..#.#..#########.#.....####...#....#..##..#..#.#.....#.###.######.######.##.#...#.###..#........#.#....#######.##..#.#.....#...#.....##....###..#...#.#.#.###.#.#..##...#.##.#..#.#.....#.###.######.######.##.#...#.###..#........#.#....#######.##..#.#.....#...#.....##....###..#...#.#.#.###.#.#..##...#.##.#..#.#.....#.###.######.######.##.#...#.###..#........#.#....#######.##..#.#.....#...#.....##....###..#...#.#.#.###.#.#..##...#.##.#..#.#.....#.###.######.######.##.#...#.###..#........#.#....#######.##..#.#.....#...#.....##....###..#...#.#.#.###.#.#..##...#.##.#..#.#.....#.###.######.######.##.#...#.###..#........#.#....#######.##..#.#.....#...#.....##....###..#...#.#.#####.#.#..##...#.##.#..#.#.....#.###.######.######.##.#...#.###..#........#.#....#######.##..#.#.....#...#.....##....###..#
##.##............##.#.#.#.####.#.#.#........#.########......###.#..##..##.....#...#.##.#.###.#.##..##.##.#####.#.#.#..###..##.##.##.#.##..##...#.#.###..###.#...##.#.#.#..#...###.##.##..#...##.#...##..####..#.#.##....##.#.##.###..##.##..##.#..##..#######.##...##.......##...##.#..#....##.##.#.##....###.####.####.###..###.#.#..#.#.#...#...###.#.####....###..#...###..#.##...##..#######.##...##.......##...##.#..#....##.##.#.##....###.####.####.###..###.#.#..#.#.#...#...###.#.####....###..#...###..#.##...##..#######.##...##.......##...##.#..#....##.##.#.##....###.####.####.###..###.#.#..#.#.#...#...###.#.####....###..#...###..#.##...##..#######.##...##.......##...##.#..#....##.##.#.##....###.####.####.###..###.#.#..#.#.#...#...###.#.####....###..#...###..#.##...##..#######.##...##.......##...##.#..#....##.##.#.##....###.####.####.###..###.#.#..#.#.#...#...###.#.####....###..#...###..#.##...##..#######.##...##.......##...##.#..#....##.##.#.##....###.####.####.###..###.#.#..#.#.#...#...###.#.#
#.#..###..#.#..#.##.#.####..##.##.####.###..######..##.#..#..#....#...##.##.#.##.##..#.####..###..#.###..#.#..#.######.###.......##.###.###....####......#.#.#....####..##....#.#.#####.#.##...##.##......##.....#######.#.#..###.##.#.#........##..###..##..##..#.###.#.###.#..##.#....#..##..####..###.....#.##.####....#.##.......#.#.#.#.##..#.#.##...#.#.#.##.###...#..###..##.#..###..##..##..#.###.#.###.#..##.#....#..##..####..###.....#.##.####....#.##.......#.#.#.#.##..#.#.##...#.#.#.##.###...#..###..##.#..###..##..##..#.###.#.###.#..##.#....#..##..####..###.....#.##.####....#.##.......#.#.#.#.##..#.#.##...#.#.#.##.###...#..###..##.#..###..##..##..#.###.#.###.#..##.#....#..##..####..###.....#.##.####....#.##.......#.#.#.#.##..#.#.##...#.#.#.##.###...#..###..##.#..###..##..##..#.###.#.###.#..##.#....#..##..####..###.....#.##.####....#.##.......#.#.#.#.##..#.#.##...#.#.#.##.###...#..###..##.#..###..##..##..#.###.#.###.#..##.#....#..##..####..###.....#.##.####....#.##.......#.#.#.#.##..#.#.##..
.#..##.###...###.#.###..###.##..#..###.##.#..#..#.#.##..#.......##.#........#....##.#..#...####..#...#..##...###.#.#....#.#..###.#..##..#....##.#..###.###....#..#.####.#.#..##.#..#.#..#..###.####.###..##..##.####..#.####..##.#...#.##.##.#.###.#.#..###..##....##...##....#.####.###.#.##....#...####....##.########...#..###..#..#.#..#..#.#####...##..#..#.######.##.##.....###.#.#..###..##....##...##....#.####.###.#.##....#...####....##.########...#..###..#..#.#..#..#.#####...##..#..#.######.##.##.....###.#.#..###..##....##...##....#.####.###.#.##....#...####....##.########...#..###..#..#.#..#..#.#####...##..#..#.######.##.##.....###.#.#..###..##....##...##....#.####.###.#.##....#...####....##.########...#..###..#..#.#..#..#.#####...##..#..#.######.##.##.....###.#.#..###..##....##...##....#.####.###.#.##....#...####....##.########...#..###..#..#.#..#..#.#####...##..#..#.######.##.##.....###.#.#..###..##....##...##.#..#.####.###.#.##....#...####....##.########...#..###..#..#.#..#..#.#####...#
#####.#..#####...##.##...##..###...#.#....#...#.#....#.......#.##.#.##..#..###.#.#.#..#.##....#..#..#.##..#..######.##..#.#..###..#.#.#.##.....#..##.###.##.###.#..#..#.###.#..#.#...#..###.#...#.....##.#.#..##...#..###....#.#########.##.##.##.#..##.###..#..##..##.####..###.##.#.#.#..##.#....#..#.##.......######.##...#.##.#...#..##.##.#.##..#.####..#.....#.#..##....#.#..#.#..##.###..#..##..##.####..###.##.#.#.#..##.#....#..#.##.......######.##...#.##.#...#..##.##.#.##..#.####..#.....#.#..##....#.#..#.#..##.###..#..##..##.####..###.##.#.#.#..##.#....#..#.##.......######.##...#.##.#...#..##.##.#.##..#.####..#.....#.#..##....#.#..#.#..##.###..#..##..##.####..###.##.#.#.#..##.#....#..#.##.......######.##...#.##.#...#..##.##.#.##..#.####..#.....#.#..##....#.#..#.#..##.###..#..##..##.####..###.##.#.#.#..##.#....#..#.##.......######.##...#.##.#...#..##.##.#.##..#.####..#.....#.#..##....#.#..#.#..##.###..#..##..##.####..###.##.#.#.#..##.#....#..#.##.......######.##...#.##.#...#..##.##.#.##..#.##
.....##..#..#.#######........###.###..##.....#...#..###..#...#####.#####.##.###.##..#....#.#...###.###.....#.##.#.#...#..##..#.#####..##..#.##.#...####.##.###..#..#.##...#.##.##.#.#.###.#.#....#...#.#..#.#.#.####....#...#..#.#.#...#.#..##.#..##.....###.#####....##.#....#..####.###...##.##..####...#.##...#.#.##..#..#.#.####....#..#######..#.##..###.#.###.#.###..#...#..##.##.....###.#####....##.#....#..####.###...##.##..####...#.##...#.#.##..#..#.#.####....#..#######..#.##..###.#.###.#.###..#...#..##.##.....###.#####....##.#.#..#..####.###...##.##..####...#.##...#.#.##..#..#.#.####....#..#######..#.##..###.#.###.#.###..#...#..##.##.....###.#####....##.#....#..####.###...##.##..####...#.##...#.#.##..#..#.#.####....#..#######..#.##..###.#.###.#.###..#...#..##.##.....###.#####....##.#....#..####.###...##.##..####...#.##...#.#.##..#..#.#.####....#..#######..#.##..###.#.###.#.###..#...#..##.##.....###.#####....##.#....#..####.###...##.##..####...#.##...#.#.##..#..#.#.####....#..#######..#.##.
.##.####.##.#....###..#..#######..#.##.###.....#####..####.#..#.##.#.##..#######.##.#.##.##...##..#.##.#.#.#.#..#..#.##.#.##.#....#####.##....#.###...####.#####.#....##..##.##.#..#....#.#..#.###.#..#...##...###......#.###.....#..#..#..##.#.#..#####.###..##..#.##...###.###..###.##..###.#..#....###..#.#.##..#..####.##....###.###..###....#.#.##.##..#.#..######.#.#.#...#.#...#####.###..##..#.##...###.###..###.##..###.#..#....###..#.#.##..#..####.##....###.###..###....#.#.##.##..#.#..######.#.#.#...#.#...#####.###..##..#.##...###.###..###.##..###.#..#....###..#.#.##..#..####.##....###.###..###....#.#.##.##..#.#..######.#.#.#...#.#...#####.###..##..#.##...###.###..###.##..###.#..#....###..#.#.##..#..####.##....###.###..###....#.#.##.##..#.#..######.#.#.#...#.#...#####.###..##..#.##...###.###..###.##..###.#..#....###..#.#.##..#..####.##....###.###..###....#.#.##.##..#.#..######.#.#.#...#.#...#####.###..##..#.##...###.###..###.##..###.#..#....###..#.#.##..#..####.##....###.###..###....#.#.##.#
#..##.#...#######....####.#..####.#.###...####..#.###.##..#..#.##.#.##..###.....#...##..#.#.#..###.#.#...##.......#....##..#...###..#..##.#....#..######.#.####.#####.#..##.#...##..####........#...##...#..##...########.#.......##...####...#..##.#.#.#.##.....##.##.##....#.......#..#.#.#...##..#.###..###.#..#.....##.#.####..###..#....###.#######.####.#..##.#....###.##.#.####.#.#.#.##.....##.##.##....#.......#..#.#.#...##..#.###..###.#..#.....##.#.####..###..#....###.#######.####.#..##.#....###.##.#.####.#.#.#.##.....##.##.##....#.......#..#.#.#...##..#.###..###.#..#.....##.#.####..###..#....###.#######.####.#..##.#....###.##.#.####.#.#.#.##.....##.##.##....#.......#..#.#.#...##..#.###..###.#..#.....##.#.####..###..#....###.#######.####.#..##.#....###.##.#.####.#.#.#.##.....##.##.##....#.......#..#.#.#...##..#.###..###.#..#.....##.#.####..###..#....###.#######.####.#..##.#....###.##.#.####.#.#.#.##.....##.##.##....#.......#..#.#.#...##..#.###..###.#..#.....##.#.####..###..#....###.#######.
.#.#.#.####...#######..##.#.....#.##..#.#.#.#.#..##.#####...######...#.########.#.#.#.#.#...###..#.##.##.###.##.###.#..##..####..#.#.#.#.##..#...#.###.#...####.#.#..####..#...#.####..##.##.#.....#..###......#.#...#..#.#####.###.#.##.....#..##.#####...###..#...#..###.##....##...####.###.##..#..#.##.#.#..######..#..#..##..##...#...####......##..#.###..#.#..##.#.#..#.###..#.#####...###..#...#..###.##....##...####.###.##..#..#.##.#.#..######..#..#..##..##...#...####......##..#.###..#.#..##.#.#..#.###..#.#####...###..#...#..###.##....##...####.###.##..#..#.##.#.#..######..#..#..##..##...#...####......##..#.###..#.#..##.#.#..#.###..#.#####...###..#...#..###.##....##...####.###.##..#..#.##.#.#..######..#..#..##..##...#...####......##..#.###..#.#..##.#.#..#.###..#.#####...###..#...#..###.##....##...####.###.##..#..#.##.#.#..######..#..#..##..##...#...####......##..#.###..#.#..##.#.#..#.###..#.#####...###..#...#..###.##....##...####.###.##..#..#.##.#.#..######..#..#..##..##...#...####......##..
...#.####......####..#...#.###.###..#..#.###.#.#.###.####....##..####.##.#..######.###.##.#..#...#.....##...##..#.#.#....#..#.#...#.#.#.##.##.......##..##.#..###.##..###.###..##.##.#.##.......#.###.###.##...#..#.##.#.#..##..##..#..##.#.#...###.#...#..#.#..###..#.#.#.#....#.##.##.#####.####.#..#..#...####..#..###..###.#..###...#....#...#.####...##...#.....#.#..#.#..#.#.###.#...#..#.#..###..#.#.#.#....#.##.##.#####.####.#..#..#...####..#..###..###.#..###...#....#...#.####...##...#.....#.#..#.#..#.#.###.#...#..#.#..###..#.#.#.#....#.##.##.#####.####.#..#..#...####..#..###..###.#..###...#....#...#.####...##...#.....#.#..#.#..#.#.###.#...#..#.#..###..#.#.#.#....#.##.##.#####.####.#..#..#...####..#..###..###.#..###...#....#...#.####...##...#.....#.#..#.#..#.#.###.#...#..#.#..###..#.#.#.#....#.##.##.#####.####.#..#..#...####..#..###..###.#..###...#....#...#.####...##...#.....#.#..#.#..#.#.###.#...#..#.#..###..#.#.#.#....#.##.##.#####.####.#..#..#...####..#..###..###.#..###...#....#...#.####..
.##..#.##...###..#.#.##.#.....#####.#.#.##..#...#.#####.#....##.#.####......#.###.#.##...##.##..#...#..#####.#..##.##..#.#..#####....#.###..##.#..#.##.....#.####.##..#.#.#..#..##.#....#...#...######..##..#####...##.....#..####..###.#...#.#.######.#.#.#.#..########.#####......#.##.##.#.#####.##..###.#......#.....###.#..#...#.#..##.###.....#.#....#..##...###.#...##.##...######.#.#.#.#..########.#####......#.##.##.#.#####.##..###.#......#.....###.#..#...#.#..##.###.....#.#....#..##...###.#...##.##...######.#.#.#.#..########.#####......#.##.##.#.#####.##..###.#......#.....###.#..#...#.#..##.###.....#.#....#..##...###.#...##.##...######.#.#.#.#..########.#####......#.##.##.#.#####.##..###.#......#.....###.#..#...#.#..##.###.....#.#....#..##...###.#...##.##...######.#.#.#.#..########.#####......#.##.##.#.#####.##..###.#......#.....###.#..#...#.#..##.###.....#.#....#..##...###.#...##.##...######.#.#.#.#..########.#####......#.##.##.#.#####.##..###.#......#.....###.#..#...#.#..##.###.....#.#..
#.#..#..##.#######....#..#..#.####.##..#..#..##.#####..#.#.#####..###.#.###.#####....##.#.#####..##.#..#......####.#..##.#.....#.####..#.##.#.#..##.#..#.###.#.###..##.......#.....##..###.##.#..#.#...###..##.####.#.##.##.#.....##..#####.###.#..#.##.##..###.#.#..##.#......####..#..###.#.####.#####.#...###..#.####.....#.....#....###.#...####.#..##.#.#.....##..#.###.#..#..#..#.##.##..###.#.#..##.#......####..#..###.#.####.#####.#...###..#.####.....#.....#....###.#...####.#..##.#.#.....##..#.###.#..#..#..#.##.##..###.#.#..##.#......####..#..###.#.####.#####.#...###..#.####.....#.....#....###.#...####.#..##.#.#.....##..#.###.#..#..#..#.##.##..###.#.#..##.#......####..#..###.#.####.#####.#...###..#.####.....#.....#....###.#...####.#..##.#.#.....##..#.###.#..#..#..#.##.##..###.#.#..##.#......####..#..###.#.####.#####.#...###..#.####.....#.....#....###.#...####.#..##.#.#.....##..#.###.#..#..#..#.##.##..###.#.#..##.#......####..#..###.#.####.#####.#...###..#.####.....#.....#....###.#...####.#..#
...#...#.###.######....####.##.#.#...##.#...#...#..##..##.#.##..#.....########.#..##.###.##.#.###..##....##..#.#####.#.......#..##....#.#...##.##...#.##.#.##...###..#.#####....#...###.###.....#.#####.#.########.##..#....#.#..##.#.....##.#.....#......##..#....##..#..####......#####..#..##.#.#.#...###.##...##########....#.##..##.....###.#.##.###.##.#####.##.#.#.#.#....#.#..#......##..#....##..#..####......#####..#..##.#.#.#...###.##...##########....#.##..##.....###.#.##.###.##.#####.##.#.#.#.#....#.#..#......##..#....##..#..####......#####..#..##.#.#.#...###.##...##########....#.##..##.....###.#.##.###.##.#####.##.#.#.#.#....#.#..#......##..#....##..#..####......#####..#..##.#.#.#...###.##...##########....#.##..##.....###.#.##.###.##.#####.##.#.#.#.#....#.#..#......##..#....##..#..####......#####..#..##.#.#.#...###.##...##########....#.##..##.....###.#.##.###.##.#####.##.#.#.#.#....#.#..#......##..#....##..#..####......#####..#..##.#.#.#...###.##...##########....#.##..##.....###.#.##.###
#..##.#.#.#.###..#...####...####.###...#..#.#....#.#####...#..####.#..##...##..#...#.##..#..#...##..#..#######.#.#.#..##.#......##..#.#.###..#.#######.##...##..###..####.#.#.....##.###.###.#.#########..####....#.##.###.###....###..#..###.####...#....##..###.#.#.######.#........###...#.#.####.##.####....#..#..#...##.##......##.##...#...##.##..#....#.##.#..#.#.###.#.#.#..#...#....##..###.#.#.######.#........###...#.#.####.##.####....#..#..#...##.##......##.##...#...##.##..#....#.##.#..#.#.###.#.#.#..#...#....##..###.#.#.######.#........###...#.#.####.##.####....#..#..#...##.##......##.##...#...##.##..#....#.##.#..#.#.###.#.#.#..#...#....##..###.#.#.######.#........###...#.#.####.##.####....#..#..#...##.##......##.##...#...##.##..#....#.##.#..#.#.###.#.#.#..#...#....##..###.#.#.######.#........###...#.#.####.##.####....#..#..#...##.##......##.##...#...##.##..#....#.##.#..#.#.###.#.#.#..#...#....##..###.#.#.######.#........###...#.#.####.##.####....#..#..#...##.##......##.##...#...##.##..#
..##..#...#......#....##.#.#.#..##..#.#.#....#..###...#.#.#######.#.##....##.#.#..#####.#........#.###...#..#####......#.##.##.##.#..##.#.######....#####...##.#####.#...#.#.#####.###.#.###....##...#####..#.####.#...#..##.#.#.#..#..#..#..#..#..###.#...#...#.#...#......#.#.#.#....##.#...#.#.##..#..#.#.#..#...#.#.#.##...#...#####..#.#..#....#..##.#.#.#..#..####.#.#...##..#..###.#...#...#.#...#......#.#.#.#....##.#...#.#.##..#..#.#.#..#...#.#.#.##...#...#####..#.#..#....#..##.#.#.#..#..####.#.#...##..#..###.#...#...#.#...#......#.#.#.#....##.#...#.#.##..#..#.#.#..#...#.#.#.##...#...#####..#.#..#....#..##.#.#.#..#..####.#.#...##..#..###.#...#...#.#...#......#.#.#.#....##.#...#.#.##..#..#.#.#..#...#.#.#.##...#...#####..#.#..#....#..##.#.#.#..#..####.#.#...##..#..###.#...#...#.#...#......#.#.#.#....##.#...#.#.##..#..#.#.#..#...#.#.#.##...#...#####..#.#..#....#..##.#.#.#..#..####.#.#...##..#..###.#...#...#.#...#......#.#.#.#....##.#...#.#.##..#..#.#.#..#...#.#.#.##...#...#####..#.#..#....#..##
.###...###.........##.#.##..######..#.#.##...##.#..#..###....#...##.###.#..#..##.#.##...##....##.#.#....#..###..#.##........##....##.#..#.##...#.###.###......#...###..#.#...#.#....###.####....##.#...#.......###.#.#.##..#...##....###....#.#.#..#.###..#.#..###.#...##.###..#...###.#..#.###...####.#.#..####...#...#...#...#...##.##.###..#.#.#.##.#.#.....#.....#.#..##.#.#####..#.###..#.#..###.#...##.###..#...###.#..#.###...####.#.#..####...#...#...#...#...##.##.###..#.#.#.##.#.#.....#.....#.#..##.#.#####..#.###..#.#..###.#...##.###..#...###.#..#.###...####.#.#..####...#...#...#...#...##.##.###..#.#.#.##.#.#.....#.....#.#..##.#.#####..#.###..#.#..###.#...##.###..#...###.#..#.###...####.#.#..####...#...#...#...#...##.##.###..#.#.#.##.#.#.....#.....#.#..##.#.#####..#.###..#.#..###.#...##.###..#...###.#..#.###...####.#.#..####...#...#...#...#...##.##.###..#.#.#.##.#.#.....#.....#.#..##.#.#####..#.###..#.#..###.#...##.###..#...###.#..#.###...####.#.#..####...#...#...#...#...##.##.###..#.#.#.##.#.
#....#....#..###..###..#.###.##.#.##..###.###.#..#.####....#.#..#.##.####.#.#...###.....#...#.#..#####.####.##.#..#..#.##..###..###........#....#####....#####..#..#####..#####.#.#..#####..#.#####...#..#####.#.####.####...#..#..##..#..####...#.##.##.##.#....##.###..#####.#####.#.#.####.###..###..#.##.....#...###..###.#..#...##.##.#.#....##...#..#.##.#.#..#.......###....##.##.##.##.#....##.###..#####.#####.#.#.####.###..###..#.##.....#...###..###.#..#...##.##.#.#....##...#..#.##.#.#..#.......###....##.##.##.##.#....##.###..#####.#####.#.#.####.###..###..#.##.....#...###..###.#..#...##.##.#.#....##...#..#.##.#.#..#.......###....##.##.##.##.#....##.###..#####.#####.#.#.####.###..###..#.##.....#...###..###.#..#...##.##.#.#....##...#..#.##.#.#..#.......###....##.##.##.##.#....##.###..#####.#####.#.#.####.###..###..#.##.....#...###..###.#..#...##.##.#.#....##...#..#.##.#.#..#.......###....##.##.##.##.#....##.###..#####.#####.#.#.####.###..###..#.##.....#...###..###.#..#...##.##.#.#....##...#.
..#...##....##.#.#..#.....##..###.###..###..##.#.##...##.#....##...##.....######..##...#.##.#.....#...#.##...#.#..#####.####.#..#..#..##.####.....#####.####.#.#.####..#.#..#..#.#.######.##...##..###...###.#.#####.#..######.###....##....##.##.###.#.#...#...#.###..#.#..#..#..#.#..##.##...##..###..#.###.#.#.##..#.##..##..#..#####..###..#..##.####.##..###.##..###.#..#####...###.#.#...#...#.###..#.#..#..#..#.#..##.##...##..###..#.###.#.#.##..#.##..##..#..#####..###..#..##.####.##..###.##..###.#..#####...###.#.#...#...#.###..#.#..#..#..#.#..##.##...##..###..#.###.#.#.##..#.##..##..#..#####..###..#..##.####.##..###.##..###.#..#####...###.#.#...#...#.###..#.#..#..#..#.#..##.##...##..###..#.###.#.#.##..#.##..##..#..#####..###..#..##.####.##..###.##..###.#..#####...###.#.#...#...#.###..#.#..#..#..#.#..##.##...##..###..#.###.#.#.##..#.##..##..#..#####..###..#..##.####.##..###.##..###.#..#####...###.#.#...#...#.###..#.#..#..#..#.#..##.##...##..###..#.###.#.#.##..#.##..##..#..#####..###..#..##.####
..#.#...#.#.###..##..#.##.####.#####...#.##...###..#....#...#..#..#.##..##.#####...##.##.#..##.#.###..#..#.#.#.#..#.####.##..#.#....###..#..####.#..##.#.....##..####.#.#.##.#..#..#..##..#..##..###.#.###....###.##....##...########.#.#..#..###.#####..##........##....#.#.#.##.#..######....#.######.##..##.####.#..####.###....##..##..##.#######..#..#.#.#.#.##.....##..#.....#.#####..##........##....#.#.#.##.#..######....#.######.##..##.####.#..####.###....##..##..##.#######..#..#.#.#.#.##.....##..#.....#.#####..##........##....#.#.#.##.#..######....#.######.##..##.####.#..####.###....##..##..##.#######..#..#.#.#.#.##.....##..#.....#.#####..##........##....#.#.#.##.#..######....#.######.##..##.####.#..####.###....##..##..##.#######..#..#.#.#.#.##.....##..#.....#.#####..##........##....#.#.#.##.#..######....#.######.##..##.####.#..####.###....##..##..##.#######..#..#.#.#.#.##.....##..#.....#.#####..##........##....#.#.#.##.#..######....#.######.##..##.####.#..####.###....##..##..##.#######..#.
....#....###.###.#.#.#######.##.##.##.##.#..###..#..##...#..##....##.#..#..#.#.#..##.####...#.###...#........###.###.#..##.#.##.##...##....#.########.#.#..##..##.#.##...#.....#...##.##.###..###########....###..#..##.##..##.#...##.##..###..####.#.....#.##.##..#.#.##..####.#####..###......#.....###.#...###..#.#.##.#####...###.#.####.####.#.###.#.##.##....##.##..#....##.####.#.....#.##.##..#.#.##..####.#####..###......#.....###.#...###..#.#.##.#####...###.#.####.####.#.###.#.##.##....##.##..#....##.####.#.....#.##.##..#.#.##..####.#####..###......#.....###.#...###..#.#.##.#####...###.#.####.####.#.###.#.##.##....##.##..#....##.####.#.....#.##.##..#.#.##..####.#####..###......#.....###.#...###..#.#.##.#####...###.#.####.####.#.###.#.##.##....##.##..#....##.####.#.....#.##.##..#.#.##..####.#####..###......#.....###.#...###..#.#.##.#####...###.#.####.####.#.###.#.##.##....##.##..#....##.####.#.....#.##.##..#.#.##..####.#####..###......#.....###.#...###..#.#.##.#####...###.#.####.####.#.###.#
..#####.##.#..####.#....###....#.##.####.###......#....#..#.###.##.#.#..#...##.##.###.#.....#....###..##..#..#....#.#####.#.##.#.#.#..#.#.#..#..#####...##.....####.#..#..##.#.#....##..##.#.#..#.....#.####..#.#.#...###..##..#....##..##.######.##..#.....#..##.#..##.#..#.####...###....######..#.###..#.###...#...#.##.#####...###..###..#.###.#..#..###....#.######.##..#######.##..#.....#..##.#..##.#..#.####...###....######..#.###..#.##....#...#.##.#####...###..###..#.###.#..#..###....#.######.##..#######.##..#.....#..##.#..##.#..#.####...###....######..#.###..#.##....#...#.##.#####...###..###..#.###.#..#..###....#.######.##..#######.##..#.....#..##.#..##.#..#.####...###....######..#.###..#.##....#...#.##.#####...###..###..#.###.#..#..###....#.######.##..#######.##..#.....#..##.#..##.#..#.####...###....######..#.###..#.##....#...#.##.#####...###..###..#.###.#..#..###....#.######.##..#######.##..#.....#..##.#..##.#..#.####...###....######..#.###..#.##....#...#.##.#####...###..###..#.###.#..#..
###..###...#..##.#..##...#..#...###...##......#....##..###.#...##..###...#####..##....##.....##...#.#.#.#####....###...##.#.#.###....#...#.##..###..##...####..##.###.##.#.#....##.#..#..##...#.#..#.#.#.#.#.##..##..###...#.....##.###..#..#...#..#.#..#.#...###..###...#.#..#......######.###.###.#######...#.#..##.#######....#.#..#..####..##.###.###.###.###.#....#.##....#..##..#.#..#.#...###..###...#.#..#......######.###.###.#######...#.#..##.#######....#.#..#..####..##.###.###.###.###.#....#.##....#..##..#.#..#.#...###..###...#.#..#......######.###.###.#######...#.#..##.#######....#.#..#..####..##.###.###.###.###.#....#.##....#..##..#.#..#.#...###..###...#.#..#......######.###.###.#######...#.#..##.#######....#.#..#..####..##.###.###.###.###.#....#.##....#..##..#.#..#.#...###..###...#.#..#......######.###.###.#######...#.#..##.#######....#.#..#..####..##.###.###.###.###.#....#.##....#..##..#.#..#.#...###..###...#.#..#......######.###.###.#######...#.#..##.#######....#.#..#..####..##.###.###
.#.#.###...#.#..#####.#####..#..#..#...#.###...##.###..#..#.###...#..#...##.#####.#.#.#...##.#..##..##.#...#...##.#.###..#.#...#.....#.#..#..#..#...#.....####..##.#.##..#.##...##.##.##.#..#....##..####....#.#..#.#.#...###....#...#.#........#.#..##.##.#.##.#..#..#..##..##...#######..#........####...###....#...#.###..##.#.######......#..##.###....###..###....###.#..#..###.#..##.##.#.##.#..#..#..##..##...#######..#........####...###....#...#.###..##.#.######......#..##.###....###..###....###.#..#..###.#..##.##.#.##.#..#..#..##..##...#######..#........####...###....#...#.###..##.#.######......#..##.###....###..###....###.#..#..###.#..##.##.#.##.#..#..#..##..##...#######..#........####...###....#...#.###..##.#.######......#..##.###....###..###....###.#..#..###.#..##.##.#.##.#..#..##.##..##...#######..#........####...###....#...#.###..##.#.######......#..##.###....###..###....###.#..#..###.#..##.##.#.##.#..#..#..##..##...#######..#........####...###....#...#.###..##.#.######......#..##.###..
##..##.#.####..#...#..#..#...##.......###.###..#..####..###.....##..##.###.#...###..#.######....###..#..###..#.##.#.##..#.#.#...#......#................###...######.###.###.###....##..####...#..#...#.#..##.####.###...##....#....#.#..##...#.#.#..#.#######..#.......##..#..#.####..#.#.#..##..##.#.#.#....#.#.#....#.##..#...##.###.##..####..#####.##.##..##.#.##..#.#..####..#.#..#.#######..#.......##..#..#.####..#.#.#..##..##.#.#.#....#.#.#....#.##..#...##.###.##..####..#####.##.##..##.#.##..#.#..####..#.#..#.#######..#.......##..#..#.####..#.#.#..##..##.#.#.#....#.#.#....#.##..#...##.###.##..####..#####.##.##..##.#.##..#.#..####..#.#..#.#######..#.......##..#..#.####..#.#.#..##..##.#.#.#....#.#.#....#.##..#...##.###.##..####..#####.##.##..##.#.##..#.#..####..#.#..#.#######..#.......##..#..#.####..#.#.#..##..##.#.#.#....#.#.#....#.##..#...##.###.##..####..#####.##.##..##.#.##..#.#..####..#.#..#.#######..#.......##..#..#.####..#.#.#..##..##.#.#.#....#.#.#....#.##..#...##.###.##..####..#####.#
.#..#.#..#..#...##..##..##.#.##...###.###.###.####.##....##..###.##....#........###....###..##...####......#..####...###.###..#.#.#.##.###.#.#...##...#..#.##....#.####...#.#..####...#.....#..##...#.#.#..#..#####..###.##.##.#..#..#.#.#.###..###..####...#.#.#.###..###..#.####.#####....#.....####.##.#.#.##...#..##.######.##.#...##.#.##..#.####...#.##.##....#..###.#..##...###..####...#.#.#.###..###..#.####.#####....#.....####.##.#.#.##...#..##.######.##.#...##.#.##..#.####...#.##.##....#..###.#..##...###..####...#.#.#.###..###..#.####.#####....#.....####.##.#.#.##...#..##.######.##.#...##.#.##..#.####...#.##.##....#..###.#..##...###..####...#.#.#.###..###..#.####.#####....#.....####.##.#.#.##...#..##.######.##.#...##.#.##..#.####...#.##.##....#..###.#..##...###..####...#.#.#.###..###..#.####.#####....#.....####.##.#.#.##...#..##.######.##.#...##.#.##..#.####...#.##.##....#..###.#..##...###..####...#.#.#.###..###..#.####.#####....#.....####.##.#.#.##...#..##.######.##.#...##.#.##..#.####...
#...#.#.##...##.####...###.....#..###....###.##.###.#......##.#...###....#.##.#.#....###.###.#...####.#..#..###...#########.####...####.##..##.##.#.####.##.#.#.#.###..#..#.##...####..#.......###.#.#.##..#..#.#.#...#.##.##..#######.#..#..#.##.#.##..######.###..#.#......#..#.#######...#####.##..##..#.###..#.##.#.#...#.#...##..#.#.###...#.#..#..###...#.............#..#.#.#.#.##..######.###..#.#......#..#.#######...#####.##..##..#.###..#.##.#.#...#.#...##..#.#.###...#.#..#..###...#.............#..#.#.#.#.##..######.###..#.#......#..#.#######...#####.##..##..#.###..#.##.#.#...#.#...##..#.#.###...#.#..#..###...#.............#..#.#.#.#.##..######.###..#.#......#..#.#######...#####.##..##..#.###..#.##.#.#...#.#...##..#.#.###...#.#..#..###...#.............#..#.#.#.#.##..######.###..#.#......#..#.#######...#####.##..##..#.###..#.##.#.#...#.#...##..#.#.###...#.#..#..###...#.............#..#.#.#.#.##..######.###..#.#......#..#.#######...#####.##..##..#.###..#.##.#.#...#.#...##..#.#.###...#.#..#..#
...#......#.#..##.##..#...#.#.#.###.#..#..#..#.#..##.####.......##.#.#####.#.#......#.#.......##..#.#..#...##..##.#######..###..##..#...#####.####..#..#....##########.####.#..##....#..#.#####...##....#...##.##.#..###.##....#........#..##.#......###..##.#.#..##....#..#..#.#......#...#.###.#.####..#..#####.#.#..#.#..##.#.#.###...#.#..#..###.#...##...##..#..######.#......#....###..##.#.#..##....#..#..#.#......#...#.###.#.####..#..#####.#.#..#.#..##.#.#.###...#.#..#..###.#...##...##..#..######.#......#....###..##.#.#..##....#..#..#.#......#...#.###.#.####..#..#####.#.#..#.#..##.#.#.###...#.#..#..###.#...##...##..#..######.#......#....###..##.#.#..##....#..#..#.#......#...#.###.#.####..#..#####.#.#..#.#..##.#.#.###...#.#..#..###.#...##...##..#..######.#......#....###..##.#.#..##....#..#..#.#......#...#.###.#.####..#..#####.#.#..#.#..##.#.#.###...#.#..#..###.#...##...##..#..######.#......#....###..##.#.#..##....#..#..#.#......#...#.###.#.####..#..#####.#.#..#.#..##.#.#.###...#.#..#..###.#...
.#.#..#.######.#...#.##...#..#....#.####.##..#.##..#.##..##..#.#..##..##..##.####...##.#.....##.#.##.#.....###..#.##.##....#..##..###.###.#...#.###.##.#..##.##.....###..##.###..#....##..#....###..##.##.#.#####.##.##..#.....#.#..#####....##.....##..##.#..#..##.....#.#.##.#.......#....##....###.#.###..#.#..##.#.#.####........#..#######.##...#.##....#....####..#....#..#.#....##..##.#..#..##.....#.#.##.#.......#....##....###.#.###..#.#..##.#.#.####........#..#######.##...#.##....#....####..#....#..#.#....##..##.#..#..##.....#.#.##.#.......#....##....###.#.###..#.#..##.#.#.####........#..#######.##...#.##....#....####..#....#..#.#....##..##.#..#..##.....#.#.##.#.......#....##....###.#.###..#.#..##.#.#.####........#..#######.##...#.##....#....####..#....#..#.#....##..##.#..#..##.....#.#.##.#.......#....##....###.#.###..#.#..##.#.#.####........#..#######.##...#.##....#....####..#....#..#.#....##..##.#..#..##.....#.#.##.#.......#....##....###.#.###..#.#..##.#.#.####........#..#######.##...#.##
#...###.#..##.#..###...###.#.#.##..#..#...#..##.#..#.#.#..#.#.##.##..#..#.#..###.##.##.#..#.#......##.###..##.#.##......#.##.##.###....#.##...#.#####.#.#.##.##...##.....##..........###..####.....####...###..###.##..#.##.....#..#####.#..#...#.##.#.##...##.#..##......#.....#..##....##.#.##.#..######...#.##...###.#...####........#.#.#....#..######..##.##.#....#..#.#.####...##.#.##...##.#..##......#.....#..##....##.#.##.#..######...#.##...###.#...####........#.#.#....#..######..##.##.#....#..#.#.####...##.#.##...##.#..##......#.....#..##....##.#.##.#..######...#.##...###.#...####........#.#.#....#..######..##.##.#....#..#.#.####...##.#.##...##.#..##......#.....#..##....##.#.##.#..######...#.##...###.#...####........#.#.#....#..######..##.##.#....#..#.#.####...##.#.##...##.#..##......#.....#..##....##.#.##.#..######...#.##...###.#...####........#.#.#....#..######..##.##.#....#..#.#.####...##.#.##...##.#..##......#.....#..##....##.#.##.#..######...#.##...###.#...####........#.#.#....#..#####
.#...##.##.#.######..##...#..#......#.#..#..###.######.#.###.####...#####..#####.#.#.###...##.#.##.#.###.#.##.....####.#.#...##..###...#.#..###..##.#.#.##.###.##..#..#...#####...##.###....##..###...##.#....#...##.#.#..##.##.#..###.#..#...##.###.#.#####.##....#.#..###...#...##.#..###.##.###.#.######.##.#.####..#.#........###.##.#.#..#.####.....#######..#.#.###.#.##...#.####.#.#####.##....#.#..###...#...##.#..###.##.###.#.######.##.#.####..#.#........###.##.#.#..#.####.....#######..#.#.###.#.##...#.####.#.#####.##....#.#..###...#...##.#..###.##.###.#.######.##.#.####..#.#........###.##.#.#..#.####.....#######..#.#.###.#.##...#.####.#.#####.##....#.#..###...#...##.#..###.##.###.#.######.##.#.####..#.#........###.##.#.#..#.####.....#######..#.#.###.#.##...#.####.#.#####.##....#.#..###...#...##.#..###.##.###.#.######.##.#.####..#.#........###.##.#.#..#.####.....#######..#.#.###.#.##...#.####.#.#####.##....#.#..###...#...##.#..###.##.###.#.######.##.#.####..#.#........###.##.#.#.##.####.....
.#..#..#..##.##...#.##......#......###..###..#......#..#.#.###..#..#..#.####.##..#...###.#...###...#..#...#.##..#.#..###.##.##..##..#.......#.#....##.......##..##...###.###.###.##.#.###....###.#..###.#.#.#.....###....######.....###........######.#.###.##.###....###..##...#.####.#..#....######.##..####..#.........##...##.##.##..#.#..###.####..##..#.....##..####.#..###...####.#.###.##.###....###..##...#.####.#..#....######.##..####..#.........##...##.##.##..#.#..########..##..#.....##..####.#..###...####.#.###.##.###....###..##...#.####.#..#....######.##..####..#.........##...##.##.##..#.#..###.####..##..#.....##..####.#..###...####.#.###.##.###....###..##...#.####.#..#....######.##..####..#.........##...##.##.##..#.#..###.####..##..#.....##..####.#..###...####.#.###.##.###....###..##...#.####.#..#....######.##..####..#.........##...##.##.##..#.#..###.####..##..#.....##..####.#..###...####.#.###.##.###....###..##...#.####.#..#....######.##..####..#.........##...##.##.##..#.#..###.####..#
.###..#.......#.###########...###.....##..##.......###...#...#.#....#.#####..##.#...####.###.##..#.#...#...###.#.#.#.##...##..#..##...#..#.##..##.#..####.###...##...#.#.##..###.#####.#...#.......#.#...####.##.#.###..##..#..##...########..##.....########.#######..#.#.#######.##..##..#.##.##...#.##...##.#.#..#...#....##..##.#...####..#..#####..###.##.....#...#####.....###....########.#######..#.#.#######.##..##..#.##.##...#.##...##.#.#..#...#....##..##.#...####..#..#####..###.##.....#...#####.....###....########.#######..#.#.#######.##..##..#.##.##...#.##...##.#.#..#...#....##..##.#...####..#..#####..###.##.....#...#####.....###....########.#######..#.#.#######.##..##..#.##.##...#.##...##.#.#..#...#....##..##.#...####..#..#####..###.##.....#...#####.....###....########.#######..#.#.#######.##..##..#.##.##...#.##...##.#.#..#...#....##..##.#...####..#..#####..###.##.....#...#####.....###....########.#######..#.#.#######.##..##..#.##.##...#.##...##.#.#..#...#....##..##.#...####..#..#####..#
##.###.....##...#..#.#.###..#..###..####.#..###.##....##..#.........####.#.#..##..#..###.###.####..#..#..##....#.....#...##.##.######.####...#.#...##.##.#..##......##.#....###.#..#.##..##.#...#.#.#...##...##.#..#...#..#.###.###...#..##.#.###.##.#####.#..#......###..####.#.#..##.#.#.#.##.#.....#.##...##.##...##..##..#.##..#..##...#.....#.#.##.....#...........#.#....#..#..##.#####.#..#......###..####.#.#..##.#.#.#.##.#.....#.##...##.##...##..##..#.##..#..##...#.....#.#.##.....#...........#.#....#..#..##.#####.#..#...#..###..####.#.#..##.#.#.#.##.#.....#.##...##.##...##..##..#.##..#..##...#.....#.#.##.....#...........#.#....#..#..##.#####.#..#......###..####.#.#..##.#.#.#.##.#.....#.##...##.##...##..##..#.##..#..##...#.....#.#.##.....#...........#.#....#..#..##.#####.#..#......###..####.#.#..##.#.#.#.##.#.....#.##...##.##...##..##..#.##..#..##...#.....#.#.##.....#...........#.#....#..#..##.#####.#..#......###..####.#.#..##.#.#.#.##.#.....#.##...##.##...##..##..#.##..#..##...#.....#.#.##..
..#####..####...#..##.####..#..####.........####.#.#...##...#...#.#..#.##.....###..######...###..#...#.#######.#.####.#.###.######..#...##.###...#.##....#.##.#..###.####.#..#..#.#...#.##...#.#.##...###.##.##.##.....##.#......#.#..#.##....##.#.#.#.......##.######.#..##.#...#..####.#..#.###.##..#.....###.###..#..###..####.#.##.##.##...#.###.####.#.###.##.#....###.##...####.#.#.......##.######.#..##.#...#..####.#..#.###.##..#.....###.###..#..###..####.#.##.##.##...#.###.####.#.###.##.#....###.##...####.#.#.......##.######.#..##.#...#..####.#..#.###.##..#.....###.###..#..###..####.#.##.##.##...#.###.####.#.###.##.#....###.##...####.#.#.......##.######.#..##.#...#..####.#..#.###.##..#.....###.###..#..###..####.#.##.##.##...#.###.####.#.###.##.#....###.##...####.#.#.......##.######.#..##.#...#..####.#..#.###.##..#.....###.###..#..###..####.#.##.##.##...#.###.####.#.###.##.#....###.##...####.#.#.......##.######.#..##.#...#..####.#..#.###.##..#.....###.###..#..###..####.#.##.##.##...#.###.####
..#.###.##...#...#....##...#..###..#..#....#..###.##.#.#..#..#.###...#....##.#..#.#.....#...#...##.#..#.##..#..########...#####..#..#..#...#..###.##.####.###..##........##.##..####..#.#.#.###.####.....#.#....####...####.....#...#.#...#..###...##.#.#.##....##..###...#.#....#.#.#.#..##...#...##....##.#..####.########....#..##...#..#.####.##..#...#..##########..#.......##...##.#.#.##....##..###...#.#....#.#.#.#..##...#...##....##.#..####.########....#..##...#..#.####.##..#...#..##########..#.......##...##.#.#.##....##..###...#.#....#.#.#.#..##...#...##....##.#..####.########....#..##...#..#.####.##..#...#..##########..#.......##...##.#.#.##....##..###...#.#....#.#.#.#..##...#...##....##.#..####.########....#..##...#..#.####.##..#...#..##########..#.......##...##.#.#.##....##..###...#.#....#.#.#.#..##...#...##....##.#..####.########....#..##...#..#.####.##..#...#..##########..#.......##...##.#.#.##....##..###...#.#....#.#.#.#..##...#...##....##.#..####.########....#..##...#..#.####.##..#..
#.#.#..##.###.#.###.##......###..#......#.#..#####..##.#.#..#.##...####.####.#.#.##.....#.#..#........#....#.#..#...#####.######....##...####.##..#..##.....#...#..#..##.#...#..##.######.#.#####..#...#.##########.##..###..#.#.#.#..#..#..#..##....#.####.##.###.##....#..#..####...#####..####..##...###..#..#..##.##.##......#....##.##..#.####.#####..###.#....#..#.###.##..##.....#.####.##.###.##....#..#..####...#####..####..##...###..#..#..##.##.##......#....##.##..#.####.#####..###.#....#..#.###.##..##.....#.####.##.###.##....#..#..####...#####..####..##...###..#..#..##.##.##......#....##.##..#.####.#####..###.#....#..#.###.##..##.....#.####.##.###.##....#..#..####...#####..####..##...###..#..#..##.##.##......#....##.##..#.####.#####..###.#....#..#.###.##..##.....#.####.##.###.##....#..#..####...#####..####..##...###..#..#..##.##.##......#....##.##..#.####.#####..###.#....#..#.###.##..##.....#.####.##.###.##....#..#..####...#####..####..##...###..#..#..##.##.##......#....##.##..#.####.#####
##..#.......##.#...#....#.##...###..#.#.#...#....##...#.#..####.#####..######.###.#...####...##.#.#.#...##..#...#.##.......##.######..###....#####..#.#..#...#..#.#....###.##..##..#...##.#.#...#.#..#.########.###.#.#.###...##.##.#.....###.#.#..#.##.##..###.....##.#.#....##..#..#...#..#..#.#...#.##.#..#.##..#.#..#.#...##..#..#..##...........###....#..###.#..#..#..##.#.###..#.##.##..###.....##.#.#....##..#..#...#..#..#.#...#.##.#..#.##..#.#..#.#...##..#..#..##...........###....#..###.#..#..#..##.#.###..#.##.##..###.....##.#.#....##..#..#...#..#..#.#...#.##.#..#.##..#.#..#.#...##..#..#..##...........###....#..###.#..#..#..##.#.###..#.##.##..###.....##.#.#....##..#..#...#..#..#.#...#.##.#..#.##..#.#..#.#...##..#..#..##...........###....#..###.#..#..#..##.#.###..#.##.##..###.....##.#.#....##..#..#...#..#..#.#...#.##.#..#.##..#.#..#.#...##..#..#..##...........###....#..###.#..#..#..##.#.###..#.##.##..###.....##.#.#....##..#..#...#..#..#.#...#.##.#..#.##..#.#..#.#...##..#..#..##...........###.
##......#####....#..####.##....####.#####...#..#....####.###..#...##..##..#..#..#######.....#...#.#.###.#...#..#..#.#.#..#.##.####...#####....#..######.####.##.............##..#.....##................###.#...##..#..####.#...##....#.##.###.#..#.#...#....#.###.####...#.#..#...##.##..###.##....#.#.#.###...#..#.##.##.###..#..###.###.#.###.#....#...##.#......#..#.#.##...#.##.#.#...#....#.###.####...#.#..#...##.##..###.##....#.#.#.###...#..#.##.##.###..#..###.###.#.###.#....#...##.#......#..#.#.##...#.##.#.#...#....#.###.####...#.#..#...##.##..###.##....#.#.#.###...#..#.##.##.###..#..###.###.#.###.#....#...##.#......#..#.#.##...#.##.#.#...#....#.###.####...#.#..#...##.##..###.##....#.#.#.###...#..#.##.##.###..#..###.###.#.###.#....#...##.#......#..#.#.##...#.##.#.#...#....#.###.####...#.#..#...##.##..###.##....#.#.#.###...#..#.##.##.###..#..###.###.#.###.#....#...##.#......#..#.#.##...#.##.#.#...#....#.###.####...#.#..#...##.##..###.##....#.#.#.###...#..#.##.##.###..#..###.###.#.###.#....#..
.##...#..###..#...###.##..#..#.#..##.#.####.#.##........##...##.#...#....#.#..#.#....#.#..#..#.#.#..#.#...#.#.#..#.#..#....#..##.##..#####......##...#......#..#.#.##..####..##..#..#...####.#.#...##.#.#..#..#..#.#....###.###.#####....#....###.#...#..#..##.##.###..#...##.#.#.#...####...###..##....##..#..##..##.#..#.##..##...###.....##.#..###.....##.#....#.##...#..##...#...#...#..#..##.##.###..#...##.#.#.#...####...###..##....##..#..##..##.#..#.##..##...###.....##.#..###.....##.#....#.##...#..##...#...#...#..#..##.##.###..#...##.#.#.#...####...###..##....##..#..##..##.#..#.##..##...###.....##.#..###.....##.#....#.##...#..##...#...#...#..#..##.##.###..#...##.#.#.#...####...###..##....##..#..##..##.#..#.##..##...###.....##.#..###.....##.#....#.##...#..##...#...#...#..#..##.##.###..#...##.#.#.#...####...###..##....##..#..##..##.#..#.##..##...###.....##.#..###.....##.#....#.##...#..##...#...#...#..#..#####.###..#...##.#.#.#...####...###..##....##..#..##..##.#..#.##..##...###.....##.#..###....
#####.####.#.##..#..#..##.......#......###...##.##...#...###.###...#.#..##.#..###..###....#.#..###..#.#.####.####...#....#...#.#..####.#....###.##.###..##...#....#####..##.#..###.##.#...#.....#.##.####....#...##..#.##..####.##..#..#...##.....#.######.########.#..#..###.######.##.##.....##..#.##...#.#.##..###.##.#.#.#.#####..#...###.#..#.#..#.#.####..#.###.##.......#..##.#.######.########.#..#..###.######.##.##.....##..#.##...#.#.##..###.##.#.#.#.#####..#...###.#..#.#..#.#.####..#.###.##.......#..##.#.######.########.#..#..###.######.##.##.....##..#.##...#.#.##..###.##.#.#.#.#####..#...###.#..#.#..#.#.####..#.###.##.......#..##.#.######.########.#..#..###.######.##.##.....##..#.##...#.#.##..###.##.#.#.#.#####..#...###.#..#.#..#.#.####..#.###.##.......#..##.#.######.########.#..#..###.######.##.##.....##..#.##...#.#.##..###.##.#.#.#.#####..#...###.#..#.#..#.#.####..#.###.##.......#..##.#.######.########.#..#..###.######.##.##.....##..#.##...#.#.##..###.##.#.#.#.#####..#...###.#..#.#..#.#
.##.#.#...##.#..#.....#.##.........#.#.#..##.....##.#.#....#.##....##.##...###.##.##.##.#.#...##.#..#####.###.#.##.######.....#######..#..###.##...#.####.##...#..##...........####..##...#.##.#.##.####.######.#.##..#....#...##..#.#.#.#.#..###.####.####..#####.....###...##..##.##...#.##...##.#.....###.#..##.#....####.#.#.#.#.#...#.#.##.##.###.#.#.###...#.###.#.#..#######..####.####..#####.....###...##..##.##...#.##...##.#.....###.#..##.#....####.#.#.#.#.#...#.#.##.##.###.#.#.###...#.###.#.#..#######..####.####..#####.....###...##..##.##...#.##...##.#.....###.#..##.#....####.#.#.#.#.#...#.#.##.##.###.#.#.###...#.###.#.#..#######..####.####..#####.....###...##..##.##...#.##...##.#.....###.#..##.#....####.#.#.#.#.#...#.#.##.##.###.#.#.###...#.###.#.#..#######..####.####..#####.....###...##..##.##...#.##...##.#.....###.#..##.#....####.#.#.#.#.#...#.#.##.##.###.#.#.###...#.###.#.#..#######..####.####..#####.....###...##..##.##...#.##...##.#.....###.#..##.#....####.#.#.#.#.#...#.#.##.##.###.#.
..#.....####.##.#..#..##..##.#.##.##...#....#.##.#.#...#......##...#.#.##.#.##.#.#.###.###..##..##.###.#.#####..##..##.#.#....#....##......#.#.#...#..########.#.####....#.#..#..####..##.##..####.#......#####.#..#.#...###...#.....#.###.....#...#..##...#..##.#######.##.#..#.#.##..###..###.............##.##.........#..#....##......#.#.#.##.###.#...###.#...##.#....#..##...#..#..##...#..##.#######.##.#..#.#.##..###..###.............##.##.........#..#....##......#.#.#.##.###.#...###.#...##.#....#..##...#..#..##...#..##.#######.##.#..#.#.##..###..###.............##.##....#....#..#....##......#.#.#.##.###.#...###.#...##.#....#..##...#..#..##...#..##.#######.##.#..#.#.##..###..###.............##.##.........#..#....##......#.#.#.##.###.#...###.#...##.#....#..##...#..#..##...#..##.#######.##.#..#.#.##..###..###.............##.##.........#..#....##......#.#.#.##.###.#...###.#...##.#....#..##...#..#..##...#..##.#######.##.#..#.#.##..###..###.............##.##.........#..#....##......#.#.#.##.###.#.
....##.#...#.#..##..#.#...#.#.##..##.#..######...#.##...##..#..#.##.#..#.#..#.#..#..#...##.##.#....#...##...#......##.###.###.###.#.##...#....#.....#.#.#.###...###.#..#...#.#..#.####..##..#.#..#....##.#...###.##.##...#.#.#..##.#...#.#.###.#...#.#...#....##.####...####....##.######..#...##.#.####..###.....###.##.###....#.....#.#.#.####..####.#..####.###.#....#...#....##...#.#...#....##.####...####....##.######..#...##.#.####..###.....###.##.###....#.....#.#.#.####..####.#..####.###.#....#...#....##...#.#...#....##.####...####....##.######..#...##.#.####..###.....###.##.###....#.....#.#.#.####..####.#..####.###.#....#...#....##...#.#...#....##.####...####....##.######..#...##.#.####..###.....###.##.###....#.....#.#.#.####..####.#..####.###.#....#...#....##...#.#...#....##.####...####....##.######..#...##.#.####..###.....###.##.###....#.....#.#.#.####..####.#..####.###.#....#...#....##...#.#...#....##.####...####....##.######..#...##.#.####..###.....###.##.###....#.....#.#.#.####..####.#.
.#....##...#...##...###.#...##..###....##.....###..#..#.....#....#####.###..#.#.#.#.##.##.##.####.#.....#..####.##.##.##.#.##..#######.#.#.###.###.##..#.##.#.##...#######.#...#.......#.#####..##.#..#.#...#...#.##.#.##.#.#...#..##..#.###.#...##..###.#..#.#..##.##..#.###.......#...#.###........###.........#####.#....###......###...###.###.##.#.#..########...#.#.#.#.##..#.##..###.#..#.#..##.##..#.###.......#...#.###........###.........#####.#....###......###...###.###.##.#.#..########...#.#.#.#.##..#.##..###.#..#.#..##.##..#.###.......#...#.###........###.........#####.#....###......###...###.###.##.#.#..########...#.#.#.#.##..#.##..###.#..#.#..##.##..#.###.......#...#.###........###.........#####.#....###......###...###.###.##.#.#..########...#.#.#.#.##..#.##..###.#..#.#..##.##..#.###.......#...#.###........###.........#####.#....###......###...###.###.##.#.#..########...#.#.#.#.##..#.##..###.#..#.#..##.##..#.###.......#...#.###........###.........#####.#....###......###...###.###.##.#.#
#..#....#..##.##.#.#.....##.#..#.#.#.....#..#.#......#...#..##..#..#..##.####..##.#.######....#.#.####.#..#......#.#.##.###.#........###.##.####..#..#...#........##.#..####...#.##.....#...#.#.###...##..###.#..#.####.#......#..#.#.###.#.######..#...........###..##.#.###....##...######.##.#.#..##.##..#.#.....###..#...#.##.####.....#######..#....##...#...###.##..#...#...#.#..#...........###..##.#.###....##...######.##.#.#..##.##..#.#.....###..#...#.##.####.....#######..#....##...#...###.##..#...#...#.#..#...........###..##.#.###....##...######.##.#.#..##.##..#.#.....###..#...#.##.####.....#######..#....##...#...###.##..#...#...#.#..#...........###..##.#.###....##...######.##.#.#..##.##..#.#.....###..#...#.##.####.....#######..#....##...#...###.##..#...#...#.#..#...........###..##.#.###....##...######.##.#.#..##.##..#.#.....###..#...#.##.####.....#######..#....##...#...###.##..#...#...#.#..#...........###..##.#.###....##...######.##.#.#..##.##..#.#.....###..#...#.##.####.....#######..#....
..##.#.##.#..##.#..##..####.#.#.#.##..######...#..#..#.#.##..#####.##.##.####..####.#.#..#.#######.##.#.##..####......####.###..###..#.....##.###...#.###..#..#.#.#...#...####.#.##.#........##.##...#..###...#..#.#...###...#..#.###.#.#.##.###.###..#####.#.....######..#..######...#..#.#####..#.####......#.#..#######.#.#......#.######........###.#.....#....#...#..###...#..####..#####.#.....######..#..######...#..#.#####..#.####......#.#..#######.#.#......#.######........###.#.....#....#...#..###...#..####..#####.#.....######..#..######...#..#.#####..#.####......#.#..#######.#.#......#.######........###.#.....#....#...#..###...#..####..#####.#.....######..#..######...#..#.#####..#.####......#.#..#######.#.#......#.######........###.#.....#....#...#..###...#..####..#####.#.....######..#..######...#..#.#####..#.####......#.#..#######.#.#......#.######........###.#.....#....#...#..###...#..####..#####.#.....######..#..######...#..#.#####..#.####......#.#..#######.#.#......#.######........###.#
.##.####.##.....##..##.#.##.#.##...#.#...#.#...#..##.##.#......##.#.#......#.#.##.##.##..#...###.###.#.###.#...#.##.###.###.###.#...#..##....##..#........#..#....##..#.#.#.#...#..###.###.......##.####..##.####.##..#.#.##.#.#.##.#......#..###..##..##.##.....##...##......##...#..#..##..###.#.##..#..#.###...#....#..##.###.####...####..#..#.####.#...###.#....###..#.#.#####...##..##.##.....##...##......##...#..#..##..###.#.##..#..#.###...#....#..##.###.####...####..#..#.####.#...###.#....###..#.#.#####...##..##.##.....##...##......##...#..#..##..###.#.##..#..#.###...#....#..##.###.####...####..#..#.####.#...###.#....###..#.#.#####...##..##.##.....##...##......##...#..#..##..###.#.##..#..#.###...#....#..##.###.####...####..#..#.####.#...###.#....###..#.#.#####...##..##.##.....##...##......##...#..#..##..###.#.##..#..#.###...#....#..##.###.####...####..#..#.####.#...###.#....###..#.#.#####...##..##.##.....##...##......##...#..#..##..###.#.##..#..#.###...#....#..##.###.####...####..#..#.####.#
.#....##....#.#####.###.#.#.##....#.##..###..#.##.#.#......#..#.###.###.###.#.#..##.#.#..##.##..#..###.###.#....##..###.####..##..#......######..#..#######.##.......##...#..##..#..#.#...###..#..#.#.###.#.#..##.##.####..#.#.....#.###..#....#...##.##.##.####.#.#.#.##.......###.#..#....##.#..#..###..######..#..#..#...#..####.#.#..#..#####..#...##..##..#..##.#.#.##.###.####..##.##.##.####.#.#.#.##.......###.#..#....##.#..#..###..######..#..#..#...#..####.#.#..#..#####..#...##..##..#..##.#.#.##.###.####..##.##.##.####.#.#.#.##.......###.#..#....##.#..#..###..######..#..#..#...#..####.#.#..#..#####..#...##..##..#..##.#.#.##.###.####..##.##.##.####.#.#.#.##.......###.#..#....##.#..#..###..######..#..#..#...#..####.#.#..#..#####..#...##..##..#..##.#.#.##.###.####..##.##.##.####.#.#.#.##.......###.#..#....##.#..#..###..######..#..#..#...#..####.#.#..#..#####..#...##..##..#..##.#.#.##.###.####..##.##.##.####.#.#.#.##.......###.#..#....##.#..#..###..######..#..#..#...#..####.#.#..#..#####..#...##
#.##.....##..##.###.....##.###...#..###...#.......#.......#...###.##..#...#...###.#.#....##.#.#.#.##....####.#...##..........#...###......#...#.#..#...#.###.#..#..#.#..#.##...#..#.#.##.......#......#...###..#.##.#.##..###..###...#####.####.##....##.###..##.##########.#.#...##..###.###....#...##.##.#.####.#.##....######...###....#..#.###...##.####.#......###..#####.####.#....##.###..##.##########.#.#...##..###.###....#...##.##.#.####.#.##....######...###....#..#.###...##.####.#......###..#####.####.#....##.###..##.##########.#.#...##..###.###....#...##.##.#.####.#.##....######...###....#..#.###...##.####.#......###..#####.####.#....##.###..##.##########.#.#...##..###.###....#...##.##.#.####.#.##....######...###....#..#.###...##.####.#......###..#####.####.#....##.###..##.##########.#.#...##..###.###....#...##.##.#.####.#.##....######...###....#..#.###...##.####.#......###..#####.####.#....##.###..##.##########.#.#...##..###.###....#...##.##.#.####.#.##....######...###....#..#.###...##.#
...#.#.#.#.#.#..#....##....##..#.....###....#...#####..##.##.######.##...#..#.#.##..###.##..###...##.#.##..##.#...#.###.###.#####...###.#.....#.##.#...#...#.....##.###....#######....#..#..#..##..###.#.##.##.#.#..#..######.##.###..#...###..#...##.####..##.#..#....##.#.##.####..#...#....#.#..#.#..#....#...#.##.##........##.##....#..#...########...#....#.#.....#..#.##...##..##.####..##.#..#....##.#.##.####..#...#....#.#..#.#..#....#...#.##.##........##.##....#..#...########...#....#.#.....#..#.##...##..##.####..##.#..#....##.#.##.####..#...#....#.#..#.#..#....#...#.##.##........##.##....#..#...########...#....#.#.....#..#.##...##..##.####..##.#..#....##.#.##.####..#...#....#.#..#.#..#....#...#.##.##........##.##....#..#...########...#....#.#.....#..#.##...##..##.####..##.#..#....##.#.##.####..#...#....#.#..#.#..#....#...#.##.##........##.##....#..#...########...#....#.#.....#..#.##...##..##.####..##.#..#....##.#.##.####..#...#....#.#..#.#..#....#...#.##.##........##.##....#..#...########.
######....#.#..###...##.##.##..###...#...#..#########...##..#.###.##.###.#...##.#..###..#..##..#####..##..##.#..###...#..####..#.#..########..#.#..##.#..##.#.###.###.#...#......###........#...####.#.#.#..####...#.#.###.#.##.##.######.###...##..#....####.###..###..#...#.####..#..#..##.#..#.....#..#.#.#..#......#...#.....#.###...###..####....#..####.#.#..##.#.##....#..#..#..#....####.###..###..#...#.####..#..#..##.#..#.....#..#.#.#..#......#...#.....#.###...###..####....#..####.#.#..##.#.##....#..#..#..#....####.###..###..#...#.####..#..#..##.#..#.....#..#.#.#..#......#...#.....#.###...###..####....#..####.#.#..##.#.##....#..#..#..#....####.###..###..#...#.####..#..#..##.#..#.....#..#.#.#..#......#...#.....#.###...###..####....#..####.#.#..##.#.##....#..#..#..#....####.###..###..#...#.####..#..#..##.#..#.....#..#.#.#..#......#...#.....#.###...###..####....#..####.#.#..##.#.##....#..#..#..#....####.###..###..#...#.####..#..#..##.#..#.....#..#.#.#..#......#...#.....#.###...###..####....#..
...###.#.###.#.#####...##...####..#...##...#.###.#.#.###.#....##.#.#...#.....####........##.##..#..###.###...#..#.#...#..###.##..........###.##.#.##.....#...#.#.....##....##..#.....#..#.##.#....#######.....##..##.#.#.#..#....####.#.#..##.#...#.....##.###.##..#......#....#.#.##...###.##.##........#....##.##.##.##.#.#..#.....#.###...#.#....#.#.##.#.##.#.#.####.##..#..#.##.#.....##.###.##..#......#....#.#.##...###.##.##........#..#.##.##.##.##.#.#..#.....#.###...#.#....#.#.##.#.##.#.#.####.##..#..#.##.#.....##.###.##..#......#....#.#.##...###.##.##........#....##.##.##.##.#.#..#.....#.###...#.#....#.#.##.#.##.#.#.####.##..#..#.##.#.....##.###.##..#......#....#.#.##...###.##.##........#....##.##.##.##.#.#..#.....#.###...#.#....#.#.##.#.##.#.#.####.##..#..#.##.#.....##.###.##..#......#....#.#.##...###.##.##........#....##.##.##.##.#.#..#.....#.###...#.#....#.#.##.#.##.#.#.####.##..#..#.##.#.....##.###.##..#......#....#.#.##...###.##.##........#....##.##.##.##.#.#..#.....#.###...#.#....#.#.#
##.###.##.#.##.#.####.#...##..##.#..#.#...#..#..#.#.##.#.#..#.##.##.....##..#..######.##.#..#.#...###....####..#######.##.#####..#.#.#....#.##.#.##.#..#.#.#.#.#.###....###.###...#..##.##....#..#.#.#...#.####.#.####..##..#.#####..##...##.##...#.##.###.####..#...#.#...#.##.##.#...#..#.###....#.##.##.#.##.#.##...#.#...##........##.#####..#.####..##...##..###.######..##.....#.##.###.####..#...#.#...#.##.##.#...#..#.###....#.##.##.#.##.#.##...#.#...##........##.#####..#.####..##...##..###.######..##.....#.##.###.####..#...#.#...#.##.##.#...#..#.###....#.##.##.#.##.#.##...#.#...##........##.#####..#.####..##...##..###.######..##.....#.##.###.####..#...#.#...#.##.##.#...#..#.###....#.##.##.#.##.#.##...#.#...##........##.#####..#.####..##...##..###.######..##.....#.##.###.####..#...#.#...#.##.##.#...#..#.###....#.##.##.#.##.#.##...#.#...##........##.#####..#.####..##...##..###.######..##.....#.##.###.####..#...#.#...#.##.##.#...#..#.###....#.##.##.#.##.#.##...#.#...##........##.#####..#.####..
.###...##.###.####.#.##.#.#.#...#..#.##.##...#...#...#.########.####.#######...#.##..#.#..#####..#.#..#.###..#...###.........##.##..#.#.#........#.#..####.....#.#...#.##..##.#...#..#.##........#########...#.#.###.###....#...#..#.##.###...###..##..#...##...###.###..#..##.###.##.#.......#..#..##.##......#....###..##....#..#...#..##..#...###.#.#..##.###.#..##...#..####.#....##..#...##...###.###..#..##.###.##.#.......#..#..##.##......#....###..##....#..#...#..##..#...###.#.#..##.###.#..##...#..####.#....##..#...##...###.###..#..##.###.##.#.......#..#..##.##......#....###..##....#..#...#..##..#...###.#.#..##.###.#..##...#..####.#....##..#...##...###.###..#..##.###.##.#.......#..#..##.##......#....###..##....#..#...#..##..#...###.#.#..##.###.#..##...#..####.#....##..#...##...###.###..#..##.###.##.#.......#..#..##.##......#....###..##....#..#...#..##..#...###.#.#..##.###.#..##...#..####.#....##..#...##...###.###..#..##.###.##.#.......#..#..##.##......#....###..##....#..#...#..##..#...###.#.#.
...###.#.##.###.#.##.#.###.#...#####...##############....##.#.#.##.#......#.#######..#.....#..#.#.##.#.###.###.#.######.#.###..##..#.####.#.##..#..##.#...####.##.#.#..##...##..#.##.#.....#.##.####..#.#.#.#....#..##.#.#..##.###.#.###..#####..#..##..##...#.##..#....##.......#.#..#..#..##.##.##..####...###.##.#....#..#..#..######.#.#.######..#.##.#####.##.####.####.###.#.##..##..##...#.##..#....##.......#.#..#..#..##.##.##..####...###.##.#....#..#..#..######.#.#.######..#.##.#####.##.####.####.###.#.##..##..##...#.##..#....##.......#.#..#..#..##.##.##..####...###.##.#....#..#..#..######.#.#.######..#.##.#####.##.####.####.###.#.##..##..##...#.##..#....##.......#.#..#..#..##.##.##..####...###.##.#....#..#..#..######.#.#.######..#.##.#####.##.####.####.###.#.##..##..##...#.##..#....##.......#.#..#..#..##.##.##..####...###.##.#....#..#..#..######.#.#.######..#.##.#####.##.####.####.###.#.##..##..##...#.##..#....##.......#.#..#..#..##.##.##..####...###.##.#....#..#..#..######.#.#.######..#.##
#.#.#..#..##.#..#.....#..####..####.#..##..#.....###.#...#...#.###....#.....###.#...###.#...#...#.#..#.##..##...##.#..#...#.....##..#.###...#..#.####..#..#.##.##.......##...#......####..####.#.#####...##.#..#.###.#.##..###.#.#..#.###...#.#.#....#.#.#.#####.##.#..##.##.##..#....##..#.#...#.#..#...#..#..###...#.....#....#.##.##.###..#.#..#.#.#.#.#.#..#..##..#.##.#..#####.....#.#.#.#####.##.#..##.##.##..#....##..#.#...#.#..#...#..#..###...#.....#....#.##.##.###..#.#..#.#.#.#.#.#..#..##..#.##.#..#####.....#.#.#.#####.##.#..##.##.##..#....##..#.#...#.#..#...#..#..###...#.....#....#.##.##.###..#.#..#.#.#.#.#.#..#..##..#.##.#..#####.....#.#.#.#####.##.#..##.##.##..#....##..#.#...#.#..#...#..#..###...#.....#....#.##.##.###..#.#..#.#.#.#.#.#..#..##..#.##.#..#####.....#.#.#.#####.##.#..##.##.##..#....##..#.#...#.#..#...#..#..###...#.....#....#.##.##.###..#.#..#.#.#.#.#.#..#..##..#.##.#..#####.....#.#.#.#####.##.#..##.##.##..#....##..#.#...#.#..#...#..#..###...#.....#....#.##.##.###..#.#..#.#.#.#
..##...#.###.#..##.###...###...#.###.####..##.###.#....#.####.#..#####.#..#.##....#.....####..#.#...##.###....###.##..#.#...#.#.#####.###.#..##..#.###.##..###.#....#...###....#.#.#####....#....##.###.........##.##..##..##..##.##.##..#.###.##..###...#..###.#.#....#...####..##.###...###.#...#.#.#.##.#..##.....#..#..#.##.....#.###.#.##.#..#.#.#.#.###..#.#.##..###...##..#.#..###...#..###.#.#....#...####..##.###...###.#...#.#.#.##.#..##.....#..#..#.##.....#.###.#.##.#..#.#.#.#.###..#.#.##..###...##..#.#..###...#..###.#.#....#...####..##.###...###.#...#.#.#.##.#..##.....#..#..#.##.....#.###.#.##.#..#.#.#.#.###..#.#.##..###...##..#.#..###...#..###.#.#....#...####..##.###...###.#...#.#.#.##.#..##.....#..#..#.##.....#.###.#.##.#..#.#.#.#.###..#.#.##..###...##..#.#..###...#..###.#.#....#...####..##.###...###.#...#.#.#.##.#..##.....#..#..#.##.....#.###.#.##.#..#.#.#.#.###..#.#.##..###...##..#.#..###...#..###.#.#....#...####..##.###...###.#...#.#.#.##.#..##.....#..#..#.##.....#.###.#.##.#..#.#.#.#
#######..##.##.#.#.#.#..#.........#.####...###..##.#.##...###.#.#####.#.##.###.#.#.#######.#.###.#.#...#...####..####....####...##...##...#.##..#..#.#.###.#.###..##.#......#..######.#..##.#..#.##.#.#.#.###...##.#..#..##...##...#..#...#####....#.##.#.#.######..#.#.##..##..#..###.#.#..#...#.#.##....##....#..#.##.##.##....#..###.#.#.#..##.#..#####..#..#..#.#.#..#.#.#..##.#..#.##.#.#.######..#.#.##..##..#..###.#.#..#...#.#.##....##....#..#.##.##.##....#..###.#.#.#..##.#..#####..#..#..#.#.#..#.#.#..##.#..#.##.#.#.######..#.#.##..##..#..###.#.#..#...#.#.##....##....#..#.##.##.##....#..###.#.#.#..##.#..#####..#..#..#.#.#..#.#.#..##.#..#.##.#.#.######..#.#.##..##..#..###.#.#..#...#.#.##....##....#..#.##.##.##....#..###.#.#.#..##.#..#####..#..#..#.#.#..#.#.#..##.#..#.##.#.#.######..#.#.##..##..#..###.#.#..#...#.#.##....##....#..#.##.##.##....#..###.#.#.#..##.#..#####..#..#..#.#.#..#.#.#..##.#..#.##.#.#.######..#.#.##..##..#..###.#.#..#...#.#.##....##....#..#.##.##.##....#..###.#.#.#..##.#..####
#.#..##....#######..#....#.####.#....#...##.....#..#....#.##...#..##.#.##.#.#..#.#....####...##..####.##..###..##...##.#.#####.####...###.##.####.###.......#.#####.#.##.##...#.#.#..#.##.###.####.##....#.###.#..##...#..#.##.###..##..#.##...##.######...#....##.##....#.....##.....#..##..####.##...##.####..#.......#.#.....#...######.#..#.####.##.#.#....##.##.##.###.####..#..######...#....##.##....#..#..##.....#..##..####.##...##.####..#.......#.#.....#...######.#..#.####.##.#.#....##.##.##.###.####..#..######...#....##.##....#.....##.....#..##..####.##...##.####..#.......#.#.....#...######.#..#.####.##.#.#....##.##.##.###.####..#..######...#....##.##....#.....##.....#..##..####.##...##.####..#.......#.#.....#...######.#..#.####.##.#.#....##.##.##.###.####..#..######...#....##.##....#.....##.....#..##..####.##...##.####..#.......#.#.....#...######.#..#.####.##.#.#....##.##.##.###.####..#..######...#....##.##....#.....##.....#..##..####.##...##.####..#.......#.#.....#...######.#..#.####.##.#
#..###.##...#.#..###.#.###.#####.......####..#..#....###..###...##.#...##.##..##..###..###.##.#.##...###.#.#....##.########.##.##.##.###..##.#....###...##.#..##.##...#.##.#.#..#..##...#.#.##.#.#.####......##...#####.#...#..#.#...#.##.###.###...###.##...###.#.#..######.#....#.#.##..##.#.##.##.......##..#..#...###.....####.####.#.#.#..#.#...#.##.###.###.#....#.###...###.#...###.##...###.#.#..######.#....#.#.##..##.#.##.##.......##..#..#...###.....####.####.#.#.#..#.#...#.##.###.###.#....#.###...###.#...###.##...###.#.#..######.#....#.#.##..##.#.##.##.......##..#..#...###.....####.####.#.#.#..#.#...#.##.###.###.#....#.###...###.#...###.##...###.#.#..######.#....#.#.##..##.#.##.##.......##..#..#...###.....####.####.#.#.#..#.#...#.##.###.###.#....#.###...###.#...###.##...###.#.#..######.#....#.#.##..##.#.##.##.......##..#..#...###.....####.####.#.#.#..#.#...#.##.###.###.#....#.###...###.#...###.##...###.#.#..######.#....#.#.##..##.#.##.##.......##..#..#...###.....####.####.#.#.#..#.#...#.##
.#####.##.#.#####.#.###.#.#.###.#.##.#.#.###....###..###..#...###.####....#.###.#.##....#.#..###..##..##.#...#....#.###.##..#.#.##..##....#.#####.#.###.#####.....####...#.##...##..#####...##..#.#########....####.##..##...#####.#..#.#.#...#...#.####.#.#.#....###....###...##..######.##..#####..#.#...#.#...##########..###....##.#.#.##...###.#.#...##..##..###...##....###.##.#.####.#.#.#....###....###...##..######.##..#####..#.#...#.#...##########..###....##.#.#.##...###.#.#...##..##..###...##....###.##.#.####.#.#.#....###....###...##..######.##..#####..#.#...#.#...##########..###....##.#.#.##...###.#.#...##..##..###...##....###.##.#.####.#.#.#....###....###...##..######.##..#####..#.#...#.#...##########..###....##.#.#.##...###.#.#...##..##..###...##....###.##.#.####.#.#.#....###....###...##..######.##..#####..#.#...#.#...##########..###....##.#.#.##...###.#.#...##..##..###...##....###.##.#.####.#.#.#....###....###...##..######.##..#####..#.#...#.#...##########..###....##.#.#.##...###.#.#..
......###.#...#..#.#.####...######..#.#..#..#..####.#..#.####...##.##...#..##.....#.##..###..###.##..#....######.####.##.#.###...###.######..#.########.......##...#####..#######.#####.....#.##.#..####.....#.#######.##..#..#....#..##.##....#.#.##.#..#.....#...#####.###.#.#.#.#..###...#.#..##..##.....#......###.####....#..#.##.###.#.#.##...####.##......##.#.#.#...####.##.#.##.#..#.....#...#####.###.#.#.#.#..###...#.#..##..##.....#......###.####....#..#.##.###.#.#.##...####.##......##.#.#.#...####.##.#.##.#..#.....#...#####.###.#.#.#.#..###...#.#..##..##.....#......###.####....#..#.##.###.#.#.##...####.##......##.#.#.#...####.##.#.##.#..#.....#...#####.###.#.#.#.#..###...#.#..##..##.....#......###.####....#..#.##.###.#.#.##...####.##......##.#.#.#...####.##.#.##.#..#.....#...#####.###.#.#.#.#..###...#.#..##..##.....#......###.####....#..#.##.###.#.#.##...####.##......##.#.#.#...####.##.#.##.#..#.....#...#####.###.#.#.#.#..###...#.#..##..##.....#......###.####....#..#.##.###.#.#.##...####.
#..##..###....#.##..#.#.##.....#..#.#####..###.#.......####..####...#.##..#...###..##.##.#.#....###.##..##...#.###..####..#..##...##.##.##..####.#.#..##.#.#.#....####..#.##..#..#...#..#.#..###.#.#..#.#####..##..#.....###...#.#.###...##.########.##....#.###.#.##..###.#.#..#.#...#....#...#.#####.##.#.#.###..#..#..#.###.#....#.###...##.#..###.#.....##.##.###.#....#.##..#..###.##....#.###.#.##..###.#.#..#.#...#....#...#.#####.##.#.#.###..#..#..#.###.#....#.###...##.#..###.#.....##.##.###.#....#.##..#..###.##....#.###.#.##..###.#.#..#.#...#....#...#.#####.##.#.#.###..#..#..#.###.#....#.###...##.#..###.#.....##.##.###.#....#.##..#..###.##....#.###.#.##..###.#.#..#.#...#....#...#.#####.##.#.#.###..#..#..#.###.#....#.###...##.#..###.#.....##.##.###.#....#.##..#..###.##....#.###.#.##..###.#.#..#.#...#....#...#.#####.##.#.#.###..#..#..#.###.#....#.###...##.#..###.#.....##.##.###.#....#.##..#..###.##....#.###.#.##..###.#.#..#.#...#....#...#.#####.##.#.#.###..#..#..#.###.#....#.###...##.#..###.#..
..##.#####.##.####.#.##.#####.#....##.#..#..##.##..######....#####...#.###.#..##.#.#.###....###.######.#.###...#....##.#.###..#..#.##..##...###.#..#.##.####.###..#..#.####...##..###.#..#.#.##...#.###...##.####....#.########..##.#.#.###.#.#.....##.##.#.#####..###...##..#####.#.###...##.#...#.##...#.#####.#.#...##.##.########.##.#....#....##.#.####.#.#..#...##.###.###..##...##.##.#.#####..###...##..#####.#.###...##.#...#.##...#.#####.#.#...##.##.########.##.#....#....##.#.####.#.#..#...##.###.###..##...##.##.#.#####..###...##..#####.#.###...##.#...#.##...#.#####.#.#...##.##.########.##.#....#....##.#.####.#.#..#...##.###.###..##...##.##.#.#####..###...##..#####.#.###...##.#...#.##...#.#####.#.#...##.##.########.##.#....#....##.#.####.#.#..#...##.###.###..##...##.##.#.#####..###...##..#####.#.###...##.#...#.##...#.#####.#.#...##.##.########.##.#....#....##.#.####.#.#..#...##.###.###..##...##.##.#.#####..###...##..#####.#.###...##.#...#.##...#.#####.#.#...##.##.########.##.#....#....##.#.#
.#.######...####.##.###...###..##.##.#.####...###.##....###..#..##.#.....###.#..###.##.####.#..########.#.###.#....#.#.####.##.##....####.#.....#..##...#...#.#...#.....###...###..#..#.#....###...#..###..#.#.#..#.#.#...###.#.##..##........#...##..#####.##.##.##.##.#.##.##.#.##.#####..####.#....##.#...##.########...#.#.##.#..###.#.#.###....#####..#....##..#..###.#.#...##..##..#####.##.##.##.##.#.##.##.#.##.#####..####.#....##.#...##.########...#.#.##.#..###.#.#.###....#####..#....##..#..###.#.#...##..##..#####.##.##.##.##.#.##.##.#.##.#####..####.#....##.#...##.########...#.#.##.#..###.#.#.###....#####..#....##..#..###.#.#...##..##..#####.##.##.##.##.#.##.##.#.##.#####..####.#....##.#...##.########...#.#.##.#..###.#.#.###....#####..#....##..#..###.#.#...##..##..#####.##.##.##.##.#.##.##.#.##.#####..####.#....##.#...##.########...#.#.##.#..###.#.#.###....#####..#....##..#..###.#.#...##..##..#####.##.##.##.##.#.##.##.#.##.#####..####.#....##.#...##.########...#.#.##.#..###.#.#.###....#####
##...#....#...####...#...####...#..####........#..#......#..#........#..#.#####.#..##.....##.###.#...#.##.#.#....#.#..####....##.##...#..###..###.#.#.#..#..###.##.#..#....###.....#.....##..#...####..#.....##..##.#..#...##...##.#.#.##..###.##..##..###.##..#..###...##...#..###.##.####.....#.#..####.#..##..#.....####....#..###..##...#..#..#..#.##..##.#..##.##.#..#..#..##....##..###.##..#..###...##...#..###.##.####.....#.#..####.#..##..#.....####....#..###..##...#..#..#..#.##..##.#..##.##.#..#..#..##....##..###.##..#..###...##...#..###.##.####.....#.#..####.#..##..#.....####....#..###..##...#..#..#..#.##..##.#..##.##.#..#..#..##....##..###.##..#..###...##...#..###.##.####.....#.#..####.#..##..#.....####....#..###..##...#..#..#..#.##..##.#..##.##.#..#..#..##....##..###.##..#..###...##...#..###.##.####.....#.#..####.#..##..#.....####....#..####.##...#..#..#..#.##..##.#..##.##.#..#..#..##....##..###.##..#..###...##...#..###.##.####.....#.#..####.#..##..#.....####....#..###..##...#..#..#..#.##
.##..#....#.......#.##...#..###..#.#####...#.#.#.###.##.#..##.#...#.#.#.##.#..##......##.#..###.#.##.#....#..###....####.#...###.#.#...#..##.#.######.###..###.###...#..#.#.##..#..###..###.####...#...#..##...####..##....##.##.##.#####.#.#.#.##...###.####.####..#######..#.##.######.#.##.#.##...#####.###...##.###.##.#....##..#.#####.....#..#.###..#...#....##.#.##..##.#.#.##...###.####.####..#######..#.##.######.#.##.#.##...#####.###...##.###.##.#....##..#.#####.....#..#.###..#...#....##.#.##..##.#.#.##...###.####.####..#######..#.##.######.#.##.#.##...#####.###...##.###.##.#....##..#.#####.....#..#.###..#...#....##.#.##..##.#.#.##...###.####.####..#######..#.##.######.#.##.#.##...#####.###...##.###.##.#....##..#.#####.....#..#.###..#...#....##.#.##..##.#.#.##...###.####.####..#######..#.##.######.#.##.#.##...#####.###...##.###.##.#....##..#.#####.....#..#.###..#...#....##.#.##..##.#.#.##...###.####.####..#######..#.##.######.#.##.#.##...#####.###...##.###.##.#....##..#.#####.....#..#.###.
######.###..#..##..#.#.##.##..#.#.#######....#####......#.#....##.##.#.#......#####..###.##.#..####...#.###.###..#....#.#.#.....#...###.####.#.###..#...#.....#######..#..#.###....###.##.####..#####.#.###..###...#.#######.#..###.######.#.#..#.#.##.####.##..#....##.#..##...##.#..#.##.####..##..#..#.###..#..##..###....#..###..#..######..#######.#..#######.##..##..###.#..##.#.##.####.##..#....##.#..##...##.#..#.##.####..##..#..#.###..#..##..###....#..###..#..######..#######.#..#######.##..##..###.#..##.#.##.####.##..#....##.#..##...##.#..#.##.####..##..#..#.###..#..##..###....#..###..#..######..#######.#..#######.##..##..###.#..##.#.##.####.##..#....##.#..##...##.#..#.##.####..##..#..#.###..#..##..###....#..###..#..######..#######.#..#######.##..##..###.#..##.#.##.####.##..#....##.#..##...##.#..#.##.####..##..#..#.###..#..##..###....#..###..#..######..#######.#..#######.##..##..###.#..##.#.##.####.##..#....##.#..##...##.#..#.##.####..##..#..#.###..#..##..###....#..###..#..######..#######.#
#..#.###..#.#.##...#####..##...####.#..##.#..#.#..####....#.##...###.##..#..#..#.#..##.###.#####..##.......#####.#..#..#..#.#####.#.#.#######..#.###.###..###.####.#.#####.##..#..##......##.#..#####......##....#...#.#.##.##..#..###..#.##.###..###..##.#..##..#..#.#..####..###.#..#........###......#..#.####.....#..#.##.#.###...##.#....#...###....##.####.#..##.##...#...##.#.###..##.#..##..#..#.#..####..###.#..#........###......#..#.####.....#..#.##.#.###...##.#....#...###....##.####.#..##.##...#...##.#.###..##.#..##..#..#.#..####..###.#..#........###......#..#.####.....#..#.##.#.###...##.#....#...###....##.####.#..##.##...#...##.#.###..##.#..##..#..#.#..####..###.#..#........###......#..#.####.....#..#.##.#.###...##.#....#...###....##.####.#..##.##...#...##.#.###..##.#..##..#..#.#..####..###.#..#........###......#..#.####.....#..#.##.#.###...##.#....#...###....##.####.#..##.##...#...##.#.###..##.#..##..#..#.#..####..###.#..#........###......#..#.####.....#..#.##.#.###...##.#....#...###....
..##.#...#.#.....##.#.#.##.##......#.#..#.#....###.#..##..#..###.###.#.....######.....#...#.#.###.#.####..##.#.#.#..###.#..####.##.##.#.#.###...##..##..#..##..#..#...##.##...###.#...##.####...#..#.#..#...###..###..#.#.#.#.#..#.##.#.#....###.##...###.#.##.###.#...#####.#.##.##..##.####..##..##.#......#.###.#..#..#......##..###.##.######.##...#.....###..##########..##....##...###.#.##.###.#...#####.#.##.##..##.####..##..##.#......#.###.#..#..#......##..###.##.######.##...#.....###..##########..##....##...###.#.##.###.#...#####.#.##.##..##.####..##..##.#......#.###.#..#..#......##..###.##.######.##...#.....###..##########..##....##...###.#.##.###.#...#####.#.##.##..##.####..##..##.#......#.###.#..#..#......##..###.##.######.##...#.....###..##########..##....##...###.#.##.###.#...#####.#.##.##..##.####..##..##.#......#.###.#..#..#......##..###.##.######.##...#.....###..##########..##....##...###.#.##.###.#...#####.#.##.##..##.####..##..##.#......#.###.#..#..#......##..###.##.######.##...#.
#####.##.#.#.#####........#....#......###.#.#......###..##.#...#.#..##..#.#...#.##......##...###.#.##..##..###....########.#..#.###.##..#..#..#..#.##.######.#...##..##.##.##..#####.##.#...##.#.....###...#.##.#.#.#.###..#...##.####..##.###........#..####.....#.##.....#.##..#####.#.#.#..##.#####...#.#...##.....##...###.##.#...##.##..##...#..#.####...##.#.#..######.#.####......#..####.....#.##.....#.##..#####.#.#.#..##.#####...#.#...##.....##...###.##.#...##.##..##...#..#.####...##.#.#..######.#.####......#..####.....#.##.....#.##..#####.#.#.#..##.#####...#.#...##.....##...###.##.#...##.##..##...#..#.####...##.#.#..######.#.####......#..####.....#.##.....#.##..#####.#.#.#..##.#####...#.#...##.....##...###.##.#...##.##..##...#..#.####...##.#.#..######.#.####......#..####.....#.##.....#.##..#####.#.#.#..##.#####...#.#...##.....##...###.##.#...##.##..##...#..#.####...##.#.#..######.#.####......##.####.....#.##.....#.##..#####.#.#.#..##.#####...#.#...##.....##...###.##.#...##.##..##...#..#.##
#.####.#.#...##......###.##.....####..###....##.###....##.####.#.#.#..##...##.#.#....##....##.#..##.##..###....###.##.#.#...#..##..#.#.##....#.#.####...##.#...#...#..###.#.##....##.#.....#..##.#...##.#####.####.###.#.##.##.#.##..##......#.###..#...#####...###.#.#.###.###...#.####..#......####.###.#.###..##..####..###.###..###..###....###..#..##.#..#.#...#.##..##..#.###.#..#...#####...###.#.#..##.###...#.####..#......####.###.#.###..##..####..###.###..###..###....###..#..##.#..#.#...#.##..##..#.###.#..#...#####...###.#.#..##.###...#.####..#......####.###.#.###..##..####..###.###..###..###....###..#..##.#..#.#...#.##..##..#.###.#..#...#####...###.#.#..##.###...#.####..#......####.###.#.###..##..####..###.###..###..###....###..#..##.#..#.#...#.##..##..#.###.#..#...#####...###.#.#..##.###...#.####..#......####.###.#.###..##..####..###.###..###..###....###..#..##.#..#.#...#.##..##..#.###.#..#...#####...###.#.#..##.###...#.####..#......####.###.#.###..##..####..###.###..###..###....###..#..#
.#.#####...##..####..#.....###.#.##.#.######.######..#.##..#.....#....###..###.#...#..####....#..##..###.#.#.###.#.#.##..##.##..##.#..#.###..#.#.##.#.##.#.##.##..###.####........#.###..#.#......#####.#.....#..#.#..#..##..##.##.###.#.##....####....#.#..##...###....##...##.#.###..###.#.###..#####...###..#..##.#..#.#..##.#.######..#...#.#..####.#.#.##.##..#.#..##.####.#..###....#.#..##...###....##...##.#.###..###.#.###..#####...###..#..##.#..#.#..##.#.######..#...#.#..####.#.#.##.##..#.#..##.####.#..###....#.#..##...###....##...##.#.###..###.#.###..#####...###..#..##.#..#.#..##.#.######..#...#.#..####.#.#.##.##..#.#..##.####.#..###....#.#..##...###....##...##.#.###..###.#.###..#####...###..#..##.#..#.#..##.#.######..#...#.#..####.#.#.##.##..#.#..##.####.#..###....#.#..##...###....##...##.#.###..###.#.###..#####...###..#..##.#..#.#..##.#.######..#...#.#..####.#.#.##.##..#.#..##.####.#..###....#.#..##...###....##...##.#.###..###.#.###..#####...###..#..##.#..#.#..##.#.######..#...#.#..####.#
.......#.###.######.#...#....##..##.######..##....#.#..#.####..#.##..#.#..##..###..##.#....#...###.##...#....#.######.###.#.##..#...###.#.###...######..##..######...#.#####..#.###.#...#....#.##...#...##..#....##.....#.#.#..##.##.####.##.##.##..#.....##.#.##..#.#.#.######.#...###.#.##..###.#..#..###.####..##.##......###...#..##.....#..###.#....#####.#.##.#####..#....#.###..#.....##.#.##..#.#.#.######.#...###.#.##..###.#..#..###.####..##.##......###...#..##.....#..###.#....#####.#.##.#####..#....#.###..#.....##.#.##..#.#.#.######.#...###.#.##..###.#..#..###.####..##.##......###...#..##.....#..###.#....#####.#.##.#####..#....#.###..#.....##.#.##..#.#.#.######.#...###.#.##..###.#..#..###.####..##.##......###...#..##.....#..###.#....#####.#.##.#####..#....#.###..#.....##.#.##..#.#.#.######.#...###.#.##..###.#..#..###.####..##.##......###...#..##.....#..###.#....#####.#.##.#####..#....#.###..#.....##.#.##..#.#.#.######.#...###.#.##..###.#..#..###.####..##.##......###...#..##.....#..###.#....
.#...#####....###.###...##.###...#.###..#.#.#..#.###..#.#..##...#.###.....#..####...#.#...#.#...#......#..#..#.#####.#.#....#.#....#.###.#...#.........###...###.#.#####.###....#.##.###.....#..###.#.###......#..####.###.###.#.##....#...##.###.#.#..###....#######.##...#####....#..#.#.####.....#....#.#....#...###..########..#.....#.####...#...#..#.#.##...###.#.##.#..###.##.#.#..###....#######.##...#####....#..#.#.####.....#....#.#....#...###..########..#.....#.####...#...#..#.#.##...###.#.##.#..###.##.#.#..###....#######.##...#####....#..#.#.####.....#....#.#....#...###..########..#.....#.####...#...#..#.#.##...###.#.##.#..###.##.#.#..###....#######.##...#####....#..#.#.####.....#....#.#....#...###..########..#.....#.####...#...#..#.#.##...###.#.##.#..###.##.#.#..###....#######.##...#####....#..#.#.####.....#....#.#....#...###..########..#.....#.####...#...#..#.#.##...###.#.##.#..###.##.#.#..###....#######.##...#####....#..#.#.####.....#....#.#....#...###..########..#.....#.####...#...#..
....#.#.##...###.####.####.#.#..###.####..#..###....##...####.###...#.#.#....##.#.##.##....#.#.##..#..#...##.##...##.#..#.#....###.######.#.#..#..##.#..#...##.....#....#.##.#..#.#.#.#.#######...#.#.....##.######.#.......#.########..###.###.#.#.#.######..#..#.###.##..#..##.##.#.##..#.#.#..##..##.######...#...#..##..........#...#......###..##.##.#....##..#.#..#...#....#.#.#.#.######..#..#.###.##..#..##.##.#.##..#.#.#..##..##.######...#...#..##..........#...#......###..##.##.#....##..#.#..#...#....#.#.#.#.######..#..#.###.##..#..##.##.#.##..#.#.#..##..##.######...#...#..##..........#...#......###..##.##.#....##..#.#..#...#....#.#.#.#.######..#..#.###.##..#..##.##.#.##..#.#.#..##..##.######...#...#..##..........#...#......###..##.##.#....##..#.#..#...#....#.#.#.#.######..#..#.###.##..#..##.##.#.##..#.#.#..##..##.######...#...#..##..........#...#......###..##.##.#....##..#.#..#...#....#.#.#.#.######..#..#.###.##..#..##.##.#.##..#.#.#..##..##.######...#...#..##..........#...#......###..##.##
......####.#...###.#.#.###.....#....###.....#.#.###.###...###.#..#.######..##.###.#.###.###....###.#...#..#.#######..#..##....#.#.....#####.#.##.##...###.###.#...#...#....#.#....##..##...#..###.#.##...##......###.....#.#.#.#.##.#####..#.........###.#.##..#.#.#..######......######.#.##.#####...##.######....#.#.##.....#..##..##.#.##..##...#####.##.##..###.####.##..#..####....###.#.##..#.#.#..######......######.#.##.#####...##.######....#.#.##.....#..##..##.#.##..##...#####.##.##..###.####.##..#..####....###.#.##..#.#.#..######......######.#.##.#####...##.######....#.#.##.....#..##..##.#.##..##...#####.##.##..###.####.##..#..####....###.#.##..#.#.#..######......######.#.##.#####...##.######....#.#.##.....#..##..##.#.##..##...#####.##.##..###.####.##..#..####....###.#.##..#.#.#..######......######.#.##.#####...##.######....#.#.##.....#..##..##.#.##..##...#####.##.##..###.####.##..#..####....###.#.##..#.#.#..######......######.#.##.#####...##.######....#.#.##.....#..##..##.#.##..##...#####.
