997
....#.#.#........#..#........#..#...#.##...#...#...#...##..#...#.......#.###.##..#..#..##....#....#.#..........#..#..#......#.....#.....#..#.#...#.......#..#.#.......##.#....#..#.....#..............#...##.........###...............#..............#.....##..#.....#.......#.#.##..#....#.........#...##..#.#.....#...#...#........#....##....#........##.#...................#.........#....##..#.#..........##....#...#...#.###.#...#.##.#.##.#....##.#...##......#.....#..........#....#.....#...##..............#....#...#..#..#....#....#.#..#..#.....#..#...........#..#...#.......##.....#.......#..#..#...#..#..#..#..##......#..#..#...#.....#........#....##.#.......#..#........##...#.............##...#...#........#...####.....#......##..#.#.........#..#...#...#....##...###.#.##...#.....#...#...#.....#...##..............#...##.##...##.........#...#.##...##......#.#.........##..##.#..........#.....#..###.#...#...#..#..##.........#.#...##...#.#.........#....................#...#.#....#.#....#........#
###.#.##...#.....#..#....#......#...#.......#...#.....###.............##......#..#.#...##...###...#.#........#.#.....##.....##.#.....#....#..#...#.#.......##.##.......###...##..#...........#...........##.#..........#.......#.#.........#..#..###..#....##......##.#............#..#...#.......#......#.#..#.....##...#...#..#.....##.#.#.......##.....#.....#...........#...###..##........#...#.......#.#.............#.......#.#...#..#..###..#.....##....#.#....#.....##............#.#.....###.#...#...#...##....#.........##.....#.............#.....#..##........#.#..#.........#..#......#....###.##......#..#.#......###..#...#........#...................#..#....#..#...#.......#..#.........#.....#....#.....#.......##.#..#.....##......######..##...#.#..#.......#.#.#.....##....#...##.....#.....#.#.#...#....#....##....##.......#.#.....#.............#.#....#.#...#.#.#..........#..#.##...#.....#.##...####...#.......##..........##...##.....#.#...#.....#...##...#...........#....#....#......#.#........#.#.
.#..#..##........#..#....#............##.......##...#...#..#...........#.##.##..##.##......#.#......#.#......#.......#.#....##.##....#...##.#.#.....##...#.#..........#.##...##..#...........#.....#..#.###.#.......#.#........###.........#..#..##...##.#.##......##.#..#....#.#.#.......#.......#.......#..#.#.............#........##.#..#....#.......#...#...#.....#........##...##....#...###....#........#...........#...#.#...##..#..#.......#...#......#...#....................#.##.......#..#.#.....##...##.......#..##..##..#.###....#.#.......#.......#........#.##.#..#......#........#..........##..#.....#.#....................#.#.............#.....#..#.........#.....#........#.#.......#..........##..........#....###......#......##....#...#...#....#...#...#.#..##.......#.#...#.....#......#.......#...##..........##..#...#..##................#.#.###..##..#.#...#.......#..#.#.###.#...............##.......#.#..#..#.....#..#...............#..........#....##...........#.#.##.##.#........#...........#
##..#....#..........#......#.#..#...#....#.##...#..##...#..................####.##..#...#.#...#.......#..#.#.#...##.............#.#.....###.#....#...#...#.#####......####....#.....#..............#..#..##.#.......#.##.........#.....#...#..#..#.....#...##...#...#.##..#...#...........#.......#..#....##.....#.......#...#......##...##.#.#.....#...###........#........#...##.........#...##...#.#...#....#..#........#.........##....##..##...#.....#.....#.#....#......#...#......##..##.....#.#....#..##.#.##..#.#............#..###....#.....#...#...#.###...#.#..........#........##...........#...##............#..#..#.#.....#..#..#...............#.....#.##.#....#.....#..#....###...........#..............#.#.....###....##.....#.........#..#.......#.#...#..#.....#.#..#.#......#....#...##....#.#...........#...........##..#...##..#..#.#......##...#.....#...#......#.#....#..#....##.#.......#..##.....###.##.....#....#.#..##.#.........#........#.#.........##......................#.........#.#..#.....#.#.
.#......#..#.............#......#.#....#.#.#...##.....#.#..#..........#.......#.##.....##..#..#...#.#....#.#.#.#.....#.#....##.#...#....#..#.##............####.........#.....#..#..#........#.....#..#....##.........#........#.#.....#..###.....#....#.#..#...#...#..#.##.....#.#.......#..........#....#..#.#.#...#...#...#......####.##.#.......#...#.##.#.....#.........#..##....#....#...###....#....#...#..#.#......#...#.....#........###........#....##..#....#......#...##....####.##..#..#.###..#..##....##......#..##...#..#...#....#.#.....#.......#.....#.#..#.##....#......#.......###....#...##...#..#..#.#...#..###......#.#..#.#..................#...#......#......#......#...#.#.......#.....##...#...#..........#...##.....##.......###....#....#.....#............#..##...#...#.#....###...#.........#....##.............#...#......#.#................##...##.#.#.#...............#.##.#....#...#.....#.#.####..#.#..#..#.....#..##...###....#.#.........#.......#...........##.#..#.#.......#.#.##.......#..#
##..#.#..#.#.....#.........#.#..#...#.##.#..#..##..##..##..#..........#..#.#.#...#.....##.#####...#.#....#..####..#....#.....#.......#...###.....#...#...#...#.#.........#.......#..#..............#..#.#.##.........##........#..........#.#.#..#.....#...#....#..#..##..#........#..#......................#.#.....#...#......#.....##..#.#.#..#.##...#.##.#..##.....#....##....#...#....#...##..#......#.........#......#...#.###.......##.#.#..##....##.......##...#.....#.....#....##.#..#......#..#......#.#.#........#..##.....##..##......#...#.#.#.....##......#..#....#..#........##....###....##......#.........#.....##...#..#...............#....##....#.....#....#..#..#..#....#.....#......##.....#................#..#..#.#..............#.##........#..............#.##....#...###...##...#.#...#.............#.#....#....##......##.##..#...........#.#....#.#..#..#.............#..#.#.###......#...###....####.##..#....##.#..##.#..##.....#....#...........#..##..................#.......#....#.#..#.#.....#.#.
#...#..##..#.....#..#.............#...#....#....#..#...........#......##...#.#......#..##..#..#...#.#......##....##..##.....##..#.#.........####.....#.....#..#........#.....#......#..............#........#.......###..........#........#####....#..#.....#......#..##......#.#........................#....##.#..##...#...#..#...##.#..#.#....#..#....#.#.....#.#...#....#...#....#.........#..........#..#.#.#..#..#.......#.....##..#.#...##.......##....#.#......#.....#....##.......#..#....#.#.##..#..##.#.....#....#......##.#..###....#.#..##...#...#.###........#..#....#.........#....#........#.#....#..#....##..#..#...#....#.#....#.#..........#...#.#...#...............#....#.#...........#......#...#.............##..................#..#...........#...#..#...#...##.#.####..###..##....#....#.#.#.....#....##..........#..#.......#..#.#.......#.#.#...##.#..#....#...#....#..#.##...#...#.#.....##.#...###.##.#..###...#.#..#..#...#...#......#.#.........#..##....#...........#.#.##.#.........#.##..........#
.#......##...............#...#..#.#.#.#..#......#..#...#.......#.........##.#....#.##...#..#.##...#.#................#......#......#.#...######.............#................##.....#........#..#.....#....#........#.#.........##.....#...#..#..###..#..#..#......##.#.......#.#.##......#..........#...#....#.................#...##.#..#.#.#..#.#......##.#.....#.........#.............#...##.....#...##...................#.#...#......#.#.....#......#...##......#.....##...##.....###.#........##...#...#.#.#...#....#...#..##.....#.....#.#...#...#......##...#.#..#.#............#.#.....#......###...#.#...................#....#....#.#.......#....##..#.#..#..#.......#.....#....#...#.#......#.......#...#.....#.....###..###......##.....#..##....##...#.#...#..#...#.#.##.#.#.#...##.#.......##...#.#...#...#...#.#....#....#.......##.#.....#.......#.#...#.####..#.............#....##.....#.........##.#....#....##..##.........##.........#.#....#.....#........##...#...........##....#.##......#.#.##.........##
###...##.#.......#.......#........#.#..#...##......#...##......#......#.....#.................#...#.#.......#.##.....#......#..##..#.#...#####.#.#...#...#...##.......#......#.........#........#..#..#...##........##.................#..#.#.........##.#..##.....#.....#......#.........##.........#....##.##......#..............##.....#.....#.##...###..#..#...........#...###..#.....#...#.#..#.....#......##.#.##.........#.......#.#...#.#.......###...##..#.........##...#......#.#.....#.....#......#..#..##...#......#...#.....#.....#....##...#...#...#...#.#.##.......#......#.......###.....##..#......#..#..#.....##.......#....#.#.#...........#..#..#..#.#....#........#....###...#.......#......#....#..#.......##.#..#.#......#.....#..####..##...#.#..#.........#.##.#.#...........#....##...#.....#...#.....#...##....#.......##.#...#.#......##.#.....####...........#.........#....#.#.........##.....#..##.##....#..#..#..##.....#...#.#....#.#.#.#.............##.............#.##.#.......#.#.##.......#.#.
#......##..#........#......#....#.#...##...#...........#...#...#.........#.##.#..#.....#..#.#.#.....#......#.##..#...#.#....#......#.#...........#.###...#.#..#........##....##............................##........#.#.......###.........#..#...##...#...###......#.#...#.....#.#...#...........#..#.....#.#.#.#...#...#................#.#......#....####.#...#...........#...#...##.........##....#...##.#.#.#.........#...#............#.#..#.#....#.##..#.#.#..........##....#......##.##..#.###.....#...#.#.###...#................##....#.#..##.#.#...........#.#..#.#...............#...............#....#..#....#......#.#..#...#.#..#.......................##.#....#......#.#.....#....#......#......#....#.............##.###.......#.......#..#..............#..........#.#...#.#.#.#.#.......#....#.#.#.....#....##....#....#...#...##.##..#.#......##.#...#.#.#..###.#.#........#..#.##.#...#.#........#.......####....#.#...#....##..........#....##.....#.....#..##...##..........#.......#.......#.#..#..........#
..#...####.......#..#....#........#...##....#...#.....#....#...........#.#.#.##........##.##........#....#.....#.#..........#...#.......##.#####.#.#........#.........##.#....#..#..#........#........#.##..#........#...........#.........###....##.....#..#...#...#..#..........#...#....#......#..#...##....#.#...........#......####.##.#...........##...#..##..........##..#.....#........#.#.#..#...#......#..#.#............#........#.#....#....##.#..###......#......#....#....#....##..#.......................#..#..#...#...#........#.#...#...#...#.......#....#.#.....#......#..............###.#.......#........#..#.#.....##.#..#...............#..#.##.#..............#.......#....#.......#.....#.....#..........##.#.#..#......#.....#.##......#...#.#...#..#...#...####....#.#...#............#.....#...#...###...##.....#......#..#...##........#.......###...##...#.#......#.....#....##.#.#..#..#.#....##.#.###....#..##.......#.......###...#....#.#.............#............#.........#.........#.......#...
##....#....#.................#......#......##..#...#..##...#..........#..##.#...#..##..##...##....#......#....#......###........#.......###.#.#..#.#.......#.#.........#...............#.....#..#.....#.##..........##.#.......###............#..........#...#.....#..#...........................#..#...#.#...#....#...........#...#..#....#....#..#...#.......##..........##..#.....#.........#.....#...#.......#....#...#...#.#.#.##..#.##.#.##.#.....##.....#.#....#................##...##..#.....##.....#..#.#...............#............#.#..#....#.....##........##..#.#..#.........................#.#.....#....##..#..###..#...#.#..#.#.......#....##..#..#.#.......#......#.#....###.#........#...............#.#......##...........#.........#......#...#....##..#.....#.##.#.#.##..###..##...#.....#.#.#.#........##...##....#...#....#.##...##.......#.#...#.##.#.......#.#.#....#.....#.#####......#.....#...######.#..##...#.....##.#.......#........#.#.......#..#.#..#...........#....##.##..........#............
#.#...#..#.......#..............#.#...#....#........#......#.............#....#..#.##...#...#.....#...#..#.##.#...#...##....#...#.##.#...##...##...........#.............#...##........#.....#.....#..#.##.##.......#..........###..........#.....##...#...###..#..##.....#.....#..#..............#..#...##...#..#...#...#......#.....#...##..#..#.##......#....##.....#.....#..###..##........#.#....#....#.#......#.#....#..........#..#.##.#.#...#....##...###..#...#.....#....##.....#.#.##....#...##..#..#......#.#.......#...#...#..#.....#....##..........##...#.#.##.#......#.......##.....##....###.#....#..#...............#...#..#..#...#.....#....#...#.##.##......#......#.#....#............#......#.................###.#.##.....#......#..#.##..#......#...#......#.#.#.#..####...#....#...###.......#.#.......#.....##....##.......#.#.....#................##...#..#...#......#.....#..#....#.#.....##.....#.#.##.#..#.#..#......#...........#......#.#.#.........##..##..........##.#..#....#....#............#.#.
.#..#.#.##.#.....#.........#....#...#..#...#....#..#..##...#...#......#...#.#.......#..##.#####.....#.#....#.#.......###.....#..#.##......####...#.###...#.#.##.........##.......#.....#.....#...........#.##....................#........##.#...#.........##...#...#..#......#.#.##......##.........#...........#..................#.##.####.#..#.##....###.#...............#...#.............##..##.....##...#..#...#..........###.##.....#..##..#....##....#.#..#...#......#..........###.....#..##.#.......#.#..#....#..#..##..##.##..##.........##.#.....#.#.#...#......##....#......#..#....##.....##...#......#....#......#...##..##......#.............#..#..#..#.#....#..#..##.#.....##...#........................#.....#.....###................#....#.............#...#.#......#....#####.##...#.#.......................##....#...#...#.......##......#..#...#......##..#.....#....#.......#.#...#.#..#...#.#...#.##..#...#..........##.#...#...###...##.#.#.#.....#...##..............#.....#.#.........#.#..#.....#...
##..#...#..#...............#.#...........#.#...##..##.#....#...#......##...#..#..#..#......#..#.......#.....###....................#....#..####..#.##........#..........#....#...#..#..#..............#..#...........#.#...............#...#.##....#..#.........#.....#..#........##.......#......#.......#..#.#....#........#..#.....#..##.#....#.##...#.##.......#...#....##..##.........#...##.........##.#.#.##.#..#.........###..#....#...#...##...##.#......##.........##...#.....##.#.#.........##.....##.#.#.#...#............##...#....#.#..#....#...#..##...#.#..#.#..#..##.....#.......##.......#..##.##..#....#...#..##..##..##.#....#.#.....#........#..#................#......#...#................#...##....#.....###.....#.....#.........##.#..##...#.#...#..#...#.#..#.#....#.#####.##...#.....#.#.#.#...#...#.#...#.........#......#.....#.........#.....#.##.##..#.#........#..#..#...###.#.#......#......#.###....###...#.....#.....#...###...#............#...#....#.............#..#..#.#....#...##.#.....#.#.
..#.#...............#......#.#..#...#..........#...#....#..............#.#..#.#.##.##...#.##.##...#.#.#.....#..#..#..###....##..#....#..#.#...##.#.#........#..#.......###...##..#..............#..#.....##.....................#.........##..#..#....##.#.##...#...#.##.#......#.#.......##..............##..#..#.......#............##.#...............##..#..............#.....#..##....#.....#..#......#...#.#.........#...#.##..#.....##.##.#.##.....#.....#......#..........##......##.....#.#.......#..#....#.....#.....#...##.##.###......#...#.......#...#...#......#.....#......#.##......#.....##..#......#..#.........##..#.....#..#.........#....#...#.#..........#........#....##..................##....#..........###...#.......#......#.....#..##........#...........##...#.#..#......#.....#.....#.......#.....#...#.....##..#......#....#.......##.....#...#..#.#.#.#.#.........#......#.#.#.......#......##.#.###..##....#...........#....##...##...#.......#..###...#..........##.......#........#.##.#.....#.##
##..#...##.#.....#..#....#......#.#.#.#....#...##.....#.#..............#..#.###..#.#...##..#.##..........#.#...#..#..##...........##.#.......##..#.###...#.###.#......#.##...#...#..#...........#..#.....####.......####.........#..........##...#....##....##..#.....##..#...#...........##......#..#...###.#.#.#..#........#......#.##...#.....#.##...####.....#..........#....#...##....#.....#..#.#...#....#.##.#......#.....#.......#....##.#.##...##.....##.##..............#.....##.#.#.....#................##.#....#.......#..#.#.#.........##...#...#.###...#.#..#..#.#..#.........#.....#.....##..###.#......#.#......##..#....#.#............#..............#.#......................#................#................###.###......#.......#.#..#.......#.#...#........#..##..####.#.##..##.....#...#...#..........##.........#...#...##..#...........#..#.#.#.#.#..#.#...#.#.#.......#.##.###.....#..#..##.....##..####...#...#.....##.#..##....##......#.............##...#...........#......##...................#.#.
##..#..##..#.............#.#.#....#...##...#....#..##.#....#...........#..#..#..##.#...##.##.##...............#..#...#.#....#..#........#.#.#.................##......#.##...#...#..#..#........#.....#...#.#........##........##..........#.....#.....#.#..#...#...#.##.##.....#.##......##..............#..#.#.#..#....#..........##.#..#...#....##...##...#.........#.....#.............#....#.........##.#......#.##...#.......#.....#..#..#...#....#.##..#.#.#....#.....#.....#.....##..##..#.##...#..#.....#.###......#...#..#.....#.#......#.....#.....#..##...#....#.##....#........#............#.....#..#..#..#.#........#..#..#..#..#.........#.....#..#.....#.#...........#.#....###...#......................#.......#.#..#.#..............####....#....#.#...#......#.#.#.##............##...#.#...#.#.......#....##.............#......#....##......#..#...#....#.#.#...#........#..#....#.......#.....#.##.....##...#...#....#.......#..#....#.....##.#...#........###..#...........#....##.#....................#..#
.#..#......#.....#..#....#.#......#.#..#....#.......#.###..#..........##.#.#..#..#.##..##..###......#........###.....##.....#..##.##.#....####.#.#.......#.###.#......#.#........#...........#..#..#..#.#..#....................#......#...##.#..###...#.#..#...#........##...#.#..#......#.......#..#.....#.##..#.......#...#...........#.#............###........#........#...#.#..##....#....#..#.........#...##............#..#..#...#.#..#.....#...##.#..#...#....#......#....#....#.#..#...#.#.###......#........#.#.....#...##..#.#.#....#.#..##.......#..#......#..#.##.#...#.....#.##......#.....##.#....#..............#.#.##..#.......#.............#..#..#.#..........#..##.#.....#...........##.....##....#....#.....#..#.#.#......##.....#..#.##..#......#..........#.#.##.#.#.....#.##......#.....#.............###...#.........#....#.##..###......#..#......#...###...#...#.......#..#.#####...#..#..####...#####......#...##.#.....#.........#....#..............#.#..##..........##.#..#..#......#............#...
#.......#..#.....#...........#....#...#....#....#......##..#...............#.#..#...#..##....##...#...#....#.###......#...........##....#.##..##....#....#..#..#......####....#..#.....#.....#..#..#....#..#........#..#.........#.....#......#..#....##.#.#.#..#..##.#.........#.##......##......#.......##.....#..##..............##.#.........#..#....###....##...........#..###..#.....#....#..#......#..#...##.#.##..........#...#..#..#.##.#.##...###....##..#...#.....#....#..........#...#....###..#..#..#..##.#.#..........#..#.#......#.#...#.#.....#..##.......#..#..#..#......#..#.....#.....#.....#.#...................##..#.....#...............#.......##......#......#.#....#.#...#......##.....#.....#..#.#.....#.##..........##.....##...#...##........##........#...##....#.###...#....##....#.........................#.......##.#.............#.......#.##.#.#.#.#...........#....#.###.........#..#...###.#.##...##..##.#...#.....#...#.#....#.#.#.#.............#...........##.#.##....#........#..#.........
.##.#.####.#........#......#.#..#......#.#.##..##..#..##...#...#......##..###.#..#........#...#...#.#.#....#..##..#...#.....#..#..##.#...#####...#..#....#.#..##......#..#...#...............#.....#..#.#####..........#.......#............###..##....#.#.........##.....#.....#.#........#......#.......##.........#...#...#..#.....##.###.............#.......#.....#....##.......##....#...#...##.....##...#......#....#......#...#..#.##.####.##...#.##....#.#...........#...#.....###..#...#.##......#...#.#..#....#.....#.......#..##..................#..#...........#..#..#...............#.......#...#..#..#.....#..#..##..#...#..#......#.....#.....#....#..##.........#..#..#........#........#......#....##..#.#......###...##............###.##...#....#.#..#...#.....#...#...#...#..##..#...#.#.......#.#...#..........#....##.........##....#.........#.#..........#.#...............#...#.........#..####.....#.###.........#.#...#.#........##........#.......#...##...#..........##...#..#.......#.#.##.......#.#.
###....##..#........#....#.#......#...#..#.....#...#..###..............#..#..##.##.#....#.#..#....#.#.#..#.#...#.#....##....##.#.....#.....#.#.#.....#...#.#.#........##.....#...............#........#.##.##........#.#.........#........#.##...#....##....##.....#......#.....#..#..#....#.............###.#......#...........#....##..........#.......#.........#........##.......#.....#...###....#...##.#...##.#............###.#...#..#.##...#....##......#..#.........#.............#.#.........##.....##.#..##...#.....#....#.#...##....#.......#.....#.#.........##..#....##.......#.......#........#...#......#.#...........#..#..#....#................#.#................#..#........#.#......##......#....#..#.#.......##.#.#......#........#.##...#....#.....................#.##..#..#..#.....#...#.........#...###....#.....#.......#.....###.......#.#...#...##..##.#...#.#....#..#..#.#.##....#........#....##..###...#......#..#..#..#....###...#......#........#.#...#...............##..#..........#........#...
#...#.#..........#..#......#........#.##....#..#........#.............#.....#...#......##.#####...#...#..#...###..#..###....##..#..#....#.#.#..#.#.##....#..#.#........###....#..#...........#.....#..#...#.........#............#........#.##...##...##...##...#......#.#....#.#.....#...#.......#..#.........#....##...#...........#.#..###............##..#.....#...#..............#...................#.......#.#..#.......#.....#......#.####..#....###......#..........##.........###......#.###........##...#.....#.....##........#.#......#..##.................#.#...#.#..#......#.#.....###.....#..#...##.......##..#..##...#..#...............#........#.##..#............##.#....###..........#......#.....#..#........#...##........#.....#.####....#...#........#.......##.#.#.#...##.#.##....#....#...#.....#....#..........##..#...#...#....#.......#.......#....##..#.....#.........#..#.###.#........###....##...##..#.#..##....#.....#....#.#...................##....#..........#....#..#..#....#....#.#.........
###.....#..#.....#.......#...#......#....#..#...#......#...#...#.......#.#.#....#...#..#...#.#........#.......#..#.................#......#.####.#.#.#...#.#.###.......###...##..#..............#.....#..####..........#.......##......#..#.#.#..###...#........#..#.....#......#.....#....#.........#...###........#........#..#...#..#..##..#..#.#.......#.#..#...........#...###............###.##.#...#..#....#...#....#......#...#....##....#..#...#.##....#..#...#...........#....##.#.#...#..#..##..#..##.#.#.....#..#...#...#..#.###....#....##.#.#......#......#..........#........##.....##......#.###.#............#..###..#.....#..#.#.......#.....#..#..#.#.............##.#....###.#.#.......#..........##..#.#......##...##......##.......##.##..#.........#...#.....#..#...#....#..#..#.....##.........#........##..........#.......#..#...##......##.#.#.#.#.#....#.#.#.#.#....#..#....##.#..#.#..#...#.#.......#.#.....#........##....##....#....#......#.....#...#...##..........#..#.##.##.#......#..#.......#..#
..#.#.##.#.#.....#..#...........#.#.#....#..#..##..##.##..............##..##....#...#..#...###....#......#.#.#.......#.#....#...#.##.#..####..#.....#.......##........##.#.........................#.......##.......#.##.........#........#..#.........#............#.#.......#....#..#...#.......#.......#.........#....#..........##...#.........##...#.#.....#..#........#....#...#.....#....##....#...##.#......#.#....#...#.##..#...#..#.#..#.#....##....##...#...#.....##...##.....#...#......#####..#..##...##..#.#..#..##..##.#..#.#....#....##.#.#...#...#...#.#..#.##.....#.......##....#.#.........##..#........#..#...#...#..##.#............#..........#................#.......#.............#......#....#....#.....###....##......#.........###..##...#................####.......##.#.#.....#........#.#...#...#......#........#....#..#....#......#....#......#...#.#.#........#..#....#..#.......#...#.....##.#...#..#...........#.#..#....#.....#....#.#.........##..##...........#.#..#....#....#....#.......#.##
###...##...#........#......#.#........#..#.##..##...#.###..............#.#..#....#.#......#...#..........#..#.##..#....#.......#.........#...###.#.........#.###........##....#.....#.................#.##.##........##........#.......#..###.....##.....#.#.......##..#.##...#....#..#...........#......#.#.#......#........#......#..#..#.#.#..#.#.....##..#...#.#.........#....#..##....#...##.....#........#......#...........#...#..#.#...##...#......#...#.............#....##......##.........#..#..#..#..#.##....#............##.###......#...#.#.....#.##.........#.##.....#.......#.....#.#.....##.#...##..#..#..#.....#.#.#....#....#.#.......#..........##.#.......#..#..##.#......#...#......##......#...##............#...#.#.....#......#...#.#..#......#..##..#...#.#....#.#..#.###..........#...#.#.......#...##..........##.......#.#...###.............#.##.#.....#.#.#...........##...#.....#........#...##....##.......#..#...............#...##.#.#.......#..#.#..##..........#..#..#.##.#.................#.#.
.#....##.#.#.....#..#....#......#.#.#.##...#...#....#...#..#...#...........##.#....##.....##.##..........#..##.......#.#.....#....#......##..##.....#......##.#.......#.##...#.........#........#..#..#.##..........##....................#.#.....##..#..#.#..........##.................................#...###....##.......#..#...##.#..#...#.....#...##..................#...#.#...#....#...#...#..#....#...#....#..........#..##.....#.#..##.#..#...###....##.##..........#...#.....#.....#....####.#......#.#.###.........#.......#.###.........#...........#....#...##....#...#.....................##.###...........#......##..#........#.........#.....#.......##.#....#........#....#.#...#.............#.....#..#.......#.#..##........#...........#............#............#...#.#..####...#.....#.......#.....#....#.....#.....#.........#....##......#..#.....#....##................#.##...#.#...#.......##...##.#.##...##...##.#..##.....#..............#.#.............#...........##...##..............#.......#.#.
###.#.#.#..#.....#..............#.#....#...#...#....#.###..#...#.......#..#.....#...#..##.........#......#...#....#..#.#...........#....####.###.#...#.....###.........#.#...##..#.................#..#.#..#..........#........###.........#.#....#....#....##..#.....##.##.....#.##..#...##......#........#..##.#..##...#...#..#...####......#...........#..#...#..........##..##...##....#...#.#.##..........#..#....#...#...#.#...##..#....####.......#.#..#.#.#....#...................#..#....#.####..#..##.#.##..#.#..#.........##.#........#..##.#.#.......#...#...##.#..#...........##............#...............#...#....#......#.#..#.#.#..........##.....#.##.#....#.....##.#.....##.................##....#....#.....#.#...#.......#......#..###....#.....#..##......#...#..#.##...#####.##...........#.#.....#.....#....#....##..#...........##.......#.#.#...#.....##.....#.#....#.......#.....#.#.....###........#......#................#...###....#...........#..#....#...........#..#.##..#......#...##.#.......#.
#...#.#.#...........#....#...#..#.#....#.#.##..##..#..#...............##.##......#.....#..............#..#.##.#........#.....#.##....#....#......#.##....#...................#...#..#..#.....#..........#..#....................##.....#..##.##..##....#.#.##.......#.#...........#...#...#.......#..#....##.##..#.......#...#..#...#.#...#......#......###.....##.#........##....#..#..............#.....##.....#.....#...#...#...#..#..#.##.###...#....###...#..##...#.....#...........##...#..#.####.#..#..##...#.#.........#...##.##.##.......#..##.#.....#.###...#....#.#......#........#....##.....##.......#.....#.#......###..#..##....#.........#....#...#..#............#..#.........#...#.......#.....#....#..............#.###..................#..........#..##..#...#.#.###..##...###.#.#....#.#...#.#.#.#...#....#.....#.....#......#..##....#......##.#...#...#..#...#.....#....#.....#..#..#.........####...#...#.#.....#..#.....##.#........##....#...#.#........#.#...#...........#.#..#.##......#.#....#.......##
..#.#.####.#.....#.......#.#........#..#...#...##.....#........#.......#..#...#.##..#...#..####.....#.#..#.#...#.##....#.......#...#.#....#..#.#.#..##...#.###.#......#..#...#...............#........#....##........#.#........#..........##....#.#..##.#..#...#..#...#..#.......#........#......#..#...#.#...#.#...#...#...#..#....###....#.......#......#.#..............##...#....#.............#.#..........##.#.##.......#..#..#.....#..#....#......#............#.....#....#.....#..............#...#...#.#.#.#......#.......#.##.###......#..#....#...#.##....#....#.##...........#.#......#.....###..#...#..#..#.##.......#.....##...................#.....#................##.......#..#........#...............#.#.......##..###......#......##..#...##...#.#..#.......#....#.#..#...####.......###.....#.......#...###.........#..........#....#.......#..........##..#....#...#............#.#...#...............#.##..#...#...#..#..##....##...###........#.#.....#..#.#..##..........#..#.#..#.......#....#.......#.##
.#..#.#.#........#..............#...#.##...##..##..##.#....#..........#..###.##.#..##......#..#...#.#........##..##............##.......#.####.#...#.#...#...##..........#.......#.....#.....#.....#.....#.##........#....................#####..#.#..#..#.#....#..##.....#.......#...#...##......#......###.##.....................#.#..#.#.......#....##.#....##.....#....##...##...#........#...##......#.....#.....#...#...#.##..##..#..#.##.#.#....#.##...##.##...#......#...#..........##......###...#..##.#.###.#.#..#..#...##.#.........#....#..#.#...#.#.......#.#..##....##.............#.#....#...........#....#...#..#..........#....#.#.....#....#.....##....#....#......#.#.....#..#........##......#...#............###...#.............###.##...##...#..............#..#...####.##.#.........#...#.............##....#.....##......##.##..#........#..#.#.#..#.#...#.#.#...#....#..#.##.#.###.#.#.....##.#.....#####...#....#.....#..#...#...##.......#.#.......#....#..##...............##..#........#..#.......#...
#.#.#..###.#.....#..#...............#......#...##...#.##...#..........#..#####..##..#..##.#####..........#.....#.#...###........#.##.#..#.#.###......#...#..#.##........#....##..#..#..#.....#..........#.#.#.......#.#........#.......#....###.................#..##.##.##........#.......#......#.......#..#......##...#...#.......#...#.........##.....##.......#...#....##..##...##....#....#.....#......#....#.#.#....#...#..#..#.....#...#.#.##.....#.......##...#......#...#.....##.#.##....##.###..#...................#...##..#........#....#........#..#....#...##.##.#..##........#.....#.......#.#.#.##.....#..#..#...##..........................#......#.##.#....#......#......#...#........#......#.....#..#.......####.................##.#......#...#.....#..#...#.....##.#.#.....##.##...#.....#.#.#.....#.........##.....#..#....#..#...#.......#....#...#....#...#.#...#....#....##..#....#.#.....#..#.....#.#.....###...#....##.#..#....##.......#.........#....#..##..........#..#..#.##........#.#..#.....#.#.
.#.....#.#.#.....#..#.............#.#..#.#..#..##.......#..#...#......##.#.......#.....##.#.#.....#......#.#.###..#..##.....##.#.........##.##.#.#.###...#...###......###........#..............#........###..........#........##......#..#.#.#...#...#..#..#......##.#..#....#.#.....#...#..............#.#.##..#..#.................##...##.#..#.##...#..#.....#..........#....#.........#....#..........#.....#..#......#.....#.#.#...#..#......##....##....#.......#......#...#.......#..##..#......#..#..#....###.#.#......#.................#..#..#.#.....#.#.....#.##....#.........#..#.....##.....#..###........#.....#....#.....#..#....#.......#....##..#.##.##............##.#.....#..#.#...................#..#.......#..#.#........#......###.#....##...#....#...#.....#..#.#.#.##...###......##......#.......#...#.#....#........#......#...#.#......##...#.#...#...#........#....#.......#.#.#...#..#...##....##.....#...##..#..#...#..........#....##...#.#.....#.......#............#.#.#..#..#.........#.........#.
.##...#..#.#.....#..#....#.#.#....#.#.##....#...#...#..#.......#......##.##..#.....##..#.....##...#.........####.....#......#...#.......#.#.####.....#...#.#.#........####...#..................#.....#.#..##.........##........#......#..##.....###..#..#.#.#..#..##.##.##...#....#......##......#..#....##..##.#..#........#......####......#.....#...........#......#....##..#..............#...##.....##........#............###.##....#..##....#...#..#...##..#.........#..........##....#.......##...#..#..#.#.....#.....#...#..##..........#.....#.#...#.#.#.......#..#..#...#..............##....#....#......#..#.#...#..#.#.#....#....#.#............##..#....#.......#.....##.#......#......................#............#....#.#.....##......#.##..................#.......##.#......#.....#....#.#...#.#...........#.#....#.....#.............###.........#.#...##.#.##..#.....#.......#.#..##..#.#.#......#.....######....##..........#..........##......#...#........#.................#...##..#.#......#.##.#........#
.#.....#.#.................#...........#...#.......##..#...#.............#.#..#.#...#..##..##.......#.#....#.###.##..#......#..#..........#...##....##...#.#..#.......#.##...#......#..#.....#..........##.#........##.........###........#.###..#....##....##......#....#........#..........................###.#...........#.......#.#.#..#.......#....##........#............#....##....#...###.##.#......#.#..#............#.###.......#...###..#...#..#...#...#.........#....##.....#.........###.##..#..##...#...........##..##.##.##.....#.#...........#.##....#...##.#..#..##.......#.....#.#....##...##.##.....#.#...#....#..#..##....#.#.#..........##..#..................#..#......#..........##..........#.....#......#...##.......#......###......##.....#..##........#..#...##.#.###.#.......##...#...#..........#....#.....##.........#...#.........#...#.#..#.#.###...#...#....#....#..#.###...#..#...###...#.#...#...##.........#..........#.....#..#.........#..#.....#.............#....#.......#......#.....#..#
.#....###........#.........#....#........#.##..##..#...#...#..........##...#.......##.....#.##......#.#......#.#............#..##..#....#..####............#.#.#......##.#...##..#..#........#.....#.....#.##..................##......#...##.#...##...#...##......#..........#.#.#........#.........#...##...##.#..#....#...#..#...#.#.....#.............#.....##..............##...##........###....#...##..........##...#...#......#..#.##.#.....#...#.#...##.......#..........#......###.#......#####..#...#...##....#..........#..#.##.......#...#.#.#.....##....#......##.#.........#.##....##.....##......#...#..#.#........#.#......#..#.#.#.....#.....#....##.........#..#..#..#....##..#........#......##...#.....#......#.....#......#......#.####........#.#...#......#.#...#..####..#.##..#...#...........#...#.....#....#....##......#.......##......##...#....#.#.#.#.#...#.........#..#..#.#....#.......#....##...#.....##...#.#..............##...#..#...#........###..##..........#..#..#..#......#...#..#........#
###......#.#....................#.#.#.#.....#...#..#...#.................###.##..#.#....#.#..#......#.#..#..###..##.........##....#.....##..###..#.##......#.#........#.#....##.....#..#........#..#....#.###..........#.......#.......#......#..#....##.#.###......#..#.##.....#.#...#...##.................#......#....#...#......##.#.####.#..#.#....####.#..##.....#........###.............##..#.#...##.#......#.#..........#.#.....#..#....#..#...#..#...##.#....#......#............#..#..#.#.#.##..#..#..#.......#..#...#...#..#..##......#.......#...#.#.....#.#....#..#..##.....#.#......##....##..#...##..#....#........#.....#..#.................#.....##.#..#..........##.#.....#...........#......##...#...........#......#......#......#..#.#..............#...........###...##.###.#..#.........#.#.#.....#.........#......#......##.....##.......##.#.#....###.#.....#.#.#..........#.#.#.#.........##.#...#.........#.................#...#.....##...........#...##..#................#.....#......#.#..#........#
#...#...##.#.............#.#.#..#.#...##.#.................#...#...........####.##..#..##..##.#...#...#..#.###.#.##.........#..#..#.....###.#..#.#.#.......#.###.......##....#...#..#..#.....#..#..#..#....##.......##.#........##........#...#..#.....#........#...#.#..##................#.............##...#..#.......#...#..#...##.#....#.#..#.......##.....#..#...#........###.............#..##.....##.#...#..#.##...#...#.#...#...#.....#...##....#........##...#..........#.....##.#..#....#..#.#.....##.#..##.........#.........#......#.#...#.#.......#.#...#.#..#....#...#.......##....#.#........#.#..........#........#..#...#.#..#..............#......#.#..#.......#..#..#.....##.......................#..#.......##.#..###......#........###...##.....#..#...#.....#..#.#...##...#....#...#.#...#.....#.......#.....##....#.......#..##..#.#......#....#.........##.....#.........#.##..###..#.#..#..#.......#####......#..#..#...#.....#...###...#............#...##...#..........##.#.##.##.#....#..............#.
#.#.#...##..........#....#......#.#...##.......#....#...#.................#####.#...#..##.#..#....#...#..#...###..#..###.......#...#.#..##..#....#.#.#.....####........#.#.......#..#........#.....#..#.#.#.........#..#........#......#....##.....#.......#....#..##..#..............#..................#.#.##.....#...........#...#..#.#.#.......##....###...........#....##..###..##....#....#...#.#...##...#......#....#...#..##.....#..#.###...#...#.##..###..#...#......#...#..........##.....##.....#..#.....#..#.#..#...#.........#.......#.....#.....#..##...#...##........#.....#.......#......##..#.#..#.....#.#...#...#...#..#..#....#.#..........##..#.##..#......#.....#........#..#.#......##.....##....#....#.......#...........#......###......#....#.....#......#.#....#.####.#..#........#.........................#............##.#....##......##.....#....#.#.......#.#....#....##.####.......#..###.....###.##..............#..#.......#..................#...##...............#.#.#..##......#.#.#..........#.
#.#...##.#...............#......#......#.#.#...#...#..#....#...#......#..###....##..#..#.....##.....#.#..#..#........###.....#.#..##.....##......#...#...#....##.................#..#..#.....#.....#................#..#........##.....#....#.#..#....##.#......#..##....#....#.#.................#........#...#....##...#............#..#..#.#..#.......###.......#...#....#...###..##..........#.#..#......#...#..#..#...#...#...#.#..............#...#..#....#..#..........#...#.....##.#.........#.#......##.....#......#..##..##.....#.....#.#.......#.....###.....#.##.#..#...#...............#.....#....#.##..............#....#...#....#.#.#.................#..#.#....#........#.....#....#......##.....##.......#.#........#.#..#......#..........#....#........#...#.......###..###...#.....#...#.#...#...#.....#..........#............##.##..#.#......##...#.#.####.....#.#...#....#....##.##..#...#.....###....#.#.#.....##................#...#.#....#.#.........#...#...#............#.#..#.##..........#..#.....#.#.
..#.#.#.##...............#......#.#.........#..#...#..#....#...#......#..#..##.....##...#.....#.....#.#.....###...#.........##.#..##....##.#...#.........#.#...#......###.....#.................#..#..#.#.##........####...............#..#..##..##...#..#...#..#..#......#...#.#..#......##......#.......##.###....#....#...#..#....##...###.#..#.......###.#..#..#...#....##..##....#..........#....#...##.#.#..#....#...#...#......#..#.#..##........#..#..#.#..#.........#...........#...##.....###....#..#..#..#..#........#...#..#...#.........##.......#...........#........##.....#.##.....##.....#...##.#...#..#.##.....##......#.......#.#.....#....#...#.##.#..#....#..#..##.......##.#.#......##.....##.......#.........#...##.............#..#.....#......#..##...........###...#..#......#...##....#.....#.......##....#......#..#......#...............#...#.##.#.##..#.#...........#.##..#....#....#..###.....#.#####...#............#..##...##....##.#...#.....#..##...##..........#....#..##.#....#...##..........#
.#..#..##........#..#......#...........#.#.#...##..##..#.......#......##..##....#...#..##.........#.#....#.#...#.##...##....#........#...####..#.#.........####.......#..#.......#..............#.......#.............#.........##.....#...####...#...##.#...#..#.....##.##...#....#......##.............#.#.###.#..#....#...#.......#.#..##..#..#.##...#.#.....#..#...#....##...##..#...........#.##......#.#....#.#.##...#.....###..#........#.#..#....###..#.#..#.........##...##....###..##..#.#..##...#........#..#....#..#......##.#........#..##.......#.......#......#......#.....#.........#....#.......#........##..#...#...#..##.#..#.#.#.....#....##.....#..#.#....#..#............#.#.#......#.......#...#............#.#...........#.....#.####...#....#.#..##..#...#.#...##.#....##.##.##...#.#.....#.#...........#..........#..#...#.......##......#......#...##.##....#.#......#....##.#.#.....#.....###.....#.#.#.........##....##.#..##...##.....#...#...........##.................#.##....#....#...#..#.....#.#.
###.#.##.#.......#..#....#.#......#.#.##...##..##......##..#...#......##.##.###.##..#..##....#....#......#.##..#.......#........#.##....##..#.##....#....#.#.##........#.#...#......#........#........#..###..........##.......###.....#..##.#...#.#..##.#.#.#..#..##..#......#...#.......##.........#.....#..##.....#.......#......###..###..#.....#...##.#.#..##.#.........#...##..##........###..#......#.#......#.............##..#.....#...........#..#.......#...#.....##....#....##.#..#..#.#..#.#..#...#.#..##...#.............#..#.......#.....#.......###................#...............##........###..#..#..#.##..#..#...#...#.........#.....#........#..#..#.#...................##.#........##...........#....#.....##...#.........#.....#.##..#..##...#.#..#.........#.#.##.#.....#.##.##....##...#.............##....#......#.......#.##..#.#.........#...#..#...##..#.....#.......#....#####.........#.#...........#........#....##....##.........#..#...#.....#..###..#...........#....#..#..#....#.#..#.#.....#...
#.#....#.#.................#.#....#.#.##.#..#..##..##..##................#..##..#......##.....#.....#.#........#..#..###....##..#.#.........##.#.#.......#...#.........#.....#...#..#...........#..#.....#............#..........#.....#..#####...##..##.#.#.......#..#..##...#.......#...........#.......##..##......................##.##.........#...###.....#......#....##..#.#..##....#...###..#.#....#.#........#....#...#...#..#.....#....#.......##....##..#..........#..........#.#.......##...#.....##.........#..#...#..##...........#....#..#.#...#..#....#...#..##....#.........#.....##....###.##...............#.......#...#....#..............#...#.##............#..#..#........#................#....#..#..........#..##.............#.#...#.......#.#..##......#.#.####...##...###.##...###.....#.#.........##.....#........#......#.....#......##.....#.#....#...#.#........#....##.##.##.#....#...#.#.......##.#..#....#..#..##.#..#....###...#..#.#.#.....#....#..#................#..##.#........#..#.......#.
.##...#.#........#..#......#......#.#.#..#.#...##..##..##..............#......#..#..........#.#...#.#....#...##...#...##........#.......####.###.....#.......#.#......#..#...#......#..#........#..#....##.#........####.......##......#....#.#..###..##....##..#..#..#.......#...........#..............#.......#..#...........#...#.#..#.#.......##...#....................#....#...#........#...##.#...##.#...#..#..........#.##..#...#....###..#....###....#...#...#......#....#.....#.#.#...#.#.##.#..#........##..........#..##.##.#...........##...#.......#.....#.......#.........#..#....##.....#.#.........#............#...#..##.#......#..........#...#.#..#..#.......#..##......###.#.........#.....#....#...........##............##.....####.##.......#.#..##...........#...####.###.#.......##...#.#.#.....#...#.....##....##......#.......##.......#.....#.......##............#..#..#.##..#......#..####...####.###...##...#.......#..##............#.........#...#...#...........#..#..#.#.......#....#.#.....#.#.
###...#..#.......#.......#.#..........##.#.##..##..#..##..............#....##...#..#....#.###.......#......##.##......##.....#.#..##.....##.##.#.#.#.....#..#..#......##.#...##..#..............#..#....##.##........###.......#.#........#.###..##....#...#..........##......#.#....................#....#..###....#........#..#....#...#..#....#.#....#.#..#...............#..###...#....#...#.#..#.....#...........##...#.....##..#........#.##.#....#..#..#..............#....##.....#....#..#.##.###.....#........#....#..##...#..#..##......#..#..#.#...#.#.#...#....#.#......#.......#.............##.##......#..#.#...#....#......#.#..................#....##.#.......#..#..##..........#.........#.....#....#...#........#...#..#............###.......#...#........#...#....#.#.##.#.....#.##.............#.....#..........#....##..#....#.#...###......#........##...#.#.....#......#........##.#.........##.......##...#....#..##.....#.#.......#.....##.#...#.........................##....#.##.#....#.#..#.........##
#.#.#.#.#...........#....#......#.#....#.#.#........#.##...............#..#..#..##........##......#......#.#...#.....#.#.....#..#.#..#.........#...###...#..#.........#..#...#...#..#.................#.####........#.#........###.....#..#####..#.#..##.#..##.....##.#.......#.#..#..#...##......#......#.#.#.#.............#.........#.##.........#....#.#.#..#......#.....#...##........#...##..#..#...##...#..#...##...#.......#.....#..#..#.#..#....###...#.............#............#........#...#...#..##...#...#....#..#....#.##.##.....#.......#.......#.#...#....#........#.............#......###.#...##..#....#...#..#.#.#.........#...#..........##..#.#..........#..#...#......##..#...............##...#...........#..#..#.#......#.....##..##........#.#...#..#...#...###..##.....#....#...###...#.#.#.#.........#...##........#...##..#..#.#...............#..#..##.......#....#..#....##..#...#..#..#.##......#.###..#.#..#..#..##.....#.....#....#...#.......#..#.#..##...........#.#.##....#....#...............#
.#..#..###.......#..#....#...#..#...#..#....#......#..###..#...#......##.#####......#..##..####...#...#..#....##..#...##....#......#.#...##..###.#..#.......#.#.......####...##........#.....#..#..#..#.###.........##...........#........#####..###...#...........##.##..#...#.#.##.................#...###.#.#.#..##.......#......##...###..#..#.##...###..#..#......#.....#...##..#.....#....#..#......##......#.#.##.........###.#.....#..##.#.##...#.....###.##.........#.....#.......#.##..#...####..#..#..#..##...................###....#....##.#.#.............#.##.##...........#..#....###....#...#.......#.....#..#...##.##...#......#.......#........#.##.#.......#..............#....#.......#..........##..#........#.#.#..#.............##..#....#.........#..#........#...#.##.#...........#......#...#...#.........#.....##..#...##......#.......##.#.#....#...#.#..................................#.##...##..#..#..##....#.#..##....##...###...#...............###...............#.#.#..#..#.....................
......##.#.#........#......#.#..#.#.#......##...#.....##.......#......#...##.##.#...#..#.....#....#......#.#####.##....#....##..#.#..#..##...#.#...##....#....#........##...........#........#..........#...#.......##.#.......#...........##....###...#....##......#.##.##...#...#.......#..................##......#...#..........##.#.###..#....#.....###....#..#...#........#.#........#....##..#......#........#..#..........#..##.......#.##.......#.....#...#.........#....#.....#..#..#..#.##..##..#...#.#.###.#.#..#......#...#..#..........##.#.....#.#.#...#.#....##....##.....#.......#.......#...#...........##......##..#..#.......#.#.....#....##..#....#..........#...#.#.....#..#.....................#..#........#.#.####.............##.##....#........##......#.#..###.#.##.##.##..#.....#...#.#.#.#........#......................#..##.......#........####..##.......#..........#.#.###.#.#.............#.###....#....##....#..#..##...#.....##..............###..##...........#.#..#.##......#.#.##.#.....#...
......#.#..#........#........#..#.#...##...#.......##..##..#...........#.#.###..#..##.....#.#.....#.#.#......#.#..#...##........#.#..#..###..#......#.......#.#.......#......##..............#..#.......#.............##........##........#..#........#.....#...#.....##..#...............#.......#..#.........#................#....##....#........#...##...#...#.#...#....#...##....#....#.....#..#.....##........#......#...#..#..#........##....#....#.#...##..#...#.....#..........####.#........###.....#..#.#...#.#..#..##.....#..###....#....##...#......#......#.##....#..##..............##......#..#.........#..#..#....#.#......#......#.....#.....#....#..##.........#..##......#.....#......##..........#...#.......###...#..............#.##..#...#...#.....#..........###...#.....#.#..#....#......#.#.#........##...#......#.......#.....#.#.........#........#...#.#..........#..#.......##.#.#.......##...#.#####...##....#.......#..#....###....#.#...#..............#..........##...##.##......#.#.##.........##
#.....####.#.....#.......#...#....#.#.#....#....#......#...#...#..........#.....##...........#....#......#.#..##.....###.....#.#..#.....#...#..#...###...#.##...........#....#......#..#.....#..........#####.............................##..#..#...........#..#.....##.#.........#..#...##......#........#..#..#..............#...#.#...#...#..#..#...#.#..#.....#........#...##...#.........###.##.....##.#.#.##.#......#......##.#...........#..#....###...........#......#...............#..#.#..##...#.....#.#.#...#......#..#...#..#.....#.....#.#.......###.......#.....#..##.....#..#.....##.........##..#..#....##..#......#...##.#..#...#.....#....#...#.#...#.#....#..#...#......##..................##...##..#.#.....#.#..##.#......#.....####.##..#....#....##..........#.##.###..#.#....#...###.............#.....#....#....##..#...##.......#.......#...#...##.#.....#.#.#.........#....#..##.#.#..#...#.#...####.#....#...........#.#.......##.....#.#............#....##...........#......##.#....#.#.##.........##
..#.#..##........#.......#...#..#.#.#..#............#..##......#...........#.#...#........##.##...#...#.....##...#...#.#........#.##.....#..####.#.#.#.....#..........#.#....##..#..#..#.....#..#..#.......#.........#.#.......#.#.........#.#...#.......#...#.....##.............#..................#.....#.###.#.......#......#........#.#.....#.........#.#.....#..................#....#....#..........#...#.#..#.#....#......#..##....#..#.#........#....#...............#.........#....#...#...#..#..#...#...#.#..........#...#.##.###.........##...#...#.##......#.##.#.....##........#....#.#....##...##..........##.....###.....#..#..#...#..........#...#.##..#............#..#........#.#.......#...........#..#.#.......##.#.##.....#.........#......#...#.#......#...#.#.##...####..#.........###...#.#.#...........#.........#........#.##....#.......#.#.#.#.#..#...#.#.#.#...........##.#####.#.........##....##....#........#.#..#......#...#......#...#.......#....#..#............#.......#.#......#.............#
#.#....###.......#..#....#.#.#........##.#.##..#......###..#.............######....##......##.#...#......#...###.##..#......#...#.##.#..##..#..#.#..#....#...#.#.......##.....#.........................#.##..........##.......###..........#.....##.......###..#..#..##........#.##..#..................##......#..##...#...#......#.##.##......#.#.....#.#.#...#..........#...#.....#....#..........#...##.#.#.##.#......#...#..##..#..#.##......##.............#....#..........#.....##....#..#.#...##......#.#.#.#.#.......#...##.##..##......#...........#..##.....#.#........##.....#.#.............##...#.#......#.#...#..###..#...#....#.#.#.....#........#.##..#.#...................##..........##...........#..#.#......#.#.###......##.....#####....##.........#..#...#....#...........##.##...###.........#...#...#.#...##....##..#...#...#..##.......#.........###.#.....#.#............#..##........#..##.#...##.#.###...#...#..#....................#...#.......#..#....#............#.#.##..#..........##.......#..#
#.#......#.#.....#..#...........#.#.#.##.......##..##..#.......#.............#..#..##...#.#.###..............##.......#......#.##..#.....##.#....#.###...#.##..#......##.....#......#........#.....#.....#..#........###.........#.....#...##.#...#...#..#.........#......#.....#..#......##.........#....#...#..#..##...#...#..#...####.#.......#.##.....##...........#....##....#..#.....#...#......#......#.#......#....#......##.##..#.#..#..#.#....#.##..#.#.#.....................#.#...#..#.#.##.#..#........#..#.................##...........#.......#..............#......#.....#.##.....#......#..###.##..#..#.##..#..#.#.....#.......#...................#..#.#.......#...#.#......#...#......#.......#...#...#.#.....###...........##.....#..##.#.......#.#..##..........#....##.#....#..#.....#....#...............#....#....##......#..##...##......##.....#..###...#...#...........#..#.#.##..#.#..#...#......##....#.......##.#..#..#.............#..#.#.......#..#....#...................##........#..#.........#.
#.#...#....#...............#.#....#.#..#.#.#...##..##.##...#...#......#...##.#..#.......#..####.............##.#.....#.#....##....##.....#.#..##...##......##..#.......###....#.....#..#.....#.....#..#.##.##.......#..........#.......#....##...#....##...###........#...#...........#...#.......#..........#.#.#.......#...#..#...#.#...###.#..#..#....###.#.....#........##..#....#.....#.....#.##.#....#.....##........................##.##.#..#....#.#...#.......#.....#....##....##...##..#..#...#..#...#.#.##..#.......#....#.##.##.......#..##.#.#......#....#.#..#.##...........#.......#.#....#.#.....##.......#......##..##..##....................#..#..#....#....#........#.....##...#......##.....#.....#..#.#......###..#.......#......###.###..#....#................###..#.#..#............#.......#.#...#...###....#........#...##......##.......#.#.#....#...##..#...#.........#....###...#.#.....#..#....#.#####..##....#.#...#.#..##...#.#...#......#........##....#...........#.#............#.#.##...........
###....##..#.....#.......#.#....#.....##.#..........#..##..#.............######..#.....##...#.......#.#....#..##.##..###.....#..........#.##.#.#.#..##.....###........#......##.....#..#.....#..#..#....##..........#..........###.....#...##....#.....#....##..#.....##..#.......##..#...#..........#....#...#..#..##..............#.##.#.##......##...#..#.#...#..........#....#.........#.....#..#.#..........#..#.#....#.......#........#...#.......####...##......#......#...#......#.#..#......##....#.........#.#.#..#..#....#.#...#.....#.....#.#.....#...#........#.##.#...#.....#.#.....###.........##..#..#..#.#........#..#.....#..#...............#.....#.##.#.......#..##........#.#.#.......#.....##.......#.......#.....##......#.......##.#.....#...#.#..#.......#.....##..###..##........###...#...#...............##....##......##.#...#........##.#.#.#....#.#.......#.#.........##.#.###.#....#....##.....#............##....##.#...#...###..........#.....#..#.....#..........#...............#..............#.
#.....#....#........#....#.#.#....#.#.#..#..#..##.....#...............##..#.#......##..##.#.#.....#......#..##...##..##.........#.#..#..##.####.....#....#...#........#..#...##..#..#.................#..##.#........#.#.......#..........####...#.#.......##......##....##........#..#....#.........#.....#..#......#.......#......####....#.#..#..#......#.#...................##..##........###.........#...#.#.....#...#...#.#.#.#...#.......#.#....####...##......#..........#.....##.#.#...#..#####......#.#.#.#.#.#......#..##....#...........#....#.....#.#...#.#..#..#.....#.......##....#.#....##..###.#......#.....#......#......#..#.#.......#........#....##.#..................#...#........##..........##.............#...........#.....#.##.#...##.....#..#.......#.....#....##..#..#.##...#...............#.....#...#.............##.#.....#.......#...#.#....#...#.#...#......#..#......###...#.....###......#...##..#.#..#..#........#......#....#.....#........#.#...#..........#....#..#..#.................#...
###.#...............#....#...#..#.#.#.#..#.#...##...#.#....#..........##...#.#......#.....##..........#....#..##..#..###........#.##....#.#..##..#.###...#.#..#.......#.#........#..............#..#.......#........#.#.........##........#.###...##.....#......#...#.##......#.#..#.....................##...#..#...#.......#........##.##.#.#.....#...####.#...#.#...#........###...#........#...#.......#......#...##.........#.........##..#..............#...##.........#....#......#....#....#..........#....##....#..#..##..#...#..#.....#.......#........#......#.#..##.#...........##.....##....###............#..#.....#.#...........#...#.....#....##..#.#...#.........#..##......#.#.......................#..#............####.....#........#...#..#.............#.....#.##.#.#....###...##...........#.#.....#...#......#.....#..#....#..#..#.........#.#.#.....##.#.......#...........#..#.##....#..#..####...##.#.#.#...##..#..#...#.....#....#....##.#.#..........###...................#.....#....#......#.....#.##
##..#....#.......#.......#...#..#.....#..#..#..#...##......#..........##.....##.....#........#....#.#.#.....#..#.#...##.....##.##.##.#..#...#..#.....#...#..####......#.#...........#..#.....#..#..#..#.#.###.......#.#..........#........####....#...#..#..##......#.##..#.....#..#..#...................#..#.......#...#...#.........#..#.#.............##....#..#........##..#.#...#....#...#...#..#.............#.##...#...#.##...#.....#.#..#.#.......#..#.#.................#.....#.##..#..#.#.#.....#...#...#...............##.....##....#.....#.#........##.....#.#.........#........#............##..##.##..#..#..#.....###.....#.....#.........#.....#.....#..#.#.......#..#..#....###.#........#.......#....#..........#..#..###...............#.....##...#.#..#...#...#.#.##.#..#...###....#.........#.#.#.#........##.................##.....#........##...#....###..#..#...#...........#..#.#........#.....#...#####..#..###..#......#.#...#....##....#.#.#.#........#.#..#................##..#......#....#.#.....#.##
..#.#.##.#.#.....#..#......#.#....#.#......#...#....#.###.............#....#..#....##..#..####....#......#.#.#.#.##...#.....#..##.##....#.##...#.#..##.....#.#.#......#..#...##..#..#.......................#.......####....................#.#....#..##..............##......#...##......#.......#...........##.#...........#..#...##...##...#..#.##...####.....#.#........##..###..##........##...#.#......#....#.#......#...#.###.##..#.##.#.##.#....####..#.#..#...#..........#.....####.#.....#####.......#.#...#...#.....##.....#..#.#....#.#...#.#.#...#.###...#.#.#........##.....#..................##...#.....#.#........#..#...#.#..#.....................#.##.#..........#..#........#...............#.....#..#.......#..#.#.#.......#.....#...##..........#......#...#....###.####........#...##..............#....#....#.....#.......#...#..#.........#...#.#.#..#.##..#.#...#....#..#..#..##........#..##.#........##...#....##.#.........#...##.....#...#.#.....#..#.#..............#.......#..#....#.#.............#
.#..#..###.#........#....#...#........##.#.....#...##..##..#...........#..#.#...##.....##.##.##...#...#.....#..#.##..#.#....##.##..#.#...#...#...#..##.....##.##......#......#.........#........#..#..#.#...#.......####.......#.#.....#..###.....##...#.#...#..#.....#..##...#.......#...##......#..#.....#..#.....##...#......#....#.#.####......#.......#....##.#........##...#....#....#.....#.#..#...##.#.#....#..#.........##.........#.###.........##..#........#......#....#.....#...#...#.....#...#..##.#.#........#......#..#..##.....#....##.......#.........#.#..##.#..##.....#.#.....##.....#.......#...#..#.....#...##........#..#...#..........#...#..#.#.............##.#.....##.#........#...........#...#.#.....##.#..###.....#.........##.#...#...#.#..##..#...#.#.####..##......#......#.#.........#.......#.#...#.....##..#....#..#..###.......#...#.#.#.....#....#...#....#....#...#.##.#........#......##....#..#.#.....#..##.#..##...#.#...##...........#..###...#..........##.#.#...#......#...#..#.....#..#
.##.#.##.#.#.....#..#........#........#..#.#.......#...##......#......#..##.##..#..........####...#...#........#.#....##.....#..#....#..#..#.###...##....#..##........#.##...##.....#........#..#..#..#.#...#..................###.........#.#...#.#...#.#..##..#...#..#..#.......##..#...#................#...#....#...........#.........##.......##....###.#..##.#...#........#.#...#....#...#....#.#...#..#....#........#......#...#..........#..#...#.......#..#.........##............#........#.##.......#.#.#.#.#....#..#...##.#..#.#......#..##.#........##...#.#.##....#...#.......#.....###.....#....#.#.........#.....##..##..#.....#...#..........#.....##.#..........#..##.......#....#......#......##...#...#........##..###.......#.....####..#..##...#.#..#.............##.##...#..##.......##.....#...#...#....##...##....#...#...##.....#.#.........#.#.#......###.....#.#....#........####.#.#.....###....##.###.#..##...##....#................##.#...#.....#..###...#..........##.#.##.##......#.#.#........#.#.
.#..#...#...........#....#.#.#..#.#......#.#.......##..##......#.......#..####...#..........#.....#.#.#.....#.#...#...#......#..#..#......#..#.#.#.##....#.#.#...........#.......#.....#.....#........#.....#.......##.........#..........#.......#....#...###..#..##..#.##.....#.........##.............#...###.#..#........#..#.....##.#.##......##...#..#.#..##.#...#.....#...##........#....#..#..#......#...##............#.#.#..#..#.##..###.##...##....#...#...........#...#.......##.#.....#..#.#.....#....##..#.#..#..##..##.#..#.#......#..##...#.....##....#....#.#......#.....#..#.....##.....##..#..##..#..#.##......#..##...#....#.#.#..........##..#..#.##.#....#..#..##.#....#.............#......#...#...#.#..........#.#.......#......#..##...#....#........#...#.#.###..#..#.#.###..#.........#.........#...###...##.....#..#....#..#....#.......#.....#.##.#.##................#.##.#..#..#.......#..#.......#..#..#....##.....#.#........##....#.#.#...............#...........#..#..#....#....#.#..#.#.......##
#.....#.##.......#..#........#..#...#..#.#.#....#..#..#.#.............##....#...##..#..##.##.#....#........##........###.....#..........##....#....#.#.......##........#.#..........#........#.....#..#...#.#.......###........###............#.......#....###..#..#...#.#....#.#.#...#...##......#..#...#....##.#...#.......#..#...#..#.#.#............#..#.#..#..#...#.....#....#........#...#.#...........#......#..#...#...#...#.##....##...#..##......#......#...............##....#........#.#..###..#..##.#.#.#.#....#..##..#..#..#.#....#....#..#.#...#.##......#..#.#......#.......#.....#......##.......#..#..#.........#......##.#............#....#...#............#.....#..#....##....#......#.......#.......#.........#..#..#......#......#.##.#.........#............#...##....#..#.##..#...##....#.#.#.#...#...##.....#....##..#......##..#........#....#.....#......#.#........#..#.#......#.#....#..#.##...#.###.##.......##.#...#.#...#...#......#.#.#.#.....#..###..##...........#...#..#..#....#...#..........#.
....#....#.#........#....#............##.#..........#...#..#.............#.#.#......#...#..#.##.....#........#...#...##......#.#........#.#.###..#..##.........#.............##....................#....##.#..........##...............#...##.#..###..##.#..#......##.##.#....#......................#.....#...#....#....#...........#...##........#.....#...#..##.....#....#...##...#.....#.....#.##.....##...#.#..#..#.........#....#..#.##..#.#..#......#...#..##.........#....##.........##..#..###.............##.#.#..#...#.....#..###......#...#...#.......#...#......##.#..##.......#..............#..#............#..#.......#..#..#....#.#.....#....##..#.#..##.#....#..#.....#......#.#.#.......#.....##...#.....#........#.##.#............#.###.#...#...#.#..#...#.....#.#.##.##.#.#..##.##.........#.#...#...#..........#........#.......#....#...........#....##....#.....#.#..........#.#.......#..#..##.#...#...#...........#.#...#.#...#...##...........#.....#..##...............##.#.##.#.......#.#.##.........##
.##.#..##..#........#....#..........#.##.#.#........#.###..............#.#####...#.#......#.###.....#....#..#.#......#.#....##..#.##.....####......##.......#.##.......###....#.....#..............#..#.............#.#........###.........#..#...#.................#.#..#....#.#..#..#....#......#......###........##...#...........#...##......#........##................##...##..#.....#....##.##.#....#.#.#.#..#.#....#...#...#.......#..#..#.........#..................#...#........#.#.....#.#.....#...#.#.##..#.#..#..##..#...#.#................#...#.###...#.#.##.#..#...#.....#..#....##......#..##..#........#...#...##..#...#.#....#.#.....#....#........##......#..#...#.#..........#.............#....##..#.#......##...#.................#.#....#.....#..##..#...#.#..#........#......#...###...#.#.#.....#.....#....#....#...#......#.....#.......#........#...#...#.#...........#.#..#.#.#......#...#.#...#.........##...##.......#.........#...##.#...#.....#...##..#............#.#.##.##.#....#...##.......#.##
#.#...###..#...............#....#.#....#....#..#....#.##.......#......#..##.#..........##.###.....#.#.#....#.#.#.##..##.....#......#.#..##....#..#...#......##........#..#....#..#.....#.....#.....#....#..##........#.........##...........#.....#...##...##...#...#.#...#...#.#..#..............#..#...###.#......##...#..........##.#.#..#.#...........#..#.........#....#....##........#.......#......#....#.#..#..........#...#.#...#.##.###...#....##....##......#.................##.........###........#.#.#...#.#..#...#..##....###....#.............#..#...........#..#...#.....#.........#....#....#...........##.......#.....##......#............#...#..#.#..#..........##.......#..#.#......##.....#.....#....#.....#.##.................#.###.#..#....#.#..#...#.....#.#.#..#.......##......................#.....#...##.....#.......#.....#...........#..........#...#.....#....#..#....#.##..#....#..#.##....#..#..........##.......#..##..........#.#.#.......#...##..##.............#.#..#..#.................#...
..#....##..................#.#....#...##....#.........#.#..#.............##...#.##.....#..###.#...#...#..#.#####.##...##....#..##.#.....#.#...#....#.#...#.#..##......#.#....#.........#.....#..#.......#.#....................#.#.........####..###...#...#.#..#.............#.#..#.................#....##.#...#..##.................#..#......#.#.......#.#..#..#.........#..##...#.........###........#..#...##...##...#.....###.....#.#..##...##..................#...........#....#..#.....#.#.............#...#.#....#..##..##...........#.#..#..#.#...#.##....#.#....##.#..#.........#....#.#.........##..#..#..#..#.....###.....#.....#.........#........#.##..#.#....#.....#........##...#..............#...#...#.......###..#.##.....#......#..#.##...#........#.......#...#.#..##.#...#........#.#...#.#...#...#...###....#....#...#...#...#...........#........#....#.....#........#..#.##.##.#..#....#....##....#.#.......#...##....##.#...#...#........#...#.....#..#....#............#......##..........#..#.......#.
#.#......................#......#.#.#......#...##..........#...........#.####...##.##...#..####..........#.#.##...#..........#....##....###..#...#.#.#......###........###...#...#...........#..........#.#.........#..#........##........###....#....##...#...........#..#.....#.#...#...........#..#...##..###....#........#..#...##.#..##..#....##.....#..#..##.#...#........#....#.........#...#......#....#..#.#.##.......#.##........##.#..#..#...###.......#..........##...##.......#.#......#..##..#.......#.....#..#......##.##........#.#.......#......##.....#.......#...#.............##.........##...#...............#..##.....#..#...#..........##....#..##.#.......#...#.......##...#......##...........#....#.....#..#.#.#..............#.#..#...#...#....#.......#....#....##..#.....#......#.......#.....#....#....##....#.......##.##..##.......##.#......##...##.....#......#.....#..#.#....#..#....#....#.#...##........#.....#....#.....##....#................#..#..............#.##..#.#......#..........#.##
###.#..###.#.............#........#........#.......#..###................#.###..##........#..##..........#.###.#.##..#......#..#...#.#...#....#..#.#.......#####......###....................#........#..####.........#........#.......#..###......#.....#...#..#...#....#....#...#...#....#......#..#...#..........##...#...#.......#.....##......#.....#...#..#...............###........#...#....#........#........#....#...#..##.............#.##...##.#..#....#..........#.........####..#..#..##.##..#.......##....#..#..##..#..#..###.........##.#.....#.##......#..#.##.#.........#..#....#.......##.#.#..........##.....#.......##....#.#.............#....#...#.#....#..#..#.......#...#.#......#......##....#...........##...........##......####.#..#....#................#.......#...#.#..#...##......#.#.#........#....#.....##......##.......#......##.#...#.#..#...#.#...#............#.#..#...........#.....#.#...##..#....#..#...#....................#.......#..###..#................#...#.#...........#.......##
##....###....................#..#......#....#..##..#...#.......#.......#....#.#..#..#.....#.##....#...#.....##....#..#.#.....#....#.....#.....#..#.###.......#.#......#..#..........#..#..............#.###.........#..#.......###.....#....#.....#....#.#..#...#...#.#.......#...#...#....#......#..#....##...#....##...#...#..#....###..#.#.#....#....#.##.#...#..............#..............##..##.#...#....#.#.....#.......#...#.##....##...#..#.....#....#.#.##.........##...##..........#..#..#.#.......##.#.#.#.#.#..........#.#.........#....#....#.....#.#.....#.#........##.....#..#....##.....###.###........#..#..#....#.#.............#..........##.....#..#.........#.....#....###...#.......#.....##...#...........#.##.##.#.....##.....###.#.....#...#.#..##..........##.#...#...###.......###...#.#.#.#........##...##............##..#..#........##...#.#.##...#...#...#.#....#....##.##.#....#..#..#.#....#..###.#..##...##.#..##....#....##...........#.........#....#...........#....#..#.#........#..#........#
.##.#.##............#....#.#.#....#.#....#.#........#.#.#..#...#......#..#..#......#...##....##...#.#.#..#....##.##..#.......#..#....#....#.####...###.......#........##.........#.....#...........#.....#.#........#.#..........#.....#..####...##....#...###........##.#........##.......#.............#...##..#..##.......#..#...#..#....#.#....#....#..#....#..#........#.....#........#.......#..#...#..#.#....#.##.......#...#..#..#.#..#....##...##.#...#..##...#..........##....##...........#........#..#.#...#........#..##..#..#.....#.#...#.#........##...#.#.##.......#........##.....##......#..#......#..#..#..#..##...#.....#..#.#............##.....#.#..#....#.....#..#.....##.#.#.......#.....##...#...#........##..#.#......##.....##...#.................#........#.#.##.........##...###.......#...........#...#......#..#...#...#..#.#......#..#...#.#..#.........#.#....#.....#.###.#.#....#..###....#.##...#...#.........##.#.......#.....#....#..........###...............#......##...................#..#
#.....#.##..........#......#.#.........#...#.......##.##.................#.####..#.##..##....##...#.#......##..#..#..#.#.......##....#..##.#.#...........#...##........###......................#........##.........##.#........##.....#..#.#....##....#...#.............#....#....#..#...#..........#.....#..##.#.......#...........###..#...#....##........#..##.#........#...#.#..#...........#..#.#...##.#.#....#..#.......#..##.#...#.##...#..##....#....#...#..........#.....#....#.#..#........#.......##...#.....#..#.......#..#.##.....#.#..#..#.#...#.##....#.#..#..#.#...#........#.....##........###.#...#.....#.....#.......##....#...............#.....#..#.#....#..#..##.#....##...........##.....#.....#....#......##...#.......#.......#..#.#...#.....#...#......#...###...#.#...#...#............#.#.........#.....#.........#...#...#...#.......#....#...#....#...#..........#.....#...###.#....#..#.......#.#...........##.#........#....#.#...#..#.#..........###..##..........#..#....##........#..#.#.....#...
##..#.#..#.#.....#..#....#.#.#....#....#.#.....#....#..#...#...#.......#.##..##.#...#.....#####...#......#.###.#.#.....#..........##.#..#..#####.....#...#..##........##.#.............#........#.....#.#..#........##.#........#.........###....###...#.#..##..#..#...#.#....#...##..#....#.........#...###..##.#...#..............#.#.....#....#.#.....##..#...#.#.............##..#.....#...#...#..#..........#..#......#...#..#...#..#..#..#.#..#...#.#...##..#...........#.........#.##.......#....#..#..#....#.#.#.......##..##.##.###......#...#...#...#.........#..#....#..#......#.#......#......#..###........#..#.......#.#...##....#.#.......#....##....##.........#..#...........##.#.#.............#.....#....#......##...#.......##......##..#....#...#....#.......#...####.####..#.##..#....##...#.............#.#...#......#......##.##...##.........#........#..##.......#..........#.#.##..#.#..#..##.#....#..#.##...#...##.#..#.....##...#.....##.#..............#..............#..#..#..#.#....#.#.##.......#..#
......###...........#....#.#.#..#...#.#..#.##..#...#..#................#.#......#..#....#.####....#...#....####...#..##.....#...#.#..#....#....#...##....#.#...#......#.#....##........#.....#..#........#.##.........#.........##.........##....###...#.....#..#...#.#...........#...#...#.......#.......#...##....##...#..........#.##..#...#....#....#.##.#..##.....#....##....#..#.....#....#..#...........#.#..#............##......#.#..#.#..#.....###......##...#..........##....####.##.......#.......#..#.#.#.#.#.....#....#..#...#.........#....#...#..##.....#.#.....#..##.............#.......##.#...#...#..#..#......#..#...##....#.#.......#...........#..#.#....#..#..........#.............#.....##...##..........####.#..#..............#.##....#.....#..##..#...#......#.####..###...#....##...#.....#........##.........#...#...#..#....##...............####..##.#.#.#.#.............#.#..#.#......###...#...#......##..#......#.#..#.....##..........#..........#.................#....#.......#...##.........#.
.#.....###.#.....#..#......#.#..#...#.#........##.....#.#.................#.#..........##..##.....#...#..#....##.....#.#.......#.....#...##.#.##...#.#...#..#.#.......##.#.........................#....#.##...................###..........##........#....##...#.....#.........#.#...#...##..............#....#.#...#..........#...##.#.###..#....#....###......#.........................#....#..##.#...#..#.#.##....#.........#....#....##...##......##.#...##.................#.....##.#.#...#...#.....#.......##....#......#......#...#..........#.#.#...#.#.#........#....#..##.....#.......##......##..#..##..#....##..#......#........................##.....#.#..#....#.....##......#...#.........#.....##....#..#.#......###.##........#......#...##..##........##......#.#....#...#.....##..#...##........#.........##.....#........#...##.#...##..........#.....###...#..#.#...#....#....##.##.##.#.#..#...###....#.##......#...#......#.#..##...#.....#............#..##...##...........#....#....#........##.#.....#..#
##..#.##.#......................#.....##.#..#..##...#..##..#..........#..#.#.#.....#...#...#...............#.##..##..###....##..#.#......##..###....##.....#..##......#......#...#..#..#.....#.....#..#..##.........####........##........#.#.#...#...##.#.###.....#..........#....#..#...##.........#.....#..##.#..#........#..#...#..#....#....#..#...#.......#..#...#....##....#........#...##..........#...#.......#.........###.##....##.###..........#......#...........#...##....###........##...#..#..#....#.#...#.........##.##.###......#.....#........##...#.#.##.##....#........##....#......##...##.#...#..#.##..#......##...#.#..#...............#....##..#.#....#..#..##.#.....##.#.#.............#.....#..#.......##............#.......#.####..#....#.#................##.##...#..#.......#.#.........#........#....#.............#...#...#........#...#.#.#.#..#...#..........#..#......#...#....#..#.......##.#.##..#.#..#........#.........#................#...##..............#..#.##....#....#...##.......#.##
........#...........#........#........##.#..#..##..#..#....#...#......#..#..#..........#..#.#.....#.#.#..#....#...#.........#..#...#.#..#..#####...###...#..#.##.......#.#...##.....#..#........#..#..#.....#.......#..#.......###.....#..###....##...#..#..##..#.....##.#......#.........##......#.......#......#.......#......#...###..####....#.##......#.#.....#...#.....#..#.#...#....#.....#.#..#....#.#.#..#.#..............#.##.....#.###...#...##....#.#............#..........#..#..#..#..##.#...........###...#.....##..##.#....#....#.#..##...#.....###...#.#..#.##.....#........#....##......##..##..........##......#...#..##.#..#.#.#....................#......#......#.......#..#........#......##...#...#.......#.....#.......#......##.##....#....#.#..##......#...#.##.#.#...#.#..##...#.#...#.#...#.......#.....##.....#..#...##......##......#....#.#.#..#..##.#.#.#.#....#..#....##..#.#....#....#......#.#.#...#....#........#...#....#.........#.#.........##..............#..#.##.........................#
.#..#.####...............#.#....#.#.#....#.#..........#...............#..#.#.##..#..#..#...##.....#.#....#.....#.#....#.....##..#..#....##....##.#...#.....#..##.......#.....##..#..#...........#..#..#...............#........##.........#.###........#.#.#....#..##.#...........##......##........................#....#...#..#...##.#.#.##...........#.#.....#......#.....#....#..#.....#........#.#...##.#...#..#..#.......#............#.#....##...###....##.##...............#.....###.##..#.###..#..#.....#.###...#..#..##..#......#.......#..#....#.....##......#....##.#...#.....#.......#.#....##..#...#...#....#.......##...........#.#.#..........##.......##......#.....#..#......#...#......##......#...#...........#....#.##......#......###.#...#.............#...#...###...###.###........##....#.#.#.#.......###..........#......#..##...#..........#.#.....##.#.#.#.#........#..#.##.#.###.........###....###.##.#...#..........#.#..##....##...##.#...#.....#...##..#............#.#.#..#............#.......#.#.
#...#....#..........#....#.#.#....#.#..#.#.##...#......##......#.........###.......##..##..####...#.#.#..#.##.#...#..#.#.....#.##....#..##...#.#.#..##.....##.##.......###...##.....#...........#.......####........####.......##......#..#...........#..#.###..#..##..#..#........#..#....#.........#...#.#..##.#..##..........#...#.##...##.#....##...#.#.....#......#....#...#....##....#....#.....#...##..........#....#.......#.......##..###.##...#.....#...#....#.....#.....#....##.#.##....##..........#.#..#....#.........##.##........#....##.#.......#.........#...#....##.....#..#....##.................#..#..#.....#.#.##..##.#..#.#.......#....##..#.#..#..#....#..#..##......###...#......##......#...#...........##.#.##.......##.......##.....##........##............#...#.#...###.#....##....#.#.#.#.......###....#....##..#....#..............#..#.#.....#...##...#.#.................##.#.#..#...#.....#..####...###..#..#..#..#..##...#......#.#............##....#...........#.#.#...#.#....#....#..........#
.#....##.#.#.............#.#....#...#.##.#.#....#...#.#.#..#..........##..#..##........##.###................#....#....#.....#.#..........#####..#.#.#.....###.#......###....#...#...........#........#.#..#.........#...........#.....#..#.#....###..##.#...#..#..##.##........#.....#..............#...#..........#...........#...###..##.#.#..#.##...#.##.....#..........##..#....##........###.........#.#....#...##...#.....##........##......##......#...##..#...#..........##......#......#......#..#.............#.....#...##.....#.......#..##...#...#.........#.#..#..#.........#.#......##.....##...#.#...#....##.....###.#....#.#.................##....##.#..#.......#.....#......#.#........#...........##..........###..#...............##...##..#......#...#...........##........##.#..#...#.....#...#................#....##.........##...#.......##.#.#......#..#........#.......#.#..###...#.#..#..#.##...###...##..#.#..#..#.....#.........#...##.#............###..##.............#.##....#...........#........#
#.#.#..#...#.....#.......#..........#.#..#.##..#........#......#.........###..#.##.##..#..##.##...#.#.#.....#.##................#.......###.#..#.#.........##..#.......#.#...##..............#........#.##.##........###.......###.........#..#..#.#........##..#..##.........#....#......#..............#...##.....#........#.......###...#..#.....#......#.....#.#...#....#...#.....#....#........#........#.#..#.#.##.......#.##..##..#..#...##.#.......#..###.##....................###...#..#.###.##..#..##.#.#.#...#..#......#..##.#.#......#...#.#........##...#.#.....#.#..#......#..#....###..........#.##...........#......##........#..............##..#.#..##.#.......#..##.#....#.....#......#......##....#..#........#.#..##..............#..#.#.......#.#..##..#...#.#..#.....##.#......#.....#.....#...#...#...##..............#...#..##..##.......#....#.#...##.##..#...#.........#..#..##.#..................###.##..###..#..#.........#...#.#...##...#..........##................#.#.#.....#.........#.#.......#.
##....#....#.............#.#....#.#....#...##..##...#.#...............##..#..#...#..#...#..####...#........#####..#...#........##.#..#....###.##.#.###......##.........###...##.....#...........#...........#........###.......###.....#...##.#..##......#..#..........#..#...#....#..............#..#.......##..#...#.......#..#....###..###.#.....#...#.#..#...............#...#..............##.##........#...##...##.........##..#.....#..##.#..#....###....#............#....#.....###..#.......###.........#.#...........#..........##....#.#...#..........##...#...#..##.#..##.....#..#....###....##...##.##.......##.......#......#.#..#.....................#.##.#....#..#..##......###.#.........#......#.......#.#........#...........#.....#.....#..##...#........#.......##....###...#........#.......#.#.#........##.........#........#..#...##......#.........##....#.#.#........#.....#..#..#...#.....#.#.......#...#..#....##....#..#..#....#......#.#...#..........#...#...............##.##.#....#...#..........##
..#.....#..#.....#..#........#......#.##.#.....#....#.#.#..#...........#.#..#.#..#.....#..##.#......#....#...........##..............#....##.#...#...#.....##.#.........#........#.................#..#...##........#.##........#.........#.#.#..##.........##.....#..##.##.....#..#.......#...............#.###.#..##..........#....#.#.##...#..........#......##.#.........#..###..#.........###..#......#.#.#....#.#....#...#...#..#........###.#....##....#.#.##...#..........#.....#.##.##....####........#...#...#.#..#..#....#......#......#..#..#.#...#.......#.#.#.....#...#...............#.....#.......#..#....##..........#..#..#....#.#..........#.....#.............#..##.#....##..#........#.......#.......#.#.....#..#.####.....##......#.#.#....#.........#............#....#.........#...##....#.#.#.#...#....##.........##..#...##.....#.#...........#...#.##..#..#.....#.........#....#.#.#.#..#..##.#...##..#.##..#.....#.......#...#...#......#.#...#.....#...#....#..........#..#.#..#.........#..........#..#
#.#.#...##.#...............#....#.....##....#..##.....###.............#...###.#.##.#....#.#...#.............#..#.....#.......#.....#.#..#.##..#.....##...#...##........##....#......#...........#..#..#...#.........#.#.........##.....#......#..###.....#.#.......##.##..........#..................#...#.#.#...#...#...#......#......#..#...#..#.##.....##................#........#.....#...##..#..#...##...#.##.#..#..............#..#.#..###..#....###.....#.................#.....####.##..#.#.#..#..#...#.......#.#......#..#..##.#.#....#...............##......#....##.#...#.....#..#....##......##..#..##..............#.#.#...#.....#.#.......#..........##..#.............#.#.....##..........#......##...#...#........#.#...#.......#.....#..####..##............#...#...#.##..#.....#...##...###.......#.....#...#.#...#......#..#....#..#..#.#...........#...#.....##.#...#......#....##.##....#...............#........###...#.....#.....#...#.#...##.....#.....#...#...##...........#.#..#.##.#....#....#.#........#
....#..#.........#..#...........#.#...#.........#..#...#...#...#..........####..##.##..##.#####...#...#....###....#..#.#.......#..#..#......#.##.#.#........##.........###...#......#........#........#....#.........#.#........##.........#.##...##...#....##..#..##.#..##.......##..#...#.......#..#....#..###.#...................##...#...#..#........#..#.....#.........#..#..........#....##..#.....##.#.#.##...............#..#......#.####..#...#..#..##...#.........#....#......#.#.#.....#..##...#...#....#...........#.....#..##...................#.###...#.#.#...#....#.........#............##.#.#.##.......##.....###......#......#............##........#.#.......#...#......#.#..........#......#....#...#.#.......##..###.....##.......##..#..##.....#..#.......#....###..#.#..#.##.##.....#.....#.#..........##...#......#..........#..................#..#...#...#...#......#.....#.##.............###....#.#..#....##..#..#..##...........#....#...#.......#..##.....................#.........#.#.#........#..#
.##...###........#..#....#.#....#.#.#.##...#.......##.#.#......#.........#.##.#.#..##..#..##.##...#...#...........#....#.....#.#.....#....#....#...#.......##.##......####...##.....#........#..#........#.#.........#.#........#.............#...#....#...##......##.##.#........................#......###.###.#..#...........#...####.#.##.#..#......##...#..##.....#.....#..#....##....#...###.#......##...#......#....#...#..##..#..#....#..#.##....#....#.#.#..........#...........###.....#..#..##......#.#.##..#.#......#...#.#....#....#.....#...#...#.###...#.#.#.........................#.........#...#..#....##..#......##..##.#..#.#.#..............#.##.#..#..........##.#.....##.#.#.............##.......#.............#.#.....##......##..#...##.....#..#...#...#.#..#....#.#..#.##.##...###.....#...#....................#..#...##.....##..........#...#.#.##..##.#..........................#.....##.......#..###.......#......#..................#.........#...#....#..................##.#......#....#........#
.#..#....#.#.....#..#.................##....#......#...##.............##..#.#...#.........#.#.....#.#.#..#...#.#.##...##....#.....#..#...##.#....#.#.#......##.#......#.#........#..#..#.....#..#..#..#...#..........##.........#..........##.#....#.......#.#..#...#..#.##...#...##..#...##......#..#...##..##..#...#.......#.......#...#....#..#..#.....#..#...............#..###..##....#...###..#........#.#..#.#.#....#...#...#.#...#..........#...#.....##.............#.....#.....#.#.##..#.#.##.#..#.........#......#..##.....#...##....#.#..##.......#..#........#..#......#.....#.......##.....#...##..##..#...........##..#......#............#.....#..#..#.##.#....#..#............#.#........##..........##..#.......#....#.#......#........#...#.......#.#............#...#....#....###.#......#...#...#..........##..................#.##....#...........#.....#...#....#...#....#....##.##.##...#..#..##.....#####.##...#...##.#...#.#...#....#.....#.#.#.#........#.#.................#.##...........#..........#.##
#...#....................#..........#.##...##...#..##..##......#......#..##.##...#.#......#...#...#......#.#####.#....#......#.#..##....#.###.#....###.....#.###.............##.................#..#....###..........#...........#.........##.#..###..#..#.#....#.....#..#....#.#.##..#...#.......#......##....#....#....#......#........#.#.......##...#..#....#...........##.......##.........#...#.#...#..#...#..#..#...#...#.##...#.....#.##........##.............#.....#.....#.....#.#.#.....##.........#................##..##.#...#.....#.#..#..........#.....#...#...#.#...........##.....#.....#........#.....#..........#..#..#..#....#.......#........#..#............#...#..........#.#.............#.....#..........#..#.##..............#..#.#...##...#.....#......#.#..###......#..#..##...#.#.....#.#.........#......#.....#..#....#.....##.......#....#.#.####..##.#.#.#.#....#.......###.....#.....###....#.###.....###.....#.....#...#.....#...##.#.#............#...#.....................#....#.#..#.......#.##
.##.#.#..#.......#.......#......#.#......#......#..#....#......#.......#..#.#...........#.###.......#......#####.##....#....#..##.##.#..###........###.......#.#......#.##....#........#........#..#..#..##.#.......#.#................#.........###...#....##........#..#............#....#......#.......##...#....##...#...#..#...##.#.#..#.#..#.##.....#......#.#.........#....#..#.....#....##....#...#..#.#.##.#..........#.##..#...#..#..###.#..........##...#...#.....#....#.....#.##.....#...#.#...#..##...#.....#......#..#..##..#.....#....##.#.#.............#..#.#..#...#.....#..#....##.....#...##..##.......#.......##.#...#....................##....#..........#..#.....#.....#..#...............##.......#.#......#...##.#......#.......#..##............##......#...#.#..##.#..#..#.##.........#...#.....#...#.#...##.....#..#...#......###......#..#.#.#.###..#.#.#...#.#....#..#.##..#....#.#..#..#.#....##.#.##...##....#....##.....#...###....#...#.#.....#..#.....................#..#..#....#...##.#........#
#...#.#.##.#.....#..#....#......#.#.#.##.#.#.......##...#..#................#...#......##..##.#...#.#......#.#...##..#......#.....##.....##.#.#..#.##....#.#.#.#......###.....#..#.....#........#.....#..#.##.......#.##.......##......#..#..#...#.#...#.#.##...#.....##..#.......##..#....#......#......#.#.##......#...#......#...#....#.#.....#.#.....###.#..#...........##..##...#.....#........#.....#....#.#....##.......#.##...........####..#...#.......#.##...#......#.........#.....#....##......#..##.#.##..#.#.........##.##..#..........##.........###...........#.....#.............#.#....#.#..##.##.......##..#...##.....#.........#.....#........#.##.#.............##.#.....#..#...............#....##..#.#.....#..#..#.#.....##.....#.###.#.........#..........#.....#..##...###.#..#...###.....#.#.#.......#.#...#......#......##.....###...........#.#..#.#...#.#...#...........##.#.###...#.....###....########..##......#..##.#.........#...#..#.#.#........#.....#...............##....#....#.#.#..#.......##
..#.....#..#.....#...........#..#.....##...##..#......##...#..........##..##.##.#..##...#.#.#.#..........#....##.##..##.....#..##.#..#....###.#..#.#.....#....#........#.#...#...#..#..#..................#.#........###........#.........####....##..#.....#.......#..#..#.......##..#...##.........#...##...#.....#....#..........#.#...###....#........#.....#..#.........#.......#.........#...##.#....#.#........##.........##..##.....#.......#...#.....#.#..#...#.....##.........##...##..#.#.##..........#.#.#......#...#..#..##..##......#..##...#...#.##......#.##........#.....#.##.....##....###.#...#.........#..#..##...#...#........#...........#..#.##..#.#.......#..##..........................##....#..#.#...........###..............###.#.......#.....#..#...#.#...##..###.#...........##...#.#.......#.........#.........#....#......##.......#.#......#....##.....#.#....#.....#...#...#.#.....#......#.##...........#.....#..#..#..........#..#...#........##....#...............##.#..#....#.#..........#.#.
.##.................#....#...#......#..#....#...#......#...#...#......#..##.###..............##...#......#.#..#..##..#......##..#..#.#..#######.....##.......##.......#..#....#..#..#.......................#.......#.#........###........#.#.#..##...##....##........##.#......#..#..#...#..........#...##..##.....#...............#..#......#..#.........#.#..#..#........##.......##........##..#..#........#..#........#.......#........#...#........#....##...#...#..........#..........#..........#..#..#..#.##..#.#..#...#..#..##..#.....#....##.......#..#......#..#.##.#............#....#.#....###.....##..#..#.........##..#..#..#..#.#.#.....#....##....##.#..#...........#.#.....#...........#.......#....#..#.......#..#.#.##...............####..##.....#..##......#.#...#........#.##.##...##....#...#.#.............#.....#........#.......#.......#...#...#..#..##...............#.##.....#.#.#............#..#........#...#.....#..........##......#............##....#..........##....#.#.........#.#..........#.
.##...#..#..........#......#.#..#.....##.#..#...#...#.##.......#......##....###.....#..#..##......#.#....#.#.....#...........#.##..........##.......##...#.#####......##.....##.....#........#..#.......#.###.......#..#........#......#......#.......##.#..##..#.....#...#.......#...#...#..................##..#..#....#...#..#......#..#.#.#..#........#..#...#.#...#....#.....#............###.#.............#....##...#...#.###.##..#.#...##...#...#..#...#..##...............#......##.#...#.#....#..#..#..#..#.......#.........#..#..............#.....#.##....#....#..#.#.........#.##....###....##..#....#........#.......#.#...#.........#.....#..........#.....#.......#..##......#.....#......##..........#............#.#.####......#.....#.##.##.........#..##........#...##..#...####..#....###.......#.#...#.....#....#............##......#..........#.#....#....#........#....#.....#.#.##....#......##.........###..###..#..#..##.#..#.....##...#..#...#........##...#............#...#...#.#....#.#.#...........#
..#...#.##..........#......#.#....#.#......##...#...#......#...#.......#.#.##.#..#.#...##.#..#....#...#.....##...#....#.....##.......#...##..##....###...#.##..#......#.##.......#..#..#........#.....#....#........##.#.......###.....#....#.....#....#.#..#...#...#.#..##.....#....................#....#...##....##..............#.##...##....#..#...###........#...#....##..##...#.....#...#....#.#........#.##.#.##.......#...#.##.......#.##..#...##......#.#....#......#.........#.#..##.....###............#.....#......#...#.##.#......#....##...#.....###...#.#.##.##.#...........##...........#...#...#...#..#.##..#...#......................#.....#....#...#.#..........##......#...#.#......#......#.....#..........#..#..##..............#.####................#...#.#.#.##.#..#.##.#.......#.....#.#...#.......##...........#..#...##.#.....#.......#...#.#.##.#.#.....#.#......#..#..#..##.....#.....#..#...#.###.......#...#....##....##...###...#....#............#...#...........#....#....#......#.##.......#...
#................#..#.............#....#.#.##......##.#....#...........#.####....#.#.......####...#.........#....##...#......#.#.....#....######.....#...#..###........#.#....#.....#..#..............#..#.............#.......##...........###..##....#...##......##....##.......##......##...............#.###.........#...........###.#..#.......#....##..#..#......#....#.....#........#...#....#.....##...#..#.#..#.................#..#.##...##...#.##...#..##.........##....#......#...#.....##.#...#...#...###..........#..#...#..##......#..##.#.....#.##.........#..#.#..#..............#......###.#.......#.....#......##.#...##.#..#...#..............#.##..#.#.......#..#........##.#........#...........##..........####...#.............#####.#...#...#....##...........#.#..##..####..#....#...............#...#.#...#.....#........#.....###.............#......###.#...#.........#..#..#..#.........####...##.#.#....##....#....##.....#............#.#.#.....#..#.#.................#..#..#.#....#.#....#.....#.#.
#.#.#.##.#.......#..#........#......#....#.....#...#..#..................#..###..#.##.....##.##..........#....##.#...###....#..##..#.#....#.#.#..#.##....#..##.#.......##....#.........#........#.....#..#...........##........#.......#..####....##..##...###..#.....##.#....#.#.#...#...#..........#...##..###.#...........#..#....###...##.#.........###..#..#......#.....#....#...#....#...##...#......#......#.#......#.....###.#...#..#...##.#....#.#...###.#....#.....##...#.................####...#.....#...#.#....#..#...##.##.##.....#.#...#...#...#.#.#...#.#....#..#...#.......#......##......#..#..##...........#...##.#...#.......#.......#....##....##..#.#....#......#.#.....##...#.......#......#....#..........##.#.####.....##......###..#..#......#..##........#.##...#....#.#.#.##...............#...#....#.....#....#...#....#.#............#..#.#.#...##.#..............#..#....#..........#..##.#....#####....###..#..................#........#.#.........#...............##.#....##......#...##.#.......#.
#.....##.#.#.....#..#........#....#...#..#..#...#..##..##......#......#..###.#..##.##...#.#####.............#....##....#.....#.#...#.#..##.####..#.#.....#..##.........##.....#........#...........#....#.###..........#........#......#..##.##..#.....#...#.#..#......#.#......#.#...#....................#..##....##...#...........###......#....##....#......##.#...#.............##....#...###.##........#....#........#...#...#.##..#.##..#.#.......#.#...#..##.........##....#....##.#..#.....#..#...#...#...##..#.#..#..........#.##.....#.#...#.........#.#...#....#........#.......#.......#......#..#..##..#..#.....#..##..#...#.....#.........#....##....#..#..#....#..#...#.......#....#.......#..........#............#.#.##.#............#....##...#.........#..........#..#.##.#...##..#....##....#...#...........#..........#..#...##..#..#.#.............#.####..##.#.#...#..........#.#####.#.#..#..#..#...#.###.....#.#..#..#...#.#.........#.....................#..#............#....#.##.#....#.#..#.#.........
#.#...###..#.............#.#.#....#....#....#...#...#..........#......##...###..##.#...##.##.##.....#.#..#..##...#...........#..........##...#.#.#.#.#...#.#..##.........#...##.....#........#...........##.#.......##..........##............#..#.....#.#.##...#...............#........................##..###.#..#....#......#...####..#...#....##...#....#..................###...#.............#.#......#.#.##...#....#.....###..#....##...#.......#......##.#.......................##.#.....#.##.#..#..#.....#....#......#..##.##.#......#....##.......#...#.....#..#.#.....#......#.......#.#.....##............#........#.......#..#....#.#.....#....##........#....................#.#.#.#.......#......#....#..........#..#.#..#.....##..........##...#...#.#..#...#...#...##.....##..####..#...#.#...#.#...#...#....#....#.........#....#.#...#.#......##.#.#...###..#.#.....#......#..#.##.#..#..#.#.....##.....##.##.##..##......#.........#.....#....#.#...#.....#..##...##.............#.##....#........##..........#
###...#....#.............#.#.#..#.#.#.##.#.....##.....#.#......#.......#..#.#....#.##..#..#.#............#.##........##.....##..#..#.....#....##.#.###.....##.#.......#..........#...........#........#.....#.......###........#.......#..##.#.....#..##.#.........##..#..#.....#.##......#.......#..#...###.....#...#..........#...###...###.#.....#....###.#.....#...#.....#...#.........#..........#...#...........#....#.....#.#.#...#..#.##....#...###.....#.##.........##...........##..#........#......##.....#.#....#...#.....#...........#..##.......#.......#.#.#..#.....##.....#.......#.#....#.#.#...#...#.............#..#...#.#......#.....#........#....##......#..#..#........##.#.........#.....#....##..........###..##.#.....#..........##....#...#.....#........#......#.##..###...#....##.....#.#.#.......#.....#.....#........#.......#.........#.#...#........#.#.#.........#....##..#............#....#.#####..##...##.......#.............##.#...#........#.....#..........#..#.#..##.#....#.#.#..#.......#.
###.#..#............#...........#.....#.....#...#...#..#.......#......#..##.###....#...#..#.#.........#..#.....#.#....##....##..........#..#...#.#..##...#..##.#......##.....#..................#..#....##.##.........##...............#....#.#..##......#.##...#..#......#.......#...#...........#.......#...##....##..........#.........###.......#...#....#..##...........#..#.#...#....#........#........#...#..#..#.......#..#........#....#...#...#.....#.#............##...##....#.##..#..#.#....#..#...#.#.##..........##..#.....#......#....##.#.#......##.....#..#.#.....##.......#.....###....#.....#..#.....#.#...#..#.#.##...#....#.#.#...........#.....#.#..#..........##.#....#.#.#.#......#......##...##..#.#.....#....#.#......#.......#..#.#..#....#.#..##..#.....#.#....##.#.#..#..##...#.#...#.#.......#....#....##.....#..#...##.......#...........#...#.#....#...#.#.........#....#...#...#............#.#...#.....#..#........#..##...##.........#.#.........##..#............#....#..#......#.#....#........#
###...##.................#.#.#........#....#...##..##.#....#...........#..#.#.#....#....#.##................####..#....#....#...#..#.#...#.#...#.#.#.......###.#........#....#......#..#...........#....#.#.........#.##.......###.....#.....#...#....##.#.###.....#..#...#...#...##..#...#.......#..#...##..#.#.#...#...#......#...#.#..#.#..#....##....#...#...#..........##...##..#...........#.............#..#.#..#...#...#...#.......##.##...##...#.#.....#............#.....#....##.#.##..#.#...#.........#.......#.....##...#.##.###.........##.........#.#.....#.......#..##.......##....###....#.#...#.#............#...#.......#.#............#........#....##.#....#..#.....#....#.#.#.#.............#....##.............#...##.....#...............##...#....#.............##.#..#.#..#........#....#.#............#....#......#.......#..#...#........#.#...#...##.###...#.#.#.......#..#.###............#.#........#.....##...#....#...........#....##.....#.....#..###..#...........#....##......................#.#.
....#.#..#.#........#....#.#.#..#..........##..#...##..#...............#..##.#..##.#...##..##.#...#.#.#....#...........#....#..#.....#..##...###....##...#..####......#..#..........#..#.....#........#..####.......#.#........###.....#...#.#...#....#....#.......#..#..#....#.#.#...#...##.........#....#..#...#..##...#..........##.#.#.#.......#.......#.......#.........#..##...#.....#...#.#.##.....#..#....#...##...#..........#..#.##.###...#.....#....#.............##...#.....####.##............#.....#.###......#..#......#..#.#....#.#...#.#.#...#.......#....#..#...................###.....##.##..#...#....##.....##...#..........#.......#........#.#..#..#....#.....##......#............#.......#...#.....#......###..#..............#.##..........#.#......#...#.#..#.#.##.#.##.#..#....#.........#.#.......#......#....##......##.##..#.#.......#...#....#.#..##.#.#..............#.###.#..........#......#.#..#...#....#......#.#.......#.....##.#.........#...##..##...........#.#.......#....#.#..#.......#...
....#.#.##.#........#....#.#.#....#......#..........#...#..#...#......#......#...#.##..#..#.##....#.........##.#.##..#.#....##.##..#.....#.#.#.......#.....#...#......#..#...#...#...........#........#.#.#.#.......##.#.......#............#.#.......#....#....#..#..##.##...#.#.##..#...........#.......#....#.#..#....#..........##...#..#....#......#.##.#.........#....#....#...#.....#...##..##.....##.#...................###.....#.#..##.#......####......##...#.....#............#..#...#.#.###.......#.#.###...#..#...#..##....##.....#....#..#.......##........#.....#..#..............##.....#...#.#.#...#........#...##.....##.#..#.#.#...........#..#.#..##............##......##..#........#...........#..................#..............#..##...##...#.#...#......#.#...##.###..#.#...#....#.#.......#...........#...##.....#......#..##..##.......#........#.##..##.#.#..............#..##.#...#......#.#.....##.###.......#.....##.#..#...............#.#........#....##..........##.#..#....#....#.#.##.#.....#.#.
###.#.#..#.#........#......#.#..#.#.#....#..#..#...##.#....#...#......#..##..##....##..##....#......#.#....#...#.##....#....#.....#..#...#######....##.....#..##.......#.#...#.........#.....#..#..#....#..#....................##..........#.#...##...#.#.........##.........#.#.#...#...#..............#.#...#.....#...#.............#............#....##.....##.#........#.....#..##........##..##.#...##.#...##....#...#.....###.#.....##.##....#...#.#.......##...#......#....#....##.#..#..#......#..#...#.#.##..#.#............#...#.....#.#...#...#...#.###.......##.......##........#.....##......#.#.#........#.##.....##...#...#.#..#.#.......#....#........#..#.......#..##.#....#.#.#................#...............#....#.##.....##.....##.#.##.......#.#..##........#...#.......#..........#.....#.#.#.#...#....##.........##.......#.......#.........#.#......#.#.#.#.....#....#..#.#....#.....#..#...##....#.#.##.#..#.#...#....##....##.........##...#.......#...#...#............#.#....#..#.................#..#
.#..#.###..#.....#...........#.........#...##..##.....#.#..#...........#..#.##...#.........####.....#....#.#...#.#...###....#...#.##.....#.###...#..##...#.#.#.#......#.##...#...#..#........#..#..#....#####........#.........#.#.....#..##.##..##...##.#.###.....#...#.##.....#.#.......##.............##...##................#...#....####......#.....#......##.#...#....##..#.#..#.....#...#....#.#......#.#.#.......................#....#....##...#.##..###......#.....##.........#.##.#...#.#.##....#..##.#.......#.....##..........#......#..##.#.....#..##.....#.....#....##........#.....#.........#.#.#......#..#..#......##..........#............#.....##.........#..#..##.#.....##..........##...........#..#........##..###..............#..#..............##..#...#...##.#.#....##.#.......#.#.....#.#.....#...##.....#........#......#...###......#..#.......##.##..#.#...#....#....#....##....#..#..#.#....####..#........##....##.#.......#.....#....#..........###..#...........#.......##.#........##.#.......##
........#..#.............#.#.#.........#.#.##..#........#......#......#.....#.#..#.....##.#.#.....#.#....#.####..##..........#.....#....#..#####.#.###...#..##.........###...##........#.....#..#..#.....#............#..........#.....#..#......###...#...##...#..##....#......#.#...#...##.........#...#.......#..##.......#..#...##....#.#.#....##...###.....#..#.........#..#.#...#....#........#.#................#...#.....#.......#.##..##..##....##.....#............#.....#....###...#....##.###..........##..#.#..#......##....#.#......#...#...#.......#.......##.#..#..##.....#..#.....#......##.###.....#....#........#.#.........#.#.......#..........#..#..#.......#............#..........#.......#...#.........................#.......#####...#....#.#......#.....#.#..#....#.#.#.#.#....###.....#...#...#....#.....................#...#.#.........#.#.#...##.#.....#...#....#.......#.##..#.......#..#.....##.###..###..#..#.....#...#.....#....#.#.#.#.....#....#..##...........#.#.##..#.#......#.#..........##
......#..#.................#.#....#.#....#.....#........#..#...#..........#..##....#...##.....#..........#.#.#.#..#..##......#....#..#...#..#..#.#.........#..........##.#.......#..#........#.....#....#..##...................##.....#...##.#..###...#.#.##...#...#.#..#.........#..#...#.......#..........#...#..#....#...#......##......#....#......#..#.#...#..............#.#..##....#..........#...#..#.#...............#.###.#......#.#.#........#.....##.##...#..........##.....#.#..#..#..#.#..........#.#.....#..#......##..#.#..............#.......###.....#..........##.............#........#..#..#......#.#........#........#......#.....#....##..........#....#......#.#......#.#........#......#....#...#.#.......#..................####..#..##.....#......#...#...##........#####..#...##....#.............#.....#.....##.......#.#............##.....#...##.#.#.#.#.#.#..........#.#..##...#......#...........#....#....#.#...#.#...#...#.#....#.#............#.....#..........##.#..#.#..#......#..#.#.......##
..#...#.#...........#....#.#.#....#...#..#.##..#....#......#...#......##.###.##..#.##..#....#.#.....#.......#....##..#.#....##.##....#....#..###.#..........#..#.........#...##.....#........#..#..........##........#..........#.........####...###..##...##...#.....##.#....#...#...#...##...............#...#.#..#...........#......#.#..#....#..#...#.#..#.....#............##.............#....#.#...#............#.......#...#..#....##.#..#.#....#..#..#.#......#..........##....#.#..##.....#.###..#.....#.#.#.#........#...#.#..#.#....#....#..#.....#.#.#.......#.....#.........#.#.......#....###.###.##.....#.##..#..#.......##.#..#...............#..........#..........##......#.#...#......#......##.......#.........##.###......#.......#.#.#...##.........#..#...#...#....#.##..#.##........#...#.#.......#....##.........#.......#...#..###......##.#...#...##.....#.....#.........##.##.##......#..####........###....#...#....##.#..##...##.........#.#.....#...#...##..........#........#.#........#........#..#
#........#.#........#........#........#..#.#...##.....#.#.................#..##....#....#.....#.......#..#..###......#.#....##....#..#..#.#.###.....#....#.#..........##.#...##........#........#..#....#...#........##....................#..#..#.#.....#.###..#..#..#..#....#.#.##..#...##......#..#...##..#...#..##.......#..#....#...#.#........#.....##....##...............#..............#.....#........#..#.#..........#.#.......#.#..#.#.......#......##..#.........##............#.##..#.#.#.........#....##.#.......#...#..##..##....#.#...#.#.#......#....#.#....##.#.........#.#.....###......#..#.........#.##.....#...##.....#..#...#..............#.#..#.......#......#.#....#.#...#......##.....##....#..#.......##.#.###......##.......#...#..#....#.#..#.......#.#.##.#.##...##.....#...#.#...#.#.#..........#..........##..#......##....#......#....#...#.#..#..............#.......#.#...#.#.....####.....#...##...#......#...#....#....#.....#....#.......#...#....#...........#.#.#..#.......#.#..#...........
##..#..#.#.......#..#....#.#........#.#..#..#..#......#.#..#...#......##...#.##.....#..##..#.#....#..........##..#...###....##..#.##.#...###.#......##.....#.##.......##.........#...........#..........#.#.#.......####.......##......#..###.#..##....#.#...#......#.............##..#...##......#..................#.......#......#.#..#..#...........#.......#......#.....#....#...#....#....#.....#...##.....##.#.#....#...#.#.......#.##..###.##......#...#..#................#......##.......####.......#..#.#.#.#.......#....#......#......#...#.#.#.....###.....#..#.#.....#........##....###....##...##........#.##..........#..#..#..#.#.#..........##..#.#..##.#.......#..#..#.....#..#.#......##.....##...##................#.#.....#......#..#.##..#....#.....#..#...#.#.###..###....###.##...##....#..............#..............#...##.##...##......#..#.#......#.##......#.#....#........#.##.........#.##...#.#...#...#.......#..#..#.......#........#.#.#.........##..#............#.#.##.##.#......#....#.....#.#.
..#.#..##........#..#........#.........#...##...#...#...#......#.........####.#.#..#...#..##..#...#......#.#.###.....##......#.......#..#..#.....#.##........##.........#....##........#.....#..#.......#...#........#.........#.#...........#...#....##.#.#.#..#...#.#..##...#.#..#..#....#......#......#.......#.......#...#.......##..##.#....#..#...#....#..#......#.........##...#........#..........##.....##...##...#.......#.#...#....#....##...#..........#...#.....#..........#.#...#....#####.......#.#.##....#......#.........##..............#...#.#.#...#....#.##....................##........#..........#.....#..#...#...#..#..#...#..........#...#.##.#.......#..#..#.......##...................#...#...#.......#..#...##.....#.......###............#..##..#.....#.#.##..###..#.##.#......#...#.#.#.........#...........#.......##.##..###...............####.#...#...#......#....#...##.#.#.#.....##.#...####..##..###..#......#.#...#....#.........#...........#...#...........##.#.....#........#....#.....#.#.
..#.#...##.......#..#........#..#...#....#.........##....................#.#.#..##..#.....#.........#.#....##....##..#......##.#..#.....###..#...#.##....#.##..#.......##.....#..#..#..#...........#....#.###.........#........##......#..#.#...............##.....#..#..#......#.....#....#......#..#...###..##.....#...#...#........#...##..#..#.##...####.#.....#..................#....#........#.....##.....##.#..........#.###.....#.##.#....#....#..#......#....#.....##...#......#....#..#....###..#..##...###...#.........#..#.........#.#.............###.....#....#.....#........##....###....###..##..#........#.....#...##..#..#............#....#......#..#......#.....#........#..#........##.....#.....#..#.#......###.###......##........#..#..#.........#...#.....#.###....##.#..#..##...#.#.......#.#...................##..#...#...#................#.#........#.#.#.#...........#..#.....#.......#.........#####...##..##....##.#.......###...##.#.#..........#.#..##.............#.....#........#.##.........##
.##.#.####.#.....#..#........#..#...#.##...##......##..##..............#..#.#...#.........#...#...#.#....#....##..#...#.....##.##.#..#..#..#.##..#.###.....#.#.#......####...#...#.....#.....#..#..#..#.#####.......#..........#..........##..#..........#.###......#..#..#...#...#...#....#.............###.#......##..............###....##....#..#....#......##.#...#....##.......#.........#.#.##........#.#....#..#...#......##.##..#.##..##.......#.#...#.#..#..........#....#.....##..........#.....#..##.....#......#......#..##...#..........#.#.#......#....#.#..#..#.#...#.....#.........#....#.#..##.##.....#.##..#...##..#..................#.....#..#.#...#............##.#.....#..#.#.............#.....#..#.......##.#.#.#......#......###.###............#.........#..#.#....#.#####.##....#....#.#...........###...#.....#..........##............#.#.....#..#...#.#..........#....##..#..#.........#.##....#.#.......#....#....##....##...###...##...#..........##...#...........#..#..#..#........#..#.......#.#.
.##...##.........#..#....#.#......#....#...#...##..#..#.#..#..........##...##.#.##.##..#...##.#.....#.#..#.#......#..#.........#...#.#..#...###....##....#.#..........##.....#...#.....#.....#..#..#..#.##..#........#...........#........#.##...###...#...###..#..##....##........#......##.............##...##.............#......#..#.#..#......#....###.....##..........##...##...#..........#.#......##.#........##...#...#.....##..#.#..#.##......####.......#.........##...##.......#.##..#.###..#.....#..#.##..#.#..#...#..#..............#.....#.....#..##........#..#....##.....#.##....##.....##..#..........#..#..#..#.#.##..#.......#............#.....##.#..#.......#.....#....#............##..........##..#.........##.#........#......#.#..##..#..........#..#...#.#..##....#..##..#.#....#.....#.....#.........#.........#...#...#..#...#........##.......###......#.#...#.......#.#........#....#.....#...##........##......#..##.#..##.....#........#.#........#.#..##...........#.#.#.....#......#.##.........#.
..#.#.####.......#..#........#....#.#......##..##..#..###.................##....##..#..#...##.#.....#....#..#.#..#....##....##..#....#..#...####.#.#.....#..##.#........#.....#.....#..............#......##..........#........##......#...###....#....#....##......#..#.#.........#..#...........#..#....#......#.......#..........#.#...#.........#.....#..#..#...........#...#.....#...............#...#....#.##.#.#....#.............#..#.#.#..##...##....#...##..........#..........#.#.##..#.#.#..#..#..##.#.#.....#..#...#......#..#.....#....##.#.#.....#.#...#....#.##....##.....#..#....#......###.#.#...........#.....#.#.....##.#....#.#.....#.....#.......##......#..#...#......#.#...#.............#....#...#.......#.##.##..............#..#..#..#......#......#...#...####.#.......#...#...##....................#...##....##..#...#..#............#......#..#.#.###.....#.#.........#..###.#.#.#......###...##....##...##...#.#..##....##...###....#.#...#........#.#..#...........#..#..#.........#...##.#.....#.##
.##...##.........#.........#.#..#.#.#..#...#...##..##.##...#.............###.##.##.....#....#.#...#.#....#..####.....#.#....##.##.#..#..##..###..#..#......#...#.........#.............#.....#..#...................#.#........#.............##.......##...##..........#........#.....#......................#...#..##...#...#..#...#....#....#..............#.........#....#.....#.............#..##.#...#..#.#.#....##.........#...##.......####......#..#..###.##.........##....#.....##..##..#.#.#.............#.#...#..#...#.....##..#.....#.#...#...#.....#.#...#...##.......##.....#.......##.......#.###.##...........#..###...........#..........................#.......#..##.#....#.#.#........#.......#................#.#.#.#......#.......##.##....#...#.#..#...#...#...##....##..#..##.##...#.#...#.#...#...#....#.....#.....#......##.##..#........##.....#....#.###...#........#.....#.#..##.#.........##......#..##.......##.#........##...#........#.#..........#................#........#.#....#...#..#.....#.##
##....#.##.#........#......#....#.....##.#.##...#...#..#..............##.#..#.#.....#...#..#.##...#.#......#.#.#.##...#.....#..#..#..#..###.###..#..##...#.#.#.#.........#...#...#...........#........#.#..#.........#.#.......##.........#..##..##......#..#...#..#..#...#...#.#.....#...##......#..#...#....##.#..##.......#..#...###.....#.#.....#...#.##.#..#..#...#.....#..##.............###.#......##......#.#.##..........##..........###........###...#..#...........#.........###......#.#.##.#......#.#.......#..#.......#.#....#..............#...#.###.....#.#..##.#.................###......#..#..##..#....#...#..#..........#....#.......#....##..................#...#.......##.#........#......##....#..#........##....##.............#..#.....#.....#...#..#...#....#.#.##.....###..#....##.......#.........##....#..............#......##......##.......#....#.#.#.#........#....#...#.#..#.......#.##....#..##.#...#..........#.#..#.....##......#.#............#..##..........##...#..#............#.#.....#.#.
#...#............#.......#...#..#...#.##.#..#..##..#....#..#...........#.....##.#......##..####.............#.....#..###........#....#..##.###.#...#.#.....#..##.......###...##..............#..#..#....#.##........####.......#.......#..#.#.#..#.#.....#...#..#..##..#.#.........#......#.......#..#....#....#.....#...#...#............#.#.#..........#.#....##...........#..##..................#.#...##.....#..#.#....#.........#...#.#..##.#.##....#.....#.......#..........##....####..#..#.######..#..##...##..#.#......#..##.#...#...........#.#.#...........#.#..#.#.....#..............#......#...#...#......#.##..#..#....#.....#..#...............#..#.......#....#......#......##..#................#...............#.##..###.....#.......#........#........#.........#....#..##...###........##.......#.....#...##....#......#......##.....#........#..#...#.#.##..#..#.....#....#..#..#.#...#.#.......#.#....##.#.#.#..##...#..#.........#....##...##...#...........#...##..........#..#.##.#............#.#.....#.##
##....#.##.......#..#....#.#.#..#.#.#..#...##..#....#.##...#...#......##.#.#.#.........##...#.#...#.#....#..#..#.##...##....##.#........###..###....#....#..#.........#..#..........#..#...........#..#.#..##.......#.#........##......#....#....##....#....##..#..##.....#........#..#...........#......#...#.#....##..........#...##........#..#........#......#..........#...###...#....#...##..##........#....#.#.#....#.....#...#.....#..###...#...###...#....#..........#..............#...#.#.##........#.#..#....#..#..#...#...#..##............#.......#.#.......#..#..#..##.......#..............#..#...#.....#.##.....###...........#.#................#..#....#...........#.#.....#....#.......#..........#...#............................#....#...#..........#......#.#......#.#....###.#.....##...#.........#..........#............##.#.....#.............#.#.##.##......#.#....#..#.##.#.#.#...#............##.##.##..#....##.#..##.#..##.....#...##...#.#.....#..#.#..#...........##.#.......#....................#
#.#...##.........#..#....#.#....#.#....#.#.##...#..#...##..#.................##..#.##..#...#.#....#......#.#.....#....#......#.#..#..#.......##..#.##......##.........##.#...##..#..#..............#..#.####........##.........##.........#..#........##.#..##.....#...#.#....#.#.....#...##......#.......#..##..#...#...#..........##.#.###..#..#.#......#..#..##.....#........#.....#........###.##......#.#.#...............#.#...##....#...##...#....#........#...........#......................##.#........#.###...#..#..#...#..#..##.......#..#........#.#.....#.#.##.##.....#.....#..#....##......##.#.#.....#..#.#...#....#.#........................##..#....##.#....#..#............#.#.........#......#.......#.#.....#.##..##.............#..###...##.....#..#...#.....#.###........#..#.#....#.#...#.#.............#.................#..##....#......##........#.#.....#.....#....#.....#...###.#.#..#...###...###.......#.#..##....##.#..#......#...#....#..........##................#.#.#..#.......#....#.......#.##
#.#...###........#..#........#........#....#....#.....#.#......#......##..#####.#...#..##.........#...#......###.##..##...........#.....######...........#.#...#.........#..........#........#..#..#....#####........#.#.......##.........#####........#...#.#..#...#.....#...#.#.#........#.........#.....#.###....#...........#.....#..#..#......#....##.......#.#........#..............#..........#....#.#.#..#..............###..#..#.##...........##.....##.##...#..........##......#........#.##....#...#.#...#...#..#......#..##..#.......#.......#...........#....#.#..#.........#..................#...##..#..#.#........#..#..##.#..#...#..........#......#.#..........#.......................#......##...#...#.#.....###..#.#..............###.##..#....#.#..#...#.......##....###..#.##..#...##..................##....##....##..#......#...............#........#.###.#.#.#............#.##.##.#.#.....#.#.....##.#.#...###.....#...#.#.......#.#...##...#..........###..##...............##.#.......#.#.#..#.....#.##
.#.....#...#........#....#.#.............#.##...#...#..#.......#......#..#......#..##.....#.#.......#....#....#...#..#......##..#....#..#.#.#.#............#..##.......###.......#..#..#.....#.....#....##.#..............................#.##........#.........#......#.#......#.....#...........#..#...#...#...#.......#......#.....##..#.#......#....#...................##..#....##.........#..........#.#....#.#..#..........##.#...#.#...#.#..#....###...##..#..........#.........#..#.......###..#..#..##.#.#.#...#.....##..#..##.#......#.#.....#.#...#..#........#..#..#..#......#.#.....#.......##.#.......#....#..........##..#..#....#.......#...........#.##.#...........#.......##...#.............##.......#........##..##..............##.###....#...#.#......#...#.#....#.##.#..##...#............#.............#...##....##..#...##.##..#.........#...#.#.####...#.....#.#............#####......#...##....#.....#.....#...#.#...#.#..##.........#..#...#.....#..#.....................#...#........#....#.....#.##
.##....##..#.....#.......#.#....#.#.#..#............#.#....#..........#..#..#.#.##.##..##...###..........#.#..##.............#....#.....#.#.#......#.#...#.#.###......##.....#...#.....#.....#.....#.....#.##.......##.........###..........#....#....#............##..#..#.......#...............#......#.#.#......#................#.#.##.#......##....#.#.#..#.................#..#.........#...#..#....#...#....#..........#..#........##..##.......##....#.#..#.........##...##....###......#.####.#..#..#....##..#.#..#..#....#.##.##.....#.#..##...#.....#.#........#..#....#......#.#.............#..##..##..#.....#..#.......#..#.....#...#..........##..#.#...#............##.......##..........##.....#.....#..#.#........#.###......#......###.#.#..#...................#..#.#......#####..#...##....#...#.#.............#.................#..#.#.......#.....#..#.#.#...#...#.........#.......##.#.#.......##...#.##.##...#....#..#..#..#..##....#.....#...#.#.....#..##....#...........#....#.#.......#......#.....#.##
......##...#........#....#.#.#....#....#...##......##......#................#...##..#...#.##..........#....#.#.#..#...##....#...#.#..#...##.####.#.#.#......####......####...................#..#..#..#..#.#........####.......###.........####...##.......##.......#..#........#..#..#...#..........#...#.#..##.#..#........#..#.....#..###.....#..#...##...#..##.#...#........#.....#....#....##.##.#...#.......#.#..........#..#...#.....#.##.#..#...#.##...#..#....#.....#..........#.##.#...#.######..#..#......#.#.#..#..##..#......##............#.#.....#.#.....#....#.....##.......##....###.....#..#.#..#........#..#..#.#..#..........#.......#....##.....#.........#.....#.......#.#..........##.....#....##....#.....#.##..#.#......#.....###.#.........#.#...#..#...#.#.####...##.......##...........#...#...#.........##....#........#..#....#......#..#.#...##.#.###...#.#.#.........#...#.##.........#..#...##..#.##..###..##.....#.#...#.....#...##...#.......#........#...........#.#.##.#..#....#....#.#.........