...#.#.#......#####.###.##.###..#.#.......#......###....##......##.##..#.#..#.##.######....#..#.##...###..#..####.#...##..###..#.#..#.#...#.#.#.....#.#.#.#..###....##...###.#.#.#..##..#.##.##.....###.####..##.#.##...###.#...##..#.....#...#.#####.####.#.#.##.###.#..#.#.#..#...##.##.###..######....######....#######.##.#.#.#....###....#.##.#..#....###.#..####.##.#####..#..####.####.#.#.##.###.#..#.#.#..#...##.##.###..######....######....#######.##.#.#.#....###....#.##.#..#....###.#..####.##.#####..#..####.####.#.#.##.###.#..#.#.#..#...##.##.###..######....######....#######.##.#.#.#....###....#.##.#..#....###.#..####.##.#####..#..####.####.#.#.##.###.#..#.#.#..#...##.##.###..######....######....#######.##.#.#.#....###....#.##.#..#....###.#..####.##.#####..#..####.####.#.#.##.###.#..#.#.#..#...##.##.###..######....######....#######.##.#.#.#....###....#.##.#..#....###.#..####.##.#####..#..####.####.#.#.##.###.#..#.#.#..#...##.##.###..######....######....#######.##.#.#.#....###....#.##.#..#..
.##.#.##.######..#.#......##..#.#.####...##.#####..######....##.##..#....##...####...#.##.#..#####.##....##.##.#....#...#...###.###.....###......#####.###.#.##...####.#.###....##.###....#.#.##..#....#.....####..#.....#.#..##.#..#.#..#...#..#.#.#.#..##.##.##..#....##.####.#....###...##...#.#.#.###.#...#.#..#.#..........#..###.###.###.####.#...#..#.####.#.##.##.#...###..#.#.#.#..##.##.##..#....##.####.#....###...##...#.#.#.###.#...#.#..#.#..........#..###.###.###.####.#...#..#.####.#.##.##.#...###..#.#.#.#..##.##.##..#....##.####.#....###...##...#.#.#.###.#...#.#..#.#..........#..###.###.###.####.#...#..#.####.#.##.##.#...###..#.#.#.#..##.##.##..#....##.####.#....###...##...#.#.#.###.#...#.#..#.#..........#..###.###.###.####.#...#..#.####.#.##.##.#...###..#.#.#.#..##.##.##..#....##.####.#....###...##...#.#.#.###.#...#.#..#.#..........#..###.###.###.####.#...#..#.####.#.##.##.#...###..#.#.#.#..##.##.##..#....##.####.#....###...##...#.#.#.###.#...#.#..#.#..........#..###.###.###.####.#...#
####..###..#.#.##..#..#.##.#.#.#.#.#.#.#.###...........#...##.#..#....##...###......#...##.##...####.####.###.#..###.#..###.###..#.....#.##.###.##.....#.#..#...#...###########.#.##.#.##.##.###...#..##.....##..##...##.#..#.....##..#...#..#..#.#######.##...#......######...#..#.....#.##...#.#...##.##.#.##.#....#######...##.##.#.#.#.#.....#..####..#.#..#.####..#.#.#.#.#.#.#.#######.##...#......######...#..#.....#.##...#.#...##.##.#.##.#....#######...##.##.#.#.#.#.....#..####..#.#..#.####..#.#.#.#.#.#.#.#######.##...#......######...#..#.....#.##...#.#...##.##.#.##.#....#######...##.##.#.#.#.#.....#..####..#.#..#.####..#.#.#.#.#.#.#.#######.##...#......######...#..#.....#.##...#.#...##.##.#.##.#....#######...##.##.#.#.#.#.....#..####..#.#..#.####..#.#.#.#.#.#.#.#######.##...#......######...#..#.....#.##...#.#...##.##.#.##.#....#######...##.##.#.#.#.#.....#..####..#.#..#.####..#.#.#.#.#.#.#.#######.##...#......######...#..#.....#.##...#.#...##.##.#.##.#....#######...##.##.#.#.#.#.....#..####.
##.##.####..#..##.#..##.#..###..##....#....###.#..########...#.##.#.#....###....#..##......#.###....####...#.#.....#.####...#.##.#.......#.##.###.###.....#..#.####.#..######..##...###..#..#.##.####.######....####..##.#....#....#.....##..##########.#....#...#.##.#.###.##..#.#.###..#.#.#####..........###.#.#......#..###..#...#.#..###..#.#..##.#......#.#...#.#...###.#....#######.#....#...#.##.#.###.##..#.#.###..#.#.#####..........###.#.#......#..###..#...#.#..###..#.#..##.#......#.#...#.#...###.#....#######.#....#...#.##.#.###.##..#.#.###..#.#.#####..........###.#.#......#..###..#...#.#..###..#.#..##.#......#.#...#.#...###.#....#######.#....#...#.##.#.###.##..#.#.###..#.#.#####..........###.#.#......#..###..#...#.#..###..#.#..##.#......#.#...#.#...###.#....#######.#....#...#.##.#.###.##..#.#.###..#.#.#####..........###.#.#......#..###..#...#.#..###..#.#..##.#......#.#...#.#...###.#....#######.#....#...#.##.#.###.##..#.#.###..#.#.#####..........###.#.#......#..###..#...#.#..###..#.#..##.#.
####.....#..###.#.#.#......###...#..###.#.##.#..###.#.#.....#.###..###..#.##.....###..###...##..###.##....#.###.####.#.....##....##.#...#.###....#####..##..###.#...##.##....#.#.##....#.....###.#..#..#.###....####....##...#.#..###.###...##..##...#..#..#......##...#.###.#.#.#...#...###.#..###..#.#.#..####.#.##.##.###..#.##.#...#.#.#..#...##.##....##..#..#..##..#...#..#..##...#..#..#......##...#.###.#.#.#...#...###.#..###..#.#.#..####.#.##.##.###..#.##.#...#.#.#..#...##.##....##..#..#..##..#...#..#..##...#..#..#......##...#.###.#.#.#...#...###.#..###..#.#.#..####.#.##.##.###..#.##.#...#.#.#..#...##.##....##..#..#..##..#...#..#..##...#..#..#......##...#.###.#.#.#...#...###.#..###..#.#.#..####.#.##.##.###..#.##.#...#.#.#..#...##.##....##..#..#..##..#...#..#..##...#..#..#......##...#.###.#.#.#...#...###.#..###..#.#.#..####.#.##.##.###..#.##.#...#.#.#..#...##.##....##..#..#..##..#...#..#..##...#..#..#......##...#.###.#.#.#...#...###.#..###..#.#.#..####.#.##.##.###..#.##.#...#.#.#..#...##.##..
...#...##.##......#.#.###...#.#..###...##...####..#....######.##.#....#...#.#..#..##....#.###.##.#.##.#.##...#..#.##.#.##..#.####.#.####.####...####.#..#..#...##..#...####..#..###.##.###.###.....##..#....#.##.#.#.#####.#..#.#.###.#..###.#.#######...#######.#..#......###.#.#.##..##.#.#.#.......###.#.#####..######....###.##..#.##....#....#.####....###..#....##.#......#########...#######.#..#......###.#.#.##..##.#.#.#.......###.#.#####..######....###.##..#.##....#....#.####....###..#....##.#......#########...#######.#..#......###.#.#.##..##.#.#.#.......###.#.#####..######....###.##..#.##....#....#.####....###..#....##.#......#########...#######.#..#......###.#.#.##..##.#.#.#.......###.#.#####..######....###.##..#.##....#....#.####....###..#....##.#......#########...#######.#..#......###.#.#.##..##.#.#.#.......###.#.#####..######....###.##..#.##....#....#.####....###..#....##.#......#########...#######.#..#......###.#.#.##..##.#.#.#.......###.#.#####..######....###.##..#.##....#....#.####.
.#####..#.#...#..###.#..#.#...#.####.#.##.##.###.#..##..##.#####..######.#.#..##.#.#..#.#...#.#.####.....####...###.##.###.####..#.###...##...#..##.####...#..#......##..#.....#...####.#..#....##.###....#.##.#.###.#.##.#.##...#.###.####..#.##.##.#.........##.####.#.....#.#...#####....#..##..#.#.##.###.#...##....#..#.#..##....#.#...###.##..#.#..#..#..#.....###....##..#..#.##.#.........##.####.#.....#.#...#####....#..##..#.#.##.###.#...##....#..#.#..##....#.#...###.##..#.#..#..#..#.....###....##..#..#.##.#.........##.####.#.....#.#...#####....#..##..#.#.##.###.#...##....#..#.#..##....#.#...###.##..#.#..#..#..#.....###....##..#..#.##.#.........##.####.#.....#.#...#####....#..##..#.#.##.###.#...##....#..#.#..##....#.#...###.##..#.#..#..#..#.....###....##..#..#.##.#.........##.####.#.....#.#...#####....#..##..#.#.##.###.#...##....#..#.#..##....#.#...###.##..#.#..#..#..#.....###....##..#..#.##.#.........##.####.#.....#.#...#####....#..##..#.#.##.###.#...##....#..#.#..##....#.#...###.##..#.#..
..#...##.##..#.#####.#.####..##.##..##.##.#..####.#..##......#..#...#.##.#.####...#####....####.#.......###...#.#...###.##.##.##.#.##.##.##.##..#.######..###.#.#.##.####....#...#....##.##...##.#....##.#.......##.###.#..#..#..####..##.....#..##...###..#.#.###..#.....####...##........#.#..#####..#####.#..#.#..#.##.#..###.##.###..#####....###....##.#....###.###.#...#..#.####...###..#.#.###..#.....####...##........#.#..#####..#####.#..#.#..#.##.#..###.##.###..#####....###....##.#....###.###.#...#..#.####...###..#.#.###..#.....####...##........#.#..#####..#####.#..#.#..#.##.#..###.##.###..#####....###....##.#....###.###.#...#..#.####...###..#.#.###..#.....####...##........#.#..#####..#####.#..#.#..#.##.#..###.##.###..#####....###....##.#....###.###.#...#..#.####...###..#.#.###..#.....####...##........#.#..#####..#####.#..#.#..#.##.#..###.##.###..#####....###....##.#....###.###.#...#..#.####...###..#.#.###..#.....####...##........#.#..#####..#####.#..#.#..#.##.#..###.##.###..#####....###....
..#....####.#..##.#.##....##.###.....##..##.####.##.###.#.###.####.##.#..#.#..#..#..####.##.#..#.....##.#.....####.##.##..#....#.#.#.##...##..#..####.##.####..#.#.##...#...##.##.##....#.###...#.##...##...#####.###..#...#.#..#..#.#####.######...###.#####..#.#..#.......#.####.######..##..#...#...#..###...#..###..##..#...###.#..#..#......##..##...###...#...#.#######..##.#....###.#####..#.#..#.......#.####.######..##..#...#...#..###...#..###..##..#...###.#..#..#......##..##...###...#...#.#######..##.#....###.#####..#.#..#.......#.####.######..##..#...#...#..###...#..###..##..#...###.#..#..#......##..##...###...#...#.#######..##.#....###.#####..#.#..#.......#.####.######..##..#...#...#..###...#..###..##..#...###.#..#..#......##..##...###...#...#.#######..##.#....###.#####..#.#..#.......#.####.######..##..#...#...#..###...#..###..##..#...###.#..#..#......##..##...###...#...#.#######..##.#....###.#####..#.#..#.......#.####.######..##..#...#...#..###...#..###..##..#...###.#..#..#......##..##..
##.#.####.......#.#.#.#..#.#.###.##....#.......#...#..#.#.##..#####..##...#.#...#...#.#...##..#.##....#.###.#..#.#.###..#.###.##.##.#.#....##.##.#..##..#..##.#.#...#.....#.###......###.##....#.######....#.##........#.##.#.##.##.#.#.....#...##....#.#..#..##.##.##...#..####....#####.#...#..###..#.#.###.....#.#.##..##...####...##.##...#.##.####.##.##.#..#..###......##.##.##....#.#..#..##.##.##...#..####....#####.#...#..###..#.#.###.....#.#.##..##...####.#.##.##...#.##.####.##.##.#..#..###......##.##.##....#.#..#..##.##.##...#..####....#####.#...#..###..#.#.###.....#.#.##..##...####...##.##...#.##.####.##.##.#..#..###......##.##.##....#.#..#..##.##.##...#..####....#####.#...#..###..#.#.###.....#.#.##..##...####...##.##...#.##.####.##.##.#..#..###......##.##.##....#.#..#..##.##.##...#..####....#####.#...#..###..#.#.###.....#.#.##..##...####...##.##...#.##.####.##.##.#..#..###......##.##.##....#.#..#..##.##.##...#..####....#####.#...#..###..#.#.###.....#.#.##..##...####...##.##...#.##.####.#
#.##.....#..#..#...###..####.#.##....#.......##...#.##..#.#....#..###..###.#....#.###.######.#.##.#..#.##.#.#.###..###.##.....#####..####.#.#...#.##..####..#.#.#.###.####.#..###.#.##.###.##.##.##....####..##....#..#....#..#.#..###.....###.##..####.#.#...#.#..#.#.##.##.###...####.###...#..#...#.........##......##.###.#...#.#.##.######.##.####.#.###..##..#...##.####...###..####.#.#...#.#..#.#.##.##.###...####.###...#..#...#.........##......##.###.#...#.#.##.######.##.####.#.###..##..#...##.####...###..####.#.#...#.#..#.#.##.##.###...####.###...#..#...#.........##......##.###.#...#.#.##.######.##.####.#.###..##..#...##.####...###..####.#.#...#.#..#.#.##.##.###...####.###...#..#...#.........##......##.###.#...#.#.##.######.##.####.#.###..##..#...##.####...###..####.#.#...#.#..#.#.##.##.###...####.###...#..#...#.........##......##.###.#...#.#.##.######.##.####.#.###..##..#...##.####...###..####.#.#...#.#..#.#.##.##.###...####.###...#..#...#.........##...#..##.###.#...#.#.##.######.##.####.#
.##..#...#.######.###.####.#.###.#..#..##.#.###..#####..#..##.......#####.##.##.##...######.##....##..#.#.###.###.......####.#.##.#..##..#.#.#.##.##..#....#.####...###..#.#.##.##.#.#....#########...##.##.#..#....###..#.#...####.#....#.#.##....#.#..#.##..#####.#.####..##.#.#...#.####..###...#..#.####.#.########.##....#....##..#..#.##......#.#.####.##..#..####.####...#..#..#.#..#.##..#####.#.####..##.#.#...#.####..###...#..#.####.#.########.##....#....##..#..#.##......#.#.####.##..#..####.####...#..#..#.#..#.##..#####.#.####..##.#.#...#.####..###...#..#.####.#.########.##....#....##..#..#.##......#.#.####.##..#..####.####...#..#..#.#..#.##..#####.#.####..##.#.#...#.####..###...#..#.####.#.########.##....#....##..#..#.##......#.#.####.##..#..####.####...#..#..#.#..#.##..#####.#.####..##.#.#...#.####..###...#..#.####.#.########.##....#....##..#..#.##......#.#.####.##..#..####.####...#..#..#.#..#.##..#####.#.####..##.#.#...#.####..###...#..#.####.#.########.##....#....##..#..#.##......#.#.#
#.#...##...####..#.#.####.#.##..##.##..##..######.##..##...##.##.##.##.#.#....#.######.#.#.####.#..#.###..##..#.#..#.#.##....#......##....##.###.#.#.#...#.##.##.#..##..#.##...####.#..#........#..###.#.#..#.#..##..##..#.#.###.#.#....##.##....#.###.###.##.##.#..#.##.##.##......####.#.#####.##.#.####.#....##.......#####.#.#...##.#......#..#.##.#......#.#.##...#####..##..#.#.###.###.##.##.#..#.##.##.##......####.#.#####.##.#.####.#....##.......#####.#.#...##.#......#..#.##.#......#.#.##...#####..##..#.#.###.###.##.##.#..#.##.##.##......####.#.#####.##.#.####.#....##.......#####.#.#...##.#......#..#.##.#......#.#.##...#####..##..#.#.###.###.##.##.#..#.##.##.##......####.#.#####.##.#.####.#....##.......#####.#.#...##.#......#..#.##.#......#.#.##...#####..##..#.#.###.###.##.##.#..#.##.##.##......####.#.#####.##.#.####.#....##.......#####.#.#...##.#......#..#.##.#......#.#.##...#####..##..#.#.###.###.##.##.#..#.##.##.##......####.#.#####.##.#.####.#....##.......#####.#.#...##.#......#..#.##.#.
##...#...##.##...###.#...#####.#..#.#...#.#.#.##.#.#.#..##...##..#...#.###.##..#..###......#.#...#.#...#.#..####.######..#.#.#..##.#....###.##..#....#..##....##.#.##..##.##.##.###..#..##.#..##.######.##..#.#####.#.#####....#.#.#......##.#.#.#.#..##.#####...##.#.####..#############.##..##.#.#.#.#....#.#..###.#.......##...#####...#..#.#.##.####..#....#.#.####.....#..###..#.#..##.#####...##.#.####..#############.##..##.#.#.#.#....#.#..###.#.......##...#####...#..#.#.##.####..#....#.#.####.....#..###..#.#..##.#####...##.#.####..#############.##..##.#.#.#.#....#.#..###.#.......##...#####...#..#.#.##.####..#....#.#.####.....#..###..#.#..##.#####...##.#.####..#############.##..##.#.#.#.#....#.#..###.#.......##...#####...#..#.#.##.####..#....#.#.####.....#..###..#.#..##.#####...##.#.####..#############.##..##.#.#.#.#....#.#..###.#.......##...#####...#..#.#.##.####..#....#.#.####.....#..###..#.#..##.#####...##.#.####..#############.##..##.#.#.#.#....#.#..###.#.......##...#####...#..#.#.##.####.
....#......##.##...#..#...#.#.##.#.#.#.##..#....#.###...#.#..#..##.#.###...###.#.##.###.#####....#..#.##.#.##...##.#..##..##.#..#######...####...#..##.#..##....##.#....#.#..#..######.###.#.##..###...#.##..##..#...#####....###.#.###.##.#.#.#..###.###....###..#.##...#....#..#.#...#.#..#..###.#..##..#####.#..#..########.#....##.#.##.#...#..###...##.###..##.#.#.......###....###.###....###..#.##...#....#..#.#...#.#..#..###.#..##..#####.#..#..########.#....##.#.##.#...#..###...##.###..##.#.#.......###....###.###....###..#.##...#....#..#.#...#.#..#..###.#..##..#####.#..#..########.#....##.#.##.#...#..###...##.###..##.#.#.......###....###.###....###..#.##...#....#..#.#...#.#..#..###.#..##..#####.#..#..########.#....##.#.##.#...#..###...##.###..##.#.#.......###....###.###....###..#.##...#....#..#.#...#.#..#..###.#..##..#####.#..#..########.#....##.#.##.#...#..###...##.###..##.#.#.......###....###.###....###..#.##...#....#..#.#...#.#..#..###.#..##..#####.#..#..########.#....##.#.##.#...#..###...
.##.###.##...#..#.##.#.##.#.#####....#.####..#.#.#.#.....######...#.##.##.##.##..#...##.#.#..##.####........#...##..#.#..#..##.##.#..##.#..#......######.#.#....##..##...#..##.##.#...#.##.#.#....#..#.##.###..#....#..#.##.##.#.#.#.##..##..#.#.##.#.###.##.....#####.####..#.#..#..##..#....#..###...#.#...##..#####..#.#.#.#####.##..#..#..##..#...#.##....#...#.#..#......#...#.##.#.###.##.....#####.####..#.#..#..##..#....#..###...#.#...##..#####..#.#.#.#####.##..#..#..##..#...#.##....#...#.#..#......#...#.##.#.###.##.....#####.####..#.#..#..##..#....#..###...#.#...##..#####..#.#.#.#####.##..#..#..##..#...#.##....#...#.#..#......#...#.##.#.###.##.....#####.####..#.#..#..##..#....#..###...#.#...##..#####..#.#.#.#####.##..#..#..##..#...#.##....#...#.#..#......#...#.##.#.###.##.....#####.####..#.#..#..##..#....#..###...#.#...##..#####..#.#.#.#####.##..#..#..##..#...#.##....#...#.#..#......#...#.##.#.###.##.....#####.####..#.#..#..##..#....#..###...#.#...##..#####..#.#.#.#####.##..#..#..##..#...#.#
##...#.#.###..#.#.###.#.#...####...#.###.#.####...#.#.#.#.##.###.####.#.##....#.#.##.#...##...#.#.#.###..####...###...####....########...#..#..##.##.##.#.##.#..###.....#.#......##..#.#...#.###....#..#####.##....#...#.###.##...##..#.#.#.###..###...#...#.##.####.#..#..#..##..#####.#..##.##.##.#..###.#.##.#..###.##....##..###..#..##.....##.....###..#.#.####.##.#..##.###.#.###...#...#.##.####.#..#..#..##..#####.#..##.##.##.#..###.#.##.#..###.##....##..###..#..##.....##.....###..#.#.####.##.#..##.###.#.###...#...#.##.####.#..#..#..##..#####.#..##.##.##.#..###.#.##.#..###.##....##..###..#..##.....##.....###..#.#.####.##.#..##.###.#.###...#...#.##.####.#..#..#..##..#####.#..##.##.##.#..###.#.##.#..###.##....##..###..#..##.....##.....###..#.#.####.##.#..##.###.#.###...#...#.##.####.#..#..#..##..#####.#..##.##.##.#..###.#.##.#..###.##....##..###..#..##.....##.....###..#.#.####.##.#..##.###.#.###...#...#.##.####.#..#..#..##..#####.#..##.##.##.#..###.#.##.#..###.##....##..###..#..##.....##.....##
.##..##.#.#...####..##...###.#..#..#..#.#.##.......#.##.##.#..#..#.#.###.#....##..###..#.....#..#...##.#..#.###.####..#..#...#..####....#.#.#......#.#..#...###.#.###.##...#....##..#####.....##.##.#.#.#.#.#.#.##.#.##.#.#####.#......#.##.#.##.###..#.#.###...#.#.....#...###.##....#.#.#.#.....#.#.###.##...##..####...##......######..####..##.......#.##.....#.#.#.##..###.#.#.###..#.#.###...#.#.....#...###.##....#.#.#.#.....#.#.###.##...##..####...##......######..####..##.......#.##.....#.#.#.##..###.#.#.###..#.#.###...#.#.....#...###.##....#.###.#.....#.#.###.##...##..####...##......######..####..##.......#.##.....#.#.#.##..###.#.#.###..#.#.###...#.#.....#...###.##....#.#.#.#.....#.#.###.##...##..####...##......######..####..##.......#.##.....#.#.#.##..###.#.#.###..#.#.###...#.#.....#...###.##....#.#.#.#.....#.#.###.##...##..####...##......######..####..##.......#.##.....#.#.#.##..###.#.#.###..#.#.###...#.#.....#...###.##....#.#.#.#.....#.#.###.##...##..####...##......######..####..##.......
..##..##.#.#.#...##..#.##......#.##.#..##.#.##.##...##.#.##...##...##...##.#####.#.########.###.....###..#...####...###.#....##.#...#..#......##..#..#.##....##.###.#..#..##.#.###...##.#####.#.##..##..#.###....#.##..##...##.###.##.#........###.#..#.##.#..#.#..##.##.#...#..#...#...#.#..##....##.#....###..#.####.##..##.#.##..#######.##.####..#.#######...##..#...#.#..#.##..#.#..#.##.#..#.#..##.##.#...#..#...#...#.#..##....##.#....###..#.####.##..##.#.##..#######.##.####..#.#######...##..#...#.#..#.##..#.#..#.##.#..#.#..##.##.#...#..#...#...#.#..##....##.#....###..#.####.##..##.#.##..#######.##.####..#.#######...##..#...#.#..#.##..#.#..#.##.#..#.#..##.##.#...#..#...#...#.#..##....##.#....###..#.####.##..##.#.##..#######.##.####..#.#######...##..#...#.#..#.##..#.#..#.##.#..#.#..##.##.#...#..#...#...#.#..##....##.#....###..#.####.##..##.#.##..#######.##.####..#.#######...##..#...#.#..#.##..#.#..#.##.#..#.#..##.##.#...#..#...#...#.#..##....##.#....###..#.####.##..##.#.##..#######.##.####..#.##
#....##.###..#.##.....####.###..#.#.#..#...#..##.##.#.##.##.####.#.#..#..###....#.#####.#..#...##.#.###...#.##.###..#..##..##.#.#.#.##.###..####.###..##.#.##.#.#.##.###..##..#######.#....#....#..#.######...##...#####.#..#.###...##.#.#..#.##..#.####.##.###.#..####.##.######..#...###.##.#.#..###.#.............#..#.###.#.###..#..#...#..#...###....#.#..##..#..##.#..##..####.#.####.##.###.#..####.##.######..#...###.##.#.#..###.#.............#..#.###.#.###..#..#...#..#...###....#.#..##..#..##.#..##..####.#.####.##.###.#..####.##.######..#...###.##.#.#..###.#.............#..#.###.#.###..#..#...#..#...###....#.#..##..#..##.#..##..####.#.####.##.###.#..####.##.######..#...###.##.#.#..###.#.............#..#.###.#.###..#..#...#..#...###....#.#..##..#..##.#..##..####.#.####.##.###.#..####.##.######..#...###.##.#.#..###.#.............#..#.###.#.###..#..#...#..#...###....#.#..##..#..##.#..##..####.#.####.##.###.#..####.##.######..#...###.##.#.#..###.#.............#..#.###.#.###..#..#...#..#...###...
.##....######.#..##.#..#...#..#....##.##.##.###...#..#...###.#.##.#..##.#.......###.###..#..#..###....##.#.#..####.....#..#.#.###.###...#......###..#####.#######...#...#..#.#.#..#..####...######..#.##...#.####.#..#####.#..#.#...##.##.#..#.#...##....#.....##..#.#.##.....###.#..#####.#.##.##.###..#..#.##....##....#..#.#.#........####..#.##.#..#..#.###.##.##..#...###.#..#...##....#.....##..#.#.##.....###.#..#####.#.##.##.###..#..#.##....##....#..#.#.#........####..#.##.#..#..#.###.##.##..#...###.#..#...##....#.....##..#.#.##.....###.#..#####.#.##.##.###..#..#.##....##....#..#.#.#........####..#.##.#..#..#.###.##.##..#...###.#..#...##....#.....##..#.#.##.....###.#..#####.#.##.##.###..#..#.##....##....#..#.#.#........####..#.##.#..#..#.###.##.##..#...###.#..#...##....#.....##..#.#.##.....###.#..#####.#.##.##.###..#..#.##....##....#..#.#.#........####..#.##.#..#..#.###.##.##..#...###.#..#...##....#.....##..#.#.##.....###.#..#####.#.##.##.###..#..#.##....##....#..#.#.#........####..#.##.#..#.
..#..#.#.#.##.#...#......#####...##....#..###..#...##.##..###..#.#.#.#.#.#...#.#.####.#.####..####..##.......#.##..###.####.#...#....#..#####.###...#.##.####..#.##...#.#.##..#....##.#....#.##.###.#.#.#####.#.###.##..#..#####.#.#...###..####...##..#.##.#.....#####.#..#.........##.#.##...###.#.###..#..##.#####..##.##..#..#..##.##.#.###..#..#.#.############...####..#.#.##...##..#.##.#.....#####.#..#.........##.#.##...###.#.###..#..##.#####..##.##..#..#..##.##.#.###..#..#.#.############...####..#.#.##...##..#.##.#.....#####.#..#.........##.#.##...###.#.###..#..##.#####..##.##..#..#..##.##.#.###..#..#.#.############...####..#.#.##...##..#.##.#.....#####.#..#.........##.#.##...###.#.###..#..##.#####..##.##..#..#..##.##.#.###..#..#.#.############...####..#.#.##...##..#.##.#.....#####.#..#.........##.#.##...###.#.###..#..##.#####..##.##..#..#..##.##.#.###..#..#.#.############...####..#.#.##...##..#.##.#.....#####.#..#.........##.#.##...###.#.###..#..##.#####..##.##..#..#..##.##.#.###..#..#.#.#
##..##..#####..##..#.##.##.##.#....#....##.#.#..####.#.##.##.#...##.....###...#.##..#.#..#.#..######.#.#.##.#..#####.##.#..###.#..#..#...#..##.####..##.##...#######..#...#.##..###..#.#.#.####..#....##.#..#....#..#...#.#..#..##.#...###......##.####..#.##...########....##.#..#...#.#.#......#.###.#.##...#...#####.####...#.##.#..#..##.######...#....#.#.##.##..#.#...#.....#.#.####..#.##...########....##.#..#...#.#.#......#.###.#.##...#...#####.####...#.##.#..#..##.######...#....#.#.##.##..#.#...#.....#.#.####..#.##...########....##.#..#...#.#.#......#.###.#.##...#...#####.####...#.##.#..#..##.######...#....#.#.##.##..#.#...#.....#.#.####..#.##...########....##.#..#...#.#.#......#.###.#.##...#...#####.####...#.##.#..#..##.######...#....#.#.##.##..#.#...#.....#.#.####..#.##...########....##.#..#...#.#.#......#.###.#.##...#...#####.####...#.##.#..#..##.######...#....#.#.##.##..#.#...#.....#.#.####..#.##...########....##.#..#...#.#.#......#.###.#.##...#...#####.####...#.##.#..#..##.######...#..
###.#..##...#..###...#.##....#...###.#.#.#..##..####.#.#####.#....#..#.#.#..#.#.....#.###...#.##..####...###....#..##....###.#####.##.#.####.##....#..#.#...##.####......####.###.....#..#..#....##.##.....##....#.#.###.##.##.....#.#..###.##.###.###..##..#...#..#......##...#.#####...####.####.#..#...#..##.###.##.###..###...##..##...###.....#..#####....#.#..#.#...#....######.###..##..#...#..#......##...#.#####...####.####.#..#...#..##.###.##.###..###...##..##...###.....#..#####....#.#..#.#...#....######.###..##..#...#..#......##...#.#####...####.####.#..#...#..##.###.##.###..###...##..##...###.....#..#####....#.#..#.#...#....######.###..##..#...#..#......##...#.#####...####.####.#..#...#..##.###.##.###..###...##..##...###.....#..#####....#.#..#.#...#....######.###..##..#...#..#......##...#.#####...####.####.#..#...#..##.###.##.###..###...##..##...###.....#..#####....#.#..#.#...#....######.###..##..#...#..#......##...#.#####...####.####.#..#...#..##.###.##.###..###...##..##...###.....#..###
..##.#.....#..#...#..#.#.#....##.#...#.#.##.#...#..#....#.##....###.####.#.....###.#...#..##.#.#..#..#.##.#.#....#..#....##.#.#.#....#......#...##.#.##..###.#.##.####.#.#.#.##........##.#.##.####...#.##..#######..#####.#....##.....#........#.##...#..##..##.#.#.#.##.#......######.###..###..##.#.###.#.###......#..#.#..###..##...##.#.#####..#.#######.#..####.#...####..#..#.##...#..##..##.#.#.#.##.#......######.###..###..##.#.###.#.###......#..#.#..###..##...##.#.#####..#.#######.#..####.#...####..#..#.##...#..##..##.#.#.#.##.#......######.###..###..##.#.###.#.###......#..#.#..###..##...##.#.#####..#.#######.#..####.#...####..#..#.##...#..##..##.#.#.#.##.#......######.###..###..##.#.###.#.###......#..#.#..###..##...##.#.#####..#.#######.#..####.#...####..#..#.##...#..##..##.#.#.#.##.#......######.###..###..##.#.###.#.###......#..#.#..###..##...##.#.#####..#.#######.#..####.#...####..#..#.##...#..##..##.#.#.#.##.#......######.###..###..##.#.###.#.###......#..#.#..###..##...##.#.#####..#.###
###...###...#...##.###..#..#.#.###..##..#.###.#..#..#.#.#####...#.###.#######..#.#.#..###..######.....#.#.##..##.....##..##..#..##..##..#.#####..######.#..#.#.......###..#..#.#######.####.###.#.####..####..#...#.#.####.###.##.###.#.#.#.#.#..####..#..##.#.#.#.#.###...##..##.##...#.#.########.##.....#.#.###.#.#.####.....##.###.##.##.#.#.#..#...#.###.####......#.##...#..######..#..##.#.#.#.#.###...##..##.##...#.#.########.##.....#.#.###.#.#.####.....##.###.##.##.#.#.#..#...#.###.####......#.##...#..######..#..##.#.#.#.#.###...##..##.##...#.#.########.##.....#.#.###.#.#.####.....##.###.##.##.#.#.#..#...#.###.####......#.##...#..######..#..##.#.#.#.#.###...##..##.##...#.#.########.##.....#.#.###.#.#.####.....##.###.##.##.#.#.#..#...#.###.####......#.##...#..######..#..##.#.#.#.#.###...##..##.##...#.#.########.##.....#.#.###.#.#.####.....##.###.##.##.#.#.#..#...#.###.####......#.##...#..######..#..##.#.#.#.#.###...##..##.##...#.#.########.##.....#.#.###.#.#.####.....##.###.##.##.#.#.#..#...#
####.#.#.##....#..#.###..#..##.......#......###.#..######.#.#..##..#..#...###.....##.##..#..#..#.#.##.##..##.#.####..#...##.##.....##..##.####......#..#.#....#.#.##...#..#...#..##..#.......###..#.##......#......#.#####....#...#######...##.##.###.#.#.#..#.#.###...##..#.##..##.#..###.##...#.#####..#..#.#..####....#....#######..#.######...##.#.#...#....#..##.##..###...#....###.#.#.#..#.#.###...##..#.##..##.#..###.##...#.#####..#..#.#..####....#....#######..#.######...##.#.#...#....#..##.##..###...#....###.#.#.#..#.#.###...##..#.##..##.#..###.##...#.#####..#..#.#..####....#....#######..#.######...##.#.#...#....#..##.##..###...#....###.#.#.#..#.#.###...##..#.##..##.#..###.##...#.#####..#..#.#..####....#....#######..#.######...##.#.#...#....#..##.##..###...#....###.#.#.#..#.#.###...##..#.##..##.#..###.##...#.#####..#..#.#..####....#....#######..#.######...##.#.#...#....#..##.##..###...#....###.#.#.#..#.#.###...##..#.##..##.#..###.##...#.#####..#..#.#..####....#....#######..#.######...##.#.#.
.#.....##..#.#...#.##.....#####..##.###.#.#.#..####.###.##.#####...##..#.#...##.#.#...##..#.##.##.####..##.#...#.#...##.#....#...###.#......#.#.#.##.#.##.####.#.#..###..##.##.##.....######.##.#....#..#.####..#..###.#.#.##..#.#####..#.##.#....##..####.##.###....#..##.##..#...#.#...#.....##.####...#..###.#.......#.#.#.##.#..##...#....#..###.#.###...#.##..#.###...###.#.#.#.##..####.##.###....#..##.##..#...#.#...#.....##.####...#..###.#.......#.#.#.##.#..##...#....#..###.#.###...#.##..#.###...###.#.#.#.##..####.##.###....#..##.##..#...#.#...#.....##.####...#..###.#.......#.#.#.##.#..##...#....#..###.#.###...#.##..#.###...###.#.#.#.##..####.##.###....#..##.##..#...#.#...#.....##.####...#..###.#.......#.#.#.##.#..##...#....#..###.#.###...#.##..#.###...###.#.#.#.##..####.##.###....#..##.##..#...#.#...#.....##.####...#..###.#.......#.#.#.##.#..##...#....#..###.#.###...#.##..#.###...###.#.#.#.##..####.##.###....#..##.##..#...#.#...#.....##.####...#..###.#.......#.#.#.##.#..##...#....#..###.#.##
####.#....####...###..###...#.##.#.#....#.#.####.#....#.##.#..##...#.#####.##...######.....###.#..###.....#######.##.....#.#..#.###.##..#.########..#...#.##..#.#.....#...##.###..#.###...#####.#...#####.#.#....##.####.##.###..###.#..##.#.###..#####....#.##.#.###.#.....######..#.#.##.####.#.##..##..#..#..####.##..#.##..##...##.#.#####.###..#.#.#######...#..######.#.....#..#####....#.##.#.###.#.....######..#.#.##.####.#.##..##..#..#..####.##..#.##..##...##.#.#####.###..#.#.#######...#..######.#.....#..#####....#.##.#.###.#.....######..#.#.##.####.#.##..##..#..#..####.##..#.##..##...##.#.#####.###..#.#.#######...#..######.#.....#..#####....#.##.#.###.#.....######..#.#.##.####.#.##..##..#..#..####.##..#.##..##...##.#.#####.###..#.#.#######...#..######.#.....#..#####....#.##.#.###.#.....######..#.#.##.####.#.##..##..#..#..####.##..#.##..##...##.#.#####.###..#.#.#######...#..######.#.....#..#####....#.##.#.###.#.....######..#.#.##.####.#.##..##..#..#..####.##..#.##..##...##.#.#####.###..#.#.#
##.#####..#.##...#.##.#####.....#######.#..#.#.##..##.#...#....###..#...#.....##.###.####..#...#.#.##..##.###..###.###...##############..#.#..##.#...#...##.#.##.#..##..#...#.#.#..####.#.##.##....#..##.##.#..#.#.##..#..###.#..##...##.##..#.....#...#....##.#.###...##..##...#...#.#.###...#..#...#..#.#..#.#....##.#..##.#.##..#.##.##..#.##.#..#....####.###...###.##.#.#.##.....#...#....##.#.###...##..##...#...#.#.###...#..#...#..#.#..#.#....##.#..##.#.##..#.##.##..#.##.#..#....####.###...###.##.#.#.##.....#...#....##.#.###...##..##...#...#.#.###...#..#...#..#.#..#.#....##.#..##.#.##..#.##.##..#.##.#..#....####.###...###.##.#.#.##.....#...#....####.###...##..##...#...#.#.###...#..#...#..#.#..#.#....##.#..##.#.##..#.##.##..#.##.#..#....####.###...###.##.#.#.##.....#...#....##.#.###...##..##...#...#.#.###...#..#...#..#.#..#.#....##.#..##.#.##..#.##.##..#.##.#..#....####.###...###.##.#.#.##.....#...#....##.#.###...##..##...#...#.#.###...#..#...#..#.#..#.#....##.#..##.#.##..#.##.##..#.##.#..#....
.###..####.....#..####......#.###.####..#.#.#.#.#......#.#..##.#..#.####....##.##..##.#.###...##...###..#.####.##..###.#.#..#.########..#.#....#..##.#.#......###...#...#.#.#..##..#..#.#..#####...#..#..#.###...........##....#..#...##...####..#..#..###..##..##.##...#....###.#.#.###..###...#..#..#.###.##..#####...#.#.##..####.#.#.......#...###.######....##.##..#.##...####.#..#..###..##..##.##...#....###.#.#.###..###...#..#..#.###.##..#####...#.#.##..####.#.#.......#...###.######....##.##..#.##...####.#..#..###..##..##.##...#....###.#.#.###..###...#..#..#.###.##..#####...#.#.##..####.#.#.......#...###.######....##.##..#.##...####.#..#..###..##..##.##...#....###.#.#.###..###...#..#..#.###.##..#####...#.#.##..####.#.#.......#...###.######....##.##..#.##...####.#..#..###..##..##.##...#....###.#.#.###..###...#..#..#.###.##..#####...#.#.##..####.#.#.......#...###.######....##.##..#.##...####.#..#..###..##..##.##...#....###.#.#.###..###...#..#..#.###.##..#####...#.#.##..####.#.#.......#...###.##
#.###.####..##...##.##.....####.##....##.##.#.#.####.##.##..#..#####...#.#..#.#.#.####..###.....#..#####.#####.......#..##..#..#..#.#.#...##..##..###.#....####..#..#..##.####.#.#.##..#.#.#.#.#..##..##.##..###..###.#..#.#.##.#########.....#.#.#.....#...##.##.....##..##.####..#...##..#.###.##.#..#......#####..#..#..#....##.....###.##.##..#.###.#.#.#.##....##.....#.##.#....#.....#...##.##.....##..##.####..#...##..#.###.##.#..#......#####..#..#..#....##.....###.##.##..#.###.#.#.#.##....##.....#.##.#....#.....#...##.##.....##..##.####..#...##..#.###.##.#..#......#####..#..#..#....##.....###.##.##..#.###.#.#.#.##....##.....#.##.#....#.....#...##.##.....##..##.####..#...##..#.###.##.#..#.#....#####..#..#..#....##.....###.##.##..#.###.#.#.#.##....##.....#.##.#....#.....#...##.##.....##..##.####..#...##..#.###.##.#..#......#####..#..#..#....##.....###.##.##..#.###.#.#.#.##....##.....#.##.#....#.....#...##.##.....##..##.####..#...##..#.###.##.#..#......#####..#..#..#....##.....###.##.##..#.###.#
.#.##...##...##.#.#....###.#.#####.##..#..#.####...##.#.#.#.##.#.#..#.#..#.##.#..##.##....#.##.#....##..#.##.#.#######..#..#...###.###..#.#.##...#......#####...#.##....#....###.#....##.##########.....#.#.#.##..#.#.#.###...###.#..###..##.###..####..##..#...#...#####..#...####.###......##..#.#....##...#.#...#..##.##.########....#..###..##....#####.#..###...###.#.#..#.##.#.####..##..#...#...#####..#...####.###......##..#.#....##...#.#...#..##.##.########....#..###..##....#####.#..###...###.#.#..#.##.#.####..##..#...#...#####..#...####.###......##..#.#....##...#.#...#..##.##.########....#..###..##....#####.#..###...###.#.#..#.##.#.####..##..#...#...#####..#...####.###......##..#.#....##...#.#...#..##.##.########....#..###..##....#####.#..###...###.#.#..#.##.#.####..##..#...#...#####..#...####.###......##..#.#....##...#.#...#..##.##.########....#..###..##....#####.#..###...###.#.#..#.##.#.####..##..#...#...#####..#...####.###......##..#.#....##...#.#...#..##.##.########....#..###..##....###
###.#.##.#.##..##..####.####..#.#..###.#...###...####.##..##.####.##.####..###.#..##.###........###..#..#.#####.#..######.#.#.#.##.##.####.#...#...###..#.#.....#.#.#####..#...##..###.###.##.#..##.##.#.#.##...##...##.....#..#..##..##...#.######.#.#....#..#....###..##...###.##.#..##.#.##.#.##.#..#.#.#.#.#..##..####.#.##.##.#..###.....##.#.#...#..#.####.#####..###.##..##..##.#.#....#..#....###..##...###.##.#..##.#.##.#.##.#..#.#.#.#.#..##..####.#.##.##.#..###.....##.#.#...#..#.####.#####..###.##..##..##.#.#....#..#....###..##...###.##.#..##.#.##.#.##.#..#.#.#.#.#..##..####.#.##.##.#..###.....##.#.#...#..#.####.#####..###.##..##..##.#.#....#..#....###..##...###.##.#..##.#.##.#.##.#..#.#.#.#.#..##..####.#.##.##.#..###.....##.#.#...#..#.####.#####..###.##..##..##.#.#....#..#....###..##...###.##.#..##.#.##.#.##.#..#.#.#.#.#..##..####.#.##.##.#..###.....##.#.#...#..#.####.#####..###.##..##..##.#.#....#..#....###..##...###.##.#..##.#.##.#.##.#..#.#.#.#.#..##..####.#.##.##.#..###.....##.#.#...#.
.#..##.#..#........#.#....##.#..##....##.##.#####.#.##....###.######..#.####.#.#..#.#.#..###..#.#..#.#.#.....#.#.#####...##.##..###..##..##..##...#...#.#..##.####..#.#..#.#.#.#.####...##........##.####.##..##...#.#.####..#.##.#.#.#####.####..##.##.#...######.######..#..#####.....#.......####...##..#..#.###...#.##.#.#####....#.#.##.#.#.....###..#..#.....#.##.###.#.##.###.##.##.#...######.######..#..#####.....#.......####...##..#..#.###...#.##.#.#####....#.#.##.#.#.....###..#..#.....#.##.###.#.##.###.##.##.#...######.######..#..#####.....#.......####...##..#..#.###...#.##.#.#####....#.#.##.#.#.....###..#..#.....#.##.###.#.##.###.##.##.#...######.######..#..#####.....#.......####...##..#..#.###...#.##.#.#####....#.#.##.#.#.....###..#..#.....#.##.###.#.##.###.##.##.#...######.######..#..#####.....#.......####...##..#..#.###...#.##.#.#####....#.#.##.#.#.....###..#..#.....#.##.###.#.##.###.##.##.#...######.######..#..#####.....#.......####...##..#..#.###...#.##.#.#####....#.#.##.#.#.....###.
####.###..#..#..####.###..###.#.###.##.#.#.#..#...#.#..#.#######.......###..#..####.####.###..##.######...##..##.#.#####..##.#.###.#####.##..##.....##.##......#.#..#####..#.#.##.#...##.#..##.##.#.#....##......#.####.##.#..###.#....##..#.####.###.###.#.#..#..########..##....#..##..#.#..##....##.#..##....#.#.#..#.#....#.##...##..###.#.##...#....#..###.###..#.#.###....###..###.###.#.#..#..########..##....#..##..#.#..##....##.#..##....#.#.#..#.#....#.##...##..###.#.##...#....#..###.###..#.#.###....###..###.###.#.#..#..########..##....#..##..#.#..##....##.#..##....#.#.#..#.#....#.##...##..###.#.##...#....#..###.###..#.#.###....###..###.###.#.#..#..########..##....#..##..#.#..##....##.#..##....#.#.#..#.#....#.##...##..###.#.##...#....#..###.###..#.#.###....###..###.###.#.#..#..########..##....#..##..#.#..##....##.#..##....#.#.#..#.#....#.##...##..###.#.##...#....#..###.###..#.#.###....###..###.###.#.#..#..########..##....#..##..#.#..##....##.#..##....#.#.#..#.#....#.##...##..###.#.##...#....
#..#.#.#.#.####..###.##.#.......######.#....###..#..#.#.#.###.##.##..#..#....#.#####..##.#..#..##..######..###.##.#.###.....####..#.#.##..###..##...#.####..#.##..##.#.###.#..#.####......###..#..######....#..##.#.####...#..#..##.....#..#.##.#.##...##...#..#.##..#.#...#.##..#..####...#####...#.##....#..#...###.#...#.#.###.#.##...#..####..#.#.##.#.##....###.#...##..##.####.##...##...#..#.##..#.#...#.##..#..####...#####...#.##....#..#...###.#...#.#.###.#.##...#..####..#.#.##.#.##....###.#...##..##.####.##...##...#..#.##..#.#...#.##..#..####...#####...#.##....#..#...###.#...#.#.###.#.##...#..####..#.#.##.#.##....###.#...##..##.####.##...##...#..#.##..#.#...#.##..#..####...#####...#.##....#..#...###.#...#.#.###.#.##...#..####..#.#.##.#.##....###.#...##..##.####.##...##...#..#.##..#.#...#.##..#..####...#####...#.##....#..#...###.#...#.#.###.#.##...#..####..#.#.##.#.##....###.#...##..##.####.##...##...#..#.##..#.#...#.##..#..####...#####...#.##....#..#...###.#...#.#.###.#.##...#..####..#.#.##.
..###.#..#..#..##..#...###.##..#..#.....#....#.#..##.###.###...####.......#...##.....#.....#.#####..#####.###..##.......##.#..#....#####.#.##..##...####..##.#...#.##.#......#.#.#.####..#.#...##.#..##.###.#..#.###..###..###.....#.##.#.#..####.....#.#..##.#...###.####...#....#.....#..#.#...#.#...#..###.#.#.#..###.#######.#####...##.#..#.....#.###..##.#..##.#...##...#.####.....#.#..##.#...###.####...#....#.....#..#.#...#.#...#..###.#.#.#..###.#######.#####...##.#..#.....#.###..##.#..##.#...##...#.####.....#.#..##.#...###.####...#....#.....#..#.#...#.#...#..###.#.#.#..###.#######.#####...##.#..#.....#.###..##.#..##.#...##...#.####.....#.#..##.#...###.####...#....#.....#..#.#...#.#...#..###.#.#.#..###.#######.#####...##.#..#.....#.###..##.#..##.#...##...#.####.....#.#..##.#...###.####...#....#.....#..#.#...#.#...#..###.#.#.#..###.#######.#####...##.#..#.....#.###..##.#..##.#...##...#.####.....#.#..##.#...###.####...#....#.....#..#.#...#.#...#..###.#.#.#..###.#######.#####...##.#..#.....#.##
#.##.#.##...#.#.##.#.#.##..#..#.#.####.#.####.#.#..#.##.###.##.#......###..#.#######.##.#..#..#####.........##..#.#.####..#.#..###..#..##.###...#.#...#..###...######.##.##.##.#.#.#..####...##.#####....#.#..##.#.#.######.##....#.#.####....#.############.#.#..###.##.###..###.....##.###..##..###..###....#.######.##.###.#..##..###.#..##..#.#..#..#..#....#.#.###...##.#.###.############.#.#..###.##.###..###.....##.###..##..###..###....#.######.##.###.#..##..###.#..##..#.#..#..#..#....#.#.###...##.#.###.############.#.#..###.##.###..###.....##.###..##..###..###....#.######.##.###.#..##..###.#..##..#.#..#..#..#....#.#.###...##.#.###.############.#.#..###.##.###..###.....##.###..##..###..###....#.######.##.###.#..##..###.#..##..#.#..#..#..#....#.#.###...##.#.###.############.#.#..###.##.###..###.....##.###..##..###..###....#.######.##.###.#..##..###.#..##..#.#..#..#..#....#.#.###...##.#.###.############.#.#..###.##.###..###.....##.###..##..###..###....#.######.##.###.#..##..###.#..##..#.#..#..#
##.##......##..##..#.....#...#.###.#.##.###.##.#....##.##.#....#.#..#.#.####...#.##..#.#.#.##.#..##.####..#...######.##.##.###..##.#.#..###.#..#....####.#..##.###.#...##.#..#.##.#.####.##..###.###.#...########...##..##...#.##..#.#######.#..#..#..###..#.#.###.###.###.###...#.#.#..#.##.....##.##.#.####.#....#.##.....#..##....#..#.##.#######..#.#######..#.....##.###.#.####..#..###..#.#.###.###.###.###...#.#.#..#.##.....##.##.#.####.#....#.##.....#..##....#..#.##.#######..#.#######..#.....##.###.#.####..#..###..#.#.###.###.###.###...#.#.#..#.##.....##.##.#.####.#....#.##.....#..##....#..#.##.#######..#.#######..#.....##.###.#.####..#..###..#.#.###.###.###.###...#.#.#..#.##.....##.##.#.####.#....#.##.....#..##....#..####.#######..#.#######..#.....##.###.#.####..#..###..#.#.###.###.###.###...#.#.#..#.##.....##.##.#.####.#....#.##.....#..##....#..#.##.#######..#.#######..#.....##.###.#.####..#..###..#.#.###.###.###.###...#.#.#..#.##.....##.##.#.####.#....#.##.....#..##....#..#.##.#######..#.#
.##..#.#.##..#.....####...####.#...#####.#####.#......#..#.#####.#.##.##..#...#.##.#..#........#.#..###.#.#..#.....##.#..#.#.......#..#.#.#..##.##.#.#.##.....#..####.....#...####...#.#....#######.##..#..##.#.#.#..###.##......#.##..#####..##.##.#######.###.#..##.#.###.##..####...#.##.#..##.#...#.####.#.##.#.#.#..##.#..#...#.####.#.#.##.#..#.####..#.#..#...##..#.#..#.##.###.#######.###.#..##.#.###.##..####...#.##.#..##.#...#.####.#.##.#.#.#..##.#..#...#.####.#.#.##.#..#.####..#.#..#...##..#.#..#.##.###.#######.###.#..##.#.###.##..####...#.##.#..##.#...#.####.#.##.#.#.#..##.#..#...#.####.#.#.##.#..#.####..#.#..#...##..#.#..#.##.###.#######.###.#..##.#.###.##..####...#.##.#..##.#...#.####.#.##.#.#.#..##.#..#...#.####.#.#.##.#..#.####..#.#..#...##..#.#..#.##.###.#######.###.#..##.#.###.##..####...#.##.#..##.#...#.####.#.##.#.#.#..##.#..#...#.####.#.#.##.#..#.####..#.#..#...##..#.#..#.##.###.#######.###.#..##.#.###.##..####...#.##.#..##.#...#.####.#.##.#.#.#..##.#..#...#.####.#.#.##.#..#.###
...#.#..##......#.###.####......#..##...#.##.##..#.#..###.......#...#..##...######.##.#..####.#..###....#.####.#.#.#....#.#....#.....###.##..#.##.##.#.##.##..#.#..########.##.#####.#.##.##.###.##.#......#...#..#..#.####.###..##.....#....####.#.#..###.....##.#..#.#.##.###.#.##...###...##.....#####...##..#.#.#.##.....##...#..#.#.#.#.#....#....#.###..###..#..####.#.#.......#.#..###.....##.#..#.#.##.###.#.##...###...##.....#####...##..#.#.#.##.....##...#..#.#.#.#.#....#....#.###..###..#..####.#.#.......#.#..###.....##.#..#.#.##.###.#.##...###...##.....#####...##..#.#.#.##.....##...#..#.#.#.#.#....#....#.###..###..#..####.#.#.......#.#..###.....##.#..#.#.##.###.#.##...###...##.....#####...##..#.#.#.##.....##...#..#.#.#.#.#....#....#.###..###..#..####.#.#.......#.#..###.....##.#..#.#.##.###.#.##...###...##.....#####...##..#.#.#.##.....##...#..#.#.#.#.#....#....#.###..###..#..####.#.#.......#.#..###.....##.#..#.#.##.###.#.##...###...##.....#####...##..#.#.#.##.....##...#..#.#.#.#.#....#....#.
#.#.##.###..#.#..#.....###..#####....####.##.##.#.##..####.#.##.##.#.#..##.......###.##.##...#.###.##.#....#....#.#..#.....##.###..####.#...#.........#....##.#..#.###.##.#.#.#..#..#..#.#..###...##......#..#..#.####......###...####.#.##...##..##.#.#......#..##...###.#...##.......#.##.###.#.###.##.##..#..######..##.##.#.#.#####.#.#.##...#.####.####...##.#.#....###....####.##.#.#......#..##...###.#...##.......#.##.###.#.###.##.##..#..######..##.##.#.#.#####.#.#.##...#.####.####...##.#.#....###....####.##.#.#......#..##...###.#...##.......#.##.###.#.###.##.##..#..######..##.##.#.#.#####.#.#.##...#.####.####...##.#.#....###....####.##.#.#......#..##...###.#...##.......#.##.###.#.###.##.##..#..######..##.##.#.#.#####.#.#.##...#.####.####...##.#.#....###....####.##.#.#......#..##...###.#...##.......#.##.###.#.###.##.##..#..######..##.##.#.#.#####.#.#.##...#.####.####...##.#.#....###....####.##.#.#......#..##...###.#...##.......#.##.###.#.###.##.##..#..######..##.##.#.#.#####.#.#.##...#.####.#
..#####.#.#...#.##...#...##...#.#...###.##.####.#.##.#.###...#..#..##.#.##...#.#.##.###..#.#....#.#.#####..#.#..##.####..####..#.####.##..#.#.#....##.####..####...#.##...##...##....##..#####.##.#.#.##.#.#.....######.##..#..#.#####.###.#.#..#.##....######.#.#.##..#..#.####..##.#..#####..#.######..###.#.#..##...#.##.#...##########.....#..#..##.#.####..#...####..#####..##..##....######.#.#.##..#..#.####..##.#..#####..#.######..###.#.#..##...#.##.#...##########.....#..#..##.#.####..#...####..#####..##..##....######.#.#.##..#..#.####..##.#..#####..#.######..###.#.#..##...#.##.#...##########.....#..#..##.#.####..#...####..#####..##..##....######.#.#.##..#..#.####..##.#..#####..#.######..###.#.#..##...#.##.#...##########.....#..#..##.#.####..#...####..#####..##..##....######.#.#.##..#..#.####..##.#..#####..#.######..###.#.#..##...#.##.#...##########.....#..#..##.#.####..#...####..#####..##..##....######.#.#.##..#..#.####..##.#..#####..#.######..###.#.#..##...#.##.#...##########.....#..#..##.#
.#######.##.#.#...#.....#..##..##.....#.#...#..##.#..###....#####.##..###...#.##.#..##.##.#.#..###.###..#.###.#.#######.#.##..#####..##.#..#...###..###.#.#..##......####.......###...#.##.#.#....#.#..#.######.###.....#.##..#.#####.#.#..#.#...#.#.#####....###.###.####.#.#.#...##..##.##.....#..#.##....##.########.###.##.###..##...#.#####..#.#..###..#........####.#####.#####.#.#####....###.###.####.#.#.#...##..##.##.....#..#.##....##.########.###.##.###..##...#.#####..#.#..###..#........####.#####.#####.#.#####....###.###.####.#.#.#...##..##.##.....#..#.##....##.########.###.##.###..##...#.#####..#.#..###..#........####.#####.#####.#.#####....###.###.####.#.#.#...##..##.##.....#..#.##....##.########.###.##.###..##...#.#####..#.#..###..#........####.#####.#####.#.#####....###.###.####.#.#.#...##..##.##.....#..#.##....##.########.###.##.###..##...#.#####..#.#..###..#........####.#####.#####.#.#####....###.###.####.#.#.#...##..##.##.....#..#.##....##.########.###.##.###..##...#.#####..#.#..##
##.#....#.###....#.#..###.#...##.##.##.###.#.#...######.#..##.###.#######.#.#.#.#...##......###...##...#.#....#.#.#..#..#.#..#.##.......#.#....##.##.##.##.#.#.#.####.#.#.######...#...##.#.#######...##.##..##...#####.##....#..#..####.#...#.##.#####..#.##.#.......#..#.###.#.##...#.#....##..#.#..##..##.#......#...#.##....######.##...#.#...###...#.####.###..#####..##........#####..#.##.#.......#..#.###.#.##...#.#....##..#.#..##..##.#......#...#.##....######.##...#.#...###...#.####.###..#####..##........#####..#.##.#.......#..#.###.#.##...#.#....##..#.#..##..##.#......#...#.##....######.##...#.#...###...#.####.###..#####..##........#####..#.##.#.......#..#.###.#.##...#.#....##..#.#..##..##.#......#...#.##....######.##...#.#...###...#.####.###..#####..##........#####..#.##.#.......#..#.###.#.##...#.#....##..#.#..##..##.#......#...#.##....######.##...#.#...###...#.####.###..#####..##........#####..#.##.#.......#..#.###.#.##...###....##..#.#..##..##.#......#...#.##....######.##...#.#...###...#
##.##.##.####.#.......#.####.#.#..###.######....#.#.###.#.##.#.###..###..#.###..#####...#.##.#...##.##.###..####.##...###..##..##.##.####...####.#.##.#.####..#.#..#..####..##.##.#.....##.#.......##.#.#..#.....##.##...#..#.##..#.#..#.###..#.#.....##....##..........####.#..#....##..###..####..#.######..#...###..##.#..######..####...####.###.#..#.#.##.#######.#..#..#..#..#.....##....##..........####.#..#....##..###..####..#.######..#...###..##.#..######..####...####.###.#..#.#.##.#######.#..#..#..#..#.....##....##..........####.#..#....##..###..####..#.######..#...###..##.#..######..####...####.###.#..#.#.##.#######.#..#..#..#..#.....##....##..........####.#..#....##..###..####..#.######..#...###..##.#..######..####...####.###.#..#.#.##.#######.#..#..#..#..#.....##....##..........####.#..#....##..###..####..#.######..#...###..##.#..######..####...####.###.#..#.#.##.#######.#..#..#..#..#.....##....##..........####.#..#....##..###..####..#.######..#...###..##.#..######..####...####.###.#..#
.....##.#.#.##....#.#.#####..###....##.##..#......###...###..####..#.#....#.##..#...#.....#.#####.#..#.#.#..####.###.##.#########...##.######..#..##..#...###.#.#.#....#.##########.#.#..####.#.##.#.###...##..###.##.##.#.......#..#####..#..#...#.#...#..#..##..##..#.##..#...#..#.....#.##..####...#.#....#.#.#.#.#....#.#..####..#.....#..####...#####.#...#....#..######.#.#.##.#.#...#..#..##..##..#.##..#...#..#.....#.##..####...#.#....#.#.#.#.#....#.#..####..#.....#..####...#####.#...#....#..######.#.#.##.#.#...#..#..##..##..#.##..#...#..#.....#.##..####...#.#....#.#.#.#.#....#.#..####..#.....#..####...#####.#...#....#..######.#.#.##.#.#...#..#..##..##..#.##..#...#..#.....#.##..####...#.#....#.#.#.#.#....#.#..####..#.....#..####...#####.#...#....#..######.#.#.##.#.#...#..#..##..##..#.##..#...#..#.....#.##..####...#.#....#.#.#.#.#....#.#..####..#.....#..####...#####.#...#....#..######.#.#.##.#.#...#..#..##..##..#.##..#...#..#.....#.##..####...#.#....#.#.#.#.#....#.#..####..#.....#..####...####
##..###.....##.#..##.#.###..#.##...#.###.###..##...#..#...##.#......##.####.##.#.###...######...###....#.##..######.#...##.###..#...######.##.........#.#......#..##....#..#.##.##...##..####...#..#.##..####.....###.#.##.#####..##..#.#.#.#####..#.##.##...###.##.####.###.#.#.####.####.#.#..#....#..####..###.#.#.#.##.####.#..#.#.#.........###.###...##.#..#...#.#.#.##.#.##....#.##.##...###.##.####.###.#.#.####.####.#.#..#....#..####..###.#.#.#.##.####.#..#.#.#.........###.###...##.#..#...#.#.#.##.#.##....#.##.##...###.##.####.###.#.#.####.####.#.#..#....#..####..###.#.#.#.##.####.#..#.#.#.........###.###...##.#..#...#.#.#.##.#.##....#.##.##...###.##.####.###.#.#.####.####.#.#..#....#..####..###.#.#.#.##.####.#..#.#.#.........###.###...##.#..#...#.#.#.##.#.##....#.##.##...###.##.####.###.#.#.####.####.#.#..#....#..####..###.#.#.#.##.####.#..#.#.#.........###.###...##.#..#...#.#.#.##.#.##....#.##.##...###.##.####.###.#.#.####.####.#.#..#....#..####..###.#.#.#.##.####.#..#.#.#.........###.###.
##..#.#....##.##.#####.#.####.##.##.##.#.###...#...#....#..###..####.#.....#.....##..#...#####.##.#.###.#...##...##.#...#..#..#######.#...##.#..#..#..#.....#.#.##.#...#####.##.##.#.##...#....#####...#####....#...#####.#.#...#..###.#..##..#..#.##.####..###...####.##.....##..#....###.##.#..##.#.####.###.#####.#...#.##.###.#.##.#..#..##......#..##.#.#...##.#.#.#.#......#.##.##.####..###...####.##.....##..#....###.##.#..##.#.####.###.#####.#...#.##.###.#.##.#..#..##......#..##.#.#...##.#.#.#.#......#.##.##.####..###...####.##.....##..#....###.##.#..##.#.####.###.#####.#...#.##.###.#.##.#..#..##......#..##.#.#...##.#.#.#.#......#.##.##.####..###...####.##.....##..#...####.##.#..##.#.####.###.#####.#...#.##.###.#.##.#..#..##......#..##.#.#...##.#.#.#.#......#.##.##.####..###...####.##.....##..#....###.##.#..##.#.####.###.#####.#...#.##.###.#.##.#..#..##......#..##.#.#...##.#.#.#.#......#.##.##.####..###...####.##.....##..#....###.##.#..##.#.####.###.#####.#...#.##.###.#.##.#..#..##......#..#
..#...#...###..##..#####...#####...#..#.#......##...####..#....#.#...#..####.##.#.##..##.#....#....#..####..###...##.....###...##..#..##.#..##.#.#..########.#.#.###.....#.##.###..#.#..####..##.####.####.#.#.#.##.##.##..##.#...##.#..#.#.#..#.#.###.##..#.#..####.....#.#.#....#.###..#..###..#.#.##..####.#.####.#....##.#...#.#..#..##.#.#.#..######...#..#.#...###.##.###..##.#.###.##..#.#..####.....#.#.#....#.###..#..###..#.#.##..####.#.####.#....##.#...#.#..#..##.#.#.#..######...#..#.#...###.##.###..##.#.###.##..#.#..####.....#.#.#....#.###..#..###..#.#.##..####.#.####.#....##.#...#.#..#..##.#.#.#..######...#..#.#...###.##.###..##.#.###.##..#.#..####.....#.#.#....#.###..#..###..#.#.##..####.#.####.#....##.#...#.#..#..##.#.#.#..######...#..#.#...###.##.###..##.#.###.##..#.#..####.....#.#.#....#.###..#..###..#.#.##..####.#.####.#....##.#...#.#..#..##.#.#.#..######...#..#.#...###.##.###..##.#.###.##..#.#..####.....#.#.#....#.###..#..###..#.#.##..####.#.####.#....##.#...#.#..#..##.#.#.#..######
######.##.....#..#####.#.#....#.##..#.....##.#####.####.###.#####...#.#...###..#.###..##.....#####..##.###.#....#####..#.#.#.#.####.#.#.####.#...#.##..#.####......#######.#...#..########.#..#.#.##....##..#..#.##.#..##....#.#.#..##..#.#.#..###.#.#...###..##..##.##.#.##.....##...##.#.#.###...#.#...##..##.##.##..#....#.##..#.#.##..#.##.#....##.#.#..#.....##..#.#####.#.##..#.#.#...###..##..##.##.#.##.....##...##.#.#.###...#.#...##..##.##.##..#....#.##..#.#.##..#.##.#....##.#.#..#.....##..#.#####.#.##..#.#.#...###..##..##.##.#.##.....##...##.#.#.###...#.#...##..##.##.##..#....#.##..#.#.##..#.##.#....##.#.#..#.....##..#.#####.#.##..#.#.#...###..##..##.##.#.##.....##...##.#.#.###...#.#...##..##.##.##..#....#.##..#.#.##..#.##.#....##.#.#..#.....##..#.#####.#.##..#.#.#...###..##..##.##.#.##.....##...##.#.#.###...#.#...##..##.##.##..#....#.##..#.#.##..#.##.#....##.#.#..#.....##..#.#####.#.##..#.#.#...###..##..##.##.#.##.....##...##.#.#.###...#.#...##..##.##.##..#....#.##..#.#.##..#.##.#....##.#.
..#...###...#.###...###.....#..##.#.###.#.##.##.#.....##..#.#......#.#.#.#.#..##.#..##.#.#.#.#.##########.####..###..#.#..##.......##..###..####.#..........#..#.##..#.#..###.#.#....#.###.###..####.####.#..####..#...#...#...##....#.#.#.#.#..###.###.##.#.####.##....####.####..#.##..#.......##...#....##.####.##.#..#..####.#.#..#..#..###.##...###.####.####...#.##..#.#.#..####.###.##.#.####.##....####.####..#.##..#.......##...#....##.####.##.#..#..####.#.#..#..#..###.##...###.####.####...#.##..#.#.#..####.###.##.#.####.##....####.####..#.##..#.......##...#....##.####.##.#..#..####.#.#..#..#..###.##...###.####.####...#.##..#.#.#..####.###.##.#.####.##....####.####..#.##..#.......##...#....##.####.##.#..#..####.#.#..#..#..###.##...###.####.####...#.##..#.#.#..####.###.##.#.####.##....####.####..#.##..#.......##...#....##.####.##.#..#..####.#.#..#..#..###.##...###.####.####...#.##..#.#.#..####.###.##.#.####.##....####.####..#.##..#.......##...#....##.####.##.#..#..####.#.#..#..#..###.##...###.
..##..##.####..##.##.#..#..##.##...#.....#.....##.######.##.###.###.###...#..#..##.##...#.#...##..###........##.....##....#.#.##.#.#...#.#.#.###....##..#..####.#.#...#########....#.####....##.#...#...#..###.##..#####..#..##.#######.#####..####.##.....##.######...######.##.........###...##..####...###.#...###.#.##..###....####.####..#.##.##.####.##..#....#...#.#..##...####.##.....##.######...######.##.........###...##..####...###.#...###.#.##..###....####.####..#.##.##.####.##..#....#...#.#..##...####.##.....##.######...######.##.........###...##..####...###.#...###.#.##..###....####.####..#.##.##.####.##..#....#...#.#..##...####.##.....##.######...######.##.........###...##..####...###.#...###.#.##..###....####.####..#.##.##.####.##..#....#...#.#..##...####.##.....##.######...######.##.........###...##..####...###.#...###.#.##..###....####.####..#.##.##.####.##..#....#...#.#..##...####.##.....##.######...######.##.........###...##..####...###.#...###.#.##..###....####.####..#.##.##.###
###.....###..#......#...#.##.###..##.#.....#.##.#.#######.#.####..#..#.#........########.##.#...#.###.#.##.##########.#.###..##...#.##...#.....#.#....#...##....###.....#.#...#..#....#..#.#.####..##...#......##..#.......#.#.##..#...#..###..##.####.#...##.#....#####.#.#####..#.#.#.###.###...#.#.#.....####.##..##.##.#.#.....####.##....##..#.##.##.##.###.###..###..#.#.#...#.####.#...##.#....#####.#.#####..#.#.#.###.###...#.#.#.....####.##..##.##.#.#.....####.##....##..#.##.##.##.###.###..###..#.#.#...#.####.#...##.#....#####.#.#####..#.#.#.###.###...#.#.#.....####.##..##.##.#.#.....####.##....##..#.##.##.##.###.###..###..#.#.#...#.####.#...##.#....#####.#.#####..#.#.#.###.###...#.#.#.....####.##..##.##.#.#.....####.##....##..#.##.##.##.###.###..###..#.#.#...#.####.#...##.#....#####.#.#####..#.#.#.###.###...#.#.#.....####.##..##.##.#.#.....####.##....##..#.##.##.##.###.###..###..#.#.#...#.####.#...####....#####.#.#####..#.###.###.###...#.#.#.....####.##..##.##.#.#.....####.##....##..#.##.##
###.#.##...#####.#.#..##..#...##...#####.##.##...###...#...#.###.#...#.#.#.#..#..##..#.....##.#.#...#.##.#.#.#...#....#.#.#.#.###..#.#.##......#.........#.#.##..##.#######.###...#...#...........#...##...####...#.###.###.####..##..######....##..####...#.##..###..##.##.....#...#..#....####.....###..##.###.#.#...##..####..##..###.##.####...#...#..##....#.#####.#..#.#.##.###..####...#.##..###..##.##.....#...#..#....####.....###..##.###.#.#...##..####..##..###.##.####...#...#..##....#.#####.#..#.#.##.###..####...#.##..###..##.##.....#...#..#....####.....###..##.###.#.#...##..####..##..###.##.####...#...#..##....#.#####.#..#.#.##.###..####...#.##..###..##.##.....#...#..#....####.....###..##.###.#.#...##..####..##..###.##.####...#...#..##....#.#####.#..#.#.##.###..####...#.##..###..##.##.....#...#..#....####.....###..##.###.#.#...##..####..##..###.##.####...#...#..##....#.#####.#..#.#.##.###..####...#.##..###..##.##.....#...#..#....####.....###..##.###.#.#...##..####..##..###.##.####...#...#.
#..#.##..##..#.###.##...#.#.###.#.#..#.###.##.##.#####.##.........#.#...#..#.###.#.#.#..####.....#####...#.###.#..#...###..##....##..##..##..####.#..#...#####.#.##.......#####...#....#.#####.#####.#..###..##.##..##...##.######..#####....###.....##...#.#.#.#.####......#####.#.#.##...#...####.##..###.###.##....#.#####.#########...#####......#.#..#...#....#..#..##...#...##....##...#.#.#.#.####......#####.#.#.##...#...####.##..###.###.##....#.#####.#########...#####......#.#..#...#....#..#..##...#...##....##...#.#.#.#.####......#####.#.#.##...#...####.##..###.###.##....#.#####.#########...#####......#.#..#...#....#..#..##...#...##....##...#.#.#.#.####......#####.#.#.##...#...####.##..###.###.##....#.#####.#########...#####......#.#..#...#....#..#..##...#...##....##...#.#.#.#.####......#####.#.#.##...#...####.##..###.###.##....#.#####.#########...#####......#.#..#...#....#..#..##...#...##....##...#.#.#.#.####......#####.#.#.##...#...####.##..###.###.##....#.#####.#########...#####......#.#.
..##.##.......#...####...#####.##.#..##.##########..##........###..######...##.##..#.....#...####.###.##.##.#####....#.#..#...#.###.##...###..#####.####.#####.####.#..#.#.......####.####...#.#....##.##...#.##...#.##...#.#....#######.#.##.#.#..###.##.#.###...#...##..###...###.....#.....##...#.#..#.##.#.#.#......#.###.#.#..#.....#.##.....#.###.###.....###..#.#...#####......###.##.#.###...#...##..###...###.....#.....##...#.#..#.##.#.#.#......#.###.#.#..#.....#.##.....#.###.###.....###..#.#...#####......###.##.#.###...#...##..###...###.....#.....##...#.#..#.##.#.#.#......#.###.#.#..#.....#.##.....#.###.###.....###..#.#...#####......###.##.#.###...#...##..###...###.....#.....##...#.#..#.##.#.#.#......#.###.#.#..#.....#.##.....#.###.###.....###..#.#...#####......###.##.#.###...#...##..###...###.....#.....##...#.#..#.##.#.#.#......#.###.#.#..#.....#.##.....#.###.###.....###..#.#...#####......###.##.#.###...#...##..###...###.....#.....##...#.#..#.##.#.#.#......#.###.#.#..#.....#.##.....#.###.#
#.#...##..#######.#.###.###.###....#.###..#...##.###.#.##......###...##.###.#######..#####.#.##...###.#.#.####.#..#...#..#....####.####...##...#..##.##.#.#.#.##.###.####..#.##.####....###.##.###.#....###..##..##.#####.......#.##.#.#.##.#..###.###..#....#.#....#.##..###.#####.#..#.#...##.##.###...#.###.###..##..###.....##.#..###.###..##.###.##..#..##.#.###.#####.####.####.###..#....#.#....#.##..###.#####.#..#.#...##.##.###...#.###.###..##..###.....##.#..###.###..##.###.##..#..##.#.###.#####.####.####.###..#....#.#....#.##..###.#####.#..#.#...##.##.###...#.###.###..##..###.....##.#..###.###..##.###.##..#..##.#.###.#####.####.####.###..#....#.#....#.##..###.#####.#..#.#...##.##.###...#.###.###..##..###.....##.#..###.###..##.###.##..#..##.#.###.#####.####.####.###..#....#.#....#.##..###.#####.#..#.#...##.##.###...#.###.###..##..###.....##.#..###.###..##.###.##..#..##.#.###.#####.####.####.###..#....#.#....#.##..###.#####.#..#.#...##.##.###...#.###.###..##..###.....##.#..###.###..##.###.##.
.#.#.###.#..##..#..#.#..##..#....#.#..###..#..#..#.######.....#..#...##.#.#.##.....##.##.########.###............#....#.##..###...##.#.#.#..##...#..#.###.#.###....#..#..#...##.#..#.###.###.#.####.##..#.#.....#.#.#..#.####.#.###...##....#.#.##....##.#...#..###..#..#...#...#.##........#.#.#...##.#..##..#.#....#...#..#.#..###.#.#.#.#.##...##..#.##.#...####.###.####.##.##.##....##.#...#..###..#..#...#...#.##........#.#.#...##.#..##..#.#....#...#..#.#..#.#.#.#.#.#.##...##..#.##.#...####.###.####.##.##.##....##.#...#..###..#..#...#...#.##........#.#.#...##.#..##..#.#....#...#..#.#..#.#.#.#.#.#.##...##..#.##.#...####.###.####.##.##.##....##.#...#..###..#..#...#...#.##........#.#.#...##.#..##..#.#....#...#..#.#..#.#.#.#.#.#.##...##..#.##.#...####.###.####.##.##.##....##.#...#..###..#..#...#...#.##........#.#.#...##.#..##..#.#....#...#..#.#..#.#.#.#.#.#.##...##..#.##.#...####.###.####.##.##.##....##.#...#..###..#..#...#...#.##........#.#.#...##.#..##..#.#....#...#..#.#..#.#.#.#.#.#.##...##..#.#
...#.#####.####...#...#....####.#..##..#..#.##...##.#..##.#####...#..####.#.##.##....#.#......####.#...#...........###.#.#.#.....#.#....########.###.######....#.##..##.#...#....###.######..##.###...##....#......##.###....#.....#.######.#.###.####.#.#.###.#.#.#..#####.#.....##....#.#.#####.#.##..##..#....#...##..#.....##.#.###....#...#####...##...##.###.#.#..#####.....##.####.#.#.###.#.#.#..#####.#.....##....#.#.#####.#.##..##..#....#...##..#.....##.#.###....#...#####...##...##.###.#.#..#####.....##.####.#.#.###.#.#.#..#####.#.....##....#.#.#####.#.##..##..#....#...##..#.....##.#.###....#...#####...##...##.###.#.#..#####.....##.####.#.#.###.#.#.#..#####.#.....##....#.#.#####.#.##..##..#....#...##..#.....##.#.###....#...#####...##...##.###.#.#..#####.....##.####.#.#.###.#.#.#..#####.#.....##....#.#.#####.#.##..##..#....#...##..#.....##.#.###....#...#####...##...##.###.#.#..#####.....##.####.#.#.###.#.#.#..#####.#.....##....#.#.#####.#.##..##..#...##...##..#.....##.#.###....#...#####...##
...#..#.#####......##.#.##..###...#.#.#.######.##..#.#.#.#..##.##..#...####.##.#.#...###.....#####....##....#..#...#####.##.##.#..#..##.##.....#..##...##...#..####....##.....#.#..####.#.##...........##.##..#..#.####.#...##.#.#.#####.#.#.####...#....###..##.##.##..#..#.#...##.##..##.#####.#####.#..#...#.##.#####..#####.#..#......##..#.#.#..#.###..##.#...####...#...##.#.#...#....###..##.##.##..#..#.#...##.##..##.#####.#####.#..#...#.##.#####..#####.#..#......##..#.#.#..#.###..##.#...####...#...##.#.#...#....###..##.##.##..#..#.#...##.##..##.#####.#####.#..#...#.##.#####..#####.#..#......##..#.#.#..#.###..##.#...####...#...##.#.#...#....###..##.##.##..#..#.#...##.##..##.#####.#####.#..#...#.##.#####..#####.#..#......##..#.#.#..#.###..##.#...####...#...##.#.#...#....###..##.##.##..#..#.#...##.##..##.#####.#####.#..#...#.##.#####..#####.#..#......##..#.#.#..#.###..##.#...####...#...##.#.#...#....###..##.##.##..#..#.#...##.##..##.#####.#####.#..#...#.##.#####..#####.#..#......##..#.#.#..#.##
..####...##.###....#.##########.#..##.#.########.###########.##.####.#####.######....#.#.##.#..#...###.###.#..##...#.....#.#...#.######..#..###......#####.#..#..##..#..######.###..####..#......####...##.#..#.##..##..#..#..##.....###.....#.####..#..#.##.#.....###..##..###.###..#.#####.#.####.#.#...###..##..##.#..####..##.#.#.####.....#...#..#.##.#.#........#####.##.#.#####..#..#.##.#.....###..##..###.###..#.#####.#.####.#.#...###..##..##.#..####..##.#.#.####.....#...#..#.##.#.#........#####.##.#.#####..#..#.##.#.....###..##..###.###..#.#####.#.####.#.#...###..##..##.#..####..##.#.#.####.....#...#..#.##.#.#........#####.##.#.#####..#..#.##.#.....###..##..###.###..#.#####.#.####.#.#...###..##..##.#..####..##.#.#.####.....#...#..#.##.#.#........#####.##.#.#####..#..#.##.#.....###..##..###.###..#.#####.#.####.#.#...###..##..##.#..####..##.#.#.####.....#...#..#.##.#.#........#####.##.#.#####..#..#.##.#.....###..##..###.###..#.#####.#.####.#.#...###..##..##.#..####..##.#.#.####.....#...#..#.#
........#.#####..###.#..#######..##.###.#.#.#####.....##....#.#.#..##.#.####.##.#.#..#.#.#....#####.####.##..#....##..#..#.....#........###....####.#...#..#..#.####.##.#.###.##.##.#..##..#......####..##.###.##.#.#.#..##.###..###.##...#...#.#.##.....#.......#.##.###...###.....###..###.#.#.....##.##.......#...##.....##..#.####..#.####..##..#..#..#...##.#..#...###.#..#.###.##.....#.......#.##.###...###.....###..###.#.#.....##.##.......#...##.....##..#.####..#.####..##..#..#..#...##.#..#...###.#..#.###.##.....#.......#.##.###...###.....###..###.#.#.....##.##.......#...##.....##..#.####..#.####..##..#..#..#...##.#..#...###.#..#.###.##.....#.......#.##.###...###.....###..###.#.#.....##.##.......#...##.....##..#.####..#.####..##..#..#..#...##.#..#...###.#..#.###.##.....#.......#.##.###...###.....###..###.#.#.....##.##.......#...##.....##..#.####..#.####..##..#..#..#...##.#..#...###.#..#.###.##.....#.......#.##.###...###.....###..###.#.#.....##.##.......#...##.....##..#.####..#.####..##..#..#.
##.#.#......###.####....#..#.#.####..###.#......####..#...#....#..##.#.......#.#..#..##.....##.#.###.###..##.###...#.######..##...#...#.###..#..#.###.##..#..#.##..#..#.##..###########.#.##.....#......####.#.#####..#.#####...##.......##.......#..#...#..#..####..####.#.......#.#..#######....#.##...#.#.#.#...##.#.#######.#.####.#...#...####..#.#.#####..#.#...#.####.#.##.##.#..#...#..#..####..####.#.......#.#..#######....#.##...#.#.#.#...##.#.#######.#.####.#...#...####..#.#.#####..#.#...#.####.#.##.##.#..#...#..#..####..####.#.......#.#..#######....#.##...#.#.#.#...##.#.#######.#.####.#...#...####..#.#.#####..#.#...#.####.#.##.##.#..#...#..#..####..####.#.......#.#..#######....#.##...#.#.#.#...##.#.#######.#.####.#...#...####..#.#.#####..#.#...#.####.#.##.##.#..#...#..#..####..####.#.......#.#..#######....#.##...#.#.#.#...####.#######.#.####.#...#...####..#.#.#####..#.#...#.####.#.##.##.#..#...#..#..####..####.#.......#.#..#######....#.##...#.#.#.#...##.#.#######.#.####.#...#...####..#.#.
.#.###.#......##..##.#.#..#...#...##..####...#..###..##.##..###.##..#.#.#...##.##..#.#######.####.#.##...##....#...##.#.##.#..#####...#..##.#.#.##....#..#.#.#.####.#.#..###.#...##.#.######..####...##..###.#.##.####.#..#.#.#.#####.##..###..#....#.#.#.###.#..#..#.#..#..#######..##...##...#.#####..############...#######...###....#..###...#.#########...##.#.##..###.#.#.##.....#.#.#.###.#..#..#.#..#..#######..##...##...#.#####..############...#######...###....#..###...#.#########...##.#.##..###.#.#.##.....#.#.#.###.#..#..#.#..#..#######..##...##...#.#####..############...#######...###....#..###...#.#########...##.#.##..###.#.#.##.....#.#.#.###.#..#..#.#..#..#######..##...##...#.#####..############...#######...###....#..###...#.#########...##.#.##..###.#.#.##.....#.#.#.###.#..#..#.#..#..#######..##...##...#.#####..############...#######...###....#..###...#.#########...##.#.##..###.#.#.##.....#.#.#.###.#..#..#.#..#..#######..##...##...#.#####..############...#######...###....#..###...#.######
###......###.#...#..##.#.#..#.#..##.##..###.#.##.#..###.#.....#.#..##.#.##..##.###.###...##.##..#.#..#..#..#...#.###.###..##.##...#..####..##..#.###.###.....###.......#.##...#.....##.##.#.##.##.###.#.#.####.##.....#.###.#########..####.#.........#####.##.##....#..##.##..##..#.##.##.##.#..#..##.....#..##.##.##.###...##.....###...##.#..##....###..#..#..#.##.##.##.#............#####.##.##....#..##.##..##..#.##.##.##.#..#..##.....#..##.##.##.###...##.....###...##.#..##....###..#..#..#.##.##.##.#............#####.##.##....#..##.##..##..#.##.##.##.#..#..##.....#..##.##.##.###...##.....###...##.#..##....###..#..#..#.##.##.##.#............#####.##.##....#..##.##..##..#.##.##.##.#..#..##.....#..##.##.##.###...##.....###...##.#..##....###..#..#..#.##.##.##.#............#####.##.##....#..##.##..##..#.##.##.##.#..#..##.....#..##.##.##.###...##.....###...##.#..##....###..#..#..#.##.##.##.#............#####.##.##....#..##.##..##..#.##.##.##.#..#..##.....#..##.##.##.###...##.....###...##.#..##....###
.#.####.#.###.#...#####....##......###..#..##.##.#.#......##.....#...#######..#..####.#...#.#####..#..##..#.#.#####.##.##.#####.##..#.#....######..#.#.##..###.###.#.###..##.#.##.....#...###.#.##.#.###.#.##..##.##....#.#......###.##.###..##..##...##....#.#...#.###.#..##....####.....#...#.#..##.#.#..###..#.##########.#.......###.##...##.......#.#.....###.#####.....#....#.##...##....#.#...#.###.#..##....####.....#...#.#..##.#.#..###..#.##########.#.......###.##...##.......#.#.....###.#####.....#....#.##...##....#.#...#.###.#..##....####.....#...#.#..##.#.#..###..#.##########.#.......###.##...##.......#.#.....###.#####.....#....#.##...##....#.#...#.###.#..##....####.....#...#.#..##.#.#..###..#.##########.#.......###.##...##.......#.#.....###.#####.....#....#.##...##....#.#...#.###.#..##....####.....#...#.#..##.#.#..###..#.##########.#.......###.##...##.......#.#.....###.#####.....#....#.##...##....#.#...#.###.#..##....####.....#...#.#..##.#.#..###..#.##########.#.......###.##...##.......#.
##.#..##...###.#.###.##.##.#.###..##.......###.###..##..#.###.#.#.##....###.#..#.##...####.#..#..####.###.###..##.##..####.....#..###...#...######....####.###.###.....#.#.################..#.#.#.#....##.########.#.#.#.#.....#.#.##.##...##..#.#...#..#..#.....#....#.#..##.##..#.#.#.#...#..#.##.##.##.####.##..##.#..##..#.....#..#...#.##....##..#.#.#####...####..#...#.......#...#..#..#.....#....#.#..##.##..#.#.#.#...#..#.##.##.##.####.##..##.#..##..#.....#..#...#.##....##..#.#.#####...####..#...#.......#...#..#..#.....#....#.#..##.##..#.#.#.#...#..#.##.##.##.####.##..##.#..##..#.....#..#...#.##....##..#.#.#####...####..#...#.......#...#..#..#.....#....#.#..##.##..#.#.#.#...#..#.##.##.##.####.##..##.#..##..#.....#..#...#.##....##..#.#.#####...####..#...#.......#...#..#..#.....#....#.#..##.##..#.#.#.#...#..#.##.##.##.####.##..##.#..##..#.....#..#...#.##....##..#.#.#####...####..#...#.......#...#..#..#.....#....#.#..##.##..#.#.#.#...#..#.##.##.##.####.##..##.#..##..#.....#..#...#.##....##..#.
##.#..#.##.##...#..###....##.###..#.##.#.#.#.###.##...######.#.##.#..##.#...####...##.#.....#.#..#...####.#.#.....#.#.#.######..#.#.#.###..#.#.##....#..#...#.####.###.###.########.....###.......#.#.##......#.####....##..##.#.#####..#..#.##.##...##.###.##..#.#..#...#.###......####.##.#.#.#####..#.#..##......#..###.#.##.....#...#..##.#..#.####.#...##.#.##.##.##.#.####.#.##...##.###.##..#.#..#...#.###......####.##.#.#.#####..#.#..##......#..###.#.##.....#...#..##.#..#.####.#...##.#.##.##.##.#.####.#.##...##.###.##..#.#..#...#.###......####.##.#.#.#####..#.#..##......#..###.#.##.....#...#..##.#..#.####.#...##.#.##.##.##.#.####.#.##...##.###.##..#.#..#...#.###......####.##.#.#.#####..#.#..##......#..###.#.##.....#...#..##.#..#.####.#...##.#.##.##.##.#.####.#.##...##.###.##..#.#..#...#.###......####.##.#.#.#####..#.#..##......#..###.#.##.....#...#..##.#..#.####.#...##.#.##.##.##.#.####.#.##...##.###.##..#.#..#...#.###......####.##.#.#.#####..#.#..##......#..###.#.##.....#...#..##.#..#.####.#
.#.##..##.#.#..#####.###..#.#.#.#.#.#.#....#..#..##.......#...###..##.##.#...#....##.#..##.######.#....####..#.#..###..#.##..#...######...#...##.#....#..#.#.#.###..###.##...#.##.#####..#.###.###.#...#.#.#....#..#.#..###.#.....#..##.###.......#...#..#.##.#..#.###...#.###..#####...####....#.#......##...######...#.#########.#.##....##.##.###.###.###.#.###.#.#######.#.##..#.#...#..#.##.#..#.###...#.###..#####...####....#.#......##...######...#.#########.#.##....##.##.###.###.###.#.###.#.#######.#.##..#.#...#..#.##.#..#.###...#.###..#####...####....#.#......##...######...#.#########.#.##....##.##.###.###.###.#.###.#.#######.#.##..#.#...#..#.##.#..#.###...#.###..#####...####....#.#......##...######...#.#########.#.##....##.##.###.###.###.#.###.#.#######.#.##..#.#...#..#.##.#..#.###...#.###..#####...####....#.#......##...######...#.#########.#.##....##.##.###.###.###.#.###.#.#######.#.##..#.#...#..#.##.#..#.###...#.###..#####...####....#.#......##...######...#.#########.#.##....##.##.###.###.
...##.##..#...##.#.#.######.#.#.#.....#.#.#.######.##.######.##.#.#....##.#.###...#....#...########...###.#..##.#....##..###.######.#..###.....###..#.##.####.###..#.#...####......###...#.#.....#.####.#####..##.#..#..#..#...#####..##.###.###..#...#########.###..#..###.#.##..##.##.#.##..###.###.#...#.#.######.##.#.#..#.#..###.###..####.#.####.....###......##..#..###..##...#...#########.###..#..###.#.##..##.##.#.##..###.###.#...#.#.######.##.#.#..#.#..###.###..####.#.####.....###......##..#..###..##...#...#########.###..#..###.#.##..##.##.#.##..###.###.#...#.#.######.##.#.#..#.#..###.###..####.#.####.....###......##..#..###..##...#...#########.###..#..###.#.##..##.##.#.##..###.###.#...#.#.######.##.#.#..#.#..###.###..####.#.####.....###......##..#..###..##...#...#########.###..#..###.#.##..##.##.#.##..###.###.#...#.#.######.##.#.#..#.#..###.###..####.#.####.....###......##..#..###..##...#...#########.###..#..###.#.##..##.##.#.##..###.###.#...#.#.######.##.#.#..#.#..###.###..####.#.####...
...#..#......###.###.#.##..####...#...#....##.#....#..##.#.#.######.#...##.....#....#........###.##.....#.###.####..###..#.##.###..##.#..#..##.###.####.##.####..##.#########...##.##..###....#......#...#.###.##.##..####..###.#..#.#...###.#.#.##.##..#.#..#####.##......#..##.####.#..#.##.##.####...###.#.#.#.####.#.#.#.##.#####.#..#..###.#.##..#....#.#....#..##.#.###..##...##.##..#.#..#####.##......#..##.####.#..#.##.##.####...###.#.#.#.####.#.#.#.##.#####.#..#..###.#.##..#....#.#....#..##.#.###..##...##.##..#.#..#####.##......#..##.####.#..#.##.##.####...###.#.#.#.####.#.#.#.##.#######..#..###.#.##..#....#.#....#..##.#.###..##...##.##..#.#..#####.##......#..##.####.#..#.##.##.####...###.#.#.#.####.#.#.#.##.#####.#..#..###.#.##..#....#.#....#..##.#.###..##...##.##..#.#..#####.##......#..##.####.#..#.##.##.####...###.#.#.#.####.#.#.#.##.#####.#..#..###.#.##..#....#.#....#..##.#.###..##...##.##..#.#..#####.##......#..##.####.#..#.##.##.####...###.#.#.#.####.#.#.#.##.#####.#..#..###.#.##..#..
.###.#.##.##...##....#.##..##.#.###...#.########..##...........#.#.#.######..####.##.#....#.##.#####.######........#.##########.#..##.#..###.##.###..##.#..####..#....###..###.#.##.#.#.#..#.###.#.#..#.#..####..####.##.##.##.######...#.######..######.###.....#...###.#.....####.....#......#..###.##..####.##.#####.######.......#..####.####.##.#.#...#.#.##..####..#.#..#..##..######.###.....#...###.#.....####.....#......#..###.##..####.##.#####.######.......#..####.####.##.#.#...#.#.##..####..#.#..#..##..######.###.....#...###.#.....####.....#......#..###.##..####.##.#####.######.......#..####.####.##.#.#...#.#.##..####..#.#..#..##..######.###.....#...###.#.....####.....#......#..###.##..####.##.#####.######.......#..####.####.##.#.#...#.#.##..####..#.#..#..##..######.###.....#...###.#.....####.....#......#..###.##..####.##.#####.######.......#..####.####.##.#.#...#.#.##..####..#.#..#..##..######.###.....#...###.#.....####.....#......#..###.##..####.##.#####.######.......#..####.####.##.#.#.
..###....####..#.###.##....#.#..#.#.#.#..##...#....##..#.#.#..#..#.##..####...###..#....####....#........###........#..#.#.#####..#...##......#.....###...#....#.....#........##..#.#..#...####.#.##.#.#.###...#....###..#.#.#.###..##...###.#....##.#...#.######.##.#.#.###..###.###....##.#.#..####..##..#####......##....##.##.#.#.##.#..#.###.##.##.#..##..#..##..####.#.#..#.#..##.#...#.######.##.#.#.###..###.###....##.#.#..####..##..#####......##....##.##.#.#.##.#..#.###.##.##.#..##..#..##..####.#.#..#.#..##.#...#.######.##.#.#.###..###.###....##.#.#..####..##..#####......##....##.##.#.#.##.#..#.###.##.##.#..##..#..##..####.#.#..#.#..##.#...#.######.##.#.#.###..###.###....##.#.#..####..##..#####......##....##.##.#.#.##.#..#.###.##.##.#..##..#..##..####.#.#..#.#..##.#...#.######.##.#.#.###..###.###....##.#.#..####..##..#####......##....##.##.#.#.##.#..#.###.##.##.#..##..#..##..####.#.#..#.#..##.#...#.######.##.#.#.###..###.###....##.#.#..####..##..#####......##....##.##.#.#.##.#..#.###.##.##.#
..##..#.#..#...#...#####.###..#.####...#.#....#####..####.#..#....#..##..##.#...#.....###.#####.#..##.#.#####.##.#..#.###.#..#..#.....##.####.####......#.#..#.###...#.##.....########..###..#...###.#...##.#..####.##.#....#.#..#...#.....#.#..#....###..####..#...#####..#.#..#####....#.#########.##.##..#.##...#..####..#.#....##.#...###..#..#####.#..####....###.#..#.###.###.....###..####..#...#####..#.#..#####....#.#########.##.##..#.##...#..####..#.#....##.#...###..#..#####.#..####....###.#..#.###.###.....###..####..#...#####..#.#..#####....#.#########.##.##..#.##...#..####..#.#....##.#...###..#..#####.#..####....###.#..#.###.###.....###..####..#...#####..#.#..#####....#.#########.##.##..#.##...#..####..#.#....##.#...###..#..#####.#..####....###.#..#.###.###.....###..####..#...#####..#.#..#####....#.#########.##.##..#.##...#..####..#.#....##.#...###..#..#####.#..####....###.#..#.###.###.....###..####..#...#####..#.#..#####....#.#########.##.##..#.##...#..####..#.#....##.#...###..#..#####.#
.#.#...##.#.##.##.#...########...##.#.###.#.#..##..#.########..#.##.##....##.###...#.#.####...#.#....#..###.#...####.#.#.###..#...#.#.#..###.###..#.#####...#.#.###..#.#..#.#.#.###.##.....####.##.##.##...#.#..#.#...#.#.##...#.######..#####.####..#.###..###.#..###.#.##.......###..###.##.####..#..##.###.#.###.##.##..##.#...#....#.##...#.##.##....#.#...######...#...###.#..###..#.###..###.#..###.#.##.......###..###.##.####..#..##.##..#.###.##.##..##.#...#....#.##...#.##.##....#.#...######...#...###.#..###..#.###..###.#..###.#.##.......###..###.##.####..#..##.##..#.###.##.##..##.#...#....#.##...#.##.##....#.#...######...#...###.#..###..#.###..###.#..###.#.##.......###..###.##.####..#..##.##..#.###.##.##..##.#...#....#.##...#.##.##....#.#...######...#...###.#..###..#.###..###.#..###.#.##.......###..###.##.####..#..##.##..#.###.##.##..##.#...#....#.##...#.##.##....#.#...######...#...###.#..###..#.###..###.#..###.#.##.......###..###.##.####..#..##.##..#.###.##.##..##.#...#....#.##...#.##.##....
###.###.#.##....#.###.##.....#########.#..#.......#.##.#######.#.######..####..######.##..###.##.#..#.##.#.#.#.##.#.#..#######.#.##..##.#....#.##..#.#####.#..#..###.....#.#..#..#..#.##.##.###.#####.#.#.###..###...##.....#.########..#...###..#.#....##..#.##.###..##.#.##.......#.####....##....#...####.....##.##.#..###...##..#.#.#...#.#..#.#.##..##.#..##.#.#.###..######..##.#....##..#.##.###..##.#.##.......#.####....##....#...####.....##.##.#..###...##..#.#.#...#.#..#.#.##..##.#..##.#.#.###..######..##.#....##..#.##.###..##.#.##.......#.####....##....#...####.....##.##.#..###...##..#.#.#...#.#..#.#.##..##.#..##.#.#.###..######..##.#....##..#.##.###..##.#.##.......#.####....##....#...####.....##.##.#..###...##..#.#.#...#.#..#.#.##..##.#..##.#.#.###..######..##.#....##..#.##.###..##.#.##.......#.####....##....#...####.....##.##.#..###...##..#.#.#...#.#..#.#.##..##.#..##.#.#.###..######..##.#....##..#.##.###..##.#.##.......#.####....##....#...####.....##.##.#..###...##..#.#.#...#.#..#.#.##..
##.##..#...........#....#.....#.#.#.#.###.##.....#.######.#.#..#...##########..#......#..####.#.####.##....#...####.#####.##...#..#..###..#....#..###.#.##..#.##.#.#.#...#...#.#####..#..##.......#.##.#.#####.......#.#......#####.#.##.#.###....###.#####.########..##.#..######.#.#..##.#.#..#.#......#...#.#.###.###.#....####...##.##.#####..##.######.###.#...#####....##.#.#..###.#####.########..##.#..######.#.#..##.#.#..#.#......#...#.#.###.###.#....####...##.##.#####..##.######.###.#...#####....##.#.#..###.#####.########..##.#..######.#.#..##.#.#..#.#......#...#.#.###.###.#....####...##.##.#####..##.######.###.#...#####....##.#.#..###.#####.########..##.#..######.#.#..##.#.#..#.#......#...#.#.###.###.#....####...##.##.#####..##.######.###.#...#####....##.#.#..###.#####.########..##.#..######.#.#..##.#.#..#.#......#...#.#.###.###.#....####...##.##.#####..##.######.###.#...#####....##.#.#..###.#####.########..##.#..######.#.#..##.#.#..#.#......#...#.#.###.###.#....####...##.##.#####..##.####
.##..###.#....#######...#.##...#######.#.#.....#.#....####..###.#..#..#.##.##.######.#.##.##.#...####.###.#.#####..#.#.##..##.#.#.#.###..#.#.#...##.#####.#..#.###..##...#.#..##.#...##.....#.#..#...#..#..###..###.....#.......#.##.......#####..........###.####...#.#.##.#...###.#..#..##.#...#####..#.##.....#.###.#..##..#.#######.....#.##..#..#.##...#..#.#####.###..#.#.##...........###.####...#.#.##.#...###.#..#..##.#...#####..#.##.....#.###.#..##..#.#######.....#.##..#..#.##...#..#.#####.###..#.#.##...........###.####...#.#.##.#...###.#..#..##.#...#####..#.##.....#.###.#..##..#.#######.....#.##..#..#.##...#..#.#####.###..#.#.##...........###.####...#.#.##.#...###.#..#..##.#...#####..#.##.....#.###.#..##..#.#######.....#.##..#..#.##...#..#.#####.###..#.#.##...........###.####...#.#.##.#...###.#..#..##.#...#####..#.##.....#.###.#..##..#.#######.....#.##..#..#.##...#..#.#####.###..#.#.##...........###.####...#.#.##.#...###.#..#..##.#...#####..#.##.....#.###.#..##.##.#######.....#.##..#..#.##
#######.#..##...##........#....#.#..#######.#..###.........##.....#...#..#.#..#.##.#.....#.####....#.#.........#.#.#.#.##.##.##.#.#.#.#.....###..##.#.#.####.#.#.#.#.###.#..#######...##..##....#...######..##...###.##..###.#.##..#...####.####.#.....#.##.##..####.....##..##..###....####...#.#.###..#.#.#.#.....#..##...##.##...#.#.####..###...#..#.###..#...#####......####...#.....#.##.##..####.....##..##..###....####...#.#.###..#.#.#.#.....#..##...##.##...#.#.####..###...#..#.###..#...#####......####...#.....#.##.##..####.....##..##..###....####...#.#.###..#.#.#.#.....#..##...##.##...#.#.####..###...#..#.###..#...#####......####...#.....#.##.##..####.....##..##..###....####...#.#.###..#.#.#.#.....#..##...##.##...#.#.####..###...#..#.###..#...#####......####...#.....#.##.##..####.....##..##..###....####...#.#.###..#.#.#.#.....#..##...##.##...#.#.####..###...#..#.###..#...#####......####...#.....#.##.##..####.....##..##..###....####...#.#.###..#.#.#.#.....#..##...##.##...#.#.####..###...#..#.
###..#.##.#####..#..#..#....#.#..##.#....###..#.###.####...##.#.#.#.##....##..##...#..#.#..#...##.#.#.....#...#.#....##.#.#.....############..#.#.##.##.#########..###...#..##...#..##...#######..#.#.###....#.#..##..#...#####..#.#..#..#........#.#.###.##.##......#...#..####.##..#.###.##.#..#..#.#.#...#...#########.....####.######...##..####.#..##...#.#.###.##..#.##..####..#.#.###.##.##......#...#..####.##..#.###.##.#..#..#.#.#...#...#########.....####.######...##..####.#..##...#.#.###.##..#.##..####..#.#.###.##.##......#...#..####.##..#.###.##.#..#..#.#.#...#...#########.....####.######...##..####.#..##...#.#.###.##..#.##..####..#.#.###.##.##......#...#..####.##..#.###.##.#..#..#.#.#...#...#########.....####.######...##..####.#..##...#.#.###.##..#.##..####..#.#.###.##.##......#...#..####.##..#.###.##.#..#..#.#.#...#...#########.....####.######...##..####.#..##...#.#.###.##..#.##..####..#.#.###.##.##......#...#..####.##..#.###.##.#..#..#.#.#...#...#########.....####.######...##..####.#..#
..###.##.####.#.##.##.###.##.#...#..##.#...##.#####.###..#...#.#..#.#.#..#...##...#.....#...##...##...##..#..###.#.#..#.#######..####..#...#.###..#.#...#.##..#..#.#####..###.....##..#.#########.#...#####.###.##.#....####.#####.#########..#.#..###....#.######..##.###..#...#.#...#..####..##.#.#.#.....#.##.##.#....##.##...#.#.#.#..#.####..####..#........#.#..#...#...#####...###....#.######..##.###..#...#.#...#..####..##.#.#.#.....#.##.##.#....##.##...#.#.#.#..#.####..####..#........#.#..#...#...#####...###....#.######..##.###..#...#.#...#..####..##.#.#.#.....#.##.##.#....##.##...#.#.#.#..#.####..####..#........#.#..#...#...#####...###....#.######..##.###..#...#.#...#..####..##.#.#.#.....#.##.##.#....##.##...#.#.#.#..#.####..####..#........#.#..#...#...#####...###....#.######..##.###..#...#.#...#..####..##.#.#.#.....#.##.##.#....##.##...#.#.#.#..#.####..####..#........#.#..#...#...#####...###....#.######..##.###..#...#.#...#..####..##.#.#.#.....#.##.##.#....##.##...#.#.#.#..#.####..####..#
.#.#.#.##.######...#..##..####..#.##.#.####..##.#####.#.##...##..###..#...###.#...#.#####.#..##.#...#..#....#.......#.####...#...#..###.####.#....#..##.#.....#.#...##.####..#.#..##.#.##.##.#.#..#..#...#.#####..#...##.#..##...##.###......###..##.#.########...#..#..####.#..#...######.#.#..#.###..##...#..##.####...#..##.#....#..#.#....#....#......##......#.#.##....#.###..#.##.#.########...#..#..####.#..#...######.#.#..#.###..##...#..##.####...#..##.#....#..#.#....#....#......##......#.#.##....#.###..#.##.#.########...#..#..####.#..#...######.#.#..#.###..##...#..##.####...#..##.#....#..#.#....#....#......##......#.#.##....#.###..#.##.#.########...#..#..####.#..#...######.#.#..#.###..##...#..##.####...#..##.#....#..#.#....#....#......##......#.#.##....#.###..#.##.#.########...#..#..####.#..#...######.#.#..#.###..##...#..##.####...#..##.#....#..#.#....#....#......##......#.#.##....#.###..#.##.#.########...#..#..####.#..#...######.#.#..#.###..##...#..##.####...#..##.#....#..#.#....#....#.....
.##..#####.....##.#.##..#.####.#.##..##..#.#..###..###.....#.##....##..##.#..#..###.......####.#....##..#####.##...##.####..###..#.###.####...##..##..#.###...####.#.###..##.#......#.########.###.#.#...#.##.##..#####...#..###.#.##..##.......#########.##..##..##.#..##....#....###.#.#.####.###.#.#.#.#.##.##...#...##.......#......####.####.#.#...##....#.#..##..#####.#.#.#..########.##..##..##.#..##....#....###.#.#.####.###.#.#.#.#.##.##...#...##.......#......####.####.#.#...##....#.#..##..#####.#.#.#..########.##..##..##.#..##....#....###.#.#.####.###.#.#.#.#.##.##...#...##.......#......####.####.#.#...##....#.#..##..#####.#.#.#..########.##..##..##.#..##....#....###.#.#.####.###.#.#.#.#.##.##...#...##.......#......####.####.#.#...##....#.#..##..#####.#.#.#..########.##..##..##.#..##....#....###.#.#.####.###.#.#.#.#.##.##...#...##.......#......####.####.#.#...##....#.#..##..#####.#.#.#..########.##..##..##.#..##....#....###.#.#.####.###.#.#.#.#.##.##...#...##.......#......####.####.#.#...#
.#.#.#.##.####.##.#.#.##...##..#.#.#..#..###.###.##..##.#.##...###..###...#..#.##..#####......##.####.##..##.###....##.##.#####..###.##.#...#...#..#.#.########..#####.####..##.....#...###...##.....#.###..#.##.##.....#..#####.....#...##..#....##..#.#.##.##.##.#.#.#.#..#...##...#.###.#####.###..####...##.....####.##..####..#.#.##...####...#.##..#..#######.######..#....###.##..#.#.##.##.##.#.#.#.#..#...##...#.###.#####.###..####...##.....####.##..####..#.#.##...####...#.##..#..#######.######..#....###.##..#.#.##.##.##.#.#.#.#..#...##...#.###.#####.###..####...##.....####.##..####..#.#.##...####...#.##..#..#######.######..#....###.##..#.#.##.##.##.#.#.#.#..#...##...#.###.#####.###..####...##.....####.##..####..#.#.##...####...#.##..#..#######.######..#....###.##..#.#.##.##.##.#.#.#.#..#...##...#.###.#####.###..####...##.....####.##..####..#.#.##...####...#.##..#..#######.######..#....###.##..#.#.##.##.##.#.#.#.#..#...##...#.###.#####.###..####...##.....####.##..####..#.#.##...####...#.##..
.###.#.###..###..#..#.#.##.##.##......#...#.........###..#.###...###..####.##...####..#######...#.......##...#######....###.##..##..##.#.###.........##..##.##.....##..##.###.....#.#.........##.#.#.###.....##..######..#...##.##...#.#..#..#...##.#...##.#.#...#.######.#..######..##....#.##..#..#.###.#.##..#.#..##.#..#######...#.##.##...##...###....#.##.##..#....######.#...##.#...##.#.#...#.######.#..######..##....#.##..#..#.###.#.##..#.#..##.#..#######...#.##.##...##...###....#.##.##..#....######.#...##.#...##.#.#...#.######.#..######..##....#.##..#..#.###.#.##..#.#..##.#..#######...#.##.##...##...###....#.##.##..#....######.#...##.#...##.#.#...#.######.#..######..##....#.##..#..#.###.#.##..#.#..##.#..#######...#.##.##...##...###....#.##.##..#....######.#...##.#...##.#.#...#.######.#..######..##....#.##..#..#.###.#.##..#.#..##.#..#######...#.##.##...##...###....#.##.##..#....######.#...##.#...##.#.#...#.######.#..######..##....#.##..#..#.###.#.##..#.#..##.#.########...#.##.##...##...###..
#.#..####...###.....#..##.###...#########..##.#.####.#####..#######...###.###.####..#.##......#.#.######.###.#.##..#..##...#.###.#..#.#.#.##.##..####.##.#.#......#.##.#.##.##.#.#####.#.##.#...#.#.#.#..#..#.#..#.##.#....##.###.###..#...##..###.#..#..#.#.####...####.####.#..#...#.###.#.....#.#...#####.##.##.......#.####.####.#...####..##...###..#..##.##.#.....#...#.......#.#..#..#.#.####...####.####.#..#...#.###.#.....#.#...#####.##.##.......#.####.####.#...####..##...###..#..##.##.#.....#...#.......#.#..#..#.#.####...####.####.#..#...#.###.#.....#.#...#####.##.##.......#.####.####.#...####..##...###..#..##.##.#.....#...#.......#.#..#..#.#.####...####.####.#..#...#.###.#.....#.#...#####.##.##.......#.####.####.#...####..##...###..#..##.##.#.....#...#.......#.#..#..#.#.####...####.####.#..#...#.###.#.....#.#...#####.##.##.......#.####.####.#...####..##...###..#..##.##.#.....#...#.......#.#..#..#.#.####...####.####.#..#...#.###.#.....#.#...#####.##.##.......#.####.####.#...####..##...###..
####.#.#.#..##.#.#...##..#...#.##.#...#.#####...#....#.###..#...#...#..#.###..#.##...####.#.#.##.###....######...#.#...##.##.#..#.#.###.###.####...####....#..#..##.#.###...###..#.###.###.##...##.....#.##..#..###...#..###..#.......#####..#.#..#.#....####...##..#..##....##.#.##.#...#####..#######.#.#.##.##......##.##.####.#.#.#..###....#.##....###.#...#####.###.##....#..#.#.#....####...##..#..##....##.#.##.#...#####..#######.#.#.##.##......##.##.####.#.#.#..###....#.##....###.#...#####.###.##....#..#.#.#....####...##..#..##....##.#.##.#...#####..#######.#.#.##.##......##.##.####.#.#.#..###....#.##....###.#...#####.###.##....#..#.#.#....####...##..#..##....##.#.##.#...#####..#######.#.#.##.##......##.##.####.#.#.#..###....#.##....###.#...#####.###.##....#..#.#.#....####...##..#..##....##.#.##.#...#####..#######.#.#.##.##......##.##.####.#.#.#..###....#.##....###.#...#####.###.##....#..#.#.#....####...##..#..##....##.#.##.#...#####..#######.#.#.##.##......##.##.####.#.#.#..###....#.##....#
###.....#.#.####...#..#.....##....##...######.###.#.###..#.#.##.####.##..#.#######.#...#.#.#....#.##...#...##....#...####..#.#...##.#...#.##.###.#..#..#.....#.##....#..#.##..##.#########....#.##..#####..#.###.#...#.##..#...###.#.#.....####..#....##.####..##...#.########..##...##.#...#####...#.######.###.....#.#.######...##....##.######...####...#.#####.#.#.......#..#.#.#....##.####..##...#.########..##...##.#...#####...#.######.###.....#.#.######...##....##.######...####...#.#####.#.#.......#..#.#.#....##.####..##...#.########..##...##.#...#####...#.######.###.....#.#.######...##....##.######...####...#.#####.#.#.......#..#.#.#....##.####..##...#.########..##...##.#...#####...#.######.###.....#.#.######...##....##.######...####...#.#####.#.#.......#..#.#.#....##.####..##...#.########..##...##.#...#####...#.######.###.....#.#.######...##....##.######...####...#.#####.#.#.......#..#.#.#....##.####..##...#.########..##...##.#...#####...#.######.###.....#.#.######...##....##.######...####.
.###..##....#...###...#..#....#######.#.##..#..#...#..#..###.#...###...#####.##.##..#########.##..###.#.#.##.....#.###...#.#.##.#....##.#.###.####.##.....#..#..#..####.#.#.##..##.#..##...#..#...####...##..#..#....#...##..#..#.#.#.##.##.#.#.###....##.########..#####..##.........#.###.##.#.....####.###..####..###....##...##.#.#.#...#.#####..#..##......###...#...#.##....#.##....##.########..#####..##.........#.###.##.#.....####.###..####..###....##...##.#.#.#...#.#####..#..##......###...#...#.##....#.##....##.########..#####..##.........#.###.##.#.....####.###..####..###....##...##.#.#.#...#.#####..#..##......###...#...#.##....#.##....##.########..#####..##.........#.###.##.#.....####.###..####..###....##...##.#.#.#...#.#####..#..##......###...#...#.##....#.##....##.########..#####..##.........#.###.##.#.....####.###..####..###....##...##.#.#.#...#.#####..#..##......###...#...#.##....#.##....##.########..#####..##.........#.###.##.#.....####.###..####..###....##...##.#.#.#...#.#####..#..#
#.###.#..########.####.#.##..###.###.#.##...##.##########..#.#..#.#.#.##.#..##...###...#.##...#.####.##.#...##.....#......##..#.#.#####.####.#.#.##...##..##..###...#....#..#.#..#####..##..#####...#....####...#..###.####..######..##.#..###..###...##...#.#.###.##...####.###....#....#..#.#..#...#.#..#..#..##..#.##.......#.##..#..#.#.#..####..###.#..#.##.#.##..####...####.###...##...#.#.###.##...####.###....#....#..#.#..#...#.#..#..#..##..#.##.......#.##..#..#.#.#..####..###.#..#.##.#.##..####...####.###...##...#.#.###.##...####.###....#....#..#.#..#...#.#..#..#..##..#.##.......#.##..#..#.#.#..####..###.#..#.##.#.##..####...####.###...##...#.#.###.##...####.###....#....#..#.#..#...#.#..#..#..##..#.##.......#.##..#..#.#.#..####..###.#..#.##.#.##..####...####.###...##...#.#.###.##...####.###....#....#..#.#..#...#.#..#..#..##..#.##.......#.##..#..#.#.#..####..###.#..#.##.#.##..####...####.###...##...#.#.###.##...####.###....#....#..#.#..#...#.#..#..#..##..#.##.......#.##..#..#.#.#..####..###.
##...###.....#...##.#....##..#.###..##...#.....#..#..##.##.####.##.#.#.#..#..#.#...###.#...#####.#.#.####.....#.#.#..####.#.#.#.##.###..#.###.#.#.##..##.##..###..#...#..#..###.#.#....###.##..#####.###.###.###..##..#..###.......#.##...#..####.#####..####.#.#...#..#.#..###..##..######...#.#...#..##.##.###..#.#####.####.#..###..##.###..#.##.####.#....#..###.#....##.#..##.#.#####..####.#.#...#..#.#..###..##..######...#.#...#..##.##.###..#.#####.####.#..###..##.###..#.##.####.#....#..###.#....##.#..##.#.#####..####.#.#...#..#.#..###..##..######...#.#...#..##.##.###..#.#####.####.#..###..##.###..#.##.####.#....#..###.#....##.#..##.#.#####..####.#.#...#..#.#..###..##..######...#.#...#..##.##.###..#.#####.####.#..###..##.###..#.##.####.#....#..###.#....##.#..##.#.#####..####.#.#...#..#.#..###..##..######...#.#...#..##.##.###..#.#####.####.#..###..##.###..#.##.####.#....#..###.#....##.#..##.#.#####..####.#.#...#..#.#..###..##..######...#.#...#..##.##.###..#.#####.####.#..###..##.###..#.##.####.
###.##..###.#.###.###.#.#.##.##....###..#..#.####.#.#..#.######.#.#.###.....#...##..#..#...##....###.###..####.###.#...#.#....##.#.####...##...#..##.#...#.#.###.##.##.###.#.#...#..###.#####..#...####.#...####.#.#####.##.####.#.#####.#.#..###.##..#...#..##.####.#.##..#.#..#####.##........#.##.....#.#...###.##.###.###.#....##....#.......#..#...#..####....####.##..#.##...#.##..#...#..##.####.#.##..#.#..#####.##........#.##.....#.#...###.##.###.###.#....##....#.......#..#...#..####....####.##..#.##...#.##..#...#..##.####.#.##..#.#..#####.##........#.##.....#.#...###.##.###.###.#....##....#.......#..#...#..####....####.##..#.##...#.##..#...#..##.####.#.##..#.#..#####.##........#.##.....#.#...###.##.###.###.#....##....#.......#..#...#..####....####.##..#.##...#.##..#...#..##.####.#.##..#.#..#####.##........#.##.....#.#...###.##.###.###.#....##....#.......#..#...#..####....####.##..#.##...#.##..#...#..##.####.#.##..#.#..#####.##........#.##.....#.#...###.##.###.###.#....##....#.......#..#...#
#..###..###.....###.##....#....##...#..#.##.#......#.###..........##..#.#..#.###.##.#..#...###.#######.....##..#.####.##.....#.####..#...#..#..###..##.##.#..###..##.##..###..##...#....#.#.#.#.##.###...##.#.#..####...#.##.....##..##..#.#.##.....#...####..#.#...##.#.#.########.#..#..#..#...#.#..###..##..#.#..###.###.#....#.#.###.##.#..###.###..#.#.....#.#...#####..#.#####...#...####..#.#...##.#.#.########.#..#..#..#...#.#..###..##..#.#..###.###.#....#.#.###.##.#..###.###..#.#.....#.#...#####..#.#####...#...####..#.#...##.#.#.########.#..#..#..#...#.#..###..##..#.#..###.###.#....#.#.###.##.#..###.###..#.#.....#.#...#####..#.#####...#...####..#.#...##.#.#.########.#..#..#..#...#.#..###..##..#.#..###.###.#....#.#.###.##.#..###.###..#.#.....#.#...#####..#.#####...#...####..#.#...##.#.#.########.#..#..#..#...#.#..###..##..#.#..###.###.#....#.#.###.##.#..###.###..#.#.....#.#...#####..#.#####...#...####..#.#...##.#.#.########.#..#..#..#...#.#..###..##..#.#..###.###.#....#.#.###.##.#..###.###..#
.##...#.....#.##.#.....#..#.###.#.#..#..###..##.#..##..#.##.#...#......#..#.#.####...##..##.#..#..####....#.#.###............##.##.#####.###.#.###.....#.#.#..###..#.##..#.#####.#.#.#.###..#.#.#.....##..########.##....##..#.#...#.##.####..##....#.#.#..#..#.#..#...###.#.##.#####.##.##..##.####.#.###..#...#..###.#.###..####.....##.#.###..#..#...#..###..##..#...##.##.#####....#.#.#..#..#.#..#...###.#.##.#####.##.##..##.####.#.###..#...#..###.#.###..####.....##.#.###..#..#...#..###..##..#...##.##.#####....#.#.#..#..#.#..#...###.#.##.#####.##.##..##.####.#.###..#...#..###.#.###..####.....##.#.###..#..#...#..###..##..#...##.##.#####....#.#.#..#..#.#..#...###.#.##.#####.##.##..##.####.#.###..#...#..###.#.###..####.....##.#.###..#..#...#..###..##..#...##.##.#####....#.#.#..#..#.#..#...###.#.##.#####.##.##..##.####.#.###..#...#..###.#.###..####.....##.#.###..#..#...#..###..##..#...##.##.#####....#.#.#..#..#.#..#...###.#.##.#####.##.##..##.####.#.###..#...#..###.#.###..####.....##.#.###..#..#...#
..#########.##.......##......#...####..#...#.##...#.......#.....##.##...#....#...#..#.......#.#..##..#..##.###.###.#.#....##..###.###.#.##.....##.#.#..#.####.#.#.#.####..######..##..#.##.#.##.#..###..###.#.#.#####.###.###.#..##.#.#.###.....#...#.##....###..#.#.##.#..#.###.....#...#..##..###..#......###.##......#..##..#.#.#######.#....#.###.##.##.###...#.###.##...#...#.....#.##....###..#.#.##.#..#.###.....#...#..##..###..#......###.##......#..##..#.#.#######.#....#.###.##.##.###...#.###.##...#...#.....#.##....###..#.#.##.#..#.###.....#...#..##..###..#......###.##......#..##..#.#.#######.#....#.###.##.##.###...#.###.##...#...#.....#.##....###..#.#.##.#..#.###.....#...#..##..###..#......###.##......#..##..#.#.#######.#....#.###.##.##.###...#.###.##...#...#.....#.##....###..#.#.##.#..#.###.....#...#..##..###..#......###.##......#..##..#.#.#######.#....#.###.##.##.###...#.###.##...#...#.....#.##....###..#.#.##.#..#.###.....#...#..##..###..#......###.##......#..##..#.#.#######.#....#.###.##.
....#####.#.#...###...#......#....#.##.##.#.####..#.#.##.#.#.##.#...##.##..#...####.##.##...#.##.########..##..#..##...##.##.#....##.#.##.#.##.####....#.....#.#.#.###..##.##..#..#.####.####.####.#.####....#.##..##.....#.####.#.######....#.#.#......###..#.#.#.##.####.####.####.##.#.###.#.###.##.#.####.##.##.#.##..###.##..##..#.....###.##.#..#.##..##.###.....####...#.#####......###..###.#.##.####.####.####.##.#.###.#.###.##.#.####.##.##.#.##..###.##..##..#.....###.##.#..#.##..##.###.....####...#.#####......###..#.#.#.##.####.####.####.##.#.###.#.###.##.#.####.##.##.#.##..###.##..##..#.....###.##.#..#.##..##.###.....####...#.#####......###..#.#.#.##.####.####.####.##.#.###.#.###.##.#.####.##.##.#.##..###.##..##..#.....###.##.#..#.##..##.###.....####...#.#####......###..#.#.#.##.####.####.####.##.#.###.#.###.##.#.####.##.##.#.##..###.##..##..#.....###.##.#..#.##..##.###.....####...#.#####......###..#.#.#.##.####.####.####.##.#.###.#.###.##.#.####.##.##.#.##..###.##..##..#.....###.##.#..#.#
.######..##.##..###..##.###.###....#.#.....##.....#..##.#.#...##.#...#.....####.##.#####..#..#.#..#.#..##.#.##..#.####..#...#...#..##..##.....###..##.#.##..#...###.#.###.#....##.##.#..##..#.####.#.....#......#...#####.#.##...##.#####.....###..#.##...##.....#..#.###..#.###..#####.#.#..#...##...#.#...#######...#.##.#####..#.#.###.#.#####....###..#####...#.####.#..#.#.......#.##...##.....#..#.###..#.###..#####.#.#..#...##...#.#...#######...#.##.#####..#.#.###.#.#####....###..#####...#.####.#..#.#.......#.##...##.....#..#.###..#.###..#####.#.#..#...##...#.#...#######...#.##.#####..#.#.###.#.#####....###..#####...#.####.#..#.#.......#.##...##.....#..#.###..#.###..#####.#.#..#...##...#.#...#######...#.##.#####..#.#.###.#.#####....###..#####...#.####.#..#.#.......#.##...##.....#..#.###..#.###..#####.#.#..#...##...#.#...#######...#.##.#####..#.#.###.#.#####....###..#####...#.####.#..#.#.......#.##...##.....#..#.###..#.###..#####.#.#..#...##...#.#...#######...#.##.#####..#.#.###.#.#####....###.
#...#..#.####.#######.#########.#..#...###.#.#.#.#.##...###...........#....####.#...#.....###.##..#..#.##.#..###.##..##.....###..#...##..#.###.#.###.#...#......#.##...##..##....##..#.##.#..#........#..###...#..#...##..#...###...##..#..#####..###.#..##.#...######.###........###..#..#.#.#..###.##.##....###.#.###....#.#.#.###...###..##....#...##.....#..#...#..###.####...##.###.#..##.#...######.###........###..#..#.#.#..###.##.##....###.#.###....#.#.#.###...###..##....#...##.....#..#...#..###.####...##.###.#..##.#...######.###........###..#..#.#.#..###.##.##....###.#.###....#.#.#.###...###..##....#...##.....#..#...#..###.####...##.###.#..##.#...######.###........###..#..#.#.#..###.##.##....###.#.###....#.#.#.###...###..##....#...##.....#..#...#..###.####...##.###.#..##.#...######.###........###..#..#.#.#..###.##.##....###.#.###....#.#.#.###...###..##....#...##.....#..#...#..###.####...##.###.#..##.#...######.###........###..#..#.#.#..###.##.##....###.#.###....#.#.#.###...###..##....#...##.
#....#....###......#....#..#.#..#.#.###..#...###.###.#...##..#.###.###...#.##..#.....###...#.##..#....#....###....##....#.###.##.....#.###.###..#...###..##.#...###....#......#.#.##..#..##.#..#...##..#.....##.##.##..#.#....##..##.#######...#.##.##.#........#.###.#.###.####..##......#.#####..#...####.###...#..#..#.###...##.#..#.##.#...####.####.#.#####.##.##.###.###..###.##.##.#........#.###.#.###.####..##......#.#####..#...####.###...#..#..#.###...##.#..#.##.#...####.####.#.#####.##.##.###.###..###.##.##.#........#.###.#.###.####..##......#.#####..#...####.###...#..#..#.###...##.#..#.##.#...####.####.#.#####.##.##.###.###..###.##.##.#........#.###.#.###.####..##......#.#####..#...####.###...#..#..#.###...##.#..#.##.#...####.####.#.#####.##.##.###.###..###.##.##.#........#.###.#.###.####..##......#.#####..#...####.###...#..#..#.###...##.#..#.##.#...####.####.#.#####.##.##.###.###..###.##.##.#........#.###.#.###.####..##......#.#####..#...####.###...#..#..#.###...##.#..#.##.#...####.####.
##.###.#.###.###...###.##...##...##.......#..#.#.#...#.#.###.#.#.#..#....#...#.#.#..#..#...#.#.####.....#.##.######.#.####..#...##..#.#####....#####.#.##...##.....#.##.#.####.#.#....###.#..#.....#...##.##...#.##.##..#.....###.#.##.##.##..###.##..#.#....##..#.#.###....#...#.####.#...#......#.######.#...#..##.###.#..#.##.#.##.##..#.######.##.##..#..#.###.#..#.#####....##..##..#.#....##..#.#.###....#...#.####.#...#......#.######.#...#..##.###.#..#.##.#.##.##..#.######.##.##..#..#.###.#..#.#####....##..##..#.#....##..#.#.###....#...#.####.#...#......#.######.#...#..##.###.#..#.##.#.##.##..#.######.##.##..#..#.###.#..#.#####....##..##..#.#....##..#.#.###....#...#.####.#...#......#.######.#...#..##.###.#..#.##.#.##.##..#.######.##.##..#..#.###.#..#.#####....##..##..#.#....##..#.#.###....#...#.####.#...#......#.######.#...#..##.###.#..#.##.#.##.##..#.######.##.##..#..#.###.#..#.#####....##..##..#.#....##..#.#.###....#...#.####.#...#......#.######.#...#..##.###.#..#.##.#.##.##..#.######.##.##.
#####..#.#.#####..#####....#..##.##..###..##..#.##.###.##.#..######.#..#..##.#.#.#.......#...#.##.####...#.#..#......#.#########..#..#.#######.....#####...####.######.#....##..##.#.#......###.##.##...#..#....#.###..#..#.##.#.#..##....##.###..#####...#..##.###..####.####....#..#...#..#..#...###.##.##..#..#...#..########.#.##.#.##...#.#.#########.#.#.##.#..#.##.##....#.##.###.#...#..##.###..####.####....#..#...#..#..#...###.##.##..#..#...#..########.#.##.#.##...#.#.#########.#.#.##.#..#.##.##....#.##.###.#...#..##.###..####.####....#..#...#..#..#...###.##.##..#..#...#..########.#.##.#.##...#.#.#########.#.#.##.#..#.##.##....#.##.###.#...#..##.###..####.####...##..#...#..#..#...###.##.##..#..#...#..########.#.##.#.##...#.#.#########.#.#.##.#..#.##.##....#.##.###.#...#..##.###..####.####....#..#...#..#..#...###.##.##..#..#...#..########.#.##.#.##...#.#.#########.#.#.##.#..#.##.##....#.##.###.#...#..##.###..####.####....#..#...#..#..#...###.##.##..#..#...#..########.#.##.#.##...#.#.########
#...#.#######.#.###.##..#...#..######.###..#..###..#....#####.#.#..#.###..##.###...###.###.####.#........#..#..#######.##.#..#######..##...#.#.#.##.##.#.#...#.##....####.##..#.##...#.#.###.....##...#.......#.....#..#####...#.##..#..##...#..#.#..##.#..#...#...#..#..###...######.###...#......#.##..###.#.#...####.#..##...####....#.####.###.##..#.##..#...###.#.###.#..##.##..#..##.#..#...#...#..#..###...######.###...#......#.##..###.#.#...####.#..##...####....#.####.###.##..#.##..#...###.#.###.#..##.##..#..##.#..#...#...#..#..###...######.###...#......#.##..###.#.#...####.#..##...####....#.####.###.##..#.##..#...###.#.###.#..##.##..#..##.#..#...#...#..#..###...######.###...#......#.##..###.#.#...####.#..##...####....#.####.###.##..#.##..#...###.#.###.#..##.##..#..##.#..#...#...#..#..###...######.###...#......#.##..###.#.#...####.#..##...####....#.####.###.##..#.##..#...###.#.###.#..##.##..#..##.#..#...#...#..#..###...######.###...#......#.##..###.#.#...####.#..##...####....#.####.###.##..#.
#.#..#####.##..###.#.#.##.#......##..#......#.#..#.#..##..#.#.##..#.##.###.####.###...######.###..##..#.#####...#..#.#..#.....#...###...#.#.##.#.......##.#..#..#.....#.#.#..#.##.#..#...#.###......#..###....########.##......#..#........#...###.#.#.###.#...##...#..##..#..#....#.##.######.##..##.....#...###.#.....#.#..#.#..#...#..#.#.....###......#..#...##.#...#.##.##..####.#.#.###.#...##...#..##..#..#....#.##.######.##..##.....#...###.#.....#.#..#.#..#...#..#.#.....###......#..#...##.#...#.##.##..####.#.#.###.#...##...#..##..#..#....#.##.######.##..##.....#...###.#.....#.#..#.#..#...#..#.#.....###......#..#...##.#...#.##.##..####.#.#.###.#...##...#..##..#..#....#.##.######.##..##.....#...###.#.....#.#..#.#..#...#..#.#.....###......#..#...##.#...#.##.##..####.#.#.###.#...##...#..##..#..#....#.##.######.##..##.....#...###.#.....#.#..#.#..#...#..#.#.....###......#..#...##.#...#.##.##..####.#.#.###.#...##...#..##..#..#....#.##.######.##..##.....#...###.#.....#.#..#.#..#...#..#.#.....###.....
.###...###.#.##.#.##.#####.#..#.#...#.##..#####..#....####..##.#.###....##..#######.###..#.##.##.#..##..#.....#..######.####.#.#...##..##...##.##..##........#..##.........#..##....#.###...##..#.####.#....#.####.##.##.##..#..###.####....###.#.#.###......###.#......###.#.###.#.#..##.#....###...##....#.#..##.##.#..#.###..#.....##....#.#.#....####.###....##.##..#.#####.#..#.#.###......###.#......###.#.###.#.#..##.#....###...##....#.#..##.##.#..#.###..#.....##....#.#.#....####.###....##.##..#.#####.#..#.#.###......###.#......###.#.###.#.#..##.#....###...##....#.#..##.##.#..#.###..#.....##....#.#.#....####.###....##.##..#.#####.#..#.#.###......###.#......###.#.###.#.#..##.#....###...##....#.#..##.##.#..#.###..#.....##....#.#.#....####.###....##.##..#.#####.#..#.#.###......###.#......###.#.###.#.#..##.#....###...##....#.#..##.##.#..#.###..#.....##....#.#.#....####.###....##.##..#.#####.#..#.#.###......###.#......###.#.###.#.#..##.#....###...##....#.#..##.##.#..#.###..#.....##....#.#.#....####
..#.#..#..#..#.#..#...#..#...####...#..##..####..##....###.###...#...#..###.##.##..###...###..#.#######..#.#.#..##.#..#.#..#.##.####.###..#..###...###..##.....###.#.#.##.#.#.#.###.###.....###.#.#.#.##..#.#.##...#....#.#..###.#..##..#...#.#.##...#...###...#.####.....####.##....##.###...###..##.#####..##....##....##..#.##.#.#.#..##.##....##...#.......##.#..#.#.....##.#.###...#...###...#.####.....####.##....##.###...###..##.#####..##....##....##..#.##.#.#.#..##.##....##...#.......##.#..#.#.....####.###...#...###...#.####.....####.##....##.###...###..##.#####..##....##....##..#.##.#.#.#..##.##....##...#.......##.#..#.#.....##.#.###...#...###...#.####.....####.##....##.###...###..##.#####..##....##....##..#.##.#.#.#..##.##....##...#.......##.#..#.#.....##.#.###...#...###...#.####.....####.##....##.###...###..##.#####..##....##....##..#.##.#.#.#..##.##....##...#.......##.#..#.#.....##.#.###...#...###...#.####.....####.##....##.###...###..##.#####..##....##....##..#.##.#.#.#..##.##....##...#.
#####..##.#.##....#.######......#.#....##....##.###.#..#...##.##.#.#.#....##..###.#.##.#....#.#....##..###.#.##.#.##.#..###..##..#.#..##.##.##########...#.#...##..###...#..#...#.#.#...#.##.#..####.#..#.#..#..#.#....#......#.#.##..#..#.##.##.#####.##.#######....#.########...#.#.###.###...#.##....#.##....######..#........#.###.#..#...#.....####..##.##...####.##..#.....#.######.##.#######....#.########...#.#.###.###...#.##....#.##....######..#........#.###.#..#...#.....####..##.##...####.##..#.....#.######.##.#######....#.########...#.#.###.###...#.##....#.##....######..#........#.###.#..#...#.....####..##.##...####.##..#.....#.######.##.#######....#.########...#.#.###.###...#.##....#.##....######..#........#.###.#..#...#.....####..##.##...####.##..#.....#.######.##.#######....#.########...#.#.###.###...#.##....#.##....######..#........#.###.#..#...#.....####..##.##...####.##..#.....#.######.##.#######....#.########...#.#.###.###...#.##....#.##....######..#........#.###.#..#...#.....####.
.###...###....###.#.##..#.#.##.#.#.#####........#..#...#####.#...####.#......#.###..#......##.#...##..###.###......#..#.##.##..#..####..###.#.##.....##.#######.#...###.#....#..###.#.###.######.#.#.######..##.#.#.#.....#...#.#.##.#.#...#.#.#......#.#.####..#######...###.###.##.#.#.....#..#..#....##.#.###.##.....#.#.#####..........#.##.######.##.####......#.#.##..#.#.##.......#.#.####..#######...###.###.##.#.#.....#..#..#....##.#.###.##.....#.#.#####..........#.##.######.##.####......#.#.##..#.#.##.......#.#.####..#######...###.###.##.#.#.....#..#..#....##.#.###.##.....#.#.#####..........#.##.######.##.####......#.#.##..#.#.##.......#.#.####..#######...###.###.##.#.#.....#..#..#....##.#.###.##.....#.#.#####..........#.##.######.##.####......#.#.##..#.#.##.......#.#.####..#######...###.###.##.#.#.....#..#..#....##.#.###.##.....#.#.#####..........#.##.######.##.####......#.#.##..#.#.##.......#.#.####..#######...###.###.##.#.#.....#..#..#....##.#.###.##.....#.#.#####..........#.##.######.##
##..#.....#..#.##.###.#.........####.#....#.#..#.###.#....###.#.########.#.##..##.####..#.##.###..#.#####..##.##..#.#####.###.#####..#....#####..##...##.#.#####.#..##.#.###.##..#.#..#.#....#.#.##.#......##.#.###.#..######...##.#..####..#.#...#######..#.....##..##......#..#.#........#.......##....#.....#...#.#.##..##.###....###...#..........##.##.....#.##.##...#....#.##..#######..#.....##..##......#..#.#........#.......##....#.....#...#.#.##..##.###....###...#..........##.##.....#.##.##...#....#.##..#######..#.....##..##......#..#.#........#.......##....#.....#...#.#.##..##.###....###...#..........##.##.....#.##.##...#....#.##..#######..#.....##..##......#..#.#........#.......##....#.....#...#.#.##..##.###....###...#..........##.##.....#.##.##...#....#.##..#######..#.....##..##......#..#.#........#.......##....#.....#...#.#.##..##.###....###...#..........##.##.....#.##.##...#....#.##..#######..#.....##..##......#..#.#........#.......##....#.....#...#.#.##..##.###....###...#..........##.
####.#...##.#..#....#...####.##.##....#.##..#.####..########...#.##.....###..##.#.##.#.####......#.##.#..#...#.#.##...#.#.#.#.#.....####..###.#####...#...##......####..###...#..####.#..#####.##.#.#.#.#..##.#####...#..#.##.#####.#####.###....#.#..#.##.#.##.##....##.###...##.##..###...#.....###.#...###......###.#.##....##..#.#.#.##........#.###..####..##.#.##.##.#...#..#.#.#..#.##.#.##.##....##.###...##.##..###...#.....###.#...###......###.#.##....##..#.#.#.##........#.###..####..##.#.##.##.#...#..#.#.#..#.##.#.##.##....##.###...##.##..###...#.....###.#...###......###.#.##....##..#.#.#.##........#.###..####..##.#.##.##.#...#..#.#.#..#.##.#.##.##....##.###...##.##..###...#.....###.#...###......###.#.##....##..#.#.#.##........#.###..####..##.#.##.##.#...#..#.#.#..#.##.#.##.##....##.###...##.##..###...#.....###.#...###......###.#.##....##..#.#.#.##........#.###..####..##.#.##.##.#...#..#.#.#..#.##.#.##.##....##.###...##.##..###...#.....###.#...###......###.#.##....##..#.#.#.##........#.###.
..#..##..#.##.##..#...#####.#..#.....##.##.##...###..#..#...###.###.##.#....##.#.#.####..#####....#.##...###############.##.##..##.###.#..###.####.######.....##..#....#.......#.#..#....####.###...###.#..###.###.###.##...###.###.#.#..###..#.#...####.#.##.#.#.##########.#.####.#.###..##.#.####..###....#..##.#.#.###.#....##.######.###....####.#......#...#.##..#....#.####.....####.#.##.#.#.##########.#.####.#.###..##.#.####..###....#..##.#.#.###.#....##.######.###....####.#......#...#.##..#......####.....####.#.##.#.#.##########.#.####.#.###..##.#.####..###....#..##.#.#.###.#....##.######.###....####.#......#...#.##..#......####.....####.#.##.#.#.##########.#.####.#.###..##.#.####..###....#..##.#.#.###.#....##.######.###....####.#......#...#.##..#......####.....####.#.##.#.#.##########.#.####.#.###..##.#.####..###....#..##.#.#.###.#....##.######.###....####.#......#...#.##..#......####.....####.#.##.#.#.##########.#.####.#.###..##.#.####..###....#..##.#.#.###.#....##.######.###....####.#..
#..##..###..###.#..#..#....#...#.####.#..#.##.####.#..#.####.#....#..#.#...####.#..#.##.####.####...#..#..##.#..###.###.#.##..####..###...#..###..####.###.#.....#.#...#.###.#####..##....#...##.##.####.......##.####.##.#.#.##.#.#.#.#.###.#####.##.#.#..#.#..##..#.#...#..#..###..######.######.#...##..####.##..#.##...#.####..##.#...#....#.##.#.....#......#.###.####.#.#....##.##.#.#..#.#..##..#.#...#..#..###..######.######.#...##..####.##..#.##...#.####..##.#...#....#.##.#.....#......#.###.####.#.#....##.##.#.#..#.#..##..#.#...#..#..###..######.######.#...##..####.##..#.##...#.####..##.#...#....#.##.#.....#......#.###.####.#.#....##.##.#.#..#.#..##..#.#...#..#..###..######.######.#...##..####.##..#.##...#.####..##.#...#....#.##.#.....#......#.###.####.#.#....##.##.#.#..#.#..##..#.#...#..#..###..######.######.#...##..####.##..#.##...#.####..##.#...#....#.##.#.....#......#.###.####.#.#....##.##.#.#..#.#..##..#.#...#..#..###..######.######.#...##..####.##..#.##...#.####..##.#...#....#.##.#....
##..##.#..#..#####.#..#...#.......#...#.#..##.####.##.#.####.##....####...#....#..##....##..#.#...##.#.#...####.###..#...#...##.#.###.##..##.#...#.#..###.##....##.#.##...##..####..##.#..###.#.#...##.####...#..###..###...###..#...#####..#.##...#.##..#.##.##.#...##.#...##.###.##....#..#.##..#.##.####.#.......###..###.##.##..##..##...#.#.###.#.#...#.###..#####..###...#.#.#..#.##..#.##.##.#...##.#...##.###.##....#..#.##..#.##.####.#.......###..###.##.##..##..##...#.#.###.#.#...#.###..#####..###...#.#.#..#.##..#.##.##.#...##.#...##.###.##....#..#.##..#.##.####.#.......###..###.##.##..##..##...#.#.###.#.#...#.###..#####..###...#.#.#..#.##..#.##.##.#...##.#...##.###.##....#..#.##..#.##.####.#.......###..###.##.##..##..##...#.#.###.#.#...#.###..#####..###...#.#.#..#.##..#.##.##.#...##.#...##.###.##....#..#.##..#.##.####.#.......###..###.##.##..##..##...#.#.###.#.#...#.###..#####..###...#.#.#..#.##..#.##.##.#...##.#...##.###.##....#..#.##..#.##.####.#.......###..###.##.##..##..##...#.#.###.#.#.
....#..#.##.##.#.#..#..#..##..#.######.####...##.#...#..##.#.##.#.##.#.#########.##.##..#..##.#..##...#..##.....#.#.#######.##.#.#.#.#..#..##...#.#..##.#.##.##...###.###.#.....#..#..#...#..###.#.###...#..#...#.##.#.#.......#.#.....#....#.#..#......########..####.###.#####.#####...###.##..#...####..#.#...##.#..#.#.....##.#..#.##.##.#...#.#.#.#.##.####.#..#...########.##.#......########..####.###.#####.#####...###.##..#...####..#.#...##.#..#.#.....##.#..#.##.##.#...#.#.#.#.##.####.#..#...########.##.#......########..####.###.#####.#####...###.##..#...####..#.#...##.#..#.#.....##.#..#.##.##.#...#.#.#.#.##.####.#..#...########.##.#......########..####.###.#####.#####...###.##..#...####..#.#...##.#..#.#.....##.#..#.##.##.#...#.#.#.#.##.####.#..#...########.##.#......########..####.###.#####.#####...###.##..#...####..#.#...##.#..#.#.....##.#..#.##.##.#...#.#.#.#.##.####.#..#...########.##.#......########..####.###.#####.#####...###.##..#...####..#.#...##.#..#.#.....##.#..#.##.##.#...#.#.#.#.
.###.###.#.#..#..###...##.#.#..#...#.##.##...#..##..#.##.#..##.####......#.##.#..#..#.###....#...##.....##...#.#..#...#.#.###..##....##.##...#.##....#..##..#...#...##..###........####....####...#.##.##.######..###..##.##..##.##.##.##.#..#.##.#..#.#.#.#.#.#.##.....#.#..######.##..####......#.....#.#.###.#####..#.#..####..##...#.#.####.#..#.#..#..##..####.#...#....##.###..#..#.#.#.#.#.#.##.....#.#..######.##..####......#.....#.#.###.#####..#.#..####..##...#.#.####.#..#.#..#..##..####.#...#....##.###..#..#.#.#.#.#.#.##.....#.#..######.##..####......#.....#.#.###.#####..#.#..####..##...#.#.####.#..#.#..#..##..####.#...#....##.###..#..#.#.#.#.#.#.##.....#.#..######.##..####......#.....#.#.###.#####..#.#..####..##...#.#.####.#..#.#..#..##..####.#...#....##.###..#..#.#.#.#.#.#.##.....#.#..######.##..####......#.....#.#.###.#####..#.#..####..##...#.#.####.#..#.#..#..##..####.#...#....##.###..#..#.#.#.#.#.#.##.....#.#..######.##..####......#.....#.#.###.#####..#.#..####..##...#.#.####.#..#.#..#
.####.#.##..###..##.##.##...#.#.#.#.....#.###...##..#.###....#.##.#.#####..##.###.#.##..##.#..#.##..#...#..#.###..#..#..#...#..##.###..#....##..####.#...####..#..###......#.#.#.##.#..#####.#.###.#..#.#.#.....####.##.##.#.##.#.....#...#..##.###.###.####.#.###.##.#####..###.##...###.###.#.....#.#...#..##...###..#....###..#####.#......####.######.##...#.#..#..#.##.###..#.###.###.####.#.###.##.#####..###.##...###.###.#.....#.#...#..##...###..#....###..#####.#......####.######.##...#.#..#..#.##.###..#.###.###.####.#.###.##.#####..###.##...###.###.#.....#.#...#..##...###..#....###..#####.#......####.######.##...#.#..#..#.##.###..#.###.###.####.#.###.##.#####..###.##...###.###.#.....#.#...#..##...###..#....###..#####.#......####.######.##...#.#..#..#.##.###..#.###.###.####.#.###.##.#####..###.##...###.###.#.....#.#...#..##...###..#....###..#####.#......####.######.##...#.#..#..#.##.###..#.###.###.####.#.###.##.#####..###.##...###.###.#.....#.#...#..##...###..#....###..#####.#......####.######
#....#...####..##..##..##.#...#..#....#...#....###....#.##.#..##.##.##.#...#.#.........#.##.#..#..#...##.#.###..###.#.#...#.##.#.###..###.#.#.....##.#.###.##...##.#..#.##.##..#..####..#..##.#.#....####......##..#.#####..##.......#..##..#.###.####.###..###....##..###...#.#.#.#####.#.#.##.##.####......#.....##.###....#.#.##....###.#..##.####.##.###.#.####.##..#.###..#..##.####.###..###....##..###...#.#.#.#####.#.#.##.##.####......#.....##.###....#.#.##....###.#..##.####.##.###.#.####.##..#.###..#..##.####.###..###....##..###...#.#.#.#####.#.#.##.##.####......#.....##.###....#.#.##....###.#..##.####.##.###.#.####.##..#.###..#..##.####.###..###....##..###...#.#.#.#####.#.#.##.##.####......#.....##.###....#.#.##....###.#..##.####.##.###.#.####.##..#.###..#..##.####.###..###....##..###...#.#.#.#####.#.#.##.##.####......#.....##.###....#.#.##....###.#..##.####.##.###.#.####.##..#.###..#..##.####.###..###....##..###...#.#.#.#####.#.#.##.##.####......#.....##.###....#.#.##....###.#..##.####.##.
#..###......#.#.#.####.#..##...#......###..#..#..#..#####....#.#...####...#.#.#...##.###..##.#.##.......#.##.##.#....#..##.##..#.##.#..#..###.###.#..####....#......##.#.#..#.##.#.##.#.##.####.##...#..###..######.#.#.#..#########.#.....####.##.###.##..#....####.###..#..##.#..#..#.##.#.##.......#######.........#.#.#..##.#####.######...#.######.#.#.......##......#.#..###.##.###.##..#....####.###..#..##.#..#..#.##.#.##.......#######.........#.#.#..##.#####.######...#.######.#.#.......##......#.#..###.##.###.##..#....####.###..#..##.#..#..#.##.#.##.......#######.........#.#.#..##.#####.######...#.######.#.#.......##......#.#..###.##.###.##..#....####.###..#..##.#..#..#.##.#.##.......#######.........#.#.#..##.#####.######...#.######.#.#.......##......#.#..###.##.###.##..#....####.###..#..##.#..#..#.##.#.##.......#######.........#.#.#..##.#####.######...#.######.#.#.......##......#.#..###.##.###.##..#....####.###..#..##.#..#..#.##.#.##.......#######.........#.#.#..##.#####.######...#.######.#
#..#..#.#.#.##.....##..###.#.......##.#.####..#########.##.#####.#...#.##.#..##..###..#.#..#..##.#.#.####.........#..##.##.##.##..#.##..###..#.#.##....#.#.#..##..#..##..#.##.##.####.##.#.####.##.###.....###.....#..#....####.##..##.#...#.......###..###.##.###..#.####....#.#.##.#..#...#..#...#.#.#.#.#..###.#..#.#.#...#.###...#.####.....#.#..##...##..#..#....#.####.#..####..###..###.##.###..#.####....#.#.##.#..#...#..#...#.#.#.#.#..###.#..#.#.#...#.###...#.####.....#.#..##...##..#..#....#.####.#..####..###..###.##.###..#.####....#.#.##.#..#...#..#...#.#.#.#.#..###.#..#.#.#...#.###...#.####.....#.#..##...##..#..#....#.####.#..####..###..###.##.###..#.####....#.#.##.#..#...#..#...#.#.#.#.#..###.#..#.#.#...#.###...#.####.....#.#..##...##..#..#....#.####.#..####..###..###.##.###..#.####....#.#.##.#..#...#..#...#.#.#.#.#..###.#..#.#.#...#.###...#.####.....#.#..##...##..#..#....#.####.#..####..###..###.##.###..#.####....#.#.##.#..#...#..#...#.#.#.#.#..###.#..#.#.#...#.###...#.####.....#.#..##..
#.##.#....#....######.####...#...##.#.###...###..###...#.##.#.#.###...#.#.##...#..##.####.#.######.#.#.#.#..#..#..#....#..######.#...###.##.##.#.#.#.#.#..####....#.######.#..##.####.......#..##.##.#.##.#.#.#####..########..#.#..#....##.#...#..#.#.#.#.#####..##....#..#...#....#...#.######..#...###...#.##.##.######.#..#.###.#.###..###.....#########.##.##.###.##....#...#....#.#.#.#.#####..##....#..#...#....#...#.######..#...###...#.##.##.######.#..#.###.#.###..###.....#########.##.##.###.##....#...#....#.#.#.#.#####..##....#..#...#....#...#.######..#...###...#.##.##.######.#..#.###.#.###..###.....#########.##.##.###.##....#...#....#.#.#.#.#####..##....#..#...#....#...#.######..#...###...#.##.##.######.#..#.###.#.###..###.....#########.##.##.###.##....#...#....#.#.#.#.#####..##....#..#...#....#...#.######..#...###...#.##.##.######.#..#.###.#.###..###.....#########.##.##.###.##....#...#....#.#.#.#.#####..##....#..#...#....#...#.######..#...###...#.##.##.######.#..#.###.#.###..###.....######
###..###..#...###..#.#.#.#..##.....###.##..#.###.#.##...#.##...#...##..#.###.....#....#..#....##.#.#.#...###...#.#.#....#.#..###...#..#.#...#...#####.#..#..###..#.#....#.####....#.#..#####....#.###.######..##.##.##.#...#..##....##.....#..#####..#..#..#...#..##.##..####...#..#.##.#.###.###..##.#....##..#.##...##..######...#....#.#.#.##.#...##.##.##..##.###..##..#...##..###..#..#..#...#..##.##..####...#..#.##.#.###.###..##.#....##..#.##...##..######...#....#.#.#.##.#...##.##.##..##.###..##..#...##..###..#..#..#...#..##.##..####...#..#.##.#.###.###..##.#....##..#.##...##..######...#....#.#.#.##.#...##.##.##..##.###..##..#...##..###..#..#..#...#..##.##..####...#..#.##.#.###.###..##.#....##..#.##...##..######...#....#.#.#.##.#...##.##.##..##.####.##..#...##..###..#..#..#...#..##.##..####...#..#.##.#.###.###..##.#....##..#.##...##..######...#....#.#.#.##.#...##.##.##..##.###..##..#...##..###..#..#..#...#..##.##..####...#..#.##.#.###.###..##.#....##..#.##...##..######...#....#.#.#.##.#...##.#
..##.#..##.###.....#...##..##..#.#####.##.##.##.....###.##..##..#.##.##...#..#...#.##...##.##.#..###.#...##.#.##.#..#...##..###.####...##..##.###.#.#.#..#...........#...#.##...#..##..#.####.#..##....##.....##.#..#..##.##....##.#..#..###.##.#.#..#...#.#.#.##.#.####..#..#.##.#..##.###......#...#.#.##.#.#..##.#####..#..#######......#.#.#..##.##..####.####..#..#....#.##...#.#..#...#.#.#.##.#.####..#..#.##.#..##.###......#...#.#.##.#.#..##.#####..#..#######......#.#.#..##.##..####.####..#..#....#.##...#.#..#...#.#.#.##.#.####..#..#.##.#..##.###......#...#.#.##.#.#..##.#####..#..#######......#.#.#..##.##..####.####..#..#....#.##...#.#..#...#.#.#.##.#.####..#..#.##.#..##.###......#...#.#.##.#.#..##.#####..#..#######......#.#.#..##.##..####.####..#..#....#.##...#.#..#...#.#.#.##.#.####..#..#.##.#..##.###......#...#.#.##.#.#..##.#####..#..#######......#.#.#..##.##..####.####..#..#....#.##...#.#..#...#.#.#.##.#.####..#..#.##.#..##.###......#...#.#.##.#.#..##.#####..#..#######......#.#.#..##.##..
#####..#######.##.#.######...######.####..#..##.###...#..##.##.#...##...#..#.##.....#.#..####.#.#.#.#..###..###.#.##.##..#.#.#..####..#..#..##..##..#....##..###.####........###...##....#.#....#.#.##..###..##.#.##.#...##.#.#...#...#.#.#.#.#.##.###.##.....##..#.##....##.###.##.##....#.#.#.#.#..#..#...####..#.####.#..#.####.##.#.####.#..##.##..#.#....#####...#.#.#...#..####.###.##.....##..#.##....##.###.##.##....#.#.#.#.#..#..#...####..#.####.#..#.####.##.#.####.#..##.##..#.#....#####...#.#.#...#..####.###.##.....##..#.##....##.###.##.##....#.#.#.#.#..#..#...####..#.####.#..#.####.##.#.####.#..##.##..#.#....#####...#.#.#...#..####.###.##.....##..#.##....##.###.##.##....#.#.#.#.#..#..#...####..#.####.#..#.####.##.#.####.#..##.##..#.#....#####...#.#.#...#..####.###.##.....##..#.##....##.###.##.##....#.#.#.#.#..#..#...####..#.####.#..#.####.##.#.####.#..##.##..#.#....#####...#.#.#...#..####.###.##.....##..#.##....##.###.##.##....#.#.#.#.#..#..#...####..#.####.#..#.####.##.#.####.#..##.##..#.
.#.###.#...##.###.#.#..#..#..#....#.#...#######..###..#.#..##...#.#.#...##..#...###...#.#.#####.##...##......##..##..#.....#..#..######.#.....##.#..####..##.#.#.#....#..#.#.#...###...#.####.#####.#.#....#.#.#.#......##..##.#..###.#.#...#..#...#....##.##.##..#..#.###...#.#..####..#....#####.....#####..###...##.#.##.#.##.#.#.#####.#......##.##.##.#..##..###........#.#.#.#..#....##.##.##..#..#.###...#.#..####..#....#####.....#####..###...##.#.##.#.##.#.#.#####.#......##.##.##.#..##..###........#.#.#.#..#....##.##.##..#..#.###...#.#..####..#....#####.....#####..###...##.#.##.#.##.#.#.#####.#......##.##.##.#..##..###........#.#.#.#..#....##.##.##..#..#.###...#.#..####..#....#####.....#####..###...##.#.##.#.##.#.#.#####.#......##.##.##.#..##..###........#.#.#.#..#....##.##.##..#..#.###...#.#..####..#....#####.....#####..###...##.#.##.#.##.#.#.#####.#......##.##.##.#..##..###........#.#.#.#..#....##.##.##..#..#.###...#.#..####..#....#####.....#####..###...##.#.##.#.##.#.#.#####.#......##.##.#
.##..#.##..###..##.###...###.####.###...##...####.##..#.###.###.#..#.####.##.#...##.#..#.##..#####..#..####.##....#...#..#..#..###.#.##.##.#.#.##.##.#....##.#.........#.###..#..#..######..#..#.#.#.###.###.#..##...##..###.##.###.#.#.#...##.......#....#########.#..#######..#..##.#..#..#..#....#.#.##.##.#..#.#..##...#.......#.##.#..####...#.#...#.#.###..#...###.#..#.#.##......#....#########.#..#######..#..##.#..#..#..#....#.#.##.##.#..#.#..##...#.......#.##.#..####...#.#...#.#.###..#...###.#..#.#.##......#....#########.#..#######..#..##.#..#..#..#....#.#.##.##.#..#.#..##...#.......#.##.#..####...#.#...#.#.###..#...###.#..#.#.##......#....#########.#..#######..#..##.#..#..#..#....#.#.##.##.#..#.#..##...#.......#.##.#..####...#.#...#.#.###..#...###.#..#.#.##......#....#########.#..#######..#..##.#..#..#..#....#.#.##.##.#..#.#..##...#.......#.##.#..####...#.#...#.#.###..#...###.#..#.#.##......#....#########.#..#######..#..##.#..#..#..#....#.#.##.##.#..#.#..##...#.......#.##.#..####...#.#...#
#####...##..###.#..###.#..#.##.#.##..#....##.#..###.###.####..#..#.#.#...#####.#...#.##..#.....###..#.#.#.#..#...##...####..##.#.#..##..#.#..#.#.#.#..###.##......#.####.#.####..######.#.##.##...#...#.#...###.....###.##.#..#..#####.##.######..#..##......#..###...#.....#..##.##.###.#..#...##...#..........#.#...##..#.####..####.##.#....###.#.#.#..##..#......#.#.#...##...#..#..##......#..###...#.....#..##.##.###.#..#...##...#..........#.#...##..#.####..####.##.#....###.#.#.#..##..#......#.#.#...##..##..#..##......#..###...#.....#..##.##.###.#..#...##...#..........#.#...##..#.####..####.##.#....###.#.#.#..##..#......#.#.#...##...#..#..##......#..###...#.....#..##.##.###.#..#...##...#..........#.#...##..#.####..####.##.#....###.#.#.#..##..#......#.#.#...##...#..#..##......#..###...#.....#..##.##.###.#..#...##...#..........#.#...##..#.####..####.##.#....###.#.#.#..##..#......#.#.#...##...#..#..##......#..###...#.....#..##.##.###.#..#...##...#..........#.#...##..#.####..####.##.#....###.#.#.#.
.####...##....#....#....##.##..#..##.##..#....#..##..#..#..#..#####.....#.#..#.....##..##...#.#.##.....##.#.#.#...######.###.....#.#####.....#.#.....###..#..##.#.....######...###..#.##...###.##..#.#.#.#...##...#..##......#.####.##...#.....#.##.#......#...########..###..##.#..##.#..#.##..#.#.#.###...###.##...###..#.###..#...#....##.####.#.##.##.#..#.#.#######.#.###.#....##.#......#...########..###..##.#..##.#..#.##..#.#.#.###...###.##...###..#.###..#...#....##.####.#.##.##.#..#.#.#######.#.###.#....##.#......#...########..###..##.#..##.#..#.##..#.#.#.###...###.##...###..#.###..#...#....##.####.#.##.##.#..#.#.#######.#.###.#....##.#......#...########..###..##.#..##.#..#.##..#.#.#.###...###.##...###..#.###..#...#....##.####.#.##.##.#..#.#.#######.#.###.#....##.#......#...########..###..##.#..##.#..#.##..#.#.#.###...###.##...###..#.###..#...#....##.####.#.##.##.#..#.#.#######.#.###.#....##.#......#...########..###..##.#..##.#..#.##..#.#.#.###...###.##...###..#.###..#...#....##.####.#.##.##
###..###..#.##.#..###.##...###...####..#.###.#..#..##..##..#..###.#.#.#.#.#.#...#..##....##...##.#.#....#....#...####..###.##.#..##.#.###.###...#.###.###.##.##.#...##.##.##..#.###....#.#..#..##.#...##...#....#...#..#.#.##....#.....##.###...###.#.####.##.#.##.####..#.#...#..###..###...##.#.#.#.......#.##.#..#.......#.##...###.#.#####...##.#.#....###.##...##.###.#...####.##.#.####.##.#.##.####..#.#...#..###..###...##.#.#.#.......#.##.#..#.......#.##...###.#.#####...##.#.#....###.##...##.###.#...####.##.#.####.##.#.##.####..#.#...#..###..###...##.#.#.#.......#.##.#..#.......#.##...###.#.#####...##.#.#....###.##...##.###.#...####.##.#.####.##.#.##.####..#.#...#..###..###...##.#.#.#.......#.##.#..#.......#.##...###.#.#####...##.#.#....###.##...##.###.#...####.##.#.####.##.#.##.####..#.#...#..###..###...##.#.#.#.......#.##.#..#.......#.##...###.#.#####...##.#.#....###.##...##.###.#...####.##.#.####.##.#.##.####..#.#...#..###..###...##.#.#.#.......#.##.#..#.......#.##...###.#.#####...##.#.#..
###.#.####.#.#..#.#.#.##..##..#..#.....#.#..######.##.#.#..##..#......#....#..##...#.#..#..##.....##....#.###.##....#..#.##.....###.###.#.#####..###.###..###..#....##.##.#..##.##..##..##.#.###...#..#.#.###.#.##..#.##.#..#.##.#.##..#.#.#.#.###.#.#..#...#.#.....###.##..#..####....##.##.##......#...##.###.#...####..######.#.##.###..#.....#####..##..#.#.##.###..#..#...##.###.#.#..#...#.#.....###.##..#..####....##.##.##......#...##.###.#...####..######.#.##.###..#.....#####..##..#.#.##.###..#..#...##.###.#.#..#...#.#.....###.##..#..####....##.##.##......#...##.###.#...####..######.#.##.###..#.....#####..##..#.#.##.###..#..#...##.###.#.#..#...#.#.....###.##..#..####....##.##.##......#...##.###.#...####..######.#.##.###..#.....#####..##..#.#.##.###..#..#...##.###.#.#..#...#.#.....###.##..#..####....##.##.##......#...##.###.#...####..######.#.##.###..#.....#####..##..#.#.##.###..#..#...##.###.#.#..#...#.#.....###.##..#..####....##.##.##......#...##.###.#...####..######.#.##.###..#.....#####..#
......#.######...####.###.#..#.#.#....#####.####..#...#####.###.##.###..###.#####.#.......#..#....#####...####..####.###.#..##...#####.#..#...##......##.##.#..#####.###.###.#..##.####..#.##..###.###..##.#.#.#..........######.#.##.....##.#..#...##...#.....#.#.##.###..#..#...#.###..##..##.##.....#..#.###..####..######...#.#..#.....####..#......##.####..##.#.##..##.###...#...##...#.....#.#.##.###..#..#...#.###..##..##.##.....#..#.###..####..######...#.#..#.....####..#......##.####..##.#.##..##.###...#...##...#.....#.#.##.###..#..#...#.###..##..##.##.....#..#.###..####..######...#.#..#.....####..#......##.####..##.#.##..##.###...#...##...#.....#.#.##.###..#..#...#.###..##..##.##.....#..#.###..####..######...#.#..#.....####..#......##.####..##.#.##..##.###...#...##...#.....#.#.##.###..#..#...#.###..##..##.##.....#..#.###..####..######...#.#..#.....####..#......##.####..##.#.##..##.###...#...##...#.....#.#.##.###..#..#...#.###..##..##.##.....#..#.###..####..######...#.#..#.....####..#......#
...##...##..####...###.#.#.#.##.###...###...#####...###.#####...###.#....#.##....#.########.#.##.##..#..#.#..#.###.#.####.###.##.#..####...#..###.##..#.#.###.#.#.#..#.#...#######...##..#.####..#..##......###.#..###.#.#...########.#....#.#.##....#...##.#..##.#.#...##.###..#.##..#.####.#..##.#....####.##..#.###.###...######...#.###...#.#####..###..#...#...#.##..........##....#...##.#..##.#.#...##.###..#.##..#.####.#..##.#....####.##..#.###.###...######...#.###...#.#####..###..#...#...#.##......#...##....#...##.#..##.#.#...##.###..#.##..#.####.#..##.#....####.##..#.###.###...######...#.###...#.#####..###..#...#...#.##..........##....#...##.#..##.#.#...##.###..#.##..#.####.#..##.#....####.##..#.###.###...######...#.###...#.#####..###..#...#...#.##..........##....#...##.#..##.#.#...##.###..#.##..#.####.#..####....####.##..#.###.###...######...#.###...#.#####..###..#...#...#.##..........##....#...##.#..##.#.#...##.###..#.##..#.####.#..##.#....####.##..#.###.###...######...#.###...#.#####..##
...##.##.#.#..#.#.....#.#.##.#...###.##.#.#...#.##..#.####..#.....##...#.#...#.#.##.##....###.#.#......#.#.#...###..###..####....#.####.##.##.######.#....##....##.####.#...#...#.####.#.#.#.##..###...#...#.####...##..#.#.##..#.###.#....#.....#..###.#######...#.#.######....#........##..##....#...#.###.#..#..##....##...##...#.#...#..##..#...#.........##..#.#.##..#######..##..###.#######...#.#.######....#........##..##....#...#.###.#..#..##....##...##...#.#...#..##..#...#.........##..#.#.##..#######..##..###.#######...#.#.######....#........##..##....#...#.###.#..#..##....##...##...#.#...#..##..#...#.........##..#.#.##..#######..##..###.#######...#.#.######....#........##..##....#...#.###.#..#..##....##...##...#.#...#..##..#...#.........##..#.#.##..#######..##..###.#######...#.#.######....#........##..##....#...#.###.#..#..##....##...##...#.#...#..##..#...#.........##..#.#.##..#######..##..###.#######...#.#.######....#........##..##....#...#.###.#..#..##....##...##...#.#...#..##..#...#....
..#...#..###.....#.###..#....##..##.#.###...##.###....###...###....#.##....#.##....#..#.#....##.####.#....#..#.##.#......##..#.##.##.#.#.####..#...###.####.#...#.#..##.#....##.##.###..#..#..#..###..#..#.#.#..#.#...##...##....#.#####.#...#.##....###..#.#.##....##.#.##..##.#...#######..###..#..#.##.###.####.##.##..###...#.##..#.####...##....#.#.##.#..#.#######..#...#.#.#.....###..#.#.##....##.#.##..##.#...#######..###..#..#.##.###.####.##.##..###...#.##..#.####...##....#.#.##.#..#.#######..#...#.#.#.....###..#.#.##....##.#.##..##.#...#######..###..#..#.##.###.####.##.##..###...#.##..#.####...##....#.#.##.#..#.#######..#...#.#.#.....###..#.#.##....##.#.##..##.#...#######..###..#..#.##.###.####.##.##..###...#.##..#.####...##....#.#.##.#..#.#######..#...#.#.#.....###..#.#.##....##.#.##..##.#...#######..###..#..#.##.###.####.##.##..###...#.##..#.####...##....#.#.##.#..#.#######..#...#.#.#.....###..#.#.##....##.#.##..##.#...#######..###..#..#.##.###.####.##.##..###...#.##..#.####...##....#.#.
##..#..##.#..###...##.#...#..#.###.##.#.#####.##.#..##.##....#######.#####..#.#.#..#..######.#.#.#.#.#..#.##.#.##.#....##.##.#.##........##..#.###.#..##.....###..#.##.#.#..#.........###.##..##..#.##.###.....#......##.......#.##..#..#..#.###.#..##.#..####...#.###.##..#.###.###.##..#.###.#.######.#.#...###.###..##...#.##.##.#.#...#.#.#.##.#...#..#.#.######.###.#..###.#..##..##.#..####...#.###.##..#.###.###.##..#.###.#.######.#.#...###.###..##...#.##.##.#.#...#.#.#.##.#...#..#.#.######.###.#..###.#..##..##.#..####...#.###.##..#.###.###.##..#.###.#.######.#.#...###.###..##...#.##.##.#.#...#.#.#.##.#...#..#.#.######.###.#..###.#..##..##.#..####...#.###.##..#.###.###.##..#.###.#.######.#.#...###.###..##...#.##.##.#.#...#.#.#.##.#...#..#.#.######.###.#..###.#..##..##.#..####...#.###.##..#.###.###.##..#.###.#.######.#.#...###.###..##...#.##.##.#.#...#.#.#.##.#...#..#.#.######.###.#..###.#..##..##.#..####...#.###.##..#.###.###.##..#.###.#.######.#.#...###.###..##...#.##.##.#.#...#.#.#.##.#...#.
..##.##.##.#....####.#.#.##..####.##.##..#.##.###..#..##.#..#...#..#..####.#####....#...#.##..#......#...###.##.#.#....#.#..##.........#...##...##....###.#.##.##.#.#.....#.###.##.##.##.#.##..###.#####...####..#.#..#.#..###.......#..#.#.###.#.#...#####.#..##...########.#.#####.....#...###...#....###......#.####.##..#.###.###..#.#....#.##.#....#....#..##..#...##....#...#..#...#####.#..##...########.#.#####.....#...###...#....###......#.####.##..#.###.###..#.#....#.##.#....#....#..##..#...##....#...#..#...#####.#..##...########.#.#####.....#...###...#....###......#.####.##..#.###.###..#.#....#.##.#....#....#..##..#...##....#...#..#...#####.#..##...########.#.#####.....#...###...#....###......#.####.##..#.###.###..#.#....#.##.#....#....#..##..#...##....#...#..#...#####.#..##...########.#.#####.....#...###...#....###......#.####.##..#.###.###..#.#....#.##.#....#....#..##..#...##....#...#..#...#####.#..##...########.#.#####.....#...###...#....###......#.####.##..#.###.###..#.#....#.##.#....#
#..##.#.#.#######....##..####..#...#.#.####...####.####...####.###.#....#..##.####....#.###.....#####..#...#.###.#...#...#.#...##.....##.#.#####..#...###..#.###.#..#.....###..#####.#...#######...#..#...#.#..####...#..##...##....#.#.........#..####.###.####....#..####...#..##.###.#.##.##....######..#...##..#..####..#.#.###.######.#.###....#.###.###..##...##..##....#.####..####.###.####....#..####...#..##.###.#.##.##....######..#...##..#..####..#.#.###.######.#.###....#.###.###..##...##..##....#.####..####.###.####....#..####...#..##.###.#.##.##....######..#...##..#..#####.#.#.###.######.#.###....#.###.###..##...##..##....#.####..####.###.####....#..####...#..##.###.#.##.##....######..#...##..#..####..#.#.###.######.#.###....#.###.###..##...##..##....#.####..####.###.####....#..####...#..##.###.#.##.##....######..#...##..#..####..#.#.###.######.#.###....#.###.###..##...##..##....#.####..####.###.####....#..####...#..##.###.#.##.##....######..#...##..#..####..#.#.###.######.#.###....#.###
.##....######.##.##.##....#.#.#.##......##...##...##.###..##.##.########..#...###.#####.##.####...###..#..##...###...#.#...#.##..##.###..####.#.#..#.##...#.#.#.#....##..#####.####...##.#.###.#.....##.#...#.##..##.#.##..#.#..###..##.#..#.##...###...##.#.###.##.#.###.....#..###.##.#.#.##.###.#.#..##.###.#.#..#..##.###.#..#..###.#..##....###...#.#...###..#....##.#.....##.#.###...##.#.###.##.#.###.....#..###.##.#.#.##.###.#.#..##.###.#.#..#..##.###.#..#..###.#..##....###...#.#...###..#....##.#.....##.#.###...##.#.###.##.#.###.....#..###.##.#.#.##.###.#.#..##.###.#.#..#..##.###.#..#..###.#..##....###...#.#...###..#....##.#.....##.#.###...##.#.###.##.#.###.....#..###.##.#.#.##.###.#.#..##.###.#.#..#..##.###.#..#..###.#..##....###...#.#...###..#....##.#.....##.#.###...##.#.###.##.#.###.....#..###.##.#.#.##.###.#.#..##.###.#.#..#..##.###.#..#..###.#..##....###...#.#...###..#....##.#.....##.#.###...##.#.###.##.#.###.....#..###.##.#.#.##.###.#.#..##.###.#.#..#..##.###.#..#..###.#..##....###...#.
.....#.....#.##..##....#.....#...#.#.#..##.##..#...#......#........##..###.#.....##.#...####.#.##.##..#..#.#.##..#####......#.#..###...#....#..##...##.#.##...#.######..####...######..#####...###..#.#.###.....#...#.####..##.#.#.##...#...##..#.###..#....##..#..#.####.######..###.##.###....#.#..#.####..#.##..#..#.#..#..#..#...#....#...###..#.....##................##.#.#....###..#....##..#..#.####.######..###.##.###....#.#..#.####..#.##..#..#.#..#..#..#...#....#...###..#.....##................##.#.#....###..#....##..#..#.####.######..###.##.###....#.#..#.####..#.##..#..#.#..#..#..#...#....#...###..#.....##................##.#.#....###..#....##..#..#.####.######..###.##.###....#.#..#.####..#.##..#..#.#..#..#..#...#....#...###..#.....##................##.#.#....###..#....##..#..#.####.######..###.##.###....#.#..#.####..#.##..#..#.#..#..#..#...#....#...###..#.....##................##.#.#....###..#....##..#..#.####.######..###.##.###....#.#..#.####..#.##..#..#.#..#..#..#...#....#...###..#.....
##.####...#......##.####.###..##.....##....#..#.###..###..#..##.##.####.#..##...#.##.#####..####.###....#.##.#...##....#.####.###.#..#..###.#######..###.###.#..#...####.#.#.#.....##....###....####..#..####.#.###.##...###.###.#.##.###.#..##.#.##.#....#.###.#.##........##.#....#.#..###.#.#####...##....###..######.##..###.#..#.##......#.####.#...###..###.########.#.#.#.#.#.##.#....#.###.#.##...#....##.#....#.#..###.#.#####...##....###..######.##..###.#..#.##......#.####.#...###..###.########.#.#.#.#.#.##.#....#.###.#.##........##.#....#.#..###.#.#####...##....###..######.##..###.#..#.##......#.####.#...###..###.########.#.#.#.#.#.##.#....#.###.#.##........##.#....#.#..###.#.#####...##....###..######.##..###.#..#.##......#.####.#...###..###.########.#.#.#.#.#.##.#....#.###.#.##........##.#....#.#..###.#.#####...##....###..######.##..###.#..#.##......#.####.#...###..###.########.#.#.#.#.#.##.#....#.###.#.##........##.#....#.#..###.#.#####...##....###..######.##..###.#..#.##......#.####.#...
.#.####.###..#.###.#.#.#.#...#.....#..#.......###...#.####.#.##.#.###.###...#...###.##.#.###...#.#.##.##....##.#.#...###..###....####.##.#.#.##.##.#..##.##..##.##..#.##.###...######..#..#.#..#...####..#.##..#.#....#....#....#.#..###..#...#.####.#....##...##.#......##.#.#.#.##.....#....#..##.#..#....###.#.####...##.#.###.##..#####.#...##....#..#.......#..#.##.#......#..####.#....##...##.#......##.#.#.#.##.....#....#..##.#..#....###.#.####...##.#.###.##..#####.#...##....#..#.......#..#.##.#......#..####.#....##...##.#......##.#.#.#.##.....#....#..##.#..#....###.#.####...##.#.###.##..#####.#...##....#..#.......#..#.##.#......#..####.#....##...##.#......##.#.#.#.##.....#....#..##.#..#....###.#.####...##.#.###.##..#####.#...##....#..#.......#..#.##.#......#..####.#....##...##.#......##.#.#.#.##.....#....#..##.#..#....###.#.####...##.#.###.##..#####.#...##....#..#.......#..#.##.#......#..####.#....##...##.#......##.#.#.#.##.....#....#..##.#..#....###.#.####...##.#.###.##..#####.#...##....#..
..###...##..#######...#..#.##.#..#####..#.#...#...#..##....#.##..#.#...####.#.#...###.##.##.##...###..#.###.#.##...#.#.###..###.###..##....##.......#..##..##.#.#..#.##.##..####.##...#.###...###.###.###.##..####.#..##.#.####.##..###..#..###.##.#.#..#...#.#....#.....##...##.#.#.#..###..#.#.#.#.#......#.#...#####.#...#######.....#.###.#.#.#.....#..####.#.#.#......#..#.##.##.#.#..#...#.#....#.....##...##.#.#.#..###..#.#.#.#.#......#.#...#####.#...#######.....#.###.#.#.#.....#..####.#.#.#......#..#.##.##.#.#..#...#.#....#.....##...##.#.#.#..###..#.#.#.#.#......#.#...#####.#...#######.....#.###.#.#.#.....#..####.#.#.#......#..#.##.##.#.#..#...#.#....#.....##...##.#.#.#..###..#.#.#.#.#......#.#...#####.#...#######.....#.###.#.#.#.....#..####.#.#.#......#..#.##.##.#.#..#...#.#....#.....##...##.#.#.#..###..#.#.#.#.#......#.#...#####.#...#######.....#.###.#.#.#.....#..####.#.#.#......#..#.##.##.#.#..#...#.#....#.....##...##.#.#.#..###..#.#.#.#.#......#.#...#####.#...#######.....#.###.#.#.#.....#
###..##.##.##..##.##.#.#......#.#.###.#...###.##.#######..##.###.####.#.#....#..#....#####.#..#.##.####..#.#.#.###...##.#.#.##.##...#...#.##.##..##...#..#.#.#..####....##.##.##.####.##.#...##.##.#..##.##..###.##......#.#.##....#.##....#..#...#.#...#.#.#.#.#.#.##..#...########..#.#.#.##..#..##.####.####.#...#.##..###.#...#.#....#.....#...####..###...##.##.#.###.#...###.#.#.#...#.#.#.#.#.#.##..#...########..#.#.#.##..#..##.####.####.#...#.##..###.#...#.#....#.....#...####..###...##.##.#.###.#...###.#.#.#...#.#.#.#.#.#.##..#...########..#.#.#.##..#..##.####.####.#...#.##..###.#...#.#....#.....#...####..###...##.##.#.###.#...###.#.#.#...#.#.#.#.#.#.##..#...########..#.#.#.##..#..##.####.####.#...#.##..###.#...#.#....#.....#...####..###...##.##.#.###.#...###.#.#.#...#.#.#.#.#.#.##..#...########..#.#.#.##..#..##.####.####.#...#.##..###.#...#.#....#.....#...####..###...##.##.#.###.#...###.#.#.#...#.#.#.#.#.#.##..#...########..#.#.#.##..#..##.####.####.#...#.##..###.#...#.#....#.....#...####..
##..###..##..###.#####.###.###...####..########.#....#.#..##.#######.##.##..##..####.##.####...###.##...#..#.#.....######.##...#.####..###.####.#..##.###.........#.#.#...####...###.##.###..#......#####..##....####..##..###...#...###.##..##.#####.#.#......#.#..####..#.#..#..###..####.###.##.#...##.#.#.##.###.###..#.###...########...#.####.##.##.#.#.#.##.##.#.####.#...#..####.#.#......#.#..####..#.#..#..###..####.###.##.#...##.#.#.##.###.###..#.###...########...#.####.##.##.#.#.#.##.##.#.####.#...#..####.#.#......#.#..####..#.#..#..###..####.###.##.#..###.#.#.##.###.###..#.###...########...#.####.##.##.#.#.#.##.##.#.####.#...#..####.#.#......#.#..####..#.#..#..###..####.###.##.#...##.#.#.##.###.###..#.###...########...#.####.##.##.#.#.#.##.##.#.####.#...#..####.#.#......#.#..####..#.#..#..###..####.###.##.#...##.#.#.##.###.###..#.###...########...#.####.##.##.#.#.#.##.##.#.####.#...#..####.#.#......#.#..####..#.#..#..###..####.###.##.#...##.#.#.##.###.###..#.###...########...#.####.##.##
.####.#..#.##...##...#.###.#.#.#....###...#...###...#.#.##..........#...#.......#.#.#.....##.#.###..#..##...#.#.##.####..#####.#..#...####....##.###.###.##..#.#.####...#..##...#.....#.#....#..##.#..##.###..#...##.###.####.###.###.#..#.##.###...##.#..#..###.#.#.#..##...#.#.#..##...#####...#.##..####.#..####.##.#....####..##..#..#.#...#..##...#.#..###.........###..#..##.#...##.#..#..###.#.#.#..##...#.#.#..##...#####...#.##..####.#..####.##.#....####..##..#..#.#...#..##...#.#..###.........###..#..##.#...##.#..#..###.#.#.#..##...#.#.#..##...#####...#.##..####.#..####.##.#....####..##..#..#.#...#..##...#.#..###.........###..#..##.#...##.#..#..###.#.#.#..##...#.#.#..##...#####...#.##..####.#..####.##.#....####..##..#..#.#...#..##...#.#..###.........###..#..##.#...##.#..#..###.#.#.#..##...#.#.#..##...#####...#.##..####.#..####.##.#....####..##..#..#.#...#..##...#.#..###.........###..#..##.#...##.#..#..###.#.#.#..##...#.#.#..##...#####...#.##..####.#..####.##.#....####..##..#..#.#...#..##...#.
#####.#.###..#.##.#...#.##.#...#....#####...#####..##..##.##.#......#####..#.#..###.##.#.#.#.##.#...#.###.###..####..##..##...#..#..####.....######.#...#...#####.....#.#...#.##.##.##...######.##.####..###..##....##..#.#####.###.####.#..##.##...##..###.####.##.###..####.####....#.......###..#.##..#.#####..#.###...##.#.......###.#.####..#.#.#...#....####..#.####.....#.#.#...##..###.####.##.###..####.####....#.......###..#.##..#.#####..#.###...##.#.......###.#.####..#.#.#...#....####..#.####.....#.#.#...##..###.####.##.###..####.####....#.......###..#.##..#.#####..#.###...##.#.......###.#.####..#.#.#...#....####..#.####.....#.#.#...##..###.####.##.###..####.####....#.......###..#.##..#.#####..#.###...##.#.......###.#.####..#.#.#...#....####..#.####.....#.#.#...##..###.####.##.###..####.####....#.......###..#.##..#.#####..#.###...##.#.......###.#.####..#.#.#...#....####..#.####.....#.#.#...##..###.####.##.###..####.####....#.......###..#.##..#.#####..#.###...##.#.......###.#.####..#.#.#...
.###.##.#.#..#.#.#.....#####.##.###...#.##.##....#..#.#....#####.###.#...#.##.#.#..#.#.#.#..###...............##.##.##.##..#..#########.##.###...#..##..##..##...#....#..#....#..#.#...####...#.##..####...###.#...#.######.#..##.#.#.###..#.....##.#.#.#.#....##..###.##...#.#.#..##..#.####.#....####.##.#..###...####.#..##..#####.####..####....#.#...#.#.#.##.#.#.#.#..#.#.######.#.#.#.#....##..###.##...#.#.#..##..#.####.#....####.##.#..###...####.#..##..#####.####..####....#.#...#.#.#.##.#.#.#.#..#.#.######.#.#.#.#....##..###.##...#.#.#..##..#.####.#....####.##.#..###...####.#..##..#####.####..####....#.#...#.#.#.##.#.#.#.#..#.#.######.#.#.#.#....##..###.##...#.#.#..##..#.####.#....####.##.#..###...####.#..##..#####.####..####....#.#...#.#.#.##.#.#.#.#..#.#.######.#.#.#.#....##..###.##...#.#.#..##..#.####.#....####.##.#..###...####.#..##..#####.####..####....#.#...#.#.#.##.#.#.#.#..#.#.######.#.#.#.#....##..###.##...#.#.#..##..#.####.#....####.##.#..###...####.#..##..#####.####..####....#.#..
..##...##.###.###.##..#....##.####.....##..##..#.....#..#..##..#.#####.##.#..#...###.##..##.###.#.#...##.#...###..#...##.###.#.##.###..###.##...#...##.##.#..#..#.#.######.#.....###.#...#....#.###.#...##.#...#.#.###.#.##.###.....#..#..##..#.#.#.....##.###.###.#.........###.#...#...##.....#....#.#......##.#.##....####...####.....##.#.##.####......##.###.####.####..#....#..#.....##.###.###.#.........###.#...#...##.....#....#.#......##.#.##....####...####.....##.#.##.####......##.###.####.####..#....#..#.....##.###.###.#.........###.#...#...##.....#....#.#......##.#.##....####...####.....##.#.##.####......##.###.####.####..#....#..#.....##.###.###.#.........###.#...#...##.....#....#.#......##.#.##....####...####.....##.#.##.####......##.###.####.####..#....#..#.....##.###.###.#.........###.#...#...##.....#....#.#......##.#.##....####...####.....##.#.##.####......##.###.####.####..#....#..#.....##.###.###.#.........###.#...#...##.....#....#.#......##.#.##....####...####.....##.#.##.####....