#.#.#...##..........#....#...#......#.##...##...#...#.##...#...#.......#.##...#.#.........#.#.......#....#.##.##.##...#.....##..#....#...##.#....#..##...#....##.........#...#...#..#..#.....#..#.......##..#.......####.......##......#...#..#...#...#..#......#..#..#..##........#.......#.........#...###.#.......#.......#........#...###.......#......#.....#.#...#.........##...#........###.##.#...##...#..#..............##..#...#.##..##..#.....##...#...##...#......#....#.............#.###.....#...#.#..#..#.#.....##......#.#........#.......#...#.#.#.......#..#..#.........#..#......#.....##..##.##........#..#..###......#....#.#.......#....#........#..#....#.....##........#.#.........#.....##...#...#.#........#.#........##.....#.#.#.#..##.....#..#...#.......###...#....####..#....#........#.....#....#.....#....#........#.....##.......##.#...#..##...##.#.....#....#.......#.##..#.#......##....#.........##...#......#....##...#.....##.#............##....#................#..#.#........#........#.##
#.#...#..#.#........#......#.#......#.##.......#....#.#....#...#.......#.#.#.....#.........##.#.......#......#.#.....###....#..##.#..#...#.####..#.#.#......##.........#.....#...#.....#.....#..#..#..#.#.#.#.......##.#.......##......#.........###........##..#..#.....##...#.#.....#...........#......##..#.#.#...#...#...#..#....#.#.###..#.........#.......#......#....##...#...#.........##..........#...........#...#...#.#...##........#.#.##...#.#....##..#.........#..........###..#.....##.#.#.....#....#.....#..#..##...#..#.###....#.......#.....#.#.#.....#.##..#...........#.##.....#.....##..#............##..#..#.#.....#.......#.#.....#........#....##.........#...........##.#.#.............#...................#.###.......#.......#...#...#...#....#.........#.#.....###..#.##................#.....#...##....##....##.......#.##..###.......#.#.#.#...##.......#........#..........#....#..#...###...#####..........#......#.....#...##....#....#..........#....#...........#.....#.#.......#....#.#........#
.##.#......#.....#..#....#.#...........#...##..##...#...#..#...#......#....#.......#...#..........#......#.....#.##....#....##.##.......#.#..##......#.....#..##.......###...#......#..#...........#......##.........#.#.........#.....#..##...........#...#....#......#.##........#......#.......#..#...#.#.#.#.#..##...#......#........#..#.#..#.......##........#...#..........#...#........#.#.##.....#......#.........#.....###.#.....#....#..##...###.....#..#...............#.........#........#....#..##.#.....#.#.....##..#...#..#.....#.#..##.#.....#..##...#.#..#........#.....#..#....###....#.....#.##..#.....#..#..#.#......#.#........................#....#..........##.#....#.#..........##.....##.......#.......####...........#.....#...###...#............#...#....##...##.........#...##......#.#..........##....#.............#.....###.......#.....#.#.##..##.......#..........#..#..#.#....#..#.#..........##..#.#...#.#...#....##..........#.#...#.....#..#....#............#.#.#...#.#....#...#..#.....#...
#.....#....#.................#......#......##......#.......#...#......##.#.#..#..#.##...#...##..............###..#....##....##.....#....#..###.#...###...#..#..#.......#.....##.......................#.##.##..................#.#.....#...####..........#.#....#...#..#.##...#.......#....#......#.......#..#.#....#........#..#...#.#..##...#..#......#.##.#..##...........#.................#......#......#.#.#..#.##.......#...#.##..#.##..#.#..#...#.##....#..#...#.....##..........###..#..#.##..............#...#....#......#..#..#......#.#..##.#.#.....###...#...##....#...#.......#.....###.....##......#..#..#.##..#......##...#.#..#.........#....#.....##.#.......#........#.....#..#.#.......#.....##....#..#.#.....#..#.####.....##.....#..##....##...#....#.........#..#.#.......####......###.............#...#.#...##....##..#.......#..###......##.#.#.#.####..#..#...#.#.......#..#.#.###...#.....#......##.##.#....#...#.....##....#.....##....#.#.#.......#..##...##...........#.#.....#.#......#....#.....#.#.
.##.#.##.#..........#....#..........#......#...##..##.#.#..#...#................#..##..##.###.#...#.#........###.##...#.....#..##.#..#..###...#....##....#.####.......#.#....#......#...........#..#....#...........###.........#............#....#......#.##......##..#.#....#.#..#.................#....##.#......##.......#..#......#..#...#....##.....##.......#............###..#.....#...##...#.#......#.#.##.#..........#.##..##....##..###..#.........#...##...#..........##....#....#...#..##.#......#......#...#......#.....##..............#.#.......###...#.#.##..#.#..##.......#......#.....#.......##...........#...#............#.........#........#.#..........#..#...........#...........#...........##..#.#......##..#...............###..#....#...#.#...#..#...#.#.#.##.#.....##...#.....##...#.#...#...#...#.#...##....#.......##.....#.#.......#.#.#.#.####..#....#.#......#..#.#.....##...#..#..##.#....#..####..#....#..#..##....##...#.#...##.#.#.......#....#..##..........#..#..#.#.......#.#.##.#.....#..#
.##...#.##..........#......#....#.#...##.#.##.......#..#...............#.##..#...#.##...#..##.....#.#.#.....#.#..##..###....#...#.##....#...##.#.........#.##..#......##..............................#.#...........#.#........###.....#....#.#..##....#...##.......#....#....#...##..............#..#...###...#................#...###.......#...........##.#..#..#........#.........#..........#..#............##...#...........##.##..#.#..##...##...#.#...#.#......#......#...........##.#......#####.....#..#.##...........#..##.##..##..........#...#.....#.#.....#.#.........#.....#.........#......#...#..#........#.....#.#.#...##.#..#...#.....#....#........#..#....#........#....#.#.#.#.......#.....##...#...#.#..........#.........#......##..#..............#..........#.#.....#.#.#.#......###...#...#.....#.....#..........#..#....#..#............#.#.#...###........#.............##....##......#..#..#.....#..#......#...#....#......#....##...#....#.#.....#...#...##.............#..#....#....#.#.##.#.....#.#.
.#....#.#..#........#....#.#.#....#.#..#...##..#...#..##.......#.........##.##......#..##.##........#.#..#.#####.##..###....#..##.##......#.##...#............#.......####...##..............#........#.#.#...........##........#......#..###....#.#........#......##..#.#....#.#.....#...#.......#.......#...#.....................####.###........#....##.....##.#...#........###..##....#...#.#....#......#.#.#..#..#.............#......#.#.#..#....###...###.............#...#.......##.#...#.#..#.#..#.......#........#..##..##.#..###....#.#..##...........#...#.#.....#....##.......##....##.....##....#..#..#....#...#..#.#..#..........#.......#...........#.........#..#..##......##...........##.....##....#..#.#.....###...........##.....#..##.#..#.........#...#...#...##.#.##.#.###...#.....#......#...#.......##.....#....#...#...........##.......#.#.#...#....#.#.....#.#....#.......#..##.#.#..#..#......#...####..##...#..#..#..........#.#....#...#...........#....#..........#..#.##.........#.#..........#.##
.##.#..##...........#...........#.#....#.#.#...##..#..###......#......#..#..#...##.#....#.#...#.......#....#.#...#.....#....##.#..#......####.#..#..##.....#..#.......#.#....##.................#..#..#.#..#..........##.......##..........#..#..##...#....###........##.#............#...#..........#....##.##..#...#.......#..#..........##......##...#..#.#..#..#...#.........##...#........###....#......#.#..#.#..#.........#.........#....#..........#..##.............#..........#.#........####.#..#.....#...#.#.#......#..##.#..#.#.........#..........#.....#.#..#........#.....#...................##..#..#....##..#...##.##........#.#.......#........#..#..#.#....#.....##.#.....##..........#.......#.........#.......##..##.......#.....#..#..#...#...#.#..##......#.#.###....##..####.#....#.....#.....#...#....#...........#..#...#...#...#........#.#......#.#.##..#...#.#....#..#..#....##..........###...##..........#..#..#........#.....##......#...#.........##..#...........#....#..#.........#..#.#.......##
..#.#...##.......#..#....#........#.#.##...#.......##..##..#...#.......#.#.##...#.......#.##......#.#....#.#.#.#.##..#.#...........#.#......#....#..#......#..........#.#....#......#........#............###.......###........#.......#..#.#.#...#...##...#.#......#....#....#.#..#.................#...#.#.##.................#.....#..#..#...........###..#...#.....#....##..###...#....#.....#.#.......#.#.#.#.....#.......#......#....##..#...##...####......#..........#....##....##.#.#.....#.#..#.....##.#..........#...#...#.##.#.#....#.#.......#...#.#.........#...#....##.....#..#.....##........#.#.##.....#.....#...#......##.#..#...#.....#....##..#..#..#.#....#.....#.......##..#................#.......#.#......###.#.##.....#......##.#.##...#...#.#..##..#...#.#.##....#.#..#..#.#.....##.....#.......#...#.#...##....#.......#...#..###.......#.#.#....#.#.#.#...#.#.#.......#.##.#.#...#....#..#.##...#.#...##..#.#..##.#...#....##...#........#.............##..##..........##....#.##......#.#..#.......#.##
..#.#.##.#..........#....#.#.#..#......#.#.#....#..##..##......#.......#.....#..#..#...##.#.##.............##.##.....#.#.......##.##.....##..###...##.......#...........#....#...#..#..#.....#..#.....#.#.#.........#.##........#..........###...##...#....##...#...#.....#.......##..#...#.......#.......##.###....##....................##.....#......#.#.....##...........#..###........#...#....#......#.#.#.##.#.##.........###.##....##..#.#......###...##...#..........#...#.....##.#.#...#.#.#........##...##....#..........#.....##....#.......#.#...........#....#....#..#......#.#............##.......#..#.....#..#..#...##........#.........#....#......#.##.........#...#..........#.........#......#.......#.#.....#......#......#......#..####..#......#......#..........#..#...###...#....##....#...#.#.......##....#.........#.......#..###......#....#...#.##.#.#...#.#.#.........##..#.##..........###....##..###....#..##....#......#...##....#..#.#..........###...#...........#...##.........#.#.#..#.........
##....#....#.....#..#......#....#.....#..#.##...#..........#..........##.###.##.##..#.....#.#.....#...#..#.#####.##...#.....#..#.........#..###..#.#.#.......#........#.#....#...#..#..#.....#........#.####..........#........###.....#..##..#...#...##....##.....#..##.##.....#.........#..........#....##..##.#..#...........#...#..#.#..........#...####.#..##..........#...#....#.........###....#....#.#.#..#........#.......#.#.....##.###..#.....###......##.........##.........###...#..#..#..........#.#...#......#..##......#.###....#.....#.#.....#.#.....#.#.#..#..#..#......#.##...........###.#....#..#....##.....#.......##.#..#...#.....#....#.....#..#.......#......#.#......#.................##...##....#.....#.#...#.#......#.....####.....#.........#.......#...#....#.....##.#......#.#...#.#.#..........#....##....#.......#.......#................#.....#......#.........#.##.#.#.#...#..#..#.##...##.##..#..###.........#.#..##....##....#.#...#........#....#...........#..#....#.........#.##.........#.
#.#.#..#...#.............#.#..........##.#.##..##...#..#..............#..#.#.##..#.##..#..#..##............#..##..#...##....#...#............#.#.#..#.......##.#......#..#....#..#..#........#........#.##............#.........##..........#.#..#....#..#...#......#..#.#....#.#.##..#....#.............#....##................#...#.....##..#..#.##...###..#...#.#........#...#.#..##..........#....#...##...#.##.#..#...#.......#.##.........##.##...##.....#..##.........##...##......##.#.....#...##.....#..#.##....#..#..#...##.#..###......#...#.#.....#...#...#...#..#..#..................#.....###.#.#.##.......##..#..#....#..#.........#..........##..#.##..#.#....#.....#..#.....#..#........#.......#.......#.#......#.#.##..............##.#.##...#...#.#...#..#...#...#.....#....##...#....#.........#.#...#.....#...#.....##..#...##..#..#.#......##.#.....##....##.......#..........#....##.#.#........#.....#...#........##..........##....##...#..#.#.#.....#....#..#...........#.......#..#........#..#.......#.
.#.....###........................#.#..#.#.##..##.....#....#...#......#..#..#...##.#...##.........#.#.#..#.#####..#...#............#.#..######...#.###......#.#........#.#....#........#.....#..#.......###............#.......##......#..##.#........#....###........##........#.#.......##..............#..#.#.#.......#...........###.#.........#....##.#.#.........#.........##..#.....#...##...#............##.#.#........#.#.#.##.....#.##.#.##.....#.....#.##...#.....#....##....##....#....###.#......#..#..#....#..#..#....#.#...#...........#.......#.###.....#.#.....#..#......#..#....#......#....##.#......#..#.....#.#..#..........#.#..............#.#.....#....#..#...#......#...#.#......#......##...##..#.......#.##..###.....#......##.#......#.........#..#...#.#...#..#....#.##..#....#.#.....#.#.....#...###....#....##..#...##.#...#.#.......#.#...#..###.........#............#.....#...#......##.....#...##...#.......#..#..#..#.....##......#...#.........##..##...........#...##.#..#.........#.......#.##
#.#....#.#.#........#........#........##...........#..###..#...........#.###....#.........#####...#...#.....#..#.#...###....##.#..##....####...#.#.##......###...............##.....#..............#....#.#.........#..#........#..........#..#....#..#....#....#.............#.#.#...............#......#.#.....#..............#...##...........#.......#.#.#..#..#...#........###............###.##.#...##......#.#......#...#.....#........#.#...#.....##..#.#......#.....#....##.....#....#.......##...#...#.#..##...#.....##...#..#.#......#.#...#...#...#...........##..#...........#.##....#.#......#.##...#..#....#.......##.#...##.#....#............#...........#....#......#.#..........#......#......##....#...........#.#...##.....##.....#..#..#.......#....##......#...#.##.###..#...#..#...##....#...#..........#....#.............##.#....##......#..#.....#..#.##....#...#.........#..#.#.#.#.#..#..#.#.....####..#.......#.....#.....#..........#..#.#.#.....#..##...##..........#..#.#..##.#......#.##.......#...
.#..#.#..#.#.............#.#........#....#......#..#..#........#......#......##.#..##..##.#.......#.#.#.....###..#...#.......#..#..#......##..#....##....#..##.........###...#.........#..................#.#........###..................##..#....#..##.#..#...#..#...#........#.#......................#....##.#...#.......#..#...#.#..#.##....#........##.#.....#...#.....#..##.........#...#...#..#...##...#......##...#..........#..#.#........#...#..#.................#....#.....##.#.##..#.#.......#..#..#...#...#..#..##...#..#.##.....#.#..##...#......##.....#....#.....................##....##....#..#..#................#..#.......#............##..#.##..#.........#..##.#.....##.#.#.......#...........#....#.....###....##.....#.......###..#...#...#....#.......#....#.........###..##...##......#.#.#...#...#.#.........##.......#..#...#.......#..#...#..##..##....#...#.........#...#..#...#........#....###...#.......#.....##.#..##...###...##.#.#.#..........#..#...........##.#.#..........#.#....#.......##
###.#......#.............#.#.#....#...##....#......#..#.#.............##..##.#.....##.....#.#.....#.#.......##...##...#......#.##..#....####.#.#...##........###......####.............#.....#........#.#####........#.........#.#...............###..##.#.#........#..#.#....#.#..#......#.......#..#....#..###....#...........#...###.....#................#..#...........##..###........#...#.#.#......#..#.#..#.#.#....#.....##...........#.#........###..#...#....#.....#..........###......#.#.###...#..##.......#.#..........#.....#.......#.......#...#.#.#.......#..##....#......#.........#......#............#.........#..#...##....#.#.......#....##.....#....#.......#..##.#.....#..#.........#.....##....#..........#..#.##.......#..........#.#..#.........##..#...#.#.##.#.#.#..#.#.#.......##.......#..........#..........##..#...##.#...##........#...#...#.....#..#.#.#......#....##..##...#....#...........##...#..#....#..#.....#..##....#....##.#.#.#.....#..##...............#.....#.##........#..#.#.......##
#.#.....##.#.....#.........#.#......#.##.#.........##..........#.......#.#.##....#.#....#.#####.....#......##..#.##..#.#....##.##.......#.##.###...##.......####......##.#...##..#..#..#.....#.....#.....#............##...............#..###....##...#.....#......##....##...#.#..#......##......#..#...###..##.#..............#...####.#.#.....#.#....#.......##.#............#.....#........#....#........#........##.......#.#.#...........##..#....#.....###..#..........#.........###...#..#.##..#...#..#..#..##...#.....##......#...#......#..##...#......##.....#.##..#....##.....#.##....#..........#....................##.##...#...................##..#.##.##.#....#......#.#..........#......#......#.....#..#.#......#...###......##...........#.......#....##..#.......#.##....#.##.##.#....#.#.............#...##.....#.............#.....###......##.#.#.#....#.#.#.#.#.#.#.........#..##..#...#.....#.##...#.#....#..#.#..#..#..#......#.....#....#.....#.....#....#..#...........#..#.##.........#.#..#.........#.
..#.#.#.#..#........#....#.#....#...#.##.#.....#...#..###.................#.....##.#...##.#.......#.#.#....#.#.#.....###.....#..#.#..#..##..##...#..#....#.##..#.........#...##..#....................#.#.#.#........###.......###.....#...####..#.#.......#....#..#..##..............#....#.............##...#..........#...#..#.....#...#.#.#....##....#.#...........#....##..###..##............##.#....#...#....#..#.......#.###..#....#..####..#.....#...#.#.#....#......#...##....####.#.......#.#...#.......#.#.#.#..#..#......#...##......#...#.#.#.....#.#..........##....#......#.##....###....###...#.#.........#.....###.#.........#.#.#.....#...........#..#......#.....##.#......#.#.........#.....##...#...#............#..#.....##.....#....##...#...#....#...#...#.#.#..#.##.....#...##...###...#...#.........#...........##..#...#...#...##.......#.#.#.#..#.#.#...#................#.#.##....#............#...####..###..##....##.....#.........##...........#..#.....#...........#...#..#..#....#...##.#.....#..#
###......#.......#..#....#...#..#...#..#...#...#.......##..................##.#..#.#...##.#..##.....#....#....##..#..##.........#....#....#####..#.###.....##..#......#..#....#.....#..#...........#....##..#..................##.........###.....#...##....##..#..#..#.......#.#.....#....#......#.......##.###.#...........#..#...#.##.##.#.#..#.#.....##..#.........#........##...##............##.#....#.#........#....#...#...#..#..#....#.....#......#...#..#...............##.....##...#..#..##.#......##.#.......#..#...#..#..#...........#...#.#.#...#...#...#...##.......#......#.##.............#..#......#.....#..#..##..#...........#.......#.....#....##....#....#........#......#...#..............#...##....#.......##.##..............##.###...#...................#...##.#.##.#.#.#.#....##....#.....#...#..........#....#........#.##..#.............#...##...#.#...#.#.#.........##....#..#.#.....##.#...##.###.....##...#.....#.....#...#.#...##.#...#........#.#..##..........##.#.#..##.#......#..#.......#..#
#.#.#...##.................#....#.#......#.....##..##..#...#...#......#..##..#..#..##..#...#.#......#.#....#####..#...#........#........###.#.##.#.......#.###........####....#..#.....#................###.........####.......#..........#####..###.........#..#......#........#.....#...#.......#........#.....#...#...#..........####......#..#.#......##.#..##.....#........#.#..............#.##.....##......#...##.........##...#....#....##..#...#..#...#.......#.....##....#......#..#...#..#.#.#..#...#.#.##..#....#..##.....##........#.#..#..#...............#.#..#......#.....#..#....###....#.....#........#..#..#...#.......#....#...#..........##..#..#.#..........#..#..#..........#......##.....#....##...............#.##............#..#.....##...#.....#........#....#....#.##.........###...#...#.#.......#......#....##..#...#...#..###...........#.#..###.#.#.#...#.#....#..#....##....#....#...##....#.#..##.........#.#...#.........##.....#.#...#.....#..#.#..#...........##......##.#......#..#.........#.
#.#...#....#.................#....#.#..#.#..#..##..##.#.#..#...#.......#.#.#.#......#..#.....##.....#............##...#......#.#...#.....##........###.........#......##.#.......#..#..#........#..#..#...##..........#.........##.........##.#..#.#..#..#.#.......#..##..........#...#...##......#..#...###...#.........#...#..#.........###...........#.#.....##..........#...##...#.........###..#........#...#..#.##...#...#.#...#.....##......#.....#.#..#.#......#.....#..........##...##....#..#........#...##.......#............#.#....#.#..##.......#..##...#.#.#.....#..##.......##....##......##.#....#...........#...##..#..##....#.#.#..........#.....#.....#....#.....#.......##..#....................##.............#.###......#........##.##.............#......#....#....###..#.....#...###...#...#.#.......#.#..........#..........#..#.#.........#...#.#......#.#.....#.......#.##.###...#.......##.#...##...##........#........#..#.....#.......#............##................#...#...#......#.#..#.......#.##
.#....#....#.............#.#........#.#...............#.#.............#.....#.#..#.##.....#.........#.#..#.#####..#............##.##.....###.###.#..##........#.........##....#.................#........#..#.......#.##.......##..........#..#....#.....#.#....#..#.....##........#..#....#..............##........##..........#....###.#.#..#..#.#.....##.....##.....#....#...#.....#........#...##.....#.........#..#.......#.##.........#.##...#....#.#...#.#.##.........#.....#....#.##.##.......##...#.....#.#.#...#..#......##.............#..#....#......##...#.#..#....#...#.....#.##.....#.....#.#.##.........#.#...#....#..#..##..............#.....#.....#..#.#.......#..##.#....#...#........##...........#....#.....##....###......#......##.###..#.............#.......#.##.###........#.....#......#.#.....#...##.....#........#......##...##......#.................#.#.#......#..#.....#..#.#.......#.#.....###...#..###..##....#.....#....#..........#.......#..###...#...........#...##.##.#...........#.......#.
#...#..###.#.............#......#.#...##.#.#........#.................##..#.#.#.#......#..#.##....#.#....#....#......#.#........#.........##..##.#.......#..#.##......#.##....#.....#..............#....##..........##.#.......#..............#............#.......#..#..##...........#...................##.#...#.......#......#...##.#..#......#..#...##...#..##.#.........#..#....#.....#...#.#........##...................#..##.##....#..##........#.#....##......#.....#...............##....###.#...#.......###.#....#...#..##.##...#....#.#..#............#.....#.....#.....#.....#..#....##.....#...##......#..#.##..#..#...##...#.#..#.#.............#....##.#..#....#..#...#......#...#.#.......#.....##................#...####......#......#####...#....#....##...........##...###.#..##.#.....#..................#......#........#....#......#........#.#...#...#..#.#...#.#...........##...#.#...#......##.......##......#......#........#.....##....#.#.#.#.....#.......#..............#.##.##......#...##.#.....#.##
#...#.#..#.................#....#.#........#...##...#...#..#...#......##.........#.##..##....##.....#....#.#.##...#..#......#..##.##.#..#.#...##...#.#.....#.#...............#...#..#..#...........#..#...#.#........###........##.....#..#...#..###..#....###..#........##.....#.#.......#.......#..#....#....#....#.................#..##...#..#.##....##.....#...........##..#.....#....#.....#.##.....##.#.#....#.#........#.#.#.#...#..#.#.#.......#.##...#...#..........#...#.....###..##......#...............#.#....#..#...........#....#....##...#...#..#........#.....#..#......#.#.....##.....###..##.##..#....#......###..#...#.#....#.#.....#.....#.....#....#....#..#..........#.#.#........##.....##...##..........####.####......#......#.###...##...#........#...#.#..#.#....#.##....##...#.#.....#.#.#.......#.....##............##.....#.#......#....#.#.##.#...#.#...#......#..#.##.#..........#...##.........#....###..##.#...#....##.....#...#..#.............#...##.............#..#.##.#......#..#.#.....#.##
.##.#.#..#.......#.......#...#..............#..##.....###..#...#......#..#.#....##.#...##.#..#.............##..#.#...#.#.....#..#.#..#...##..###...###.......#.........#.#....#.....#........#.....#......###.........##.......###.....#..###....#.#..#..................##...#....#..#...#..........#.........#.............#........#..#.#..#..#.#.....#......##.....#.........##.............#..#..#....#.#......#..........#...#.##..#..#..#.#........#...###.#....#..........#.....#....##..#.#..##...#..#....##..#.#..#..#...#..#..###....#.#.....#.......##....#.#.##.##.....#.......#......#.....##..#............#......###..#...#.#......#..........#......#.........#.....#..#......#...#.......#.....##.......#.......#.#...#.#.....#........#......##.....#..##..........###...###.#.##..##...#.#...#.#...........##..................##.##..##........#.#.#....#....#....#.#.#....#..........##...#......#.#....#####.#..#.#..##....#..........#.#...##...#...........##..##...........#...##.#..#....#.#.#............
......##...#.............#.#......#.#....#.#....#...#.................#...#.#...#..#...##.#..##...#.........##........#.....#..##.#..#..#..###.#.#..##.....#####.........#...#.........#..............#....#.........#.#.......###.....#..####........##...#.#...........##...#....#..#...#.......#......##..#.#.#..#........#..#...###..#.#........#....###.#..##.#...#.....#..#.....#....#...##...#.....##.#......#.#........#.#.#.......#.......##.....#...##...#...#......#....#....###..#.....#..........##.#.###...#.....#....#.##..##......#.....#.#......##........#.#.....##.............###....###......#.....#.##..#..###.##.....#..#.#..................##..#.#....#.....##.#......#.......................#..#.......#.##....#............#..#.##.........#...#..........##.#.####..###..#....#.#.....#.......#....#....#......#..#...##.....##........#...#......#..##.#................#..#....#.......#.#....######.#..#.#..##.#.....#..##....##....#.#.#............#..##..........##....#.........#...##.#.....#..#
###...##...................#.#....#.#.##.#.#...##...#.##.......#......#...#.###.##..#..##..#..#.....#..........#..#...#...........#...........##....#..........#.......#.#.......#.....#...........#..#.#.##........#..#.......###...........#...##...##...##.......#.#.........#.........#.......#..#.....#.#...............#..#....#.#..#......#.#.....###.#...#.#........##...#...##....#....#..##.....##...............#...#.##........##.###.......#.##....#.##.........#....#........#..#.......#..........#.##....#......#..#..##.###..........#.......#.........#....##.#...#.....#..#....##.....##...#..#...#..#.#......#...##...#........#..........##..#.#...#.#....#.....##.#....#............#......#....##..#.#.....#.##..###.....##.......#.###..#....#.....#..#...#....##..####.#.#....#...#.#.........#.............##.....#..#....#.#.....#.......#.#.#.#.####.#...#.#.#......#..#....#.###...#.....#..#....#..##.#...#............#..##...##....##.....#........#.#...#..........#..#..#....#....#.#.#..........#.
##.....#.#.#.....#..............#.#....#............#.#.#..#..........#..#..#.#.##.#....#..###....#.#....#..##...#...#.#....##.##.#..#..#...####....#......##..#......#......#......#.................#...###.........#................#..#.#.#..##....#.#.###..#...#.#..#............#....#.........#...###.##..#..##...#..........#.#...###.#..#.........#.#..#..#...#.........##..##....#....#..##.#...##.#.#.##.#.#....#.......#..#..........#......##.#..###.##..........#...##.........#...#.........#..##.#..##.#....#...#.....##.#.#..........#.#.....#.#.#...#.#.##....#...#........#....##.....##...##.#......#.#......#.#.#...##.#.................##....##.##......#..#..#..#....##..#........##..........#...#.#.....#.##.###......##......##.#.#..##........#.......#...##....###...#.#..#...........#...#.............#.....##..#....#.#.............#.#.#...#....#.....#........#..#.#....#.#.#.......#..#...##.#.......##.....#..##....#....#.#......#...#.....#..##...#............#.#.#...#......#.#..#.......#...
#...#....#.#........#....#.#.#........#....#....#...#.#.#.............#..#....#..#..#..##.#...#.......#....##..#.##...##..........##.#......#..#.#.#.#......###.......#.#....#.........#........#..#....##..........##.#.........#.....#..........##..##.#..#.........##..#...#.#..#.......#..............##.##.....#........#..#......#.##.#......#....##.#.....#.#........##....#..##..........#..#.....#......#..#..........#...........##...##.##...##....##.......#......#....#.....###..#.....##.##.....##.#.###.#.#.....##..#...#........#.#..##...#...#..#........##.#..#...#.....#..#....#.#.....#..#...#...#.....#......##.#...##.#..#.#.......#....#...#.##.##.#....#........#.....#............#..........#...........##.#.#..#.....##.....###.##........#.....#......#...#.##.####.......#.....##.............#...###...#..............#.....#........#..#.#.#.#.#..#.#...#.#.#.......#..#.###.....#..#..#.#....###...#...#....#..#..##.#..#....#.#...##.#.............##..#...........#........#.#........##.......#..#
#.#.#.##.#.#........#...........#...#.##...#....#...#.#.#..#...#......##....###.........#..#.#......#.......##.#......##....##.#.....#..#.#.#.##.#.###.........#......####...##..#..#..#...........#......#.........#.##.......#...........#.##....#..#..#...#.....#..#..##.......##......##...................#.....#..............##...#.##.............#..#..##.#...#.....#..#....##........##..#.........#...#..#.#....#.......#.....#....###..#....####...#...#...#.....#............#..#...#.....#...#..##...#.#................##..##....#....#..#.....#.###...#....#.##....##.......#......#.....###.##..##.......##..#....#.##..##.#..#.#.#.....#....#...#.......#...........#......###.#.#......#.......#...#...#........##...#................#...#..##...#....#...#........#.#......##.##.##...##....#.#.#.........##.....#....##.........##...........#....#...#.#........#.#.#.......#.#..#.#.....#.....###.....###.#.#..###..#.....#..#..##....##....#.#.#..........##....#...........#.#.#.....#......#.##.#.....#.##
..#......#.......#.......#...#..#..............##..#..#.#..#..........##..#.#.#.##.##..#....#.......#........#.......#.........#..#..#...###.##..........#.#..##........##...##..#..#........#..........##..........#..........#...........#.....###..#..#.#.#..#..#..#.......#.#..#......#.......#..#.......#...#...#..........#...#....####.#..#..#....#.........#........#....##...#....#....#..............#.##.#..#.......#..#........##.###...#.........###......#......#....#....#..#..#.......#.......##.....#...#..#..##..#..#..#.#.........##...#......##...#......##....##.....#.##......#.........##..#..#............##.##..##.#....#.......#....#...#.#.....#....#..#..##..........#.........#..........##................#.#......#.....#####.#.......#.#..........#...##.....##..#.#...#....##.......#..........#....##....##......##..#..###......##.#...#......#...#.#...#.......#..#..##.....#..#...###....#.#####...#...#.....##.....#...#.#...#......#.....#..#.#...#..........##....#..#.#......#.#..#.....#.##
....#.#....#.....#..#......#.#......#..#...........##.................##.###.#..#...#..##.##.##...#........#.###.##.........##.##.##.#...#.....#...#.#.....###..........##....#........#...........#....#.#.........#..........###........#.#.....#...#.....##..#...#..#..#...#...#...#....#.........#...#.....#....##...#...#........#....##.#....#.....#.#.#..##.....#........#.#...#.........#..#..#....#...#.##.#.##.......#.....##....#..###...#...........#.##..........#...##....####...........#...#..#..#.###......#..##..#..##.#............#...#.......#...#.#....#..#............#....#.#....#.#...#.##..#..#.##.....#.#.#...#..#......#.....#....#...#..#..#.#.......#..#.......###.#.#......##......#...............##.#..#.#.....##......#.......#....#.#......#........##..####..####.##.....#.......#.....#...#.#....#........#....#.#....##......##...#....##..........#.#....#..#.#...#.##...#.....#.##...#.#..#.........##....#..#...#.........#....#.#..........#...#..........##.#.#..##.#....#....#.......#.##
.##.#..###.......#...........#..#..........#...##..##..##..#...#......##..#.#......##......#.#....#.#......#.#.#..#...#.....#......#.#...#.##....#...#.....#..##......##.....##..#..#..#.....#...........###........##..........##.....#..#......#.#.....#.#....#..#...#......#...........##.........#.....#...#.....................##..#..........#...##.#.....#.....#....##...#...#.........#.#..#.#...#......#....#........#..#..#...#.##.##.#.##...###...#.#..#..........#.........#.#......#.###.##..#.....#.......#.....##..#...#.#.#....#.#.....#.......#.#...#.#..#.##....#........#......##..........#.....#..#........#...#...##.#..#..............#.....#..##.#....#......#......##..#........#......##....#..........#..#.###.............####..........#.#..##..#.....#.#.....#.#.#..#..##.........#.#.#.....#...#.....#.....##..#...##.#.....#......##...#....##..#.#.#.#.............#.....#....#..#..#..#.....#.#.#.....#..#.....#......#...###..........#.....#..#.#...............#.#............#.#.##.#.......##
##....#.............#....#.#.............#.##..##.....###................#.#..#.#......#....###.....#........###.#...#......#...#..#.#..#...#..#...#.......#.##........#.#...##..#..#..#...........#..#.##..#........#.#.......#.#.....#...####...##...#...##...#.....#..##...#.#..#.................#.......###....#...........#...#..#.##.#....#........#..#..#...........##..#.#...#....#....##........##...#....#.##...#...#......#..#....###..##....###...##.#....#.....#.....#......#..#...#...#.##.....#..#.##..#.#......#..##..#.##..........#............#.....#.......#..#........#.....#.#............#............#....#.....##....#...#...................#.............#..#....#...#.#......#......##...##..#.#......##...........#.......##.##....#........##..........##.#.#....#.###..............#.......#...###....#....##..#...##..#...##.......#...#...##....#.............#..#..#.#..##.#........#.#...#.###.............#...#.#...#....#.......#.#...............##...........#.#....#..#....#.#.##.......#.#.
###.#...##...............#.#.#..#.#......#.##..##...#......#...#.......#..##..#.....#.....#.###.......#..#..##....#...##.......#..##.#........#....##......#.#.#........##...#......#..#.....#............#.#........###.........#...........##...##..#.....#.......#..#..........##..#...#.......#........#.#......##.......#......#.#...##..#..#.#.......#....#......#.........##........#...#.#..#.#...##.#.#......#....#.....#.#...........##.......##....#.#..#...#......#....#....###..##..#....###..#...#...#...#.#.....#...##.##..##....#.......#.#.....#.#...#...#..##.#..#........##......#....##...#..##..#....##.......#........#..#.#.#.....#....#...#.#..##.#....#..#..##.#.....#....#.............#.....#....#...........###......#.....#.#.#.#.......#.#..#............###.#.##.###....#.............#.........##.....#.....#..#....#.......#.........#.#.#.#......#...#.#......#....#...#.#..#....#...##.....###.#....###..##....#..#..#....#.#...#............#..##...#...........##.#..#.........#.#.#........#.#.
#.#......#.......#..#....#.#.#..#.....#.....#...#...#......#...#......#......##.#..##...#.#####.......#..#..#....#....#.....##.....#.#..##.##..#....#....#.#####........##...#...#..#........#..#..#....####..........#..........#........#.#.#..#.......#.#...........#.#......#.#.......##..............#....#....##...#......#....#.....#.......##...#.#..#..##.#...#....##........#........##..#......##...#..#.#.##.......#.##..#.....#........#...#.##..##...#.....................###..................##...#...#.#..#..##..##..#..#.......#..#..........###...#...#..##.#..#......#..#....#......#...#...##..#..#.#...#...##..#.....#....#.......#....##..........#....#.....##..........................#....#.....#.....###...#........#.....#.....#..##.....#..##..#...#...###..#....###.#......##....#.#...#...#...###.............#......#....#..........#.#...##.#.......#...........#....##......#.......##...#.#...#...#.#.....#..#......#...###...##..............#................##.......#........#..#.#.........
.##.#..#.#.......#..#....#.#.#........#..#.....##..#...##..#..........##..#####.##.#.......##.......#....#..##....#..###........#....#..#.#.#............#..#.#..........#....#..#..#..#.....#.....#....#####........#.#.........#.....#..###.#..#.......#...#..#..##.##......#.#..#.....................##..#.#.....#...#...#..#....#.#.##...#.....#...#..#.#..##.#........##...#.................##......#.#...##.#.##.............#.....##.###........#.....##.##...............#....###..#.....##.#.#........#..#....#.....##..#...#..........#..##.#.......##........#..#..#..#........##.............#.....#......#..#..#..#...##.....#..#..............#........#.............#.......#.#...#......##.....#....##..#.........##.#.#...............####....#...#.#......#...#...###..#.##.##.##......###.........#...#.........#.....##..#...#...#...##.......#.......##.#..#........#....#....#..##.##......#..#.##...#.####....###..#..#..#..#..##...##...........#..........#..##................#..#.#........##.#.......##
#.#.....##.#.....#.......#...#..#.#.#....#.....#.......#..............##.#####.........#....###..........#.#..##.#...###.......##.........#.#................##.........#...........#........#..#.....#.#.#...........##.......###.....#..##..#..#.#..#.....#.........#....................#.............###..##.#..............#....###..###.#..#..#...####.....#.....#....#...##....#.........##.##......#.#.#.##.#..#...#...#.##..##..#..#..###.......#.....#...................#.....###..#....#.###...#...#.#..#...............#.##..##....#.#...#..........#......#.#...#.#.........#..#......#.....#..#.#.....#..#.##..#..#...##..#.....#.....................#..#......#..#..##.#.....##...#......##..........##..#.........#..#.##.....##......#..###..#......#......#...#....##..#.##..#..#.##.....#...#...#.........##..........#...#......##..#.#...........#.#..##...#..#.....#....#..#.##.#.#...#.........#.....###.##...#....#..#..#..#...#....#.....#...............##...#...........#....#.#.........#....#.....#..#
....#.###........#..#.............#....#.#.#..........##.......#......#.....#.#..#.#.......#..#...#......#..#..#.#...###....##..........##..#....#..........#..#......##.....##..#.....#.....#..#.....#..####.......#..........##......#..###....#..........#...#.....#..#........................#......#...###.........................####.#..#.##...#.#..#..##.#.........#.......#.....#...#.#..#.....#..#...#..#.#........#..#..#.....#.......#......#....#...#.........#....##.........##....#.#.#...#..#..#...#.#.#..#..##..##.##..##......#...#.#.#......#....#.#..........#........##....#......###.#....#.......##..#..#.#.#...#..#..#.#.#.....#....#...#....##......#........#....#.#.#...............##....#..........##.#..##......#........#...#.........#...#..#...#.#...##.##.#....##........#.....#.#.....#...###...##.....#.......#.#....#.......#..#.....#.#...#......#.#............##.##.#....#..##.#....#.##..#....#..##.#.........#...#........#.#.......#...##..##...........#...#..#..#....#.#....#.....#.##
#.#.#.###........#..#....#........#...#....##......##......#...#.......#.###.#..#..##.....#...#...#.#......##.#...#..#.#.......##.#..#..##.##....#..##......#.##.........#...#......#..#........#.....#.#..#........###........#.#.....#......#....#..##...#.......#...#.##...#.......#....#.............#.#........##.......#.......#.#.#..#......##....##..#...#..............##.........#...##...#.#...##.#...##.#.##.........#.#..#.....#.#....##......#..#.#.##.........##....#....####.#.......##.#.....#..#.#...#.#......#.....#..#.#......#.....#.......##....#.#.##.##.#..#......#..#......#........#.#.##...........#..##..##...#......#..................#..#..............#.#....###...........#......#....#..#............####......#.....#.#..##..#.........##......#.#.......#...##..#..#...###...#.#.......#...##....#.....#..............#.#.......#...#...#.....##...#................##.##......#....##.....#.##.#...#....#.....#.........##....##.#.............#...#...........#.......##........#..#.......#.##
#................#..#......#........#.##.#..#...#...#......#.............#####...#.#.......#.##.......#.....####.#....##...................#.#.#.#.#.#...#.#.##.......####.......#..#...........#.......##..#.......####...............#...#.##..#.#...#....#...#..##.##.##...#.#.#........#......#..#...##....#.#..............#...#.#.......#...........#..#..##..........##..##...#.....#...###..#.....#.........#......#...#.##...#....#..##.#..#...#.##......##.........##...#.......#..##..#..#.#.#......#.....#.#....#.......#.##.#......#....##..........#....#...#..##....##.....#..#....#......###.###..#.....#..#..#..#....#.....#..#...#.....#...........#.#..#....#..#..#..#.....##...#......#.......#.......#.#......#.#.##.......#.........#.##..#...................#.#..#..#.#.#.#...##....#........#.#...#.....#.................#..#...#.#......#..#.#.#.####.......#........#....#...##.#.#....#..###......###.##..#.......#...#....##..........#.#.#.#.........##..#...........##....#....#....#.#.##.........##
#.#.................#......#..........#.....#..#...#..#.#......#.......#.#..#...#.........##.#........#.....#.##.#...###........#.#..#......###..#.#.#...#.#..#.......#.#...........#..#.....#.....#..#.#..#........#..........#.#.....#..........#....#...###.....##....##........#......##......#..#...#....#.....##.......#......#.##.#.##.#..#..#...####.#..................###.............#...#.#....#.#....#............#.#....#..#.##.......#...#.#.......................##....#.##..#..#.##.#.#........#..#.......#.......#.##..............#.#.........#...#.#..#.##.#..#.........#....###.........##.....#..#.#.......##.##..#.....#.#.............#..#..#.........#.....##.#....#...................##...#............#.#.#..#.....#......#..#.##..#....#........#...#.#...##.#.#..##.##..#...##......#.#.....#...#.....#.....#...#...##.##....#.......#.#............................#.#..###...#.#..#..#..#...########..###..#.....##.#..##...#.#...#....#.#.........##...............#...##....#......#.#............
##..#.#..#.#...............#....#.#...#.....#..##..#...#...#..........##..#.#....#........#####...#......#.#.##..#...###....##.#...#.#...#....#..#..#......#####........#........#..#........#.....#......#.#...................#......#...####....#..##.#.........##.#...#.....#..#..#...#..........#...........#..#....#...#..#...##...##.#......#....#..#....##.....#........##.............#....#.....##.#.#.##............#.#.#.#...#..#....#..#....###...##.##.........#.............#.....#...##.......#..#...#......#...#...#.##.##.....#.#..##.#.#...#.#.....#....#.##....##........#....##..........##.#...#.....#..#..###.....##.#......#..........#...#.##....#..........#..#.....#..#...............##...##..#........##...#.#.....##.....##..#....#.........##......#.#.#.#...##...####.##.....#...#.#...#.............#......#..#...##.#............##.......###........#.#......#....##...###.#.......##.#...##..#..#.......#........#...#...###....#...#...........##..##...........#...##.##.#....#....#.......#.##
.#.....###.................#.#..#.#....#...##..#...#..#.....................##..##.#...##...#.........#..#.##.#.......##....##.##.#.......###..#.#..##.......###.......###...#...#.....#.....#..#..#..#.##..#.......#.##........##........##..#....#.......#.#..#..#.....#........#...#...........#......##..#......#....#..........##....###......#......##.......#...#.....#..#....##....#...###..#............#...................#...#.#...###.#....##....#.#.##...#......#..........#.#..#..#..##........##.#.#...#...........#...#.#......#.....#...#......#......#.##........#.......#.....###....#.#..#..#...#.....#..#..#.#.#...##.#..#.#.......#..............#.#....#..#.....#.....##.#.#......##.....##................#...#.#......#......###..##..#.................#...#..#.####.##....#....#.....#...#.#.......##....##....##......#...#..###.........#.....###..###.#.....#....#..#.##.#...#.#........#.#....####.#...#.#...#....#..#.......#.#....#...........#...#...##................#.##.#......#.##.........#.
.##.#...#..#........#.............#...##.#.........##.#.#..#.............#.##.............#.#.#.....#.#..#.###.#.#....##.....#.#...#.#.......#.#.#...#...#...###......#.#....#...............#..........##..#.........#........#.#........#.#.#....#...#....#...#...#.##.#....#...#...#....#.........#....##.###.....#..........#...#.#...#.#...........#.#..#..#......#....#...#....#.........#...#.......#.....#.................#..#.....#..#.#......###...#........#.....##....#.....#....#....#.#.##..#..##.#.#.#......#..##.....##..##.........##...#......#......#.##.#.....##.....#..#....###....#...##..#...#..#.#...#..#.......##........#.....#....##..#....##............#..#....###.................#....##..........###..#........##.....#######.......#.#..#...#...#.#...#...##...#..#.##...#.#.....#............##...##....##......#..#...##.......##.....#.##.#...#...#.#.........#.#....#.#...#......#.#...#..#...#..##...##.#.....#.......##....##..............#....##..........#..#.#...#.#........##...........
.#....####.......#..#........#......#....#..#.........##...#..............#.#.#.#..##.....#.......#...#..#.#.#.#.#...##.....##.#..##.#..#.#..#.#...#.....#.#.##........###....#..#.....#.....#..#..#..#.##.#...........#.......##..........##....#.#..#............##.##..#...#...#...#...##......#..#...##..#...........#......#...#.#....##......#.....###.#.....#...#.....#....#..#..........##.#.............##.#......#...#.##...#..#.##..##........###..#....#..........#....#....###......#..#.#....#..##...#.#.#....#..#................#....#..#.#.....###...#.#.##.##....##.....................#..#...##..#..#.....#..#.#.##.....#......#..............#..#.........#..#..##.#....###...#..............#.........#.....####..........##......#.#.#...#.............#.....#...#...##..#.##..#.....##.......#.........#.....##....#...#....#.#...##.......#..#.......##..#..#.#.#.#.......#..#...#.#......#..##.#....###.###..###..#........#.......##....#............#..#....##...........#.#.....#.#....#....#...........
......####..........#....#.#.#..#.#...##...##..#...##.###..#.............#####..##.##..#...##.#...#.#.#.....#..#..#..###....##..#.##....##..#..#.#..##......#...........##....#..#..#..#................#.#.#.......#............#...........#....##..##.....#......#.##.#....#.#.##..#..............#...#.#.....#..##...#......#...#.......#......#....####....#..#.......................#....##..#......#.#......#..........#...#.##....#....#..##...#..#...#..#....#.....#....#.....#.#..##..#..#.#........#.#...#......#..........#.#......#.#..##.........#.....#.#.##.#..#..#......#..#................#.......................#...#.#....#.#..........#...#.##..#.#.......#...#.#....#...#.........#......#.........#.......#...........#.......#..###...#...#....##..#...#.#..##....##...##...#...#.........#.........#.#.........##..#....#......##......#....#.#.##...##..#.....#....#....#..#.#.#.#........##.....##.#.....###.....#...#.#.............#..#...#.....#..###..##..........##...##.........#.#....#........#
.##...##...#.....#..#....#...#..#.#....#.#.#........#..#.......#.......#.#.##....#.....##..#......#.#.#.....#..#.##..........#..#.#..#...#.#..##...#........##........#..#..........#........#.....#......##........#.#........#..........#####..##...##.#.#.#..#..##.#.......#.#.........#.......#......#.#..#......................###.##........#....###..#...#.#.........#..................##.##.#...#....#..#...##...........#.....#.##.##...##....###...##..#...#...........#....##.#..#.....#...#..#.......#.#.........#....#.............#..##.#.#.......#.....#.##..#.............##.....#.....#...#...#...#....##..#..#........#.#....#.#..............#....##......#......#.#....##....#......##......#...#...#.......##...####......#.....#..##.#...#.....#...#..#.......####.###..#...#.##.........#...#.....#.....#....#....##..#...#........#......##.#...#.#.#..###...#.#......#....#..#..##......#..###.....###.###........#.#....................#...#.......#..##....#..........#..#....#..#......#..#.#.........
###.#.###..#.....#..#......#....#.#.#.......#...#..#..#.#..#..........##...#.#..##.#.........##...#......#...###.##...#......#.......#..#.#.#....#..##...#..#...........##....#........#........#..#....#.##.........#.#........##.....#...#..#..##....#....##..#......#.##.....#..#.......#......#..#....#....#....#........#...................#..#....###.#.....#...#.....#...##..#..........#..#......#...........#..........##..##..#.##.#.##......#.##..##..#....#..........#.....##...##.....##.##..#...#.#..#..#.#..#..#....#.#....#......#...#.#.#...#.#.......#.#..##...........#.#............#.......#...#..#.##.....###.##..#.......#.#..........##....#.....#....#..#...#...................#......#........#.#........#..##......##.....###..##...#............#...#....##..###..#.###..#...##....#.#.......#.....#....#...............##..#........#....#.....#......#..........#....#..#.#........#..#..#....#..##......#.....#..##.....#....#.....#.#............###..#.................#..#......#....#.#.......#.
##..#..#...#.....#...........#......#..#.#.........#..#.#......#......##...##.#.#...#..##....#......#....#..#..#......#........#........#..###.....###......#.##.......###...#...#...........#..#..#......#.#.......##.#.........#..........#.#..#...........#..#.....##......#...##..#...........#.......##........#........#.......###...##....#.........#.#..##.#........##..#.#...#........#.#..#.#...##........#.#....#.......#..#............#....###....##.#....#..........##....###.........####...#.......#.#...#.....##..##..#..##......#..##...............#.#.#........##.......#.....#.#....##..##......#.....#......##..#.....#..................#..#.##..#.........#..##............#......##.......................#.#.#.##......#.....#.#..#...#....#............#...#..#..##......#........#...#.#.......#....##....#.....#..#....#......##...............####.###.......#....#..#....###.#.#.......#.##....#.#.#......#..#......#....#.....#....#..#...#.....#..##...##..........##...#..#..#....#.#..#.#........#
..#......................#.#....#........#.##......##..##.............#..#..#.......#.......#.....#...#....#.###.....#......##.......#..#..####....#.#...#.##..........###.............#.....#..#..#....#...#........#..........#............#....##.......###.....#...#.##...#............#......#..........#...#...........#..#...##...#.........#.....#...#..##.....#.....#...##..##....#.......##.#................#...#.....#....#....#..#..#......##....#...#....#.....#....##.....#...#......###.#..#..#..#.##..#....#..#....#.....##......#...#...#...#..##........#..#...........#.##....##......#...##..#.....#.##.......#...............#...........#..#..#.#..........#...#......#.#.#.#...................#..#........###.#.#...............#.............#...#..........#..#..##..###.#.##...###...#...#...............##............#..#...##........#.#.#....###.###............#..#....#####.........###.....#.#......#....##.#..##.....#...#.#...#....#.#.....#.......##.............#.#..##.#......#.#........#.#.
..#...#....#.....#.......#........#...##.#.....#...........#...#......##.##.##...#..#.....#.##....#...#....####...#..###........#.#.....###.###..#...#...#.###.#.......#.#...##.....#..#.....#.....#..#..#..........#..................#.........#.#...#.#..#...#...#....#........#...#...........#..#...###.#..................#........#.##.#..#..#...####....##...........#..#..........#...#...##......#.#.#....#.............##...........#.#..#.....##..#.#............#..........#..#.....#.#.#.##..#..##...###.#....#......##.##.#.#......#..#..#.#...................#.#..##.......##....##.....#...#....#........#..#..###.#....#......#.#.....#.....#..#..#.#..#..........##.#....##...................#....#....#.....#....#.#......##.....######..........#..##........#.###...##.....#...#....#......#.#.#.............##.....#......##.#.....#.......#.#.....#....#.....#...#....#..#....#.#...#.......#........##..#.....#...#....#......#....#.....#.#...#..........#..#............#.#.##....#....#...#..........##
.#..#...##.......#..#......#....#.....#....##..##..#..#.#..#...#......##..#.#....#..#..#..###....................#.............##.#......###.#.....#.....#..#..#......#.##.......#..#..#.....#..#.....#.#.#..........#.#........##........###.#...##...#.#..........#....#......#.................#..#...##..###.....#..............#.....###.#..#..#...###.....##.#...#....##..##...##............##......#.....##............#.#.#.#...#.#........#...#.##...#..#....#......#...........#..##..#.##...#.....##.#.###.#.#..#...#..##..#..##.........#............#.....#.#...#....#................#....###...#..#..#........#......#....#.#..#...#..........#......#.#..........#...#.#....###..........##......#....#..#........#...##.#..............###....#....#.................###..###.#.#.#........#...#...#.....#...#.#...##....##..#...##.##..#........##.#.#.....##.##....#........#..#....###.#...#..#...#.#...#..#####...##.....#..##.#.........#...##.#.#...........#...#............#.........#......#.#..#.....#.#.
###.#.#.##..........#....#.#.#......#.#........#...##......#...#.........#..#....#..#..##...##....#...#..#.##..#......##....##..#.#..#....###.##....##.....##.#........#.....##..#..#.....................##.........#..........#......#..##.##...##...#.#..#...#...#.##..#........#.............................#.......#..........##....#........##.....#.....##..........#...#.#...#........###....#..........##.#.#....#...#......#.......####.#....#.##..#.#..#...#.....#....#.....#....##....#..........##.......#.......#....#.....#.....#.......#........##........#........#.....#........#.....###.#.#..#.....#........#...#......#............#.....#....#...#.#....#..#...#.#.....##.#.#......##.....##.........#........#....#.....#.........###...#......#..##..#...#.#.####.##.#.......##....#....#.#.#.........#.#...#......#..#.......#..#.#......#........#..#..##...#........#.....#..##.....#..#...###....###...#...##..#........#..#.....#....##...............#...##...........#.#.##.........#.#.##.......#.##
#.....#.#...........#....#...#.........#.#.#....#..##...#..#...#......##.##..#.........#...#.##.....#....#..####............#.....##....####.#.#.#.###...#.#.#........###.......................#..#..#.##.#........#..........###.....#..##.#....#...##.#...#..#..##.##.##........#..#...........#..........#.#.#..#...............##....#...#..#.......#.#.#..#......#....#...#................#..#........#....#.#..........#.#...##..#.#..#.##.#......#.......................##....#.##.......#....#.....##.#.................##.##...#......#...#.......#.##......#..#.#..#...#.....#..#......#.........##.....#..#..#.....#.......##....................#..#..#................#......#.#.#........#......#....##....#.....##....###......#.....#.##..#...#...#....#.........#.###...#...####...#....#..........#...#...#.#...##....##......#..#...#........#......#.#.##..##.#.#...#.......#..#.....#.#.#..#..#.......#####....##...##....#...........#....##.#...#.....#..##........................#.#........#...........#
###.#.####.#.....#..#......#.#..#.#.#.##...##..#....#......#..........#..###.##.##.#....#...#.........#..#.....#.#...###....#........#..#...#.##...##......#..##.......#.........#..#...........#..#..#..#..#.......#.#........#.......#...####..###..##.#...#.....##.##.##.......##..#...##......#......#.....#....##...#......#...#.##...##.#....##.....##....#...........#...##...##....#.....#.#..#...##.#.#.#.....#...#.....##...#.....#.####......#.##..#...##.........##...##......##.......##...#..#.....#..#..#.#......#..#..#..##.......#...#...#......#......#.##.#..#..##.............###......#..##..#........#......##..#..#.....#...#..........##.....#.##.........#...........##...........#.....##...#...#.#.....#.##.#.##......#......##...#...#...#.#..##..........##...##.#.#.###.##.........#...#.#...#...###.........#...#......#....##.............#.###..###.#.#........#.......#...#...#..#....##...##.#.##.....#..#..#..#..#..##...#.#....#.#...#........###...#.............#.#..##......#.#....#.......##
##..#....................#...#..#...#.##....#..#....#.##...#...#.......#.....##.#..#....#.#.........#......#..........##.....#.#..#......#..#........#......##...........#...##..#..#.................#.###.........##.#........##.....#..##..#.......##...###........##.##.....#..........#.............#...#.#....##.......#......####.####.#..#.##....###.#.........#.....#..###..##....#.......##.#....#.#...##..............#...#...........#.#.......#..##.......#.....##...##....#..#........##.##..........#.#.#....#..#...##.#...#.......#..#............#...#.#.##.......#......#..#.....#.....###...#.....#..#.#...#..#....#...#.#..#...#.....#....#......#.........#........#.....#............#.....#....#.....#.....#.##..#........#.........##....#...#.#..#...#.....#..##...###.##.....#....##.....#.#..........##.........##.............#...................#...#..#.....#....#..#.##.......#.#.....#.......######...#.....#....#......#....#....#..#.#.#.....#..##...............#....##..#.#......#.##.#.......#.
.##...##............#....#......#...#.##...##..##..#.......#...#......#.......#.....#.......###..........#.#####..#....#....##..........###.#.#..#.#.#...#..##.#......#.#....#...............#..#.....#...#.........##.........#..........#......##...##.#.###......#....##.....#..........#.........#...##......#..#...............###..##.#.#..#.#....#.##.#..#...........##...#...##.........#..##......#.#....#.#..#.......#...#..#.....#....#.##....#.#....#..#.........#....##.....##........####........#...##..............##....##...............#...#..##.....#.##.#..#..##.......#......#.....#.#..#...........#......###.#...##.#..#.#................#..#..#.........#.....#....#...#................#...##....#.....#.....#.......##......#...#...#....#.#..##..#..........#.#..#.##.................#.......#..........#....#...#....#..#..#.#......##.#...#.##....#..#.#.#.#....#.....#...#...#....#..#.##...##..#.#...##....#.#..##....##...#.#...##................#..##................#....#....#.#..#.#.....#.#.
#...#.##.........#..#....#...#....#.#..........##..##......#..........##.#...##..#.#....#.#.##....#...#..#.##.........#.....#..#.....#..##..#....#.###...#..#.#..........#...##..#..#..#...........#..#..##.#....................#........#..#........#....#.#..#..#..##..#...#.#.....#...##......#..#....##.##.....#........#......####..###....#.#....##.#....##.#...#....#....#.........#....#...#.#....#.....#....##...#...#..##........#.#..#.#.....###.......#...#......#...##....##....#....##.#....#.....#.#.#...#.....#...#.....##.....#.#.......#.....#.#...#.#.....#....#........#............##...#......#....##.......#.....#..#..#.#.#.....#....##....#.............#.....#....###...#......##......#.......#.#......###.#........#......#...#.#...#...#....#...#.......##.#.####...###......#.....#.#.......#...##....##....##.........##....#......##.#...#....#..##...#.#......#....#..#...#.#....#..####...#...#.#...#.#..#.....##.#.......###...#....#.#.........#................#...##.##......#.#....#........#
.#..#....#..........#....#......#.#....#....#...#......#...#...#.......#.#..#.#.#.......#..#..#.............###......#.#....#.....#..#...##..#...........#.####.......#..#....#........#.....#.............#..........##.......#.#.....#....###..#.#...#...#.#..#..#..##.##...#.......#....#.............#...#.#....#....#...#..#...###..................#.#....#..#...#....#.....#..#.....#...#...#......#.......#...#........#......#..#.....##..........#..###.##...#......#...#.....#..#.#.....#..###.....##...###.........#....#..#.#.#......#...........#..##........#.#..#...........##....#.#....#.....#.#...#....#...#..###.#....#.#..#...#...........#.....#.#..#....#..#...#......#.....#.......#.....##....#..........#..#....#.....##.....##...#....#............#.......##........####..#....#.......#.#.#.......#.....##.....#..#....#.#...#........#..#...#..###...#...#.#......#....#..#.#.#.#........#.......#.##....#.#..#..#.....#..##...#.#...##...#.#.....#...#...##...............#..##.#.................#...
.##.#....#.#.....#..#....#......#..........#........#...#..............#...#..#..#.#......##..#...#.#.#..#...#.#.#...##.....##.#..##.....#.#.#...#..##...#..###.......###....#.........#..............#..##.........#..........###.....#..##..#..#.....#.#..#.......#.....#.....#.....#....#......#..#....##..#.....##.......#.......###.###..#....##...###.....#...........##.............#....##........##.#.#.##....#...#.......#..#.....#...##..#...####......#....#..........##....##...##..#.###.........#...#...#.#..#..##.....#..###.........#..#.#..................##.#...........#.....#.#....#....#..#......#.##..#..........#..#............#....##.....#....#....#.............#.....#......#............#....#.....###...##.............#..##.#..#....#.#......#.....#......#....#..#..#......#.......#.....#.....#..........#..#...##..#...##.............#.#..#.....#.#...........#..#.##....#.#..#..##.#.....###.#...#.#...#.#..##.#.......##.......#.#.#.........#...#...........#.....#...........#.#..#........#
..#...#..#.#.....#................#.#..#...........#..#........#......##..#..##..#.#....#..###....#........#.#.#.##..##........##..#.#..##....#.....#....#.###.........##.....#..#..#..#........#.....#.#...#........##........##......#...##.....##..##.#.#.#........#...........#........#..................#......#..........#...#.#..##......#..#...#....#.........#........#.....#....#....##.##.....#....#....#.##.......#..#..#...#.........##...##.#..#.#.#...........#...##....#.##.#.....#.#...............#...#.....##.....#...#.....#....##.#.#...#.#.........##..#.#..#......#.##.....##......#..#..##.....#.##..#..#...#...##.#..#...#...........#..#.##.##.#....#.....##.#....#...#.#......#......#.....#..#.......#.##.####.....##.......#...#...#...#..............#.###..###...#.#..##.........#.#...#...#...##.....#....#...#....#..#...#........#.#...#....#..##.#.#................#..##.................#..###...#....##...........#...###......#...#.........##..##..........#..#.#..........#...##.#.....#..#
........#........#.........#.#......#..#.#......#.......#......#.........###.##..#.##...#..#..........#........#.#....##.....#.##.##....#.#......#..#....#..#.#.......###....#...#..#..#.....#..........#.##........#..................#....#.#..#.#.....#.##...#...............#..#......##......#..#...##..#.#.#.......#...#......#..#.####.#..#.##....#......##.....#.....#...#...#..........##..#.#........#.#....##.........##..#.....##...##.#....#.#...###......#.....#.....#.....#....#....#.#.#...#.....#...#...#..#...#..#.....#.#....#.#.......#......##...#.#....#..#.........#.#............##..###.....#..#.##..#..#....#...#....#.#.......#.....#..#..#..#......#.....#...........................##.................#..................####.##...#.....#......#...#.#.###..#..#...#....#...#.#.............#.....#...##.....#..#...##..#..###.......#.#.#.#.#..#..#......#.#....#.....#.#...#.#........##......#..#.....##..#..#..##..........##...##.#...#........###..##.............#.##..#.#......#.#............
###...##...#.....#..#....#...#......#.#.........#..##..##..#..........##..#.##..........#.####....#.#....#.#..##.##.............#.#.....##.#..##...###...#.#.#.#......##......#..#.....#.....#.....#..#.#..#........#..#.......###.....#...#.#.....#..##...#.#......#.##.#......#.....#...##......#..#...##....#.....#...#...#.......#...#.#.......#.....#.#....##...............#...##.........##..#.....#....#..#........#.....##...#..#......##.##....#.#...##..#...#.....#.....#.....#.#.##....##.##.........#.......#..#..##...#.#.........#....##.#.....#..#....#.#....#.....##........#....#.#........###..#..#...........#.#......#.#....#.#.....#........#..#....#..........#..#.....#....#.............#........#........##..##.......#.......##.##...##.....#..#.......#...#.#...#.#.##.........#.....#.#...#.......###....#.....#......##.##...##......##.#...#.#........#................#....#..#.#..#..####......#####..........#..##....##....#.....#.#.#.#.....#...#...#............#...#..#.......#...##.#........#
###.#.##.#.................#.#..#.....#..#.##..##..##.###..#...#.........##.#....#......#....#....#...#....#####.#...##.....##....##.#....#.#.#..#.#.....#.##.#.......#.#.....#....................#..#..#.#........#............#.....#...#.#...#.#..#....#.#........##......#.......#..................##...##.....#...#............##.#..#...........#.##.#...#.#...#.....#...##..##............#..#...##.#........#....#...#...#.....#.#.......##.........###.##...#.....#....#.......##.....#.####.#..#...#.#..#....#..#...#..#...#..#.....#.#...#.#.#...#.#.....#.#.##.#...........................#...###..#..#..#.....#..#...##..#.....#.#.......#....##..........#..........#.......###.#.#.......#.....##...##..#.#..........##..............#.#.##....#........##..#...#...#.##..#.#..##.#......#.........#.........##.....#.....#..#....#..#..#.#......##.....#..#.#..##.....#......#..#.#....#...#.#.....#............##..##...##....##.#..##...###...#....#.#..........#...#..........##...##..#.#......#..#.......#...
..#.#..#...#........#....#......#...#....#..#......##..#...#...#...........###..#..#....#.###.#.......#....#...#..#..#.............#....#.#.###..#.#.......#####.............#...#.....#.....#........#.##.#........#.##.......#.......#...#..#........#....#......#..#.......#.#..#..#..............#...#.#.#.#....##...#...#......#.##..##..#..#..#...##.#.....#...........#...##................#......#....#.#.............#.###.##.....#...##......##.#...#..##.........#....#.....##...##..#.#..###..#...........#....#..##...#.##.#........#..##.#.......#.#........#..#.#.........#.##....#..........#.#.##..#.....#.....###..#..#.........#..........#...#.##..#.#.......#...#.#.................##......#....#..#.#.....####..#........#.....##.#.#....#...#.....#........#.##.....#..#####..#...###.....#...#.......#......#....##..#...#...#...........#....#.#.#.#......#.....#....#....##..#.##......#...#.#....##..#.#..#.#...#..........#....#......#...#..........#....##.............#..#..#......#......#.....#.#.
###.....##.#.....#..#....#...#....#........#...#......###..#.............####.#.#..#.......#.#....#...#..#...#.#.....#.........##........##.##...#...#.....#.##.......#..#....#.....#..#.....#.....#..#....#........#.#................#...##.#..........#.#.#..#........#......#..#......##...................#.#..##...............###.#.##....#.##...#..#.#...#.#...#.........##...#....#....#............#.#.##.#................##....##.###..#.....#.#....#..#...#.....#..........#....#...#.###..#..#..#..#...#.#.#.....#......##.##.......#..##...#.....#.......#....##....##.....#..#.....#.......#.###..#.......##.....###........#....#.#.....#....##..#..#.#..#..........##......##............#.....#........#........#.#.##.#............##.####.......#.#..##..#...#...#....#.#..#..##.##...........#.#.#...#...............##..#...##..#..#........##.#.#...##.#...#.#...#.#....#..#.#..#.#...#.#..#..####...#..##.....###.....#..............#....#....#..........###..............##...#..##......#............#.#.
##....####.#.............#.#.#..#.#.#.##.#.#...#.......##..#...#......#...##..#..#.#...#..#####.......#....##........#..........#.......#####.......##...#.#.##.......###....##..............#.....#..#..#..#.......#.#.........#......#..#..#...###...#....#......##.#..##.....#.....#...#.......#..#...#.#.##..#...#...#...#......#..#.###.....#......##.#.#..##.#............##...#..........#.....#...#..#.#..#.#.#....#.....###.##..#..#.#.....#.........#....#...#..........#.....##.#.#...#.#.###...#..##.#.##....#..#......##.##..#.......#..##...#...#.##....#.#.##.......#........#.......#..........#...........#..#...#......##.#..#..................#.....#...............#....###.#.#..............#.......#.......#.#..................#....#...#....#.#..##..#...#.#..##.....#.#.###..#...........#.#.....#...............##......##.#............##.....#.#..#.##....#.#.........#........#..........##....#.#.##.#..###..#..#.....#...#...##....#..#.#.#........##...#............#.#..#..#.#......#.##.#.....#...
##.....##..#.....#..#........#........##..............#...............#..#..#......#...##.....#...#.#.#..#.#.#.#.##....#...........#.#..#...###..#...#...#.#.#.#......##.#....#..............#..#.....#.#...#.......##..........#.........###.........#..#..........#..#.##.......##.......#.........#...##......#..##..........#...####..#......#.##....#.#.#..#............#....#...#.........#..##............#.....#.........###.....#.##.#..#......#...............................####.#.........##.....##....##...#..#..#....#.#..#........#..##.#.#......#....#.#..#.##.#..#......#.##....##.....#.#..#...........##..#..........#.........#..........##....#...#.#.......#..##......##..#.........#.....#..........#......#.#.#.#......##.....#.#####..##...#.#..#............###........#.#.#......#...#.#...#.........#....#....##......#.......##......##.#.....#.#...##...#........#....##....#....#..#...#........#.###..#....#..#..#..#..#.....##...##.#.#.#.....#...##..............#..#.#...#........#....#.....#.##
#...#..#.#.#.............#.#.#....#...##.#..#..#....#.#..................#.#.#.........#...#......#.#.#..#.#####.##..###.......#...#....#..#.###.#...#...#.#..##.......#...........................#..#.#.##.........##..........#..........#.#...##..##....#......##.....#.....#.#.......##......#..........#......##..........#......#...#..#..#..#....#...#..##..........##..##....#.........#..#..#...##...#.##........#.........##..#.......#.#..............#..........##.........##.#..#..#..####...#..##....##......#...#..#.....#.#.........##...#.....#.#...#.#.##....#..........................#..#..##..#..#............#....#....#...#.....#....##.....#..#......#..#..#........##.#.#.......#......#...##..#.........#....#.......#......#.#.#...##...#.#...#..........####.###.....##.##...###...#.....#..............#....#...#....#..#..#.#.......#.....#..#.#.#...#.#...#.......#..#..#..#.................#.###.....#....#....#..#.......#......#.#.#..........#.....#...............##....#........##.........##
##..#.##.#.......#.......#......#.#.#.#..#.....##..##..##.............##.#.#.....#.#........###...#.#.#..#..#.....#..###.....#....#.....#..##......#.......#####......####...##........#.....#..........#.#.........#...........#..........#.##..#....##.#...#.....#.....##.......##..#....................#..#..#..............#....###.##.#.#..#.#.........#.........#.....#..###............###....#...#......#..#.#....#.....#.#.#......#.###...#...##....##..##..............#......#...##.......###..#.....#.###.#.......##..##..#...#....#....#..#.....#..##...#.......#.....#.....#.......#.#..........#.##..#..#..#..#..#.#.....#..........................##.#.......#..#..##....................#.....#........#.......#.##....#.....#......#.........#.........#......#...####......###.#.#....##....#.........#...#.#.........##..#...##.....##.......##.#...#.####..#....#.#...........##.....#.#.......###.......#..#...###...#.#..##....#..........##.#...#........##...##...........#...#..##......#...#..#.....#...
.##.#....#.......#.........#........#..#.#..#..#...#...##..#...........#.#.##...##.....#....###.....#....#.#.....##..#.#....##.##.#..#...#...###.#..#....#.####.........#....##..#..#........#..#..#........#.......#..................#.........#.....#........#.....#.......#.#........................##..#...#...#.......#......###..##.............####.#.....#............#.#..#.....#...#....#.....#..#.#.......#...#...#.##......#.##.##...#....#..#..#.#.#.....................#.#........#.#.#...#..##....#..#....#..#.........#......#.#.....#.......###.....#..#.#.....##.....#.#.....###..........#..#.....#..#..#..#.#..#.....#....#.............#....#..##......#.....#..#.....##..........##.....#................####..###.....#.......##..##..##................#.#.#..#......##.#..##...........#.......#....##...##...............##..#.#.......#.....#.##.#.......#........#..#..#.#..##...#..#..##.#....#.#.......##..#.....#..#..#....#......#.....#.....#....#..............##.#..#....#........#........#..#
#.......##.................#.#....#........##......##.#.#..............#.#.#.....#.#......##.............#..#.##..#..#.......#.....#.#..###.#....#..##...#.####........#.#....#.....#..............#......###.........#........#.#...........#........#....#....#.....#..#......#.##..#....#......#..#...###...#.........#...#........##.#..#.#.....#....#.#.#..#..#............#.#..#.....#.......#......#....#....#..#.......#.##..##..#..#.#....#......#...#...##...#......#....#.....#....#..#.#.###...#..#....#.....#.....##..##.#..###....#.......#.#...#.#.#.....#..#.##.#...#.....#.##....#.#....#.#.........#....##..#...........#.#..#.#.......#.....#....##..#.........#..........#.............#.....##................###..#.#.....##.....#.#.##........#.#..##..#...#...##...#....#...#.#..............#.....#...###...#.....#...#...##.....#...........#.....#.##.....#.............#.#..##..#..........#.#...#.#####....##..#..#........##...#.#......#...#.....#..#....##..........##...##.#.........#.##.........#.
##..#.#..#.#.....#.........#....#.#...##.......##..#...#.......#......##.#####..#...#..##.....#.......#..#.##.##.....#......##..#.##....#.##.............#....##......#.##....#..#..#........#..#........#.#........#......................####...##..#..#.#.#.....#.....#......#.....#...#..............#.#..........................#...#.#.#.....#....#......##.#........##..##.............#.#...........#.#..#....#..........##.##..#..#.####.#....#.##....#..#.........##...##.....#...##..#...#.#......##....##.#....#..#....#....#.#.....................##...#.#.##.##.#..##.....#.#.....#......##..#.#..#..#....##.....#.#.#...##....#.#............#...#.##.##......#.............#............##.....#..........#.......##.##........#.....##.#.##...#.....#......#...#.#.#..#..##..###....#....#....#.........#...###...#.....#...#....#.#...###...........#...#.##.###.#.....#....#....#..#.###...#......###...##.#####........#....##.#..#....#.....#......#.....#....................#.#.##.........#.#.#..#.........
.##...#.##.......#...........#......#.##...##...#..##.#.#..#..........#....####.#......##..##.#...#.#.#..#.#.#.#.#..........#...#.#..#..##..####.#.###.....##............#..........#..#.....#.....#.....#............##.......##......#..#.#.#...##.....#......#...#.....#........#..#...##.........#....#..#.#.#..##.......#..#...#.##.##........##...#..#...........#........###...#....#....##.##.....##.#.#....#......#.......#.......#.............##....##.............#...#...........#.....##.#......##.#.#.#...#............##..#.....#....#..#.#...#..##.....#..#....#..#........#......#.....##..#.#........#.....#..###.##..##.#....#.#..............#..#..#.........#...#.#....#.#..................#....#..#.#......#...#..#.....#.......###..#..#....#....#............#...........#..#....#.#...#.#.#.#.........#...#.....##..#..........#.#.............#..##...#......#......#..#....##..#.........#......###.###........#.....#..#...#...#.....#..#...#.....#...##...#..........#..#.#..#..#........#..#.........
#.#...##...#........#....#.#....#.#...##.#..#..##.....#.#.................###...##.##...#.#.#.#...#.#....#..#................#.....#.......#...#.#.........#.###......##.........#..#........#........#.#.###........###.......#.#.....#......#..###...#....##.....##....##...........#...#.......#......#.#.###.#...#..........#....##...#...#..#..#...#.#..#..##...........#..###...#.............#......#.#.#....#..........#..#...#....##.......#...#.#....#..##...#.....##...#.....##.......#.###.....#..##...###.#.#.....#......#..###....#.....#.................#.#..##....##.............##.....#...#.#..#..#..#.#...#.......#...#.#....#.#...........#....##....#.......#............#.#...............##....#....#.....###..#.##.....##.....#...###...#........##......#.#..###.#.......#...#....#....#...#.....#...#.....#.....##.........#...#.#......#....#....#.#..#..#...#.........#..#..##.#...#......#......#####.#..#...........#.....#.....#...##...#.#.....#...##..#..............#..#.#..#....#.#....#.....#.##
....#.##...#.....#..............#.....##...##...#..##..........#.......#...#....##..#..#..##.##...#........#.###.....##........#.........##..###.#.......#...#........####....#..#..#........#..#.....#..##.........##.#........##.....#..#..#.....#...#.#.#.#..#..##..#.##.....#.....#...##.........#...#.....#.#...#...#.............#..###....#........#.....##.....#.........##...#..........#....#...##........#.##.......#.....#...#.....#.#.##.....#...###......#.....#....##.....###.....#.#.#.....#...#.#.....#....#..#...##.#.........#.#..##.#.#...#.#.......#.#...#..............#....##.....#.#.#....#...........#...##.##.....#..#.#.......#.....#..#..#.........#..#..#.......#...#........#...............#.#.....#..#.#.##.....##.....###..#...##........#...#...#.#..#...#.....##.#.#........................#.#....#....#.......##.....#.#.........#.#.....##.#.#.#.#.#.#.........#.....##...#......##....#.##.#......#.....#..##.#..#....#.....#............#...#...#............#.#..#..#......#.#.#..#.....#...
#.#.#............#..#......#....#.....#..#.#...##...#..##......#..........#..##..#.....#....###...#......#.##.#..##...##........#.......#.##.#.#.....#...#............#.#....#......#........#..#.....#...###.......##...........#.....#..#..#...#.#..#..#...#.........#.##........#..#....#...............#.##.....#....#...#..#....#.#..##........#...####.#.........#....#....##........#...#.#...........#.#.#..#.##...#......#..##....##..#.........##....##.#....#.................###..#....##..#...#..##...............##...#.#.........#.#...#.#.........#.......#..##.............##......#....##...##........#.........#.........#..#.........#....#...#.#..##.............#.......#..#.........#.....#....##..........#.##.#..#......#......##..##...#...#.#...#...........#.#.##...#..##.#....##......#.#.....#.....#....#....##..#...##.#...#.#.........#...#.##.#.......#........#..#..#..#.#..#.........##....#..###...#.#.....#...#.....#....#.......#...#........##....#..........#..#.......#....#.#.##.#.....#..#
.#..#..##..#........#......#......#...##...#...#...#...##......#.........#.......#..#..#..#..#...........#..####..#..###....#..#..##.#..#.#...##.#.##....#.#####......##......#..............#..........#.#.........#.##.......#..........###.#........#.#.#..............#...#.#.#.......##.............#.#.....#...#...#...........##...#...#..#......####.#...#.#...#..........#.............#.........##...........#...#...#..##.......#....##.##...#......##.##...#......#.........#.##..#.....#.###..#.........#...#......#..##.#..###......#.......#.....###........#.#..#.........#.......###............##.......##.....#...#...#.....#.#.#.....#..........#.....#..........#............................#...##..#.......##......#.....##.....#........#..........#..#.....#.##.#.#.##.####...#...###...#.#...#...#...#.#...#.....#.......##.##...#.......##.#...#.##.#..##.#...#......#....#...##.#.#.#......##....##.##...................#..##..........#...#..........###..#...........##...#..##..........#..#.......##
###.....##.......#..#....#...#......#..#.#.........#...#..............#.....#....#.#....#.........#.#.#..#..#........#.#........#..#....#.##.#.......#................#.......#..............#........#.............##.#.........#.....#..###.#..#.#..#..#..##...........#....#.......#...##.........#...#...##.....#....#...#.......#......#......##....##.....##.....#....##..#.#............###.#..#...##.#...#..#.............##.##....##.##.#..#....#.#...#..#....#................##.#.....#..#............#...#.#.#......#........###....#.#...........#...#.....#.##.##.#...#.....#.......##.......#.#...#......#........##...#........#...#.....#..........##.##.........#..#..#....###.#.#......##..........#...........#.##.#.#......##.......#..##..#....#.#..#.......#....#.#....#........#.........#..............#....##.....#.......#.##...........#......#....#.###.#.....#...............#..#.#........#...###.#.##...##...#.....#....##...#.#....#...#.#........##...#.................#..#.#........#..........#.
###.#.#..#...............#.#....#.#.#..#.#.##.......#...#..#..........##..###.#....#....#..##.........#....##.##......#...........##.....#..####....#.........##......##.#....#.....#........#..#..#..#.##.##.......###........##..........###...###.......###..#.....##.##.....#.##..#...##......#......###.........#...#...#......#....#.#..#....##.....#.....##.#........#...###........#...#...#..#...#....#......##...#...#.###..#..#..#.#.##.#....####..###.#....#......#....#.......#.#...#.##.##...#..#..#...#.#........#...#.#..#.#....#....#..#.#.......#.....#..#.......#.........#....##.......#.##...#..#.....#......##.#....#..............#....##....##.#.............##.......#............#......#...............####.####......#.....##.##..............#...#.....#.#..#.##...###...#....###...#...#.........#.....#......#..#...#......#.#.......#...#.#.#.#..#..............#.....#...#........#..##.#...#.#.###....#...##....#..#..#.....##......#............#....#....................#......#.#.##.#.........
.##.#...##...............#...#......#.#..#.#...#.......##..#...........#.##...#.##.##..#...#........#.#....#.....##..#.......#..#.##.#....###.#..#.##....#..####......##.#...##........#.....#..........#..#........####.......###.....#..##..#..#.......#..##.....##.#..##........#..#...#..........#........##.#..#....#...#......##.#.####....#...........#..##..........##..##...##....#..............##.......................#.#...#.#...#.#.#....#..#....#......#..........##....#..#.##....#...#...#..#..#.#...#.#..#..#...#..#....#....#.....#.#.#...#.......#.#....#..#...#.....#..#....###......#..#...#........#..#...##.#...##.#.....................#..#.##......#..#..#........#..#.#.............##....#..#.#.......##.#..#.....#......#.#.#....##...#.#..........#....#..........##...#...#.#...#.............#.#...##....#.......##.#...#.........#...#.#.#.#..#.......#.........#.##.#####.................##....#..###..##.....#.#.......#.....##...#.#........###.................#.##.#....................#..#
.##.#....#.#........#...........#.#.#....#..#...#..##...#..............#..#.#...##..#..##.##.#...........#.#.....#.....#.....#.#..#..#..#.#.#..#.#...........###......#..#...##........#.....#...........####.......#..#...............#...#.##....#..#.....#...#..#..#..#......#.##..............#......###.###.#...#...#...#.........#.#.#..#.....#.....#..#...#.....#........#....##..........#.##......#...#..#.#.##...#......#..##..#..#....#..#...####..#....#..............##....##.#.#...................#.#.#......#..#...#..##..#...............#...#..#........##..#.............##.....#.....##..###..#..#..#.##..#..#.#.....#.....#...#...........#..#.##.#..#.......#..##.#......#..........#.......#...#.....#.......##.####.....##.....###.##....#...#........#...#...##.#.###..##.#..#....##....#...#..........#....##........#...##.##...##.......#.....#.##....##.....#.#..........#.###........#..###.....##..#....#.#..##.#..##.#...#.....#...#......#........##...#...........##.#....#..#....#.#....#........#
#.#.#..#.#.#........#....#.#.#....#...#.........#......#..............#..###..#..#.##...#.###.......#....#.#.###.##...##..........##.....##......#.#.......#..#.......##.....##.....#..#........#.....#.##..#........##................#..#####...#....#....##..#..##.#.......#.#.#........#.........#....#..#.#.....#..............##.#.#..#....#..#...#..#.................#..#.#..##.........##.#.......#.#.#..#...##...#...#..#......#.#...#.#.#.....#.#..###.#...............##....##....#..#..#.#.#..#...#...###.#.......##.....##..#.....#.#.......#.....###...#...##.#..#...#....................###.###..#.....#..#..#...##.##...#........#...........#..#.##............#..#.......#...#.#.......#......#...#...........####...#.......#......#.#.##..#......#...#......#.#....#..#...##..#.#..........#...#.#........##...#.........#...#........#......##.......##...#.#.#.....#.........#.....#..#.#.....#.......##.#................#.....#......#...#..#.........#.......#...................#...........##.........#.
#.#.#...##........................#...##.#.#...##...#.##.......#......##.#.###.....##..##....#........#.....###......##.....##....#.......##.#.#.#..##.....#..#..............##..#..#........#..#..#.................#.#..................#..##..#....##.#..##........#..#............#...##.............###.#...#..#...........#...#..#..#......#.#....#.#.....#..#.........#...#...#.....#....##.#..#....#.#........##.........###..#..#..#...#...#...#..#..###.#....#.....#....##......#...#..#.........#..##.#...#...#..#...#..##.#...##..........#.........#.#..........##.....#.....#..#....##.......#.#.#..#..#..#.#......##..#....#.#..#.#.#.....#....#...#..#.#..........#..#.......#.#...#......##.....#....#...#.......#.#....#......#.......##.#.#.......#....##..#.......#.#...###..####.#..........#.#.#.#...#.....#...##........#...#..##..#........#..#.#.#.##.....#.#...#.#.......#.##.####....#..#..###.....##.###...#.#..#..#..#.....##.....#...#....#.#........#....##.............#..#....#......#..#.........##
#.#....#.........#..#....#.#......#...#....#...#...##..........#......#.....##.........##...#.#...#.#.#..#.##.#......###....##.......#...#...##..#.##....#...................#...#..#..#..............#...###.......###..........#.....#..#.###..##........##......##....##...#.#.##..#...................##..##.........#...#........##..#........#............##.#...#.....#..#.#..............#.#......##...#.##............#.#....#....##.##...#..........#.#..#...#..........#.....###..##....######..#..##.#.#...#....#......#...#.##.....#.............#.#............#..#..##.....#..#......#....##..#.#..#.....#.##.....###.#...#..#....#.#.....#...........#..#.............#.#....###.#.........#..........##..#.#.....##.#.##.#......#......#....#..##...#.#..##..#.........#....#...####......#.....#.#...#.......###...##............#...#..###.......#...#.#...#..#.#...#.#.#.......#..#............#...###...#.........###..##.#..##..........##...#..#...#.....#...##..............#....##.##.#....#.#..#..........#
.##.#...##.#........#....#.#........#...........#..##..##..#.............##.#......##..##..###........#....#.###.#...###.....#..#.#..#...#.#####.#..##...#.#.#.........##....#......#........#..#..#....##.#........#.#........#.#...........#...###..##....##.....##.#.......#.#..........#......#.......#..##..#..#...........#...#.##..###......#....##...#..##.....#....##..#..................##.#......#.#.##.#..#...#.....##...#....##..##..##...#.#....##.##.....................###..#..#..##.....#.........#...#............##...#......#..#....#...#.......#...#.....#..#................#....##....#.#........#...#..#...##..#.....#...............#.....#.##......#.....##......##...................................##...#.#.............##..##...##........#.........#...#..####.#####.##...#.#.......#.........###..........#......#..#...###.........#.#...#.##.#.#.......#.......#........#......#....#.....####.....##...#..#...#.#..#.....##...##.....#........##...#............#.#.#..#..#....#.#..#..........#
#.#...##.#.#........#...........#...#..........##..#...........#......#...#.....#..##...#....##...#.#....#.#.#.#.##..#.#.............#......####....#....#.#.#........##.#...##..#..#..#...........#..#.............###................#...#.....##........#.#........##......#...##..#...#..........#...#...##..#..#........#......#....#....#..#..#.....##.#...#.....#.....#........#....#....##........#..#.#.......#.........###..........#.#..##...##.#...##............##.........####.#...#.....##..#...#.#.##....#..#...#...#.#..#.#.........#..#.#...#.......#.#.#........#......#.#.....#.#....##.......#...........#..........#.....#.#.#..........#...#.....#.#..........##.#.....##.#........#...........#...#.#.....#..#.###......#........#...#...#................#........#.##..#.##..#...##....#.............###..........#..#......##..##............#.#.#.##.....#.#...........#.#..#..#..#.......##.#......##.##..#.#..##.#........#.....#.....#.....#.....#....#.................#..#.##..........#..#.........
##..#.#.##.#.....#..#...........#...#.#..#.##.......#.#.#..#...........#....#.#.##..#..##.###.#.....#.#.......##..#..###....#............#....##...........#...#......##.........#..#..#.....#..#..#..#.##..#.......#.#.........##.....#..###......#.....#.###..#...#.....#.......#.......#..............###.............#...#......###..##.#....#.#....#..#.#..##.#...#........###..#.....#.....#..#........#......#.##.......#..#...#..#.#....##.......##...#.#..#...............#.....#...##..#.#..###........#...#..............#....##.....#.#...#.........#.....#.#.##........#.....#..#.....#.........#.#..#.....#..#..#....#..#..#...............#........#..#.#.......#..#...#..........#.#.......#.....##...#............###.##.......#........#.#.#..##...#........#.......####.####.#.##..##...#.......#.#.....#...##..........#...#.......#....#......##...#...###..#.#.#.#...........#.......#............##....#...#.........#..#........#.....##....#.#.#............#..#............#...#...#..........#..#........#
..#.#.#.##.......#.......#.#.#......#.#........#....#...#......#......##.###....#..#...##.###.#.......#....###.#..#..#.#..........#..#....#....#.#.##......##.#........#.#...#.........#.....#..........##.##........#..........#......#...#.....##......#..#...#..##..#........#..#..#....#.................#...#...#...#...#..#....###................#.#..#.........#.....#...#...#.....#....#..#..#...#..#.#..................#..##....##.####.##...####......#....#......#.........#..#..#.......#............#.....#..#..#...#..#..###....#.#..##...#...#.#.#...#.#.##.##.#...#....................###.###..#..#..#.##..#..###.##........#.#.#.....#.....#....#...#......#.....#........##......................#.....#.....##.#..........##......#..##...##...#.#..#............##.......#.#.#.##....##...................#.............#....#.#...##.......##.......#.#..##.............#....#...#......#..#.....#......#..#....#...#......#.#.......###...##...........#....#..#............#.#.##.#.......#................
##.........#.....#.......#..........#..#....#...#..#...#.......#.........#..#.#.##.##..##.#..#....#......#..##....#....#....#..##..#.#..####.#.#.....#.....####.......#.......#.....#..#...........#..#..####.........#................#.....##.......##...#....#.....#...#.....#..#.......#......#..#...#.#..#..#..............#...##.#...##......#....###..#...#.#...#....##...##..#.........#.#........#..#...##...#....#......##.##..#.#....##......#.......#.##...#.....#..........##....#.....#.#....#........#..........##...#.##.#.#....#.#..##.#.......#.....#.#.#...#.#...#.....#.#.....#......#.......#...#..#.##......##..#..........#.......#....##..#.##.#..#..........##.#....###.#.#.............#....##..#.#.......##.#.##.....#........#.#.....#.....#..#.......#.#..##....##.#####.##....#....#.#.#.....#.........##.....#..#.......#..##.......##.#...#...##...#.....#......#.....#.#####.#.#.....####.....####....#.....#.....#.#..##....##...#..#...#.....#...#....#...............##..#.#....#...#..#........#
..#.#.#.##.#.............#...#..#.#.#..............##...#.............#..##..#......#..##..##.....#.#.........##.......#....#...#....#..#.####.#...###.....#...........#.#....#.....#........#.....#....#...#..........#.......###.....#....#.#....#..##.#..##..#..##..#..#.......#...#...........#..#...#.......#.......#...#......####..#.#.#...........##....##...........#..###..#.........##.....#......#.........#...#...#..#..##..#.....###..#....#......#.#...........#...##.....###.......#....#.....#..#..##.#.......##..#..#..#......#.........#...#...#.......#..#.....#......#.........#......#.#.#.##.....#.##.....##..#....#.#..#.#.#..........#.....##.#................#..........#.......#......#...............##.#.#.##.....#......#..##...........#..#...#.........#..##.#..####..#...##......#.......#...###...##........#....#.##...##.......#.#...#...#..#...#.#.#.#....#..#..#.#...#.#.#..#..#..#.....##.##.....#..#.....#.................#...#...........#...#...........#...............#...#........#.##
.#..#..#.#.#.....#.........#..........#..#.....##..##.##...#...#.......#.#.#.#..##..#.........#.......#..#.#...#.##....#....#..#.........####.##...#.......#.#........####...#......#..#.....#.....#..#.#..#........#..........#.#.........#.......#..#....##......##.#..##.....#..#..#....#......#.......##...#.#...#...#............##....#....#.#....####....##.#........##..#....##....#....#................#..#..........#.##..##..#.......#......#.##...#..#....#......#...#......###..#..#....#........#.#...#..........#..#..#..#.#..........#.#.#...#.#.#...#.#.##..#...........#.#.....###....#.#..##..#...........#..###.....#.....#.#.#.....#.....#..#.##..#............#..#.....##.#........##.....#.....#..#.#.......#.....#.....##......##.##...#.........#.......#...#..#......#.#.#.##.....#...#...#.........###....#....#...#......#...###.......#...#.#.#..#.##..#..................##......#.....##..........#....#.#..#..#..##...........#...#.....................#.............#.##....#......#.#..#.....#..#
#........#.#........#......#.#......#.......#......##...#..#..........##..####..#......#..#####...#.#......#.###.....#......##.#...#.#..##..#..#....##...#.####.........##...##.....#..............#....##.#.........#..........##.....#..###.#..........#.##......#..#..##.....#..#......#..........#....##.#.......#...............#....#.#.#....##.....##.#..##...............#....#........#.#.#..#......#....#....#...#......#......#.##.##.#.#....#.....##.......#.....#....#.....#.#...#..#.#.####..#.....#.##..#....#...#..#...#.#......#.....#...#.......#...#....#.#......#.....#.#.....#........#.###........#.##.....#...#......#....#.#...........#....#...#......#..#..##........#.#........#......#....#...#........#...#..#.....##.......#...#..##...#........#...#.#.##......#.#####.##...##....#...#.#...#...#.#...#......#..#...........#.......#..#.#.....#..#.....#.#.#.......#......##..#.......#.##...#...###...#.#........##..........#....##...#...........#...............##.#.##.#..#....#................
.##.#.####.......#..#..................#...........##.##...#...#.......#.....#..#...#..##....##.....#....#.#.##..#...##........##.#..#....#....#...###.....#...#.............#...#.....#.....#.....#....##..........#.##...............#..#.#.....#...##.#.##......##..#.#....#....#......#.......#.......#..##..#..##...#...#......##...###........#...##.#.#..##.....#.....#......................#.#...##......#.#..........#..#..##.....#.#..#.#....###...###.##...#.....#....#......##...#..#..##..#......#.......#.......##..##....#.#.........#....#......##...#.#..#.......#......#........##......#.##..#...#....##..#..##..............#.............#..#.#..#.............##.#......#...#......#......##...#...#.......##.#.###......##.......#####..##...#....##......#...#.#..###..###....#.....#.............#.....#....#........#...##..#..##............#...#....#.......#.#....#..#......#.#.#.......#..#....##....#..#.#..............#....###......#...#........#................##.#.##..#......#...##.......#.#.
#.#.#.#.##..........#......#........#..#.#.#...##.....##..............#...###...#..##..##.##..#.....#....#.#.#.#..#..#...............#..#..#........##...#.#####......####...#...#..#..#...........#..#.#.###.........#........###.....#...##.#..###..#..#.#..........#..#......#.##..#...........#..#...###..#..#.......#...#......####...#............#.#........#...#........#.....#.........##.##.....##......#.#.##...........#.##.....#.#.#..#....##.#...##............##...............#....##......#..#..#.#.#.#.#......#.....##..........#..#....#.....###.......#..#..#...#.......##....#......#.#.#................#..###.....##....#...#.....#....##....#..#..#.......#..#.......#...#.#......##.....#....#...#.#.....###...........##.....###..#...##.....#..#...#.........#...###.####.............#...#.#..............#.....#......##.......#......##............###.#...#.#....#..#..#..###..#.#......#.#...#..##.....#....##.....#.....#....##...##..............#.#..............##....#.##..........##.#.....#.#.
..#....#.#.#.....#..#.............#.#.#.....#..#...#...##.............#..#...#..#.......#...#.#.....#.#..#...###.....#......#.....##....#.#..###....##.....##..#......##.#....#..#..#..#.....#..........##.##..........#........##.....#..##..#..###.....#.#........#.#..#......#..#......#..........#.......#......#...........#.....#....##.#..#..#....##......#.#...#........##....#....#.......##.#...#......#.............#.#...#.....##...#..#.....###..#.#.#..........#.............#.#...#...#.#...#..#..#...#.#.......##.....#...##............#.#.....##....#.#....##.....#........#.....#.....##....#.#......#..#..#..#.......#..#..#....................#..#..#....#..#..#..#....#.....#.......#.....#.....#..#.......#.##...#...............##.#...##................#...####.#.#...###..##...#.....#...#.........#...............#......#...###......#........##.#.###............#.....#..#..#.#.#........#.....##..#...#....##.#..#..........#.#....#.#...#.....#...##..##..........##.#....##......#.#............##
.#..#..###.......#.........#....#.#....#........#..#.......#...#......#..#..#.#.##.##..##...##....#...#..#.#.#.#.#...#.........#.....#..#.##..##...#.#.......#.#.........#..........#..#.....#..#.......##..#........#.#........#......#...#.#...##......#.#.#......#.#..#....#.#..#..#...........#.......#...#..#..............#...###..#.#..#..#.#.....#.#....##.#........##..#....##....#....##.#......#....#..#.#..........#.##..#.....#.......#......##...#..#....#.....##...##......#..##....................###.#.#.....##...#....###.........##...#......#......#.#..##.#..#........#.....#..........##..................#....#........#.#............#...#.......#.......#..##.#....#...#...............##...##....#.....#....#........##.....##.#.#...#......#..#................#..#...###..#...........#...#.......#.....#.....#...#...#..#...#........##...#..........#.#.#.#.#....#..#..#..#.##.#.#........#....#.....#....#..##.#.........#...#.#...#....#.......#..#.#...#..........#..#..#.#.......#.#.#..........##
#.#....#.................#.#........#..#.#.##..#....#.#.#..#...........#.##.##..#.........#................#...#.##...##....#...#.#.....#...........#....#.#..##......##......#..#.....#..............#.###.........#..#.......#.#.....#...#..#...#...##...#....#.............#.......#...##......#..........#.#.#..##...#...#..#...#..#..##.....#..#....#...#..#......#.............##........###.#..#........#...............#.#.........##......##...##.#..##..##.........##...##....##.#..#..#..#.#....#.......##..#....#...#........##.....#.#.....#.......###.....#..#.#..#...........##.....#.....##..#...#......#........##..#....#...................##..#..#.##.........#............#...........#..........##............#..##.#......#.....##.......#......#..#.......#....##...##..#...#..#...##....#...............#....#............##..#..............#...#.#.##..##...#.#.#.......#....####....#.....#..#....##.###...#..........#..........###........#.#.....#....................#.#.##.#............#.#.........
.#..#.#....#.....#..#....#......#.....##...........#..#................#.###....#..#....#.#.......#......#..#....#...###.......##.##.#..#.#...#..#...#......###.......####...##..#..#..#........#..#..#..#..#.......#..#.......##..........#..#..#.#..#..#......#..##.##.#......#.##......##......#..#...#.#.###....##...#......#...#..#....#......#.....#...#..#...........##..###...#.........##.##..........#..#.#..#.......#.##......#.#...#.#......##.#..#.#.##...#................#.#...#..#..#..##..........##..#.#......#..#..............#..##.#.....#...............#.#...........#.....#........#..##...................#.#....#.#..#.#.#.....#.....#..#.##................#.......#............#......#...............#..#...........#.......#.##...#.........#...#...#.#.###....#....##..##...#.......#.#.#...#....##.........##......#..##..###......##.....#....#................#..#......#.....#........#....#.####.........#.#..##.#.......###......#.........#..###...............#....#..#.#........##.#.........
....#.##...#.....#..#......#.#........##.#.#....#..##..##......#.........#.####..#.#.......................#.##..##..#............##....#.#.#..#....##.....#.#........##.........#..#........#..#..#..#.####........#..#.........#.....#...####..#....##.#.#..........##..#........#......##..............##........##...#..........#....###..#.........#.#........#........#.....#...#....#....#.....#......#.#.##...#....#.....#.#.#.....##....#.#....#.........#....#......#...#.....#.##..#..#.#.#........##...#.#.#.#..#......##.....#.....#.#...........#..##...#.#....##.............#.......#.....##.#...##..#..#.#.......#..............#.#.....#....#.....#..##.#....#..............##.#.#......##.....##....#..#........#...#...............###.#.....#...#.#..........#...#.#...###.#..##.#.....##.....#...#.......#.#...#.........#......##....#.......#.....#.##...##..#.#...#............###...#.#..#....#......#.###...#.#...#....##.#..#....#.#...##.#.#.#.....#..##....#..........#....#...#.#.........#.#.........
..#....#.#...................#......#....#.#.......#..#........#......#..####.#..#.##.....#.#..............###...#....#.....##..#....#....#...##.#..#......####.........#....#...#.....#...........#.......#........#..#.......#.......#...####..#....##.#.###.....##....#....#...##..#..............#...#.#...#....#...............##...#.#..#..#.........#.#.....#...#.....#...#.............###.##.#...##.#.#......#........#.###.#...#.#....#..##...#.#...##.......#.....#....##....#..#.##......#.#...#...#....#..#....#..#....#.##...#....#.....#...#...#..#........#..##.....#.......#......##.....#..#.#.#........##.....##..##..##.#..#.#.............#..#.##.##......#..#..##.......#..................##..................#.#.#.......#........#..........#.#..##..#...#...#..#.#..#..###.......#.........#.#.......#......#....#.......##.#...#........#..#.#...##...###...#...#.........##.#..##......#..##......#.##.##...##.....#........#....##....##..............##....#...............##.........#.#.#...........#
###.#.#.##.#........#........#....#.#......##...#..##.#...............#..##..##..#.........#..#.......#.....#.##.............#.##.........#.#..#...#.#.....####........###..........#........#..#.......#####........###.......#.#........##......##..##.#.##...#...#.##..#...#....#..#...#.......#......##..#.#.....#.......#..#.....##..#......#.#.....#.#.#..##.....#....#....#....#....#...##..##.#...##...#..#....#.........#...##....##.#..#.#......#.....#............#....##....###...#......##....#..##...#.....#......#..#..#..###....#.#...#.......#.#.....#.#.#..##.#.........#.##....#......#.....#.....#..#.#...#..#....#...#....#..............##..#.#..#.......#...............#.#.#......#...........##..#.#.......#...........#......#...#....##...#.#...#......#....#.#.#..#..####......#.#...#.#...........###...##.....#......##.##...#........#.#...#..............#.#....#..#.##.......#.#..#..###....#.#..#.#..##...#..#........##.....#...#..#...#..........#..##...........#...##....#....#....#.#.........
#...#.###..#.....#.........#........#.#.....#...#..#...##.............#..#.####.##..#..##..#.#....#...#..#.#.#.#.##..#.........#........##.#####.......................#.....#.........#........#..#..#.....#.......#..................#...##.....#...#....#.#.....##..#.#....#.#..#..#...##.............###.###.#...#...#......#....#.#.#.#.......#....#.#.....#......#....##..#....##.........##...........#...##...##...#...#......#....#..####.........#..#.#..#...#.....#..........##...#.....##..##......#.#.#.....#......#..##.#..............##..........##...#.#..#..............#.##....###....##..##...#..#.....#......#..#...#...............#........#..#....#....#..#...#.......#..#.........#.....##....#....#.....#.#....#......##.....#.####...#......#......#...#.....#..##....###..#....###...#...#.....#...#.#...##....##......##......#.......#..#.#.....#..#...#.....#.........#..#...#...#.....#.#.....###.......#............#.......###......#...#.....#...#....#..........#..#..#....#....#...#..........#.
##..#..##..#........#........#......#.#....##..#...#..##.......#.......#..#####.............................#.##.##.........##.##.#.....######.#.....#...#.#.#.#......#.##....#........#.....#..#..#..#...###.......###........###.....#..###....#.#..##.#............##..#.....#.#.......#..........#....#...#..#..##...#...#.......#.#..###.#..#......###..#...#...........#....#..#.........#......#....#.#...##...##.........###.##..#.##..#.........#.#..#...........................#.............#......#....#....#..#..##..#.....#........#..#..........#.#...#......##...........#.......##.....#...#.#.....#........#..##......#.....#...#.................#..#.#.............#....#...#........#......##.........#..........##........#.....###.#.#..#..........#..#...#.#.#..#.#.##.##.................#...#...#....##....#....#........#.##..#.............#.#.#.##.##..#...#.#....#..#.##.......#.#......#......##.###....#....#.#..##.#.......#.#...#..#............#.....#...........#....#..#.#.................#.#.
....#..##........#.......#......#.#.#..#...#...#...#..##...#...#......#..#..#....#.##..#..#...........#..#.#...#.##.........##.#...#.#....#.####.#..#......#.###.......#......#.....#...........#..#..#.....#.......#.##........##.....#...#.##...##..##...#....#...#.#...#.....#..#..#....#.............#....#..#...#...#......#....#.....#.............#...#..............#...#.#..#.....#...###.#..#......#.#..#............#.##...........##.#..#....#......#.#....#.....##...##.....#...##.......#.#.....##.#..##...#..#..#....#....#.#....#....##..........#......#..#.#.....##........#.....#.....##..#.#........#..........#.#....#....#.#.......#.....#.....#................#........#..........##.....#....##....#.....#..#..###.....#......#...##........#....##..........####.##.#.#.#.#.#....##..........#.............##.....#......##......#..........#.#......#.#.......#......#..#..#...###.........#.........#..##..##....#.#..##....##...##.....#.#...#..........#..##..........#..#..#.#..#......#..#.#.....#..#
###...#....#.....#.........#.#..#.....##....#...#......##..#...#.........###.#...#.##..##..#.#....#.#....#.#.###............##.#........#.##.##..#..#.......#..#......##.....##..#.....#..............#.##..........###........##.........#..#...#.#...#.#..#......#..##.##...#.#.#...#...#.......#........#..##.#..##...#......#....#.#.#..#............###.#..##.#...#.....#..###..#.............##.....##.#.#....#.##..............#....#...#.#..#....#....#.#.#................#....#.#........##.#..........#.#...#...........#..#..##.....#.#..#..#.#...#...#...#.#.....#.#..##.............###....###...............#..#..#.#..#..#...............#........#.#..........#..#..##............#......##.....#....##............##.#.##.....##...................#................#.#..#....##.##..............#...#.........#....#.....#..........#....#......#..#.#...#..#.#.#.....#............#.#...#.........#.#....#.##.###...##..#..#..#.....#.....#.........#..........#.#...#..........#..#....##.#.................#.#.
.##...####.#........#....#..........#..#....#..#...#..#.#..............#.#..##...#.....#..........#...#..#.###.#.#....#.....##...........#..####...#.......###.#......#.##...#...#...........#..#..#....###.#.......##.........###..........##.........#.#..#...#..##....##.....#.##.......................#.##..#...#...#.............#.#.#..#.....#.....#.....##.#.........#...#...##........#...#..#....#.#...#..#.#..........##...#....#..###...#......#....#.#....#.....#..........###..##....#..##.......#.#.###.#.......#...#...#..##....#.......#.....#.........#.##....#..#......#.##.....##....#.#.#.#..#.......#.......##...........#.#.#.....#........#.#.....#....#..#.....#........#.#.......#...........#..#........#...#.#..............###......#...#.....#........#..#.#...##.###..........#.....#.#..........#....##........#....#.....###......#......#.##.#.##..#.#........#..#.#..#...#.#.#..#..#..#...##.##.##...##..##................##....#...#.......#...#...##................#.#..............#.....#..#
#.#.....#..#.....#.........#.#..#.#.#.##....#..##..##.................#..##.###.#..##...#....##.......#..#.#.#.#.....#.#.....#..#..#.#...##.##...#.#.#.....#..#........##.....#..#..#........#..#..#.......#........##.................#..#.###.......##.#.........##..#.##...#...##..#....#..............##.....#..##...#...#........#...##..#..#.##...#....#..#....................##...............#....#.#.#....#......#.....#....#..#.##.#.##.........#..###.##...#......#....#....#..#.....#.#..###..#..#..#.###.#....#..#....#.##.###.........##.......#...#...#.#.##..#.....#.....#.#.......#.....##.....#........##..#....#..#..##....#.#.#.....#....##.....#.#..........#..##......##..#.#.......#......#...#...#..........#..###.....#......#.#.......#...#....#.......#.....##.##...####.......###...#...#.....#...#.#....#............##.#...###.......#.#...#.##.#.##........#....#.......##..#...#..#...#.#....#..##.#...##..#...........#....##.....#...#.......#...##...#...............##.#.......#...#........#.#.
.#.....#...#........#....#...#....#.#.#.....#..........#.......#.........##...#.##.##.........#...#........#.##......###.....#.##..#....#.##.....#.##..................#.....#...#..#...........#.......###.........####...............#..#.#.#..###..#..#......#.....#..##...#...##..#...#..........#....##..#..#..##.......#......#..#...##.#..#.......#.#.#..##.....#........#.#..##....#....##.#......#..#...#....##...#...#.##..#......#..#....#...#.##..##..#..........#.....#.......#..#....####.#.....##...#.#...#.....##.....#...##......#..##.#.#......##...#.#....##.#..#......#.#......##....#.#..#......#..#.##................#..#.#............##....#..#.......#.....##.#..........#.......#.....#....#..............#.#...............####.##.......#.#...............#......#.#.###......##....#.#...........###...##........#....#.##..#.#......#......#..##........#.#..............##.#.......#..#.##...#..#...#....#.....#..#..#.......###...#....#.#.....#...#....#...........#...##.#.......#.#.##.......#.##
#.#.#.#.#...........#....#......#.....##...#...#...##..#.......#.........####....#......#.#...#...#...#..#..##.#.##....#.......#...#.#.......#.#.....#...#..##.#......#..#....#..#.....#.................###.........###....................###...##........#...#......#.##...........#...##......#......#.#.###.....#...#...#..#...#.....#...#.....#...#....#.....#.........#..###...#....#...#.#.#.......#.#...##.#.#....#...#.....##....##.####.##.....##......##.........#....##....#.##..#......#.##.....#..........#..#...#..##.##..##..............#...........#.......#...........#.......#.......#..##..##..#.....#..#..##.........#..#.#............#...#.......#....#..#..##.#....##..#........#......#.....#..#.#........#...#......#......###.#.#...#.....#......#.........##.#..#..#.#..##.....#...#.#...#...#....##...##....#.......#...............##.#.....##...##..#.#...#.......#.#...#......#..#..#.##...#.#.......##....#.#..#..#..#....#.#....#.#............#....#............#.#.....#.#....#...#..#........#
#...#...#..#....................#...#.##.#..#..#....#..#...#...#.......#....#.#..#.#...#..##........#......#......#....#....##.....#........#.##.....#...#..####........#....##..#...........#.....#..#.#...........#..#........#.........#..#....##.....#...#.....##.#.......#.#.#...#...##......#......#....#.....#....#...........#.#.##.#.#.........#.##.....#.#.............##................#..#......#.........#...#...#.#...#...#.#..##...#......#....#..............#...#......###.##..#...####..#...#.#.###.#.......##...#......#....#.#..#..........##......#..#.##.#..#........#.....##.......#.#.............#......#...#..##....#.#.......#....#...#..#.##.#....#..#..##........#..........##......#...##..#.......##....#..................##.................#...#.#...##...#..###.#.#.....##.......#.#.......#......#....##.........##..#.#.........#.#.....#..#...#.#.#.#.......#....###.#.#....#.....#........#.#..##....#.#...#.........#.#......#..............#..............#..#.#.....#......#.#..#........#
..#.#....#..........#......#.#....#.#..#....#.......#.##...#...#..........#####.....#...#..###......#....#..####.....#.......#.#..##....#..##.##...###...#.#..##.........#...#......#..#........#.....#.#.##.........##........#.#........#..#........##.#.##......#..##......#...##..#...........#......##......#..#................###..###....#......####.#..##..........#........##..........#.#..#....#.#.#.#..#.#..........#...#......#..###......#..#...#..##.........##...##.....###.#.......#.#......##...#.#.#.#......#........##...........#.........#.#.......##.#..#..##.....#.#.....##.....###.#....#..............###.#...#..#..#...#.....#.....#..#..#.##.........#.....#......#.#.#......#.......#...#...#.......####...........#.......#.##...##........#...........####.#.....###..##....#..........#...#...###...#..............#.#............#..#.#.........#......#.#....#..#.##...##....#.....#.......####.....###..#..#...#.#...#...###........#.......#...#...#................#...#..........#..#.......#.
###.#...##.#...............#....#...#.##.#..#..#...##..#...#...#......##.#..#...##..#...#.##..#...#.#.#..#..#.#..#...#.......#.#..##.#...##.#.#.....#....#..#.##......#.##.............#.....#..#.......#..##.......##.........###........#...#..#....##...........#..#...#.....#.##.................#...###.#.#.#...#.......#..#....##..####.#..#..#....#...#..##.#........#...###...#....#...###.##.#...##.#.#....#.#........#.##......#.....#.#.##...#.....##..#....#.....#....#.......##.....#.####.#..#..##.#...#......#......##....#.#.........##.#.#...........#.......#.#..##..............#......#...#...#..#..#.#......##...#........#.#.......#....##....##.##............##.#........#........##..........#...#.#......#.....##............####......#............#...#...#.##.#.##..#....##....#..................##.....#....##.......#.#....#........#.#.#...##...###.#..................####....#..#..####.....#.#.##........#.#..#..#..#....#.#...##...........#........#..........##...#..........#....#.......#...
###...#.#..#.....#..#......#.#......#..#.#.#....#..#..##..............##..#.###..#.#.......##.....#.#......##..#.#...###....#.....#........#..#.....#....#.##..#......#.##...#...#..#..#.....#..........#.#.........#.##..................##.....#.#..#..#..#...#.....#.........#.#...#...........#......##..##..............#.......###.#..#....#.##....##..#..#.................#........#....#..#......#......#....#....#.....#.#..#..#.##.###..##....#.#..#...##.........#....##....#.#.........###.#............#.#.......##..#...#.#.#......#.....#.#...#.......#...##.##....##.......#.....##.....#.#.#...##..#..#.....#..###..#...#....#...#.....#....#...#....#..#....#......#.#..........#.......#......#...##..#.#......###.#.##......#......###.##..##...#.#..##..#...#....#.#..#.....#.#..#...#.#.......#................#....##..#...##..#....#.........#.#.#...#..###...#................##.##.#.#......###...##.##.#....#...#..#...#.#..##...#.#....#.#.........#..#.....#..........##......#..#........#..#........#
#...#.#....#.....#..#....#.#.#..#.#.#.##.#..#...#..#..##...#..........##.....#...#.##..#..#...#.....#....#.#.##..##..##.....##.#..##.#..#..#.###.....#...#..#..#......###.....#.....#..#........#.......#.##........#..#.......##......#....#.#...##..#..#...#.....#..##..#.......#........#.............#...###.............#..#...##...####....#.##........#...#..........##...##...#..........#........#.......#.#.##..........##.##....#....#..##...###...###..#.........##...........#..##....#.#..#..#..#....##..#.......#...#...#.###....#.#..##.#.............#.........#...........##....###....##..###..#.......##.....###..#.....#......#.....#....##..#....#.......#..#...#.#.....#..#...............#....#.....#.....#.##..#........#........#.#.............#...#...#...#.#....##.###.#.##...#.#...#.............#.#...#.....##......##.#...#.#......##.#.#.#.#.##.##......#.#....#..#.##...#...#.#......#.#....##..#.#...##...#.#...#.#..#...........#...#.#........#....#..............#.#...............#.#.......##
#......##........#..#........#..#.#......#.#...#....#.###.............#..#..#....#.#...#..#.......#.#......#.....##..###.....#....#.....##..#..#.#...#......#.##......####.......#..#..#.....#..........##.#........#.#........#............###...##...#.#.#.#..#...#....#....#.#.........#...............#...#.....##...#......#...##...#....#..#......##.#.#..##...........#...#...#.....#...##..##.#....#.#......#.##.......#.#.#..#.....#..###......#.##......#...........#...##....#.##..#..#.##......#..##...#.#.........##..#...#.###............#........##..........#.....#......#.#.....#......##..#...#...#..#........###.#....#.#......#.....#....##..#.....#.#....#..#...#.#....#.....#..................##..#..............#.............#..#.....#.........#...#...#.#.#.##..###...#....#....##...#.#.#.....#.........##....##..#...##.....###......##.....#.#..#.#.#.#.....#.......#.#..##..#...#.....###....#.##.#.#.......#..#........#....###....#.....#.....#..###..#..............#..#.#.......#......#.......##
##..#.##.#..........#....#.#....#..................#...##..#...#......##..#.#.#.#...#..##.#...#.....#.#..#..###......#.#....##.#..##........###......#.....####........###...#...#..#..............#....####........##.#........#......#.....#.....#.....#.#....#...#..#.#......#.#............................#.#...#...#...#......###.....#....#.##....##..#..##.....#....#...##....#.........##..#.....#..#.#.#..#..#.......#..#..#.....##..###.#.....##.....#..#.........#....#.....#....##..#.##.#.#..#..#.....##.#.#..#..##..##....##.....#.......#.......#.#.....#..#....#..#........#.......#....#....#...#..#..#.........#.......#.#......#.....#....##..#.....#......#.....##.#......#...#.......#..........##...........##..#..#.....#........#..#....#...#....#.........#..#...#........#.#.....##...#...#.#...#....#....#.........#...#..##..............#.....##...#.#.#.#.#.#....#..#....#.##..#.#..#.....#........#.#..##...#..#..#..#...#..........#.#.#.#.....#...##..#...........##.......#.#......#..#.........#.
.................#.......#.#......#.#..#....#..##.....#....#...#.......#.##.#.#.#...#.......###...#.#....#..#..#.#.....#....##.##.##.#..##.###.....##....#..#..#.......##....##........#.....#..#..#....####........#.#..........#........####.....#..##.#...#..#..##..#......#...#...............#.......#...#.....##...#...#..#...##........#.........##......##.....#.....#..##...##....#....##.#......##.....##...##...#...#.........#.#..##.#..#...#..#...#..##...#.....#....#.....#.#..........####.....#....###.#.#..#..##...#.##........#.#.....#.......#.#.....#....#......#........#.....##......#..#..##..#..#.##.....#.#.##..##.#....#.#.....#....#.....#...#.#....#..#..#.........#.#.#.......#.....#................#.#....#......##.......##......#........#...#...#...##.#.#.#..#......#...#.#.....#...#...#...##....#.....#........#..#....#.......#.....#.#.#..#.#.#.#...#....#.....#....#..#....#.............#.##..##...##....#......#..........#.#.#.#.....#..#....#.................#.#.........#..#.#.......##
.##........#.............#.#.#......#....#.#...##..#...#...#.............##.##...#.....#...#.#....#.#.#....#####.##..#.........#.....#..#..#..#..#..#....#...#........#.#.....#..#.....#........#.....#...##.........#.#.......###.....#..#.#.#...#......#......#...#..#.##...#...........##......#..#....##.###.#..##...#...#.......###..#...#..#.##.....#............#.....#..###...#........##..#..#...##.#.#.#.............#..##..#.....#.##...#....#..#...#..##...#......#..........#.#..#..#.........#..##.#..#.......#..##........###....#.....#.#.#...#..#....#....#..#.#..##.....#........#......##.#.#.#...#.....#..#..##...#...#.#..#...#..........#........##............##..........#.........#...........#..#........###..###.....#........#...#..#......#..#.......#...#....####.#.#.#.#..........#...#.........##....#......#..#.......#..###......##.#.#...#.#..##....#.#...............##.#.#........#.#....#..#.##..#.#...#.#.............#........#.#.......#...##...#..........#....#............#..........#.#.
#.#....###.......#.........#.#..#.....##....#..#...#..##...#..........##.###.##.#...#..##...#.....#.#.#.....#.#..##..###.....#.......#..###...#.....#......##.#........##....##..#..#...........#..#.....###........#..........###........#..#....#....#....#......#..#..##...#.#.#...#...##......#.......##.##..#...#...#...........#....#.#......##....#.......#.#........#...##...#...........#..#.#...##........#.#....#...#.#....#..#....#.#..##...##.#....#............#.....#....#.##........#.###..#..#..#.###.#.#......#..##.##..#.....#.#..##.#.#...#...#........#..#....##.......#......##.....#....#.#.........#..#.......#.....#..#.#.#..........#.....##.##............##......#...#.........#...........#....#.......##.##.#.....##.....##..#.#.........#...#..#.....#..#.#......#..#...#....#..........#...#....#....##................#...##...............####.##................#.#..#.#...#.......####.....#..#....###..##....#.....##...###....#...#.......#..###...#...............#..##.#......#.##.#.....#...
#...#....#.#.....#.......#.#......#.#..#...#.......##.###.............##.####.#..............##...#......#....#........#.......##.##..........#..#.......#..####..............#..............#...........##.#.......#..#.......#.#........###.#....#...#.#..#...#..#..##.#............#....#......#......#.#.#.#....##.......#..#....###.####.#..........###.......#........##...#....#........##..##.#...##........#.##...........#..#..#..#..###..#.....##...........#......#...#.....####.#...#...###...#..##.#.#.#...#..#..##.........#.....#.#...#.#.#.....#.......#.#..##.#..##.......#............###.###..........##..#...#..##........#.#.#.....#.....#..#.##....#....#......#......###.#........##................#.....#..#...#.......#...........#.......#.#......#.............#.#..##.#..#...........#.#.....#....#....#.....#.......#..#...#........##.#.......#..#.#............#..#......###.#.#..#.....#...##.#.#.........##.#..#.....##...##.......#.#..........###..............#..#............#......#.....#.#.
###.#....#.......#..#......#.#......#.##.#.#...##...#.###.............##.#.##....#..#..##.....#.....#......#.#.......#.......#.##..#......###..#.#..#........#.#.............#......#........#..#..#....#..##.......###.........##..........##....#.............#...#..#..#.....#.#.......##......#......##..###.#...#..............####.###..#....#....#....#..##..........##...................#.#.......#.#...#..#.##...#...#..#...........##.#.#.....###...##.##.........#.....#.......#..#..#..#####......#...###.#.#..#...#.....##........#.#..#..#.........#...........#.#..##.....#................#..##.#......#.#...#..#.#.#......#..#.#.......#..........##..#......#.....##......##..#.#......#......#....#...#........##..###......#......##..##.............#...........###..#..#.##..#.##....#....#.#.......#....#....##.....#..#.......#..###......#..#...#.###...##.#...#.#.......#.#..#..#..#....#....##...##..###...###..##....##....##....#....##...#............#..............#....#............#..#.#.....#.#.