.####...####....##.####..###.##.#.##..#.#####.#.##..##.##...##.##..#..###.#.##.......##.#.#...#..#..#..#..##.......#####.##.##......##.#.#.##.....####....#...#..#...###.....#...#..#######..##.####...#.#.##...#....##.##.###.###.##..#.###..###.###.#.####.##...#.####.###..#.#####.####.###..###.#.##.#.#.....##..#..##.###..#...#.##.###.#....#.#######...##.#.#.#.#.#..#.###..#.###.#.####.##...#.####.###..#.#####.####.###..###.#.##.#.#.....##..#..##.###..#...#.##.###.#....#.#######...##.#.#.#.#.#..#.###..#.###.#.####.##...#.####.###..#.#####.####.###..###.#.##.#.#.....##..#..##.###..#...#.##.###.#....#.#######...##.#.#.#.#.#..#.###..#.###.#.####.##...#.####.###..#.#####.####.###..###.#.##.#.#.....##..#..##.###..#...#.##.###.#....#.#######...##.#.#.#.#.#..#.###..#.###.#.####.##...#.####.###..#.#####.####.###..###.#.##.#.#.....##..#..##.###..#...#.##.###.#....#.#######...##.#.#.#.#.#..#.###..#.###.#.####.##...#.####.###..#.#####.####.###..###.#.##.#.#.....##..#..##.###..#...#.##.###.#....#.#####
..##.#...#..##.#.##..#..###.#.....#####.....#...#####..#..##.#...####.########..#....##.#.####.#.#.#....#........#.#.###..#.#..#.#######.#..#########.#####.##.#.#.###.#.#.#.###.##.....#.####.......####.##...##..#....#..##.#...###........#.#.#....####.#.####.#..#.#.####..####.###....#...##.##.......##.......#.##.#.....##..##.#.###.###..##.###.#.#########...##.##.#..#.#.##....####.#.####.#..#.#.####..####.###....#...##.##.......##.......#.##.#.....##..##.#.###.###..##.###.#.#########...##.##.#..#.#.##....####.#.####.#..#.#.####..####.###....#...##.##.......##.......#.##.#.....##..##.#.###.###..##.###.#.#########...##.##.#..#.#.##....####.#.####.#..#.#.####..####.###....#...##.##.......##.......#.##.#.....##..##.#.###.###..##.###.#.#########...##.##.#..#.#.##....####.#.####.#..#.#.####..####.###....#...##.##.......##.......#.##.#.....##..##.#.###.###..##.###.#.#########...##.##.#..#.#.##....####.#.####.#..#.#.####..####.###....#...##.##.......##.......#.##.#.....##..##.#.###.###..##.###.#
.......####.####...#.###.#.###..##.##..#.#.#...##.##..#.#..#........##.####.#..#..###.#######.#.##.#####.##.#.#....####...##.#...##..##.##..#..##.##.#..#...#.#.#......##.#.######.#...###.#..#.#...###.##.#.......#####..#.###...##.....##.#.#....##..###..##....#.#...#####....#.###.##.###..##...##...#..#.#.....###.#..####..#.##..#.###..####..##.###.#.#.#...##.##..###.#..##...##..###..##....#.#...#####....#.###.##.###..##...##...#..#.#.....###.#..####..#.##..#.###..####..##.###.#.#.#...##.##..###.#..##...##..###..##....#.#...#####....#.###.##.###..##...##...#..#.#.....###.#..####..#.##..#.###..####..##.###.#.#.#...##.##..###.#..##...##..###..##....#.#...#####....#.###.##.###..##...##...#..#.#.....###.#..####..#.##..#.###..####..##.###.#.#.#...##.##..###.#..##...##..###..##....#.#...#####....#.###.##.###..##...##...#..#.#.....###.#..####..#.##..#.###..####..##.###.#.#.#...##.##..###.#..##...##..###..##....#.#...#####....#.###.##.###..##...##...#..#.#.....###.#..####..#.##..#.###..####..##.##
####.##.#...##.###.#####.#..#.#......#####...#.####...#.#.##..#.##......###....#...##....#....##.##..##..#.#..######.....##.#.#.###.###....####..##.###..##.#..##......###.#.#...###..##..#..######.#.###.#.#.#.#..#.#.##.#..##.##.#.#.#..#......#####..#.#.#.#..#.######.....#.#......##....#...#.#...#.###....##..#.....#.##...#.###.###..###.......#.#.#.##.####..##...#..##...#.#####..#.#.#.#..#.######.....#.#......##....#...#.#...#.###....##..#.....#.##...#.###.###..###.......#.#.#.##.####..##...#..##...#.#####..#.#.#.#..#.######.....#.#......##....#...#.#...#.###....##..#.....#.##...#.###.###..###.......#.#.#.##.####..##...#..##...#.#####..#.#.#.#..#.######.....#.#......##....#...#.#...#.###....##..#.....#.##...#.###.###..###.......#.#.#.##.####..##...#..##...#.#####..#.#.#.#..#.######.....#.#......##....#...#.#...#.###....##..#.....#.##...#.###.###..###.......#.#.#.##.####..##...#..##...#.#####..#.#.#.#..#.######.....#.#......##....#...#.#...#.###....##..#.....#.##...#.###.###..###.......#.#
...###..#.##.#...#.#.#####....##.#..#########.#....#.#....###..#.#...#....#.##.#.##.#.##..#.###..##...#..#.....######.....#######.#..###..##.#.##..####.#.##..#...#.##...###...##.###..#.#.#..##..#..##...##.###.#.###..##..#.#.##....#....#.#..###.##.#.###.##.####.###..###.###..#...##.##.#..#...#...###.#######.##.##..##...##.########.###..##...###########....##...#..##.##..##.##.#.###.##.####.###..###.###..#...##.##.#..#...#...###.#######.##.##..##...##.########.###..##...###########....##...#..##.##..##.##.#.###.##.####.###..###.###..#...##.##.#..#...#...###.#######.##.##..##...##.########.###..##...###########....##...#..##.##..##.##.#.###.##.####.###..###.###..#...##.##.#..#...#...###.#######.##.##..##...##.########.###..##...###########....##...#..##.##..##.##.#.###.##.####.###..###.###..#...##.##.#..#...#...###.#######.##.##..##...##.########.###..##...###########....##...#..##.##..##.##.#.###.##.####.###..###.###..#...##.##.#..#...#...###.#######.##.##..##...##.########.###..##...###
...#..####..##..#...#..##.####.#.##..##...########.##.#..###.#..##.#.#...##..#.....#....###.#...#...###..##.#....#...##.##.#..##.##..##.#..#.#....##...##.###.#.#####.#..#.##.##...........#...##.###..#.###.#..#..#..#.##..#..###.##.##.##.#.#...#..##.###.##.##.#....######.##..######.#.###.#.##.#.#####.....#.###.#.######.###.#.....#....##.##........##.##.#.##...#...#......#.#..##.###.##.##.#....######.##..######.#.###.#.##.#.#####.....#.###.#.######.###.#.....#....##.##........##.##.#.##...#...#......#.#..##.###.##.##.#....######.##..######.#.###.#.##.#.#####.....#.###.#.######.###.#.....#....##.##........##.##.#.##...#...#......#.#..##.###.##.##.#....######.##..######.#.###.#.##.#.#####.....#.###.#.######.###.#.....#....##.##........##.##.#.##...#...#......#.#..##.###.##.##.#....######.##..######.#.###.#.##.#.#####.....#.###.#.######.###.#.....#....##.##........##.##.#.##...#...#......#.#..##.###.##.##.#....######.##..######.#.###.#.##.#.#####.....#.###.#.######.###.#.....#....##.##......
.#.#.#.......#.....#...#..#..#.....#.#.#....#..#..#.##..##...##.......#...#..#.##.#....##.##.###.##..###.#.#.######..##......#......#.#....####.#.#.##..#..##.#..#.#.##...##..##.##.#..##.#...#.#......#######.##...###.##.###.###..#...##..##.#......#####.##.#....#######.#..#.##..####......#...#....#.#####.#...###....#.##...........###.#.#.###.#.##.....###.##.##.....#.#.........#####.##.#....#######.#..#.##..####......#...#....#.#####.#...###....#.##...........###.#.#.###.#.##.....###.##.##.....#.#.........#####.##.#....#######.#..#.##..####......#...#....#.#####.#...###....#.##...........###.#.#.###.#.##.....###.##.##.....#.#.........#####.##.#....#######.#..#.##..####......#...#....#.#####.#...###....#.##...........###.#.#.###.#.##.....###.##.##.....#.#.........#####.##.#....#######.#..#.##..####......#...#....#.#####.#...###....#.##...........###.#.#.###.#.##.....###.##.##.....#.#.........#####.##.#....#######.#..#.##..####......#...#....#.#####.#...###....#.##...........###.#.#.###.#.#
.###.#..##.#..##.##..##..#.##..#.###..#...#.....#.##.##.###.#..####.#.#....###..##......##.#.#####...#.#.####.#...#.####..#..#.#.###.#..###.#.######.....####.######.#####..####...######.##.##.....#......######.......####.#....#.##..##..#....#..#.#.##...##.#.#.##.###..#..##..####.##.###.#.###.#....###.##.######...#.#.#.##.###.##.#.#.##...#..###.##.#..##.##..#.##.##..##..#..#.#.##...##.#.#.##.###..#..##..####.##.###.#.###.#....###.##.######...#.#.#.##.###.##.#.#.##...#..###.##.#..##.##..#.##.##..##..#..#.#.##...##.#.#.##.###..#..##..####.##.###.#.###.#....###.##.######...#.#.#.##.###.##.#.#.##...#..###.##.#..##.##..#.##.##..##..#..#.#.##...##.#.#.##.###..#..##..####.##.###.#.###.#....###.##.######...#.#.#.##.###.##.#.#.##...#..###.##.#..##.##..#.##.##..##..#..#.#.##...##.#.#.##.###..#..##..####.######.#.###.#....###.##.######...#.#.#.##.###.##.#.#.##...#..###.##.#..##.##..#.##.##..##..#..#.#.##...##.#.#.##.###..#..##..####.##.###.#.###.#....###.##.######...#.#.#.##.###.##.#.#.##...#..###
#...######....#.#.#.#......#.#.####.....#..#.......#...##.#...###...##.#.#.#...###.##..#..#.#.##....##.......#..#########...#.#####...###..###.....####.....###.....#..#.#.....#...#.##..#.#..#..#.##.#.#..###.#...#...#...#.#####.###.#.#..#.#..#....##.....#.#...###..##.##.##.##..#.#####.##..#...#.#....###..##....#.##..#...#.#.#.###.#.##...#...#.#.##.#.#.####..#.#....#...#.#....##.....#.#...###..##.##.##.##..#.#####.##..#...#.#....###..##....#.##..#...#.#.#.###.#.##...#...#.#.##.#.#.####..#.#....#...#.#....##.....#.#...###..##.##.##.##..#.#####.##..#...#.#....###..##....#.##..#...#.#.#.###.#.##...#...#.#.##.#.#.####..#.#....#...#.#....##.....#.#...###..##.##.##.##..#.#####.##..#...#.#....###..##....#.##..#...#.#.#.###.#.##...#...#.#.##.#.#.####..#.#....#...#.#....##.....#.#...###..##.##.##.##..#.#####.##..#...#.#....###..##....#.##..#...#.#.#.###.#.##...#...#.#.##.#.#.####..#.#....#...#.#....##.....#.#...###..##.##.##.##..#.#####.##..#...#.#....###..##....#.##..#...#.#.#.###.#.##...#...#.#
..#.##.####.###.###.###.####.######..###...##..###.##..#...##.###.#.###.##...###.....#..#...####....###.##.###...#...#.#...##.#..#..#.#..#.#...#..#.#.#..#....###..#....#.###.#...####...#...###..#.#...#....#....#..###.##.####.##.#...###.##.#..#####.....######.#.#.####..####..#..##...#.###.#.##.###.....##.##..#....#.#.#..##..##..####......#..##.#.##..#..#..####.#..#.##....#####.....######.#.#.####..####..#..##...#.###.#.##.###.....##.##..#....#.#.#..##..##..####......#..##.#.##..#..#..####.#..#.##....#####.....######.#.#.####..####..#..##...#.###.#.##.###.....##.##..#....#.#.#..##..##..####......#..##.#.##..#..#..####.#..#.##....#####.....######.#.#.####..####..#..##...#.###.#.##.###.....##.##..#....#.#.#..##..##..####......#..##.#.##..#..#..####.#..#.##....#####.....######.#.#.####..####..#..##...#.###.#.##.###.....##.##..#....#.#.#..##..##..####......#..##.#.##..#..#..####.#..#.##....#####.....######.#.#.####..####..#..##...#.###.#.##.###.....##.##..#....#.#.#..##..##..####......#..##.
.#...#.#...##.##...#####.###..##.###...#..##...#............###..#....#..##.#....##.#.####..#..###..###.#.##..##..###.##.#.##.####..#.#.#.##.#.####..#.###.###.#.#..#..######...####..#.....###.#..#.#......##.##.#...##....#....#...#..#.#.#.....####.###....#..##.##..##....#.#..#.##.#.....##.#..###..#..#...#.#.#.##...#..#...##...###.#.###......#.##.##.###..##..##..##..#.#...####.###....#..##.##..##....#.#..#.##.#.....##.#..###..#..#...#.#.#.##...#..#...##...###.#.###......#.##.##.###..##..##..##..#.#...####.###....#..##.##..##....#.#..#.##.#.....##.#..###..#..#...#.#.#.##...#..#...##...###.#.###......#.##.##.###..##..##..##..#.#...####.###....#..##.##..##....#.#..#.##.#.....##.#..###..#..#...#.#.#.##...#..#...##...###.#.###......#.##.##.###..##..##..##..#.#...####.###....#..##.##..##....#.#..#.##.#.....##.#..###..#..#...#.#.#.##...#..#...##...###.#.###......#.##.##.###..##..##..##..#.#...####.###....#..##.##..##....#.#..#.##.#.....##.#..###..#..#...#.#.#.##...#..#...##...###.#.###......#.#
.#..###..#.#.#.#..###....##.##.#.######.#...##..###.#..#.#.##.#.######....#.####..##.#.#..#.#...#..##...####.##.#......#.###.#.##....##.#..##.###.###.#.#.#.####.#..###.###.####.#..#.####.###..##..#..#.#...#..#.#.##....##.#.##..##..##....#####..#..###.##...###........#..#.###.##.#....#########.#.######.#.##...##..##.#..####.....##..##..####..#...##.#.#.#.##.....##..#..#.#..#...##.##...###........#..#.###.##.#....#########.#.######.#.##...##..##.#..####.....##..##..####..#...##.#.#.#.##.....##..#..#.#..#...##.##...###........#..#.###.##.#....#########.#.######.#.##...##..##.#..####.....##..##..####..#...##.#.#.#.##.....##..#..#.#..#...##.##...###........#..#.###.##.#....#########.#.######.#.##...##..##.#..####.....##..##..####..#...##.#.#.#.##.....##..#..#.#..#...##.##...###........#..#.###.##.#....#########.#.######.#.##...##..##.#..####.....##..##..####..#...##.#.#.#.##.....##..#..#.#..#...##.##...###........#..#.###.##.#....#########.#.######.#.##...##..##.#..####.....##..##..####..#.
#...###.##..#.##..##..######...###..#.##....#..##......####.##.#.#####...#..#.###.#.###..##.#..##.##.##.###.####...#..##.##..#..#.##..####......#...#.#.###.#...#.#...#.##...####.##.#.#...##..#..##.#.####.....#.....#....###.#.##.#..###.##.#..#####..###..#..#...######...#.###...##.##.....#.#.....####..###.....##.###..##..#..#.##..#.###.##.#........###.###.#.###.#.#..##..######..###..#..#...######...#.###...##.##.....#.#.....####..###.....##.###..##..#..#.##..#.###.##.#........###.###.#.###.#.#..##..######..###..#..#...######...#.###...##.##.....#.#.....####..###.....##.###..##..#..#.##..#.###.##.#........###.###.#.###.#.#..##..######..###..#..#...######...#.###...##.##.....#.#.....####..###.....##.###..##..#..#.##..#.###.##.#........###.###.#.###.#.#..##..######..###..#..#...######...#.###...##.##.....#.#.....####..###.....##.###..##..#..#.##..#.###.##.#........###.###.#.###.#.#..##..######..###..#..#...######...#.###...##.##.....#.#.....####..###.....##.###..##..#..#.##..#.###.##.#.....
#.#..#.###..#.#...#....##...###..###.##..#.##..#.##..#.####..##.####.#.##..#...##.####..#.#..###...#.##.#.....#.##.#..#....##.##....##.##.###..##..#..#######..##.#.##....#....#..#..##.##.#.#...###...##...#.###.##.#....##.##.####...###.#...##....######....#..####...####.##..##..##.####...#.##..#....#####.#.#.#####..#.#.##...#.#...######.##..#.###....###.#...#...###.#.##.....######....#..####...####.##..##..##.####...#.##..#....#####.#.#.#####..#.#.##...#.#...######.##..#.###....###.#...#...###.#.##.....######....#..####...####.##..##..##.####...#.##..#....#####.#.#.#####..#.#.##...#.#...######.##..#.###....###.#...#...###.#.##.....######....#..####...####.##..##..##.####...#.##..#....#####.#.#.#####..#.#.##...#.#...######.##..#.###....###.#...#...###.#.##.....######....#..####...####.##..##..##.####...#.##..#....#####.#.#.#####..#.#.##...#.#...######.##..#.###....###.#...#...###.#.##.....######....#..####...####.##..##..##.####...#.##..#....#####.#.#.#####..#.#.##...#.#...######.##..#.#
#........#######.#.#######..###.#.#.#####..#.#..#.#..##..##.#.#..####...#....##..#.#...#.##...##..##.#..#...#.###...##.....#.###.#..#...#.###.#.#.......#####.#.....##...#.#.#.....#..#.#.#..###.######..#.##.#....##..#....#.#.###...###..####.#..###.##.##..##.##.#....#.#..###.####.##..##.#####.#..#..###...###.#...#...#..###....##......###.#......##.##.#..#.###....###.###.#..###.##.##..##.##.#....#.#..###.####.##..##.#####.#..#..###...###.#...#...#..###....##......###.#......##.##.#..#.###....###.###.#..###.##.##..##.##.#....#.#..###.####.##..##.#####.#..#..###...###.#...#...#..###....##......###.#......##.##.#..#.###....###.###.#..###.##.##..##.##.#....#.#..###.####.##..##.#####.#..#..###...###.#...#...#..###....##......###.#......##.##.#..#.###....###.###.#..###.##.##..##.##.#....#.#..###.####.##..##.#####.#..#..###...###.#...#...#..###....##......###.#......##.##.#..#.###....###.###.#..###.##.##..##.##.#....#.#..###.####.##..##.#####.#..#..###...###.#...#...#..###....##......###.#......
##..###.########.#.#...##..#.##.......#.#..##.#..#.....#.#.......#.#...##..##...##....#..#..###..#..#.#.####.#..#.#..#.#.##.######.....#######..###.#.##..#..#.##.#####.#.....#.....#.##..#....###..######..##..#####.#.####.#.#.##.#.#..#.####..#..#.#..##...##.#.##..#.#..###...##.#...#.#.#.#..#.##.#...###..#.######.#.#...######....#.#...####..#..#.#...#.#.####....##......###..#.#..##...##.#.##..#.#..###...##.#...#.#.#.#..#.##.#...###..#.######.#.#...######....#.#...####..#..#.#...#.#.####....##......###..#.#..##...##.#.##..#.#..###...##.#...#.#.#.#..#.##.#...###..#.######.#.#...######....#.#...####..#..#.#...#.#.####....##......###..#.#..##...##.#.##..#.#..###...##.#...#.#.#.#..#.##.#...###..#.######.#.#...######....#.#...####..#..#.#...#.#.####....##......###..#.#..##...##.#.##..#.#..###...##.#...#.#.#.#..#.####...###..#.######.#.#...######....#.#...####..#..#.#...#.#.####....##......###..#.#..##...##.#.##..#.#..###...##.#...#.#.#.#..#.##.#...###..#.######.#.#...######....#.#...####..#..#
.##.###...#..#.#######..#.###.#######.#..#.#..##.###..#.....##...##.###.##.##..##.######.####.##.#...#.#.#..#..####.#.##...#....#.##...###.......#.#.#.......##.#######..##...##..##........#.##.#.######....#.#..#....#..##...##.##.##.##.#.######..#.#..#.###.####...###.#..#.##.#.###.#####.#...#.#..##.#......#..#...##.#.##...#.####..#....#..#.#.#.#...####..###.#..##..##.#..##..#.#..#.###.####...###.#..#.##.#.###.#####.#...#.#..##.#......#..#...##.#.##...#.####..#....#..#.#.#.#...####..###.#..##..##.#..##..#.#..#.###.####...###.#..#.##.#.###.#####.#...#.#..##.#......#..#...##.#.##...#.####..#....#..#.#.#.#...####..###.#..##..##.#..##..#.#..#.###.####...###.#..#.##.#.###.#####.#...#.#..##.#......#..#...##.#.##...#.####..#....#..#.#.#.#...####..###.#..##..##.#..##..#.#..#.###.####...###.#..#.##.#.###.#####.#...#.#..##.#......#..#...##.#.##...#.####..#....#..#.#.#.#...####..###.#..##..##.#..##..#.#..#.###.####...###.#..#.##.#.###.#####.#...#.#..##.#......#..#...##.#.##...#.####..#....#..#.#.#.
#...####...#..####.#.##.###.....#.#.##.###...#..##..##..#####.#..###.##....##.###..#.#.####..##.#..#.##....###.##.######.#..##.#..##.#..#...#.##.#.###..##..#.#..##.##.##.##.##...#.##.#..###..##.#.###.#.#.#..###..##..##..#..#...#..#.#..#....##.#..#..##.##..#.##.##...##...#..##...#.#.#####.###...#.#..#.#.##....#.#.##..#.#...###...#....##.##.#..#.....#.##..###..####.#.##.##.#..#..##.##..#.##.##...##...#..##...#.#.#####.###...#.#..#.#.##....#.#.##..#.#...###...#....##.##.#..#.....#.##..###..####.#.##.##.#..#..##.##..#.##.##...##...#..##...#.#.#####.###...#.#..#.#.##....#.#.##..#.#...###...#....##.##.#..#.....#.##..###..####.#.##.##.#..#..##.##..#.##.##...##...#..##...#.#.#####.###...#.#..#.#.##....#.#.##..#.#...###...#....##.##.#..#.....#.##..###..####.#.##.##.#..#..##.##..#.##.##...##...#..##...#.#.#####.###...#.#..#.#.##....#.#.##..#.#...###...#....##.##.#..#.....#.##..###..####.#.##.##.#..#..##.##..#.##.##...##...#..##...#.#.#####.###...#.#..#.#.##....#.#.##..#.#...###...#....##.##.#..#
.####..###.##..#..###...#..#######.....###.#.###..#..#...#..#..#.#.##.###.#####.#.#..####..##.#.#...###.##.......###.#..####..##.####.....###.#####..#.#...#..#.#.#.#.##.#.....##..#......####..##.##.##...#...#.##..####....#.#..##.#.###.##..#.##...#..#..#.##........#.#####....#..#...#.#####....#.##....#...#......##.##.#.#.#.###.#.#.#...#..#..#......#.#.###.##.#####.########...#..#..#.##........#.#####....#..#...#.#####....#.##....#...#......##.##.#.#.#.###.#.#.#...#..#..#......#.#.###.##.#####.########...#..#..#.##........#.#####....#..#...#.#####....#.##....#...#......##.##.#.#.#.###.#.#.#...#..#..#......#.#.###.##.#####.########...#..#..#.##........#.#####....#..#...#.#####....#.##....#...#......##.##.#.#.#.###.#.#.#...#..#..#......#.#.###.##.#####.########...#..#..#.##........#.#####....#..#...#.#####....#.##....#...#......##.##.#.#.#.###.#.#.#...#..#..#......#.#.###.##.#####.########...#..#..#.##........#.#####....#..#...#.#####....#.##....#...#......##.##.#.#.#.###.#.#.#...#..#..#..
##...####...##.###..######.#####....#..##....#..####.###.....#..#.#.#.##....#####.####.#.###.###.#######.#.##.#.#..###.#..#...##...##..###.##.....#...#####.####..####..###....#..####....#.##.#.#..##....##..#...##.#.##.####.#.##.......#.##...#.##...#.....#.###.#..#...#.###.#..#....#...#..####.####..###...##..###.#...#...#..#..#..####..#..#.###.###..#.#.#...#..#....###...#.##...#.....#.###.#..#...#.###.#..#....#...#..####.####..###...##..###.#...#...#..#..#..####..#..#.###.###..#.#.#...#..#....###...#.##...#.....#.###.#..#...#.###.#..#....#...#..####.####..###...##..###.#...#...#..#..#..####..#..#.###.###..#.#.#...#..#....###...#.##...#.....#.###.#..#...#.###.#..#....#...#..####.####..###...##..###.#...#...#..#..#..####..#..#.###.###..#.#.#...#..#....###...#.##...#.....#.###.#..#...#.###.#..#....#...#..####.####..###...##..###.#...#...#..#..#..####..#..#.###.###..#.#.#...#..#....###...#.##...#.....#.###.#..#...#.###.#..#....#...#..####.####..###...##..###.#...#...#..#..#..####..#..#.###.
.#..#.##.#........######.###...#.######.####..#.##.#######..##.....###.#.#...#####..##....#......###...#..#.##.#...#...##.#...##.##..#.###..##.####..#####..##..###..#.###.##.##..#..#..##..##......#####..#....####.##..#...#..###.#.#.##....###.##...##.#..#.######..#..##.###....##.##..#.....#.#######....#.#....#...##..#.#..###.###..#..##..#...##....###...#..#..##.##.#...#..##...##.#..#.######..#..##.###....##.##..#.....#.#######....#.#....#...##..#.#..###.###..#..##..#...##....###...#..#..##.##.#...#..##...##.#..#.######..#..##.###....##.##..#.....#.#######....#.#....#...##..#.#..###.###..#..##..#...##....###...#..#..##.##.#...#..##...##.#..#.######..#..##.###....##.##..#.....#.#######....#.#....#...##..#.#..###.###..#..##..#...##....###...#..#..##.##.#...#..##...##.#..#.######..#..##.###....##.##..#.....#.#######....#.#....#...##..#.#..###.###..#..##..#...##....###...#..#..##.##.#...#..##...##.#..#.######..#..##.###....##.##..#.....#.#######....#.#....#...##..#.#..###.###..#..##..#...##.
.#.#.###..###.##..#.#...#..##.#.##.##......##..#####....#..######.###.#.###.#..#####.......##.#..######....#.##.#....#...##...##.####..###.#####.#...###..########.#..#..###..#.##.##...#.#....##...#.#.##.##.##....#.#..##.##...#..#..###.##..#...#.#...##.#.#..###.##...###..##.###.#.#.#.#..#.#..##.#######....##..##.......#.##..#.####.#..#.#.#.#..#.##.#.#..#.##.#...##.#....#..#.#...##.#.#..###.##...###..##.###.#.#.#.#..#.#..##.#######....##..##.......#.##..#.####.#..#.#.#.#..#.##.#.#..#.##.#...##.#....#..#.#...##.#.#..###.##...###..##.###.#.#.#.#..#.#..##.#######....##..##.......#.##..#.####.#..#.#.#.#..#.##.#.#..#.##.#...##.#....#..#.#...##.#.#..###.##...###..##.###.#.#.#.#..#.#..##.#######....##..##.......#.##..#.####.#..#.#.#.#..#.##.#.#..#.##.#...##.#....#..#.#...##.#.#..###.##...###..##.###.#.#.#.#..#.#..##.#######....##..##.......#.##..#.####.#..#.#.#.#..#.##.#.#..#.##.#...##.#....#..#.#...##.#.#..###.##...###..##.###.#.#.#.#..#.#..##.#######....##..##.......#.##..#.####.#..#.#.#.#..#
#..#.#######...###.#...##.##......#...#...##.#####...###.##.##..###..###....###.##....#...#.##.###..#.###.##.##.#....#.####.###...#.##.#..#..###.##.##...#####.###..##.#.#....##.#..###..#.##.##.#..##.#.##...##...##..##.#.#..####...#####.#.#.#.#########....##....##.#..##....##.#.###.##..#.##.#.#.##.#.#..#.##..##.#.#..####.###.#######..#.#..##.###.##...#.####.#..##..#####..#########....##....##.#..##....##.#.###.##..#.##.#.#.##.#.#..#.##..##.#.#..####.###.#######..#.#..##.###.##...#.####.#..##..#####..#########....##....##.#..##....##.#.###.##..#.##.#.#.##.#.#..#.##..##.#.#..####.###.#######..#.#..##.###.##...#.####.#..##..#####..#########....##....##.#..##....##.#.###.##..#.##.#.#.##.#.#..#.##..##.#.#..####.###.#######..#.#..##.###.##...#.####.#..##..#####..#########....##....##.#..##....##.#.###.##..#.##.#.#.##.#.#..#.##..##.#.#..####.###.#######..#.#..##.###.##...#.####.#..##..#####..#########....##....##.#..##....##.#.###.##..#.##.#.#.##.#.#..#.##..##.#.#..####.###.#######..#.#..##.##
.##.#.#...##.#.##.########....#...####.###.#.###......#...##....##..#..##..######.#.#...##..#.####.#.#.#..#..#.#.......#..###..######.#.###....####.#.#...##.....#.#.#.###.##.#...#.#..#....##.#..#...##.###.###.###.##.########.#.#.##.#.#....#..##.####...###...#.###....#.###.#.#.#...#####.##.#..###.#.####..##..#.#.....####.###..###.#....#.##....#.##..###...#....#..##.#..##.##.####...###...#.###....#.###.#.#.#...#####.##.#..###.#.####..##..#.#.....####.###..###.#....#.##....#.##..###...#....#..##.#..##.##.####...###...#.###....#.###.#.#.#...#####.##.#..###.#.####..##..#.#.....####.###..###.#....#.##....#.##..###...#....#..##.#..##.##.####...###...#.###....#.###.#.#.#...#####.##.#..###.#.####..##..#.#.....####.###..###.#....#.##....#.##..###...#....#..##.#..##.##.####...###...#.###....#.###.#.#.#...#####.##.#..###.#.####..##..#.#.....####.###..###.#....#.##....#.##..###...#....#..##.#..##.##.####...###...#.###....#.###.#.#.#...#####.##.#..###.#.####..##..#.#.....####.###..###.#....#.##....#
.#.....#########.#....#.###.#.#######..#.....#.#...#.#.####..#...###.#.#####..###..#..#.#.###..#.#.#...#..###...#.##.##.#..####..##.#..#.####.#.#.###.#######.##..###.....###...##.#.#..#.......#..#.######...######..#.#.####..##.#####.#...###.#..###.#.####...##...##..#...##..#.##..###.#..###.##...#.###.#..#.#..#.#..#.#.##......#.###.####.#.###.###..#..#..####....#.....#..#..###.#.####...##...##..#...##..#.##..###.#..###.##...#.###.#..#.#..#.#..#.#.##......#.###.####.#.###.###..#..#..####....#.....#..#..###.#.####...##...##..#...##..#.##..###.#..###.##...#.###.#..#.#..#.#..#.#.##......#.###.####.#.###.###..#..#..####....#.....#..#..###.#.####...##...##..#...##..#.##..###.#..###.##...#.###.#..#.#..#.#..#.#.##......#.###.####.#.###.###..#..#..####....#.....#..#..###.#.####...##...##..#...##..#.##..###.#..###.##...#.###.#..#.#..#.#..#.#.##......#.###.####.#.###.###..#..#..####....#.....#..#..###.#.####...##...##..#...##..#.##..###.#..###.##...#.###.#..#.#..#.#..#.#.##......#.###.####.#.###.#
#######..###.###...#..##..#.#..#.....##.#.#..###...##.##....#..####....##.#..#.#.###.....##.####..#..###.#...#.#.##...#..###...####.....####..#.#######....#..#.##.#..##..###.#.#.#.###.#####..##....#.#....#..###.#.#.##.....##.##.##.#####....#..#..##..#..#...##.##.##.###..#..#.##..##...####.###.#.#...#..#.##.#..##..##.....#....###....#...#.###..#..#..##.#.#.#######.##..#...#..##..#..#...##.##.##.###..#..#.##..##...####.###.#.#...#..#.##.#..##..##.....#....###....#...#.###..#..#..##.#.#.#######.##..#...#..##..#..#...##.##.##.###..#..#.##..##...####.###.#.#...#..#.##.#..##..##.....#....###....#...#.###..#..#..##.#.#.#######.##..#...#..##..#..#...##.##.##.###..#..#.##..##...####.###.#.#...#..#.##.#..##..##.....#....###....#...#.###..#..#..##.#.#.#######.##..#...#..##..#..#...##.##.##.###..#..#.##..##...####.###.#.#...#..#.##.#..##..##.....#....###....#...#.###..#..#..##.#.#.#######.##..#...#..##..#..#.#.##.##.##.###..#..#.##..##...####.###.#.#...#..#.##.#..##..##.....#....###....#...#.###..
##.#....###.#.#.##.#..##..##.##...#..###..#.###.#.##...##.########.#.#.#.....###.....#..###..#..##.#...##..#####..####.#.#...#.#...##.#.###.#..#..#...###..#.#.####.#####.##....##.##.######..#######...######..####.####...###.#...#.#...#..##.###.....#..#.#...##.###...###.#######...#...####..###..#.##.####....##.#.....#.#...##..##.#..##....#.#.#...###.#..###..#######.#.#####.....#..#.#...##.###...###.#######...#...####..###..#.##.####....##.#.....#.#...##..##.#..##....#.#.#...###.#..###..#######.#.#####.....#..#.#...##.###...###.#######...#...####..###..#.##.####....##.#.....#.#...##..##.#..##....#.#.#...###.#..###..#######.#.#####.....#..#.#...##.###...###.#######...#...####..###..#.##.####....##.#.....#.#...##..##.#..##....#.#.#...###.#..###..#######.#.#####.....#..#.#...##.###...###.#######...#...####..###..#.##.####....##.#.....#.#...##..##.#..##....#.#.#...###.#..###..#######.#.#####.....#..#.#...##.###...###.#######...#...####..###..#.##.####....##.#.....#.#...##..##.#..##....#.#.#.
##..#####.#.#####.#####.#.....##..###..####..####.#...#..###...#..#..#.#..#...#.##.......####..###.....#..###...##.#.#..#.#....#..#.####.##..#.#..#####.##.#####..#.#..#.#..###....####.#...#..##..#####.##....#..###....#...#...#..#.#.#.#..##.##.#....#.#.##.####..#.#######.#######.#.###.##..#..###.#.##.###.#.#..####..#.#####..#.#.#.#..#..#..#.######.#####..##.###.###..#..##.#....#.#.##.####..#.#######.#######.#.###.##..#..###.#.##.###.#.#..####..#.#####..#.#.#.#..#..#..#.######.#####..##.###.###..#..##.#....#.#.##.####..#.#######.#######.#.###.##..#..###.#.##.###.#.#..####..#.#####..#.#.#.#..#..#..#.######.#####..##.###.###..#..##.#....#.#.##.####..#.#######.#######.#.###.##..#..###.#.##.###.#.#..####..#.#####..#.#.#.#..#..#..#.######.#####..##.###.###..#..##.#....#.#.##.####..#.#######.#######.#.###.##..#..###.#.##.###.#.#..####..#.#####..#.#.#.#..#..#..#.######.#####..##.###.###..#..##.#....#.#.##.####..#.#######.#######.#.###.##..#..###.#.##.###.#.#..####..#.#####..#.#.#.#..#..#..#.###
######.#..#.#######..####..#...#..###.#....##.#.##.##...####...#.....###....#####.....#.###..#.#.....##.#...##....###....###.....#..#......####.#......#..##..#..###.##.......##.####....##..##....###..#.##...########.......##..###....##.##.##..#......######.#.#####.....#..#..#.#.#.#..####.##...###....##....###....##......#...#.#####..#..#...#..#.######.##...#..#......#.#..#......######.#.#####.....#..#..#.#.#.#..####.##...###....##....###....##......#...#.#####..#..#...#..#.######.##...#..#......#.#..#......######.#.#####.....#..#..#.#.#.#..####.##...###....##....###....##......#...#.#####..#..#...#..#.######.##...#..#......#.#..#......######.#.#####.....#..#..#.#.#.#..####.##...###....##....###....##......#...#.#####..#..#...#..#.######.##...#..#......#.#..#......######.#.#####.....#..#..#.#.#.#..####.##...###....##....###....##......#...#.#####..#..#...#..#.######.##...#..#......#.#..#......######.#.#####.....#..#..#.#.#.#..####.##...###....##....###....##......#...#.#####..#..#...#..
##.#.##.##..#..#####..#######.#...###..#.#.#....#..###.####.#####....#.##..#.#.##..##..##..#..##.###.#####.#.#.#.##.##........##.#####.####..###.##..######.#.##.....#####.#.##.####....##.###..#...#.#...########.##..#.#.#.#.########.#.##..#...#...#.##....###.#.##.#..#####..#..########..#.#..####...#...##.#.#..###..#...#..##......#.###..##..##.#..#.#...#..#.##.######.##.#.#...#.##....###.#.##.#..#####..#..########..#.#..####...#...##.#.#..###..#...#..##......#.###..##..##.#..#.#...#..#.##.######.##.#.#...#.##....###.#.##.#..#####..#..########..#.#..####...#...##.#.#..###..#...#..##......#.###..##..##.#..#.#...#..#.##.######.##.#.#...#.##....###.#.##.#..#####..#..########..#.#..####...#...##.#.#..###..#...#..##......#.###..##..##.#..#.#...#..#.##.######.##.#.#...#.##....###.#.##.#..#####..#..########..#.#..####...#...##.#.#..###..#...#..##......#.###..##..##.#..#.#...#..#.##.######.##.#.#...#.##....###.#.##.#..#####..#..########..#.#..####...#...##.#.#..###..#...#..##......#.###..##..##.#
.###....#.###.....##.##.#.#.......###.#..#.......###.##......#..##.####.#..##.####.......######......##..#.#..###.#####..###..####.##.#....####...####.###.####..#..##.#..#.#.#.#.#...#...#..#.#..####..#.##.##..###.#.....##..#..#.......#....##..#.#...#.#.##..#.###.#.#..####.##..###.#.#..#.######.#.####...##..#.####.####....####.###.##...######.####...###...###.#..##..#.#...#.#...#.#.##..#.###.#.#..####.##..###.#.#..#.######.#.####...##..#.####.####....####.###.##...######.####...###...###.#..##..#.#...#.#...#.#.##..#.###.#.#..####.##..###.#.#..#.######.#.####...##..#.####.####....####.###.##...######.####...###...###.#..##..#.#...#.#...#.#.##..#.###.#.#..####.##..###.#.#..#.######.#.####...##..#.####.####....####.###.##...######.####...###...###.#..##..#.#...#.#...#.#.##..#.###.#.#..####.##..###.#.#..#.######.#.####...##..#.####.####....####.###.##...######.####...###...###.#..##..#.#...#.#...#.#.##..#.###.#.#..####.##..###.#.#..#.######.#.####...##..#.####.####....####.###.##...######.#
.#.##.....##...#........####.#.##.#..###..###.#..##..##.##.####.#..###...#.#..#..#....#.#..#.....###.####.#.#.....#.#######.##.######.####..###...##..##..##..#..#.#....#.##....###...######..######....#.#.....#.##..#......###.##.#....#.#.######.###.#.#.#...#.#...#..#.###....##.#..###.#.##.##..#.####......##..###.#######.###..########..#####.#...#.....#.####..#..#.#..##.###.###.#.#.#...#.#...#..#.###....##.#..###.#.##.##..#.####......##..###.#######.###..########..#####.#...#.....#.####..#..#.#..##.###.###.#.#.#...#.#...#..#.###....##.#..###.#.##.##..#.####......##..###.#######.###..########..#####.#...#.....#.####..#..#.#..##.###.###.#.#.#...#.#...#..#.###....##.#..###.#.##.##..#.####......##..###.#######.###..########..#####.#...#.....#.####..#..#.#..##.###.###.#.#.#...#.#...#..#.###....##.#..###.#.##.##..#.####......##..###.#######.###..########..#####.#...#.....#.####..#..#.#..##.###.###.#.#.#...#.#...#..#.###....##.#..###.#.##.##..#.####......##..###.#######.###..########..#####.#..
#..###.###..#.#.#..#.###.##.###.####.##.#.#####.####..#....##..#....#.#.#####..##.#.###..#..##.###...#.#....##.##...#..##.#...###..###.##.#########.###...##.#.#..#..##.##...#..###..##...#.###...#.....#.#..#..###.###.#..###.##..##.#.#####.##..#..####...##....#..#.##.####.#.....###..##.##..#..#.#.....######.#######......#.##..##......##.#########..#....##..#.#.#...#.#..##.#..####...##....#..#.##.####.#.....###..##.##..#..#.#.....######.#######......#.##..##......##.#########..#....##..#.#.#...#.#..##.#..####...##....#..#.##.####.#.....###..##.##..#..#.#.....######.#######......#.##..##......##.#########..#....##..#.#.#...#.#..##.#..####...##....#..#.##.####.#.....###..##.##..#..#.#.....######.#######......#.##..##......##.#########..#....##..#.#.#...#.#..##.#..####...##....#..#.##.####.#.....###..##.##..#..#.#.....######.#######......#.##..##......##.#########..#....##..#.#.#...#.#..##.#..####...##....#..#.##.####.#.....###..##.##..#..#.#.....######.#######......#.##..##......##.########
#..#......#..##..##..###..#...###..#.####.#.#.#....####....##.#######..#......#..##..#...##..#.##..#..###.#.....#...#.#....#.##.#.###.#.####.#..###....###.##..####..###.###.#.###.#.#...#.####...#...#.###......##......#..##..#.##.#..##..#...#..##.#....#.##...#.#..#....#.#.###.#...######.####.....####.#.....###.....###.####....##.####.#....####......#.#.#.####...####..##...##.#....#.##...#.#..#....#.#.###.#...######.####.....####.#.....###.....###.####....##.####.#....####......#.#.#.####...####..##...##.#....#.##...#.#..#....#.#.###.#...######.####.....####.#.....###.....###.####....##.####.#....####......#.#.#.####...####..##...##.#....#.##...#.#..#....#.#.###.#...######.####.....####.#.....###.....###.####....##.####.#....####......#.#.#.####...####..##...##.#....#.##...#.#..#....#.#.###.#...######.####.....####.#.....###.....###.####....##.####.#....####......#.#.#.####...####..##...##.#....#.##...#.#..#....#.#.###.#...######.####.....####.#.....###.....###.####....##.####.#....####.
#####.....#.##.##.#........##.#..#.##..#.##..######..#..#.....#.#.......#.##.#......#####.########..#..##...##..#.##...#..#.###.#...###......#.###.##.#..##.##...#...###..#.##..#####.##...###.######.###..#...###.##.....######..#.#.#.####..#.#....#.##...#.......#######..#.###...#..#.#.#.##.#..#..####...#....#.#......#.#.#..#.#####..###.#.##.####.#.#.##..##..#......#..####....#.##...#.......#######..#.###...#..#.#.#.##.#..#..####...#....#.#......#.#.#..#.#####..###.#.##.####.#.#.##..##..#......#..####....#.##...#.......#######..#.###...#..#.#.#.##.#..#..####...#....#.#......#.#.#..#.#####..###.#.##.####.#.#.##..##..#......#..####....#.##...#.......#######..#.###...#..#.#.#.##.#..#..####...#....#.#......#.#.#..#.#####..###.#.##.####.#.#.##..##..#......#..####....#.##...#.......#######..#.###...#..#.#.#.##.#..#..####...#....#.#......#.#.#..#.#####..###.#.##.####.#.#.##..##..#......#..####....#.##...#.......#######..#.###...#..#.#.#.##.#..#..####...#....#.#......#.#.#..#.#####..###.#.##.####
#...#.#.#..####.#.#...#.#.##.....#.####.....####....###...#..#.#......#.#..#..........##.###..#.#.#..#..#.##...#..#.......#......#....##...##..#.###..#..##..##...#..###.#....##...#..##..#..#..#..#...###.#..#.#.##...#...###..###..#..#.#..###.##.######...##..####.##.#.##.#.##.#.###.#...##.#...###.#..###..#..###...#.#.#......####...#.##...###.#..#......####.#.###....#....###.######...##..####.##.#.##.#.##.#.###.#...##.#...###.#..###..#..###...#.#.#......####...#.##...###.#..#......####.#.###....#....###.######...##..####.##.#.##.#.##.#.###.#...##.#...###.#..###..#..###...#.#.#......####...#.##...###.#..#......####.#.###....#....###.######...##..####.##.#.##.#.##.#.###.#...##.#...###.#..###..#..###...#.#.#......####...#.##...###.#..#......####.#.###....#....###.######...##..####.##.#.##.#.##.#.###.#...##.#...###.#..####.#..###...#.#.#......####...#.##...###.#..#......####.#.###....#....###.######...##..####.##.#.##.#.##.#.###.#...##.#...###.#..###..#..###...#.#.#......####...#.##...###.#..
..###.#...###.##..###.##..##.##.#..##...###..#..#.#.#....#...#..#.#######..#.#..#.#....#...#..##...#...#.##..###.....#..#.###....#.#..###..#.#.########..#.#.#...##..#.#..#.#.#....####.##.##.####.#.###....#.##.###..#..#....#..#..#.#.####...#..##.#.####.##.#########..#....########.####.##...#..#.....######.###.#..##.########.#..##...###..#.###.##.#..###....#.....#####.#...##.#.####.##.#########..#....########.####.##...#..#.....######.###.#..##.########.#..##...###..#.###.##.#..###....#.....#####.#...##.#.####.##.#########..#....########.####.##...#..#.....######.###.#..##.########.#..##...###..#.###.##.#..###....#.....#####.#...##.#.####.##.#########..#....########.####.##...#..#.....######.###.#..##.########.#..##...###..#.###.##.#..###....#.....#####.#...##.#.####.##.#########..#....########.####.##...#..#.....######.###.#..##.########.#..##...###..#.###.##.#..###....#.....#####.#...##.#.####.##.#########..#....########.####.##...#..#.....######.###.#..##.########.#..##...###..#.###.#
#..##..#..#.#####..##...#......##.##..##.#.........##.##.##...#.#.##..##...##.#..#...#.#.#.###...##.#.....#.....#.#.#..######.....###.#...#..####.####.#####..##.....##.##..#....#..##..##....##..#.#..#.######..####....#.######...#..#..##.#..#....#.#..####....##..############.###.#....#.###.###...###.....##.####.##...#.####..#.....#.#..##.###.#.......##.####.###.##..#.##.....#.#..####....##..############.###.#....#.###.###...###.....##.####.##...#.####..#.....#.#..##.###.#.......##.####.###.##..#.##.....#.#..####....##..############.###.#....#.###.###...###.....##.####.##...#.####..#.....#.#..##.###.#.......##.####.###.##..#.##.....#.#..####....##..############.###.#....#.###.###...###.....##.####.##...#.####..#.....#.#..##.###.#.......##.####.###.##..#.##.....#.#..####....##..############.###.#....#.###.###...###.....##.####.##...#.####..#.....#.#..##.###.#.......##.####.###.##..#.##.....#.#..####....##..############.###.#....#.###.###...###.....##.####.##...#.####..#.....#.#..##.###.#.
#..#####..#.##...#.###.#..##.#.#..#.#....#.#.#.###..#.#.#.#.##....#...#.##.#.#.#....#.#####..#.##.##..#..#.##...##.#...#..#..#..#.##.###...##.##.....##.####..#.#..####.####.###.#..##..##....##.###..........##....#..##.....#...##.......#...#..##...#.#.#..#.####.###.#.#.####.#.##...#..##.###..##..###.##.#.##.#.###...#.####..###....#.#..##.#.#......#.####..#..#...####.#.##.##...#.#.#..#.####.###.#.#.####.#.##...#..##.###..##..###.##.#.##.#.###...#.####..###....#.#..##.#.#......#.####..#..#...####.#.##.##...#.#.#..#.####.###.#.#.####.#.##...#..##.###..##..###.##.#.##.#.###...#.####..###....#.#..##.#.#......#.####..#..#...####.#.##.##...#.#.#..#.####.###.#.#.####.#.##...#..##.###..##..###.##.#.##.#.###...#.####..###....#.#..##.#.#......#.####..#..#...####.#.##.##...#.#.#..#.####.###.#.#.####.#.##...#..##.###..##..###.##.#.##.#.###...#.####..###....#.#..##.#.#......#.####..#..#...####.#.##.##...#.#.#..#.####.###.#.#.####.#.##...#..##.###..##..###.##.#.##.#.###...#.####..###....#.#..##.#.#...
###.#.#.###...####.##...#####..........###.########....#...##.####...#...#.#.##.#....###...........##.##.##..##.#.#####.###.#.#...##..##.#...#....#..##..#.###..####..#.##.#.#####.#..##.#.#.....#.#.##....#.#...###.#..###.#..##.#####.#.#.##..#..#..##..#..#.###.#...###.##...#.###.##.#..##..#....#..###....#......#..##...#.#..#..##...#.#......####.....####..#..#..#.###........#..##..#..#.###.#...###.##...#.###.##.#..##..#....#..###....#......#..##...#.#..#..##...#.#......####.....####..#..#..#.###........#..##..#..#.###.#...###.##...#.###.##.#..##..#....#..###....#......#..##...#.#..#..##...#.#......####.....####..#..#..#.###........#..##..#..#.###.#...###.##...#.###.##.#..##..#....#..###....#......#..##...#.#..#..##...#.#......####.....####..#..#..#.###........#..##..#..#.###.#...###.##...#.###.##.#..##..#....#..###....#......#..##...#.#..#..##...#.#......####.....####..#..#..#.###........#..##..#..#.###.#...###.##...#.###.##.#..##..#....#..###....#......#..##...#.#..#..##...#.#......####.
..#.#.#..##.#.#.##....##...#..#.#...#.#.###...#..###...##.#.######..#...##.###.#...#...##...####.##.##..##.##.....##..##.###.##.#....#.#.#...#.#.#.#....##.#.###.#.##.##.##..#.#.#..##..#.......#.#..#######..#.#...##.#######..####...#.....##....#.#.......#...#..#..#.##...#.#.#####.#####.#..#..#...###.##...#.....#.###.#.#..###.#..######.#..##.#..##......##..###...#.##.#.##..#.#.......#...#..#..#.##...#.#.#####.#####.#..#..#...###.##...#.....#.###.#.#..###.#..######.#..##.#..##......##..###...#.##.#.##..#.#.......#...#..#..#.##...#.#.#####.#####.#..#..#...###.##...#.....#.###.#.#..###.#..######.#..##.#..##......##..###...#.##.#.##..#.#.......#...#..#..#.##...#.#.#####.#####.#..#..#...###.##...#.....#.###.#.#..###.#..######.#..##.#..##......##..###...#.##.#.##..#.#.......#...#..#..#.##...#.#.#####.#####.#..#..#...###.##...#.....#.###.#.#..###.#..######.#..##.#..##......##..###...#.##.#.##..#.#.......#...#..#..#.##...#.#.#####.#####.#..#..#...###.##...#.....#.###.#.#..###.#..######.#..##.#..
.#####.###.#.#.#.####..##.#...#.######..#.##..########..###.#..##...###..####.###.#..###########.##.#.#####.####...##.##........#.##..##...#.....#..#.#...#.##...##.#.###.#.##..####...###..##..#..#.#...###..#...........#..#####.#.##..#..##..###..#..#....###....#.#..##...##..#..####..####..##.....#..##.#.###.#..###.##.#..#.#.#...###..#...#####.....#.####.#.##.#.#.###.....##..#..#....###....#.#..##...##..#..####..####..##.....#..##.#.###.#..###.##.#..#.#.#...###..#...#####.....#.####.#.##.#.#.###.....##..#..#....###....#.#..##...##..#..####..####..##.....#..##.#.###.#..###.##.#..#.#.#...###..#...#####.....#.####.#.##.#.#.###.....##..#..#....###....#.#..##...##..#..####..####..##.....#..##.#.###.#..###.##.#..#.###...###..#...#####.....#.####.#.##.#.#.###.....##..#..#....###....#.#..##...##..#..####..####..##.....#..##.#.###.#..###.##.#..#.#.#...###..#...#####.....#.####.#.##.#.#.###.....##..#..#....###....#.#..##...##..#..####..####..##.....#..##.#.###.#..###.##.#..#.#.#...###..#...#####..
..####.######.###.........#.#.#..#..##..#.#..###....##.#..####.....#####....#.##.###.#.#..###.#####..####....#.###.#.#.#.##.##.#.####.#####..####.##.#..###.##.#......##.#.#...##.#..#.##...#....#.#.....#....#.#.........#.###..##.####.##.#..#..#.......##.###.....##..#.#.#..###..#####..###.#..#.#####.####.#.###.###..##....##.#####.###........###...##....######..#....#.##.#.#.......##.###.....##..#.#.#..###..#####..###.#..#.#####.####.#.###.###..##....##.#####.###........###...##....######..#....#.##.#.#.......##.###.....##..#.#.#..###..#####..###.#..#.#####.####.#.###.###..##....##.#####.###........###...##....######..#....#.##.#.#.......##.###.....##..#.#.#..###..#####..###.#..#.#####.####.#.###.###..##....##.#####.###........###...##....######..#....#.##.#.#.......##.###.....##..#.#.#..###..#####..###.#..#.#####.####.#.###.###..##....##.#####.###........###...##....######..#....#.##.#.#.......##.###.....##..#.#.#..###..#####..###.#..#.#####.####.#.###.###..##....##.#####.###........###.
.#..##.#..#..#..##...####.#....#.##.####..#......####.#..#.#.#.#...#....##..#...###...##...####...#.##...#.....##.####.##.#..#.##..#.###.##..#####.#.#..##...##.##.#.#......##..#..#..##.###.#.##...#...##.##.##.#.#.#..###...#........#...####....#.###..####..#..#.######...#.##......##.##.####.##.#.##.###.##.#.#...#...#....##.#.#..##...##.##.##.##.##...#...##..##..#.#.##.....#.###..####..#..#.######...#.##......##.##.####.##.#.##.###.##.#.#...#...#....##.#.#..##...##.##.##.##.##...#...##..##..#.#.##.....#.###..####..#..#.######...#.##......##.##.####.##.#.##.###.##.#.#...#...#....##.#.#..##...##.##.##.##.##...#...##..##..#.#.##.....#.###..####..#..#.######...#.##......##.##.####.##.#.##.###.##.#.#...#...#....##.#.#..##...##.##.##.##.##...#...##..##..#.#.##.....#.###..####..#..#.######...#.##......##.##.####.##.#.##.###.##.#.#...#...#....##.#.#..##...##.##.##.##.##...#...##..##..#.#.##.....#.###..####..#..#.######...#.##......##.##.####.##.#.##.###.##.#.#...#...#....##.#.#..##...##.##.##.##
..#.......#.#..##.####.#..#...####.#.###....#.##..#...##.####.....#.###...#..##...#.#.#.#..##...#.#.....#.#..#..#..##.####.....##...##.#.#...#.####..#.....#..#....#.#.#.##.#.......#..#.#...###.####..#....#.#.#...#..#.####.###.##.#.######..###.##.#.##...#.#.....##...#....#..#.##......#.#.#.#.####.##.....#..#####.####.#...#..#......##.#.#..#.#.#..######.#.##..###.....#.#.#.##.#.##...#.#.....##...#....#..#.##......#.#.#.#.####.##.....#..#####.####.#...#..#......##.#.#..#.#.#..######.#.##..###.....#.#.#.##.#.##...#.#.....##...#....#..#.##......#.#.#.#.####.##.....#..#####.####.#...#..#......##.#.#..#.#.#..######.#.##..###.....#.#.#.##.#.##...#.#.....##...#....#..#.##......#.#.#.#.####.##.....#..#####.####.#...#..#......##.#.#..#.#.#..######.#.##..###.....#.#.#.##.#.##...#.#.....##...#....#..#.##......#.#.#.#.####.##.....#..#####.####.#...#..#......##.#.#..#.#.#..######.#.##..###.....#.#.#.##.#.##...#.#.....##...#....#..#.##......#.#.#.#.####.##.....#..#####.####.#...#..#......##.#.#..#.#.#
#.###.........#.##.##..###.#..#.........#..#####....####...#...####....########.##..######......#.#.##.#.###..#..#.#.####.####..##...#.##..###.#.###.##..##..##.#.#........##.#.######....##...#####..###..##.#.###.....#.#.##..#...##...###.###...#.###.######.##.#....###.#...#..##.#..#.#.#.##...#..#.####.##..####..#..#...##..#..#.#.....#.###..#.#..#.##..##....#..#.....#.#.#..#.###.######.##.#....###.#...#..##.#..#.#.#.##...#..#.####.##..####..#..#...##..#..#.#.....#.###..#.#..#.##..##....#..#.....#.#.#..#.###.######.##.#....###.#...#..##.#..#.#.#.##...#..#.####.##..####..#..#...##..#..#.#.....#.###..#.#..#.##..##....#..#.....#.#.#..#.###.######.##.#....###.#...#..##.#..#.#.#.##...#..#.####.##..####..#..#...##..#..#.#.....#.###..#.#..#.##..##....#..#.....#.#.#..#.###.######.##.#....###.#...#..##.#..#.#.#.##...#..#.####.##..####..#..#...##..#..#.#.....#.###..#.#..#.##..##....#..#.....#.#.#..#.###.######.##.#....###.#...#..##.#..#.#.#.##...#..#.####.##..####..#..#...##..#..#.#.....#.###..#.#.
.#..#.....####..#.#....##..#.#..#..#.##..#.#..##.....#.#######.#...#..##..#.#..##..#.##.##..####..#.####....#.##..###..###.#.#......#####.#.##.##...#.##.#.#.#....#...##..###.#########...####.#..##..#####.#####..#.....###.....##.##.##...#...##...##..##.#....#.#.##..##.#.#.#.##...##..###.####......##..#.##..#..#...###..#...##.#.###...#..#.##........#.###.#.#.##.#.##.##.#.#...##..##.#....#.#.##..##.#.#.#.##...##..###.####......##..#.##..#..#...###..#...##.#.###...#..#.##........#.###.#.#.##.#.##.##.#.#...##..##.#....#.#.##..##.#.#.#.##...##..###.####......##..#.##..#..#...###..#...##.#.###...#..#.##........#.###.#.#.##.#.##.##.#.#...##..##.#....#.#.##..##.#.#.#.##...##..###.####......##..#.##..#..#...###..#...##.#.###...#..#.##........#.###.#.#.##.#.##.##.#.#...##..##.#....#.#.##..##.#.#.#.##...##..###.####......##..#.##..#..#...###..#...##.#.###...#..#.##........#.###.#.#.##.#.##.##.#.#...##..##.#....#.#.##..##.#.#.#.##...##..###.####......##..#.##..#..#...###..#...##.#.###...#..#.##....
...#..#..####..##...####..#....#.###.####..#####.#..###..#..#...####.#..###.##...#..#...#............#..##..#..#...#.#.#...###..##....###.###...#####.##..#...##.#.###.###.###...#..####.....####....#...#....##.##...#.#.##...####.##..#..#....#.#...###.#..#.##...###..##..#...######.#...#....#.##.#..#..#..#.#......#.#.....#.......##.####.#.......#..#.#...###...##.#.#.##.###.#...###.#..#.##...###..##..#...######.#...#....#.##.#..#..#..#.#......#.#.....#.......##.####.#.......#..#.#...###...##.#.#.##.###.#...###.#..#.##...###..##..#...######.#...#....#.##.#..#..#..#.#......#.#.....#.......##.####.##......#..#.#...###...##.#.#.##.###.#...###.#..#.##...###..##..#...######.#...#....#.##.#..#..#..#.#......#.#.....#.......##.####.#.......#..#.#...###...##.#.#.##.###.#...###.#..#.##...###..##..#...######.#...#....#.##.#..#..#..#.#......#.#.....#.......##.####.#.......#..#.#...###...##.#.#.##.###.#...###.#..#.##...###..##..#...######.#...#....#.##.#..#..#..#.#......#.#.....#.......##.####.#.......#
#....##..#.###.###.#.###.##.###..##..#.###...#.#####.#..###..#.##..######.#..##..#.#.#....#####.#.###.....####..#..##..#.####.###.#..#....######.#.##.###..#.##..#.##..##..#.##..###...##.#.###.#.#..#.##..##..#.###.#..###.########.#.#..#.##....###.#.#.#.##..#.##..###.####..###.#.#.#.....#.##...##.#.#..###.#.#.###.##.###.#..#####....##...#.#..#.....####.#..##.##.##.####..#.###.#.#.#.##..#.##..###.####..###.#.#.#.....#.##...##.#.#..###.#.#.###.##.###.#..#####....##...#.#..#.....####.#..##.##.##.####..#.###.#.#.#.##..#.##..###.####..###.#.#.#.....#.##...##.#.#..###.#.#####.##.###.#..#####....##...#.#..#.....####.#..##.##.##.####..#.###.#.#.#.##..#.##..###.####..###.#.#.#.....#.##...##.#.#..###.#.#.###.##.###.#..#####....##...#.#..#.....####.#..##.##.##.####..#.###.#.#.#.##..#.##..###.####..###.#.#.#.....#.##...##.#.#..###.#.#.###.##.###.#..#####....##...#.#..#.....####.#..##.##.##.####..#.###.#.#.#.##..#.##..###.####..###.#.#.#.....#.##...##.#.#..###.#.#.###.##.###.#..#####....##...#.#..#..
####.##....#..#.#.#.##...###..#.#..##.#.##..##...###..#...#...#...#.##...#..#.#..##......##.#.#.####....###.###.....#...##.#....#..###.#.....##...#.#..#..#.###..#..#####....#..#.#.######..#.##....#.#..##..#.#..#.###..#...###.#...#.####..#..#.##.###.###......##....#.#.#...#.####..###.##..#..#.#..#.....##..######..#.#....##.####....#.#..#.....#..####.##..####.#...###......##.###.###......##....#.#.#...#.####..###.##..#..#.#..#.....##..######..#.#....##.####....#.#..#.....#..####.##..####.#...###......##.###.###......##....#.#.#...#.####..###.##..#..#.#..#.....##..######..#.#....##.####....#.#..#.....#..####.##..####.#...###......##.###.###......##....#.#.#...#.####..###.##..#..#.#..#.....##..######..#.#....##.####....#.#..#.....#..####.##..####.#...###......##.###.###......##....#.#.#...#.####..###.##..#..#.#..#.....##..######..#.#....##.####....#.#..#.....#..####.##..####.#...###......##.###.###......##....#.#.#...#.####..###.##..#..#.#..#.....##..######..#.#....##.####....#.#..#.....#.
.##..#.##.#.###..#.##..#.....#....#.#..#..#####.#...#.###...##..#.##.##.##.###.##....#..####.#..##....##...#.#.#.#.#...#.#.#..##..#...##.....#.#####.##..###...#....#...###..#...#...#...##..##...##.##...####..##.###.#.###..###..#.#..#..##.##.#.#..###########.###..####.#.#.#.##.##..##.#.#..#........#.#.#.##..#..##....####.##.##...###..#.####........##...####..#.###..#...##.#..###########.###..####.#.#.#.##.##..##.#.#..#........#.#.#.##..#..##....####.##.##...###..#.####........##...####..#.###..#...##.#..###########.###..####.#.#.#.##.##..##.#.#..#........#.#.#.##..#..##....####.##.##...###..#.####........##...####..#.###..#...##.#..###########.###..####.#.#.#.##.##..##.#.#..#........#.#.#.##..#..##....####.##.##...###..#.####........##...####..#.###..#...##.#..###########.###..####.#.#.#.##.##..##.#.#..#........#.#.#.##..#..##....####.##.##...###..#.####........##...####..#.###..#...##.#..###########.###..####.#.#.#.##.##..##.#.#..#........#.#.#.##..#..##....####.##.##...###..#.####....
.#..###..##..##..######.##.##.#.#....####...#..#.######.#..#.#...#......##.##.##....#####.##...#.###..########.####.#.##.##...###.#......#.........##..#.....#...###..#..###...#.##....#.####.###.#.#.#.##...#####...#.###.#..##...#..###......#.#..#.#...##..#.#.......####.#.##...#..#.###.#..###.#.##.###..#.#...######...##.#.#.......#...##.#.#.##..#.####...#.#.#.#..#..#.#...#..#.#...##..#.#.......####.#.##...#..#.###.#..###.#.##.###..#.#...######...##.#.#.......#...##.#.#.##..#.####...#.#.#.#..#..#.#...#..#.#...##..#.#.......####.#.##...#..#.###.#..###.#.##.###..#.#...######...##.#.#.......#...##.#.#.##..#.####...#.#.#.#..#..#.#...#..#.#...##..#.#.......####.#.##...#..#.###.#..###.#.##.###..#.#...######...##.#.#.......#...##.#.#.##..#.####...#.#.#.#..#..#.#...#..#.#...##..#.#.......####.#.##...#..#.###.#..###.#.##.###..#.#...######...##.#.#.......#...##.#.#.##..#.####...#.#.#.#..#..#.#...#..#.#...##..#.#.......####.#.##...#..#.###.#..###.#.##.###..#.#...######...##.#.#.......#...##.#.#.##..
#.#.##.#.###.##...#.#.#..#.##.#....#.#..#..##.#..#.#.#######.#.######..#..#....#...#.....#........###.#.#...#..#..#..##...##..##.#.##.#.##...#.##.##......##.#...##...#.#.....#####.....#.#.##.#...#.#.##.####.#...##...#..##....##..##....###.#..#..####.###.###..##..#..##.####.#.####.##...#.##..#.###.##.#..#..###..####...#####.#...###...#.#.##...#..#.#.#####..#.#.#..#.####..#..####.###.###..##..#..##.####.#.####.##...#.##..#.###.##.#..#..###..####...#####.#...###...#.#.##...#..#.#.#####..#.#.#..#.####..#..####.###.###..##..#..##.####.#.####.##...#.##..#.###.##.#..#..###..####...#####.#...###...#.#.##...#..#.#.#####..#.#.#..#.####..#..####.###.###..##..#..##.####.#.####.##...#.##..#.###.##.#..#..###..####...#####.#...###...#.#.##...#..#.#.#####..#.#.#..#.####..#..####.###.###..##..#..##.####.#.####.##...#.##..#.###.##.#..#..###..####...#####.#...###...#.#.##...#..#.#.#####..#.#.#..#.####..#..####.###.###..##..#..##.####.#.####.##...#.##..#.###.##.#..#..###..####...#####.#...###...#.#.##...#
.#.####...##.....#.#..#.###.##.##.#...##...#######...#.....##.#..#..#.#####.###.#.#.#.###..#........###...##....##..###.#..#...#######..##..###..#.####.###..#..#..###..##.##.#..##.#..###.##...#.##.#####.#.#.##.##..##...##..##....#...##..####.#...#...#..###...#.#..#..#.###.#.#..##.....#.#....#..#..####..#......#..##.#.#.###....##.###.#.##..##.##..##..###.......##.#....#..#...#...#..###...#.#..#..#.###.#.#..##.....#.#....#..#..####..#......#..##.#.#.###....##.###.#.##..##.##..##..###.......##.#....#..#...#...#..###...#.#..#..#.###.#.#..##.....#.#....#..#..####..#......#..##.#.#.###....##.###.#.##..##.##..##..###.......##.#....#..#...#...#..###...#.#..#..#.###.#.#..##.....#.#....#..#..####..#......#..##.#.#.###....##.###.#.##..##.##..##..###.......##.#....#..#...#...#..###...#.#..#..#.###.#.#..##.....#.#....#..#..####..#......#..##.#.#.###....##.###.#.##..##.##..##..###.......##.#....#..#...#...#..###...#.#..#..#.###.#.#..##.....#.#....#..#..####..#......#..##.#.#.###....##.###.#.##..##.#
###...##........##....#..#..#.##....##.#.##....#.#########..##.#..########..####....##..##...#..#....#.....##.###.#..##.##........#.###.#...#.##...#..###.##.##.....###.####..###.#.###.#....#...#......#...#...##..#...#........#.##.#..####...##.#...#....#.#..###..#.###....####.##.####.###.#.#..#.###.##.#..##.##..###.#...##...####.#.#.#.###.##.##...#.#..##.##..##.##.##..###.#...#....#.#..###..#.###....####.##.####.###.#.#..#.###.##.#..##.##..###.#...##...####.#.#.#.###.##.##...#.#..##.##..##.##.##..###.#...#....#.#..###..#.###....####.##.####.###.#.#..#.###.##.#..##.##..###.#...##...####.#.#.#.###.##.##...#.#..##.##..##.##.##..###.#...#....#.#..###..#.###....####.##.####.###.#.#..#.###.##.#..##.##..###.#...##...####.#.#.#.###.##.##...#.#..##.##..##.##.##..###.#...#....#.#..###..#.###....####.##.####.###.#.#..#.###.##.#..##.##..###.#...##...####.#.#.#.###.##.##...#.#..##.##..##.##.##..###.#...#....#.#..###..#.###....####.##.####.###.#.#..#.###.##.#..##.##..###.#...##...####.#.#.#.###.##.##
##...#..#.#.#.##...#..######..#.#.#.##.#####.####..#.####.####..#....#..######.##..##.#.#........#.#####..#..####.#.##...##.##.##......####...###.##.#.#..###.#.###....#..###...#.#####.##.#.#.##..####..#.##..#.#..#.#......#####.#####.#.#.####.....##..###.#......#.#..#.....#..#.##.........#...###........#.#####..#...##.#.##..#.....#...#.##.#####.#####..#.#..######....####.....##..###.#......#.#..#.....#..#.##.........#...###........#.#####..#...##.#.##..#.....#...#.##.#####.#####..#.#..######....####.....##..###.#......#.#..#.....#.##.##.........#...###........#.#####..#...##.#.##..#.....#...#.##.#####.#####..#.#..######....####.....##..###.#......#.#..#.....#..#.##.........#...###........#.#####..#...##.#.##..#.....#...#.##.#####.#####..#.#..######....####.....##..###.#......#.#..#.....#..#.##.........#...###........#.#####..#...##.#.##..#.....#...#.##.#####.#####..#.#..######....####.....##..###.#......#.#..#.....#..#.##.........#...###........#.#####..#...##.#.##..#.....#...#.##.#####
#.#.##.....##.#...#...##...###..#.#.###..###.........###..##...#.#.#.###..#.#.#..#..##..#....##..#.#.....###...###.#.###.##.##...#.###.##..#.###..###.....#....#.#.#.#.#.#..#..###.....#.###..#.#...#..#..###.###...##..######.#...###.#.#....###.#.#....##.##...###.#...#......#.#...##...#.##.#...#....#.####..#..##....########.#..####..###...##......###.##..#.#.##......###..#.#.#....##.##...###.#...#......#.#...##...#.##.#...#....#.####..#..##....########.#..####..###...##......###.##..#.#.##......###..#.#.#...###.##...###.#...#......#.#...##...#.##.#...#....#.####..#..##....########.#..####..###...##......###.##..#.#.##......###..#.#.#....##.##...###.#...#......#.#...##...#.##.#...#....#.####..#..##....########.#..####..###...##......###.##..#.#.##......###..#.#.#....##.##...###.#...#......#.#...##...#.##.#...#....#.####..#..##....########.#..####..###...##......###.##..#.#.##......###..#.#.#....##.##...###.#...#......#.#...##...#.##.#...#....#.####..#..##....########.#..####..###...##.....
....###.##.##.#..##.#.#.##.#..#.#..##.#.#..###.#####...#.....######..####......#....#.##.#.#...#....#.#.####.#....#..#...####..##...#..####.##..##.#..#####..#..#.....#.#.##.####..#####.#.##.#.#.######..#..###.###...##..####.#.#.....#....#....####.###..###..##.#.#.....#.......###.######..##.#..##.#.#####..####.#...#.#.#..#..##..#...#.##..##.##.#....##...##.####...#...###.####.###..###..##.#.#.....#.......###.######..##.#..##.#.#####..####.#...#.#.#..#..##..#...#.##..##.##.#....##...##.####...#...###.####.###..###..##.#.#.....#.......###.######..##.#..##.#.#####..####.#...#.#.#..#..##..#...#.##..##.##.#....##...##.####...#...###.####.###..###..##.#.#.....#.......###.######..##.#..##.#.#####..####.#...#.#.#..#..##..#...#.##..##.##.#....##...##.####...#...###.####.###..###..##.#.#.....#.......###.######..##.#..##.#.#####..####.#...#.#.#..#..##..#...#.##..##.##.#....##...##.####...#...###.####.###..###..##.#.#.....#.......###.######..##.#..##.#.#####..####.#...#.#.#..#..##..#...#.##..##.##.
###..##.##....#..####..###.#..##.....#..##.#.#.##.......#.#.##.#...###..#.#...#####.###.##...##..#.#..#.###.#..#.##...#..###......#####..#..##.#.#..##..##..###..#.#....####...#.##.#.#.###..###.#.....#######....#......##..##.......#####...##..#..#..##....#..#########.##...####..##.##..##..#...#.##..#..##...#.###..###.#.#.###...#####.#.#.#.#.#...##......#.....##..#######..#..#..##....#..#########.##...####..##.##..##..#...#.##..#..##...#.###..###.#.#.###...#####.#.#.#.#.#...##......#.....##..#######..#..#..##....#..#########.##...####..##.##..##..#...#.##..#..##...#.###..###.#.#.###...#####.#.#.#.#.#...##......#.....##..#######..#..#..##....#..#########.##...####..##.##..##..#...#.##..#..##...#.###..###.#.#.###...#####.#.#.#.#.#...##......#.....##..#######..#..#..##....#..#########.##...####..##.##..##..#...#.##..#..##...#.###..###.#.#.###...#####.#.#.#.#.#...##......#.....##..#######..#..#..##....#..#########.##...####..##.##..##..#...#.##..#..##...#.###..###.#.#.###...#####.#.#.#.#.#..
.......###..#.#....#.####.#.##.....#####.#.##...###.##.##..####.#..#####.#.##.####.##.....#....#.####.....###...#.#####.#####.#....#....#.#..##.##..#.###.#.##.#.#...#........##.#..#...#..##..##.#...#.##.##..####...##...##.........#.#...###..#.##..###.#......#..#.##..##..####...#.#....###...##...###.##...###...###.#....#.....#.#.##.#######.#.#.#......####.#....#.#.#.....#.##..###.#......#..#.##..##..####...#.#....###...##...###.##...###...###.#....#.....#.#.##.#######.#.#.#......####.#....#.#.#.....#.##..###.#......#..#.##..##..####...#.#....###...##...###.##...###...###.#....#.....#.#.##.#######.#.#.#......####.#....#.#.#.#...#.##..###.#......#..#.##..##..####...#.#....###...##...###.##...###...###.#....#.....#.#.##.#######.#.#.#......####.#....#.#.#.....#.##..###.#......#..#.##..##..####...#.#....###...##...###.##...###...###.#....#.....#.#.##.#######.#.#.#......####.#....#.#.#.....#.##..###.#......#..#.##..##..####...#.#....###...##...###.##...###...###.#....#.....#.#.##.#######.#.#.
###.##.###.###.....#..###.#.#.#..#.#..##.#####....###.#..##.###...##.#..#..#.....###.....##.###.#.##.####...##...##.##..#.#...#.####.#.##.....#.##...###...#..###..#...####...###.##########..###..###..#.####.###.#.#.###.#..#....##..#.#.###..####.#..#..###.##..#...#..##.#.#.###.##...##.#..#.#.#.#...#..##.#.###.#.##..#.#....#...#.#.##...#.##...##..#..###.........#.#...###.###.#..#..###.##..#...#..##.#.#.###.##...##.#..#.#.#.#...#..##.#.###.#.##..#.#....#...#.#.##...#.##...##..#..###.........#.#...###.###.#..#..###.##..#...#..##.#.#.###.##...##.#..#.#.#.#...#..##.#.###.#.##..#.#....#...#.#.##...#.##...##..#..###.........#.#...###.###.#..#..###.##..#...#..##.#.#.###.##...##.#..#.#.#.#...#..##.#.###.#.##..#.#....#...#.#.##...#.##...##..#..###.........#.#...###.###.#..#..###.##..#...#..##.#.#.###.##...##.#..#.#.#.#...#..##.#.###.#.##..#.#....#...#.#.##...#.##...##..#..###.........#.#...###.###.#..#..###.##..#...#..##.#.#.###.##...##.#..#.#.#.#...#..##.#.###.#.##..#.#....#...#.#.##...#.##...##
###..####....#.##.#.#.#...##.#.#.###..#.##...#..#.#.##.....##.....#..##.###...###.#.#...##.###.#...##..#####.......##.#.##.#.##.#...#..###.#.#..#...##.###..#.##.##..#.##.####...##...#.###..##...#.#.#.###..####.#....#...##...#...#.#..#.####...##.######.##.##.#.#.#.#.###.#..#..####.#.###..##.#....#..##.#..##..#.#..#.####.###.####..#..###...#..#...#######....##.#.##....#.#.##.######.##.##.#.#.#.#.###.#..#..####.#.###..##.#....#..##.#..##..#.#..#.####.###.####..#..###...#..#...#######....##.#.##....#.#.##.######.##.##.#.#.#.#.###.#..#..####.#.###..##.#....#..##.#..##..#.#..#.####.###.####..#..###...#..#...#######....##.#.##....#.#.##.######.##.##.#.#.#.#.###.#..#..####.#.###..##.#....#..##.#..##..#.#..#.####.###.####..#..###...#..#...#######....##.#.##....#.#.##.######.##.##.#.#.#.#.###.#..#..####.#.###..##.#....#..##.#..##..#.#..#.####.###.####..#..###...#..#...#######....##.#.##....#.#.##.######.##.##.#.#.#.#.###.#..#..####.#.###..##.#....#..##.#..##..#.#..#.####.###.####..#..###...#..#.
#.#..#.##.#......####.####..#..#.##..##...#.#.#....###..##..#..##.......#######..####.###....###.##.#.###.##..###.#.##.##...#..##..#.#..##.........##.##.#.##..#.###.####.#.###.#.##....###..#..####..####.#...#.###..######.....#....##.....####.###...#...####...#...#.###.#..#.###.#.#.###..##...#.#..#.#.#...##.#..######.#.##.##..#.##.#.##..###.#...#.....##.....#.###.#..#....###...#...####...#...#.###.#..#.###.#.#.###..##...#.#..#.#.#...##.#..######.#.##.##..#.##.#.##..###.#...#.....##.....#.###.#..#....###...#...####...#...#.###.#..#.###.#.#.###..##...#.#..#.#.#...##.#..######.#.##.##..#.##.#.##..###.#...#.....##.....#.###.#..#....###...#...####...#...#.###.#..#.###.#.#.###..##...#.#..#.#.#...##.#..######.#.##.##..#.##.#.##..###.#...#.....##.....#.###.#..#....###...#...####...#...#.###.#..#.###.#.#.###..##...#.#..#.#.#...##.#..######.#.##.##..#.##.#.##..###.#...#.....##.....#.###.#..#....###...#...####...#...#.###.#..#.###.#.#.###..##...#.#..#.#.#...##.#..######.#.##.##..#.##.#.##..###.#..
#...#.#..##..........######..###.....#.......#.##....#.#..#...#......####.....##.##..#..#####...#..#.#....#...#...####.##..#.#####..#......##.##.##......#..##..#..#...#.#.####.....###.#.##...##.#..####.##.#......#..#.#......#.#.###..###.#.#.....#...#..###...#..####..##..##..##..#.##..#.#.##.#.......##.#..######.#.###.#.#...#..#.#..#.#..#..#...#..####...#.......##..###.#....#...#..###...#..####..##..##..##..#.##..#.#.##.#.......##.#..######.#.###.#.#...#..#.#..#.#..#..#...#..####...#.......##..###.#....#...#..###...#..####..##..##..##..#.##..#.#.##.#.......##.#..######.#.###.#.#...#..#.#..#.#..#..#...#..####...#.......##..###.#....#...#..###...#..####..##..##..##..#.##..#.#.##.#.......##.#..######.#.###.#.#...#..#.#..#.#..#..#...#..####...#.......##..###.#....#...#..###...#..####..##..##..##..#.##..#.#.##.#.......##.#..######.#.###.#.#...#..#.#..#.#..#..#...#..####...#.......##..###.#....#...#..###...#..####..##..##..##..#.##..#.#.##.#.......##.#..######.#.###.#.#...#..#.#..#.#..#..#...
#.#####..#.#.#.#...##.....###.......#..##....##.####.......####..######.#.#..##.#.###.#..#..#.#..#####.....##.#.#.##.##..##.#.#....###.##.###.##.#....#..####.##.#.#..#.##.#..###.##.......#.#####.#.#..##..#....##....##..##.#..#..#####.###.##..#.###.##..####......##....##.###.##..#####..#..###.##.#.##.#####...#.#...#..#...##..#..##..##..##.##..#.##..#..#..#..#.##...#####..#.###.##..####......##....##.###.##..#####..#..###.##.#.##.#####...#.#...#..#...##..#..##..##..##.##..#.##..#..#..#..#.##...#####..#.###.##..####......##....##.###.##..#####..#..###.##.#.##.#####...#.#...#..#...##..#..##..##..##.##..#.##..#..#..#..#.##...#####..#.###.##..####......##....##.###.##..#####..#..###.##.#.##.#####...#.#...#..#...##..#..##..##..##.##..#.##..#..#..#..#.##...#####..#.###.##..####......##....##.###.##..#####..#..###.##.#.##.#####...#.#...#..#...##..#..##..##..##.##..#.##..#..#..#..#.##...#####..#.###.##..####......##....##.###.##..#####..#..###.##.#.##.#####...#.#...#..#...##..#..##..##..##.##..#
#.#..##..#...#.##.#..##.#...#..#...###.#...#..#....#.....#..#..#####.###..###.#.#..#.#.##...##....#..#.#..#...####.##.##.#....####.#.#..#####..#.#..##...##.###..#....###...#.#.#.####.#..#.#..###......#..#..##.#####.#....#...#.#....#.###.#..#..#.#.##..###...#.####.#.##....##......#.#.#..#..#.##....##...###.####.#######.####.#.#...#######.#.##...#.#.##...#.#.###..#.###.#...#.#.##..###...#.####.#.##....##......#.#.#..#..#.##....##...###.####.#######.####.#.#...#######.#.##...#.#.##...#.#.###..#.###.#...#.#.##..###...#.####.#.##....##......#.#.#..#..#.##....##...###.####.#######.####.#.#...#######.#.##...#.#.##...#.#.###..#.###.#...#.#.##..###...#.####.#.##....##......#.#.#..#..#.##....##...###.####.#######.####.#.#...#######.#.##...#.#.##...#.#.###..#.###.#...#.#.##..###...#.####.#.##....##......#.#.#..#..#.##....##...###.####.#######.####.#.#...#######.#.##...#.#.##...#.#.###..#.###.#...#.#.##..###...#.####.#.##....##......#.#.#..#..#.##....##...###.####.#######.####.#.#...#######.#.##..
.#....##.....#.#.#.#########.#...##..#.#.######.#######...##.####.##.#..##...#.#........#.#.##..##.....#.#.#.#.#.#..###..###.###.###.#..#.###....#..##...#.#..#.#.#.#.#..##.#.##...#.#####...###.........#.####...###.#......#...#.#.##......##.....####.#.#..#.##.#......##..#........#.#..#.###.#.#.#.#.###.#.##.......#.###..###.######.##.###.###....###..#.....#...###.#...####...####.#.#..#.##.#......##..#........#.#..#.###.#.#.#.#.###.#.##.......#.###..###.######.##.###.###....###..#.....#...###.#...####...####.#.#..#.##.#......##..#........#.#..#.###.#.#.#.#.###.#.##.......#.###..###.######.##.###.###....###..#.....#...###.#...####...####.#.#..#.##.#......##..#........#.#..#.###.#.#.#.#.###.#.##.......#.###..###.######.##.###.###....###..#.....#...###.#...####...####.#.#..#.##.#......##..#........#.#..#.###.#.#.#.#.###.#.##.......#.###..###.######.##.###.###....###..#.....#...###.#...####...####.#.#..#.##.#......##..#........#.#..#.###.#.#.#.#.###.#.##.......#.###..###.######.##.###.###....
##.#####..#..####.#.##..########.#..###.#####..#...###.#..#.#.##....###.####..#.#####...###.#.#.####.##...#####.####...#...#.###...#...#.###..##.#...###.####.##.#..##...########....#.#...##..#..##.##.#.####...#..####.#####.##.#.#.###....##..#.....##.###..#.#.#..###..##...#.#.#.##....#..#.#.#..#.###.#.##.###.###...###.....#.#.....#.#.#..#####...#.##.....#.##..#...##.....#.....##.###..#.#.#..###..##...#.#.#.##....#..#.#.#..#.###.#.##.###.###...###.....#.#.....#.#.#..#####...#.##.....#.##..#...##.....#.....##.###..#.#.#..###..##...#.#.#.##....#..#.#.#..#.###.#.##.###.###...###.....#.#.....#.#.#..#####...#.##.....#.##..#...##.....#.....##.###..#.#.#..###..##...#.#.#.##....#..#.#.#..#.###.#.##.###.###...###.....#.#.....#.#.#..#####...#.##.....#.##..#...##.....#.....##.###..#.#.#..###..##...#.#.#.##....#..#.#.#..#.###.#.##.###.###...###.....#.#.....#.#.#..#####...#.##.....#.##..#...##.....#.....##.###..#.#.#..###..##...#.#.#.##.#..#..#.#.#..#.###.#.##.###.###...###.....#.#.....#.#.#..#####..
#.#####.#.#...##......#....#.#.##.###..##..#...#.#..#....#..##.#...#.#..#.........#.###.#.#...#...##.###..##.##.#..#.##.#.##..##.###.#.###.#.#.#......##..###..##...##..##..#...##.#..###........#..######.#..######.#.#...##.#####..#..#.#....#.###.####.##..#.#.###......##.#..##.##...#..#######.#.#....#.#.#.#.#.##.##...##.#..##.#..######.#.#..#.#..###.##.#..#..##.########..###.####.##..#.#.###......##.#..##.##...#..#######.#.#....#.#.#.#.#.##.##...##.#..##.#..######.#.#..#.#..###.##.#..#..##.########..###.####.##..#.#.###......##.#..##.##...#..#######.#.#....#.#.#.#.#.##.##...##.#..##.#..######.#.#..#.#..###.##.#..#..##.########..###.####.##..#.#.###......##.#..##.##...#..#######.#.#....#.#.#.#.#.##.##...##.#..##.#..######.#.#..#.#..###.##.#..#..##.########..###.####.##..#.#.###......##.#..##.##...#..#######.#.#....#.#.#.#.#.##.##...##.#..##.#..######.#.#..#.#..###.##.#..#..##.########..###.####.##..#.#.###......##.#..##.##...#..#######.#.#....#.#.#.#.#.##.##...##.#..##.#..######.#.#..#.#.
#.#######...#.#.###..##.#...##.##.#.##..####..###...#...#.###.#...#...#.#.#..###.######.#.#.#####.##.#.##.#.....####..#.#.##.#.#.######.##..##..#.##..#.####.#....#.....##...#.#........#.#..#####..###.####.#...#..###.##.#....#..###..#.#.###..#...#.###.#.#.#.##...###.#..###.##.#...#...##.#.#..##...#####.#.##...##......##.####...#####.#.###.#...#.#....#...#.#...##..##.##..#...#.###.#.#.#.##...###.#..###.##.#...#...##.#.#..##...#####.#.##...##......##.####...#####.#.###.#...#.#....#...#.#...##..##.##..#...#.###.#.#.#.##...###.#..###.##.#...#...##.#.#..##...#####.#.##...##......##.####...#####.#.###.#...#.#....#...#.#...##..##.##..#...#.###.#.#.#.##...###.#..###.##.#...#...##.#.#..##...#####.#.##...##......##.####...#####.#.###.#...#.#....#...#.#...##..##.##..#...#.###.#.#.#.##...###.#..###.##.#...#...##.#.#..##...#####.#.##...##......##.####...#####.#.###.#...#.#....#...#.#...##..##.##..#...#.###.#.#.#.##...###.#..###.##.#...#...##.#.#..##...#####.#.##...##......##.####...#####.#.###.#...#
####...#..###..#..#.#.#....##.###..####.#..##.#.....####.#..#.#..##..........###.#####....#.#.###.##..##..####..#.....#...#.##.#..#.#....#..#...#...##...#...######...##...#....#######.#...#..#..##....##...#..###.##.#..#.####.#....#..#.......#.#.##..##.#....#.##.###..#.###....#..##.#.#.#..#.#...#.#..#.###.##....#.##.#..#.##....##.#.#.......###.##.....#.########..#...#.#.#.#.##..##.#....#.##.###..#.###....#..##.#.#.#..#.#...#.#..#.###.##....#.##.#..#.##....##.#.#.......###.##.....#.########..#...#.#.#.#.##..##.#....#.##.###..#.###....#..##.#.#.#..#.#...#.#..#.###.##....#.##.#..#.##....##.#.#.......###.##.....#.########..#...#.#.#.#.##..##.#....#.##.###..#.###....#..##.#.#.#..#.#...#.#..#.###.##....#.##.#..#.##....##.#.#.......###.##.....#.########..#...#.#.#.#.##..##.#....#.##.###..#.###....#..##.#.#.#..#.#...#.#..#.###.##....#.##.#..#.##....##.#.#.......###.##.....#.########..#...#.#.#.#.##..##.#....#.##.###..#.###....#..##.#.#.#..#.#...#.#..#.###.##....#.##.#..#.##....##.#.#.......###.
..####..#...##.#.#..##.#..#.##.###.##.##....#..##.#.#.#....##..#.#####..###.##.#.#..#...###..##....###......#...###.#..#.###.#######...####.#.#......###.###.#....#....##.#.....##.#..#.......#.####..###..##.##.#.#.##.#..##..#....###.###..####.###..###..###.###.###.#..#####..#.#..####.####..#.#..#.#..#......#..#.###.#..#.##..##....##.###...######....###.##....#.##.....#...###..###..###.###.###.#..#####..#.#..####.####..#.#..#.#..#......#..#.###.#..#.##..##....##.###...######....###.##....#.##.....#...###..###..###.###.###.#..#####..#.#..####.####..#.#..#.#..#......#..#.###.#..#.##..##....##.###...######....###.##....#.##.....#...###..###..###.###.###.#..#####..#.#..####.####..#.#..#.#..#......#..#.###.#..#.##..##....##.###...######....###.##....#.##.....#...###..###..###.###.###.#..#####..#.#..####.####..#.#..#.#..#......#..#.###.#..#.##..##....##.###...######....###.##....#.##.....#...###..###..###.###.###.#..#####..#.#..####.####..#.#..#.#..#......#..#.###.#..#.##..##....##.###...#####
.#..#..####...#.##.##...########.#.#.#.#..#####.#.#.....#..##.##.##...#.####..####..###..####..##..####.#.##..###.#####.##.##.....##.######.......#....#.####..#....##..#.#...#..#..####.#...#.#.##..#..##.###..#..#..#....#...##..####.#.##.##.###.#.##..#.#.#.###...#...##.###.###.....#.#.####.##.#.##..##...#.#.#...#.##..#...#.#......#..#...#.##.##.#.####.#..#..#...#.#..#..###.#.##..#.#.#.###...#...##.###.###.....#.#.####.##.#.##..##...#.#.#...#.##..#...#.#......#..#...#.##.##.#.####.#..#..#...#.#..#..###.#.##..#.#.#.###...#...##.###.###.....#.#.####.##.#.##..##...#.#.#...#.##..#...#.#......#..#...#.##.##.#.####.#..#..#...#.#..#..###.#.##..#.#.#.###...#...##.###.###.....#.#.####.##.#.##..##...#.#.#...#.##..#...#.#......#..#...#.##.##.#.####.#..#..#...#.#..#..###.#.##..#.#.#.###...#...##.###.###.....#.#.####.##.#.##..##...#.#.#...#.##..#...#.#......#..#...#.##.##.#.####.#..#..#...#.#..#..###.#.##..#.#.#.###...#...##.###.###.....#.#.####.##.#.##..##...#.#.#...#.##..#...#.#......#..#...#.##.##
#####..####...#..#..##..#...#..##..#####...#..##...##.##....#..#..#.#.##.#..#.....##..#...#....#...#.#..#...##....#.....####.#..##########...#..#.##..#.##..#####.#.#.###.#######..#..###.#.##.##.#..#.....#..#..##....#.#.#.#.###.#.##.###..##.##.####.##...##..##.###.###.#.#....#.....#..###.##...#..#..#.##....#.##..###....#.#.#..##...#.##.#....#.####..#...#...####.#.#.#.####.####.##...##..##.###.###.#.#....#.....#..###.##...#..#..#.##....#.##..###....#.#.#..##...#.##.#....#.####..#...#...####.#.#.#.####.####.##...##..##.###.###.#.#....#.....#..###.##...#..#..#.##....#.##..###....#.#.#..##...#.##.#....#.####..#...#...####.#.#.#.####.####.##...##..##.###.###.#.#....#.....#..###.##...#..#..#.##....#.##..###....#.#.#..##...#.##.#....#.####..#...#...####.#.#.#.####.####.##...##..##.###.###.#.#....#.....#..###.##...#..#..#.##....#.##..###....#.#.#..##...#.##.#....#.####..#...#...####.#.#.#.####.####.##...##..##.###.###.#.#....#.....#..###.##...#..#..#.##....#.##..###....#.#.#..##...#.##.#....#.#
#.##.#...###.....##.#...#.##.#.#.#..#...#####.##.#...##.##...#.#.#..#######...#.#.##.#...#..##.##....#.#...#.##.###.#####.#.#.####.#.##...##.#..#.#.##.#...#.#..##...#.#.#.#####..#.#..##..#..##.#..###..#.#.#.....#######.###.#.#...###.....#.#...#..#..#.#.##.###.###.#..##...#....##.#.#.#...#.####....#..#...#.##.##...#.#.#.#.#.#######.#####.###.##...#..#####..#.##......##.#..#..#..#.#.##.###.###.#..##...#....##.#.#.#...#.####....#..#...#.##.##...#.#.#.#.#.#######.#####.###.##...#..#####..#.##......##.#..#..#..#.#.##.###.###.#..##...#....##.#.#.#...#.####....#..#...#.##.##...#.#.#.#.#.#######.#####.###.##...#..#####..#.##......##.#..#..#..#.#.##.###.###.#..##...#....##.#.#.#...#.####....#..#...#.##.##...#.#.#.#.#.#######.#####.###.##...#..#####..#.##......##.#..#..#..#.#.##.###.###.#..##...#....##.#.#.#...#.####....#..#...#.##.##...#.#.#.#.#.#######.#####.###.##...#..#####..#.##......##.#..#..#..#.#.##.###.###.#..##...#....##.#.#.#...#.####....#..#...#.##.##...#.#.#.#.#.#######.#####.###.##
###..#..#.##.#.#.##.####..##.#.##.#...##...####.#.#.#.#######..##...#.####.####.####.##.##.###....#..#....#.......#..#.#.........##.#####.##....####..#.####..###.##.####.##..#..##....#....##.#.#..##.##.......##...#.##..#.#...###..####.#..###..###...#.#.#.##.#..#.#...##..##......####.###..........###.#.#.#..#...##........#.###.##.##.#.#.#.#..#####.###..###...##.###..##....###...#.#.#.##.#..#.#...##..##......####.###..........###.#.#.#..#...##........#.###.##.##.#.#.#.#..#####.###..###...##.###..##....###...#.#.#.##.#..#.#...##..##......####.###..........###.#.#.#..#...##........#.###.##.##.#.#.#.#..#####.###..###...##.###..##....###...#.#.#.##.#..#.#...##..##......####.###..........###.#.#.#..#...##........#.###.##.##.#.#.#.#..#####.###..###...##.###..##....###...#.#.#.##.#..#.#...##..##......####.###..........###.#.#.#..#...##........#.###.##.##.#.#.#.#..#####.###..###...##.###..##....###...#.#.#.##.#..#.#...##..##......####.###..........###.#.#.#..#...##........#.###.##.##.#.#.#.#..##
#.###..##...##..##.#.#.##.##..#.#####.##.##.##...#..#.#####.##.###.#.##.#.##.#.###...##.###.##..#..##.##.#.##..##.#.....#...#.####..#.##.....#..###..#.###.####.#.##..###..####..###...#.##...##..#.##.....###..###.#####....#.#####..#.#..#.#.....#......#..##.#.######.##.##.#.#.#.......########..#.#...#..#######.##.#......######...#.###...#.####..#....#...#.#.#.##.####.#.##..#......#..##.#.######.##.##.#.#.#.......########..#.#...#..#######.##.#......######...#.###...#.####..#....#...#.#.#.##.####.#.##..#......#..##.#.######.##.##.#.#.#.......########..#.#...#..#######.##.#......######...#.###...#.####..#....#...#.#.#.##.####.#.##..#......#..##.#.######.##.##.#.#.#.......########..#.#...#..#######.##.#......######...#.###...#.####..#....#...#.#.#.##.####.#.##..#......#..##.#.######.##.##.#.#.#.......########..#.#...#..#######.##.#......######...#.###...#.####..#....#...#.#.#.##.####.#.##..#......#..##.#.######.##.##.#.#.#.......########..#.#...#..#######.##.#......######...#.###...#.####..
.##.#.#.####.#...#####..##..#.#.#....###..####.#.....#.....#.###.#####.#..###.##.###.#####.#....#...#..#..#####..###.##.#...#.#.#..#.#.#..##..##.#.##..##...####.####.##.#....##.....#.###.#..##.##....#.#####.##.#.####.#.#.#.#.#......#.#...##.#.#######..#.##.##..##.######.#...#.#...##.#..##.##...##.#####.###..#..#####..##....#....###.#.#...#.#.......#.#.#.###..#.#.#..###.#.#######..#.##.##..##.######.#...#.#...##.#..##.##...##.#####.###..#..#####..##....#....###.#.#...#.#.......#.#.#.###..#.#.#..###.#.#######..#.##.##..##.######.#...#.#...##.#..##.##...##.#####.###..#..#####..##....#....###.#.#...#.#.......#.#.#.###..#.#.#..###.#.#######..#.##.##..##.######.#...#.#...##.#..##.##...##.#####.###..#..#####..##....#....###.#.#...#.#.......#.#.#.###..#.#.#..###.#.#######..#.##.##..##.######.#...#.#...##.#..##.##...##.#####.###..#..#####..##....#....###.#.#...#.#.......#.#.#.###..#.#.#..###.#.#######..#.##.##..##.######.#...#.#...##.#..##.##...##.#####.###..#..#####..##....#....###.#.#...#.#..
##.#...#.####.#####....##.#...#..##.####.#.#...###.###..###.##.#.#####.###.##...###.##.######.#.#...###.#.......##...##..###.#.#..#####.#.####.#..#..#...#.#...##.###.#.###....#.###.#.........#..#.#..####.#.#..##.#..###..##..#.##....#.......#.##.#.#...####.#..####.#####......#.##.#..#..#..#.###...##...##.#...#.#.###.#....###...##.#..###.###...#####.###..###...##.#........##.#.#...####.#..####.#####......#.##.#..#..#..#.###...##...##.#...#.#.###.#....###...##.#..###.###...#####.###..###...##.#........##.#.#...####.#..####.#####......#.##.#..#..#..#.###...##...##.#...#.#.###.#....###...##.#..###.###...#####.###..###...##.#........##.#.#...####.#..####.#####......#.##.#..#..#..#.###...##...##.#...#.#.###.#....###...##.#..###.###...#####.###..###...##.#........##.#.#...####.#..####.#####......#.##.#..#..#..#.###...##...##.#...#.#.###.#....###...##.#..###.###...#####.###..###...##.#........##.#.#...####.#..####.#####......#.##.#..#..#..#.###...##...##.#...#.#.###.#....###...##.#..###.###...#
###########...###.#.#####..#..#......###..##.#.##..#....###..###.#.#.##.#..#.###.#...#..#.#.##...#...#.#....#....#.#...#...#..##.#.#.##.#..###.#..#.##..##....#####....##.#..#####.#..##.####...#.#...##.#####.#..###.......####..#..######.###.##...#..######.#...##.####.####.#..###.#.######.####.##.#.##..#.##..###...#...#####.#..##..##.##.#...####.###.#.#.#.#.#..###..#.#####...#..######.#...##.####.####.#..###.#.######.####.##.#.##..#.##..###...#...#####.#..##..##.##.#...####.###.#.#.#.#.#..###..#.#####...#..######.#...##.####.####.#..###.#.######.####.##.#.##..#.##..###...#...#####.#..##..##.##.#...####.###.#.#.#.#.#..###..#.#####...#..######.#...##.####.####.#..###.#.######.####.##.#.##..#.##..###...#...#####.#..##..##.##.#...####.###.#.#.#.#.#..###..#.#####...#..######.#...##.####.####.#..###.#.######.####.##.#.##..#.##..###...#...#####.#..##..##.##.#...####.###.#.#.#.#.#..###..#.#####...#..######.#...##.####.####.#..###.#.######.####.##.#.##..#.##..###...#...#####.#..##..##.##.#...####
..##.#......####.######...##.#####..###....##.#..........#....#.#..###.##.#.....#####.#..##.##.##..##...##..#.....#..###..#####...####.#....##..##.##..#.##....#..###..#.###..#..##.#....#.##.##..#####.##.##....#...##.##...#....##...#..#....#...###.##.##.....##.##..###..##.#...###.#.###.####.#.##.######....#.#.....#.......#..#.##.....#.#...#...####....#.##.#.....##.#....#..###.##.##.....##.##..###..##.#...###.#.###.####.#.##.######....#.#.....#.......#..#.##.....#.#...#...####....#.##.#.....##.#....#..###.##.##.....##.##..###..##.#...###.#.###.####.#.##.######....#.#.....#.......#..#.##.....#.#...#...####....#.##.#.....##.#....#..###.##.##.....##.##..###..##.#...###.#.###.####.#.##.######....#.#.....#.......#..#.##.....#.#...#...####....#.##.#.....##.#....#..###.##.##.....##.##..###..##.#...###.#.###.####.#.##.######....#.#.....#...#...#..#.##.....#.#...#...####....#.##.#.....##.#....#..###.##.##.....##.##..###..##.#...###.#.###.####.#.##.######....#.#.....#.......#..#.##.....#.#...#...#
.#..####..#......##....##.#..#...#.######..#.##.#.#.###..##.#.###...##..##.###.#.#..##...#.#.###.##......#.#.####...####....#.#.###.####.###.##..#..#.###..#.####.#..##.....####.##..#.#######.##.##########.#####.#.##.##.##..##......#.#.#.###.....#.........#...##..#..##......#.##.........#..#.####.##.##...##..##...####...##.##.####.#....#.#...####...#.#....##.#..#.#...#......#.........#...##..#..##...#..#.##.........#..#.####.##.##...##..##...####...##.##.####.#....#.#...####...#.#....##.#..#.#...#......#.........#...##..#..##......#.##.........#..#.####.##.##...##..##...####...##.##.####.#....#.#...####.#.#.#....##.#..#.#...#......#.........#...##..#..##......#.##.........#..#.####.##.##...##..##...####...##.##.####.#....#.#...####...#.#....##.#..#.#...#......#.........#...##..#..##......#.##.........#..#.####.##.##...##..##...####...##.##.####.#....#.#...####...#.#....##.#..#.#...#......#.........#...##..#..##......#.##.........#..#.####.##.##...##..##...####...##.##.####.#....#.#...##
.#....#....##.#.#...#..##.#########...#.#.##..#.....###...#.##.###..#.....###..##.###..####..#..#.#..##.#.#.###..#.#...#.#.#.##.#..##......#..#.....#..#...###..#.####.#.##...###..##..#.##..##.###.#.###.#..##.#..####.#####.###..#....#.#...#.####.##.##.#...#.###..#####..##.###...###..##.#..###.###.#.#.#..#####.#.#.#.#.#..##..#..#..#..#.#..###.#..###..##.#..#...#.#....#.#.###.##.##.#...#.###..#####..##.###...###..##.#..###.###.#.#.#..#####.#.#.#.#.#..##..#..#..#..#.#..###.#..###..##.#..#...#.#....#.#.###.##.##.#...#.###..#####..##.###...###..##.#..###.###.#.#.#..#####.#.#.#.#.#..##..#..#..#..#.#..###.#..###..##.#..#...#.#....#.#.###.##.##.#...#.###..#####..##.###...###..##.#..###.###.#.#.#..#####.#.#.#.#.#..##..#..#..#..#.#..###.#..###..##.#..#...#.#....#.#.###.##.##.#...#.###..#####..##.###...###..##.#..###.###.#.#.#..#####.#.#.#.#.#..##..#..#..#..#.#..###.#..###..##.#..#...#.#....#.#.###.##.##.#...#.###..#####..##.###...###..##.#..###.###.#.#.#..#####.#.#.#.#.#..##..#..#..#..#.#..###.#.
##..........#####..#.#.#.##..##...##..#########.#.#.#.#..#.##.###..#.#.....#.#####..#####..#.#......#.###.###..##.#..#...##.##...###.#########....#.##.##..#..#..###....###.##.##..........##..##.#.#.#.#..##.##.####...#.####.##..#..###..##..#....##..##.#.##.##...##.##...##...##.#..#.#.#.....####...####.##.#..##..#......#..#..#.#..#...##...###.#..#.#..###.#..#...##.#.#.###...##..##.#.##.##...##.##...##...##.#..#.#.#.....####...####.##.#..##..#......#..#..#.#..#...##...###.#..#.#..###.#..#...##.#.#.###...##..##.#.##.##...##.##...##...##.#..#.#.#.....####...####.##.#..##..#......#..#..#.#..#...##...###.#..#.#..###.#..#...##.#.#.###...##..##.#.##.##...##.##...##...##.#..#.#.#.....####...####.##.#..##..#......#..#..#.#..#...##...###.#..#.#..###.#..#...##.#.#.###...##..##.#.##.##...##.##...##...##.#..#.#.#.....####...####.##.#..##..#......#..#..#.#..#...##...###.#..#.#..###.#..#...##.#.#.###...##..##.#.##.##...##.##...##...##.#..#.#.#.....####...####.##.#..##..#......#..#..#.#..#...##...###.#.
#..#.#....##.##...#.#...#...##..#####..#....##..#..####.####...########.##.####.##....#.###.#######.#.##.#....##.#.#####...##..##.#.###.#.#.#####..###.#..#..##..#.###.####..####.#.#.###..###..###....#####..##..#.#####..##.#..#.##.......#..#...##.#...#.#.#...#.#.###..#..###...##.#..####..###..###..#..#..###.##.#.##.####..##.##...#.##.##.#..#####.#....#.##..#...#.##..##....##.#...#.#.#...#.#.###..#..###...##.#..####..###..###..#..#..###.##.#.##.####..##.##...#.##.##.#..#####.#....#.##..#...#.##..##....##.#...#.#.#...#.#.###..#..###...##.#..####..###..###..#..#..###.##.#.##.####..##.##...#.##.##.#..#####.#....#.##..#...#.##..##....##.#...#.#.#...#.#.###..#..###...##.#..####..###..###..#..#..###.##.#.##.####..##.##...#.##.##.#..#####.#....#.##..#...#.##..##....##.#...#.#.#...#.#.###..#..###...##.#..####..###..###..#..#..###.##.#.##.####..##.##...#.##.##.#..#####.#....#.##..#...#.##..##....##.#...#.#.#...#.#.###..#..###...##.#..####..###..###..#..#..###.##.#.##.####..##.##...#.##.##.#..####
.#######.#######..##.#..#.#.##..##.####.###......#..#....#..#.#.#.##.#.####..########.##.######.#.###...##..#.##.####.#.###.##..#.#.#.####.####.#...#.######.###.#......###.#.#...##..#.#...##...#.#...##..#.##.##.###..##.#####.....#...#.#........#...###..######..##.####...##...#.##.##...#.#.##.#......##.#..###.#....##.####...###..#######...##..##.##.##..##..##..#...#...#....#...###..######..##.####...##...#.##.##...#.#.##.#......##.#..###.#....##.####...###..#######...##..##.##.##..##..##..#...#...#....#...###..######..##.####...##...#.##.##...#.#.##.#......##.#..###.#....##.####...###..#######...##..##.##.##..##..##..#...#...#....#...###..######..##.####...##...#.##.##...#.#.##.#......##.#..###.#....##.####...###..#######...##..##.##.##..##..##..#...#...#....#...###..######..##.####...##...#.##.##...#.#.##.#......##.#..###.#....##.####...###..#######...##..##.##.##..##..##..#...#...#....#...###..######..##.####...##...#.##.##...#.#.##.#......##.#..###.#....##.####...###..#######...##..#
.#......#.#.###...#.#.#.#####...#..##..#....######...###......#.#.#..##...#..##.#.###..#####...#..###...#...###.###.#####.######.#..#....##....########.#..#.#...#..#.#####..##.####........#..#.####.##...##.....#.#..#.....#.##.####.#####.#####...#..###....#.#.###.##.#..#####.....#..##..##.#.#.######.##..####...##.#.###.#.####.###..####.##...#.##.##.##.##.#....#.###....#.#...#..###....#.#.###.##.#..#####.....#..##..##.#.#.######.##..####...##.#.###.#.####.###..####.##...#.##.##.##.##.#....#.###....#.#...#..###....#.#.###.##.#..#####.....#..##..##.#.#.######.##..####...##.#.###.#.####.###..####.##...#.##.##.##.##.#....#.###....#.#...#..###..#.#.#.###.##.#..#####.....#..##..##.#.#.######.##..####...##.#.###.#.####.###..####.##...#.##.##.##.##.#....#.###....#.#...#..###....#.#.###.##.#..#####.....#..##..##.#.#.######.##..####...##.#.###.#.####.###..####.##...#.##.##.##.##.#....#.###....#.#...#..###....#.#.###.##.#..#####.....#..##..##.#.#.######.##..####...##.#.###.#.####.###..####.##...#.#
#.#....#..#..#...#.#.#.#.##.#.##.#.#.###.#.#####.#.####..#######..##.#..##.####.#...#.#......#..###..######...#.#...#.#.#...#..##..#.........#...###.#.##.###...##.##..###.#..##.#...#.#.#...#.##.##.##.#....####..######.#.##.####....#.##.##.#####..##..#...#.##.#..##.#..#.#.##.#...##.#...#.##..#.#.#..###.#####.#....#.##.#.###.#.######.###..##.##...######.....###.##..##...####..##..#...#.##.#..##.#..#.#.##.#...##.#...#.##..#.#.#..###.#####.#....#.##.#.###.#.######.###..##.##...######.....###.##..##...####..##..#...#.##.#..##.#..#.#.##.#...##.#...#.##..#.#.#..###.#####.#....#.##.#.###.#.######.###..##.##...######.....###.##..##...####..##..#...#.##.#..##.#..#.#.##.#...##.#...#.##..#.#.#..###.#####.#....#.##.#.###.#.######.###..##.##...######.....###.##..##...####..##..#...#.##.#..##.#..#.#.##.#...##.#...#.##..#.#.#..###.#####.#....#.##.#.###.#.######.###..##.##...######.....###.##..##...####..##..#...#.##.#..##.#..#.#.##.#...##.#...#.##..#.#.#..###.#####.#....#.##.#.###.#.######.###..##.##.
...##.#...#....#.....##.#...#..####.#...##.##.......#####..###.###.#...##.###..####.###.....##.#..#.#.#.#.###...##..##..#....##.#..##...#......#.##.##....##.##.#.#.###..###..#.####...###..####.########.....##..#.#..#.####.#.#..#.###...##.#.....#...#...##.###..#######..##...##.#.##.##.#..##..#.##..####...#...###...#..###..###.#.#####....###.####.#.###.###.#..#......#.###...#...#...##.###..#######..##...##.#.##.##.#..##..#.##..####...#...###...#..###..###.#.#####....###.####.#.###.###.#..#......#.###...#...#...##.###..#######..##...##.#.##.##.#..##..#.##..####...#...###...#..###..###.#.#####....###.####.#.###.###.#..#......#.###...#...#...##.###..#######..##...##.#.##.##.#..##..#.##..####...#...###...#..###..###.#.#####....###.####.#.###.###.#..#......#.###...#...#...##.###..#######..##...##.#.##.##.#..##..#.##..####...#...###...#..###..###.#.#####....###.####.#.###.###.#..#......#.###...#...#...##.###..#######..##...##.#.##.##.#..##..#.##..####...#...###...#..###..###.#.#####....###.###
...#.##.......#......#..#...######.###.###....#.###.####..#.####.###.####.####.#.#.####.####.#.###...#.##..####.#.#.#...#.##.#.#.##.######....#.#...######....#.##.#.##..#.#.##..#...#.###.##.#...##.#..#####.#.####.#####.###..#...####...#...#.###.##.###.#.##...#.#..##.###.###.#..##.#.####.#.#.#...#..##...##.#.##..###..###.###.#..#.#.##.##...#.##.##..#########.......#.#.#.###.##.###.#.##...#.#..##.###.###.#..##.#.####.#.#.#...#..##...##.#.##..###..###.###.#..#.#.##.##...#.##.##..#########.......#.#.#.###.##.###.#.##...#.#..##.###.###.#..##.#.####.#.#.#...#..##...##.#.##..###..###.###.#..#.#.##.##...#.##.##..#########.......#.#.#.###.##.###.#.##...#.#..##.###.###.#..##.#.####.#.#.#...#..##...##.#.##..###..###.###.#..#.#.##.##...#.##.##..#########.......#.#.#.###.##.###.#.##...#.#..##.###.###.#..##.#.####.#.#.#...#..##...##.#.##..###..###.###.#..#.#.##.##...#.##.##..#########.......#.#.#.###.##.###.#.##...#.#..##.###.###.#..##.#.####.#.#.#...#..##...##.#.##..###..###.###.#..#.#.##.##...#.##
##..##.#.#.###.######.#..##....#.##...##..#.##....##..#####..#..#.##.###..#.##......#....#.##.#.#######.##...##.#..###.######.#.#.....#...#..#.#.#.#.#.#####.#.####.####.##.#####..#..##.#..##.#.#.#.##.#..##########....###..#.####.#...####..#.##.#.##.#...#.##.##.#.#..##..#####.#..#####..#.....#..#..#####..##.#....#.....#....###..###..#####.####....#...#.##...##.#####.##..##.#.##.#...#.##.##.#.#..##..#####.#..#####..#.....#..#..#####..##.#....#.....#....###..###..#####.####....#...#.##...##.#####.##..##.#.##.#...#.##.##.#.#..##..#####.#..#####..#.....#..##.#####..##.#....#.....#....###..###..#####.####....#...#.##...##.#####.##..##.#.##.#...#.##.##.#.#..##..#####.#..#####..#.....#..#..#####..##.#....#.....#....###..###..#####.####....#...#.##...##.#####.##..##.#.##.#...#.##.##.#.#..##..#####.#..#####..#.....#..#..#####..##.#....#.....#....###..###..#####.####....#...#.##...##.#####.##..##.#.##.#...#.##.##.#.#..##..#####.#..#####..#.....#..#..#####..##.#....#....##....###..###..#####.####.
##..#.###.####.........##..###..#.#.###..##.#.#..#.#####..###..#....#.####.#....#.##...##.#.#..#.#.#####..#.#.#..#.###..#...########.#......####.###......##.##.#..##.###.##...##..##..##........#.#..#.##...#..##.##..#..#.##.###.#.#.###.#.#..###.##.##########...#..#...###.##...#####....#####.#####.####.#..#.##.#.........#....###..#####..###...#####...##..#..#.###.##.#..#.##.##.##########...#..#...###.##...#####....#####.#####.####.#..#.##.#.........#....###..#####..###...#####...##..#..#.###.##.#..#.##.##.##########...#..#...###.##...#####....#####.#####.####.#..#.##.#.........#....###..#####..###...#####...##..#..#.###.##.#..#.##.##.##########...#..#...###.##...#####....#####.#####.####.#..#.##.#.........#....###..#####..###...#####...##..#..#.###.##.#..#.##.##.##########...#..#...###.##...#####....#####.#####.####.#..#.##.#.........#....###..#####..###...#####...##..#..#.###.##.#..#.##.##.##########...#..#...###.##...#####....#####.#####.####.#..#.##.#.........#....###..#####..###...##
###.#.##...####.###.#..#..####.###....##.##.##..#.#.#....#.#..#####.#..########..##..#...###..##..###...###...#.....####..#...#...#....#.###.##.##....##..#..#.##..#..##.#..##...#..#....##.#.#####.###...###...########.#.######.#.##....##.#.#.#.###.#.#.#...#.###..##....#.....#####.#.##.##..#.#...#....######..#...#.###..##.#####...##..#..#..####..#..###.#.####.###.#.##..###.###.#.#.#...#.###..##....#.....#####.#.##.##..#.#...#....######..#...#.###..##.#####...##..#..#..####..#..###.#.####.###.#.##..###.###.#.#.#...#.###..##....#.....#####.#.##.##..#.#...#....######..#...#.###..##.#####...##..#..#..####..#..###.#.####.###.#.##..###.###.#.#.#...#.###..##....#.....#####.#.##.##..#.#...#....######..#...#.###..##.#####...##..#..#..####..#..###.#.####.###.#.##..###.###.#.#.#...#.###..##....#.....#####.#.##.##..#.#...#....######..#...#.###..##.#####...##..#..#..####..#..###.#.####.###.#.##..###.###.#.#.#...#.###..##....#.....#####.#.##.##..#.#...#....######..#...#.###..##.#####...##..#..#..####.
.###.#..###..#..########..#...#..###.#..#.####.#.#..##..#.#.#..####..##..#......###..#...##..#....##.#.###..#.....##.######...#..##.#.#.##...#.####..#..#..###.#...##...#.#....######.####.#.####.#####.#.##.#####.#.###.#..###....#..####.##.##...#...##..#....#.##..#..#......#....#.######...#..####.##..##..#.###.#...###..#.##..#####.....###.#...##########..##..##.#...#.......#...##..#....#.##..#..#......#....#.######...#..####.##..##..#.###.#...###..#.##..#####.....###.#...##########..##..##.#...#.......#...##..#....#.##..#..#......#....#.######...#..####.##..##..#.###.#...###..#.##..#####.....###.#...##########..##..##.#...#.......#...##..#....#.##..#..#......#....#.######...#..####.##..##..#.###.#...###..#.##..#####.....###.#...##########..##..##.#...#.......#...##..#....#.##..#..#......#....#.######...#..####.##..##..#.###.#...###..#.##..#####.....###.#...##########..##..##.#...#.......#...##..#....#.##..#..#......#....#.######...#..####.##..##..#.###.#...###..#.##..#####.....###.#...##
#..#.##.######.#..##...#..#####.#.###.####....#.#####.##..#.##.#.###.####.....##..#######.#.###.####..#####.#...#.#...#.#...#.#..#.##.###....#.###...###...#...#.#..####.####.###.#....####....####.....####.###...#...###......###.#######...#.##.##..#...#.##.##..##.#####.....##.#..##...###.#####..####...##..##..#.#.#.#.#####.#.#.####......#..##...#.#.#..###.##.#....####.#.#.##..#...#.##.##..##.#####.....##.#..##...###.#####..####...##..##..#.#.#.#.#####.#.#.####......#..##...#.#.#..###.##.#....####.#.#.##..#...#.##.##..##.#####.....##.#..##...###.#####..####...##..##..#.#.#.#.#####.#.#.####......#..##...#.#.#..###.##.#....####.#.#.##..#...#.##.##..##.#####.....##.#..##...###.#####..####...##..##..#.#.#.#.#####.#.#.####......#..##...#.#.#..###.##.#....####.#.#.##..#...#.##.##..##.#####.....##.#..##...###.#####..####...##..##..#.#.#.#.#####.#.#.####......#..##...#.#.#..###.##.#....####.#.#.##..#...#.##.##..##.#####.....##.#..##...###.#####..####...##..##..#.#.#.#.#####.#.#.####......#..##..
####..#.#.#...##.####..#....##...###...#.##.##.#..#.#...#...###.##.#..###.#.##.###...##.....#.##.#.#######.#.#.#...####..........#.##..#.##.....#...##..#..#.###..###..##..##.##.#..##.#######..#..#.#.#.##..####.####.##..#...##.###.###..###.###.#.####.##.###..##...#...###....###.#...#..##.#.##..########..#......#.####.......#.#.##.#..#.####.###....##.##.#....#..###.#.#####.#.####.##.###..##...#...###....###.#...#..##.#..#..########..#......#.####.......#.#.##.#..#.####.###....##.##.#....#..###.#.#####.#.####.##.###..##...#...###....###.#...#..##.#..#..########..#......#.####.......#.#.##.#..#.####.###....##.##.#....#..###.#.#####.#.####.##.###..##...#...###....###.#...#..##.#..#..########..#......#.####.......#.#.##.#..#.####.###....##.##.#....#..###.#.#####.#.####.##.###..##...#...###....###.#...#..##.#..#..########..#......#.####.......#.#.##.#..#.####.###....##.##.#....#..###.#.#####.#.####.##.###..##...#...###....###.#...#..##.#..#..########..#......#.####.......#.#.##.#..#.####.###.
#.##.....#..#####..####.#######.##..##..###...#.......#.#.#..#..###.......##..#.##.....####..#..#.##.##...##..##.####.#.......#...####.#.##.#...#.#...##.##.##.#######....#.#......#.##.###..###..#.##.#.####..##.#.#.##..#.###.##.####...####...#.#..###..##..###.####.#.......##.####..#.#.#..#.##..#..##..#.#.#######..#....#..#.##..#..#####.#.########..#####.#.#####..###..#.##.#..###..##..###.####.#.......##.####..#.#.#..#.##..#..##..#.#.#######..#....#..#.##..#..#####.#.########..#####.#.#####..###..#.##.#..###..##..###.####.#.......##.####..#.#.#..#.##..#..##..#.#.#######..#....#..#.##..#..#####.#.########..#####.#.#####..###..#.##.#..###..##..###.####.#.......##.####..#.#.#..#.##..#..##..#.#.#######..#....#..#.##..#..#####.#.########..#####.#.#####..###..#.##.#..###..##..###.####.#.......##.####..#.#.#..#.##..#..##..#.#.#######..#....#..#.##..#..#####.#.########..#####.#.#####..###..#.##.#..###..##..###.####.#.......##.####..#.#.#..#.##..#..##..#.#.#######..#....#..#.##..#..#####.#.######
#....#....#.....##...##..#...#..#.....###...#.##.###..####.#.##.#.######.#...###########.#...####..#.##.##....####.#..#...#.#.#..##..#..#.##.##..#......#..###.#..#..#.####..#.###..#.##.##.###..######.#..####............##.##..#..##.#####..#.#..#..#####.#...##..#...##..########...#.#...##..#...##.#.##.##.#####.#...###..##.#.###.#.#...#.####.#####.#..###.#.###.###..##..#.#..#..#####.#...##..#...##..########...#.#...##..#...##.#.##.##.#####.#...###..##.#.###.#.#...#.####.#####.#..###.#.###.###..##..#.#..#..#####.#...##..#...##..########...#.#...##..#...##.#.##.##.#####.#...###..##.#.###.#.#...#.####.#####.#..###.#.###.###..##..#.#..#..#####.#...##..#...##..########...#.#...##..#...##.#.##.##.#####.#...###..##.#.###.#.#...#.####.#####.#..###.#.###.###..##..#.#..#..#####.#...##..#...##..########...#.#...##..#...##.#.##.##.#####.#...###..##.#.###.#.#...#.####.#####.#..###.#.###.###..##..#.#..#..#####.#...##..#...##..########...#.#...##..#...##.#.##.##.#####.#...###..##.#.###.#.#...#.####.###
#..######..##..###..##.##..##....#...###.####..##..####.##...####..##......##....##.#.#..#########.#.##.##.##.##......##...#......###.#.##....##..###...##.#....#.###.#..#..##.#.....#.##..#...#..###.#.###.#.####.#.##.#....#.#.##..###.#####.#......#####..#...#..##...#..#...#.####..##.#..#.###.##.#..#..###..#......####.#..#####.###.##.#.##.####...###.....###...######..#........#####..#...#..##...#..#...#.####..##.#..#.###.##.#..#..###..#......####.#..#####.###.##.#.##.####...###.....###...######..#........#####..#...#..##...#..#...#.####..##.#..#.###.##.#..#..###..#......####.#..#####.###.##.#.##.####...###.....###...######..#........#####..#...#..##...#..#...#.####..##.#..#.###.##.#..#..###..#......####.#..#####.###.##.#.##.####...###.....###...######..#........#####..#...#..##...#..#...#.####..##.#..#.###.##.#..#..###..#......####.#..#####.###.##.#.##.####...###.....###...######..#........#####..#...#..##...#..#...#.####..##.#..#.###.##.#..#..###..#......####.#..#####.###.##.#.##.####..
...#...########....##......###.....##..#..###.#.###.#.###.#..###.##...###.#.#.#####.####.#.##...####.....#..###..#.###..##.#..######.##..#.######....##.#......##..####.######.##..##..#.....#.##.#.##...###........##..###.###.....#.#.##...........#...#.##..#.#..#.##..###...#..#....#.#...#.#.#..#######.#......#.##..####.##.##..#.##...####..##.#.#.###.#......#..#####.###.#.....#...#.##..#.#..#.##..###...#..#....#.#...#.#.#..#######.#......#.##..####.##.##..#.##...####..##.#.#.###.#......#..#####.###.#.....#...#.##..#.#..#.##..###...#..#....#.#...#.#.#..#######.#......#.##..####.##.##..#.##...####..##.#.#.###.#......#..#####.###.#.....#...#.##..#.#..#.##..###...#..#....#.#...#.#.#..#######.#......#.##..####.##.##..#.##...####..##.#.#.###.#......#..#####.###.#.....#...#.##..#.#..#.##..###...#..#....#.#...#.#.#..#######.#......#.##..####.##.##..#.##...####..##.#.#.###.#......#..#####.###.#.....#...#.##..#.#..#.##..###...#..#....#.#...#.#.#..#######.#......#.##..####.##.##..#.##...####..##.#.#
.#.#.##.#..#.#.#...####....###.#.##....###......####.#....#.####.##.#..#..#.....#.#.#...#..##.#.#.####.##..##.#....#.#.#..###...####.##....###.###.##..#.#######.##..###...#.######.########.#.###.####..#.#.#...#.###.###.###..##.####.##.####.#..#.##.##.#.....#..#.##..##.#..#......#.#.###.##.######....#..##.##....#.#####.#.##.#...#.#.##...#.#.##.##....####.##.###...###..#...#.##.##.#.....#..#.##..##.#..#......#.#.###.##.######....#..##.##....#.#####.#.##.#...#.#.##...#.#.##.##....####.##.###...###..#...#.##.##.#.....#..#.##..##.#..#......#.#.###.##.######....#..##.##....#.#####.#.##.#...#.#.##...#.#.##.##....####.##.###...###..#...#.##.##.#.....#..#.##..##.#..#......#.#.###.##.######....#..##.##....#.#####.#.##.#...#.#.##...#.#.##.##....####.##.###...###..#...#.##.##.#.....#..#.##..##.#..#......#.#.###.##.######....#..##.##....#.#####.#.##.#...#.#.##...#.#.##.##....####.##.###...###..#...#.##.##.#.....#..#.##..##.#..#......#.#.###.##.######....#..##.##....#.#####.#.##.#...#.#.##...#.#.##.
.###..#...#.##.###...###..#.###..##..#..#.#..##.###.##.##..#.....##..#..##.#####............###.#.....#.#.###.#####.####.....#.###.#..#.#..#.##.#..###....#...#.##.###...##.#......#.#.#...#....#..#..###.#..#.##.#..##.#.#..#.####...#.##.##.#..##...##.#...........####.#.##......##.....#..##..#..#..#.####.##.#.#..###..##.###..#####.####..####.#.#..#..###.##...##.#.#.####..###...##.#...........####.#.##......##.....#..##..#..#..#.####.##.#.#..###..##.###..#####.####..####.#.#..#..###.##...##.#.#.####..###...##.#...........####.#.##......##.....#..##..#..#..#.####.##.#.#..###..##.###..#####.####..####.#.#..#..###.##...##.#.#.####..###...##.#...........####.#.##......##.....#..##..#..#..#.####.##.#.#..###..##.###..#####.####..####.#.#..#..###.##...##.#.#.####..###...##.#...........####.#.##......##.....#..##..#..#..#.####.##.#.#..###..##.###..#####.####..####.#.#..#..###.##...##.#.#.####..###...##.#...........####.#.##....#.##.....#..##..#..#..#.####.##.#.#..###..##.###..#####.####..####.#.#.
.#..###########..##..###.....##.#.##..#...#..##.....#.##.#.######..#.....#.#...##.##.#..#.#.##.#..##.####.#.###.#..#.#..........####...###..#..##.#..###..#..#.##...#..##.####.####......#.####.##.#.#.#.#..#.#..####....###...#...#..#.#...#..#.##.####.#...#.#.#..##.###..####.###.......##.#.#..#..###...#.#.####..#..#####...##..####.#.###.####.#..##.#....#..##...###.####.#..##.####.#...#.#.#..##.###..####.###.......##.#....#..###...#.#.####..#..#####...##..####.#.###.####.#..##.#....#..##...###.####.#..##.####.#...#.#.#..##.###..####.###.......##.#....#..###...#.#.####..#..#####...##..####.#.###.####.#..##.#....#..##...###.####.#..##.####.#...#.#.#..##.###..####.###.......##.#....#..###...#.#.####..#..#####...##..####.#.###.####.#..##.#....#..##...###.####.#..##.####.#...#.#.#..##.###..####.###.......##.#....#..###...#.#.####..#..#####...##..####.#.###.####.#..##.#....#.###...###.####.#..##.####.#...#.#.#..##.###..####.###.......##.#....#..###...#.#.####..#..#####...##..####.#.###.####.#..#
.#..#####.#.##.....#...##.#.#.##....###....######..#..##.##.#.#.######..##....#..#..##.#####.#.#.#..##....#.....##..#.##.##..#.#....#.#...#..#..###.#######..#####.#.......###...#..###..####...######....#.....##.##..###..##..########..##..##.####....##...#..#...##..#.#....####.######.....####.###.#.#.####.##.#.##.#...#.#....#.##...#######...#.#..#...###.####..#.##...##..####....##...#..#...##..#.#....####.######.....####.###.#.#.####.##.#.##.#...#.#....#.##...#######...#.#..#...###.####..#.##...##..####....##...#..#...##..#.#....####.######.....####.###.#.#.####.##.#.##.#...#.#....#.##...#######...#.#..#...###.####..#.##...##..####....##...#..#...##..#.#....####.######.....####.###.#.#.####.##.#.##.#...#.#....#.##...#######...#.#..#...###.####..#.##...##..####....##...#..#...##..#.#....####.######.....####.###.#.#.####.##.#.##.#...#.#....#.##...#######...#.#..#...###.####..#.##...##..####....##...#..#...##..#.#....####.######.....####.###.#.#.####.##.#.##.#...#.#....#.##...#######...#.#
###...#..##.#.#...##.##....###..#.###.#.#.#...#.###.##.##.#.###..#..#..#...####.#.###.....#..#.##....#....#####.#.#####..###.#.###..#.#.####...#.###.##...#..#.##..##.#.###....#..#...##.#.#....###.##.#.###.###..######.##.#...######..##.#...####...#.#.....#....#######.##.#..####.......####.##.#...###.##.#....#.##..##....#.###.##.#.#...#...#...##..######.#...##.#.##.##..#.##...#.#.....#....#######.##.#..####.......####.##.#...###.##.#....#.##..##....#.###.##.#.#...#...#...##..######.#...##.#.##.##..#.##...#.#.....#....#######.##.#..####.......####.##.#...###.##.#....#.##..##....#.###.##.#.#...#...#...##..######.#...##.#.##.##..#.##...#.#.....#....#######.##.#..####.......####.##.#...###.##.#....#.##..##....#.###.##.#.#...#...#...##..######.#...##.#.##.##..#.##...#.#.....#....#######.##.#..####.......####.##.#...###.##.#....#.##..##....#.###.##.#.#...#...#...##..######.#...##.#.##.##..#.##...#.#.....#....#######.##.#..####.......####.##.#...###.##.#....#.##..##....#.###.##.#.#...#...#...##
.##.#..#..##.##...#..#....#...#.######.#....##.###.##.#####.##..#.##.#....##..#..##.#...#....##.#..#...###.#....##.##..#..#.#.#.#...###..#.####.#..##.##...#..#........#.##.####.#####.####..#.####.#.#.#....#.#.#..##.##...#####..#..#..###.###.#..#.###.######.######.##..#.###..#..###.#..#..#..##.####....###.##.#..###.###...##..####.########.#.#######...#.########.##.##.####..#.###.######.######.##..#.###..#..###.#..#..#..##.####....###.##.#..###.###...##..####.########.#.#######...#.########.##.##.####..#.###.######.######.##..#.###..#..###.#..#..#..##.####....###.##.#..###.###...##..####.########.#.#######...#.########.##.##.####..#.###.######.######.##..#.###..#..###.#..#..#..##.####....###.##.#..###.###...##..####.########.#.#######...#.########.##.##.####..#.###.######.######.##..#.###..#..###.#..#..#..##.####....###.##.#..###.###...##..####.########.#.#######...#.########.##.##.####..#.###.######.######.##..#.###..#..###.#..#..#..##.####....###.##.#..###.###...##..####.########.#.###
####.#.....###.##.#.#...##.##.##..##.###...#...##..###.#.######.##.#........#..##.###.#..##..#..#.#.#.####.#.##.##..##.#.##.###..#..#.####.#..##..###..###..##.##...##....##.###...####....#.##......##....##.....####.#...##.##.#.#.#.##....###.#......###.....#..##.#.......######..######.#..####...##.##.##.#...#...#.#...###.###.#.#...###..#...........##....####.##.##..#..#.#......###.....#..##.#.......######..######.#..####...##.##.##.#...#...#.#...###.###.#.#...###..#...........##....####.##.##..#..#.#......###.....#..##.#.......######..######.#..####...##.##.##.#...#...#.#...###.###.#.#...###..#...........##....####.##.##..#..#.#......###.....#..##.#.......######..######.#..#####..##.##.##.#...#...#.#...###.###.#.#...###..#...........##....####.##.##..#..#.#......###.....#..##.#.......######..######.#..####...##.##.##.#...#...#.#...###.###.#.#...###..#...........##....####.##.##..#..#.#......###.....#..##.#.......######..######.#..####...##.##.##.#...#...#.#...###.###.#.#...###..#.......
#.#.#......##..####.###.#.#####..####..#.#.#.#.###.#....#.#####.###...##.....#..##..##.#.##..##.#...#.#..#...#.#...#...##..#.#.#..#.#..####..###.#......#####.###...###.#.###....#.###.##.#.#.#######..##...#.####.#.#........##.#.#....#....#..#########.........#####..###....#...##..##..##..#.###.#.....##.#.##.##.#....#.##.#.####..##.#......#####...###.##..#..#...#..##..##.########.........#####..###....#...##..##..##..#.###.#.....##.#.##.##.#....#.##.#.####..##.#......#####...###.##..#..#...#..##..##.########.........#####..###....#...##..##..##..#.###.#.....##.#.##.##.#....#.##.#.####..##.#......#####...###.##..#..#...#..##..##.########.........#####..###....#...##..##..##..#.###.#.....##.#.##.##.#....#.##.#.####..##.#......#####...###.##..#..#...#..##..##.########.........#####..###....#...##..##..##..#.###.#.....##.#.##.##.#....#.##.#.####..##.#......#####...###.##..#..#...#..##..##.########.........#####..###....#...##..##..##..#.###.#.....##.#.##.##.#....#.##.#.####..##.#......#####.
.###.#..#...#.#####.######..###.#..#.#########..#####.#..#.#..##.####.....###..##.#..#..#.#.###..#.#...#..#...#.#.##.##.##.###########...#####..#.#...###.....#####..#.......#..##.#...####.#..#.#.#####..###.#...#.....#.##...##.#.#.#.#.####.#...#.....##..#..#........#.###.#..####.####..#...###..##...###..###..##.##..###....###.#####.#..#.#..######.#..#..#.#.#.##.#..#.####..#.....##..#..#........#.###.#..####.####..#...###..##...###..###..##.##..###....###.#####.#..#.#..######.#..#..#.#.#.##.#..#.####..#.....##..#..#........#.###.#..####.####..#...###..##...###..###..##.##..###....###.#####.#..#.#..######.#..#..#.#.#.##.#..#.####..#.....##..#..#........#.###.#..####.####..#...###..##...###..###..##.##..###....###.#####.#..#.#..######.#..#..#.#.#.##.#..#.####..#.....##..#..#........#.###.#..####.####..#...###..##...###..###..##.##..###....###.#####.#..#.#..######.#..#..#.#.#.##.#..#.####..#.....##..#..#........#.###.#..####.####..#...###..##...###..###..##.##..###....###.#####.#..#.#..####
..####.#..#...##...#.#.##...##..#..##.#.#....###.#..###..##..##.#######.#.##.#.###.####..#....#.##....#.#.#.###...#..##.#.#..#...##.##.#...#.####.###.##......####.#..####...#..##....#..###.#.###....#.#........###.####..#.#.##.#....#.####.#.##.##.####..###.#.###..#.#...##.#....##..###..#.#........##..####.#.#.##.####.#.#..###.##...#..##..##.###.####.####.#..#....###.#...#.##.####..###.#.###..#.#...##.#....##..###..#.#........##..####.#.#.##.####.#.#..###.##...#..##..##.###.####.####.#..#....###.#...#.##.####..###.#.###..#.#...##.#....##..###..#.#........##..####.#.#.##.####.#.#..###.##...#..##..##.###.####.####.#..#....###.#...#.##.####..###.#.###..#.#...##.#....##..###..#.#........##..####.#.#.##.####.#.#..###.##...#..##..##.###.####.####.#..#....###.#...#.##.####..###.#.###..#.#...##.#....##..###..#.#........##..####.#.#.##.####.#.#..###.##...#..##..##.###.####.####.#..#....###.#...#.##.####..###.#.###..#.#...##.#....##..###..#.#........##..####.#.#.##.####.#.#..###.##...#..##..##.###
#.##.#.##.##.##.##....#.#.##..#..#....##...#.##.#####...##.##..#..####.#....####.####...###....######..##.#...#.....#..###..#####..#.#..#.#.##.###..#..####......#...###.#.#..########.#..####.##..###.......#####..#..#....###.#.##.#.#.#..#.#....#.###..#.##.#..##...###.##.#..##...##...##..#.###...#......#.......###.#.##..#..#...##.#..##..#..##.##.#...##.###.#....###...#.##..#.###..#.##.#..##...###.##.#..##...##...##..#.###...#......#.....#.###.#.##..#..#...##.#..##..#..##.##.#...##.###.#....###...#.##..#.###..#.##.#..##...###.##.#..##...##...##..#.###...#......#.......###.#.##..#..#...##.#..##..#..##.##.#...##.###.#....###...#.##..#.###..#.##.#..##...###.##.#..##...##...##..#.###...#......#.......###.#.##..#..#...##.#..##..#..##.##.#...##.###.#....###...#.##..#.###..#.##.#..##...###.##.#..##...##...##..#.###...#......#.......###.#.##..#..#...##.#..##..#..##.##.#...##.###.#....###...#.##..#.###..#.##.#..##...###.##.#..##...##...##..#.###...#......#.......###.#.##..#..#...##.#..##..#..##.##
#.##....###.##..#.#####...##.#..###.#...####..####.#...##.#..##....#.#..##..#####...##.####..##..#.##..##.#.##.###.#..#.##...#..##.#####.....#.##....#..###..#.##.########...#.....##.#####.######.####...#...#..#.#.###.#.#.#..##.#..#...#...#.##.##..##.#..#.###..#..#..#.#.##########..######.###.#.##..#....#..##.####.#..##.##.###.....##....#...###.#......###.##..#.#....##..#.##..##.#..#.###..#..#..#.#.##########..######.###.#.##..#....#..##.####.#..##.##.###.....##....#...###.#......###.##..#.#....##..#.##..##.#..#.###..#..#..#.#.##########..######.###.#.##..#....#..##.####.#..##.##.###.....##....#...###.#......###.##..#.#....##..#.##..##.#..#.###..#..#..#.#.##########..######.###.#.##..#....#..##.####.#..##.##.###.....##....#...###.#......###.##..#.#....##..#.##..##.#..#.###..#..#..#.#.##########..######.###.#.##..#....#..##.####.#..##.##.###.....##....#...###.#......###.##..#.#....##..#.##..##.#..#.###..#..#..#.#.##########..######.###.#.##..#....#..##.####.#..##.##.###.....##....#...###
#.###.#..##...##.#..##.#.#.#.#...##.##.#..#.#.###....##.####....######..##.####..####.#.#.#.#..##....#..#.#.##.##.#..#..##..#######..#..#.....####....#.####...#.#.#.##.#.#....##.##..##..##.#####.#####.#.....#....##.#..#.....#..#.....#.#.#..#..##.##..#.#.#.##...#.#..####...#.#.....##......####...##..#...##.##...#.##.#.#.#.##.####.#..#.###.###....#..#...##.##.#..#.###.#.#..##.##..#.#.#.##...#.#..####...#.#.....##......####...##..#...##.##...#.##.#.#.#.##.####.#..#.###.###....#..#...##.##.#..#.###.#.#..##.##..#.#.#.##...#.#..####...#.#.....##......####...##..#...##.##...#.##.#.#.#.##.####.#..#.###.###....#..#...##.##.#..#.###.#.#..##.##..#.#.#.##...#.#..####...#.#.....##......####...##..#...##.##...#.##.#.#.#.##.####.#..#.###.###....#..#...##.##.#..#.###.#.#..##.##..#.#.#.##...#.#..####...#.#.....##......####...##..#...##.##...#.##.#.#.#.##.####.#..#.###.###....#..#...##.##.#..#.###.#.#..##.##..#.#.#.##...#.#..####...#.#.....##......####...##..#...##.##...#.##.#.#.#.##.####.#..#.###.###..
..#.#.#..######...##.....#.##..#####.#....#.##.#.####.#.#.####.#.#.#.#...#..#.##..##..#...#....##.#..#####.#.##..##.....###.##.###...####.....#..#...##......##..#..####.##...#...###.#.#...###..##.#####....#..#.##.####...##..##.##.##..##.#.#.##...#.##.#..###.#######..####.#.##.#...###......###.#.#.###.#...#####...#.##..#.#.#..#.##....##..#....##.#.##.#..##.#...#..###.#.###...#.##.#..###.#######..####.#.##.#...###......###.#.#.###.#...#####...#.##..#.#.#..#.##....##..#....##.#.##.#..##.#...#..###.#.###...#.##.#..###.#######..####.#.##.#...###......###.#.#.###.#...#####...#.##..#.#.#..#.##....##..#....##.#.##.#..##.#...#..###.#.###...#.##.#..###.#######..####.#.##.#...###......###.#.#.###.#...#####...#.##..#.#.#..#.##....##..#....##.#.##.#..##.#...#..###.#.###...#.##.#..###.#######..####.#.##.#...###......###.#.#.###.#...#####...#.##..#.#.#..#.##....##..#....##.#.##.#..##.#...#..###.#.###...#.##.#..###.#######..####.#.##.#...###......###.#.#.###.#...#####...#.##..#.#.#..#.##....##..#....#
.#.#.##.#.#..#..#....###.#..##.#.##.#......#..##..##..#.#.#.###.#.##.##.#.#####..####...........#.#..##.#..###.##....#..#........###.##.#.##..###.##.#..##.....####...#.#.###.#.#.######.#..#...##.#..######.###...##...##.###..##..####..##.#..##.#.#..##.###..###.##.##.#.#.##########...###..#...##...##.##..#...#.##.#..#####.##..#.#.##..##..#.###...#....###.#..##.##.#..#....#.#.#..##.###..###.##.##.###.##########...###..#...##...##.##..#...#.##.#..#####.##..#.#.##..##..#.###...#....###.#..##.##.#..#....#.#.#..##.###..###.##.##.#.#.##########...###..#...##...##.##..#...#.##.#..#####.##..#.#.##..##..#.###...#....###.#..##.##.#..#....#.#.#..##.###..###.##.##.#.#.##########...###..#...##...##.##..#...#.##.#..#####.##..#.#.##..##..#.###...#....###.#..##.##.#..#....#.#.#..##.###..###.##.##.#.#.##########...###..#...##...##.##..#...#.##.#..#####.##..#.#.##..##..#.###...#....###.#..##.##.#..#....#.#.#..##.###..###.##.##.#.#.##########...###..#...##...##.##..#...#.##.#..#####.##..#.#.##..##..#.###..
##.....#...#######...#...###.########.#...#...##..#..#......#..#.###..#.###.#.##.#...#.#.#..#......#.#.......#..#..#....###.#.#.##.#.##...#..#.##.####..#..#.#####.#...#.#########.##..#.#.#####..#..##.#.....#.#.##.#.##....#.###.##......#.#.#.#...#....##...##..#..####...#..#.##...##..###....##..######.#...###.####.##.####.###.##.#...#.#.#...#.####...#.#..##..#....##..#.###...#....##...##..#..####...#..#.##...##..###....##..######.#...###.####.##.####.###.##.#...#.#.#...#.####...#.#..##..#....##..#.###...#....##...##..#..####...#..#.##...##..###....##..######.#...###.####.##.####.###.##.#...#.#.#...#.####...#.#..##..#....##..#.###...#....##...##..#..####...#..#.##...##..###....##..######.#...###.####.##.####.###.##.#...#.#.#...#.####...#.#..##..#....##..#.###...#....##...##..#..####...#..#.##...##..###....##..######.#...###.####.##.####.###.##.#...#.#.#...#.####...#.#..##..#....##..#.###...#....##...##..#..####...#..#.##...##..###....##..######.#...###.####.##.####.###.##.#...#.#.#...#.##
.....##..###..###...#..#.#..###...######.##.#....#.#####.....#..##.#..#####...###.#...#.#.....##..#.#...#.####.#.####..#......######.###.#.#.#.#.#####.#...##.###..##....#......###.#####..#....##..#.###..##..######.##..###.....###...######.##.....##.#.##...#####.#.#.##...##.#.#....#..###.###.#.#.##.###.#.#...##..##.##..#####.####.#.....#.##.#.#.#.#......##.####....#.#........##.#.##...#####.#.#.##...##.#.#....#..###.###.#.#.##.###.#.#...##..##.##..#####.####.#.....#.##.#.#.#.#......##.####....#.#........##.#.##...#####.#.#.##...##.#.#....#..###.###.#.#.##.###.#.#...##..##.##..#####.####.#.....#.##.#.#.#.#......##.####....#.#........##.#.##...#####.#.#.##...##.#.#....#..###.###.#.#.##.###.#.#...##..##.##..#####.####.#.....#.##.#.#.#.#......##.####....#.#........##.#.##...#####.#.#.##...##.#.#....#..###.###.#.#.##.###.#.#...##..##.##..#####.####.#.....#.##.#.#.#.#......##.####....#.#........##.#.##...#####.#.#.##...##.#.#....#..###.###.#.#.##.###.#.#...##..##.##..#####.####.#.....#.##.#.#
.##..#.....#.#####.#......#.#..###.##..###.##...#...#...#.###..#########.#...###...#.#.####.#.........#..##.#.#.###..##.###...####..####.#.####..##..#.#####.#.#.#..##.#.###..#.##.##.#...#####....####.#..##..####.######.###...#...#..##.#....#.###...#..##..##..###.###......##.##...##.#........##.####..###.#.#.###.###.#########.##.........#.#..#####.#.##..##.##.##.###.#.##.###...#..##..##..###.###......##.##...##.#........##.####..###.#.#.###.###.#########.##.........#.#..#####.#.##..##.##.##.###.#.##.###...#..##..##..###.###......##.##...##.#........##.####..###.#.#.###.###.#########.##.........#.#..#####.#.##..##.##.##.###.#.##.###...#..##..##..###.###......##.##...##.#........##.####..###.#.#.###.###.#########.##.........#.#..#####.#.##..##.##.##.###.#.##.###...#..##..##..###.###......##.##...##.#........##.####..###.#.#.###.###.#########.##.........#.#..#####.#.##..##.##.##.###.#.##.###...#..##..##..###.###......##.##...##.#........##.####..###.#.#.###.###.#########.##.........#.#..##
###.###.#...##.##...##.##..#..##.#######.......##..#.....###...#######....#.#....#....#..#.#.#...###.##.#.##.##..###......##.##..##.#...##..##...#.##.#######...#..######...###..###.....#.#.####.#..##.#...#.######...###.###..#.##.##.#.....######.#.....###.######...####.....###....#..##...#####...##.##.#.#.##..##.#.....#.##.#.#####..#..##..#.#...##..###.#..#....#..##.#.#####.#.....###.######...####.....###....#..##...#####...##.##.#.#.##..##.#.....#.##.#.#####..#..##..#.#...##..###.#..#....#..##.#.#####.#.....###.######...####.....###....#..##...#####...##.##.#.#.##..##.#.....#.##.#.#####..#..##..#.#...##..###.#..#....#..##.#.#####.#.....###.######...####.....###....#..##...#####...##.##.#.#.##..##.#.....#.##.#.#####..#..##..#.#...##..###.#..#....#..##.#.#####.#.....###.######...####.....###....#..##...#####...##.##.#.#.##..##.#.....#.##.#.#####..#..##..#.#...##..###.#..#....#..##.#.#####.#.....###.######...####.....###....#..##...#####...##.##.#.#.##..##.#.....#.##.#.#####..#..##..#.#..
..#####..##....#...#######.#...#..#.....#.#.####..#.##..#.####.....###.#..##.#...####..###..##...##.###.###.##....##.##...#..#.....#..#.....##.##..#....#..#..#.#...##..#.#..#.#..########.#.#.###.##.#..#.#.#.#.#..###......#.#..##...##..#..#.#...##..#..##.....#.###.##.#.##..##..##.#.#...#..####.#..##.##...#.###.####.#..##..#.#..###.#....###.####..##...#...#.#.#.....#.#..#...##..#..##.....#.###.##.#.##..##..##.#.#...#..####.#..##.##...#.###.####.#..##..#.#..###.#....###.####..##...#...#.#.#.....#.#..#...##..#..##.....#.###.##.#.##..##..##.#.#...#..####.#..##.##...#.###.####.#..##..#.#..###.#....###.####..##...#...#.#.#.....#.#..#...##..#..##.....#.###.##.#.##..##..##.#.#...#..####.#..##.##...#.###.####.#..##..#.#..###.#....###.####..##...#...#.#.#.....#.#..#...##..#..##.....#.###.##.#.##..##..##.#.#...#..####.#..##.##...#.###.####.#..##..#.#..###.#....###.####..##...#...#.#.#.....#.#..#...##..#..##.....#.###.##.#.##..##..##.#.#...#..####.#..##.##...#.###.####.#..##..#.#..###.#....###.####
...##.##.#...#.#####.##.#...#.######..#..#....#.#.####.#.....###...#.#.##.......##.##....#####.##.....#..#.##.....###....###..#.#.#.#...####.##.###.###..#...##....#####.....#.####..##..#...#.#..#.###..##########..###..#..#.....#.#...#..##.##.##..#....#.#.#...##.#.##.#.#....#.#####.##..###.##..##....#.##.#.##.##..###.#..#..#....###..#.......#..##...##...#.##.#..#.###.###.##..#....#.#.#...##.#.##.#.#....#.#####.##..###.##..##....#.##.#.##.##..###.#..#..#....###..#.......#..##...##...#.##.#..#.###.###.##..#....#.#.#...##.#.##.#.#....#.#####.##..###.##..##....#.##.#.##.##..###.#..#..#....###..#.......#..##...##...#.##.#..#.###.###.##..#....#.#.#...##.#.##.#.#....#.#####.##..###.##..##....#.##.#.##.##..###.#..#..#....###..#.......#..##...##...#.##.#..#.###.###.##..#....#.#.#...##.#.##.#.#....#.#####.##..###.##..##....#.##.#.##.##..###.#..#..#....###..#.......#..##...##...#.##.#..#.###.###.##..#....#.#.#...##.#.##.#.#....#.#####.##..###.##..##....#.##.#.##.##..###.#..#..#....###..#.......#..
..#....#.#.......####....######.....##...##..###.##.#######.##.#....#.###..#..####...#..#.##...#...###.....#.#.....##.#..#..####.##.##..#......#.#.....####..####.#.####......#..##..#..........#..###########.#.#..###.##............#..#.#.####..#..#...###....#.####.###...#.#...#####.#####...#.#..#..#..#..#...#######...###.##..####.###..#.##.#######.####....##..#.##.#..#.#..#..#...###....#.####.###...#.#...#####.#####...#.#..#..#..#..#...#######...###.##..####.###..#.##.#######.####....##..#.##.#..#.#..#..#...###....#.####.###...#.#...#####.#####...#.#..#..#..#..#...#######...###.##..####.###..#.##.#######.####....##..#.##.#..#.#..#..#...###....#.####.###...#.#...#####.#####...#.#..#..#..#..#...#######...###.##..####.###..#.##.#######.####....##..#.##.#..#.#..#..#...###....#.####.###...#.#...#####.#####...#.#..#..#..#..#...#######...###.##..####.###..#.##.#######.####....##..#.##.#..#.#..#..#...###....#.####.###...#.#...#####.#####...#.#..#..#..#..#...#######...###.##..####.###..#.##.####
..#....##..#..###...##....##.#.#..###...###.#####.#....#..#...##....####....##..#####..####.####.####....##...#.##.#..#####.##....##.#.###..###.#..#.####...#.######.#####...#....#.#.######..##..###.####..#....##.#.....###..#.##..#.###.###...##.##.###...#...####...#.#.#.#.##.###...#.#####.#.#..###.##....#.#.###..#...##.##...#.#.###..#.##.#.#.#..#.#.###.#.....#..##.....####.##.###...#...####...#.#.#.#.##.###...#.#####.#.#..###.##....#.#.###..#...##.##...#.#.###..#.##.#.#.#..#.#.###.#.....#..##.....####.##.###...#...####...#.#.#.#.##.###...#.#####.#.#..###.##....#.#.###..#...##.##...#.#.###..#.##.#.#.#..#.#.###.#.....#..##.....####.##.###...#...####...#.#.#.#.##.###...#.#####.#.#..###.##....#.#.###..#...##.##...#.#.###..#.##.#.#.#..#.#.###.#.....#..##.....####.##.###...#...####...#.#.#.#.##.###...#.#####.#.#..###.##....#.#.###..#...##.##...#.#.###..#.##.#.#.#..#.#.###.#.....#..##.....####.##.###...#...####...#.#.#.#.##.###...#.#####.#.#..###.##....#.#.###..#...##.##...#.#.###..#.##.#.#.#.
..#.#####.#.#.###.#.#.##..###....#.###.####.....#..####.#.#####....#...#..#..#..#..##.####.#.#...#.##.#..#.#.##..#.#..#.#.###.#.#.#..#.###....###.###.....#.#...###.#.##.#####.#.......##...###...##..###.#..#..####.#..##.#........##..##..######.####....####.###.##.#.#..#..##.##..##......#.##.#...###.#....####.#.#...##.#.##.##.#.##.#..##.######.###.#...#.........##..#.###.#.####....####.###.##.#.#..#..##.##..##......#.##.#...###.#....####.#.#...##.#.##.##.#.##.#..##.######.###.#...#.........##..#.###.#.####....####.###.##.#.#..#..##.##..##......#.##.#...###.#....####.#.#...##.#.##.##.#.##.#..##.######.###.#...#.........##..#.###.#.####....####.###.##.#.#..#..##.##..##......#.##.#...###.#....####.#.#...##.#.##.##.#.##.#..##.######.###.#...#.........##..#.###.#.####....####.###.##.#.#..#..##.##..##......#.##.#...###.#....####.#.#...##.#.##.##.#.##.#..##.######.###.#...#.........##..#.###.#.####....####.###.##.#.#..#..##.##..##......#.##.#...###.#....####.#.#...##.#.##.##.#.##.#..##.######.#
#..#.#..##.#####...#......###.....######..#..#.#...#..#..#.#..#########..#..#.#..##.###.#.#.####.####..#..#..###.#...##.#####...#.#...##.#.#..#.####....##..#.##...###.##.#.#.##...#..#....#.####.......#.#..#.#..#...#...#.##.#....#.##.......##...###.##...#..##....##...##..##...#.#.#####...##...####.#.........##..###.#.#.#.##.#.###.#...#..####.###......#...##.###.....##..#...###.##...#..##....##...##..##...#.#.#####...##...####.#.........##..###.#.#.#.##.#.###.#...#..####.###......#...##.###.....##..#...###.##...#..##....##...##..##...#.#.#####...##...####.#.........##..###.#.#.#.##.#.###.#...#..####.###......#...##.###.....##..#...###.##...#..##....##...##..##...#.#.#####...##...####.#.........##..###.#.#.#.##.#.###.#...#..####.###......#...##.###.....##..#...###.##...#..##....##...##..##...#.#.#####...##...####.#.........##..###.#.#.#.##.#.###.#...#..####.###......#...##.###.....##..#...###.##...#..##....##...##..##...#.#.#####...##...####.#.........##..###.#.#.#.##.#.###.#...#..####.##
.#....####.#.#..##.#.#..####.##.#.##..##.#######.#.####..##..#.#....#.###.#...#..#...#.#.###..##.####...#...#.###.##.#.......#.#.##..##...#.##...####...#.#.##.#.##..##..###.....###.#.#.....#..###..#.#..##..#.#...#..#...##.#.#.....###...#.#......##......##....#.#.......#########.#..####...###.#.####.##.##...##..##..#.....#...##.#.#..##..#.#...####.#....#....##...#.#.####....##......##....#.#.......#########.#..####...###.#.####.##.##...##..##..#.....#...##.#.#..##..#.#...####.#....#....##...#.#.####....##......##....#.#.......#########.#..####...###.#.####.##.##...##..##..#.....#...##.#.#..##..#.#...####.#....#....##...#.#.####....##......##....#.#.......#########.#..####...###.#.####.##.##...##..##..#.....#...##.#.#..##..#.#...####.#....#....##...#.#.####....##......##....#.#.......#########.#..####...###.#.####.##.##...##..##..#.....#...##.#.#..##..#.#...####.#....#....##...#.#.####....##......##....#.#.......#########.#..####...###.#.####.##.##...##..##..#.....#...##.#.#..##..#.#...#
#####.#.....#####..##.#.##.#......#...##.####......#.#...#.#....###.##.#..###....#....#.###....##...#...#.####.##...#.####....#####..#....#.#..##.##..##....#.....#.##.......#.####..####.###..##.#...######........####....#..##.##.###.#..###.#....###.#..#..###..##.##..##...#..#....##.....#..#####.###########....##..#......##.#####..#.#..#####.#....#.##..........###.###.#.....###.#..#..###..##.##..##...#..#....##.....#..#####.###########....##..#......##.#####..#.#..#####.#....#.##..........###.###.#.....###.#..#..###..##.##..##...#..#....##.....#..#####.###########....##..#......##.#####..#.#..#####.#....#.##..........###.###.#.....###.#..#..###..##.##..##...#..#....##.....#..#####.###########....##..#......##.#####..#.#..#####.#....#.##..........###.###.#.....###.#..#..###..##.##..##...#..#....##.....#..#####.###########....##..#......##.#####..#.#..#####.#....#.##..........###.###.#.....###.#..#..###..##.##..##...#..#....##.....#..#####.###########....##..#......##.#####..#.#..#####.#.
..#..#...##..###.##.#####...#..#..###..#..##.#.#.###.#.##.#####...#..###.#..###..#...#.##.#....##.##..#######..#.....###...#.##..##..#.####.#...#.#.......#..##..###..####..#....#.###.####..#...##..##..##...#..#.##.#.#.#######.#.#.##..#......#....##.##.##.####..####.##.....###..#....#.#.#.#.##..####..#....#...#..#########...######.#####.#.#..##..#.##...##..#..#.##..#.#.##....##.##.##.####..####.##.....###..#....#.#.#.#.##..####..#....#...#..#########...######.#####.#.#..##..#.##...##..#..#.##..#.#.##....##.##.##.####..####.##.....###..#....#.#.#.#.##..####..#....#...#..#########...######.#####.#.#..##..#.##...##..#..#.##..#.#.##....##.##.##.####..####.##.....###..#....#.#.#.#.##..####..#....#...#..#########...######.#####.#.#..##..#.##...##..#..#.##..#.#.##....##.##.##.####..####.##.....###..#....#.#.#.#.##..####..#....#...#..#########...######.#####.#.#..##..#.##...##..#..#.##..#.#.##....##.##.##.####..####.##.....###..#....#.#.#.#.##..####..#....#...#..#########...######.#####.#.#..##
..#.#.#...#.##..#.##...#.##.#.....###.##.#####....#.....#.##.##.###.#.#.#....##..##.#.#.###.#.###.##.####...#..#.##...#.##.##.#.#..##...#.##......###.###.##..#####..###...###..###..#..#.##.#####..#..##....#.##.###..#.###.##..##.####...#.##.##.##.#..#.#####...#.#..#####..###..####...##..##.#..###.####.#......##...#.....###......#####.####.###..#..#..##..#.#.####.#....#..#.##.#..#.#####...#.#..#####..###..####...##..##.#..###.####.#.#....##...#.....###......#####.####.###..#..#..##..#.#.####.#....#..#.##.#..#.#####...#.#..#####..###..####...##..##.#..###.####.#......##...#.....###......#####.####.###..#..#..##..#.#.####.#....#..#.##.#..#.#####...#.#..#####..###..####...##..##.#..###.####.#......##...#.....###......#####.####.###..#..#..##..#.#.####.#....#..#.##.#..#.#####...#.#..#####..###..####...##..##.#..###.####.#......##...#.....###......#####.####.###..#..#..##..#.#.####.#....#..#.##.#..#.#####...#.#..#####..###..####...##..##.#..###.####.#......##...#.....###......#####.####.###..
#######.#.##.#....#####..#...###...#...###..##.#.#.#.#.##.###....#.##....####.#.#..#.##..##....###.#..#...###.....#...##....#...##..#.#..#.#.##.#...######.##..##...#.###..###.##.##..##.#..###..###.#.#.##.#...#..#####.#.###.##...##.#...#...###..#...##.#.###.#.#.#...####.#..#.####...#..#.#..#.##..#......##.####...#....#.##.###...####..##..###.......###.###.#.#.###...##..##..#...##.#.###.#.#.#...####.#..#.####...#..#.#..#.##..#......##.####...#....#.##.###...####..##..###.......###.###.#.#.###...##..##..#...##.#.###.#.#.#...####.#..#.####...#..#.#..#.##..#......##.####...#....#.##.###...####..##..###.......###.###.#.#.###...##..##..#...##.#.###.#.#.#...####.#..#.####...#..#.#..#.##..#......##.####...#....#.##.###...####..##..###.......###.###.#.#.###...##..##..#...##.#.###.#.#.#...####.#..#.####...#..#.#..#.##..#......##.####...#....#.##.###...####..##..###.......###.###.#.#.###...##..##..#...##.#.###.#.#.#...####.#..#.####...#..#.#..#.##..#......##.####...#....#.##.###...####..##..###...
#.#.#.###...#.####...##.#..#####.####.#..#....#...###.##.###..#.##..##.#..#......##..#.##.#.###.###.#..#.#.###.#.#..##...####...##.#.#.#.####....###.##.##....#...#..####.#.##.....#..#.##..#...#.#.##.#####.#.#.#.#..###.###.#.###.#.#..#####.#.##.#.#.#..##...#...##..#...##....##.###.#.....###...#.###..#..#....#.#.#.##...#..##.#...#.#.#......##.####....#..#.##.####....#.#.###.#.#.#..##...#...##..#...##....##.###.#.....###...#.###..#..#....#.#.#.##...#..##.#...#.#.#......##.####....#..#.##.####....#.#.###.#.#.#..##...#...##..#...##....##.###.#.....###...#.###..#..#....#.#.#.##...#..##.#...#.#.#......##.####....#..#.##.####....#.#.###.#.#.#..##...#...##..#...##....##.###.#.....###...#.###..#..#....#.#.#.##...#..##.#...#.#.#......##.####....#..#.##.####....#.#.###.#.#.#..##...#...##..#...##....##.###.#.....###...#.###..#..#....#.#.#.##...#..##.#...#.#.#......##.####....#..#.##.####....#.#.###.#.#.#..##...#...##..#...##....##.###.#.....###...#.###..#..#....#.#.#.##...#..##.#...#.#.#......##.##
#.####...#.####.#.#..#.#...#...#####.#.......##.###.......##.#..##...#..#.#...#..#######....#..#..####.#.#####.#......#..##..#...#...##.#..##.##.###...#....####.....#...##..#..###.#.##.#..###....#.#..#.#..#...#..##..##...#.####..##..###.####.##.#...##.......####..#....#.##....##...##.#...#..###.#.##..###..###.#####.##.#..###....##.##.#.##...#.###..####.#...####.##..#.#..##.#...##.......####..#....#.##....##...##.#...#..###.#.##..###..###.#####.##.#..###....##.##.#.##...#.###..####.#...####.##..#.#..##.#...##.......####..#....#.##....##...##.#...#..###.#.##..###..###.#####.##.#..###....##.##.#.##...#.###..####.#...####.##..#.#..##.#...##.......####..#....#.##....##...##.#...#..###.#.##..###..###.#####.##.#..###....##.##.#.##...#.###..####.#...####.##..#.#..##.#...##.......####..#....#.##....##...##.#...#..###.#.##..###..###.#####.##.#..###....##.##.#.##...#.###..####.#...####.##..#.#..##.#...##.......####..#....#.##....##...##.#...#..###.#.##..###..###.#####.##.#..###....##.##.#.##...#.
#.#..###.#.####.#..#.#.##...#....##.###.##..####....#....####.#.#####.##.##...#.####.#...##....#.#....####..#.###...#.###.########..##.#.#....##.##..#.##.#..#####.#.##..##.#####.#...#.#..#..####..#.##.#..#.##....#.....#####...##.##.##....##..##...######.#.###.##..#.#..#.#...#.#...###.##...###....##..####.#####.#.####..#.#.#.....#..##.#.....##.....##.######....#...#...##.##...######.#.###.##..#.#..#.#...#.#...###.##...###....##..####.#####.#.####..#.#.#.....#..##.#.....##.....##.######....#...#...##.##...######.#.###.##..#.#..#.#...#.#...###.##...###....##..####.#####.#.####..#.#.#.....#..##.#.....##.....##.######....#...#...##.##...######.#.###.##..#.#..#.#...#.#...###.##...###....##..####.#####.#.####..#.#.#.....#..##.#.....##.....##.######....#...#...##.##...######.#.###.##..#.#..#.#...#.#...###.##...###....##..####.#####.#.####..#.#.#.....#..##.#.....##.....##.######....#...#...##.##...######.#.###.##..#.#..#.#...#.#...###.##...###....##..####.#####.#.####..#.#.#.....#..##.#.....##.
##..#..#....######.#.##.##....#..#.....#...#..##..##.##.#.#.#..#.#...#..##.#..#..#.#.#.#.....##.#...###.#######.#..##..#..####..#.##.#.###..##..#..##.##.#...##......###.##.####....###.#.##.##.##.##..#.#.#...###..#...##.###....##...#..#.##.#..#......#....##.#.#..##.#.#####.....#####.##.##.###.#.#####.#..#.....#.#....#####.#######.###...#....#####.#####..####.###...#.###..#......#....##.#.#..#..#.#####.....#####.##.##.###.#.#####.#..#.....#.#....#####.#######.###...#....#####.#####..####.###...#.###..#......#....##.#.#..#..#.#####.....#####.##.##.###.#.#####.#..#.....#.#....#####.#######.###...#....#####.#####..####.###...#.###..#......#....##.#.#..#..#.#####.....#####.##.##.###.#.#####.#..#.....#.#....#####.#######.###...#....#####.#####..####.###...#.###..#......#....##.#.#..#..#.#####.....#####.##.##.###.#.#####.#..#.....#.#....#####.#######.###...#....#####.#####..####.###...#.###..#......#....##.#.#..#..#.#####.....#####.##.##.###.#.#####.#..#.....#.#....#####.#######.###...#....###
#........###...##..##.#.###.#....#..##....##.###.#..#..#.####..#...##....#..........#.#.#.##..#.#..##..#...###.#...###..###.#.######.###.#...#.#####..#....#.##......###..#..##.#.#..#..#..#.###....#..##.#.##..##..#..#.#.#.#...#######..#.#.##..#.##...####..#.#.##..#...#..#..#..#..####.#...##.......#####.###.#.#...####..#.##..#...##.##.....#####.####.##.##..##.##...######..#.##...####..#.#.##..#...#..#..#..#..####.#...##.......#####.###.#.#...####..#.##..#...##.##.....#####.####.##.##..##.##...######..#.##...####..#.#.##..#...#..#..#..#..####.#...##.......#####.###.#.#...####..#.##..#...##.##.....#####.####.##.##..##.##...######..#.##...####..#.#.##..#...#..#..#..#..####.#...##.......#####.###.#.#...####..#.##..#...##.##.....#####.####.##.##..##.##...######..#.##...####..#.#.##..#...#..#..#..#..####.#...##.......#####.###.#.#...####..#.##..#...##.##.....#####.####.##.##..##.##...######..#.##...####..#.#.##..#...#..#..#..#..####.#...##.......#####.###.#.#...####..#.##..#...##.##.....#####.
###.#...#..#..#.#...#....##.#.#....#######.#.#..#..#..##.##....##...#..#...#.#.##...#..###.#.#.#...######..##.......###.#..#.##.#.##.#.##.##.#..###.#.#.#..#####..#...#..########...#.#...#.###..#.####.#....###.#..##..###.##.#..####..#########....#..#....###...##.#####.###.#.#.###...##...####.....##..##.#######.#.#..#..##..#..###.##.....###..#.#.##.#..#....###.#..###...#.....#..#....###...##.#####.###.#.#.###...##...####.....##..##.#######.#.#..#..##..#..###.##.....###..#.#.##.#..#....###.#..###...#.....#..#....###...##.#####.###.#.#.###...##...####.....##..##.#######.#.#..#..##..#..###.##.....###..#.#.##.#..#....###.#..###...#.....#..#....###...##.#####.###.#.#.###...##...####.....##..##.#######.#.#..#..##..#..###.##.....###..#.#.##.#..#....###.#..###...#.....#..#....###...##.#####.###.#.#.###...##...####.....##..##.#######.#.#..#..##..#..###.##.....###..#.#.##.#..#....###.#..###...#.....#..#....###...##.#####.###.#.#.###...##...####.....##..##.#######.#.#..#..##..#..###.##.....###..#.#
.##...#.#..###.##..#...####..###.#....##.#####.....#.##.######..#...#.###.###..###.#...#.##..##.#....#....#.##.##..###..##...####.#####.##.#..###..#.#.#.####..###..####..#.#..####..######..##.#..##..#..##.#.....#..#.######...#.#...#.#.##.###.#.#..#.#..##..#...#...#...#.##.######.#.#..#..#####.#.#...##..###......####....#..#...#.#.#####......#....#.####..#####..##...####.#.#..#.#..##..#...#...#...#.##.######.#.#..#..#####.#.#...##..###......####....#..#...#.#.#####......#....#.####..#####..##...####.#.#..#.#..##..#...#...#...#.##.######.#.#..#..#####.#.#...##..###......####....#..#...#.#.#####......#....#.####..#####..##...####.#.#..#.#..##..#...#...#...#.##.######.#.#..#..#####.#.#...##..###......####....#..#...#.#.#####......#....#.####..#####..##...####.#.#..#.#..##..#...#...#...#.##.######.#.#..#..#####.#.#...##..###......####....#..#...#.#.#####......#....#.####..#####..##...####.#.#..#.#..##..#...#...#...#.##.######.#.#..#..#####.#.#...##..###......####....#..#...#.#.#####......#.
###.###...#..#.#..#...#.##.####...#.#.#.#..#..#...#..#......###..#.###.#.####..#.###.#.#####.######...#..#...####.##.##.##.###.#####...#..#.#...#....######.....###.##..##..#....#..##......####.#.##.#.##..##...#..##.##....#.##.#.#.###.#..#.#.##......##.#####..##...#.##...#.#.#.#...#..#...##......###..#.###.#.#.#.#.#..#.##.##.###..###....#.#..#...#.####....##.###.##.#.#####......##.#####..##...#.##...#.#.#.#...#..#...##......###..#.###.#.#.#.#.#..#.##.##.###..###....#.#..#...#.####....##.###.##.#.#####......##.#####..##...#.##...#.#.#.#...#..#...##......###..#.###.#.#.#.#.#..#.##.##.###..###....#.#..#...#.####....##.###.##.#.#####......##.#####..##...#.##...#.#.#.#...#..#...##......###..#.###.#.#.#.#.#..#.##.##.###..###....#.#..#...#.####....##.###.##.#.#####......##.#####..##...#.##...#.#.#.#...#..#...##......###..#.###.#.#.#.#.#..#.##.##.###..###....#.#..#...#.####....##.###.##.#.#####......##.#####..##...#.##...#.#.#.#...#..#...##......###..#.###.#.#.#.#.#..#.##.##.###..###....#.#..#.
######.##.#####......#..##....#...#...#...#..#....#.#.##.#.######.##..####.##....#####.##..#..#.#.....#.#...#.#..##..#.###..#########.....#.#.#########.....##.#..####.##..#....##.#...#...#.#.#..#....#...##....#..###.#.#....#..#...##.###..######..##..##.#######.######.#.....###.##.#.#..#.##...#..###.#####.##....##.#.##.####...#..##.#..#...#..#....#.#.#.#.#..#..#..#.####.###..##..##.#######.######.#.....###.##.#.#..#.##...#..###.#####.##....##.#.##.####...#..##.#..#...#..#....#.#.#.#.#..#..#..#.####.###..##..##.#######.######.#.....###.##.#.#..#.##...#..###.#####.##....##.#.##.####...#..##.#..#...#..#....#.#.#.#.#..#..#..#.####.###..##..##.#######.######.#.....###.##.#.#..#.##...#..###.#####.##....##.#.##.####...#..##.#..#...#..#....#.#.#.#.#..#..#..#.####.###..##..##.#######.######.#.....###.##.#.#..#.##...#..###.#####.##....##.#.##.####...#..##.#..#...#..#....#.#.#.#.#..#..#..#.####.###..##..##.#######.######.#.....###.##.#.#..#.##...#..###.#####.##....##.#.##.####...#..##.#..#...#..#.
..#.#......#...##.#.....#.##..####.########...###.#.#.#.#.##..##...#.##.#.##..#..#.#...#.......##...#...#.#.#.####..#..#.#.#..#.#..###.#......##.#.#...###.##.#...#.#....#..#..####..##..#..####..#....#..#.#.#..#.####.##..##...#.#....#.....###..#..###....#.#...####.#.###..##..####..##...##..#.....##.....#..##.#.##.....####..#.##.##.#.###.##...##.###..##..#.#.....#.###..##..#..###....#.#...####.#.###..##..####..##...##..#.....##.....#..##.#.##.....####..#.##.##.#.###.##...##.###..##..#.#.....#.###..##..#..###....#.#...####.#.###..##..####..##...##..#.....##.....#..##.#.##.....####..#.##.##.#.###.##...##.###..##..#.#.....#.###..##..#..###....#.#...####.#.###..##..####..##...##..#.....##.....#..##.#.##.....####..#.##.##.#.###.##...##.###..##..#.#.....#.###..##..#..###....#.#...####.#.###..##..####..##...##..#.....##.....#..##.#.##.....####..#.##.##.#.###.##...##.###..##..#.#.....#.###..##..#..###....#.#...####.#.###..##..####..##...##..#.....##.....#..##.#.##.....####..#.##.##.#.###.##...##
..#.#.....######..#.......###....###.###.....#.##...###..#####..##..##...###...#####.##.....#...#..#.##.#.#####.#.#..#..#...##.###..##...#..##.###.#.#..###...##.#..#.###.#...#..##.#..##.#.##....##..##..#.........#.##..##....##.#....##..####..#....###.##.#.####.##.###.###.#.##.#.##.######..####.#.##.#.......#....#.#.#..###...##..#.#....####..#.#.#.####.#..##..##.#.######.#....###.##.#.####.##.###.###.#.##.#.##.######..####.#.##.#.......#....#.#.#..###...##..#.#....####..#.#.#.####.#..##..##.#.######.#....###.##.#.####.##.###.###.#.##.#.##.######..####.#.##.#.......#....#.#.#..###...##..#.#....####..#.#.#.####.#..##..##.#.######.#....###.##.#.####.##.###.###.#.##.#.##.######..####.#.##.#.......#....#.#.#..###...##..#.#....####..#.#.#.####.#..##..##.#.######.#....###.##.#.####.##.###.###.#.##.#.##.######..####.#.##.#.......#....#.#.#..###...##..#.#....####..#.#.#.####.#..##..##.#.######.#....###.##.#.####.##.###.###.#.##.#.##.######..####.#.##.#.......#....#.#.#..###...##..#.#....####..#.
......##...#....#.#...###...##.#####....#..###.#..##.##..#.###.#.####.##.###....#.#.#..####.##.###.#.###....#...###.#..##.#....###.###.###.#..#######.#.#.##...........##..#.##.#.#...#..########..#########.##.#......#..##.##...#..#...#.#....#.....###..#....##.#.##.#..#..#.##.#..#.##..##..#..###.###.#..##...##.#####.##.###.##.###..#.#.#....#.#.#..###..#.#.#.#..#####...##......###..#....##.#.##.#..#..#.##.#..#.##..##..#..###.###.#..##...##.#####.##.###.##.###..#.#.#....#.#.#..###..#.#.#.#..#####...##......###..#....##.#.##.#..#..#.##.#..#.##..##..#..###.###.#..##...##.#####.##.###.##.###..#.#.#....#.#.#..###..#.#.#.#..#####...##......###..#....##.#.##.#..#..#.##.#..#.##..##..#..###.###.#..##...##.#####.##.###.##.###..#.#.#....#.#.#..###..#.#.#.#..#####...##......###..#....##.#.##.#..#..#.##.#..#.##..##..#..###.###.#..##...##.#####.##.###.##.###..#.#.#....#.#.#..###..#.#.#.#..#####...##......###..#....##.#.##.#..#..#.##.#..#.##..##..#..###.###.#..##...##.#####.##.###.##.###..#.#.#....#.#.#
..##....#..########...##.....#.#.####.#..#####.#.#.#.###..###..##.###.#..#####..#.#..##...##.##.##.###.##.#.#####.....#..#####.#.#.#.#.##..#..#.#.##..#.#..#...#.#..#....##.#.#.#..#..#..#...#.###....#...#.####..##......#.#.#.##.##..#...#...#####..####.##.##########..####....#.#...####...#.##..####.####...#####..#.......##...#.#.###..#.#.#.#..#####.......##.....#..##..######..####.##.##########..####....#.#...####...#.##..####.####...#####..#.......##...#.#.###..#.#.#.#..#####.......##.....#..##..######..####.##.##########..####....#.#...####...#.##..####.####...#####..#.......##...#.#.###..#.#.#.#..#####.......##.....#..##..######..####.##.##########..####....#.#...####...#.##..####.####...#####..#.......##...#.#.###..#.#.#.#..#####.......##.....#..##..######..####.##.##########..####....#.#...####...#.##..####.####...#####..#.......##...#.#.###..#.#.#.#..#####.......##.....#..##..######..####.##.##########..####....#.#...####...#.##..####.####...#####..#.......##...#.#.###..#.#.#.#..##
#.#.##.####.####.#....##....##.#.#.##..##.#.#.####..#..#.#..##.......##.#..##.#.#.#..#..##..#......####..#.#.####..#.#####..###...#..###..#..##..#.#..#.##.##..###...#.#.#########...#..#...#.######....##.##.##..###.#.#.####..####..#..#.#.#.#.###.#..#.###..##.#####......#.#.#######...##.##.#.....##........#..##....#...###.#..#.......#..##.....###.#.#.##....####..##...#..####.#..#.###..##.#####......#.#.#######...##.##.#.....##........#..##....#...###.#..#.......#..##.....###.#.#.##....####..##...#..####.#..#.###..##.#####......#.#.#######...##.##.#.....##........#..##....#...###.#..#.......#..##.....###.#.#.##....####..##...#..####.#..#.###..##.#####......#.#.#######...##.##.#.....##........#..##....#...###.#..#.......#..##.....###.#.#.##....####..##...#..####.#..#.###..##.#####......#.#.#######...##.##.#.....##........#..##....#...###.#..#.......#..##.....###.#.#.##....####..##...#..####.#..#.###..##.#####......#.#.#######...##.##.#.....##........#..##....#...###.#..#.......#..##.....##
###.#.####..#....##.#....####.###.#.#.....#...##.#...#.##..#...#.##.#.#.###..#.####........###...#.##..##...##..#...##.##.##..#.###..#.#...#.#.#..##...#.#..##..###..##..#....#......#.#####..#..##.######.#.###..#.#####.#####.##.#..#.###..#.#.#..##....###.#..###..###.#....#.####.#.#..###....#.#..#..##.#####.###.###.##..####..##..####.###...#.##.#..#.#....##.#....#...#..#.#..##....###.#..###..###.#....#.####.#.#..###....#.#..#..##.#####.###.###.##..####..##..####.###...#.##.#..#.#....##.#....#...#..#.#..##....###.#..###..###.#....#.####.#.#..###....#.#..#..##.#####.###.###.##..####..##..####.###...#.##.#..#.#....##.#....#...#..#.#..##....###.#..###..###.#....#.####.#.#..###....#.#..#..##.#####.###.###.##..####..##..####.###...#.##.#..#.#....##.#....#...#..#.#..##....###.#..###..###.#....#.####.#.#..###....#.#..#..##.#####.###.###.##..####..##..####.###...#.##.#..#.#....##.#....#...#..#.#..##....###.#..###..###.#....#.####.#.#..###....#.#..#..##.#####.###.###.##..####..##..####.###...#.##.
#..######...##.#.#.##.##.#.##.###.####..#.#..##.#.#...#..#..###..#...##....#.###..#.#.#...#......#...#.#..#..#....##.##.#..####.##.......#....#.#.#...##..####.#.#..#.####.#.#..##...#.#.#..#####..#####..#.###..#..###..#....#...##..###.##..#######..##...#..###.##..##.........###.#..#.#.##..........#####.#.#.#..#...#..#.##.#...#...#....##...#..#..#..##.##.####.....#.#...#.####..##...#..###.##..##.........###.#..#.#.##..........#####.#.#.#..#...#..#.##.#...#...#....##...#..#..#..##.##.####.....#.#.#.#.####..##...#..###.##..##.........###.#..#.#.##..........#####.#.#.#..#...#..#.##.#...#...#....##...#..#..#..##.##.####.....#.#...#.####..##...#..###.##..##.........###.#..#.#.##..........#####.#.#.#..#...#..#.##.#...#...#....##...#..#..#..##.##.####.....#.#...#.####..##...#..###.##..##.........###.#..#.#.##..........#####.#.#.#..#...#..#.##.#...#...#....##...#..#..#..##.##.####.....#.#...#.####..##...#..###.##..##.........###.#..#.#.##..........#####.#.#.#..#...#..#.##.#...#...#....##...#..#.
#..#.####.#.#.#....#..#..#.#.#.#..#...#.#.####.#.#.#..#..#.##.##.#..#..###.##.#.#.##...#..##....#.#.####..####..#.#...#..#.#.##......#....#..#####...#.....####..#.####.###.##....##...#.#..#####.#....#.#..###.....#.#.#.#........##.####..##.#...#.#....##.#....###.###.#.#.####...###.#.#..#...#.#..#....#.#.####.....#..###.##.##..#..#..#.#....#.....#..#.#.#.##.#..##.#.#.#.##..#.#....##.#....###.###.#.#.####...###.#.#..#...#.#..#....#.#.####.....#..###.##.##..#..#..#.#....#.....#..#.#.#.##.#..##.#.#.#.##..#.#....##.#....###.###.#.#.####...###.#.#..#...#.#..#....#.#.####.....#..###.##.##..#..#..#.#....#.....#..#.#.#.##.#..##.#.#.#.##..#.#....##.#....###.###.#.#.####...###.#.#..#...#.#..#....#.#.####.....#..###.##.##..#..#..#.#....#.....#..#.#.#.##.#..##.#.#.#.##..#.#....##.#....###.###.#.#.####...###.#.#..#...#.#..#....#.#.####.....#..###.##.##..#..#..#.#....#.....#..#.#.#.##.#..##.#.#.#.##..#.#....##.#....###.###.#.#.####...###.#.#..#...#.#..#....#.#.####.....#..###.##.##..#..#..#.#....#....
#####.#..####.#......#..#.#.##.##....#.##....##########..#.#..#####.##.#.###...#....###...#.#.#....#.#.....##.#..###......#.....#.#######.....#.#.##.....#.##.....#.###..###....#.##.##.##....##..##.#..##..###...######.#.#...#..###.###.##....##.###.#.#.#.####.#.#.#######.#..#..###..##.#.###.####....#.#.......#....#.##..#..#####.###..##..#.#..#..#.#.####....###.#....#.###.#.###.#.#.#.####.#.#.#######.#..#..###..##.#.###.####....#.#.......#....#.##..#..#####.###..##..#.#..#..#.#.####....###.#....#.###.#.###.#.#.#.####.#.#.#######.#..#..###..##.#.###.####....#.#.......#....#.##..#..#####.###..##..#.#..#..#.#.####....###.#....#.###.#.###.#.#.#.####.#.#.#######.#..#..###..##.#.###.####....#.#.......#....#.##..#..#####.###..##..#.#..#..#.#.####....###.#....#.###.#.###.#.#.#.####.#.#.#######.#..#..###..##.#.###.####....#.#.......#....#.##..#..#####.###..##..#.#..#..#.#.####....###.#....#.###.#.###.#.#.#.####.#.#.#######.#..#..###..##.#.###.####....#.#.......#....#.##..#..#####.###..##..#.#..#..
..#######..#..#....#.###.##.##..#...####...##...#....##.....##..##..####.#.##.###.#####...#.##......#.....####.###.###.#.###....#..#.#.#.###..##.##..#..#..##.###..#####......###.#.#.#.###.##.##...#..#.#.#..###..#.#..#...##.###.#......#...######..#.###.#..##.#..#..#.##.#...###..#...#.#..##..##...#...#####..#....#..#.....#####...#.###.......#####.#.#####....##.#.###....#####..#.###.#..##.#..#..#.##.#...###..#...#.#..##..##...#...#####..#....#..#.....#####...#.###.......#####.#.#####....##.#.###....#####..#.###.#..##.#..#..#.##.#...###..#...#.#..##..##...#...#####..#....#..#.....#####...#.###.......#####.#.#####....##.#.###....#####..#.###.#..##.#..#..#.##.#...###..#...#.#..##..##...#...#####..#....#..#.....#####...#.###.......#####.#.#####....##.#.###....#####..#.###.#..##.#..#..#.##.#...###..#...#.#..##..##...#...#####..#....#..#.....#####...#.###.......#####.#.#####....##.#.###....#####..#.###.#..##.#..#..#.##.#...###..#...#.#..##..##...#...#####..#....#..#.....#####...#.###.......####
#..##....######.#...####.##.....##..#.#.##.##..##.####.########...##..###..##...###.###.##..#..##...#.#.##...######...##...#..####.#...########.#..#.#.......####.#.#..#.#.########.#..##.##..#...#.#...##.#####.#.#.#..#..#.##.#...#..####..#..#.##....#.#####..#.###..#.#...#.#..#.##..#...######.#..#######..#...###.#.#.#######...##.#...######..#.####..#...#...##..######.#..#.##....#.#####..#.###..#.#...#.#..#.##..#...######.#..#######..#...###.#.#.#######...##.#...######..#.####..#...#...##..######.#..#.##....#.#####..#.###..#.#...#.#..#.##..#...######.#..#######..#...###.#.#.#######...##.#...######..#.####..#...#...##..######.#..#.##....#.#####..#.###..#.#...#.#..#.##..#...######.#..#######..#...###.#.#.#######...##.#...######..#.####..#...#...##..######.#..#.##....#.#####..#.###..#.#...#.#..#.##..#...######.#..#######..#...###.#.#.#######...##.#...######..#.####..#...#...##..######.#..#.##....#.#####..#.###..#.#...#.#..#.##..#...######.#..#######..#...###.#.#.#######...##.#...######..#.##
#.####.##.#.####.#.#.#.#..##.#.#..###.#.#######.###..##..##.###.##..###..#.#.######.##.###....#....##.#..#####..#.#.###.#..######..##.#.#####..#.#####....##.#..#.#..###..#..#.#.####.....#.#..###..##.#.##.....#..#.#...#..#..#....###.#....#.##..#..####.#..####.##...........######..#.....##....####.#.##.#..#.#.##.#.#.#..###.#.#.##.###.#####..#.#.#.##.....###..#.###...#.###..#..####.#..####.##...........######..#.....##....####.#.##.#..#.#.##.#.#.#..###.#.#.##.###.#####..#.#.#.##.....###..#.###...#.###..#..####.#..####.##...........######..#.....##....####.#.##.#..#.#.##.#.#.#..###.#.#.##.###.#####..#.#.#.##.....###..#.###...#.###..#..####.#..####.##...........######..#.....##....####.#.##.#..#.#.##.#.#.#..###.#.#.##.###.#####..#.#.#.##.....###..#.###...#.###..#..####.#..####.##...........######..#.....##....####.#.##.#..#.#.##.#.#.#..###.#.#.##.###.#####..#.#.#.##.....###..#.###...#.###..#..####.#..####.##...........######..#.....##....####.#.##.#..#.#.##.#.#.#..###.#.#.##.###.#####..#.#.