#...#.#.#........#..#....#...#....#...##...#...##..##...#..#.............#....#.#..##..#...#..........#....#...#.#.....#.............#...####..#...##....#..##........#..#...#......#..#..............#.#...#........#..........#...........#.#...#...#..#..#...#...#.##........#.#...#..............#...#....##.#..##...#...#..#....#......#....#..#....#...#..#......#....#.........#....#...#...##.#...#..#.#..#.#.##...#.....#...##..#..#...#.......#..#....#.#...........#....#....##...##..#.#.......#..#....###.#....#...#.....#...##....#.#...........#.##....#....#..#.............##....##.....#.#..#...#........#..#..##..#...........#.......#........#.##.#..#....#.....##.#....###.#........##......#...##....#.....###...#.#.....#......#.#................##...........#.#.#..#....##.#....#.#.....#.#.#...#...#.#..........#..#...##.##..#.#.........#.......##.#.....#.#.#............#...#..........##......#.##......#.........#.#...#..............#..........#....#...........#..#.#..##.#......#....#.....#.##
.##.....##.#........#....#.#.#..#.#.#....#.#........#.#.#......#......##..####.........#..#.#.#.......#.....#.##.#...##......#..#..#....#....###...##....#..####.......###...##..#.....#.....#..#..#..#.#.#.#.........#.........#..........#..#..###.....#..#.........##..#...#....#..#...##.........#...###..##.#..#...............##.#.#.##......##....#...#.....#...#....#........#..........#..##.#....#...#.##.#..#.......#..#..#...#....#.#........###..#.#.##...#.....#....#.....#.#......#.#...#.......#.#.###.#.#.....#.......#.###....#.............#.#.#.....#.#..##....##........#.....##.....#..##......#..#.##.....###..#........#.#.#...........#..#.##.#..#.......#...#............#.......#.....##...#.....#......##..#.##.....#......#........##...#.#..##........#.#..#..###...#.#.##....##...#.#.#.#.......#............#......#.......##.........#.#.#........#...#.#......#..#..#.#.#.#.#.#..#..#.#.....#.#.#.#...#...##.....#..........#....##.....#..........#...#..........#.......#.......#......#.......##
.#....####..........#....#.#.#....#.#......##..#...#...##..#...#......#..#.####.##.##...#....#........#..#..####.##..#.........##.##.....##.##......##...#....#.........#....##..#...........#.....#....##.##.......#.##.......#.#.....#...........#..#....###..#...#..#.##...#.#.##......#.......#..#....##.............#......#....##..##......#..#....###.....................##........#...#...##......#.#.#.##.#..........#.###........#.#.#...#...##........................##.....#.......#..#.#.#..#...#.#.#...#.#.........#...#.#.#......#...#..........##.................#.....#........##.........##.#...#....#...#..#...##..##.#....#.......#....#........##.........#..##.#.....##..........#......##...#.....#.....##.....#......#......#.##..#..##........#...#...#...#....#.#.....#...#...###...#.#.#.#...#...#.....##....#........#.##..#.#......##.#.#.#..#...###.#..................##....#.......#.#.....###.#.....#...##.#...#.#..##...###....#...#..........##....#..........##.#.#..##.#....#......#.....#..#
#......#.........#.......#.#.#..#.#.#.##.#..#......#...##......#......#..#..##......#..##.#...#...#...#..#..##....#...##........#.......#.##..#..#.##..........#......#..#...##..#...........#............###........##........#.#.....#..####...#.#..##........#...#.#..##.....#..#..#...#..........#...##..##..#..............#...#..#...#..#..#.##...#.#........#...#.....#..#....#..............#.#...##.....#..#..#.........#.......#..#.#.....#...###...###.................##....###......#.#.#.....#...#.#..#..#..............##........#.....#...#.....#.#...#...##.#..#...#.....#.......#......##..###.#.........#......#..##...#.#....#.#.....#..........#...#.........#.....#....##..#.#.......#......#....#..#.#.....####.##..............#..#.#...#.....................##....###...###.##...#.#...#.#...#...#....##.........##..#...#..#....##......##.#...#...##..#....#................#..#.......#...........#.##....#....##.#...#.#...#....#.....#.....#.........#...#...........##...#...#.#.........#.#.......##
#.......#...........#....#.............#.#.#.......#..###......#......#..#.#.##....##.....#.###.............###..##..#.......#..#........#.#.##..#..##...#.##.##......##.....#...#.................#..#...#.#........#.#.......#.#.....#..........##..##.#.###..#.............#.#.#.......##.........#....##.#...#...........#..#...#..#.###..#..#...........#..............##..##...##....#...#.#........##.#...#.............#..#...#..#.##.####.#....#.#.....#.##..........#.........###........#.#.#...#.........#......#......##....#............#...#...#.##......#.....#.#..#......#.......#......##...##.#...#..#..#..#....#.#....#.#....#.............#....#..##.#....#..#...#.......#............#......#....#...........#.#.#........##......#..#.#.........#...#........#...##.#....##.....#.....#.....#.#.#...#...##.....#....##..#....#..#...#.......#..#.......##.#...#...#.#....#....##..#.#....#..#....##......###.#..#.....#.#.....#...#...#.....#............#..###..#...........##...##....#........#........#..#
..#.#.#.##.#........#........#....#.#.#..#.....##...#....................#..###.....#..##.##.#....#.#........##...#....#.....#.##....#..##.#..##.#.###.....#...#......#......#...#..#..#.....#.....#......##........####........#......#..##.....#.#..##...###..#..#......#...#.#.#........#.........#...#.#..#..#..#....#...#...........##.#.#.....#....#.#.#...#.#.........#...##............#..........#......#.........#...#.##......#....###...#...#......#...#...#......#.........##...#.....######......#.#..#..#.......#......##..##....#.#..##.........##......#.##.##.#...#.....#.##....#.......##............#.....#..#.#.#...##.#.................##..#.##.#.......#...............#...#......#......#.................###...##.....##.....####..#.......#.#..##......#.....#...#...##..#.#.....##...#.#...#...#...##....##....##..#...#...#..#.#......#..#.#.#...#........#...#.......#.##.##..#...#........#...#####.##..#.#..#..#..##.#.........#...##...#.#........#....#...........##.#..#.##......#...##.........#.
#.#.#.##...#....................#.#.#..#.#.....#....#..##..#...#.........##.#.......#........#........#..#.#.#.#.#...........#.##.#.......######.#...#.....####..............#.........#.....#..#..#..#..#.#........#...........#.........#.#....#.#..#.....##..#.........#...#....#..#....#......#.......#..##..........#......#...####...#.....#.##...##.#.....#.....#....##...#...#..........#...#.....##.#...##.#.##.......#.#.........#.......##...##.#..###..#.........#....#.....#.....#..#.####....#...#.#.#...#.#.....##...#.##..#.....#...............###...#....#....#..#......#.##....#.#....#.#...#.#......#.#.......##...............#..........#...#.#.................#..........#.#......##.....##....#..#..........#...#......#......#.###.#..##.....#......#..........#..##....#.#.##.....#...#.#.#.....#...#.#...##....#........#.##..###.............#.####.##..#.............#.##.#.....#....#...###.....#....#....#.....#..##.#..#.....#.......#.................##..........##.#..#.##.#......#.##.#.....#.#.
..#.#..#.................#......#...#....#.##.......#.##...#...#............#.#.#..#......##.##...#.#.#..#.#..##.....###....##.#.....#..##.#.....#.###...#...##.......#.##...##..#..#..#.....#..#.........#.........##.#.......#.#.....#..#.###..#..............#..##..#.##........#..#...#..........#...###.###.#...#..........#....###....#.#..#..#.....#.....##..........#...##...##........#.#.#..#....#...#.......#.............##..#.#....#.......#..#..##..#....#..........#......###...........#......#....#.#...#......#.....#..##.......#...#.........#.#.......#........##.....#........##........##.........#.##.....###.#.........#...#..........##..#.#.............#...#......#.#.#.....................#..........###...#.#......#.......#...#.......#....##......#.#.##.#..#.#...#...##...#.....#.#...#.......#.#....................##..#.........#.#.#.#.##.#.##..#.#.#..............##.........#..#.#....#.....#........#......#.....#.....#....#.#...#.....#..#.....#...............#...#......#.#.#..#.....#.##
#...#..###...............#.#.#..#.#...#..#.##.......#..##.............##.##.##...#.##..##.####.............###.#.##..........#.##.##.#..###.#.##....#....#.....#.............##.....#..#...........#....#.#...........#........#.#.....#...##.....#...#......#..#......#........#..#..#...#.......#........#..#......#...#......#....##.............#........#..##.#...#.....#..##...#.....#....#..##.#........#....#.#....#...#..#...#....#..##..........#.....#.#...........#...#...........#....##..##..#..#..#.##.......#......##...........#.#.....#.#...#..##...........#.............##.....##....#.#.###.....#..#..#.......#.#...##....#...#.....#....#...#..#..#.#.......#..............#.........#.....##...##..........##......#............#...###............##..#.....#.#......#..............#........#.....#...###.............#...##.....#.#.......#.#.....##.#.....#.#........#.....#.###.....#..#..##......####.##...##..#......#.#.......###......#...#.....#..###..#...........#....##.#..#....#...#..........#.
.##.#..#...#.....#..#......#......#....#.......##..##.##.......#......##.#.#..#....#....#..####...#...#..#.#...#.#....#...........#..#.......###...###...#.####.........#....##.....#........#..#..#.....###........#..#...................##.....#....#.#.#.#..#..##..#......#....#..#....#......#..#...##..###.#..##...#...#..#....###......#..#.##...#..#.#.....#...#.....#...##............###..#.#...#..#.#.##...##.........#.#.##..#.#..#.##.......#.#..#...............#...##......#..#...#.###.#...#..#....#...#....#......#..##.#......#.#..##...#.....#.......#.#...#.#..#......#..#.....#.....###..#..##.......##.......#.#......#............#........#.....#......#..#.....#......#..........#......#....#.....#.....####..#.#......#.....##........#...#.#...#........#.###.....#..#.....#.....#...#.....#.........#...##........#...#...#...#.......#..#......###.#.#.#.#.#.#.......#.##.....#.#....#.....#........###....#...#.#..##.#...#..........#.#.#.#.....#..#....##.............#.##....#....#.#..#.#........#
##..#...#..#........#....#..........#..#...##..##...#.#.#..#...#..............#.##..#......#.#....#...#.....###..#...###....#..##.......#...#..#.....#...#..###........##........#..#..#.....#..#.......#.###........#...........#.........#......#....#...###......#..#..........#........#......#..#...###.#.#....................#.#.....#....#.#....#....#.........#....##..#...............##.#..#...#............#...#...#...#.....#.#...###..#....###..###......#..................#..#.......##.#........#.##..#.......#..........##....#.....#.#.....#..#....#......#......#........#....#.#....#.#.#.#.##..#..#..#..#..###.#...#.....#.#.#.....#....##..#.#..##.........#..##.#.....##..........##..........##..#.#.....#.#..#.##.....#.........#.##..#.............#...#....#...#.......##.##.....#.....#.......#...#.#.........##..#...##.##....#......#....#...#....##....#.#.#.......#.##.#.#.#.#....#...##....#....#....#.......#..#..........##.........#................#..........#.......#.......#...#..#.........
#.#.#..##........#..#....#.#......#...#.....#..#...##.#.#..#...#......#...#.##..#...#..##..##.#.....#.#..#..##.......#.......#..#.#.......#..#...#...#.......#.#......##.#..........#..#................#...........####.......#.#........##.#....#........#.#..#...#.##..#.......#...#...##.........#.....#.#.#....##.......#..#.....#...#...#.....#........#..#..#........#...#.#........#...##...#.#...#..#.#.##...#....#...#..#..#...#.#..####.#.....###..#.#.............#.........###..##....#.#.....#.....#.###.#.#..#..##..#...#...#....#.#..##.#........#........##.#.....#......#..#.....##....#.#.##...#..#.....#......##......#....#.#............#......#....#....#..#..#..#....#...#...............##....#...........#....#.......##.......#.##.............##..#...#.#.#.......#...##..##....#....#.....#.......###....#....#.......##......##.........#.#....##..#.#.....#.........#....####.......#...#.....#.####....##...#..#..#......#...#.....#..#.........#....#...#..........#..#.......#....#......#........#
.#....###..#.....#..#...........#..............#...#..#....#..........#..####...##.....#..#..#........#.......##..#..###....#...#..#.#..######.#...###......##.#......####....#..#..#..#........#..#....##..........####.......#.#.....#..###.#...##...#............#.............##......#..........#....#..#.#.#...#.......#......###..#....#..#..#....###....##.#...#....#...###..#.....#...##..#..#...#..#...#..#......#.....##...#..#.##...##..#....##....#.............##..........#.#.#......#......#...#...##....#..#...#..#..##.#.#......#..#........#...#...#...#.....#..#..............##.....###.#....#...........#..###.....##....#...#.....#....#.....##....#.............#....##..#........##.....##....#..#.#......###..###.....#........##..#..#......#..#...#...#...#.##...#...#.##..#....##...#...#..........#..........##..#....#.##...##.......#.#.....####..#......#.........#.#..###.#.#....#..#..#...#.##..##..##......#..##.#...#...#.#...#..#.#...........#...#...........##......##.#....#.#..#.........##
###.....#................#.#.#..#.#.#..#.#.##..#...##..##..#...#.........###..#.#..##..#....##..............#.........##....#...#.##....#.#.###..#.##.......#.##.................#..#..#..............#..#.#........#.##.........#........#..##..#.....#.#.#.#..#..##.##.##...#.#.##..............#..#.....#...#.....#.......#..#...##.#.####.#..........#.............#....##...##..##....#.....#.##.#.............#......#.....##..##.....#..##..#.....###..#.#............#............##..#........#.......#.#.#.#......#...#.....##.#........#..#....#.....###...#......#.....#........##.....#.......#.###..#..#..#.##.......#..#..##.#..#.........#..........##.#................#....##..#.#......#......#....##...........##..##.......##.....###.###..#.........##..#.....#.###..##...#.##...#...#.#...#...#.#...#...#......#....#...#....#.....##.......##...#.....#......#.............#........#.#....#..#.#....####.#.....##..##.#.............###...##...#.......#...##...#..........#.......#.........#.#..#.....#...
.......##........#.......#.#....#...#.##...##...#..#..###..#...#.......#...###..##.#...#..###.....#...#..#....##.##...#.....#.....#......###.#......#........###......##.#...#.........#.....#..#.....#.....#.......##.#.........#........##..#..#....##.#..##..#...#.#..#....#....#..#...##.........#...#...##..#...#.......#..#...#.#...##.....#.#......#..................#..#..........#...#...#......##.#....#...##...#.......#.....#.##.#.##..#...#.##......##.........##...##.......#.#...#.#..###..#..##...#.....#......#...#.##.#........#..#..#.#.....#.#.....#.....#...........#.#......#...........#..........#...#..###.#...##...................#.....##..#.#....#..#..##.......#..#........##.....#....#.....#.......##.##........#.....#..###....#...#........#...#....###..##...###..##....#....#.........#...###...#.........#...#..#............##.#.#...####.#.#.#.#.#......#..#..#...#.#...#..#..........#...###..##...#.....##.#..#....###......#.#...........................##.#....##.#.........#.......#..#
#...#.###..#.....#..#...........#.#...##...##..##..##.###..............#..#####..#..#.....##.#...........#.....#..#...#........##.#.....##.#.#...#.###.......#.#........#....#...............#..#.....#.####..........#.........#......#...##.#...#........##......##..#.#....#.#.#...#...##.........#...##..#.#.....#...#......#.........##.......##....##..#..##.#...#....##..#.....#........##...#.#...#..#......#.#........#.#....#....##......#......##..#.#......#.....##....#....##.#..#......#.#.........#..#..........#...##.#..#.#....#.....#.#.......###...#.#....#.....##.....#.#............##..###.##.......##.......#.##..##......#.#.....#....##....#..........#......#.#....###...#.............#....#.....#.......##..........##.....##...##..##.........#..#...#.#....#.###.........#...##....#.....#...#..........#....##..#.......#....#.........#......###.##....#.............#...#....#.#...............#.#.....##..#.....##....##...##.....#.....#.....#..#....##.............#.#.....#.........#.......#.##
..#....###...............#..........#......#....#..##.#.#......#......#..####...#...#...#.###.#...#.#.................#.....##.#.....#..###.#.#..#..##...#.####...............#.........................#####.........##.......###.....#....##....#....#.#.#.#........#..##.....#.#.......##......#..#.........#.#..................####..#........##........#...#.....#.....#..##...##........###.#......##...#...........#...#.#...##..#..#.###..##...#..#..#...#...............##....#.#...#....#..###..#...#.#.....#.#..#..##.........##....#.......#.#.......#.......##.#..#..#.........#....#.#.....#...##.#........##.......#.##...#....#.#.#...........#....##.#..#..........#.........#.#.#.............#........#.#......###.####..............##.#........#.....#..#.....#...#..##....###...#...##....#.#.#.#...#....##.........#..............#.#.......#.#.#........##..#.#.#.#....#..#.....##.#...#..#....#....#######....#....#....#..#..##...#.#....#...........#....#...#..........##.#.##..#........#..#.#........#
.##.#...##.......#...........#......#..#...##..#....#..#...#...#......##..#..#..#..#......##..........#..#.##.........#...................#..#.#.....#...#...###......#..#...##.................#.....#..#.#........##.#.......##...........###.......##...##...#..#..##.#.........#..#...##...............#..##.#...................#.#.#.#..#..#.#......#........#...#.....#...#...##....#.....#....#..........##.#.#........#..##.#......#...#..##....#....###.##...#................#..#.##..#.#.#...............#................#...#.....#.....#.#.#...#.....................#.......#.....###........#.#.##...........#..#...##..##.#..#.#.#.....#..........#...#............#..#....#.....#......#...........##..#.......###.....#............#....##..#.........##......#.#.##.#......##.....#...#.....#...#.....#...#.....#......#.......#...............#.#.#...#.....#....#................#####...#..#....##...#...#.#....#...#..#...#.#..#......#...#......#........##....#...........#.......#......#..............##
###.#.##.#.#.....#.......#........#.#.#..#.....##...#.#....#...#...........##.#.##..#..##...###.......#..#.#..#...#...#.....##.##....#........##.....#...#..##........###....##..#..#..#.....#........#.............#.#.........#......#..#...#....#..##.#......#.....#..##.....#..#......#..............#...###.#..................#.#...#...#.....#...#..#....##.#........##...##........#....##..#.#....#.#.#.......#...#.....##..#...#.#...##..##...##....##..##.........#..........###..#.....##.###..#..##...#.#...#.....##...#..#.###......#..#..#.#...#..#......#.....#....##.......##....###......#.##..#........#...#...##..#.....#..#.........#....##....##..#.#..........#.......##...........##......#....#............#...###.....#.........##.....#............#...#.#.####.###..#.#...##.........#.........#.........##............##..#..###......#....#....#.#..##.#.#.#.#.......#......###.#.......##.#...####.#.........#..#..##.#...#....##...##.#.#.#.....#........#..........##....#.##.#....#......#........#
#.#......#.#.....#...........#....#...#........#...#..#....#..........#...###.#.##.#...##...##......#.#..........##..#......##.#...#.....#####.#...#.....#.#.#.........###....#..............#..#..#....####........#..........#............###....#...#...###..#..#..........#.#..#..#...##..............##.###....#...............##.....##.#..#.##....##.....#..#........##...##...#....#.....#.#......#..#.#.##.#..#.......#..##..#..#.##.#.....#...#.....#.#.##...#...........#.....#.#.......##.###..#.....#...#.#.#..#...#...#....#.#..............#...#.##....#...#...#....##.....#.##......#....#....#.........#.........#..##.....#....#.#.....#.....#.......##.#....#..#.....#....#...#.#..............#................#...#.##.....##.....#..#.#........#....#.........#.###....##...#.#.##....#......#.#..........##..........#..#...#......###.......#...#.#.#.#..##..#.#.#.#.......#.#..#..#....#..#...###......###.....##...#.....#.#..##...###..........#........###..#....................#.#......#.............#
#.#...#.............#...........#.#.#.#....#...##...#.#.#......#......##.#..........#...#.##.#....#......#....#...#..##.........#.#..#...##..#.#.#...#...#....#.......#.##...##..#.....#..............#..##.........##.#.......#.#.....#..#......#....##.....#..#..##....##...#.#.........#.......#..#...##...##.#..#....#...#..#....#.#..##.....#.#.....##..#...#..........#....#...#..............#.#........#.#..#.............##..........#....##....###..###.#..........#....##.....#...........#.#.........#.#.....#.....##..##..#...#.........#..#.....#.##....#.#.#.....#...#.......##......#.....#...##.....#.............#.#......#....#.......#....#...........#....#..#..#...........#........#.......#....#....#.....#..#.###......##........##.#............#...#...#...##...####..#...............#.............##.....#....##..#...##.#...###.........#......##..........#.#....#..#.#...###.......#..........#..###...#.#...#.....#.........#..........#.#..........#..#............#...##.#...........#........#.##
#.#.#..#...#.....#..#....#...#..#.#.............#.....#.#..#...........#..#####..#.#...#..##.##...#...#..#.##........##.....##..#.##.#..#...#....#.##....#.....#....................#.................#.##..#.......###..........#.....#..#.#.#..###...#.#..##..#..#..##.#....#...#........#......#.......#..##......#.......#..#...#....#..............####.......#.............#...##....#...#.#....#..........##........#......##.#......#.#.##......#.#....#..##.........#....##.........##..#......#..#.......###...#..#......#..#..#......#.#..#..#.......#.....#.#..#................#.....#.......#..###..#.....#.#.......#..#...##...................#.....#..##.........#..#..#....##..#...............#....#...#........#...##.#......#..............#.........#...#...#.#.#..#.#.#..#..##.#..........#.#.#.....#....#.....#.....#......##..#....#.............#......##..#.#.#.#.......#..#.#.###...#........#...#..#.###..###...#.#..#..#..#.....#.....#.#...#.....#..#.#..#.................#.........#......#.....#.#.
....#.##...#.....#..#....#.#......#.#.##.#.#.......##......#...#......#..#..###.#..#....#.#####.......#......###.......#.....#....##.#...#..##...#.###.......###......#.#....##........#.....#..#..#......#.#..................##......#..#.#.#..#....##.#..#..........#........#..#.....................###.............#......#...#.##.#.##.#....#......#..#.....#...#....#...#...............#..#.......#......#.#......#...#.........#....###...#...###...##..##...#.....#...........###..#..#.#####...#.....#.#...#........#.....##.#......#....#........#..#........##..#.............##....#......##..##......#....##.....#...##...#.#..#.#.#.....#....#......#....#....#..#..##.#....##..#........#...........#...#.#.....#.##.####...............##....#....#....#...#...#...###..#..#.###...##.....#.......#.#.......##.....#.....#......##......#.......#..#.#.#.##...#...#.#................#..#....#..#...........#.#.##...##.....#...#.#...#...#......#.#...#.........##..............#..#.##.##..........##.......#...
.##.....#...........#....#...#..#........#..#..#...#..###.............#....#.##.#..#...#..#.###.......#.....##........##.....#.#...#......##.....#...#......#.#.........#....##..#..#........#..#..#......#.#.......##.#.......#.#.....#..####.....................##..#..#...#.#..........#.........#...........#..##.......#.......##...#.#.#..#.##...#.......##.....#....#....#...##........#.#.#..#...##........#.#....#......#..#........###..##...#.#...###............#..........###...#....#..###..#..#..#.#...#........#...#......#......#.....#.....#..#....#.#.#..##...........#.##.....#.........#.#.#........#.......##.##..#.....#..............##....##.......................###..........#...........#.....#.....#..#...#......##.....#....#...##...#........#...#...##.#..#....##.#..#...#.#...#.....#........#.....#........#...##..#..............#...#..##..#.......#............#...##.......#..##.#...###.##......#.....#........##..........#...#.#.....#..##...#..............#.....#........#.##.#.....#...
#.....#..#.......#..#...........#.#...##.#.#...#...##...#..#...#......#..#.#....##.##..##.###.....#...#..#.#..##..#...#.........#.##.#..#..........##....#..#..#......##.#..........#........#..#..#..#.#####........###.......#.......#..#...#....#...................#......#...#........#.........#....#...#..#..................#....#..#.#..#.#....#.##.#..##.....#....##..###........#...###........#..#....#........#.....##..#...#..#.##....#...#.#...###.#................#....#.##.........#........##.#.#.....#......#..##.##...#............#.....#.##......#.##.##.#..##.....#.##....##.....##....#.##..#....#........#..#.....#..#.#.............#.....#.#..#.......#..........#............##.....##....#.............#....#.....##.......##.##..##...#.....#......#.#....#.#.##.....#..#...#...........#.......###....#....#..........#...###......##.....#.###...#....#...#............#..##...#......###...#..#.#.....##.....#...#.#..##...#.#...#..#...#.....#..##...##...........#.#.##.#..#........##.#.....#.#.
##..#..###.#.....#................#...##.......##...#..##..#...#......##......#..#.##..#..##..#...#...#....#.##..#...#.#....#...#.........#.###.....#....#..#..#......####....#.......................#..##.........#..........#.#.....#...#..#..##......#...#..#...#.##.#....#.#.#...............#..#.....#.........#.......#..#...#..#...##.#....#.....#.#.#.....#...#....#...###..##............#......#..#...#.....#...#......##.....#..#.#....#.....#.....#..#...........#...#......#...##....####.#..#..##...##....#..#...#......#.#......#................##...#.#.##.##.#.........#........##.....#..#....#..#....#...#......#...##........#..........##....##....#....#.....#..#......#.#.........#......#.......#.#.....#.#..#...............#..##....##...#.....#............#..##...#.#.#.......##.....#...#...#....##....#.....#......##.....###......##.#.#.#..##......#..........#....##.#####...#.............###............#.#..#..#..#....###...##.#.#.#........#.#...#...........#....#..#..........#........#.#.
##....#..#.......#.........#.#..#.....##...##...#..#..#....#...#......##....#...##..#...#.#.#..............#.###.....#.#....#......#.#..##..#..#....##...#...#.........#.....##..#..#..#........#..#.....###........####.....................#...#..........#...#..##.#............#......#.......#..#...##...##.#...................###....#......##....#.......#.#.........#....#...#........#......#......#........#....#...#.##..#...#.....##.......##.#......##...#..........##.....#...#......#...#..#..#..#.#...#.#..#...#.....#..#......#....#....#.....##....#...#..#..#...#........#....##......##.#.#..#..#....##..#..##..##..##........#.....#....#...#.#...#.........#...#.......#..#........#......##...#.............##.###......##......##.#.....#...#.#..#............###...#......#.#..........#...#.#...#....##...#.............##.##..#.#......#........#.#...##.#...#......#....#....##...........##....#...###...###.....#...#.#..##.....#....#...................#...........#..#.##..#.#........##...........
#.#.....##..........#...............#..........##...#...#..#...#......##.....#..##.##..##..#..#...#...#....#.#...#.............#..#.......#...##.#...#.......##..............#...#..#..#.....#..#..#..#..#...........###........#.........#..#....#...##...##...#...#.##.##.....#.#.......##......#..#...#....#..#..#....#..........#.#....##....#..#......#....##.....#....##..##...##....#...##.....#....#.....##............#.##..#.........###.#....####...##............##...#.....##....#.....###.#..#...#...#...#.#.....#...##.##.##.......#.....#.....#.#.#...#....#.......#......#.##......#....#...#..........#.#.......##.##..##........#..........#.....#.....#.......#...#.#..........#..................##..#.#..........####.....##......#...##..##.....#..........#...##...##.....#....#.........#...#.#...#....##...#......#..#....#......##.......#.#...#...#........#.#......#..#.##...#...#....#..#..#.....#.#.##....#.....#...#....##.........##.#.#.#.....#..###...#..........##...##....#......#....#.....#..#
#.....####.......#.......#........#...#........#...#...#..............#..#.##.#....##...#.#...#...#......#.#.#.#.....#......#..#...#.....#..##.#....#....#..#.#.........#....##.....#........#..#.....#...#.#........#.........#.#.....#..##.#....#......#.#.......#......#...#.#.##......##......#..#...#.#.#.#.....#...#...#........#..##.....................#......#.....#..###................#..#....#.#....#...#....#......##.##..#.#..####........#...##..##.........##....#....#.....#.....#####..#...#.#.#...#.#.....##..##.##...#....#.....#...#.......#...#...##.##....##.....#..#......#.....##...#..#..#....#......##......#.........#..............#.##.#..#....#..#..##.#....#.#...#.......#...........#............##..........#......#.#.#.#.......#........#.....#..#.#.#.##..###.......#...............#...##.....#........#....#..#..###......##.....#.#..#.##..#...#.#....#..#......##....#..#..#.##....##.###.........#....##....##...##.....#..............###...#..........#....##.#.......#....#.#.....#..#
#.#.#.#....#........#....#..........#....#..#..#...............#......##.##...#..#......#.#####...#......#.#.##..#...#.#.....#.##.#..#...#.#..#..#..#....#.#..##......####....#..#..#..#.....#........#....##........#...........#.....#..#..##....#...#.#.........##.#..##...#.......#...#.......#........#.#.#.#..##...#......#...#..#....#......#....#..#....#..#...#........#...............#..##..........#.#....##.........###.#...#......#.......##.#..#.#..#...#.....##....#....##.#.#...#.#.##.#......#.#.##..#.......#...#.....#......#.#.............###...#.#.#.....#..##.....#.#.....#......#.#.#.......#....#...#.......#........#...............#..#.#..#..#..........##........#.#.#.............#....#...#.......#.#...#........#........####..##........#...#.....#..##........#.##.......##...#.#...#...#....##...##.....#..#...##.....###......#..#.....#....#.#.#.#...#....#..#..#....#....#.......##....##...#....##........#..#..#....##....#....#...........##..#................##.##.#........#........#.##
..#.#.#..........#.......#.#....#.#........##......##..##..#..........#..#..#......#...##.#...#............#..##.##....#....##.##..#.#....#..#.#.#..........##.#......##.#...##.....#..#.....#.....#..#..###...........................#..#####...#...#.....##..#...#.....#...#.#.#.......##.........#...#...##.....##..............#.#..#.##.#.....#.....#..#..#......#....##....#........#...###.##.#...#.......#.#.##...#...#...#..#..#..#.##.#.##...#.##....#..#...#.....#.....#.........#...#.#.#.##..........#.#...#......#..##.##.##.......#.............###........#..#....##.............#......#.#.#.#.#......#..#..#....#.#....#.#..#...#...........#..#.#..#..............#.#....###...#......#......#....#.....#......#...##........#.....##..#.#.........#...#..#.....#...##.#......###.##...#.......#...#.......#.#...##....##......##......#........#.#.#.#.#.....#..#.#.#.#....#....##...#.#......#...##....#..#...#...##..#.....#..#..##....##...#..#.#.#.........#...#..............#.##..#..........#........#.##
###.....#........#.......#.#....#.#.#..#.#.##..##...#......#...#......#..###.#..#......##...###.....#.#..#.#.#........#......#....#.....#...##.#.#.##....#.##.##.......##.....#........#.....#..#.....#..#..#.......#.##.......#.......#.....##...##...#...#.#..#.....#...#.....#.#...#...................#..###.....#...#......#...###....##....#.#....#....#..##.....#.....#..##...##........###..#.#...##...#..#...##...#.....##..##..#.##.#..#.##...#.....#...#....#.....#.....#.....###.#...#..#.###..#..#....#.....#.....#...##..#.#......#.....#...#.....#.#..........##.....#.....#.#......#.....##..###..#.....#.##..#...#...#...#......#.............#....##..#.#....#........#....#...#.#.......#.....#....#...#.......#.....##.......#.........###..##.....#..............#.....###.#.#...##...#.#...#.#............##...#.....##..#...##.#...##..........#........#.#.#.#.....#....#..#.##.#.....#....#..#.##.....#...#...###...#.#..##.#..#....#......#...#..........##....#...............#.....#....#....#...........
.##...#.##.......#.......#......#.....#..#.#....#..##.###......#......#..#...##..#......#..#.##...#.#.#..#..##.......###....#..#..##......####.#.........#....#.......#.#....##.....#..#.....#...........#.##.......###.........#.........##.#....#.........##..#.....#..#....#...#.......##......#..#...###...#....##...#......#....#.#.#..#.#.....#...#..#....##.#...#....#....#...#..........#..##.#...#....#....#.#...........##.#.....##.#.##..#....###...##..#..........#....#.....#.#..#..#..#.###..#...#.#.###.#....#..##.....##.###......#..##.#...............#.##.#.....##.......##......#....#.......##...............#.........#..#..............#................#........#....###.#........##.....##...#.....#.....#.##.#........##......#...##.......#.#...#..........#.#...##..#..#..##...............#...#...#.#.................##..#..#........#..#...#..###.#.#...#.#......#....#..#.###......#.....#...#.#.#......##..##....##.#.......###....#.#...#.....#..###...#..........#..#..............#.##.......#...
#.#.#.#.##..........#....#.....................#.......#...#..........#..#...##.#..##.....##.#........#..#....##..#....#.............#....#....#.#.##......#.#........#......#.........#...........#......##.....................#.....#..#####....#.....#.###..#..##.....#........#.......#......#........#..##.#..................#.#...#......#.......##..#..#..#............##...#.....#.....#..#.#........#.##.#..#...#......#..##..#.##.####..#....#.#..#.#.##...#......#...#........#.#...#..##.....#..##............#......#..#..###......#.....#.....#.#.....#......#..............#......##....###.###.##..#....##..#...##..#..#..#....#..................#..#.......#..#...#.#....###..........##.....##....#..#.#.....#.##..###.....#.......#.#.##.......#.#..#...#...#.#.##....###.#.##..##...##..........#...#....##...#......#.......#.#............##..........#.#.....#........#....#....###.#.#.....#.#....#...............#.#.........#............#...#.....#...##..##..........#..#....##.#....#............#...
#.#...#.#..#........#......#.#..#......#.......##...#.#.#..#...#......##...#..............#.###.......#..#.#.#.#.....###....#..##..#.#..##.#.......###......####.......###...##........#.....#..........#.#.#........###.......#.#.....#..#..##..##...#.....#...#.....#..#....#....#......#.......#......#.#.###.#..#....#...........###..#.#....#..#...#.##.#...#.....#....#...###........#.....#..#......#...#.#..#......#.....#.#..#....##..###..#...#.##..##.............##.....................#..##.....##...#.....#............##..##....#.#..##...#...#...#...........#...........#.#.......#....##..##..##..#..#.##..#....#..#..#..#..#.#.............#.......##............##......#.....#..............#...##..#........##..#.##.....##.....###..#........#.....#........#.#.#...#....##.........#....#.#............#....##....#...#...#..##....#......#....#.#...##...#.......#.......#.#................#.##...#.##.#.#..##..........#....##...###...##.#.#.......#...#....#..........##.#.#...#......#.#....#........#
.##.#.###..#.....#..#....#...#......#.#.....#..##.....###..#...#.......#.........#.##...#..##.....#...#..#..#.##.......#....#..#.........##..#.....#.#...#.###........###....##..#..#........#..#..#.....####..................###........#..#...##...#..................##...#....#......................##.#.#.#..#...........#....##...#.#...........#.#.....#..#...#....#...#.....#....#........#......#.#...##........#...#.#.........##.#..#.#....#.#...##...#..........#....#.........##....#.#.##..#...#.....#.#...........#......##....#....#..........##........#..#.....##.....#..#......#....#.#......#..#.....#..#...#..#....#.#....#.#.....#.....#..#..#.........#.....##.#......#.#.#......#.......#....#..........###...#.......##......#..#....#......#............#.#.#..#.##.#.#.#..#...#.#...#.#.#.....#...#.....#.....##.......#.....##.......#....#....#....##...#.#.#..........#..##.#...........##.....#.#.##..#.....#.#...#.#...#...###..........#.....#..###...#..........##.#.##.##.#....#.#..#.......#..#
.#....##...#.....#.......#.#.#....#.#.##.#.#...##..##.###..#...........#.##.#...##.....#.....##...#.#......#.#.#..#..##......#.......#..##...#.#...##........###.......#.#.............#.....#.....#..#..####.......###................#.....##..#.........##.......#.#.........#.##..............#..#...#....##.#...#...#...#........#..#..#.#..#..#....##......#.#........#....##...#........##...#.#...##.#.#.#.........#...#.#.......#.....##..##...###.....#.#................#.....##...#....#.##.#..#..##.#.#.#.#.#..#.......#.##........#.#..##.......#.#.........#...............#.##....###....###.###.#...#.....#.....#.......#...............#....#...#.#..##.#..........##......##..#........#......#........#.#.......#..#.........#......##......#....#.#......#.......###........##...##...#.#.........#........##...##.....#..#...##.##...........#..#...#.#..#.##........#.........#...#.#..#........##.....##....#...##...#....#..#...#...##....#..#.#.......#....#..#...........#..#.#..#...........##.........##
.......#.#.......#..#.............#.#..#.#..#..##......#..............#..##.....#...#..##.#..#....#.#....#.###.#.##..###....#..#..#.....##..##.#.#.##........#..........##...................#..........###.#.......#.##........#......#..#...#....#.....#.###..#......#.##.....#..#..#....#.............#.#.##..#..##...#...#..#.....#..####.#....#....####.#..##.#.........#....#........#...#...##.............#.#..#...........#.......#....##..#.....#........#.........#..........##.......#..###.#........#.#.#.#.#..#...#.....#..##.....#.#..#........#..#....#.#.....#....#......#..#.....##.....##.#...##..#........#...##......#.#..#.#.#...........#..#.#..##......#..#.....#....###.#........##.....##...##..#.#......#.#..#.......##.....##....#.......#....##......#.#..###.#....#...#.......#......#...#...#...##.....#....##..#....#.....###...........#.....##.#.........#....#....#..#.#.#.#.......##.....###..#.#..#....#..#..##.#...#....##...##...#............#..#...........##......#..#....#....#.#.......#.
##.....#.................#.#.#..#..............##..##.................##.##.#.#..#..#.....####........#..#.####..#.....#..........#..#.....##.#....##......###.#........##..........#........#.....#..#..##..........##................#..####...#.#.........#.....##.#...................##......#......##..###.....#.......#......##........#....#.....#.#.#..#..#...#........##.........#.....#..#.#........#.##....#.......#.#.#..#..#.....##..##....##...#...##...#.....#....##.....#.#.....#.#.#..#.....#......#.#.#......#...#..#..##.........#..#.......###.......##.......#......#...............##.#.#.....#..#.##......#..##........#...#..........##....##.#..#....#..#..#..#.....#....#.......#...........#..........###..#........#......#..####...#...#.#...#......#.#.##.#.#......##...#...#.#...#.....#...................#...#......##..###......#..#........#.#.#.#.#...#....#..#..#..##...........#..#......##.......#..##.#..............##...##.#.........#.......#...........#.......##........#.##.......#.#.
....#.#.##.#...............#.#........##...##..##...#.##...............#.##.#...#..#...##..#.#....#.#.#..#....#...#...#......#.##..#....#####..#............#..........##....##.....#...........#..#.......#........##.#.......##...........#............#...#..#..##..#..#...#.#.#...#....#..............#..#.......#.......#..#....#.#.####.#..#.##....#.#.......#...#.....#..##....#........#....#.....##.#...##..............#....#....##..###..#...#.##...#..............#...#........#.##..#.#..#.#..#...#....##.#.#..#......##....###....#.....#.#.#...#.##....#....#....#..##.....#.#.......#.....#..###.....#..#........#...#...##....#.#.#...........#....##.##............#..#....#.....#..................##..#.......####.##.#.....##.......#..#...##...#....#...#.......#.#.......#..##................#.#........#....#.....#.......#..#.....#......#....#...####.#.#...#.#.#....#....##..##...#.#..#...#.#....#.#####..#....#..#........##...##.....#.#.........#...##..##.............#.#..#..#......#.##.#........#
......####.......#..#......#....#...#.##.#..#..##.....##...................#....#...#...#.####....#.#.#....#.##..##...#......#..#.##.#..###..#.......#...#...#........##.....#...#.....#........#..#....##.............#.......###.........###...#....#..#.#...........#.#....#....#......##......#........#.##.....#....#...#......##.#.#.#.....#.#......#........#........##..###..##........##...#......#.#...#..#..#...#...#.#.#.##..#.##.###..#....#..#....#.#...........#.........#.#..#...#.##.#.#........#...#...#..#..#....#.##.###....#.#...#.......#.###...#.#.##....#............#....#.#..........#.....#..#.........#..#...........#.......#.....#.......##.#....#..#..#.........#.................##....#...........#.#.#.#.......#.........##....#...#.#......#...#.#..#.#.#.##..##.#.#....##....#.#.#.....#...#.....#.....#........#.#............##.#...#.#.##.......#.#.#..........#..#..#.........#.#.......#......###........#............#...#..#.#.#.....#..#.#...#..........#.....#....#......#.#..........#.
###.#..###.#.....#.......#.#......#...##....#..#...#...........#.......#.#.####..#.....##.##.##...#......#..##...#....##.....#..#.##.#....#..#.#.#...#...#..#.#........###.........................#..#..####........##........##.........#..##...##..##....##......#....#........#...#...##.............#...##..#..#....#...#.........#..#.#.#..#.#.......#.....#.#.........#..##....#........#...#.........#.#.#.........#.....###.##....##......#............#.#..........#..........##.#..........#............#.#......#...#..#..#....#....#.#..#...........##...#.#.#...#.#..##.......#.....#.#.....##.#.#.##..#..#..#..#....#..#............#...........#..#.##.##......#..#...#.#....##....#.......#..........#.....#.....####.#.........#.......##.##..#......#...#..#.....#.#.##............##...##....#.#.#.#.......#.....#......#..#....#.##..###.........#...#.##.......#.#.#......#....##.###.#...#..#...##.....#..#.#...#....##.#...#.#..##....#.....#.#.#............#..............##..............#.#....#.......##
.##.#.#....#........#......#.#..#.#....#...#...##..##.#.#..#...........#....###....##.....#...#.......#..#.#.#...##...##..........#..#..########.#.#.......#.##.......####..........#..#........#..#.....###........#...........##.........###...##....#........#..#..##..........#...#...#..............###.##.................#...#.........#....##...##......##.....#....##.....................##.#......#.#....#..#.........#.#.##..#..#....#.#......##..#.#......#......#...##..........#..#..##...........#.#.#...#..#...#...#.#..#........#...#.......#..#......#.....#.#..##.......##....##.....###..#...........##......#......#..#..#.#............##....##.#.....................###.#.#......##......#....#..........#..#.....................##....#...#............#.....##.#.##.###...#....#.....#.............#.#....#....##..#.......#...#.......##.......#........#.#.#.#.......#.##.#..........#..#.##...####.#.#....#..##.#..#..#...#..............#.#.....#...##..............##......##.#....#.#..#.........##
#...#.##...#.....#.......#.#....#.....##....#......#...........#......##.#####..##.....##.#.#............#.##.#........#.....#.......#..#...#....#..##...#.#####.......##....##.....#...........#..#....#####........###.......###.....#..##.#....#........###..#.....#..##.....#..#..#..................##......#..............#...#..#.#.........#....##...#...#.#.........#.................###........#..#.#...........#.......#.#...#.....#.#..#......#...##.#..........#....#.......##.#...#....###..#..#..#.....#.#..#..#......##........#....##...#.....##......#.##.#..#..#.........#....#.#.....#...#..#...#..#.##..#..###.##...#......#.#.....#.....#.......##.........#............#.#........##.....##................###.##.#.....#........#.#....##...#.....#..#...#.#.###..##.#...#.#.##.....#...#.....#...#....#......................#....#......#..#...#..#.#..#..#.#.#...........#..###...#.#......##....#..##.##..###...#.#.....#...#...###........#...........#...#...........##.#.....#.#....#...##..........#
....................#....#.#....#.#.#....#......#.....#.#..#...#..........##....#...#..##.##...............#..##..#....#....##.##..#.#...........#.#........#..#......#.#.....#..#.................#..#.#..#........##.#.......#.#.........##.#....#...#........#..#.....#......#..#.................#.....#.###....#....#......#....###.####.#....#....#..#...........#....#........##....#.......#..#......#.#.##.#..#.......#.#....#........##..#....##....###.#....#.....##...#.....###..##....##...#.....#.....#..#.......##..#..##........#....##.......#...#.....#....##.#...#.......#......#.........##...#.....#.#.......#..............#.#..........#................#...............#.#........##.....#....##..#.........#...#.#.....##......#....#............##..#.......####..#.#.##..#.##...#.....#.#.#.....#...###....#........#....#.#...###......##.#...#..##..........#.........#.##.#.###.#..................#..#..#.....#.....#.#.......###....#...#...........##..#..............#.#..##.#....#..............##
#.#.#..###.#.....#..#....#.#.#...........#..#..#...#...........#.......#.#.#.#...#.##......#.##.....#.#.....#.#........#....##.##.......#.....##.#...........#.#.......##....##..#.................#..#.##..........#..#........#......#..............##...........##.##.#........#...#...##.........#...#...###.#..#....#...............##...#.....#...#....#..#..#...#....#...#.#............##..##.#...##...#..#...#...........#..##.....#.##....#...##.#..#.#.#...............#.....##.#.#...#.###.##..#.......##..#.#.....##..#..#..#.#....#....#....#...#...#...#.#..#.#..#...#.....#.#.....#.#....##...#..#......#..........#.##...#......#.#..........##..#.......#....#.....##......#.#......................##..........####...#.......#.....###......#......#..##..#.....#.......#.#....##.##.....#.....#........................#.........##...#.......#......#.##.#.##......#..............##......#..#..#..#........##...#.#...#.....#.#...#....#.....#..........................................#....#.#....#........#
###....###.#.................#....#.#.##.#..#..##..#....#..#..........##.###.#......#...#..##.#...#......#..###...#....#.............#...##.##...#.##....#...##..............#...#.....#........#........####.......#..#.......###.....#...##.#..###..##.#...#..#........##.......#...#..............#.....#..#..#..##...#...#..#...#.#....##.#..#.##.....#.....##.#...#.............##............##..........#....#.##...#......#...#.....#.##.#.#......#.....#.##...#..........##....#.#...#......##.#......#.#.#.#...#......#.....#..#........#..#........#..##........#.#.....#........#.......#....#....#..##..#..#.........#..##..##....#.#................#.##.#..#....#......#.......##...#......##......................##.#..#.#............#..#.##..##...#..............#...##.#.#....#.........#..........#...#...............#...#...##.#....##.......#.....#......###.......#....#..#..........#.#..#.....#...##...##...#....##.#...#.#.......###...................##...##.............#....#.......#.#..#.......#.##
.#....#.#........#..#....#.#....#.....##...#....#..##......#...........#..#####.##.#.......#..#...#...#..#.#.###..#...##.....#.##....#..##.##....#.......#.#.#..........#.....#..#..#...........#..#.....#..#........##........#.#........##.##...##..##...#........#..#..#.....#.....#...##......#..#....#..##.....#........#..#....#.............##...#.##...........#....#.........#....#........#.#...##.#.#.#.....#...#...#.###.....#..#.###..#....#.##..#.#.............#...##....#.#..##..#.#.####.....##.....#.#........#...#.##........#.#.....#.#.....##........##.##....#........##....#.#....#.#.#.#.....#..#........##...#...#......#.......#....#...#.##.##.#....#..#.....#..........#.......#......#.......#.#.....####.###.......#.......#......##.........#..#.........#..####.#.....##...###..................#...................#..#..#.#......##...#...##.#.#.#.#.#...#.........##.##....#.#..#...#......####.##...##...#.#..#..#...#...##.....#.....#.....#...##...#..................##.#......#....#.....#.##
##..#.#.#..................#....#.#.#.##....#..##...#..##..#..........#.....#.#..#.#...##.#..##.....#.........#..##..........#..#....#..#####..#.#.#.......#..#..............##.....#...........#..#..#.#.##........##.#........##.................#.....#.#..........##..........#.......##......#.......##...#....#........#......#....###..#....#......##.#.....#........##..##...##........###.##.#...#..#...#....#....#.......#..#..#.#..##..............#...##.........#....##......##.....#.#.#.##.....##...#.....#..#..##...#..#.#.#..........#...#...#...#.......#...#.#..#......#........#.....#...#....#.....#..#.....##..#....#....#.#.#...........#....##.........#..#.....#....##..#........#.......#...##..........#.......#.....##.....####.....#....#.#..........#.#.#....####.##....##....##...#...#..........##....#....##..#.......#....#.........#.#.#.#.##.#.#.....#.#....#..#.#..##.#..#.#.....##.....#...###...###...#.....#....#....#.....#....#.#.....#...#..................#.#..##.#......#..........#...
.##...#.##.#.....#.........#....#.....##........#..##.###..#...#.......#.###..#.##.#.......#.#....#......#.##.#..#...#......##.##.##.........#...#.###...#...#........#.##...##..#.....#.....#..#..#..#...#..........#.#...................##.....#....#.....#.....#..##..........#.......##.........#........#..#.......#......#....#...##...#..#.#.....###.#...#.#.........#...##........#....#.....#...#..#...#..#......#...#.##...#..#..#.#..#.##...#.##...#..##...#......#.........#..#..#..#.##.##...#.......###...#......#..##.#..###......#...#...#...#.#.#........#.#.....#..............#..........#.#.##........#..#..##..#......#....#............#...#.##...............#.........#.#.........#...........#..........####....#......#.....#..####.......#.#..#.......#...####....#.....#..#...#.#...#...#.#...#..........#.....#.......#.##...#........#.#.....#..#.....#.#.#.#..............##..#.#..#.........###.#.#...###...#....##....##....#....#..#.#.......#..###..##..................#...........##...........
...........#........#.............#.#.#.....#...#..#..###..#.............###.....#.#...##.#..##...#.#.#..#.###.#..#....#....##.......#..#...#.#..#..##...#.###.........##....##.....#.................#..##..........###.......###.....#...#.#...#.#.......##...#......#..#...#....#......#..........#....##...#.#..#....#......#.....##.####....#.##....###....##.#...#....##..#....#.....#...#....#.....##...#.##...#....#...#...#.##..#..#..#...#......##..##..............#...##......#...#..#......#.....#....##..#.#......#..##....#............#...#...#..#........##.#..#..##.....#.##....#.#....#.#.#....#..#...........#....#..#..#..#..............#......#.#.......#........#......#...#......#......##...............####.##.#......#.....##..#.#.........#...#..#........##....#...###..#....##..............#.....#....................##..##............#.#.###...##...#.#.#....#..#.##..#....#....#..##......##.##.........#.....#..#........##....#.#...#.....#..#.#...#.............#.##.#..#....#.#....#.........
...........#........#....#......#......#.#..#......##.#....#..........##...#..#..#..#..##..###....#.#......#..##.....#......##............#.###..#.#.#...#...##.......####....#..#..#..#........#..#.....#..#........#..........#......#...###...###...#...#.#.....#......#...#.#..#..#...##.........#...##..#.#....##...#......#...#....#.#........#...#.##.#..#..#...#....#...#.#........#...###........##...#.#..#.##.......#.....##..#.##..###.#....#.#...###.##...#.....##...##.............#..#...#.....#..#..##......#..##..#..#..............#........#.##.........#....#..##.....#.#......#......##.##..##..#....##..#......##...#.#..#.#.......#..........##.##.#................................#.....##.......#.......##....##......##.....#...#.#..#....#.#..##......#.#..###.###...##.#.##....#....#.#.......#...###....#............#.......##......##.#.#.#.#..#.##..#...#.#....#..#.##.##.........#..##.....###.##.#..#.#.....#..##.#..##..........#.....#........#.....#..........#..#.#..##.#....#...##...........
..#.#.##...#.....#.........#.#......#.##...##...#..##.................##.#..#.#..#.##..##.##..#.......#....####..##...............#..#..##..##......#....#..##.#......#.......#.....#........#........#.#.#.........##.#.......#.#........#..#....#....#.#.###..#..##..#.#....#....#..#...#.......#..#...##...##.........#...#..#...#.##...##.#..#.##...#..#....#..#............###........#....##.##.....#....#.#.........#...#.....##....#..#.##..#....##...#....#...#......#.........#.#..#...#...#.#...#...#.#...#.#...........##.##.#......#....##.#.....#..##...#...#..#.....##........#............##.#.......#....##.....###.##.....#..#...#.....#.....#....##.........#.....#..#....###.................#.....#....#.......##..#.......##.....#..#............#..........#.#.#..#.#.#.....##..#...#.....#.#...#.......##.....#........#...................##.......#.##.###.#.#........#....##.#.##..#.#..#....##.......##.........#.....#..#.......#......#.#.#.#........##...#............#.#.#..##..........#..#.....#...
.##.#.##.................#..........#.##...............##.............##............#..##..##.......#....#...##.......#.....#..##.#..#..#....###.#.#.....#..##.........##....#......#........#.....#..#.####........#..#........#......#..........#....#........#...#.....#...........#...........#........#.##.....#....#...#..#.....##....#....#.#.......#.....#.#........#.....#...#.........##....#....#.....#....#....#...#.#...##..#.....#...#.......#...#..#....#..........##....#.#......#.........#..##....#..#.......##...#.....##....#.#.....#.#...#..#............#.#..##.....#.##....#.#.....##.#.......#.....#..#......#...##.#..#.#............##..#............#..#..##.#.....#...........#......##...##..#.#........#.####.....#......###......##...#.#...#......#.#...##.#.#...####..#.....#...#.#...#........#....##....#...#......##..##.......#....#.#..##...#......#......#.........##..#.......##.#.....#..###..#....#.....##....##...##....#..#.#................#...................#.#....#.#.#..........##
###.#...##..........#....#..........#.#.....#...#..##..##..............#..##.#..#...#.....#..#...........#.#.....##..###.....#.......#..#...##.#...###...#.#.##........##....##..#..............#..#..#.#.#.#..........#........##.....#.....#...##....#.#......#...#..#..#...#...#..................#...#...#.#.....#................##.##.#.#....##....###....##.....#........#.....#........#...##.#...#..#.#.##.#.#....#...#.##..##..#..#.##.#.#.......#....#.#...........#...#.....#.#..##..#..#..##.....#..#.#.#...#.....#....#.....#.....#....##.#.#...#..##.....#....#..#..##.....#..#....#......###...#.##........#.....#...#...#...............#....##....#..........#..#..##.#....#....................#...##..#.......#..#.##..............#...###..#.................#....#.#.#.##.##.#..#.....#....#.#...#.........#....#........#...##..#...#.......#........#..........#.............##.#.#...........##.#.....##...#..#.#..##....#..#..#......#....#.#.#.#..........#..##...........#.#.##..#......#...#..#.........
##..#............#..#........#....#...#..#..#..##..#.......#...#......#.....#....#.##..##.#####..........#........#..........#.##....#...#.#.........#...#.#####.......##....#......#.................#.#.#.........###........#.......#..####...#.#..##...#.#..#..##.##..#...#...##......#.......#..#.......#......#........#...........####......#....#.##.#..#..#.........#....#..##..........#....#....#.#.#..#....#...#...#.#.#..#............#......#.....#..#.........#.....#....###..##.....##.##..#..##....#..#.......#...##....##.......#..#..#.#...#.#.#...#.#.##..#...........#.##....#.#....###...#.##..#....##..#....#..#.....#............#....##..#.#...#......#..#.....#.................##.....#..........#......#.#.#.#......##......##.###..#......#..##.............#.####....##.##.........#.#.......#....#....#.....##..#......##..#........#..#.....#..#.......#.#.#.........#...#.##......#..####....#..#..#...#....#...........#...###...#..#.#.#.....#........#.............#....##......#............#..#
.......###.#........#..................#.#.#...#....#..##.............#..#.#..#.#...#........##.......#..#.#.#.#.#....#.....#...#.......#..#..##...#.....#.#..........#.##...##.....#..#.....#..#.....#.###.........#.#........#...........#.#...##...##.#......#...#.##.##.....#.##..............#..#...##......#...#..............#.##...#..#.....#......#.#..##..............##.........#..............#......##.#......#...#.##...#..#.......#..#....##...###......#.....#....##.....###.......#####...#..#.....#..#....#...#..#..##..#..........#....#......#....#.#....#..#..##.......#.....#.#..........#.#........#.......##.#....#......#.#.....#....##..#.....#.#....#..#..........#............##......#.......#........#.#.##.#............##.#.#....#.....#......#.....#.#..#.#.##..##....#...#.....#.....#...#....##...##.....#..........#....#......#....#.#..###.#.....#.#......#..#..#.........#..#...#................#......#..#..#.......##....#.................#..#...........#..#....#..#.................#...
..#....###.......#.......#...#..#.#.#.#..#.#...##..#..##...............#.....#.....##..#..##.#......#........##..##..##.....#........#....##.#.#.........#.###.#.........#.......#..#........#.....#....##..#.......###.........#......#..###.#..............#..#..##.##...........#......##......#..#....#......#..##...#......#...#.##.##...#..#..#...#.##....................##....#....#...#.#.##......#.#.#.#..#.#....#...#.....##....#..#.#..##...###.....#.#..........##...#.......##.##.....#...#..#.....#.#.#.#.......##...#.#...#..........#....#...#.###.......##.##.....#........#......#....#.#.##..#......#........##......#.......#..................##.#..#.......#..#..#......#.#...............#................##.#.##.......##......#..#....#.............#..............##.....#.##...#.#...#.#.......#...###....#........#......##...#.......#..#.#.#....#..##.#.#.............##...##..#.#.....##.....#...#.#.........#.......#..#....##....#....#.......#...#....#...............##.............##.......#.##
###...#..........#..#......#......#....#....#..#...#..#.#..#...#.......#.##.#.#.....#..#....##....#...#.....#.##......#.....##..#.#.....#####.#....#.........###......#..#....#..#..#..#........#.....#....##.......#.##...................####..#.#.....#..##..#..##....##.....#..#......##......#..#.....#...#....#.................#..#.##.#.....#...#.#.....##.#............#....#.........###.#..#...##.#.#..#...#..........###.#...#..#.#.##.#....###...#.#.##.........#....##....#............#.#...#.......#.#...#..#...#..##.#..###....#.#..#........#.###...#.#.##.#............#.........#....##...#...#........#..#..#.......##......#.#...........#....##.#..#....#..#..#........##.#.#......##..........##..#.......###..................##.#..#..#......#..##........#.#....#.##..#.##......##....#.#.#.....#....##...#.............##.#...##.......##.#...#.......#....#...........#..#.#...#.#.#......###....#..###....##...#.......#...#...###...##.#.#.......#..###..##..........#...............#............#.##
.#..#..###.......#..#.............#...#.....#..##..##.##...#...#.......#.#.#.##..#.....#..###.........#.....#....##..###....#..#...#.....##....#.#..#....#..#............#.......#..#........#..#..#....#.##....................#..........#..#..#.....#...#.#...........##...#.#.##......#..........#........##....##.................#.#.#..#....##...#.......##.....#....#...###...#....#....#...#.#....#...#..#.#......#...#..#..#......#..##..#.....###....#......#................##....#..#.#..........#.....##...#..#...#...#.#..##.....#.......#.....#.###...#......#..#...#.....#.##....#......##..##...........#......##...#...#.#..#.#............#...#.##............#...........##...#......##..............#.#......#...#.#......##......##.###..##.....#..........#.#..#...###...##.#.##....#....#.#.#.....#.........##....##..#...##.#...##.......##...#.#..##..##......#.........#..#..####.#.#........#...##.....#..#.#........#.....##.....#...#..#.............#...##..........##.......#.#....#.#.#..#.....#..#
###....#.........#..#....#.#........#.#..#.##..#...##...#.................###......#....#.##.##..........#.#####.##..###.......#..#..#..#..#.###...##....#.#.#.#......##.#...##..#..#........#.....#..#..#.#.........##..........#........#.#.#..#.#..#..#.#..........##.##................#......#..#....#...#..#...#..........#....##...#........#....#.##.#..#......#....#...#.#..#.........#...#..#....#.....#.............#..#..##..#..#.#.##.#....#..#..###.##..........#....#....#.#..##.....#...#.....#..#.....#.#..#..##..##.##.###....#....##.#.#......##...#....#.#..#...#.....#.#....................##..#....##.......#.##..##........#..........#...#..#...............##......###.#.........#......#.......#.#......##..##.......##..........#...##...#....##.............#.####.###...#.....#....#.....#.......#.#....#....##..#....#.##..##........#.#.#.....#..###...#...........#.##.##.##.#.#..#..#..#....###.##...#....#.....##.#...#....#.....#.#.........#....#..##..........#..#.##..#........#..........#.#.
###.#.#..#.#........#....#...#..#.#.#.#..#..#...#...#.##.......#.......#..##....##.#.......####...#.#.#....#.###.....#......#..#.........####..#....##......#.........##.....#...#..#..#.....#.....#......#.#.......####.........#.....#..#.#....#.....#...###..#...#.#..##.....#.#...#....#......#..#....##...#.#..##...#......#...#.#..##...#.....#...#..#.....#..........#...#.#...#........#....#.....##...#.##...#....#...#.##..#...#.#....#...#....##...#........#.....##...#.....###...#..#...#..#.....##...#.#.#.#..#......##..#.#.#.........#...........##...#......#.....##.....#.#......#.....#....##..#.....#.....#...#..##.....#..#.........#........#..................##..........#................................#.#..#.#......#.......#...#...#....#.#......#.....#..#.#.####...#.#.##...#.....#.#.#.....#.....#...#.....##.......#.......#.........#.#....#...#.#.#.............#......###...#..#..#.......##.##.....##..##....#.....#....###......#.#.......#.......#...........................#...#..#........#
###.....#........#..#.............#....#.#..#......##.##...#.............#.#.##.....#.......###............#.##.......#.........#.#..#..#...##.#.#..##......#.......................#........#..#.....#.##..#.......####.........#.....#..####.....#..#..#..##..#..#......#.......##.......#......#..#.......#.#.....#..........#...###..#.##.#.....#...#..#.#..##...........#..###...#....#.......##.#...#.......#...#..........##..##.......####........#...###......#..........#.....###..##....#.#.....#...#.#.##..#.#......#..#...#........#.....#.#.#...#.###...#.#.#...#.............##.....##....##....#..#.....#..#..#...##.....##....#.#.......#..........#..........#.....##......#.....#..................##..#........###.##.......##.....##.#................#..#...#...##.#.###...####.#.....##...#.#.#.#.........#.........#.......##..#...##.......#.#...#....#.###.#.#...#.......#..#..#.........#..#........#.#.#...##...##.#...#..........#.......#...#.....#..#.#..#...........#.....#.#..#....#...##.........##
###.#.####.#.....#...........#........##....#..##...#......#..........##..#.###..#.....#..####...........#..##.#.#..........##..#.##....#....#......##......####......#.............#..#.....#..#.......#.#...........##.......#.......#..#..##..###.........#..#.........................#..................#.#.#..##...#...#......##.#..#......#..#....#......#..#...#....##...##...#.........##..#.#......#...#..#......#.....#.#..#..#.#..##....#...##.#....#.#..........##...##....#.##.##..#..#.###........#...#.#.......##...#.##.##.....#.#..##...#.....###...#....#.#............#..#....#.#....##..#....#........#..#................#.#.#..........#...#..#.#.......#........#....###.#.#.......#.....##...##....#..........#.##.....##.......##.##...#...#........#.....#...#..##.#...##...#...#.#...#...#.#........#.....#....#...#...#.......##.......#.#......#...##..#...#.#.........#....##.......#..##.#........#.....#....#.#...#....#....#.#...#..#...#.....#..#................#.....#.##.#....#...#........#..#
.##....###..........#......#....#.#......#.....#......#....#...#.......#.##..##.##......#.#...#...#...#..#.#.#.#..#..###....#..#...#.....##....#.#.###.....##.#.......#..#....#..#...........#.....#.....#..#.......#..........###.........#.#...#.#...#.#.##......#...#..#...#.#.#.......#.......#..#...#.#.#.#.#..##.......#.......#........#.....#....###.#.....#...#....#.....#...#..........#.#.......#...#.#....#....#......#..##............#......##..#........#......#...#.....#.##..#....#####......##.#.#.#.#.#.........#..##...#.........#..#.............#.#..#........#.............##..........#..#...................##............#.....#.....#..#.#..#..........#..##.#.....#....#......##......#...#...........##....#.#......#.....######....#.....#...#......#...##......#....#...#.....#...#.#.#.#...#...###...##....##..............#.......#....#.#....#.###.#.#........#..#.......#.......#..####......#......#.#..#.....#..#..##...#.#...#....#.#.....#....#...#..........##...#...#.#........#..#.......#.
..#.#.##.........#..#.............#...##.#.........#..#.#..#...........#..###.#....##...#.#..#....#.#......#..#..#...###....##.#..#......###.###...#.....#.#..#.......#.......#..#...........#..#........####........###........##.....#...###...###...#.#......#..#......#...#.#.#.......##.........#...#....##.....#.......#..#.....##..##..#..#.#....##.........#.........#...#.........#.....#.#..#....#.#......#.#....#...#...#........#....#..#....#....###.#....#.....##...#.......##..#..#.#.#.##..#.....#..#..#............#.##...#......#..............#......#.##....#............#.....##.....#...#...#.....#..#..#..###.##............#..........#...................#..#.........#.#.#..............#...#...#.#......##..#.##............##.##.....#...#........#.....#.##.#.##...#.#.#.#..............#.#...#...###...#.....#...#......##...........##.......#.#..#.......#.#....#....#...####...#..#..##.#...###..###...#....#.#..##.....#...#......#...........#..##...#...........#..#....#...........##.......#.#.
..#.#.##...#.....#..#........#.........#....#..##..#..###..#...#......#..##.#....#.##...#.###.........#..#.#..##.##...##.....#..#.#..........###.#.###.......###........##....#..#..#...........#.........##...........#.......###.....#..#..##..###..#......#.....##.#..#......#..#..#...#..........#.....#.....#..#....#...#..#...##......#.#..#..#....##..#..#......#........###.............#..#..#...##.#.#.#..#..........#.##..##..#..#..###.##....#....#...#...............##....##.#..#..#.##..#......##...#...#....#...#...#.##.##.......#...#.........##......#.....#.............##.....##....#.#..#...#..#..#.##..#..#....#..##.#......#.................#.........#.....#..#.....#..#.#.............#....#...#.......###..###......##.....###......#......#..##........#..#.#..##..##.#.........#...#.#.#.........##....#......#.......#.##..##........#.#.#...#.##...#.....#.#.............#.##.........##.#......#........#...#.......#.......##....##...#...........##..#...........#.......#..#....#.#.#...........#
.#....####.#.....#..#...............#.#....#....#...#.##...............#.##..#..........#.#...........#..#....##..#....#.....#.#..##.#..##.#.##....##.......###.........##...#...#.....#.....#..#.......####........#..#........#......#....#.#..#.#...#.....#......#..#.#....#...#...#...##..............##.###.........#...#.......###..##.....#.#....####.#..#......#....#....#...##........#.#.##........#.#....#.#........#.....##....##..#.#.##..........#..#................#....#..#........#.#..............#..........#.....#....#.........#....#.....###...#.#....#..#.........#.......##......##..##.#......#..#..#..##......##.#....#.......#..............#.#.......#..##......#.#.#.#.............#........#.#......#...#.........#.....#..##.#..#......#............#.#.....###..#.##.##....##.........#...#...##.....#.....#.......#.#....#.......##...#.....##..##...#.#......#..#....##.#..#.#..#.........#..#####...................#......#....#...#.#.....#..###.................#.##.##......#.#.#..#.......#.
#...#....#.................#.#........##...#...##..##...#..#...#.......#.....#..#...#.......#.#...#...#..#.#..#...#..###....#..##.##.#...##.##...#.#.#......#.##........#.....#..............#..#.....#..#.##..........#...............#..#.#.........#............#...#.#....#.#.....#...#.......#..#...##...#..#..#....#......#...#.##......#....#....###.....#...........##........#....#....#..#..#....#...#.##.#......#...#..#..#...#....##..............#...##...............#.....###.#...#.....##......#.#.##....#.....##..##.#...##....#.#...#.#.#...............##.......##.....#.......#........#...#.##.......#.......#..##.......................#...#..#..#.#....#.....##......#............#...........##..#.#.......##..#.#.............#.......#.........#...#.......##.#.#..#..#.........#...........#...#...###...##.....#..#....#.....#........#..#.#.#..###.....#.#.#.#.............#.#..........#.#.....#..#.#....##...........#...#....##....#...............##...#..........#....#..##......#............#...
#.#..............#.......#.#.#........##.#.....##..#.......#...#......#..#....#.....#.....###.......#......#..#...#..#.#.....#....#.....#....###....##......#..#.......#.#....#..#.....#.....#..#.....#....##.......####.......###.....#...#.......#..##.#.##.........##.#....#...#...#...##.........#...###.....#...#...#...#.......#.#....#....#......#....#...#.....#........#.#........#........#......#.#.#.##....#.........###.#...#.##.#.#..#....#..#..###.#..........#..........#.#..##....##..#......##...##..#.#.........#...#.#.#.........#...........#........................#.##.....#.....###.#....#........#..#......##.....#.....................#............#........#......#.................##....#..#.#......#.#..#.#.....##......##.#.#..#....#............#....#...####..###...#.........#.#...#...#.........##.............#.....##.......#....#...#.....##............#.....#...###......#..##.#...####..#...#.#..#........#...#...##....#..#...#.....#....#..##.............#..#.##.#........#........#...
.##...#.##.#........#....#.#.#......#..#...#.......#...#.......#.......#..#####.#...#.....#..##...#........#.##..##....#........#.##.....#.#.#...#.##......####..........#...#...#..............#..#.....####.......##.#.......#..........#.##...##...#..#.#.#.....#..##..#...#.#..#..#...#.......#......#.#..#..#..##...#..........#....#.##.#..#..#....#......##..........#........##....#...###.##.#...##.#.#....#.#...............#.....#..#...#....#.##...#.............#...........#....#....######......#.#..##......#.........##.#........#...#.......#..##...#.#..#.##....##.......##....#......#....#......#............##.##..........#.......#.............#..#....#..#...#.#....#.#.#........#.......#...#...#........##..#........##.......#..##.......#.#..##......#.#.#.#..#.#....##..#.....#........#.#.......#.#....#....#...#...##..#..#........#..#.....##.#..#..#...#.........#.#.....##...#.....##.#.......##.#.......#..#..##.#..##....##...#..#.#...........#...#...........#.....#.##......#......#.....#...
#...#....#.#.................#..#.#.#.##.#.....##...#.##...#...#......#..#####..#.........####......#......#..##.##...##.....#.#.........#....##.#.###...#.####........#.#.......#..#...........#.....#....##.......##...........#.....#..##..#...#....#.#......#..#...#.##.......#...#...........#..#...#...##..#..##.......#..#.........##.....#.#....#.......##..........#.........#.........##..#.#...##.#.#..#.#.##.........##..##....##.###...#....#.#...#..##.........#....##......##.......#####............##...#......#..#..##.##..........#..#.#.......#...#...##.##.#............#.....#.....#.#...#.....#.....#.....#.#.....##....#.#.......#........#.#..##.#...........#.#........#.........#.....##...##..#........##..#.##.....#......####.##.........#..#...#...#.#..#.#.#.#.........#.....#...#.#...#.......##....#.....##..#.......#..###......#....#.#..#....#....#...#.......#.##..#.#....#..#..#.##...##...#....###..#.....#......#....#....#..#.#.......#...#....#..........#..#.#...#......#...#..#........#
.#.....#.#.......#..#....#...#..#......#...#.......#..#.#..#...#......##..##.##.#...#.....#.#.........#..#....#..#....##.....#.##.#..#....#.##...#.......#.###.........##....#.........#.....#..#.....#.#..##.......#.##........#.........####...#.#..#....#.#..#..#..##..#.....#.....#...#..........#...###.###.#..#....#......#...##.#.#....#.....#...#.#..#..#...............#.#..#.........#.#.##.#......#.#....#.##...#.....#....#.....#.##........#..#...#..##.........##.........###........##.###.....#....#.#.#.......##......#..##......#...#.#.#...#.##......#..#.#............#.##....##.....#....#...#..#........#...#...#..#..#..#.........#....#......#............#...#.#....#.#.#.........#.....#..........#......##..##.......##...............#...#.#......#.........##..#...##....##...#...................##....##.....#..#...##..#..............#.#...##....##.#...#......#..#..#.#####.#....#....#......##.#....##......#..##.#..#.....#.....#...#.......#..#.....#..........##...##.#..#...........#.......##
#.......##..........#....#......#...#.##.#......#...#..........#.......#.#.##.#.##.##...#.#..#......#.#........#.....#.#....##.##.##.#...##....#....#......#.#........##.#..........#..#.....#..#..#..#.###.........####.......#.#.....#..#..#...#..........#...#..#..#...#................#......#.......##..##....##...#......#...#..#.#....#.....#....#.#.#..##.....#....##...#....#........###..#.....#..#.#.##...#..............##..#.#..##....#...#..#...#..#....#......#...#......##..#...#..#.###.....##...#...#.#......#...#....###......#.......#.....#.#.....#.##.#.....##........#.....##....###......#..#..#.........#..##..#..#..#...#...........#..#.#..#..#.......#...#........#..........#.......#.........#........#..###.............#.#.....##...#....##..#...#...#.#..#....#..##.#.....#....#.#...#...#...#.#....#........#....#.##..#.#......#......#....#.#.#............#....#..#.#.#......#..##......#..#.....#.......#...#...........#...##.....#........##...##..........##....#.........#.#..........#..#
....#.##.........#..#........#..#...........#...#..#...#..............##.....##.##..#........##..........#...#.#..#...##.....#.##.#.....##.#.###.....#...#.###........#.##.............#........#..#.......#.........###.......###.....#...#.##..###..##.#..#.......#....##...#.#.....#...#.......#..#........#..#...#...#......#.....##..###....#..#...##...#.....#........#...................#..##.#...#....#..#....#.........###.......#..##....#...###.....#.#....#.....#....##.....##...#........##..#...#....#..#.......#.........##.......#..##..........#......#.#.....#...#.....#.#.....#.#..........#.....#..#.#......#.......#.....#.#............##..#..#.##.#....#..#..#....................#...............#.........#..#.##..............#####.......#....##..#...#....##..###..#..##......#.....#.#.#.........#.#.........#...#....#.##...#.......##...#...#..#..#..#..........#.....#..#.#....#..#...#......###.###...##..#............#..........#.#.#............#..#...........#..#....#..#.................#.#.
#...#.#.#..#........................#.#....#....#..##..#...#...........#.#.#..#.##........##.#....#...#..#.#..##..#............#..##....#..#...#.#..##.......##.........##....#.....#..#...........#.......#........#.##.......#..........#####..###...#.#..##......#.#.......#....#..#...#..............#...#.#.#..#........#..#......#...##......##....###.#..##.....#....#...##....#.........#..##......#.#......#.##.......#.###.....#....##...##...####..#.#.#....#......#...#.......#..##....###.....#.......###.........#......#....#.........##...#.....#.....#.#...........#....................##..#...#........#...........#...#......#.#.................#.........#.....##......##...........#...........##..#.#.....#..#..#.#.....##.......##.#....#...#....##......#.#.........#.....#.##...#.....#.#.#................#........#...#..##....#......#..#.#......#..#..#...#......#..#.#.....#....#......#.....#.#.###...###...#.#..#..#...#....#.....................##...............#....#......................#.#.
.#..#..###.#.............#......#...........#......##.##...#...#.......#..####..#.......#.#.......#.#....#........#....#....##.....#.#...#...#.#...#.#...#....##........#....................#..#.......#.............##.......###.....#......#...##.........#..#...#..#..#...#.#..#..#...#.......#.......#......#..............#...#.##.###.....#......####.#...#.#.............##..#.....#...#.#.#..#....#......#........#...#..##..#.....#..#.#..#.....##.......#..............##.....#...#.....#.#.##......#.#.##.......#......##...........#....##..........#.........#.#.....#......#.#.......#....##...##..#.......#...#..#.#.#......#......#..........#...#.#..#..............#......##..#.#......#......##....#..#.#......#.#..........#......#.#.#.#.......#....#...#...#.#.#.##.#....#.##..#....##....#...#.#.........#.........#...#...##.....##........#.#.#.#...##.#.#.......#................#.#........#.#....#...#....##.........##....#....##.......#...#.....#..#.#...#..........##.#.##..#.#....#...#..#.....#.#.
.##.#..###.#........#....#.#....#.#.#..#.......##...#.................#..#...##.#......#..##..#.....#.#..#...#.#..#...............##.#...####.##...#........#.##........##...##..#.....#........#.......##.##.......#..................#....#.#..###...#...##.......#..#..#...#...##..#...##......#..#....##..##.#..#....#...........#.#.#..#......#.....#.........#..............#..#.....#...###.##.#....#.#.#..#.#............###..#..#.##.###.........#...###..#.........##...#......##..##......####......#...#...........#......##.###......#..##.#.#.....#.#.....#.#.....#..##.......#..............#.##...#.......##..#..#...#...#.....#...#...........#..........#....#..#..#........##.#.....................#..#.............#.......##......#..#.#...#...#.#..........#.#..#.#.#.##.#.##..##....#....#.#.#.#........#..........##..#...#................#.#......##..##....#...#....#....##..#..#...#.......##...#.##.#.#..#....#........#..#....#......#.#............#.................#.#.##.##.#......#..#.#.......#.
#.#...##.#.......#..#........#..#.....##....#...#...#..##......#......##.#####..#......#..###.#...#...#....##....#...##......#.#..##.......#..##.....#......#..#.............##.....#..#.....#..........#..##.......#..#........#......#...##.#.......##...#....#..##.#...#...#.#.#........#......#..#........#.....#...........#...##.#.###..#....#......#............#..........#..#.....#.....#.#..#...##...#.......#.......#..##.##..#..#.......#...#.....###.##..........#.........####.........####..#...#...###.#.#..#............#.#......#..#..........##....#.#.##.#..#.........#..#....#.#......#.#.#..#.....#..#.......#..#..##........#.....#....#......#.##.#.......#.....#....###...#......#.......#....#..#.#........#.##...............#.#.#...#......#......#...#.#...##.##...#.#.#.#..........#...#..........#....#.....##..#...#...#..#........#..#........#.##..#.#.#.#.......#.#..#.#..................###.#.....#.......#..#..........##.....#.#.........#..#.#..#...........#.......##.#....#...##...........
..#.#.###..#.............#.#.#..#...#.#..#.##...#.....###................##......#.....##..#.#......#.#..#.#.#....#..#.#....##.##....#...#.#####...###.....####.......#.##...............................#..........##.#.......##.........#..##....#.........#..#..#..##...........#..#...##.........#.....#.##..#.......#...#..#...###..##.............#.......#......#....##..##....#....#...###.#......#......#....##.......#.#...##....#..####.##.....#...#.#.#..........##....#......##.#...#.###.##..#..#..#...#...#......#..##....##.......#..#..#.....#...............#.#.........#..#....###.....#...##.#.........#..#.......#...#....#.#.......#........#....##.#....#........#....##..#................................##...####.............###.#....#........##..#...#.#..#.....#..#.##..#....###...#.....#........##.........#...#...##.......#...........#.#.###..###.#...................#....#....#....#....#.##...#..##......#...................#..#.#.......#...##..............#.....#.#............#.#........#
..#.#.####.#.....#..#....#......#.....#..#..#..#......###..#...#.......#...####.##.##...#...#.#...#...#..#.##....##..#......##....##......###....#...#...#.#...#.......#......#..#...........#.....#..#..###........####.........#.....#.....##..#....##.#.#.......#...............#......#.......#........#.##..#..#........#.......##..##.#.............##.#...#.....#....#.....#........#...#....#......#.#.#.##.#..#.......#..##.#...#.##..##..##....#.#....#......#..........#.......##.#...#.#.##.......#..#.......#.........##.#..##..........#..#.#.......#.......#.....#..##.......##.....#.......#..##.##..#...........##.........#..#...#..........##..#..#.#.......#..#..........#.#.#.........#.....#...................#...........#......#..###..##.....#..##..#.......####..##...####.......#....#.#.#.....#...#...........##.........##....#......##.#.#.#.#.....##.#.....#....#....#.............#..#.##...#..#..##..#....##....#..#..##...##.......#.#.#........###..#...........##.#....##.#.........#.#.......#.
###.#.#..#.#.....#................#...##...........##.#.#..#...#.........###....#.........#.#.....#.#.......##...#...#..........#.##.#..###.##......#........##.......####...##..#..#..............#..#...##........###........#.#.....#....#.#...#...#..#.#.#.........#.##.......##......##......#..#........#.....##...#...........##.....#....#.......#.#.#..##.#.........#..##...##....#...###..#.#...#..#...#..#..#...#.....##......#.##....#.##....###....#.##...#.....##...#.....#.#..#.......#.#...#..#........#............#.#...........#..#..#.......##......#.##..#.#...........#......##......#.#.#.#...#..#.....#...##.##..##.#.................#...#.##..#.#.......#.....#....##...........##.....##...#.....#......#.#..##..............#..#.........#.....#..#...#.#..###..#.#....#..#......#.....#.#.#.......#...........##..#......#...#.................##.#.###.#.#.#.........#.##.#..##......#..####.........##..##....#..........#......#....#.#............##...............##......##..........##.#.....#.#.
###...##.#..........#....#...#....#.#....#.##...#.....##...#...#......#..###....#..#...#..#.###.......#..#.#.###..#...##..........##....##.#..##.#..##.................#............#..#........#..#..#...###..........#.......#.#.........###...###...#...#.#......#..#..........#.......##.............#.#.....#...#.......#..#......#.#.#..#..#........##.#...#.....#...................#...##..##.#...##.....##.#......#...#.##...#..#.#..#.#.......#.....###.##..........#..........#...##..#...#..#.....#..#.###..........#...#.#....#......#..#..#.#.....##......#..#..#.....#.......##............#...##..#..#..#.........##........#......#.....#....##..#..#..................#....###.#.#...................#....#......##............#......#####...##...#.................##..#..#.#.#........#.......#...#........##...##.....#..#....#..#....#......#..#...#...#..#...#.#...#....#.....#.#.............###.....#...##...#.......#...#.#..#......#...#....#.#.....#...#....#..........##...##.#..#....#.#....#.....#..#
###.#.##........................#...#.##.#.........##.#....#..........##...#.#..##.#......#...#...#...#..#.##.#...#.........#..#...........#.............#.#.#.#.........#..........#..#........#..#......###.......###.........##.....#...####..#.#..##...##...#...#.##.##...#.#.....#....#..............##.....#..#........#..#....#...#.##....#.........#.#..##.#........##...#...##........#...##.....##...#.##.#.#..........###.....#.#..###.......#..#..#.#..#...#.....##.........#.##.....#....###......#.#..#....#..#.........##..##....#.....#.......#.........#.##.##.#...#..............##.........#......#....##..#...##.##...#.#....#............#.....##.#..............#.#....#.#..........##..........##....#.......#..#..#.....##.....#.###.#..#....#.....#........#..##.....#.#..##.##...#.#...#.#.#.....#..........#....#........#.#....##......##.#.#.#.#.##.###.#...#...........##.##....#.......#.#.....#.#..#........#..#...#.#..##..........#..............###..##...........#.#.....#......#....#..........#
..#.....#..#.............#.#.#..#..............##..#.......#..........#.....#.#.#...#...#.##..#.....#.#....#.##..##....#....#..##.......#..#.##.....##...#.####.......##.........#...........#..#..#..#....#.........##........#............#.#........#.#.###.....#............#..#......##......#..#...##..##..#..##...#...#......#..#.##.#.......#....##......#.#............###..#..........#..#..#....#........#.............##.......##..###..#...####...##..#...#.....#...........#.#.#.....#..#.#.....#....#.#...#.....#....#..#...#.........##.#.#.....###........#.#..#...#.....#........##....#.#.###.....#...........##......##....#.........#...........#..#......#..#...#.#.....##.#........##.....##....#..........##.#.#..#......#.....#....#...##...#.#......#...#....##..###....#.#.#.....#......#.......#...##....##....#.......##.....#.#......#....#.#.###..###.#.#.#......#..#......##.......#..#.##...####.#.....##..#..#..##....#....###....#.#.#.#.....#..##...#...........##.#.##..#......#.#.##.#........#
....#...#..#.............#......#..........#....#..##......#...#......#.....#...##......#.#####.....#....#.##.........##........#.#........#.###.#..#......#####......##.....##.....#..#...........#....#...........#.##...................####...##..#..#.#.#..#..##.##.##.....#.#.......#.......#.......##..##.#...........#..#...###..###.......##....#.#.....#.#........#....#...##..........#.#..#....#......................#...#..#.#...#...#......##...##............#..........#.#.........#####.....#....#...#.......##...#.#...##......#..#........#...#.....#.##..#.#............#......#..........#...........#.......#.##...#......#.......#....#...#.#...#.........#...#.#.....##.#.#.......#.....##...#...#.......#.##..#..............#######...#........#...#.....#.##.....#..#.#.#..#...##......#...#........##...#.........#...#..##..#........##.......##...##....#.#......#..#.##.....#.#.#........#....###..#....#......#..#.....##...##....#................##..............##.......#...........#.#.....#..#
###.#.###..#........#....#........#.#.#.............#.###................#...#...#..#..##...###...#...#..#.#.##.......#........#..#..#..###..##....#........###........###.......#..#.................#....#...................#.#..........###..#.#..#..#...#..#.....##..#...#.#.#.......##.............##...#..#...#...#..........#..#....#......#....##......##.#........##..###........#...###....#......#...##....#.......#.##..##..#.#...#..........#........#..........#...........##.#...#..#..#...#.....#...#.#.#.....#....#.##.#......#.#.......#...#..#....#.#.##.#..#...#...............#....###.#...#........##.....##..##..##..............#....##....##.##............##......#.#.#........#......##.........#.......##.#.#......#.........##.#..#......#..#.......#.....##.#..#.......##....##...#.#.......#....##.........##......##.....##.......##.......#....#.#.....#......#..#....#..##.#.#......#......#.#.###...#..........#.#.......#.#...##.#.........#...##...............#...##.#..#......#.#..#.......##
......#....#........#....#......#.....##...##..#...##.###................###..#.#...#..##..##.......#......#..#.................#....#..##...#.#.#..##.....#..#.......####....#..#..#..#........#..#..#.#..#........####.......#.#.....#...##....###...#.#..##..#.....#...#...............#..........#...#.#.###.#...#...#..........#.##...#..#....#....####.#.....#...#..........#........#.......##.#...#.......#.#.##...#.......#.......##.#.#..##...##.#..#.#..#...#...........#....####.##......##.#..#..##.#.#.#.#.#.....##..#...#...#......#.....#.#...#...#...#......##.#..#......#.##.....##....###..##.##...........#...#...#..#..#......#.....#....##.....#..#.#....#..#..........#.....#......#...........#...#........#.............#.........#...............#..#.......##...#......#....#...#.#...#.#.#..........##....#.....#.......#..#..#.#......##.#...#.####.#.#...#.#......#..#....###.....#..#..####...##.###....###..##.#.....#..#.....#.....#...#.......#..#.....#..........##.#..#.#.......#.#.#........#..#
#.#...##.#...............#...#....#.#.##.#.##.......#...#..#..........##.#..##.....#....#..##..............#..##.#...##......#.....#.#...#...###.#..##...#.#.#........##.#...#...#..............#..#.....####.........##........##.....#..####.....#..##.....#..#..#..##.##...#....#......##......#...........#..#..#....#...............#..#.#..#..#.....#..#..#..#.........#..###..#.........###........#..#....#.#......#...#.....##..#..#.###.........#.....#.#..........##....#....#........#..#####..........##....#.....#......##...#....#.........#...#.#.#.......#..##....#........#.....................#.....#.....#..###.#...#..#..#...............#...............#..#..##........#.#.#......##.....##...##..#.#......##..##.#.....##.....##.###...##...#.#..#...#.....#...#.....#........#...###...#...#.....#.....#...#.....#..........##...##......##.#........#..#..#.#.#.#....#..#......#.....#......###...##.##.##.......##.......#..##....#....##...#...........##..##..........##...##..#......#.#..#.#.....#..#
.##...#..........#.......#.#......#...##.#..#..##......#...............#..#.###..#..#..#..####......#....#.......#...#.#....##..#.##.#...#.#.......#.....#...##.......####.............#...........#....#.#.#.......##.........###.....#..#..##...##.....#.###..#..#...#.#........##..#...#.......#..........#.#.#..#....#...#......###...#.#.......#....###....##...........#....#........#.....#....#...#.........#.##...#.........#...#.#.......##....##...#.#..#..........#...#.....#..#.....#......#.....##.#...#.#.#.....#....#.....#.......#..#..#.#.....#.......#.##.#.....#......#.......#.#......#..#..#.........#..#..##..##..#..#......#..........#.....##.##............##......#.....#.............##....#..#..........#...#......##.....###..#...##.....#..##..#...#.#.##.#......##.#.......#.........#.#........##...#.........#...#........#.........#.....###......#...#......#..#.##.#.#.#.#.#......###...#...##.#..##....#.....#....#....#.#......#.............##..#......................#....#......#.....#..#
..#...#.##.#.....#..#....#.#.#..#.#........#....#...#.#.#..#..........#.....#.#..#.....##..#..#.....#.#....#.#.#.##...#......#.##.##....####.......###...#....#.........#....#...#..#..............#..#....#........#.##.......##......#..#.#.#...#......#...#.........#.#....#.#.#.......##......#.......#..###.#..#........#..#....##..#.##....#..#...##.#.......#...#.....#....#..#..........##.#.......#...#.##.#.#........#.....#........#.#...#...#.........#....#.....#...........###.#.....######........#.#.#......#..#...##.#..#.#......#..##...#.......#..........##.#..##.....#.........#........#.#.....#..#.##..#..#.#.##...#......#.......#........#..#..#............#..#........#.........#.....##....#..........###...##......##.....#..#.##...#.........#..........#.#...##..#.###.##...##....#.#...#...#....#....#......#.........#.............#...#...####..#..#.#.#......#..#..#.####..#.#..#...#.....#..##.#...###..#..#.....#..#.....##........#............#...#.............#..#.#..#........#..#.......##
.#..#.##.................#.#.#........##....#..#...#..#.#.............#......#..##.##......#..#.....#.#........#......#......#.#..#.....#..##.##...###...#..#.##......#.##...#.........#........#.....#....#........#..........##.........#.#.#...#...#....##...#..#..#...#...#...##..#..............#.....#..##.#...#...#...#.......#.....##....#.#.....#...#..##.#............#.#...#....#...#....#......#.#......#.#....#......#...#....##...#........##....#.............##.........#....##......#..#..#..##....#..#....#..##..#.....#..............#.#...........#...#...#.#..##.....#..............#....#..#........#...#..#.#.#.........#.#.#.....#....#...#.#..#.......#..#.....#..........#.............#.....#....#..........##.#.....#.......##.##...#....#.#............#....#............##...###.........#........##...##....#.......#...#...#........#...#...#.##.......#.#.#.........#...#.##.#.#..#..##.#...####..#....##...#.#..##.#...#....#.....#...#.#.....#....#...............#.#.#..##.#....#.#.##.#.....#...
..#...###..#.................#..#...#..#...##..#...#...##..#...#......##.#...##.....#..##..#.#....#.#....#.#.#...#...#.#....#...#.#.....##.###.....#...................##........#..#..............#......#..........#.#.......#.......#.....##..#....#..#.##...#...#..#.##...#....#.......#.................###.#...#.......#......#.#..###..#............#.#.....#........##....#..#.........##..#..#...#..#.#..#...#....#...#.###..........#..#.#....##.#..###.#...........#..........#....#..#.#.##..........#...#......#..##...#.#...........#.....#.#......#....#....#.##.#..##........#......#....#...#.#........#.....#...##.#....#........#.....#........#.##.##.#....#..#...#........#...#.............##...#............###.##.#............#..#.##..#......#...#......#.#.........#.#.###.##....##...#...#.....#...#.#....#....##..#...##.#.................#....###..##.#.#........#........###............##...######.#...##..#..#...#.........###...#......#.....#..#.#..............#.....#.#...........#..#.........
..#.#..###.#........#....#.#.#....#...##.#.##..#....#..##......#.......#......#.#...#...#..#..#.....#.#..#...#...#...#............#..#....###....#.##....#...#.#........#....##..#..#..#...........#.....##.#.......#.##.......##.........#####....#.......###......#.#...........##......##......#..#....##........#........#..#...#.##..#.#....#..#.....##.....#.#...#.....#..###........#...............#.#...#..#.#....#.....#...#...#.#..##...##...#.##...##.#....#.....#..........##...##....##.##...#...#.#...#.........#..........#.....#................##...#.#....##.....#.....#.#.......#.....##..#.........#............##...#.#..#...#.....#....##.....#....#....#......#.#.....#..#.#.............#.....#..........##.#.##.......##.....#..##....##.....#..##........#..#........##.##.#.....#......#...#...#...#.#....#....#...#....#......#..........#.#.....##...#.#.#.#.#................#...#..#.....#...#.###.##..#.....#.#.....#..##...###......#.#.#.....#..###..............##.#.#............#.#..#.........
#...#....#.#.............#.#.#....#.#.#..#..#...#...#..........#......##.##..#..........#.#.......#...#..#.##.##.#...##.....##.#..#..#.....##....#.#.#..................#....#...#.....#........#..#..#.#..##........#.........#.#..........#....##......#......#..#...#........#..#..............#..#...#...###................#......#..#.#.......#...####....##.#.........#..#.#...#....#...##..##.#....#...#..#...##...#.....#.#.#.........#...#....####...##.##...#.....##.........###..##.....###..........#.......#..#.......#.##.#.#....#.#.....#.#...#.###...............................##.....##......##......................#..#..#...#...........#.....#..#.#....#.....##..........#...............##...............####.#.#..............#..##....#............#.....#.####.###..#####..#...##....#.#.#.#...#...###.............#....#.#....##......##.#...#.##.#...........#....#.......#.#.#...........##...#.###.......#.....#..#.....##....##....#...#............#..##...............##.#..#....#...##.#........#
.##...####..........#....#...#..#.#.#.#..#.#....#..#..###..#...........#.###.##.##.##..#..###.#.....#......##....#...#.#....##.#.....#....##.#.#...###...#..##.#.......##.....#..#.....#.....#..#.......##.##..........#.......##......#.........###...#.#...#..#...#.#..#......#.##.......#......#......#.#.##..............#........#..#.##.#..#.#......##....##.#.........#....#...#........#...##.....#......#.........#.......................#.....#....#...##.........##...##.................####.....##...#...#.#.....##......#.###......#..##...#......#....#.#..#.#..#..##.....#.........#....#.#..#...#.....#.#......#.#..#...#.#............#........#..#.........#........#....#....................#....#....#........#.##.#......#.......#.#.#..#....#.#...#..#...#.#....#...#..#####..#.........#...#.#...#.....#....#.....#..#......##...##.......#.#.#...###....#.......#.......#......###.#.#.....##.#.....#.##.#..###..##.#.....#..#....###....#.....#........###...............#.#.....#.#....#.#.##.#.....#..#
#...#..#.........#..#......#.#..#...#.##.#..#......#...#..............#..#..##.....#...#...#.##................#.##...##....#..#..##.#........##.#.#.#.....##.#.......#......##..#.................#..#.##.##........#.........#.......#..#..#....##..#.....#.........##.##.......#...............#..#...#.#.###.........#...#..#...###..##.#....#.......#.#.#..#...............##....#........##..............#..#...#....#...#.....#.............#....##....#.#..#...#.....##.........#.##.#......#.###..#..#..#.###.#....#......#.....##.....#....##..........#....#.#.#...#....##.....#.......#.#....###.#...#...#....##..#..##..##..........#.#.....#.....#.....#....#....#.....#...........#.#.......#.....#....#...#..........#.##.#......#......##.#....#..........#..#...#.#.##.#....#....#..#....#.....#...#.#...#...#.#....#........#...##.......#.......#...#.#.##.#...#.#.#.#.#.........##...##..#....#...#.......#####....#..........#.#.........#......#.#.......#...##..##.............#.#...#......#.#............##
##.....###.......#.......#.............#.#..#...#.....#.#..#...............#.......#...#...##.....#...#.....#.#..##...##....##.#.....#...####.#....###.....#..##.......#.#....#..#.....#...........#..#.##.#.........##..........#........#...#...#......#.#.#......#..#........#.....#...#...............##..##.....#...#......#......#..##..#....#....#..#.#..#...........##..................#..#..#....#.....##.#.##...#.....#.#.#......#....#.##.....##...##.##...#.....##...#................#..##.......#.#.#...#.#..#..#...##.....#..........##.......#.###.......##.......##........#....###....###..#...#..#..#.#.......##.#...#.......#.#..............#.......#..........##..........#........##..............#.#......#............#.......#.#.#...#.................#.#...#........##...##.....#...#.........#...###...#..............#.#.....#.......#.#...#.####.###.#.....#....#........##.#.........#..#....####.#.....#...#.#..#..#..#....#.#......#...#........#.....#..................##.#....#.#............#.
#.......##.......#.......#........#.#.##....#...#......#...............#.#####...#..#...#.##.#...........#..#.....#....#....#.....#.......#....#.#..#......#####......###....##.....#..#.....#..#.....#..##.........####........#..........###....##.....#.#.#..#..##..#.#.........#......##......#..#....#......#..##..............##.#...#.....#..#...#.#..#.....#.............##........#....##.##.#...#..#.#..#....#...#...#..#..#.....##..###..#....##....##.##.........#..........#.##.#...#...#..#........#.###...#..#.......#....#......#....##.........#.#.....#..#.#..#..#...............##......#.#.#..#..#..#.#.......#......#..#..#...#.....#....##........#.#....#..#..##.#........#.#......#......#....#...........###..##.......#......###...#.............#..#...#...###..##.#.#..#..#......#...#.#.#.#...#....##...#.....##......##.#....##......##.....#....#.....#.#........#..#.##.....#...#..#..#..#...##....##....#.....#.....#...#...#.#..........#.........##...#...........#....#..#......#.#.#........#.##
.##.#.#..#.#.....#.......#.#.#......#.#..#.##......##..........#......#......#...#.##...#..#.#....#...#....#..##.##..###....#.....#.....##.#.##..#..#....#.#.............#...##..#..#........#..#..#..#..####.......#.##.........#.....#..##..#.......#.....#......#..##..#.......##..#....#.............#.#..##.....#..........#...#.#..#..#.#.....#....#.#....#..#.........#..#.#..#..........#..#.......#...#....#..#...#...#..#..#......#.#.#.......##......#.#....#......#...#.......#..##..#.##.###..#...#.#.#.#.#............#.##..#..........##...#......#......#....##....##.....#.##....#.#....#.#.###.................##...#..#..#....#.#..............#.#..##.............#.#....#.............#.....#..................##.###......#......#.....#..#..........#........#..#...#.##.#...#..#...#.#.......#.#.......##..............#....#..#....#.........#.#.#.#..#.###.#.............#..#..#.#..#.#..#..#.##...##..##......#...#.#........#....##.........#.......#..##....#..................##.#......#..#.#.....#..#
##....####.#.....#..#....#......#.#....#.#.##..#......#....#...#...........###...#.....#..#####...#.#....#.#..##.##..##........#...#....###..#...#.##......#.##.......####...##..#...........#..#..#..#..##.#.......#.#.........#............#....#....#.#.#....#...#..#.#......#.##..............#......###.#.#.....#...#......#...#.#..#.......#.#......#..#..##.....#....#.........#.........##..#.#....#.#.#......##...#.....#...#...#..#.#.#...#....#.....#..#....#.....#....#.....##.#.......#.###...#...#.#...#.#....#..#....#....##.............#........#......#..#.#.....................##....###.....##..#..#.#...#..#...##..#..#..#...#..............#.##....#....#.....##.#.....##.#.#......#......#.....#..#........#............#......##..##...#....#.#..##..#...#.#.###..#.#...####..#...#.....#...#.....#...###...##.....#......##..#..#........#..#.#.#.##.#.#...#.#...#.........##.#####.#....#..##.....#...##.#..##......#...#.#..##....##...##...#..........###...#..........#........#.#......#..#.#.....#.#.
#......###.#.....#..#......#....#...#..#....#..##.....###..#...#.......#.#...#..##.##..##.##.##...#...........#........#.............#.....#.##....#.....#.#.#.#......##.....#...#.....#.....#.....#..#.#.#....................##......#..#.###...##..##...#.#..#..##..#......#...#........#..............#..##..........#......#...#.##..#...#....#.....###....##.#...#.....#..#.#........#...##.........##.#...##....#.......#.#.#..#..#.##..#....#...###...#....#.........##...#.....#.##.#...#.#....#..#.....#...#......#..#.......#..#..........#..#.......#.#.......##.##.#...#.......#................#.#.#......#..#.....##...#...#........#..........#...#..#..#......#..#..##.......#..#...............#....#...#.#.......#.....#......#.....####.##.......#.#...#........#.#.#....##..##...##....#....#.#...#.......###...#......#......#..##...#........#.#.#.#.#....###.#..........#..#..#.##.#..#.#.....##.....###.##....#.......#...#.#..##.........#....#.#.....#..#.#..#...........#....#.....#....#....#.#........#
#.....#....................#.#....#...#..#.........#...#...............#..###.......#..#..#####.............##.#.....###...........#.#..####.#...#..##...#.#..##.......###....#..#..#..#.....#..#.....#.#...........#............#.....#..##.....#.#............#..##.#...#................#......#..#.........#.#..#....#......#...#.#..#.##...........##.#....##.#.........#..###........#...#....#.#...##.#.#....#..........#...#.##....##..###.#....###.....#......#.....##...##.........##....#...##..#..#......#...#.....##...#.#.........#.....#...#.....###...#.......#...........#.........#.....##.##......#..#.##..#..#....#..#..#......#.....#....##..#.##..#.#....#.....##.#....##..#.#......#...............#.......##.#.#.##......#.......##..#..#....#....#...........#..#..#.#..#..#.#......#.......#.#........##....#....#.......##..#....#.......#.#.#.#..###.##..#.....#............##......#..#..##.#....##...##..###..##....##....##...#.....#..#.#..........##...##..........#..#.#..##.#....#.#.#..........#.
###.#....#.......#..#....#......#.#...#........##......##......#......##..#####.##..#..##...#.#............#.#.#.##...##....#...#..#.#....######.#...#......#.........####.............#........#..#........#.......#.#.........#.........##.##...##.....#...............##........#......................#......#...#...#......#......#..#.#...........####.#..##.....#....##..##.............##..#......##.#......#......#...............##...##.#....####..###.##.........#....#.......##.##..#.##..##.....#....#...#.......##..##.##........#.#..##.......#.#.#...#.#....##.............#.......#....##....#.....#..#.#......###.##..#.....#...#...........#..#.#..#..#....#.....#.......###.#........##.....##...#...#.#.....####.................####......#........##..#.........##.##.#....#..#.....##.....#.............#.........##..#...##.#.....#......#..#.#...##.#.....#.#........#....#..#.#............##....##.#####..###...#.#..##.#..#....###...#..#...#.....#.......##..........##...##..#.#...................#.
#.#.#.#..................#...#..#.....##.......##..##..........#.........##......#.##...#..#........#......##..#..#.........##.#.....#..###..#.....#.#.....#.###......#......#......#..#.....#..#.......#.#.#.........#.........##.....#..##.#....#......#.#....#...#....#....#...#...............#..#...###.........#...............###..##..#..#.#....###......#..........##....#..............#.##.....#..#...##..............#...#.....#..#....##...##.....#..#....#......#....#.....###.#......#.###..#..##.#.##..#........#..##.#..#......#.......#.#.......#...#...##.##.....#.....#.......###......#..##.#.........#.....###.##..##....#.#.#.....#....##..#.#..#................#.....##.#.#......##......#...#.....#.....#.#....#......##......##.#....##...#.#..........#.....##...##....#..#....#.#.....#............##...#.....##..#....#.##...##.........#.#......#.....#.....#............#.#.#.#....#..##..........#.....#...##.#.....#..#....###......#.................##...........#.#..#.#.........#.##.......#.#.
#...#.####.#........#....#.#...........#...##...#...#..#...#..........##..##.##.#..##..##.#####.......#....#.##..#.....#.......#..##.....##...#..#...#.....#.#.#..............#..#..#........#..........#.#...........#..........#..........###....#...#.#......#..##.##.##...#...##..#....#......#.......##.###.#.......#......#...###..###.......##...#.##.#..##.#...#....##..#.#..#.........#....#.#....#.#.#....#.#....#......##..#....##..##..........#...#...................#.....##..##..#..###........#.#..#....#..#..##..#...#...#....#.....#.......#.........#.#..##.#...#.......##.....#.......#..#..#......#.#........#.##...#.#....#.#.....#....##..#..#.#..#.......#..........##....#.............#.....#....#......#...###......##.....##..###.........#......#...#.#....#..##..##..#..#....#......#...#...#...............#...#...##..#...#.......##.#.#.#..#.........#.#............#...#.#.#.#..#..#.##...#.#.##.....#...##.......#..#....#.#...................###...#..........#..#..#.#..#......#.##.......#.#.
#.#.#.#....#........#....#...#......#.#....##......#....#..#...#......##...##....#.#...#...#......#...#..#.####...#.........#..##.##....#.##.###...###......#..#......#......#...#.....#...........#.....###.........###...............#...###....##..#....##...#..#......#...#...##.......#.........#...#....##.#...#...#...#..#......#..#........#....#........#.....#....#...#....#.........#.#.#......##.#....#........#..........#..#....#..#......#..#..###......#......#...##....##.#..#......#........##...#.#.#.#..#..#...#...#...#....#.#.....#.#.....##....#.#....#......#.......#......#.....###.##......#..#........#.#.....##.#..#...#...................#..#.......#...#......#...#.#......#......##...#...........#.#..#.##............#..##.....#...#.#...#......#.#.###..#.#........#........................#.#.........#...#....#.....#........#.........#...###.#.#.#.#....#..#..#.#.###.........####.....##..#...##...#......#.#...#.....#...#....#.......#..###.................#..#.#..#........##.........##
.#..#.#..#.#.....#.........#..........#..#.....##...#.##.......#......##.#....#.#..##..##...#.....#.#....#.......##..#......##..#.#..#..###.#....#..##...#...###......##.#....#..#..#..#.....#..#..#....##.##........##.........#............##...##...#.#..#...#..#..##..#.......##..............#......#...#...........#...#............#.#.#..........##..#..#...........##..#.....#....#...###.##.....##.#......#.#...........#..#......#..###.#...........#.......#.....#....##....#.#......#..#.##...#..#........#.#..#..#....#.##.#........#..##.#.......#.#...#...#...............#..#......#.....#....#.##.......#.......#..##..##......#............#...#.#...#......#.....#.......#.....#.......#..............#........##..##........#......##.###...#.........#............##..#.#...##..#.....##.....#...#.......#......#........#...#..##...#.................###.......#.#.#....#...........#.........##.#...########..##...##.#..##.#..#.....##...##...........#...##..##.............#..#.##......#......#.....#...
#.#.#.#..........#..#....#...#........##...#...........#.......#......##...#.##.##.##...#.............#..#....##..#....#....#.....#......#..#....#.###.......###........##...##..#.....#........#.......#......................##............##..##.........#...#..##.#...#...#.......#...##.........#.....#.##..#...........#..#....###.##...#....##....#.#.#..##.#............#.#...#........#.#..#......#.#...#.....#...#...#.#............###...#....##...###.#..........##...#.....####..#..#...###...#...#....##.........#...#.....##.............#.....#...#.......#..#..#..#.........#....###....#.#.#.#..#...........#..#........#.#....#.#.....#....##.......#..#.......#..##........#.#.#.............##....#..#.#.....##....#...............###..#...#...#....#.......#....###..#.#..####.#.....#......#.#.........##.....#....#...#...#...#..#...........#.#.#......##..#.#.#............#...#.#.#.#......#......#####.....#.........#..........##.....#.#.#.#........#...................#.#...#.#......#..#.......#.##
#...#...#........#..#....#..........#.##.#.....##..#..#....#...........#..##.##.##.##...#...........#....#...#...##...##.....#.##....#..#.#..#.....##....#............##............#..#.....#...........#.......................#.....#..#.#.....#...#......#..#...#....#........##......##.........#...#.......#.......#......#....#.#..#........#....#....#.........#.........#....#....#....##..#......#...#.##.#.#....#...#.#.#.#...#....#.#...#......#...##.#....#......#...#.......#..#...#.#...##..#.....#.......#..#.......#.#..##.....#.#..#..#.#...#.##.........#..#.#..#........##................##.##..#..#..#.....#.#.##..##....#..................#..#.#.......#.....##.#....###.#.#.............##.........#.....###..#..#.....##......###.##...#.........#..#...#.#.......#...##.##.##....##.....#.#.........#.#...#................#.....#......#......#.#..#.....#.#................#.#...#....#..##.#.........##........#....##.#..##...#.....##...#.......#..##....#..........#..#.##....#....#...##.......#.#.
..#.#....#.......#..#........#..#.#....#.#..#..##..#..###..#...#.......#.....#.........#..###.#.......#..#.#.#....#............##..#......####.#.#.#.....#.#............##....#..#..#..#.....#..#.....#..#...........#...........#.....#..#.##.............#....#..##..#.#......#.................#..#.....#..#......#...#..........##.#.##.#.......#...##.#....#......#.....#..##....#........#.#.#......##.#.#.##....#..........#..##..#..#...##..#...#.#.....#..#...#..........##....##.........###..#..#.....#.#...#.#..#...#...#.#..#.#......#...............#...#.#....##.#...#...............#....##...#..##..#....#......#.#.....#..#....#.......#..........#..#..#..........##.......##.#.........#.....##....#....#......###..###.....##......#..#....##........#...#...#...##....##..#.###..#....#....#.............#......#.............#..............#..#...#.#.##.###............#..#..#.##..#......#.........##.###....##...#........#...#....#.......#.#.#.............##...........#......#..#...........#.....#.#.
......#.##.......#.........#.#..#.....##.#.#....#..#...#...#...#......#...#.....#..##..##.#..##...#...#..#.#.#....#..#.......#..#....#.....#..##.#.###.........#.......###...##..#..#........#.....#....##.##........#...........#.....#....#....#.......#.###.....##..#..#...#...#...#...#..............#..........#....#...............####....#.#....#....#.....#.........#....#..##........##..##.....##.....##...##...#...#...#.##....#..#.....#.....#....##..#..........#...........##.....#.#####...#..#.............#..#...#......#.......#.......#...............##.##.#...........#......#.....#....##.##........#......#..##........#.#................#.#...#......#......#.#.....#..#.#..............#...#...#..........#...........#......###.##............##..#...#.........###..##.#.##...#.....#.#.#.....#...###....#.....#..#....#..............#..#.#.#...#..#.#.....#......#..#.......##...#..#...#......#.##.##...##...#....#.....#....#.....##...#.......#.......#............#...#..#..#....#.#.#............
#.#......#.#.....#..#....#.#.#......#.#....#...#....#.#....#...#......##.#...##.#..##..#...##.#...#.........#.#...#..#......##.#..#..#..#.#.##...........#..##.#.......#......#........#........#..#..#....#........##.#.......##...........#....###.....#..##.....#.....#......#.#...#....#......#..#...##......#..##...#...#............##..#.........##...#...#.#...#....##..#....#.....#....#..##.#........#.##.#.##...#...#...#.##..#.#...###.##....#.#..###............#....##....####..#....#.......#..##...###.#.#.........##..#........#....#..#.#.......#...#...#.........#.......##....#.#......#............#.....#....#........#......#.....#...........#.##......#......#.#.....##.#.#...................#....#......#.....##..............#......##...#....##..#.....#..##...###.###.........##.......#.#.......#.#.............#...#...#..#.#......##.#.#.#.#....###.#.....#....#....##..#.##.#.#..#...###.....#.#.....##..........#....#....###...##...#.#.....#....#..#...........##.#.....#......#....#.#.......##
##..#.##.................#......#.#.#......##......##.#....#...#..........#......#.##......###......#....#...#.#................#.##....##...##.....##.................###..........#..#...........#....###.........##.................#..#.#.#...##.....#.........#..##.##.......#...#...#.......#..#.........#.#..##...#......#...#.##..##..#..#.......###................#....#.........#...#...#..#....#...#.#..#.#........#.##...#....##.####.##...#.....###..#...#.....##.........#.##.#.............#...#.#..##...#............#..#.#....#....##...........#.......#.....#...#.......##....#.......##.##...#..#..#.#.......#..##..#..#..#........................#......#..#..#..#........#...............#.....#..#.#.....#..#.#.#.......#.....#.##......#...#.#......#.......####.#.#...##.#.##...#.......#.#.....#...#.....##....#...#...........##.........#.#....###...#.#.............#.#...#.#.......#..#.##...#......#..........#..##.....#...###...#......#.....#.......#...........#..#.##....#....#.#..#...........
#.....#.##.#........#....#......#.#.#.##...##...#..##..##..#.............######..#......#.#.........#.#......#.......#.#.......##..#.#...##....#.#...#...#.............#.#...#......#.................#.####........#..........#.#........###....##................#..#...........#........#......#..#...#...#.#.#...#..........#....#.#.####.#..#..#...#..#....#......#....#...#....#.....#...#...##.#....#.....#.........#...#.###.#...#....##.#..#....##...#.#.#..........##...#.....#.#..##..#.#.##............#.#......#..#......#.........#.#..##.......#.##....#.#.#........##.....#..#.....#.....#....##.#........##.......#.##..##......#.#.....#.....#.....#.#..#....#.....##.#....#.#..........#......##...#.....#......#.............#.....#####.#..#...................#.#..#.##.....#........###...#.#.#.....#....##....#....#...........#....#.......#.#...#.#..#.#.#...#.#......#..#..#.##.#..#.#.....#..#...#...#.##...#...#.....#.....#....#......#..............#.#..##.....................#....#......#.....#.#.
.#..#.####.......#..#......#.#......#..#....#......#.......#...........#.#......##..#.....#..##.....#.#..#.##........#.#....#..#..##....####.#.#...##....#...#.#.......##........#..#........#........#..##...........##.........#.....#....###..#....##.#..#...#..##.##.##...#.#..#......#.......#..#....#..#...............#......#....#.........##.....#............#.............##....#....##.##.....#..#....................##..#.........#..##...#......##.............#...##....#....##..#...#.##..#..#....#.#.#.................###......#..##.#.......#.....#....#..#.....................#....#.#...#.#...#.....#..#..###..#..##.#..#.#.......#....#.....##....#....#..#..#........##...........#...........#..........#....###......#........#..#...#....#....#...#.....#.#....#.....#.#..##...###.....#...#.......##....##........#.......#..#........#........####..#....#.#.#....#....#..##..#..........###...#..#..##..#..........#..#..#....##.......#...#........###..............#....##.#.........#.##.........#.
........##.#.....#..#....#........#.#..#.#..#..##...#.#....#..........##..##.#...#..#..#..#.##........#....#####..#....#....##.....#.#..##.#..#.....#....#..#.#..........#...##..#...........#..#..#....#..#..........##.......##.........#..#...#.#.....#.##...#...#..#........#.....#...#...............##...#.....#..............#.##...##.#..#.##....#.#.#.....#...#....#...###..##........#...#......##.....##..............###.#...#..#.#.##.#....#.#...#...##...#.....#....##....#.#..#........###.....##.#...#.#....#..##...#.#.........#.....#.#.#...........#.........#...#..............#......#..#.......#..#..#..#...#..##..#..#..#...#...........#....#..##.#....#......#.#.....#....................................#.#..###......#.....###......##.....#..##...............#.....#.##..#.....#.............#...##....##....##..#...#..#.....#.............#..###..#..#.#........#....#...#.#.......#............#..##..#.....#.#.........#.....#...#..#...#.....#...##...#..........#..#..#..#........#.#..#........#
........#..#.............#.#.#..#.#......#.#....#...#.###......#......##...#.....#.##..#..###.#...#.#....#..#....#.....#....##.#........####..#.............#.#........#.#..........#..............#.....#.##........###...............#....#.#..#.....#...#........#.##.#....#.#.....#....#..............#...##....##...#...#......##...##......#.#......##.....................#...##.........##....#......#.#....#.#....#...#.....#......#.###..#.....#.#..##.......#.....#....##...............#...#...#..##.#.#...#....#...#.....##.#...........#........#..#............#.#...#.....#.##......#.....#..###.##..#..#.##..#..##..#...##......#.......#........#.#...#......#.....##.#.....#...........#.......#...##..#.#.......##.####............#.####........#.#..##..#.....#......##...##.##.##.....#...#...#.....#.........#.............##.##..##............#...#.#..........#.#.......#.#..#...#.#....#...#......#..#..#....#..#..#.....#..#.....##....#.#.#.......#..##...##...........#....#.##.#.........#.#........#
#.....#.##.#........#....#......#...#.##.#..........#.##..............##.####.#.#..#......###.#.....#.#....##.#.......##.....#.#..#..#...#.#..##.#...#.....#.###.......#.....##.....#..#..............#...##...........#.........#........####...###..#......#.........#......#.......#...##.................#.#.#..#........#..#...####..##..#.....#....#.#.......#.........#...##..##........###.........#........#.#........#.#...#..............#...##....#...##.....................##........#.#........##.#...#.#........#..##.....#.....#....#....#...#..#......#....#.....##...............#.....##...#.##.......##..#...#..##..#..#..#.#.......#...........#.#.......#..............##.#.....................#....#........#...#......#.......#....#...#...#....##..#...#...#.#...##....###..#...#...........#...#...#.....##................#....#......##.#.....#.#...#..#.....#............#.....#.......##......####......#...#..#...#.#..#....#.#...#..#.............#....#..........#....#.....#....#...#............
..#.#.#.#..#....................#.....##.......#...#....#..#...#......#...#.#.#.........#...##......#.#.....#.##.##.........##....#.....##.....#.#..##...#.###........#......##..#...........#..#.........##........#..#.......##.........#.###....#..##.#..##..#..##....#........#...#...##......#......#.#.##..#..#....#...#.......#.#..##..#..#.##.....#........#.........#...##................##........#...##.#.#....#.....##..#......#..###..#...##.#....#......#.....#.....#....##.#.#......#.##...#..##....##......#..##......#..##......#...#.......#.###...#......#..#..##.....#.##....###........###..#..#...........###.#.........#.........#....##.....#.##.............#......#...#.........#......#.......#.#.......#....##.....#......#.##.##...#...#.#..##......#....#...####....##.#.....##.....#.......#.....#....#.....#..#...##.##..#.........#.#...#.#..#.........#......#..#.....#..#...........##...#.#..###........#....##.....#...###...##.#...#.........#...#..............#....##.#........#........#.#.
#......###.................#.#..#.....#....#.......#..##..............##.##.###....##...#.#####.......#....#####.#.............##.##....##..##.#...........#.#.........#.....##........#.....#..........#.#...........#..........#.........####..##...#..#.#.#.........#.##.......##..#...##......#......##..#.#....#........#..#...#.##..#.#....#.#.....##.....##.....#....#..............#...#...#......##.#.#......##.......#.#....#..#.....#.#..#...#......#.......#................#.#..##..#.##.#.#..#..#..#.....#.#..#.......#.#..###....#.#..#..#.....#..##...#.#..#.##.............#.....#.......#...#......#..#..#.......#..#..#.....#.#.#.....#.....#....##.#.......................#...#.......#.....#................#.#....##...............####..##.....#..##..#.......###..##.#.##....#....#.#...#...#.....#....#....#......#.......#.#....#........#.#.#.#..#...#.#...#.#......#.......#.#...#.#..#...#........#...#...##..#...........#....#.#....#...........#.......##...............#..##..........##.......#.##
....#.#..#.#.....#..............#.#.#....#..#...........#......#......#......##.#..#...#..##..#.......#....##.#..#.....#....##..#....#..###.#..#.#.###.....###.#......#.........................#..#..#....##.......####........#..........##.#..#....#.....##..#...#.....#.....#.....#...##......#..#....#..#......##..........#...#.#....#..#....#....#..#.......#...#....##...##..##....#...###.#.......#.#.#...............#.##...#....##..#.#.##....#......#.##..........#....#.....#....#.....#...#.....#....###......#...#........###....#.#.....#.......##......#.##....#...#.......#......#.....#.#.#...##.......#...#...##...........................#...............#..#...#.#..........#.............##...#...#.#........#.##.#.....##.....#.#.##...#.........#.......#.#..#...#..#...#.........#...................#...........#..#...##.##..#.#...............####...#.#...#......#....#..#.#.#...#.....####...#.###..#.......#..#...#.#.........#...#....#..........###..##...............#...#.#......#.#..#.....#..#
.##.#.##...#.....#..#....#.#....#.....##.#.#....#..#..#.#..................#.##..#..#..#..#.......#...#..#..#.##.#...#......##....#......##.#.##.#.........#..#.......#......#...#..#...........#..#..#.#..##........#.#........##........##.##....#...#.#.........##..#......#.#.##..............#.......#...#......#.......#.......###....#.#....##....#...#.....#........#...##...##.............#..........#.#....#....#.....#.#.....#....####..#...#.##....#.#....#.....##...##.....###.......#...#...#.....#...#......#..#.......#..#.....#....##.#.#.....#.........##..#....#.........#....###....#.#..#...#.......#...#...#..##...#......#.#..........#......#.##......#.....#...........#.#......#......#................#.#...##......##.....#.####...##.....#..##..#.......#.##.###......#..#...##....#...#.........#......#.....#..#...##.....#.#......#..#...#........#.......#....#.......#####...#..#..#..#.....#.##.....#...#..#..##....##...#.#....#.#.#.#..........#...#...........#...##.........#...##.......#...
###.#...##.#.....#..#........#....#.#....#..#..##...#...#......#......#..#..#......#...##...#.......#.#....#......#.........##.##........#..###..#.........##...........#.....#..#..#...........#..........#........##.........###.....#..#.##.....#..#..#..........#.#..#......#.#........#.........#...#...##..#..##...................#.##......#.....###.#..#...........##.............#.......#..#....#.#...##........#.....#.......#..#.#..#.##....#....##..##.........##.........##.#.#...#..#.###........#.#.#......#..##..#...#...#....#.#.....#.#...#...#...#.#.##.#............#.......#......##...##.##..............###.#......#..#...#..........#...#.##....#.......#..#.......#.............#......#....#....#....................#.........#.#..##........##..#...#...###..#.#..#.....##.........#.#.#.#........#....#.....#...#...##..#...#.......##.#.#.#.##...###.#.....#....#..#..#.##......#..#..####...#..###....#....##.......#.......###....#.#.........#....#...#..........##...#...#......#.#.##.#.....#..#
###.#.#....#.............#........#.#..#............#.###......#......##.#..###....#....#..#......#......#...#.#.##..###....#...#.#..#...##.###..#..#......###........#......##..#..#........#........#..#..#...................#.........###.#...##........##.....##.#...#...#.#.........#..........#...###...#....#........#..#...#.#...###.#..#.#......##....##...........#...#...#.........###........#....#...............#..#......#..#.#..#..#...####..##...#..........#...##.....###.#......#......#...#...#...........##...#.##.###......#..##...#......#.........#................##......#....##....#..#.......#...#..###..#...#.#......#..........##..#..#.##.#....#..#..##..........#........#.......#...##....#.....###...###.................##..##...#.....#..#...#.#......#.#..#..##..#....##...#...#.#...#...#.#...##....#...#...##.##...#.......##.#...#...##..##...#...#..........#.##.#..#.#..#..#.......##.##.#...##.........#....##....##...##.#...#........###..............#....##.##......#...#..#.......#.
.##.#.###.......................#.#.#.##...........#....#..#...#.......#.#...#..##.#......#..#......#.#.....#.##.##..#.#........#....#....##.....#.#.....#.##.#.......#.##...##.....#..#.....#.....#..#.#..##.......#..........##.........#...#..###...#.#...#..#..#..##.#....#....#......#.......#..#...##..###.........#...#.........#.#.........##...###.................#...#..............#..........##...#..#...#....#...#.#.#.#......#...##.#....##.#..##..#....#......#..........#...#.....#...#...#...#.#..#..#.#......#......#.#.#....#.#..#..#.....#...#...#.#.##.......##....................#.#...#.##.......#......##..#...##.#....#.#...................##......#..............##..........##.....##...............#.....###.....#.........#..........#.....#..#........##..##.#..##.#..#....#....#.#.#.#........##....#........#...##..#..##.......##.#.#....###...#.#.#.#......#.....#..#.##.#.#......#.......######..#.#..##.#..#.....##....##...##...#..........###..#............#.#.##.........#....#.#.....#.#.