.#.##..#.#.##..##..#.....#.##.##.#.##.#####..#..#.#####...####.#.##.#..##.#...#...###....#..#..#...##.#.###.#.##...#...#.......#...#.###.###...####.##...##....#.###.#.##..#.#...##..#..##..#.##.##.#..##.###.#.######.#..#...###......##.....###....#...#.#..#.##......##..##...#.........##.##.#.....###.....#.###.#....###....###.##.#####....##....###...##...##...#..#####....#....#...#.#..#.##......##..##...#.........##.##.#.....###.....#.###.#....###....###.##.#####....##....###...##...##...#..#####....#....#...#.#..#.##......##..##...#.........##.##.#.....###.....#.###.#....###....###.##.#####....##....###...##...##...#..#####....#....#...#.#..#.##......##..##...#.........##.##.#.....###.....#.###.#....###....###.##.#####....##....###...##...##...#..#####....#....#...#.#..#.##......##..##...#.........##.##.#.....###.....#.###.#....###....###.##.#####....##....###...##...##...#..#####....#....#...#.#..#.##......##..##...#.........##.##.#.....###.....#.###.#....###....###.##.#####....##....##
.##..##.##....####..###..###.##.#.#.#.#.###.#.###.....#...#..###..##.#.#...##.#...#..#..######.#.##...#...#..###..#.##..#.....##.##..#####.#.#.##...#....##....#.###.#.....#.#..#..##.#..#..#.#..########.#.####.##..#...#...#.....#...#.#.#####.#.#.##.....##...#.#.##.#.#.....#######.#.....######.######.###.#.##.#.###.##..####......##..#.###..#.###.###..##.......#....#..#.###.#.##.....##...#.#.##.#.#.....#######.#.....######.######.###.#.##.#.###.##..####......##..#.###..#.###.###..##.......#....#..#.###.#.##.....##...#.#.##.#.#.....#######.#.....######.######.###.#.##.#.###.##..####......##..#.###..#.###.###..##.......#....#..#.###.#.##.....##...#.#.##.#.#.....#######.#.....######.######.###.#.##.#.###.##..####......##..#.###..#.###.###..##.......#....#..#.###.#.##.....##...#.#.##.#.#.....#######.#.....######.######.###.#.##.#.###.##..####......##..#.###..#.###.###..##.......#....#..#.###.#.##.....##...#.#.##.#.#.....#######.#.....######.######.###.#.##.#.###.##..####......##..#.###..#.###
...##.##.#..#.##.##.##..#.#.##.###.######...##..##.###.######.#..##.#...##..##.#.###...#.##...###..#.###..####...##.#...#####.#.####..##..#.##.#..#.##...#....###.#.....##.#.######.####.#.....##..#.....##.#.#....#.#####...##..#....##.#..#.#.#...###.#.#..##....#..###.##.##..#...#..#.......#.##.#.####.....#.#.####.#.###....##.#.##...#..###...##.#..#..#.####..#..###.#..###....###.#.#..##....#..###.##.##..#...##.#.......#.##.#.####.....#.#.####.#.###....##.#.##...#..###...##.#..#..#.####..#..###.#..###....###.#.#..##....#..###.##.##..#...#..#.......#.##.#.####.....#.#.####.#.###....##.#.##...#..###...##.#..#..#.####..#..###.#..###....###.#.#..##....#..###.##.##..#...#..#.......#.##.#.####.....#.#.####.#.###....##.#.##...#..###...##.#..#..#.####..#..###.#..###....###.#.#..##....#..###.##.##..#...#..#.......#.##.#.####.....#.#.####.#.###....##.#.##...#..###...##.#..#..#.####..#..###.#..###....###.#.#..##....#..###.##.##..#...#..#.......#.##.#.####.....#.#.####.#.###....##.#.##...#..###...##.#
####.##.#.....##.##.#.#.#..#..#.#..#.##..#.#..#####..#.####...#.###..###..#.#.###.###.#.##..#########.#####....##.....#.####..#..#.######..#..####....##..#.###.#.##...##.#.....#.##....##.##.####..##.###.#..##.##....###...#.#......##.#.###.######..#.##.#.#....##.#..##.###..####.#.#....##....#.#....#...#.#...##.#..#..###.##.#..#..###.####.#..#.#......#..#........##....#######..#.##.#.#....##.#..##.###..####.#.#....##....#.#....#...#.#...##.#..#..###.##.#..#..###.####.#..#.#......#..#........##....#######..#.##.#.#....##.#..##.###..####.#.#....##....#.#....#...#.#...##.#..#..###.##.#..#..###.####.#..#.#......#..#........##....#######..#.##.#.#....##.#..##.###..####.#.#....##....#.#....#...#.#...##.#..#..###.##.#..#..###.####.#..#.#......#..#........##....#######..#.##.#.#....##.#..##.###..####.#.#....##....#.#....#...#.#...##.#..#..###.##.#..#..###.####.#..#.#......#..#........##....#######..#.##.#.#....##.#..##.###..####.#.#....##....#.#....#...#.#...##.#..#..###.##.#..#..###.####.#..#.#
##...##..#.####..####.#...###.#.##..#....#.#.###..######.#.#..##..###..........####...###..#.#..####.#..###.#####.##.###.#.....#.#..#.##..#.####.#....##.#..#.###.###.##.###..##...#.####.#.##.###.#####.##.#.##..##.####.##.#.##.##.....#...####.####..##....######..#..#.######.#######...##....#.###.####..#.##.##.#....#.#.#...###.#....#.#.###...#.#...#....#..#.....##....##.#.####..##....######..#..#.######.#######...##....#.###.####..#.##.##.#....#.#.#...###.#....#.#.###...#.#...#....#..#.....##....##.#.####..##....######..#..#.######.#######...##....#.###.####..#.##.##.#....#.#.#...###.#....#.#.###...#.#...#....#..#.....##....##.#.####..##....######..#..#.######.#######...##....#.###.####..#.##.##.#....#.#.#...###.#....#.#.###...#.#...#....#..#.....##....##.#.####..##....######..#..#.######.#######...##....#.###.####..#.##.##.#....#.#.#...###.#....#.#.###...#.#...#....#..#.....##....##.#.####..##....######..#..#.######.#######...##....#.###.####..#.##.##.#....#.#.#...###.#....#.#.###...#.#
...#....#...###..##.....#.#..##.#.#.....#.#.#..##.#.##...#..##.#..#.####.###.....#.#.....#.#.#####.#.##.##...###......#####..#....#..##.####.##..#.......#.##..#...#.###.#.##.##.#####..##...####.#..#..#.##.##.##.###.##..##..#.#...##..##..#...#.#.###..##.....##...##########..#..#.#....##...##.###.#...###.#.##.#.##...#..#.##.#####.###..#.####.###.#..#..#.....#..##...##..###.#.###..##.....##...##########..#..#.#....##...##.###.#...###.#.##.#.##...#..#.##.#####.###..#.####.###.#..#..#.....#..##...##..###.#.###..##.....##...##########..#..#.#....##...##.###.#...###.#.##.#.##...#..#.##.#####.###..#.####.###.#..#..#.....#..##...##..###.#.###..##.....##...##########..#..#.#....##...##.###.#...###.#.##.#.##...#..#.##.#####.###..#.####.###.#..#..#.....#..##...##..###.#.###..##.....##...##########..#..#.#....##...##.###.#...###.#.##.#.##...#..#.##.#####.###..#.####.###.#..#..#.....#..##...##..###.#.###..##.....##...##########..#..#.#....##...##.###.#...###.#.##.#.##...#..#.##.#####.###..#.####.###
######..#..#..#.#.##..##.#...####...##.####.###.#...#.#.###.##...#.##.###.#..##.###..#....##.#.#..#.###..#.##.#...#.#..#..#.....##..#..#.#..#..#.#.#..#.#.#..#..#...#..#.#.######..#.#####...#..###.##.#.........#####.#....#.....#.#.########.####.....#.........#.##..###.#.#...##...##.#.#...####.#..#..#.#...#.#####.#..#....##...##..#.###.##.#.#..##.##...####.#...##.#..####.##.....#.........#.##..###.#.#...##...##.#.#...####.#..#..#.#...#.#####.#..#....##...##..#.###.##.#.#..##.##...####.#...##.#..####.##.....#.........#.##..###.#.#...##...##.#.#...####.#..#..#.#...#.#####.#..#....##...##..#.###.##.#.#..##.##...####.#...##.#..####.##.....#.........#.##..###.#.#...##...##.#.#...####.#..#..#.#...#.#####.#..#....##...##..#.###.##.#.#..##.##...####.#...##.#..####.##.....#.........#.##..###.#.#...##...##.#.#...####.#..#..#.#...#.#####.#..#....##...##..#.###.##.#.#..##.##...####.#...##.#..####.##.....#.........#.##..###.#.#...##...##.#.#...####.#..#..#.#...#.#####.#..#....##...##..#.###.##.#.#..#
..####.##..#....#....###..#..#...#.###....###..##.#..#.#.###.....#.###.###.#####..##.#..########.#.#.######......##....##.#####...#####.#####.#####.#...###.##...##..###.#####..##.#....##.#####.#..###.#.###.##.#...##.#.###..#..#..##....####.#.#..#.#...#.###.######..#####..#.#.##.#.##..#.#.#.#.##...###.##.##...#.#####..#...##...#.##.#.#....###...###...#.#.#..##.#.#.###..#.#..#.#...#.###.######..#####..#.#.##.#.##..#.#.#.#.##...###.##.##...#.#####..#...##...#.##.#.#....###...###...#.#.#..##.#.#.###..#.#..#.#...#.###.######..#####..#.#.##.#.##..#.#.#.#.##...###.##.##...#.#####..#...##...#.##.#.#....###...###...#.#.#..##.#.#.###..#.#..#.#...#.###.######..#####..#.#.##.#.##..#.#.#.#.##...###.##.##...#.#####..#...##...#.##.#.#....###...###...#.#.#..##.#.#.###..#.#..#.#...#.###.######..#####..#.#.##.#.##..#.#.#.#.##...###.##.##...#.#####..#...##...#.##.#.#....###...###...#.#.#..##.#.#.###..#.#..#.#...#.###.######..#####..#.#.##.#.##..#.#.#.#.##...###.##.##...#.#####..#...##...#.##.#.#....###..
#.#.####..##..####.##.##.####...##.#...####.##.........#...##.##..#.####.##..#.##.#..####..#..##.#.#..#.#..#......#.###..##.#####..#..#.##..#..##.##..#####.#########.####.###.#..###.##..####...#.#.#.#.#...#.##....#...#..###########.##.###.#....##.#.#.####..#..#.#.###...#####.#....#..#..#..##..##..#.#.##.##..##....##.#######.##.#.#.#.#.##.#...#####.#.#.#..#...#..#...#.##...##.#.#.####..#..#.#.###...#####.#....#..#..#..##..##..#.#.##.##..##....##.#######.##.#.#.#.#.##.#...#####.#.#.#..#...#..#...#.##...##.#.#.####..#..#.#.###...#####.#....#..#..#..##..##..#.#.##.##..##....##.#######.##.#.#.#.#.##.#...#####.#.#.#..#...#..#...#.##...##.#.#.####..#..#.#.###...#####.#....#..#..#..##..##..#.#.##.##..##....##.#######.##.#.#.#.#.##.#...#####.#.#.#..#...#..#...#.##...##.#.#.####..#..#.#.###...#####.#....#..#..#..##..##..#.#.##.##..##....##.#######.##.#.#.#.#.##.#...#####.#.#.#..#...#..#...#.##...##.#.#.####..#..#.#.###...#####.#....#..#..#..##..##..#.#.##.##..##....##.#######.##.#.#.#.#.##.#...#
#####.###...####..##..##........#....######...#..#.###.#..#######..#.##...##..####..#.######..##..##....##..#.#.#..#...#.....##.#...#......#.....####.#.#....##.#..#....###....###.###..#.#.###..##...###.#....#.##.####.#####...####..###..#...####..#.#####....#..#..#.###.#...#..#......##.###.#...#..##.#####.###.######.#..#.##.#.##.#.######...##.#.##.###.....#####..##..##..###..#.#####....#..#..#.###.#...#..#......##.###.#...#..##.#####.###.######.#..#.##.#.##.#.######...##.#.##.###.....#####..##..##..###..#.#####....#..#..#.###.#...#..#......##.###.#...#..##.#####.###.######.#..#.##.#.##.#.######...##.#.##.###.....#####..##..##..###..#.#####....#..#..#.###.#...#..#......##.###.#...#..##.#####.###.######.#..#.##.#.##.#.######...##.#.##.###.....#####..##..##..###..#.#####....#..#..#.###.#...#..#......##.###.#...#..##.#####.###.######.#..#.##.#.##.#.######...##.#.##.###.....#####..##..##..###..#.#####....#..#..#.###.#...#..#......##.###.#...#..##.#####.###.######.#..#.##.#.##.#.######...##.#
#.##.##.####.#..#.#....#.#####.#####..##......#.#....##..#.##..##.#.#...##..#####..#...#...#.##..#...###....##..#.##.###.####...#..#.####...#..#.##.#.......#.##.####..#.#..#.#..###.######.#..##.#.#.##.##.##....##.##....##..##..####.#####..#####.#...##.##..#.#..#.##....########....#.#.#..#..#.#.####.#.###..#..#.#..##...######..#.###....##.#####.#....#..###############.#####.#...##.##..#.#..#.##....########....#.#.#..#..#.#.####.#.###..#..#.#..##...######..#.###....##.#####.#....#..###############.#####.#...##.##..#.#..#.##....########....#.#.#..#..#.#.####.#.###..#..#.#..##...######..#.###....##.#####.#....#..###############.#####.#...##.##..#.#..#.##....########....#.#.#..#..#.#.####.#.###..#..#.#..##...######..#.###....##.#####.#....#..###############.#####.#...##.##..#.#..#.##....########....#.#.#..#..#.#.####.#.###..#..#.#..##...######..#.###....##.#####.#....#..###############.#####.#...##.##..#.#..#.##....########....#.#.#..#..#.#.####.#.###..#..#.#..##...######..#.###....##.#####
..#..#.##....####.#.##.#.#.#..##..###........#.#...#.###..#..#..##...#..###.#.#.....##..#.###..#.####.##..#........#.#.#######.##.#..####..#..#..##.##.###.###...#.#.#.....##.#.#.#..#.##..##..##...##.#####.##...####........#.####..#.##.#.##..##.......####.....##....####...#.###.#...####.###..##....#.###.#.#.###.#####..##.###..###..####.###..######..##..#.####.#..#.###..###.......####.....##....####...#.###.#...####.###..##....#.###.#.#.###.#####..##.###..###..####.###..######..##..#.####.#..#.###..###.......####.....##....####...#.###.#...####.###..##....#.###.#.#.###.#####..##.###..###..####.###..######..##..#.####.#..#.###..###.....#.####.....##....####...#.###.#...####.###..##....#.###.#.#.###.#####..##.###..###..####.###..######..##..#.####.#..#.###..###.......####.....##....####...#.###.#...####.###..##....#.###.#.#.###.#####..##.###..###..####.###..######..##..#.####.#..#.###..###.......####.....##....####...#.###.#...####.###..##....#.###.#.#.###.#####..##.###..###..####.###..###
##.######.##.####.....##.###.#....##.#.#...##....#.##..#..###..#######.##...#####.##...##.#...#...#..#..#.#.#####...#.###.#..##.##.#########...#.#..##.##..#.#####.#..###..#.#.#.###...###..###.......###.###...##..#.#.#...#.#.#.#.#.#....##........#.#..#..####....#####..####.##..#.#.#.###.######.#######..#.###..##....#.####..#.###.##.#...#..##..#....#.###.#..#.#..#..##..#.....#.#..#..####....#####..####.##..#.#.#.###.######.#######..#.###..##....#.####..#.###.##.#...#..##..#....#.###.#..#.#..#..##..#.....#.#..#..####....#####..####.##..#.#.#.###.######.#######..#.###..##....#.####..#.###.##.#...#..##..#....#.###.#..#.#..#..##..#.....#.#..#..####....#####..####.##..#.#.#.###.######.#######..#.###..##....#.####..#.###.##.#...#..##..#....#.###.#..#.#..#..##..#.....#.#..#..####....#####..####.##..#.#.#.###.######.#######..#.###..##....#.####..#.###.##.#...#..##..#....#.###.#..#.#..#..##..#.....#.#..#..####....#####..####.##..#.#.#.###.######.#######..#.###..##....#.####..#.###.##.#...#..##..#
#.#.#....#.#.#...#.##..##.######.#...##.#.....##..#####.#....###.###.....#..#.###..###.##...#.#...#..#.#...##..##....#....####.###.#.#.#.###..####..####.#....#.##.##.###.#.##.##..#.#....#..###.##..#..##..######.###..####.##.###.##...##...##....##..##.#.#.###.#..##...##..#....###..#.......#.#.##..#.##..#.#..####.###.####.#.##..#.....#.##..#...##..#.###.####.#.####..#.#.....##..##.#.#.###.#..##...##..#....###..#.......#.#.##..#.##..#.#..####.###.####.#.##..#.....#.##..#...##..#.###.####.#.####..#.#.....##..##.#.#.###.#..##...##..#....###..#.......#.#.##..#.##..#.#..####.###.####.#.##..#.....#.##..#...##..#.###.####.#.####..#.#.....##..##.#.#.###.#..##...##..#....###..#.......#.#.##..#.##..#.#..####.###.####.#.##..#.....#.##..#...##..#.###.####.#.####..#.#.....##..##.#.#.###.#..##...##..#....###..#.......#.#.##..#.##..#.#..####.###.####.#.##..#.....#.##..#...##..#.###.####.#.####..#.#.....##..##.#.#.###.#..##...##..#....###..#.......#.#.##..#.##..#.#..####.###.####.#.##..#.....#.##..#...#
##....#..#..###.##...#.##......#..###.#.#.##.###.#....#.#.####.#.##...#..#.....####.########...##.#.##..#.##....###.#....#.##.##.###.##.###..##.##.#.#.#.#.#.#..#.#.#......#.###..##....#.#...######...#.#...#..#.#..##.###########...#####....#.#...###..#.#...####.....#.##.##..#.####..##...##.#.#.##..#...#....###..#..#.#.#.#...#..####.#.#..###..####.####...#.#.#.#.######...#...###..#.#...####.....#.##.##..#.####..##...##.#.#.##..#...#....###..#..#.#.#.#...#..####.#.#..###..####.####...#.#.#.#.######...#...###..#.#...####.....#.##.##..#.####..##...##.#.#.##..#...#....###..#..#.#.#.#...#..####.#.#..###..####.####...#.#.#.#.######...#...###..#.#...####.....#.##.##..#.####..##...##.#.#.##..#...#....###..#..#.#.#.#...#..####.#.#..###..####.####...#.#.#.#.######...#...###..#.#...####.....#.##.##..#.####..##...##.#.#.##..#...#....###..#..#.#.#.#...#..####.#.#..###..####.####...#.#.#.#.######...#...###..#.#...####.....#.##.##..#.####..##...##.#.#.##..#...#....###..#..#.#.#.#...#..####.#.#..###..##
###..##...#..#..#.##.###..##.#.........###.#..#....#.#.....###...#..#....#.####..##.....#..#.##..#..##......###.##.#.##...##.##.#...###.#..#..#....#.##...#..#.....#..#.#.####.###..#.##..#.####..#####.#..##.#..###.#.#..##..#..##.##.....#.#..#..#..#.###..###.#.#..#####.........##.##.###.####..#.#......####.#..##.######.#...#...#..#.#....##..##.#........#.###..##.##.#..##...#..#.###..###.#.#..#####.........##.##.###.####..#.#......####.#..##.######.#...#...#..#.#....##..##.#........#.###..##.##.#..##...#..#.###..###.#.#..#####.........##.##.###.####..#.#......####.#..##.######.#...#...#..#.#....##..##.#........#.###..##.##.#..##...#..#.###..###.#.#..#####.........##.##.###.####..#.#......####.#..##.######.#...#...#..#.#....##..##.#........#.###..##.##.#..##...#..#.###..###.#.#..#####.........##.##.###.####..#.#......####.#..##.######.#...#...#..#.#....##..##.#........#.###..##.##.#..##...#..#.###..###.#.#..#####.........##.##.###.####..#.#......####.#..##.######.#...#...#..#.#....##..##.#
###.#........##.#..##.###.##.#..#...#....##..#..#..#..###..#####.#...##.....###.#..#.#..##...##..###.##....#.##.#.#..####.###.#....#...#######...####....##.#..#...####..##.##...#......##......#..######.####.######.......###..#..##..#.#..#.#...#.##.#.#.#####..#.#..####..##.#####.##.#...#..####.#.#.##....#####.#.#.##..###.##...#.###.#..#.#.####.#.#...#.#.###.#....#.##..##..#.##.#.#.#####..#.#..####..##.#####.##.#...#..####.#.#.##....#####.#.#.##..###.##...#.###.#..#.#.####.#.#...#.#.###.#....#.##..##..#.##.#.#.#####..#.#..####..##.#####.##.#...#..####.#.#.##....#####.#.#.##..###.##...#.###.#..#.#.####.#.#...#.#.###.#....#.##..##..#.##.#.#.#####..#.#..####..##.#####.##.#...#..####.#.#.##....#####.#.#.##..###.##...#.###.#..#.#.####.#.#...#.#.###.#....#.##..##..#.##.#.#.#####..#.#..####..##.#####.##.#...#..####.#.#.##....#####.#.#.##..###.##...#.###.#..#.#.####.#.#...#.#.###.#....#.##..##..#.##.#.#.#####..#.#..####..##.#####.##.#...#..####.#.#.##....#####.#.#.##..###.##...#.###.#..#.#.####.
.###..##..#..#.......###.####.###..#.##...######..#..##.......#.#.##.#...#.#.###...###.....##...###.###..#..###.#.#..#.###.#.###########..##..##.##...#.###..##.#..#.###.##........#..#.###..###..####.....#...#.###..###.##..#.#.#..#.##..#...###.......#####..#.###.#.#.##.##...###..####.#...#..#####.###.####.#..##...#.#...###.##..###.####.....#.##..#..#.###.##.###...#......#.......#####..#.###.#.#.##.##...###..####.#...#..#####.###.####.#..##...#.#...###.##..###.####.....#.##..#..#.###.##.###...#......#.......#####..#.###.#.#.##.##...###..####.#...#..#####.###.####.#..##...#.#...###.##..###.####.....#.##..#..#.###.##.###...#......#.......#####..#.###.#.#.##.##...###..####.#...#..#####.###.####.#..##...#.#...###.##..###.####.....#.##..#..#.###.##.###...#......#.......#####..#.###.#.#.##.##...###..####.#...#..#####.###.####.#..##...#.#...###.##..###.####.....#.##..#..#.###.##.###...#......#.......#####..#.###.#.#.##.##...###..####.#...#..#####.###.####.#..##...#.#...###.##..###.####.....#.##
.#....#.#.#......####..###.#.###.#.###..#....##.##.#.#####.#..#.#..#.#..##..##.#.#.##..##..####...##..#..###...##..###.#..##..#..#.##....#.#.#..#..#.###.##.##.#.##..#..#.......#.#.#.###.##.#..###.#.......#..###........##.###.#...#.##....##...##...##..#.#####.##.#########..#..#..##...#.#.#..#...#.#...####.##....#..#.#...#..###...#####.#..#..####.#######..#...#.####..#.##.##...##..#.#####.##.#########..#..#..##.#.#.#.#..#...#.#...####.##....#..#.#...#..###...#####.#..#..####.#######..#...#.####..#.##.##...##..#.#####.##.#########..#..#..##...#.#.#..#...#.#...####.##....#..#.#...#..###...#####.#..#..####.#######..#...#.####..#.##.##...##..#.#####.##.#########..#..#..##...#.#.#..#...#.#...####.##....#..#.#...#..###...#####.#..#..####.#######..#...#.####..#.##.##...##..#.#####.##.#########..#..#..##...#.#.#..#...#.#...####.##....#..#.#...#..###...#####.#..#..####.#######..#...#.####..#.##.##...##..#.#####.##.#########..#..#..##...#.#.#..#...#.#...####.##....#..#.#...#..###...#####.#..#..###
###..#...#..##...#.#...#....####....##.########....####....#.##.##.#.....###.#######..#..##.###.#.##..##.#..####.#.##.#.#...##.#.#.###..##..#.#.####.#...##...#.#.#.#.#.#.##..##.#...###.#.#..###.#.#..#.#..#..#.###.#######.#...#....#.##....##..##..........##..#.###.##..##...#....#.##...#........#....###..#...#..#.....#.#####.##.##.#.#.###.##...#...###..#.#.#..#...#.#.#.#..##..........##..#.###.##..##...#....#.##...#........#....###..#...#..#.....#.#####.##.##.#.#.###.##...#...###..#.#.#..#...#.#.#.#..##..........##..#.###.##..##...#....#.##...#........#....###..#...#..#.....#.#####.##.##.#.#.###.##...#...###..#.#.#..#...#.#.#.#..##..........##..#.###.##..##...#....#.##...#........#....###..#...#..#.....#.#####.##.##.#.#.###.##...#...###..#.#.#..#...#.#.#.#..##..........##..#.###.##..##...#....#.##...#........#....###..#...#..#.....#.#####.##.##.#.#.###.##...#...###..#.#.#..#...#.#.#.#..##..........##..#.###.##..##...#....#.##...#........#....###..#...#..#.....#.#####.##.##.#.#.###.##...#
##.#.#.###..#..#.##.#..#.#.##.##.##..###.#....##.##...##.###..##...##..###..###..###...#.#.#..####..####.###..#.#####.##.......###.###.#....#.#.####.#....#.###.##...#.#.#.#.....##.#...##...####...###.#...#.....##..###..#...#..####.###..#...##.#######..###.####....#..##.#.##..#.#....###.####...##.#..#.......#.#..###.#...##...##..###..#..#####...#..#.###..#...#..#.#...#..#.#######..###.####....#..##.#.##..#.#....###.####...##.#..#.......#.#..###.#...##...##..###..#..#####...#..#.###..#...#..#.#...#..#.#######..###.####....#..##.#.##..#.#....###.####...##.#..#.......#.#..###.#...##...##..###..#..#####...#..#.###..#...#..#.#...#..#.#######..###.####....#..##.#.##..#.#....###.####...##.#..#.......#.#..###.#...##...##..###..#..#####...#..#.###..#...#..#.#...#..#.#######..###.####....#..##.#.##..#.#....###.####...##.#..#.......#.#..###.#...##...##..###..#..#####...#..#.###..#...#..#.#...#..#.#######..###.####....#..##.#.##..#.#....###.####...##.#..#.......#.#..###.#...##...##..###..#..#####..
..#####...#.#.###...#.#..####.......#.##...#.###.....##.#...##.###..#.#...###.#..#....#..#.######...#...##..###..###.###..######.##.##...#...#..#...#..##.#.#.##..#......#.#.##.###...#....#..#####...#.##....########.....####..#..###.##..#.####.##...###..###.#....##.###.##...######.##.##..#..#.##.###..#...#.#.#.....##...#.##.####...#.#.##...###.#.#..#..##.#.##..##..#.#####.##...###..###.#....##.###.##...######.##.##..#..#.##.###..#...#.#.#.....##...#.##.####...#.#.##...###.#.#..#..##.#.##..##..#.#####.##...###..###.#....##.###.##...######.##.##..#..#.##.###..#...#.#.#.....##...#.##.####...#.#.##...###.#.#..#..##.#.##..##..#.#####.##...###..###.#....##.###.##...######.##.##..#..#.##.###..#...#.#.#.....##...#.##.####...#.#.##...###.#.#..#..##.#.##..##..#.#####.##...###..###.#....##.###.##...######.##.##..#..#.##.###..#...#.#.#.....##...#.##.####...#.#.##...###.#.#..#..##.#.##..##..#.#####.##...###..###.#....##.###.##...######.##.##..#..#.##.###..#...#.#.#.....##...#.##.####...#.#.##...###.
##.##....##....#..#.####..#.#.#.#..#..##.#####..#...#....#......#....#####.#.#...##..#..#.#.#..#.#.##..##..###.###..#.#.#....#..#...#.#..##....###.##.#..######.#.#...##..#.#.#.......#.###......#.#..#.#...#..###..##..#..#..#.##..###..##.##..##.#.#..#.##..#.##.####.#.########.#.#..##..##.#.##.##..##.#..#...#....#.#.###..##..##.#####..###..####...#..##.##...#.#####.......##.#.#..#.##..#.##.####.#.########.#.#..##..##.#.##.##..##.#..#...#....#.#.###..##..##.#####..###..####...#..##.##...#.#####.......##.#.#..#.##..#.##.####.#.########.#.#..##..##.#.##.##..##.#..#...#....#.#.###..##..##.#####..###..####...#..##.##...#.#####.......##.#.#..#.##..#.##.####.#.########.#.#..##..##.#.##.##..##.#..#...#....#.#.###..##..##.#####..###..####...#..##.##...#.#####.......##.#.#..#.##..#.##.####.#.########.#.#..##..##.#.##.##..##.#..#...#....#.#.###..##..##.#####..###..####...#..##.##...#.#####.......##.#.#..#.##..#.##.####.#.########.#.#..##..##.#.##.##..##.#..#...#....#.#.###..##..##.#####..###..####..
.#.###.##.....#.#.#...#..#.#.##.#.##.....##.#.#..#..##...#########.#...#..##.###..###.#.#####...#...##.##.#..#.###...#.######.#...####..#....#..#..#...#..##.#..#..#..#.#...##..##.#.#...#.##.#..#.##.#....##.#.##.#..###.#.#...#..#.#.#.##.#.##...#.##.#.#####..##.#.##......#....##.#.#...##..##.#...##..##.#..#..##...##..##...##.#.###.#.###.##.##..##.#.##.#.#.#..##..#.....###..#.##.#.#####..##.#.##......#....##.#.#...##..##.#...##..##.#..#..##...##..##...##.#.###.#.###.##.##..##.#.##.#.#.#..##..#.....###..#.##.#.#####..##.#.##......#....##.#.#...##..##.#...##..##.#..#..##...##..##...##.#.###.#.###.##.##..##.#.##.#.#.#..##..#.....###..#.##.#.#####..##.#.##......#....####.#...##..##.#...##..##.#..#..##...##..##...##.#.###.#.###.##.##..##.#.##.#.#.#..##..#.....###..#.##.#.#####..##.#.##......#....##.#.#...##..##.#...##..##.#..#..##...##..##...##.#.###.#.###.##.##..##.#.##.#.#.#..##..#.....###..#.##.#.#####..##.#.##......#....##.#.#...##..##.#...##..##.#..#..##...##..##...##.#.###.#.###.##.##..#
##..#.####....#..####....#..#.####...#..#.#..##..........#..###.#.#.##..###..#####..##....#....#..#...##..#.####...#######.#.##...##....#..#.#..##.#.##.#.#...#..#.##..###.#.######.#.#.###...#.##.#...#..#.##.##.#...##.#.#..##.#.....##..###..####..##.#.....###..#.###...#...##.####.#.##.#.#.#.###...##.######.###.######.#.##.#...#........#.###.#..######....##.#.#####..#....###..##.#.....###..#.###...#...##.####.#.##.#.#.#.###...##.######.###.######.#.##.#...#........#.###.#..######....##.#.#####..#....###..##.#.....###..#.###...#...##.####.#.##.#.#.#.###...##.######.###.######.#.##.#...#........#.###.#..######....##.#.#####..#....###..##.#.....###..#.###...#...##.####.#.##.#.#.#.###...##.######.###.######.#.##.#...#........#.###.#..######....##.#.#####..#....###..##.#.....###..#.###...#...##.####.#.##.#.#.#.###...##.######.###.######.#.##.#...#........#.###.#..######....##.#.#####..#....###..##.#.....###..#.###...#...##.####.#.##.#.#.#.###...##.######.###.######.#.##.#...#........#.###.#..
..##.##.##...######.#....##..#..#.#..##....#.##..#.####.#..###....#######.###.#.##..#####...#...#.####.###....##...#.#..##.##...#...#######.#...#.....#.####.######....##..#....##.#..####..#.#..##.#..#...##.#.###.#.#...#...####.##.##..##..##.##.#.##.###......###.###.###..#.#.#.##......#.####..#..#......#....#.......#....#####.#..#....#..#.###.#.#...####.#....##.##..#######.#.##.###......###.###.###..#.#.#.##......#.####..#..#......#....#.......#....#####.#..#....#..#.###.#.#...####.#....##.##..#######.#.##.###......###.###.###..#.#.#.##......#.####..#..#......#....#.......#....#####.#..#....#..#.###.#.#...####.#....##.##..#######.#.##.###......###.###.###..#.#.#.##......#.####..#..#......#....#.......#....#####.#..#....#..#.###.#.#...####.#....##.##..#######.#.##.###......###.###.###..#.#.#.##......#.####..#..#......#....#.......#....#####.#..#....#..#.###.#.#...####.#....##.##..#######.#.##.###......###.###.###..#.#.#.##......#.####..#..#......#....#.......#....#####.#..#....#..#.###.#
...#.##.#.#.##.#######.##..##....#.#.###.#.####.##....##.#.#.#.#######.....##....##.#..#.##..#.#.....#...#....#.....#..#.#..#....#.##.##...##...#...#....##..##.###.##..#.#.######..##..####.#.##.##..#.###..#.########..#..##.#####...#..##...###.########..####.#.##.###.....#..###..#.##.#####..#......#.....##.#..#..#.#..#..####.#.#...#..#..#.#####..#..#..#..#.##....##.#....#.########..####.#.##.###.....#..###..#.##.#####..#......#.....##.#..#..#.#..#..####.#.#...#..#..#.#####..#..#..#..#.##....##.#....#.########..####.#.##.###.....#..###..#.##.#####..#......#.....##.#..#..#.#..#..####.#.#...#..#..#.#####..#..#..#..#.##....##.#....#.########..####.#.##.###.....#..###..#.##.#####..#......#.....##.#..#..#.#..#..####.#.#...#..#..#.#####..#..#..#..#.##....##.#....#.########..####.#.##.###.....#..###..#.##.#####..#......#.....##.#..#..#.#..#..####.#.#...#..#..#.#####..#..#..#..#.##....##.#....#.########..####.#.##.###.....#..###..#.##.#####..#......#.....##.#..#..#.#..#..####.#.#...#..#..#.#####
#.###....#.#..#.########.#....#.##.##...###.#...###.#..#..#.#.##...##..#.#..#.........###.#....#.##.....#####.##.......###......#...#.###....#.#....###.########.##...##.##.#....##......#..#......###...####.##.#..###.....#.#..####...###..##.#...##...#......####...#....##..#..#..##...#.##..#.#..#..#.##.#.#.####...#..##.#..#.#.#..#.#...#...#.#.#.#.#...#..###.#...#.##.#####...##...#......####...#....##..#..#..##...#.##..#.#..#..#.##.#.#.####...#..##.#..#.#.#..#.#...#...#.#.#.#.#...#..###.#...#.##.#####...##...#......####...#....##..#..#..##...#.##..#.#..#..#.##.#.#.####...#..##.#..#.#.#..#.#...#...#.#.#.#.#...#..###.#...#.##.#####...##...#......####...#....##..#..#..##...#.##..#.#..#..#.##.#.#.####...#..##.#..#.#.#..#.#...#...#.#.#.#.#...#..###.#...#.##.#####...##...#......####...#....##..#..#..##...#.##..#.#..#..#.##.#.#.####...#..##.#..#.#.#..#.#...#...#.#.#.#.#...#..###.#...#.##.#####...##...#......####...#....##..#..#..##...#.##..#.#..#..#.##.#.#.####...#..##.#..#.#.#..#.#...#...#.#.#.
#.##....#.#.....#..#######..##.######.##.#.#.#..###..#..#....##.##...#.####.#####.........#..##.###.#...#.#####..#...#####.#...#..##..##.##.##.##.#.#.##..#.#..#..#...#..##...#.#.#....##...#.######.####....##.#...#...##.##.###.#..###..####.##.###..##.##.###.....####...#......##.#.##.#.#..##..####.###.###.#.##.###..##.#..#..#.##.#.##.....###.#..##..##..#######.####.##..##.###..##.##.###.....####...#......##.#.##.#.#..##..####.###.###.#.##.###..##.#..#..#.##.#.##.....###.#..##..##..#######.####.##..##.###..##.##.###.....####...#......##.#.##.#.#..##..####.###.###.#.##.###..##.#..#..#.##.#.##.....###.#..##..##..#######.####.##..##.###..##.##.###.....####...#......##.#.##.#.#..##..####.###.###.#.##.###..##.#..#..#.##.#.##.....###.#..##..##..#######.####.##..##.###..##.##.###.....####...#......##.#.##.#.#..##..####.###.###.#.##.###..##.#..#..#.##.#.##.....###.#..##..##..#######.####.##..##.###..##.##.###.....####...#......##.#.##.#.#..##..####.###.###.#.##.###..##.#..#..#.##.#.##.....###.#..
.#.##.#..###..#.#.####.##...#..####..##.##.#..##.##.####.......#...#..#..#.###.###.#....####..##.####.#.###..##.#.##..####....#.##...#..####...#.###.#....#...##.#.#.#...##.######.##..#....##.###.#.####.#####.##..##.#...#.#.#...#.#..#...#...#####.#.#####.#.##...###.#.#..#.#..#..#..#..###.######....##.#.##.###....#.###.#.#.###...#.#..##.####....##.#....##.##....#..##..#.#####.#.#####.#.##...###.#.#..#.#..#..#..#..###.######....##.#.##.###....#.###.#.#.###...#.#..##.####....##.#....##.##....#..##..#.#####.#.#####.#.##...###.#.#..#.#..#..#..#..###.######....##.#.##.###....#.###.#.#.###...#.#..##.####....##.#....##.##....#..##..#.#####.#.#####.#.##...###.#.#..#.#..#..#..#..###.######....##.#.##.###....#.###.#.#.###...#.#..##.####....##.#....##.##....#..##..#.#####.#.#####.#.##...###.#.#..#.#..#..#..#..###.######....##.#.##.###....#.###.#.#.###...#.#..##.####....##.#....##.##....#..##..#.#####.#.#####.#.##...###.#.#..#.#..#..#..#..###.######....##.#.##.###....#.###.#.#.###...#.#..##.####....
.#.##..##.#..#.#.#..#......##.##.#.#.###.###...#..#..#.#..##...#....#.##..#...##..##.##.##..#.#.#......#.##...#..###...#...#####......#.##.##.....#....#....#.####.##...#..###.#.#......#..#..###...#.####.#.#..###..######.####..#.....#..##....##...###..##.##.#.#....####.#..#..........###..##.###.#...###...#..##.#.####...##...###.##....#...###.###...#.##..#.##.#.#..##.#.####...###..##.##.#.#....####.#..#..........###..##.###.#...###...#..##.#.####...##...###.##....#...###.###...#.##..#.##.#.#..##.#.####...###..##.##.#.#....####.#..#..........###..##.###.#...###...#..##.#.####...##...###.##....#...###.###...#.##..#.##.#.#..##.#.####...###..##.##.#.#....####.#..#..........###..##.###.#...###...#..##.#.####...##...###.##....#...###.###...#.##..#.##.#.#..##.#.####...###..##.##.#.#....####.#..#..........###..##.###.#...###...#..##.#.####...##...###.##....#...###.###...#.##..#.##.#.#..##.#.####...###..##.##.#.#....####.#..#..........###..##.###.#...###...#..##.#.####...##...###.##....#...###.##
...##.#..#.#...##..####..#..##.#..#.###.#..####..#.####.##.###...###.###.#...#...#.#.##.##...#...###.#.##.##..#....##.##..#...##.#.#.###...##....#.#.#.#.##.##...###.##.#....#..##..#.##.#..#.#.#.##...#..#...##.####..##.##.#.....#.#.#...#.#.#.##.......###..#....#.##.####.##..##...####.####..#.##..#.#.##.#.#.###..#...####...#..#...#..###.###.#####..#..#.##.....##.#.#..#...##.......###..#....#.##.####.##..##...####.####..#.##..#.#.##.#.#.###..#...####...#..#...#..###.###.#####..#..#.##.....##.#.#..#...##.......###..#....#.##.####.##..##...####.####..#.##..#.#.##.#.#.###..#...####...#..#...#..###.###.#####..#..#.##.....##.#.#..#...##.......###..#....#.##.####.##..##...####.####..#.##..#.#.##.#.#.###..#...####...#..#...#..###.###.#####..#..#.##.....##.#.#..#...##.......###..#....#.##.####.##..##...####.####..#.##..#.#.##.#.#.###..#...####...#..#...#..###.###.#####..#..#.##.....##.#.#..#...##.......###..#....#.##.####.##..##...####.####..#.##..#.#.##.#.#.###..#...####...#..#...#..###.###.####
..##.#####.##....#...#.....#.##.#.##.####...#.##..#......##.#######...#....#.#..##..#...#.#....#..####.###..#.#..##...###.#####.#######....#.#...#..##.###...####.###.#.##....#.##..#...###....#.##.#.#.#.#.#.##...##..#.##....#..#.####.#.#####.#.....#..#.#......#...#.##....#..#....#.#...#.#.##......#..#..##.##..#....##..#..#.####.......##..###.#...#..##.##..##...#.####....#.....#..#.#......#...#.##....#..#....#.#...#.#.##......#..#..##.##..#....##..#..#.####.......##..###.#...#..##.##..##...#.####....#.....#..#.#......#...#.##....#..#....#.#...#.#.##......#..#..##.##..#....##..#..#.####.......##..###.#...#..##.##..##...#.####....#.....#..#.#......#...#.##....#..#....#.#...#.#.##......#..#..##.##..#....##..#..#.####.......##..###.#...#..##.##..##...#.####....#.....#..#.#......#...#.##....#..#....#.#...#.#.##......#..#..##.##..#....##..#..#.####.......##..###.#...#..##.##..##...#.####....#.....#..#.#......#...#.##....#..#....#.#...#.#.##......#..#..##.##..#....##..#..#.####.......##..###.#.
....#.#.#.#..#....#..#.#...#..####.######.#.####..#..#..##........#.#..#.#......##.#####.###.##.#.#.#.#.####.####..#.##..####.##.##.#.##.#..#....######..#..#.......#.##.####.###..###.#..##.#..##.#.......###.#....##.....###..#.#.##....#.###.###.....#####.#......###..##.#..#.#.##.##.#..#...##.#.#..#....#.#.#.#..#..#....###.##.#.##.####..##.#..##...#.#.#.#....##..#...#..#.##.....#####.#......###..##.#..#.#.##.##.#..#...##.#.#..#....#.#.#.#..#..#....###.##.#.##.####..##.#..##...#.#.#.#....##..#...#..#.##.....#####.#......###..##.#..#.#.##.##.#..#...##.#.#..#....#.#.#.#..#..#....###.##.#.##.####..##.#..##...#.#.#.#....##..#...#..#.##.....#####.#......###..##.#..#.#.##.##.#..#...##.#.#..#....#.#.#.#..#..#....###.##.#.##.####..##.#..##...#.#.#.#....##..#...#..#.##.....#####.#......###..##.#..#.#.##.##.#..#...##.#.#..#....#.#.#.#..#..#....###.##.#.##.####..##.#..##...#.#.#.#....##..#...#..#.##.....#####.#......###..##.#..#.#.##.##.#..#...##.#.#..#....#.#.#.#..#..#....###.##.#.##.####..##.#..##
.##..#...#....##.#..#..#####..###.#####....#......#.#...#.#...#.#..###.#..#.##..#####.###.###..##.#..#.####.#..#..##....##.##.........##...#.####.####.#....#..#.#.###.#....##.#...###............#..###.##.#..###...........#...#.##.#...##.#..##..#.#..####.....###...##..#####....##...#....##.###.###..#....##.##.....##......##....#.#.##.##.###..#####...###...#.##..#..#######..#.#..####.....###...##..#####....##...#....##.###.###..#....##.##.....##......##....#.#.##.##.###..#####...###...#.##..#..#######..#.#..####.....###...##..#####....##...#....##.###.###..#....##.##.....##......##....#.#.##.##.###..#####...###...#.##..#..#######..#.#..####.....###...##..#####....##...#....##.###.###..#....##.##.....##......##....#.#.##.##.###..#####...###...#.##..#..#######..#.#..####.....###...##..#####....##...#....##.###.###..#....##.##.....##......##....#.#.##.##.###..#####...###...#.##..#..#######..#.#..####.....###...##..#####....##...#....##.###.###..#....##.##.....##......##....#.#.##.##.###..##
..#..#.#.###.###.#####.#.##.#..####.##.#.####...#####.##.####..#..#.#....###.#.##.#.#.###..#..##..#...###....#..#.####..#..#..#.#.#...##.##.##..##.#####..#####.#..####.#####.#.##.###.####...#...#.##..###..####.##.....#.#.#..###..####.####...#.#.##...###.####.......#.##.#.....##..#.####.###..###....###.#.#.##..#......##.###.#######..#..#.#......#####.#.##.######...#.##.##.#.##...###.####.......#.##.#.....##..#.####.###..###....###.#.#.##..#......##.###.#######..#..#.#......#####.#.##.######...#.##.##.#.##...###.####.......#.##.#.....##..#.####.###..###....###.#.#.##..#......##.###.#######..#..#.#......#####.#.##.######...#.##.##.#.##...###.####.......#.##.#.....##..#.####.###..###....###.#.#.##..#......##.###.#######..#..#.#......#####.#.##.######...#.##.##.#.##...###.####.......#.##.#.....##..#.####.###..###....###.#.#.##..#......##.###.#######..#..#.#......#####.#.##.######...#.##.##.#.##...###.####.......#.##.#.....##..#.####.###..###....###.#.#.##..#......##.###.#######..#..#.#.....
##..#..###.##.###...#....#.##...#.#.#...#.###.##.###.########..#.##...#.#.#..#.###.#.#.#....#.##..##......#..#.#####..###..#....##...##.##.#.##....#.####.#....#..###...##..#.#...#..#..#.#######...##...#..#....####.#.##.####..#.###.###.##.##.#..###..##..#...##.#.#.#####.##....#.#.#...#.....##..####.##.##..###.##.####....#####...###.#####.#####..#..#......#.....#...###...#..###..##..#...##.#.#.#####.##....#.#.#...#.....##..####.##.##..###.##.####....#####...###.#####.#####..#..#......#.....#...###...#..###..##..#...##.#.#.#####.##....#.#.#...#.....##..####.##.##..###.##.####....#####...###.#####.#####..#..#......#.....#...###...#..###..##..#...##.#.#.#####.##....#.#.#...#.....##..####.##.##..###.##.####....#####...###.#####.#####..#..#......#.....#...###...#..###..##..#...##.#.#.#####.##....#.#.#...#.....##..####.##.##..###.##.####....#####...###.#####.#####..#..#......#.....#...###...#..###..##..#...##.#.#.#####.##....#.#.#...#.....##..####.##.##..###.##.####....#####...###.#####.#####.
#....#.####.###....#.#.##..##.###..#..#..##.#####....##..#...#####..##....#.##########.#.###..#..###.###....#...#....#....##......#.#.##.##.#....#.#..#######..#.##..##########..##.#.####..#..#####..##.##.....#.#..##.#..##..#.....#....####...#.....#.##..##########.##....##...##..####.#..#.......#.##..#.####...##....##..#...#.##.####...##..#####.#.#####..#######..##.##...#.....#.##..##########.##....##...##..####.#..#.......#.##..#.####...##....##..#...#.##.####...##..#####.#.#####..#######..##.##...#.....#.##..##########.##....##...##..####.#..#.......#.##..#.####...##....##..#...#.##.####...##..#####.#.#####..#######..##.##...#.....#.##..##########.##....##...##..####.#..#.......#.##..#.####...##....##..#...#.##.####...##..#####.#.#####..#######..##.##...#.....#.##..##########.##....##...##..####.#..#.......#.##..#.####...##....##..#...#.##.####...##..#####.#.#####..#######..##.##...#.....#.##..##########.##....##...##..####.#..#.......#.##..#.####...##....##..#...#.##.####...##..#####
.########.##...##.#.##.##.##.###..##.###...#........##..##.#..#...###.#...#.##.#..####.#.#..#####..##.#.###.#..#.#.##.##...#####..#..#..#..##.#...#.#########..##.#..##.##.#..####...#..#..###.......#.##.#.#.#.#...#.##.####...#.#..#..####.#####..###.##.#.###.#..##.#.##.....#.##.####.#....####.#.##.##.#.##.#.#..###.#..##...##.#.......#..#.#.#..#........#...#...##...##.###.#..###.##.#.###.#..##.#.##.....#.##.####.#....####.#.##.##.#.##.#.#..###.#..##...##.#.......#..#.#.#..#........#...#...##...##.###.#..###.##.#.###.#..##.#.##.....#.##.####.#....####.#.##.##.#.##.#.#..###.#..##...##.#.......#..#.#.#..#........#...#...##...##.###.#..###.##.#.###.#..##.#.##.....#.##.####.#....####.#.##.##.#.##.#.#..###.#..##...##.#.......#..#.#.#..#........#...#...##...##.###.#..###.##.#.###.#..##.#.##.....#.##.####.#....####.#.##.##.#.##.#.#..###.#..##...##.#.......#..#.#.#..#........#...#...##...##.###.#..###.##.#.###.#..##.#.##.....#.##.####.#....####.#.##.##.#.##.#.#..###.#..##...##.#.......#..#.#.#..#.
..#.##.###.##...##..#####.#.#.#....#.....###.###.##..##.#..##..#..#.#..#.#.####..##.#.#...#.#......##.....#.#####.#.#....#...#.#....##..#..#.##.#.##...##.....#######.######...#.##..#.....#.....#.#.#.#.....#.....##..####..#...#.#.##...........##..#.....#.##.##....#.##.#.##.#..########.###...#.####..###.#.#..##.##..#.........#...#.#.###.##...........#.#.......#.##.###...#.##..#.....#.##.##....#.##.#.##.#..########.###...#.####..###.#.#..##.##..#.........#...#.#####.##...........#.#.......#.##.###...#.##..#.....#.##.##....#.##.#.##.#..########.###...#.####..###.#.#..##.##..#.........#...#.#.###.##...........#.#.......#.##.###...#.##..#.....#.##.##....#.##.#.##.#..########.###...#.####..###.#.#..##.##..#.........#...#.#.###.##...........#.#.......#.##.###...#.##..#.....#.##.##....#.##.#.##.#..########.###...#.####..###.#.#..##.##..#.........#...#.#.###.##...........#.#.......#.##.###...#.##..#.....#.##.##....#.##.#.##.#..########.###...#.####..###.#.#..##.##..#.........#...#.#.###.##......
.######.##..######.........####.####....######.#..###.##.#.......####.#.#####.#..#####.#...#...##.#..#....#.#.....###...#.##..######...#..#.#..#....#.##.........#.#.#.####..#.##.#..#.##...####..#.#.......##.##..##.##.######.#.##.##..##..#..#.#..##.#..##.#....#.#...##..#..#.....######.#....#..#####.##.#.##...#..#.####.###.....##.#....#.###..#..#.##.######.##.#.##..#####..#..##.#..##.#....#.#...##..#..#.....######.#....#..#####.##.#.##...#..#.####.###.....##.#....#.###..#..#.##.######.##.#.##..#####..#..##.#..##.#....#.#...##..#..#.....######.#....#..#####.##.#.##...#..#.####.###.....##.#....#.###..#..#.##.######.##.#.##..#####..#..##.#..##.#....#.#...##..#..#.....######.#....#..#####.##.#.##...#..#.####.###.....##.#....#.###..#..#.##.######.##.#.##..#####..#..##.#..##.#....#.#...##..#..#.....######.#....#..#####.##.#.##...#..#.####.###.....##.#....#.###..#..#.##.######.##.#.##..#####..#..##.#..##.#....#.#...##..#..#.....######.#....#..#####.##.#.##...#..#.####.###.....##.#....#.###..#..
###.######.###..#..####....##...#...##.###..#.#..##..#####.....###.##.####.#...##...##.##..##..##..#...###.###...##.....##.#..#.##.##...#.#.##.........###..#.#..#####.###....#.....####.#######..#.######.#.##.#..#####..##.###.##..#####.##..##..#.###.###..#..#.##...##..#.####..#.#..#######..#.##....#####...###..##..#.###.#.#######..##.##.########.##.##....#.#.#...#####..#..#.###.###..#..#.##...##..#.####..#.#..#######..#.##....#####...###..##..#.###.#.#######..##.##.########.##.##....#.#.#...#####..#..#.###.###..#..#.##...##..#.####..#.#..#######..#.##....#####...###..##..#.###.#.#######..##.##.########.##.##....#.#.#...#####..#..#.###.###..#..#.##...##..#.####..#.#..#######..#.##....#####...###..##..#.###.#.#######..##.##.########.##.##....#.#.#...#####..#..#.###.###..#..#.##...##..#.####..#.#..#######..#.##....#####...###..##..#.###.#.#######..##.##.########.##.##....#.#.#...#####..#..#.###.###..#..#.##...##..#.####..#.#..#######..#.##....#####...###..##..#.###.#.#######..##.##.#######
...##..#..######.#.##.#...###..####.#..#.#.##..##..#...#.#.###.#.#####.##.#....##...#.#..##.##..#...##.#########..#.###.##..#.##.##..########.#.###.##..#.#...#...##.###..######.#.####..##.##..####.#.#.....#..#.##.#..#.#...#..##.#.##.....#.#..####..#..#.##......#....####..#..#..#.########.###.#..##.####...#.##...####..##.##....#..###....#..#...#....##...#.#..##.#.##....#.####..#..#.##......#....####..#..#..#.########.###.#..##.####...#.##...####..##.##....#..###....#..#...#....##...#.#..##.#.##....#.####..#..#.##......#....####..#..#..#.########.###.#..##.####...#.##...####..##.##....#..###....#..#...#....##...#.#..##.#.##....#.####..#..#.##......#....####..#..#..#.########.###.#..##.####...#.##...####..##.##....#..###....#..#...#....##...#.#..##.####....#.####..#..#.##......#....####..#..#..#.########.###.#..##.####...#.##...####..##.##....#..###....#..#...#....##...#.#..##.#.##....#.####..#..#.##......#....####..#..#..#.########.###.#..##.####...#.##...####..##.##....#..###....#..#...
#..###.#.##...####..#..#..#....####..#.#.#..#.....##.#.#.##..#...###..##.#..#...##....#####.###..##.#.####.#.#..#..#...#.#.###..###.#####.#####..##.#...#.##..##..##..#......###.##.....##.##.#..#...###.##..#.######.###.#....#.#...........#.#...#..#..##...###....#.##...#.##.#...#.#..#.......###.#######...######..#.....#...#.#.#...#.#..###.###.#..####..#...##.###..#...#.#...#..#..##...###....#.##...#.##.#...#.#..#.......###.#######...######..#.....#...#.#.#...#.#..###.###.#..####..#...##.###..#...#.#...#..#..##...###....#.##...#.##.#...#.#..#.......###.#######...######..#.....#...#.#.#...#.#..###.###.#..####..#...##.###..#...#.#...#..#..##...###....#.##...#.##.#...#.#..#.......###.#######...######..#.....#...#.#.#...#.#..###.###.#..####..#...##.###..#...#.#...#..#..##...###....#.##...#.##.#...#.#..#.......###.#######...######..#.....#...#.#.#...#.##.###.###.#..####..#...##.###..#...#.#...#..#..##...###....#.##...#.##.#...#.#..#.......###.#######...######..#.....#...#.#.#...#.#..###.###.#.
...#....#...##.###.#.##.###.....#####..##.#....#...#####.####.##.##.##...####.....#........######.#.##.#......##...#..#....###.#..#.##.#####.#.#####.###..#.##.#.#.#.##.##..##.##.##...##..#..##..#.#.##....#..##.########..###..###.##.#.####.####.#..#........###.....#..#..##.##..##..###.....#..###..#####.#.#......#..#..###....#..###.##.....#..##.##.#######.##...#...#....#.##.#..#........###.....#..#..##.##..##..###.....#..###..#####.#.#......#..#..###....#..###.##.....#..##.##.#######.##...#...#....#.##.#..#........###.....#..#..##.##..##..###.....#..###..#####.#.#......#..#..###....#..###.##.....#..##.##.#######.##...#...#....#.##.#..#........###.....#..#..##.##..##..###.....#..###..#####.#.#......#..#..###....#..###.##.....#..##.##.#######.###..#...#....#.##.#..#........###.....#..#..##.##..##..###.....#..###..#####.#.#......#..#..###....#..###.##.....#..##.##.#######.##...#...#....#.##.#..#........###.....#..#..##.##..##..###.....#..###..#####.#.#......#..#..###....#..###.##.....#..##.
#...##.###.####.#..##.##.###.....#.#..#.###...##.#...##.##.#.#.####..##.##.####..#.#.####.......#.#.#.#..###.#..#.#.##...####.##...#.#####.##.##.#.....##...#######...#..##...#..#..##..##..#.......####.##########..###..#.#..##......#..###..#..##.###....###...######..##.#..#..#...#...##..#.#..#####.##..#.###...###.#....###...#.##.##.#.#......#####.###.##..#.#..####.###.##.##.###....###...######..##.#..#..#...#...##..#.#..#####.##..#.###...###.#....###...#.##.##.#.#......#####.###.##..#.#..####.###.##.##.###....###...######..##.#..#..#...#...##..#.#..#####.##..#.###...###.#....###...#.##.##.#.#......#####.###.##..#.#..####.###.##.##.###....###...######..##.#..#..#...#...##..#.#..#####.##..#.###...###.#....###...#.##.##.#.#......#####.###.##..#.#..####.###.##.##.###....###...######..##.#..#..#...#...##..#.#..#####.##..#.###...###.#....###...#.##.##.#.#......#####.###.##..#.#..####.###.##.##.###....###...######..##.#..#..#...#...##..#.#..#####.##..#.###...###.#....###...#.##.##.#.#......###
..##.#.#.#.#..####.#####.#####.#.##.#.#######.##..#.#####.###.#..#.#..#.#..##..#..#...#.#..#.....#..#.###.##..#...#..###.####.#..#.....#..###.#.#.##..##..###.#..##.##.....####.#.#..########.....###########.##.#..##.##.#..#.#..##...##########....#.#...#..#..####.#......#.#....#...#..#.#...#...##.#.#....##.#.##.####.#######.####.........#.#..###.##.#...##.##..#.#.#...#.#.....#.#...#..#..####.#......#.#....#...#..#.#...#...##.#.#....##.#.##.####.#######.####.........#.#..###.##.#...##.##..#.#.#...#.#.....#.#...#..#..####.#......#.#....#...#..#.#...#...##.#.#....##.#.##.####.#######.####.........#.#..###.##.#...##.##..#.#.#...#.#.....#.#...#..#..####.#......#.#....#...#..#.#...#...##.#.#....##.#.##.####.#######.####.........#.#..###.##.#...##.##..#.#.#...#.#.....#.#...#..#..####.#......#.#....#...#..#.#...#...##.#.#....##.#.##.####.#######.####.........#.#..###.##.#...##.##..#.#.#...#.#.....#.#...#..#..####.#......#.#....#...#..#.#...#...##.#.#....##.#.##.####.#######.####.........#.#..###
.#####.#.##..#..#.#.#..###.##........####......###.##..#..#...#..#.##.##.####.#.#...###.#####.##..#.####.#######.#####......#.#.#.##..###.###..#...###..#.##..####.#...##..########.##...##.#.###.#.##....##.##.....######.#..#...##.#.#..#...#.##..##..##.##..#.#..##.#####.#####.###.#..#..##.#.#...#.##..##..#######.##.###.#..###...#.#...###.##..#..#.#.#.....#..#..#......#.###..##..##.##..#.#..##.#####.#####.###.#..#..##.#.#...#.##..##..#######.##.###.#..###...#.#...###.##..#..#.#.#.....#..#..#......#.###..##..##.##..#.#..##.#####.#####.###.#..#..##.#.#...#.##..##..#######.##.###.#..###...#.#...###.##..#..#.#.#.....#..#..#......#.###..##..##.##..#.#..##.#####.#####.###.#..#..##.#.#...#.##..##..#######.##.###.#..###...#.#...###.##..#..#.#.#.....#..#..#......#.###..##..##.##..#.#..##.#####.#####.###.#..#..##.#.#...#.##..##..#######.##.###.#..###...#.#...###.##..#..#.#.#.....#..#..#......#.###..##..##.##..#.#..##.#####.#####.###.#..#..##.#.#...#.##..##..#######.##.###.#..###...#.#...###.##..#..
###..#...#.#..#.##.#.......####.#..######..###.########....#...##...##..###.#.##..#....##....####.#..##.#.######.....##.##...#.##.....#...#..###.####..##.##.#.#...###.#..#.#..#......#.#.#.#...#...##.###..#.....##...#.##...##...###.###..#.#.#.#..###..###.########..#.######.##.##.#####.#.####.###..#.##..#.#.........##.#..#...#..#####...#..#.#######.#.####..##....#.###.###.#..###..###.########..#.######.##.##.#####.#.####.###..#.##..#.#.........##.#..#...#..#####...#..#.#######.#.####..##....#.###.###.#..###..###.########..#.######.##.##.#####.#.####.###..#.##..#.#.........##.#..#...#..#####...#..#.#######.#.####..##....#.###.###.#..###..###.########..#.######.##.##.#####.#.####.###..#.##..#.#.........##.#..#...#..#####...#..#.#######.#.####..##....#.###.###.#..###..###.########..#.######.##.##.#####.#.####.###..#.##..#.#.........##.#..#...#..#####...#..#.#######.#.####..##....#.###.###.#..###..###.########..#.######.##.##.#####.#.####.###..#.##..#.#.........##.#..#...#..#####...#..#.####
..#..#..#######...##.#.#..#####..##...#.##..######.#.###.#..#.#...#.#...#.###...#.#...###.##.#.#.....#....#.##..#####....#####..#..#..###...#####..#...###...###...####.#.#.#..#..##.##...#.####.##.#.#.#...##.#..##.......###.###...#.#.###.#...#.#..#..#..#.###....#.#####.####.#####...#....#.#####..##....####.###.#..##..##.#.....##.#.....##.#.######.#..#..#..####.#..#####.##.#..#..#..#.###....#.#####.####.#####...#....#.#####..##....####.###.#..##..##.#.....##.#.....##.#.######.#..#..#..####.#..#####.##.#..#..#..#.###....#.#####.####.#####...#....#.#####..##....####.###.#..##..##.#.....##.#.....##.#.######.#..#..#..####.#..#####.##.#..#..#..#.###....#.#####.####.#####...#....#.#####..##....####.###.#..##..##.#.....##.#.....##.#.######.#..#..#..####.#..#####.##.#..#..#..#.###....#.#####.####.#####...#....#.#####..##....####.###.#..##..##.#.....##.#.....##.#.######.#..#..#..####.#..#####.##.#..#..#..#.###....#.#####.####.#####...#....#.#####..##....####.###.#..##..##.#.....##.#.....##.#.####
.......#.#.##.#....###..#.#######.##..##..#.#..#.#..#....######.##..##....#.......##...##...###.#.##..#.#.##.#####.#.......###.#....##..#.##...####.#.#.......##..######..###..#......#########.#.###.#..#.##.##...##....##.##.#####...#.##.###.#.#.....#....###..#...###.###.#.##.......#.#.###.#..#..#.#...####.##.#..#..##..#..#..###.##.##..#.####..#.##.#..#.......#.##.###.#...#.....#....###..#...###.###.#.##.......#.#.###.#..#..#.#...####.##.#..#..##..#..#..###.##.##..#.####..#.##.#..#.......#.##.###.#...#.....#....###..#...###.###.#.##.......#.#.###.#..#..#.#...####.##.#..#..##..#..#..###.##.##..#.####..#.##.#..#.......#.##.###.#...#.....#....###..#...###.###.#.##.......#.#.###.#..#..#.#...####.##.#..#..##..#..#..###.##.##..#.####..#.##.#..#.......#.##.###.#...#.....#....###..#...###.###.#.##.......#.#.###.#..#..#.#...####.##.#..#..##..#..#..###.##.##..#.####..#.##.#..#.......#.##.###.#...#.....#....###..#...###.###.#.##.......#.#.###.#..#..#.#...####.##.#..#..##..#..#..###.##.##..#.####..#
.#.####..#.....#..#.......###.#.#####.#..#.#...####.#...#..###.#..##....#.###.##..##..#####..#####.##..###.#.#.#.##.#.##.###.##.#...#####.###...#####.####....#...###.....##.#...##.#...##.#..##.#..#..#.###..####...#..##.#..###..###..##.#.###.#.#.#.####.####.##.#....#######.##..##.#.##.##.#.###.#.#.##.#.#..#.#..####.####.....#.####...###.##.#.#####.##..####.#.#.#.##.....##.#.#.####.####.##.#....#######.##..##.#.##.##.#.###.#.#.##.#.#..#.#..####.####.....#.####...###.##.#.#####.##..####.#.#.#.##.....##.#.#.####.####.##.#....#######.##..##.#.##.##.#.###.#.#.##.#.#..#.#..####.####.....#.####...###.##.#.#####.##..####.#.#.#.##.....##.#.#.####.####.##.#....#######.##..##.#.##.##.#.###.#.#.##.#.#..#.#..####.####.....#.####...###.##.#.#####.##..####.#.#.#.##.....##.#.#.####.####.##.#....#######.##..##.#.##.##.#.###.#.#.##.#.#..#.#..####.####.....#.####...###.##.#.#####.##..####.#.#.#.##.....##.#.#.####.####.##.#....#######.##..##.#.##.##.#.###.#.#.##.#.#..#.#..####.####.....#.####...###.##.#.##
..#..#....###.##..##..##.####....#.#.####.##..#.####.##.#.##.#.##..##..#.#..#...#.#...##..####..###..#..#....###.####.#.###.....#.##.##.#.#.#.##..###..#.##..#......##.#.#.###...##..#.####..#...#...#.###..####....#.#..#.#.........#..#....#####...##.#...#..#.#.#.##..##..###..###.##..##.##.###...##..#..#.#..#..##.#..###.#.#.#...####.####..#.#..#..#.#....#######..##...###..#...##.#...#..#.#.#.##..##..###..###.##..##.##.###...##..#..#.#..#..##.#..###.#.#.#...####.####..#.#..#..#.#....#######..##...###..#...##.#...#..#.#.#.##..##..###..###.##..##.##.###...##..#..#.#..#..##.#..###.#.#.#...####.####..#.#..#..#.#....#######..##...###..#...##.#...#..#.#.#.##..##..###..###.##..##.##.###...##..#..#.#..#..##.#..###.#.#.#...####.####..#.#..#..#.#....#######..##...###..#...##.#...#..#.#.#.##..##..###..###.##..##.##.###...##..#..#.#..#..##.#..###.#.#.#...####.####..#.#..#..#.#....#######..##...###..#...##.#...#..#.#.#.##..##..###..###.##..##.##.###...##..#..#.#..#..##.#..###.#.#.#...####.####..#.#..#.
..##..#.##...##..#.....#.#.###.....#.#.##.##...#.#..###...#.#.#.#.##.###.#..#.##..#.##..###.......#.##.#.##.#.#..##...##..#......#...#..#...######.#..##...#.#..#.....#.########..#.#.###.#..##...##...#...#####.##..#.##.##..#..##...#.##.#.######.##.###......##.#.....#.#.#.#.###.###....#....##..####..#.##...#......#...#.##.####.###.########.#.#...#.#####.##....#.#.###.######.##.###......##.#.....#.#.#.#.###.###....#....##..####..#.##...#......#...#.##.####.###.########.#.#...#.#####.##....#.#.###.######.##.###......##.#.....#.#.#.#.###.###....#....##..####..#.##...#......#...#.##.####.###.########.#.#...#.#####.##....#.#.###.######.##.###......##.#.....#.#.#.#.###.###....#....##..####..#.##...#......#...#.##.####.###.########.#.#...#.#####.##....#.#.###.######.##.###......##.#.....#.#.#.#.###.###....#....##..####..#.##...#......#...#.##.####.###.########.#.#...#.#####.##....#.#.###.######.##.###......##.#.....#.#.#.#.###.###....#....##..####..#.##...#......#...#.##.####.###.########.#.#..
#####....###.#####.##.#.#..#.##.#.#####.##....###..#.#.###..#####..#.#.##..#..#.###..#..#.###...#.##..#..#.##.#.#.#.#..##.##..#.###.#.......#...#####.#.###.####..#..#.#####......######.#..#..#.#..#####..#.#.#.#.#.....#######.###.###..####..#.#...#....######.##..#...#.....#####.#..###.....##..######...###....#..##.#.#.###...####.#..#...#...##........##.#.....#.#.##.#####.#...#....######.##..#...#.....#####.#..###.....##..######...###....#..##.#.#.###...####.#..#...#...##........##.#.....#.#.##.#####.#...#....######.##..#...#.....#####.#..###.....##..######...###....#..##.#.#.###...####.#..#...#...##........##.#.....#.#.##.#####.#...#....######.##..#...#.....#####.#..###.....##..######...###....#..##.#.#.###...####.#..#...#...##........##.#.....#.#.##.#####.#...#....######.##..#...#.....#####.#..###.....##..######...###....#..##.#.#.###...####.#..#...#...##........##.#.....#.#.##.#####.#...#....######.##..#...#.....#####.#..###.....##..######...###....#..##.#.#.###...####.#..#...#...##..
#.#.##.##...#....#..###.###........##...########..........#####.#.##.###.##.....##..##..#####...########..#####.#.####......###.##.....########....#..##.##.######.####..###..#######.#.###.#.####.#..#......###..#..#....##....#.#........#..#.##.#####....#.###.......##.#.####...##.#.##.#...#.....####..######..##.#.######..####..#...##..###...####..####..#..###....##.#.#####.#####....#.###.......##.#.####...##.#.##.#...#.....####..######..##.#.######..####..#...##..###...####..####..#..###....##.#.#####.#####....#.###.......##.#.####...##.#.##.#...#.....####..######..##.#.######..####..#...##..###...####..####..#..###....##.#.#####.#####....#.###.......##.#.####...##.#.##.#...#.....####..######..##.#.######..####..#...##..###...####..####..#..###....##.#.#####.#####....#.###.......##.#.####...##.#.##.#...#.....####..######..##.#.######..####..#...##..###...####..####..#..###....##.#.#####.#####....#.###.......##.#.####...##.#.##.#...#.....####..######..##.#.######..####..#...##..###...####
###.###.##.#..####.####..##.####..###.#.##.###...###.###.....#..#####..##..#..#.#.####.#.#.###.#.####.....#.##.#####.#.##...#.##.#...##.#...#.#.##.###.###########...##..#..#..##.###..##..#.####.#..###..##.#.....#.#...###.##.##.###.##.#.#.#.#.###....##..##.#.##...#####.##...##.###..#.##..#......#..#.###.#.#.##.....##.#.##..#..#.#.#..##..#......#..#.#.....##..##.##...#..#.###....##..##.#.##...#####.##...##.###..#.##..#......#..#.###.#.#.##...#.##.#.##..#..#.#.#..##..#......#..#.#.....##..##.##...#..#.###....##..##.#.##...#####.##...##.###..#.##..#......#..#.###.#.#.##.....##.#.##..#..#.#.#..##..#......#..#.#.....##..##.##...#..#.###....##..##.#.##...#####.##...##.###..#.##..#......#..#.###.#.#.##.....##.#.##..#..#.#.#..##..#......#..#.#.....##..##.##...#..#.###....##..##.#.##...#####.##...##.###..#.##..#......#..#.###.#.#.##.....##.#.##..#..#.#.#..##..#......#..#.#.....##..##.##...#..#.###....##..##.#.##...#####.##...##.###..#.##..#......#..#.###.#.#.##.....##.#.##..#..#.#.#..##..#......
#.....####.#..#######.###.##..##.#.#.##.#.####.##.##.#####.#..#...#.#..#####.##.#.#..##.#.##.#.###..#..####.###..#..#...#.#.#.##..#.##...#..#.##.#....##....#.####.#####.##..#.#..#.##.#...#..#.#.##..#.#.#.#.##.#...##..###...########.##..##.####.####.#..##...#.#.####..#.#.#.#######.#.#..#.##.#.#..#..####..#...####.####..#.#..##..##.#.###.##...##..##.#..###.###.#.#..#.##.###.####.#..##...#.#.####..#.#.#.#######.#.#..#.##.#.#..#..####..#...####.####..#.#..##..##.#.###.##...##..##.#..###.###.#.#..#.##.###.####.#..##...#.#.####..#.#.#.#######.#.#..#.##.#.#..#..####..#...####.####..#.#..##..##.#.###.##...##..##.#..###.###.#.#..#.##.###.####.#..##...#.#.####..#.#.#.#######.#.#..#.##.#.#..#..####..#...####.####..#.#..##..##.#.###.##...##..##.#..###.###.#.#..#.##.###.####.#..##...#.#.####..#.#.#.#######.#.#..#.##.#.#..#..####..#...####.####..#.#..##..##.#.###.##...##..##.#..###.###.#.#..#.##.###.####.#..##...#.#.####..#.#.#.#######.#.#..#.##.#.#..#..####..#...####.####..#.#..##..##.#.###.##...##
###..###.#####..#.#...#..###...#.##...######.#.#....######.#...##..#..#.#..####.###....##..##..#####...#.#.#.####.##..#.........####.###.....#.###...##...#...##.####.#.##.##.#..######..#...#.#.#.#.##.###.#..#..#..##.....##..#..#.###.##....#.##.##.#.#####......#...#..#...#.#..#.#..##.##.####......####.##..##.###.##..#.#.#..#...#.#.##...##.#.....#..#####.##.###.#.####.#.###.##.#.#####......#...#..#...#.#..#.#..##.##.####......####.##..##.###.##..#.#.#..#...#.#.##...##.#.....#..#####.##.###.#.####.#.###.##.#.#####......#...#..#...#.#..#.#..##.##.####......####.##..##.###.##..#.#.#..#...#.#.##...##.#.....#..#####.##.###.#.####.#.###.##.#.#####......#...#..#...#.#..#.#..##.##.####......####.##..##.###.##..#.#.#..#...#.#.##...##.#.....#..#####.##.###.#.####.#.###.##.#.#####......#...#..#...#.#..#.#..##.##.####......####.##..##.###.##..#.#.#..#...#.#.##...##.#.....#..#####.##.###.#.####.#.###.##.#.#####......#...#..#...#.#..#.#..##.##.####......####.##..##.###.##..#.#.#..#...#.#.##...##.#....
#....#..#..#.#.#.#...#..#.#.#.#####.#....#.#.######..##.###.#.#..#.#.........##...###....#..##.#..#...#....##...#############..###.######..##.#...#...#.#..#.###......#.####.##....##..###.###.#####.##.#.##...#.#.#.#.##..#.####....####....###.#..##....#..##....###.....#...##..#.###.#####.######.##....##....###########..#....#.##..###.##.##..##.#...###....####.#.....#...#.#..##....#..##....###.....#...##..#.###.#####.######.##....##....###########..#....#.##..###.##.##..##.#...###....####.#.....#...#.#..##....#..##....###.....#...##..#.###.#####.######.##....##....###########..#....#.##..###.##.##..##.#...###....####.#.....#...#.#..##....#..##....###.....#...##..#.###.#####.######.##....##....###########..#....#.##..###.##.##..##.#...###....####.#.....#...#.#..##....#..##....###.....#...##..#.###.#####.######.##....##....###########..#....#.##..###.##.##..##.#...###....####.#.....#...#.#..##....#..##....###.....#...##..#.###.#####.######.##....##....###########..#....#.##..###.##.##..##.#
#..#.##..#.#..#.#...######.#.#.#.#...###.##..####.#.....##..#..####...####..#..##...#.##.#.##.....#...###..##.####...#..#.#..#.###.#.#.####.##.#.##..#.##....####....####.##.##..##...#.#.#...####.###.#.##.###..##..#..#..###.....###.#..########.#.####..#...###.##..#.##..###.#..#.#.#.#.####.####...##..#..####..#.#.#.###..####.#..#.#...#####.#...#....##.####....####.#.##.#.#.#.####..#...###.##..#.##..###.#..#.#.#.#.####.####...##..#..####..#.#.#.###..####.#..#.#...#####.#...#....##.####....####.#.##.#.#.#.####..#...###.##..#.##..###.#..#.#.#.#.####.####...##..#..####..#.#.#.###..####.#..#.#...#####.#...#....##.####....####.#.##.#.#.#.####..#...###.##..#.##..###.#..#.#.#.#.####.####...##..#..####..#.#.#.###..####.#..#.#...#####.#...#....##.####....####.#.##.#.#.#.####..#...###.##..#.##..###.#..#.#.#.#.####.####...##..#..####..#.#.#.###..####.#..#.#...#####.#...#....##.####....####.#.##.#.#.#.####..#...###.##..#.##..###.#..#.#.#.#.####.####...##..#..####..#.#.#.###..####.#..#.#...#####.#...#
##....#.##.#.##...#...####.#.#...#..#.###.###....#..##.......###.....#..##.##..#.##..#..#...#...#.#..##..#.####...###.########.#.#.##....#.#..#..#..###...#..#####.#..##.#.##....###....#....#..#..#..##..##.......###.##.##.###...##.#...#.##.##..#.####.#....#.#..#...#..##..######.##.#.....#.##########.###..#...###..#...#..###.##..#.#....###.###.##..###....#..####.#...#.###..#.####.#....#.#..#...#..##..######.##.#.....#.##########.###..#...###..#...#..###.##..#.#....###.###.##..###....#..####.#...#.###..#.####.#....#.#..#...#..##..######.##.#.....#.##########.###..#...###..#...#..###.##..#.#....###.###.##..###....#..####.#...#.###..#.####.#....#.#..#...#..##..######.##.#.....#.##########.###..#...###..#...#..###.##..#.#....###.###.##..###....#..####.#...#.###..#.####.#....#.#..#...#..##..######.##.#.....#.##########.###..#...###..#...#..###.##..#.#....###.###.##..###....#..####.#...#.###..#.####.#....#.#..#...#..##..######.##.#.....#.##########.###..#...###..#...#..###.##..#.#....###.###.#
..##..####...#..#.#########.##..#.#..#......###......##...#.##...###...#..#..#####.....#...#.###.###...##...###.##..#.#.#.###....###.#..#####...#####....##.###......###...######.#.###..####.#..#....#....####..#.##..###..####..#.##...#......######.....#.#.#.##..#..##.#...#.##.#...##.#.#..###.#.####.####.##..#.###.#...#.#####.#.###...#.#.#.....##..##.##.#...#####.##..#########.....#.#.#.##..#..##.#...#.##.#...##.#.#..###.#.####.####.##..#.###.#...#.#####.#.###...#.#.#.....##..##.##.#...#####.##..#########.....#.#.#.##..#..##.#...#.##.#...##.#.#..###.#.####.####.##..#.###.#...#.#####.#.###...#.#.#.....##..##.##.#...#####.##..#########.....#.#.#.##..#..##.#...#.##.#...##.#.#..###.#.####.####.##..#.###.#...#.#####.#.###...#.#.#.....##..##.##.#...#####.##..#########.....#.#.#.##..#..##.#...#.##.#...##.#.#..###.#.####.####.##..#.###.#...#.#####.#.###...#.#.#.....##..##.##.#...#####.##..#########.....#.#.#.##..#..##.#...#.##.#...##.#.#..###.#.####.####.##..#.###.#...#.#####.#.###...#.#.#.....#
##.#...##.####.######.#.#..##.###..#..##.#.##..###....###..#..##........#....#.####.#####...###.##..#.##.#......###.##...#..#.##.#.#....#.###.###...#.#....##.#.##..#...##.##.###....##.#####.#...####...#.#..#.##.#.##.#.###.###.####...###..####..#.##.#.#.....##########.#..#.........###..#.###......#.#..###....#.###.##..##...###..#...#..##......#..#..#.##.....#..###...#.###..#.##.#.#.....##########.#..#.........###..#.###......#.#..###....#.###.##..##...###..#...#..##......#..#..#.##.....#..###...#.###..#.##.#.#.....##########.#..#.........###..#.###......#.#..###....#.###.##..##...###..#...#..##......#..#..#.##.....#..###...#.###..#.##.#.#.....##########.#..#.........###..#.###......#.#..###....#.###.##..##...###..#...#..##......#..#..#.##.....#..###...#.###..#.##.#.#.....##########.#..#.........###..#.###......#.#..###....#.###.##..##...###..#...#..##......#..#..#.##.....#..###...#.###..#.##.#.#.....##########.#..#.........###..#.###......#.#..###....#.###.##..##...###..#...#..##......#
.#.#...##.##..#.##.#.##.##.#..#.##.......#....##...#####...#.####.......#.#.#..#....######...#.....#..#.##...###...####.##.#.#####.##...##..###..####..#.#.#...#.##.##...#.#.####.##...######..#.#..#.....#...####.#.#.....#.##.#.##.#...#..#.##..##.##.###..###...##.#.#.#...#.###.##..#.......####.....####.##.#..###...###.#...###.#.##.#.#.##.#.###.#.##..###.#..######..####..#.##.##.###..###...##.#.#.#...#.###.##..#.......####.....####.##.#..###...###.#...###.#.##.#.#.##.#.###.#.##..###.#..######..####..#.##.##.###..###...##.#.#.#...#.###.##..#.......####.....####.##.#..###...###.#...###.#.##.#.#.##.#.###.#.##..###.#..######..####..#.##.##.###..###...####.#.#...#.###.##..#.......####.....####.##.#..###...###.#...###.#.##.#.#.##.#.###.#.##..###.#..######..####..#.##.##.###..###...##.#.#.#...#.###.##..#.......####.....####.##.#..###...###.#...###.#.##.#.#.##.#.###.#.##..###.#..######..####..#.##.##.###..###...##.#.#.#...#.###.##..#.......####.....####.##.#..###...###.#...###.#.##.#.#.##.#.###.#
..#..#.##...#..#########..##.#.##.......#.##..####..#..#.#..#####..#..######...###.###..##.#....#####.#..#.##..##.##.###.....##....#..#..#.#..#..####.####..##....#.##.#.##.###.###.##..##.###.#..##.##.##.##...##.###.#.##...##..#..##.#.##..##.#.###.##..###..#.###.###.##.#.#...###..##...#..#####.#.###...########...#.#.#..####..####.#####.##.....#..#..#.####.##.#....#.#.##.#.###.##..###..#.###.###.##.#.#...###..##...#..#####.#.###...########...#.#.#..####..####.#####.##.....#..#..#.####.##.#....#.#.##.#.###.##..###..#.###.###.##.#.#...###..##...#..#####.#.###...########...#.#.#..####..####.#####.##.....#..#..#.####.##.#....#.#.##.#.###.##..###..#.###.###.##.#.#...###..##...#..#####.#.###...########...#.#.#..####..####.#####.##.....#..#..#.####.##.#....#.#.##.#.###.##..###..#.###.###.##.#.#...###..##...#..#####.#.###...########...#.#.#..####..####.#####.##.....#..#..#.####.##.#....#.#.##.#.###.##..###..#.###.###.##.#.#...###..##...#..#####.#.###...########...#.#.#..####..####.#####.##.....#
#####.#...#.#.##.####.#.#......##..#.#.##....#.#..#.#.#.#.#..#..###..##..#.#...#..####.#....##.##..###.##..##.#.##.#.##...#..###.##.##...#..#.##...#.##########..####...#...#.#.####.#..#.......###.#.....###..#.....###....#..##....#.#.##.#.#######.#..###.####.#.#.#....##.####.##..#....##.#.#.......##.#.#..###...#.......#..###...####.#....#.####..##.#.#####.#..#........##.####.#..###.####.#.#.#....##.####.##..#....##.#.#.......##.#.#..###...#.......#..###...####.#....#.####..##.#.#####.#..#........##.####.#..###.####.#.#.#....##.####.##..#....##.#.#.......##.#.#..###...#.......#..###...####.#....#.####..##.#.#####.#..#........##.####.#..###.####.#.#.#....##.####.##..#....##.#.#.......##.#.#..###...#.......#..###...####.#....#.####..##.#.#####.#..#........##.####.#..###.####.#.#.#....##.####.##..#....##.#.#.......##.#.#..###...#.......#..###...####.#....#.####..##.#.#####.#..#........##.####.#..###.####.#.#.#....##.####.##..#....##.#.#.......##.#.#..###...#.......#..###...####.#....#.####.
..##..#.######.#.#.#.###.##.#####...#.#......##..####.#..#..#.#...#########.#####.#.#....##.###...#..####..#.#...####....#..##.....##.#...###.#.#.#.##.#.#...####.#.#..#.#####..#.###..#.......##............###..##....#.###.##...##.#..#.##...##...#.#.#.#####..#.#####...###...#..###.##...##...###.###.#########.##.##.#####.#...##...#.####....#.#######.##.#...#..#...###..####...#.#.#.#####..#.#####...###...#..###.##...##...###.###.#########.##.##.#####.#...##...#.####....#.#######.##.#...#..#...###..####...#.#.#.#####..#.#####...###...#..###.##...##...###.###.#########.##.##.#####.#...##...#.####....#.#######.##.#...#..#...###..####...#.#.#.#####..#.#####...###...#..###.##...##...###.###.#########.##.##.#####.#.#.##...#.####....#.#######.##.#...#..#...###..####...#.#.#.#####..#.#####...###...#..###.##...##...###.###.#########.##.##.#####.#...##...#.####....#.#######.##.#...#..#...###..####...#.#.#.#####..#.#####...###...#..###.##...##...###.###.#########.##.##.#####.#...##...#.####....#.###
#...#.##..##.##.##...#..##.#...#.....#..##.#####.#.###.##..#.#....####..###.###.##.#.###.##...#.#.#.....#.##....##...###.#.##.###.....#...###.#.##.#.....#.###..#.#..##.###..###.#......##.#.##..##...#....#....###.##...##....#.##.#.##.#..#......##..##..#...#....#.#....#####.#..#..#..###.#.#.#.##.#....#..###.#.#..##.#####.#..#..#.#...##.##....#.#....##.####..####..#..#.###..##..##..#...#....#.#....#####.#..#..#..###.#.#.#.##.#....#..###.#.#..##.#####.#..#..#.#...##.##....#.#....##.####..####..#..#.###..##..##..#...#....#.#....#####.#..#..#..###.#.#.#.##.#....#..###.#.#..##.#####.#..#..#.#...##.##....#.#....##.####..####..#..#.###..##..##..#...#....#.#....#####.#..#..#..###.#.#.#.##.#....#..###.#.#..##.#####.#..#..#.#...##.##....#.#....##.####..####..#..#.###..##..##..#...#....#.#....#####.#..#..#..###.#.#.#.##.#....#..###.#.#..##.#####.#..#..#.#...##.##....#.#....##.####..####..#..#.###..##..##..#...#....#.#....#####.#..#..#..###.#.#.#.##.#....#..###.#.#..##.#####.#..#..#.#...##.##....#.#
#.###.#.##.#..#..###.#..#...#..#..###.....##.######..#.#.....###..##.#...###.....####...###...##.##..#.####.#..##.#####.##.....#....###.#.##.#...#......#.##.##.#..#...........##...#...###...#.####.#....##.#..#.###..#####..#.##.#.###..##...###.#######..#.#.#####.#..#.#...#.#..####.####..###...#.##.#..#.#...#####..#######....#####....##...##.#.#........##....#...####.....#.#######..#.#.#####.#..#.#...#.#..####.####..###...#.##.#..#.#...#####..#######....#####....##...##.#.#........##....#...####.....#.#######..#.#.#####.#..#.#...#.#..####.####..###...#.##.#..#.#...#####..#######....#####....##...##.#.#........##....#...####.....#.#######..#.#.#####.#..#.#...#.#..####.####..###...#.##.#..#.#...#####..#######....#####....##...##.#.#........##....#...####.....#.#######..#.#.#####.#..#.#...#.#..####.####..###...#.##.#..#.#...#####..#######....#####....##...##.#.#........##....#...####.....#.#######..#.#.#####.#..#.#...#.#..####.####..###...#.##.#..#.#...#####..#######....#####....##...##.#.#
......#.....#.###.#.#.##.#.#####.#####.##..###..#.######.#..#..#.#.#.#..####..##.#..##...#######.#..##...##.#.####.#.##.#.......####.#.#.###.##.#..#.#.######.##.#.##....##.#.##.###..##.##.#..########.##.###.#..####.##..#...##...#...####..##..#...#######...###...##...##.######.######.######..######.####.##.####.#..##.#...#.##......#...##.##.#####.##.#..#.###..##..#.#...#.#...#######...###...##...##.######.######.######..#####..####.##.####.#..##.#...#.##......#...##.##.#####.##.#..#.###..##..#.#...#.#...#######...###...##...##.######.######.######..#####..####.##.####.#..##.#...#.##......#...##.##.#####.##.#..#.###..##..#.#...#.#...#######...###...##...##.######.######.######..#####..####.##.####.#..##.#...#.##......#...##.##.#####.##.#..#.###..##..#.#...#.#...#######...###...##...##.######.######.######..#####..####.##.####.#..##.#...#.##......#...##.##.#####.##.#..#.###..##..#.#...#.#...#######...###...##...##.######.######.######..#####..####.##.####.#..##.#...#.##......#...##.##.###
####..#.#####..##...###.#.######.#.######.#..##....#.....#..##.....###..#.#.##.#.#.####.#..##...##...#..####...#.#.#...###..#.####...##..#.#..###.#####..####..#.###..#....##....##.#..##.##....#..#.######.#.#...#....##.###...#..#.#..#..#..#..###.##.##...#..##..##..##..#....#.#..#.#...#...#.##.#.#..#.#...#.#....##.........##...##....##..####.....##..##.####..###..#.##..#.###.##.##...#..##..##..##..#....#.#..#.#...#...#.##.#.#..#.#...#.#....##.........##...##....##..####.....##..##.####..###..#.##..#.###.##.##...#..##..##..##..#....#.#..#.#...#...#.##.#.#..#.#...#.#....##.........##...##....##..####.....##..##.####..###..#.##..#.###.##.##...#..##..##..##..#....#.#..#.#...#...#.##.#.#..#.#...#.#....##.........##...##....##..####.....##..##.####..###..#.##..#.###.##.##...#..##..##..##..#....#.#..#.#...#...#.##.#.#..#.#...#.#....##.........##...##....##..####.....##..##.####..###..#.##..#.###.##.##...#..##..##..##..#....#.#..#.#...#...#.##.#.#..#.#...#.#....##.........##...##....##..####....
##..##...#...#.#....#..##.#.##.###.#..###..##..#.#...##.###..#..#..#.#.##.####.##.#..##.##.#...#.#........###.#.#####.##.#.#.##....#..##.#...#..##.#######.####.#..#....#..#.##...##.#.#.#..##.#.#...#####.####...###.###...#.#...##.#....#####.#..##.#........####...##.#..####.#..##.#...##.####.#.......#.#.#.####.....##....#..###...#.##.##.#..#.#.#....#.....#..#..##.#..#.##...##.#........####...##.#..####.#..##.#...##.####.#.......#.#.#.####.....##....#..###...#.##.##.#..#.#.#....#.....#..#..##.#..#.##...##.#........####...##.#..####.#..##.#...##.####.#.......#.#.#.####.....##....#..###...#.##.##.#..#.#.#....#.....#..#..##.#..#.##...##.#........####...##.#..####.#..##.#...##.####.#.......#.#.#.####.....##....#..###...#.##.##.#..#.#.#....#.....#..#..##.#..#.##...##.#........####...##.#..####.#..##.#...##.####.#.......#.#.#.####.....##....#..###...#.##.##.#..#.#.#....#.....#..#..##.#..#.##...##.#........####...##.#..####.#..##.#...##.####.#.......#.#.#.####.....##....#..###...#.##.##.#..#.#.#
.#..##..#.##..#...#.#####...#....####..##..##.###.#.#.##.##.#..###.####.#....###.##..###....#..#####....#.####...##.######..###.####.#.#.#####.#..###.##.#.#..#...##...#..#.....###.####.#.#..#.#.....#.#..###.####..###.##....###...#.##...####....##.####.#.##...#...#.#...###.#.##.#...##.##..#.#..#.##..#..#..#..###...##.#..##.###......#.#..#..#.#...####..###..#.#.#.###..#.#...##.####.#.##...#...#.#...###.#.##.#...##.##..#.#..#.##..#..#..#..###...##.#..##.###......#.#..#..#.#...####..###..#.#.#.###..#.#...##.####.#.##...#...#.#...###.#.##.#...##.##..#.#..#.##..#..#..#..###...##.#..##.###......#.#..#..#.#...####..###..#.#.#.###..#.#...##.####.#.##...#...#.#...###.#.##.#...##.##..#.#..#.##..#..#..#..###...##.#..##.###......#.#..#..#.#...####..###..#.#.#.###..#.#...##.####.#.##...#...#.#...###.#.##.#...##.##..#.#..#.##..#..#..#..###...##.#..##.###......#.#..#..#.#...####..###..#.#.#.###..#.#...##.####.#.##...#...#.#...###.#.##.#...##.##..#.#..#.##..#..#..#..###...##.#..##.###......#.#..#..#.#.
.##..####..##.#######.#.#.#..###...######.######.##...##.#....##.#..#.........##.######...#..#..##..#..##.#.#.....######.....#......#.#..#...###.##.###.###.#.#.####..#.##.#....##..#.##..#.....###.#.#.#...##.#####.#..#...##.###.##...#..###.#...##.#.##..#....##.....#....###...#....##..####..#.####......#..#..##......##.#.#.####.......#...##.####.#####......#..#..#.##..#....##.#.##..#....##.....#....###...#....#...####..#.####......#..#..##......##.#.#.####.......#...##.####.#####......#..#..#.##..#....##.#.##..#....##.....#....###...#....#...####..#.####......#..#..##......##.#.#.####.......#...##.####.#####......#..#..#.##..#....##.#.##..#....##.....#....###...#....#...####..#.####......#..#..##......##.#.#.####.......#...##.####.#####......#..#..#.##..#....##.#.##..#....##.....#....###...#....#...####..#.####......#..#..##......##.#.#.####.......#...##.####.#####......#..#..#.##..#....##.#.##..#....##.....#....###...#....#...####..#.####......#..#..##......##.#.#.####.......#...##.####
.##..###....#.#####..#....#.##..#.###..#.##.###.#.####.####....#####..##....#####.#.#.#.#.###.#.####.#..#.#..##.#..##...#.#.##.....###...#.##.##..#.######.#.#.#..#..###....#.#####.##..#.#.#..#..#...###..####....##.##...###...##.#...#....#...###.#####.##.....##########.##.####..#.###########.#.#......##.#...####.#####.....#..####....#.##.#####..##..##...##.###..##.#.###.###.#####.##.....##########.##.####..#.###########.#.#......##.#...####.#####.....#..####....#.##.#####..##..##...##.###..##.#.###.###.#####.##.....##########.##.####..#.###########.#.#......##.#...####.#####.....#..####....#.##.#####..##..##...##.###..##.#.###.###.#####.##.....##########.##.####..#.###########.#.#......##.#...####.#####.....#..####....#.##.#####..##..##...##.###..##.#.###.###.#####.##.....##########.##.####..#.###########.#.#......##.#...####.#####.....#..####....#.##.#####..##..##...##.###..##.#.###.###.#####.##.....##########.##.####..#.###########.#.#......##.#...####.#####.....#..####....#.##.#####.
...#.#..####.#.#...#..#.##.##...###.#.##.###...#..#.#..#...##.#..######...#..#..##.##.##.#..##.....#.#####.###...####..#..###...#..##.###.....#.##.##.##.##.......#.#####..#.##.#.##.######.#..##.....#.#.##.##..#..######..##...##.#.#....#.###..###.#...##...#...##...##..#.#.##..#######.#.##.#.#.##..#.#.......#.#....#..####.###...#....##......#...###.#.#.####..#.....####.#..###.#...##...#...##...##..#.#.##..#######.#.##.#.#.##..#.#.......#.#....#..####.###...#....##......#...###.#.#.####..#.....####.#..###.#...##...#...##...##..#.#.##..#######.#.##.#.#.##..#.#.......#.#....#..####.###...#....##......#...###.#.#.####..#.....####.#..###.#...##...#...##...##..#.#.##..#######.#.##.#.#.##..#.#.......#.#....#..####.###...#....##......#...###.#.#.####..#.....####.#..###.#...##...#...##...##..#.#.##..#######.#.##.#.#.##..#.#.......#.#....#..####.###...#....##......#...###.#.#.####..#.....####.#..###.#...##...#...##...##..#.#.##..#######.#.##.#.#.##..#.#.......#.#....#..####.###...#....##......#...