#.#.#.#..#.#.....#...........#......#..#.#.##.......#.##..................#.###.##.#.........##...#.........##.#.##..##........#...#....##.##....#.##......##.##......##.#...##..#.....#.....#.....#....#.#.........####.......##.........####...##...#..#.##...#.....#.......#.#..#..#...#...............#...#..#..##.......#........##.........#.#.....#.#.#..##.....#..........#..##....#...###.#......##.#.#.#....##.......#..#..##........###.##...##....#....#...#......#............#..#..#.#.#..#..........###...#............##.###.........#..#.......##........#..#..#...........#.......#....#.#......#.......#...#..###.##...#.#......#.....#.....#..#....##.#....#......#.#.....##.#.#.............#.....#..#........#......#......#.....#.........#...#....#.......#...##.#.####.##.....#.........#.#...#...#...###...#.....#.......#..##...##......##.....#.#..#...........#.........##.#####.#.#.....##.....##.####.....#..##.#..#..#........##...#......#.........##..##..........#..#..#....#....#.#.##.#.......#.
..#.#.#....#.....#..#....#.#.#..#.#......#..#...#..##.###.............#....##...##.#....#.#..#...........#.....#.#....##....#..#.....#...##.#..#.....#.........#......####...##..#..#........#........#.#.............#.........##.....#..#.#.#.......#....#.......#......#...#....#......#.......#..#...#.#...#.#..............#......#.#..#.#..#..#........#..............##..#.....#....#....#..##.#....#...#..#.#..#..........#..##..#.##...#..##...#.##...#..#....#.....#....#......#...#.....##.#.......#..#...#.#.#..#......##.#...............#.........#.......#.##.##.#.........#.#.......#....#...#..........#..#..#....#.#...##....#.#.#..........#...#.#..#..#....#..#...#......#.#.#........#......#....#...#.#.......#...###..............#......##...#....#...........##.#.#..#..##...#....#.......#.#.#.......###...#.....#..........#.....#......#..#...#.##...##..#..........#.....#..#.##......#...#.#....#.#...#....#..#..#..#......#...##....##...........#..##....................#..##.#......#..#.........##
###......#...............#...#..#........#..#.......#.#....#...#..........##.##..#.#...##.##.##...#......#.##....#...#.#.......#.........##.#.#..#.........###........#.##.......#.....#..............#....#........#.#.........##.....#...##.#...##...#.#..#...#.....##..#...#.......#...#................#..#.....#........#..#...##.#.#....#..#.#......#..#.....#...#....##..#.#...#....#....#..##............##.#.##...#...#.##..#...#..#...#..#.....###.......#..........#...##....##.#.......##...#..#...#.#.#.#.#....#...#..#.....#........#..##...#.....#.......#....#..#..#...............##.....##..##........#........#...#...##..............#.....#....#...#.....................#...........##..........#...........###..##.......#.......#.##.#.......#............#.#.##.#.###..#.#...#..........#.#...#........#...........#..#......#...##..........#...#.###..###.#.#.............#..#...#.#....#...#.......#.##.#..##......#...#.#...#....#...........#.....#....#..##..........##.#....#.........#..........#.##
##..#.##.#.#.....#.......#.#.#....#....#.#.##..#.......##..#...............###......#..##.#.#.#.......#..#..#..#.....###.....#.#..#.....##...........#.........#......##.....##..#.....#.....#..#..#.....#.##.......##.#.......#..........#...#..##...#..#............##.##.......##..#...........#......##....#.........#...#..#......#.#.##....#.#......#..#..#..#.............#...#.............##.#...##......#.#.#..........###.##....#..#..#.#....####....#..#...#......#.........#.#..##.....................#..#.#..#...#..#..#...#.....#.#..##.......#..#......#.##..#.....#..............#.........#...##.......#......###..#..#..#....#................#..#....#....#..#.....#.....##..........#......#....#.....#.....#.##....#......#......###.##..#.........#...#...#.....##.#.##.###.#.#.....##...#...#.....#...#.....#.....##..........#....#.......#.#.#.#...##.#...................#..#..........#..####.....#..#......#...............#...##.......#.#.#.....#....#...................#..##......#.#.##.#........#
#...#.####...................#......#.......#..#...##.##.......#......#....#....#......##.#.#.....#.#.#......###.#.....#....#..#.....#...#.#####............##........#..#.......#...........#.....#.......#.........###.......###.........#.....#.....#....#......##.#..##.....#.#...#....#.................###.#..#........#..#......#.####......##.....#..#..##....................#..........#.##.....#......#....##.......#......#..#..#..#.#.#....##....##..#...............#......##...#......##.#..#..#.............#...#..#...#.#.#....#.#..##..........#....#.#..#..#...........#..#....##......##.........#..#..#.....##...#..#.......#.......#....#...#.......#.......#..##.#......#.#.........#...........#..#.#.....####...#.............##.#..#..#......#......#...#....##.......#.#........#.#...#.#.#...........#...##.....#......#..#...###......#..#.....###..###.#.#.#.#.............###....#..#..####.........##..#.#..##.#..##....#.....##...#...............#.#...............#...##..#......#......#.......##
##....#.##.#.....#..#....#.#.#....#.#....#.##......##..#...#.............###..#.##..#..##...#.......#....#.####......#.......#.#..#..#....##.#.#...###...#.....#......####...#...............#........#..####........###........##.....#..##.##...##..#..#.##...#...#..#........#..........#......#..#.......#.#.....#...#...........#.#..##.......#....#.......#...........##...#...##....#...###.##.#...#....#.......#.......#...#.#......#..###.#....##.#..#.#..#..............#.....###...#....#....#..........#.#.#.#.....##..#...#.#.#....#.#..##...............#.#..#.#............#..............##...#..##..#..#..#..#...#...#..##.#....#.............#..#..#....#....#......#.#.....#....#..............#...##..#.#........#...#.......#......#...##.......#........#...#.#....#..###.##.#..#....##......#.......#...#.....#..............#..#...#.......#..#.#....#.#...#............#........###............#....#.#####....##.....#.........#....##...##.#............##...#...........##.......#.#........#..#.......#.
..#.#............#..#...........#.#.#.#..#.#...#......#...............#....##.#.##..#...#.##........#.#....###.#.....###.....#..#..#....##.##.......##.......#..........#...........#........#.....#.....#.##........##..........#........##......#...##....#..........#........#.#...#...#.......#..#...#.#.#...#...#..........#.....##.##........#....###......#...............##................#......#..#......#......#...#...#..#....#.......##....###..#...##.........#....#.....##.#..#..#..##.##..#..#..#..##...#..#..##.....##...#....#.....#...#...........#.#.#..##.............#.....#.#.........#..##.......##..#..#.#.##........#.#.#...........#....#..##......#..#...#.#....#.#...#.............##.......#.......#.#..##.#......#......#..##...##........#...#.........#.....#.#.###.#....##......#.#.#...#...##.....#....##......##.#...#.#......#..#.#...##.#.##......#...........#.....##...#..#..#........#.#.##..##......#...#.....#....##...##.#.#.#.....#....................#.#.#..##...........#.......#...
.##.#..###.......#.......#.#.#..#.#....#...#.......##...#.............#...#..##.##........###.....#........#..##.#.....#.....#.##..#.#..#.###........#.....###.#.......#.....#......#...........#.....#.##..........###..........#..........#......#............#.....#..##.....#..#..#...#..........#...##...#.....##.......#......#..#.####.#.....#...##.#.....#.#...#....##..#....##....#....#............#....#.#..........#.#...#...#.##.####.##......#..###..#.........##...#......###..#..#.#...#......##.#..#....#.....##..##.##..##......#..##...#......##...#...#.....#..##.......##......#....#.....#.....#..#.........##..#.....#....#.......#....##....##..#......#......#......###...........#.....#....##....#.....####.#........#......##..#...........#......#...#....##..#.#..#.###..#...##..........#.............##....##..#....#.##....#......#....#.#.#..#..#....#...#.............#..#.#....#..#.......#.#...........#..#........#...........#.#.#.......#..#.................#.........#......#..#.#.........
..#.#.####.#.............#.#..........##...##..#....#...#......#......#.....###..#.#...#....###...#...#..#..###.......##.....#.#..##....###..#......##.....###.#........##...##.....#..#........#..#..#.#.#.........#.##.........#.....#..##..#....#..#..#.#....#.....##.#....#...........##......#..#...#.#.###.#..#....#...#..#.....#...###.#.....#...#..#.#.........#.....#...#.........#...#...#..#...##.#.........#.........##........##....#.##...###....#.............#..........##.........#..#.#..#..##.#.###...#.....##...#..#..##....#.#...#.#.#......#....#.#....##.#.........#.##...........##....#.....#....##.....###.##..........#.#.....#..............#.#..........#.......#...#.#.......#......#...##..#.......#.##....#.....##........####.........#...#......#.....##.#.##.#.###......#.#...#.#.#.....#....##.........##..#..........#...............#.###...##.#.....#.......#..#..#.#..#....#..##.#.....#..###..###........#..#...#.........#..#.........#..#.#...#..........##...#..#............#.......#...
#...#.##.........#.......#.#....#.#.#....#......#......##..#...#......##...##.#.##.....#..##.##............#.#.#..#...#.....#..#..#..#...#####.....#.....#.###................#.....#..............#..#...##........#......................#.##..#.#...#...#.......##.....#...............##...............#.##..#..##...#...........##..#.......#..#...#.#......#.#...#....#...###..#.....#....#..##.#...##.#.........#...#...#..##.##..#.##....#......#..#..#.#.##...#.....#....##.....#.#.......#...#...#..##.#...#.#.......#....#..#.#......#.......#.....#.##....#.#..#.#..#...#.......#............##..#.#.##..#..#.##......##.##.....#..#...#.....#.....#..#.#.....#..........##.#....##....#......#...............#.........##.####............#.#.##...##...#.#..##..#.......#..#...#..#.#...#......#.......#.#.......##..........##..#.......#...#..........#.#.#...#...##...#.#.#....#..#..#..#..#.#....#...#.#...#......#..#.#...#.#.....#.........#....#................#...#...........#.#..#.##.#....#.#.##...........
.##....###.#........#....#.#.#..#.#............#...#...#.......#......##.#..##...#......#.####....#...#....#.###.....###.......#..#..#..####.....#...#...#....##......####...##..#..#...........#.....#..#...........#.#...............#..#..##...#...##...#........#.##.##...#...#...#..............#...###.##......#...#..........###...###.#.........##.#.....#.....#.....#..#....##........###..#.#...#......##...#....#...#.#.........#....#..##..........##.##.........#....#.....###..##..#.#.##....#.....#.......#..#...#..##.#..#.#..............#.......#...#....#........#.......#.....##.....#.#.#...##..#..#.#......#.#.....#.....#...#.....#..........#..#..#....#..#..#.........#..................#....#....#......#.#....#.....##.....###.###...#.....#..#.......#.#.#.....##.....##..#...##....#.#.#.........##....##........#...#..#............#..#.....#....#.#...#........#....##....##...#.....#......##.###....###.....#..##.#..##.....#....#...#..........###...#.............#..#....#....#...#..#.....#..#
.##.#.##.#.......#.........#....#.#...#.....#..##.....#........#......#..#.#....##..#...#..####...#...#..#.#...#.....##......#..#..#.#....#..#...#.###.....###........####...#......#..#.....#........#.#####.......###........###..........#.....##..##.....#.....##.#..##...#...#.......##.............###.....#..##.......#..#....#.#.##.#.#.....#...#.#........#...#....##...#...#.....#...#......#...#......#..#.#........#...#..#..#..#.##...#....###.....#..#...#.....##.........#.#..#...#.#.#.#.......#....#..#........#..#...#..#.....#....#................#.........#...#.......#.......#....###..##..#.....#.#...#..#.#..#...#.#..#...#..............#.#..#.......#.............#.....#.......#......#...#...#.#.....###...........#........#.#.#...#...#....#.......#.#.#.##.###.....#........##...#...#.........##....##.....#.......#.##..###......##.#...#..##....#...#........#.....#.##.#....#.....##.#....####..#....#..#..#...#....##....##...#..#...#........##...............##.#....#...........##.........#.
#.#.....#...........#....#.#.#..#.#.#....#.#...#...#..................#..##.##..........#..##.....#.#.#..#.#.#.#..#..#......#..#..##.#...#..###....#.#...#...##........#.#...#...#..#..#........#..#....##.##........#...........#.....#..#####.......##.#.#.#.....##.##..........##......##..................#......#..........#...####.#.##......#....#.##.....#..............#....#.....#.......##.#...#....#.##....#...#.....##...#....#....##.........#..#....#.........#....##......#........#.#.##.....##...###......#..##..##.#...#.......#.......#.....##....#.#.#.................##.....#.....###.###.##...........#..##...#...#....#.#.#..........##..#.#.....#....#..#..#.......##...........#...........#...#............#.#.............#######...#...#....##......#.#.#.##.#.#..#.###..#...##..............#....#....#.....##..........#................#.#.#..#.#...#.#.#......#..#........#.#.......####...####...#..#.#..##.#.....#..##.........##.....#.....#...##..##.............#.##.##.....................##
.##...#..#.#.....#.........#....#.#...##.#.##..#...##.##...#...........#.##.#.#..#..#..#..#..#......#.#..#.......#....#.....##.#..##.#..###.####.#.#.#.....###........##.#...##..#.....#.....#.............##.......##.#.......#.#...........##...##..#......#..#..#.....##........#..#...#...............#..............#...#..#....###..#...............##.#...#.....#........##...##....#...#.#.#.............#..#.##..........##.....#.....#.#.......##...###......#..........#.....#....##....##..##..#..##.....#.#....#.......#..#.#.#....#.#.......#.....##........##....#..#......#..#....##.....###...#.....#....##.........##.....#....#.#..........##.....#.##............##.#....###.#........##.....##...##....#......##..#..#......#.....#.#..##..##.....#......#.......#....##...#####.#......#.....#.#.........#............#..........#..#.........#...#...###......#...#......#....#....##..#.#...............####........#..#.....#..#....##....#......#.........#...#...........#..........#........##.......#.#.
.#..#.#.##.#.....#.......#...#..#.#...#........##...#.##..............#..###....##..#.......###.....#.......#....##...#......#..#.##.#....##.#.#.#.#..................#.#....#......#..#.....#..#..#....###..........##........##..........#..#..##...##...#....#...#.#..##.....#.........##.........#.....#..#..#.......#...#......#..#.###.....#..#......#.....#.#...#....##...##..#.........#.#.#...........#....#.#........#..#...#..#.##.##.#.##...####...#.......#..........##..........#..#..##.....#..#..#.#...#.#..#..##...#..#........#....#..#........##.....#..#.#......#.............##.....###.#...#......#..#..#..#....#..#..#..#.........#....##..#....##.#..........#.........#.#.#......##.....##....#...........#....##......#........##......#................#...##....#.#...###..#.....#...#...#.#...#....#.....#....#...#....#..#..#.................#....###...#.#.#....#....##.#.#........#....##...#...###....##.........#.#.......#.#...#....#.#.....#....#..#...........#..#.##.#..#......#....#.....#.#.
##.....#.#.#.....#..#......#.#..#...#..#.#.#...##..##.###.............##.#..###..#.....#..#..##.....#.#..#.#..#..##..###....##..#..#.....##..##....###...#..#.#........###...##........#.....#.....#.....#.##.......#..#...............#.....##...##...#.#.#..........##.#........##..#....#......#..#...#.#..#..........#...#......#..#.#.##.......#.....#......#.....#....##..###..##....#....#...#.....##.#.#.#.....#.......#..##.##.....#...........####..#....#.........#....#........#.......#...##.....##.#.#.#......#..#....#.#.........#....##.#.#.....#.#...#...##.##.#..#.........#....#.#.....##..##.....#..#.##..#..#.#.....#.....#.........#.............##.........#.....#....##............#......#...#...#.#.....###..#.##......#........###....#.....#..............####..#...#.#.#.##....#....#...#.#........#.....#....##...............#.................#..##....#...#.........##.#..#..#.........#.....#..#.#...##...#..#..#..#.......#.....#............#....#..##..........##.#..#..#..........#..#........#
#.#...##...#.....#..#.............#.#..#.#.##..##..##.#.#..#...........#.#.###..#.......#..#.##...#.#.#....#......#...#......#.............#.#.#....##...#....##.......#.#...#...#.....#.....#.....#................##..........#.........##.#.....#.......#...........#......#.......#....#.........#...#.#.#.#....#................##....##....#.##...##.......#.#............#.#...#........#...#.......#.#.............#...#.#...#.....##.#..........#.#......#...............#......#.#.##..#.#..........#.....#..#........#..#...#...#.........##...#...#..#......#.......#..#.........#....##.....#.#.###.##.......#.......##.##..#..#..#.#.......#....#...#....##............#..#.....##..........................#.......#.##..##......##......#.####..#..........#..#........#.#.##.#.#..##.......#..........#........##....#............#.......##......##...#.....#..#...#...#..............##.#....#..#...#.....#.#.#.#....##..##.#...#.........#.#..........#........###..............##.#..#....#...........#.....#..#
.#.......#...............#.#......#.#.#.....#..##..........#...#.........#..#...#...#........#......#......#.##..#...#.#.....#..#.##.#..###....#....#......##..#......#..#...##..#.....#.....#..#.........##..........#........###.........#.##...##...#.#.###.....#......#...#...##..#...##......#..........#......#...........#....##..###..#....#....##.#...........#........#.#...#....#....##....#...##.#....#.#.............##.#......#..###..#....#.#..#.#..#..............##.....##..#.......#.#......#..#..#...............#.#..#......#.#...#...#...#.#.....#.#.##.##.....#.....#.##.....##....#....##.#...............#.#..#..##.#..#.........#.....#..#.#.....#....#..#..........##..#.#......#......#....#.....#.....##.#.#.##......#.....#.##.##..#.........##..#...#.....#..#......#.........##...#.....#...#...###...##....##..#...#..##..##........#.#.#.#....#..#..#.#.#.........#.##.##.##.#....#..###....#....###.......#......#.#........#.....#.#.#.#........#.....#..........#....##..#.#....#....#.......#...
##..#.#.##..........#....#........#...##.#.##..#....#.#.#..#...#.......#........#......##..#.##.............#.....#....#....##.#..........####.....##.......#..#.......#.........#.....#........#.......#...........#.#........#.......#..###.#.......##...###..#.....##......#.#.##..#....#.........#...###...#.#...#..........#...#.#.......#....##.....##....#..#........#...#....##....#...#.#.##.#...#...........##..........#......#.##.##...........#..#.#..#.........##...##.....#.#.##....#..........#..#...#.#....#...#..#......#..........##.......#...#...#...#.........#.....#.##....#.......#..##...#..#..#..#..#....#.#...#.......#.#.....#....#...........#.......#..##......#............##.....#....##..#.#.....#.#....##.....#......##..##....#........##......#.#...#........##...#......#.....#.......#....#..........#........#..#..##.......##.#.#.#.##.#.....#.#.#.#.......#.##..#.#.......#..#.##......#.###..###.........#.....#...###...##..............##....#..................##.#....#.#....#.......##
###.#.#.#..#.....#.........#....#...#.#..#......#...#......#...........#....#.......#.......#.#...#.#....#..#..#.#..........#..#..#.....##.##.......##.....#.###......#.#.....#........#.....#........#.#.###.......##.#.......###.....#..#.......#........##.......#.##.##.....#..#......#..........#....#....#.....................#.#..###.#..#.#.......#....##..........#...##...##........###.........#...#..#.#..#...#...#.##...#..#.##..##..#....#..#....#..#.........##...#.....#....#...#...##.#..#..#..#.#.#.........#......#...................#.....###..........#..#..##.....#..#.....#.......#.##..#......#.##..#..#.#.#...##.#............#....#........#.............#.......#...#........#...........##..........##...#.#......##.....###.###..##........##..#.....#.####..#.#....#..#.....##.....#.#...........#...#.........#...##.....#........##.#.#....###.#.#...#.#......#.....#..#.##......#..#.##...####.#.....##...#.#..#.............................#...##...#..........##...##.#..#......#.............#
.#..#..###.......#...........#......#....#..#......##..#.......#......#..##.###..#.##..#...#......#.#....#.##.##.##.........#..#..........#..#...#.#.......#.##..........#...#......#..#...........#..#..#.##.......##.#.........#.....#....#.#..###.......##...#..##..#.##...#.#.##......#.......#..#.....#.##..#...#.......#..#...#.#.......#..#.........#....#......#.....#...##...#....#...#...#......#..#........##...#......##..#..#.#...#...#....#..#..#...##.........##...#......##.........###.#.....#..#..#....#..#..##..#...#..##.........#........#...........##.#......#.......##...........#.#.#.#.##.....#.....#..#.#.#....#......#............#........#.......#.....#..#....#.#.................#....##..#.#.......#...#.#...............#.#........#....##..#...#.#.#.##......####..#....##....#...#.#...#...###...##....##..#...##.##...........##.#.#...#.#..##..#.#.#......#..#..#..#.#..#.#......#.#...#.#.###...........#..##....#....###...##.#.#.#........##...............#..#.#...#......#.#.##.#.....#...
..#.#...##.#...............#......#...#..#.##...#..#..###..#...#......#..#.#.#..#..#....#..#.................#.#......##....##.#.....#....#.####....##...#.###.........#......#..#..#.................#....##.......####........##.....#..#..##...##.....#.#....#.....##......#...##..#....#.........#...##..###.#..##...#...#......#.#.....#....#.#......#.................##...##...#....#...#.#....#......#...#..#.##.........#...##..#.#.....#........##......##.........#....##.....#....#..#.##.#............#...#.......##..........#....#....#..#.#.....###...#.#..#.#......#.....#.##.....#......##.##..#......#.##..#..#...##..#..#....#.......#.....#.......#..#..........#.......#...#........##...........#..#........##..#........##.....#........#.........#...#...#.#..#...####...#...##....##.....#.#.#...#...##....##.....#..#..........##.......#....#.#..#...##..#.............#......#.#.#....#....##...#..#...#....#...#.....#....##...#.....##...#..........###....................#.#............#.#.......#.
#.#.#.###..#........#....#.#........#.##....#...#..#.......#...#..........#.###..#.##......#......#.#.#....##.#..#...##........#.....#...#.#####.#.......#.#.##........#......#....................#.....#.#.........#.........###........###.#...#......#.###.....##.#.......#...#.......#.......#.......#..##..............#..#......#......#.....#....###....#......#.....#...#....#.............#......#.....#....#..........#.#.##....##.##.#.#.....#.#......##...#.....##...........##..#..#.##...#..#...#.#.#.#...#......#........###....#.....#...#......#........##..#.#..#......#..............#...###.....#..#..#.........##..................#....##..#.#..#..#.............#........#.........#.....#....#.....#......###.##.#......#......##..##.........#..........#...####..##..###.#..#.........#.#.................#.....##.......#.##...#.......##.#.#.#.#............#.#....#..#.....#.#..#.#.....###....##.#...#..#.#...#.#..##....##...##....##.#.#.#........#.#..##.............#.#...#........#.#..#.....#.#.
.#....##...#......................#.#..#...#....#......##.............#..##.###..#..#...#..#.##...#..........#....#..#......#...#........#.#..##...#.......###.#......####....#.....#...........#..#..#..#.##.......##.#.........................#.#..##.#...#.....##.#...#...#...#...#....#...............#.#.#....##.......#.......##..##.#.#..#........#........#...............................##.#...##.#....#...##...#...............#....##.#....##....##..##...#.....#....#.....#.#..##....#.##........#....##.........#...##..#.##..........##...#......#....#.#.##.................#....#......###.#.#.#...#..#.#......###.##.......................#...#.#..##......#.....##.#....#...#.#......#.......#...#.....#.....#.....#.#.....#...........##...#...#........#...#.....##......#####.##....##...#.............##....#......#.......#..#..##........#.....#....#..#....#...#....#....##.##.#..#.#.....####.....#.##....##...##.#...#.....#...#......#..............##....#................#.#.........#.#..#........#
###.#............#..#......#....#.#.#.#..#..#...#..#....#......#.......#.#####......#...#.###.....#.#.#..#.....#.....###.....#..#....#..#..##....#..#....#..#.##......#.##...##..#..#..#.....#..#..#....#...........#.#................#..#...#..##....#.#..#......##....#......#.#........#......#..#...###..##....##...#...#..#....##...#......#.#....##.#.#..##.....#....#....#...##....#....##..#.....##.#...#....#....#.....#.........#..###..#..........#.#.#...........#....#.....#.#.....#.##.##......#..#.....#....#..#...##................##.........##............#.#...................#........#....#..............#.#.#....#......#.#..........#...#..#.........#..#...#.#.....#..#.#......##..........##....#......#.#..###......#.....##..#.#...#.....#...#..........#.##.#..#...###.#....#.......#...#........##...#.....#.......#...#..#.........#.#.....#....###.#.....#....#..#..#....#....#..#..##......##.#.....#....##.#.....#..#......#......#............#.#..............##....#.#..#....#.#.##.#.....#.##
#.#.#.#.##..........#......#.#..#...#..#...##..##..#..#...............##.#..###.#..##...#.###.#..........#.###...##...#............#....##..#..#.#..#......##.##......#......##........#.....#..#..#..#.............##.#........#......#..#####...#...##.#..##.....##.#..#........##..#....#......#.......#....#.....#...#......#....#......#....#.......#......##................#..##....#...###........##.#.#.#.........#......#...#..#.#..#....##...#.....#...#....#.....##...##....#.##.......###.....#........#..#....#.........##.#........#..##..........##...#....#.#.....#......#........##.....##..##.....#.....#..#..#.......##.#....#.......#....#.....##....#..........##...................#......#................###..###.......#.....#.###.#..#.............#...#.#.#.......#........#....#....#.........#....#....#.....##......#...#...#.......#....#...###......................#...##........#..#......###..#.#..#.#.....#.........#..........#...........#..##................#.#.##.#..#....#.#..#.......#...
##.....#...#.............#......#..........#...#...#....#.............##..#...#.##.#....#..#......#...#....###.#.....##.....##.##.##.....##.##.#....##...#.##............#...##........#..............#..##.#........###........#.........##.#....#...##....#.......#.##.##.....#.....#...........#..#...#...##..#..#....#...#........#..####....#.##....##..#...#.#.........#.......##....#...#.#.#......#..#.#.#..#.#..........###.##....#...##..##...##.#..#.#.##...#.....##.........##...##....######..#.......###...#..#...#..#...#..#.......#...#...#...#..##...#.#..#....#.........#.##.....##....###.###..#..#.....#.......#..#...#....#.#.#.....#....#.........#...............#....##..#.........#..........#.....#.....##.#..###............######....#...#.#..........#.#...#...#.#..#..#.#............#............#....#.........#......##............#.#.....##.#.##....#.#......#....##.#####.#....#.....#....##...##..#.#..##.#..##..........#....#.................#..............##.#.##.#..#......#.#..#.......#.
..#....###.......#.......#...#..#.#.#..#.#..#...........#......#......##..#...#........##...........#.#.......##.#..........##..#.##....#..#.##....#.#...#....##......##......#.......................#...###.........#........#...........#.##..#.#..##.#.#.#..#..................#.......#.............###.##.....##...#...........##..#.##....#.##...####.#..#..#........#...#.#........#....##.##.#...##.#.............#...#..##.#........###..#......##.................##...##....#.....#..#.#..##...#..#..#.#.#...#..#...#..##..#.#.#.........#..........#.#...#...#...#.....#.....#..#....#........#..#...#.......##......#..##..#.........#.....#....#......#.##.#.......#..##............#......##.....##...##....#.....#....###.......#......##.###...#.....#..##..#...#.#...#..#......#...##...#.........#.#...#...#.#.................##..#....#......#..#.#.#.#.#..###............#....#..##.##.#.#..#...###...#....###...#...#........#..##.....#...#..#.........#...#...##...........#....#..#..........##.......#.#.
###....#............#......#....#........#.#...#...##.###......#......#....#..#.....#..#..##......#.#.#......#.#.##...##........#.##.#...##....#.#.........#...#......#..#...##........#........#.........###.......#..........#.......#....##........##.#......#..##.#..#....#....#..#....#......#......#...##..#..#....#...#..#.....##.#.##....#.#......#.....#......#.....#..................#..##.#...#..#.............#...#.###.#.....#...##..#....###...#.#.#..........#....#......###.....#..##..#.....#......#...#..#..#...#......##.........##.#.#...#.###...#......#..#............#....##.......#.#.#.....#..#..#..#...#......#.........#.....#....#.....#.............#..##.#....#............#.......#...#...#.#.....#......#.......#.....#.##.#....#........#...#.....#...##....#.##.........##........#.#...#..........#...............##...##.........#......##...#........#.........##.#.....#.#.....#.##........#.#........#....##.....#...#.....#..#.#...........#...............#....#...#......#.#.##.#.....#...
#.#.#.##...#.............#...#....#.#...............#..#.......#......#.....#.#.##.....##..#.#....#.#.#..#..##.#.##...#.........#..#....#......#...###.....##.##......##.#...#.........#.....#.....#....#..#...................#.#.....#...###....#...#....###......#.##..#...#.......#...#..................###.....#.......#.......#.#..###.#..#........#..#..#..#...#....#...#.#..##....#.....#.#..#......#.#......#....#.....#.......#.#...###.##.....##..###..#..........#....#....##.......#..#.#....#..##....#..#........#..##.##..##......#..##.#.......##....#.#.##.##.....#.....#.#.....#......#.#..##........#.....#..###.##.....#....#.#.....#........#.....#............#.......#.#.#.#......#.......#...#...#.#......##..#.#.......#.....#.#.#.#..#....#....#.......#...#.##.#.##..#.....#....##.......#.#...#....##...##....#...#...##.#....##...............####..##...#...#....#....##...#...#.#..#...##....#..#..#.........#.#..#......#....#.........#..........###...................##.##......#.#..#.#.......#.
#.#.#.####.......#..#....#..........#..#.#..#..#........#..#...#......#...###.#.##.#...#...##.......#.#....#.#........##....#.....#..#...#.#.........#.....###........####...#...#.....#...........#..#.##.#........###....................#..........#.........#......#..#.....#.##..............#.......#..#...#..............#...##....#.#....#..#...#.#......#.....#....##..##...##....#...##.....#......#......#..#.......#..#......#....#.#..#....#.#....##..#.........#....#.....#.##..#..#.###.#......#.....#.......#..#......##........#....#....#...#..##........#..#....##........#....#.#.....##.#.#.##........#.....###.##..#.....#...#..............#.....#............##........#...#.......#.....##...##..#.#.......##...##.....##........##.#..#....#.#..#............#.#..##....##..#....#.......#...#...#...##....##....##..#............#......##.#.....##....##.....#............#..#.........#..####.....#.##.#..###...#.#..##.........#.....#....#.......#...#..................#....##........#.##..........#
#.#......#.#.....#.......#......#.#.#.#........#........#..#...#.........#.##......#...##.##.##.....#.#.....###..#....##....#..#........#.#....#...##....#...##........#.....#......#........#..#.......#.###........###.......###.........#......#.........##......#....##...#.#.#...#...#.......#..#...#...###.#...#........................#.........#..#.....#.....#.....#..#.#..#.....#...##..#...........#..#.#......#.......#..#........#.#.##....###......#..........##...#.....####.##....#.#.....#...#...#.#.#....#......##.##.#......#.............#...#.......##.#..#...#.......#.....###........#.#.#...#..#.....#..##......##.#....#.#..........##..#.##.#.......#......#......#.....#..................#...#.........##..#.#.............#.#.##...#...#........#.....#.###..##...#...#.#......#...#.....#.......................#....#.....###......#....#...##.......#.#...#.......#....#.#.#.#.#.....##...........#...#....##.#..#..#.......#......#..............#.#..............#..#..#..#......#...##.#.....#.#.
#.....#....#........#......#.#..#.....##.#.#...##...#..#.......#......#..#..#...#......##.#..##.......#....##.#......##......#....#......##..##..#.#.....#.....#......#.##.......#..#.................#.#..#........#.##.......###........#.###...##..##.#...#.........#.##.......#...#...#...............##..#..#..##.......#..#....##....#.......#.....###.#..#...........#....#....#..........#.#..#...#....#...........#...#..#......#.##...#..##...##....###.##...#.....##.........#..#.......###.##.....##.#.#.#................#.........#....#....#.....#.#...#.......#.#..#......#..#....#.......#....#..........##..#...#......#..#......#.....#.....#....#..##.#.......#...#.#....###..........#...........#.....#......###..#.#.............#....#.......#.#................##...#....#...#.....##.......#.#..............#.....#.......#..#..#.........#.#.#.#...#..#.#.#.#.#......#.....#.........#..#..###........####....#..#..#........##...###......#.#.#........###...#...........#.#.#..#.......#....#.#.......#.
##....##........................#.#.#.#.....#...#..#...........#.......#.#..##...#..#..#..###.#..........#....#..##...#......#....##.#..#.####.#....##......##.#.......#.#...#.........#........#..#..#..............#.#.........#........###....###..#.....##.....##.#..#......#.#.......##......#..#...#.#..##.........#......#.............#....#....####.#..##.#........#.....#..#.....#.......##.....##...#.##....#...#...#..##.......#...##.......#.....#.#.#....#......#...#.....###...#....#.#.##......#.#.##..#.#..#..#......##.#......#....##.#.#...#..##...#....#..............#.#.....###.....##...#..#..#....##.........##..##.#............#....##.....#....#...........#.#....###.#...............#....#...#.#......#......#.....##.......###.#...#...#.#..##......#.#.#.#.........#.#..#....##...#.....#.......#...........##..#...##.....#.#......##.#.....##..................#..#.##.###............###....###.##.....#..##.#..#..........#.....##...........#........#...........#.#..#.##.#....#.#.#........#..#
#.#.#..##........#.........#.#..#.....#....##..#...#...##..#..........##..##.##..#.##..##.....#...#...#....###.#.#....#.........#.##.#...#.##..#.....#...#....#.......####....#........#.....#..#.......#####........###........##.....#..###.#..#.....#.#.##...#.....##..........##..#...................##.#.#.#..#....#......#...#.##.#.......#........#..#...#.#...#.....#..#.#..##.........##........#....#..#.#.#........#.........#.##..#.#.#....##.#....#.#....#.....##.........#.#...#..#..#.........##.#...#.#........#..#..##.###....#...............##......#.##..#.#..#.........#.....#......#......#......#.........#..##..#..#..#...............#.....#............#..##...................##.....#....#...#.......###.....#......#.....#.#..#...##...#....##........#.#.##..#.#.##.#..#....###.......#.#.......#.....##.....#......#......#.#.......#.....#.#......#.#.#.#...........#........#........#.....#.#...##..##...##.#...#.....#...##.....#...#.#.........#...............#..#.##.##..........##.#.....#.#.
###.....##.#........#....................#..#...#...#.##...#...#.......#.#...##....#......##.##.....#.#..#.#...#..#....#.....#.##..#.....###.#.#...........##..#......#.##....#..#..#..#........#..#..#..##.........###........#.#...........#....##..##...###..#..##.##.#........##.................#....##...#.#...#...#...#........#..##.#......#.......#.#..##..........#...##..............##.##.#...#.......#........#...#..#..#.....#..#.#...#...##.#..#....#.........##...#.......##.....#...#.....#..#..#..##.#.......##.....#...#.............#.#...#.......#.......#...........#..#.....#.....#...##..##..#.....#.......#..#..........#................#.#...#.#....#........#....#...#.#.......#......#....#..#........#...#.##......#.....#..#.#....#.....#...............###..#.....##..##...#.#...#.#.#.#...#....##.........#...#...##......#.......#..#......#.....#............#..#..#..###...........#.....#...#.##..#.......#..##.....#...#.#....#.#............#.#..##..........#..#..#.##.#....#....#.......#...
.#..#.#.#..#.....#.........#....#.#....#...........##...#..#...#.......#.##........##...#....#........#....#......#....#....#...#.#..........#.....##........##.........##...##..#.....#.....#..#.....#..##.#..................##......#...###........#....#.#..#..##.##.##...#.#.........#.......#.......#..#.#.............#..#....#.#..##..#............#....##.....#........##.........#....#..#......#..#........##.......#..#......#.#.......#..........###......#......#...#......###.##..#....#....#..##.#.###...#..........#.##..##....#.#...#.#.#...#.###.....#.##....#..##.......#.....##.....##..###.#......#..#......#............#...#.....#....#........##.#..........#..#.................#......#........#.......###....#.......#.....#..#...............#...#.....#...##.#.#..#..........#.#...#.....#...#...##....#.....#.......#..#.....#......##.#...#...#..#.#...#.#.........#..#..##...#........##.......#.###..#.#.....#...#.#...#...#..........#.#.....#..#....##...........#....#.##......#...#..#.....#...
..#....###.#........#....#........#......#.#...##..##.................##......#.##.....##.........#.#....#.####..##...##....#..#..##.#...###.#.#.#.........#.###......#..#...##..#.....#...........#..#..#.##........#.#.......#..........##.#.....#..##...##......#..##.#........#.......##..............#..##..........#...#..#.....#..#.#..#..#.##........#..##.....#....##..#.#..##....#....##.#.......#.#.#...........#...#..#..#.....#....#..##...#.##..#....#...#.....#............#...#....#.............#..##......#..##......#........#.......#.......#..........#.##....##.....#..................##...#.....#.#...#..........##.#..#.#.#...................##.#....#..#.....#.....##...#.......#..........#............#....#.#.....#........#..#....#...#....##..#...#....#.....#.........#....##.....#............#....#.....##..#......##...#..........#.#.#..###.#.#.......#............#...#......#.....#...##.#.#.....#...#.....#.....##....#....#..#...#........#.#..#...........#....##..............#.#.....#.#.
##....#.#................#...#..#......#.......##..##.#.#......#......#..##.##.....#...#..##..........#..#.#..##.....#.#.....#..#.##.#..#.##.#...#.#.#...#.#..##......####....#..#.....#........#..#........#........##........#.#.....#..##...........#.#..##.....#...#.#....#.#.##.......#......#......#...#.#.#...#...#..........##.....##.#..#.##...##.#.#...#...........#..##.........#....#..##.#...##......#.#.#...........#..##..#..#..#...##...####...#..##...#......#....#....#.##.....#..#..#...#..##...###.#.#.........##.##..##......#...#..........#....#...##........#.....#.#............##..##...........#...#..#...##..##....#...#..........##....#...#.#..........#..#........................#.................##....##.....#........##.##.......#....##..#...#.#........##.###....#...#.#...#.#.......#...#.....##....##......##.....#.#.......#.#.#...##.#..##.#.#...#.......#..#..#.#..#.#.....#.#.....#..##.#..#....#..#...#.........###...#..#.#.......#...##...............#.#..#.#..#......#....#.......#.
.#.....##........#.......#.#.#....#....#.#..#......#..#.#..#...#.........#.##......##..#..#####.....#.#.....####..#............##.#..#..#.#####..#...#...#.#...........###...##..#..#..#..............#.#.#...........#........##...........#.#....#..##.#.#.#.....##..#.#........##......##......#......#.#.....#...#..........#.....#..##...#....#.....###.#..##.#...#..........#...#....#........#.....#....#....#.##...#.....#.#.##..#.##..#..........##..###......#..........#.....####.#.....#.##........#....#..#.#..#......##.#..###..........#...#...#.#.#...#......##.#...........#.....##.....#...#.#..........#.......##.##..#.......#.#..........##....#.....#.......#..#..#.....#..#...............##...#...#.......##.#.####.....#.......##..##..##...#........#........##..##....####..#.....#...#...#.#...#..........#....##......##.#...#........##.#......###.###.#...#......#.....#..#..#...#..#...##....#.##..#.....#........#..#..#....##....##................#...#.............#.#...#......#.#.#............
.#..#...#........#..............#...#..#.#.#...##......##.............#..#..###.....#..#..#.##....#........##.#..##...##....#..#..##.#...##.###.....##...#..#.##.......###...#...#..............#.........#.........##.#.........#.........##.....##..##....##..#...#..#......#.#.##..#...#................#........#........#..#...##.#.####...........##......##.#........#.....#............#....#.#....#......#...##.......#.###.##..#....#..#.#....#.#...#...#..........##....#....####.........#..#.....##.......#.#...............#......#.#..##...#.....###.....#..#.#..#..##.....#.......#.#......#.#.#.##..#..#..#..#....#.##..#..#....#.#.....#.....#..#.#..##...............#......#..........#......##....#..#.#......###.#................######.........#......#...#.#............#..#..#.........#.....#...#....#....##........#.......#..#.........#.....#.##....##.......#....#..#.##.....#.#.#.....##........###.....##..##.#..#.....#.....##...##.#.#..........#.#..#...........##.#.#..##.#....#.#.#........#.#.
#.#...##.........#..#....#...#..#.#.#....#..#...#..............#.........##...#.##.##..##.##.##...#.#....#..####.#...##.....##..#..#.#...#...#.#.........#.##.#........#.#...#...#..#...................##.#........#..#.......##..........#.......#..#..#..##.....##.##.#......#.........##.........#.....#.#.......#...#...#..#...##.#..#.#......#.....###.#..##.#...#....##....#..##....#....##..#............#..#..........#..#...#.....#.#.#..#.....#.....##.............#...##.....#.#.##..#....#.#..#..#..#.#...#.......##..##.##.#.#.........##.........##....#......##.#..#......#..#.....#.....#.#...#........#.#.......#..#....#.#....#.......#.....#..#.....#.........#............#.#...............##...##..#.#..........#.#......#.......#.##.#..##...#....##..#.....#.###.....#....##......#.....#.#...#.......#.#....#....#.......#...#..............#...#.#.##.....#.#.#......#..#.#...#..#...........#....#.#...#...##....#.#...#.....#...#......#...#.#.....#...#...#............#.#....##.#......#.##..........#
###...####.#.....#...........#..#...#.#..#..#..#...#...##......#.......#.##...#..#.#...#....###.....#.#..#..##.#.#....#.....#......#....#..#.......##.......###.......#.............#..#........#.......###............#...............#..#.###...#...##........#......#..........##......#.......#......#.#.#.#.#..#........#..#....###.#....#............#.#..##...............##..##....#...##..##.....#....#.#..#.............##.##....##.##....#.........#...#.....................#.##..#..#..#.#....#..#..#.......#..#..##.....#..###....#....#....#.....#.........##.##....#......#.......###....#....#...#...........#..##..##..#..#....#.#.....#.....#.......#..#.......#.....#......#.#.#..............#.........#......#.#.#.#......#........#...#...#.........#......#...#....##.#.#...#.##...##......#.#.....#....##....#....#...#....#.......#...........#....##........#.#......#....##....#.......#..###.....##..###....#..##.#...#.........##.......#.................#...........#..#.##.##..........#..#.......#.
#.#.....#..#.....#.........#.#....#...#..#..........#.#.#..#..........##...#.##..#..#.....#.###.....#.......##....#.........##....#..#.....###.#.#..##...#.###...............#...#..#..#.....#..#..#..#.....#.......#..#.......#...........####..#.....#....##..#...#.#..##.....#.##..#....#.........#....##..#......#...#...#............#.#.#..#.#.....##..#.........#..............#........#.#.#..#...........#........#...#.#...##....#....#..##...#.##..#....#.........##...##....#....##..#.#..###..#..##.#..##.#....#..#...##.#.........#.#..#....#...#.#............#..#.........#.......##.....###.###..........#...#...##.....##.#..#.#.#.....#........#.#...#......#.....##......##...........#......##.......#.......##...##..................#.#..#....#.#..............#.#..#..#.##..#..#.............#.....#...##..........##......##.#............##.....#.####.##..#.#.#.#....#..#.#..#.#...#..........#......#.###....#...#....#............#....#.#.#.#........#....##..........##...#..#.......#...#........#.#.
.#..#.###........#.........#......#...#..#.........#..#.#..#..............#..##....##...#.##..#.......#..........#....#.....#........#..#.###.##...#.....#.............#.#...##..#..#..#........#..#..#..............###.......##......#..##..#...#...##.....#......#..#.##.......##..#....#...............#.................#......#.#..#.#........#....#......#..#............##....#....#....#..##.#..........##.#.#..........##......#.#....#..#....###....##..#...#.....#.....#....####.....#.#..##......#....#.#.............##.#...##.........#..#.......##......#.......#............#............##.#...##..#........#..###.....#..#.....................#..#.#.......#..#..##......#.#.#........##......#...##....#......###..##.......#.....#.#.#...............#..#.....#.#.##.#..#..#.##.#....###.................###...##....#..........##...##......##...#......#.###.....#.#....#.......#..........#..##.#....##.........#..##....#..#..#....#.#...##.....#........#................#..#..#.##..........##.........##
###.#.#....#......................#.#.#....#...#......................#..######.....#..##..###....#.#.#.....###...#...#.....##.##........######.....##...#...###.......#.#....#........#........#..........##.......####........#......#..#...#..#.#..##....#...#..#..#...#...#...##..#...........#..#.......#......#...............#..#..##..#.....#....#...#..##..........#..............#...#.#.##.#........#.##....#..........##..#..#....###........###..##..##...#...........#.....#...##....#..#.#..#...................##..##.....##....#....#....#.......#.....#.##.##....#......#..#....###....##..#....#.....#.#.......##.##..##.#....#.#.....#........#..#.#.......#.....#.......#............#......##...#.....#.......##.#........#......##.##.#..#....#.....#..#.....#.###..####.###...#....###...#.#.#...............#.........#...##.##...#.......##.......#.##.###...#.#.#.......#.##...##....#..#....##........#....###...#....#..#.......###......#.#...........##..#...........#....#...#......#...##.........#.
##....##.#.#.............#.#....#.#.#....#.##..#....#.#....#..........##.####.#.#..#....#.##.##.......#..#...##...#..#..........#.##.#.....####..#.......#..###........................#..................###........##........#.......#....###...#......#..##..#..##..#.#......#.#...............#........#...#.....#...#...#..#....###....#....#.##....#...#..##.#..................#............##......#.#.#.##........#...#.....#...#.....#.#..#....###..#...#....#..........##....##.......#.#..#....#..#..#.#.#......#..#...##.....#.....#.........#.....###.....#.##....#.........#.##....#.#....###.#.#..#..#....##..#..#.#.##..#.......#................#.....#.#.......#..#.......#.#.#..........................#.....###..###......#.......###..#..#....#.#..##..#...#.#.##.....#..##..#.##....##...#...#.#...#...#.....#.........#......#...#...............#....#..##.......#....#....##.....#...#..#..#..#.....##.#....#.....#.......#...#...##.....#.#.#.......#.......#...........##.#..#...........#.##.......#.##
..#.#..#............#....#.#....#.#.#..#.#.....##..##.#.#.............#...##.#...#.....##.##.#......#....#..##....#..##........##.#......#.#..##.#..##.....#.#.........###.............#.....#..........####........##.#.......#.#........##.......#..##.#.#.#..#..#..#..##...#.#.#...#...##..................#..............#......#....##.#.#..#..#...##.#.....#...........#.......#.....#....##.#......#..#.#.##..................#...#.#...#.#..#.....#.....#..#...#.....##...#.....##..........#####.....#..#.#.....#..#......##..#..##....#....#..#.#...#.##....#.......#.....#......................#......#........#......#...#........#.#............##..#.##.......................###...#......##.....##...#............#.#.#..#.....##.....##.####...#.....#..#.......#.#....#...##.#..#..##...........#.#.#.............##....##.........#............#..#.....#.#..........#.........#..#.#..##.#.#..#..........#....##...#...##....##....#....#.#......#...#.....#..##...#................#..##.#........##.#........#
.##........#.............#...#..#...#.#.........#......##.............#.....#......##..#....#.#...#..........##..............#.##.#..#.....##.##.#.##......###.#......####...##.................#.....#..#..........####.........#........##.#.....#..#..#........................##......##......#......###..#.....#....#......#...#......##......#.....##..#..##...............#...#.........##..##.....##.#.#.#..#..#...#.......#.#...#.#....##.#......#....#..#....#...........#......##.#.....#....#..#..##...#.#...#..........#.............#...#.#.......#.#...#.#.##..............#.#......#......#....#.#............#..##...#..##......#.#.....#....##..#.#..##.#....#..#..........#.....#..............#.......#.#.....#.##.####......#.......#......#....#....##..#.....#........#...####..#...##....#.....#.........#...##...............#...............#...#..#.#..##...............#.#.....#...........##....#...##.....##..#..#.........#...#..........#.#.....#..#.#..##...........#...#...#...................#...
..#.#.###..#.....#.......#......#.#......#..#...#..##..##......#.........#.#.##..#.##..##.##..#...#......#.......##...##....##.#...#.#....##.....#.##.......#..........###.......#.....#........#..#......#.........####.......##......#..##.....##...#......#......#.##.#....#.#.....#...##..............##.#.#.#...#.......#.......##...###.#..#..#....#.#.......#.......................#....#............#...#..#..#.......#.##.........#...##..#....###....#..#...#.....##....#......##..#....###..#.....##.#...#.#.#.....##..##....#.#....#.#..#....#...#.#.....#.#..#.##....#......#.......##.....##..###.#...#..#..#..#..#.#.....##.#..#...#......................#.......#.....#......#......................#...#.......#....#.#...............#..##..#....#....#.........#.####.####..#.#...#....##.......#.#...#.....#...##.....#..#....#.#.....#......##.....#..###.#.#...#.#......#.....#.####............#.....######...#.#..#..#..##.#...#...###...#......#.....#...#..................#.##.#...........##.......#.#.
#.#....##...........#....#...#..#.#.#....#..#..#....#.##...#...#......##.#.#..#....#....#..####...#...#..#.###...##..###.....#.##..#.#...#.#.......###...#...##.......#.##.......#..#..#.....#..#.......##..#.......#............#.....#.....#...##...##.#.#...........#.##...#...........#.......#......#....#.....##.......#..#...##...#.#.......#....##.......#.#...#.....#..#....##....#....##.#..#...........#....#...........#..#..#......##.##...##.....##.##.........##...##....#....#.....#.###...#..#..#..#..#.#..#..#...#.....#.#....#.....#.........###.......#..##.#..#........##....#......###.....##..#..#.#......#...#....#.#....#................#....##.#....#..#..##.#.....##...#......#.......#.......#........##..##.#.....##.....#.#.#....#....#.#..##........#...#...###..##.#.#.....##.....#.......#...#.#..........#......##.##...#................##...#.....#.#.........#..#....##.........####....##..###...#....#....##.....#.....#...#....#..........##....#..........#..#..#.........#....#.........#.
.#..#.#.#..#........#...........#.#...##.#.##..#....#..##.............##...##.#....#....#.#####...#......#.#..#..#...##.....#...#.##.....###.........#...#...#........#......#...#.....#.....#.....#..#..............#.#.......##......#...##....#.#...#.#..##.....##..#..#...#....#..#...........#........#..#..........#...#......##...##...#....##...#.##...........#........##.........#...##...#.#...#......##....#...#.......#.#........##.#..#.....#....##.#..........##...........##.##....###.##.....##.#...#.#.#.....##..##.##..........#..#..#........##.....#.#..#..#...........##....#........#.....#......#..#.....#...##.....#............#........#.#..##.#....#.....##......###...#.............##.......#........#.#..#.#......#......##.#.#.......#.#...............##..#.#.....##..#....#..........#...#...#.....##....##..#....#.##..##.......#..#.#....###.#.#.#.#.#......#..#..#.#.#.#.#.#..#...##.....#..####..#.#..##.#..#.....##....#....#..#............###..#..............#.....#.#.........#.#.....#..#
#.#.#.#.#..#........#....#...#......#..#...##..##..##...#..#.................#......#........##...#.#.#..#.#..#..##..##........#.....#..###..#...#.#.....#.###........#......#...#...........#..#..#..#.#..##........###.......#..........#.##...#.#...#.#...#..#.....#..#........##..#..............#.......###.#...#.......#.......##...#.............#.##.#.....#.........#..###..##....#.......#......#..#.#.#....##.......#.#...##..#..#..#....#...#..#..##.......#.....##...#......#.#.....#.##......#.....#...#.........##..##.#...##....#.#...#.#.....#.###...#.#....##....#........##.....##....###.##..#........#.......#...#............#..........#......#.##.#.......#.....#....#.#..........##.....##.........#.......#..####.....#......###..##...#........##..#.....#.#..#.##....####.##...#.#.......#.....#....##....#....##..#...#..##..#.#......#......#..###.###.....#.#....#....#..#..#..#........###...#..#.##...###..##.......#..#..........................##...#...........#..#..#.##......#................
.##.#.##...#........#...............#..#...#...##...#...#.............##.#..###.##.##..##.#.......#...#....#.###..#..###....##....##....##....#..#..#......#.###.......###...##..#..#........#..#.....#.#...#.......###........#.......#..#..#...#.#.....#.##...#......#......#...#.......#.......#..#.......##..........#...#......#.##..#.#....#.##...#.##.........................##....#...###........##.....##...##...#...#.....##..#.....#...##....#.#..###.#...........#...##.....##..##....##..#......#..#.###.#....#..##...#..#.#........#...#.#.#.............#..#....#...#.......#.......#....#...#.#..#..#.............#.##...#.#....#.#.....#....##....#..#..........#...#.#........#.#.......#.....#....#.....#.....###..###......##.......#......##...#....#...........#.##.##.#.###.........##...#...#.#...#...#......#....##..#...................##.......##.#.#.#...#.#......#....#...####...#......###........##...#....##.#...#.#..#....##.....#.#.#.#.........#...#............#................#..#.#.......##
..#...#.#..#.....#..#....#...#..#...#.##...#...#...##...#..#...#......##..##.#..##.##..##.#.##...........#...#.#.......#....##..........##..#......#.#...#....##......##.....##........#.....#..#..#..#.##............#........###.....#...#......##..##....#...#..##.#..#....#.#..#..#...#..........#....##...#.#..#....#...#.........#.#.##.#..#.#....###..#..##.....#.........#....#........#.#.##.....##.#....#...#..........#.#.....#.##....#..#...####..###..#...#...........#......#...#....#####...#..#..#.###.#.......#...##.....##....#....##...#...#.###...#...#..#.....##.....#..#....#.#....#.......#...#..#.....#..#.#.#...##....#...#.....#....##.......##.#.............#....##..#.#.......#......#....#..#.#......#...#.##......#.....###.##........#.#..#...#...#.#.#......##...##.......##....#.#.#.#........##..........#..#...........#..........#.#......#...#.#.#...#....#..#..#..##.#.#....#...###...##.###....#.......#........##..........#...........#...##...#...........#.#.#..##......#.#.#..#.......#.
###.#.###........#..#....#.............#.#.#...#......#................#..#.###..#.....#..###.....#.#.......#.#..#....##....#...#.##.#...##.#.#.....##...#.###........##.........#.....#.....#..#.....#.##.##.......#.##.......#.#........#.#.#.......##.#...............##.....#..#..#....................#...#.#..#........#.......#...#.##.#..#..#...........................##...##....#...#....#.#...##.#.#.#....##.......#...#.......##..#.#......#.##..##.......#.....##...#.......#..#......###....#.....#.....#.#..#..##..........#....#.#..##...#...#.###.............#.........#..#....#.#....#....##.#......#.#.......#..............#.............#..#..#.#..#....#..#..##.#........#.........#.....##...##..........#.##.#.........#.....#....##..##............#.....#.##.#......##.##..#...###.....#.#.#..............#.....#.......#.....#...............#.#....##....#...#.......#.#..###.#.#....#..#.#.....#.#####....#.....#..............#.....#.#.#.#........#....##...........#.......#......#...##.......#...
.#..#.#.##.#.................#..#.....##...##.........#.#......#.......#...#.#..##.##..#...###......#.#.....#.#...#...#......#.#..#..#..#....#.#...###.......###......#......#...#...........#..#..#.....#.##........#.........#.#.........#..#..###.........#..#..#...#..#...#.#..#......##......#..#...#.#.#...#..#...........#....#...#..#......##.....#..#..#..#........##..................##..#.#...#..#.#.##...#....#...#.##........#..##...##...#......#..#...........#....#....#.#..##....#..###.....#..#.#.....#..#..##..##.#..###....#....##.#.#...#.#.#.....#.#...#.#...#.....#.##....##.....##..##...........#......##..##..#..#..#...#...........#..#.##.##.........#...#.#.....#....#......#.......#....#..#.......#..#..#.#............##.#.##.......#.#...#..#...#.....#...#.#.#.##...#...#.#...#.#.#.#...#....##...##....##..#....#.....###......##...#....###.#.......#.........#.##.##..#.#.#..#..##.#....####..........#........#...#..............#.......#....#..##...........#....#.........#.#..#.#.........
.#.......#.#.............#.#.#....#.#..#...##......##.#....#..........#..#...##..#.##..#....##.............###.......###.......##.#..#..#.###.##.#..##...#....##........##....#.....#..#................##..#.......###........##......#.....#........##....#...#..#..##.#....#.#..........#.............###.#...........#...#.......#....#.#.#..#.##.....##.#..##..............#.#...#.............#............#....##...#...#.....#...#....##.#..#...###...##..##...#.....#....#.....#.#...#.....##..#..#..##.#.#........#...#..#..#...........#..##...#...#..#....#....#.##.....#.....#..#....#........#.#.#.#...#..#.....#..#...##.....#..#.#............##..#...................#.#.....##.#.#......#.......#...#.....#.......##.####.....#.......#....#............#............###...##.####.......##....#...#.#........#....#..............#..#...#.......#..#...#.###..#.#.....#.#.........#..#.#........#..###....##.##..#..#....##....#.....#.....##....#...#..........###..............#.....#....#....#...#..........##
.##...#....#.............#...#........#..#..#...#..#..###..#...#......#....##...##.....#..#.#............#.#.#.#..#..##..............#..#.#..#...#.......#.#.##.......##............#........#..#..#.....###.........#.#.........#.....#...##....#....##....##..#..##....##...#...##..#...#..........#.....#..#..#..##.......#..#...##....#.#.#..#.#....#.##....#...........#....##..#.....#...###.#......#..#.#.##.#.##...#......##.#.........##........#.#.......#...#.....#............##.##....##..##.....#..#..##.#.#......#..#.....#.#.........##.#........##...........#....##.....#.##....###.....#..##..##...........#..###.#...#..#............#....##..#..#.##.#..........#..#....#............##.....#..........#.....#....#.#......##........###...##...#.#...#..#...#.#....#..###...###.##....##...#.#...#.........#..........#......##..#....#......#..#.#.#...#...##.....#......#.......#..#..........#......#...#..#..###...#.#..#.....#....##....#..#.........#..###...#..........#..#....##.#........##.#.....#.#.
.#....#..#.#.....#..#....#......#...#....#.##..#...#..#....#.............####.#..#..#........##.......#.......##.#....#.........#..#.#..#.#.##.#.#...#.....#..##.........#....#........#.....#........#.#.#.#.......#..#...............#...##......#...#........#..##.#..##.....#..#..............#......#...##..#..##...#......#....#.#.##.#.......#...##...#...#.....#........###...#....#...#...##.#...##.#.#..#..............###..#..#..#.##.#..#.....#.......##...............#....#.##.##....#.####......#.#..#..........##..#......#.....#.#.....#.....#.##....#...##.#..#..#......#..#....#.#.....#....#.#................#......##....#.#.......#....##.....#....#.......#...#.#....##..#.#......#......##...##....#.....#.##..#.#............#.#..#...#..........#..#..........#.#....#..#..#....##......#.#.#.........#...#.........#..........##........#.........##.#...#.............#..#.##......#..#..#.#....#...#..#..###...........#...#................#.....#..#........................#.......#......#.......##
##..#..#...............................#...##..##.....#.#..#...............#..#.....#...#...##....#...#.....##.#..#..#...............#...#.###......#....#.#..##......####.......#..#..............#..#.##..#.......###........#..........##......##.....#.##......##....#....#.#..#..#..............#....##..#.....#........#..#...##.#.#.##.#..#.##....###.#.........#........#.#...#....#...###..#.#..........##..................##..#.##..###..#....##.....#..#..........#...##.....###.##..#.#..#............##..#....#..#......#..###..................#.##....#.#..#.##.#..#......#.##............#..#....#..#.....#.........##...#....#.#.#..............#.#.....#.......#.....#........#.#.............#......................#.......##.......#.#.#..#....#....#.......#.#....#.#.....####.##...###...#.#...#.......###....#.....#.......#......##...........#....#.....#.#..........#.......###...#.#..#...#.#....#...###..##...##....##.#..##...###........#.#.....#..###..##..........#..#..#..#..........#..#.....#.#.
#.#...#..#.......#.......#.#........#.#.....#..#....#..........#......#..##...#..#.........##.#...#.#......#...#..#....#....#..##..#....###...##.#.#.....#.####........#.#.......#..#..#.....#.....#..#....##.......#..#...............#..#####...#...#..#.#.#.....#..##...........#..#...#.......#..#...###.##.....##..........#...##.#.##........##...#.##.....#.#...#.........##............#.#..#.....#..#......#.##...#...#.##......#.##.####........#...###.#...........#...##....#....##..#.#.#........##...###......#......#...#.###....#.#...#.#.#...#..##........#.#.....##.......##....#.#.....#..##..#...#..#.##.....#.#.##..#..#.................#...#.##............#...#.#.....#....#.............#.....#....#.....#.##..#.......##......#.###.............##..#...#.#....#..#.#.....#..#...###...#.........#..........#....##..#......#....##................#.#.##......#.#.......#..#.###.#.........###....##..##.#..##...#..#..##....##...##.........#.#........###...#..........##...#..##.#......#....#.....#...
#...#.##...#.....#.......#...#..#.....#.....#...#.....##...#..........##..#.....##.##...#.#...........#.....##...#....#......#.##.##....##.#.#.#.#.......#..#..#......####...#...............#..#.....#.###.#.......####.......#...........####..###..#....###......#.##..#...#.#........................#.#.#.......#..............###..#..#.#.........#.#.....#..#...#....##....#..##..........#...............##.#..#..........##..#..#..#...#.......##.#...#..#....#...................#.#...#.##.#....#..#....#.#...#..#......#..#.........#.......#.....#...#................#.........#....###.........#..#...#..#.....#......##........#.#.#.....#....##.......##.#....#.....##.#......#.#.#......##.....#....#...#.......#.##...........#.....#.###.....#.....#..##..#...#....#.#.#.#..#.##...#.....#.......#.........###...##....#...#...##..#...##......#..#.#...#.##..#....#.#.#.......#.#....#.#.#.#..#...###...##...###..#.#..#..#..##....#....###...##.....#.........#...............#.......#.......#.#.#..........#.
#...#.#..#.#.....#..#...........#........#.#.......##...#..#.............###....#..##.....#.#.#...#...#..#..###..##....#....#..#.....#....#.#.##.#...#...#.###.........###...##..#..#........#..#..#........#.......##.........#..............#..###.....#...#..#......#..#.....#.##..#...##.................##.....#........#.......###.#.##......#.......#.#...#...........#..###........#....#..#......##......#............#.#.#.......##.####.##...##......#.##...#.....#....##....#..#..#..#.#.#..#..#...#...###.#.#.....##...#...........#.....#...#...#..##........#..#...........#.#......#.......#.#.#.##..#.....#......##..#..##......#.#.....#....#...#.....#.#..........#.......#...#.#......#.......#.......#.......####.###.......#.....###..##.........#..........#...#.#..#.#..###.#.##...#.#.............#....##.........##..#....#.##..##.......##.....#.#.....#......#......#..#.#...#......#..#..##.....#.##.###..###.....#..#..#...#...###........#..........##...##..........#.......##......#..............##
.##...####.......#.......#.#.#....#....#.#......#..##.##...#..........#..#.#.##.##.##.....#..#......#.#....##........###....#...#.........##.....#...#...#.##.#.......##.#...#.........#........#..#.....###........#.##.........#................##..##...###..#...#.#...........#.......#..........#...###.##..#..##.......#..#...#.....#.#.#..#.#....###..#...#.#........#...###..##............##.....#..#...#..#..#.........#.#.##..#.#...#...#......#...#...##...#..........#.....###......#..#.##.......#....#....#.....##..#..#...##....#.#..#....#...........#.#.#...#.#..#......#.#......#.....#...........#........#..###.#...##.#.......................##....#.......#..#........#..#........##.....#....#..............#.##.#......#.....####..#...#............#.....#......####...#.#.##....##.....#...........##....#......#......##.#.....#......#....#......#.##..#..........#.......#.#.#.........#.#....#..##.##..##...##....#......#.........##.#.........#.......##..........##.........#.........#.#.....#.##
#...#......#........#......#....#...........#..#...#..#....#.............###.##.........#.###.....#.#.......###..#...###.......#..##.#..#.###......##....#.##..#......#..........#.....#.....#..#..#.......#.........###....................##...#.#..##.#.#.#..#..#...#.#......#..#.......#......#........#..##....##...#...#.......#.#....#.#....##.....#..................#...##..##........#.#.##.#....#........#.##.......#..##.....#.#..###..##...##.#......##...#.....##...##.....##..#...#.#...##...........#.......#..#...#...#.##.....#....#........#.........#....##....##........#...........#...#.#..#.....#.....#..#...#...#...............#........#.#...#.#....#......#.#....###...#......#...........##....#.....##.#..........##.....##.###........#....#...#...#.....##.####.#...#.##...#.....#....................#.....#..#...#......##.......##...#...#.#...##.#.#.............##.##....#..........#......####....##..#......#.#..##...###......#.#.#.....#..#.#...#...........#...#..#.......#.#....#.....#..#
##.....#...#........#........#..#...#.##.#.#...#...#...........#......##...#.....#.#...##.#.......#...#......###.##..##........##..#.#..####.###.#...#...#..#.#.........##....#..#..#..#.....#........#..##.........#...........##..........###..#.#.....#.###..#...#....##.....#..#......#.......#..#...#.#.##..........#..........##.#....#.#..#.#......##.#..#..#............###........#...###..#.#...#..#....#.#......#.....#.#.#..........##......##.#......#....#.....##.........#.#...#..#.#..#........#.....#......#..#...#...#..#.......#.....#.#...#.........#....##....#................#.....#..###.##..#..#..#..#..##..##...#......#.#...........#..#....##.#....#.....#..#.....#............#.....##................#....#.#............####.#..........#..#...#.....#..#........###..........#...#...#.#........##.........##..#...#........#......##........#.#..##...#...#....#....##.#.....#....#...#.#...#.###.#....##..#......#....#.....##........#.......#..##...#...........##.#.##..............#.#........#
#.#.#..###.#........#....#......#...#.#.....#..#...##.###..............#.#.####..#..#..#.....##...#......#.#.#.......#.......#.##.#..#...##....#....##......#.##......##.....#...#.....#...........#..#.#.##........#..#........##.........#......##.......#....#..##..#.#.........#.......#......#..#...###..##....##.......#......####.#.##......##...#.##....#..#...#...................#...##.....#..........#..#..........#.##...#....##...##......#.##...##.#..........##...#.....#.##.##....###.##......#.......#....#...#..##....#........#..##...#...................#.#.................##......##...#.##.....#.##.........##..#.........#.....#....#...#.##.#..#.......#..##..........#.#......##.....#....#...........##...#........#.......##.#.....#.....#..#...#.....#..#...##...#...#.#.....##.......#.#...#.........#.....#...#...#..##..#.#.........#.....#..#.....#.#...#.......#.#...###..#.#..#....##...#...#.##..###..#......#.#..#.....##..........#.....#...#...#..............#.#..#.......#.#..#.........#.
#...#..#...#.............#.#................#......##..##..#..........#....#.#..#.........##..#...#.#.......#..#..#..#......##...........#####.#.#.#.#.....#..#.........##...#.........#.....#..#..#..#.#####.......#.##........##............#.......##.....#..#..#..##.#......#.#.......##......#..#...###.###.#..................####.#....#.....#...##.#.#..##.#........#...#.#..##........###..#.#......#...#..#......#...#.....#........####.##...#.#.......#....#.....##...#.....##...#......#..#...#..##.#.#.#.#.#..#......##..#.##.......#..##.#.....#...#...#.#.##........#.....#.##....##......##.###..#.....#.##.....#.#.##..#...............#.....#........#.........#..##.#........#.#..............#...#.....#.....##.#..##..............###.#...#.........##........#.####.###...##.#.#....#.......#.......#.....#...#.........#....#.##............#.#...#.#..#..##.#.#.#.#....#....##.#.###.#.#..#...###...#.....#...##.........##....##....##........#............#...#...............##.##.#....#.#............##
.#..#.#..#.#.....#.......#...#....#....#.#.........#...........#......##..#.#.#........##...#.....#........#......#..#.........#..##....##..#..#...##..........#.......##....##..#..#..#........#..#....##..#........##.........##..........#.#.......#....###.....##.##......#.......#...#....................#.........#...#..#.....#...##.......#.....#...#...............#..#....#..........##.#......##.....##.#.#....#..........#..#..#.##.#..#....###...#..##.........#....#..........##......#..#..#...#...###...#..#..##..#.....#.#.........#..#........#....#....#.#.....#.........#....###.....##..#..##..#..#........##..#...#.....#.........#........#.#..#..#....#..#..##......##..#.#.............##.......#.#.....##.#.###......#........#.............#..........#...##.....##...##...#...........#............##...#.....#..........#....##...........#.....#..#...#...#......#....##....#..#....#..#..#...#.##..##..##....#....##....##...###....#.....#........#.#..##..........#.....#.............#..#.......#.
#.....#....#.....#..................#.#..#.##..#...##...#..#..........##.#.#..#.##.##..#...#..#.....#.............#..##......#..#.......##.#.......#.....#.#...........##....#...#....................#..##.#.......####.......#.......#..#..##..#.......#......#..##....##...#.......#...#.......#.......#....#.#..##...#...#..#...#.#...###.#....#....#.#.....#....................#..........#..##............##........#...#..#..##........#........###...##..##.........##....#....##....#....#.##....#..#.....#.................#..#.#....#.#...#.#.#...#..#....#....#.##.#..##.....#.##....#......##...##........#.##..#..#....#..#.....#...#.....#.....#.....#.##......#.....##......#.#.#.#......#......#..........#.....##...###.............#..#.##.........#..........#.#.#.#..#.#.....#..##...#.#...#.........#...###...#.....##.......#.##...#.................#.#..#..#...#.#....#..#.##.##.##...#..#.....#..............#......#.....#.......#.#...#..#...#........#....#..............#............#...##...........
#.......##.#........#....#.#.#..#.....##.#.#........#.#....#...#..............#.#..##.........#.......#......#...............#..#.##....#.###....#...#.....#####.........#...#...#..#..#................#.............#..........#.....#..#......#.#..#......#..#...#.....#.......##..#...#.......#..#...#.#..#..............#..#....###..##.......#....##...#..##.....#....##...#...#...........#.#..#....#.#.#.##.#.##.........###.##.....#.###...#...#.#...#.#.##...#.....##...##....#..#.#......##.##..#.......##...........#..#..#...##....#.#...........#.#.#...#....#.#..#..#......#.##....###....##...#...#..#............#...#..........#.......#........#....##.#.......#...#.#....###.#........#......##...#...#........###..###.....#......#..#.....#....#................##....#...#.##...#...###...#.#.#.#...#...###....#....##......#..##...##.........#......#.#.#.........#....#.....#..#.##.#.......####.....#.##....#.#..##.#...#.....#...##.......#.#.#........#.#..#............#...##..#......#.#.#........#...
......##.#.#.....#..#......#......#...##....#..##..##..##.................###....#.#......##................#....#...###....##....##....########.#.#.....#.###.#.................#..#...........#..#..#.##..#.......#.#........#..............#..#.#...#........#..##.#..#......#.#...............#..#.....#........##..........#....##...#........##........................#..#.....#........##..##.....##......#...#........#..#...#..#.##..##...#...##....###.............#...#..........#...#..#.###..#..#..#.#.#...#..#...#........#.#......#...#...#.....###.....#..#....#...#........#.....##....###.........#..#.##..#..#....#..#..#..#.#.......#.............#..#....#..#..#..#.....##.#.........#......#....#..........#.#..##.......##........####..##...#.#......#.........#.......###...##...#.#.....#.#.#........#.....#.....#..#.......#..#.........#...#........#...#.#.#......#.......##.........#....##....#.#.#.#..#.....#.#..#..#..#....##.........#..........##...##..........##....#.#..#......#.##.#.........
###...#..#.#...............#.#..#.#...##...#....#......##..#...#......#..#..###....##..##..##.#...#......#....#..##.............#.##.....#####.#.....#.......##.......#..#....#..#..#..#.....#........#..#..........#..........#.......#....#.#..##...##............#.....#...#...##..#....#......#.......#..###.#...#...#...#......####..###.#.....#...#.#..#..##...........#...#....#....#........#.....#..#......#......#...#.###..#....#....#.......####...........#......#....#......#..##....#####.......#....#....#.........#..#..##.....#.#..##...#...#.##....#.#..#.#.....#......#.##.....#.....##..#............##.....###......#.#............#....#......#..#......#......#.......#..#........#......#.....#..#.#......##...###.....#......#####.#..#....#.#..##......#.#.#.##.#..#.#.....##....#....#.#...#.............##............#..##..#.........#.#.#.#...##.###.....#.........#..#.#####.........####...#.##...#.......##.#..#..#..#.....#.........#..........#....#..............#.##.#..#....#....#.......#.#.
##..#.##.........#.......#.#......#.#..#.#......#..##.#....#..........##.#.#.#..#..#...##.#.......#......#...........###..........#......##...##....#...............................#..#.................#............#.........#...........#.#..##......#.###..#..#..##..........................#..#.....#..#......#...#...............#.#..#..#.#.....#...#..#............#..#.#..#.....#...###..#.....##.#.#.##.#.#..........#.#.#...#.#....#.......#..#..#.#..#...#......#....#....#..#.##....#....#......#...#.#.........#...#..#..##.....#.#..##.#.........#.....#.#........##.....#..#....#.#.....##...#..#..#...............#...##.#..#.#.#...........#....#..#..#....#..#...#.#.....#...........#...........#.....#.....####..........##......#.#.##...#...#.....#...........##....#..###.#..#...............#...#...##....#.....#.......#..#...#.#.......#.#...#..#.#.###...#.#.........#.....##...#.#..#.....#...####.#.#....#..##.#..##....#....##....#..#.#...............##...........#....#.##......#...#............
#.#.#..#.#.......#.........#.#....#...#........##..#...#...#...#.......#.##.###.#...#..#..####........#....####..##....#....#............#.#..#..#.#..........#.......##......#.....#..#..............#..#...........###...............#..#.###..##...#..#.........#...#........#.#...#....#......#..#...###.##..#...........#.......##..#..#.#..#.#....#..#....#..#........##...#...#.....#...##..#..#....#........#..#.......#.##...#....#..#..#.##...#......#..........................#........##.#.#..#...#.#.##....#..#.........##...#............#.#...#..#......#....#.....#......#.##.....#......#..#.#.##..#....#......#...#...........#.#..............#..#..#.#....#.....##.......#............#.....##...#...#.........#..##.#.....#......##.####..#.........##........#.##...#..#.....#.##...#.....#.............#.#.........#...#...#......###......#....#...##.....#.#...#......#....##.#.##....#..#...###...#######....#....#.....#.........##....##...#.#.....#..##...##...........#.........#........#..........##
#.....#.#........#..#......#..........##....#..#......##.......#.........#...##.#...#...#..#..#..........#..###..##...##....##....#.....#..#..##...........#..##.......#.#...##..#..#........#.....#..#...#.#........###........#......#...#.#........#....#....#..##....#......#.##..#...##.........#....#..###.#...#.......#..#...##...####.#..#.......##..#...#.....#....##..#.#...#....#.....#.........#...#....#.##.......#..#.........#...##.......#.#......#..........#....##......#......#...#..#..#...#...#.#...#..#..#....#....#.#....#.....#...#...#.#.#...#.#....##.#...#.......#.....#.......##.###.#......#..#..#..#...##............#..........##....#.....#..........##.#....###.#.#.............#....#.....#.....#.##..#.#......#......#..#.#..##............#...#......#.#.#..#####..#...........#.#.#.......#.....#......#.........#....##.......#.#.#.#.##.............#..........#.#.#.....#.....#..#...####.###.............##.#........##...##.#.#.......#..#................##.#.##..#.#......#.#..#........#
.........#.#.....#.......#.#........#.#..#..#..#........#..#...#......#..#...##.#..#....#....#......#.#..#..##.#.##..#.#....##.....#....#.#.###..#.###...#.####........##........#..#..#.....#..#..#....#..#........#.##........#..........####............#....#..##.##.#......#.....#...##......#..#...###.....#..##.......#..#....###.####.#....##...#..#.#..##.#.........#...#...##........#...#..#....#...#......#....#.........##.....#.##.#..#.....#.....#.#...............#......###..#....#..##...#.........#...#..#..##..#..##.#............#.#.#.....#.#...#......##.#..##.....#........##....###..##..#.......##.....###..#...#....#.#.#.....#.....#.....#.#..#..........#.......#.............#...........#....#.....##...##.#.....##......#.##.#.......#........#...#........##.#.##....##....##...#...#...........#...#......#..#......#...##.......#..#.#.#.###....#.#.....#............##......#.....#..#....#.#.#....#.#...#....#......#...##....##.....#.....#........#...........#...##.........#...#............
......#.#..#.....#..#......#......#...##.#......#..##.#.#......#............###.#...#.....##.#....#.#......#..##.##..#.........##.##.#..####.###.#..#......#..##.......#.#...................#..#..#........#.........##.......##.........###.....##..#..#.#....#...#....#....#.......#...#.......#..#....##...#.#..#...........#...##.#..###....#.##...#....#.....#...#....#....#...#...........#.##.#....#...#....#.#..........###..#.....#.####.#....###...##...#..........#....#.....#.#.....#..#..#......#..#.....#....#..##...#.##.#.#.........##.#.#.....###...#...#...#.#..##.....#...............#..#...##.....#..#......#.........#..#.#................#.#.....#....#..#..##.#....#...#.#......##......#.......#........##.....#.....#......#..####.............#..#...#...###..##.#.#.#.#.#.....#....#.....#........#.........................#.#......##.#.#...#.#..###.#.#.#.#.......#....##.............#.....####...#..###..##.#........##.....#......#............#.....#.............#.##..#......#.#....#.....#.##
........##..........#........#..#.#.#..#.#..#..#....#..##..#.............#.###...#..#......###......#.#..#.#.###..#..........#....##.#..##.###.#...###......#.##.......##....#...#..#..#.....#..#.....#...###.........##.......##.........##.#....#....#........#..##.##..#...#.#.#.......##......#........#.##..#...#...#......#...#.#..#..#....#.##......#.#..##.#...#.....#.......##....................#.....##........#.....##..#......#...##.......#.#..###.##...#.....#.....#.....#...##....#####......#....##.......#..##...#.##.#.#......#.....#.......###.....#.##.#..#..##.....#.......#.#....##...#......#..#.##.........#....#.#..#.........#.....#.....#............#...#.......##...#.......#......#.......#..........#..........##.....#.####....#...#....##..#.....#...#....#...##.........#....#.#.#.#...#...###.........#.......#......#.#......##...#.#...##...#.#.#.#.#....#..#..#.#..#....#.......##...#...#.....##...##..........##....##....#...#.#.....#..##...............#....#..#..#......#.##.#.....#.##
#.#.#...#..#........#......#.#..#......#...##..........##..#...#......##.##...#.##.....##....##.......#..#..####.##..###.....#.##.#..#....##...#.#..#....#..####........##....#.....#...........#..#....#.#.#........#.........###.....#..#.#......#...#.#..#...#..#..#.........#..#.................#...##...##................#...#.#..####.#.....#...#....#.........#....##....#..#.....................#...#..#..................##.......##.#........##...##.##..........#...#.......##.##....####.#..#..#..#.....#.#..#..#.........#........#..............#........##................#.....#.......##.###.#...#..#.....#..#.#.#...#.....#.........#....##........#......#..#..........#.............#.....#....##..#.#.....#.##..###......#.....###.#.#..#....#....##......#.#.#.##......#..##........#...#.....#...#...#.....#......#.........##...##......##.....#.##...#.#...#...#.......#..#..#..#.#.........#....#...###....##..##.....#.#...#.........##................#..#..............#.##.##........#.##.#.......#.
#.#...##.#.......#.......#...#....#....#.#.#........#.###......#.......#.######........##..###....#......#..##.#............##..#.#..#......####...#.#......#.#.......##.....#...#..#........#...........#.#.........##..........#........###....#.#..#..#...#.....#......#........#..#...##.............###.#.#.#..............#...#..#..#......#.##....#.........#...#....#...#.....#........#......#...#......#..#......#...#.#.......#.#...#..........#........#...#.....#....##....####..#....#.##.#..#..##.......................#.##.......#.......#...#..#....#...##.##....#......#........##....#...#...#...#.....#.....#.#.....##.#..#.........#.....#.....#.........#..#..#..#.....##...#.......#.....##...#..............#.##........#......#....#.......#............#.#....#.####.###...##...##......#.#..........##...#......#..#....#.......#......##...#..........#.#................#..##........#.....#...##..####..##...##.#...#..........#.....#.#...#........###..##.............#.#..##........#.#..#.........
###.#.#.##.#.....#..#........#.............#....#..#...##..#...#.......#.###.##.##.##...#.#..#........#.....#....##....#....##....#..#..##.#.###...#..................#.#....#...............#.....#..#.....#.......###........#.#.....#...#.#...#....#..#...#..#..##.........#...#.......##.............#.#..##....##.......#..#....###.##.#......#....#.##.#..##.#...#.....#...#...#...........#....#...##...#.##....#...#......##.......#...##...#...#..#...#..##.........##..........#.#.......##.##.........#.#...#.......#...#...#.#........#...#.#.....#.#.#...#...##.##..............#....###....#....##..#.....#.##......#......#.......#.......#....#.....##.#..........#..#........#..#........#......##...##..........#..#.##........#.....#.#.###..#....#.................##..#..#...#...#................#.........#...##................#..###.......#.#.#.#..###.###.#..........#..#......###.#.#.......#....########..#....#.....##..........#.........#.#.....#...##..#................##.#.......#....#.#.........
.##.#.###..#.....#..#....#...#..#.....##.#.#........#.###..#...#......##..##.#..##........##..#...#......#.#..#..#....##.......##....#..###..#.#.#...#......#.#..........#...#.........#.....#..#..#..#.##...........#.........###...........##..##......#.#.#..#..##..#.#....#.#..........#.........#....##...#....##...#..........####.##.#......#....#..#.....#..........#...#...................#.#...##.#.#..#.#.#....#.........##..#.##...##..#...##.....#...................#.........##..#...#.#...#..##...###.#........#...#.##.###......#...........#.###...#.#.#..#..#..#......#..#....#.#........###.#...#..#..#..#......#...#.......#.#.....#....#.........#.#....#..#..#..#........#........##..........##..#.......#.##.#..#.............####....##.....#...#......#....#.....#...##....#.....#...#.....#...#...##..........##..#...........#................##.#.###.#.#...........#.##..#.#....#......#......#.#...#...##..#........#..##............#.#.......#..#.#..#...........##.........#......#..........#..#
#.#...#..#.#.....#...........#....#........#.......##......#...#......#......#..........#.###.#............#.###.##..##.....#.....##.#..#..#..#..#.#.......##.##.......#......#..#...........#........#.#..##........###.......#.#.....#....##........##.#...#..#......#.##...#....#.......#......#.......#..#.#.#.......#...#..#...####.#..#......##....###.#...................#....#....#.....#...........#...#..#.##.......#..#..#.........#.#..#....#.#..#.#.##...#.....#....#.....####.#...#...##....#..##...#...#.#......#...#..#........#....##.......#.#..........#.##.#..#........##...........###.#....#........#.......#.##...#.#..#.#.#.....#....#...#..#.#..#.......#..#..#......#...#.............##...##..........#.##...........#........#.##..#.........#...#...#.....#..####..#....##.....#...#.....#.......###...#.....##..#....#..............#......#.#..#.###...#.#......#..#..#....##...#.....#.##...#.#.#.#...##....#.#.....#...#.........#....#............#...#...........#...##.........#....#.#.......#.
##......#........#...........#..#.....##.#.#........#.###..#..........##..#.#...##.##..##..#..#..........#.##.##.......#....#.....#..#...#..####...#.....#...#................#..#.....#.....#..#.........#.#........###...............#..#......#.#..##.....#......#..#.##...#.#..#.......#......#...........##.#..#........#......#.##....#.#..........#...#..##.....#....##....#..##....#...#...#.......#...#.#....##...#.....#.......#.##..#.#.......##...###.##.........#....#.....##.#.....#.##.#....#...#.#.#.....#..........#....###......#..#..................#.#...#....##...............#.....##.........#..#.##.........##...#......#.............#....#..##......#.............#...#.#.......#..............#..........#.##.#.....##.....###..#..........#..##..#...#...#.#...#....###..##...#.....#.#...#........##...##....#.......##.##...##.........#.#...#..#.#...#...#.#.........##..#..#...#..#..#..#...##....##...#......#..#.....##...###......#............##....#..........#..#.#..#..#........#..#.......##
..#.#.##...#....................#.#.#.#.....#..#....#...#.............#..###.....#..#..##....##...#...#..#.#...#..#..##.....##....##.....#..##.#.#...#......###.......##.#...#......#..#.....#..#........###.........#.........#............#....###..##...#.............#......#.........#..............###..#.....##.......#..#....#...#..#....#......###.....#..#...#....##..#....#..........##.........#.#...#.....#.......#..#..##....##...........#.##..#..............##...##....#.##.#...#.#.#.#...#.....#.......#..#...#..#...#...#....#....#..#.#...#..##...#.#..#.#..#..#......#.##.....##.....##.#..........#.#...#......#......#..#...............#..#.##.##.#.......#..##.#.............................#...#.......#....###......#......#.##.....##...#.#..#............#....###.#####.##.........#.#...#...#...#.....#.....##..#......#....##.......#........#...##..#.#.#.........#.#.....##...#............######....#.....#.#...#.#...#...#.#......#.........#...##...............#.#.##.............##.........#.
##....#..#.#.....#..#.............#...#....##..##.....#....#..........##.####.#.##.#...#...####.......#..#..#....##..#.#....##..#....#..##....#..#.###...#..#.#.......####....#.....#........#..#.....#..#.#........####.......#.#.........##.....##.........#.....##.##.#....#.#..#..#...#.......#......#...#...#...#.......#..#...#....###..#....##....#...#..#......#.....#..#....##........##..#..#...#..#....#.#.##...#.....#.........##.##.#..#....###.......#...#.....##....#.........#.....#...#...#.....#..#....#......#..##.##.#.#....#.#..##.#.....#.###...#.#.#..##.#..##........#......#.....##......#..#.....#..#..###.....##.#..#.#.#.....#........#.#..#.......#.....#..#....###.#.#.............#....#...........##...####.....##......##.###..##...#.#...#......#...##....###..####..#.....#...#.........#...###...##........#...##......#................#..#..##.#...#.#....#....##..#......#......##......##.##...##....#.#.........#.....#....#...#.......#..#.....#.............#..#..#.#......#.#..#.....#..#
.#......#..#........#....#.#....#.....#.....#..##.....................##....#....#.##...#....#....#........#.##...#....#....#..#..#.....#..#.###....##...#.#..##.......##....................#...........##.........##.#.......###........#......##...#....##.........#..#....#.#.........##.........#...##.........##...#...#..#...#..#..###......#....####....#..#...#.....#..###...#....#.....#........#.........#............#.#..#....#.....#.#.....#.....#..##...#.....#.....#....##...##....##.#.......#..#.#.#...#.....##.....#..#.#.........#..#.#.....#.....#...##..#.....#.....#..#.....##....#.#.........#..#..#.....#....#...#.#....#.#.....#........#.##.#..#.......#..##......#.............#..........##..#.......#..#..#.......##......#.#.#....#...#.....#..#.....#.##.#.#.##.####..##.....#.......#.#...#.....#...##........#...#...#..#........#....#.........#....#...#..........#.###.#.#.#.....#.##....###.#.#..###...#....#..#..#......#...#....#...........##...#...........#.#.#..#..#....#.#.##.#.........
###.#.#....#.....#................#...#....#...##...#......#...#......##...#.##.....#..#..####......#.#....####...#............#........###..#...#.#........####........#.....#.................#..#..#..#..........#.#.........##.....#....#.#..##...##.#.#....#...#..#.#......#.....#...##......#......#.#..#.....##...#...#..#...#.##.#..#....#........##.#.....#........##...#...#..........##.##..........#.......#..........#..##.....#.##....#...#.....###.#...........#...#.....####.#.....###.....#...#.#..##.............##..#..##....#.#..##...#.....###...#...#..#..#...#........#....##.......#...#.....#............#...#..........#............##.....#..#.#.......#..........###.#........##..........#...#.#.....#.#..#.#......##.....##.##.#..#....#.....#..#...#...#.##.#.#..##..#..#...#.#...#...#.....#....##....#....##......##.....##............#....#...#.#............#..#..#....##...#..#..###....#.#...#...#.#...#.#...#....#....###...##...#.#.....#..##...##..........##...##....#......#..#.......#.##
#...#..#.#.#.............#......#...#.##..............#.#......#......#....##.#..#.##...#...........#.#.......#..##..........#.#...#.#.....##..#.........#.##..#.............##........#..............#.#.##.........#....................#.#.#........#.#.###..#...#.#.......#.#.##..#...........#.......##.###.#..##...#..........#.##.##...#..#.##....#...#...#.#........##..#....##.........##........#..#.#......#....#.........##.......####.##...###...#.#.##...#.....##...##.......#.##..#......#......#.....#.#........#...#.#....#....#.................#.....#.##.##.#...#.....#..#.....##....###.##..##.....#.#......##..#...#..#..#...#..........##..#.......#....#......#.#.....#..#.........#......#...#...#........###...##.............#.##.....#...#.#...#..#...#....#.#..#.#.##..#.##....##...#...#.#...#....#.....#....##..#...#...............##.#...#....#..#.............#....#..####....#..#..#.......#..............#.....#.#...#....#....##...#.......#.......#...........##...##.##.#....#.#.##...........
..#.#...##.#.....#..#......#....#.#.#....#..#...#..#..#....#..........#..#...#..##..#..#....###...#.#.#..#.#.#.#.#....#............#.#...##.###....##........#.#......####...#......#..............#..#..###...........................#...###....##...#...#.#.....#..##..#...#.#.#........#.................##..#..............#........##...#..#.##...##.........#...#....#........##....#....#..##.....#..#....#....#...#...#..##.......#..#.##......#..#..##...#..........#...##.....#.#.....#.##.###.....##.#.#.#.#.#.....##..##....###....#....##...#......##...#...##..#.#...#.....#........#.....##...##.#........##.........#...##.#..#...#.....#..........##.#..........#..#..#.....##...........#.....#....##..#.#.....####..###.....#......##...#...#......#...#.............#..#.#...#.#.##........................##.........##..#...#..#...###......#....#.#........#.#.#........#..#..#.#.##..#..........#......#...#..###...#.#..##.#.......#.#....#.#...#.....#...##..##................#.##......#...............#
###....##................#.#.#....#...##...#....#..........#...#.......#.##.#...#...#..#...#.#....#...#....#.#.......##.....#...#..#....#.#.####.#.##......#.###......##.#...##........#........#..#....#..............................#....###...##..#....#.#..#..##.........#.#.#...#...##.........#.....#.....#..##...#...#......####....#.#..#.#....####.#..##.....#........##...#.....#....#..............#.##.#.#...........#........#..##...#....####...#..##..........#...##....##.#.#......#####.....##.#.##....#..#..##.....##.#...........#..#.#...#.#.#.......#..#..#..#......#.........#....#.#...#.#........##......#...#........#.#.#.....#........#.##.##.#....#..#............#.#.........#.....##...##....#......###.###......##......##...#..#......#..#............###..##..###....#...##......#.#.#...#...#.....##....##.......#.#...##........#.....#...##...#...#.#.#....#..#.##...##..#.#..#..#.#.....#.##..#....#...#.......#.......#.....##.#.#.#.........##...#................#.#..#....#.#....#........#
#...#....#.......#................#...##....#...#......##.............##..#.###.##......#.#..##.....#.#..#....##.##...##....#...#.#......###.##..#.#.#...#.#.###......###....#...#..#..#.................##....................###...........#.....#...#...###..#..#.....#........##..#...................##..#..#..............#.....##.#.##....#..#....##.....##.....#....#...##...#.....#....##.##.#....#.#...##.#..#.........#.#..#.....#.##....#...#..........#.........##...#......#....#..#.#....#..#.......###......#...#...#..#.##.......#.....#.#.......#...#.#.#...#.....#...............#........#.#.....#..#.#........#.....##.#..#.#.......#.....#....##..#........................#.#......##......#....#..#........###.###......##.......##..........#.#............#...#...#...####...#.....#...#.#.#..........##....#.............#..#....#.......#.#.#....###.###.......#....#....#..##.##......#..#.#.....#...#.#...#.........##....#....#.#..........#........##....#...............##..#........#.#..#........#
.#..#...##.#.....#..#........#........#.........#.....#.#..#...........#.######..#.....##..##............#..##...##..#.#....##.##.##.....#.....#.#.#.#.......##.......#.##....#..#...........#..#..#................#.#.........#......#...#.#...##...#....###..#..##..#..#...#....#.......#.........#...###.#...#...#...#...........##....#..#....#....#..#.#...#.#............#.....#....#.....#..#.....##.#.#.##...#....#...#.##...#..#.#..##.#.##...#.##..###.##..........#...#......#...##..#.#####...#..#......#.........##..#..##.#......#.#...#.#.........#.......#.....#...#.....#.#.....#.#....###.#.#.#...#.....#.....##.......#.#....#.#.....#.....#..#....##.........#...#........#..........#...........#...#.#.....###....#......##.........#.#.............#......#...#....#.#...#..#.##...................#...##....##.....#..#...#......###......##.#.#....###..##.#...#.#....#..#.##...#.#...#..#..#.##...#.#.##.#...#............#..#..........#............#...#...##..........##...##....#....#...##.#.........
#.#.#.###..#........#....#.#........#.##.#..#..##..#..#.#..#..............#......#.##........##...#...#..#.##.#..#...##.....##.#..#......#.#.##..#..#....#.#...#..............#.....#...........#..#....####...................##......#..####....##...#...........#..##.#............#....#.............##..#.#.....#...#...#..#...#..#.##...#..#.#....#.#.....#..#...#........##...#.....#....#............#........##...#.....#...##....................#..##..#................#....##.#........####...........###......#...#..#..#..##.......#.......#...#...#...#....#.#..#..##.......#.............#...#......#..#.##..#..##..##..##.#..#.#.#.....#....#.....#...#.#..........##.......#...........##.....##...##..#.#........#.##.#.............##..#....#.........#......#...#....#.##..####..#....#....#.............#.#...##.....#..#....#.....###......#..#...#.#.#..##..#.....#....#..#.##..####.#.#..#.....#.....#.#.....##....#.#.........#...#.#...##...#.#.....#...#...#...........#..#..#.........#.#.##..........#
.#.....#...#.............#.#.#......#.#..#..#..#...##......#.............#...##....##..#..##.##.......#..#.#.#...#...#......#..##..#.....#....##....##.....#...#.............##........#.....#..#..#..#.##...........###.........#...........#...#.#..##.#..#...#.....##.#.........#..#..............#....##.#.......#.......#..#.....##..###.#..#......##.#.....#.#...#....##..##.........#...##..#..#...##.#.#..#............#.#...#.....#....#.......#.....#.#.##...#.....##...#........#..#..#..#......#..##...............##.........##......#..#..#.#...#.#.....#....#.......##........#....#......#.#...#.##.....#.#......###..#..........#.#.....#....##..#..................#..#..........#..................#...........##....###..............#..##.......#............#....###..###..####.......##...#.#...........#...........##..#...##......##......#..#.#...####.###.#.....#....#..#..#.##..#.........#.#.......#####...##.....#..#..#..##...#.....#....#...........#...#............#...#..##.#.........#.#.........
#.#...##............#......#.#....#....#.#.#.......#..###......#......#....#..#.#.......#.#..##.......#..#...###......##....#...#.##.#..#.##..#..#.###.....####........##...........#..#........#..#....#.##.........###.......#..........##.#....#......#.##...#..##..#..#...#....#..#...##.............##......#...#.......#.......#.#.#.........##....#.#....#..#............##.........#.....#.#................#..#...#...#...#.#.....##...#..##....#.#...##.##.........#....#.....#..#.##..#..#..##.....#....#.#.#.#................#.......#.....#...............#.....#....##.....#........#.....##..#...#................#..#....#......#............#...#.....#.........#..#..#.....##..........##......#....#...............##........#.....#..#.##.......#.#..##........#.##.#.#.#...#..#..#....##...#.#...#........##...#.............##..#..#.#.........#...#.#.##..#......#.#.......#..#..#..#......#...#.....###.#.......#...#.#.....#...#...###........#.......#....................#.......#.#...................##
..#.#...##.#.....#..#....#.#.............#......#..........#...#......##..#.###..#..#.....#.###..........#...##...#.........##.....#....#.#####..#..#......#..........#..#.......#..#..#.....#..#..#..#.#.##..........##.......#.#........#.##...##........##...#...#..#......#.#.#.......#.......#..#...#.#.##.....#...........#......#.##...#..#.##...####.#..##.#...#....##........#....#....#..#......##.#.#..#..............###..#..#..#.#.....#...##.....##.................#.....#....#...#.....#...#..##...#.#.#....#......#...#........#....##.#.#...#.#.......#.#.....#..##.....#.##.....#......#....#.....#....#...#..........##....#.#.......#.....#..#.##.#..#.......#.....#....#.#...#.......#......................###..####.....##.....#.#.##..........#..#...#..........#.#..#..#.##.#.....##...#.....#...#...##...........#......#........#......##.#...#.#.##.##....#.#...........#...#..#...........##...#..#.##....##.....#...#.....#.....#...##...#............#..##..........#..#.#..##.#....#.#.##.#........#
.##.#.#..#.#.....#..#......#....#.....##.#.....#....#..#...#...#.......#..#.##..##.##..##.#...#...#...#..#....#..##..##.....##.##..#....#.#.#..#.#.#.#...#..##..........##....#........#.....#..#.....#.##.##..................##.........#.##...#.....#.#..........#..#.##.......#...#...##..............#....#.#.......#...#.......##..###........#.....##.#..#..#.........#..#....##........#.#.#..#...##.#.#.##........#...#.##...#.....#..###......###...##..................##......#..##..#.#.###......##...##..#..............#..###....#.#...#.......#.......#....#.##.#..#................#....#...##..##..#..#.##......##.#...#.....#.........#....#.........#.#.......#...#.......#....#........................#......##..##...............#.####...#................#...#.##.##.#...#...##...###...#.#............#..........##......#...#..###......#......#.##...#.#.#.....#.......#.##.#.###.#.#.......#....#...#.#....#...##.......#..#..........##.#.........#..#.#...#...........#....#.##......#...##.........#.
#.#.#.#..#..........#......#.#..#......#...##......##.##...............#....##...#....................#..#....#..#.....#.....#.#...#.#..#...##.#.#..##.....#.#.........#.#.......#...........#.....#.....##.........#.#........###.....#....###..###..##.#.#.#......#....#......#.##..#...#..............##..###.....#...#...............#.##.#..#.......###.#...#.#...#.....#...##..#..........#..#..#...............#........#..#..##....##.#..#..#.....#...#..............##...#.....##.#.##....###.#......##.#...#................#..#......#....##...#...........#......#............#..#.....##....#.#..#...#..#..#.#...#..#.#.##.....#..#.........#.....#.....#.##.............#.#....#.#.#.#.......#.....##....#....#.....####....#.....#.......###.##..#....#.#............#..#......#....#...#....##.....#.......#....##...#.....##..#......#...#.............#....#.............#.......#....#...#.#....#..##......###..#....#....#....#..#...#...#.....##...........#..#.#..............#..#....#....................#...
..#.#..##..#.....#..#......#.#....#.#..........##...#...#..............#...####..#.#......#.......#...#....####......#.#....#...#.##....##..####....##......##.#.......#........................#.......###.#........#.#.......###........#..##........#.#..#.........##..#...#...#.......#..........#.......###.#..##...#...#..#...####..#......#......###..#..##..........##..#.#..##....#...##...#......#...#..#...#....#.....###.#...#..#......#....#.#...###.##...#.....#..........#..#.#.............#..##.....#...#.....##..##....#.#..........#.#.#...#..##.......##.#..#.........#.......#.#.....##...#..#..#....#...#..#....#..##.#.................#.....##....#....#..#..........#.#...#......##.....##....#....#.....#.#....##.................##...#........##..#.....#.####..##..##..#.......#....#.#.#.#........##...#.........#....#..#..#.............#.#.#.##...#.#.....#.......#....#.#.#.#....#....#.........#.#.......##.#..#..#........##...#..#.#.......#...#....#...........#.#................##.......#.#.
##..#...............#....#.#.#..#...#.......#......#...#...............#.#..#.#.##.#..........#..........#.#.##..##...#.....##..#.##....#..####..#.##....#..####.......#.#.......#...........#.....#....####..........##........##.....#..##.#....##..#..#..##..#..#............#.#...#....#......#..........##......#..........#....#.#.##.#......#....#..#.#...#.#........#........##........###..#.#....#.#...#..#..#...#...#............#.##.#.##...##.#..###.#...........#.........####.#......###.#..#...#.#..#..#...........##.....##....#.....#.#.....#...#...#.#.#..##....#........#.....##.....#...##..##.......##.......#.....##.#..#...#.....#........#............#..#..#.......#...#.#......##......#.......#.#..........#.##......#......###.##..#....#.#..#...#...#....#.#....#..#....#.....#....#.#...#........#...........#.......#..#....#......#......#.#..#...#.#.#........#.....#.#..#..#....#..#..#...##...##.....#..##....#.....##....#.........#...............#...........#.....#.##.#........##.#........#
###....##...........#........#....#....#....#..#....#.#....#..........#..#####..##.#....#...##........#......#.#.##..........#.##.##.#....#.#..#.#.#.#.........#......##.#...#...............#..#..#....###.#..................#.#.....#..#..##...##........#......##.#..##.....#.....#....#..............##.....#...........#..#...#.#...#.........#.....##.....#.#...#.....#...#...##....#.....#....#....#.#...##.#.##...#...#...........##.......#...#.....##...................#....#..#..#..#.....#............#..#.#..#...#.....##...#.........#..#.#...#.###.....#.##..............#..#....#......#...#....#.....#..#................#..#.#.......#...........#.#.......#..#..##......###.#.........#.....#.....#..#.#..........##........#......###.....##...#....#.......#.#...#..##...###................#.......#...##....#.........#....#..#..###...........#.#...##.......#.#.#.......#....#.#.#...#.......#......#..#.#....#..##.....#.#...#...###....#.....#.....#..#....#..............#..#..#.#....#...#............
.##.#..##........#..#......#......#....#...#..........###.............##..#.....#...#..#....##....#...#..#.###..............##.....#.#..#.#.#.##.#.#.#........#.......#......##.....#..#...........#.....#.##.......##...........#.....#..#.##.....#...#...###..#...#.#.......#....#..#...##.............#...#......##..............####.####......#............##.#...#.....#...#....#....#....##..#......#.#...#..#.##...#.........##.....#.#..........#.#...#...................#....#..........###........#.....#....#.....#.......#.##.....#.....#...#.....#.#...#.#.#..#.....##.......##......#.....##.....##................#..#........#...#...........#....##....#....#..#..#........#..#........#.......#...##..#.........#..#..#.....#.......#..#.#............#.........#.####.###...#....##...#.#...#...#.#...#...###...##....#.......#...#..#........#........#.##.###...#.............#...###..#.#......###...##.##.##..#.#...#.#.........#...###......#...#.........##..#...........##......##........#..#.#.....#...
.#..#...#..#...............#...........#.#.#....#......#...#...#......##..#.#.......#..#..##.#....#......#.###.#.....###........#.##.....#..#....#.###...#.##.##........##...#...#..#..#...........#....#.#.........#...........##.....#..#.###..###..#.....#......##..#..#..............................###........##...#...#..#...####.###.....#......##.#....##..........##...##...#....#...##...#.#......#........#....#...#.##..#......#.####......#.....##..##...#.....#..........####.##..#.#.##.......##.#..##......#...#...#.##.###....#....#..#.......#.#...#.#.#...#....#........##....##.....#.#..............#.......#..##...#.#..#.#.#..........##.......#..#....#.............###.................##....#..#.#.....#.##.#.#.......#.....##.##.#..#......#..##..#.....#.#......##.####..##...#.#...#...#.#.......#.#...#.............##.#...##.......##...#....#.#.#.#...#.#.#....#.....#.......#.#.......#....##....##..##....#....#.....#.....#....#..#.#.#..........#...#................#....#....#.#..#...........
###.#..###.#........#...............#.#.....#...#..##.#.#..#...#.......#.####.#.#..#....#....##.......#.......#...#............#..#..#..###..#.....##....#.###..........##...##........#...........#....#.##.........#.#..................###....##....#....##.....##...........#.#...#...#.......#......##....#....##...#...........#.#..##.......#....#.#......#.....#.....#..#.#..#..........#...#........#...#...............#.#.#...#..#..###.#....#..#.......#...#.....##....#....#..#.##.....##.#...#..##...###...#.........#..##.#.#.........##.........#.......#.#..#......#........#....#........#.###..#..#.....#..#......##..#..#....#.......#.....#..#....##.#....#......#.......#...........#.......#....#....#.....#.##.##.#..............####...##........##..#.........##.#.##.##.#........##.......#.#.......##.....................#...#.#...............#.##.#.#.#.....#....#.....#..#.##.#..........#....#.#.#...............##....#......#......#...#........###..............##....#....#....#....#.......#..#
.#....###..#.............#......#.#.........#...#..##.##...#...........#..####..#..#...##.....#...#.#.#.....#..#.....#............##.#..#...#.##...#.#...#.##.##......#................#.....#..#.......#####.......#.##........##.....#..##.#....##...#.#..........#..#.##.....#.#...............#........#..#..#..............#......#.##.........#....#...#.....#........##..##...##....#...#.#.#..#......#...#..#..#...#...#.###..#..#..#.#.#..#....##.....#..##...#...........#....#..#.##....##.#.#..#..##.#..##...#..#.......#.#..#......#.......#.....#.#.#........#........#.....#.##...........#.......##.....#.#........#..#..#..#..#.#.#.....#....#...#.##.##......#..#...#.#....#.#.#.........#......#.......#.#.....##.#.#..#.....##.......##..#.......#.#..##..#.....#...##.#.#..#...........#....#.....#.............#......#..#...##.##..###......#..#...#..###.###...#...#....#....##...###.#....#....#....#.##..##....#...#..........#......#...##...#.#.....#..#....#...........##.#.#...#.#........##.#.....#.#.
.......#..............................##........#...#.#....#...#......#..######....#....#.#.##....#...#......#.................##.##.#...#.#.#...#...#...#.....#......#.#....#......#..............#.....#..#.......###........#..........##.....#.#.......##...#...#..#.##.....#.....#..................#...#.#.#...#...#..........##...####.#..#..#......#.......#.........#...##..##..........#...........#.#.##.#......#...#.....#.....#...#.#......#.#.......#....#.....#...........###..#..#....#....#...#....#....#.....#.........#...........##.#.................##..#.#..#......#.......#.#....#.#..#..##..#.....#..#..##..##...#.#......#.....#....#.....##.#..#....#.....##.#.....##..........##......#...#...........#.##...#..............#..#.....#.....#......#..........#.##.#..#..#.##.....#...#.#...#...#...##.....#.....#......#..##..#.#......##.#.#...#..#.#..............#....##.#..#..#....#..###....#..#..#.....#..#..#..##.#........##...#..#.#..........#....##..................#...........#........#...
##....#.#..#.....#..#....#......#.#........##......#...##......#.........##..#...#.#......#.......#.#.#......###.##...#.....##.#..#..#..####.........#.....##..#......####...##..............#.....#..#...#.........#.#.........#..........#.....#.#..##.#.###........##..#.....#..#..#....#.........#.........#.#.......#...#..#...##....#.#.......#.....#..#...#.....#.........##...#....#...#.#....#....#...#..#........#.........##..#.##.#..#.##...#......##..#.........##.........###......#..##.#......#..#.###.........#......#...##....#.#.......#......##...#.#..#..#.#..##.....#.#............###.#....#.....#.....#...##.##..##.#....#.#.....#..........#...#......#..#...........##.................#....#.....#.....#.##.#..#......#.....##...##..##.....#..##........#..#.#.......####..#...##....#...#.#...#...###....#....##..#...#...#..#.#......##.#...#.####..#..#.#.#.........#.##...##..#........##.....#.#..##..##...#.....##....##...###...##.#.........#...#....#..........#..#..#.##.#........##.#.....#.#.
....#......#.............#...#..#.....##.#.#...#...##...#..#..........##.#..###.##..#.....#...........#.......##..#..........#..........##...............#..#.........####...##........#.....#..#.......#...#.......#.##.......##...........#......#...#....##.....##.##........#..#..#...##......#..#........#.....##...#......#.........#.#.#..........###....#......#....#...#....#.....#...###.#..#..........#..#..........#..#..##.......####......##....##..##...#.....#.....#....#.##.##....#...##.....##.#..##...#.........##.##..............#...#...#.#.....#.#.#.....#...#.....#.#.....#.#.....#...#.........#..#......#...#.....#..#.#................#.....#......#.............##..#........##......#...##....#......##..####............##...##...#...#.#..##..#.....#....#..#...#..##......#...........#...#...#.....##............#...#..#.#......#....#.#.#....###.......#....#..#.##.....#......#..###....##...###....#..##....#..#.......##....##.....#.....#...#...#...........##.#..#...........#.##.......#...
#......#...................#.#..#.....#..#..#..##..##...#..#...........#..#.#.#.##..#...#.#.##........#....#..##.##..###..........##.....#....#..#..#....#.##.#........#.#...#...#..#..#........#.....#...###........#.#.......#.#.....#..####...##...#....#.......#...#.##...#...##......##.........#....##.#.......#...#...#......#.#...#.#....#......##...#..##.#...#........#.....#....#....##....#...#..#...##.#......#.....#....#....#....##..#...####..###.##.........##...##....#..#........###........#....#..#.#..#.......#..#.#......#.#..#...........#....#.#..#.#..#..##.....#..#....#.#....#.#.#.#..#...........#..##......##........#.....#....#...#.#..........#.....##.#....##...........#............#....#.....##....###.....#......##.###.......................#..###...#.........#...###.....#...#...#...#......#....#.......#...#...#.......##.#.#...#..#.#.#.#.#...........#.##..#..#......#...#.....###.#.##...##...#.#..##....#....###...#..#.#.#.........#...#............#.#.##..#.#.........#.......#..#
..#.#.###...........#....#...#..#...#....#..#.......#..##..#...#......#..####.#....#...#..#.#.....#.#......#.###..#....#........#....#..##.#..#....##..................##....#...#.....#........#..#.....###........##.#.......#..........##.#...###..##...#.#......#..#..#...#...........##......#......###.##.....##...#................#.#......#......#..#.....#...#.....#..#.....#..........#..#............#..#.##.......#.....##..#.#..#..#..#.............##...#...........#.....#.#.##....##.#.#.....##....##.#....#......#...#...#......#..#..#.#...#.......#......##....##.......##............##...#..#..#..#..#..#..###.##..##.#..#..................#.#..#.......#......#.#....#...#...............#....#...#.#.....#..#.#........#......###..#...#......#..##........#.####......####...#....#........#................#....#...#......#...#.#......##.....#.#.#...#..#.#.#.........#.#...####...#..#..#......#..####...#.#...#.#..##.#..#...............#.......#..###..#...........#....##.........#...##.........#.
###.#............#..#......#......#.#......##..#...#....#......#......#..#.#.#..#...#..#..##.##...#.#.#....##.#..#....##...........#.#..#.###.##.....#.........#........#....#...#..#..#...........#......#.#.......###........#.#.....#..##.##..#.#..##.#......#..##.##.##...#...#...#....#.........#.....#..##.#...#...#......#...#.##..###............#......##..........#...#....##........#.#.##.#...#....#.##........#...#.................#.#....#.##..##...#.........#.....#....###..#...#.#..#....#..##.....#.#...........#.....#..............#.....#.###...#.#..#..#.....#........#.....#......##...#..#..#....#......#.#.#....#.#......#.....#.....#.....#....#.......#.....#....#.............#......#....#..#.#.......#..#.##..............##.##...#........#...#...#.#.#..#..#...####..##...#.#...#.....#.......###...##.....#......##.#...###......##.......#.#..###.#.....#.......#.....####...#..#...###...#...#.#.....#...#....##.....#...#.#...##.#.#.......#..###..#..............#..#.##.#........#..#.........
.##.#..###.#.....#..#....#......#.#.#.##.#.##..##.......#..#.............#..#...#...#..#..###.#.....#.#..#....#..##..#......#..#.....#..#..###...#.###.........#.......#.....##..#.....#..............#...#.#..........#........#...........##........#..#......#..#..#...#...#.#.##..#...##......#..#...#.....#....##...#...#...........#.#.......#....##.#.#...#.#.............##........#...##..#...........#.#.........#...#.#.#.....#.#..#..#.##...####..##...#.........#....#......#...#.....#..###.....#....##..........#....#.##..##......#..##.........##........#...#.#..##........#....###......#..#..##..#....#...#..#.#..#...#....#...#.....#...........#..#......#........#....###.#.........#.....#........#.#.....#..#....#............##...##..#....#.....#..#...#.#..##...##..#...#.#.....##.......#.....#...##....##.....#......#...#..###.......#........#...##..#..........#....#..#.#........#..#.......#######....#..#..#..#.....##...#.#...##.....#.....#....#...#...............#............#.##.........##
..#....#.........#..............#.....#....##..#....#...#......#......#...#####.........#...##....#...#..#....##.#...###....##..#..#.#..####.##....#........###.......#.##.......#..#..............#..#.#.#..........##........##.........##..#..###.....#.#.#..#..#......#.....#.#...#...........#..........##.....##.......#........##...#..#....#....#.#.....##.#...#.....#..##...#...........#....#....#.#.#......#....#.......#..#....##..#.#.#..........##..#....#.....#....##....#..#........##.##..#...#.#.#...#....#..##.........##....#....#...........##.....#..#.##.#..#......#.#.....##.......#..##.....#..#.##......#...#...#....#...#.....#........#...............#..#..#....#.#...#......##.....##.......#.#............##......#......#.###........#.#..##..#............####..####......#.........#.....#...##....##....##.......#.#....##.......#.#.#.#.#....#.#...#...#....#.....#.#.#.#..........#.....#.#.##.....##...#.#..##....#....#.#....#.....#..........#..##...........#...##.##.#......#..#...........
.##....##..#.....#.......#......#...#..#.#......#..##......#..............##..#.##.##..#..#.###.......#..#..#..#............##..#..#........####.#...#...#...#........#......#...#.....#.....#.....#..#..###.........###.......#.#........#...#..#....#..#.##.........#.......#.#..#.......#......#......###.##..#..##...#...#...........##.#.#..............#.....#...#.....#........#....#...###..#.....##........#.#....#...#..##.#...#.#..##.#.##...#.#....##.##.........##.........##.#.#...#.##.###..#...#...##...........#.....##.#......#....#....#...#...#................##.......#......##....##..#...##.....#.#........#.....##.#..#.#.......#....#......#.#..........#.....#....#...#.#.......#.....#........#.#.....##....#.......##.....#.##..#...#...#....#...#.........#...#...#.##..#....#.#.....#.#.#.......##....#.....#.......##..#....#.......#.....#....#...#.#.#...#.......#....#..#....#........#........##...#.#...#...........#....#....#..#............##....#.............#.##.##...........#.#.......#.
###.#.###........#.........#.#..#...#.#..#..........#.###....................#.....#...##....##.....#......#..#..#....#.....##....#.....#..##..#....##.....#...#......###........#.................#....#.#.#.......#..........##......#...#...........#...##...#..##....#....#....#......##......#..#...##..###.....#...............###.####.#..#.##....###....##.#...#.....#..###...#....#....##....#........#.##..............###.......#...##...............#.#..........#...........##..##.....#.#.#..#.....#..##.#.#..........#....#.#......#..##...#...#..##...#.#..#..#.#.........#........#......#..###.#...#..#.#......#.......##.#..................#..#..#....#....#.....##.......#............#.....#....#.....#.......##..###.............#####........#....##......#.#..##....#....###..#....##...#.....#...#...###..........#..#...#..##..#.#......##.#...#.......#....#...#....#..#..#.........#..#..#.##......###.....#............#...#.....#..........#........###..............#..#.#..##......#.#....#.........
#.#...#..#.#.....#.........#.#........#..#.##..##...#.#....#...#.........#..#...#..##...#.#.###...#.#........##...#...##....#..#..#..#..###.###..#..##...#.#.#........###.....#..#..#........#........#.##.##.......####.......##......#..##.#.....#..#..#.#..............#........#..#...........#......#....#.....##...#...#..#...####.#.##.#..#.##....#...#..##.#...#....##...#...#.....#........#.#....#.....#..#......#...#.##...#.....#..###..#......#....#.##...#.....##...##.....###.#......#####..........##....#..#...#........##.....#.....#..........#.........#.#..#..#..............###....##..##...#..#....##.....#...#...#.......#.#..............#.##....#....#..#...........#....#.............#.....#....#.....#.##.##.#.....##.....#....#....#.....#............#...##.#.....###........##...#.#.#.#.........#...##....##..............##.........#.#....##..##..#.#...#....#.......####..#........##.....##...##...##..#.....#..#..#..........##.#.#.#........#....##...............##.##..........#........#.#.
###.#.#..#.#.............#.#........#..#....#......#..#....#...#.......#...#.#...#............#...#...#..#.###.#.#..........##.....#.#..#....###.#.#.#...#..#.##.......#.#...................#........#..##...........##.......##.........##.#...#.....#.#............##.##...#...#...#...##......#.......#..##..#...#.......#..#...####....#......##.....#..#...................##...#....#.......#......##......#.#..............#.#.....#...###.#....###.....#......#.....#....#.....###..#...#..#..#...#..##.#..#..#.#.....##..#...#..........#...........#..#....#....#.#..#..#......#.#.....#............#..........#...#....#..#...#......#.#...........#..#....##......#..#..##.#....##..#........##.....##...#...#.......#.#...###............#..#..#...#.....#...#..#...#.#.###...#....#....#....##....#.#...#...#...#.#.........#...#....#......##.........#.....#.....##............#........#.#.......#...#.....####...........#..#..##.#..##.........##.#.#.......#..#.....#.............#....#..#....#.#.##.......#..#
#.#....#.#..........#....#.#........#.#..#.##..........##......#......#....#.##.............#.#.......#....#.#...##....#....##..#.#..#......####.#..##.....#.##.......#.#....#...#..#..#.....#........#..##.#.......##.#.......#.......#..#..#........#..#...#.....##.##.#......#.##..............#..#.....#........#....#...#..#...#..#...#.....#......#..#.#...#.....#....#...#.#..##.........#...#.#....#.#.#...............#.###.##....##.###...#....#.#..#.#..#...#.....#.....#.....##..#...#.##.#.#..#.....#.#.#......#..##........##.......#.......#...#.#.#...#.......#.#..#......#.#.....#......#...#.......#....#...#......#......#..#.#.#..........#......#....#....#..#..#..#....###...#.......#.....##.......#........#.#..#.#.....#.........###........#....#...#...#.#.####...#.........#.........#.#...#...#....##.........#...#...#...............##.#...#...#...##...............#.......##...#.....###....##.#......##...##.#........#....##.......#.#.......#...##..##..........#..#.##..#.#......#..#.........#.
.##.#...##...............#.#......#.#....#..#...#.....#....#.............###....##.##...#..####...#.#.#..#...#....#...##....#...#....#..##....#..#.###...#.##.##.........#...#......#......................##.........#.........#......#...#..#.......#............#.....##...#.#..#..#...#.......#..#...##....#....#....#.............#...##....#..#...###..................#..#..........#....##.##.....##.#.#.#..#.#....#..........#..#.#..#.....#....#....#........#.....##...#.....#.##.......#..###..#..##.#..........#..##..##.....##....#.#...#.........#.....#.........#...........##......#....#...##..##..#.....#..#...#......##......#.#...........#....#..#..#..........#..#....##..#.#.......#.....##...##..#.#.....#....###......##........#..#...#.....#..#...#.....#.#.#..#.#..##.#...#....##...#.#.#.....#...###...##.............#.##....#......#....#..........#.#.#........#..#..#.#..#....#..#..#..#.....###.#...#.#...#.#........#.....#.......#.........#..#.....#...........#....#.#.........#............##
..#...##.#.#...............#.#.............##...#...#.##.......#......##...##.#.....#..#..#.##....#........#..#...#...#........##....#....#..#...#.#.#.....##..#......#..#....#..............#..#..#....###.#.........##...............#..#.##...#.#..##...###......#.....#...#.#.........##.............#.#.###.....#...#...#..#....###.###..#..#..#...#.##....##.#...#....##....#............#.#....#...##...#.......#.......#.........#..#.###...#...####......##...#..........##....####..#.......##......#....#.#...#..#.......#..#........#.#...#.........#.#.......##.##.#..##.......#.......#.....##..##.....#..#.##..#...##..#...#.#..#.#............#......#....#....#.....##.......#............#.....##...#...#........#.#.#........#........#.#.#..##...#.#..##..#.....#.#.##..#.#.#.##..#....#.#.........#.......###.............#...#...#...##.............#.##...###.#...#.#....#.......#.#...#....#..#.#..........##...#...##.#..#.....#..........#..#...#........#.#..#................##.#..#.........#.......#..#
###.#....#.......#..............#.....##.#..#..#...#....#......#......#..###.##.....#..##.#.......#.........###..##.........##.....#.#..###.#.##...###........#.......#......#...#..#..#.....#..........#.##........#.#.........#.........#..#...#....#..#..#...#......#.#......#.#...#...........#......##..###....##...#...#..#....##.....#.#..#.##....###...........#.....#........#....#...#...##.#...#....#..#...#....#...#.##...#..#....##...##...##.#......#...........#...##....#....##..#.###..#..#.....#..##.#.#......#.....#....#.........#..#........##...#...##.#.....##.....#.#.....###.........##.##.......##......##.##.....#............#....##....#................##......##....#.......#..........#...#.#........#..................###..#.........#..#...#.......#.#..####.##.##.......##...#.....#...#....##....#....##.......#......##......##.#...#.##.#.........#.#....#..#.#..#..#..#.........##...#######...##....#.#..##.#...#.....#....#.....#.....#...##...#.............#.#..#..#....#...##...........
#.....##.#..........#......#....#.#.#....#.#...#...##...#.................#####.#......##..##.....#......#..##...#...#.#....##.#...#.#......#.#....###.....#..#..........#.............#........#.....#.###.#........#.................#..#####..###........#.......#.##........#..#......##......#........#.##..#.......#...#.............#.....#.#....#.##....##.#...#.....#.......##........###.##......#......#..............###..#....##.#.##.#.....##.....#............#....#......##...#..#.#.#...........#..........#.......#..#.#........#...#.#.#......##.....#.##..#.#..#......#.......##.....#.#.........#....#...#..###.#...##.#..#.........#....#...#.#..##.#....#..#..#.......###.#.#.......#.....##...#...#.#.....#.#....##............#.#####.......#....#...#...#...#..#.#.#..#...#.##....##.......#.........##....#.....#...#...#..#.............#...#.#.#.#..#...#...............#..##.#.......#..#......##....##..#.......#........##...#.#........#..........##...............#..#.##..#........#..#.#.....#...
##....##.........#.........#........#.#..#.##...#..##..#...#...#......##...#.##.#..##...#.#####.....#.#....##.#..#....#.....##.##.##......##...#...##....#...#.#..............#..#.....#.....#..#.....#.##...........##..........#.....#....#.#...##...#....#......##.#............#..#....#......#......##..##.....##.......#..#....##...###.#.........#.##.#..##..........##..#.....#.........##...........#.#..#.#.#...............#..#.....##.........##...........#..........#........#.#.....###.##..#...#...#.....#..#...#..##.##..#...........#.#.....#.###.....#.#.....#..#........#.....###.....#......#...#..#.#......###.....##.#..#...#..............#.##.#..........#...#........#.................#....#.....#.......#..###...............#.#.#..#.........##..#.....#..#.#.##.....#...##...#.#..................#....#..............#.##..#.#.........#...#.#..#.....#.#.#.#.......#.#...##........#..#.......#...#....#.#...#.#...................##.#.#.......#.......##.............#....#.......#....#.#........#
###.#..#.#.......#...........#..#...#......##...#......##..#...#......#..#.#.#..#..#...##.....#.....#....#...##......##........#..#..#....##.#...#.#...........#......##.........#....................#..##.#.......#.#........#.......#...#..#....#...#.#.#.#..#..#..#..##........#.......#...............#.#......#....#..........##.#...##.#..#........#..#..##.#...#....#...###..##.........##.#......##.#...#..#.##.........#.#.##....##.##....#...##.#...##..#...#..........##....##.......#.#.##.#.....#..#..#...........#...#....#........#...#.......#.#.#........#..#.....#.......##....#.#....#....##........#.##......##.#....#...................#...#.#..........#..#..#..#....###.#.........#.....#.....#..#.......###..#.##.....#........#.#....#..........#......#.#..##...#.#.##.##.#......#.....#...#.........#...##....#...#.......#....#.........#.#.........##...#.#.#....#....#....###.#....#..####........#.#...##..##..........#......#......#...#........#....##..........##.#.##.#..#........##.........#.
....#...##.#.....#.......#...#....#.#.##...##...#..##...#......#...........#.##....##..##.....#...#.#.#..#..##........#......#.##.#..#...##..#...#.#.......#.#.#......#..#.............#.....#........#..###..........##.........#........#.#.........#....##.......#.##..#........#..#...#..........#........#.....#........#..#...#.#...#......#.........#.#..##...........#..#....#.....#...##..##.#...##.#.#.......#.......#.##...#..#..#.###...#...##.#...##..#...#......#...##......##.#...#.....#...#..#..#.##..#.#......#..#.....##.......#..##.#.....#.#.#.......#..#..#..#..............#.......#..###.##........#.......#..#...#....#.#.......#...........#.##.............#.#....##..#.#..............#...#.....#.....#....#..#......#.....##..#.#.............#..#.......#.##......#.....##....##...#.....#...#....##....#........#...##..#..#........#..#.#.....#..##......#.........#..#.#..#..#.#......#.....####.##....##.........#....#....#..................#....#..............##.#.##..#.#....#.#.##.#.....#...
###.#..#.#.#.....#.........#....#.#......#.#....#...#......#.............#...#.....##...#..###..............####..#....#.....#..#.#..#..#...##.#....#........###......#......#...#..#...........#.....#.###.#..........#.......##......#....##....##..#..#.###..#.........#...#...#.......##......#........#.###.........#...#......##...#.#..#..#.#.....#...#.....#...#....##.............#....#..........#.#.#.##...#....#..........#....##.......#...#......#...#...#..................#.........##..#........#..#..#.#......#......#.###....#.#.....#.......#.........#..##.....#.......#.......#......#..##.#...#..#.##..#....#..#..##.#..#.#.#...........#..#..#.##.#..........#.......#.#...#.......#......#....#..#.#......###..#.......##.....###.#.#.......#........#...#.#......##...##.##......#.....#.....#...#....##...##....#...#...##......##.......#.#...#.#..#.##..#...#...........#...#....#....#..###....#####.#....##..##.....#.#..#....###......#..............#.................#.#..#..#........#..#.......#.
#......##..#...............#.#..#.#...#..#.........##..##..#..........##..#.....#..#......#.......#.#......###.......##......#..#..#.#..#.##.....#.......#..#.##......#.#....#...#..#..#........#..#..#.....#........##........###.........##.....##..#..#.###.....#..........#.#..........................#.##..#..#....#............##....#.#.........#.#..#..##.#........##..##...#.....#.....#.##.#......#.#.##.#.#....#...#.#.#.......#...#...##...#.....#.#.#..........##...##.......#.##....####.#.....#..........#..#..##..##....#.#....#.#..##...#.....#.....#.#.#.........#........#.....##....#...##..##.....#.#...#..###..#..##.#....#.....................##......#..#...#.#......#.#................#...#...#.........##.#..#.....#.......##..##.......#..............#......####.#......#...#.........#.........#.#...##....#.......##..#...#.....................#.#.#.#........#.......#.......#.......#....##..#..#...##..##....#..#..##...###...##...................##..........##.#..#.#..#...........#.....#..#
##..#...#................#.#.#....#......#.....#......#................#.###..#..#.#...##..#..#...#.#.#....#...#.#...###.....#.............#.#.#....#....#.###.........##.....#.....#..............#.....#..#........###.......###.....#...#.#.....#.....#...#.....#...#.#........#...#..............#....##.#......#........#..#...##.#..###.......#....#.#.#.........#....##....#...#..........#.##.#...##.#...#....##.........#...##..#.#....##.##...#.......#..#...#..........##.......#.##..#.#####......##....#....#.....##......#.#.#....#....##.......#...#...#.#.#..##....##.....#.#......##....#.#.#....#..#....##......##.#.........#...#..........#...#.#.....#.......#..##.#....##............#.....#........#........##..##.#.....##......#.#.##..##...#.#..##..#...#.#..#...####.##..#.#....###...#.#.......#.......................##.#.....#......#..#.#.#.#.#....#.#.#.#......#....#.....##......#................#..#.......#..#..#..##.....#....#...........#..###...#..................##.#........##.#.....#...
.##.#.##...................#.#........#....#....#...#..##..#.............#.###..##......#.##..........#..#...#.#.#...###.......##.##......#.####....#......##.##......#.#...........#..............#........#.......#...........#.........#..##.......#....#.#..#..#..##.##.....#.##......#..............#...#...........#...#..#...##...###.....#.#....#....#..#..#...#...................#.....#....#...#..#....#.#.##..........#........##..###.##...##....#.#..#...#.....#....##.........##..#...###......#....##..#...........#..##.###.........##...#..................#..#..#......#..#....#.#......#.#....#.......#........#.##..##....#...#.....#....##....##..#......#..#...#.......##...#.......#.....#....#...#.#.....#.##.#........##...........#..##...#.#..........#.#...#..##.#.##.##..#...##..........#....................#..#...#...#...#........#.#.#....###.##..#..........#..#.....#.##.........#.##....#..#..#..#.#...#.#.........#.....#...#...............###..............#.......##......#......#.....#..#
....#...##.#.............#......#.#....#.#..#...#......##......#............###..#.#...##.#...#...#...........#..............#.#............####.....#.....##..#.......###...##.....#..#.....#.....#..#..#.##........#.#.......##......#..#..#...###..##...###..#.....##.##...#.#.........##.........#....#...##.....#.......#..#........####...........#..#.#..#......#.....#...#...#.....#.....#....#......#.#.##...#..........##...#....#..#.#..#.....##...##..#....#......#....#....####..#..#.#....#........#..#..#.#..#..........#.#.#......#..##.#.#...#.#.#...#.#.##.#......#.......##.....##......#..##.##..#.....#..#...##..#.....#......#.....#....#...#...................#........#...#.......#.....##...##....#......#.#.#.........#......#.###...##........#.......#.#..###..#.#.##..#.##....#....#.....#.......##....##........#...#..#.....#.................##...#.#.#.#......#...........#..........#.#...####..##...#...##.#........##...#..................#...#...............#..#.#..##.#........##.#.....#.#.
.#.........................#......#...##...#...#...##.#.#......#......#..#.#.##..#.##..##.#.###...#.#.#..#........#...##.......##..#......#..##..#.#.#.....###.#......#.#....##........#.....#.....#..#...###.......####...............#..#......###..#..#.##......##.#..#....#...#...#...#...............##.#.#.#..##...#...#..#...#..#...#..#..#..#.....#.....#..#........#...##....#....#.....#....#....#.#......#.##...#.....#.#.....#.#..#..#.##....##...#.#............##....#.....#.#..#..#..###....#..##.#.#.#.#........#..##.....##....#.....#.......#..##...#.#.##..#.#...........#................###.#...#..#..#......#...#..#.....#..............##..#.#...#.#....#..#..##......##..#........#......#........#.#.....##.#.#........##.....#.####........#.#..##..#........#.....................#.......#.#.............#.....#...#...#..#....#............#.#..##...#......#.#....#..#..#.###.#...........#......#.......##...##.#.........#...#.#...#..#.#.......#..###...#..........##...#..##.#....#......#.....#...
#.#.#...##.#.....#.......#.#....#...#.##.#.##.......#..##..#..........#..#...#......#...#.#####.....#.#.......#..#....##....#...#..#.#....#.###.....#.........#.......#......#......#...........#..#....##..........###........##.........#..##..###..##.#..#...#...#...........#..........#......#.......#...##.#..##..........#...#.##.##........#.............#.#...#..........#..##.........##.##.#....#.#...#.........#...#...#..#..#.#....#.........#....##.#...........#...##.........##..#....#.#..#.....#.###......#..#....#.##..##....#.........#.......#...#.#.#.....#.........#.##...........#.#.#.......#.....#..#..........##......#.#.....#....#...#..#.##.#....#..#..#........#....#..................#.....#........#.#........#......####.##............#.......#.#.###..###..####.......#.#..................##...##....#.......#..##..###......#..#.#.#..##..#.#...#.#.#.......#.#..#..##.#.........#.....##.#..........#............#............#.#.#........#.#..##...........#...#...#........#.##...........
..#.#...##.#.....#..#......#.#......#..........##.....#.#......#......#......##..#.#....#...#.#...#.........#.#.......#.....##.....#.#..#.#..###....##......#.#.......#.#....##..#.....#...........#....#.###.......#..#.......#.#.........##....##......#.###..#..#...#......#...#...#...##.............#...#......##...#...#......####..#.........#...####................#...#....#.....#.....#..#.....#..#...##.#.#........#.#...#...#....####......##.#...##.............#...##....##.#..#....#..#....#...#.#...#.#........#..##.##.#............#.......#.........#.##....#.........#..#....#......#.#..##.##..#....##..#...##.##.......................#...#..#.#.......#........#....#...#.#......##......#.......#.......#.##.#.##.....#...........##..#......#..##......#.#.#....#.#..#####..#...###.......#.....#...#.....##....#...#...#..#............#..#...#.##.#..#.............#....##..#.#..#.#.....##.....#.#.###..............#......#...##.....#.#...#.....#..##...##..........#..#.##.........#.#.##.#.....#..#
.#..#...##.#........#........#....#.#..#...##..##...#.#.#.............#....#.......##..#...#..#.......#..#...#...#...........#..#..#.#..##.#..#....##.......#.#........###....#..#..#........#..#..#..#..#.##..................#.#.........#......#......#.##......#..##......#....#..#...#.......#..#....##.#......##..............##.#...##....#.#....#..#.#..............#....#...##....#.....#.##......#.....##.#.##.........###........#...#...#.....##...#.............#.....#....##....#.......#..........#.#.#.#....#..#.......#.#........#...#.......#.#.........#..#......#.......##......#......#.##..#........#...#....#..#..#.........#................#.....#.......#...#......##..#........#.......................###..##.......##.......#..#...#....#.#..#.......#.#.##.....##.##..#..#...#.......#.#.........#...........#...#....#..#..............#.#.#.#.#..#.#...#...#....#.....#.##.#....#..#..#......#..#.##...##...##.#..#.....#....##.....#.#.#.......#....#.................#.#...#.#......#.#........#.##
#...#....#.#.............#.#.#..#.#........#...##..#..#.#..#...#......##...#.....#..#.......#.......#.#..#..####.....#......#..##.##......#.####.#..#.................##.....#...#..#..#.....#..#.....#.####..........#........#..........#.###....#........##..#..##.#..##.....#.#...#...#...............##.#.#.#..##...#............##.#.#..#..#......#.#.....#..#...#.....#........#....#.......#..#......#.#.##.#.#....#.......#.##....#...#....#...##.....##..#..........#....#....###..#.....####....#..#....#...#....#......#..#..#.#.........#..#.#...........#.#.##.#.....##.....#..#....#...........#......#.....#..#....#.##..#..#......#.....#....#......#............#...#.#....#...#.#..............#...##....#.......##.................#######..##.....#............#..#.....##.##...............#.............##..................##.#....##......#......#..##..###.#.............#.#..###.....#..#...#.#....#...#......#..#...........#....##....##...#...........#................#...##..#......#...##.#.......##
.##.#.#.............#........#..#...#.#..#.#...##...#......#..........##.###..#....#....#..###.............####......#......#...#.......#....##..#.#.#......####......#..#...#...#..#..#........#..#......#.........##..........#......#....##.....#..#.........#.....##........#.##..#...##.........#...#....##....#........#..#..........##....#..#...###......#.#........##...##...#....#....#..#..#...........#...##...#.....#.#.#...#..#..##..##..................#......#...##......##..#....##.##...#..##...##..#....#...#..##.....#..........#..#.#...#..##.....#.#...#....#......#.##............##...#.....#.....#..#..#..........#......#.....#........#..#....#..........##.#....###.#........#.......#...##....#.....##...###..............###.##..##...#.....#........#..#.#.###....#.#.##...##....#.#.#.....#...##.....#....##......#...#..###......#..#.#.#.#.#..##..#.....#.........#...###....#..#..##......##.##.....#....#............................#........#................#.....#.##.#....#...##.......#..#
.##.#....#.#.............#.#....#...#.##.#.##..#......#.#..#...#.......#.#..#.#..#.....##.##.##.....#.#..#.###....#....#.....#..#..#.#.........#.#..#......#.##........#.#..........#........#..#..#....##..#.......####........##.....#..###.....##..#.........#...#.##.#....#.#.........#...............#..###.............#..#....#.#.#..#.#..#.##........#...#.#........#...#................#....#..........##....#..........##.##..........#.#....#.#....##.##.........#................#..#.##..##..#..##.#..##...#..#...#......#.#......#.#..#....#......##...#.#.#.........#.......##......#....#.#..##.##.....#..#..#..###.##...#....#...#..............#.#..##......#..#.....#....###..........##..........##....#.....####.##.#.....#.......#..##..........#..#...#.......####.#.##.#.#.#..#....##...#.....#...#....#..........#...#....................#.#.#...###......#.....#..........#.###...#..........#.....##..##..#.......#...#.#.......###...#..#.#.#........#....##..........##.#.##..#........#..#.......#.#.
##..#.#....#.............#.#....#.....#..#.##......#..###..#...#.......#...##.#.#...#..#....#.....#...#..#....##.#..........#..#..#......#.....#...#.....#.....#......##.#.......#.................#..#..#.##..................###.....#..###....###..##...##......##.##..#...#.......#...........#.......#..........#...#..........##.#...#..#.....#.....##.#...#.#...#.....#....#..#.............#..#...##.#.#......##...#.....##......#.#...##.......##....#...##.........#....##.............#.#.##.#......#....#..#....#..#.......#..#.......#..#..#.....#.###.......#..#......#.....#..#....###....###.##......#.....#.....#....#...#....#...#.....#....##........#.#...........#......#...#.#.............##...##..#.#.....###....##......#.....#.#.##...##...#.#..#.......#.#.#......#...#..#..#.......................###....#........#......##..###......##.......###..#.#...#.#.........#....#..##.........#......##.#..#...#...........#.#..##...#.#...##.....#..........#..............#........#.#......#..........#..#
#...#..###.................#......#.#.#.....#..#...#..#....#...#......#..##...#.#......##..####...#.#......#.###..#....#.......##....#..###..#...#..##......#.#.......#.##.......#..............#.....#.....#.........##........##.....#....#.#..###..#....##...#..##.##.#....#...##..#...##.........#.......###....##...#...#......#.#..#.........#.......#.....#.#.........#.......#..........#.........#......#....##.......#.#.#.....#..#..#........####..###......#.....#.....#......#...#....######.....##.#.##..#.#..#...#.........#.......#...#.#.#......##...#.#....##.....#.......#.....###....##....#.....#..#.#......##..#....#.#..#.#.#.....#........#.....#.#....#..#...#.#....#.#.#.#.............##...##..#.......##....#.#......#......#.......##.....#...............#.#...#..####..##.......................#.#...#.....##..#.......#..#.............#.#.#......#.#.#.#.#.........#..##..#..........##.........#.#..##...#..#.........#...#......#.#.#.#.....#...................##...#..............##.#.........
###.#.#....#.....#..#....#...#........##.#..#..#...#..#....#...........#.#.#.#...#.#...##...#..............####..#.....#....#..#...#....#.#...##.........#.#.#.#......##.#.......#..............#.....#.#.##........#.##.......##......#..##.##...##..##....##.....##.##..#...#.#.##......##..................##.........#...#..#......#.####.#..#.#....##...#.........#.....#..#.#...#....#...#....#.#...#......##.#......#...#...#..#..#.#..#..#.#....##....#....#...#......#...#.....#.##..#.....###.#..#..#..#..##.#.#.....#...#..#...##....#.#..##.#.....#..##.......#.....#...#.....#.......##......#..#...#...#..#..#..#..###.#......#....#.#.....#........#.#..#..#....#..#..##.#....#...#.#......#...............#........#.#.##.......##.....##.#.#........#........#...#.#.#..#....#..#.#..#....###...#.....#.......##..................#..##..#.#.........#.#...##.#...#.....#............#..#..#.#....#..#.##...#####..#.......#.....#..#..#....###........#.#.........................##.#.##..#.#......#..#.......#.#.
#...#...#..#...............#....#...#.##...#...#...#....#..#..........#...#.##.....##......####...#..........##..#....#.....##.#..##.#..##..........##...#............#.#........#..#..#........#..#..#...#.#.......####.......###.....#..#.#....#.#..##....#...#..#...#.#....#.......#...#..........#.....#.#.......#...#...#.......#.#.#.#..#.....#...#....#.....#............##...#..........#.....#...#..#.#.##...##...........#..#....##..###.##....#.#....#.##.........##.........#.#........#.##.......#....#.#.#....#..##..##..#...#....#.#...#.#.#......##.......#.....#..##.....#.#.....##.......#...#..#.....#.#......##...#........#..............##....#...#.#....#..#..##.#....###...#......##.....##...##....#.....####.###..................#...#....#..............#.##...#..#.##.#.......#.....#.#............##..........#..#...##..#..#........#.........###..#........#.........#......#.#.........##.......##.#.............##.#..##...##.....#.#.#.#.........##..##..........##...##..#......#......#.....#.#.
#...#...#..#.....#..................#.##....#...#..##...#................###..#.##..........##......#....#..#....##...##.....#..#.#..#...#....#..#..##...#...#........#.#.....#..#..#..#.....#..#..#..#..##.....................##.........##.#..#.#..##.#.###.........#.##.......#...#...#.......#..#.......##..#..............#....#...#.##.#.....#....#...#.....#.............#....#........#....#......#...#....#.##.......#...#..#..#..#..##..##...#.....#..............#..........##.#.##..#...####..#..##...#...#.......#...##.....#.......#...#..........##.......#...#.#.........#..#....###....##..#...#...#....#...#......##..#..#..#.#................#.##.#..#....#........#......#..........#......#....#...........##...#........#......##.#.##...#...#.#......#.....#..##...###.#..#..#.....#....................#....#........#......##...#.......##...#.#.####.#...#...#.#....#..#.##.###.#...#..#....##...##.#####.......#...........#..........#.................#..##..........#..#.#..##.#......#.##.#.......##
..#.#..#...#........#....#.#........#.##....#.......#.#.#....................##.##.....#....#.....#.#.#..#...###.....#.#.......#...#.#...####.##....#....#..#..#......#.#....##.....#...........#.........###..........................#...###....##..#..#...#..#.....#...#.....#.##..#...........#..#...#...##..#...#...#...#......##...##...#.........##.........#........#...#.#..##....#...##..##.#......#........##.........##...#.......#.....#...##....#........#.....##.........##.#.##..#.#...#......#.................#......#.#......#....##...#.....#.#...#.#..#.......##.....#.##......#.....##.#.#........#.....#..#....#..#..#..................#...............#..#..#..#........#.#......#......##...#............#...#..#.....##.....#.#........................#...#..#..#....#..#.##.........#...#.#.......###...#.....#..........##...#........#.......####.#.......#.#.......#......##.......#...##....#####......#....#.#..#..#........##...#..#.........#....#..#.................#.#..#....#.#.##.#.....#...
....#.##............#....#..........#..............##..#.......#.........##..##.##.....#....##....#...#....#####..#............##.#.....###.#.##.#..#......##.##......#.......#.....#..#..............#.#.###.........##.......#............###..###.....#...#..#........##.......##..............#..#...###..##.....#..........#......#.#.##.#....##...##...#.....#...#.....#...##..##....#....##....#......#.................#.#....#....#..###..#.....#.#..###.................##....##...##....#..#....#...#.#.##....#..#..#....#.#..##.....#...............##........##..#....#......#.##....##.....#.#.#....#..#..#..#..#..........#.........#..............#....##.#....#.....#.......#.#......................##....#.....###...#...............##.#.#.........#...#..#.......#......##.####........##...#...#.....#...#.....#.....#...#.......#............#.#........#.##..#.....#....#....#..#..#..........#..#....#.#...#....#..#.....##.#...#....##......#.#..........##...#............#...#..........#.#.#..#........#
###...##.#.#.............#.#.#......#.##.#......#......#...#..........#..##..#...#.....##.#####...#......#.####..##..........#.#...#.#..##..#..#.#.#.#...#.#.#........##.....#.........#.....#..#...................####.......#.#........#####...#....#.#...#..#..##..#..........#...#...#..........#...#.#.##..#.......#...#..#....###...##....#.##...###..#...#.#........#...#....##....#...#.#....#....#...#..#.#......#...#.#.......#....####.#.....###..###.##...#......#....#....#....##....##.#.#..#..#......#.#.#.........#..#..##...........#.#.#.....###.....#.#..##.#...........#.....#.#.....#......##.....#.#.......#..##.....#..#.#............#......#.##......#..#...#.#....#.#.#...............##...##....#.....#.##.##.#............######....#...#.#...#........#..#.#..###..###...#....##...#...#.#........#.....................#............#......#.#..#.#.#.......#....#........##.....#.....###....#.##......###..##.#..............##...#....#.......#..##...#...........##...##..#..........##.......#.##
..#.#...#....................#........##...##..##..........#...#.......#..##.##....#....#.....#...#.#....#.###....#..#......#..##.#..#...#....#.....##...#...##.......####...##..#.....#........#..#..#.##.##.......#.##.........#........###.#..##...##...###.....##.##......#.#........................#....##.....#...#...#..#...###...#......#..#...####.#.........#....#...###..#..........##..#......#...#..#.#.#....#.....#.#..........#..#............#.#......#.....#.....#.....#....#....#####.......#.#.##.......#..##..#..##..#.....#.#...#.#.....#..#......#....#.....#......#.##....##.....#....#..#...#.....#..#..#.#.##..#.....#.........#....#.........#.#.......#...#....................#......#...#...#........#.#..........##.....#...###..#.........#...#...#....###......##....##...#.#...#...#.........#......#.....#..#...##..#....#......##.#......##...##.....#............#.#..........#..#.#....###..###..#.......#..#.....##....##......#.#...........................#....##..#.#...................##
#.....#.##.#.....#.......#...#..#...#..#...##...#...#...#..#...#.......#.##.##..##.##...#.........#.........###..##..###....##.#...#.....#####.#...###...#.#...........#.#...#......#...........#..#..#.....#..................##.........###.#..###............#........##...............#..........#.....#.##..#..#....#...#..#...###..#.##.#..#.#.....##........#...#....##..##....#....#...#......................#....#.....###.#......#.##.#......#.##..###..#...#......#.........#..........###.##..#..##.#..#..#....#...#......#..#.......#...#.#.#...#.###...#...##.##....#......#..#...............#.#.....#.....#..#..#...##............#..........##.....#.##......#..#...#.#....##....#.......#......#...#.....#...........#.#............#...###..#....#.#......#.........#..####..#.##.#.....#........#.....#....#....#......#..#...##..#..#.#.......#.#.#.#......##........#.............##...#....#..####...###.#......#...#........#..##...#.....#..#.............##..##..........##...##.##.#...................#.
......#....#...............#......#...#.....#..#...##..##..#.............##..#...#..........##........#....#...#.#...##........#..#.......#.##.#...###...#.#..#..............##..#..#..#.....#.....#..#.###.#.......##.#.......##......#..#.###..#.#...#.#..#.......#.#.......#.#.##..#...##.............#.....#....................#.#...#...#..#..#...##.......#.#...#........#.#..##....#....##........##.#....#.#......#...#...#.##....##.#.##..#......#...#..#..........#..........###...#..#....##......##....##.#.#..#.........#..#.#............#.......#.#...#.#.##..#....##.....#.#.......#....##..##.........#..#.....###.##..##....#.........#.....#..#.##.#..#..........##.......##.#........#............#..#........###..#........#......###..#..##...#.#......#...#....##....#.........#....##.....#.#.....#...#.....##............##......##...........#.#.#..#.##........#.........##.#...#.........###....#.#.#.#.....#...#....##.#...#...##.................#....#...#..........##................#.##.#.........
.#..#.#.##.#.....#..#....#.#....#..........##......##..........#......#..#......##..#.......###...#......#.#.#.#.##...#.....#..#..##.#..###......#.#.....#.##.##......#......##..#..#..#.....#.....#..#.#####.......#..#.......#.#........##..#.......#.....##.....#............#.##......##.............#.#.#......#....#..........##.#.####.#..........#......#..#............##...#.....#.....#.#......#......#.....#.......#.#.#.#.....#..###.......#.##...##......#.....##....#....##....#..#.###.##......#.#.###.#.#..#...#...#......#....#.#.....#.#.....###...#.#..#....#..##.....#.......#.#....#...##..##.......##..#..###.#...#..#..#.........#....##....#..#..#..........#........#..#........#......#........#.......#......#.......#.....##.#.##..##................#.#..###.#.##.#.###.##...#.......#.#.#........##...##.....#......##.......#......#..#.....####.#...#.#........#..#..........#.#.....##.#...#..##.....##......#..##.#..#.....#.................#...##..#...........#.....#.##.#....#...#........#..#
##.....##...........#...............#.#..#.#...##.....................##.###..#.##.##...#.##.#....#...#..#....##.##..###.....#..#....#....##.#.#.#..##...#.....#.......###...##.....#..............#..#.#.#..........#.#........##.....#.....#...###.....#......#...#....#....#.#.##..#..................##......#.......#......#...#..#...#.....#.##....#......#..#........##.......##....#.....#..#......#.....#..#.##.......#..##.#...#..#.#.##.......#....##..#................#....#.#..##.....##........#..#...#.#.#.....##...#..#.#.#....#....##.......#...#.......##.##.#..#........#......##......#.#.#.##.....#........#....#...#......#.#..............#.#...#.#....#..#...#.#....###.#................#.......#.#......#.#.#..#.....##.....#...##...#....#.#......#...#...#....##.#.......#.....##.....#.#.#.........#....#............##.....#.#......#..#...#.#..#..#........#....#..#.#..#.##....#......#.#...##...#.........#.....#..........#.....##...#.#.....#...#...##...........#......#...........##.......#.##
..#...##...#.....#.........#.#..#.#...##.#.#...#....#..#...#...#.......#.###....##.##......#.#......#.#....###.#.......#.....#.##....#..##..####...##......###...........#...#..........................##.#.........##..........#.........##.#....#.....#...#..#..#.....##...#............#......#..#...#.#..#.....#....#.............#.####....#..#...#.#.....##..........##....#...#....#.......##.#....#.#.#.#..#.##...........#..#..#.#..###........###...#..#....#......#............#.#.....#.##.#..#..##...#.#...#..#......#.....#.#......#...........#.......#.#..#.##.....#.....#.#.....#.#........#...#........#...#...#.......#.#..#....................##.##.#....#..#..#..#.....##.#.#......#......#...................#.#..#.....#......#...###...#...#.#............#..#....###.#####..#....#....#...#.........#.....#......#.........##...##......#..#...#.##.#.#.#.......#.........#.....#..#.........##......#...#..###..#..#...#.#..##.........##.#.#.......#....#.................#.#.....#....#............#...
.#..#.####.#.....#.......#......#.#....#....#......#...#..............##.#.#.#..#.......#.#.##......#.#..#.#####.##..##.....##.#.....#...#.#..#..#.###...#..####.............##........#.....#..........###.#.......#.##...............#..#.#.........##...###..#..##.#..##...#.#.##......##.........#...#...##.....##.......#..#......#.#.#.......##....##..#...#..........#....##..#.....#....#..##.....#......##...#....#......##........#..#.#..#...###....#.......#......#.........###...#........##..#..#....#.#.#.......##..##..#..##......#..##.........#.#...#.#.................#.........#....#.#.###..#..#....#....................#.........#.....#..#.##..#.#....#.....##..........#.........#..........#...................#......#.....##...##...#...#.#..##..#.......#......##.##....#..........#.#.#.........#......#............#..#....#.......#....#....###..#.............#..#.##.#.#...#...............#.#......##...#..#........##.....#....#.#...#.................................#..#......#..........#...
#.#.#.##...#.....#....................##.#..#......#..###......#.......#.##.##......#...#.....#...#.#......#.##..##..##.....#..#........###.#..#.....#.....###.#.......#......#.....#..#.....#..#..#.....##.#.......#..#........##.....#..##.##..###..##.#.#.......#..##.#....#.#.##......#.......#........#.#......#...............####.#.##.#..#.......#.#.......#...#....#...#.....#....#..............#.......#.#.#....#.........#...#..#..#...##.........##..##...#......#....#....##....#..#.####....#.....#..##.........#....#..#..#.......#..............##...#.#.#.....#..##.......#.....#.#.....#..##..#................##.#...#.....#...#..........#.....#..##.#....#..#..##....................#.....#....##..#...............#.....#......##..#.#..#....#.#......#.....#..#....#.#.#...#.#................#...#...#.....##.............#.......#.......#.......##...##......#.#....#..#.#...#.#.......#..#......###.####..###..##.#..#............#...##...#.......#..#.................#.......#.#......#..#.#.....#.##
###....#.#.#.....#...........#......#.#..#......#..##..#...#...........#...#....##.##..#..#.#.#..........#...###......#........#...#.#..##.#####.....#...#.#...#......####....#..#..#..#........#..#.......##.......##.........###.....#....#.#..#.#...#...#.......#...#......#...##..#...................#..#.#.#.......#...#..#...####..#........##....#......#..#...#....##..#.#...#.........#...#.....##.#.#......#....#.....###........#.##...#....##........#....#.....#..........#....#...#...###...#..#.....##......#...#...#.#...#.....#....##.#.#...#...#...#...##.#.....#......#.##.....#.....##...##..............#..#.#.##..#..#............#.....#..#.##............#...#.......##...........#..............#.........#....##.....#......####..#...#...#....#.........#.###..#..#..##...#....###...#.#.#.....#...###....#....#.......##..#....#.......#.#...#.##.......#.#...#....#....##.##.##.#.#......#.#...#..##.#...##......#...#.....#.........##.#.#..........###..##...........#...#..##...................#.##
.##...####..........#........#..#...#.##...##..#....#..#...#..........##..#.#.#.#..##..#....#.#.....#.#.....#.##......#.....#..##..#.....##.##......#....#...##........##.....#..#.....#........#..#..#...###.........#........###.....#..####....##.......#....#..##..#.##...............##.........#...##..###....##.......#..#.....#...###.#..#......####.......#.......................#....#..##.....#..#...#....#....#......#...#..#....#....##...#.#...#.#..#...#.....##...#..........#...#.##..#......##...#.#.#.#..#..##..##.##.#........#...#...#...#...#.....#.#..##....#......#..#.....##....###..##..#.....#.........##.#...##.#.................##.....#.##.........#...#........#.#.#.............#.....#...........##..####......#.....#....#...##...#.#......#.......#..#...#..##.##........#...#.#.......................##..#......#....#.......##...#...##.............#....#....##.....#...#......##........##.#........#.#...#.....#.....#...#.....................#...........#.#....#..#.........#...........
#.....#.............#...........#.....#..#.##...#..##...#..............#.#.#.#..#..##......##.#...#...#......##..#....##.......#...#....##.#.#.#....##.......##.......##.#....#.....#..#........#.....#.##.#........####.......#.............##..#.........#.......#...#.##...#.......#....#.............#.#.............#...#..#....#...#..#.#..#.......#.#.#...#.#...#........#.#..#.........#.#..#......#.#.#.##........#.....#.#..#....##..###.#.....###..##..##...#......#....#....##.#..#..#.#.##.#..........##....#......#..##..#...#....#.#...#...#.....#.....#.#..........#......#.#.....#.#.....##..##..#..#..#..........#.##..#..#....#.......#....##.....#.#..#.......#.....#......#.#........##......#.......#.......#.#...#................####.............#.......#.#..#.#.##.#.#..#..##...###.....#.#.........#.#..........#.......#..#..###......#..#.#...#.#..##..#.#.#.#.......#.....####.#.#.......##....##..#.#...#...#.....##....#.....##...##.#.#.#.....#..#.#...#..........#....#..........#...##.........##
..#...#..................#...#..#.#...##........#...#.##...#...#.........###..#.##..#..##.#.##....#...#..#.#.###.#.....#....##.....#........#....#.###...#..#..#.......##....#...#..#..#.....#..#..#..#.#..##...................##.....#....#.#.......##.#..##..#..#..##.##...#.#..#..#...#..........#...#.#.###.#.......#......#...#.##...##....#..#....##......#.#...#.....#....#..##....#...#...##.#....#.#.#..#...##.......#.##...#..#..#...#..#............#..#...............#....#.#...#....#...#...#..#..#.###.#....#..#...##..#.#.#....#....##.#.#.....#.#.......#...#.#..#......#.##.....#......##.#...#......#........##......##....#...#.....#....#......#....#....#.....#.......#...#.#.......#......#.......#.......#.##..#.......##.......#.#.#...#...#.#..#...#.......###..#.##..##.#.##....#..................##....#......#.........#....#........#.#..........#.#...#.#.#....#....##.#.#...#.#.....#.#....###....#..###...#.#...#.#........##...##.#............#.....#...............##...........#..#.......#..#
..#.#.###........#..#........#......#.#....##..##..##.#.#..#...#......##.#.......#.#..........#.....#.#......#.#.##..#.#....#..##..#....######...#.##....#.##..#.......###....#....................#..#.####........####........#.............#....#.....#...#.....##.##..#.....#..#.......#......#............#.............#......#.#.......#..#.#....#.#..#..##.....#........###.................#.#......#.#.##............#...#..#.......#.##.#....####..###.##...#.....#....#......###..#.....#.#....#.....#.#.#.#....#..#...#..##.##.....#.#..#........#...#...#.......#.#.........#.......##..........#..##........#.....#.#..#..##.#..#.#.......#....#.....##.#..#.......#..#..#.....##.#.#.......#......#....#..#........###.#.........#.........#.#.......#.#..#.........#.####.#....###...##....##.....#...........###..........#..#...##.##..#........##...#...#....#.........#....#..#..#..#..#......#...##.....##.#..#..###...#.#.........#....##...#..#.#.......#..##...............##....#.##.......................
#.#.#............#..#.............#...##.#.#....#..#...##..............#.#.###..#..#......#...#............#.#...#....##....#..##.#..#...###.###....##.......#...............##..#..#..#.....#........#...###.........#.........##.....#....#.#...#...##...#.#..#...#.##.##.....#..#.......#.............##..........#..........#....###..#.#.#....#.....#...#..##.....#........#.#..#.....#...#.#..#.#...##...#..#...#..........###.##..#.##...##.#....#.#...#...##...#......#...#.....####..#..#.#.###...#.......###...#..#...#......#.###....#.#..#..#.....#.###.....#.................#..#....###.....#..##...#.......##.....#.......##........#.....#....##....#...#.#..........#.......#...#.#......##.....#....#...#........##..###.......#.....##.###....#...#....##..#.....#..#...#....###.#.##....##...#.#.#..........#..........##..#......#.................#.#..##...##...#.#.........#.#..##....#.#..#..##......##.#.#...#.#........##....##...###....#.#.#.#.....#...##..............#....#..##.#....#...#...........#
#...#...#..#.....#.......#......#.#....#.#..#..#........#..#...#.......#.#.##.#.##.##..##...###...#...#..#..##.#.#.....#.....#..........##..#..#.#.###.....##.........#..#....#..#.....#................##..#..................#.#........###.....##..#.....##..#...#..#..#...#...##.......................#.#...#..#................##...###.......#...#........#.....#....#....##..##....#...#...#..#...##.#.#......#....#...#..##..#..#....###...#.....##..###.##...#.....##...##....####.#...#..#..#...#.....#.###......#..##..#..##.#........#...#.......#.#.#...#.#.#...#....#......#..#....###....#....##.#........#......###.#....#......#............#...#....##.............#........#...#......##..........#...#.#......##...###......#.......#.#.........#.#..#...#...#.#.####.##...###.#.##....#........#.#...#.....#...#.............#..#....##......#........###............#.........#..#.#.#.#........##....##.#####..##......#...#....#...........#.#.#...............#...........##.#..#.#.......#.#..#.#.....#.#.
.##.#.#..#.......#.........#.#....#.#.#....#.......#....#..#...........#.##...#.#..#......#.#.......#.#....###...#...#......#..#...#.#......##......#....#.#.#.#......##.#...##..#..#..#.....#.....#..#...#.........#.#........###........#.###....#..#..#.###...........#................##.........#....#..##.....#....#.............#..#.............#.##.#..#..#...#.....#........#..........#.##.#......#.#.......#...#.....##.........#..##..#....####..###.#....#.....##...##....##.#.##.......#.#.....#....#...#.#..#......##..#.#...........##.#.#.....###........#.##....##.....#.#.....#......###.###..#..#....#...#...#..##...#....#.........#....##....##....#....#..#...#.#....##..#.#......##.....##.........#......#......#.....#.......#.###....#.........#......#.....#...#.#.......#..............#.#...#...#.#...##........#.......#..##.......##.#...#.####..##.......#....#....#..#.#.#.#.#..#...#.....###....#.......##.#..#......#...##....#......#.....#..#.....#.............#..#..#........#.##.#.....#..#
.##...###..#.....#..#........#..#.#.#.#..#.........#..#................#...###.....##...#.#####............##..#..#....#....##....##.#...######..#.#.....#..#.#.......#..#...##..............#.....#..#..##..........#.........###...........#...##...##...##.........##.#....#...#.......#..............###.##..#..##...#...#..#...###...#......#.##.....#.....##.....#....#.....#...#..........#..#.....##.#....#........#...#.##...#.....#.###..#....###........#..........#...##.....#.#.#......#..##.....#..#.##..#..............#...#.....#.#.....#.....#.#.#...#......#..#..#......#.#.......#....#...#...#...#..#..#..#..###.....##........#..........#........##............#..#......#...#......##.....#.....#..#.......####.##.#.....##......#..###..##.....#...#......#.#.#..#..###...##.......#.#...#...#.#...#....##...##....##..#..........#.............#.....##.#...#.....#.......#..#..#....#.#......###...###.####..##...#.....##.#...#...##....#..#.#.#.....#...##..##...............#.....#........##.#.......#.
..#...#....#.............#.#........#.#..#..#..##...#..........#......#..##.##...#.........#......#.#.#..#.##..#.##..###....##.##.##.........###.#.##......#.###......##.....#...............#..#..#....###............#......................#...#...##...##...#...#.....#.....#..#.......#......#..#....#..###.#...........#..#....#...#.........##...###..#...............#..##...#...........#.#.......#...........#...#......##.#.....#..##....#......#.................#..........##.#.#...#..##.##.....#..#..##...#.....#...##.#..##.............#.......#.#...#.#.##.##....##.....#.#.....#......#.#......#........#.....#.#..#.....#..#.#............##..#.##..#.........#...#.#....##...........##...........#.................#......#......#.#..##..#.........##........#...#....#..#..#.......#.#...#.#...#...#...#.....#.........#...#..##...##.......#...#..........#.....#.........#.#...###...........###.....##...#..#....##.#.....#..#....#............#.....#..###...#...........#...##.##..........##.......#..#
#...#.##.........#..#....#...#......#.#..#.....##...#..#...#...........#.#..###..#.##..#..#####.....#.#..#.....#.#....##.....#.#..##.#....##.#.....#.....#..#.#.......#.##....#..#...........#..#..#..#.##..#..........#........#......#...#.#.........#.#.###.....#...#..#................#......#..#...#.....#....##..............#.##.#..#.#....#....#..#.#..##.....#.....#..#..........#...##..#..#......#......#..#.......#.##..#.....##.#..#.........#......#....#......#...##.....##......#.######.....##...#.#...#.....#....#.##.#......#.#..#........#.........#....#.....#......#..#.....#..........#...#.....#..#.....#...##..##....#...#..........#...#....##.#....#......#........#...#.......#.....##.......#.#.......##.###......#..........##....#...#.#..##......#.#..#.#..#.#.#..##.##....#....#.#.#.........##.....#....#.......##..#................#.....#..###.#.#.#......#.....#.##.##.#.#........#...##.#...#...##...#.#...#.#..#......#...#....#...........##..#......................#....#.#.#...........#
..#....#............#....#.#.#..#.#.#......#.......#..................#..#...#......#...............#.#......#.......##.....#..#...#......#.##.....#.....#....##.......................#........#..#..#...##.........#.#.........#..........##...##...#..#.##.......#.##..#...#.#.##..#...##......#..#.......##..#..#................#...####.......#....#...#...#.....#....##..##...#.....#....#..##.#........#.#.............#.#....#..#..#.###.........#...#.#..#...#.....##...##......#........#.###...#...#...#.#...#..#......##.....#..........##...#...#.......#.#..#..#.#...#........#.....#.....###...#.##.....#.#...#....#.#....#......#................#.#..........#.....#.......###.#.#.......#.....##.........#.....#....##.#.....#......##.###...##...#.#..#...#.......#..#...##.###.#.##.....#.....#.#.....#....#...........#......##...............#.#.#.#..#...#...#...#.#............#.##..#.......##.#.....####.#..#.#.....#........##....##..........#..............................##....#......#....#.........
#...#..##..#.................#..#.#.#...........#..#...................#.#####..##..........###.....#.#..#..#.....#...#........##....#....##.#.#.....#...#...#.........#.....#.........#........#.....#.....#........##........#.#........#####...##..##...#...........#..#...#.#.##..#....#.........#....##..#.....##...#...#.........#...##.#.....#...#........#.#...#.....#..##....#........#...............#..#...##...#......#..##..........#......#.##...##.#....#.....##....#....#....#.....#.#.##.....##....##.............#...#.#.#....#.#.......#.....#.#........#.......##.......#......#......##..#..##..#............##..#..##.#....#.#.....#..........##.#..#.......#..........#.#......................##..........#..#..#.......##........###.............#...#...#.#.#..#.#.....####......###...#...#.........#.....#......#..#...##.#.............#............#...#.....#....#..#....####....#..#....#....######.#.......#..#.....#..##....#.......#...#.........##..#..............#....##.#........##.#.....#.#.
....#...#..#........#....#.#.#..#.#...##.#.##..##..##.#.#..#.............#.#..#.##.#...#...###....#........#.#.#.#...###.....#....##.....#.#.##.....#....#.###.#........##....#..#..#..#.....#..#..#....#.#.#.........##.......###..........###.......##...#.......#..#..##...#...##.......#......#..#...##..##..#..##...#...#......#.....#..............##..#..#..#...#....##...##.............##..#.#...#..#....#.#.##.......#..##.....#.#...###.#.......#..#....#...#.....##...#.....#.#..#...#.....#.......#...###.#....#...#.....#..#.#....#.#..#..........##........#.....#..##..............##.....#......#......#..#.....###.....##......#............#......#............#...#......#...#........................#.........##..##......#.......#.#.#..........#..##..#.....#.#.#..###..#.##...#.........#.#.#...........#..........#..#....#.#...#........##........###...#.....#...........#....###..........#........#..##....#.....#.....#..#....###........#.#.........##..##..........##...##.##.#...........#.......#.
##..#.##.........#..#....#.#.#..#.....##...#...##..#..#.#.............#..#####..##.##..#..#..##.......#.......##.##....#.....#..#.##....##.##..#...#.....#..#..#......####....#........#.....#..........#...........###.........##.........##....##...#..#.#...........#..#.....#.........##......#..#...###.#.#.#...#..........#...###...#.........#......#....#......#....#...#.....#....#...###....#......#.#.##.#.#....#.......#.##....##...#..............##.##..........#...........#..##....#...##..#.....#.#.....#..#..#...#...#..#.......#...#...#...#.#.....#.#....#..#..##.............##.....#.#.###..#........#......##.....##...................#........#..#....#.....#..#..........#.......#......#...#...........##............#......#.#.###..##................#.#..#.#.####...#.#..............#...#...#....#....##....#.......#...#...##......#........#.#..#.....#...#....#....#..#...#.#....#...#.#...########.......#......#.#..#...........#...#...........##...#..........#....#..##...........#.......#..#
....#...##.#.....#..#....#.#....#.#...##........#...#..#...................#..#.##.#....#...#...............#....#...#......##.#..##.#...###........#....#.##.##........#....#...............#..#..#..#.#...#.......#.#.........#.........#...#....#...................#.##...#...#........#.........#.....#.#.#....#....#...........#.#..##........#......#....#......#...................#.......##.#....#...#......#...........#...#.......##.#..#...#.##..###......#.....#....##.......#..#....#.#.#......##.......#.#.........##..#...#......#..#........#..#....#.#.#...#...................#......#.#.#.#..#..#..#.#...#..#.#.##...#.#....#.#.....#........#..#....#.......#...#......###..........................#.#......#.#.###.......#.....#..#..........#.#..##..#.....#..##..#......#...#......#...#.#.......#....#..........##......#.......#..........#.....#....#.#.#..........#..#..#.##.#....#.....##.#.....#....#..###........##.........#.#...................##....#...........#.#.##.##.#....#....#.#.....#.#.
##.....###.#........#....#.#......#.#..#.#.#....#..##..##..#...#......#..###.#...#..#..#...##.#.......#....##.##.##..##......#....##.....######..#.........##...........##...##.....#........#..#.....#.#..#...........#...................#...........#...###..#..#.....#....#.#.#.......##......#........#.###.#..#....#...#.......###.#.##....#.##.....##.#...#.#...#....##.............#.....#....#........#.#..#......#...#.#.......#.....#.........#....#....#...#.....##...##......##.........#.....#..#.....#..#.#..#.......#.#..#......#.#...........#...#.....#.#.....#..##.....#..#.....##..........#.##.....#..........#.##........#.#............##....##.#.......#......#.#........#........##...........#..#.#.....###..####............#.###.#..#....#.#...............##.........#...#....##....#...#.........#.....#.....#........#..#..#.........#.....#.###..#.#.#...#.#.........#...##.............#....##..#.##.......#........#..#....##....#....#.#........###...#.............#....##.#......#.#..#.....#...
.#..#...##.#........#....#...............#............#.....................#...#..##.....#..#........#....###.#..#..##......#.##....#..###.####.#.........#.##.......#.##....#..#.....#.....#..#.....#.##.#.........##........###........####....##...#.#...#..#..##.##......#.#.#.......#...............#...##....#....................###..#...........#..#...#.....#..........#..#.....#....#...#.#...#.......#.#..#...#...#.##...#..#.#.....#.......#....###.##.........##...#.....#.#......#...#..#............#...#.....#...#.......#......#...#...#.....#.#...#.#....##....#........##.....##......#..#...#..#....#.......#..##..........#.#.....#....#......#.#..#.......#..##.#........#.........#.....#....#...#.#........#.#.##.....##........#......#...#.#..#...#.....#..#.#.#.##.####...#...###..................#.....#.....#..#...#..#...#.#......##.#...#....#.###.#....................#.#.#....#.....#...##...##...#....##.#...#.........##.........#...........#...#...........#........#........#.#............
.##.#..###.#.....#..#....#.#....#.....#........##..#..#.#..#..........##...#..#.#......##....##.....#.#..#....##.....###.....#..#....#..#.#..#......##......####......#.#....#...#..#...........#..#.....##.........####..................##.##...#...#..#...#.....#.....##.......##..#....#.........#...#.#.###....#................#...#.##.#..#.##.....##....#..#........#....#...#..........#.....#...#......##.#............###.....#.##...##......###...#.#..#...............#....##.#........###........#...##....#......#...#..#.###.........##.#.............#...#.....#..##........#....#......###.###.#......#..#..#..#.#..#...#......#.#...................##.#....#.....##.#....###..........#......##....#..#.#.....#..#..#.......##.....#....##...#........##..#..........#...#..##.##.......#......#...........###....#....#...#......#...#.#.........#.#.#..###.......#........#..#..#.##....#.#..#..#.#.....##.#..#..##...##.#...#.#..##....##........#.#.....#..###...#..........#....#.....#....#...#........#.##
........#...........#......#....#.#.#.#..#.....#...#...##..............#..####...#..#..##....#......#.#..#..#.##.#..........##.##....#..##....#..#...#......##.#........##....#.....#..#........#.......#####.......#..#.......###........###.#...##........##.....##.#.........#.##..#....#......#......###.#......#....#...#..#.....#...#.#....#..#....##..#..##.#...#........##..............#.....#......#...#....#....#...#.#.#.......##..###..#...#.....##.............#..........#..#..#.....##..#..#..##.#...#......#..##...#....##.....#....#........#.#.......#..#..#.#..##........#....#.#........#.#.#...#.....#..#...#..#...##...................#.....#..#..#..........##.#........#.#......##......#....#............#...###.....#.......##.#....#....#....##..#.....#.#.......#.#.#.#.##....#........#...............##....##..#...##.#...###......#....#.#.#....#.....#.#.#....#..#.##..####...#..#..#..#...#######....##..#..#..#..#..#....###................#....#..............##...##.##.#........#........#.##
##.....#...#........#...........#.#....#.#.....#......###..#..............##........#..##....#....#.#.#..#.###.#.#...###....##.##....#...##.#.##.#.#.........###......##.#.......#...........#.....#....#.###..........#.......###...........##..###.......##...#..##.........#.#..#..#....#..................##.#..#...........#...##.#.#..#......##...#..#.#..#..#...#........#.#..##........#.#.#......#..#.#..#.#.##.......#.###.......#........#...#.......#.#....#.....#.....#.....###..#........##........#..#....#..#......#.....#.#.........##.......#.#.........##..#.#.........#.......#.#....##.......#.....#.#......###..#..#.......#.#..........#.....#..##......#..#..#..#......#..........##.....#....#...#.#.......##.##.#.....##.....#....#....#...#....##..#...#....#...#................##.....#...#.......#.#...##....##.........##....#.......#.#.#.#.......#..#.............#....#####......#..####...#.##..#.....#..##....#.....#....###...#..#.#.#.........#....#..........#..#..#..#......#....#.........##
#.#....#.#..........#....#..........#..#.#.##..##..#...##......#......#..##.....##..#..#..#####...#..........#.#.#...#......##.##....#..#.#.#.#.............#..#......#.##...##.....#..#................##.#........#..#.........#........###.#..###.....#.#.......##.##.#....#...#...#...#.......#..#...###..##.#...#...#...#.......#.#.#.#..#..#..#....##..#..##.....#....#...#.....#....#....#.........#..#......#..#...#...#.#.#.......##.###..#....#.#...#.#......#..........#..........#.............#..##...###...#..#......#......##......#...#.#.....#.##....#.#..#.##....##.....#.#.....#......#.#..#......#....#......#.#..#..##....#.........#.............#.......#......#.#........#.#.............#....##.............#....#.....##.....###..##..##............#...#.#..##..#.#..#.##...#.....#.....#.#.#...#....#.....#....##..#...##..#...##.............#....#...#.....#.#..........#.#..##.#....#..#.#....###.##....###..##....#..#..##...##.....#...#.......#.......#............#...#..........#.#..#.#.....#.#.
.##....#.#.#.............#...#..#.#...#.....#...#.......#......#.........##..#............##..#..........#...#...##...##....#...#.##....##...#.#.#.......#.#..##......#.......#..#.....#..............#.##..#.......#..#.........#.....#...####..##...#..#.#.#..#..#..#...#...........#...##......#......##..#.......#...#......#...#.....#.#......#....#.#..#...#...........#....#..##....#....#............#....#...##.........#...##..#..#....#.##....#....#...##..........#...#.....####.##.....#...#..#..#....................##....###....#.....#.#.....#.......#......#......#........#......#....#.#.##..................###.##..##.#....#.......#.....#..#..#...............##.#....##............#.....#....##..#.......#.#..###......##.....#.###.#..#....#.....#..........#.#...#.#..#.##.##....##.........#....................#..#...#..##..##........#.#.#...#.....#..#.....#.......#.#........#.#......##....#.###..#...##..##.#..#..#.......#.#....#...#.#........##................#....#.#.......#......#.....#...
##......##.#.............#............##...##..#...#....#..#...#......#.....#....#.#....#..##.#.....#.#....#.....#.....#....#...#..#.....#.#..##.#.###...#...###......##.....##.....#........#..#..#.....##...........#........##...........#.#..........#......#...#.....#.......#...#....#.........#.......#.#.........#...#......###..#.......#.##....#.#.#..##.#........#....#...##........#...#..#......#.#.##....#...#...#.#...#...#..#......#....................................####.#...#..#...#......#.#..##.#.#..#...#.....#..#........#...#.#.......#.......#.....#....#......#..#....#.#....#.#...#.##...........#..##...#..#..#......#..........##..#..#.#..#....#.....##.#....###.#.#.......#.....##...##..#............#.#......#......#..##.#...#.....#..........#.#.#..#.##.#..####.#....###...#.#...#.........#...##........#...#..#.................#.#.###..#.#.......#.........##.#.###...#..#....#.....##..##...#...........#...............##.#.#.......#..##...#............#...#..##..........##.#.....#..#
#.#.#..###.......#..#....#...#..#......#...#....#..##..#.................#.#.##.#..#...#...##.....#...#..#.##.#.......##....##....#..#..###.#..#....##.......###......#.##...#...#..#..#..............#...#.#..........#...............#..#.......##..##.#.###..#..##...........#..#......##.................##.....##...............#.#.#.#.....#......#.##....#...........##..##....#........###.........#...#.#.............#.##..#...#..#..#...##...#.....#...##...#.....##....#.......#..#....##.#.......##.#..#....#..#..#...##.#..#.#....#....#........#..#....#...##.##.#...#.....#.......#.#....#.#.##...#..#..#.#...#...##.##..#.....#.#................#..#..#.#....#......#.#.....##..................#.......#.......###..#.#.......#......####....#......#...#..#...#...##....#...#.###.##...........#.#.........#.#...#......#.......#.....#.#.........#.#...#.##...#.....#..............##.##.........####.......####...#...#.....#..#.........#...##.#.#.#.....#...#...............#..#.##...........#.##.#.......#.
..#.#.#..#.#........#......#......#...##...##...#..#...#...............#......#..#.##........#....#.#....#...........#.......#..#....#...##.##.#.#.#........####......#.##...##.....#........#..#.......##..#..........#.......###.....#..##......#......#..#...#..##.##.##...#...##..#....#......#..#........#.....##...#..........#..#.#.##.#.....#...##.#.#..##.....#..............#........#....#..........#.##...#........#.##..##.....#.#....#.....#.#......##.........#....#.......#...#....##..........#.#.###......#...#.....#..###....#....#..#.............#.#..#.#..#............#....#.#........#.#.#........##..#..........##.#....#.#..............#.#..........#......#......###...#.......#..............#.#.....#....####.....#......####..#.......#.#..##..#...#.#..#...#....##.##......###.....#...#........##...##....#.......##.................#...#..##....#.#.#........#..#.....###..#.......#..#...###.......###...#....#.....##....#.....#.....#.....#...#....#..........#..#..#....#......#..........#.##
###.#.#.#..#.....#.......#.#.#....#.#..#....#..#.......##..#...#.........###.##.#..#...##.#.......#.#.#..#.#.#.#..#..#.#.....#..#.##....##.#.##....###.....#.#.#.......###.......#..#..#.....#.............##.......##..........#......#......#..##....#.....#..#..##..#.#.........#......#................#.#...#...........#......#..#..##..#..#.#....####.#...#...........#..#.#..#.....#...#.#.#..#......#...##...#....#.....#...##....##.##...##....##.......##.........#....#......#.#.##....#....#..#..##...##....#.............#.##.......#...#.......#.........#.#...............#.........#.....##...#.#........#...#..##..##..........#.#..........#...#..#..#.#..........##.#....###.#.#.............##...#.....#.....#.##...#......##.....###.#....##...#.#..........#...##.#..#.#...##..#.....#......#.......#.....#.........#...#...##..#...##.........#.#.#..#....#....#.#.#....#..#.#...#.#....#.......##...#....###.......#..#..#..#...#...#.....##...#.#........#....#............#.#.#...#......#....#.#.....#.##
..#.#..##..#.............#.#.#..#.#........##..##......#...#...#......##.#..##..#..##...#..#..#.....#.#.....#..#..#....#....#..#..#..#.......#......##......#.#.......#..#...##.....#..#.....#........#.##..#.........#........#..........#......#.#..#..#...#.....##....##...............#.......#..#.......#...#.......#...#..#....###.#....#..#.......###.#...#.....#....##..#.#..##....#...#.#.##..........#....#.##.........##.............#..##.....##...#.......#.....#.....#....#....##..#...####..#.....#..##...#.....#.........##.......#..#....#...#..##..........#.....##.....#.......##.....###.###.....#........#..#.#.#...#..#..#.#.#................##.##.#....#..#..##.......#..#.#.............#..................##...##......#.....#.....#..##.....#..##......#.....#...#...#..#........#......#.#.#.......###...#.....#...#...##......#.......##.#...#.#..#.#...#...#......#....#....##....#.....#.#.....#.#.##...#...........#....#....##....#......#.....#...##...............#....#..#.#......#..........#...
##..#.#..#.......#..#......#...............#....#...#...#......#......#...##..#.#...#.....##.#........#....#...#.#...##......#.#..##....##.#.#.#.#.........#.###......#..#....#..#.....#.....#..#..#....##.##.......##..........##.....#...##......#.....#.#....#..##..#.##.....#.#........#.............#...###.....#...#...#..#......#.####.#.....#......#....#..#...#....#.....#..#.........###..#.....#......##.#.............##.#...#..#....#.##...#..#......#....#................#....#...#...##....#........##...#.........##.##.###.........##.#.....#..##...#.#.#..##....##.............###..........#..#..#....##.........##...#.#..#.#.......#.....#.....#..#......#..#...........#...........##......#...#.............##..##.......#.....#.#..#....#.....#......#.......##...#.....##...##.........#...#.#........#.....#....##..#...##.....##........#.#.....##.....#...#...#....#..........#...........###...#....#....#....##....##.....#...##....#..#.#.#..........#..#...........##.#.##..#.#....#...##.#.....#.##
#.#.#....#.......#..#......#.#..#...#.##....#..##..#..###..#..........#.......#..#.....##.##.##...#.#......#..##..#...#.....##..#.......#.##.#.#....##...#...###........#.....#..............#..#.....#.##................................#.#....#.#............#..##.#..##.......#...#...##.........#...###.##..#..#....#......#...#..#.###.....#..#...##...#..##.#........#...##....#....#...#.#.##........#.#.#....#....#.....#.#.#.....#....#..##.....#....##..#...#.....##....#.....##...#.....###.......#....#...#.#.........##.##...#......#.......#...#.##.........#.##.#............#....###........#.#..........#......#.#..#........#...#.....#.....#.....#.##.........#...#..........................##....#..........#....####......#.....#####....#.................#......#.#.#....#...#....#.....#...#.#.............#.....##..#....#.......#.......#.#.#..............#........#....##.##......#.....####...##.##.#.........#.#...#....#....###......#.#.#........##...#................#..........#...##.#.....#.#.
.#.....###.#........#....#...#...........#.#....#...#.#....#..........#....#..#.#......##.##.##...#.........###..#....#.....#..#..##.....####.##.....#...#.#####.................#..#........#..........##..........###........##......#.....##..#.#..#..#......#......#.##.....#.#...#...##.........#........##.....#.......#......####.###.....#..#....#.#.#..#...........##..#.#..#.........#.#..#.#...##.#.#.#..#......#...#.##..#...#.#............#..#..#.#.##..........#...##.....#....#..#....#.......#....##.......#......#......##....#....##...........#...#...#........#......#.#.....#.......##.###...........#..#......#.........#.#.#..............#.#...#.#....#......#......###...........#.....##...............###...#.#..............##.##..##...#.#..#.......#.#..##..##.#..#..#..#...###...#.........#....#....#......#......##..#....#......##...#...###...##.......#....#..#............#..#..###....#.###..#..#..........#..#..#.....#....##.#.#...........##...#..........##.#.##.##.#.........#.........##
..#.#.####.#.....#................#...#..#..#..#......###.............#..#.#.#...#..#.........#.....#.#.....##.#.#...##.....##.#...#....##..#.#..#.#.....#.###.#......#..#....#........#........#..#..#..###.....................#........###.#..##....#.#...#......#....##........#..#...##......#..#...#...###.....#.......#..#...##.#..###...........#.##.#..............##....#..##....#.......#..#...#....#..#.#.#..........##...........###..##.....##..###.##...#..........##....#.#...#..#.#..###..#..##...#........#.............##....#.#.....................#.##....#.........#.##....#.#.....#..#.#..#.....#.#...#..#...##..##.#..#...#..........##..#.##.#..#....#.....#..#........#.#..............#...#...#.#.......#...#.#.....##.....##.#.....#......#..##........#...#..##.......#.##....#......#.......#.....#.........##..#....#.##............#.#...#.#.#..#.#.......#....#....##...##....#......###...#..####...#.#.....#.....#..#.....##....#...#.#.............#............#.#.##.#.......#.#............##
.#.....#.#...............#...#..#.#...#.....#..##...#..........#.......#...###...#.##...#...#.....#...#..#..#.##..#..#.#..........##.#.....#...#.#...#...#...##..................#..#..#........#..#..#.#..#........##.#........##.....#...###.....#..##.#..#...#...#..#.#........#...#...........#......###.#.#.#..#....#...#..#.....#....#..#.....#.....##.....#.#...#..........#..#.....#....#..##.#...##.#.#....#......#.....#...##........##.......#..#...##.##...#......#...#.....##...........#.....#...#...#...#.#.........#..#...#.....#.#..#..#.#......##.......##..#.#..#......#.##......#....##...##.##..#........#..###......#.#......#.....#.....#..#.##.#..#.......#..##..........#.#..............#....#..#.#.....##.....##.....##.......#####....................#.#.#.#........##.........##...#.#...#...#.....#....#........#......##............#.#...#...##...........#.......#....#.....#..........#....####..#..##......#..##.#..#....#.#....#.#.#.#.........##...............#..............#.#..#.......#.#.
.##....##..#...............#.#......#..#...#...#...##.###..#...........#.#.#.#..#...#..#...#.#....#...#.....####......##....##..#.##.#....##.###.....#...#..#..#......##.........#.......................##.#.........##.......#.......#...##.#..#.#...#...###..#.............#.#.##..#...##..............##.....#..##..........#...##.....#.............##..#.....#...#.............#.........#.#.##.#....#.#.........#.......#.#.#..#.........#...#...#.##..#...##...#......#...#......#.#..#....#####......#....#.#.#.#.....##..#..#..##.......#.......#......#....#.#....................#.....#..........##.#...#..#.....#....#.............#............##..#.#.....#.............#....###.#.#.......#.....##...#...#.........##.#.##.....##.........#....#.........#...#...#...#.#....##..#.#..##...#.#.....#...#...#...###....#.....#...............#.......#............##..#...#.........#....#.##..#....#...#......###...#..#.#...#.....#....##...###....#...#...........##...#...............#..#.......#....#.........#.
#.....####.#.............#.#......#....#.......##..#...##..............#..####..#..##..##.#####.....#.#....##..#.##...#.....##..#..#....##..#....#...#...#..###.......#.##...##....................#..#.##.##.........##...............#..#####..#.#..#....##..........#..#.....#.#...#....#.........#.....#.##..#..#....#............##.##...#....##.....#..#..#..#........#....#...#.....#...##..##.....#..#....#...............##.#.........###......#.##....#......#.....#............#..#......#.#............#.....#..#.......#....##.....#.#..#..#.#...#.###...#.#.##..#..............................#.#.#...#..#..#......#.........#....#.#..........##.....#....#...........#......#.....#......##.....#....#...#.#.......#..####............##.#.#...#.........#...#...#.#...#..#....###.#.#......#...#.#...#...#...###...#.....##......#...#..#.#......##.........#..##......#...............####...#..#..####....##...##.......##....#.....#....#.#......#............###..............#........#......#.#.#........#.##
#...#...#..#........#......#....#...#..#.......##..##..........#.......#..#..##.##.##...#..#..#.......#..#..#.##.##..###.....#.#.....#..####.....#..#....#.#..#.......#..#.......#..#..#........#..#..#.##.#........#..#.......###.........##.....#...##.#.#.#......#.#..#....#.#..#......#.......#......###..#..#..#....#..........#.#...##.....#......#.#..#..#..#...#........#....#..............#.....##.#.#..#........#.....#.#.#........#.........#..#..###.##...#.....#....#.....###......#.##..##..#..##.#.###.#........#...#..#..##.........##.#.....#..##...#.#.#.........#........#....#......#.#.#.#.##.......##..#..#.#.##..........#.......#.....#.....#.##.#....#........#....#............#......##...#...#.#.....##......#.....#........#.###..#....#.#..#.......#...#..#..##..#......#....#....#.....#.......#.#...#.....................##......##.#.#.#......#.......#......#........#..#.#....#..###....###.##.#........#.#..##....##....#....#..#.........#....#...#...........#.#.#.....#....#.#..#...........
##..#....#.......#.......#.#.#..#...#.......#......##.#.#..#.............#..#.#.##..#..#..#.#.......#......#.#...##...#..............#..########.#.###...#.#####.............#......#........#..#..........#...................#.......#...#.#...#....#.....##..#..##.....#.....#.##......#..........#...###..#..............#........#..#..#.#.....#...##.#.......#...#.....#...##...#........#...##............##...#....#...#..##..#.....#...#..##....###...#.............#....#.....###...#................#....#..#....#..#...#..##...#......#...#.........##....#.#.##.#......#.....#.##.....##.....#...##.....#..#.##......##......#.#..#...#.....#....#...#.......#..........##.#.....#....#......##..........##...........##..####......#.....##...##..##...#....#...#...#......#.#.....###.......###...#.#.#.#...#...#.#....#.....#..#.......#................#.#.#.#....#.#.#...#.......#.....#....#.........#.....###..##...##.....#..#.....#....###....#...................#...........##......##.#....#.#....#.....#.##
.##.#.##.#.#........#....#.#....#......#...#...##.....#........#.......#...#.#...#..#..#..#.......#.#.#....##.#..#.....#.......##........###.##..#..##.....#..#........###....#........#.................##.#........#.........#............###...#....#.#...#.....##.#..##.....#..#..#...##......#......#.....#.....#.......#......###.......#..#......#..#.....#...........#..#....#.........#...#......#..#....#............#.##..##.....#.###..##...#..#..#...#..........#....##..........#..#.#.......#..#....#.#.#....#..##..#...#.#.#..................#..##...#...##..............#.#.....#.#....#...##..##.....#.#......#.#........#..#.........#........#..#.##.............#.#....###.................#........#.#.....####...##......#.....####..........#........#...#.#..##..#..#.#..........#.....#...#.#........#.....#....#...#...#..##..............#...#.##....##.#.....#....#..#.##...###...#..#...#.#...##..#..#....#.....#...............#....#...............#....#...........#.#.#..#..#........#..#........#
###.#...#........#..#....#.#.#..#...#.......#.........##...#...#......#..##.##...#.#...##..#........#......##.#..##..##.........#.#.....#.##..#....#........####.......##.....#..............#..#..#..#..###...........#.......#.#.........#.##....#.....#...#.....#......#.....#.##..#....#.............#.#.###.#..............#.....#..#.##....#.#....#....#...#.#.........#..###...#.........##..#.....##.#.#.##...#....#...#.###.....#.#..#.##.##...##.....##............##...#.....#..#..#..#.######......#...##..#.#.....#....#.##..........#..#....#...#...#.............#...#.......#......#.....#.#.........#.....#......#.......#.#..#...#.....#.....#....#..##......#..#..........#............#.......#....#...........##....##............######....#...#....##......#.#..#...#......##..##...##........#.#.......#.#...#......#......##.#....##......##...#.....##.#.#...#........#....##.#####.#....#....##...##....#.....#...#....##..........#.....#.#.#.......#..###...#..........#.....#.##......#...#..........#.
#.#.#.#.##..........#......#......#.#..#.#.#...#......#.#..#...........#.##...#.#......##...#.....#...#..#.##........#.#.....#.##..#.#...#..##.#.#.......#.##..#......#.......#..#...........#.....#..#...#.#........#..........#.........#####..###.....#......................#.#.......##.........#...#...###.............#..#...##....###.#..#.#....##.#....#..#...#.....#.............#...###.#.........#...##.#..#.........###..#..#.##.#.##......#.........#..........#...........#...##......#.....#.....#.###.#.......#...#.....###..........#.#.#.....#.#...#....#.#..#..##.......#......#.....##..###.#...#..#.##.....##......##....................#....##....#...........#.#....#.#...#......##.....##....#..#.......##....#.......##.....#.#.#....#....#.#..#...#.....#....#.#.##.#.###.#.....#....#...#.....#...##...........#......##..#...##......#..#...#.###....#............#..#.#..##.##...#......###.......#.#...##......#.....#..#...........#...#..........#....#............#................#....#.......##
....#.#.##.#........#....#...#....#............##...#.##...............#.#..#.#.##.#...#..##..#.....#.#..#..#.##.##...##....#......#.#..##.##.##.........#....##........##...#...#..#........#............##........#..#........##........####...#....#..#.#.#..#.............#....#..............#......##..#......##...#..........####.###.......##.....##.#..#..#........#....#.............##..#.......#.....#..#..#...#...#..#..##.....#.#....##.........###.##.........#..........#..#..#....#.#..#..#...#...###...#..#...#..#............#....#....#.....#.#.....#....##.....#.......##.....#.....###.#.#.#......#.#........#...........#...#.....#................#..........#.......##....#.............#..........#.......#..#..#............#.##......#...#.................###.#.#..#####.#......#.....#.#.#...#...#.#..........#.......#..#....#.......#.#.#......#...#............#..#.##..####.#.#.....#.##....#...##....#...#..#..##.#..#.....#....#..#...#..............#................#.........#.#.##.#.........
#...#......................#......#...#............#..#.#......#......#...#.....##..#..##..##.#.......#....#..#..#...##...........#..#..#.#####..#.##....#..##.#......####....#........#................#...........####..................#.......#...#....#........#..#.##.......##.......#...............#.....#.......#......#...#....###..#.....#...#.......##..........#........##..........#..#......#.#...##...##...#.....#...##..#.#..####.......#....###..#...#......#....#....##.#.......##.#.#......#.#.#.#.#....#..#......##...#....#.#.....#.#.....#.......#....#.....#......#..#.....##.....#..#.#..#..#....#......#...##...#......#.......#....##..#.##.##.#..........##........#.#...............#....#...#.......##.#..###..............#......##...#....##..#.......#.#..#.#..##.##.##...#...........#...#...#.#.........#...#...##..#..##.......##...#...#..#.#.#.#...#.#....#..#.#........#.#.....##.#....##.#.#...###..##.#..##.....#...#.#..........#..........#...............#....#.#..#....#.#.##...........
##....##...................#....#.....#..#.........##..#.......#......#..##.##..#..#...##.#..##...#..........#.#.##..#......#......#....#.#.#.#..#.###...#..##........#......#......#..#........#..#..#...#.#..........#........##........##.#.....#..#..#..#...#.........#...#.#..#.......#......#..#....#..###....#........#..#....##..##.#.#.....#......#.....#..........#....#...##....#...###.#..#...##......#...#....#.....##...#....#...##..##....###..#.#.##.........##....#.....###.#......#####........#..##.#....#......#...#..##....#.....#.#........#......#.......#...#.......##...........#.#...#.#...#....##..#..###.#....#.#....#................#..#............#..##.#.....##.#.#......#......#....##....#.....#....#.#......##.......##.##..#.........#...#.......#....##.........#....###.....#...#........#....#.....##.............#.#.............#.#.#..###.#.#........#..#.##.###...#.#..#...#.#...##.#..##.............##.#..#....#..........#.#........#....##...........#.#.....#.#......#..#.#........#
##..#..##........#..#......#....#.#......#..#......##.##...#...#......##.####....#.#....#.##.##.....#........#...##..#.#........#.##......#.#....#.##......##..#.......##....##.....#..............#..#.##..#........###.......###.....#..##.##.......#.........#..##....#.........#..#...##.............###...#.#..............#...##.#..##..#..#.#....####.......#...#........#.#...#....#....#..#......##...#..#...#....#...#..##..#........#..........##..#.#.#....#......#...#......##..##..#..###.#.....#..#.##.......#...#..#..#..#.#....#.....#.#.#.....#.#.....#.#...#.#...........#.....###....#.#.#....#.......#.......##.....#..#............#....##..#.......#....#......#........#.#.#......##......#.........#......##..#.#.......#.......##.#...#.........##...........###..##..###.#.......#....#.#.#.........#.#....#....#.......#...#..##............#.#.#....#.......#......#..#.#..##..#......#..###.....#.####...#.#..#.....#..#..##...##.................#....#...#..........#.....#.........#................
.##.#.#....#.....#..#....#.#.#..#.#.#....#.#...##.......#................##.###.##..#..#..#.##....#...#..#..##....#....#....##.#..............#....#.#...#..####......#..#...##..#...........#..........###.#.......#.#........##......#....###..#.#..#..#..#...#..#..##.##.....#.#...#...#...............##..##.....#.......#.......#.#..#.#......##....###................#...#.#..#.....#....##.#......#......##.#..#...#.....##...#.......##.#..#.....#....#..#....#......#....#....##.......#..##.##..#...#...#.#...#.....#....#....###......#..##.#.....#..##........#.#..#..#......#.........#.....##.....##..#..#.#......##...#........#.#..................#..##......#..#..........##....#.............##....#............##....#.............##..#...#....#....#...#...#.#.##...#......###........#.....#...#........#..................#..#.............#.#...#..#.#.#...#...#......#.....#.####....#..#..#...........#.#...#...#......#....##.........#....#..........##...............#..#.......#......#.#..#.......#.
##..#.#.##.#.....#..#....#.#....#.#.#....#.....#....#.##...#...#......#..#..#...#...#..##.####......#.#..#.#..#..#...#......##....##.....##..###.#.###...#..#.##......####....#........#........#..#....#............###.........#.....#..#.##....##..#..#.#.#..#.....##.##...#....#..#..............#...#.#.##.....#....#......#...#....#..........#...####.....#.#........##...##...#............#..#....#..........##...#.......#...........###......####..###.##..........#...#......#.#.##..#.###.##..#...#.#...#...#.....#...##.#...#.....#.#..##.#.....#..##.......##.#..#..#......#.##.....#..........#..##.......##.....#.#.##..#.....#..................#.##.........#.....##..........................#....#.....#......##..................#.##.....#.........#.......#....###.#....#..##..#....##.....#.#.....#..........#.............#..#..###......#....#.#...#..#...#.#.#.#............#.#.#.#........#.....###.##.#....#...#.......#..#.....#.......#.........#...##...............#...##....#.........#.#........#
.##.#..#.#.#.....#..#.................#.............#......#...#......#..#.#.##..#.....##.#..##.............#.##.##..........#.#.....#..##..####.#.#.....#..#..........#......#.....#...........#..#..#.#.##..........#........##......#.....##........#.#..........#.##.#........##.................#...###..#.....#...........#.....##..#........##.....##....##.#.........#..##...#.....#....#..........#.#.#.##...##.........##..##....##.#....##...##.#..#.#.#...........#...##....#.##..#....#.##.#......#...##..#.#..#...#..#.....#......#................##...#.#.#..#......#..............#.....#.#.#.#........#.#...#......#.........#.#.#...........#..#.##.##.#....#..#..#...........#........##.....##...##....#.....#.##.###.............#.....#..#......#..##......#....#.....#.....#..#....#.........#.#........#...........#......##..#...........##.#.#....#....#..#.#........#..#.##.#..#..#.#......#.#....##.##.#..#....##.#.....#........##....#.#.#.#.....#...#...#..............#............#............#.##
###.#......#.....#.........#.#..#...#..........#......##...#...#......#..##..#...#........#.#.#...#.#.#....#..##.##...#.....#..##..#....#..##..#.#..#..........#......#..#...#...#..............#..#....###..........#..........##........###.#...##...#.#.##...#...#.##.##.......#........#......#..#.........#.#..#........#........#..####......#.......#.#..##.#...#....##.............#........#.#...##...#.##.#.##.......#..##.#...#.#...##...#...#.......#.##...#......#...#.....#.##..#..#.#....#..#..##.#.#.#.#.......#......#...#.....#.#.......#...#.#.#...#...#.....#..##.......#.....###........##......#..#..#......#..##........#.#............#......#.#..#....#.....#.........#.#........##..........#...#.......###..#.........#...........#..#....#.#..##........#......#.....#.##.##...#.#.............#.....#...##.....#......##..#...##......#......#.#.##..##.#.#.#.#....#....##..##.....#..#..#.##...#.#...##..##...#........#..##..........#.#.#..........#.#..............##.#.#.....#....#.#.#........#..#
.#....#..#.#.............#......#.#........#....#..#...##..#...#.......#.....##..#.##..##....#....#.#.#..#.#..#......###....#..##..#....####..##.#..##.....###.#.......###....#..#.....#........#..#....#.#.#........##........##......#...#.....#....#..#.#.#..#......#.##.......##..#...#..........#....#....#....#........#..#....##....##....#..#...##......##.#...#....##...#...##....#...#....#.#....#.#...#..#..#...#.....#.#..#..#.##......#....##....#...#....#.....##...##....#....#......#.##...#..##...#.#...#......#..#..#...........#..##...#......#......#..#.##....#......#................#.#....#..#..#.#.......#..#....#.#............#.....#..#....#..#..........#..#.........................#...##..#.......####.##........#........##.#.......#.#..#.......#...#.##...##..#.#...#....#......#...#.............##....#.......##.......#......##.....#.......##.#.#.#...........##.#.###......#..##.#...#.######..#.#..#..#..##...............#............#....#...#..........##....#....#.........#.......#...
.......#............#......#....#...#....#.##..#....#......#..........#..#..#.#..#.##...#..####...#........#.##...#...#.....#.....#..#....#.##.#.........#..####......#.#....##........#........#..#.....#..........#...........#.........#.###..#.........###..#..##..#.##...#.#.#...#....#......#..#........##....#...........#....#......#.#..#.##...###..#..##..........#...##...#.....#.....#..#.#...#..#.#.#.............#..#..##..#....#....#....#.##...#..##...#.....##...#.......##..#....###.##..#...#.#...#...#..#..#....#.#..#...........#....#......#........##.#..#...#.......#.....##.........##.........#.#.......#..#...##....#...#................#.....#.......#.....#.................##.....#........#.......##...#..#............#.##.##...#...#....#.......#.#...#...###...##..#.....##...#.........#...#...........#...#....#.......#.......#.#......##......#.............#..#.###...#.......#..#...#.#.##.#..#.#.........#....##...###....#.#.........#..###..##..........##...##.##........#....#.....#...
..#...##.#.#.............#.#.#....#.#.##.......##..#..................#..##...#..#..#..##.#...#.....#.........#...#..#.#.............#..####.#.#...###...#.#.##.......#..#...#...#..#...........#..#..#.#...........#..........#..........##..#..#.....#.#.#.#..#..#..##..#...#.#..#.................#...###...#.#..##.......#......#..#..#......#......###..#...#.#...#.....#..##...#...........................#..#.##..........#..##....##..#.#.##....##.....#.............#............#........#...#..#...........#.......##.........##....#.#...#...#...........#.#..#.#.....#......#..#.....##....##..##..##.......##..........#.....#....#.......#....##........#.#.......#..##.#.....##...#.............#....##....#......#.....##.....#.......###..#..##...#.#..##..#.....#.####.##.#..#.#..#....#.......#.#.#.......#.#...#.....#...#...#...#...##......##...#...#..#..##.#.#.#......#....##..#....#.#..#..##.#...####.#.....##...#.#...#.#..##....##....#.#.#.......#...#..................#..#.#.........#..#.......#...
#...#.#..#.#.............#......#.#...#..#..#...#..##.##...#..........##....###.#..#...#...####.....#....#.###....#..#...............#..##..#.#....#.......##............#..........#..#.....#..#.....#.#...#.......#..#........#..........##.#..#.#..#.....#......##.#..#........#...#...........#......###.........#...................#....#..#......###........#...#....##..#.#..##.........##..#.#..........#...............#.#.......##..#.#.#.....###..#....#.........#....##.........##..#.##.#....#..##.#..##.#.#..#......#.....#.#....#....##.#.....#...#...#.......#.....#........#.....##........##..##.......#......##...#..#.....#.#.#.....#........#.#..##.#....#..#..##.#....##..#.#.............#....#.....#......##..#.#......##.....##.#.##.......#................#..#.##......#..#..........#...#.#..............#............##.#...#.#......##.....#.###..###...............#..#...#...#....#...#.#...##.####.........#.......#..#.....##..........#.........#....#..........##.#.##.#.......#.#..#.......#..#
##......#...........#...........#.#.#....#.##..#....#..#..............#..##.#.#.#...#..##.##..#.......#..#...#....#.........##.......#..##.###......##...#.#.###......###....##.....#........#..#........#.............#.......##...........##....#.........##..#..##....##.....#.#.......##.........#....##.#.#.#..................##...#.......#.#....#.#.....#......#.....#....#...#....#...#...#.........#.#..#...#....#.....#.#.#.........##..##.........#...#....#.....#.....#....#........#..##...........#.......#..#..#....#....#........#..##.......#.###.....#..#..#....##.....#.##....#.#........###.#........#...#..#.#..#..#.....#...#...........#....##....#....#..#..#........##..........#.......#...#.....#......#.#..###.............##...#...#...#.#..#.......#.#......#.##.#.##..##....##.......#.#...#....##...#.............##.##....#......##.#.#.#..#.......#...#......#....##.##.##.#.#......#.....###.........#..#.....#..#...#....##....#.#...#........#....#...........#..#.......#........#..........#.
##....#..#.#.....#.......#......#......#.#......#.....###..#..........#......##..#..#......#........#.#....###...##....#....#..##....#.....##.#....###...#..#..#.......##....#...#.....#........#..#..#..###........#......................#.....###.....#...#..#..##.#...#...#.#..#..#...##......#......#....##.#..##...#...#......##...##......#..#....###....#..#...#.....#..#.#..##....#...#...##.#....#...#..#........#.......#.#...#.#..#.##..#....##...###..#.....................##..##..#.#..#........#.#.#........#...#...#...........#.......#.....#.#.#...#.#.#..#......#.....#.#.....#.#.....#..#.#.....#.....#..#....#.#....#..............#.....#....#..#..........#..#.......##..#.#......##..........##..#.#.....##...##.#......#......#.#.#...##.....#...#...........###.##.#............##..............#...#.#....#........#...#......##.......#......#.#....#..............#..#.#..##..#.#..............#...#.#...#.....#....#..........#.....#..#............##...#.................#.##..........##.#.......#.
..#.#.###..#........#........#....#.#..#...##......#..###.............#..#.#.#..##..#...#...........#.......#........#.#.....#....#..#...##.##.#...###.....##.##........#.....#..............#........#..#.##.........##.......#.#.........#..#...##.....#.###..#..##..#.##...#...#...#....#......#......##..##..#..............#...####.#....#....##.....#......#.#.........#..###..#.....#...#.#.##.....##...#.##............#.#...##....##......##.....#....##..#..........#.........###...#....##......#..##.....#.........##...#..#........#.#..##.#.........#...#...##....#...........##....##.......#.###.##..#.....#..#...#......#.......#.......#.....#..#.......#....#.....#.......#...#.#......#......#........#........#.#....#.....##.....#######..#....#.#..##..#...#...#.#..###..##..#.##...........#.#...........#....#................#...##...........#....##..##........#.......#.##.#..#..#.#..#..####..........#..#....##.......#..#....##....##...#.#.............#...........##.#.##.##......#.#..........#.#.
#.#.#.#.#..#.....#..#....#......#...#.#..#.#........#.##.................###.#..#...#...#...#.....#.#....#..##.#.#...#.#.....#.......#...##.###..#..##...#.##.##......####.............#................#.............##.........#.....#..#...#..###..##...#.#........##.#....#.#.##..#...........#..#...###.....#...#...#...#..#...#.#...#.#......#.....##..#...#...........#....#...#.........#.........#..#.#..#........#...#.##...#.......####.##....###.......#...#......#.........##.#..#..#...#.....#.....#..##......#..##..#...#..##....#....##.........##......#.#.....#..#......#..#.....##....#....##.##.....#..#..#..#.#.....##.#..#..............##....##.#..#...................#...........#.......#....#...........#.#.##.#............#...##........#.#............#......####.#.#.#..#...#.#...#.#.#.....#...#...........##......#......###.......#.....#...##.##..#.#...#.........#...#.##......#...#.#....#.#..#...###..##....##....#....#.#...#......#..........#...#..........##.#..#.#..#........##.........##
###....#...................#.#..#...#.##.#.....#...##...#..#...#...........####.....#..##.#####...#...#....#..#..#....#.....#..##.#.....######...........#.#.#.#......#.#....##..#..#..#........#..#..#.....#.......####.........#.....#..#####.......#..#.#....#......#.#....#............#......#......##....#....#........#..#.........#...#..#.##...#........#..........#.....#............#.#..#.#...##......#.#..............#.......#....##......#..#....#.##..........#...#.....#.....#....#.#.##..#..##.#..##.#.#.....##...#..#...#.........#........#...#...#...#...#.#..##.......##.............#...#.....#........#...#.........#....#.......#....##..#.#..##..................................#................#..........##.#.....##..............#....#....##..#...#...#..#.#..#..###..#....###...#.#...#...#....##...#......#......##.##..#.#......##.....#..#....##.#...#.#....#....##.##..#......#...#.....####..#...###...#.#..##.#..##.........##.#.........#..###..##.............#..#.##......#.#.#..#.....#.#.
.##...#....#.....#..#....#...#....#.#..#.......#....#..#...#...#..........####...#..#...#....#....#.#.#..#..#.#......#......##..#.##.....#####...#..#.......###.......##.#...##..#..#..#.....#...........##.#.......#.##.......##......#..##.#...##....#...###..#..#.....##...#.#.#...#...#.......#..#...##..#.......#..........#...#.##..#...............#..#..#..#...#.........#.........#....#..#.......#...#.#..#..........#.##...........##...#....##.#..#...##..............##....##.#..#....##.#............#.....#..#..#.........###....#.#.......#.....###...#....#.#.....#.........#....#.#.....##..#..##..#.....#..#...##.....##.#..#.#.#..........##..#.##.........#.....##.#......#.#........##......#.........#.....##.#.##.#.....#......#.#####.......#.#..#...#...#.#.#.##..##....#.........#....#.#...#...#...###.........##..........#..............#.#....###.....#...#...........#...#.........#..#..#......##.....###..#.....##.........#............#.........#................#...#..........#..............##
###.#.#.##.................#....#.#...##.#.#...#....#..#...#..........#..####.#.##.....##.##..........#..#.##.....#...##....##.##.##.#..###....#...#.....#.##.........#..#....#..#...........#.....#....##.#........#..#...............#...###...##........###..#...#.##..#.......##.......#......#......###........##...#...#.........#..##.....#.##...###..#..................###...................#...##...........#.................#.##.#....##.....#.....#.##..........#....#.......#.....#.##.##......##...###.........##..##....###....#.#...#.......#.###...#...##..#.#..#......#.......##.....###.#.#..#.......#...#...##.#...#..#............#....##..#..#....#.......#...#.#....#.....#..............#...#...#.......##...####......#.....#.##.##.............#..#.....#.####..#.#.#...........#......#.......#....##...#......#.........#...##........#.....#.......#................#..#..####...#.....#.#....###.......#..........##.....#...##....#...............#.#..##..........#....##.........#.#..#.#........#
....#...##.......#..................#.##.#.#...#...##.##...#...#.........##.#.#....#...##..##...............#.##.....#.#....#......#.#....#.#......#.#...#.#####......#.......#..#..#..#................###...........#..........#.........##.#..###.....#............##.#......#.##..#...##......#..#...##..###.#...#...#...#..#....#.#..##.......#......#.....#..#...#..........#...#....#...##..##........#...#..#.##...#...#.#.#.......#...##..##...#.##..#.#..#.........##....#.....##......#.######........#..##...#..#...#...#.....#.............#.....#.###...#....#..#.#.................#.......#..###.##...........#....#.....#..#..#.#.#.....#........#.#...#.#.......#..##.#......#.#....................##..#.............#.#.................##..##...#.#..#.......#......#.###....##..##...#.........#.#........#....##....##.......#.##....#......#..#.#.#.####...#.#.#.#......#.....#..##...#....#....#....###...#....#...#........#.......#.#...##.#.#.......#..#....##..........##.#.....#......#.#.#..#........#
##......##.#.....#..#....#.#....#.....#..#.##..#....#.#....#...#......#...#..#..##..#...#.###.#...#.#......###...#...#......##....##.#...#..#..#....##...#.#..#..............##.....#...................##..........#.#........#.#.....#.....#...#.#..#....#....#..#...#..#........#.......#.........#.......#.#.#...#...#......#...####.##.#............#.......#...........#..##...##........##..#.......#...#.##.#.##..........#...#....#....##.......#.#..###.##.........##..........#...#...#..#......#...#.....#...#..#......##.##...#......#..##.#.......##....#......##.#..#...............##....###.##.........#..#......#......##......#.#.....#........#..#..#.#....#.....#.............#.......#......#...##..#.......#..#.#.##.....##......###..#...#...#.#..#...#.....#...#..#.#..##.#...#...#.#.....#.......#....##....#....#...#......##..###......#......#......#.....#...#.......#.#...#....#.......####........###..#.#..#........#.............##.#.#.#.....#..#.#...................##..#.#....#....#.......#.##
#.#...##.#.#.....#.......#..........#....#..#......##.#....#.............##.#.......#..##.#.#.......#.#..#.###.#.#....##.....#..#.##.#..####...#.#...#...#..#.#........#.#.......#..#...........#.....#...#.........####...............#.........#.#...#.#.#....#...#.##......#...##..#....#......#.......##..#.....##...#......#........##.#.#..#.##....#...#.........#....#....##..............#.##.#....#.#.#....#.##...#...#.##..##..........#........##..#...#....#..........#.....##.#.##....##.#.#.....#..#..##.#.#..#...#...#.##........#.#..##.#.#...#.#..........#.##.............#......##.....##.#.#.#.........#.....#.......#..#..#..............##..#.##.#..............#.......#..#.#.......#..........##...........##...#.#......#.....######...##...#.#......#...#.#.#.#..###..#####.......#......#.#..........##....#.....#.......#.....#.........#...#...##.#.###.#.#...#.......#.......##......#..####.....#.#.#...##....#....#.....##...#.#................#....#...#..........##...#..........#.#.##.#.........
#...#............#.......#.#....#...#..#.#..#..#...##.#....#...........#.#.###..##.##.....#.#.#.....#.#..#....#..#...#.#....##.##..#.....####.#..#.###.....#####.......#.#...##..#..#..#........#..#.......#...........#.......###.....#..........##..##.#.#....#..#..#..##...#...#...#...#...............##..##.#..##...............###...##.#....##....#......##.....#....#....#...#.....#....#..##.#....#.#......#..#..........##.#.....#..##....#...##.#...##.#................#....#....##....#.#.##..#........#..........##...#.#..#......#.#.......#...#...#.....#.##.......#......#.#......##....#...###.##.....#.##.....#.#......#.#......#..........##..#.#.....#.......#..#..#.....#....#.......#.....##.........#.....##...##.#.....##......###.....#......#..#...#.....#.#....#.#.....#........##...#.............##..........##..#....#......##.......#.....#.#.##.##....#.#.........#....#.#...#....#...##....####...#...#.........#............#...##.#.................#............#...##.##.#.........#.#.....#.#.
##....#.#..#.....#..#...........#.#.#....#.##..##.........................#..#..##..#.....##..#............#####..#...##........#........#..#....#.......#...###......##.#.............#.....#.....#..#..#.#........#..#........#......#...###...#.......#..##..#.....#...#.....#.....#...##......#......###.#.#.#..##...#...#........##.##.#.#..#.#....#....#.........#..........#........#...##...#......#..........#........#.#.#..#.....#....#......###...#.#.#....#.....##...#...........#..#.##.##...#.....#..##...#..........#.#...#.......#.....#.#...#..#....#...#..#.....#.........#...........#....#..##..#....#...#...##........#....#.#..............#..#.##...............#......#...#.............#....#............##..#.#......##......#..#.....#...#.#......#.....#..###..#.......#......#.......#.......#....##....#....#.......##..#...#..........#.....###....#.#.#...#..........#.#####...#.......#....###.#..#...#.........#..#...#...##.....#...#.#........###..#...........#..#..#.#.........#.#........#..#
.##.#.#..#..........#........#..#.....#..#.#...##...#.#.#..............#..#.###....##..#..#.#.#.....#.#....#..#..#...##.....#..#.....#...#..#..#....#....#...#.#......#.#....##..............#..#.......#...#........#.#.......###.....#..#.#.#..#....#......#.....##..#........#.##..#......................##......#.......#......#....####.............#..#..#......#.........#...##.........#.........##...#...........#.....###..#.....#.#.#..##....###..###.............#..........##...#.....#####..#..##.#.#.#......#......##....#......#.....#.#.....#...#.....#.#...#.....#.....#...............##.....#...#....##..#....#.....##....#.#.......#..........#...#.#....#..#...#......##....#......##......#....#..........##....#.#............#..####...#...#.#..#...#...#.#.#.##...#.....##.##....##.......#.#.......#.#...##........#...##..#..#.#.......#.....#.###..##..#.#.#.........#..#.#.#.....#..#..........#######..#.#........#..#..##...#.....##...........#...##..##..........##.#.#...#........#.##...........
#.#.#.####.#........#........#....#...#........##...#...#..#..........#..###..#..#.#...##.###.#...#...#..#..##.#..#...##.......##.#..#..###...##...##....#..####......#.##...##..#...........#..........#.###........#.........##..........#.##..#....#..#..#.......#.#...#.....#.#.......##......#..#.....#.#.#.#..##...#...#........#..#.##......#....##.#.....#.....#.............##........###..#......#...#.##...#....#..........#..#..#...#..............##.#...........#....#....#.##.##......#.....#..#..#.......#..#......##.##.#.#....#....#..#.....#.###...#.......#...........#..#....#.......##..##.....#..#.#........#..#.....#..#...#.....#........#.##.##......#.....##.#....##............#.....##...#............#.#...........#........#......#........#...#.....#.#..#....#...#.#.##...###...#.....#.......###...#.....##......#.......#.......#....#...#..#.......#.#......#.....#.#..##.#....#....#......#.#..#..###..#.....##.........#.....#....#.......#....#...#.............#..#...........#............#.
.##....#........................#...#.#....##..#....#.#................#...#.##............#..#..........#..##...##..#.#.....#.##....#.....#..##.#.###...#.##.##......###....##..#..#..#........#..#..#..#.##........#.#.......##......#....#.#..#.....#...###.....#..#..#....#.#..#......................##...#....#....#............#.....#......##...#.##.#.........#.....#..###..#.........#.#....#....#.#...#....##.........###..#..#.#...##..#.....###...##..#...#......#...#......##...#..#.#....#.....##...#.#...#.........##..#..##....#....#..#.....#.......#...##..#.#...#.......##......#....#.#.#...##..#..#.........#...#............#.....#....#...#..#....#....#.....##.#.....#..#.#.......#..........##..........##....#.#......#......##.###...#...#.#............#.##...#....#.###.##...###.......#..........#....#.....#.......#...#...##......#..........##..##.....#......#..#..#..#............#..#.......#.##..##...##...............#.#...#..#.........#..#....#............#.#.#...#.#....#...##.#.....#...
#.....#.#..#.....#.......#...#....#...#..#..#......##..##......#......#..##.#...#......#..#####...#.#.#....###....#..###....##..#.##.#..#.#.##.#.#.##....#.#...#......##.....##..#...........#..#..#..#..#.#....................##........#.#.#..###...#.#..##.....##.##.##.....#..#..#...........#..........#.#....#....#...#......###..#.##.......#.....##.#...#.....#....#...###..#.....#.....#.##........#......#.##..........##.##..........#.#.....#.#....#..#...#.....##....#....###............##.....##....##.#.#..#..##..#..#..............##...#.....###...#.#.##....#...#..............##.....#....#........#.#......###..#............#.....#.....#..#..#..#............##.#.................#......#........#.......#.#..#..#.....#......##.#.....#..........#......#.#.#..#..#......#..#....##....#.#...#...#...#.....##.....#..#...#..##...##.........#...#.####..#......#...........##..#....#.......#.#....##.....#..##...##.#.....#..#..........#....#..........##................#.#..#.........#.#..#.#.........
###...#.#........#.......#...#........#..#......#...#...#..#...............#..#.##..#...#...##......#......#..#..##..###....##..#..#.#.....####....###......#..........###...##..#.....#................#.#...........#........###........#.##...###..##.#...#..#...#.#..##...#....#..#....#......#......###.###.#.......#...#.......#.....#.....#.##...#....#...#.#.........#..#.#..#.........##..##.#......#...#..#..#...#...#..##.##....#..##.#.#....##....###.##...#......#...##.........##..#.###.............#.#...#......#..#..##..##....#.#.............##........#..##....#........##....##.....#.#......#..#.....#......#.........#..#...#..........##....##............#..#..#....#.............#.....#....#...........###..#..#.....##.....####..#..#......#..#.......#...###..#.##..####.#....##....#...#.....#....##.........##......#......##.......#..#.#.#........#...#........#....##..###..#.#............####.#.#..##......#...#....#....###...#....#.......#...#...#............#...##.##.#....#...#..#.....#.##
#.......#..#.....#.......#...#..#..........##..........#...#...........#.#..###............#.#....#.#......#...#.##..#.......#.##..#.....###........#....#.##.##......#..#...................#..#.....#....#...........#.......##..........#.##..#.#..##....#..........#.#....#...#.......##.............###..#.....#....#...#..#.....#...#...#....##...##...#...#.#...#.....#..#.#..##....#..........#....#.#....#.#.#....#...#.##...#....##..###..#...#..#..###.##...#.....##....#....####.#...#..###........#.#.............##.....#...##....#....#....#...........#.#.##.#.....##.......##....###....#.#.#.......#..#........#.#.##..##....#.#.#.....#.....#....#.....#....#..#..##.#..........#.......#.....#....#...#.#............#.............###.##...#....#.#...#..#...#.#...#....#...#....##...#.#...#.#...........##.....#................#...#..........#.#....##...##............#.......#.......#..#..##.....#####......#....#....##.#........##........#.#........#....##...............##..#.#....#....#.........##
.#..#..#.#..........#........#........#..#......#..#..##...#.............#.###...#.....#..#...#...#...#..#.....#.....##.....#..##.#..#.......###.....#.....##.#........#............#..#........#.........##.........###.......#.............##..#.#.....#.###.....#...#.#......#.................#..#...#.#.#...#..#...........#.....#..##.#......##...####.....#.....#....#...#.#..#................#...#....#......##...#.....#.......#....#..#.##......#..###..#...#.....#.....#....##.#.#...#.#.##.#.....##.....#.#.#.....##..#...#..##..........#.........##....#.......#.#..#......#..#....##..............#.....#.#......#.......#..#....#............#...#.#..##......#..#..#..#....#...#........##.....#....#...#.#.......##..#.#.............#.##..............##..#.......####....#....##........#.............#...##.....#....##......#..##...##......##.....#....#..#..#...#.#.........#..##.##...#.......##...#.#..##....#......#.........#...###...#....#.#.....#...#...##...........#......#..#....#....#.#.....#.#.
##....###..#........#....#...#..#..........##......##...#..#.............##...#.##......#.##.##.......#..#.##.##.......#.......##....#..#####....#.##.......#.##.......#......#..#...........#..#.....#.#..#........####........#...........###..#.#...#....#.......#.#...#.......##......#.......#......#.#..##.............#.......#.#.#..#.#..#.##...#..#....##.....#...................#...###.##........#.#.##.#.##...#.......#.##..#.....##...#...###...#.#.##...#.....#...........#.#..#.....#.#.#.....#....###.#.#..#..##..##....###....#.#...#.#.....#..#......#....#..#...#.......#.....###.....##..##........#.....#..##..##..#.....#.#................#.#..##.........#.....#....#.#.#...............#....#...#.#......###.#..#.....##......#.#..#..##.....#......#.....#....#..#.#.###.#..#.....#...#.....#.......##.....#....##.......#.##...........##.#.#.#.##...##....#........#..#.##.......#.......#..#...###..#....##..........#................#...........#..#....##..........##.#.#.....#....#.#..........#.##
##..#.#.#..#.....#.......#.#.#..#.#.#.#.....#..##..........#...#.......#.#..###.#...#..#...####...#.#.......#.#..##..#.........#.....#..##.....#.........#.....#.......#.#.......#...........#..........##.#........#.#........###..........#.#..#.#..##...##...#.....##.##...#.#.....#...#..........#...##......#..##.................#.##...#.........#....#..#..#...#.....#...#...#.....#.....#.#..#....#........#.#....#...#...#.#...#.##....#.##...##........#....#.....##....#.......#........####...#...#.#..#....#.....##.....##.#.#....#.#..##.#.....#.........#.##.#..#..##.....#.##....#.......##...#..#.....#.##.....###.##...#.#.................##.....#..#.#.............#....#.............#.....#.....#..#.#.....##.#..#.......##.....###..##...#...#....##......#....###.#..#.#.###........#.....#.#.#...#...#......#.....#..#...#......###......##.#.....##....#....#.#.#....#..#..#...##..#.#.....#.#.......#####..#....##.....#.........###........#.......#..##....#..........##...##.##.#....#.#..#.........#.
##..#..#.........#.......#...#........#..#.#...##...#...#................#.#..#....#....#.##..#...#.#......####...#..#.#....##.#.....#...##.###..#.###...#..##.#......#.......#........#.....#........#..#.##...................##..........#.........#..#...#......#..#.#....#............#...............#..#..#...#..........#....##..#.##.#.........###.....##...........#.......##....#...###....#...##......#...##..........##.##..#.##..###......#.........#...........#..........#...#.....###.#.......#.#..##.........#....#................##...#...#..#......#.....#.#...#.......#......##.....#......##.....#.##......#.......#....................#..#.##.##.#.......#..........###..........#...........##....#.....##....#.#............#...#....##...#.....#..#...#......#.#..#..###..#....##......#.#.....#...#...........#...#....#..#...##...........#...#.#......#...#......#..#.##..#.#..........###......#.#..#.......#.....#......#...##....##.....#..........#..#...........##.#.#.....#......#..#.#........#
#.#.#..##..#.....#..#........#..#.#....#.#.....#...##.#.#.............##.#....#....#....#...#.#...#.#.#..#..#..#.....##.....##.##.#..#..###.###..#..##......###........#............#...........#..#..#..####.......###................#..#.#.....##...#.#..##..#..##.#...#...#...##..............#..#....#....#....................##...####............##.....#......#........#.#..#.....#...#.#.##......#...#.##.#..#...#...#.###.##..#..#.##.#......#.##..#.#......#......#....#......#..#.........#...#..##.#.##..#.......#......##.###......#..#..#.#...#.###.......#..##....#......#..#......#......#..##.##.....#.#...#...#..##........#..............##....#..#..#..........#.........#.#.#......##..........#...#.#.....#....##.#.....#.......#...##..##.........#..#...#...#....#..#....#..##....##.......#.....#...#.#...#......#......#..#...##.......#..#.#...####..#..#.#.#.........#.##....##...#.......##...#####.##...##..#..#..##.#...#...#.#................#.......#...........##.#.....#........#..#.#........#
##..#..#.#..........#......#.#..#...#.#.....#..#....#..#.................#.##...#.......#.........#...#.......#...#....#....##.##..#.#...#..#.##....#....#..##.#..............#.....#........#.....#..#................#........##.....#..#.###..###..##.#..##.....##..#......#.#.#...#...#..............#.#...#.#..##................##.####.#..#.#.......#....##.#.............#....#....#...###.##..........#.......#...#.......#........#.##.#..#.........#.#.#....#......#...#.....#.....#..#..#.#....#..#....##....#.........#...#...#..................#.#.....#.#..#.#.....#......#........#......##.##..##..#..#.........#...#..##......#.......#....#...#.#...#.#....#.....##........#.................##...##..#.......#..#.#.#......#........#.##....#.....#..##..#...#.#.##.#.#..#.#####.#................#...#...#.....#.....##..#....#.#....#.......##.#...#....#..#..#.#...#....#........#.#.......#..####...###.#.##..#.#...#.......#..#....##....#..#.#.#.....#..##...##.............#..............#.##.#.....#...
###.#.##.#.#........#....#.#....#.....##.#.....##.....###..#...#......#..#...##..#..#...#.###.#.............##.#.......#....##..........#.#..#......##...#.#.#.#......##.....#.....................#.....#.#...........#........#......#....##....#......#..#......#..##......#....#.....................###..#..........#...#..#......#.###..#....#.....#.#....##.#...#....##..#.#..#.........##...#.#....#...#.#....#..........#.#.#........###..#....##........##..........#....#....#.##.#......##.##..#.....#..........#..##.....##........#.#..#....#...#..##.............#..#......#..#.....#.......#.##..##.....#..#.......#..#..#..#..................#.......#..........#..#.......#.....#.......#.....##.........#.....##...#.#......#......#.#.###...#...#....#.........#...#...###..###........#....#.#.#.....#...............#...#....#.#....##......#..#.....#.#....#.....#.#....#..#....###.#.#.#..#....##....####.##...##...#.#..............#....#..#...#.....#...................##.#.##.##........#..........#.##
###.#..###.#........#........#..#.#.#.#.............#.##...............#...#.##..#.....##.####........#....##.##.##....#........#........##...##...#.#.....#...........##....##.....#..#........#..#..#.##.##.......####.......###.........####..#....#..#.###.....##..#.#.........#......##.........#...#.#.#.#.....#...#...#..#...#.##..#......#.#....#.#..#..#..#........##..#....##....#...##..........#...#...........#.......#............#..##...#.....###..#..........#....#.....###.....#...#.##..#.....#.......#..#..#...#..#....#....#.#..##...........#.....#..#.##.#..##.......##....#.#.....#....#..#..#........#..###.#......#..#.#.#.....#.....#....##.#..#....#.....#................................#............#....##......#......#####.#.........#...#..#.......##...#.....#.....#.........#.#.#.........#......#....##..#...##..#..#.#.......#...#......#.##....#...........#.##...#.....#.....##.#....##.###.....#.....#...#.#........#...........#.........##..#...........##....#.#..#....#......#.......#.
.......#.#.#.....#.......#........#...#....##......#...................#.###..#.##..#...#.###.......#......#.###......#......#..#..#.#..#..#.#.....##....#.#..........##.#.......#...........#........#...##........##.#.......#.#........#####..###..##...........##..#.##...........#....#......#......##..##.....##..........#...#.#..##......#.#....#.#..#..##...........#..###...#.............#.#...#....#.#..#.............##........#.#.....#...#.....###............#.....#.....#.......#.##.#....#.....#.###...#......#...#.##.#......#.#..#........#.#.#.....#..#....#.........#.......#......##....#..........#...#..###.#...#..#.................#...#..#..#.#..........#..#....#.#.#.#.............#....##..#.......#.#...###.....##......#####...#....#.#...#..#.....#.###..###..#.##..#.....#....#.........#...###...#.............##..#...##......#.........##..###...#...........#.#....##.......#..#.#..........##.......#.....##.#...#....##...#..#..............#..##..........#.....#.#..#....#.#.##.#........#
#.#.#..##........#..#........#..#.#.#.#..#..#.........###......#......#...#...#....#...#..##.#......#.......##.#.##....#........#.##.#...#....#..#.#.#...#.###.........#.#.............#.....#..#.....#.#.#.#...................##........#......##...##.#.#.......##..#..#...#.#.#...#...#..........#.....#.#.#.#..##...#...#..#....##..##...#....##......#.......#...#....##..##.............###....#...##...#..#.#.##...#.....#.#.....#..#..#.#......###...###.............#...##..........#....#..#.#..........#.....#..#..##...#..#.###....#.#..#..#.#...#.#.....#...##....#..##.....#.#.....###............#...#....#.......#..##..##.#..#.#.#......................#.......#...#.#........#.#......#.......#.......#.............##......#.........####...#...#.#..##...............#.##.##.#..##....#....#.....#...#...##.....#....##..#...##.##..#...........#.#.#.####.....#...#......#....#..#.#.#..........##....#.##...#..##....#....##.#..#....###...##.#.#.......#..#.#..#...........#....##...........#..#..........#
.##.#.#..........#..#....#...#..#...#..#.#......#...#...#..............#..##.#.....##..##..#.............#...##..##.........##..#..#.#......#.##....#......#..........###...........#..#........#..#..#..##.#..........#.......#...........#..#...#...##.#......#...#.........#.#..#.......#......#......#...#......#........#.........#............#...#..#.#...#.....#....##....#..#..........##....#......#......#.#....#.....###..#.......#.##.......###...##.##...#......#..............##.......##......##.#.#.#.#.......#....#.#..#......#.#..#........#.#.....#.#....#..#..#.........#............##............#.....#....#.##..##....#.#.#.....#....##..#.#..##......#.....##........#...#.......#......#.......#.......#....#.##......#.....##.##.........#.#..........#.#..##..###....###..#...#.#...#.#.#.....#...#.#..........#......##..#..###.......#........#...#.#.#...#......#..#..#..##.#.#....#...#.#...####..#...#...........#.#...#.........##..............###..#................#..........#.#..#.........#.
.##.....#........#..#........#..#...#.#..#.##..##..#..###..#...#......#..#.#..#.#..##..##.###.#.....#....#........#...#........##.......#.#....#...###...#.....#......####...#...#.....#.....#......................#..........#.#........#...#..#.#...#...###.....##.#...#.....#.##.......#..............#......#...#...#...#.......##..##.#....#..#....###....##..............#.#...#........##..........#.#...##.#.#....#.....##......#.#...###.##...#..............#.....##.........#....##....#..###..#...#.#..#..#.#..#..##..##.##..##......#.....#.#...#...#...#...#.....#..##.............#.#........#............#........#.....#.........#.....#....#.....#..##.#....#..#..#.......##..#...............#.....#....#.....#.##.#........#......#.#.#....##...#.#..#...#...#.#...##.##...#..##.##....##.......#.#...#.........##....##..#...##.##..###......#......#.#....#.#.#.#..............#....#..#.#......#......#.#####..###...........#..#....#.#........#.#.....#.......##...............##.........#....#.........##
..#.#..#...#.....#..#....#......#.#...#.....#..##...#.#.#..#...#......##......#.##..#.....#.......#......#...###.##....#........#.##.#...###..##.#.#.....#.####.......#..#.......#.....#.....#..#..#....#...........##.#...............#..##.#.........#........#...#..#.##.....#..#..#...##......#......##...##.........#...#......#.#..#.##...................#..#...#....##....#..##.........##....#...##.....##....#.......#.#...#.....#..###..#....####...........#..........##.....###.....#..####......##...##...........#..#...#..##......#..#..........###........#.##.....#.....#.......###....#.#..#...#..#...............##..#..#..#..............#...#.#..#..#....#......#.......#..#........#...........#...........#....#........##......#.##.#..##........##........#..#...##...#.##..#.....##.......#.#.......#...........#..........#...##.......##...#.#.###..#.#...#...#....#.......###...#........#.....##..#.#...###...#....##...........#...#...............#....#...........#..#.#...#..........#..........#.
##..#....#.#.....#..#......#......#.#.##...#........#..#...#..........#.........#..#....#.#.###...#.#.#..#.##....#...#.#....##....##.......#..#..#..##...#..##.#........#....#......#..#...........#..#..#..#.......####........##........####....##..##.#...#..#..##.##......#.#....................#..............................#.#...###.#.........#..#.#..#..#.........#..##...#..............#.#...##...#.##.#..#...#...#.#...#...#..#..###.......###..###.#....#..........##....#..#.#.....#####...#.....#..#.......#..##...#.##..#.......#.....#.#...#.#.....#.#.#...#.....#.....#..#.....##......#.###.#...#..#.##.....#.#.##..#.....#.#.......#....#...#.#..##.#....#...............#..........##...........#..#.#......##....##......#.....##....#..#......#...#........#..##..####....##.#....##......#.#.#...#....#....#.........#............#......##.#...#.#.##..##.#.#.#.#....#.......#.#.#...#.....#.#....#...###.....#..##.....#.....#...#.#......#...#.....#...#...#...........#....##....#....#...#..#.....#.##
###...###...........#........#........#..#.##...#..#..##...#...#.......#..#.#.#..#..#..#..###.....#.#.#......###.##....#....#..##.#.....###..#.#.........#...###.........#.............#.....#..#.....#..##.#.........##........#...........###..###.....#..#......##.#..#......#.....#...#..........#...##...##.#..##...#......#......#.#.#.......##...#..#.#..#..#.........#..#.#..#.........##...#.....##.#....#.#.##.......#.##...#....##....#.##...##.#..#...#....#......#...##....#........#..##.##.....#..#..........#..##..#..##.##.....#.#..##...#...#.#.#........#.##.#...#........#.....#......#....#.#...#..#.##.....###.##..#..#......#...........#..#....#..#....#..#..#.......###.#.#......#......#.....#..#.#......##..#.#......##......#.......##...#.#..#.........#.#.#...###.###...#....###...#...#..........#.....#.....#.......#.#...#.#..................#..#..#.....#....#..#.##..#..#............#......#...#..#.#..##....#..#.......#.#....#...............#...#...........##.#.#..........#...#..#.....#..#
.#..#...##.#.....#.........#......#...#..#..#.........#........#......##...#.....#.##..#.....#........#....#####......##.......#..##....#...###....#.#.......###......##......#....................#..#.#####...................#......#...##.#..##....#.#...#..#..#...#..#...#.#.................#......#....#......#...#...#......#..#.#.##.#....#....###..#..##.#...#....#...#................#..#.#...##.#.#.....................#......#...#........##...#...##.........##...#......###.....#.##.#........#.#.#.#......#..#..........##.........##.......#.###...#.#....##....#........#.....#.#......#..#..##..#....#...#..#.......##.#..#...#...........#..#.#.............#..........###..........##......#.......#.......##...#........##.....#.#..##...#.........#........#.###..#..#..###..#......#...#.#.#.#...#.........##....#...#......##..###.............#..#.#.##..#.....#....#.....#.#.#...#........#.#...#####.##....#.........#.....#.....#........#............#..#............#...##.#..#...........#.....#.#.
#.#.#.#.#................#.#....#.#....#............#...#................#.####....##..#...#........#....#.##.##.....##.....##..#.#..#....###.##....##...#.#...#.......###.......#...........#..#.......###.#...................#............#...#.....#...#.#.....#..#...........#..................#...###..##....#...............#.#...###....#.##...#.##....#......#........###...#..........#.##.#......#...##...##...#...#..##..#....#...#.#.......###......##...#.....#....##....##....#....######......#...#.....#.....##.....##.#.#....#.#...#...#...#..##...#.#....#..#...#.....#..#......#....##......................###.##..##......#.#................#..........#..#..........###..........#..........................#.#.##............#..###........#....#.........#.###...##..##.#..##.....#.....#.#.#...#.........##.....#.......#.....###................#.#..##.#.#........#..#..#..###..#.#.....#.#....##.............#.....#............#....#.#.............#....#..........##...#..##......#...#............
........#..#.............#...#..#...#..#...#....#..##.##........................#..#...#..#...#.....#.#....##....##............#..#..#...#....#..#.#.......###........###.....#........#........#.......#.##.........#.#...............#.....##..#.....#.#.#.#.....##.#...#...#.#..#..#..............#.....#...#.#..##.......#..#....###..#...#.........#.##.#.....#...#....##..##....#....#....##.#.......#...#.#.........#...#..#..##..#.##.#..#.#....##.#...##......#......#...##.....##......#.####..........#..............#......#.###.........#........#..##..........#..#...........#.....##.......#.###.##.......#...#....#.##..##.#..#.#.#.....#........#..#.##......#.............###..........#......#.....#..........#..#.##...............#..#.#..#....#........#.....#..##..##...###...##.........#.#.#.#...#....#...........#......#...#..#.#.......#.#.#...####..#..#.#.#.........#......#.#...#.....###....#.#.......#....##.#..#.....##............#.#.......#......................#.##..#..........#..........#.
##....#.##.#.............#...#......#..#.#.#....#..#....#......#.......#..#.###.....#..#..###.#...#...#..#.###........#.........#....#..##.#####...##....#.#.#.#......#..........#.....#.....#..#..#......#.#..........#.......##......#..##.##..##........#....#.....#..#....#.#..#..#...##.........#....##.#.#................#....##.....#...........#....#...#.#...#....##...#...#.....#....#..........#.#.#....#.##...#...#..#..##....##......#......##..#...#..........#....##....###......#.#...#......#..#.###...#.....##.....#.........#.#..##.#.....#.#...............#............#.....##....##..###..#..#...........##..##............#................#..#..#....#......#.#.....#..#.........#.....##....#..........#.#..#.#......#......#.#..##..#......#...#..#...#...###..#.##....#..#....##..........#...#.....#..........#..#...#...#..#........#..#.....##....##.#.#...#.......#..#.#..#..#........#.........####.......#..#...#.#..##...###......#.#.#.........#...#............#......##......#.#.............#
#...#...#..#.................#..#..........##......##..#.......#.......#....##..#...#..#..........#.#.#....#.#.#.##...#......#..#....#....#.#..#...#.#.....##.##........##....#..#...........#..#..#..#.#####.......###........###.........#.#...###..##.#.............#........#.....#....#......#.......#..#.#.....#..............##....#.#.......#...#..#.#..##...........#...#....#....#...#.#..#.#...##...#.#....#....#...#.#.#.....#..#...##.#....#.......#..#.........##....#.....###..#..#..#.###..........###......#..##..#..##.#.#..............#...#..#....#.#.##..#....................##....##..#.#.....#..#.#......#....#.....#............#..........##..#.#..........#..#.....#..#........#...........#...#.......####.###.............#.##..#..##.....#..##..........##.#.#..#....##.##...#.#.........#.......##.....#.....#.........#.....#.........#......#.#.##..#.#.#.#.......#..#.#.#........#...###...###.#..#.......#...........#....##....................###...............#...#...#.#......#..#.......#.##
..#.#.#.#..#.....#.........#.#..#.#....#...##..##..#.....................#..###.##..#.....#...#.......#.......##......##.......#...#.#...#.#.##..#.#.....#..##.#......####...#...#..#...................#..##.......##.#.......##.........##.....#....#..#.###.....##.##..#...#...##..#....#......#......##..#.#.............#..#....##.....#.#..#..#....#.......#.#...#.........#...##....#...#.#........##......#.#.#....#.....##...#.....#...##.##....#.#..###.................##....#.##..#.....###.#..#..##.#...#.#.#.........#...#.#.#....#....#..#.#...........#....#..#.....#.......#.....###.....##..#...#........#.....#...#...##....#.#.............#.....#.#..#....#.....##.#......#...........#.....##.......#.#.....###..###......##......##...#...#........##..#.........##.#.#.....#..##...#.......#.#.....#.........##....##..#...##..#..#...............#...##...#.#.#.............#...##.#......#....#....########..###..#..#..##.#...#...#.....##.#.#.......#...##..#............#...#..##.#....#...#........#..#
.##.#.###..#........#......#.#..#.#........#....#..#..#.#..#...#......##.###..#.#...#..##.#.###.......#..#...........###....##..#..#.#..##...#.#...###........#..........#...#...#..#........#..#.....#.###............................#..###....##....#....#......##..#..#........#..#..................###.#.#....#....#......#.....##...##.#....##.....##....##.#...#....##...##..##........##..#..#....#......#........#...#.#.#.#.....#..##.#..#.....#...#.#..#...#.....##...#........#.....#.###.#...#..#..#...#......#..##..##....##.......#..##.........##....#...#...#.#..#.........#.....##..........#.#...#.....#.....#...##..#..#..#...............#..#.#...#.#.......#.....#....###..........#......#....##....#.......##..#........#......#....#...#..................#....#.##.#..#..#.#....###...#.#.#.....#....#.....#....#...#...##.##..#........##.#.#.#.#..#...#.#.#...#..........#...###.........#......##.#.#.....##..##.......#.......#.....#............#...##...#..........#..#.##.#.......#.#.#........#.#.
..#.#.###....................#..#.#.#.##.......#.......##..#..............##.....#.#....#..#..#...#...#......#.#.....###....#...#..#.....#..#.#..............#.........##.....#..#.....#........#..#....#.##...........#........#......#...####..#.#..##.#.##...#..##.#..#....#.......#....#......#......###.....#...#...#...#..#.....#..####....#.#....#....#..#......#....#.........#.........#..#......#..#......#..#.......#..#......#.##...##.##....#.#..###......#...........#....#.##.##..#...#.#......##...###.#.#..#..#.......#..##....#.#...#.#.#.....#.#.....#.....#.#.................#......#.#.##..#......#.##.....#.#..#..##..........................#....#.......#...........#....#......#......##...##..#.......###..###.............###.###...#...#....##..#...#.#..#.#.#.#..#.#.........#....#.#.............#...#.....#...#...#..#............##.....#.##...##........#.............#..#.#.#..#...#.#....##...##..#.....#....##.#..##.........#..#.#.......#..#.#..##..........##....#..#.#......#.##.........#.