.###.#.#####....###.##....#.#.#...###..##.#.#.##.####.#.#.#..##.....###.#.##..#.####...#...#.##..####..##.##.########..#.#.#.#......#..##..###..##..#...##.########.#.###.##..####.#..#.#..##...#..##..##..#.#.##.#.#..###.######..###.#..##.###.##.#.#..####.#.###...#...#.#.....#...##.#.##.#..#...##...#.#.##.#.##..##.#.#...........#####..##.#..######.......#.##.#..##...##...##.#.#..####.#.###...#...#.#.....#...##.#.##.#..#...##...#.#.##.#.##..##.#.#...........#####..##.#..######.......#.##.#..##...##...##.#.#..####.#.###...#...#.#.....#...##.#.##.#..#...##...#.#.##.#.##..##.#.#...........#####..##.#..######.......#.##.#..##...##...##.#.#..####.#.###...#...#.#.....#...##.#.##.#..#...##...#.#.##.#.##..##.#.#...........#####..##.#..######.......#.##.#..##...##...##.#.#..####.#.###...#...#.#.....#...##.#.##.#..#...##...#.#.##.#.##..##.#.#...........#####..##.#..######.......#.##.#..##...##...##.#.#..####.#.###...#...#.#.....#...##.#.##.#..#...##...#.#.##.#.##..##.#.#...........#####..##.#..####
#...###..#.#...##.###.###.#.####.######..####..##.###..###.####.###.....##...####.#.#.#.#.###...#..####..#.##..##.....#...##.....##.##..##..#.##.###.##.#..##..####.#.#..###.#..#...#....#..##.#..######.#.#..###.#.#.#.####..##..#.#.#....#.####..###.####.#..###.####.###.###.#.#.##########.##..####....#.....#####.####.#.#..#####..#########....#..#.####.##...####...#..#####...###.####.#..###.####.###.###.#.#.##########.##..####....#.....#####.####.#.#..#####..#########....#..#.####.##...####...#..#####...###.####.#..###.####.###.###.#.#.##########.##..####....#.....#####.####.#.#..#####..#########....#..#.####.##...####...#..#####...###.####.#..###.####.###.###.#.#.##########.##..####....#.....#####.####.#.#..#####..#########....#..#.####.##...####...#..#####...###.####.#..###.####.###.###.#.#.##########.##..####....#.....#####.####.#.#..#####..#########....#..#.####.##...####...#..#####...###.####.#..###.####.###.###.#.#.##########.##..####....#.....#####.####.#.#..#####..#########....#..#
###..###.#####.##.##..##.#.#.#.#..###...#.###......#...##.#.###..##..######.###..##.....#..##..#.##.##.##.....####...##.....##...#...#..####.#.#..##.#..#.#...###.######.###..##.##..#.####.##...##.###...#.....####.#..##..#.#...#####.######......#########...##..........#..#####.#.####.#.#...#..#...##..##.##.#####.###.#.#...#.#.#.#.##.##.#.#.##..#....###..#...###.#....####...#########...##..........#..#####.#.####.#.#...#..#...##..##.##.#####.###.#.#...#.#.#.#.##.##.#.#.##..#....###..#...###.#....####...#########...##..........#..#####.#.####.#.#...#..#...##..##.##.#####.###.#.#...#.#.#.#.##.##.#.#.##..#....###..#...###.#....####...#########...##..........#..#####.#.####.#.#...#..#...##..##.##.#####.###.#.#...#.#.#.#.##.##.#.#.##..#....###..#...###.#....####...#########...##..........#..#####.#.####.#.#...#..#...##..##.##.#####.###.#.#...#.#.#.#.##.##.#.#.##..#....###..#...###.#....####...#########...##..........#..#####.#.####.#.#...#..#...##..##.##.#####.###.#.#...#.#.#.#.##.##.#.#.##..
#####....#..#.#..#.##.#...#....###.#..###.#.##..##......#.#..#.##.#..##.##..#..##..##......##..##....#..#.#.#.##..##.#....######..#.#...#.##..#...#....#.#.##.##..#...###.##..##.#####...####.....###..###.......##.##.###.....#...##.###.##...###...###.....#.##.....####..#.#.##.###.#.#.###..##...#.#####.##...##..#.#..#.#.#.........#.#...#############...##.#..###......#.###.#...###.....#.##.....####..#.#.##.###.#.#.###..##...#.#####.##...##..#.#..#.#.#.........#.#...#############...##.#..###......#.###.#...###.....#.##.....####..#.#.##.###.#.#.###..##...#.#####.##...##..#.#..#.#.#.........#.#...#############...##.#..###......#.###.#...###.....#.##.....####..#.#.##.###.#.#.###..##...#.#####.##...##..#.#..#.#.#.........#.#...#############...##.#..###......#.###.#...###.....#.##.....####..#.#.##.###.#.#.###..##...#.#####.##...##..#.#..#.#.#.........#.#...#############...##.#..###......#.###.#...###.....#.##.....####..#.#.##.###.#.#.###..##...#.#####.##...##..#.#..#.#.#.........#.#...##########
##.###..#....##..###...##..#..#.#####...#..#.##...##..#..####.###..#.#.##..###.###.###..###.....#..#.##.#.####.#......#.##.##..##.#..##.#.....#.##.....#####.#.###...#.#.##..######..###..#..###.#...#.###...#.####.####.###.#..##.#.###.#..###.#..#..##..##.###...#..##..#.#..#.#..#.##...##.##..####.########.##.##...######.#..##..#..###..###.#.#..#..###.#####..######..##.#..#..#..##..##.###...#..##..#.#..#.#..#.##...##.##..####.########.##.##...######.#..##..#..###..###.#.#..#..###.#####..######..##.#..#..#..##..##.###...#..##..#.#..#.#..#.##...##.##..####.########.##.##...######.#..##..#..###..###.#.#..#..###.#####..######..####..#..#..##..##.###...#..##..#.#..#.#..#.##...##.##..####.########.##.##...######.#..##..#..###..###.#.#..#..###.#####..######..##.#..#..#..##..##.###...#..##..#.#..#.#..#.##...##.##..####.########.##.##...######.#..##..#..###..###.#.#..#..###.#####..######..##.#..#..#..##..##.###...#..##..#.#..#.#..#.##...##.##..####.########.##.##...######.#..##..#..###..###.#.#..#.
.#..####..####.#.#...#.###..#.##..###..#....####....####..####....###..#..#...###..#...##......###.......#..##.#.#..#####...#..#.#.##.########.#.#####.#..##.#..#.######..#..#.##..#.#.##.##....##..##...#.#.#..#.##.#.#..#..###....#..##.##..####..####..#...#.#......#..##..#...#.#..###.#..##.#####.#.#..###..##..#.#.#....###.##.###.#.#..###......#.####.#..#....#..#....#.#.###..####..#...#.#......#..##..#...#.#..###.#..##.#####.#.#..###..##..#.#.#....###.##.###.#.#..###......#.####.#..#....#..#....#.#.###..####..#...#.#......#..##..#...#.#..###.#..##.#####.#.#..###..##..#.#.#....###.##.###.#.#..###......#.####.#..#....#..#....#.#.###..####..#...#.#......#..##..#...#.#..###.#..##.#####.#.#..###..##..#.#.#....###.##.###.#.#..###......#.####.#..#....#..#....#.#.###..####..#...#.#......#..##..#...#.#..###.#..##.#####.#.#..###..##..#.#.#....###.##.###.#.#..###......#.####.#..#....#..#....#.#.###..####..#...#.#......#..##..#...#.#..###.#..##.#####.#.#..###..##..#.#.#....###.##.###.#.#..###......#.
#..####....##.....##...#..##..#...#......##.#....####....###.#.##...#.#..##..##..######.#..#...######..###..##.##..#..#..#..##.#.#####..##.#####.#########.#...#...#.###.######..##.####.#.#######.###..#.###.#..#.##.#..#..#..###...#..#..#..#...####.#.#..###.....##.##..#...####..##.#.#..#...###.###.##..##..##.###....##..##...##.#.###.##.##.###.##..###.#.####..###.#.###.#.#.####.#.#..###.....##.##..#...####..##.#.#..#...###.###.##..##..##.###....##..##...##.#.###.##.##.###.##..###.#.####..###.#.###.#.#.####.#.#..###.....##.##..#...####..##.#.#..#...###.###.##..##..##.###....##..##...##.#.###.##.##.###.##..###.#.####..###.#.###.#.#.####.#.#..###.....##.##..#...####..##.#.#..#...###.###.##..##..##.###....##..##...##.#.###.##.##.###.##..###.#.####..###.#.###.#.#.####.#.#..###.....##.##..#...####..##.#.#..#...###.###.##..##..##.###....##..##...##.#.###.##.##.###.##..###.#.####..###.#.###.#.#.####.#.#..###.....##.##..#...####..##.#.#..#...###.###.##..##..##.###....##..##...##.#.###.##.##.###.##
#.....#..###..#####...###.##..#......#..#..#...#.##.##..#.##.##.#..##.....#.....#####.#...#.##.##..##....#....##....#.####..####.#####.#..#.#.#...#..#.#.#...#.#.#..#####.#..#.#..#..###..##...###....#.##.###..##.#####...#..#.#..##.#.##.#.#.#.###....##.....##...#..##..#####...#.##...###.###.#.....######..#.####.##.#.##.#..#..####.##..#.####.##.#..##............######.###.###....##.....##...#..##..#####...#.##...###.###.#.....######..#.####.##.#.##.#..#..####.##..#.####.##.#..##............######.###.###....##.....##...#..##..#####...#.##...###.###.#.....######..#.####.##.#.##.#..#..####.##..#.####.##.#..##............######.###.###....##.....##...#..##..#####...#.##...###.###.#.....######..#.####.##.#.##.#..#..####.##..#.####.##.#..##............######.###.###....##.....##...#..##..#####...#.##...###.###.#.....######..#.####.##.#.##.#..#..####.##..#.####.##.#..##............######.###.###....##.....##...#..##..#####...#.##...###.###.#.....######..#.####.##.#.##.#..#..####.##..#.####.##.#
#.#.#.#.##.#.##.#####.#...##..#..##.#...###.##..##.#...##.#.....#.#.#..#.##.##..##...#.###.....###...#..........#...#####.####..##.##.###...###.#..##.#.#..#.#####...###.#.#####..##..#...##.#..#.##.##.#####..#####.#.....#.###..#.....#...##.#.####.#.#....####....#...#.####.##..##....#.###.#.####...##..#.######.#.#...###.#...#..###..#...#.##.#.####.#.#.#.###.###.#....#.#..####.#.#....####....#...#.####.##..##....#.###.#.####...##..#.######.#.#...###.#...#..###..#...#.##.#.####.#.#.#.###.###.#....#.#..####.#.#....####....#...#.####.##..##....#.###.#.####...##..#.######.#.#...###.#...#..###..#...#.##.#.####.#.#.#.###.###.#....#.#..####.#.#....####....#...#.####.##..##....#.###.#.####...##..#.######.#.#...###.#...#..###..#...#.##.#.####.#.#.#.###.###.#....#.#..####.#.#....####....#...#.####.##..##....#.###.#.####...##..#.######.#.#...###.#...#..###..#...#.##.#.####.#.#.#.###.###.#....#.#..####.#.#....####....#...#.####.##..##....#.###.#.####...##..#.######.#.#...###.#...#..###..#...#.##.#.##
###.####.#..#...###.###...#.##.#..#.##.#...#.##..#.#...#.####.....##....#.##.###...#..##..#..##...#####..#.#...#.###.##.#..#####......####..#.#...##.#...#..#..##.#.#.#....#.###....#.......####.###...#..##...#....##.#......##..##..##..###.###.#..#...#....##.###.#.###.#.....##.#...#.##.##....#..###.#.###.#....#..####.#...#..#....##..#...#..##.##.#.##..####......#####...#..#..#...#....##.###.#.###.#.....##.#...#.##.##....#..###.#.###.#....#..####.#...#..#....##..#...#..##.##.#.##..####......#####...#..#..#...#....##.###.#.###.#.....##.#...#.##.##....#..###.#.###.#....#..####.#...#..#....##..#...#..##.##.#.##..####......#####...#..#..#...#....##.###.#.###.#.....##.#...#.##.##....#..###.#.###.#....#..####.#...#..#....##..#...#..##.##.#.##..####......#####...#..#..#...#....##.###.#.###.#.....##.#...#.##.##....#..###.#.###.#....#..####.#...#..#....##..#...#..##.##.#.##..####......#####...#..#..#...#....##.###.#.###.#.....##.#...#.##.##....#..###.#.###.#....#..####.#...#..#....##..#...#..##.##
##..##..#.#####.......#.#.#...#..#..#.#.#..##..###.####.###.#...####.##.#.#.####...#.......#.####.#.#.#...##.#...#....##..#.#..###.#...#####...#..##.####.##.#....######.###.#.###.#.##..#...####.....##.....####.##..###.##..##...#####....#..##.#.....#####..#..#.#.#...##.##...#.#######.#.#.#.#...#.###....####.##.##.#..####.###.###.###......####..##..#.#.....##..#.#..#.#.##.#.....#####..#..#.#.#...##.##...#.#######.#.#.#.#...#.###....####.##.##.#..####.###.###.###......####..##..#.#.....##..#.#..#.#.##.#.....#####..#..#.#.#...##.##...#.#######.#.#.#.#...#.###....####.##.##.#..####.###.###.###......####..##..#.#.....##..#.#..#.#.##.#.....#####..#..#.#.#...##.##...#.#######.#.#.#.#...#.###....####.##.##.#..####.###.###.###......####..##..#.#.....##..#.#..#.#.##.#.....#####..#..#.#.#...##.##...#.#######.#.#.#.#...#.###....####.##.##.#..####.###.###.###......####..##..#.#.....##..#.#..#.#.##.#.....#####..#..#.#.#...##.##...#.#######.#.#.#.#...#.###....####.##.##.#..####.###.###.###......####..
.####.#####.#.#..#...#.########.#......###.#.#.#.##....###.##.######.#..###..###.#..#.#.....#.#....##.####.###...#.#.##.#.##.#..##.#..#..#...#.###..####.##..##..###.#.#......#.##.....#.##.###.#.##.#.#.#..##...####.#..#.###....###...........#.#.#.##.#.#...##.#.#####..##.####.#.####..##...###.#..######.#.###..##.###.#.#..#.##..##..##.#...########..#.#..##..###...#..#.####.#.#.##.#.#...##.#.#####..##.####.#.####..##...###.#..######.#.###..##.###.#.#..#.##..##..##.#...########..#.#..##..###...#..#.####.#.#.##.#.#...##.#.#####..##.####.#.####..##...###.#..######.#.###..##.###.#.#..#.##..##..##.#...########..#.#..##..###...#..#.####.#.#.##.#.#...##.#.#####..##.####.#.####..##...###.#..######.#.###..##.###.#.#..#.##..##..##.#...########..#.#..##..###...#..#.####.#.#.##.#.#...##.#.#####..##.####.#.####..##...###.#..######.#.###..##.###.#.#..#.##..##..##.#...########..#.#..##..###...#..#.####.#.#.##.#.#...##.#.#####..##.####.#.####..##...###.#..######.#.###..##.###.#.#..#.##..##..##.#...#######
.##.#....###.#.#.##....###......####...#...#...##.##.###...#...#..##.##..#.....#..##.###....##########.###.#......#.###.........#..###.#.#....#..#..#.#..#..#....#...#....#....##.#.#####..#.##.##.#.###..#..#..####..####.#......##..####..#....###.....##.##..#.#.##########.###...#...#....#...####..###..##.#.#.....###..##.#.##.##.#...#.#.#.....###.#...#.###...####.##..#..#####.....##.#...#.#.##########.###...#...#....#...####..###..##.#.#.....###..##.#.##.##.#...#.#.#.....###.#...#.###...####.##..#..#####.....##.#...#.#.##########.###...#...#....#...####..###..##.#.#.....###..##.#.##.##.#...#.#.#.....###.#...#.###...####.##..#..#####.....##.#...#.#.##########.###...#...#....#...####..###..##.#.#.....###..##.#.##.##.#...#.#.#.....###.#...#.###...####.##..#..#####.....##.#...#.#.##########.###...#...#....#...####..###..##.#.#.....###..##.#.##.##.#...#.#.#.....###.#...#.###...####.##..#..#####.....##.#...#.#.##########.###...#...#....#...####..###..##.#.#.....###..##.#.##.##.#...#.#.#.....###
..#...###.###.###.##.##.###...#.##.#..###.#.###..#.####.##.##.....##...#.#...###.....##.#..#####....#..#####.##..###......#..##.#..###.###..#####.#.####.###.###.##.....#..###.#....##.#...#.#.....#.##.....##......####..#...#...####.###........#....##############.##.##....#.#....###.###..##.##.#.###..#.#.####..##.#...####.#####....#.####..##.#.#........##..##..##..###.....#....##############.##.##....#.#....###.###..##.##.#.###..#.#.####..##.#...####.#####....#.####..##.#.#........##..##..##..###.....#....##############.##.##....#.#....###.###..##.##.#.###..#.#.####..##.#...####.#####....#.####..##.#.#........##..##..##..###.....#....##############.##.##....#.#....###.###..##.##.#.###..#.#.####..##.#...####.#####....#.####..##.#.#........##..##..##..###.....#....##############.##.##....#.#....###.###..##.##.#.###..#.#.####..##.#...####.#####....#.####..##.#.#........##..##..##..###.....#....##############.##.##....#.#....###.###..##.##.#.###..#.#.####..##.#...####.#####....#.####..##.#.#
#..########....####.#..##.###.##.#.##.###.##.####.##...#.#.##.#.#######...#.#####..##.##.#.#.#.###.......#.#..#.##.###.###.#.##.#..##..##.###.###.........##.....#..##.#...#..#...#.#.#.#.#.####....###.#..#.#.##..####.####.#.##.##.###.######....#..####.#..###......#..##...#####.##.###..##.##...###.##..#.....##...........##......##.##.##.#.###.#.###..#..#...###..#....#......#..####.#..###......#..##...#####.##.###..##.##...###.##..#.....##...........##......##.##.##.#.###.#.###..#..#...###..#....#......#..####.#..###......#..##...#####.##.###..##.##...###.##..#.....##...........##......##.##.##.#.###.#.###..#..#...###..#....#......#..####.#..###......#..##...#####.##.###..##.##...###.##..#.....##...........##......##.##.##.#.###.#.###..#..#...###..#....#......#..####.#..###......#..##...#####.##.###..##.##...###.##..#.....##...........##......##.##.##.#.###.#.###..#..#...###..#....#......#..####.#..###......#..##...#####.##.###..##.##...###.##..#.....##...........##......##.##.##.#.###.#.
.##.#####.#.#...#.#..##.#.##..####....####.###..#.##..##.#.###.#.#..##...##.#....#...##..####...##....####..#..##.####...#.###.#..#.##.#.#..#.#..######.#.#.#.#..#...#.##...##.###.##.#...####.#...####.##.#.##.##.##.......#....#....##..###.###.#.##...###.#.#.####.#..#######..#.###.##..##......#.#.###....#..####..##..#..#####.##..########.#.#.#..##..####....##.##...........#.##...###.#.#.####.#..#######..#.###.##..##......#.#.###....#..####..##..#..#####.##..########.#.#.#..##..####....##.##...........#.##...###.#.#.####.#..#######..#.###.##..##......#.#.###....#..####..##..#..#####.##..########.#.#.#..##..####....##.##...........#.##...###.#.#.####.#..#######..#.###.##..##......#.#.###....#..####..##..#..#####.##..########.#.#.#..##..####....##.##...........#.##...###.#.#.####.#..#######..#.###.##..##......#.#.###....#..####..##..#..#####.##..########.#.#.#..##..####....##.##...........#.##...###.#.#.####.#..#######..#.###.##..##......#.#.###....#..####..##..#..#####.##..########.#.#.#..
###.####.....#.#.....#.#...#.#.#..#.#######....#######.##....#..#####...#.#####.###..#......#.#.#....###.#####.#######...###..#...#..###..##.#...#.###....##.##.#...#..#..##..#.#...#.##.#.#####.###.##.#..###.####...#..#...#..####.#.##.###.#.#...#.#.##...##.#.###.#....##......##..#.##.#..###..##..#.....#.###....#..####..#####.#...#..#....##.###.#.##.#....#.#..#.##...#.#.#...#.#.##...##.#.###.#....##......##..#.##.#..###..##..#.....#.###....#..####..#####.#...#..#....##.###.#.##.#....#.#..#.##...#.#.#...#.#.##...##.#.###.#....##......##..#.##.#..###..##..#.....#.###....#..####..#####.#...#..#....##.###.#.##.#....#.#..#.##...#.#.#...#.#.##...##.#.###.#....##......##..#.##.#..###..##..#.....#.###....#..####..#####.#...#..#....##.###.#.##.#....#.#..#.##...#.#.#...#.#.##...##.#.###.#....##......##..#.##.#..###..##..#.....#.###....#..####..#####.#...#..#....##.###.#.##.#....#.#..#.##...#.#.#...#.#.##...##.#.###.#....##......##..#.##.#..###..##..#.....#.###....#..####..#####.#...#..#....##.###.
##.#.###.#.#.....#..###..#.###...#...###..##.#.##.####.#.##.#..#..#.######.####..#......##..#####.#####..##...#..#.##...##..####..#..#...#.######..####..#...###.##...#..#.#..##..####..#.#...#...#..##..##.#...###...##.##...#.##..#.......###.....#...##.#.......#..#.#.#.#...####...###..###...#.#...#..#..##.....#.####...#.##.#..#.###.......#..##.###.#....##.#.#..####...####...#...##.#.......#..#.#.#.#...####...###..###...#.#...#..#..##.....#.####...#.##.#..#.###.......#..##.###.#....##.#.#..####...####...#...##.#.......#..#.#.#.#...####...###..###...#.#...#..#..##.....#.####...#.##.#..#.###.......#..##.###.#....##.#.#..####...####...#...##.#.......#..#.#.#.#...####...###..###...#.#...#..#..##.....#.####...#.##.#..#.###.......#..##.###.#....##.#.#..####...####...#...##.#.......#..#.#.#.#...####...###..###...#.#...#..#..##.....#.####...#.##.#..#.###.......#..##.###.#....##.#.#..####...####...#...##.#.......#..#.#.#.#...####...###..###...#.#...#..#..##.....#.####...#.##.#..#.###.......#..####
.#.#.#..##..#.#..##..##.##...##...#..##.#..##.#####.##..###....##..####...#.#....#.#.#...###.##.#.###..#.#.##.####..#..###.#.#.#.#.##..####.##.#.#...#.#.#...#..##.####...#.#.#.#.#..##..####.##....#..##...#.....#.#...##.....#.###.....####.#.##...###.....#..#..#..###.#.#....##..#.#...#.##..#..#..#..#..#..####..###.##..###.......#.#.#..###.###.#####.##.#..###.####.####.#..#...###.....#..#..#..###.#.#....##..#.#...#.##..#..#..#..#..#..####..###.##..###.......#.#.#..###.###.#####.##.#..###.####.####.#..#...###.....#..#..#..###.#.#....##..#.#...#.##..#..#..#..#..#..####..###.##..###.......#.#.#..###.###.#####.##.#..###.####.####.#..#...###.....#..#..#..###.#.#....##..#.#...#.##..#..#..#..#..#..####..###.##..###.......#.#.#..###.###.#####.##.#..###.####.####.#..#...###.....#..#..#..###.#.#....##..#.#...#.##..#..#..#..#..#..####..###.##..###.......#.#.#..###.###.#####.##.#..###.####.####.#..#...###.....#..#..#..###.#.#....##..#.#...#.##..#..#..#..#..#..####..###.##..###.......#.#.#..###.###.##
..#........#.#####..#.#....##.....#########.##.##.##..#......#..###..#.##..##.#.###...#.#.##.#....#.#...#####.#####.##.##..##.##..#.########.#####..#..###.#.#.#...##.#...##..#..####.####..#.##.#.#######...#..###..##.####...####.#....##.#.##.#..###.#.#...#.##.#..##..########..#...##...#.###..#...#.##..#..#.##..#.#...#.###....####...#..#...#.##....##.#...##.#...#.####.#.##..###.#.#...#.##.#..##..########..#...##...#.###..#...#.##..#..#.##..#.#...#.###....####...#..#...#.##....##.#...##.#...#.####.#.##..###.#.#...#.##.#..##..########..#...##...#.###..#...#.##..#..#.##..#.#...#.###....####...#..#...#.##....##.#...##.#...#.####.#.##..###.#.#...#.##.#..##..########..#...##...#.###..#...#.##..#..#.##..#.#...#.###....####...#..#...#.##....##.#...##.#...#.####.#.##..###.#.#...#.##.#..##..########..#...##...#.###..#...#.##..#..#.##..#.#...#.###....####...#..#...#.##....##.#...##.#...#.####.#.##..###.#.#...#.##.#..##..########..#...##...#.###..#...####..#..#.##..#.#...#.###....####...#..#...#.##.
..#.....##.#.##.#.#.##...###.##...###..###.##.#.###########.....#.#..###.##.#.#.#.....#..#.##..#.#..#######.#####...#.#.##...#..##.###.########...#.#....###.##..#.##..#.###.#.###...##.#.#.#.###.#.##.#....##.####....#.#....###.###.####..##.#...##.###..##.####...#.#####...#.#.######....##.##.#.#.##.#.####.##..###.#...####.#.######....###..#..##.#......#...##.#..##.#####....##.###..##.####...#.#####...#.#.######....##.##.#.#.##.#.####.##..###.#...####.#.######....###..#..##.#......#...##.#..##.#####....##.###..##.####...#.#####...#.#.######....##.##.#.#.##.#.####.##..###.#...####.#.######....###..#..##.#......#...##.#..##.#####....##.###..##.####...#.#####...#.#.######....##.##.#.#.##.#.####.##..###.#...####.#.######....###..#..##.#......#...##.#..##.#####....##.###..##.####...#.#####...#.#.######....##.##.#.#.##.#.####.##..###.#...####.#.######....###..#..##.#......#...##.#..##.#####....##.###..##.####...#.#####...#.#.######....##.##.#.#.##.#.####.##..###.#...####.#.######....###..#..##.
.###.#.#.##...##.##.##...#.##.###.#......#####.#.#.###..#.....#....#.###.#.#..#..##..#.###.....##.#######.###....###.##..###.#..#####...####.#.#####.#..#.####...#..#....###.##.#.##.##..###....#..#..###.##.#.#..##..#.#...#.#.#..#.####.#.###.#.##.####...###...#..#.##.#.####..#...#####.#...#.#.#........#...#.#.#.#.####.#..##..#..##.#..#.#.##.....#..#....#######.......#.##..##.####...###...#..#.##.#.####..#...#####.#...#.#.#........#...#.#.#.#.####.#..##..#..##.#..#.#.##.....#..#....#######.......#.##..##.####...###...#..#.##.#.####..#...#####.#...#.#.#........#...#.#.#.#.####.#..##..#..##.#..#.#.##.....#..#....#######.......#.##..##.####...###...#..#.##.#.####..#...#####.#...#.#.#........#...#.#.#.#.####.#..##..#..##.#..#.#.##.....#..#....#######.......#.##..##.####...###...#..#.##.#.####..#...#####.#...#.#.#........#...#.#.#.#.####.#..##..#..##.#..#.#.##.....#..#....#######.......#.##..##.####...###...#..#.##.#.####..#...#####.#...#.#.#........#...#.#.#.#.####.#..##..#..##.#..#.#.##.....
##########.#.#.#..#.....##..####.#..##.#.#.#.#..#.....#...####..#.##..#.###.##.#...##..###...#..##..##.#.#########.#.#....#.##.#.##...#.#.#.......#####....##..#.###.#.######.###..#####..#.#..#..#..#.###.##.####..#...#...####.#.#.#.#...##..#.#######....#..###...#..#.....#.#####.###.###...#..##.##.#...##......##.#....#.#.##.....##.##.#.#..###....####....##.##......###..#########....#..###...#..#.....#.#####.###.###...#..##.##.#...##......##.#....#.#.##.....##.##.#.#..###....####....##.##......###..#########....#..###...#..#.....#.#####.###.###...#..##.##.#...##......##.#....#.#.##.....##.##.#.#..###....####....##.##......###..#########....#..###...#..#.....#.#####.###.###...#..##.##.#...##......##.#....#.#.##.....##.##.#.#..###....####....##.##......###..#########....#..###...#..#.....#.#####.###.###...#..##.##.#...##......##.#....#.#.##.....##.##.#.#..###....####....##.##......###..#########....#..###...#..#.....#.#####.###.###...#..##.##.#...##......##.#....#.#.##.....##.##.#.#..###...
#.#.####......##.##.#...#...#.#.#.#..######..###....##.#######.####.#.##.#..##.##.#....#..##.###.##.#...##............#..#..##...##..##.....#..#...#.#..#######.#.#.#...###.##....##.####.####....####..###..#####.###.....#...#.###.#.#.#######.#..#..#..###.#.###.#.#..##.##.##.#.#.......#.#.###...####..###.#####..###.#####.#..#.####.#...#######.###.##.#...##..#.##..##.###..#..#..#..###.#.###.#.#..##.##.##.#.#.......#.#.###...####..###.#####..###.#####.#..#.####.#...#######.###.##.#...##..#.##..##.###..#..#..#..###.#.###.#.#..##.##.##.#.#.......#.#.###...####..###.#####..###.#####.#..#.####.#...#######.###.##.#...##..#.##..##.###..#..#..#..###.#.###.#.#..##.##.##.#.#.......#.#.###...####..###.#####..###.#####.#..#.####.#...#######.###.##.#...##..#.##..##.###..#..#..#..###.#.###.#.#..##.##.##.#.#.......#.#.###...####..###.#####..###.#####.#..#.####.#...#######.###.##.#...##..#.##..##.###..#..#..#..###.#.###.#.#..##.##.##.#.#.......#.#.###...####..###.#####..###.#####.#..#.####.#...#######.##
.##.#.#.###...####...###.##.......#.#.###..####.#.###.##..#..##.##.###.####..##...###.#.###.##.#.#.######..#......##.........##.##..##.....##.#...#..#.#...#.##.#.#..##.####.##.######.##....#..#..#..#.#.##...#....#...##..#..###.#..######.###.####..##.###.##..#..#.##.########.#...#...####.#...#.##.##.######.####..####..#.###.#.#.##.##.##...##......##...#..#.#.#####..##.#.####..##.###.##..#..#.##.########.#...#...####.#...#.##.##.######.####..####..#.##..#.#.##.##.##...##......##...#..#.#.#####..##.#.####..##.###.##..#..#.##.########.#...#...####.#...#.##.##.######.####..####..#.##..#.#.##.##.##...##......##...#..#.#.#####..##.#.####..##.###.##..#..#.##.########.#...#...####.#...#.##.##.######.####..####..#.##..#.#.##.##.##...##......##...#..#.#.#####..##.#.####..##.###.##..#..#.##.########.#...#...####.#...#.##.##.######.####..####..#.##..#.#.##.##.##...##......##...#..#.#.#####..##.#.####..##.###.##..#..#.##.########.#...#...####.#...#.##.##.######.####..####..#.##..#.#.##.##.##...##...
##..#####...##.#...#..#.##.#..#..#######...#........#......#####.....#.#.####..#.#..##....###.##..##.#..#.####.#.....#....#..##.###.##..#.......#...#...###..#####...#####.#..##..##.##.##.##......#.##.###.####.#..#.#..#.####.#...##.##.#.##.#######.#.#.#....#####.###.#####.###.##.##....###....##.#....####..##..#.##...#...###..###.##...#...#.#...####..#.##.###.#.####.#.##.#####.#.#.#....#####.###.#####.###.##.##....###....##.#....####..##..#.##...#...###..###.##...#...#.#...####..#.##.###.#.####.#.##.#####.#.#.#....#####.###.#####.###.##.##....###....##.#....####..##..#.##...#...###..###.##...#...#.#...####..#.##.###.#.####.#.##.#####.#.#.#....#####.###.#####.###.##.##....###....##.#....####..##..#.##...#...###..###.##...#...#.#...####..#.##.###.#.####.#.##.#####.#.#.#....#####.###.#####.###.##.##....###....##.#....####..##..#.##...#...###..###.##...#...#.#...####..#.##.###.#.####.#.##.#####.#.#.#....#####.###.#####.###.##.##....###....##.#....####..##..#.##...#...###..###.##...#...#.#...
..#####.######..#.#.#..##.##...######...#...#.####.##..#.##.#....#......#.##.#.#..#.#....##....##...##..####...##.#.###.##.#.###.###.########.##.#..#...#.....#......#.#.#####.#########.###.#...#...#...#..#..#.#.###....#..##.#.#....##..#####..##..####.####.#..#####.#.######....##.##.#..#####.###...####..##...#####..####..##.#..#####......####....#...######..#..#...######.##..####.####.#..#####.#.######....##.##.#..#####.###...####..##...#####..####..##.#..#####......####....#...######..#..#...######.##..####.####.#..#####.#.######....##.##.#..#####.###...####..##...#####..####..##.#..#####......####....#...######..#..#...######.##..####.####.#..#####.#.######....##.##.#..#####.###...####..##...#####..####..##.#..#####......####....#...######..#..#...######.##..####.####.#..#####.#.######....##.##.#..#####.###...####..##...#####..####..##.#..#####......####....#...######..#..#...######.##..####.####.#..#####.#.######....##.##.#..#####.###...####..##...#####..####..##.#..#####......####..
###.......##...###.####..#..#.#..#.#####.#####.#...#..#.##.##...#..##......##.#.###.#.#..#.###..##..#.###.##....#.#..#....#..#...##########.###..#####.###.##..###...#....#.#.##...##.###.....###..##.##.######..#.#....#.###.##..######.###..#.##..###.#...##.##...##.#.#.###..#.#..####.#.######.#.#.##..##.#.##.#.##.####.#.##....##...#...###.#.##.##.....#...##....###..####.#.#..###.#...##.##...##.#.#.###..#.#..####.#.######.#.#.##..##.#.##.#.##.####.#.##....##...#...###.#.##.##.....#...##....###..####.#.#..###.#...##.##...##.#.#.###..#.#..####.#.######.#.#.##..##.#.##.#.##.####.#.##....##...#...###.#.##.##.....#...##....###..####.#.#..###.#...##.##...##.#.#.###..#.#..####.#.######.#.#.##..##.#.##.#.##.####.#.##....##...#...###.#.##.##.....#...##....###..####.#.#..###.#...##.##...##.#.#.###..#.#..####.#.######.#.#.##..##.#.##.#.##.####.#.##....##...#...###.#.##.##.....#...##....###..####.#.#..###.#...##.##...##.#.#.###..#.#..####.#.######.#.#.##..##.#.##.#.##.####.#.##....##...#...###.#.##.##
#.##..##.......#...#..##..#.#.###.##..#.######..#...#..#.#.##...#....#.#....#.#.##.###..###.#.....#......##.#...#.##.#.....###..#.#.##.#.####...##.#....##..#.#..#.##..##...#####.#.....##.######.###..####.#..##...##.#..###......##.#.#..#......###....#.....##.#.##..#..#.......#..#.#..#..#.##.#.......#####..#.########.##.#.#...######.##.#.##..##...#...#...#.###..#####.####.###....#.....##.#.##..#..#.......#..#.#..#..#.##.#.......#####..#.########.##.#.#...######.##.#.##..##...#...#...#.###..#####.####.###....#.....##.#.##..#..#.......#..#.#..#..#.##.#.......#####..#.########.##.#.#...######.##.#.##..##...#...#...#.###..#####.####.###....#.....##.#.##..#..#.......#..#.#..#..#.##.#.......#####..#.########.##.#.#...######.##.#.##..##...#...#...#.###..#####.####.###....#.....##.#.##..#..#.......#..#.#..#..#.##.#.......#####..#.########.##.#.#...######.##.#.##..##...#...#...#.###..#####.####.###....#.....##.#.##..#..#.......#..#.#..#..#.##.#.......#####..#.########.##.#.#...######.##.#.##..##.
##...###..###.#..####.#.#..##.##.###..#.#.#.....#.#...#.#.#...#.#..#.#..#.#....#..#.###.#.#..###.#.##.#.#..#.#...#..#.###...#.#...##...###....#.###.##.#.#....#####..#..#.###.#.##.#...#..#..#..##.#....#.####.##.#...#..#..#...###.##.##..#####......#.....#...#..##...#.....##.#...#.....###...####...############.##.#.##...#...#..#.#..##..##.###..#.#..#.####...####.####.###.......#.....#...#..##...#.....##.#...#.....###...####...############.##.#.##...#...#..#.#..##..##.###..#.#..#.####...####.####.###.......#.....#...#..##...#.....##.#...#.....###...####...############.##.#.##...#...#..#.#..##..##.###..#.#..#.####...####.####.###.......#.....#...#..##...#.....##.#...#.....###...####...############.##.#.##...#...#..#.#..##..##.###..#.#..#.####...####.####.###.......#.....#...#..##...#.....##.#...#.....###...####...############.##.#.##...#...#..#.#..##..##.###..#.#..#.####...####.####.###.......#.....#...#..##...#.....##.#...#.....###...####...############.##.#.##...#...#..#.#..##..##.###..#.
...#.#....#.#...##...######.#.######.###..#...#...####....##.##..###..###.#..####.##.#......#..##.....#..#.#.#####...#...###...##...##.######.....#..#.##...####.###.###.#####..###..######..######.#.#.....##..####.#.#...#.##.#.#....#####.##.#....#..#....#..##.###.###.....#..#.#..#..##............###....#.##.#.####..#.#.#...#......####..##.#..##...#...###....#.###..##........#..#....#..##.###.###.....#..#.#..#..##............###....#.##.#.####..#.#.#...#......####..##.#..##...#...###....#.###..##........#..#....#..##.###.###.....#..#.#..#..##............###....#.##.#.####..#.#.#...#......####..##.#..##...#...###....#.###..##........#..#....#..##.###.###.....#..#.#..#..##............###....#.##.#.####..#.#.#...#......####..##.#..##...#...###....#.###..##........#..#....#..##.###.###.....#..#.#..#..##............###....#.##.#.####..#.#.#...#......####..##.#..##...#...###....#.###..##........#..#....#..##.###.###.....#..#.#..#..##............###....#.##.#.####..#.#.#...#......####..##.#..##
...#.##..###.......#######.#######..##..#.#.#..####.##.#...##..##.###.#....###.###...#..#.#..#..#.#..#.#.####.#.###.#.##.#####.#..##.##....#....###.##.##..##..#....#######...###..#...#....#..#.......#...#.###.....####...##.####.........###...#.....##....#.##..########.##..#.##..##..##.##.####...#....#.#####.#.########.......#.##.#.#..###...##...#.###.#.###..###..##..###.#.....##....#.##..########.##..#.##..##..##.##.####...#....#.#####.#.########.......#.##.#.#..###...##...#.###.#.###..###..##..###.#.....##....#.##..########.##..#.##..##..##.##.####...#....#.#####.#.########...#...#.##.#.#..###...##...#.###.#.###..###..##..###.#.....##....#.##..########.##..#.##..##..##.##.####...#....#.#####.#.########.......#.##.#.#..###...##...#.###.#.###..###..##..###.#.....##....#.##..########.##..#.##..##..##.##.####...#....#.#####.#.########.......#.##.#.#..###...##...#.###.#.###..###..##..###.#.....##....#.##..########.##..#.##..##..##.##.####...#....#.#####.#.########.......#.##.#.#..###...##.
#.######.#.##...###..#.#...###...##......#.#.##.#.####..###...####.###.#.##..##...#..##.######.#.....#....#..#..##.#.###....#.#.######...#.###...#####.....##....#..####.###..#..#..#.##..######...#..#.#.#...#.#.#.#..#.#...###..######.#.#.###..##.#.##..###..###.###.#.####.#.#.#####..#.#..#.#..#####.##.###...#..#..###...###.#.#####.###.#..#.#.#.#....###...#.#.....##.#.##...##.#.##..###..###.###.#.####.#.#.#####..#.#..#.#..#####.##.###...#..#..###...###.#.#####.###.#..#.#.#.#....###...#.#.....##.#.##...##.#.##..###..###.###.#.####.#.#.#####..#.#..#.#..#####.##.###...#..#..###...###.#.#####.###.#..#.#.#.#....###...#.#.....##.#.##...##.#.##..###..###.###.#.####.#.#.#####..#.#..#.#..#####.##.###...#..#..###...###.#.#####.###.#..#.#.#.#....###...#.#.....##.#.##...##.#.##..###..###.###.#.####.#.#.#####..#.#..#.#..#####.##.###...#..#..###...###.#.#####.###.#..#.#.#.#....###...#.#.....##.#.##...##.#.##..###..###.###.#.####.#.#.#####..#.#..#.#..#####.##.###...#..#..###...###.#.#####.###.#..#.#.#.#
..########.##.#...######......#.#.##.##.#.....#..##..###....#####......#.#.####....##..##..###.#.#........####.######..##...#.##..##..#.###..###..#....#..#........##.###......#..##..#..#..#.##...#.##.#.....##.##..#.#....##.....#.....#..#......#.##.#.....###..#.#.##.#######...#.#.#.###...######.....####.##.###......#.#.#####.##..#.#.#####.#..#.##..#.#...#####..##..####....#.##.#.....###..#.#.##.#######...#.#.#.###...######.....####.##.###......#.#.#####.##..#.#.#####.#..#.##..#.#...#####..##..####....#.##.#.....###..#.#.##.#######...#.#.#.###...######.....####.##.###......#.#.#####.##..#.#.#####.#..#.##..#.#...#####..##..####....#.##.#.....###..#.#.##.#######...#.#.#.###...######.....####.##.###......#.#.#####.##..#.#.#####.#..#.##..#.#...#####..##..####....#.##.#.....###..#.#.##.#######...#.#.#.###...######.....####.##.###......#.#.#####.##..#.#.#####.#..#.##..#.#...#####..##..####....#.##.#.....###..#.#.##.#######...#.#.#.###...######.....####.##.###......#.#.#####.##..#.#.#####.#..#.
..#.#..##..#.#..##...#.#..##.....##.##.######......##....##..#.###.##..#..##.#..#.#.#.####..##..#...#..#.##..#####.#.#.##..#..#####.....#.#...###..#..#.##.####..##..##..########.#....#..##.....#.####...##.#.#.#.###.###.##.###...#.....#.#.#.#..#.#...##....#.....###..#.#..#.#.#.#.##.##...#..#.#.#.#.#.##...####.#...##.#..#.####...##.##.#...##...#...#.#.###..##.#.##.##.###...#.#...##....#.....###..#.#..#.#.#.#.##.##...#..#.#.#.#.#.##...####.#...##.#..#.####...##.##.#...##...#...#.#.###..##.#.##.##.###...#.#...##....#.....###..#.#..#.#.#.#.##.##...#..#.#.#.#.#.##...####.#...##.#..#.####...##.##.#...##...#...#.#.###..##.#.##.##.###...#.#...##....#.....###..#.#..#.#.#.#.##.##...#..#.#.#.#.#.##...####.#...##.#..#.####...##.##.#...##...#...#.#.###..##.#.##.##.###...#.#...##....#.....###..#.#..#.#.#.#.##.##...#..#.#.#.#.#.##...####.#...##.#..#.####...##.##.#...##...#...#.#.###..##.#.##.##.###...#.#...##....#.....###..#.#..#.#.#.#.##.##...#..#.#.#.#.#.##...####.#...##.#..#.####...##.##.#...##...#
###.##.##..#...#...#.##.##..##.#.#...#.#.#...#.###....####........###.#..##...#.###.#..####..##..###..###.##..#.###..##.......#.#.#...#.##...#..#.####...####.##.#.####..#.######..#.#...#...##.##....##.#.#.#.....##.###..###.#.##..#..#....#####..#..##..#.##..#.#....#######.....##..#.....##..#....######.#.........###.##.#.#.#...#...#########.##.####...##.#....#.#..#..##..##..#..##..#.##..#.#....#######.....##..#.....##..#....######.#.........###.##.#.#.#...#...#########.##.####...##.#....#.#..#..##..##..#..##..#.##..#.#....#######.....##..#.....##..#....######.#.........###.##.#.#.#...#...#########.##.####...##.#....#.#..#..##..##..#..##..#.##..#.#....#######.....##..#.....##..#....######.#.........###.##.#.#.#...#...#########.##.####...##.#....#.#..#..##..##..#..##..#.##..#.#....#######.....##..#.....##..#....######.#.........###.##.#.#.#...#...#########.##.####...##.#....#.#..#..##..##..#..##..#.##..#.#....#######.....##..#.....##..#....######.#.........###.##.#.#.#...#...#########.##.#
...##.##.##..###.####.###.#...###.##..##..#.#.##..##..##....###.#...##...##...########...##..#.....#....#.#..#.#.###.######.###.##.#.#####...##...#...##.....#.#.##.##..##...#...#.#.###.....###..###..####.....###..#..#....#..#.##....#....##..####....##.#####.#..####..##.##....##.##.#...##....#..####..#.#.##.####..#....##.#...#....#.#.#..##.#....#.....##.#......#...#..#.#####....##.#####.#..####..##.##....##.##.#...##....#..####..#.#.##.####..#....##.#...#....#.#.#..##.#....#.....##.#......#...#..#.#####....##.#####.#..####..##.##....##.##.#...##....#..####..#.#.##.####..#....##.#...#....#.#.#..##.#....#.....##.#......#...#..#.#####....##.#####.#..####..##.##....##.##.#...##....#..####..#.#.##.####..#....##.#...#....#.#.#..##.#....#.....##.#......#...#..#.#####....##.#####.#..####..##.##....##.##.#...##....#..####..#.#.##.####..#....##.#...#....#.#.#..##.#....#.....##.#......#...#..#.#####....##.#####.#..####..##.##....##.##.#...##....#..####..#.#.##.####..#....##.#...#....#.#.#..##.#...
...#.##.##..#..##..#.#.#......###.#.##.##..##.....#...##..##.#...####.##...#.#.#.#....####..#.#.#.##.#....#.#...#....####.###.#..##..######.##.#.#..#.#####.#..#.####..#####.#......##.##.###....###..#...#.#####.##.##.##.#...#...#...#..#.##.##..########.#..#..#####.##....#...##.###...#.#..##...########.######.#...##..###.##...#..##...###...#..##.#.#..##.#.###.#...#..#.##...########.#..#..#####.##....#...##.###...#.#..##...########.######.#...##..###.##...#..##...###...#..##.#.#..##.#.###.#...#..#.##...########.#..#..#####.##....#...##.###...#.#..##...########.######.#...##..###.##...#..##...###...#..##.#.#..##.#.###.#...#..#.##...########.#..#..#####.##....#...##.###...#.#..##...########.######.#...##..###.##...#..##...###...##.##.#.#..##.#.###.#...#..#.##...########.#..#..#####.##....#...##.###...#.#..##...########.######.#...##..###.##...#..##...###...#..##.#.#..##.#.###.#...#..#.##...########.#..#..#####.##....#...##.###...#.#..##...########.######.#...##..###.##...#..##...###...#..##
.####.###.#..#.#.....#.##..##..#..########.#.###.##....#..####..##.#.####.##....#.#####.##..#...#....#..##...#..#.#...######.#..##..####..#.#.##...####..#.#.##########......#.#.###.####....#.#########..#.#...#####...#.##.#..#.#.#.#..###.##.#..##.#...#....#.#...###....##.#####.#...#..#.##.#..#....#..#.#.#.##..#..#..#....##.#.#.........#.##.#..#.##..##.###.##.....##.###.#..##.#...#..#.#.#...###....##.#####.#...#..#.##.#..#....#..#.#.#.##..#..#..#....##.#.#.........#.##.#..#.##..##.###.##.....##.###.#..##.#...#....#.#...###....##.#####.#...#..#.##.#..#....#..#.#.#.##..#..#..#....##.#.#.........#.##.#..#.##..##.###.##.....##.###.#..##.#...#....#.#...###....##.#####.#...#..#.##.#..#....#..#.#.#.##..#..#..#....##.#.#.........#.##.#..#.##..##.###.##.....##.###.#..##.#...#....#.#...###....##.#####.#...#..#.##.#..#....#..#.#.#.##..#..#..#....##.#.#.........#.##.#..#.##..##.###.##.....##.###.#..##.#...#....#.#...###....##.#####.#...#..#.##.#..#....#..#.#.#.##..#..#..#....##.#.#.........#.##.#..#
#..##..##...#.#..###.#.###....##..#..##..##..#.##.##...#.###.#...##...##...#..#.#...#...##.##.##########.##....#...#.#.#.#.........#.#.##.###.#........#.###...##.#..#..#..##.#.##.###..###.#...#.##...#.....#####...#.#.########.#..##....#.#..#########.##..#..#####...#.###..##....#.#.#.#####.#.######..##..#.....#...#..##.#.#.#..###.#.#..##...###.####.###......#...#....#.##########.##..#..#####...#.###..##....#.#.#.#####.#.######..##..#.....#...#..##.#.#.#..###.#.#..##...###.####.###......#...#....#.##########.##..#..#####...#.###..##....#.#.#.#####.#.######..##..#.....#...#..##.#.#.#..###.#.#..##...###.####.###......#...#....#.##########.##..#..#####...#.###..##....#.#.#.#####.#.######..##..#.....#...#..##.#.#.#..###.#.#..##...###.####.###......#...#....#.##########.##..#..#####...#.###..##....#.#.#.#####.#.######..##..#.....#...#..##.#.#.#..###.#.#..##...###.####.###......#...#....#.##########.##..#..#####...#.###..##....#.#.#.#####.#.######..##..#.....#...#..##.#.#.#..###.#.#..##...###.
######.#...#.##.#.....##.#.#.#...#.###.###..#.##.#.#...##....#..##...#.##.###...#.####...#..##..#...#..#.###.#...#..#######.#.##..#....#.###..##...##.#.########.#.###.###.#..........###..###.......#####..###.#.....##..##..###..##.#......##..####...##.#.....###.#...#.#.........###.###......#.##.###.##.#.#...#...#...#...##.#.##.##.#..#..##.#.###.##....#.##.#.....#....##.#####...##.#.....###.#...#.#.........###.###......#.##.###.##.#.#...#...#...#...##.#.##.##.#..#..##.#.###.##....#.##.#.....#....##.#####...##.#.....###.#...#.#.........###.###......#.##.###.##.#.#...#...#...#...##.#.##.##.#..#..##.#.###.##....#.##.#.....#....##.#####...##.#.....###.#...#.#.........###.###......#.##.###.##.#.#...#...#...#...##.#.##.##.#..#..##.#.###.##....#.##.#.....#....##.#####...##.#.....###.#...#.#.........###.###......#.##.###.##.#.#...#...#...#...##.#.##.##.#..#..##.#.###.##....#.##.#.....#....##.#####...##.#.....###.#...#.#.........###.###......#.##.###.##.#.#...#...#...#...##.#.##.##.#..#..##.#.###
.#..#..##.###..#..#.###.####...#.#..#.##.#..#...#.#.##..#...####...#..##.####..#.....##.###.#.##..#.##.#..##.##.#.##.#.#..#.....###.#.#.####..##.#...#.####.#.#.....#.#.#.#.####....#....##....###.##.##..#.##...#.#.#.#...##..###...#..#..###.##..####.###..#.###.##.#.#####...###.##...#..##.####.#####.##...####..#######...#.#..####.##..##..##.#...##.#..#....#.######..#.##.....####.###..#.###.##.#.#####...###.##...#..##.####.#####.##...####..#######...#.#..####.##..##..##.#...##.#..#....#.######..#.##.....####.###..#.###.##.#.#####...###.##...#..##.####.#####.##...####..#######...#.#..####.##..##..##.#...##.#..#....#.######..#.##.....####.###..#.###.##.#.#####...###.##...#..##.####.#####.##...####..#######...#.#..####.##..##..##.#...##.#..#....#.######..#.##.....####.###..#.###.##.#.#####...###.##...#..##.####.#####.##...####..#######...#.#..####.##..##..##.#...##.#..#....#.######..#.##.....####.###..#.###.##.#.#####...###.##...#..##.####.#####.##...####..#######...#.#..####.##..##..##.#...#
#.#.##....#.....#...##..#########..#..#..#.###.....###.#.###..#..###.#.#.##..#####..##..#.##..#.##.###....#..#...####.#.#...###.#....###.#..###....####.#.#.....#....#....#.#...####.##..##...#.#...##..###......#.###.####.##..#.....#####.#.....#.##..########.#..##..######..#.#....####.#.#...######......#....##.#.#.##.##.#.#.###..##.#...#..#.##....##.#.#.##.....#...##.##.#.#.##..########.#..##..######..#.#....####.#.#...######......#....##.#.#.##.##.#.#.###..##.#...#..#.##....##.#.#.##.....#...##.##.#.#.##..########.#..##..######..#.#....####.#.#...######......#....##.#.#.##.##.#.#.###..##.#...#..#.##....##.#.#.##.....#...##.##.#.#.##..########.#..##..######..#.#....####.#.#...######......#....##.#.#.##.##.#.#.###..##.#...#..#.##....##.#.#.##.....#...##.##.#.#.##..########.#..##..######..#.#....####.#.#...######......#....##.#.#.##.##.#.#.###..##.#...#..#.##....##.#.#.##.....#...##.##.#.#.##..########.#..##..######..#.#....####.#.#...######......#....##.#.#.##.##.#.#.###..##.#...#..#.##..
.###..#.#...#..####.#.###.#.#..#.#.#.#....#...#.#.#.##.#.####.#.##..##..#####.##..####..##.#.###.##.#.#.#........##.#####....#.#..###.##..###...#.#....####...##.###.#######.#.#..#..#...##..####..##....###.##.#.#####..#.###..##.#.#.##.#.##..#..#.....###.##.##.##...#.####.###....##...####.####....##.#####.#..#..#####...#...#.###...###..#..######....########...##..#.#.#.#...#.....###.##.##.##...#.####.###....##...####.####....##.#####.#..#..#####...#...#.###...###..#..######....########...##..#.#.#.#...#.....###.##.##.##...#.####.###....##...####.####....##.#####.#..#..#####...#...#.###...###..#..######....########...##..#.#.#.#...#.....###.##.##.##...#.####.###....##...####.####....##.#####.#..#..#####...#...#.###...###..#..######....########...##..#.#.#.#...#.....###.#####.##...#.####.###....##...####.####....##.#####.#..#..#####...#...#.###...###..#..######....########...##..#.#.#.#...#.....###.##.##.##...#.####.###....##...####.####....##.#####.#..#..#####...#...#.###...###..#..######
#......#####...####.#....##...#.###.###.#.##.#...#.#.##..##..##..#...#.###..#...#...##....#.####..###..###...#...#..###..#####.##########.##.#...##.#.#.#..#.#...###.#.##.##..##.#..##....#.###.#...#.#.###...#...#.#..##..##..#...##..#..#..#.....#.##.#.###.........###.#..###.##......#######.##.#.###.##.#.##.#.....#..######.##....###..#.#..##.#...##.###..###..#.........#..#..#.##.#.###.........###.#..###.##......#######.##.#.###.##.#.##.#.....#..###.##.##....###..#.#..##.#...##.###..###..#.........#..#..#.##.#.###.........###.#..###.##......#######.##.#.###.##.#.##.#.....#..###.##.##....###..#.#..##.#...##.###..###..#.........#..#..#.##.#.###.........###.#..###.##......#######.##.#.###.##.#.##.#.....#..###.##.##....###..#.#..##.#...##.###..###..#.........#..#..#.##.#.###.........###.#..###.##......#######.##.#.###.##.#.##.#.....#..###.##.##....###..#.#..##.#...##.###..###..#.........#..#..#.##.#.###.........###.#..###.##......#######.##.#.###.##.#.##.#.....#..###.##.##....###..#.#..##.#...
.##..##.#.#..#.##...#.#.......#.##....#####...#..##....#.##...##.#.#..#..###.###..#.#.#.######.#...####.#.........#..#.#.#.#.#####....##..##...##.##.##.#####.....#..##.###.#.#.#.#..##...##.#..#..#.##...##.##..#.#.###...##..#.###.####....##.#.#.....###.##.#.....#...###.###.##.#.###..###.#.......##..#.#.....#.###.##...#.....#.#..##..#.###.##...#.#..###...##.####.#..##.....#.....###.##.#.....#...###.###.##.#.###..###.#.......##..#.#.....#.###.##...#.....#.#..##..#.###.##...#.#..###...##.####.#..##.....#.....###.##.#.....#...###.###.##.#.###..###.#.......##..#.#.....#.###.##...#.....#.#..##..#.###.##...#.#..###...##.####.#..##.....#.....###.##.#.....#...###.###.##.#.###..###.#.......##..#.#.....#.###.##...#.....#.#..##..#.###.##...#.#..###...##.####.#..##.....#.....###.##.#.....#...###.###.##.#.###..###.#.......##..#.#.....#.###.##...#.....#.#..##..#.###.##...#.#..###...##.####.#..##.....#.....###.##.#.....#...###.###.##.#.###..###.#.......##..#.#.....#.###.##...#.....#.#..##..#.###.##...#
##.##..######..#.###.#.#####.##.#..#####.##....##.###..##.#.#.#....#.#.######.#..#......##...#..#...######..#....####.##..####.#..####.##.#.......#...##.##..#.#.##.#..###.###..#####.#...##...####.#...###.####...#...###..#.##...#...###.#.##.##..#.###.####...#####...#..###..#.#....####.#...#.#.#...#..###.###.##......##.....#...##.#.......###.#.#.##...##.....#...##.#.##..##..#.###.####...#####...#..###..#.#....####.#...#.#.#...#..###.###.##......##.....#...##.#.......###.#.#.##...##.....#...##.#.##..##..#.###.####...#####...#..###..#.#....####.#...#.#.#...#..###.###.##......##.....#...##.#.......###.#.#.##...##.....#...##.#.##..##..#.###.####...#####...#..###..#.#....####.#...#.#.#...#..###.###.##......##.....#...##.#.......###.#.#.##...##.....#...##.#.##..##..#.###.####...#####...#..###..#.#....####.#...#.#.#...#..###.###.##......##.....#...##.#.......###.#.#.##...##.....#...##.#.##..##..#.###.####...#####...#..###..#.#....####.#...#.#.#...#..###.###.##......##.....#...##.#.......###.#.#
.##....##....##..#.####.#.####.#.#..#.#.#.#.##.#.#####.##.#.#..##.#.#....##.#####.##.##......###..#..###..##...#...##.#.##.##.####...#...#.#.#####..#...#.##..#.#.#.#.##..#.#..#..#..#.#....#.#..#..#..##...####...#.##.#..##..####.####..###...#..#.##..#.....##..#...######....#....##...###..#.#.###.#.##.###.##.....##..##..####..##.####..###....#####.#####.#.###.#.####.###.#..#.##..#.....##..#...######....#....##...###..#.#.###.#.##.###.##.....##..##..####..##.####..###....#####.#####.#.###.#.####.###.#..#.##..#.....##..#...######....#....##...###..#.#.###.#.##.###.##.....##..##..####..##.####..###....#####.#####.#.###.#.####.###.#..#.##..#.....##..#...######....#....##...###..#.#.###.#.##.###.##.....##..##..####..##.####..###....#####.#####.#.###.#.####.###.#..#.##..#.....##..#...######....#....##...###..#.#.###.#.##.###.##.....##..##..####..##.####..###....#####.#####.#.###.#.####.###.#..#.##..#.....##..#...######....#....##...###..#.#.###.#.##.###.##.....##..##..####..##.####..###....###
#####.##..#....#.###..#.####..#.#.#.###.#.#.##.#.#.##.#.#..####.##.##.##...######.......#...###.#.###.##.###.#.#..#..#.#..#.#..##.###.#......##..#.#.##.#.##..........#..##.#..#...#..###.#.####.#.##.#.#.####..###....##..###.#.#.#####.#.#........##.#####....##...##..##.#####..###...#.#..#.....###.#####..#...###.##...##.###.#...###...#.###..#.##...##.##..#....#.##..#..##.#...##.#####....##...##..##.#####..###...#.#..#.....###.#####..#...###.##...##.###.#...###...#.###..#.##...##.##..#....#.##..#..##.#...##.#####....##...##..##.#####..###...#.#..#.....###.#####..#...###.##...##.###.#...###...#.###..#.##...##.##..#....#.##..#..##.#...##.#####....##...##..##.#####..###...#.#..#.....###.#####..#...###.##...##.###.#...###...#.###..#.##...##.##..#....#.##..#..##.#...##.#####....##...##..##.#####..###...#.#..#.....###.#####..#...###.##...##.###.#...###...#.###..#.##...##.##..#....#.##..#..##.#...##.#####....##...##..##.#####..###...#.#..#.....###.#####..#...###.##...##.###.#...###...#.###..#.##.
.###...##..#.##....###...#.##...#........###.##..#.##.#.##...........#..##..#.#..#......#....#.##...##..###..#.##.##.#####.....##.#.##..####...##.#.....#.#.#.#.#####...##..#.####...#.##.#.##..##..#.#....##.##.####..##..#.##..##....######...#...##.###.#.####.#########..###..#..#.####.#####....#..#..######..#.##.#....#..####..##...####.#..###.####...##..#######.##....#......##.###.#.####.#########..###..#..#.####.#####....#..#..######..#.##.#....#..####..##...####.#..###.####...##..#######.##....#......##.###.#.####.#########..###..#..#.####.#####....#..#..######..#.##.#....#..####..##...####.#..###.####...##..#######.##....#......##.###.#.####.#########..###..#..#.####.#####....#..#..######..#.##.#....#..####..##...####.#..###.####...##..#######.##....#......##.###.#.####.#########..###..#..#.####.#####....#..#..######..#.##.#....#..####..##...####.#..###.####...##..#######.##....#......##.###.#.####.#########..###..#..#.####.#####....#..#..######..#.##.#....#..####..##...####.#..###.##
#..#.##.####..#.##...#.#.#....#.#####..#....##.##..#.##.##.#.########...##.#.#.#.#..#.#.#......##...##.#.#.##.#.#....##.#....#...####..#...###.....#.#...#.##.##..#.##.##..#.#.....##.#.##..##...##..#..###.##.#..#..#####..#.#.###.....###....#....#..##.#.#.#.#.###..#..##.##.#..#.##..#.###...##.##.#####.#.#..#.##.###...##....###......##.......##...##...#.##.#...####..#....#...#..##.#.#.#.#.###..#..##.##.#..#.##..#.###...##.##.#####.#.#..#.##.###...##....###......##.......##...##...#.##.#...####..#....#...#..##.#.#.#.#.###..#..##.##.#..#.##..#.###...##.##.#####.#.#..#.##.###...##....###......##.......##...##...#.##.#...####..#....#...#..##.#.#.#.#.###..#..##.##.#..#.##..#.###...##.##.#####.#.#..#.##.###...##....###......##.......##...##...#.##.#...####..#....#...#..##.#.#.#.#.###..#..##.##.#..#.##..#.###...##.##.#####.#.#..#.##.###...##....###......##.......##...##...#.##.#...####..#....#...#..##.#.#.#.#.###..#..##.##.#..#.##..#.###...##.##.#####.#.#..#.##.###...##....###......##.......##..
...##..###.####.##.##..####.######.##.#.###.##..#.#.#.#####..###.#..#.#..#..#...##..#####.##.##.#.#..#...#..#..#.##..#...####..#....###...##.###..###..###.#####.####.#..#.#.##.##..##..#.##.#.#.#....##...####.##.#...#...#.#.##.#..######.##.......##..##.#######..##.#.#..#....#.##.....#.##....#...#..#.#..#.##...#..#...###...##..###.####.##....#.#####.##..#.##...##.####........##..##.#######..##.#.#..#....#.##.....#.##....#...#..#.#..#.##...#..#...###...##..###.####.##....#.#####.##..#.##...##.####........##..##.#######..##.#.#..#....#.##.....#.##....#...#..#.#..#.##...#..#...###...##..###.####.##....#.#####.##..#.##...##.####........##..##.#######..##.#.#..#....#.##.....#.##....#...#..#.#..#.##...#..#...###...##..###.####.##....#.#####.##..#.##...##.####........##..##.#######..##.#.#..#....#.##.....#.##....#...#..#.#..#.##...#..#...###...##..###.####.##....#.#####.##..#.##...##.####........##..##.#######..##.#.#..#....#.##.....#.##....#...#..#.#..#.##...#..#...###...##..###.####.##....#.#
#####.#..#..#.#..#..####.#..##...#.##.##..#..#....##..#.#####...#.##.#..###.#.##.#.###..#.#..#...###.###.##..#.####.##.##.#.#...######.#.#####....####.##.####...#.#...####.##.......###..##.#.#..###..#..#.####.##..#...#.######..#.#.#...####.....####.#....##..###..###.#..#..#.##..###.#.##..#...#...#..#.....##....#.##...####.#.##.#...#...#..#.#....#..###..###....#...#...#....####.#....##..###..###.#..#..#.##..###.#.##..#...#...#..#.....##....#.##...####.#.##.#...#...#..#.#....#..###..###....#...#...#....####.#....##..###..###.#..#..#.##..###.#.##..#...#...#..#.....##....#.##...####.#.##.#...#...#..#.#....#..###..###....#...#...#....####.#....##..###..###.#..#..#.##..###.#.##..#...#...#..#.....##....#.##...####.#.##.#...#...#..#.#....#..###..###....#...#...#....####.#....##..###..###.#..#..#.##..###.#.##..#...#...#..#.....##....#.##...####.#.##.#...#...#..#.#....#..###..###....#...#...#....####.#....##..###..###.#..#..#.##..###.#.##..#...#...#..#.....##....#.##...####.#.##.#...#...#..#.#..
..##.#####...#..##...#.......####..###..#####...#.#####..##.#.#.##.#.#.#......#.#..##.###.#....#..#...##...###..#...##.#...####.##...##...##..#...##.#.#.#...#..##.##..#.#####....######..##.#####.#.##.##.....###..#...#...#...###....##.#.###.#.#....##.####.#.###.##.....#...###...#......#.#.#.#####.#.#..#.##..#.#..###.#.###..#..#..####.####.......##..#.##.#.##.#.######.....#....##.####.#.###.##.....#...###...#......#.#.#.#####.#.#..#.##..#.#..###.#.###..#..#..####.####.......##..#.##.#.##.#.######.....#....##.####.#.###.##.....#...###...#......#.#.#.#####.#.#..#.##..#.#..###.#.###..#..#..####.####.......##..#.##.#.##.#.######.....#....##.####.#.###.##.....#...###...#......#.#.#.#####.#.#..#.##..#.#..###.#.###..#..#..####.####.......##..#.##.#.##.#.######.....#....##.####.#.###.##.....#...###...#......#.#.#.#####.#.#..#.##..#.#..###.#.###..#..#..####.####.......##..#.##.#.##.#.######.....#....##.####.#.###.##.....#...###...#......#.#.#.#####.#.#..#.##..#.#..###.#.###..#..#..####.####......
##..##.##.....##......##.#.#.#..##.##.#..#..#...#####.####.###...###.#....###....#....#....##..#.#.#.##..####.#..###.#...#.###.#####..#.###..#.##.#.#..#....##..#....#.###.#.#.##.#.#.####.##.......#..#...##.######.##....#....##.#....#...#..##.#..##.###.......##.#.##....##.#....#..#.###.#####..#.#..#######..#...##.##.#.##.####.#...#..######.#######...#.###....##.###..##.#.#..##.###.......##.#.##....##.#....#..#.###.#####..#.#..#######..#...##.##.####.####.#...#..######.#######...#.###....##.###..##.#.#..##.###.......##.#.##....##.#....#..#.###.#####..#.#..#######..#...##.##.#.##.####.#...#..######.#######...#.###....##.###..##.#.#..##.###.......##.#.##....##.#....#..#.###.#####..#.#..#######..#...##.##.#.##.####.#...#..######.#######...#.###....##.###..##.#.#..##.###.......##.#.##....##.#....#..#.###.#####..#.#..#######..#...##.##.#.##.####.#...#..######.#######...#.###....##.###..##.#.#..##.###.......##.#.##....##.#....#..#.###.#####..#.#..#######..#...##.##.#.##.####.#...#..######.####
#...#.#..#.###.####..##..#.##...#..###........##..#.##.###..##.#.#..##.#..######....#.#.##..#..#..##...##..##..#...##..#.#..#..##.#.#.##...#.....#..####.###..##.###..#..#...#.####.#.##.#.##.#.########...##..#.###.....#.#...##.##.##.###.#.##.###.#..##.##...#.#.####.####.#...#...#...###.###.#.#.###...##.##...#..#.#.##...#...#....#.#.#####..##....#.#.#.#.#####...####.###.####.#..##.##...#.#.####.####.#...#...#...###.###.#.#.###...##.##...#..#.#.##...#...#....#.#.#####..##....#.#.#.#.#####...####.###.####.#..##.##...#.#.####.####.#...#...#...###.###.#.#.###...##.##...#..#.#.##...#...#....#.#.#####..##....#.#.#.#.#####...####.###.####.#..##.##...#.#.####.####.#...#...#...###.###.#.#.###...##.##...#..#.#.##...#...#....#.#.#####..##....#.#.#.#.#####...####.###.####.#..##.##...#.#.####.####.#...#...#...###.###.#.#.###...##.##...#..#.#.##...#...#....#.#.#####..##....#.#.#.#.#####...####.###.####.#..##.##...#.#.####.####.#...#...#...###.###.#.#.###...##.##...#..#.#.##...#...#....#.#.#####..##...
..#..##...#..#...##..#..#######.#.#.##.###..#..#.##.........#..#..#.#####..####...#....###..##..#.#....#..#.##..#....###############.###.######.#.#.#.#.#..####....#####....###.#.....#..#.##...###...#.##..#.#.#...#..#.###....#.##.#..###..#.....#....#..#.###.......##....#####...####.#..####...#.#..####.#.#....##.#....##.#....##.##.....##.#.###.#.#...####.##.#...#.#.###.#...#....#..#.###.......##....#####...####.#..####...#.#..####.#.#....##.#....##.#....##.##.....##.#.###.#.#...####.##.#...#.#.###.#...#....#..#.###.......##....#####...####.#..####...#.#..####.#.#....##.#....##.#....##.##.....##.#.###.#.#...####.##.#...#.#.###.#...#....#..#.###.......##....#####...####.#..####...#.#..####.#.#....##.#....##.#....##.##.....##.#.###.#.#...####.##.#...#.#.###.#...#....#..#.###.......##....#####...####.#..####...#.#..####.#.#....##.#....##.#....##.##.....##.#.###.#.#...####.##.#...#.#.###.#...#....#..#.###.......##....#####...####.#..####...#.#..####.#.#....##.#....##.#....##.##.....##.#.###.#
##...#...#.....##.#.##.#####.##....##...#...##.#.....##...#.###.####..##.#......#..#...#######...###.#.#.##.#####.###..#.##.##......###.##.##.#..#...#####.#.###.#.##.##..##...##.##.#.#########...####.#.####.#..#.#..##..#.....#.####..#..#..##.#.##..#.#.##.#..#########..##.#..#.####.#.#...#..##.##..#.#.#.#.##.#.####..##.#.#.#.##..######.###.......##..#...#.##.#.##.#.#.##..#.##..#.#.##.#..#########..##.#..#.####.#.#...#..##.##..#.#.#.#.##.#.####..##.#.#.#.##..######.###.......##..#...#.##.#.##.#.#.##..#.##..#.#.##.#..#########..##.#..#.####.#.#...#..##.##..#.#.#.#.##.#.####..##.#.#.#.##..######.###.......##..#...#.##.#.##.#.#.##..#.##..#.#.##.#..#########..##.#..#.####.#.#...#..##.##..#.#.#.#.##.#.####..##.#.#.#.##..######.###.......##..#...#.##.#.##.#.#.##..#.##..#.#.##.#..#########..##.#..#.####.#.#...#..##.##..#.#.#.#.##.#.####..##.#.#.#.##..######.###.......##..#...#.##.#.##.#.#.##..#.##..#.#.##.#..#########..##.#..#.####.#.#...#..##.##..#.#.#.#.##.#.####..##.#.#.#.##..######.###.....
.##.#......#...#...###..##.#..##.##..##..##.#.##.#..#...###.##.##.##.##.#.#......#..#####........#.#.#########.##.#.#..##.####....##..###.#.#.#.##.##.#..#..###.##.##.##.#..##.##..#.##..#..##.#.#.##...#......#.#.##..#####.##.#.....#.#.##.####.####.##.##..###..##..###..#######..##...#....#.#.#.#....###..#####.#.#####.###.###.....##....##...##.###....#...##.#####.#...#...#.####.##.##..###..##..###..#######..##...#....#.#.#.#....###..#####.#.#####.###.###.....##....##...##.###....#...##.#####.#...#...#.####.##.##..###..##..###..#######..##...#....#.#.#.#....###..#####.#.#####.###.###.....##....##...##.###....#...##.#####.#...#...#.####.##.##..###..##..###..#######..##...#....#.#.#.#....###..#####.#.#####.###.###.....##....##...##.###....#...##.#####.#...#...#.####.##.##..###..##..###..#######..##...#....#.#.#.#....###..#####.#.#####.###.###.....##....##...##.###....#...##.#####.#...#...#.####.##.##..###..##..###..#######..##...#....#.#.#.#....###..#####.#.#####.###.###.....##....##...##.##
...##.#.##.....##..##.####.####...##.##.###.#.##..#....#..#.##.####..##.###.##.......##...#.##...##.#......#####.#.##..##########..#...#.####..#.#.##..##.#.#..##.#...######.#..#....###.#.######...##.##.#..#...##.#.##.#.#.#..#.#.##....#...##.#.#..###.....####.####..#...#.....###.###.####.###.#.#.#....#..#..##..#.##.#.##..#.#####....#.######.#.......#.....#...#..#.#.##.###.#..###.....####.####..#...#.....###.###.####.###.#.#.##...#..#..##..#.##.#.##..#.#####....#.######.#.......#.....#...#..#.#.##.###.#..###.....####.####..#...#.....###.###.####.###.#.#.#....#..#..##..#.##.#.##..#.#####....#.######.#.......#.....#...#..#.#.##.###.#..###.....####.####..#...#.....###.###.####.###.#.#.#....#..#..##..#.##.#.##..#.#####....#.######.#.......#.....#...#..#.#.##.###.#..###.....####.####..#...#.....###.###.####.###.#.#.#....#..#..##..#.##.#.##..#.#####....#.######.#.......#.....#...#..#.#.##.###.#..###.....####.####..#...#.....###.###.####.###.#.#.#....#..#..##..#.##.#.##..#.#####....#.######.#..
.....#####..#.##..##..#..#..######.######.#...#..#.###.#.#....#.##...#.#...##..##..##....##.####..#.#..#.##.....#..###.###.#.#......##..##.#...###..#.#.#.###..###.##.##....####...##########..##.#..####.#..###...#..#..#...#....#..##...#.####....###...#.#..#..##.#...####.#.#......#.###..####....##.##...##..##.##..##.#.##.#.###.#.####.#.#######.....#.#....#...#.#.###...##....###...#.#..#..##.#...####.#.#......#.###..####....##.##...##..##.##..##.#.##.#.###.#.####.#.#######.....#.#....#...#.#.###...##....###...#.#..#..##.#...####.#.#......#.###..####....##.##...##..##.##..##.#.##.#.###.#.####.#.#######.....#.#....#...#.#.###...##....###...#.#..#..##.#...####.#.#......#.###..####....##.##...##..##.##..##.#.##.#.###.#.####.#.#######.....#.#....#...#.#.###...##....###...#.#..#..##.#...####.#.#......#.###..####....##.##.#.##..##.##..##.#.##.#.###.#.####.#.#######.....#.#....#...#.#.###...##....###...#.#..#..##.#...####.#.#......#.###..####....##.##...##..##.##..##.#.##.#.###.#.####.#.#######..
#..###...#.##.######....##.#......##...####.#.##..#..##.##..##..#.#########.######.#.####..#...##.#..##.#.#.#.###.#........###....###...#...#......##..#..#.##..#.##...###..#..#.#.#.#.#..#....#..#.###..###..####..#..#..##..##..#..##.######.##.#....####.#####.#########..##..#.###.###..#.#.###.#.#####.##..#.##..#..#.##.###..#..#.#.#...##..#.##.#..#####....#.#..##..#..####..#....####.#####.#########..##..#.###.###..#.#.###.#.#####.##..#.##..#..#.##.###..#..#.#.#...##..#.##.#..#####....#.#..##..#..####..#....####.#####.#########..##..#.###.###..#.#.###.#.#####.##..#.##..#..#.##.###..#..#.#.#...##..#.##.#..#####....#.#..##..#..####..#....####.#####.#########..##..#.###.###..#.#.###.#.#####.##..#.##..#..#.##.###..#..#.#.#...##..#.##.#..#####....#.#..##..#..####..#....####.#####.#########..##..#.###.###..#.#.###.#.#####.##..#.##..#..#.##.###..#..#.#.#...##..#.##.#..#####....#.#..##..#..####..#....####.#####.#########..##..#.###.###..#.#.###.#.#####.##..#.##..#..#.##.###..#..#.#.#...##..#.##.#.
####...#....#.#......#####.##.##.#.#.##..#..###..#..#..#..##..#####.#.#..######.##..##.########.....#.#.##...#.#.#...##..##.#...#....#.#.....##.###....###..#......#.####..#......#.##..#......###.#.#..##..#.#####.......###..#...##..##....#.###.#..#...####.####.....##..#.####..#....####..#...#####.##.#.####.#....#.#.######..#.##.#.....#.####..#..##..#.##...#..#..####..####.#..#...####.####.....##..#.####..#....####..#...#####.##.#.####.#....#.#.######..#.##.#.....#.####..#..##..#.##...#..#..####..####.#..#...####.####.....##..#.####..#....####..#...#####.##.#.####.#....#.#.######..#.##.#.....#.####..#..##..#.##...#..#..####..####.#..#...####.####.....##..#.####..#....####..#...#####.##.#.####.#....#.#.######..#.##.#.....#.####..#..##..#.##...#..#..####..####.#..#...####.####.....##..#.####..#....####..#...#####.##.#.####.#....#.#.######..#.##.#.....#.####..#..##..#.##...#..#..####..####.#..#...####.####.....##..#.####..#....####..#...#####.##.#.####.#....#.#.######..#.##.#.....#.####..#.
..##..###.##..#...##..#####..##.##.##..#..######.#....#..#.##..####.#.###.#.##.#.#.###..#..##.#....##.##...##.#.##..#.#...####..##.....#.#..#..#..###...#.#...####.#...#..###..#..#......#.###.##.###...##.#.#.......#...####..##...##.#..#.#.###.##.#.#..#.#####....###..####.#.####.##...#.#.#..##.....###...##.#...#.##..#..##.#....###.##.##.....###.##.###.#....#####...#..#.##.##.#.#..#.#####....###..####.#.####.##...#.#.#..##.....###...##.#...#.##..#..##.#....###.##.##.....###.##.###.#....#####...#..#.##.##.#.#..#.#####....###..####.#.####.##...#.#.#..##.....###...##.#...#.##..#..##.#....###.##.##.....###.##.###.#....#####...#..#.##.##.#.#..#.#####....###..####.#.####.##...#.#.#..##.....###...##.#...#.##..#..##.#....###.##.##.....###.##.###.#....#####...#..#.##.##.#.#..#.#####....###..####.#.####.##...#.#.#..##.....###...##.#...#.##..#..##.#....###.##.##.....###.##.###.#....#####...#..#.##.##.#.#..#.#####....###..####.#.####.##...#.#.#..##.....###...##.#...#.##..#..##.#....###.##.##.....###.
.#...###..####.##..#.####.#.##...##.###.#.###..####.......###.##.####..###..#....######.....#..#......#.###.##.##.#.......####.#..#...#.##......#...##...#..#.####..###.#......####.#..##....#.##.#####.######.....#..####.######...##...#.#.##.####.###..##.####..#..#...##.###..#.#.##.##..####.######.##.#.....#...#######.##.###.#.#.#.#.#.#.##....#.##.#...#.#....#.#...#.##.#####.###..##.####..#..#...##.###..#.#.##.##..####.######.##.#.....#...#######.##.###.#.#.#.#.#.#.##....#.##.#...#.#....#.#...#.##.#####.###..##.####..#..#...##.###..#.#.##.##..####.######.##.#.....#...#######.##.###.#.#.#.#.#.#.##....#.##.#...#.#....#.#...#.##.#####.###..##.####..#..#...##.###..#.#.##.##..####.######.##.#.....#...#######.##.###.#.#.#.#.#.#.##....#.##.#...#.#....#.#...#.##.#####.###..##.####..#..#...##.###..#.#.##.##..####.######.##.#.....#...#######.##.###.#.#.#.#.#.#.##....#.##.#...#.#....#.#...#.##.#####.###..##.####..#..#...##.###..#.#.##.##..####.######.##.#.....#...#######.##.###.#.#.#.#.#.#.##....#.
.#..##.##.....##..##...#..####......####.##..........#.###.#.#.####..#..#..#....########.####....#.###.#..###.###....#..#.##....#####..##.###.#.#.##.#..##.##.#..#...##.##.###.#.##..#....#.##...#.#.#.##.#....##...#...#............#.###.###.#..#.#.###.###.#.###.....#...#.##...#...#..##.#.#...#..#..###.###....##..###.###...##.#..#.##....#.#.###.....#.#..###...##..#.#######.#.#.###.###.#.###.....#...#.##...#...#..##.#.#...#..#..###.###....##..###.###...##.#..#.##....#.#.###.....#.#..###...##..#.#######.#.#.###.###.#.###.....#...#.##...#...#..##.#.#...#..#..###.###....##..###.###...##.#..#.##....#.#.###.....#.#..###...##..#.#######.#.#.###.###.#.###.....#...#.##...#...#..##.#.#...#..#..###.###....##..###.###...##.#..#.##....#.#.###.....#.#..###...##..#.#######.#.#.###.###.#.###.....#...#.##...#...#..##.#.#...#..#..###.###....##..###.###...##.#..#.##....#.#.###.....#.#..###...##..#.#######.#.#.###.###.#.###.....#...#.##...#...#..##.#.#...#..#..###.###....##..###.###...##.#..#.##....#.#.###..
#.#....#.#....##.#.##....#..###....#.##.#..#...#.....####....#.##...##...###.#...#...#.....#.#.#.#.#.##.###.#.###.#......#.##.#...##.##....##.....#..#..#.#####.###.#.####.###.#.##.#.##..###..##..###.#.#.#####.......#.##..#.####...##.##......#.#...#...##.###....###...##.......#.##...##..#.#....#...##..#...#..#.##.##.#....#.#.###.##.#......#..#..#..###..##....#.###....#..#.#...#...##.###....###...##.......#.##...##..#.#....#...##..#...#..#.##.##.#....#.#.###.##.#......#..#..#..###..##....#.###....#..#.#...#...##.###....###...##.......#.##...##..#.#....#...##..#...#..#.##.##.#....#.#.###.##.#......#..#..#..###..##....#.###....#..#.#...#...##.###....###...##.......#.##...##..#.#....#...##..#...#..#.##.##.#....#.#.###.##.#......#..#..#..###..##....#.###....#..#.#...#...##.###....###...##.......#.##...##..#.#....#...##..#...#..#.##.##.#....#.#.###.##.#......#..#..#..###..##....#.###....#..#.#...#...##.###....###...##.......#.##...##..#.#....#...##..#...#..#.##.##.#....#.#.###.##.#......#..#.
...#.###....#.####.#..#.#.#.####.#.##.####..####..###..#..#.#.#..#.#.....###.##..#.#..#.##.##...#...#.##..####..##.#..##..#..#.#....###..##.#.....##..###..#######.#.##..###.#...#...#..##....#..#######.##.##.#####..#.#.####.##.##.....#.##..##.##.#..##...#.#...#...##.##...#.###.#.......#...####.#.###....#..##.#..#......##.##.##.##.#.##.#.##....#....###..#.....#.#..#.##.#..##.#..##...#.#...#...##.##...#.###.#.......#...####.#.###....#..##.#..#......##.##.##.##.#.##.#.##....#....###..#.....#.#..#.##.#..##.#..##...#.#...#...##.##...#.###.#.......#...####.#.###....#..##.#..#......##.##.##.##.#.##.#.##....#....###..#.....#.#..#.##.#..##.#..##...#.#...#...##.##...#.###.#.......#...####.#.###....#..##.#..#......##.##.##.##.#.##.#.##....#....###..#.....#.#..#.##.#..##.#..##...#.#...#...##.##...#.###.#.......#...####.#.###....#..##.#..#......##.##.##.##.#.##.#.##....#....###..#.....#.#..#.##.#..##.#..##...#.#...#...##.##...#.###.#.......#...####.#.###....#..##.#..#......##.##.##.##.#.##.#.##....#
.#..##..#.#.#....##..##..###.###..####.##..##..####.#.#.####.#.#...##.##.#...###....#.#..#...#.....##.#.#..###..#..#..##.###...##.#.#.#.###...##.##...###.###.##..#.#.#.#.#.##.#.##.#..##.#.####..####.#.###.########.###..#..#..#....##..#..###.##.#....#..#####..##....##.....#..#.####..##..#.####..#...##.###.#.##.#...##.#.#.##.#####..##..######...#.#######.####.......#.#..###.#....#..#####..##....##.....#..#.####..##..#.####..#...##.###.#.##.#...##.#.#.##.#####..##..######...#.#######.####.......#.#..###.#....#..#####..##....##.....#..#.####..##..#.####..#...##.###.#.##.#...##.#.#.##.#####..##..######...#.#######.####.......#.#..###.#....#..#####..##....##.....#..#.####..##..#.####..#...##.###.#.##.#...##.#.#.##.#####..##..######...#.#######.####.......#.#..###.#....#..#####..##....##.....#..#.####..##..#.####..#...##.###.#.##.#...##.#.#.##.#####..##..######...#.#######.####.......#.#..###.#....#..#####..##....##.....#..#.####..##..#.####..#...##.###.#.##.#...##.#.#.##.#####..##..######...
#.#.##.##...##.######.#####....##.....###....#.......##..##...#..#.##.#.##.#.#.###.##.###.#..##.#.##.##.#.#...###.#.#...#.#.##..##.....##.##.#.#.#######.#..#....#..#..#.#..#..###..#....#....##.##.#...#..##..##..##..###.#######....#.##.###.##..##..#.....####....#......#..#.......##..##.####..##..##.####.#.#.##....#....##.###.##...##.##.##.#.#...###.....##.#...####.##..#...##..#.....####....#......#..#.......##..##.####..##..##.####.#.#.##....#....##.###.##...##.##.##.#.#...###.....##.#...####.##..#...##..#.....####....#......#..#.......##..##.####..##..##.####.#.#.##....#....##.###.##...##.##.##.#.#...###.....##.#...####.##..#...##..#.....####....#......#..#.......##..##.####..##..##.####.#.#.##....#....##.###.##...##.##.##.#.#...###.....##.#...####.##..#...##..#.....####....#......#..#.......##..##.####..##..##.####.#.#.##....#....##.###.##...##.##.##.#.#...###.....##.#...####.##..#...##..#.....####....#......#..#.......##..##.####..##..##.####.#.#.##....#....##.###.##...##.##.##.#.#..
#.#.##.###.......#..#.####.####.#.##..#.#..###.#.##..###.#...#..#.#####.#..##.##...#.###..#....#..#...#....##....#.#.##...##.###..##.#....#..###.#...##..#.##.########.##.##.####.#.##.....####.#.##..###..#...#..#.#.#####...##..#.#..####..###.###.#..#....##...#####..######..#...##.#.##.#####.##..##########...#..##....#.#..#...#.#..##.#..#.....#........#.#.#.....#.##...######.#..#....##...#####..######..#...##.#.##.#####.##..##########...#..##....#.#..#...#.#..##.#..#.....#........#.#.#.....#.##...######.#..#....##...#####..######..#...##.#.##.#####.##..##########...#..##....#.#..#...#.#..##.#..#.....#........#.#.#.....#.##...######.#..#....##...#####..######..#...##.#.##.#####.##..##########...#..##....#.#..#...#.#..##.#..#.....#........#.#.#.....#.##...######.#..#....##...#####..######..#...##.#.##.#####.##..##########...#..##....#.#..#...#.#..##.#..#.....#........#.#.#.....#.##...######.#..#....##...#####..######..#...##.#.##.#####.##..##########...#..##....#.#..#..##.#..##.#..#.....#.
....###....##...##....##...#.#.##.#..####..######.#.###...#.###..###.######.#.#.##.#.#.#.....#.......###.#..###..#.#.##.########.##.#...####..#..#........###.#.#.....####...###..##......##....#.###.#.....###.....#####......#....#.##.#.#.#.#.###.......#..##.....#####.#..##.....#...###..##.######..#.....##.#.##...###.##....###########.##..#.....########..##..#.#..#.###.#.###.......#..##.....#####.#..##.....#...###..##.######..#.....##.#.##...###.##....###########.##..#.....########..##..#.#..#.###.#.###.......#..##.....#####.#..##.....#...###..##.######..#.....##.#.##...###.##....###########.##..#.....########..##..#.#..#.###.#.###.......#..##.....#####.#..##.....#...###..##.######..#.....##.#.##...###.##....###########.##..#.....########..##..#.#..#.###.#.###.......#..##.....#####.#..##.....#...###..##.######..#.....##.#.##...###.##....###########.##..#.....########..##..#.#..#.###.#.###.......#..##.....#####.#..##.....#...###..##.######..#.....##.#.##...###.##....###########.##..#.....
###.###..#####.###....#####..##.#.###.##.#..##..####.#...#.#.#...#.#....#...##.##.#.##..##..#####.....##.#.##..##.#.#....#.##...###...###.#.#..#..##.##.#####..##.....#.######..........###....#.#....##..#.###.#..####.##..####..#...#..#.#..###.##.##..##.##..##......##...#.#..#.###..##..###..#....###.###...####..##..##..####..####.##.##.#.#...#..#.#.##..##..#.#.##.##..###..##.##..##.##..##......##...#.#..#.###..##..###..#....###.###...####..##..##..####..####.##.##.#.#...#..#.#.##..##..#.#.##.##..###..##.##..##.##..##......##...#.#..#.###..##..###..#....###.###...####..##..##..####..####.##.##.#.#...#..#.#.##..##..#.#.##.##..###..##.##..##.##..##......##...#.#..#.###..##..###..#....###.###...####..##..##..####..####.##.##.#.#...#..#.#.##..##..#.#.##.##..###..##.##..##.##..##......##...#.#..#.###..##..###..#....###.###...####..##..##..####..####.##.##.#.#...#..#.#.##..##..#.#.##.##..###..##.##..##.##..##......##...#.#..#.###..##..###..#....###.###...####..##..##..####..####.##.##.#.#...#..
.#..#...#.##.#.####...#.#.#...###.##.#..#.#.#.##......##.#..###.#.####..#.##..##...#..###..##.##.#.##....#...##.##.#.##.#.###..#####.#.##.......###...#..#####.###..#.##.#.#..#..##..####.##.##.#.#.####.#..#.#.##..#....#.#..#.#..#.#..##...##.#..##.#..##..##...##.#.#....##.#.##.##..##..#..#.#..##.#.##...#.######.#..#..#...#..##.##.#.#..#..##.###..##..#####........#..###.##..##.#..##..##...##.#.#....##.#.##.##..##..#..#.#..##.#.##...#.######.#..#..#...#..##.##.#.#..#..##.###..##..#####........#..###.##..##.#..##..##...##.#.#....##.#.##.##..##..#..#.#..##.#.##...#.######.#..#..#...#..##.##.#.#..#..##.###..##..#####........#..###.##..##.#..##..##...##.#.#....##.#.##.##..##..#..#.#..##.#.##...#.######.#..#..#...#..##.##.#.#..#..##.###..##..#####........#..###.##..##.#..##..##...##.#.#....##.#.##.##..##..#..#.#..##.#.##...#.######.#..#..#...#..##.##.#.#..#..##.###..##..#####........#..###.##..##.#..##..##...##.#.#....##.#.##.##..##..#..#.#..##.#.##...#.######.#..#..#...#..##.##.#.#..#..##.###.
.####.####..####..#...#...#..#..#####...##.##.#......#.#........##.##.#.#..#.......#...#.#..##.##...###..#################.##.#....#.#.##.##.#...##.###.###..#####...#.######..##.#.##.#.#..##...#...#####.##...##..#.##.##.#.##.....#...##.#..#.#.#........##.##.###..#..#####...#.######..#.##.####.##..####.##.#..###....#..####..######.############.####....##..##..#####..#####.#........##.##.###..#..#####..##.######..#.##.####.##..####.##.#..###....#..####..######.############.####....##..##..#####..#####.#........##.##.###..#..#####...#.######..#.##.####.##..####.##.#..###....#..####..######.############.####....##..##..#####..#####.#........##.##.###..#..#####...#.######..#.##.####.##..####.##.#..###....#.#####..######.############.####....##..##..#####..#####.#........##.##.###..#..#####...#.######..#.##.####.##..####.##.#..###....#..####..######.############.####....##..##..#####..#####.#........##.##.###..#..#####...#.######..#.##.####.##..####.##.#..###....#..####..######.############.
#..####.#.#.....##.......#....#.#.#..##.....#.#.##.######.......##.#####.##...#.###.###.#..###..#.#..##..#...###.##.#..#.##..#.##.#.#..#####...#.####.#......#.####...#...##..##..##.....#..##..#..##.#.####..#.#.#....#.####...##.#....###.#.##..##.#####.#.##.#....##.#..#.#..##..#......#.###...#....#.###.#.##......#.....#..###.##.....###.#.###..#######....##....###.#.#..#...##.#####.#.##.#....##.#..#.#..##..#......#.###...#....#.###.#.##......#.....#..###.##.....###.#.###..#######....##....###.#.#..#...##.#####.#.##.#....##.#..#.#..##..#......#.###...#....#.###.#.##......#.....#..###.##.....###.#.###..#######....##....###.#.#..#...##.#####.#.##.#....##.#..#.#..##..#......#.###...#....#.###.#.##......#.....#..###.##.....###.#.###..#######....##....###.#.#..#...##.#####.#.##.#....##.#..#.#..##..#......#.###...#....#.###.#.##......#.....#..###.##.....###.#.###..#######....##....###.#.#..#...##.#####.#.##.#....##.#..#.#..##..#......#.###...#....#.###.#.##......#.....#..###.##.....###.#.###..##
..#.#...#.#...#.###.##.###.###.#####.#.######..#..##.##.#....###.#......####.#...##...#.#..#.#..########..#...#...##.###...##.#.######.###.##..#....#.##...##.....##.#...###....#...##..###....###..###..#.#####.####.#.#.#..#..#.#...##....#..###..#.#.##...######.##...#...##.####....##..#####.##.....#.#####.....#.....#.##....##..#..##..#####..#.#####...###....#.#...#.#.#.#.#..#.#.##...######.##...#...##.####....##..#####.##.....#.#####.....#.....#.##....##..#..##..#####..#.#####...###....#.#...#.#.#.#.#..#.#.##...######.##...#...##.####....##..#####.##.....#.#####.....#.....#.##....##..#..##..#####..#.#####...###....#.#...#.#.#.#.#..#.#.##...######.##...#...##.####....##..#####.##.....#.#####.....#.....#.##....##..#..##..#####..#.#####...###....#.#...#.#.#.#.#..#.#.##...######.##...#...##.####....##..#####.##.....#.#####.....#.....#.##....##..#..##..#####..#.#####...###....#.#...#.#.#.#.#..#.#.##...######.##...#...##.####....##..#####.##.....#.#####.....#.....#.##....##..#..##..#####..#.##
..##..##..#...#.##.###.####.####.#.###..#...##.#.#.#.####..#..#.#..#...#######..#..#.#.#.#.#########..#...#...#..##...##.##.##......#..#.......#..####...#...##.####.##.##.#..#####..#.###..###.#.....###..#...#.##...#.#....#.........#.#..#.#.....#......##.##.#####.#..####......###..#.##########..#.##.###..#####.....###..#....#...#.#......#...##....#.#..####......##....###...#......##.##.#####.#..####......###..#.##########..#.##.###..#####.....###..#....#...#.#......#...##....#.#..####......##....###...#......##.##.#####.#..####......###..#.##########..#.##.###..#####.....###..#....#...#.#......#...##....#.#..####......##....###...#......##.##.#####.#..####......###..#.##########..#.##.###..#####.....###..#....#...#.#......#...##....#.#..####......##....###...#......##.##.#####.#..####......###..#.##########..#.##.###..#####.....###..#....#...#.#......#...##....#.#..####......##....###...#......##.##.#####.#..####......###..#.##########..#.##.###..#####.....###..#....#...#.#......#...##.