.#.......#.......#..#...........#...#.##...##..#........#..................####.##..#.......#.#.....#......#.###.....#.#....#...#..#.#.....##.##...###...#.##.#........###...##.....#..#.....#..#..#..#.#.#.#.......#.....................###.#...#...##....#.........##.##...#....#..............#..#...#.#..##.#...#...#......#.....##.#....#..#..#...#.##.#..##.#........##...#...............#.##.#...........................##.#.....#...###.##....##...###.................#.....##.#.#...#.#.##....#...#...............#...#......#.......#..#..#.....#..##.....#.##.##...........#.#......#.....#...#.#..#..#..#..#.....##..##..#...............#....##..#.#..##.#....#.....#........##...#.......#................#.....##.#.#..#.....##.....##....#..##.....#..#.......#.#.#.##..#.#.#####..#...##....#.....#...#...#.#...##....#........#.#...#.........#.....#.#.#...##...#.#............#.##.##.#.......#......#...##....#....#.....##.#.............#..#...#.........##..............#....##.##........#..#.#.......#.
.##.#.#....#.....#..#....#.#.#......#.......#.........##...#..........##.###.....#......#.##........#.#.....#.##.....###....##.##.##.#...#.####..#...#...#...#.........##....##.....#..#...........#........#.......#..#.......###........###......#..##.#..#...#..##.#...#.....#..#......#..............###.#.#....##..........#...#.....#...#..#.#....#..#.....#..........##..#.#..##....#...##..#..#....#.#......#..#...#......##..#....##.#.##.##....#.#..#.#.#....#.....##...#......##......#..#..##........#..#..........##..##.##................#.....#.###...........#.....#........#.....#......##......#.......#...#..#.#...............#..............#.#..#..#..........#..#....#.#...#.......#..........#............#...##.#.....##......#..#.#..#....#.#..##..#.....#..###.#.......#...#...#.#.......#.#...#...#.....#.........#.......#...........##.....#...##.#.#.#.#.#......#..#.##..####.........#.##...#.##.##........#.....##.#..##.........##.....#.....#....#..............#..#.#..##.#....#......#.......#.
###.#.###...........#......#.#..#...#..#.#.#..........###.............#...#.#...##..#..##..##.......#.#.....##...#...###...........#....##..#..#....#......###........###....#..................#........##.........####........#.............#..#.#...#...##...#...#..#.##...#.#....................#...##.........#........#..#...#.##..###.#.....#......#.....#.#........#.....#........#.................#.#.##.#.##.......#.###..........##.#..#.....#.......##..........#...#.....####..#..#.###........##.#.......#..#...#..#...#...#....#.#..#..........#.#.....#.......#..#........##....#.#....#....##.##..#..#..#.....#....#..##....#...............#..#.##.#.............##......##....#......##......#...##....#........#..###......#.....#..##.#..##...#.#......#........#.#.#..#.##..#..#...#.......#.#.....#.....#...#......#..#....#.....#.#.........#...#.#.##.........#......#..#.#..####.......#..####...####..#....#....#.#..#.....##...###...#..#.............##..##................#..#......#.#.##.......#.#.
#.#.....#..#........#....#.#....#.#.#.##.......##..#..#.#......#......##.##..##..#.....##..#..#.....#....#..##.#.....##.....##....#......###.###.#.........#..#.......###....#.........#...........#..#.#............#.........###.....#..#...#...#...#....##...#..#..##......#.#..#......................##...#....#....#..........#.....#.#.#..#......#..#.#.........#.....#..#..............##...#.#...##.#....#........#...#.##..##.......#.....#......#...##.#....#......#....#....##...#......#.###.....##.#..#..#.#..#...#..#..#..#...........##.#.......##............#....#......#........#.....#.......##.......#.......##......#......#.......#.....#..#.#..##.#....#..#..##.#.....##...#......#......#.....#..#........##...##......##.....####.##.......#.#..#.......#....##..###..#...#..#....#......#.#.....#..........#....##..#...##..#..#.#......##.#........#.#.........#.......#.##.#..##.#....#...#.....###.##.#...##........##.#...#...###......#...#.............#............#.#.....#.#....#....#.#.....#.#.
..#...##.#.#...............#.#..#...#.......#...#.....#....#...#.........###.#............###............#.#......#............##..#.#..#....###...........#.##........#.#...#...#.....#........#..#..#..##....................###.........##.#..###.....#.###..#..#...#.#......#..#..#...##.........#.......###....##...#...#......###..##......#.#.....##..#..##.#...#....##.......#.........###..#.....##...#..#.#......#.....###.#.....##...#..#....####..#........#.....##...##....#.##.......#..##...#..##...#...#....#.......#.#..###....#.....#.#.#......#......#...........#........#....###.....##...#.#...#....##..#...##.#...................#..........#..#.......#..#..##.#....##....#..............#....#..........#....###......#........#####.......#....#...#.......#.#...#....#...............#.#.#.#...#....#....#.....#...#...##.##...#.......#..#.#...#.....#..#.............#....####..#....#...##....##.#..#...###...#....#..#..............#.#...#.....#..###..............##.#.##.##.#......#.#..........#.
.##....#.........#..#......#....#...#.##.#..#..#...##.##...............#..##.##.##...........##.......#..#.#.#........##....#.....#..#..##..###..#..##...#.##.##......#......#...#..#..#.....#..#..#..#.#..#........#.#................#...##....#..............#..#...#..#........#......##.............#.#..##.#...#..........#...#..#.........#..#...####.#..##.#........#...##...##....#...#..........##...#......##...#.....#.......#.##.#.........#.#....##..#...#......#...##.........##....###.#...#.....#.##..#....#..##..#.....#........#..#....#.....#.#...#.#....##....#......#.......##.....##...#...............#...##......#.#.................##..#..#....#....#.....#..#....###.#.#......##.....#....##..#.#.......##.#.##......#..............##...#.#..#...#...#....#.....#....#.#.......##...#.#.......#....#....##.....#..#......#...###......#..#.....##.#.#.#.#...#.........#....#.....#.#............#.#...##..#.#..#..#..##.....#....##...##.#............#.#..#............#...#.....#......#.##.......#...
###...#.#..#.....#.....................#........#..##..........#......##...#.#...#.....#..#...#.....#.#.....#........#.#.......#...#....#..#.#.#.#.##....#.#..##.......###.......#...........#............#.#.........##........##.....#..####...###...#.#...#..#...#.#..#....#.#..#......##.........#.....#..#..#...#..............#.##.####......##.....##....#..#.............#.............###.##.#...#.......#.#..#.......#.#.#.#.....#....##.#....##.#..##..#..........##....#....#..#..#....#..###..#..#.....#..#.......##......#..........#..##.#.#...#.#.#...#....#.##.#..#......#.#......##....##...##........#.##..#..##..#...#..#....#.......#....#.....#..##......#...............#..........#.......#....#.............#.#.........#.....#.##.#........#.#...#..#........#...#.##.###.#......###.....#...#.............##....##.......#..#...##......##.#.....####..#..#.#.#.#.......#.#.....##.#.#..#..##.#....##....#....#..#..#........##.....#...#....#.#.....#..#................#.....#..#.#....#....#.#........#
.##...####.#.............#...#......#..#...#....#..##..#...#..........#....#.#...#.#....#...#.#.......#..#.#...#.#...##.....##....#......#.###.#...........#.##.....................#..#..............#.##..#........###...............#..#.#.#..#.....#....##..#..#...#.##.....#.#.......##.............#.#.##..#...#.......#.........#..###.......#...###..#..#...........#.....#..#..........##..#.....#......##.#.#........#..##.##..#.....#...##.........##..#....#.....#....#.....##...#...#.#####......##.......#.#..#.........#..###....#....##.#.#.....##......#.#........##.....#.#......#......##.#.#..#..#..#.#...#....................#.....#....#...#..#..#.#.......#..#..#.....##.................##...#...#.#.....#.#..##.......##......#..#.....#...#.#..##........#.###...##..#####.#....#.........#.....#....#..........#........#.##..#.........#........###.###.#.#.#......#..#..........#........##.....##........##..##....##.#.......###........#.#........#.#..#................##..#......#.#..#.......#...
.#.....###..........#....#...#..#......#.#.##...#.....#.#..#..........#..###..#..#..#..##....##..........#..#........###....#...#.#......#.........###...#...#.#.......#.#...##.....#..#.....#..#.......##.#........###........#.#........#...#..........#..##.....##.##.##...#.#.##......##.........#........#..#..##.......#......##.#.#.......#.##.....##.#..#............#...#...#.....#....#..#..#...#......##............#.###.##..#.##.#..#.##....#......#.##...#.....##.........##.#.##..#.##..#...#...#.#.#.#.........##.....##.#...........#..#.......#.#.......##..#....#........#.....##.....#.#.#.#.##..#..#..#..#...#..##..........#.#..........##..#..#.........#..#..##.#........#.#........................#......###.##........#.....##........#.....#..#...#........###..#.#.#.#.#..#...#.....#.....#........#....#......#......##.##..#.#.......#...#.#.#.#..#.#.#.#...#....#..#.##..#..#.#.#..#..##......##...#...###..#..#.....#...#....##...##...#...........##...............#.#.#..##.............#.....#..#
##..#.#.##.#........#......#.#........##.#.#...#...#....#..#...#.......#...#.....#.#......###.#.....#......###...##...##.....#.......#....#...#..#.#.....#.#.###......####....#..#.....#.....#..#..#..#.##.##..................##......#.....#...#....##...###.....#...#..#........#..#...#..........#....#..###.#..##...#...#..#.....#...##........#...####....#..#...#....#...#....#.........#......#...##...#......##.......#.###.....#...............##.......#....#.....#.....#.....##..##..#.#.####............#...#.....##........##.....#.........#......#........#.....#...#.....#........#..........#..##.......##......##.#...##.#......#..........#.....##.##......#..............##.#...............##.......#.#.....##....#.......##.....#.#..##..#......#...#..#.....#......####..###...#....#....#.#...#...#...###...#................##...#.......#..#.#.#...##.##..#.#.#.#....#..#.....#.##......#....#...........#..###.....#.....#...#....##..........#.........##...............#....#.##.#........#..........#.
.#.....#.........#..#....#.#....#......#...##..##..##.#........#.........##......#.....#..###.......#......####.......#........##....#...#.....#...###...#.####..........#.......#..#..............#..#.##.##.........##.........#.........#.##..#.#.......###........##.##.......##..#....#......#..#...#.#..#..#..#...............##.#..###.#..#..#...#.#..#..................###...#...............#......#...##.#............##......#.##.###.......##......#.#....#.....##....#......##........###.......##.#..#..#....#...#..#..#..##.......#...#.#.#.....###.....#.......#...#.....#.##....#.......#...#...#..#..#.##......##..#..................#....#...#.#..........#.....#..#......#...........#.....##...#...#.#......#....#........#......####.#..#..........#........#.#....#.....#.........#...............#.........#.........#...........#.......#....#.#.##.#.###.#.#.#......#..#.##.####..#.#......#.....#.#..#.#.......#................#.#....#.#.#.#.....#..##................#.#....#..#........##.#.......#.
##..#.####.......#..#......#......#...#..#......#...#.#........#...........###...#..#...#.###.#...#...........#...#..###.......#..........####.......#.....#.#........#..#...#...#...........#..........#.#.#........#.#.......#..........##.#.............###.....##.#..##........#.........................#...#..#....#......#...#..#.#.#..#....#....#....#...#...........#...##..#.....#..............##.....#..#.##.........#.#.....#.##..#.........##............#.....##.........####.#...#.#..........#....#........#......##..#..##....#.#...#.......#...........#..##.............##.....#......#...#...#..#..#.#......#...##..#...............#....#.....#..##.#...................#..#....................##....#......#.....#..............#.###...#...................#.#.#..##.#..#.#..##....#....#.............###...#.....#...#...........##.......#...#.#.##.#..#..#...#.#.......#.##.###.#...#......###...#..###....##...##.#..##.#........##....#...........#....#..#..............#..#..#.............#........#
.#....#.##.#.....#..#...........#...#.#........#...##.#........#.........####...#...#..#..#.##....#...#..#.#......#..##.....##..#....#..#....###.#...#.....#.#.#......##.........#...........#..#.......####........####.......##......#..#...#....#..##.#.........#..#...#.......#........#...............#...#....#...........#......#...#.....#.#......#.....................##..............#............#...#....##...........#.##....#..###..#.....###..#....#.........##...#........#.......#..##......#..#.#...#.......#....#.##..##....#.#.....#.#...#.##....#.......#.............#......##.....#....#..#........#..#..###.##..........#.#..........##..#..#....#..........##..........#.#......##.....#....#.............##..###..............#.###..#....#....##..#...#......#...#..#.#.#..#...#.....#.#.#.........###...#.........#....#.##...##.......#...#...#......#...............#.......##......#..#......#####......##...#.....#.#...#.....#...#....#.#.....#...##...#..........##......##.#....#.#.##.#.....#.##
.........#.#.............................#.##..#...##...#.............##.#.##.......#...#..#.##...#......#.#...#..#...##....##.#........#........#..#....#.##..........##........#..#........#..#..#..#.##.#...........#.........#.....#......#..#....##..............##......#...........##.............#....##.#..##...#...#......####..#......#.......##..#...#.#...#....#...##.........#...#....#.#...##.#.#....#.##.......#..#...#....##..#.#.##...###...#.#..................#.....##........#.##..........#.......#..#..#...##..#..##.........#....#.....#.#.....#.#...#.#..#........##...........##..#.#..#..#..#.##..#...##.....#.....#.........#....#...#..#.##......#..#..#..#......#.#.........#..........##..#.#.......#..#.#.......#.....#.....#..##.....#..#.......#...###..#..#.#.#.#.......#....#.#.......#....##...##....#...#..........#.#......##.#.#.#.####..##...#.#.........#..#.#.##....#..#...#......#..####..##...#........#..##....##...##...#.#.....#....#..##..........#..#..#....#........##.........#.
.#..#..###.................#....#......#.#.........#..#.#......#.........#...##.#......#..........#........#####.##..#..........#.##....#..#.#...#...........##........#.....##.....#........#........#.#.#.#..................##.................##...#...###..#.....#...#.......##..#...........#..#...#.#.#...#..##.......#.......##...#.#....#......##.#.#.....#.............##...#..........#..#........#........#........#.###.##..#.#..#.#..#.....#.#..##...#...#.....##..........###........##.#...#..#..#.###...#..#.........##.##.....#.#..##.........#.....#....#.##.#..#.........#.....##.....#..###.##.......##......#.......#.#......#..........##....##..#......#..#...#.......#..#.........#.....##....#............##.###......#......#.#.#...............#......#.#.####..#...#.#.#.##....#......#.#.#.............#.....#...#...##.....#.#......#.........##...#........#....#..#.#..##....#....#...#...........#...#.......#...#.#...#...###..........#........#.#...#.............#....#..#......#..#.......#.##
###.#....#.......#..#....#...#....#....#........#..##.#.#..#.............##..##.#...#..##.###.#...#.#....#..####..#...#......#....##.#...##.#..#...###...#....##......##.....##..#..#..#........#..#..#.....#.........#........##.........###.#..........#.#....#..#..#..##...#...##.......#.................#.......#...#...#..#.............#.........####.#.....#............#.....................#....#.#.................#.#.#.....#.#..#.....#.........#.#.##...#.....#....#.....#..#.....#.#####.......#.#.###...#..#..##..##..#.#.#.........#....#.......#.....#.##..#....#......#.#.......#....##..##......#........#....#.#...##.#..#.........#.....#.....#..#......#..#..#..#.....#..#...............#....#.....#.......##..###.....#......##..#.#..##...#.#...#........#.#.#..####..#..#..#...........#.#.#.........#...##....#.......#......##..........#.#.#.#..#..#....#.#.........#..#...#.....#..#...###...#..#.#....#....##....##.#.......#.#....#.#.#.#.........#...#.................#.#............#.#.....#..#
..#...#.##.#.................#..#.#.........#......#..#....................#.#.....#...#....##....#.#.#.....#.....#..###.....#..#.#.....#.#..###.#..#......####.......####.......#...........#..#..#..#..#.##.......#..#.......###.....#....###..###...#...##......##..#........#.....#....#.........#...##..................#..#.....##.#..#..............#.....#.#...#..........#..#.........###..#.#...#....#.#....#....#...#..##.##.....#...##..#....#....##.............##...#.....##.#.........#.....#...#.#...#.#.#..#..##..##.##.#........#..#....#...#...#...#...#.....#..#........##....#.#....##...##..#.......#...#..##..##..#..#......#.....#....#...#....#..#.......#...........##.#.#......#.......#...#...#.#.....#....#.#......#.......###.#...#.........#.......#........####..#.....#...#.#...#.#.#.#.......#.#.........##..#...#..#...###......##.#.....####.#.........#....#.....#.###.#.#.......#.#....#.....#...#.#..##....#..#..#....#..........#.#.....#..###...............#.#..#.#..#.........#.......#.##
......#....#.....#..#........#..#...#.##.#..#...#..........#...........#...#..#.....#...#..###....#.#.#....#.....#....##....##..#.##........###..#.###...#..#...........#.....#.....#..............#....##...........###.......###.....#..#...#...##..##............#....##...#....#..#...##......#......#....##.#..#........#......#.....#...#..#..#...#.#.....##.#........#..................###.##.#...#....#.#.....#...#..........#..#.##.#.....#....##....##......#..........#.....##.#.#...#.#.#.....#...........#.#..#.......#....#.#......#...................#....#.##.............##....###....###.##..##..#..#.#.......#.......#.#......#.....#..........#.....#....#........#....###..........##.....##................#.#.#.........#.....#######.......#.#..##......#...###..#.##.#.##..#............#.#.........###...##....#.......##.##...#.......##.#.#.#..###..##....................##.##.#.#..#............##.##..##...#..#...#....##....#....#....#.......#...#...##.............#.##.##.#....#...##.......#.#.
###.#..###.......#.......#.#........#.##...#....#...#......#.............#..##..#...#..##.#.###...#.#.#..#.#...#..#..#.#.....#....#..#......#..#.#.#.....#..#..#......#.......#..#.....#.....#........#..##.#........#.........##...........#....###...#.#.#....#..##....##.......##..#...........#..#...#.....#.............#..#....###..###.#..#..#.....##.#..#......#........##.............##..##.#......#.#....#.##...#.....#.#..#..#.#..#.........#.....#...#...............##..........#..#.#....#..#.......##.......#.......#..#.##.....#.#..##...#.....###..........##.#..#...............#......##..#...#..#....##..#...##.#...........#.......#.....#....#...#.#..........##.......##.#.#.............##...##..#.#.....##...##........#.....#..#..#..##...#..............#.##...##.#.#.##.........#.......#.....#...#.#.........##..#...#..#...#........##...#...#..#.#...#.#...#....#....##...#.#.#....#...#.#.....#.##.#..#.#...#....#..#.......#.#....#.#...#.....#..##..................#....##......#......#.....#.##
#.#...###........#..#....#...#........##.......##.....###.............#...####...#......#.##.#...........#.##..#..#..#......#..##..#.#..#.#..##..........#..#..#......#......#...#..#........#........#.#.###..................###.....#...###...#.....#.#.#........#.##..#...#.#..#..#...##...............#.##.....##.......#..#....###.#....#..#......##.........#........##...#.........#.....#.##.#...##.....##...##...#...#.##.........#...#...#...##.....#...#...#...........#....#.#......#...#..#..#.......###.#.......##.....##.#.#....#.....#.#.....#..#......#.##..#.#..#......#.##.....#.....#...#.#..#..#..#.#.......##......#....#.#.............#.....#.##......#..#............#...#..................#...#........##...##......#...............#..........#..#...#...#..#...#.....#..##.............................#.....##......##..#..#.#......##...#.#.####.##..#.#.#.#....#..#.##....#.......#..##.#...#.##.###..#....#.....##.........###...##...........#..##....#..........##...#.....#....#.#.#..#.....#.#.
..#...##...#........#....#.#....#.....##.#..#......##..##..#..........##....##...#.#.........#....#........##.#...#..###....#..#...#.#....##..##.#.#.#.....#..#.......#.##...#.....................#..#.##.#...........#.......#.#.....#...##.#...#....#....#...#........##...#...##......##...............#.#.#.#..##.......#..#...#.....#.#....#.##...#.......##.....#.............##.........##.#..#......#...#..#.#....#...#...#.##..#.##.###..##....#.#....#.#...........#...##.....#...##.....###.#..............#.#.....#...##.....##.........#..#.....#.###.....#..#....#..##.............#.#.....#..#....#.......##.....#.#.##..##........#...........#..#..#.#..............#.#....#...#................................#....#.#.............##..#.........#....#.......#.#..#.#...##...###......###...#...#.#.......#.#...#.........#.......#...##......#..#.#.#..##..#...#...#.#.......#.#......#.#.#..#....#....###.####....#...#.#..##.#..##...##.....#...#.#..........#..#............#.#.#..........#......#........#
#...#.#.##.#.....#.........#.#........##.#.....#....#.##..............##.#.##.#.##.##...#.........#.#....#.#.###.....#.........#..##.....##...##....##.....#.#.........#.....##.....#........#.....#..#...###.........#..........#.....#...#.##..###...#...#....#..##.#.......#....#......#.......#..#....#..........#...............#.#.#..#.#..#..#...###..#..#......#.....#........#........###.##........#...##.#.#....#...#.#...##..#.....###.......###..#...#..........#....##....#....#...#..###.#..#.....#...#.................#.##...........#.......#...#.....#.#..##.#..#......#.......##.....##..#...##..#.....#..#..#...##...#....#.#.#...........#..#..#.##......#.....##.......##.#.#.......#......#.........#......##..#.#......##.......#####..##...#.#..#............#.#.##.#.#.#...#......#...#.....#........##....#.....#......##......#.......##...#...#.#..#.#...#........#..#.##.......#....#.........###..#.........#.....#..#..##...###........#.#.....#...#...............##...#..##.#......#.#..#........#
#.#.#.##............#....#.#....#.#....#.......##..#..###......#.......#..####..##..#..#...#.#....#...#....#.#.......##.....#..#.....#..#.####...............#........##.#...##..#.....#........#.....#...#..........#.#........##..........#....##........##...#...#..#.#........##.......#.............#....#.....#........#..#...##.#..###....#.#.....#.#.#...............#..#....#.....#...##.....#....#...#.#....#....#.....#.........##.#.....#...###.......#....#.....##...#.....#.#...#....#.###...........#.#......#..#.........###....#.........#......##...#.#.##..#....##.......##...........###.##...........#...#...#...#.....#.................#......#.##.#....#.....#..#....#...#................#...##..#........##...........#......####.##..##...#.#..##..#.......####.#.#..#.###..#.....#...#.........#...##...........#......#..##...##......#....#....##..##..#.#...#.......#.#.....##.........#..#...#..#.#................#.....#...##.........#.#.............#..............#.#..#..#....#......#........#
..#.#...#........#.......#.#....#.#.#....#..#..#...##...#..#...#......#..###.#...#.#......#...#..........#.##.##..#...#......#..#.......#.######....#......#...#.........#..........#...............................#..#...................#...........#.#.#.......##....#......#.##.................#.....#.#.#.........#............##.#.#............#.##.......#...#....##...##...#....#...#....#.....##.#.#....#......#.....#....#..........#..#.....#...#.#..#...#......#...#......#.#.....#...##.......#.....##......#...#........###......#.....#.....#.#.#.......#...#.#..##..............#.....###..#..#...#....#......#...#...#.........#.....#.............#..#....#..#..##.#....#...#.#......##.....#........#........##..#.#................##.#..#....#.....#..#...#.#.##...#......###..#.........#.#...#...#...#.#...##.....#.........##............#.#.#..........#.#.....#.........#...#....#.#..#..#.........##.....##......#..#..#..#.....#....##.#.#.#.........##..##..........#..#.#...#.#......#.#..........##
..#.#.##.#...................#..#.#....#....#...#..##.#.#..#...#...........##......#...##.#.###...#.#.#....#.##..##...#......#.....#.....#######.#.###.....#.#.#......#..#...#...#..#...........#.......##.##.......#..#.......##..........##.#..#.#..##.#..........#.#..#........##..#...........#......##..###.#..##...#...#......#.#...#.#....#.........#.#..##.....#.....#....#..##..........#.##.#...........#...##.......#...#..#..#.#..##.#.#....#.#...###..#..............##.....#.......#...###......#........#.......##..#..##...#....#.#..#........#..#....#.#..#.##.....#.....#.##....##.......#...#.##.......#...#.......#.......................##..#.#...#.#...........#......#.....#..............#...#.....#......#.#...#.......#......##.#....##...#.#...#..#...#...###..##.#...#.#.##...#.....#.....#.......##....#.....#...#....#.##..#.#...........#.#.#.##.##..#...#.#.........#..#...#.#.#..#..........#....#.....#.........#.#..##...#.#...#..#.#.......#..##................#.#.#..##.#......#.##.......#..#
.#..#....#.......#.......#...#....#.#..#.#.#....#......#...#...#......##..##.#..##.....#..#.#.#...#........#.##...#..###....#..#..#.....#.###.##...#.#...#.#..........##.....#...#..#...........#.....#..#..#.......#..#.......#.#........##.#...##.........#...#..#......#...#....#..#...##......#..#....#..###.#.......#...#.......###.###..#....#....##.#....##.#........##..#.#..#..........##.##.....##.#.#......#....#...#.##..#...#..#.##....#...####..##..#...............#......###..#.....#..#.......#.....#.#...........##....###.........#....#......#....#.#..#.##.#...#........#....###....#.#.#.#.#........##..#...#..##..#.....#.#.#.....#.....#..#.#..#..#.......#...#..........#.#......##..............#.........#..#..#.....##.......#...#..#......#..#...........#....###...#....##....#..........#...#.........##........#...........#........#.....#...#..#...#.....#....#..#..#.#####..........###....######...#....##.#.....#..##....##...##.#.#.......#....#..#...........##.#.##....#......#.#........#..#
..#....##....................#..#........#.##..#...........#...........#.###.##.##..#...#..#.#........#..#....##.##...#.....#.....##.#...###.#.#.#.#.#.......#........#.##...##........#................#####.......####.......##......#..###.#....#..#..#..##..#..##.....#.......#.......##......#.......#..##......#...#......#....##..###.....#.##...##.#.#..#..#...#.....#..##....#........#.#.#..#...#..#.#.#....##.......#...#.##..#.##.#.##.##...####...#...#.........#....##......#..#......##..#.....##...#.#.#.#.....#...........#......#..#....#......#....#.#.##.......#......#..#......#.....##...#.....#.....#.....#...#......#......#................##............#...#......###..........##.....#....#.....#........#.###......##........###........#.#..##..#...#....#.#......###...#....##........#.........###...#......#..#...#..##............#........#...##..#...#.........#.#...##.#.#........#.....#..##.##..###........#..#..#.....#.....#...#...........##..#.................#..#.#......#.##.#.....#...
##..#....#.#.............#.............#.#.........#..#........#......#...#...#..#.....#...#.#....#...#..#.##..#..#...#.....##....#..#....#.##...#.........##...........#....#......#..#.....#..#.....#....#.........#.#........#......#..####...#.....#.#.#.#..#...#.........#.......#....#......#..#....##..#..#..............#...####.#..#.......#...##...#...#.....#........#....##....#..........#........#.#..#............##..##.....#.#.#.......##....................#...##.........##....###.............#.#.#.#.....#....#....##.....#.....#...#...#.##......#.#..#............#........##.....##.#.#.##..#..#.#...#....#..#..........#.......#.....#..#.#..##......#......#........#..........##................#......#.#..###......#.....#.###.#..#......#..##..#...#.....##.##.#.##.#..#.....#....#.....#...#.....#...##....#...#......##..#...........#........#.##......#.#....#........##........#....#....#...####..#.#...#.#.....#...#...###....#...........#..##................#.#.##.#...........#..#.....#..#
....#.#....#.....#..#....#.#......#.#.##.#.#....#..##.##...#...#......#..##.#.#.#..##..##..#.#....#.#.#..#..#.##..#.........#..#.....#..#.#.##.#.#...#.....##..........##....#...#.................#.....#..#........##..........#.....#....#.#..#.....#....#.........##..#...#.#.#...............#..........#.#....#........#.......###.#....#..#.##...##.......#..........#...##....#....#...#....#.#........#......#....#......#...#..#.##..#...#......#...###..#.........#.....#....##.#..#.....#...#.....#....###.#.#.........##....##.......#.....#.......#.#...#.#.....#....##.....#..#......#....###...#.#...#..#.#......##..##..##....#.#............##.....#.#..#...........#......##..#........#......##....#..#.#......#.#.#.........#.....#..#.##..#......#..##......#...###...###..#..#.##....##...#.....#........##....#........#...##.#...#........#..#.#.#.####.##....#.#......#....##..#....#.#..#...##.....##..#....#....#................##.....#...........#...##..............##...##....#......#..#.......#..#
#.#.#.####.#.....#.......#.#....#...#.##...##..#...#..#...............##..#.###..#..#.....#.##......#....#.#...#.##..###....#...#........#.#..##.#.#.#...#...#.........##.....#..#...........#..........#..##..................#.......#..##.##....#..#.........#...#.#..##........#..#....#......#..........##.....##...#......#...###...#.........#....#.#.#.....#...#........#..........#....##....#........#..#........#...#.###.....#.....###.#......#...#.#.##..........#............#.#......###.#.....#.....#..#....#..#....#....###....#.....#.#.#.......#.....#.##..#....#......#.##.....#..........#...#..#..#.....#....#.##..#.......#.#.....#.....#..#..#..#.........#...#......###...........#..........#...#.......#.##.#..#.....##.....##..###.......#.#..#.......#...#..#.#....#...#......#.#.....#.#.#........#.....#....#........#..#...#.......##.......#.##.#.......#.#....#..#..#.#.#.....#..............###.#...#.#...#.#...#....#....#.#....#.#.#.#........#.#..#...........#..#..#.##.#....#...##.#.......##
#.......##.#........#....#.#...........#...##..##..#...##..#...#.......#.###.......#......#.###...#...#..#..#....#..........##.##.##...........#...##....#.#..#.......###....#...#.....#.....#..#..#..#.###.#.......#.##...............#...####..##..........#.....##..#.##.....#.##..#...#.......#......###.#.......#.................#.####.......#...#.#..#...............#........#....#...###....#....#.....##....#.........#....#..#..#.###.......##.#..##..#..........##....#....##.#........#####..#...#.#.###..........#..#..#..###....#.........#...#..##...#...#..#..#..#......#.#.....##......##..#..##..#....##.........#....#......#.......#.....#..........#.......#..#.........#.#.#......#.......#................#.#.#.#......#.......#..###...#........#...#...#...#.##.####.#.###.#....##......#.#.#...#...............##..#...##.....#........##.....#.#..#..#........#.......#.#...#..#...#..#....#........#.##..###...................##....##..............##....#..........#.....#....#........#..........#.
#.#...###........#.......#.#.#..#......#....#..#....#......#.............#.......#.........#..#.....#.#.....#.....#..........#.##.#..#...#..#.#.....##......#.##......#.##...##....................#.....#.##.......####.......#.#...........##....#...#.#......#..##...........#.....#...........#..#...##..###....##..........#...####.#.##.#....##...###.....##.....#....##...#...#...........#.##.....##.#....#....#.........#.#.....#.##..#.#.#.......#...##.##...#................##.#.##.....#..##..#.....#.#.....#..#...#..#...#.#.#.........#..........#.#...#.#.#...#....##........#.....#.....##..###.##.....#.##..#....#.##..##.#....#.#.................#..#.#.......#..##......##..#.#.......#......#...##....#........#....#......#......#.##...........#...#...........##...###...###.##....#..........#...#.........##....##.......#.##..##.......#....#...####...#.......#....#.........###.#.#..#..#..#...####.###....#.....#..#.....##....##...#....#.#........#.....#...........#.#.#...#........#.##.#.....#...
##..#.#....#.....#.......#.#.#..#.#.#..#.#......#.....#...............#...#.#.#.##.....#...#..#...#.#.#..#..##...#..........##.##.#.......##..##.....#.....###.........###...#...#..#..#...........#..#..#...........##........#.#.........#.....##..........#..#...#.....#.....#.##..#...##.........#.....#..##....#........#..#.....##.#..#......##...#.......##.....#.....#.......##....#....#...#......#.#......#..#.........#.........##.#.#..#....#..#......#....#.....#...........##..##....######..#.....#..#....#..#..#...#...#..##......#..##.#.......#.....#.#.#..##.#.........#.........#.....##.###.##.....#.##..#......#....#....#.#.............#..#............#.....##.#.....#....#......#...........#.....#......#....#.......#......#.##.....#....#....#............#.#..#...##.....#...##......#.#.#.........#...#......#.......#.##...........##.#.#.#........#.#.............#..#..##.#..........##.....#.###.....#......#...#.#..##.........#..#...#.....#..###..#..............#.##.#............#.......#.#.
....#.#.#...........#........#..#...#.##.#.#........#.###..#...#..........#####..#..#...#.###.#..........#.#.#.#.#...##........#........#.#.####....#.......###........#.#.............#.....#..#.........###........###........##.....#...####...##.......#.#..#..#..............#...#...#.......#..#....#...##.....#...#......#...#..#.##.#....#.......##..#...#.#...#....##..##....#....#....#..#..#...#....#....#.#...........##.##....##..##..##...#..#.......#.........##...##....#..#.......##.#....#..##.#.#...........#...#...#.##.......#..##.#.#.......#...#.#.##.#..#...#...............#....##....#..#..#.....#.....#....#.....#..#.#.#..........#...#.....................#.....#..................#.....#....#.....###...#........#........###........#....#...#.....#.####..#...#.##...#.........#.....#........#....#.....#.......#..#...#...........#.#...#.....#....#........#..#....#.....#.#......##....#.####.#..##....#....#..#...#...#......#..............##...#...........#.......#..#......#..#.........##
.#..#..#.........#.......#......#...#..#...#.......##.##...#...........#........##........##......#...#..#.#.###.##..#......##.#..##....##.#...#...##....#.#.###.........#....#.....#..#........#..#..#..#.##.......###........##......#...#.#...#.#.....#..#.............#...#.#..#......#..........#...#....#..#...........#..#........#..#......##....###.......#.................##..........#..#.#...##...#.#..#.##.......#..##.#...#.....##..#....#.#...##...#..........#.........#.#..#.....#.#.#...#...#...#...............##..#.##.......#..#..#.......#.#...#......##....#........##....#.#....#.#..#..##.....#.##..#...##.#...##.#............#............................#........#.#.#......##..........#...#.........#.....#.....##.....#.#####............#...........####......#...........#........#.....#...##.....#....##.......#..#..#.#......##.#.#....#.#..#..#..........#....##.#.##..#.#.....####.......####..##...#..#..##....##...#.#...#..#...#.............#.................#.#..#.........#.#.....#..#
###.#.#..#.#........#........#..#.#.#..#.#..#..##..#...................#.#..#...#..##..#...#.##...#...#..#.#.#.#.##..#.........#..##.#...#.#.#.#....#.......#..#......###...........#..#........#.......##.##.......##.#......................#...##..#....#...........#.#......#.##.......#.........#.........#.#.....................#.........#..#............#.#...#....##..#.#..#.....#...##...#.....#..#.#.##...#....#...#..#..##..#.##.##.#..#...###.....#.##..........#...##....#..#........#..##.....##.#..#..#.......##......#.###.........#..#.#...............##.##....##.....#.##....#.#....#.#.###..........#........#.....##.#..#.#.............#..#.##..#.........#...#.#....#...#.........#..............#.........##.###......#.........##.#...#.....#..##..#...#...##.#.#.##.#.###..#....##.....#...........#...................#..##..#.........#.#.#...#....#.#...#.#...........#...#.##......#....#....#..#..##....#........##.#...#...#......#...#..........#.#...#..........#..#....##.#....#.#....#.......#.
..#.#......#........#....#.#....#...#.#....#...##.......#..................#..#.#..##...#..#..........#....#.##...#.........#..#..##.#..##...#.#.#.###.....#.#.#........#....##.....#..#.....#........#..#...........#..........#.........##.#...###..##.#.#.#......#..#......#....#..#...#..........#...##..##..#..................#.#...###.#..#..#....##..#..##...........#...##..#.....#...#.#..#......#...#..#.#..#.......#.....##....##.#.#..#......#....##......#......#....#....#....##........#.......#.#..##.#.#..#..##.........##......#..#....#......#............#.#...#.....#........##....#...#.#..#.......#...#..###.##.....#....#.......#....##..#.#................#..#....#............#......##.......#.#.....###....#.......#.......#.#....#....#....#...#.....#.##...###.....#.......#.#.......................##.....#......##......##......#..#.#.#....#..#..#...#.#....#..#....#..##...#.....#......####.##.....#..##.#..#.....##...#.#....#...#.......#....#..............#.......##......#....#.#.....#.##
.##...###..#.....#................#.#..#...#....#...#.#....#..............####..#......##.##........#......#..#..#...#......#.....#.....##.......#..##.........#........#....##..#...........#........#...#.#..........#...............#..#.###...#...##.#......#...#.##.##.....#.....#...#..........#...#.....#.#..............#...#..#...##.#..#..#...#.##.#..##.....#.....#..###..#..........#..##..........#..#.#.##.......#.#...##..#..#.#.#...#....#.#..#.#.................##....####...............#..#....##..#....#..##...#..#........#....#..#.#.....#.....#......#.....##.......#.......#.....##.###..#.......##..#..#...#...#..#..#...............#........#............#.............#..............#....#....#.......##...........#.....#..##....#....#.#..........#.....#........#.##..#....##...#.........#....##...##....##.........#....#..............#..#.#.##........#....#.....#...###.#.#.....#.##....##...##..#....##....#..#...#.....#......#...#.....#..##..................#..#.##..........##.........#.
#.#.#..###.......#..#....#......#........#..#..#......##....................##......#..#..##.#......#.#.....####.#...###....#..##.##.#..#.#.#..#.#...#...#..#..........##.....#..#...........#.....#.....####..........#.......#.#..........###...##..#..#...#..#...#.##.##.......##..#...................#..##..#..#....#.................##.#....#.....##.....#...........#...#....##.........##....#...##.#.#.#.....#...#...#...#.#......#.####..#....##...#....#...#..........##......##.##..#.....#...#..#.............#.........#....#....#.#.....#.#...#..##...#.#.##.##.#...#.....#.##.....##....###.###..#..#...........##............#.#.#..............#.......#....#.............#.#..........##.....##...##....#.......#..#.##......#......#....#..#.............#.......#.....###.#.###..#....#..........#...#...#.#...#.............##.#....#............#.#..##..#.......#.#.........##....##.#.#..#...#.#.........##..#....##.#...#.#..#....##.........#.#.........##..##..........#..#..#.#..#....#.#.#..#.....#..#
#......#...#........#....#...#........##.#.........#..#....#...#......#..#......##..#...#.#.###.............###..#...#...............#..#.#.#.##.#...........#........#......##..#.....#........#.....#..#.#.........##.........#...........###..#.#...#....#...#......#..#...#....#..#....#.............###.#.#.#..#....#...........###.####.#.........#.##.#...#...........#..#.#........#....##....#......#.#.#..#..#.......#..#..#.....#..##........#.....#.#............#....##....###..##....#.#.#...#.......#...#.#.....#...##.................#...#...#..##.....#..#..#.....#........#....##.....###.##...#.....#........#...##...#....................#..#.##.##............#..#.....##.#.#.......#.....##...#...#........###....#................#.....#.........#..#.....#.####........###.##...#.....#...#..........##...#......#.............##........#.#.......#...##.#..........#..#.#....##....#..#...#.......######..###...#.#.....#...#...#.#...#................##..#...........#..#.....#.#....#.#.##.......#..#
##.....#...#.............#........#.#.#.....#..##..##..#...#.............####....#.....##....##.....#.#..#.#.##...#....#....#...#..#.#.....#.###.#.#...................#.........#...........#........#....#........###.........#.........##.#....#..........#..#..##.#...#.....#..#..#......................#......##...#..........#.##.##......#.#....#..#.#..#..#...#.....#..##...##....#.....#..#.....#....#.##....#..........#..#...#....#.#........##...#.#......#.....#.....#.....##...#..#.....##......#...#...#.#.....##..##.##.###....#.#.....#.#...#.#.#...#....#.##....##.......##....###....#.#......#..#....##..#..###..#.....#..#...#.....#.....#.......#..#....#.....#..#....###.#....................#...#.........#............#.....#.....#..##.........#..#...#...###..###.....##......#.#...#.#...#.......###...#.....#...#....#..#...#.......##.#.#.#.#.##.#...#.#.#......#....#..##......#........#....######...###..#.....#..........###......#.#.#........#....##..........##.......#.#....#...##.......#..#
.#....#.##.#.....#..#....#.#.#......#..#..............#....#...#......#...#.#...##.....#....#.#...#.#.#....#.#........#........#...#....#....#......#......#.#........##.....##.....#..#........#..#....###.#.......#.##.......#.......#..##..#..#.#..#....#.......##..#.#........##......##......#......##..#...#...#.......#......#.#...##..#..#.#......#..#...#...........#..#....##..........#..#......#......#.#.##...#...#.#....#.....#...##.##.....#...................#...#.....#.##.#......###.#........#.......#......#...#..#.#......#....#..#.#...#.###...#.#....#..#..#......#.##....##......#...#..#........#.......##.##...#.#....#.......#.....#.....#..#.........#...........##...#.......#.....##...##..........#.##.###......##.....###.###..##...#.#......#.......####.#.##.#...#.#....#.#..................#.....#.....#......#...#............#.#.....####.#.#.#.#...#..........#....#..#..............##..##....#.......#..##.#..##.........##..............###..##..........#..#.#..##.#....#...##.#.....#...
#.#....#.#...............#.#.#......#.#..#..#..#........#..#...#......##.#..#.#.#..##.....#.##.............#####.##..#......##..#........#.##.#....##....#.##.......................#........#...........####.......#............#.........####........#...###........#...#.......##..#...#..............#...#.......#...#.............#.##...#.....#....###.#..#......#....##.......##........###....#........#.#..#.##...#.....##..#..........##.##.....##...##.#...........#...##....#..#.#...#..###.......#....#.#.#.#..#...#...#..#...#..........#.#.#......#........................#.##.....##....#...###.##.....#.....#..#...##..##.#..#.#.............#..#.#..##.#....#......#.#....#.....#.............##.........#.....#.##.###.......#........##....##...#.....#..#.....#...#...##...#.........##....#.#.#.#...#...............#...#...#..#...#.#......##.....#..#...#.#.#.#........#....#..#.##.......#..#..#...##..#.....#....##.#...#.....#....#....#..#.#..........#....##...........#.#............#......#.....#.#.
#...#.###..#.....#.......#...#......#.##.#..#..##...#......#..........#..##.##.........##..###.............##.#.......##.....#.....#......###.#......#.....#..##......###........#...........#..#.....#...##.........##..........#.........##....#....#.....##.....##.#...#...#.#..#......................##.##..#..##...#..........####..###.#..#.#....##...#..#.....................#.........##.##.#......#.#.#..#.##.......#......#..........#.##......#...##.##...#.....##.........#.##.##..#...##....#...#...#.#.#....#..#....#.##.#.#......#..#..........#.....#.#.#..##...........#.......###....#...#.#..#..#..#.##.....#........#.#..#.#.#...........#....#..##......#.....##.#......#..........##..............#.........#...#.#.....##......######..#..........#..#...#.#.#....##.#...##.......##....#.............##....#.....##..#......##...#.......##.#......#.#.##..#...#...........#....###...#.......#.....#.#.#......#...#.#..##....#....#.#...##...#.......#..#................##.#..#.##......#.#.#........#.##
###.....##.#.....#.......#........#...##...##..#...#...........#.........##.###..#.#.......#......#...#..#.##....#...###....##..#....#..#.#...#......#...#.#.###......#.#....##.....#..#...........#..#.#.###........###...........................#...#....#...#.....##.#......#.#...#...........#..#....##.............#......#......#..###....#..#...###......#.#...#........##...##.........#...#.....##.....##....#...#...#.#.#.....#..#..#.#.......#........#...........#....#....#.##.#................#....##....#..#...#...#.##.##.......#..#..#.......###...#.#..#....#..#......#.##......#....#.#.##......#..#.##.....###.#...##......#.#.....#..........#..#..#.......#.....#....#...#........#......##.......#.......##.#.#.##.....##.....###...#..##...#.#......#...#.#.####....#.#.###.#....##....#.#...........###.................##.....#.#......#....#.#.####.###...#........#..#..#.#..#.......#..#......###.##....#.#..##.....#.#...#.....#....#.#............##...#...........#..#.##.#..#......#.##...........
.##.#.###..#........#....#.#.#..#.#...#.....#..##..#..###..#...#......#.....#...#...#.....##......#.#.......##...............#.##.##.#...#...#...#..##.....#.##.......###....#...............#........#.#####.......#..#.......##......#...........#........##......#....##...#...#.......#.......#.......#..###....#....#...#.......#....##.......#......#.....##...................##....#...##..#...........#....#.##...#.....###.....#.#..##...##..........#..##....................#.##..#....#.#.##.....##.#.###...#.....#....#....###....#.#...#..........#.........#.#.....##.....#.......#.#....#.#..##.....#..#.#...#..##......#.......#.#.....#.....#....#..#.............##.#....#.#..........##.....#....#...#.#......##....#.......#........##.#..#....#........#.......#..#..##..#####......#.....................#...#.....#...#...#......#...........#.......#..##....#...#....#..#.#...#..#.#.#.....#..#...###.####..##................#..........#.#.#..........#....#...........##...##.#..#....#...##.#.......#.
.#....#..#.#........#........#..#.#.#..#.#.#....#.....###..#.............####.#........##...###...#...#.......#..##..#.........##....#...#.####.............####..............#..#.....#.....#.....#.....#..........##.........#.......#...###...##....#.#..#...#..##..#.#......#..#..#....#.........#.......##..#.......#...#......##.#..#........##...#.#..#...................#...##....#...##.....#...#...........#....#...#.#.......#......##..#.....##..###............#....#........#.#...#..#.#.#..#........#.......#...#..#..#...#.....#.#...........#..#....#....#..#....#.........#....##.........###..#.....#..#..#....#.##..#..#..#.#................#.#..##.#...................##...........#...........#.............#.####.....##......#.##.....#...#.#...#...........##..#.......##.##...##....#...#.....#.....#....#............#.......##.............#..#.#..##............#....##..#.#.......#...##.....#.###....###..##.....#..........#.........#.#.............##...........#.#.##.##.#......#.##.......#.#.
..#.#..##..#.....#.......#.#.#..#.#....#........#...#..##..#..........#..#.##.#..#.#...##..#..#...#.#.#..#..##...#...........#.....#.....#.....#.#.#.......#..#.........#....#......#..#........#........#.##.......####.......##......#...##.#...##..#....##...#..#..##........#..#.........................#......#........#..#.....##.##........##...#..#.#..#..#........##........#..........#.#..............#...##...#...#.#..........#.####.##.....##..###.#...........#.........#.#..##..#...####.....#.....#....#..#..##..#..#..###......#..##.#.....#.#.........##.##.#............#......#....###.#...##..#....#.......#...#...#.#..#...#.....#........#.#...#.........#..##.#....#.....#.......#.....#....##..#.#.....##.#..##................##....#....#....##..#...#.#..#....###..#..#......##....#...#.........#......#.....#......##..#...##......##.#...#.#.##.###.#.#...#.......#.#...#.#..#.......#.##.....###.##...#...#.....#..#...#...##.......#.........#..#.#..#................##..#......#......#........#
.......#.#.......#.......#..........#.##.#......#..........#...#......##.#.###..#..#...##..####...#...#....####...#...#.....##.#..##....####........##......####......#......#......#..#.....#..#..#....###.#..................##......#..##.##....#...#.#...#..#..##....#....#....#..#...##......#..#.....#.##.....#...........#....#...#.##.#..#......##.#.....#.#........##..#....#.....#...#...........#........#.##.........#.#.#...#.#..#.........##.#..#.#.##.........##...##....#.#..##............#..#..#.##..#.#..........#.#..##.......#..#..#.#...#..#....#.........#..#......#..#.............#..#..#...#..#.#...#..#.#.....##.#..#.........#....#.....#..#..........#..##.#......#...#......##......#.......#.#......#.....#......##.......#.###.............#..#...#...##...##.#....#..#....#.......#.......#....##...#......#..#....#..#..#.#.............#.#.##.....#.....#....#..#.#..#..#..#....#..#.#....##..####..#.#..#..#...#.#.......#..................#...#...#................##.#..#......#............#.
###.#.##.#.#.....#.......#......#.#.#......##..#......#.#......#......##..##.#.....#.......#......#........##.....#..##........#..#.......#....#.#...........#.#......###....##..#..#..#.....#..#..#.....#..#.......#.#................#...#..........##....#...#..##.#..#....#...#...#...#.......#..#....##.#.#.....#...#......#...#....####.#.....#.....#..#.....#.........#..##...##....#....#..#..#......#...##...#........#..##.##..#.##...#.......#..#..##..##...#......#...#.......##.....#.##..#.........#..#..............##....#............#.......#..##.......#...#..............#.....##.....##.#.......#..#.....#..#.#..#...#........#.....#....##..#.#..#..#...................#..#.........#.....##.......#.#.....#..#...#.......#.....##...##..##...#.....#..#...#...#..#.#..#.##.##.##...###.....#.......#.........#.....#..............#........##........##....#.#.#.............#..#####..........##....#.###.#...##....#....##.........#.#....#.....#.....#..###..##.............#.....#.#......#..#..........#
.#....###..#.....#..#......#......#.#.#.....#..##.....###..#...........#....#......##...#.###.#...#...#..#...###.##..###....##.#..##.#...#.#..#....#.....#..##........#..#.......#..#..#.....#........#..####........#......................##...##...#................#.#....#.#.##.......#......#......#....##.....#.......#......###....#..#..........##..#..##.#.........#...#..............##.##.#...##.#.#.##........#...#...#..#........##.........#....#..#....#.....##..........#.#.#...#.#...#...#...#....#..#.#......#..#...#..##......#.......#...#...#..........##.....#.....#.#.....##.....#...###.##.......##..#..###.#...##.#..#...#...........#..#..#..#.#....#..#...#.......##.#.#.............##...#.....#......#.....##.....#......#.#..##.......#....#............#...#..#.###.#.......##.................###...##.....#..#............#......##.........##.....#.#....................#.#.......####....###...#....#.....#.....#...#.....#......#............#.#..##...........#...#.....#....#.#.##.......#.##
##..#...##..........#....#.#....#...#.##.#.....#...#..###..#..........##.#.##...#...#..##.#.#.......#.#..#..####.##..#.#....#......#....####.##..#..##...#..#............#.......#..#..#.....#.....#....###.#.......####.........#.....#.........#.....#.#.###..#..##.#...#.......##......#.......#......#.....#.#..............#....#.#....#.#..#.##...#.##.........................##..........#.#..#......#........##...#...#.###.##..#.##..##...#...#.....#...#....#......#....#....#...........#.###..#.....#.##....#..#..##..##.#....#....#....##.#.......###...#...#..##.#.................###......#.#.#.....#..#.##......##.##...#.#......#...........#..#....#..#....#..#...#.#.....#..#.#.......#..............#.......####.#.##......#.....#....##..#....#.#..##..#...#.#.###...##..##.##......#.#.............................#...#....#..#..#.#......##.....#.####..#......#.#.......#..#.#####...#..#...#.#....#.#####...#......#.........#....##....#.#...#.....#........#...........#.#.....#.#....#............#...
..#....##..#.............#........#.#..#.#..#..##.....#....#...#......##........##.........#......#.#....#.#.###..#...##........#.##......##.............#...###......#.##....#..#...........#..........#.##.........##.........##........#.###..##...#....#.#.........#..................#.......#..#.......###....#....#...#......#.#............##...#.#........#........##...#...##..........#.##.#....#........#......#...#.....#...#.##.#.##.......##....##.#....#...........#....###..##..#.#.####..#...#...##..#........#..#..##...#..............#......##...#.#..#.#..#.........#..#....#.#.....#..##............#..#..###.##..##......#.#.....#.....#..#.#...#.#...........#.#..........#.......#.....#.................#...#.##.....#......####.#....#...#............#.#..#.#.##.#..####..............#.#.#.............##........#....#.....#.#......#....#.#.#.##...#.....#.........#..#.#.#.#...#......#.#......##.##..#....##....#.....##....#....#......#........###..#...........##...##..#.#......#.#..........##
.##.#.###..................#....#.#....#.#.#...#...##.##.......#.......#...##....#.##..##.##........#......#.###.##...#.....#...........#.##.##....#.....#.##....................#..#...........#.....#.##..#..................#.#.........#.....###..##....#.......#..#.##.....#..#..#...##......#..#...##...##.....#..............##.#..#.#......##....###...........#.........##..#..........##........#..#.........#...#.......#.##..#..#..##..#....##........##...#.....##....#.........##..#.###.##..#..##...###.#.#..#..#......#..#.#....#.....#...#......##...#...##.##.#..#........##.....#..........##.#...#..#........##..##..##.#..#...#..........##..#..#.#..#....#..#...#.#.....#...........##................#......#.#.##.#.....#......#.##.....##...#.#......#...#.#..#....#.#.####.......#.#...#...#.#.........#....#.....#..#...#..#....#.......##...#.#..#...###...#.#.#....#..#..#..#.#..#.#.......#.......#.#....#.......#.....#..#......#....#.#.#.#........#....##..........##.#.##.##.............#.....#.##
###.#....#.#.....#.......#.#..........#..#..#..##..#..#........#......##.#.####.##.#....#.###.....#.#......##....##..##......#.##.#..#...#.##.#..#..#........#.........##.....#..#...........#..#..#.....#..#.......#..#.........#.....#....#.#...#....#.#.##.........##.#....#.......#...##......#..#.....#.....#..#...........#...#..#..##..#....##....###.....#...............#...#.........#.#..#.#...##...................#.##...#..#..#.####.#.....###..##.......#................#..#.#.....#.#..#..#...#....##.#....#.........##........#.#.....#.....#..............#......#.....#..#......#.....##..##.##.....#..........#.#...#.......#.#..........#.....#..#.......#........#....##..#...............##....#............#..###......##.....##........#...#....##..#...#.#.##....###.#.#.#.##...##....#.............#............#.......#.#....#.......#..#.#.....##.#.....#.#..................#.#.#..#.....#...#.##...#..#.#.....#..#..#..##...#.....#..#...#........#.#..#...........##...##.........#.#..#.#.....#...
.##.#.##...#.....#..#....#...............#..#...#..##...#..............#.#....#....##......###....#.#......#.###.....##.........#....#....####...#.#.....#..##.#........#.....#........#.....#.....#....#...........####..................##..#..#.#...#...###..#..#...#.##.....#.........#.......#..#....##........##..........#....###.#.#..#..#.#.....#.#.#..#...........##..#.#..#.....#.....#.##..........#.##.#..#.......#.....##....##.#.##..#.....##..##..#....#.....#....#.....##...#.....#.###...#..#.....#....#..#...#...#.#..##..........##.......#..#.........#..#.#..##..............#.........##...........#...#...##..#..##.#..#.#.......#........#.##.##......#..#.....#....###.#.........#.....#.....#..#........#...###......#.......##...#...#...#....#.......#.#.#..#..#....#..#..#...#.#...#.#...#...#...#...............#....#.##...#..........#.#.#..###..#......#.#....#.....#.#...#.#.#.....##......#####....###...#....##.#..##...##....#....#.#.....#..#.....#..........#..#..#...........#..#.......#..#
##..#....#.#........#....#.#....#.#.#..#.......##..#..##..............##...##....#......#.#.###.....#....#.#..#........#....#..##.#.....#..##.#..#.###...#...#.#.......##.....#.........................###.#.......##...........#........#.##....#...##.#.#.#..#..##..#.##...#.#.....#...##..............#...#..........#...#..#.....##.#.#.......##...#....#..#..#........#...#....#.....#.....#.##......#.#.#.#..#..#...#...#.........#....###..#.....#.#..#.#......#.....#..........##...#...#..#.#.......##.#..##...#..#..#......##..##......#..##...#.....#.#.....#.##.#.....##.......##....#......###.#.#..#........#..#..........##......#.#.....#....##..#.##..#...............#......#.................#....##....#.....###..##.#............#.#..##...#...#.#...#........#...##.##.#.###...##...#...........#.........#...#.....#........#.......#...............#..#..##.....#...........##.####....#.....##.....#.#.##.#....#..#.....##....##...#.....#..#.#.......#....................#.#.....#.#........#........#.##
......#..#..........#....#.#........#....#..#..##..........#...#......##...##.......#..#..##..#...#........#.#.#.##..#.#....##..#.#......####.#.....#........#.#......#..#...#...#.....#..................###.......#...........#..........####........#.#...#..#..#..#..#....#.#.##......#.......#...........#......#...#...#........#....#.....#.......#.......#...........#...#.........#...#...........#...#.#....#....#.....#....#..#.#..####.##....#.#...#...#..........#...#......##..##..#.##.#.#..#..##...##...........#..#.......#......#...#...#.....##...........#..#..#........##....###.....#...##..........#......#.#.....##......#.......#....##..#....##.........#.....#.....#..#.........#......#...##..........##.#...........#.....#.#......#....#....#...#...#....##..#..#.#.#.........##.....#.#.#...#...##.....#....#...#...##.#...#.#......#....#...####.#.#.#.#........#..#....##..#...#..#..#..#......#.#.#..##...#..#..#..#..##.........##...#...........##..............##.......#......#.#..#.........##
#.#....###.......#.........#....#.#....#....#.........#...............#...#......#.#...#...#........#......##.#..##.........##..#..#......######...##........###......#.##....#..#..#..............#......#...........##...............#...####..###..##....##..#...#.##........#..#......#.......#......#....#..#..#....#......#....###.#.#.......#....##.#....##..........#...###..#...........#..#.#......#.#......#....#...#..#..#........##...##...#.#.....#......#.....#....#........#.#.....###........##...###...#..#...#.....#...##......#.......#.....###...#....#....#.........#.##......#....#.#.#.#.##.....#.........#...#..#..#..#...#...........#....#..#..........#...#.......##.#.........#.....#....#...#.#.....#.##.##.......##.........##...#......#..##........#.#.#.....#..####.##.........#.#.#.#.......#.#...#.....#...#......#...###...........#..........#...#...#....#....#....###...#..#..#.......#....##...#....#.#...#....#.....#.....#.#.........#...##...#...........#....#.##........#..............
#..........#.....#..#......#.#.........#.......##..##.#....#..........##.....##.##......#.........#.#....#...###.#.............##.#..#..#.#..#.#.#.#.#......####......#......##..#..............#..#..#.##.#..........##........#..........#......##..##....#...#..##.##.#....#.#..#..#...................##.#.#.#..#....#...#..#.....##.##.#.#....#.......#.....#.#........##..#.#..#..........##.#.........#.#.##....#...#.....##..#......#.#...........##....#.#...............#......##...#..#....#.#......#...#...#.#..#......##.##.###....#.#..##...#...#..#....#.........#.........#.......###....###.###.#........#...#..#...##.....#..#.#.......#........#..#.#..........#..........##..#.#.......#...........#..#.#........#.#........#..........##...##........##..#...#....#.#.###........#.....#....#.#.#.........###...##....#...#...##.....##.......##.#.#...##.#.###...#...#................#......#....#....#####.....#.....#.....#....#.....#....##..............#.#...#................#.##.#....#.#.##.......#...
##..#......#........#....#........#.#..#.#............##...............#.#.#..#....##..##.###................###..#...#.....##..#..#....#.##...#.#.###.....#.##.......##............#..#........#.....#.##.##.......#.#........###.....#.....##....#...#...##...#.....#..#....#...........##.............#...................#..#.....##..###.#..#.##...#.##.......#........##..###..#.........##...#.#....#...#.#..#.#....#...#...........##.#....#....#.#.......#...........#..........###.#...#..##.#......##.#..#..#.#..#..##...#.##...#....#.#...#...#...........#.#....##...........#..#....#......###.###.#.........#..#....#......#......#.......#.....#..#.#...#.#..........#..#....###...........#.....##...##..........####..###.....#..........#.....#...#....#...#.......#..#.#.#..#####.##...##..........#.............##....##..#...##..#...#.......##.#.#...#....###.......#.......#....###...#.#.....#.##...#..#..#...#....##..........##...###....#.#.#.......#..##................#.#..#.##......#............#...
##..#..##....................#..#.#.#......##.........##...#..........#....##...#..#......#.##......#.......##.#.#...##.....##.##....#..##....#............##.##......##.#...#...#..............#..#.....###...........#..................##.##..###.....#.#....#..#..##.#....#.#..#.....................##..##.....#........#........#...##..#..#.##...####.#.....#...#.....#..#....##....#....#...#.#....#...#....#......#......##..#........#.#......####....#..#...#......#...#.....##.#.#...#..###.#..#...#.#..........#...#..........#......#..##.#.....#.#.....#.#.......#...#.............#.#.....#..#.#.....#..#..#......#..#...##.#....#.......#........#.##..#......#..#..........##...................#.........#........#.##.#.....##.....#..#.#...##........#...#...#.#..#...###...#.#.........#...#.#.......#.........#.....##......##......#.......#......#.#.#..#.......#......#.......##..#...#.......##.......####..##...#.....#.....#......#...#..#..............#...#...........#.#.#..##........#..#.#.....#..#
..#........#........#....#.#.#....#.#....#..#..##.......#..#...#.........##.#.#..#..#..#..###.#...#.#....#.##..#.##...#.....#...#.##....##.#.###.#..#....#.##.##.......###....#..#..#..#.....#..#..#..#.#####..........#........#...........##...#.#.......#.#..#...#.#............#.................#...#...............#.............#.#.#..#..#..#...###..#...#.#...#....##..#.....#.........#.....#......#.#....#......#......##..#....##............###......#...........#...#........#..#....#...##......#.#.....#.......#....#..#..........#...#.#.....#..##...#....#.##....#........##....#...........##.##........#.....###...........#.#............#.....#...#......#.....#.............#.......#.....#..........#.....###..#........##.....##...##..##.....#..##........#.#..#.#.##.#.#...##...........#...#.......#.#...#.....##......##.##..##........#.#.#.#..#.#...#.#.#.#.#.......#.##.#####...#..#...###...#.###.##..#....##.......#..##..........#.#.........#..###..##..........##.#..#.#.......#.#..........#.#.
..#.#.#.##.#.....#.......#...#..#.#.#...........#..#..................##.#...#..##.#...#....#.....#.#.#..#..#.##.##....#....##.#.........#.#..##....##...#.#.#.#.......#.....##..#..#..#...........#......##........#.#........#.#........#.#.#.......#....##......#......#...............#..........#...#...##..#..#........#..#...###..#.##.#....##...........#..#............###...#....#.....#....#...#......##....#.........##..##....#...#...#....#.....#........#.....#.....#.........#...#.#####...#...#.#.#...#....#..##..##.....##....#.....#.#.....#.###...#....#.#......#........#....###....##...##..#..#...........#...#...#.......#.#...........#.....#.##.#.......#..........#...#.#......#.......#...#.....#.......##.##.......##.....##.#.#.............##..........####.......#....#....#.....#.....#...#.........##........#....#..#............#.#.#.....##.#.#...#.#.#....#.......#.#...#.#..#...###....#######....#...#.#...#....#....##.....#...#............#...#..........##.#..#..#.#......#.#........#.##
###.#..###.#.................#......#.#..#.##..##..##...#..#..........##..#.##..##.....#.....#....#.#....#.#####.....#.#........#.##.#.....###...#.........#.###......#.#....#..................#.....#.###.#.......##.........###.....#...##.#.............##..#..#..#.......#.#.....#...........#..#.......#.#.#..##..........#...#..#..#...#....#.....#.#.#..#..#........#....##..#.....#...###..#......#...#.#.....#...#.............#.#...#.........##.....#..#...#.....##...#.......##.##......###......#....##....#..#..##..#.....##.....#.......#.#.....###.....#.##..#.....#.....#.##....#......##....#..#.....#.........#..##...#.#..#.#.#..............#..#.##.............#.#.....##.................#....##....#......###...........#......#.##.....#.....#......#........##...##...##.#......#.....#.....#.........#...#....................#.........#.#.#.#...#........#.............##...##..#.#..#..#.##....#.##.##..........#..............##...##...........#....#...#..........##.#.##..#.#....#...#............
..#.#...##.#.............#.#.#..#......#....#..#...##......#.............#.##...#...#...#...#.....#...#.....####.#...#.........#..#..#..##.#.......###...#..#............#...##.....#..#...........#..#...###.........##.........#.....#...###...#.#..#......#.....##....##...#...#........#.............###...#....##...#......#...#....#..#.#....#....##...#..#..#........##.......#.........##...#.....##...#.##.#.##...#...#..##..#..#......##..#.....##.................#.....#.....##..#...#.##.##.........#..#..#.#.....#...#...#.#.#.........#....#.....#.....#...#.....#..#.........#....###..........#..#.......#...#..#....#..##.#.................##..#.#...#......#..#..##.......#..#.........#.....#........#.#.....##...#........##.....#.##.##...#...#....##..........###..####.#..#..##...#.#...#.....#...#....##....#....##.......#..#..##.......#..#.#...#.#....#.#.#...#.........##....##.........#..#....#.#.#.........#.....#.....#......#...##...#.......#..#.#..............##...#..#.........#....#.....#..#
#.#.#..#...............................#.#.##...#..##..##.............#.....#.#.##..#..#..#..............#.#..##..#..###....##.#...#.#...####....#..##.....#.###......#..........#..#...........#.....#.#.##.........#...........#..........##...##...#..#..##..................#..#......#.......#......###...#....#........#..#....###..###....#..#...#........#..........##...#...##....#...#.#..#......#.#.#..#...#....#...#...#.##..#..#.#.##.##...#.##...#.......#.....##...##.....###.........#..#..#..##.#..##.#....#......##.#..###....#.....#.#.#.......#...#.#.##................##......#....#.#...#..#..............#.#.#...#..#............#..............#.#.......#..........#.#.#................#....#....#......#....###......#......##.##....#........##........#.#.##.####.#..#..#......#...#.#...#.......#.#....#.....#.......#.......#......#....#.#.#.....#....#...#....#....##.##.#..#.#..#.....#...#.##.#.....#......#.....#...#.....#...#...............##...#...........##.#.....#......#.#....#.....#.##
..#...#..#.......#..#....#...#..#.....#....##..#....#.##...............#.##..#...#.#...#......#...#......#...#.#..#.........#..##..#....#.#..#...#.#.#.......#.........##.....#.....#..#.....#..#.....#..#..#.......#..........#.#.........##....##...#..#.###......#..#.#....#...........##.............#.#.##..#..##...#..........#..#...##.#..#.#.....##..#..#..#............###.............##...............##.#.#....#......#..##..#.#...#...##....#.#..##..#....#.....#...........###.#...#...####......#.#.##..#.......#....#.#...#..........##.#.....#.##.................#......#.##....#..........#.#.##.......#.......#...#..##.#..#...#.....#....#...#.##.#..#....#......#......#............##......#...#............##..####............#...###.......#.#..##......#.....##...##..#....##...#.........#.#...#...#.....#.........#...#..#...#........##.#.#....#...###.#...#.#....#.......#####.#.#......###...#####.......#..#..#.....#.......#.#...#..#.#..........#.#..#............#.#..#.##........#..#.#.......##
##..#......#........#........#..#.....##.......##...#.###.............#...#.....#..........#.#......#......#.#...#...###.....#....##....##.###...#..##...#..####......##.#...##..#..#..#........#..#..#.#.#.........#.#........##.........##..#..###..#....#.#........##.##...#.#..#..#...##.............#...#.#.#...#..............##...##...#....##......#....##..........#...##....#........##..#..#...##.#...##.#.#...............#..#.....##..##....#.#...#..#.....................##.#.##..#.#.#.#.......#.....#...#......#..##....##.......#..#........#.##....#.#.#..##.#..##.......##.....#.....#.#...#.#...#....#...#......#....#......#.#..........##..#.##..#.........#..##......##..#.#......#.................#.....##....#.#.....#..........#....#......#...#......#...####.#.......#.......#.....#...#.........###...#.............#..##..#........#..#.#........#...#...#.#.........##...#.....#..#..#.##....#..##.#.......#..#..##....##.....#...##.#...#........#....##...........#..............#.#.##.#.....#...
###.#.####.#.....#.......#......#...#.##...#.......##.#...............#......#..##.#...##.#.##....#......#.##.#..##....#....##..#....#..#.#.###....###...#.#..##......#..#...#...#......................#.#.#.......###.........##........###......#.....#.#.#..#...#.##.#....#.#.#...#..............#.....#..#..#...#...#...#........##.##.#....#.......#.#.#...#.#...#....##..##.........#...###........##.#...#..#..#..........#..##..#.#..##...##....#....###..#.........##....#....##.#.#...#..#..##........#...#.#....#..#...##...........#.#..##.#.........#.....#.#..##.#...#........#....###........##..#...#........#..###..#..##........#.....#..........#..##......#......#.#....#...................##....#..#.......##.#...##.....#.......#..##........#.#...#............##..###..#.##......#.#.....#.......#....##...#.............#...#...#.......##.#.#...#..#...#.......#.........##.##..#...#..#.....#....###.##...#.#..##.......#..##...###...#....#.#.....#..##....#..........##.#.......#....................#
###.#...##.#.....#..#....#.#.#....#...##...#...#...##...#.............#..##..#..##.#...#.....##.....#.#....#####.##..##......#.##..#.#....###.##...#.#......##.#.......##........#..#..............#.....#..#.......###........##......#..####....##..#............#...#......#...##..#....#......#..#.....#.#.#....#...........#.....#..#..#....#..#...#.##.........................#.........##..#......##.....#................#...#..#..#..#...........#...#..............#....#....####.....#..##.##.....##.......#........#..#...#..##....#.....#...#......#......#..#..#....#......#.##.....#.......#......#..#..#.##.....#...#...##.#..#...#.....#....##....##.##......#..#..##.#......#...#..............#.........#.....##.#..#.#.....##.....#........#......#..##..#...#.....##....#...##........##.........#.........#....#....#...#...#..##..#........#....#...##.#.###.#.#.#...........#..#.###......#..#.##.........#...##......#..#..#..#..........#.................#..#...........#....#..#..#....#...##.#........#
....#..##..#.....#..#....#..........#....#......#..##.###..#.............#.#....#..#...#...#.##.......#.......#..#...##............#.#...#.........#........#..#......##.#....#.....#..#...........#....#............#.................#..#.###..##...#..#.##...#.....##..........##..#...........#..........#.#....#................#....#.#.#....#..............................#...#............##........#......#.##..........#......#.##.#.#...#...###.......##.........#....#.....#........#.#.#.##.....##.#..#..........#.....................#..#.#...#.#.#...#.#..........#.........#....#..........###.##..#..#.##......#..##...#.#....#.......#........#...............#..##......#.#..........#......#....#................###.............###.##...#.........##......#.#.##...#..#...#...##...###.....#.......#...##....#.....##..#....#.#.....#......##.#..........###.#..........#.....#.#.#.#.#....#..#.#....###.####....#...........#..##...##.....#.....#........##....#..........#..#..#.#..#....................#
##..#....#.#.............#...#........#..#.........##..##..#...#......#.......#........#..#.........#.#..#.#.....##..#......##.##....#..##..#..#.#.##....#..#.........##.#....#..#..#..#.....#..........##.#........#...........#......#..##..#...##..#..#.###........##.#........#...#....#......#........#..##.#..##...#......#....##..#....#.....#...###..#...#.....#....##..###..#..........#...#......#.#...##........#...#.#.#.##....##..#....#...##.#...#..##.........##...#.....#..#.....#...###.........#..#..........#......##..........#.....#.#.....##......#.##....#..##.......#.....##......##.###.##.......##.......#.##..#..#....#.#..............#.#.....#....#.....#.........#.#.#......##......#...#.....#.......##..#........#.....#..#..#...#...#.#...#......#.#...#.....#...###.#.....#........#.#..............#........#...##.##..#.#......#....#.....#..#...#..........#....#...#..#.........#.......###.#.....#....#.#.........#...#.#....#...#..........###..............##....#..#.#......#.#..#.......#.
..#.#...##.#.....#..#.............#...##...#...#...#...#.......#...........####..#..#...#.#####...#......#.##.....#..###....#..#..#..#..#.#.........#........#........#.#....#......#..#........#........#.#.........#.#..................#####....#...#.#...#..#...#..#..#...#.#.#...#...........#.......##.#......#....#...#..#.....##.#.......#..#...#..#.#..#..#...#..........#...#....#.....#....#....#......#.#..#...#...#..#...#.......#...........##..###.#....#.....#..........##....#.......#.#.....##.#..#..#....#..##..##.#...##......#.......#.....#.#...#.#....##.#..#........#.....##.....###.##...#.....#........##.........#....#................#....#.......#......#......##..#.#.......#......#....#..........##...#...............#.#####..#......#...#..#.........#..####.#.....##....##.....#.......#.....#....#........#....#.#....##...........#....##..###.#.....#.......#.#..##......#..#..#.##...##.....#..###........##.#..##...#.#...##.#...#.....#..##...............#..#..#.#..#....#...##.........##
#.#.#.#.##.......#.........#.#......#.##...##..#...#..##..............#..##..#...#.##...#...........#.#..#.#.#...##..##.....##....##.#....##..##.#....................##.#....#..#.....#.....#..........###.#.......###.........#......#...#..#...##.......#....#...#.##.##.......##......##......#..#...#.#...#.#..#........#.........#.........#......#....#..##.#............##....#....#...............#......#.#..#...#...............##..##...#....#.#..#...##...#.....##.........##.#.##..#..##........##.....#.........#......#..##.....#....##...#.....###...#.#..#.#..#..#.........#....###....###.#...#......#..#..#...##.....#.......#.#..........##..#.#..##.#.............#....#............#............#..#.........#..##........#........#.....#.........##..#............##.#.###.#.##.....#.....#.#.....#.....#....#.....#..#....#..#..#.#......#....#.#...#..##..#.#.............#..#.###...#..#..#..#.....#..#.#...#...##....#..........###...##...#.#........##...............##.#.#.....#....#.#.#..#.....#.##
###.#..#.#.................#....#.....##.......##..#...#.......#......##..###.#.#.......#.#.#.#.....#.#..#..#.##.....#.#.....#....##.#..###..#.#...#.#...#...###......#.##....#........#...........#....####........#.##.......#.#.....#....#.#..###..##.#.##......##..#..#...#...#...............#......#.....#....#........#..#....##..#.##....#.#....##......##..............###..#...........#..#..........#.#.....#.......#.........#.........#....#.#.....#..#...#......#...##....#........#..###.#..#..##.#.##.......#.........#....#....#.....#...............#.#.##..............#.##....#.#....#...#...##..#..#..#..#..###......#.#..#........................#.........#..##.#....###...#..............#.........#.....#......##.....##.....#....#....#...#........#.....#.#.##.##....##...#....#.#...#.#...#....................#..#...##.......#.......#.#...#..#.#...#.#.............#..#..#..#......#..#..#...###....#.......##.#........#....##....##..............##...#............#......##......#.#....#.......#.
#.#.#.#.##..........#....#...#......#.##.......##...#...#......#............##..#...#......#.##...#......#....#..#....##....##.#..#..#..#.#.####.#.#.#.....#..#.......#..#...#...#...........#..#..#.......##..................#.#........##...........#...##......##.##.#................................#..##..#.......#......#...#..#.##......#..#....#...#...#.#...#........#.#..#.........#.#........#....#.#..#..#.........#....#........###.........#..#.#.#....#..........#.......##.##....#................#..#....#...#..#...#........#.#...#.......#..##.......##.#..#...#..............##........#...#...#..#.##..#...##..#..#.....................#.....#....#....#.....##.#.....##.#.#.............##...##..#.......##...##.#.....##.....#.##..#...#...#....##........#...##.#.##.####...#...###.....#...#.......##.....#................#....#......#....#...##...###.#.#...#....#..#...............#...#......#..#.#....#...##....##.........#......#.....#........###...#..........##.#.#..##.....................#.
.#....###........#.........#......#.#.......#..##..##..#...#...#..........##..#.##.....##.#.###.....#....#.#.###.##..#.#.....#.##.#..#..#.#.##................#.......##.#....#..#..#..#.....#.....#..#....##........##.........##.....#..#.###..###........#..........#......#...#........#......#......#.#...#....##...#...#..#....###.#....#..#.##...##.#....##..........##..##..............#..##.....#..#......#.##...#.....##......#.##..##...#...#..#..#.#.#................#....###...#.....#.#....#..##...###.#.#..#...#...#.#..#.#....#.....................#.#.....#....##.......##....##......##..##..#.....#.#.......##.#...##.#..#.#.#...........#.....#.##.#.......#...#.#.....#....#......##.....#.....#..#.#.....#.#..#........##.....####..........#.#...#........#.#....####..#.##..#...#.....#.#...........#.#...#......#.......#.#.....#......#..#.#...#.##...........#....#..#.##..##.#.#........###...#..##..#..#.....#.#..##.#..##....#....##.#.#.#.........##..#.............................#..............
.##.#......#.....#.......#......#...........#..##...#.##.......#..........##.#..#...#...#.#..#...........#.#.##..#.............#...#.....#.#..##.#.##......###.#.......#.........#.................#......##........####.........#...........##....#.....#.##......#..##.##...#...#...#...##......#..#.....#.#.#.#..##...#...........##...###....#..#......#.#..##.....#....##..##...##........###.............#..#.#..........#..#......#.#...#.#.#......#....##......#.....#....##....##.#.##..#.#####......##.#.#.#.#.#.....#...##.##..##.........#..#.....#.#.......#....#.....##.......#......##.....##.....#...#........#...#..##..#..#....#.#.....#....#...#.##.##......#..#.....#....#.#.#.#.......#......#....#..#........#.....#................###...#......#..#...........###...###....##.##...#.#...#.#.#.#...#.........##....##.......#.##...#.......#..#...#.##.#..##.....#.#....#..........##......#..##.....#..#......#.#..#..#..##.....#...#.....##.#............###..............##....#....#......#.#........#.#.
.#..#.##.........#.........#....#.#...#..#..#...#.......#..............#..###.#....##......##.#.....#.#..#...##......###....#..##.#.....##.###.#...#.#...#.##...........#.....#.....#........#..........#.###........#.........#..........#.##...###..#............##.........#.#.##.......#.........#...###...#.#..#....#...#..#...#.##..#...#..#..#......#.#...#.....#....#.....#..#.........###....#......#.#.#..#..#...#...#.#.......#.##..#.#.......###..#.#......#.....#.....#....#.##.#...#.###.....#..##.....#......#..#...##.##.##.......#..##.#.#...#..##.....#..#..#.#..#........#.....###............##..#..#.....#....#.##..##.#..#.#.............#....#..##.#....#..#..##.#.....##...#......#.......#...##..........####.####......#......#####....#...#............#....##..#.##.###.#......###.............#...#.#...##....#...#....#.#....##......##...#.#..#....#....#.#.........#.##..##.#.#.#......##.....#.#...#................#...#....##......#.#...........##..##..........##.#..#..#...........#.......#.#.
#.#.#...##.......#.......#...#..#...............#...#..##......#......##..###....#.#.......##.#...#.#....#..#.#..#...##.....#..#..#.....##.#..##....#......###.#.......#.#....#........#........#..#....###.#.......#..........##.........#####..###.......###......#.#...#........#..#..................###.##..#...................##.....#.#..#..#...##.#.......#.............##...#........##..#.........#........#........#.#...#......#.#.##......#..#...#.......#.....##....#.............#.#..###..#.....#.#........#..#...##..#...#......#..##...........#........#.#..#..#......#.......#.......##.#.#.##.....#........#...##..........#..................#..#..#.......#..#..#........#.#......#...........#.....#.......#..##.#......#.......##.##..#....#.#......#...#....###...##.#..##.#.....##.....#.#.#...#....#.....#....##..#......##..###.......#.#.#.#....#..##.#.#.#.........#.##.......#.......####...##..##.#..##...#......#....#....#.#...##...#.#........#....#...........#....##..#..........##.#.....#..#
#.....##...#.....#.......#...#..#.#.#.#..#.#....#..#....#..#..............####...#........#.###...#.#........##...#..#............#..#..###...##....#......#.#..........#.....#..#..#..#.....#.....#......#.........#.#................#..#.#.........##.....#......#.##.##...#.#..#..#...........#..#....#......#..............#...#.#...##.....#..#.....##....##..........#...#....#...........#.##.#........#..#.#......#.....###.#...#.#...###..#...##.#...#.......#.....##..........###..#........##.....#....##....#..#..........#........#.#..#....#...#.......#....#..#.#...........#......##....##..........#..#.#.......#..##..##.#....#.......#........#..#.#..........#.....#.....#...........##......#....#....#.............#.............#####....#...#........#...#....###.#......##..##.....#.......#..........#.....#....#..........#...#.#......##.#...#.####.##..#.#.#.#....#.....#....##.#.#.....###.....#..##.#...##...#.#..............#....##.#...#.........##..#...........#..#....##.#........#........#...
.#....#.##.#......................#....#.#.#...#...#..###..#...#.......................##.###.#...#........###...##..##.....#...........#.#...##.#.#.......##.#........##....##........#.....#...........##.........#.#........#.#.........##....#.#..#..#..#...#...#....#....#.#.....#...........#..#....#..#.#.#.......#......#...#.##.##.............####.....#.#...#....##.......#.....#....##.........#.#....#....#...#.....##..#.....#..###..##......#...#.......#...........#....##.#.....#...#.##......#...#.....#.....#....#.##.##.....#.......#.#......#......#.#..#..#..#........#.....##.....#.#...#.#...#...........#.#.#....#....#...#..........##..#.#...#.#.......#...#.#.....##.#.#......##...........#....#.....##.#.##.......#......#...#.....#.....#..##..#.........#..#..#..#.#.........#...#...#.#........##...#.....#...#...##..#...##......#....#.#.####.###.#.#.#.#.......#....#.##....#..#..#........#..#.#...#...##.....#.#..##...###...#..#.#..........##...#............#.#.##.#...........##..........#
.##.#.#.##.#.....#..#....#...#....#...##...##......#...##..#..........##..#.#.#....##.....#.#.......#.#.....#........#............##.........###.#.##....#....##........##...#......#........#..#.....#..#...........#.........###.....#...#......##..##.#..#...#.....##.#........#...#...........#..#...#.....#.........#...#......#.#..#..#...........#.#.....##.#.........#..#.#...#....#...###..#......#.#.#.##...##...#...#.#............####.#.....#.#.......#..........#...##....##...##....##...#.....#..#..#.......#..##..##.#..##.....#.......#.....#.#.#...#....#..#.#..##...............#....##..##...#........#..#......##.....#..#.#.#................#...#.#....#......#.#....###.#.#.............##....#....#........#.####............###.###...#.........#..#...#........##.#.#.###..#...#.....#.#.......#.....#..........#..............#.......##.#........#...#...#........#........##.#.#........#.....###.#.##..###..#.....##.#...#....##...................##...#...........##....#..#.#......#.##.#.....#.##
#...#.##.........#.......#...#..#.....##.......##..#..##...#...#......##..#####.....#..#..##..#.............####.##............##....#..#..#..##............####......####...#...#..#..#........#..#....##.....................#.#........####...........#..........#.........#.#..#..............#.......#..#.#....##..........#................#.##.....##.#..##.#...#....#........##.........##..#.#...#....#.##.#.#........#.#...##....##.#..#.......###..#...##.........##....#.....##..#...#.######........#..##......#..#...##.#...#.......#.......#......##...#............#......#..#....##.......#.#...##.....#.#........#.#....#......#.#.....#.....#..#.#...#......#.....#..#.....##.#.#......##.....##....#....#........#...##......#.....##.##.........#.#...#..#.....#...#..####.####...#....#........#.....#...##....#......#..#...##.....###......##.#........#.###.#...#.#..........#.#.....#....#..#......###.####..##...##.#..#.....##....#....##.#...#........#.#...#...........#...##.##......#....#.#.......##
.#.....#...#.....#..#........#....#.#.##...##..##..##..##..#...#......#..#..#......#...#..##.##.......#..#..#.##..#..#......##.##....#...#.#.##.....#......#.##.......##.....#...#...........#............#.........#.##.......###..........#.#..#....##.....#......#.#..#........#........#.............##...#..#..................#.##.####.#..#.##...#..#.#...#.#........##..###..#.....#...#...##..................#...#.....###.##....##..###.#......##..###..#.........##....#.....#...#...#.........#..#.....#....#..#..##..#..##.#........#..##.#.....#.###.......#...#.#.........#.##.....#.....##....#.#............#...#...#.....#..#.#.......#.....#..#.....#......#..#...#........#...#......#...........#.............##.#.#.................#.#...#............#...#.....#..###..#...#.#....#.#.....#...#.......#.....#.........#..........#.........#.#.#.#.#.#...##.#.#........#..#..#.#...#.#.#..#..#.#....##...#.#...#...#..#.....#..#....##.....#.#...#..........#..#...........##....#.##..........##.......#...
.......###...................#..#........#......#..#..#................#....###....##..#..##........#.#..#..###..##..##.....##.......#...#.###.....#.#.....#..#.......#.#....##........#........#.......#.##........#...........#.........#..##..#..........##......#.##.#......#.##..............#..........###....#....#......#...####...#..#.....#.....#......#.....#....#....#....#....#....##.#..#...........#.#.#....#......#......#....##.#.#....#..#..#.#.#....#.....#....##.......#.##......####..#..##.......#.#.........##.#..###....#.......#.....#..#............#.#...........##....###....##...##.##..#..#..#..#.......#..##.#..#.#.#..........##..#.#...#.........#.....#....###..........##.....#.................###..##......##.....#...#.#..#....#.#..........#.#.####....#.####...#...#.....#.#.#.#.........#....#....#...#...##.#............##...#...##...##....#.#...........##..####......#...#.#...###.#.#...#................##...#..........#............#...#.............#.#..##..........#..........#.
##..#.#..#.#.....#..#......#....#...#.#..#.##..##...#......#...#.............##.##..#......####.......#....##..#.......#....#...#.......#..###...#.##.......#.##......#......#......#..............#.....###........####........##........#.#.#...##..##...#.#..#........##.....#.##..............#..#.....#.##..#...#...#...#......#..#.#..#....#..#......#.#..#......#....##....#...#........###....#...#..#...##....#.........##...#..#.##.####.##...####......##.........##.........##...##..#.#.###.......#....##.#.#..........#.##...#....#.#..#....#......##...#...#..##.#..##.......##.....##........###.#........#......###..#...#.#..#....................#..##.#.......#................#..............................##.#.##.......#.......#.##.....#...#.....#..#........#.#.###......#.#....###...#.#...........#......#....#........#..#...#.......#..#.#......#..##...#...#....#.....#...##.......#..##.....#.........##....#.#.....#...#.........##.....#.....#..##...#................#..##......#.#.#..........##
#.....##...#.....#.......#.#.#..#.#...##.#..#.........###..#...#......##.###.....#.##..#.....#....#......#....#..#.....#.....#.##.#..#...###.##....#.....#.##..#........##..........#..#........#..#..#..#.............#.......###...........#...##...##.#..##.....#..#.........#.##.......#......#..#...###...#.#..#....#..........#..#....#.......#...#.##.#..............##...#.............###..#.#...##......#.#.#........#..##.##....#....##......#.#.......#....#......#....#....#.#......#.#####.......#...#...#.#..#............##.....#.#...#...#.....#.#.....#.......#...#.....#.##....#.#....#...#.............#.......#.#...........#.......#....#.....#...#.........#...........#....#.............##....#..#.#.....#.##..##.............###...#..##.....#...#..#.....#...#...##...#.##.##...###...#.#...#.......#.#....#.....#..#....#..#..#.#......##.#......#.#...........#....#....##.###...#........###....###.#....#....#..#..##..........##....#...#.#.........#................#.#....##........#.##.......#.##
.#..#.#.##.......#..#....#......#...#..#.#.....##...#..#.................######..#.....##.#..##...#......#..#..#.....#......##.##.##.#..#.######.#..##........#........#.#...##..#.................#..#...#.........#..........###..........#....###.....#.#...........#.#.........#..#...#..........#...###..#......#...#............##.##.............#........#.....#....#...#..............##.....#...##...#.##....#...#.....#.......#......#..##.....#...###.##...#..........##....##....#..#.....#...#...#.#.....#.#..#..#.........##.....#.#..#..#.#...#.###........#.#.....##.......##.....##....#.#.###........#.#...#...#.........#.......................#...#.#..........##.#....###.#...............##...##..#........#.#.##.......##........#.##..##.....#......#...#.....#..#.##.##.##.......##...#.....#...#...#.#...#.....#...#...##.##..#........#....#....###..##.......#..........#.#..#....#.....####.....#..###.......#......#.#...#....#....#....#.......#...##..#............#....#..#.#....#.#....#.....#...
..#.#..#.#.#.....#..#......#.#..#...#..........#...##.#...............##.######.##............#.....#.........##.##...#......#.#..#..#..#..#..#..#.......#....#..........#....#..#...........#........#..###..........##.........#........#.#.#...#....#....#...#...#..#.#........#...#...##......#..#...#.......#...#.......#........##.##.#....#......#.##....##.#........##..###..#.....#...###.##......#.#.#..#...#....#...#.#.#.#.....#...#.#..#...##.#....#.##.........#....##....####.....#......#..#.....#.###......#..#......#..###....#.#...#.#.....#..##...#.#....##.#...........#.......#....###.#.#.##..#..#.....#..##......##....#...#.....#....##..#.......#.......#..#.......###...#..............#....#..#.......#.##.#.#.............#####....##.....#......#...#....#..........#.#.#.....##.....#.#.....#...##...........#......#...#...........##.........##..##...#.#.#.......#..#.###...#........#........##......##...#.....#.#..##...###...##...#.#.....#...#...##..........##.#.##.##.............#.....#.#.
.......#.#.#.............#.#.#..#.#...#........##...#.###..#...........#.###.##...........#.#.....#.#.........#...#..##......#.##.#..#...##......#.###...#..###.......#.#....##..............#.....#....#.#.........##.#.........#.....#...##.........#....#.#.....#..#..#.........#.....................#.#.#...#..##.......#......#.##.##.#....#......##...#..#......#....##...##..##....#.......##.#...##.#....#...##...#.....##..##........##..##...##........##.........##.........##...#.......##.#..#..#....##.......#..##...#.#.........#.#..#..#.........#...#...#..#....................#......##..#...#......#..#..#......##..##....................#.......#..#....#..#..#...........#.#.......#......#....#..#.#.......#..#.........#......#...##..##.........#..........##.#.####.#.##..##....#..........#.......###...#......#..#...#..#....#.......#..#......#.#...........#....#..#.#..##..#...#.......#....#..#.#.........#.....#..#.........#...#..#.#..........#................##.#..#....#........#............
....#.###..#.....#..#.................#....#...##...#..##..#...#......##...#..#.....#.....###............#..#.#......#.#........#..#......##.#...#...#.....##.##......####...##.....#..#...........#......#.#..........#.......#.#.....#....#.#..#.#...#...........#.....#........##......##......#........#.###.#..##.......#..#....#....#......#.#.....#......##...............#....#....#....#..##.#........#.##.#......#...#.#.#.##.....#.####.#......#...#...#...........#..........###.##....######.....##...#.....#..#..#....#.##.#.#....#.#..##.#.#...#.##..............#...#........#....##.......#..#..##..#..#.##..#...##.#...##.#..#...#..............#.....#............#..#..........#......##.....##...##..........#.#..#..#......#......#####...##...#.#......#.........##...##.#.###......###.......#.........#.#...##.....#..#....#.....##.......##.#.#.#.##....##.#.#...#.......#.#..##.#....#.....#......##..##.#.......#......#.#..##....##...##.#.........#....#..#...........#....#..##.#....#....#.......#..#
.#....##...................#.#..#...#.##.#..#..#.......##..................#.##.##...........#......#.#..#.###.#.##..#......#..#...#......###.#..#..##......#..#......#..#...##.....#..#.....#..#..#..#...###.......#.##........#......#...####...##..#..#.#........#.##.#......#.................#.......#..#.#.#..##.......#..#....#....##.......#......#.....##..............##...............#.##.....##.....#..#..........#.##...#....##.##.#........#...###.##.........##...#......###.#...#.#.##.#..#..#..#.#.....#..#..##.....#...##......#...#.#.....#.###.......##.##.#..##.......##....##.........#....#..#.....#.......#.....##....#.#............##..#.#.....#....#..#...#......#............##.....#.....#.............#....#............####..#..#....#.#..#...#...#.#.#.##.##....###...#...##....#.#.#.#...#.....#...##.....#..#...##.#...#.................#.....##.#..........#..#.#.....#............##...#.#........##...#....#..#..#.....#....##...#.#.....#......................#.##..#........#..#.#.....#...
##.......#..........#...........#.#......#.................#..........##....#.#..#.#.......##.....#...#..#.##.#..##..###.....#.#...#.#..##.##..#....#....#.####.........#...........#........#.....#..#...#..........##...................####....##.......#.#..#.....##.##...#....#..............#..#...#.#.#.#.#..#........#..#.........##..#..#......#..#.#..............##...##...#....#...##..#..#...##.....##........#.....#.#.#...#.#...##.......#.....##...#...#.....##...#.....#.#...#..#.....##..#..##.#.#.#.#.#..#..##..#..##.###.........##.......#..##.....#....##.#..##.............#.#.....#..##..#........#......#...#....#......#............#...#....#.......#..#.....#....#.#.#........##.....##...##..#.......####.####.....#......##.####...#.........#..#.....#.#.##.#.##.#.....##....#....#.#...#...#....##...#................##..###.......#.....#.####.##....#.#.#....#..#..#.#.#............#.#...###..##...#....##.#........##...###...#..#.#.#..........#...............#.#.##....#........##..........#
###.....##.#........#....#...............#.#...##...#..##..............#.#..#....#..#..##.##..#...#...#......#.#.##...##....##.....#......###......#.#...#.##.#..........#...##..#...........#.....#..#...##.........##........#.#.....#..#...#..###..#......#.....#..#..#......#..#.......#.................##......#...#............##...##.......#...####...........#....##.......##....#...###..#.#....#...#..#............#.....##.....#.####..#......#..#.#..#...#......#.........#.##.#...#.##.###.....##....##.#.#..#..##..##..#..##....#.........#...#...#.......................#..#.....##....##..........#..#.#..........#......#..#.........#.....#..#...............#.....#......#.#.#........................#.......#...#.#......#.......#####..##.........#......#.#.#.#..#.......#.......#.#.......#.#...#.....#...#.........#......#....#.......##.#.#...#..#..##.#...#.#............#.###.#.........##.....####.#....#...#....##.#..##...###...#....#.#........#.#..##.............#.#..#..#......#..........#.#.
.#....##.#.......#.........#.#......#..#.#.#..........##.......#......##.#..##.....##..#..#.#.#...#.#....#.#.#....#..#.#.....#....#.....###..#...#.##....#.#.#........#.#........#.....#........#.....#.#.##........#.#.........#......#..###.#..#.....#.#..##..#...#....##.....#..#......#.......#........#.###....##.......#.......###.#.##....#.##...###.....#............#...#..............##.##......#.#.#..#....#.........###..#........#.#.##...#.#...##...#.........##....#....#.##.#...#.#..#.#.....#..#.#........#..#...#...#.##.......#..............##.......##.#..#..##.....#.......##.....#.#.##..##..#.....#..#..#...#....#....#.#.#.....#....##....##.#..............#............#..................##....#.....#.....###......#.......#...#...#...#.#..#...#...#.#.##....#.#.#.###......##......#.......#...###....#....##......#......###.........#...#..#.#.###...............#..#.##.#..#....#.....#....##.##....#....#.....##....##.....#...#..#...#.....#.......##.............#.#..##.#........#..#.......#.
....#..#.........#.......#.#.#....#.#..#...##..#...#....#......#.......#...###......#..#...#..........#..#..#..#.....###.....#.#..........#..#.....##....#....#.........##..........#........#.....#.....#.##.........##.......###........####...##....#...###..#...#.##.#.........#..#....#...............#.##..#..##..........#......#..#...#..........##.....#............#..##...#.....#....##.#.......#.#....#.#..#.......#.###.#...#.##.#..........#.#..###..#...#...........#.......#..#.....#.#....#...#...#.#.#....#......#...#.#........#..##.........#............#.....##........#.....#.........###.#...#.....#..#..#........#.#....#.............#..#.#..........#......#........#.#....................#.....#.....####..###.....#.......#........#.....#..#...#...#...####.#.##.#.#....#....##...#.#.#...........#...##....#...#...##......#........#.#...#...##..#..#.#.#...........#..###...#....#...##......###.....##......#...#.#..#....#.#...##.#.........#...##..##...........#...##..#........#.##.......#.##
###...####.......#.......#...#........##.#..#......#..###..#...........#..#.##...#..#.........#...#.#.......###......#.#.....#....#.....##....#..#..#....#..##........##.#...................#........#.##..........#.##.......#.#.....#..#...#..##....#...#.......##....##...#...#........#......#........#.##..........#......#......#.#.##....#..#...#.#.....##.#........##..#....##....#...#.#...........#.#..#....#.........#...##..#..#.##...##...###.......#..........##...##....##...##..#..##.#...#..##.#.##..#.#......#.....##.#......#.......#.#...#.#.......#.#.....#.........#..#....#.#.....#...#..##..#...........#...#....#......#.......#....##..#.##.#..#...................#............#...........#....#..........##.#......#......##......#....#.#..##......#...##.#..#....###..##...###.....#.#.#...#...##....#......#..........#..##...................#.##..#...#.#.......#..#....#...........#.#...#.##...#...#.........##....##...#.#........#.#.....#...##..##..........##.#.#...#.............#.....#...
#......#.#.......#.........#.#....#....#.#.##..##.....#.#......#.......#.#.####.##......#..###.................#.##...#......#..#.#..#....#..#......##.....##..#......##.#...##..#..#..#.....#..........#..##.......##.#.......#.......#...##.#..#.#.....#.#.#..#...#....#....#....#..#...#..........#.....#.............#......#....#...##.#.#.....#............#..............#.#..##....#....##.##.....#..#...##....#...#...#.....##.......#..#.#.....#......#..#...#......#....#....##....#....#.###.........#.###...#.....##...#.........................#.###...#.#.#........#..............##......#...#......#....##..#..##..#...##........#.................#.##............##.#....##..#.#.......#......#...#.....#.......##.##........#.......##.##.......#.#..##..#...#....#......#.###...##...##....#.#...#...#...##.....#....#...#...#...#..#........#....#...#.#..##....#.#.#....#....##...#.....#.....##.....#####......##.....#..#..#........#.......#.........#.......##.............#.#...#.#.....................
##....###..#.....#.......#.#..........##.#..#......#..#.#..#..........##.#...##..#.....#......#.....#.........##.#....#.....#..##....#..###......#.#.#........##......####..........#..#........#.......##..#..........#........##........##.#....#....#...........##..#.#....#.#.#.......##......#..#...#.#.##.....#....#...#.......#........#.....#....###.#...#.....#....#...###.............##.##.#....#.#.#....#..#.........###..#....#..#..#..#....##...#.#.##...#......#...##.....###..#..#.#..#............###.#.#..#......#..#..###....#....#..#.#...#.......#.#.#...#.#..#......#..#....#.#....##..###.##.....#.##..#..###.#....#........#.....#.....#..#.#...#............#........#..#.#......##...........#..#.#.......#..##.#................##...##........##..#...#.#.......#...##.....#...........#.#.........###...#......#..#....#..............##.#......###.###...#.#......#.......#..##...#..#..####......#.##...#.#..#..#..#..#..##....##...#..#.#..........###..............##...##.#..#....#.#.##.#.......##
.#..#.#..........#..#....#.#......#....#...#....#..#..###..............#....###..#......#.####....#.#......#......#.........#...#.##.#...##..#...#.###...#.....#......#.##...................#.....#..#................#.......#.#.....#...##....#.#..#..#.##............#......#..#.................#.......###....#........#..#...####.#..#.......#.....##...........#....#.....#...#.........#...#..........#..#.#.#....#..........#.........#..#....#..#....#..#...#.................##..##..#.##..##..#.....#.#.#...#..#...#.....##..##.........##...#.....###.......#.....#..##.......#......#.........##..##.....#..#..#..##.........#............#....##..#.##.##......#..#...#.......##...#.......#.....##...##...........#.#.#..#.............###..#..##...#.#......#...#.#....#..##..##....##...#.#...#.........#.........#.....##..#...#...#...#........#.#.#......#.###...#...#....#....#...#.##...#..#....#.....#.#.#.....##...#.....#.#...#....#....#...............##...##..........#..#..#.##........#....#.....#..#
..#.#.#..#.......#..#....#...#......#.##...#...##.....#........#.......#.#.#.##....##...#.#.#.........#.......#...#..#.#....#..#..#.....###...#..#..##...#..##........####....#........#.....#..#.....#.#...#.........##.........#.....#....##...###.......#..........##..#.......##.....................###..#..#..##...............#........#..#.##...###..#..............#...#....#..........#..##.....#..#.#.##........#......##.##..#.#...#.#..#...#.##..#...##..............#.....####.##......#.##..#...#.#.#.#.#.#.....#...#.................##.#.#...#.#.#...#...#.....#..#..............###.....##.........#..#.#...#..#.......##....#.#.#..........##....#..........#......#.#....#.#.#.#.......#.....##...##....#.....####...#.............#...##....#.....#..##...........#.#.####.#..#...#...###...#...............#....#....#...#..........###.........#.#...####..##.#.#........#..#.#..#.##..#....#...###...####..##..#....##....##.#...#...###..........#.........##..#...........#..#.#.....#......#..#.......#...
#.#.#.####.......#..#....#..........#.#..#.....##..##...#......#......##.####...#...........#.......#.#....#####.##...##....#..#..#......#.#.#...#...#...#.....#......##.#...#...#..#..#..................###..........#.......###........#.#.#.......#....#.#.....##..#.##.....#..#.......#......#..........#...#..#....#...........#...##.#.#.....#....##..#...#.#........##..###..##....#...##...#........#.........#..........#...#.......#..#........##...##.##..............#.....#..........#####...#..##.#.###.#....#......#...#.#.#.........#..#.....#.#.#...#....#.##....##.....#.#.....###....###...#.##..#..#..#.....#........#.#............#........#.##.##......#.....#.............#..................#.............##.##.......##.....#..####..##...#.#..##..#.....#..#...#.##.##.#..##....#....#...#.....#....#..............#....#.....##........#.#..........#...#.............#......##..........##.#...#...............#.#...#.#..#....#.....##.#.#...............#............#......#..#......#..#.#.........
.#..#...##.......#.........#.#..#...#.#....##...#...#.##.......#......#......#...#.#...##.##.#....#...#....##.#..##..##.........#.#.....##..####.#.###...#...#.#......#..#....#.................#.....#..#.##........###.......#.......#..#..##..#.................#............#.....#....#......#......#...........#.......#..#.....##...##.#..........###.#..................##...#.........##..##.#...##.#.#.##...##...#......##..#........#.#.......###......#....#.....##...#.....####.#..........#......#.....#.#....#.........##.##.....#.#.....#.#...#...........##..#.#..#..............#.#....###..#......#........#..#........#.#..#...#..........##..#.#...#.#..........#.......##....#......#......##...#...#.......#..#...#.............##.#.....#....#.#...#........#.###..#.#..#.##..##....#......#.#.....#...#.#...#.....##..#...##.##..#.#.......#...#.#..###.......#.#......#..#.#..###...#........#......#######..#.#..##.#..##.#..#.....#.....#...#.......#...##..##...............##...........#.##.#.........
#...#..###.#........#...........#...#....#.....................#.......#....###..#..#......#..#...#.........##...#...#.#.....#....##.........##..#.##......##..#........##....#.....#..#.....#.....#..#...###.......#............#.....#...#.##...#...#..#.........##.....#...#...##......##.........#...###.#...#...........#..#...##.#.#.#..#..........#.#.....#.#.................#.....#...#...#..#....#...#.#..#.##.........#.#.#...#.##....#.##......#..#....#..........#...#.....##...#...#.####....#..##.#..#....#.....##..##....#.#....#.#..##.#.#......#.........#........#.......#.......#....#.#.#.#.##.....#.##......#...#..##.#..#.#.#................#...#......#.....##.#....###......................##..#.#......#...###................###...##...#.#..#...........#.##......##.##......##..................#.#.........#.......#..................#...#..###.#.#.....#...........##..#.##.#.#..#.....#......#......##....#..........##...#.#....#.#.#.......#....#..##..........#.......#.......#.#.#..#.....#...
###........#........#....#.#......#...#..#..#..##..##..#...............#.#.####.##.##......#........#....#.#.###.#...##......#.##.##....#.#.#.#..#.#.....#..............##....#..#...........#.....#..#...#.#.......##.#.........#.....#..#..##............##.........#..##...#.#..#..#...#.......#.......#..###.#..##.......#..#...#.#.....#.#..#...........#...#.....#....##..#.#...#........#...##.....##...#.##...##...#.....#.#.....#..#....#..#...##.....##.............#....#....#..#.#.......#.....#...#...#.#.#....#..##...#.....#.......#..##.#.......#.#...#....#..#.#...........##...........##..###.#......#..#.....##..##..#.....#...#.....#....#.....#.....#....#.....#..#....#.#...#......##.....##...#.....#......##...#.#......#........#.##...#............#.....#......#....#...#..#...##....#.#...#...#....#....##....#.......##......#............#.#.####.#.......#.#..........#..#.#.......#....##.....##.#....#.#..##.#..##....##...###...##.#.#.#........#.#..#...........#..#.#..##......#....#.......#.##
#.#......#.#...............#.............#.#..........#....#.............#####..#......##.#...#...#.#.#...........#..#......##.#.....#..##...#.....##......###.#.......##....#...#..#..#.....#..#.......##.#........###.........##.........##.#..#.#.....#..#......#..#...#...#...##.......#..................##.#..##...#......#....###..#.#....#..#...###..#..#..#........#....#...#.....#........#......#.#....#....#.......#.###.##........###.##...###...###.#....#.....##....#.....###.....#......#..#..#..#.#........#...#...#.....##......#..##.........###...#.#.................#.#.....#......#...#...##.......##..#..#.#..#............#..........#...#....#..#....#..#...#.#....###..........##......#.......#.......#....#.#......#.......#.##.........#.#..##..#.....#.#....#.#....###..#.....#...#.#.......#...#.....##.....#.......#.#...#.........#.#.....#..#.........#......#....#..#.##..#.......####...########..###...#.#..#..#.......##.....#...#.......#..#....#....................#..........#..#.....#...
......##.#..........#....#.#.#..#.#......#.##...#...#..........#............#......##......####...#.........#..#.....#.#....#..#..##.#..##.#.###...#.#.....#..#........#.#...##..#.....#........#..#..#.#..##........##........###.....#..####...#.#...#....#......##..#......#...##..#..............#...#...##..............#..#.....##..###.#..#.##....#.#.#..#...........##..#....#.....#....#.....#...##.#.#..#.#............###.##..#.##...#..##...#.#....#...#..............##....####.##..#.#.#.##.....#.....##...#..#.......#....##.......#...#.#.......##........##..#.#..#...............##........###.#...#..#........#........#......#.#..........##....#..........#..#...#.#....#.#...#.......#.....#....#.....#.....#..#.#........#......#....#........#.#..##..........#......#...#..#............#...#.........#.#...#.....#...#....#.#...##........#........#...##..#...#......#....#..##.##...........##...####.......##.....#.....#...#....#....................##....#..........#...................#..#.......##
.#..#.##.#.......#..#......#....#.#...#........................#......#....#.##........##.###.#...#........####..#....##....#........#..#....#...#...#...#.#.###.................#..#...........#.......##............##........##.........#......#........#.#..#..#..#..##...#.#.....#....#.........#...#.#.#.#....#....#............#..#.##.#.........##.#.#....................#...#....#...#...#.............##...##...#.....##...#..#..#.#....#....####...##..#.........#....##.....#..........#..##..#..##.#.#.#.#...........##.##..#.....#.#..##.#.#.....#.#...#.#.##.#.....#........##....#..........##..##.......##.....###......#....#.#............##.......#.......#..#.....#....#.....#......##.....##...##..#.#.....##.....#.......#........#.##..#....#....#.......#...#.##...#....#...##...#.#...#.#.......#..........#....#........#.#...##..........#...#.##.#.#...#.#...#.......#..#..##...#.#......#.#...##.#..##..##......#..#..#...#....#.......#..............#..............#....................#.#.......#.
#...#.#..........#..#....#........#...##.#..#.........#.#.................#...#.....#..#...#..........#....#.....#.....#.....#.##.##.#....##.....#..#......#..##......#......##..#..#........#..#..#....#............#.#.......#.......#....##.........#...#....#..#...#.##...#.......#..................#.#.###....#....#...#......#..#.####....#.#.....###.#..##.#........##..##...#..........#..##.#...#......#..#.##.......#..#......#.#........#.....#....##.#..........##...##....#....#...#....##......##...##..#.#.....##..#...#.###....#.#...#...#...#.......#....#..#...........#.......###....###.##......#..#........#.#.##..##.#..#..............#...#.#..#..#....#..#..##...................#.......#....#...........##...##......##........#......#.........#........#...#...###..#.##..#....##...#...................##.....#..#...#......###......##...#.#.#.#....#.#.#.#.#..........#...#.#.#....#..#..#....#..#.#....#......#...#.#..##..........#.#.#.#........##...............#.....#....#....#.#....#.........
##..#...##.................#.#..#.....#..#.##...#..##.##.......#.........#....#..#..#......#.##..........#..#.#......#...................####.##.....#.......#.........##........#..#..#...........#..#.##.##..........#.......#.#.....#...#.....##....#.#.#.#.....##.##..#...........#...#..........#....#..#...#...#...#...#.........#...##.#.....#.....#.......................#..#...........#..#.....##.....#....##...#...#.#...#.....##.......#....##....#..##...#..........#.......#...........#.#..#.....#..##......#..........#..#.....#.#..#....#.......#........#....#...#..............#.....###...#.##..#..#.....#..##......##.#..#...............#..#.....#.........#..##.#......#.................#....#.....#......##..###.......#.....#.#...#..##...#........#...#...##....##..##.#.......#.........#.#.......#.....#.............#..#............##.#.......##.#...#...#......#..#.#..#..#....#..#..#.#....#.....##...##...#....##.....#...#.#......#.#..........#................#....##..#.#....#.#.##.#........#
.#..#....#.......#.......#.#..........#........#...##.###..#...........#......#.##.#...##.#...#...#......#.....#.....#.#....##....#..#...#.#.......#.#................#.##.......#.....#.....#..#..#..#.###.#.......##.........##............#........#..#..........#.##........#.........##.........#.......###.#..#....#...........#...#.##....#......##.#.......#...#....##..#.#..##........#...##.#...##.#.#.##...##...#...#.##..#...#.##.###.......####...##..#...#.....##...##.....##.........#.#.#..#..##...#.#.#.......##...#.##.##..........#..#.....#.#.....#...##..#.#..##..............##......#...#..#.....#..#......#..#...##....#.#.#.....#....##..#.##....#....#........#..................#.......................#............##.....##.#.....#....#.....#..#.....#.###.........#.........#....#.#...#...#.........#.....##.......#.....##..........#.#...#.....#........#.........#..#...#.#........#.#....#.#.......#...##.......#.......#..........#.#.....#..##...#...........#.....#.#..#......#..#.#.....#.#.
.#..#..##........#...........#..#...#..#.#.....#...##...#..#................#.......#..#.....##.......#....##..#............##..#.#..#....#..#.....###.....##..........#.....#......#........#..#..#..#.#.###.......#..#.......###.....#..#.......##..#.....##..#.........#...#..........................###.#...............#..#.........##..#..#......####.#..##.....#....##....#..##....#...#.#.##.#...##.....#..#......#......#...#....#...##...#...####..#.#.#................#....###...#.....##..#..#.........#......#..#...#..##.###......#...#......................#..#.........#..#......#.....#..##..##..#..#.#......#...#...#..#..#...#................##.........#.....##.#....#...#....................#...........###..##...............##...#..#......#..#...#...#.#.##.........#..#......#.....#.#.#.....#...##....##....##..#...#........#......#........##....#....#...#....#....##..#..............#.....###.##....##.....#..##.....#...#.#...#..#.#.#........#....##...........#.#..#.#............#.#........#
.##....###.......#.........#........#.##.#.##...#...#..#.......#..........#.#...#..#...##...###...#........#..#...#..#.......#..........#.##..##..............#.......###....##..#..#...........#.....#.###.........##......................##.............#.#......#..#..#.....#.##......#...............#..##..#..##.......#..#......#...#.......##....#.#.......#...#.....#..###............##..#.........#...##.#......#...#.#..........#.#..#.#....###....##..#...#.....##....#.....##...#..#...###...#..#....#.#...#..#..#....#.#....#....#.....#.#.......#.....#.#.#..#..#..##.......#.....###....#.#.........#....#...#.......#..#..#............#..............#.........#...#......##...........##.....#....##..........#.##...##.....#........#...#...#........#.......#.....#...#....####.##...##......#.......#....#....##....#...#...##.##..#.........#.#.#.#.##...#.#.#.#........#....#..#.###.#.#......###...###...##..##....#.....#....#.....#.....#...#.#........##...............##.#.##..#.#....#....#.......#...
.#..#..##..#.....#.......#.#......#....#.#.##......#..#.#.............##.#..#...##.##...#...###............#.#...##..........#.#...#.#..####.............#.#..........#..#...##.......................#..#.#.........#.........###.....#..#.###....#.....#..#...#......#.##...........#...#..........#...##...##.#..................#.#..#..#.#..#.#.......#.#...#.#........#........##..........#.#......##.....#..#......#...#.#.#.#...#....####......#.##.................##...##....#.##.#...#.###.##..........#.....#.....##...#.#....#......#...#...#...#.#.#...#....#..#.....#.....#.#.....#.#....#.#.#....#........#......##.##.....#....#.#...........#.....#....#.......#.....#......#...#.............##....#..........#.#.....#.....##......#..#.#.........#............#.#.##..#.....#...#..........#..............#....##....#..............#........#..........##.##..#.#...#....#.....#..#.#....#.....##.#....###..#....##..#..#..##.#........#....#..#...#.....#..#.#...#...............##..#.#....#.#.#........#.#.
###.#.####.......#.......#.#.#......#..#.#.##..#....#..#.......#.........##..#..##.#.......##.#.....#.#....#.###..#..#......##.#...#....##.##..#.#.###...#...#.#......#.#....#......#..#.....#..#.....#..##....................#.#........#..##...##...#........#......#.##.....#..#..#...........#..#....##.#.#.....#...#..........#.#...###....#......#.##................#...#..........#...#.#.##.....#..#.#.##.#............##..##....#...##........#.#..#...##...#.....#.....#.......#.##....#.#.##........#.###.........##..##.##.#........#...#.......#.###...#....#..#.#.........#.##............##...#.##...........#...#......##.#.....................#..#..#.#....#.............#.#.#.#.......#......#...##....#.......#..#..#.....#........#......#....#.....#..#........##..##.#....##......##....#.#...#...#.....#...##........#...##..#..#.#.......#...#.#....#..#....#...#....#....##..##...........####...####..##...#...##...........#...#.#........#.#.....#..#.#..............#....##.............##...........
##..#.##...#........#....#........#...#..#..#..##..#...................#..##.##.#..#........#.#...#...#.....####......#......#..#.#..#.....#...#.#.###.....#..#..........#...#...#..............#..#....####........###................#..#.###..#.#...#.....#.....##....#....#....#..#....#...............#.#...#..#....#...#..#....#.#...##......##.....#..#..#..#...#.....#.......#.....#...##..##......#.#.#.##.#..........#.##...#....##.......#...####...##..#.........##...........##.##..#....#....#...#....#....#......#..##.#.........#.#..##.#.#...#..#....#....#........................#.....##.#.#........#.##..#..##..##.....#......#.....#....##....#...#.........#..........###.#.#......##.....##....#..#.........#.....#.....#.......##.###..##...#....#...#...#....##..##....#.#...#...#.#.....#...........#..........................#.#......#..#.#.#..##......#.....#....#..#.#..###.#......#..###......#.#..#..#....#.....#..#..#.....##...##.#...#.....#..#.#...............#...#..#..#........#..#........#
.#....###........#.......#......#......#...##.........###..#..........#....####.#.......#..#..#...#......#.##..#.##...##....#..#........#.##.##.....#......####.......#.##.......#..#..#........#..#....##..#.......#.#........###.....#..#..#...##...##...#.#..#..##.##.#............#...#.......#..#...#.#.#.#.............#.......##....##....#.##......#.#...............#.......#..........#...#.#......#.#..#.#.##...#.....#.#..#....#...##..#....####...##.##...#.....#....#.....#.#...#.....##..#..#...#.....#.#.#.....#....#......#..........#.#.#...........#...#..#.....#......#.##.....#...........#..........##.......#.##..#..#......#..............#.#...#.#....#..#..#..#....#.....#......#......##.......#........###.#..#..............##.#...##...#....#............#...#....##..#.#....##....#.#.#.#.......###....#.....#..#...#..#....##......#....#.....##..#....#...#.......#..#..#....#.#.....#.##...###.###.........#.#........##....##................#..##....#...........#...##..#......#...#........#..#
###.#....#.#.....#..#......#.#..#.#.#.##.#.##..##...#..#..............#..#.#.#..##..#..##...#.....#.#....#...#.#............#...#.##....#........#...#.....#..#.......#......#.........#.....#..#..#.....#.#...................##...........#..............#.#..#.....##..#...#.......#..............#...###.#.#.....#...#...#..#...#......##.#....##...###..................#..#....#..........#...#......#...#....#..#...#...#......#..#......#...#...####..###.#...........#..........###.....#.####....#..#.....#.......#..##...#.....#.....#.#..##.#.....#...#...#.#..#..#.#..#........#.....##.....###...#.....#....#...#..#...#...#..#..#.#.......#.............#..#.......#.....#.....#..#........##.....##.......#.#.....#..#..#.#.....##......######..##...#.....#........#...##...##...###.#....#.....#..............##....#....##..#.......#............#.#...#..#....#....#...#.............#.#....#.....#......#.##...#..##....#.#..#..#.......#.....##.#...#.....#..#....#...........#..#....#..#........#...........#
###..............#..#....#.#.#..#...#..#.#..#..##..............#......#...##.#...#..#..##..###....#...#..#....##.#...##......#.#..##....##.#.#...#.###.....#..##......#..#.............#...........#..#....##........###........#......#..#..##..###..##.#.###..#..#...#..#...#.#..#......##......#..#...###...#.....#...#...#..#...#.##...##.......#....##.....#......#.....#..#.#..#.....#........#.....#..#.#.#....#..........#.#..#..#.##.#....#....#.##....#.##...#......#...##......##.#...#.#..##...#.....#.##....#.....##..##......#......#..#....#...#.......#.#.#..#..#..##.....#.##....#.#.....#..##...#........#..#.......#..#...............#...........#.#..#....#..#...#........#.#........#.......#...#...#.#.......#....##.............##.###..#......#..........#.....##...##...#.#.#....##....#.........#..........#....##..#...#..##...........##.#.#......#.......#........#....##.##..#...#..#...##....##..#.#....#............#................#.#.#.........##..#.................#..#.#....#.#.##.......#.#.
#.#....###..........................#..#.#.#....#...#.##...#..........##.####......##...#.##..........#....#..##.....#.#....#...#..#.#........##.#.#.#.....#####.......###...#...............#........#.............#..........##.........#.##........##....#...#..#.....##...#.#..#..#...#..........#...###.....#..#....#...........##...#...#....##...####.#..#..#........##..###..##........#.#........#..#.#.#..#......#...#..##.#.....##...##......##......#............##...#......#.#.#...#....###..........###.#.#.....#....#...................#.....#.#.....#.#.#..##.#...#.....#.##......#....#.#..#..##..#.....#.....##..#....#.#..#.#.......#....#.....#.............#...........##.#.........#.....##...#...#.......##....#.#.....##.......##..#...#...#.#...#..#...#.#...#...###...###..#...##....#...#.....#.........##....#...#...##.##....#......##.#.#.#.#........#...#.#.......#..#..#..#..........#.#....##..#.........#..#..#.....##....#....##.#.............#...............#.......##.#....#.#.#..#........#
.##.#....................#...#..#.#....#...#...##......##..#...........#..##..#.##..#...#.#.##....#.#....#.#.##...#...#.....##.......#...#.#.##..#.#.....#.#..#.........##...#......#...........#..#..#.###.#.......###........###.........##.#..##....#.#..##..#..##..#..#.......#...............#..#...#...##..........#...#......####.#.##....#.......###.....#...............##...#............#..#..........#..#.##.......#.###.#...#......##.##.....##...#..##...#..........##.............#.#..#.#........#.###......#.........##..#.......#..##.#.#...#.#.#.......##.#..#..#.........#....##......#..###.##...........#....#......#.#....#.#................##.##......#..#..#.......##....#.............##................#......#............###..##..##........##..#.......#..#....#.##....##...................#....#....##.....#.......#.....#.#......##.#.#.#......##....#.#.#.......#..#.##.#....#..#..#......#..##.##...##.....#..#..#...#...#.....#....#..........#.....#..........##.#....#..#....#...#..........##
.##...###..#.....#..#....#.#.#..#.#...##.......##..##...#..#..........##.#.#.##.##..#...#.##.##...#.#.#....#...#.##..#......#..#..##.#..#..#...#.#.##....#.#...#......#..#....#.....#..#........#.......##..........##.........#.......#..###....#....#..#..#...#........#....#.#.##......##......#.......#..###.#...#...#...........##...#.#....#.##.....##.#..#...........#.........#....#....#..#..#...##..........#..........#..........#...##.##...##.#.......#.........#....#.....#.##..#..#.#..#.#..#...#...#.....#......#..##..#.#......#.......#.#...#.##....#.#.#........#......#.#.....##.......................#.......#..#.....#....#.#...........#....#..##.........#..#.........#.#.#.......#.....##...#...#............##........#.......####....#.....#..##......#.....##.#..#............#.#.....#...........##.....#....#...#..........###......##...#........###.#.#.#.........#....####....#.....##.#...##..#.#...##....#.#..##.#..#.....##...#......#.........##...#..........##.#..#...........#..#.#........#
......#....#...............#.#..#...#.##.#..#...#...#.###......#.........#..#.#.##.##.....#.#.....#.#....#.#####..#..#.#.......#...#.#....####.#.#.#.#.......#.........##.....#..#..#...........#.....#....#...................##...........#.#...##...#...#.#.....##....#......#.##......##......#.......#..##..#...#.......#........##...##.#..#......##...#.....#........#........#.....#...#...#.......#...#.##...##.......#...#..#....##..#.#.......#......#..#...#......#...#......#...........#...........#...#.#....#...#..#...#.#.......................##...#.#.##....#..#........#............#.....#...........#......##.##..#..#..#.#.#..........##..#.##....#.............#........#........#.......#...##..#..........#.##.#.....##.....#...#.#...#.....#..#.......#.#..#.....#..#.##.............#.#.......#...#...................#........#.............#.#.#...##.#.#...#.............##...........#...........###..#..........#..#...#....#.......#............###..............##...#..#..#....#.#..............
#...#..#.........#..............#.#.........#..##...#.#...............#..#.##.#....##...#...#.#...#...#....#.###......##.....#....#..#..#####.#......#.....#..##.......#......#........#...........#..#..#.##..................##......#..#.##.....#..##.#.#.#..#..#..#..#....#.#.##..#...##......#......#.#..#..........#...#........#.....#....#..#....#.#....##.....#.....#..###..##............##.#....#.....##.#.............##.#...#..#.####..#...###...................#...##......##..#.......###..#...................#......##..#.....#....#....#...#..##...#...#..##.....#.......#............###.#.#.#......#.##......#..##..##.#....#.#..............#.....#............#..#....#.#...#..............#....#..#.............#.......##........#......#........#...#.....#......####...##...#.........#.........#.....#...#.....#...#....#.##..###.......#.......###..#.#.#.#...#....#....##..##.#.#.#.....##.......##.###...#.........##....#....###...##...#..........#.................#.#.#...#.#......#.##.........#.
##..#.#.#..#........#...........#...#.#..#..#..##..##.###..#..........##..#...#..#.#...##.##.##.....#....#.#...#.#...##.....#..#...#.#..##.#..##.#..##.......................#...............#..#.....#.####..........#........##......#..####...###........#.......#....##.....#..#..#...#..............#.....#.#...................#....#.#.#..#.#......#..#..##.....#.........#.........#.....#........##.#.#......##...#.....#.......#..#..###..#....#.#..#....#...#.....#.....#....####..........#....#...#.#.##....#..#.........#...##......#...#.#.#......#......#.#..#..#...#.......#.....###.....#..#.#.##..#............##........#..#.........#....##..#....#.............#..#....###...........#......#...#.....#..........###......##.........###.......#........#...#.#...#...#.#.##.##..#....##...#.....#........##.........#.......#...#..#.#......#..#.....#....#.....#..............#.#####......#...###......#####...#....#....#......#...###........#.......#.......##..........#....##.##..........##.#.....#...
....#......#.....#.......#...#....#.#.#....#...##...#.#....#...#......##.######.##.#...##.#.##......#.......#.#...#..#.#.......#..##.#......##.#...........#.###........#....##.....#..#........#..#....###.........#.##........##........#..##....#.....#.#....#..#..#.......#.#.........##......#......##..#.#.............#.......#.#.#..#................#..##.....#........###..##........###.##.....#..#.#.##....#...#...#.###.##..#.#..#..#.#....###....##......#.....#..........#.##.......##..##..#.....#..##...#..#......##....##.....#.....#.#.....#.##....#....#.##.#..##.....#.#.............##..#..#...#..#.##.....##..#...##.#..#...#.....#........#....#..........#.....#....##.......................#...#.#..........................#........#....#....#.......#...#.##.##.......#..#.....#.....#.#.........#.#...##....#..........##...........#..#........#.#...#...#.........#....#...#.#....#..#..#...##..##..........#..........#....###......#............#.#...............#.#....##.#....#...#..#.......#.
..#...##.#.#.....#..#....#......#.#.#.#..#.##..#...##.#........#......#..#.......#.##..##.#.......#...#..#.#.....#...##.........#.#..#..#..##....#..##.......#.#......###....#......#..#..............#.#............###...............#....#.#...##..##.#.#........#.#..#........##......##......#.......##.#.......#...#......#....##..##...#..#.##....##..#..#..#...#.....#..#.#..##....#...##..##.#....#...#..#...##.......#.###..#....##....#.##.....##....#.............#....#.....###.##..#...#.##..#...#.#.#.#...#..#......##..#..##....#...............##....#....#..#.#..##.....#.#.....#...........##.##.....#..#.......#.##...#.#....#.............#..#.#..#................#.....##...#.............##.................##..#.......##.....#######..#....#....#.............#.........##...#...##..........#...#....##.........##..#....#.##...#.......#..#......##...#..#..........#....##...##..#....#....#.........###....#..#..#..#..#..#....#.#...##...#.#.....#..#....#...........#..........#....#...##.#.....#.##
#.#.#...#........#..#....#......#...#.#.....#...#..##.#....#...#................##.##..##.##.##...#.#......#.###.#...##.....##.##.......#.#.##.#...#.#...#...#........#.##....#..#..#...........#........##.........#.#........###.........####....#...#....##..#..#..##.#....#...#...#...##.............#....##....##...#...#.......#...#..#....#.................#.........#..#.#..##....#...#.#.#.......#.#...#..#.##...#...#.###.....#.........#.....###......##...#...........#....##.#..#..#.##..........#.#..##...#.....#...##....###.........##.......#.#.#...#.#.#...#.#..##........#....##......#...#...#.......##.....##..##..##....#...............#..#.#...#.#...........#......###...#.......#......#....#..#.......#.#..##.#......#......######..#....#.#..##..#.......####.#....##.....#...#.#.....#.......#................#.......#.#....#.......#..#.#.#.#.##.###.......#............##..#...#......#.#.......#..#...##..#..#...#.#...#....##......#.........#...................#..#..#.#..#....#.#.##..........#
.##.#..##........#..#......#....#.#.#.#....#.......#..###..#...........#.####....#.#...#..###.......#....#.##.##..#..##.....#..##..#.#..####.###...##.........##......###....#...#.................#..#..#.#........#...........#.........#.##...#.#.......###................#...##......##.........#....##..##....##.......#........##..##.....#......#.#......#...........#...#.............###.#..#...##...#.#..#..#...#......##.##..#..#.##....#...#.##..###.............#.........#.#..#.................#...#.#.#.#.........#..##.###......#..#....#......##...#......#...............#....#........#.#.#..#..#..#..#..#...#..##..#..#.................#......#.#.......#..#..............#.#......##......#...##..#.#.....##.#..###.....##......#.#.#........#....#...#...#...#.##.####...###.##....##...#.#.#.#..............#.....#......##.##...#.......#......#.#.#....#...#.#.#....#..#.##..##...#.#..#....##......#...#..#....#..#........#....###........#.#.....#..##....#..........#.....#.##......#...##.#.......##
#.....####.#.....#..#......#...............#...#...##...#.............##..##.##....#...##.#.#.#.....#......#..##..#..###.............#..##.#..##.#.###........#........#.#..........#........#..#.....#.#.##...........#.......#.#........#.###..#.....#.#.#.#..#..#..#.......#.#.##......##.............#...#.#.#..##...#...#......####...#..#.....#...##.#....#......#.........##............#...##.#....#.#.#.#.............#.#...#...#..#.####.##...#.....##..#..........#....#......#.#..#....###.##..#..#..#.###.#.#..#..##..##.#..##.....#.#..##.#...............#.....#.#..##..............##....##..##..#........#......#.#.##..#..#..#.........#....#...#....#................#....###.#...............##....#....#......###..###............####.##...#...#................#......#...#..#..#...#.#.......#.....#....##...#......#..#...##.#.....#...........#...#.#....#............#..#..#..##.#.#.#..#...#.#.......#.##..#....#......#.#..#....###...................###..#...........#..........#....#.#.#........#.##
........#..#.....#.........#......#.#.#....##...#..#...#...............#..#.#.#..#.....##...##.............#..#.......#......#.##.#.....#.###....#..#......#..#........#.....##..#..#..#.....#.....#....#.#.#.......#...........#......#..#####..#.#..#.....##.....##..#........#.#........#.........#.......##..........#......#...#....#....#....#....#.##.#.........#....#...#....#.........#.#..#.#...........#..............#.#.##.....#.##.#........#........#...............#.....###..#..#.............#.#.#.#.#...............#.#.#.........##.......#...#.....#.##.##.#..##.......##....#.#.....#...#...#.....#.##..#...##......#.#......#.....#....##..........#....#.............##....#.......#......#...##..#.......#.##..........#......#.#.#.#..#....#.#......#...#.#..#...#.#...###.......###...#...#.....#.....#...##........#..........##........#.#.#......#...#.#.#.#......#..#.##..#.##...........#.......##.#....#...##.#..##.#..#.....##...##.#.#.#..........#...#...........#....#..#......#....#.#.....#.#.
.##...#..#.#.....#..#....#.#....#.#...#..#..#..#....#......................###...#........##......#......#...#.#.##...#......#....#.....#..###.#.#.#.....#..##.........#.#....#........#........#.......##.#....................#.........##.#...#....##.#.#.......##.##......#....#......................#...#..#..##..............####.##...#.....#....#.#....##.#...#.....#..###..#..........#...#.....##.#......#......#...#..##.#...#.#..#.##..#...###....##..#...#.....#....##....#.##..#....##.###.....#..........#......#..#...#.###......#..##.......#.......#....#..............#.##.....#.....#.....#........#........#.#.##..#.........#...........#..#.##.##......#.....#.......##..#....................#.....#......#.#.####...............####...#.....#...#......#.#..##..##.#.###.#..#...###.....#.#.#.......##.....#.....#.............#.#.......#...#.#.####.###.#...#......#....#....#...#.#......##....########..........#...#..........##...##.#............##....#...........#.#.....#......#.#.#..#.....#...
##.....#............#....#...#..#.#.#.##...##..............#...#......#..#.###..##..#.....##.#......#....#.#.##.......#.........#.#.....#..##....#.###.....###...........#....#..#...........#.....#..#.###.#.......##.#.......#..........#..#.....#..#....#.#........#.........#..#......#.......#..#...##..##..#..#....#......#......#.#..#.#..#......##.#.#...#.....#....##...#...#.....#...#.#..#.#...#..#....#.#.#....#...#..#..#...#.##.####..#....###..###..#...#.....##...#.....#....#...#...##.#..#..#..........#..#..#...#......##.........##...#...#.###...#...#..##.....#.....#.......#.#....###.##..#...#.....#..#..###.##..#.....#.#.#..........##....##.........#..#.....#....#.#.#.#.............##...##....#......#.#.##.......#......#..#.##..##...#.#...#..#...#...#.....###..#....##....#......#.......#...#.....#.....##..#...##..#....#......#..#...#.#....#...#...#.#.........##....##.#.#..#..#..#...#....#....#.#...#.#..##....#....##.....#.#...#.........#...#................##..#.#....#.#.##.#.......#.
.##.#.#..................#.#....#.#...#..#..#..#...#..#...............#..##..#.....##.....##......#.#.#..#.#####.##..#......#..##..#.#..#...#....#..........#.##.......###...##........#.....#..#..#..#.##.............#.......#...........##.#...##...#.#......#..##..#.#......#.##..#...##......#..#....##..#..#..#....#...#......###...#.#.......#...##.#.#.....#.................##........#.#..#......#.....#..#..#...#...#..#......#.##.#....##.............#...........#...##.....#.#.##......###......##.#...#...#..#.......#....###....#.#..##..........##...#.#..#.#..#..#..............#.......#..##..##..#..#.#...#..###.##..#....................#...#..#..#.#....#..#..##.#........#.........#.....#....##..#.#..........#..#.....#.......##..##.........#..#...#...#...####..###.##..#..#...###.....#.#.....#....#.....#....##..#...#...#..#.#......#....#.#.#.##...#.....#......#..#....#.###...#......#........#.#.#....#.....#...#.#..#....###...##.#.#.#.........#...##.............#....##........#..#.#.......##
.##.#....#.................#.#..#.....##...##.......#..........#......#..##.###....##..#....###...#......#..##.#.##..##........#...#....########.#.###......###.......##......#..#..#...........#..#.......#.........#.....................##.#....#.....#.........##..#.#....#...#........#......#......#...........#...#......#....##..........#.##...#.#.....##.#........#.....#..#.....#...#...#..#...##......#....#..............#....##..#.#..#.....##..##...#.....................#.#.#.....#..#.#......#.......#....#......#.....###.........#....#...#.##....#...##....#..#......#..#....##.....#...##..#...#..#.....#....#........#..#.#............##....##..#.#.......#..#....................##.....##...#...#.#..........#.#.......#.....##.#..#..#......#...#......#.#.#.##..##..##..#.##...#.#...#.#...#............................#..#...#.......##.#......#.#.###.......#....#....#...###....#......###....#.#...........#.....#..#...#.........##...#.#........###..##.............#..#.#.........#..#.......#.##
##..#.#.............#....#...#.........#.#..#......##..##......#......##.#.#.##..#.#...#..#####...#...#.......##.##............#..#..#.....###.....#.......#####........#........#......................#.............##.........#.....#..#.#.#..##...#.........#.....##.##.......#...#....#......#..#...........#..##...#......#......#...##............#......##.#...#...................#...#.#..#.....#..#.#......#..........##..##..#.##..###..#...#.##....#.#..........#..........#....##..#.........#..#....#...#....#..#...#...#.###......#...........#..##.....#.......#...........#......#.....#...#.#.....#.....#.....#...#...##....#...#.....#.....#.....#.##......#..#..##.#....#.#..........#.......#.........#........#.###.......#.....###.#.#...#.....#..#.........#...##.###...##...##....#....#.........#....#....#.........#...##.##....#......##.....#..#....#..#...#.#..........#.#...#...#..#....##...###.##.#..###..##.#..#..#..##....#.....#................#..##..........#..#..#.#..#....#.#..#.#........#
......##.#.#........#........#..#.#...##.#..#..#......#........#.........#..###.#..##...#..#..#...#...#..#.#..##.............#.##..#.#..###.#.##...#.....#...###........#....#.........#.....#..#..#....#...#.......#..#.......#..........###.#...##...#.#..#...#..##..#.##.....#.##......##......#..#.....#.##..#..................#.#..#....#..#........#..#.........#........###..##....#.....#.##.#...#..#.........#.........#...#.....#.....#..#...###...###.##...#......#.........#........#..#..##..#...#.#.#............#..#..#...##..........#.......#.###...#...#..................#.....#......##.##..##.....#..#.....#.#.##...#.#....#.............#....##..#.#....#......#.#......#..........##.....##...#.....#.....###...........##..........##..##.....#..##..#.......##...#.##..###..#.....#....#...#.....#...##.....#.....#......##.......#.........#.....#..#.#.#...#.............##.......#.#.....###....#...#.....#.#..##.#.....#..##....#.....#...........#..#................##....#....#....#.#....#.....#.##
#...#....#.#.....#..#....#.#.#..#...#.##....#......#..###......#......#...#.#.#.....#.....##..#...#...#......###.....###.....#............###...............##.#......##.#....#.....#..#.....#..#..#..#...#..........##.........##.....#...#......#......#.#.......#..#..#....#.#.##..#...#..............##.........##...#...#..#...#.....###.............#..#...#.....#....#...#.#........#....#...#.#........#....#.##.......#...#..........###.......##.#..#...##..............##.....##..#...#....#.......#.....##.#....#..##.....##.#........#..#..#.#.....###...#.......#.#..##.....#..#....#.#........###.#......#..#..#...##.##.....#....#.#...........#....##..#......#.....#..#.....##...#..................##..........##.#.##.#......#.....##.#......#.....#..#.........#.#.##.#....#...#..#...#.......#.#.#........#....#.....##..#......#...#........##.#.#.#......#.......#......#.....#.#..#....#..#...#.#...###...##..###..##.......#.......#........#.............##..............##.......#.#....#.#.##.#.........
###.#.#..#.#........#....#.#.#..#.#...#.....#..#....#...#..#..........#..###.##.##.##..#....#.....#...#..#..####..#..###.....#..#.##.#..#.######.#..##...#.##..#......#..#....#..#..#..#.....#.....#....#.###.........##.......###........##.##.......#..#......#..##..#.##...#.......#...##.........#....#..#.#.#..#........#..#...##.#..#.#.#..#..#....#.#.#..#...............###..#..........#...#.#...#......#.........#...#.###.##..#....#....##......#....#..#....................##..........#...#......#...#.#.#.#..#...#...#.#..#.#..........#...#...#.#.........#.....#..#......#.#......##....#...###.#................##..#..#.....#...#..........##..#..#....#....#.....##.#....#.#...........#......#...#.....#.....###...........##......#.#.....#....#.#..##..#.............#.#.###.#.##....##...#.........#.........#.....#.......##.#...#........##...#.....##.###.....#.#..........#.#...#.#.#............#.....#...###...#.#..##.#.......###...##...#.#.........#...#...........#..#.##....#......#.##.#........#
....#.#....#........#....#.#.#....#........#...##..#..###..#.............#...#..##.....##.####....#.........#.##.##...##.............#..#.#....#.#.#.#......##........#.##...#...#..#..............#.....#..#.......####........#......#..####....#...#..#......#...#.#.......#.#.##.......#.........#.......#.#.....#...#...#......#.#..##......#.##...##...#..##.#........#...#....#.....#...##..............#.##...##.......#..#...#........###..#...###...###..#...#.....##.........#.##.#.....#..##...#..#..#.##..#....#..#...##..#...#....#....##.#.#.....#.#.....#.#.....#..##.....#.##....###....###.###.##..#.....#..#..##..#....#....#...............#....#..#..#....#..............##...#......##.....##....#..#...............#.....#......#######..#....#.#..#...#........##..###...##.#.......##...#...#.#.......#...........##..#...##.....###......#..#.#....##..........#.........#..#.#.###.#.........#....#....#......#.....#.....#...#..............#.#........#.#..............##.#..#.........#.#.##.#.....#.#.
#.#.#..#...#.............#.#.#..#........#..#..##..##...#..#...........#.#...##..#.#...##.##..#..........#..##....#...##....#..#..##.#....#...##.....#...#.#.#........####...#.........#.....#..#..#..#.##.#........##..........#............##..#.....#.#.#....#......#.#....#.#..#..#...........#......###..#......#...#...#......##.#..#......#..#...####.#...#.....#.....#....#..##..........#.##.#....#.#.#.#...............###.#...#.#..####.#......##...#..#....#.....##....#....#.##.......####.......##.#.#.#.........##...#.##..............#...#...#..#....#.#.##.##.#..##.....#.#.....##.....##....#.#................#..#....#....#.#.#.....#....#...#.....#.#..........#..#.....##.#........##..........#...#.#......###.#.##.....#........#.##...##............#.............#.....###.##....#......#...........#...........##......#.......#.......##...#.#.#.#...##.#.#..............#.####..#.#..#....#.....#.#.##...##...#.....##....#.....##......#.#.#........###..#............#...#..#.......#.#..............
#...#..#.#.#.....#.......#.#......#...##.......##..........#...........#..#####........##...###...#.#.#.......##..#..##.....#......#.....#..##......#....#.#.###......#.......#.....#........#..#..#....#.###.......###................#...#..#...#......#.#..........#...#...#.#.##..............#......#....#..#...#..............#.##.##......#.##....###.#..#..#.........#...#....#........#.#.##.#...##......#.#..#...#...#.#...##.......###..##....##.....#..#.........#.....#....###..##..#....###.....#..#.###.#.......#...#...#.#......#.........#...#.###...#....#........#.......#.......#......#.....#...#....##......#..#....#.#..#.#.#...........#.....#.#..#....#.....##.#.....#..#........##......#...##....#......##..#.##.....#......#.#......#....#....##........#..###.##.#...###..#.........#...#.#...#...#......#.....#.......................#.....#..#.#.#...#...#.#....#.....#..##...#.#.......#.....#####....#....#..#..##...............##.....#.........##...#..........#..#..#..#.#....#...#..#.....#.##
.##...##............#....#.#......#.#....#..#..##......#...#...........#...##.#..#.##.....##......#........##.#..#...#......##.#..##.#...###.#.#.#.##....#..#.##......#.##....#..#..............#.....#.#..#..........##.......#.#.................#.........#........##..........#........#......#..#...#.#..#.....##...#......#....#...#.##....#..#.....#..#..#..#...#....##..#................#..#......#.#.#..#.#..#...#...#.#.#.#...#..#..###.#.....###....#.##...#......#....#....#.#..#......####...#.....#.#...#.#......#..#...#...#..............#.....#.#...#.........#...................#....##..#..........#........#.#..#...#.#..#.........#...........#..................#.....##...#......##...........#..#.#.....#....##.#.............#...#...#....#.....#......#.#.#.##..##....#.#.##...###...#.#.#...........#.........#...#....#..#..###.......#...#.#..###..#..#.#.#.#.......#.##.##......#.....#.......#...##.....#...........#.......###...#............#..#.#...............#....#..#........#..#.......#.##
.##.#..##........#..#....#.#.#....#...##...##.......#..................#.##.###.....#...#.#.##....#..........#.#.#.....#.......##..#....#####.#..#..##.......#........#................#...........#..#...###.......####.......#.#.....#.........#.#...#........#..................#......#.......#......#.#.........#..............##.....#.......#....#.#.....##.....#....##..###..#.....#.....#....#...#....#..#...#....#...#...#.##..........#..#...#.##..##..#................#....#.##.#.....#.#.#......##.#..#.......#......#......##.........##...#...#.#.#.....#.##.##.#..#......#..#......#......#..##.#...#.....#..#....#..#..##.......................#.......#...........#......#.#...#......##.....##...#...#........#....###.............###..#..##.....#..........#.....##.#..#..............#.....#...........#.#...##.....#..#......#............##.......####..##.....#.#..........#.####....#..#..###....#.#.#.##..#.#...#.#.....#..#.....##...#......#.....#....#..#...........#....#.....#......#..#.......#.#.
.##.#.#..#.#..........................#..#.#........#.#.#..#...............##...........#.#...#.............##....#..#.#....##.#........###..#.#.#...#.....#.#........#..#....#..#.....#.....#........#....##.......####.......###.....#..##......##.......###......#....##...#.#.#........#......#..#........#.....#...........#.....#....##.#.....#...##.#....##...........#.......#..........##....#...#....#...........#.....##..##....##..#...##...##....##..............#...##......#......#..####...#.....#.###.#.#..#......#...#..##......#...#.#.......#.....#....#.##....#...............#.....#.#...#..#..#..#.....#......#...#..#............#........#.##....#....#..#...#.#......#...#..................#............###..........#......#.#..##..#......#......#...#...#.#..##......##.#............#.#.#.........#...##.....#......##.#...###.......#.....#.####...#.#.....#.........#...####...#..#..##.#.....#..#..........#....##.#.........#....#.#.........#...##...#.............#.##.##......#......#.......##
.##.#.##...#........................#..#...#....#..#....#......#.......#.#..#.#.##.##..#.....#....#...#..#.##..#..#.........#..##.#..#..#.#.#.#......#...#.####.......#..#...#...#.....#.....#...........#..........###..........#.....#....##....##.....#.#.#......#.#..#......#.#...#...#.......#.......##.....#...#...#...#..#...##.#.#.#..#..#.##....##.....#..#...#....#...#.#...#....#.....#....#......#.............#.....##..##.......#..#.##......#...#..##...#.....#....##.....#.#.........#..#...........##.........#....#....##..........#............#...#.#.#...#.#..#..............##.......#..#.........#.#...#..#.#......#.#..#..............##..#..#.##............##.......##.#........#......##....#..#............####.....##......###.##..#......#..............#.##...#..###...#.....#..........#...#...#......#........#...##.#...###......#......#.......##.#.#.............#..#...#......#..#..#......#.......##..#..#.........#....#....##..............##...#...........##...##.........#...##.........#.
.#..#..#...#.....#..#....#.#.#..#...#..#.#.##.............................#...#.##..#.....#.###............##..#.#...###.......#..##.#.......###.#.##......#.#.........#.#.............#........#..#....#.##........####........##.....#...####..#.....#.#.#.#..#..##.##.#......#..#......##......#..#....##..#..............#...........#...............###.#..##...........#..##...##....#...##.....#......#...#.........#.....###.##....#..#.##.#....###...###.#..........##....#....###.........#...#..#.....#.###...#.....#...##.#..............##.#.#...#.##....#......##.....#.....#.##....#......###.....##..#..#.#...#...##.#....#......#.#.....#....##.......##.#..........##......#.....#.......#...........#..#.#......#.#..###......#.....#.####.............#...#...#........#.#....#.#.#....##....#.#.#.#.......#...............#.......#...##......#..#.#...#..#.....#.#.#.#....#..#.#...###..........#.#......#..###.......##.#.....#.......#.#...#..#...#.....#...##..#..............#.##....#....#.#....#.......##
.##.#....#...................#..#.....##...##..#....#...#..#...#.........##..#...#..........##......#......#..#...#..##.....#...#..#.#...##..#.....###...#.#.###.........#....#..#.....#.....#...........##.#.......###........##......#..##..#...##..##....##..#.....##.##...........#...#..............##....#.#...#.......#..#...##.#.#.##......#.....#......##.#...#....##..###..#.....#....#.....#...#..#.#....#......#...#.###.......#...##...#....#.....#...#..........#...##......#......#..##.....#.....#.##..#....#..#.........#........#..##.........##.........#.##....##..............#.......#..#..##.......##..#.......#..##......#............#...#.##.#..#.......#..#.......###...#...................#..#.#.....#....#...............##.#..#.........#..##..#.....#......##.#.#.###..#...##....#...#.#.......#...........##..#......##..###.......#...#....#.....#.#.#.#.........#..#.##.##.#....#..##.#.....##.##....##..#.....##.........##....#......#.....#.......#............#...#.................#.......##
#.....##.#.......#.......#...#......#.#........##..##.#....#...#............##..##.#....#...##........#..#.....#..#....#........#.#.........#.#....#.......####.........##...#...#..............#.....#..#.#...................##..........#..#..#....##.#......#..##..#.#................##......#......#...#.......#..........#....###..#...#.........#.##.....#.#............###............##...#.....#....#.##...#..........##..#......#...##.##....#.#..#.#......#.....##....#.....#.#.##....#....#......#.#.....#.#.....#...#..#..#.#....#.#..#....#...#..#......#.##.......##.....#.#.......#....##..#.#.#...#.....#.......#..#..#..#....#.#.....#.....#....##..#.............#.......##.#.#..............#................###....#.....##.....###.###.........#...#..#...#...##.#.##.#.##....#......#.....#.#.....#...###...#.....##..#....#.##..##.......#..#.#....#.#..#........#.......#.##.#.###.........#.#....#...#..#..#................#....##....##.#.#...........#...##...........#.#..#.##.#........##.#.......#.
..#....##........#.......#.#.#..#.#...##.#.....##...#.#.#......#......#..##.#.#....#....#.#..##...#...#......###.##..#.#.....#.....#.#....#......#.##....#.####.......###....##..............#.....#....###..........###.......#.#.....#..#####..........#.###.....##....##...#.#..........#......#......##..#......#....#.............#.#.##.#....##....###.#..#..#........##........#....#...#...#.......#.....#.............#..#..#...#..#.####.##...####....#.##...#.....#..........##.#..#..#.#...##..#...#....#.......#..#...#...#.#......#.#..##.#.....#.#.#........#..#.#...................#....###..##.#...#.....#..#..###..#..........#.#................#..##.#.......#...#.#....##..#................#...#............#.#.##.#...............#.##...#...#.#...#..#...#....###.####....##.#....##....#...#.#.......###....#............#..#...#.........#.....#..#.#.#..............#..#.##..#............#.##.....###..#.......##.#..##.#..##....##......#.#.#........#.#...................#..........#....#.#.....#.##
.##...#..#...............#.#.#......#.#..#..#......#...........#......#..#.#.......#......#...#.....#......####...#...##....##..#.##....####...#...#.#...#...#........#..........#...........#..........##.#........###........#.......#..#..#...###...#.#.#....#........##...#...##.......#......#..#...##....#.......................#.#.##......#....##...#..##.#..............#............##...#.....#..#......#.#....#.....#.........##....#.#....####......##...#.....##...#........#.....#.#..###.....##.#..##......#..#...##....###....#.#..##.......#...#...#.#..#....#............#....##.....#....##..#..#..#.#......###......#....................#..#..#.#..#....#..#..##.......#............#.....#.....#...........#....###.....#......#######.......#............#....###..#....#.........##....#.#.#.#...#...##....#.....##......#..#...#.#.......#...#.#...#........#.#.........#..#.###.....#..#....##.....#.###...#.#..##.#..#..#..#...........#.#.#.#.....#...##...#...........#.#.....#.............#.........
.#..#...#..#.............#.#....#.#.#...........#..##.###......#......##...#..#........##..###....#...#....#...#..#..##......#.##.#......#.#.....#.###...#....##......#.##...#...............#..#........##.#.......#.#..........#........####....##...#.#.###..#..##.#.........#.##......#.......#.......##...#................#...##.#.##.#.#..#.##.....#.....##.#...#..........#..#.....#.....#..#......#.#.#.##.#.##...#.....###.#.....#...#.#..#...#.##.......#...#.....#....##....###...........#....#..##.#.###..........#..#..#...#.....#.#..##.......#.##........##.#..#..##.......#.......#.....##.###.#........##..#..###.....#.....#.........#..........#..##.#....#..#...#.#.....#..#.#.......#.....##...#..................#.......#.....#.#.##...##........#.............#..##.#.#####..#....#....#.#...........##....#.....##......##.....#.........#.#.#...###..#.....#...#....#.....#.#.##.......#.....#.....#.#.....##....#.#..#..#..##...##...........#.....#...#....#..........##.#.##.##........#..............
.#..#............#.......#...#..#.#.#....#..#.......#.##...#...............####.##..#..#.....#........#..#...#.#.#....#.....##....#.....##.#........##...#.#...........###...#.........#...........#....##..#..........#.......#.......#..#...#.......#..#.........##.#..##........#..#...##......#......#.#...#.#...#.......#.......#...##...#....#....#.#........#............#....##........#.#....#...#....#.#..#.##...#...#.###.#...#.#..##...##...####..#.#..#.........................#.....#...##.....##...##..#.#..#...#..##..#.#........#...#..........#....#....#..#.....#.....#.#......##....##..#.#..#........#......##.....##.#..#.........#.....#....#.....#....#.....#..#....##...................#.........#......#...#.........#.....#...###..#......#...#........#.#.#..#.#..#.....##...##......#...#.......#......#....##..........#..###...........#.#.#....###...#.#.#.........#....##..#....#....#......#####.....#..#........#..#....#.....##..............##...............#.....#...........#.............#
#......#.........#..#...............#.#....#...##...#...#..#...........#.###........#...#.#..#....#...#.....###......###....##..........##.####....###...#..#.........###....##..#...........#.....#....#.##.........###........#..........##....###...#...#........#.##.#....#...##..#...#..........#...#...#.#.....#...#......#...####..###.#.....#...#.#..#..##.....#....#.....#...#........#...#......#..#.#..#....#...#.....#...#...#.##.####.......##...#.#.##...#......#............#..#......##.#.....#.....##.........#....#.##.#.#......#..#..#.#...#..............#..#..##.......#.......#.....#....#..........##..#....#.#...##....#..............##..#.#..#..........#..........#.#...#......##.....#.....#....#.......##...#...............#..#...#....#.#..#...#...#.#..###.##.#.###.#......#.#...#.....#.......###.........#...#...#................#.#.#....#.....#.#...#.#....#..#.#..###...........##.......#...#...#...........#.#...#...#..........#..........##...#...........#....##.#..#....#....#.........##
.##........#.....#...........#..#..........#....#......#.......#.......#.####.#.##.#...##.##........#.#..#.#...#..#...#.........#.......###.#.#..#.###...#..##........###....##..#..#..#........#..#.....#.##..........#.......#.#........###.#..###..##.#.##.........#..##........#..#...#.......#......###.................#..#...###.....#.#..#..#...#.##.#...#.....#....##...##........#...#.#.........#.#.#.#....##.........#..........#.##.#........#...#.#......#......#...........##.#.......####......#...#.#...#.........##..#.#.#....#....##.#.#...#.###.......#..##....#........#............#...##...........#......#....#..##........#.....#....##..#.#..........#.............#.#..........#.......#...#...#.......#.#...#................####...##.....#......#.....#...#...###...##..#....##........#.....#.....#....#....##.......#..#...##.......#.......#.##.##......#......#..#.#......#.#.#..#..##.#......###.#..###...#....##.#.......#........#.#.......#....#..##................#..#......#.#..#.........##
.#.....##..#.....#..#......#....#.....##...##...#..#..##...#..........##.######..#.....#..##......#.#....#.#.##..##...##....#..#..##.#.....#.###....#.......###.....................#...................##...........###.......###.....#...#.##.......##.#.#.#..#..##.##.##.......#...#.............................##...#...#......##.#..#.#.......#...#.##.#..##.#...#.....#...##..#.........##..##.....#..#.#.#..#.##.........##......#....####..#..........#..##.........#..........#.##.......####.#.....#..#..............#...#.#..#......#.....#...............#.#.##.##....#......#.#......##......#...#.##.....#..#.....##..##..##....#.#.#.....#....##..#...............#.....#....###..........#......#....#...#.#.....#.##..#.#.....#......##.####..##.....#...#......#.#........#...##.........#....#.#.......#....#.....#.....#.......#.#....##......#..#...#.#.##..#..#................#..####...#.......##....#..#.#........#........#.........#................#..###...............#.#.##.##.#....#.#....#.....#..#
#......#.#.#.............#......#.#.#......#.......##..#...#...........#.#.###..##.#....#.##.#......#.#....##..#..#...##....##.#..##.#....#..#.#.#.......#.#.#........#.##...#..................#..#.....##..........###.......#.......#....#.....##...#.#..#......#..##.#....#...##..#....#......#..#...###.....#.......#............#...#.#......#....##......#...............##...##....#...##...#......#.....#..#..#...#...#...#.##....#...#.#.##....###...##.................##....####.#.....#.###.......#.#.###.#....#..#......##..##.........##...#...#.##....#...#...#.#...#.......##.....##......#..##.##..#..#.##..#..##..##..#..#..#.#.......#....#......#..#......#......#........#..........#.......#...##....#......#...##.......#......#..####..##.....#..#.......#...####.#....###...#..........#.#.......#....##....#....#...#...##.#...............#.#....###.#...#.............#.#......#...#........#....#######..#.#...#.#..#.....##...###....................#....#...........#.#.##..#........#.#..#.....#.#.
#.....#..................#...#....#......#.##..#...##.#........#..........#..##........#..#####.....#.#....##....#...##.....##..#....#...##..#.#.#..##.........#.......###...##..#.....#.....#..#.....#.#...#.......#.#........#.......#..##.................#......#.#.......#....#......##......#......###.###.#..##..........#....#....#.#.#.........##.#.#..##.#........#.....#..#...........#.##.#...##.#.#..#.#......#......#..##..#......##.#.....#.#..##..##...#......#...##..........#..#.#..#.#............#.#...........#...#.##.....#.#..#..#.#...#..#....#.#.##.##.....#.....#..#............##......#.....#.....#..##...#...#.#....#.#..........##..#.#..........#.....##......#.#.#........##.....#.....#....#............##.....##........#.#....#...#.#...#..#.....#.##...........##.#.....#....#.........#....#....##....##..#...##.....###......#..#.....###..#.#.......#....#....#.....##.#.#........#....#.....#....#...#.......#..##...###......#...#.....#...##..#...........##.#.#...#........#.##.......#..#
###.#.###..#.....#.......#.#.#..#.....##.#.#...#....#......#...#.............#.....#...##.###.........#.....#.##.##..###....##.....#.#....#..#.#.#.###...#.##.##.......#.#...................#..........##.#........#...........##.....#...###...#.#.....#...#.....#......#.....#.#......................##..#......##...#...#..#....#.#...##......##.....#..#.........#....#...#.....#....#...###.........#.#.............#...#...#.......##.##....#....###..#...##...#..........#......#....#..#...#.##..#...#.#.#.#.#....#......#..##.###......#..#..#........##.......##.......##.....#.......###.....#..#.......#..#.....#...#.......#....#.#............##....#..##.........#..#..#.....#..#................#...##....#......#...#.##.....##......##...#...#.....#..##......#...##.#.###.....#..##...##....#.#...#...#...#.#...#......#......#..##..#.#......#....#.#.#..#.#...#.#...#..........#.......#....#....#........#.....#.#..##....#..#...#...#.#....#...#.#.............##..........##.#.#............#..........#.##
#.#....#............#.............#.#.#.....#...#..##......#...#......##....#.#.....#...#....##...#.#....#.#.#.#..#..##........##.#..#..##.#.#.#.#.#.....#.##.##.......##....##..#.....#.................####.......#.##........##............#..#.#.......#...........#...........#.......................#...#................#...##.#..#........#.....##..#...#..........#...##....#....#.....#.##.#...#..#.#..#.#.#....#.....###..#..........#.##.....##..###.##...#.....##....#....#..#.....#.#.#.....#...#.#.##..#.#..#.......#..#.###....#.#..##.#.#...#.#.#...#.#.#..#......#.....#.##......#....#.....#........#.#...#..###........#..#....................#.....#....#.....##....................#.....#..........#.....####.####..................#...#...#.....#..#...#...#.##..###..#.##.......##.......#.#...................#...#.......#..#........##.#............#.#...#......#....#..##.##.#.#......###...##...###..###.....#..##....##...#.....##.#............#.#..#................##.##.#......#..#.#.....#...
.#..#.####.#........#....#...#..#...#.#.............#..#...#...#......##.#.####..#......#.##.#......#......#..#..#...##.....#...........###.###.....#......##.#..........#.......#..#........#..#.......###.#........#.#...............#..#####..###.....#.###..#..#.....##.....#..#......##.........#...##...##.#..##.......#..#...#..#.##.#.#.....#...##...#...#.....#....#...#.#..#.........##.....#...##.#...##.#......#.........#...#..#.###..##...#.##....#.##...#..........#.....#.#..##....#####...#.............#..#..##..##.....##..........#.#.....#.##........................#.......#...........#.........#..#..#...#...#..##.#..#.#.#.....#....#......#....#.......#...#......##..#.#..............#...##..#.#.....#......#.......#.....#..#.##...#...#.....#......#......#.#.##..#.##..#.........#.....#...#...###...##............#......#.#.............#.####..##.#...#.#....#..#.#...#..#...........#.........###..###..##...........#...#......#...#.#.....#...#...##...............#.....#......#.##...........
.##.#.#..........#..#....#.#.#....#......#.##..#......#....#...#.......#.#..#.#....##..#...#........#.#....###...#...#.#........#....#..###.#.##....#..........#......##.#...#...#..#...........#..#....###.#.......##.#........##.........#.#...##..........#..#...#.#...#...#.#..#.....................#.#..##................#...#..#.####.......#........#..##.#...#........#.#..#.....#...##...#.#...##.....##.#.##.........###.....#.##..##...#...##....#...##..........#....#.....##...#.......#..........#...#.#.#.....#....#.##.###......#..#..#.#...#.#.....#.#.#..##.....#........#.....#.....##...#......#....##.....##..##..##.#....#.#..........#...#..#..#.#..........##......###.#.#......#.......#...##..#.#.....#..#.##.#.....##........#.#...#....#.#......#........#....#.#.#...........#....#...#.#...#...............#...#...##..#..###.........#...#...##.......#.#.........#.......#..#.......##.#...#####......##..##.#.....#.............##...#.#.....#...#................#...#..##......#.#....#.......##
.#..#.###................#...#.........#.#..#.......#...#..#...#..........###.#.##..#..#....###...#........#.....#...#.#..........##....#.###....#..#....#..##...................#..#..#........#..#.....##.#.......###...................##..#........#.#..##..#..##.#...............#...##.........#.....#.#...#..............#...#..#..#...#..#..#...#.#..#...#.....#....#...#.#...#....#...##.....#...#....#.#..#..#...#...#.#...##..#.....#.#......#.##..#...................##.....#.#..#....#..#.......#..#...#...#......#...#.##.#......#.#...#.........##....#.#..#.##....##.......#............##..###..........#..............#..#..#.#.#..............#.##.#.......#........#........#.#......##..........##..........###....#.......#...........#..##...#.#...#..#...#.#..#....###.#...#.##...###...#.#.#.#........##..........#..#...#......##.......#..#...#...##.###.#.#.#.#.......#.#..####..#.#..#...#.....###....#...##..##.#...#.#..#..........#............#..##...##..........##.#.#..#..#......#.##.........##
.##.#....#.#.............#.#....#.#.#.##...#...#...#....#..............#.##..##.##........###.....#..........#....#..#.#.....#.##.......#.##.##..#.###.....##..#......#.......#..#.....#.....#..#..#..#...###.......##.#.......##......#...#.#...###..##.#..##.....##..#.##...#...##......##......#..#...###.###.#...........#..#......#.##.#....#.##...###.....##.#........#...#....##..........#.##.#...##.#.#.#..#..#...#...#.##..##....#...###..#...#.#...#.#......#.....#.............#.#......#.###..#..#....###.#...........##....#......#.#.......#...#...#...#.#..#.##.#..#.........#....##.....###..#...#..#..#.##......#..#...........#.......#....#.........#.........#...#..........#........##......#...#.....#.....###..####.....##.....##.####...#.....#..............#.#..###..#.###......#.#.......#.#.........#.........##..#...#..#.....#......##...#...#.##...#...#.#...........#..#.##..#....#...##......#.##.#.......#......#.#.......##.....#...........#..#.#..#...........#....#...#.#....#.#.#............
.##.#..##..#........#........#..#.#.#..#.#.##...#...#...#..#.............##.###.#......##.#.###.....#.#..#.#...#.#...###....#...#....#..#....#................##.......##...........#..#.....#.....#..#.....#.......##...........#...........#...#.#...#....##..#..#...#.##.....#.#...#...................##..##.....#..........#...#.##.##......#.##...........##...............##..#.............##.............#.#.#....#.....##..#...#....#.#...#..............#...#.....##...##.....##...#.....#......#..##.#..#....#..#.............#.......#..##.......#..#....#.#.#...............#.##....###....#.#...#..............#..##..#....#......#.#.....#.....#....##.#..#....#..#...#.#....#.....#.............#........#.........#..#.#......#......######..........#...#........#.##...........#.......##........#..........##...#.....##..#...#...#..#.........#.#.......#..###.#.#...#.......#.##.#.##..#.#.....####...##.#.#.#..#....##.#..#...........##......#.#...............#...........#.......##.#......#..#.#.......##
#.#.#.###........#..#....#...#..#...#.##...............##......#.......#....#..........#..........#.#......##....##..##.....##.....#.#...#.#..##....##...#.#.###.......#.#...##..#..#..#...........#..#.#..#.........###........#.................##.......##...#..##.##..#.....#.#.......##......#......#...##......#.......#........#.....#.#..#.#.....###.#...#.#...#....##.............#.......#......#..#.#..#.#......#...#.#....#.......##.#..#.........#...................##.........##.....#.#.......##.#.##..#.#..#..#...##....#.#....#.....#.#.......###.....#..#.#..#...#.....#..#....#.#........#.#........#.##......#...#..........#.#..........#................#......#.#....#............#......#.....#..#.#.......##.#.#.......#........###...#......#..#.........#....#..#.#.###.#.##...#.....#...#.....#...##....##.....#..#......#...##.......##...#.#.####..#....#.#.#..........#..###..#.#.......#.....#.##.##..###..#..#.....#..##...###..........#.....#...#...##...............#...#.#...........#.....#.##
#.#.#..#.#.......#..#....#...#....#...#..#.....##..#....#..#...#.......#.#.###.....#....#..####.....#......#..#......##.....##.#..##.#..####........#.......#..#.........#....#.....#...........#.....#...##........##.................#..#..##..#.#..#.........#..##.##........#.##..#....................#.###.#..##.......#..#...#.......#....#.#.........#..##.#........##..##...##....#...#.#....#...#.......#........#......#......#.##.#.##.#....#..#.......#.........#....##.....#....#..#.....#...#...#.#.#.#.#.#..#...#..##....#......#.......#.....#..#....#.#.##.##..............#....###....#.#.#.#.#........#...#..#.......##.#............#.....#..#....#..#....#......#.......##...#......##......#....#..#.#........#.##........#.....###.##..........#...#......#.........##..###.#.#....#.#.......#.........###...#......#..#...#...#..##.......#.........#.#.##..#.............#.....#.##.#.#..#....#.....#...###..###..##....##.....#...#.#...#..#.#..........#.#.................#.#...#.#....#.#.##.......#.##
###...##.#.......#..#....#.#.#..#.#...##.#.#.......#...#...#..............####...#.....#.....#....#.#....#.#####.#.....#.....#.##.#..#..#...####.#.#.#...#..####......###....#...#..#........#.....#..#.#.#.#.......##.#.......###........#...........##........#.....##.##........#.......#......#......#...#.#.#..##..........#....###......#.....#....##..#.....#...#.....#..#.#...#....#...#.#..#.#...##.#...##........#...#.##...#..#.#...#...#..........#.........................#.#...#..#...#........#..#..#..#....#..##..##.##.##.....#.#...#...#...#.##......#..#.#............#.##.....##........#.#.#...............#...##........#.........#........#.##.#..#..........##.......#....#.......#......#...##..#..........#..#.#.....##.....###...#.............#..#...#.....##...#....###.#..........#.#...#...#...#.#....#....#...#......#...##.......##.#.#.#.##.#.#...#...#.........#..........#.......#.#....#.##..#...#....##.#...#.#........#...........#........#.....#...........#.#....#............#.#.....#...
..#...#.##.#.....#.......#........#......#.##..#...##..#.......#......##..#..##..#..#.....##..#.....#.#....#.##........#....##....##....####...#...#.#........#........###..........#..............#....#..#........##.#........##........###.....##........#...#...#....##...#.......#...#..............#.#...#.#..##...#......#.....#...#...#....#....####.#.....#...#........###............###.#.........#.#.##.#.#............#.......#..####.#......#...##...#..........#...#.....####..#.......###..#..#........#...............#.#.#.........#....#.....#.#...#...##.#..#..##.....#.##....#.......#..#.#..#..#..#.##.....#.......#..#............#....##....##..#.#....#..#...#..........#.#......##.....#....##..........#.#.....#......#.....#.#.......#...#.#...#..#........###.##.#..###...#.........#.#.#.........##.....#....#...#...##..#...........#........###..###.....#.#.........#....#.#.#.......#..#...#.#..................##.........#..........#.#........#.#.......................#.#......#.##.#.....#..#
#.....#..#.#.....#.......#.#....#...#....#.#...##..............#......#....#..#.........#.#..##.......#..........#....##....#..................#.#..##...#.#####.........#...#.........#........#..#..#...#.#.......##.........#...........##....###...#.#..##..#.....#.........#.##..#....#......#......###..##....#....#......#....#......#.#....##...#....#..#..#...#.....#..###..#.....#...#......#......#.#.##.#..#.......#.#...#...#..#.#..#.##...##.#..#.#.#..........#.....#....##.#.##.....###.#.....#........#.#.....#...#..#...#.....#....##...#.....#.#.....#.##.##.....#.......##......#....###..##..#..#....##.........#.............#..........##.......#..#...........#.#.....#..#........##...........#..#.........##.#.#.............##.###....#.....#..##..........###..#..#.#.#...##...##....#...#.#........##....#....#...#...##..#..###.......#.#.....#....##.............#..#...................###...##..##....#....##.#.....#..##.....#....#.....#..........#.................#.##....#......#.##..........#
#......#.........#..#....#.#....#.#.#......#...#...............#.......#..#..#...#.#...##....##.....#.#....#..##.#....#........#.............##....###...#.#..##........##...#..................#..#..#...#.........##.#.......#..............#...#....#.#..##......#..#..........#...#..............#.....#...#.....#...#......#...##.#..#.#.#..#..#...#.##....##.#........##..#....#...........#.#...........#.##........#.............#.##..##..#....#.#...#.#.##...#......#.........##.#.....#.######.....#....##..........#......##........#.#..##.#.#......#.........#.#..#..#......#..#....#.#........###.##..#..#.#.......#..##.....#....#.......#....##.......#.......#..#.....#....#.#.#.#......##.....#.....#..........#.....##......##.....####..#..##.....#............#.#.......#.##....#............#...#.......#.#...##.....#.......#.....##........#.#.....#.#....#.#.#...#.........##.#...#...#.....####...###.#......#...##.#...#....#.....##....#.#...#........#....#................#...#........#............#.
#.....#.##.#...............#.#..#......#.......#.......#...............#.#...##.##.##..##.###.....#......#.#.###.#...###....##....##.#...#.......#.##.......##.#......#.##...#...............#..#.....#..##.........###.........##................#...#..#.###..#..##....##.....#..#..#...#..........#...##..#.#.#...#.......#........##.#....#....##......#...........#.........#....#....#...##..#..#....#.#.#....#......#......#..............#......####..##..............#...#...........#....#.#.##..#..#..#.#.#.#........#..##.##..##....#....#....#...#..##...#.#..#....#..##.......##....###.....##.#....#...........#..#.#.....#..#......#..........##..#..#.#.......#..#.....#....#.....#..............#....#...........#.#.###.......#.....#.##..#..##...#............#....#...#..#.#.....#.....#....#...#.....#....##....#....#...#...#...#..##..................##.#.....#.#...........#..##.#....#.......#......###.#.....#..#..#........##...##...........#........#.#..##..........#..#.##..#.#.........#.#.....#..#
###.#..#...#.................#......#.#.....#...#...#.#........#.......#..#####.....#...#.###.#...#.#.#.....#.##................#.##....#...#.#..#.#.......#.#........#.##...#...#.....#.....#..#..#....####........#.##.......###.....#...##.#..#.#...#.#.###......#.#.......#.......#...##.................#.#.#..##.................#...##...........##......#..#........#...###...#........#.#.##............#..#..#...#...#.###.....#.#..#.##.##...###...###............##...##.....#.#..#..#.....##..#........##.#....#...#..#...#...#....#.#..#..#.......#.....#......##.....#.......#.....##.......#..##.##.......#.......##.##.....#..#.........#....##....#..##.........#...#.#.....##.#.#.......#..........##....#.....##...##.#.............##...#...#........##..........#..#..###.#.#....#...#.#.....#.#.#...#....##...#.....##......##.#...###.............#..##...#....#...#..........#..##...#..........#...######.....##.....#.....#.......###...##...........#..#....##...............#..#.......#.#..#.......#.##
.#..#.#.##.......#.......#.#.#..#.#....#...##..##..##.#.#..............#.#......##.##.....#.#.....#...#......###.....#..........#.#.....#..##.#.....#......#...#.......#.....#..................#........##.#.......#............#.....#..###.....##..##.....#.....##.##.##...#.#..#......##.........#....##.#......##...#......#.....##....#.#..#..#...###..#...#.....#.........##..#..........##.#..#.............#.##...........#..#..#.....###..#.....##....#......#......#.........####.##..#.###..#.....##.#.#.#.#....#..##.....#..##.......#...#.#.....#.........#....##....#......#.#.....##.....#....##.##.......##..#...##.#...#..#..#.........#.....#.....#..#............#...........#.#.......#......#....#............##.####......#.........###.........#..##..#.....#......####.##.##.##...#.#.......#.#.............##........#..........#.#......##.#.#.#..#....#..#.....#....#..#.#..#.#.#...#..#.....#...###...#.....#...#....##.........###...##...#.#.........##..##..........#..#.#.....#......#.#........#.#.
###.#.##.#.#.....#.......#..........#....#.....##..##...#..............#....#...#.........#.#.......#.#..#.#.#........##.......##..#....#.##..##...#.#.....##.#.........##..........#..#...........#....#..##.......#.##.......#.#.....#...##....#.........#....#..#...#.##.....#..........#.........#...#...#...#...#.......#......#.##...#..#..#.#...................#....#....##..#.........##...#.#....#.#...#..#..#...#.....##..##..#.##.#..#......#..#...#..#....#......#...##.....#...#........###..........#.#.#.#..#..##..#..##..##.........##...#...............#..##.#...#.............#........#..#...#........#..#......#...#..#..................#....##..#.#....#..#.....#....#.#...#......#...........##...........##....#.............#.##.....##.....#..##......#.....##..##....#.#.##...#.......#...#...#....##.........##......#..##..#.#......##........#.......#.#.#.#..............###......#.........###..#.#...#...##....##....#....#.#....#..............##...............##...#..............##.#.....#..#
##......#..#.....#.......#...#..#.#....#.#..........#..##..#...........#.##.#......#...#...####...#.#......#.##...#....#........#..#......#.#.#....#.....#.#...#......####...#...#...........#.....#....#..#........####........#......#..#.###...#...##.#......#..##.##..#.....#.##.................#.......#.#....#....#...#..#....#....#...#.........#.#.....#..#...#....##........#....#....##..#.#......#.#....#..........#.....#...#.#..##........#.##....#.............#...##....###..#........###..........##..#.#..#.......#.#....#....#.#..#..........###.....#..#....#...#.....#.#......#.......#.....##.....#.##.....#...#...##.#.....................#....#..#.......#...#......###.#.........#..........#...#.........#...#.#.............#...##...#...#....#...#...#.#....#.##.#.##.##..............#.#.#.........#...#.............##..#..##.......##...#....##..#.....#.#.........#.#..##..#.#.#.....##.#.....#.###...#....##.....#.#..##...###................#..#.#..#...........##.#..#..#........#..........#..#
#......#.........#.........#.#..#...#..#....#..##...#.#.#.............#...###.#.#...#......###....#......#..#.....#...##....#........#..#.##.###.#.........###.#......#.#.....#........#.....#........#.###...........##.......#.......#..##...........#.#..#...#..#..................#..............#...#.....#................#...###..#.##....#.##...###......#.#........#........#.....#.......#..#...#..#....#.#.##.......#..##..........#.##.#.....##...#...#.....................#..#.....#.#####...#...#....##.#....#...#.....#.........#.#...#.#.#...#.......#.#.....#.#...#.......#......#.....###..#..#...#....##..#..###.....##.#....#............##....##...............##......#....................#.......#.#.....##...#.#......##.....#.####...#....#.#..##..#...#.#.#....####.......##....#....#.#.#..........#....#......#..#....#.#.....#......#..#...#.###...##.#...#.#..........#.#####.#.#......###...###...##...##...#.#..##.#...#...#.#...#......#........###...#..........##.#.##..#........#..........#.#.
......#.#..................#....#...#.##.#..#..##..##..........#.......#..#.###.##.#....#..#........#....#.###...##..#.#....##.##.##.#.......###.........#.##..........###....#..#..#....................###........####.......##......#..#.......##..##...#.#.....##.##..#...#.#..#..#..............#...#...#...#..#....#......#...##....#...#....##...##...#..#............#..#...............##..#........#...#....##.........#...##..#.##.#....##...#.#...###.................##.............#.##.#.#..#...#.#..##.#....#..##..##..#.##.............#.....#.#.#..........##....##.....#........#......#...............##..#....#.....#.........#...........#..#.#..........#......#......##....#......##......#................##....#......#......##.#.#.............##......#.#.#.##.####.#..#..#..............#.#........##...##....#...#...#..##..............#.#....#.#...........#....#..#..#..#.#....#.....##.....######.#..#.#..#..#..#..#...#.....#........#...............#............#.#....#..#........##.#.....#...
#.#.#.##.#..........#.................#....##..##......#...#...#.......#..##.#..##.#...##.###.#.....#....#.#.#....#..###........#..#.#..#####..#...###.....#.#........##.#....#..............#..#.....#.####...................###.....#..##..#...#...#..#..##..#...#.....#...#.#..#..#...#..........#....#....#....#....#...#.........#....#....#......#........#.#...#..........#............#...##.#....#...#....#.#....#.....#.#.#........####.#.....#.#..##...#...#......#.........###......#.....##..........###.#.......#...#..##...#....#.#.....#.......###.....#.......#..#......#.##.............#...#..#..#..#.##..#......#......#..#.#.#.....#....##....#..##.#....#..#..........#............##.....##...#...#.#.....####....#.....##.....#.####........#.#..##..#...#.#.#.##.#....##..#.#..........#...#.#.......#.#....#.....#..#......#....##......................#.#.#...........#.##.#..............###...######.#...##...#.....#.#...#.....#...#..#.#.......#..##...##..........##....#.#.......#...##.#.........
.#.....#...#.....#....................#........##......##..#...#.......#...###...#.....#.....#...........#.###..............#.....#..#..##...##..#..##......###.........##...#.....................#..#.###.#..........#.........#........#.###..###.......##...#...#.#..#................##......#..#...#.#.#...#..............#...###....#.......##......#.....#.....#....#...#.#.............##.##.....##...#..#...##...#...#..#...#..#.#.......##...#....................##...##.....#.#.#...#....#.#..#.......#.#.#....#...#..#..##.#........#..#..#.#.............#.#..##.#............#.....##......#.###..#..#........#..##...#..##.#....#.#..............#.##..#.#....#......#......##..#........##.....##.........#.......#...###.....#.......#.###....#...#.....#..........#..#..#.#..#..#..#...##..........#...#..........#....#.......#......##.......#..#......##..#.......#.#....#..#.....#.##...#........#....###..#....#...##....#............#...#................#...............##...##.##.#....#......#.....#.#.
#......###.......#..#......#......#.#..#.#..#...#......##..#...#......#..#.#..#.##.##...#....#....#...#....#.#.#.##..##.....##.#..#.....##..#....#.#.#...#.#####........#........#..#........#..........##..........##.#........##.....#...###...###..#..#.#....#..#..#.......#.#.##.......#.........#...##..#.......#................#..#..#...........##.#.....#.....#.......................###.#.............##.#.#....#.....#.#..#..#....####..#....#.#...##..#...#.....#...........#.#.##....#...............#...#....#..##..#..#....#....#.#..##.#.............#....#.##....##.....#.........#.....#..##......#........#..##...#.....#......#..........##..#.#..##.........#...#........#.#.#.............##...##..#.#.......#...###.....#........##.#...##.....#..##..#.....#.###...###.#.....##...##....#.#.#.#...#.....#.............#...##.#...#.#......#...................#.#.#....#....#..#.#.#......#...##....#...##....#.#...#....#..#..##...#.....#..#............##...#................#.....#....#.#.#..........#.
....#..#.................#.#.#..#.#.#..#.#..#......#..#....#...#......##.##.....#..#....#.##........#.#..#.#...#.#.....#....#..##........####.#..#.#.#...#..####....................#..#........#.....#..##.#.........#.........#.........#......#....##.#...#..#...#.#..##...#...#...#....#.........#...#....##.#..##...#..........###.....#.#..#......#.#..#...#.#...#....##...##...#....#...#.#....#....#...#......#....#.....#...#...#.##...#.......#..#..###......#..........##....#.##.#...#.##.#.#..#..#....#.....#.........#..##..##......#...#.......#.###...#...##..#.#...........##....#...........##.##...........#....#..#..#..#..#...#.....#.....#.....#..#.#....#..#..#...........#.#......##......#...#...#.......##...#.##.....#......###...#.......#....#............#.#.###..#.##..#.....#........#.....#...#............#.......#.#....##.........#.....##.#...#.#...#.#..........#..##...#.#..#...#.....##.....#..#.#.....#...#.#.......##....##.#.#.#.....#...#...#............#.#.#.....#....#...#..........##
.#......#................#.#.#.........#.......##..##.###..............#..#.###.##.#...#..#...#.....#.........##.##..#......##.#.....#......#.##...#.#...#....#.......###....#...............#..#..........#........#.#..........#.........#...........#.#......#...#.#..##...#...##..#...#.......#......#.#.#.#.....#.......#..#...#.#....##......#....#.#.....##.#...#....#....#...##........#....#......#.#....#.#......#...#.#...#.....#...#........#.......#..#...#.....#....##....#.##.##..#.####.#..#..#....###...#.....#....#.....##......#.............##......#..#..#....#..............#.......##..#..##..#..#.#......#.#..#..##......#............#.....##.##.#.......#..##.......##.#.#.............#....#.....#......###..##......#.......#..###...#.........#..#...#.#.#..#...#....#....#....##...#.#...#........##...#.....#.......#...#...#.......##.#...#.##.#.#.......#.#.........##....##......#...#......#######...#...##.#.....#..#....#........#.........#..##...#...........#..#....##......#.#.#..#.....#.##
#.......#..#........#....#.#....#.#...#..#.#.......##..##......#..........#####....##..#...#.##.......#..#..##....#....#........#..#....#.#.##.....##....#.##.#.......##.....#...#..#..#........#.......##.##.......#.##.......##.........#..#....#.................#..#.#....#.#.##..#...##......#..#....#..##......#...............#.#.#..#....#..#...###..#...#.#...#.....#..###..##....#...##..#..#....#.#...#..#......#.......#.##..#.##....#.##....#.#..##..#....#.....##....#......#..#...#...####..#..##...##..#.#..#..##..#......#...........#.#.#...#.#.#...#...##.#......#........#......#....##..###.##..#....#.......#..##...#.#....#............#...#..#.#................#....###..........#......#.....#...........#...####............#.##..#..#......#..#.......#.#...##.#.##.##.##.##...##......#.#.....#.....#...##.....#..#...##.##...##.......#.........#...#....#.#......#..#....##.#.......#...#.....###...##..#..........##.....#...#............#.........#...#...........#..#.....#......#...#..#.....#..#
###...##...#........#....#.#.............#..#.........#.#......#......#...#####........#....###...#...#..#.#...#.##...##....##....##.#....###.#..#...........#........###.....#........#........#.......##..#........#.........#.#.....#..#.#.#..#..........#......##.#..#....#....#......##.............###.#.#....##..........#...##.#..###.......#...........#..#............#.#..##....#....#..##.....##.#.........#.........#.#.#...#.......#......##....###.#....#......#...##.....#...##........#.......#...###.........##..##.....##.........##.#.#...........#....#..#.....#.....#.##....##.......#.###.#......#.#.......#..##..##..............#....##..#..#.#..........#...#.#.....##.#.........#.....#....#...#........##...###................##....#...#.#..#...#...#...##.#..#.....##..#......#.......#.....#...##....#.........#...##.##....#......#..#.#.#..#.#...#.#..........#.........###.#.#.....##.#.....###..#...##..#.....##.#.......#.....#.....................#..........#..#.#...#.#........##..........#
###.#..#.#.......#..#......#.#..#......#.......#....#.#.#................#.###...#..#..#...####..........#.####...#....#...........#.#..#.#.#.......##.....#.###......#..#....#..#..#..#........#.....#..............#.#...............#...#.#...#.#...#........#..##.##.#....#.#.........##.........#...##..#......#....#...#..#...#..#.#..#....#......#..#.#..##.........................#.....#........##.#...##.#..#...#.....#....#..#.##..##..##....##...##...#..........#.........#.##..#.........#..#.....#.###.#.#.....##.....##.###....#.#.......#......##...#......#.....#........##.....#.........###........#.#...#....#..#.....#......#.....#...........#............#..##......#.#.#.#.......#.....#.....#.............#.#.##............#..##.....#.....#..#...#...#.#....#.###..##.##......#.....#...#.#...#....#..................#..##..##............#......#.#...#.#.#...........#...###..#....#...##.....##..#.#...#....#....#..#..#.....##......#.#.#.............##.............#.#.....#......#.#........#.#.
##..#...##..........#....#.#.#......#.#..#.#....#...#.#........#......#...#.....##.##......#.##.....#....#.##....#...#...............#..#....##..#.#.#......##.#.........#....#..#..#..#..............#.###.#.........##.......##..........#.....##...##....#...#..##.##.##...#......................#...#.#.#...#.......#............##.##.#....#......##.#.#..##.#...#....#...#.#..#.....#.......#......#..#.#....#..#...#...#.###..#....##.##...#.....##...##..##..............##....###..#...#..#.##.........#.....#.#..#...#...#.....##......#..#....#.............#.#...#.....#.....#.#.....#.#....#.#...#.....#....##..#....#.##..##......#............##.......##......#.....##....................#......#...#...#.#........#..........##.....##.##.#..##.....#...#..........###...#.#.#...#..#.........#.#.#.#...#.........##....##..............#............#.....##..##.....#.#....#..#....#.#.#...#......#.#........##....#...##....##.#..##...###...#....#.#........###..#............#....#....#....#....#.#........#
..#.#.####.......#..#........#..#.#....#.#.........##......#...#...........##.#.##..#.......#.....#........###.#.#....#......#.....#.#.....###.#.#..#....#..#..#.......##....#...#..#..#........#.....#.###.#..........#.........#........#.##.....#...#.#.##......##...........#.....#...#..........#...#.#..##....#....#..........##.....##.......#....###.#.....#............###..##....#....#..#......##.#.#....#..#.............##............#....##....##..##.........##....#....#.##.##..#....##...#...#.....#.#.#......#..#...#.#.#....#.....#.#.#......#.........#.##....#.........#....###....#.#..##...........#.....###.....#.....#.#.#...........#.....#.##......#..#..##.#....###...#......##.....##...##..........####..#.......##.....#....##.......#.#..##..#.........#..#..#.#.....#....#.......#...#.........#...#.....#........#.##...##......#..#.....####.#...#..........#..#....##....#....#..##.....#.##......##...##....#..#..#....#........#...#.....#...##..##..........#..#............#...#..#.....#...
#.#.....#........#.......#......#.#.#..#.#.#...#...#..###......#......#....###..#..#....#.##.#......#.#..#.##....#...........#.#...#....###..#.#....#.......####........#.....#..#.....#...........#....#.#.#.......##...........#.........####....#...#...##...#..#...#.#........##..#...##..............##.#.#....#........#..#.....#..#.#..#..#......##.......#.#...#........##...#..........##.#......##...#.#..#.##.......#.#....#.......####.##...#.##..#.#.#...........#....#.....##..#.....###.........#.#...#......#..##..#..#..###....#.#.......#...#.#.#.....#.##..#.#...#..............##.....##.###........#..#..#.............#..#.#.#..........##..#....#.......#..#..##.#....##............#.....##...##....#......##.....#......#.....##....#...#.....#..##..#.......##...###..#####.#......#.....#.......#....#....##....##..#....#..#...#............#....#...##....#.#.#.......#.#...#..#...#.....#.##......#........#..##..........##....#.........#...........................##......##........#.##.......#...
....#.##.........#..#......#....#...#.#..#.#........#...#.................#...#.##.....#....#.......#.#..#.#..#......#.#.......#...#.#....##.#...#.#.....#.##..#.......#.#....#..#...........#..#..#....#.##...................##.........#......##......#.##......##.##.#....#....#..#...#...............#..#.#.#...#...#......#....#...##.#.#..#........##.#..#..#........##..#.#..##........#.#........##...#..#....#...#...#...#.##..#.##.#..#.#....####......#....#.....##.........#.#........##.#.#.....#.....#..#....#......#...#...#..........#.#.#.....#..........#.#..#.........#.......###.............#................#.##...#.#....#.#.....#........#..#.##......#........#....#...#.#......##..........##..#.......##.#..##.............###..##...#...#.....#..#...#....##..#..#.#.###.#....#.#.....#...#........##...##........#......#.....#......##........#....#......#......#..#.##..#.#....#..#..#.##...#.........#.#..#...........#..........##...#..........##...#...........##.#..#..#......#....#.......#.#.
....#..###.......#..#....#......#.#.#....#.....##..##..#...#..........##....###....#......#####.......#....##.....#....#....#..#..##....#..#..##.#.........#............#....#......#........#.....#..#.##.............#.........#........#.###..###..##.#..##........##..#.....#.#...#...##......#..#.....#.##.....##.....................#..#.........#.#..#..#......#.............#.........##..##........#...#....#....#...#.#.#..........###..#....##....###.#....#.....#.....#....#....#..........#......#.#.##....#......#......#.###....#....#...........##.....#..#..#.#...........##....##......##..##.##..#.............#.##...#....#.#.#..................................#.......#....#......#...........#...#.......#....#..#............##....#..##...#.#..#.......#.#.####.####.#.###......#.#...#...#.#..............#....##..#...#...#..###......#..#.#.#.###...##...#.#.#....#.....#.#.##..........#.##......#.#..........#....##.........#......#.#.........#....#..##.............#.....#..........##.#........#
.#.....#.#.......#..#....#.#.#....#........##..#.......##..#...#......#..##..##.#..........##.#...#...#....#.#...#.....#...........#.#.....###......##.....###.#......##.#....#..#...........#..#.......#..............#.......###.....#..#.#.#..#...........#.....#...#.#....#.#..#..#...#..............##..#...#..#........#..#...#.#...#........#.......#.#..#...........#....#...#.....#...##.....#....#.#.#....#..#.........#.........#....##......#..#......#....#......#...#.....##.#..........#.#......#.#.###...#......#..##..#..##....#.......#.#.....##....#.........#..##........#...........#.#..#..##.......##..#..##..##..##.#..#..................#....#..........#...#.#......#.#.#.............#....##..........###....##............#.##......#...#........#...#.#.#..#.##...##....##.....#.....#.#.........##.....#.....#......##..#..#.........#.....#..##....#...#.#..............#.###.#.#..#..###....###.#..#.......##.#..#..#..##............#.#.#.....#..#.#.................#.##.........#...##.#.........
..#....###...............#......#.#.........#...#...#..#...#.................##.##.....##...##......#.......##.#..#..##.....##.#..##.......#####.#.###........##.........#....#..#..#........#..#..#..#..##.#.......##.#...............#....##...#.....#.#..##.....#..#..#......#.....#...##......#......##..#.#.#.......#...#.......##..####...........##.#....#..#............#.....#...................#.......#...#...........#......#..#...##.#....#.#...#.#............##...##.....##..#...#.#....#.....##...#.#.#.#......#...#.....#.....#.#...#.#.#...#.##....#...##.#............#.#............#.#.#.#.#...#....#...#...##..#...#......#.#.....#.....#..#.##..#......#.....##........#...........#.....##.......#.#.....#..#....#.....##........#.#...##...#.#...#..#.....#.##.#.#.##...##...#....##...#.....#.......#.#....#....#...#...#.......##......#..#.#......#..##.....#......#..#....#..##.#.#..#.........#...#.#...............#.#..##.........##.#.........#...#....................##..#......#............#.#.
#.#...###...........#...........#.#.#..#...#...#.......##..............#.##...#........#..#.##.............#.#...##....#....#...#....#..####.#.#...........##.........#.##...##.....#..#...........#.....###...........#.......##......#..##.....#.#...#.#..##..#..##.##........#.##..............#..#........##.........#...#........##.##......#.##......#.#..#..#........#.....#..#..........#.........##.#.#.......#.........#...##.....#..#.#.##.........###.............#....#.....#.#..#..#.#..#....#.....#..#..#...........##....##.......#...#...#......#....#.#.#..#.....##.......##.....#.........##..##.....#.##..#...##.##........#.#.......#....#...#.#...#.#.......#..##..........#........#.......#....#..#.#.....###..##..............#..##....#....#.#...#..#...#.........###....##.......#........#.#...#...###...##.....#......#...#...#........#...#.#.####..#..#...#.........#.....#.#..#....#....#.....#........#.....#.#..#..#..##.........##.#.........#........#..........#....#..##......#......#.......##
.#..#..#.#.......#.......#......#..........##...#......##......#.........#.#..#.....#......####...#...#.....#.#..##..#......#..#.....#.........#...##....#....#........##.....#........#.....#..........####....................##.....#...#.....#..........##..#..##.#..##.....#..#..#....#.........#...#.#..#..............#......##.#...#..#..#......##...#..#......#........#.#..#.........#...#......##.#...##...#....#......##..#....##......#....##......#.##...#..........#.......#..#.....######.....#.....##.#....#..##..#..##..##....#.#..#..#.......###........#.......#................#....#....#..##..#........#......##..##.#....#.#.....#.....#..#.#..##.#...........#...................##......#...##..#........###.#........#......##.#.#........#.#............#.#..#.#....#...#.#....#.......#.#.#...#.....#...#.....#...#.......#...#.......##.......##.#...#.#.#.#.........#.....#.##...#.......##...####........#...#.#...#.#........#....##.#.........#..#....#...........#..#....##.#........#..........#.
###...##...#...............#......#........#...#....#.#.#..#.............####.#.#..#....#..#..#.....#.#..#.#.#...##...#......#..#.#..#..#..##.##...##......#.#.........##.....#..............#..........#####..................#.#.....#..###....#.#..#..#.#.......#...#.#......#..#.................#...#.#..#..#..#....#...#......###..###.......##...###..#.....#........#...#.#........#........#......#...#....#.#....#...............#..###..#.....###....#..#...#.....#....#.....##.......#..#..##.....#.....##.#.#.....#....#.#..............##.........##....#...#..#.....##........#.....#.....#.#.#.#..............#....#.#...##.#......#.....#.....#....#..#..........#..#..#....#...#.........#.....##...##...........#...##.......##........##.#...#...#....#.......#.#.#....#..#........#.....#.....#...........###...#.....#...#...##.....#........#......#..###...#...............#..#.##.##.#.#..#..#.##...##..#.#.....#..#........#..#....#.#...##...#.......#...#....#...........#.......#......#.#....#.....#...
##..#.#....#.....#.......#.#.#..#..........#....#..##..........#...........#..#..#.#....#.##.##.....#....#.##....##....#.......#...#.#..#..#.....#..#........##.......#.#........#..#..#...........#..#.#..#........#..........#..........###.#..###..#.........#..##.....#.....#..#.................#...##....#.#..#....#..........#.##...........##....#...#..##.#...#.....#..#.#........#...#......#....#.#.#.#.............#......#..#..#..#.#.##...##....#........#.....#.....#....#.##..#..#.....##........#..#..#.#......#..#..#.........#.#...#.#.................##........#.............#.......##...#..#........#..#..#.......#..#..#...#.....#....#...#.....#......#..#...........##.#.#.......#.....##...##..........####.#.##.....#......#...##....#.....#...#..#...#...#....#.##.#..##.#..........#.........#...#.#...#.........#....#.##...........#..#.#.#...#....#.#.#.#.#.......#..#.#.##..#.#..#..##.......#.......#.....#.#..##.#.......###....#...#..........#.#...#..........##.#..#.##.#......#.##.#.....#.#.
#.#......#.#........#....#......#.#.#.##...#...#...#..#.#..#...#.......#....#...#...........#.....#...#..#.##.##..#..#.......#..#............###.#.##.......##........####...#...#..#..#.....#..#..#....##...........###.......###.....#..####....##..#..#..##.....#..#.........#..#..............#..#...##...#..#..................#.......#......##...#.#......#.....#........#....##........##...#.....##........#......#...#...#.#...#.##.###..........#..##..#....#.....#....##.....###..#..#.#.#.........#.#.....#....#..##...#.#..###....#....##.#.......#.......#.##.##.....#.....#.#.....#.#.....##......#..#..#..#..#...##..#..##.#....#.#.....#....#......#..#.............#.#....#.#..........#......#....#.....#.....##....#.#............#.##.....#....#................#.....##..#..#.........#...#.#.#.........###...##....##......#..#............#..#.....####...#.#...#......#..#..#.##..#......#...###.........##..###..#.....#..#.........#....#.#.........#......................#.##..#.#......#..#.......#...
.#..#....#.#.................#......#.##.#.##.......#..##.............#...#..#..#..##..##.##..#...#.#....#...#....#..##.....##.##.##.#....#...#..........#.....#........#....##..#..#..#........#..#..#.#..##.........##.......###.....#...##....#.......#.#.#..#...#....##...#.#.#........#......#..#...##......#...#..............##.....#..#..........###.#.........#....#...#....##....#...###....#...##.#....#............#.##...#.....#.#..#........##..#........#..........#......###..#......##.#..#..#..#.#...#.#.....##..#..#...##....#.#.......#.....#.......#..#..#.....#.....#..#....###....##....#..#..#....##.........#....#....#.#.#...........#.....#.#..#.......#.....#....#.#.#...............##....#..#.#......#.#....#.....#......###.#.#...#...#.#..#.......#....#.#.####...##..##...##....#.#.#.....#...#.....#.....##.......#.....###.........#.#.#..###.##........#.......#.#..#..#..#.#.....#.##...#.#....#.......##....#.....##.....#......#.............#................#.#.##.##.#....#......#.....#...
....#..#...#.....#..#....#........#...#..#.##...#..#..##.......#..............#.....#...#...#.......#.#..#...#.#.....#......#......#....#.#..#.#.#.#.#...#...###......####...##..#..#..............#.....#..........#..........###.....#..##.##....#...#...###..#...#..#.#....#.......#...##...............#.##..#..#..................#...#.....#........#......#.#...#.....#....#..##..........#....#....#.....##.#.............#..##..#.#.......##.....#...#..............##...#.....#.##.#......###.......##.#.###.#....#..##.....#..###......#..#..#.#.....#............##.#...#........#............##.#...##.....#.#.......##.##..#..#..#.#.......#..........##.#..#....#.....##.#..........#......#.......#....#....#.....#.##..##......#......##...#........#....#.......#.....#....#........##...##....#.#...#...#.....#....#....#..............#.#.......#.#.#....#.#...#.#...#.#....#..#.##.#.###...#.....#.#....##.#...#..#.#..##.#..##.#...#...#.....##.....#.....#..###...#.............#..#....#....#...##.#.....#..#
##..#...##.......#..#....#...#....#.#..#.#.....#......#.#......#......##.#..###.#..#...#...###......#....#..#..#.##..###....##.#.....#.....##.#......#...#.##.##......#.#.....#..#...........#........#..###...........#.......#.#.....#..##.#....#.........##.....#..##.##........#.......#.........#...#.#.##.....##.......#..#....#...#.......#.##...###..#..##..........#...#..........#.......#..#...#....#.#.........#...#.....#...#.##.#.##..#....#....###.##...#..........##......#..##..#.###.##..#...#.#.#.#.#.#..#...#...#.#..#......#.#...#.#.#.....###...#.#....#..#...#.......##.....##......#.....##..#..#..#..#....#..#..##.#.....................#.#...#.#....#.....##........#.#........#.......#...#...#.......###............#......#.#..#...#........#...#.....#....#.#.#...###..#.....#....#.#.#.#.......###...##....#..........##..###...........#.#.####.#.#.#.....#....#..#.....#.#.............#.....###.....#.#..##....#..........#......#.#...#.....#..#.....#..........##...##.##......#.#.##.........##
#.#.....#..#........#....#.#.#..#.#...#.....#..##.......#..#.............#.#....#......#...####.....#.#..#..#.....#....#.......#..#.....###.#..#.#..........##.#.............##.................#..#..#..#..#.......##..........##.....#...###...#.#.......###..#......#.##.....#.........#.......#..#...#.#.....#...#...#......#...#.#..####.#..#........#.....##..........#.........#....#.......#..#....#.#.#..#.#.##..............#..#.....###..#...#..#...#..##...#.....#.....#....####..#..#......#..#.....#.#...........#...##.##.###......#..#....#...........#.#....#..#...........#.....#.#......#.###.....#..#.#...#....#..#..#..#....#.............#.......#..#.......#..##.......##.#.#......#.......#...##....#......#.#..........##......#....#..#.........##..#........###.#.....##.#.##.....#.....#.#...............##....##..#...#................#.#...#.##.#.#.#.......#....#.....#....##...#..#..###....#.#.###.........#.......#..#....###....#.#...#........###..#..............#.#...#.#....#....#.......#.##
###.#...#..#.....#.......#.#......#.#..........##..##.#........#.......#..#####..#.#....#.........#......#..#.#......#.#....##..#..#....######.#.#..##...#.#.##.........##..........#..#.....#.....#.....#.##.......#..#........#.............#...#......#.###..#.....#...#...#.#.##..#...#.......#......###..#..........#...#..#.....##....#.#..#.#....#..........#........#...#.#...#........###.##.#...##.#...#....##..........#........#.....#..#...#..#..................#...#.....####.#...#...####......#.#...#......#.......#....#.#.........##.......#.#.....#...##.##.#..##.......#.....#.#......#..#......#.....#..#....#.#....#....#..............##.....#.........#.....#.......###.................#.....#..#.#.....#.##..#.......#......####.##..#......#...#..#...#....#.#...#...##.#.##...#.#.....#.............#...##........#...#......#.#......##.#...#...##.##..#.#.#.........#..#....##.#.#.......#.......##..#...##..##.#..##....#....##....#......#.........#...............#..#.#..##.#........##.#.........
..#...#.#...........#....#......#...#.#..#.##...#..##...#..............#...##....#..#..#...#...............#..#...#...##....##.#..##....##..####.#..#....#.#.##........##.....#..#..#........#..#.....#.##.##.......####.......###........####...###...#.#.###........##.#.........#..#...#.......#..#...#.#.###.#..#........#......#..#.#..........#....##.................##...##........#...###....#....#.#...#..#.#....#...#..##.....#.#...#...#......#........#...#.....#.....#....###.........#.###..#..##.....#.#.#.........#...#.##.....#.#..##.#.#...#.#.#...#....#.##.....#.....#.##.....##....#...#.#.##..#..#........##..#...#.....#.#..................#..#.......#..#..#.............#.............#....##....#.....###..##..............######....#........##........#.#.#...###..##........##....#.....#...#................#......#...#..##.......##.#.#...#....#.#...#.#......#..#.##.#.###...#..#....##...##..##....##..........#.#..##...###...##.#...#.....#...##..##...........#.........#........#..#.......##
..#...##.#.#.....#...........#..#.#.#.##.#.#...##..##.#.#.............##.#..###.##.........#......#.#.#....#####..#...#.........#..#.#..#..#..##.#.##....#.###........#.##...#.........#.................#.##........#.........###.........#..#..#.......#.#.#........##.##...#...........#.......#........#........##...#...#......#..#..##..#.....#.....#.....#..#...#.....#..##...#.....#...#..........#......#..#.##...#.....##..##..#.##.###..#....#.##...##..#...#..........##.....#....#..#.####............#.#...#..#...#.....##.##.......#...#...#.....#.#...#...##..#...........#..#......#....#.#...#..#.....#.#...#..###.#...##....#.#.......#.....#.....#.##.........#..#........##.#...............##..................#.####.....##.....#..##....##...#.#..##..#..........#..###.#............#.......#...............##....#...#....#..#....#......#..#.#....#....#......#.#.......#.##.#.....#.#..#..#.##...##.#...#..##...##.#........##...#.#....#.....#.....#..#....##..........#....##....#.........#...........
.#..#............#..#....#...#....#...##.#.#....#..##.###..............#.#..#....#..#..##...###...#.#.#..#.......#...##.....##.##.........#....#...#.....#..##.#......#..#....#..#.....#........#..#..#.#..#........###.........#......#...#.......#..##.#..#.......#..#..#...#.#.##..............#........#.##..........#......#...#.....#.#.#..#..#...#.#......#.....#.........#.........#.......##.#...#..#.#.#....#....#......##.##..#.#..#.#..........#..#...#..........#....#........#.....#....#.#..#..##.#.#...#........#..#..##.##.....#.#..##.#.#...#.###........#.##.#...#.....#..#.....##....#.....#........#..#......##..#...#.#..#...#.....#....##..#..#............#..##.......#..#.#......#......##....#....#......##...........#.......#..#.#.......#.#..#.......#...#....#.##...#....#....##.......#.........###.........#..........##....#......##.#...#..#.#.....#..........#..#.#...##.#...#.....##.#....###.......##..#..#..##...........#...##.#.#.#..........................#......##...........#.#.....#...
#.#.#.#..#.#........#......#....#...#.##.#..........#..#..............#...#..#............##..#.......#..#.###....#..#.......#.#..#......#....#....#.#...#.#..#........###...##........#.................#..#........###.......###.....#..###....#.#...#............#..#........#.##......##.........#...#....##.....#...#...#..#.....#..###..#..#..#.....##.#..##.....#....#....#....#............#..#...##........#..#.......#..##.##.....#.#.#..#....#..#..#.#.#..........##.........####.#................#..#.##..#.#............##...#......#..##..........##...#...##.#.....##.....#..#...........###.###..........##..#..##..##...#.#..#.#............##....##.##.#.............#....##....#......#...........#...#.#.....#..#...#.......#......#.......#.........#...#...#.#...##...##.#......#....#......#.................##....##..#....#.#...#.#.........#.#...#....#.#...#.#......#....#...###...........#.....#..#...#..##......#........#....#.....##.#.........#....#..#...........##.#..#.##..........##.#.....#.#.
.##....##...........#........#.............#....#...#.###..#...........#.###....#.........###.....#.#....#..####.##...##.....#.....#.#...#.#.###.#.#.#.....###..........#.....#.....#...........#..#....##.#........###........##.........#......#....#....##...#..#..##..#...#.#.#...#..............#.....#..#.....#........#..#...#.#..#..#.#..#..#.....#........#........##..##....#........#......#...#....#..#....#...#...#.###.#.....##......#............#.##...#.....#....#.....##.#.##..#...#.#...#..#..#.#.#.#.......##...#.##..#.....#.....#.......#...#........#.##....##.....#.##....#......#...#...##........#......##.##..........#.#.....#...........#.##............##..........#.#......##...........#..#.......##...#.#.......#.....#.####...#.........##..#...#.#..#.#...##.#.....#....##......#.#.#...#...#.....##....#...........#...##......##...#....###..#..#.#........#....##..##.#...#.....#.#.....#...###...#...##....##.#..##...###......#.........#...#...##..........##.......#.#....#.#..#.........##
.......##........#.........#....#...#.#..#.#...#.......#...#..........##.#....#.#...#..##..###......#.#..#.##....##............##........#..##...#.#.....#.##.##........##...#...#...........#.....#..#....##..........#.......###.....#....##.....#...#.#.##...#.....##......#.#..#..#....#.........#...#....#..#.......#......#...#.#..#.##.#..#........##....#..#...#....##...##..#.....#...#.#.#......##...#..#...##..........##..#....##...##.#.......#....#.##.....................##...#....#..###......#.....#.#....#.......#.##..##....#...............#.#...#...#.....#..#......#.##.....##....#.#.###.##.....#.##..#..###..#........#...............#.......#..#.......#.....#..........#.......#.....##.........#.....#.##.#..#......#.......##.#.............#...........###...#....#.....................#...#...#.....##.....#......#...#...#.......##.#.#...##.#...#.#...#.........#.#...#......#..#..##.....###.#.#...##....#.......#..##.....#....#...#.#..........#...#...........#....#.##.#....#...##.......#..#
..#.#...#.............................#........##...#.#...............#..####...##.#...#..#####...#...#....#.....##..##.........#.......###.##.#.........#..##.#.............#......#..#.....#..#..#....#.#..........###.......###..........#....###..##.#..##..#...#.##..#.......#.......#.......#..........###.#..#....#...#......#....###.....#........#..#...#.#........##...##..##....#....##.........#......#............#.###.##..#.##.#.#.......#.....#........#.....#...........###.##.....###.......##....#..............##.....#.....#.#...#.......#.#.....#.......#....#......#.#.....##.........#.#...........#......#..##...#....#...#.....#....#...#.#..........#.....##.#....#.............#.....##.........#......###..##.......#.......###.#..#....#.#..##..........#.#...##.....#...#....##...#...#.........#.....##.....#......##.#...#.........#.#.#.#.#.##.##..#...#.#....#..#.##..###....#..#.........#....#....###..##.#..##.........#........#.#..........##....#...........#.#.##..#.#....#....#.#.....#.#.
##..#.#....#........#........#..#.#.#..#...#...##......##......#......#..##..##.#...#......##.........#....#.##..##...#........##..#.......#.##..#.#.#...#.####.........##.......#.....#.....#..#.........#.........#.##........##.....#..#..##..........#..##........#...#...#.#.#.......#.......#......##...##.#...#.......#..#......#..#......#.......#...#..#..#...#.....#...##..#.....#....#..#..#....#.#.#.##.#.............#..##.......##...##....#.#...##.#....#......#....#.....#...#...#..#..#...#...#....##.#....#..##...............#....##.#.....#..#........##..#....#........#......#.....##...#..#...#..#..#..#......##..#...............#...........#.........#..#.....#....##....#.......#.....#................#.##..#.#..............#.###............##......#...##...###...#.#........##...#...................#.....#...#...##.#.....#.......#.#.#...####..#....#.#.#.......#....#.#.#...#.....#.#.....##...##..##...#..#...#...........#....#.#..............#..##..........#....#.....#....#.#..............
.##...##............#....#........#...##...##...#..#..###..#..............#...#.##..#...#..##.#.....#.........##..#..#.......#....##.#...#.#.#.#.#.###.....##.##......##.....##.....#.................#...#.................................#.....#...#.........#..#..#..#....#.#.##......#.......#..........#...#...#.......#...........##...#....##...#....#...#...........#....#........#...#.#....#...##.....#.....#...#......#......#.#...##..##....###...#..#...........#..................#.....##........#..#..#.......##.....##..##....#...............#.....#.#.#...#.#..##.....#.#.....#........#.#.#.##..#....#...#...#.........#..#.#.......#....#.....#.............#...#.#....##............#......#....#..#.#.....####.#................#....#..#....#.#...#..........#.....#....#..#.......##...#...#.....#....#.....#....#...#...#..##...#........#.....#.##...##..#.#...#.........#..#..##..........#.....##.....#..###.....#...#....#....##.........#..........###...#...........#.#.#..........#......#.......#.
#...#.##...#.....#..#....#...#....#.#.##.#.#...##...#.#.#.............#....##.#.##..#.....##..#..........#.....#.......#....#.....#.....##..####.#.#........##.........#......#..#..........................#.........##........##........#.#.#...##..#......#..#...#.#...#.......##..#...##.............#.#.#.#....#........#......####...##....#.#....##......#......#........##....#....#....##..#.#....#..........#....#...#.#.#.....#.#....##......#..#..##..##...............#..........#..#....#.......#..#...#......#...#..##....##.....#.#..##.#.......###...#...##.......#......#.##......#....##..#.#.#......#.#...#..##..#...#...............#.............#.......#..#..#...........#.#......##......#...#...#.#.....#....####.....##.....##....#..##.....#..........#....##...###.##.##......###.......#...........#...##........#...#..#....#.......#....#....#....#..#...#.#....#..#....#####.#.#.....#..#...##..#.......#...#.#..#..#..#....#......#...#.#........#....#................#..#..#....#....#.#.........
#.#...#..#.......#...........#..#.#.#.##...#...##..#...#...#...........#....#.#.##.#....#.#####.......#..#.#...#.#...#.#....##.#..#..#...#.#...#.#.###...#.#.###.......##....#...#..#...........#..#....#####.......##.#.........#.....#....###..#....#..#............#..#......#.#...#...##.........................#...#...#..#....###......#..#.#.....#...#..##.#.........#..##....#....#....##.#..#....#...#..#...##...#.........#...#.#...#.#.#....##....##..#....#..........##.....###.........#.##..#..##.....#..............#.#..#...........##...#...#.##....#......#..#...........##....#......#...##..#......#........#.#.#....#....#...#.....#.....#...............#..#..#........##...#.......#.....##....#..#.#.....#.#..##.#.............#.##....##...#.....#..#...#.#.###...###.##.....#...#.#.....#.......#.....#...##....#.......#...#...........#........#.##.###...............#.##.#####.#.#..#...##....#.##.#.#...#...#........#..##....##......#.#.......#..###..............##....#.............#........#.##
##....#..#.......#................#...##....#..#...##.#.#......#............#.#.#.......#.#...#.....#.#.....#.##.......#....#...#.##.....##.#..#.#...#.....##.##......#.##.............#.................##.#.......####.......###.....#.........###...#.#..#.......#.#...#...#...#...#...........#..#...##...##.#...#..............##......#....#..#...#.......#......#........###..#.....#.....#.##.#......#.#.#....#..........#.........#..##....#...###...##..#....#.....##.........#..#.##..#..#.###..#...#.......#.#..#...#...#.................#.#.......##............#.....#........#.....##........#..........#........###.#....#......#.#.................#..#......#..#.....#.....#..#.#......##.....#....#............###.#.#......##.....#.#..#.....................#.........#...####...#...###...#...#.#...#...#.#...##........#...#..##...#.......##.....#.##.#.#.#.#...#.........#..#..####.#....#..#..#...###...#...............#.#...#...#..........#...........##...............#....#.##.#........#........#.##
#.....#.#................#.#......#......#..........#.#.#..#...#......#..#####...#.##..##.#..#....#.#....#..#....##..#.......#.#...#.#..#....###.....#......##.........#.#...##..#..#..#..............#..##..........#.#.......###..........##.............##...#.........#.....#..#.......#.........#...##...##....#....#......#...####......#.....#......#.#...#..........##........#....#...#...#..#...##...#..................##.##....#...#...##.....#....##..#...#..........##.....###..#..#.#..###..........#.#......#..##..#......#.......#..##.......#.##....#.#..#....#..##.....#........##....###...#..#..#........#....#.....##.#.....................#............#..#..##......###.#.#.............##...#.....#......##...#.#......#.....##..###.......#.#......#.....#.##...####...##...#.........#.#...#...#.....#....#....#..........##...........##.#.#.#..##..##......#......#..#.#..#..#....#..#..#......#..#...#....#...#....##....##.....#....#...#...............#...........#.....#.##.#....#...#........#..#
##..#.#..........#..#........#..#.....##...#....#..##...#..#...#......#..#.#.##.#...#...#.#..#....#........#................#..##....#....####.#.#.##......#...#.........#...##..#.....#........#..#......#...........#........###................##..#.....##.....#..#..#........##......#..........#..............#....#......#.....#...###.......#....#...#..##.#........#....#...#.....#...#.#.#..#........#..#.#......#......#.........#.###...#...#.##..###.#..........##...#.....#........#.#..###..#..#..#.###...#..#...#..##....###....#.......#.#.....#.#...#...#...#.............#......#......##...#..............#...#......##........#..............#....##...............#....##....#.......#..........##..........####.##.#.....##........#.#...#....#.#..##..#............##.#.#.#.#.#....#.......#.......#.....#..........#..#....#..#....#.........#...#.##.#.#.....#.#.#.........#..####..#.#..#.....#....###.###..#.#...#.#..#......#..........#.#.#.#........##...##..........##....#.........#....#.#.........
##..#.##...#........................#..#...#....#...#..#.......#......#...#.###.....#.....#..##...#...#....#####.....##........#...#.#...#..###....#.#......###........##.....#.........................#..##.......##.........#.......#..##..#.......#..#............##.#......#.....#....................#.##..........#...#......#.#.....#....#........#......#.#...#.....#...##...#.............#..........#.#..#.##.......#.#.#..#....##..###.#......##..#.#.##...#.....##.........#..#..#..#.#..###..#..##.....#.#.#......#...#.#....#.........#..#.....#.#..................................#.........#....#..#..#..#......##.#....#....#...#.....#.....#....##.##.#....#..#.....#........#................#...............#....##.#.....##.....##.#......#.....#..............###..#.#..###...##.............#.....#...#...........##.........##..##........#.......#....#...#.....#....#.....#..#..#.#.#..#..#......#..##.#.....#..#..#..##....#....###....#.#.........#.......#...................##......#....#.#.........
###.#.##.........#.......#.#....#.#.#..#.#......#.....##.................#.###..#..##......####...#.#.#....#####.#...#.......#.....#.#..##.#.##..#.###...#...#.#.........#...##.................#..#..#.##...........#.#........#.........#.###...#...##.#.##...#..##..#......#.#.........#.......#..#...#.#.###................#....#.#....#.#..#.##...#.#..................#.......#.....#...#....#.#........#.##.#.#........#.#.#..#....##...#...#...........#.#..........##....#....###..#.....######..#.......#.....#......#........###....#.#..#..#.....#.#.#...#.#.##..#.#.........#.##.....##......#..#......#..#..#..#..#....#.....#............#....#...#..#.#..#...........#......#.#...#......#......#.....#....#......##..#.##.............#.#.#..........#..##..#.....#.#.....#...#.#...##.............#...........#.........#...#...#..##..#.#......##.#.......#..###.#.....#....#....##.##.#...........#...........#...#.#..#..#..##.#.............##.#.#.#.....#...##..##.............#.#...#.#........#..#.....#.##
##....##.#...................#....#.#.#....##.........#.#..#..........#....#.#...#.#......##.##.....#.#..#..##...#................##.#...#.###...#.##....#.#.###.......#.#...##..#..#..#.....#.....#....#.#.........###........#.#.....#..####...##....#.#..##..#.........#...#...##..#......................##..#..#........#..#......#.#..#......##....###.#...#...........#..##...#.........#..........##.....##.#.#..........#.......#.##......#....#.....##..............#...#.......##..#..#..#.##...#..##...##..#....#...#...#.#..#.#.........#........#.#.#.....#..#....#..##.......##.....##....#...#.#.##..#..#.............#..##........#..........##..#..#..#.#....#..#..##.#....#.....#......##......#.......#.......####..#...............###.#....#.........#..#...#.#..##..........##.#....#.....#.....#.......##....##.....#.......#.##..#.#...............##.#..##.......#....#..#.##.##.#..#.#.....#.##...#####.##...#......#..#..#..##....#.....#.#...#.........#....#..........##...#...#.#....#..............##
..#.....##.#.....#..#......#....#...#..#....#......#..##...#...#..........#.#.#.#..#.......####...#.........#..#.##..##........##....#..#.##..##.#.......#.#..#........##.....#..#..#..#........#..#......#.#.........##.......##.........##..#..#.#.....#.##...#..#..##.##...#.#..#..#...##......#..#...#...##......#...#...#......#..#.#.#.....#.##....###.#..#...........##..##...##....#...##..##.....#....#..#........#...#.#...#...#..#.#................#...#..........#.........##.#.....#..##........#..#.#.#.#.#.........##....#............#...#......##.......#..#......#........#.....#......##.#.#........#.##..#..##..#......#.................#.....#..##.#....#.............##....#......##......#...##..#.#.......##..#.#.....#........#................##..#.....#..##.......#...#..#...###.....#.#.#.......#.....#.....##......#...#..##........#.#.#.#....#.......#...#....#..#.##.#..#....#..#..#..#...#.#####...#...........#.#..#....###........#..........#.#..#...........#..#.##.........#.#.##.#.....#..#
##......#........#.......#...#........#..#.....##..##..##..#...#..........#.###.##..#......####...#.#.#.....#.##.....#.#....#..##.#.....####.##..#.#.#...#.##.##.......#............#..#................####..........#........###.........#.##..###.........#..#...#..#..............#...#.......#......##..###.............#......##.#.#.........#......#........#...#....##..#.#...#.........#..##.#...#......##...##...#...#..#..#.........#.#..#...#..#...#...................#.......#.##..#......#.....#..#..##...#......#..##.....##....#.....#.......#..#....#....#.......#........#.....###.....##..#...#..#..#..#..#..#.#.##........#...............#..#.#..##.#....#..#..##.#....##..#................#...##..#.#.......##.###......##.....#...##...##........##..#...#.#.#.##......#.###.##...#.#.....#.#.#.......###.............#...#..#....##.......#.#...#.#.#...##.#.#.#.#.......#.##....#....#......###.......####...##..#.....#..#..#....#.....#..#.#.#.........##..#....................#..........#..#.......#.
....#............#.......#.#.#....#...##.#......#......#...#...#......##.##...#....##..##.#.###...#.#.#......#.#.##..##.........#..#....#####..#.#.#.#.....#..#.......##.....#.........#...........#........#.......#...........##.....#..##.#....#...#.....##..#..##..#..#...#.#.#...............#......##...##....##...#..........#....##.#.#..#.##......#....##.#...#........###..##.........##.##.#........#..#...##.......#..#...#..#....##..............##..##...#..........##.....#....#....#.##....#.....#.#...#.#..#..##.....#....#............#.............#.#..#........#.....#.......#.#....#...#.#..#.....#.#...#...##..#.....#....#.#.....#.....#..#..#.#..........#..#..#....#.....#......#.......#...#...#.#.....##.#.#........#..........###.......#....##..#...#.#.##...#.#..###.#.#......#...#.#.#.....#...#.#...#.....#...#....#.......#.............#..#.....#.#.....#....#.......#..##...#......#.....###.#.#...#.#..##...............###....#...#..........###..............##.#.##..#......#.#..........#.#.
#...#....#..........#.............#.#....#......#...#.#....#..........##..##.##.#..##...#.###.#...#.#.#......##..##..##.....#..##.#..#.......##............#.##........##....##..........................##.#........##........#.#.....#...#.#........##...#....#..#.....##.......#...#...##......#..#....##........##...#......#....###..##.....#..#...####....#..#...#.............##.........#...#.#...#..#....#...##...#...#...#..#..#......#........##.......##...#.....##...##.......#..#..#.######..............#...........#..##.###..........#.......#.##....#...##..#.#.........#.##....###.....#..##..##................#.#...##.#..#..................#..#............#............#.................#........#..........#..#...............##...#..#....#.#...#..........##.#.......###.............#.........#...#.#...##........#...........#.......##.....#.##.#.#...#...#......#..#....###........#..###.....#..##.#..#.....#.#..##.....#....##...#....#.#.............##...............##.........#....#.#........#
##..#..##..#...............#..........#..#.##..#........#..#...#.......#.#####...#.#....#.#.#.#...#...#..#...#...##..........#....##.#..#.#.#..#...#.......##..#.........#...##..#.....#........#..#..#.###.........#.##.......##.........#.#.#....#..#.....##..#...#..#.##...#............#.........#...##...##.....#.......#...........###.....#.#....###..#...#..........#...###..##....#....##........##...#..#...#....#.........#...#......#..#....###...#....#...#.....#....#.....####.....#..##.#.........#.#.#......#..#...#...#.#.#......#..##.#.......#.#...........#.#..#..............#......##..#.#.#......#.....#..#.#.....#.......#.............#.....#..#.#....#..#...........##..........#......#........#.........##..##......#.......##.#.#...#.....#..#...#.....#.###...###....#...#.....#...#...#.#.......###...##.....#..#...##.#....##......#....#.....##..##.#...#.#....#.....#..####.#........#.....##.#..#.....#..##....#..#........#....#......#.....#..#....#............#...##.##........#.##.........##
....#..###.......#..............#......#.#.##..#...#..#....#...........#.#..#....#.#...##.#.##....#........#####..#..###.....#.#..##....#.....#..#.###.....##..#......####...##..#..#..#...........#....#.#............#.......###.....#...##.#........#.#.##...#...#..#.##.....#.#...#....#.........#.....#..#.....#........#......#..#.#.##.#..#..#...#.#.....#.................#........#.....#.##.....#..#.#....#.##...#...#.#.#.#......#..###.##...##.#..#...##...#......#..........#.#.#......#####..#.....#..#..#.#......#...#.#..##.....#....##.#.#...#..##...#.#.#..#......#.....#..#.....##......#..#...#..#....#......#.#.##...#.#....#.......#........#.#..##.#.......#............#..........#......#.....#..#.............###.....#......#.#####.........#..##........#.##.#..###..............#...#...#.#.......###....#....##..#...#..#...#.#......##........###..##.#.#.#...........##.#..#....#.....####...##...##....##...#.#...#....##....#....#....#.#........#.#..............##...#..............##.#........#
###......#.#.....#..#....#.#....#...#.#..#.....#...##.#.#......#.......#..###.#.##..........#.....#......#.###.#.....##........##..#.#...###.##..........#.##.#.........#....##..............#..#..#....#..#.........###.......#..........#..##..#.......#.###..#......#.#....#....#...........................#.#.......#...#..#...####..#...#..#..#...##...#..##.....#.....#...#...##....#...###..#..........#..#...............##.....#.#.......#....###..................#....#..........##....###..#.....#..#.#.#.#........#.........##....#.#.............##......#..........##..............#.....#.#.#.#.#......#.##..#..#...##..##.#....#.#................#...#.#...........#......#...#........##.....#....#...#.#.....#......##.....#........####...#....#.#......#.....#.#.##...##.....#..#....#......#...#.............##....#...#....#..#..#.#......#....#...##....##...#.#.#....#....##.##......#..#....##......###......#..#..#.....#...#....#.......#.........#..#.#..............##....#.##.#....#.#..#...........
##..#............#...........#........#....##..#...##.##.................#..#...##.#........###...#.#....#.#...#.##..###...........#.#....#..###.#...#.....##..#......#.#....#......#..#.....#.....#.....#.##.......#..#........#......#...#.##..#.#...#........#.....#..##.......##..#....#.............##...##.#...#.......#......##...#..#....#........##.#.....#...#.........#...##....#...###..#.#....#........#..#..........#...#.....#.#..#.#.....#.#..##..##...............#....##.#..#..#.##.#.......##.#.##.......#..#.......#.#.#..........#...#...#..#......#.##..#.#..##.......#.....#.......##..##.#.........#..#..#....#..#.....#.#.......#........#.##.........#.....##.#....#...#.#......#......##...#...........#.#..#.##.............#.#.##..#..........#..#........#........###...##....##...#.#............#....##....#..............##.......#........##.#..#..#.#.#.#....#.......##..#.#....#...#.....#.###.#...#.#.........#.#........#....##.#.........#...#...##..................##.#.........#.......#...
##....#.##.#...............#....#.#...#..#..#...#......#...#...#......##....#.#..#.#...##.....#.......#..#.#.###.#...##.....#..##..#.#.....#.#.#...#.........#........#.#....#......#..#........#..#......#.#.........##.......##..........##.#..##......#.###..#......#........#.##.......#......#........#.###....#....#......#......#..##..#....#...............#...#........#....##....#....##........#..#.#.......#.......#.#...##....#...##..#....###....#.......#......#...#......#.#..#..#..#..#...#..##.#.#.#.#...........#......................#...#.##....#.#....#..#..#........##............##.###..#..#..#.##..#..#.#.#......#....#.............#..#.#..........#..#...#.#....##..#.#......#......#........#.#.....##...#..................##.#................#.....#..##..#.#...#.#.......#.#...#.#.#.#.......##....#.....#...#...##.##..#.#.......#...#.#.#.#..###.....#.#....#....##....##.#.#.....##........###.#..........#..............#.........#.......#..#.#...................#..#...........##.......#..#
#...#..#.#.#...............#................#...#..##......#..........#...#..#...#.#......##..#..........#.##..#.....##...........#..#..###.##.....##......##.##.............#.........#.....#..#..#..#.#..##.........##........#......#..##.......#..#..#.#.#.....#..#..#....#.#..#......#.......#......#.#.###.#..#...........#.....##...#..#....##...#.##...........#.....#..#.....#.........#..#..#....#.#...##.#......#.....#.#........#.......#...#.##..##.............#....##.........#........#....#..##....##.#....#...#......#.#.#..........#...#.....###.....#.##.#..#..#.........#.....##....###.##............#..#...#..#....#.#..#.#.#...........#..#..#.##.........#..#.......###...#......##..........#..............#..###............##..#.#.......#.#..#...#.....#.####..#.#.##..#..#...##..............#...##.....#...................#.#.......#.#...#.###......#.#...#....#..#.##.#.###.#.#..#..####...#####.....#.#..#............#...#.....##.#.........#.......#............#...#..##........#.#........#.##
.##.#.##.#.#........#...........#...#.##.#..#...#..#...##..#..........##...##...##.#...#...#.#......#.#..#..#.#..#....#......#..#.##.....##.#..#.#..........#..#.......##.....#.....#........#.....#....#####........#.................#..#..#...###..#..#......#..##....#......#.....#....#......#..#...#....#..#..##...#..........#....##.#.#.........###.....#......#....##..#.#..#.........###..#.....##...#.#.....#...#.....#.......#....#....#....#..#......##.........##.........#.##.##..#....##...#..#..#.###...#.............#.###.........#........#.#.......#....#..#...#.......##......#.....##..#............#.....##......#.........#.....#....#.....#..##......#.....##......#.#.#........#......#................#.#..###......##.....#..#..#...#.....#......#.....#.#..#...##...##...#...#.....#.#.#.#...#................#.......#..#...........##...#...#.#......#...............#....#...#.#......##.....##..###...#...#...........##...##....##.#.#.#........##................#....#.##...........#.#........#
.#..#.#..#.......#.......#......#.....#........#....#.###......#......#....#.##.##......#....##.......#.....###...#..#.......#.##.#.......#.##.....#........#..#.......#.........#..#..#................#.#.#..........#...............#..##...........#....##..#......#.##...#....#..#...#.......#..#...##...#..#...#.......#......##....#...#..#........#..#...#.#...#.....#....#........#...#.#...............#..#......#.....###.....#..#..##...#......#...#..#....#.....##...##.....#.#.##..#..##.#.......#.#..##.#....#......##.#..###......#.....#.#.......#...#.#....##....#........#.....#......###.#.#.##..#....##..#..........#..#......#..........##....##..#.#....#.....#..#....#.#.#.#......#.......#....#..........##.#....#......#.....###.###..##...#.#..##...........#........#..##.##...#.....#.#...#.......#.#.........#..........##...##.............#..#....#..#.#.#.#....#..#..#.##..#.#.......#..#.....#..##...............#.....#...##.........#.#.....#.......#...........##.#.#..##......#...#..#.......##
.##.....##.#.....#..#....#...#....#....#...##...#...#..#...#...#...........##...##.....##..#.##...#......#...#.#..#..#.........##.##.#..##..#.#..#.#.#.......###......#......##..#..#........#........#..#.##........##.........#......#...#.#.....#..##.#.........##.....#.....#..........#......#..#...#.#..#......#.......#..#...#..#..###.#....#.....##........#...#....#........#.....#...#....#.....#....#.#..#.##.......#..#.....................###........#.........##...#.....##...##....###..#................#..#..............#......#..##...#.....###.....#.......#.........#..#......#........###.##.......##..#..##..##..#.....#...#.....#....##.......#.......#......#......##...........##.....##...##...........###..#...............##...#...#.....#..#...#...#......#.##...#.#....#...#.........#.....#....#....#.....##..#...##.......#......#......#.#.##.#...#.#.............##..####...#.....#.#.....#.##.#.....#..#..#...............#...##.....#.........##..............#..........#....#....#.#........#
###..............#..#......#......#...##.#.#...##...#..##......#...........####..#..#..##.###.......#....#.###.#..#..#.#.......#...#.#..##.#.............#..#..#.......#.....#...#..#.....................##........#............#........###.#..##....#...#....#..##..#..........#...#....#.............#.#.###.........#...........#.....#..#....##...##...#..#......#....##...##..#.....#...##.....#...........#.#............#.#..#..#....#..#..#.........##..#..........##..........##..##..#.#.####.....#..#.###.#.#..#..#...##..#..#.......#..##.#.....#.###.......#.....#..##.....#........#.....###.##...#.....#.....#..###..#...#.#....#.#...........#..#.#..#..#....#..#..........##..#........##.....#................#....##........#.....#.###.#...#...#.#......#.....#..###.#....##.#.......#.#...#.........#....##.........##......##.....#.#.........#.#...#....##........#..........#.#...#.#.#..#..##.#...#.###.##..###..##.....#..........##....#...........#..#.....#..........#....#.....#......#.##.........#.
#.#...####.#.....#..................#.##.#.#....#...#.###..#...#.......#.#......##.#...##..###......#....#..#.##..#..#......##.#..........##...#.....#...#.#.##.......###....#.....................#.....#..#........##........##......#...#.##...##.......#.#.....##.#..##...#....#..#...##.........#...###..##.#..#....#..........#..#....#....#.......#.#.#...#..........##....#...#....#.....#..#......#.....##....#.........###.....#..#..#.#..#...#..#....#.#....#......#...#.....#.##.....#.#..........#..#..#.......#..##..##...........#.#...#...#.....##......#.#..##.#..##.....#.........#......#.##...#.......##.............##.#....#............##....#...#.........#..##.#.....##..................#.......#.#.....###..##.......#......#.###.....#.........#......#...###...#.#.####..#....#.....#.....#...#....#....##....#...#....#..#..#...............#...##.#.#.....#......#..#..#.##....#....#...#.#...##.#####..#.#...#.......#........#.....#.#.#.#........#.#..#............#...##.........#.#.#...........#
#.#.#.##...#.....#..#....#.............#....#...#..##..##......#..........##..#..#.##..##..#......#...#..#...........#......#..#........###..#.#...##......####........#.#.............#........#.........##........####.......#..........#.###..##...##.#.#.#.....##....##........#.......#...............#..#..#.......#......#.....##..#.#.#....#.....#.#....##.#............#..........#...##...#.#...##.#...#....##...#...#..##..#.....#.#..#......#.##....#.##...#.....##...##....#..#..#..#..##..#..#.....#...#.#.#.....##..#...#.#......#.#...#.........###...#...##.#..#..##.....#........##....#....##..#.....#..#.....##..#...##.#..#.#.......#.....#..#....#................#....#.#.#.#......##.....##....#..#.#.....###...##.......#......#.#.##..##.....#...#...........#.#.#.##.###...##...#.#.....#...#...#...###....#....#...#.......#....#.......#.........##..#..#...#.#.........#..###.#...#..#..####...####.###.......#.....##.....#...#.#........#.......#....#...............#.#..#.#..#.........#.#.........
......#.#..................#......#........#.......#....#..#..........#..#...#...#.##...#....#....#.#.#..#.#.....##..##.....##.##..#.....#.#.....#..##...#..#..#.......##........#..............#.....#...###....................#.....#..###.#..###..##.#.#.#........#..##.....#.##..#...##......#......###.#.#.....#.......#.........#.#....#..............#..#..#............##...#.........###....#...##.#.#..#...#...........##.#...#..#.####.##...#.##...##......#..........##.......#.#...#..###.............#....#..#..#......#..#.#.........#..#.....#.###.......##..#....#......#.......#.#........##......#..#..#......##.#...#.......#.......#........#..#..#......#.....#.......##..#.#......##.....##...##....#.....#.##.##.......#.......##.#.....#...#.....#..#........#.#.###...##.#......#.....#...#.#........#..........#...#...##..#...#.......##.......####.....#.#.#.#.......#....#.##..#.#.......##...##.###......#..#..#..#..#..#....#.#...#....................##..........##....#..#...........#.......#...
.#..#.##...#.............#.#.#....#........##..#...#..#....#..........##..#..#.....##..##.#...#...#...#......#...##..#.#...........#.....#.###...#.#.#.....#.###..............#..#.................#....####.........#..........#......#..##..#..###..##...#.#..#..#..##.#....#.#.........##...............#..#..#..##.......#.........#...#.....#.##....##..#...#.#........##..##.............#...#..#...#..#...##...##.......#.#.#.##..#.#...#........#.#............#..........##....#.##.....#.#..##......#..#.###.#.#..#...#......#.#.#....#.#...#...#...#.#.....#...#..#......#.....#.#.....#.#............##..#..#..#.....##...#.....#..#...#...........#..#.##.#..#....#..#...#.......#..#.#.......#......#....#..#.........#..####.....#.......#...#....#............#...#....#...#.#..#.#...#....###.....#............##....#........#....#..#...##......##.#...........##.#.#.............##..#..#..........###...#.###..#..#.#...#.....#...............#......#.....#..##...#...........#....##.#.......#....#.#.........
......##.#...............#...#..#.#.#....#.##..##..##.#.#......#.......#.#.#..#.##..#.....###.#...#...#......###.#....##....##..#..#.#...###...#...#.#.....##.........#.......#..#.....#........#.......#.###.......####.........#...........##...##..##...#.#......#..#.##...#....#.................#...........#.......#......#...####.#.#.....#.##.....#.....##.....#.........##..##.........##.##.#....#...#..#....#..........##.#...#.#..##.#..#...####..##...#...#..........#......#.#.##....##...#......#...###...#...............#.#..........#..........#........#........#........#.....#......#.#.#.#.##..#....#...#...##.##..#.......#.............#..#.#..##.........#..........###...........#.....##...##..#.#.....####..###............###..#........#....#.......#.#.###..#.##...#.#..#...###...#.#.#...............##....##..#...##.##..###......##.#...#.###........#.#.#.......#..#.##.#..#.......###.....###.#....#.#.....#..##.#..#....#........#............#.....#.............#..#.........#.#............#.
#.#....#.#.#........#......#....#.#.#.##...##..##..#.......#...#.......#.#.##...#..##.....#####.....#.#..#.###.#.##..###....#..#...#.....#.#..#..#..##.......#...................#..#........#..#..#.....#.##..........#........##.........#..#..##...#.....##..#.....##......#...##..#...##..............#..###....##..............###..#..#...........###.....#......#....##..##...#.....#...###.##.#....#...#....#.##...#.......#.#.....##.#.##......###....#.......#......#............#.#...#.####.#..#...#...###......#..#....#.##........#....#........#...........##........#.....#.##...........#.......##..#.............#.##.....#..#.#.#.....#.....#..#....##......#........#........#.#......#......#........#.#.....#..#.##..............###...#..##...#.#......#...#....#.#..#.#..####..#...#.#...#.#...#.......##...........#..#....#.#.....#.......#.....#.#....#...#.............#.#...#....#....#..#..#.....#.#..#....#..#.....##.........#.#...#..#.#.#.....#.......#.................#.##........#..#.......#..#
##....##.#..........#....#.#.#..#...#......#...........##..#.............#.#.....#.#......####....#...#....#...........#....#...#.##.....####....#.#.......#.#.#......#.##....#..#..#...........#..#....#.#.........#.##.......#..........###....###..##.#...#.....#...#.##...#.#.##..#...#..........#.....#.#.#.....................###......#....#.....#...#.....#...#.........##..#.....#....##.#..#...##...............#...#.###.##.....#.###.......##....##...#.........#....#.....#.##.##..#.....#...#........#..#.#......#...#.##..##....#.#..##.#.#...#.###..........#..#..#.........#....#.#........#...##.....#.#...#...#..#...##......#................#.....#......#.....##............#.............#.....#....#......#.#.####......#..........##............#...#.....#.#.##.##.#.....#..#...##......#.......#...###.........#...#....#.#...#........##.....#..#.....#.#...#......#....##.####....#.......##.....##...#..#.#...#....#..#..#......#....#.#.#..........###..............##...##.........#...##.#.......##
..#...#.#...........#....#.#.#..#......#...##...........#..#...#.......#...#....#..#...##....##...#......#.#..#......#.......#....#..#...##.#....#...#...#...###.......#.#......................#..#..#.#.##..........#........#.......#..##.#...##....#.#...#......#......................#......#..#.....#..#.....##...#...#.........#.#.......#.#....#..#....##..........#....#....#.........##..#.#...##.#.#.#..#.#...........##..#..#.#.............##.....#..#..........#...##....###........#.#........#..#...#.........#......#...##....#....#....#.....#.#........#........#.....#..#....#.......##.###.....#..#.#...#..###.##............#...........#..#.....#.........#............#...#......##.....##...#...#..........#.#..#............##............#....#...#...#.#.##...###...###.......#.....#...#.#........##.........#..........#...##..........#.#......#.###.#.....#.......#.##.###...................#######..#.....#....#.....##....#....##.#...#..........#..............#.....#.#..#....#.#..#.......#.#.
.##.....#..#.............#.#......#...#..#.##..#....#.#....#...#.........#.#.......##...#.#.#.#...#......#.##.#..#...#.........##.##.......##.......#....#.#.#.........##....##........#...........#..#..#............##........#..........#..#...##..##.#.##...#...#.#.......#.#.##......#.......#..#.....#.#......#........#..#...#.##.##........#......#............#....#....#...#.........#...##........#....#.#.............#......#.##..#....#....##....##..#...#.....#.....#......##.....#..#..........#.#.###.#....#...#.....##.#........#.....#.......##....#.#..#.#..#...........##....##.....#.#..##.#...#.....#.....#...#......#..#.#.#...........#..#....##............#...........#.#.......#................#.......##....#......#......###..#..##.....#..#.......#...##.#....#.#..##.#....##....#.#...#...#...#......#.....#......#...#..#.#.......#...#.#...#..###...#.#.#....#..#..#..##.....#.....##.#...####...#..#.#...#....##.#.......###....#.....#........###...#..........#.....#.##.#....#...##.......#..#
#.#...#.#..#........#......#.#..#...#.##.#.##..#......#....#..........#..####.#.##.##..#....##...........#...#.#.#.....#.....#.##..#......#..##..#.....................##.....#.................#.......##.##.......###.........#......#...#..#..#.....#...#........#.#.......#.#..#..#....#.............###.###....##...#..........####....#.#....##...##.#.#.....#...#.............#.....#....##........#.........#.#........#..##.....#.....##..#....#.##......#....#...................#.....#.####........#.#.#........#......#..#...##......#..#....#..................##.#.................#......#.#.#.#.....#..#.#......##...#..#.......#.#.....#.....#....##.##.#..................###...#......##.....#.................###...........#......##..#..........#..........#.....##..##...#.##............#.#...........#.#...##.....#.......#.##...##......##.#.#.........#..#.#...#....#..#..#.##....#....#..#.#......#..###.......##.....#...........#...#..#.............##..##...........#.#..#..#.#....#...##.#........#
#.....#.##.#.....#...........#....#...##.#......#..#..#.#......#.......#...#.#...#..#.....##..#...#.#....#.#..#..#.............#..#.....#.#..###.....#......#.##......#......##.....#..#...........#....#...#........#....................##.#.....#..##.#.#.#..#..#...#..#.....#.##.......#.........#...##..###....##...#..........###...#.#.#....##...#.......##.....#.........##...#....#.....#.#..#........#.##.#.#....#...#.#....#.....#......##...####..#....#...#.....##.........#.#..#......##.##........#.....#........#.....#..#......#....#....#...#.###...#....#....#.........#.#.....#..........###.##.....#..#..#...#...#..##.#....#.#..............#.#..#..........#...#.......##..........##.....##.......#..........#.#.##.....#......#.#.......#.....#..#...........##.#..###.##.##..#...#.#.....#...#.............#.............##.##...##...............##.#.........#......#.......####....#..#...#.....#...#.##.......##....#......#...###........#.......#..#....#...........#..#..#.#.......#....#.#.....#..#
.........#..........#......#......#...##....#..##...#...#.............##...#.#.....#...##..##.....#.#....#..#..#.#...##......#.....#.#..#..#..#..#.#.#...#...#.#......#.##.......#.....#.....#..#..#..#..#.##.......###........#...........#.##..##......#..#...#..##....#....#....#..#....#......#..#...##..#...#...#...#..........#..#.###.......#......#.....##.....#....#...#.#...#....#....#...#.#........#.#..#..#.......#.#.#..........####.##......#..#.#.##.........#..........#.##.##........#......#.............#..#...##..#.#.#.........#..#.....#.##......#....#..#..#.....................###.#.#.##.......#...#...#..#...........#.#.....#.....#.......#..#.......#.....#..........#.............#....#...#........##...........##.....#.#.#.....#........#.........#..##..#....#.#.#..#.....#.....#.#.#.............##....##......#.......#.......##.#.#...###......#.#...#.......#.....#.##......#.....#......##.#...##....#....#..#.........#...#..#.........#..###..#...........##...#...#......#.#.##.........#.
##......##.#.....#..#....#.#.#..#......#.#.##...#..#..#.#......#......##..##....#..##..##..#.##..........#.#.##..#....#.....##.....#....##....##.#..#.......####......#.#....#.........#........#................................#.........##.#..#....##.#..#...#..##.##..#.....#.##..#...##.........#....##..#......#...#..........##.#.##.#.#....#.....#.#....##..........##..###...#....#...#.#.##......#...#....#.#....#...#.#.#.##.....#..###.#....####..###......#......#..............#...#.#..###.....#....##....#..#...#.....#..###....#.#...#.#.....#.......#.#.##....#...........#......#...........#.#........##.......#.##.....#..#...............#..#.##.#.......#..#..##.#........#....................#.....#.....##...#........#......#..##.........#.#...#..#.....#.##.#.####.#..##.##...................#...#.#....#........#...##.#...#...........#.#.#..###.#.#.#.#...........#.....#.#..#.........#....#.##.###...##..##.....#.#.......##....#..#.........#..###..##..........##.#.##.#..#....#.#..............