###..#.#.#...###..##...#.##..#.#.#.#.#####.###.##.###.#.#.##.....##.....##...#####...######.#.#..##...#..#...#.##.....###...######...#.#.#..###.#...###.######.##..#.###.##...###.#####.#...#..###.##.##...#.#.##..##.######....#####...##..##.#####.#####..####...####.#.##...#....##..##..##..#.####...###.##...#..######..########..#.##....#...#...#.#..#..#.#.#.#......##.#..#.###.#####..####...####.#.##...#....##..##..##..#.####...###.##...#..######..########..#.##....#...#...#.#..#..#.#.#.#......##.#..#.###.#####..####...####.#.##...#....##..##..##..#.####...###.##...#..######..########..#.##....#...#...#.#..#..#.#.#.#......##.#..#.###.#####..####...####.#.##...#....##..##..##..#.####...###.##...#..######..########..#.##....#...#...#.#..#..#.#.#.#......##.#..#.###.#####..####...####.#.##...#....##..##..##..#.####...###.##...#..######..########..#.##....#...#...#.#..#..#.#.#.#......##.#..#.###.#####..####...####.#.##...#....##..##..##..#.####...###.##...#..######..########..#.##....#...#...#.
##..#..##.#..#.#####.##.##.###..##...#.###.#..#.##.....#####.....##.#.#.#..#..###.#..##.#.#.##.##...#.#####.##.#...#...###....######..######.###...##..#.######.####.##.#####..###.#....###........##..#####..#..###.#....###..####..######...#.##.##.#.####..##..#...#.#.##.##...#.##.#.##.......####..#...#.#..#.#....#.#.#..##.....#.###..#.###.#...#..#.####......##.#.###.#.#.##.##.#.####..##..#...#.#.##.##...#.##.#.##.......####..#...#.#..#.#....#.#.#..##.....#.###..#.###.#...#..#.####......##.#.###.#.#.##.##.#.####..##..#...#.#.##.##...#.##.#.##.......####..#...#.#..#.#....#.#.#..##.....#.###..#.###.#...#..#.####......##.#.###.#.#.##.##.#.####..##..#...#.#.##.##...#.##.#.##.......####..#...#.#..#.#....#.#.#..##.....#.###..#.###.#...#..#.####......##.#.###.#.#.##.##.#.####..##..#...#.#.##.##...#.##.#.##.......####..#...#.#..#.#....#.#.#..##.....#.###..#.###.#...#..#.####......##.#.###.#.#.##.##.#.####..##..#...#.#.##.##...#.##.#.##.......####..#...#.#..#.#....#.#.#..##.....#.###..#.###.#...#.
#.##.#....##..##.##.#.#####.###.##.#.#...###.####...#.#.###.#.##..#.#.##..#.#.###...##...#.#.#.####.#..#.#..##...##.#.########.......###...##.##..###..#.##.#.#..#.###.#...#.#.#.##.......##.......##.#..#..###...#...#..#....##..##.##.##...#..######.#..####..##.#.#....##.##.#.#..###.#....####...##..#..###..###.#.#...##......##..####.#.####.##....#####..#..###....#.#..#..#######.#..####..##.#.#....##.##.#.#..###.#....####...##..#..###..###.#.#...##......##..####.#.####.##....#####..#..###....#.#..#..#######.#..####..##.#.#....##.##.#.#..###.#....####...##..#..###..###.#.#...##......##..####.#.####.##....#####..#..###....#.#..#..#######.#..####..##.#.#....##.##.#.#..###.#....####...##..#..###..###.#.#...##......##..####.#.####.##....#####..#..###....#.#..#..#######.#..####..##.#.#....##.##.#.#..###.#..#.####...##..#..###..###.#.#...##......##..####.#.####.##....#####..#..###....#.#..#..#######.#..####..##.#.#....##.##.#.#..###.#....####...##..#..###..###.#.#...##......##..####.#.####.##....
##.#.....###...#.#..####.#.##...##.#..##........##.#...#.###..#.#..#########.#..#.#.#######.##.#..#..##..##.##..#.#...##..#####..##.##...#.#.#..#.###....###....#.##.##.#...#.##.#..#.######....###..#....####...#....####.##..##..###...#..##...##.#######.#.##..#######.###.#...##...##..##...#..##.#.#..###.#..#####.#..###.##..#...#.#.##.##.#.#####.#.#.#..#..####.#.#....###.###.#######.#.##..#######.###.#...##...##..##...#..##.#.#..###.#..#####.#..###.##..#...#.#.##.##.#.#####.#.#.#..#..####.#.#....###.###.#######.#.##..#######.###.#...##...##..##...#..##.#.#..###.#..#####.#..###.##..#...#.#.##.##.#.#####.#.#.#..#..####.#.#....###.###.#######.#.##..#######.###.#...##...##..##...#..##.#.#..###.#..#####.#..###.##..#...#.#.##.##.#.#####.#.#.#..#..####.#.#....###.###.#######.#.##..#######.###.#...##...##..##...#..##.#.#..###.#..#####.#..###.##..#...#.#.##.##.#.#####.#.#.#..#..####.#.#....###.###.#######.#.##..#######.###.#...##...##..##...#..##.#.#..###.#..#####.#..###.##..#...#.#.##.##.#.#####.
.#....#.#.#.##....#..#.#.###..#.#...#......###..#..#.##.#..#...#...######...#.######....#.###.#######.#.##.##..##.##.#..##..#..#.#.####.#.##.#.####..#...#.###...#.####.##.#...#...#.##.##.#..#..#.###.....####.#..###....##..###..###.#.####....#...#...##..#.###.....#..###..#.....######.########.##.###.#.#...##..###.###..#.####.#.##.####......#...#.#..#...#..#####.##..#....#...#...##..#.###.....#..###..#.....######.########.##.###.#.#...##..###.###..#.####.#.##.####......#...#.#..#...#..#####.##..#....#...#...##..#.###.....#..###..#.....######.########.##.###.#.#...##..###.###..#.####.#.##.####......#...#.#..#...#..#####.##..#....#...#...##..#.###.....#..###..#.....######.########.##.###.#.#...##..###.###..#.####.#.##.####......#...#.#..#...#..#####.##..#....#...#...##..#.###.....#..###..#.....######.########.##.###.#.#...##..###.###..#.####.#.##.####......#...#.#..#...#..#####.##..#....#...#...##..#.###.....#..###..#.....######.########.##.###.#.#...##..###.###..#.####.#.##.####......#...
###....####.#.##.#..#..#.#..#..##.#.#..#....##.##..........#.###.#..#.#.##.....#...#...#....###.####....#...##.##..#.#...##..#.##.##...#..#..#..#..###...#...#..#..##.###.######..#.#.#.####..#.....##.#...##.###...##..###...#.#####..#..#.##.##...##...##.#..##..##..####......##....#..#.####.#.##.#.##.#..#####.##..##.#.......#..##.##.#.##.##.#####.#.####..##..########..#......##...##.#..##..##..####......##....#..#.####.#.##.#.##.#..#####.##..##.#.......#..##.##.#.##.##.#####.#.####..##..########..#......##...##.#..##..##..####......##....#..#.####.#.##.#.##.#..#####.##..##.#.......#..##.##.#.##.##.#####.#.####..##..########..#......##...##.#..##..##..####......##....#..#.####.#.##.#.##.#..#####.##..##.#.......#..##.##.#.##.##.#####.#.####..##..########..#......##...##.#..##..##..####......##....#..#.####.#.##.#.##.#..#####.##..##.#.......#..##.##.#.##.##.#####.#.####..##.#########..#......##...##.#..##..##..####......##....#..#.####.#.##.#.##.#..#####.##..##.#.......#..##.##.#.##.##.#####
###.####..##....#.#.##..#..#.###.#########.#.##.#.##.#..##.##...#.....#....#..#.##.#.#.....##.##..#########..##.###..#.#.#.....#..####..#.#.#....#.##....#...#.####.#...#..#...##.#..#####.####.......##.###....##.#..#.##.##.####...#...#..#..##.##..#...##.....######..##.########..##....##.#....#######.......#.#.......##....#...##.###..#.#####.#..#...#...###..###..##...#..#.##..#...##.....######..##.########..##....##.#....#######.......#.#.......##....#...##.###..#.#####.#..#...#...###..###..##...#..#.##..#...##.....######..##.########..##....##.#....#######.......#.#.......##....#...##.###..#.#####.#..#...#...###..###..##...#..#.##..#...##.....######..##.########..##....##.#....#######.......#.#.......##....#...##.###..#.#####.#..#...#...###..###..##...#..#.##..#...##.....######..##.########..##....##.#....#######.......#.#.......##....#...##.###..#.#####.#..#...#...###..###..##...#..#.##..#...##.....######..##.########..##....##.#....#######.......#.#.......##....#...##.###..#.#####.#..
....##......##.##..##...#.#..#.#...##..##.#.##..###..#.....##..#.#..###.###..##.###.#..#.#.##.##...##....#.##...#####..#.#.##########.#....#.#...#.###....###.###.#.#.#.#####.#######.....####.#.##...#####..##..####...#..###.#..########.###.##.#......##########.....#.###.#.##.#.###....###.#..#..#.#..#####.##.#.##...#.##.....##.#.##...#...#..#...#.##.##..####......#..#..##.#......##########.....#.###.#.##.#.###....###.#..#..#.#..#####.##.#.##...#.##.....##.#.##...#...#..#...#.##.##..####......#..#..##.#......##########.....#.###.#.##.#.###....###.#..#..#.#..#####.##.#.##...#.##.....##.#.##...#...#..#...#.##.##..####......#..#..##.#......##########.....#.###.#.##.#.###....###.#..#..#.#..#####.##.#.##...#.##.....##.#.##...#...#..#...#.##.##..####......#..#..##.#......##########.....#.###.#.##.#.###....###.#..#..#.#..#####.##.#.##...#.##.....##.#.##...#...#..#...#.##.##..####......#..#..##.#......##########.....#.###.#.##.#.###....###.#..#..#.#..#####.##.#.##...#.##.....##.#.##...#...#..#...
...#......##.#.#.......#.###....#....#...#.#.###.#...#...#..###.###.#..##....#.###.####..###.##....####..####......#..####.########.#.#..#...#...##...###.###...#.###.#.#.#.#.#..#.#...#.#..###..#.#...#######.#.###.#.####..#.##.##.##....#...##...##.#.########...##..##....##..#######...#.###...#.####.#..#.#.#..#...######....##.#....###..#...##..#.#.#.#..#.##.###.#.#####.##...##.#.########...##..##....##..#######...#.###...#.####.#..#.#.#..#...######....##.#....###..#...##..#.#.#.#..#.##.###.#.#####.##...##.#.########...##..##....##..#######...#.###...#.####.#..#.#.#..#...######....##.#....###..#...##..#.#.#.#..#.##.###.#.#####.##...##.#.########...##..##....##..#######...#.###...#.####.#..#.#.#..#...######....##.#....###..#...##..#.#.#.#..#.##.###.#.#####.##...##.#.########...##..##....##..#######...#.###...#.####.#..#.#.#..#...######....##.#....###..#...##..#.#.#.#..#.##.###.#.#####.##...##.#.########...##..##....##..#######...#.###...#.####.#..#.#.#..#...######....##.#....###..#...##..#
#.###.##.###...###...##.#....#....###...###.#.#.##.######.#..#.#.#######.###.#..####..#.#.###.....#..#######.##..#.##..#.##.#.....####......###.#.#######.#.##.###.##.......###.#.###.#...##.##...#.#..#.#.#..#.#.##...##..##.#.#.#.####.####.##...#.##.#......#.#..#.###...###.#....#..#...#...#..#.#######.###.###.#.###.##.#..#.....###..#.##.#....###..#.#...##..##.#.#.##.#..##..#.##.#......#.#..#.###...###.#....#..#...#...#..#.#######.###.###.#.###.##.#..#.....###..#.##.#....###..#.#...##..##.#.#.##.#..##..#.##.#......#.#..#.###...###.#....#..#...#...#..#.#######.###.###.#.###.##.#..#.....###..#.##.#....###..#.#...##..##.#.#.##.#..##..#.##.#......#.#..#.###...###.#....#..#...#...#..#.#######.###.###.#.###.##.#..#.....###..#.##.#....###..#.#...##..##.#.#.##.#..##..#.##.#......#.#..#.###...###.#....#..#...#...#..#.#######.###.###.#.###.##.#..#.....###..#.##.#....###..#.#...##..##.#.#.##.#..##..#.##.#......#.#..#.###...###.#....#..#...#...#..#.#######.###.###.#.###.##.#..#.....###..#.##.#....###
##.#.##.#.#.#...##.#.##.###...###...#...#.###.#..##..#...###.#.#.#.####..###.#.##...##.####..#####.####.#.#.##.#..##.##...#####....#.#.#####.##.###.###....#####...#...#.##........#..#..#....#.###......#.##..#.#.#.#....####.##########...##..#.##.##.#..###..#.##.###..##.#..#...#.##....#....#####.#.#.#####.###.##..#.#######.....##....#####.##..#.#.#####.###.#.###.....##.#..##.##.#..###..#.##.###..##.#..#...#.##....#....#####.#.#.#####.###.##..#.#######.....##....#####.##..#.#.#####.###.#.###.....##.#..##.##.#..###..#.##.###..##.#..#...#.##....#....#####.#.#.#####.###.##..#.#######.....##....#####.##..#.#.#####.###.#.###.....##.#..##.##.#..###..#.##.###..##.#..#...#.##....#....#####.#.#.#####.###.##..#.#######.....##....#####.##..#.#.#####.###.#.###.....##.#..##.##.#..###..#.##.###..##.#..#...#.##....#....#####.#.#.#####.###.##..#.#######.....##....#####.##..#.#.#####.###.#.###.....##.#..##.##.#..###..#.##.###..##.#..#...#.##....#....#####.#.#.#####.###.##..#.#######.....##....#####.##..#.
#.#.##..#...#.#..#...##.##..#..#..#.##..#.####...#.#.##..#..#.#.#.##.#.##.##.#.##.##..##.#..####...##.###.###.###....###.##.#...###....##.####....#.##..#####..#.#.#.###......###..#....#..##.##...###.###........#####......###.#.#..##.#..#..#####....#.#.#.....#..##.##...#..#...#.###.##.###..##.#.#...#...#.#..#.#####.#.####..##..#.#...###..#..#....##.###.##.########.##.######...##.#.#.....#..##.##...#..#...#.###.##.###..##.#.#...#...#.#..#.#####.#.####..##..#.#...###..#..#....##.###.##.########.##.######....#.#.#.....#..##.##...#..#...#.###.##.###..##.#.#...#...#.#..#.#####.#.####..##..#.#...###..#..#....##.###.##.########.##.######....#.#.#.....#..##.##...#..#...#.###.##.###..##.#.#...#...#.#..#.#####.#.#####.##..#.#...###..#..#....##.###.##.########.##.######....#.#.#.....#..##.##...#..#...#.###.##.###..##.#.#...#...#.#..#.#####.#.####..##..#.#...###..#..#....##.###.##.########.##.######....#.#.#.....#..##.##...#..#...#.###.##.###..##.#.#...#...#.#..#.#####.#.####..##..#.#...###..#..#..
#..##.###..#.###.######..#.#.#.#..###.##.....###.###..#......######....#..#..##...###.....#.##.#...##...#.###.#..#.###.#.#.#..#.#............#.#.......#.##.###....######.##...#####.##.......##..#.####.######..##...#.#.#....####.....########...####...#.#.###.######.#.#..##...##.##.###.####..#..##.#.#.#..#..####......####...#.#...#...######..###..#....#..####.##..#.#....#..####...#.#.###.######.#.#..##...##.##.###.####..#..##.#.#.#..#..####......####...#.#...#...######..###..#....#..####.##..#.#....#..####...#.#.###.######.#.#..##...##.##.###.####..#..##.#.#.#..#..####......####...#.#...#...######..###..#....#..####.##..#.#....#..####...#.#.###.######.#.#..##...##.##.###.####..#..##.#.#.#..#..####......####...#.#...#...######..###..#....#..####.##..#.#....#..####...#.#.###.######.#.#..##...##.##.###.####..#..##.#.#.#..#..####......####...#.#...#...######..###..#....#..####.##..#.#....#..####...#.#.###.######.#.#..##...##.##.###.####..#..##.#.#.#..#..####......####...#.#...#...######..###
..#....#.#.#.#.#...#.#...#...##...#....##.#####..##.##.#..###...##..###..#..#.#....##.#...######.##..#......#.#..##.#..##.##.#..########.#....#####.##.####.#.#####....#.####.#.#..###..#...#..###.##.###.##....##.##.##.#....##.##..#####.#.##....#####.##.#.########.#........#..#.#..##...#.######.##.#..#....#....##..#.#...###..#...##.##...#..###...######.##.#....##..####.#...#####.##.#.########.#........#..#.#..##...#.######.##.#..#....#....##..#.#...###..#...##.##...#..###...######.##.#....##..####.#...#####.##.#.########.#........#..#.#..##...#.######.##.#..#....#....##..#.#...###..#...##.##...#..###...######.##.#....##..####.#...#####.##.#.########.#........#..#.#..##...#.######.##.#..#....#....##..#.#...###..#...##.##...#..###...######.##.#....##..####.#...#####.##.#.########.#........#..#.#..##...#.######.##.#..#....#....##..#.#...###..#...##.##...#..###...######.##.#....##..####.#...#####.##.#.########.#........#..#.#..##...#.######.##.#..#....#....##..#.#...###..#...##.##...#..###..
.#.##.#.##.##....#..##..#..###.##..##.#...#.##.#...######.....####.####..#####.#####.#####.######.#.####...###.########..#..##....##..#.###..#.....#....#.#.##..#.#...#.#.#..#.###.##...#..#....#.#.######..##..#..###.###..#.##.#....######.#####....#...####.#.##..####...#...##..######.#..##..#...#...#..#....##..#..#...##..#..##.#.######.....###.#.#...###.####...####..#.##.#....#...####.#.##..####...#...##..######.#..##..#...#...#..#....##..#..#...##..#..##.#.######.....###.#.#...###.####...####..#.##.#....#...####.#.##..####...#...##..######.#..##..#...#...#..#....##..#..#...##..#..##.#.######.....###.#.#...###.####...####..#.##.#....#...####.#.##..####...#...##..######.#..##..#...#...#..#....##..#..#...##..#..##.#.######.....###.#.#...###.####...####..#.##.#....#...####.#.##..####...#...##..######.#..##..#...#...#..#....##..#..#...##..#..##.#.######.....###.#.#...###.####...####..#.##.#....#...####.#.##..####...#...##..######.#..##..#...#...#..#....##..#..#...##..#..##.#.######.....###.#
#...#...##.##..#.#..######..#..#....##..##..##....#..#.#.##..##.#.#..#.###..###.#..####..##..#.#####.#.#.##..##.#..##...#..#.#..####.####...####..##.#.#...##.#...##.#.#...##.#.###.#.#####.###.#.#..#..###.###.#.###.#...#####.#...#.##...#.#.##...#.####..#####.....###.#..#####...#.##.#.#######.#.#...#..###.###.##..#.##..#.#.#..#...#############.##...#..###.##..#.#....###.#...#.####..#####.....###.#..#####...#.##.#.#######.#.#...#..###.###.##..#.##..#.#.#..#...#############.##...#..###.##..#.#....###.#...#.####..#####.....###.#..#####...#.##.#.#######.#.#...#..###.###.##..#.##..#.#.#..#...#############.##...#..###.##..#.#....###.#...#.####..#####.....###.#..#####...#.##.#.#######.#.#...#..###.###.##..#.##..#.#.#..#...#############.##...#..###.##..#.#....###.#...#.####..#####.....###.#..#####...#.##.#.#######.#.#...#..###.###.##..#.##..#.#.#..#...#############.##...#..###.##..#.#....###.#...#.####..#####.....###.#..#####...#.##.#.#######.#.#...#..###.###.##..#.##..#.#.#..#...#############.#
#.###.#.....#....#.#..#..#.#.##.#.##.#....###......#.###.....##.####...#.#.##.#...###.#.#.#.#.#...##.###.####.##.#.#######...###.###...#.#.#.##.#.#...###..#....#......#...###.#.#.###..#...##.#.#.##.....##.##.#..#########.###.###.........###.##..#..###..#.#.#.###....#####.#.##.#.#..####.#.#...##########....##.#.......#..#...#.#....#.#.#.....##.#.#......#.#..#.#.###########..#..###..#.#.#.###....#####.#.##.#.#..####.#.#...##########....##.#.......#..#...#.#....#.#.#.....##.#.#......#.#..#.#.###########..#..###..#.#.#.###....#####.#.##.#.#..####.#.#...##########....##.#.......#..#...#.#....#.#.#.....##.#.#......#.#..#.#.###########..#..###..#.#.#.###....#####.#.##.#.#..####.#.#...##########....##.#.......#..#...#.#....#.#.#.....##.#.#......#.#..#.#.###########..#..###..#.#.#.###....#####.#.##.#.#..####.#.#...##########....##.#.......#..#...#.#....#.#.#.....##.#.#......#.#..#.#.###########..#..###..#.#.#.###....#####.#.##.#.#..####.#.#...##########....##.#.......#..#...#.#....#.#.#.....##.
...#..#...##.####.###.#.#....###..###....#..###.#.##.#.#######.##......####..#.##..#..#.#####..#.##..#.#........##..##.#########.##.###...##....#.###..#..#..##..#.#.####..#.###....#.#.##......#####.###....##.#.##........##..###..#.####...##.###..#.#.#.#.#....#.....#.#...##.#.#...#..###.##.####..###....#####..####.#...#.##.#.###.#.#..#.##.##...#...#...###..#..####.#.#.#.###..#.#.#.#.#....#.....#.#...##.#.#...#..###.##.####..###....#####..####.#...#.##.#.###.#.#..#.##.##...#...#...###..#..####.#.#.#.###..#.#.#.#.#....#.....#.#...##.#.#...#..###.##.####..###....#####..####.#...#.##.#.###.#.#..#.##.##...#...#...###..#..####.#.#.#.###..#.#.#.#.#....#.....#.#...##.#.#...#..###.##.####..###....#####..####.#...#.##.#.###.#.#..#.##.##...#...#...###..#..####.#.#.#.###..#.#.#.#.#....#.....#.#...##.#.#...#..###.##.####..###....#####..####.#...#.##.#.###.#.#..#.##.##...#...#...###..#..####.#.#.#.###..#.#.#.#.#....#.....#.#...##.#.#...#..###.##.####..###....#####..####.#...#.##.#.###.#.#..#.##.##...
.#.#.####..#....##..####..##.#.#.##.#..##...#.#...###.#..#.##....###...#.#..##.##..#.#..#...#.###...#####.#####..#.#..#..####.####.....#.###...#...##......###....#..#.#.....#####..###.##....##...###.###..#...####.###.#..#..##.#.###.#.#.#..#.#..#..#..#.###.##.####.###.....##...#.#..#..#.#.#.#.#.....#..##...###.##..#......##.#.##.###.#......####.###..#.#..##...######.###.#..#..#..#.###.##.####.###.....##...#.#..#..#.#.#.#.#.....#..##...###.##..#......##.#.##.###.#......####.###..#.#..##...######.###.#..#..#..#.###.##.####.###.....##...#.#..#..#.#.#.#.#.....#..##...###.##..#......##.#.##.###.#......####.###..#.#..##...######.###.#..#..#..#.###.##.####.###.....##...#.#..#..#.#.#.#.#.....#..##...###.##..#......##.#.##.###.#......####.###..#.#..##...######.###.#..#..#..#.###.##.####.###.....##...#.#..#..#.#.#.#.#.....#..##...###.##..#......##.#.##.###.#......####.###..#.#..##...######.###.#..#..#..#.###.##.####.###.....##...#.#..#..#.#.#.#.#.....#..##...###.##..#......##.#.##.###.#......####
.#..##...###.#.##.#..#.###.###.###..#.#.#.##.#.#....#.#....#.#..#..#.###..#...##....#.##.#..#.#..#...###.#.##.###.##.####..##...##.#..##....#.##.#..#.#.##.#...##.#..##..###....###.##.#..##.#...###.##.###.##.#.#...###.##..#.####..##.###.###.#...######.#...##....###.#..##....##..#.#.##..##......#..##...#.###.#.##...#..###.##.#.#.##.####...##.##.##.#.########.##.#.#.#.###....######.#...##....###.#..##....##..#.#.##..##......#..##...#.###.#.##...#..###.##.#.#.##.####...##.##.##.#.########.##.#.#.#.###....######.#...##....###.#..##....##..#.#.##..##......#..##...#.###.#.##...#..###.##.#.#.##.####...##.##.##.#.########.##.#.#.#.###....######.#...##....###.#..##....##..#.#.##..##......#..##...#.###.#.##...#..###.##.#.#.##.####...##.##.##.#.########.##.#.#.#.###....######.#...##....###.#..##....##..#.#.##..##...#..#..##...#.###.#.##...#..###.##.#.#.##.####...##.##.##.#.########.##.#.#.#.###....######.#...##....###.#..##....##..#.#.##..##......#..##...#.###.#.##...#..###.##.#.#.##.####...##.##.
..##.###.#...#.#.##.##.##.##.#..#.#.#.####.#....##...#.....###...#.....#..#.##.#..#.#.##....#.#.#.##.####....###.###..#######..#..##.#.#.#.##.#..##.#...##.###..###....#..#..####.....#####.#...##.##.....###.###.....#.##.#.#########..#.#..#.#########....#.#.#..####.#.###...##.#.##..##...#.##.#....#.#...#.###.#..#.#####.###.##.#.####.#..##.##.####.#.##.##.#.#..#.........#########....#.#.#..####.#.###...##.#.##..##...#.##.#....#.#...#.###.#..#.#####.###.##.#.####.#..##.##.####.#.##.##.#.#..#.........#########....#.#.#..####.#.###...##.#.##..##...#.##.#....#.#...#.###.#..#.#####.###.##.#.####.#..##.##.####.#.##.##.#.#..#.........#########....#.#.#..####.#.###...##.#.##..##...#.##.#....#.#...#.###.#..#.#####.###.##.#.####.#..##.##.####.#.##.##.#.#..#.........#########....#.#.#..####.#.###...##.#.##..##...#.##.#....#.#...#.###.#..#.#####.###.##.#.####.#..##.##.####.#.##.##.#.#..#.........#########....#.#.#..####.#.###...##.#.##..##...#.##.#....#.#...#.###.#..#.#####.###.##.#.####.#..##.##.###
.#...##.###......#.#......#..##....#..###...#####.......##..##...###..##.#.........##..##.#.#..#.##..#...#.#.###.######.##.####.....#.#..#.##.#.#.#..##.##..#.#.#..#..####.#.#.##.#..#..#.#..#..##.#.##...#.#..###########..#.###.##.#.#####..#..#.#..######....#...###..###..####...#.......#..#...###...##.#..#.##...##..#........######.##..#...#.###..#.##.##.##########.#...#.##.#..######....#...###..###..####...#.......#..#...###...##.#..#.##...##..#........######.##..#...#.###..#.##.##.##########.#...#.##.#..######....#...###..###..####...#.......#..#...###...##.#..#.##...##..#........######.##..#...#.###..#.##.##.##########.#...#.##.#..######....#...###..###..####...#.......#..#...###...##.#..#.##...##..#........######.##..#...#.###..#.##.##.##########.#...#.##.#..######....#...###..###..####...#.......#..#...###...##.#..#.##...##..#........######.##..#...#.###..#.##.##.##########.#...#.##.#..######....#...###..###..####...#.......#..#...###...##.#..#.##...##..#........######.##..#...#.###.
#.#.#.#.#####....##.....###...#.####..#...###....#.#..#.##..#..##.#.####.##.#.#..#.###..##.#...######..##...##.#.##.##.#.#..###.#.#.#.#.##....###...#.####..#..#..#..##.#...#..##.....#.#####.###.###.#...######.#.#..##.#.###..##..#...###.##.#..#.#..##.#########.##..#...###.#.#..###...#..##.....#..###.###..#.###.#.#.##.....##..##...######..#..#.##.....#..#####.##.###.##.#..#.#..##.#########.##..#...###.#.#..###...#..##.....#..###.###..#.###.#.#.##.....##..##...######..#..#.##.....#..#####.##.###.##.#..#.#..##.#########.##..#...###.#.#..###...#..##.....#..###.###..#.###.#.#.##.....##..##...######..#..#.##.....#..#####.##.###.##.#..#.#..##.#########.##..#...###.#.#..###...#..##.....#..###.###..#.###.#.#.##.....##..##...######..#..#.##.....#..#####.##.###.##.#..#.#..##.#########.##..#...###.#.#..###...#..##.....#..###.###..#.###.#.#.##.....##..##...######..#..#.##.....#..#####.##.###.##.#..#.#..##.#########.##..#...###.#.#..###...#..##.....#..###.###..#.###.#.#.##.....##..##...######..#..#.#
..##..####.##.#.##.##...#..#.#.#..#...#.#.####.#......##...#.....##....#.#.....##...#####.##..####..#..####.#####.#..#.##.##.##.......###.#..#.#..#.#...#..##.######.#.#.....###.#...##.#.#.####........#.#.#...#....##....#.#.#..#...#.####..####.##.##.#.#####.####..#.##..##...#.#.##.#.##.#.#.##.#..#.......#.###..###..#...##..####..#..#..##.#.##.###.#...#.##.#.##..#.#.###..#.##.##.#.#####.####..#.##..##...#.#.##.#.##.#.#.##.#..#.......#.###..###..#...##..####..#..#..##.#.##.###.#...#.##.#.##..#.#.###..#.##.##.#.#####.####..#.##..##...#.#.##.#.##.#.#.##.#..#.......#.###..###..#...##..####..#..#..##.#.##.###.#...#.##.#.##..#.#.###..#.##.##.#.#####.####..#.##..##...#.#.##.#.##.#.#.##.#..#.......#.###..###..#...##..####..#..#..##.#.##.###.#...#.##.#.##..#.#.###..#.##.##.#.#####.####..#.##..##...#.#.##.#.##.#.#.##.#..#.......#.###..###..#...##..####..#..#..##.#.##.###.#...#.##.#.##..#.#.###..#.##.##.#.#####.####..#.##..##...#.#.##.#.##.#.#.##.#..#.......#.###..###..#...##..####..#..#..##.#.##.#
.#####..###....#..####..###..##..#####.###...##.##..#.#..##.##.......#..##...#.##....#..#..#..##.#####..#####.#.###.##..######....#.##..##.#..##....#..##.##....##..##.#...##..###.#.#####....#.#..####..##..#.##.##..#.########.#####..#...#.#..#..#.#.###.#.##.####.#...#.#....#.##..#...##.##.#.##...###.#.###.##.#..#.##.###..#.#.#.####....##.#.#...######.#####......###....###..#.#.###.#.##.####.#...#.#....#.##..#...##.##.#.##...###.#.###.##.#..#.##.###..#.#.#.####....##.#.#...######.#####......###....###..#.#.###.#.##.####.#...#.#....#.##..#...##.##.#.##...###.#.###.##.#..#.##.###..#.#.#.####....##.#.#...######.#####......###....###..#.#.###.#.##.####.#...#.#....#.##..#...##.##.#.##...###.#.###.##.#..#.##.###..#.#.#.####....##.#.#...######.#####......###....###..#.#.###.#.##.####.#...#.#....#.##..#...##.##.#.##...###.#.###.##.#..#.##.###..#.#.#.####....##.#.#...######.#####......###....###..#.#.###.#.##.####.#...#.#....#.##..#...##.##.#.##...###.#.###.##.#..#.##.###..#.#.#.####....##.#.#...
#.#.#........#.###.###.#.##...#..#..###...#.#.#.##..#.....#..####.#.#...######.##.##.#...####......###...#.##.......#.#####..##.......#.###.###..###..####..#.#.#.#.#..#..##...#.......#.#....###...##....#..#...###..##.##....#.#...####.##....####.##..###.###..#..##.###...##.#.#.#.######..#...#.##...##.....###.....#####..#..##.###..##..###..#...##.##..#.#...###..##.##.###.###.##..###.###.....##.###...##.#.#.#.######..#...#.##...##.....###.....#####..#..##.###..##..###..#...##.##..#.#...###..##.##.###.###.##..###.###.....##.###...##.#.#.#.######..#...#.##...##.....###.....#####..#..##.###..##..###..#...##.##..#.#...###..##.##.###.###.##..###.###.....##.###...##.#.#.#.######..#...#.##...##.....###.....#####..#..##.###..##..###..#...##.##..#.#...###..##.##.###.###.##..###.###.....##.###...##.#.#.#.######..#...#.##...##.....###.....#####..#..##.###..##..###..#...##.##..#.#...###..##.##.###.###.##..###.###.....##.###...##.#.#.#.######..#...#.##...##.....###.....#####..#..##.###..##..###..#...#
#.##.###.#..###.#.#...#...###.......#...###.#..##.##....##.#.##.#.##...#..##......#...###.#..##..###########.#.#.....###..#.#.#...##.#.#.#..#.#.#..####..#.##...#.##.###.#.#.##.#.#.#......##..##....#.####.#..##.#....#..#.#..#.#.###.#..###.#####.###.##.##.###.#......#..#.##.##..#...#.##..#.##..#...#.#...##.#.....#..#.#.#...#.##..#.#####..###.##.##.#.###.#.##..##.###.#.#.###.###.##.##.###.#......#..#.##.##..#...#.##..#.##..#...#.#...##.#.....#..#.#.#...#.##..#.#####..###.##.##.#.###.#.##..##.###.#.#.###.###.##.##.###.#......#..#.##.##..#...#.##..#.##..#...#.#...##.#.....#..#.#.#...#.##..#.#####..###.##.##.#.###.#.##..##.###.#.#.###.###.##.##.###.#......#..#.##.##..#...#.##..#.##..#...#.#...##.#.....#..#.#.#...#.##..#.#####..###.##.##.#.###.#.##..##.###.#.#.###.###.##.##.###.#......#..#.##.##..#...#.##..#.##..#...#.#...##.#.....#..#.#.#...#.##..#.#####..###.##.##.#.###.#.##..##.###.#.#.###.###.##.##.###.#......#..#.##.##..#...#.##..#.##..#...#.#...##.#.....#..#.#.#...#.##..#.#####..###.##.
.#########..#.#....#..#.##...#.......#.#...#..###.#..##.###.####.#...###..#.#....#.#.##.#.#.#.##.#..#.#..##.##.###....###..####..#..##...#.###....##...#.##...###.##..#..####.#..#.#....#..##..#..###....##.##....#..#.#...#...#..#.#.##...###.##.#.##.##.###..###.#.#.#.#..#..#.##....#..##..##..###.#.###..##...###.#..#.#######.#...##....#.##.##.##.###.#.#.#.#.#.###..####...##.#.##.##.###..###.#.#.#.#..#..#.##....#..##..##..###.#.###..##...###.#..#.#######.#...##....#.##.##.##.###.#.#.#.#.#.###..####....#.#.##.##.###..###.#.#.#.#..#..#.##....#..##..##..###.#.###..##...###.#..#.#######.#...##....#.##.##.##.###.#.#.#.#.#.###..####....#.#.##.##.###..###.#.#.#.#..#..#.##....#..##..##..###.#.###..##...###.#..#.#######.#...##....#.##.##.##.###.#.#.#.#.#.###..####....#.#.##.##.###..###.#.#.#.#..#..#.##....#..##..##..###.#.###..##...###.#..#.#######.#...##....#.##.##.##.###.#.#.#.#.#.###..####....#.#.##.##.###..###.#.#.#.#..#..#.##....#..##..##..###.#.###..##...###.#..#.#######.#...##....#.##.##.##.#
......##.#.##.##.#..#..###.###..###.#.##...####.##.#...#.###....#####.#...#.#.#.#..###...#.#.####.##.#..#..###..#.##..##.#.##...##...####.####..#.#.##.#####.##.##..##...##....##.###.#..#....#......#..#...#..#.#....######.#.#..#######...##.####.##.##.#.###.##.....#..####....#..#.#..##.##..#.###.##.#...#..##.#...##.#.#...##...#..#...###.##.#....#.#..#####.#..###.##..#.#####.##.##.#.###.##.....#..####....#..#.#..##.##..#.###.##.#...#..##.#...##.#.#...##...#..#...###.##.#....#.#..#####.#..###.##..#.#####.##.##.#.###.##.....#..####....#..#.#..##.##..#.###.##.#...#..##.#...##.#.#...##...#..#...###.##.#....#.#..#####.#..###.##..#.#####.##.##.#.###.##.....#..####....#..#.#..##.##..#.###.##.#...#..##.#...##.#.#...##...#..#...###.##.#....#.#..#####.#..###.##..#.#####.##.##.#.###.##.....#..####....#..#.#..##.##..#.###.##.#...#..##.#...##.#.#...##...#..#...###.##.#....#.#..#####.#..###.##..#.#####.##.##.#.###.##.....#..####....#..#.#..##.##..#.###.##.#...#..##.#...##.#.#...##...#..#...###.##.#....
...###..#..#..##..#.###...#...##..#.##.#.###.###########.##...#.#.##.#.#...##....#.#.#.###....##...#.##.#......#.#..##...#.#..###..#.###...##.#.#...##..#.###.#..#.#.##..#.#.###.........##.#..##....###...##.......#.###..##.#..####.#######.##.###.#..#..#.#####...#..##.#..#.##.##..#.#..#..#...#.#.##.#.######.#.#..###.#....###...#.#...#.#..###.#..#..##....#..###..##.##...#####.#..#..#.#####...#..##.#..#.##.##..#.#..#..#...#.#.##.#.######.#.#..###.#....###...#.#...#.#..###.#..#..##....#..###..##.##...#####.#..#..#.#####...#..##.#..#.##.##..#.#..#..#...#.#.##.#.######.#.#..###.#....####..#.#...#.#..###.#..#..##....#..###..##.##...#####.#..#..#.#####...#..##.#..#.##.##..#.#..#..#...#.#.##.#.######.#.#..###.#....###...#.#...#.#..###.#..#..##....#..###..##.##...#####.#..#..#.#####...#..##.#..#.##.##..#.#..#..#...#.#.##.#.######.#.#..###.#....###...#.#...#.#..###.#..#..##....#..###..##.##...#####.#..#..#.#####...#..##.#..#.##.##..#.#..#..#...#.#.##.#.######.#.#..###.#....###...#.#...#.#..###.#..
#.#....#.##..#.##..#..##.#.......##..##..#....#.##.....###.##.##.##........####.#..#..#.#....###....#.##..##.##.#..##..#....#......###..##.#####....#.###....#..#...##.###.#.######.#..#.#...#..####......####..#.##....#..#.##..##..#.###..###....###.#.#####..#......#...###...#...##.###.#.##.#.#.##...#.###.......##..#.#..#.#.#...##..#.#.###.#.##...#.##.#..#..######..####.#...###.#.#####..#......#...###...#...##.###.#.##.#.#.##...#.###.......##..#.#..#.#.#...##..#.#.###.#.##...#.##.#..#..######..####.#...###.#.#####..#......#...###...#...##.###.#.##.#.#.##...#.###.......##..#.#..#.#.#...##..#.#.###.#.##...#.##.#..#..######..####.#...###.#.#####..#......#...###...#...##.###.#.##.#.#.##...#.###.......##..#.#..#.#.#...##..#.#.###.#.##...#.##.#..#..######..####.#...###.#.#####..#......#...###...#...##.###.#.##.#.#.##...#.###.......##..#.#..#.#.#...##..#.#.###.#.##...#.##.#..#..######..####.#...###.#.#####..#......#...###...#...##.###.#.##.#.#.##...#.###.......##..#.#..#.#.#...##..#.#.###.#.##..
..###..#...#######.#..#.##.###.#..######.#...##.##...#..#....#.###.#.#....##.##.###.##.#########.#...#.#..##..##.#...#.###..###.#....######....#.#.###.....#.#..###.#..##.#.#...##.##..#...####.##.####.#.#..####.##....###...#.....#.#....#.####......#######.#.#...##.#.###..###.#..##..####..####..#.##..#....######....#..##..##.##.##..##....#..#..#.#..##...#.##...##...#####.......#######.#.#...##.#.###..###.#..##..####..####..#.##..#....######....#..##..##.##.##..##....#..#..#.#..##...#.##...##...#####.......#######.#.#...##.#.###..###.#..##..####..####..#.##..#....######....#..##..##.##.##..##....#..#..#.#..##...#.##...##...#####.......#######.#.#...##.#.###..###.#..##..####..####..#.##..#....######....#..##..##.##.##..##....#..#..#.#..##...#.##...##...#####.......#######.#.#...##.#.###..###.#..##..####..####..#.##..#....######....#..##..##.##.##..##....#..#..#.#..##...#.##...##...#####.......#######.#.#...##.#.###..###.#..##..####..####..#.##..#....######....#..##..##.##.##..##....#..#..#
#...####.#.#......#.#.........##.#.#...##.#.#.#....#.#.##.#........###.####.#.#........##..#....###.#....###...##.#...####.#..####....#..##.#.....#...#....####..#.....#.#.#.#.#...#.##....##..####.####.#...##...##.##..#.#####.#..###.##.#...##.#......##...####..#...##..#.##...#.##.#..####..#.##..#.#..#.#.###....#......#...#....##.#..#..#..###...###..#.#...##.#####...#.#.#.#......##...####..#...##..#.##...#.##.#..####..#.##..#.#..#.#.###....#..#...#...#....##.#..#..#..###...###..#.#...##.#####...#.#.#.#......##...####..#...##..#.##...#.##.#..####..#.##..#.#..#.#.###....#......#...#....##.#..#..#..###...###..#.#...##.#####...#.#.#.#......##...####..#...##..#.##...#.##.#..####..#.##..#.#..#.#.###....#......#...#....##.#..#..#..###...###..#.#...##.#####...#.#.#.#......##...####..#...##..#.##...#.##.#..####..#.##..#.#..#.#.###....#......#...#....##.#..#..#..###...###..#.#...##.#####...#.#.#.#......##...####..#...##..#.##...#.##.#..####..#.##..#.#..#.#.###....#......#...#....##.#..#..#..###...
#..###.##.##..#.###..##.##.#....#...#..#....#.###.....#..#.#.#..##..#..####.#......#####...#....#.#.##...#..#####...##.#.#....##.......##.###.....######...#............#...##.#.###.#...#..###....#.#..###..#.#.....#..#..#.#..###....####...#.#.###.#..###..##.#.##..####.#####....#.##.##.####...#.#.#...#####.##.#...#..#..#.##........###.##.#..#...#######.#.....#..##.#######.###.#..###..##.#.##..####.#####....#.##.##.####...#.#.#...#####.##.#...#..#..#.##........###.##.#..#...#######.#.....#..##.#######.###.#..###..##.#.##..####.#####....#.##.##.####...#.#.#...#####.##.#...#..#..#.##........###.##.#..#...#######.#.....#..##.#######.###.#..###..##.#.##..####.#####....#.##.##.####...#.#.#...#####.##.#...#..#..#.##........###.##.#..#...#######.#.....#..##.#######.###.#..###..##.#.##..####.#####....#.##.##.####...#.#.#...#####.##.#...#..#..#.##........###.##.#..#...#######.#.....#..##.#######.###.#..###..##.#.##..####.#####....#.##.##.####...#.#.#...#####.##.#...#..#..#.##........###.##.#..#...
##.##.##.##.##.###.###.#.##...#..#.####.#.#.###.#.##...#.#.###.##....#.#...#####.#.#...##.#.#....########...##.##.##.######..##.####.##.....#..###.#..###.#.##.##...##.#..#...#..####.#.#.#.##...#.##.#........#.#..#.###.#..#.#.###......#..#.....#.#..#...#.#....#..#.#.##..#####....#.#......#..#.#.#####.......##.##....##..#..####.#...##.#.......#..##..#.##..#...#####..##.##..#.#..#...#.#....#..#.#.##..#####....#.#......#..#.#.#####.......##.##....##..#..####.#...##.#.......#..##..#.##..#...#####..##.##..#.#..#...#.#....#..#.#.##..#####....#.#......#..#.#.#####.......##.##....##..#..####.#...##.#.......#..##..#.##..#...#####..##.##..#.#..#...#.#....#..#.#.##..#####....#.#......#..#.#.#####.......##.##....##..#..####.#...##.#.......#..##..#.##..#...#####..##.##..#.#..#...#.#....#..#.#.##..#####....#.#......#..#.#.#####.......##.##....##..#..####.#...##.#.......#..##..#.##..#...#####..##.##..#.#..#...#.#....#..#.#.##..#####....#.#......#..#.#.#####.......##.##....##..#..####.#...##.#.......#.
###.....#.#..#.#.###.##.#..#..#..##......###........######..#...#.##.#...##.#####..###....###...#.##.#.#.#...####.##.#..#.#...##.....#.#..##..####...#.##...###.#..#.#.####...####.#####.#######.##.#.#.#.....##...#..#.##.##.#.###....##...###.###.#.##..#.#..#.##...#.##....##.##.#..##.....#.##.##..##.###.###.#.#.##..#.#..##.###.#.#.##..###.#.#.#....##....######..#..#.#..#..##.#.##..#.#..#.##...#.##....##.##.#..##.....#.##.##..##.###.###.#.#.##..#.#..##.###.#.#.##..###.#.#.#....#.....######..#..#.#..#..##.#.##..#.#..#.##...#.##....##.##.#..##.....#.##.##..##.###.###.#.#.##..#.#..##.###.#.#.##..###.#.#.#....#.....######..#..#.#..#..##.#.##..#.#..#.##...#.##....##.##.#..##.....#.##.##..##.###.###.#.#.##..#.#..##.###.#.#.##..###.#.#.#....#.....######..#..#.#..#..##.#.##..#.#..#.##...#.##....##.##.#..##.....#.##.##..##.###.###.#.#.##..#.#..##.###.#.#.##..###.#.#.#....#.....######..#..#.#..#..##.#.##..#.#..#.##...#.##....##.##.#..##.....#.##.##..##.###.###.#.#.##..#.#..##.###.#.#.##..###.#.#.#..
#.#####....#..#.###....#####.##.#...#####.#.#.#...#.##.#.#..##.####...####.##.#..#......#..#####....#.##.#.##.##...#####.##.###.#.##..#####.####.##.#.#..#.#.#.#.#..###.#.#.###.#####...#.##....#.##...##.#..#####..#.#...###....##.##.#....###..#.#...##.#....##..#...#######.##.....##.##...##....#.....#..#..###..##...#...##.#.###.#.#....##...#.##.##..######..##.....#..#....##.#...##.#....##..#...#######.##.....##.##...##....#.....#..#..###..##...#...##.#.###.#.#....##...#.##.##..######..##.....#..#....##.#...##.#....##..#...#######.##.....##.##...##....#.....#..#..###..##...#...##.#.###.#.#....##...#.##.##..######..##.....#..#....##.#...##.#....##..#...#######.##.....##.##...##....#.....#..#..###..##...#...##.#.###.#.#....##...#.##.##..######..##.....#..#....##.#...##.#....##..#...#######.##.....##.##...##....#.....#..#..###..##...#...##.#.###.#.#....##...#.##.##..######..##.....#..#....##.#...##.#....##..#...#######.##.....##.##...##....#.....#..#..###..##...#...##.#.###.#.#....##...#.##.#
.##.##.#..##....####.##.#.####.######.#####.#.....#.#...####.#.##........#.#..##..#####.##....#..####...#.##...#....##...##........##..##.#......##......####.#...#..#####..#....#.##......#........#..#..#####.##.#..###.##....###.########..##..#.#....####.#..#.##......###.....#.#..####..#.#..........#.#...#..###.##....###..#..###....#.#...#.##.#..##.#.#.####.#..####..##...#.#....####.#..#.##......###.....#.#..####..#.#..........#.#...#..###.##....###..#..###....#.#...#.##.#..##.#.#.####.#..####..##...#.#....####.#..#.##......###.....#.#..####..#.#..........#.#...#..###.##....###..#..###....#.#...#.##.#..##.#.#.####.#..####..##...#.#....####.#..#.##......###.....#.#..####..#.#..........#.#...#..###.##....###..#..###....#.#...#.##.#..##.#.#.####.#..####..##...#.#....####.#..#.##......###.....#.#..####..#.#..........#.#...#..###.##....###..#..###....#.#...#.##.#..##.#.#.####.#..####..##...#.#....####.#..#.##......###.....#.#..####..#.#..........#.#...#..###.##....###..#..###....#.#...#.##.#
.#.###..#.###.######.#####.##..##.##.###.##....#.###.###.######.#.#....#.#.#.##.###.#...###...#####...#..#.##....##.##...#..##.#..###.##.##.#.#...##.#.#....#...#...#....####...##.#..#.#.#.###.#..#.##.#.####.#.#.###...########..#.##.#.#.#..#####.#..#.###....##......##.####..######.###.#.#####...#..#.##.#.####.###..##..####.#.#.####.#..#.#..#...#.#....#...##.##...##..##..###.#..#.###....##......##.####..######.###.#.#####...#..#.##.#.####.###..##..####.#.#.####.#..#.#..#...#.#....#...##.##...##..##..###.#..#.###....##......##.####..######.###.#.#####...#..#.##.#.####.###..##..####.#.#.####.#..#.#..#...#.#....#...##.##...##..##..###.#..#.###....##......##.####..######.###.#.#####...#..#.##.#.####.###..##..####.#.#.####.#..#.#..#...#.#....#...##.##...##..##..###.#..#.###....##......##.####..######.###.#.#####...#..#.##.#.####.###..##..####.#.#.####.#..#.#..#...#.#....#...##.##...##..##..###.#..#.###....##......##.####..######.###.#.#####...#..#.##.#.####.###..##..####.#.#.####.#..#.#..#...
..#...####......#..#.###..#.##..#.###.##.....##..#####.##..#...###.#.##..#####...#####..##....##..##.#..#...####..###.##....##.##..#.##...##.########.#####..#.#.##...##..#..#.#.#......##..#.###.##.#..#......#.......##.#...#....###.####.#...#.##..#####.##..#######.#..#...#..#.#.#.#......##..#..#.#.##...##..#####.#...#.##...##.###..#...##.....#.###.###.#.####.#.##...#####.##..#####.##..#######.#..#...#..#.#.#.#......##..#..#.#.##...##..#####.#...#.##...##.###..#...##.....#.###.###.#.####.#.##...#####.##..#####.##..#######.#..#...#..#.#.#.#......##..#..#.#.##...##..#####.#...#.##...##.###..#...##.....#.###.###.#.####.#.##...#####.##..#####.##..#######.#..#...#..#.#.#.#......##..#..#.#.##...##..#####.#...#.##...##.###..#...##.....#.###.###.#.####.#.##...#####.##..#####.##..#######.#..#...#..#.#.#.#......##..#..#.#.##...##..#####.#...#.##...##.###..#...##.....#.###.###.#.####.#.##...#####.##..#####.##..#######.#..#...#..#.#.#.#......##..#..#.#.##...##..#####.#...#.##...##.###..#...##.....#.
..#.###.##.#.#.##....#.######...####..##.##....###..#....#.###...#####.#.#...#.##..#...##..##...#.#....#.#######..##.###..#####.#..###.###..###.#.....#..#.##.#...###..##.##...#.###.##...###..#...##.....#.######....#....#..#.......##...#...#####.##.#..###...#......###..###.##.#....#..#.#..##.##.##..###.#....#.#########..#...###...###..###...#..#..#.##...#..#####....#..#####.##.#..###...#......###..###.##.#....#..#.#..##.##.##..###.#....#.#########..#...###...###..###...#..#..#.##...#..#####....#..#####.##.#..###...#......###..###.##.#....#..#.#..##.##.##..###.#....#.#########..#...###...###..###...#..#..#.##...#..#####....#..#####.##.#..###...#......###..###.##.#....#..#.#..##.##.##..###.#....#.#########..#...###...###..###...#..#..#.##...#..#####....#..#####.##.#..###...#......###..###.##.#....#..#.#..##.##.##..###.#....#.#########..#...###...###..###...#..#..#.##...#..#####....#..#####.##.#..###...#......###..###.##.#....#..#.#..##.##.##..###.#....#.#########..#...###...###..###...#..
#.#..####.##.#.####..##...##....#...##...#..#..#..#..#.###....#.##.##.#....#..#..#...#.#.##..##.##.#....####.#...##.....#...#.#####.#####..#.#...#.###...#..#....#..##...#...#.##..#...#.##.#..##.##.#...#.##..####.#.###....#.#...#.#...#..###..###.##.####.#.#####.##...#..#...#..##.#..#.####........#######....##.##.....##...##.....#......#.#.#..#.#.#.##...#.....####.##....####.##.####.#.#####.##...#..#...#..##.#..#.####........#######....##.##.....##...##.....#......#.#.#..#.#.#.##...#.....####.##....####.##.####.#.#####.##...#..#...#..##.#..#.####........#######....##.##.....##...##.....#......#.#.#..#.#.#.##...#.....####.##....####.##.####.#.#####.##...#..#...#..##.#..#.####........#######....##.##.....##...##.....#......#.#.#..#.#.#.##...#.....####.##....####.##.####.#######.##...#..#...#..##.#..#.####........#######....##.##.....##...##.....#......#.#.#..#.#.#.##...#.....#######....####.##.####.#.#####.##...#..#...#..##.#..#.####........#######....##.##.....##...##.....#......#.#.#..#.
##..##.#.#..#.###...#..####..#....##..##.#....#.#.#.#.####...#..#######.#..###....###..#..#..####.##......####.#.#..######.#..##.##....##.#....#..####.#...#..#..#....###..####..#...#.##.###.#.#.###.#...#.#.##.###..#..#.#.###.##.###....#..##..#....##...##...#....#..#####.##..#.#..#.##...##..#.#.###...#..#.#.#......#..###.....##.###......##..#.#.#..#####....#....###.#..#..#....##...##...#....#..#####.##..#.#..#.##...##..#.#.###...#..#.#.#......#..###.....##.###......##..#.#.#..#####....#....###.#..#..#....##...##...#....#..#####.##..#.#..#.##...##..#.#.###...#..#.#.#......#..###.....##.###......##..#.#.#..#####....#....###.#..#..#....##...##...#....#..#####.##..#.#..#.##...##..#.#.###...#..#.#.#......#..###.....##.###......##..#.#.#..#####....#....###.#..#..#....##...##...#....#..#####.##..#.#..#.##...##..#.#.###...#..#.#.#......#..###.....##.###......##..#.#.#..#####....#....###.#..#..#....##...##...#....#..#####.##..#.#..#.##...##..#.#.###...#..#.#.#......#..###.....##.###......##..#.#
#.###.###..#...#.#..##.#...##..###....##..######..#.#..##..#.##..#####.....####....##...##.#..##....#.#...#.##.#.....####.####..#.#..##..#...##.#.#.#.#.###.#...##.#####.###.#.#.....#.##...######.####.#...#.#..#..#..##..#..####..##..#.#.#.##..#....##...#..##....###.###.#...######..#..##...##.##....#...#...#.###..#.#.#.#.#.#.##...##.##..####.##...###...#.....#####.#.#.#...#....##...#..##....###.###.#...######..#..##...##.##....#...#...#.###..#.#.#.#.#.#.##...##.##..####.##...###...#.....#####.#.#.#...#....##...#..##....###.###.#...######..#..##...##.##....#...#...#.###..#.#.#.#.#.#.##...##.##..####.##...###...#.....#####.#.#.#...#....##...#..##....###.###.#...######..#..##...##.##....#...#...#.###..#.#.#.#.#.#.##...##.##..####.##...###...#.....#####.#.#.#...#....##...#..##....###.###.#...######..#..##...##.##....#...#...#.###..#.#.#.#.#.#.##...##.##..####.##...###...#.....#####.#.#.#...#....##...#..##....###.###.#...######..#..##...##.##....#...#...#.###..#.#.#.#.#.#.##...##.##..####.##.
.###...##.#....#..#####.#.#..##..#..##.##....##...#.##..#.###.#..###..##.###.#.#....###.###.#######..#.#..#.####.#####..#.#.#..#.#...#.#####.##.##.######..####.#..#.##.###.##.#....###..###.##...###.#####.###.###..###...##....###.##....###.###..####.##.#..##.##..###...####.#...###.#..#.##......##.####..######.#.....#..#.#.#..#.#....#####..#....##..##..##.##.##.#.#.#.###.#..####.##.#..##.##..###...####.#...###.#..#.##......##.####..######.#.....#..#.#.#..#.#....#####..#....##..##..##.##.##.#.#.#.###.#..####.##.#..##.##..###...####.#...###.#..#.##......##.####..######.#.....#..#.#.#..#.#....#####..#....##..##..##.##.##.#.#.#.###.#..####.##.#..##.##..###...####.#...###.#..#.##......##.####..######.#.....#..#.#.#..#.#....#####..#....##..##..##.##.##.#.#.#.###.#..####.##.#..##.##..###...####.#...###.#..#.##......##.####..######.#.....#..#.#.#..#.#....#####..#....##..##..##.##.##.#.#.#.###.#..####.##.#..##.##..###...####.#...###.#..#.##......##.####..######.#.....#..#.#.#..#.#....#####..#....
.##...##..#..#.#.#.#...###..#...#....##..##.##.#.#......#....#####..###..#..###..##.####.#..####.########.#.#.#.#....######.####.#.###..##.##.#....###..####..##..##.###.##.##...##.#####.#.#.###...####....#.###..###.##.####...##...#......##.###..######..####.##..#.###.....##..#...#.#.#..#.#..#..#.....##.#.......##...###..#..#####.#.#.####.#....#.#....#####.#.##.....#.#####..######..####.##..#.###.....##..#...#.#.#..#.#..#..#.....##.#.......##...###..#..#####.#.#.####.#....#.#....#.###.#.##.....#.#####..######..####.##..#.###.....##..#...#.#.#..#.#..#..#.....##.#.......##...###..#..#####.#.#.####.#....#.#....#.###.#.##.....#.#####..######..####.##..#.###.....##..#...#.#.#..#.#..#..#.....##.#.......##...###..#..#####.#.#.####.#....#.#....#.###.#.##.....#.#####..######..####.##..#.###.....##..#...#.#.#..#.#..#..#.....##.#.......##...###..#..#####.#.#.####.#....#.#....#.###.#.##.....#.#####..######..####.##..#.###.....##..#...#.#.#..#.#..#..#.....##.#.......##...###..#..#####.#.#.####.#....
#..#####.###....##.###.##..#.##...####..##..##..##.#.###........#.....#...##.##.....##..#.##...##..#.##...####..####...#.##..#.#.#.#...##.###..#.######....######.####...##.....#...#..##..##....#.#######......#...###...###......###.#.#...####.#..#.........#.#.###.##.###.###.##..###..#..#.....#...#.#######.#.#.....####.#..##.##....#....#.##...#.##...#.###.##..#...#.#...##.#..#.........#.#.###.##.###.###.##..###..#..#.....#...#.#######.#.#.....####.#..##.##....#....#.##...#.##...#.###.##..#...#.#...##.#..#.........#.#.###.##.###.###.##..###..#..#.....#...#.#######.#.#.....####.#..##.##....#....#.##...#.##...#.###.##..#...#.#...##.#..#.........#.#.###.##.###.###.##..###..#..#.....#...#.#######.#.#.....####.#..##.##....#....#.##...#.##...#.###.##..#...#.#...##.#..#.........#.#.###.##.###.###.##..###..#..#.....#...#.#######.#.#.....####.#..##.##....#....#.##...#.##...#.###.##..#...#.#...##.#..#.........#.#.###.##.###.###.##..###..#..#.....#...#.#######.#.#.....####.#..##.##....#....#.##...#.
##.###.###.#..#.#.##.#.#.#.#...#######....##.#.##...#..#.###.##.#..#.##....#...##......##.####...#..#.#......#.#...#.##.#..#..####.###.#.###.##....#.##.####.####..#..#####.##....##.#....###...#..#######.#..#..###..#.#.#...##.#.#......#..####...##..####..#..##.##.#.###.#..#..#.###.#####.###.##.##.##.##.##.#.....#.##.########.#.#....###..#####....##.#..#..####.#.#.#.###.#...##..####..#..##.##.#.###.#..#..#.###.#####.###.##.##.##.##.##.#.....#.##.########.#.#....###..#####....##.#..#..####.#.#.#.###.#...##..####..#..##.##.#.###.#..#..#.###.#####.###.##.##.##.##.##.#.....#.##.########.#.#....###..#####....##.#..#..####.#.#.#.###.#...##..####..#..##.##.#.###.#..#..#.###.#####.###.##.##.##.##.##.#.....#.##.########.#.#....###..#####....##.#..#..####.#.#.#.###.#...##..####..#..##.##.#.###.#..#..#.###.#####.###.##.##.##.##.##.#.....#.##.########.#.#....###..#####....##.#..#..####.#.#.#.###.#...##..####..#..##.##.#.###.#..#..#.###.#####.###.##.##.##.##.##.#.....#.##.########.#.#....###..#####..
#......##..#...##.##.####....#.#####.#.#.###.#..#...##.##..##.#......#####.###.#.#.#..###..#...###..#......##..##...#..#..#..###.#..###...#.#.#...##..#.###.#..#...#.#......#..#.##..#.#####..#.##..#.....#...###...#..#....##..####.#######.#.##.#.#..#############.#..#..#.....#..##.###.#..##.#.#.##.##.###..#....#.##.#.....##.#.###....#..####.##.####...##......#.##....######.#.#..#############.#..#..#.....#..##.###.#..##.#.#.##.##.###..#....#.##.#.....##.#.###....#..####.##.####...##......#.##....######.#.#..#############.#..#..#.....#..##.###.#..####.#.##.##.###..#....#.##.#.....##.#.###....#..####.##.####...##......#.##....######.#.#..#############.#..#..#.....#..##.###.#..##.#.#.##.##.###..#....#.##.#.....##.#.###....#..####.##.####...##......#.##....######.#.#..#############.#..#..#.....#..##.###.#..##.#.#.##.##.###..#....#.##.#.....##.#.###....#..####.##.####...##......#.##....######.#.#..#############.#..#..#.....#..##.###.#..##.#.#.##.##.###..#....#.##.#.....##.#.###....#..####.##.##
#..#..#.###.####..#...####.####.###..#..##.##...#..##....###..#..###...#..#.#.#.......##...#.#.###........#.#.#..##.####..##..#.##...##..###....#.###...####.##.#...#....##.#....#.#.#.#..##..##.#..#..###..######...###.#.#.#..###.###.##...#.####...#.#..#.#.#....#...#.#.###.##....###...###.###..##.###.##.#...##..###.#####.##....###...#.#..#.#...#.##..###...#.#.........######...#.#..#.#.#....#...#.#.###.##....###...###.###..##.###.##.#...##..###.#####.##....###...#.#..#.#...#.##..###...#.#.........######...#.#..#.#.#....#...#.#.###.##....###...###.###..##.###.##.#...##..###.#####.##....###...#.#..#.#...#.##..###...#.#.........######...#.#..#.#.#....#...#.#.###.##....###...###.###..##.###.##.#...##..###.#####.##....###...#.#..#.#...#.##..###...#.#.........######...#.#..#.#.#....#...#.#.###.##....###...###.###..##.###.##.#...##..###.#####.##....###...#.#..#.#...#.##..###...#.#.........######...#.#..#.#.#....#...#.#.###.##....###...###.###..##.###.##.#...##..###.#####.##....###...#.#..#.#...#
##.####..#.###.......##...##...#.####..#.#.#..#####.##.##.##..#..#...####.#....##.#####....######..##..####.##...#..##.#.#....#...###..#####.#######.#..#...###....##..#####.######..#.#...#.#..####..#..#..#.#.#.....#######.#..####..###...#.#.##.##.#####.#.##.#.#.#.#..##.#.###.#.####.#..######..####..#..##....#######.#.#.#.##.##.###...#.#.########..###..####.##.#.....#.####.##.#####.#.##.#.#.#.#..##.#.###.#.####.#..######..####..#..##....#######.#.#.#.##.##.###...#.#.########..###..####.##.#.....#.####.##.#####.#.##.#.#.#.#..##.#.###.#.####.#..######..####..#..##....#######.#.#.#.##.##.###...#.#.########..###..####.##.#.....#.####.##.#####.#.##.#.#.#.#..##.#.###.#.####.#..######..####..#..##....#######.#.#.#.##.##.###...#.#.########..###..####.##.#.....#.####.##.#####.#.##.#.#.#.#..##.#.###.#.####.#..######..####..#..##....#######.#.#.#.##.##.###...#.#.########..###..####.##.#.....#.####.##.#####.#.##.#.#.#.#..##.#.###.#.####.#..######..####..#..##....#######.#.#.#.##.##.###...#.#.######
.####.###.#######..#...#..#.##.#..#..###.#.#...##.#...#.###.#..####.###..#..###.#.##...###.#...#.##.#....####.#####...###.##..###.##..###.#..#....#.#...####.#.####...#.#.#.....#...#...#..........#....##...#.####....##...##.####....#......#.#..#..#...####..###.#.##..######.....#####.####...#...#.#.##.#.#..#..#....#...##..#...########.#.#.##..#.#.#.#...#.#######..##..#.#...#..#...####..###.#.##..######.....#####.####...#...#.#.##.#.#..#..#....#...##..#...########.#.#.##..#.#.#.#...#.#######..##..#.#...#..#...####..###.#.##..######.....#####.####...#...#.#.##.#.#..#..#....#...##..#...########.#.#.##..#.#.#.#...#.#######..##..#.#...#..#...####..###.#.##..######.....#####.####...#...#.#.##.#.#..#..#....#...##..#...########.#.#.##..#.#.#.#...#.#######..##..#.#...#..#...####..###.#.##..######.....#####.####...#...#.#.##.#.#..#..#....#...##..#...########.#.#.##..#.#.#.#...#.#######..##..#.#...#..#...####..###.#.##..######.....#####.####...#...#.#.##.#.#..#..#....#...##..#...########.#.#.##..#.
##.#.##...###.#..#.#.....#..#.###.##..##..##...#...#.###..#.#..####.##.#....#######..#..#.#..##.#.#####.###.###.#..####.##....#.##.#..#...#.##....#....#..#.###....#.#####.###.##.#.#.#..##.#.#.##.#.##.###...#.##..##.##.###..##.###..........##..####.##..#.#...###.#.####.###.#.#..#..#.###.####...#..#..##...#..#.#.#..#.##....##..####....#####..#......#.##...##...###.##.#.##..####.##..#.#...###.#.####.###.#.#..#..#.###.####...#..#..##...#..#.#.#..#.##....##..####....#####..#......#.##...##...###.##.#.##..####.##..#.#...###.#.####.###.#.#..#..#.###.####...#..#..##...#..#.#.#..#.##....##..####....#####..#......#.##...##...###.##.#.##..####.##..#.#...###.#.####.###.#.#..#..#.###.####...#..#..##...#..#.#.#..#.##....##..####....#####..#......#.##...##...###.##.#.##..####.##..#.#...###.#.####.###.#.#..#..#.###.####...#..#..##...#..#.#.#..#.##....##..####....#####..#......#.##...##...###.##.#.##..####.##..#.#...###.#.####.###.#.#..#..#.###.####...#..#..##...#..#.#.#..#.##....##..####....#####..#..
#...##.#...#..####..#.#......#..#.#.#.#....#.#..#.##..#.#.#.###....#.##...####.#.##.#####..#.#.##.#....###..#..#.#..#..####.##..#..##....####.#...#.#####..#...###..#####...#..##..#...##.##.###.#..#....####.#..........###.##.....#.##..######..#.......##.#..###.#..###..##..##.#.##....####.##.#...##...###.#.####..#.#.###..#.##..######.#..#...#.####...#.#..#####...##...##.#.#.......##.#..###.#..###..##..##.#.##....####.##.#...##...###.#.####..#.#.###..#.##..######.#..#...#.####...#.#..#####...##...##.#.#.......##.#..###.#..###..##..##.#.##....####.##.#...##...###.#.####..#.#.###..#.##..######.#..#...#.####...#.#..#####...##...##.#.#.......##.#..###.#..###..##..##.#.##....####.##.#...##...###.#.####..#.#.###..#.##..######.#..#...#.####...#.#..#####...##...##.#.#.......##.#..###.#..###..##..##.#.##....####.##.#...##...###.#.####..#.#.###..#.##..######.#..#...#.####...#.#..#####...##...##.#.#.......##.#..###.#..###..##..##.#.##....####.##.#...##...###.#.####..#.#.###..#.##..######.#..#...#.##
.#######.##..##.#.#.###.#.#.###.##.#..#.##..#.#.##.#.#..##..##....#..#.###.##.##....###.####...#.#...#.###...####.#.....#..######..##.####.#..#.#..##.######.#.....###..#....##.#.##...#..#.#.#..#..##..#.#..####.##.....###.####.###..#....##.#.###...####..##..####..##....###..#.#####..#...##....###..##...#...##...#.#..##.##..####.#.##......##....####.##.###.#.#..###.....#.###...####..##..####..##....###..#.#####..#...##....###..##...#...##...#.#..##.##..####.#.##......##....####.##.###.#.#..###.....#.###...####..##..####..##....###..#.#####..#...##....###..##...#...##...#.#..##.##..####.#.##......##....####.##.###.#.#..###.....#.###...####..##..####..##....###..#.#####..#...##....###..##...#...##...#.#..##.##..####.#.##......##....####.##.###.#.#..###.....#.###...####..##..####..##....###..#.#####..#...##....###..##...#...##...#.#..##.##..####.#.##......##....####.##.###.#.#..###.....#.###...####..##..####..##....###..#.#####..#...##....###..##...#...##...#.#..##.##..####.#.##......##....
#.....#.#..#.###.#.#.#.##..####...#######..###...###.##.###.##.#.#..######.######...#...#.##...##..#####.###...#.###.###..##.....#..####.#.####..#.#..#...###.#.#.#####.#.#####.#..#..###..#.##..#..##.###.#.#.#.##.#.#..#....#...##.###.#.###.##...##.##.#......#...##..##.###..#...##...#.###.#####......##.###.##.#.##.##..#...##..#...#..#...###......####.##.#...##..#.#....##....##.##.#......#...##..##.###..#...##...#.###.#####......##.###.##.#.##.##..#...##..#...#..#...###......####.##.#...##..#.#....##....##.##.#......#...##..##.###..#...##...#.###.#####......##.###.##.#.##.##..#...##..#...#..#...###......####.##.#...##..#.#....##....##.##.#......#...##..##.###..#...##...#.###.#####......##.###.##.#.##.##..#...##..#...#..#...###......####.##.#...##..#.#....##....##.##.#......#...##..##.###..#...##...#.###.#####......##.###.##.#.##.##..#...##..#...#..#...###......####.##.#...##..#.#....##....##.##.#......#...##..##.###..#...##...#.###.#####......##.###.##.#.##.##..#...##..#...#..#...###.....
##.#..#.#.####.##....#...##..#.#.#.#.##.##.###....#....#####......#.##...###..#...#...##..###.#.##.##...#.#..#..#####....######...##..#.###.#.....##.####.#...#.######.#....#.##.#.###.#..####.#..###.#####.#..........##.#...#.######..#.######.#..#..#.##.###..#.#.###.#####..#....#.#..##.#.#......#..###.....###..##.......#....#.#....##..#.####...#.##..##...#.##..#......#.###..#..#.##.###..#.#.###.#####..#....#.#..##.#.#......#..###.....###..##.......#....#.#....##..#.####...#.##..##...#.##..#......#.###..#..#.##.###..#.#.###.#####..#....#.#..##.#.#......#..###.....###..##.......#....#.#....##..#.####...#.##..##...#.##..#......#.###..#..#.##.###..#.#.###.#####..#....#.#..##.#.#......#..###.....###..##.......#....#.#....##..#.####...#.##..##...#.##..#......#.###..#..#.##.###..#.#.###.#####..#....#.#..##.#.#......#..###.....###..##.......#....#.#....##..#.####...#.##..##...#.##..#......#.###..#..#.##.###..#.#.###.#####..#....#.#..##.#.#......#..###.....###..##.......#....#.#....##..#.####...#
...#.##.#..###......####.###.#.###..#.##...#.#..##.##..####.#...#..##.####.......##..##.#.#.###.##.#.##.#.###........###...##.#...###.###..#.###.##..##.#.###..#.....##.#.#.#.#...##.#..##...#.#..##.#..#......#####.##....#..###.#..#....###..########.##.#.....####.#....#.#..#..#.#..####..#.#.###..#####.#.###.#.##..#.###..##.##....#..#..###.#.#.#..#..##.###..####.#..####.#.######.##.#.....####.#....#.#..#..#.#..####..#.#.###..#####.#.###.#.##..#.###..##.##....#..#..###.#.#.#..#..##.###..####.#..####.#.######.##.#.....####.#....#.#..#..#.#..####..#.#.###..#####.#.###.#.##..#.###..##.##....#..#..###.#.#.#..#..##.###..####.#..####.#.######.##.#.....####.#....#.#..#..#.#..####..#.#.###..#####.#.###.#.##..#.###..##.##....#..#..###.#.#.#..#..##.###..####.#..####.#.######.##.#.....####.#....#.#..#..#.#..####..#.#.###..#####.#.###.#.##..#.###..##.##....#..#..###.#.#.#..#..##.###..####.#..####.#.######.##.#.....####.#....#.#..#..#.#..####..#.#.###..#####.#.###.#.##..#.###..##.##....#..#..###.#.#.#.
.##..###.##..#...##.#.#..##.##.###...##..##..#.###.##.##.....#.#.####..######..##.#.##.#.#..##..#....#.#..#..#...##.#...####...#.#...#.####..####....#..####..#.#.#..#...##.#.#...##..#..###.#.###......###..#.###.#.##.#####.#..#.#..#####.#......#...#..####.###.#..#..#...#####...#.#.#..###..#...#####.#..####.#..#...#..###.#..#..##..##....####.......###.##.###..###....#####..#...#..####.###.#..#..#...#####...#.#.#..###..#...#####.#..####.#..#...#..###.#..#..##..##....####.......###.##.###..###....#####..#...#..####.###.#..#..#...#####...#.#.#..###..#...#####.#..####.#..#...#..###.#..#..##..##....####.......###.##.###..###....#####..#...#..####.###.#..#..#...#####...#.#.#..###..#...#####.#..####.#..#...#..###.#..#..##..##....####.......###.##.###..###....#####..#...#..####.###.#..#..#...#####...#.#.#..###..#...#####.#..####.#..#...#..###.#..#..##..##....####.......###.##.###..###....#####..#...#..####.###.#..#..#...#####...#.#.#..###..#...#####.#..####.#..#...#..###.#..#..##..##....####....
#..#....#.##.#.#.###...###...###.#...#####..#...###.##...#.#.#.#.#..##..#..#....#####..####..#..#...#..#..#.##...#..#.#.........#####.#..##...######.....#..#.##.###.###.##..##...#..##.##.###.##...##.##.###.###.####.###.#.#..#.###.###..#.#..###.#..#...##.###..#..##.##.#.##.#..#.##.###.###.#.#.####..#.#.#.##...#...##.#..###.#..#.#.####.#...#.#..#..##...#.#.##.#.#...###.#.##.#..#...##.###..#..##.##.#.##.#..#.##.###.###.#.#.####..#.#.#.##...#...##.#..###.#..#.#.####.#...#.#..#..##...#.#.##.#.#...###.#.##.#..#...##.###..#..##.##.#.##.#..#.##.###.###.#.#.####..#.#.#.##...#...##.#..###.#..#.#.####.#...#.#..#..##...#.#.##.#.#...###.#.##.#..#...##.###..#..##.##.#.##.#..#.##.###.###.#.#.####..#.#.#.##...#...##.#..###.#..#.#.####.#...#.#..#..##...#.#.##.#.#...###.#.##.#..#...##.###..#..##.##.#.##.#..#.##.###.###.#.#.####..#.#.#.##...#...##.#..###.#..#.#.####.#...#.#..##.##...#.#.##.#.#...###.#.##.#..#...##.###..#..##.##.#.##.#..#.##.###.###.#.#.####..#.#.#.##...#...##.#..###.#..#.#.####.#...#.#..
.#..#..#..###.#.#....#....####..###...#..##...#.#....#.###.#.#.##..###.#.#..#.##.#.....##..#.#...#####.#.#..#..#..#######..####...##.....#..######..#.#.###..#.##.###.#..#.#..#.##.##.#....##..##.#...####.##.##.##.##.##..#..#.#.#...#..#.#.##...##.##.####.##..##.#..######.#..#....#.##.#.#.....##.#####..#.#.#..####.##...####...####...##.#.#.#.#.#...##....##.#.##...#####...#.##.##.####.##..##.#..######.#..#....#.##.#.#.....##.#####..#.#.#..####.##...####...####...##.#.#.#.#.#...##....##.#.##...#####...#.##.##.####.##..##.#..######.#..#....#.##.#.#.....##.#####..#.#.#..####.##...####...####...##.#.#.###.#...##....##.#.##...#####...#.##.##.####.##..##.#..######.#..#....#.##.#.#.....##.#####..#.#.#..####.##...####...####...##.#.#.#.#.#...##....##.#.##...#####...#.##.##.####.##..##.#..######.#..#....#.##.#.#.....##.#####..#.#.#..####.##...####...####...##.#.#.#.#.#...##....##.#.##...#####...#.##.##.####.##..##.#..######.#..#....#.##.#.#.....##.#####..#.#.#..####.##...####...####...##.#.#.#.#.#.
##....#.##..#.#......#####.##...##.######.###..#..#####....##..#.#..###.#.#..#..##.#..#.#....#.#.#.####.#######..#..#..#####..##....#.#.##.#.....####.#......#..##.#.#####.##..#...####.##.####......###..#.#######....#.######...###...#.#..#.##.#.###......####....###.#..##.##.#####.##.#.###.##..#..#..###...#...##.#.##.##.#....####.##.##..##..#..###..##..#.#.#...#...###.....#.###......####....###.#..##.##.#####.##.#.###.##..#..#..###...#...##.#.##.##.#....####.##.##..##..#..###..##..#.#.#...#...###.....#.###......####....###.#..##.##.#####.##.#.###.##..#..#..###...#...##.#.##.##.#....####.##.##..##..#..###..##..#.#.#...#...###.....#.###......####....###.#..##.##.#####.##.#.###.##..#..#..###...#...##.#.##.##.#....####.##.##..##..#..###..##..#.#.#...#...###.....#.###......####....###.#..##.##.#####.##.#.###.##..#..#..###...#...##.#.##.##.#....####.##.##..##..#..###..##..#.#.#...#...###.....#.###......####....###.#..##.##.#####.##.#.###.##..#..#..###...#...##.#.##.##.#....####.##.##..##..#..#
###.#...#....###.....#..#.##......#.#.#.##..#...#..####...#.##.####..#...#.####.#.#....#...#.#....#.##.#.#####..###.##..#.#..###.....##.##.#.##..#.#........#..###..#...####..###....#..#.####.#...##..#.####.#..###.....#...##..#.##..##.#..##....###.####.#.##.#...##...###.##.###.#..#...###..#.#.#..##..#...##...#..#...#...#.#.#.....###...###.#.#.##.#..##.#.#.###.###.#.###.#..###.####.#.##.#...##...###.##.###.#..#...###..#.#.#..##..#...##...#..#...#...#.#.#.....###...###.#.#.##.#..##.#.#.###.###.#.###.#..###.####.#.##.#...##...###.##.###.#..#...###..#.#.#..##..#...##...#..#...#...#.#.#.....###...###.#.#.##.#..##.#.#.###.###.#.###.#..###.####.#.##.#...##...###.##.###.#..#...###..#.#.#..##..#...##...#..#...#...#.#.#.....###...###.#.#.##.#..##.#.#.###.###.#.###.#..###.####.#.##.#...##...###.##.###.#..#...###..#.#.#..##..#...##...#..#...#...#.#.#.....###...###.#.#.##.#..##.#.#.###.###.#.###.#..###.####.#.##.#...##...###.##.###.#..#...###..#.#.#..##..#...##...#..#...#...#.#.#.....###...###.#.#.#
..#.#.###.##.#.##..#.##...##...#....##...####..###...##..#....#.#.#####.#....###..##.##..##.#..#.#.##.###.#.#...####....#.#.###.#####.....##..#.###.##.#.#.#...##...#..#.#..#.###...#.##..#..#..#.#.#.###..###.......#..#.##.###.#.#..##..#.##.##............##..#..#..#####.#..#####......##..##.#.###.#.#.#.##...#..#..#.######.##....##.###.##..#.##.#..####.#....###.####.#.#.#.............##..#..#..#####.#..#####......##..##.#.###.#.#.#.##...#..#..#.######.##....##.###.##..#.##.#..####.#....###.####.#.#.#.............##..#..#..#####.#..#####......##..##.#.###.#.#.#.##...#..#..#.######.##....##.###.##..#.##.#..####.#....###.####.#.#.#.............##..#..#..#####.#..#####......##..##.#.###.#.#.#.##...#..#..#.######.##....##.###.##..#.##.#..####.#....###.####.#.#.#.............##..#..#..#####.#..#####......##..##.#.###.#.#.#.##...#..#..#.######.##....##.###.##..#.##.#..####.#....###.####.#.#.#.............##..#..#..#####.#..#####......##..##.#.###.#.#.#.##...#..#..#.######.##....##.###.##..#.##.#
.#.....#..##..#..#.#....##.#..##.##.#..#...###..###.###..###...###..##.#....##.##.#..#..##.....##..#..##..##.....#..###.#.#...#..##.#.##....#####.##..######.##.#.###...###...#.#..##.##.##.#.#.#.#....##.##..##....##.##.#..#.##..#.#####.##..##...##.#.#.##.....#####....###..###.###..#..##..#.##..####..###..##.#.####..#.##..##.#.#...#......###.###.###.#..#..#.#.......#.##.#...##.#.#.##.....#####....###..###.###..#..##..#.##..####..###..##.#.####..#.##..##.#.#...#......###.###.###.#..#..#.#.......#.##.#...##.#.#.##.....#####....###..###.###..#..##..#.##..####..###..##.#.####..#.##..##.#.#...#......###.###.###.#..#..#.#.......#.##.#...##.#.#.##.....#####....###..###.###..#..##..#.##..####..###..##.#.####..#.##..##.#.#...#......###.###.###.#..#..#.#.......#.##.#...##.#.#.##.....#####....###..###.###..#..##..#.##..####..###..##.#.####..#.##..##.#.#...#......###.###.###.#..#..#.#.......#.##.#...##.#.#.##.....#####....###..###.###..#..##..#.##..####..###..##.#.####..#.##..##.#.#...#......###.###
#..###..###...##...##.###.#.#.#####..###.###.###.##..#.###..##..###.#..#.#.#.#...#...#.##.#.#.#..####.##..#.#.##..#....##.##...###.##....###.#.##.......#.......#.###...##.###..#.####.#...##.#.#.####.##...#.#...##.#.#..###..##..##..##.#.##.#....#.#####...###....###.#..#....#..#..#.#.........##.#..####.##.###...#.#.#..###.##....#.#####...####.#..#...####..#.#....###..#.##...#.#####...###....###.#..#....#..#..#.#.........##.#..####.##.###...#.#.#..###.##....#.#####...####.#..#...####..#.#....###..#.##...#.#####...###....###.#..#....#..#..#.#.........##.#..####.##.###...#.#.#..###.##....#.#####...####.#..#...####..#.#....###..#.##...#.#####...###....###.#..#....#..#..#.#.........##.#..####.##.###...#.#.#..###.##....#.#####...####.#..#...####..#.#....###..#.##...#.#####...###....###.#..#....#..#..#.#.........##.#..####.##.###...#.#.#..###.##....#.#####...####.#..#...####..#.#....###..#.##...#.#####...###....###.#..#....#..#..#.#.........##.#..####.##.###...#.#.#..###.##....#.#####...####.#.
#.#...#.##.###...#.#...#........#..#...#..###.#.#######.###.##.#...######.....#.#..#.##...#.#....#...#.##.##.#####.....#.#####..##.#.#.#.....##.#...#...#.#.#######.###..##.#..#...#....#.#...##..#.###.##.#.#.#.#.####..#.###..#...########.######..#.#..##.##..#.......#..#.###..#####..#....#..###..###.###...###....##.##.#####...#...##.####.#..#....#.##..####..######.#..#.#.##..#.#..##.##..#.......#..#.###..#####..#....#..###..###.###...###....##.##.#####...#...##.####.#..#....#.##..####..######.#..#.#.##..#.#..##.##..#.......#..#.###..#####..#....#..###..###.###...###....##.##.#####...#...##.####.#..#....#.##..####..######.#..#.#.##..#.#..##.##..#.......#..#.###..#####..#....#..###..###.###...###....##.##.#####...#...##.####.#..#....#.##..####..######.#..#.#.##..#.#..##.##..#.......#..#.###..#####..#....#..###..###.###...###....##.##.#####...#...##.####.#..#....#.##..####..######.#..#.#.##..#.#..##.##..#.......#..#.###..#####..#....#..###..###.###...###....##.##.#####...#...##.####.#..#...
#..#.#..#.####..####.#####.##.##...####...#.#.....#.#.#...#.###.....##.#..##..#####.#..######.....####.#....##....##.##.#..###..#...##.#.#.##.#.#.#.##.###..##..#.###..###.###.....#.#####.....##.##...##...#...#.#.#.....##..#.#.#...#..##..####...#..##..###..###....##..##.#..#.##.#.#.###.#.####.#.#..#.#..#...#..###....##.#....#.######..#.######.#..##.#.####...#.##..#.#..##...#..##..###..###....##..##.#..#.##.#.#.###.#.####.#.#..#.#..#...#..###....##.#....#.######..#.######.#..##.#.####...#.##..#.#..##...#..##..###..###....##..##.#..#.##.#.#.###.#.####.#.#..#.#..#...#..###....##.#....#.######..#.######.#..##.#.####...#.##..#.#..##...#..##..###..###....##..##.#..#.##.#.#.###.#.####.#.#..#.#..#...#..###....##.#....#.######..#.######.#..##.#.####...#.##..#.#..##...#..##..###..###....##..##.#..#.##.#.#.###.#.####.#.#..#.#..#...#..###....##.#....#.######..#.######.#..##.#.####...#.##..#.#..##...#..##..###..###....##..##.#..#.##.#.#.###.#.####.#.#..#.#..#...#..###....##.#....#.######..#.######.#
..#####...#.#.#.#.#...#.##..#..#....##.##..#..###...###.#..#.##..##..########.##.#.##.#.#....#.#.###.###.#.#...###...#.##.#......##.......##...###.#.###.#####.#...#.#.#.###.###..#...####..##...#.###.#####..####.##.#..#......#...#.##.##..#.....#####...#.#.########..#.####.####.#.#.#.####....#.###...######..#.###.##..#.#..##.#.#.##..###.##.##..#..#.#..#.##....#.##..######..#####...#.#.########..#.####.####.#.#.#.####....#.###...######..#.###.##..#.#..##.#.#.##..###.##.##..#..#.#..#.##....#.##..######..#####...#.#.########..#.####.####.#.#.#.####....#.###...######..#.###.##..#.#..##.#.#.##..###.##.##..#..#.#..#.##....#.##..######..#####...#.#.########..#.####.####.#.#.#.####....#.###...######..#.###.##..#.#..##.#.#.##..###.##.##..#..#.#..#.##....#.##..######..#####...#.#.########..#.####.####.#.#.#.####....#.###...######..#.######..#.#..##.#.#.##..###.##.##..#..#.#..#.##....#.##..######..#####...#.#.########..#.####.####.#.#.#.####....#.###...######..#.###.##..#.#..##.#.#.##..###.##.##..#
###..#.#####.#.##.######....#.#.#..##..#....#...#...##..##..##......##....##..#...#.##.#..#######.##.##...#..#######..####...##.##.#...##.##.#.#.#..........#.##.......###..#..#...##...##..#.#...###.##..#.....##.#.#..#.....#.#.#..#....##.###...###..##.#.#...#..##.#..#.#....###.##....#....##.#.###...##..#..#...##.##.##.#.#.#.##...#.######..#..##.#..###...#.#.#.#####.####...###..##.#.#...#..##.#..#......###.##....#....##.#.###...##..#..#...##.##.##.#.#.#.##...#.######..#..##.#..###...#.#.#.#####.####...###..##.#.#...#..##.#..#......###.##....#....##.#.###...##..#..#...##.##.##.#.#.#.##...#.######..#..##.#..###...#.#.#.#####.####...###..##.#.#...#..##.#..#......###.##....#....##.#.###...##..#..#...##.##.##.#.#.#.##...#.######..#..##.#..###...#.#.#.#####.####...###..##.#.#...#..##.#..#......###.##....#....##.#.###...##..#..#...##.##.##.#.#.#.##...#.######..#..##.#..###...#.#.#.#####.####...###..##.#.#...#..##.#..#......###.##....#....##.#.###...##..#..#...##.##.##.#.#.#.##...#.######..#..##
..#...#.####.##.#.#....##.###.###..#####...##..####.#..###.#.........###.#..#####.#.##.#.#.#...#.#.##.#.#.#.#....##.#####.#..##..#.#.##..#...##..##.....#.##.##.....##.#....####..####.###.###.##..#...##.#.#..##.#..##.#.####.#..###.###.#..#...#..#..#..##.##..#.##.##.....####..#......##.#.##.####.#....###.##....#.#.##..#..#.#.#.#.###..##.#....#.###..####..#.....###.##.#...#..#..#..##.##..#.##.##.....####..#......##.#.##.####.#....###.##....#.#.##..#..#.#.#.#.###..##.#....#.###..####..#.....###.##.#...#..#..#..##.##..#.##.##.....####..#......##.#.##.####.#....###.##....#.#.##..#..#.#.#.#.###..##.#....#.###..####..#.....###.##.#...#..#..#..##.##..#.##.##.....####..#......##.#.##.####.#....###.##....#.#.##..#..#.#.#.#.###..##.#....#.###..####..#.....###.##.#...#..#..#..##.##..#.##.##.....####..#......##.#.##.####.#....###.##....#.#.##..#..#.#.#.#.###..##.#....#.###..####..#.....###.##.#...#..#..#..##.##..#.##.##.....####..#......##.#.##.####.#....###.##....#.#.##..#..#.#.#.#.###..##.#....#.#
.#####...#.##....#...#.#####..###...........#..#.....#.#..###..###.###.#..###.####.##.#..###.##.#.#.#.##.###.##...##..#.#..###.#.###....#..####.#.##....##.##.#..##.###.#.#...####.###..#.###..##.#..#.#####..#.#.##.#..##.##....#..###.###.#.#####..#....##.####.###.###.#.#...##.#...##.#.#..##..#..#######.###.#..#.....#.#...#...####.##.#..#.#..###....#.#..#.#.#####..##..###.##..#....##.####.###.###.#.#...##.#...##.#.#..##..#..#######.###.#..#.....#.#...#...####.##.#..#.#..###....#.#..#.#.#####..##..###.##..#....##.####.###.###.#.#...##.#...##.#.#..##..#..#######.###.#..#.....#.#...#...####.##.#..#.#..###....#.#..#.#.#####..##..###.##..#....##.####.###.###.#.#...##.#...##.#.#..##..#..#######.###.#..#.....#.#...#...####.##.#..#.#..###....#.#..#.#.#####..##..###.##..#....##.####.###.###.#.#...##.#...##.#.#..##..#..#######.###.#..#.....#.#...#...####.##.#..#.#..###....#.#..#.#.#####..##..###.##..#....##.####.###.###.#.#...##.#...##.#.#..##..#..#######.###.#..#.....#.#...#...####.##.#..#.#..###.
.##.#.#.#####.##..####...####..###..##.#..#.###.#...#.#..#.##.#.#......####..###..##.####......####...##.#..#..###.###...#..#..#.#..######.##...##..#.#.#....##..###..#..##.###.###.######...#.###..#...#.#..#...#..#...#.#..#.#.....##.##......#.###.#.##..#.###..#....#.#...#.###.##.###..####.##...#...#.#..#.##...#.#####..##.###.#.#..#..##.#.....#.#...#.......#.#..#.##..#..#.###.#.##..#.###..#....#.#...#.###.##.###..####.##...#...#.#..#.##...#.#####..##.###.#.#..#..##.#.....#.#...#.......#.#..#.##..#..#.###.#.##..#.###..#....#.#...#.###.##.###..####.##...#...#.#..#.##...#.#####..##.###.#.#..#..##.#.....#.#...#.......#.#..#.##..#..#.###.#.##..#.###..#....#.#...#.###.##.###..####.##...#...#.#..#.##...#.#####..##.###.#.#..#..##.#.....#.#...#.......#.#..#.##..#..#.###.#.##..#.###..#....#.#...#.###.##.###..####.##...#...#.#..#.##...#.#####..##.###.#.#..#..##.#.....#.#...#.......#.#..#.##..#..#.###.#.##..#.###..#....#.#...#.###.##.###..####.##...#...#.#..#.##...#.#####..##.###.#.#..#..##.#.....#.
.#..#.#.##.#####....###..#..###..##.####.......#.....###.#.#.......#.##..##..#.###..#####..#..#.##.####..##...##.##.#..#.#...###..##.##.#..#.##..##...#.##.#.###..##...##.#..###...#.#.###.#.##.##.....###.####..#.#..##.#.#.#.#....######.#.##......#..#.##.#......##.#....####..#.#.#....#...####.....#.##.#..###..###.####..#..#..###.####....########..##....##.#...##..###.####....#..#.##.#......##.#....####..#.#.#....#...####.....#.##.#..###..###.####..#..#..###.####....########..##....##.#...##..###.####....#..#.##.#......##.#....####..#.#.#....#...####.....#.##.#..###..###.####..#..#..###.####....########..##....##.#...##..###.####....#..#.##.#......##.#....####..#.#.#....#...####.....#.##.#..###..###.####..#..#..###.####....########..##....##.#...##..###.####....#..#.##.#......##.#....####..#.#.#....#...####.....#.##.#..###..###.####..#..#..###.####....########..##....##.#...##..###.####....#..#.##.#......##.#....####..#.#.#....#...####.....#.##.#..###..###.####..#..#..###.####....########
#..#.........#........##.####..##.#.#.##..#.##..#....####.#.##..##....#....##..#######...#####.####..###...#.#.####.#.#.##.....###..##...##..###....#.#...###....#....####.#.#.#.#.....#.#.##..##.....#.#.#..###.#####.#..######..#....#.##.##.######.#.####....#..##.#..##..##....##......#.##..#...#.#..#..#.#.###..##...##..###....###.##..###..#..#.##.#..###......#####.#......####.#..###....#..##.#..##..##....##......#.##..#...#.#..#..#.#.###..##...##..###....###.##..###..#..#.##.#..###......#####.#......####.#..###....#..##.#..##..##....##......#.##..#...#.#..#..#.#.###..##...##..###....###.##..###..#..#.##.#..###......#####.#......####.#..###....#..##.#..##..##....##......#.##..#...#.#..#..#.#.###..##...##..###....###.##..###..#..#.##.#..###......#####.#......####.#..###....#..##.#..##..##....##......#.##..#...#.#..#..#.#.###..##...##..###....###.##..###..#..#.##.#..###......#####.#......####.#..###....#..##.#..##..##....##......#.##..#...#.#..#..#.#.###..##...##..###....###.##..###..#..#.#