#.#...###..#.....#..#...........#.....##.#..#..##..##.#...............##.##.#.#.##.##..##...#.#.....#....#...#....#...##.......#..#..#..###.##.#.....#...#..####......#.......#........#................###.........#..#........##.........#.#...#.......#.###.....##.##.#....#...#.......##......#......#....##.#..................#..#....#.#..#.#.......#...........#....##...##........#....##.##.#...##.....##.#..#...........#........#.#.#..#....#..#..#...#....#.....##....#....##....#....######.....#..#.#.#.#.#.....##........##.............#.#.....#.#........#.##.#..##.......#.....###.....#..#.#..........##..#..#.#.....##.......................#.##..#.#.......#.....#.................##.....##.........#.....##...#..#.....#........#.#.#..##...#....#.......#.#.#......##.#.#.#.#......#...#.#.#.#...#...##....##........#....#.....###......#..#........#.##..#.#...#....#....#...#.##..........###...##..##......#..##.#..#..#...#...###....#.....#........#.................#......##.#....#.#.##.#.....#.#.
.#..#...#..#.....#..#........#..#.#......#.#..........###......#.......#.#.###..#......#......#...#.#.......####..#...#.....#..#..##.#..##.##......#.....#..............#.....#..#.....#.....#...........#.##.......##.#.......#.#........####...#.#..##.#..##.....#..#...#...#....#.......#..............##.##.....#....#...#..#.....#...#.#....#.##......#.#...#.#...#..........#........#....##.#.......#.#.#.#..#............#.#.#......#..###..#...###....#...#...#.....#....##....####..#..#.##......#..#..#..##.........#...#..##..##....#.#..##...........#.......#..##....#.........#.....#.....##..#.#.....#..#.....#...#..##...#........#.....#....##...............#......#......#.............#..........##....#.....#.....##......##.....##.####...#...#.#...#......#.#.##.#.##.#..#..#.#....#.#...#.#.#.#...#...##..........##......#..##...##......##.#...#........#.#.#.#......#........#.#..........##......##...##..#.#..#......#.#..##.....#...#..#...#........###..............##...#..........#.#..#...........
##.....#.#.#.....#..#....#.#............................#......#......#..#...##.....#........##...............##.#...##.....#..#.........#....##.....#.....#...#......#......#......#..#.....#........#.#..##.......#.#.........##........####...#.#........#...#......#.##...#.#.##..#....#.............###...#....#...............##...#....#..#..#....#.#.#..##.#...#.........##........#...##..##.#......#.#..#.#.##...#...#.###..#..#.#..###..#.....##.....#.##.........##....#....#.##.##....#.......#..#..#..............#...#..#.###......#..#...........#....#.#....#..#.........#..#.............#..##.##..#.....#..#..##..#...##..............#.....#.....#.#..#.......#..#..#....###.#.........#.....##...##..#.......#.#...##.............#.#.#....#....#....##......#...###....#..##..#.#....#.........#.....#...#......#.....#.........##..............#.#...####.....#.#...#.........##..###..#.........#....#..#..#...#.#..#.....#..#..#.....#.........#.......#...#..................#.#..#...........#..........##
...........#.....#..............#.....##.#.#...#....#.###.............##.#####...#.#....#.#..#....#......#.####......#......#..##..#....#.#.##.#.#..##.....#####.........#..........#...........#.......#............#.........###.....#....#....#....#..#.##.................#.#.....#....#......#........#.#...#...#...#...#..#........##.#....#.#.....##............#..............#........#...##.#...#....#.#.........#......#..##..#....#.#.......#.##......#..........#.....#.....#.#.##..#...##....#...#.#.##....#.....#....#.#...........#..##...#......##...#.#.#.....#..#..............#.#.....#...#..##..#............##......#......#............##.......##.#....#.....##......##..#.........#..........#.....#.....##.#.#..#.....#.......##......#....#............#...##.#...##.#.##...#...###.....#.#.....................#...#.......#..#.#......##.#...#.#.##.###.#.#.#.#....#.......#.#.....#......#......######...###..##.#..#......#....#.....#.#.#.#........#....#...........................#....#.......#.##
.#..#...##........................#........##..#...#...#.......#.........#.##...#...#...#..#.##...#........#......#...##....##....#..#....#.#.##.#.##....#.#..##.......#.#..........#..............#....##..#.........#...................#......##...##.#.#.#..#.....##.#......#..#..#...#.......#......###.##.....##.......#......#....####......#....#.#..#..##.#........#...###............#.#.##.....#..#.#..#.#.##...#...#.#.#.##....#..#..#..#.....#...##..##...#......#.........#.##.##..#...##.#..#..#........#....#..##..#..#...##....#.#..##.#.......#.#.....#.#.....#...#.......#......##....#....##.#...#..#.##......#...#........#.#.......#.....#........#.#....#.............##....#......##................#.....#....##.#.....#......#.#.#.#.........#..........#.#....#.#.#..##....##...#.#...#.........#.....#.............#...##..#...#........#.#...#...##...#.#.#.............##...#...........##.#...#.#.#.#....#.........##....##....##....#...#.#........##....#...........#.#.#..#.......#.#.#............
##..#.##.#.................#..........#....#....#..##..##..#.............#..##..#.........##.#....#.#....#.#..#........#.....#.##.##.#..#..##..#.#...#...#.##............#.......#.....#.....#........#...##...................###.....#..##.#...#.#...#...........##.#...#...#.#.#...#...##..............##..##.....#...#...#......#..#..###.#..#......####.....#.#...#....##....#............###.#......##..........#........#..#..#......#.##.#.#.......#..#.#............##....#.....#...#.....#.#.#...........###.#.#......#...#.##..........#..#....#...#.###...#.#.....#.#..##.....#..#......#....###.#....#.......##..#..###......#....#.#.#.....#.....#........#.#....#......#.#....#.....#......##..........##..#.#.....##...#..#.............#.####..#....#.#...#......#...#..#..#...##.##.#.....##.......#.#...#..........#....#........#..#...##.......#.#.#.#.#..#...#.#..........#.......##.##...#.....#.#.....######...#....##.#...#....#.....##....#.....#........#.#..##..........#....##..#..........#..#.....#.#.
###...#....#.....#..#......#........#.#..#.#.......##.#.#................#..##..##..#..#..#.......#.#......##..#..#...##........#.........#.##.....###......##.........##..............#.....#............#.#.........#........#...........#.......#...#.#.##...#..#..#..##...#....#.......#......#...........##....##...#...#......##.....#.......#.......#.#.........#....#.........#....#...###.##.#......#...##....#.......#..##.......#...#....#...#.......#..#...#.....#....#......###.##..#....#....#...........#.#..#...#..##..#.#.#............#.#.....#.#.....#....##.#...#.......#......#......#...............##..#..###.....#.......#.#.....#....##....#..##.........#...#......###..........##......#....#..#.#.....#.##.#..#.....##.......##..#..#..........#..#..........#..##..##..#.#.....#......#.......#...###...##....##.......#......#.......#....#....###..#..#.#.#.#.........##.#####...#..#.........#..##.##..###..##.#..##....##.....#....................##.................#.#..##.#........##.#.....#.#.
#...#....#.#.............#...#......#.##.#..#...#..##...#..#...#......##.##..#...#..#..#..####......#....#....##.##.........#...#.##.#....#...##....#......#...#.............##.....#..#........#..#.......#.........#..........#......#...#.....##....#.#.........##..#..........##.......#......#......#...#.#.#..##...#......#...##.#.###.....#.##.....##.....#.#........#....##..............#.#..#...##.#.#..#.#..#...#.....#...#...#.##.......#......#..##..##...#.....#.....#....##...##.......#.......##.#.#.#.#.#.....##..##..#.#......#.#..#..#.#.......#.....#.#........##.......##....#.#....#.#.#....#..#....##.....#.#.#........................#.....#...#......#........#....##..#.#.............#....#.....#......##...#........#.......#..##...#...#.#..#...#.......#.##.#.#..#...#..#.....#.......#.#........#...........#..#...........##......##.#.....#....#.#.#...#.........#.##.#.###......#...###...####...#..###..##....#............#....#...#.......#..###...............#...#...#.#........#..#.......#.
###....#.#.................#.#....#.#....#.##......##.##...#.............####...#..#....#.#...#...#......#...##..##...##.......#..#..#..####.###...#.#.....#...#.............##..#.....#.....#........#.##.#........#...........#......#......#..#.#...#...##...#..#..##.#....#...##......................#....#.....#...#............#...###....#...........#..#..#...#.....#...##..#.....#....#..............#.##...##...#.....#.........#..#.##..#...####..#.#.#....#.....##....#.....##......#.#.#...............#..........#.....##.##.....#.#..#....#.....###.....#.##.......##.............#......##..#.#.#...#..#.#..........#......#....#............##....##..#.#.......#.....#....#...#.........#.....#........#.#......###.#................#.#.#....#...#....#...#...#....###...##..#....#....#.#..................#..........##......#..#...#...........#...#..#...#.....#.#.........#.##....##.#.#..#...#.....####.#......#........#......#.....#...##.#.#...............#...........#.....#..#.#......#....#.........
.##.#....#...................#....#.#.##.#..#......##.#.#......#......#...#..#.........#...##.....#...#..#.#...#.#.............##.##....##....##.....#...#.#...#......#..#...#...............#..#..#..#.#...........##.#.......#.......#..#.#.#...#....#.....#........##.##.......#...#...##......#......#.#..##....#........#.........#...#.......#....#.#.....#...........#...###...#.........#...#.#...##.....#..#......#...#..#......#..#.#.#........#....#.#.............#....#....##.#.#...#.##...#........#.##..#.#..#..##.....#..###....#....#..#.#.....#.#...#.#.##....#.........#..#....#......#...#.#.#........##.....#....#..##....#.........#.....#..#.....#.#....#..#...#..........#.........#..........#.........................#......####.##...#...#.#......#...#...#.......#....##......#.........#.....#....#....#......#......##.#.....#.........#...#.#.##.#.#...............#..#...#...#.#.......#.......##..........##.#...#.#.........#...##.#............##...............##...#...#.#....#.#..#.#.........
#.#.....#........#..#....#.#........#.##.#.....##...#..##..#...#.......#.##...#.##......#.#.#.....#......#..#.#..##..###....#..#.....#...##..##..#.##......#.##.......#.#...........#........#........#.###.........##...........#.....#...##....#.#..#..#.........##.##.#......#.....#...##......#.......##........##...#............##..##.....#.#....####.....#.....#.........##..##....#...#.#.##.#...##...#.#..#..#...#...#..##..#....#.............#.#...#...#...#......#.........#.#..#.......##....#...#...###......#..##.....#..##.....#.#.....#.........#.......#..#............#.#.....###.....##.##..#......#.....#..#.#..#..#...............#.....#..#............#..#...#......###..........##..........#.....#.....####.##........#.......#.###...#...#.#......#.....#..###..##...#.##.#....#.......#.#.#.......#.#....#........#...##..#..#........#......#..###...#.#.#.#......#.....#...##....#..#..#..#.....#.#.##....#..#......#.....#....##........#..........#.................#...##.##..........##.#.........
#.#...#.##...............#.#....#.#.#.#..#.#....#..##.##.......#......#.....#...#..##.......#.......#.#..#..#.#...#...##....#..#.....#....#..###.#.#.....#.............#.#..........#..#........#........#..........#..........##............##....#..#....##...#..#..#..##...#....#......#.......#..#........##.....#.....................##....#...........#..##.#..................#........###..#.....#..#....#....#...#.....##..##..#.##.##.#......#.##..#.#..#..........#...#.......#.........#...#.....##.#.###...#..#...#..##....#.#....#.....#.#.#.............#..#..#....#........#......##......#..#..#........#........#.....#.......#............##..#..#..#.........#.....#....##............#..........#...#.#..........................#.##.#.............##..#.....#.#.##..###.......#.....##.......#.........##....##........#...#......##.......##.......#.##..#..#.#.#.#....#....##.###...#....#..###........##.#.......##.#...#.....#..........#.#.#..........###.................#.#..#..#........#...........#
###.#.#....#.....#..#....#...#..#...#..#....#......##.###......#......##..###......#...##..#.#......#.#..#.##.##.##....#....##....#..#....###.#..#...#...#.####.......#..#...##..#..#........#..#..#..#.#...#..................##.....................##...#.#......#..............#.......#......#......##...#.................#....###.####.......#...##.#.......#.........#..##.........#.....#..#.#...##.....#..#......#...#..#..##....#..#.#..#.......#...##.#....#.....##............#.......#...##........#.....#.#..#.......#..#.###....#.................#.....#....##....#................#......#.#...#...#....#...#...##..#...#....#...#.....#....#.....#..##.#..........#.......###.#.#......#............#..........#....####......#.......#.#.....#........#...#...#...###..#......###.#....#.......#.#.....#...###.............#......##....#......#..#.#.#..###...#...#.#.#....#..#.#.....##.#....#..#.##....##.#..#..##....#....##.#..##...#......#...#.#........##....#...........#.#..#.##..........#..#.........
.#..#..###.......#..#....#.#....#......#...#.......#..###..#.............######.#..#.......##.......#.#..#...#....................##.#...##.#.##.#...#...#.###.#......##.#.............#........#..#....#.##........##.#...............#..##.....##...#..#.#.#..#......#..#.....#.....#...##.........#....##..#.....##...#...#..#...##.#..##..............##.#..#..#........##..#.....#....#........#.#...##.#.#..#...#....#...#..#......#.#...#........#.##....#..#..............#.......#...#..#.#.#.....#..#..#..##......#.......#.#..#...........##.......#.##...........#.....#........#.....##......##.##...#..#..#.##.....###.#....#....#.#.#...................#.......#......#........#...#..................#...........###..##.......#......#.#.#.....#.........#..#...#.#..#....#.#.#..##......#.....#.#...#.......###..........#.........##..#.........#.........#......#.#...#.......#......#.#.#........###...#..#..##..#.#...#.#..##....#......#...##.#.............#....#...........#.#....##.#........##.#.....#..#
##......##.#........#....#...#..#.#...#....##..#......#.#..............#.###.....#..#......#.#................#..#...###.....#.#.....#...#.#........#....#.#.#...........#.......#.....#.....#..#..#..#.###..........###........#......#..###....#....#....#....#...#.........#...##..#...##.........#...###...#....#....#...#..#...###...#...#..#.#.....##.....#............#...##...#....#...#......#...#..#.#.##...##...#...#.#.#.##..#.#...#...##...#..#..#.#..#...#.....##....#....#.##..#....###..#..#........##...#.....#....#.##..#.....#.......#.#...........#.............#.....#........##......#.###.##..#..#.##..#..##..#...##....................#..#.##.#.......#.....##.......##.#.#......#......#..........#.....##...#.#......#......###.#....##...#....##..........#..#.####...###.#....###...#.#...#...#.....#...##....##......................##........#.#.#.#...#.#...........#...###..#.#.....#.##...###.#.#........#..#...#.....#...#.....##..............#.#..##...........#...##.#..#......#.##.......#..#
#.#.#......#.............#...#..#.#.#.#.....#..#...#....#.............##..#..#..#......#..#.##....#......#..#..#.##..#.#....#..#..#..#..##..####............##.#.......###....#.....#...........#........####.......###...................##.##....#..#..#.#....#..##.#..#......#.##.......#......#..#....##.....#.......#...#..#...#.....##.....#.#.....###....#............#..#....#..........#..##......#.#.#.#....##...#.....#.#.....#.##.#..#.##....#.#..#...#....#..........#.....#..#.#...#.###.#...#.....#.##..#...............#.#.#.........#..#.......#.#.......................#.#......##......#...#.#...#..#..#..#...........#....#.#.#.....#....##....#..#.......#......#.#.....##.#.#......#......##................##..#.##......#......##......##...#.#...#..#.....#.#.##.###..##.....#....##.............#...#.#...##....##..#...##.##..#.#......#....#....###...#.....#.#.......#..#...###.#.#.....#.##...####..##..###..#......#.#.............##.....#.........#...##..........##.#.....#......#.#.##.......#.##
#...#...##.#.....#...........#........#....#...##.....##...#...........#..#.....##.##...#...##......#......###...#...###................#....##..#..#....#...#...............#...#...........#..#..#..#....#.........#..........#.........###....#.#...#...##...#...#.#..#......#.##......#..........#...#.#...#....##.......#..#.....#....#........#...##...#...#.....#..........#..##....#...#.#........#......#....#........#.#.#.....#.##.##...##....###...#...#...#.....#....#.....#.##.##..#..#..##..#...#...#.#.#....#..#...#..##..#.......#..##...#...........#....#.##.#..#........##....#.#......#.#.#.#...#....##..#..#.#.#....#.#..#.#.#.....#.....#..#.....#.........#...........#..#........##......................#.#...##.......#.......##.....##...#.#...#..#...#......#.#..#.#####.......##.....#.#.....#...###....#........#......#....#.......#........####..##...#.#.#.......#.#...#..#...........#....###.###...#.....#....#..#..##....#.........#.#.............#............#...##.##.#....#.#..#.........#.
..#.#..###.#.....#.........#....#...#.#..#.#...#...#..###..#..........##.##...#.#..........#..#.....#................###.....#..#.#.....###.####...#.#......#.#.......#.##.............#.....#..#..#..#...#.#.........##.......###..........#.#...#...##.#.##...#...#..#......#.#..#.................#.....#.#......#....#......#...###...#.#......##....##..#..#..#........##..#....#.....#.....#.##.#......#.#.##.#.#........#.##......#.........#....###...#.#.............#....#....#.##..#....#.......#..#....#.#.........#...#..##..#.......#..#..#.....#.##....#...#.................##.....#..........#..##..#....#......#...##...#.#..#.#.#................#..##............##.#.....#...........##.....#....#............#.#.###.............#######.......#........#...#....##.......#####.##.........#.#.#.........##....#.............#......#.#......##...#.....#..........#..............#.#...#..........#...#####..#..##...#..#...#.........###...#..#.........#..###...#...........#.#..#.##........#.##.#.....#...
###......#.#.....#..#......#.#..#...#.##...#....#..##.#....#...#.........#..#....#.##...#...###.......#..#..##.#..#..#.......#.##.#.......####.#....#......#.###.......##....#......#..#.....#........#.##.##.......#..#.......#.#.........#.....##...##...##...#......#.#........#...#....#......#......#....##.#..##..........#....##.......#....#......#.....#...............###........#....##..#.....##......#....#.......#..#...#..#.....#...##...##.....#...#.........##...#......#....#..#..#.#.......##.#.##..........#....#..#..##....#.#.....#.#...#.###.....#.##.#..#..#......#.#.....#......###.##......#....#...........#..##......#.#.....#...........#.#.............##.#........#.#......##..........#............#...##...............#.#.#...#......#...#......#.#..#.#...#...#.##..#...#.....#.#.#..........#....##....##..#....#..#..###......#..#...#.#.#..#.#...#...#....#..#.##....##.#........#.....#...##.....##..##.#..##....##..........#...#............#..##...............##.........#.#..#.#.........
.##....##..#.................#........##...##..#...#.......#.............#..#...#..##..##...#.....#.#.#..#.#####..#...#.....##..#.##.......##.#..#..##.....###.#......#..#...#.........#........#..#..#.####.........##.........##.....#..####....#....#...##......#..##.##...#......................#...#....#.....##...#...#..#....#.#..###....#.#.....#.#...........#....#...#....##.........##..#.....##......#.#.#....#...#..............#.##.......#....##...#...#.....##.........#....##..#.###.#...#.....#.##..#.#..#..#...##..#........#.#.....#.#...#..##...#...##........#.....#.##......#....#.....#..#.....#..#..#..##..##........#...#.....#....#...#..#..#............##.......##..................#.......#..........#.####.....#.......#....#.........#..##......#...##...##...##....#....................#...###..........#..#...#..##....#...............##.#.#.#...#.#......#.....#..####.#.#..#..#.#....####..#.........#....##.....#....#.....#.#.#..........##...............##...#...#.#...........#.........
..#...#....#.....#.........#.#..#.#.#.##.#............#.#..#...#......##.#......#...#...#...##......#.#..#.##..#......#........##..#.#....#...##...##....#.#...#.......###....#....................#..#.###.#.......#...........#............#........##...#........#..#.#........##.......#.........#...#...#.#.#...........#..#...##.#..###.#.....#....##.....##.#.........#....#..##.........##........#....#..#...#............#..#.....#.##....#....##....##..#..............#.....#....##....#.####..........#...#.#..#.......#....#.#......#..#..#.....#..##.....#..#....#...#.....#..#....###....#...##..##..#..#.#...#....#.....##........#.....#....##....##.##......#........#......#.#........#......##.......#........###...##............#.#...#..##...#.#...#..#...#....###.####....#...#...#.......#.#.#...#...##....##....##..#....#.##....#......##.#.....#.#..##..#...#.#....#..#....###............#.#...#..#####...##...#.#........#....##....#.................#.................#.#.....#....#...#........#...
.#..#..###.......#..................#.##.......#....#.................##...####.#..#....#..###....#.#....#..###..#...###....##.##.#.....##....##.#.##....#.###........###....##..#..............#.......##...........#.#.........#.....#...##.#..#....#..#.###..#......#.#......#.##......##.................##..#...#.......#.......#...................###....#......#....##..###...#....#...#.#..#.#...##...#..#...#........#.#.#.##..#.#..#....#......#...###.##..........#...##......#..#..........#........#...#.#.#..#..#...#..#.........#.#...#.......#.##....#....#....#...#........#......#.....##.#.#.##..#....##.....#.#.##..#.....#.#.......#....#...#....#..#....#..#...#.#....#.#.#.........#.....#....##..#.......####.###......##.....#..####..#....#.....#..#........###......##..#..#...##....#.#.#.....#....##...##....##..#...#..#...##.......##...#......#..#..#.#...........#....####..........#.......#....##.......##.......#..##....#....#....#.#.....#...#...#............#...##..#.#........#..#.......#.
....#..##..................#....#.#...##.#.##...#..##..#..............#..#.##.#.#..#......#.###.....#......###.#.....##.....##..........##.....#.#.......#..###.........##......................#..#..#.#..##.......#...........##..........#.#..##.........##..#...#..#......#.#..#..#...#..........#....##.##......#...#...#........#..##.#.......#...##.#....#............#..#.....#....#....##....#...#................#.....#.#.##..#..#..##..#.....#....#...#....#.....#....#.......##.#......##.##........#.#...#.......#...##.##.#.#....#.#..##.......#..#...........##....#........#.......#....#..............#.........##..#...#....#.#.............#..#..#.##.............#......##..................##...#.....#.....#....#.##.....##......#...##..##...#.#..##......#.#........##.#.##..##...#.....#.#.#.#...#.........##....##..#...##.#...###......#......#.###....#.#...#......#.....#...#...#.#..#..#..#....#.##.#........#.....#..........###...##...........#...#...##...............#..#...........##.......#..#
#...#..##..#........................#....#.#...#....#...#.............#.....###.....#..#..###.......#....#.####......#.#...........#.#..##.##..#.#.###...#.##.........#.#....#...#.....#........#..#....###.#........##........##......#..#..#....#....#.#.##...#.....#..##.....#.##.......#......#..........##..#...........#.......#...#.#..#.....#...#..#....#..#........#...#.#...#........##...#..........#......##...#.......#..#..#..#.......#....#.#...#..#....#.....##.........#....#.....####.......##.#.##....#..#..#...##..#..#.......#...#.#.#...#.......#....#.##.....#.....#.#.....##.....##..###..#.....#..#...................#..............#......#.#..#...........#.......#..#........##......#.......#.#......###.####.....##......#....#...#...#.#..............#.##.#.##.#.#...#..........#...#.....................##..#....#.##....#......#....#...###..#.#.#.#.#.#....#....##.##..#...........#.....#...##........##....##.#..##...###...#..#...#..........#...............#.#.#..#..#......#....#.......##
#......#...#.....#.......#...#..#.#...##....#..#....#...#..............#....#.#....##...#.#.#.......#.#..#..#..#..#..###.....#.##.........##..##...............#........##....#.................#..#....##.##...................#......#..###.#....#..##....##......#.##.#....#...##..#...#..........#.....#.....#...#.......#..#...##....#.#.#...........#..#...#.#...#....#...#....##........#...#..#...#.........#......#...#.###.##.....#.####.##...##.#......#...............##.....#.#........#...#.....##.#.###...#..#...#........#......#.#..#..................#.##..#.#..#........##....#........#..##..#..#....#...#..##..#...#..#......#.....#....#.....##....#....#.............#...#.#......#.......#.......#.......##.#..###...............#..#..#..........#......#.#....#.####.#..#.......###...#.............##....#......#..#...##.....#...........#.......#..###.#...#.#.........##..#....#....#.........#.####....###..#......#....##...#........#............#.#...#..........#..#.#.....#....#.#..#..........#
###.#.#.##..........#....#.#....#......#.#.##...#..#...##..#...#...........###..##.##.....#####...#.#.......##.#.##....#....#..##.#..#......####....##...#.....#......##...............#.....#.....#..#....#...................##.........#......##...#..#.###.....##.##.##.....#.##..#...##..............#..#.#.............#..#.....##.##......#......#.#..#...#..........##...##...#........###.##.#...##.#...##.#.............##........#...#........###...##.##..........#....#.......#.......#.......#..##.....#.#.#..#......##.#..#........#.....#.....#.........#.##....#...#.....#.#..............#..#...#..#.....#.......#.#.........#.#.#...........#....#..#.............#.......#.#.#.........#.....##...##....#...........#........#.......#####..#.........##..#...#...##.#.......#.##........#...#.#...........##.....#...................###.............#.#..#.#.#.#.#.#.#....#..#..#...##....#.....####......##.##........#.......#........#....#..#.#.#.....#..#....#..............#....##.#.....................
..#...#.#........#.......#...#..#...#....#..#.......#.###......#......##..##..#....#...##.##.....................##...##....##.#...#.....#..#..#...#.#...#.#.###......#.#........#.....#.....#.....#......#.#.......###...................####........##...#.#.....##....#......#.#...#..............#...#...###....#....#......#....##..##...#....##....#.#.....#.#........#...###...#....#...#.#....#......#.#.##........#...#...#.....#.##..###........##..#.#.#.....................#.##.#.....#.#..#..#...#.#.###......#..##...#.#....#....#.#..##.......#.#.#...#.#..#..#.....#.......#.......#.....#....#........#..#..#......#...##....#...#.....#.....#..#.....#......#.....#..#.....#..#........##.....##...#.....#......#...#.##......#......#.##.#..#....#.#..##..#...#.#.####.......##.#........#.....#............##...##................#..###......#....#...#.##...#.......#....#..#.##.#.#...........#..#.......####....#.....#..##.#..................#.#.....#...##..............##....#..............#.#.......##
.#..#.####.#.....#.........#.#..#...#..#.#.##..#...#..###......#.......#.#...#.....#...#...##.....#.#......#...#......##....#.....##.....###..#..#.###.....###........##.#...#.........#.................####.......##.#........##.....#..####...#....#.........#.....#..#........#.......##......#........#.##..#...#...#...#........#..#..#....#..#...##...#.........#....#...###...#........###.##..........#....#......#...#.##...#........#.#..#...##......#......#.....#.....#....#....##....#.#.#...#..##.#...#...#......#...#.#....#......#.....#.....#.##....#.#.....#.#..##.....#.#.....##......##.##.........#.....#..#....#..##.#............#....#...................#..........#.....#.......#......#...#...#............##.......#......#.##.#...#....#.#......#...#.#..#.....##.###.#......###.....#.#..........#.....#.....#..#...##.....#.#....................#.#...#.#.#....#.........###.#.#..#..#.#....##...###..#.#.....#..##....#....###...##................#...#..........#....#...#.#....#.#.##.#.......##
..#...###..#........#....#.#....#......#...#...#...#..###..............#....#.#..#..#.....##......#...#..#.##.##.##...#.........#.##.#....#.##.....##....#.####..............#.........#................##..........####.........#.....#..###....###...#.#.###......#..#.#....#.#.....#....#......#..#.......##..#...#...#......#...###..##.#......#.....##.....##.#...#.............#.........#..........#....#.#..#.#....#......##.#........#.#..##....#.....#..##...#.....#..........#.#..##.....#..#...#..##.#.#.#...#..#......#..#...##....#.....#.#.......#.....#.#.......#.................###......#.##.........#.#...#..#...##..#..#....#............##..#.....#...............#......#.#........#.......#...##............#..####.....#......##.##....##.....#......#...#.#.#.#..####..##.#.##...#.....#.#.#.#.......###...##....#...#......#............#..#.#.....##.#...#..........#.....#.#..#..#....#..###....#.#####....#...#..#..##.#...#...###...#..#...#.....#...#...............##.#..#..#......#.#.##.#.....#..#
#.#....###.#.....#..#........#..#.#...##....#..#...#..###..............#...#....##.#....#...###.......#..#.####..##..#.#.....#..#....#..##.#..#..#.###......#..#......##.....##..#..............#..#..#..#.##.......#..#.......##......#......#..###..#....#.#..#..#...#.#......#.....#....#.............###.##.....##...#...........###.........#.##...##...#...#.#.........#..#.#..............#.##......#.....##.#.##...#......##.#......#.##....#...#.....###..#.........##...##.....#.#............#..............#....#.......#.....##.........##.#.#......#......#.#...#.....#.....#.##....###............##.....#..#..#..#.#..#..##....#...#.....#.....#........#.........#.....#....#.#...........#..............#.#.....####.#.##......#.....#..###....#...#.#..#...#.....#.##.#.#.##.##....#..........#.#.#...........#...#.....#...........#....#......##.#.#....#.#.....#.............#..#...#.#.#....#...........##...#....#...#....#..#..#.....##...##.#.#.#........#.#..#......................#......#.##.#.......##
###....##..#.....#.......................#.....#...##.##..............#...####..#......#..........#.#.#..#.#..#...#...##....#.....#..#..##..##.#.#...#.......#..........#....##..#..............#.....#..##.#........##...................###....#.#.....#...#..#..##.##.##...#....#......##......#......#.#........##...#..........##.#.##...#..............#.........#.............#.........#...#..#...##.#.#.##...#..........#.#.#........##.#.##....#.#....#.##..........#...#.....##.#.#.....#.##.......#..#.###...#..#..#......##........#.#..#...........##..........##.#...#.....#.##....#.......##.##......#..#.##.......#.#...#...............#...........#.#..#....#.............###...#......##.....##....#..#.#......#.#.##.......#......##.......#....#.#..#.........#.##.#......####...#.........#.#.#.#...#.....#...#......#......#..#...##.......##.#.#.....#....#...#.#.........#.#..#...#.#.#.......##...#.##..#...#.....#....#.....##.....#....#.....#........#.#..#..............#.#...#...................#.##
#.#....##..#.....#..#...........#........#.##.......#......#...........#..#...#........##................#.#...#.#..........##.##.#..#..##.#.#...#.......#.##.........#.##...##..#...........#..#.....#...##...........#.......##.........##..#..#....##...#.#......#..#.#........#......................##.........##...#...#.......###..###.#..#..#.....##................##..#....#.....#.....#..#.#...#......##.#.#........#..##..#..#..#..#.#.##...#..#...#..##....................##...##..#.#...#.......#....##.#....#.......#..#..#.....#....#..#.#...#.##......#.....#....#......#.#......##....#...###........#..#..#....#.##..#..#......#..........##..#....##.............#.#.....##.#.#..................#...#.#.......#..###.......#.......#..##..##.....#................##.##.#..####..#....#....#.#.#.#...#.....#.........#.......##..#..##............#.....##..#..#.#.#.#..........#.####.............#...#.####....#....##.#...#.#...#...###....#.#.#.#.....#........#...........#.#..#..#........#..#.#.......##
..#...#.#........#..#....#.#.#......#..#.#.#...........#...#...#.......#....#.#.#...#...#.#.#.....#...#....##..#.......#.....#.##.##.#..##.........#.......###........##......#..#..#..#................#...#...................#..........#.#....#................##.#...#...#.#.....#...........#..#...#...#.......#...#...#......#..#.#.......#.#......##.......#...#.....#..#.#..##..........#........#..#....#.#..#...#.....##...#........###.#......##....#.##.........#....#.....#..#.#...#.######..#...#...##....#.....##..#..#...##......#.....#.#......#......#..#........#.....#.........#.....##..#..##..#..#..#.....#.#..#............#.....#.....#..#..#.##......#..#...#.#.................#......##....#..........#..#.#.#......#.......###.#...#....#.....#..#........###.#..#....#..##...###.....#.#.#...#...###...##.....#......##.##..###.......#...#.#.####.##....#...#....#.....#.#.#.#...#..#..##.....#..#.......##..#......#.#...#...#.#...#..#...#..........#...#...........#.#.#..#..#....#.#..#.#.....#...
#...#.#..#.#.....#..#........#....#......#.#...#....#.#.#..#...#......#..#..###..#.##..##...###...#......#.###.#.....#.......#.#...#......####.#.#.###.................#.....##..#..#........#..........#.#............#.......#.......#..#.###...##.....#.........#..##.##.......##..#..............#....#....#.............#..#......#......#..#.#....#.......##.#...#.....#...#....#........#.#.#..#...##.#.........#.......#..#.........#.#.##.......##....#.......#......#...#.....#.#..#........#....#.......###.#.#..#..#...#..#..#.#....#....#........#.#.........##.#..#...#.....#.......###.....##.#.#.....#..#..#......##.....##.#....#.#..........#.....##.#..#....#.....#.........#.#.#.......#......#...#...#.#.....###.....#......#......##..##..##.....#...#..#...#...#.#...#.#.#..##.##.....#.....#.#.....#..........#....#.......#..##...........##.....#..#.#.....#.#.#......#..#....#.###.#.#..#..#...........#.#........#.....#.....#.....#....#...#.#.....#..###...............#...##..#.#....#......#.......#.
#.#....##..#.....#..#....#...#......#......##......##.#...............##..#..#..#..##.....###.#.....#....#....##.....#.#.....#..........###....#...###.....##...........##......................#.....#.##.......................#........##.##.......##.#..##.....#..#..#....#.#.##..#....#..............##.#...............#......###..#....#..#.##...#....#.....#...#.........#.............##...#.#....#.#.#.##....#.........#....#.....#.####..#.....#....##.##...#.....#....##....##...##....#...#...#..##.#.#...#....#..##..#.....#.#.........#..#.#...#.#.....#...#...#.....#.............#......#.#...#..#.....#..#..#..###.....#..#..#.#.#...........#..#.##..#.#....#..#...........##...........#.....##....#..#.#.......##.#........#......####.....##...#.#..##..#...#.#...##..##..#.###..#....#....#.#.#..........#.....................#...###......#....#.#...##.##..#...#.........#....##..#..........#.....#..###....#.#..##.....#....##....##................#..##...##...........#.#..#..#......#...#........#..#
.##.#.#.##.#.....#..#....#.#....#........#..#...#..##...#..#...........#..#.##..##.....##...##......#..........#.##....#....##.......#....###....#.........##..........#.#...##..#.....#.....#.....#..#.#.#..........###........#......#...##.#..#.....#.#.#.#..#..#...#.##.....#..#..#..............#...##...##.#..#....#...#..#....#.#.#.#..#..#.........#.#..#..#...#....#.........#........#.#.##.#...#..#...##....#.......#..#......#..#..##..##...#..#..#.#............#...........#...#.......####..#...#...#...................#...#....#.#..##.......#.#.......#..#..#.#..#................#.....##.....#................#...#..##....#...#..........##..#....##.........#..........#.#.#.#.......#.....##..................#...##..............#.###...#.....#...#......#.#.###..#.##...##..#....#.#...#.....#........##...#.....#...#...##.##..##..............#..#.#.......#.#.#.......#..#.#.###......#..##.....#..#..##....#..##.....#....##....##....#.#.#.#.....#....#...#...........#......#..#....#............#...
....#..###.#........#....#............##........#.........................###..............#..#...#.#.#..#.......#....#.........#..#.#.....##..#....#......#.#........####..........#.................#.#.#............................#...###...#.........###......#.................#....#.........#.......###.#...#...#...#......#..#..##..#....#....#.......#..#........#....##...#.........#...#.#...##.#.#.#....#..........##...#....##...#.........#...#.#.............#...#.....##...##..#.##.##......##.#.....#.#.....##.....##........#.........#...#.#.......#.#..##...........#.##...........#.#.#.#..............#...##.#...##....#....................#..##.........#..#..#....###...........#......#...##..#.#......#.#...##......#.....#.....#..#.........##..#...#.#..###.#..#.##..#..#...###...#.....#...#.........##.....#..#...##.##..##.......##.........##.##..#...............##...###......#..##.....#..####...###..#.....##.#..#....#.#....#.#.#.#.....#..#.#...#...............#..##.#.........#...........
.##...##.#.#........#....#...#....#.........#..#...##.#..................#..##.....##......#.##...#.#....#...#.#......#.....#..##.##....###..#.#...##....#..#..#.......#.#...##.....#...........#.......###.#........##........#.......#..#..#.....#..##.#......#..##.#...#...#...##......#..........#...##..##..#..#....#......#...###..#....#....##...#..#.#..#..#.........#..#.#........#....#..#......#......#.........#...#.##......#..#.####......#.##..###......#......#...##.....#...##.......###..#.....#.##..................#...#.........#....#...........#.#.##.##.#...#.............###....#.#..##..#.....#.##..#....#.##..##.#............#..........##.##......#..#..##........#...#......#......##...##..#.#.....#..#..#.......##.....##.#..#................#...#...#..#.##...##.##.##...##....#.#.#...........#...#......#..#...##...............#.#...#..#.........#.#.#....#..#.#...#......#..#..###......##.#..........#.....#..........##...##.#.#.#.............##.............#....##......#...............#
.##........#...............#....#.#.#.##...##..##..##.#....#...#.......#.#.#.#..##.##......##.#...#.#.#....#.#.........#.....#.#..##......##..#.....##...#..##.........###..........#........#........#..###........#.##..................###....#.#..................##.##...#.#.#...#....#.........#...#.#.##......#...#......#....##..#.......#.#.....###.#..............#...#....#.....#...#...........#.....##...#....#.....##...#..#..#.##.#..#.....##...##.##.........#....#.......#...#..#.#.##.#..#.....#.#.#......#..##..##.##.#.#....#.#..#....#...#.##......#.##.#......#.....#.#.....#.#....#.#..#......#..#.##......#...#..##....#.#.#.....#....#...........#..........##......#.#...#......##..............#.#......#...#.##.....#.......#..##....#........#.........#..#.....#..#.#...##....##...#.#...#...#...###....#....#...#....#.#.....#......#....#.#.#.#....#...#...........#.#..#.##..#.#.....####......#..#....#....#.....#.#...#..........#.#...#.....#..#.#..#...........#.......#...........##.#.....#.#.
#...#...#..#.....#...........#..#........#......#...#...#..#...#.......#.#..###.....#..##.#.#.....#...#..#.##.##..#...#......#....##.#..######...#.#........#.##........##.......#..#..#.....#.....#..#.##.##.......#.#........###.....#...#..#..##........#.............##...#....#..#...##.............#.......#..##..........#....###..##..#....##...#.#..#..#................##..##........###.#..#....#.....#..#.#....#...#.#.#.##..#..#.#..#.........#..###.............#..........#.#.....#..##..#..#...#....##.#.......##..#.......#......#..#..........##....#......#..#...#.....#..#....#..........#...##..#.....#..#....#.#......#..#.#............#...#..#.##.#....#..#...#.#.....##.#........#......##.........#............#......#......######...#......#..#.......#...##...####..##....#....#..............#...#......#........#...##.#....#........#.#.#.#..#....#....#.#.#.......#.#...#..#.#....#...##..........##........#.......#...#.....#......#.........#........#..........##....#.##.#....#...#..#.....#..#
.#.......#.#........#....#...#..#........#......#.....#....#.............#....#.#......##.#..#......#....#.##.##................#.......#.#.##.#.#..##.....##.#.......#.##.......#..............#..#....#.#.#.......#.##.......##.........##.#...##...##...##.......#.#...#.......##..#...........#..#...###.#.#....#....#...#..#......#..##..#.....#...#.##....##.#...#....#...##...##....#.......##........#......#............#....#....#..##.#......#.##..#.#............##...#.....#.##..#.....##.##..#.......#.#.#.#..#.......#.#..............#........#.........#..........#........#.....#.#....#.#.###.#......#..#......##.#.............#.....#.....#..#....##......#..#..##.#.....#..#........#.......#...##....#.....#..#.#.#......#.......#..#.#..#....#.#..#...#...#...##..........#...##...###.....#.#.........#.....##........#....#..#...##.......#.....#....#...#.....#.#....#.....#.#####.#.#.....##.......###.#....##..##....#..#...#.........##.....#.....#...##...#..........#....##.#..#......#....#.......##
..#.#.##.#.................#.#..#...#.##.#.##..##......#...#..........#..#..###.#..##........#...........#.#..##.#...###....##....##.....#.#.#.#...#.#.....#.#.#........#....#...#..#...........#.....#..#.#.........#...........#.....#.........##...##........#..#..........#.#.#.......##......#......#...###.#...#...............##...#.............###......................#....#..........#..#.#...#..#.#..#.#.##.......#.....#...#....#.#..##....#.#....#..#...#..........##......#......#.#.#.##..#...#....#....#......#......#.##.....#....#..........#.#...#.#..#.#..#..##.....#..#.....#.....###.#....#........#..........#..#..#..#.#.............#....##.##......#.............###..........#......##.......#.#.....###....#.......#.....##..##....#.....#..#...#.....#.#..#.####.....#.##....##...#.#.......#...#......#....##..#...#...#...##.............#..###.......#.#.#....#..#..#...#.#.#....#...#......#.#......#.#.........#.....#...##...........#.........##...#..........#....#..##.#......#.##.......#...
.#.....#...#.....#.......#...#.........#...##..#....#.##.......#.......#..#........##.....#..#....#...#........#.##..##.....#......#.#....#...##....#......##..........#.....#......#........#..#..#..#.#.###.......###........###.....#..###....##...##....#...#.....#..#........##..#....#.........#...#.#..##.........#..........##.#.#.##....#.##...#..........#...#........#.#..#................#....#...#......#...........#...#.....#...##......####...##.#..........##..........###.....#...##....#...#...#...#.#.....#....#.............#..##.........#.#.....#.#..#.....#......#..#......#....#...##...#...........#...##.....#..#..#...#.....#....#...#.##.#.......#..#..##......#.#......................##....#.......#....##.....##.....###.##...#......#...#..#...#.#..##....#...####.##...#.#.........#.......#.....##....##..#...#..##..##.......##...#...#.#..#.#.#.#...#....#.....#.####.......#...#.....##.##..#..#....#........#..#....#.#....#.#.#................#...........#.#..#.#..#......#....#.....#.##
..#.#......#.....#..#....#.#...........#....#...#......#...............#..#.....##.##.......###...#...#........#.##...#...........#..#.......###...#.....#.####..................#.....#..................##........####.......#.#.....#..#.#.#..##........##......##.....#...#....#..#...#.......#..#....##...#.....#...#......#.....#..........#.##...#....#.....#...#....##...#....#..........#.#..#...##.#.#..#...#........#.#....#....##..#...##....###...##..#...............#.....#.......#.#.##............#.#.#.#..#...#..#.......#....#.#..#....#.....#.........##....#...#.....#.##...........#...#..........#.....#..#...#....#....#.#.......#........#.##.##.#.......#..##........#...........#......#...#...........#....###......##.....###.#.#..#....#.....#..#...#......#......###.#..#....#......#.#.#........##....#....##.......#..............#........#.#..###...#........#.....#.#.#...#.#..#..#.#.....#####.#...##..#.....#......#...#.....##.#...#........##...#..............#.#..##......#.#..#.......#.##
.#....#..#.#........#....#.#....#...#.#..#.##..#......##...#...........#...#.#...#.....##.....#.......#..#.#.....##...#............#....###.#..#.#..#.......#............#....#..#..#........#..#..#..#.###.#.........##.........#........####...#....#..#.#....#...#.#..##...#.#..#..#...#.......#......#...#.......#..............###...##..#..#..#...###.......................#...#........###..#.#...#....#..#.#.#........#.#.#..#..#......#..#....#.....##...#...#.....##...#.....#.#..##..#.##.##......#....#........#..#....#..#..#.....#....##.#.......#.#...#.#.#...#.#..#......#.##.....#.......#.###..#.....#.....#..#....#..#..#..#.#.......#...........#....#....#......#......#.#.#........#...........##..#.......###...#.#......#.....##..###............##..#...#....#.#.#.#..#####.#......#...#.#.#.#.........#...##........#....#.#...#.........#.#.#.#..###...#............#....##.#.##..#........##......#.#.#...##...##..........##...#.....##...#.#........#................#.....#..#........#..#.#.....#..#
.##.#.##.#.......#.......#...#......#.##....#...#..##...#......#......#....#..#.#...#..#..#.................#..#.#.....#..........#.....###...#....#.......##.#.......####...##..#.....#.....#..#..#....#####........#.........##......#..#..#...##......#.#....#......#.##...#...#...#..............#...#...#......##..............#.#.....#.#..#........#............#....##.............#...#.#..#.....##.....#....##...#...#..............#.##.#..........#.#..#...#.....##...##....##....#..#....#.#..#..##.#.#.#......#.......#..#.##.....#....#....#...............#..##...........#.##.....#.......#.###..#.....#.#...#...#...#..#.....#.........#.....#....#..#..#....#......#.#......#..........##...........#....#.....#.#.....#.....#.......###.#...##...#.#..##........#.......#...#...#......##......#.......#...#.#...##.............#......#........#.....#..#...#...#.....#.......#.##..#..#...#..#...#.#........#.#....#..#.....#.....#.....##..........#........###.................#..#..#......#.#..........#.##
.#.....#...#....................#.#.#....#.#...##..##..#...#..........##...#....#..##..#..###.#...#.#.#..#..#....#....#......#.#...#.......#.###.#.##......#..#.........#.....#..#..#........#..#.....#.............##.................#...#.#...##....#....#...#.............#...#.......##......#.......##.##..#...#...#..........#.##.####.#..#..#.....##.#..##.#........#....##............##..##.....#..#...#..#.##...#...#..##.#.....#..###..#..............#....#.....#....#......#.#.##.......#.......#....###.#.#..#..#...#..##...#......#..##...#...#.##....#.#..#.##.............#.....##.....#.#..##..........#........#.##.....#..#.#.#.....#........#.#...#.#...........#.#....###..........##...........#..#.#......#.#....#............#.#.###...#...#....##..#.....#....#....#..###..##....#....#.........#....##.........##..#....#..#...........##.....#...##.###...#.#.........#.#...###..#........#.....##.#.#....###.....#.........#......................#..###...#...........#....#.##......#.#.#..#.......#.
#...#..##..#.............#.#.#......#...........#...#..........#......#..####..........#...##.........#....#.....##....#....##.#........#....###.#.#.#...#.#####.......##....#...#..#.................#...##.........#.........#.#.........##....###...#...#....#........#......#.##..#....#...................#.....#.......#......###..#.##.#..#.#.........#..#..#...#....#...#.#..#.....#....##..#.#...#..#...##........#.....###.....#...............#........##...#................##...#...#...###...#.....#.##....#......#.....##.#......#....#................#.#..#.......##........#.....#......#....#.#...#..#........###..#........#.#.#..........##..#....#..#.............#....#...#........#...........##..#.#.....###............#.....###......#......#..#.......#.#...#.....#..#.#...#...#.#.........#.......###.............#...##.#...##........#.......#..............#....#.......#..##...#.....####......#.###..#.#..##....#..#...#.....#...#..#.#.......#....#..##...........#.#....#..#.........#...........
..#.#...............#....#.#......#.#.##.#.#...#...##.##...............#.#..###.....#...#..#......#...............#..#......##..#.#.....###...#..#.#.....#..#.#.......#.##....#..............#..#.........#.#........#.........##.........#..##..#.#..##...###.....#..#...#...............#..........#.........#.............#......#..#..###......#.......#.#..#............#.......#.....#.......#.......#.#.#..#...##...#.....#.#..#....#..................##.......#.....##....#..........#.......#.#..#..#..#...#...#......#...#....##..........#..#.....#.###.....#..#..#.#...#.....#.##.....##.....#....#.#.........#..#..##............#.........#....##....##.##......#..#..#..#....#.#.#.#......##......#...##...........##..##........#.....####.....##...#....##..#...#.#.#.#...#.#..####.#....###.....#.#.........##....#.....#...#....#.##..##........#...#.#..#.........#.#......#..#.##...###.#....#...#.#...#.##...#...##..##.#..##....##....##...#..#.#.#.....#....#...#...........#...##..#.#......#..#.......#.#.
.##.#..##..#.....#................#........#........#..........#.........#..##...#.#......##..#............#.#.#.....#.#....##.##....#....##.###.#..........#.##.......##....##..#....................#.#...#........##........##......#....#.#..##....#...##...#.....#...#...#...#.......##......#..#....##..##.#..##................#..#.........##...#.#..#.........#........###..#.........#...............#..#...............#........##.###..##...#.##...##.##...#.....##...##....####..#.....#####.....##...#.#.#........#..##..#...#......#..#..#.......#.....#...##..#.#...#.......##....#.#........#.#.##.....#.##..#..##......................#....##..#.##.##.#....#......#.#.....##.................##...#............#.#.##.......##.....###.###..#......#...#......#.#.##....##..#.###..#....#..........#...#...##...........#......##.##..###......##.#.....#.#...#..#.#.#.#.........#........#........##....#.###..#..#.....#.#...#..........#...........#.........##...#...........#.#..#....#......#.#..#.....#.##
.##.#.#..#.................#.#....#.#..#.#..#......#..#....#...#.........##...#....#...#....##...............###..#..#.........#..##.#..#...##...#.##....#...##........#.........#.....#...........#....#####.......####........#.........##..#..###..##.#.###..#..##.##......#.#.#...............#..#.....#..##.#..#....#...#......##....##.......##...###......#..............##.........#...###..#.....#..#.#.#..#.##...#......##........#.###........#....#........#...........#....#.#......#.#...#...#...#.#.##..#.#..#.......#....#.#..........#.#.#...#.#.......#....#..#..#..............###......#.#...##..#........#...#...#..#..#....#.#................#..##.#....#.............#............##......#...#...#.......#.#....#.......#......##.##....#...#.#...#..........####...##.###...##....##...#.#.#.........###.............#...#........#.......#.#.#...####.........#.#.........##..#.##.#.......#.#.....#######....#..#.....##..................#.#..........##...##..........##......#..#.........#.#.........
.##....#.#.#........#....#.#.#..#...#..#.#..#......##.#.#..#...#.........##..##..#..#..##...#.....#...#.......#...#...............##.#..#.....##....#......#.#...........#...#......#..#.....#..#..#.....##..........##........###.....#.........#.#..#......#......#.#.......#.......#..............#....#..##..#..##.......#..#..........#.....#.##...#.#.....#...............#...................#.....#.......#........#...#.###.#...#.....#.#.#....##.#..##.............#....##....#.##.....#.##.##...#..##.#...#.#.#......#..#..#...##......#..##...#.......#...........#.#..##.............#.......##.##.........#..#..........#..##....#.#............#...#.....#......#.....#..#....###...#......#.......#.......#.#........#.####.....#......#..####..#....#....##..#.....#..###.###..#####.......#....#.#.#.........##.....#.....#..#......##..#........##.#.#.#.#.##.###.......#....#..#.#...####.#.#..#...#.....###..###...##..##.#.............##....................###...#...........#.#.##....#....#....#.........##
..#...#..........#.......#...#..#.#.#..#...##..#....#..#.......#......#.............#...#..#.##.......#.....#....##..##.....##.##....#....#....#.#...#...#.##..#.............##..............#........#..###.........##.........##.........#..#...##..##....#...#........##...#.#..#..#...........#...........##....#....#......#....#...####......##...#.#......#.#...#....##...##..#.........#.#.#.............#....#........#.#.#........#...##.......#......#.#....#..........#.....###...#..#.###..#..#..##...#.#.#....#..#....#......#....#.#.............#.#...#.#..#....#..#........#................#.#.##..#.....#..#..###.##..#.....#.#.......#.....#.....#.##.#....#..#.....#....##..#.#......#......##...#............#.#.##........#......##..##...#...#.#...#........#.#.#..#.#.........#.............#.#...#...#...................##.#...#........#....#.....##.###.#...#.#....#..#..#..#......#.....#........#.##....###...#....##....#....#.#....#...#.#........#....##.............#....##.#.................#...
.##...#..#.#.............#.#.#......#......#...##..#...##..#...#......##...###..#.........#..##..........#.#####.#....##....#...#.##....####.###.#..#....#..#.........#.##...##..#.................#..#.#..##........##..........#........#..##..#.#..#..#..##..#.....##......#...#...#....#......#.......#..###.#...#...#...#......#....#.##....#..#........#...#.#...#....#...###...#....#.......#......#....#.#..#.#....#...#...#..#....##.###..#.....###...#..##.........##....#.....###.#......##.#...#...#.#..#..#.#..#.......#..#..##..........#...#...#.##....#.......#.#..#......#.#.......#.........#...#..#.....#......##.............#.............#.......##.#....#..#..##.#.....##...#......##.....#....#............##............#.....#.#..##..#....#........#.....#.#..#....#..#.#.......##....#...#.#...#...#...............#......##..#.........#.#.#.#........#...#.............#...#.........#..#.##...##..##.........##.#...#.#..#.....#....##...#.#........#.................#....#..#.#....#...............#
###...##.....................#..#.#.#..#...##...#.....#.#..#...........#......#.##.##..##.##.##.......#.......#...#..........#.##.##.#...##..##..#.###...#.....#.............#......#........#.....#..#...###.......##..........#..........##.....##........##.....##.....#.......#...#...........#..#........##.........#......#........#.#..#....##....#.#...........#........##.........#...#......#........#.#................##.....#..#.#.#..##...####....#.##...............#.....###.##......##.......#..#.#...........#....#................##...#.....#.....#.#.#...#.#.........#.##....###.....#...##...........#.....##..#...........#.#..........##..#.#..#..............#......#.#.................##.......#.#.....##...##.......##.....#...#....##...#.#..#.......#.#.##....##....#....#...#.....#...#.#.......#......#....#...........#..##........#.#.#...####..#..#.#...#.......#....#..........#....#....#######....##..##.....#....##....#.....#.#...#.....#..#....##..........#.....#.##......#.#.............#
..#...#..#.#.............#.#.#..#.#...#.........#..#...#.......#......#.....##..##........####....#.#....#.##..#.##..###....#..##..#.......#####............#.........#..........#..#..#...........#.....#.##.......###........#.#........##.......#..##...#.......##.#.........#.#...#...##.............#.#.##..#.......#.............#.#.#........#...#.#.....##.#.........#..#....#...........#....#...#......#.....#...#...#......#..#.##.#....#.....#.#...##.#....#......#...##.....##..#......#.###..#..##.#.##..#.#.........#..................#.#.....#.##........#...#.#..#........#......##.....#..#....#..#..#.##.....##..#...#..#..#...#.....#.....#.......#..#....#.....##........#.#.........#......#....#..#.#.....#.....#.#.....##.....##....#..#......#...............#.#.####.#.#...##....#........................#......#......#......##........#...#...#..#...#...............#.##.#..#..#.#.....###....#...#..#........#.......#.......#.#....#.#.#.#.............#...........#....#..##..........##.......#..#
..#.#..###.......#.......#.#....#.....#..#.........#...#...#...#...........##...##.##...#.#.........#.#....#####..#..#.#.....#.##....#.....###...#.........##..#......####.......#..#........#.....#.......##.......####.......#.#........#..#...#....##...###..#..##.#..##...#.#.#...#...##.........#...#.#.#...#..##.......#..#...#.#...###....#.#....#.##.#.........#........#...............#..##.#....#.#...##....#.......#.#.#.......##.##...#......#.......#....#......#.........####..#.......##...#.......#.#.#.......#......#...##....#.......#.#...#.......#...#...#....##.....#..#...........###..#......#.....#..#..###.#....#.#......#.....#..........#..#.......#..#...#.#.....##...#.......#.....#....#.....#......##............#.....#.#..#....#.....#..##..#...#...#..#.#..#.###.#..#...#.#...#.#.#.#...#...###...#.....#........#.##...##......#..#.#.#.####.###.#...#......#.......#####...#..#..#..#....##.#..#...#....#....#..#..#....#.....#......#..........#...#...........#...##.#..#....#...............#
##..#.#..........#..............#.#.#.#.....#...#..#..#.#..#..........#..##.....#......##....#....#...#.......##..#.............#.......#....###.#.##....#..#.#........#.#...#......#..#........#.....#.#..##.......##.........#.......#......#...#...#..#.##...#..#...#.##.....#..#..#...#.......#........#.#.#.....#...#..........##.....##....#..#....##..#.........#.....#..##.........#....##.#.......#...#.##.#.#........#......#.....#.#.#..##...#..#....#............##....#....##.#.#...#.##......#..#.....##.............##.#...#.....#.#..##.#........##.....#.....#.#..#......#.........#.....#.......#..#...........#.#.....#.....#...#..........##..#..#.#..#..........##.#.....#..#.#.......#.....##...#.....#.....####..###.....#......##.......#....#....#.........#...##....#..##.#......#.....#...#.#.........#....#....##..#....#.##..#.#......##.....#..##..###.#...#.#.......#..#...##....#..#...#.....#.#.#.#....#...##..........#....##...........#.............#...........##.#..#.##......................#
.##....#...#...............#.#..#.#.#.##........#..#.......#...#..............#..#.##...#................#..#....##..##......#.....#.....#######....##......####.......#.#.......#..#...........#...........#.......#.#........###.....#..###....#....##.#.#.......#...#.##...#...##..#....#..............##.....#..#...............###..#.#.......##....#.#....##.#...#....##..#....##....#...###.#..#..........................#.#.....#.#....##.#.....###..###.#..........#....##....#..#.##....#..#....#..##....##.#.#..#.........#...##.........##.#........##...#.#..#....#.........#.##....##......#..###.##..#...............#...##....#...............#....##....#.......#..........##....#.......#......#....#....#...........##......##......###......#........##..........#..#.#..#..#.#.......##........#...........#....#....#................#.......#........##..#.#.#.#...#....#........#..#.........#........#.#..#..###........#.....#....#.#...##.#.........#..###...#.....................#....#....#.#.....#...
###......#.#.....#..#....#.#......#.#.##.#.##......#...#..................#.##..#..##..##..###....#.#.#....#.........##......#.#..##.........##..#..#......###........#......##.....#........#........#.#.............#.........##.....#..#..#....##..##.#.#.#.....##.#..##.......##..#...##......#......#...#.#.........#......#.....#..####.#....##...#....#.........#....##..##....#....#...#...##.....##.#.#..#.#.##...#.......#.##..#.##..###.#.......#...##............#.....#....#.##.....#.##...#..#..##.#..##......#...#......#........#.#...#.#.#......#...........##.............##.....#.......#.#...#...#..#........##..#.........#.#.#.....#....#.....##....#....#.....#........##...#......##.....##.................#...###............###.##........#.#..#.......#.#.#.##.#..#.......#....###...#.#.#.....#....##...##.....#......##.....#.#......##.#.#...#.##.##....#.............#...#.........#...##.....#.#.......##...#....#..#..#.....##...##.#...#........###..##..........##.#.#...#.#....#...#..#........#
......####.......#..#...........#.#...##...#........#...#.............##...####.#...#..#..#...#.............###..#...###.......#........#..#...#.#.###...#.##..#.............#...#....................#..#..#.......#.....................###....#.....#.#.###..#..#.....#........#.......##......#..#...##....#....##..........#....#.#..#.#....#.##...#..#....##.#........#...#..........#....#..#......#....#.#....##...#...#..##.#..................###.....#.#...........#...##......##..#.....#..##..........#.#..............#....##.......#.....#........#......#.##....#.................###....##...#...#.....#..#.....#.#.#....#....#...#..........##..#.##.........#..#..##.......#..#........#.......#....#..#.......###..#.##.....##......##..#...##.....#..#.........#.#......#..###....#...............#...#...##.....#....##......#.......##.......#........#.#.#.#.....#.........#..#..##........#.....#...##.###.#..##...#......#....##....##...#..#.........#..#....##...........#...##.........#...#..#........#
.#.....#...#...............#.#..#......#.#......#..#..##...#...#.......#..##.#..##.#...#..#.#.#...#........#####.#...###.....#.#........#..#.....#.##......#.###.......###...#......#..#.....#.....#.......##.......##.#.......#..........#.#....##...#..#...#..#...#.##......#............#......#.......#....#.#...........#..#...#.##.#.#.....#.#....#....#..#...........#........#...........#.##......#......#.#..#...#.....###.......##..##..#....#.#...##..#.....................##.#..#..#......#..#..##.#.##..#........#..##..#.###....#.#...#.........#.....#............##.......#.....#.#....#.#.#....#..#..#.##..#..#.#.##.....#......#..........##..#....#.......#..#..##.#.....##.#...............##...##..#.......#.#..###.......................#........##..#...#.#.#.......#.......##....#......#...#.......#.....##....#...#...##.##..###......#..#...#.####...#...#.#......#..#.##.#.##.......#.....#...##..#.##....#..##.......#..##.....#...##.#...#.....#..###..#...................##...........#.........#.
.#....####.......#..................#....#.........##.###.............#...#..##.#..##..#..#.........#.#....##.##.#...........#.......#..######...#.#.#.......#.........###....#.....#...........#.....#..#.##.......####.........#.....#..#.##...##.........#...#...#..#......#...#.......#.......#......##..#.#.#..#....#...#..#....#.....#........#...#.#..#...................##..#.....#.....#....#...#..#.#.#.........#...#.#.#.##....#..#.#.......#..#..#....#...#.....##..........#.........###.#.........#.....#.#......#..##.....#.....#.....#...#...#............#.##.#..##.....#.#.....###.....##.#.#.##..#...........###.##..#.......#.......#....##..........#....#.....##......##..#.........#..........##....#.....#.##.###......##......#.####.......#.....#........#.###.....#.###.#..#.....#...#.............#.#...##....#...#...##......#.......#..#.#.#...#..#.#...#........#..#....###.............##.....#.##.....##..#..#.........#...###...#......#.............#............#.#.....#........#.##..........#
..#.#..##..#.............#......#.#...##.#.....#....#......#...#.......#.#...##..#.##...#..#......#...#..#.#.#.......#.#..........#......##.#.#..#.##......####.......#.#....#...............#..#.......##.##.........#..........#...........#...###.....#.#.#..#...#...........#.#.......#..........#.......##.....#........#..............#.#..#.......##.....##.#........#....#..............##.#..#...#..#.#......##...#...#.....#...#.#..##...#.....##........#.........#.....#.....#...#.....#.#.#...#..##.#.##..........#......##..#.......#..##.#.......#.#.......##.#..#..#......#..#....#.#......#...#.##.....#.#...#...#.......#....#...#...........#..#..#.#..#.............#....###.#........##.....##................#.....#......#......##.##....##...#.#..........#.....#..##...###...##...#.....#.#.#.....#.........##....##......##.......#.......#.......##.#.###.......#............#.###.#.#..#....#....#.###.#...#.....#.#...#....##...##....#............#...##..##.............#.#.....#....#.#..#.......#.#.
###...###...........#........#........##....#......#...#...............#.##..##..#.#.........##...#.#.#....#..##..#..#......#............#.#..#..#.##........#.........#.....#......#..#........#..#..#...#.#.......###................#..#......#.#..##.#.#.#........#..##...........#...##......#......#...#.#................#...###..#..#..............#.#..#......#....##...#.................##.#....#...#..#....#...#.......#.##..#..#.###........#.....#...#.........##....#....#.##.....#.....##.....#..........#..#..#.......#.###......#..##...#.....###.......#.........#.......#......##......#.##..##..#.....#.....#.#..#........#.#..................#...#............##......###.#...............#.....#..#.......####...##............###...#..#..........#..#...#.#.##.#...#....#........##....#.#.......#...###...#.....#...#...##.....#........##...#.#.#..#..##.....#.........#.#...#.##......#....##...##..#.#.........#.......#..##.....#......#.........#..#.#..#..............#.##....#......#.##.#.....#.#.
#.....###........#..#....#..........#.##.#.#.......#.......#.............#.#..#.##.#....#.........#...#..#.##....##....#....#..#..#..#...#...##............###........#..#...##.....#........#..........##..#........#..........##..........###..###..#..#..#...#..#.....##.....#.#...#...........#..#.......#.#.#.......#...#.......#....#..............#......##..............###..##....#...###.#......##.#...##...#....#...#..#...#....##..#.#.......#....##..#...........#...##.....###..#.....#####..#.....#..#..#...........##.#....#......#..#...........#..............#..##.....#........#.....#...###.##.....#........###.#...##....#...#...........#..........#....#.....#..#....#.#.#.#......##......#...##....#.....#.......#.....##.........##...#......#...#..#.......#.##.##.....#.#.#.....#....#.#.......#....#....##....#.......##..#..#........##.#...#...#..#.#.#.#..............#.#..#..#.#..#...##....########..#.#.....#...#.#.......###....................#....................##..#........#..............
.#.....#.#.......#..#....#.#.#..#.#...#.................#.............##..###......##...#.#####...#..........#.#.#..........##.##..#.#..##..####...#.#.......###.......###...##........#........#..#..#.##.#.........#..........##........##.#...#.#.....#..##..#..##.#..##...#.#..........#...............#..#.....##.................#.#....#....#.....###.#...#.....#....##.......##....#....##.#......#............#...#...#.###........#.#.........#......##.##.........#..........##....#....#.......#..#..........#..#............#...........#....#......##...#...##..#.#.........#.##...................##..#..#.....#..#.#.............#.......#...........#..#.#....#..#...#.#....#...#...............##.......#.#.....#.#..#..#.....##......#####.....................#.#.#.#.......##....##...##....#.........#.....#....#....#...#...#......#........##...#.....#......#.............#..#.#.#...#....#..#..#...##.##.##..#....#..#...#..........##........#..........###..#................#.....#......#.#........#.#.
##....#..#.................#.#..#.....##.#.........##......#..........#..###...........#..#.#.#..........#.#.#.#..#...#.....##.....#....#..#..#....##....#.###..........#....#...#..#........#........#..#.##.......#...........#......#..#...#..#.#..#..#...#......#.#..#....#.#.##..#...........#.......##.###....##.......#..#...##.............#....####.................#..##....#....#........#.#...##...#..#...##.......#.#.#.#......#.###.......#..#..##..#....#.....#.....#.....#.#.##....###.##..........##.......#...#......#.#.#......#...#.#.......###.......##..#.#..##.............##......#...#..#........##..#....#.##..##.#..#...#...........#....##.#..#....#........#....##....#......#...........##............##.###......#.......##......##...#....#...#...#.#...#..###......#.#.....#....#...#.....#.....#...##.....#..........#...##.........#.......##.......#.#.........#.....#.##...#......##....########..###.........#.#..##.........#.................#..##..........##...##.##........#.##.#.......#.
....#..#............#....#......#.#.#....#.....##..##.###..................#.#...#..#...#.##.##...#.#.#..#.###...#....##....#..##.#..#..#####.##...#.#...#.##.##........#........#....................#.#..............#........##.....#...##.....#.........#...#.....#..#....#.#.....#....#......#..#........##.#..#....#...........##....##......#....##.#...........#....#...###..#.....#...#.#........##......#.#.#....#...#..##.##....##......#.....###..#.#..#...#...........#......##.#.....##..#...#..##...###......#...#......#........#.#...#.........##.........#.#..#.........#..#....##.........#.#.#...#..#.#.......##......#.#....#............##....##..#.#....#......#.......#..#........#...........##....#.....#.##.#.##.....##.....##.##.#...#.........#..#.......##.#......###.#.##...###.....#...#.......#.....##....#...#....#.....#.#......##...#....#.#.....#.#...#....#....#..#.....#....#..#.#......#..#.#.......##....#..#...#.....#...##.#...#.....#..##....#..........#..#..#...........#.#..#.....#.##
#.#.#..#...#.....#..#....#...#..#.#....#....#......#..#....#...#.........##...#.#..##......#.##...#.#........#...#.....#.....#.#..#.......##.#.#.#.##....#.#.##.......#.......#.................#.......##.#........##.#.......###.....#..###.#...##..#....#.......#..##......#....#..#...........#......###..##.#..#...........#.....##............#....#.#.....#.....#....#....##...#....#.......##.....##.#...#..#......#...#...#.#...#..#.####..#...##.#..#...#...........#.........####........................##...#.....##...#..#.#......#.#..##.#.............#.........#..#........#.......#.............#.....#.........#..#......#..#.#.#..........##..#.....#.#....#.....#..#.....#..#.#......#......##...##..#.......##.#..##......#......#.#..#...#....#.#..##..........###..##.#..#..#.......##...#...#.....#.........##....#.......#..#...###.......#.........#...##.#.#.#.#.......#..#.#.#.....#......#.#...###.#...........#....#..#..#.............#.#.#........#....#...........#..#..#.........#.#.#..........##
..#.#......#.....#.......#...#....#............#...##..#.......#......#..###..#.##.#...#.....#....#.#......#..#.......#.....#.....#..#..##.##.##...#.#.....##.#.......#.##....#..#..#....................#..#.........##.........#.........#.#...###..#....#..........#..#....#.#.#...#....#.............#...#.#.#..##...#..........####.#....#.....#....##..#..##...........#...##..#.....#....##.##.#...##...#..#.#..#.......#...#.#.....#..#....##...###...#.#......#......#...##......#..#.........##.....##...###.............##.##.###..........#.#.#...#.###.....#.#..##.#..##.............#.#....#.#..#..##.......##..#....#.#....#....#.#............##..#..#.#..#.......#..#..#....#.....#......##.....##...##..#.#.....####.###......#........#####..#....#.#..#.......#....#.#...##.#..#..##.....#...#.....#...#..........#........#....#..#..#.#......#....#.....#..###............#..#..#.#.##..#.#..#..#.##...##.#####..........#.........#...#.....#..#.#.#.........................##.#..#..#........#..........#.#.
..#.#...#..#...............#....#.#......#.##..##..##.##...#..........#...#.#...#......#..#..#...........#.###.#.....###....##.#..#..#...####.......#......####.......###.....#..............#.....#..#.#.#.#...................#..........###....#....#...##......#..##.#....#....#..#...#..........#...##...##....##...#......#...#..#..##.....#.##.....#..#..##.....#....##..#.....#........#.#.#..#....#...#..#............#.....##..#....#.....#...###.....#.##.........#....#.....##.#..#..#...#.##.....##....#..#.#..#..##...#.#..###......#..#..#.#...#.#.........##.#..#...#........#....##.....#.#.#.#.##.....#.##.....##...#............#...........#..#.##.#..........#...........##...#......##.....##.......#........###.................##.#..#..#.........##..#...#....##....##..##.#.##.........#.#.............#...#.............##.##...##......#..#.#.#.####.......#.#.#....#.....#..##.#.#.......##.#...###.#......#.........##....##.....#...##.....#.....#..##...#...........##....#.#...........##.......#.##
..#.#....#.#....................#.#.#..#........#..##.###......#..........####..#...#..#..#.#.#...#..........#...#...###.....#..#..........####....#.#...#..#.##......##.....#...#..#..#........#..#..#..#.##........###.........#...........##...##...............##.#..##.......#...............#..#.....#.##..#..#....#......#...###.....#.#..#..#...#....#...#.#..............#........#.....#.........#.....#..#.#........#.###.##....#........#...#.#...###..#...#......#....#.....#.#.##....#.##.#..#...#...#...#.......##..#..##.#...........#........#.#.#...#.#....#............#..#....##......#......##..#....##.....##.........#..#.......................#.............##......###.#................#....#..#.......####.#.##.....##......##..##..##............#............#..#....#...#....#......#.#.....#....#....#.....#........#..#..###......##.#.#.#...##.##..#...............##.#...#.........####.....#..#....#.....#.#..##.....#....##...#....#.......#...##..##...............##.##.#......#............#.
#.#...##...#.....#.......#...#..#......#...#...#....#..#...#..........##.#.#..#....##..#..#####.......#..#.##....#...###....##.#..#.....#..#..##...###...#...................#......#...........#..#......###.......#..#........#.........###.#..##...#..#...#.....##.#...#.....#.....#...##......#......#.#..##.#...#...#...#..#...#......##.#..#..#...####.#...#.#.........#..###..##....#.....#.#..#....#.....##...#....#...#...#.#...#.##..##..##.....#...#....#..............#.....#.#..#...#..#####.....##....##...#......#..#..#..##..........#..#.#...#.#.#...#...##.##.#...#.......#.....###.....##.....##........#..#..###.#.........#.#.#.....#....#...#...............#...#......#.....#.......#.....#....##..#........##..###......##.....##.###........#.#............#..#.#......##.#...............#.......#...###.........##..........#...#........#..........#.#.....#........#..#..#.#####.#.#..#...###...#.#.......#.#...#.......#..##..........#.#.#.......#..#.#...#..........#...................##.......#.##
#.....#.#..#.....#.........#....#......#.#......#..#...##......#.......#..#.###.#...#...#....##...#...#..#.###.#.....###....##.#.............###...#.......##.#.......##.#...#.........#.....#..#.......#.#..........#.#........#......#..#####..##....#.#.##......#..##.##...#.......#...##.........#...###..##.....#...#......#...#..#.##......#.#....###..#...#.#...#....#....#.........#....#...#.....#.........#.#..........##..#.....##.#.##......#......#..##...#.....#....##....#.#...#....#.#.##..........##..#.......#.......#.##..........##...#......#....#.#.#...#.#...#.....#.......##.....#...#...##..#....##.....###..#..##......#.......#.....#....#...#......#......#......###...........#......#...#.....#......#.....#.......#.....###.#....#.................#...#..#..#.....###.#......#.....#.......#...##..........#...........#..##.......##.....#.####.#.#.#.#.#......#.....#.###.#.#....#.....#...##.........##..##.#...#.....#...#........#.#.......#...##..##..........#..#..#....#.....................
###.#....#.......#..#....#.#........#......#.......##.###......#......##..##..#.....#..#..#####.....#.#....#..##.#.....#.....#.##..#.#..###.#.#..#..#....#..###..............#...............#..#..#.....##.#.......##.#..................###....##....#........#..##.##........#..#..#....#.........#...##...##.#.......#......#...#..#..#......#......###..#.....#........#.....#...#....#....##.#..#...##........#..#...#...#..##.##..#......#...#...#..#...#...#...#.....##.........####.#.....#...#.......#...#.#...#..#...#..##..#..##....#.......#.#.....###.......#...#.#...#.....#..#......#....#.#............#.....#...##.##.....#....#............##..#.##....#..........##.#......#...#.............##...#.....#.....#....##.......#.......##..##..##........##..#...#.#.##.#....#..##.#........#.......#.#.......#.#...#......#......##..#..#.#.........#.#.#.###...#..#.#.#...........##.###........#..##.....######.#.......##....#......#...#......#.....#........###...#..........#....#..........#....#..........#
#...#..#.#.#.....#..#....#......#.#.#.#..#.........##......#..........##.#....#.##.##..#.....#....#.#......#.##..##..#.#..........##......###..#.#..#..........#.......#.#.......#..#..#.....#.....#..#.....#.......#.#.........#......#..#.##.....#.......#....#..##..#......#....#.......#......#..#...#...##..#..##...#...#..#...###...#.#.#..#..#...#..#.#...#..........##....#........#...###.##.#........#..#....#...#......##.......#...#.#.##...###...#.#............##....#.....###..........###.....##.#.#...#....#..##...#.#..#...........#....#...#...#...#.#.##.##.#............#....###.....##.#.#.##.....#.##.....#...#...........#.#..........#...#....#..#....#..#..#..#....##..#.#......#......#........#..........#...........#.....#....#....#.....#......#.....#.......#...#..#.......##....#.#...#........##..................#.##...##.......#........#....#......#.#.......#..#..###..#........#.#....#.#..##...##..#.....#......#.........##.#.#.#.........##.................#.#.....#........##...........
#.#...#....#........#......#......#.#.#....##.........###.............##.#.#..#.##.##..##....##............#..#......#.......#.##.........##..#....#.....#.#####........##.......#..#..#........#..#..#.#.##..........#................#...####..#.#..##.#.###..#...#.##.#................#.......#......###.##.....##...#......#.....##.###..#..#.#....#.##....##.#...#..........#...#........##..##.#......#....#...#........#..#.........#.##....#....##.....#.#...........#...##....#.##..#..#.#...##..#.....#.#.#.#.#..#......#......##....#....#..#.#...#.#.#...#.#.##.##....#......#..............###..#...#..#..#........#.#..#..##......#.#.....#....##..#.#.....#....#......#......##..#........##.....#....#...#.......#..#.####.....#........###.#.......#.#............#..##..#..#.....#.##....##.....#.#.#...#.....#....#........#...#......##........#.#.#...####..##.#.....#....#..#.#....#...#....#..#.##...#...##.#..#....#.....#..........#.#........#............#..............##......##.#......#.##...........
.#..#..#...................#.#..#.#.#..#...#...##.....#.#..#...#..........#...#..#.##...#.##.##.....#.#........#..#.............#.##....#.###.##...#.#...#.####.......#.##....#.....#..............#..#..#.##.........##.......#.#.....#...#.##...##..#....##......#..##......#.#..#..#....#...................#....#....#...#.......#.#.#.##.#....#.....###....##.#...#.....#..##.........#.....#.##.....##.#...##.#..#...#...#..#..##..#.##..###.#....#..#...##..#...#.....#....#.....#..............##.....##...##.......#......##....##.....#.#...........#.###...#.#..#.##....##..............#......##.#.#.##.....#..#..#...#..#...#.....#...#.....#.....#.....#....#.......#...#.#.....#............#................#......#...###......#......##.##.#..##...#.....#..#...#.#.##...####.####...#...#.#.....#.............#....#....#.......##.#....#.......##.....#.##.#..##...#.#.#....#.........#.#...........##...#.#.###...#.#..#......#.#.......#.#......#...#.....#..###..#............#.......#.#......#.##.#.......##
.#....#..#.#.....#..#...........#........#..#...#..##..#...#...#.......#....#....#.....##.##.#................##.##...##.......##.##.#.....##.##...##....#.#.###.............##..#.....#........#..#..#...###.......##.#........##.....#..#..#...#....##...###.....#......#.......##.................#...###.#.......#.......#..#........###.....#........##.#..##.#............#..........#.....#.#......##.#...##........#.....#....#.....#...##.#....#..#..###..#...#......#...##....#.#......#.##.#.#..#..#....##....#..#..##...#.##...#....#.......#.....#...#...#.#..#....#..#..............##.......#......#..#..#.#..........##..#...............#....##....#...#.........#..##........#..........##...........#..#.#.....#..#.##.#.....#......#...#.........#.#...#..#.....#..#.#....#.#...#.......##.......#.#...#.........##............##..#...#.......#......#....#.#.#.....#......#..#.##.##.........#...##....#..#........#..##....#............#...#..#.............##..#...........#..........#....#.#..........#.##
#...#.####.......#..#....#...#......#..#....#...#..#...#...#...#......#..#.#.##.#..##..##...###.....#.#......###.##..###...........#.#.....#..##.#..##.....###........#..........#.....#.....#..#..#..#..#..#........#....................####..............##..#........##........#..#...##.............###.#.#....##...#...#..............#......##....###.#..##.#........##..###..##.........##.#..#....#.#...#..#.##...#.....###.#...#.#....##..#...##.#......#................#....###..#...#....#........#.#..##.#....#...#.....##.##.............#.....#.#.#...#....#.#..#..#.........#....#........#......#..............##..##.....#..#....................#..##.#....#..#...#.#........#........#.......#...##............##.####......#.....#.#####..#..........#..#.....#.#.....###.#..#..##...##....#...#.....#...#.#.........#...#...#......#...........#.#.#..#...#.#...#.#.#.........#...##.#...........#.....#.#..##...#....#.#..#......#.....#...##...............##..............#........#......#...##.#.....#..#
.##...#..#.................#...........#...##.........##..............#...#.#...........#.####....#......#.#####.....#.......#..#.#.....##..#......#.#........#.......####....#..#.....#.....#..#..#....####..........##........##........#......###..##...##......##.#..#....#.#..........#.............#.#.#...#..##.......#..#...#.....#.#....#......#.##....#..#...#....##..###...#........###.#..#....#.....................###..#..#..#.##........#..#...##.#...............#.....#....##.....#..##..#..##...#.#...#..#......##..#...#....#.#.....#.#.....#.#...#.#....#..#...#.......##.....#......#..#.#..#..#..#.##..........#...#.#..#.#............#......#.#..#....#...............#.#.#.............##...#...#.#............##.....##.....###.#.#...#.....#...#..#............#.#..#.###.##.....#.......#.#...#...#.....#.........#...##.##...##.............#...##.##..#.#...#....#....#..#..#....#..#..#.#.....#.#.##....#...#........#..#.....##...##.#...#........#.#..#............#......#..#......#..#.......#.##
.#....#.#........#.........#......#...##.......##..##.#.#......#.........##...#..#.##..##....#........#..#.#...#.....###....#..##.#.....#.#....#.#..#.........##......#.#........#.....#.....#..#.....#..###...................#.#.........##....##...#....#........#....##.....#.#...#...#...............##.#.#.#...#.......#.........#..###.#.........#..#....##.#...#.........#...##....#...#.#..#.#...##..........##...#...#.##..#........###..#....####.......#...#......#...#.....#.#......#...##.#......#...###..........#...#.##.##.......#.......#.....#.#.....#.....#.....#.....#.##....#.......#...#.........#.........#...#..##.#......#.....#.....#.....#..#.#....#..#..##.#.....#..#........#......#....##..#........##..#........#......####.#...#.........##..#...#.#....#..###..#.#..##...#.#...#.#.......#....#....#......#..#...##.....###.......#.#...#.#.##...........#.........#......#.#.......##.#...#..###.#...##........##................#.#...#........#.#..##..........##....#....#....#...##.......#.#.
###....#...#........#......#........#......#...........#...#..........##.#.#..#..#.....#..#.##........#....#.###...............##.##.#..###..#...#.......#.##..#.......#.#....#..#..#..............#.....##...........#........###.....#...#..#..#.#..##...###.....#...#......#.#..#..#...#.......#........#.#...........#...........##...##..#....#......##....##.....#.........#...##........##..#..#...#..#.#..#....#.......#..#...#..#....#..#.##...##.#....#..#..........#....#.....#.#..#....#..##.........#.##.......#..#...#............#....#..#.....#...#........#................##....##......##..##..#.....#........#.#........#............#.....#..#..#.##.#....#.....#..#....#.#.................##.......#.#............##.....##......##..#...#....#.#..##..#...#.#.#......#...##...##...##......#.................#.....##..#...##.....#.#......#....#.#..##.................#..#.#..#.###.........#..#.....####.#..#.#..#..#........##.........##...#.#..........#...#................#.##.#......#....#........#
#........#.......#.......#.#.#....#.#..#...##......##...#..#..........##.#.####.#..##......##.#...#.#.#..#...#....#...#..............#....#.#.#.....#......#.###.......#.#...#...#..#........#........#..##.#..................###.....#..##..#..#.#..##....##..#......#.##...#.#.##..#...#.......#......##......#..#...........#...#....##.#....#..#.....#........#........#...##...#...........#...........#.#.#....##.......#......#....##.##...#....##.#....#......#......#....#....#.##.##..#..##..#..........###.#.......##...#..#..#.....#.#..#....#...#..#....#....#.#..#..##.....#........##.....#..##..#...#.....#..#...##.#...........#.#..........##.....#....#....#..#...#............#......##...........#..#.#......#.#..###............###...#..##...#.#...#..........###...#......##.##...###...#.........#....#....##....##..#....#.....##........#.......#....##..#...#...............###..#.......#......#.#..##....##...#.#...#.#..#......#......#.#.......#..#....#............#.#.#..#..#........#..#........#
#.....####.......#..#..................#...##...#.....#....#...#.......#..#.#....#........#..#....#.#.#..#..#.##.....#.........#...#.#..##..#....#.##......##.........#.#.....#........#........#........##.........##.#.........#........#.#.#..#.#...#.#..##..#...#.##.#.........#..#...##......#......###.#...#..##.......#..#...###.....#....#.#.....##..#.....#...#....##..##...##........#.#.##.....#....#..#.#..#...#.....##..#........#.##.#....#..#..#.#..#...#......#...##.....##...#..#...##.#.....##...###.#....#..#...##.....##......#..##...#...#.#.....#...##.##.#..##.....#.##....##.......#.#.#.#...#....#...#..#.#..#..#.......#.#.....#.....#....##..#............##......#............#......##....#..#.#......#.#.##.#.....#......##....#..##.....#..##......#...#.##..##...##...#....##........#.........#.#....#.....#..#...#..#...#.................####.#.#.....#......#..#.##.###.#.#.#..#..##.#....#.#####...#...##.#...#.#..#....#.....##.....#.........##..#...........##.#.##.#.......#..............#.
.##.#..##..#....................#...#.##.#..#..#....#..........#.........##.#...#..##..#..###.#.....#.#..#.##.#..##..#.........##.......#...#......###........#.......#.#....##.....#..#........#..#..#.##..#..........#.......##......#..#.#.....#...##.#.###..#..#..................#....#......#..#...##..#...#..#.................#..#.#..#....##...#....#.....#...#.........#..............#...#.#......#...##........#................#.###..##....###....#.#...........#...#......##..##....#####.......#.#..#..#....#...#..#.....###......#..##.#.....#.###...#.............#.....#.#.....#......###.........#.....#..#..#.#.#...##.#....#.#.....#....##..#..#.#.......#..#..#..#........#.#.............##...#...#.#.....#.#...##......##......#.#.#...##...#.....#..#...#........#....###....#...#.....#.#.#.....#.........#.....#...#...##.##...##...........#.#.##...##....#...........#....###...#.#..#....##....#.##..#...##.....#..##....#..........##...#............#..............##....#.#..#....#...#........#..#
###.#....#..........#...........#.#...##.......#...##..#...#..........##.#.###...#.##..##...#.#...#.#.#.....#..#..#..##........#.....#..##.#.##..#.......#.....#.......###................................##..........#..........#........#..#...#.#..##.#..#......##.....#...#...#...#...##.............###.###....##.......#......###..####.#..#.##...#..#.#..#......#....##........#........##..#..#...##...#..#.#.#....#......#............###.##..........##......#................##....#....##..#...#...#.#..#..#....#...................#.#..#........#...#...#...##.##....#........#.....#......#...##......#..#........#.#.##.....#.................#.....#...#......#..#..#..#....##............#.....##...#...#.........#..####......#........#.#....#...#.#............#....#.#....##....#......#.......#.....#...##....#..............#..#..#.#......##.#.#....#.#...#...#.#.#....#....#..##.##...#..#..#.......###........#...#.#...#.#...#...###...##.#.#.#........#.#...#...........#.#.#..##.#......#.#..#.....#.#.
..#.#.#.............#....#......#...#...........#.....##...#...#.......#...###..##..#..##.##......#...#.....#.##..#..###........#....#...##......#..##...#..#..#.......#.....##..#...........#..#..#....##..#..........#...................#..#..#.#...#....#...#..#..##..............#...#.......#..#.......#...#..#...........#.....##.#.#..#..#..#...#.##....#..#............##...#.....#...#...#......##.#.#..#...##.........###.....#....####............##...#...#..........#..............#.###.........#...#.#...#.....#...#..#..###.........##...#.....##......#.......#..#......#..#....#.#....###.###..#........#..#...#......##.#.................##....##..#......#..#..........###...#.......#..........##...........###...##......#.....####.##..#....#....#.......#...##.#.#..#...#...##...#.#.....#.#.....#...#.#...#.....##......##.....#........##...#.#.####.....#.....#....#..#..#..##.#............#.....#..#....#.#.....#...#....##...#.#...#....#..........###..##...........#...#...#...........#.#.....#...
#.#.#.#.............#........#....#....#.#.##......#....#......#......##..#..##.#..##..#..#..#...........#...###.#...##.....##.#.....#..#.###.#..............#.#......###....#...#..............#.....#...#.#.......##.#.......###.....#..#..##...##..##.#.##...#.....#...#.......#...............#..#...#...###....##.......#.........#.#.........##...##.#.#...#.....#....##...##...#........#....#.#......#....#.#..#...#...#.#.#.....#.##.####......#.........#................#.......#.##......##....#...#.#.#.#......#...#..#.....###....#.#.....#.#...#.##....#.#.##....#..#......#.##.....#..........#...#.....#.##..#..#.......##.#..#.#.#................##....#....#.....#........#............#......#...##..#.......##...#.##.....##.....#.#.#.....#...#....##..#.......#.#.....#.##..#.##...##......#.#.....#...###...#.....##......#..##...##.......#.#.#.#....#.#..............#..#..#..#.##......#..####.......#.......#...#.#.....#..##...##......................#...#...........#.......#........#..#..........#
.......#.................#...#........#.........#..##..#.......#.......#....##..#..#...##..##.#...#.#.#....##..#..#..#......#..##....#....##..##...#........#.#.......##.#...##..#..#........#..#.....#.##.#.........#.#.......##.........#.#.#.......#..#.##.......#.##.#........##.................#...##...#..#..#...........#....#.#..#.........#...#..#.#.....#...#........##...............#.#..#...#..#.#....#.#..........#.#.##..#.#...#.#.#....##.#...##.##...#..........#.....#.#..#.....#####...#..#..#.#.#...#.........##................#..#.......#.#...#.#.#..#.....#..............#.#....###...#..............#...#..##...#......#.#.....#....##..#.##..#.........#..........#.#.#.........#......#...#...#.......##...#........#......###.###..##.....#............#.##...#.....##.#......##....#...#.#...#...#.#....#....#...#...#..##..#.............#...#....###.....#.#.......#....#.....#.#..#...###......#..#...###..##.#..#..#..##....##......#.........#..#....##..................##.#......#.##.#.....#..#
###.....#..#.....#.......#.#.#..#........#.##......##.#....#..........##...#..#.#..##..#..####....#.........#.#...#...#.....#..#...#.#..#.###..#.#.#.......##.#.........#.....#..#.....#.....#.....#....#.#...........##.......#..........#..#....##...#...#..........##.##...#...##......##.........#...#...###....#........#.........#..#.#.#..#.##....##..#..#............#.............#.......#..#....#.....#.....#.......#.#.#.#.....##....#..#...#..#..###............##...##.....#.#..#....####.#..........#.#.#.#.....#...#.....###....#.#...#.#.#...#..##.....#....#..#.........#.##............##.#...##..#..#.........#..##..#.....#...............#..#..#..#.#....#..#...#.#....#.#.#.........#.....##...#............###.####.............####....#......#......#.....#.#......##.##.##.#....#.......#...#........#....##....##..#...##.#...###.......#.#.#........#.#...#...#....#....##..#......#..#..####...#.#...##....#.........#.#..#....#.#...#..#.........#...##..#...........##.......#......#.#..#.......#.##
###.#..#.#.......#..#......#.#.............#..........#.#..............#...#....##.#..........#.......#..#..#.....#....#....##.##.##.#..##...##..#..#....#..#.##......####...#......#..#..............#....#.....................#.....#..##......#......#.###........#..#.........#......##......#..#....##.###....##...#...#......#.##..#.#.#....#....####....##.#...#....##...#...#.....#....##..#.#...##.....#..#.##.......#.##...#....##..###..#.....##..##..#..........#....#........#.#...#.###.##.....##.#.......#.....#...#.....##.............#.#...#.#.#.....#.##.##.............#.....#.#............................#.#.#......#............#.....#....#..#.......#.....##......#.#...#.......#......#.......#.......#.##.#.#......#.......###..#..#...................#..#.....##..#.##.#....###...#.........#....##...##........#....#.##....#......#........##.#.#.#.....#.#.........#..####............##....###..#...##...##....#..#..#....###......#...#.....#..##...##..........#....##.#..#....#.#.##.#.....#.#.
##....#..#..........#....#.#.#......#.##...#...##.....###..#.................##..#..#..#...###...........#.#.##..##...#.....##.#..#..#....#..#.#.#.#.#........#.......##.#...................#........#.............#.#..........#.....#...#.##...#...#..#.###..#..##.....#........#......##......#..#...##..#...........#......#.....#...###.......#...#.#.....##.#........##..#..........#...###.#..#....#.#.#.#..#.#........#...#..#....##.###...#....##...##..#....#......#.........#.##..#..#.####.#......#.#..##..........#..##....###....#.#.....#.#...........#...#........#.........#....###....#.#..#..##..#..#..#.....#...#...#..#..#..............#........#.......#..#...#.#..................#.....##...##..#..........#.###......#......#..####..##...#............#.....#..####.#..##..#....#........#...........#...##.....#......#..#...#.#.......#.#.#.#.##....##............#....#....##....#..#.....#...#####.##....#.....#...............#....#.#............###..##...........#.#.#...#........#.#..#.......#.
#.#...#.#..#.................#..#.#.#.......#..#...#.......#...#...........#.#..##.........##.#.......#.....##.#.#...#......#...#..#........#..#...........#..#........#.....##.....#..#.....#.....#..#..#...........###.......#.......#..##.#...........#.##............##.......##..#...#.......#..#..............##...#......#......#....#....#..#...#..#....##..........##..#.....#............#......##.....##...#...........#...#.....#.#..#.#.....###......##...#..........##....#.##.#.....###..#..#..#..#.##....#..........#..#...#....#....##.......#............#..............#..#.....#.....#...#.#..#.....#.##.....###.##..##.#..........................#..........#..#....................#...........##..#.......##.#.#.#......#.......##..##..##.....#..##..........#.#..#.##..#.#...#...............#.......###....#........#....#..#..##.......##.#...#.##...#.#.#.....#.......#.......#....#..#..##.....####.#.#..#.......#.....#..#....#.....#..#...#........#.#..#...........##.#.##.........#...#............
.#..#.#.#..#.....#.......#.#....#...#....#......#.....#.#......#......##...#....#..##...#..#...............#.#.........#.......##.#..#....#...#....##....#..#.##......###....##..#..#..#........#.....#.####.........#.#...............#.....##...#...#.....##..#...#.##.#....#....#......##......#.......#......#...#...#............#...#.#.#.....#...#.#..#.....#.........#....#..#..........#...#......#.#.#.#.........#.....##...#..#.#...#.........#.#...##.##....................#..#.....#.........#...#.#..##......#........................#........#.#.....#...#...#.#...#........#....###....##....#........#..#..#..###.##............#.....#....##..#..#..#.#.......#..#.......##...........#.......#.....................###.....#.......#.#..#...#........##..#...#......#.#..#.##..#......##......#.......#...#.#...##....#...#..........###.......#.#.......#..###.#...#.#.......#..#..#..#.#.......###.....###.#.........#........#.......###....#.#.#.......#..###..............##.#....#.........#.#..#.....#.##
###...###..#........#......#.#..#.#...#....##..##..#...#...#...#..........##.#..##.#......#.#.#.....#......##..#.#...#.#........#........#....##.#...#...#.###.#........#.....#..............#..#.....#....##........##.........##........##.#....#....#...###......#....##...#...................#.......#..###....##..............#.....#...#....##......#.#...#.#.............#...#.....#...###.#..#....#.#.#....#......#......#...#..#.....#.#.##.....#...###.............#...........##.##.....####...#..##.....#.#.#..#...#.....##.#...........#..#.#......#......#.#..#......#.......##.....##....#.#.###........#.##..#...#..#....#....#...#...........#..#.#...#.#.......#.....#....#...#........##.....##.........#......##..#..#...............#..#...#.....#..#...#.....#..###...#.....#..##....##.......#.....#...#.....#......#..#...##..#...#........#.#.#.#.#..#..#......#..............#.....#.#.....###......#..#....#....#..#..##...........#....#...#.......#..#....#................##..#......#.#..........#.#.
.#..#..###.#.....#.......#.#......#....#.......#....#..##..#..........##.##.#.#.##..#...#.#..##..........#....#...#..#.......#.##.#..#..............##.....###........#.##...#......#........#..#..#..#.##.#........#.#........###.....#....#....###...............#...#.##...#.#.#........#......#..#....##........##.......#..#...#.##.#..#....#.#....#........#.#........##........#....#..........#....#..........##...#.....#.#.##.....#..#.#.##...#..#..#.#.#....#.....#.....#....#.#...#....###.#...#.....#..........#......##..#........#.#..##...#.......#...#.#..#.#..#..#.........#...........##..#.#........#..#......#...#..##.#......#.....#....#......#..#.........#.....#.....##...#......##......#...#...#.#.....#..#...#......##........#.#...#....#.....#........#.#.##.#.#..#.#.#.#.....##...#.#...........###...#......#..#....#.#...###......#..#...#.####..#..#.....#............#...#.#.......###.......##......##..##.#..##.#..#.....##....#.#...#.....#..#.#..##..........#....##..#.#....#......#.......##
..#...##...#........#....#...#.............#.......##.#...............##.#...##.#..#...##.###.....#.#....#..####..#..###....##.##.##.#...#.#####...##......#####.......##....#...#..#..............#..#...#.........#.#........#.#........##.##..#.#........#......##....#....#....#..#...##......#..........###.....#...#......#......#...##....#.##...###..#..#............#...##..#..........##.##.#...##.#.#.##...##...#...#.##..#...#..#.###..##.....#...##..##.........##...#........#.....#.#.#.##..#..#.............#......##..#........#.#..#....#......#......#.......#..#......#.#.....#......#.#..##.##.......#......#.#..#..#.....#.#.#..........##....#...#............#..#.....#...........##......#....#..#.......#.#..##.#.....##.......#.............#..#.......#...#.#..####...#....#...#.#...#.#.......#...###....#....#..........#...#........##.#.#.#.#....###.....#.#....#..#....##....#....#..#.#.....#.###.....##........#..#........#.....#.#...#.....#...##..#...........#........#.#......#.#........#.##
..#...#..#...............#.#.#..#.#......#.#.......##.#........#..........##.##.##.##...#.#..##..........#.#.###..#..#.#....##.##.##.#.....#.....#.##....#.#..........#.##...##.....#..#.....#..#..#....###..........##.........##.........##.....#......#...#.....##.##...........#......##.............#...#...#..............#...###..#.##.#....#.....###.#.....#.........#.......#.........#..........##...#.##.#......#...#.##..#.....#.............##.....#......#.....#....##......##.#........#.......#........#.#......#...#.##.#.#....#.#..##.........#.#...#.#.#..##....#.........#............#...#..#...#.....#..#..##...#.....#....#.............#..#.#..##......#.....#.......#...#.#......##......#...#.....#.....####.##.#.....##........#.....##.........#..#...#....#......#...#.#.#......#...#.#...#.............#......#.......#.......#.........#...#.#........#.#...........#.##.#.....#.#..#...###...##...###..##...#..#...#.....#...###...#..#...#.....#........#..........##.#.#..#.........#.##.#........#
###.#...##...............#...#..#...#..............##..#.................##.#.#..#.#...##....##.......#....##..#..#..###....#..#.....#..#.#.#.##.#.##....#............##......#..............#.....#..#..#..#.......##.........##......#..#####....#..#..#.#....#..#..##.##...#...##..#....#.........#...#.#..##.#..#........#......##...#.#.....#.#......#......................#...#.....#...#...##.#...##...#.#.....#.......#..##..#..#.....###..#...###...#.#.##...#...........#.....#.#.....#..###.#.....#..#.##....#..#..##..#.....#.#.........##.......#.#.#...#.#..#..............#.........#....##......##..#..#.##..#..###.##..##.#....#.......#....#.....#...#.............#......###.#.#.............##....#...............#.#.......#......#........#........##..#.....#...#..#..#.##..#.##....#....#...#.........#.....#......#..#...#...#..###......##...#.#.###.................#..#.#...#.##.#.........#......###.##..#.#...#.#..##.#.......##.......#.#..........#.#..#............#...##....#......#..#.......#.#.
##..#......#.............#........#.#.##............#..#..............##.#..#......#...##...###.....#......###.#.#....#.....##.##.#.....##...##..#.#.#.....####........##....#......#........#..#.....#.###.#........#.#.......##......#...####..###.....#..#...#..#..##.#....#...#........#......#..#.....#..#..#..#....#......#.....#..#.#..#.........###......#.....#........#....##....#...#.#.##.#...##.#.#....#.#....#...#..##..#....#...#...##.....#............#.....##...#.......#...#..#....###..#..##...###.........##..#..##.###............#.#...#.#.#...#.#.##..#....#.........#.....#.......#.#...#...............#....#..#.....#.#.#.....#....#........#.......#.....#..#....##..#.#..................##..#.......##...###.............#.##.....#....#.#..........#....##...#.#........#....##.......#.#...#...#.....##....##......##..#..#.#.........#.#.#.#....#.#.#.#.#......#........#......#..#...##....#.#####.........#....#..#.......#......#.....#.....#.......##..................##.#....#............#..#
###.#..##................#.#....#...#....#..#...#...#......#..........##.####.#.##..#..#..##.##...#.#....#..#..#.....###.......##..#.#.....#.###.#.##........###.......#.#...#...#...........#.....#..#.#.#.#.......#.#........##......#..#...#...##...#.#............##.##...............##.........#...#...###.#.......#...#..#....#.#.#..#.......#......#.....#.#.........#...##........#....#.........#..#....#............#.........#.##.#.#.......####......#....#.....##.........#.##.##..#..#####.....#..#...#.#.#.........##................##.#.......#.#.....#..#..#..............#....###....##...#...........#.......##..#..##.#..#.#.#.....#........#.##.#.......#..#...#.#....#.#...........#.....#..........#...........#...............#.##.........#....##............#...#.....#...#....##....#.............#.....#.....#.......##.##...##.............#...##.##..#..........#....##..#..#...#.....#......#.#.####..#.#..##.#..##.#...#....#....#..#...#.........##...#...............#..........#...##.#.......##
###.#......#........#......#....#......#.#......#...#.###..............#.#...##.#...#..#....##......#......#...#.##...#......#..........##.#.....#.##.......##.........#.....#..........................#..#........#.#.........#......#..#...#...##..#..#.##...#..#..#..##...#.#.#...#....#.........#....##.#...#...#.......#..#...##.#.#.#.......##...#..#.......#........##..#.#..##....#.....#..#.....#..#.#....#..........#.#.#.......#..#.##.#.....#....##.......#.....##....#....#..#.#...#..####...#.....#...#......#...#..##.##.###....#....#....#...#.##....#...##.......#........#......##........##..##..#...........###.##...#...................##..#....#.............#.......##....#.......#..........##..#.#.....#..#.#.#......##.....####.#...#.........##......#.#.#.#...#.#.#.##..#....#.#...#.#.......#....##....#.....#..#...#...#...#........#.#.....###...##.#...#.#....#.....#..##...#.#..#....#.....#..##....#.............#..#.....#....##.#.#.#.............#...................##...................#.#.
..#.#....#..........#....#...#......#..#...#...##..#...........#......##..#####.#...#..##.#..#.............###.#..#..#......##.......#...#.##...............#.##......#.#....................#..#.........##........#..........#.#..........#....#.....#.#..##..#.....##.#....#...................#..#...#...##.....##...#...........#......#.#....#....#..#....##.....#....#.....#..##........##...#.....#..#........##...#.....###.##.....#..##...#...####..#.#..#.........##...##....#.##.#...#.#.#.#......##.#.###.#....#...#..##....###....#.#..##..........#......#....##.....#....................##..##......#....##..#..#...#...##.#..#.#.#..........##....##....#..........#..#.....#..#.#......##......#.......#.......####..##.............##.#.##.......#....##........#.#.##.........#.......#.....#.#.......#.....#.........##......#..##...#.......##.......##.#.#...#.#.#.#..........#..##...........###.......#..#...#.#...#....#.....##...###....#...#..........###..#..............#.##.#..#....#...#..#.........
###.#....#.......#..#....#...#.........#...##......#..###..#...#..........###....#.##.......#.....#......#.#...#..#..##.....#......#.#..#.##..#....##....#.#.#...........#...#............................###.......##.#.......#.#.........#.##........#.#......................#..#..#...........#......###.#.#.....#..............#..#......#..........##..#..#......#.....#....#..#.....#........#.#...##.....#..#......#...#.........#....####..#....##.....#......#.....#....##....#.##.#...#.#..........#..#..#....#.....#................#....##.#.....#.###.....#....##...........#.........#.....##.#.#.##.......#.......#...#..##......#.#..........#......#.#..............#.#....##..#........##..........#...#.#......#.#.#..#.............####.#.........#..........#...####...#..#####.##....##.....#.#.#...#....#.....#....##..#....#.#...#.#.........#.....##.#.##..#.#...#....#..#.##.##.#..#.#.......#....##...###...##..##..........##....#....##..............#.....#...........#...#...#.#......#..#.#.......#.
##..#..###.#........#...............#....#.##..#......#....#...#......#..###..#.##..#.....#.#.....#.#.#.....###.......#.....#...........##..####.#.###...#.#.#...........#...#......#..#........#..#..#....#........####.......#.#.....#..###.#....#..#..#.##...#...#..#..#...........#....#......#..#....##...#....#....#......#......#.#..#....#......#....#...#.#...#.....#..##.........#....#..#......##......#.#......#...#.###........#.##........#.#...##..##...............#....##.#.##....#.###...#...#...##..#.#..#...#..##.#...##....#.#..#........#.###.....#....#...............#....#.#........##..##..#..#.##..#...#...#...#....#...#..............#..#..#......#.....#..#......#.#........##.....##...#...........##...####.....##.......####....#........#.......#...........#..#.##.#....#.#.....#...#.......###..........#..#...##.......#......#....#.#...#...##.#.#.#.#.......#....##.#....#..#...#.......##..##...##..##...........#...#.#....#...#.#..............#..........##...#...............#.#.......##
..#.#.##...#........#.................#....#........#......................#....##.##......##.....#...#.....###...#..#.#....##.#.....#..#...#..#...........#..#........##........#..#........#.....#..#.###.........###.........##.........#.#...##....#...#....#.....##.................................#.#.............#...#..#.........#...#..#.##...###.....##.#...#..........#........#........#.#...##.#.#.#.....#...#...#......#..#..#.#..#.##...#.....###..#...#.................#..........#.#.#..#..##.#...#......#..##..##..#..##....#.#..............##...#.#.##....#...#........#...............##...#..#....#.......#..##..##......#.#..........##....#...#......#..#...#......#...................##.........#.....#.##...##.....##......##..#........#.#...#..#...#...#.#...###.###.#.##.....#...#...#.....#....##...##............#...#..##.......#..#......###.#.#.#.#.#...........##...###......#...#.....#...#.##...##..##.....#....#......#....#..............#.#...#..........#.................#.............#
#.....##.........#..#....#.#.#..#.#.#..#...#...................#......##.#....#.##.##.....#.#.#.....#.......##.#...............#.....#..#.#.#.#............#...#......#.##...#...#.....#.....#.....#......###........#.#.........#.....#...###.........#.#.#.#..#..#..#..##...#....#.......#.........#...#.#.#.#.........#...#..#....#.#..#.#....#........##....#..#...#....##..#.#..##....#...#....#........#.#.#....##.................#.#...#.#.#......##....#.#...........#...#.....##....#..#.##.##.......#...#.....#.....##..##.#..#.#....#.....#.#.....#.#.#...#.#..#.#..#...#.............##.....##...##.....#.....#..#...##.#...#..#..#.........#.....#..#..#....#....#.....##.#......#.#.#.......#......#...#............###.##.#......#.....##..#...........#......#.......#.##.####.##.#..##.....#...................#....#....#...#....#.#.............#.#.....###..###.#.....#....#..#.##.##.##.#.#......#.....###...#...##......#.........#.........##.#...#..........#...............#...#..##......#.#....#.....#..#
....................#......#.#..#...#.#....#.......##.#........#......#...####...#.....#....##........#..#..#.##.#...#.......#....#..#.....#...#.#.#.#......#.##......#..#....#..#.....#.................###........#..........#.......#...#.....#.#...#.#......#..#..#..#......#.##..#...##.............#.......#..##.......#..#...#..#.####....#.#....###......#.#........#....##..............#.#.........#.#.##.#.#..........#...#...#....#.#...#....#.....##..................#....###..##....###.##......#.#.#.#.#.#..#...#......#........#.......#.......#..........#.#......#.....#.##....#.#.....#..###.##..#..#..#..#...##.##..#...............#.....#..#.##..#.........#...#.#.....##.#.........#.....##...#...........#......##......#......#...##...#.....#..#...#...#.#..##..#.#..##.#.......#.#.......#.....#....#...........#..#......##.........................#...#.#...#............#####...#.....#..........#.##...##..#.....##....#..........#..#.........#...#...#............#....#....#....#.#.#..#........#
##.....#...#........#....#...#....#...#....##..##...#.#........#.......#..#.###..#..#...#.###.#...#.#.#..#.#.##.......#.........#..#......##.##..#.......#..#.#.......#......##.....#........#..#..#..#.........................#.........#..##..#.....#.....#................#....#..#....#......#.......#..##..#..............#.....##.#.......#.##......#....#..#...#....##..##.........#...###..#......#.....##...##.............#...#.#..#....#......#....##.#.....................##...#...#.##.##...#..#..#..##.#...........#...#..##......#..##...#.....#.......#.##.##.....#.....#........#.....###...#..#........#..#..#........#.#............#....#......#.#..#....#..#..#..#....###.#.#.......#......#....#..#.......##....##.............#.##......#...#.#..##..#...#....#.#.......###........#........#.#...#...###.........##.........#...###......#..#.....###..#.#.......#.........#..#.##..#.#.......#....##...#.#...##...#.......#..##....##...#..#.........#...##...#...........#....#.#..#....#...#..#.......#.
###........#........#......#....#......#.#..#.......#..##..#..........#..#.##.#.#...#...#..#.#.................#.#.............##.......##..####.....#.......###.......#.........#..#...........#..#....##................................#..#...###..##.#..##..#..##.##......#.......#...##.........#...###.....#..#........#........##.#.#..#..#.##...#.......##.#...#.............#.....#....##.........#.#.#...........#...#...#.....#.##......#....#.#....##.#..........##.........#.#...#....##..#...#..##.#.#.....#..#.............#...........#...........#...#.......#.............##....###....###.#....#.......#...#..#.#.##..#..#......#..........#.....##.#..........#..##.#....##..#.........#.....#................#..#.####.....##........####..#......#..........#.#.##.#.###..####.......###.....#...#........#....##....#...#...#..#...#...........#.#.#.####..##...#.#...........#.....#.......#..##.#...#.#.#.....#.....#.......#.......##....##.#.........#..#.#..#............#.#..#....#....#.#.##.......#...
#......##..#.....#.......#...#......#..#........#...#.###..#...#......##...#.##....##.....##.##.......#....#..##.##..#.#........#.#..#....#.##.#...###.....###.........###....#.....#........#..#..#................#.....................#......#.#..#....#.#..#.....#.........#..#..#....#.........#...........#.......#......#.....##.#.##.#..#..#...#..#.#...#..........##..###........#.......##.....##...#...............#..##.#...#.#.......##......#..#...#....#..........##.....##..#......###.#.....#.............#......##.##...#..............#.....#.......#..#....#...........##......#....##....#..#..#........#...#..##...#.#..#.#............##..#.##..#.#....#..#..##.......#..#........##......#...............###....#.......#.....#.###...........#..##......#...........#.##.#..##....##...#.#...#...#...##..........##..#...##.##...#.......##.....#..#.#...#...#.#......#....#..#.##....#..#..#.##...#...#.....##....#.#...#.#..#....#........#.#.......#...#...............##.#.#...#..........##..........#
......##.#.......#.......#.#....#.....##....#..##..##.##.......#......#...#..#......#..#..##.#....#.#.#.......##..#............#.....#....###.#....#.#...#.####.......##......#..#...........#..#..#..#..##.........##.#.........#.....#....#....###..#....#.#................#...#...............#......##..###.#..##...............##..####.#.....#...#.#......#.#...#.....#..#.#...#....#.....#.##............##...##.......#..#...#.......####.#....#..#...##.#...........#...##....##...#.....##...#..#..#..#.##.......#.......#..#.##.....#....##.#.#...#..#....#.#.##.##...........#................#...#..#.......##..#..##..##..#.....#.#.......#.....#..#....##.........#..#.......#.#.#.#.......#.....#....#.....#......#.#.#........#........#......#.........##..#...............#.#......#....##...#.#.#.#.........#...#.........#....#......##.......#...#.#..##..##....#.#.........#......#.....#..#....##...#.#.#......#...#..#..#......#...###...#....#.......#..#.#...#..........##..............#.#....#........#
#.#.#.#.............#......#....#......#....#..##...#.###......#..........#.#.#..#.....#....##......#.#..#.#####..#..#......##.....#....##...#.#...##....#...###.......###....#........#........#.......####........###........##.........#.......##..#.............#.........#.#..#.................#.....#.#.#.#...#..........#.....##.#.##......#....#....#..#...............###........#....##.##.....#..#.#....#.##..........##..#..#..#..##..##...##....###.#..........#.....#.....#...#...#.##.#........#.#...#.#...........#..##.#......#.#..##.......#...#...#....#.......##.......##.....#......#..#.#.##.......#......#...#...#....................#.....##..#.#....#.....##.#......#.#................#...##....#.....#..#..##......##.........##....#..................#.#..#.####..#.##.#....#.#.....#.#..........##.........##..#...................#..#...#.#..#...#...#...........#.#...#.........#..#........#.#.##..#....#..#...#..........#.....#...............#...#............#...#..##.#....#....#.#.........
.##.#..#...#.................#..#.#.#..#.#.##..#...##.##...#..........#..####.#.##.##..#..#####.....#....#...#...#...##.....##.#...#......###.##....#.......#..#......#..#....#..#....................#.#..##.......#.#........#..........#..##..##...##.#.#.#..#...#.##.##...#.......#...#..........#....##.#......#........#.......#......#.#....##...####.#..#............#....#..#.........#.#.#.......#.#......#.#........#.....#......#.#.##.##...###....#.......#......#....#....#..#.##..#.##.#.#.....#....###.#.#......#..#..##.##.......#...#.#.....#.##...........##...........#.........#.....#..#.......#.....#.........#...#..#......#...........#....#..#.......#...............#..........#............#..#........###....#............#.####...#......#..##..#...#...##.#.##.#.###....#...###.....#...#...#....##....#....#...#....#.#...#.........#...#.#..#....##...#.#......#....#..##.##.#.#..#..##.......####....##....#....#..#..##...##.........#.#..........#..#................##..#......#...##..........#
..#.#..#.#.#.....#..#......#.#........#..#.##..##...#.###..#...........#.##..#...#..#..##.##.##...#..........#.#.......#.....#.##.......#...###....#.....#...###......#.##...##........#........#.....#.#...#.........##.......##......#...##.#..###..#.....#.......#..#..#.....#.#.......##......#..#...#..........#................#.#.........#.#....###........#...#.....#..#.#..##....#....##...........#......#..#...#.....###..#..#.##.#.#..#....####..###.#...............##....#.##.#.....##......#.....#..#..#.#..#..##.....##...#......#.......#...#.#.#...#....#.##.#...#.....#........##....##..#.#..#........#..#...#..#...##....#...............#..#..#.#..........#..#..#....###..........##.....#....#...#.......#..#.####......#.....#....#....#.....#......#...#...####.......##....#...###.....#...#...#....#.....#....#.......##.##...##.......#.......#..#.##..#...#............#.#..#....#..#..####...#.####.#..#.#.....#...................##.#.#.#........##...##..........##.#....#..#....#....#.......#.##
....#..#.#.#.....#..#....#...#....#.#....#..#...#......#...#...#..........#####..#.#...#...#..#.....#....#....#..#..........#.....#......##.####.#..##.....##.##.......#...............#.....#..............#.......##..........#......#....##...#.....#.#.##...#...#.#..#....#....#......##.............##...##.#...#...#.............#.###.......#.....#......##.#........#........#.....#....#.....#....#.#....#.#..#...#...#.#...#...#....#.#...#....#.#..#.#..#...#.....#....#........#..#....##.###......#.#...#.#....#...#.....#..###....#.#..##...#......##.......##.#..#..##...............#....#...###.##..#..#..#.....##...#..#..#..#...#..........#...#..#.#..........#..#.......###.#.#......##......#.........#.....##.#....#.....#......##.##.....#...#....##......#.#.##.#....#.....#..#...###.......#.....#...###....#....#...........#..###......##........#...#.#.#...#.........#..#.##..#...#.....#..#....##.#......#....#....#..#..#.....##...##...#.#.....#..#.#...#..........#..#.....#........#.##.......#..#
#.#........................#.#.............##..#....#...#..#...........#.##.##...#.#...##.###.#.......#..#..#.##.#...##.....##.....#....#.#...##.#.........####.......#.##...##........#.....#..#.....#.....#........#.........##......#..#.##....##.......###..#..#..##.##.....#..#..#....#......#..#...###.###....#........#..#........###.....#..#...........#......#....#....##.............##....#...#..#.............#...#.#...#........##.#.##....#.....##..#.........#............#...#....###........#..#..#....#..#.......#....###....#.#..##...#.....#.....#....#..#....##........#......#....#...###........#.##..#..........##.#..#...#.....#....##....##..#.#....#.....##.#....###.#.........#..........##..#.......#....####......#.....##.####..##...#........#.....#..##..#.....##.#.#.....##.....#.#.#...#..........#....#...#...#...#...#..........#.#.#.##....#........#.........#..#.###.#.#.....#.......#........#.#..#.....#..#..##....#.........#.......#...#...##..........##.#.##....#......#.#..#.......#.
#......###.#.....#.......#.#....#...#.#..#.##...#...#.#....#...#.......#.#.#.##..#.#....#................#..#.##.....##......#.#..#..#.....#.........#......##................#..#..#........#..#.......#.#.#........#.#........#..........###....##.....#.###.....#..#..##...#.#.#..................#.....#..#..#...#...#...#.......#.....##......##............#..........#...##...#.........#......#...##...#.#..#.##...#...#.###.#...#..#....#..#...#..#...#...#..............#......##..#.....#.##.#..#...#.#..#..#....#..#.........##.....#.............#..##.....#.#..#............#..#.....##....#...#.#..#.....#.##..#..###.##..#..#..#...#..........#.....#.....#.......#.....#....###..........#......##.......#.#......###..#.......##.....#..##.#..##........##........#..#.#.##.#..#...........#...#.#...#...#...#.....##....##..#....#.##...........#......#..#.#.#...#...#.#.......#....#####.........###.....####..........#..#...#.#..##....##..........#.....#....#..............##.#.##..#...........#.......#.#.
..#...#.#...........#........#....#......#.............##......#..............#....##..#..#.#.......#.#..#.#...#.##..###....#.....##.#..#...#.#..#.#.#...#....##......#......#...#...........#.....#.....#..........#.##.......#.#.....#....#.#...#...##.#.#..........##.##...#...#.......##.........#...###.###.#...........#......#....#..#.#....#....#.##....#...........#....##..##....#...##...#.#........#..#.#..#.............##........###......###.......#....#.....##.........#.##.##..#.#.......#...........#.#.....##.....#..###............#.....#.##....#...##..#....##.....#.##......#........###.....#..#.#..........##..##........#.....#..........#.....#.............#........#........##.....#.....#....#.....##...#................####....##...#.#..##..........####.####.###....#.....#...#...#................#....#...........#....#.........#.#.#.#.#....#...............#.##.####...........##.....#..#.#...###...#.#..#..#........##...#...............#.#..##.............#..#.##......#....#.......#.#.
..#.#..###...................#......#..#....#...#......##..#.............#..#.#....##........#....#.#.#.....###......##......#..#....#..##.###...........#..#.##......##.#...#.........#.....#..#..#....###.#.......###.........##.........#..#..#.#..#......#.....#..##.#....#...#.......##.........#....#..#......................#.#..#.#..#....##...#.#..#.....#...#....##.......#.....#....#.........##.#........#...........#..#...#.##.#.##.##...#.#...##..................##.....#.#.##....#.####.....#.....##......#......#..##.###....#.#..##...#......#......#..#..#.#..##.....#.##....###....#.#..##..#.....#.#......##..#....#....#...#...........#..#.....#.........#...........#..#....................#...........###....#.......#.....#####.#.......#.#...#..#...#.#...##...##.#.#....#...##....#.........#...###...#.....##..#....#.##..................#..###.#...#................#.###.#............#...###.##....###...#....#.....#....##....#..#...#.....#..#....##..........#.....#.##.#....#...##.#........#
....#..#...#........#....#......#.#................##.###..#...#......##....#...##.##.......#.#...#.#.......##..............##..#.#.....#...#.#....###......#.##........#....##..#..#..#..............#..#..#.........##........##.....#..#.##....#....#.#..##.....#...#.#....#.#.##..#...##......#......##..###....##...#......#.....#..#..#.#..#.##............#.#...#....##..###............##..#..#........#.#....#....#...#..##.#.....##..#..........#...#..............##..........###.#...#.####.#..............#....#...#..#..##.#......................###..........##.#..#........##....###......#......#..#.....#.....###.##...#.#..#...#.....#....##..#.##..#.............#.#........#.#......#.......#....#..#.......#......##.....#......#..#.##.........#..##..#.....#.##.........###...#...#.......#.#.#...#.........##.....#......#...#..#.#.........#.......#...#..#.#...#....#....##..#..#.#.#......#.#...#####.##...##........#...........#.....#.....#.....#..#.#..##..................##.#....#.#..#.#.....#.##
.##.#..###.......#.........#....#.#....#.#.....#...#....#......#......#...#####..#.#....#...#.#...#...#.....####.....#.........#..##......##.#...#..##...#.#..#.....................#..#.....#..#..#....#.###.......##..........##.....#...#.##..#.#..##........#...#..#.##........#..#...##.............#.....#.#..............#....##....##....#..#...#.#.....##...............##...#....#....#..##.....#..#.#..#.#.............#...#........#...#....####..##..#....#.....##...#.......##.........###...#...#...#.....#......#..#..##...#.........##...#......#....#.#..#.##....##.......#.....#......#...#.......#....#..........#....#......#.......#....#......#.##.#....#..#..........##..#...............##.......#.#......##..##................#...#....................#.#..##.......#..#...#...###...#...#.#.........#....................#....#.......##.....#.#.#....#.#.#.............#..##......#.....#.#.....#.#..##...##..#..#..##....##....#.....#...#.#........##...#.............................#..........#.##
.##.#......#.....#..#........#......#.##.#.##......##.###................##.#.#........##.#...#.............##.#.##...#.....#...#.#..#...##.#.#..#.###...#..#.##......###.....#..#.....#.....#..#.......###.#........###........#......#..####...###.....#.#.#.....##.##..........#...#...........#......###...#.#...#..........#...#.#..#.#............####.#..##.#........#..............#.......##.#......#.#.##........#...#.....##....##.#.....#.....##....#.#..........##....#.....###.#...#.#####...#...#.#.#.....#.....#...##.##.#......#.#..##.#.......#.....#.........#...#.....#..#......#.....##.........#....##..#...##.....##.#..#.#............#.....##............#..............#.........#..............#........##..#..#......#......#.####.........#..##........#..#.#..#.#.#.###..#...##....#...#.#........#....##....##.......#.##...#........#...#...#....###.....#...........#..##....#.#..#..#.#....######.#...##.........#....#......#........#.......#..##.....................#.#.......#...##.#.......#.